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+ 478*x**2 + 673*x**2)*(-1 + 2 - 2)*(1 + 0 + 0) in the form w*x + c*x**2 + q and give c.
-915
Rearrange (-7549*h + 7549*h - 540*h**2)*(-4*h**2 + 7 + 3*h**2 - h**2) to v*h**4 + s*h + i*h**2 + y + g*h**3 and give i.
-3780
Express (-371168*m + 2 - 2 + 366340*m)*(-9 + 8 - 12) in the form c*m + o and give c.
62764
Rearrange -14960 + 116*w + 29924 - 14964 to h*w + j and give h.
116
Rearrange 10985 - 218*j**3 + 10995 + 2*j**2 + 10994 - 2*j - 32964 + 4*j**4 to g*j + s*j**3 + p + n*j**2 + o*j**4 and give s.
-218
Rearrange 3*h**2 + 175*h - 394*h + 171*h + 41*h**2 + 3 to the form k + o*h**2 + q*h and give o.
44
Express 520*q - 5540*q - 1073*q + 120*q - 4281*q in the form h*q + v and give h.
-10254
Rearrange -903*h - 3*h**2 - 77 - 897*h + h**2 + 2*h**3 + 1803*h to the form f + t*h**3 + o*h**2 + n*h and give f.
-77
Rearrange 1021*s + 887*s + 777*s - 57*s - 450*s to the form z*s + r and give z.
2178
Express -25*b + 20 + 490*b - 281*b in the form r + g*b and give g.
184
Rearrange (4*m**2 - m**2 - m**2 + (-1258 + 641 + 669)*(-6*m**2 + 2*m**2 + 2*m**2))*(0 + 2 - 5) to z*m**2 + v + j*m and give z.
306
Express -113 + 150 + 23*n**2 - 24*n**2 - 3*n**3 - 24*n + 5*n**3 as b*n**2 + u*n**3 + w*n + h and give b.
-1
Express -17*q**3 + 17*q**3 + 44*q**3 + 4*q - 4*q - 3*q**3 + (-6 + 6*q**2 + 6)*(-q + q + q) as a + m*q**2 + y*q**3 + b*q and give y.
47
Express -11087*n + 2225*n - 1483*n - 1873*n in the form d + k*n and give d.
0
Rearrange -9544*m - m**4 - 1 - 2*m**3 - 1150*m**2 + 9544*m to the form a + c*m**2 + o*m**3 + k*m**4 + d*m and give o.
-2
Rearrange (11873 - 257 - 2154 + 10965)*(-3*l**4 + 5*l**2 - 5*l**2) to the form g*l**4 + o*l + y + p*l**3 + n*l**2 and give g.
-61281
Express -299 - 2835*t**4 + 0*t**2 - t**2 + 2836*t**4 as i + y*t**3 + j*t**4 + u*t + z*t**2 and give z.
-1
Express (j**3 - j**3 - j**3)*(-1189 + 583 - 16503*j + 606 - 989*j) in the form x*j + d*j**4 + q*j**3 + t*j**2 + m and give q.
0
Express -284*j**2 + 130*j**2 + 139*j**2 + 84 + 2*j as w*j**2 + a + z*j and give z.
2
Express -2 - 4483*a + 4 + 4406*a + 3 in the form w*a + m and give m.
5
Express (0 - 2 + 4)*(21*s**3 - 6085 + 6085) + 4*s**3 + 5*s**3 + 6*s**3 in the form p*s**2 + q*s + t + d*s**3 and give p.
0
Rearrange (-2*n + 3*n + 0*n + (-1 + 1 + 2)*(23*n - 2*n - n))*(6 - 18 - 28)*(-2*n**3 - 8*n**3 + 4*n**3) to u*n**3 + r*n**2 + o*n**4 + b*n + w and give o.
9840
Rearrange -12755190 - n**3 - n + 628*n**2 + 12755187 + 1871*n**2 to the form j*n**3 + f*n + d + l*n**2 and give d.
-3
Express 8 - 1 + 184*x - x**2 + x**4 + 0*x**2 - 3*x**3 + 2*x**3 - 4 as v*x + o*x**3 + q*x**2 + b*x**4 + l and give q.
-1
Rearrange -14177198 + 14177198 + 4764*a to the form s*a + g and give s.
4764
Rearrange 287*u - 855*u + 287*u + 283*u + 64*u**2 - 4*u**3 to the form m*u**2 + q*u**3 + w*u + i and give m.
64
Rearrange -2082*y**2 + 6*y**3 + 4148*y**2 + y**4 - 2076*y**2 - 43*y**3 + 3 to the form p*y**4 + a*y + v*y**2 + k + i*y**3 and give i.
-37
Express -1418*o + 345*o - 1439*o + 133*o as z + d*o and give d.
-2379
Rearrange 1955*s**3 + 871*s**2 - 18 + 2 - 1750*s**2 - 1917*s**3 + 878*s**2 to x*s**3 + p + q*s**2 + a*s and give p.
-16
Rearrange (274 - 247 + 150)*(0*g - 3*g + 0*g) + 13*g - 11*g + 0 + 2 to d + t*g and give t.
-529
Rearrange 32170*y**2 + 34084*y**2 - 69471*y**2 to c*y + n*y**2 + j and give n.
-3217
Express (5*k + 6*k - 10*k)*(7133*k - 7133*k - 1 + 12*k**3) - 2*k**4 - 2*k**4 + 2*k**4 in the form t + p*k**3 + v*k**2 + o*k + x*k**4 and give x.
10
Rearrange (-4*l - 5*l - 50*l)*(l - 4*l + 5*l) + (25 + 2*l - 25)*(l + l - l) to c + f*l**2 + b*l and give f.
-116
Rearrange 4*a - 5*a - 67706*a**2 + 70864*a**2 to p*a**2 + y*a + s and give y.
-1
Express (555 - 450 + 338 + 611)*(3*x - 3*x + 4*x + (2*x + 0*x - 3*x)*(4 + 0 - 3) - 3*x + 5*x + 0*x) in the form w*x + b and give w.
5270
Express (132 - 274 - 15)*(2 - 2 + h**3)*(9 - 4 + 3) in the form f*h**3 + v*h + n + a*h**2 and give f.
-1256
Express (57*g**3 + 9468 - 9468)*(1933 + 12*g - 1933) in the form n*g + j*g**3 + l*g**4 + o + d*g**2 and give l.
684
Express (n - 3*n**2 - n)*(2152 + 67*n - 23*n - 78*n + 18*n + 1432) as v*n**3 + j + d*n + z*n**2 and give v.
48
Rearrange -308*c + 558*c**2 - 559*c**2 + 263*c - 312*c - 2*c**3 - 4 to i*c + m + v*c**3 + s*c**2 and give m.
-4
Express 16072*l - 6443*l + 20996*l + 1035*l in the form q + i*l and give i.
31660
Rearrange (4*z - z - 5*z - z - 4*z + 0*z + (-2*z + 4*z - z)*(-2 + 0 + 1) - 2 - 2*z + 2 + 2*z - 2*z + z + 205 - 205 + 62*z)*(4 - 3 + 2) to t*z + q and give t.
159
Rearrange 10500*g - 42286463 + 42286463 to r*g + b and give r.
10500
Express (-194 - 587 + 349)*(0 + 0 + a)*(-28 - 22 - 6) as n*a + v and give n.
24192
Express -1056*p + 1 - p**3 + 0*p**3 - 2*p**2 + 1077*p as s + y*p + g*p**2 + l*p**3 and give l.
-1
Rearrange 3 - 4 - 2*i**3 - 228*i + 382*i - 2*i**2 to d*i + m + t*i**3 + b*i**2 and give t.
-2
Rearrange 2 - 2 + 53191*f - 56937*f to the form p*f + j and give p.
-3746
Rearrange (21*x**4 + 27*x**4 - 91*x**4)*(0 + 2 - 4) + 26*x**3 + 50*x**4 - 26*x**3 to w*x**2 + d*x**3 + h + n*x**4 + l*x and give w.
0
Express (73 + 175 - 181)*(33*y + 22*y - 19*y)*(-2 + 3 + 0) as d*y + z and give d.
2412
Rearrange -194 + 26595*r + 26577*r - 53176*r to p*r + t and give p.
-4
Rearrange (426*z**2 - 563*z + 563*z)*(-5*z + 2*z + 4*z)*(0 + 3 - 4) to the form f*z + q*z**2 + j*z**3 + v and give j.
-426
Rearrange 141*w - 525 + 534 + 125*w + 118*w to the form x + m*w and give m.
384
Express 213*q - 15*q**3 + 3 - 508*q + 4*q**2 + 294*q in the form o*q + w + j*q**3 + b*q**2 and give j.
-15
Rearrange -4 + 2500*m**4 + m**2 + 12 + 22*m - 2501*m**4 to q*m**2 + p*m**4 + f*m + o + g*m**3 and give p.
-1
Express ((0 + 2 - 3)*(-5 - 2 + 2) + 222 + 237 - 504)*(-16*k**2 - k**4 + 6*k**3 + 16*k**2) as q*k**2 + d*k + z + v*k**3 + r*k**4 and give r.
40
Express 3 - 980*y**2 - 3 - 2474*y**2 + 5489*y**2 + 5*y in the form c*y + v*y**2 + i and give v.
2035
Express 5*l**3 - 6*l**3 + 74*l**3 - 1 + 4*l**3 + 43*l**3 - 3*l as d + o*l**2 + v*l + z*l**3 and give v.
-3
Express -410034*u**2 + u**4 + 410035*u**2 - 10*u + 3*u**3 + u**4 + 2 - 3*u**4 in the form o*u**4 + z + f*u**3 + l*u + i*u**2 and give f.
3
Rearrange (7 - 2 - 1 + (-3 + 1 + 4)*(-1 + 4 + 0))*(6 - 1 - 4)*(21*b - 36*b + 47*b) to the form a*b + l and give a.
320
Rearrange -2*k**4 - k + 549446*k**3 + 7 + 7 - 549444*k**3 to the form b + l*k + q*k**3 + h*k**2 + o*k**4 and give o.
-2
Express (3*i - i - 3*i)*(3*i + 26*i - 5*i + i - i + 3*i + (4 - 2 - 3)*(2*i - 3*i + 0*i) + 3 - 3 - 3*i - i + 0*i - i) as v*i**2 + d*i + n and give v.
-23
Express (4*t + 3*t - 4*t)*(190228*t + 190221*t + 19227*t**2 - 380449*t) in the form r*t**2 + x + q*t**3 + b*t and give q.
57681
Express (-3 + 5*y + 3)*(8510*y**2 + 2050*y**3 - 17024*y**2 + 8514*y**2) in the form b*y**2 + g*y + t + m*y**3 + f*y**4 and give f.
10250
Rearrange 14*y**2 - 794 + 3*y**2 + 3075 + 5*y**2 - 21*y**2 to the form n*y + t + r*y**2 and give r.
1
Express (-141 - 99 + 23)*((4*y - 2*y - y)*(-2*y - y + 4*y) - 5*y**2 + 6*y**2 + 3*y**2) in the form a + r*y + n*y**2 and give n.
-1085
Express (-21 - 37 + 6)*(-1 + 1 - 4)*(-575*r + 2 + 604*r + 1) as v*r + t and give t.
624
Express 31 + 13*v**2 - 10*v**2 - 120 - 90 in the form i*v + l + u*v**2 and give u.
3
Express -n**2 + 33 - 2*n**2 + 47 + 55 - 4*n**2 as g*n**2 + s*n + c and give c.
135
Rearrange 7*y**4 + 2 - 2 + (-3*y**3 + 5*y**3 + 2*y**3)*(77*y + 99*y - 39*y) to n*y + g*y**4 + f*y**3 + u*y**2 + t and give g.
555
Rearrange (-3 + 6 + 3)*((-4 + 2 + 0)*(4 - 1 - 1) - 6 + 2 + 2 + 1 + 0 + 0)*(23*u + 3*u + 85*u) to the form q*u + w and give w.
0
Express (149 - 1105*f + 836*f + 294*f)*(4*f + 3*f - 6*f) as b + y*f**2 + z*f and give z.
149
Rearrange 27 - 29 - 2489*j**2 - 8*j + 2561*j**2 + j**3 to w*j**3 + b + c*j + k*j**2 and give c.
-8
Express 5*g**3 + 106*g - 32*g - 77*g - 42*g in the form d + i*g**2 + j*g + v*g**3 and give j.
-45
Rearrange 1711 - 935 - 2*f**2 - 856 - f**3 to the form p + c*f + i*f**3 + h*f**2 and give p.
-80
Express (1593*w**2 - 50*w**3 - 1593*w**2)*(21*w - w + 99*w) as b*w**4 + l + v*w + m*w**2 + q*w**3 and give b.
-5950
Rearrange (7772*g**2 - 1433602*g + 1433602*g)*(-1 - 3 + 1)*(0 - 2 + 3) to v*g + c*g**2 + j and give c.
-23316
Express 37181*j**2 + 4 - 18594*j**2 - 18585*j**2 + 267*j in the form s*j + r + p*j**2 and give s.
267
|
{
"pile_set_name": "DM Mathematics"
}
|
f**5 + (0 + 3*f**2 + 0)*(-3*f**3 + 3*f**3 + f**3).
3*f**5
Expand (-1835*i + 243 + 21495*i + 235 - 3280*i - 478)*(0 + 3 - 1).
32760*i
Expand (2 - 2 + 5*u)*(2*u - 2*u**2 - 2*u) + (11*u**3 - 185*u**2 + 13*u**3 - 23*u**3)*(-1 - 1 + 0).
-12*u**3 + 370*u**2
Expand (1888*x + 4971*x - 2309*x - 183*x + 6868*x + 422*x)*(2*x + 1 - 1).
23314*x**2
Expand 2*g**5 + g**4 + 2*g - 2*g + (-2*g**2 + 5*g**2 - 2*g**2)*(4*g**3 - g**3 - 2*g**3) + 5147 - 5147 - 6*g**3 + 72*g**5 - 2*g**4.
75*g**5 - g**4 - 6*g**3
Expand (-5 - 1 - 21 - 10)*((-5*k**3 - 2*k**3 + 5*k**3)*(-3*k**2 + 3*k**2 - k**2) + 5*k**5 + 4*k**5 - 6*k**5 - 3*k**5 - k**5 + 2*k**5).
-111*k**5
Expand (17*o**2 + 903*o - 903*o)*(80 - 62*o - 80)*(-1 + 4 - 5)*(-1 + 1 + 2).
4216*o**3
Expand (z**3 + 5*z**3 - 4*z**3)*(0 + 3 - 1)*(-757 - 898 + 468) - 2*z**3 - 2 + 2 + (12 - 12 + 8*z**2)*(-z + 2 - 2).
-4758*z**3
Expand 7*f**3 + 21687350*f**2 - 23*f**3 - 76 - 2*f - 21687353*f**2 + (0 + 2*f + 0)*(-f**2 + f - f).
-18*f**3 - 3*f**2 - 2*f - 76
Expand (8910*j**2 + 5 - 9028*j**2 - 2)*(3*j**3 - 2*j**3 + 0*j**3 + (-j**2 - 4 + 4)*(0*j - 3*j + 2*j)).
-236*j**5 + 6*j**3
Expand (4*p + 2*p - 4*p)*(p**3 - 2*p**3 - p**3) - 3*p**4 + 3*p**4 - 2*p**4 + p**2 + 169908*p**4 + 0*p**2 - 170007*p**4.
-105*p**4 + p**2
Expand (2*v - 29*v**2 - 12*v**2 - 26*v**2)*(92 - 92 + 20*v).
-1340*v**3 + 40*v**2
Expand (l**5 - 5*l**5 + 2*l**5)*(2 - 4 + 4) - l**5 + 1323261 - 246*l**3 - 1323261.
-5*l**5 - 246*l**3
Expand ((6*l - 4 + 4)*(3*l - 4*l + 0*l) + 3*l**2 + 2 - 2)*(27494*l - 559*l**2 - 27494*l).
1677*l**4
Expand (-41 + 21 + 36)*(-4 - 2 + 1)*(-2 + 1 + 3*d**5 - 4*d**5).
80*d**5 + 80
Expand 2*a**3 + 4*a**3 - 5*a**3 + (3*a + 0*a - 2*a)*(-2*a**2 + a**2 - a**2) - a**2 + 16014848*a**3 - 16014829*a**3 - 5 + 219.
18*a**3 - a**2 + 214
Expand (-36000172*x**2 - 13021*x**4 + 36000172*x**2)*(x + x - 4*x + (1 - 1 - x)*(-3 + 4 + 0)).
39063*x**5
Expand 33 - 6*c**2 + 30*c**3 - 34 - c - 29*c**3 - 20*c**2 + 20*c**2 + 9*c**3 + (-2 + 2 + c)*(-c**2 + c**2 + 2*c**2) + 4*c**3 + 2*c**3 - 4*c**3.
14*c**3 - 6*c**2 - c - 1
Expand (-3 - 5 + 2)*(-3*h + 16 + 21 - 32) - 4 - 17*h + 4.
h - 30
Expand (3*w + 2*w - 4*w)*(-3 + 3 + 3)*(2968 + 5464 - 13228).
-14388*w
Expand (0 + 0 + 3)*(-8 - 2 - 2)*(4 + p**2 - 4)*(-2*p - 3 + 3)*(3*p**2 - 5*p**2 - 3*p**2).
-360*p**5
Expand (-3*o - 3*o + 4*o)*(-2 - 2*o + 2) + (14 - 4 + 8)*(-6*o + 4*o - 12*o)*(o - o + o) + 0*o**2 + o**2 - 3*o**2.
-250*o**2
Expand (6*n**2 - 4*n**2 + 0*n**2)*(-5*n + n + 3*n) + 0*n**3 + n**3 + 2*n**3 + (3 - 3 + n)*(-29 + 29 + 5*n)*(-9*n + 12*n - 27*n).
-119*n**3
Expand (31 + 6982*x**3 + 35 - 66 - 1710*x**3)*(-334 + 328 + 5*x**2 - 2*x**2).
15816*x**5 - 31632*x**3
Expand (-371 + 584*u**2 + 62 + 314)*(0*u**2 + 2 - 1 + u**2).
584*u**4 + 589*u**2 + 5
Expand -22*q + 3*q + 39*q - 4 + 18 - 18 + 7*q + 2*q + 0 + 0 + 2*q + 3 - 3 + (-4*q + 3*q - q)*(2 + 1 - 5).
35*q - 4
Expand (-585*z**3 + 585*z**3 + 8*z**4)*(-33*z - 26*z + 51*z).
-64*z**5
Expand (-5*p + 2*p + 2*p)*(-3 + 5 - 1) + 8*p - 2*p + 3*p - p + 2*p + p + (-45 + 45 + 24*p)*(8 + 0 + 1).
226*p
Expand (-2 + 3 + 2)*(60*c + 66*c - 114*c + 17*c**3).
51*c**3 + 36*c
Expand (-v + 0 + 0)*(-215 + 124 - 172)*(-v + v**3 + v) + 0*v**4 + v**4 + v**4 + (v**4 - 2*v**4 + 0*v**4)*(-2 - 1 + 2).
266*v**4
Expand -2*p + 0*p + 0*p + (p + 0*p + 0*p)*(-4 + 0 + 5) + 2*p + 3 - 3 + (0*p - 11*p + 56*p)*(308 - 420 + 286).
7831*p
Expand (5695 - 11215 + 3321)*(-g**3 + 2*g**3 - 2*g**3).
2199*g**3
Expand 2*x**5 - 3*x**2 + 3*x**2 + (-4*x + 4*x - x**2)*(-4*x**3 + 4*x**3 - x**3) + 4*x**5 - 3*x**5 - 2*x**5 + 3*x**4 + 2554*x**5 + 36788*x - 36788*x.
2556*x**5 + 3*x**4
Expand -t**4 + 2*t**4 - 5*t**4 - 12*t + 3*t**4 + 12*t + (5*t + 0*t - 3*t)*(t + 4*t**3 - t) - 2*t**4 + 6*t**4 - 2*t**4.
9*t**4
Expand 3*m**4 - 4*m**4 - m**4 + (4*m + 0*m + 0*m)*(-10 - 1 - 6)*(-m**2 + m**3 - 12*m**2 - 7*m**2).
-70*m**4 + 1360*m**3
Expand (-6 + 27 - 5)*(-10*c + 2*c + 11*c) + (-2 + 2 + c)*(2 - 2 + 1).
49*c
Expand (2*g**2 + g**2 - 2 - g**2)*(2 + 2*g**2 - 1641*g + 1641*g).
4*g**4 - 4
Expand -4 - 4*r**2 + 4 + 4*r + 3*r**2 - 4*r + (2 + 1 - 2)*(r**2 - 4*r**2 + r**2) - 3 - 2*r**2 + 3 - 285 - 294 + 579 + 808*r**2.
803*r**2
Expand (21085*s + 112*s**2 - 21085*s)*(-3*s**3 - 3*s**3 + 3*s**3) - s**5 - 3*s**5 + 2*s**5.
-338*s**5
Expand (-p**4 + 4*p**2 - 4*p**2)*(3 + 1 - 2) + 3*p**4 + 0*p**4 + 0*p**4 - 54*p**4 - 66*p**4 + 11*p**4.
-108*p**4
Expand (1 - 1 + 1)*(-2 - 23 - 4)*(-2*j - 4*j + 4*j).
58*j
Expand ((-2 - 1 + 4)*(-2*r**2 + r**2 + 2*r**2) + (r - r - r)*(4*r - 5*r - 4*r))*(-1 + 1 - 1) + 671 - 671 - 51*r**2.
-57*r**2
Expand -79*l**5 - 397*l**5 - 11*l**5 + (0*l**2 + 0*l**2 - l**2)*(0 + 2*l**3 + 0) + (-2*l**2 + 1 - 1)*(l**3 + 4 - 4).
-491*l**5
Expand d + 25 - 25 + (3*d + 0*d - 5*d)*(-1 + 1 - 2) + 2*d + 2*d - 6*d - 2 + 2*d + 2 + 10*d - 23*d + 12*d + 2*d + 0 + 0.
6*d
Expand (-7*q**2 - 9*q + 9*q)*(-2*q - 1713903 + 50*q**2 - 8*q**2 + 1713915).
-294*q**4 + 14*q**3 - 84*q**2
Expand (3*n**2 - n**2 + 0*n**2 + (43*n + 55*n + 19*n)*(n + 4*n - 2*n) + (-1 + 2 - 3)*(-2*n**2 + 0*n**2 - n**2))*(4*n + 0*n - 3*n).
359*n**3
Expand (-24*j**2 - j + 23*j**2 + 10*j)*(37 - 7*j - 37 - 8*j + 15 - 15 + (-2*j + 3*j - 3*j)*(-1 - 4 + 3) + 4*j + 0*j - 2*j).
9*j**3 - 81*j**2
Expand -2*h - 1 + 0*h + 0*h + (-14374 + 14374 - 748*h)*(1 + 2 - 5).
1494*h - 1
Expand (-133 - 11 + 9*s - 7*s)*(-27*s - 32*s - 5 + 35*s) + 2*s + 2*s**2 - 2*s.
-46*s**2 + 3446*s + 720
Expand (123*n - 11*n + n + (-3 + 3 - 2*n + (0*n - 2*n + 4*n)*(1 + 0 - 2))*(7 + 0 + 0))*(3*n**2 - n + n).
255*n**3
Expand (-1 + 5 - 3)*(-p**2 - p**2 + 4*p**2) + 3*p + 2*p**2 - 3*p - 2*p**2 - 2*p - p**2 + 0*p**2 - 982*p**2 + 664*p**2 - 1251*p**2.
-1568*p**2 - 2*p
Expand (-445*y - 2146*y + 20*y)*(0 + 1 + 1) + 2*y - 2*y - 2*y + (3 - 3 + y)*(-1 - 5 + 2).
-5148*y
Expand -s**2 + s**2 + 3*s**3 - 2*s**3 + 1 - 1 + 3*s**2 - 3*s**2 - 2*s**3 + (-2*s**2 - 3*s**2 + 3*s**2)*(4 + s - 4) + (-s**3 + 4*s**3 - 4*s**3)*(10 + 51 + 61).
-125*s**3
Expand (34*a**3 - 3*a**3 - 96*a**3)*(-2 + 5 + 3)*(-4 + 1 + 4).
-390*a**3
Expand (-1 - 4 + a + 4)*((1 - 2 - 2)*(-2*a - a + 4*a) + 0*a + 61*a + 40*a).
98*a**2 - 98*a
Expand (3*v**3 - 3 + 3)*(3*v - 2*v - 3*v)*(73 + 533 + 1828).
-14604*v**4
Expand 1 - 1 - 3*p**4 + ((-2 - 2 + 2)*(-3 + 2 + 2) + 0 - 2 - 2)*((3 - 3 - 3)*(-2*p**2 - 3 + 3) + 4*p**2 - 6*p**2 + 0*p**2)*(0*p**2 - p**2 - 8*p**2).
213*p**4
Expand (1 - 1 - 2*z**2)*(-3*z + 4*z - 3*z + 2*z - 3*z - z + (2*z + 3*z - 4*z)*(-2 - 49 - 155)).
420*z**3
Expand -6*o**3 + 6*o**3 + o**4 + 2*o**4 + 2*o**4 - 3*o**4 + (3*o - 3*o + 2*o)*(o**2 - 2*o**3 - o**2) + 889*o**4 - 170211*o**2 + 170211*o**2.
887*o**4
Expand 2*k**5 - 3 + 3 + (-k**2 + k**2 + 12*k**4)*(-10265 + 36*k + 10265).
434*k**5
Expand (0 + 0 + 3*t)*(-t + t - 7*t)*(-2 + 255*t - 135*t - 135*t).
315*t**3 + 42*t**2
Expand (0*p + 2*p + 3*p)*(1 + 14 - 1) - p - 1 + 1 + 7*p - 43 + 43.
76*p
Expand (3 - 3 + n**2)*(1 + 0 - 3)*(-1427950 + 1427950 + 1720*n).
-3440*n**3
Expand (-81*t - 8 + 4 + 5)*(-3*t - 3*t + 2*t) + 79*t**2 - 5*t**2 + 2 - 10*t**2.
388*t**2 - 4*t + 2
Expand 14 + d - 14 + (2 - 2 - d)*(5 - 2 + 4) + 3 - 3 - d + 1 - 1 - 4*d + (-d + 0*d + 0*d)*(-4 - 2 + 5) + 3*d + 2*d - 2*d.
-7*d
Expand (-5*s + 0*s - 2 + 7*s)*(4247*s**2 + 2105*s**2 - 3052*s**2).
6600*s**3 - 6600*s**2
Expand (2772 - 78*b**3 - 2772)*(-4 + 0 + 0).
312*b**3
Expand -a**2 - 20*a**4 + 0*a**2 + 17*a**4 + (-a - 1 + 1)*(-147561*a**2 - 895*a**3 + 147561*a**2).
892*a**4 - a**2
Expand (-495 - 61 - 200)*(c**4 + c**2 - c**2).
-756*c**4
Expand (-f**2 + f**2 + 2*f**2)*(0*f**2 - 5*f**2 - 8*f**2) + (0 + f**3 + 0)*(f + 0*f - 3*f) - 1 + 3*f**4 + 1.
-25*f**4
Expand (2*p - p + 5 - 7)*(-1906 + 1833 + 3048 + 7020).
9995*p - 19990
Expand (0*i + 0*i + 7*i + 2*i)*(-694 + 694 - 37*i) - i**2 + i**2 - i**2.
-334*i**2
Expand (-5 - 1 - 8)*(3 + 3 - 4)*(-3057 + 28*u + 3057) + (-3 - 1 + 2)*(u + 3*u - 3*u) - 3*u + 0*u + 0*u.
-789*u
Expand (3*u - 66 + 54 - 2*u)*(-45 - 49 + 6 - 2).
-90*u + 1080
Expand ((-3*o**2 + o**2 - o**4 + 0*o**4)*(-3 + 1 - 1) - 906 + 906 - 55*o**4)*((-3*o + 2*o + 0*o)*(-1 + 1 - 2) - o - 5*o + 3*o).
52*o**5 - 6*o**3
Expand (8*m + 7*m - 5*m)*(2*m**3 - 254*m + 856*m**2 - 856*m**2 - 92*m).
20*m**4 - 3460*m**2
Expand (3311*p - 3311*p + 110*p**5)*((2 - 5 + 1)*(1 + 1 - 1) + 15 - 11 + 16).
1980*p**5
Expand (34*z + 12*z - 8*z)*((-z - 4*z + 2*z)*(z**2 - 2*z**2 + 0*z**2) + 2*z**3 - 2*z**3
|
{
"pile_set_name": "DM Mathematics"
}
|
-40))/23).
2
(386/(-84) - -5) + 5/(-10)
-2/21
What is the value of 4 - 8 - (-348)/90?
-2/15
Evaluate 4/8*(-39 + 37).
-1
What is (80/(-19))/(-2) - (-55 + 57)?
2/19
What is the value of (-4)/(-14) - 1/(42/12)?
0
-1*(-8)/(-8)*1
-1
Evaluate (0 - 24/15)/((-92)/(-230)).
-4
Evaluate ((-6)/10)/(-2 + (-18)/(-10)).
3
What is (1/(-2))/(1/12)?
-6
What is (-60)/(-18) - (4/(-6) - -1)?
3
Calculate (-4)/7 - 715/(-1092).
1/12
What is (153/162 + -1)*4?
-2/9
Calculate 2/(162/30 + -5).
5
Evaluate 4*(-10)/720*3.
-1/6
Evaluate (-16)/24*(-2 + 5).
-2
((-3)/(-132)*24)/1
6/11
What is the value of ((-1)/4)/(100/160)?
-2/5
What is 76/(-24) + (-2)/(16/(-24))?
-1/6
Evaluate 88/(-14) - 120/(-420).
-6
What is the value of -2*(-1)/5*75/(-6)?
-5
(-5)/4 - 150/40
-5
Evaluate 0 + 1 + (-8 - 9 - -14).
-2
Evaluate (5*(-36)/1575)/((-2)/5).
2/7
4/30 - 41/123
-1/5
Evaluate (-14)/(-2) + 44/(-6).
-1/3
-5 - (-1 - 2) - -3
1
(384/3520)/((-6)/10)
-2/11
(((-108)/(-24))/3)/((-2)/8)
-6
What is the value of 2 + 0 + (-27)/(-9) + -1?
4
Evaluate 41/(-8) - ((-30)/(-48))/(-5).
-5
Evaluate (1/(-14))/(52/8 - 7).
1/7
What is 9/12*(-3 + 85/15)?
2
Evaluate (-4)/12*((-54)/10)/3.
3/5
Calculate ((-14)/(-21))/(8/4).
1/3
(10/24)/((-50)/(-15) - 0)
1/8
Evaluate 432/168 + 4/(-7).
2
Calculate -5 + 1 + (-162)/(-39).
2/13
Evaluate -2 + (-2 + 3)*(-10)/(-6).
-1/3
What is ((-1)/12)/((-2)/(-9))?
-3/8
What is the value of ((-20)/4 - -5)/(3/(-1))?
0
Evaluate ((-2)/(-5))/(60/(-75)).
-1/2
Calculate 19/4 + ((-9)/12)/(-3).
5
What is 15/13 - (-8)/(-52)?
1
Evaluate ((-160)/76 - -2) + 0.
-2/19
5 - 4/(-10)*(-729)/54
-2/5
((-5)/(275/(-44)))/(2*-1)
-2/5
Evaluate (-4)/32 - (0 + 0).
-1/8
(14/126*-3)/(1/(-24))
8
(21/56)/((-6)/4)
-1/4
(-1560)/(-806) + (5 - 7)
-2/31
Evaluate 7/(-2) - (-22)/(-44).
-4
Calculate (1/5)/((-17)/34).
-2/5
What is 0/12*(3 + -2)?
0
What is the value of (6/(-16)*(-2)/3)/(-1)?
-1/4
((-1)/3)/(1/(-3))
1
What is the value of (-2)/(-25) - (1404/(-100))/(-13)?
-1
What is the value of (-6 - (-84)/24)/(1/(-2))?
5
What is (58/(-87))/((-1)/(-3))?
-2
What is 5088/(-2880) - (-2)/20?
-5/3
Calculate -3*(10/12)/((-3)/(-6)).
-5
((-14)/(-4) - 2/4)*-1
-3
0 - -1 - (4 + -4)
1
What is ((-6)/54)/((-15)/90)?
2/3
Evaluate ((21/2)/(-7))/(42/(-12)).
3/7
What is 7/42 + 3/((-36)/14)?
-1
(-130)/39 + ((-20)/12)/(-5)
-3
What is the value of ((-5)/(-15))/(-4*7/168)?
-2
((-20)/6)/((-186)/(-279))
-5
Evaluate 3*((-63)/(-45) + (-2)/5).
3
Calculate ((-160)/28 - -1) + (-2)/7.
-5
858/(-65) - -10 - (-2)/10
-3
Calculate (1 + 1)/(63/(-105) + 1).
5
(2/(-20))/((-6)/(-6 + -6))
-1/5
Evaluate 11/15 - (-10)/(-25).
1/3
(-756)/(-77) - (14 - 4)
-2/11
Evaluate 7 - (2/(-3) - (-36)/(-27)).
9
What is 184/24 + -5 + -2?
2/3
(-12)/21*(-63)/342
2/19
Calculate -3*(4 + (-10 - -7)).
-3
Evaluate 5/3 - (-2)/(-3).
1
(6/(-20))/((-12)/20)
1/2
Evaluate -1 + 3/6 + 15/(-6).
-3
Calculate (-9)/12*2*12/27.
-2/3
What is the value of (23/(-22) - -1)/(12/48)?
-2/11
What is (140/1225)/((-2)/(-7))?
2/5
(2/7)/((-442)/182)
-2/17
What is the value of (-8)/5*(-15)/(-60)?
-2/5
(-84)/(-16) - (-5)/2*-2
1/4
What is (-28)/(-56)*(-3)/4?
-3/8
What is the value of 476/(-70) + (-1 - -8)?
1/5
Calculate 2/((4/(-12))/(5/6)).
-5
Evaluate 54/81 + (-26)/(-6).
5
-4 - 3 - (-60)/12
-2
Evaluate 1 - 2/(-10)*-5.
0
Evaluate -3*(-5)/(-75) + 8/(-10).
-1
1 - (18/(-9) - 40/(-14))
1/7
What is (-27 + 27 + 18)/((-6)/(-2))?
6
Calculate -4*(-5)/100 - (-1)/(-5).
0
What is the value of (-2)/30*17/(-17)?
1/15
Calculate (2 - (-78)/(-30)) + 59/115.
-2/23
What is the value of (((0 - -6) + -7)*-3)/(-2)?
-3/2
8 - (-2 + 135/9)
-5
What is (20/550*-10)/(1*2)?
-2/11
Calculate ((25/5)/5)/(13/78).
6
Calculate (-348)/(-36) - 8 - (-10)/(-6).
0
What is the value of 11/((-33)/6) + 7 + 0?
5
Calculate (-2)/6 + (-12 - -13).
2/3
What is the value of 6/4*33/((-1188)/(-120))?
5
Evaluate (-71)/23 - 174/(-2001).
-3
What is the value of 23/(-42) + 2/(-7)?
-5/6
Calculate 19/44 - (18 - 11)/28.
2/11
Calculate 15/(-25) - 29/(-65).
-2/13
(0/11)/(2*1)
0
Calculate (1 - 1)/((0 - 3) + 1).
0
(-126)/28*(-2)/(-3)
-3
What is 1104/(-644) - (-6)/(-21)?
-2
What is 3/(-9) - (-6)/18?
0
What is (350/(-42))/25*36/2?
-6
What is (-27)/(-30) + (-4)/(-40)?
1
(-45)/20 - (1 + (-44)/16)
-1/2
What is ((-6)/(-30))/(-8 + (-385)/(-50))?
-2/3
Calculate (48/(-20) + 2)/((-14)/70).
2
Evaluate 3/(2/(20/(-135))).
-2/9
What is the value of (-1 - 0) + (-51)/(-34)?
1/2
Calculate (-32)/(-64)*(1 - -1).
1
What is the value of (2*3)/(-1) + (222 - 214)?
2
What is (-18)/(-45)*(-10)/4?
-1
253/(-495) - (-1)/9
-2/5
-2 - (25/5)/(-5)
-1
-14*(-66)/(-176)*(-4)/(-3)
-7
What is the value of -2 + 2/(-12) + (-10)/(-6)?
-1/2
What is the value of (-112)/42*3/14?
-4/7
What is the value of 1 - (-4)/8*-1?
1/2
Calculate -1 - 0 - (5 + (2 - 4)).
-4
-6 - (-4 - 14) - (-1 - -7)
6
What is the value of 0/(-4) - 25/(125/30)?
-6
What is 4/3*-2*(-24)/32?
2
Calculate 160/(-15) + 4 + 19 + -12.
1/3
Calculate 117/78 + 31/(-18).
-2/9
What is 2 - (24/(-4))/144*-50?
-1/12
Calculate 37/(1036/(-24))*7.
-6
What is -1*(559/(-143) - -4)?
-1/11
(-81)/(-45)*(14/3 - 3)
3
Calculate (-4)/(-18) - (400/(-36))/4.
3
Calculate (4 - (-14)/(-3))/((-10)/(-120)).
-8
Evaluate (-4 + 1344/340)/((-6)/(-15)).
-2/17
What is (-2)/(2*(-15)/6)?
2/5
Calculate ((-136)/119)/(4/(-14)).
4
What is 125/(-50)*8/(-10)?
2
What is the value of (4 + 18/(-4))*2?
-1
Calculate (-7 - (-30)/6) + 5.
3
(35 - 34)/((-3)/3)
-1
What is 385/70 - 76/14?
1/14
What is (-174)/14 - (-48 - -36)?
-3/7
2/3*111/(-370)
-1/5
Evaluate -15 + 14 + 9/15.
-2/5
8/44 + 339/132 + -2
3/4
Calculate (2 + 0 - 3) + (-24)/(-9).
5/3
What is the value of 2*(3/4)/(4/8)?
3
(2/24)/((-5)/(-10))
1/6
What is (-1 + 84/99)/((-535)/642)?
2/11
What is the value of 20/16 + 3/(-4)?
1/2
What is the value of (-56)/14*(2/(-4))/1?
2
What is (1 - 212/220)/((-10)/50)?
-2/11
What is (-11)/9 - ((-25)/(-9) - 3)?
-1
What is (-93 - -96)*4/(-78)?
-2/13
((-6)/(-15))/(1 + (-7)/15)
3/4
Evaluate (-1)/(-2) + 0 + 3/2.
2
What is -5 - ((-78)/5)/3?
1/5
What is the value of 1/(-3) - (-5)/(240/28)?
1/4
What is the value of (-235)/(-45) - 2 - 3?
2/9
Calculate -3*(1 - -1)/(36/(-24)).
4
What is the value of 9 - (-8)/(-4) - (-10)/(-2)?
2
What is the value of (68/85)/((-2)/(-5))?
2
8 - (6 + -7 + 9)
0
Evaluate (330/(-25))/(-11) + -1.
1/5
((52/(-650))/(2/(-5)))/(-1)
-1/5
What is the value of (3 - (-6 - 0)) + -4?
5
Calculate 3 + -8 - (53 - 66).
8
Calculate ((-49)/(-49))/(1/(-8)).
-8
Calculate -6 + 7 - (3 - (-2 + -3)).
-7
Evaluate (159/53)/((-3)/(-5)).
5
Calculate 1/(((-48)/180)/(4/10)).
-3/2
What is the value of (-384)/204 - 3/6*-4?
2/17
1/(-9) - ((-1467)/81 - -13)
5
Evaluate (1 - 5)*((-63)/14 + 5).
-2
Evaluate ((-28)/35)/(8/(-160)*4).
4
What is 1/3*(-12 - -9)?
-1
Evaluate (-1)/3*(-51 + 39).
4
What is -12 - (1 - 42/7) - -5?
-2
Evaluate 32/48*(-1 + 7).
4
What is the value of (-18)/(-3) - (5 - 1)?
2
What is (-3 - 0)/(2/(-2) + 2)?
-3
What is the value of (111/(-814))/(3/4)?
-2/11
(-2 + 2)/(5 + (-6 - -3))
0
What is the value of (-2 - 0)/(-8)*1?
1/4
(6/(-56))/((525/(-40))/35)
2/7
Evaluate (2/5 - 1)/(15/(-15)).
3/5
Calculate (-16)/88*-11*-4.
-8
Evaluate (-50)/(-15) + (-15)/(-9).
5
What is the value of -21 + 21 + 0/2?
0
What is 15/20 - (-4)/(-8)?
1/4
Calculate (-7 - 368/(-40)) + -2.
1/5
What is the value of 24/35 + 1/28*-8?
2/5
(-5 + 161/21)/((-6)/9)
-4
What is the value of (27 - 30)*-2*(-3)/(-9)?
2
Calculate (2 - 69/39)*(-30)/(-45).
2/13
(-12)/(-8 - -11) + 35/5
3
What is ((-2)/8)/((-177)/20 - -9)?
-5/3
What is the value of 0/(10/(-20)*(-8)/(-1))?
0
(-1)/(-5)*(330/(-18) + 10)
-5/3
What is 2*(-2 - (6 + (-76)/8))?
3
What is the value of (-13 + (-567)/(-49))*-7?
10
Evaluate 664/1162 + ((-34)/(-14) - 2).
1
6/4*(0 + (0 - -2))
3
(148/(-26))/2 + -25 + 28
2/13
What is 20/(-5)*2/(-20)?
2/5
Evaluate 7*3/42*6.
3
Calculate 1/2*0/68.
0
What is the value of (-1 - 0) + 13/(91/6)?
-1/7
What is 7/(-4) - (-21)/(-84)?
-2
What is 28/(-406) - (-1584)/261?
6
Calculate 10/(-15)*(-15)/40.
1/4
What is (-60)/96*6/15?
-1/4
Calculate (-6)/18*(-3)/(-4).
-1/4
What is the value of 186/45 - (-5)/(20/(-16))?
2/15
Evaluate (30 + -39)*1/(-3).
3
Evaluate (10 - 451/44) + (-38)/8.
-5
Evaluate (-3)/3*2/(-6).
1/3
Calculate ((-12)/(-264))/(2/8).
2/11
What is (1 - 1) + 40/(-13 - -5)?
-5
Calculate 4/(-18)*-12 - 2.
2/3
What is the value of (-330)/(-48) - 2 - 5/(-40)?
5
What is the value of (3
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*l + 88 = 5*p, -5*l = -v*p + 68. Calculate the remainder when p is divided by 9.
8
Let y(f) = f - 1. Let m(j) = -45*j - 5. Let t(w) = -m(w) + 4*y(w). What is the remainder when t(2) is divided by 17?
14
Let i = 1416 - 1334. Calculate the remainder when 95 is divided by i.
13
Let y = 3274 + -2215. What is the remainder when y is divided by 9?
6
Let m(z) = -44*z + 418. Calculate the remainder when m(8) is divided by 34.
32
Suppose -52*q + 1311 = 17*q. Suppose k + 150 = 2*u + 41, 4*k = 2*u - 94. What is the remainder when u is divided by q?
0
Let i = 25 - 19. Let h = 15 - i. What is the remainder when ((-11)/3)/(3/(-27)) is divided by h?
6
What is the remainder when (-22)/242 + 2532/22 is divided by 1928/48 - (-2)/(-12)?
35
Suppose -1395 + 35 = -17*j. Calculate the remainder when 557 is divided by j.
77
Let m(u) = -u - 12. Let f = 127 + -153. What is the remainder when 110 is divided by m(f)?
12
Let z = -12 - -31. Suppose z*v + 2 = 20*v. Calculate the remainder when 4 is divided by -4*(10/(-4) + v).
0
What is the remainder when 18 is divided by (-106)/(-265) + 106/10?
7
Let i be (-20247)/(-9) - 2/(-6). Let u be (-2)/(-7) - i/(-63). Suppose -31*h - u = -35*h. What is the remainder when 24 is divided by h?
6
Let n = 1398 - 1375. Let m be (-1 + -4)/((-1)/15). Suppose -q + 16 + m = 0. What is the remainder when q is divided by n?
22
Let n(h) = -h + 16. Let z be n(17). Let y be -1 + (0/z - -1). Let o(k) = -k**2 - k + 35. What is the remainder when o(y) is divided by 18?
17
Suppose -42 = -2*u + x, -5*u = -6*x + 2*x - 105. What is the remainder when 103 is divided by u?
19
Let g = -400 - -462. What is the remainder when 173 is divided by g?
49
What is the remainder when 149 is divided by -1*207*9*14/(-378)?
11
Let c = -26 + 56. Let z be (-16)/(-6)*c/8. Let x = z - 6. What is the remainder when 6 is divided by x?
2
Let v = 24 + -8. Let n(g) = -20*g + 13*g - v + 10*g. Calculate the remainder when n(19) is divided by 11.
8
Suppose -6*z = -z + 60. What is the remainder when 2*2*9/z + 199 is divided by 33?
31
Suppose 28*l - 26*l - 22 = 0. Calculate the remainder when 130 is divided by l.
9
Let r = -20 - -32. Calculate the remainder when 31 is divided by 260/22 + r/66 + 1.
5
Let y(x) = x**3 + 5*x**2 + 2*x + 3. Let d = 22 + -26. Calculate the remainder when y(d) is divided by 4/(-1)*7/(-4).
4
Suppose -10*x + 120 = -4*x. Suppose 17*h = 12*h + x. Suppose 70 = -2*y + h*y. Calculate the remainder when y is divided by 12.
11
Let f(g) = g**3 + 7*g**2 + 11*g + 5. Let b be f(-4). Suppose 0 = b*l - 240 + 33. Calculate the remainder when 68 is divided by l.
22
Suppose 98 = 2*v - 5*t, -15*v + 4*t + 52 = -14*v. Calculate the remainder when 214 is divided by v.
38
Let o(h) = -9*h + 8. Let t = -765 + 786. Calculate the remainder when o(-6) is divided by t.
20
Let l(a) = a**3 + 8*a**2 + 15*a + 4. Let d be l(-4). Suppose 36 = d*b - 12. Let v = 9 + -6. Calculate the remainder when b is divided by v.
0
Let y = -1111 + 1220. Calculate the remainder when y is divided by 19.
14
Suppose 5*i - k + 24 = 0, 5 = 3*i - k + 21. Calculate the remainder when 62 is divided by i/8 + (-325)/(-10).
30
Suppose -19 = -2*s + s. Suppose 3*j = s + 59. Suppose -4*g - j = -174. What is the remainder when g is divided by 20?
17
Suppose 0 = -3*g + 4*g - i - 38, 3*g - 110 = i. Suppose -14*m = -12*m - g. Calculate the remainder when 31 is divided by m.
13
Let i(y) = 9*y + 7*y - 4 + 4*y. Let a be i(2). Suppose -4*d + a = -d. Calculate the remainder when 21 is divided by d.
9
Suppose 341 + 51 = 14*k. Suppose -31*i + 369 = -k*i. Calculate the remainder when i is divided by 18.
15
Let o(g) = 4*g**2 - 17*g + 2. Let r be o(6). Let i = 25 + r. What is the remainder when i is divided by 12?
9
Let q be (-2)/5 - ((-40)/25)/4. What is the remainder when (153/12 - q)/((-12)/(-128)) is divided by 35?
31
Suppose 3*d - 6 = -0*d. Suppose -d*p + 1 + 1 = 0. What is the remainder when (4 - p) + 68 + 2 is divided by 19?
16
Let j(z) = -108*z**3 + 2*z**2 - 6*z + 4. Let s be j(1). Calculate the remainder when (s/81)/((-4)/6) is divided by 2.
0
Let p(q) = 8*q + 9. Let x be p(3). Suppose 3*l = -5*j + x + 51, 2*j = 0. Calculate the remainder when l is divided by 5.
3
Let b = -22 - -46. Let c(a) = a**3 - 5*a**2 - 3*a - 14. Let k be c(6). Suppose k*x - 7 = 45. What is the remainder when b is divided by x?
11
Suppose 7 + 1 = -2*f + 3*d, 0 = 4*f - 3*d + 4. What is the remainder when 76 is divided by (9/f + 2)/((-11)/(-22))?
11
What is the remainder when 87 is divided by (16 + -17)/(-2)*8*11?
43
Let y(h) = -4*h**3 + 2*h + 1. Let j(m) = -m + 78. What is the remainder when j(-6) is divided by y(-2)?
26
Let h = -475 + 513. Calculate the remainder when h is divided by 14.
10
Let h = -120 + 155. Calculate the remainder when 66 is divided by h.
31
Let j = -31 - -44. Let l(g) = g**2 - 15*g + 7. What is the remainder when l(18) is divided by j?
9
Let l(x) = 2*x**2 + 11*x + 9. Let o = 15 - 12. Suppose -8*h = -o*h - 585. Calculate the remainder when h is divided by l(-7).
27
Let j(w) = -5*w + 25. Calculate the remainder when 552 is divided by j(2).
12
Suppose 494 = 5*s - 181. Let d = -40 + 57. Calculate the remainder when s is divided by d.
16
Calculate the remainder when 14 is divided by (116/(-87))/(2/(-9)).
2
Let c be 3/(1/(-1)) + 6. Suppose -2*g - c*s + 4*s + 18 = 0, -5*g + 19 = 4*s. Calculate the remainder when 30 is divided by g.
2
Let o be 7 - 5 - -1*4. Suppose h = 2*h - o. Calculate the remainder when h is divided by ((-3)/(54/(-24)))/(4/6).
0
Let t = -91 + 172. Calculate the remainder when t is divided by (-126)/(-8)*(-48)/(-18).
39
Let b(p) = -p + 12. Suppose -43 - 137 = -12*h. Let g(f) = -f + 22. Calculate the remainder when b(0) is divided by g(h).
5
Let v(n) = n**3 + 9*n**2 + 12*n. Calculate the remainder when 77 is divided by v(-5).
37
Let b be (-12)/(-2 + 1/2). Let f(r) = -r**3 + 10*r**2 - 10*r - 5. What is the remainder when f(b) is divided by 12?
7
Let j(d) = -4*d - 33. Let f be j(-15). What is the remainder when f/(-45) - (313/(-5))/1 is divided by 13?
10
Let n = 209 - 338. Calculate the remainder when (n + 0)*(-1 + (-12)/(-18)) is divided by 11.
10
Let s = 67 + -61. What is the remainder when 76*1 + (-18)/s + 2 is divided by 39?
36
Let v be 10/(-45) - 80/(-36). Suppose -124 = -v*b + 24. Calculate the remainder when b is divided by 11.
8
What is the remainder when 99 is divided by 471/36 - (-8)/(-96)?
8
Suppose 358 = 28*b - 902. What is the remainder when 134 is divided by b?
44
Let y = -1214 + 593. Let w = -10 + 45. Calculate the remainder when w is divided by y/(-33) + (-6)/(-33).
16
Suppose 24 = 2*p - 5*x, -p + 12 = -4*x + 3. Suppose -4*f = -5*s - 169, 3*f - 233 = -2*f - s. What is the remainder when f is divided by p?
12
Suppose 19 = 2*t + 5*p, -3*t - t = p - 29. Let w(y) = 2*y**2 - 6*y - 9. What is the remainder when w(t) is divided by 12?
11
Suppose 0 = 5*o + 3*o - 64. Suppose -4*g + o*g - 40 = 0. What is the remainder when 17 is divided by g?
7
Suppose 3*r = s + 4, 0 = 3*s + 3*r - 10 - 38. Let f = 29 - 25. Calculate the remainder when f/14 + 1752/42 is divided by s.
9
Let x = -135 + 151. What is the remainder when 46 is divided by x?
14
Let r = -5 + 21. Suppose 0 = -2*f + 5*q - 3 + r, 3*f = -2*q + 29. Suppose -7*x = -f*x + 18. Calculate the remainder when x is divided by 4.
1
Let r = -1 + 3. Suppose r*y - 3*j = 136, -y - 2*j + 68 = -0*j. Suppose 3*p = d - p - 14, 4*d + p - 56 = 0. What is the remainder when y is divided by d?
12
Suppose 18*a + 2156 = 22*a. Suppose 10*n - a - 201 = 0. Calculate the remainder when n is divided by 25.
24
Let k = -6 + 6. Suppose k = -11*n + 3*n + 1184. Calculate the remainder when n is divided by 50.
48
Let k be (-3)/(-5) + 2960/25. Suppose 2*n + k = g, g + 2*n - n - 122 = 0. Calculate the remainder when g is divided by 31.
28
Let w(b) = b**2 + 21*b + 149. Calculate the remainder when 214 is divided by w(-6).
37
Let q = 12 + -1. What is the remainder when q is divided by -14*(-21)/2940 - (-69)/10?
4
Let i(o) = o**2 - 5. Let h be i(-6). Let g = 51 - h. Suppose -6*j + j + g = 0. What is the remainder when 14 is divided by j?
2
Let m(n) = -n**3 + 5*n**2 + 5*n - 7. Let a be m(4). Suppose -1 = y - 0, 0 = -i + 2*y + a. What is the remainder when 107 is divided by i?
26
Suppose -15*h + 283
|
{
"pile_set_name": "DM Mathematics"
}
|
77?
-63.69246
What is -298704.13 times 0?
0
Calculate 648*-58429.
-37861992
-19 times 6222960
-118236240
What is the product of -11 and 161579?
-1777369
Multiply -1204203 and 0.15.
-180630.45
Work out 1 * -13611157.1.
-13611157.1
Multiply 11160 and 0.01077.
120.1932
0.905046*-144
-130.326624
Calculate -3.121*129735.
-404902.935
Multiply -16 and 6282.2.
-100515.2
Product of -9297 and -952.
8850744
What is the product of -151.3095 and 0.059?
-8.9272605
1457973*-0.112
-163292.976
What is 8 times 72860701?
582885608
What is the product of 0.04929258 and 211?
10.40073438
What is the product of 12 and -617.687?
-7412.244
Multiply 1 and -25961970.
-25961970
-7135289 * -0.2
1427057.8
Calculate 19339517*17.
328771789
What is the product of -151.9 and 179475?
-27262252.5
Work out -0.2 * -3628483.
725696.6
Multiply -50 and 4.65243.
-232.6215
Calculate -1696*-0.054653.
92.691488
-675173*-4
2700692
-89089414 * -0.1
8908941.4
-2 * -0.0605698
0.1211396
What is the product of -136 and 18640?
-2535040
What is the product of -10327556 and 14?
-144585784
Product of -317901 and 35.1.
-11158325.1
Calculate 440*151116.
66491040
-0.81 * -96942
78523.02
Multiply -22525654 and 0.4.
-9010261.6
Product of -1.673335 and -56.
93.70676
Calculate 535*-9015.
-4823025
Product of 1307.194855 and -0.3.
-392.1584565
Multiply 0.21 and -23.43657.
-4.9216797
905 times 139.6
126338
61*-15505.5
-945835.5
What is the product of -287.7939 and -0.09?
25.901451
Calculate -0.4*-27633897.6.
11053559.04
Product of 6 and 4256580.
25539480
What is the product of 0.5 and 0.175544?
0.087772
-1.272 times 0.01821
-0.02316312
What is the product of -914 and -0.145122?
132.641508
Multiply -13844 and -155.
2145820
What is the product of 198407 and 54.2?
10753659.4
Work out 0.63451 * -0.951.
-0.60341901
-76 times 656396
-49886096
What is 87927694 times -0.4?
-35171077.6
What is -0.1 times -61.003898?
6.1003898
3835 times 2735
10488725
Multiply -165191561 and 3.
-495574683
What is the product of -471.78415 and -0.5?
235.892075
Product of 23965 and 0.4054.
9715.411
-1317173*-78.5
103398080.5
29*-1456057
-42225653
Product of -0.2 and -0.02266298.
0.004532596
Work out -0.106443099 * -5.
0.532215495
Multiply 31433992 and -0.5.
-15716996
49.7 times 25643
1274457.1
Work out -0.3836 * -967.
370.9412
What is 22206 times 0.044?
977.064
What is the product of -321 and 30653?
-9839613
What is the product of 105.6 and 969884?
102419750.4
Multiply 45.327771 and -3.
-135.983313
Multiply -956 and 11.9245.
-11399.822
-1476247*-0.188
277534.436
What is -1862.608 times 0.2?
-372.5216
Product of 0.0837094 and 36.
3.0135384
6913*-14161
-97894993
Calculate -13.4005*-23.
308.2115
Product of 0.0884 and 0.09717.
0.008589828
Calculate -10092*-4.57.
46120.44
Calculate -0.4*-0.2379291.
0.09517164
-1 * 3400363
-3400363
0.618 * 0.2166
0.1338588
0 times -28571
0
-5 * -0.2785384
1.392692
Calculate -1330.8*-711.
946198.8
Multiply -36892 and -66.
2434872
-145.602*20.5
-2984.841
-839 times 26.5955
-22313.6245
-0.0028197 * -0.03
0.000084591
0.1*-2828601
-282860.1
-2 * 12264167
-24528334
-0.4519*0.02533
-0.011446627
What is 0.089 times -7735527?
-688461.903
Calculate 0.75943*-801.
-608.30343
Work out 74737 * -875.
-65394875
What is the product of 4158 and -4451.7?
-18510168.6
What is 52627.8 times -4?
-210511.2
What is the product of -37524 and 1.1?
-41276.4
Multiply 0.4 and -4573361.
-1829344.4
Product of -11 and -38.2915.
421.2065
Work out 201456 * 1.9.
382766.4
-6074 * 0.401
-2435.674
Multiply -0.04 and 8221176.4.
-328847.056
-1835208 times 0.4
-734083.2
What is the product of 14423.494 and 9?
129811.446
What is 1.05 times -2958365?
-3106283.25
2925.4*-238
-696245.2
46*-2056048
-94578208
-6491 * 79
-512789
Work out 4.7 * 517326.
2431432.2
Product of 410 and -306937.
-125844170
74267 times 0.29
21537.43
What is the product of 671.86 and -274?
-184089.64
Calculate 1.93*498.17.
961.4681
Multiply 4 and 391.68558.
1566.74232
Work out -38212977 * -0.2.
7642595.4
Product of -1 and 701.6091.
-701.6091
Work out 3.3 * -283.1253.
-934.31349
Product of 291 and -9.2143.
-2681.3613
766368.68 times 0.8
613094.944
Multiply 382 and -3499651.
-1336866682
Product of 2187458 and 0.2.
437491.6
-12610*247
-3114670
Calculate 217346*0.06.
13040.76
What is the product of 2.6584 and -188?
-499.7792
Multiply 9643764.87 and -4.
-38575059.48
What is the product of 13 and -4972?
-64636
1366107 * -0.1
-136610.7
Multiply 0.2 and -262.15427.
-52.430854
What is the product of -0.07 and 0.091974?
-0.00643818
0.0765 times -6649
-508.6485
-247.6 * 4621
-1144159.6
-0.16*124326.3
-19892.208
-10567621*-0.3
3170286.3
-0.602 times -115790
69705.58
-5312773 * -56
297515288
372.3831*-24
-8937.1944
1338*-76.14
-101875.32
Multiply 111 and -53385.
-5925735
Work out -0.10574446 * 0.3.
-0.031723338
Multiply 28 and 5353783.
149905924
-3.45367*-216
745.99272
What is the product of 31863 and -5904?
-188119152
-6217.6 * -2.4
14922.24
What is -2070524 times 7?
-14493668
What is the product of -5 and 2.344467?
-11.722335
0*46.707395
0
Calculate -7.3*63.15828.
-461.055444
-22000 * 0.0069
-151.8
What is -1897 times -1470.56?
2789652.32
4848.82*8.7
42184.734
What is 9476 times 29497?
279513572
What is the product of 0.0013 and 21722.99?
28.239887
Calculate 0.090563*11.3.
1.0233619
What is -3997 times 5513?
-22035461
0.15 times -1807501
-271125.15
What is the product of 101.284 and -336?
-34031.424
What is -0.2 times -18344937?
3668987.4
What is the product of 45432.3341 and -0.4?
-18172.93364
-5773452 times 2.1
-12124249.2
Product of -1560.564 and -0.2.
312.1128
21 times -5859927
-123058467
Multiply 0.011047 and 12.
0.132564
What is the product of 29.13 and -1085.8?
-31629.354
What is 0.345383 times -7.8?
-2.6939874
Multiply 442304 and -0.0761.
-33659.3344
What is the product of 3.6892 and -327?
-1206.3684
What is the product of 344692983 and 0.1?
34469298.3
4.9 * 18.477
90.5373
Multiply 0.9 and -7378.013.
-6640.2117
2387 * -2090
-4988830
Product of 1.9294 and 9359.
18057.2546
What is -0.0162 times 1188?
-19.2456
What is -0.5 times -0.36205026?
0.18102513
Multiply 0.7 and 34470098.
24129068.6
Work out -1.1904 * -129.
153.5616
-1202911495*0.5
-601455747.5
Product of -49252 and 0.058.
-2856.616
Work out 0.045061 * -0.2.
-0.0090122
Product of -88538855 and -1.
88538855
What is the product of -0.038 and 25353167?
-963420.346
Calculate -38368.9*144.
-5525121.6
-0.114 times 13284
-1514.376
421 times 4386
1846506
What is the product of -40.68 and 0.20747?
-8.4398796
-9 * -26106232
234956088
Product of 0.01 and 128931592.
1289315.92
-3287.721*68
-223565.028
Product of 34325.8 and -13.2.
-453100.56
Work out 0.4 * 0.298813099.
0.1195252396
-7.65 * -25.614
195.9471
-630206959 times 0.1
-63020695.9
Work out 4616639 * -0.4.
-1846655.6
Calculate -294793*-7.
2063551
-208.0053 times -0.172
35.7769116
47.624*-6405
-305031.72
Product of 17.78 and -0.191663.
-3.40776814
What is -6191 times -1255?
7769705
What is the product of 4 and -1442.902?
-5771.608
Product of -1241723 and 0.03.
-37251.69
Multiply -48.9 and 59208.
-2895271.2
What is -1923 times -34562?
66462726
5404346*-8
-43234768
-31 times -0.05790172
1.79495332
-515 * 11023
-5676845
What is the product of 4726.2 and -0.001?
-4.7262
0.026529 times -0.1512
-0.0040111848
What is the product of -1.6 and 1612741?
-2580385.6
Multiply 0.3 and -9.704741.
-2.9114223
6275*-0.5971
-3746.8025
3.2 * -0.0838912
-0.26845184
Calculate 4507235*-166.
-748201010
What is the product of 1756665 and -0.2?
-351333
1.17694353*3
3.53083059
Work out 1.6458 * 680.
1119.144
0.3 * 6037728
1811318.4
What is 374685 times 35?
13113975
-61174.9 * -149
9115060.1
Multiply -120379.8241 and 0.4.
-48151.92964
Calculate -336.83*-3.655.
1231.11365
Calculate 593*103514.
61383802
Work out -59178277 * -0.5.
29589138.5
Work out -18.388 * -681.
12522.228
Work out 234934591 * 0.
0
2365.392 times -40
-94615.68
What is the product of 0.4 and 0.66510011?
0.266040044
What is the product of 1.0184519 and 1?
1.0184519
2684 * 1103
2960452
What is the product of -21958936 and 2?
-43917872
Calculate -0.0494*-26817.
1324.7598
Product of 1.2 and 712129.
854554.8
-1034417 * 0.18
-186195.06
Multiply -14644 and -0.336.
4920.384
What is the product of -2.922905 and -0.59?
1.72451395
Work out 503 * 3.6218.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
s 48 divide 1074074211?
False
Is 112833349 a multiple of 292?
False
Is 443 a factor of 2468184394?
False
Is 112 a factor of 11838848?
True
Is 342 a factor of 63312750?
True
Does 280 divide 229033000?
True
Is 256248237 a multiple of 5160?
False
Is 2035746840 a multiple of 15?
True
Is 99 a factor of 53604441?
True
Does 8 divide 55151821?
False
Does 1265 divide 38997420?
True
Is 9636 a factor of 1444099140?
True
Is 2469902899 a multiple of 176?
False
Is 207 a factor of 541619784?
False
Does 11 divide 1915248859?
False
Is 716831515 a multiple of 5?
True
Does 571 divide 2873263435?
True
Does 18 divide 3595680?
True
Does 7 divide 259861?
True
Is 376741080 a multiple of 30?
True
Does 67 divide 4563290806?
True
Is 21071152 a multiple of 38?
True
Is 102764223 a multiple of 691?
False
Does 126 divide 1918195?
False
Is 7 a factor of 48427890?
True
Is 31482980 a multiple of 95?
False
Does 49 divide 23146081?
True
Is 15714639 a multiple of 13?
False
Is 3 a factor of 24189216?
True
Does 285 divide 93441845?
False
Is 186 a factor of 17823450?
True
Does 9 divide 873865818?
True
Is 107096572 a multiple of 375?
False
Is 567 a factor of 1750758207?
False
Is 1031793526 a multiple of 2703?
False
Is 962 a factor of 268014162?
True
Is 408 a factor of 2840496?
True
Is 53 a factor of 15973617?
True
Is 165 a factor of 53050210?
False
Does 144 divide 28038096?
True
Is 41 a factor of 554689?
True
Is 67 a factor of 175914914?
False
Is 746002277 a multiple of 433?
True
Is 2016570923 a multiple of 15?
False
Does 93 divide 7595124?
True
Is 129704442 a multiple of 14?
True
Is 55518431 a multiple of 127?
True
Is 155 a factor of 34122630?
True
Does 1218 divide 42197610?
True
Does 116 divide 226458088?
False
Is 11135009 a multiple of 1263?
False
Does 108 divide 282946193?
False
Is 1614240312 a multiple of 465?
False
Is 3798980340 a multiple of 11910?
True
Is 20611140 a multiple of 28?
False
Does 3400 divide 99129431?
False
Does 1514 divide 2643352?
False
Does 109 divide 46793155?
True
Is 19 a factor of 139542441?
True
Is 15 a factor of 141702615?
True
Is 690245220 a multiple of 2888?
False
Is 15177099 a multiple of 7?
True
Is 117934280 a multiple of 308?
False
Is 709132625 a multiple of 782?
False
Is 1537 a factor of 13226042?
False
Is 9 a factor of 537119131?
False
Is 204 a factor of 2794721?
False
Is 42 a factor of 9878064?
True
Is 2417051688 a multiple of 6?
True
Is 364248573 a multiple of 2155?
False
Is 145 a factor of 85480110?
True
Does 15 divide 58917817?
False
Is 48984168 a multiple of 3?
True
Is 19 a factor of 209326686?
True
Does 1849 divide 161497207?
True
Is 18 a factor of 89663796?
True
Is 249278212 a multiple of 4?
True
Does 1060 divide 798643960?
False
Does 8 divide 229724496?
True
Does 81 divide 104328?
True
Does 7 divide 6417305?
False
Does 28 divide 11446560?
False
Is 338925540 a multiple of 10?
True
Is 6865 a factor of 242177874?
False
Is 187 a factor of 4255656614?
True
Is 243 a factor of 46056762?
True
Is 372 a factor of 41551656?
True
Does 60 divide 487225740?
True
Is 18327166 a multiple of 1291?
False
Does 45 divide 46484440?
False
Is 445 a factor of 662859752?
False
Does 15 divide 8213763?
False
Is 5 a factor of 110433659?
False
Does 8 divide 701000440?
True
Is 375305315 a multiple of 655?
False
Is 4975 a factor of 190433050?
True
Is 86 a factor of 47876716?
True
Is 17 a factor of 682580752?
False
Does 2085 divide 1008226834?
False
Is 785515536 a multiple of 78?
True
Does 54 divide 59628738?
False
Is 31600478 a multiple of 7?
True
Is 444 a factor of 727836943?
False
Does 2388 divide 27799738?
False
Does 51 divide 139215321?
False
Does 28 divide 4796743?
False
Is 9 a factor of 3464019?
True
Is 18377476 a multiple of 135?
False
Is 202624227 a multiple of 17?
False
Does 36 divide 54553303?
False
Is 276992376 a multiple of 1038?
True
Does 2708 divide 941471404?
True
Does 329 divide 2507684314?
False
Is 979334639 a multiple of 88?
False
Is 3349636 a multiple of 12?
False
Is 320261796 a multiple of 57?
True
Does 182 divide 120848?
True
Does 68 divide 169936216?
True
Is 188 a factor of 183192547?
False
Is 3661710762 a multiple of 50?
False
Is 13 a factor of 44976326?
False
Is 2056 a factor of 39306608?
True
Is 1586006750 a multiple of 12?
False
Does 36 divide 1397377188?
True
Is 47 a factor of 10209716?
True
Is 45030474 a multiple of 711?
True
Is 12038153 a multiple of 107?
False
Is 1421573 even?
False
Does 12 divide 12525358?
False
Is 27979271 a multiple of 1218?
False
Is 12615224 a multiple of 17?
True
Does 332 divide 14308868?
True
Does 132 divide 336984120?
True
Is 4914 a factor of 253783530?
True
Does 110 divide 53341970?
True
Is 192 a factor of 35515424?
False
Does 329 divide 140617612?
False
Does 152 divide 106709935?
False
Does 556 divide 535606827?
False
Is 60296689 a multiple of 3423?
False
Is 49858860 a multiple of 30?
True
Is 15638436 a multiple of 202?
True
Is 3260669853 a multiple of 123?
True
Does 734 divide 25656970?
True
Does 512 divide 43677184?
True
Is 475 a factor of 50636488?
False
Is 721171176 a multiple of 66?
True
Is 189690126 a multiple of 151?
True
Is 27 a factor of 37767762?
True
Is 6697968 a multiple of 16?
True
Is 1937848440 a multiple of 6177?
True
Is 161678030 a multiple of 59?
False
Does 24 divide 403449512?
False
Is 109 a factor of 921676276?
False
Is 743 a factor of 2425152?
True
Does 118 divide 6091932?
False
Is 1523945252 a multiple of 2458?
True
Is 60630048 a multiple of 186?
True
Is 18 a factor of 539737182?
True
Is 953949199 a multiple of 49?
True
Is 57552945 a multiple of 19?
False
Is 26740763 a multiple of 103?
False
Is 1617672 a multiple of 42?
True
Is 116822987 a multiple of 78?
False
Is 40454946 a multiple of 382?
True
Does 5252 divide 146791889?
False
Is 11749734 a multiple of 101?
True
Is 236 a factor of 43360610?
False
Is 3137592053 a multiple of 959?
False
Is 740145038 a multiple of 55?
False
Is 4126430 a multiple of 385?
True
Does 29 divide 49409823?
True
Does 607 divide 75980618?
True
Is 2843020 a multiple of 20?
True
Does 31 divide 11893305?
True
Does 40 divide 96463520?
True
Is 66541580 a multiple of 2206?
False
Is 261432851 a multiple of 349?
False
Is 213707520 a multiple of 1440?
True
Is 23886486 a multiple of 6?
True
Does 22 divide 510579859?
False
Does 344 divide 1298626400?
False
Is 11 a factor of 22918982?
False
Does 130 divide 15970240?
True
Is 1221647484 a multiple of 354?
False
Is 31 a factor of 257943084?
False
Is 74 a factor of 26867106?
True
Is 603 a factor of 19586076?
False
Is 8742034 a multiple of 19?
False
Is 229 a factor of 852844633?
False
Is 246233988 a multiple of 2574?
True
Is 15300670 a multiple of 70?
True
Is 645247129 a multiple of 1138?
False
Does 17 divide 11603112?
True
Is 15460305 a multiple of 365?
True
Is 92 a factor of 51022318?
False
Is 1179 a factor of 776233667?
False
Is 14 a factor of 108413424?
True
Is 16943972 a multiple of 20?
False
Is 29092192 a multiple of 38?
True
Is 120875955 a multiple of 139?
False
Is 18 a factor of 2439321?
False
Is 3 a factor of 66897191?
False
Is 1427 a factor of 639762629?
True
Does 7 divide 9508256?
False
Does 2208 divide 304875536?
False
Is 62353593 a multiple of 732?
False
Is 351 a factor of 506085101?
False
Is 938450926 a multiple of 133?
True
Does 119 divide 31703099?
False
Is 2 a factor of 96949125?
False
Does 8 divide 528312785?
False
Is 14973558 a multiple of 15?
False
Is 4141044168 a multiple of 9496?
True
Is 441 a factor of 5715801?
True
Does 237 divide 119067727?
False
Is 15967703 a multiple of 20?
False
Does 11 divide 157558104?
True
Does 6 divide 63190722?
True
Is 120586256 a multiple of 259?
True
Is 4036 a factor of 1313746252?
True
Does 558 divide 90118058?
False
Does 53 divide 931881802?
False
Is 1836817526 a multiple of 228?
False
Is 5532024 a multiple of 1038?
False
Is 14 a factor of 57632857?
False
Does 10 divide 49221090?
True
Is 6520483 a multiple of 72?
False
Does 53 divide 430546889?
False
Is 14 a factor of 597816659?
False
Does 42 divide 1063869742?
False
Is 1208 a factor of 523566363?
False
Does 4078 divide 608425366?
True
Is 1693463972 a multiple of 10?
False
Does 8 divide 1496161?
False
Is 517 a factor of 60432700?
False
Is 161 a factor of 54341340?
False
Is 1371 a factor of 583833495?
True
Is 457 a factor of 470219
|
{
"pile_set_name": "DM Mathematics"
}
|
nd 1:17 AM?
315
What is 472 minutes before 10:07 PM?
2:15 PM
What is 293 minutes after 5:18 AM?
10:11 AM
What is 170 minutes after 9:46 PM?
12:36 AM
What is 240 minutes before 6:47 PM?
2:47 PM
How many minutes are there between 4:18 AM and 4:06 PM?
708
How many minutes are there between 10:55 AM and 8:39 PM?
584
What is 359 minutes before 5:47 AM?
11:48 PM
How many minutes are there between 12:06 PM and 3:21 PM?
195
How many minutes are there between 6:42 AM and 6:00 PM?
678
How many minutes are there between 11:33 PM and 4:25 AM?
292
What is 420 minutes after 9:23 AM?
4:23 PM
What is 35 minutes after 2:32 PM?
3:07 PM
How many minutes are there between 4:03 PM and 6:09 PM?
126
How many minutes are there between 7:53 AM and 2:31 PM?
398
How many minutes are there between 9:36 PM and 10:30 PM?
54
What is 127 minutes before 10:22 PM?
8:15 PM
What is 690 minutes before 2:33 PM?
3:03 AM
How many minutes are there between 3:35 PM and 1:24 AM?
589
How many minutes are there between 3:12 AM and 1:53 PM?
641
What is 274 minutes after 10:07 PM?
2:41 AM
What is 557 minutes before 6:28 PM?
9:11 AM
What is 279 minutes after 10:34 PM?
3:13 AM
How many minutes are there between 5:52 PM and 3:20 AM?
568
What is 663 minutes before 5:30 PM?
6:27 AM
How many minutes are there between 9:29 PM and 10:31 PM?
62
What is 366 minutes before 3:52 AM?
9:46 PM
How many minutes are there between 9:33 PM and 7:19 AM?
586
How many minutes are there between 4:19 AM and 10:46 AM?
387
What is 467 minutes after 11:20 AM?
7:07 PM
What is 485 minutes after 4:22 AM?
12:27 PM
What is 111 minutes before 4:38 AM?
2:47 AM
What is 60 minutes after 3:35 PM?
4:35 PM
What is 394 minutes before 2:19 AM?
7:45 PM
How many minutes are there between 11:28 PM and 3:39 AM?
251
What is 292 minutes before 3:37 PM?
10:45 AM
What is 254 minutes before 2:29 PM?
10:15 AM
What is 223 minutes after 10:22 PM?
2:05 AM
What is 530 minutes before 5:24 AM?
8:34 PM
How many minutes are there between 12:36 PM and 12:26 AM?
710
How many minutes are there between 7:09 PM and 6:39 AM?
690
How many minutes are there between 6:27 AM and 10:10 AM?
223
What is 705 minutes after 10:45 AM?
10:30 PM
What is 557 minutes before 1:13 PM?
3:56 AM
What is 88 minutes after 7:04 AM?
8:32 AM
How many minutes are there between 2:31 PM and 1:14 AM?
643
What is 599 minutes after 11:01 AM?
9:00 PM
How many minutes are there between 5:34 AM and 7:03 AM?
89
How many minutes are there between 12:31 PM and 7:09 PM?
398
What is 115 minutes after 5:51 PM?
7:46 PM
What is 454 minutes before 4:56 AM?
9:22 PM
How many minutes are there between 11:34 AM and 2:45 PM?
191
What is 49 minutes before 12:46 AM?
11:57 PM
What is 132 minutes before 1:26 AM?
11:14 PM
How many minutes are there between 1:20 PM and 7:54 PM?
394
How many minutes are there between 9:23 PM and 11:55 PM?
152
How many minutes are there between 2:01 AM and 4:01 AM?
120
What is 496 minutes after 5:40 AM?
1:56 PM
What is 142 minutes after 9:28 AM?
11:50 AM
How many minutes are there between 8:18 PM and 4:10 AM?
472
How many minutes are there between 11:07 PM and 7:01 AM?
474
How many minutes are there between 1:55 AM and 12:12 PM?
617
What is 568 minutes before 9:46 AM?
12:18 AM
What is 703 minutes after 7:49 PM?
7:32 AM
How many minutes are there between 5:02 PM and 11:30 PM?
388
What is 663 minutes after 2:34 AM?
1:37 PM
What is 90 minutes after 6:03 PM?
7:33 PM
How many minutes are there between 1:08 PM and 7:33 PM?
385
What is 337 minutes after 9:31 PM?
3:08 AM
How many minutes are there between 8:43 PM and 3:44 AM?
421
How many minutes are there between 1:56 PM and 2:56 PM?
60
How many minutes are there between 2:48 PM and 8:59 PM?
371
How many minutes are there between 2:35 AM and 12:53 PM?
618
How many minutes are there between 4:25 AM and 7:12 AM?
167
What is 669 minutes after 12:24 AM?
11:33 AM
What is 158 minutes before 7:42 PM?
5:04 PM
What is 20 minutes before 12:16 AM?
11:56 PM
What is 697 minutes after 2:49 PM?
2:26 AM
What is 708 minutes before 3:11 AM?
3:23 PM
What is 481 minutes after 5:00 PM?
1:01 AM
What is 444 minutes after 7:13 AM?
2:37 PM
How many minutes are there between 12:51 AM and 4:15 AM?
204
How many minutes are there between 10:40 AM and 9:10 PM?
630
What is 646 minutes after 10:29 PM?
9:15 AM
What is 231 minutes after 11:00 PM?
2:51 AM
How many minutes are there between 11:03 PM and 5:48 AM?
405
What is 386 minutes before 4:05 PM?
9:39 AM
What is 211 minutes after 1:45 AM?
5:16 AM
What is 181 minutes after 7:34 PM?
10:35 PM
How many minutes are there between 2:00 PM and 2:41 PM?
41
How many minutes are there between 6:05 PM and 11:42 PM?
337
How many minutes are there between 4:37 AM and 6:15 AM?
98
What is 97 minutes after 12:28 AM?
2:05 AM
How many minutes are there between 4:28 AM and 12:04 PM?
456
What is 691 minutes before 9:33 AM?
10:02 PM
What is 286 minutes before 4:21 AM?
11:35 PM
What is 641 minutes before 5:52 AM?
7:11 PM
What is 503 minutes before 7:34 AM?
11:11 PM
What is 136 minutes before 1:42 AM?
11:26 PM
What is 462 minutes before 1:32 AM?
5:50 PM
What is 488 minutes after 9:42 PM?
5:50 AM
How many minutes are there between 3:44 PM and 5:12 PM?
88
What is 374 minutes after 12:03 AM?
6:17 AM
How many minutes are there between 4:32 AM and 12:25 PM?
473
How many minutes are there between 11:11 PM and 10:26 AM?
675
What is 127 minutes before 2:20 AM?
12:13 AM
What is 359 minutes before 9:27 AM?
3:28 AM
What is 663 minutes before 3:38 PM?
4:35 AM
What is 507 minutes before 9:54 AM?
1:27 AM
What is 446 minutes before 6:18 AM?
10:52 PM
How many minutes are there between 11:51 PM and 11:06 AM?
675
What is 166 minutes before 12:07 AM?
9:21 PM
What is 690 minutes before 7:33 AM?
8:03 PM
What is 14 minutes before 8:12 PM?
7:58 PM
How many minutes are there between 12:19 AM and 10:36 AM?
617
How many minutes are there between 4:05 PM and 3:45 AM?
700
What is 142 minutes before 10:54 AM?
8:32 AM
How many minutes are there between 9:32 PM and 10:12 PM?
40
What is 209 minutes before 4:08 AM?
12:39 AM
How many minutes are there between 4:18 PM and 7:41 PM?
203
What is 217 minutes before 6:24 PM?
2:47 PM
How many minutes are there between 1:49 AM and 8:14 AM?
385
How many minutes are there between 12:49 AM and 8:28 AM?
459
How many minutes are there between 12:29 AM and 4:35 AM?
246
What is 639 minutes before 11:02 PM?
12:23 PM
How many minutes are there between 9:44 AM and 3:12 PM?
328
How many minutes are there between 9:23 AM and 2:45 PM?
322
How many minutes are there between 9:48 PM and 12:53 AM?
185
What is 418 minutes after 3:37 AM?
10:35 AM
How many minutes are there between 11:29 AM and 9:40 PM?
611
What is 353 minutes after 1:58 AM?
7:51 AM
What is 194 minutes after 9:54 AM?
1:08 PM
What is 443 minutes after 9:48 AM?
5:11 PM
What is 676 minutes before 9:48 AM?
10:32 PM
How many minutes are there between 5:23 PM and 4:28 AM?
665
What is 547 minutes before 12:17 PM?
3:10 AM
What is 123 minutes after 5:01 AM?
7:04 AM
How many minutes are there between 4:04 PM and 2:34 AM?
630
How many minutes are there between 7:49 PM and 7:21 AM?
692
How many minutes are there between 12:28 AM and 10:37 AM?
609
What is 82 minutes after 2:27 PM?
3:49 PM
What is 130 minutes after 2:10 AM?
4:20 AM
What is 532 minutes before 8:03 AM?
11:11 PM
What is 631 minutes after 2:45 PM?
1:16 AM
What is 678 minutes before 1:27 AM?
2:09 PM
How many minutes are there between 12:31 PM and 2:14 PM?
103
What is 153 minutes after 5:53 PM?
8:26 PM
How many minutes are there between 2:33 PM and 6:33 PM?
240
What is 564 minutes after 12:01 PM?
9:25 PM
How many minutes are there between 12:48 PM and 3:40 PM?
172
How many minutes are there between 3:58 AM and 9:25 AM?
327
How many minutes are there between 2:37 AM and 9:36 AM?
419
What is 675 minutes after 12:24 AM?
11:39 AM
How many minutes are there between 10:54 PM and 11:47 PM?
53
What is 244 minutes after 9:37 PM?
1:41 AM
How many minutes are there between 7:55 PM and 10:33 PM?
158
What is 292 minutes after 11:14 PM?
4:06 AM
How many minutes are there between 5:13 AM and 6:29 AM?
76
How many minutes are there between 7:11 PM and 7:01 AM?
710
How many minutes are there between 3:09 PM and 2:42 AM?
693
What is 223 minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
134/70 + 4/14.
35
Let o = 8/293 + 2461/6446. What is the common denominator of -71/20 and o?
220
Let t = -25 + -8. Find the common denominator of 67/6 and 3 + (t/(-36))/1.
12
Suppose -3*h = 2*h - 5. What is the lowest common multiple of 8 and h?
8
Let o(i) = i + 2. Suppose 4*d = 3*d - 8. Let q be o(d). What is the common denominator of 24 and ((-38)/30)/((-2)/q)?
5
Let w = -32 - -60. What is the lowest common multiple of w and 8?
56
Suppose 3*f + 30 = -0*f. Let d(i) = i**2 + 8*i - 10. Calculate the least common multiple of 74/14 - 2/7 and d(f).
10
Let h be (-1)/5 + (-1 - 585). Let j = h + 26719/45. Find the common denominator of j and 50.
9
Suppose -2*u + 2 = -u. What is the least common multiple of (-1 - -16) + (9 - 5) and u?
38
Let h = 6 - 10. Let f = 15 + h. Suppose -2*k - 4 = 0, 4*d + k + 2*k = 26. What is the smallest common multiple of d and f?
88
Suppose 3*z = -8 + 44. Suppose 0 = -4*w - 20, -3*w - 33 = -y - 2*y. What is the lowest common multiple of z and y?
12
Suppose -5*y = -v + 16, v + y - 4 = -0*y. Let m(r) = -r**3 + 6*r**2 + r - 2. Suppose 0 = 413*a - 410*a - 24. Calculate the least common multiple of m(v) and a.
8
Let n = -4415/114 + 70/57. Let o = 70126/5 - 13910. Let s = -116 + o. Find the common denominator of s and n.
10
Find the common denominator of -89/20 and 3*(-1 + 3 - 27/(-2)).
20
What is the common denominator of -87/8 and (116/(-80))/(8/10)?
16
Calculate the common denominator of (0 + -89)/(12/((-2)/(-2))) and -61/4.
12
What is the least common multiple of 6 and 5/(-10) + (-50)/(-4)?
12
Let x = 13791562/1563 + -229969681813/26086470. Let w = 12/1669 - x. What is the common denominator of -113/10 and w?
10
Let p be (-10920297)/(-1577610) - (-2)/(-9). Let z = p + 1/5843. Find the common denominator of 16/9 and z.
90
Suppose 3*c = -0*c + 3, 3*u = 2*c + 256. Find the common denominator of 89/8 and 0 - (-3)/(60/u).
40
Suppose 7*k - 2*z - 26 = 2*k, -2*z = k + 2. What is the least common multiple of 16/(-6)*(-195)/52 and k?
20
Let o = 22 - -2. Calculate the smallest common multiple of 0 - (-8)/(-1 - -3) and o.
24
Let t be ((-52)/12)/((-2)/6). Let p = 17 - t. What is the smallest common multiple of 6 and p?
12
Let p = -229/19 + 712/171. What is the common denominator of p and -87/10?
90
Let o = 6/1109 + 94241/4436. Suppose 2*f - 579 = 51. Calculate the common denominator of 3/3 + f/(-24) and o.
8
Let r = 13 + 15. Calculate the smallest common multiple of r and 20.
140
Let z(h) = h**2 - 3*h + 3. Let k(u) = 2*u**2 - 2. What is the least common multiple of z(4) and k(-2)?
42
Suppose 4*g - 2 = 3*g. Calculate the common denominator of 570/50*(-5)/4 and 0 - (26/24 - g).
12
Let d = 1389 - 12448/9. Let i = -1381/7707 + 18493259/7206045. Let a = i - -168/85. What is the common denominator of d and a?
99
Let z be -2109194*1/(-7364) - -1. Let i = 2684/263 - z. Let j = 276 + i. Calculate the common denominator of -101/20 and j.
140
Let i be (-6)/(-15) + (-3771)/(-60). Let a = i - 61. Calculate the common denominator of 13/10 and a.
20
Let h(w) = -w**3 + 8*w**2 - 8*w + 9. Let m be h(7). Suppose m*f + 0*f = 22. Suppose 3*x = 26 + 1. What is the smallest common multiple of f and x?
99
Let n = -7 - -15. Let b(c) = -c + 18. Calculate the smallest common multiple of 4 and b(n).
20
Let x = -1711 - -6885/4. What is the common denominator of 95/16 and x?
16
Let n = 8 + -1. What is the lowest common multiple of n and 8?
56
Let c = 142 - 62. Suppose c + 10 = 5*x. What is the least common multiple of x and 10?
90
Let x be 3/(9/39) + -2. Calculate the lowest common multiple of (2*-2)/((-2)/x) and ((-36)/30)/(6/(-100)).
220
Let c = 24 - 17. What is the least common multiple of 11 and c?
77
Let w = -3877 - -34945/9. Suppose 3*y = 4*k - 515, 2*y - 4*k = 80 - 418. Find the common denominator of w and (2/12)/(5/y).
90
Let o = 1 + 1. Suppose 0*x = -2*x - o. What is the common denominator of x/(-1) + (-59)/10 and 37/5?
10
What is the common denominator of -13/42 and (-151)/((-4 + 3)*-6)?
42
Suppose 2*s = -6*h + 3*h + 33, -3*h = -5*s + 93. Let l be (-3)/(-9)*(1 - -17). What is the smallest common multiple of (-7 + -1)*l/(-4) and s?
36
Suppose 0*z + 44 = 4*z. Suppose -14 = -5*y - w + z, w + 11 = 4*y. Calculate the least common multiple of y and 14.
28
Suppose 4*y - y + 4461 = -5*g, -3*y - 4464 = 4*g. Let h = y - -16455/11. Find the common denominator of h and -19 - 6/(-27)*3.
33
Suppose 8*s - 122 = 54. Calculate the smallest common multiple of s and 40.
440
Let f = -174605/9836 - -4/2459. Let c = 1113 + -24491/22. Find the common denominator of c and f.
44
Let n = 28 + -14. What is the lowest common multiple of n and 4?
28
Let r be ((-31)/(-14))/(4/136). Let y be 0 - 4/(56/1107). Let d = y + r. Find the common denominator of d and -81/20.
140
What is the common denominator of (-1)/(-4) + (-3)/(216/73) and 121/6?
72
Let v = -170455/11238 - -2/1873. Calculate the common denominator of -29/7 and v.
42
Suppose -3*v - 15 = 3*r, -3*v - 10 = 5*r + 17. Find the common denominator of (-6)/8*(-32)/5 and ((-49)/3)/(10/r).
5
Let o be (-123)/(-4) + 6/24. Let t = o + -21. Suppose 23 + 49 = 4*r. What is the least common multiple of t and r?
90
Suppose -37 - 35 = -3*d - 2*g, 4*g = 5*d - 120. What is the least common multiple of 1/(1/(-1))*-12 and d*2/15*5?
48
Suppose x + 35 = 6*x + a, -4*x - 3*a + 17 = 0. What is the lowest common multiple of x and 22?
88
Suppose 5*y - 1 = -m + 9, 3*m = -4*y + 8. Suppose -7*b = -y*b + 150. Let l = b + 52. What is the lowest common multiple of 6 and l?
66
Let f = -13 + 15. What is the least common multiple of (3/(-4))/((-8)/96) and f?
18
Let w be 45/(-2)*32/(-20). Let t be 1*w*10/(-15). Calculate the common denominator of (2/t)/(3/(-4)) and 97/4.
36
Let x = -19 + 46. Suppose 4*h = 5*r - 0*h + x, 0 = -h + 3. What is the common denominator of ((-52)/(-18))/(1/r) and 6/11?
33
Let z = 2/2748979 - 50111138213/30238769. Let a be 108*(-46)/9*-3. Let j = a + z. What is the common denominator of 44/9 and j?
99
Let b = 352 + -2117/6. Find the common denominator of 85/6 and b.
6
Let i(x) = x**2 + 5*x - 4. Let b be i(-6). Let o(y) = -22*y - 2. Calculate the common denominator of o(b) and 17/3.
3
Suppose 4*l - 42 = -3*b, 3*b - 4*l - 16 - 2 = 0. Let f = 21 - b. What is the lowest common multiple of f and 9?
99
Let b(p) = 1 - p + 0 + 2*p. Let s be b(7). Let t = s + -4. What is the least common multiple of t and 8?
8
Let u = 763/18 - 104/3. What is the common denominator of u and -69/4?
36
Let s be (-8)/2 + (-974)/(-230). Let h = 16121/1380 + s. What is the common denominator of 71/2 and h?
12
Let b(c) = c**2 - 3*c - 8. Let r be b(4). Let y = -41857/6 - -6959. Find the common denominator of y and 94/(-40) - r/16.
30
Suppose -146 = 3*y - 50. Suppose 86 = -4*c - 346. Find the common denominator of (c/(-5))/(0 - 2) and y.
5
Suppose -2*b + 15 = 3. Let p be (-4)/b - 6477/(-9). Let h = p + -7923/11. Find the common denominator of h and -127/6.
66
Suppose r - 36 = -85. Find the common denominator of 101/22 and r.
22
Let b(o) = o**3 + 5*o**2 + 2*o - 2. What is the lowest common multiple of b(-4) and 9?
18
Let k be 2 + (-1 - (-457809)/(-36)). Let u = k + 12728. What is the common denominator of u and (-2)/(-7) + (-242)/112?
24
Let j = 1 - 2. Let b be (-3)/(6/172) + j. Find the common denominator of 0/(-7) - b/10 and 89/4.
20
Let s = -883/3 + 279. Let c = -8 - -12. Calculate the common denominator of c/(-6) + 206/(-6) and s.
3
Let p = 1 + 2. Suppose 0 = -p*a + 3*r + 48, 0*a = 5*a - 3*r - 70. Let f = -8 + 11. Calculate the lowest common multiple of a and f.
33
Suppose -o - 2*o + 5*c - 13 = 0, 3*c + 5 = 5*o. Suppose -t = -3*j + 10, 5*j = o*t + j. Let y = -14 + 25. What is the smallest common multiple of y and t?
55
Suppose -4*d + 3*d + 8918 = -5*t, 4*t + 7134 = d. Let b = t + 3951/2. Let s = -202 + b. Calculate the common denominator of s and 19/7.
14
Let x = -241/3 - -82. Let f = 1/6 - x. Calculate the common denominator of 83/10 and f.
10
Let u be (0 + 1)/((-634)/(-4)). Let h = -32631/3170 - u. What is the common denominator of h and 4 - (-4 + (-164)/16 + -3)?
20
Let g(w) = w**2 + 7*w. Let o be g(-6). Let d be (1 - o/20)*848. Let a = d - 1111. Find the common denominator of -13 and a.
5
Suppose -5*z = -r + 149, 2*r - 287 = z - 2*z. Calculate the common denominato
|
{
"pile_set_name": "DM Mathematics"
}
|
aces.
441
What is -3658589.56 rounded to the nearest 100?
-3658600
What is 0.000043210535 rounded to five decimal places?
0.00004
Round 142862.2087 to the nearest one hundred.
142900
Round 0.026515647 to three dps.
0.027
What is -0.001745216572 rounded to 7 dps?
-0.0017452
Round 1814.00548 to the nearest integer.
1814
What is 3.6611339 rounded to the nearest integer?
4
What is -0.000145038604 rounded to five decimal places?
-0.00015
Round 0.0145192101 to six dps.
0.014519
What is -0.0018682059144 rounded to 7 decimal places?
-0.0018682
What is 0.064435744 rounded to 4 decimal places?
0.0644
Round 165099348.2 to the nearest 1000000.
165000000
Round 30.87791298 to two decimal places.
30.88
Round 0.13451683 to 4 dps.
0.1345
Round -0.00000471645054 to 6 dps.
-0.000005
What is -1413823870 rounded to the nearest 1000000?
-1414000000
What is -0.000195417797 rounded to seven decimal places?
-0.0001954
Round -1925.885364 to 1 decimal place.
-1925.9
What is 6771.409503 rounded to the nearest ten?
6770
Round 0.0080114068 to 3 dps.
0.008
What is -174.678913 rounded to the nearest 10?
-170
Round 3507757.9 to the nearest 1000000.
4000000
What is 2.42550359 rounded to the nearest integer?
2
What is 3730469.2 rounded to the nearest ten thousand?
3730000
Round 5533063.1 to the nearest one million.
6000000
What is -0.000002968745956 rounded to seven decimal places?
-0.000003
What is 0.000184309078 rounded to 6 decimal places?
0.000184
Round 6.604152536 to 1 dp.
6.6
What is -3.0298326 rounded to 2 dps?
-3.03
What is -0.000003063135374 rounded to 7 decimal places?
-0.0000031
What is 0.00082315567 rounded to seven dps?
0.0008232
Round 0.12334119159 to 5 dps.
0.12334
Round 0.001337094452 to 7 decimal places.
0.0013371
Round 4357.90129 to zero decimal places.
4358
Round -1.1528417964 to 1 dp.
-1.2
Round 4105809.89 to the nearest one thousand.
4106000
Round -0.03684067 to 4 decimal places.
-0.0368
What is -0.322239186 rounded to five decimal places?
-0.32224
Round -0.000056740393 to six decimal places.
-0.000057
What is -42066068 rounded to the nearest 10000?
-42070000
Round 1556.927595 to the nearest ten.
1560
Round 0.007420083163 to 4 decimal places.
0.0074
What is -12734265550 rounded to the nearest 1000000?
-12734000000
Round -22586008 to the nearest one hundred thousand.
-22600000
Round -41943.67767 to the nearest 1000.
-42000
What is -171315394 rounded to the nearest 10000?
-171320000
What is 5991117.2 rounded to the nearest one hundred thousand?
6000000
What is -2170.03936 rounded to 1 dp?
-2170
What is -110272.9121 rounded to the nearest one thousand?
-110000
Round -0.000016937461 to 6 dps.
-0.000017
Round 108.771438 to the nearest integer.
109
Round -170.8068489 to the nearest one hundred.
-200
Round -154101.461 to the nearest one hundred.
-154100
Round 72.0587921 to one dp.
72.1
Round -27963416.4 to the nearest ten thousand.
-27960000
Round 4008477.22 to the nearest ten thousand.
4010000
What is 9156385.64 rounded to the nearest one thousand?
9156000
Round 3234.91834 to the nearest 10.
3230
What is -0.0360761633 rounded to 4 decimal places?
-0.0361
What is -133709577.1 rounded to the nearest one hundred thousand?
-133700000
What is 16842.09613 rounded to the nearest one thousand?
17000
Round -4955549.91 to the nearest 1000.
-4956000
What is 3436.84363 rounded to the nearest one hundred?
3400
Round -0.014730947 to two dps.
-0.01
Round 237158.723 to the nearest one thousand.
237000
Round -445225.787 to the nearest 1000.
-445000
Round 19005.3977 to the nearest ten.
19010
Round 0.0008023320676 to 6 decimal places.
0.000802
Round 0.00041609934 to five dps.
0.00042
Round 1.010244 to three dps.
1.01
What is 0.94085231 rounded to 3 dps?
0.941
What is -0.006590123854 rounded to four dps?
-0.0066
Round -0.1088631699 to three decimal places.
-0.109
Round -26942.264859 to the nearest 10.
-26940
Round -0.10758807 to five dps.
-0.10759
What is -1.353784179 rounded to 5 decimal places?
-1.35378
What is 0.00006750763 rounded to 7 dps?
0.0000675
What is -0.0000596626763 rounded to 5 decimal places?
-0.00006
Round -2.57112674 to three decimal places.
-2.571
What is -1643299.29 rounded to the nearest one hundred?
-1643300
Round -1.316135825 to two decimal places.
-1.32
What is 4934.1419 rounded to the nearest integer?
4934
What is 0.0000214580875 rounded to seven dps?
0.0000215
What is 0.00069515452 rounded to 4 decimal places?
0.0007
Round -603702850 to the nearest 1000000.
-604000000
What is 0.00362110313 rounded to four decimal places?
0.0036
Round -196330917.3 to the nearest 10000.
-196330000
What is 0.000982766042 rounded to 6 decimal places?
0.000983
Round -2847385.472 to the nearest 100000.
-2800000
What is 65980.7416 rounded to the nearest 100?
66000
Round -86.60641511 to three dps.
-86.606
What is 26226.84753 rounded to 0 dps?
26227
Round 0.0000048762889 to 6 decimal places.
0.000005
Round -34231418 to the nearest 1000000.
-34000000
Round 1956.572594 to the nearest integer.
1957
Round 0.01078498961 to six dps.
0.010785
What is 0.0129538985 rounded to three decimal places?
0.013
Round -0.0000088367479 to seven dps.
-0.0000088
What is -65837.466 rounded to the nearest ten thousand?
-70000
Round -18584.4366 to the nearest ten.
-18580
What is -52471761 rounded to the nearest one million?
-52000000
What is -0.0088379261 rounded to 5 decimal places?
-0.00884
What is -2393335.8 rounded to the nearest 100?
-2393300
What is -0.0000627201686 rounded to seven dps?
-0.0000627
Round -16.87423411 to one dp.
-16.9
Round 3902.92705 to the nearest 1000.
4000
What is 89192.101 rounded to the nearest 10000?
90000
What is 0.000192473656 rounded to five dps?
0.00019
What is 0.00918103514 rounded to 5 decimal places?
0.00918
Round -0.00000743782067 to six dps.
-0.000007
What is 0.09802872255 rounded to 2 decimal places?
0.1
Round -0.000017563102 to 6 dps.
-0.000018
What is 4.47548908 rounded to two dps?
4.48
Round -0.1783355142 to five dps.
-0.17834
What is -14.5964609 rounded to 2 dps?
-14.6
Round -0.0287296844 to four dps.
-0.0287
What is 149.74044 rounded to one dp?
149.7
What is 0.0015390572 rounded to seven decimal places?
0.0015391
What is 7.2902816 rounded to 1 decimal place?
7.3
What is -955.54973 rounded to the nearest integer?
-956
Round 109613.4957 to the nearest 10.
109610
What is 66005528580 rounded to the nearest one million?
66006000000
What is -5815529.45 rounded to the nearest one million?
-6000000
Round -1830.24593 to the nearest 10.
-1830
What is 0.301659296 rounded to 3 decimal places?
0.302
Round 0.04760481 to two decimal places.
0.05
Round -17.370966 to 0 dps.
-17
Round 8290.72 to the nearest one million.
0
Round -8.07224744 to two dps.
-8.07
What is -9746561.6 rounded to the nearest 10000?
-9750000
What is -382415.435 rounded to the nearest ten?
-382420
Round -0.169370389 to 3 decimal places.
-0.169
What is -0.00304757285 rounded to 4 dps?
-0.003
Round -1398.783625 to the nearest one hundred.
-1400
Round 119.2191641 to the nearest one hundred.
100
Round -180869683 to the nearest 100000.
-180900000
What is 125776493.5 rounded to the nearest one hundred thousand?
125800000
What is 653313.295 rounded to the nearest ten thousand?
650000
Round 0.43180128 to four dps.
0.4318
What is 1.416258334 rounded to 4 decimal places?
1.4163
What is -0.00774550875 rounded to 5 decimal places?
-0.00775
What is -1542660.265 rounded to the nearest 100?
-1542700
What is 18.2890583 rounded to 2 dps?
18.29
What is -13151.9881 rounded to the nearest one thousand?
-13000
Round 0.078260824 to two decimal places.
0.08
Round 10777263.5 to the nearest one hundred thousand.
10800000
What is 0.0000229810779 rounded to 6 decimal places?
0.000023
Round 331840.63 to the nearest one thousand.
332000
What is 0.000013874894 rounded to seven dps?
0.0000139
What is -16225.3419 rounded to 0 decimal places?
-16225
What is 1.53176433 rounded to 0 dps?
2
What is 0.10522187 rounded to three dps?
0.105
Round -0.201213054 to 3 decimal places.
-0.201
What is 218.442352 rounded to 1 dp?
218.4
Round 525073.2564 to the nearest 100000.
500000
Round -6886.660309 to zero decimal places.
-6887
What is -58094766.4 rounded to the nearest 10000?
-58090000
What is -0.0824266447 rounded to four decimal places?
-0.0824
W
|
{
"pile_set_name": "DM Mathematics"
}
|
263 = -5*j. Is 32 a factor of i?
True
Let c = 14 + -21. Let s(w) = w**2 + 3*w + 16. Is s(c) a multiple of 18?
False
Is 28 a factor of 2/5 - 780476/(-410)?
True
Let v be 55/5 - 1/1. Let a be (v/(-4))/((-2)/292). Suppose a = 5*w - s, 4*w + s - 278 = -s. Does 19 divide w?
False
Let o be (259/(-35))/(2/(-70)). Suppose 3*p + 4*j - o = 192, 0 = -2*p + 3*j + 312. Is 17 a factor of p?
True
Let h(q) = 3*q**2 - 78*q + 15. Is h(26) a multiple of 5?
True
Suppose o = -o - 4, -m + 3*o = 0. Suppose 4*q = 5*u + 3*q + 23, -u = 4*q - 8. Is 25 a factor of (-150)/(-2)*u/m?
True
Let d(f) be the third derivative of -7*f**4/24 + 3*f**3/2 - 158*f**2. Suppose 4*t - 14 = -50. Does 18 divide d(t)?
True
Let v(k) be the first derivative of k**2/2 + 2*k + 18. Let s(a) = -a**3 + 6*a**2 - 4*a + 1. Let f be s(5). Is v(f) a multiple of 5?
False
Let s(n) = -4*n**2 - 2*n - 2. Suppose 3*m - 2*o + 9 = 0, -5*m - 3 - 11 = -3*o. Let t be s(m). Is 18 a factor of 236/16*-1*t?
False
Let q(o) = o**2 + 11*o + 14. Let v be q(-10). Suppose -2*t = -4*a - 2, -v*a - a - 4 = -2*t. Let r = 11 - a. Is r a multiple of 5?
False
Let q(i) be the second derivative of 5*i**3/6 + 2*i**2 + 9*i. Let c be (9 + 0)*1/1. Is 7 a factor of q(c)?
True
Let l = -94 + 128. Is l a multiple of 4?
False
Let c be (4/(-4) + 1)/(-2). Suppose c*p + 336 = 4*p. Is 10 a factor of p?
False
Let p = -3 - 8. Does 11 divide -5*p*15/25?
True
Let v = -6 - -23. Suppose x - v = -13. Suppose -22 + 70 = x*u. Does 12 divide u?
True
Let n = -57 - -113. Suppose -3*f - 4*z + 6*z = -n, -5*f + 106 = 3*z. Is 3 a factor of (-5)/f - 66/(-8)?
False
Suppose r + 0*r - 3*w = -9, 9 = r + 3*w. Suppose l - 5 = -3*t - 0*l, 2*t - l + 5 = r. Suppose -4*h + 90 + 106 = t. Is h a multiple of 15?
False
Let z = 1042 - 690. Does 11 divide z?
True
Suppose -2*y + 36*g + 1874 = 35*g, 5*y - 4*g = 4685. Is 20 a factor of y?
False
Let r be -1*6*(-1 + -14). Suppose -4*z - r = -6*z. Suppose 18 = m + j, 2*m - j + 0*j = z. Is 7 a factor of m?
True
Let z = 51 + -47. Suppose 0 = -y + z*y - 72. Is 12 a factor of y?
True
Let l(c) = c**2 - 3*c - 24. Let s be l(7). Suppose 4*x = -20, -s*a + 0*x - 3*x = -21. Is 9 a factor of a?
True
Let w be -2 - 6 - -1 - -4. Let h(y) = 9*y**2 + 3*y - 3. Is 10 a factor of h(w)?
False
Let y(l) = l**3 - 8*l**2 + 9*l - 12. Let c be y(7). Suppose -p - z + 290 = p, c*p - 290 = 5*z. Is 29 a factor of p?
True
Let t(p) = 3*p + 21 + 13 - 31. Let m(o) = -o + 1. Let g be m(-4). Is t(g) a multiple of 6?
True
Suppose 27 - 11 = 4*u. Suppose -400 = -4*o + 4*l, 0 = 3*o - o + u*l - 224. Does 13 divide o?
True
Let l be (-4)/3*15894/12. Does 59 divide 4/((-24)/l) - (-4)/6?
True
Suppose -35*i = -18865 - 6125. Does 42 divide i?
True
Suppose -13*q - 415 = -14*q - 5*g, 4*q - 1675 = -5*g. Is 42 a factor of q?
True
Suppose 5*d = -2*m + 422, d = 9*m - 10*m + 85. Does 4 divide d?
True
Let q = -2 - -11. Let c be ((-2)/(-6))/((-1)/q). Let i(z) = z**3 + 4*z**2 + 2*z + 2. Is 2 a factor of i(c)?
False
Let j(h) = -22*h - 9. Is 9 a factor of j(-9)?
True
Suppose -2 = o + 32. Let w be 4/(-6)*(-19 - o). Let i = 62 + w. Does 23 divide i?
False
Is ((4672/(-12))/(-2))/(4/6) a multiple of 7?
False
Let v(f) = -2*f**2 + 8*f - 1. Let y(o) = 2*o**2 - 7*o. Let k(r) = 4*v(r) + 5*y(r). Suppose 4*p + 6*p = 40. Does 5 divide k(p)?
False
Suppose -l - 6 = -8. Let g be ((-987)/l)/7*-4. Suppose g - 48 = 3*q. Is q a multiple of 25?
False
Suppose 5*m - s = 28, -4*m + m = -3*s - 24. Let i(g) = 4*g - 2*g**2 - g**3 + g**3 - g - m - g**3. Is i(-4) a multiple of 15?
True
Let q = -58 - -88. Is q a multiple of 2?
True
Let m = 214 - 127. Let g = m + -1. Suppose 5*l + g = 6*l. Does 27 divide l?
False
Let l(s) be the third derivative of s**6/120 + 13*s**5/60 + s**4/3 - 5*s**3/3 + 3*s**2. Is l(-11) a multiple of 12?
True
Suppose -5*k + 3*g = -3290, 4*k - 4*g - 2760 = -120. Is 5 a factor of k?
True
Let w(f) = 3*f**3 - 15*f**2 + 26. Let t(q) = q**3 - 5*q**2 + 9. Let i(n) = 17*t(n) - 6*w(n). Let v be ((-16)/6)/(4/(-6)). Is i(v) a multiple of 4?
False
Let k be 21 + (-2 - -3) + -1. Let u be (-8)/4 - (5 + -3). Let j = u + k. Is j a multiple of 13?
False
Let f(m) = m**3 - 3*m**2 - 4*m. Let n be f(4). Suppose n = -3*r - 2*p + 448, r = -p - p + 148. Is 32 a factor of r?
False
Suppose -2*h - 4*n - 54 = 0, -63 = 4*h + 5*n + 30. Suppose -4*q - 20 = 0, -22*z + 109 = -19*z + 4*q. Let i = z + h. Is i a multiple of 7?
False
Let h(p) = -p**2 - 2*p - 10. Let d be h(-5). Is 14 a factor of (((-4)/6)/(-2))/(d/(-3975))?
False
Let w = 26 - 25. Suppose -32 = -2*c + z + 3*z, 0 = -z + w. Is 18 a factor of c?
True
Let u(a) = -a**3 + 13*a**2 + 3*a + 3. Does 79 divide u(-7)?
False
Suppose -4*g = -2*b - 1586, -g - g + 2359 = -3*b. Does 8 divide (-4)/22 - b/11?
False
Suppose 16 = -4*o, 3*l + 4*o = -0*o - 43. Is (-534)/l + -5*8/(-60) a multiple of 10?
True
Let o = -926 + 1480. Is o a multiple of 20?
False
Let k = 511 - 194. Does 14 divide k?
False
Is (6540/24)/5*(-10)/(-1) a multiple of 5?
True
Suppose -468 = -3*b - b. Suppose -d - n - 33 = 32, 0 = 5*d - n + 301. Let l = d + b. Is 14 a factor of l?
True
Let f = -7 + 7. Suppose f = 5*k + 2*i - 394, 0*i = k + 5*i - 65. Is k a multiple of 16?
True
Let g be -12*(21/12 - 2). Let v(y) = -g*y + 3 - 3 - 24. Is 16 a factor of v(-16)?
False
Let y(x) = x**3 - 4*x**2 - 4*x + 7. Let i(z) = -4*z - 3. Let v be i(-2). Is 3 a factor of y(v)?
True
Let l(k) = 19*k**2 + k + 6. Does 36 divide l(3)?
True
Let a = 30 - 12. Let j = -16 + a. Is 2 a factor of (-11)/(j + (2 - 5))?
False
Let h = -97 - 13. Let k = -37 - h. Does 7 divide k?
False
Let z = 197 - 50. Is z a multiple of 21?
True
Suppose -i = 10*i - 924. Does 16 divide i?
False
Let u(w) = -11*w**2 - 3*w + 7. Let a(k) = k**2 - 1. Let o(p) = -2*a(p) - u(p). Let f be o(-5). Is 13 a factor of (f/(-25))/(2/(-10))?
False
Let o = -7 + 5. Does 13 divide (-177)/(-6) + (-1)/o?
False
Let s(n) = 7*n. Let i be s(1). Let r(z) = -z**3 + 8*z**2 - 3*z - 16. Is r(i) a multiple of 6?
True
Let m(q) = q**3 + q**2 - 41*q - 40. Does 46 divide m(13)?
False
Suppose 0 = -44*x + 37*x + 504. Suppose 3*h - x = 36. Is 9 a factor of h?
True
Let p = 215 - 12. Is 29 a factor of p?
True
Let w(y) = y - 4. Let j be w(6). Suppose 5*n - 378 = j*n. Suppose 4*p = -5*m - 42 + n, 3*m + 2*p = 50. Is m a multiple of 8?
True
Suppose 0 = 2*m + 4, -2*y + 213 = 2*m - 335. Does 14 divide y?
False
Let v(p) = p**2 + 8*p - 37. Let o(c) = -2*c + 21. Let s be o(18). Does 17 divide v(s)?
True
Let v be ((-54)/4)/(1/(-2)). Let o = v - 10. Is 6 a factor of o?
False
Let o(p) = -p**3 - 2*p**2 - 3*p - 3. Let h be o(-2). Let u(j) = -3*j**3 - 1 - j**2 - 2*j**h + 7*j**3 + 2*j. Does 12 divide u(3)?
False
Let h(o) = 14*o**2 - 9*o - 3. Let s(l) = -l - 1. Suppose 2*u - 2 + 0 = 0. Let k(i) = u*h(i) - 6*s(i). Is k(2) a multiple of 18?
False
Suppose 17*j = -4*j + 13650. Is j a multiple of 13?
True
Let t(a) = 2*a**2 + 4 - 6 + 14*a + 2. Is t(-9) a multiple of 9?
True
Suppose -4*s = -2*c - 140 - 78, 3*c = 5*s - 273. Is 5 a factor of s?
False
Suppose -6*n - 2*c = -3*n + 19, 0 = -4*n - 4*c - 20. Let l(a) = -a**3 - 10*a**2 - 10*a + 1. Does 10 divide l(n)?
True
Let b(u) = 3*u + 16. Let z(k) = 5*k + 33. Let p(l) = -7*b(l) + 4*z(l). Is p(7) a multiple of 13?
True
Suppose -20 = -4*x - 4*d, 6*d - d = 4*x - 56. Let m(v) = -1 + 2*v + v**3 + 8*v**2 + 6 - 4 - x. Is m(-7) a multiple of 5?
False
Suppose 0 = 3*z - 5*z. Suppose 2*l - 5*v - 41 = z, -2*l - 3*v - 7 + 40 = 0. Let r = 37 - l. Is 19 a factor of r?
True
Does 4 divide (-20416)/(-42) - (4 - (-656)/(-168))?
False
Suppose 5*z + 50 = 5*y, 5*z - 6*z - 6 = -2*y. Let w = 43 - z. Does 12 divide w?
False
Let h(r) = -r**3 + 14*r**2 - 12*r - 17. Let c be h(13). Let k be (-6)/((-484)/122 - c). Let v = k + 259. Is v a multiple of 19?
True
Let i be 5*(-4 + 3)/(-5). Let u be (i*-1)/(5/(-80)). Does 19 divide 19/((-1 - -5)/u)?
True
Suppose -2*o - 7*o - 108 = 0. Does 10 divide 1/2*-4 - o?
True
Let d = -64 + 95. Let z = -12 + d. Suppose 5*u = z + 101. Does 12 divide u?
True
Is 3 a factor of 1/(-2)*-294 - -3?
True
Suppose 0 = -13*x + 14*x + 76. Let r = 148 + x. Is 9 a factor of r?
True
Let o(f) = 0*f - 1 + 7 + 5*f. Is 18 a factor of o(10)?
False
Let y = 6 - 4. Suppose -y*g - 2*g + 20 = 0. Suppose 7*t = g*t + 38. Does 11 divide t?
False
Does 44 divide (1 - -4) + 5 + 4 + 418?
False
Suppose -k - 2*k = -15.
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*t. Let j(z) = 3*z. Let o(i) = 2*f(i) - 2*j(i). Determine s(o(q)).
4*q
Let b(m) = -53*m. Let l(r) = -22*r**2 + 2*r. Give l(b(y)).
-61798*y**2 - 106*y
Let m(k) = 2*k**2. Let l(z) be the first derivative of -39*z**3 - 9. Calculate m(l(j)).
27378*j**4
Let h(a) = 6*a. Let o(d) = 11*d**2 - 9*d. What is h(o(z))?
66*z**2 - 54*z
Let c(r) be the second derivative of -r**3/6 + r. Let j(i) be the second derivative of -i**3/6 + 2*i - 21. Determine j(c(x)).
x
Let y(a) = -a. Let r(z) be the second derivative of -z**4/4 - 7*z. Give r(y(x)).
-3*x**2
Let y(n) = 7*n. Suppose 3*b + 3*l - 11 - 4 = 0, 4*b - 12 = -2*l. Let x(d) = -d**2 + 1. Let f(m) = 3*m**2 - 2. Let s(w) = b*f(w) + 2*x(w). Give s(y(j)).
49*j**2
Let n(q) = -q**2 - 7*q - 8. Let c be n(-6). Let r be c/3*(-2 - 1). Let a(s) = -2*s**r - 3*s + 4*s - s. Let z(g) = -3*g. Calculate a(z(f)).
-18*f**2
Let h(l) = 2*l**2. Let n(p) = 2288*p. Determine n(h(k)).
4576*k**2
Let x(s) = 7*s**2. Suppose 0 = 4*w + w + c - 10, -3*c - 4 = -2*w. Let m(l) = 2*l**w + 1 + 4 - 5. Determine m(x(r)).
98*r**4
Let u(j) = 4*j. Let d(a) = 1. Let t(y) = y + 4. Let f(i) = -4*d(i) + t(i). Calculate f(u(g)).
4*g
Let y(n) = -6*n + 3. Let p(u) = -5*u. Calculate p(y(m)).
30*m - 15
Let g(q) = q**2 - 3*q - 2. Let j be g(4). Let a(i) = 2*i**j - 2 + 4 - 2. Let y(l) = -2 + 2 - l. Give a(y(c)).
2*c**2
Let q = -33 + 33. Let n(d) be the third derivative of 0*d + 1/4*d**4 + q*d**3 + 0 - d**2. Let x(o) = 2*o. Calculate n(x(f)).
12*f
Let a(c) = 8*c**2. Let u(q) = 15*q**2. Determine u(a(h)).
960*h**4
Let k(g) = -2*g**2. Let d(z) = 33*z**2 + 4*z. Let n(s) = -33*s**2 - 3*s. Let y(r) = 3*d(r) + 4*n(r). Calculate k(y(t)).
-2178*t**4
Let y(c) = -5*c. Let u(q) = q**2 - 3. Let i(n) = -5 + 1 + 4 - 1. Let g(r) = 6*i(r) - 2*u(r). What is y(g(s))?
10*s**2
Let i be 6/(-4)*8/(-6). Let n(q) = 0 + 0 + i*q**2. Let c(d) = 3*d**2. What is c(n(z))?
12*z**4
Let m(o) = 2*o. Let w(y) = 767*y**2. Determine m(w(v)).
1534*v**2
Let u(g) = -502*g - 2. Let r(c) = -32*c**2. Determine u(r(i)).
16064*i**2 - 2
Let t(v) = 1081*v + 1. Let r(m) = -2*m**2. Calculate t(r(w)).
-2162*w**2 + 1
Let s(p) = p. Let u(a) = 4*a + 41. Calculate s(u(n)).
4*n + 41
Let r(v) = -10*v**2. Let z(c) = 189*c**2. Calculate r(z(p)).
-357210*p**4
Let z(b) = -b. Let x(d) be the third derivative of 37*d**4/24 + 20*d**2. Determine z(x(a)).
-37*a
Let q(t) = 9*t. Let x(s) = -15*s**2. Determine x(q(d)).
-1215*d**2
Let q(h) = -h. Let g(w) = -1170*w. Give q(g(k)).
1170*k
Let l(y) = y + 1. Let v(m) = 24*m + 22. Let x(a) = 44*l(a) - 2*v(a). Let n(w) be the first derivative of 2*w**2 - 59. Calculate n(x(d)).
-16*d
Let s(n) = 8*n. Let x(y) = -26*y**2 + 16*y + 16. Let h(p) = -5*p**2 + 3*p + 3. Let b(t) = 16*h(t) - 3*x(t). Determine b(s(w)).
-128*w**2
Suppose 4*s - 6 - 6 = 0. Let g(m) be the second derivative of 0*m**s - 1/6*m**4 - m + 0*m**2 + 0. Let d(f) = -f. What is d(g(o))?
2*o**2
Let o(c) = -5036*c. Let n(t) = -t**2. Give n(o(z)).
-25361296*z**2
Let n(z) = -25*z**2 + 11*z. Let f(y) = -5*y**2 + 2*y. Let c(m) = 11*f(m) - 2*n(m). Let g(v) = 12*v. Give g(c(j)).
-60*j**2
Let n(i) = i**2. Suppose 0 = -4*j + 8 - 0. Let u(a) = 2*a**2 - 9*a**2 + j*a**2 + a**2. Calculate n(u(d)).
16*d**4
Let f(p) be the first derivative of 3*p**3 - 2. Let q(y) = -y. Determine q(f(k)).
-9*k**2
Let s(i) be the third derivative of 0*i**4 - 4*i**2 + 0*i + 1/20*i**5 + 0*i**3 + 0. Let m(o) = o. What is s(m(a))?
3*a**2
Let y(m) = -m. Let x be -1*20/(-15)*3. Let f(v) be the second derivative of 0*v**2 + 1/6*v**x + 0*v**3 + 0 + 2*v. Determine y(f(b)).
-2*b**2
Let k(b) = -37*b + 17*b + 14*b. Let j(a) = 2*a**2. Calculate j(k(x)).
72*x**2
Let g(i) = 4*i. Let s(a) = 9*a**2 + 6. Let b(n) = 8*n**2 + 5. Let c(l) = l - 2. Let m be c(7). Let z(d) = m*s(d) - 6*b(d). What is g(z(p))?
-12*p**2
Let j(a) = 3*a. Let o(w) = 1. Let h(f) = -f**2 - 7. Let q(y) = -h(y) - 4*o(y). Let d(z) be the first derivative of q(z). Give j(d(v)).
6*v
Let f(x) = -x. Suppose 11 = h + 2*d - 5*d, -2*h = 5*d + 11. Suppose 0*a - 6 = -3*a. Let c(i) = a*i**2 + 4*i**2 - 2*i**h. What is f(c(n))?
-4*n**2
Let l(k) = k**2. Let f(b) = 106*b**2 + 7. Let h(z) = -35*z**2 - 2. Let q(p) = 2*f(p) + 7*h(p). What is q(l(o))?
-33*o**4
Let l(w) = w**2. Let n(h) be the second derivative of 7*h**4/12 + 6*h. What is l(n(m))?
49*m**4
Let w(r) = -114 + 114 + 32*r. Let z(n) = 2*n**2. What is z(w(v))?
2048*v**2
Let n(h) = 3*h**2. Suppose -4*w + 8*w = 8. Let b(i) = 4*i + i**2 - 4*i - 3*i**w. Determine b(n(z)).
-18*z**4
Let w be ((-5)/(-2))/((-3)/(-6)). Let d(p) = w*p - p - p. Let a(q) = -2*q - 3. Let t(u) = u + 1. Let m(n) = a(n) + 3*t(n). Calculate m(d(r)).
3*r
Let w(h) = -105 + h + 105. Let n(u) = -u**2. What is w(n(m))?
-m**2
Let p(b) = 8*b + 5. Let w(c) = -9*c - 6. Suppose -2*i + 3*i - 6 = 0. Let u(a) = i*p(a) + 5*w(a). Let h(s) = -2*s**2. Give u(h(f)).
-6*f**2
Let z(f) = -2*f**2 - 141*f. Let b(i) = -i. What is b(z(s))?
2*s**2 + 141*s
Let f(u) = 19*u**2 + 5. Let d(x) = -1. Let z(a) = 5*d(a) + f(a). Let t(q) = q. Give z(t(v)).
19*v**2
Let o(g) = -10*g**2. Let j(p) = -8*p - 12. Calculate j(o(y)).
80*y**2 - 12
Let f(d) be the first derivative of -4*d**3/3 - 1. Suppose 4*w = 3 + 5. Let x(p) = -w*p + 0*p + 6 - 6. Calculate f(x(a)).
-16*a**2
Let f be 0/(-4) - (-6)/3. Let g(h) = -f*h + h + 0*h. Let x(s) = -15*s. Calculate x(g(n)).
15*n
Let p(c) = -18*c + 12*c + 20*c. Let r(z) = -z. Calculate r(p(o)).
-14*o
Let j(m) be the second derivative of 101*m**3/6 + m**2 - 3*m. Let c(n) = -n. What is j(c(b))?
-101*b + 2
Let k(l) = 7*l**2. Let o(t) = 140*t**2. Let s(q) = -119*k(q) + 6*o(q). Let d(c) = 2*c + 5. Let a(f) = -2*f - 4. Let v(w) = 5*a(w) + 4*d(w). Give v(s(r)).
-14*r**2
Let s(h) = -96*h**2. Let l(x) = -37*x. Calculate l(s(q)).
3552*q**2
Let c(z) = 9*z. Let q(n) = -8*n + 31*n - 13*n - 13*n. Give q(c(a)).
-27*a
Let i(m) be the second derivative of m**5/120 - 2*m**3/3 + 2*m. Let q(x) be the second derivative of i(x). Let w(b) = -3*b. What is w(q(d))?
-3*d
Let b(u) be the third derivative of u**5/15 + 28*u**2. Let l(r) be the second derivative of -r**3/6 + r. Give l(b(f)).
-4*f**2
Let y(d) = -2*d**2 - 5*d. Let r(u) = -10*u**2. Calculate r(y(w)).
-40*w**4 - 200*w**3 - 250*w**2
Let l(g) be the first derivative of 4*g**3/3 + 1. Let a(o) be the third derivative of 0*o**3 - 2*o**2 + 0*o + 0 - 1/24*o**4. Calculate a(l(n)).
-4*n**2
Let i(z) = 3*z**2. Let b(j) be the first derivative of -j**3/3 - 2. Determine i(b(h)).
3*h**4
Let c(i) = 108*i - 108*i + 4*i**2. Let t(n) = -9*n**2. What is c(t(x))?
324*x**4
Let l(q) = -2*q**2. Let k(z) = 78*z**2 + 74*z**2 - 154*z**2. Calculate l(k(n)).
-8*n**4
Let p(d) = -2*d. Let f(j) be the first derivative of j**2/2 - 3*j + 2. Let v be f(5). Let o(c) = -2*c - 4*c**v + 2*c. Calculate p(o(k)).
8*k**2
Let c(l) be the first derivative of 4*l**3/3 + 2. Let t(h) be the first derivative of -2*h**3/3 + 7. Determine t(c(s)).
-32*s**4
Let y(v) = 2*v**2 - v**2 + 4*v - 4*v. Let g(d) = -d + 2*d - 4*d. What is g(y(t))?
-3*t**2
Let b(h) = -h. Let l be (-2 - -8 - 2) + -1. Let q = 5 - l. Let u(j) = 3*j**q + 2*j**2 - 2*j**2. Give b(u(a)).
-3*a**2
Let i(k) = 6*k. Let b(h) = -4*h**2. Give b(i(g)).
-144*g**2
Let a(v) be the third derivative of 0*v**4 + 0 + v**2 + 0*v**3 - 1/60*v**5 + 0*v. Let p(k) be the second derivative of -k**3/3 + 4*k. Determine p(a(h)).
2*h**2
Let c(a) = -5*a. Let t(u) = -4*u. Let q(o) = 3*c(o) - 4*t(o). Let s be 6/4 + (-4)/(-8). Let d(g) = -1 - 2*g**s + 3 - 2. What is q(d(w))?
-2*w**2
Let f(h) = 5*h**2. Let p(o) = -4*o. Let v(s) = 4*s. Let g(x) = 6*p(x) + 5*v(x). Determine g(f(m)).
-20*m**2
Let c(o) = 2*o**2. Let s(x) = -3*x**2 - 5*x**2 + 4*x**2 + 5*x**2. Determine s(c(i)).
4*i**4
Let m(n) = 2037*n. Let i(o) = 8*o**2. Give m(i(c)).
16296*c**2
Let n(k) = -6*k. Let l(o) = o + 3. Let s(i) = -i - 5. Let t(m) = -5*l(m) - 3*s(m). Calculate n(t(p)).
12*p
Let w(d) = -d**2 + 2*d + 2. Let p(h) = -2*h**2 + 5*h + 5. Let o(m) = -4*p(m) + 10*w(m). Let y(u) = -8*u. Give o(y(r)).
-128*r**2
Let w(h) = h. Let k(a) = -2*a. Let q(f) = -k(f) - 3*w(f). Let s(u) = 3*u**2 - 2*u + 2. Let i(y) = -y**2 - y + 1. Let x(d) = 2*i(d) - s(d). Give q(x(g)).
5*g**2
Let h(l) be the second derivative of -2*l + 0*l**3 + 0*l**2 + 0 - 1/6*l**4. Let a(p) = -p**2. Give a(h(x)).
-4*x**4
Let s(o) = 2*o - 147 + 147. Let h(v) = -v +
|
{
"pile_set_name": "DM Mathematics"
}
|
t - 4 = 0. Is t less than r?
True
Let b = 2 + -2.1. Let q = 0.1 + b. Let r = -0.2 - q. Which is smaller: -1 or r?
-1
Let s be 78/(-60) - 1*-1. Which is smaller: 0 or s?
s
Let t = -5476/3843 + -2/549. Is t at least as big as 0?
False
Let t = 0 - 12. Is -13 at most t?
True
Let w = -9/4 - -53/20. Let c(z) = -4*z - 9. Let n be c(-6). Suppose 0 = 5*p - 0*p - n. Which is bigger: w or p?
p
Let s(b) = b**2 + 8*b + 4. Let x be s(-8). Suppose -5*c - 2 = 4*w, 4*c + 3 = x*w - 13. Suppose -w*h = -h. Is -1/3 less than or equal to h?
True
Suppose 5 + 11 = -g. Which is smaller: -17 or g?
-17
Let c = 9 - 9. Let u = c + 8. Let v = 11 - u. Which is bigger: v or 0?
v
Suppose -4*k + 6*k + 10 = 0. Let t = 5 + k. Which is bigger: t or 2?
2
Let b(a) = 5*a**2 + 1. Let u(z) = -z**3 + 8*z**2 - z + 9. Let o be u(8). Let i be b(o). Let s be (i/(-20))/((-9)/12). Which is smaller: 1 or s?
s
Suppose -3*h - 3*v = -v - 10, 5 = v. Let p = 5.98 - 6. Let c = p + -0.18. Is c less than or equal to h?
True
Let t be 7563/(-84) + (-2)/4. Let h = -181/2 - t. Let y = h - 31/84. Which is smaller: y or -1?
-1
Let z(x) = -6*x + 3. Let a(v) = -2*v + 1. Let n(u) = 17*a(u) - 6*z(u). Let c be n(2). Which is smaller: c or 1?
1
Let g = 5 + 0. Suppose -g*a - 3 = -2*a. Which is smaller: 2/29 or a?
a
Suppose -3*y - 16 = -y. Which is smaller: -7 or y?
y
Let j be 53784/61040 + 6/(-10). Let u = 1/218 + j. Are u and 5 unequal?
True
Suppose 3*v = -5*k + 5, k + 2*v - v = 3. Let l be ((2 + 3)*-1)/(-1). Suppose -10 = l*b - 0. Is k at least as big as b?
True
Let o = 15 - 10. Let y = -8 + o. Let p = 32 - 65/2. Which is smaller: y or p?
y
Suppose -u - 4 = 2. Is u > -7?
True
Let s = -52.2 - -52. Is s greater than -5?
True
Let n(r) = -5 + 5*r - 4 - 4*r. Let d(p) = p - 9. Let h(a) = -5*d(a) + 4*n(a). Let m be h(7). Which is smaller: -3 or m?
-3
Let q = 0.1 + -0.21. Let o be 9 + -1 + -10 - (-4)/2. Are o and q unequal?
True
Let z be (0 - (1 - 0))*1. Which is greater: 1 or z?
1
Let c = 1 + -2. Let r = 12.7 + -13. Is r less than or equal to c?
False
Let c = 5 - 1. Let i be 3/(-2)*(-24)/18. Let q = c - i. Which is bigger: -1 or q?
q
Let x = -24 + 41. Which is bigger: x or 19?
19
Let m(l) = l**3 - 4*l**2 + 1. Let v = -7 - -11. Let g be m(v). Which is smaller: g or 2?
g
Let q = -363637 + 80000317/220. Let w = q - 27/20. Is -2 <= w?
True
Suppose -3*w = -h + 24, 2*h + w - 17 = 24. Let o be 6/(-28) - 6/h. Let y(g) = g**3 + g - 1. Let i be y(0). Which is smaller: o or i?
i
Let h = 7 + -7.2. Let l = -0.5 + -1.5. Which is smaller: h or l?
l
Let x = 38.88 - 38. Let i = x - -0.12. Is i >= -0.1?
True
Let i(q) = -q + 6. Let a be i(4). Suppose 32 = -a*z + 2*t, 7 + 1 = -2*z - 4*t. Which is greater: z or -11?
-11
Let c = -31 + 33.3. Let l = -0.3 + c. Is l at most 0?
False
Let r(o) = -o - 5. Let s be r(-7). Suppose -4*y = 3*g - 7*g - 28, -23 = -s*y + 5*g. Suppose a + y = 3. Is a smaller than -1?
False
Suppose v = -0*v - o + 40, -2*o = -2*v + 60. Suppose 6*r + v = r. Let s = -7 - r. Are s and 1/6 non-equal?
True
Suppose -x = -2*x - 4*f + 3, -4*f = -4. Suppose 3*t - 15 = 0, -4*l = l + t + 5. Is x < l?
False
Let w = 9.32 - 10.3. Let c = w - 0.02. Which is bigger: c or 1?
1
Let g = 3/13 + 1/52. Suppose -1 = 2*q - d - 2, 2*d = q - 5. Which is smaller: q or g?
q
Suppose -3*u = -0*u + 6. Let a be 19*1/(-7) + (-2)/7. Are u and a equal?
False
Let b be 1/(-23) - (-4 + 4). Which is greater: 0 or b?
0
Let d = -8 - -11. Suppose d*c - 4 = c. Suppose c*i = -i - 6. Is i <= -3?
False
Let f be (-6)/8 + (-63)/(-36). Are -2/67 and f non-equal?
True
Let c = 89/24 - 29/8. Which is smaller: -1 or c?
-1
Let g = 6/83 + -427/166. Which is smaller: g or 2/5?
g
Let q = -1 + -7. Let b(o) = -11. Let c(z) = z - 1. Let m(j) = -b(j) + c(j). Let h be m(q). Is 1 <= h?
True
Let m(o) = 2*o**2 + 3*o - 4. Let y be m(-3). Let g be (6/(-4))/(5/(-50)). Let a = g - 11. Which is bigger: y or a?
y
Let n be 3 + 1 + (-168)/78. Which is smaller: n or 3?
n
Suppose 5*k = -2*f - 27, -f - 4*f = -k. Let w(x) = x**2 + 7*x + 5. Let r be w(-2). Are k and r equal?
True
Let h be 3 - 3/7*-199. Let w = 88 - h. Which is bigger: w or 0.4?
0.4
Suppose -s = -2*q - 4*s + 1, -5*s + 5 = 0. Suppose -3*k - 10 = -8*k. Suppose 7 = -4*b + k*d - 1, -3*b = -2*d + 7. Is q equal to b?
True
Let t = 662/5 + -132. Let d(h) = -h**3 + 4*h**2 - 4*h + 4. Let f be d(3). Which is smaller: t or f?
t
Suppose 3*k = 2*p + 8, k = -3*p + 3*k - 7. Let r be (-4)/10 + p/(-15). Let s(q) = -2*q**2 - 1. Let c be s(0). Which is smaller: r or c?
c
Suppose 0*o + 3*o = 3. Suppose 4*b + o = 9. Suppose 0 = b*p + 2*p. Which is smaller: -2/5 or p?
-2/5
Suppose -x + 3 = -2. Suppose 0 = -2*t - x*d - 12, -2*t - 2*d - 2*d = 12. Is -6 at most as big as t?
True
Let l = -1 + 2. Let c be l*(-2 - -1)*0. Which is bigger: c or -1/3?
c
Let w be 2/(1/(-3)*-1). Suppose -6*g - w = -9*g. Let z be (-1)/(-4) - g/(-8). Is z at least as big as 1?
False
Let c(k) = k**2 + k - 3. Let l be c(-2). Is 2/73 at most as big as l?
False
Let k be (-2)/(-5) + (-3)/10. Are 1 and k equal?
False
Suppose -4*a = 3*o + 15, 2*a - 9 = 4*a + 3*o. Is a != -1?
True
Let v(q) = -4*q + 51. Let h be v(17). Is h != -17?
False
Suppose j = -3*j + 16. Suppose -j*f + 2*f - 4 = 0. Let q be f/(-6)*(-12)/22. Which is bigger: -1 or q?
q
Let d(o) = o**2 - 16*o + 5. Let h be d(13). Are h and -35 equal?
False
Suppose 0 = r - 2*a + 3*a + 15, -3*a + 45 = -3*r. Do r and -15 have different values?
False
Let u(j) = j + 4. Let x = 11 + -6. Let s be u(x). Suppose -2*d - 10 = 0, 5*f = 3*d - s - 1. Is -4 not equal to f?
True
Let j be 10*((-12)/45 + 4/6). Which is smaller: 5 or j?
j
Let k = -19 - -18.87. Let i = k - -0.53. Which is smaller: i or 0?
0
Let r be -9 - 2*(-2 + 3). Suppose 13 = -i + 2*p, -p - 8 = 3*i + 24. Do i and r have the same value?
True
Let y be (9 - 0)*(-4)/(-12). Suppose -y*x - 9 = -3*h, 2*h + 2*h - 15 = x. Suppose h*t + 0*t = 0. Which is greater: -1/3 or t?
t
Let x(o) = -o - 3. Let r be x(0). Do -5 and r have the same value?
False
Let l = -0.04 + 25.54. Let k = 25 - l. Which is bigger: 0.2 or k?
0.2
Let v = -58 - -59. Is v at most -2/11?
False
Let w = -179 - -180. Let h = -360 - -4682/13. Which is smaller: h or w?
h
Let m = -19 - -113/6. Let x = 8.4 - -1.6. Let c = 8 - x. Which is greater: m or c?
m
Let t be (-4)/14 - 32/(-14). Let r = 6 + t. Suppose -c = 3*c - r. Is c less than 4/5?
False
Let l = -66 + -12. Let k = -548/7 - l. Is k bigger than 0.2?
False
Let q = -2 - 0. Let d = 4 + q. Suppose 0*z + z - d*y = -3, -3*z = -2*y + 5. Which is smaller: z or -2?
-2
Suppose 2*i = 10 + 2. Let w be 16/6*i/(-28). Is w smaller than 0?
True
Let z = -13 + 7. Let a(h) = -h**2 - 6*h - 5. Let x be a(z). Is x greater than -5?
False
Suppose 0 = -2*w - 4*y + 4, 3*w + 5*y - y = 12. Let m = w + -6. Suppose -q + m*q = 1. Is q at least 2?
False
Suppose 2*v + v + 1 = z, v + 3*z - 3 = 0. Is v not equal to 10/11?
True
Let j = 38 + -39. Which is greater: j or -43?
j
Suppose 0 = -0*t + 3*t - h - 8, -5*t = -3*h - 12. Let g = t - 3. Suppose g = -9*w + 4*w - 20. Which is smaller: -2 or w?
w
Let j = -3 + 2.8. Let l = 0.3 - 0.1. Which is smaller: j or l?
j
Let f be ((-6)/40)/(172/20 - 5). Which is greater: f or 0.1?
0.1
Suppose -4*x + 3*z + 13 = -38, 0 = x - 3*z - 15. Let u be (1/4)/(6/x). Are 2 and u equal?
False
Let h = -2 + -1. Let t = h - -5. Let v = t - 1.9. Are v and -0.2 equal?
False
Let u = -16 - -30. Let c be 6/u*14/(-16). Is c at most -1?
False
Suppose -3 = -3*g - 4*o, 0*g + g + 4*o = 1. Which is bigger: g or 2?
2
Let u(g) = -g + 6. Let y = -11 - -14. Let x be u(y). Is 4 bigger than x?
True
Let z be (-64)/(-10) - (-2)/(-5). Let g = z - 6. Let a = -2/157 + -147/785. Is g at most a?
False
Let l be 2/(-10)*(-2 + 3). Let y = -26 - -23. Which is greater: y or l?
l
Let s be -2*1/(-2) - 3. Let b be s + 1 + 1 - 45. Let k be ((-3)/4)/(b/6). Which is smaller: 1 or k?
k
Let h be 3 + (3 + -3)/(-1). Let x(l) = -l**3 + 2*l**2 + 4*l. Let c be x(h). Suppose -2*m + 5*m - 12 = 0. Which is smaller: c or m?
c
Let y be 35/(-12) + 6/24. Let c = y + 7/3. Which is smaller: -0.2 or c?
c
Suppose -4*c - 8 = -12. Which is bigger: -1/8 or c?
c
Suppose -3 = 2*k - 1. Is k smaller than -3?
False
Suppose 2 = -5*q + 12. Let z be q/3*24/32. Which is smaller: 0 or z?
0
Let c = 2/69 - 77/276. Let y = 4 + 1. Suppose t = y*t - 4. Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
be -8 - -6 - -2*21/3. Solve 0 = -11*t + q*t + p for t.
-5
Let b(n) = -n**2 + 12*n - 38. Let r be b(5). Let w be r*(-6)/36*10. Solve -o - w*o - 24 = 0 for o.
-4
Let z(p) = p**3 + 2*p**2 - 6*p + 9. Let u be z(-4). Let i(q) = -19*q - u + 19*q + 17*q**2 - 8*q**2. Let x be i(-1). Solve -f - 3*f - x = 0 for f.
-2
Let b(g) = -g**3 + 1. Let p be b(-2). Let z = p - 7. Let i be (36/21)/((z/(-7))/(-1)). Solve 20 = i*f - f for f.
4
Let m(l) = l**2 - 5*l + 3. Let f be m(2). Let j = 3 - f. Let k = -17710 + 17710. Solve k = -0*w - 2*w + j for w.
3
Let d(i) = -2*i**3 + i**3 + 4*i**2 - 15*i + 0*i**3 - 13*i**2 - 5. Let o be d(-7). Solve -p + o*p + 4 = 0 for p.
-4
Let u = -171 + 175. Let l be (u/(-20))/((-12)/120). Solve -l*z - 7 = -11 for z.
2
Let f(i) = i**3 + 9*i**2 + 7*i - 4. Let x be f(-8). Let l = 52 - 52. Suppose -10*o + 40 = -l*o. Solve -x*q - o = -0 for q.
-1
Suppose 4*w - 16 = -0*w. Suppose 0 = 5*n - 7 + 2. Let v be n/(18/(-4)) + 29/9. Solve 19 = v*y + w for y.
5
Suppose 11*b = 12*b + 4, 5*b = -5*z + 135. Solve -10 = 26*s - z*s for s.
2
Let h be (-9 + -1)*(5 + (-91)/14). Suppose c + 7 = h. Solve g = -c + 13 for g.
5
Suppose 297 = 2*t + t - 2*w, 2*w - 479 = -5*t. Let o = t - 94. Suppose -3*r = -3*j + o, -3*r + 4 = 4*j - 14. Solve -j = -h - 0 for h.
3
Suppose -5363 - 3789 = -73*q - 903. Solve -q*j + 48*j = 585 for j.
-9
Suppose -20*j + 25*j = -5. Let y be -1 + (-1 + 2)/(j/(-7)). Solve -y = 3*t - 15 for t.
3
Suppose -4*t = -3*x - 187, -2*x = -62 + 72. Solve -36*v = 7 - t for v.
1
Let a(p) = p**2 + 19*p - 73. Let m be a(-23). Suppose -5 = m*y - 20*y. Suppose 5*s - 30 = -y*c, 2*s + 7*c + 9 = 12*c. Solve 0 = s*o + 2*o + 20 for o.
-4
Suppose -x + 40 = x + 4*s, -4*x + 100 = -2*s. Solve -53*n + 47*n = -x for n.
4
Let g = 1104 - 1101. Solve 3*f - f = g*f for f.
0
Suppose -18*n - 6567 = 3585. Let v = 574 + n. Solve -v - 15 = -5*u for u.
5
Let u be (4 - -1)/(((-48)/68)/12). Let p = 99 + -190. Let j = u - p. Solve 2*r = -j - 0 for r.
-3
Let b be -3 - ((-387)/(-903) - (-108)/(-7)). Solve 0 = -8*v + b*v for v.
0
Let i(h) = h**3 + 10*h**2 - 17*h - 4. Let u be i(-9). Suppose -9*q - u = -1004. Let k = 89 - q. Solve -k*f = -8*f for f.
0
Let r = -32 - -32. Suppose -2*q + 3*h + 35 = 3*q, -2*q + 2*h + 18 = r. Suppose -q*n = -5*b + 3, 5*b + 6 = 21. Solve 5*y + 7 = -n for y.
-2
Let h be (24/(-1))/3 + (-1122)/(-51). Solve -7*t + h*t = -35 for t.
-5
Let n be (-32)/20 + 10062/195. Solve 0 = 57*x - n*x for x.
0
Let m(l) = -l**3 + 12*l**2 - 33*l - 14. Let c be m(7). Solve c = 40*s - 34 + 74 for s.
-1
Suppose 17*l - 88 = 28*l. Let o(p) = p**2 + 29*p + 168. Let y be o(l). Solve y = 9*q - 6*q - 3 for q.
1
Let u(j) = -276*j - 2321. Let v be u(-14). Solve -v*k - 18 = -1546*k for k.
6
Suppose 4*v = 5*w - 8, -2*v + 29 = -5*w + 43. Suppose 20 = 10*x - 6*x, -3*x = w*y - 87. Solve -y*l - 30 = -24*l for l.
5
Let a be (592/(-518))/(((-4)/(-10))/(35/(-25))). Solve -a*u = -8*u - 4 for u.
-1
Let x(y) = -y**3 - 34*y + 6. Let z be x(0). Solve 261 = z*c + 237 for c.
4
Let k be (-5 + (-9)/(-2))/(3 - 13/4). Let g(m) = -m + 2. Let c be g(4). Let d = c + 7. Solve 3*i + k*i = -d for i.
-1
Let l(w) = 2*w + 2. Let d be l(-4). Let h be -3 - d - 0/3. Suppose -x + h*x = 8. Solve -t - 12 = -x*t for t.
4
Let s(y) = 5*y**2 - 111*y + 54. Let b(m) = -26*m**2 + 554*m - 270. Let f(p) = -2*b(p) - 11*s(p). Let r be f(37). Solve 20 - r = -k for k.
0
Let m(g) = g**2 - g - 15. Let a be m(0). Let h(b) = b + 9. Let y be h(a). Let j = y + 8. Solve 0 = f - j*f for f.
0
Let o(p) = p**3 - 18*p**2 - 20*p - 16. Let y be o(19). Let u(r) = 4*r + 22. Let k be u(4). Let t = y + k. Solve -3*w + 0*w = -t for w.
1
Suppose -3*r - 6 = 0, 43*r - 48*r - 139 = -3*s. Solve s*u + 132 = 10*u for u.
-4
Suppose 0 = r + 4*r + 70. Let k = -12 - r. Suppose 0*c = -c, -k*h - 4*c + 10 = 0. Solve -h*x = -x + 8 for x.
-2
Suppose -4*n + 2*c = -5541 - 331, 0 = n + 3*c - 1475. Let j = -1465 + n. Let f(x) = -2*x + 3. Let u be f(-6). Solve -u - 5 = j*d for d.
-5
Suppose 17 = -17*u + 51. Suppose -3*n - 4*q + 4 = -n, -2*n + 2*q - u = 0. Solve 0 = 7*v - n*v - 35 for v.
5
Let x = 642 - 365. Let j = -235 + x. Solve 0 = 3*o + j - 30 for o.
-4
Let v be -37 - -14 - (-1)/(-1). Let m be 1*(0 - v)/3. Let n(s) = s**3 - 7*s**2 - s + 10. Let p be n(7). Solve -m = -p*d - d for d.
2
Let f(k) = -k**2 + 11*k - 2. Let m be f(6). Let a be -5 + (4 - -6) - 2. Suppose -a*c = 4*c - m. Solve 16 = 3*b + c for b.
4
Suppose 4*q + 177 = 21. Let z = -39 - q. Suppose z = -2*y + 6*y - 4*f - 12, 0 = y + 4*f + 12. Solve y = -d - d for d.
0
Let d = 70 + -24. Suppose 503 = 9*u - d. Let o = u + -51. Solve -k + 6*k - o = 0 for k.
2
Let j = -32 + 35. Suppose 0*v = -5*v - 5*d + 20, 0 = 4*v + j*d - 14. Let y be -1 + 3/((-3)/v) + 5. Solve -y*m + m = 0 for m.
0
Suppose -5*o + 3 = a, -2*a = 3*o - 1 - 5. Suppose 4*b + 6 = a*b. Let i be (4/b)/((-32)/144). Solve 2*l = -l + i for l.
1
Let c(m) = 55 + 43 - 23*m - 50. Let i be c(2). Solve 0 = 3*k + i*k - 20 for k.
4
Let w be 4/(-14) + 79/7. Solve -7*m - 31 = w for m.
-6
Let t be 2/(-9) - 18/(-81) - 0. Suppose t*h - 23 = -4*x + h, 5*x + 3*h = 33. Solve 8*f = x*f for f.
0
Let y = 184 + -65. Let l(o) = -68*o - 1785. Let z be l(-28). Let v = y - z. Solve v = -4*n + 2*n + 4 for n.
2
Suppose 26*b - 1439 = 17. Solve -41 = b*s - 209 for s.
3
Let n = 2077 + -2077. Solve n = 2*s + s + 3 for s.
-1
Let r = -9510 - -9679. Solve r = 7*f + 134 for f.
5
Let g(r) = 11*r - 39. Let n be g(3). Let h(f) = f**3 + 7*f**2 + 6*f + 7. Let q be h(n). Suppose -i + q*i - 6 = 0. Solve -u - i = -2*u for u.
1
Let c(g) = 54*g - 103. Let b be c(13). Let a = 599 - b. Solve 0*v + 2*v - 6 = a for v.
3
Suppose 0 = 3*a - 4*c - 24, 2*c = -2*c. Let t be (-9 + 13)/(4/78). Suppose -2*u + 63 = -5*l + t, 0 = 2*u + 3*l - 9. Solve a = 2*r - u for r.
4
Let m = -3793 + 6078. Solve 2289*j - m*j = 0 for j.
0
Let f = 105 + -32. Let h = f + -73. Solve o + 0*o = h for o.
0
Let r = -2 + 5. Let f be ((-1)/r)/((-3)/234). Let u = -23 + f. Solve 0 = u*c + 2*c + 10 for c.
-2
Suppose 503 = 138*n - 35*n - 733. Solve -33*y + n*y = 0 for y.
0
Let m(u) = -u - 1. Let h(j) = 8*j + 3. Let d(p) = -2*h(p) - 18*m(p). Let l be d(-5). Solve -c - l = c for c.
-1
Suppose 2*s - 113*n + 111*n = 190, -178 = -2*s + 5*n. Solve -s = -x - 32*x for x.
3
Let h be 48/(-3)*(-52)/16. Suppose 11*r + h = 24*r. Solve -r*j + 7*j - 3 = 0 for j.
1
Suppose 0 = -18*t + 16*t + 644. Let m = t + -318. Solve -m*k = -5*k + 1 for k.
1
Let p = 2969 - 2943. Solve 0 = 24*z + p + 142 for z.
-7
Let s = -34 - -34. Suppose s*r + 24 = 4*n + r, -2*n - 5*r = -12. Suppose 0 = -4*l, 32*p - 37*p = 4*l. Solve p = n*y - 2*y + 8 for y.
-2
Suppose -5*o + 52 = -48. Let g(z) = z**2 + 13*z + 20. Let j be g(-9). Let y = o + j. Solve -y*r + 10 = -2*r for r.
5
Suppose 4*y - 38053 = -37989. Solve -58 = y*u - 138 for u.
5
Let z(k) = k**2 - 7*k - 16. Let o be z(9). Suppose o*x = j + 13, -41 + 2 = -5*x - 4*j. Solve x*m + 2 = 5*m for m.
-1
Suppose -r = -5*m - 428, 2*m + 235 - 65 = r. Let t = m - -98. Suppose t*n = -3*n + 45. Solve n*f + 2*f - 5 = 0 for f.
1
Suppose 165 = 71*j - 27*j - 55. Suppose m = -30 + 10. Let x be ((-24)/m)/(2/20). Solve x = -j*z + z for z.
-3
Suppose 5*t = -p - 17, 9 = p + 2*p + 3*t. Let k = 14 - p. Let w(z) = -z**2 + 5*z + 6. Let r be w(k). Solve 0 = b - r + 1 for b.
-1
Let z = 315230 + -315229. Suppose -2*r - 5 = -3*h, -4*h + 12 = 2*r - 4. Solve -z + h = -x for x.
-2
Let w(v) = v**3 + 7*v**2 - 8*v + 4. Let j(s) = s**3 + 3*s**2 + 3*s + 8. Let p be j(-4). Let m be -3*p/(-12) + -3. Let y be w(m). Solve -i = y*i - 25 for i.
5
Let i(j) = -21*j + 4. Let b be i(4). Let q(z) = z**3 + 11*z**2 + 2*z + 28. Let n be q(-11). Let s be ((b/n)/2)/((-24)/36). Solve 0 = 3*x - s + 1 for x.
3
Suppose f - 4262 = -19*m + 22*m, 12722 = 3*f - m. Solve -4198 = 8*p - f for p.
5
Let r be 138/54 + -3 + 26/18. Let i(f) = 2*f + 6. Let c be i(r). Solve -x + c = 4 for x.
4
Suppose -4*f - 332 + 1700 = 4*h, 0 = 5*f - 4*h - 1665. Let v = f + -334. Solve -v*g + 19 = 4 for g.
5
Let k = -122 + 51. Let y = k - -42. Let c = 32 + y. Solve 1 + c = 4*f for f.
1
Let h(j) = 35*j**2 + 34*j**2 - 70*j**2 + 3*j - 3 + 7. Let v be h(4). Let i = 64 + -62. Solve 2*x = -v*x - i for x.
-1
Suppose 1220 = 7999*w - 7997*w. Solve -w*h - 52 = -597*h for h.
-4
Suppose 6*g = -0*g + 12. Suppose -2*f + 17 = -7*m +
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*u + 5 - 19 + 4*u + 4*u. Let n be p(-11). Let b = n - -1635. Is b prime?
False
Suppose 14*g + 185921 = 18*g - 3*l, 3*g - 4*l = 139439. Is g prime?
False
Suppose -128*k + 18602472 = -104*k. Is k a prime number?
False
Is (12/32)/(97/103275512) composite?
True
Suppose -4*l + 97340 = -4*v + 8*v, -97343 = -4*l - 5*v. Let y = l + -17333. Is y composite?
True
Suppose 3*z + 27079 = 2*h, 5*h - 67660 = -4*z - z. Is h a prime number?
False
Let v(o) = -o**3 - 5*o**2 - o + 5. Let c be v(-4). Let m(t) = -t**2 - 5*t + 13. Let x be m(c). Is 611 - (x - 1/(-1))/2 prime?
False
Let b(z) = -z**3 + 3*z**2 + z + 1. Let m be b(3). Suppose q - 13*v + 17*v = 5019, m*q - 4*v - 20116 = 0. Is q a composite number?
True
Let k = -115624 + 220229. Is k a prime number?
False
Let m(y) be the second derivative of -y**5/2 + 4*y**4/3 + y**3/6 - 7*y**2/2 - 3*y. Suppose 0*t = -57*t - 342. Is m(t) prime?
False
Suppose -2*x - 2362 = 2*l, -5*l + 3881 - 314 = -3*x. Let n = 588 + x. Let u = n - -2749. Is u a composite number?
False
Let h = 0 + 65. Let g = h + -62. Suppose -5*r - 5*m = -17755, -3*m - 10633 = -g*r - m. Is r a composite number?
False
Let i(b) = -7193*b + 926. Let z(w) = 2398*w - 309. Let h(g) = 2*i(g) + 7*z(g). Is h(25) a composite number?
True
Suppose 3*d = 3*f - 677805, -17*f + 7*d - 903806 = -21*f. Is f a prime number?
True
Is (2 - 679650/(-14))/(303/2121) a prime number?
True
Let t(b) = 4*b - 107. Let y be t(27). Is 4071/138*((360 - -1) + y) a composite number?
True
Let z(a) = a**3 - a**2 + a + 15. Let f be z(0). Is (45 + 10)*789/f a prime number?
False
Suppose 27*g = 31*g - 1860. Let u = 6 - 1. Suppose -5*n + g = -u. Is n a prime number?
False
Let g(q) = 2228*q - 17 + 27 + 70 + 73 + 1428*q. Is g(13) a composite number?
False
Suppose -3*s = -5*q - 29, 3*q = 3*s + 15 - 42. Suppose -s*y + y = -56. Suppose 0 = 2*r - y*r + 6042. Is r prime?
False
Suppose k - 5*k = -5*i - 25, -3*i = -4*k + 15. Is 6 - (k + -6942) - 7 composite?
True
Suppose -5*r = -l - 160538, 4*r - 124359 = -4*l + 4057. Is r a prime number?
False
Let b = 308654 - 181623. Is b composite?
False
Is (3/9)/((25/(-454395))/(-5)) composite?
False
Let p(d) = -d**3 + d**2 - d - 1. Let a be p(-1). Let h be 1080/(-570) + 4/(-38). Is -2399*(a - h - 9) a prime number?
False
Suppose 49*k - 146768 = 33*k. Is k composite?
False
Suppose 0 = 12*g - g - g - 1489870. Is g a composite number?
True
Let j = 22785 + -12462. Suppose 7*v = j + 11426. Is v prime?
False
Let s = 944 - -23555. Is s prime?
True
Let d(o) = -3*o + 4*o**2 + 161 - 315 + 156 - 2*o**3. Let t be d(2). Is 209 - (8/t + 0) composite?
False
Let u(l) = 375*l**3 + l**2 + 11*l - 27. Is u(2) a composite number?
False
Let k(s) = -s + 29. Let v be k(21). Let b be 9/(-4)*v/(-6). Is (1 - 4/b)/((-27)/123363) prime?
True
Let t(j) = 4*j**3 + 13*j**2 - 17*j - 9. Suppose -2*w = 2*w - y - 4, -4*y + 22 = 3*w. Let n(k) = k**2 - k + 1. Let i(u) = w*n(u) - t(u). Is i(-9) prime?
True
Suppose 511*x + 510 = 513*x. Let y = x - -1522. Is y a composite number?
False
Let o(m) = 60*m**2 + 7*m + 8. Let x(f) = -f**3 - 7*f**2 + f + 11. Let z be x(-7). Suppose -4 - 1 = s - 2*v, 0 = z*s - 2*v + 14. Is o(s) composite?
True
Let l(h) = 633842*h - 675. Is l(2) a composite number?
False
Suppose 2*f - 155076 = -r, 40*f + 4*r + 232603 = 43*f. Is f composite?
True
Let n = 379 - -6691. Let r = n - 4053. Is r composite?
True
Let s be (-45)/6*8*(-257)/10. Let a = s - -2827. Is a prime?
False
Let j = -55 + 55. Suppose j = t - 163 - 25. Let v = t + -130. Is v composite?
True
Is -63241*(4/8)/(27/(-54)) a prime number?
True
Suppose -835388 + 9499510 = 106*j. Is j composite?
False
Let i(y) = y**3 - 20*y**2 + 48*y + 137. Is i(40) composite?
False
Let n(m) = -3 + 8 - m - 29*m. Let i be n(-3). Let r = i - -92. Is r prime?
False
Suppose -2*r - 5*t = -337347, -5*r + 5*t = 207804 - 1051294. Is r a prime number?
False
Let c(b) = 87613*b**2 - 37*b - 37. Is c(-1) composite?
False
Suppose -21*h - 4*z - 20796 = -24*h, -h + 6931 = -z. Suppose -n - y + 1919 = 188, -h = -4*n - 2*y. Is n composite?
False
Let b = 1 + 2. Suppose 0 = 5*n + x + 2*x - 3, 3*x = 4*n - 24. Suppose 1713 = n*y + b*m + 2*m, -4*m + 2284 = 4*y. Is y prime?
True
Let x(h) = 3545*h + 131. Let b be x(-22). Let o = -55612 - b. Is o a prime number?
True
Suppose -411*a + 13648131 = -204*a. Is a a prime number?
False
Suppose -2*m = 10*m - 1256292. Is m a prime number?
False
Let q(b) be the first derivative of 1399*b**2/2 + 95*b + 59. Is q(6) composite?
True
Let n(p) = -10*p**3 - 16*p**2 + 36*p + 13. Let f(i) = 22*i**3 + 34*i**2 - 72*i - 27. Let t(s) = 6*f(s) + 13*n(s). Is t(16) a composite number?
True
Let o(f) = 128*f + 53. Let y be o(9). Is (0 + y - -4) + 4 prime?
True
Let j(z) be the second derivative of 0 + 14*z - 1/2*z**2 + 1519/6*z**3. Is j(2) a composite number?
False
Let h(t) = 16*t**2 - 36*t - 69. Is h(17) a composite number?
False
Let k = 14173 - 4022. Is k composite?
False
Let g be 0/(0 - 0 - -1). Suppose 7*o - 9229 - 3336 = g. Is o composite?
True
Suppose -115*x = -4*t - 117*x + 370916, 370908 = 4*t + 4*x. Is t a composite number?
True
Suppose 3*g - 20 = 2*n, 2*g + 7*n = 3*n + 8. Let l(d) be the third derivative of 9*d**4/8 - 17*d**3/6 + 2*d**2 + 5. Is l(g) a composite number?
True
Let c = -13 - -13. Suppose c*z = z - 7554. Is ((-8)/12)/((-4)/z) a prime number?
True
Let g(b) = -17 - 26*b + 7*b + 7*b + 10*b. Let f be g(-6). Let p(y) = -2*y**3 - 4*y**2 - 7*y. Is p(f) a prime number?
False
Let z be 0/15 + 1 + -1. Suppose -k = z, 880 = 5*i + k - 1630. Let v = i - 209. Is v composite?
False
Let t(l) = 10142*l - 6207. Is t(13) a prime number?
True
Let g be (((-180)/(-8))/9)/((-1)/(-214)). Let n = g + -380. Is n composite?
True
Let z be (0 - 9)/(-27) - (-4312)/(-3). Let v = -3170 - z. Is -3 - (v + -4 + -1) a prime number?
False
Let v = 36465 - 16112. Is v prime?
True
Suppose -2*h + 1484 = -500. Let z = h + -382. Suppose z = 120*y - 118*y. Is y a prime number?
False
Let l(t) = -t**2 - 8*t - 8. Let j be l(-6). Suppose 3*r + r - 3*m = -12, 0 = 5*r - 3*m + 15. Is 3 - (2928/j)/r composite?
True
Suppose -4*m - 6 = 4*f - 9*f, -1 = -m. Suppose -a = -f*a + 484. Suppose -a = -7*s + 678. Is s a composite number?
True
Suppose -5*y = -5*t - 11000, 2*t + 5 = -3*t. Suppose -5*b + 4*u + 7032 = -y, -4*b = -3*u - 7385. Is b a composite number?
False
Let l(u) = -u**3 + 145*u**2 + 52*u + 117. Is l(109) prime?
True
Suppose 1 = -n - d - 4, 2*d + 4 = 0. Let c(m) = -m**2 - 2*m + 6. Let v be c(n). Is (-1)/(544/(-1623) - v/(-9)) composite?
False
Let s be (8/3)/((-2)/(-3)). Suppose 5*x = 20, 8*x = s*z + 7*x - 7924. Is z prime?
False
Let s be 2167*(6 - (10 - 5)). Let f = s + 54. Is f a composite number?
False
Let h(f) = 4*f**2 + f - 2. Let r be h(3). Let y = 40 - r. Suppose -v + y = -11. Is v a prime number?
False
Suppose 3*k - 4*w - 572715 = 0, 2*k = 6*w - 10*w + 381770. Is k a prime number?
False
Suppose 5*f + 4*q = 5958, 5*q + 2370 = 3*f - f. Suppose 5*v + 4156 = -4*b, -f = 2*b - 4*v + 862. Let j = b - -1597. Is j a composite number?
False
Let d(y) = 152*y**2 - 5*y + 331*y**2 - 446*y**2 + 281*y**2 + 60. Is d(5) prime?
False
Let x(k) be the third derivative of k**7/2520 - k**6/90 - k**5/120 + 5*k**4/24 + 10*k**2. Let s(m) be the second derivative of x(m). Is s(12) a prime number?
True
Let c(o) = 5*o + 7. Let w = -34 + 32. Let h be c(w). Is 158/h*-3*1 prime?
False
Let w = 316534 + -26217. Is w a prime number?
True
Let i be 3990/14*64/6. Let r = i - 478. Let a = r + -1775. Is a a prime number?
True
Let y = -19 + 22. Suppose 2*k - 3392 = -c - 0*c, y*k - c = 5088. Suppose k = 7*h - 1587. Is h composite?
True
Suppose -4*g = 1587 - 17215. Suppose -3*l = -9, -g = -2*m - 3*m - 4*l. Is m a prime number?
False
Suppose -d + i = -605419, -291*i + 295*i = 3*d - 1816254. Is d prime?
False
Let d = 556 - -838. Suppose -4*h = 3*u - 2091, -2*h = -0*u + 2*u - d. Is u a composite number?
True
Let w be 74/(-185) - 4484/(-10). Let x = -1768 - w. Let z = 4749 + x. Is z a composite number?
True
Suppose -3490642 - 10769263 = -55*w. Is w a prime number?
True
Suppose 74*t - 77*t + h = -7506, -5*t + 5*h + 12500 = 0. Is t prime?
True
Let u(h) = -2*h**3 + 75*h**2 + 33*h + 13. Let m be (16/6 - -1)*9. Is u(m) a prime number?
True
Let q be ((-16)/10)/((-2)/30). Suppose 22*d = q*d + 2. Is d - 2 - 1 - -1737 a
|
{
"pile_set_name": "DM Mathematics"
}
|
36*d + 222 = -318. Calculate the greatest common divisor of d and 195.
15
Let k = -279 - -348. Let q(n) = -3*n + 5. Let w be q(-4). Suppose 2*j - w = j - r, -3*r = -3*j + k. Calculate the greatest common divisor of j and 10.
10
Suppose 4*i + 504 = 7*i. Let q = 26 + -17. Suppose -208 + 19 = -q*a. Calculate the highest common divisor of i and a.
21
Let w = -78 + 113. Let b = 9 + 26. Calculate the greatest common divisor of w and b.
35
Let i(h) = -2*h + 18. Let y be i(7). Let v be (11 - (6 - y)) + 2. What is the greatest common divisor of 88 and v?
11
Suppose 59 = 2*a - 5*q + 10, 2*q + 25 = a. Suppose 0 = -7*b + 111 - a. Calculate the highest common factor of 12 and b.
12
Let k(i) = -4*i + 6 + 67*i**2 - 5 - 58*i**2. Let s be k(6). What is the greatest common divisor of s and 43?
43
Suppose 64 = 4*s - 0*f - f, 72 = 4*s - 3*f. Suppose 4*v = -4*b - 80, 39 = -2*v - b - 6. Let g = s - v. Calculate the highest common factor of g and 5.
5
Suppose 4*k + 2*z = 2376, -18*k + 2970 = -13*k - 5*z. What is the greatest common divisor of 54 and k?
54
Let k be (-4 - -5)/(1/26). Suppose r = 4*n - 38, k = -3*n + 5*r + 63. Let q be -1 + 9/(n/10). What is the greatest common divisor of q and 63?
9
Let f be (-6030)/(-268)*(4/3 - 0). What is the greatest common factor of f and 18?
6
Let w(r) = -r**3 + 1. Let y be w(0). Calculate the highest common factor of 13 and y.
1
Suppose -9 - 5 = -g. Suppose -162 = -26*a - 55*a. What is the greatest common divisor of a and g?
2
Let o be 32 + (-121)/(-11)*-1. Suppose 5*x - 213 = -3. What is the highest common divisor of x and o?
21
Let i be (0 - (-509 + 2)) + -3. What is the greatest common divisor of i and 112?
56
Let a = 22 + -20. Let g = -23 + 28. Suppose 0*j - 19 = -a*j - 3*k, -4*j = g*k - 37. Calculate the greatest common factor of j and 24.
8
Suppose 5*x - 52 = 13. Suppose -k = -0 - x. What is the highest common factor of 26 and k?
13
Let b = -722 - -1370. What is the greatest common factor of 72 and b?
72
Let f be 114/42 + 4/14. Suppose 0 = 3*l + 2*n - 4, l - 5*n = 2*l + f. Calculate the greatest common divisor of 2 and l.
2
Let x = -29 - -33. Let o be (-27 + x)*(-2 + (-2)/(-2)). Calculate the greatest common factor of 92 and o.
23
Let a(p) = p**3 + 6*p**2. Let q be a(-3). Let w = -25 + 30. Let k(b) = b + 22. Let x be k(w). Calculate the greatest common factor of q and x.
27
Suppose 3*s - 360 = -2*p, 6*s + 2*s - p - 960 = 0. Let g(h) = -20*h. Let j be g(-2). What is the greatest common divisor of s and j?
40
Let v be (-2)/8 - (-2)/8. Let h be -2 + v/(-1) + 13. Calculate the highest common factor of h and 77.
11
Let r = -39 + 59. Let k be (-10)/8*(1 - -11). Let f = r + k. What is the greatest common divisor of 10 and f?
5
Let y = -936 + 1086. What is the greatest common divisor of 550 and y?
50
Suppose i + i - 10 = 0. Let b(s) = -19*s - 3. Let o be b(1). Let d = o - -57. Calculate the highest common factor of d and i.
5
Suppose -2*g = -23 - 11. Let o = 75 + -69. Suppose 46 = -o*i + 1168. Calculate the greatest common factor of g and i.
17
Let z = -2638 - -2742. Calculate the highest common factor of 1404 and z.
52
Let x be (6 - 189/(-14))*2. Calculate the greatest common divisor of 65 and x.
13
Let x = 5 + 31. Let p(s) = -s**2 + 108. Let z be p(0). Calculate the highest common factor of x and z.
36
Suppose -2*p = 4*f - 62, -p + 3 = -f - 40. Calculate the greatest common factor of 104 and p.
13
Let l(g) = 6*g - 11. Let b be l(5). Suppose b = 3*z - 44. Suppose -u = -z + 5. What is the highest common factor of 24 and u?
8
Suppose 13 + 17 = 3*w. Let n = -92 + 202. Calculate the greatest common divisor of n and w.
10
Suppose 0 = -2*c - 3*z + 45, 138 = 5*c - z - 0. Let i be c/3 + 6 + -5. What is the greatest common divisor of i and 30?
10
Suppose 219 = -7*c - 26. Let q = 51 + c. Calculate the greatest common factor of 48 and q.
16
Suppose 5*s + 3*m = 267, -2*s - 3*m + 32 = -73. Calculate the highest common factor of 189 and s.
27
Let f(w) = 20*w - 2. Let l be f(3). Let z = l + -37. Let m be (-4)/14 + 8246/49. What is the greatest common factor of z and m?
21
Suppose 0 = -76*n + 72*n - 4, -397 = -2*v - 3*n. What is the greatest common factor of 80 and v?
40
Let d = 1415 + -530. Calculate the greatest common factor of 15 and d.
15
Let o(u) = -3*u - 6. Let d be o(-10). Suppose 3*c - k - 29 = 7, -48 = -4*c - 5*k. Calculate the greatest common factor of d and c.
12
Let z = 237 + -162. Let w be 44/(3/(z/10)). What is the highest common divisor of 10 and w?
10
Let w be 6 + 3/((-6)/(-32)). What is the highest common factor of w and 2?
2
Let g(u) = -u - 10. Let f be g(-16). Suppose -5*d + h = -68, -d + f = -5*h + 2. What is the greatest common divisor of 35 and d?
7
Let k(w) = 246*w + 1024. Let p be k(-4). Suppose -f + a + 10 = 0, 0 = -f + 4*f + 3*a. Let o be f/((2 + -1)/1). What is the highest common divisor of p and o?
5
Let k = -55 - -31. Let g = 27 + k. Suppose 15 = 5*v - h, 4*v = 3*v + 2*h + g. What is the greatest common factor of 1 and v?
1
Let x = 197 + -120. Suppose 0*l + x = 7*l. Suppose 0 = 2*o - 4*i - 240, 0 = -2*o + i + l + 235. What is the greatest common factor of o and 31?
31
Let d(g) = -g**3 - 10*g**2 - 36*g - 12. Let z be d(-7). Calculate the greatest common divisor of z and 837.
93
Let i = 423 + -43. Calculate the greatest common divisor of i and 80.
20
Suppose 98 = -5*n + 473. Suppose -n = -2*r - r. Calculate the greatest common divisor of r and 50.
25
Let h(d) = -d**3 + 10*d**2 + d + 4. Let f be h(10). Let t be -1*((-20)/4 - 9). What is the highest common divisor of f and t?
14
Let w = -9 + 12. Suppose 2*h - 30 = -5*v, -5*h = -w*h + v - 14. Suppose -a = a - 5*y - 17, 2*a + h*y = 27. Calculate the highest common divisor of 11 and a.
11
Suppose -203 + 73 = -13*b. What is the greatest common divisor of b and 110?
10
Suppose 5*a = -5*r - 1190, 4*r + 201 + 746 = -5*a. Let c = r + 433. Calculate the greatest common divisor of 19 and c.
19
Suppose 0 = -3*x + x + 4. Suppose -2*u + 32 = l, 0 = 3*l + x*u - 6*u - 86. Calculate the highest common divisor of l and 12.
6
Let o = -1283 + 887. Let r be o/(-42) - (16/14)/(-2). What is the greatest common factor of r and 15?
5
Suppose h + 3*q = 0, 3*q = h - 2*q + 24. Let p(r) = r**2 + 9*r + 13. Let y be p(h). Calculate the greatest common factor of y and 208.
13
Let d(y) = -y**3 - 5*y**2 - 4*y + 19. Let c be d(-6). Let q = 81 - c. What is the greatest common divisor of q and 22?
2
Let z = -80 - -155. Suppose -3*h - z = -5*b, -6*h + 2*h = 0. Suppose 3*l + 6 = 4*l. Calculate the highest common factor of l and b.
3
Let w = 322 + -309. Let s = -40 + 248. Calculate the greatest common factor of s and w.
13
Let d be 6/((12/(-99))/(-2)). Let i be 9 + (-4 + 20)/(-4). Let y = 16 - i. Calculate the highest common divisor of d and y.
11
Let x(k) = 64*k**2 - 31*k**2 - 31*k**2 - 7*k + 23. Let c be x(10). Calculate the highest common divisor of c and 17.
17
Let j be 10 + (-162)/(-10)*5. Let a be 1 + 9 + (-15)/(-5). Calculate the greatest common divisor of a and j.
13
Suppose -14*z = 8*z - 2970. Calculate the greatest common factor of 162 and z.
27
Let n be ((-37)/(-74) - (-1)/2)*181. Calculate the highest common divisor of n and 1.
1
Suppose 45*d - 5*d - 5280 = 0. Calculate the greatest common factor of d and 99.
33
Let b(s) = -30*s - 204. Let f be b(-7). Suppose -u + 5 + 4 = 0. What is the greatest common divisor of f and u?
3
Suppose 0 = 8*i + 28 - 100. Suppose -2*n + 64 = -104. Suppose 0 = -3*s + 3*r + n, s = 4*s + r - 80. Calculate the greatest common factor of i and s.
9
Let x be -2*(-3)/(-6)*-5. Let h be (-2)/(x/(1310/4)). Let b = -67 - h. Calculate the greatest common divisor of 16 and b.
16
Suppose -3*s - 20 + 116 = -2*g, 0 = -g. Calculate the highest common factor of 128 and s.
32
Suppose 75*u - 2742 + 417 = 0. Calculate the highest common factor of u and 155.
31
Suppose -2*l - 3*v = -52, 6*v - 31 = -l + 7*v. Calculate the greatest common factor of l and 522.
29
Let s(c) = -c - 17. Let l be s(-21). Suppose 0*o - l*o + 1728 = 0. What is the greatest common divisor of 48 and o?
48
Let s be (-26 + 8)*(-7)/(21/2). Calculate the greatest common divisor of s and 36.
12
Let g be ((-12)/8)/((-6)/44). Suppose -7*x + 53 = g. Calculate the greatest common divisor of 30 and x.
6
Suppose -5*m + 5*i
|
{
"pile_set_name": "DM Mathematics"
}
|
u = -4694 + 7151. Does 7 divide u?
True
Let y(i) = 19*i + 32. Let r be y(8). Does 54 divide (-1 + 0)/((r/864)/(-23))?
True
Let t be (-32)/24*6/4. Let d(c) = -3*c + 14. Let q be d(t). Suppose -q = 7*h - 1553. Is 40 a factor of h?
False
Suppose 196 = 4*p + 908. Let y = 43 - p. Is 9 a factor of y?
False
Suppose -55 = 9*v - 14*v. Let x(o) = 14 + 0*o + 3*o + v - 2*o. Is 19 a factor of x(-6)?
True
Suppose -g + 11*h = 15*h + 1614, g = -3*h - 1610. Let z = g - -2486. Is z a multiple of 8?
True
Let d(y) = y**3 + 11*y**2 + 27. Suppose 0*a - 128 = 16*a. Is 7 a factor of d(a)?
False
Suppose 3*n - 3*m + 130829 = 7*n, -6*n + 196251 = -3*m. Is 148 a factor of n?
True
Let z be 3*(-2)/(-3) - (-2)/2. Suppose -19 + 70 = z*b. Let x(y) = 9*y - 43. Is 10 a factor of x(b)?
True
Let c = 500 - 497. Suppose c*i + 68 - 962 = 0. Does 16 divide i?
False
Let t be (-6)/3*2 - -7. Suppose 15*f - 4212 = -t*f. Is 9 a factor of f?
True
Let n(m) = m**2 + 4*m - 92. Suppose 0 = -w - 15*w. Let y be n(w). Let r = -57 - y. Is r a multiple of 7?
True
Let v(z) = z**2 + 12*z + 519. Is v(0) a multiple of 4?
False
Let i = 12980 - 5779. Does 35 divide i?
False
Let x(k) = -k**3 + 20*k**2 - 13*k + 40. Suppose -v = -2*r - 13, 0 = -v + 5*v - 2*r - 70. Is x(v) a multiple of 14?
True
Is -1*(32279/(-4) - (-24)/32) a multiple of 11?
False
Suppose -5*u + 666 = -14*u. Let l = 169 + u. Does 5 divide l?
True
Let b = -683 - -1187. Suppose 5*p - 1406 - b = 0. Is p a multiple of 25?
False
Let k = -6577 + 12161. Does 30 divide k?
False
Let m(u) = 495*u**2 + 3*u - 35. Does 9 divide m(-5)?
False
Let u(o) = 4*o**2 + 7*o - 13. Let r = 31 - 33. Let x be (-21)/5 - 6 - r/10. Is 63 a factor of u(x)?
False
Let p(d) = -d**3 - 27*d**2 - 20*d - 87. Is p(-34) a multiple of 15?
True
Suppose -2*v + 18 = v - 3*x, 0 = -5*v + x + 34. Let i(f) = 0*f + 24*f + v + 7*f. Is 33 a factor of i(8)?
False
Is 38 a factor of (-4)/(-5) + ((-5325984)/30)/(-24)?
False
Let w = -36 + 31. Let f = w + 0. Let h = f - -54. Is 16 a factor of h?
False
Suppose -2*v = 9*v - 308. Does 22 divide -1 - v*(-2 + -6)?
False
Let o = -100 - -93. Is 16 a factor of (45/(-30))/(((-21)/(-542))/o)?
False
Suppose 5*o + 3*k - 156 = -401, -o = -k + 49. Let g = 52 + o. Suppose g*w + 2*w = 2*u + 839, 5*w + u - 848 = 0. Is w a multiple of 40?
False
Let j = -5 + -5. Let p be ((-8)/j)/((-26)/(-65)). Suppose -3*n - 5*w + 432 = 0, -n - p*w - 40 + 184 = 0. Is 18 a factor of n?
True
Let p = -2850 + 5202. Is 14 a factor of p?
True
Let o(y) = -2*y + 26. Let h be (0/(-4))/(3*-1) - -11. Let w be o(h). Suppose 4*j = -a - 2*a + 592, 0 = -w*a - 5*j + 788. Is 9 a factor of a?
False
Let x = -4035 - -2867. Let j = 20 - x. Is 66 a factor of j?
True
Suppose 4*i + 3*r = 5*i + 10, 2*i - 5*r = -15. Let f(w) = w**3 - 4*w**2 - 3*w - 11. Let h be f(i). Is 1 + (h/4 - 865/(-20)) a multiple of 11?
True
Let z(s) = 50*s + 5. Let m(a) = -a**2 - 21*a + 2. Let w = -36 + 15. Let y be m(w). Is z(y) a multiple of 21?
True
Is 115 a factor of -10*((-2217)/6 + -6 + 6)?
False
Let s(u) = -u**3 - 5*u**2 - 6*u + 20. Let h be (((-60)/(-18))/(-1))/((-1)/(-3)). Is 13 a factor of s(h)?
False
Let p(y) = y**3 + 28*y**2 + 100*y + 75. Is p(-8) a multiple of 46?
False
Let i = -9480 - -9581. Let k be 2*-1 + 7*-7. Let p = i + k. Is 10 a factor of p?
True
Let s(z) = 2*z**3 + 7*z**2 + 2*z + 12. Let p be s(-5). Let o = 123 + p. Let w = 96 - o. Does 4 divide w?
False
Let d be -1*14/4*-70. Suppose 244*s = d*s - 185. Is 5 a factor of s?
True
Let r be 573/5 - 2/(-5). Let s = -73 + r. Does 7 divide s?
True
Is 2/((4 - (-19)/(-5))*(-5)/(-926)) a multiple of 6?
False
Suppose 0 = -4*n + 54 + 42. Let w = -7764 - -7800. Suppose -w = -4*x + 3*r + 2*r, -2*x + r = -n. Does 14 divide x?
True
Let w(v) = 18*v**2 - 79*v - 304. Is 4 a factor of w(-4)?
True
Suppose -13646 = -17*s + 13*s + 3*l, s = 3*l + 3416. Does 31 divide s?
True
Let w(x) be the second derivative of -5*x**4/24 + 35*x**3/6 - 8*x**2 - 8*x. Let o(u) be the first derivative of w(u). Is 30 a factor of o(-11)?
True
Let n = 395 - -64. Let f = n - 283. Let p = f - 122. Is 18 a factor of p?
True
Let q(o) = o**3 - o**2 - 2*o + 2. Let h be q(1). Let k(s) = -2 - 7 - 3*s**3 + h - 2*s**2 + 7. Is 2 a factor of k(-2)?
True
Suppose -12*h - 1176 = 2*h. Suppose 787 + 458 = 5*d. Let f = d + h. Is f a multiple of 15?
True
Suppose 5*f - i = 112058, 277*i + 16 = 275*i. Does 27 divide f?
True
Let y be (-210700)/(-525) + -1*(-1)/(-3). Suppose -11919 - y = -22*b. Does 16 divide b?
True
Let f(j) be the third derivative of 4*j**5/15 - 5*j**4/8 - 26*j**3/3 + 52*j**2. Is 88 a factor of f(-4)?
True
Let j = -6186 - -9019. Does 59 divide j?
False
Let s(q) = q**3 + 51*q**2 + 90*q - 116. Does 4 divide s(-48)?
True
Suppose 0 = -39*y - 55*y + 223908. Does 49 divide y?
False
Let h be ((-3)/(-4))/(2 + (-60)/32). Let u(c) = -4*c + 29. Let s be u(h). Suppose -4*t + 8 = -3*r - 27, -44 = -s*t + 4*r. Does 8 divide t?
True
Suppose 2*a = -5*o - a + 30269, -18162 = -3*o - 2*a. Is o a multiple of 14?
False
Does 202 divide -2 - (-11463 + (-27)/13 + 5/65)?
False
Suppose -4*u - 63 - 120 = m, -5*m + 260 = -5*u. Let d = u - -44. Let z(n) = -22*n. Is 5 a factor of z(d)?
False
Let m be (2/5)/((-1)/(-5)). Let x be m + 18/(-4) - (-5)/(-10). Is 338/(1 - -1) - x a multiple of 18?
False
Let z(f) = 74*f - 302. Let v be z(4). Let j(m) = -7*m**3 - 16*m**2 - 28*m - 4. Is 49 a factor of j(v)?
False
Suppose 51 = 11*a - 509 - 210. Is a a multiple of 15?
False
Let f be 1 + (1 - 6) - -3. Let c be 3*(-6)/(-9)*(0 - f). Is 21 a factor of (-9)/9 + c/(2/77)?
False
Let v = 18706 + -16186. Is v a multiple of 6?
True
Let o(r) = -r**3 - 5*r**2 - 3*r - 11. Let m be o(-5). Suppose -2*u + m*t = t + 9, -3*u - 3*t - 6 = 0. Let p(w) = -31*w + 3. Does 32 divide p(u)?
True
Suppose 4*a - 2*l = 8, 0 + 3 = 3*a - 3*l. Let c be (18/(-7))/(a/21). Does 40 divide -1*66/c*(-45)/(-1)?
False
Let i(f) = f**3 - 105*f**2 - 62*f - 664. Is 25 a factor of i(106)?
True
Let j(l) be the third derivative of -7*l**4/12 - 7*l**3/6 - 19*l**2. Let h be j(-2). Suppose 24*r = h*r + 69. Does 15 divide r?
False
Suppose -b + 6139 + 1631 = 0. Is b a multiple of 70?
True
Suppose -4*j + 15922 = -2*n, -59*j + 19870 = -54*j + 4*n. Is j a multiple of 9?
True
Suppose 7*f - 8*f + 175 = 0. Let k be 6/4*(-12)/(-9). Suppose -k*y - 21 = -f. Is y a multiple of 30?
False
Let w be (-4 + 18)*1*(2 + -1). Suppose -w*d - 392 = 14. Let f = 75 + d. Is f a multiple of 6?
False
Suppose 39*g - 34*g - 30 = 0. Is 29 a factor of 6*(-29)/g*18/(-6)?
True
Suppose 0 = -5*r + 3*l + 20977, -r = 4*l - 112 - 4111. Is r a multiple of 17?
True
Suppose 14*b - 420471 = -72571. Is 70 a factor of b?
True
Let x = -61 + 101. Let i = x - -4. Suppose 5*u - 4*g = 209, 2*g + i + 173 = 5*u. Does 5 divide u?
True
Does 8 divide (2 + -92)/9 - -3697?
False
Let s = 4701 + -1371. Is s a multiple of 28?
False
Let t be 45/63 - 6/(-21). Suppose 7 = 2*y - t. Suppose -y*b + 7*b - 102 = 0. Is b a multiple of 9?
False
Let s = -406 + 1856. Is 10 a factor of 16*2/10*s/20?
False
Let t(j) = -j**3 - 3*j**2 + 8*j. Let q(z) = 2*z**2 + 2 - 8 - 3*z**2 - 8*z. Let f be q(-8). Is 20 a factor of t(f)?
True
Let n(t) = 96*t**2 + 17*t - 249. Is n(8) a multiple of 11?
False
Suppose 6*f = -5*v + f + 15670, 2*v + 5*f - 6265 = 0. Is 55 a factor of v?
True
Suppose -12*i = 8*i - 920. Let k = 176 - i. Is 26 a factor of k?
True
Let q(l) = -22*l + 4*l**2 + 34 - 3*l**2 + 7*l. Let y(a) = -14*a**3 + 7*a**2 + 17*a + 11. Let m be y(-1). Is 8 a factor of q(m)?
False
Suppose 21*k - 20*k = 4*y - 4, 4*y + 5*k - 4 = 0. Is y + ((-7)/(-35) - 2997/(-15)) a multiple of 8?
False
Let k = 14949 - 10218. Does 20 divide k?
False
Is 9 a factor of (-8)/20*1538775/(-70)?
True
Suppose -20*p = -43*p + 75118. Is p a multiple of 23?
True
Let a be 2/(-1)*(2 - 15). Suppose 17 = q - 3*r - 26, 0 = 5*q - 5*r - 265. Let m = q - a. Does 16 divide m?
True
Let l = 12 + -8. Suppose 1 - 4 = y, z - y - 78 = 0. Is 15 a factor of (z/4)/1*l?
True
Suppose 10*q = -n + 856, 0 = 4*n - 4*q + 72 - 3320. Does 51 divide n?
True
Let j(q) = 319*q + 19075. Does 8 divide j(-45)?
True
Let d = 171 + -176. Does 23 divide 10*546/12 - d?
True
Suppose -4*a = -2*f + 16, -a + 9 = -3*f - 6*a. Is -105*((-44)/10 + f) a multiple of 9?
True
Let i = 385 - 381. Suppose -i*k = -61*k + 2508. Is k a multiple of 5?
False
Let t(v) = v**2
|
{
"pile_set_name": "DM Mathematics"
}
|
- -2.2248.
2.3248
Work out -269 - -5.
-264
Calculate 50007.7 + -1.
50006.7
Sum 43.4 and -555.4.
-512
Total of 0.39172 and -100.
-99.60828
-0.014+149
148.986
What is -537 plus -17?
-554
Add 94 and -0.08.
93.92
What is the distance between -633 and -0.5321?
632.4679
What is -121828 less than 2?
121830
What is -4 minus 1673?
-1677
What is the difference between 1.4 and -84?
85.4
What is the difference between 3 and 2.871?
0.129
What is -0.3 - -0.261704?
-0.038296
Calculate 25 - 16308.
-16283
What is 0.2 less than -0.102?
-0.302
Sum -17804 and 0.4.
-17803.6
What is the difference between -0.021 and -24.468?
24.447
Work out -4 - -47.88.
43.88
What is 633 - 7.3?
625.7
2+262.21
264.21
What is the distance between 0.108 and -1.36?
1.468
What is the difference between -305169 and -1?
305168
Calculate 0.5 + -77106.
-77105.5
Add together -0.05 and -10.092.
-10.142
What is -33.8 take away 0.05?
-33.85
-0.00253 + -2
-2.00253
Calculate -673.61 + 0.1.
-673.51
What is -0.2 plus 822?
821.8
Subtract 662 from 0.5108.
-661.4892
Total of 5912 and 1.
5913
What is the difference between 0.031 and -1.173?
1.204
Calculate -315 - 1.8.
-316.8
Calculate 0.41 + 0.03.
0.44
What is 184 + -4.4?
179.6
Work out -0.23 - -2.49.
2.26
Put together 0.2 and 2822.4.
2822.6
What is 0.3 plus 242678?
242678.3
What is 135698 - 1?
135697
Work out 3 + 1175.
1178
Add -2.992 and 1.38.
-1.612
250 - 0.5
249.5
-1 - 1116
-1117
What is -60 take away -18.003?
-41.997
What is 0.4929 + -6?
-5.5071
Sum -31 and -8083.
-8114
What is -641249 minus 19?
-641268
-213.2 + -317
-530.2
4+6929
6933
What is 0.8452 minus 0.03?
0.8152
What is 3263428 take away 1?
3263427
What is -0.2 - -35.8227?
35.6227
What is the distance between -0.2 and -27470?
27469.8
What is -69847 plus -0.04?
-69847.04
What is -0.4 + -7238?
-7238.4
What is 1761179 - 0.4?
1761178.6
What is 23.39 plus 0.4?
23.79
Work out 3 - 11.636.
-8.636
Total of 0.14 and 496.
496.14
Calculate -0.028 + 58229.
58228.972
What is -2.6 minus 497?
-499.6
What is 63300 take away 1?
63299
Calculate -265.8 - -1.
-264.8
What is the distance between -36 and 5.8?
41.8
What is 6 + 1408?
1414
What is -0.1558 plus -0.5?
-0.6558
What is the difference between 0.07 and -1.46127?
1.53127
0.3+-2179
-2178.7
What is 0.51669 minus -0.17?
0.68669
Total of 252 and -1.
251
What is -1.69 - 0.14?
-1.83
Add together -65.4 and -0.06527.
-65.46527
What is -3 less than 120.7798?
123.7798
Put together 0.3 and 620.
620.3
What is 0.5 minus -3.95?
4.45
What is 0.69 less than -101.41?
-102.1
Calculate 2.1377 + 0.14.
2.2777
What is 0.01893 take away -0.031?
0.04993
Work out -8922.9 - 0.
-8922.9
What is 4.634 take away -7?
11.634
What is the distance between -18 and -0.03?
17.97
Add 6 and 1.62.
7.62
What is -28 - 9427?
-9455
What is the distance between 0 and 0.0270831?
0.0270831
What is the distance between -1584846 and -5?
1584841
Add 0.5 and 740.
740.5
Total of 92 and -0.02.
91.98
-93 - -0.052
-92.948
-436.4+-0.3
-436.7
Total of -0.01259 and -11.
-11.01259
-0.08828 - 40
-40.08828
What is -5.4 plus 0.527?
-4.873
Subtract -6 from -69266.
-69260
What is -0.14 + 99.485?
99.345
What is the difference between -2 and 1396487?
1396489
What is 2.3468 minus 0.006?
2.3408
Add together -49 and 162.3.
113.3
-448 + 460
12
Total of 327.7 and -5.
322.7
Add 4 and -58.1.
-54.1
Add 1721 and 181.
1902
Calculate 1457 + 4.
1461
-0.3+1826
1825.7
What is -596937 - 0.1?
-596937.1
-110+0.07
-109.93
What is -0.217 take away 74?
-74.217
Put together 1.78 and -0.035.
1.745
0.5 - -432267.2
432267.7
What is the distance between -23 and -0.143?
22.857
Subtract -0.44228 from -65.
-64.55772
What is the distance between 5 and -22.011?
27.011
Add together 5971 and -0.2.
5970.8
58 + -24
34
Put together 0.1192454 and 5.
5.1192454
Work out 105 - 29.
76
23.71 - 228
-204.29
-5 + -536.2
-541.2
What is -0.05 - -101?
100.95
What is 9 plus 554?
563
Calculate 1972 - 13.
1959
What is 0.16 plus -0.0418?
0.1182
Work out -5 + -6.693.
-11.693
What is -4.74329 plus -0.2?
-4.94329
What is the distance between 51 and -0.07872?
51.07872
Add -0.9 and -77.4.
-78.3
-29 - 1.397
-30.397
Work out 9384 - 3.
9381
What is the distance between -81 and -181?
100
What is -71976 less than -79?
71897
-0.2782272 + 2
1.7217728
-807.76 - 0.1
-807.86
0 - -34.2
34.2
What is 62.0309 less than 5?
-57.0309
Total of -17.7 and 0.23.
-17.47
Calculate 4238.26 - -2.
4240.26
Subtract 261 from -0.3.
-261.3
Add 0.1 and -43726.
-43725.9
Add -0.3 and -295513.
-295513.3
Put together 2 and -992300.
-992298
Sum 0.004 and 2083.4.
2083.404
What is 15 minus -6.5?
21.5
What is -0.0926 less than 0.3?
0.3926
What is -5 + 211.318?
206.318
Calculate -337 - -1.
-336
What is the difference between -0.2 and 2783?
2783.2
Add together -0.082 and -83.
-83.082
What is 98 + 541?
639
Work out -0.4 - -200710.
200709.6
Add together -0.3 and 31.57.
31.27
What is 68 take away 8245?
-8177
0.0112 - 1.79
-1.7788
What is -24 - -0.09736?
-23.90264
What is 26 plus 12504?
12530
What is 123.5 plus -2?
121.5
1.25 + -9
-7.75
Calculate 0.5 + -1270.275.
-1269.775
Total of 4 and 61.
65
What is 27.68 take away 0.075?
27.605
What is -7847 minus -10?
-7837
Calculate 172713.7 - 0.5.
172713.2
-7 + 0.1441
-6.8559
Subtract -2 from -4.31.
-2.31
Calculate 3 - 8907.
-8904
0.026 - 5268
-5267.974
What is 813957 + 0.5?
813957.5
Total of 0.5 and 424983.
424983.5
Sum -18396 and 6.
-18390
What is the distance between -57 and 0.0536?
57.0536
0.2+3.54
3.74
Total of 0.2 and 7.295.
7.495
Calculate 0.06 - -0.0408.
0.1008
3232 - 5.87
3226.13
Subtract -3.4008 from -7.
-3.5992
What is -7560 - 2?
-7562
What is -1 take away -215.32?
214.32
-1.1571+0.2
-0.9571
-6.1 - -0.0788
-6.0212
-0.5+2906.5
2906
What is 1250 plus 0.2?
1250.2
What is the difference between -5.819 and 758?
763.819
What is -74.79 + -8?
-82.79
-1552 - -11
-1541
Calculate 33811 - 0.
33811
59686 + -0.4
59685.6
Work out 0.020732 - -0.2.
0.220732
What is 1 less than -15.25?
-16.25
Subtract 0 from -16287.
-16287
2628 - -58
2686
Work out 5 - -181.4.
186.4
Total of 4 and -342506.
-342502
What is the difference between -0.16 and -33?
32.84
What is 13 + -238?
-225
Add together 0.5 and 4.688705.
5.188705
-1.8 - 8417
-8418.8
Work out -2.521 + -0.3.
-2.821
Calculate -27858.9 - 11.
-27869.9
Add together -2 and 332.81.
330.81
Work out -167 - 0.87.
-167.87
What is 0.092 - -1642?
1642.092
What is -8 minus 1951.47?
-1959.47
What is -0.5 take away -5.249?
4.749
Calculate -1 - 0.0031.
-1.0031
Total of -27 and -7.
-34
What is -63.3 - -7?
-56.3
Sum -2411.9 and -0.17.
-2412.07
What is 100 less than -22.69?
-122.69
Work out 2423 + 0.5.
2423.5
What is the distance between -31.986 and -1.39?
30.596
Add -0.3 and 446424.
446423.7
Work out -7.05 - 0.03.
-7.08
Calculate -0.0299 - 2.
-2.0299
Subtract 710.9 from 611.
-99.9
Calculate 4714 - -5.
4719
What is -2.31 take away 36.6?
-38.91
What is -114630 + 0.13?
-114629.87
What is 6 - 7056?
-7050
6.4+390
396.4
What is the distance between -0.73 and 54?
54.73
1.88 - -42
43.88
Put together 0.4 and 1052527.
1052527.4
Put together 838 and -2222.
-1384
What is -121.74 + 14?
-107.74
Add 0.6821 and 0.3.
0.9821
What is -262 minus 82?
-344
What is 0.023798 - 7?
-6.976202
Subtract 975 from -2.
-977
What is 1.5434 - -4.8?
6.3434
What is -345037 take away 4?
-345041
Subtract -14033 from -0.13.
14032.87
Work out 0.08 - 3251.23.
-3251.15
What is the difference between -5 and -118088?
118083
What is 0.5 take away 893?
-892.5
Add together -89196 and 1.
-89195
Subtract 57 from -0.31.
-57.31
What is the distance between -5760 and 1.34?
5761.34
Sum -2556 and -0.333.
-2556.333
Add -0.5 and -0.175579.
-0.675579
What is -22275 less than 5.8?
22280.8
-18 - 10.8
-28.8
Sum -0.3 and 112297.
112296.7
What is 87 - 0.11?
86.89
Work out 3.1 - 7670.
-7666.9
What is -4606 - 15?
-4621
What is -12 + -10456.2?
-10468.2
What is -47.128 - 0.6?
-47.728
Work out 0.07872 + -0.27.
-0.19128
What is 0.5 take away -1300166?
1300166.5
What is 1654 plus 0?
1654
What is -6.547 less than -50?
-43.453
What is -21 take away -876.7?
855.7
What is the distance between 0.1463 and -1?
1.1463
Put together -0.01164 and -7.
-7.01164
Add 0.3 and 204525.1.
204525.4
Add together 0.4 and -7552.38.
-7551.98
Work out -7.89 - -0.13.
-7.76
Work out 103.718 + 4.
107.718
Add -0.3 and -615615.
-615615.3
Total of 6 an
|
{
"pile_set_name": "DM Mathematics"
}
|
Give f*o(t) + m*v(t).
2*t
Let n(w) = -3. Let o(c) = -2 - 3 - c - 9 + 9. Determine 5*n(r) - 3*o(r).
3*r
Let p(w) = 1 + 2 + 9 + 5 + 29*w. Let z(k) = -10*k - 6. What is -6*p(l) - 17*z(l)?
-4*l
Let d(m) = 21*m**3 - 18*m**2 - 18. Let l(f) = -f**3 + f**2 + 1. Let x be (-2)/2 - 0/1. Let o(z) = 5*z + 132. Let c be o(-30). What is c*l(p) + x*d(p)?
-3*p**3
Let j(v) = v + 1. Let k(l) = 15*l**2 + 8*l + 6. Give -6*j(g) + k(g).
15*g**2 + 2*g
Let j(h) = -h**3 - 4*h - 1. Let p(c) be the first derivative of c**4/4 + c**2/2 + 22. Determine -j(z) - 3*p(z).
-2*z**3 + z + 1
Let p(r) = 4*r + 17. Let v(y) = y + 4. Let d be (12/7)/(4/14). Give d*p(h) - 26*v(h).
-2*h - 2
Let u(q) = 4*q**3 - 3*q**2 - 3*q - 3. Let z(p) be the first derivative of 1/2*p**2 + p - 1/4*p**4 + 2 + 1/3*p**3. Calculate -2*u(i) - 6*z(i).
-2*i**3
Let r = -7 - -9. Let t(o) = -7*o - o**r + 0*o**2 + 3 + 5*o. Let p(w) be the third derivative of w**5/60 + w**4/12 - 2*w**3/3 - 5*w**2. What is 3*p(f) + 4*t(f)?
-f**2 - 2*f
Let y(r) = 18*r + 17. Let a(d) = 3*d + 3. What is 34*a(q) - 6*y(q)?
-6*q
Let u(i) = -10*i + 18. Let w(h) = 2*h - 4. Let n(a) = -3*u(a) - 14*w(a). Let b(x) = 5*x + 5. Let c(z) = -z**2 + 7*z - 3. Let y be c(5). What is y*n(r) - 3*b(r)?
-r - 1
Let b(p) be the first derivative of -4*p**3/3 + 2*p**2 + 6*p + 4. Let s(r) = 4*r**2 - 3*r - 5. Determine -3*b(l) - 4*s(l).
-4*l**2 + 2
Let i(n) = -n**3 - n**2 + n - 1. Suppose 6 = 9*j - 6*j. Let c(t) = 5*t**3 - 3 + 2*t**2 - 4*t**3 - 2*t + 7. What is j*i(x) + c(x)?
-x**3 + 2
Let m be 2/(-4) - 111/(-2). Suppose -4*d - d = m. Let a(r) = -6*r - 11. Let j(x) = -x - 2. Let t(z) = -3*z - 6. Let f(n) = 4*j(n) - t(n). Give d*f(v) + 2*a(v).
-v
Let g(b) = -2*b**2 - 2*b - 9. Let v(l) = -2*l**2 - 2*l - 8. What is 6*g(f) - 7*v(f)?
2*f**2 + 2*f + 2
Let m(u) = -6*u**3 - 3. Let c(t) = -5*t**3 - 4. Give -3*c(f) + 4*m(f).
-9*f**3
Let c(z) = 8*z. Let s(i) = -8*i. Determine 6*c(q) + 5*s(q).
8*q
Let d(k) be the first derivative of 4*k**3 - 6*k**2 - 3 + 3/4*k**4 + 12*k. Let b(g) = -g**2 + g - 1. Determine 12*b(t) + d(t).
3*t**3
Let c(m) = -3*m**2 + 2*m - 1. Let d(o) = 6*o**2 - 4*o + 1. Calculate -5*c(q) - 3*d(q).
-3*q**2 + 2*q + 2
Let t(j) = 5*j + 11*j**3 + j**2 - 4*j**3 + 0*j. Suppose -4*z - 2*y = 12 + 10, 5*y = z - 22. Let d(k) = -4*k**3 - k**2 - 3*k. Give z*t(b) - 5*d(b).
-b**3 + 2*b**2
Let z be (84/24)/(1/(-2)). Let d(j) = -4*j + 9. Let f(r) = -2*r + 4. Calculate z*f(i) + 3*d(i).
2*i - 1
Let z(v) = v**2 + v. Let k = 184 - 187. Let h(o) = 4*o - 5*o + 4*o. What is k*z(u) + h(u)?
-3*u**2
Let w(l) = l - 1. Let i(n) = -2*n**2 + 2*n - 4. Let z be ((-1)/3)/((-1)/9). Suppose -2*o + 1 = -z*o. Determine o*i(u) + 4*w(u).
2*u**2 + 2*u
Let u(t) = 8*t - 7. Let s(p) = 21*p - 7. Let c(m) = 22*m - 6. Let f(k) = 6*c(k) - 7*s(k). Determine -6*f(w) - 11*u(w).
2*w - 1
Let z(r) = -6*r**3 + 5*r**2 + 4*r - 1. Let f(q) = 7*q**3 - 6*q**2 - 5*q. What is -4*f(l) - 5*z(l)?
2*l**3 - l**2 + 5
Let r(h) = -3*h**3 + 3*h**2 - 7. Let w(i) = i**3 + i**2 - 1. Calculate r(t) - 3*w(t).
-6*t**3 - 4
Let g(f) = 7*f**2 + 4*f + 8. Let c(i) = 6*i**2 + 4*i + 7. Determine 6*c(h) - 5*g(h).
h**2 + 4*h + 2
Let i(o) = -o. Let y(v) = 5*v**2 - 2*v. Suppose -14*c + 9*c = 5. Calculate c*y(k) + 2*i(k).
-5*k**2
Let b(g) = -6*g**2 - 3*g + 3. Let n(q) = 2*q**2 + q - 1. Give 2*b(c) + 7*n(c).
2*c**2 + c - 1
Let r(c) = 9*c - 2. Let s(k) = k**2 + 2*k - 3. Suppose 0 = -p - 3 - 1. Let j be s(p). Let l(v) = 2*v - 7*v + 3 - 6 + 4. Give j*l(g) + 3*r(g).
2*g - 1
Let f(k) be the first derivative of k**3/3 + k**2/2 - 2*k + 8. Let o(w) be the second derivative of w**4/12 - w**3/6 + 3*w. Calculate f(d) + o(d).
2*d**2 - 2
Let d(w) = 9*w + 1. Let i(l) = 8*l. Give 3*d(s) - 4*i(s).
-5*s + 3
Suppose -13 = v + 2*r, -r - 10 = 3*v + 9. Let b(f) = -f**3 - 2*f + 3*f**2 + 0*f**3 + 4*f. Let d(h) = h**3 - 4*h**2 - 3*h. Give v*d(z) - 7*b(z).
2*z**3 - z**2 + z
Let p(f) = -4*f**3 + 2*f**2 + 2*f - 2. Let s be ((-144)/(-180))/(3*4/30). Let b(a) = -8 + 3 - 8*a**3 + 5*a + 5*a**2 - a**3. What is s*b(x) - 5*p(x)?
2*x**3
Let j(v) = v**2 + 1. Let w(t) = -2*t**3 - 2*t**2 + t - 2. Let k(r) = -3*r - 3*r + 4*r + 5 + 3*r. Let y be k(-4). What is y*w(g) + 2*j(g)?
-2*g**3 + g
Let u(i) = -3*i**2 + 3*i. Let g(w) = w**3 - 3*w**2 + 3*w. Calculate 4*g(b) - 3*u(b).
4*b**3 - 3*b**2 + 3*b
Let f(s) = -6*s. Let w(t) = t**2 + 17*t. Let a be (-378)/105*5/(-3). Give a*w(r) + 17*f(r).
6*r**2
Let w(a) = -a. Let v(k) = -4*k - 1. Let d(g) = -2*v(g) + 5*w(g). Let f(n) = 3*n + 3. What is 3*d(q) - 2*f(q)?
3*q
Let x(v) be the second derivative of 7*v**3/6 - v**2 - 4*v. Let o(a) = -6*a + 2. What is -5*o(p) - 4*x(p)?
2*p - 2
Let i(x) = -4*x**2 - 4. Let p(b) = b**3 - 3*b**2 - 3. Let l(u) = u**2 - 8*u + 16. Let m be l(6). Determine m*p(s) - 3*i(s).
4*s**3
Let g(s) = -3*s**3 - 5*s**2 + 3. Let n(i) = -2*i**3 - 4*i**2 + 2. Determine -3*g(u) + 4*n(u).
u**3 - u**2 - 1
Let m(l) = -l. Let f(z) = -16*z - 2. Determine f(v) - 3*m(v).
-13*v - 2
Let z(m) = 14*m**2 + 14*m + 10. Let v(b) = -5*b**2 - 5*b - 3. Calculate 8*v(y) + 3*z(y).
2*y**2 + 2*y + 6
Suppose 5*t - 5*n = -15, 2*t - 5 = 5*t - n. Let p(u) = -1 + 3 - 3 + 0. Let q(v) = 4. Let h(z) = -5*p(z) - q(z). Let b(g) = g - 4. Determine t*b(m) - 5*h(m).
-m - 1
Let b = -8 - -13. Suppose -3*w + 38 = 2*w - 2*l, -3*w = -l - 22. Let h(o) = 4*o + 3*o - o - 2. Let n(c) = -7*c + 2. What is b*n(j) + w*h(j)?
j - 2
Let l(t) = -2*t**2 + 1. Let b be (-5)/30 - (-2)/24*-22. Let x(c) = c**2 - c. Let q(o) = 5*o**2 - 6*o + 1. Let w(f) = -q(f) + 6*x(f). Calculate b*w(s) - 2*l(s).
2*s**2
Let w(s) = -2*s + 0 + 4*s - 2. Suppose -f = f - 2. Let z(m) = -m. Let a = -1 - -2. Determine a*z(y) + f*w(y).
y - 2
Let i(n) = 14*n**2 + 4. Let x(y) = 15*y**2 + 3. What is 3*i(b) - 4*x(b)?
-18*b**2
Let g(k) = 4*k**3 + 3*k**2 + 3*k - 4. Let q(r) = -3*r**3 - 2*r**2 - 4*r + 3. What is -2*g(n) - 3*q(n)?
n**3 + 6*n - 1
Let c(w) = 33*w**2 - 9*w + 7. Let f(t) = 16*t**2 - 5*t + 4. Determine -4*c(q) + 7*f(q).
-20*q**2 + q
Let q(k) = -4*k**2 + 5*k - 2. Let j(h) = 5*h**2 - 4*h + 3. Calculate 2*j(a) + 3*q(a).
-2*a**2 + 7*a
Let s(z) be the third derivative of z**4/24 + z**3/3 - 16*z**2. Let w(l) = -4*l - 11. Calculate 11*s(m) + 2*w(m).
3*m
Let t(j) = j**3 - j**2 + j + 1. Let m(s) = -27*s**3 - 4*s**2 + 4*s + 4. Determine m(y) - 4*t(y).
-31*y**3
Let w(k) = -k**3 + k**2 - k + 1. Let i(z) = 54*z**3 - 30*z**2 + 30*z - 30. Determine -i(n) - 30*w(n).
-24*n**3
Let j(o) = -2. Let t = -8 - -10. Let s(x) = -x - 1. Determine t*s(r) - j(r).
-2*r
Let z(k) = k**3 + 6*k**2 - 2*k - 8. Let r be z(-6). Let h(g) = 8 + g - r*g - g. Let j(m) = 0 - 1 - 2*m + 3*m. Calculate h(a) + 6*j(a).
2*a + 2
Let u(v) = -2*v. Let g(n) = -n - 1. Give -2*g(k) - u(k).
4*k + 2
Let m(k) = -k**2 - 2*k + 5. Let t(p) = 2*p**2 + 4*p - 11. Determine 9*m(j) + 4*t(j).
-j**2 - 2*j + 1
Suppose 5*v - 3*x - 6 = 14, v = 3*x + 4. Let h(k) = -11*k**2 - 2*k**3 - 2 + 14*k + 2 - v - 4. Let g(z) = -z**3 - 4*z**2 + 5*z - 3. What is 8*g(u) - 3*h(u)?
-2*u**3 + u**2 - 2*u
Let w(r) = 6*r**3 + 4*r**2 - 4*r. Let h(o) = o**3 - 4*o + 2*o**2 + 3*o - o**2 + 0*o**3. Let d(s) = 2*s**2 + 2*s + 1. Let l be d(-1). What is l*w(b) - 4*h(b)?
2*b**3
Let z(s) = -6*s**2 - 10*s + 5. Let k(g) = -3*g**2 - 5*g + 2. What is 5*k(x) - 2*z(x)?
-3*x**2 - 5*x
Let n(z) = 4*z**2 + 2*z + 2. Let r(w) = w**2 + w. Give -n(o) + r(o).
-3*o**2 - o - 2
Let t(f) = -2*f + 3. Suppose 0 = 8*l - 10 - 30. Let g(b) = -3*b + 4. Calculate l*g(n) - 7*t(n).
-n - 1
Let m(v) be the second derivative of -v**3 - 2*v**2 - 10*v. Let f(i) = -7*i - 5. Determine 4*f(g) - 5*m(g).
2*g
Let k(x) = -2*x**2 - 1. Let a(h) = h**2 - 1. Suppose 4*u - 5 = 5*p, 0 = 5*p + 3*u - 5*u + 5. What is p*k(g) - a(g)?
g**2 + 2
Let f(v) = 3*v + 4. Suppose -18 + 34 = -4*y. Let n(r) = 3*r + 3. What is y*n(c) + 3*f(c)?
-3*c
Let y(i) = -i + 1. Let v(u) = 9*u - 7. Determine -v(r) - 6*y(r).
-3*r + 1
Let p(u) = -u. Let w = -25 + 25. Let z(g) be the second derivative of 0*g**2 - 1/6*g**3 + w - g. Calculate -4*p(t) + 3*z(t).
t
Let o(f) be the first derivative of -f**3/3 - f + 22. Let d(a) = -a**3 + 5*a**2 + 5. Give -d(n) - 5*o(n).
n**3
Let r(d) = -9*d**2 - 5*d + 2. Let l(t) = 13*t**2 + 7*t - 3. Let u be ((-222)/(-36) - 7)/((-1)/6). Determine u*l(z) + 7*r(z).
2*z**2 - 1
Let x(l) = -2*l + 7. Let c(j) = -j + 7. Calculate 4*c(g) - 3*x(g).
2*g + 7
Let o(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
/60*h**4 + 0*h**3 + 0. Solve c(z) = 0 for z.
-1, 0, 2/5, 1
Let n = 22 - 14. Let r be n/(-10) + 38/10. Factor 1/2*h + 7/4*h**4 + 0 - 1/2*h**r - 7/4*h**2.
h*(h - 1)*(h + 1)*(7*h - 2)/4
Suppose 5*b = -5*k - 25, 2*b - 20 = 2*k + 6*b. Let 1/2*p**3 - p - 1/2*p**2 + k = 0. Calculate p.
-1, 0, 2
Solve -4*w + 1 - 5*w**2 + 2 + 4*w**2 + 2*w = 0.
-3, 1
Let k(b) = -b**2 + b - 1. Let w(v) = -10*v**2 + 24*v + 4. Let g(s) = 12*k(s) - w(s). Determine z, given that g(z) = 0.
-4, -2
Factor 0 + 1/2*f**4 - 1/2*f**2 + 0*f**3 + 0*f.
f**2*(f - 1)*(f + 1)/2
Let m = -59 - -61. Factor 0 - 1/5*q**m - 2/5*q.
-q*(q + 2)/5
Let k(a) be the second derivative of a**6/80 - 3*a**5/160 - a**4/32 + a**3/16 + a. Factor k(o).
3*o*(o - 1)**2*(o + 1)/8
Let o be (-10*(-6)/(-24))/((-5)/10). Factor -3*d**3 + 3/2*d**2 + 5/2*d**4 - 1/4*d - 3/4*d**o + 0.
-d*(d - 1)**3*(3*d - 1)/4
Factor 2/7*n + 0 + 1/7*n**3 + 3/7*n**2.
n*(n + 1)*(n + 2)/7
Let k(z) be the first derivative of -z**2/2 + 6*z + 5. Let t be k(6). Determine q so that 5/3*q**2 + t + 2/3*q = 0.
-2/5, 0
Factor 4*o - 4/3*o**2 - 8/3.
-4*(o - 2)*(o - 1)/3
Find z such that -4/3*z**2 - 10/3*z - 2/3 - 6*z**5 + 28/3*z**3 + 2*z**4 = 0.
-1, -1/3, 1
Let a be 6/27*-30*(-2)/4. Factor 1/3 - 10/3*j**3 + a*j**2 - 1/3*j**5 + 5/3*j**4 - 5/3*j.
-(j - 1)**5/3
Let v(x) = -x**3 - 18*x**2 - 55*x + 14. Let w be v(-14). Factor 2*u**2 + 2*u + 1/2*u**3 + w.
u*(u + 2)**2/2
Let o(s) be the first derivative of 3/20*s**4 + 1/30*s**6 - 1/15*s**3 + 4 + 0*s - 3/25*s**5 + 0*s**2. Factor o(m).
m**2*(m - 1)**3/5
Let t = 55344/5 - 11264. Let m = t + 196. Factor -m*p - 4*p**2 + 0 - 5*p**3.
-p*(5*p + 2)**2/5
Let a(i) = 6*i**2 + 5*i - 6. Let u(x) = 4*x**2 + 9*x - 4. Let v(h) = h**2 - h - 1. Let l(z) = -u(z) - 3*v(z). Let j(d) = -6*a(d) - 5*l(d). Factor j(g).
-(g - 1)*(g + 1)
Suppose 4*k = 4, -5*k + 10 = 5*l - 10*k. Factor -2*r - l*r + 8*r + 3*r**2.
3*r*(r + 1)
Let m = -11 + 16. Suppose -o + m*o = 16. Factor 0*k**o + k**3 - k - 4*k**2 + 5*k**2 - k**4.
-k*(k - 1)**2*(k + 1)
Let m be (10/45 - -4) + -4. Determine t, given that 2/9*t**5 + 2/9*t - 4/9*t**3 - 4/9*t**2 + m*t**4 + 2/9 = 0.
-1, 1
Let l(z) be the third derivative of 3*z**2 + 0 + 1/900*z**6 + 0*z + 0*z**3 + 1/180*z**4 + 1/225*z**5. Factor l(d).
2*d*(d + 1)**2/15
Let s(z) be the first derivative of -z**6/240 - 7*z**5/240 + z**4/8 + 4*z**3/3 - 3. Let g(l) be the third derivative of s(l). Find b such that g(b) = 0.
-3, 2/3
Let p(f) be the third derivative of f**8/60480 + f**5/12 - 2*f**2. Let a(s) be the third derivative of p(s). Determine c so that a(c) = 0.
0
Let n(k) be the second derivative of -k**5/90 - k**4/27 - k**3/27 - 6*k. Suppose n(y) = 0. What is y?
-1, 0
Let h = -6 + 9. Suppose -h*b - 5*p + 27 = 0, 2*p = -4 - 2. Factor -8/7 - 290/7*o**2 + 470/7*o**3 + b*o**5 - 50*o**4 + 80/7*o.
2*(o - 1)**3*(7*o - 2)**2/7
Find k, given that 25/3*k**2 + 0 - 3*k**3 + 2*k = 0.
-2/9, 0, 3
Suppose -3*r = 2*r. Let l(w) be the third derivative of 1/300*w**6 - 2*w**2 + 0 - 1/525*w**7 - 1/60*w**4 + r*w**3 + 0*w + 1/150*w**5. Factor l(x).
-2*x*(x - 1)**2*(x + 1)/5
Let j(n) be the third derivative of -1/336*n**8 - 1/120*n**6 + 0*n - 1/70*n**7 - 4*n**2 + 0 + 0*n**3 + 1/12*n**4 + 1/20*n**5. What is d in j(d) = 0?
-2, -1, 0, 1
Let y(c) be the first derivative of c**6/140 + c**5/42 + c**4/42 - 2*c**2 + 5. Let q(p) be the second derivative of y(p). Determine f, given that q(f) = 0.
-1, -2/3, 0
Let s(o) = -o**3 + o**2 - o + 1. Let h(z) = z**3 - 3*z**2 + 7*z - 5. Suppose -4*q + q = -12. Let n be (-1)/q - 15/4. Let u(m) = n*s(m) - h(m). Factor u(c).
(c - 1)*(c + 1)*(3*c - 1)
Suppose 1 = -2*d + r - 0, 3*d - 4*r + 14 = 0. Let z(x) be the third derivative of 0 + 1/8*x**3 - x**d + 0*x**4 - 1/80*x**5 + 0*x. Factor z(k).
-3*(k - 1)*(k + 1)/4
Let r be -7*((-39)/21 + 1). Factor 12*j - r*j**2 + 2*j**2 - 13*j + 3*j**2.
-j*(j + 1)
What is o in 0*o + 2/3*o**5 - 8/3*o**2 + 16/3*o**3 - 10/3*o**4 + 0 = 0?
0, 1, 2
Let v(u) be the first derivative of u**3/18 - u**2/6 - 68. Determine o, given that v(o) = 0.
0, 2
Let y = 28 - 26. Factor 2*p + 2*p**2 + 2*p**2 - 3*p**y + 0*p.
p*(p + 2)
Suppose -8 = -s - 3. Let x(d) be the second derivative of 2*d + 0 - 1/5*d**3 + 2/5*d**4 - 2/5*d**2 - 7/50*d**s. Factor x(y).
-2*(y - 1)**2*(7*y + 2)/5
Let n = 47 - 45. Let i(r) be the second derivative of -7/15*r**6 - 16/3*r**3 - 4*r - 4*r**n + 0 - 1/21*r**7 - 25/6*r**4 - 19/10*r**5. Solve i(v) = 0 for v.
-2, -1
Let v(y) be the third derivative of -y**8/6720 + y**7/210 - y**6/15 - y**5/12 + 6*y**2. Let k(s) be the third derivative of v(s). Factor k(c).
-3*(c - 4)**2
Let u(c) be the third derivative of 0*c + 0*c**3 + 0*c**5 + 0*c**7 - 2*c**2 - 1/60*c**6 + 0*c**4 + 0 + 1/168*c**8. What is h in u(h) = 0?
-1, 0, 1
Let i(b) = -1. Let p(h) = -5*h**2 + 2*h + 2. Let x(s) = 5*i(s) + p(s). Let j(m) = 14*m**2 - 6*m + 8. Let c(w) = 3*j(w) + 8*x(w). Factor c(g).
2*g*(g - 1)
Let p = 299/1545 - -2/309. Let -1/5*o**2 + p*o**4 - 3/5*o**3 + 0 + 1/5*o**5 + 2/5*o = 0. Calculate o.
-2, -1, 0, 1
Suppose b + 4*f = -4, f - 18 = -3*b - 2*b. Let t be 13 + -14 + (-6)/(-4). Factor q**b + 0 + 0*q**2 + t*q**5 + 1/2*q**3 + 0*q.
q**3*(q + 1)**2/2
Let p(j) be the second derivative of -2*j**7/77 + 19*j**6/165 - j**5/5 + j**4/6 - 2*j**3/33 - 14*j. Determine l, given that p(l) = 0.
0, 1/2, 2/3, 1
Factor -25*a - 11 + 118*a**2 - 123*a**2 - 19.
-5*(a + 2)*(a + 3)
Let v = -4/25 - -91/100. Factor v*j**3 + 0*j**2 + 0 + 0*j + 3*j**4.
3*j**3*(4*j + 1)/4
Suppose 3/8*s**3 + 0 + 0*s + 3/4*s**2 = 0. Calculate s.
-2, 0
Let o = -293 - -141. Let u be 4/(-18) - o/36. Factor -2 - u*x**2 - x - 2*x + 3.
-(x + 1)*(4*x - 1)
Suppose -5*s + 0 = -c + 10, 0 = -4*c - 5*s - 60. Let d = c - -12. Let 0*r**d - 1/4 + 1/4*r**4 + 1/2*r - 1/2*r**3 = 0. What is r?
-1, 1
Let n(v) = v**4. Let c(a) = -14*a**4 - 2*a**3. Let f(o) = -c(o) - 12*n(o). Determine d so that f(d) = 0.
-1, 0
Let k be ((44/(-24))/(-11))/3. Let b(a) be the second derivative of 0*a**3 + 1/30*a**5 - 2*a + 0*a**2 - k*a**4 + 0. Factor b(x).
2*x**2*(x - 1)/3
Let t = -65 + 70. Find s, given that 2/5*s**4 + 0 - 2/5*s**2 + 0*s + 1/5*s**t - 1/5*s**3 = 0.
-2, -1, 0, 1
Solve -2*x**3 - 235*x + 231*x - 8*x**2 - 2*x**3 = 0 for x.
-1, 0
Let k(r) be the second derivative of 0 - 2*r**2 + 2/3*r**3 - 2*r - 1/12*r**4. Factor k(f).
-(f - 2)**2
Factor -b**2 + 458 - 10*b - 453 + 6*b**2.
5*(b - 1)**2
Factor -q - 5*q + q**3 - 3*q**2 + 2*q**3.
3*q*(q - 2)*(q + 1)
Let v = 4/129 + 676/387. Solve -v*m**5 - 2/9 + 22/9*m**2 - 58/9*m**3 + 52/9*m**4 + 2/9*m = 0.
-1/4, 1/2, 1
Factor 0*i + 1/3 - 1/3*i**2.
-(i - 1)*(i + 1)/3
Let o(k) = k**2 + 7*k - 112. Let v be o(8). Factor -2/3*j**5 - 8/3*j - 4*j**4 + 0 - v*j**2 - 26/3*j**3.
-2*j*(j + 1)**2*(j + 2)**2/3
Let k(z) be the first derivative of -4*z**3/3 + 2*z**2 + 8*z - 7. Factor k(c).
-4*(c - 2)*(c + 1)
Let x(z) = 126*z**2 - 34*z + 4. Let j(q) be the second derivative of q**4/12 + q**3/6 - q**2/2 + 5*q. Let h(w) = -2*j(w) - x(w). Factor h(l).
-2*(8*l - 1)**2
Let y = 32 + -94/3. Factor -4/9*x + 0*x**3 + 0 + 2/9*x**4 - y*x**2.
2*x*(x - 2)*(x + 1)**2/9
Let a(t) be the second derivative of 5*t - 3/7*t**7 - 4/5*t**6 + 0*t**4 + 0 + 0*t**2 + 0*t**3 - 2/5*t**5. Determine y so that a(y) = 0.
-2/3, 0
Let x = 30 - 27. Let d(l) be the first derivative of -1 + 4/3*l + 2/9*l**x - l**2. Determine w, given that d(w) = 0.
1, 2
Let h(o) be the first derivative of -8/5*o**5 + 7/4*o**2 - 4/3*o**6 + 8/3*o**3 + 5 + 1/2*o + o**4. Suppose h(x) = 0. Calculate x.
-1/2, 1
Let m(h) be the third derivative of -h**5/90 - h**4/36 + 3*h**2. Determine s so that m(s) = 0.
-1, 0
Let v(x) = x**2 + 24*x + 29. Let l(h) = -2*h**2 - 36*h - 43. Let b(m) = -5*l(m) - 7*v(m). Factor b(c).
3*(c + 2)**2
Suppose 350*q = 311*q. Factor 0*m**3 + 0 + 0*m**2 + 2/7*m**4 + q*m - 2/7*m**5.
-2*m**4*(m - 1)/7
Let a(p) = p**2 + 25*p + 1. Let j(d) = -6*d. Let g(l) = -4*a(l) - 18*j(l). Solve g(t) = 0.
1
Let t(b) be the first derivative of 2*b**3/3 + b**2 - 2. Factor t(i).
2*i*(i + 1)
Let c(f) be the first derivative of f**4/3 + 4*f**3/3 - 4*f**2 - 32*f/3 - 3. Factor c(k).
4*(k - 2)*(k + 1)*(k + 4)/3
Let o be 2/8*(-1)/(-1). Let a be 3 + -7 - ((-20)/8 + -2). Factor a*z - o*z**2 - 1/4.
-(z - 1)**2/4
Let a be (-10 + 1251/126)/((-2)/48). Factor a*d**3 + 0*d + 0 - 12/7*d**2 - 3/7*d**4.
-3*d**2*(d - 2)**2/7
Let p be 14/2 + 1 + -1.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 14758. What is the ten thousands digit of d?
4
Suppose 4*f = g + 261, -4*f - 2*g + 231 = 3*g. Let x = 119 + -15. Let c = x - f. What is the units digit of c?
0
Suppose -21*b = -19*b + 5*h - 6404, -2*h + 6404 = 2*b. What is the tens digit of b?
0
What is the units digit of (-65508)/(-12) + -3 + 5?
1
Suppose -3*r - 49*r = 38*r - 207180. What is the units digit of r?
2
Let j(o) = -17136*o - 448. Let b(z) = 115*z + 3. Let n(y) = 448*b(y) + 3*j(y). Let a be n(5). Suppose s = -4*s + a. What is the hundreds digit of s?
1
Suppose -5*t = 2*m - 266724, 0 = -2*t - 2*m + 144047 - 37355. What is the tens digit of t?
4
Suppose -4*p + 14380 = 296. Suppose 89*y - p = 82*y. What is the units digit of y?
3
What is the thousands digit of 2430 - (1 - -6)*-1?
2
Suppose -5*x + 20 = 0, -4*j + 8*j + 268 = 4*x. Let y(h) = -184*h - 1350. Let i be y(-8). Let o = i + j. What is the units digit of o?
9
Suppose y - 5*u = -u - 48, 0 = -y + 2*u - 54. Let r be y/30 + (-3)/((-3)/170). Let j = -98 + r. What is the tens digit of j?
7
Suppose 61*b - 558 = 55*b. Let g = 91 + b. What is the tens digit of g?
8
Let u(t) = -2*t**3 - 45*t**2 - 49*t - 62. What is the ten thousands digit of u(-30)?
1
Let r(g) = -8*g + 8. Let l be r(0). Suppose l*o - 8740 = -15*o. What is the tens digit of o?
8
Suppose 20457 = 10*q + 4267. What is the tens digit of q?
1
What is the ten thousands digit of ((-377522)/(-87))/((-3)/(-9))?
1
Suppose -3*y - 3*t + 7257 = 0, 3*t - 4024 = -2*y + 811. What is the tens digit of y?
2
What is the hundreds digit of 391800/104 + 12/(-39)?
7
Let d(b) = -5*b**2 + 20*b + 33. Let j(k) = -k**2 - k + 1. Let t(i) = -d(i) + 6*j(i). Suppose 42 = -6*p + 4*p. What is the tens digit of t(p)?
7
Suppose -11 + 8 = 3*m. Let h(y) = -129*y**3 + 4*y**2 + 3*y. What is the hundreds digit of h(m)?
1
What is the units digit of 746720/110 + 8/(-22)?
8
Suppose -2*v + 3*i + 32 = 6*i, -5*v = -2*i - 80. Suppose -19*q + v = -15*q. What is the hundreds digit of (27/q - 0)*240/9?
1
Suppose 5*k = t - 45767, 28*k - 91521 = -2*t + 25*k. What is the units digit of t?
2
Let a(i) = -2*i**2 - 12. Let x be a(-3). Let c = x - -32. Suppose 3*d + 4*h - 527 = c*h, 6 = -3*h. What is the hundreds digit of d?
1
Let z(s) = 2*s**3 + 5*s**2 + s - 18. Let i(n) = -n**3 + n**2 + n + 1. Let d(r) = -3*i(r) - z(r). Let g = 16 - 7. What is the tens digit of d(g)?
6
Let t = 30334 - 14542. What is the ten thousands digit of t?
1
Let l(n) be the second derivative of n**5/20 + 4*n**4/3 + 5*n**3/3 + 29*n**2/2 - 21*n - 3. What is the tens digit of l(-13)?
0
Let z(i) = -i**3 - 11*i**2 + 26*i + 18. What is the tens digit of z(-18)?
1
Let k = 223 - 366. Suppose -490 - 402 = -4*j. Let b = j + k. What is the units digit of b?
0
Suppose -13*f + 27335 = -8*f + 3*u, 3*u = 4*f - 21868. What is the hundreds digit of f?
4
What is the ten thousands digit of (-264 + 2)/(3/5)*(-783)/15?
2
Let x(j) be the first derivative of j**4/4 - 4*j**3 + 17*j**2/2 - 11*j + 10. What is the units digit of x(12)?
3
Let f(z) = 9*z - 83. Suppose 0*p + 72 = 2*p. What is the tens digit of f(p)?
4
Let r(u) = -u**2 + 17*u + 25. Let s be (-6)/15*-5*9. Let q be r(s). Suppose 0*p + 1099 = q*p. What is the tens digit of p?
5
Suppose 158*d = 33*d + 354500. What is the units digit of d?
6
Suppose -5*m + 23 = -4*j + 47, -3*j = -4*m - 19. What is the hundreds digit of 36*((-25)/m + 1)?
2
Let y(b) = -4*b**2 - 3*b + b**3 + 2*b**3 + 5*b + 3. Let f(d) = d**2 - 7. Let v be f(-3). What is the tens digit of y(v)?
1
Suppose 159 = 6*x + 429. What is the units digit of 0 - 10*(x/10 + 4)?
5
What is the thousands digit of 2 - (2 - (-1 - (-7611 + (-12)/(-2))))?
7
Let j = 2818 + -2491. Suppose -7 = -3*y + 2*y. Suppose y*p - 1965 = -j. What is the tens digit of p?
3
Let t = -47 - -45. What is the units digit of 3*t/(-18) - 160/(-15)?
1
Suppose 1996*m = 1995*m + 8833. What is the units digit of m?
3
Let s(j) = 9*j**2 - 4*j + 2. Let y(l) = -l**2 - 1. Let d = -39 - -40. Let p(q) = d*s(q) + 5*y(q). What is the units digit of p(5)?
7
Suppose -64*v + 204*v = 4054260. What is the tens digit of v?
5
Suppose -5*j = 0, 3*m = -16*j + 17*j - 18. Let u(p) = -4*p**3 - 8*p**2 - 39*p - 4. What is the tens digit of u(m)?
0
Let d(q) = -2005*q - 43. What is the units digit of d(-5)?
2
Let v = -654 - -15551. What is the tens digit of v?
9
Let b(a) = 9*a**2 - 17*a + 28. Let w be b(9). Let u = -212 + w. What is the units digit of u?
2
Let r(u) = u - 4. Let m be r(8). Suppose 898 - 3463 = -5*i - y, i = m*y + 534. Let c = -328 + i. What is the hundreds digit of c?
1
Let m(k) = -k**2 - 263*k + 51. What is the units digit of m(-26)?
3
Suppose 0 = 4*p + 48 - 64. Suppose 3*q + 1571 = p*r, q - 1182 = -3*r + 2*q. What is the tens digit of r?
9
What is the hundreds digit of 1*(8498 - (-12 + 9))?
5
Suppose 8*z = 1071 - 7. Let o = 34 + z. Suppose q - 120 = 2*c, c = 5*q - o - 442. What is the hundreds digit of q?
1
What is the units digit of ((544/85)/(-32))/(2/(-46910))?
1
Suppose 0 = -8*c + 4*c + 4*f + 600, -2*c + 4*f + 300 = 0. Suppose -4*o + 514 - c = 0. What is the units digit of o?
1
Let i(z) = -340*z - 342. What is the thousands digit of i(-17)?
5
What is the hundreds digit of ((20/(-1))/(-26 - -33))/(36/(-272286))?
6
What is the units digit of (-12)/(-864)*-9 - 200034/(-16)?
2
Suppose 0 = -i - 7*i. Suppose i = 2*u - 5*u + 1293. What is the units digit of u?
1
Let u be (29 + (-2 - -2))/(4/(-1456)). Let s be 1/((14/u)/((-1)/(-2))). Let x = s + 654. What is the tens digit of x?
7
Suppose 4*q = 3*z - 56, -z - z + 34 = -q. Let j be z/(-10)*((-356)/8 + 2). Let o = 210 - j. What is the hundreds digit of o?
1
Let q = 147 - 5. Let m = q - 270. Let v = m - -374. What is the tens digit of v?
4
What is the thousands digit of 238/10 + -24 + -1 + 164116/5?
2
Let a(d) = -665*d + 80. Let n be a(-6). Suppose -4*y + n = 2*j + 686, -4236 = -5*y - j. What is the hundreds digit of y?
8
Suppose 0 = -4*k + m - 1, k + 8 = 2*m + 6. Suppose k = -4*u - 2*f + 2524, -2*f = 2*u + 3*f - 1246. What is the units digit of u?
3
Suppose 3*m - 163028 = -264*d + 260*d, 0 = -5*m + 5*d + 271620. What is the ten thousands digit of m?
5
Let a(d) = d**3 + 32*d**2 - 56*d - 47. Let f = 264 + -297. What is the tens digit of a(f)?
1
What is the units digit of ((-46)/69)/(14/(-704508))?
8
Let s(u) = -52*u**3 - 4*u**2 + 15*u + 4. Let n be s(3). Let r = -676 - n. Let v = r + -463. What is the hundreds digit of v?
2
Let p = 64 - 49. Suppose -2*s + 132 = -5*n, s + p - 81 = -n. Let f = 149 - s. What is the units digit of f?
3
Let d(v) = -9311*v**3 - 10*v**2 - 25*v - 2. What is the units digit of d(-2)?
6
Let b = 65812 + -22364. What is the hundreds digit of b?
4
Let v(z) = -z**3 + 45*z**2 + 29*z + 96. Let u be v(45). Suppose 2*m - u = -711. What is the hundreds digit of m?
3
Let g be 1/(140/(-105)*(-1)/4). Suppose -o + 4*u = -574, -3*u = g - 12. What is the units digit of o?
6
Let j(w) be the third derivative of w**5/60 - 5*w**4/6 - 19*w**3/3 - 16*w**2. Let m be j(22). Suppose -6*c - m = -24. What is the units digit of c?
3
Let z(x) = 8*x**2 - 18*x + 14. Let c be z(4). Suppose 359 + c = i. What is the units digit of i?
9
Let a be (-29)/(3*(-3)/27). Let n = a - 82. What is the units digit of (n/3 - -1)/(7/231)?
8
Let z(r) = 41*r**3 - r**2 - 2*r + 1. Let i be z(2). Suppose 0 = -y + 34 + i. What is the tens digit of y?
5
Let b(n) = -n**2 + 13*n - 2. Let s be b(12). Suppose 5*r = s + 15. What is the hundreds digit of 4*7/(-70) + 677/r?
1
Let u be 7/(21/(-12)) - -36. Suppose 12 - u = 10*l. What is the tens digit of (4/l)/((-4)/56)?
2
Let u(d) = 56*d**2 + 55*d - 14. What is the hundreds digit of u(2)?
3
Let i be (-12)/(-21)*(-11 + 25). Let s = -1 - -15. Suppose s = 2*l - i. What is the tens digit of l?
1
Let m = -1683 + 2612. Suppose 0 = 7*n - 3379 + m. What is the hundreds digit of n?
3
Suppose 4*f - 39065 = -y, f - 2*y + 632 - 10414 = 0. What is the hundreds digit of f?
7
Let r(l) = -279*l + 6479. What is the hundreds digit of r(-72)?
5
Let c(x) = -9*x**3 - x**2 - 10*x - 2. Let r be c(5). Let v = -631 - r. What is the tens digit of v?
7
Let z = -602 - -1543. Suppose -z = -5*o + 4*r, 0*r = -4*o - 2*r + 732. Suppose -j = -o - 39. What is the hundreds digit of j?
2
Suppose 4*s + 139515 + 49256 = 15*s. What is the thousands digit of s?
7
Suppose -56*x = 1137596 + 63
|
{
"pile_set_name": "DM Mathematics"
}
|
e -2*y - l*y + 495 = 0. Calculate the highest common divisor of y and 11.
11
Let l be (-1)/(14/(-6) - -2). Suppose z - 120 = -l*z. Calculate the highest common factor of z and 5.
5
Suppose 0 = 3*k - 19 - 2. Let u = -2 + k. Calculate the highest common factor of 15 and u.
5
Let a(y) = y**3 + 5*y**2 + y + 4. Let r be a(-4). Let k be (6*(-4)/(-60))/(2/240). Calculate the highest common factor of k and r.
16
Let i = 3 - 3. Suppose -g - 7 = -i. Let w be (g/(-3))/(3/9). Calculate the greatest common divisor of w and 7.
7
Let w = 93 + -37. What is the highest common factor of 7 and w?
7
Suppose -v = -4*t - 24, v + 2*t = 3*v - 18. Let h = 8 - v. What is the highest common divisor of h and 12?
4
Let k = 21 - 12. Suppose k*q - 4*q = 295. Suppose 49 = 3*n - q. What is the greatest common divisor of n and 90?
18
Let x = -951 + 1350. Calculate the greatest common divisor of 57 and x.
57
Let y = -21 + 17. Let j be 29 + y*3/(-4). What is the greatest common factor of 4 and j?
4
Let l be (-5)/((-20)/(-12)) + 111. Calculate the highest common divisor of 12 and l.
12
Suppose -t - 2*t + 48 = 0. What is the highest common factor of t and 8?
8
Let f be ((-6)/4)/((-3)/32). Suppose -2*n = n + 5*h - f, 0 = h - 2. Let z be (60/35)/(n/7). What is the highest common factor of z and 18?
6
Suppose 3*k = -0*k + 81. What is the greatest common factor of 18 and k?
9
Let d be (0 - (-27)/1)*7. What is the highest common factor of d and 27?
27
Let l be -2 + 6/4*4. Let y = 2 + l. Let s be 3/(3/2) + 0. Calculate the highest common divisor of s and y.
2
Let v = -108 + 225. What is the greatest common factor of 13 and v?
13
Suppose 7*x = 4*x + 108. Calculate the greatest common divisor of x and 9.
9
Suppose 4*r - 2 = 3*r. Suppose -5*z + 42 = -r*z. Calculate the highest common divisor of z and 98.
14
Suppose -4*w = 4*r - 28, -r - 5*w = 2*r - 31. What is the greatest common factor of 10 and r?
2
Let k(n) = -n**2 - 7*n - 9. Let d be k(-4). Suppose -5*f + f = -12. What is the greatest common factor of d and f?
3
Let v(t) = -t**3 + 9*t**2 - 8*t - 5. Let u be v(6). Let a(r) = -2*r - 7. Let l be a(-6). Calculate the greatest common divisor of l and u.
5
Suppose -3*q = -4*q + 3. Suppose -4*k - 17 + 45 = 0. Suppose 5*t + 4 = -3*r, 3*t + k*r = 2*r - 12. What is the highest common factor of t and q?
1
Suppose -44 = -4*f + 2*f. What is the greatest common factor of f and 33?
11
Let r(g) = -g**3 + 3. Let x be r(0). Suppose 17 = q - x*o, -o + 68 = -q + 5*q. Calculate the greatest common divisor of 68 and q.
17
Suppose -4*p = -2*u + 2, -u + 0*u - 2 = p. Let i be 111 + (p - -2)/(-1). Suppose 7*z + z = 80. What is the greatest common divisor of i and z?
10
Suppose -5*s = -2*s. Suppose s = 2*m - 7*m + 330. Calculate the highest common divisor of 6 and m.
6
Let n(x) = -x. Let u be n(-7). Suppose -5*g - 4*f = -820, u*f + 460 = 3*g + 3*f. What is the greatest common divisor of 16 and g?
16
Let y be (3/(3/(-4)))/(2/(-3)). Calculate the highest common divisor of y and 2.
2
Suppose 0 = -y + 21 - 12. What is the highest common factor of y and 18?
9
Let o be ((-5)/(-10))/(2/1056). Suppose -n = -5*n + o. Calculate the greatest common divisor of 11 and n.
11
Let h = 10 + 4. Suppose g + 3*g - 382 = 2*t, 2*g - 4*t = 176. What is the greatest common divisor of h and g?
14
Let y(k) = -11*k**2 - k. Let s be y(-1). Let u be s/(-5)*(-14)/(-4). Calculate the greatest common factor of u and 28.
7
Suppose -5*c - w + 6*w = -10, 5*w - 15 = 0. Suppose 0 = -c*h + h. Suppose h = -0*t + 5*t - 45. What is the greatest common divisor of 45 and t?
9
Suppose 0 = q - m - 5, 3*q + m - 23 = 2*m. What is the greatest common divisor of 54 and q?
9
Let c(t) = -t**3 - 2*t**2 - 2*t - 5. Let u be c(-4). Let i(p) = -2*p - 3. Let a be i(-4). What is the greatest common factor of u and a?
5
Suppose -7*m = -44 - 691. Calculate the greatest common divisor of 70 and m.
35
Let a be -1 - (3 + (-66 - -2)). Calculate the greatest common divisor of 90 and a.
30
Suppose 2*a - 5*j - 3 = 30, -a + 10 = 4*j. What is the greatest common factor of 7 and a?
7
Suppose 3 + 61 = 4*v. Let o(h) = -h**2 + h + 40. Let j be o(0). Calculate the highest common factor of v and j.
8
Suppose 3*y = -3*m + 78, -2*m + 47 = -y - 2. Calculate the greatest common factor of m and 5.
5
Suppose 4*v = 8*v. Suppose v = 3*k - 12. Let o = 13 - 3. Calculate the highest common divisor of k and o.
2
Suppose -r = -4*r - 6. Let o = r + 14. Suppose o - 7 = g. What is the greatest common divisor of g and 10?
5
Let x = 84 + -29. Suppose 4*p - 26 = 3*y, 3*p - 8 = 2*y + 11. What is the highest common factor of p and x?
5
Let k = -5 + 12. Calculate the greatest common factor of k and 49.
7
Let p = -31 - -135. Let x(t) = -5*t + 6*t + 12 - 4. Let h be x(5). What is the highest common divisor of h and p?
13
Let p be (-364)/(-6) - -2*2/(-6). What is the highest common factor of p and 12?
12
Suppose 422 = 12*g + 134. What is the greatest common factor of 60 and g?
12
Suppose 0 = 4*v + 4, 4*w + 3*v - 6*v = 11. Calculate the highest common divisor of w and 18.
2
Let l = 138 - 129. Let t(v) = v**2 + 2*v + 2. Let r be t(-2). Let i(a) = 8*a**2 + 2*a. Let f be i(r). What is the greatest common divisor of f and l?
9
Suppose -9*f + 95 = -14*f. Let c = f - -26. Calculate the greatest common divisor of c and 28.
7
Let v(w) = -w**2 + w. Let a(l) = 25*l**2 - 4*l + 4. Let d(f) = a(f) + 5*v(f). Let b be d(3). What is the highest common factor of b and 17?
17
Let y = 434 - 307. Suppose 3*t - y = 89. What is the highest common factor of t and 9?
9
Let t be (0 + 8/12)*6. Suppose -t*w + 16 = -2*w. What is the highest common factor of 64 and w?
8
Let d be (6/(-4))/((-1)/2). Suppose -d*q + 61 - 19 = 0. Suppose -2 + q = 3*t. Calculate the highest common factor of t and 2.
2
Suppose -3 = -2*t + 29. Suppose 0*m - t = -m. Suppose 0 = -5*x - 5*u, 0 = -x + u + 4 + 4. What is the greatest common factor of m and x?
4
Let l = -2 + 1. Let u(s) be the second derivative of -16*s**3/3 + 2*s. Let v be u(l). Calculate the highest common divisor of 4 and v.
4
Let t be (-27)/(-12)*(-112)/(-2). Let r(y) = y**3 - 2*y**2 - 5*y + 2. Let s be r(4). Calculate the highest common divisor of t and s.
14
Suppose 3*x - 478 = -127. Suppose 32*j - 37*j + 10 = 0. Let q(d) = d**2 + 5*d - 1. Let g be q(j). What is the greatest common divisor of g and x?
13
Suppose 0 = -0*c - 5*c + 25. Suppose 110 = c*h - 0*h. Calculate the greatest common divisor of 2 and h.
2
Let r(l) = l**3 + 4*l**2 + 2*l - 1. Let a be r(-3). Let s = a + 5. Let c = 1 - 0. What is the greatest common divisor of s and c?
1
Suppose -19*x + 13*x + 12 = 0. Let w be (-16)/(-3)*(2 + 1). What is the highest common divisor of w and x?
2
Let w(q) = 2*q**2 + 7*q - 19. Let t be w(3). Calculate the highest common factor of 80 and t.
20
Suppose 22 = 4*s - 42. Suppose 2*w - 94 = -g - 3*g, -2*g + 44 = 4*w. What is the highest common divisor of s and g?
8
Let y = -24 + 27. Suppose -y*i + 42 = o, 4*o - 128 = -3*i + i. Calculate the highest common factor of o and 3.
3
Let r = -7 + 23. What is the greatest common divisor of 2 and r?
2
Let g = 98 - 189. Let a be (-838)/(-6) - (-1)/3. Let t = g + a. What is the greatest common divisor of t and 7?
7
Let r(x) = -x**2 + x + 4. Let o be r(0). Suppose 5*c - 4*c - o*h - 34 = 0, -3*h - 36 = -c. Calculate the greatest common divisor of 28 and c.
14
Let i be 2211/21 + 6/(-21). Suppose 2*r = 3*r - 15. What is the greatest common factor of r and i?
15
Let h(p) = -p**3 + 6*p**2 + 2*p - 3. Let x be h(6). Let g = -5 + x. Calculate the greatest common factor of 36 and g.
4
Suppose 4*t + 4*g + 4 = 0, t + 2*g = -3*t + 4. Suppose h - 3*f + 83 = t*h, 3*h - 124 = -4*f. Let p = 56 - h. Calculate the greatest common divisor of 40 and p.
8
Let i(x) = x**3 + 6*x**2 - 7. Let q be i(-5). Let k be (-2)/8 + q/8. Calculate the highest common factor of 4 and k.
2
Suppose 10 = -k + 5*a, -4*k = -k + a - 2. Suppose -3*v + 51 + 81 = k. Calculate the greatest common divisor of 22 and v.
22
Let r = -12 - -6. Let a be (5*1)/(r/12). Let q be (-6)/a - 28/(-20). What is the highest common factor of 2 and q?
2
Let t(r) = 95*r - 3. Let s be t(2). Calculate the greatest common divisor of 17 and s.
17
Suppose -2 = -4*c + 2. Let d be (c/3)/1*42. What is the greatest common divisor of d and 7
|
{
"pile_set_name": "DM Mathematics"
}
|
h - 1. Determine -c(y) + 2*f(y).
10*y**3 + 5*y + 1
Let i(b) = 10*b**2 - 9*b. Let f be (-2)/(-6)*-1 + 1590/18. Let g = -82 + f. Let m(c) = -9*c**2 + 8*c. Give g*i(q) + 7*m(q).
-3*q**2 + 2*q
Let j = 6 + -23. Let i(r) = -2*r + 5*r**2 + 2*r + 2*r - r + 8. Let b(p) = -14*p**2 - 3*p - 23. What is j*i(k) - 6*b(k)?
-k**2 + k + 2
Suppose 485 - 1547 = -9*i. Let s(b) = -40*b - 40*b + i*b - 3 - 34*b. Let p(o) = -4*o + 4. Calculate -2*p(d) - 3*s(d).
-4*d + 1
Let m(a) = -a**2 - 3*a. Let c(q) = 8*q - 7*q - q**2 - 3*q. Suppose -10*d = -6*d - 16. What is d*m(s) - 7*c(s)?
3*s**2 + 2*s
Let v(k) = 9*k + 30. Let o(u) = -11*u - 36. Let n(c) = 5*o(c) + 6*v(c). Let a(d) = -39*d. Calculate -a(t) + 52*n(t).
-13*t
Let w(s) = -5*s**2 + 6*s + 27. Let h(u) = 21*u**2 - 26*u - 109. Determine -2*h(r) - 9*w(r).
3*r**2 - 2*r - 25
Let y(w) = -4*w + 8. Let r(z) = -z + 1. Suppose 2*s + 0 = 14. Let l be 6/(-14) + 10/s. What is l*y(p) - 8*r(p)?
4*p
Let l(s) = 4*s**2 + 9*s - 190. Let w(j) = -5*j**2 - 10*j + 191. Give 6*l(z) + 5*w(z).
-z**2 + 4*z - 185
Let b(i) = -i**2 + 6*i + 5. Let p(j) = -j**3 - j**2 + 2*j + 1. Let f be p(-3). Let m = 9 - f. Let v(t) = 5*t - 4 - 5 + 3 - t**2 + 10. What is m*b(z) + 5*v(z)?
-z**2 + z
Let f(s) be the third derivative of s**5/12 - s**4/4 - s**3/6 + 128*s**2. Let d(q) = -4*q**2 + 5*q + 1. Give -4*d(c) - 3*f(c).
c**2 - 2*c - 1
Let s be 3*4/42 - 1548/126. Let p be ((s/(-9))/(-1))/(6/(-9)). Let n(f) be the first derivative of 2*f**2 + 3*f + 2. Let z(t) = -t - 1. What is p*n(k) + 7*z(k)?
k - 1
Let y(q) = -93*q - 2. Let t(w) = -w + 3. Give -2*t(p) - y(p).
95*p - 4
Let t(g) = 11*g**3 - 3*g**2 - 3*g - 3. Let m(z) be the first derivative of -14*z**4 + 16*z**3/3 + 8*z**2 + 16*z - 163. Determine -3*m(i) - 16*t(i).
-8*i**3
Let t(x) = 15*x**2 + 19*x - 30. Let z(a) = 4*a**2 + 5*a - 8. Determine -6*t(o) + 22*z(o).
-2*o**2 - 4*o + 4
Let f(p) = 60931*p**2 + 545*p - 545. Let g(w) = -224*w**2 - 2*w + 2. Determine -2*f(a) - 545*g(a).
218*a**2
Let m(j) = -17*j**2 + 601. Let w(l) = -14*l**2 + 600. Give -5*m(s) + 6*w(s).
s**2 + 595
Let q(z) = -59*z**2 + 22*z - 44. Let f(v) = 12*v**2 - 4*v + 9. What is -11*f(m) - 2*q(m)?
-14*m**2 - 11
Let t be (5/(-2) + 4)*-4. Let r(p) = p**2 + p - 1. Let f(v) = 2*v**3 + 3*v**2 + 3*v - 3. Determine t*r(h) + 2*f(h).
4*h**3
Let o(h) = 2*h**2 - 4*h - 1. Let t = 222 + -226. Let n(g) = 5*g**2 - 9*g - 2. Calculate t*n(a) + 9*o(a).
-2*a**2 - 1
Let c(l) = -14*l + 14. Let u(q) = 17*q - 14. Calculate -4*c(p) - 3*u(p).
5*p - 14
Suppose 0 = 7*v - 5*v - 4*j - 2, v = -3*j - 14. Let f(l) = 13*l**3 - 2*l**2 - 7. Let g(o) = 9*o**3 - o**2 - 5. Determine v*f(r) + 7*g(r).
-2*r**3 + 3*r**2
Let j(d) = -3. Let p(m) = -m - 18 + 26 - 4. Determine 6*j(y) + 4*p(y).
-4*y - 2
Let k(c) = 5*c**2 + 6*c + 2. Let z(j) = 8 - 6 + 768*j**2 + 5*j - 764*j**2. Let h = 5 + 2. Give h*z(d) - 6*k(d).
-2*d**2 - d + 2
Let p(c) = -3*c - 1. Let k(u) = -51*u - 24. What is -k(z) + 18*p(z)?
-3*z + 6
Let u(n) = n**2 + 2. Let r(l) = -5*l**2 + 63*l - 6. Give r(m) + 4*u(m).
-m**2 + 63*m + 2
Let s(b) = -20*b + 8. Let j(c) = -13*c + 5. Suppose -3*y + 6 = -3*o, 4*o + 6*y = 4*y - 26. Calculate o*s(f) + 8*j(f).
-4*f
Let h(u) = u + 1. Suppose 13*v + 74 = 10*v - 5*j, -28 = 2*v - 2*j. Let y(x) = -4*x - 5. Calculate v*h(l) - 4*y(l).
-2*l + 2
Let p(k) = 7*k**2 - 12. Let i(l) be the second derivative of -l**4/4 + 3*l**2 + 41*l + 1. Determine 5*i(v) + 2*p(v).
-v**2 + 6
Let a(k) = k**2 - k. Let b(s) = 3*s**2 - 67*s. Give -2*a(z) + b(z).
z**2 - 65*z
Let c(z) = -17*z**2 + 13*z + 13. Let o = 323 + -329. Let d(s) = 9*s**2 - 6*s - 6. Give o*c(m) - 13*d(m).
-15*m**2
Let l = -660 - -655. Let s(h) be the first derivative of -5*h**3/3 - 3*h**2 + 2*h + 1. Let y(r) = 3*r**2 + 4*r - 1. What is l*s(d) - 8*y(d)?
d**2 - 2*d - 2
Let x(u) = -3*u**3 + 15*u + 10. Let g(o) = 2*o**3 - 13*o - 12. Calculate -5*g(y) - 4*x(y).
2*y**3 + 5*y + 20
Let b(k) = -k - 3. Let w(t) be the second derivative of t**3/6 + t**2 - 59*t. Calculate -4*b(g) - 6*w(g).
-2*g
Let z(f) = 2 - 10*f - f + 1. Suppose 4*x = -x + 25. Let j(k) be the third derivative of 7*k**4/24 - k**3/3 + k**2 - 4933*k. Calculate x*z(o) + 8*j(o).
o - 1
Let a = -554 - -539. Let p(g) = 85*g**3 + 15*g - 15. Let r(d) = 12*d**3 + 2*d - 2. Give a*r(j) + 2*p(j).
-10*j**3
Let w(g) = -171*g - 14*g**2 + 2 - 156*g + 325*g. Let a(z) = -15*z**2 - 3*z + 3. Determine 2*a(f) - 3*w(f).
12*f**2
Let s(m) = -4. Let n(j) = j - 1. What is -3*n(b) - s(b)?
-3*b + 7
Let w(t) = 5*t**2 + 2*t. Let j(l) = -8*l**2 - 5*l + 1. Let a(p) = -3*j(p) - 5*w(p). Let b(q) = q - 1. Determine a(c) - 5*b(c).
-c**2 + 2
Let v(n) = 2*n**3 - 3*n**2 + 14*n. Let p(h) = -h**2 + 4*h. Calculate 14*p(d) - 4*v(d).
-8*d**3 - 2*d**2
Let n = 201 + -203. Let l(t) = -3*t. Let b(h) = -h. Determine n*b(x) - l(x).
5*x
Let g(o) = -7*o**3 + 14*o + 11. Let n(z) = -2*z**2 + 4 + 3*z**2 - z**2 - 538*z**3 + 5*z + 536*z**3. Give -4*g(t) + 11*n(t).
6*t**3 - t
Let l(j) = -2*j - 11. Suppose 30 = -w - 4*s, 0 = -2*w + 5*w - 2*s + 34. Let d be l(w). Let m(a) = -10 + 10 - d*a. Let r(b) = -4*b. Give 6*m(y) - 26*r(y).
2*y
Let k(l) = -28*l**3 - 11*l**2 - 65*l - 16. Let z(f) = -6*f**3 - 2*f**2 - 13*f - 3. What is 2*k(w) - 11*z(w)?
10*w**3 + 13*w + 1
Let v(u) = -5*u**3 + 25*u**2 + 12*u + 3. Let f(w) = 14*w**3 - 76*w**2 - 32*w - 8. What is -3*f(x) - 8*v(x)?
-2*x**3 + 28*x**2
Suppose 12*z + 5*s - 24 = 13*z, 8 = 2*s. Let g(w) = 3*w**2 - 5*w + 5. Let a(j) = -2*j**2 + 4*j - 4. Give z*g(b) - 5*a(b).
-2*b**2
Let l = -11 + 0. Let k(n) = -2*n - 27. Let j be k(l). Let c(a) = -a**2 - 4. Let g(x) = -x**2 - 5. Calculate j*c(s) + 4*g(s).
s**2
Let c(s) = 157*s + 2. Let n(r) = -78*r - 1. Determine -3*c(f) - 7*n(f).
75*f + 1
Suppose 2*z = -0 + 4. Let o be (z + -3)*-1*1. Let t(x) = x. Let p(l) = 44*l + 8. Let b(g) = 10*g + 2. Let q(d) = 4*b(d) - p(d). Determine o*q(h) + 5*t(h).
h
Suppose -11*f + 8*f = 2*q + 22, 0 = 4*f - 2*q + 6. Let j(w) = -8*w**3. Let l(z) be the third derivative of 3*z**6/40 - z**2. Calculate f*l(o) - 5*j(o).
4*o**3
Let c(y) = 5*y**2 - 4*y**2 + 0*y**2 - 953*y + 954*y. Let u(k) = k - 2. Give -3*c(v) + u(v).
-3*v**2 - 2*v - 2
Let a(m) = -m + 1. Let v(j) = -32*j + 10. Let x(w) = 13*w - 4. Let z(l) = 5*v(l) + 12*x(l). Give 6*a(b) - 2*z(b).
2*b + 2
Let d(v) = 4*v - 2. Let i = -37 + 48. Suppose i - 7 = -2*s. Let l(w) = 3*w - 1. What is s*d(u) + 3*l(u)?
u + 1
Let c(q) = 18*q**3 - 36*q**2 + 36. Let b(k) = -k**3 + k**2 - 1. Suppose 3*x - 120 = -123. Give x*c(r) - 36*b(r).
18*r**3
Let f(t) = -11*t**3 - 9*t**2 - t + 3. Let w(j) = -8*j**3 - 8*j**2 - j + 2. Give 3*f(g) - 4*w(g).
-g**3 + 5*g**2 + g + 1
Let y(a) = -2*a - 81 + 42 + 46. Let o(x) be the third derivative of -x**4/24 + x**3/2 + 21*x**2. Determine -9*o(f) + 4*y(f).
f + 1
Let n(v) = -5*v**3 + 10*v. Let i(g) = -g**3 + g. Suppose -23*u = -8*u + 15. Determine u*n(r) + 10*i(r).
-5*r**3
Let r(t) = 3*t**3 + t**2 + t - 5. Let k(h) = 4*h**3 + h**2 + h - 6. Suppose 17*a - 13*a = n - 5, -2*a + 25 = 5*n. What is n*k(o) - 6*r(o)?
2*o**3 - o**2 - o
Let x(n) = -3*n**3 + 5*n**2 - 4*n - 6. Let y(i) = -6*i**3 + 9*i**2 - 7*i - 11. Give -11*x(a) + 6*y(a).
-3*a**3 - a**2 + 2*a
Let d(n) = 421*n**3 - 6. Let r(w) = 59360*w**3 - 848. Calculate 424*d(c) - 3*r(c).
424*c**3
Let d(n) = -2*n**2 + 2*n + 1. Let h(x) = x**3 + x**2 + 132. Let l be h(0). Let m(s) = -4*s**2 - 2*s + 134 + 6*s - l. Give -11*d(o) + 6*m(o).
-2*o**2 + 2*o + 1
Let z(w) = w**2 - 2. Let g be 3 - 4 - 1 - -4. Let n be (70 - -2)/(-6)*18/8. Let j(x) = 12*x**2 - 27. What is g*j(a) + n*z(a)?
-3*a**2
Let m(g) = 9*g**2 + 2*g - 4. Let s(h) = -35*h**2 - 9*h + 16. Determine -9*m(o) - 2*s(o).
-11*o**2 + 4
Let g(o) be the first derivative of 1/3*o**3 + 18 + 0*o**2 + 0*o. Let h(v) = 2*v**2 + v. Give 4*g(s) - h(s).
2*s**2 - s
Let l(p) = -15*p**2 - 43*p + 6. Let d(t) = -3*t**2 - 8*t + 1. Calculate 11*d(z) - 2*l(z).
-3*z**2 - 2*z - 1
Let t(z) = -9*z**2 - 7*z - 1. Let s(o) = o**2 + o. Calculate -5*s(y) - t(y).
4*y**2 + 2*y + 1
Let i(b) = -1. Let g(m) = m**2 + m. Let a be g(-2). Let h(t) = 2*t - a - 5 + 2 + 3. Calculate h(z) - 5*i(z).
2*z + 3
Let g(n) = -4*n**3 + 5*n - 6. Let l(f) = f**2 - 9*f + 13. Let x be l(8). Suppose -x - 2 = -p. Let z(a) = 8*a**3 - 9*a + 11. Determine p*g(q) + 4*z(q).
4*q**3 - q + 2
Let s be (-72)/(-45) + (-34)/(-10). Let n(a) = -4*a + 2. Let x(v) = -v**2 - 7*v
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-1/3
What is the closest to 1.53 in -0.2, 7, -3?
-0.2
Which is the nearest to 2.1? (a) 2 (b) 4 (c) -3
a
Which is the nearest to -93? (a) -0.4 (b) 4 (c) -3
c
Which is the closest to 2/7? (a) -4 (b) 0 (c) 15 (d) -2/85
b
Which is the nearest to -2/3? (a) 4/39 (b) -2/15 (c) -2/5
c
Which is the closest to -4? (a) 0.1 (b) -0.0412 (c) -5 (d) -4
d
What is the nearest to 2 in -4, 1, 4/11?
1
What is the nearest to 7 in 16/5, -5, -0.4, 0.5?
16/5
Which is the nearest to -48? (a) -2 (b) 6 (c) -0.3 (d) 0.5
a
What is the nearest to -0.2 in -0.5, -2, -8/81, -1/3?
-8/81
What is the nearest to 2 in 2/5, 3, -2/11, -2?
3
What is the closest to 2/13 in -0.5, -1/3, -4, 1/3?
1/3
What is the nearest to -1 in -0.36, -2, -1/27?
-0.36
What is the closest to 1 in 0, 0.4, -1.7, 3?
0.4
What is the nearest to 8 in -10, 3, -1?
3
What is the closest to 0.1 in -1/8, -2/115, -3?
-2/115
Which is the nearest to 1/2? (a) -86 (b) 17/2 (c) 4 (d) -0.4
d
What is the nearest to 0 in 5, 0, 1, -108?
0
Which is the nearest to 0.1? (a) 3 (b) 1/8 (c) 21 (d) -2/3
b
What is the nearest to -0.14 in -0.062, -1, 5?
-0.062
Which is the closest to 25? (a) -1 (b) -1/5 (c) 0
c
What is the nearest to 2/9 in -0.4, 0.2, 10/9?
0.2
What is the closest to 2/17 in 0.5, 2/3, 0, -4?
0
Which is the closest to 0.18? (a) 3/5 (b) -1.2 (c) -0.06
c
What is the closest to -0.3 in 0.5, -3, -1/6?
-1/6
What is the nearest to -1/5 in 3/7, 0.4, -4/3?
0.4
Which is the closest to 2/3? (a) -3 (b) 2/5 (c) 2/21
b
What is the closest to 0 in -2, 1.8, 0.1, 1/2?
0.1
What is the nearest to 0.1 in -0.7, 1/5, -2/19, -2/25?
1/5
What is the nearest to 8 in 0, 1, -1/4, -2/7?
1
What is the nearest to -1 in 2, -3, 0.01, -2/9?
-2/9
What is the closest to -12 in 0.2, 2, 6?
0.2
Which is the closest to -2/31? (a) -4 (b) 4 (c) -3/4
c
Which is the nearest to -0.2? (a) -0.2 (b) -0.5 (c) 97
a
Which is the closest to -1/4? (a) 1 (b) 71 (c) 3 (d) 5
a
What is the nearest to -0.2 in 4, -0.36, 2, -0.1?
-0.1
What is the nearest to -2 in 3/2, -6/7, 2/3?
-6/7
Which is the closest to 2? (a) 0.02 (b) 1/3 (c) -2 (d) -4
b
Which is the closest to 2/7? (a) -4 (b) 2/19 (c) 0.2
c
What is the nearest to 0 in 1/5, -2/3, 0.3, 1?
1/5
Which is the closest to -2.2? (a) -2/15 (b) -5 (c) 0.26 (d) 0.3
a
Which is the nearest to -2/7? (a) -1 (b) -8.3 (c) -0.4
c
What is the closest to 1 in 5, 0.4, 2, 1/7?
0.4
Which is the nearest to -1? (a) 0 (b) -2/31 (c) -9 (d) -0.01
b
What is the nearest to 4/5 in -3, -0.3, 2/15?
2/15
What is the nearest to -0.1 in -0.2, 3/7, -1, -3?
-0.2
What is the closest to -0.12 in -3/2, 1/3, -2?
1/3
What is the closest to 1 in -2/3, -1/51, 1/2?
1/2
Which is the closest to 4/5? (a) 1 (b) -2/7 (c) -1/5
a
What is the closest to 1/2 in -9/5, -4, -6?
-9/5
Which is the nearest to -143? (a) -5 (b) -0.3 (c) -4
a
Which is the nearest to 0? (a) 0.92 (b) -2/15 (c) 4/3 (d) 1
b
What is the nearest to -0.1 in -0.1, -22, 5/3?
-0.1
What is the closest to -3 in 0.1, -2/67, 1/6, -0.1?
-0.1
Which is the closest to -2? (a) 0.022 (b) -0.1 (c) -15
b
What is the nearest to 35 in 3, -5, 1.5, 2/15?
3
What is the nearest to 0.8 in -2/11, 0, -0.1?
0
Which is the closest to 2.7? (a) -4 (b) 0.5 (c) -1/9
b
What is the nearest to 15 in 3/5, 5, -5, 3/4?
5
What is the nearest to -2 in -0.14, -4/7, 0?
-4/7
Which is the closest to -1? (a) 2 (b) 2/5 (c) 3/5 (d) 1
b
Which is the closest to -2? (a) 3/2 (b) -2 (c) 2/219 (d) -0.4
b
What is the nearest to -0.2 in -0.4, -2, -5, -25/7?
-0.4
What is the closest to -0.1 in 1, -2/13, 0.1, -4?
-2/13
What is the closest to -0.055 in 0, 2/9, -2/9, 1?
0
Which is the closest to 11/6? (a) 14/11 (b) 0 (c) 4/5
a
What is the closest to 2/3 in -5, -11, -1/4, 5?
-1/4
Which is the closest to 1/2? (a) -1/3 (b) -7/2 (c) 0.4 (d) 3/2
c
What is the closest to -19 in 0, 5, -33?
-33
Which is the closest to 1032? (a) -1/3 (b) -0.3 (c) 2/3
c
What is the nearest to -34 in -2, 0.07, 5, 2?
-2
Which is the nearest to -0.1? (a) 0.4 (b) 0.2165 (c) 0.3
b
Which is the closest to -2? (a) -56 (b) -9 (c) 0.3
c
Which is the closest to -1? (a) 11 (b) -1/10 (c) 4 (d) 3/8
b
What is the closest to 2 in -1/5, 1/6, 5, 4?
1/6
What is the closest to 14 in 8/3, 7, 2?
7
Which is the closest to 1/2? (a) 4 (b) 15/7 (c) -0.2
c
Which is the nearest to 1.37? (a) 1 (b) -2/9 (c) 5/4 (d) -1/4
c
Which is the closest to -1? (a) -3 (b) -3/2 (c) 29 (d) 2
b
Which is the closest to 0.03? (a) 4 (b) -2 (c) -0.5
c
What is the nearest to -1 in -2/13, 50, 0.5, -5?
-2/13
Which is the closest to -2/5? (a) -5 (b) -0.23 (c) 3 (d) -1
b
What is the closest to -8 in 14/11, -0.4, -1?
-1
What is the closest to 60 in 1, 2/7, -0.5, 1/6?
1
What is the closest to 0 in 3, -30, 0.3?
0.3
What is the nearest to -8/7 in -1/2, 1, 4/3, 0?
-1/2
Which is the nearest to 13? (a) 0 (b) -0.1 (c) 4
c
What is the nearest to -0.8 in 0.03, -1, 4, -0.3?
-1
Which is the nearest to 40? (a) -0.1 (b) -4 (c) 0.2 (d) 4
d
What is the closest to -0.042 in -1, -2/113, 1/4?
-2/113
Which is the closest to -2? (a) -1 (b) 1.8 (c) 4
a
What is the nearest to 2/9 in -2/343, -3/2, 1?
-2/343
What is the nearest to -96 in 0.2, 2/7, 5, 2?
0.2
Which is the nearest to 0.4? (a) -1 (b) -1/2 (c) 0.4
c
Which is the closest to 25/2? (a) 38 (b) 4/5 (c) -1/3
b
Which is the closest to 0.1? (a) 4 (b) 0.01 (c) 3
b
Which is the closest to 1/7? (a) 6 (b) 2 (c) -2/13 (d) 4
c
What is the closest to 0.1 in 3/397, 1, -2/11, -7?
3/397
Which is the nearest to -12/35? (a) 0.5 (b) 17/3 (c) -5
a
What is the closest to 13/11 in -0.3, -2, 2, -3/2?
2
What is the closest to 1 in 0.1, 5, -0.13, 2?
0.1
Which is the closest to 0.4? (a) 0.3 (b) 0.4 (c) -5 (d) -2/3
b
What is the closest to -2/3 in 0.6, -0.5, 0.4, -0.1?
-0.5
Which is the closest to -1? (a) 16 (b) -5 (c) 1/2 (d) 0.3
d
What is the nearest to -0.1 in 48/37, 2/13, -4, 0.5?
2/13
Which is the nearest to -0.05? (a) -0.3 (b) 2 (c) 0.3 (d) 3
a
What is the nearest to 1/2 in 253, 2/5, 7, -0.3?
2/5
Which is the nearest to -5.1? (a) -1/6 (b) -1 (c) 2 (d) -4
d
What is the nearest to -3 in 34, 1/11, 0.5?
1/11
What is the nearest to -0.03 in 0, 11, 1?
0
Which is the closest to 1? (a) 1 (b) 2/5 (c) 1080
a
Which is the nearest to 1? (a) 3 (b) 9 (c) -0.4 (d) -1/4
d
What is the closest to 1 in -1/4, -4, -0.66, 2?
2
Which is the nearest to -2/5? (a) -1/12 (b) 0.5 (c) 1/5 (d) -3
a
Which is the nearest to 2? (a) 13 (b) 1 (c) -3
b
What is the nearest to 0.1 in -1, 0.28, 1?
0.28
Which is the nearest to 2.1? (a) -1/2 (b) -17 (c) -3 (d) -1
a
What is the closest to 0 in 36, 0.4, -5, -3/5?
0.4
What is the nearest to 1 in -0.9, -3, 3, 1?
1
Which is the nearest to -0.2? (a) -5 (b) -19 (c) -0.2 (d) 1
c
What is the closest to -1/103 in 3/5, -2/7, 2/3, -4?
-2/7
Which is the nearest to 2/7? (a) 1 (b) 2 (c) 2/5
c
What is the closest to -3 in -4, -5, 133?
-4
What is the closest to 0 in -13, 3, 1?
1
What is the closest to 1 in -4/5, 0.5, -3/8, 10?
0.5
What is the closest to -10/11 in -0.06, 0.1, 1/3, -5?
-0.06
Which is the nearest to -11? (a) 2 (b) -5 (c) 4 (d) -2
b
Which is the nearest to 0.7? (a) 0 (b) 5 (c) 0.4
c
Which is the closest to 7? (a) 0.2 (b) 5 (c) 37
b
What is the closest to 0.1 in 0.4, 4, 3/5, 0.5?
0.4
Which is the closest to -0.2? (a) -2/13 (b) -0.5 (c) 85
a
What is the nearest to 0 in 0.003, -3, 1?
0.003
Which is the nearest to 0.2? (a) 0.5 (b) -2 (c) -4/163 (d) -0.2
c
Which is the closest to -2? (a) -9/2 (b) 3 (c) -2
c
What is the nearest to 0 in 0, 0.2, -1, 4/7?
0
What is the closest to -166 in 3, 0.3, -3?
-3
What is the closest to -3 in -33, 0.5, 4?
0.5
Which is the closest to -236? (a) -0.2 (b) 0.2 (c) 5
a
Which is the nearest to 35? (a) -2 (b) 0.4 (c) 1
c
Which is the nearest to 3? (a) 3 (b) 0.5 (c) 4 (d) 54
a
What is the closest to 2/3 in -2, 493, 1?
1
Which is the closest to 2/3? (a) 2/19 (b) -5 (c) -33 (d) 7
a
What is the closest to -2 in 1, 3/7, -4, 0.5?
-4
What is the closest to -2/7 in -4/3, 1, -3, 0.25?
0.25
Which is the nearest to -2? (a) -3.6 (b) -0.9 (c) -1
c
What is the nearest to 1 in -2, 5, -0.4, -13/2?
-0.4
What is the closest to 0.2 in 11, 1/2, 2, -1/3?
1/2
Which is the nearest to -4?
|
{
"pile_set_name": "DM Mathematics"
}
|
= -g**3 - g - 1. Let c(d) be the first derivative of d**4/4 + d**3 + 3*d**2 + 6*d + 32. Let s(z) = c(z) + 2*o(z). Give s(5).
-26
Let i(z) be the second derivative of z**5/20 - z**4/3 + 3*z**2/2 + 15*z. Give i(3).
-6
Let h(w) = 5*w + 15. Let f(s) = -4 - 5*s + 18 + 9*s. Let r(g) = 4*f(g) - 3*h(g). Let p be r(-7). Let l(q) = 2*q - 4. Calculate l(p).
4
Let d(c) = 10*c**3 + c**2. Suppose -5*t + 5 = 4*b - 4*t, -5*b + 5*t = 0. Determine d(b).
11
Let s(a) = -5*a - 8 + 42*a - 36*a. Calculate s(7).
-1
Let c(s) = s**2 - 9*s + 9. Let r(n) = n**2 - 2*n + 4. Let d be r(2). Let z be 1/(-2) - (-34)/4. Let m be (d/1)/(z/12). Determine c(m).
-9
Let f(i) be the third derivative of -7*i**4/12 - 11*i**3/2 + 10*i**2 - 35*i. What is f(-2)?
-5
Suppose -44 + 38 = -6*f. Suppose -3*z = -2*d + d - 4, -d = -4*z + 7. Let q(i) = z - 1 - i**3 - f + 0 + i. What is q(2)?
-5
Let h(p) be the second derivative of -p**3 + 11*p**2 + 51*p. Let i be h(3). Let q(a) = -a**3 + 5*a**2 - 3*a - 4. Determine q(i).
0
Let b be (4 + -1)*(1 - (-5)/15). Let v(c) = 160*c - 1 + b - 161*c. What is v(5)?
-2
Let p(s) = s - 1. Let l(h) = -h - 5 + 2 - 11 + 4*h. Let g be l(6). Suppose 15 = 2*z + 3*z + 5*a, 2*z = g*a - 18. Give p(z).
-2
Let l(h) = h - 3. Let a be -7 - (-22 + 5) - 1. What is l(a)?
6
Let l(x) = -2*x**2 + 60*x - 362. Let z be l(22). Let t(y) = -y**3 - 9*y**2 + 9*y - 8. Give t(z).
2
Let d(q) = -q**3 - 4*q**2 - q + 3. Let x be (0 - 6)*(-5)/6. Suppose 0*t - 2*t = -x*v - 2, -t = 3*v + 10. Calculate d(t).
7
Let h(b) = b**2 - 15*b - 22. Let j be 362/22 + (-132)/(-242). Determine h(j).
12
Let n be 6/(-4)*48/18. Let a(p) be the third derivative of -p**4/24 - p**3/6 + 21*p**2. What is a(n)?
3
Let o(c) = 4*c**2 + 2*c - 1. Suppose -2*f - f - 9 = 0. Calculate o(f).
29
Let f(g) be the first derivative of 3 - g**2 - 1/4*g**4 + 5/3*g**3 - g. Let x = 26 + -22. Calculate f(x).
7
Let m(a) be the second derivative of a**5/20 - 5*a**4/12 - a**3/3 + a + 21. What is m(3)?
-24
Let b(o) = -5*o**2 - 58*o - 26. Let f be b(-11). Let w(z) = -z + 8. Determine w(f).
1
Suppose -5*g + 4 = -c, g + 0 = -c - 4. Let a = c + 10. Let p(k) be the first derivative of -k**3/3 + 3*k**2 - 7*k + 983. Calculate p(a).
-7
Let t(o) = 3 + 4 + 9*o - 4*o**3 - 2 + 5*o**3 + 10*o**2. Let y be t(-9). Let d(f) = f - 4. Calculate d(y).
1
Let x(s) = 13*s - 1. Let p be (-12)/18 - 15/(-9). Give x(p).
12
Suppose -3*h = 3*f + 3, 2*f - 11 = h - 1. Let j(b) = -b**f + 4*b**2 - 4*b**2 + 5 + 5*b**2 - 6*b. Let i(g) = g**2 + 25*g + 70. Let v be i(-22). Determine j(v).
-3
Let y(l) be the third derivative of -l**7/5040 - l**6/120 - l**5/4 + 2*l**2. Let s(x) be the third derivative of y(x). Determine s(-8).
2
Let b(w) = w**2 + 7*w + 16. Let g be -15*(-4 + (-104)/(-24)). Calculate b(g).
6
Suppose -2*o - 16 = -3*o. Suppose 14*r - 3*r - 22 = 0. Suppose -o = r*c + 2*c. Let y(h) = -h**3 - 3*h**2 + 2*h - 1. What is y(c)?
7
Suppose -7*f + 6*f = 0. Suppose -3*w + 8*w - 5 = f. Let l(j) = 4*j**2 - 3*j**2 + j - 2*j. Give l(w).
0
Let m(j) = 2*j**2 + 3*j - 3. Suppose -5*a - 466 = 4*x, 3*a = 5*a + 5*x + 183. Let n = a + 91. Calculate m(n).
6
Let l(d) = 11*d**2 - 3*d - 4. Let r(z) = 8*z**2 - 5*z - 4. Let u(s) = 3*l(s) - 4*r(s). Give u(-11).
4
Let i = 64 - 62. Let z(g) = g**2 - 3*g + 2. Let q be z(3). Let v = q + i. Let p(b) = b**2 - 6*b + 2. Determine p(v).
-6
Let t(m) be the first derivative of 2 - m + 1/3*m**3 - 2*m**2. Suppose 26 - 9 + 17 = 17*s. Calculate t(s).
-5
Suppose 2*m = 5 + 229. Let a be m/45 - 4/(-10). Let d(l) = -a + 5*l - 3 + 5. Determine d(-1).
-6
Let x(u) = u**3 - 9*u**2 - 5*u - 5. Let o(z) = 6*z**3 - 45*z**2 - 25*z - 23. Let a(l) = 2*o(l) - 11*x(l). Determine a(-8).
33
Let m(a) = -a**2 + 3*a - 4. Let j = 30 + -27. Suppose -30 + 36 = j*p. Suppose v = -p*v + 9. Calculate m(v).
-4
Let b(a) = -a**2 - 11*a - 8. Let l(h) = h + 1. Let g(q) = -b(q) - 6*l(q). Give g(-3).
-4
Let u(c) = 4*c + 2. Let p(a) = 3*a + 1. Let f(k) = 5*p(k) - 4*u(k). Determine f(0).
-3
Let l(a) = -a**2 + 2*a + 13. Let s be 8/16*-2*-6. Determine l(s).
-11
Let k be 1/(-2 + 1) + 0. Let j(d) = 17*d - 18*d - d**2 - 3 + 2 + 2. Let y(a) = -a**2 + a - 5. Let v(h) = k*y(h) + 2*j(h). What is v(-5)?
-3
Suppose -4*b + 3*t + 3 = -28, 0 = -4*b + t + 21. Let o(r) = 4*r + 5. What is o(b)?
21
Let v(l) = l**2 + 7*l + 8. Let w(i) = -5*i**2 - 29*i - 31. Let a(n) = -9*v(n) - 2*w(n). Let s be (-6)/4*140/(-30). Determine a(s).
4
Let r(j) = j**3 + 5*j**2 - 7*j + 2. Suppose 0 = -29*q - 243 + 69. Determine r(q).
8
Let c(f) = -f**3 - 11*f**2 + 1. Let d be c(-11). Suppose -d + 7 = 2*g. Suppose 10 = 8*o - g*o. Let z(u) = 2*u + 2. Determine z(o).
6
Let s(o) = 7*o**3 + 6*o**2 - 2. Let v = 23 - 12. Let j(c) = 13*c**3 + 11*c**2 - 5. Let t(q) = v*s(q) - 6*j(q). Give t(0).
8
Let s(l) = -3*l - 4. Suppose -11*p = 8 + 25. What is s(p)?
5
Let f(t) = -t**3 + 2*t**2 + 3*t - 3. Let v be f(3). Let h(k) = -12*k - 1. Give h(v).
35
Let c(k) = -k + 1. Let w = 29 - 17. Suppose -3*q + 2*d - 4 = 0, -5*q - 10*d = -12*d + w. Calculate c(q).
5
Let y = -26 + 68. Let a be 98/y - 1/3. Let h(s) = 5*s**a - s - 2 - 3*s**2 - s**2. What is h(3)?
4
Let u(g) = -2*g + 7. Let r be u(6). Let c(n) = n**3 + 15*n**2 - 15*n + 20. Let v be c(-16). Let a(s) = 12*s - 5 + s**2 + v - 5*s + 0. Give a(r).
-11
Suppose 6*c - c = 0. Let s(o) = o**2 - 66*o + 152*o + 8 - 85*o. Determine s(c).
8
Let d(s) = -4*s**2 + 30193*s + 30193*s - 60386*s - 4 - 2*s**3. Calculate d(-3).
14
Let v(j) be the first derivative of -j**4/4 + 33*j + 109. Give v(0).
33
Let i = -202 - -197. Let p(x) be the third derivative of -x**4/24 + x**3/3 - 3*x**2. Calculate p(i).
7
Let y(w) = w**2 + 2*w. Let z(p) = -3 - 2*p + p**2 + 2*p**3 - 4*p**3 + 3*p**3. Let q(c) = -c**2 + 3*c + 8. Let k be q(5). Let u be z(k). Give y(u).
3
Let u(q) = 15*q - 6 + 2*q**2 + 16*q - q**2 - 51*q + 33*q. Determine u(-14).
8
Let o = -2 - -4. Let v(t) = 6*t - 2. Let y(u) = -3*u + 16*u - 2 - 8*u. Let l(q) = 4*v(q) - 5*y(q). Calculate l(o).
0
Let y(d) be the third derivative of 0*d - 25*d**2 + 0 + 0*d**4 + 0*d**3 - 4/15*d**5. Calculate y(1).
-16
Let i(w) = 161 - 6*w - 2*w - 162. Calculate i(-1).
7
Let r(z) = z**2 + 10*z - 11. Let x be r(-11). Let g(f) = x*f - 4*f + 6*f - 4 - f. What is g(-5)?
-9
Let r(x) = 7*x + 296. Let p be r(-43). Let m(s) = s**2 + 4*s - 2. Determine m(p).
3
Let m(z) = -z**3 + 4. Suppose -3*i + 2*f + 44 = 0, 2*f + 0*f + 62 = 4*i. Let d = -18 + i. What is m(d)?
4
Let f(t) = 4 - 14 + 2015*t**3 - 2014*t**3 + 8*t + 4*t - 9*t**2. Calculate f(8).
22
Let p(o) = -6*o**2 - 1. Let y(d) be the first derivative of 2*d**3 + 1/2*d**2 - 1/4*d**4 + 1 - 7*d. Let a be y(6). Determine p(a).
-7
Let w(b) = 2*b**2 + 3*b**2 - 4*b**2 + 2*b. Let z be (-3 - -9) + -3*80/30. Calculate w(z).
0
Let y(b) = -81 - 5*b + b**2 + 2*b + 146 - 72. Determine y(6).
11
Let y(k) = 4*k + 35. Let m(n) = -7*n - 71. Let s(p) = -6*m(p) - 11*y(p). Calculate s(24).
-7
Let q be 7*((-172)/(-28) + -3). Suppose 26*u = q*u. Let g(d) = d**2 - d - 2. Give g(u).
-2
Let i(z) be the first derivative of -z**4/4 + 2*z**3 - 5*z**2/2 + 2*z - 80. What is i(4)?
14
Let n = -1 + -5. Let h(y) be the third derivative of 0 + 0*y - 8*y**2 + 1/3*y**3 + 1/60*y**5 + 1/4*y**4. Determine h(n).
2
Let z(b) = -b + 8. Let l be (-18 - (3 + -6))/1. Let a be (-14)/105 - 122/l. Give z(a).
0
Let d(r) = -5*r**3 - 5*r**2 - 6*r - 7. Let a(s) = -6*s**3 - 6*s**2 - 7*s - 8. Let h(x) = -6*a(x) + 7*d(x). Determine h(-1).
-1
Let t(a) = -7*a**2 - 4. Let b(z) = -z**2 + z. Let w(i) = -5*b(i) + t(i). Let n(u) = -u**2 + 34*u - 289. Let p be n(15). Calculate w(p).
-16
Let l(x) = x**3 + 46*x**2 + 3 + 49*x**2 + 47*x**2 - 2*x + 0*x - 145*x**2. Give l(4).
11
Let m(i) be the second derivative of -i**5/20 - i**4/2 + 3*i**3/2 + 9*i**2/2 - 8*i + 2. Let k = -22 + 15. Determine m(k).
-5
Let r = 152 + -147. Let v(a) = r*a + 11*a - 14*a. Determine v(-1).
-2
Let a(y) = -6*y + 2 - 7*y**2 + 2*y + 6*y**2. Let h(g) = -g**3 + 3*g**2 - 4*g. Let l be h(2). Let s be -2 + 1 + 1 + l. Give a(s).
2
Let m(u) = u**3 - 2*u + 1. Let a be (-531)/45 + 1/(-5). Let b = a - -9. Let y = -5 - b. What is m(y)?
-3
Let c(p) = p**2 + p. Let s(h) be the first derivative of 2*h**3 - h**2/2 - 9*h + 6. Let v(b) = 5*c(b) - s(b). Calculate v(7).
2
Suppose 0 = 3*i - 3*v + 30, 5*i - v + 2*v + 44 = 0. Let q(h) = 5*h**2 + 10*h - 9. Let c(w) = 11*w**2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
r?
131
What is 755343 to the power of 1/6, to the nearest integer?
10
What is the fifth root of 1071589 to the nearest integer?
16
What is the square root of 31095 to the nearest integer?
176
What is the fifth root of 107827 to the nearest integer?
10
What is the square root of 12292957 to the nearest integer?
3506
What is the fourth root of 2623954 to the nearest integer?
40
What is the ninth root of 113154 to the nearest integer?
4
What is 793354 to the power of 1/8, to the nearest integer?
5
What is the square root of 572870 to the nearest integer?
757
What is the square root of 951955 to the nearest integer?
976
What is the third root of 516013 to the nearest integer?
80
What is the square root of 6329004 to the nearest integer?
2516
What is the sixth root of 111096 to the nearest integer?
7
What is 3467885 to the power of 1/3, to the nearest integer?
151
What is 238444 to the power of 1/2, to the nearest integer?
488
What is 1608243 to the power of 1/3, to the nearest integer?
117
What is the sixth root of 138411 to the nearest integer?
7
What is 41899136 to the power of 1/10, to the nearest integer?
6
What is 252068 to the power of 1/3, to the nearest integer?
63
What is 239514 to the power of 1/3, to the nearest integer?
62
What is the fourth root of 448318 to the nearest integer?
26
What is the third root of 50010 to the nearest integer?
37
What is the square root of 1993260 to the nearest integer?
1412
What is 8870433 to the power of 1/3, to the nearest integer?
207
What is 25677 to the power of 1/5, to the nearest integer?
8
What is 22357175 to the power of 1/4, to the nearest integer?
69
What is 277011 to the power of 1/3, to the nearest integer?
65
What is 43677 to the power of 1/3, to the nearest integer?
35
What is 206701 to the power of 1/3, to the nearest integer?
59
What is the ninth root of 562999 to the nearest integer?
4
What is 2488553 to the power of 1/3, to the nearest integer?
136
What is 614591 to the power of 1/2, to the nearest integer?
784
What is 1698683 to the power of 1/3, to the nearest integer?
119
What is the cube root of 65462 to the nearest integer?
40
What is the square root of 145869 to the nearest integer?
382
What is the fourth root of 22446097 to the nearest integer?
69
What is 1751098 to the power of 1/4, to the nearest integer?
36
What is the third root of 1548456 to the nearest integer?
116
What is the fourth root of 196248 to the nearest integer?
21
What is the square root of 378595 to the nearest integer?
615
What is 5569347 to the power of 1/2, to the nearest integer?
2360
What is the square root of 627517 to the nearest integer?
792
What is the cube root of 1293397 to the nearest integer?
109
What is 1260139 to the power of 1/5, to the nearest integer?
17
What is the fifth root of 551210 to the nearest integer?
14
What is the ninth root of 2206323 to the nearest integer?
5
What is 10813996 to the power of 1/2, to the nearest integer?
3288
What is 8678993 to the power of 1/7, to the nearest integer?
10
What is 616646 to the power of 1/9, to the nearest integer?
4
What is the cube root of 316278 to the nearest integer?
68
What is 7662364 to the power of 1/2, to the nearest integer?
2768
What is the eighth root of 4898504 to the nearest integer?
7
What is 4764 to the power of 1/6, to the nearest integer?
4
What is the third root of 8828379 to the nearest integer?
207
What is 35844160 to the power of 1/2, to the nearest integer?
5987
What is 392338 to the power of 1/3, to the nearest integer?
73
What is 271492 to the power of 1/5, to the nearest integer?
12
What is 1055796 to the power of 1/9, to the nearest integer?
5
What is the sixth root of 4769088 to the nearest integer?
13
What is 1143000 to the power of 1/3, to the nearest integer?
105
What is 5553836 to the power of 1/2, to the nearest integer?
2357
What is 6017957 to the power of 1/3, to the nearest integer?
182
What is 226780 to the power of 1/3, to the nearest integer?
61
What is 7887572 to the power of 1/5, to the nearest integer?
24
What is the square root of 212961 to the nearest integer?
461
What is the third root of 530910 to the nearest integer?
81
What is the third root of 75086 to the nearest integer?
42
What is the square root of 329370 to the nearest integer?
574
What is 3453557 to the power of 1/4, to the nearest integer?
43
What is 3403683 to the power of 1/2, to the nearest integer?
1845
What is the third root of 50354 to the nearest integer?
37
What is 2964152 to the power of 1/3, to the nearest integer?
144
What is the square root of 9141890 to the nearest integer?
3024
What is 11007969 to the power of 1/4, to the nearest integer?
58
What is 5511076 to the power of 1/4, to the nearest integer?
48
What is the third root of 2754833 to the nearest integer?
140
What is 240750 to the power of 1/2, to the nearest integer?
491
What is the square root of 301556 to the nearest integer?
549
What is 11276552 to the power of 1/3, to the nearest integer?
224
What is the cube root of 1241015 to the nearest integer?
107
What is the square root of 1426027 to the nearest integer?
1194
What is the cube root of 7385499 to the nearest integer?
195
What is the square root of 345315 to the nearest integer?
588
What is 1197694 to the power of 1/3, to the nearest integer?
106
What is 5313589 to the power of 1/3, to the nearest integer?
175
What is the ninth root of 1146569 to the nearest integer?
5
What is the cube root of 662841 to the nearest integer?
87
What is 4767796 to the power of 1/10, to the nearest integer?
5
What is the cube root of 14729283 to the nearest integer?
245
What is the cube root of 528231 to the nearest integer?
81
What is 186293 to the power of 1/10, to the nearest integer?
3
What is 152322 to the power of 1/3, to the nearest integer?
53
What is 1153437 to the power of 1/3, to the nearest integer?
105
What is 590575 to the power of 1/3, to the nearest integer?
84
What is the square root of 11912356 to the nearest integer?
3451
What is 17098745 to the power of 1/3, to the nearest integer?
258
What is 893206 to the power of 1/2, to the nearest integer?
945
What is 99635 to the power of 1/2, to the nearest integer?
316
What is the seventh root of 12740758 to the nearest integer?
10
What is the eighth root of 891067 to the nearest integer?
6
What is the third root of 775977 to the nearest integer?
92
What is the sixth root of 7422 to the nearest integer?
4
What is 771266 to the power of 1/9, to the nearest integer?
5
What is the fourth root of 588701 to the nearest integer?
28
What is the square root of 9069695 to the nearest integer?
3012
What is the square root of 1045275 to the nearest integer?
1022
What is 20980643 to the power of 1/3, to the nearest integer?
276
What is 143212 to the power of 1/2, to the nearest integer?
378
What is 773721 to the power of 1/3, to the nearest integer?
92
What is the third root of 525962 to the nearest integer?
81
What is the square root of 1945261 to the nearest integer?
1395
What is the square root of 11960 to the nearest integer?
109
What is 7877544 to the power of 1/2, to the nearest integer?
2807
What is 5621479 to the power of 1/9, to the nearest integer?
6
What is 430597 to the power of 1/3, to the nearest integer?
76
What is the square root of 6098486 to the nearest integer?
2470
What is 27718357 to the power of 1/2, to the nearest integer?
5265
What is the square root of 186279 to the nearest integer?
432
What is 4811817 to the power of 1/2, to the nearest integer?
2194
What is the fourth root of 404086 to the nearest integer?
25
What is 404593 to the power of 1/2, to the nearest integer?
636
What is the square root of 166656 to the nearest integer?
408
What is the third root of 3639900 to the nearest integer?
154
What is the fifth root of 1150891 to the nearest integer?
16
What is 866777 to the power of 1/3, to the nearest integer?
95
What is the square root of 106993 to the nearest integer?
327
What is the square root of 214907 to the nearest integer?
464
What is 196727 to the power of 1/2, to the nearest integer?
444
What is the cube root of 7287976 to the nearest integer?
194
What is the square root of 13027820 to the nearest integer?
3609
What is the third root of 367763 to
|
{
"pile_set_name": "DM Mathematics"
}
|
the form o*d**3 + g*d + u*d**2 + r + p*d**4 and give p.
6
Express -2 + 5 - 134*m - 2 - 3 + 0 as d*m + y and give y.
-2
Express -4*i**2 + 26 - 861*i + 861*i + 11*i**2 + 36 in the form r*i + f*i**2 + o and give f.
7
Express ((1 + 2*w - 1)*(0 + 1 - 3) - 2*w - 28*w - 28*w)*(-2*w**2 + w**2 + 3*w**2) as o + q*w + u*w**2 + m*w**3 and give q.
0
Rearrange 145 - 296 + 141 + 18*u**2 to b*u + n + a*u**2 and give a.
18
Express 1 - 2*s**2 + 0*s**2 - 4*s**2 + 12*s**3 + 22*s**3 + 0*s**3 as j + l*s + b*s**2 + r*s**3 and give j.
1
Rearrange -481*r + 5 - 66*r**4 - 477*r + 960*r + 1 - 2*r**2 to o + n*r**4 + b*r**2 + t*r**3 + u*r and give n.
-66
Express (9 + 4 + 7)*(40*y - 42*y + 1 + 2) in the form x*y + d and give d.
60
Rearrange -b + 100*b**2 - 54*b**2 - 1 - 44*b**2 to the form c*b**2 + s + q*b and give q.
-1
Rearrange 20*p + 2 + 23*p - 2*p**2 - 66*p + 23*p to q + v*p**2 + m*p and give v.
-2
Express (7 - 7 - x)*(4 - 4 + x**2) - 4*x**3 + x**3 - 4*x**3 as g*x**3 + y*x**2 + p*x + w and give g.
-8
Express (-1 - 2 - 2)*(-4*v + 4*v - 7*v) - 2*v + 3*v + v + 1 - 2*v - 1 + (-4*v + 3*v - 2*v)*(0 + 0 + 2) as h*v + z and give h.
29
Rearrange 3*t - 8*t**2 + 11*t**3 - 13*t**3 + 5*t**3 to the form p*t + o*t**2 + g + j*t**3 and give o.
-8
Rearrange -48*s**3 - 840 + 840 + (-1 - 2*s + 1)*(-5*s**2 + 0*s**2 + 3*s**2) to the form d*s**2 + h*s + g*s**3 + v and give g.
-44
Express 8*p + 29*p**2 - 8*p + (-4*p - p + 4*p)*(1 + 2*p - 1) - 2*p**2 + 7 - 7 + p**2 - 6 + 6 + 3*p**2 - 2*p**2 - 2*p**2 as k + x*p + v*p**2 and give v.
25
Rearrange -27 - 38 - 457*v + 456*v + 4*v**3 - 2*v**2 - 3*v**3 to the form q + j*v**2 + c*v**3 + h*v and give q.
-65
Express (2*q**3 - 47*q**3 - 37*q**3)*(1 - 4 + 2) in the form h + k*q**2 + i*q**3 + o*q and give i.
82
Express -61 - g**2 + 24 + 20 - 200*g**3 + 18 - 228*g**3 in the form k*g**3 + c*g**2 + y + f*g and give k.
-428
Rearrange 4*m**3 - 1 - 15*m**4 + 3*m**3 + 13*m**2 - 8*m**3 - 14*m**2 to the form v*m**2 + p*m + w*m**4 + z + l*m**3 and give l.
-1
Rearrange (2*a - 1 + 1)*(331 + 234 - 777 + 409) to the form d*a + t and give d.
394
Rearrange (119 + 33*o - 119)*(0 - 3*o + 0) to u + j*o**2 + v*o and give j.
-99
Express -10 - 16 + 91*x**3 - x**2 - 89*x**3 + 0*x**2 as v + d*x**2 + n*x + y*x**3 and give v.
-26
Rearrange (-23 + 93 + 346 + 164)*(-2*p**3 + 0*p**3 + 3*p**3) to b*p**2 + y + q*p**3 + v*p and give q.
580
Express 21 + 3*s**3 + 51*s + 6 - 1 - 49*s - 5 as j + l*s + y*s**3 + h*s**2 and give y.
3
Express (-2 + 2 - a**2)*(a + a + 0*a) - 2*a + 2*a + a**3 - 562*a**2 + 562*a**2 + 156*a**3 + 2*a**3 - a + a as t + z*a + o*a**2 + y*a**3 and give y.
157
Rearrange -13*v + 172*v + 17*v to the form o*v + n and give o.
176
Rearrange (0 - 3 - 5)*(-2 + 2 + 2*b**2 + (2*b**2 - 3*b**2 + 3*b**2)*(-1 - 2 + 1))*(-1 + 1 - 4) to the form z + s*b**2 + x*b and give s.
-64
Express -13507 + 13507 - 194*y**2 in the form s + p*y + r*y**2 and give r.
-194
Rearrange (0 + 2 + 0)*(0 - 5 + 3)*(-106*i**3 - 43*i**3 + 53*i**3) to h*i**3 + b + x*i + f*i**2 and give h.
384
Express -l**3 + 124 - 269 + 10*l - 4*l**2 + 147 in the form z*l + c + u*l**3 + t*l**2 and give c.
2
Express (-2*z + z - z)*(-4*z + 5*z - 3*z) - 6*z**2 + 3*z**2 + z**2 + z**2 + 16081 - 17149 + z**2 as b*z + c*z**2 + l and give c.
4
Express 61*b**2 - 38*b + 7*b + 63*b**2 - 13*b - 123*b**2 in the form d*b**2 + u*b + w and give u.
-44
Rearrange 42 + 42 + 134*w - 84 to the form t + j*w and give j.
134
Express -120*l - 55*l + 34*l as q*l + b and give q.
-141
Rearrange -4 - k + 1 + 3 + 22 to u*k + n and give n.
22
Express (8 + 16*v - 2*v**2 - 16*v)*(-14*v**2 - 19*v**2 + 4*v**2) in the form a*v**4 + b + n*v**3 + x*v**2 + z*v and give n.
0
Express 5*a**3 + 8*a**3 - 4*a**3 - 3*a**2 - 3*a**3 + 3*a**2 + (-3 - a + 3)*(5*a - 5*a - 2*a**2) as t*a**3 + j*a + u*a**2 + v and give t.
8
Rearrange 80*y**2 + 169*y**2 - 27*y**2 to q + u*y**2 + g*y and give u.
222
Rearrange 29 - 2*f**3 - 191*f**2 + 91*f**2 + 98*f**2 - 368 to the form t*f + d + x*f**2 + v*f**3 and give x.
-2
Express -3*y + 33*y + 49*y - 3 - 10*y - 10*y in the form h + s*y and give s.
59
Express (-98 - 70 - 22)*(0*i + 0*i + 2*i) as h + p*i and give p.
-380
Rearrange -p + p**3 + 19 - 3*p**4 - 32108*p**2 + 32108*p**2 to f*p**4 + v*p**3 + t + c*p**2 + z*p and give f.
-3
Rearrange -7*x**2 + 613*x + 608*x + 74*x**4 - 1223*x to the form z + s*x**4 + q*x + k*x**2 + h*x**3 and give s.
74
Rearrange 874 - 436 + 3*y**2 - 43*y**4 - 437 to l*y**4 + o*y + i + b*y**2 + f*y**3 and give l.
-43
Express (-258 + 7*w**2 + 216 - 14*w**2)*(10 + 0 - 19) as p + u*w**2 + g*w and give u.
63
Rearrange 26*m + 40*m - 40*m + 104*m to the form v*m + u and give v.
130
Express 108 - 280 + 175 - 190*k as t*k + h and give h.
3
Express 4 + 143*u + 92*u**3 - 3 - 94*u**3 in the form h*u + d*u**2 + g*u**3 + i and give h.
143
Rearrange 0*n**4 - 2 - 3 + n - 43*n**2 + 4 - n**4 to a + u*n + q*n**3 + g*n**2 + y*n**4 and give u.
1
Rearrange 14*a - 14*a + 14*a**2 + (2 - 2 - 2*a)*(-4*a + 8*a - 5*a) to r*a + s*a**2 + l and give s.
16
Rearrange 2 + 4*g**3 - 4 + 2*g**4 + 2 - g**2 + 2*g**3 to the form f*g**2 + x*g + b*g**3 + y*g**4 + i and give b.
6
Rearrange 1254 - 2505 - 109*h + 1256 to u*h + a and give a.
5
Rearrange -7*t**2 - 11 + 0*t**4 + 13 - t**3 + 2*t**4 - t**4 to q + c*t**4 + u*t**3 + f*t + y*t**2 and give q.
2
Express (-4*j**2 - 5*j + 5*j)*(-2 - 1 + 8)*(-4*j**2 - 3*j**2 + 0*j**2) as v*j**3 + q*j**2 + g*j**4 + o*j + x and give g.
140
Rearrange (6 - 18 - 28)*(-o - 2*o + 2*o)*(67 + 9*o - 67) to the form n*o + l + d*o**2 and give d.
360
Rearrange (19 - 62*h + 36*h + 27*h)*(-2 + 3 - 3)*(6 - 2 - 3) to l + q*h and give q.
-2
Express (371*s**2 - 1 + 771*s**2 - 180*s**2 - s)*(-2*s**2 + 3*s**2 + 0*s**2) as j*s**4 + v*s + y*s**2 + r*s**3 + p and give y.
-1
Rearrange (0*o - 2*o**2 + 0*o)*(-17 + 0 - 19)*(-1 + 9 + 2)*(1 - 3 + 4)*(-4 + 0 - 2) to the form y*o**2 + v*o + u and give v.
0
Rearrange 166 + 163 - 334 - 3*k to j + i*k and give j.
-5
Express -91*l - 999*l + 363*l - 928*l as t*l + z and give t.
-1655
Express (2*u - 2*u + 2*u - 9*u - 16*u + 6*u + (-2*u + 5*u - 2*u)*(-5 + 2 + 1))*(0*u - 3*u + 8*u) in the form k + b*u + o*u**2 and give o.
-95
Rearrange (2*m**2 - 5 + 5)*(-2*m**2 + 0*m**2 + m**2) + 1285*m - 1286*m + 93*m**4 + 777*m**4 to j*m**2 + a + z*m**3 + l*m**4 + b*m and give z.
0
Rearrange -8*i**3 + 174*i + 6 - 174*i to the form s*i**2 + f + d*i**3 + m*i and give d.
-8
Express (10*q - 2*q + q)*(-4*q**2 + 4*q**2 - 3*q**3)*(2 - 5 + 1) + q**4 + 3*q**4 + q**3 - 3*q**3 in the form h*q + g + c*q**3 + z*q**4 + v*q**2 and give z.
58
Rearrange -154752*l**3 + 154753*l**3 + 0*l - 4*l to f + y*l**2 + c*l + a*l**3 and give a.
1
Rearrange -15569 + 6892*u + 15569 + 2*u + u - 4*u + (-4*u + u + u)*(-2 - 4 + 4) to the form s*u + r and give s.
6895
Rearrange 0*u**3 - 3*u**3 - 105*u + 275*u + 2*u**2 + 140*u + 4*u**3 to z*u**2 + a*u**3 + g*u + r and give g.
310
Express 28*d**2 - 28*d**2 + 506*d - 2*d**4 - 505*d + 154*d**3 + 2 in the form n*d + c*d**2 + w*d**3 + b*d**4 + p and give p.
2
Express -783 + 404 + 393 - k + 5*k**3 as v*k + x*k**2 + h + y*k**3 and give h.
14
Express -2*t + t - 1 - 61*t**2 + 8*t**2 - 4*t in the form l + o*t + n*t**2 and give n.
-53
Express 54461 - 171*l - 54463 - 25*l as f*l + c and give c.
-2
Express 2*i**3 - 436*i**2 + 49 + 434*i**2 - 4*i**4 - 41 as d*i**3 + z*i + s*i**4 + x*i**2 + w and give w.
8
Rearrange ((-1 + 1 - 2*v)*(0 + 2 + 0) + v + 2*v - 2*v + 2*v + 2*v - 2*v)*(4 - 49 - 112)*(-5 + 4 + 2)*(-v + 2*v + 0*v) to the form f*v + o + l*v**2 and give l.
157
Rearrange 399*t + 1 - 18 + 6 + 11 to d*t + u and give d.
399
Express -18*m + 55*m**2 + 19*m + 13*m**2 in the form f*m**2 + r + c*m and give c.
1
Rearrange (-231 + 20*h + 231)*(-3*h + 2*h - 5*h) to the form j + s*h**2 + n*h and give s.
-120
Express (2*r - 4*r + r**2 - 3*r**2)*(-46 + 47 + 19) as i*r + p + q*r**2 and give i.
-40
Rearrange (-2*y + 2*y - 2*y**2)*(4 + y**2 - 4) + 34*y**4 + 8*y**4 + 595 - 589 to w + d*y**3 + a*y**4 + u*y**2 + z*y and give a.
40
Express -27*c**2 + 12*c**2 + 7*c**2 + 3 as o + y*c + b*c**2 and give o.
3
Rearrange 27*d - 440*d - 908*d - 139*d + 133*d to b*d + w and give b.
-1327
Express -2*b**2 + 4 + 25*b - 95*b + 37*b**4 + 72*b + 43*b**4 - 2 in the form h*b + j*b**2 + y*b**3 + v + o*b**4 and give j.
-2
Express 5*m**3 - m - 19*m**3 + 28*m**3 + m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
lve 132*j = 1070 - 14 for j.
8
Solve -28*v + 37 - 9 = 0 for v.
1
Solve a = 3*a - 10 for a.
5
Solve 0 = -14*t + 4*t - 30 for t.
-3
Solve 42*x = 11*x + 186 for x.
6
Solve 6*m - 6 + 0 = 0 for m.
1
Solve 0 = 21*v + 178 + 11 for v.
-9
Solve -3*w = 157 - 160 for w.
1
Solve 6*d + 16*d + 88 = 0 for d.
-4
Solve 8*t + 27 = 3 for t.
-3
Solve 2619*s = 2625*s - 48 for s.
8
Solve 103*f + 12 = 100*f for f.
-4
Solve 0 = -6*m + 5*m for m.
0
Solve 595*r - 594*r = -8 for r.
-8
Solve 3*n = 49 - 31 for n.
6
Solve 7*t - 9*t + 10 = 0 for t.
5
Solve 31*v + 20 = 36*v for v.
4
Solve 0 = -0*f + 9*f - 36 for f.
4
Solve -8*t + 371 = 419 for t.
-6
Solve 56 + 40 = 16*j for j.
6
Solve 15*n - 21 = -81 for n.
-4
Solve 3*t + 93 = 96 for t.
1
Solve 118*b - 114*b = 4 for b.
1
Solve 47*p - 15 = 52*p for p.
-3
Solve 0 = -2*q - 2 + 4 for q.
1
Solve 115*m - 107*m + 48 = 0 for m.
-6
Solve -105 = 7*n - 77 for n.
-4
Solve 0 = -3*j + 4*j - 8 for j.
8
Solve -70*r - 212 = 208 for r.
-6
Solve 0 = 5*b + 53*b - 232 for b.
4
Solve 9*a - 24 = 15*a for a.
-4
Solve 102*j - 105*j + 12 = 0 for j.
4
Solve u - 289 = -283 for u.
6
Solve 73 = -13*r - 18 for r.
-7
Solve 12*d = -2*d - 56 for d.
-4
Solve 24*i = 6*i + 18 for i.
1
Solve -5*u = -8*u + 6 for u.
2
Solve -7*y = -3*y for y.
0
Solve 0 = 4*d - 20 + 4 for d.
4
Solve -32 = 9*q - 5 for q.
-3
Solve -11*r + 5 = -61 for r.
6
Solve 16*m - 17*m = 1 for m.
-1
Solve -45*a = -13*a for a.
0
Solve 2059*h = 2060*h + 8 for h.
-8
Solve -w = -8*w - 0*w for w.
0
Solve 658*z = 593*z + 130 for z.
2
Solve -58*h + 16 = -54*h for h.
4
Solve 9*t - 10 = 11*t for t.
-5
Solve 3*z + 0 = -3 for z.
-1
Solve -11 = 3*c - 5 for c.
-2
Solve -156 = -23*z - 41 for z.
5
Solve 55*l = 43*l + 36 for l.
3
Solve 0 = -63*b - 13*b + 532 for b.
7
Solve -6*o + 1 = 25 for o.
-4
Solve 4*l - l + 3*l = 0 for l.
0
Solve 2*v = -6*v - 40 for v.
-5
Solve 8 = -2*l + 20 for l.
6
Solve 201 = 11*p + 289 for p.
-8
Solve 19 = 3*h + 13 for h.
2
Solve 13 = -19*f + 51 for f.
2
Solve -32*j = -29*j for j.
0
Solve -6*p + 21*p - 45 = 0 for p.
3
Solve -5*t + 691 = 656 for t.
7
Solve -27*n - n - 280 = 0 for n.
-10
Solve -7*b = -4*b - 3 for b.
1
Solve -4*j + 8*j = 20 for j.
5
Solve 28*m + 52 = -60 for m.
-4
Solve 3*k - 1 = -4 for k.
-1
Solve 4*y = 8*y - 12 for y.
3
Solve 33*f = 13 - 145 for f.
-4
Solve -16 = 4*b - 32 for b.
4
Solve 15*n = 18*n + 3 for n.
-1
Solve -54*a - 270 = -9*a for a.
-6
Solve -35*v = -23*v + 24 for v.
-2
Solve -55 = 3*j - 34 for j.
-7
Solve 0 = -8*m - 95 + 79 for m.
-2
Solve -2 = -5*y + 18 for y.
4
Solve 4*u - u = -12 for u.
-4
Solve -13*k - 3*k = 64 for k.
-4
Solve 3*o + 6*o = 45 for o.
5
Solve -17*p - 11*p + 14*p = 0 for p.
0
Solve 15 = -0*g + 5*g for g.
3
Solve 108*u = 94*u - 70 for u.
-5
Solve 26*i = -34*i for i.
0
Solve -8*j + 23 = 7 for j.
2
Solve 30 = -9*v - 6 for v.
-4
Solve 8*b - 2*b = -24 for b.
-4
Solve d - 14 = 8*d for d.
-2
Solve 26*k = 21*k - 25 for k.
-5
Solve 26*d + 64 = 10*d for d.
-4
Solve 13*i + 58 = 6 for i.
-4
Solve 0 = 123*v - 130*v + 7 for v.
1
Solve 0 = -14*k - 17*k for k.
0
Solve 120 - 84 = -36*o for o.
-1
Solve 0 = -37*p + 19*p - 42*p for p.
0
Solve u - 2*u + 1 = 0 for u.
1
Solve 55*o = -136 - 84 for o.
-4
Solve -106 = 16*x - 42 for x.
-4
Solve -3*r + 5 = 2*r for r.
1
Solve -1590*i = -1588*i - 10 for i.
5
Solve 4 = 5*h - 7*h for h.
-2
Solve -3*n - 18 = -6 for n.
-4
Solve 0*k - 7*k = 0 for k.
0
Solve -b - 3 + 2 = 0 for b.
-1
Solve -10*x = -x for x.
0
Solve 257 - 47 = 21*f for f.
10
Solve d + 0 + 4 = 0 for d.
-4
Solve 15*q - 123 + 78 = 0 for q.
3
Solve -n = -307 + 302 for n.
5
Solve -6*x + 39 = 9 for x.
5
Solve -13*f + 12*f = 0 for f.
0
Solve -12*h + 14 = 2*h for h.
1
Solve 4*x = 7*x + 9 for x.
-3
Solve 38 - 58 = 5*v for v.
-4
Solve 6*r - 96 = -90 for r.
1
Solve 7*s + 18*s = 25 for s.
1
Solve 2*j - 39 = -11*j for j.
3
Solve -h - 62 + 64 = 0 for h.
2
Solve -2*p = -8*p + 6 for p.
1
Solve -16 = 154*g - 158*g for g.
4
Solve -22 - 13 = -7*a for a.
5
Solve 34*f + 48 = 46*f for f.
4
Solve -81*l + 27*l = 324 for l.
-6
Solve -6*v - 7 = -43 for v.
6
Solve 70*w = 33*w + 30*w for w.
0
Solve 64*k + 149 = -43 for k.
-3
Solve -2*a - 59 + 69 = 0 for a.
5
Solve -137*c + 146*c - 9 = 0 for c.
1
Solve 5 - 5 = i for i.
0
Solve 0 = -5185*b + 5179*b + 36 for b.
6
Solve -117*g - 53 + 170 = 0 for g.
1
Solve 181*o + 27 = 172*o for o.
-3
Solve 0 = 7*z - 9*z + 8 for z.
4
Solve -25*g = -21*g + 16 for g.
-4
Solve 6*m + 36 = -3*m for m.
-4
Solve 6*f - 687 = -693 for f.
-1
Solve 483 = 18*q + 51*q for q.
7
Solve 174*l = 163*l - 77 for l.
-7
Solve -3*c + 7*c + 16 = 0 for c.
-4
Solve -163*g = -169*g + 30 for g.
5
Solve 2 = 3*d - 13 for d.
5
Solve 2*h = -53 + 65 for h.
6
Solve -5*d + 1 = -9 for d.
2
Solve 4 = 68*o - 66*o for o.
2
Solve 7*x = 2*x + 25 for x.
5
Solve 0 = -50*c + 44*c + 30 for c.
5
Solve 2*j = -47 + 51 for j.
2
Solve 19*r - 21*r = -2 for r.
1
Solve -714*w + 66 = -681*w for w.
2
Solve 374*y = 331*y + 473 for y.
11
Solve 5*r + 29*r = 5*r for r.
0
Solve 24*k + k - 2*k = 0 for k.
0
Solve -29*d - 16 = -45*d for d.
1
Solve -222 = 41*k - 550 for k.
8
Solve -3*b - 44 + 38 = 0 for b.
-2
Solve -11 + 12 = q for q.
1
Solve -11*q - 3*q = -28 for q.
2
Solve 47*f - 46*f = -4 for f.
-4
Solve 15*z + 152 = -61*z for z.
-2
Solve -3*v + 211 = 202 for v.
3
Solve -12 = 28*g - 22*g for g.
-2
Solve -41*w = -135 - 111 for w.
6
Solve -4*n - 1 = 15 for n.
-4
Solve 2*t + 6 = -0*t for t.
-3
Solve -118*s = -123*s for s.
0
Solve 4*n + 17*n + 63 = 0 for n.
-3
Solve -12*y + 97 = 1 for y.
8
Solve 352 = -11*p + 297 for p.
-5
Solve -174*k = -170*k for k.
0
Solve 36*a + 4 = 38*a for a.
2
Solve -267 + 252 = 15*b for b.
-1
Solve -2*u - 5*u + u = 0 for u.
0
Solve 50*n - 53*n = 15 for n.
-5
Solve 0 = -m - 103 + 106 for m.
3
Solve 0 = 18*w - 40*w - 42*w for w.
0
Solve 0 = 5*y - 12*y - 35 for y.
-5
Solve -136 = r + 33*r for r.
-4
Solve 872*o + 18 = 875*o for o.
6
Solve -10*h - 422 = -392 for h.
-3
Solve 0*x - 4*x - 12 = 0 for x.
-3
Solve 94*q = -355 - 303 for q.
-7
Solve q = -10*q - 11 for q.
-1
Solve 3*d - 2*d = 0 for d.
0
Solve 0 = 7*z + 6*z + 13 for z.
-1
Solve -3*b = -5 + 20 for b.
-5
Solve -367 = -7*o - 332 for o.
5
Solve 0 = 75*g - 47*g + 84 for g.
-3
Solve 0 = -37*j + 3*j + 238 for j.
7
Solve 1 = k + 5 for k.
-4
Solve 5*n - 81 = -66 for n.
3
Solve 86*g + 1439 = 579 for g.
-10
Solve 0 = 39*a + 156 for a.
-4
Solve -385*r - 80 = -375*r for r.
-8
Solve 11 = -13*w - 15 for w.
-2
Solve -48*z = -41*z - 21 for z.
3
Solve 70*m = -145 - 345 for m.
-7
Solve 5*k - k - 8 = 0 for k.
2
Solve -19*h - 104 = -6*h for h.
-8
Solve 10*u - 33 = -63 for u.
-3
Solve -3*l - 16*l = 38 for l.
-2
Solve 6*o - 1 = 7*o for o.
-1
Solve 5*a = -12*a + 68 for a.
4
Solve -13*n = -8*n + 15 for n.
-3
Solve 47 - 82 = 7*i for i.
-5
Solve 100*z - 126*z - 78 = 0 for z.
-3
Solve 24*f - 79*f - 385 = 0 for f.
-7
Solve -124*r + 118*r + 60 = 0 for r.
10
Solve 122*y = 123*y - 1 for y.
1
Solve 5 = -4*n + 13 for n.
2
Solve 2*u - 35 = -29 for u.
3
Solve 0 = 17*i - 4*i - 52 for i.
4
Solve 62*q = 191 - 687 for q.
-8
Solve 0 = -311*u + 304*u for u.
0
Solve 2 = -16*z + 34 for z.
2
Solve -6*t + 24 = 6 for t.
3
Solve 0 = -4*u + 86 - 98 for u.
-3
Solve -33 = 25*q - 14*q for q.
-3
Solve 36 - 44 = -4*t for t.
2
Solve -1978 + 1942 = 4*t for t.
-9
Solve -7*w = 10*w for w.
0
Solve 4*d = 1 - 21 for d.
-5
Solve -40*d - 36 = -34*d for d.
-6
Solve 3*z + 4*z = -21 for z.
-3
Solve 80*a + 96 = 64*a for a.
-6
Solve 15*f = -2*f - 34 for f.
-2
Solve -2*l - 4*l = 30 for l.
-5
Solve 10*u + 562 = 532 for u.
-3
Solve 0 = 4*h - 47 + 59 for h.
-3
Solve 334*p - 12 = 337*p for p.
-4
Solve -19*j - 2 = -18*j for j.
-2
Solve -488*k + 498*k = -80 for k.
-8
Solve 65*f + 94 = 18*f for f.
-2
Solve -3*a - 12 = -6*a for a.
4
Solve -114 + 148 = -34*q for q.
-1
Solve 0 = -4*s + 197 - 177 for s.
5
Solve -12*n = -29*n + 85 for n.
5
Solve -n + 6*n = -25 for n.
-5
Solve 0 = 215*o - 210*o - 10 for o.
2
Solve 7*o = -458 + 507 for o.
7
Solve -10*q - 13*q = -138 for q.
6
Solve 49 = 11*s + 5 for s.
4
Solve 0 = 4*b + 4*b - 8 for b.
1
Solve -4*f = 3*f + 21 for f.
-3
Solve -8*p - 5 = 27 for p.
-4
Solve 0 = 6*v + v + 35 for v.
-5
Solve 101*m - 32*m - 414 = 0 for m.
6
Solve -29 = 4*r - 49 for r.
5
Solve c - 6 = -12 for c.
-6
Solve 469*g = 478*g - 27 for g.
3
Solve 5*i + 66*i = 284 for i.
4
Solve -14*n = -48*n - 102 for n.
-3
S
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -l + 11 - 6 = 0. Let n(k) be the third derivative of 1/420*k**6 + 1/735*k**7 + 0 - 2*k**2 - 1/210*k**l + 0*k + 0*k**3 - 1/84*k**4. Factor n(b).
2*b*(b - 1)*(b + 1)**2/7
Let a(s) be the first derivative of s**7/1260 - s**6/270 + s**5/180 + 4*s**3/3 + 4. Let r(v) be the third derivative of a(v). Let r(t) = 0. Calculate t.
0, 1
Let z(m) be the second derivative of -m**7/126 - m**6/90 + m**5/30 + m**4/18 - m**3/18 - m**2/6 - 31*m. Factor z(d).
-(d - 1)**2*(d + 1)**3/3
Let d(q) = q**2. Let v(i) = i**3 + i**2. Let o(c) = 2*d(c) - v(c). Find x, given that o(x) = 0.
0, 1
Let w(h) be the third derivative of -h**6/1140 + h**5/570 + h**4/114 - 8*h**2. Factor w(o).
-2*o*(o - 2)*(o + 1)/19
Suppose 2*r = 5*r - 6. Determine y so that r*y**4 - 2*y**5 + 2*y**2 - 4*y**2 + 0*y**4 + 2*y**3 = 0.
-1, 0, 1
Factor i**2 - 1 + 2*i**3 - 4*i**5 + i**2 + 3*i**5 - i - i**4.
-(i - 1)**2*(i + 1)**3
Factor -6*i**2 + 4*i**3 + 0*i**3 - 5*i**3 + 3*i**3 + 4*i.
2*i*(i - 2)*(i - 1)
Suppose 30 = -5*l - 5*y, 2*l + 3*y = -13 - 1. Let c = 8 + l. Determine r, given that 0 + 0*r**2 + 0*r - 1/3*r**5 - 2/3*r**c - 1/3*r**3 = 0.
-1, 0
Suppose -4*c = -3*u - 6, -4*c + 2*u = u - 2. Factor -2/7*f**4 + c*f**3 + 2/7*f**2 + 0 + 0*f.
-2*f**2*(f - 1)*(f + 1)/7
Factor 30 - 324*u + 4*u**2 + 2*u**2 + 261*u.
3*(u - 10)*(2*u - 1)
Let m(q) be the second derivative of -5*q**5/16 + 5*q**4/16 + 3*q**3/8 + q**2/8 + 2*q. Solve m(a) = 0 for a.
-1/5, 1
Let w be (-2)/(-12) - 2/((-54)/63). Let x be -2 - (-1 + 2/(-2)). Suppose 0 + 2*b**4 + 1/2*b**2 + x*b - w*b**3 = 0. What is b?
0, 1/4, 1
Let r be -1 + 5 + 8/(-2). Let p(i) be the first derivative of r*i - 4 + 4/7*i**2 + 1/14*i**4 - 8/21*i**3. Factor p(t).
2*t*(t - 2)**2/7
Let p(u) = -u**5 + 19*u**4 - 7*u**3 + 7. Let f(y) = 6*y**4 - 2*y**3 + 2. Let w(q) = -q + 2. Let c be w(4). Let r(k) = c*p(k) + 7*f(k). What is s in r(s) = 0?
-2, 0
Let a = -787 + 787. Factor 0*c**2 + 1/7*c - 1/7*c**3 + a.
-c*(c - 1)*(c + 1)/7
Let m = -57 - -115/2. Solve m + 1/2*b**2 + b = 0.
-1
Let j(o) = -o**3 - 4*o**2 - o + 4. Let c be j(-3). Let l be -2 - (6/c - 1). What is m in -l*m**2 - 1 + 0*m**2 + m**2 - 2*m = 0?
-1
Let c be (-3)/((-6)/2)*-3. Let n be (-5)/10*(-3 - c). Factor 1/4*b**3 + n*b + 0*b**2 - 1/4*b**4 + 0.
-b**3*(b - 1)/4
Let j(o) be the third derivative of -o**6/468 - o**5/390 + o**3 - 3*o**2. Let i(z) be the first derivative of j(z). Factor i(u).
-2*u*(5*u + 2)/13
Let v be -2 - (1 + 0/1). Let p = -1 - v. Factor -1 + m**2 - m**p + m**2.
(m - 1)*(m + 1)
Let c(u) = -15*u**4 - 36*u**3 - 246*u**2 - 336*u - 135. Let q(m) = -m**4 + m**3 - m**2 + 1. Let s(x) = c(x) - 12*q(x). Let s(f) = 0. What is f?
-7, -1
Let r = 61 - 239/4. Find w, given that 1 + r*w**2 - 1/4*w**3 - 2*w = 0.
1, 2
Let s(g) be the first derivative of -g**5/90 - g**4/54 - 3*g + 3. Let a(l) be the first derivative of s(l). Suppose a(x) = 0. Calculate x.
-1, 0
Let h(m) be the third derivative of m**5/75 + m**4/30 - 4*m**3/15 + 5*m**2. Solve h(b) = 0.
-2, 1
Let b(i) be the third derivative of i**9/30240 + i**8/13440 - i**4/12 + 4*i**2. Let o(w) be the second derivative of b(w). Suppose o(j) = 0. Calculate j.
-1, 0
Let w(q) be the third derivative of q**6/30 - q**4/6 + 4*q**2. Factor w(u).
4*u*(u - 1)*(u + 1)
Let c(s) be the third derivative of 1/70*s**7 + 1/40*s**6 + 0*s**3 - 1/20*s**5 - s**2 + 0*s + 0 - 1/8*s**4. Factor c(f).
3*f*(f - 1)*(f + 1)**2
Let s(n) = -3*n**2 + 7. Suppose -g = -4*k + 2 + 10, -8 = g - 3*k. Let f(m) = 12*m**2 - 27. Let q(l) = g*f(l) + 15*s(l). Factor q(r).
3*(r - 1)*(r + 1)
Let n = -14 + 44. Suppose -11 = -4*y + 3*b, 3*y + 0*b = -5*b + n. Factor -2/3*s**3 + s - 2/3*s**2 - 1/3*s**y + s**4 - 1/3.
-(s - 1)**4*(s + 1)/3
Let t(z) = z**2 - 12*z - 11. Let j be t(13). What is q in -4*q**4 + j*q**3 - 6 + 6 - 2*q + 1 + 3*q**4 = 0?
-1, 1
Suppose 0 + 2/5*h**2 - 4/5*h = 0. What is h?
0, 2
Let x(w) be the first derivative of w**6/3 - 16*w**5/5 + 11*w**4 - 16*w**3 + 9*w**2 - 8. Suppose x(o) = 0. Calculate o.
0, 1, 3
Let f = 142 - 139. Suppose 4/3*w**3 + 5/3*w**5 - f*w - 10/3*w**2 + 4*w**4 - 2/3 = 0. Calculate w.
-1, -2/5, 1
Let x(p) be the second derivative of 1/120*p**5 + 1/480*p**6 + 0*p**3 + 0 - 1/2*p**2 + p + 0*p**4. Let b(m) be the first derivative of x(m). Solve b(l) = 0.
-2, 0
Determine n so that -2*n**3 + 13*n**4 + 50*n**3 - 40*n**2 + 4*n**5 + 12*n - 37*n**4 = 0.
0, 1, 3
Suppose g - 3*p = -8*p + 25, 0 = -2*g - 3*p + 15. Suppose -k + 1 + 1 = g. Factor 3/2 + 24*j**k - 12*j.
3*(4*j - 1)**2/2
Let h = 11 - 11. Find r, given that 4 + h*r**2 - 3*r**2 + 5*r**2 + 6*r = 0.
-2, -1
Determine s so that 21*s**2 + 4*s - 17*s**2 + 16*s - 56 = 0.
-7, 2
Let t be (-16)/24*(10 - 1). Let z = -64/11 - t. What is o in 6/11*o - 8/11*o**2 + z = 0?
-1/4, 1
Let u(k) = 45*k**4 + 20*k**3 + 5*k**2 - 30*k + 30. Let v(y) = y**4 - y + 1. Let b(x) = u(x) - 30*v(x). Find r, given that b(r) = 0.
-1, -1/3, 0
Solve -1/2*q**4 + 0 - 6*q**2 - 4*q - 3*q**3 = 0.
-2, 0
Let l(c) be the first derivative of -2/5*c - 2/25*c**5 - 2/5*c**2 - 2/15*c**6 + 4/15*c**3 + 2/5*c**4 + 1. Find d such that l(d) = 0.
-1, -1/2, 1
Let g(h) be the second derivative of 5/66*h**4 - 4/165*h**6 + 1/11*h**3 + 5*h - 1/11*h**2 - 3/110*h**5 + 0. Find x such that g(x) = 0.
-1, 1/4, 1
Suppose 0 = 5*m - 2*m + 5*m. Factor m + 1/2*d**2 - 1/2*d**4 - 1/4*d + 0*d**3 + 1/4*d**5.
d*(d - 1)**3*(d + 1)/4
Let w = -2/387 + 788/2709. Solve 0 - w*x**3 + 0*x**2 + 2/7*x = 0.
-1, 0, 1
Let b(f) be the second derivative of f**7/441 + f**6/35 + f**5/7 + 23*f**4/63 + 11*f**3/21 + 3*f**2/7 - 12*f. Factor b(p).
2*(p + 1)**3*(p + 3)**2/21
Suppose 6*r**4 + r**3 + 6*r - 11*r**2 - 7*r**4 + 5*r**3 = 0. What is r?
0, 1, 2, 3
Let o = -42 - -44. Factor -2/3*v**o + 2*v - 4/3.
-2*(v - 2)*(v - 1)/3
Let w be (-3)/(-6) + (-10)/(-4). Factor 5 + 6*g**w + 2*g**5 + 6*g**4 - 5 + 2*g**2.
2*g**2*(g + 1)**3
Let g(u) be the first derivative of -u**3/3 - 2*u**2 - 4*u + 8. Let g(b) = 0. Calculate b.
-2
Let z(r) be the first derivative of r**5/10 + r**4/8 - r**3/2 - r**2/4 + r + 5. Determine k, given that z(k) = 0.
-2, -1, 1
Let k(d) be the third derivative of d**6/70 - d**5/140 - d**4/14 + d**3/14 + 7*d**2. Suppose k(g) = 0. Calculate g.
-1, 1/4, 1
Factor 60*m**2 - 1 + 0*m - 2*m + 4 - 61*m**2.
-(m - 1)*(m + 3)
Let m = -10/13 + 96/91. Factor 6/7*n**2 + m*n + 0.
2*n*(3*n + 1)/7
Let s be ((-4)/(-8))/1 + 4/(-16). Factor -1/4 + 1/4*z**2 + s*z - 1/4*z**3.
-(z - 1)**2*(z + 1)/4
Let j(w) = -3*w**2 - 3*w + 4. Let u(i) = -4*i**2 - 4*i + 5. Let a(n) = -3*j(n) + 2*u(n). Factor a(x).
(x - 1)*(x + 2)
Let w(s) be the first derivative of -s**4/7 + 10*s**3/21 - 4*s**2/7 + 2*s/7 - 4. Solve w(p) = 0 for p.
1/2, 1
Let c = 291 - 6110/21. Let w(z) be the third derivative of 0*z - 4/21*z**3 + c*z**4 + 0 - 1/210*z**5 + z**2. Factor w(r).
-2*(r - 2)**2/7
Suppose v + 6 = -0. Let y(j) = j + 6. Let m be y(v). Factor -2/7 + m*u + 2/7*u**2.
2*(u - 1)*(u + 1)/7
Let m be (-284)/(-52) + 6 + -11. Factor -2/13*d**4 + m*d**2 + 4/13*d + 0 + 0*d**3.
-2*d*(d - 2)*(d + 1)**2/13
Factor -1/3 - 1/3*g**2 + 2/3*g**4 - g**3 + g.
(g - 1)**2*(g + 1)*(2*g - 1)/3
Let n(r) = r**2 + 2*r + 2. Let q be n(-2). Factor 8*u**3 + 4*u + 11*u + 1 + 1 + 18*u**q - 3*u.
2*(u + 1)**2*(4*u + 1)
Let a(b) be the second derivative of 0*b**3 + 0 - 6*b**2 - 3/20*b**5 + 3/4*b**4 + 2*b. Factor a(t).
-3*(t - 2)**2*(t + 1)
Let v(j) = -j + 3 - 5 + 4 - 4. Let i be v(-5). Suppose 2*m + m**5 + 4*m**2 - 4*m**4 - i*m**5 + 0*m**5 = 0. Calculate m.
-1, 0, 1
Let w(f) be the second derivative of -f**6/2 - f**5 - 5*f**4/12 + 15*f. Suppose w(m) = 0. Calculate m.
-1, -1/3, 0
Let s be 180/(-40)*2*(-4)/30. Determine x so that s*x - 1/5 + 8/5*x**3 - 12/5*x**2 = 0.
1/2
Let v(u) = -4*u**4 - 4*u**3 + 4*u**2 + 9*u. Let z(w) = -14*w + 3*w**4 + 3*w**4 - 27*w**2 + 21*w**2 + 6*w**3. Let j(b) = -8*v(b) - 5*z(b). Factor j(d).
2*d*(d - 1)*(d + 1)**2
Let a(s) = -13*s**5 + 8*s**4 + 8*s**3 - 16*s**2 - 4*s - 1. Let k(h) = -3*h**5 + 2*h**4 + 2*h**3 - 4*h**2 - h. Let l(o) = 2*a(o) - 9*k(o). Factor l(b).
(b - 2)*(b - 1)**2*(b + 1)**2
Suppose 0 = -4*t + 2*o - 8, 0 = 4*t - 0*t + 5*o - 20. Factor t - 4/5*d + 2/5*d**2.
2*d*(d - 2)/5
Let y(d) = -10*d**2 + 12*d + 14 + 0*d**2 + 0*d - d**3. Let f be y(-11). Let 1/3*k**5 - 1/3 - k - 2/3*k**2 + 2/3*k**f + k**4 = 0. What is k?
-1, 1
Suppose -4*g - 2*x - 50 = 0, 0 = -3*g - 0*x - 3*x -
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{
"pile_set_name": "DM Mathematics"
}
|
units digit of d?
8
Let p be 0/(-2 + (0 - 0)). Suppose p*b - 5*q - 275 = -5*b, -q = 5*b - 257. What is the tens digit of b?
5
Let y(k) = -k**3 - 5*k**2 - 4*k + 1. Let p be y(-5). Suppose 2 = -3*t + 4*t. Suppose 0 = -a - t*a + p. What is the units digit of a?
7
Suppose -v = -4*x - 20, 5*v - 2*v + 2*x - 130 = 0. Suppose v = 2*r + 3*r. What is the units digit of r?
8
Let n = -30 + 49. What is the tens digit of n?
1
What is the hundreds digit of (-2 - 1050/18)*-3?
1
Let p = 50 - 30. Suppose 2*v + 0*v = p. What is the units digit of v?
0
Let i(r) = 17*r - 45. What is the hundreds digit of i(10)?
1
Let k(o) = -o**3 + 5*o**2. Let h be k(5). Suppose -2*t + 30 = -s, t + h*s - 12 = -s. What is the tens digit of t?
1
Let b be (3 + 7/(-2))*-2. Let c = b + 1. Suppose c*a + 6 = 18. What is the units digit of a?
6
Let x = -4 - 3. Let j be (-2)/x - (-82)/7. Suppose -3*f + 18 = -0*f - 2*y, 0 = -4*y - j. What is the units digit of f?
4
Let j(d) = -d**3 + 4*d**2 + 5*d - 2. Let a be j(5). What is the units digit of (2 + a)/2 + 3?
3
Suppose u = -3*t + t + 48, -4*t = -5*u - 82. What is the tens digit of t?
2
Let n = 2 + 1. Suppose -19 = -2*t - n*f, -17 = -t - 2*f - f. Suppose -t*d + 1 = 5*x, 0 = -x + 5*d + 1 + 10. What is the units digit of x?
1
Let p(u) = -u**3 - 12 - 3*u**3 + u**2 + 13 - 2*u. Let t be p(1). Let i = 8 + t. What is the units digit of i?
4
Let g = -7 + 46. Let b be 4/(-10) + (-4)/(-10). Suppose b = -2*z - z + g. What is the tens digit of z?
1
Let v = 0 - -31. What is the tens digit of v?
3
Let i(b) = 24*b. Let c be i(1). Suppose -5*j = -8*j + c. What is the units digit of j?
8
Let m(t) = -t**3 + 7*t**2 - 7*t + 9. Let x = 15 + -9. Let o be m(x). Suppose 2 = -o*q + 5. What is the units digit of q?
1
Let b be 0/(-2 + 4) - -2. Suppose b*f + 12 = 5*f. What is the units digit of f?
4
Suppose -16*d + 1030 = -666. What is the units digit of d?
6
Suppose -5*t - v = -64, 3*v - 60 = -2*t - 2*t. Suppose -g + 6 = -t. What is the tens digit of g?
1
Let x = 130 - 65. What is the units digit of x?
5
Let n = -20 + 35. Suppose 5*d + 0 = n. What is the units digit of d?
3
Suppose -6*n + 4*n + 8 = 0. Let w = 11 - -3. Suppose -3*y + 5 = m - n*y, -m = -4*y - w. What is the units digit of m?
2
Suppose 34 = 5*i - 3*z - 53, 4*z = -2*i + 14. What is the units digit of i?
5
Suppose -3*b = -5*u + 981, 2*u + 2*u - 4*b = 780. What is the tens digit of u?
9
Let w = -7 + 9. Suppose -20 = -4*c, -3*t + w*c = 6*c - 74. What is the units digit of t?
8
Let c be (-12)/66 + 26/22. What is the tens digit of ((-56)/(-35))/(c/25)?
4
Let x(z) = -z**3 + 1 + 1 + 4*z - 1 + z**2 + z**2. What is the units digit of x(3)?
4
Let l(r) = 6*r**2 + 3*r - 14. What is the units digit of l(3)?
9
Suppose k + 6 = -2*k. Let p(j) = -7*j**3 - j. Let r be p(1). Let w = k - r. What is the units digit of w?
6
Let l(m) = -4*m**2 - 5*m + 2. Let q be l(-5). Let n = -47 - q. What is the units digit of n?
6
Let m = 24 - -58. What is the tens digit of m?
8
Let s(r) = 7*r**2 - 3. Let n(u) = -15*u**2 + 5. Let b(h) = -3*n(h) - 5*s(h). What is the units digit of b(-1)?
0
Let x(y) = 13*y**2. Let v be x(-1). Suppose -v - 9 = -2*n. What is the units digit of n?
1
Suppose 0 = 5*y - 2*y - 6. What is the units digit of (y/(-6))/(3/(-90))?
0
Let f(c) = 2*c**2 - 2*c. Suppose 0*u - 9 = -3*u. What is the tens digit of f(u)?
1
Let j be 29 + (5 + -1)/1. Suppose u + 0*u = j. What is the tens digit of u?
3
Suppose -3*f - 53 = -83. What is the tens digit of f?
1
Suppose 0 = 2*y - 189 + 9. What is the units digit of y?
0
Let x be (-1 - 0)*(-3 - 1). Suppose i = 3, 0 = -n - 0*n - x*i + 17. Suppose 0*c + 15 = n*c. What is the units digit of c?
3
Let k(j) = -j**3 - 14*j**2 - 11*j - 22. What is the tens digit of k(-15)?
6
Suppose 0 = 38*c - 34*c - 504. What is the tens digit of c?
2
Let i = -57 + 121. What is the tens digit of i?
6
Suppose -3*r - 6 = 0, -2*y = -0*r + 2*r - 62. What is the tens digit of y/((-2)/(-4) - -1)?
2
Let z = -5 - -3. What is the units digit of (-1 - (z + -2)) + 1?
4
Let q = -8 + 27. What is the tens digit of q?
1
Suppose 0 = -d - 5*z + 5, 3*d - 5*z + 5 + 0 = 0. Let i(k) = -k**2 + k + 5. What is the units digit of i(d)?
5
Let f = -4 - 5. What is the units digit of (-10)/(-6)*f/(-3)?
5
Suppose -17*h + 155 = -12*h. Let u = h + -12. What is the units digit of u?
9
Suppose 3*u - 4 = f, 8 = 5*f - 4*u + 3*u. Suppose 65 = -f*o + 7*o. What is the units digit of o?
3
Suppose -m + 8 = -5*x - 0*x, -3*m + 7 = 2*x. Suppose -m*o - 12 = 0, -3*d - 5*o = -8*d + 155. What is the units digit of d?
7
Suppose 117 = -5*j + 32. Let x = j - -39. What is the units digit of x?
2
Suppose -9*g + 396 = -3*g. What is the units digit of g?
6
Suppose 0 = n + n. Suppose n*r - 8 = -r. What is the units digit of r?
8
Let i = 67 + -55. What is the units digit of i?
2
Suppose 4*w - 34 = -2*b + 2, 2*w = 0. Suppose -5*g + b = -4*j - 4*g, j = -2*g - 9. What is the units digit of 5 + (j + 2 - -5)?
7
Suppose 2*c + 3*i - 98 = 0, 0 = 2*c - 2*i - i - 86. What is the units digit of c?
6
Let n(u) = -2*u + 3 + u + 1 + 1. Let d be n(0). Suppose 2*i + 2*i - 29 = d*p, i - 3*p - 2 = 0. What is the units digit of i?
1
Let o(r) = -r**3 - 2*r**2 + 3*r - 2. Let z = 0 + -5. Let q be o(z). Suppose 0 = 4*h + 4, -2*h - h = -5*t + q. What is the tens digit of t?
1
Let c(f) = f + 4. Let u be c(-9). What is the units digit of (-3 - u)/2 + 2?
3
Let k = -55 - -286. What is the hundreds digit of k?
2
Let i = 103 + -42. What is the tens digit of i?
6
Let g = -16 - -18. Suppose -4*f + 4*r = 0, 3*f = -g*r + 3*r + 10. What is the units digit of f?
5
Let r(k) = -k**3 + 3*k**2 + 4. Let d be r(3). Suppose 8 = d*z - 0. Suppose q + 2*y - 7 = 0, q - 4 = -3*y + z. What is the units digit of q?
9
Suppose 2*y = u - 0*u, 3*y = -5*u + 52. Suppose 0 = -3*c - 4*o + 19, 51 = 2*c + 3*o - u*o. What is the tens digit of c?
1
Let s be (42/(-4))/(2/(-4)). Let y = 1 + s. What is the tens digit of y?
2
Let r be (4/(-6))/((-2)/30). Let i = 14 - r. Suppose -8 - 8 = -3*m + t, -i = -5*m - 4*t. What is the units digit of m?
4
Suppose -u = -4*i - 2 - 4, 2*i + 24 = 4*u. What is the units digit of 3/u + (-9)/(-2)?
5
Suppose 4*u - 123 + 39 = 0. Suppose -5*r + 2*r + u = 0. What is the units digit of r?
7
Suppose -4*z = -3*i - 170, i + 16 + 44 = 2*z. What is the units digit of i/(-15) - 4/(-6)?
4
Suppose h - 12 = 5*a + 6, 3*h - 2*a - 93 = 0. Let s be h/6 + (-2)/4. Let q = s + -1. What is the units digit of q?
4
Let s = -7 + 10. Let d be ((-1)/2)/((-1)/10). Suppose 2*b - d*v = -11, v - 6 = -s*b + 3. What is the units digit of b?
2
Let h(i) = 7*i - 1. Let j be h(-1). What is the units digit of (-6)/j*(1 - -7)?
6
Let t be (1 - 2) + -7 + 8. Suppose 3*k + 26 - 104 = t. What is the tens digit of k?
2
Let y be (-10)/15 - (-226)/6. Suppose 4*s + 4*m = 48, 4*s - 11 = -2*m + y. What is the tens digit of s?
1
Suppose 3*y = -u - 2*y + 28, -4*y + 26 = 2*u. Suppose 2 = a + u. Let p = 3 + a. What is the units digit of p?
2
Let j(r) = 5*r**3 - 2*r**2 - 2*r + 2. Let k be j(2). Suppose -1 - 2 = -u. Suppose -k = m - u*m. What is the tens digit of m?
1
Let n(a) = 2*a**3 - a**2 - a. What is the units digit of n(2)?
0
Let r(a) = -a**3 - 4*a**2 + 6*a - 5. Let k(q) = -q**3 - q**2 + q - 1. Let s(o) = -2*k(o) + r(o). What is the units digit of s(2)?
5
Suppose 3*z - 2 = 2*z. Let l(f) = 10*f**2 + 2*f - 1. Let t be l(z). Suppose -t + 3 = -4*y. What is the units digit of y?
0
Suppose 94*u = 95*u - 64. What is the tens digit of u?
6
Let r = -6 - -38. What is the units digit of r?
2
Suppose -2*p + 284 = 5*i - 0*p, 110 = 2*i - p. What is the tens digit of i?
5
What is the units digit of ((-22)/11)/(4/(-86))?
3
Let g = 38 - -18. Suppose -g = 2*w + 4*t - 168, -3*w - 5*t + 165 = 0. Let i = w + -36. What is the tens digit of i?
1
Let v be (-86)/6 + 34/(-51). Let z = v + 59. What is the units digit of z?
4
Suppose 0 = -2*x + 5*x. Suppose 3*f + x*g + 3*g = 18, -3*f + 3*g = -6. Suppose 0 = f*n - 7 - 1. What is the units digit of n?
2
Suppose -20 = -5*k + 5. Suppose 5*l - 40 = -k*u + 20, 8 = 3*l - 4*u. Let o = -5 + l. What is the units digit of o?
3
Let l(j) = -j**2 + 9*j - 2. What is the tens digit of l(7)?
1
Let h = -4 - -2. Let j be (-37 + 3)*1 + h. What is the units digit of (-170)/(-12) - (-6)/j?
4
Let d be (-3)/((3/2)/(-1)). Let j = 9 - 7. Suppose -d*
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{
"pile_set_name": "DM Mathematics"
}
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+ 4. Give s*n(z) - 3*x(z).
3*z**2 + z - 2
Let x = -22 - -22. Suppose -4*g - 3 + 7 = x. Let v(l) = -l**3 - 5 - 3 + 5 + 4. Let r(w) = w**3 - w**2 - w - 3. Give g*r(n) + 3*v(n).
-2*n**3 - n**2 - n
Let f(u) = 258*u**3 + u**2 + 2*u. Let v(w) = w**3 + w**2 + 2*w. Determine f(q) - v(q).
257*q**3
Let r(z) = -3. Let b(a) = -7. Let f(j) = -6*b(j) + 15*r(j). Let n(h) = h - 4. Let v(y) = -25*y - 1596. Let i be v(-64). Determine i*f(p) - 3*n(p).
-3*p
Let h(a) = a**2 + 128*a - 171*a - 2*a**2 + 46*a. Suppose 40 = 4*j - 0*j. Let r(m) = -4*m**2 + 10*m. Give j*h(c) - 3*r(c).
2*c**2
Let o(b) = 91*b - 19. Let a(t) = -273*t + 64. Calculate -2*a(y) - 7*o(y).
-91*y + 5
Let x(o) = -o**2 - o - 1. Let t(a) = -2*a**3 - 3*a**2 + a - 4. What is -t(v) + 4*x(v)?
2*v**3 - v**2 - 5*v
Let y(h) = 10*h**3 + 7*h**2 + 364. Let m(u) = 3*u**3 + 2*u**2 + 122. Determine 7*m(s) - 2*y(s).
s**3 + 126
Let f(s) = s**2 - s. Let d(b) = -3*b**2 + 5*b - 2. Give -d(c) - f(c).
2*c**2 - 4*c + 2
Let u(v) = 8*v + 6. Let p(w) = -7*w - 5. Let m be (-8)/3*63/(-6). Let t = -23 + m. Suppose -4*b + 3*b + 22 = -t*r, 3*r = 4*b - 3. Determine r*u(i) - 6*p(i).
2*i
Let q(i) = 4*i**3 - 4*i**2 + 3*i - 3. Let j(d) = -7*d**2 - 9*d**3 - 5 + 33*d**3 - 10*d**3 - 7*d**3 + 5*d. What is -3*j(s) + 5*q(s)?
-s**3 + s**2
Let v(u) = 7*u**2 + 22*u - 3. Let f(j) = -j**2 - 2*j. What is -4*f(r) - v(r)?
-3*r**2 - 14*r + 3
Let r(b) = 1. Let p(m) = -m + 1. Let w be 1 + (-12)/8 - (-3)/(-6). What is w*p(s) + 5*r(s)?
s + 4
Let t(s) = -5*s**2 + s**3 + 4 + 5*s**3 + 1. Suppose -5*v = -9 - 6. Let l(j) = -3*j**3 + 2763 - 3*j**2 + 7*j**3 - j**3 - 2760. Give v*t(b) - 5*l(b).
3*b**3
Let w(r) = r**2 - 5*r + 1. Let s(l) = 7*l**2 - 14*l + 22. Let u(q) = s(q) - 2*w(q). Let x(n) = 6*n**2 - 5*n + 21. Give -5*u(v) + 4*x(v).
-v**2 - 16
Let y(x) = 6*x**3 - 5*x**2 + 5. Let c(i) = -i**3 + i**2 - 1. Let u = 332 - 329. Determine u*c(w) + y(w).
3*w**3 - 2*w**2 + 2
Let c(j) = -13*j**2 - 115*j + 14. Let d(t) = -11*t**2 - 115*t + 12. What is 6*c(g) - 7*d(g)?
-g**2 + 115*g
Let z(u) = 3*u**3 + 2*u**2 + 1. Suppose g = -4*f - 21, -6*f + 3*g = -7*f - 8. Let h(k) = -6*k**3 - 5*k**2 - 3. Determine f*z(v) - 2*h(v).
-3*v**3 + 1
Let i(x) = x + 1. Let t(w) = 29*w + 2. Calculate -3*i(l) + t(l).
26*l - 1
Let w(b) = -b - 1. Let u(o) = 4*o - 3. Let m(q) be the third derivative of q**4/6 - q**3/3 + 18*q**2. Let c(r) = -6*m(r) + 5*u(r). Give c(x) - 5*w(x).
x + 2
Let m(h) = -5*h + 30. Let a(n) = -10 + 10 - 1. Give 30*a(t) + m(t).
-5*t
Let i(z) = z**2 - 2*z - 3. Let u be i(-2). Let a be 4/u*(-135)/(-54). Let n(p) = -5*p + 25. Let t(y) = y - 6. Give a*n(f) + 9*t(f).
-f - 4
Suppose -78*p - 3 = -79*p. Suppose -5*i + 29 = -4*b, -3*i + 12 = p*b - 0. Let k(f) = -f**3 + 5*f**2. Let v(w) = -4*w**2. Give i*v(u) + 4*k(u).
-4*u**3
Let r(c) = 2*c - 4. Let i(d) = -d - 1. Give 3*i(n) + r(n).
-n - 7
Let g(u) = u - 6. Let b(s) = -4 - 14 - 13*s + 5 + 15*s. Suppose -o = 4*o + 10. Calculate o*b(k) + 5*g(k).
k - 4
Let q(x) = 2*x**3 - 2*x**2 - 4*x. Let t be 2/(-9) - ((-10088)/72)/(-13). Let b(m) = -10*m**3 + 11*m**2 + 21*m. Give t*q(h) - 2*b(h).
-2*h**3 + 2*h
Let r(c) = 35*c + 211. Let a be r(-6). Let j(w) = -8*w**2 - 4*w - 2. Let k(o) = -o**2 - o - 1. Calculate a*j(q) - 4*k(q).
-4*q**2 + 2
Let j(c) = 4*c**2 + 7*c + 3. Let h(a) be the first derivative of -3*a**3 - 15*a**2/2 - 7*a + 24. Calculate -3*h(z) - 7*j(z).
-z**2 - 4*z
Let v(z) = 3*z**2 + 2*z + 8. Let h(s) = s**2 + s - 1. Let u(m) = -3*m**2 - 4*m + 5. Let o(l) = -4*h(l) - u(l). What is -4*o(j) - v(j)?
j**2 - 2*j - 4
Let a(i) = -i + 2. Suppose 2*v + 8 = -2*u + 22, v - 3 = 0. Suppose u*k + 6 = 6*k. Let g(o) = k - 10 + 6. Determine -a(x) - 3*g(x).
x + 1
Let j(b) = -b + 2. Let k(y) be the first derivative of -y - 71. Calculate j(f) - 2*k(f).
-f + 4
Let k(t) = -88*t**3 + 2*t**2 + 4. Let y(u) = 88*u**3 - u**2 - 3. Give -2*k(c) - 3*y(c).
-88*c**3 - c**2 + 1
Let v(a) = 3*a**3 + 6*a**2 + 3*a. Let n(r) = r**3 - 3*r**2 - r + 2. Give -n(l) + v(l).
2*l**3 + 9*l**2 + 4*l - 2
Suppose 4*k - 2*s + 6 = 0, -5 + 26 = -4*k + 5*s. Let m(u) = -u**2 + u. Let o(a) = 8*a**3 - 4*a**2 + 4*a. What is k*o(g) - 4*m(g)?
8*g**3
Let k(t) = -13*t**3 + 14*t**2 + 8*t. Let s(l) = 12*l**3 - 13*l**2 - 7*l. Determine 6*k(x) + 7*s(x).
6*x**3 - 7*x**2 - x
Let k(l) = l**3 - 16*l**2 + 17*l - 34. Let x be k(15). Let q(m) = 8*m + 7. Let f(z) be the first derivative of -2*z**2 - 4*z + 15. Calculate x*q(g) - 7*f(g).
-4*g
Suppose 16*o - 34 = 78. Let d(b) = 14*b**2 + 9*b**3 + 0*b + 6*b - 8*b**2. Let s(c) = -10*c**3 - 7*c**2 - 7*c. Give o*d(r) + 6*s(r).
3*r**3
Let u(n) = -2*n - 4. Let d(t) = t**2 - 3*t - 5. Let h(g) = -2*g**3 + 34*g**2 - 2*g + 36. Let l be h(17). Give l*d(c) - 3*u(c).
2*c**2 + 2
Let r(n) = -n**2 + n. Let t(o) = -o**2 + o - 2. What is -2*r(b) + t(b)?
b**2 - b - 2
Let v(c) = -3*c**2 + 9*c + 1. Suppose 0 = -s + 4*s, 2*z + 4*s = 12. Let l(a) = 4*a**2 - 10*a - 1. Give z*l(p) + 7*v(p).
3*p**2 + 3*p + 1
Let p(x) = 2*x**3 - 15*x**2 + 3*x + 5. Let k(s) = 7*s**2 - s - 3. Let h(q) = 5*k(q) + 2*p(q). Let j(m) = -m**3 - m**2 + 1. Give h(u) + 5*j(u).
-u**3 + u
Let q(h) = 49*h + 2. Let n(c) = c. What is -3*n(j) + q(j)?
46*j + 2
Let q(d) = 8*d. Let m(k) = 4*k - 1. What is 3*m(t) - q(t)?
4*t - 3
Let f(x) = -31*x + 4. Let q(z) = 3*z. What is f(p) + 2*q(p)?
-25*p + 4
Let l(x) = 4*x**2 + 69*x + 4. Let o(v) = 11*v**2 + 208*v + 11. Calculate -17*l(k) + 6*o(k).
-2*k**2 + 75*k - 2
Let t(w) = w**3 - w + 1. Let b(v) = -6*v**2 + 2*v - 5. Let z(a) = -b(a) + 2*t(a). Let j(s) = 4*s**3 + 13*s**2 - 9*s + 15. Calculate -6*j(l) + 13*z(l).
2*l**3 + 2*l + 1
Let c(m) be the first derivative of -22 - 1/3*m**3 + 1/2*m**2 + 4*m. Let o(f) = -5*f**2 + 5*f + 21. What is -11*c(q) + 2*o(q)?
q**2 - q - 2
Suppose 3*i = -2*f + 3, 2*i + 2*f = 3*f + 9. Let b(n) = -39*n**2 + 40*n**2 - i*n + 2*n. Let t(j) = j**2 - 3*j - 1. What is 3*b(u) - t(u)?
2*u**2 + 1
Let l(u) = -21*u**2 - 8*u - 9. Let t be (4/(-8))/(2/4). Let g = -16 - t. Let m = -6 - g. Let x(a) = 5*a**2 + 2*a + 2. Determine m*x(c) + 2*l(c).
3*c**2 + 2*c
Let w(t) be the first derivative of -t**4/2 - t**3 - 3*t - 1. Suppose 10 = 2*v - 3*a, 10 = 13*a - 8*a. Let z(i) = 6*i**3 + 8*i**2 + 8. Give v*w(m) + 3*z(m).
2*m**3
Let b(y) = -y - 1. Let w(k) = k. Give -2*b(i) - 18*w(i).
-16*i + 2
Let d(y) = -5*y - 2. Let k(l) be the third derivative of -l**4/4 - l**3/2 - 6*l**2 - 1. What is -3*d(z) + 2*k(z)?
3*z
Let n(q) = 12*q + 11. Let r = -7 - -5. Let d(h) be the third derivative of 1/24*h**4 + 0*h + 1/6*h**3 - 38*h**2 + 0. Calculate r*n(k) + 22*d(k).
-2*k
Let c(q) = 4*q**2 - 3*q + 3. Let s(y) = 4*y + 78. Let f be s(-23). Let k(n) = -9*n**2 + 7*n - 7. Give f*c(d) - 6*k(d).
-2*d**2
Let x(l) = 29*l**3 - 14*l**2. Let t(z) = 7*z**3 - 3*z**2. What is -26*t(v) + 6*x(v)?
-8*v**3 - 6*v**2
Let v(k) = 2*k + 18. Let j(b) = -2*b - 20. Determine 5*j(m) + 6*v(m).
2*m + 8
Let m(b) = -3*b**2. Let d = -141 - -148. Let k(q) = -q**3 - 6*q + 2*q + 8*q**2 + 13 + 3 - 6*q. Let c be k(d). Let v(h) = h**2. Calculate c*m(u) - 18*v(u).
-3*u**2
Let s(f) = 935*f - 99. Let t(h) = 117*h - 12. Determine -4*s(m) + 33*t(m).
121*m
Let s(u) = -17*u - 82. Let r(t) = -27*t - 124. Calculate 5*r(f) - 8*s(f).
f + 36
Let w(i) = -3*i - 28 + 17 - 17*i + 16. Let p(z) = -7*z + 2. What is -11*p(l) + 4*w(l)?
-3*l - 2
Let v(r) = 7*r + 7. Let i(f) = -6*f - 6. Give 5*i(l) + 4*v(l).
-2*l - 2
Let d(p) = 3*p + 2. Let x = -4 - -8. Let l(i) be the first derivative of -3*i**2/2 - i - 1601. What is x*l(z) + 3*d(z)?
-3*z + 2
Let l(y) = -4*y**3 + 3*y. Let t be (-2)/(-17) + (-392)/(-136) + -9. Let p(i) = 5*i**3 - 2*i. Give t*p(v) - 4*l(v).
-14*v**3
Let d(z) = -2*z + 1 + 4*z - 3*z. Let l(v) = -6*v + 6. Suppose 41 - 42 = p - 5*q, -4*p = q + 4. What is p*l(f) + 8*d(f)?
-2*f + 2
Let q(j) = -3*j**2 + 2*j + 4. Let v(p) = -15*p**2 + 11*p + 19. Let s(g) = g**3 + 4*g**2 - 8*g - 34. Let a be s(-4). Determine a*v(f) + 11*q(f).
-3*f**2 + 6
Let d(p) = -5*p**2 + 2. Let b(r) = r**3 - 15*r**2 - 32*r - 45. Let u be b(17). Let i(j) = 25*j**2 - 11. Give u*d(s) - 2*i(s).
5*s**2
Let h(x) = -x + 6. Let n(d) = -d + 5. Let o(r) = r**2 - r + 3. Let t be o(0). Suppose -l = -u - 2, 0 = 4*u + 28 - 12. Give l*h(m) + t*n(m).
-m + 3
Let z(l) = -495*l**2 + 11*l. Let n(q) = -124*q**2 + 3*q. Give -11*n(m) + 3*z(m).
-121*m**2
Let b(c) = -2*c**2 + 5*c + 5. Suppose -14*s +
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 65?
14
Calculate the remainder when 32 is divided by 20.
12
What is the remainder when 710 is divided by 65?
60
What is the remainder when 826 is divided by 18?
16
Calculate the remainder when 1378 is divided by 137.
8
Calculate the remainder when 3127 is divided by 41.
11
What is the remainder when 378 is divided by 98?
84
Calculate the remainder when 2157 is divided by 27.
24
What is the remainder when 222 is divided by 75?
72
Calculate the remainder when 695 is divided by 29.
28
What is the remainder when 57 is divided by 18?
3
Calculate the remainder when 10132 is divided by 3377.
1
Calculate the remainder when 150 is divided by 51.
48
Calculate the remainder when 134 is divided by 72.
62
What is the remainder when 1027 is divided by 115?
107
Calculate the remainder when 2015 is divided by 107.
89
Calculate the remainder when 158 is divided by 70.
18
Calculate the remainder when 332 is divided by 6.
2
What is the remainder when 9693 is divided by 745?
8
Calculate the remainder when 305 is divided by 44.
41
Calculate the remainder when 424 is divided by 35.
4
What is the remainder when 1122 is divided by 15?
12
What is the remainder when 85 is divided by 10?
5
Calculate the remainder when 80 is divided by 20.
0
Calculate the remainder when 537 is divided by 77.
75
What is the remainder when 161 is divided by 59?
43
Calculate the remainder when 1641 is divided by 208.
185
What is the remainder when 160 is divided by 55?
50
Calculate the remainder when 8309 is divided by 30.
29
Calculate the remainder when 503 is divided by 36.
35
What is the remainder when 16657 is divided by 14?
11
What is the remainder when 886 is divided by 12?
10
Calculate the remainder when 160 is divided by 17.
7
Calculate the remainder when 1164 is divided by 26.
20
What is the remainder when 4991 is divided by 32?
31
What is the remainder when 4792 is divided by 6?
4
What is the remainder when 382 is divided by 98?
88
Calculate the remainder when 2397 is divided by 75.
72
What is the remainder when 61 is divided by 13?
9
Calculate the remainder when 1275 is divided by 128.
123
What is the remainder when 647 is divided by 36?
35
Calculate the remainder when 161 is divided by 105.
56
What is the remainder when 192 is divided by 49?
45
What is the remainder when 80 is divided by 22?
14
What is the remainder when 83 is divided by 38?
7
Calculate the remainder when 813 is divided by 117.
111
Calculate the remainder when 1637 is divided by 78.
77
Calculate the remainder when 5436 is divided by 85.
81
Calculate the remainder when 1463 is divided by 24.
23
Calculate the remainder when 81547 is divided by 233.
230
What is the remainder when 97 is divided by 44?
9
Calculate the remainder when 777 is divided by 3.
0
Calculate the remainder when 171 is divided by 36.
27
What is the remainder when 4016 is divided by 50?
16
Calculate the remainder when 2551 is divided by 1275.
1
What is the remainder when 67552 is divided by 229?
226
Calculate the remainder when 969 is divided by 271.
156
What is the remainder when 97 is divided by 20?
17
Calculate the remainder when 82 is divided by 36.
10
What is the remainder when 5794 is divided by 223?
219
What is the remainder when 1131 is divided by 26?
13
Calculate the remainder when 2661 is divided by 74.
71
Calculate the remainder when 591 is divided by 303.
288
What is the remainder when 9003 is divided by 99?
93
What is the remainder when 5967 is divided by 21?
3
Calculate the remainder when 25 is divided by 8.
1
What is the remainder when 10120 is divided by 81?
76
What is the remainder when 1132 is divided by 185?
22
What is the remainder when 9689 is divided by 5?
4
What is the remainder when 1232 is divided by 19?
16
What is the remainder when 364 is divided by 16?
12
Calculate the remainder when 50 is divided by 50.
0
Calculate the remainder when 528 is divided by 9.
6
Calculate the remainder when 824 is divided by 36.
32
Calculate the remainder when 165 is divided by 10.
5
What is the remainder when 5014 is divided by 88?
86
What is the remainder when 406 is divided by 113?
67
What is the remainder when 319 is divided by 43?
18
What is the remainder when 2817 is divided by 83?
78
What is the remainder when 1367 is divided by 17?
7
What is the remainder when 130 is divided by 26?
0
Calculate the remainder when 460 is divided by 58.
54
What is the remainder when 211 is divided by 147?
64
What is the remainder when 4317 is divided by 12?
9
What is the remainder when 114 is divided by 67?
47
What is the remainder when 713 is divided by 14?
13
Calculate the remainder when 302 is divided by 101.
100
Calculate the remainder when 254 is divided by 85.
84
What is the remainder when 964 is divided by 22?
18
Calculate the remainder when 235 is divided by 4.
3
Calculate the remainder when 261 is divided by 24.
21
What is the remainder when 199 is divided by 8?
7
What is the remainder when 597 is divided by 235?
127
Calculate the remainder when 560 is divided by 179.
23
Calculate the remainder when 368 is divided by 9.
8
What is the remainder when 37 is divided by 25?
12
What is the remainder when 646 is divided by 6?
4
Calculate the remainder when 695 is divided by 28.
23
What is the remainder when 1168 is divided by 128?
16
Calculate the remainder when 162 is divided by 153.
9
What is the remainder when 199 is divided by 8?
7
What is the remainder when 997 is divided by 106?
43
What is the remainder when 2212 is divided by 85?
2
Calculate the remainder when 2637 is divided by 30.
27
What is the remainder when 129 is divided by 61?
7
Calculate the remainder when 1059 is divided by 56.
51
Calculate the remainder when 428 is divided by 341.
87
What is the remainder when 372 is divided by 25?
22
Calculate the remainder when 444 is divided by 29.
9
What is the remainder when 169 is divided by 59?
51
What is the remainder when 2601 is divided by 375?
351
Calculate the remainder when 480 is divided by 21.
18
What is the remainder when 31 is divided by 11?
9
Calculate the remainder when 215 is divided by 36.
35
Calculate the remainder when 17036 is divided by 60.
56
What is the remainder when 197 is divided by 37?
12
What is the remainder when 47 is divided by 8?
7
Calculate the remainder when 144 is divided by 61.
22
Calculate the remainder when 248 is divided by 36.
32
What is the remainder when 416 is divided by 16?
0
Calculate the remainder when 129 is divided by 22.
19
What is the remainder when 15 is divided by 6?
3
What is the remainder when 1742 is divided by 27?
14
Calculate the remainder when 7468 is divided by 15.
13
Calculate the remainder when 19099 is divided by 48.
43
Calculate the remainder when 4319 is divided by 54.
53
Calculate the remainder when 10005 is divided by 11.
6
What is the remainder when 140 is divided by 41?
17
What is the remainder when 8579 is divided by 13?
12
Calculate the remainder when 9548 is divided by 15.
8
What is the remainder when 3695 is divided by 6?
5
Calculate the remainder when 3450 is divided by 687.
15
What is the remainder when 72 is divided by 19?
15
What is the remainder when 200 is divided by 92?
16
What is the remainder when 4337 is divided by 124?
121
What is the remainder when 95 is divided by 82?
13
Calculate the remainder when 169 is divided by 43.
40
Calculate the remainder when 2430 is divided by 122.
112
What is the remainder when 265 is divided by 17?
10
What is the remainder when 153 is divided by 31?
29
What is the remainder when 3491 is divided by 66?
59
Calculate the remainder when 1103 is divided by 71.
38
Calculate the remainder when 552 is divided by 253.
46
What is the remainder when 1056 is divided by 242?
88
Calculate the remainder when 137 is divided by 123.
14
Calculate the remainder when 307 is divided by 37.
11
Calculate the remainder when 134 is divided by 15.
14
What is the remainder when 4000 is divided by 29?
27
What is the remainder when 514 is divided by 154?
52
What is the remainder when 1827 is divided by 263?
249
What is the remainder when 1122 is divided by 25?
22
Calculate the remainder when 263 is divided by 38.
35
What is the remainder when 728 is divided by 67?
58
Calculate the remainder when 183 is divided by 113.
70
Calculate the remaind
|
{
"pile_set_name": "DM Mathematics"
}
|
(-10)/f)/((-4)/(-12))?
1
Let i(h) = 2*h**2 - 7*h + 14. Let d(l) = 3*l**2 - 11*l + 21. Let o(q) = 5*d(q) - 7*i(q). Let m be 6/9 - (-13)/3. What is the units digit of o(m)?
2
Let d(o) = -27*o + 9. What is the units digit of d(-3)?
0
Let v(n) = n**3 - n**2 - n - 11. Let r be v(0). Let h = r + 16. Suppose 3*q = i - 7, 6 = 4*i + 5*q - h. What is the units digit of i?
4
Let m = -59 + 97. What is the units digit of m?
8
What is the units digit of (11/(-22))/((-1)/14)?
7
Let d = 6 + -3. Suppose -t + d*t = 0. Suppose 5*r = -4*q - 17, t = -2*r + 4 - 14. What is the units digit of q?
2
Suppose -2*y - 3*o = -20, 24 + 9 = 5*y - o. Suppose y*j = 4*j + 63. What is the tens digit of j?
2
Suppose 0 = 2*l + 3*s - 18, 6*l = l + 2*s + 26. Suppose a = l*a - 55. What is the units digit of a?
1
Let y(r) = -r**2 + 3*r - 2. Let m be y(4). What is the units digit of (m/9)/(6/(-171))?
9
Let f(z) = -z**3 + 7*z**2 + 2*z. Let u be f(5). Suppose 5*o + 0 = u. What is the units digit of o?
2
Let o be (-5)/(-2)*(-8)/(-10). Suppose -4*m + o = -10. Suppose -y = -m*y + 10. What is the units digit of y?
5
Let j = 12 + -8. Suppose 0 = -j*o + 5*k + 59, 2*k = -2*o + 21 - 5. What is the tens digit of o?
1
Let z = -60 + 106. What is the tens digit of z?
4
Let a(j) = -j**2 + j + 7. Let p be a(0). What is the units digit of 16/(7/(p/2))?
8
Suppose 0 = 2*m - 4*m - w + 147, 0 = -3*m + 5*w + 253. What is the tens digit of m?
7
Let c(u) = -u - 6. Let r be c(-5). Let a = 1 - r. Suppose -7*s = -a*s - 15. What is the units digit of s?
3
Suppose 5*y - 3*o + o - 243 = 0, y - 3*o = 46. Suppose -5*w + w + 12 = 0, 3*w - y = -2*c. Let b = c + -8. What is the tens digit of b?
1
Let u(s) = -3*s - 9. What is the tens digit of u(-19)?
4
Suppose 6*o - 5*o = -2*z + 20, -2*z = -8. Suppose 4*g - o = -0*g. What is the units digit of 8/(-12) + 47/g?
5
Let h(i) = -i**3 - 5*i**2 + 5*i - 3. Let u be 4*(-3)/(-6)*-3. What is the units digit of h(u)?
3
Suppose 28 = -2*a + 4*a + 4*f, -2*a + 2*f + 40 = 0. What is the units digit of a?
8
Suppose 2*n - 7 - 22 = -5*i, 0 = 5*n - 3*i - 26. Suppose -3*a = n + 5. What is the units digit of (-8)/(-3)*(-6)/a?
4
Suppose -3*v + 7 + 38 = 0. What is the units digit of v?
5
Suppose -4*a - 366 = -10*a. What is the units digit of a?
1
What is the units digit of (-116)/(-3) - (-16)/(-24)?
8
Let x be 0 - (-1 + -2 + 0). Suppose x*y = -0*y + 39. What is the tens digit of y?
1
Let g = 24 + -10. What is the tens digit of g?
1
Let r = 2 + 6. Suppose o - r = -3*s + 3*o, 3*s + 3*o - 33 = 0. What is the units digit of s?
6
Let x(g) = 3*g**2 + 4*g + 5. What is the units digit of x(-2)?
9
Let h(d) = -d**3 - 8*d**2 - 8*d - 3. Let m be h(-7). Let w(f) = -f + 9. What is the units digit of w(m)?
5
Let v be 3/(-2) - (-1)/2. Let j = v - -5. What is the units digit of j?
4
Let p = 5 + 2. What is the units digit of p?
7
Suppose -4*q = 3*d + 9, -2*q + 2*d = d - 3. Let n(m) = -1 + 0*m + q*m + m. What is the units digit of n(9)?
8
Suppose -24*t + 2613 = -11*t. What is the hundreds digit of t?
2
Suppose -32 = -0*k - k - 4*n, 0 = 5*n. Suppose -15 = -p - l, 4*p - k = 4*l + 44. What is the units digit of p?
7
Let t(w) = 2*w**2 - 3*w - 5*w**2 + 12*w**2. What is the units digit of t(2)?
0
Let c(s) = s**3 + 8*s**2 + 7*s + 6. Suppose -5*m - 2 = 3, -2*l - 2*m - 16 = 0. What is the units digit of c(l)?
6
Let y(i) = 4*i**2 - 10*i - 17. What is the tens digit of y(-8)?
1
Let k(z) = z**3 + 12*z**2 + 10*z + 14. What is the tens digit of k(-11)?
2
Let f(x) be the second derivative of -x**5/20 + x**4/3 + 2*x**3/3 - 2*x**2 + 2*x. What is the tens digit of f(3)?
1
Let r be 82/10 - 1/5. Let d(u) = -4 - 1 - r*u - u**3 - 3 - 7*u**2. What is the units digit of d(-6)?
4
Let n(k) = -4*k**2 - 6*k + 5. Let t(o) = o**2 + o - 1. Let d(u) = n(u) + 5*t(u). What is the tens digit of d(-4)?
2
Let n be (-20)/(-8) + (-3)/(-6). Suppose 0 = -v + 1, n*v + 13 = 3*z - 20. What is the units digit of z?
2
Let f(i) = -i**3 - 3*i**2 - 1. Let x be f(-4). What is the units digit of x/((-2 - 1) + 4)?
5
Let h(y) = 10*y - 4. Suppose j - 2 = 1. What is the tens digit of h(j)?
2
What is the units digit of 22/(5 + 6/(-1 + -1))?
1
Let a(r) be the second derivative of r**4/12 - r**3/2 - 5*r**2/2 - 2*r. What is the units digit of a(5)?
5
Let x(o) = -4*o**2 - 3*o + 6. Let t(k) = 3*k**2 + 3*k - 6. Let i(b) = 3*t(b) + 2*x(b). What is the units digit of i(3)?
2
Suppose -3*t = 5*y - 1079, 0*y = 3*t + 2*y - 1085. What is the units digit of t?
3
Suppose -7 - 3 = 3*y - 4*k, -y - k + 6 = 0. Let x = y - 4. What is the units digit of 0 + x*9/(-6)?
3
Suppose -17 = -3*u + 4*q - 6, -u - 13 = 2*q. Let o = u + 5. What is the units digit of o?
2
Let x = 0 - -40. Suppose 4*l - 2*l + 3*o - 27 = 0, 5*l - x = -2*o. What is the units digit of l?
6
Let z = 214 - 11. What is the units digit of z?
3
Let k(d) = d**2 + 31. What is the units digit of k(0)?
1
Let t = 2 - 8. Let s be ((-18)/(-8))/(t/(-32)). What is the units digit of (-3)/s - (-42)/8?
5
Suppose -8 = -3*z + 4, f = 4*z - 5. Let x = f + -4. What is the units digit of x?
7
Let f be -2 + 0 + 1 + -1. What is the tens digit of (-21)/f + 5/10?
1
Suppose -h + 38 = -91. What is the tens digit of h?
2
Let d(g) = -29*g - 5. What is the tens digit of d(-3)?
8
What is the tens digit of 26*(2 + -3 - -2)?
2
What is the units digit of (-1)/(-4) + (-7)/(-4)?
2
Suppose -5*a + 16 + 129 = 0. What is the units digit of a?
9
Suppose -4*u + 133 = 45. What is the tens digit of u?
2
Let c = 9 - 4. Suppose 0 = -j - 4*j + 2*d + 9, j = c*d - 12. Suppose q + 34 = j*n, -11 = 3*n - 5*q - 61. What is the tens digit of n?
1
Let b(r) = 10*r**2 + 8*r - 11. What is the tens digit of b(2)?
4
Let x = 14 + -3. Let l(f) = 3*f + 13. What is the units digit of l(x)?
6
Let f be 34/(-6) - (-10)/15. Let t(z) = -7*z**3 - 10*z**2 + 8*z + 7. Let x(o) = o**3 + o**2 - o - 1. Let a(j) = t(j) + 6*x(j). What is the tens digit of a(f)?
1
Let o be 460/8 - (-3)/(-2). Suppose -6*c + o = -2*c. What is the units digit of c?
4
What is the hundreds digit of 211 - (-7 + (5 - 1))?
2
Let q(v) = v**3 - 9*v**2 - 5*v + 3. Let p be q(11). Suppose -c + 5*a = -38, -5*c + p = -0*c + 4*a. What is the units digit of c?
8
What is the units digit of 3*(780/9 + 5)?
5
Let r(n) = -n - 4. Let c be r(3). Let p(a) = 4*a + 8. Let x(d) = -d - 1. Let w(m) = -p(m) - 3*x(m). What is the units digit of w(c)?
2
Let v = 176 - 102. What is the tens digit of v?
7
Let w = 40 + -8. Let y = 54 - w. Let c = 36 - y. What is the units digit of c?
4
Let b(l) = -l**3 - 9*l**2 - 8*l + 4. Let w be b(-8). Suppose -5*z + 59 = m + 11, -w = -z. What is the units digit of m?
8
Let g(y) = 4*y**2 + y + 1. Suppose 0 = -2*p + p - 5*r - 3, 5*p + r = 9. Let i be g(p). Let v = i - 11. What is the units digit of v?
8
Let n = -10 + 10. Suppose 4*p - 5*y - 64 = -n*p, 4*p - y = 80. What is the tens digit of p?
2
Let p = -102 - -156. What is the units digit of p?
4
Let p be (-3)/3 + (0 - -2). Let x be (3/6)/(p/116). Suppose 4*z + 4*i - x = -z, -5*i = -z. What is the tens digit of z?
1
Let s(x) = 4*x + 9. Let g(y) = -y**3 + 5*y**2 - 3*y - 1. Let c be g(3). Let w be s(c). Suppose w = 4*v - 7. What is the units digit of v?
2
Suppose 2*t - 5*p + 104 = 4*t, t = 5*p + 52. What is the tens digit of t?
5
Let t be (-55)/3 - (-6)/(-9). Let s = 28 - 1. Let f = s + t. What is the units digit of f?
8
Let d(h) = h**2 + 6*h + 3. Let z be d(-5). What is the tens digit of 2 + (-37 - -1)/z?
2
Let k = 0 + 4. Suppose 0 = -5*d - f + 74, -k*f = -2*f + 2. Suppose 2*n + n - d = 0. What is the units digit of n?
5
Let b(s) = -2*s**2 + 10*s - 8. Let a(c) = -3*c**2 + 15*c - 12. Let j(i) = -5*a(i) + 8*b(i). Let o be (1 - 0)*3 + 0. What is the units digit of j(o)?
2
Let m = -9 - -13. Suppose -14 = -6*q + m*q. What is the units digit of q?
7
Let c = 90 - 52. What is the tens digit of c?
3
Let w(u) = 15*u**2 + 2*u - 3. Let n(b) = 1 - 2*b**2 - b + b**2 - 7*b**2 + b**2. Let d(q) = -7*n(q) - 3*w(q). What is the units digit of d(-2)?
6
Suppose 3*p = 6 + 6. Suppose -b + 0 = s - 9, p*s + 3*b = 34. What is the units digit of s?
7
Suppose d - 9 = -4*u - 1, 3*u - 4*d = -13. What is the units digit of u?
1
Let u(o) = o**2 + 10*o - 4. Let w be u(-12). Suppose -x - w = -2*x. What is the tens digit of x?
2
Let s(m) be the third derivative of -m**6/120 + 3*m**5/20 - m**4/3 + m**
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let o be (2 - 38)*-1*(-18)/(-27). Calculate the greatest common divisor of o and t.
6
Suppose 116 = -5*z - 219. Let w = -57 - z. Calculate the greatest common divisor of 80 and w.
10
Suppose 3*g - q = -0*g + 13, 2*g = -2*q - 2. Let t be (-13)/(-3) - (-18)/27. Let j be t/15 - (-134)/g. Calculate the highest common divisor of 9 and j.
9
Suppose -3*k - 84 = -10*k. Let i be k - (-1 + (-1 - -4) + 2). What is the greatest common factor of i and 152?
8
Suppose 6*v - 115 = 71. Let k be -2*(2 + 0) + v. What is the greatest common divisor of 3 and k?
3
Let u be 5/(2*(3 - 5/2)). Suppose 0 = -o - 3, 3*y - u*o - 15 = -8*o. What is the highest common factor of y and 24?
8
Let c = 701 + -246. What is the highest common factor of 65 and c?
65
Suppose -3*l + 195 = -3*n, 0*l = 5*l + 5*n - 325. Let c be (1 - 2)*-585 - 0. Suppose -c = -5*d + l. What is the highest common factor of 52 and d?
26
Suppose -1531 = -5*p - 3*n, 7*p + 1210 = 11*p - 5*n. Calculate the highest common factor of 5 and p.
5
Let a(z) = 188*z - 314. Let p be a(3). Calculate the highest common factor of 30 and p.
10
Suppose 30 = 3*v + 4*r, -v + 0*r - 2*r = -12. Let x be (-1365)/(-14) - v/(-4). Calculate the greatest common factor of x and 33.
33
Let n(l) = -2*l + 16. Let q be n(8). Suppose 7*m - 407 + 141 = q. Calculate the highest common factor of 57 and m.
19
Let c = -18 + 26. Let t be c - (3 + -1) - 3. Suppose 2*i + 32 = 3*g, -t*g + i + 36 = g. Calculate the greatest common factor of g and 1.
1
Let r(n) = n + 46. Let g be r(9). Calculate the highest common factor of 605 and g.
55
Let r = -260 - -327. Calculate the greatest common factor of 67 and r.
67
Suppose 4*k - 38 = 86. What is the highest common divisor of 31 and k?
31
Let d(l) = -2*l - 9. Let o be d(-6). Suppose 0*m + o*m - 39 = 0. Let q = m - 11. Calculate the greatest common divisor of 22 and q.
2
Let x be ((-2)/(-3))/(3/1701). Calculate the highest common factor of x and 14.
14
Suppose 0 = 51*o - 93*o + 7854. What is the greatest common factor of 51 and o?
17
Suppose -k + 56 = 2*r - 174, 0 = -5*r + 5*k + 605. Calculate the highest common divisor of 18 and r.
9
Suppose -10 = 3*o - 8*o. Suppose j = -0*j + o. What is the greatest common divisor of j and 8?
2
Let m be (-6 - -4) + (4 - -307). Let p = -3 + m. What is the highest common factor of p and 18?
18
Let o = -10 - -10. Let z be 2*(o + 1)*8. What is the greatest common factor of 24 and z?
8
Suppose 2*z - 68 = 5*k - 484, 4 = 2*z. What is the greatest common divisor of k and 12?
12
Let c = -59 + 91. Let n = 52 - c. Calculate the greatest common factor of n and 180.
20
Let p(m) be the first derivative of -7*m**2/2 - 16*m - 29. Let x be p(-3). What is the greatest common divisor of x and 65?
5
Suppose 4*i + 7 - 15 = 0. Suppose -2*c + 14 = -4. Suppose -4*d + c = -d. Calculate the highest common divisor of i and d.
1
Let y(g) = -14*g - 9. Let c be y(11). Let s = 228 + c. What is the greatest common divisor of 13 and s?
13
Let w be 192/(-40)*(-59 - 1). Let y(d) = 4*d + 32. Let f be y(0). What is the highest common divisor of w and f?
32
Let g(i) be the second derivative of i**4/4 + i**3 + 15*i**2 - 37*i. Let r be g(-5). Calculate the highest common factor of 15 and r.
15
Let n = -95 - -47. Let t be (-7 + -1)*(-228)/n. Let r = 55 + t. What is the greatest common divisor of 51 and r?
17
Let m(j) = 89*j - 34. Let n be m(2). What is the greatest common divisor of n and 54?
18
Let f be (4/(-6))/((-3)/3546). Let v = f - 545. Calculate the greatest common divisor of 27 and v.
27
Let w be 155 - 4*(-1)/(-2). Let c(v) = -10*v**2 + 63*v + 58. Let f be c(7). What is the highest common factor of f and w?
9
Let v = 59 + -28. What is the highest common divisor of 961 and v?
31
Suppose 0 = 9*l - 11*l - 8. Let t be (9/((-18)/40))/(l/2). What is the highest common factor of 160 and t?
10
Suppose 2*b - 5 = -1. Let m(f) = -f**3 + 25*f**2 + 5*f + 9. Let t be m(25). Suppose -5*k + t - 24 = 0. Calculate the greatest common divisor of b and k.
2
Let o(g) = g**3 - 4*g**2 - 12*g + 5. Let b be o(6). Let q(h) = -h - 2. Let t be q(b). Let r be 90 - -1 - (-7)/t. What is the greatest common factor of r and 36?
18
Let y = -128 - -185. What is the highest common divisor of 57 and y?
57
Let g(k) = -49*k + 1. Let w be g(-1). Let v be 10/20 + (-249)/(-6)*3. What is the highest common divisor of v and w?
25
Let f be 4/(-8) + (-11)/(-2). Let r be 6/2*-2*25/(-3). What is the greatest common divisor of r and f?
5
Let k(j) = -j**3 - j**2 - j + 32. Let m be k(0). What is the greatest common divisor of m and 608?
32
Let d be (7 + -11 - -5)*44. What is the greatest common factor of d and 605?
11
Let n = 642 - -94. Calculate the highest common factor of 128 and n.
32
Suppose 13*m - 220 = 11*m. Let r = 108 + -88. What is the greatest common divisor of r and m?
10
Suppose 66 = -57*w + 54*w. Let n = w - -127. What is the greatest common divisor of n and 15?
15
Let f be (-9 + 19/2)*3*32. Let t = -32 + 22. Let u be (-62)/(-5) - (-4)/t. Calculate the highest common divisor of f and u.
12
Let p = 3 + 2. Let x = 13 - p. Suppose -i + x = i. What is the greatest common factor of 28 and i?
4
Let c(s) = 7*s**2 + 25*s - 14. Let r(g) = -4*g**2 - 13*g + 7. Let h(z) = 3*c(z) + 5*r(z). Let p be h(-11). What is the highest common factor of p and 36?
4
Let x be -1 + 2 + (4 - (3 - 3)). What is the highest common factor of 25 and x?
5
Let k = 35 + -26. Suppose 8 + 0 = 4*s. Suppose 5*u - s*m + 4*m = -3, 4*u = m + 8. What is the greatest common factor of k and u?
1
Let p = -143 - -155. Suppose 10 = -5*m, -23 = -o + m + 21. What is the greatest common divisor of o and p?
6
Suppose -5 + 11 = 2*b. Let z(j) = j**2 + 5*j + 1. Let u be z(-6). Suppose -a + u = -8. What is the greatest common factor of a and b?
3
Let i(b) = -b**2 - 9*b - 4. Let z be i(-6). Suppose z = 3*w - w. Suppose 175 = 4*r + r. What is the greatest common divisor of w and r?
7
Let w = 193 - 112. Let q(o) = 2*o**2 - o - 1. Let a be q(-1). Suppose 0 = -4*n + 16, 0 = 3*g - 0*n - a*n - 154. What is the greatest common divisor of w and g?
27
Let u = 44 - 42. What is the greatest common factor of u and 3?
1
Let j(v) = 6*v - 1. Suppose 28*o = 24*o + 44. Let u be j(o). What is the greatest common factor of 26 and u?
13
Let x be (-9583)/(-7) + (3 - -1)*-1. What is the greatest common factor of 182 and x?
91
Let a be 10 + -7 - (3 + -1)*-344. Let o = -427 + a. Calculate the greatest common factor of o and 24.
24
Let c be (-3 + (2 - (-2)/2))/(-3). Suppose 14*g - 16*g + 18 = c. What is the greatest common factor of 3 and g?
3
Let f(w) = w**3 + 7*w**2 - 2*w + 14. Let z be f(-7). What is the highest common divisor of 112 and z?
28
Let t(x) = -x**3 - 19*x**2 - 4*x - 57. Let b be t(-19). What is the highest common factor of 247 and b?
19
Let p be (443 - 0 - -2) + 5/(-5). Calculate the greatest common factor of p and 12.
12
Suppose 20 = -5*i - x + 97, 3*i + 2*x - 42 = 0. What is the greatest common divisor of i and 128?
16
Let k = 12 - 10. Suppose 0*n = -4*n. Suppose n = u + o + k*o - 129, -5*u + 705 = 3*o. Calculate the greatest common divisor of 16 and u.
16
Let z(i) = -21*i + 3. Suppose -9 = 7*v + 5. Let o be z(v). What is the greatest common factor of o and 30?
15
Suppose -4*g = -3*g + 10. Let d be ((-14)/g)/((-19)/(-95)). Calculate the highest common divisor of 28 and d.
7
Let g be -3 + -4*(-3)/(-6) + 215. Calculate the greatest common factor of g and 30.
30
Suppose 2*x - 5*x = -15. Let d be 1 - (-9)/((-27)/498). Let z = -110 - d. Calculate the greatest common factor of x and z.
5
Suppose 3*y + 121 = 4*h, -5*y + 8*y = 3. What is the greatest common factor of h and 93?
31
Let g be (-10)/(-15) + 2/6. Let c(n) be the second derivative of 50*n**3/3 - n**2/2 + n + 5. Let f be c(g). What is the highest common factor of f and 9?
9
Suppose 8*j - 86 = 42. Suppose -j = 4*c, 2*h - 90 = 3*c - 0*c. Calculate the greatest common factor of 429 and h.
39
Let u(v) = -v**3 + 11*v**2 - 15*v + 108. Let o be u(8). What is the greatest common divisor of 100 and o?
20
Suppose 2084 = 3*n + o, -3 + 15 = -3*o. Let a = n - 486. What is the greatest common factor of 30 and a?
30
Let m = -30 - -42. Suppose 75 + 25 = 5*y. Suppose -y = -2*j + 16. Calculate the highest common factor of m and j.
6
Let m be (1/(-2))/((-3)/60). Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
-20058?
m - 20064
What is the r'th term of 10718, 21101, 31136, 40817, 50138?
-r**3 - 168*r**2 + 10894*r - 7
What is the c'th term of -1308, -2637, -3980, -5343, -6732, -8153, -9612, -11115?
-c**3 - c**2 - 1319*c + 13
What is the q'th term of 195, 755, 1671, 2943, 4571?
178*q**2 + 26*q - 9
What is the v'th term of 3755982, 3755981, 3755982, 3755985, 3755990?
v**2 - 4*v + 3755985
What is the f'th term of -19920, -39777, -59574, -79311?
30*f**2 - 19947*f - 3
What is the m'th term of 32789, 32787, 32785, 32783?
-2*m + 32791
What is the y'th term of -859, -266, 313, 872, 1405, 1906?
-y**3 - y**2 + 603*y - 1460
What is the i'th term of -2823, -5678, -8523, -11352, -14159, -16938?
i**3 - i**2 - 2859*i + 36
What is the y'th term of -2695, -5350, -7981, -10588, -13171, -15730, -18265?
12*y**2 - 2691*y - 16
What is the r'th term of 215, 396, 535, 632, 687, 700?
-21*r**2 + 244*r - 8
What is the y'th term of -23173, -23175, -23179, -23185, -23193?
-y**2 + y - 23173
What is the l'th term of 14834, 14838, 14846, 14858?
2*l**2 - 2*l + 14834
What is the x'th term of -9633, -9549, -9465?
84*x - 9717
What is the m'th term of -1555, -2286, -3023, -3772, -4539, -5330, -6151?
-m**3 + 3*m**2 - 733*m - 824
What is the p'th term of 340786, 681568, 1022350, 1363132, 1703914?
340782*p + 4
What is the z'th term of 19543, 19542, 19541, 19540, 19539?
-z + 19544
What is the v'th term of 375375, 750751, 1126127, 1501503?
375376*v - 1
What is the g'th term of 119, 637, 1493, 2681, 4195?
-g**3 + 175*g**2 - 55
What is the m'th term of -49248, -98482, -147706, -196914, -246100, -295258, -344382?
m**3 - m**2 - 49238*m - 10
What is the x'th term of 183, 878, 2039, 3666, 5759, 8318, 11343?
233*x**2 - 4*x - 46
What is the o'th term of -28662, -57325, -85988, -114651?
-28663*o + 1
What is the k'th term of 53793, 53782, 53771, 53760?
-11*k + 53804
What is the v'th term of 3358, 6662, 9966, 13270?
3304*v + 54
What is the c'th term of 175978, 351953, 527928, 703903, 879878, 1055853?
175975*c + 3
What is the b'th term of -2609, -2580, -2547, -2510?
2*b**2 + 23*b - 2634
What is the v'th term of 1058, 2025, 2992, 3959, 4926?
967*v + 91
What is the y'th term of -1448, -2866, -4262, -5630, -6964?
y**3 + 5*y**2 - 1440*y - 14
What is the i'th term of -2438, -4902, -7366, -9830?
-2464*i + 26
What is the u'th term of -12732, -12702, -12672?
30*u - 12762
What is the k'th term of -26, -213, -626, -1379, -2586?
-19*k**3 + k**2 - 57*k + 49
What is the q'th term of 557, 503, 449?
-54*q + 611
What is the u'th term of 2513412, 2513410, 2513408, 2513406, 2513404, 2513402?
-2*u + 2513414
What is the s'th term of -25822, -25861, -25962, -26155, -26470, -26937?
-5*s**3 - s**2 - s - 25815
What is the g'th term of 6755, 6747, 6739?
-8*g + 6763
What is the l'th term of -308752, -617502, -926252, -1235002?
-308750*l - 2
What is the m'th term of 241759, 241766, 241773, 241780, 241787?
7*m + 241752
What is the n'th term of 3069, 12269, 27603, 49071, 76673, 110409?
3067*n**2 - n + 3
What is the u'th term of 763, 1471, 2179, 2887, 3595?
708*u + 55
What is the d'th term of 5546, 11086, 16626, 22166?
5540*d + 6
What is the m'th term of -26090, -52406, -78720, -105032, -131342?
m**2 - 26319*m + 228
What is the z'th term of 892402, 1784805, 2677204, 3569599?
-2*z**2 + 892409*z - 5
What is the t'th term of 1477, 3052, 4627?
1575*t - 98
What is the t'th term of -280, -2167, -7294, -17281, -33748?
-270*t**3 + 3*t - 13
What is the o'th term of 2260, 9035, 20326, 36133, 56456, 81295, 110650?
2258*o**2 + o + 1
What is the c'th term of -1019312, -1019314, -1019318, -1019324, -1019332, -1019342, -1019354?
-c**2 + c - 1019312
What is the w'th term of 968, 944, 886, 776, 596, 328, -46, -544?
-3*w**3 + w**2 - 6*w + 976
What is the l'th term of 25, 81, 129, 175, 225?
l**3 - 10*l**2 + 79*l - 45
What is the k'th term of 153751, 153750, 153749, 153748, 153747, 153746?
-k + 153752
What is the t'th term of -681, -671, -661, -651, -641, -631?
10*t - 691
What is the t'th term of 7950928, 7950930, 7950932?
2*t + 7950926
What is the l'th term of 3211, 6241, 9087, 11749, 14227?
-92*l**2 + 3306*l - 3
What is the y'th term of -70479, -70469, -70453, -70431, -70403, -70369?
3*y**2 + y - 70483
What is the g'th term of 2347, 2360, 2369, 2374?
-2*g**2 + 19*g + 2330
What is the u'th term of -1415, -5709, -12875, -22919, -35847, -51665, -70379, -91995?
-u**3 - 1430*u**2 + 3*u + 13
What is the c'th term of 6678, 13412, 20148, 26886, 33626, 40368, 47112?
c**2 + 6731*c - 54
What is the k'th term of -211852, -423724, -635596, -847468, -1059340, -1271212?
-211872*k + 20
What is the z'th term of -7452, -29819, -67096, -119283, -186380, -268387, -365304?
-7455*z**2 - 2*z + 5
What is the b'th term of -5794, -5791, -5770, -5725, -5650?
b**3 + 3*b**2 - 13*b - 5785
What is the y'th term of 250, 283, 316?
33*y + 217
What is the r'th term of 4663, 4648, 4633?
-15*r + 4678
What is the q'th term of -10, -4, 4, 20, 50, 100, 176, 284?
q**3 - 5*q**2 + 14*q - 20
What is the j'th term of 986, 2052, 3124, 4202, 5286, 6376?
3*j**2 + 1057*j - 74
What is the x'th term of -191, -328, -407, -428, -391?
29*x**2 - 224*x + 4
What is the w'th term of 96, 242, 390, 540?
w**2 + 143*w - 48
What is the f'th term of -8714, -17519, -26414, -35399, -44474, -53639?
-45*f**2 - 8670*f + 1
What is the f'th term of -31, -243, -935, -2395, -4911?
-48*f**3 + 48*f**2 - 20*f - 11
What is the f'th term of -15558, -31118, -46678, -62238, -77798?
-15560*f + 2
What is the d'th term of 5642, 5660, 5678?
18*d + 5624
What is the r'th term of 92719, 185473, 278227, 370981, 463735?
92754*r - 35
What is the b'th term of 352, 684, 1040, 1432, 1872, 2372, 2944, 3600?
2*b**3 + 318*b + 32
What is the f'th term of 3024, 3017, 3010?
-7*f + 3031
What is the v'th term of 440, 1485, 2534, 3587, 4644, 5705?
2*v**2 + 1039*v - 601
What is the z'th term of -177003, -354001, -530997, -707991?
z**2 - 177001*z - 3
What is the g'th term of 188, 172, 184, 230, 316?
g**3 + 8*g**2 - 47*g + 226
What is the f'th term of -9820, -19644, -29486, -39358, -49272?
-2*f**3 + 3*f**2 - 9819*f - 2
What is the s'th term of 596, 1070, 1530, 1970, 2384, 2766, 3110?
-s**3 - s**2 + 484*s + 114
What is the r'th term of -13415, -26829, -40243, -53657, -67071?
-13414*r - 1
What is the c'th term of 653, 657, 661, 665?
4*c + 649
What is the m'th term of 232, -48, -514, -1166, -2004, -3028, -4238?
-93*m**2 - m + 326
What is the a'th term of -182, -1509, -5138, -12227, -23934, -41417?
-193*a**3 + 7*a**2 + 3*a + 1
What is the r'th term of 20840, 20860, 20878, 20894, 20908, 20920, 20930?
-r**2 + 23*r + 20818
What is the l'th term of 596688, 596689, 596690?
l + 596687
What is the h'th term of -29225, -58456, -87689, -116924, -146161, -175400?
-h**2 - 29228*h + 4
What is the x'th term of 1206, 2924, 4642, 6360, 8078?
1718*x - 512
What is the u'th term of 102002, 102005, 102008, 102011, 102014, 102017?
3*u + 101999
What is the a'th term of 924406, 924407, 924408, 924409, 924410, 924411?
a + 924405
What is the w'th term of 11969, 11534, 11099, 10664?
-435*w + 12404
What is the j'th term of 2774749, 2774750, 2774751, 2774752?
j + 2774748
What is the b'th term of -486, -80, 1036, 3216, 6814, 12184, 19680, 29656?
59*b**3 + b**2 - 10*b - 536
What is the a'th term of 236, 596, 958, 1322, 1688?
a**2 + 357*a - 122
What is the c'th term of -2321, -4660, -7001, -9344?
-c**2 - 2336*c + 16
What is the j'th term of -1572, -1535, -1480, -1407, -1316, -1207?
9*j**2 + 10*j - 1591
What is the l'th term of 204, 809, 1818, 3231?
202*l**2 - l + 3
What is the t'th term of 726, 728, 726, 714, 686, 636, 558?
-t**3 + 4*t**2 - 3*t + 726
What is the m'th term of -2101, -2092, -2083, -2074, -2065, -2056?
9*m - 2110
What is the q'th term of 5, 129, 615, 1691, 3585?
38*q**3 - 47*q**2 - q + 15
What is the o'th term of -20127, -20095, -20063, -20031, -19999, -19967?
32*o - 20159
What is the a'th term of -811877, -811875, -811873, -811871, -811869?
2*a - 811879
What is the w'th term of 59, 120, 219, 380, 627?
4*w**3 - 5*w**2 + 48*w + 12
What is the i'th term of -110347, -220693, -331039, -441385, -551731?
-110346*i - 1
What is the m'th term of -193, -199, -209, -223?
-2*m**2 - 191
What is the z'th term of 1287, 10868, 36867, 87492, 170951?
1368*z**3 + z**2 + 2*z - 84
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
(20 - 1)).
14
Suppose i + 0*i = 15. Calculate the remainder when 29 is divided by i.
14
Suppose -3*t + 95 = -55. Suppose -6*p + p = -30. Calculate the remainder when (4/10)/(2/t) is divided by p.
4
Let g = -171 - -479. Suppose -5*y + g = -p, 2*y - 68 = y - 3*p. What is the remainder when y is divided by (2/(-5))/((-2)/80)?
14
Let o(j) = 2*j - 13. Let z be o(12). Suppose 2*y - 15 - z = 0. Suppose -35 = -5*s - 0*s. Calculate the remainder when y is divided by s.
6
Let d be (-312)/(-32) + 3/(-4). Let q = -4 + d. What is the remainder when 9 is divided by q?
4
Let n(j) = -j**3 - 11*j**2 + 10*j - 17. Suppose -1 = -v - 13. Calculate the remainder when 18 is divided by n(v).
4
Suppose -y - 3*y - 4*z = -344, -4*z + 178 = 2*y. Calculate the remainder when y is divided by 21.
20
Let y = 8 + 10. Let t = -38 - -72. Calculate the remainder when t is divided by y.
16
Let j = -8 + 19. What is the remainder when 18 is divided by j?
7
Suppose -3*n - 365 = -8*n. Calculate the remainder when n is divided by 19.
16
Let l(m) = -m**3 + 10*m**2 - 9*m + 8. What is the remainder when l(9) is divided by 3 + -1 - 2/(-2)?
2
Suppose -99 = 3*m - 390. Calculate the remainder when m is divided by 27.
16
Suppose -3*c = 4*g - 42, -5*c + c - g = -43. Suppose 20 + 16 = 2*b. Calculate the remainder when b is divided by c.
8
Let y = -92 + 131. Let g(a) = -a**2 - 15*a - 12. Let m be 26/(-4)*(10 - 8). What is the remainder when y is divided by g(m)?
11
Let r = 22 + 6. What is the remainder when r is divided by 5?
3
Let t = 9 - 1. Let o = t - 3. Let j = 4 - 1. Calculate the remainder when o is divided by j.
2
Let g = -14 - -34. Suppose 0 = -3*w + 8*w + 2*v - 113, -w + g = 3*v. Calculate the remainder when w is divided by 13.
10
Suppose -5*s = 3*z + 78 + 3, -2*z - 5*s - 54 = 0. Let j be 1/(z/(-15) - 2). Let h = 15 + j. What is the remainder when 19 is divided by h?
9
Let z(p) = p**3 - 3*p**2 - 2*p + 3. Calculate the remainder when 30 is divided by z(4).
8
Let a = -19 - -31. Let s(z) = -z**3 - 5*z**2 + 6*z - 8. Let f be s(-6). Let n = f + 42. Calculate the remainder when n is divided by a.
10
Let o = -111 + 136. Calculate the remainder when 94 is divided by o.
19
What is the remainder when 42 is divided by 152/16 - 3/(-2)?
9
Let v(y) = y - 10. Let g be v(11). Let m = 3 + g. What is the remainder when 14 is divided by m?
2
What is the remainder when -40*(-3 + 2)*1 is divided by (-12)/8 + 90/4?
19
Suppose 0 = -3*q - q + 12. Calculate the remainder when 6 is divided by (24/10 - q)*-5.
0
Let z(x) = -8*x**3 + 2*x + 1. What is the remainder when 18 is divided by z(-1)?
4
Calculate the remainder when (-114)/5*25/(-10) is divided by 12.
9
Let l = 15 - 0. Let s = 1 - -7. Calculate the remainder when l is divided by s.
7
Suppose -5*k + 15 - 5 = 0. Let n be 82/(k/((-6)/3)). Calculate the remainder when (-6)/(-9) - n/3 is divided by 15.
13
Let t = 5 + -3. Suppose 0 = -2*m + t + 4. Let u = -6 - -7. Calculate the remainder when m is divided by u.
0
Let u(p) = -p**2 + 9*p + 3. Suppose -4*c - 4 + 20 = 0. Let j(r) = r**2 - 2*r - 4. Calculate the remainder when u(8) is divided by j(c).
3
Suppose 6 = 2*r - 4*v - 62, r - v - 33 = 0. Let g = -71 - -105. Suppose 0 = 6*d - 4*d - g. What is the remainder when r is divided by d?
15
Suppose -5*p + m + 20 = -22, -m = -4*p + 33. Suppose 4*w + 35 = p*w. What is the remainder when w is divided by 4?
3
Suppose -3*r + 667 = 5*g, -2*g + r = 3*g - 651. Suppose 5*f = -5*h + 195, -7*f + g = -3*f - h. Calculate the remainder when f is divided by (24/10)/((-1)/(-5)).
10
Let m(y) = -y**3 + 6*y**2 + y - 1. Let a be m(3). Suppose -4*o + a = 389. Calculate the remainder when ((-12)/9)/(4/o) is divided by 8.
6
What is the remainder when 7/((-14)/4) + (1 - -42) is divided by 11?
8
Let q be ((-20)/(-6))/((-2)/(-3)). Suppose 4*r - 57 = h - 4*h, -q = h. Calculate the remainder when 35 is divided by r.
17
Let y(z) = z + 4. Let b(o) = -3*o - 13. Let q(m) = -4*b(m) - 14*y(m). Calculate the remainder when q(-5) is divided by 5.
1
Calculate the remainder when 0/3 - -5 - -18 is divided by 13.
10
Let n be (-2)/(-12) - (-1977)/18. Suppose -n = -4*i + 2*i. What is the remainder when i is divided by 29?
26
Let o = -7 - -24. Suppose y - 5*y = 112. Let n = -19 - y. Calculate the remainder when o is divided by n.
8
Suppose 107 = u - 11. What is the remainder when u is divided by 30?
28
Suppose -6*j = -4*j - 66. Suppose 2*r - s - j = 0, -5*r - 5*s = -3*r - 3. Calculate the remainder when 41 is divided by r.
13
Let o = -13 - -20. Let z be (-10)/(-55) - (-18)/22. Let k(p) = 10*p + 1. What is the remainder when k(z) is divided by o?
4
Let z(b) = b**3 + 3*b**2. Let q(g) = -g + 12. Let j be q(11). What is the remainder when j*(0 - (2 + -13)) is divided by z(-2)?
3
Let l = -108 + 158. Suppose -2*m + 7*m = l. What is the remainder when m is divided by 6?
4
Let h = 108 + -76. Suppose 2*t = -0*t + h. Calculate the remainder when t is divided by 9.
7
Suppose 14 = 3*b - 1. What is the remainder when 9 is divided by b?
4
Suppose -4 = -k, 3*r + 4*k = 2*k + 23. Suppose 28 = p - r*f - 24, -156 = -5*p - f. What is the remainder when p is divided by (-87)/(-5) + (-6)/15?
15
Let v(k) = 4*k - 8. Let t = 4 + -2. Suppose -m - 2*n - 2 = 0, 5*m - t*n = n + 42. What is the remainder when 62 is divided by v(m)?
14
Calculate the remainder when ((-164)/(-16))/(5/40) is divided by 24.
10
Let q be 4 + 0/((-2)/(-1)). Let t be (306/(-8))/(q/(-16)). Let k = -104 + t. Calculate the remainder when k is divided by 17.
15
Let z = -12 + 8. Let r(q) = -8*q - 3. Let o be r(z). Let b = 7 + o. What is the remainder when b is divided by 13?
10
Suppose -4*m + 195 = -73. Suppose 0 = -2*x - 4*k + 20 - 76, 0 = -3*x + 3*k - 129. Let s = x + m. What is the remainder when s is divided by 10?
9
Suppose 0 = -s - 2*i + 6*i + 32, -4*s + 3*i = -76. Let j = -61 - -120. Calculate the remainder when j is divided by s.
11
Suppose 10*a - 11*a = -65. What is the remainder when a is divided by 17?
14
Let h(t) = -7*t - 3. Let s be h(-3). Suppose -x = 3 - 4, 4*x + s = 2*a. Suppose 2*d - 3*d + a = 0. What is the remainder when d is divided by 6?
5
Calculate the remainder when (-13)/(91/(-10))*(-105)/(-3) is divided by 14.
8
Calculate the remainder when -1 - 76/(-4) - 0 is divided by 5.
3
Suppose -2*s - 13 = -4*g + g, 0 = -2*g + 2*s + 10. Calculate the remainder when g/(1/(7 - -2)) is divided by (-54)/(-4) + (-1)/(-2).
13
Let z = 14 - 10. Suppose 0 = 2*f + z*i - 76, 13 = -3*f + 4*i + 77. Calculate the remainder when f is divided by 15.
13
Let f be ((-4)/5)/(4/(-10)). Let d be 0 + 2 + 1 - 0. Suppose 0*m + 2*m + 72 = d*s, f*m - 6 = 0. Calculate the remainder when s is divided by 9.
8
Suppose 8*i - 139 + 27 = 0. What is the remainder when 27 is divided by i?
13
Suppose -2*q + 10 = -0. Suppose -p + q*k + 15 = -0*k, -k + 3 = p. Calculate the remainder when 4/(0 - (-2)/4) is divided by p.
3
Suppose -j + 6 = 5*y - 25, -5*j - 4*y + 134 = 0. What is the remainder when 103 is divided by j?
25
Suppose 5*d + 394 = -4*y - 9, 2*y - 172 = 2*d. What is the remainder when 49 is divided by 12/30 - d/5?
15
Suppose 2*r - 27 - 9 = 0. Let z = 20 - 10. Calculate the remainder when r is divided by z.
8
Let u = 1 + 3. Let d(b) = 6*b**2 - 2*b - 1. Calculate the remainder when d(u) is divided by 30.
27
Suppose -8 + 2 = -3*v + x, 2*v - 5*x - 17 = 0. Suppose 0*d + 3*t - v = d, 5*d - 34 = 2*t. Calculate the remainder when 14 is divided by d.
6
Suppose -7*m + 12*m - 150 = 0. Calculate the remainder when m is divided by 16.
14
Let a = -27 + 50. Calculate the remainder when 90 is divided by a.
21
Suppose 291 = 5*s - 2*s. What is the remainder when s is divided by 49?
48
What is the remainder when 16 is divided by 2 + (-29)/(-9) - 20/90?
1
Let f = 45 - 17. Suppose 0*g + g = f. Calculate the remainder when g is divided by 10.
8
Suppose g + 184 = 5*g. What is the remainder when g is divided by 16?
14
Suppose -5*g + 8 = -g. Let z = 2 - 5. Calculate the remainder when z + 0 + 0 + 8 is divided by g.
1
Suppose -3*b + 17 = -4. Suppose i - 30 = -5*l + 6*i, 2*l = 3*i + 14. Suppose 33 = l*o - o. Calculate the remainder when o is divided by b.
4
Let z(g) = 7*g**2 - 11*g + 21. What is the remainder when z(4) is divided by 45?
44
Let g = 123 - 118. Calculate the remainder when 19 is divided by g.
4
S
|
{
"pile_set_name": "DM Mathematics"
}
|
18*n*p - 35*p wrt p.
-n**2 + 18*n - 35
What is the third derivative of -290832501*d**3 - 760216212*d**2?
-1744995006
Find the second derivative of 52885521*x**5 - 48664655*x wrt x.
1057710420*x**3
Find the second derivative of -121773*v**2*w**2 - 37*v**2*w + 4*v*w**2 - 5*w**2 + 1113888*w wrt w.
-243546*v**2 + 8*v - 10
Find the third derivative of 1425*b*n**3 + 2228*b*n**2 - 422*n**4 + 1412*n wrt n.
8550*b - 10128*n
What is the second derivative of 747110*v**2 - 4032*v - 805 wrt v?
1494220
What is the derivative of -10719772*h**3*i**2 + 5*h*i**2 + 219562*i**2 - 83 wrt h?
-32159316*h**2*i**2 + 5*i**2
Differentiate -182086742*f**2 + 164555854.
-364173484*f
What is the first derivative of 6333128*x*y - 246026*y + 17 wrt x?
6333128*y
Find the third derivative of -t*y**5 + 55088236*t*y**4 - 31528*t*y**2 + 2*t*y + 5*t - 64*y**2 wrt y.
-60*t*y**2 + 1322117664*t*y
What is the third derivative of 13*q**6 - 154*q**5 + 3098*q**3 + 2*q**2 - 65051*q - 202 wrt q?
1560*q**3 - 9240*q**2 + 18588
Differentiate 9599*j**3*q**4 - 497*j**3*q - 3*j**3 - 2*j**2 - 77*j + 98 wrt q.
38396*j**3*q**3 - 497*j**3
Find the second derivative of -258388546*l**2 - 1176*l + 49978.
-516777092
Find the third derivative of -317471*c**2*p**3 + 11*c**2*p + 2*c**2 - 7*c*p**3 + 4*c*p**2 + 64*c*p + 3*p**2 wrt p.
-1904826*c**2 - 42*c
Find the second derivative of -476*d**2*v**2 + 47*d**2 - 175*d*v**2 - 3185*d*v - 2*v**2 + 4 wrt v.
-952*d**2 - 350*d - 4
What is the first derivative of 131*c**4 - 24191*c + 7594825?
524*c**3 - 24191
Find the third derivative of -102262411*p**4 - 2716*p**2 - 78*p + 4 wrt p.
-2454297864*p
Differentiate -156414*l**3*r**2 + 178*l**3 + 1406*r**2 - 1890*r wrt l.
-469242*l**2*r**2 + 534*l**2
What is the second derivative of 763746367*y**4 + 16220*y + 5239 wrt y?
9164956404*y**2
Find the second derivative of 238156531*h**2*n - 1537*h*n - h + 12*n - 246 wrt h.
476313062*n
What is the first derivative of 167*z**4 - 117*z**3 + 7224*z - 952065621?
668*z**3 - 351*z**2 + 7224
What is the third derivative of 126*g**3*v**3 - 391*g**3*v - 19*g**3 - 28733*g**2*v + 2*g**2 + 5*g*v - g - 2*v**3 - 1 wrt g?
756*v**3 - 2346*v - 114
Find the second derivative of 7*d**5 - 2*d**4 + 1647864*d**2 + 32473563*d.
140*d**3 - 24*d**2 + 3295728
Find the first derivative of 36*r**3 - 2*r**2 - 2722386*r + 15743739 wrt r.
108*r**2 - 4*r - 2722386
What is the third derivative of -h**3*l**3 + 3*h**3*l**2 - 13271*h**3 + 7*h**2*l**3 + 2*h**2*l**2 - 39149*h*l**3 + h*l wrt h?
-6*l**3 + 18*l**2 - 79626
Find the third derivative of -8*a*i**3 - 4328*a*i**2 - 3*a + 17*i**4 + 765194*i**3 - 2428*i**2 wrt i.
-48*a + 408*i + 4591164
Differentiate -10895992*o**2*r + 76*o**2 + 3293*o with respect to r.
-10895992*o**2
What is the second derivative of 5997982*i**2 - 2960*i + 182 wrt i?
11995964
What is the first derivative of 65*c*d**2*y + 196812555*c*d**2 + 167559*c*d*y - 4*c*y wrt y?
65*c*d**2 + 167559*c*d - 4*c
What is the second derivative of h**4 - 770*h**3 + 19974*h**2 - 217414259*h?
12*h**2 - 4620*h + 39948
Differentiate 9815033*f + 19934915 with respect to f.
9815033
What is the first derivative of -36144558*f*j - 204189*f - 13 wrt j?
-36144558*f
What is the second derivative of 5244947*a**3*t**2 + 6*a**3*t*w - 2*a**3*w + 2*a*t**2*w + 2*a*t*w - 2*a*t + 3*a*w - 49 wrt t?
10489894*a**3 + 4*a*w
What is the second derivative of 62966149*p**5 + 70487586*p wrt p?
1259322980*p**3
What is the second derivative of -14*a**2*g**2 + 46*a**2*g + 58780*a**2 + 552*a*g**2 + a*g - 266*g**2 - 1 wrt a?
-28*g**2 + 92*g + 117560
Find the first derivative of 3819096*h - 42227307.
3819096
What is the first derivative of -3*c**4 + c**3 + 4778421*c - 414013886?
-12*c**3 + 3*c**2 + 4778421
Differentiate 32813*a**4*c**2 + 439*a*c**2 + 7095*c**2 - 3327 wrt a.
131252*a**3*c**2 + 439*c**2
What is the second derivative of v**4 + 7710879*v**2 + 71*v - 15290 wrt v?
12*v**2 + 15421758
Find the second derivative of -23544385*g**2*m**2 + 2792*g**2*m - 6*g**2 - 2*g*m - 161 wrt m.
-47088770*g**2
What is the second derivative of -3558719*v**2 - 2465*v - 585?
-7117438
What is the second derivative of 97195244*u**3 + 30740932*u wrt u?
583171464*u
What is the derivative of 44*d**2 - 18704*d - 232565 wrt d?
88*d - 18704
What is the second derivative of 2*a**3*g**2 + a**3 + 9632*a**2*g - 3*a**2 + 13333*a*g**4 - 4*a wrt g?
4*a**3 + 159996*a*g**2
What is the third derivative of -734568988*n**4 - 48*n**2 - 3549422*n?
-17629655712*n
Find the second derivative of 6322146*m**2*s**2 - 23*m**2*s + 2*m**2 - 126*m*s - 88*m + 2*s**2 wrt s.
12644292*m**2 + 4
Find the third derivative of 6278*f**3*w**2 - 1656*f**3 + 35236*f**2*w**2 + 9*w**2 wrt f.
37668*w**2 - 9936
What is the derivative of 21126682*h + 9805778?
21126682
Find the third derivative of -189*l**3*s**2 + 143*l**3*s - 15*l**3 - 1283229*l**2*s**2 + 2*l*s**2 + 2*s wrt l.
-1134*s**2 + 858*s - 90
Differentiate 1501108*c**4 - 69*c - 224819591.
6004432*c**3 - 69
Find the first derivative of -2971*j*l*t + 532*j*l - 6387990*j*t wrt l.
-2971*j*t + 532*j
What is the second derivative of -1523077171*x**3 - 11691*x + 17825?
-9138463026*x
What is the third derivative of 439084693*a**5 - 2317*a**2 + a - 27539?
26345081580*a**2
What is the second derivative of -266941*f**2*s**2 - 2*f**2*s + 20*s**3 - 90359*s + 13 wrt s?
-533882*f**2 + 120*s
Find the first derivative of 10400753*b**2 - 3654321 wrt b.
20801506*b
Find the third derivative of 27834*d**4 - 2*d**3*g - 291*d**3 - d**2 - 12*d*g + d - 3*g + 20918 wrt d.
668016*d - 12*g - 1746
What is the derivative of -52584162*q + 20130644?
-52584162
What is the third derivative of -9*s**6 + 456*s**4 + 1830*s**3 + 560507*s**2 - 22*s - 1 wrt s?
-1080*s**3 + 10944*s + 10980
Differentiate -14*c**4 + 351999*c**3 - 40761513.
-56*c**3 + 1055997*c**2
What is the third derivative of 47707*m**4*z**2 + 1211*m**3 - 15934*m**2 + 1234*z**2 wrt m?
1144968*m*z**2 + 7266
What is the second derivative of 4*i**3 + 13656*i**2 + 3701990*i?
24*i + 27312
Find the first derivative of 9*k**4 - 3101175*k + 26476745.
36*k**3 - 3101175
Differentiate 54954*a*n**2 + 2*a*n - 269507687*a - 11*n**2 + 5*n with respect to n.
109908*a*n + 2*a - 22*n + 5
Find the third derivative of -13350087*m**3 + 100153214*m**2.
-80100522
What is the second derivative of -6*a**4 + 1889697*a**3 - 74171883*a wrt a?
-72*a**2 + 11338182*a
Differentiate 9*n**2*o - 5055652*n + 2*o + 22711204 wrt n.
18*n*o - 5055652
What is the first derivative of -9426409*m - 8571706?
-9426409
What is the second derivative of 19216*k*o**3*q**2 - 13339*k*o**3*q - k*o - 16833*k*q**2 + 66*o*q + o - q**2 wrt o?
115296*k*o*q**2 - 80034*k*o*q
What is the third derivative of -146*k**5*o*t**3 + 70918*k**3*o + 68*k**2*o*t**2 + 4*k*o*t**3 + 2389*k*o*t - 5*t**3 wrt k?
-8760*k**2*o*t**3 + 425508*o
What is the third derivative of 1436245*p*x**3 + 39*p*x**2 - 14*x**3 + 2*x**2 + 183*x + 30 wrt x?
8617470*p - 84
What is the second derivative of 3*h**4 - h**3 - 3322*h**2 + 5*h + 323687?
36*h**2 - 6*h - 6644
What is the third derivative of -95618110*i**5 - 80516138*i**2?
-5737086600*i**2
What is the third derivative of 155125*g*v**3*x + 2*g*v**2*x + 2*g*v**2 - 2*g*x + 5*v**3*x + 2*v - 1119*x - 10 wrt v?
930750*g*x + 30*x
What is the third derivative of -1702*f**5 - 10313*f**3 + 110717382*f**2?
-102120*f**2 - 61878
What is the second derivative of -9069066*a*g**2*y - 2*a*g**2 + 302*a*g*y - 3*a - 729*g*y wrt g?
-18138132*a*y - 4*a
Find the third derivative of -79338423*t**6 - 3*t**2 + 1824*t + 1342.
-9520610760*t**3
Find the third derivative of 55650415*m**3 + 680*m**2 + 10889 wrt m.
333902490
Find the first derivative of -22178829*k**3 - 22271096.
-66536487*k**2
Find the second derivative of 204*n**5 - 7552*n**3 - 167936823*n wrt n.
4080*n**3 - 45312*n
What is the second derivative of -3485*t**3*u**3 + 2286*t**3*u**2 + 370*t*u**3 - 5*t*u**2 - 1222*t wrt t?
-20910*t*u**3 + 13716*t*u**2
What is the derivative of -8763*u*x + 50816914*u + 1977*x wrt x?
-8763*u + 1977
What is the second derivative of 46*d**3*m - 199*d**3 + 30*d**2 - 33*d + 268885*m wrt d?
276*d*m - 1194*d + 60
Find the third derivative of 76720131*z**3 - 1286659*z**2 - 151.
460320786
What is the derivative of 11005237*o**4 - 28052621?
44020948*o**3
What is the first derivative of -261040052*i**3
|
{
"pile_set_name": "DM Mathematics"
}
|
7?
True
Does 7 divide 44327031?
True
Is 651017480 a multiple of 249?
False
Is 197 a factor of 950504709?
True
Is 17356718 a multiple of 15?
False
Is 859 a factor of 93318324?
True
Does 18 divide 240267738?
False
Does 4 divide 5610079?
False
Does 456 divide 218692597?
False
Is 25 a factor of 826808575?
True
Is 56 a factor of 118686064?
True
Is 14 a factor of 104098953?
False
Is 116 a factor of 196279720?
False
Is 2015 a factor of 8587696260?
True
Does 33 divide 17723112?
True
Is 16459982 a multiple of 77?
True
Is 13 a factor of 18013320?
True
Does 319 divide 867731349?
False
Does 222 divide 15145423?
False
Does 5706 divide 1882318784?
False
Is 230837880 a multiple of 273?
True
Does 1961 divide 1387842760?
False
Is 774353319 a multiple of 32?
False
Is 3361 a factor of 2007701486?
False
Is 17 a factor of 627512942?
True
Is 103 a factor of 229365035?
True
Is 5 a factor of 256636235?
True
Is 818 a factor of 265456542?
True
Is 1489 a factor of 88207294?
False
Is 62 a factor of 31870659?
False
Is 371 a factor of 10452623?
False
Is 34 a factor of 273714620?
True
Does 11 divide 45283677?
False
Does 241 divide 766759575?
True
Is 38028298 a multiple of 22?
True
Is 10 a factor of 163184069?
False
Is 13 a factor of 179018385?
True
Does 392 divide 31446058?
False
Is 260055732 a multiple of 1086?
True
Is 1773 a factor of 3067733456?
False
Does 11475 divide 1457027668?
False
Is 714339578 a multiple of 162?
False
Is 169640843 a multiple of 5088?
False
Is 131265843 a multiple of 2?
False
Is 914757672 a multiple of 289?
False
Is 23456046 a multiple of 6?
True
Is 701 a factor of 961651407?
False
Is 159978840 a multiple of 1318?
True
Does 1068 divide 87787435?
False
Does 56 divide 423334800?
True
Is 9 a factor of 76814567?
False
Is 2 a factor of 46704108?
True
Is 38391265 a multiple of 14?
False
Is 334879811 a multiple of 371?
True
Is 1846651451 a multiple of 326?
False
Is 199847202 a multiple of 456?
False
Is 9 a factor of 131499684?
True
Is 1264 a factor of 248108457?
False
Does 10192 divide 71793688?
False
Is 206 a factor of 46754302?
False
Does 1234 divide 17415442?
True
Is 136 a factor of 635833728?
True
Does 5 divide 297753805?
True
Does 59 divide 29825600?
False
Does 39 divide 49238958?
False
Is 1093868854 a multiple of 26?
True
Is 271 a factor of 66516137?
True
Is 1161 a factor of 49639716?
True
Does 11 divide 995786132?
True
Does 27 divide 317223169?
False
Is 64706244 a multiple of 308?
False
Does 420 divide 168799620?
False
Is 2845763520 a multiple of 160?
True
Is 3 a factor of 55467?
True
Is 255 a factor of 2058963880?
False
Is 286 a factor of 59187286?
False
Is 4 a factor of 521960476?
True
Is 295791344 a multiple of 12?
False
Is 18403884 a multiple of 94?
True
Does 161 divide 1210976223?
False
Is 15 a factor of 46532141?
False
Is 1074 a factor of 339037827?
False
Is 451 a factor of 128753284?
True
Is 60660980 a multiple of 314?
False
Is 1042 a factor of 24125426?
True
Is 73943659 a multiple of 466?
False
Is 81181008 a multiple of 21?
False
Does 784 divide 4476640?
True
Does 2455 divide 360597582?
False
Does 2723 divide 2057615889?
True
Does 31 divide 5003386?
False
Is 9696143 a multiple of 83?
True
Is 6 a factor of 19409132?
False
Is 618133725 a multiple of 1507?
True
Is 763363500 a multiple of 489?
False
Does 238 divide 943697?
False
Is 3184511 a multiple of 451?
True
Is 35500080 a multiple of 70?
True
Is 438 a factor of 125239530?
True
Does 3551 divide 111334503?
True
Is 106 a factor of 17547080?
False
Is 162 a factor of 15182964?
True
Is 1322282797 a multiple of 1655?
False
Does 388 divide 4153152?
True
Is 302 a factor of 10880758?
True
Is 34409725 a multiple of 31?
False
Does 568 divide 34105560?
True
Does 13 divide 106713841?
True
Does 11712 divide 2062752576?
True
Is 210 a factor of 424803516?
False
Is 1179 a factor of 369347237?
False
Is 64550862 a multiple of 11?
False
Is 75479600 a multiple of 392?
True
Does 29 divide 11360402?
True
Is 4664229 a multiple of 1541?
False
Does 107 divide 148195222?
False
Is 8 a factor of 108972365?
False
Is 68 a factor of 119952544?
True
Is 65956000 a multiple of 1000?
True
Does 82 divide 6935560?
True
Is 411 a factor of 1470197589?
False
Does 173 divide 4314197050?
False
Is 6056651 a multiple of 3?
False
Is 19343681 a multiple of 122?
False
Is 16 a factor of 112844672?
True
Does 6 divide 529474122?
True
Does 24 divide 1176427262?
False
Is 1377571637 a multiple of 1087?
False
Is 98412448 a multiple of 32?
True
Is 3213335 a multiple of 2?
False
Does 654 divide 303249336?
True
Is 640 a factor of 1149022720?
True
Is 2182 a factor of 81076574?
True
Is 5358618 a multiple of 477?
True
Is 7508961 a multiple of 21?
False
Is 247735772 a multiple of 798?
False
Is 1321347066 a multiple of 4173?
True
Is 37910235 a multiple of 1028?
False
Is 216 a factor of 26209872?
True
Does 10 divide 22371736?
False
Is 10 a factor of 45126298?
False
Is 562 a factor of 597858296?
False
Does 145 divide 235464195?
True
Is 2744 a factor of 40995360?
True
Does 1420 divide 364307660?
False
Does 3453 divide 116138202?
True
Is 42271320 a multiple of 206?
False
Is 672 a factor of 22637664?
True
Is 10 a factor of 224528083?
False
Does 685 divide 287123122?
False
Does 11 divide 122653124?
True
Is 56950690 a multiple of 13?
False
Is 35195820 a multiple of 44?
True
Does 421 divide 1228899?
True
Is 3202 a factor of 597036439?
False
Is 437726669 a multiple of 51?
False
Is 75 a factor of 3638850?
True
Is 68782033 a multiple of 93?
False
Is 26 a factor of 16511463?
False
Is 65009600 a multiple of 400?
True
Does 18 divide 314297964?
True
Does 442 divide 146146858?
True
Does 687 divide 122470779?
False
Is 1414796196 a multiple of 14?
False
Is 407051736 a multiple of 104?
True
Is 4 a factor of 27724198?
False
Is 14346816 a multiple of 48?
True
Is 8320805 a multiple of 347?
False
Is 2043149416 a multiple of 88?
True
Is 236761569 a multiple of 33?
True
Is 1222700093 a multiple of 72?
False
Is 1035425922 a multiple of 1181?
False
Is 259737800 a multiple of 56?
True
Does 14 divide 749041328?
True
Is 448370838 a multiple of 1506?
True
Does 4 divide 9191539?
False
Is 96467978 a multiple of 44?
False
Is 29 a factor of 10924407?
False
Does 23 divide 1299346581?
False
Is 821 a factor of 251442744?
True
Is 21 a factor of 354923457?
True
Is 151535785 a multiple of 2976?
False
Is 939219001 a multiple of 14?
False
Is 29957451 a multiple of 17?
True
Does 155 divide 7598390?
False
Does 18 divide 37898256?
False
Is 1548015048 a multiple of 18?
True
Is 8 a factor of 480786?
False
Is 301 a factor of 35138439?
True
Does 1201 divide 62819452?
False
Does 32 divide 31831146?
False
Is 23636368 a multiple of 40?
False
Does 96 divide 160635456?
True
Does 2740 divide 141633340?
True
Does 133 divide 198146881?
False
Does 14 divide 100184672?
True
Does 15 divide 2930624459?
False
Is 195754780 a multiple of 28?
False
Does 120 divide 3361200?
True
Is 270 a factor of 20300760?
True
Does 55 divide 55741290?
True
Is 56631229 a multiple of 19?
True
Does 68 divide 48812828?
False
Is 252 a factor of 573471367?
False
Does 2435 divide 108343765?
False
Is 71 a factor of 163990679?
False
Does 2 divide 4594718?
True
Does 22 divide 63883050?
True
Is 1407380897 a multiple of 193?
True
Is 45 a factor of 279997785?
True
Is 523854492 a multiple of 6076?
True
Is 2089398840 a multiple of 6954?
True
Is 14 a factor of 1050201538?
False
Is 380999862 a multiple of 663?
False
Does 33 divide 1307137726?
False
Is 726 a factor of 118223292?
True
Does 117 divide 655846147?
False
Does 20 divide 79974640?
True
Is 409 a factor of 5612352397?
True
Does 32 divide 12048096?
True
Does 54 divide 81454572?
True
Is 34 a factor of 2175982898?
True
Is 115 a factor of 676831004?
False
Does 20 divide 160351520?
True
Is 411919092 a multiple of 732?
True
Is 55599561 a multiple of 45?
False
Is 268 a factor of 156354148?
True
Is 117982899 a multiple of 255?
False
Is 30 a factor of 1400508326?
False
Is 4830 a factor of 41925784?
False
Is 99755543 a multiple of 41?
False
Is 1212532041 a multiple of 1224?
False
Does 13 divide 1729689247?
True
Is 3607290235 a multiple of 193?
False
Is 336365976 a multiple of 692?
True
Is 4734513745 a multiple of 1426?
False
Does 300 divide 229116?
False
Is 261 a factor of 276965873?
False
Is 44 a
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.28, -1, 0.2?
-0.28
What is the second biggest value in -1/2, 0.1, -9/2, 2/7, -16?
0.1
Which is the fifth biggest value? (a) 2/11 (b) 0.1 (c) -4 (d) 2/9 (e) 746
c
Which is the smallest value? (a) 0 (b) 0.2 (c) 37 (d) 1
a
Which is the second biggest value? (a) -1/12 (b) 0.4 (c) -7
a
What is the second smallest value in 2, -34, -2/5?
-2/5
Which is the fourth biggest value? (a) 1 (b) 0.3 (c) -2/11 (d) -2
d
What is the fourth biggest value in -24, 3, -0.1, -21/26?
-24
What is the biggest value in -15/17, -3, -2/11, 0.1?
0.1
What is the second biggest value in -5, -18, -1/5, 0.4?
-1/5
Which is the biggest value? (a) 6.5 (b) 3 (c) -11 (d) -2
a
What is the second biggest value in -1/9, -2/53, 7.6, -0.2, -3?
-2/53
Which is the third biggest value? (a) 0.5 (b) 2 (c) 0.09
c
Which is the smallest value? (a) 22574 (b) -3 (c) 1
b
What is the biggest value in -3, 1/28, -1/8?
1/28
What is the second biggest value in 37, 3/2, 1.3?
3/2
Which is the second smallest value? (a) -5 (b) -2 (c) 1/13
b
What is the fourth smallest value in -0.4, 4/7, -0.3, -59?
4/7
Which is the second smallest value? (a) 0.1 (b) -1 (c) -0.62 (d) -1/5 (e) 7
c
Which is the fourth smallest value? (a) -2 (b) -7 (c) -4 (d) 2/7 (e) 27/8
d
Which is the smallest value? (a) 3874 (b) 0 (c) -2
c
Which is the fourth biggest value? (a) -1 (b) -1/12 (c) -6 (d) 0.2
c
Which is the fifth biggest value? (a) -10/9 (b) 0 (c) -1/3 (d) -2/17 (e) -6
e
What is the smallest value in -2/3, 5, -8?
-8
Which is the smallest value? (a) 3/5 (b) -2/9 (c) 1/6
b
Which is the smallest value? (a) -0.5 (b) -2/7 (c) -10.9 (d) 1
c
What is the third biggest value in 0.2, -3, -1/2, -7.1?
-3
Which is the biggest value? (a) 1/62 (b) -2/5 (c) 4
c
What is the third biggest value in -1/6, 0, 5, -0.2?
-1/6
What is the second biggest value in -166, 1, -2/3?
-2/3
Which is the second smallest value? (a) -4 (b) -3/4 (c) -9 (d) 1
a
Which is the third smallest value? (a) -5 (b) 3/10 (c) 4 (d) -0.4 (e) -11
d
What is the second biggest value in -95/6, -4, 4?
-4
Which is the third smallest value? (a) -8 (b) -0.4 (c) -3 (d) -2/3 (e) 4
d
Which is the third biggest value? (a) 3/5 (b) 5/2 (c) 5.3 (d) 3
b
What is the third biggest value in -9, -4/7, -2/15, -1/2?
-4/7
What is the fourth smallest value in -5, 0, 15/11, -4/5?
15/11
Which is the second smallest value? (a) 2.7 (b) -0.5 (c) -0.3
c
What is the biggest value in 4, -2, 606?
606
Which is the smallest value? (a) 116 (b) 2 (c) -0.5 (d) -1
d
Which is the second biggest value? (a) -3 (b) 0.3 (c) 2877
b
Which is the biggest value? (a) -0.5 (b) 36 (c) 2
b
Which is the second smallest value? (a) -2/11 (b) -0.3 (c) 1 (d) 0.7 (e) -3/5
b
What is the third biggest value in 5, -4, 0.07, -3?
-3
What is the biggest value in -26, -1, 1/4?
1/4
Which is the third smallest value? (a) 0 (b) -5 (c) 0.3 (d) 2 (e) -16
a
What is the second biggest value in 127, -2, 2?
2
What is the fourth biggest value in -2, 0.2, 4.2, 0.5, 4?
0.2
What is the second smallest value in -12.8, -5, 0?
-5
Which is the third smallest value? (a) -194 (b) 0.1 (c) -5
b
Which is the third smallest value? (a) 0.57 (b) -0.4 (c) 5/2
c
What is the fourth biggest value in 2, -5/29, 3, -0.2?
-0.2
What is the second biggest value in -2, 2, 1, -15?
1
Which is the smallest value? (a) -4/5 (b) -2 (c) -0.04 (d) 0.2 (e) -0.4
b
What is the second smallest value in -16/3, 3, 6/11?
6/11
What is the third smallest value in 0.1, 5/6, -10.2?
5/6
Which is the biggest value? (a) 5/23 (b) 2 (c) -1/2
b
What is the third biggest value in -0.06, 1, -0.78?
-0.78
What is the third biggest value in 1, -9/5, 1/3?
-9/5
Which is the biggest value? (a) -4 (b) -2/27 (c) 0.1 (d) 6/5
d
What is the second smallest value in -11, 2/3, -12/5?
-12/5
What is the fourth biggest value in 0.5, -5, 12, 2?
-5
Which is the second smallest value? (a) 2/3 (b) 0.5 (c) -4
b
What is the fourth biggest value in 0.2, 2/3, 1/4, 0.5, -4?
0.2
What is the fourth biggest value in -3, 34, 0.4, -0.3, -1?
-1
Which is the third smallest value? (a) -0.4 (b) -1/2 (c) -18301
a
What is the second biggest value in -10/13, -0.3, 2?
-0.3
What is the fourth smallest value in -2, 2/21, 4/9, -0.3?
4/9
What is the biggest value in 5, 8, 0.3?
8
What is the biggest value in 2.6, 3/2, 0.4?
2.6
Which is the smallest value? (a) 0 (b) -15 (c) -0.3
b
Which is the second smallest value? (a) -37 (b) 0.06 (c) -13
c
Which is the second biggest value? (a) -1/7 (b) 2/21 (c) -2/43 (d) 4
b
What is the third smallest value in 0.377, -2/7, 3?
3
What is the second biggest value in 182, 4, -0.1?
4
Which is the smallest value? (a) -4.9 (b) 1/3 (c) -2 (d) 1/2
a
Which is the third biggest value? (a) 5 (b) -0.4 (c) -4/7
c
Which is the fourth smallest value? (a) -4 (b) 0.2 (c) 3 (d) 0.01
c
Which is the second biggest value? (a) -2 (b) -0.4 (c) -1/10
b
What is the smallest value in 16, -3, 2, -5, -0.1?
-5
Which is the third biggest value? (a) -0.08 (b) 0.1 (c) 5 (d) 227 (e) 0.3
e
What is the fourth biggest value in 4, -2/9, 2, 365?
-2/9
Which is the fourth biggest value? (a) -5 (b) 133 (c) -1/2 (d) -1
a
Which is the fourth smallest value? (a) -1/4 (b) 0.5 (c) 0.013 (d) 4
d
Which is the third biggest value? (a) -91/2 (b) 2/11 (c) -0.5 (d) -1
d
Which is the second smallest value? (a) 6 (b) 3/7 (c) -21 (d) 70
b
Which is the third smallest value? (a) 1/8 (b) -14 (c) 3/8 (d) 0.3 (e) 0
a
Which is the smallest value? (a) -4 (b) 567 (c) 8/7
a
What is the third smallest value in 2/5, -0.8, -1, 1/5?
1/5
What is the smallest value in 11, -2, 0.06?
-2
What is the fourth biggest value in 4/5, 0.06, 0.03, -5, -0.1?
-0.1
What is the third smallest value in 2/15, 0.2, 443?
443
Which is the second biggest value? (a) 1/8 (b) -13.3 (c) 3
a
Which is the second biggest value? (a) 0.1 (b) 52 (c) -0.1 (d) 3
d
What is the second biggest value in 0.2, 10, -5, 1/15?
0.2
What is the biggest value in -3/7, -0.5, 2/33?
2/33
Which is the fourth smallest value? (a) 0.3 (b) -1 (c) -0.099 (d) 4/5
d
Which is the fifth smallest value? (a) -5 (b) -0.4 (c) -0.12 (d) 7 (e) 1/8
d
Which is the biggest value? (a) -3/7 (b) -0.4 (c) 3 (d) 1/3
c
Which is the third smallest value? (a) 2/7 (b) -1.5 (c) 0
a
What is the second biggest value in 9/2, -49, -3?
-3
Which is the biggest value? (a) -10 (b) -4 (c) -8.3 (d) 0
d
Which is the fourth biggest value? (a) -2 (b) -2/19 (c) -30 (d) 0.5 (e) -3
e
Which is the third smallest value? (a) 1/4 (b) -1 (c) -0.02
a
What is the biggest value in 0, 6, 1.4?
6
What is the biggest value in -16, -0.3, 1/18, 2/9, 1?
1
What is the third smallest value in 0.03, 10, -0.1?
10
What is the third biggest value in -4, 2916, -5?
-5
What is the biggest value in 4, 1/3, 2, -0.5?
4
What is the biggest value in 0.4, 2/19, -3, 3?
3
What is the biggest value in -29, -0.1, -2, -1?
-0.1
What is the smallest value in 1, -4/7, -0.35?
-4/7
Which is the second smallest value? (a) -12 (b) 0.6 (c) 0.5
c
What is the second smallest value in -2, -1/10, 27, -0.07, 2?
-1/10
What is the second biggest value in 0.3, 36/7, 2/13, 0.5?
0.5
What is the smallest value in 3, 184/3, -1?
-1
What is the fourth smallest value in -2/5, 2/15, 2/9, 4?
4
What is the third smallest value in -3.08, -1/8, -4, 2/13?
-1/8
What is the fourth biggest value in 1/4, -2/9, 0, -3, 5?
-2/9
Which is the second biggest value? (a) -1/4 (b) 1 (c) -5 (d) -10 (e) 5
b
What is the second smallest value in -0.4, 4, -84, 12, -4?
-4
What is the smallest value in -4, -94.6, -3?
-94.6
Which is the second biggest value? (a) 1/2 (b) -24 (c) -0.2 (d) 2
a
What is the biggest value in 1/15, -4, -106?
1/15
What is the third biggest value in 2, 1/5, 7, -12, -4?
1/5
What is the third smallest value in 2/153, 0.2, -3/5, 0.1, 2?
0.1
Which is the second biggest value? (a) 2/7 (b) 2/3 (c) -5 (d) 541
b
Which is the second smallest value? (a) 5 (b) -20 (c) -0.1 (d) -3
d
Which is the biggest value? (a) 1 (b) 2/3 (c) 19 (d) 0.4
c
Which is the third biggest value? (a) -0.3 (b) 672 (c) -4
c
Which is the second smallest value? (a) 3 (b) 0.47 (c) 0.02
b
Which is the third smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
*p*u**2 wrt p.
65*i**2*u**2 - 2*u**2
Find the third derivative of 208*j**6*n - 106*j**2*n wrt j.
24960*j**3*n
What is the derivative of 2*o*z**2 + 3*o + 872*z**2 - 673 wrt z?
4*o*z + 1744*z
What is the derivative of 9*j**3 - 82*j**2 + 1906?
27*j**2 - 164*j
Find the third derivative of -11*j**3*o**3 + 14*j**3*o**2 + 2*j**3 + 2*j*o**2 - 10*o**3 wrt o.
-66*j**3 - 60
Find the second derivative of -3*g**2*i*o**2 - 2*g**2*i*o - 1846*g**2*i + 18*g*i**2*o**2 + 2*g*o**2 + 2*i**2 wrt o.
-6*g**2*i + 36*g*i**2 + 4*g
Find the second derivative of f**2*n**3*q + 6*f**2*n*q + 4*f**2*q - 15*f*n**3*q - 3*n**3*q wrt n.
6*f**2*n*q - 90*f*n*q - 18*n*q
What is the second derivative of 1977*b**5 + 1608*b wrt b?
39540*b**3
What is the second derivative of -32*b**2*g - b**2 + 153*b*g - 21*g wrt b?
-64*g - 2
Differentiate 1693*n**2 - 8151.
3386*n
Differentiate -15927*s**4 + 15011.
-63708*s**3
Find the second derivative of -18*a**2*o**2 - 74*a**2*o + 8*a*o**2 wrt o.
-36*a**2 + 16*a
Differentiate 10*b**3 + 6*b**2*w - 1714*w with respect to b.
30*b**2 + 12*b*w
Differentiate -x**4 - 2*x**3 + 4*x**2 - 8312.
-4*x**3 - 6*x**2 + 8*x
What is the first derivative of 36*d**4*o**2 + 7*d*o**2 + 822*o**2 wrt d?
144*d**3*o**2 + 7*o**2
What is the second derivative of -3*d**3 - 174*d**2 - 1770*d wrt d?
-18*d - 348
Find the third derivative of 15*o**6 + 43*o**5 - 2*o**4 - o**2 + o - 117.
1800*o**3 + 2580*o**2 - 48*o
What is the second derivative of -40*w**4 - 26*w + 5 wrt w?
-480*w**2
Differentiate -5*h**3*x + h**3 - 8*h**2*x + 1977*x with respect to h.
-15*h**2*x + 3*h**2 - 16*h*x
What is the second derivative of -97*k**4 + k**2 + k + 11?
-1164*k**2 + 2
Find the second derivative of 199*o**2*y**3 + 5*o + 10*y**3 wrt o.
398*y**3
Find the second derivative of -g**5 - 1042*g**4 - 717*g wrt g.
-20*g**3 - 12504*g**2
What is the third derivative of -13342*k**5 - 635*k**2 - 2 wrt k?
-800520*k**2
What is the second derivative of -65*i**3 + i + 19?
-390*i
What is the second derivative of z**4 - 56*z**3 - 4*z**2 - 2*z - 7407?
12*z**2 - 336*z - 8
What is the second derivative of -225*p**3 - p - 24 wrt p?
-1350*p
Find the first derivative of -6334*i**2 - 1217 wrt i.
-12668*i
What is the third derivative of 23*m**4 + 172*m**3 + 874*m**2 - 3*m + 1 wrt m?
552*m + 1032
Differentiate 2311*j - 798.
2311
Differentiate -a*g**2 - 11*a*g - 128*a - g**2 wrt g.
-2*a*g - 11*a - 2*g
Find the second derivative of -3720*b**4 - 6669*b.
-44640*b**2
Find the second derivative of 8*t**3*u**2 - 559*t**3 - 38*t*u**2 - 2*t*u - 14*t - 4*u**2 wrt t.
48*t*u**2 - 3354*t
What is the first derivative of 1991*a*m**3 + 3855*m**3 wrt a?
1991*m**3
What is the third derivative of -8*f**4*l**2 + 4*f**4 - 4*f**2*l + 45*f*l**2 wrt f?
-192*f*l**2 + 96*f
What is the first derivative of 260*u**4 + u**3 + 1022?
1040*u**3 + 3*u**2
What is the third derivative of 2*c**3*o**2 + 28*c**3 - c**2*o**2 - 236*c**2*o + 2 wrt c?
12*o**2 + 168
What is the third derivative of 2*o**3*y**3 + 6*o**3*y**2 - 3*o**2*y**2 + y**3 - 4*y**2 wrt o?
12*y**3 + 36*y**2
Find the second derivative of -3*x**4 - 110*x**3 + x**2 - 61*x - 33.
-36*x**2 - 660*x + 2
What is the second derivative of -21*x**4 + 7*x**3 - 227*x wrt x?
-252*x**2 + 42*x
What is the second derivative of -20*p**2*z**2 + 2*p**2*z + 10*p**2 + 84*p*z**2 - p + 2*z**2 + 1 wrt p?
-40*z**2 + 4*z + 20
Find the third derivative of 31*l**3*m**3 + l**3*m - 42*l**2*m**3 - l**2*m wrt l.
186*m**3 + 6*m
Find the third derivative of 2868*r**5 + 850*r**2 wrt r.
172080*r**2
What is the derivative of -31*c*f**3*p**3 + 3*c*f**3*p**2 + 2*f**3*p**3 - 27*f**3*p - 3 wrt c?
-31*f**3*p**3 + 3*f**3*p**2
Find the second derivative of k**2*s**4 - 20*k**2*s*u + 40*s**4*u - 2 wrt s.
12*k**2*s**2 + 480*s**2*u
Find the first derivative of -165*i*r**2 - 1346*i + r**2 wrt r.
-330*i*r + 2*r
What is the third derivative of -4222*t**3 - 13*t**2 - 13 wrt t?
-25332
Find the second derivative of -21*a**5*f + 2*a**2*f**3 - 2*a*f**3 - 4*a - 6*f**3 wrt a.
-420*a**3*f + 4*f**3
What is the derivative of -3316*j**3 + 643 wrt j?
-9948*j**2
What is the derivative of -2*h**3*x - 15*h**3 - 2*h**2*x**3 + 124*x**3 - 1 wrt h?
-6*h**2*x - 45*h**2 - 4*h*x**3
What is the third derivative of -42*c**4*z**2 - c**3*z**2 + c**2*z**2 - 24*z**2 + 2*z wrt c?
-1008*c*z**2 - 6*z**2
Differentiate -2*r**4 + r**3 - 170*r - 898 wrt r.
-8*r**3 + 3*r**2 - 170
Differentiate -4*l**2*z**3 + l**2*z - 8*l*z**2 + 4*z**3 + 19*z wrt l.
-8*l*z**3 + 2*l*z - 8*z**2
Find the second derivative of -2317*a**2 + a + 1956.
-4634
Find the second derivative of 3*a**2*w**2 + 2*a**2*w - 2*a*o*w + 2*o*w**2 - 39*o - 2*w**2 wrt w.
6*a**2 + 4*o - 4
Find the third derivative of -16*p**3 - 93*p**2 + 1.
-96
Find the third derivative of -505*m**3 + 3*m**2 - 8*m wrt m.
-3030
What is the third derivative of -299*v**6 + 2*v**2 + 22*v?
-35880*v**3
What is the second derivative of -2*s**3 - 84*s**2 + 13*s - 6?
-12*s - 168
What is the second derivative of 3*s**4*u - s**3*u + 146*s**3 + 119*s*u + 9*u - 3 wrt s?
36*s**2*u - 6*s*u + 876*s
What is the derivative of 3201*g**3*s + 335*g**3 - g**2 wrt s?
3201*g**3
Find the first derivative of 143*j - 1033 wrt j.
143
Differentiate -111*i**2 - i - 193.
-222*i - 1
What is the third derivative of 1506*i**6 - 3*i**3*p**3 - 13*i**2*p**2 - 107*i + p**3 + 2 wrt i?
180720*i**3 - 18*p**3
Find the third derivative of -9*a**6*x - 9*a**3*x**3 + a**2*x - 11*a*x**2 + x**3 wrt a.
-1080*a**3*x - 54*x**3
Differentiate 2965*x - 3532 wrt x.
2965
What is the third derivative of -k**6 + 10*k**4*z + k**3*z - 11*k**2*z - 3*k*z wrt k?
-120*k**3 + 240*k*z + 6*z
What is the third derivative of -2*o**4 - 263*o**3 - 904*o**2?
-48*o - 1578
What is the third derivative of -19*g**4 - 12*g**3 + 660*g**2?
-456*g - 72
Find the second derivative of -96*a**2 - a + 300 wrt a.
-192
Find the third derivative of -4245*l**4 - 4959*l**2.
-101880*l
What is the third derivative of -9*b*k**3 + 4*b*k**2 - 4*k**3 + 475*k wrt k?
-54*b - 24
What is the second derivative of 1876*y**5 + 2*y - 1674?
37520*y**3
Find the first derivative of 6*k**2 + 3*k + 33.
12*k + 3
What is the first derivative of -398*o**4 - 420?
-1592*o**3
What is the derivative of -h**2*r**4 - 172*h**2*r + 627*h**2 wrt r?
-4*h**2*r**3 - 172*h**2
What is the second derivative of 15*c**3*k + 2*c**3 - 2*c**2 + 41*c*k - 26 wrt c?
90*c*k + 12*c - 4
Find the second derivative of 7*l**3*n + 4*l**3 - 2*l**2*n + 14*l*n - l + n wrt l.
42*l*n + 24*l - 4*n
Find the second derivative of -372*a*c**2*p**2 + 29*a*c*p**2*w + 2*a*p**2 + 4*c**2*p**2*w - c - 22*p**2*w wrt c.
-744*a*p**2 + 8*p**2*w
Find the third derivative of -18394*v**3 - 4*v**2 + 1709.
-110364
Find the second derivative of -49*o**2*p**5 + o**2*p**4 + o**2*p - o**2 - 101 wrt p.
-980*o**2*p**3 + 12*o**2*p**2
What is the first derivative of -4*k**4 - 14*k*q + 277*q - 2 wrt k?
-16*k**3 - 14*q
Find the second derivative of 161*l**2*o - 3*l**2 - 170*l*o - 6*o wrt l.
322*o - 6
What is the derivative of -529*c - 476 wrt c?
-529
Find the third derivative of -7*t**4 - 105*t**3 + 5*t**2 + 657.
-168*t - 630
Find the second derivative of -3*b**3 + b**2 + 9*b - 5.
-18*b + 2
Find the first derivative of 2*b**4 + 96*b**3 - 106 wrt b.
8*b**3 + 288*b**2
Find the third derivative of 464*o**4*q**2 - 18*o**4*q + 3*o**2*q + 7682*o*q**2 wrt o.
11136*o*q**2 - 432*o*q
What is the first derivative of 7*f**2*s**2 - 3*f**2*v + 44*f*s*v + s**2*v - 277*s**2 + v wrt f?
14*f*s**2 - 6*f*v + 44*s*v
What is the first derivative of 248*n**3 + 48?
744*n**2
What is the derivative of -294*s**3 + 113?
-882*s**2
Differentiate s**3 - 88*s**2 + 86 with respect to s.
3*s**2 - 176*s
Differentiate 19*b**3*c*i**2 - 237*b**3*i**3 - 9*b**3*i + 37*b**2*c*i**3 with respect to c.
19*b**3*i**2 + 37*b**2*i**3
Find the third derivative of 20*g**3*q**2 + 7*g**3*q - g**3 + 3*g**2*q + 9*g**2 - 5*q**2 - q wrt g.
120*q**2 + 42*q - 6
Find the third derivative of -2*f**5 + 276*f**4 + 154*f**2 wrt f.
-120*f**2 + 6624*f
Find the third derivative of 1512*o**6 + 122*o**2 - 4.
181440*o**3
Find the third derivative of -8598*k**3 - 2*k**2 - 229*k.
-51588
What is the third derivative of -120*x**4 + 78*x**2 - 1?
-2880*x
Differentiate 2*l*q**4 - 21*l*q**3 + l*q**2 - 165*l wrt q.
8*l*q**3 - 63*l*q**2 + 2*l*q
Find the second derivative of 72*q**4 - 3*q**3 - 41
|
{
"pile_set_name": "DM Mathematics"
}
|
, to the nearest integer?
150
What is 1275 to the power of 1/4, to the nearest integer?
6
What is the fifth root of 5760 to the nearest integer?
6
What is 12137 to the power of 1/6, to the nearest integer?
5
What is the third root of 1442 to the nearest integer?
11
What is the square root of 19487 to the nearest integer?
140
What is the square root of 833 to the nearest integer?
29
What is the square root of 2703 to the nearest integer?
52
What is 8020 to the power of 1/2, to the nearest integer?
90
What is 747 to the power of 1/3, to the nearest integer?
9
What is the sixth root of 1567 to the nearest integer?
3
What is 1165 to the power of 1/2, to the nearest integer?
34
What is the ninth root of 22723 to the nearest integer?
3
What is 2629 to the power of 1/2, to the nearest integer?
51
What is 14770 to the power of 1/3, to the nearest integer?
25
What is the tenth root of 886 to the nearest integer?
2
What is 14338 to the power of 1/2, to the nearest integer?
120
What is the tenth root of 8872 to the nearest integer?
2
What is 3966 to the power of 1/9, to the nearest integer?
3
What is 15458 to the power of 1/10, to the nearest integer?
3
What is 13464 to the power of 1/8, to the nearest integer?
3
What is the seventh root of 4790 to the nearest integer?
3
What is the eighth root of 1804 to the nearest integer?
3
What is 338 to the power of 1/2, to the nearest integer?
18
What is 3131 to the power of 1/3, to the nearest integer?
15
What is the fifth root of 6085 to the nearest integer?
6
What is 12725 to the power of 1/2, to the nearest integer?
113
What is the square root of 8832 to the nearest integer?
94
What is the third root of 18223 to the nearest integer?
26
What is 617 to the power of 1/3, to the nearest integer?
9
What is the cube root of 4468 to the nearest integer?
16
What is 69 to the power of 1/2, to the nearest integer?
8
What is 18793 to the power of 1/2, to the nearest integer?
137
What is 341 to the power of 1/8, to the nearest integer?
2
What is the square root of 2928 to the nearest integer?
54
What is the cube root of 41790 to the nearest integer?
35
What is the square root of 560 to the nearest integer?
24
What is the sixth root of 1376 to the nearest integer?
3
What is 7842 to the power of 1/2, to the nearest integer?
89
What is the square root of 35575 to the nearest integer?
189
What is 21775 to the power of 1/6, to the nearest integer?
5
What is 28114 to the power of 1/2, to the nearest integer?
168
What is the sixth root of 90564 to the nearest integer?
7
What is the cube root of 2385 to the nearest integer?
13
What is 32767 to the power of 1/2, to the nearest integer?
181
What is the third root of 14982 to the nearest integer?
25
What is 104093 to the power of 1/10, to the nearest integer?
3
What is the cube root of 7484 to the nearest integer?
20
What is the ninth root of 34364 to the nearest integer?
3
What is 34396 to the power of 1/7, to the nearest integer?
4
What is the third root of 2571 to the nearest integer?
14
What is 76 to the power of 1/2, to the nearest integer?
9
What is 6626 to the power of 1/10, to the nearest integer?
2
What is the third root of 28434 to the nearest integer?
31
What is the cube root of 28154 to the nearest integer?
30
What is the square root of 1623 to the nearest integer?
40
What is the square root of 7762 to the nearest integer?
88
What is 985 to the power of 1/8, to the nearest integer?
2
What is the third root of 12351 to the nearest integer?
23
What is the seventh root of 3426 to the nearest integer?
3
What is the sixth root of 1298 to the nearest integer?
3
What is 50171 to the power of 1/2, to the nearest integer?
224
What is 24736 to the power of 1/3, to the nearest integer?
29
What is 1300 to the power of 1/2, to the nearest integer?
36
What is 5940 to the power of 1/6, to the nearest integer?
4
What is the square root of 3675 to the nearest integer?
61
What is the sixth root of 6446 to the nearest integer?
4
What is 13820 to the power of 1/3, to the nearest integer?
24
What is the cube root of 2424 to the nearest integer?
13
What is the third root of 638 to the nearest integer?
9
What is the sixth root of 11170 to the nearest integer?
5
What is the tenth root of 51655 to the nearest integer?
3
What is 65817 to the power of 1/5, to the nearest integer?
9
What is the tenth root of 1586 to the nearest integer?
2
What is the sixth root of 9320 to the nearest integer?
5
What is the third root of 33449 to the nearest integer?
32
What is the square root of 120820 to the nearest integer?
348
What is 11055 to the power of 1/2, to the nearest integer?
105
What is the third root of 17521 to the nearest integer?
26
What is the cube root of 4285 to the nearest integer?
16
What is the square root of 21545 to the nearest integer?
147
What is the sixth root of 63054 to the nearest integer?
6
What is the seventh root of 15479 to the nearest integer?
4
What is 17602 to the power of 1/2, to the nearest integer?
133
What is the fifth root of 28729 to the nearest integer?
8
What is the third root of 27927 to the nearest integer?
30
What is the fourth root of 2234 to the nearest integer?
7
What is the tenth root of 992 to the nearest integer?
2
What is 107686 to the power of 1/7, to the nearest integer?
5
What is the square root of 9675 to the nearest integer?
98
What is 9447 to the power of 1/5, to the nearest integer?
6
What is the eighth root of 2090 to the nearest integer?
3
What is the cube root of 4196 to the nearest integer?
16
What is the cube root of 100633 to the nearest integer?
47
What is the fourth root of 9324 to the nearest integer?
10
What is the third root of 36048 to the nearest integer?
33
What is 13533 to the power of 1/5, to the nearest integer?
7
What is the seventh root of 29761 to the nearest integer?
4
What is the third root of 2457 to the nearest integer?
13
What is 1552 to the power of 1/3, to the nearest integer?
12
What is 42753 to the power of 1/3, to the nearest integer?
35
What is the third root of 968 to the nearest integer?
10
What is the eighth root of 7243 to the nearest integer?
3
What is 1028 to the power of 1/6, to the nearest integer?
3
What is 6075 to the power of 1/2, to the nearest integer?
78
What is the third root of 3055 to the nearest integer?
15
What is the square root of 83348 to the nearest integer?
289
What is 55860 to the power of 1/8, to the nearest integer?
4
What is 1286 to the power of 1/2, to the nearest integer?
36
What is the cube root of 12116 to the nearest integer?
23
What is the cube root of 1125 to the nearest integer?
10
What is 1756 to the power of 1/2, to the nearest integer?
42
What is the cube root of 16087 to the nearest integer?
25
What is 1287 to the power of 1/2, to the nearest integer?
36
What is 7516 to the power of 1/3, to the nearest integer?
20
What is the cube root of 607 to the nearest integer?
8
What is the square root of 4843 to the nearest integer?
70
What is the square root of 24229 to the nearest integer?
156
What is the cube root of 19783 to the nearest integer?
27
What is the seventh root of 537 to the nearest integer?
2
What is 119 to the power of 1/3, to the nearest integer?
5
What is the third root of 2794 to the nearest integer?
14
What is 1747 to the power of 1/2, to the nearest integer?
42
What is the square root of 49186 to the nearest integer?
222
What is 53 to the power of 1/6, to the nearest integer?
2
What is the fourth root of 405 to the nearest integer?
4
What is 780 to the power of 1/3, to the nearest integer?
9
What is 21760 to the power of 1/10, to the nearest integer?
3
What is 123946 to the power of 1/2, to the nearest integer?
352
What is the cube root of 47963 to the nearest integer?
36
What is 4380 to the power of 1/2, to the nearest integer?
66
What is 54565 to the power of 1/2, to the nearest integer?
234
What is 109748 to the power of 1/3, to the nearest integer?
48
What is 1450 to the power of 1/9, to the nearest integer?
2
What is 1646 to the power of 1/2, to the nearest integer?
41
What is the cube root of 3130 to the nearest integer?
15
What is the ninth root of 711 to the nearest integer?
2
What is 3766 to the power of 1/6, to the nearest integer?
4
What is 1804 to the po
|
{
"pile_set_name": "DM Mathematics"
}
|
e 0 = -5*m - 3*j + 8, -j + 3*j = -h*m + 4. Is 34 + m/2*4 a multiple of 18?
True
Suppose 80 = z + z - 5*n, 3*z + 3*n - 141 = 0. Is z a multiple of 3?
True
Is 3 + 1 - (-1 + -77) a multiple of 43?
False
Let c(m) = -m**3 + 6*m**2 - 4*m - 5. Let r be c(5). Let q be (r - -3)*(-1 + 2). Let u(z) = -z**3 + 4*z**2 + 3*z - 1. Is u(q) a multiple of 11?
False
Suppose -2*m + 14 = 3*r, -m - 18 = -4*r - 4*m. Let g = r + -15. Is (-6)/((-4)/((-312)/g)) a multiple of 18?
False
Is 14 a factor of (-8)/(-12)*-3 - -16?
True
Let l(x) = 19*x - 94. Does 56 divide l(24)?
False
Let z(h) be the first derivative of h**4/4 - 4*h**3/3 + h**2/2 - 3*h + 4. Let t be z(4). Suppose y + 5 = 0, 4*y + t = -n - 1. Is 9 a factor of n?
True
Suppose 15*t - 350 - 310 = 0. Is 11 a factor of t?
True
Let u(s) = s**3 - 10*s**2 + 2*s + 1. Let b be u(10). Let p be 1/(0 - (-1)/(-2)). Does 12 divide p/(-9)*3*b?
False
Let o(u) = -u + 9. Let n be o(4). Suppose 2 = n*g - 133. Is 9 a factor of g?
True
Suppose -j + 6 = -3*j. Let v(w) = -9*w**3 - 3*w**2 + w - 3. Let h be v(j). Suppose -2*k + 7*k = h. Is k a multiple of 14?
True
Let w(q) = q**3 - 11*q**2 - 19*q + 1. Is w(13) a multiple of 23?
True
Let o be 12/15*(-5)/(-2). Suppose 3*y = -8*a + 3*a + 43, o*a + 50 = 2*y. Is y a multiple of 7?
True
Suppose 4*s = -2*q + 20, -4*q = s - 14 - 5. Suppose 0 = 4*r - q*m - 20, 2*r - 5*m - 2 = 5. Is 3 a factor of r?
True
Let v(q) = q - 6*q - q. Is 18 a factor of v(-3)?
True
Let o = -4 + 7. Suppose -5*w = -1 - 4, q - 12 = -o*w. Is q a multiple of 4?
False
Let k be 1 - 5 - 90/(-10). Suppose z + 47 = 2*a - 44, -3*a + 119 = -k*z. Is 16 a factor of a?
True
Suppose -6*p + 191 = -97. Is p a multiple of 12?
True
Suppose 0 = u + 4 - 23. Is u a multiple of 8?
False
Let k be (-2 - (-42)/5)*5. Let j be (-1 - -4)*(-28)/6. Let z = k + j. Is z a multiple of 11?
False
Let g be (45/12)/(9/(-24)). Let t = -2 - g. Is t a multiple of 7?
False
Let a = 123 - 33. Is 15 a factor of a?
True
Suppose 6*b - 17 = 49. Does 11 divide b?
True
Let m(p) be the third derivative of -11*p**6/40 + p**5/30 + p**4/12 + p**3/6 - p**2. Let x be ((-2)/6)/(1/3). Does 15 divide m(x)?
False
Let j = 7 + -10. Let b(m) = -m**3 - 2*m**2 - 4*m - 3. Is 9 a factor of b(j)?
True
Suppose 0 = -4*t + 3 + 9. Is -1*4/t*-3 a multiple of 3?
False
Suppose 0 = -2*r - 6 - 2. Does 7 divide 126/r*(-8)/12?
True
Let w(a) be the first derivative of 2*a**3/3 + 3*a**2 + 7*a + 1. Let y be w(-6). Suppose m = -0*m + y. Is 15 a factor of m?
False
Let s = -4 + -8. Is 3/4 - 27/s a multiple of 2?
False
Let w = 13 + -8. Suppose 3*k + 4 = w*k. Suppose -6*f = -k*f - 116. Is 24 a factor of f?
False
Let i be -6*((-3)/(-3) + -10). Let w = i + -24. Does 11 divide w?
False
Let w(u) = u**3 + 7*u**2 - 9*u - 10. Let q be w(-8). Let p be q*1/2*3. Is (-129)/(-9) - (-1)/p a multiple of 7?
True
Let v be ((-18)/2)/(-3) - -2. Suppose -390 = -0*d - v*d. Is d a multiple of 24?
False
Let u(x) = -x**3 - 3*x**2 - 5*x - 10. Is 32 a factor of u(-6)?
True
Is 11 a factor of ((-132)/(-36))/(1/15)?
True
Let i(x) = -31*x + 1. Is 10 a factor of i(-3)?
False
Suppose g + 4*c = 28, 9*g = 4*g - 3*c + 72. Let i = 23 - g. Is i a multiple of 3?
False
Let j be 57/(2/((-8)/(-6))). Let l = 64 - j. Let a = l + -4. Is 11 a factor of a?
True
Let r(p) = 4*p - 5. Let o(u) = 3*u - 4. Let g(b) = -5*o(b) + 4*r(b). Suppose -7*m - 20 = -11*m. Does 2 divide g(m)?
False
Suppose 221 = -4*g + 5*x + 841, -5*x + 280 = 2*g. Is g a multiple of 38?
False
Suppose 199 = 3*k + 31. Suppose 4*n - 5*i = -0*n + 20, 0 = 4*n + 4*i - k. Is 5 a factor of n?
True
Let s(p) be the third derivative of -p**5/30 - p**4/3 + p**3 + 2*p**2. Let j be s(8). Is (-3 + 2)/(6/j) a multiple of 11?
False
Let g(b) = -2*b**3 + 3*b**3 - 4*b**3 + 2*b**3 + 4*b**2 + 3. Does 3 divide g(4)?
True
Let a(g) be the first derivative of g**5/30 - g**4/6 + g**3/3 - 2. Let j(b) be the third derivative of a(b). Is j(3) a multiple of 7?
False
Let b(y) = -2 - 7 + 8*y + 7. Is b(2) a multiple of 14?
True
Suppose 3*i - 212 = -l - 3*l, -5*i + 2*l + 310 = 0. Is 16 a factor of i?
True
Let j = -178 + 103. Let q = j - -115. Is q a multiple of 10?
True
Let j = 11 - -7. Does 7 divide j?
False
Suppose -5*p - 18 = 3*g, -p - 3*p = 2*g + 14. Let j be (-6)/p + -3 - 1. Let l = j + 4. Is 2 a factor of l?
True
Let h(z) = 11*z**3 - 25*z**2 - 19*z - 4. Let i(o) = -5*o**3 + 12*o**2 + 9*o + 2. Let q(u) = 6*h(u) + 13*i(u). Let c = -35 + 30. Does 12 divide q(c)?
True
Let b(u) = 3*u**2 - 4*u - 28. Is b(6) a multiple of 8?
True
Is (26/(-104))/((2/(-1688))/1) a multiple of 18?
False
Let z be 66/15 + 6/(-15). Suppose -h = -z*p - 3*h + 4, -16 = -4*p + h. Suppose -22 = -p*l + 32. Is l a multiple of 14?
False
Let j(z) = -z**2 - 8*z - 5. Let k be j(-7). Suppose -k*r + m = -27, -3*r + 23 + 18 = -m. Does 11 divide 4/r + (-440)/(-28)?
False
Let v be (-5)/((-10)/(-6)) + 122. Suppose 0*z + 4*z - v = -5*j, -2*z + 2*j = -46. Is z a multiple of 9?
False
Is 8 a factor of 7/((-21)/(-66)) - -2?
True
Suppose 4*l + 60 = -l. Does 5 divide 4/24 + (-178)/l?
True
Let o(v) = -2*v**2 + 4 - 2*v**2 + 10*v**2 + v**3 + v**2. Does 8 divide o(-6)?
True
Let f(p) = -3*p**2 - 12*p + 1. Let t be f(-4). Let v(l) = l**2 + 4. Let c be v(-5). Suppose a + 2*b - c - t = 0, 4*a + 5*b - 105 = 0. Is a a multiple of 10?
True
Let q(p) = -p**2 - p. Let r be q(2). Let d(h) = h + 10. Is 2 a factor of d(r)?
True
Let u = -109 + 72. Suppose 3*h - 9 = 0, -l + 4*h + 63 = -6*l. Let i = l - u. Is 14 a factor of i?
False
Let b be (32/40)/((-2)/(-10)). Let j be ((-3)/(-4))/1*b. Suppose -i = -4*u + 22, j + 23 = 4*u - 3*i. Is u even?
False
Let i(d) = -d**3 - 10*d**2 - 8*d + 12. Is i(-9) a multiple of 3?
True
Suppose -3*s + 0*s = 207. Let g = s - -115. Is g a multiple of 13?
False
Let t(m) = 2*m. Let g = -2 - -5. Let n be t(g). Let d(o) = o**2 - 5*o - 1. Is d(n) a multiple of 2?
False
Let a(x) = -2*x - 1. Let o be a(-2). Suppose o*n = 2*n + 4. Let d = 0 + n. Does 4 divide d?
True
Let d(o) = -o**2 + 5*o + 2. Let n be d(4). Let t = 8 - n. Suppose -22 = -t*p - r + 24, -p - 2*r + 29 = 0. Is p a multiple of 7?
True
Suppose 2*h = 50 + 50. Suppose -90 = -4*v + h. Is v a multiple of 14?
False
Let g(t) = 46*t - 1 + 70*t - 1 + 1. Let d be g(1). Suppose 5*x + 3*r = d, r + 9 - 56 = -2*x. Does 24 divide x?
False
Let q(s) = 3*s + 12 + 1 - 1 - 1. Let w(b) = -b**3 + 5*b**2 + 8*b - 3. Let a be w(6). Does 19 divide q(a)?
True
Suppose -p = 6 - 32. Is p a multiple of 13?
True
Let m = 76 + 27. Does 13 divide m?
False
Suppose 3*b = -t - b + 50, -2*t + 112 = 2*b. Is t a multiple of 9?
False
Let p = -10 + -6. Is 1 - (p - 2)/3 a multiple of 7?
True
Let m(g) = -g + 15. Is m(5) a multiple of 10?
True
Suppose -420 = -17*u + 158. Is 10 a factor of u?
False
Suppose 0*b + 360 = 5*b. Is b a multiple of 8?
True
Let q = 14 + 24. Does 10 divide q?
False
Let i = 72 + -49. Suppose -3*l + 52 = 5*j - 7*l, j = 5*l + i. Is j a multiple of 2?
True
Suppose 0*x = 5*w - 5*x + 15, 5 = 5*x. Let c(p) = -4*p**3 - 2*p**2 + 2. Is c(w) a multiple of 6?
False
Suppose 2*r = f - 9, 0 = 3*r - 5*r + 2*f - 6. Let n(z) = -z**3 - 7*z**2 - 8*z - 2. Let w be n(r). Suppose 3*l + w = 46. Is l a multiple of 5?
False
Let l = 85 - 45. Is l a multiple of 10?
True
Is (2 + (-148)/6)*6/(-4) a multiple of 8?
False
Suppose q - 4*q = 5*m + 107, -3*q - 2*m = 95. Let o = -86 + 127. Let y = o + q. Does 12 divide y?
True
Let z(p) = -p**2. Let g be z(1). Let f be g + 1 + -2 + 48. Let m = f + -24. Is m a multiple of 11?
True
Suppose 0 = 3*l + 2*l - 15. Suppose -2*s + 24 = -20. Suppose l*b = 2*b + 4*r + s, 0 = 5*r + 5. Does 18 divide b?
True
Let q be (88/(-12))/((-2)/3). Suppose 2*p - 10 = 3*j + q, p - 28 = 5*j. Suppose 0 = -p*v - 2*y + 50, -2*v - 2*y + 17 = -15. Is 9 a factor of v?
True
Suppose -b + 12 = 3*u, 21 = 4*u + 4*b - 3. Suppose -w = 5*j - 26, u*w + 0*j - 129 = 2*j. Is w a multiple of 16?
False
Let u be 1/((-4)/(-12)) - -54. Suppose 13 = 2*f + z - 58, 4*f + 4*z = 148. Let o = u - f. Is o a multiple of 9?
False
Let o be 38/(-1)*18/(-12). Suppose -2*y - 87 = -m, -m - 4*y = -o - 24. Is 17 a factor of m?
True
Let m(w) = 5*w + 7. Suppose -5*d - 7 = -3*z - 0*z, -5*d = z - 9. Let p be d/((-1 - 1)/(-12)). Is m(p) a multiple of 18?
False
Let d = -5 - -2. Is 49/2 - d/(-2) a multiple of 9?
False
Let n be (-118)/(-4) + (-1)/2. Let h(c) = 8*c + 3. Let d be h
|
{
"pile_set_name": "DM Mathematics"
}
|
*w - 46. Let x be f(-8). Suppose j + 41 + 25 = 0. Is 4/(-22) - x/j prime?
True
Let n = -18 - -53. Suppose -4*c + 1 = -3*a - 6, -5*a - 5*c = -n. Suppose -5*p = 5, a*p + 308 = 5*d + 75. Is d composite?
True
Suppose -3*o + 28 - 31 = 0. Is (9515/44)/((-2)/8)*o prime?
False
Suppose -576*p + 573*p + 52149 = 0. Is p a composite number?
False
Is -3 + (-183)/(-1)*120/9 composite?
False
Let z = -18 - -19. Suppose -2 = 3*b + z, -3*b + 4472 = 5*m. Is m a prime number?
False
Is 4*(243159/(-28))/(-3) a prime number?
True
Let f be (3789/18)/((-2)/(-4)). Suppose f = 5*v - 3*y, 4*y - 75 = -0*v - v. Is v composite?
False
Suppose 35*m - 34*m + 5*x - 13593 = 0, m - 13629 = 4*x. Is m composite?
False
Let q = 4094 + -2437. Is q prime?
True
Let y(z) = -67*z + 10. Suppose 5*a - 12 = 9*a. Is y(a) a prime number?
True
Let s be ((-1)/3)/(10/120). Let a = -2 - s. Suppose 2*i - 38 = 3*w, a*i - 4*w + 95 = 7*i. Is i a prime number?
True
Let k be 2/(4/(-6)) - 4888/(-4). Let r = k + -68. Is r a composite number?
False
Let a(i) = -i**2 + 3*i - 14. Let b be a(-11). Let s = b + 571. Is s composite?
True
Let u(i) be the first derivative of -8*i**3/3 + i**2 + 3. Let f be u(-3). Let b = -56 - f. Is b prime?
False
Suppose -c - 2*z = -5*z + 2386, -2*c - 3*z - 4790 = 0. Is (-6 - -5)*(c + -1) composite?
False
Let q be (0/(-3) - -4)/(-2). Is q/(-2 + 1) - -31 prime?
False
Let k(i) = i**3 + 17*i**2 + 14*i - 9. Is k(-13) a composite number?
True
Let l(b) = -136*b**3 - 1. Let o be l(-4). Suppose m + o = 10*m. Is m a prime number?
True
Suppose -204044 = 10*s - 650374. Is s a composite number?
False
Suppose -i + 3*i = 2232. Let d = i - 529. Is d a prime number?
True
Suppose -3*o - 4*w = 62, -2*w = 8*o - 4*o + 86. Let r = o + 44. Suppose -4*t + 6 = -r. Is t prime?
True
Let r = 10 + -3. Suppose -r*v + 3*v = -1484. Is v a composite number?
True
Let u(h) = 9*h**2 + 12*h. Let z(g) = g**2 + 1. Let j(p) = u(p) - 5*z(p). Let i be j(9). Let m = i - 300. Is m a composite number?
False
Let q(w) = -38*w**3 + 15*w**2 + w - 15. Is q(-11) prime?
False
Suppose 24*w = 4*w + 139460. Is w prime?
False
Let i(y) = -164*y + 3. Let o be i(6). Let n = o - -3268. Is n prime?
True
Suppose u + 7 = 2*u. Suppose 11*h = u*h. Suppose -b - 1905 = -5*s, 4*s - 3*s + b - 381 = h. Is s composite?
True
Let k(f) = -36*f**3 + 7*f**2 - 6*f. Let v(a) = 34*a**3 - 8*a**2 + 7*a + 1. Let g(r) = -4*k(r) - 3*v(r). Is g(4) composite?
False
Let g = -3173 - -5350. Is g a prime number?
False
Let a be 0*((-39)/(-12) - 3). Is (2606 - (4 - 0)) + (a - -3) composite?
True
Is 225 + (2 - 2*(7 + -4)) a prime number?
False
Suppose 0 = -h - h + 3*p + 7350, -h + 2*p = -3677. Is h a prime number?
False
Let l be (4 - 2) + 2 + -1. Suppose -2*d = -a, -2 = l*d - 8. Suppose -5*q + a*h = -2*q - 53, 0 = q + 5*h - 5. Is q a composite number?
True
Suppose -q = -5*w + 153784, -4*q = 3*w - 2*q - 92273. Is w composite?
False
Let w(i) = -19*i**3 - 5*i**2 - 23*i - 29. Is w(-8) prime?
False
Is (-78)/(-3)*2031/6 a prime number?
False
Let a be (90/(-12))/(1/(-2)). Let t = 20 - a. Is (-310)/(-4) - t/10 a prime number?
False
Let k = -1799 + 5392. Is k prime?
True
Suppose i + 4 = 4*x - 3*i, 0 = -x - 4*i + 11. Suppose -k = -s - 177, -s + 8 = x*s. Is k prime?
True
Let k be 20/(-2) + 16/8. Let u = k + 13. Is (u + 0)*(3 + 16) prime?
False
Let u = 2 + -4. Let w be 2/1 + (0 - u). Suppose w*n - 326 = -o - o, o = 3*n - 252. Is n composite?
False
Let o = -752 + 1952. Let z be 436/2*10/(-4). Let p = o + z. Is p a composite number?
True
Suppose -5*d - 2 = -7*d. Is 2/(2*d/79) composite?
False
Suppose -549905 - 569892 = -49*q. Is q a composite number?
False
Let c be 3 + 205/30 + (-1)/(-6). Is c/45 + (-47001)/(-27) composite?
False
Let b(f) = f - 1. Let q be b(1). Suppose 3*r - 3*k - 15 = 0, 2 = -q*r - 2*r - 4*k. Suppose -r*o = 2*o - 645. Is o a composite number?
True
Let k(y) = y**3 + 6*y**2 + 7*y + 1. Let x be k(-4). Suppose -x*f + 10*f - 525 = 5*m, 5*f - 537 = 2*m. Is f prime?
True
Let a(u) = 631*u**2 - u + 1. Let c(y) = 631*y**2 - y + 1. Let l(f) = 4*a(f) - 3*c(f). Is l(1) prime?
True
Is ((-6)/4)/((-169665)/42414 - -4) a prime number?
True
Let w(d) = -305*d + 54. Is w(-23) a composite number?
False
Let r be ((-12)/(-54))/((-4)/(-36)). Let d = 3 - -1. Suppose 20 = -d*o, r*p = 3*o + 127 - 6. Is p a composite number?
False
Is 2*(-11 + (-13923)/(-2)) a composite number?
False
Suppose -11*r = -7*r + 12. Let c be r - (4 - -2)*-2. Is 2/c + 13279/63 composite?
False
Let t(i) = 13*i**2 + 7*i + 11. Let r be t(-5). Suppose 4*v - r = 295. Is v a composite number?
False
Suppose 51 = -5*p - 14. Let u = -3 - p. Is (5/u)/((-1)/(-278)) a prime number?
True
Let p(m) = -m**3 + 3*m + 3949. Is p(0) prime?
False
Let d(l) = -3*l + 9. Let q be d(2). Let a = 1379 + -397. Is (15/(-6) + q)*a a prime number?
True
Let j(d) = 3457*d + 14. Let u be j(5). Suppose 2*a - 8639 = -5*n, -4*a + u = -0*n + 3*n. Is a a prime number?
True
Let y(a) = 6*a - 10. Let i be y(4). Let l be (-3)/(12/790)*i. Is l/(-15) - 4/(-6) composite?
True
Let z be (-672)/(-5) - (28/20 + -2). Suppose d + 3*d - z = -5*h, 0 = 2*h + 2. Is d prime?
False
Let w(p) = p**3 - 12*p**2 + 6*p + 8. Let g be w(11). Let h = 144 - g. Is h composite?
False
Let u(r) = -117*r - 13. Let y be u(-8). Let d = y + 150. Is d a composite number?
True
Let k(u) = 585*u + 37. Is k(5) prime?
False
Let w = 6 + 0. Suppose -w*g + 2*g + 88 = 0. Is 4/g + (-8185)/(-55) a composite number?
False
Suppose 4*k - 39427 = -3*t, 5*k + 35 - 10 = 0. Suppose -u - 4*u - 2*x = -t, 3*x - 10522 = -4*u. Is u a prime number?
False
Suppose -136*l - 3*w - 287400 = -139*l, 3*w = -9. Is l composite?
True
Let x be (124 - 4)*(2 - (-2)/(-5)). Suppose 0 = -q - 2*u + 9, 5*u = q - 0*u - 16. Let t = q + x. Is t a prime number?
False
Suppose 0*t = t, 5*t + 25 = 5*q. Let s(n) = 42*n + 1. Is s(q) a composite number?
False
Let m be (-258)/(-9) + 3/9. Let r = 110 + m. Suppose b + r = 2*j, -5*j + 3*b + 350 = -0*b. Is j a composite number?
False
Let z(q) = 61*q - 4. Let c be (-13 + 3)*(-2)/4. Let l be z(c). Suppose x + 4*m = 70, -4*x + 3*m = -2*m - l. Is x composite?
True
Suppose 3*u - 4*u - 6 = 0. Is 0 + 633 + u + 5 + -1 composite?
False
Let j(i) be the first derivative of -i**4/4 + 10*i**3/3 + 11*i**2/2 + 8*i - 8. Let d be j(11). Is (2/6)/(d/2088) composite?
True
Suppose 2*r - r + 218 = -4*d, 0 = 4*r + 8. Let i(p) = 4*p**2 + 4*p - 3. Let w be i(-5). Let o = w + d. Is o composite?
False
Let s = 23 + -21. Let c be (-2 + (s - 0))/(-2). Let w(i) = i + 633. Is w(c) a prime number?
False
Is 24/28 + (-285971)/(-49) composite?
True
Let f(i) = 5*i + 27. Let x be f(-6). Let r(j) = -9*j**3 - 3*j**2 - j - 4. Is r(x) a composite number?
True
Suppose z - 90129 = 5*s, z - 3*s - 90141 = -s. Is z a prime number?
True
Let y be (-165)/(-11) - (7 - 2). Suppose y*n - 20820 = 9830. Is n a prime number?
False
Let z = 556 + 3141. Is z a composite number?
False
Let l be (-3)/(-3*3/6). Is (l/(-6))/(23/(-6141)) a prime number?
True
Let p be 28/(-126) - 1150/9. Let g = p + 717. Is g a prime number?
False
Suppose 0 = 238*r - 223*r - 149745. Is r a composite number?
True
Is (5159 + -1)*9/234*13 composite?
False
Let z = 160 + 2. Let l = z - 79. Is l composite?
False
Let i = -1758 - -695. Let u(l) = -l**3 + 3*l**2 + 20*l - 76. Let h be u(13). Let q = i - h. Is q a composite number?
False
Let k be -1*(-3)/(-2)*-298. Suppose -k - 79 = -2*m. Is m composite?
False
Let w = 30787 - 20240. Is w a composite number?
True
Suppose 2*y - 5*v - 9880 = 0, -y + 4940 = -7*v + 4*v. Suppose 0 = 3*r - 2 - 13, u - 3*r = y. Is u composite?
True
Let l be (0 - 2)*(-1)/(1 - -1). Is (8804/2 - -4)/(l*2) composite?
False
Let b(l) = -l**3 - 6*l**2 - 14*l - 15. Let i be b(-10). Suppose -3*x - 36 + i = 0. Is x prime?
True
Suppose 871 = 3*i + x, 2*i + x - 570 = 3*x. Is i composite?
True
Let p(g) = -1 - 4*g + 24*g**2 + 27*g**2 + 0*g. Is p(4) prime?
False
Let h(z) = -303*z + 23. Is h(-16) prime?
True
Let k(n) = 678*n**2 - 2*n - 3. Is k(-1) composite?
False
Let g(b) = 3*b**2 + 1. Let s be g(-1). Suppose 0*c = -s*c + 4. Is 6*c*232/16 a prime number?
False
Suppose 5*k = 2*k + 4*d + 578, 0 = -k + d + 191. Suppose 0 = 8*q - 542 - k. Is q a prime number?
False
Suppose 0 + 4 = 4*d + 2*p, 3*d + 5*p - 3 = 0. Suppose 3*r - 110 = d. Is r composite?
False
Suppose -4*b - 58*w + 5292
|
{
"pile_set_name": "DM Mathematics"
}
|
t v(z) = z**2 + 3*z - 7. Let s be v(k). Solve o - 2 = -3*g, 4*o = 2*g - s*g - 14 for g.
2
Suppose -3*i + 2*d = -16, 10 = -5*i - 16*d + 12*d. Solve 3*s - 3*u = 0, -5*s + 8 = 5*u - i for s.
1
Suppose 0 = 5*n - n - 12. Let v = -10 + 16. Suppose -15 = -v*p + p. Solve -n*l = -2*h + p*h - 14, 29 = -4*h + 5*l for h.
-1
Suppose -4*q = -2*q. Suppose -5*f - 16 = -q*f + 4*c, -3*f = -2*c - 8. Suppose f = -3*j - 2*j + 20. Solve -4*i + i - 18 = -4*d, -5*i = j*d - 2 for d.
3
Suppose 3*a - 34 = 2*s, 4*s + 92 = 5*a + 32. Let t = a - 4. Solve -2*c = -t*z - z - 15, 3*z + 20 = -c for c.
-5
Suppose -4*h + 0*m + m + 139 = 0, -5*m - 155 = -5*h. Suppose z - h = -3*z. Solve 0 = o - 4*b + 7, 5*o - 4*b = 4 + z for o.
5
Let h = -44 - -55. Solve -2*s - j = -h, 0 = s + 3*s - 3*j + 3 for s.
3
Let h be (-1)/4 + 1/4. Let x = 10 + -7. Let d(a) = a**3 + 5*a**2 - 8*a - 8. Let q be d(-6). Solve h*m - m = -x*n + 7, -16 = 5*m + q*n for m.
-4
Let a be 1 + -2 - (-12)/8*2. Solve 2*l - 2 = -3*n, -a*n - 18 = -n - 4*l for n.
-2
Let j(p) = p**3 - 8*p**2 + 2*p + 4. Let o = 1 - -7. Let u be j(o). Suppose u = 2*z + 2*z. Solve 2*b + 22 = -z*m - 2*b, 2*m - 8 = 4*b for m.
-2
Suppose -s - 3 = 4*k, -4*s - 4*k + 63 = -3*k. Solve 2*b - s = -3*v + 3, -4 = -b for v.
4
Let v = 61 + -35. Suppose 3*b - 5*r = v, b = 5*r - 1 - 7. Solve -5*g = 3*f - 2*f + b, -2*g = 3*f + 12 for f.
-2
Let p be 0*(1 - 1 - -1). Solve 2*b - 4*n = 4*b - 4, p = 2*b - 5*n + 23 for b.
-4
Let k be (-4)/(-22) + (-101)/11. Let s = 9 + k. Let o be 5 - (s - 1 - -2). Solve -5*n + 2*c = 2, -o*n = -0*n + 2*c - 2 for n.
0
Suppose 10 = 5*j - 5*s + 10*s, -5*j + 4*s = -19. Solve -3 = 4*b + 3*g, 4*g = 2*b - j*b + 9 for b.
-3
Let t(o) = o**3 + 5*o**2 + o - 5. Let h be t(-3). Let v = -8 + h. Solve -v*q = 3*i - 5, 2*i - 9 + 1 = q for i.
3
Suppose 0 = 6*p - p + 30. Let v = p - -22. Solve 3*g - 1 + 8 = m, 4*g = -v for m.
-5
Suppose 0*k = -5*k + 10. Suppose 3*p + 36 = 3*w, 5*p + 2*w + k*w = -60. Let m = 3 - p. Solve l - a - a = -m, 2*l - 2*a = -20 for l.
-5
Let n = -5 + 7. Let f be (-48 - n)*1/(-1). Solve t + 35 = 4*t + 4*k, 5*t + 5*k = f for t.
5
Suppose -3*n + 2*n - 5*l = 1, 3*n - 4*l = -3. Let x be (-4)/n*(9 - 7). Solve -6*a + 2*w = -a - x, -a = 4*w + 16 for a.
0
Let z = 15 + -11. Suppose -u + 2*c = -c + 7, u + 2*c - 8 = 0. Solve w - 1 = -2*h, z*w + h + u + 1 = 0 for w.
-1
Suppose -d = -3*d + 22. Let i be (-93)/(-33) + 2/d. Solve -24 = 4*x - 2*u - 6, 0 = -i*x - 2*u - 17 for x.
-5
Let d = 0 + 7. Let u = 0 - -10. Solve -4*c + u = 4*g - 2*g, c = g + d for c.
4
Let h be 6*1*3/18. Solve 0 = 3*q - 5*b + 17, q - 3*b = -6*b - h for q.
-4
Let f = 19 + -45. Let x = -15 - f. Solve 2*p + 4 = -3*o, 3*p + 0*p = 4*o + x for o.
-2
Suppose -m + 6 = 4. Solve w - 1 = m*w - 5*x, 2*w + 5*x = 13 for w.
4
Suppose -3*y + 11 + 94 = 0. Let j = -29 + y. Solve 2*c = 2*w - j*w + 24, 0 = w - c for w.
4
Suppose i = -2*z - 2*i + 52, 0 = -4*i. Let h = z + -12. Suppose -5*s + 3*s + h = -2*a, -4*s = 3*a. Solve s*c = 2*l - 3*l - 1, 4*l = c + 9 for c.
-1
Suppose -4*y + 4 = 36. Let o = y + 10. Let w(g) = 2*g - 1. Let p be w(3). Solve -21 = 2*r - p*b, o*r - 2*b + 8 = r for r.
2
Let r be ((-15)/2)/(2/(-4)). Solve -d + y = d - 3, 5*y = -r for d.
0
Let c be 4 + (-1 - 4/4). Suppose 4*k - 45 = -o, k = 5*o + c + 4. Solve -4 = 3*z + 6*i - i, -k = 3*z - 2*i for z.
-3
Let p = -13 - -43. Let b be 19 - (1 - 3 - -3). Solve 5*t + 5*m - p = 0, m - b = -t - 3*m for t.
2
Suppose 3*p + 3*a = -a + 9, -3*a = 0. Let b = -11 - -16. Solve -2*y - p*y + 1 = -4*s, -b*y = -s + 11 for y.
-3
Suppose -1 = 2*d - 5. Solve -2*b + 8 = 2*q - q, d*q - 13 = -3*b for b.
3
Suppose 5 = -4*y + 13. Suppose -4 = -y*v + 2. Solve v*p + p = 2*a - 4, -5*a - 5*p = 5 for a.
0
Suppose 5*j - j - 112 = -2*b, 240 = 5*b + 2*j. Suppose 3*t - b + 131 = 4*s, -28 = -s + 3*t. Solve -4*n - 1 = s, -n = -5*m for m.
-1
Suppose 2*k = 4*k. Suppose k = 2*z - 5*z + 12. Solve z*p = 11 - 3, -2*i + p + 8 = 0 for i.
5
Let g(m) be the first derivative of -m**2/2 + 5*m - 4. Let q be g(0). Solve -j = 5*w + 5, -w - 7 = q*j - 30 for w.
-2
Let j(z) = z**3 - 2*z**2 - 3*z. Let i be j(3). Solve -16 = 4*k, 3*k = -2*f - i*k - 8 for f.
2
Let w = -1 - -3. Solve -7 = -0*n - w*n - j, 0 = 4*n - 3*j - 19 for n.
4
Let v = -19 - -13. Let s = -2 - v. Suppose u - 24 = 3*j, -2*u + 2*j - 3*j + 20 = 0. Solve 0*l + 11 = -3*l - i, 4*i = s*l - u for l.
-2
Let n be 2/11 + 310/110. Suppose 2*m = -4*u + 20, -5*m + 3*u - 37 = -139. Solve 4*q - 2*q - n = 5*l, 0 = 4*q + 2*l - m for q.
4
Suppose -5*x + 3*x - 17 = -y, -4*x = -3*y + 53. Solve -4*v + 2*j = 12, -5*v - 6 = -5*j + y for v.
-1
Let q(h) = -h**3 - 7*h**2 - 9*h - 3. Let f be q(-6). Let l(r) = r**2 - 7*r + 4. Let n be l(7). Solve -5*b + f = 5*d, b - 2 = n*d - 4 for d.
1
Let v(k) be the third derivative of k**4/24 + 8*k**3/3 + 3*k**2. Let p be v(-14). Solve -d - 4 = 0, 0 = -3*a + 3*d + 1 + p for a.
-3
Let h(w) = -w**3 - 2*w**2 + 4*w - 2. Let q be h(-4). Suppose -4*c - d + q = 0, 2*d = -2*c + 5*d. Solve 4*o + 2*s = -2, 5 = 2*o - 0*o + c*s for o.
-2
Suppose -4*c - 3 = -c. Let q be ((-1 - -3) + c)*2. Suppose 0*d - q*d - h = -5, -1 = -2*d + 3*h. Solve d*o + 7 = 3*g, 4*g - 2*o - 17 = -g for g.
5
Let m(x) = 9*x**2 - 3*x - 1. Let y be m(-2). Suppose 0 = 5*v - q + 3*q - y, 3*q + 42 = 4*v. Solve 2*p - v = -d, 0 = -5*d - 0*d - p + 27 for d.
5
Let j be (-1 + (-12)/(-20))*-10. Solve 4*f + 12 = -4*t, t + 2*t = -j*f - 7 for f.
2
Let m be 2 - (4/2 - 2). Suppose m*g = -2*b + 2, -3*b + b + g + 11 = 0. Solve -b = -3*h - 3*f + 2, 0 = -2*f + 2 for h.
1
Let l = -40 - -40. Solve 2*r = -3*c + 5*r - 30, l = 4*c - 3*r + 35 for c.
-5
Suppose -c = 4*i - 0*i - 1, -5*c + 22 = 3*i. Let f be 6 + (-2)/((-1)/i). Solve -3*d + 5*d + f*l = -26, 4*d + 40 = -5*l for d.
-5
Let y(o) = 6 + o**2 - 5*o - 2*o**2 + 2*o**2. Let g be y(4). Solve 2*d = d + 2, 10 = 2*b + g*d for b.
3
Let z be 9 + (0 - -1)/(-1). Let w = -5 + z. Solve -4*g - 24 = 2*y, 3*y + 8 = -2*g + w*g for y.
-4
Suppose t = -3*s + 14 + 3, -7 = t - 3*s. Suppose 0*d + 2 = -2*d + 2*w, t = -3*d + 5*w. Solve -5*z = -3*y - 11, d*z - 2*z = -3*y + 1 for z.
4
Let p(q) = 9*q**2 + 46*q + 9. Let x be p(-5). Solve 3*f - 5*s = -12 + 42, 0 = 2*f + x*s + 2 for f.
5
Let r be 16/40 - 36/(-10). Solve c - 11 = -3*u, -u + 2*u + r*c + 11 = 0 for u.
5
Let u = -5 - -8. Let q be (-6)/15*(-4 - -9). Let p be ((-200)/(-30))/(q/(-3)). Solve -5*h = 5*a - p, 6 = 4*a - 7*a + u*h for a.
0
Suppose 2*n - 5*n = -18. Let p be 3 + (-3)/12*0. Let c be (n/(-9))/((-1)/p). Solve 3*i = -j + 7, -2*j - c = 2*i - 0*j for i.
4
Let f(n) = n**2 + 12*n - 11. Let c be f(-13). Solve -5*g + 20 = -4*m, 3*g + 2*m = c*g + 4 for g.
4
Suppose 2*j = -2*j + 4*l - 4, 3*j + 3*l = 27. Let y = j + 1. Solve 15 = -3*t, -c + 4*t + 36 = -y*c for c.
-4
Suppose -51*t + 47*t + 88 = 0. Solve 16 = -4*z, 0 = 2*n + n - 4*z - t for n.
2
Suppose 2*i - 19 = 5. Let t(h) = h**3 - 4*h**2 - 2*h. Let c be t(5). Suppose -c = -3*x + 30. Solve 0 = -4*u - 3*d + i, 6*u - u + 2*d = x for u.
3
Let h be (-2*12)/(-4) + 0. Solve 3*z - 3*s = -0*s + h, 5*s = -5*z - 40 for z.
-3
Suppose 5*u + 25 = 6*u. Suppose 7*a - 2*a - u = 0. Suppose -4*v = o - 53, -2*v - o + 10 = -19. Solve -2*k + 16 = 2*d - a*k, -4*k + v = 4*d for d.
5
Let r be 9/(-6)*(-24)/9. Let w be 30/r + (-3)/(-6). Let k be (w/6)/((-2)/(-6)). Solve -o = -5*g + g + 16, -k = -g - 2*o for g.
4
Let g be -2 + (-2 + 7 - 0). Suppose 0 = g*u - 5*u + 6. Let o = u - 1. Solve 4*n - 8*n + 22 = -2*s, 19 = -o*s + 3*n for s.
-5
Let z(w) = -2*w - 8. Let k be z(-6). Suppose i = 3*t + 4, 3*i + 0*t + 1 = -4*t. Suppose -2 - i = -s. Solve 3*a + q - 18 = 0, k*q = 3*q + s for a.
5
Suppose -12*h = -3*h - 27. Solve 4*t - h*a + 7*a = 0, -2 = 3*t + 4*a for t.
2
Let a(j) = -j**2 + 7*j - 2. Let z be a(8). Let k be 4*1 - (-26 - z). Solve 0*i = i + 3*d + k, -d + 10 = -3*i for i.
-5
Let v(z) = -4*z - 2. Let k be v(-2). Let j be ((-1)/3)/((-1)/k). Let h = 12 + -10. Solve -a = -4*x + 16, x + 13 = -h*a - j*a for x.
3
Let g be -7 - -7 - 0/(-1). Let x(n) = n + 5. Let v be x(g). Solve 3*b - 2*l + 3 = 0, 3*b - 2 = v*b + 3*l for b.
-1
Let q = -42 + 48. Solve -11 = -c + q*c - 2*j, -2*c = -2*j + 8 for c.
-1
Let x(c) = c. Let b be x(3). Let y be 15*((-8)/b - -3). Solve y*z - 11 = q, 4*q - 5 - 17 = -2*z for q.
4
Suppose 2 = 3*f - 1, -2*f = 4*n + 46. Let b = n + 17. Solve 3*g - b = u,
|
{
"pile_set_name": "DM Mathematics"
}
|
, 2/13, -2/7, -6, -2585
Put 0.3, -19, -56379 in decreasing order.
0.3, -19, -56379
Sort 3/8, -2/9, -0.175, -0.9.
-0.9, -2/9, -0.175, 3/8
Sort 2, 262, -7, 1, -4 in decreasing order.
262, 2, 1, -4, -7
Put 1, 39, 12, -1, 3 in descending order.
39, 12, 3, 1, -1
Sort 0.2, -0.2, -2, 2.4, -178.
-178, -2, -0.2, 0.2, 2.4
Put -204, -1, -2 in decreasing order.
-1, -2, -204
Sort 109, -0.896, 1/9 in ascending order.
-0.896, 1/9, 109
Sort -1, -2, 4, -4, 27 in descending order.
27, 4, -1, -2, -4
Put 0.4, 2/9, -1, 1, 2/803 in decreasing order.
1, 0.4, 2/9, 2/803, -1
Sort -631, -5, 134 in increasing order.
-631, -5, 134
Sort -1168, 76/9, -1.
-1168, -1, 76/9
Sort 12, 7, 1, -4, 17.
-4, 1, 7, 12, 17
Put 2/7, -0.09, -2/9, -0.2153 in decreasing order.
2/7, -0.09, -0.2153, -2/9
Sort -4, 263.022, -5 in increasing order.
-5, -4, 263.022
Sort 1, 0, 16, -4, -1 in ascending order.
-4, -1, 0, 1, 16
Sort 23, 1/5, 2/11, 1, 0 in decreasing order.
23, 1, 1/5, 2/11, 0
Sort -182, 0, -222, -3 in decreasing order.
0, -3, -182, -222
Put 3, 0, -11135, -6, -5 in decreasing order.
3, 0, -5, -6, -11135
Put -6, -2, -33, -1, 16 in decreasing order.
16, -1, -2, -6, -33
Sort 5, 6153, 1/6, 0.2, -4, 2.
-4, 1/6, 0.2, 2, 5, 6153
Sort -9, 3, -0.3, -0.042, -0.023, 1 in decreasing order.
3, 1, -0.023, -0.042, -0.3, -9
Sort -2776, 4, -2.
-2776, -2, 4
Sort -3, 3, 25, 5, 0, 10.
-3, 0, 3, 5, 10, 25
Sort 0, -1, -69, -5, -4, 5.
-69, -5, -4, -1, 0, 5
Sort -4/137, -102, 2/11 in descending order.
2/11, -4/137, -102
Sort -134, -1, -10, -76.
-134, -76, -10, -1
Sort 7, 104, 4 in decreasing order.
104, 7, 4
Sort -1.1, -2, -1549, 0.02.
-1549, -2, -1.1, 0.02
Sort -3, -2, -218, -4, -15 in decreasing order.
-2, -3, -4, -15, -218
Put 13, 1, 0.076, -10 in ascending order.
-10, 0.076, 1, 13
Put 5, 2, -21, -2181, 0 in decreasing order.
5, 2, 0, -21, -2181
Sort -3/4, 0.2, -1857/10, -1/5.
-1857/10, -3/4, -1/5, 0.2
Put -1, 711, -4, 1 in decreasing order.
711, 1, -1, -4
Put 0.3, 8/3, 4/5, 3602 in decreasing order.
3602, 8/3, 4/5, 0.3
Sort 5, 2, -3, 1, 536, 4 in decreasing order.
536, 5, 4, 2, 1, -3
Put -882, -4, 0 in decreasing order.
0, -4, -882
Sort -5, 4, 15, -12 in descending order.
15, 4, -5, -12
Sort 2, -4, -5, 144, 4.
-5, -4, 2, 4, 144
Sort -3/8, -1/5, -5, -1, -72 in increasing order.
-72, -5, -1, -3/8, -1/5
Sort 3, -0.1, 0, 4.45, 249 in decreasing order.
249, 4.45, 3, 0, -0.1
Put 2/307, -3, -4/7 in decreasing order.
2/307, -4/7, -3
Sort 3/19, -3, -17.3, -3/5 in decreasing order.
3/19, -3/5, -3, -17.3
Put 2, 1, -1, 115, -18 in descending order.
115, 2, 1, -1, -18
Put 8, 6, -12, -5, -3 in descending order.
8, 6, -3, -5, -12
Put -85, -2811, -3 in increasing order.
-2811, -85, -3
Sort 0.3, -1/4, -278211.
-278211, -1/4, 0.3
Sort 1, -3, 2, -395 in ascending order.
-395, -3, 1, 2
Put -5, -4, 0, 1, 17, 9 in increasing order.
-5, -4, 0, 1, 9, 17
Sort 5, 7/10, 1, -640 in ascending order.
-640, 7/10, 1, 5
Put -42, 1, 5, -96, -2 in decreasing order.
5, 1, -2, -42, -96
Sort 5, -2, -19, 0, 212, -5.
-19, -5, -2, 0, 5, 212
Put -28, -5, -1286 in ascending order.
-1286, -28, -5
Sort -471, -6, 2, 3, 5 in increasing order.
-471, -6, 2, 3, 5
Put 20, 1, -1, -4, 0, -154 in descending order.
20, 1, 0, -1, -4, -154
Sort 2, 27, -146, -3, -4.
-146, -4, -3, 2, 27
Sort 0, -1.8, 5, 3/8, -0.24 in increasing order.
-1.8, -0.24, 0, 3/8, 5
Put 48, -258, 3 in decreasing order.
48, 3, -258
Sort -2/9, -1/9, -0.3, 2.4, -5 in ascending order.
-5, -0.3, -2/9, -1/9, 2.4
Sort -5, 4, 1, 65, 16, -8.
-8, -5, 1, 4, 16, 65
Put -1, -1.6, 12, 2/19 in decreasing order.
12, 2/19, -1, -1.6
Put -1, 0, -3, -13, -46, -2 in descending order.
0, -1, -2, -3, -13, -46
Sort 5, 703, 41 in descending order.
703, 41, 5
Put -3/10, -4, -2/111, 2, -3 in descending order.
2, -2/111, -3/10, -3, -4
Sort -8, -1, -26, -7, -10 in increasing order.
-26, -10, -8, -7, -1
Put -4/3, 2, 33, -1, 0.1 in descending order.
33, 2, 0.1, -1, -4/3
Put 0.5, 1, 0.22, -2.9, -2/9, -4 in decreasing order.
1, 0.5, 0.22, -2/9, -2.9, -4
Put -3/71, 3/4, -8, 1.2 in increasing order.
-8, -3/71, 3/4, 1.2
Sort 1.2, -2/19, 6, -1/3, -1/5.
-1/3, -1/5, -2/19, 1.2, 6
Sort -5, 4, 8, -4, 41 in decreasing order.
41, 8, 4, -4, -5
Sort -0.1, 0, 3/4, -4, 109, -2 in descending order.
109, 3/4, 0, -0.1, -2, -4
Sort 0.04, -4, 2/17, -2, 380, 2/7 in ascending order.
-4, -2, 0.04, 2/17, 2/7, 380
Put -4, -375, -14 in ascending order.
-375, -14, -4
Put -1, 0.5, -2, 1, 1.5, 166 in increasing order.
-2, -1, 0.5, 1, 1.5, 166
Put 3, 14, -15, 1, -13, 9 in increasing order.
-15, -13, 1, 3, 9, 14
Sort -4, -16, -3, -2334.
-2334, -16, -4, -3
Sort 0.3, -3, 5, -10/17, -160, 0.2 in descending order.
5, 0.3, 0.2, -10/17, -3, -160
Sort -2, 1/6, 7, 0.04, -1, -1/18.
-2, -1, -1/18, 0.04, 1/6, 7
Sort 2/7, -4/9, -2859 in descending order.
2/7, -4/9, -2859
Sort 1/2, -163, -0.5, -8, 0.07, 1/4 in decreasing order.
1/2, 1/4, 0.07, -0.5, -8, -163
Sort -3, 835, 1 in ascending order.
-3, 1, 835
Sort 0, -4, 2, 4, 17, 52.
-4, 0, 2, 4, 17, 52
Sort 199, -1/2, -191 in decreasing order.
199, -1/2, -191
Sort -705, 305, -2/9, -0.5, -1/4 in ascending order.
-705, -0.5, -1/4, -2/9, 305
Sort -608, 3, 0.6, 4, 14 in descending order.
14, 4, 3, 0.6, -608
Put -2/3213, -0.1, 1/4, -2, 6 in descending order.
6, 1/4, -2/3213, -0.1, -2
Sort 3, 1, 2, -11, -90, 0 in decreasing order.
3, 2, 1, 0, -11, -90
Put 4, 6, 5, 63, -3 in descending order.
63, 6, 5, 4, -3
Sort -173, 3, 1, -7 in decreasing order.
3, 1, -7, -173
Sort -6, 2, -4, -0.1, -5 in decreasing order.
2, -0.1, -4, -5, -6
Put 1, 9857, 5, -4 in increasing order.
-4, 1, 5, 9857
Sort -2, -3, -19, 2, -348.
-348, -19, -3, -2, 2
Sort 172/5, -5, 1044, 0.2 in decreasing order.
1044, 172/5, 0.2, -5
Sort -261, 2/11, 19, 0, 2 in increasing order.
-261, 0, 2/11, 2, 19
Put 320, -35, 13, 5 in decreasing order.
320, 13, 5, -35
Put -0.0491, -2/7, -0.1, 5 in ascending order.
-2/7, -0.1, -0.0491, 5
Put 2/7, 5, -0.5, -0.02421 in decreasing order.
5, 2/7, -0.02421, -0.5
Sort -5, 19, -3, -53, -7 in decreasing order.
19, -3, -5, -7, -53
Put 156, 1/32, -0.3, -1/2, -5/7, 0 in descending order.
156, 1/32, 0, -0.3, -1/2, -5/7
Sort 224, -4, 1, 2 in descending order.
224, 2, 1, -4
Put 2/9, 3135, 1.1, 5, 0.4 in descending order.
3135, 5, 1.1, 0.4, 2/9
Sort -5, 10552, -1, -4, 0 in decreasing order.
10552, 0, -1, -4, -5
Put -5, 113, -0.1, -4, 2.3, -3 in descending order.
113, 2.3, -0.1, -3, -4, -5
Sort 1432, -11, 1 in ascending order.
-11, 1, 1432
Sort 0, 5, -3819, -3, 4 in decreasing order.
5, 4, 0, -3, -3819
Sort 47, -2, 555 in descending order.
555, 47, -2
Sort 38, 2548, -0.2.
-0.2, 38, 2548
Put -2, -2/105, 3, -25, 0 in ascending order.
-25, -2, -2/105, 0, 3
Sort 29, -47, -83 in ascending order.
-83, -47, 29
Sort -5645, -5, -4 in descending order.
-4, -5, -5645
Put -0.5, 20810, -15 in increasing order.
-15, -0.5, 20810
Sort -5, 456, 3, -9.
-9, -5, 3, 456
Sort -107.86, -33, -1/4 in ascending order.
-107.86, -33, -1/4
Sort -2, 2, -21, -338, -9.
-338, -21, -9, -2, 2
Sort -461, 2, 4, 0, -4, -1 in descending order.
4, 2, 0, -1, -4, -461
Put 4, 8, -4, -2, -149 in increasing order.
-149, -4, -2, 4, 8
Sort -5/11, -452, -5, 2/13 in decreasing order.
2/13, -5/11, -5, -452
Put -3, -6, -1, -646, -4, -8 in ascending order.
-646, -8, -6, -4, -3, -1
Put 1290, 8/5, -0.3 in descending order.
1290, 8/5, -0.3
Put 1, 355, -3, 4, 11, 5 in descending order.
355, 11, 5, 4, 1, -3
Sort -0.01, 4, 2, 298 in ascending order.
-0.01, 2, 4, 298
Sort -2/7, 2, -1, -4232.
-4232, -1, -2/7, 2
Sort 1, 2, -561, 3, -50 in descending order.
3, 2, 1, -50, -561
Sort 20, -7, -5, 7, 2.
-7, -5, 2, 7, 20
Sort -6.49, 2, -1/2 in descending order.
2, -1/2, -6.49
Put 15, 1/4, 355, 2/5 in ascending order.
1/4, 2/5, 15, 355
Sort 30, -4, -4/7, 23 in decreasing order.
30, 23, -4/7, -4
Sort 0.02, 342, 4.
0.02, 4, 342
Put 2, 442180, -4/5, -4/7 in decreasing order.
442180, 2, -4/7, -4/5
Sort 780, -3, -6, -12, 5.
-12, -6, -3, 5, 780
Sort 70, -6, -4, 4, -3 in increasing order.
-6, -4, -3, 4, 70
Sort -4, -24766, 3 in descending order.
3, -4, -24766
Sort 1/5, -4, -6/11993, 3 in decreasing order.
3, 1/5, -6/11993, -4
Put 0, 2/21, 3/4, -2.83, 3/2, 2 in increasing order.
-2.83, 0, 2/21, 3/4, 3/2, 2
Sort -3316, 17, -3 in decreasing order.
17, -3, -3316
Put 3, -2, 11, 2, 24 in descending order.
24, 11, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
1382706
Calculate the lowest common multiple of 34625 and 3.
103875
Calculate the common denominator of -101/12762 and -49/85080.
255240
Calculate the least common multiple of 881142 and 8.
3524568
What is the smallest common multiple of 33975 and 37?
1257075
What is the smallest common multiple of 2057 and 8789?
96679
Calculate the common denominator of -23/3380 and 37/19630.
510380
Calculate the lowest common multiple of 490 and 1680.
11760
What is the least common multiple of 502262 and 72909?
4520358
Find the common denominator of 47/42 and 41/140742.
140742
Calculate the common denominator of -91/2760 and -115/5208.
598920
Calculate the lowest common multiple of 23319486 and 8.
93277944
Calculate the smallest common multiple of 357462 and 6.
357462
What is the smallest common multiple of 404 and 12650?
2555300
What is the smallest common multiple of 4 and 547258?
1094516
What is the common denominator of -97/2478 and -209/12390?
12390
What is the common denominator of 49/1347 and 133/8082?
8082
Calculate the least common multiple of 348 and 83346.
166692
What is the least common multiple of 84030 and 92433?
924330
Calculate the common denominator of 93/728 and 73/3606.
1312584
What is the common denominator of -40/96533 and -1/11?
1061863
Find the common denominator of 121/17856 and -37/1488.
17856
What is the least common multiple of 16846 and 72?
606456
What is the common denominator of -71/27 and -40/67419?
67419
Calculate the lowest common multiple of 48 and 32832.
32832
Find the common denominator of 1/7 and 25/15898.
111286
What is the least common multiple of 2775 and 2900?
321900
Calculate the common denominator of 59/78 and -97/146055.
292110
What is the common denominator of 8/175 and -53/358265?
12539275
What is the least common multiple of 1610 and 7?
1610
What is the common denominator of 17/6862 and 29/2162?
157826
What is the common denominator of 101/60 and -77/19900?
59700
What is the common denominator of -39/235 and -14/11735?
551545
What is the common denominator of 73/196 and 35/26088?
1278312
Calculate the common denominator of 53/99153 and 21/187289.
1685601
Calculate the least common multiple of 388245 and 209055.
2717715
What is the lowest common multiple of 15 and 289929?
1449645
Calculate the common denominator of 91/32 and 105/151432.
605728
Find the common denominator of 87/29600 and 3/1430.
4232800
What is the lowest common multiple of 23094 and 24?
92376
What is the common denominator of 119/1584 and 49/636?
83952
Calculate the least common multiple of 28 and 928354.
1856708
What is the smallest common multiple of 4935 and 49?
34545
Calculate the common denominator of 73/270 and -23/13743.
137430
What is the common denominator of -41/440904 and -13/18371?
440904
Calculate the common denominator of 97/164 and 11/1222.
100204
Calculate the common denominator of 9/8560 and -37/624.
333840
What is the least common multiple of 330 and 7290?
80190
What is the common denominator of -14/101 and 1/1737?
175437
What is the least common multiple of 24304 and 624960?
4374720
Calculate the common denominator of -8/99 and -22/50277.
1659141
What is the common denominator of 67/18 and 7/368460?
368460
Find the common denominator of -21/440 and 61/7084.
70840
What is the lowest common multiple of 56064 and 28032?
56064
Calculate the lowest common multiple of 5060 and 8.
10120
Calculate the common denominator of 14/89445 and 127/2670.
178890
What is the lowest common multiple of 42220 and 75996?
379980
Calculate the smallest common multiple of 330 and 18260.
54780
What is the common denominator of -53/62040 and 35/517?
62040
What is the least common multiple of 4331 and 923?
56303
Calculate the least common multiple of 6024 and 3012.
6024
What is the common denominator of 14/4653 and -49/33605?
302445
Calculate the common denominator of -139/1920 and -107/1408.
21120
Calculate the least common multiple of 34 and 266.
4522
What is the common denominator of 57/34484 and 111/20?
172420
Calculate the smallest common multiple of 18759 and 37.
18759
Find the common denominator of 1/7 and -16/150153.
1051071
What is the common denominator of -105/44 and 103/2640?
2640
Calculate the lowest common multiple of 30 and 180715.
1084290
What is the common denominator of -29/15 and -61/36410?
109230
Find the common denominator of 23/1180 and 89/7434.
74340
What is the least common multiple of 45 and 120995?
1088955
What is the common denominator of -19/550 and -139/1650?
1650
What is the lowest common multiple of 445908 and 557385?
2229540
What is the common denominator of 23/1940 and 29/55?
21340
Calculate the smallest common multiple of 13066 and 168.
1097544
What is the least common multiple of 13352 and 50?
333800
What is the least common multiple of 4221 and 2982?
599382
What is the smallest common multiple of 27 and 456765?
4110885
What is the common denominator of -83/6462 and 103/89750?
807750
What is the common denominator of 73/13834 and 95/8?
55336
Find the common denominator of -47/66484 and 43/18.
598356
Find the common denominator of -65/1242 and -103/19872.
19872
Find the common denominator of 22/1875 and -25/136.
255000
Find the common denominator of 143/303282 and 95/522.
303282
Calculate the smallest common multiple of 458124 and 18.
1374372
Calculate the lowest common multiple of 13950 and 1860.
27900
What is the smallest common multiple of 90558 and 286?
996138
What is the lowest common multiple of 49322 and 2?
49322
Find the common denominator of -103/4380 and -67/304.
332880
What is the least common multiple of 22855 and 21?
68565
Calculate the least common multiple of 325556 and 1812.
976668
Calculate the common denominator of -47/61 and -35/488.
488
Find the common denominator of -97/5684 and 89/1960.
56840
What is the least common multiple of 9217 and 7090?
92170
Calculate the lowest common multiple of 3670 and 212.
389020
Calculate the least common multiple of 34884 and 5508.
104652
What is the common denominator of 83/18920 and -79/8600?
94600
What is the least common multiple of 72 and 153408?
460224
Calculate the least common multiple of 1020 and 23970.
47940
Calculate the least common multiple of 4530 and 10135.
9182310
Find the common denominator of -99/16 and 32/7.
112
Calculate the common denominator of 83/117488 and -103/234976.
234976
Find the common denominator of -50/339 and 59/282.
31866
What is the common denominator of 99/2500 and -123/1000?
5000
What is the smallest common multiple of 10629 and 762?
2699766
Calculate the lowest common multiple of 20456 and 51140.
102280
Calculate the common denominator of 33/6874 and 16/7.
6874
Calculate the common denominator of -29/231 and -73/386958.
2708706
What is the smallest common multiple of 50558 and 102?
151674
Find the common denominator of 89/31220 and -69/31220.
31220
Calculate the smallest common multiple of 655788 and 28.
655788
What is the lowest common multiple of 44 and 105504?
1160544
What is the common denominator of -53/25 and 81/23950?
23950
What is the common denominator of -67/19545 and 77/960?
1250880
What is the smallest common multiple of 1440 and 4780?
344160
Find the common denominator of -41/2508 and 7/309.
258324
What is the lowest common multiple of 111708 and 28890?
1675620
What is the smallest common multiple of 2 and 269?
538
What is the lowest common multiple of 191855 and 140?
5371940
What is the least common multiple of 318282 and 48?
2546256
Calculate the smallest common multiple of 19401 and 446.
38802
Find the common denominator of -47/459 and -121/70890.
638010
Calculate the smallest common multiple of 935 and 199172.
10954460
What is the least common multiple of 122094 and 476?
244188
What is the lowest common multiple of 79838 and 7258?
79838
What is the common denominator of -71/21340 and 23/290?
618860
What is the smallest common multiple of 2 and 3660?
3660
What is the common denominator of -7/19038 and -119/10?
95190
Calculate the common denominator of 56/723 and 51/1916.
1385268
Calculate the common denominator of -41/4812 and -27/8.
9624
Calculate the lowest common multiple of 43734 and 240537.
481074
What is the common denominator of -103/1080 and -67/9519?
3426840
What is the common denominator of -13/36 and
|
{
"pile_set_name": "DM Mathematics"
}
|
2824815?
8
What is the tens digit of 2338731097?
9
What is the ten thousands digit of 938248?
3
What is the hundred millions digit of 176031257?
1
What is the hundreds digit of 7105491556?
5
What is the millions digit of 2314773517?
4
What is the ten thousands digit of 422849326?
4
What is the hundreds digit of 398395057?
0
What is the millions digit of 5005715?
5
What is the hundred thousands digit of 169334387?
3
What is the millions digit of 44765197?
4
What is the ten thousands digit of 646503692?
0
What is the units digit of 2378057806?
6
What is the hundred thousands digit of 103831012?
8
What is the hundred thousands digit of 1661534503?
5
What is the ten millions digit of 92205398?
9
What is the ten thousands digit of 43288667?
8
What is the millions digit of 5072719433?
2
What is the hundreds digit of 1530672640?
6
What is the hundreds digit of 97216431?
4
What is the ten millions digit of 35664218?
3
What is the hundred thousands digit of 2890578633?
5
What is the ten millions digit of 2529691449?
2
What is the tens digit of 3776922053?
5
What is the tens digit of 1678727584?
8
What is the units digit of 138645009?
9
What is the units digit of 259698210?
0
What is the millions digit of 6834062?
6
What is the hundreds digit of 22462516?
5
What is the tens digit of 748728096?
9
What is the thousands digit of 77645048?
5
What is the thousands digit of 1152872502?
2
What is the units digit of 774537789?
9
What is the hundred thousands digit of 240407528?
4
What is the millions digit of 422040596?
2
What is the millions digit of 3011749807?
1
What is the hundred thousands digit of 6250694017?
6
What is the ten thousands digit of 27865157?
6
What is the billions digit of 1045395164?
1
What is the hundred thousands digit of 2229995386?
9
What is the hundred millions digit of 1047617673?
0
What is the ten millions digit of 3493420161?
9
What is the ten millions digit of 1113764002?
1
What is the ten millions digit of 30826104?
3
What is the hundred thousands digit of 16776214?
7
What is the hundred millions digit of 1503150557?
5
What is the ten thousands digit of 465139625?
3
What is the hundreds digit of 438699769?
7
What is the millions digit of 114974701?
4
What is the hundred thousands digit of 66757671?
7
What is the hundreds digit of 480111535?
5
What is the hundreds digit of 4894615127?
1
What is the units digit of 71117556?
6
What is the ten millions digit of 3729660547?
2
What is the ten millions digit of 107754686?
0
What is the hundred thousands digit of 8021981?
0
What is the units digit of 370614467?
7
What is the hundreds digit of 51185848?
8
What is the ten millions digit of 916791348?
1
What is the hundred thousands digit of 1739249309?
2
What is the millions digit of 490209200?
0
What is the units digit of 318244748?
8
What is the tens digit of 113158287?
8
What is the units digit of 1767801486?
6
What is the thousands digit of 77259217?
9
What is the hundred thousands digit of 165637903?
6
What is the thousands digit of 101889328?
9
What is the units digit of 897159?
9
What is the tens digit of 38967103?
0
What is the ten thousands digit of 1790668907?
6
What is the units digit of 76664093?
3
What is the tens digit of 391729797?
9
What is the ten millions digit of 97317557?
9
What is the millions digit of 166768749?
6
What is the thousands digit of 64262106?
2
What is the hundred millions digit of 1123981798?
1
What is the hundreds digit of 112848965?
9
What is the hundred thousands digit of 884980213?
9
What is the ten millions digit of 7194028571?
9
What is the millions digit of 53894636?
3
What is the tens digit of 1539785932?
3
What is the units digit of 697741467?
7
What is the ten thousands digit of 35605648?
0
What is the tens digit of 595406122?
2
What is the ten thousands digit of 3214815322?
1
What is the millions digit of 1409435470?
9
What is the units digit of 40217534?
4
What is the hundreds digit of 2031269353?
3
What is the ten thousands digit of 59666760?
6
What is the millions digit of 42977525?
2
What is the thousands digit of 29312116?
2
What is the hundred thousands digit of 17051524?
0
What is the ten millions digit of 17138896?
1
What is the ten thousands digit of 602274903?
7
What is the thousands digit of 167818834?
8
What is the billions digit of 4276694512?
4
What is the billions digit of 5528079667?
5
What is the hundreds digit of 577723685?
6
What is the hundreds digit of 91706638?
6
What is the ten millions digit of 54087700?
5
What is the ten thousands digit of 111293687?
9
What is the ten millions digit of 992647881?
9
What is the units digit of 103225936?
6
What is the ten thousands digit of 386126725?
2
What is the hundred thousands digit of 5330035182?
0
What is the units digit of 208764775?
5
What is the hundreds digit of 1451782393?
3
What is the hundred thousands digit of 680787951?
7
What is the billions digit of 1159080777?
1
What is the millions digit of 465570431?
5
What is the hundred thousands digit of 130948874?
9
What is the tens digit of 83682533?
3
What is the ten thousands digit of 641320764?
2
What is the thousands digit of 34545104?
5
What is the hundreds digit of 42198289?
2
What is the units digit of 1278205?
5
What is the thousands digit of 1679092303?
2
What is the hundred thousands digit of 1198579593?
5
What is the hundred millions digit of 306797602?
3
What is the thousands digit of 9508205?
8
What is the thousands digit of 23310210?
0
What is the hundred millions digit of 1330666398?
3
What is the ten thousands digit of 556212036?
1
What is the thousands digit of 480318911?
8
What is the tens digit of 2485944602?
0
What is the units digit of 22006042?
2
What is the millions digit of 35501985?
5
What is the millions digit of 282121561?
2
What is the hundred thousands digit of 105856938?
8
What is the tens digit of 45524590?
9
What is the millions digit of 3914626419?
4
What is the tens digit of 63445571?
7
What is the thousands digit of 432978290?
8
What is the tens digit of 79701112?
1
What is the hundred millions digit of 1650647716?
6
What is the ten thousands digit of 136713630?
1
What is the ten millions digit of 533738718?
3
What is the thousands digit of 380207206?
7
What is the hundred thousands digit of 845095?
8
What is the units digit of 46764394?
4
What is the thousands digit of 1659395938?
5
What is the hundreds digit of 44658706?
7
What is the units digit of 2276829286?
6
What is the tens digit of 702070818?
1
What is the ten millions digit of 55938888?
5
What is the hundreds digit of 87672551?
5
What is the millions digit of 177243750?
7
What is the hundred millions digit of 146147573?
1
What is the billions digit of 2598408627?
2
What is the ten thousands digit of 344016205?
1
What is the tens digit of 21757825?
2
What is the ten millions digit of 232652580?
3
What is the hundreds digit of 14663574?
5
What is the units digit of 45782830?
0
What is the ten millions digit of 2033454787?
3
What is the thousands digit of 41239053?
9
What is the hundred thousands digit of 200066013?
0
What is the units digit of 23725887?
7
What is the ten millions digit of 879877346?
7
What is the ten thousands digit of 12356673?
5
What is the ten millions digit of 2899105656?
9
What is the millions digit of 1730020844?
0
What is the ten thousands digit of 409223733?
2
What is the tens digit of 193307572?
7
What is the hundreds digit of 2239353?
3
What is the ten thousands digit of 82192900?
9
What is the units digit of 9835750?
0
What is the units digit of 8168652?
2
What is the ten millions digit of 183987841?
8
What is the millions digit of 719176032?
9
What is the millions digit of 205780943?
5
What is the hundred millions digit of 180167220?
1
What is the hundred millions digit of 496469406?
4
What is the thousands digit of 568269472?
9
What is the thousands digit of 2170520524?
0
What is the thousands digit of 119410015?
0
What is the hundred millions digit of 7403822927?
4
What is the ten thousands digit of 87958777?
5
What is the hundreds digit of 1648046300?
3
What is the billions digit of 1003027727?
1
What is the tens digit of 1733771070?
7
What is the hundred millions digit of 409540679?
4
What is the ten millions digit of 1702409049?
0
What is the thousa
|
{
"pile_set_name": "DM Mathematics"
}
|
9).
-2
Let x(g) = 7*g - 25. Determine x(-1).
-32
Let w(f) = 2*f**3 + 15*f**2 - 9*f - 4. Give w(-8).
4
Let x(r) = -r**3 + 10*r**2 + 15*r - 11. Determine x(11).
33
Let z(b) = 2*b + 9. Calculate z(0).
9
Let x(o) = -o**2 - 6*o - 3. Determine x(-6).
-3
Let l(a) = a**2 + 5*a + 2. Determine l(-9).
38
Let s(g) = -2*g**2 - 14*g - 4. What is s(-11)?
-92
Let q(k) = -4*k + 94. What is q(22)?
6
Let t(z) = -16*z + 130. Calculate t(7).
18
Let t(g) = 123*g. What is t(1)?
123
Let a(k) = k**3 - 9*k**2 + 7*k - 9. Determine a(8).
-17
Let s(u) = -2*u**2 + 3*u - 1. Determine s(2).
-3
Let k(o) = -2*o**3 + 23*o**2 - 8*o + 13. Give k(11).
46
Let d(c) = -3*c - 3. Give d(7).
-24
Let q(x) = -x - 4. Determine q(18).
-22
Let t(y) = y**3 - 2*y**2 - 5*y + 7. Calculate t(2).
-3
Let g(b) = -2*b + 10. Calculate g(-4).
18
Let m(u) = -u**2 + 30*u - 24. What is m(30)?
-24
Let z(a) = a - 5. Calculate z(7).
2
Let g(u) = -u**3 - 6*u**2 + 4*u + 4. What is g(-6)?
-20
Let w(a) = -143*a + 135. Give w(1).
-8
Let p(t) = -t**2 + 11*t - 10. Give p(9).
8
Let y(i) = -i**2 + 3*i + 25. Give y(6).
7
Let a(f) = -f**3 + 5*f**2 - 4*f + 3. Determine a(3).
9
Let p(f) = 61*f - 1. Determine p(-1).
-62
Let d(j) = -j**2 + 42*j - 9. Determine d(0).
-9
Let s(u) = u**3 - 11*u**2 - 12*u + 14. Calculate s(12).
14
Let c(f) = -2*f**3 + 78*f**2 + 2*f - 68. Give c(39).
10
Let v(g) = -3*g + 36. Determine v(12).
0
Let h(y) = 4*y**2 - 2*y - 3. What is h(-3)?
39
Let h(n) = -n**3 - 5*n**2 + 3*n + 6. Determine h(-4).
-22
Let l(u) = -u**2 - 14*u + 4. Give l(-8).
52
Let w(g) = -g**3 + 20*g**2 - g + 18. Give w(20).
-2
Let w(d) = 3*d**2 + 15*d - 8. What is w(-9)?
100
Let x(k) = 2*k + 11. Calculate x(-7).
-3
Let w(y) = 2*y**2 + 19*y. Calculate w(-9).
-9
Let g(i) = i**2 + 10*i + 8. What is g(-1)?
-1
Let p(o) = -o**3 + 7*o**2 - 7*o - 14. What is p(5)?
1
Let u(a) = a**2. Give u(3).
9
Let k(b) = 2*b**3 - 7*b**2 + 2*b + 12. Give k(5).
97
Let m(f) = 3*f. Determine m(-8).
-24
Let z(k) = k**3 + 9*k**2 - 9*k + 11. Calculate z(-10).
1
Let z(w) = 4*w - 40. Give z(9).
-4
Let t(k) = k**3 + 20*k**2 + 3*k + 56. Determine t(-20).
-4
Let t(s) = -s**2 - 22*s - 14. Determine t(-24).
-62
Let s(o) = -5*o + 6. Give s(-3).
21
Let g(s) = -4*s + 16. Give g(5).
-4
Let g(o) = -o**2 - 9*o - 5. Give g(-3).
13
Let s(t) = -22*t + 279. Calculate s(13).
-7
Let m(p) = -13*p - 65. What is m(-11)?
78
Let a(n) = n**2 + 5*n - 17. Give a(-10).
33
Let k(t) = -t**3 + 4*t**2 + 7*t + 8. Calculate k(6).
-22
Let n(j) = -j**3 + 8*j**2 + 8*j + 13. What is n(9)?
4
Let u(k) = 3*k - 57. Give u(18).
-3
Let z(l) = l**3 + 23*l**2 + 27*l + 78. Calculate z(-22).
-32
Let f(k) = 12*k**2 + 26*k + 3. What is f(-2)?
-1
Let w(y) = y**3 + 6*y**2 + 10*y + 17. Give w(-4).
9
Let o(x) = x**2 - 22*x + 61. Determine o(3).
4
Let m(x) = -21*x**2 + 126*x + 7. Give m(6).
7
Let o(p) = p**2 - 4*p - 38. Give o(-5).
7
Let z(d) = -d**2 - 18*d - 64. What is z(-6)?
8
Let o(t) = -t - 4. Determine o(-10).
6
Let l(w) = -w**2 - 4*w + 48. Calculate l(-11).
-29
Let j(d) = -d**2 - 13*d + 2. What is j(-7)?
44
Let w(b) = -2*b - 22. Determine w(-7).
-8
Let h(d) = -14*d**3 - d**2 + d. What is h(1)?
-14
Let z(b) = -2*b**3 - 3*b**2 + 1. What is z(-3)?
28
Let x(a) = -2*a**2 + 81*a - 117. Determine x(39).
0
Let z(r) = -r**3 + 12*r**2 - 10*r + 5. Determine z(11).
16
Let u(t) = -3*t**3 + t**2 + 3*t - 2. Determine u(1).
-1
Let f(n) = n**3 - 45*n**2 + 200*n - 4. Determine f(40).
-4
Let d(b) = -b**2 + 43*b - 247. Determine d(36).
5
Let o(v) = 7*v - 11. Calculate o(4).
17
Let c(y) = y**3 + 4*y**2 + y + 8. Determine c(-4).
4
Let j(v) = -35*v - 16. What is j(-1)?
19
Let w(n) = -n**3 + 6*n**2 - 20*n + 114. Give w(6).
-6
Let a(o) = -o + 1. Determine a(-1).
2
Let d(r) = r + 3. What is d(-5)?
-2
Let z(r) = -r**2 - 5*r. Calculate z(-2).
6
Let f(a) = 7*a + 10. What is f(-4)?
-18
Let f(y) = 2*y**2 - 38*y + 34. What is f(17)?
-34
Let l(s) = -2*s - 5. Give l(7).
-19
Let u(a) = -8*a - 2. What is u(-3)?
22
Let v(i) = 6*i + 2. Determine v(-4).
-22
Let m(r) = r**3 - 3*r**2 + 9*r - 8. What is m(5)?
87
Let n(j) = j - 4. What is n(10)?
6
Let r(b) = b + 66. Calculate r(-22).
44
Let h(r) = -r**3 + 8*r**2 + r - 7. Calculate h(8).
1
Let p(z) = -2*z + 4. Calculate p(-3).
10
Let i(v) = v**3 + 5*v**2 - v - 4. Determine i(-5).
1
Let f(x) = 5*x + 11. Give f(0).
11
Let y(u) = -u**3 + 10*u**2 + 13*u - 16. Give y(11).
6
Let q(r) = -r**3 + r**2 + 21*r + 3. What is q(5)?
8
Let m(a) = -a**2 + 19*a + 30. Give m(16).
78
Let j(u) = 2*u - 95. Give j(43).
-9
Let z(a) = -2*a + 43. Give z(12).
19
Let f(t) = -5*t**2 + 16*t + 2. What is f(4)?
-14
Let l(w) = -38*w - 117. What is l(-3)?
-3
Let p(y) = 9*y - 6. Give p(5).
39
Let v(p) = 2*p - 6. Determine v(13).
20
Let d(s) = -6*s**2 - 108*s - 4. Calculate d(-18).
-4
Let k(o) = -27*o - 10. Give k(-5).
125
Let y(o) = -o**3 - 14*o**2 - 2*o - 20. Determine y(-14).
8
Let y(z) = -3*z**2 - 5*z + 3. Calculate y(-3).
-9
Let o(v) = 3*v - 1. Determine o(0).
-1
Let m(q) = -q. Determine m(-5).
5
Let z(x) = x**3 - x**2 - x + 1. What is z(2)?
3
Let k(t) = -t**3 - 5*t**2 + 6*t + 11. Determine k(-6).
11
Let i(a) = -a**3 + 6*a**2 + 5*a + 7. What is i(7)?
-7
Let o(l) = -28*l**2 - l. What is o(1)?
-29
Let i(v) = 10*v + 1. What is i(-2)?
-19
Let n(l) = l**3 - 4*l + 1. Determine n(-4).
-47
Let s(l) = 3*l + 28. Determine s(-9).
1
Let r(u) = u**3 - 4*u**2 - 4*u + 1. Calculate r(3).
-20
Let u(a) = -2*a**2 - 20*a + 12. What is u(-10)?
12
Let z(v) = v**2 + 2*v - 3. Calculate z(2).
5
Let u(a) = -a**3 - 6*a**2 - 26. Give u(-7).
23
Let j(h) = h**3 - h**2 - h + 5. What is j(0)?
5
Let d(m) = -m**2 + 10*m + 17. Calculate d(13).
-22
Let u(c) = -35*c - 166. What is u(-5)?
9
Let o(q) = q**2 + 8*q + 9. What is o(-6)?
-3
Let i(h) = -h**2 - 19*h - 9. Calculate i(-6).
69
Let a(q) = 7*q**2 - 9*q + 6. Give a(5).
136
Let v(k) = k**2 - 2*k - 84. What is v(0)?
-84
Let h(v) = -5*v**2 - 67*v - 17. Calculate h(-13).
9
Let v(f) = 7*f + 11. Calculate v(4).
39
Let z(g) = -g**2 - 14*g - 8. Determine z(-13).
5
Let g(l) = -49*l. What is g(-1)?
49
Let f(u) = -2*u - 12. Calculate f(4).
-20
Let c(x) = 13*x - 11. What is c(5)?
54
Let d(j) = 80*j + 239. Determine d(-3).
-1
Let g(u) = -u**3 - 6*u**2 + 38*u - 16. Give g(-10).
4
Let g(l) = 22*l + 67. Give g(-3).
1
Let k(q) = -6*q**2 - 4*q + 1. What is k(-3)?
-41
Let m(z) = z - 1. What is m(6)?
5
Let b(o) = -2*o - 12. What is b(-14)?
16
Let p(i) = -i**2 + 27*i - 113. Determine p(22).
-3
Let i(d) = d**3 + 23*d**2 - 5. Calculate i(-23).
-5
Let v(q) = -q**2 + 24. Determine v(6).
-12
Let m(a) = 6*a - 9. Determine m(5).
21
Let n(l) = -l**2 - 2. What is n(0)?
-2
Let g(n) = -3*n**3 + 3*n**2 - 3*n + 2. Calculate g(2).
-16
Let r(m) = 30*m - 1. Calculate r(1).
29
Let u(n) = n**2 - 5*n + 8. Determine u(7).
22
Let j(h) = -h + 13. Determine j(0).
13
Let q(x) = x**2 + 6*x - 7. Calculate q(7).
84
Let j(m) = -m**3 - 5*m**2 + 6*m + 8. Calculate j(-6).
8
Let s(v) = -v**3 + 27*v**2 + 59*v - 22. Determine s(29).
7
Let j(k) = k**3 - 8*k**2 + 13*k + 4. Calculate j(6).
10
Let t(z) = -29*z + 210. Calculate t(7).
7
Let r(m) = -3*m**3 - 2*m**2 - 2*m - 1. Give r(-1).
2
Let h(f) = -f**2 - 11*f + 6. Calculate h(-11).
6
Let v(k) = 3*k**3 - 8*k**2 - 2*k - 5. Calculate v(4).
51
Let s(w) = w**3 + 9*w**2 + 5*w - 14. What is s(-8)?
10
Let x(m) = m - 30. Give x(18).
-12
Let s(l) = 5*l - 14. What is s(6)?
16
Let j(i) = -i**3 + 10*i**2 - 16*i - 10. Give j(7).
25
Let l(p) = -23*p + 279. Calculate l(14).
-43
Let d(m) = m**3 + 16. Give d(0).
16
Let s(q) = q**2 + 4*q - 9. Give s(0).
-9
Let v(h) = h**2 + 15*h + 4. Calculate v(-17).
38
Let n(l) = -4*l**3 - 3*l**2 + 2*l + 2. What is n(-3)?
77
Let w(x) = -28*x**2 - 5*x + 4. Determine w(1).
-29
Let z(o) = o**2 + o + 5. What is z(-6)?
35
Let p(q) = q**3 - 8*q**2 - 9*q + 67. What is p(8)?
-5
Let x(v) = v + 13. Give x(-8).
5
Let x(i) = i**2 + 11*i - 54. Calculate x(-16).
26
Let q(f) = -22*f**3 + f**2 - f + 1. Give q(1).
-21
Let f(n) = -346*n + 1388. Calculate f(4).
4
Let v(m) = 3*m. Give v(0).
0
Let p(h) = 3*h - 6. Calculate p(13).
33
Let n(b) = -b**2 + 11*b - 29. Give n(12).
-41
Let y(g) = g**2 + 7*g - 46. Give y(-11).
-2
Let v(h) = h**3 - 8*h**2 + 2*h + 4. What is v(8)?
20
Let p(r) = r**3 - 9*r**2 + 7*r - 2. Calculate p(8).
-10
Let d(y) = -6*y + 6. What is d(-3)?
24
Let m(p) = 5*p - 65. Give m(9).
-20
Let v(d) = -8*d + 11
|
{
"pile_set_name": "DM Mathematics"
}
|
xpand (-4 + 4 + 1)*(2*p - 3*p + 3*p)*(253*p**4 - 666*p**4 - 832*p**4).
-2490*p**5
Expand (2 - 2 - s)*(-5*s + 0 + 0)*(18 + 4 + 11) + (-2*s**2 - 2*s**2 + 3*s**2)*((-1 + 3 + 0)*(2 - 1 + 2) + 2 + 3 - 4 + (-6 + 0 + 4)*(1 - 1 - 3)).
152*s**2
Expand (3 - 2 + 3)*(-1661 - 1835 + 2732)*(2 - 2 + 2*q**2).
-6112*q**2
Expand (-7*m**2 - 2*m**2 - 9*m**2 + m)*(m - m + 3*m**2) + (3*m**2 - m + m)*(m**2 + 4 - 4).
-51*m**4 + 3*m**3
Expand (413 + 385 - 672)*(1 + 1 + 0)*(-3*o - 4*o + 3*o)*(-3*o - o + o)*(3*o - 4*o - o).
-6048*o**3
Expand (2*t - t**2 - 2*t)*(0 - 1 + 2*t**2 + 0*t**2)*(-6 - 1 - 3)*(10 + 3 - 4).
180*t**4 - 90*t**2
Expand 3*h**2 + 67 - 32 - 39 + (-11 - 5 - 5)*(-5*h**2 + 2*h - 2*h).
108*h**2 - 4
Expand (-2*y + 2*y**2 + 2*y)*(-4*y**2 + 4*y**2 + 2*y**2) + (-318*y - 124*y**3 + 318*y)*(-2*y + 6*y - 2*y) + 3*y**4 + 1 - 1 + 2*y**4 - 57*y**3 - 59 + 59.
-239*y**4 - 57*y**3
Expand (-7*o**4 + 392*o**2 - 389*o**2 + 3*o**4)*(43*o - 195*o - 242*o).
1576*o**5 - 1182*o**3
Expand (-h**2 - 2 + 2)*(-h**2 + 2*h**2 - 4*h**2) + (4*h + h**2 - 4*h)*(-2*h**2 - 3*h**2 + 0*h**2) - 4*h + 4*h - 2*h**4 - 3*h**4 - 3*h**4 - 5*h**4.
-15*h**4
Expand (2*g + 5*g - 4*g)*(-75*g**3 - 149*g**3 + 102*g**3) + (g + 2*g - 2*g)*(-3*g**3 - g**3 + g**3).
-369*g**4
Expand (0*j + 0*j - j)*(-1467 + 676 + 706)*(-5 + 0*j - 3 + 2*j).
170*j**2 - 680*j
Expand (-4 + 0 + 6)*(1088 - 20*l - 1088)*(0*l + 0*l + l**4).
-40*l**5
Expand (-1 - 2*w + 1)*(175 + 18 - 453 - 642) + 2*w - 2*w - w + (0 - 5 + 4)*(0 + 0 + w).
1802*w
Expand (-3 - 1 + 5)*(1 - 1 - n)*(-8369*n - 22 + 4290*n + 4268*n).
-189*n**2 + 22*n
Expand 1 - 1 - 2*w + 0*w + 2*w - 4*w + (-2 - 2 + 2)*(w + 0*w + w) + 2 - 2300*w + 3 - 5 + 3569*w.
1261*w
Expand (-2*d**2 - 4*d**2 + 9*d**2)*((4*d + 9 - 9)*(4*d + d - 4*d) + 0*d**2 + 0*d**2 + d**2 + (4 - 4 + d)*(-3*d - 2*d + 4*d)) - 8*d**4 + 6*d - 6*d.
4*d**4
Expand (-2276*p + 2118605 - 2118605)*(1 - 2 + 4).
-6828*p
Expand (102*t**2 - 6*t**5 - 42*t**2 - 40*t**2)*(-10 - 10 + 15).
30*t**5 - 100*t**2
Expand (-2*p**3 + 2144*p**4 - 1270*p**4 - 297*p + 594*p - 296*p)*(-1 + 4 - 2).
874*p**4 - 2*p**3 + p
Expand (0*g - 2 - 4*g + 3*g)*(-485 - 288 - 175)*(1 + 1 - 5).
-2844*g - 5688
Expand (3*x - 3*x + x)*(3 - 3 - 2*x) + (231 + 212 - 514)*(-33*x + 33*x - 4*x**2).
282*x**2
Expand (0*l - l + 2*l + (3*l - l + 0*l)*(-3 + 3 - 2) - 3*l + 4*l - 3*l)*(-6*l**2 + 3*l**2 + 4*l**2) + (-l - 1 + 3*l + 3)*(398*l**2 - 409*l**2 + 599*l**2).
1171*l**3 + 1176*l**2
Expand (-8 + 2 - 5)*(289*r + 83*r - 102*r) + (-3*r + 5*r + 0*r)*(-1 - 2 + 1) - 2*r + 0*r + r.
-2975*r
Expand (3*z - 2*z - 3*z)*(-3*z**2 + 2*z**2 - z**2)*(3*z - 7*z + 3*z) + (4*z**2 + 2*z**2 - 4*z**2)*(2*z - 4*z + 7*z)*(-6*z + 5*z + 0*z) + 0*z - z**4 + 0*z.
-15*z**4
Expand 0*z**2 - z**2 - 3*z**2 + (4*z**2 - 2*z**2 + 0*z**2)*(-454 - 396 + 984).
264*z**2
Expand 2054*b - 39 - 10048*b + 36 + (-b - b + 0*b)*(-6 + 1 + 3) - 2*b + 2 - 2.
-7992*b - 3
Expand (18 + 158 + 17)*(8*k**2 - 4 + 4).
1544*k**2
Expand (-3 - 2 + 7)*(30 + 1349 + 5*d + 10*d + 159).
30*d + 3076
Expand (-3 + 1 + 0)*(21*m + 56626 - 57176 - 23*m).
4*m + 1100
Expand 97*v**2 + 21*v**4 - 97*v**2 + (3*v**4 + v**4 - 3*v**4)*(19 - 17 + 19).
42*v**4
Expand (-272906*h**3 + 272906*h**3 - 484*h**4)*(0 + 3 + 1).
-1936*h**4
Expand -7 - 5*g + 7 + (332 - 409 - 217 - 422 - 930)*(-g - 1 + 1).
1641*g
Expand (4*r - 3*r + r)*(-2*r - 4*r + 5*r)*(-5*r**2 + 4*r**2 + 46 - 2*r**2).
6*r**4 - 92*r**2
Expand (-2*v - 7*v - 475049 + 475121)*(-3*v - v**2 + 3*v)*(-4 + v**2 + 4).
9*v**5 - 72*v**4
Expand (-1 + 0 + 0)*(0 + 6 - 8)*(3*m - m + 0*m) + (1 - 1 - 1)*(-2*m + 0*m + m) + 4*m + 1 - 1 + 0*m - 4*m + 2*m - m - 2*m - 2*m + (2*m + 4 - 4)*(4 - 1 - 2).
4*m
Expand (206 + 149 - 33 - 66)*(23 - 4*x - 23).
-1024*x
Expand 3 + o**5 - 3 + (-606*o**3 + 112*o**3 - 946*o**3)*(-5*o**2 + 2*o**2 + 2*o**2).
1441*o**5
Expand (22 - 22 - 57*g)*(57*g**2 - 18*g**2 - 15*g**2).
-1368*g**3
Expand 137*z**4 + 158*z - 158*z + (5 - 2 - 1)*(-z**2 + z**2 - z**4) + 2*z**4 - 4*z**4 + 3*z**4 + z - z - 5*z**4.
131*z**4
Expand (389 - 302 + 598 + 899)*(1 - 1 + 2)*(3*k - 1 + 1).
9504*k
Expand -2*i**2 + 4*i**4 - 3*i**4 - 3*i - 2002 + 2003 + (-3 + 3 - i)*(1 - i**3 - 1) - 2*i**4 - i**4 + 5*i**4 - i**3 - i**4 + i**3.
3*i**4 - 2*i**2 - 3*i + 1
Expand ((3 - 3 + a)*(-117*a**2 - 117*a**2 + 275*a**2) + 2*a**3 - 2*a**2 + 2*a**2)*(77 - 37 + 0).
1720*a**3
Expand (-291*a - 20*a - 701*a)*(-2 + a + 1 + a) + (3*a + 2*a - 4*a)*(-2*a - 3 + 3).
-2026*a**2 + 1012*a
Expand 6*y**4 - 3*y**4 - 2*y**4 + (2*y**2 - y + y)*(y**2 - 2*y + 2*y) - y**4 - 5*y**4 + y**4 + (y**2 - 2 + 2)*(-y**2 + 3 - 3) - 10*y**4 - 38*y**4 - 15*y**4.
-66*y**4
Expand (-102 + 42 + 39)*(-2 + 0 + 1)*(-a + 2*a + 4*a)*(-3*a - 16 + 16).
-315*a**2
Expand (-10386*w**3 + 20865*w**3 - 10396*w**3)*(w**2 + w**2 - 3*w**2) + w**5 + w - w.
-82*w**5
Expand (-135 + 8*l + 135)*(-l + l + 2*l + (4 + 3 - 5)*(l - 2*l + 2*l) + 36*l + 1685 - 1685 - 4 + 4 - 2*l)*(-2 - 5*l**3 + 2).
-1520*l**5
Expand (9*b - 21*b - 9*b)*(10*b + 21 + 10*b - 28*b).
168*b**2 - 441*b
Expand (2*a - 2*a + 2*a)*(62*a + 16*a**2 - 62*a) + (-234*a + 260*a + 87*a)*(4*a**2 + 3*a**2 - 4*a**2).
371*a**3
Expand (-2*l + 3*l + 2*l)*(1 - 3 - 1)*(-5*l + 0*l + 4*l) - 933*l**2 - 1 + 1487*l**2 - 821*l**2.
-258*l**2 - 1
Expand (-1 + 0 + 4)*(-1 - 16705*t + 17451*t - 1).
2238*t - 6
Expand (-21 - 5 - 14)*(-140 - 2*u + 149 + 3*u).
-40*u - 360
Expand (-7 + 7 + 3*c**2 + (7*c**2 + 12*c**2 - 9*c**2)*(4 - 3 + 2))*(-1 - 2 - 9)*(2*c**2 + 2*c**2 - 3*c**2).
-396*c**4
Expand 0*z - 3*z**3 + 0*z + (-5 + 1 + 2)*(-6*z**3 + z**3 + 3*z**3) - 6*z**3 - 2*z**3 - 2*z**3.
-9*z**3
Expand (0*w + w - 3*w)*(-615*w**2 + 31377 - 31377).
1230*w**3
Expand (-2*a + 2*a + 2*a)*(3*a - a + 0*a) + 2*a**2 + 4 - 4 + 29903 - 14946 - 14949 - 3*a**2.
3*a**2 + 8
Expand (21*f**4 - 15*f**4 - 8*f**4 + 485)*(3*f - 4*f - f).
4*f**5 - 970*f
Expand (-2 - 3 + 4)*(5 - 5 + 2*i**2) - 239*i**2 - 1086*i**2 + 116*i**2 + 4*i**2 - 7*i**2 + 6*i**2 + (3*i - 3*i - i)*(2*i - 3*i + 3*i).
-1210*i**2
Expand -1 + t + 1 - t + t - t - 2*t - 2 + 2 + (-3 + 0 + 1)*(2*t - 3*t + 3*t) - t + 4*t - 2*t - t - 2 + 2 + 1 - 1 - 2*t - 3*t - t + 7*t - t - 7*t - 5*t.
-18*t
Expand (-7 - 13 + 34)*(335*g**3 - 46*g**3 + 56*g**3) + (-6 + 2 + 3)*(-2*g**3 + g**3 + 0*g**3).
4831*g**3
Expand (-2*p**3 + 3*p**2 - 3*p**2)*(-p + 4*p - 5*p) + 4*p**4 - 2*p**4 - 4*p**4 + (7568*p - 8 - 15132*p + 7571*p)*(5*p**2 - 5*p**2 + 12*p**3).
86*p**4 - 96*p**3
Expand ((-j + 4*j - j)*(3 - 2 - 3) + 12 - 12 + 5*j + 0*j + 3*j - 2*j)*(4 + 0 - 6)*(17 + 11 - 4)*(0 + 3*j - 2 - 13*j).
960*j**2 + 192*j
Expand (3 - 5 + 6)*(2 - 1 + 45*o - 1)*(-14 - 34 - 4).
-9360*o
Expand (-q + q - q**2)*((q**2 + 0*q**2 + 0*q**2)*(6 - 1 - 3) - 2*q**2 + 7*q**2 - 3*q**2 + 666*q**2 + 147*q**2 - 302*q**2) + 0*q**4 - 2*q**4 - q**4.
-518*q**4
Expand 0*z**3 + 3*z**3 - z**3 + (-395*z - 157*z + 72*z)*(-z**2 + 1 - 1).
482*z**3
Expand -11*k**3 + 4*k**3 - 2*k**5 - 2*k**3 + (-2 - 2*k**2 + 2)*(-64*k**3 + 400*k**3 + 409*k**3 - 146*k**3).
-1200*k**5 - 9*k**3
Expand ((0 - 1 + 5)*(-14 + 7 + 18) - 2 + 0 + 3)*(2*m**5 - 3*m**5 - 2*m**5).
-135*m**5
Expand -1 + 1 - 3*o**3 + (-3*o - o + o)*(-2*o**2 + o**2 + 2*o**2) - o**3 - o + o + 34*o**3 + 0*o**3 - 6*o**3.
21*o**3
Expand (5*s + 4*s - 5*s)*(-1 + 1 - s) + 174875 - 174875 + 154*s**2.
150*s**2
Expand 2*o + 3*o - 4*o - 5*o + 5*o - 2*o + (0*o + 0*o - o)*(-3 - 2 + 6) + 22776 - 11428 + 36879*o - 11348.
36877*o
Expand (-3*y**2 - 5*y**2 + y**2 + (2*y**2 - 5*y**2 + 2*y**2)*(-1 + 0 + 2) - y**2 - 2*y**2 + 5*y**2)*(-y - 882 + 882 + 34*y**2).
-204*y**4 + 6*y**3
Expand (3*f**2 + f**2 - 3*f**2 + (2*f + 3 - 3)*(-2*f - 2 + 2))*(31*f - 22*f - 67*f) + (2*f**2 - 3 + 3)*(9*f + 3*f + 2*f) + f**3 + f - f.
203*f**3
Expand (-n + 1 - 1)*(-3*n**3 + 4*n**3 + 5*n**3) - n**4 - n**4 + n**4 + 2*n**4 - 2*n**4 + 3*n**4 + (3*n**2 + n**3 - 3*n**2)*(-66*n + 33*n + 50*n).
13*n**4
Expand (1 - l - 1)*(0*l + 0*l - 4*l)*(-3 + 7 - 2)*(1454 - 2365 + 1264).
2824*l**2
Expand 3 + 3*g - 3 + (1 - 3 + 3)*(5964*g - 3465*g - 3385*g).
-883*g
Expand (-117*f**2 + 265*f**2 + 253 - f**3 - 147*f**2)*(4 - 3 - 2)*(-f + 0*f + 2*f).
f**4 - f**3 - 253*f
Expand (0 + 0 + 3*l**2)*(24*l + 22*l - 2*l)*(-l - 4*l - 3*l)*(4 - 2 - 3).
1056*l**4
Expand (8 + 11*a - 8)*(-3*a**4 + a**4 + 5*a**4) - 2*a**5 - a**5 + 0*a**5.
30*a**5
Expand (-4*u + 0*u + 3*u + 2 - u - 2 - 6*u + 3*u + 2*u + (2 - 5 + 1)*(-2*u +
|
{
"pile_set_name": "DM Mathematics"
}
|
t w(b) = 6*f(b) - 5*p(b). Let r(j) = 3*j**2 + 5*j. Calculate w(r(a)).
3*a**2 + 5*a
Let y(u) = 145*u. Let v(c) be the first derivative of c**4/12 + c**2/2 - 11*c - 42. Let w(x) be the second derivative of v(x). Give y(w(m)).
290*m
Let d(j) = -2577*j. Let p(o) be the third derivative of -o**5/30 - 3*o**2 - 76. What is d(p(k))?
5154*k**2
Let q(u) = 2*u + 1320939. Let y(d) = d. Determine q(y(k)).
2*k + 1320939
Let k(r) = -6*r. Let p(l) be the first derivative of -l**2 + l - 29. Let w(v) = -4*v**2 + 24*v - 12. Let q(c) = -12*p(c) - w(c). What is q(k(z))?
144*z**2
Let g(i) = -8 - i**2 + 7*i**2 + 1 - 11*i**2. Let m(l) = -8*l. Calculate g(m(o)).
-320*o**2 - 7
Let l(j) = -j**2. Let d(z) = -37370089*z. Give d(l(k)).
37370089*k**2
Let p(k) be the first derivative of 0*k + 27 + 0*k**2 + 1/3*k**3. Let z(l) = -11*l**2. What is z(p(q))?
-11*q**4
Let y(w) = -53 + 7*w + 107 - 54 + 46*w. Let d(v) = -4*v. Determine y(d(j)).
-212*j
Let q(i) = 9320*i. Let o(b) = 174*b. What is q(o(g))?
1621680*g
Let t(v) be the second derivative of -v**3/3 + 25846*v. Suppose 4*m = -4*z, 4*m + 2*z - 2 = -z. Let u(b) = 0*b**2 - 3*b**2 + 0*b**2 - m*b. Give t(u(i)).
6*i**2 + 4*i
Let z(n) = -15*n**2. Let f(r) = 269555*r. What is z(f(l))?
-1089898470375*l**2
Let f(r) = 277*r. Let v(u) = 2061685*u. What is v(f(o))?
571086745*o
Let s(z) = -2*z. Let w(y) = 15. Let t(n) = n - 19. Let i(p) = 8*t(p) + 14*w(p). Give i(s(h)).
-16*h + 58
Suppose -2*q - 3*u + 19 = 0, 2*q - 4*u + 11 = -5. Let s(d) = 27*d**q - d + 243 - 243. Let k(v) = 3*v. What is k(s(m))?
81*m**2 - 3*m
Let o(i) be the third derivative of i**7/720 - i**5/15 + i**4/8 + 41*i**2. Let t(f) be the third derivative of o(f). Let v(a) = -5*a**2. What is t(v(x))?
-35*x**2
Let c(w) = 62966263*w. Let t(v) = -5*v. Give c(t(p)).
-314831315*p
Let c(j) = j**2 + 12. Let p(i) = -38*i + 1. Let b be p(2). Let q be (-465)/b - (-1)/(-5). Let m(v) = -2*v - q*v + 4*v + 2*v. Determine m(c(k)).
-2*k**2 - 24
Let s(r) = 2*r + 167. Let j(f) = f + 69. Let m(a) = -5*j(a) + 2*s(a). Let y(q) = 10*q**2. Calculate y(m(n)).
10*n**2 + 220*n + 1210
Let f(m) = 481*m. Let k(y) = 915985*y - 915985*y - 2*y**2. Determine k(f(s)).
-462722*s**2
Let b(w) = -w**2 + 10*w - 3. Let l be b(6). Let a(r) = l*r**2 - 28*r**2 + 19*r**2. Let d(n) = -n. Give d(a(g)).
-12*g**2
Let f(t) = 7*t. Suppose -89 = -5*v - 3*g, 27 = v + 3*g + 2. Let a(j) = -j**2 + v*j**2 + 18*j**2 - 2*j**2. Determine a(f(p)).
1519*p**2
Let d(o) = -549*o**2 - 3 - 559*o**2 + 1659*o**2 - 548*o**2. Let s(c) = -51*c**2. Determine d(s(f)).
7803*f**4 - 3
Let c(p) = -62075*p + 24. Let a(f) = -61*f. Calculate a(c(x)).
3786575*x - 1464
Let a(d) be the second derivative of 197*d**4/4 + 628*d. Let s(x) = -3*x. Determine s(a(c)).
-1773*c**2
Let r(l) = 4*l. Let s(k) be the second derivative of -37 - 2*k - 6 + 2*k**4 + 32*k**2 - 31*k**2. What is s(r(b))?
384*b**2 + 2
Let i(l) = 900*l. Let j(h) = -5*h + 70. Let p(g) = 3*g - 40. Let y(w) = 4*j(w) + 7*p(w). Calculate i(y(f)).
900*f
Let p(h) be the second derivative of 6*h**3 - 10*h - 1. Let q(a) be the second derivative of a**4/4 + 130*a. Calculate p(q(z)).
108*z**2
Let o(u) = 39*u**2 - 21*u**2 - 21*u**2 + 1 - 5. Let j(y) = 5*y**2 + 7. Let i(v) = -4*j(v) - 7*o(v). Let h(s) = -55*s - 1. What is i(h(p))?
3025*p**2 + 110*p + 1
Let j(u) = -2*u. Let r(z) = -19*z**2 - 486252*z - 1. Calculate j(r(p)).
38*p**2 + 972504*p + 2
Let u(w) = -88*w. Let h(c) be the first derivative of c**5/120 + 14*c**3/3 + 3*c**2/2 + 29. Let q(g) be the third derivative of h(g). Determine u(q(m)).
-88*m
Let i(n) = 94*n. Let l(h) = 62*h**2 + h - 169. Give l(i(m)).
547832*m**2 + 94*m - 169
Let w(i) = -247*i - 3. Let q(o) = 1954*o**2. What is w(q(g))?
-482638*g**2 - 3
Let o(j) = 10146*j. Let k(s) = 100*s - 61. Calculate o(k(h)).
1014600*h - 618906
Let h be 14/(-18) - 8/36. Let l(f) = 6*f**2 + 4. Let n(q) = -q**2 - 1. Let g(o) = h*l(o) - 4*n(o). Let w(j) = 3*j + 9. Determine w(g(a)).
-6*a**2 + 9
Let f be ((-8)/6)/(6/153). Let b = f - -39. Let m(u) = 6*u - 4*u - b*u. Let h(v) = -3*v**2. What is m(h(y))?
9*y**2
Let s(p) be the first derivative of -p**3 + 1. Let o(m) = 149581 + 1978*m - 1962*m - 149580. Give o(s(v)).
-48*v**2 + 1
Let d(v) = -v - 8. Let u be d(-12). Suppose 0 = b + l, 3*b - 6 = -l + u. Let y(n) = b*n - 5*n - 4*n + 0*n. Let a(r) = -r**2. What is y(a(z))?
4*z**2
Let w(h) be the third derivative of h**4/8 + h**2. Let g(x) be the first derivative of -7*x**3/3 + 36922. Calculate w(g(z)).
-21*z**2
Let z(j) = 84*j**2 + 275*j. Let t(d) = -2148*d. Give t(z(s)).
-180432*s**2 - 590700*s
Let i(b) = 12381*b**2. Let a(s) = -2*s**2 + 322. Let h(v) = v**2 - 138. Let d(t) = -3*a(t) - 7*h(t). Calculate i(d(k)).
12381*k**4
Let t(u) = 532*u**2 - 104*u**2 - 192*u**2 + 1285*u**2 + 204*u**2. Let y(d) = -3*d. Give t(y(h)).
15525*h**2
Let n(g) = 169*g. Let x be 5252/(-12)*(-2 + -1). Let b(y) = x*y + y**2 - 2621*y + 1308*y. Determine n(b(o)).
169*o**2
Let l(o) be the third derivative of 31/60*o**5 + 0*o**3 + 2*o + 0 + 7*o**2 + 0*o**4. Let q(u) = -3*u**2. Calculate q(l(v)).
-2883*v**4
Let g(h) = -2*h. Let u(p) be the second derivative of 49*p**4/12 + p**2/2 - 740*p. Give g(u(f)).
-98*f**2 - 2
Let i(n) = -2*n**2 + 4. Let z(m) = -m**2 - 6. Let g(v) = 3*i(v) + 2*z(v). Let f(a) = -21*a. Determine g(f(c)).
-3528*c**2
Let u(y) = -12*y. Let k(h) = -982398*h. Determine u(k(r)).
11788776*r
Let g(f) = -13 + 2*f - 4 + 22 - 5. Let w(s) = 388*s. Determine w(g(v)).
776*v
Let z(k) = -10*k + 2692. Let l(c) = -154*c**2. Give z(l(r)).
1540*r**2 + 2692
Let r(b) = 261*b + 22. Let f(h) = 190*h + 16. Let l(a) = 11*f(a) - 8*r(a). Let u(m) = -730*m. Give l(u(w)).
-1460*w
Let y(f) = -3*f + 1856675 - 928330 - 2*f - 928333 - f. Let u(p) = 28*p. Calculate y(u(t)).
-168*t + 12
Let l(q) = -104*q**2 + 40*q + 40. Let z(x) = 3*x**2 - x - 1. Let y(g) = l(g) + 40*z(g). Let t(k) = 75*k + 2. What is y(t(r))?
90000*r**2 + 4800*r + 64
Let b(q) = -6 - 5*q + 6 + 4*q. Let m(o) be the first derivative of 107*o**2 + 6635. Calculate b(m(n)).
-214*n
Let q(k) = -54648*k**2 + 3696*k. Let p(t) = -518*t**2 + 35*t. Let v(w) = 528*p(w) - 5*q(w). Let f(g) = 2*g. Give v(f(l)).
-1056*l**2
Let a(r) = -2*r. Let t(b) = 3*b**2 - b + 8. Let u be t(4). Let h(d) = 72*d**2 + 7 - 7 - u*d**2. Determine a(h(l)).
-40*l**2
Let v(i) = 2*i. Let n(b) = -13*b + 5576342. Calculate v(n(q)).
-26*q + 11152684
Let u(n) be the third derivative of -n**5/20 + 2236*n**2. Let b(f) = -90*f**2 + 1. What is u(b(w))?
-24300*w**4 + 540*w**2 - 3
Let m(f) = -3 + 3 - 11*f. Let p(x) = -282255*x - 282250*x + 564496*x. Give m(p(a)).
99*a
Let r be 313 - 2 - (-17)/(-17). Let i(g) = 305*g + r*g - 616*g. Let v(z) = -5*z + 7. Determine v(i(t)).
5*t + 7
Let w(d) = -129*d + 85. Let s(b) = 35*b**2 - 2*b + 14. Determine w(s(z)).
-4515*z**2 + 258*z - 1721
Let r(u) = 14*u. Let w(k) = 3*k. Let p(s) = 4*r(s) - 18*w(s). Suppose 4*x - 16 = -4*x. Let a(t) = 82*t**x + 86*t**2 - 157*t**2. Give a(p(f)).
44*f**2
Let g = -36 + 139. Let s(v) = -106*v**2 + 224*v**2 - g*v**2. Let q(b) = 3*b. Determine s(q(r)).
135*r**2
Let u(h) = 222*h**2 + 9. Let p(a) = 4*a. Let w(d) = 29*d. Let z(r) = 22*p(r) - 3*w(r). Determine z(u(n)).
222*n**2 + 9
Let q(r) be the second derivative of 335*r**3/3 + 346*r + 1. Let s(z) = 2*z. What is q(s(p))?
1340*p
Let u(w) = -5*w**2. Let b(n) = -144*n**2 + 175*n + 5. Let v(d) = 2736*d**2 - 3360*d - 96. Let c(k) = -96*b(k) - 5*v(k). What is u(c(t))?
-103680*t**4
Let h(j) = 5*j**2 - 7*j + 59. Let u(m) = 2*m - 216. Let g(i) = -2*i + 270. Let z(v) = -4*g(v) - 5*u(v). Give z(h(q)).
-10*q**2 + 14*q - 118
Let b(j) = 14*j. Let h = 499 - 498. Let y(g) = 0*g + 0*g - g. Let s(f) = f**2 - 2*f. Let x(u) = h*s(u) - 2*y(u). Give b(x(l)).
14*l**2
Let y(j) = -115*j**2. Let o(w) = -143*w - 207. What is o(y(b))?
16445*b**2 - 207
Let h(m) = -35*m. Let o(k) = -93 - 21*k + 13*k - 100 + 193. Calculate h(o(t)).
280*t
Let f(i) = 28988*i. Let t(r) be the first derivative of r**3/3 - 1480. Determine t(f(x)).
840304144*x**2
Let i(w) be the second derivative of -5*w**3/6 - w + 226. Let y(v) = 2*v**2 - 4. Let h(x) = -x**2 + 5. Let u(f) = -4*h(f) - 5*y(f). What is i(u(q))?
30*q**2
Let z(h) = -6281*h + 14. Let y(a) = -2107*a + 5. Let v(g) = -22*y(g) + 8*z(g). Let u(j) = -5*j**2. What is u(v(c))?
-75816180*c**2 + 77880*c - 20
Let z(y) = -5*y - 16. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
bigger: 1 or 599/743?
1
Which is smaller: 7367 or 34?
34
Which is greater: 3971/2 or -0.04?
3971/2
Is -3/20920 less than 0?
True
Which is smaller: -1 or 9/161701?
-1
Which is bigger: 83/579 or -1?
83/579
Which is bigger: 57 or 2798/49?
2798/49
Is -28124 > -28140?
True
Are -1 and 5/2299 non-equal?
True
Which is smaller: 16392 or 16353?
16353
Are -2 and -1022.97 equal?
False
Is 371 at most as big as 2766?
True
Is 1 < 42/188299?
False
Which is smaller: -1 or 280/1779?
-1
Is -3466 at least as big as -3466?
True
Is -579 <= -13841?
False
Are 47963 and 47957 unequal?
True
Which is smaller: 5047 or 5045?
5045
Which is smaller: 328 or 367?
328
Which is smaller: -1 or -1292300?
-1292300
Which is bigger: 4760 or 39?
4760
Is -14077 less than -1?
True
Is -1121647 at least -1121646?
False
Is -14 at most 168756?
True
Is 9 at least as big as 1533/200?
True
Which is smaller: -195 or -4798?
-4798
Do 47 and -2/975 have different values?
True
Do -4118/17 and -243 have the same value?
False
Which is smaller: 500 or -2310?
-2310
Are 9640 and 9780 nonequal?
True
Which is smaller: 133086 or 266169/2?
266169/2
Are 4192 and 4193 unequal?
True
Is 0 equal to 8/616565?
False
Is -6010 at least -6082?
True
Which is greater: -9914 or 17/11?
17/11
Do 621 and 24169/39 have different values?
True
Which is smaller: -2 or 4214/9?
-2
Which is smaller: -10120 or -10148?
-10148
Which is smaller: -1/145586 or 0?
-1/145586
Is -1 bigger than -1/7812?
False
Do -167057/7 and -23864 have different values?
True
Is 46/3253 > 1/4?
False
Which is bigger: -5177 or -98340/19?
-98340/19
Is -363 >= -34?
False
Which is smaller: 283/207 or 2?
283/207
Which is bigger: 18979 or 1/5?
18979
Which is smaller: -368 or -0.074?
-368
Which is bigger: -738590 or 2?
2
Which is greater: -28/5 or 2648?
2648
Which is bigger: 6116 or 2?
6116
Is 21/1082 > 1?
False
Is 498446 > 2492226/5?
True
Do 13489 and 13492 have the same value?
False
Which is bigger: 1 or -1/160007?
1
Are -782 and -847 non-equal?
True
Are 79952 and 79952 unequal?
False
Is -6172 less than -30866/5?
False
Which is greater: -42.973 or 1?
1
Which is greater: 7 or 3778/553?
7
Which is bigger: -0.1 or 201591/25?
201591/25
Which is smaller: -434/4125 or 1?
-434/4125
Is 37151 > -1/3?
True
Which is smaller: -0.0195508 or -1?
-1
Is 10711 less than 10715?
True
Is 547343 greater than or equal to 547348?
False
Is 1295 greater than or equal to 1024?
True
Which is smaller: -128 or 39/133?
-128
Are 532274/11 and 48388 nonequal?
True
Is 13/4 at least -2199?
True
Is -1/167594 equal to -1?
False
Is 1621 <= 765?
False
Are -79518 and -79523 non-equal?
True
Which is greater: 600 or 464?
600
Which is bigger: -47380/13 or -3646?
-47380/13
Is 819 equal to -4/11?
False
Is 39837 smaller than 39832?
False
Are -1/69072 and 0 equal?
False
Is 2/3 greater than 21345/53?
False
Which is greater: -1/4 or 43.815?
43.815
Is -0.01241 < 7.9?
True
Is 5165 greater than or equal to 5165?
True
Which is smaller: 75 or 4660/63?
4660/63
Is 119 less than -84?
False
Is 0.5 equal to 142/1295?
False
Which is smaller: 1 or 118/897?
118/897
Which is smaller: 54739 or 0?
0
Is 0 <= -205/4308?
False
Is -2 <= -23/12?
True
Is 42089 >= 42068?
True
Does -2/5 = -6.49073?
False
Which is smaller: 2/161581 or -1?
-1
Is -0.0586 > -0.539?
True
Which is greater: -18673 or -18672?
-18672
Which is smaller: 0.254 or 230?
0.254
Is 1 > -8/148685?
True
Which is bigger: -5 or -10015?
-5
Are -1/3 and 2367157 equal?
False
Which is greater: -26117 or -1.1?
-1.1
Do 0 and 2/40687 have different values?
True
Which is greater: 60693 or 60692?
60693
Which is bigger: 21096 or 1/13?
21096
Is 1097/532 >= 2?
True
Is 21202 <= 21237?
True
Which is bigger: 10100 or 10104?
10104
Is -1 not equal to 25/167842?
True
Do 0.27 and -28.12 have the same value?
False
Which is smaller: -181 or 9?
-181
Is -10897 smaller than -10896?
True
Is 1356 != 1348?
True
Is 199 equal to 14?
False
Which is bigger: 38303 or 38302?
38303
Is 1109/108 greater than or equal to 11?
False
Which is smaller: -152997 or -152996?
-152997
Does -2710 = -2710?
True
Which is greater: -2 or 234563?
234563
Which is smaller: -2096 or -661?
-2096
Which is smaller: -69/23032 or 1?
-69/23032
Is -1 smaller than -100/239?
True
Which is bigger: -390 or -398?
-390
Which is bigger: -54613/4 or -1/21?
-1/21
Which is bigger: -2/586289 or 1?
1
Which is smaller: -112860 or -112864?
-112864
Is 37.3356 <= -3/8?
False
Does 468 = 519?
False
Which is greater: 263 or -2372?
263
Is -2/10789 greater than or equal to -264?
True
Is 9101 <= 9317?
True
Is -1 at most -10/501661?
True
Is -1485 less than -10399/7?
False
Is 6909581 >= 6909581?
True
Is 7 less than -0.03885?
False
Are -4/27 and 13/599 equal?
False
Are -207539/6 and -34589 non-equal?
True
Is 5/58392 at most as big as -1?
False
Which is smaller: -37/7726 or 0?
-37/7726
Are -113 and 140 non-equal?
True
Is 10800/17 bigger than 636?
False
Which is greater: -0.51 or 69/22?
69/22
Which is bigger: 23/8 or -6/7?
23/8
Which is smaller: -1 or 6/1632947?
-1
Which is smaller: 1.33681 or -3/11?
-3/11
Is -1259/257 greater than -4?
False
Which is greater: 3.51 or -3439?
3.51
Is 32278/9 equal to -1?
False
Which is greater: -1137 or -1122?
-1122
Is -671074 at most -671074?
True
Which is smaller: -2 or -3638/1439?
-3638/1439
Which is greater: 2 or -93/9695?
2
Which is smaller: 14737 or 14651?
14651
Which is bigger: 5311 or 63731/12?
5311
Which is bigger: 1 or 1/123042?
1
Is -0.07 > -10325?
True
Is 1298 smaller than -1775?
False
Which is smaller: 0 or 1/2845901?
0
Is -22261 at most -11?
True
Is -0.2 != 11187?
True
Is -13/14 smaller than 0.29?
True
Which is smaller: 1 or -25/1212?
-25/1212
Which is smaller: -445101 or 0?
-445101
Which is greater: 741783 or 741784?
741784
Is 329/6 greater than or equal to 195?
False
Which is greater: 1794.6016 or 2/5?
1794.6016
Which is smaller: -11647 or -11642?
-11647
Which is bigger: 188/1481 or 1?
1
Is 622 < 608?
False
Is 138 less than 282?
True
Which is greater: -16/248671 or 1?
1
Are -1 and 20/26551 non-equal?
True
Which is bigger: -3 or -1.06091?
-1.06091
Is -2059 greater than or equal to -2?
False
Is -28567 >= -28625?
True
Is -2 > 1/270643?
False
Which is smaller: 5835 or 5829?
5829
Which is greater: -259 or -724?
-259
Is -1/762988 smaller than 0?
True
Which is smaller: 1444732 or 1444738?
1444732
Which is greater: 8685 or 8694?
8694
Which is smaller: -2/221 or 1.127?
-2/221
Is -18279 <= -18278?
True
Which is bigger: 18807 or 18784?
18807
Which is greater: -161 or 465?
465
Which is smaller: 323 or 222?
222
Which is smaller: -51361 or -51418?
-51418
Which is greater: 1/39 or -35.75?
1/39
Which is smaller: 83 or 2185/26?
83
Which is bigger: 1.563 or 9/164?
1.563
Which is smaller: 292840 or 292837?
292837
Which is smaller: -157 or -206?
-206
Which is bigger: -0.07 or 3.8136?
3.8136
Is -5965 != 0.18?
True
Is 16749 >= 16749?
True
Which is greater: 19/2096 or 0?
19/2096
Is -4 smaller than -826/493?
True
Is 89 at most -14.26?
False
Is -8/11229 not equal to -3/8?
True
Is 6/1867 at least as big as -8?
True
Are 0.79 and 3/17 equal?
False
Which is smaller: -234 or -35308/151?
-234
Which is smaller: -3.3 or 1408?
-3.3
Is 5757 not equal to -1/300?
True
Is -2794/9 greater than -310?
False
Are -30022 and -390288/13 equal?
False
Which is bigger: 70899/14 or 5065?
5065
Which is greater: 0.1 or -2221/44?
0.1
Does -745/178 = -3?
False
Which is smaller: -1259.722 or -2/3?
-1259.722
Which is smaller: 0.2 or 30366?
0.2
Is -1601997 equal to -1601997?
True
Which is smaller: 192305 or 192272?
192272
Which is smaller: -108.8198 or 2/5?
-108.8198
Is -270884 >= -270884?
True
Which is smaller: -0.00932 or 37?
-0.00932
Is -387045 smaller than -387045?
False
Is 4591/3 bigger than -8?
True
Which is smaller: 1/1400 or 18?
1/1400
Is 1560 greater than or equal to 1618?
False
Which is smaller: -8910 or -31?
-8910
Is -20912 bigger than -20916?
True
Is 26.794 > 42?
False
Which is smaller: -0.1 or -1328812?
-1328812
Is 50/13 at most -1?
False
Which is greater: 254991/2 or 127497?
127497
Which is greater: -44.2378 or -19?
-19
Do 1026.4 and -25 have the same value?
False
Are -8/319283 and -1 equal?
False
Which is smaller: 497719/12 or 41476?
41476
Which is bigger: 0.1784 or -2/435?
0.1784
Which is smaller: -479 or -593?
-593
Do -52/1341 and 0 have th
|
{
"pile_set_name": "DM Mathematics"
}
|
5.
-2*y**3*(y + 1)*(y + 3)/9
Let g(d) be the third derivative of -16*d**2 - 1/70*d**6 - 13/490*d**7 + 0*d**3 + 1/35*d**5 + 0 - 5/784*d**8 + 0*d**4 + 0*d. Determine q so that g(q) = 0.
-2, -1, 0, 2/5
Let r(w) = -2*w + 36. Let j be r(14). Suppose 12*v = j*v + 12. Factor 2/3*i**4 + 0*i - 2/3*i**v + 0 - 4/3*i**2.
2*i**2*(i - 2)*(i + 1)/3
Let i(k) be the second derivative of -7*k**5/80 + 19*k**4/48 - k**3/3 - k**2/2 + 73*k. Factor i(b).
-(b - 2)*(b - 1)*(7*b + 2)/4
Let l(y) = y**3 - 24*y**2 - 26*y + 28. Let f be l(25). Solve 15 + 221*w**3 + 275*w**2 - 140*w + 36*w**3 - 7*w**f = 0.
-3/2, 1/5
Determine l so that 2*l - l - 4*l + 18 - l**2 + 0*l = 0.
-6, 3
Let a(m) be the first derivative of -m**5/12 - 5*m**4/6 - 10*m**3/3 + 7*m**2/2 - 11. Let d(j) be the second derivative of a(j). Suppose d(b) = 0. What is b?
-2
Let 2/9*m**2 + 32/9*m + 0 = 0. Calculate m.
-16, 0
Find f such that 16/5*f**2 - 20 + 2/5*f**3 + 2*f = 0.
-5, 2
Suppose -5*i = 3*a - 529, -706 = -4*a - 4*i - 6. Suppose 0*z + z + 2*x - a = 0, -2*z + 366 = -x. Factor -z - 2*g**2 + 181 + 6*g.
-2*g*(g - 3)
Let a(m) be the first derivative of 3*m**5/5 - 9*m**4/4 + 3*m**3 - 3*m**2/2 - 59. Find y, given that a(y) = 0.
0, 1
Let s(j) be the second derivative of 0 - 29/3*j**3 + 6*j**2 + 14/3*j**4 + 16*j. Let s(r) = 0. Calculate r.
2/7, 3/4
Let q be (-6 - -16) + 0 + -4. Let n(z) be the third derivative of 0 - 1/15*z**3 + 1/150*z**5 - 7*z**2 + 0*z - 1/300*z**q + 1/60*z**4. Find r such that n(r) = 0.
-1, 1
Let j be ((-3)/(-7))/((-126)/(-588)). Let d(n) be the second derivative of -12*n + 1/24*n**4 + 0 + 0*n**j - 1/12*n**3. Let d(k) = 0. What is k?
0, 1
Let j be (42/(-8))/(27/576). Let m be ((j/(-40))/7)/(1/5). Suppose m + 0*z - 1/2*z**2 = 0. Calculate z.
-2, 2
Solve 28/3 - 50/3*k + 62/7*k**2 + 2/21*k**4 - 34/21*k**3 = 0 for k.
1, 2, 7
Let l(h) be the second derivative of 5*h**8/336 - h**6/8 - h**5/6 - 6*h**2 + 11*h. Let j(d) be the first derivative of l(d). Factor j(w).
5*w**2*(w - 2)*(w + 1)**2
Let m = 1808/7 + -258. Let w = m - 5/42. Factor w*f**2 - 1/3*f + 0.
f*(f - 2)/6
Let k(a) be the third derivative of a**6/140 - 17*a**5/140 - 29*a**4/56 - 5*a**3/7 + 4*a**2 - 3. Factor k(b).
3*(b - 10)*(b + 1)*(2*b + 1)/7
Let h(a) be the third derivative of 23*a**7/420 + a**6/5 - 19*a**5/120 - a**4 - a**3/3 - 82*a**2 - 2*a. Suppose h(m) = 0. What is m?
-2, -1, -2/23, 1
Suppose 0 = -11*d + 30 + 25. Factor -5 + 3 + d*s**2 + 0*s + 10*s - 13.
5*(s - 1)*(s + 3)
What is p in -40/3*p**4 + 4/3*p**5 - 232/3*p**3 + 64/3*p**2 + 236*p - 168 = 0?
-3, 1, 14
Let r be (3/9)/(1/66). What is j in 197 + r + 3*j**2 + 54*j + 24 = 0?
-9
Let d(h) = -h**3 + 7*h**2 + 9*h - 5. Let w be d(8). Suppose -9 - w = -2*j. Factor -j - 16*a - 5*a**2 - 26 + 3*a**2.
-2*(a + 4)**2
Let x(f) be the third derivative of f**5/330 - 25*f**4/66 + 625*f**3/33 - f**2 + 1. Factor x(b).
2*(b - 25)**2/11
Factor -6*m**4 - 10*m**2 + 37 + 17*m**3 + 8 - 45.
-m**2*(m - 2)*(6*m - 5)
Let d = -575/77 - -597/77. Factor 0 - 8/7*z**2 - 8/7*z + 2/7*z**4 + d*z**3.
2*z*(z - 2)*(z + 1)*(z + 2)/7
Let a(p) be the second derivative of -1/6*p**3 + 5/24*p**4 + 30*p + 0 - 3/4*p**2. Factor a(r).
(r - 1)*(5*r + 3)/2
Let v(x) = 3*x**3 + 127*x**2 + 2017*x + 10125. Let h(k) = 2*k**3 + 85*k**2 + 1345*k + 6750. Let l(a) = -8*h(a) + 5*v(a). Solve l(s) = 0.
-15
Let p(f) be the third derivative of 0*f - 1/280*f**6 + 1/56*f**4 + 5*f**2 + 1/7*f**3 + 1/490*f**7 - 3/140*f**5 + 0. Factor p(v).
3*(v - 2)*(v - 1)*(v + 1)**2/7
Let a(l) = -65*l + 1045. Let u be a(16). Let r(x) be the third derivative of 19/96*x**4 - 1/4*x**3 + 0*x + 7/240*x**u - 3*x**2 + 0. Factor r(v).
(v + 3)*(7*v - 2)/4
Let s(t) be the second derivative of 3*t**5/20 - 7*t**3/2 - 9*t**2 + 2*t - 174. Factor s(y).
3*(y - 3)*(y + 1)*(y + 2)
Let s(k) be the first derivative of -1/8*k**4 + 0*k**2 - 3 - 1/3*k**3 + 0*k. Find p such that s(p) = 0.
-2, 0
Let v be 5 - 4 - -1*87/(-90). Let x(y) be the second derivative of 2*y + 0 - v*y**5 + 1/45*y**6 + 1/63*y**7 - 1/18*y**4 + 0*y**2 + 0*y**3. Factor x(p).
2*p**2*(p - 1)*(p + 1)**2/3
Factor 0 + 200/7*h**3 + 0*h + 550/7*h**4 - 8/7*h**2.
2*h**2*(5*h + 2)*(55*h - 2)/7
Let v(l) be the third derivative of l**5/15 - 44*l**4/3 + 3872*l**3/3 - l**2 + 1. Determine w, given that v(w) = 0.
44
Let t(g) be the first derivative of -3*g**4/8 - 7*g**3 - 75*g**2/4 - 18*g + 2. Factor t(r).
-3*(r + 1)**2*(r + 12)/2
Let m(y) be the second derivative of -1/60*y**5 - 5/72*y**4 - 1/9*y**3 + 0 + 10*y - 1/12*y**2. Suppose m(l) = 0. What is l?
-1, -1/2
Let k(i) = i**3 + 14*i**2 + 22*i + 17. Let a be k(-10). Let d = a + -387/2. Factor -s + 0 - d*s**2.
-s*(7*s + 2)/2
Suppose -36*u**4 - 16 + 47*u**2 + 46*u + 5*u**2 - 70*u + 10*u**5 + 14*u**3 = 0. What is u?
-1, -2/5, 1, 2
Let z(o) = 385*o**5 + 205*o**4 - 180*o**3 + 60*o**2 + 20*o + 20. Let i(d) = -d**3 + 2*d**2 + d + 1. Let x(v) = 20*i(v) - z(v). Let x(q) = 0. Calculate q.
-1, 0, 2/11, 2/7
Let d(k) be the third derivative of k**6/30 - k**5/5 + k**4/3 - 33*k**2 - 3*k. Factor d(n).
4*n*(n - 2)*(n - 1)
Let n(f) be the first derivative of f**6/45 + 2*f**5/25 - f**4/30 - 2*f**3/15 - 83. Find y such that n(y) = 0.
-3, -1, 0, 1
Let y(w) be the first derivative of w**3/9 + 29*w**2/6 + 703. Determine c, given that y(c) = 0.
-29, 0
Let t be -2 + -3 - (-102)/16. Find r such that 1/4 + 11/8*r**3 + 7/8*r**2 - 9/8*r**4 - t*r = 0.
-1, 2/9, 1
Let h(g) be the third derivative of g**8/30240 - g**7/1890 + g**5/6 + 24*g**2. Let x(d) be the third derivative of h(d). What is n in x(n) = 0?
0, 4
Let g(m) = -10 - 3*m + 8 - m**2 - 34 - 10*m. Let v be g(-8). Let 3*t - 5*t**2 + 7/3*t**3 - 1/3*t**v + 0 = 0. What is t?
0, 1, 3
Let g be (-9)/6*40/(-15). Factor -64 - 63*w**4 + 64*w + 37*w**g + 30*w**4 - 16*w**3.
4*(w - 2)**3*(w + 2)
Let x(o) be the first derivative of o**9/4536 + o**8/2520 - o**7/1260 - o**6/540 + 13*o**3/3 - 2. Let y(w) be the third derivative of x(w). Factor y(r).
2*r**2*(r - 1)*(r + 1)**2/3
Suppose -7*y + 5*y + 6 = -3*x, 4*y - 12 = 0. Let a(j) be the first derivative of -5 - 1/10*j**4 + x*j + 0*j**2 + 0*j**3. Solve a(w) = 0 for w.
0
Let l(j) be the third derivative of 3*j**7/140 - 13*j**6/80 + j**5/30 + 3*j**4/4 - 4*j**3/3 - j**2 + 11*j. Let l(z) = 0. What is z?
-1, 2/3, 4
Let k = -8 - -9. Let n(l) = 4*l**2 - 6 - k + 2 - 8*l**2 - 4*l**3 - 5*l. Let j(u) = -12*u**3 - 12*u**2 - 16*u - 16. Let h(t) = 5*j(t) - 16*n(t). Factor h(b).
4*b**2*(b + 1)
Factor -624/5*d - 1/5*d**3 - 49/5*d**2 - 576/5.
-(d + 1)*(d + 24)**2/5
Factor -5/3 - 2/3*d**3 + 14/3*d - 7/3*d**2.
-(d - 1)*(d + 5)*(2*d - 1)/3
Suppose -77*r + 98 = -28*r. Let i(f) be the second derivative of 1/10*f**5 - 2*f - 1/6*f**3 - 7/24*f**4 + 0 + 0*f**r. Suppose i(d) = 0. Calculate d.
-1/4, 0, 2
Suppose -829*a = -857*a. Factor -4/7*j + a*j**3 + 6/7*j**2 - 2/7*j**4 + 0.
-2*j*(j - 1)**2*(j + 2)/7
Let z(k) = 2*k**3 + 13*k**2 + 7*k + 11. Let o(t) = t**3 + 7*t**2 + 4*t + 6. Suppose 3*v = 4*v + 11. Let r(h) = v*o(h) + 6*z(h). Solve r(a) = 0.
-2, 0, 1
Let j(o) be the third derivative of -7/2*o**3 - 1/140*o**5 + 0*o + 0 - 8*o**2 - 1/4*o**4. Let j(p) = 0. Calculate p.
-7
Let m = 32 + -14. Suppose -5*x + m = t + 3*t, 14 = 3*t + 4*x. Factor -1/8 + 1/8*l**4 - 1/4*l**3 + 1/4*l + 0*l**t.
(l - 1)**3*(l + 1)/8
Let b(g) = 5*g - 6. Let o be b(2). Factor -6*h + 2*h**2 + 2*h**4 + h**3 - o*h**2 + 0*h + 5*h**3.
2*h*(h - 1)*(h + 1)*(h + 3)
Let f = -236 - -121. Let m = f - -117. Factor -6/5*x**m - 3/5*x**3 + 0*x + 0.
-3*x**2*(x + 2)/5
Let f(r) be the first derivative of -5/16*r**4 + r - 17 - 13/12*r**3 - 1/2*r**2. Determine z, given that f(z) = 0.
-2, -1, 2/5
Factor -26*d**3 - 50*d**2 + 16*d**4 - 128 + 7*d**3 - 32*d**3 - 10*d**3 + 224*d - d**5.
-(d - 8)**2*(d - 1)**2*(d + 2)
Let o be (-2)/(-11) - (1071/(-99) + -5). Suppose 2 = 2*m, 12 = 5*s + 18*m - o*m. Factor -4/9 - 2/9*d**s - 2/3*d.
-2*(d + 1)*(d + 2)/9
Determine s, given that 160/3 + 374/5*s**2 - 242/15*s**3 - 112*s = 0.
1, 20/11
Let k(l) be the second derivative of -16/7*l**2 + 3/35*l**5 + 1 - 4/7*l**3 - 15*l + 11/21*l**4. Factor k(d).
4*(d - 1)*(d + 4)*(3*d + 2)/7
Let x(l) be the first derivative of -l**5/180 - l**4/72 + l**3/9 + 6*l**2 - 12. Let v(q) be the second derivative of x(q). Factor v(p).
-(p - 1)*(p + 2)/3
Factor 124/11*j - 2/11*j**2 + 126/11.
-2*(j - 63)*(j + 1)/11
Let -3*p**5 + 46322 + 16485*p*
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{
"pile_set_name": "DM Mathematics"
}
|
= r**3 - 5*r**2 + 3*r - 3. Give o(f).
-7
Let r(t) = -3*t**3 + 12*t**2 - 15*t + 6. Let x(y) = 3*y**3 - 10*y**2 + 12*y - 5. Let f(v) = 3*r(v) + 4*x(v). Give f(2).
12
Let h(m) = m**3 + 842*m**2 - 1592*m**2 + 7 + 747*m**2 + 2*m. Determine h(5).
67
Let n(l) = -l**2 + 12*l - 10. Let p(y) = -13*y - 638. Let v be p(0). Let z be (v/174)/((0 + 1)/(-3)). Calculate n(z).
1
Let g be ((-8)/6)/(5 - (-56)/(-12)). Let z(i) = -2*i**2 - 9*i - 7. Give z(g).
-3
Suppose -770 = -29*b + 158. Let o(g) = -2*g**2 + 6 + 25*g - b*g + 0 - 2. Give o(-5).
-11
Let r = 79 + -214. Let g = -135 - r. Let h(a) = -5*a**3 + 5*a**2 + a - 2. Let y(l) = l**3 - l**2. Let c(j) = -h(j) - 6*y(j). Calculate c(g).
2
Let m(z) = -22*z - 480. Let w(t) = -781*t - 22. Let l be w(0). Give m(l).
4
Let r(z) = 14*z**3 + 28*z**2 + 56*z + 2. Let l(i) = -i**3 - 3*i**2 - 3*i. Let p(o) = -13*l(o) - r(o). Calculate p(9).
7
Let w(c) = 22*c + 22. Let x(a) = 2*a + 2. Let d be (2 - (-18)/(-8)) + (-7256)/32. Let p = -159 - d. Let j(g) = p*x(g) - 6*w(g). What is j(-3)?
-8
Suppose f = 2*f - 1. Let c(k) = f + 1 + 19*k - 20*k. Suppose 25*q - 108 = -2*q. Determine c(q).
-2
Let r(t) be the third derivative of t**5/120 + 5*t**4/12 + 163*t**3/6 + 17*t**2 + 2. Let g(m) be the first derivative of r(m). Give g(-5).
5
Let k(j) be the first derivative of -3*j**2 - 4*j - 161. Give k(-5).
26
Let b(f) = -7*f**3 + 6*f**2 - 7*f + 2. Let r(w) = 6*w**3 - w. Let j(i) = -b(i) - r(i). Calculate j(7).
103
Let s(a) = 9*a**2 - 7*a + 61. Let j(y) = 13*y**2 - 8*y + 77. Let c(o) = -4*j(o) + 5*s(o). Give c(-2).
-25
Let t be ((-4)/6)/((-4)/(-6)). Let p(s) be the third derivative of 7/120*s**6 - 1/24*s**4 + 0 - 1/6*s**3 + 0*s**5 + 24*s**2 + 0*s. Determine p(t).
-7
Let x(m) = 3 - 45*m**2 + 3*m + 2*m + 41*m**2 - m**3. Suppose 4*w = 5*g + 45, 5*g + 4*w - 3*w + 20 = 0. What is x(g)?
3
Let d(c) = -49605*c**3 - 20*c + 7*c**2 - 16 + 49604*c**3 + 4*c**2. Calculate d(9).
-34
Let a(r) = 3*r**3 + 27*r**2 + 19*r + 7. Let x be (6/5)/((-4)/(-10)). Let o(i) = 2*i**3 + 14*i**2 + 9*i + 4. Let u(g) = x*a(g) - 5*o(g). Determine u(12).
1
Let m(l) = 29*l - 902. Let k(q) = 15*q - 500. Let z(x) = -5*k(x) + 3*m(x). Give z(16).
-14
Let g be (3 - (3 + -2))*1. Let n(a) = 7*a**2 + 14*a - 3. Let v(x) = -3*x**2 - 5*x + 1. Let r be (1/(-2))/(24/384). Let t(i) = r*v(i) - 3*n(i). Calculate t(g).
9
Let t(q) = q - 6. Let y(k) = 2*k**2 + 29*k - 71. Let r be y(-22). Suppose 36*f - r = -f. Determine t(f).
1
Suppose -5*f = -3*q + 46, 32*f - 34*f - 10 = -4*q. Let x(r) = 2*r**2 + 21*r + 10. Give x(f).
21
Let z = 146 + -147. Let u(r) be the third derivative of 23*r**5/60 - r**4/12 - r**3/6 - 7*r**2 + 21. What is u(z)?
24
Let w = -785 - -791. Let p(d) = -7*d - 4. Let m(a) = a - 1. Let i(g) = w*m(g) + p(g). Give i(-6).
-4
Let k(z) = z**2 + 9*z - 40. Suppose 12*d - 14*d = 2*h + 28, -2*h - 40 = 3*d. Determine k(d).
-4
Let q be (40/(17 - 9) + -4)/(2/(-24)). Let c(y) = y**2 + 11*y - 26. Determine c(q).
-14
Suppose h - 16 - 19 = 0. Let b(q) = -7*q - q**3 + 7*q**2 - 35 + h. Calculate b(6).
-6
Suppose 5*r = -3*w + 13, -w - 5*r + 25 = 4. Let f be 3 + (-52)/w - 5. Let d be (0/(-2))/(13 - f). Let k(v) = -v**3 - v. What is k(d)?
0
Let x(i) = 47 - i**2 - 41974*i - 43 + 41976*i. Let w(h) = 2*h - 10. Suppose -4*m + 20 = 0, -2 = q - 0*q - 2*m. Let l be w(q). What is x(l)?
-20
Let a(p) = 2*p + 2*p - 5578*p**3 + 11146*p**3 - 10*p**2 - 5569*p**3 - 3*p. Suppose 3*z - 4 = -34. Calculate a(z).
-10
Let a = -115 - -117. Suppose 3*l + 18*s - 13*s - 28 = 0, -14 = -a*l - s. Let d(h) = h**2 - 2*h + 3. Determine d(l).
27
Let w(o) = -23*o - 4 - 23*o + 47*o + 6. Suppose 9*s - 48 + 12 = 0. Determine w(s).
6
Suppose 3*f - 3*s - 15 = 0, -5*s - 14 = -4. Let a(j) = -7 - 2 + 4*j + 13 - j**2. Calculate a(f).
7
Let p(i) = i**2 + 13*i + 5. Let b(k) = k**3 + 4*k**2 - 10*k - 10. Let a be b(-5). Suppose -13 = 2*v + f + a, -64 = 4*v + 4*f. What is p(v)?
-7
Let u(k) = -2*k**2 - 5*k - 2. Let z(s) = -1. Suppose 2*t + 2*t - 5*f + 48 = 0, 2*f = 8. Let r = t - -9. Let q(l) = r*z(l) - u(l). Determine q(-4).
12
Let f(t) = -t**3 + 6*t**2 + 9*t - 12. Let u be f(6). Let w = u - 40. Let o(d) = 3*d**3 + 5*d**2 - 1 - d**w - 3*d**2 + 0*d**2. What is o(1)?
3
Let u(s) = 7*s**3 - 8*s**2 - 38*s + 91. Let x(n) = 4*n**3 - 4*n**2 - 19*n + 52. Let r(j) = 3*u(j) - 5*x(j). Calculate r(7).
27
Let w(i) = i**2 + 23*i + 53. Let n(b) = -23*b - 89. Let k be n(-3). Calculate w(k).
-7
Let k = -7079 + 7081. Let o(m) be the first derivative of -15 + 7*m - 1/3*m**3 + 5/2*m**k. Give o(5).
7
Suppose -3*z = 4*j - 463, -j + 2*z + 59 = -54. Let x(w) = -5*w + j*w**2 + 111*w**2 - 227*w**2 - 2. Let m(f) = -f**3 + f + 2. Let d be m(2). Calculate x(d).
2
Let w(n) be the first derivative of 7*n + 7/3*n**3 + 1/4*n**4 + 131 + 3*n**2. Determine w(-6).
7
Let x(k) = k - 21. Let n be -12 + 855/72 + (-206)/16. Let g(i) = -i**3 - 5*i**2 + 104*i. Let w be g(n). What is x(w)?
-21
Let z = -4392 - -4400. Let f(t) = 8*t + 9. Determine f(z).
73
Suppose 2*b - 22 = 4*r, -2*r - b - 16 = 3*b. Let y(c) = 505*c**2 + c + 9. Let w(n) = -421*n**2 - 2*n - 8. Let g(o) = -6*w(o) - 5*y(o). Determine g(r).
-3
Let a = -268 - -273. Let c be (-2)/(a + 48/(-9)). Let x(p) = p**3 + 2 - 4*p - 4*p - 5*p**2 + 0*p**3. Give x(c).
-10
Let o = -18287 - -18284. Let k(y) = 3*y**3 - y**2 - 9*y - 7. Give k(o).
-70
Let r be 78/30 - 4/(-10). Let x(s) = -1 + 4*s**r + 2*s**2 + 2*s**3 + 6*s**3 - 4*s**3. Suppose 2*d + 2*a - 2 = 0, -5*d - 5*a = -4*d - 1. Calculate x(d).
9
Let m = 11947 - 11947. Let z(f) be the second derivative of m + 5/6*f**3 - 14*f + 3/2*f**2. Calculate z(-2).
-7
Suppose -55*z = 26*z - 37*z + 396. Let p(w) = w**3 + 8*w**2 - 8*w + 3. Give p(z).
-6
Let z(v) be the second derivative of -v**6/360 - 7*v**5/120 - v**4/12 - 33*v**3/2 - 155*v. Let f(o) be the second derivative of z(o). Give f(-9).
-20
Let p(k) be the second derivative of k**5/10 - k**4/2 - 7*k**3/2 + 15*k**2/2 + 84*k. Let b be p(5). Let j(a) = a**2 - 9*a - 4. What is j(b)?
6
Let x(f) = -f**3 + 109*f**2 - 420*f - 3. Let u be x(4). Let c(t) = t**3 + 3*t**2 - 2*t - 13. Calculate c(u).
-7
Let n(p) = 7*p - 3*p + 6 + 1 - p. Let s(f) = 15*f + 35. Let g(i) = 11*n(i) - 2*s(i). Let t be g(-5). Let h(k) = -k**2 - 5*k + 11. Give h(t).
-13
Suppose 5 = -2*o - 13. Let q(a) = 61*a + 26. Let y(k) = -162*k - 67. Let z(x) = -8*q(x) - 3*y(x). Determine z(o).
11
Let z(h) = 6*h + 8. Let y(o) = 5*o - 36. Let l be y(8). Suppose 0 = -l*p + 5*s - 3*s - 18, 5*s + 9 = p. Determine z(p).
-28
Let w be 2*42/15*(-10)/(-4). Suppose -8 = 3*l - w. Let n(u) = -5 - 12*u**2 + u - 8 + 12 + l*u**2. What is n(1)?
-10
Let i(h) be the second derivative of 11*h**3 + 7*h**2/2 + 729*h. Determine i(0).
7
Let r(a) = a**3 + 11*a**2 - 5*a + 9. Let f(k) = -2*k**3 - 22*k**2 + 9*k - 19. Suppose 147*l = 158*l + 66. Let c(v) = l*f(v) - 13*r(v). What is c(-12)?
9
Let r(c) = 2*c**2 - 20*c - 10. Suppose 0 = -5*h + 5*m - 8*m + 47, -5*h = 4*m - 46. Determine r(h).
-10
Let b be 308/11 - 12 - 13. Let v(n) be the second derivative of 2*n - 7/6*n**b + 0*n**2 + 0. What is v(1)?
-7
Let g(y) = -2*y + 9. Let l = 508 - 562. Let p be 8 - (-3)/(l/(-12))*-3. What is g(p)?
-3
Let h(w) = -w**2 - 20*w + 23. Let o be h(-21). Let c(m) = 5*m**o - 23 - 4*m**2 - 4*m - 4 + 3*m. Suppose -3 = 5*s + 3*u, s + u + 1 = 4*s. Calculate c(s).
-27
Let n(r) = 117*r + 43. Let q(j) = -47*j - 22. Let l(z) = -2*n(z) - 5*q(z). Calculate l(-32).
-8
Let y(i) = 9*i**2 - 7*i - 67. Let b(d) = 10*d**2 - 8*d - 80. Let j(r) = -5*b(r) + 6*y(r). Let s = 56 - 54. Calculate j(s).
10
Let i(p) = 3 + 3*p**2 + 23*p**2 + 3*p + 3 - 27*p**2 + 2. Calculate i(4).
4
Let f(r) = -4 + 770*r + 767*r - 2307*r + 768*r. What is f(-4)?
4
Let i(a) be the first derivative of -2*a - 5*a**2 + 4 + 12*a**2 + 0*a - 9*a**2. Suppose -2*x - 2 = 2*y, 0*y = 2*y + 4*x - 2. Calculate i(y).
10
Let f(c) = -c**2 + 2*c - 1. Let y be (-9 - -15) + (4 - 2). Suppose 0 = 12*n - 28 - y. Give f(n).
-4
Let n(i) be the third derivative of 0*i - 4*i**2 + 5 + 1/3*i**3 + 1/24*i**4. What is n(0)?
2
Suppose 2*d = 2*u - 10, -38*u - 24 = -40*u - 5*d. Let a(v) = -v + 44. Calculate a(u).
37
Let o(w) = -w**3 - 2*w**2 + w - 4. Let u be o(-3). Let m be (26/(-4) - 1)*(-16)/20. Suppose u*f = m*f + 36. Let q(a) = a + 4. What is q(f)?
-5
Suppose c - 2*h - 11 = 0, -673*c + h + 53 = -670*c. Let v(i) = -2*i + 3
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{
"pile_set_name": "DM Mathematics"
}
|
)/24 - (g + (-1030)/(-12)). What is the second smallest value in l, -6/7, -0.1?
-6/7
Let k(s) = -s**3 - 3*s**2 + 6*s - 17. Let p be k(-5). Suppose -p*j - x + 4*x = 0, x = 0. Which is the second biggest value? (a) 0.2 (b) 2/3 (c) 2 (d) j
b
Let d = 2.32 + -3.41. Let x = d - -9.39. Let y = x - 8.1. Which is the third biggest value? (a) y (b) -1 (c) 2/3
b
Let t = -0.045 - 0.195. Let f = t + 0.44. Let p = 463 - 468. Which is the third smallest value? (a) p (b) f (c) 0
b
Let p = -1.5959 + 165.8559. Let g = 166 - p. Let n = -0.26 - g. Which is the third biggest value? (a) -3 (b) -2/7 (c) n
a
Let x = 0.719 - 0.69. Let a = 62.721 - 65.75. Let m = x + a. What is the third smallest value in 3/7, -0.3, m?
3/7
Suppose s - 9 = 5*i - 2, s - 3*i = 7. Let f(p) = p**3 - p**2 + 6*p - 5. Let k be f(1). Which is the second biggest value? (a) -1/4 (b) 5 (c) k (d) s
b
Let d = 0.0559 + 10.7641. Let a = 0.18 + d. Suppose 1668*b = -1664*b + 3320*b - 24. What is the biggest value in a, b, -0.1?
a
Let i = 2821.7 + -2822. Which is the third smallest value? (a) -3/5 (b) i (c) 1/4 (d) 5 (e) 0.3
c
Let x = -0.0012 - -6.3112. Let r = -2.69 - x. Which is the smallest value? (a) 3/8 (b) 3 (c) r (d) 0.3
c
Let u = -9.1 + -2.9. Let q = -11.8 - u. Let d = -58 + 752/13. Which is the second biggest value? (a) d (b) 10 (c) q
c
Let y = -53.3 - -7.3. Let u = y + 46.2. Let f = 4 - 5. Which is the biggest value? (a) f (b) 2 (c) u
b
Let f be (-4)/(2/(-1)) + 3. Suppose w + 0*w - f = -j, 2*w - 2*j = 10. Suppose -b + 11 = -2*z, 2*z + 13 = 2*b + b. What is the second biggest value in w, z, 19?
w
Let n = 3.92 + 0.08. Let g = -6580 - -6585. Which is the smallest value? (a) n (b) g (c) 2/9 (d) 0.5
c
Let j = 13734 - 13753. Which is the second biggest value? (a) j (b) 5 (c) -1/19
c
Let h = 1004 + -1003.6858. Let z = h + -0.0142. Which is the third smallest value? (a) -3 (b) -0.5 (c) z (d) 1
c
Let f be 7832/(-869) + 6 - -3*1. Let l = f - 232/395. Let q be ((-2)/40)/(2/(-5)). Which is the smallest value? (a) 0 (b) l (c) q
b
Let u = 49 + -47. Let s = -13 + 12.7. Let j = 0.3 + s. Which is the second smallest value? (a) j (b) 0.3 (c) u
b
Let o = 3336 + -3335.9. Which is the third smallest value? (a) 3 (b) 1/6 (c) 1 (d) -5 (e) o
b
Let w = 1589 + -1567. Which is the third smallest value? (a) -0.2 (b) w (c) 1.7
b
Let l be 1/6*(-4)/3. Let q be 1480/(-3108) + (-12)/21 + (-2)/7. Which is the second smallest value? (a) l (b) -28 (c) q
c
Let s be 12*(-1)/8*-2. Let x be (-7)/2*(-1560)/(-1092). Which is the biggest value? (a) x (b) 1/15 (c) s
c
Suppose -16*d + 70 - 6 = -16. Which is the biggest value? (a) -30 (b) d (c) -10.2
b
Let p be (-840)/99 + (-50)/275. Let k = p - -128/15. What is the biggest value in k, -5, 2/9?
2/9
Let g = 386.1 - 385.7. What is the third biggest value in 5, g, -8, -1?
-1
Let s = -0.30447 - 10.69553. Which is the smallest value? (a) -67 (b) -2/3 (c) s (d) 0.2
a
Let z = -292/135 - -11/5. Let x = 404 + -403.8. What is the third smallest value in 2/7, 5, z, x?
2/7
Suppose 2*p = -3*p + 20. Let t = 0.2 - 0. Let v = -3.311 - -3.811. Which is the second smallest value? (a) p (b) t (c) v
c
Let d = 0 - -0.2. Let q = d - 0.18. Let g = 799927.1 - 799927. What is the third biggest value in q, 3, g, 0?
q
Let y = -13377 + 13376.6. Let r = 3 + 1. Which is the fourth biggest value? (a) 3 (b) 2 (c) r (d) y
d
Let m = -154.13 + 153.83. Let r = -22 + 19.2. Let n = 3 + r. Which is the third smallest value? (a) 0.1 (b) n (c) m
b
Suppose 2499*l = 2513*l + 42. What is the third smallest value in 0.02, l, -0.02?
0.02
Let u = 1283871/82 - 15657. Which is the second biggest value? (a) -5 (b) -10 (c) u
a
Let l = 12435 - 12467. What is the fourth smallest value in 2/3, -0.4, 4, 3/5, l?
2/3
Let r = -69632/15 - -4642. Let i = -455/4 - -113. What is the fourth smallest value in i, 2/13, -1/4, r?
2/13
Let j = -0.29 + 0.123. Let x = -9.833 + j. Which is the biggest value? (a) -3 (b) -1 (c) x
b
Let f(g) = -g**2 + g + 7. Let u be f(0). Let q = 19835 + -19832. What is the biggest value in 0, u, -4, q?
u
Let i = 207.97 + -208. Let z = -625 + 629. What is the fourth smallest value in i, 3, z, -4?
z
Let l(h) = 4*h**3 + 4*h**2 - 11*h - 13. Let z be l(-1). What is the biggest value in 0.5, -4/13, z?
0.5
Let p = -19.211 - -13.211. What is the second biggest value in -38, 0.2, p, -4?
-4
Suppose -318*z = -323*z + 30. Let x be (6/3 - 1) + 0. Suppose -3 = 3*m - 4*m. What is the third smallest value in m, x, z?
z
Let o = 0.6193 + 26.3747. Let v = 0.006 + o. Let q = v + -26.6. Which is the smallest value? (a) -0.5 (b) -4 (c) q
b
Let d be 4/((-660)/(-167)) - 1. Let g = -101/165 + d. Let j = -1.0212 + 0.0212. What is the third smallest value in g, j, 0.3, -0.5?
-0.5
Let l = 25914 + -77741/3. Which is the second biggest value? (a) 2 (b) -2/313 (c) 0 (d) -4 (e) l
e
Let n = -88.951 + 89. Let d = n - 0.349. Let m = 4 + -9. Which is the third biggest value? (a) d (b) m (c) -3/7
b
Let x be ((-36)/(-264))/((-5)/(-300)). What is the third smallest value in -1/2, 0, 4, x?
4
Let o = 1598.1 + -1597.7. What is the third smallest value in 2/3, o, -1.46?
2/3
Let s(q) = 2*q**2 + 203*q - 224. Let w be s(-102). What is the smallest value in -1, -2/5, w, 0.07?
w
Let g = -803.9 + 804. Suppose 0 = 2*j - j + 4. Let f be (-2)/j*2/(-11). Which is the second biggest value? (a) g (b) f (c) -4/9
b
Let q = -7.3 - -6.9. Suppose -11*o + 41*o - 150 = 0. What is the third smallest value in q, 4/7, o?
o
Let r = -276 - -278. Suppose v - i + 33 = 4*i, -v + r*i - 21 = 0. Which is the biggest value? (a) -10 (b) 1 (c) v
b
Let l = 3646 + -3645.7. What is the biggest value in -214/5, 0, l?
l
Let g = 7.6 - 8.03. Let l = g - 5.57. Let p = 25 - 30. Which is the biggest value? (a) p (b) 1/5 (c) l
b
Let p = -182.843 + 183. Which is the third smallest value? (a) 1 (b) -0.04 (c) p
a
Let n = -792.2 + 792.6. Which is the second smallest value? (a) 14 (b) n (c) -6 (d) -4
d
Let t = -4 + 1. Let v = -0.7 - -0.6. Let u = 5572 - 5570. Which is the fourth biggest value? (a) u (b) 0.2 (c) t (d) v
c
Let h = 35696 - 321268/9. Which is the third smallest value? (a) 879 (b) h (c) -2
a
Let j = -19975 + 79911/4. Which is the third smallest value? (a) j (b) -2/5 (c) -3/2
a
Let i = -15425 + 15426. What is the fifth smallest value in 4/5, 0, 2/13, i, 1/519?
i
Let g = -157.798 - -158. Let t = g - 0.202. Which is the second biggest value? (a) t (b) -0.1 (c) 0.4 (d) 4
c
Let k = -174 + 175.54. Let i = k - -1.46. Which is the fourth biggest value? (a) 0.1 (b) -0.1 (c) i (d) -0.11
d
Let d = 2/9 - 8/9. Let u be (-78)/33 + 1 + 1. Let s = -58/99 - u. What is the second biggest value in s, d, -7?
d
Let h = -43959 - -131881/3. Let m be 1/(-4) + (-38)/8. Let y(k) = -k**2 - 5*k + 3. Let z be y(m). Which is the smallest value? (a) h (b) 4/7 (c) z
b
Let t = -236 - -238. Suppose 0 = 5*v + t*y + 30, 4*y = 2*y - 10. What is the smallest value in -3, v, -0.03, 2/11?
v
Let w be (-2)/3*(27/2)/(-3). Let y be (w - 2)/(-3 - (-20)/6). Which is the third smallest value? (a) y (b) 4/3 (c) -16
a
Let n be (4/(-20))/(2/((-20)/7)). Let x = -112 - -62. Let v = x - -45. What is the second smallest value in n, v, 0.1, 3?
0.1
Let h = 4.3 + 186.7. Let m = h - 190.5. What is the biggest value in 4, m, 15, -2/7?
15
Let s(t) = -t**3 - 4*t**2 - 3*t - 4. Let i be s(-4). Let d = i - 6. Let x = 23032 + -23035. Which is the biggest value? (a) x (b) d (c) 0.7
b
Let w = -3.01 + 0.01. Let k = -3.2 - w. Let c = -318.3 - -318.6. What is the third smallest value in -2/9, -3/5, k, c?
k
Let l be ((-2)/(-12))/((-5)/(-6)). Let r be 1 + 6 - (2 - -2). Suppose 5*d - 2 = r*k - 11, 4*d = -12. What is the third smallest value in k, l, -2/7?
l
Let q(g) = 23*g - 3. Let f be q(1). Let w be (f/(-8) + 3)*1/2. Let v = 10.8 - 11. Which is the fourth biggest value? (a) 0.1 (b) 0 (c) w (d) v
d
Let h = -43 - -43. Let g(z) = 2*z + h*z + 1 + 2 - z. Let f be g(0). Which is the second smallest value? (a) f (b) 1/7 (c) 2/7
c
Let t = 82.2 + -82.4424. Let r = t + 0.0424. Let l = 3 - 4. Which is the biggest value? (a) -0.7 (b) l (c) r (d) 0.2
d
Suppose 47*b + 25*b = -360. Let c = 0.2 - 0. What is the biggest value in b, 3, c?
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the nearest to -2/11 in d, c, 5?
c
Let f = -21.3 - -19.2. Which is the nearest to 0? (a) f (b) 1 (c) -2
b
Let v = 0.4635 + -0.0635. Which is the nearest to 0.1? (a) -3 (b) 4 (c) v
c
Let j = -1.09 - 104.91. Let k = 81.9 + j. Let d = 24 + k. What is the closest to d in -5, -1, 3/5?
3/5
Let z = 87/35 - 11/5. What is the closest to z in -5, -1/7, -3/14, 2/7?
2/7
Let l = -9.2 - -11.2. What is the closest to 0.2 in 5/6, -4, l?
5/6
Let s = -14.4 - -14. Let x = -70 + 73. What is the nearest to s in x, -0.3, -2/3?
-0.3
Let y = 5/63 + -4/21. Let k = 7.7 - 4.7. What is the closest to -2/7 in y, k, -4?
y
Let l = 720 + -719.43. Which is the nearest to 0? (a) -4 (b) l (c) 0
c
Let x = 15 + -5. Suppose 0 = -2*l + 7*l - x. Let u be (5/l)/((-1)/2). What is the nearest to 1/3 in u, -0.2, 2/9?
2/9
Let a be (-2)/23 - 3840/19320. What is the closest to a in 3, 2, 0.3, -5?
0.3
Let t = -0.2 - 0. Let r = 1 - -1. Let n = -16.467 + 11.467. Which is the nearest to -2/7? (a) r (b) t (c) n
b
Let t = -0.25 + 30.25. Let k = 29 - t. Let d = -1.98 + 2. Which is the nearest to d? (a) k (b) 1 (c) -0.4
c
Let o be (2 - 1)*(-6)/10. Let w = -223 - -222.9. Let u be (1/(-12))/(5/10). Which is the closest to w? (a) u (b) 1/6 (c) o
a
Let f = 12 - 14. Let b = 4 - 0. Let a = 137/2 - 69. What is the closest to a in f, 5, b?
f
Let l = 2012 + -2007. Which is the closest to 5? (a) l (b) 3 (c) -0.4 (d) 0.3
a
Let m = 1657 - 6625/4. Which is the nearest to -0.1? (a) -0.2 (b) -5 (c) 0.016 (d) m
a
Let g = 0.15 - 0.25. What is the nearest to 1 in 1, 2, g?
1
Let h = -1557.4 - -1557. Which is the closest to -0.2? (a) -7 (b) 1/3 (c) -4 (d) h
d
Let l = 13 - 11. Let r = -1.4 + l. Let q = r + -0.1. Which is the nearest to 1? (a) 1/3 (b) -0.5 (c) q
c
Let q = -395 + 396. Which is the nearest to 13? (a) q (b) 2/15 (c) 4
c
Let w = 22.2 + -22. Let g = 3.16 - 0.16. Which is the nearest to g? (a) -3 (b) 2 (c) w
b
Let f be (6/20)/(3/6)*5. Suppose 4*t - 4 = f*g, -4*g = -3*t - 3 - 1. Which is the closest to g? (a) -3/5 (b) -0.5 (c) 5
c
Let a be -2 - -1 - 98/(-70). Let u = 5 + -3. What is the nearest to 1 in u, a, -5?
a
Suppose -2*j = -6 + 4. Let l be 8/(-1*2/j). What is the nearest to -1/4 in 0, 2/11, l?
0
Let p = 237 - 232. Suppose 0 = o - 0*o - 1. Let b be (0/(-4))/(-1 - o). What is the nearest to b in 1, p, -0.2?
-0.2
Let n(q) = q. Let y be n(5). Suppose -y = 10*w + 5. Which is the closest to w? (a) -0.5 (b) 1 (c) -6
a
Let j = -102 - -101.9. Let f be (4/30)/((-16)/20). Which is the closest to 0? (a) j (b) 0.5 (c) f
a
Let g = -207 - -2693/13. Let w(q) = 390*q + 1947. Let j be w(-5). Which is the nearest to 2? (a) 0 (b) j (c) g
c
Let x = 1458 + -1462. What is the nearest to x in 1/2, 0.02, 0.08?
0.02
Let m be (2/(-20))/(2/(-15)). Let r = 150.006 + -148. Let y = r - 0.006. What is the closest to y in m, -0.3, -5?
m
Suppose -2*f + 4*f = 6. Suppose 2*y - 4 = -0*y. Let m be (-44)/(-165) - y/(-6). What is the nearest to 0.1 in 0, m, f?
0
Let h = -221.93 + 223. Let v = -0.07 + h. Let f = 0.05 + -0.35. Which is the nearest to v? (a) -4 (b) f (c) 2
c
Let v be 4/30 + (-84)/(-45). Suppose 0 = 2*z + 7 - 1. What is the closest to z in 1/2, v, 3?
1/2
Let j = 1 - 0. Let o = 417 + -417.5. Which is the closest to -1/5? (a) o (b) 4 (c) j
a
Suppose 5*q - 30 = 5*g, -2*q - 2*q + 16 = -2*g. Let u be q + -1 + 8/(-14). Let w = 2.6 - 6.6. Which is the nearest to -2/5? (a) u (b) -3 (c) w
a
Let k be ((-2)/(-42))/((-15)/(-9) + -2). Let m = -386/5 + 77. Which is the closest to k? (a) 3 (b) m (c) -5
b
Suppose 1 = 392*b - 391*b. Let a = -0.3 + 0.2. What is the closest to a in b, 4, -3/2?
b
Let f = 77 - 47. Let y = f - 29.9. Let t = 3.7 + -2.7. Which is the closest to t? (a) -1/2 (b) y (c) 0.01
b
Let c = 1.5 - 1.4. Let j = c + 0.9. Let w be (-2)/(-12)*54/12. What is the closest to j in 3, -2, w?
w
Let j = -1 - -1.3. Let h = 0.2 - j. Let g = 3 - 3. What is the closest to g in -4/5, h, -5?
h
Let a = 1261.8 + -1262. Let p be 4/18 - 25/(-9). What is the nearest to p in 2, -5, a?
2
Let n be -9 - -76 - (-2)/2. Suppose -4*s + 3*w - w - n = 0, -2*s = w + 42. Let b = s + 18. What is the closest to 1 in -3/4, b, -0.2?
-0.2
Let o = -2.406 + -0.014. Let t = -0.02 - o. Let n = t - -0.6. Which is the nearest to -3? (a) -5 (b) -2/15 (c) n
a
Let n = 11.81 + -11.2. Let h = -0.51 + n. Let i = -1 + -2. Which is the closest to h? (a) 2/7 (b) i (c) 4
a
Suppose -3 - 5 = -4*r, 4*r = 2*z + 10. Which is the closest to 2/5? (a) 1 (b) -0.4 (c) z
a
Let o = 761/8 - 95. Which is the closest to 0.1? (a) 0.1 (b) -54 (c) o
a
Let h be (3 - 266/21) + 11. What is the closest to -1/2 in h, -0.4, 0.1, -2/7?
-0.4
Let z = -6484/13 + 499. Let o = -7/26 - z. What is the closest to 0 in o, 1/12, -4?
1/12
Let n = 0.061 + -0.061. What is the closest to n in -0.9, 2, 3?
-0.9
Let p = 0.81 + -1.81. Which is the nearest to 0? (a) 68 (b) p (c) -3/2
b
Let h be 5/(-3)*(-4 - 5). Which is the closest to 0? (a) h (b) -3 (c) -2
c
Let i = 14/9 + -11/9. Let k(s) = s**2 + 7*s - 4. Let v be k(-7). Let a be ((-21)/(-98))/((-3)/v). What is the closest to -1/4 in a, i, -5?
a
Let o be (-10)/22*(-1)/10*4. What is the nearest to -1/3 in -13, o, -3/2?
o
Let s = -723 + 773. What is the closest to s in -2, -1, 1, 0.3?
1
Suppose 3*u - 2*u + 99 = 0. Let m = 44 + u. Let l be (-155)/m - (-3)/(-1). What is the nearest to -1 in 0.4, -0.4, l?
-0.4
Let k = -386240263/672 + 574762. Let p = k - -1/96. Suppose 29 - 31 = -2*u. Which is the nearest to u? (a) 0.2 (b) -5 (c) p
a
Let g = -2803/3 - -932. Which is the nearest to -0.1? (a) 0 (b) g (c) -5 (d) 1
a
Let w = -4772/5 - -954. What is the nearest to 2/7 in w, -1, -0.5, 22?
w
Let n = 0.3 + -2.3. Let u = -24/5 + 53/10. Which is the closest to u? (a) n (b) 1 (c) -1
b
Let k be (-5)/2*((-52)/(-4) + -11). Which is the nearest to -2/9? (a) 0.33 (b) -3 (c) 0.3 (d) k
c
Let y = 22/115 + 1/115. Which is the closest to -1? (a) y (b) -0.19 (c) 3
b
Let o = -462/5 - -92. Let r = -3 + 2.8. Let j be 8 + (1260/32)/(-5). Which is the nearest to -0.1? (a) o (b) r (c) j
b
Let j = -0.173 + 0.133. Let s = 6 - 2. What is the nearest to 2 in s, 1, j?
1
Let z = -16 + -9. Let k be 9/(-3) + z/(-10). Let s = 0.5 - 0.4. Which is the closest to s? (a) 0.2 (b) k (c) -2
a
Let i = -9 - -4. Let v = 8/21 - 82/105. Which is the nearest to v? (a) -2 (b) i (c) 1
c
Let m = 3.6 + -0.6. Let g = m + -3. Let v = 0.58 - 4.58. Which is the nearest to -0.2? (a) 3 (b) g (c) v
b
Let o = 145.08 + -145. Which is the closest to 2? (a) 1 (b) o (c) -3 (d) 2/3
a
Let k = 43 - 29. Let l = 15 - k. Let c = -27 + 27.1. What is the closest to c in -4, -0.5, l?
-0.5
Let j = 1.9414 - -0.0586. Let f = -12/19 - -170/209. What is the nearest to -0.4 in 0, j, f?
0
Let v be (-40)/(-6) + 43 + -50. Which is the nearest to v? (a) 5 (b) 2 (c) -26 (d) -1
d
Let m = -416 + 413. Let r = 3.2 - 3. Which is the nearest to -1? (a) r (b) m (c) -11
a
Let s = -2.05 + 0.05. Let i = 2.04 + s. Suppose 37*a + 18 - 203 = 0. What is the nearest to i in 1, 4, a?
1
Let x = -17.1 + 16. Let g = 43.4 - 45. Let i = g - x. What is the nearest to 1 in 0.5, -0.2, i?
0.5
Suppose -28*k - 740 - 44 = 0. Let a be (-4)/(-16) + 2/(-40). What is the nearest to k in a, -4, 1?
-4
Let f = -11 + 15. Suppose 0 = f*s - 8, 0*s + 1 = -m + s. Let d = 3417 - 3417. What is the closest to m in d, -2/9, 0.3?
0.3
Let v = 24 - 19. Let p = -0.0232 - -0.0532. Which is the closest to p? (a) v (b) 1 (c) -1/5
c
Let s = -0.3378 + 0.2378. Suppose 2*x + 0*f = -3*f + 28, 4*f = -2*x + 32. Let q = x + -5. Which is the nearest to s? (a) -1/3 (b) 2 (c) q
a
Let k be ((-13)/((-65)/(-20)) - -5)/(-1). Which is the closest to 0? (a) 0 (b) -2/9 (c) 0.3 (d) k
a
Let h = 1357.5 - 1357. Let t be (-2)/4 - (-7)/2. What is the nearest to 1/4 in h, 1, t?
h
Let t = 1.41 + -0.02. Let b = t - 0.39. What is the closest to -2/3 in 1/5, b, 2/3?
1/5
Let h = -0.9 + -0.1. Let q = -57 + 55. What is the closest to h in 3, 1, q?
q
Let k = -313 - -318. Suppose 0 = 3*h - 4*h - 2. Let o be h/3*(0 - -1). Which is the nearest to -2/3? (a) o (b) k (c) -1/5
a
Let m = 102.6 - 108. Let v = m + 5.4. What is the closest to v in -3/2, -4/3, -0.3?
-0.3
Let m = -9 - -13. Suppose 51*k - 16*k =
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) -2
c
Which is the nearest to 2/5? (a) 4 (b) 1 (c) -0.5
b
Which is the closest to -7? (a) 2 (b) 3/4 (c) 0.2 (d) -12
d
Which is the nearest to -17? (a) 3 (b) -1/2 (c) 3/5
b
What is the closest to -2 in -2/3, 18, -1/8, -6?
-2/3
What is the nearest to -1/6 in 4/41, -9/5, -1/5?
-1/5
What is the closest to -2/5 in 5, 2, -21?
2
Which is the closest to 1/3? (a) -5 (b) -10 (c) 17 (d) 1/2
d
What is the nearest to -0.1 in -5, -13, 4?
4
Which is the nearest to 1? (a) 2/9 (b) -122 (c) -1
a
What is the nearest to -3 in -2/3, 0.3, -28, -0.5?
-2/3
Which is the nearest to 4? (a) 4 (b) 3 (c) -0.1 (d) -2/11
a
Which is the closest to -0.1? (a) -2/13 (b) 0.2 (c) -321 (d) 2/15
a
What is the nearest to 2 in 2/5, -7/4, 4?
2/5
What is the nearest to 2/39 in 1/4, -0.4, 2/11, 3/4?
2/11
Which is the closest to -1.5? (a) 0.1 (b) 2/11 (c) -2
c
Which is the closest to -1.8? (a) 0.3 (b) -0.3 (c) -0.5
c
Which is the nearest to -1? (a) 361 (b) 5 (c) 0.2 (d) 6
c
Which is the nearest to -19? (a) 1/2 (b) -3 (c) 2 (d) -5
d
What is the closest to -2 in 5, -1, -0.5?
-1
What is the nearest to -52 in -1/13, 1, 0.1?
-1/13
Which is the closest to 1? (a) 15 (b) -0.3 (c) -2/5 (d) -2/11
d
Which is the closest to -0.1? (a) -9 (b) -4/7 (c) -5 (d) 0.3
d
What is the closest to -9 in -0.09, 0.4, -2, -0.2?
-2
What is the closest to 3 in 1/9, 0, 9, 4?
4
Which is the closest to -0.1? (a) -2/3 (b) -0.1 (c) -1
b
Which is the nearest to 340? (a) -1/2 (b) -3 (c) 1/7
c
What is the closest to 0 in -2/15, 1.7, 0, 3?
0
What is the closest to 0 in 10, 0.5, 3, -0.2?
-0.2
Which is the closest to 2/9? (a) 11 (b) -0.1 (c) -3
b
Which is the nearest to -3? (a) -2 (b) 4 (c) 2/37
a
What is the nearest to -0.3 in 4, -50, -0.1, 2/15?
-0.1
What is the nearest to -0.1 in 1, -139, 1/5, 1/4?
1/5
Which is the closest to 1? (a) 3 (b) -0.3 (c) 6/5 (d) 2
c
What is the nearest to -0.4 in -3, -2.5, 1.8?
-2.5
Which is the nearest to 8.2? (a) -0.01 (b) 5/2 (c) 2/11 (d) -2
b
What is the closest to 915 in 5, 0, -1/2?
5
What is the nearest to 0 in -2/7, 1, 0?
0
What is the closest to 5 in 0, 0.4, -9/4?
0.4
What is the closest to -0.15 in -0.15, 2, -4?
-0.15
What is the closest to 5 in -4, 0, 4, 5?
5
What is the nearest to -0.1 in 5, -0.5, -1, -18/17?
-0.5
Which is the closest to 0.1? (a) -1/6 (b) 4 (c) -127 (d) -0.4
a
What is the closest to -2/3 in -1, -0.1, -2/13?
-1
Which is the nearest to -1/2? (a) -218/3 (b) -3/8 (c) 2
b
Which is the nearest to 2/11? (a) -1/6 (b) 0.8 (c) 0 (d) -2/19
c
Which is the closest to -0.1? (a) -5 (b) -4 (c) 39 (d) 0.3
d
What is the closest to -1 in 5, -4, 1.1, 20?
1.1
Which is the nearest to 3/22? (a) 0 (b) -0.4 (c) 9 (d) -3
a
Which is the closest to 1? (a) -8/33 (b) -4 (c) -3
a
Which is the closest to 2/5? (a) -29 (b) -5 (c) 1/3
c
Which is the closest to 5? (a) -1 (b) 3 (c) 98
b
Which is the nearest to -1? (a) 5 (b) -13 (c) 0.3 (d) -6
c
What is the nearest to -2/3 in 2/5, -0.2, 0.5, -50?
-0.2
Which is the closest to -0.1? (a) 1 (b) -2/13 (c) -1/3 (d) -66
b
What is the nearest to -591 in 0.1, 3/5, 3?
0.1
What is the closest to -0.01 in 0.51, -0.1, -4, -0.5?
-0.1
Which is the closest to -0.1? (a) 1 (b) -4 (c) -0.5 (d) -2/139
d
What is the closest to -3/2 in -0.2, 5, 2, -5/4?
-5/4
What is the closest to 0.1 in -9, 3, -0.248?
-0.248
Which is the nearest to 0.1? (a) -20 (b) -11 (c) -0.2 (d) -0.01
d
Which is the nearest to -3? (a) -0.1 (b) 0.2 (c) 18
a
What is the closest to 0.2 in -1, -6, -8?
-1
Which is the closest to -2/5? (a) 3/2 (b) -4 (c) -2/13 (d) -0.4
d
Which is the closest to -0.1? (a) -247 (b) 1/8 (c) -0.4 (d) -1
b
Which is the nearest to 0? (a) 2 (b) 5 (c) 31/7 (d) 1/5
d
What is the closest to -1/3 in -1/3, -45, -5?
-1/3
What is the nearest to -1 in -5, 17, 0, 3/5?
0
Which is the nearest to 1/2? (a) -5 (b) 0.1 (c) 36 (d) -4
b
Which is the closest to 2/3? (a) 0 (b) -0.049 (c) -2/7
a
What is the closest to -0.2 in -0.4, 5, 100, -5?
-0.4
What is the closest to -1 in -2/229, -3, 1/10?
-2/229
What is the closest to -1 in -2/9, 22, 4?
-2/9
Which is the nearest to 1/2? (a) -0.3 (b) 3 (c) -1/6
c
What is the closest to -1.9 in 0.4, 3/2, -1, 2/13?
-1
Which is the nearest to 0? (a) -2 (b) -2/7 (c) -1/7 (d) -4
c
Which is the closest to -0.1? (a) -0.1 (b) 2/5 (c) -3/7 (d) -0.5
a
What is the nearest to -1 in 8/43, 2, 0.2, -0.5?
-0.5
What is the closest to 5 in 27, 2/7, 1?
1
What is the closest to 3/56 in -0.4, -1/10, 4?
-1/10
What is the nearest to -0.01 in 1/5, -0.3, 0, 13?
0
What is the nearest to 1 in 0.5, -1/3, -3, -1/9?
0.5
What is the closest to 3 in -1/3, 0, 5, -3?
5
What is the nearest to 1/2 in -3, 0.24, 0.4, 1/3?
0.4
What is the nearest to 24/13 in -0.2, 2/3, 5?
2/3
Which is the nearest to -2? (a) 0.6 (b) -4 (c) -1
c
Which is the closest to 2/3? (a) -3 (b) 1/7 (c) 4 (d) -1
b
What is the nearest to 9 in 2, -19/5, -4?
2
What is the nearest to 3 in -10, 0, 0.2, -0.5?
0.2
Which is the closest to 0? (a) 0.4 (b) -4 (c) -0.104
c
What is the closest to 4/9 in 2, -26, 0.5?
0.5
What is the nearest to 1 in 2/5, 0.3, -2/7, -0.5?
2/5
Which is the closest to 0.2? (a) 0 (b) 1.8 (c) 3/8 (d) -3/5
c
What is the closest to 0.49 in 1, -16, -1/4, -1?
1
What is the nearest to 0.1 in 0.4, -10, -2/197?
-2/197
Which is the nearest to 0.1? (a) 4 (b) -0.4 (c) -0.26 (d) 0
d
Which is the nearest to -2/211? (a) 1 (b) -1/5 (c) 1/6 (d) -4
c
What is the closest to -1 in -10, 5, 3, -14?
3
What is the nearest to -1 in 66, -1, -1/5?
-1
Which is the nearest to -1/2? (a) -2/3 (b) -3/2 (c) 159 (d) 1/3
a
Which is the nearest to -2/7? (a) 1 (b) 3/8 (c) -6
b
What is the closest to -14 in 4, -7, -1/3, -4?
-7
Which is the closest to 3? (a) 26 (b) -1/3 (c) -2
b
What is the closest to 1 in 1/2, -1, -34, -2/13?
1/2
What is the nearest to 0.2 in 209, -3/22, 5/2?
-3/22
Which is the closest to -16? (a) 0.11 (b) 4 (c) 2 (d) -2/9
d
Which is the closest to 147? (a) -109 (b) 0 (c) 2
c
What is the closest to 0.1 in -28, -0.1, -19?
-0.1
Which is the closest to 1/5? (a) -2/11 (b) 1/2 (c) 2 (d) -2/7
b
What is the nearest to -1 in 2, -0.002, 3?
-0.002
What is the closest to -1 in -1, 0.2, 0.005?
-1
What is the closest to 0.1 in 4, 16/9, 1, -8?
1
Which is the nearest to -0.08? (a) 3/7 (b) 4/7 (c) -1/4 (d) -5/7
c
Which is the nearest to 0.2? (a) -0.1 (b) -0.3 (c) 0
c
Which is the nearest to 0.04? (a) 4/3 (b) 4 (c) -4
a
Which is the closest to 116? (a) -1/4 (b) -4 (c) -1/5
c
Which is the nearest to 0? (a) -2/29 (b) 0.5 (c) -2/3
a
Which is the nearest to 1/2? (a) 2/53 (b) -5 (c) 0
a
What is the closest to 2 in -0.3, -4, 2/7, 1?
1
Which is the closest to 0.01? (a) -4/7 (b) 0.4 (c) -2
b
Which is the nearest to -0.2? (a) 0.04 (b) -2/7 (c) 0.19
b
Which is the closest to 4? (a) 4 (b) -3 (c) -104/19 (d) 0.1
a
Which is the closest to -0.2? (a) 1 (b) -3/5 (c) 4
b
Which is the nearest to -0.2? (a) 5 (b) -6 (c) -3/5 (d) -5
c
What is the closest to 0 in -3, 0.1, 3/37, 0?
0
What is the closest to 0.1 in -0.07, 5, -0.4?
-0.07
Which is the nearest to -1? (a) 1 (b) -0.1 (c) -1 (d) -4
c
What is the closest to 2 in -8, 1, -5?
1
What is the nearest to -0.1 in 5, 2/7, -2, -0.4?
-0.4
What is the closest to 0 in -1, 3/2, -0.5, -3?
-0.5
Which is the closest to -0.2? (a) 4/11 (b) 5/3 (c) 0.5 (d) -2/11
d
What is the closest to 0.2 in -5/4, 1, -0.4, 5/4?
-0.4
What is the closest to -0.3 in 1, 1/4, -0.02, -0.05?
-0.05
Which is the nearest to 1? (a) 1/85 (b) -62 (c) -0.1
a
What is the nearest to 0 in -3, -87, 2, 1?
1
Which is the closest to 2/7? (a) 2 (b) 5 (c) 9/2
a
What is the closest to -0.1 in 109/5, -5, 1/3?
1/3
Which is the nearest to 2/5? (a) -1/7 (b) -1 (c) -0.3 (d) 48
a
What is the closest to -1/5 in 14, 1/3, -0.2?
-0.2
What is the closest to 3 in 21, -2/3, -2, 1?
1
Which is the nearest to 3? (a) 0.1 (b) 2/15 (c) 5 (d) 0.2
c
What is the nearest to -133 in 0.1, 2, -2, -1/8?
-2
Which is the nearest to 0.1? (a) -1 (b) -2 (c) -15
a
Which is the nearest to 0.4? (a) 1 (b) 111 (c) -4
a
Which is the closest to 2/27? (a) -3 (b) 1/6 (c) 1/20
c
Which is the closest to -0.032? (a) 3 (b) 0 (c) -0.1
b
Which is the closest to -57/4?
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Do 99140 and 99141 have the same value?
False
Which is bigger: -45 or -4019/87?
-45
Is -4 > -215989?
True
Is 84056/5 at most as big as 16810?
False
Which is smaller: -4515 or -4646?
-4646
Is 5951/56 not equal to 105?
True
Which is bigger: -0.0343 or -2/79?
-2/79
Which is smaller: 111 or 305?
111
Which is greater: -9700 or -9715?
-9700
Is -399522 > 0.2?
False
Which is smaller: 3036 or -384?
-384
Is -64677 less than -64678?
False
Which is smaller: 0.89 or 1/4?
1/4
Are -0.18 and 5522 nonequal?
True
Which is smaller: 121/3874 or 0?
0
Which is smaller: 29 or 0.0222?
0.0222
Is -2/3 less than or equal to -16.4574?
False
Is 1 less than 1/48612?
False
Which is smaller: -4266 or 311?
-4266
Is 2/5729899 greater than 1?
False
Which is smaller: -1775 or -1749?
-1775
Is 1382134 greater than 9674944/7?
False
Which is smaller: 8 or 0.00389?
0.00389
Is -55/3306 < -1?
False
Which is greater: -227 or 1121?
1121
Which is bigger: 2034 or 2060?
2060
Which is bigger: -33/71846 or 1?
1
Are -31/121333 and 1 unequal?
True
Is -747 equal to -645?
False
Is -10 bigger than -1806/209?
False
Which is bigger: 588 or 784?
784
Is -354 at most -373?
False
Which is smaller: 99271 or 99257?
99257
Which is bigger: -654 or -110?
-110
Do 3812 and 3908 have the same value?
False
Which is greater: -2/704501 or 0?
0
Which is greater: 1401/626 or 3?
3
Which is smaller: 0 or -459/2341?
-459/2341
Which is bigger: -49609/12 or -4135?
-49609/12
Is -2/5 greater than or equal to 239685?
False
Which is greater: 3 or -576/421?
3
Is -1 less than or equal to -10/16849?
True
Which is greater: -1150/273 or -3?
-3
Which is smaller: 81723/41 or 1993?
1993
Is -1/693680 at most as big as 1?
True
Is -2/17623 >= -1?
True
Is 331137/5 less than or equal to 66227?
False
Is 1690 > 1897?
False
Which is greater: -32316 or -32349?
-32316
Is -499 less than -4997/10?
False
Is -1 at least as big as 27/4627?
False
Is -332 at most as big as 198?
True
Is 1 < -2/707431?
False
Is 243179 at most 2/7?
False
Are -95 and 123 equal?
False
Which is bigger: 1 or -9/1348?
1
Is 902 not equal to 9927/11?
True
Do 26 and 117800 have the same value?
False
Is 1/545542 at most as big as -1?
False
Do 0.137 and 1.713 have the same value?
False
Which is smaller: 3/9030344 or 1?
3/9030344
Does -0.0854 = 1/269?
False
Which is greater: 23/27 or 0?
23/27
Which is greater: -2623823 or 0.1?
0.1
Which is smaller: -39 or -17?
-39
Is 1/3 > 120065?
False
Which is smaller: -13074 or -13087?
-13087
Which is smaller: -2.986 or 0.018?
-2.986
Is -1090699 not equal to -1090702?
True
Does -197 = 572?
False
Which is smaller: 112375 or 112371?
112371
Which is smaller: -22224 or -22221?
-22224
Which is smaller: -1523 or -35?
-1523
Is 0 less than -235443?
False
Is 144403 < 144403?
False
Which is bigger: -13611 or -0.2?
-0.2
Is 7783 smaller than 7863?
True
Which is smaller: 1.6 or 37213?
1.6
Is 0 not equal to -63/42610?
True
Which is greater: -1707/2207 or 0?
0
Which is bigger: 794 or -79?
794
Is 829 not equal to 19066/23?
True
Which is smaller: -107522 or 1?
-107522
Is -37718/3 > -12573?
True
Is 20601 bigger than 1.8?
True
Do -2485/1166 and -1 have the same value?
False
Is -110341 < -110341?
False
Are -10885 and 51 non-equal?
True
Which is smaller: -77 or 0.007?
-77
Is 1.2 greater than 25991?
False
Is 18 greater than or equal to 360?
False
Is -1 < -1/132108?
True
Is 301924/3 <= 100640?
False
Which is greater: -142 or -92?
-92
Which is greater: -1605/101 or 0.04?
0.04
Which is greater: 22729/3 or 7575?
22729/3
Is -577606 greater than or equal to -577608?
True
Which is smaller: 13046 or 0?
0
Which is bigger: 0 or -375/12139?
0
Which is smaller: -231600 or -231602?
-231602
Is -1 not equal to 1/756273?
True
Which is smaller: 23070 or 23084?
23070
Is -965 >= -1398?
True
Which is greater: -0.1522 or -3.76?
-0.1522
Is 118700 equal to 118701?
False
Is 158 greater than or equal to 327?
False
Which is smaller: 2/806563 or 0?
0
Is -1766386 not equal to 0?
True
Which is smaller: 0.1108 or 0.092?
0.092
Is 2229 less than 2217?
False
Is 3/1619671 < 0?
False
Which is smaller: -15840 or -15850?
-15850
Is 29 greater than -0.038922?
True
Which is bigger: 12/912133 or 0?
12/912133
Is -8556 at least -8515?
False
Is -139/4673 at least -1?
True
Which is smaller: 61/1674 or -1?
-1
Which is greater: -2 or -31/206?
-31/206
Which is smaller: -48062 or -48055?
-48062
Does -4811/25 = -193?
False
Which is bigger: -0.3 or -814383?
-0.3
Is -1.5 at least -51069?
True
Is 78.22 at least -172?
True
Is -3028201 <= -3028201?
True
Which is bigger: -255047 or -1020185/4?
-1020185/4
Which is smaller: -292 or 22?
-292
Which is smaller: 25/5504 or 1?
25/5504
Is 0 at least as big as 2/18843?
False
Is 1 < -5/12619?
False
Which is smaller: -38/29 or 1?
-38/29
Which is smaller: -345 or -23770/69?
-345
Which is bigger: 333263 or 333264?
333264
Which is smaller: -18 or 1058.5?
-18
Which is greater: -1992/133 or -14?
-14
Are -54 and -3707/70 equal?
False
Which is greater: 312519 or -0.2?
312519
Which is greater: 4024483 or 4024482?
4024483
Which is smaller: 482 or 553?
482
Are -480350/11 and -43669 nonequal?
True
Which is bigger: 0.029 or 3.3?
3.3
Which is greater: 29/137 or 1?
1
Which is smaller: 1 or -2/271025?
-2/271025
Which is bigger: -24870/259 or -95?
-95
Is -1 >= 12/5659?
False
Is 3/3872 <= 14/3?
True
Is -3426 less than or equal to -25?
True
Which is bigger: 8 or 812/111?
8
Which is smaller: -45796 or -2?
-45796
Is 0.1 bigger than -285328?
True
Is 5908 equal to -1?
False
Which is smaller: 1211 or 3/31?
3/31
Which is smaller: -3/5 or -2/5027?
-3/5
Which is greater: -3/8 or 4998?
4998
Which is smaller: -335376/47 or -7136?
-7136
Do 3 and 1896/647 have the same value?
False
Is -0.3 less than -20870?
False
Is -1 less than 5/100976?
True
Is -1006 greater than or equal to -162?
False
Is -29 > 5751?
False
Is -53152 less than or equal to -53151?
True
Which is bigger: 4286 or 107167/25?
107167/25
Which is bigger: -1 or -1/3060033?
-1/3060033
Is 64615 at least as big as 64616?
False
Which is smaller: 2409690/17 or 141745?
141745
Is 4/8251 smaller than 1?
True
Which is smaller: 39 or 7672/193?
39
Is -447588 at least as big as -447589?
True
Which is bigger: -2 or -3028/1507?
-2
Which is smaller: -283 or 0.0028?
-283
Which is bigger: 80175/4 or 20045?
20045
Which is smaller: -3603 or 534?
-3603
Which is smaller: 414 or -51?
-51
Is 18016 > 18016?
False
Is 111977 at least as big as 111978?
False
Is -1265744 at most as big as -1265745?
False
Which is smaller: 35422/7 or 5060?
5060
Which is greater: 1/1947121 or 0?
1/1947121
Which is bigger: 29/82469 or 1?
1
Which is smaller: 9894 or 9887?
9887
Which is smaller: -2383 or -61947/26?
-2383
Which is bigger: -446 or 40/109?
40/109
Which is bigger: 110 or 80?
110
Which is smaller: 10661 or -1/2?
-1/2
Does 219880 = 219880?
True
Is -1 >= 3/4118075?
False
Which is smaller: 0 or 3/160804?
0
Are -71 and -196 non-equal?
True
Is 176907 bigger than 176907?
False
Is 378/10207 less than 0?
False
Is -2/4423809 <= 0?
True
Which is smaller: -307/1789 or -1?
-1
Is -1/3 bigger than 6/711997?
False
Which is greater: 31574 or 31569?
31574
Is -59 greater than 96/61?
False
Which is greater: 35/762 or 1?
1
Which is smaller: 3003/5702 or 0?
0
Is -375232/9 bigger than -41691?
False
Is -19425/11 at least -12?
False
Is 0.5 less than -296240?
False
Which is bigger: -1321 or -1270?
-1270
Does -2 = 5648?
False
Which is smaller: -433523 or -433525?
-433525
Which is bigger: 0.9 or 126851?
126851
Is 1947 >= 1973?
False
Which is smaller: -750 or -799?
-799
Which is smaller: 47/2041 or 1?
47/2041
Which is smaller: -0.05709 or -13/6?
-13/6
Which is smaller: 1/580743 or -1?
-1
Which is bigger: 39 or 1801/48?
39
Are -2 and -367/903 unequal?
True
Which is greater: 125050 or 125051?
125051
Is 0 less than -2/4040763?
False
Which is bigger: 44535 or 44536?
44536
Is -21589 greater than 3/5?
False
Is -115/5186 smaller than -1?
False
Is -800 at least as big as -593?
False
Is 1 < -25/122198?
False
Are 1 and -18/3805 unequal?
True
Is 1 less than or equal to -493640?
False
Which is greater: -120 or 138?
138
Do -191600 and -191599 have different values?
True
Which is smaller: -75961 or -75979?
-75979
Which is bigger: -14 or 4.105?
4.105
Which is bigger: 17790 or 17789?
17790
Which is greater: 8/4345 or 2?
|
{
"pile_set_name": "DM Mathematics"
}
|
ng order.
v, -1/4, -4
Let f(g) = -g**2 - 4*g + 9. Let w be f(2). Suppose 8*t - 6*t = 0. Suppose t*m - 15 = -3*m. Sort -5, 2, m, w in decreasing order.
m, 2, w, -5
Let g(a) = -385*a - 9629. Let j be g(-25). Let i = -0.2 + 0.1. Let s = 0.38 + -0.18. Sort j, i, s in descending order.
s, i, j
Let v(n) = -7*n + 4*n - 20 - 19 + 2*n**2 + 29. Let f be v(3). Sort -29, 5, f, -5 in descending order.
5, f, -5, -29
Let s = -2047 - -1879.3. Sort 0.1, -0.3, -0.5, s in decreasing order.
0.1, -0.3, -0.5, s
Let g = 25 + -21. Let m be 490/(-105) - g/3. Let s = -27 - -22. Sort 0, m, s in descending order.
0, s, m
Suppose 0 = 9*p - 42*p - 132. Let h(n) = -33*n - 132. Let t be h(p). Put 29, -5, 1, t in descending order.
29, 1, t, -5
Let g = -24076 - -24074. Let v = -0.3 + 0.5. Put 1.6, v, -4, g in descending order.
1.6, v, g, -4
Let b(d) = -d**3 - 9*d**2 - 30*d - 273. Let g be b(-9). Sort -4, g, -8.
-8, -4, g
Let p be (-2 + 2)/9 - -8 - 11. Sort 3, p, 2 in descending order.
3, 2, p
Let k(h) = -h**2 - 54*h - 500. Let w be k(-12). Put w, 7, -5, -19 in descending order.
7, w, -5, -19
Suppose -7*v - 149 = -128. Let y be (((-825)/22)/25)/(v/(-8)). Suppose 4 = -s - 3. Sort y, s, 0, 2 in decreasing order.
2, 0, y, s
Let r = 8739/2035 + -189/185. Sort 1/2, 0.4, r.
0.4, 1/2, r
Suppose -1079*w = -1083*w + 28. Let d = -49 - -47. Sort d, -4, w.
-4, d, w
Let g = -7907.2 + 7907. Put g, 1/5, -17 in decreasing order.
1/5, g, -17
Let v = -14428 + 14354. Put -2, v, 5, -3, 1 in decreasing order.
5, 1, -2, -3, v
Let b = 1467 - 1461. Sort b, -3, -5, 25 in descending order.
25, b, -3, -5
Let i = 1463/642 - 12/107. Let m = -79293.2 - -79293. Put -0.5, m, i in decreasing order.
i, m, -0.5
Let q be 2*(2/(-12))/((-39)/351). Suppose 36 = 4*m - 8*m. Suppose 3*f + 7 = 2*x, 5*x - 21 = -f + x. Sort f, q, m.
m, f, q
Let u be (-214)/42 + 12/126. Put -1/2, 0.7, u, -10, -1 in decreasing order.
0.7, -1/2, -1, u, -10
Suppose -4*m + 69*y - 67*y = -14, 4*m + 2*y = 18. Sort 7, -5, -80, m.
-80, -5, m, 7
Suppose -48*a + 63*a = -45. Suppose 3*u + 5*i + 85 = 0, 5*i - 2*i + 15 = 0. Let g = 91 + -96. Put u, g, a in descending order.
a, g, u
Suppose -13*y + 51 = -16*y. Let c(a) = -a**3 + 36*a**2 - 52*a - 542. Let o be c(34). Sort -2, -3, y, o.
y, -3, -2, o
Let q = -71108 + 428123/6. Let i = q + -245. Suppose 0*f - 16 = 2*f. Put i, f, -0.5 in decreasing order.
i, -0.5, f
Let g be (-174)/(-5)*((-3)/3 + -4). Let v = -177 - g. Let s = 3 + -2. Put -1, -4, v, s in descending order.
s, -1, v, -4
Suppose 5*z + 2*m = 15, 2*z = -2*m + 28 - 16. Put -17, z, -21 in increasing order.
-21, -17, z
Let d be 48/(-9)*(4/(-1) + -287). Let a = d - 41906/27. Let l be 11/3 - (-2)/6. Put a, l, 0.1 in ascending order.
a, 0.1, l
Let c(p) = -p**2 - 13*p - 37. Let j be c(-7). Let s be (-3)/(-1)*4/(-16)*-4. Suppose s*f + 3*v = 2*v - 3, -v = -5*f + 3. Sort j, 2, f, 3 in decreasing order.
j, 3, 2, f
Let u = 3.6848 - -0.3152. Let x = 0.7 - -2.3. Let d = -0.2 + -0.3. Sort 2/9, u, x, d.
d, 2/9, x, u
Let w = -5.6517 - -9.6517. Let l = -9 - -5. Put 2/203, l, w in increasing order.
l, 2/203, w
Let z = 2 - 1.5. Let h = 384 - 306. Let s = h - 77.8. Put -1/11, s, z, 4 in increasing order.
-1/11, s, z, 4
Let v(i) = -11*i - 232. Let z be v(-24). Let r be ((-24)/9)/(z/(-12)). Let c = -2 - -2. Sort -4, c, r in descending order.
r, c, -4
Let g(i) = 2*i**2 + 6*i + 1. Let h be g(-4). Let m(r) = -23*r + 1284. Let w be m(56). Sort h, w, 4, 3 in ascending order.
w, 3, 4, h
Suppose g + 10 = -0*g + 2*j, 3*g + 14 = 2*j. Let a be g - (4 + -28) - 1. Suppose -5*i + 16 - a = 0. Sort 1/5, -4, i.
-4, i, 1/5
Let m be (448/6384)/(4/279) + 4/38. Sort 3, 4, m, 9, -3.
-3, 3, 4, m, 9
Let s = 61589/5 + -12318. Put -5, -4, 0.5, -6, s in descending order.
0.5, s, -4, -5, -6
Suppose 7*r + 38 = 283. Let t(h) = h**3 - 18*h**2 + 32*h - 4. Let f be t(16). Sort -1, r, f in descending order.
r, -1, f
Let p = 237.9 + -419.9. Put 2/3, -0.2, p in decreasing order.
2/3, -0.2, p
Suppose 8*u + 16 - 456 = 0. Let w = -69 + u. Let g(a) = -a - 26. Let y be g(w). Put y, -1, -2 in increasing order.
y, -2, -1
Let y = -0.6 + 3.6. Let s = -32.866 - -32. Let t = s - 0.134. Put -0.2, y, t in increasing order.
t, -0.2, y
Let j be 286/(-110) + 4/(-10). Let u be 18/24 + j/48*-4. Let f = -17 + 21. Put 2/15, u, f in descending order.
f, u, 2/15
Let f = -90 - -98. Let w(p) = -p**3 + 9*p**2 - 10*p + 14. Let k be w(f). Sort -5, k, 2, -3.
-5, -3, k, 2
Let p(v) = -v**3 + 7*v**2 + v - 40. Let z be p(5). Suppose -28*b + z = -25*b. Sort -5, b, -17 in ascending order.
-17, -5, b
Let u be (-4)/((-8)/6) + 6. Suppose 0 = -u*i + 4*i + 90. Suppose 27*g + 95 + 277 = 120*g. Put -2, i, g in ascending order.
-2, g, i
Let g = 29.9 - 35.9. Let q be (-27)/28 + (-5)/(-70)*-4. Sort 2, g, q, 0.5.
g, q, 0.5, 2
Let b = 1339.5 + -1294.5. Sort b, -3, -311 in increasing order.
-311, -3, b
Let r be (-13 - -19)*(-64)/12. Let o be (-22)/26 - 8/52. Put 0, r, o in descending order.
0, o, r
Let k(l) = -822*l + 86304. Let y be k(105). Suppose 3 = -a - 0. Sort a, y, 2 in increasing order.
y, a, 2
Let m be 0/(6 + (-11 - -6)). Suppose 3*l - 2*f + 2 = m, 0*f = 3*f - 3. Put -3, -6, -4, l in descending order.
l, -3, -4, -6
Let q = -242 - -241.9. Let p be (5/30)/((-4)/(-18)). Let d = -3.031 + 0.031. Sort p, q, 0.2, d in increasing order.
d, q, 0.2, p
Let c be (-5)/(20/8) + (6 - 1). Let v = 9 - c. Let i be -3*4 + -2 + v. Put 0, -2, i in decreasing order.
0, -2, i
Let c(i) = 173*i**2 + 3458*i - 8. Let f be c(-20). Suppose 5*s = n + 12, 0 = n + s - 2 - 4. Put -1, f, n, 4 in decreasing order.
f, 4, n, -1
Let z = 64 + -65. Let s be ((-2)/6)/((-4)/(-2)). Let f = s - 1/6. Put -0.1, f, z in increasing order.
z, f, -0.1
Let d = -2692 + 18842/7. Sort -0.0259, -3, d in ascending order.
-3, d, -0.0259
Let a = 100 + -50. Suppose a*m = 53*m - 6. Suppose -y = -m*z - 0*y - 7, -2*z - 1 = 5*y. Put -1, 4/5, 5, z in decreasing order.
5, 4/5, -1, z
Suppose 3*t + 6 = -3*g, -t = 63*g - 67*g - 18. Put -1, 1, t, -34 in decreasing order.
t, 1, -1, -34
Suppose -3*x - 497 = 68*x. Suppose 3*a - 35 - 1 = 3*m, -m - 4*a - 22 = 0. Let c be (-4)/m - (-2)/x - -1. Sort -35, c, -3.
-35, -3, c
Suppose -j + 4*l + 12 = -11, 4*l - 32 = -4*j. Let k be (9 - j)/(2 + -1) - 1. Put 0, 4, 3, k in decreasing order.
4, 3, 0, k
Let v(w) = -2*w - 9. Let y be v(-7). Let p = 20 + -55. Let n be (-7)/2*10/p. Put -8, n, y in descending order.
y, n, -8
Let x = 0.58 + -0.28. Let k = 0.72 - x. Let j = k + -3.42. Sort j, -5, -0.5 in increasing order.
-5, j, -0.5
Let x be -1 - (-6800)/(-260) - (-4)/26. Suppose -32*t + 10 = -34*t. Sort x, 0, t in increasing order.
x, t, 0
Let z(u) = 3*u**2 + 11*u + 3. Let s be z(-1). Suppose -5*d = 136 + 24. Put d, 3, s in decreasing order.
3, s, d
Let b = 3 - -128. Let t = b - 131. Sort 6, 3, t in decreasing order.
6, 3, t
Let s = 29.4 + -29. Let h = -2.15 - -2.2. Let c = 235 + -704/3. Sort c, s, -1/7, h.
-1/7, h, c, s
Let v = -13.1133 + 10.1133. Let u(y) = -7*y**2 - y + 1. Suppose -6*l = -l - 5. Let f be u(l). Sort f, v, 2/7 in decreasing order.
2/7, v, f
Let v be (1176/1029)/((-13)/7 + 8/8). Sort -1.45, -6/7, -0.1, v in decreasing order.
-0.1, -6/7, v, -1.45
Let d be ((-40)/(-16) - -5)*2/5. Sort 137, 4, -2, d in increasing order.
-2, d, 4, 137
Let j be 10 - (-108)/18 - 1647. Sort j, -5, -1 in descending order.
-1, -5, j
Let i be (-2)/65 + 2394/(-2470). Put i, -5, 3, -3586 in increasing order.
-3586, -5, i, 3
Suppose -3*u + 3 = 0, 100*v - 99*v - 1 = 2*u. Put 15, 5, v, -7, -1 in decreasing order.
15, 5, v, -1, -7
Suppose 0 = -2*c - 5*i + 10, 0 = i + 20 - 22. Suppose 3*n = -c*n - 3. Sort -6, n, 2.
-6, n, 2
Let i = 0.301 - -304.699. Let j = 310 - i. Sort 1, j, -1/3, 62.
-1/3, 1, j, 62
Let l be (134463/(-140))/((-42)/24). Let f = l - 549. Put -0.3, -2, f, -2/9 in decreasing order.
f, -2/9, -0.3, -2
Let c = -1 + 0.8. Let t be 2/(-6)*(-6)/23. Suppose 0 = -s - 5*i + 11, -s - 10 = -328*i + 326*i. Sort t, s, -0.04, c in increasing order.
s, c, -0.04, t
Let u(f) = -39*f - 38*f - 39*f + 115*f + 12. Let l be (-151)/(-9) + (-2)/(-9). Let q be u(l). Sort 6, -2, q, 0.1 in descending order.
6, 0.1, -2, q
Suppose 0 = -2*i - 2*l - 29 + 13, 2 = -i + 5*l. Let k = -2 - i. Put -4, 18, k in descending order.
18, k, -4
Let b(n) = -3*n - 26. Let v be b(-7). Suppose 193*m - 572 = -1151. Let c = -
|
{
"pile_set_name": "DM Mathematics"
}
|
*3*v*v))/((v/v**8)/(v*v**0*v)) assuming v is positive.
v**(-82/15)
Simplify ((m/(m*(m*m**(2/9))/m))/m**(-1))**(-6)/((m*m**(-1/2)/m)/m**(-4))**37 assuming m is positive.
m**(-805/6)
Simplify (q**(-2/19)/q*q/q**(1/3))**(2/5)/((q*q**0)**(-46/5)*q**(1/8)*q*q*q*q**(-2/5)) assuming q is positive.
q**(14363/2280)
Simplify ((y*y**2*y*y*y)**(-13/7))**(1/13)/((y**0)**(-41/4))**(-12) assuming y is positive.
y**(-6/7)
Simplify ((y**(-3/14)*y*y**7)/(y/((y*y**(-2))/y*y)*y)**(5/6))**(-23/4) assuming y is positive.
y**(-851/28)
Simplify (m/m**21)**6*m**(-17)/(m/m**(-17)) assuming m is positive.
m**(-155)
Simplify ((r**35/r*r**(-47)*r)**(-45))**(-2/3) assuming r is positive.
r**(-360)
Simplify (c**(2/3))**(-8/5)*(c**(-1))**(1/50)*(c*c**(-2)*c)**(-31/5)/(c*c**(-3/7)*c**(-1)) assuming c is positive.
c**(-691/1050)
Simplify (((p**(-2))**45*p**2/(p*p/p**(-9)))**(2/37))**(-36) assuming p is positive.
p**(7128/37)
Simplify (z**(-5)*z*z**(7/2))**(-42)*((z/z**(-3)*z)/(z**7/z))**(1/59) assuming z is positive.
z**(1238/59)
Simplify (((f/(f*f*(f**(-2/5)*f*f*f)/f))**8/(f**(-7)/(f*f*(f**(-6)*f)/f*f)))**48)**33 assuming f is positive.
f**(-133056/5)
Simplify (y**(4/15)*y*y)**32*y/(y/y**(-2/127))*y**(9/4) assuming y is positive.
y**(569729/7620)
Simplify ((f*f**0)/(f/f**(-1/4)))/((f/f**(-3/7))/f*f/((f**(-4/7)/f)/f))*((f**1)**(-1/15))**11 assuming f is positive.
f**(-299/60)
Simplify (g/(g*g**4*g)*g/(g**(-2/9)*g))**14*((g/(g/(g*(g*(g*((g/(g/g**1))/g)/g*g)/g*g)/g*g)*g))/g)**(2/35)*g**0*g*g**(-1/12) assuming g is positive.
g**(-83053/1260)
Simplify (v**9/v**7)**(6/29)*(v**(1/4)/v*v*v/(v/v**(-4/3)))**11 assuming v is positive.
v**(-4003/348)
Simplify ((((o*(o**(-2/5)/o)/o*o)**(1/26))**3)**10)**(-3/13) assuming o is positive.
o**(18/169)
Simplify (w**7/w*w*w*w**(-2)*w)**15/((w/(w/(w/(w*(w**1/w)/w))))**(-31)*w**(3/2)/(((w/(w/(w/(w*w**(2/5)))))/w)/w)) assuming w is positive.
w**(1321/10)
Simplify (i**(4/7)/i**(-1/2))**(-5/4)/(i**(-2)*i*(i**2/i)/i*(i/(i**(2/7)*i))**(-35)) assuming i is positive.
i**(-579/56)
Simplify (x**(9/2)/(x/x**24)*x**(-10)*x/(x*x*x**(-5)*x))**(-2/11) assuming x is positive.
x**(-41/11)
Simplify (((y/((y*y**(2/11)*y)/y))/y**(-2))/(y**(-4/13)/((y/(y/(((y/(((y*y**1)/y)/y))/y*y)/y)))/y*y)))**(-5/2) assuming y is positive.
y**(-760/143)
Simplify (((r/r**2)/r*r*r**(2/13))/(r**3)**(3/14))**(-15) assuming r is positive.
r**(4065/182)
Simplify (s**(2/7)/s*s**3*s/((s**3*s)/s)*s**0)/((s*s*s**(5/2)*s*s*s)/(s*s/(s/s**(-5))))**(-18) assuming s is positive.
s**(1451/7)
Simplify ((t*t**(12/11))/t)**(-15)*t**(1/11)/t*t*t**42 assuming t is positive.
t**(283/11)
Simplify ((d**8*d)/d**(-11)*d**(-3)*(d*d*(d/(d/(d/(d/d**(-1/4)))))/d*d*d)/d*d)**37 assuming d is positive.
d**(2923/4)
Simplify ((z*z*z*z*z*z*z*z*z**(-2/5)/z*z*z*z*z*z*z)/z)**12/(z**(2/9)*z*z**2)*z/z**(-6)*z*z**(-3)*(z**(1/2))**40 assuming z is positive.
z**(7244/45)
Simplify ((l/(l**(2/3)/l))/(l*l/(l*l*(l**(-2/17)*l*l)/l)))**4*(l**(-1)*l*l)**(35/3)*(l/((l/(l*l**(-3))*l)/l))/(l*l/l**(3/7)*l) assuming l is positive.
l**(1899/119)
Simplify (b**(-1/8)*b*b**(-2/17))**(-2/133)/((b/(b*b*b**(-2/7)))**(1/14))**(33/5) assuming b is positive.
b**(20597/63308)
Simplify (b**(-1/11)/b**(1/2))/(((b**6/b)/b*b*b)/b*b**(-8)*b)*((b*b**1)**41)**(2/13) assuming b is positive.
b**(4011/286)
Simplify ((y**(-1))**(-5/6)/((y*y*y/(y/(y/(((y**(-1/4)/y)/y)/y))))/y*y*y*y*y**(-2/7)))/((y/y**(-4)*y*y**(4/3))/(y**0/y**(-2/13))) assuming y is positive.
y**(-5209/364)
Simplify (n/((n/n**(6/25))/n))**(-45)*(n**(2/51)/n)/(n**(23/6)/n) assuming n is positive.
n**(-10131/170)
Simplify (o/(o**5/o*o)*o/o**(-1/7)*(o*(o**(2/7)/o)/o)**49)/((o**1)**(-10))**(-43) assuming o is positive.
o**(-3275/7)
Simplify ((x/(x**(-36)*x)*x*(x**(1/11)*x)/x*x*x)**(6/25))**(-1/7) assuming x is positive.
x**(-516/385)
Simplify (r/r**(-1/3)*r**(1/2)*(r/(r/(r**(-3/11)/r))*r)**9)**14 assuming r is positive.
r**(-287/33)
Simplify (i*i**0*i**(-2))/(i**(-2/7))**17*(i/(i/(i**(1/5)*i)))/(i**(-3)/i)*i/(i*i*i**1*i*i*i*i)*i**(1/6) assuming i is positive.
i**(677/210)
Simplify (k/k**(-3/7)*k/(k/(k*k**2*k)))**(-1)/((k**(-1/4)/k**(-3))/(k*k**(-4/3)*(k**3*k)/k)) assuming k is positive.
k**(-463/84)
Simplify (y**(-12)/y**(-1/9)*(y*y**(-9)*y)/(y/(y*(y*y**2)/y)))**32 assuming y is positive.
y**(-4864/9)
Simplify ((y*y/(y/y**15))/(y/y**(2/31))*(y*y*(y/(y/y**(1/2)))/y)/(y/(y/(y**(-11)*y))*y*y))**(-25/6) assuming y is positive.
y**(-38075/372)
Simplify (((x*x*x*x/((x*x**(-31)/x*x)/x)*x*x*x)/x)**(-2/79)/((x**(-1/19)/x)/x)**(4/5))**(-28) assuming x is positive.
x**(-148232/7505)
Simplify (q*(q/(q**(-2/3)/q)*q)/q)**(-26)/((q*q*q/q**(-1))/q)**11*(q*(q**(-5)*q)/q*q*q*q)/q**(-5)*q**(-7)/(q/(q/(q/(q**(-2/7)*q)))) assuming q is positive.
q**(-2764/21)
Simplify (m**(2/13)*m/m**(-2/7))/(m/m**(3/5)*m/(((m*m/((m/m**(2/7))/m)*m*m)/m)/m))*((m**(-1))**(-2/65))**(6/35) assuming m is positive.
m**(5302/2275)
Simplify ((k*k**(-1/5)/k*k)/(k*k*k**(-2/19)*k*k*k)*k**7/(k/k**(-3/8)))/(((k/k**(-1))/(k/(k/(k*k**4))*k*k*k))/((k*k**(3/7)*k)/k**(3/4))) assuming k is positive.
k**(48991/5320)
Simplify (((w*((w/w**(8/13))/w)/w*w*w/w**27)**(1/11))**(3/5))**(12/13) assuming w is positive.
w**(-11988/9295)
Simplify (l/(l*(l/l**(2/9))/l*l))/(l/((l/l**(1/6))/l))*l**(1/3)*(l*l**(-3/4))/l*(l/((l**7*l*l)/l)*l**(-3/11)/l)**(-11/5) assuming l is positive.
l**(2851/180)
Simplify (a**8/(a/(a*a**(-4/9))))**(-1/8)/((a*a*a**1)**(3/2)*(a*a**(-2/7))**(1/6)) assuming a is positive.
a**(-701/126)
Simplify ((m**(2/5)*m)/(m/m**(2/9)))/(m*m/m**1*m*m*m/(m**(-6)*m))*((m**7/m)/m**7)/(m*m**1*m)**(3/26) assuming m is positive.
m**(-11377/1170)
Simplify (u/u**3*u*u**(-6)*(u**(-1))**(-1))/((u**4/((u/((u*u**(-6))/u))/u))/(u*u/((u**(-1/6)/u*u)/u)*u*(u**(-1/4)/u)/u)) assuming u is positive.
u**(-25/12)
Simplify ((d/(d*(d/(d**(2/11)/d))/d)*d)**(-3/2)*d/(d*d**10)*d*d/d**1)**(-1/5) assuming d is positive.
d**(102/55)
Simplify (n**0*n*n*n*n*(n/n**(-19)*n)/n*n)/(n**(2/15)*n*n/(n/(n**(-2/65)/n)*n)) assuming n is positive.
n**(1010/39)
Simplify ((l*l**0/l*l)**(-1/3))**37*(l**(-2))**41*(l/l**(2/5))/l**5 assuming l is positive.
l**(-1481/15)
Simplify (t/(t*t**3)*(t/t**(-5))/t*t)**(-19)/((t/(t**(-1/2)*t*t))/(t*t**(1/2)*t*t))**(-2/19) assuming t is positive.
t**(-1091/19)
Simplify (((q/q**(1/20)*q**(-2/9))/(q**(2/19)*q)**(-2/21))**(-6/7))**(16/3) assuming q is positive.
q**(-3256/855)
Simplify (a*a**1)**(2/31)/((a**(2/3)*a)/(a/(a/(a*a**(-1)))))*a/(a/a**(4/9))*(a/(a/(a**(-3)/a)))/a*(a*a**(2/7))**(-7/10) assuming a is positive.
a**(-19511/2790)
Simplify (b**12)**(-2/19)/(b*b**(1/21))**7 assuming b is positive.
b**(-490/57)
Simplify ((n**11*n*(n*(n**(2/53)/n)/n)/n)/((n*(((n*n**(12/11)*n*n)/n)/n)/n*n)/(n*n*n*n*(n*n**(17/4)/n)/n*n*n)))**(2/7) assuming n is positive.
n**(37771/8162)
Simplify ((j**(1/7)*j/(j*j**39)*j*j)/(j**28/(((j**(16/7)/j*j)/j)/j)))**0 assuming j is positive.
1
Simplify ((l**(1/3)/l)**(4/3))**(2/17)*(l/((l**2*l)/l))**(-27)*l/(l/((l**8/l)/l))*l/(l*l**6) assuming l is positive.
l**(4115/153)
Simplify (((h**(-38)*h/((h*h/h**(5/2)*h*h)/h)*h)**(2/11))**(9/4))**(-48) assuming h is positive.
h**(7884/11)
Simplify (((((a**(1/2)*a)/a*a)/a**(2/19))**(-3/11))**(-50))**(-16) assuming a is positive.
a**(-63600/209)
Simplify ((t/t**(20/11))/t)/(t/t**44)*t*t**(-8/3)*t**(-4)/t*t assuming t is positive.
t**(1172/33)
Simplify (a**(-3/7)/(a*a**(7/4)))/(a*a*(a*a**(1/3)*a)/a)**(-14/9)*((a/a**(9/7))/a**(2/5))**(-4) assuming a is positive.
a**(17953/3780)
Simplify (n**4/((n/n**2)/n))**18*n/(n/((n**(-2/5)/n)/n*n))*n*n**(-4)*(n**(-4)*n*n)/((n*n*n/(n/(n/((n/n**(2/13))/n))))/n) assuming n is positive.
n**(6464/65)
Simplify d**35/(d**(1/16)/d)*d*d*d*d**43/d*d/d**(-32) assuming d is positive.
d**(1823/16)
Simplify (((z/(z**(25/3)/z*z))/(z**(11/5)/z))**(3/16))**(3/8) assuming z is positive.
z**(-3/5)
Simplify k**6/((k/(k/(k/k**(-2/5))*k))/k)*(k**(-2/5))**(-11)*k**(-3)/(k**0*k)*k/(k*k*k*k/(((k**4/k)/k)/k)*k)*k*k*k/(k**(2/11)/k) assuming k is positive.
k**(86/11)
Simplify ((r/r**(19/6))**(8/11)*r**(5/2)*r**(2/9))**(-30) assuming r is positive.
r**(-1135/33)
Simplify ((v**(-15)*(v**(1/12)*v)/v*v**(-1)/v**(13/3))**(-26))**(-33) assuming v is positive.
v**(-34749/2)
Simplify (m**(-8)/((m/(m*m/(m*m*m**(-16))))/m*m)*(m/m**13)/(m/(m**19/m)*m))**(-38) assuming m is positive.
m**(-418)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
to 2 decimal places?
-0.21
Suppose 22 = 4*f + 5*y - 100, 4*f - 3*y - 106 = 0. Let p(v) = -24 + f + v**2 + 0*v - 4*v. Let i be p(2). Round i to 7 decimal places.
0
Let d = 0.6 - 2.6. Let t = -22 + d. Let s = -23.99921 - t. Round s to four dps.
0.0008
Suppose -25*y - 31970633 - 1279367 = 0. What is y rounded to the nearest one hundred thousand?
-1300000
Let x = 666767250.00000075 - 666767166. Let m = x + -84. What is m rounded to seven dps?
0.0000008
Let n = -4.6 - -4.14. Let x = -0.4600052 - n. What is x rounded to 6 dps?
-0.000005
Let l = 5914 - 5914.000012806. Round l to 6 dps.
-0.000013
Suppose -3*y = 4*i - 30, -5*y - 38 = -3*i - 1. Suppose 13*t - i*t - 10400 = 0. What is t rounded to the nearest 100?
2600
Let c = 1.3016 - 1.308769. Round c to 4 decimal places.
-0.0072
Let a be ((-16)/(-6))/(-4)*-39. Let j be (-9 + 4509)*a/3. Suppose -c = -0*c - j. What is c rounded to the nearest 10000?
40000
Suppose 4*d - 7067998 = -2*k, d - k + 8834999 = 6*d. Round d to the nearest one hundred thousand.
1800000
Let r = -2317.25837 - -2165.258233. Let w = r - -152. Round w to 5 dps.
-0.00014
Let b = -0.31 - -0.3. Let h = 140 + -139.954. Let j = b - h. Round j to 2 dps.
-0.06
Let k = 0.066500754 - 0.0665. What is k rounded to seven decimal places?
0.0000008
Let x = 0.33 + -2.93. Let y = 21.6 + x. Let s = y + -16.75. Round s to one decimal place.
2.3
Let s be 748/28 - (-4)/14. Suppose 0 = 2*a + y + 13, -2*y - y = 5*a + 33. Let u be (-603)/s + (-2)/a. Round u to the nearest ten.
-20
Let i = 75618814.9999842 - 75618795. Let r = i + -20. What is r rounded to five decimal places?
-0.00002
Let z = 7171799 - 7171928.196026. Let a = z + 129.066. Let t = 0.13 + a. Round t to five decimal places.
-0.00003
Let v = -74.746 - -75. What is v rounded to 2 dps?
0.25
Let p = -964 + 979.72. What is p rounded to one decimal place?
15.7
Suppose 1 - 5 = -2*v, -3*a + 5*v + 1843790 = 0. Round a to the nearest 10000.
610000
Let o = -140.470075 + 140.1. Let w = -0.37 - o. What is w rounded to 5 dps?
0.00008
Let z = 10.452805 + -5.95291. Let g = -2.1 - -6.6. Let p = z - g. What is p rounded to five decimal places?
-0.00011
Let o = 0.0336 - 211.0336. Let g = 204.05 + o. Let t = g - -4.5. What is t rounded to one decimal place?
-2.5
Let p = 0.9 - 0.91. Let i = -0.03 - p. Let f = i + 3.12. Round f to 0 decimal places.
3
Let q = 24 - 20. Suppose -q*t = 1569554 + 6030446. What is t rounded to the nearest 100000?
-1900000
Let c = 2135.227 + -2111.22674. Let k = c - 24. What is k rounded to 4 dps?
0.0003
Let l(u) = -185187*u**3 - 11*u**2 + u + 7. Let w be l(-6). Suppose -5*t = -3*p + 29999985, 4*p - w = -0*p + t. What is p rounded to the nearest 1000000?
10000000
Let w = -1205.00007167 + 1205. Round w to five dps.
-0.00007
Suppose x + 12727 = 6*x + 3*n, 2*x - n - 5082 = 0. What is x rounded to the nearest 100?
2500
Let o = -118.5 - -669.5. Let q = o + -554.01. Let a = q - -1.6. Round a to 1 decimal place.
-1.4
Let o = -77.019 + 0.019. Let q = o - -78.16. What is q rounded to 1 decimal place?
1.2
Let t = 1906 + -1845.21. Round t to 0 decimal places.
61
Let y be (74258583/6)/7*2. Suppose -5*j + y = -2363877. Suppose 2*x = -0*x - j. Round x to the nearest 100000.
-600000
Let a = 1997 + -1996.999999928. What is a rounded to 6 decimal places?
0
Let p = 433 - 432.9725. Round p to 3 decimal places.
0.028
Let n(u) = 21*u - 170. Let b be n(20). What is b rounded to the nearest 10?
250
Let j = -146 + 24. Let z = j - -121.99596. Round z to four decimal places.
-0.004
Let z = -14 + 15. Let b be 6164/28 + z/(-7). What is b rounded to the nearest 100?
200
Let m(r) = r + 22. Let o be m(-12). Suppose -3*u + 0 = 12. Let z be (-122490)/(-25) - u/o. Round z to the nearest one thousand.
5000
Let z = -102 + 70. Let n = -780579.67 - -780547.670057. Let q = n - z. What is q rounded to five decimal places?
0.00006
Let l = -3.2 + -0.8. Let h = l + 4.32. Round h to one decimal place.
0.3
Suppose 3*h = 3, 2134982 = -5*z - 2*h - 415016. What is z rounded to the nearest one hundred thousand?
-500000
Let w = -96 - -96.039. Let b = 0.066 - w. What is b rounded to two decimal places?
0.03
Let y be -4*(-5 + 47275/10). What is y rounded to the nearest 1000?
-19000
Let p = 61.07 + -61.072969. Round p to 4 dps.
-0.003
Let c = -38942.939 - -38996. Let m = -53 + c. What is m rounded to two decimal places?
0.06
Let y = 1.9 - 3.7. Let f = y - -1.799993. Round f to 5 dps.
-0.00001
Let u = -2836.21 + 2834. Round u to 1 dp.
-2.2
Let f = -15.5647 - -15.58. What is f rounded to 1 decimal place?
0
Let g be (-86)/(-5) - 1/5. Let v = g + -14. Suppose -2*f = -5*t + 1069990, -4*f + v*f = -3*t + 641995. What is t rounded to the nearest ten thousand?
210000
Let r(d) = 541*d**2 - 2*d + 5. Let c be r(-3). Suppose 4*q + 67876 = c. Let f = q - -6449. What is f rounded to the nearest one thousand?
-9000
Let r(s) = -2*s - 13. Let h be r(-9). Suppose -6*u = -2*u + 2*n + 578596, 4*u = -h*n - 578608. Let i = -6644647 - u. Round i to the nearest one million.
-7000000
Suppose 0*r = 4*r - 32. Suppose i + r = b, -5*b = 7*i - 3*i + 5. Suppose t + 600 = -b*t. What is t rounded to the nearest one hundred?
-200
Let d = -136 - -94. Let g = 38.8 + d. Round g to zero dps.
-3
Let t(d) = d**2 - 4*d - 40. Let p be t(9). Suppose 3*v + z + 2998 = 0, -527 = 2*v + p*z + 1463. Round v to the nearest one thousand.
-1000
Let f = 1.14519078 - 1.1453. What is f rounded to five dps?
-0.00011
Let t be -2 + 6 - (-1012500036)/(-9). What is t rounded to the nearest 1000000?
-113000000
Let b = -1.415 - -1.6107. Round b to 2 dps.
0.2
Let q = 9.756 + 0.144. Let d = q + 2.1. Let o = 11.99999989 - d. Round o to 7 dps.
-0.0000001
Let m(y) = -106*y**3 + 3*y**2 - 3*y + 10. Let z be 1*(-2)/((-8)/20). Let r be m(z). Round r to the nearest one thousand.
-13000
Let z = 19.3 + -19.529. Let u = z + 0.396. Round u to 2 decimal places.
0.17
Let l = 9.61986 - 9.529. Round l to two decimal places.
0.09
Let t = -4 + 3.5. Let u = -6119.5011 - -6119. Let c = u - t. What is c rounded to 4 dps?
-0.0011
Suppose 89*v - 66*v = 2210300. What is v rounded to the nearest 1000?
96000
Let r = 0.071 - 1.231. Let g = r + -55.84. Let b = -56.938 - g. What is b rounded to two dps?
0.06
Let b(z) = -z**3 + 7*z**2 - 12*z + 11. Let y be b(5). Let d be 4/y*250/8. Round d to the nearest one hundred.
100
Let n = 2306.23 + -2411.341. Let i = n + 105. Round i to two dps.
-0.11
Let t = 0.39 + -0.21. Let w = t + -0.180017. What is w rounded to 5 dps?
-0.00002
Suppose 0 = -3*y + 5 + 4. Suppose -3*a = a + y*m - 6553, -1632 = -a - 2*m. Let z = a - 3092. What is z rounded to the nearest one hundred?
-1500
Let i(l) = -4*l + 4 + 14*l**2 - 4*l + l**3 - 1 - 2. Let v be i(-17). What is v rounded to the nearest 100?
-700
Suppose 56 = 3*n - 4*j - 29, 2*n + 4*j - 50 = 0. Let b = 6 + n. Let q be 6/b + 2752/(-11). What is q rounded to the nearest one hundred?
-300
Let q = 34.7332 + -39.339. Let h = -8.4 + 3.8. Let a = h - q. Round a to 3 dps.
0.006
Let k = 21545.31 + -21664. Let j = k - -120. Round j to one decimal place.
1.3
Let d be -213002 + 5*(-4)/(-10). Round d to the nearest one hundred thousand.
-200000
Let d = -1.424 + 1.63. Let f = 0.205604 - d. Round f to 5 decimal places.
-0.0004
Let w = 1.8583 - 1.858315137. Round w to 6 dps.
-0.000015
Let f = -492159 - -1046782. Let x = f - 554616.99977. Let l = x + -6. Round l to 4 dps.
0.0002
Let p = 1651493531.7154185 + -1651493103. Let h = -441.71543 + p. Let i = -13 - h. Round i to six dps.
0.000012
Let j = -575 - -1054. Let o = -473.26 + j. Let i = 0.84 - o. What is i rounded to zero dps?
-5
Let o(s) = 2*s**2 + 6*s + 3. Let k be o(-5). Suppose -5*m + 8 = k. Let g be (236000/6)/(-2)*m. What is g rounded to the nearest 10000?
60000
Let i = -232 - -230.56. Round i to 1 decimal place.
-1.4
Let x(w) = -5325000*w**2 + 2*w + 6. Let t be x(-4). Let y be t/4 - (-2)/4. What is y rounded to the nearest 1000000?
-21000000
Let t = 0.0502 + -0.2431. What is t rounded to 2 dps?
-0.19
Let h be 6160/6 - 1/(-3). Let f be (2/5)/(76/570). Suppose -5*w - f*b + h = 0, -3*b = -6*b - 3. What is w rounded to the nearest ten?
210
Let z = -0.12228901 + 0.1223. What is z rounded to 7 decimal places?
0.000011
Let b = -159150177177136.00000044 - -159148955838405. Let h = b - -1221338711. Let i = h - -20. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
182 (base 9) to base 10.
155
-5 (base 11) to base 9
-5
Convert -3 (base 7) to base 4.
-3
2 (base 8) to base 11
2
110 (base 7) to base 11
51
17 (base 12) to base 15
14
What is -146 (base 9) in base 5?
-443
Convert -31 (base 8) to base 11.
-23
What is 12 (base 5) in base 4?
13
What is 1 (base 6) in base 2?
1
Convert 10 (base 15) to base 2.
1111
What is -514 (base 6) in base 16?
-be
Convert 12122 (base 3) to base 11.
129
What is -2 (base 5) in base 8?
-2
Convert 253 (base 9) to base 2.
11010010
-3 (base 10) to base 13
-3
What is 13 (base 5) in base 6?
12
297 (base 10) to base 14
173
Convert 7 (base 8) to base 15.
7
What is 53 (base 9) in base 7?
66
Convert -1 (base 16) to base 7.
-1
What is -4 (base 6) in base 13?
-4
-40 (base 7) to base 15
-1d
What is -d (base 16) in base 9?
-14
What is -74 (base 11) in base 3?
-10000
Convert -1312 (base 4) to base 10.
-118
What is 3 (base 10) in base 4?
3
46 (base 7) to base 6
54
-103 (base 9) to base 2
-1010100
-4 (base 16) to base 12
-4
10202 (base 3) to base 8
145
30 (base 9) to base 10
27
Convert -3 (base 13) to base 7.
-3
What is 2 (base 10) in base 15?
2
What is 9 (base 11) in base 12?
9
Convert -25 (base 6) to base 2.
-10001
What is -a (base 12) in base 9?
-11
-e (base 16) to base 10
-14
What is 21 (base 4) in base 12?
9
-123 (base 4) to base 3
-1000
Convert -36 (base 13) to base 12.
-39
-453 (base 8) to base 11
-252
What is -5 (base 14) in base 15?
-5
Convert -38 (base 10) to base 13.
-2c
Convert 5 (base 13) to base 15.
5
40 (base 5) to base 12
18
32 (base 10) to base 7
44
1 (base 14) to base 4
1
Convert -8 (base 14) to base 16.
-8
Convert -c (base 16) to base 11.
-11
-16 (base 10) to base 11
-15
-147 (base 15) to base 8
-444
Convert 1 (base 8) to base 3.
1
Convert -3 (base 11) to base 13.
-3
What is -34 (base 7) in base 13?
-1c
1 (base 3) to base 15
1
Convert -2 (base 16) to base 6.
-2
What is -11 (base 15) in base 8?
-20
-3 (base 11) to base 12
-3
Convert -1211 (base 4) to base 13.
-7a
What is 1 (base 8) in base 6?
1
Convert -15 (base 12) to base 15.
-12
What is -16 (base 9) in base 2?
-1111
Convert -7 (base 15) to base 6.
-11
What is -20 (base 11) in base 3?
-211
What is -1e (base 16) in base 10?
-30
-30 (base 8) to base 9
-26
Convert 110 (base 2) to base 16.
6
12 (base 7) to base 9
10
Convert -3122 (base 4) to base 15.
-e8
e (base 15) to base 6
22
Convert -10 (base 4) to base 16.
-4
5 (base 14) to base 6
5
2 (base 6) to base 8
2
a (base 16) to base 11
a
Convert 6 (base 9) to base 3.
20
11c (base 14) to base 4
3132
What is -4 (base 12) in base 5?
-4
0 (base 3) to base 14
0
Convert 1 (base 11) to base 5.
1
6 (base 7) to base 13
6
Convert -3 (base 6) to base 14.
-3
-1332 (base 4) to base 3
-11200
-100111110 (base 2) to base 6
-1250
Convert -1 (base 10) to base 16.
-1
141 (base 6) to base 11
56
What is 2 (base 10) in base 3?
2
What is -20 (base 5) in base 9?
-11
-20 (base 3) to base 11
-6
0 (base 4) to base 16
0
10 (base 10) to base 13
a
-1 (base 5) to base 10
-1
Convert 65 (base 10) to base 12.
55
Convert 344 (base 6) to base 16.
88
Convert -da (base 16) to base 9.
-262
What is -40 (base 6) in base 4?
-120
Convert 102 (base 4) to base 3.
200
What is 10 (base 3) in base 15?
3
120 (base 3) to base 12
13
What is -5 (base 8) in base 6?
-5
What is 3 (base 12) in base 2?
11
-12 (base 10) to base 3
-110
What is 28 (base 11) in base 9?
33
b (base 15) to base 12
b
-16 (base 12) to base 16
-12
Convert 406 (base 7) to base 4.
3022
10 (base 3) to base 2
11
Convert 12 (base 6) to base 7.
11
Convert 2 (base 13) to base 16.
2
What is 330 (base 4) in base 10?
60
0 (base 13) to base 12
0
What is -43 (base 6) in base 3?
-1000
What is -1021 (base 4) in base 6?
-201
Convert 12010 (base 3) to base 5.
1023
What is -42 (base 16) in base 13?
-51
-1 (base 10) to base 2
-1
-1a (base 16) to base 14
-1c
What is -111 (base 2) in base 5?
-12
Convert -16 (base 13) to base 14.
-15
a (base 14) to base 3
101
What is -1 (base 5) in base 3?
-1
Convert 8 (base 12) to base 7.
11
What is -4 (base 16) in base 9?
-4
What is 30 (base 16) in base 10?
48
Convert -135 (base 6) to base 4.
-323
Convert -110011 (base 2) to base 10.
-51
Convert 8 (base 9) to base 6.
12
Convert 0 (base 16) to base 13.
0
-11 (base 5) to base 2
-110
Convert -6 (base 8) to base 11.
-6
0 (base 11) to base 9
0
-14 (base 16) to base 13
-17
Convert -11300 (base 4) to base 13.
-224
-5 (base 10) to base 15
-5
1000 (base 4) to base 14
48
-6 (base 9) to base 16
-6
Convert -2 (base 11) to base 3.
-2
What is 101 (base 4) in base 10?
17
What is 42 (base 7) in base 12?
26
3101 (base 4) to base 14
10d
-2010 (base 3) to base 10
-57
Convert -11000100 (base 2) to base 16.
-c4
Convert -30 (base 4) to base 6.
-20
123 (base 7) to base 9
73
-2 (base 14) to base 11
-2
Convert 4 (base 6) to base 4.
10
What is 202 (base 4) in base 7?
46
What is 0 (base 8) in base 6?
0
What is -9 (base 16) in base 11?
-9
Convert 12 (base 12) to base 13.
11
What is 11 (base 7) in base 12?
8
1 (base 12) to base 8
1
-1111 (base 2) to base 10
-15
-4 (base 16) to base 7
-4
-31 (base 4) to base 3
-111
18 (base 16) to base 3
220
What is 103 (base 11) in base 7?
235
63 (base 10) to base 3
2100
2 (base 15) to base 6
2
Convert 2 (base 7) to base 6.
2
Convert -2 (base 11) to base 5.
-2
What is -110111 (base 2) in base 4?
-313
What is -3 (base 16) in base 8?
-3
-64 (base 7) to base 11
-42
5 (base 12) to base 8
5
Convert 1 (base 4) to base 16.
1
-363 (base 8) to base 14
-135
Convert 32 (base 9) to base 13.
23
What is -35 (base 10) in base 16?
-23
28 (base 9) to base 5
101
What is -12101 (base 3) in base 14?
-a5
72 (base 11) to base 6
211
8 (base 16) to base 11
8
What is 6a (base 12) in base 16?
52
What is -5 (base 6) in base 4?
-11
What is 3 (base 4) in base 8?
3
What is -5 (base 14) in base 8?
-5
5 (base 7) to base 4
11
What is 12 (base 5) in base 9?
7
1b (base 14) to base 8
31
Convert -2 (base 13) to base 8.
-2
What is -11101000 (base 2) in base 8?
-350
Convert 27 (base 15) to base 7.
52
What is -1 (base 11) in base 14?
-1
1000 (base 2) to base 16
8
Convert 5 (base 8) to base 6.
5
-5 (base 12) to base 13
-5
What is 10 (base 16) in base 12?
14
What is -7 (base 12) in base 5?
-12
Convert 10 (base 3) to base 14.
3
Convert 1 (base 11) to base 4.
1
0 (base 12) to base 7
0
9c (base 14) to base 3
12010
Convert -37 (base 11) to base 3.
-1111
What is -2b (base 12) in base 9?
-38
1001 (base 2) to base 16
9
21 (base 3) to base 4
13
What is -1102 (base 3) in base 13?
-2c
-1 (base 16) to base 10
-1
Convert -120 (base 3) to base 12.
-13
-7 (base 10) to base 8
-7
0 (base 16) to base 9
0
Convert 9 (base 10) to base 12.
9
What is -34 (base 16) in base 9?
-57
What is 47 (base 8) in base 13?
30
-f (base 16) to base 12
-13
Convert 2 (base 14) to base 16.
2
Convert -40 (base 10) to base 7.
-55
What is 32 (base 6) in base 9?
22
What is 1 (base 9) in base 13?
1
Convert 103 (base 8) to base 12.
57
Convert -202 (base 4) to base 9.
-37
What is 4 (base 6) in base 13?
4
What is -67 (base 10) in base 9?
-74
-2 (base 7) to base 9
-2
Convert -3 (base 6) to base 11.
-3
Convert 0 (base 9) to base 7.
0
Convert -101 (base 2) to base 9.
-5
27 (base 14) to base 4
203
-3 (base 12) to base 7
-3
What is -231 (base 6) in base 13?
-70
What is -22 (base 14) in base 11?
-28
-2 (base 6) to base 7
-2
Convert -101 (base 9) to base 8.
-122
Convert 1 (base 13) to base 4.
1
Convert 22121 (base 3) to base 14.
128
What is -51 (base 11) in base 13?
-44
Convert a6 (base 14) to base 5.
1041
Convert 6 (base 16) to base 14.
6
-38 (base 16) to base 2
-111000
Convert -2 (base 6) to base 8.
-2
Convert 323 (base 7) to base 2.
10100100
Convert -110 (base 6) to base 14.
-30
What is 11 (base 3) in base 13?
4
14 (base 9) to base 3
111
Convert 19a (base 13) to base 10.
296
-c (base 13) to base 16
-c
-12 (base 3) to base 15
-5
What is 2 (base 15) in base 8?
2
What is 14 (base 15) in base 12?
17
4 (base 15) to base 14
4
Convert 121 (base 3) to base 8.
20
What is -7 (base 10) in base 11?
-7
Convert 268 (base 10) to base 8.
414
Convert 1c (base 13) to base 12.
21
What is 4 (base 7) in base 11?
4
Convert 125 (base 6) to base 12.
45
What is 100011 (base 2) in base 6?
55
What is 180 (base 9) in base 11?
12a
Convert 76 (base 13) to base 6.
241
What is 0 (base 10) in base 15?
0
40 (base 8)
|
{
"pile_set_name": "DM Mathematics"
}
|
= -4, g + 5*j = -13. Suppose -d - 2*d = -2*h - 20, 3*h + g*d = -17. Let a(f) = -f**2 - 10*f - 3. Does 16 divide a(h)?
False
Suppose 4*y + 31 + 161 = 0. Does 6 divide (3/(-4))/(1/y)?
True
Let z be (89/(-7) - -5) + 2/(-7). Let g = 23 - -53. Is 14 a factor of (-1 + -1)*g/z?
False
Suppose -5*x - 310 = -10*x. Is 8 a factor of x?
False
Let c = -16 + 19. Suppose 33 = -0*x + c*x. Is 11 a factor of x?
True
Let u be (-3)/(-2 - (-7)/5). Suppose -u*b = 2*c + 59, -4*c - b - 59 - 50 = 0. Is 10 a factor of 1/2*-2 - c?
False
Does 6 divide ((-12)/(-10))/(((-1)/(-15))/1)?
True
Let m = 62 + -99. Let f = m - -70. Is f a multiple of 10?
False
Let q(h) = -4*h**2 + 16*h. Is q(3) a multiple of 3?
True
Let n(j) = -j**3 - 10*j**2 + 8*j + 15. Is 6 a factor of n(-11)?
True
Let l = -11 + 65. Suppose -5*r + 126 + l = 0. Does 18 divide r?
True
Suppose -10 + 50 = 4*s. Suppose s = -5*q + 35. Suppose -q*k - 5*m = -65, 3*m - 2 = -k + 1. Does 9 divide k?
True
Suppose -2*f + 600 = 6*f. Is 34 a factor of f?
False
Let i(q) be the first derivative of 3*q**2/2 - 19*q - 1. Is i(14) a multiple of 10?
False
Let h = 1 + 5. Suppose -h*a + a = 0. Suppose a = -f + 6 + 22. Is 10 a factor of f?
False
Suppose 0 = -3*a - 46 - 20. Let w = -13 - a. Is w a multiple of 3?
True
Let b(h) = h**2 + 7*h - 1. Let d be b(5). Suppose 0 = -6*f + f - x + d, -f - 3*x = -23. Does 8 divide 222/f + (-8)/44?
False
Let h be 2/2 - 1 - -56. Is 7 a factor of h/(-12)*6/(-2)?
True
Suppose -2*g + 281 = 2*p - 21, 2*p = 4*g + 332. Does 36 divide p?
False
Let f(t) = 56*t**2 - 2*t + 2. Is 16 a factor of f(2)?
False
Suppose -4*v = 3*q - 557, -5*v = -4*q + 27 + 726. Does 22 divide q?
False
Let r(n) be the second derivative of 2*n**4/3 - n**3/6 - n**2/2 + 3*n. Let g(q) = q**3 - 5*q**2 - 5*q - 7. Let c be g(6). Is 7 a factor of r(c)?
False
Let u = 22 - 12. Suppose 0 = -0*y + 5*y + u. Does 13 divide ((-27)/2 - 1)*y?
False
Let h be 0 - 1*1*33. Let x be (-138)/h - (-2)/(-11). Suppose -x*a - 2*w = -0*w - 72, -3*a - 5*w = -61. Is 14 a factor of a?
False
Let f = 28 - 3. Let r = f - -5. Does 12 divide r?
False
Let q(p) = -p**2 - 9*p. Let n be q(-8). Suppose -2*c - n = 2*c. Is (105/(-6) - 2)*c a multiple of 22?
False
Let v = -29 + -24. Let b = 88 + v. Does 16 divide b?
False
Let d(f) = -43*f - 7. Does 18 divide d(-1)?
True
Suppose -11*a + 561 + 792 = 0. Is 24 a factor of a?
False
Suppose -5*s + 10 + 55 = 0. Let q(g) = 4*g + 2. Let r be q(1). Suppose -r = -y - 2*c, -y + c + s + 8 = 0. Is 7 a factor of y?
False
Let m = 197 - 125. Does 21 divide m?
False
Let k(n) = n**2 - 7*n - 6. Is 4 a factor of k(-4)?
False
Let u(s) = 14*s - 5. Let p be u(7). Let j = 149 - p. Is 23 a factor of j?
False
Let f(b) be the second derivative of -b**5/20 + 2*b**4/3 + 3*b**3/2 - 7*b**2/2 + 9*b. Does 13 divide f(8)?
True
Let k(f) = 12*f**2 + 3*f - 2. Is k(2) a multiple of 28?
False
Let s = 5 - 5. Suppose -5*u + s*u - 28 = -b, -4*b - 3*u = -112. Does 11 divide b?
False
Suppose f = -f - n, 4*n = -16. Does 4 divide -5*(-6)/f + 1?
True
Let s be ((-2)/(-4))/((-2)/(-40)). Suppose -s = -j + 7*y - 2*y, -j = -2*y - 10. Is 8 a factor of j?
False
Let j(k) = -2*k**2 - 1 + k**3 - k - 4 + 2. Let z be j(3). Does 10 divide 6*z/12*14?
False
Let i = 2 + 22. Is 10 a factor of i?
False
Suppose -3*c = 2*c - 10. Let l be c/(-7) + (-828)/(-7). Suppose o = 4*j - 0*j - 98, 5*j - l = -o. Is j a multiple of 12?
True
Suppose 0 = -2*i + 3*g + 54, 0*g - 94 = -3*i - 2*g. Is 15 a factor of i?
True
Let j(c) = -c**2 + 3*c + 6. Let p(h) = 2*h**2 - 7*h - 13. Let s(q) = -5*j(q) - 2*p(q). Is 14 a factor of s(6)?
False
Let w(z) = z**3 - 5*z**2 + 2*z - 6. Let n be 1/4 - 57/(-12). Let p be w(n). Suppose i = p*m - 11, 13 = 3*m + i + 3*i. Is m even?
False
Let c(p) be the first derivative of -p**4/4 - p**3 + 3*p**2/2 + 3*p - 2. Let r be c(-4). Suppose -r = -i + 17. Is 17 a factor of i?
False
Let t = 352 - 181. Is t a multiple of 19?
True
Is 11 a factor of (-1 + (-427)/2)*6/(-9)?
True
Let j be -5*4*(-18)/45. Suppose -2*a = -5*h - 130, h + j - 66 = -a. Is a a multiple of 12?
True
Let i = -16 - -22. Let t(h) = -9 + 11 + 11 - h. Does 6 divide t(i)?
False
Let n be 0 - -93 - (6 + -8). Suppose 7*w - 4*l - 85 = 2*w, -5*w + 2*l + n = 0. Does 21 divide w?
True
Suppose 0 = -5*a - 2*c + 55, 0*c + 5*c = 25. Let k(s) = 3*s**2 + 5*s**2 + s**3 - 9*s + 3 + a. Is k(-9) a multiple of 12?
True
Is (18/(-3) - -4) + 29 a multiple of 5?
False
Let h(k) = 3*k**2 + k. Suppose 2 = -c - 0. Is 5 a factor of h(c)?
True
Suppose 0 = -5*s + h + 11, 4*s - h - 20 = -3*h. Suppose -s*m - 5 + 26 = 0. Let r = 23 - m. Does 7 divide r?
False
Does 13 divide 75/6*4 + (2 - 0)?
True
Let j be 16/56 + 187/7. Let v = j - 13. Is v a multiple of 4?
False
Suppose 2*z + 2*z = 264. Let y = z + -97. Let s = 47 + y. Is 8 a factor of s?
True
Let a(i) = -i**3 + 5*i**2 + 10*i - 6. Does 6 divide a(6)?
True
Let h be 13 + -1 + (-6)/3. Let a = 18 - h. Suppose 2*f - f = a. Is 8 a factor of f?
True
Suppose -2*l + 5*l - 9 = 0, -5*d + l = -782. Does 31 divide d?
False
Suppose -x = -4*x + 96. Is x a multiple of 9?
False
Is (-74)/((-4)/2 + 0) a multiple of 11?
False
Suppose -2*g = -22 - 2. Let d be 2/(-3) - (-308)/g. Suppose y - d = 12. Does 14 divide y?
False
Let g = 217 + -139. Is g a multiple of 20?
False
Is 15 a factor of -2 + 4 + 28/1?
True
Let i = 7 + -3. Suppose -3*j = i*d - 32, -3*j - 5*d + 29 = -2*j. Suppose 6*s - 52 = 2*s - j*b, -3*s = 5*b - 39. Is 13 a factor of s?
True
Let c = -8 + 11. Suppose 2*p - 8*v = -c*v + 29, p + 2*v = -8. Suppose 2*i = -s + p*s - 10, 0 = -3*s - 4*i + 10. Is s a multiple of 3?
True
Let d be (222/6)/((-1)/(-5)). Suppose 0 = 5*l + 4*x + 47 - 352, 3*l + 2*x = d. Suppose 3*i - 4*i + 1 = -5*c, 0 = 5*i + 5*c - l. Is 11 a factor of i?
True
Let o(s) be the third derivative of -5*s**4/12 + s**3/6 - 2*s**2. Suppose -5*y - 4*m = 21, -y + 4*m + 11 = 4*y. Does 4 divide o(y)?
False
Let v(k) = k**2 + 12*k + 12. Let p = -23 - -11. Is v(p) a multiple of 12?
True
Let q be (-8)/(2*2/(-6)). Suppose m = x - 4*m + q, -3*x + 5*m = 6. Suppose h = -x*h + 28. Does 5 divide h?
False
Suppose 0 = -5*a + 2*a + 42. Suppose 0 = 2*i + v - 7, -a = -4*v - 34. Does 4 divide i?
False
Suppose 3 = f + 9. Let a = 12 + f. Is 2 a factor of a?
True
Let k = 4 - -1. Suppose 3*s = -2*s - 4*p + 21, k*p = 2*s + 18. Is 1 + s + (16 - 1) a multiple of 13?
False
Let t be (-3)/(-9)*3*-6. Let x = -4 - t. Suppose 0 = -x*s + 3 + 13. Is s a multiple of 3?
False
Let d = -3 - -8. Let o = d + -1. Is 24/o - (-1 + -1) a multiple of 5?
False
Let j(h) = -h**2 - 6*h - 3. Let y be j(-4). Suppose -4*k = 3*z - 84, y*k = -2*z - 6 + 104. Is k a multiple of 6?
True
Suppose 13*n - 5*n = 192. Does 4 divide n?
True
Suppose -861 = -15*h - 261. Is h a multiple of 14?
False
Suppose p + 3 - 14 = -2*i, 3*i = -3*p + 21. Let w(b) = b**2 - 3*b + 4. Does 4 divide w(p)?
True
Let g be 6/(-15) + 24/10. Suppose -g*a + 64 = -4*n - 0*n, 0 = 5*a - 3*n - 139. Is a a multiple of 14?
False
Let m(x) = -x + 11. Let u be m(8). Suppose -3*s - 18 = -2*f, 2*f + u*f - 32 = s. Let j = 8 - f. Is j a multiple of 2?
True
Let n be (1 - 0 - 1)/(-1). Suppose 4*o - 223 = -5*a, 4*o - 5*a = -n*o + 273. Suppose 0*g = -3*g + 2*m + o, -5*m = g - 15. Does 10 divide g?
True
Let n(k) = 117*k + 3. Let m be n(3). Is m/8 - (-2)/(-8) a multiple of 15?
False
Let u(r) be the second derivative of r**4/12 + r**2/2 + 2*r. Let n be u(2). Suppose 5*t - 125 = -5*c, t + 0*c - 37 = -n*c. Is 10 a factor of t?
False
Let j(y) = -8*y - 2. Let v(d) = -d**3 + 8*d**2 - d + 5. Let u be v(8). Is 22 a factor of j(u)?
True
Let r(k) = -k + 3. Let s be r(3). Let h(f) = -f**3 - 3*f**2 - 7*f - 5. Let y be h(-4). Suppose t - 2*t + y = s. Is 10 a factor of t?
False
Suppose 4*v + 6 = 3*v. Does 7 divide v/12 + (-82)/(-4)?
False
Suppose 4*j + 1 = 13. Suppose 0 = -j*q + 2*v + 109, 4*q - v - 142 = -0*q. Is q a multiple of 16?
False
Suppose 36 = -11*f + 8*f. Does 2 divide ((-6)/f)/((-1)/(-12))?
True
Let u = 48 + 57. Is u a multiple of 7?
True
Let b(t) = t**2 + 4*t + 8. Is b(-5) a multiple of 3?
False
Let t(c) be the second derivative of c**4/6 - c**2 - 3*c. Is 5 a factor of t(3)?
False
Let q = 63 - -19. Suppose 5*i = 2*o + q + 92, o + 33 = i. Does 18 divide i?
True
Let b(k) = -7*k**3 - 11*k**2 + k - 4. Is b(-4) a multiple of 33?
True
Let o be -1*(-1 + 3 - 6). Suppose -4*n = -o*h -
|
{
"pile_set_name": "DM Mathematics"
}
|
46/5?
False
Suppose 8*g = -4*x + 3*g - 29, -x - 6 = g. Is -35/17 less than or equal to x?
True
Let o be 19*3*(-11)/(-33). Let a = 4 + o. Suppose a*m = 19*m. Which is smaller: m or -1/37?
-1/37
Suppose -7*k = 1001 + 259. Which is greater: -181 or k?
k
Let f = 14.1 + -14. Do -436 and f have different values?
True
Let m(k) = -3*k - 36. Let d be m(-19). Let w be (-9)/(-12)*35/d. Let c be (0 + (-1)/2)*-2. Which is smaller: w or c?
c
Let c be 14/(-2) - (-1590)/53. Which is smaller: c or 24?
c
Let g be ((-1)/(4/(-18)))/(10/(-40)). Let s = g + 18. Do 2/63 and s have the same value?
False
Let y(r) = -104*r - 11. Let m be y(1). Let a = m - -65. Is -50 < a?
False
Let h be (-9 + 4)/(2/14). Let k be (-5)/(-2)*42/h. Let q = -9 - k. Which is greater: -7 or q?
q
Suppose 0 = -f - 4*m - 4, 4*f - 8*f + 26 = 2*m. Which is smaller: -13 or f?
-13
Let g be -1 + 2 + 0 + 0. Suppose 3*z + 15 = -3*m, 0*z - 15 = 2*z + 3*m. Suppose k + z*k + g = 0. Are k and 0 nonequal?
True
Let o = 26 + -21. Suppose 2 = -2*l - o*c, 4*c = -3*l - 6 - 4. Let g = -17 - -10. Is l bigger than g?
True
Suppose -4*g + 9 + 12 = -h, -3*h + g - 19 = 0. Let y be (h/(-50))/(2 + (-15)/6). Does y = -6?
False
Let y = 45 + -48. Let l(f) = -f**3 - 4*f**2 - 2*f + 4. Let v be l(y). Is v > 2/67?
True
Let q = 734 - 733.3. Is 1/3 <= q?
True
Let w = -5 + -63. Let x = 68.52 + w. Is x at least as big as 1?
False
Let n = 0.503 + -0.533. Which is smaller: 17/4 or n?
n
Let v = 35 - 22.7. Let t = v - 0.3. Let q = -12.1 + t. Is -1/4 greater than or equal to q?
False
Let h = 7 - -19. Suppose v = -2 + 3, -4*b - 2*v = h. Let o be (-5)/b + 16/56. Which is greater: o or -2?
o
Let m = -221 + 229. Let x(i) = 3*i - 4. Let d be x(4). Is m smaller than d?
False
Let g(v) = -v + 2*v**3 - 4*v**2 + 4*v**2. Let j be g(-1). Suppose -41*k + 37*k = 22*k + 78. Which is bigger: j or k?
j
Let v = 101 + -100.7. Which is smaller: v or 24?
v
Let n = -150 + 159. Is n smaller than 35/4?
False
Let i = -0.14 + -0.06. Let q = -2363/65 - -181/5. Which is bigger: q or i?
q
Let b be (0 - 0)/(-7 + 4). Let v be 4/14 - (-2403)/(-2898). Let u = v - -1/2. Is b <= u?
False
Suppose 4117*l - 4126*l = 9. Does l = 1/280?
False
Let i be ((-4)/4308)/((104/48)/(-13)). Which is greater: 1 or i?
1
Let g be (-4)/(-14) - 38/(-63). Let q(z) = z**2 - 3*z + 3. Let v be q(1). Suppose 10 = 9*s + v. Which is bigger: s or g?
s
Let w = 31.1 + -31. Let v = -1.9 - w. Is 0.16 greater than or equal to v?
True
Suppose 0 = -z + 6 - 0. Let q be (-490)/6 - (-4)/z. Let n be (-4)/(-18) - (-504)/q. Is -5 less than n?
False
Let o = -7 - -8. Let h be o/3*720/(-64). Do h and -0.1 have different values?
True
Let y = -84 - 17. Which is smaller: y or -103?
-103
Let o(y) = y**2 + 1. Let u(f) = 19*f - 8. Let b(d) = -2*o(d) - u(d). Let z be b(-10). Which is greater: -20/7 or z?
-20/7
Suppose -u - 3*b - 12 = 3*u, 8 = -2*b. Let c be (-4)/(-22) + (-70)/22. Let k be 1 + (70/(-16) - c). Which is bigger: k or u?
u
Let c = 20486754/521 + -39322. Is 0 smaller than c?
False
Let u = 0.0588 - -0.9412. Let l be -2 - 26/(-6) - 1. Is l at most as big as u?
False
Let m = 38 + -44.9. Let h = m - -0.9. Let z = 0.6 + -0.5. Does h = z?
False
Let u(o) = o**3 - 23*o**2 - 189*o - 27. Let k be u(29). Which is smaller: k or -461?
k
Let w = -0.19 - -0.3. Let k = 6.11 - w. Let y = k - 13. Which is bigger: 2/7 or y?
2/7
Let z = 56 + -36. Let s = -16 + z. Suppose 4*w = -s*x, 2*x - 2*w + 30 = -2*x. Is -5 bigger than x?
False
Let o = 2095 + -1466. Let l = 64786/103 - o. Which is smaller: l or 0?
l
Let o be ((-1)/(-14))/((-93)/(-744)). Is o greater than or equal to 0.5?
True
Let q(p) = -12*p**2 + 2*p + 2. Let g be q(1). Is g != 2?
True
Let j = 394 - 327. Is j > 69?
False
Let w be (1 - -5)/(-3) - 10592/44. Let n = w - -243. Which is bigger: n or 1?
1
Let d(o) = o**3 - 3*o**2 + 2*o. Let w be d(2). Let k = -10157/102 - -208/51. Let a = k + 1911/20. Which is smaller: w or a?
w
Let k = -0.2 + 0. Let s = 1.2 + k. Suppose -139*f + 141*f = 0. Which is bigger: s or f?
s
Let r be 4/(-2) + 2 + 95/(-30). Let c = r - -283/78. Is 0.3 at most as big as c?
True
Let v(y) = -y**2 - 9*y - 7. Let f be v(-8). Let z be 16/((-3)/(-6)*f). Is 31 at most as big as z?
True
Let r = -1451 - -1450. Is 2/119 > r?
True
Let u = -322.32 - -322. Which is bigger: 2/7 or u?
2/7
Let b = -545/6 - -157553/1734. Are b and -1 nonequal?
True
Let r be 4/1 + (-4 + 6)*-29. Is r at most as big as -52?
True
Suppose -6 = -22*n + 21*n. Is 67/10 < n?
False
Let w be ((-1)/4)/((-120)/(-320)). Which is smaller: w or 2?
w
Let h = 389/3230 - 12/95. Is h < -1?
False
Suppose 0*i = 3*i + 297. Let f be ((-1)/(-3))/((-3)/i). Suppose -5*p + f = 1. Is p less than 2?
False
Let j be ((-22)/3)/((-2)/3). Suppose 0 = -5*g + p - 45, g + 15 = -0*p - p. Let q = j + g. Which is bigger: 1/29 or q?
q
Let t = 18 + -13. Suppose 4*o - 9 = -t*d, -3*d + 1 = 4*o - 6. Which is smaller: d or 1/3?
1/3
Let g = 1/237 - -463/2607. Is 53 at least as big as g?
True
Let h = 19 - 40. Let o = h + 20. Which is bigger: o or 8?
8
Suppose -3*j + 4*y = -0*j - 21, -5*y - 21 = -3*j. Suppose 39 = 8*v + j. Suppose -25 = v*x - 21. Which is smaller: -13/6 or x?
-13/6
Let t be -2*-2*((-53)/18 + 3). Is t at most -35?
False
Let p be -13 + 16 + (3 - (498 + 3)). Is -495 not equal to p?
False
Let h = 17 + -94. Let v = -77.02 - h. Is 1 bigger than v?
True
Let g(f) = f**3 - 13*f**2 + 12*f + 12. Let v be g(12). Suppose -14 = -v*q + 46. Which is smaller: 6 or q?
q
Let d = 858 - 788. Is d smaller than -1/5?
False
Let n(z) = -z**3 - 26*z**2 + 25*z - 44. Let g be n(-27). Is g less than or equal to 3?
False
Let q = 11.16 + -11. Let n = -18.8 - -19.8. Are q and n non-equal?
True
Suppose 8*k - 233 = 11*k + m, 5 = -m. Let o be (k/(-78))/2 - (-2)/(-13). Which is bigger: 2/9 or o?
o
Let i(a) = 33*a - 28. Let g be i(2). Are 38 and g non-equal?
False
Suppose -8 = -4*a - 0*a. Suppose -a = -4*j + 2. Suppose y = -j - 2. Is y greater than or equal to -2?
False
Let q = 0.2 - 0.3. Let m = -0.2 - q. Let x = -463.1 + 463. Is x < m?
False
Let u = -3 + 12. Let l = 2 - u. Let c = -5 - -5. Is l >= c?
False
Let n = 7 + -2. Suppose n*k + 3 = t - 41, 4*t + 4*k - 56 = 0. Is t greater than 18?
True
Let h(o) = o**3 - 2*o**2 + 2*o - 6. Let q(w) = -4*w - 8. Let r be q(-2). Let u be h(r). Let d be 4/u*45/75. Which is smaller: d or -0.22?
d
Let h = -1640/19389 - 2/843. Which is greater: 0 or h?
0
Let a be 9/(-30)*(-40)/16. Is -20 less than a?
True
Suppose 19*m = -33*m - 52. Are -6/65 and m nonequal?
True
Suppose -47*o = -43*o - 180. Is o <= 38?
False
Let x be (-1)/(-2)*-6 - (-1 - 1). Is -3/32 at most x?
False
Let v = -3.11 - 184.89. Let o = v - -207.1. Let m = o + -3.1. Is 1/4 not equal to m?
True
Let f = 3 - 5. Let g = f + 9. Let z be -2 + (-6)/(-4) - 2907/(-342). Which is bigger: g or z?
z
Let w = 346 + -331. Which is smaller: -2.8 or w?
-2.8
Suppose 3*n = 4*n - 4. Let d be 1 + (-20)/72*n. Which is smaller: 0 or d?
d
Suppose 2 = -x - t, -5*x - 12 = 4*t - 0*t. Let v = -2 - x. Suppose 42 = -v*p - 3*p - y, 2*y + 12 = -p. Does p = -9?
False
Let t be ((-24)/16)/(-1 + 0). Suppose 11 + 1 = 3*z. Suppose -4*o + 2*y - 8 = 0, 0*y - z = 3*o - y. Is o greater than or equal to t?
False
Let g be 7*(-1)/2 + 9 + -9. Let k(f) = 2*f**2 + 4*f + 2. Let b be k(-2). Suppose -5*o - 5 = -4*j, 5*j + b*o - 7*o = 0. Which is bigger: g or j?
g
Suppose 0 = -3*r, s - 5*s = -2*r. Suppose -5*w + 32 + 33 = s. Are 12 and w non-equal?
True
Let k be 6/(-2) - -4*(-6)/(-8). Suppose k = -8*g - 2*g + 220. Is g greater than or equal to 24?
False
Let j(x) = 7*x**2 - 11*x + 15. Let d(u) = 3*u**2 - 6*u + 7. Let b(r) = -5*d(r) + 2*j(r). Let m be b(9). Which is greater: m or -15?
m
Let y be (-32)/(-256) + 658/(-5136). Which is greater: y or -1?
y
Let g be 0 + (-4 - (-8241535)/3342250). Let s = g + -4/11525. Let y = -1/29 - s. Which is greater: y or 2?
2
Let v = -2.27 + 0.17. Let z = -1.9 - v. Let i = -0.69 - 0.11. Is i less than z?
True
Let r = -0.4 - -0.2. Let d = 0.1 - 0.6. Let h = r - d. Which is smaller: h or -1/2?
-1/2
Let m(x) = -5*x + 8. Let w be m(10). Let l be ((-4)/9)/(28/w). Let b be (-1)/2 - (-12)/8. Which is bigger: b or l?
b
Let v(z) = 3*z + 5. Let y(l) = -4*l - 6. Let i(c) = 3*v(c) + 2*y(c). Let n be i(4). Which is greater: n or 27/4?
n
Suppose -j - 14 = 3*o - 0*o, 4*o + j = -18. Let v be 2
|
{
"pile_set_name": "DM Mathematics"
}
|
he form b + f*t**2 + l*t and give b.
26
Express -s**2 - 7*s**3 + 1576 - s**2 + 5*s - 1578 as a*s**2 + f*s**3 + y*s + r and give f.
-7
Express (-9 + 0 + 3)*(-14*k**3 + 20*k**2 - 20*k**2)*(0 - 1 + 0) as v*k**3 + t*k**2 + h + q*k and give v.
-84
Rearrange 2*a + 15*a**2 + 14 + 4*a + 132*a**2 - 14 to i + w*a + z*a**2 and give w.
6
Express 135*o - 363*o + 32*o as z + c*o and give c.
-196
Rearrange 3*r**3 - 19*r**3 - 383*r**2 + 2*r**4 + 1 - 382*r**2 + 1 + 766*r**2 to the form o*r**4 + a*r**2 + p + d*r + k*r**3 and give p.
2
Rearrange -29*p - 6*p + 36*p - 2*p**2 + 151*p**3 to z + x*p**3 + f*p**2 + m*p and give m.
1
Express l**3 - l + 2*l**2 - 17*l**3 + 3*l - l + 2*l as k + v*l**3 + n*l**2 + a*l and give v.
-16
Express -10 + 104 - u + 22 + 49 as t + v*u and give v.
-1
Express (4*i + 0*i - i)*(-56*i - 36*i + 44*i) + 0*i**2 - 4*i**2 + 3*i**2 in the form o*i**2 + x + r*i and give o.
-145
Rearrange -3*l**3 - 19*l**2 - 91 + 83*l**2 - 64*l**2 - l to y*l**2 + a*l + b*l**3 + h and give b.
-3
Rearrange -663*l**2 + 2*l - 1058*l**2 + 1078*l**2 - 2*l to m*l**2 + c + u*l and give m.
-643
Rearrange -1786 + 2*a**3 - a**2 - 1795 + 3600 to the form r + n*a + c*a**3 + t*a**2 and give r.
19
Rearrange (1 + 1 - 3)*(2 + 0 - 1)*(14*c**2 - 2*c**3 - 14*c**2)*(-11 + 6*c + 11) to x*c**2 + g*c**4 + f + j*c**3 + t*c and give t.
0
Express (10*n + 1 - 1)*(0*n**3 + 0*n**3 - 3*n**3) - 6*n**4 - 7*n**4 - 5*n**4 as v*n**2 + a + c*n + t*n**3 + y*n**4 and give t.
0
Express (2058 - 482 + 1258*g - 1259*g)*(0 + 0 - 1) as f + p*g and give p.
1
Rearrange -387*i - 5*i - 285*i - 667*i to the form k*i + f and give k.
-1344
Express (-68 - 202 + 41)*(-n**2 + 14*n**2 - 3*n**2) as b*n**2 + a + m*n and give b.
-2290
Rearrange (3 + 3 - 5)*(-49 - 3 - 44 + 0 - 4 + 2 + (0 + 2 - 3)*(-3 + 2 + 2) + 2 - 1 - 2 + 2 + 1 - 1)*(2*u - u + 0*u) to b*u + j and give b.
-98
Express (x + 3*x - 2*x)*(83*x + 212*x - 33*x)*(-1 + 0 + 2) + (-x**2 - 4*x**2 + 3*x**2)*(0 + 2 - 3) - x + x + x**2 as z + p*x + v*x**2 and give p.
0
Express (-37*a + 21*a + 19*a - 3*a**2)*(-6*a - a + 3*a) + (0 + 0 - 1)*(4*a**3 - 2*a**3 + 0*a**3) as f + c*a + h*a**2 + w*a**3 and give h.
-12
Express -7 + 6*a**2 + 2*a + 4*a**2 - 1 - 14*a**2 in the form b + r*a + c*a**2 and give r.
2
Rearrange ((1 - 3 + 3)*(c + 2*c - c) - 384*c + 1579 - 1579)*(7*c - 4*c - 4*c) to the form a*c**2 + o + z*c and give a.
382
Express (1 - 3 + 4)*(3*u - 3*u + 4*u) + 2*u - u + 0*u + (-3*u - u + 2*u)*(-1 + 1 - 1) - 3*u + 4*u + u + 13*u - 9*u + 44*u as h + o*u and give o.
61
Express -3*b + 180*b + 29*b + 2 + 113*b as f + r*b and give f.
2
Rearrange -4*j**2 + 4*j**2 + j**2 + (5 + 8 + 1)*(3*j - j + j)*(4*j - 4*j + 10*j) to the form f*j + y + v*j**2 and give v.
421
Rearrange -o + 613*o**3 - o**2 - 2*o**4 + 1 - 612*o**3 + 3*o to the form f + i*o**2 + d*o + k*o**4 + y*o**3 and give d.
2
Rearrange -13*z**2 + 5 + z - 2 + 0*z**2 - 4 to r*z**2 + c*z + o and give o.
-1
Express (-2 + 46 + 136)*(1 - 2 - 2)*(a**3 + a**3 - 4*a**3) as w*a**3 + s*a + i + z*a**2 and give w.
1080
Rearrange -y + 43*y**2 + 0*y**4 + y**4 - 38*y**2 + 19 - 19 - 4*y**3 to the form l*y**3 + o + s*y**2 + z*y + n*y**4 and give s.
5
Rearrange 895*b - 104*b + 113 - 228 + 115 to the form d + i*b and give i.
791
Rearrange -16*j - 10*j - 51*j - 15*j to l*j + y and give l.
-92
Rearrange -5*w**3 + w**2 + 206*w**4 + 6*w**3 - 205*w**4 + 8*w**3 to n*w**3 + i*w**2 + p*w**4 + k + b*w and give p.
1
Rearrange 2*w + w - 10*w + 53 - 2*w + 5*w to y*w + k and give y.
-4
Express (-o**3 - 4*o**3 + 0*o**3)*(-o + 4*o - 4*o) + (47*o**4 + 3*o**4 + 44*o**4)*(-2 - 2 + 6) in the form d*o**4 + z*o**3 + s*o**2 + u*o + a and give d.
193
Rearrange -13*u**3 - u**4 + 8*u**3 - 2*u**2 - u**4 + (0*u**4 - 3*u**4 + u**4)*(3 + 1 - 3) to s*u**3 + a*u**4 + g*u**2 + d*u + k and give a.
-4
Express 2*b**2 - 73*b - 36*b - 83*b - 128*b in the form w*b + r + x*b**2 and give x.
2
Rearrange 12 + 3*n**2 - 12 + (18 - 18 - 15*n)*(n + 0 + 0) + (-6*n + 4*n + 3*n)*(2*n + 0*n - 4*n) - 5*n**2 + 0*n**2 - 2*n**2 to c*n**2 + m + b*n and give b.
0
Express -100*s**3 - 7*s**2 + 0*s + 0*s + 80*s**3 + s as t*s**2 + o*s**3 + b*s + q and give t.
-7
Express -13704*p**2 + 13704*p**2 + 1966*p**3 + (0*p**3 + 4*p**3 - 2*p**3)*(0 + 1 + 0) as y*p**3 + f*p + m + s*p**2 and give y.
1968
Rearrange (1 - 1 - 2*d - 2*d - 3 + 3 - 3 + 3 + 2*d + (0 - 3 + 1)*(5*d - 5*d - 2*d) - d + 1 - 1 + 19*d + 12*d - 5*d)*(-3 - 3 + 0) to l + q*d and give q.
-162
Express (-2 - 1 + 1)*(1 + 0 - 13)*(-1 - 3 + 1)*(0 - 3*x + 0) as j + l*x and give l.
216
Express 269*r + 274*r - 530*r + 41 as k + z*r and give z.
13
Rearrange (0 + 2 + 1)*(16*k + 60*k - 8*k) to the form g + l*k and give g.
0
Express 3*x - x - 20 - 22 + 0 in the form w*x + z and give w.
2
Express 3*b**4 + 2*b**2 - 12*b + 14*b + 4*b**3 - 2*b**3 + 6 in the form p*b**3 + k*b**2 + n + i*b**4 + v*b and give k.
2
Rearrange (-562 - 8*m + 562)*(1 + 5 - 5)*(-5*m**2 + 2*m - 2*m) to c + r*m**3 + u*m**2 + f*m and give r.
40
Express (3 - 3 + 7)*(78*k + 46 - 46) as q + g*k and give g.
546
Rearrange -8*v**2 + 10*v**2 + 6 - 7*v**2 to d*v + h*v**2 + u and give u.
6
Express -8*f**2 - 1 + f**3 - 15*f**2 - 14 - 6*f + 23*f**2 as g*f + h + a*f**2 + w*f**3 and give g.
-6
Express (1 - 2 - 1)*(-5 + 2 + 5)*(-5 - 4 + 5 + (4 - 1 - 4)*(6 - 1 - 3))*(-5 - 5 + 3)*(-1 + 1 + g) in the form k*g + f and give k.
-168
Rearrange b - 2*b**4 - 930*b**2 + 7*b**3 + 14 + 929*b**2 - 3 to t*b**2 + q*b**4 + r*b**3 + j*b + a and give j.
1
Express (-1 + w**2 + 1)*(-3 + 3 - 1)*((-1 - 4 + 4)*(-230*w + 265*w + 113*w) + w + 2 - 2) as y + j*w**2 + x*w + k*w**3 and give j.
0
Rearrange 0*j**2 - 1 + 225*j**3 - 230*j**3 + 2*j**2 - j**4 to the form k*j + p*j**2 + q + u*j**3 + x*j**4 and give q.
-1
Rearrange (8 + 30*k - 8)*(-253*k - 30*k**3 + 253*k) to the form o*k**4 + v + f*k + q*k**2 + j*k**3 and give o.
-900
Rearrange -24*k**2 - 1 + k**4 + 25*k**2 - 13*k**2 - 66*k**2 - 37*k**2 + k to p*k**2 + o + f*k**3 + c*k**4 + y*k and give y.
1
Express -2*v**2 + 4*v - 3*v**4 - 7 + 12*v**4 + 8 in the form x*v + k + t*v**3 + q*v**2 + y*v**4 and give q.
-2
Rearrange -m + 7*m + 227*m to the form q*m + b and give q.
233
Express 4*i**2 - 4*i**3 - 2*i**2 - i**2 + 40 - 39 as b + m*i + r*i**3 + f*i**2 and give r.
-4
Rearrange -6*d**2 + 6 - d**2 + 2*d**2 + 2*d + d**3 to p*d**3 + z + h*d**2 + b*d and give h.
-5
Rearrange -9*t - 335 + 335 - t - 14*t**2 to the form q + r*t**2 + s*t and give r.
-14
Rearrange -1072*o - 399*o - 327*o to the form y + q*o and give q.
-1798
Express -73 + 34*c + 73 + c + 5*c - 3*c + (-1 + 1 + 2)*(1 + 2*c - 1) + 0*c + 2*c + 0*c as y*c + s and give y.
43
Express 225*a - 207*a - 2*a**2 + a**2 - 15 as x*a**2 + u*a + s and give u.
18
Rearrange -37*p**4 - 49*p**4 + 8*p**4 + (-p + 3*p + 0*p)*(2*p**3 + p**3 - 4*p**3) to r*p**4 + u*p**2 + t*p**3 + v*p + a and give t.
0
Express (-23*q**3 + 25*q**4 + 23*q**3 - 152*q**4)*(3 - 4 + 3) in the form y*q**4 + v*q**2 + t + b*q**3 + h*q and give h.
0
Express 21*r**3 + 1 - 25*r**3 + 28*r**3 in the form n*r + p + l*r**2 + u*r**3 and give u.
24
Rearrange (-4 + 4 - h)*(6*h - 271*h - 402*h) to l*h**2 + d*h + i and give l.
667
Rearrange (1 + 7 - 4)*(-6*r**3 - 3*r**3 - 5*r**3) to the form a*r**2 + y*r + i*r**3 + j and give i.
-56
Rearrange 0*l - 143*l**2 - 372 + 2*l - 2*l**3 + 1132 - 381 - 381 to the form y*l + g*l**3 + p + o*l**2 and give o.
-143
Express ((w + 4 - 4)*(3*w**2 + w**2 - 2*w**2) - 414*w - 43*w**3 + 204*w + 209*w)*(-2*w + 0*w + 3*w) as p*w**2 + a*w**3 + m*w**4 + y*w + s and give p.
-1
Rearrange (-5*r - 4 + 29 + 2)*(-1 - 5 + 2) to the form c*r + t and give t.
-108
Rearrange 1 - y**3 + 20*y**2 + 23*y**2 - 3 - 57*y**2 to the form k*y + j*y**2 + l + i*y**3 and give k.
0
Rearrange -3*x**2 - 2*x**2 + 3*x**2 + 1987*x**2 - 806*x**2 - 787*x**2 + (-x + 3 - 3)*(-2*x + 2*x - 2*x) to the form a*x + h + s*x**2 and give s.
394
Express -10986*g**2 - 10981*g**2 + 21959*g**2 as f + d*g + s*g**2 and give d.
0
Rearrange -1 - 13 + 4 + 2*q + 0 + 0 - 55*q**2 to r*q + v*q**2 + h and give h.
-10
Express -59*w**2 - 2*w**3 + 20*w**4 + 6*w**4 + w + 61*w**2 - 1 + w + 7*w**4 as u + b*w**2 + g*w**4 + k*w**3 + a*w and give u.
-1
Express i - 2 + 0*i**2 + 2*i**2 + 78274*i**4 - 78273*i**4 in the form j + v*i**4 + p*i**3 + x*i**2 + s*i and give s.
1
Rearrange 17*j**2 + 1 + 6*j**4 - 3*j + 15*j**4 - 20*j**4 to a*
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 5 - 2671?
-2664
In base 16, what is 16 + 12?
28
In base 8, what is 12 + -34?
-22
In base 9, what is 14861 - -3?
14864
In base 2, what is -110000 + -1111111?
-10101111
In base 16, what is 5 - -371?
376
In base 6, what is 14454 + 4?
14502
In base 7, what is -4611 + 0?
-4611
In base 16, what is -4 - e5?
-e9
In base 8, what is 7263 + 4?
7267
In base 12, what is -1 + -1a7?
-1a8
In base 12, what is 5 + 1baa?
1bb3
In base 7, what is -60 - 126?
-216
In base 15, what is -5 + -44?
-49
In base 15, what is -c + 3?
-9
In base 10, what is -224 - -3?
-221
In base 14, what is -91 + -74?
-125
In base 4, what is 11330 + -10?
11320
In base 4, what is 0 - -3013?
3013
In base 7, what is -16415 + -2?
-16420
In base 6, what is 5 - -10?
15
In base 3, what is -11 - -2011?
2000
In base 4, what is -3 - -12203?
12200
In base 3, what is 0 - 112000?
-112000
In base 16, what is 3 - -d?
10
In base 2, what is 1100 - -1011?
10111
In base 13, what is 171 + -3?
16b
In base 15, what is -313 + 4?
-30e
In base 6, what is 1142 - -10?
1152
In base 6, what is -12241 + 4?
-12233
In base 12, what is 5 - -814?
819
In base 6, what is -132 + -3?
-135
In base 14, what is 5 - -1c1?
1c6
In base 6, what is 43 - -3?
50
In base 3, what is -12 + 201001?
200212
In base 3, what is 102110 - 0?
102110
In base 8, what is -174 + 35?
-137
In base 5, what is 1 - 44?
-43
In base 12, what is -1 - 69?
-6a
In base 12, what is 5 + -3b?
-36
In base 3, what is -101111 - -11?
-101100
In base 3, what is 10 - -1000?
1010
In base 10, what is 3 - -2757?
2760
In base 5, what is -1 + -110?
-111
In base 13, what is -a20 - -5?
-a18
In base 11, what is -8741 + 5?
-8737
In base 5, what is -4 - 4420?
-4424
In base 11, what is 44 + -2?
42
In base 10, what is 1 + -17?
-16
In base 16, what is -2f6 - -3?
-2f3
In base 2, what is 11 + 1001000110?
1001001001
In base 3, what is -1120 - 2100?
-10220
In base 7, what is -54 - 5?
-62
In base 12, what is 315 - 1?
314
In base 11, what is 1 - -454?
455
In base 8, what is -412 - -1?
-411
In base 3, what is 1222 + 110?
2102
In base 4, what is -12213 + 13?
-12200
In base 16, what is -4 - -54?
50
In base 2, what is 11011 + -10000000001?
-1111100110
In base 4, what is -12 - 303?
-321
In base 10, what is -1 + -3245?
-3246
In base 8, what is -30 + -477?
-527
In base 11, what is 269 + -2?
267
In base 3, what is -120 - -22?
-21
In base 5, what is -20 + -230?
-300
In base 14, what is -8 - -6b7?
6ad
In base 10, what is -4 - 170?
-174
In base 8, what is 3 + -35?
-32
In base 11, what is -10 + -1?
-11
In base 3, what is 11 + -210220?
-210202
In base 7, what is 3 + -3465?
-3462
In base 16, what is -6 + -52?
-58
In base 7, what is -260 + -16?
-306
In base 6, what is -534 + -4?
-542
In base 11, what is 1820 - 5?
1816
In base 16, what is 5 + 89?
8e
In base 12, what is -17 - -69a?
683
In base 8, what is 41 + -1037?
-776
In base 11, what is -9aa - 3?
-a02
In base 5, what is -1010023 + -2?
-1010030
In base 15, what is -1 + -59?
-5a
In base 2, what is -100 + -1001110100?
-1001111000
In base 6, what is -551 - -13?
-534
In base 12, what is -3 + 172?
16b
In base 7, what is -25 - 21?
-46
In base 5, what is 10120 + 10?
10130
In base 7, what is -1122 + 5?
-1114
In base 2, what is 1111 - -1?
10000
In base 2, what is 10 - -1111?
10001
In base 9, what is 7346 - 0?
7346
In base 2, what is 1 - -1110?
1111
In base 11, what is -1 - -5a9?
5a8
In base 8, what is -26 + -266?
-314
In base 4, what is 123 + 21?
210
In base 2, what is -111 + -1100?
-10011
In base 13, what is -6a + -3a?
-a7
In base 12, what is -1 + 82a?
829
In base 14, what is -2 - -2?
0
In base 14, what is 0 - 5a8?
-5a8
In base 16, what is -18 - -8?
-10
In base 11, what is -2 - 3?
-5
In base 5, what is 40 - -3034?
3124
In base 15, what is -5 + -96?
-9b
In base 7, what is -54 + -6?
-63
In base 4, what is 103302 - 2?
103300
In base 3, what is -2 + -10222101?
-10222110
In base 10, what is 0 + -627?
-627
In base 8, what is -3 + -63?
-66
In base 15, what is -4 + -4a?
-4e
In base 6, what is 341 + -50?
251
In base 5, what is 120 - -241?
411
In base 16, what is 4 - -24f?
253
In base 9, what is -2508 + -4?
-2513
In base 13, what is 3 - 0?
3
In base 3, what is 1001120201 + 11?
1001120212
In base 6, what is 4145 - -5?
4154
In base 6, what is -50 - 2142?
-2232
In base 7, what is 0 - -3034?
3034
In base 5, what is -24 - 120?
-144
In base 12, what is 0 - -24a5?
24a5
In base 13, what is -3 - 51?
-54
In base 4, what is 21 - -332?
1013
In base 8, what is -11 - -27?
16
In base 9, what is -4 + 1647?
1643
In base 13, what is -26 + 6?
-20
In base 13, what is 9 + c?
18
In base 11, what is -5854 + -2?
-5856
In base 13, what is -1b - 5?
-23
In base 11, what is 3 - -a?
12
In base 6, what is 32 - -15?
51
In base 4, what is -1033 + -1011?
-2110
In base 11, what is 5 - -22?
27
In base 2, what is 11 - 10010110111?
-10010110100
In base 7, what is -1014 + -1?
-1015
In base 3, what is 1001222 + -110?
1001112
In base 2, what is 1 + -10001?
-10000
In base 14, what is -29 - 63?
-8c
In base 13, what is 25 - -69?
91
In base 13, what is 3 - -238?
23b
In base 7, what is -5 - -45?
40
In base 10, what is -19 + 0?
-19
In base 16, what is -d38 - 3?
-d3b
In base 9, what is 45 + -38?
6
In base 15, what is 3 - 145?
-142
In base 16, what is -4b - -5?
-46
In base 10, what is -36 + 5?
-31
In base 9, what is -46 - 138?
-185
In base 13, what is -4 - -428?
424
In base 8, what is 1100 - -1?
1101
In base 7, what is -1 - -24?
23
In base 3, what is -102210 + -2?
-102212
In base 8, what is 5 - 5216?
-5211
In base 16, what is -7c - 2?
-7e
In base 6, what is 0 - -4305?
4305
In base 16, what is -1 + 25?
24
In base 8, what is 10002 - 2?
10000
In base 15, what is 10 - 20c?
-1ec
In base 13, what is -8a + -4?
-91
In base 10, what is 1 - -5?
6
In base 7, what is -4 - 240?
-244
In base 5, what is 2 - -4002?
4004
In base 7, what is 3 - 453?
-450
In base 5, what is 11 - 21243?
-21232
In base 10, what is 25 - 59?
-34
In base 3, what is 220 - -100?
1020
In base 11, what is 0 + -33?
-33
In base 12, what is -4 - -1490?
1488
In base 10, what is 1 - 1808?
-1807
In base 15, what is -5 - 129?
-12e
In base 3, what is -1002 - -111100?
110021
In base 10, what is 39 - 2?
37
In base 2, what is -100 + -101111?
-110011
In base 6, what is -4 + 30250?
30242
In base 3, what is 10001000 - 10?
10000220
In base 6, what is 0 + 10450?
10450
In base 13, what is -46 + -7?
-50
In base 4, what is -30 - -1?
-23
In base 2, what is 1111001 + 10000?
10001001
In base 6, what is 2131 + -3?
2124
In base 10, what is -4 - -62?
58
In base 5, what is 121423 + 3?
121431
In base 10, what is 1023 + -1?
1022
In base 10, what is 426 + 12?
438
In base 11, what is -1 + -734?
-735
In base 13, what is 5 - -1348?
1350
In base 12, what is 77 - 8a?
-13
In base 6, what is 1 - -254?
255
In base 8, what is -2 - -261?
257
In base 2, what is -1011 - -100011001?
100001110
In base 12, what is 416 - 1?
415
In base 3, what is 1 + 100112?
100120
In base 12, what is 0 + -517?
-517
In base 11, what is 4 - 232?
-229
In base 14, what is bb + 8?
c5
In base 4, what is 2102103 - 10?
2102033
In base 4, what is -3101 - -12?
-3023
In base 4, what is 2 - -121?
123
In base 12, what is 772 + -5?
769
In base 10, what is -1852 + 4?
-1848
In base 10, what is 51 - -273?
324
In base 10, what is -4 + 44?
40
In base 13, what is 63 + 24?
87
In base 11, what is 3 + -78?
-75
In base 10, what is 8 - 25?
-17
In base 13, what is 22 + 77?
99
In base 8, what is -4 + 7?
3
In base 6, what is 5534 + 5?
5543
In base 15, what is -17 + -8?
-20
In base 14, what is a1 + 5?
a6
In base 4, what is -120 + -11?
-131
In base 11, what is 2748 - -3?
2750
In base 14, what is -1377 + -4?
-137b
In base 7, what is -3 - 32?
-35
In base 10, what is 3 + -12?
-9
In base 9, what is 0 + 31?
31
In base 10, what is 36 + 6?
42
In base 4, what is -32 - 220?
-312
In base 8, what is 4712 + 7?
4721
In base 6, what is -4 - -31?
23
In base 7, what is -210 - -2?
-205
In base 10, what is -1 + -546?
-547
In base 4, what is -2 - 1101?
-1103
In base 9, what is 3 + -4520?
-4516
In base 4, what is 113 - 2?
111
In base 14, what is -6b - -8?
-63
In base 5, what is 4 + 3323?
3332
In base 4, what is 3 - -30?
33
In base 10, what is 933 + -2?
931
In base 2, what is 1010 + -11?
111
In base 5, what is 1 - 224?
-223
In base 15, what is -8b5 + 1?
-8b4
In
|
{
"pile_set_name": "DM Mathematics"
}
|
*2
What is the third derivative of -3*d*n**4 - 285*d*n - 2*d - 4370*n**4 - 2*n**3 + 3*n**2 + 4 wrt n?
-72*d*n - 104880*n - 12
What is the derivative of 146852*h*w**3 - 430*w**3 + 16*w**2 - 3 wrt h?
146852*w**3
Differentiate -343498*l - 901557 wrt l.
-343498
Differentiate -11957*k**3*q**2 - k**3 - 152*q**2 + q - 143 wrt k.
-35871*k**2*q**2 - 3*k**2
What is the third derivative of -4714*a*m**3 - 3951*a*m**2 - m**4 + 3*m**3 + 6*m**2 - 1 wrt m?
-28284*a - 24*m + 18
Find the second derivative of 4*g**5*i - 7002*g**5 + 184*g*i - 2*g + 6 wrt g.
80*g**3*i - 140040*g**3
Find the second derivative of -569503*s**5 - 977096*s wrt s.
-11390060*s**3
What is the second derivative of 111886*s**2 + 2*s - 289390?
223772
Find the third derivative of -2*g**6*j + 110*g**3*j**2 - 90*g**3*j - 65*g**2*j + 3*g**2 + 143*g*j**2 wrt g.
-240*g**3*j + 660*j**2 - 540*j
What is the first derivative of 1342329*q + 2883224?
1342329
What is the second derivative of t**5 - 13730*t**3 + 102746*t?
20*t**3 - 82380*t
Find the second derivative of 3*a*v*w*z + 8*a*v*w + a*v - 21*a*w**2*z + 3*a*w*z + 169*v*w**2 - 2*v*z + 3*w**2*z + w wrt w.
-42*a*z + 338*v + 6*z
Find the third derivative of -d**4*y + 4*d**4 + 418*d**3*y - 19*d**3 - 2*d**2*y - 16*d**2 - 2*d*y + 9*y + 31 wrt d.
-24*d*y + 96*d + 2508*y - 114
Find the second derivative of 38388*d**3 - 3108*d.
230328*d
Find the second derivative of -1194*p**5 + 4*p**4 + 53763*p.
-23880*p**3 + 48*p**2
What is the derivative of 2222614*c + 1501217 wrt c?
2222614
What is the third derivative of -42*g**5*k - 2700*g**4*k**3 + 5*g**2 - 33814*g*k**3 wrt g?
-2520*g**2*k - 64800*g*k**3
What is the second derivative of v**2*w - 2620719*v**2 + 7*v*w - v - 30727*w wrt v?
2*w - 5241438
What is the third derivative of -27238*c**5 + 11*c**3 - 1094*c**2 + 35*c - 2 wrt c?
-1634280*c**2 + 66
Find the third derivative of -485*n**2*q**3 + 10*n**2*q**2 - 18*n*q**3 - 52*q wrt q.
-2910*n**2 - 108*n
Find the second derivative of 1960173*a*q**2 - 28*a - 24365*q wrt q.
3920346*a
Find the third derivative of 679217*d**3 + 1207325*d**2 wrt d.
4075302
Find the third derivative of 5*k**5 + 6823*k**4 - 168*k**2 - 1998 wrt k.
300*k**2 + 163752*k
What is the derivative of -c**3 + 106423*c + 68285?
-3*c**2 + 106423
Find the first derivative of 3*p*x + 81*p + 239187*x**3 + x**2 - 9134 wrt x.
3*p + 717561*x**2 + 2*x
What is the second derivative of -3*o**5 + 35*o**3*s + 56*o**2*s**3 - 13*o*s**3 - 3*o*s - s**3 wrt o?
-60*o**3 + 210*o*s + 112*s**3
What is the derivative of 29408*c**2 + 16244 wrt c?
58816*c
What is the third derivative of -189*i**3*x**6 - 14*i**3*x**2 + 75*i*x**6 + 1867*x**2 wrt x?
-22680*i**3*x**3 + 9000*i*x**3
Find the second derivative of -254087*p**2 - 12054*p wrt p.
-508174
What is the third derivative of -13*b**6 - 195*b**3 + 1368*b**2 - 10*b?
-1560*b**3 - 1170
Find the second derivative of -989796*g**3 + 739450*g.
-5938776*g
What is the third derivative of 31*m**5 + 8*m**4*u**3 - 15*m**3*u + 122*m**2*u**3 + 20*m**2*u wrt m?
1860*m**2 + 192*m*u**3 - 90*u
Find the second derivative of 47053*j**2 - 17683*j.
94106
Find the third derivative of -44786*u**6 - 9417*u**2 wrt u.
-5374320*u**3
What is the derivative of 8*i**3 - 235012*i + 5538199?
24*i**2 - 235012
Find the third derivative of 3134563*h**2*p**3 + 303*h**2*p**2 + 7*h**2*p + 368*h wrt p.
18807378*h**2
Find the third derivative of 31*c**3*g**2*m**3*z + 26*c**3*g**2*m*z - 3*c**2*g**2*m + 2*c*g**2 - 1361*c*m**3*z + 2*c*m*z - 7*m**2 wrt m.
186*c**3*g**2*z - 8166*c*z
What is the third derivative of -42112*a**6 - a**2 + 93346*a?
-5053440*a**3
Find the second derivative of 3455603*k*r**2 - 422*k*r + 2*k + 10*r + 3 wrt r.
6911206*k
What is the second derivative of 119406*c**2 - 20*c + 3926?
238812
What is the third derivative of 37192*m**4 - 72397*m**2?
892608*m
Find the second derivative of -p**3*v + 24*p**2*v + 110*p**2 - 15*p - 896*v + 1 wrt p.
-6*p*v + 48*v + 220
What is the second derivative of 442647*d*y**2 + 10*d*y + 16589*d - 2*y wrt y?
885294*d
Differentiate -5*c**2*d*m**2 + 791746*c**2*m**2 - c**2 + 2033*d*m**2 with respect to d.
-5*c**2*m**2 + 2033*m**2
Find the first derivative of -75733*t**3 + 2*t**2 + 680714.
-227199*t**2 + 4*t
What is the third derivative of -2626*v**4 - 12*v**3 - 339*v**2 - 14*v?
-63024*v - 72
What is the derivative of -470057*i + 4717235 wrt i?
-470057
Find the second derivative of -2*i**2*r**2 - 40657*i**2 - 1291*i*r**2 + 7*r**2 - 19*r wrt i.
-4*r**2 - 81314
Find the second derivative of 81891*z**2 - z + 166503.
163782
What is the second derivative of 2*u**5*x - 668414*u**3*x**3 + 34145*u*x + 3*x**3 wrt u?
40*u**3*x - 4010484*u*x**3
What is the second derivative of 2467*o*r**5 - 6*o*r**4 - 3*o*r + 118*o - 64*r + 1 wrt r?
49340*o*r**3 - 72*o*r**2
What is the second derivative of 4*l**5 + l**4 - l**3 - l - 305732 wrt l?
80*l**3 + 12*l**2 - 6*l
Find the second derivative of 130372*p**5 + 31*p + 4401 wrt p.
2607440*p**3
What is the derivative of -127667*l**2 + 204332?
-255334*l
Find the second derivative of 336628*q**3 - 1176*q + 100 wrt q.
2019768*q
What is the second derivative of -9*c**2*x**2 - c**2*x - 10047*c**2 - 307*c*x**2 - 2*c*x + 11*c - 3*x**2 - 2 wrt c?
-18*x**2 - 2*x - 20094
What is the derivative of -403*u**3 - u**2 - 4*u + 113665 wrt u?
-1209*u**2 - 2*u - 4
Find the third derivative of 57*n*p**4 - 929*n*p**3 - 706*n*p**2 + 6*n + 3*p**4 + p**3 - 4*p**2 - 2*p wrt p.
1368*n*p - 5574*n + 72*p + 6
Find the second derivative of -15192*b**3 - b**2 + 580059*b wrt b.
-91152*b - 2
What is the second derivative of -4715192*z**2 + 2322574*z?
-9430384
Find the second derivative of 343443*i*j**3*v**2 - 8*i*j**3 + i*j**2*v + 8*i + 6*j**3*v**2 + 140*j**3*v wrt v.
686886*i*j**3 + 12*j**3
Find the second derivative of -253*h**3 + 100*h**2 - 651*h - 25 wrt h.
-1518*h + 200
What is the second derivative of 3*f**2*g**2*h**2 + 229*f**2*h**2 + f*g**2*h**2 + 5*f*g + 3*g**2*h**2 + 246*g**2*h wrt f?
6*g**2*h**2 + 458*h**2
Find the second derivative of -70011*g**5*i + 2*g*i - 19*g + 10*i - 3 wrt g.
-1400220*g**3*i
What is the derivative of 2*c**3 - 9153*c - 14505 wrt c?
6*c**2 - 9153
Differentiate 272199*i*z + 2*z - 149709 with respect to i.
272199*z
Differentiate 175*a**3*k**2 - 37337*a**3 - a**2*k**3 + 11*k - 1 wrt k.
350*a**3*k - 3*a**2*k**2 + 11
What is the derivative of -20*f**3*x + f**3 - 146*f**2*i*x**3 + f**2 - 1456*f*i - i*x + i wrt x?
-20*f**3 - 438*f**2*i*x**2 - i
What is the first derivative of -791892*b**3*h*n - 44029*b**3*n**2 - b*h*n**2 - 2 wrt h?
-791892*b**3*n - b*n**2
What is the third derivative of -1514351*l**4 + 8*l**2 - 21376*l?
-36344424*l
Find the second derivative of -29*v**4 - 131*v**3 + v**2 - 520594*v - 2 wrt v.
-348*v**2 - 786*v + 2
Find the second derivative of -3796546*p**3 + 157*p - 4005.
-22779276*p
What is the third derivative of 4091*n**3*x**2 - 2*n**3*x - n**3 + 871*n**2*x + 8*n*x**2 wrt n?
24546*x**2 - 12*x - 6
What is the third derivative of -2*l**6 + 112379*l**5*z - 70*l**2 + 88*l*z wrt l?
-240*l**3 + 6742740*l**2*z
Differentiate 2*b*f*y + 91*b*f + 119*b*y + 28*b - 39*f*y + 1 wrt f.
2*b*y + 91*b - 39*y
Find the second derivative of 63696*x**4 + 2*x**2 - 13627*x - 24 wrt x.
764352*x**2 + 4
Differentiate 3*a**2*g - a**2 - 62*a*g - 220*a - 124*g - 969 with respect to a.
6*a*g - 2*a - 62*g - 220
What is the second derivative of 99*b**5 + 103*b**4 - 2*b**3 + 44*b?
1980*b**3 + 1236*b**2 - 12*b
What is the second derivative of 699123*u**3 + 1513080*u?
4194738*u
Find the third derivative of 11106*k**6 + 2*k**3 - 128375*k**2.
1332720*k**3 + 12
Find the third derivative of -310999*u**5 + 397306*u**2 wrt u.
-18659940*u**2
Differentiate a**2*c + 6*a**2*v - 27*a**2 - 5132*a*c*v + 13 wrt v.
6*a**2 - 5132*a*c
What is the second derivative of -6*a**3*u**3 + 1033*a**3*u**2 + 2*a*u**3 + 98574*a wrt a?
-36*a*u**3 + 6198*a*u**2
Find the second derivative of 111914*t**5 - 1573*t + 4 wrt t.
2238280*t**3
Differentiate 34518*o*z**2 + 5*z**2 + 6167 with respect to o.
34518*z**2
Find the second derivative of -752782*k**2 - 871428*k.
-1505564
Find the third derivative of 11779*b**3*p**3 + 2*b**3*p**2 - 109603*b**2*p + b*p**2 + 7*p**4 - 1 wrt p.
70674*b**3 + 168*p
Differentiate -451778*v**2 - 181684 wrt v.
-903556*v
Find the first derivative of 247*x**3*z**2 + 5276*x**3 - 8*x*
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the tens digit of m(6)?
8
Let q(o) = 13*o - 62. Let y be q(-6). Let x = y - -140. Suppose x = -4*k - 46 + 422. What is the tens digit of k?
9
Suppose 0 = 3*s + 5*s - 32. Suppose -3*n + s*h = -1467, -3*n + 1370 = -h - 97. What is the units digit of n?
9
Let i = 45595 + -23875. What is the ten thousands digit of i?
2
Let i(z) = -282*z**3 + 3*z**2 + 6*z - 8. Let n(b) = -b**3 - b**2 + 1. Let t(d) = -i(d) - 2*n(d). What is the hundreds digit of t(1)?
2
Suppose -136 + 106 = 6*g. What is the units digit of g/5*(2 + -322 + -1)?
1
Let j(f) = -f**3 + 36*f**2 - 135*f - 79. What is the units digit of j(20)?
1
Suppose -1470004 - 807076 = -40*x - 25*x. What is the hundreds digit of x?
0
Let a = -190 - -280. Let r = a + -65. Suppose -135 = -f + r. What is the tens digit of f?
6
Suppose -3*r + 2*r = -247. Let i = -5 + 10. Suppose r = 3*k - 4*l, 2*k = -i*l + 109 + 94. What is the units digit of k?
9
Suppose -r + 4*a + 1436 = 0, 3*r + 2*r - 7204 = -4*a. Suppose -z + 350 = -3*n - n, 4*z + 4*n - r = 0. What is the hundreds digit of z?
3
Suppose 17*r - 24*r = 2982. Let f = -281 - r. Suppose 0 + f = 5*d. What is the units digit of d?
9
Let j(o) = 34*o - 3 + 28*o + 1. Let z be (-171)/(-114) - (-4)/8. What is the units digit of j(z)?
2
Suppose 2*v + 5*y = 9719, -5*v - 11*y + 16*y + 24350 = 0. What is the tens digit of v?
6
Let v(u) = -111*u**3 - 2*u**2 - 2*u - 1. Let a(s) = -20*s + 12. Let h be a(-4). Let j = h - 93. What is the tens digit of v(j)?
1
Let r(o) = -o**2 - 9*o - 16. Let k be r(-12). Let q = k - -166. Suppose 254 - q = 2*j. What is the tens digit of j?
7
Suppose 6*y - 7 - 71 = 0. Suppose -y*n - 477 = -1803. What is the units digit of n?
2
Let x(b) = b**3 + 8*b**2 + 4*b + 35. Let q be x(-8). Suppose -f - q*k + 496 + 249 = 0, 3*k = 3*f - 2295. What is the units digit of f?
0
Suppose 4*t = -0*t - 4*o + 7000, -6998 = -4*t - 5*o. Let u = t + -670. What is the thousands digit of u?
1
Let y = 755 - 781. Let s(z) = 7*z + 254. What is the units digit of s(y)?
2
Let z(h) = -h**2 - 46*h - 83. Let a be z(-2). Suppose -7646 = -a*g - 2251. What is the hundreds digit of g?
0
Let y = -63 + 62. Let k(c) = -464*c**3 - 4*c - 3. What is the tens digit of k(y)?
6
Suppose -4*d - 5*d + 625506 = 33*d. What is the thousands digit of d?
4
Suppose 2*h - 2*g = g + 79, -4*h + 173 = -g. Suppose -a - 2 = -2*a. Suppose 2*b + 224 = 5*m - a*b, 0 = -m + b + h. What is the units digit of m?
8
Suppose 23*l = 391 + 1058. Suppose -5550 = l*t - 68*t. What is the hundreds digit of t?
1
Let q(k) = 662*k + 2449. What is the tens digit of q(5)?
5
Let r = 22592 + -15768. What is the thousands digit of r?
6
Suppose 0 = -2*t - 3*l + 21936, -2*t = -57*l + 53*l - 21894. What is the units digit of t?
9
Let z(h) = -h**3 + 4*h**2 + 4*h + 7. Let s be z(5). Suppose -2*m = s*l - m - 2629, -4*m = -12. What is the tens digit of l?
1
Let y = 181 + -177. What is the hundreds digit of (-1 + y)/(-3*1/(-175))?
1
Let u be (-26)/(-39) + 7/3. Suppose -2*z - u*y = 0, 3*y - 8 = -5*z + 1. Suppose 243 = 2*i - z*w, -4*i + w + 119 = -3*i. What is the hundreds digit of i?
1
Suppose -s + 2*s - 33 = 2*o, -5*o - 4*s - 76 = 0. Let f be (o/(-24)*-185)/((-4)/6). Let b = f + 73. What is the tens digit of b?
5
Suppose -5*a = -5*u + 35170, 0 = 3*u - a + 7180 - 28274. What is the thousands digit of u?
7
Suppose 0 = -2*p - 4*h - 3546, -5334 = 4*p - p + h. Let m = p + 3166. What is the thousands digit of m?
1
Let r(n) = 3*n**3 + 29*n**2 - 11*n - 8. Let l be r(-10). Suppose -1262 = -l*y - 208. What is the hundreds digit of y?
5
Let m = 42655 + -25365. What is the thousands digit of m?
7
What is the hundreds digit of 10/(-30) + 134397/54 + 1/(-2)?
4
Let t = 1956 + -1357. Let m = -408 + t. What is the tens digit of m?
9
Suppose -3840 = 9*b - 15*b. What is the units digit of b?
0
Let i(t) = -t**3 - 11*t**2 + 14*t + 243. Let v be i(-10). Suppose 0 = r + x - 2098, -v*r + 5*x + 6539 = 245. What is the thousands digit of r?
2
Let d be (26 + (-16 - -8))/(9/12). Suppose -34*m + d*m + 6600 = 0. What is the units digit of m?
0
Let p be ((-10932)/24)/(2/(-4)). Suppose 3*m = -8*f + 3*f + p, -4*f + 1501 = 5*m. Suppose 2*x + i = -38 + 240, -3*x + m = 3*i. What is the tens digit of x?
0
Suppose 3*g - 951 = -0*g - 4*l, -4*l = -g + 333. Suppose 0 = -5*z + 79 + g. Suppose z + 195 = 5*a. What is the tens digit of a?
5
Suppose 5*j = -0*j + 25. Suppose 0 = j*x - b - 1374, 0 = 2*x + 3*x + 4*b - 1354. What is the units digit of x?
4
Let j(k) = 11*k**3 - 12*k**2 + 68*k - 53. What is the tens digit of j(11)?
8
Let x = 198 + -152. Let m(l) = 4*l + 48. What is the units digit of m(x)?
2
Let y = 135 + -142. Let x be (2*-5)/(14/y). Suppose -x*o = -o - 692. What is the hundreds digit of o?
1
Let h = 264 + -259. What is the hundreds digit of (-6 + h - 2) + 423?
4
Suppose 513 = -9*o - 27. Let w = 172 + o. What is the tens digit of w?
1
Let r be (40320/(-1200))/(3/(510/(-4))). Let v = r - 154. What is the hundreds digit of v?
2
Suppose 0 = 8*t + 35 + 373. What is the tens digit of 15799/42 - (3 - t/(-18))?
7
Let s be 171/(-6)*(-676)/39. Let m = s - 179. Suppose -m = -4*b + 237. What is the units digit of b?
8
Let j(n) = 23*n - 109. Let r = 255 - 237. What is the hundreds digit of j(r)?
3
Suppose 18 = 2*l - 4*q, 2*l + 0*q = 3*q + 16. Let g = 1737 + -880. Suppose l*x = -252 + g. What is the tens digit of x?
2
Let i = -7957 + 14782. What is the tens digit of i?
2
Let d(l) = -31*l**2 - 132*l - 1. Let v(h) = 11*h**2 + 44*h. Let q(g) = -3*d(g) - 8*v(g). What is the hundreds digit of q(-13)?
2
Let g(q) = -q**2 - 7*q - 2. Let z = 27 - 33. Let u be g(z). What is the tens digit of (15/u)/(6/(-32)*-1)?
2
Suppose 32*q + 19 = 211. Suppose -q*l + 4927 = 7*l. What is the units digit of l?
9
Suppose 11*i - 6*i = 15. Let r = 6 + i. Let j(k) = -k**3 + 10*k**2 + 4*k + 1. What is the units digit of j(r)?
8
Let h be (54 + -3)/(7/(-21)). Let k be -2*(h/6 - 2/2). Suppose 5*r - 92 = k. What is the units digit of r?
9
Let i(d) = d**3 - 5*d**2 - 22*d - 5. Let s be i(11). Let w = 683 - s. What is the hundreds digit of w?
2
Suppose -14 = -2*s - 10. Let w be 1/s*2*159. Let i = 282 - w. What is the units digit of i?
3
Let l(z) = -z**3 - 22*z**2 - 128*z - 52. What is the ten thousands digit of l(-37)?
2
Let o(a) = -13*a**2 + a. Let u be o(-1). What is the hundreds digit of -12*(6 - 5)*u?
1
Let t(d) = -86*d + 40. Let p be t(-19). Suppose 5*w + p = -4*w. What is the units digit of (w/4)/(21/(-28))?
2
Let g(m) = -m**3 - 21*m**2 - 31*m - 354. What is the hundreds digit of g(-28)?
0
Suppose 3*z + 1 + 5 = 0, 0 = q + 2*z - 104. Let i = -176 + q. Let p = 74 + i. What is the units digit of p?
6
Let t(a) = -10*a + 133. Suppose -6*s - 4*s = -20. Suppose -5*o - 3*u + 3 = 0, -o + 6*o - s = -2*u. What is the hundreds digit of t(o)?
1
Let m be 3 + (-1 - 0 - (-10)/(-5)). Suppose 4*y + 3*y - 2156 = m. What is the units digit of y?
8
Suppose -2*g = -2*g + 4*g. Suppose g*y = -4*y. Suppose 6*c - 888 = -y*c. What is the hundreds digit of c?
1
Let a(n) = 127*n**3 - 42*n**2 + 11*n - 5. What is the ten thousands digit of a(5)?
1
Let d(c) = -147*c - 42. Let q be d(-9). Suppose 0 = -88*x + 91*x - q. What is the units digit of x?
7
Let y(i) = -6 - 519*i + 528*i - i**3 - 2*i**3 + 3*i**2 - 4. What is the units digit of y(-5)?
5
Let b = 60374 - 40029. What is the tens digit of b?
4
Let s be -7 + -1 - (-26844 + -1). Suppose 13*m - s = -34*m. What is the hundreds digit of m?
5
Suppose -5*a + 474 = -14*p + 15*p, 0 = -5*p - 4*a + 2475. Suppose 3061 = 10*i - p. What is the tens digit of i?
5
Let b be (13/(-4) + 3)*(1 + -1). Suppose b = -n - 2*k - 3*k + 616, 601 = n + 2*k. What is the hundreds digit of n?
5
Suppose -5*d + 5*h = -35020, -34452 - 553 = -5*d + 2*h. What is the tens digit of d?
9
Suppose 4*w - 35 = 11*w. Let r(g) = -3*g**3 - 2*g**2 + 4*g + 34. What is the hundreds digit of r(w)?
3
Let y(j) = -j**3 + 3*j**2 + 5*j + 6. Let i be y(4). Suppose i*q = -1541 + 4531. What is the tens digit of q?
9
What is the tens digit of (74 + -4)*(-48618)/(-555)?
3
Suppose -54*l - 1435 = -59*l. Suppose 2*r = -4, c - r - l = -2*r. What is the tens digit of c?
8
Let j(q) = q**3 + 8*q**2 + 2. Let w be j(-8). Let m be w/2*((0 - -1) + 7). What is the units digit of 1 - (-12)/m*42?
4
Let u = 28 + -21. Suppose -3*z - 5*d - 146 = -u*z, -98 =
|
{
"pile_set_name": "DM Mathematics"
}
|
d - 1
Let g(k) = 7*k**3 - 4*k**2 - 6*k + 7. Suppose -12 = -3*d - 30. Let l(s) = s**3 - s**2 - s + 1. Give d*l(i) + g(i).
i**3 + 2*i**2 + 1
Let d(t) = -3*t. Let l(p) = -7*p + 4. Calculate 3*d(r) - l(r).
-2*r - 4
Let v(n) = -5*n**2 + 3*n + 3. Let h(q) = -37*q**2 + 290*q - 276*q + 11*q**2 + 14. Calculate 3*h(u) - 14*v(u).
-8*u**2
Let c(p) be the third derivative of p**6/15 + p**5/20 + p**3/2 + 30*p**2 + 1. Let n(j) = 55*j**3 + 20*j**2 + 20. What is -20*c(t) + 3*n(t)?
5*t**3
Let n(k) = -5*k**3 + 2*k**2 + 6*k + 1. Let p(c) = -18*c**3 + 8*c**2 + 25*c + 4. What is -9*n(j) + 2*p(j)?
9*j**3 - 2*j**2 - 4*j - 1
Let k(s) be the second derivative of -4*s**5/5 + 11*s**2 - 18*s + 2. Let z(x) = x**3 - 1. Calculate 2*k(n) + 44*z(n).
12*n**3
Let j(d) = d**2 + 3*d + 7. Let b(y) = 11. Let l(n) be the third derivative of -2*n**3/3 - 18*n**2. Let m(h) = -3*b(h) - 8*l(h). What is j(i) + 5*m(i)?
i**2 + 3*i + 2
Let l(u) = 3*u + 1 + 1 + 3. Let s = -7 + 0. Let k = s + 3. Let j(g) = 1. Determine k*j(i) + l(i).
3*i + 1
Let d(s) = 4*s. Let c be d(1). Let y(k) = 3*k**3 + 4*k**2 + 2. Let f(u) = u**2 - 8*u - 23. Let a be f(10). Let o(h) = 2*h**3 + 3*h**2 + 2. Give a*y(r) + c*o(r).
-r**3 + 2
Let h(u) = 14*u**3 + 4*u**2 - 3*u + 3. Let r(z) = 13*z**3 + 5*z**2 - 2*z + 2. Calculate -2*h(l) + 3*r(l).
11*l**3 + 7*l**2
Let j(g) = -6*g + 13. Let a(r) = 3*r - 6. Give -5*a(c) - 2*j(c).
-3*c + 4
Let n(h) = -1 - 3*h + 3*h - h. Suppose -7*b + 11*b + 4*l = -12, 0 = 4*b - 2*l - 18. Let i(q) = -2*q - 1. Give b*i(o) - 2*n(o).
-2*o
Let h(y) = 24*y**2 - 33. Let q(z) = -3*z**2 + 4. Let k be 42*(100/28 + -1). Let d be 295/(-9) + (-24)/k. What is d*q(j) - 4*h(j)?
3*j**2
Let p(i) = i**3 + 2*i**2 + 3*i - 3. Let n = -164 + 166. Let h(k) = 6*k**3 + 11*k**2 + 16*k - 16. Determine n*h(o) - 11*p(o).
o**3 - o + 1
Let y(i) = 11 + 4*i**2 + 6*i**3 + 5 + 3*i**2. Let q(n) be the third derivative of n**6/60 + n**5/30 + 5*n**3/6 + 33*n**2. Calculate 7*q(z) - 2*y(z).
2*z**3 + 3
Let t(w) = 831*w + 32. Let h(c) = 208*c + 7. Determine -9*h(u) + 2*t(u).
-210*u + 1
Let h(z) = z**2 + 2*z + 2. Let t be (26/(-156))/(2/(-24)). Let l(d) = 3*d**2 + 9*d + 9. Determine t*l(s) - 9*h(s).
-3*s**2
Let p(j) = 4*j**3 - 7*j**2 - 2*j - 2. Let d(n) = -n**2 - n. What is 2*d(s) - p(s)?
-4*s**3 + 5*s**2 + 2
Let u(p) = -24*p**2 - 6*p. Let m(j) = -3*j**2 - j. What is -30*m(n) + 5*u(n)?
-30*n**2
Let l(y) = -2*y**2 - 6*y + 6. Let r(z) = 2*z**2 + 7*z - 8. Calculate -5*l(t) - 4*r(t).
2*t**2 + 2*t + 2
Let j(i) = 35*i - 7. Let x(r) = -14*r + 4. Give -3*j(p) - 7*x(p).
-7*p - 7
Let q = -4 - -5. Suppose q = -0*z - z. Let o(f) = 0*f - f + 4*f - 4*f. Let x(m) = -1. Give z*o(w) + 2*x(w).
w - 2
Suppose 26 = 5*k + p, 4*k = 5*k + 2*p + 2. Let r(o) = 2*o**2 + o - 1. Let j(v) = -179*v**2 - v + 0*v + 177*v**2 + 1. Calculate k*j(h) + 5*r(h).
-2*h**2 - h + 1
Let p(g) = -5. Let c(a) = a + 11. Suppose 0 = -6*y + 9*y - 6. Let j be y*2*2/4. Determine j*c(n) + 5*p(n).
2*n - 3
Let s(m) be the first derivative of -7*m**4/4 + 4*m**3/3 + 188. Let d(r) = 13*r**3 - 7*r**2. Calculate 3*d(k) + 5*s(k).
4*k**3 - k**2
Let m(h) = -5*h**2 - 12*h - 6. Let w(g) = -5*g**2 - 10*g - 5. Give -5*m(y) + 6*w(y).
-5*y**2
Let j(w) = -12*w - 2*w + w**2 + 8*w + 2*w**2. Let p(y) = y**2 - y. Calculate j(v) - 6*p(v).
-3*v**2
Let x(r) = -2*r**2 - r - 1. Let b(z) = -214*z**2 + 2*z + 2. What is b(s) + 2*x(s)?
-218*s**2
Let a(c) = -c**3 - c**2 - c - 1. Let q(g) = 146*g**3 + 4*g**2 + 4*g + 4. Give -4*a(k) - q(k).
-142*k**3
Let j(l) = l + 1. Let i(r) = 178 - 100 - 77. Determine 4*i(w) - 3*j(w).
-3*w + 1
Let l(t) = -77*t + 5. Let j(x) = -4002*x + 261. Give -5*j(k) + 261*l(k).
-87*k
Let u(b) = -30*b - 26. Let d(v) = 30*v + 22. Calculate -6*d(y) - 5*u(y).
-30*y - 2
Let a(v) = 424*v**2 + 6*v - 6. Let f(r) = r**2 + r - 1. Determine a(j) - 6*f(j).
418*j**2
Let b(c) = -45*c**2 + 17*c + 14. Let f(d) = 15*d**2 - 6*d - 5. What is 6*b(r) + 17*f(r)?
-15*r**2 - 1
Let u(l) = 5*l**3 + 2*l**2 - 4*l. Let q(m) = -5*m**2 + 2*m + 69*m**3 - 84*m**3 + 9*m. Calculate -4*q(k) - 11*u(k).
5*k**3 - 2*k**2
Let x(g) = 4*g**3 + g**2 - 4*g - 12. Let c(y) = 4*y**3 + y**2 - 5*y - 14. Calculate -4*c(u) + 5*x(u).
4*u**3 + u**2 - 4
Let d(q) = q. Suppose 5*y = 0, 7*x + 2*y = 12*x - 20. Let o(h) = h. Let k(a) = 12*a. Let m(i) = -2*k(i) + 27*o(i). Calculate x*d(n) - m(n).
n
Suppose 8 - 13 = -z + 2*m, 4 = -2*z - 3*m. Let i(q) = -q - 1. Let p(l) = 3*l + 14. Determine z*p(u) + i(u).
2*u + 13
Let r(a) = -195*a + 8. Let y(n) = 194*n - 10. Give 5*r(v) + 4*y(v).
-199*v
Let i(f) = 14*f**2 + 8*f - 5. Let v(t) = -9*t**2 - 5*t + 3. Give -5*i(z) - 8*v(z).
2*z**2 + 1
Let z(g) = 35*g**3 - 136*g**2 + 8. Let h(s) = 13*s**3 - 45*s**2 + 3. Give 8*h(k) - 3*z(k).
-k**3 + 48*k**2
Let u(o) = -7*o**2 + 7*o + 4. Let s = 15 - 21. Let t(n) = 15*n**2 - 15*n - 9. Let b = -46 + 33. Give b*u(w) + s*t(w).
w**2 - w + 2
Let h(u) = 6*u**3 - 3*u**2 + 2*u + 2. Let y(z) = -11*z**3 + 5*z**2 - 3*z - 4. Determine -5*h(g) - 3*y(g).
3*g**3 - g + 2
Let r(m) = -27*m + 2. Let l(o) = -81*o + 8. Give -2*l(x) + 7*r(x).
-27*x - 2
Let k(j) = j + 2. Let i(g) = g. Let n be i(4). Let r(t) be the second derivative of t**2/2 + 4*t - 462. Give n*r(s) - 2*k(s).
-2*s
Suppose 12 = 5*k - 8. Let v(r) = -7*r**2 - 5*r + 4. Let j(y) = 3*y**2 + 2*y - 2. Give k*v(d) + 9*j(d).
-d**2 - 2*d - 2
Let g(b) = -1. Suppose 2*n - 3*q = 4, 2*n - 3 - 5 = 2*q. Let a(r) = -2*r - 8. Calculate n*g(i) - a(i).
2*i
Let w(m) = 7*m**3 - 9*m + 2*m**3 - 24*m**3 + 7*m**3. Let y(o) be the first derivative of 0*o - 1 + 0*o**3 + 1/2*o**4 + o**2. Give 2*w(h) + 9*y(h).
2*h**3
Let v(k) = -5*k**2 - 5*k + 7. Let z(t) = 11*t**2 + 10*t - 16. Give -9*v(r) - 4*z(r).
r**2 + 5*r + 1
Let q(i) = 4*i**2 - 8*i + 68. Let d(j) = 13*j**2 - 26*j + 205. Determine -2*d(y) + 7*q(y).
2*y**2 - 4*y + 66
Let w(u) = -u + 7. Let o be w(5). Let y(c) = 2*c**2 - 4*c + 2. Suppose 0 = -k + 5*k. Let a(t) = -t**2 + k + 0*t + 2*t**2 - 2*t + 1. Give o*y(l) - 5*a(l).
-l**2 + 2*l - 1
Let j(f) = 13*f + f + 0*f + 7 - 5*f. Let w(c) = 5*c + 4. What is -4*j(s) + 7*w(s)?
-s
Let v(w) = -w - 1. Let o(m) = -m**3 - 31*m**2 - 58*m + 3. Let k be o(-29). Let h(c) = 5*c**3 - 3*c - 3. Calculate k*v(s) - h(s).
-5*s**3
Let p(c) = 2*c**2 + 2*c. Let s(k) = 11*k**2 - 3*k - 6. Let x(a) = -9*a**2 + 3*a + 5. Let r(t) = -5*s(t) - 6*x(t). Determine 3*p(g) + 2*r(g).
4*g**2
Let w = 140 + -248. Let b be (-18)/4*48/w. Let g(j) = j**3 + 2*j**2 - 2*j. Let q(c) = -2*c**3 - 3*c**2 + 2*c - 1. What is b*q(a) + 3*g(a)?
-a**3 - 2*a - 2
Suppose -2*p + 5*i = 35, -4*i + 26 = -2*p - 4. Let o(h) = -4*h - 11*h - 12 + 3. Let d(v) = -4*v - 5 + 0*v - 4*v. Determine p*o(n) + 9*d(n).
3*n
Let m(a) = -a**3 - 4*a**2 - 2. Let h(k) = -k**2 + k - 1. Let b = -8 - -3. Let c = b + -9. Let y = 13 + c. Give y*m(p) + 2*h(p).
p**3 + 2*p**2 + 2*p
Let q(r) = -16*r - 97. Let z(c) = 5*c + 33. What is -6*q(h) - 17*z(h)?
11*h + 21
Let b(w) = -8*w - 9. Let q = -367 - -361. Let v(p) = -23*p - 26. Calculate q*v(t) + 17*b(t).
2*t + 3
Let p(m) = m - 2. Let o be (26/(-22) - 4/(-22)) + -2. Let w(l) = 2*l - 2. What is o*w(g) + 2*p(g)?
-4*g + 2
Let g(f) = -999*f - 99. Let v(y) = 40*y + 4. Calculate 4*g(i) + 99*v(i).
-36*i
Let u(o) = -11*o + 16*o + 5 + 1 - 2. Suppose 0 = -4*d - 1 - 3. Let i(r) = r + 1. What is d*u(v) + 2*i(v)?
-3*v - 2
Let q(y) = 53*y - 80*y + 34*y + 5. Let u(n) = -n - 1. Determine q(a) + 5*u(a).
2*a
Let b(o) = 948*o**3 + 7584*o**2 + 1896*o - 1896. Let r(k) = -k**3 - 4*k**2 - k + 1. Give -b(x) - 1896*r(x).
948*x**3
Let q(x) = x**3 - x**2 + 3. Let o(c) = 17*c**3 - 4*c**2 - 2*c + 6. Give -o(s) + 2*q(s).
-15*s**3 + 2*s**2 + 2*s
Let w(k) = -2*k**2 - 7*k - 4. Let l(b) = 3*b**2 + 9*b + 5. Calculate 5*l(r) + 6*w(r).
3*r**2 + 3*r + 1
Let a(z) = z**3 + 5*z**2 - 5. Suppose -n - r = -2, r + 4 = -3*r. Let v(h) = -8 + 2*h**n + h**2 - 5*h**2 + 12*h**2. Give -8*a(o) + 5*v(o).
2*o**3
Let t(p) = -4*p - 7. Let x = 20 - 18. Suppose x*a = -0*a + 12. Let l(d) be the first derivative of 3*d**2/2 + 6*d + 2. Give a*l(r) + 5*t(r).
-2*r + 1
Let x be (4 + 0)*((-20)/(-5))/(-16). Let v(g) = -5*g + 13. Let q(s) = 2*s - 6. Let y(k) = 13*q(k) + 6*v(k). Let r(t) = -t. Determine x*y(z) + 3*r(z).
z
Let c(z) = 1 + 5 + 3 - 3 - 2 + 8*z. Let g(j) = 15*j + 7. What is 5*c(l) - 3*g(l)?
-5*l - 1
Let q(c) = -c + 1. Suppose n - 33 = -30. Suppose -19 = -4*z + n*u,
|
{
"pile_set_name": "DM Mathematics"
}
|
-13
d
Which is the fourth biggest value? (a) -5 (b) -4 (c) -334 (d) -2/207
c
Which is the fourth biggest value? (a) 1/5 (b) -66 (c) -9.7 (d) -1/6
b
What is the third biggest value in 4, -47, -2/7, 0.4, -1?
-2/7
What is the third smallest value in -1/23205, -7, -0.2?
-1/23205
Which is the fourth biggest value? (a) -5 (b) 14/173 (c) -16 (d) 0
c
Which is the second biggest value? (a) 0.0499 (b) -0.07 (c) 0.4 (d) -33
a
Which is the third biggest value? (a) 1975 (b) -0.05 (c) -5 (d) -7
c
Which is the second biggest value? (a) -3.6 (b) -7/67 (c) -1 (d) -3 (e) 0.09
b
Which is the second biggest value? (a) -24 (b) 1 (c) 23
b
Which is the smallest value? (a) 2/7 (b) 95/3 (c) -46
c
Which is the third smallest value? (a) 2/55 (b) 15142 (c) 1/4
b
Which is the fourth biggest value? (a) 2 (b) 3375/4 (c) 1 (d) -0.4
d
What is the sixth biggest value in -1/9, 0, 4, -1/3, -2/17, -0.12?
-1/3
What is the second biggest value in 83, -2, -0.1, -124, -0.5?
-0.1
Which is the third smallest value? (a) -0.722 (b) -0.16 (c) 0.4 (d) -0.5
b
Which is the second biggest value? (a) -1095 (b) 0.5 (c) -0.2
c
What is the biggest value in -55, 5, -3/7, 15, -2/5?
15
Which is the fifth biggest value? (a) 0.2 (b) 17 (c) -0.2 (d) 2/927 (e) -2/3
e
What is the second biggest value in 58/15, 0.3, -14, -3?
0.3
Which is the sixth biggest value? (a) -0.3 (b) 4 (c) 0 (d) -4/3 (e) -0.01 (f) -191
f
What is the third biggest value in 0, 0.1519, -31, 1/5?
0
What is the second smallest value in 2/3, 82.439, -2?
2/3
Which is the smallest value? (a) -1/5 (b) -164453 (c) 3
b
What is the second smallest value in -5, 801, -25?
-5
Which is the third biggest value? (a) 2/7 (b) 5 (c) 0.3 (d) -3 (e) 314 (f) 105
b
What is the third biggest value in 2, 15/41, -8, 4/7?
15/41
What is the fourth biggest value in -53, -0.1, -1/4, 0.3?
-53
Which is the second biggest value? (a) -10 (b) -5 (c) 3/5 (d) -3/185
d
What is the third biggest value in 3, 2, 5, -0.4, -0.2?
2
Which is the fifth biggest value? (a) -4/3 (b) 0.5 (c) 2/5 (d) 96 (e) 1.9
a
What is the second biggest value in 25, -4/13, 58?
25
What is the fourth smallest value in 3.1, -0.2, 4, -10, -2?
3.1
Which is the third biggest value? (a) 2 (b) 0.3 (c) -19/5064
c
What is the third biggest value in 1/1243, 20, 4, 0.4?
0.4
What is the biggest value in -2, 86/21, -80?
86/21
What is the biggest value in 0.3, 0.5, -3, 151/12?
151/12
Which is the second smallest value? (a) -8/73 (b) -5 (c) -0.5 (d) -6
b
What is the second biggest value in 3/4, 33, 51, 2/7?
33
Which is the second smallest value? (a) -10/9 (b) 84.1 (c) -0.033
c
Which is the smallest value? (a) 12 (b) 4/3 (c) 116 (d) -4 (e) -2
d
What is the biggest value in -1/11, -2/15, -5.666, 0.5, 0, -4?
0.5
What is the second biggest value in 0.3, -5, -2, -7, -1?
-1
Which is the fourth biggest value? (a) -9/2 (b) -11 (c) 5 (d) -853
d
Which is the second smallest value? (a) -109 (b) 422 (c) 2/7
c
Which is the third smallest value? (a) 3 (b) 2 (c) 1/12 (d) 1 (e) 0.3 (f) -2/125
e
What is the sixth smallest value in 1, -0.7, 0.2, -47, 2, 4?
4
What is the smallest value in -0.1, -7, 280, 2/11, -0.4?
-7
Which is the second smallest value? (a) -2/5 (b) 31/3 (c) -2 (d) 1
a
Which is the third smallest value? (a) -16 (b) -2/511 (c) 0.5
c
What is the third biggest value in -3/8, 1/4, 27, 0.3, -2/325, -2?
1/4
Which is the smallest value? (a) 1 (b) 2 (c) -0.94 (d) -28/43
c
What is the fifth biggest value in -142, 1/7, -0.1, -2/13, 7/3?
-142
Which is the second biggest value? (a) -16 (b) 2588/3 (c) 3
c
What is the biggest value in -1/18, 3, -5, -16/101, 0.2?
3
What is the third smallest value in -5, -3/4, -107/412?
-107/412
Which is the fifth smallest value? (a) -2/7 (b) 29 (c) -20 (d) -0.1 (e) 5
b
Which is the fifth smallest value? (a) -0.2 (b) -3/7 (c) -197 (d) 0 (e) 5
e
What is the third biggest value in 17, 1/5, 0.3, 5, 1?
1
Which is the second biggest value? (a) -1/17 (b) 16 (c) -121
a
Which is the third biggest value? (a) -4 (b) 1 (c) -2 (d) 917 (e) 1/3
e
Which is the fifth smallest value? (a) 7 (b) 5 (c) -1/285 (d) 0.3 (e) 2
a
Which is the third smallest value? (a) 61 (b) -26 (c) 29
a
What is the fourth smallest value in -1.2, 5, 5.3, -0.4, -4?
5
Which is the smallest value? (a) -2/5 (b) -191 (c) -4/15 (d) 2.2 (e) 0.2
b
What is the third biggest value in -1/35, 3, 5, -0.1?
-1/35
Which is the second biggest value? (a) 8663 (b) -5 (c) -1/9
c
What is the third smallest value in -6798, -3, -0.505?
-0.505
Which is the smallest value? (a) -2 (b) -2/7 (c) -58378
c
Which is the third biggest value? (a) -3/20 (b) 1/3 (c) 0.34
a
Which is the third smallest value? (a) 2 (b) -1 (c) 3 (d) 167174
c
What is the fourth biggest value in -28, -0.06, -3, 85, -4?
-4
Which is the biggest value? (a) 4 (b) 504 (c) -27
b
What is the third biggest value in 3, -0.2, 3420?
-0.2
What is the second smallest value in -1.5, 117, 3/5, 4?
3/5
Which is the third smallest value? (a) 13 (b) 2/3 (c) -3/8
a
Which is the fourth smallest value? (a) 1.8 (b) -0.14 (c) 4 (d) 145/24
d
What is the fifth smallest value in 0.6, 1/3, -0.83, -5, -1?
0.6
Which is the smallest value? (a) 11 (b) 25 (c) -2/99 (d) 0.2
c
What is the fourth smallest value in 4, -2088, -3, 11?
11
Which is the sixth smallest value? (a) 108 (b) 29 (c) -1/3 (d) -1/5 (e) -5 (f) 0.3
a
Which is the third smallest value? (a) 1 (b) -2 (c) 0.48 (d) 10/7 (e) -2/9
c
Which is the sixth smallest value? (a) 0.5 (b) -2/13 (c) -10 (d) -1/2 (e) 0.3 (f) 133
f
Which is the biggest value? (a) 0.103 (b) 33 (c) -2 (d) -1
b
What is the second smallest value in 38/17, 0, -0.4, -0.0486, 0.3?
-0.0486
What is the smallest value in 6, -1, 1/2, 98, -3/4, 3/5?
-1
What is the third smallest value in -4, -21, -1/8, -2/11, 0, 2/3?
-2/11
Which is the fifth smallest value? (a) -6/11 (b) -7 (c) -0.5 (d) 0.1 (e) 1/6
e
What is the biggest value in -19762, 2/5, 0.1?
2/5
What is the third biggest value in 0.083, 1, 3, -1/9, -4?
0.083
What is the biggest value in -4, 2, 6813?
6813
Which is the fourth smallest value? (a) -5 (b) -524 (c) -1/3 (d) -190
c
What is the biggest value in 14, -97, -3/5?
14
What is the smallest value in -3, 5, -2/83, 34, 0.3?
-3
Which is the smallest value? (a) 3 (b) -162986 (c) -2
b
Which is the smallest value? (a) -3964 (b) 3 (c) -2/21
a
Which is the fourth smallest value? (a) 3 (b) -2 (c) 11/6 (d) 5 (e) -0.09 (f) -2/15
c
What is the fourth biggest value in 0.4, -0.5, -0.044, -2/161?
-0.5
What is the sixth smallest value in 0.3, -0.11, -0.3, -43, -2/25, -5/3?
0.3
What is the second biggest value in 29208, -0.01, 3, -0.1?
3
Which is the fifth biggest value? (a) 59 (b) 178 (c) 6 (d) 0.3 (e) 1
d
What is the second biggest value in -1/9, 2/3, 7, 88, -28?
7
What is the third smallest value in -37, 7/3, 0.4, -44, -2/11?
-2/11
Which is the biggest value? (a) -2 (b) 0 (c) -1/3 (d) -132
b
What is the fifth smallest value in -3, -3/8, 2, -0.01, 3, 235?
3
What is the second biggest value in -3/2, -20, 0.4, -1/4, 112?
0.4
Which is the second smallest value? (a) 1 (b) 2 (c) 0.2 (d) 1/2 (e) -5 (f) 1/20
f
Which is the second smallest value? (a) -15 (b) 2/13 (c) 719 (d) -4 (e) -0.4
d
Which is the second smallest value? (a) 5/2 (b) 11 (c) -1/236
a
Which is the second smallest value? (a) -0.5 (b) -18 (c) 1/6 (d) -0.1
a
Which is the biggest value? (a) 81 (b) -0.07 (c) -2/3 (d) -4 (e) 1/7
a
What is the fifth smallest value in -37, 7, 5, 0.5, -7?
7
Which is the third smallest value? (a) 14 (b) 44 (c) 0.027 (d) 6
a
What is the third smallest value in -0.5, -0.4, 3/8, 0.24, -1/5?
-1/5
Which is the sixth biggest value? (a) -4 (b) -0.1 (c) -1 (d) -81 (e) 2 (f) 0.0282
d
Which is the third smallest value? (a) 10 (b) 0.031 (c) 3 (d) -29
c
What is the second biggest value in 5, 587, -31, 0.1?
5
Which is the third biggest value? (a) 1 (b) -0.0019 (c) -3 (d) -5 (e) 1/3
b
What is the third smallest value in 3, 5/94, -1, 1.9?
1.9
What is the second smallest value in 0.4, -0.1, -0.5036, -7?
-0.5036
Which is the fourth smallest value? (a) 0.03 (b) -4 (c) -1/5 (d) -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
s the units digit of x?
6
Let q = 136 - -97. What is the units digit of q?
3
Let j = 1456 + 306. What is the tens digit of j?
6
Let j(x) = 2*x**3 - 252*x - 15. What is the thousands digit of j(13)?
1
Let s(g) = -809*g - 6. What is the units digit of s(-2)?
2
Let i = -74 + 89. Let w = i - -84. What is the units digit of w?
9
Let b(t) = -t**3 - 7*t**2 + 7*t - 8. Let c be b(-6). Let f = 52 - c. What is the hundreds digit of f?
1
Let o(w) = 7*w**3 + 4*w**2 - 4*w + 4. Let t(b) = 6*b**3 + 4*b**2 - 3*b + 3. Let j(n) = -5*o(n) + 6*t(n). What is the units digit of j(-2)?
2
What is the hundreds digit of (-21)/(-6)*(-2792)/(-14)?
6
Let a = 297 + 364. What is the tens digit of a?
6
Suppose 20*i - 306 = 2*i. What is the tens digit of i?
1
Let n = -821 - -1969. What is the hundreds digit of n?
1
Suppose -2206 = 5*a - 8026. What is the units digit of a?
4
Let b = -662 - -1027. Suppose y = -4*k + 188, 5*y - b = 3*y + 3*k. What is the tens digit of y?
8
Suppose 0 = q - 4*v + 8, -3*q - 2*v = -3*v + 2. Suppose q = -2*h - 0*h + 8. What is the units digit of -2 + h + -1 + 0?
1
Suppose -32*c + 16*c = -3616. What is the tens digit of c?
2
Let c(v) = -7*v**2 + v - 2. Let b be c(-2). Let f be (3/3 - b) + 1. Let z = f + -23. What is the units digit of z?
1
Let f(u) = u**3 + 14*u**2 + 13*u + 3. Let c be f(-13). Suppose c*b = -2*b + 400. Suppose 2*l = -5*h - 3*l + b, 2*h - 52 = 3*l. What is the units digit of h?
0
Let q(v) = -2 - 7*v + 11*v + 8*v + 5. Let b be q(-2). What is the units digit of 10/3 - (-7)/b?
3
What is the units digit of (-642)/(-12)*(-4 - (4 - 16))?
8
Suppose -38*l + 35*l = -2*c - 1762, -c - 2 = 0. What is the tens digit of l?
8
Let z(c) = 13*c**2 - c + 3. Let w be z(-3). Suppose -2*i + 192 = -5*m, 2*i + 5*m - 69 - w = 0. What is the tens digit of i?
9
What is the units digit of (-26)/91 - 1791/(-21)?
5
Suppose -x + 5*x - 44 = 0. Let l be (-2*1)/(13 - x). What is the units digit of 366/8 + l/(-4)?
6
Let y = 4 - 2. Suppose 8 = y*u - 0*u. Suppose x = -4*w + 20, 59 = -4*x + u*w + 159. What is the tens digit of x?
2
Let z(r) = 20*r - 22. Suppose 5*q - 29 + 19 = 0. What is the units digit of z(q)?
8
Suppose -p - 32 = -5*p. Suppose 6*z - 4 = p. What is the units digit of z?
2
Let l(m) = m**3 + 8*m**2 - 6*m - 6. Let z be l(-8). What is the tens digit of (-2)/7 - (-2238)/z?
5
Let o be 6/27 - 276/27. Let n = -7 - o. Suppose -102 + 30 = -n*u. What is the tens digit of u?
2
Let n = 152 - -203. What is the units digit of n?
5
Let a = 1123 + -655. Let y be 196/6 + 1/3. What is the tens digit of a/y + 4/(-22)?
1
Let d(n) = 2*n**2 - 17*n - 148. What is the hundreds digit of d(27)?
8
Let g be 1*-12 - (6 + -3). Let h be (-36)/g + (-4)/10. Suppose -2*r = 3*j - 151, -j + 0*j + 141 = h*r. What is the tens digit of r?
6
Let c(f) = -3*f**3 - 3*f**2 + 21*f - 16. What is the tens digit of c(-7)?
1
Suppose 4*m - 197 = -y, 910 = 6*y - y - 5*m. What is the hundreds digit of y?
1
Let q(n) be the third derivative of n**5/60 + 11*n**4/24 + n**3/6 - 5*n**2. Suppose -17 - 38 = 5*h. What is the units digit of q(h)?
1
Suppose 2*v = 3*k + 29, -k - 4*k = -v - 3. Suppose 5*g - 6*o + 2*o - v = 0, g + 2 = 4*o. What is the units digit of g?
6
Let f(q) be the third derivative of -3*q**4/8 + 31*q**3/6 - 12*q**2 + 2. What is the tens digit of f(-7)?
9
Let r be ((-8)/5)/(6/(-15)). Suppose -w + r = 1. Suppose 98 = w*g + 29. What is the units digit of g?
3
Let q(l) = -l**3 - 2*l**2 + l + 9. What is the hundreds digit of q(-7)?
2
Suppose -t + 3*t = 366. Let r = 119 - t. Let f = -36 - r. What is the tens digit of f?
2
Let h(r) = 23*r**2 + 25*r - 9. What is the tens digit of h(5)?
9
Let k = 4 - -7. What is the tens digit of k + -6 - (0 - 267)?
7
What is the thousands digit of (39 - -167)/(2/14)?
1
Let f(w) = -3*w - 4*w**2 + 0*w**2 + 2*w**2. Let s be f(-2). What is the units digit of 2 + s - (-11 - -2)?
9
Suppose -18*v = 17*v - 42035. What is the thousands digit of v?
1
Let m be (22/33)/((-2)/(-6)). Suppose 4*y - 16 = -m*n, -4*y + 2 = -3*y. What is the units digit of -2 - n/(4/(-5))?
3
Let i(v) = 2*v + 10. Let u(s) = s + 1. Let g(j) = i(j) - 3*u(j). Let m be g(0). Let z = m + -5. What is the units digit of z?
2
Let l = 32 + -45. Suppose 5*p + 4*q = 219 - 87, -5*p - 3*q + 129 = 0. Let f = l + p. What is the tens digit of f?
1
What is the tens digit of ((-56)/6)/(23/(-1725))?
0
Let k = -4 - -9. Suppose -4*n - 456 = -k*m, 5*n - 90 = -3*m + 154. What is the units digit of m?
8
Let j(n) = 3 - 8*n**3 - 4 + n + 3*n**2 - 3*n**3 + 3*n**3. What is the units digit of j(-2)?
3
Suppose -3*p + 12 = -6. Suppose -296*w = -295*w + 30. Let v = p - w. What is the units digit of v?
6
Suppose 16 = 4*g, -g = -3*w + 2*w + 112. What is the hundreds digit of w?
1
Let j(o) = o**3 + 19*o**2 + o - 38. What is the hundreds digit of j(-16)?
7
Suppose 4*x + 1721 = 4*q + 7*x, 3*q = x + 1294. What is the tens digit of q?
3
Let p(u) = -13*u + 2*u**3 - 9*u - 3*u**3 + 4*u - 14*u**2. Suppose 5*i + 73 = 8. What is the tens digit of p(i)?
6
Let n(t) = -11*t - 3. Let w be ((-3)/6 - 0)*46. Let h = -27 - w. What is the tens digit of n(h)?
4
What is the tens digit of (-14358)/(-21) - (-18)/63?
8
Let v = 13203 - 6901. What is the thousands digit of v?
6
Let i = 50 + -46. Suppose -13*u + 15*u = -4*n + 458, 0 = i*n - 2*u - 478. What is the tens digit of n?
1
Suppose 3*i - 10*l - 673 = -12*l, -2*i - 2*l + 452 = 0. What is the tens digit of i?
2
Let g(r) = -39*r + 123. What is the units digit of g(-27)?
6
Suppose i = -2*i + 465. Suppose i = 2*m + 5*w, -5*w + 5 = m - 65. Suppose -5*c + m = -80. What is the units digit of c?
3
Suppose 0*k = -2*k + 86. Suppose -4*j + 0*j - w = -k, 3*w - 8 = -j. Suppose l - j + 0 = 0. What is the units digit of l?
1
What is the units digit of 34 + 1590 + -7*1 + 7?
4
Let c = -50 + 53. Suppose c*j = -3*g + 273, -2*g - 5*j = -8 - 174. What is the tens digit of g?
9
Let r = -206 - -89. Let a = r - -278. What is the units digit of a?
1
Suppose -41*i + 28*i = -7176. What is the tens digit of i?
5
Let q(c) = -91*c + 8. Let f be q(-1). Let o = 227 - f. What is the tens digit of o?
2
Suppose -5*t + 14 = 3*x - t, 4*x - 16 = -4*t. Suppose l = -2*b + 185, -4*l + x*b + 230 = -530. What is the units digit of l?
9
Let d = 846 + -217. What is the tens digit of d?
2
Let i be (2 - (-156)/4)*(1 - 0). What is the tens digit of (-11 - -12) + i + -1?
4
Let t = -379 + 619. What is the units digit of t?
0
What is the hundreds digit of (248558/186)/(2/6)?
0
What is the thousands digit of ((-177)/12)/((-1)/76)?
1
Suppose 107*z = 100*z + 44226. What is the units digit of z?
8
Let l(r) = -7*r - 25. Let i be 141/(-15) + 6/(-10). What is the tens digit of l(i)?
4
Suppose 0 = 5*y - n + 5 - 34, 0 = -4*y - 4*n + 4. Suppose 2*v + y*m - 85 = 0, -97 = -2*v + 4*m + 33. Let u = v + -41. What is the units digit of u?
4
Suppose 0 = 2*n - 7 + 3. Suppose -n*o - 2*i + i + 44 = 0, -o = 5*i - 13. Suppose -2*q = s - o, -q + 2*q = 2*s - 26. What is the tens digit of s?
1
What is the units digit of 12/(-14) + 68235/105?
9
Let g(v) = v**2. Let n be g(-2). Suppose 6 = n*j - 6. Suppose j*k - 139 = -t, 2*t + 2*t = k - 29. What is the units digit of k?
5
Let x = 3158 - 1259. What is the tens digit of x?
9
Suppose -8*n + 4715 = 627. What is the units digit of n?
1
Suppose -5510 = -24*f + 54418. What is the units digit of f?
7
Let r(l) = -35*l**3 - l**2 + 1. Let v be r(-1). Suppose 65 + v = 4*t. What is the units digit of t?
5
Let i(n) = -n**2 - 8*n - 5. Let o be i(-5). Let z = o - 6. What is the units digit of z?
4
What is the hundreds digit of (15/(-75))/(2/(-2270))?
2
Suppose 0 = -3*s + 4*j + 5138, 6834 + 1710 = 5*s + 3*j. What is the hundreds digit of s?
7
Let x = 45 - -14. Suppose k + x = 3*u, 5*u - 2*u - 44 = -2*k. What is the units digit of u?
8
Let m(g) = g**2 - 4*g + 5. Let q be m(3). What is the hundreds digit of q/(-2)*2*1071/(-14)?
1
Let q = -175 + 510. What is the units digit of q?
5
What is the tens digit of (-2)/6*(-3412 - -7)?
3
Suppose -5*s = 3*c + 7, 5*c + s = -3*s + 10. Suppose 3*q + 5*j - 1 = 5, -j + c = 3*q. Suppose -7 - 23 = -q*g. What is the tens digit of g?
1
Let w = 1 + 4. Suppose -d + 6*d - 13 = -3*c, -35 = -3*d + w*c. What is the units digit of 30*d*(-2)/(-15)?
0
Let p be 0 + 3 + (-4 + 4 - 2). Let i(m) = 4 - 8*m**2 - 2*m + 52*m**2 - 2. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
86?
85.6
Total of 4 and 8189.
8193
Work out 1187139 - 0.5.
1187138.5
What is 6730199 minus -0.2?
6730199.2
What is -1.92 minus -354?
352.08
73.6 + -0.08
73.52
What is the difference between 2 and 318845?
318843
Work out -43 - -2.24.
-40.76
Put together -12.8 and -1.19.
-13.99
Add 0 and 11379.
11379
-0.136 - 10
-10.136
-0.851 + 0.4
-0.451
-74 - -2.3
-71.7
Add together 0.3 and 204661.8.
204662.1
-48 + 24
-24
Work out 26.32 + 30.5.
56.82
-3+10638.57
10635.57
What is the difference between 3 and 1058?
1055
What is -4 - 53.387?
-57.387
Calculate -815858 + -2.
-815860
What is 0.2503 minus 5?
-4.7497
What is 0.13 minus 0.248?
-0.118
Add together -0.1 and -36.3.
-36.4
Work out 18.88 + -2182.
-2163.12
What is -1.6 - -8.456?
6.856
Put together -0.2 and 10.273.
10.073
Subtract 0.017 from 24589.
24588.983
What is 85.44 plus 1?
86.44
What is -27731 minus 0.044?
-27731.044
Calculate -0.4 - 12.3073.
-12.7073
1.4 + -17
-15.6
What is 16.9 plus 7.19?
24.09
What is 5 plus 2121?
2126
What is 0.7 less than 21?
20.3
-7.385 - 0.1
-7.485
What is -144315 take away -0.07?
-144314.93
4 - 124457
-124453
Work out 1485 + 1.54.
1486.54
What is 0.13 plus -235?
-234.87
Put together -0.0727 and -0.02561.
-0.09831
Sum -2 and 0.4825.
-1.5175
-0.427 + 0.1
-0.327
What is the distance between 815 and 10?
805
Work out 222 - 0.07.
221.93
What is -0.039 plus 421?
420.961
Add together 0.272 and -8.
-7.728
What is the distance between -1.66 and -2479?
2477.34
Subtract 0.3 from -0.0425771.
-0.3425771
Subtract 0.454 from -8.
-8.454
What is -18 - -0.45?
-17.55
What is 0.03 minus -486241?
486241.03
Subtract 47 from -655.
-702
Work out -5094 + 0.4.
-5093.6
What is 220 less than 0.17?
-219.83
Subtract 336 from -0.038.
-336.038
Work out -0.07702 + 0.8.
0.72298
Add together 31125 and 3.
31128
What is the distance between -5 and -2481?
2476
What is 1 - -525?
526
What is 0.1407 - 25.32?
-25.1793
What is 0.0752 - 0.5?
-0.4248
2628 - -337
2965
Work out 0.06082589 + 0.3.
0.36082589
Sum -23240 and 12.
-23228
Calculate 27.3 + -407.
-379.7
What is 0.15 - 1.3?
-1.15
What is -0.01 + -63148?
-63148.01
What is 0.07 - -2414?
2414.07
Put together 0.2 and -1875449.
-1875448.8
Sum -4.3 and -740.
-744.3
-15.745+0.2
-15.545
What is 13.62 + -0.3?
13.32
Put together 3 and -26.08.
-23.08
Work out 3 - -1001.
1004
0.376+10.86
11.236
Work out -117 + -5.
-122
84+14.78
98.78
Add together -366975 and -0.2.
-366975.2
122674 - 5
122669
What is 3 less than -609?
-612
Sum 974702 and 0.1.
974702.1
Work out 0.24739 - 3.
-2.75261
0.1865+0.2
0.3865
Total of 107.3 and -17.
90.3
-1.16 - -0.6624
-0.4976
What is -8884 take away -16?
-8868
Calculate -6.4 - -3303.
3296.6
What is 0.53 less than -14614?
-14614.53
What is -945 plus 192?
-753
Add together 136 and 1806.
1942
Total of 3786 and -0.1.
3785.9
What is the difference between -1 and 228581?
228582
-612 + 0.69
-611.31
What is the distance between -11898 and 0.5?
11898.5
What is -9 plus 202?
193
What is -93 take away -88?
-5
Total of -0.2423993 and 4.
3.7576007
What is 13422 - -366?
13788
Sum -43.08 and 0.2.
-42.88
What is -0.1 less than -3398?
-3397.9
Subtract 487 from -2.817.
-489.817
What is -7857 take away 3?
-7860
-6995+0.9
-6994.1
Calculate 23.385 + 0.3.
23.685
Work out 863817 + -3.
863814
What is -0.0002 + -0.128?
-0.1282
What is -5 less than 0.12472?
5.12472
-0.948 + -4.6
-5.548
What is 813 - 0.03?
812.97
Put together -32 and -26.
-58
What is 1.5 minus 5.2?
-3.7
Sum -0.062 and 174.
173.938
Subtract 0.4 from 4403.
4402.6
-11+-33
-44
-3 - 2208
-2211
Work out 1.4085 - -0.3.
1.7085
What is 3733 + 0.0954?
3733.0954
-0.02008 + 1
0.97992
What is 0.7 minus -3?
3.7
What is -2190538 - 3?
-2190541
Calculate -81.65 + -6.
-87.65
Put together 30 and -5264.
-5234
Calculate -9044 - 1209.
-10253
Sum 0.5 and 50.2127.
50.7127
What is 17090 take away -6.5?
17096.5
What is -227 + -34.07?
-261.07
What is -7763 minus -100?
-7663
Add together -0.3 and -9.44.
-9.74
Subtract 0.02 from -56875.
-56875.02
What is -0.837 plus 15?
14.163
What is -29.992 minus -0.7?
-29.292
-1843+5
-1838
Add -0.21827 and -2.
-2.21827
3.7 + -0.152
3.548
Put together 67.52 and 0.016.
67.536
Work out 1.02 + 53.
54.02
What is -34796 - 0.2?
-34796.2
What is 3.1 take away 34?
-30.9
What is 0.462 + -76?
-75.538
What is -0.648 + -1.9?
-2.548
Add together 0.328 and -4.
-3.672
Sum -0.4 and -36506.
-36506.4
What is 3 take away 0.0656843?
2.9343157
Work out -0.404 - -135.1.
134.696
Sum -0.3 and 5365.
5364.7
Work out 5 + -333.7.
-328.7
-2.11 - -0.1
-2.01
Work out 4.4 - 0.0229.
4.3771
What is 1.63 plus 0.12?
1.75
What is 367 less than 0.044?
-366.956
What is -2 less than 2.63353?
4.63353
Add 119.359 and 0.5.
119.859
Sum -8.36 and -5.
-13.36
Subtract -70 from -0.4.
69.6
Work out -570 - 72.
-642
Work out 0.231 - 121.
-120.769
Subtract -0.2 from -14492.
-14491.8
34 + 30
64
Put together 0.5 and 121583.
121583.5
What is -16.983 minus -0.2?
-16.783
0.08 - 0.27799
-0.19799
Work out 7328 + 39.
7367
Work out -1.9 + -2.74.
-4.64
What is the distance between -46 and 0.029?
46.029
Add together 0.015 and -212.
-211.985
Work out -53 + -24.27.
-77.27
What is the distance between 10 and 14.579?
4.579
Subtract 0.04 from 264.
263.96
Work out -0.1 + -4018.
-4018.1
What is -3020 take away 1?
-3021
What is 5 less than 7992817?
7992812
-4245 - 0.033
-4245.033
What is -233 - 1294?
-1527
What is the difference between 12.3 and -0.296?
12.596
What is the difference between -0.04 and 841?
841.04
Calculate 35 - 88.
-53
Subtract -0.08 from 98.
98.08
Total of 0.598 and -238.7.
-238.102
Total of 1507 and -18.
1489
Sum 16 and 396.
412
Calculate -2.62784 - 1.
-3.62784
What is 0.93 less than -48.4?
-49.33
Work out 1.0243338 - 4.
-2.9756662
What is the distance between -3 and 17019.9?
17022.9
Sum -0.05 and 465.
464.95
Sum 120 and -108.
12
Work out -0.2988 + 2648.
2647.7012
45 + 485
530
Add together -2.2679 and 4.
1.7321
What is the distance between 181.881 and -11?
192.881
-31+24103
24072
What is -712 - 0.4?
-712.4
Add 0 and 30.4.
30.4
What is 0.2 + 170.02?
170.22
What is -13 minus -6113?
6100
What is 17216 + -2?
17214
What is -0.0568719 + -0.06?
-0.1168719
What is 1506 - -4?
1510
-1 - 1354758
-1354759
What is 0.3 plus 32.2?
32.5
What is -6 take away -6386?
6380
What is -0.02 less than -88?
-87.98
Total of 56.6 and 3.
59.6
Work out -3524 - -0.4.
-3523.6
-8 + -165
-173
What is 7862 - -235?
8097
Add -0.3 and -5891.
-5891.3
What is the distance between -222228 and 4?
222232
Work out -2 + 111994.
111992
Work out -2.74 + -11652.
-11654.74
Calculate -0.1153841 - 0.4.
-0.5153841
What is 5.1 + 1.2?
6.3
Calculate 30.139 + 0.3.
30.439
Subtract -0.5 from 0.00622.
0.50622
Work out -0.05 - 17.051.
-17.101
Add -2 and -20.27.
-22.27
What is -0.0813 less than 0.3?
0.3813
Work out -0.01 + -106.
-106.01
What is 0.6 take away 2770?
-2769.4
Put together 15.2 and 0.008.
15.208
5+1544
1549
Total of 0.5 and 250214.
250214.5
What is -692 less than 0.01?
692.01
What is the distance between -84 and 5.9?
89.9
Subtract -6180 from 5.
6185
Calculate -724 - 0.09.
-724.09
Work out -336 + 1243.
907
What is 5.4 less than 4997?
4991.6
What is 0.177 - 22?
-21.823
-14288+0.3
-14287.7
What is 0.59 less than -185295?
-185295.59
210 + 25.25
235.25
Work out -56 - 4.75.
-60.75
Work out -0.3 + -40.896.
-41.196
Add 0.2 and -2127.
-2126.8
What is the distance between -0.0576 and 27.5?
27.5576
What is -0.7888 minus -0.3?
-0.4888
Put together 0.069663 and 0.05.
0.119663
Subtract 1.6 from -0.1286.
-1.7286
What is 0.24 + -26.342?
-26.102
Subtract -75.8 from -0.255.
75.545
Add -0.4 and -1392.4.
-1392.8
Calculate -0.2 - 952.
-952.2
Subtract 539 from -0.3.
-539.3
Subtract 400 from 0.3.
-399.7
What is -35.90431 plus 2?
-33.90431
Put together -91.6081 and 0.1.
-91.5081
Work out -1 - 1558.
-1559
What is 105 - 0.0941?
104.9059
-1.1+-0.100129
-1.200129
What is -1 less than 2240?
2241
Add together 6 and -26753.
-26747
-1.1 - -819.6
818.5
What is 15 less than -2424.8?
-2439.8
What is 2.86 take away 0.002?
2.858
Calculate -3 - 114.4.
-117.4
Put together -1571 and -1085.
-2656
Total of 0.5 and -0.0737.
0.4263
Sum -2023 and -18.
-2041
What is -0.3 minus -2774?
2773.7
What is -22738 minus 5?
-22743
What is -6874 - -0.2?
-6873.8
What is 9839 less than -3.8?
-9842.8
34.5 - -0.3
34.8
What is -4 less than 0.033?
4.033
What is -2
|
{
"pile_set_name": "DM Mathematics"
}
|
t g(j) = -1 + j - 2*j + 0*j. Let s(t) = -5*t - 3. Let v(r) = -14*r - 9. Let a(q) = 11*s(q) - 4*v(q). What is a(i) + 2*g(i)?
-i + 1
Let s(c) = 4*c - 1. Let p(d) = d. Let w(n) = -3*p(n) + s(n). Suppose 0 = 16*q - 12*q + 4. Let h(o) = -1. Determine q*h(r) + 2*w(r).
2*r - 1
Suppose -1 - 3 = -2*s. Suppose -s*o = -f - 10, -2 = f + 2. Let h(r) = -4*r**2 - 1. Let y(x) = 3*x**2. What is o*y(g) + 2*h(g)?
g**2 - 2
Suppose 4*g + 3 = u - 5, 5*g + 3 = 3*u. Let l be (-2)/2*u + -3. Let i(a) = a - 1. Let s(p) = 0*p + 5*p + 0*p - 6. Determine l*s(d) - 6*i(d).
-d
Let j(o) be the third derivative of -5/24*o**4 + 0*o + 3*o**2 - 5/6*o**3 - 1/10*o**5 + 0. Let m(a) = -7*a**2 - 6*a - 6. Determine 6*j(b) - 5*m(b).
-b**2
Let v(g) = -14*g**3 + 9*g**2 - 8*g - 32. Let m(y) = 9*y**3 - 6*y**2 + 5*y + 21. Calculate -8*m(l) - 5*v(l).
-2*l**3 + 3*l**2 - 8
Suppose r + r = q - 6, -r - 4*q + 15 = 0. Let g(t) be the first derivative of -t**2/2 - t - 4. Let f(a) = 14*a + 14. Determine r*f(i) - 12*g(i).
-2*i - 2
Let m(x) be the second derivative of -3*x + 0*x**3 - 1/2*x**2 + 1/20*x**5 + 0 + 0*x**4. Let y(u) = 7*u**3 + 2*u**2 - 8. Give 6*m(k) - y(k).
-k**3 - 2*k**2 + 2
Let m(o) = -7*o - 4. Let z(w) = 9*w + 8*w - 2*w + 9. Let h be (-4)/(-10) + 96/(-15). Let f be (26/h)/((-4)/12). What is f*m(q) + 6*z(q)?
-q + 2
Let r(f) = -2*f**3 - 2*f. Let x(d) = -10*d**3 - 10*d. Give 11*r(g) - 2*x(g).
-2*g**3 - 2*g
Let g(l) = -6*l**3 + 16*l + 22. Suppose 3*m + 0*v = 3*v + 33, -4*m = 2*v - 74. Let d(x) = 2*x**3 - 5*x - 7. Calculate m*d(y) + 5*g(y).
2*y**3 - 2
Suppose -5*c - 4 = 6. Let q(v) = -4*v**2. Let a(n) = 9*n**2. Determine c*a(u) - 5*q(u).
2*u**2
Let i(k) = -2*k + 4*k + 3*k - 2*k. Let h(l) = -7*l. Determine 3*h(p) + 6*i(p).
-3*p
Let o(p) = -4*p**3 + 2*p**2 + 2. Let k(s) = -3*s**3 + 3*s**2 + 2. Determine 2*k(u) - 3*o(u).
6*u**3 - 2
Let a(p) = -3*p**2 + p. Let v(u) be the first derivative of u**3/3 + 27. What is 2*a(q) + 7*v(q)?
q**2 + 2*q
Let c(j) = -19*j**2 - 7*j + 7. Let q(p) = -9*p**2 - 3*p + 3. What is -2*c(a) + 5*q(a)?
-7*a**2 - a + 1
Let n(j) = -51*j. Let r(m) = 5*m. Determine -4*n(q) - 42*r(q).
-6*q
Let n(d) = 0*d**3 + d**3 - 2*d**2 + 5 - 7*d - 3*d**2 + d**2. Let p be n(5). Let g(t) = t**3 + 5*t**2 + 9. Let f(w) = 2*w**2 + 4. Determine p*f(i) + 2*g(i).
2*i**3 - 2
Let x(b) = 2*b - 6. Let h(t) = -1. Let g(s) = -1. Suppose 0 = -4*m + 2*m - 8. Let j(z) = m*h(z) + 5*g(z). What is 4*j(k) - x(k)?
-2*k + 2
Let n = -53 - -54. Let d(z) = -6*z**2 - 8*z. Let v(s) be the second derivative of 0 + 2*s + 1/12*s**4 + 1/6*s**3 + 0*s**2. Give n*d(h) + 8*v(h).
2*h**2
Let b(k) = 13*k**2 - 17*k + 13. Let m(p) = -p**2 + 1. Let n(c) = -3*c**2 - 4*c + 9. Let o(r) = -6*m(r) + n(r). What is -2*b(y) + 9*o(y)?
y**2 - 2*y + 1
Let u(p) = -62*p**2 + 5*p + 7. Let a(b) = 31*b**2 - 2*b - 3. What is -7*a(v) - 3*u(v)?
-31*v**2 - v
Let n(u) be the third derivative of -u**3/6 + 32*u**2. Suppose i = -i - 2. Suppose y = -2*g, 4*y - 5*y = -g + 6. Let x(a) = a - 2. What is g*n(s) + i*x(s)?
-s
Let f(y) = -y**3 + 0*y**2 + 0*y**2 + 4*y - 3*y. Let v(b) = -6*b. Determine -6*f(a) - v(a).
6*a**3
Let m(k) = -k. Let q(d) = d + 4. Determine -4*m(a) + q(a).
5*a + 4
Let t(j) = -3*j**2 + 11. Suppose 2*i = -4*r - 42, r - 5*r - 20 = 0. Let g(c) = c**2 - 4. What is i*g(y) - 4*t(y)?
y**2
Let a(l) = -8 - 4 + 6 + 5. Let j(q) = -q + 3. Give -a(n) - j(n).
n - 2
Suppose -4*a - 3*z = 12, 0 = -5*z + 16 + 4. Let o(h) = 6*h + 8. Let i(x) = 5*x + 7. Let k(c) = 7*i(c) - 6*o(c). Let l(d) = -d + 1. Calculate a*k(m) + 5*l(m).
m - 1
Let y(a) = -4*a**2 - 3*a + 7. Let c(l) = l**2 + l - 2. Let s be (-64)/10*30/(-4). Let t = -34 + s. Calculate t*c(h) + 4*y(h).
-2*h**2 + 2*h
Let s(l) = l**3 + l**2 - 1. Let f(n) be the first derivative of n**4/4 + 2*n**3/3 - 2*n - 6. Give f(z) - 2*s(z).
-z**3
Suppose -2*o = o - 6. Let f(a) = -a**3 + 2*a**2 - 2. Let l(z) = -69 - 11*z**2 + 41 + 6*z**3 + 39. What is o*l(r) + 11*f(r)?
r**3
Let a(j) = -3*j + 9. Let g = 8 + 17. Suppose -3*q = -0*q - 5*b + g, 5*q + 27 = b. Let t(p) = -2*p + 5. Calculate q*t(y) + 3*a(y).
y + 2
Let l(g) = -539*g**3 + 121*g - 121. Let j(i) = -9*i**3 + 2*i - 2. Give -121*j(d) + 2*l(d).
11*d**3
Let y(x) = x - 6. Let i be y(6). Let w(d) = i + 0*d + 2*d + 2. Let u(v) be the first derivative of 3*v**2/2 + 3*v - 1. Determine 5*u(s) - 7*w(s).
s + 1
Let a(n) = n + 1. Let k(j) = -3*j**2 + 3*j + 2. Let w(f) = -2*f**2 - 21*f - 11. Let z be w(-10). Calculate z*k(d) + 2*a(d).
3*d**2 - d
Let r(n) = -2*n**2 + 5*n - 2. Let i(t) = -t**2 + 19*t - 14. Let g be i(19). Let j(a) = a**2 - 2*a + 1. Let q = -5 - 1. Give g*j(w) + q*r(w).
-2*w**2 - 2*w - 2
Let u(s) = -s**3 - s**2 + s - 1. Let p(h) = -5*h**3 - 3*h**2 + 3*h - 5. Give -p(t) + 3*u(t).
2*t**3 + 2
Let l(y) = 5*y**2 - 4*y - 5. Suppose -2*q + 4*q = 4*b + 12, -23 = 2*q + 3*b. Let r(g) = -g**2 + g + 1. Calculate q*r(k) - l(k).
-k**2 + 1
Let k(x) be the third derivative of x**4/12 + x**3 - 3*x**2. Let i(c) = 6*c + 17. What is 6*i(f) - 17*k(f)?
2*f
Let a(g) = 3*g**2 + 2*g. Let o(x) be the first derivative of x**3/3 + x**2/2 - 8. What is a(c) - 2*o(c)?
c**2
Let a(x) = 2*x + x - 4*x. Let g(s) = 24 - 24 + 4*s. Give a(m) + g(m).
3*m
Let f(c) = 5*c**3 - 2. Let n(g) = -35*g**3 - 25*g**3 + 57*g**2 + 25 - 57*g**2. Determine -25*f(h) - 2*n(h).
-5*h**3
Let r(z) = 117*z + 10. Let q(y) = -234*y - 18. Give -5*q(s) - 9*r(s).
117*s
Let w(j) be the second derivative of j**3/2 - 2*j. Let p(u) = 15*u. Calculate 4*p(c) - 21*w(c).
-3*c
Let h(g) = -g + 1. Let k(a) be the second derivative of a**5/40 - a**4/12 + 2*a**3/3 - a. Let d(x) be the second derivative of k(x). Give d(r) + 4*h(r).
-r + 2
Let k = -122 + 140. Let g(t) = -11*t**2 - 5. Let h(b) = -39*b**2 - 18. What is k*g(p) - 5*h(p)?
-3*p**2
Let w(a) = -8*a**3 + 7*a**2 - 6*a + 7. Let l be (-2)/6*(-24)/(-8). Let s(n) = -n**3 + n**2 - n + 1. Determine l*w(u) + 6*s(u).
2*u**3 - u**2 - 1
Let k(z) = -2*z**2 + 3*z - 3. Let j(o) = -o**3 - 7*o**2 + 9*o - 8. Let m(i) = -2*j(i) + 7*k(i). Let g(f) = f - 1. Determine 5*g(v) - m(v).
-2*v**3 + 2*v
Suppose -k - 10 = -3*x, -5*k + 6 = -2*k + 3*x. Let j(f) = f**3 - f - 1. Let y(z) = -5*z**3 - z**2 + 7*z + 4. What is k*y(h) - 4*j(h)?
h**3 + h**2 - 3*h
Let t(f) = -f**3 - 3*f**2 + 2*f + 3. Let n be t(-3). Let v(b) = -2*b + 9 + 6*b - 13. Let l be (-70)/21*(-3)/2. Let m(y) = 2*y - 2. Determine l*m(w) + n*v(w).
-2*w + 2
Let r(o) = -2*o + 13. Let j = -25 - -36. Let d(x) = x**3 + 5*x**2 + 3*x - 3. Let z be d(-3). Let s(q) = 2*q - 7 - 3*q + 2*q. What is j*s(g) + z*r(g)?
-g + 1
Let j(k) = 2*k + 3. Let i = 16 - 6. Suppose -5*v - 3*a = 9, -18 = 4*a - 6. Suppose -2*q - 2 + i = v. Let d(c) = -3*c - 4. Give q*j(t) + 3*d(t).
-t
Let p(h) = -6*h**3 + 4*h**2 + 12*h - 4. Let t(n) = 13*n**3 - 9*n**2 - 24*n + 9. Determine -9*p(d) - 4*t(d).
2*d**3 - 12*d
Let q(n) be the second derivative of -3*n - 1/10*n**5 + 2*n**2 + 1/2*n**3 - 1/6*n**4 + 0. Let h(l) = 5*l**3 + 6*l**2 - 8*l - 11. Calculate -4*h(j) - 11*q(j).
2*j**3 - 2*j**2 - j
Let c(n) = -3*n - 2. Suppose 0 = -a - 4*j + 15, 0 = 3*a - 2*a + 5*j - 16. Let m(t) = 16*t + 11. Calculate a*c(x) + 2*m(x).
-x
Let c(i) = -4*i**2 + 3*i + 7. Let d(h) be the second derivative of -h**4/6 + h**3/6 + 3*h**2/2 - 5*h. Determine -2*c(s) + 5*d(s).
-2*s**2 - s + 1
Let x(u) = -u**3 + u**2 + 1. Let y(b) = -7*b**3 + 6*b**2 + 6. Let s(i) = i**3 + 5*i**2 + 5*i + 3. Let f be s(-3). What is f*x(h) - y(h)?
h**3
Let f(m) = -3*m**3 - 4*m**2 - 4*m - 2. Suppose -4*h + 28 = 3*i, -4 = -i - i + h. Let u(l) = 2*l**3 + 3*l**2 + 3*l + 2. Give i*u(j) + 3*f(j).
-j**3 + 2
Let w(m) = -5*m. Let p(u) = u + 3. Let l(d) = 4*d + 10. Let n = -12 - -18. Let t(g) = n*l(g) - 20*p(g). Calculate 4*t(y) + 3*w(y).
y
Let d(k) = k**3 - 5*k**2 + 22*k + 4. Let a(s) = -s**3 + 4*s**2 - 22*s - 3. Calculate 4*a(z) + 3*d(z).
-z**3 + z**2 - 22*z
Let d(g) = -12*g**3 - 11*g**2 - 5*g. Let p(q) = 6*q**3 + 5*q**2 + 2*q. Calculate 2*d(b) + 5*p(b).
6*b**3 + 3*b**2
Let q(n) = -n**2 + n. Let l(d) = 28*d**2 - 6*d - 3. Determine l(t) + 6*q(t).
22*t**2 - 3
Let j(o) = -4*o**2 - 8*o + 1. Let n(k) = 5*k**2 + 9*k - 2. Let s(b) = 4*j(b) + 3*n(b). Let t(w) = -2*w**2 - 14*w - 5. Let c = 9 + -12. Give c*t(m) + 8*s(m).
-2*m**2 + 2*m - 1
Let c be -6 + (-1 + 1)*-1. Let m(l) = -4*l**3 + 4*l**2 - 8. Let j(b) = 5*b**3 - 5*b**2 + 9. What is c*m(h) - 5*j(h)?
-h**3 + h**2 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
. Put 0.3, r, f in descending order.
0.3, f, r
Let f = 2027 + -2033. Sort -1, 2/15, f in descending order.
2/15, -1, f
Suppose -4*l = -6*l + 18. Suppose -3*i + 21 = l. Put 5/2, 1/5, i, 3 in ascending order.
1/5, 5/2, 3, i
Let n = 572/5 + -115. Put -1/6, n, -5 in ascending order.
-5, n, -1/6
Let v = 25 - 33. Put v, 1/7, 2/11, -0.2 in increasing order.
v, -0.2, 1/7, 2/11
Let u = -1/164 - -11/123. Let k = 18.8 + -21. Let q = k - -2.1. Sort q, -1, u.
-1, q, u
Let l = 106 - 95. Put 4, -11, l in increasing order.
-11, 4, l
Suppose f + 3 - 10 = 0. Suppose -2*d + f*d + 15 = 0. Let q = 406 - 411. Sort -1, d, q.
q, d, -1
Suppose d + 5 = -0. Let u(a) = -a - 12. Let c be u(-9). Let j be 0 + 1 + (-1 - 1). Sort c, j, d in ascending order.
d, c, j
Let a(f) = -6*f**2 - 22*f - 5. Let p be a(-5). Let n be 14/(-330) - 6/p. Sort 2, 5, n.
n, 2, 5
Let m be (-3)/2 - 4/(-2). Let x = -2774/3 + 925. Put m, 4, 0.3, x in descending order.
4, m, x, 0.3
Let l be (-4)/20 - 156/(-5). Let v = 27 - l. Put -2, v, 4 in ascending order.
v, -2, 4
Let n = -1654 + 1649. Put 0.1, 109, n in decreasing order.
109, 0.1, n
Let y = 197.4 + -197. Sort y, 1, 1/3, 0 in increasing order.
0, 1/3, y, 1
Let n be (-26)/(-10) - 4*(-1)/10. Let g be -1 + n - (-7 + 5). Sort 8, g, -1, -4 in descending order.
8, g, -1, -4
Let v(z) be the second derivative of -7*z**3/6 + 2*z**2 - 2*z + 12. Let m be v(0). Sort 34, m, -5 in increasing order.
-5, m, 34
Suppose 2*m - 8 = c + c, -3*c - 7 = 2*m. Let u(l) = l**3 + l**2 + l - 2. Let o be u(m). Sort -2, -1, 0, o.
-2, -1, 0, o
Let k = 0.101 + 5.5602. Let w = k - -0.1088. Let s = w - -0.23. Put 0, -1, s in descending order.
s, 0, -1
Let b be -6 + (-72)/(-6) - (-4)/1. Put 9, 0, b, -2 in ascending order.
-2, 0, 9, b
Let r = 326 + -322. Sort -5, 7, -4, r in decreasing order.
7, r, -4, -5
Let j(a) = a**2 - a + 1. Let x(t) = -t**2 + 2*t - 4. Let n(p) = 2*j(p) + x(p). Let f be n(0). Put 1, f, 3 in decreasing order.
3, 1, f
Suppose 3*d - 21 = -9, 192 = 5*a - 2*d. Let v = 37 - a. Sort -5, -4, v.
-5, -4, v
Let c = 14.3 - 8.8. Let t = -6 + c. Let q = 0.6 + -0.2. Sort -0.3, q, t in descending order.
q, -0.3, t
Suppose 2*h - h + 78 = 0. Let z = h - -77. Put z, 0, 3 in ascending order.
z, 0, 3
Let k(c) = 23*c - 273. Let y be k(12). Let h(z) = 3*z - 4*z**2 - z**2 - z + 2*z**2. Let v be h(2). Sort 4, v, y in decreasing order.
4, y, v
Let w = -0.0569 + -0.5431. Let z = -1.3 - -0.3. Put z, 0.3, w in ascending order.
z, w, 0.3
Let c(r) = 3*r**2 - 5. Let b be c(0). Sort 57, b, 4.
b, 4, 57
Suppose -j + 5 = 0, 2*d - 19 = d - 5*j. Let k(u) = -2*u**2 + 7*u + 14. Let g be k(5). Put -5, d, g in decreasing order.
g, -5, d
Let i(w) = -9*w - 87. Let s be i(-10). Sort -1, s, 0 in descending order.
s, 0, -1
Suppose -10 = 4*s - h + 6, 0 = 5*h - 20. Let w be 3*s*(-2)/(-72). Sort -3, 10, w.
-3, w, 10
Let u = -1.05 + 1. Let s = -9615.5 + 9615. Sort s, 1/2, u, 0.3 in decreasing order.
1/2, 0.3, u, s
Suppose 3*s - 6 = 3*t, -4*t - s - 2 + 19 = 0. Suppose -2*n - 4*g = -73 + 19, 5*n = 4*g + 93. Let z be 2*(n/(-2))/7. Put z, 1, t in increasing order.
z, 1, t
Suppose 0 = -j - 2*n + 7*n + 16, -5*j = 3*n + 4. Put 0, -108, -3, j in decreasing order.
j, 0, -3, -108
Let l(g) = g**3 - 12*g**2 + 15*g + 5. Let x be l(11). Let d = 48 - x. Sort d, 5, 3, 4 in increasing order.
d, 3, 4, 5
Let v be 3*4/(-42) + (-5294)/(-7). Let l be ((-2)/10)/(5 - v/150). Put l, -4, -2, -0.7 in ascending order.
-4, -2, -0.7, l
Let y be 28/(-64)*30/(-35). Let i = 0 - 3. Let k = 7 + i. Put y, k, 7 in increasing order.
y, k, 7
Suppose 2*o + 72 = 4*k - 2*o, -3*o - 40 = -2*k. Suppose -r + k = -3*r. Let u = -3 - r. Sort -4, u, 5 in descending order.
5, u, -4
Suppose 15 = -3*i, i - 646 = -3*h + 4*h. Put h, -1, -2/3 in ascending order.
h, -1, -2/3
Let c be 92/(-3) - 18/54. Let l = c - -30. Put -5, l, 0 in increasing order.
-5, l, 0
Suppose 0 = -4*n - 20, 4*n + 5 = -b - 13. Sort -4, 5, -14, b in descending order.
5, b, -4, -14
Let x be 0 + 0 + (-2 - -3). Suppose 0 = 5*q - 2*f + 290, 2*q - 6*f + 125 = -7*f. Let o be (q/25)/6 + (-13)/5. Put 5, x, o in ascending order.
o, x, 5
Suppose -35 - 41 = -38*l. Sort -5, 4, l, -44 in decreasing order.
4, l, -5, -44
Suppose -16 = 5*w + 3*n, w + 6*n - 8*n = -11. Let s be (-32)/(-24)*(1 + 2). Sort s, -3, 44, w.
w, -3, s, 44
Suppose 4*z + 2*d - 28 = -2*d, 3*d - 6 = 0. Let r be (-2 - -1)/((-1)/z). Suppose -3*j - 4*c - 20 = 0, -r*c + c = -5*j - 76. Sort j, 0.4, -4.
j, -4, 0.4
Let n(u) = 11*u - 2. Let b be n(2). Let g be 64/b + (-1)/5. Suppose -g*h + h = 8. Sort -1, -3, h.
h, -3, -1
Let q be 10/(-75) + (-62)/(-15). Sort q, -3, -8 in descending order.
q, -3, -8
Let f be 2/(-4)*8/10. Let m = 7/20 + -1/4. Let c = m - f. Sort 2/11, 0, c.
0, 2/11, c
Suppose -33 + 8 = 5*m, 0 = -3*q + 2*m + 10. Sort -31, q, 2 in decreasing order.
2, q, -31
Let z = 356 + -352. Sort z, -5, 12, -4 in decreasing order.
12, z, -4, -5
Suppose 2*t - 15 = t. Suppose -5*a + i = -t, 3 = 3*a + 4*i - 6. Let s(g) = g - 9. Let w be s(9). Put -5, w, a in decreasing order.
a, w, -5
Let d = -342 - -337. Sort 10, 2, d.
d, 2, 10
Let m = -3 + 32. Let d = m - 31.6. Let l = d - 1.4. Put l, 2, 4/5 in increasing order.
l, 4/5, 2
Let q = 1.085 - 6.085. Put q, 74, 0.3 in increasing order.
q, 0.3, 74
Let g = 55 + -52. Sort -1, 12, g.
-1, g, 12
Let m = 595 - 595. Sort -6, m, -5/3, 5 in decreasing order.
5, m, -5/3, -6
Let n = 178 + -188. Sort 0.4, -0.2, -0.1, n in ascending order.
n, -0.2, -0.1, 0.4
Suppose 46 = 7*c + 11. Sort c, -76, 4, 5/2 in ascending order.
-76, 5/2, 4, c
Let o be (-4)/10*2*-5. Suppose 2*x = 5*x. Suppose -3*p = x, 2*h - 2*p = 6 - 2. Sort -5, h, o.
-5, h, o
Let v = -67 + 66.932. Let u = v + 0.168. Sort -4, u, -0.3 in decreasing order.
u, -0.3, -4
Let z be 13/18 - 5/(0 - -30). Put -1/11, z, 4 in ascending order.
-1/11, z, 4
Let v = -1815/7 - -258. Sort 0, v, -3/8, 0.1 in increasing order.
v, -3/8, 0, 0.1
Let p = 5.2 + -5. Let j = -2579/13 + 2230/13. Let y = 27 + j. Sort p, y, 1 in descending order.
1, p, y
Suppose 0 = -5*i - 2*h + 6 - 33, -5*i = 4*h + 29. Let o = 36 + -36. Let s be (-2 + 1)*o/(-3) + -3. Put 4, i, s in ascending order.
i, s, 4
Let s = -3.3 - 0.3. Let x = s - 1.4. Sort -0.4, -1, x in descending order.
-0.4, -1, x
Let s(h) = h**2 + h - 6. Let a be s(-4). Suppose 2*z = -a, 2*q - 13 = 4*z + 9. Sort q, -1, 3.
-1, 3, q
Suppose 2*t - 4*a = 50, -a - 85 = -5*t + a. Let y be (-1 - (-18)/t) + 32/(-10). Sort -1, 0, y in descending order.
0, -1, y
Suppose 3*z - 3*x - 4 = 26, 4*x + 35 = 3*z. Sort -3, 9, -4, z.
-4, -3, z, 9
Let f(i) = 11*i**3 - 53*i**2 + 11*i - 41. Let b(g) = 7*g**3 - 35*g**2 + 7*g - 27. Let x(c) = -8*b(c) + 5*f(c). Let r be x(15). Sort r, 5, 12.
r, 5, 12
Let z = 7 + -3. Let j = 11 - 8. Let w be (-6)/(-3) - (j - 0). Put -4, w, z in decreasing order.
z, w, -4
Let d = 254 + -509/2. Sort -1/3, 192, d in descending order.
192, -1/3, d
Let a(m) = 6*m - 216. Let j be a(35). Sort 13, -5, j, 2 in increasing order.
j, -5, 2, 13
Let i(s) = -s**3 - 8*s**2 - 13*s - 9. Let q be i(-6). Suppose -12 = 4*k, -21 = -5*m + 4*k - 2*k. Put q, -4, m in descending order.
m, q, -4
Let j be (47 + -49)/((-1)/(-4)). Sort -4, -18, j in ascending order.
-18, j, -4
Let v(p) = -13*p**2 - 2. Let w be v(1). Sort -2, -4, w.
w, -4, -2
Suppose -3*t + 7 = -4*x, 8*x = 3*x - 5. Sort -58, 5, t in descending order.
5, t, -58
Let o = -433 + 780. Sort o, 1, -0.4 in descending order.
o, 1, -0.4
Let d = 0.026 - -0.474. Let p = -1 - -0.5. Sort 2, -3, p, d in increasing order.
-3, p, d, 2
Let b = -3032/4539 + 2/1513. Put -0.1, 4, -2/13, b in decreasing order.
4, -0.1, -2/13, b
Let v = -12 - -28. Let l = -17 + v. Sort -5, l, -2/7 in increasing order.
-5, l, -2/7
Let c = -7 + 4. Let b be (-188)/210 - ((-1043)/147 + 7). Put 0, b, c in descending order.
0, b, c
Suppose 2*s - 3*c = 7, -5*s + 6 = -3*s - 2*c. Sort -4, s, 16 in decreasing order.
16, s, -4
Let o be 3/(((-3)/(-1))/3). Suppose -3*h = -8*h + 15. Let p be 1*5*3/h. Put o, p, -3 in decreasing order.
p, o, -3
Let w = -37/117 + 7/13. Let t = -1114 - -1109. Sort t, 3, w in descending order.
3, w, t
Let o be (2*(-2)/4)/(-1). Suppose 4*a + 5*j + 22 = 3*a, -4 = -4*a + 3*j. Put -5, a, o, -3 in descending order.
o, a, -3, -5
Suppose -2*q - 219 = q. Let p = q - -947/13. Sort 13/3, 2/7, p in increasing order.
p, 2/7, 13/3
Let
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{
"pile_set_name": "DM Mathematics"
}
|
?
12:47 AM
How many minutes are there between 1:17 PM and 12:17 AM?
660
How many minutes are there between 6:11 PM and 1:36 AM?
445
What is 313 minutes before 8:24 PM?
3:11 PM
How many minutes are there between 3:12 PM and 7:58 PM?
286
How many minutes are there between 7:19 PM and 10:14 PM?
175
How many minutes are there between 3:45 PM and 7:07 PM?
202
How many minutes are there between 2:01 AM and 7:04 AM?
303
How many minutes are there between 10:10 AM and 4:48 PM?
398
How many minutes are there between 9:40 PM and 6:58 AM?
558
What is 155 minutes after 3:57 AM?
6:32 AM
How many minutes are there between 11:38 PM and 3:35 AM?
237
What is 572 minutes after 6:20 PM?
3:52 AM
What is 404 minutes before 1:23 AM?
6:39 PM
How many minutes are there between 12:20 AM and 10:16 AM?
596
How many minutes are there between 11:12 PM and 11:51 PM?
39
How many minutes are there between 8:17 PM and 1:17 AM?
300
How many minutes are there between 10:27 AM and 6:37 PM?
490
How many minutes are there between 6:24 PM and 2:52 AM?
508
How many minutes are there between 5:44 AM and 5:02 PM?
678
How many minutes are there between 8:13 PM and 4:13 AM?
480
How many minutes are there between 9:34 AM and 7:33 PM?
599
How many minutes are there between 10:26 PM and 8:23 AM?
597
What is 618 minutes after 3:30 PM?
1:48 AM
How many minutes are there between 6:12 AM and 4:08 PM?
596
What is 76 minutes before 12:27 PM?
11:11 AM
How many minutes are there between 9:14 PM and 4:24 AM?
430
How many minutes are there between 3:30 PM and 6:57 PM?
207
What is 587 minutes before 5:24 PM?
7:37 AM
What is 6 minutes after 3:04 AM?
3:10 AM
How many minutes are there between 6:23 AM and 2:50 PM?
507
How many minutes are there between 5:06 PM and 8:49 PM?
223
What is 107 minutes before 1:41 AM?
11:54 PM
What is 323 minutes after 9:44 AM?
3:07 PM
How many minutes are there between 4:21 AM and 10:34 AM?
373
What is 636 minutes before 3:40 PM?
5:04 AM
What is 11 minutes after 4:20 PM?
4:31 PM
What is 96 minutes after 4:40 AM?
6:16 AM
How many minutes are there between 9:49 AM and 9:21 PM?
692
How many minutes are there between 2:48 AM and 8:16 AM?
328
What is 507 minutes after 6:57 PM?
3:24 AM
How many minutes are there between 1:04 PM and 4:19 PM?
195
What is 56 minutes after 9:33 AM?
10:29 AM
What is 458 minutes before 2:58 PM?
7:20 AM
What is 313 minutes after 10:19 PM?
3:32 AM
How many minutes are there between 8:05 PM and 12:35 AM?
270
How many minutes are there between 10:21 AM and 9:22 PM?
661
How many minutes are there between 6:03 PM and 2:26 AM?
503
What is 167 minutes before 2:04 AM?
11:17 PM
What is 111 minutes after 2:10 PM?
4:01 PM
How many minutes are there between 1:44 PM and 9:32 PM?
468
How many minutes are there between 9:20 AM and 2:24 PM?
304
What is 459 minutes before 6:52 AM?
11:13 PM
What is 453 minutes before 8:55 AM?
1:22 AM
How many minutes are there between 9:27 AM and 7:44 PM?
617
How many minutes are there between 4:30 PM and 6:14 PM?
104
How many minutes are there between 7:19 PM and 3:40 AM?
501
What is 636 minutes after 4:04 PM?
2:40 AM
What is 54 minutes after 5:01 AM?
5:55 AM
How many minutes are there between 6:17 PM and 4:24 AM?
607
What is 295 minutes before 10:44 PM?
5:49 PM
What is 507 minutes before 10:49 PM?
2:22 PM
How many minutes are there between 9:38 AM and 10:30 AM?
52
How many minutes are there between 12:06 AM and 4:12 AM?
246
How many minutes are there between 8:46 PM and 5:11 AM?
505
How many minutes are there between 7:46 AM and 7:41 PM?
715
What is 707 minutes after 5:35 PM?
5:22 AM
How many minutes are there between 7:57 AM and 9:54 AM?
117
How many minutes are there between 9:52 PM and 7:36 AM?
584
What is 535 minutes after 3:18 AM?
12:13 PM
How many minutes are there between 3:03 PM and 11:14 PM?
491
How many minutes are there between 8:00 PM and 9:38 PM?
98
How many minutes are there between 10:10 PM and 9:50 AM?
700
How many minutes are there between 4:30 AM and 2:48 PM?
618
How many minutes are there between 1:29 PM and 11:05 PM?
576
What is 599 minutes after 5:35 AM?
3:34 PM
What is 719 minutes after 4:57 AM?
4:56 PM
How many minutes are there between 6:22 AM and 12:56 PM?
394
How many minutes are there between 11:27 PM and 6:08 AM?
401
How many minutes are there between 9:43 AM and 10:45 AM?
62
What is 564 minutes after 12:11 AM?
9:35 AM
What is 408 minutes before 9:43 AM?
2:55 AM
What is 491 minutes after 12:40 PM?
8:51 PM
What is 217 minutes before 7:50 PM?
4:13 PM
How many minutes are there between 10:38 PM and 6:17 AM?
459
How many minutes are there between 6:09 AM and 10:58 AM?
289
How many minutes are there between 11:12 PM and 3:38 AM?
266
How many minutes are there between 2:32 AM and 10:33 AM?
481
What is 104 minutes after 2:55 AM?
4:39 AM
What is 482 minutes after 6:23 PM?
2:25 AM
How many minutes are there between 9:33 AM and 9:42 AM?
9
What is 49 minutes before 12:28 PM?
11:39 AM
What is 719 minutes before 5:39 AM?
5:40 PM
What is 520 minutes before 7:01 AM?
10:21 PM
How many minutes are there between 6:46 AM and 9:11 AM?
145
What is 535 minutes after 1:56 AM?
10:51 AM
What is 152 minutes after 9:35 PM?
12:07 AM
How many minutes are there between 12:26 AM and 2:23 AM?
117
How many minutes are there between 12:04 AM and 7:43 AM?
459
What is 152 minutes before 12:24 PM?
9:52 AM
What is 71 minutes after 7:44 PM?
8:55 PM
How many minutes are there between 8:20 PM and 8:00 AM?
700
How many minutes are there between 12:50 AM and 4:05 AM?
195
How many minutes are there between 1:48 PM and 7:54 PM?
366
What is 42 minutes after 5:17 PM?
5:59 PM
What is 539 minutes after 8:13 PM?
5:12 AM
What is 11 minutes after 10:16 AM?
10:27 AM
How many minutes are there between 1:48 PM and 5:52 PM?
244
How many minutes are there between 10:26 AM and 8:18 PM?
592
How many minutes are there between 1:15 AM and 5:26 AM?
251
What is 549 minutes before 5:39 AM?
8:30 PM
What is 354 minutes after 2:00 PM?
7:54 PM
How many minutes are there between 5:57 AM and 7:04 AM?
67
What is 714 minutes after 11:47 PM?
11:41 AM
How many minutes are there between 4:26 PM and 1:11 AM?
525
How many minutes are there between 6:00 AM and 10:34 AM?
274
How many minutes are there between 6:18 AM and 4:04 PM?
586
How many minutes are there between 12:15 PM and 8:20 PM?
485
How many minutes are there between 9:24 AM and 5:17 PM?
473
What is 462 minutes after 9:13 PM?
4:55 AM
What is 291 minutes after 11:59 PM?
4:50 AM
What is 667 minutes after 4:14 PM?
3:21 AM
How many minutes are there between 4:41 AM and 10:54 AM?
373
How many minutes are there between 12:48 AM and 12:09 PM?
681
How many minutes are there between 5:59 PM and 9:22 PM?
203
How many minutes are there between 4:16 AM and 8:11 AM?
235
How many minutes are there between 11:37 PM and 6:35 AM?
418
How many minutes are there between 12:01 AM and 6:32 AM?
391
What is 505 minutes after 3:32 PM?
11:57 PM
What is 60 minutes after 9:26 PM?
10:26 PM
What is 265 minutes after 6:29 PM?
10:54 PM
What is 270 minutes before 9:57 PM?
5:27 PM
What is 670 minutes before 4:34 AM?
5:24 PM
How many minutes are there between 9:47 AM and 3:18 PM?
331
How many minutes are there between 7:08 PM and 1:24 AM?
376
How many minutes are there between 9:21 PM and 7:57 AM?
636
What is 568 minutes after 5:41 AM?
3:09 PM
What is 646 minutes after 2:45 PM?
1:31 AM
What is 283 minutes before 10:26 AM?
5:43 AM
What is 270 minutes before 11:27 AM?
6:57 AM
What is 682 minutes before 10:34 AM?
11:12 PM
How many minutes are there between 6:29 PM and 3:42 AM?
553
What is 454 minutes after 11:34 PM?
7:08 AM
What is 473 minutes after 7:32 AM?
3:25 PM
How many minutes are there between 8:24 PM and 9:56 PM?
92
What is 298 minutes before 7:26 AM?
2:28 AM
What is 491 minutes after 1:16 PM?
9:27 PM
How many minutes are there between 12:03 PM and 5:18 PM?
315
What is 249 minutes after 2:13 AM?
6:22 AM
How many minutes are there between 4:49 PM and 6:46 PM?
117
What is 328 minutes after 8:15 AM?
1:43 PM
How many minutes are there between 8:43 AM and 11:33 AM?
170
What is 10 minutes before 9:22 AM?
9:12 AM
What is 663 minutes before 5:50 PM?
6:47 AM
How many minutes are there between 10:51 AM and 10:00 PM?
669
What is 14 minutes after 1:41 AM?
1:55
|
{
"pile_set_name": "DM Mathematics"
}
|
r**2 + 47*r - 17. Suppose -3*z - v - 16 = 0, 7*z - 4*z + 5*v + 8 = 0. Let u(q) = q**3 - 6*q**2 + 16*q - 6. What is z*n(k) + 17*u(k)?
-k**3 - 10*k
Let f(c) = -2*c**2 + 5*c. Let l(m) = m**2 - 6*m - 1. What is 4*f(s) + 3*l(s)?
-5*s**2 + 2*s - 3
Let h be (0 - (-6)/21) + (-1165)/35. Let f(d) = -72*d**2. Let t(i) = -9*i**2. What is h*t(g) + 4*f(g)?
9*g**2
Let v(q) = -114*q + 6 - 109*q + 228*q. Let r(n) = -5*n + 4*n + 3 - 4. Determine -11*r(s) - 2*v(s).
s - 1
Let g(s) = 42311*s**3 + 493*s**2 - 493*s + 493. Let t(c) = -258*c**3 - 3*c**2 + 3*c - 3. Give -6*g(v) - 986*t(v).
522*v**3
Let t(j) = -j**2 + j. Let o(i) = -15*i**2 - 5*i - 2. Give -o(l) - 4*t(l).
19*l**2 + l + 2
Let p(r) = -r - 1. Let m(y) = y**2 - y - 1. Let f(s) = -2*s**2 + 3*s + 4. Let q(k) = 2*f(k) + 6*m(k). Let z be q(0). Let b(v) = 3*v + 3. Give z*b(j) + 5*p(j).
j + 1
Suppose 2*j - 3 = -3*m, 4 = 2*m + 2. Suppose j = -k - 2*k + 12. Let q(f) = -2*f - 7. Let w(p) = 2*p + 6. Determine k*w(x) + 3*q(x).
2*x + 3
Let g(k) = -9*k**2 - 12*k - 5. Let n(v) = -12*v**2 - 18*v - 8. Let m(s) = -7*g(s) + 5*n(s). Let l(u) = 4*u**2 - 7*u - 6. Give 4*l(q) - 5*m(q).
q**2 + 2*q + 1
Let h(k) = 76*k**3 + 8*k + 4. Let z(r) = 78*r**3 + 5*r + 3. What is 2*h(o) - 3*z(o)?
-82*o**3 + o - 1
Let l(i) = i. Suppose 5*m - r = 4*r, 4*r = 5*m - 1. Let u be 194/(-18) - (-54)/(-243). Let b = -7 - u. Let y(s) = -s + 1. Calculate b*l(q) + m*y(q).
3*q + 1
Let b(v) = 1. Suppose 7 = -r + 19. Let f(z) = -r*z**2 + 1 - 5 + 13*z**2. Let d(t) = t**2 - 5*t + 1. Let n be d(5). Give n*f(w) + 2*b(w).
w**2 - 2
Let m(t) = 5*t + 2. Let x = -18 - -18. Let c be 5 + x - (0 - -3). Suppose 0 = 2*l - 2*p + 4, -12 = 3*l + 5*p + 2. Let g(j) = 6*j + 3. What is c*g(y) + l*m(y)?
-3*y
Let q(f) = -f**3 + f**2 + f. Suppose 0 = -2*v - 4*b + 5*b - 9, -2*b = -3*v - 16. Let o(i) = 2*i**3 + 2*i**2 + 2*i. Determine v*q(l) + o(l).
4*l**3
Let r(b) = -2190*b + 146. Let w(n) = 151*n - 10. What is -5*r(x) - 73*w(x)?
-73*x
Let w(r) = -17*r**2 - 5. Let d(a) = -93*a**2 + 6*a - 27. Let j(g) = -183*g**2 + 10*g - 53. Let c(p) = -5*d(p) + 3*j(p). Give 5*c(s) - 24*w(s).
-12*s**2
Let f = 3 + -2. Let c be (1 - 2)*(0 + -4 + 3). Let l(p) = 4*p**3 + 6*p**2 - c + 2 - 16*p**3 - 6*p + 10*p**3. Let o(k) = -k**2 + k. What is f*l(j) + 6*o(j)?
-2*j**3 + 1
Let o(r) = -11*r**2 - 3*r. Let a(d) be the third derivative of -9*d**5/10 - 7*d**4/12 + 19*d**2. Determine -3*a(i) + 14*o(i).
8*i**2
Let d(r) = 540*r**3 + 5*r**2 - 5*r. Let q(n) = -270*n**3 - 2*n**2 + 2*n. What is -2*d(v) - 5*q(v)?
270*v**3
Let y(s) = -140*s - 3. Let u(c) = -1. What is -2*u(p) + y(p)?
-140*p - 1
Let o(w) = 24*w + 394. Let i(v) = -11*v - 197. Give 9*i(l) + 4*o(l).
-3*l - 197
Let g(o) = -1. Let a(v) = -5. Let d(w) = 3*w - 25. Let z(n) = 11*a(n) - 2*d(n). Give 4*g(b) - z(b).
6*b + 1
Let u(r) = -5*r - 5. Let k(b) = 2*b + 3. Let o = -44 - -49. What is o*k(h) + 3*u(h)?
-5*h
Let n(c) = -c**2 + 6*c + 1. Suppose -6*f + 10 = -2*k, 0 = -2*k + 10*f - 5*f - 7. Let h(b) = -3*b**2 + 13*b + 3. Give k*h(j) - 9*n(j).
-3*j**2 - 2*j + 3
Let k(g) = -g**3 - 5*g**2 - 3*g. Let j(m) = -8648*m + 4329*m + 5*m**2 + 4322*m. Give -3*j(a) - 2*k(a).
2*a**3 - 5*a**2 - 3*a
Let s(o) = o**3 + 6*o**2 - 4. Let r be 3 + -9 + 4 + -2. Let q be 2/(-8) + 19/r + 1. Let h(a) = -a**3 - 5*a**2 + 3. Calculate q*h(f) - 3*s(f).
f**3 + 2*f**2
Let u(z) = 5*z**2 - 3. Let b(c) = -14*c**2 + 8. Suppose -6*j + 10*j = 96. Let q be 8/j - 64/(-6). Calculate q*u(r) + 4*b(r).
-r**2 - 1
Let h(o) = -1. Let p = 2 + -3. Suppose -24 = -2*a - 10*a. Let j(u) = -2*u + 2*u + a*u - u. Give p*j(n) - 2*h(n).
-n + 2
Let j = 5 + -2. Let s(l) = 3*l - 1. Let y(a) be the third derivative of a**4/6 - a**3/6 + 2*a**2. Let g be (0 - 1)*8/4. What is g*y(i) + j*s(i)?
i - 1
Let b(m) = m**2 + 5*m + 1. Let h(p) = -p**2 - p. Give b(s) - h(s).
2*s**2 + 6*s + 1
Let b(c) = 141*c + 141. Let p(g) = -1. Calculate b(x) + 141*p(x).
141*x
Let z(f) = f**2 + 22*f - 5. Let s = -93 + 71. Let h be z(s). Let n(o) = 7*o**2 + o + 2. Let q(x) = 3*x**2 + 1. Give h*q(p) + 2*n(p).
-p**2 + 2*p - 1
Let k(l) = -2*l + 8. Let b(w) = 3*w - 6. Let i(s) = 3*b(s) + 2*k(s). Let h(n) = 6*n - 2. Determine -2*h(y) + 3*i(y).
3*y - 2
Let w(q) = 1416 - 2834 - 43*q + 1418. Let r(b) = -1311*b. Determine -5*r(k) + 152*w(k).
19*k
Let n(s) = s + 9. Let w(q) = 168 - 58 - q - 58 - 60. Give -6*n(h) - 7*w(h).
h + 2
Let c(s) = 19*s + 22. Let u(o) = 12*o + 15. Determine -5*c(z) + 8*u(z).
z + 10
Let a(b) = 17*b**3 - 11*b**2 - 11*b + 17. Let o(z) = 6*z**3 - 4*z**2 - 4*z + 6. Let p(f) = -3*f**2 + 6*f - 4. Let u be p(2). What is u*a(j) + 11*o(j)?
-2*j**3 - 2
Let i(w) = 3*w**2 - 5*w - 4. Let c(n) = 3*n + 2 - 2*n - 3 + 2. Calculate 6*c(y) + i(y).
3*y**2 + y + 2
Let t(h) = 6*h**3 - h**2 + 32*h - 4. Let m(s) = -8*s**3 + 2*s**2 - 34*s + 5. Give 4*m(r) + 5*t(r).
-2*r**3 + 3*r**2 + 24*r
Let f(d) = 898*d + 40. Let s(w) = 897*w + 33. Calculate -5*f(k) + 6*s(k).
892*k - 2
Let h(o) = -15*o - 18. Let l be h(-1). Let b(u) = -15*u**2 - 8*u - 8. Let a(y) = -5*y**2 - 3*y - 3. Give l*b(g) + 8*a(g).
5*g**2
Let a(g) = 418951*g**3 - 5291*g**2 + 5291. Let t(f) = 475*f**3 - 6*f**2 + 6. Give -6*a(w) + 5291*t(w).
-481*w**3
Let r(w) = 2*w**2 + 9*w - 3. Let m(i) = -i**2 - 4*i + 1. Let c(s) = -5*m(s) - 2*r(s). Let a = 835 + -837. Let j(f) = -2*f - 1. Calculate a*c(p) - 3*j(p).
-2*p**2 + 2*p + 1
Suppose 0 = 5*z - 5*g - 40, -3*g + 41 = 5*z + 17. Let c(s) = s**2 - s - 1. Let v(l) = -9*l**2 + 3*l + 5. Calculate z*c(b) + v(b).
-3*b**2 - 3*b - 1
Let t(q) = -434*q + 3. Let x(k) = 145*k - 1. Give 4*t(h) + 11*x(h).
-141*h + 1
Let l(d) = 35*d**2 - 2*d + 2. Let u(v) = -v**2 - 2*v. What is l(q) - 2*u(q)?
37*q**2 + 2*q + 2
Let p(s) = s**2 + 7*s - 142. Let h be p(9). Let m(q) = q**3 + 1. Let c(t) = t**3 - 4*t**2 + 2. Calculate h*m(o) - c(o).
o**3 + 4*o**2
Let z(u) = -39*u**3 + 11*u**2 - 8*u + 8. Let a(q) = 25*q**3 - 7*q**2 + 5*q - 5. Let r(v) = 8*a(v) + 5*z(v). Let y(f) = f**2. What is -2*r(m) - 2*y(m)?
-10*m**3
Let z(x) = -4*x**3 + 8*x**2 - 5*x + 10. Let a(b) = 5*b**3 - 9*b**2 + 7*b - 10. What is 3*a(j) + 4*z(j)?
-j**3 + 5*j**2 + j + 10
Let r(v) = v**3 + 2*v**2 + 2*v. Suppose -5*o + 7 = -3. Suppose -c - 1 = -3. Let l(w) = 11*w**3 + 5*w**2 - 3*w - 6*w**3 + 8*w - c*w**3. Give o*l(a) - 5*r(a).
a**3
Let s(g) = -3*g**2 + 4*g + 5. Let f(u) = 4*u**2 + 8. Let i be f(-3). Let n be i/8 - 2/4. Let k(h) = h**2 - 2*h - 2. What is n*k(q) + 2*s(q)?
-q**2 - 2*q
Let z(o) = 11*o**2 - 129*o + 9. Let m(c) = 5*c**2 - 64*c + 4. Calculate -9*m(v) + 4*z(v).
-v**2 + 60*v
Let a(h) = 11*h**2 - 2*h + 8. Let n = 359 + -362. Let c(x) = -4*x**2 + x - 3. Calculate n*a(q) - 8*c(q).
-q**2 - 2*q
Let i(u) = 141 + 8*u + 136 - 546 + 137 + 140 + 45*u**2. Let p(s) = -15*s**2 - 3*s - 3. Determine 3*i(l) + 8*p(l).
15*l**2
Suppose 4*r + 23 = -5*u - 0*r, 0 = -2*u - 5*r - 33. Let c(b) = -b**2 + 1. Let m(y) be the second derivative of y**4/6 + y**2 + y. Determine u*m(h) + c(h).
h**2 + 3
Suppose 106 - 30 = -19*j. Let t(k) = -5*k**3 - 4*k**2 + 4*k + 4. Let x(w) = 55*w**2 + 76*w**3 - 55 - 29*w**3 - 55*w + 23*w**3. Calculate j*x(c) - 55*t(c).
-5*c**3
Let m be (-19 - (-16)/4)*2/(-5). Let x be (-10 + 5)*32/(-10). Suppose f + 3*f = -x. Let o(q) = -q**2 - 1. Let y(g) = -g**2 - 1. Give f*y(i) + m*o(i).
-2*i**2 - 2
Suppose -a - 21 = -8*a. Let q(w) = 9*w**3 + 3*w + 6. Let m(u) = 4*u**3 + u + 3. Let t(f) = -5*m(f) + 2*q(f). Let g(r) = r**3 + 1. Calculate a*g(v) + t(v).
v**3 + v
Let h(d) = 3*d**2 + d + 108. Let r(v) = v**2 + v + 1. Calculate -h(i) + 2*r(i).
-i**2 + i - 106
Let m(w) be the second derivative of 0 - 23*w + 0*w**2 - 1/2*w**3. Let t(c) = -c**2 + c. What is m(f) + 3*t(f)?
-3*f**2
Let j(g) = 3*g**2 + 6*g + 2. Let t(s) = -4*s**2 - 7*s - 3. Let c = 2545 + -2550. Let d = -9 - -5. Give c*j(h) + d*t(h).
h**2 - 2*h + 2
Let j(s) = 2*s**2 + 6*s + 4. Suppose 3*t + 16*l - 15 = 19*l, 2*t = 4*l + 10. Let m = 0 - 1. Let c(k) = k + 1. Give m*j(b) + t*c(b).
-2*b**2 - b + 1
Let l = 177 - 178. Let m(q) = -4*q**2 - 2*q - 3. Let u(h) = -1. Calculate l*m(f) + 4*u(f).
4*f**2 + 2*f - 1
Let t(y) = y. Let s = 119/6 - 19. Let u(r) be the second derivative of s*r**3 + 0*r**2 + 7*r + 0. Give -6*t(x) + u(x).
-x
Let n(h) = -3*h**2 - 4*h. Suppose -4 = -141*j + 140*j. Let k(b) = -5*b**2 - 7*b. Calculate j*k(u) - 7*n(u).
u**2
Let s(h) = 3*h**3 + 21*h**2 - 8*h - 10. Let x
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 1 - 3*j + q. Let a(u) = 14*u**2. Determine x(a(c)).
-14*c**2
Let l(k) = -25*k**2. Let d(n) be the third derivative of -n**4/12 - 187*n**2. Give l(d(o)).
-100*o**2
Let c(r) = -17*r. Let l(b) = -26*b**2 - 10 + 32 - 22. Give l(c(o)).
-7514*o**2
Let o(c) be the third derivative of c**5/30 + 35*c**2. Let f(b) = 108*b. Give o(f(y)).
23328*y**2
Let a(s) = -27*s**2 + 1323*s. Let q(t) = -4*t. Give a(q(p)).
-432*p**2 - 5292*p
Let z(s) = 9*s. Suppose 9*k - 4*k - 75 = 0. Let h(r) = k*r + 7*r - 20*r. What is z(h(g))?
18*g
Let m(k) = 2*k**2 - 2*k. Let j = 20 - 26. Let y(d) = -d. Let a(l) = j*y(l) + 3*m(l). Let z(g) = -2*g**2. Calculate a(z(p)).
24*p**4
Let h(q) = -7*q**2. Let r(g) = g**2 - 15*g. Let a(l) = l**2 - 4*l. Let b(n) = -2*a(n) + r(n). Give h(b(v)).
-7*v**4 - 98*v**3 - 343*v**2
Let d(w) = -14*w**2. Let i(h) = -3211*h. Give i(d(j)).
44954*j**2
Let r(k) = -k**2. Let m(o) = 19508*o. Determine m(r(t)).
-19508*t**2
Let o(k) be the third derivative of 0*k + 10*k**2 + 0*k**3 + 0*k**4 + 0 + 1/12*k**5. Let x(a) = 4*a. Calculate o(x(p)).
80*p**2
Let a(v) = -6*v**2. Let m(r) = 5497*r**2. What is m(a(l))?
197892*l**4
Let m(i) = -10*i**2 + 593. Let p(x) = 7*x**2. Determine m(p(u)).
-490*u**4 + 593
Let j(u) = u**2. Let n(k) = 27*k - 5. Let m(i) = 22*i - 4. Let s(q) = -5*m(q) + 4*n(q). What is j(s(p))?
4*p**2
Let z(x) = -39*x. Let h(t) = -21852*t. Give z(h(m)).
852228*m
Let z(t) be the third derivative of -t**4/12 - 32*t**2. Let m(v) = -54*v. Give z(m(b)).
108*b
Let y(u) = -u**2. Let a(d) = -17*d - 475. What is y(a(h))?
-289*h**2 - 16150*h - 225625
Let y(p) = 9*p. Let t(o) = o**3 + o - 1. Let z be t(-2). Let n = z + 13. Let q(b) = b - 2*b**n + b**2 - b. Give y(q(k)).
-9*k**2
Let u(l) = -2*l**2. Let w(h) = 18093*h**2 + 25. Determine w(u(z)).
72372*z**4 + 25
Let g(p) = -18*p**2 + 56. Let w(s) = -64*s + 2. Calculate g(w(n)).
-73728*n**2 + 4608*n - 16
Let z(g) = 15*g. Let a = -16 - -18. Let q(v) = -199*v**a + 100*v**2 + 100*v**2. What is q(z(u))?
225*u**2
Let m(q) = -53896*q**2. Let j(l) = -2*l. Give m(j(r)).
-215584*r**2
Let f(a) = 8*a - 3. Let w(j) = -3*j + 1. Let g(l) = -f(l) - 3*w(l). Let z(v) = 25*v**2. Calculate g(z(c)).
25*c**2
Let d(k) = -14*k**2 - 5*k - 5. Let r(h) = -7*h**2 - 2*h - 2. Let t(w) = 2*d(w) - 5*r(w). Let o(q) = 2*q. What is t(o(i))?
28*i**2
Let h(p) = 6*p**2. Let c(w) be the first derivative of -11*w**4/12 + 16*w + 36. Let k(m) be the first derivative of c(m). Give h(k(j)).
726*j**4
Let m(g) = 8801*g. Let x(y) = 3*y. Determine m(x(r)).
26403*r
Let w(g) = 19*g**2 + 2*g + 5. Let h(b) = -3*b**2. What is w(h(j))?
171*j**4 - 6*j**2 + 5
Suppose 5*w + 3 = 13. Let b(z) = -4*z - z**w + 4*z. Let t(y) be the third derivative of -y**5/15 - 18*y**2. Calculate b(t(r)).
-16*r**4
Let w(j) = 2*j**2. Let v(l) = 270852*l. Give v(w(h)).
541704*h**2
Let g(t) = 4*t - 3. Let k(d) = -28*d + 20. Let y(f) = 20*g(f) + 3*k(f). Let u = -165 + 177. Let r(c) = -32*c + u*c + 10*c + 8*c. Give r(y(m)).
8*m
Suppose 3*t + 2*c - 12 = 0, -5*t + 19 = 3*c - 0*c. Let s(p) = 4*p**2 - p - 2. Let m be s(t). Let h(o) = -19*o + 9*o + m*o. Let x(i) = -10*i. Give h(x(q)).
-20*q
Let d be (-65)/(-35) - (-3)/21. Let l(g) = 0*g**2 - 9 + 9 + d*g**2. Let s(h) = -6*h + 4 - 4. Give l(s(i)).
72*i**2
Let z(t) = -t**2 - 296*t. Let a(w) = -3*w + 10. Let x(o) = -4*o + 12. Let v(s) = 6*a(s) - 5*x(s). Determine v(z(l)).
-2*l**2 - 592*l
Suppose 0 = -0*l - 3*l + 5*s - 32, -5*l + 4*s = 49. Let c(q) = -q**2 - 10*q - 7. Let h be c(l). Let g(j) = -3 + j + 3 - h*j. Let r(v) = -3*v. Determine r(g(d)).
3*d
Let m = 98 - 63. Let y(j) = j - 35 + m. Let k(g) = g. Let p(i) = 2*i**2 - 2*i. Let l(u) = -4*k(u) - 2*p(u). Calculate l(y(q)).
-4*q**2
Let h(b) = 292*b - 189*b - 105*b. Let v(y) = -38*y + 1 - 1. Calculate v(h(z)).
76*z
Let y(v) = 3*v**2. Let i(r) = -21109*r**2. Give y(i(n)).
1336769643*n**4
Let l(w) = 3*w. Let s(o) = -o**2. Let c(z) = 3*z. Let g(v) = -c(v) + 4*s(v). Let x(d) = 8*d + 4*d**2 - d - 3*d. Let a(i) = 4*g(i) + 3*x(i). Give l(a(n)).
-12*n**2
Let p(x) = x. Let r(l) = -23936*l. Calculate p(r(t)).
-23936*t
Let o(a) = 2*a**2. Let v(q) = -q**2 - 7. Let h(d) be the second derivative of 1/2*d**2 + 0 - 3*d. Let k(i) = -21*h(i) - 3*v(i). What is o(k(y))?
18*y**4
Let m(q) = 55*q**2. Let t(h) = -2770*h**2. Give t(m(w)).
-8379250*w**4
Suppose 0 = 2*g - 3*g + 18. Let k(l) = 2*l + 18. Let d be k(g). Let a(n) = -8*n - 28 - 26 + d. Let t(f) = -2*f**2. Determine a(t(h)).
16*h**2
Let n(p) = -2*p. Let i(b) = 183*b - 1570 + 1570 + 144*b. Determine n(i(v)).
-654*v
Let a(g) = 10*g**2 + 7. Let q(o) = -o**2 - 1. Let j(t) = -3*a(t) - 21*q(t). Let m(u) = 3*u**2. What is m(j(z))?
243*z**4
Let p(x) be the third derivative of x**5/20 - x**2. Let w(o) = 111*o - 15. Let u(k) = -14*k + 2. Let g(z) = 15*u(z) + 2*w(z). Determine p(g(r)).
432*r**2
Let z(p) = 32*p**2 + 10*p + 10. Let n(l) = -3*l**2 - l - 1. Let v(q) = -10*n(q) - z(q). Let o(x) = -6*x. Determine o(v(h)).
12*h**2
Let a(q) = -3*q. Let b(j) = -242*j**2 - 42*j. Calculate a(b(l)).
726*l**2 + 126*l
Let x(o) = -6*o - 26. Let z be x(-7). Let t(k) = -1 + 1 - 15*k + z*k. Let n(m) = -2*m. Calculate t(n(u)).
-2*u
Let f(a) be the third derivative of -a**4/6 + 36*a**2. Let o(s) = -s**2 + 8 + 0*s**2 - 8. Calculate f(o(p)).
4*p**2
Suppose f + 5 = 5*z, -f + 4*f - 19 = -2*z. Let s be 2*1 - -1*17. Let d(x) = x**z - s + 19. Let i(c) = -7*c. What is i(d(q))?
-7*q**2
Let j(b) = -78586*b**2. Let u(x) = 2*x**2. What is u(j(f))?
12351518792*f**4
Let y(s) = 5*s**2. Let u = -17 + 21. Let n be (-1)/((16/(-20))/u). Let h(l) = n*l + 9*l - 15*l. What is y(h(x))?
5*x**2
Let o(d) be the second derivative of d**3/2 + 17*d**2/2 - 2*d + 1. Let i(w) = -w. Let p(r) = -2*r. Let f(q) = -7*i(q) + 4*p(q). What is f(o(z))?
-3*z - 17
Let i(h) = -5*h + 3*h + 4*h. Let s(l) = 7 + 46*l + 6*l**2 - 7 - 46*l. Give s(i(g)).
24*g**2
Suppose -7 = -3*b + 2. Let g(s) = -4*s - b*s + 9*s. Let r(x) be the first derivative of 6*x**3 + 41. What is g(r(f))?
36*f**2
Let h(v) = 5 - 5*v**2 - 4 - 1 + 15*v**2. Let u(c) = 16*c. Let a(s) = 5*s. Let d(g) = 10*a(g) - 3*u(g). Determine h(d(w)).
40*w**2
Suppose -3*a + 8*a = 25. Let b(u) be the first derivative of -5 + 12 - 5 - a*u**2. Let w(k) = k**2. Determine w(b(j)).
100*j**2
Let j(q) = q + 5. Let y(i) = -i - 7. Let r(l) = 7*j(l) + 5*y(l). Let k(d) be the second derivative of 0 + 0*d**2 + 1/3*d**3 + 8*d. Calculate k(r(g)).
4*g
Let x(l) be the first derivative of -l**5/30 + 9*l**2 + 15. Let p(g) be the second derivative of x(g). Let u(o) = 4*o**2 + 1 - 1. What is p(u(q))?
-32*q**4
Let j(s) = -7*s - 3. Let m(v) = -65*v. Determine m(j(y)).
455*y + 195
Let s(u) = 8*u + 6. Let j(k) = 15*k + 11. Let c(y) = 6*j(y) - 11*s(y). Let v(x) = 7840*x - 15703*x + 7849*x. Calculate c(v(w)).
-28*w
Let q(g) = -9*g - 8. Let j(b) = -12*b - 10. Let o(u) = 4*j(u) - 5*q(u). Let n(x) = -26*x. What is n(o(k))?
78*k
Let x(b) = 10618*b. Let y(f) = 38*f**2. Calculate x(y(u)).
403484*u**2
Let w(q) = 63*q**2. Let u(g) = -6*g + 6. Let t(n) = -3*n + 4. Let y(z) = -3*t(z) + 2*u(z). Calculate y(w(b)).
-189*b**2
Let i(j) = 2*j + 9 - 2*j - j. Let k(h) = 8 - 12 + 5. Let n(o) = 4*i(o) - 36*k(o). Let g(t) = 2*t**2. What is g(n(s))?
32*s**2
Let q(t) = t**2 - t. Let a(g) = -190*g**2 + 4*g. Let u(i) = a(i) + 4*q(i). Let n(x) = 2*x. What is n(u(r))?
-372*r**2
Let b(t) be the first derivative of -t**4/4 + 8*t**3/3 - 7*t**2/2 + t + 1. Let r be b(7). Let o(w) = -2*w + 0 + r - 1. Let h(x) = -11*x**2. Give o(h(m)).
22*m**2
Let i(d) = -18*d + 40. Let n(v) = -26*v + 56. Let p(w) = 7*i(w) - 5*n(w). Let u(q) be the third derivative of q**4/3 + q**2. What is p(u(c))?
32*c
Let n(r) = 5*r - 3. Let h(t) = 5*t + 20. Let l(d) = 2. Let f(w) = h(w) - 10*l(w). Calculate f(n(x)).
25*x - 15
Let t(j) = -2*j. Let v(o) = -5001*o. Determine v(t(n)).
10002*n
Let d(y) = y. Let h = 12 + -10. Let l be h/5 - 6/15. Let x(c) = 4*c + c + l*c. Calculate x(d(z)).
5*z
Let l(o) = 39*o**2 + 3. Let q(w) = 10 + 2*w - 2 - 16 + 8. Calculate q(l(g)).
78*g**2 + 6
Let g(a) = 2*a + 15. Let t(x) = -3. Let s(n) = -3*g(n) - 15*t(n). Let o(i) be the third derivative of -i**5/10 - 4*i**2 - 1. Give s(o(b)).
36*b**2
Let a(y) = -9*y**2 - 27. Let k(h) = 4*h**2 + 13. Let w(u) = 6*a(u) + 14*k(u). Let r(g) be the first derivative of w(g). Let i(n) = -4*n**2. Give r(i(z)).
-16*z**2
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
-776?
-768
Are 1 and 3/3770 nonequal?
True
Which is bigger: -18 or -10?
-10
Is 3/11 bigger than 46?
False
Which is greater: -0.03 or 0.32?
0.32
Which is smaller: -8/19 or -1?
-1
Which is smaller: -2/7 or 4/25?
-2/7
Is -4 less than or equal to 3/70?
True
Which is smaller: 938/3 or 314?
938/3
Is -1 >= -19.074?
True
Which is bigger: -99 or -98?
-98
Is -2/301 less than 1?
True
Which is smaller: 0.08 or -4.5?
-4.5
Is 22 greater than or equal to 3.1?
True
Which is bigger: 413 or 415?
415
Is 6 smaller than -1/2?
False
Does -1 = 665/3?
False
Is 32.3 < 2?
False
Which is smaller: -28.3 or -23?
-28.3
Which is greater: 33 or -10?
33
Which is smaller: -1 or -2/5153?
-1
Is -2/17667 != 0?
True
Is 55.3 <= 3/4?
False
Is -1/5851 less than 0?
True
Which is smaller: 12386 or 12385?
12385
Is 80/307 less than or equal to 1?
True
Do 309 and -1 have the same value?
False
Is -587 greater than -583?
False
Is 416 < 415?
False
Which is greater: 2 or 232/199?
2
Which is smaller: -1/4 or 2/137?
-1/4
Which is smaller: -95 or -99?
-99
Which is greater: 14/169 or 1?
1
Which is bigger: -3276 or -3275?
-3275
Which is smaller: -1 or 21/83?
-1
Is -7 != -8.3?
True
Which is smaller: 402 or 400?
400
Is 2061 at most 2061?
True
Is 867 at least as big as 1733/2?
True
Is 7 greater than 15?
False
Is 196 not equal to 214?
True
Which is bigger: 7987/5 or 1596?
7987/5
Which is greater: 227 or 225?
227
Is -70/43 bigger than -1/6?
False
Which is bigger: 2/5991 or 0?
2/5991
Which is smaller: -2 or -0.05?
-2
Is -1 at least 3/7006?
False
Is -27126 < -27126?
False
Is 966 < 970?
True
Which is bigger: 1/5 or -21/115?
1/5
Which is smaller: 0.1 or -688?
-688
Which is bigger: -2524 or -2526?
-2524
Is 1/2 at least 0?
True
Is -5/1594 greater than or equal to 1?
False
Is 157 equal to -14?
False
Which is bigger: -2/3 or 10.71?
10.71
Is 1/5 less than or equal to -0.288?
False
Are 51089 and 51089 unequal?
False
Which is smaller: 13/509 or 1?
13/509
Is -3/5 < 4/13?
True
Is 0 greater than -44/171?
True
Which is bigger: 613 or 612?
613
Is -376/21 not equal to -18?
True
Which is smaller: 1/14642 or -1?
-1
Which is greater: -10/161 or 1?
1
Which is greater: 58 or -1?
58
Is 1 less than 5/558?
False
Does 0.6 = 0.5?
False
Which is smaller: -2/385 or 1?
-2/385
Which is greater: -6675 or -6674?
-6674
Is 0 less than or equal to 1/350?
True
Which is smaller: 0.2 or -132?
-132
Is -3/16 > -12?
True
Which is greater: 1016 or 1018?
1018
Are -1/596 and -1 non-equal?
True
Is 30.3 not equal to -0.2?
True
Is 1665 bigger than 1663?
True
Which is smaller: -2/213 or 5?
-2/213
Which is smaller: 5/12 or -1?
-1
Which is bigger: 192 or 191?
192
Is 1 at least as big as 3/2765?
True
Does 814/9 = 90?
False
Do -9/1616 and -1 have the same value?
False
Which is bigger: -193 or -1726/9?
-1726/9
Is -6 < -64/11?
True
Is -332/19 greater than or equal to -18?
True
Which is smaller: -30 or -35?
-35
Is 0 at least as big as -1/88?
True
Which is bigger: 38/43 or 2?
2
Which is smaller: -101/10 or -11?
-11
Is 3 at most as big as -41/4?
False
Which is smaller: -111 or 1?
-111
Which is bigger: 649 or 647?
649
Is -245 less than or equal to -63?
True
Is -19.71 > -2/3?
False
Which is greater: -51 or -659/13?
-659/13
Which is greater: -21 or -174?
-21
Which is smaller: -57 or -56?
-57
Which is greater: 7/1298 or 0?
7/1298
Are 187 and -0.028 unequal?
True
Which is smaller: -108 or -119?
-119
Is 17807 less than or equal to 17807?
True
Is -1 at least as big as 0.001?
False
Is -10.7 not equal to -24?
True
Which is greater: -39/19 or -1?
-1
Which is smaller: 0 or -133/426?
-133/426
Is 0 at most as big as 1/249?
True
Which is smaller: -1 or 1/691?
-1
Which is smaller: -7 or 124?
-7
Are -131 and -127 unequal?
True
Which is greater: -360 or -367?
-360
Which is bigger: -35/1279 or 1?
1
Which is greater: -6 or 19?
19
Which is smaller: -15 or -270/19?
-15
Is -432 at least as big as -7350/17?
True
Is 16 > -0.01?
True
Is -2108 at most as big as -4215/2?
True
Are 454 and 452 equal?
False
Which is bigger: 550 or 562?
562
Are -37 and -34 nonequal?
True
Is 6955 < 6955?
False
Which is smaller: -3/391 or -1?
-1
Which is smaller: -3343 or -3340?
-3343
Is -93 at most as big as -92?
True
Which is smaller: -103 or -723/7?
-723/7
Which is smaller: -11/3 or -0.01?
-11/3
Which is greater: -293 or -3230/11?
-293
Which is smaller: 895 or 898?
895
Is 1/445 at most 0?
False
Is 1 < -1/48445?
False
Which is greater: 1 or 181/110?
181/110
Which is greater: 5402 or 5401?
5402
Which is bigger: 24 or -52?
24
Is -35 at most -5?
True
Is 116 at most 112?
False
Is -77 less than -1?
True
Is 1.117 at most -0.1?
False
Which is greater: -24 or -4?
-4
Is -2 at least as big as -2?
True
Which is bigger: 0 or -43?
0
Which is bigger: -68/105 or 0?
0
Is 0.718 greater than -1?
True
Which is smaller: -3 or 0.06?
-3
Is -470 != -470?
False
Which is greater: 3480 or -9?
3480
Are -218 and -116 unequal?
True
Which is smaller: -2/3779 or 0?
-2/3779
Which is greater: -44 or -341/8?
-341/8
Which is smaller: -463 or -465?
-465
Is -0.056 not equal to -4/5?
True
Is 0 > -53/24?
True
Is 153 at least as big as 1079/7?
False
Is 4/331 bigger than -1?
True
Is -14 != 102?
True
Is -3/173 greater than or equal to 1?
False
Is -127 less than or equal to -126?
True
Is 139 bigger than 26?
True
Which is bigger: 9 or -8?
9
Are 12374 and 12374 unequal?
False
Which is greater: 2 or 141?
141
Is -75 bigger than -527/7?
True
Which is greater: -1 or -3890/7?
-1
Which is smaller: 2 or 10.94?
2
Which is smaller: 22/103 or 1?
22/103
Is 2/849 < 0?
False
Is 83 less than or equal to -2?
False
Which is bigger: -155 or -150?
-150
Is 1 less than or equal to -12/283?
False
Which is bigger: 11 or 1/3?
11
Is 0.0275 greater than or equal to -1/19?
True
Which is smaller: -58 or 30?
-58
Is 49 at least 18?
True
Do 320 and 323 have the same value?
False
Which is smaller: 15 or -4/13?
-4/13
Is 47 equal to 8?
False
Which is bigger: -2.26 or -1?
-1
Which is bigger: -1 or 213?
213
Is -220 not equal to -8?
True
Which is bigger: 0 or 3691?
3691
Is 0 at least -1/1724?
True
Is 2 at least 749?
False
Are 678 and 676 nonequal?
True
Which is smaller: 2418 or 2417?
2417
Is 6 < 139/27?
False
Is 86/5 at most as big as -1?
False
Is -0.1 greater than or equal to -1.13?
True
Is 13 smaller than 230/17?
True
Which is greater: -1 or -7/541?
-7/541
Which is greater: -1.83 or -0.2?
-0.2
Do 66 and 0.2 have the same value?
False
Is -132/25 at least as big as -5?
False
Which is smaller: -18 or -97/5?
-97/5
Which is smaller: 38 or 30?
30
Which is greater: 2207 or 2208?
2208
Which is smaller: -8.7 or -1/2?
-8.7
Which is greater: 2/2517 or 0?
2/2517
Which is bigger: -1 or -1205?
-1
Do -456 and -30 have different values?
True
Is 8 at least as big as -207?
True
Are -6680 and -6675 nonequal?
True
Are -10823/3 and -3607 non-equal?
True
Is -2 not equal to -28/17?
True
Is 3 at most as big as 56/33?
False
Is 12/251 equal to -1?
False
Which is smaller: 30 or 18?
18
Which is bigger: -1803 or 3?
3
Are -1369 and -1367 equal?
False
Is -471 <= -469?
True
Which is greater: -3123 or -3122?
-3122
Are -1 and -24375 nonequal?
True
Is 8/185 at least as big as 1?
False
Is 0.085 greater than or equal to -51?
True
Which is smaller: 662 or 664?
662
Do -723 and -725 have the same value?
False
Which is bigger: -14/599 or 1?
1
Which is bigger: -1/72 or 0?
0
Is 86 equal to -1/2?
False
Is 243 < 242?
False
Which is smaller: -1 or -7/13?
-1
Is 1 > -2.12?
True
Which is smaller: 7311 or 7315?
7311
Which is smaller: 11 or 8?
8
Which is smaller: -667 or -669?
-669
Is 1 less than or equal to 2/1793?
False
Which is smaller: 4 or 1/4?
1/4
Which is smaller: 1 or 7/10569?
7/10569
Is -42 less than -932/23?
True
Which is bigger: -1 or -9/328?
-9/328
Is 3/8 at least 114?
False
Which is smaller: 116 or 142?
116
Is 9/412 < 0?
False
Is -288 >= -282?
False
Which is smaller: -8552 or -8551?
-8552
Which is smaller: -22/53 or 0?
-22/53
Which is smaller: 3609 or 3606?
3606
Which is smaller: -1186 or -1177?
-1186
Which is smaller: 32 or 61/2?
61/2
Which is bigger: -2/5 or -189?
-2/5
Is 11 <= 38?
True
Is 3 at most as big as 58/25?
False
Which is smaller: 70/1069 or 0?
0
Which is greater: 18/5 or -0.18?
18/5
Is -909 bigger than -905?
False
Is -5/4 <= -1?
True
Which is bigger: 1 or 3/12089?
1
Do -3/61 and 0 have the same value?
F
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of -w**3/2 + w**2/2 + 8*w. Find the first derivative of s(j) wrt j.
-3
Let k(t) be the first derivative of -t**4/4 + 15*t**2/2 + 3. Find the second derivative of k(i) wrt i.
-6*i
Let h(v) be the second derivative of -11*v**6/6 + 13*v**2 + 5*v + 1. Find the first derivative of h(f) wrt f.
-220*f**3
Let m = -1 - -4. Suppose 3*k - b = 2*b - m, 5*b - 17 = 2*k. What is the third derivative of -4*u**2 + u**4 + 7*u**2 + 2*u**k wrt u?
72*u
Let y(k) be the first derivative of -7*k**2/2 + 6*k + 8. What is the derivative of y(r) wrt r?
-7
Let r be (-1)/(-2) + 70/28. Find the first derivative of -3 + c - c + r*c + 1 wrt c.
3
Let r(a) be the third derivative of a**7/280 + a**6/360 - a**3/2 + 3*a**2. Let h(b) be the first derivative of r(b). Find the third derivative of h(x) wrt x.
18
Let s(h) = h. Let a be s(2). Suppose 0 = -w + a*w - 5. What is the third derivative of -2*r**6 + 2*r**2 + 0*r**5 + 3*r**5 - 3*r**w wrt r?
-240*r**3
What is the third derivative of 0*a**3 + 32*a**4 + a**2 + 0*a**3 - 24*a**2 wrt a?
768*a
Let x be 11*(4 + (-12)/4). Find the first derivative of -10*h**3 + 2 - x + 7*h**3 wrt h.
-9*h**2
Let n(b) = b**2 + 3*b + 4. Let i(h) = -6*h**2 - 17*h - 23. Suppose -3*k - 84 = k. Let w = -13 + k. Let x(o) = w*n(o) - 6*i(o). Differentiate x(v) wrt v.
4*v
Let q(f) = f**5 - f**3 + f**2. Let u(s) = 35*s**5 + 3*s**3 - 3*s**2 - 38*s. Let p(a) = -3*q(a) - u(a). Find the second derivative of p(i) wrt i.
-760*i**3
What is the third derivative of 0*b**3 + 6*b**5 - 11*b**2 + 0*b**3 + 0*b**3 wrt b?
360*b**2
Let d(u) = -21*u - 30. Let h(k) = 106*k + 151. Let t(o) = -11*d(o) - 2*h(o). What is the derivative of t(b) wrt b?
19
Suppose -4*l + 0 = -8. Let v(f) be the first derivative of 1/3*f**3 + 2 - 1/6*f**6 + 0*f + 0*f**4 + 0*f**5 + 0*f**l. Find the third derivative of v(p) wrt p.
-60*p**2
Let p = -287/6 - -48. Let y(h) be the second derivative of 0*h**5 + 4*h + 0 + 1/10*h**6 + 0*h**4 + p*h**3 + 0*h**2. Find the second derivative of y(x) wrt x.
36*x**2
What is the third derivative of i**3 - 6*i**3 - i**2 - 3*i**2 wrt i?
-30
Let t(i) = 2*i**3 + i. Let k be t(1). Let u be k/1 + 0 + 3. What is the third derivative of -p**2 + 5*p**2 + 3*p**u - p**2 wrt p?
360*p**3
Let q(t) = -24*t**4 - 5*t**3 + 14*t**2 - 5. Let m(w) = -24*w**4 - 4*w**3 + 14*w**2 - 4. Let i(d) = 5*m(d) - 4*q(d). What is the third derivative of i(p) wrt p?
-576*p
Let g(i) = i**4 + i**3 + i**2 - 1. Let l(r) = -15*r**4 - 6*r**3 - 6*r**2 + r + 6. Let w(h) = -6*g(h) - l(h). What is the second derivative of w(p) wrt p?
108*p**2
Let z(j) = -2*j + 1. Let o be z(1). Let w = 1 - o. What is the second derivative of 4*u**2 + 2*u**2 - 2*u - 4*u**w wrt u?
4
Let z be -3 + (-2 - 1) + 10. Let j(o) be the second derivative of 0 - 1/20*o**5 + 0*o**z + 0*o**3 - 1/2*o**2 + o. Differentiate j(x) wrt x.
-3*x**2
Differentiate -6 + 12 - 10 - 21*w**3 with respect to w.
-63*w**2
Let u(x) be the first derivative of x**5/5 - 6*x**3 + 11. What is the third derivative of u(l) wrt l?
24*l
Let v(t) = -2*t**3 - 2*t + 3. Let b(o) = 38*o + o**3 - 39*o + 0*o**3. Let w(x) = 2*b(x) - v(x). Differentiate w(c) wrt c.
12*c**2
What is the second derivative of 193*d + 32*d**2 - 113*d - 105*d wrt d?
64
Let v(s) be the third derivative of 9*s**7/70 + s**6/60 + 8*s**5/15 - 2*s**2 + 3*s. What is the third derivative of v(g) wrt g?
648*g + 12
Let j(k) = k**2 - 6*k + 7. Let o be j(5). Suppose -4*g + 16 = 2*x, -6*g + 3*g = -4*x - 12. Find the second derivative of -o*b**2 + 0*b - 3*b + g*b wrt b.
-4
Suppose 4*i = i. What is the first derivative of 2*y**2 - y**2 + 0*y**2 + 2 + i wrt y?
2*y
Let l(x) be the second derivative of 17*x**6/30 + 11*x**3/3 + 21*x. What is the second derivative of l(g) wrt g?
204*g**2
Let p(h) be the first derivative of h**4/4 + h**3/3 - h**2 - 2. Let w be p(-2). What is the second derivative of f + f**5 + f + w*f wrt f?
20*f**3
Let m = 22 - 14. Find the first derivative of m*j**3 - 3*j**3 - 4 + 2 wrt j.
15*j**2
Let n(b) = b**2 + 4*b - 3. Let k be n(-5). Find the second derivative of -j**2 + 2*j - 5*j**k + 4*j**2 wrt j.
-4
Let f(m) be the second derivative of -m**2 + 1/2*m**3 + 0 - 3*m. Differentiate f(q) wrt q.
3
Let r(q) = 34*q**4 - 5*q**2 - 5*q - 20. Let h(l) = l**4 - l**2 - l + 1. Let k(j) = 5*h(j) - r(j). Find the first derivative of k(g) wrt g.
-116*g**3
Let z be (-4)/5*(-5)/2. What is the third derivative of 2*b**2 + b**6 - 5*b**2 + z*b**2 wrt b?
120*b**3
Let a(v) = -v**2 - 6*v + 2. Let t be a(-6). Suppose 4*z - 5*w = -17, 0 = -t*z + 5*w - w - 16. Differentiate -2*r - 1 - 3 + z + 4 with respect to r.
-2
Let z(k) be the first derivative of -3*k**8/560 + k**6/72 + 4*k**3/3 + 3. Let m(b) be the third derivative of z(b). What is the third derivative of m(w) wrt w?
-216*w
What is the third derivative of 0*p**5 - 2*p**5 - 9*p**2 + p**5 + 3*p**5 wrt p?
120*p**2
Let k(i) be the second derivative of 7/20*i**5 + 0*i**2 + 7/6*i**3 + 0 + 0*i**4 + i. Find the second derivative of k(n) wrt n.
42*n
Suppose 4*z = 9*z - 20. Let w(o) be the second derivative of 0*o**3 + 0 + 0*o**2 + 1/6*o**z - 1/10*o**5 + 2*o. Find the third derivative of w(a) wrt a.
-12
Let q be (3 - 5)*(-2)/(-4). Let b = 10 - q. Let m(h) = 10*h + 6. Let i(d) = 2*d + 1. Let j(t) = b*i(t) - 2*m(t). What is the first derivative of j(x) wrt x?
2
Let p(m) = m**2 + 7*m. Let g(z) = -4*z. Let f be (3/4)/((-4)/(-16)). Let b(j) = f*p(j) + 5*g(j). What is the second derivative of b(c) wrt c?
6
Let s(i) be the first derivative of -6*i**7/7 - 5*i**3/3 - 5. What is the third derivative of s(b) wrt b?
-720*b**3
Let h be (9/(-6))/((-6)/8). Let c(p) be the second derivative of 0*p**2 + 0 + 1/3*p**4 - h*p - 1/2*p**3. Find the second derivative of c(y) wrt y.
8
Let w(y) = 15*y + 18. Let k(p) = 22*p + 27. Let l(c) = 5*k(c) - 7*w(c). Find the first derivative of l(m) wrt m.
5
Suppose 6*l = 3*l + 21. Find the second derivative of -5*o + l*o**5 - 4*o**5 - 2*o**5 wrt o.
20*o**3
Let u(h) be the first derivative of 0*h**2 - 1/4*h**4 + 1 + 0*h - 2/3*h**3. Find the third derivative of u(s) wrt s.
-6
Find the second derivative of -2*d**3 + d**3 - 206*d + 273*d + 29*d**5 wrt d.
580*d**3 - 6*d
Let q(p) = -p**4 + p**3 + p - 1. Let z(a) = -9*a**4 + 2*a**3 - 2*a - 2. Let c(n) = 2*q(n) - z(n). Find the second derivative of c(d) wrt d.
84*d**2
Let a(z) = -z**2 - 6*z + 8. Let b be a(-6). Let w = b - 5. What is the derivative of 4 - 3 + w*v**2 - 4*v**2 wrt v?
-2*v
Let q(m) be the second derivative of -11*m**5/10 + 3*m**2/2 + 6*m. What is the first derivative of q(d) wrt d?
-66*d**2
Let w = 0 + 3. Find the third derivative of 5*m**4 + m**2 - w*m**4 - m**4 + 0*m**4 wrt m.
24*m
Let q(o) = -27*o - 38. Let u(x) = -56*x - 77. Let k(w) = 13*q(w) - 6*u(w). What is the derivative of k(l) wrt l?
-15
Suppose 3*j = 3*o + 12, 0*o = -4*j - 5*o + 7. Let q be 2 - (-2 + (j - 2)). Find the second derivative of -l - 2*l**3 + 3*l**q + 5*l**3 - 5*l**3 wrt l.
6*l
Let h(m) be the third derivative of m**9/168 + 7*m**5/60 + 7*m**2. What is the third derivative of h(j) wrt j?
360*j**3
What is the third derivative of q**2 + 23*q**6 + 8*q**2 - 6*q**2 wrt q?
2760*q**3
Suppose 4*g - g = 0. Differentiate 0*u + g + 0 - 1 - 2*u wrt u.
-2
Suppose -2*n + 16 = p + 2, -28 = -4*n - 3*p. Suppose n*f - 8 = 3*f. What is the second derivative of f*w - 2*w**4 - 4 + 4 wrt w?
-24*w**2
Let h = -13 + 7. Let v = h - -10. Find the first derivative of 2 + 2*w**v - 5*w**4 - 4 wrt w.
-12*w**3
Let i = 6 + -4. Find the third derivative of i + 3*c**5 - 2 - 2*c**2 + c**2 wrt c.
180*c**2
Suppose -2*b - 2 = 4, -2*g + 5*b + 21 = 0. What is the third derivative of -10*i**4 - g*i**2 + 4*i**4 - i**3 + i**3 wrt i?
-144*i
Let f(u) be the second derivative of u**6/30 + 4*u**3/3 - 5*u**2/2 + 8*u. Let i(v) be the first derivative of f(v). Find the first derivative of i(z) wrt z.
12*z**2
Suppose -5*h - 10 + 20 = 0. Let r(y) be the third derivative of 1/30*y**5 + 0*y**3 + 0 - 1/12*y**4 + h*y**2 + 0*y. What is the second derivative of r(j) wrt j?
4
Let d(n) = n + 2. Let x be d(0). Suppose -6*v = v - 7. What is the first derivative of -x*p + 0*p + v + 0 wrt p?
-2
Let v(c) be the second derivative of 0*c**6 + 0 + 0*c**2 + 0*c**5 + 1/21*c**7 + c + 0*c**4 - 1/3*c**3. What is the second derivative of v(m) wrt m?
40*m**3
Suppose -v = 2, -6*o + 2*o = -4*v + 16. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
0. Determine c(-9).
-16
Let a(n) = -6*n + 53. Determine a(10).
-7
Let m(h) = h**3 - 14*h**2 - 33*h + 10. Calculate m(16).
-6
Let h(x) = -5*x**2 - 7*x - 6. Determine h(-5).
-96
Let u(m) = 2*m**3 + 3*m**2 + 3*m + 4. Determine u(-3).
-32
Let n(k) = -9*k - 9. What is n(-5)?
36
Let q(d) = 46*d**2 - 3*d - 1. Give q(-1).
48
Let c(b) = -b**3 - 6*b**2 + 17*b + 14. Determine c(-8).
6
Let w(g) = 2*g**3 + 24*g**2 + 21*g + 8. Calculate w(-11).
19
Let w(u) = u**3 - 8*u**2 + 3*u - 37. What is w(8)?
-13
Let m(z) = -14*z - 1. Determine m(-1).
13
Let n(t) = -t**3 + 6*t**2 - 3*t - 7. Determine n(6).
-25
Let v(a) = -11*a - 104. What is v(-10)?
6
Let m(y) = -y**2 + 17*y - 12. Determine m(17).
-12
Let o(n) = -n - 5. Determine o(5).
-10
Let w(q) = q**2 + 5*q - 5. Calculate w(-5).
-5
Let j(q) = q**2 - q - 5. Give j(2).
-3
Let g(m) = -2*m**3 + 53*m**2 - 22*m - 109. Calculate g(26).
-5
Let c(f) = f**2 + 6*f - 17. Give c(-6).
-17
Let o(c) = -7*c - 3. Calculate o(-1).
4
Let s(y) = -4*y + 2. Determine s(-7).
30
Let t(x) = x**3 - 5*x**2 + 2*x - 10. Determine t(5).
0
Let y(w) = -3*w - 7. What is y(-6)?
11
Let w(a) = a - 12. Determine w(13).
1
Let t(l) = -2*l**3 - l**2 + 2*l - 1. Determine t(1).
-2
Let k(v) = 2*v + 48. What is k(0)?
48
Let p(o) = -26*o + 20. Calculate p(1).
-6
Let p(a) = 56*a**2 + 4*a - 4. Calculate p(1).
56
Let k(n) = -n**2 + 6*n - 5. Give k(4).
3
Let r(t) = -t**3 + 7*t**2 - 4*t - 7. Calculate r(5).
23
Let p(j) = 2*j - 4. Give p(-1).
-6
Let d(u) = u**3 + 4*u**2 + 2*u - 9. What is d(-7)?
-170
Let t(h) = h**3 + 12*h**2 - 7*h + 3. Determine t(-12).
87
Let t(y) = -22*y**2 + 12*y. Give t(-2).
-112
Let t(y) = -y**2 + 4. Determine t(-4).
-12
Let r(w) = w**2 + 6*w + 16. Calculate r(-6).
16
Let a(z) = z - 5. What is a(10)?
5
Let t(x) = 2*x**3 - 6*x**2 - 16*x + 28. Determine t(4).
-4
Let x(v) = -v - 4. What is x(9)?
-13
Let s(c) = c**3 - 13*c**2 + 12*c + 2. Give s(12).
2
Let j(k) = -k**3 + 14*k**2 - 35*k + 13. Give j(11).
-9
Let s(r) = -r + 17. What is s(9)?
8
Let g(f) = -f**3 - 7*f**2 - 5*f - 22. Calculate g(-7).
13
Let y(r) = -3*r**3 - r**2 + r + 2. Determine y(-1).
3
Let l(c) = c**3 - 6*c**2 - c - 3. Determine l(6).
-9
Let l(b) = -b**3 - b**2 + 31*b - 61. Calculate l(3).
-4
Let s(d) = -d**3 - 3*d**2 + 2*d - 3. What is s(-3)?
-9
Let u(z) = z**3 - 16*z**2 + 29*z + 3. What is u(14)?
17
Let r(f) = 5*f + 5. Calculate r(-3).
-10
Let n(v) = 3*v + 9. What is n(10)?
39
Let i(u) = 7*u - 246. What is i(35)?
-1
Let f(o) = o**3 - 5*o**2 - 27*o - 10. Give f(-3).
-1
Let s(l) = -l**2 - 24*l - 37. Give s(-22).
7
Let i(k) = -5*k - 33. Give i(-10).
17
Let c(r) = r**3 - 5*r**2 - 3*r - 21. Determine c(6).
-3
Let g(h) = -3*h - 32. Calculate g(-12).
4
Let q(b) = -21*b - 398. What is q(-19)?
1
Let g(f) = -2*f**3 + f**2 + 9*f + 1. Determine g(-2).
3
Let x(g) = g**3 - 40*g**2 - 45*g + 129. Determine x(41).
-35
Let x(s) = -s**3 + s**2 + 8*s + 2. Give x(-3).
14
Let b(m) = -m**3 + 7*m**2 - 3*m + 2. Give b(7).
-19
Let t(l) = l**3 + 9*l**2 - 7*l + 36. Give t(-9).
99
Let n(j) = -j + 10. Determine n(12).
-2
Let m(h) = -h**3 + 7*h**2 - 11*h + 24. Give m(6).
-6
Let j(u) = 11*u - 39. What is j(8)?
49
Let x(y) = -y**2 - 11*y + 6. What is x(-9)?
24
Let m(y) = -4*y**2 + 11*y - 5. What is m(5)?
-50
Let h(l) = 7*l + 1. Give h(3).
22
Let p(l) = -l - 46. What is p(-38)?
-8
Let i(u) = u**3 + 8*u**2 + 3*u + 20. What is i(-8)?
-4
Let u(r) = -r**2 + 38*r - 327. Give u(13).
-2
Let q(y) = 51*y**3 + y**2 - 2*y + 1. Determine q(1).
51
Let n(o) = 5*o**2 - 1. Give n(-1).
4
Let u(c) = -c**2 - 9*c - 2. Calculate u(-8).
6
Let x(a) = -2*a**3 + 98*a**2 + 102*a - 108. Give x(50).
-8
Let w(r) = 2*r**2 + 23*r + 1. Determine w(0).
1
Let d(w) = -2*w**2 - 2*w + 4. What is d(2)?
-8
Let q(g) = g**2 + 5*g + 5. Determine q(-5).
5
Let i(p) = p + 31. Calculate i(-8).
23
Let w(l) = -4*l**2 + 33*l - 20. Give w(8).
-12
Let u(r) = -r**3 - 9*r**2 + 3*r + 12. What is u(-5)?
-103
Let u(g) = g**3 - 6*g**2 + 3*g + 6. What is u(6)?
24
Let z(j) = -j**3 - 9*j**2 + 8*j - 1. Determine z(-10).
19
Let r(c) = c**2 - 3*c - 2. Determine r(-4).
26
Let s(p) = 2*p**3 - 53*p**2 - 19*p - 211. Give s(27).
5
Let x(c) = -4*c + 5. Determine x(4).
-11
Let f(r) = r**2 + 6*r + 8. Give f(-4).
0
Let n(y) = 20*y - 107. What is n(6)?
13
Let c(j) = j**2 - 8*j - 34. Determine c(-3).
-1
Let t(x) = x**3 - x**2 + 22*x - 23. Determine t(1).
-1
Let y(b) = -b**2 - 11*b - 5. Determine y(-8).
19
Let b(d) = -d**3 - 6*d**2 - 7*d - 7. Determine b(-5).
3
Let s(i) = 4*i + 20. Determine s(-3).
8
Let b(z) = -z + 4. Give b(-8).
12
Let y(g) = -g + 9. What is y(10)?
-1
Let g(c) = c**3 + 8*c**2 + 4*c + 10. Determine g(-8).
-22
Let c(i) = i + 13. Calculate c(11).
24
Let v(y) = -2*y - 1. What is v(6)?
-13
Let v(m) = -m**2 - 20*m + 44. Determine v(-22).
0
Let r(h) = h**2 + 3*h + 3. Give r(3).
21
Let c(g) = 7*g**2 - 266*g. What is c(38)?
0
Let o(m) = 6*m**2 - 20*m + 15. What is o(3)?
9
Let m(u) = -u**3 - 5*u**2 + 15*u + 1. Give m(-7).
-6
Let n(h) = -h**2 - 11*h - 2. Give n(-9).
16
Let x(v) = 4*v - 7. What is x(3)?
5
Let h(g) = g**3 - 13*g**2 + 22*g + 9. Calculate h(11).
9
Let j(h) = -h**2 - 8*h + 10. Give j(-9).
1
Let h(c) = -c**2 - 27*c - 73. What is h(-6)?
53
Let g(m) = -8*m - 85. What is g(-10)?
-5
Let k(n) = -23*n - 258. Give k(-11).
-5
Let d(q) = -6*q**2 + 4*q - 2. Calculate d(2).
-18
Let d(l) = l - 19. Give d(20).
1
Let w(q) = 6*q + 65. Give w(-11).
-1
Let f(a) = a + 13. Calculate f(-13).
0
Let l(f) = -24*f - 55. What is l(-2)?
-7
Let c(n) = -n**2 - 13*n + 11. What is c(-16)?
-37
Let d(m) = -m**3 + 3*m**2 + 3. Determine d(3).
3
Let b(u) = u**3 - u. Calculate b(1).
0
Let v(a) = -a**3 - 9*a**2 - 8*a + 13. Calculate v(-8).
13
Let a(x) = x**3 - 7*x**2 + 10. Determine a(7).
10
Let n(g) = g**2 - 11*g - 11. Calculate n(9).
-29
Let h(v) = -v**3 + 32*v**2 - 34*v + 99. Give h(31).
6
Let d(m) = -m**2 - 8*m + 1. Give d(-9).
-8
Let k(u) = 2*u**3 + 9*u**2 + 13*u + 26. Calculate k(-4).
-10
Let d(l) = -120*l - 1197. Calculate d(-10).
3
Let q(f) = 2*f**2 - 9*f - 4. Give q(5).
1
Let k(c) = c**2 - 8*c + 1. Calculate k(9).
10
Let z(p) = p**2 - 15*p + 15. Give z(14).
1
Let z(n) = n**2 + 27*n - 91. What is z(-30)?
-1
Let o(r) = 18*r + 14. What is o(7)?
140
Let v(r) = r**2 + 21*r + 21. Give v(-20).
1
Let k(v) = -2*v**2 - 49*v + 89. What is k(-25)?
64
Let y(f) = -f**3 + 3*f**2 + f. Calculate y(3).
3
Let y(l) = 4*l. Determine y(-2).
-8
Let t(y) = 4*y**3 - 4*y**2 - 6*y - 2. Give t(-1).
-4
Let x(g) = -2*g - 55. Give x(-15).
-25
Let x(v) = -8*v - 65. Give x(-7).
-9
Let o(z) = -22*z + 21. Determine o(4).
-67
Let x(h) = -h**3 - 5*h**2 + 2*h + 2. Determine x(-3).
-22
Let d(a) = -a**3 + 8*a**2 - 13*a + 10. What is d(6)?
4
Let m(h) = h**2 + 22*h + 3. What is m(-22)?
3
Let w(u) = u**2 - 7*u - 3. Give w(5).
-13
Let h(g) = g**3 + 11*g**2 + 11*g + 14. Calculate h(-10).
4
Let m(a) = a**3 - 6*a**2 - 6*a + 9. Determine m(6).
-27
Let i(o) = -o**2 + 6*o + 12. Calculate i(6).
12
Let f(w) = -w**3 + 4*w**2 + 251*w + 28. Determine f(18).
10
Let s(c) = -c**3 + 4*c**2 + 3*c - 7. Give s(3).
11
Let k(x) = x**2 + 20*x + 10. Calculate k(-17).
-41
Let w(l) = 27*l**3 - 2*l - 1. What is w(-1)?
-26
Let c(p) = -29*p + 67. What is c(4)?
-49
Let k(s) = -5*s - 108. Calculate k(-33).
57
Let y(g) = -g**3 - 10*g**2 + 9*g - 11. What is y(-11)?
11
Let w(d) = -3*d - 3. Calculate w(10).
-33
Let b(d) = d**2 + 10*d - 6. Give b(-8).
-22
Let d(b) = -2*b - 9. Give d(-1).
-7
Let v(d) = d**3 + 27*d**2 + d + 31. Determine v(-27).
4
Let z(d) = 10*d - 147. Determine z(13).
-17
Let z(b) = -b**3 + 17*b**2 + 18*b + 4. Give z(18).
4
Let g(s) = -s**3 + 7*s**2 - 4*s - 5. Calculate g(4).
27
Let w(o) = 3*o + 52. What is w(-15)?
7
Let x(s) = -s - 39. Give x(-37).
-2
Let b(w) = w**3 - 3*w + 9. Determine b(-4).
-43
Let o(v) = 3*v + 19. What is o(4)?
31
Let i(s) = s**2 + 17*s + 1. What is i(-19)?
39
Let w(m) = -25*m - 213. Determine w(-8).
-13
Let c(v) = v - 1. Calculate c(-2).
-3
Let q(j) = -j**3 + 8*j**2 - 2*j - 25. Calculate q(7).
10
Let w(o) = 2*o**3 + 65*o**2 - 32*o + 33. Determine w(-33).
0
Let d(h) = -h**3 + 4*h**2 - 3*h - 1. Calculate d(3).
-1
Let h(t) = t**3 + 23*t**2 - 79*t - 19. Calculate h(-26).
7
Let z(k) = k**2 + k + 13. What is z(8)?
85
Let x(o) = -2*o. Calculate x(-5).
10
Let j(k) = -12*k**2. Give j(-1).
-12
Let w(s) = 4*s**2 + 33*s - 10. What is w(-8)
|
{
"pile_set_name": "DM Mathematics"
}
|
50.
50
What is the greatest common factor of 368 and 179952?
368
Calculate the highest common factor of 20710 and 1368.
38
What is the greatest common factor of 1096617 and 2139?
69
Calculate the highest common factor of 3806 and 86846.
346
What is the greatest common divisor of 402160 and 4840?
440
Calculate the greatest common divisor of 27778 and 668134.
1462
What is the highest common divisor of 259485 and 240?
15
What is the highest common factor of 567 and 82053?
81
Calculate the greatest common factor of 1192984 and 91.
13
What is the greatest common factor of 241942 and 16714?
274
Calculate the highest common divisor of 19 and 17378255.
19
Calculate the highest common factor of 151606 and 34.
34
Calculate the greatest common divisor of 6327 and 114.
57
What is the highest common factor of 128 and 576?
64
Calculate the greatest common divisor of 1827 and 1008.
63
Calculate the greatest common divisor of 18473 and 1781.
13
What is the greatest common factor of 579019 and 362?
181
Calculate the greatest common divisor of 18844 and 3304.
28
Calculate the greatest common factor of 362882 and 16354.
442
What is the highest common divisor of 20 and 110?
10
What is the greatest common factor of 202041 and 819?
63
Calculate the highest common factor of 960 and 13560.
120
What is the greatest common factor of 39964 and 2328?
388
What is the highest common divisor of 406 and 8961638?
406
What is the greatest common divisor of 707 and 23989?
7
What is the greatest common divisor of 36108 and 444?
12
What is the greatest common factor of 131406 and 7502?
242
Calculate the highest common factor of 14346 and 24.
6
What is the greatest common factor of 7785 and 1384?
173
What is the greatest common divisor of 9524 and 32?
4
Calculate the highest common divisor of 1265 and 3740.
55
Calculate the greatest common divisor of 3996428 and 238.
34
Calculate the highest common factor of 448 and 478592.
64
Calculate the highest common factor of 82624 and 304.
16
What is the highest common factor of 1521 and 1755?
117
What is the highest common factor of 367160 and 685?
685
Calculate the greatest common factor of 4570399 and 17.
17
Calculate the highest common factor of 139256 and 18928.
1352
What is the highest common divisor of 4250 and 442?
34
What is the highest common divisor of 23828 and 3330?
74
What is the highest common divisor of 8296 and 23?
1
Calculate the greatest common factor of 29822 and 2.
2
Calculate the highest common factor of 110480 and 40.
40
What is the greatest common divisor of 504 and 57372?
84
What is the greatest common divisor of 287203 and 623?
623
What is the highest common factor of 806 and 234?
26
Calculate the highest common divisor of 36420 and 30.
30
What is the highest common factor of 42845 and 182875?
1045
Calculate the greatest common divisor of 2556 and 1143.
9
Calculate the greatest common factor of 134808 and 123.
123
What is the greatest common divisor of 188 and 78349?
47
Calculate the highest common factor of 84 and 1233372.
84
What is the greatest common divisor of 108 and 85401?
27
What is the greatest common factor of 17652 and 162?
6
What is the greatest common divisor of 19908 and 31758?
474
Calculate the greatest common divisor of 4 and 170.
2
What is the highest common divisor of 24 and 1122?
6
Calculate the highest common divisor of 2737 and 4998.
119
What is the greatest common divisor of 139170 and 690?
30
What is the highest common factor of 275 and 14080?
55
What is the highest common factor of 116 and 41238?
58
What is the highest common factor of 28 and 4252?
4
What is the greatest common divisor of 2706 and 15708?
66
Calculate the highest common divisor of 584 and 4232.
8
What is the highest common divisor of 156651 and 2121?
303
What is the greatest common factor of 18 and 5079438?
18
What is the highest common divisor of 17618 and 5566?
46
Calculate the greatest common factor of 2996659 and 314.
157
Calculate the highest common divisor of 126945 and 312.
39
Calculate the highest common divisor of 1853680 and 136.
136
Calculate the greatest common divisor of 255 and 1958655.
255
What is the highest common divisor of 2871 and 81?
9
Calculate the highest common divisor of 225544 and 233.
233
What is the greatest common divisor of 42308 and 28?
28
Calculate the highest common factor of 854 and 39718.
14
What is the greatest common divisor of 16911 and 333?
9
Calculate the greatest common divisor of 74 and 125097.
37
What is the highest common divisor of 9685 and 39?
13
What is the highest common divisor of 23000 and 352360?
920
Calculate the greatest common factor of 129340 and 540.
20
What is the greatest common divisor of 7620 and 137922?
762
What is the greatest common divisor of 13604 and 10564?
76
What is the greatest common factor of 8966 and 126?
2
What is the highest common divisor of 19589 and 1273?
19
What is the highest common factor of 4701 and 2372438?
1567
Calculate the highest common divisor of 707 and 23533.
101
Calculate the greatest common divisor of 10 and 751850.
10
Calculate the highest common divisor of 972 and 8040.
12
Calculate the greatest common divisor of 471 and 9237.
3
What is the greatest common divisor of 358188 and 1824?
228
Calculate the greatest common factor of 97904 and 3364.
116
What is the highest common factor of 4290 and 345?
15
Calculate the highest common divisor of 24219 and 25461.
621
Calculate the highest common factor of 58 and 4814.
58
What is the greatest common factor of 791383 and 3873?
1291
What is the highest common factor of 3439 and 262450?
181
Calculate the highest common divisor of 2910330 and 27.
27
Calculate the highest common factor of 1728 and 11064.
24
What is the greatest common divisor of 504884 and 3164?
452
What is the greatest common factor of 2655 and 226265?
295
Calculate the highest common divisor of 442 and 2066571.
221
What is the highest common factor of 6482 and 105?
7
What is the greatest common factor of 4883 and 46003?
257
What is the greatest common factor of 2664168 and 78?
78
What is the highest common factor of 55 and 639320?
55
What is the highest common factor of 793 and 1807?
13
Calculate the highest common factor of 141 and 4353.
3
What is the greatest common factor of 11316 and 907166?
1886
Calculate the greatest common factor of 6 and 1551315.
3
What is the highest common factor of 7462 and 270067?
287
What is the highest common factor of 28067 and 5967?
221
What is the highest common factor of 152 and 91010?
38
Calculate the highest common factor of 2576785 and 5.
5
What is the highest common factor of 138431 and 7225?
289
Calculate the greatest common factor of 143207 and 147241.
2017
What is the highest common divisor of 84 and 36834?
42
Calculate the greatest common divisor of 2927 and 61.
1
Calculate the greatest common factor of 131482 and 1352.
338
What is the greatest common factor of 799 and 339293?
47
What is the highest common factor of 5052 and 492?
12
Calculate the greatest common factor of 692532 and 117.
9
Calculate the greatest common divisor of 243956 and 7668.
284
Calculate the highest common divisor of 1062999 and 658.
329
What is the greatest common divisor of 322800 and 12643?
269
What is the greatest common divisor of 4715 and 30590?
115
Calculate the highest common divisor of 1048 and 47946.
262
Calculate the highest common divisor of 161 and 25369.
23
Calculate the greatest common divisor of 66846 and 78.
78
What is the greatest common factor of 912 and 305216?
304
Calculate the highest common divisor of 101367 and 189.
63
What is the greatest common divisor of 24 and 536552?
8
Calculate the greatest common divisor of 7783 and 43.
43
Calculate the highest common factor of 219347 and 6564.
547
What is the highest common divisor of 88 and 4359256?
88
Calculate the highest common divisor of 4 and 31516.
4
What is the highest common divisor of 1375 and 868615?
55
Calculate the highest common factor of 4794 and 816.
102
Calculate the highest common divisor of 176 and 780131.
11
What is the greatest common divisor of 1743 and 5082?
21
Calculate the greatest common divisor of 8 and 114312.
8
Calculate the greatest common divisor of 208 and 195728.
208
What is the greatest common factor of 24522 an
|
{
"pile_set_name": "DM Mathematics"
}
|
4)/(6*((sqrt(175)*1 - sqrt(7)) + sqrt(7))).
32*sqrt(2)
Simplify ((sqrt(5472) + sqrt(5472)*-3*-1)*4)/((-2*sqrt(162))/(sqrt(576)*2 - sqrt(576))).
-256*sqrt(19)
Simplify -5*(2*(-5 + sqrt(75))*-4 + -2 + -2)**2.
-30480 + 14400*sqrt(3)
Simplify 3*(2*sqrt(119)*6*-2)/(1*-1*(sqrt(7) + sqrt(7)*-2)).
-72*sqrt(17)
Simplify ((sqrt(121) - (1*sqrt(121)*3 - sqrt(121))) + 1*-3*sqrt(121))/((5*-1*sqrt(66) + sqrt(66))/(1*(-2*sqrt(6) - sqrt(6)))).
-3*sqrt(11)
Simplify -4*(-5 + -3*(-1 + (-2 + sqrt(72) + -3 - (-1 + sqrt(72) + -5)))).
20
Simplify 4 + (sqrt(833) + sqrt(833) + -1 + 4 + (sqrt(833)*2*2)**2 - (3 + 1 + sqrt(833) + -3)**2) + -5.
12496
Simplify (-5 + 4*(-2 + sqrt(320)))**2 + (3*(sqrt(5) - (sqrt(5) - (sqrt(5) + 0))) - 6*3*sqrt(5)).
-847*sqrt(5) + 5289
Simplify (-5*(sqrt(209) - -2*(sqrt(209) - sqrt(209)*1) - 2*sqrt(209)*4))/(2*sqrt(704) + (sqrt(1100) - (sqrt(1100) + sqrt(1100) + sqrt(1100) + -1*sqrt(1100)))).
35*sqrt(19)/6
Simplify (-2*(sqrt(448) + 3) - (sqrt(448) + -2 + -4))**2 - ((sqrt(21)/sqrt(27))**2 + (1*sqrt(28))/sqrt(4) + ((1 + sqrt(847))*-5)**2).
-154519/9 - 551*sqrt(7)
Simplify (-3*sqrt(1536)*1 - (sqrt(1536) + sqrt(1536) + -1*sqrt(1536)*2 + sqrt(1536) - sqrt(1536)))/((sqrt(96) - (3*2*sqrt(96) - sqrt(96)))/sqrt(12)*-1).
-6*sqrt(3)
Simplify (1*(-4 + sqrt(300)*-2 + (sqrt(300) - (sqrt(300) + -2))*-4 + -6*sqrt(300)*2*4))**2.
12000*sqrt(3) + 750144
Simplify 6*(((5 + sqrt(4800) + 0)**2 - -3*(sqrt(4800) + 0)) + -5)*4.
12480*sqrt(3) + 115680
Simplify (sqrt(2200) + sqrt(2200)*-4*-2)/(sqrt(18) + 2*sqrt(18)*-6).
-30*sqrt(11)/11
Simplify (-4*(sqrt(72)/sqrt(4)*-3 - sqrt(18)))/(sqrt(54)/(-5*sqrt(729))).
-720*sqrt(3)
Simplify 5 + (((4 + -1 + sqrt(171) - sqrt(171))*5 + ((-1 + sqrt(171))*2 - (sqrt(171) + -1 + sqrt(171) + sqrt(171) - sqrt(171))*3))*4)**2 + -2.
-6144*sqrt(19) + 47875
Simplify ((sqrt(396)*-1*6)/(-6*sqrt(36)/sqrt(3)))/(-5*-2*sqrt(704) - -4*(sqrt(704) + (sqrt(704) + sqrt(704)*-2 - sqrt(704)))) + 2.
sqrt(3)/48 + 2
Simplify (((sqrt(1872) + -2*(4*sqrt(1872) + sqrt(1872)) + sqrt(1872))*-2)/(sqrt(80)/(sqrt(10)/(sqrt(16)/sqrt(8)) + sqrt(5))))**2.
119808
Simplify (5 + -2*(-1 + (sqrt(4000) - ((sqrt(4000) - (sqrt(4000) - (sqrt(4000) - sqrt(4000)*2)) - sqrt(4000)) + sqrt(4000)))/(sqrt(72)/(-1*sqrt(9)))))*-5.
-200*sqrt(5) - 35
Simplify (5 + (-6*(sqrt(72)*-1 - sqrt(72))*6 - (3 + 3*(-1 + sqrt(72)))))**2.
4140*sqrt(2) + 342817
Simplify -5 + (-5 + sqrt(396) + 0 + sqrt(396) + 0 + 1 + -1 + -4)**2.
-216*sqrt(11) + 1660
Simplify (-1*sqrt(77)*-2 - sqrt(77))/(sqrt(252)*-2) - (sqrt(132)/(sqrt(108)*-3) + (sqrt(704) + 1 - sqrt(704))**2 + (1 + sqrt(396))**2).
-398 - 431*sqrt(11)/36
Simplify (-4*(5*(-4 + -1*(-1 + sqrt(1620))) + 4)*-3)**2.
285120*sqrt(5) + 5849424
Simplify (-4 + (3 + sqrt(1872)*1 + -4 + 2)*2 + -1 + 0)**2.
-144*sqrt(13) + 7497
Simplify 1 + -6*(-1 + (sqrt(468)*3*-3 - ((1 + sqrt(468) + -1 + sqrt(468))**2 + sqrt(468)))).
360*sqrt(13) + 11239
Simplify (-1*(5*sqrt(20)*6 + sqrt(20)))/(sqrt(324) - -1*sqrt(324) - sqrt(4) - sqrt(12)/sqrt(3)*-1).
-31*sqrt(5)/18
Simplify (-1*sqrt(119)/(-6*sqrt(21)/sqrt(3)) + (-1*(sqrt(34)/sqrt(2) + -5 + -5 + sqrt(17)*-2))**2)*4*2.
484*sqrt(17)/3 + 936
Simplify ((sqrt(720) + 2 + sqrt(720) + -1)*3)**2 - (sqrt(5)*-1 + -5 + sqrt(80)*-1 + sqrt(80)).
433*sqrt(5) + 25934
Simplify ((2 + -2 + (-2*sqrt(75) + 2 - (sqrt(75)*3 + 0 - sqrt(75))) + 5)*5)**2.
-7000*sqrt(3) + 31225
Simplify (-2*sqrt(4131)*-5 - sqrt(4131) - ((sqrt(4131) + sqrt(4131)*-1 + sqrt(4131))*-5 + sqrt(4131)))/(sqrt(3) + sqrt(900)/sqrt(3) - (sqrt(3) + -2*sqrt(192))).
9*sqrt(17)/2
Simplify 3 + 1*(5*6*2*sqrt(85))/(-3*(sqrt(605)*2 + sqrt(605) + sqrt(605))).
-5*sqrt(17)/11 + 3
Simplify (sqrt(1053)*3*-4*3)**2 - (sqrt(637) + 5 + 2 + sqrt(637) + 1)**2.
-224*sqrt(13) + 1362076
Simplify ((4*sqrt(1250) - (sqrt(350) + sqrt(350)*2 + sqrt(350))/sqrt(7))*-4)/(sqrt(1210) + -4*sqrt(1210)*-2 - sqrt(1210)*-1*2).
-64*sqrt(5)/121
Simplify (5 + (-5*(sqrt(825) + sqrt(825)*2 - sqrt(825)) + sqrt(825))/(3*(sqrt(63)/sqrt(7))/sqrt(3))*-5)**2.
750*sqrt(11) + 61900
Simplify (-6*(6*(sqrt(1900) + sqrt(1900)*-2*-6 + (sqrt(1900) + 1 + sqrt(1900) + 1 - sqrt(1900))) + -5))**2.
423360*sqrt(19) + 482632164
Simplify -5 + (((-3 + sqrt(567) - sqrt(567)) + 3)**2 + (-4*sqrt(567)*-2)**2 - (-2 + sqrt(567) + (2*sqrt(567) + -1)**2 + (sqrt(567) - (2*sqrt(567))**2)*2)).
9*sqrt(7) + 38552
Simplify (5 + (-3*3*sqrt(2057) + -2)*5)*-1 + 0.
5 + 495*sqrt(17)
Simplify -6*(sqrt(5)*1)**2*1*6 - ((sqrt(5) - ((sqrt(80) + 4)**2 - sqrt(80))) + (sqrt(5) - (sqrt(180) + 4))).
-80 + 32*sqrt(5)
Simplify ((sqrt(120)/sqrt(3))/sqrt(8) + 4 + sqrt(5) + -2 + 2)**2 + 4 + (sqrt(180) - -6*(sqrt(180) - (sqrt(180) + sqrt(180) + -4))).
-14*sqrt(5) + 64
Simplify ((-4*sqrt(486) - sqrt(486)) + (sqrt(60)*1)/sqrt(10))/(sqrt(108)/sqrt(6) - -2*sqrt(98)).
-44*sqrt(3)/17
Simplify ((sqrt(2744)*-1*5)/(4*(sqrt(64)*2)/sqrt(8))*-6)**2 + -5.
77095/16
Simplify (((2 + (3*1*sqrt(392) - sqrt(392)))*1)**2 + 5)*3.
336*sqrt(2) + 4731
Simplify (-2 + (sqrt(1573) + 0 - sqrt(1573) - sqrt(1573))*-4 + -2)**2 + (-3*sqrt(1300))/(-6*sqrt(16)/sqrt(4)).
-699*sqrt(13)/2 + 25184
Simplify -6*1*(sqrt(2057) - 4*-1*sqrt(2057))**2 - (4 + ((3 + sqrt(2057) + (sqrt(2057) - (sqrt(2057) - sqrt(2057)*2)))**2 - (-1 + sqrt(2057) + -1))).
-327078 - 187*sqrt(17)
Simplify (-2 + ((-4*sqrt(85)*-1 - sqrt(85)) + sqrt(85)*-2*2)/(3*-5*sqrt(720)))**2.
-sqrt(17)/45 + 129617/32400
Simplify 2 + 5 + (-1 + ((sqrt(475)*-2)**2 - sqrt(475)) - (-2 + -2*sqrt(475))**2 - ((sqrt(475) - (sqrt(475) - (2 + sqrt(475)) - sqrt(475)))*-2 + 0)).
-25*sqrt(19) + 6
Simplify ((sqrt(44) + sqrt(44) + -1*sqrt(44)*4)/(2*sqrt(8)))/(sqrt(33)/sqrt(3)*-3 + sqrt(11) - -2*sqrt(704)).
-sqrt(2)/28
Simplify ((sqrt(84) - sqrt(84)*3)*-6*6)/((sqrt(12) - sqrt(60)/(sqrt(5)*5))*-2)*6.
-270*sqrt(7)
Simplify (sqrt(140)/((sqrt(384)/sqrt(8))/sqrt(12))*-2)/(sqrt(700) + sqrt(700)*-1*4 - 2*(sqrt(700) - sqrt(700)*2)).
sqrt(5)/5
Simplify ((5 + sqrt(175)*4)*-4 + -6*(sqrt(700) + 1)**2 + 0)*4.
-16904 - 800*sqrt(7)
Simplify (sqrt(132)/(sqrt(4)*-3) - sqrt(528)*-3)/(5*(6*(sqrt(1331) + 1*sqrt(1331)) - sqrt(1331))).
7*sqrt(3)/363
Simplify -2*1*(1*((sqrt(1872) - 2*(sqrt(1872) + 0)) + 3*(sqrt(1872) + -1 - sqrt(1872)) + -4 + (0 + sqrt(1872))*-4))**2.
-93698 - 1680*sqrt(13)
Simplify ((((sqrt(110)*2)/sqrt(11) - ((-1*sqrt(1000) - sqrt(1000)) + sqrt(1000) + sqrt(1000)))*-1)/(sqrt(80)*3*4*3))**2.
1/2592
Simplify ((6*(sqrt(240) + -2*sqrt(240)))/(sqrt(192) - (sqrt(192)*-2 - sqrt(192))))/(sqrt(196) + sqrt(196)*-2 + (sqrt(484)*-5 - sqrt(484))).
3*sqrt(5)/584
Simplify -4*(-1*2*sqrt(2816) - ((3*sqrt(44)*-1)**2 - ((1 + sqrt(3564) + sqrt(3564))**2 - sqrt(44)))).
-55444 - 152*sqrt(11)
Simplify -4 + ((-5 + 2*sqrt(432) - ((-1*sqrt(432) - sqrt(432) - sqrt(432)) + -2)) + 0)**2 + 2.
-360*sqrt(3) + 10807
Simplify -4*((-2*sqrt(88)/sqrt(72)*-4)**2*-5 + 4 + ((2*sqrt(99) + -1)**2 - sqrt(99))*6).
-71816/9 + 360*sqrt(11)
Simplify (-3 + sqrt(176))*-4 + -5 + -3*(3*(sqrt(11) + -3 + -3))**2.
-1262 + 308*sqrt(11)
Simplify -4 + -6*(((sqrt(220) + sqrt(220) + sqrt(220)*-2)*1)/(sqrt(605) + (1*sqrt(605) - sqrt(605)) + sqrt(5)) + -1 + 0).
2
Simplify ((sqrt(972) - ((1*sqrt(972) - sqrt(972)) + sqrt(972)))*2 - (sqrt(972) + -5*(sqrt(972) + sqrt(972)*2)))/(-2*-5*2*sqrt(600)).
63*sqrt(2)/100
Simplify (((-1 + sqrt(847))*5 - (0 + sqrt(847))*-2 - (-1 + sqrt(847) + -1 + 2))*-3 + -1)**2.
-5544*sqrt(7) + 274624
Simplify -3 + -5 + ((-4*1*sqrt(110))/(-4*1*sqrt(10)) - (-1*sqrt(44) + (sqrt(1584) + -1 + sqrt(1584))**2)).
-6345 + 51*sqrt(11)
Simplify -5*(1*((sqrt(162) + 2)*-2)**2 + (-2*sqrt(784))/(4*sqrt(8)*-1 - sqrt(8))).
-3320 - 734*sqrt(2)
Simplify (-5*(sqrt(850) - 6*-4*sqrt(850)))/((sqrt(60)/sqrt(180))/((sqrt(150) - sqrt(6))*-6)).
90000*sqrt(17)
Simplify -2*(-5*(-3 + (-2 + (sqrt(637)*-1)**2)*-1) + 5).
-6390
Simplify (2 + (sqrt(405) + 3 - (-1 + sqrt(500))) + 4*sqrt(30)/((sqrt(6) + sqrt(18)/sqrt(3))*-2) + 3)**2.
-36*sqrt(5) + 101
Simplify (5*(-1 + sqrt(2299) + 0 + sqrt(2299) - -4*(sqrt(2299) + 0)) + 0 + 0 + sqrt(2299) + 3 + 2)**2.
2209339
Simplify -1 + ((-2 + sqrt(91)/sqrt(7))**2 - (2 + sqrt(13))**2*5 - (-5 + sqrt(1872) + (sqrt(1872) - (sqrt(1872) + 3))**2)*-4).
-53 + 24*sqrt(13)
Simplify (((sqrt(80)*2)/sqrt(2))/(sqrt(144)/sqrt(8)))/(sqrt(80)/(sqrt(8)*-4) + (sqrt(10)*-2 - sqrt(10))*6).
-8*sqrt(2)/219
Simplify ((sqrt(968) - -1*sqrt(968)
|
{
"pile_set_name": "DM Mathematics"
}
|
i for j.
1
Let r be (-4)/5*(-10)/4. Suppose 0 = 3*n + 3, -4*j + 5 = -5*n. Solve l = r - j for l.
2
Let s be (-1*2)/((-5)/30). Solve -s = -3*r - 0*r for r.
4
Suppose 14*g = 9*g. Solve -w + g + 1 = 0 for w.
1
Suppose -2*n + 5*n = 0. Solve n = -2*y + y - 3 for y.
-3
Let j(o) = 2*o**3 - 14*o**2 + 3*o - 1. Let n be j(7). Solve -n = -5*w - 0 for w.
4
Let r = 10 - 8. Solve -r*l - 2 + 0 = 0 for l.
-1
Suppose -5 = -8*l + 3*l. Suppose 3*r = r. Suppose -4*w + 20 = -r*w. Solve -l - w = -3*f for f.
2
Let z = 99 - 99. Solve p - 6*p + 20 = z for p.
4
Let g(u) = -u. Let a be g(1). Let d be -1 + 8 + a + -2. Solve d*z = -z - 25 for z.
-5
Let n = -8 + 15. Solve 0 = -n*d + 3*d - 20 for d.
-5
Let k(v) = v + 6. Let y be k(-6). Solve -o = -y*o - 3 for o.
3
Let b be 89/6 - 3/(-18). Let r = b + -15. Solve 2*s + 4 + 0 = r for s.
-2
Let k be 0 + -2 + 0 + 5. Suppose -2*n = -k*n + 48. Suppose 2*b + b - n = 0. Solve 0 = -3*j + 7*j - b for j.
4
Suppose 0*b = 3*b. Suppose 2*s + s - 2*j - 6 = 0, b = -3*j + 9. Suppose s = 2*o - 2. Solve 3*l - o = -0 for l.
1
Let v(n) be the second derivative of n**5/20 - 5*n**4/12 + n**3 - 5*n**2/2 + n. Suppose -7 = -2*w + 1. Let c be v(w). Solve -g - c*g = 0 for g.
0
Let c = 4 + 4. Suppose -5*j + 5 = 5*y, -3*y - 3*j = -c*y - 3. Suppose -l - l + 6 = 0. Solve 6 + y = -l*n for n.
-2
Let k be 1/(-4) + (-14)/8. Let s be k/9 - 2/(-9). Solve 3*h + 6 + 0 = s for h.
-2
Let n(p) = 9*p**3 - p**2 + 1. Let s be n(-1). Let a = s + 9. Solve a = -3*f - 2*f for f.
0
Suppose l = 4*l - 12. Let n(w) = w**2 - 5*w + 5. Let b be n(l). Let q(x) = 19*x + 1. Let m be q(b). Solve 0 = -6*d + d + m for d.
4
Let w = -3 + 8. Suppose 4*v - 5*t + 12 = 0, -4*v - 1 = -t - w. Suppose -2*j = -0*j - 4. Solve -v*u - j = -6 for u.
2
Let b(a) = -a**3 - 7*a**2 + 6*a - 1. Suppose 12 = 3*w, -4*x + 2*w - 4*w + 104 = 0. Suppose 4*c = c - x. Let s be b(c). Solve -2*y = 3*y + s for y.
-3
Let l be 5/(15/2)*3. Let x(k) be the first derivative of k**4/4 - 2*k**3/3 + 3*k**2/2 + 4. Let c be x(l). Solve -2*j = -c*j - 20 for j.
-5
Let a(u) be the third derivative of -u**5/60 + 7*u**4/24 + 2*u**3/3 - u**2. Let b be a(7). Solve b*p = -0*p - 12 for p.
-3
Let x(j) = 10*j + 5. Let q be x(2). Solve -4*n = n + q for n.
-5
Let c = -47 - 63. Let b = -76 - c. Suppose -4*o + b = 3*z, 4*z = 3*o - 7*o + 32. Solve 4*r = -r - o for r.
-2
Suppose -13 = -5*o + 7. Suppose 0 = 3*v + 1 - o. Solve 11 = -5*s + v for s.
-2
Let h(a) = a. Let v(r) = -r + 1. Let w(t) = -3*h(t) - 6*v(t). Let o be w(4). Suppose 2*u - 18 = -o. Solve -j = -u*j + 20 for j.
4
Let w(o) = o**3 + 4*o**2 + 4*o + 3. Let i be w(-3). Solve i = 5*c - 14 + 39 for c.
-5
Let c(v) = v**3 + 3*v**2 - 3*v + 3. Let k be c(2). Let o = k + -14. Solve -o*p = -1 + 13 for p.
-4
Let n = -14 + 29. Let k = n + -13. Solve k*v + 3 = 13 for v.
5
Let d be ((-1)/(-2))/((-2)/(-76)). Suppose d = 5*k - 6. Suppose 0*v - 25 = -v + 4*q, k*v - q = 30. Solve -p = -v*p for p.
0
Suppose 0 = -5*x - 4*z - 6, x - 10 = 2*z - 0*z. Solve 0 = x*q + q + 9 for q.
-3
Suppose 120 = -55*j + 63*j. Solve -2*a = a - j for a.
5
Let r be 0*(-3)/(1 + -7). Suppose -d - 6*w + w - 25 = 0, r = 3*w + 15. Solve 2*n = -8 - d for n.
-4
Let b(g) = -2*g + 2*g + 2 - g - 5. Let k be b(-7). Suppose 0*x + k*x - 20 = -2*r, -5*x - 4*r = -25. Solve 2*z = x - 15 for z.
-5
Suppose -3*n + 0*n + 18 = 0. Let f(j) = -3*j + 9. Let x(h) = -7*h + 19. Let l(c) = 5*f(c) - 2*x(c). Let q be l(n). Solve 0*b - b + q = 0 for b.
1
Suppose 0 = 2*b - 4*b + 6. Solve -b*h + 1 = -11 for h.
4
Let u be (8/3)/((-14)/(-21)). Suppose 14 = u*w - 2. Solve 6*g = w*g for g.
0
Suppose 5*j - 6*q + 3*q = -3, 0 = -4*j + q - 1. Solve j = k + 4*k for k.
0
Suppose 3*o = -4*y + 9, -4*y + 3 + 0 = o. Suppose 4*a - 16 = n - 47, 5*n - 4*a = 91. Solve 0*f - n = -o*f for f.
5
Suppose 3*a = 10 - 1. Suppose 3*i + a*o = o + 71, 27 = i - o. Suppose 0*t - 5*t = -i. Solve -f = -6*f + t for f.
1
Let c = 2 - -2. Let w(j) = 3*j**2 - 4*j + 3. Suppose y + 0 - 2 = 0. Let v be w(y). Solve -c + v = k for k.
3
Let f = -4 - -4. Solve -3*a + 9 = -f for a.
3
Let y(p) = -p**3 + 6*p**2 - 4*p - 2. Let z be y(5). Suppose -8 = -o - z. Solve -3*f - o = -2 for f.
-1
Let i be 6/4*(-28)/(-3). Suppose 4*t - 8 = a + 9, -4*t + i = -2*a. Solve -2*p - p - a = 0 for p.
-1
Let w be (3/6)/((-4)/(-16)). Solve -w*f - 8 + 0 = 0 for f.
-4
Suppose 4*h - 4*x = 12, -2*h - 2*x - 2*x = 0. Suppose -2*b = -0 + 4, -24 = -4*i + 4*b. Solve 0 = -h*m + 6*m + i for m.
-1
Suppose 2*d + 4*q - 4 = 0, -4*d + 3*q - 5*q = -14. Let w be (-2)/2 + (-2 - -3). Suppose d*k = -w*k. Solve -2*u - 2*u + 16 = k for u.
4
Let j(r) be the second derivative of r**5/20 + r**4/4 - r**3/2 + 2*r**2 - 3*r. Let k be j(-4). Solve k = 3*z - 2 - 7 for z.
3
Let j(c) = 2*c**3 - 2*c**2 + 3*c - 2. Suppose 0 = 7*m - 2*m - 10. Let s be j(m). Solve b = 5*b - s for b.
3
Suppose 4*w + 85 - 29 = 2*v, 0 = v - 4*w - 36. Solve 2*c = -2*c + v for c.
5
Let x = 36 - 15. Solve 0 = 5*b + x - 6 for b.
-3
Suppose 6*o - 9 = 3*o. Solve -n = -o*n - 8 for n.
-4
Let d = -17 + 8. Let b be (-2)/8 - d/4. Suppose 5*i - b*v - 11 = 0, -3*i + 2*i - 3 = -3*v. Solve -i*h = -0*h - 9 for h.
3
Let i = -182 + 185. Solve 20 = -i*n - 2*n for n.
-4
Suppose 0 = -0*c - 2*c + 8. Solve -14 = c*p - 2 for p.
-3
Suppose 4*c - 2*s = 16, 0 = 3*c - s + 6*s - 25. Suppose -27 - 28 = -c*l. Solve 4*o + 3 - l = 0 for o.
2
Let j(f) = f**3 - 9*f**2 + 5*f - 5. Let m be j(9). Suppose -u + 0*u + m = 0. Suppose 0 = -x - 3*x + u. Solve 0 = -4*r - r + x for r.
2
Let p be (-16)/(-28)*(3 - -4). Solve -p*f = f + 5 for f.
-1
Suppose 3*d + 2*x = x + 11, -5*d + 2*x = -22. Let w = -2 - -4. Let g = w + 1. Solve 16 = -g*z + d for z.
-4
Let a(b) = b**3 + 9*b**2 + 6*b - 11. Let x(s) = -s**3 - 9*s**2 - 6*s + 11. Let q(j) = 3*a(j) + 2*x(j). Let u be q(-8). Solve -u*z = -z for z.
0
Let u = 2 - -7. Suppose k + u - 11 = 0. Solve 4 = q - k*q for q.
-4
Let a = 6 - 3. Solve -1 = -2*h + a for h.
2
Let a = 1 - -2. Suppose j + 2 = 0, -3*c + a*j = -j - 17. Solve -2 = -5*i + c for i.
1
Suppose 2*c = -c + 9. Let b be ((-1)/(-3))/(1/c). Solve -l + 6 = b for l.
5
Let s(x) = x**2 - 7*x + 7. Let a be s(5). Let y be (-10)/a + 4/6. Suppose 0*u + 8 = 5*u + 2*g, -15 = -5*u + 5*g. Solve y = -3*p - u for p.
-2
Suppose -7*s = -4*s - 18. Let x be 12/(-8)*(-8)/s. Solve -x*a + 4*a = -2 for a.
-1
Suppose -2*n + 25 = 17. Solve -h = -0*h + n for h.
-4
Let j be (1 + -1)/(1 + 1). Let d = j + 4. Solve 1 - d = -v for v.
3
Let t = 4 - 1. Suppose -26 - 10 = -4*g. Solve 6*j - g = t*j for j.
3
Suppose 0*j = -2*j - 5*k + 56, -3*j + 70 = 4*k. Solve 0 = 5*p - 2 - j for p.
4
Let o = 9 + -9. Suppose o = 6*l - l - 15. Solve 1 = -z - l for z.
-4
Let v = -8 - -8. Suppose v*w - 9 = -w. Solve 0 = -k - 2*k + w for k.
3
Suppose -2*d = -d - 3. Suppose 6 = d*u - u. Solve 2*j = -u*j for j.
0
Suppose -n = 5*l - 16, 0 = 2*l - 2*n + 3*n - 7. Solve l = -2*q - 1 for q.
-2
Let y(p) = p**3 + 5*p**2 + p + 5. Let c be y(-5). Suppose -5*f + 15 = -0*f. Let u be c/(f - 8 - -3). Solve 0 = 3*g - u + 3 for g.
-1
Suppose 2*l = -c + 5, -l + 4*l = 0. Suppose 4 = v - 0. Solve -v*g = -c*g for g.
0
Suppose 2*j = -15 + 3. Let d = j - -6. Solve -3 = q - d for q.
-3
Let p(j) be the third derivative of j**6/120 + 3*j**5/20 + 3*j**4/8 + 5*j**3/3 - 2*j**2. Let k be p(-8). Solve -k*y - y = 15 for y.
-5
Suppose -4 + 1 = -3*h. Let o be (-3 - 1)/(-2) - h. Let w be 0 + -2 + 4 - o. Solve w = p + 6 for p.
-5
Let p(j) = 4*j + 1. Let u be p(1). Suppose -u*v + 2*y - 8 = 0, -2*v - y + 6 = 2. Solve v = -4*h + 12 + 8 for h.
5
Let r = -150 + 151. Solve -f - r = 3 for f.
-4
Let h(b) be the first derivative of 1/2*b**2 - 4*b + 2. Let k be h(4). Solve 2*p - 5*p + 6 = k for p.
2
Suppose 21*g - 45 = 12*g. Solve g*t + 2 = -3 for t.
-1
Let l(z) = z + 1. Let y be l(0). Let w(c) = c**2 + 10*c - 24. Let o be w(-12). Solve o = v - 0 + y for v.
-1
Let m(w) = -w**3 + 4*w**2 + 13*w - 6. Let x be m(6). Solve -f = -x*f - 2 for f.
2
Suppose -2 = -2*a + 4. Solve 0*m = -a*m + 6 for m.
2
Let q(i) = 4*i. Let v be q(7). Suppose 2*p + 2*p = 4*h + v, 2*p + 5*h = -7. Suppose b = -p*k + 11, -k + 5 - 1 = -b. Solve 0*a + 12 = k*a for a.
4
Let q be 116/14 - (-2)/(-7). Let g = q + -4. Solve 2*p - 3*p = g for p.
-4
Let g be -2 + 1 + 0 + 5. Let p = 6 - g. Suppose 3*i = p*i. Solve i = 3*b + b + 8 for b.
-2
Suppose 0 = -3*u - 0*u + 15.
|
{
"pile_set_name": "DM Mathematics"
}
|
and 1 k?
2/91
Two letters picked without replacement from fuurm. Give prob of picking 1 r and 1 f.
1/10
Four letters picked without replacement from {c: 11, p: 3, o: 4}. Give prob of picking 1 p, 1 c, and 2 o.
11/170
Three letters picked without replacement from skmmsmsctmss. What is prob of picking 1 k and 2 s?
1/22
Two letters picked without replacement from {l: 11, s: 2}. What is prob of picking 2 s?
1/78
Three letters picked without replacement from sssnsssssvssy. What is prob of picking 1 y, 1 v, and 1 n?
1/286
Two letters picked without replacement from qikknnnqqknsqqqqq. What is prob of picking 2 n?
3/68
Two letters picked without replacement from iucugggidggdug. What is prob of picking 1 d and 1 i?
4/91
Three letters picked without replacement from jjjnjjjjnjjwwjnn. Give prob of picking 1 n, 1 j, and 1 w.
1/7
What is prob of picking 2 h when two letters picked without replacement from {h: 5, u: 3, y: 1}?
5/18
Two letters picked without replacement from awwawwjanwznwwuw. What is prob of picking 1 u and 1 a?
1/40
Four letters picked without replacement from {h: 2, j: 6}. Give prob of picking 3 j and 1 h.
4/7
Two letters picked without replacement from {w: 4, d: 6, k: 3, j: 1}. What is prob of picking 2 k?
3/91
What is prob of picking 1 r and 2 l when three letters picked without replacement from {l: 6, r: 4}?
1/2
What is prob of picking 2 u and 1 d when three letters picked without replacement from {d: 2, u: 5, s: 4, g: 1, i: 2}?
5/91
What is prob of picking 1 r and 1 u when two letters picked without replacement from {u: 6, l: 1, r: 3, h: 3, t: 3, x: 1}?
9/68
Four letters picked without replacement from lxyvvyyylplavva. Give prob of picking 3 y and 1 a.
8/1365
Calculate prob of picking 2 z, 1 k, and 1 w when four letters picked without replacement from {w: 1, k: 2, z: 1}.
0
Two letters picked without replacement from lolonllnn. Give prob of picking 1 o and 1 l.
2/9
What is prob of picking 2 k and 1 l when three letters picked without replacement from kkkjjjlj?
3/56
Two letters picked without replacement from lllllxlllllllllxll. What is prob of picking 2 l?
40/51
What is prob of picking 2 j when two letters picked without replacement from jjpbnbbbjb?
1/15
Calculate prob of picking 1 v and 2 g when three letters picked without replacement from gggglvggggwlw.
14/143
Three letters picked without replacement from jjjaa. What is prob of picking 3 j?
1/10
What is prob of picking 3 w when three letters picked without replacement from ggwgggggggww?
1/220
What is prob of picking 1 b and 1 r when two letters picked without replacement from rnzburznzz?
2/45
Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zpvlu.
1/10
Four letters picked without replacement from oooccolooqoconooqoom. What is prob of picking 1 l, 2 c, and 1 m?
1/1615
Four letters picked without replacement from hhhhheheehhheheehede. Give prob of picking 3 h and 1 d.
11/323
Three letters picked without replacement from {v: 2, k: 3, p: 1, y: 4}. Give prob of picking 1 p and 2 k.
1/40
Calculate prob of picking 2 h when two letters picked without replacement from hhhhhhleeheheh.
36/91
What is prob of picking 1 q and 1 n when two letters picked without replacement from {x: 2, q: 1, f: 5, n: 1}?
1/36
Two letters picked without replacement from cxctiutxcctcctxictt. Give prob of picking 1 u and 1 i.
2/171
Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {q: 1, y: 3, t: 5, w: 4, g: 1}.
20/91
Three letters picked without replacement from bdbbbccc. What is prob of picking 1 b, 1 d, and 1 c?
3/14
Two letters picked without replacement from alarraulrrrrrrlary. Give prob of picking 1 a and 1 y.
4/153
Three letters picked without replacement from qttttqqtqttttttttt. Give prob of picking 1 q and 2 t.
91/204
Calculate prob of picking 1 u and 2 n when three letters picked without replacement from {b: 1, j: 1, n: 3, g: 1, u: 1}.
3/35
What is prob of picking 2 f when two letters picked without replacement from ffdfdfdffddfffdddft?
5/19
Three letters picked without replacement from {g: 3, p: 1, j: 5, b: 1, q: 1}. What is prob of picking 3 j?
2/33
Two letters picked without replacement from {f: 2, n: 1}. Give prob of picking 2 f.
1/3
What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 2, p: 1, e: 1, l: 2, v: 2}?
1/14
Four letters picked without replacement from {y: 1, f: 1, p: 2, a: 1, n: 1, w: 1}. Give prob of picking 1 w, 1 n, 1 y, and 1 a.
1/35
Three letters picked without replacement from stttootttt. What is prob of picking 2 o and 1 s?
1/120
Four letters picked without replacement from {p: 1, h: 1, c: 2, o: 1, s: 1, r: 2}. What is prob of picking 1 r, 1 o, 1 p, and 1 h?
1/35
What is prob of picking 3 g and 1 p when four letters picked without replacement from gpppgppgpppp?
1/55
Four letters picked without replacement from kdrdgggkkugvvugr. Give prob of picking 2 v, 1 u, and 1 g.
1/182
Calculate prob of picking 3 r and 1 k when four letters picked without replacement from {k: 3, r: 12}.
44/91
Three letters picked without replacement from ccqaqcqqqcqqc. Give prob of picking 1 a and 2 c.
5/143
Four letters picked without replacement from {u: 7, t: 2, k: 5}. Give prob of picking 1 t, 1 u, and 2 k.
20/143
Three letters picked without replacement from rrr. What is prob of picking 3 r?
1
Four letters picked without replacement from {f: 4, m: 2, n: 5}. What is prob of picking 1 m and 3 f?
4/165
What is prob of picking 2 i and 1 v when three letters picked without replacement from vbvvvvvivbvivv?
5/182
Calculate prob of picking 1 y and 1 f when two letters picked without replacement from fyyyyfyfiyyffffiyf.
64/153
What is prob of picking 1 f and 1 j when two letters picked without replacement from {s: 4, j: 2, n: 2, f: 3, t: 2}?
1/13
Calculate prob of picking 3 e when three letters picked without replacement from eebea.
1/10
What is prob of picking 2 w when two letters picked without replacement from {w: 1, f: 2, s: 1}?
0
What is prob of picking 1 l and 2 v when three letters picked without replacement from vrlvrglllllvv?
18/143
What is prob of picking 1 h and 1 x when two letters picked without replacement from hax?
1/3
What is prob of picking 2 z when two letters picked without replacement from hzfzfxhxhxffjzzzxxh?
10/171
Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {l: 3, q: 4, v: 1}.
9/28
Two letters picked without replacement from {t: 1, x: 7, c: 2, y: 4, f: 2}. Give prob of picking 1 x and 1 t.
7/120
Two letters picked without replacement from {e: 2, u: 7, w: 5}. What is prob of picking 1 w and 1 e?
10/91
Calculate prob of picking 1 z and 2 s when three letters picked without replacement from {z: 2, s: 2, b: 9}.
1/143
Two letters picked without replacement from ojojejj. Give prob of picking 2 o.
1/21
Four letters picked without replacement from {r: 1, i: 3, p: 11, w: 4}. Give prob of picking 2 i, 1 p, and 1 r.
11/1292
Three letters picked without replacement from {w: 5}. What is prob of picking 3 w?
1
Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {w: 2, m: 1, k: 1}.
1/4
Four letters picked without replacement from {h: 3, m: 6, u: 6}. Give prob of picking 1 h and 3 u.
4/91
Two letters picked without replacement from dsdrbsbrdddrd. What is prob of picking 1 s and 1 d?
2/13
Four letters picked without replacement from jmeltleltllzlljlell. What is prob of picking 1 z, 2 j, and 1 m?
1/3876
Calculate prob of picking 3 n when three letters picked without replacement from {q: 1, n: 9, x: 2, i: 4}.
3/20
Calculate prob of picking 4 x when four letters picked without replacement from qxxxqqqxqx.
1/42
Three letters picked without replacement from qqyhbyvv. What is prob of picking 1 v, 1 b, and 1 q?
1/14
What is prob of picking 1 w and 1 j when two letters picked without replacement from {w: 1, j: 1, h: 1, s: 1, o: 1}?
1/10
Two letters picked without replacement from shvfssfhshfssh. What is prob of picking 1 s and 1 f?
18/91
Four letters picked without replacement from {y: 5, w: 8, p: 3}. What is prob of picking 2 w and 2 p?
3/65
Four letters picked without replacement from rolealaew. What is prob of picking 1 o,
|
{
"pile_set_name": "DM Mathematics"
}
|
117*b - 75 = 10*u, 2*b - 18 = 2*u for u.
-6
Solve -153*x + 20 = -5*c - 158*x, -10 = 3*c + 4*x for c.
-6
Solve -5*y = 5*j - 30, -4*y = 8*j - 72 + 8 for j.
10
Solve -r + 2 = 0, 11*m + 6 = 13*m - r for m.
4
Solve 6*c = y + 12, 0 = 13389*y - 13387*y + 2*c - 4 for y.
0
Solve 0 = -4*m - d + 14 - 20, 4*d + 10 = -2*m for m.
-1
Solve 0 = 4*k + u - 13, 4*k + 27902 = u + 27881 for k.
-1
Solve 3*i = -4*l + 15*l - 7*l + 15, -l = 3 for i.
1
Solve -r - 4*b = 1147 - 1186, -2*r + 48 = 2*b for r.
19
Solve -74*u = -78*u + 4*i + 24, -u - 3*i = 14 for u.
1
Solve 12977*o - 12974*o - 2*z + 2 = 0, 5*o + 3*z - 3 = 0 for o.
0
Solve 0 = 4*b - 4*z - z - 33 - 5, z = -b + 5 for b.
7
Solve -b - 12*p + 9*p + 30 = 0, 3*b + 15*p = 114 for b.
18
Solve 5*h + 2*l - 45 = 0, -195*h - 27 = -198*h - 5*l for h.
9
Solve -2*h - 5 = -4*g + 3, -5*h - g = -13 for h.
2
Solve -5*y = -2*n - 11, 2*n + 35 - 25 = 4*y for y.
1
Solve 0 = 3*r + 9, -693 = v + 3*r - 697 for v.
13
Solve 3*s - 29 = 10*l + 27, s - 2*l + 6*l = -18 for s.
2
Solve 4*n = -4*b - 20, 0 = -5*b + 2*n - 0*n - 4 for b.
-2
Solve a - 3*l = -14 - 27, -104 = -11*a - 4*l for a.
4
Solve -2*p = u - 9, -20*p - 2*u - 12 = -26*p for p.
3
Solve 2*z - 5 = -5*c, -c = 4*z - 187 + 204 for c.
3
Solve -4383 + 4388 = -q - 2*y, 4*q + 2*y = 10 for q.
5
Solve 50 = -26*c + 31*c + 5*r, c - 19 = -4*r for c.
7
Solve -z = d + 201 - 203, 0 = -4*z - 3*d + 3 for z.
-3
Solve 4*w = -4*y - 12, 97*w - 98*w - 13 = -4*y for w.
-5
Solve 462*a - 5 = 457*a + 2*i, a = 2*i + 1 for a.
1
Solve -15*s - 5*f + 17 = -18*s, 0 = -5*f + 5 for s.
-4
Solve 3*g = h - 1, g + 47*h = 43*h - 9 for g.
-1
Solve 15 = -3*t - 5*z, 19*t - z - 3 = 21*t for t.
0
Solve -143*f = -148*f - v - 18, 0 = 5*f - 4*v + 3 for f.
-3
Solve -3*g = -6, 3178*p - 3*g + 4 = 3179*p for p.
-2
Solve -108*c + 106*c + 0 = -5*x - 20, -39 = 4*x + 3*c for x.
-6
Solve -5*p + i + 1 = 0, -8*p - 65 = -3*p + 5*i for p.
-2
Solve 119 = -y - 4*q + 11, 2*q + 54 = -4*y for y.
0
Solve 93*k - 88*k - 17 = -m, -4*k = -5*m - 60 for m.
-8
Solve 8*u = 4*o - 28, -u = 5*o - 0 - 24 for o.
5
Solve 4*x - 202 = 3*j - 188, -4*j + 2 = 5*x for x.
2
Solve 4*l + 3*m + 4 = 0, -5*l - 112*m = -107*m for l.
-4
Solve 3*u - 24 = 3*n, 23*u + 2 = 22*u for n.
-10
Solve -19 - 4 = -o - w, o = -3*w + 25 for o.
22
Solve h - 14 = -2*l, 36*l - 33*l = -2*h + 31 for l.
-3
Solve 5*g = 22*w + 85, -162*w + 166*w = -4*g - 40 for g.
-5
Solve -2 = -3*s + 8810*c - 8811*c, -5*s + 4*c - 8 = 0 for s.
0
Solve -2*t - 36 + 14 = b, 2*b - 17 = 4*t + 19 for b.
-2
Solve 3*w = h, 17831*h - w = 17823*h for h.
0
Solve 3*r = -1269*u + 1268*u - 4, 0 = 3*u - 2*r + 12 for u.
-4
Solve -553 + 563 = 5*y - 11*q, -2*y + 4 = 5*q for y.
2
Solve 2*u + 2 = -3*r, -2*r - 12 + 2 = -3*u for r.
-2
Solve -5*z - 3*u - 40 = 0, 78*u - 77*u - 10 = 3*z for z.
-5
Solve 167*n = 173*n - 4*m + 16, n = 4*m - 16 for n.
0
Solve -p + 1 = -2*f + 6, 0 = -p + 15*p - 2*f - 8 for p.
1
Solve -56*g + 57*g = -4*a + 18 - 1, -a + 3 = 0 for g.
5
Solve 0 = 4*a + i - 15, 5*a + 15913*i = 15915*i + 9 for a.
3
Solve 4*r - 509*o = -506*o + 6, 20*r - 68 = -4*o for r.
3
Solve 13*z = 10*h - 0*h + 76, -15 = -4*z - 3*h - 22 for z.
2
Solve -3*x - 5*c + 52 = 0, 99*c - 105*c = -2*x - 12 for x.
9
Solve 2*l - 4*r = l - 7, 2*l + 12*r + 14 = 0 for l.
-7
Solve b + 8*m = 42, -1668*b = -1673*b - 3*m + 25 for b.
2
Solve 21*y - 25*y + 3*v + 7 = 0, 5*y + 5*v = 35 for y.
4
Solve 1708*j - 1709*j = -5*c - 9, -2*c + 4*j = 0 for c.
-2
Solve -5*h - 13*f = -194, -33 = -4*h + 67*f - 68*f for h.
5
Solve -i + 4*y = 219 - 231, -20 = 4*y for i.
-8
Solve 2*m = 3*h + 1, 4*h + 8 = -1878*m + 1879*m for m.
-4
Solve -2*l + 2*z + 2100 = 2126, 11*z = 4*l + 31 for l.
-16
Solve -2*p - v = -20, 3*v - 459 = 3*p - 399 for p.
0
Solve -4*a = 2*s - 65 + 23, 50 = 5*a + 5*s for a.
11
Solve 5*m - 20*k + 2 = -18*k, -6*k = 3*m - 78 for m.
4
Solve -2*d - 340 = 3*k - 338, 5*d + 3*k + 14 = 0 for d.
-4
Solve 3*l + 29*k + 8 = 24*k - 1, 0 = -k + 5*k for l.
-3
Solve 60 = -16*p + 4*l, 3*l - 638 = 4*p - 585 for p.
1
Solve 5 = -5*h + j, 952*j = 2*h + 954*j + 2 for h.
-1
Solve -u - 4*y + 1 = 0, -153*u - y - 26 = -158*u for u.
5
Solve -r + 9*x + 61 = 97, 20 = 5*x for r.
0
Solve 2*q + 30 = 5*c, -q + 3530 = -5*c + 3565 for c.
8
Solve -l = -13*i + 15*i - 9, -5*l = -75 for i.
-3
Solve -o + 4*h = 8, 0 = -7*o - 44*h + 46*h - 4 for o.
0
Solve -3*s + 2*j - 27 = -21, -5*s - 5*j = 10 for s.
-2
Solve -68*l + 64*l - 5*r = -10, 13*l + 8 = 4*r for l.
0
Solve 4*q = -2*w, 0 = -q + 29 - 31 for w.
4
Solve -74*f - 83*p = -70*f - 34*p + 229, 0 = 5*p + 25 for f.
4
Solve -42*h = -44*h + 5*w + 39, -6 = -h + w for h.
-3
Solve -52*h - t + 7 = -55*h, 0 = h - 13*t - 61 for h.
-4
Solve -5*q - 5*i = -5, 48*i + 52 = -52*q + 54*q for q.
2
Solve 7 + 7 = -2*g + 5*l, -8*g - 8 = 4*l for g.
-2
Solve 2665*x + 3*u - 19 = 2663*x, -5*x + 3*u = -16 for x.
5
Solve -70*g + 72*g - 4*t = 3*t + 37, -3*g = -2*t - 13 for g.
1
Solve 0 = 5*o + 10, 15 = -m + o - 4*o + 4*o for m.
-17
Solve l - 6 = 0, -l = 3*b + 10443 - 10446 for b.
-1
Solve 19 = -x + 6*f + 30, 4*x + 5*f = 73 for x.
17
Solve -y - 3*c + 6 = 0, 1743*y + c - 18 = 1740*y for y.
6
Solve -98*r + w = -96*r - 14, r - 7 = 5*w for r.
7
Solve 5*r - 5 = 5*b, -64 = 5*b + 7*r - 71 for b.
0
Solve 15 = -5*c - j, -1426*c + 3*j = -1427*c - 17 for c.
-2
Solve -5*i - 4*r = 21, 1731*r - 28 = 5*i + 1728*r for i.
-5
Solve 133*d + 40 = -5*b + 138*d, -5*b = 5*d - 10 for b.
-3
Solve -61*o + 61*o + 12 = 3*f, 0 = -8*o + 5*f + 20 for o.
5
Solve 5*s = 5*d + 25, 5*s + 41*d = 38*d + 33 for s.
6
Solve d - 4*v - 17 = 0, -61*v - 2 = -d - 62*v for d.
5
Solve 2*v - 5*u + 25 = 0, 2*v = 5*v - 3*u + 15 for v.
0
Solve -32 = -m + 5*u, 9*m - 2*u + 35 - 65 = 0 for m.
2
Solve -4*s - 6*n + 29 = -9*n, 0 = -2*s + 5*n + 25 for s.
5
Solve -6 = -5*b + 4*s, 31*b - 2*s = 30*b for b.
2
Solve -40 = -3*s - 0*s - 5*g, 5*s - 50 = -5*g for s.
5
Solve -s = y + 4, 31 = -3*y + 2*s + 9 for y.
-6
Solve -28*r = 13*t - 26*r + 48, 24 = -5*t + 2*r for t.
-4
Solve -4*a = 8, 3*c - 14 = -25*a + 20*a for c.
8
Solve 0 = -5*g + 6*n - 1 + 5, -1 = -n for g.
2
Solve 39*d - 38*d + t - 9 = 0, -4*t = 14*d - 126 for d.
9
Solve 0 = 4*w - 3*t + 23, 0 = -7*w - 4*t - 17 - 14 for w.
-5
Solve -7807*z = -7805*z + 2*p + 8, 12 = -3*z + 2*p for z.
-4
Solve -f - 32 + 15 + 19 = 0, -24 = -2*b - 2*f for b.
10
Solve -61*s + 59*s + x = 5, -34*x + 26 = 4*s for s.
-2
Solve 0 = -n + 404*a - 408*a + 44, a = 2*n + 2 for n.
4
Solve -4*s - 12 = -20*q, -193*s + 192*s - 3 = -2*q for q.
0
Solve -22*n + 9*n = 2*v + 50, -3*v = -n - 7 for n.
-4
Solve -5*g = -21*u - 34, -5*u + 4*g = -10*u - 60 for u.
-4
Solve -25*q - 33*d = -32*d - 24, 5*d = 14*q - 9*q - 10 for q.
1
Solve -2*q - 2 = 0, -13079*q + 13077*q = g + 4 for g.
-2
Solve -5*u + 6*t - 36 = 5*t, 4*u - 659*t + 657*t + 24 = 0 for u.
-8
Solve -4*t + 580*w = 583*w + 1, -t + 4*w = -14 for t.
2
Solve -3*i - 27 = -3*w, 229*w = -2*i + 233*w - 10 for i.
-13
Solve 4*g - 47 = -59*b + 8*b, 2*b - 6 = 4*g for b.
1
Solve 3*t + 3*o = 13 + 35, 4*o + 71 = 5*t for t.
15
Solve -12*j + 16*j = 8, 5*j - 13 = w for w.
-3
Solve -5*y - 67268 = -2*i - 67282, 5*i - 4*y = -1 for i.
3
Solve 540*g + 25 = 545*g, 0 = 3*k - 3*g + 24 for k.
-3
Solve v - 6*g - 105 = -94, -4*v = g + 6 for v.
-1
Solve 2*z + 12*h + 95 = -27, 40 = -4*h for z.
-1
Solve 0 = -5*l + 3*o - 414 + 413, -2*o - 4 = -l for l.
-2
Solve -473 + 450 = 3*c - 2*m, -c - 2*m + 5 = -2*c for c.
-9
Solve 10 = -5*m + v, 2*m + 3*v + 4 + 0 = 0 for m.
-2
Solve -3*h = -2*y + 52, -89 = 82*h - 77*h - y for h.
-18
Solve -37*b - 2*x = -138, 693*x + 38 - 2 = 4*b + 689*x for b.
4
Solve -2*q + 125*y = 113*y + 30, -2*y = -24*q - 76 for q.
-3
Solve -3*o + 660*r - 656*r + 7 = 0, 4*o - 3*r - 14 = 0 for o.
5
Solve -2*n - 3*r - 7 = 0, -3*r - 1323 = -n - 1331 for n.
-5
Solve 7*m = -c - 92 + 74, -3*m = 5*c + 26 for m.
-2
Solve 0 = -44751*t + 44755*t, 4*t = i - 5 for i.
5
Solve 2*h + 47 = -3*t, -3*h + 23565 - 23538 = -3*t for h.
-4
Solve 0 = 5*b + d + 3, 2*b + 4*d = -b - 12 for b.
0
Solve -10 = 2*w + 2*z, -9*w = -10*w + 5*z - 5 for w.
-5
Solve 2*c - 3*r + 85 = 102, c - 7 = r for c.
4
Solve -2*g + l = -6, -20 = -149*g + 145*g + 4*l for g.
1
Solve -u + 3*b - 6 = 0, b + 1009 = -2*u + 1011 for u.
0
Solve -11*f + 14*f = -8*g - 33, 3*f = 4*g + 3 for g.
-3
Solve -r - 13 = 5*p, -16 = 6266*p - 6262*p for r.
7
Solve -5*m - 5 = 0, 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*f + 5 + 3. Suppose l*m - 3*m - 3 = 0. Suppose 4*t - 9*t = 15. Sort t, 4, m in decreasing order.
4, m, t
Suppose 5*i = 25, 7*i - 3*i = u + 21. Put -3, u, 30, 1 in ascending order.
-3, u, 1, 30
Suppose -a = a - 4. Suppose -16*m = -148 + 68. Put 1, a, m in increasing order.
1, a, m
Let h = -8.81 + 3.81. Sort -0.4, 0.1, h, 0 in ascending order.
h, -0.4, 0, 0.1
Suppose -6 = 2*a + 27*y - 26*y, -y - 2 = -2*a. Let w(b) = 3*b - 3. Let u be w(3). Put u, a, -9 in descending order.
u, a, -9
Let p be (-17)/((-340)/(-150)) + 6. Put p, -4, 1/7, 2/21 in descending order.
1/7, 2/21, p, -4
Let q(k) = k - 1. Let o be q(1). Let f = -1707 - -1700. Sort f, o, 2.
f, o, 2
Suppose 13 = o + 3. Let s be (-4)/o*((-45)/6 - -5). Sort -5, 3, s, 4 in descending order.
4, 3, s, -5
Let d = 0.878 - 0.378. Let g = 0.4 + -0.2. Put d, -3/2, g in descending order.
d, g, -3/2
Let b = 1.1 + -23.1. Let n = -22.4 - b. Put 4, n, -0.3 in increasing order.
n, -0.3, 4
Suppose 2*j - 29 = -4*c + 7*c, -4 = c + 5*j. Put -1, 4, c, -0.5 in ascending order.
c, -1, -0.5, 4
Let y = -6.96 + -0.04. Let w = 313/428 + 2/107. Let u = 209.7 - 207.7. Put y, w, u in descending order.
u, w, y
Let m = -27 + 15. Let o = -14 - m. Let w = -2 - o. Sort -2, -1, w in ascending order.
-2, -1, w
Let a = -37 + 40. Let w be 8/a*15/50. Put 5, 0, w in decreasing order.
5, w, 0
Suppose 0 = -6*z - 228 - 126. Let p = z - -63. Sort 2/11, -2/29, p in decreasing order.
p, 2/11, -2/29
Suppose 2*h = 112 - 68. Put -2/5, -1/5, 1, h in descending order.
h, 1, -1/5, -2/5
Let o be 30/16 - 25/((-100)/(-8)). Put 0.634, -4/9, o in increasing order.
-4/9, o, 0.634
Let h = 115 + -113. Put -2, -7, h in descending order.
h, -2, -7
Suppose 3*p = 6*p + 6, 0 = -a - 2*p + 2. Sort -5, a, 4 in decreasing order.
a, 4, -5
Suppose 856*j - 40 = 846*j. Let v = -4 - -1. Sort j, v, -4 in descending order.
j, v, -4
Suppose 0 = 5*o - 25. Let p(i) = -5 + 11 - 2*i + i. Let r be p(6). Put r, -3, o in descending order.
o, r, -3
Let b = -675 - -677. Sort 13, -2, b, 0 in decreasing order.
13, b, 0, -2
Let c(i) = i**3 + 14*i**2 + 12*i - 11. Let z be c(-13). Let s be -1 + -2 + z - -9. Let j be (-8)/30*12/s. Put -5, j, -3 in decreasing order.
j, -3, -5
Let o be (3 - -3)*(5 - (-16)/(-6)). Let f be (-39)/(-12) + 2/(-8). Let a = f - 1. Put o, -1, a in ascending order.
-1, a, o
Let c = 104 - 203. Sort -5, c, 4 in ascending order.
c, -5, 4
Let b = 0.5406 + -0.0406. Let o = -0.32 - -0.02. Let q = o + 0.2. Sort b, q, -3 in decreasing order.
b, q, -3
Suppose 0 = 14*o - 50 - 20. Put -27, 2, o in decreasing order.
o, 2, -27
Let k = -0.91 + 0.882. Let l = k + 0.428. Put 5, -5, l, -4 in descending order.
5, l, -4, -5
Let n = -420.1 + 420. Sort -3, n, -0.7, -1/4 in decreasing order.
n, -1/4, -0.7, -3
Let f(u) = -160*u - 804. Let a be f(-5). Put 5, 34, a in descending order.
34, 5, a
Let r = 0.187 + 2.813. Let c = 23 + -22.5. Sort r, -1/15, c.
-1/15, c, r
Let x be -36*(-2 - (-10)/6). Let u be 5*-3*4/x. Sort -2, u, -10 in ascending order.
-10, u, -2
Let d(x) = -x - 24. Let f be d(-14). Let v = f - -5. Let g = -8 + 7. Put g, 3, v in decreasing order.
3, g, v
Suppose -5*y - g = -0*y + 29, 4*y = 4*g - 4. Put -4, y, 54 in descending order.
54, -4, y
Let y = 393 - 393.06. Sort y, 1/22, 0 in increasing order.
y, 0, 1/22
Let g = 35 - 22. Let m(w) = 11*w**2 + 278*w + 70. Let b be m(-25). Put g, -2/7, b in descending order.
g, -2/7, b
Let k = -0.205 - -0.005. Sort k, -6, 1, 3 in decreasing order.
3, 1, k, -6
Suppose 10 = 14*y - 60. Let g(u) = -u - 1. Let v be g(2). Put -34, y, 0.2, v in increasing order.
-34, v, 0.2, y
Let p(c) = -9*c - 2*c - c**2 + c - 3 - 3. Let s be p(-5). Suppose -w - 14 = 3*v, -3*v = w - 5*w + s. Sort 7, 4, w in ascending order.
w, 4, 7
Let j be (90/(-21))/(2/(-28)). Suppose 0*n + 3*n = -j. Let i = 23 + n. Sort -2/7, 0.3, i in ascending order.
-2/7, 0.3, i
Let a = 0.022 + 0.038. Let v = -15 - -7.5. Let i = 7 + v. Sort i, a, -3 in increasing order.
-3, i, a
Suppose 5*l = -3*p + 66, 5*p + 3*l = 90 + 4. Suppose -4*u - 9 = -p. Sort 1, u, 3 in descending order.
3, u, 1
Let g = 10 - -2. Let y be (g/(-20))/(2/10). Sort -4, -2, -5, y in descending order.
-2, y, -4, -5
Let i = 32 + -29. Put 4/3, -1, 2/7, i in decreasing order.
i, 4/3, 2/7, -1
Let x be 1 - (-5)/(-6) - 0. Suppose 3*z - 7*z + 48 = 2*k, -4*z - 48 = -4*k. Let a be (-1)/(-1)*k/(-32). Put x, a, -2 in increasing order.
-2, a, x
Let d be (-69)/(-21) - (0 + (-4)/(-14)). Let h be -2*5 + 2 - -3. Let b = 10 + -8. Sort h, d, b.
h, b, d
Let c = -12.92 + 13. Let r = 48 + -334/7. Sort -2, r, c in ascending order.
-2, c, r
Let i be 4/22 - 46/11. Let k = -1.8 - -1.4. Sort k, i, 1 in ascending order.
i, k, 1
Let m = -1274 + 1266. Sort -10, m, 2.
-10, m, 2
Let y(f) = f**3 - 3*f**2 + f + 5. Let a be y(0). Suppose 0 = 3*b - 0*b. Suppose 4*t - 2*h = 2*h - 12, b = -4*t - 2*h. Sort t, a, 4 in descending order.
a, 4, t
Let v = 7 - 1. Let n = -1 + v. Let y(t) = -2*t**3 - 18*t**2 - t - 12. Let h be y(-9). Sort 4, h, n in increasing order.
h, 4, n
Let x = -1 - -3. Suppose 0 = -0*d - d + 10. Suppose 4*o = 0, -5*k + d + 15 = -3*o. Sort x, k, -4.
-4, x, k
Let t = -85955 + 6188615/72. Let p = -17/9 - t. Suppose 1 - 5 = 4*g, 3*g + 23 = -4*a. Put 0, p, a in descending order.
p, 0, a
Let f = 130 - 92. Let k = 38.3 - f. Put 1/4, 5, k in decreasing order.
5, k, 1/4
Suppose -15 = -2*c - 9. Suppose 0 = -3*y + c, -j = 5*y - 3*y - 14. Suppose -8 = -5*z + j. Sort 2, -3, z.
-3, 2, z
Let s = 0.26 + -0.255. Let h = -0.495 - s. Let n = 3.92 - -0.08. Put -2/9, n, h in decreasing order.
n, -2/9, h
Suppose w - 1 - 1 = 0. Suppose -f = 2*f - 5*x + 16, -f - 2*x = -w. Let q be ((-6)/(-9) + (-28)/24)*0. Put -1, f, q in descending order.
q, -1, f
Let j = 1.1 + -1. Let y be 2/(((-34)/68)/(3/(-36))). Sort 0.3, -2, y, j.
-2, j, 0.3, y
Let n = -97 - -97.5. Let k = 3399/16 + -22351/144. Let j = -57 + k. Sort n, j, 1/6.
1/6, j, n
Let i be 3/36*-7 - (-6)/18. Put i, -1/2, -33 in descending order.
i, -1/2, -33
Let v be ((-2)/3)/(2/(-36)). Let p be (7/28)/((-5)/v). Suppose -3*o = -1 + 10. Put 1/9, o, p in decreasing order.
1/9, p, o
Let r = -20/23 + 294/391. Let a = 16 - 8. Let v be a/(-20) - (-24)/10. Sort v, r, -0.4.
-0.4, r, v
Let s be (-3)/(-3 + (-28)/(-8)). Let r = s - -4. Suppose -4*p = -5*g + 8, 5*p - 35 = -g - 4*g. Put g, r, -1 in decreasing order.
g, -1, r
Let f be (6/3)/(-1 - 7). Sort 0.7, f, 5.
f, 0.7, 5
Let z be (-6)/(-38)*2/(-3). Let m = -1788 + 1790. Sort m, z, 0.3, -1/4 in descending order.
m, 0.3, z, -1/4
Suppose -5*i - 3*k = -40, 6*i - 70 = i + 3*k. Let p = -163 - -183. Suppose 22*m - 4 = p*m. Put i, -3, m in descending order.
i, m, -3
Let b be -1 + (2 - 5) + 2*3. Let r(l) = l**2 + l - 4. Let z be r(-3). Let h be ((18/3)/(-3))/z. Sort 0, h, b.
h, 0, b
Let v be ((-4)/(-10))/(5/50). Suppose 0*t - t = -3*g, v*g = 2*t. Suppose g*a - 12 = 4*a. Put a, -5, 4 in descending order.
4, a, -5
Let g = -45 + 79. Let m = g + -30. Sort m, -5, -3.
-5, -3, m
Let b be (-4)/((-8)/(-50)*85/34). Sort -4, b, 3 in increasing order.
b, -4, 3
Suppose -3*r + 39 = -2*v + 10, 27 = -2*v + 5*r. Let h = -13 - v. Let j be (h - 21/9)*-3. Put 2, -2/15, j in decreasing order.
2, -2/15, j
Let v = -111 + 116. Suppose -10 = 5*l - v. Put 0.2, l, 2/7, -0.5 in ascending order.
l, -0.5, 0.2, 2/7
Let u(v) = -153*v**3 - v**2 - 5*v + 5. Let l be u(1). Let y = l + 153. Sort -6, y, -5 in ascending order.
-6, -5, y
Let g = 751 - 750.8. Let f = 4 - 1. Put 5, -1/3, f, g in decreasing order.
5, f, g, -1/3
Let p be (0 - -1 - 0) + -2. Let o(s) = 2*s**2 - 11*s + 7. Let y be o(5). Let w be (-115)/(-100) - (-4)/(-10). Put y, p, w in decreasing order.
y, w, p
Let q be 1/(30/14 + -2). Let o(j) = -3*j**2 + 25*j + 55. Let d be o(10). Put d, -5, q in decreasing order.
q, d, -5
Suppose 2*m = 3*z - 2*m - 216, 216 = 3*z + 5*m. Let v be ((-240)/z)/((-1)/(3/2)). Sort 0, 1, v in decreasing order.
v, 1, 0
Let w(k) = 5*k**3 - 29*k**2 + 11*k + 30. Let v(y) = 3*y**3 - 19*y**2 + 7*y + 20. Let d(p) = -8*v(p) + 5*w(p). Let c be d(-7). Sort -7, c, 2 in descending order.
2, c, -7
Suppose -6*b = -4*b - 4*f + 12, 0 = 4*f - 4. Put -15, 17, b in increasing order.
-15, b, 17
Let z(o) = -o**2 - 17*o + 16. Let b be z(-18). Sort b, 3, -5.
-5, b, 3
Let q(t) = 37*t**2 + 8*t + 8. Let b be q(-1). Sort b, -1, -0.3, -4/5 in descending o
|
{
"pile_set_name": "DM Mathematics"
}
|
7 to the nearest integer?
993
What is the third root of 1837912854 to the nearest integer?
1225
What is 34298417 to the power of 1/2, to the nearest integer?
5856
What is the eighth root of 1313432178 to the nearest integer?
14
What is 137686475 to the power of 1/2, to the nearest integer?
11734
What is the square root of 47866639 to the nearest integer?
6919
What is the seventh root of 5368013505 to the nearest integer?
25
What is 478837265 to the power of 1/9, to the nearest integer?
9
What is the eighth root of 225278118 to the nearest integer?
11
What is 60293055 to the power of 1/6, to the nearest integer?
20
What is 659851911 to the power of 1/3, to the nearest integer?
871
What is the tenth root of 485648707 to the nearest integer?
7
What is the third root of 8687391 to the nearest integer?
206
What is the third root of 439509472 to the nearest integer?
760
What is the third root of 56204336 to the nearest integer?
383
What is 45861056 to the power of 1/2, to the nearest integer?
6772
What is the third root of 9247853 to the nearest integer?
210
What is the square root of 607036242 to the nearest integer?
24638
What is the square root of 268931092 to the nearest integer?
16399
What is the third root of 651168180 to the nearest integer?
867
What is the fifth root of 25714140 to the nearest integer?
30
What is 3115494 to the power of 1/2, to the nearest integer?
1765
What is the cube root of 229419409 to the nearest integer?
612
What is 58231252 to the power of 1/5, to the nearest integer?
36
What is 102515488 to the power of 1/6, to the nearest integer?
22
What is 714450591 to the power of 1/5, to the nearest integer?
59
What is the square root of 30937300 to the nearest integer?
5562
What is 828299679 to the power of 1/5, to the nearest integer?
61
What is the cube root of 148674430 to the nearest integer?
530
What is the cube root of 5970862520 to the nearest integer?
1814
What is the ninth root of 6320641693 to the nearest integer?
12
What is 22961604 to the power of 1/7, to the nearest integer?
11
What is 211802564 to the power of 1/4, to the nearest integer?
121
What is the third root of 13266316 to the nearest integer?
237
What is 178180633 to the power of 1/7, to the nearest integer?
15
What is 2083271816 to the power of 1/8, to the nearest integer?
15
What is 30624848 to the power of 1/6, to the nearest integer?
18
What is 79414224 to the power of 1/2, to the nearest integer?
8911
What is 226481271 to the power of 1/3, to the nearest integer?
610
What is 232267094 to the power of 1/10, to the nearest integer?
7
What is 170077339 to the power of 1/5, to the nearest integer?
44
What is the third root of 1241188085 to the nearest integer?
1075
What is 1880317327 to the power of 1/2, to the nearest integer?
43363
What is 453367032 to the power of 1/2, to the nearest integer?
21292
What is the square root of 110460630 to the nearest integer?
10510
What is the fourth root of 14931966 to the nearest integer?
62
What is the square root of 102540240 to the nearest integer?
10126
What is the sixth root of 33774814 to the nearest integer?
18
What is the third root of 710563549 to the nearest integer?
892
What is 50283370 to the power of 1/7, to the nearest integer?
13
What is 28917808 to the power of 1/6, to the nearest integer?
18
What is the fifth root of 56067121 to the nearest integer?
35
What is the fifth root of 680765371 to the nearest integer?
58
What is the seventh root of 267431306 to the nearest integer?
16
What is 14761606 to the power of 1/2, to the nearest integer?
3842
What is 4603439 to the power of 1/4, to the nearest integer?
46
What is 1573439389 to the power of 1/3, to the nearest integer?
1163
What is the cube root of 1498782 to the nearest integer?
114
What is 889139458 to the power of 1/2, to the nearest integer?
29818
What is 559694103 to the power of 1/5, to the nearest integer?
56
What is 77619130 to the power of 1/2, to the nearest integer?
8810
What is 4089345860 to the power of 1/8, to the nearest integer?
16
What is the third root of 696457109 to the nearest integer?
886
What is the third root of 1785186584 to the nearest integer?
1213
What is 1519799401 to the power of 1/5, to the nearest integer?
69
What is the tenth root of 341571881 to the nearest integer?
7
What is the third root of 6523754095 to the nearest integer?
1869
What is the tenth root of 264427793 to the nearest integer?
7
What is 865215327 to the power of 1/8, to the nearest integer?
13
What is 594130743 to the power of 1/4, to the nearest integer?
156
What is the cube root of 85395340 to the nearest integer?
440
What is the seventh root of 67787003 to the nearest integer?
13
What is 108323146 to the power of 1/2, to the nearest integer?
10408
What is 634996344 to the power of 1/5, to the nearest integer?
58
What is the cube root of 82614929 to the nearest integer?
436
What is 63200684 to the power of 1/4, to the nearest integer?
89
What is 1147499421 to the power of 1/2, to the nearest integer?
33875
What is 3619252383 to the power of 1/3, to the nearest integer?
1535
What is the third root of 1137289888 to the nearest integer?
1044
What is the cube root of 1485834708 to the nearest integer?
1141
What is the square root of 6694843109 to the nearest integer?
81822
What is the ninth root of 46703165 to the nearest integer?
7
What is the cube root of 809010220 to the nearest integer?
932
What is the eighth root of 64111229 to the nearest integer?
9
What is 186263635 to the power of 1/4, to the nearest integer?
117
What is 148177962 to the power of 1/2, to the nearest integer?
12173
What is the cube root of 3828162556 to the nearest integer?
1564
What is 24849987 to the power of 1/2, to the nearest integer?
4985
What is the third root of 243009065 to the nearest integer?
624
What is the fourth root of 214001137 to the nearest integer?
121
What is the eighth root of 686319864 to the nearest integer?
13
What is 247109251 to the power of 1/6, to the nearest integer?
25
What is the third root of 82892227 to the nearest integer?
436
What is the cube root of 30320579 to the nearest integer?
312
What is the cube root of 1035130563 to the nearest integer?
1012
What is the fifth root of 2787831590 to the nearest integer?
77
What is 281587740 to the power of 1/6, to the nearest integer?
26
What is 1504219913 to the power of 1/7, to the nearest integer?
20
What is 5607314070 to the power of 1/2, to the nearest integer?
74882
What is 3990672730 to the power of 1/2, to the nearest integer?
63172
What is 380492112 to the power of 1/7, to the nearest integer?
17
What is 55886474 to the power of 1/8, to the nearest integer?
9
What is 182164489 to the power of 1/6, to the nearest integer?
24
What is 1912023 to the power of 1/6, to the nearest integer?
11
What is 477329345 to the power of 1/2, to the nearest integer?
21848
What is the cube root of 19744666 to the nearest integer?
270
What is the cube root of 59583991 to the nearest integer?
391
What is the ninth root of 549506229 to the nearest integer?
9
What is the fourth root of 1399819552 to the nearest integer?
193
What is 523824019 to the power of 1/9, to the nearest integer?
9
What is the tenth root of 882381618 to the nearest integer?
8
What is the fourth root of 399568664 to the nearest integer?
141
What is 5095660716 to the power of 1/2, to the nearest integer?
71384
What is 561099177 to the power of 1/4, to the nearest integer?
154
What is 80443897 to the power of 1/2, to the nearest integer?
8969
What is the square root of 95504677 to the nearest integer?
9773
What is the tenth root of 65116834 to the nearest integer?
6
What is the cube root of 16834291 to the nearest integer?
256
What is the third root of 49478446 to the nearest integer?
367
What is the fifth root of 3767245668 to the nearest integer?
82
What is the square root of 5071937 to the nearest integer?
2252
What is the third root of 198686318 to the nearest integer?
584
What is 41490161 to the power of 1/7, to the nearest integer?
12
What is the third root of 251530131 to the nearest integer?
631
What is the square root of 1984889419 to the nearest integer?
44552
What is the third root of 148611189 to the nearest integer?
530
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
128
Calculate the least common multiple of 94 and 10.
470
What is the lowest common multiple of 188 and 235?
940
What is the common denominator of -103/22 and 53/11?
22
Find the common denominator of -22/27 and -83/33.
297
Calculate the smallest common multiple of 156 and 6.
156
Calculate the common denominator of -29/1998 and 37/10.
9990
What is the lowest common multiple of 6665 and 430?
13330
Calculate the lowest common multiple of 189 and 77.
2079
Calculate the common denominator of -103/176 and -27/8.
176
Calculate the common denominator of 53/234 and 23/252.
3276
What is the smallest common multiple of 5 and 1594?
7970
Find the common denominator of -1/918 and 5/3294.
55998
Find the common denominator of 49/391 and 28/299.
5083
Find the common denominator of -145/42 and -103/42.
42
What is the least common multiple of 187 and 3366?
3366
Calculate the smallest common multiple of 3 and 39.
39
What is the common denominator of 1/10 and 10/91?
910
Calculate the common denominator of 59/180 and 173/90.
180
Calculate the common denominator of -121/468 and 137/1716.
5148
What is the least common multiple of 21 and 195?
1365
What is the common denominator of 28/5 and 23/2050?
2050
Calculate the common denominator of 20/7733 and -41/7733.
7733
Calculate the common denominator of -59/564 and -20/423.
1692
Calculate the common denominator of 169/5940 and 149/660.
5940
What is the smallest common multiple of 825 and 45?
2475
What is the common denominator of -107/252 and 13/28?
252
Calculate the smallest common multiple of 112 and 14.
112
Calculate the smallest common multiple of 51 and 387.
6579
What is the lowest common multiple of 28 and 7?
28
Calculate the lowest common multiple of 12 and 578.
3468
Calculate the smallest common multiple of 20 and 24.
120
What is the least common multiple of 70 and 28?
140
Find the common denominator of 37/45 and -7/325.
2925
What is the least common multiple of 12 and 38?
228
What is the lowest common multiple of 560 and 28?
560
What is the smallest common multiple of 4 and 1436?
1436
What is the smallest common multiple of 104 and 26?
104
Calculate the common denominator of 23/4710 and -36/65.
61230
Calculate the smallest common multiple of 135 and 9.
135
Calculate the least common multiple of 297 and 132.
1188
Calculate the common denominator of 17/5139 and -33/2855.
25695
What is the smallest common multiple of 341 and 155?
1705
Calculate the common denominator of -191/3330 and 53/18.
3330
Calculate the smallest common multiple of 21 and 48.
336
Calculate the least common multiple of 28 and 16.
112
Find the common denominator of -35/27 and -47/6.
54
What is the least common multiple of 75 and 11?
825
What is the common denominator of 33/49 and 111/196?
196
Calculate the common denominator of 117/56 and -69/104.
728
Find the common denominator of -85/276 and 81/22.
3036
Calculate the lowest common multiple of 17 and 102.
102
What is the least common multiple of 2580 and 12?
2580
What is the least common multiple of 910 and 910?
910
Calculate the smallest common multiple of 110 and 45.
990
Calculate the lowest common multiple of 22 and 48.
528
What is the smallest common multiple of 40 and 180?
360
What is the smallest common multiple of 12 and 300?
300
Calculate the smallest common multiple of 3938 and 2864.
31504
What is the common denominator of 93/52 and 19/65?
260
What is the lowest common multiple of 16 and 43182?
345456
What is the least common multiple of 24 and 64?
192
What is the lowest common multiple of 62 and 8?
248
Calculate the common denominator of -26/21 and -55/3.
21
Find the common denominator of -58/135 and -17/6.
270
Calculate the smallest common multiple of 15642 and 1.
15642
Calculate the lowest common multiple of 891 and 99.
891
What is the common denominator of -19/180 and 109/240?
720
Find the common denominator of -1/42 and 19/14.
42
Calculate the common denominator of 95/8766 and 10/1461.
8766
Calculate the least common multiple of 16 and 3050.
24400
Find the common denominator of 47/20 and 117/10.
20
Calculate the least common multiple of 960 and 8.
960
Calculate the smallest common multiple of 42 and 84.
84
What is the common denominator of -21/8 and -5/369?
2952
Find the common denominator of 104/525 and -181/1200.
8400
What is the smallest common multiple of 516 and 387?
1548
Calculate the common denominator of 34/1267 and -17/1448.
10136
Find the common denominator of -21/88 and 38/33.
264
Find the common denominator of 15/4 and -75/2296.
2296
Calculate the smallest common multiple of 48 and 48.
48
Find the common denominator of 10/737 and 107/44.
2948
What is the common denominator of 123/280 and -23/28?
280
Calculate the common denominator of -149/42 and -57/847.
5082
Calculate the common denominator of 75/472 and 79/116.
13688
What is the common denominator of -67/306 and 65/16?
2448
What is the least common multiple of 10 and 10170?
10170
Find the common denominator of -57/19960 and 35/8.
19960
Calculate the lowest common multiple of 9 and 13.
117
What is the least common multiple of 5 and 216?
1080
What is the smallest common multiple of 11 and 15?
165
Calculate the lowest common multiple of 40 and 10512.
52560
Calculate the common denominator of 167/7812 and 29/8928.
62496
What is the common denominator of -95/204 and -87/64?
3264
Calculate the common denominator of -91/486 and -25/324.
972
What is the lowest common multiple of 8 and 24?
24
What is the common denominator of -8/77 and -61/98?
1078
Calculate the lowest common multiple of 1707 and 10.
17070
What is the lowest common multiple of 686 and 70?
3430
What is the least common multiple of 154 and 154?
154
Calculate the least common multiple of 30 and 585.
1170
What is the least common multiple of 4 and 3452?
3452
Calculate the lowest common multiple of 200 and 100.
200
Calculate the least common multiple of 27 and 12.
108
Find the common denominator of -49/570 and 143/570.
570
Find the common denominator of -115/468 and -161/120.
4680
Calculate the least common multiple of 36 and 4.
36
Find the common denominator of 27/4 and -13/43.
172
Find the common denominator of -5/339 and -43/9.
1017
Calculate the smallest common multiple of 5 and 220.
220
What is the smallest common multiple of 75 and 30?
150
Find the common denominator of 47/261 and -137/18.
522
What is the common denominator of -40/403 and -27/1085?
14105
What is the common denominator of 91/20 and -64/1155?
4620
What is the common denominator of -121/24 and -8/9?
72
What is the lowest common multiple of 14 and 37?
518
Find the common denominator of 83/1280 and -79/200.
6400
Calculate the common denominator of 163/1200 and -79/135.
10800
What is the lowest common multiple of 91 and 910?
910
Calculate the common denominator of -55/48 and -139/408.
816
Calculate the common denominator of -35/187 and 46/55.
935
Calculate the smallest common multiple of 1490 and 447.
4470
What is the least common multiple of 16 and 168?
336
Find the common denominator of 97/24 and 59/138.
552
What is the least common multiple of 63 and 28?
252
Calculate the smallest common multiple of 1804 and 14432.
14432
What is the lowest common multiple of 878 and 5?
4390
Calculate the smallest common multiple of 4 and 10227.
40908
What is the least common multiple of 2 and 1324?
1324
Calculate the lowest common multiple of 72 and 12.
72
Find the common denominator of 49/3 and -55/321.
321
Calculate the common denominator of 47/18 and -13/24.
72
Calculate the least common multiple of 20 and 322.
3220
Calculate the common denominator of -145/168 and -151/336.
336
What is the common denominator of -1/51 and 93/20?
1020
What is the lowest common multiple of 77 and 341?
2387
What is the lowest common multiple of 638 and 8?
2552
Calculate the least common multiple of 6796 and 44.
74756
Calculate the smallest common multiple of 930 and 111.
34410
Calculate the common denominator of -101/130 and 169/30.
390
Find the common denominator of 82/75 and -58/9.
225
What is the common denominator of -82/63 and 64/231?
693
Calculate the common denominator of -17/1494 and -63/1826.
16434
Calculate the common denominator of 6/35 and 89/3339.
16695
What is the smallest common multiple of 603 and 402?
1206
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the second smallest value? (a) r (b) 0 (c) -78
b
Suppose -5*t + 8*q - 3*q - 35 = 0, 2*t - 11 = -3*q. Let g = -0.5185 + 0.5185. Which is the biggest value? (a) -4/5 (b) t (c) 2 (d) g
c
Let f = -93 + 98.3. Let y = f + -5.5. What is the second biggest value in -11, 0.1, y?
y
Let n = -5 + 0. Let w = -0.058 + 17.058. Let u = -14 + w. What is the biggest value in -8, u, n?
u
Let z = 107.3 - 107.1. Which is the second biggest value? (a) 8 (b) z (c) 0
b
Suppose 5*r = 3*r - 8. Let w = -4.39 + 4.79. Let d = -0.3 - -0.1. What is the second biggest value in w, r, d?
d
Let m = -3 - -3. Let s = -0.1 - m. Let u be 12/15 - 28/10. Which is the third biggest value? (a) -5 (b) s (c) u
a
Let d = 235.7 + -236. What is the third smallest value in -4, 10/9, d?
10/9
Let z be -5 + 9 - 8 - 67/(-17). What is the third smallest value in 5/3, z, -4?
5/3
Let g = -922.3 + 923. Which is the fourth smallest value? (a) 1 (b) g (c) -9 (d) 4
d
Suppose 2*w = -c + 6*c - 43, -w - 5*c = -16. Let n be (-2)/w + 17/(-9). Let m = -1.26 - -5.26. What is the second biggest value in -0.3, n, m?
-0.3
Let f = -446 - -451. What is the smallest value in 2/9, -6, 4, f?
-6
Let r = -4 + 4.2. Let i be 0 + 3*(-3 + 8). Suppose z + 2*z + i = 0. Which is the smallest value? (a) 4/3 (b) z (c) r
b
Let r = -1.4 - -27.4. Let f = 25.7 - r. Which is the second biggest value? (a) -0.22 (b) 0.4 (c) f
a
Let t be (-2)/(-4) - ((-77)/(-70))/1. Which is the second smallest value? (a) -1 (b) t (c) -1/4 (d) -5/3
a
Let z = 83 + -81. What is the third biggest value in z, 2/19, 0.08, -0.5?
0.08
Let t = -867.7 - -868. What is the third smallest value in 0.4, -437, t?
0.4
Suppose -4*p + 8 = -4. Suppose -2*m = -p + 1. Let n = -951 + 950.8. What is the biggest value in n, -2, m?
m
Suppose -2*v = -8*v - 24. Let p be ((-3)/(-132))/((-1)/v). What is the second biggest value in p, 0.5, 0.06?
p
Let w = 0.63 - 51.63. Let q = w + 50.6. What is the second biggest value in q, 2/11, 0.03, -1/4?
0.03
Let n = 1.2 - 1.1. Let m be 747/(-81) + (-2)/(-9). Let t = -12 - m. Which is the third biggest value? (a) 1 (b) n (c) t
c
Let m(y) = 5*y - 4. Let s be m(4). Let l = -181 - -184. Which is the third smallest value? (a) 0 (b) s (c) l
b
Let o = 41 + -36. Let p = -0.09 - 0.15. Let l = 0.04 + p. What is the second biggest value in o, 0.4, l?
0.4
Let w = -3.33 + 3.31. Which is the third smallest value? (a) w (b) 3/7 (c) 3/8 (d) -3
c
Let t = -12 - -7. Let b = 0.15 + 0.85. What is the third biggest value in 5, -4, b, t?
-4
Let t = 322 + -320. What is the biggest value in -1/8, t, -12?
t
Suppose -3*z = -5*y - 35, -2*y = -z + 8 + 5. What is the biggest value in 2/3, -6, z?
z
Let r = -44 + 42. What is the second biggest value in 0, 0.1, 1, r?
0.1
Let v = 4 + -3. Let j = 1.05 + 0.15. Let w = j - v. Which is the second smallest value? (a) 0.3 (b) w (c) 0.5
a
Let t = 227/14 + -117/7. What is the smallest value in 6, t, 0.2, 2?
t
Let i = 0.044 - 5.044. Which is the smallest value? (a) -47 (b) i (c) 1/5
a
Let j = 11 + 49. Let g be j/(-16) - 9/(-12). What is the smallest value in -4, 5, g?
-4
Let o = 22.7 - 97.7. What is the second biggest value in 5, o, -3, 1?
1
Let f = -38.19 - -38. What is the smallest value in f, -5/2, -2/45?
-5/2
Let o = 2456 - 2457. Let m = -1.96 - -2. Which is the third smallest value? (a) m (b) -2/3 (c) -1/2 (d) o
c
Let h = -162 + 158. Let s = -151 + 1205/8. Which is the second smallest value? (a) 3/4 (b) h (c) s (d) 4
c
Let l = -463 + 457. What is the biggest value in l, -5, 4?
4
Let p = -505 + 507. What is the second smallest value in p, -0.3, -8?
-0.3
Let u be 18/60 - 11/70. Let w = 115 + -349/3. Which is the fourth biggest value? (a) w (b) 0.1 (c) u (d) -0.4
a
Let u = 3.77 + -3.87. What is the third biggest value in u, 1.5, -2/7?
-2/7
Suppose -4*v + 1 = -s, -s - 4*v = -4 - 3. Suppose 0*z + 141 = -z. Let j = z - -1267/9. Which is the third biggest value? (a) j (b) 1 (c) s
a
Let v = -73 + 28. Let q = -38 - v. Which is the third smallest value? (a) -0.3 (b) 5 (c) q
c
Let u = 1.78 + -1.82. Let i = 35 + -209/6. What is the biggest value in i, u, 4?
4
Suppose 27*y - 298 + 109 = 0. Let x = -21.5 + 22. What is the second biggest value in x, 2, 5, y?
5
Let n = -11.97 - -14.97. Which is the second biggest value? (a) n (b) 1/9 (c) -68
b
Let p(d) = d**2 + 2*d - 1. Let f be p(1). Let y = -416 - -416. Which is the biggest value? (a) y (b) 3 (c) f
b
Let b = -518.9 + 519. Let s = 3 - 4. What is the smallest value in 0.2, b, s?
s
Let d = -721 + 723. What is the biggest value in 0.4, 18, d, -1?
18
Let u = -319/15 + 62/3. What is the second smallest value in u, 3, -6/13?
-6/13
Suppose -2*r - 2 = 2*v, r - 5 = -2*r - v. Which is the smallest value? (a) 0.5 (b) r (c) -1/3 (d) -1
d
Let o be ((-19)/((-380)/(-24)))/((-7758)/60). Which is the biggest value? (a) -0.3 (b) o (c) 1
c
Let g = 0.07 + -0.37. Let w = 343 + -344. What is the smallest value in -4, g, w?
-4
Let s = 14.1 - 14. Let i = 13 - 14. What is the biggest value in i, s, 2/17?
2/17
Let j(f) = -11*f + 34. Let n be j(4). What is the second smallest value in n, 1, 4?
1
Let t(n) = -6*n + 30. Let j be t(6). Let x = -10.9 - -11. Which is the third biggest value? (a) -5 (b) j (c) x
b
Let x be -2 - (45/(-24) + 0). Let o = x + -5/24. Let z = -305/4 + 307/4. What is the third smallest value in -1, o, z?
z
Let o = -1 - -1.02. Let s = 110 + -110.98. Let r = s - o. Which is the second smallest value? (a) -3 (b) r (c) -5
a
Let j = -134 - -129. Let a = 1 - 1/2. What is the biggest value in -1, j, a?
a
Let z = -8 - -12. Let v = -81.42 - -81.22. Which is the second smallest value? (a) 0 (b) 1/6 (c) z (d) v
a
Let y(v) = -20*v + 121. Let n be y(6). Let t = -1 + 1.07. What is the fourth smallest value in 3, n, t, -2?
3
Let x be -5*(-1 - 1/(-5)). Suppose x = -j + 5*j. Which is the second biggest value? (a) -1 (b) j (c) -0.2 (d) -4/3
c
Let p(o) = o**3 - 15*o**2 + 40*o - 46. Let x be p(12). Which is the fourth biggest value? (a) 3 (b) x (c) -0.4 (d) -10
d
Let i(w) = 9*w**2 + 2. Let t be i(-1). Suppose -3 = -3*q - 3*l, 5*l - t = -3*q + 4*q. Let s = 5 + -8. Which is the second biggest value? (a) s (b) q (c) 4
b
Let u = 34 - 34.59. Let r = -0.09 - u. Let y = 662/815 + -2/163. Which is the second smallest value? (a) y (b) 1/4 (c) r
c
Let o(k) = k**2 - 9*k - 37. Let u be o(12). Which is the third biggest value? (a) -0.3 (b) u (c) 99
b
Let v = 0.03 + 0.03. Let l = -0.36 + v. Let g = -15 + 16. What is the third biggest value in -2/11, g, l?
l
Let i = 38/99 - 3/11. Let h be (-15)/10 + (-7)/(770/(-185)). Which is the smallest value? (a) -5 (b) h (c) i
a
Let f = -1030 + 1026. Which is the smallest value? (a) f (b) 218 (c) 0.4 (d) 3/5
a
Let q = -6093 - -6106.033. Let y = q + -0.033. What is the biggest value in y, 1/9, -3?
y
Let z = -79.96 + 82. Let f = 0.04 - z. Let o be -5 - 0 - 819/(-169). What is the third biggest value in o, -3/2, f?
f
Let j = -5.68 + 1.95. Let h = j + -0.27. What is the third smallest value in h, 2, 1?
2
Let y = 0.44 + 0.06. Let r be -1*(-20)/35*1. What is the third biggest value in r, 1/5, y?
1/5
Let d = 17 + -26. Suppose k = -2*k + 5*n + 43, -2*n = 3*k - 29. Let c = k + d. What is the biggest value in -1/2, 3, c?
3
Let y = 108 - 101. Let h = y + -8.8. Let q = -2.3 + 2. What is the smallest value in -2, q, h?
-2
Let w = -0.059 + 0.059. Which is the smallest value? (a) w (b) 3 (c) 0.01
a
Let z(i) = 14*i - 3. Let m be z(4). Let s be (1 + (-1)/4)/(m/212). Which is the third biggest value? (a) s (b) -1/20 (c) 0.3
b
Let k = 1/367 - 1126/9175. What is the third biggest value in k, 1/8, -3?
-3
Let x = 6 + -11. Let z = -2 + -16. Which is the second smallest value? (a) x (b) z (c) 1/4
a
Let d = -28 + 29.1. Let v = 364.8 + -362.8. What is the smallest value in d, -0.1, v?
-0.1
Let o = 7.4 - 1.4. Let z = 3.4 - 8.4. Let h = o + z. What is the third smallest value in 1/21, h, 0.2?
h
Let t = -0.025 - -43.025. Let p = t - 42.5. What is the second smallest value in p, -2, 1?
p
Let t = 1.3 - 1.7. Let r = t - -0.1. Let l = -3/10 - -1/2. Which is the second biggest value? (a) 0.1 (b) r (c) l
a
Let q = 3.1 + -16.1. Let v = q - -17. Let g = -2.7 + 4.7. Which is the second biggest value? (
|
{
"pile_set_name": "DM Mathematics"
}
|
e 11*v - 115 = 6*v + 5*q, -5*q + 110 = 4*v. What is the third derivative of -79*t**3 - 13*t**2 + 27*t**4 - v*t**4 - 14*t + 7*t**2 wrt t?
48*t - 474
Let m(o) be the third derivative of -2201*o**6/30 - 13*o**4/2 + 4*o**3/3 + 3*o**2 + 3*o - 154. Find the second derivative of m(v) wrt v.
-52824*v
What is the second derivative of -730*s + 198*s**2 + 1989*s + 1101*s + 202*s**2 + 573*s**2 wrt s?
1946
Let x(i) be the first derivative of -3*i**2/2 - 14*i - 18. Let v be x(-6). Find the first derivative of -3 + 9*m**v + 18 + 10*m**4 wrt m.
76*m**3
Suppose x = 3 + 4. Find the third derivative of 4*y**2 + 78*y**4 + y**2 - x*y**2 wrt y.
1872*y
What is the third derivative of -10119*c**2 - 14*c**5 + 10123*c**2 + c**6 - 19*c - 6*c**5 + 4 - 19*c**4 wrt c?
120*c**3 - 1200*c**2 - 456*c
Let t(m) = 120*m + 242. Let a(p) = -41*p - 80. Let f be (-10)/7*574/(-205). Let q(z) = f*t(z) + 14*a(z). Differentiate q(y) wrt y.
-94
Let d(g) = -8*g - 5. Suppose -5*x + n = -2*n + 22, 3*x + n = -16. Let j be d(x). What is the third derivative of 4 + 14*w**5 - j*w**2 + 18*w**5 - 4 wrt w?
1920*w**2
Let r(k) be the second derivative of -305*k**8/56 - k**7/7 + k**4/2 + 75*k**2 - 11007*k. What is the third derivative of r(o) wrt o?
-36600*o**3 - 360*o**2
Find the third derivative of -932*r**5 + 354592*r**3 + 7*r - 46*r**2 - 354592*r**3 wrt r.
-55920*r**2
Let d(o) be the first derivative of -1377*o**2/2 - 1208*o + 539. Differentiate d(k) wrt k.
-1377
What is the second derivative of -609*d + 735*d + 765*d + 241*d + 915*d**3 wrt d?
5490*d
Let s(l) be the second derivative of 503*l**5/4 + l**4/6 + 1357*l**3/3 - 2294*l. What is the third derivative of s(d) wrt d?
15090
Let p be 84/15 - 6/(-15). Let u be 6/(-51) + -13 + 3783/221. Differentiate -40 - 39*t**4 - p*t**4 + 7*t**u wrt t.
-152*t**3
Let x(q) = -4*q**3 + 2*q**2 + 4*q - 2. Let a be x(3). Let v be ((-16)/a)/(2/50). Differentiate 17 - 9*p**4 - v + 4 with respect to p.
-36*p**3
Let z(v) be the second derivative of -2641*v**6/30 + 243*v**3/2 - 31*v - 8. What is the second derivative of z(l) wrt l?
-31692*l**2
What is the second derivative of 487*r - 68075*r**2 - 1755*r + 57251*r**2 wrt r?
-21648
Let f(w) be the first derivative of -1/3*w**3 + 3/2*w**4 + 31 + 0*w**2 - 48*w. Find the third derivative of f(t) wrt t.
36
Let n be 1/(-3) - 4*(-1959)/18. Suppose 12*p = n - 27. What is the second derivative of 4*d**2 - 69*d - 28*d**4 + p*d - 4*d**2 wrt d?
-336*d**2
Let r(s) be the second derivative of 2/5*s**6 + 0*s**3 - 40*s + 0 + 0*s**2 + 63/4*s**4 + 0*s**5. What is the third derivative of r(h) wrt h?
288*h
Let j(x) be the first derivative of 2017*x**4/2 + 6854*x + 228. Differentiate j(q) wrt q.
12102*q**2
Find the third derivative of -38*x**4 - 580*x**3 - 34*x**4 + 1120*x**2 + 75*x**4 - 236*x**2 wrt x.
72*x - 3480
Let j = -52 - -34. Let v be j/(-54)*3*2. What is the third derivative of -t**4 - 171*t**3 + 9*t**v + 171*t**3 + 4*t**4 wrt t?
72*t
Let w(v) = -291*v**2 - 2828. Let k(f) = -1488*f**2 - f - 14139. Let t(q) = 2*k(q) - 11*w(q). What is the second derivative of t(d) wrt d?
450
Let a(b) = 10384*b**2 - 11*b - 316. Let u(t) = -31150*t**2 + 30*t + 949. Let q(r) = 8*a(r) + 3*u(r). Find the second derivative of q(m) wrt m.
-20756
Suppose -3*i - 35 = -7*i - 5*t, 0 = -3*i + 3*t + 6. Find the second derivative of b**i + 105*b - 3*b**4 - 283*b + 108*b - b**4 wrt b.
20*b**3 - 48*b**2
Let i(j) = -2550*j**3 + 813*j**2 + 25*j + 10. Let x(o) = -o**3 - o**2 + 5*o + 2. Let p(d) = i(d) - 5*x(d). What is the third derivative of p(h) wrt h?
-15270
Suppose 5*h + 5*a - 2511 = -1016, 5*h + a - 1495 = 0. Find the second derivative of 184*c**4 - 278*c + 666*c - h*c wrt c.
2208*c**2
Let g(o) = 352*o + 256. Let r(k) = 3*k - 14. Let y(m) = -g(m) + 160*r(m). What is the derivative of y(l) wrt l?
128
Let p = -23 + 27. Let k be 9/p*(-832)/(-78). What is the second derivative of k*d - 4*d**2 + d**2 - 12*d**2 - 4*d**2 wrt d?
-38
Let u(o) be the second derivative of 73/42*o**7 + 1/4*o**4 + 0 + 7/3*o**3 + 0*o**6 + 0*o**2 + 110*o + 0*o**5. Find the third derivative of u(m) wrt m.
4380*m**2
What is the first derivative of 492*i**2 - 913 + 369*i**2 + 857*i**2 - 625*i**2 + 643*i**2 wrt i?
3472*i
Let z be (5 + (-455)/7)/(-1). Find the first derivative of -7*d**2 - z + 15 - 97 wrt d.
-14*d
Let k(j) = -2*j**2 + 12*j - 6. Let v be k(5). Find the second derivative of -4*m**2 + m**v - 10666*m + 10760*m + m**4 + 2 wrt m.
24*m**2 - 8
Let s be 2*((-25)/(-10) - 4) - -11. Find the second derivative of 42*y**3 - 41*y + 1144 - s*y - 1144 wrt y.
252*y
Let l(m) be the second derivative of -29/10*m**6 + 0*m**2 + 27*m + 0 + 0*m**3 + 0*m**5 + 65/12*m**4. Find the third derivative of l(p) wrt p.
-2088*p
Suppose 2*j = -b + 24, -5*b + 0*b + 3 = j. Suppose -j - 3 = -2*w. What is the derivative of -9 + 0 - 12 - w*u**4 + 3 wrt u?
-32*u**3
What is the third derivative of 339*a**6 - 2*a**2 - 55*a**3 + 24*a**6 - 2*a - 743 + 25*a**3 + 30*a**3 wrt a?
43560*a**3
What is the third derivative of -5 + 15*f**2 + 14 - 56*f**3 - 222*f**3 - 21*f**2 - 33*f**2 + f**4 wrt f?
24*f - 1668
Let a(u) be the first derivative of 46 + 52/3*u**6 - 7/3*u**3 - 1/2*u**2 + 0*u**4 + 0*u**5 + 0*u. What is the third derivative of a(j) wrt j?
6240*j**2
Let g(u) = -u**2 - 11. Let p be g(5). Let l be p/24 + -2*146/(-8). What is the second derivative of -5603 - 16*m**4 + l*m + 5603 - 10*m wrt m?
-192*m**2
Let j(f) = -f + 88. Let b(r) = 175*r**3 - 17*r**2 - 8667*r + 176. Let y(x) = -b(x) + 2*j(x). Find the second derivative of y(u) wrt u.
-1050*u + 34
Let i(s) be the third derivative of 83*s**5/60 - 271*s**4/24 + 446*s**2 - s. Find the second derivative of i(o) wrt o.
166
Let n(c) = -4436*c**2 - 4307*c + 8. Let q(u) = 13308*u**2 + 12931*u - 22. Let r(o) = 11*n(o) + 4*q(o). Find the second derivative of r(h) wrt h.
8872
Let o = 47 - 50. Let l be (1006/o)/(2/(-3)). What is the first derivative of -22 - 503*f + l*f + 32*f**3 wrt f?
96*f**2
Suppose 4*y = -2*q + 3*y - 9, -5*q = -3*y + 17. Let a be q/3*9/(-3). What is the third derivative of -158 + 6*n**a + 13*n**2 + 158 wrt n?
144*n
Let y(d) be the second derivative of -27/2*d**4 + 0*d**3 - 36 + 0*d**2 - 1/4*d**8 + 0*d**7 - 3*d - 2/5*d**5 + 0*d**6. Find the third derivative of y(k) wrt k.
-1680*k**3 - 48
Find the second derivative of -6401*v**3 + 624*v - 214*v + 100 - 213*v - 202*v wrt v.
-38406*v
Find the second derivative of -31*k**4 + 0*k**3 - 8670 + 3*k**2 + 6*k**3 + 8653 + 0*k**3 + k wrt k.
-372*k**2 + 36*k + 6
Let x(j) = -2315*j**3 - 21*j**2 - 7*j - 4759. Let z(a) = -1159*a**3 - 12*a**2 - 4*a - 2379. Let g(n) = 4*x(n) - 7*z(n). Differentiate g(b) with respect to b.
-3441*b**2
Let i be 0/(15/(-6) + 2/4). Let b(y) be the first derivative of -32 + i*y - 18*y**2 + 19/4*y**4 + 0*y**3. What is the second derivative of b(s) wrt s?
114*s
Let m = -224 - -247. Find the first derivative of 78*w**4 + 132 + m*w**4 - 39*w**4 wrt w.
248*w**3
Find the second derivative of 4*f**2 - 29 + 25*f + 5738*f**3 - 11*f**2 + 7*f**2 + 658*f**3 wrt f.
38376*f
Suppose -5*m + 5*y = 2*y + 30, 5*m = -3*y. Let b be m/(-2)*4/2 - -14. Find the second derivative of 3218 + 31*k - 3218 + b*k**4 wrt k.
204*k**2
Suppose -148 = 5*d + 4*j - 551, 5*j = -5*d + 405. Find the first derivative of 15*w**3 + w**3 + d + 5*w**3 + 27 wrt w.
63*w**2
Let p(b) = -693*b**3 + 3*b**2 + 3*b - 274. Let g(z) = 1390*z**3 - 6*z**2 - 5*z + 547. Let a(r) = 3*g(r) + 5*p(r). What is the third derivative of a(y) wrt y?
4230
What is the third derivative of -124*l**2 - 48 - 3592*l**5 - 127*l**4 + 3590*l**5 - 12*l**6 + 96*l**2 wrt l?
-1440*l**3 - 120*l**2 - 3048*l
Find the third derivative of -36*a**4 - 59*a**5 + 34*a**4 + 2*a**4 + 648*a**5 + 2*a**6 - 1616*a**2 wrt a.
240*a**3 + 35340*a**2
Let w(n) = -3103*n**3 - 52*n**2 + 13*n - 97. Let c(j) = 517*j**3 + 8*j**2 - 2*j + 16. Let g(r) = -13*c(r) - 2*w(r). Find the first derivative of g(m) wrt m.
-1545*m**2
Let t(r) = -r**3 + 8*r**2 + 11*r + 18. Let q be t(7). Find the second derivative of -13*z**3 + 266*z - q*z**3 + 1 - 223*z wrt z.
-942*z
Let v(y) be the first derivative of -396*y**5/5 + 2*y**3/3 + 215*y**2/2 + 2*y - 114. Find the second derivative of v(o) wrt o.
-4752*o**2 + 4
Let d(u) be the first derivative of -3*u**5/5 + u**4/4 + 5*u**3/3 - 245*u**2/2 - u + 655. What is the second derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
33)*-2)/(-1*sqrt(275)).
-6*sqrt(3)/5 + 6
Simplify (-4 + 1*sqrt(11)*6)*3*-6.
-108*sqrt(11) + 72
Simplify (2*(-1*(sqrt(66) - (sqrt(66) - (sqrt(66) + sqrt(66) + sqrt(66)*2))))/(sqrt(216)*-2 + sqrt(216) + sqrt(216) + sqrt(216)))**2.
176/9
Simplify ((sqrt(250)*-5)/(sqrt(32)*4 + sqrt(2)))**2.
3125/289
Simplify (2*(-1*sqrt(130) + sqrt(130)) - sqrt(130))/(1*sqrt(360) + sqrt(360))*2.
-sqrt(13)/6
Simplify (-2*(6*(sqrt(110) + 3*sqrt(110) + sqrt(110) - sqrt(110)) + sqrt(110))/(-3*sqrt(20)/sqrt(2)))**2.
27500/9
Simplify (0 + sqrt(200))**2 + (0 + sqrt(2) + sqrt(2))*-1 - ((sqrt(6)/sqrt(3) - sqrt(2)) + -5 + sqrt(18)/(2*sqrt(9) + sqrt(9)))**2.
4*sqrt(2)/3 + 1573/9
Simplify (-4*(sqrt(4050) + (sqrt(4050) + 1*sqrt(4050) - sqrt(4050)) + sqrt(50)))/(sqrt(360)/sqrt(4) - (sqrt(10) + sqrt(490)*-2 + sqrt(490)))*4.
-304*sqrt(5)/9
Simplify (-3 + (sqrt(468) - (sqrt(468)*-2*-6 + sqrt(468))**2) + -4*(1 + sqrt(468))**2)*1.
-80971 - 42*sqrt(13)
Simplify (((-2*sqrt(250))/sqrt(10) + sqrt(250)/(2*sqrt(10)))/(sqrt(20)/(sqrt(2352)/sqrt(12) - sqrt(4))))**2.
405
Simplify (-2 + sqrt(180) + 1 + sqrt(180) + 2 + -1)**2*1*-6.
-4320
Simplify -3*((sqrt(242) - 2*(sqrt(242) + 3*sqrt(242))) + 6*(sqrt(242) + 0) + 0)**2.
-726
Simplify (sqrt(84)*2*-6 + (sqrt(84) - ((2*sqrt(84) - sqrt(84)) + sqrt(84)))*-3)/(sqrt(108)*-1 + sqrt(960)/sqrt(5)).
-9*sqrt(7)
Simplify (-2*(sqrt(7) - sqrt(28)/sqrt(4)) + -1 + sqrt(7) + sqrt(7)*1)**2*-4*6*-1.
-96*sqrt(7) + 696
Simplify (sqrt(297)/(sqrt(27)/sqrt(3) + sqrt(9)) - (sqrt(231)*2)/sqrt(7))/((sqrt(150)/(sqrt(10)*1))/sqrt(5)).
-3*sqrt(11)/2
Simplify 2*4*(1*sqrt(75)/sqrt(5))/(sqrt(60)/(sqrt(972) + sqrt(12))).
80*sqrt(3)
Simplify (sqrt(480)/(sqrt(12) - sqrt(48)*3))/((sqrt(120)/sqrt(27))/sqrt(5)).
-3*sqrt(5)/5
Simplify (((sqrt(55) - sqrt(5500)*-6 - sqrt(55)) + sqrt(55))/((sqrt(250)/sqrt(10))/sqrt(5) + sqrt(5) + sqrt(5)) + 3)**2.
122*sqrt(11) + 41012/9
Simplify ((sqrt(637) - sqrt(637)*1) + -2 + (-2 + sqrt(1053) - sqrt(1053)) + 0)**2.
16
Simplify (-3*1*sqrt(1008))/(sqrt(64) + 3*sqrt(64)*2 + sqrt(64)).
-9*sqrt(7)/16
Simplify -1 + -1*(2 + (-3 + sqrt(931))**2 - sqrt(931) - sqrt(931) - sqrt(931)).
-943 + 63*sqrt(19)
Simplify (1*(sqrt(108) + -2 + 2) - ((sqrt(108) + sqrt(108)*1 + sqrt(108))*1 - (4*sqrt(108)*-2 + sqrt(108) - sqrt(108))))**2.
10800
Simplify (sqrt(18)/(sqrt(3)*2*3))/(sqrt(2) + -6*sqrt(8) - (sqrt(96)/sqrt(12) + sqrt(2))).
-sqrt(3)/84
Simplify (((0 + sqrt(425) - sqrt(425)) + sqrt(425) + -4)**2 - sqrt(425) - sqrt(425)) + ((sqrt(17) + 1)*4 - (4 + 2*sqrt(17))).
-48*sqrt(17) + 441
Simplify 3 + ((sqrt(272)*2 + 3)**2 - -6*((2*sqrt(272) + sqrt(272) + sqrt(272) + sqrt(272))**2 - sqrt(272))).
24*sqrt(17) + 41900
Simplify (6*(-5*(sqrt(156) + sqrt(156)*1) + sqrt(156)))/((-2*sqrt(768) + sqrt(768))*5).
27*sqrt(13)/20
Simplify (5*sqrt(1250) - sqrt(1250))/(-4*sqrt(1000))*-3.
3*sqrt(5)/2
Simplify -1*(0 + 2 + sqrt(832)) + (sqrt(832) - (((sqrt(832) + -1 - sqrt(832)) + -1)**2 - sqrt(832)) - (sqrt(832) - (3 + (1*sqrt(832))**2))).
829
Simplify (-3*(sqrt(204) - (sqrt(204)*-1*-1 + sqrt(204) + sqrt(204) - sqrt(204)))/(sqrt(12)*-3*6)*-1)**2.
17/36
Simplify (sqrt(70)/sqrt(8))/(sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(7)*5*-5))).
-sqrt(5)/52
Simplify sqrt(396)*-1*-5 - (sqrt(396) + 3 + -1).
-2 + 24*sqrt(11)
Simplify (-1*((-1*sqrt(77) - sqrt(77) - sqrt(77))*-4 + sqrt(77))/((sqrt(140)/sqrt(4))/sqrt(5)))**2.
1859
Simplify -5*(sqrt(15)/sqrt(3)*-4)**2*3 + sqrt(45)/sqrt(81) + (2*(1*sqrt(5) + sqrt(5)))**2 + sqrt(5).
-1120 + 4*sqrt(5)/3
Simplify ((sqrt(4235) + (sqrt(4235) - sqrt(4235)*-2) + sqrt(4235) - sqrt(4235))/sqrt(720)*-2)**2*-6.
-6776/3
Simplify -6*(-4 + -1*sqrt(468) - (-3 + sqrt(325) + 1))**2.
-9462 - 264*sqrt(13)
Simplify (0 + 5*sqrt(343) + -3*(sqrt(7) - 6*sqrt(175)) + 3)**2.
732*sqrt(7) + 104197
Simplify ((sqrt(330)/((4*sqrt(90))/sqrt(9)))/((sqrt(3) - sqrt(225)/sqrt(3))*2))**2.
11/1024
Simplify (sqrt(77) - -1*sqrt(77))/sqrt(11) - -1*sqrt(7)*-3 - 6*(sqrt(448) + 0).
-49*sqrt(7)
Simplify (1*sqrt(60))/(-4*sqrt(300)).
-sqrt(5)/20
Simplify -5*4*(sqrt(468)*2*-2 + 5).
-100 + 480*sqrt(13)
Simplify (-3 + -3 + -5 + -1*sqrt(1331) + (sqrt(1331) - (2 + sqrt(1331) + 1)))**2.
308*sqrt(11) + 1527
Simplify (1 + sqrt(3))*1 + sqrt(6)/(-2*sqrt(2)) + (sqrt(9)/(1*sqrt(3)) + sqrt(27)/(sqrt(9) + (sqrt(45)/sqrt(5) - sqrt(9))))**2.
sqrt(3)/2 + 13
Simplify ((sqrt(720) + -1*-2*sqrt(720) - (-4 + sqrt(720) + (sqrt(720) - (sqrt(720) + sqrt(720) + 1 + sqrt(720) - sqrt(720))))) + 2)**2*-5.
-32645 - 2520*sqrt(5)
Simplify (sqrt(375) - 2*sqrt(375))/((sqrt(35) + sqrt(140)/sqrt(4))/sqrt(7) - sqrt(5)) + (-1 + sqrt(3) + 4 + -1 + 4)**2.
7*sqrt(3) + 39
Simplify (-3 + 0 + sqrt(1377) + -3 + 2)**2 + 0.
-72*sqrt(17) + 1393
Simplify (-5*sqrt(243)*-1)**2 + ((sqrt(99)*-2)/sqrt(11))/sqrt(3).
-2*sqrt(3) + 6075
Simplify sqrt(441)/((sqrt(7) + sqrt(28)/sqrt(4))*-2) - 2*(-1 + (sqrt(63) - sqrt(567))).
2 + 45*sqrt(7)/4
Simplify (1 + 3 + -3 + sqrt(3) - (5 + sqrt(432) + 4 + sqrt(432)))**2.
368*sqrt(3) + 1651
Simplify ((4*sqrt(190))/sqrt(10))**2*-6 - (sqrt(19) + (0 + sqrt(2299))**2 - sqrt(95)/sqrt(45)).
-4123 - 2*sqrt(19)/3
Simplify 2 + (6*(-2 + sqrt(1573)) + 2)*1.
-8 + 66*sqrt(13)
Simplify (-6*(sqrt(95) + (-3*sqrt(95)*3 - sqrt(95)) - sqrt(95) - sqrt(95)))/(3*sqrt(35)/sqrt(7)*-2).
-11*sqrt(19)
Simplify (sqrt(153) + sqrt(153) + 0 + 1 - (sqrt(153) + -1 + -2)**2)*-6 + 1.
-144*sqrt(17) + 967
Simplify (sqrt(77) + (sqrt(77) - (1*sqrt(77) - sqrt(77)))*4 - sqrt(77) - (1*sqrt(77)*-4 - sqrt(77)))/(2*sqrt(704)).
9*sqrt(7)/16
Simplify ((sqrt(304) + -1 + 2)*-1 - (6*-1*sqrt(304) + -4*2*sqrt(304)))**2.
-104*sqrt(19) + 51377
Simplify ((sqrt(1000)*-6)/(sqrt(40)/sqrt(5)*-5 + sqrt(8)) + 4 + -1)**2.
45*sqrt(5) + 1161/4
Simplify 2 + (-3*(-2*sqrt(153))**2 + sqrt(153) - (sqrt(153) + -2 + -1*sqrt(153))).
-1832 + 3*sqrt(17)
Simplify (2 + (sqrt(117)/(sqrt(27)/sqrt(3)) - (sqrt(117) - (sqrt(117) + -1))) + 1*sqrt(65)/sqrt(5)*-6)**2.
-10*sqrt(13) + 326
Simplify (6*(3 + sqrt(1700) + -2 - sqrt(1700)) + (sqrt(1700) + sqrt(1700) + 0 + sqrt(1700) + 3)*-1)**2.
-180*sqrt(17) + 15309
Simplify -3 + (4 + 4*((sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(11) + -1 + sqrt(275)))) + 0 + -2 + sqrt(11)))**2.
-512*sqrt(11) + 11325
Simplify (-3*(sqrt(1694)*-1 - sqrt(1694) - sqrt(1694)))/(((-2*sqrt(441))/sqrt(7))/sqrt(9)).
-99*sqrt(2)/2
Simplify (((sqrt(456) + sqrt(456)*-1)*-4)/sqrt(12))/(sqrt(8) + sqrt(64)/(sqrt(32)/sqrt(4))).
0
Simplify (sqrt(1088)*3 + (sqrt(17) - (-2 + -1 + sqrt(17))))**2*6.
864*sqrt(17) + 58806
Simplify sqrt(28)/sqrt(4) + -5 + 2 + sqrt(63) - (-2 + sqrt(1008) + -2)**2.
-1027 + 100*sqrt(7)
Simplify (0 + (-1*(sqrt(475) + 1*sqrt(475) + -1)*-6)**2)*-2.
-136872 + 1440*sqrt(19)
Simplify (6*3*(-5 + sqrt(128) + -1 + sqrt(128))*-6)**2.
-2239488*sqrt(2) + 6391872
Simplify 5*(3 + 3*sqrt(117)) + (2*sqrt(156)*-1)/(5*1*sqrt(12)).
15 + 223*sqrt(13)/5
Simplify ((sqrt(264)/(sqrt(1200)*-1))/(sqrt(55)/(sqrt(20)*2 + sqrt(5))))**2.
1/2
Simplify (((sqrt(720) + 1 - sqrt(720)) + sqrt(720))**2 + -2 + 0)*5 + 5.
120*sqrt(5) + 3600
Simplify (sqrt(500) + 0)**2 + -5 + sqrt(25)/sqrt(5) - (((sqrt(15)/sqrt(3) - sqrt(5)) + sqrt(5))*6 - sqrt(5) - sqrt(180)*-2)**2.
-950 + sqrt(5)
Simplify (-4*(sqrt(171) - (sqrt(171)*1 - sqrt(171))*-1)/(sqrt(45)/sqrt(5)*6)*-2)**2.
304/9
Simplify (-4 + (sqrt(704) + -1)*-6)**2 - (-1 + sqrt(704) + 0 + -3).
-200*sqrt(11) + 25352
Simplify (3*-6*(2*sqrt(88) - sqrt(88))/sqrt(8)*-2)**2.
14256
Simplify ((-1 + sqrt(1053) - sqrt(13))**2 - sqrt(416)/sqrt(2) - (sqrt(117) + -1 + sqrt(117)*-2)**2)*2.
-52*sqrt(13) + 1430
Simplify 2*(-1 + (-3*(sqrt(1088) - (sqrt(1088) + sqrt(1088)*-3 - sqrt(1088)) - sqrt(1088)) + -4)**2).
1152*sqrt(17) + 176286
Simplify -5 + 5 + sqrt(17) + 1 + sqrt(187)/(sqrt(66)/(sqrt(12)/sqrt(2)) + sqrt(11)).
1 + 3*sqrt(17)/2
Simplify -4*(-5 + sqrt(187)/((sqrt(88)*-1)/sqrt(8)))*-5.
-100 - 20*sqrt(17)
Simplify (-3*(1*sqrt(117) + sqrt(117)) - (sqrt(117) + (sqrt(117) - -1*sqrt(117))*5 + sqrt(117) - sqrt(117))) + (-5 + sqrt(117) + -2)*3.
-42*sqrt(13) - 21
Simplify (5 + -2*sqrt(200)/sqrt(36))*-4*-1.
-40*sqrt(2)/3 + 20
Simplify (6*-1*sqrt(76)/(sqrt(100) + sqrt(100)*4)*5)**2.
684/25
Simplify 4*(sqrt(637)*-2*-3*3)**2.
825552
Simplify (6*-2*sqrt(204))/(-2*sqrt(12)*-4) - (6*sqrt(187)*1 - sqrt(187))/(sqrt(11)*-1*2 - sqrt(11)).
sqrt(17)/6
Simplify (1*sqrt(648)*1)/(sqrt(4)*2*-2*1).
-9*sqrt(2)/4
S
|
{
"pile_set_name": "DM Mathematics"
}
|
100 wrt d?
1027524*r + 810
What is the derivative of 310*g**3*q**2 + 6058*g**2*q**3 + 213016*q**3 - 2*q wrt g?
930*g**2*q**2 + 12116*g*q**3
Find the second derivative of -31878438*g**3 - 2*g**2 + 59338670*g wrt g.
-191270628*g - 4
Find the first derivative of 7*a**2*b*k**3 - 877827*a**2*b - 1683*a**2*k**3 - 3952*k**3 wrt b.
7*a**2*k**3 - 877827*a**2
Differentiate 2*m**4 - 1269754*m**2 - 7*m - 95421927.
8*m**3 - 2539508*m - 7
What is the second derivative of 6577621*f**5 + f**4 + 7809*f + 3472?
131552420*f**3 + 12*f**2
Find the third derivative of 14310212*f**3*i**3*r + 9*f**2*i**3*r + 118*f**2 - 3*f*i**2 - i**3*r + 254*i + 1 wrt f.
85861272*i**3*r
Find the third derivative of -289749869*k**5 - 23*k**2 + 1436844 wrt k.
-17384992140*k**2
Find the second derivative of 21139932*i**2 + 210*i + 28288 wrt i.
42279864
What is the second derivative of 51*i**3 - 19172*i**2 + 13303436*i wrt i?
306*i - 38344
What is the second derivative of -560428295*b**2 - 65*b - 851243?
-1120856590
What is the third derivative of -170409198*w**4 - w**3 + 187*w**2 - 4037*w wrt w?
-4089820752*w - 6
Differentiate -138*j**2*p**2*v + 169*j**2*p + 2*j**2 + 2*j*p**2 + 2*j*p - 1237234*p**2*v - p**2 - 4 with respect to v.
-138*j**2*p**2 - 1237234*p**2
Find the second derivative of -123*g*h**3 + 7368*g*h**2 + 2*g*h + 4*h**3 + 67*h - 12786 wrt h.
-738*g*h + 14736*g + 24*h
What is the derivative of 718*g**4*u**3 + 37*g**4 - 24*g - 2*u**3 + 321*u**2 + 208*u - 20 wrt g?
2872*g**3*u**3 + 148*g**3 - 24
What is the second derivative of 14125*j**5 - 2*j**4 - 2507271*j + 1 wrt j?
282500*j**3 - 24*j**2
Differentiate -119444723*g*l - 9731*g - 3098 with respect to l.
-119444723*g
Find the second derivative of 2718*i**5 - 232*i**4 - 2*i**2 + 282*i - 42877.
54360*i**3 - 2784*i**2 - 4
What is the third derivative of -130426*g**4 + 40*g**3 + 123712*g**2 + 594 wrt g?
-3130224*g + 240
Find the first derivative of -178935818*u - 216573606.
-178935818
What is the first derivative of -a*g**2 + 216*a*g - 6670090*a - 2*g**2 - 1711*g wrt g?
-2*a*g + 216*a - 4*g - 1711
Find the second derivative of -23006*j**4 + 184*j**3 + 2*j**2 + j + 544890 wrt j.
-276072*j**2 + 1104*j + 4
Find the third derivative of 19610669*t**5 + 702*t**2 - 3*t - 2568.
1176640140*t**2
What is the derivative of k**4 - 1668864*k**3 - 2*k + 5288466 wrt k?
4*k**3 - 5006592*k**2 - 2
What is the third derivative of -423158058*x**5 + 572*x**2 - 20*x - 1614?
-25389483480*x**2
Find the second derivative of -19*g*j**3*s - 321*g*j*s + 2*g*j + 118976*j**4*s + 1366*j*s wrt j.
-114*g*j*s + 1427712*j**2*s
Find the second derivative of -12274582*z**4 + 3051*z - 2574 wrt z.
-147294984*z**2
What is the third derivative of 630538*h**3*z**3 + 15*h**3*z**2 + 2*h**3*z - 2*h**3 + 70*h*z**4 + 2280*h*z**2 + 8*h*z + 1 wrt z?
3783228*h**3 + 1680*h*z
What is the second derivative of 3*h**3*r**2*t**2 - 30*h**3*r*t**2 + 2*h**3*r*t + 36929*h*r*t**2 - 1481122*r**2*t**2 wrt r?
6*h**3*t**2 - 2962244*t**2
What is the second derivative of -366812798*i**2 - 158301*i - 170 wrt i?
-733625596
Find the first derivative of -15767570*t**2 + 15386563.
-31535140*t
What is the third derivative of 2*l**5 + 6591*l**4 + 1882*l**3 - 182903994*l**2?
120*l**2 + 158184*l + 11292
Find the second derivative of z**3 - 185108564*z**2 - 5353*z + 12558.
6*z - 370217128
Find the third derivative of -2*d*n**3 - 1755*d*n**2 + 6*d*n - 3654959*n**3 + 45*n**2 wrt n.
-12*d - 21929754
Find the third derivative of -4489114*n**3 - 2786*n**2 + n - 4270.
-26934684
What is the derivative of 2*m**2 - 3360474*m + 121526?
4*m - 3360474
What is the first derivative of 1326181*c**2*f - 118117*c**2 - 20 wrt f?
1326181*c**2
Find the third derivative of -18382846*w**3 + 17268*w**2 - 16*w.
-110297076
What is the second derivative of 43*g**2*n**5 - 2004*g**2*n**3 + 1195854*g**2*n + 2*n wrt n?
860*g**2*n**3 - 12024*g**2*n
Find the second derivative of -1759*c**2*l**2 - 810*c**2 + 2*c*l**2 + 77*c*l - 2*l**2 + 4*l + 1191 wrt c.
-3518*l**2 - 1620
Find the second derivative of -2650525*x**3 + 360*x + 2984 wrt x.
-15903150*x
What is the first derivative of 288274686*d**2 - 573303014 wrt d?
576549372*d
Find the third derivative of -3636434*n**3 - 186*n**2 + 126589.
-21818604
Find the third derivative of 189117*h**5 + 3*h**2 + 8614*h - 18 wrt h.
11347020*h**2
Find the third derivative of 16906*h**3*q**3*s**3 + 2093*h**3*q**3 + 11503441*h**2*s**2 + 4*h*q**2*s**3 - 2*q**3 wrt h.
101436*q**3*s**3 + 12558*q**3
What is the derivative of -42*d**3 + 2*d**2 + 161*d + 13963570?
-126*d**2 + 4*d + 161
What is the first derivative of 151985665*x**4 - 3*x - 232068394?
607942660*x**3 - 3
Find the second derivative of -432*j**2*s**4 + 10*j**2*s - 2*j**2 + 4*j + 13999*s**4 + s - 3141 wrt s.
-5184*j**2*s**2 + 167988*s**2
Find the third derivative of 9*g**3*j**4 + 2*g**3 - 208150*g**2*j**4 - 6*g**2 + 7*g + 9*j**2 - 854*j wrt j.
216*g**3*j - 4995600*g**2*j
What is the derivative of 22765672*v**4 + v - 84467023?
91062688*v**3 + 1
Find the first derivative of -53*k**2*y - 868*k**2 + 2404384*k*y - 2269*k - 48 wrt y.
-53*k**2 + 2404384*k
What is the third derivative of -1706*h**4 + 2034*h**3 + 917*h**2 + 364*h + 4?
-40944*h + 12204
Find the second derivative of -351923*v**3 - 436*v**2 + 238663995*v.
-2111538*v - 872
Find the second derivative of 926*l**2*o + 63918*l**2 + 2*l*o + 721*l + 809*o + 56 wrt l.
1852*o + 127836
Find the second derivative of 919*q**2*r + 4126*q**2 + 3*q*r + 2*r - 11472 wrt q.
1838*r + 8252
Differentiate -117926459*k - 54118290 with respect to k.
-117926459
What is the derivative of 3288*a*c*o - 213*a*o + 208*c - 15413 wrt c?
3288*a*o + 208
What is the first derivative of 194433351*x + 123117908 wrt x?
194433351
What is the derivative of 3293073*v**2 + 7*v - 786021942 wrt v?
6586146*v + 7
Find the first derivative of 62371*j**4 - 5*j**3 - 7*j + 2015103 wrt j.
249484*j**3 - 15*j**2 - 7
Find the third derivative of 2617791*h**3*k**3 - 3076*h**3*k**2*s**3 + 2*h*k**3*s**3 + 15*k**2 + k*s**3 wrt k.
15706746*h**3 + 12*h*s**3
What is the second derivative of -353*j*x**3 + 7374*j*x + 111897*x**2 - 6292*x wrt x?
-2118*j*x + 223794
What is the second derivative of 63474666*j**2 - 21077*j + 267?
126949332
What is the derivative of 4499*y**2 - 70*y + 15596656?
8998*y - 70
What is the second derivative of -1102697087*b**5*p**3 - 281*b*p**3 - 3*b*p**2 - 7329*p**2 - 2*p + 6 wrt b?
-22053941740*b**3*p**3
What is the second derivative of -371426*h*o**3*u + 94*h*o**2*u**3 - 98*h*o*u**3 - 6300*o*u - 33*u**3 wrt o?
-2228556*h*o*u + 188*h*u**3
What is the second derivative of 822372077*g**2*p + 23*g*p + 181978*p + 10 wrt g?
1644744154*p
Find the second derivative of -3414137*l**2 - 21*l - 4400 wrt l.
-6828274
What is the third derivative of l*x**6 + 303125*l*x**3 + 17329*l*x**2 + 11*l + 3*x**2 wrt x?
120*l*x**3 + 1818750*l
Find the first derivative of p**3*q*u + 881285*p**3*u + 4257*p*q - p*u + 95*q*u + 2*q wrt q.
p**3*u + 4257*p + 95*u + 2
What is the second derivative of -1878774*z**4 + 3838637*z?
-22545288*z**2
Find the third derivative of -11*r**5 - 1849*r**4 - 8*r**3 + 16765181*r**2 wrt r.
-660*r**2 - 44376*r - 48
Differentiate -185*j**3 + 43724*j**2*y**3 + 21868297*y**3 with respect to j.
-555*j**2 + 87448*j*y**3
What is the first derivative of -4*c*d*h*x - 40*c*d*x - 9*c*x - 32*c - 235*d*h*x - 37*d*h + d - 10*h*x - 5*h wrt c?
-4*d*h*x - 40*d*x - 9*x - 32
Find the second derivative of 9759*a**2*l**3 - 543*a**2*l**2 + 12838*a**2 - 3*a*l**2 - 5268*a*l wrt l.
58554*a**2*l - 1086*a**2 - 6*a
What is the second derivative of -18409465*c**2 + 25523766*c wrt c?
-36818930
What is the third derivative of -14082391*a**3 + 2*a**2 + 14265*a + 40 wrt a?
-84494346
Find the first derivative of -44*a*r*z**3 + 715643*a*r*z**2 - 2*r*z**3 - 9052861*z**3 wrt a.
-44*r*z**3 + 715643*r*z**2
Differentiate -1294*l**3 + 2*l**2 - 1127*l + 5698800 with respect to l.
-3882*l**2 + 4*l - 1127
What is the third derivative of -88784569*j**4 + 168055065*j**2?
-2130829656*j
Differentiate 22247516*t + 26241476.
22247516
What is the second derivative of -5203*t**3 - 3093*t**2 + 2*t - 43453569?
-31218*t - 6186
Differentiate -1779*c**2*q + 4120*c**2 + 1878*c*q - 1758*c + q with respect to q.
-1779*c**2 + 1878*c + 1
What is the second derivative of -125*l**5*w + 2*l*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ v. What is the tens digit of q?
3
Suppose -5*g + 4*z + 4066 = 0, 2*g = -0*z + 5*z + 1640. What is the units digit of g?
0
Let z = 851 + -374. What is the hundreds digit of z?
4
Let g = -454 + 681. Suppose -x = 4*f - g, -233 = -x - f - 18. What is the hundreds digit of x?
2
Let l = 105 - -162. What is the tens digit of l?
6
Suppose 0 = -3*k + 5*x + 10, -2*k - 3*x = -18 - 14. What is the tens digit of k?
1
Suppose 0 = -8*f + 9833 + 2367. What is the thousands digit of f?
1
Let c be 1*-38 + -1 + 3/1. Let g = c - -45. What is the units digit of g?
9
Suppose -y = -5*y - 32. Let f = -9 - y. What is the units digit of 21 - f*(-2 - -3)?
2
What is the tens digit of (-5139)/(-21) + 30/105?
4
Let q = 106 + 34. Suppose -2*i = 2*i + q. Let s = 57 + i. What is the units digit of s?
2
Let h be (-3 + 1)*168/(-12). Suppose h = 3*p + p. Suppose 8*a = p*a + 19. What is the tens digit of a?
1
Suppose 3*i = -0*n - n + 10, 18 = 5*i + 3*n. Suppose 2*k - w = 34, 0*k = k - i*w - 12. Suppose -2*x + 8*x = k. What is the units digit of x?
3
Let g(q) be the third derivative of -q**4/24 + 13*q**3/6 + 5*q**2. Let d be g(9). Suppose d + 30 = y. What is the units digit of y?
4
Suppose -4*b = -12, -x + 3*b - 2*b = -6. Suppose -4*c = 5*m - 141, -x*c + 5*c + 41 = m. What is the units digit of m?
5
What is the tens digit of (-86)/(-20) + -4 + 9385/50?
8
Let h(g) = -11*g + 77. Let b be h(0). Suppose b = -9*y + 10*y. What is the tens digit of y?
7
Let d = -1739 - -3351. What is the units digit of d?
2
Suppose -o - 2*s = -4*o + 6719, 4*o = -4*s + 8992. What is the hundreds digit of o?
2
Let g(z) be the third derivative of -z**6/120 - 7*z**5/60 + z**4/8 - 7*z**3/6 - 3*z**2. Let w be g(-8). Let t = w - 22. What is the units digit of t?
1
Let n(a) = -a**2 - 8*a + 12. Let o be n(-9). Suppose -4*r = -o*r - 146. What is the hundreds digit of r?
1
Let g = -9 - -4. Let r(s) = s**2 + 3*s + 2. Let d be r(g). Let c(l) = l**2 - 11*l - 9. What is the units digit of c(d)?
3
Suppose b - 628 = 3*b. Let c = b - -575. What is the hundreds digit of c?
2
Let l be 1/((-12)/8)*-6. Suppose -3*i = 5*b - 278, 0*i - l*i + 394 = -5*b. What is the units digit of i?
6
Suppose -2 = -4*v + 3*v. Let n(g) = -13. Let i(u) = u - 39. Let m(x) = v*i(x) - 7*n(x). What is the units digit of m(17)?
7
Let l be 2/(-3) - (-60)/(-18). Let q = 20 + l. What is the tens digit of (q/(-5))/(6/(-105))?
5
Let d = -436 - -540. What is the tens digit of d?
0
Suppose 4*y = 960 + 3288. What is the tens digit of y?
6
Suppose -2*q = -2*j - 6224, -2*q + 8731 = -4*j + 2497. What is the units digit of q?
7
Suppose 2*w + 5 = 29. Let z = w + -12. Suppose -4*n + 159 - 63 = z. What is the units digit of n?
4
Let r(u) = -9*u - 61. Let v be r(-7). Let t be 0 + (0 - 0) + 1. Suppose v*h - h = t. What is the units digit of h?
1
Suppose 174 = -3*p + 66. What is the units digit of p/24*(-146)/3?
3
Let p(h) = 2*h - 8. Let z be p(5). Let d = -17 + z. What is the units digit of ((-5)/d)/(4/804)?
7
Let y = -13 - -15. Suppose y*b = -x + 136, -3*b + 63 = x - 139. What is the tens digit of b?
6
Let w(j) = -7*j**2 - j + 2. Let o be w(1). What is the tens digit of ((-276)/4)/(o/8)?
9
Suppose -56 + 8 = -r. Suppose -r*w = -51*w + 372. What is the tens digit of w?
2
Let s = -471 + 261. Let k = -149 - s. What is the tens digit of k?
6
Suppose -4*x + 5*y = -4860, -25*x + 20*x + 6075 = 4*y. What is the hundreds digit of x?
2
Suppose -2*y = -3*r + 5, -4*y + 0*r = r - 11. Suppose 12 = -y*c - 5*i, 0 = -3*c - 5*i - 7 - 1. Suppose -q + 21 = c. What is the tens digit of q?
1
Let t(x) = 2*x + 2. Let m be t(6). Let h be 4/(-14) - 10/m. What is the tens digit of h + 0 + 20*1?
1
Let y(w) = w**3 + w**2 + 2*w + 3. Let h be y(0). Suppose 0 = t + h*t - 60. What is the units digit of t?
5
Let g be ((-2)/1)/(1 + 0). Let u = 305 + -293. Let w = u + g. What is the tens digit of w?
1
Suppose 25*t + 23*t - 94032 = 0. What is the units digit of t?
9
Suppose -1 = -v + 400. What is the units digit of v?
1
Let x(s) = s**2 - 3*s - 1. Let j be x(4). Suppose -6*b = -j*b - 33. Suppose b = r + 3. What is the units digit of r?
8
Suppose 0 = 3*u - 2*g + 32, -7*u = -2*u + 5*g + 20. Let a = -16 + 5. Let k = u - a. What is the units digit of k?
3
Suppose -w = -31*h + 30*h - 1249, -5*h = -w + 1253. What is the thousands digit of w?
1
Suppose -6086 = -5*a - 2*f, 0*a - 4*f + 2428 = 2*a. What is the thousands digit of a?
1
Suppose 0 = -21*p + 62773 - 2671. What is the hundreds digit of p?
8
Let q(x) be the second derivative of 7*x**3/2 - 5*x**2 + 6*x. What is the units digit of q(3)?
3
Suppose 3*u = 5*u - 328. Let q = -97 + u. What is the tens digit of q?
6
Let w = 121 + -81. What is the units digit of ((-143)/(-22))/(2/w)?
0
Suppose -3*q = -3*g + q + 4, 5*q = -g - 24. Let x = 3 - g. What is the units digit of 44/x - (-30)/(-105)?
6
Suppose -6*z + 516 = -0*z. Let w = z + -174. Let o = -40 - w. What is the units digit of o?
8
Let c(d) = d - 11. Let i be (-616)/(-42) - (-4)/(-6). Let q be c(i). Suppose q*m + 0*m = 156. What is the tens digit of m?
5
Let z(r) = 22*r**3 + 4*r**2 + 2*r - 3. Let h be z(3). Suppose 4*a - 211 = h. What is the hundreds digit of a?
2
Let n(s) = 1 - 3*s - 2 + 13*s**2 - s**2 + 5. What is the tens digit of n(3)?
0
Let a = 3 - 6. Let t be a - (-1 - 1) - -6. Suppose -t*v + 48 = -2*v. What is the units digit of v?
6
Suppose 0 = 4*q - i - 2*i - 80, 0 = -i + 4. Suppose q*r = 22*r + 49. What is the tens digit of r?
4
Suppose 2 = -s, r + 3 = -4*s - 1. Let q(v) = 18 - 8 - r - 5*v + 14*v. What is the tens digit of q(6)?
6
Let j be (1 + (-26)/14)/((-2)/28). Suppose -82 = -z - j. What is the tens digit of z?
7
Suppose 2*b - 2*j - 868 = -7*j, -b - 4*j = -437. What is the hundreds digit of b?
4
Suppose 3908 = 29*b - 28775. What is the thousands digit of b?
1
Suppose -2*t + x + 193 = 0, 4*x - 546 = -4*t - 142. Let l = -51 + t. What is the tens digit of l?
4
Suppose -6*m = -3335 - 721. What is the hundreds digit of m?
6
Suppose 4*y = y + 9. Suppose 2*d - 65 = 3*b, 4*d + y*b - 105 = 4*b. Suppose q - 8 = d. What is the units digit of q?
3
Let m(y) = 27*y - 20. Let j be m(10). Let f = j - 179. What is the tens digit of f?
7
Let s be (1 + -2)/(1 + -1 + -1). What is the units digit of 12/(-66)*s - (-818)/22?
7
Suppose 2*h + 25 = -n, n + 3*h - 8*h + 53 = 0. What is the tens digit of (n/2)/(24/(-128))?
8
Let y = 251 - 32. What is the tens digit of y?
1
Let v be 0 - 15/(-6)*-2. Let r(w) = -16*w - 5. What is the units digit of r(v)?
5
Suppose 0 = -5*n + 3*c + 3, 0*c - 2*c = 2*n + 2. Suppose n = m + 3*g - 218, 5*g + 603 = 5*m - 527. What is the hundreds digit of m?
2
Let l = 12 + -10. Suppose -q = -l*q + 3. Suppose -86 = -q*r - 17. What is the tens digit of r?
2
Let s(g) = 2*g**2 + 11*g + 21. Let l be s(-4). What is the tens digit of 434/l - (-36)/(-162)?
4
Let c(i) = i**2 - 10*i + 18. Let s be c(8). Suppose 2*l + 3*q = 188, 0*l - s*q = -l + 108. What is the units digit of l?
0
Let u = -937 - -1494. Suppose u = 4*h + 149. What is the units digit of h?
2
Suppose -o + 0*o = 15. Suppose 78 = 5*h - 52. Let f = h + o. What is the tens digit of f?
1
Let w be 10/(-5) - ((-2 - -2) + -5). Suppose 180 = 2*n + w*d - 53, -d = -5*n + 574. What is the tens digit of n?
1
Let d(p) = -1152*p - 111. What is the hundreds digit of d(-3)?
3
Let c = 188 + 1274. What is the units digit of c?
2
Let j = 366 - 5. What is the units digit of j?
1
Suppose -18 = 8*l + 6. What is the units digit of (l - -6 - -53)/2?
8
Let v(d) = -2*d**3 - 5*d**2 + 19. Let s = 34 + -40. What is the hundreds digit of v(s)?
2
Let c(z) = 3*z**2 + z + 2. Let a be (-2)/7 + (-115)/(-35). Suppose 6 + 20 = 2*d - 4*i, -9 = 2*d + a*i. What is the tens digit of c(d)?
3
Let t(d) = d**2 - 2*d - 12. Let v be t(5). Suppose -v*f + 16 = -182. What is the units digit of f?
6
Suppose 0 = -2*z + 3*z - 4. Suppose z*j - 302 = 98. What is the units digit of j?
0
Let n be (-6 + 4)*98/4. Let g = n - -108. What is the tens digit of g?
5
Let c = 118 + -80. Let q = 123 + c. What is the units digit of q?
1
Let z = 12 + -9. Suppose z*h + 53 = -109. Let f = 97 + h. What is the units digit of f?
3
Suppose 7728 = 7*s + 5*s. Suppose -s = -5*n + 66. What is the tens digit of n?
4
Suppose w - 54 = 297. Suppose -4*g = -5*s - w, -6*g + 2*g - 4*s = -396. Suppose -4*d - 206 = -3*v, 5*v +
|
{
"pile_set_name": "DM Mathematics"
}
|
l. What is r rounded to two dps?
0.02
Let l = -2.2 + 11.4. Let m = -5.7 - l. Let w = m + 8.6. What is w rounded to zero decimal places?
-6
Suppose g - 2*g = -3, 4 = 5*h - 2*g. Suppose -288 = c + h*c. Let a be (c/(-10))/(12/(-86250)). What is a rounded to the nearest 10000?
-70000
Suppose 0 = 3*c - 3*u + 12, c - 3*u - 4 = -4*u. Round c to 6 dps.
0
Let g = 1.353 - 1.42. What is g rounded to two dps?
-0.07
Let t = -14 + 9. Let f = t + 7. Let c = f - 2.00000015. Round c to seven decimal places.
-0.0000002
Let d = 2 - 1.97. Let p = d + -0.03000003. Round p to 7 dps.
0
Suppose q = -4*i - 1072, 5*q - i = -4796 - 606. Round q to the nearest one hundred.
-1100
Let n = 51.63 - -0.37. Let a = -51.9927 + n. What is a rounded to three decimal places?
0.007
Let f be (1750 - 0)*(-46 - -2). Round f to the nearest 10000.
-80000
Let m = 24 + -37. Let x = 11076.062 - 11063. Let y = m + x. Round y to 2 dps.
0.06
Let x = 750 - 9732. Let z = x - -8985.0012. Let i = -3 + z. What is i rounded to 3 decimal places?
0.001
Suppose 4*x = -x + 1225. Suppose 2*k + 92 - 264 = -4*a, x = 5*a - 5*k. Let t = a + -14. Round t to the nearest ten.
30
Let n = 7079.16 - 7376. Let p = 280.833 + n. Let z = p + 16. Round z to three dps.
-0.007
Let f = -52 + 52.0113. Round f to 3 dps.
0.011
Let y be 9/(-3)*34/(-6). Let r be 2/(-1)*y*150. Round r to the nearest 1000.
-5000
Let a = -139.0861 - -112.08572. Let o = a + 27. Round o to 4 decimal places.
-0.0004
Let u(h) = -588890*h**2 + 4*h + 1. Let g(o) = 1766670*o**2 - 12*o - 2. Let a(c) = -3*g(c) - 8*u(c). Let k be a(3). What is k rounded to the nearest 1000000?
-5000000
Suppose -2*m = -7*m + 5. Let p(v) = -m + 0 + 4*v - 10*v - v**3 - 5*v**2. Let j be p(-6). Round j to the nearest 10.
70
Let m = 40.05 - 40. What is m rounded to 2 decimal places?
0.05
Let j = 9.3 - 9. Let o = -1407896.3000012 - -1407896. Let f = j + o. What is f rounded to 6 decimal places?
-0.000001
Let p = -83.9 + 76. What is p rounded to zero decimal places?
-8
Suppose 0*c - 2*c = 7680. Let d be (-375)/((-7684)/c - 2). Round d to the nearest 100000.
-400000
Let a = 66130396.9999915 + -66130414. Let t = a + 17. What is t rounded to 6 dps?
-0.000009
Let c = -0.2 + -0.1. Let t = c + 0.35. Let k = t + -0.04999916. What is k rounded to seven decimal places?
0.0000008
Let i = 3.13 - -0.07. Let s = i + -3.132. Round s to 2 decimal places.
0.07
Let x = -97.8 + 68.7. Round x to zero decimal places.
-29
Suppose -2*d + 9 = -5*c, 4*d = -c + 3*c + 10. Suppose f - 630 = d*f. Round f to the nearest 100.
-600
Let a = 0.01 - 0.03. Let z = a + 0.0204. What is z rounded to 3 dps?
0
Let h be (-3279992)/(0 - 2/3). Suppose -4*v - 4920003 = y, 2*y = 4*v - 2*y + h. What is v rounded to the nearest 100000?
-1200000
Let c(i) = 31*i - 8. Let t be c(8). What is t rounded to the nearest ten?
240
Let v be 3*(1/(-3) + 1). Suppose v*z = 5*z - 1650009. Suppose -r + q = r - 220001, -3*q - z = -5*r. Round r to the nearest 100000.
100000
Let q be (3/2)/(15/20). Suppose -4*m + 497 = 3*n, q*n = -n - 3. Let x be 8*-4300*(0 + m). What is x rounded to the nearest one million?
-4000000
Let v = -953.2 - -912.294. Let o = -0.094 + v. Let w = 41.33 + o. Round w to 1 decimal place.
0.3
Let h = -5.288 - -2666.288. Let w = h + -2661.01091. Let y = w - -0.01. Round y to 4 decimal places.
-0.0009
Let i = 4044246.00086 - 4044298. Let b = 52 + i. What is b rounded to four decimal places?
0.0009
Let r be 3/(-9) + 15/(-9). Let y = r - 53. What is y rounded to the nearest 10?
-60
Let d = -0.15 + 0.168. Let l = 5.182 + d. What is l rounded to the nearest integer?
5
Let v = -24132.86054 - -24199.86054058. Let p = 66.903 - -0.097. Let h = p - v. What is h rounded to seven dps?
-0.0000006
Let o = 12.828 + -13. Let r = -8.528 + o. Let s = r + 8.31. Round s to 1 dp.
-0.4
Let s = 0.0951182 - 91.0950792. Let b = 91 + s. What is b rounded to 5 dps?
0.00004
Let t = -17 - -24.2. Let a = 38.2 - t. Let m = -32.7 + a. What is m rounded to 0 decimal places?
-2
Let f = 47 - 46.67. Round f to 1 dp.
0.3
Let l(a) = -199*a**2 + 2*a + 1. Let s be l(9). Round s to the nearest 1000.
-16000
Let b = -1145696 - -65696. Round b to the nearest one hundred thousand.
-1100000
Let k = -213 + 213.93. What is k rounded to one decimal place?
0.9
Let h = 11.9 - -1.1. Let t = -4 + h. Let a = 1.5 - t. What is a rounded to 0 dps?
-8
Let q = -42177 - -27751. Let c = q - -14467.932. Let p = c + -42. Round p to 2 decimal places.
-0.07
Let q(f) = 3*f**2 - 6*f**2 + 8148*f**3 - 2*f - 1 + 2*f**2. Let j be q(-3). Round j to the nearest one hundred thousand.
-200000
Suppose -9 - 3 = -3*y. Suppose 9679 = y*l - 21921. Suppose -3*v = -2*v + l. What is v rounded to the nearest 1000?
-8000
Let r = -3102 + 1172. What is r rounded to the nearest one hundred?
-1900
Let u = -967312559.99999978 - -967312548. Let m = -12 - u. Round m to seven dps.
-0.0000002
Let w(f) = -14 - 16 + 30 + 120000*f. Let p be w(3). Round p to the nearest 100000.
400000
Let t(v) = 10626*v**2 + 3*v - 4. Suppose -12 = -2*s + 5*s. Let h be t(s). Round h to the nearest 100000.
200000
Suppose 5*t + 2*b = 7*b + 2040, 828 = 2*t + b. Round t to the nearest 10.
410
Let x = 0.06 + -0.04. Let q = x + -0.0200055. Round q to 6 decimal places.
-0.000006
Let l = 122.78 + -124. Round l to one decimal place.
-1.2
Suppose -8 + 0 = -4*w. Let s be (12 - 13)/((-2)/116). Suppose -s = -c + w*c. What is c rounded to the nearest ten?
-60
Let f = -2.43 - -2.4407. Let d = 3.99 + -4. Let l = d + f. Round l to 3 decimal places.
0.001
Let b = 12 + -11.92. Let n = b + -0.1. What is n rounded to 1 decimal place?
0
Let d be 49000/((3/1)/3). What is d rounded to the nearest 10000?
50000
Let v = -7 - -14. Let l(h) = -h**2 + h - 2. Let m be l(v). What is m rounded to the nearest ten?
-40
Let i = 16 - 16.62. Let n = 0.6171 + i. What is n rounded to three decimal places?
-0.003
Let k = 1261 - -269. Round k to the nearest 100.
1500
Let c = -38.5 - -54. Let r = c + -20. Round r to 0 dps.
-5
Let d(z) = -5*z + 4. Let a be d(3). Let f = a - -8. Let v be f + 2 + 2 + 2199999. What is v rounded to the nearest one million?
2000000
Let x = -144 + 143.9878. Round x to 3 decimal places.
-0.012
Let u = 27.978 - -0.022. Let y = u + -10. Let j = y + -17.999969. Round j to 5 decimal places.
0.00003
Suppose 10 - 2 = 2*v. Let m be v/(-14) - (-28000010)/35. What is m rounded to the nearest 100000?
800000
Let n be 0/1 + 3 + -1. Suppose n*o - 1288 = 472. Round o to the nearest one hundred.
900
Let m(c) be the first derivative of -c**2/2 + 530000*c + 6. Let h be m(0). Round h to the nearest one hundred thousand.
500000
Let m = 0.6827 - 0.643. Let r = m - 0.04. Let z = r - 0. Round z to four decimal places.
-0.0003
Suppose -2*w + 18440 + 2506 = p, 4*p + 3*w = 83779. Suppose -p = -3*t + 2*t. Let y = t + 87056. Round y to the nearest 10000.
110000
Let x = -11 - -29. Suppose -3*q = -6 - x. Suppose 3*l - q*l + 3*f - 21000000 = 0, 4*l + 4*f = -16800000. What is l rounded to the nearest 1000000?
-4000000
Let k = -3.124 + 0.024. Let n = k - 0.9. Let f = n - -4.0012. What is f rounded to 3 decimal places?
0.001
Let p = -166 + 167.82. Let x = -0.052 - 2.498. Let o = x + p. What is o rounded to one decimal place?
-0.7
Let j = -7 + 7.0011. Round j to three dps.
0.001
Let j(n) = -2*n + 1 - 1853*n**3 + 4*n**2 + 0*n - 3 + 3. Let a be j(3). What is a rounded to the nearest 10000?
-50000
Let v = 370 - 176. Let h = v - 173.6. Let x = 29 - h. What is x rounded to zero decimal places?
9
Let k = 28 + 20. Round k to the nearest 10.
50
Let s = -0.26 + 0.260011. Round s to 5 decimal places.
0.00001
Let i(c) be the third derivative of -c**5/60 + c**4/3 + c**3/6 - 5*c**2. Let z be i(6). What is z rounded to zero dps?
13
Let d = 125.000005 + -124.95. Let h = 0.05 - d. Round h to 6 dps.
-0.000005
Let y = 26 + -7. Let n = y - 18.9934. What is n rounded to three decimal places?
0.007
Suppose -24 - 4 = 4*b. Let z be (b/(-3) + 1)*1770. What is z rounded to the nearest one thousand?
6000
Let d = 0.065 + -0.064802. Round d to 5 dps.
0.0002
Let f = -3975748.93926698 + -0.06073302. Let x = 3975745.9999992 + f. Let h = x - -3. Round h to six dps.
-0.000001
Let z = -23 - -21. Let j(c) be the first derivative of 7100001*c**2/2 + 2*c - 1. Let v be j(z). Round v to the nearest 1000000.
-14000000
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from {k: 5, c: 2, d: 3, i: 2}. What is prob of sequence did?
1/110
Calculate prob of sequence qgqg when four letters picked without replacement from {q: 3, g: 2, s: 3}.
1/140
What is prob of sequence ww when two letters picked without replacement from wwwx?
1/2
Three letters picked without replacement from {i: 3, p: 7, k: 2, e: 3, b: 3}. What is prob of sequence iik?
1/408
Two letters picked without replacement from qgjbfjffqq. What is prob of sequence gj?
1/45
Calculate prob of sequence fvv when three letters picked without replacement from vfv.
1/3
Calculate prob of sequence mzz when three letters picked without replacement from mmmmmzmmzmmm.
1/66
What is prob of sequence ucw when three letters picked without replacement from ucpow?
1/60
Two letters picked without replacement from {r: 1, x: 1, p: 3, b: 7, k: 7, j: 1}. Give prob of sequence px.
3/380
Four letters picked without replacement from kkkkkkk. Give prob of sequence kkkk.
1
Four letters picked without replacement from {j: 3, t: 10, d: 2}. What is prob of sequence dttt?
4/91
Calculate prob of sequence yayo when four letters picked without replacement from yaoooaooyaoyo.
21/2860
What is prob of sequence mi when two letters picked without replacement from iijijmim?
1/7
What is prob of sequence wvee when four letters picked without replacement from {a: 2, w: 1, s: 1, v: 1, e: 2}?
1/420
Three letters picked without replacement from {z: 5, h: 3}. What is prob of sequence zzz?
5/28
What is prob of sequence igi when three letters picked without replacement from {i: 2, g: 1, u: 1, a: 1, m: 1, x: 2}?
1/168
What is prob of sequence sisn when four letters picked without replacement from {n: 4, i: 2, s: 2}?
1/105
Two letters picked without replacement from {b: 2, z: 11, k: 1}. What is prob of sequence bk?
1/91
Four letters picked without replacement from dddooddttdcco. Give prob of sequence ctdd.
1/143
What is prob of sequence mi when two letters picked without replacement from iimiiimm?
15/56
Four letters picked without replacement from eeeaeeeyeeeabhaebe. Give prob of sequence aahb.
1/6120
Two letters picked without replacement from icxcxxckcixkkixxix. Give prob of sequence ii.
2/51
What is prob of sequence wwoo when four letters picked without replacement from {o: 5, w: 2}?
1/21
What is prob of sequence rf when two letters picked without replacement from rrgfv?
1/10
What is prob of sequence oozd when four letters picked without replacement from ozzzoooozoood?
28/2145
Calculate prob of sequence jj when two letters picked without replacement from rjj.
1/3
Calculate prob of sequence bno when three letters picked without replacement from {b: 1, n: 2, u: 2, o: 1, f: 1}.
1/105
Two letters picked without replacement from ngxvxvggxgnxnxgxxnx. What is prob of sequence nn?
2/57
What is prob of sequence jjfj when four letters picked without replacement from jrfjrjk?
1/140
Three letters picked without replacement from wmomqwmmomwqwt. Give prob of sequence wmm.
10/273
Four letters picked without replacement from ylywlwwwawylywyywwly. What is prob of sequence yywa?
14/4845
Calculate prob of sequence ggeg when four letters picked without replacement from {f: 3, g: 3, e: 2}.
1/140
Four letters picked without replacement from eleoeoeoor. Give prob of sequence ooel.
1/105
What is prob of sequence dmnm when four letters picked without replacement from {d: 5, n: 2, m: 9}?
3/182
Calculate prob of sequence kh when two letters picked without replacement from {c: 1, k: 1, h: 1}.
1/6
Calculate prob of sequence yyw when three letters picked without replacement from {y: 5, w: 1, i: 3, l: 4, z: 5}.
5/1224
Four letters picked without replacement from {d: 1, z: 5, j: 3, u: 1}. What is prob of sequence zzdj?
1/84
Calculate prob of sequence mt when two letters picked without replacement from rcttmbbttbtb.
5/132
Calculate prob of sequence cc when two letters picked without replacement from cccccmcmcccchc.
55/91
Calculate prob of sequence ffzw when four letters picked without replacement from {a: 4, z: 2, f: 6, w: 1}.
1/286
What is prob of sequence xxwe when four letters picked without replacement from xxxeywe?
1/70
Calculate prob of sequence ss when two letters picked without replacement from msssmkssi.
5/18
What is prob of sequence zzc when three letters picked without replacement from pzczc?
1/15
Three letters picked without replacement from {u: 1, i: 3, m: 2, c: 1}. Give prob of sequence mmi.
1/35
Two letters picked without replacement from {q: 14, d: 5}. What is prob of sequence qq?
91/171
What is prob of sequence titb when four letters picked without replacement from {t: 4, k: 2, b: 8, i: 1}?
4/1365
What is prob of sequence dy when two letters picked without replacement from {y: 1, r: 4, o: 1, d: 2}?
1/28
Two letters picked without replacement from wwww. Give prob of sequence ww.
1
What is prob of sequence ej when two letters picked without replacement from {j: 2, c: 1, u: 2, e: 1}?
1/15
Four letters picked without replacement from ohhylhyhssohyhshssly. Give prob of sequence yoyy.
2/4845
Calculate prob of sequence ebsd when four letters picked without replacement from {b: 1, d: 1, s: 2, e: 2, c: 2, k: 1}.
1/756
What is prob of sequence rlr when three letters picked without replacement from llyylryryy?
1/120
What is prob of sequence dho when three letters picked without replacement from {t: 1, m: 1, o: 1, h: 1, d: 1}?
1/60
Calculate prob of sequence amhs when four letters picked without replacement from {m: 1, z: 4, h: 2, a: 3, s: 1}.
1/1320
Two letters picked without replacement from edldylluelyuhu. What is prob of sequence uh?
3/182
What is prob of sequence ghc when three letters picked without replacement from {c: 1, h: 1, k: 1, g: 1, u: 3}?
1/210
What is prob of sequence rp when two letters picked without replacement from {r: 1, h: 3, p: 3}?
1/14
Four letters picked without replacement from oioxiiiaqoisooqi. Give prob of sequence qaxi.
1/3640
What is prob of sequence hth when three letters picked without replacement from {c: 4, t: 6, h: 2}?
1/110
What is prob of sequence ooff when four letters picked without replacement from {z: 2, f: 12, m: 2, o: 4}?
22/1615
What is prob of sequence qx when two letters picked without replacement from {f: 2, x: 2, p: 4, w: 3, q: 2}?
1/39
What is prob of sequence be when two letters picked without replacement from {v: 1, i: 1, e: 1, n: 5, b: 4}?
1/33
Calculate prob of sequence kkk when three letters picked without replacement from skkkkkkk.
5/8
Calculate prob of sequence jj when two letters picked without replacement from hjhtthhtthhthjt.
1/105
Calculate prob of sequence qu when two letters picked without replacement from {e: 4, j: 1, r: 4, u: 7, q: 3, k: 1}.
21/380
What is prob of sequence oyoo when four letters picked without replacement from {o: 3, y: 4}?
1/35
Two letters picked without replacement from {b: 5, j: 2}. Give prob of sequence bj.
5/21
Calculate prob of sequence rm when two letters picked without replacement from {r: 2, m: 1, p: 1, l: 1}.
1/10
Four letters picked without replacement from {x: 1, b: 4, e: 1, s: 1, i: 3, d: 5}. What is prob of sequence xsei?
1/10920
Two letters picked without replacement from nzn. What is prob of sequence zn?
1/3
Calculate prob of sequence lvv when three letters picked without replacement from {l: 2, v: 2}.
1/6
What is prob of sequence lq when two letters picked without replacement from qlqllll?
5/21
Three letters picked without replacement from nnknnknnnnn. What is prob of sequence knk?
1/55
Two letters picked without replacement from {j: 1, w: 2, k: 1, t: 1}. What is prob of sequence jw?
1/10
What is prob of sequence ms when two letters picked without replacement from {f: 1, m: 1, s: 1, i: 1, q: 1}?
1/20
What is prob of sequence ip when two letters picked without replacement from ipspipispsssisisi?
3/34
Two letters picked without replacement from {o: 1, q: 1, f: 2, v: 1, s: 2, e: 1}. Give prob of sequence ff.
1/28
Three letters picked without replacement from zuzzuz. Give prob of sequence uzz.
1/5
Calculate prob of sequence jf when two letters picked without replacement from {j: 4, b: 9, f: 2, d: 1}.
1/30
Calculate prob of sequence dvii when four letters picked without replacement from vvdidvuvdki.
1/330
Three letters picked wi
|
{
"pile_set_name": "DM Mathematics"
}
|
is the units digit of f?
5
Let q(x) = x**3 - 19*x**2 + 5*x + 15. What is the units digit of q(19)?
0
Let l be (0/2 - -2) + -3. Let u = 5 + -14. What is the units digit of (6/u - l)*9?
3
Let k(r) = r**3 + 7*r**2 - r - 10. Let w be k(-7). Let u be (-850)/(-40) - w/4. Let m = u + -13. What is the units digit of m?
9
Let g be (10/(-6))/(4/(-12)). Suppose 4*a - 16 = -4*i + 20, -15 = -2*i - g*a. What is the units digit of i?
0
Let a(f) = 6*f + 51. Let d(t) = -t - 10. Let x(q) = -2*a(q) - 11*d(q). What is the units digit of x(3)?
5
Suppose 5*j - 81 = 179. What is the units digit of j?
2
Let s = 4 - 4. Suppose s = -r + 4*r - 42. What is the tens digit of r?
1
Suppose -28 = -2*y + 12. Suppose y = 3*n - 1. Suppose -n*f = -2*f - 75. What is the tens digit of f?
1
What is the units digit of 2*(1 + 31/2)?
3
Let h(t) = 2*t - 5*t - t**3 + 2*t**3 + 2*t**2 - 1 + 2. What is the units digit of h(-3)?
1
Let s(r) = -18*r - 31. What is the units digit of s(-7)?
5
Let p be 10/6 + (-2)/3. Suppose -3*f + p = 2*q, 5*q = -2*f - 11 - 3. What is the units digit of q/2*(-21)/6?
7
Suppose 2*w + 11 + 7 = 2*k, -k = -3*w - 7. Let s(q) = q - 6. What is the units digit of s(k)?
4
Let a(o) = o**3 - o**2 - o. Let s(l) = -4*l**3 + 6*l**2 + l. Let n(h) = -3*a(h) - s(h). Let i = 24 + -21. What is the units digit of n(i)?
6
Let t = 602 + -420. What is the units digit of t?
2
Suppose -2*h + 8 = -2. Suppose 3 + 22 = h*u. What is the units digit of u?
5
Suppose -3 = -5*t - q + 19, 14 = 2*t + 3*q. Suppose -t*u + 10 = 2*m - 0*m, -5*m + 41 = 2*u. What is the units digit of m?
9
Let k be (4/8)/(1/(-30)). Let f = k - -22. What is the units digit of 2/f + 248/14?
8
Let v(n) = -n - 9. Let d be v(-11). Suppose -5*l + 98 = 2*w, 11 = d*l - 3*w - 32. What is the tens digit of l?
2
Suppose -5*u + q + 13 = -3*q, 3*u + 4*q = 27. Suppose p + s = -3, 4*s + 5 + u = -5*p. Let j(r) = 4*r + 1. What is the units digit of j(p)?
9
Let r = -97 + 215. What is the units digit of r?
8
What is the tens digit of (-3)/4 - 51*(-3)/12?
1
Let l = 3 - -7. Suppose -o = o + y - 15, -o - y = -l. Suppose 65 = o*i - 0*g + 3*g, i + 3*g = 25. What is the units digit of i?
0
Let t(x) = 3*x**2 - 2. Let k(w) = -w**3 - 2*w**2 + 4*w + 1. Let q be k(-3). What is the tens digit of t(q)?
1
Let i(q) = 3*q + 0*q + 2*q - q. What is the units digit of i(1)?
4
Let w(j) = -3*j**3 - 2*j**2 - j - 2. Let q be w(-2). Let c be q*(3/6 - 0). Suppose 5*d = 2*f + 3 + 5, 4*d = c. What is the units digit of f?
1
Let v = 25 + -10. Let g = v + -1. What is the tens digit of g?
1
Suppose 484 = 2*f + 84. What is the units digit of f?
0
Let a(y) = 36*y**3 - 2*y**2 + 3*y - 1. What is the units digit of a(1)?
6
Let f = 7 - 5. Suppose f*o - 7 - 3 = 0. What is the units digit of o/2 + (-6)/12?
2
Suppose -3*i = 5*n - 3 + 6, -2*i - 3*n = 1. Let s be i/2 + (-2)/2. Suppose 5*u = 11 - s. What is the units digit of u?
2
Suppose -4*r = -r - 156. What is the units digit of r?
2
Suppose -7*d + 3*d = -20. Suppose 1 = -2*v + d. Suppose -r = -3*r - 2*f + 4, 0 = r - v*f - 14. What is the units digit of r?
6
Let r be 0/(2/1) - -4. Let f(q) = -q. Let d be f(r). What is the units digit of (-31)/(-4) + (-1)/d?
8
Let a(t) = t**2 + t - 5. What is the units digit of a(-4)?
7
Suppose -3*o - 2*w = 3*w + 107, 6 = 3*w. What is the tens digit of (o/(-6))/((-2)/(-8))?
2
Let m = 12 + -15. What is the units digit of (m/(-6))/(2/40)?
0
Suppose -t = -5*p + 135, 6*p - 115 = p - 3*t. What is the tens digit of p?
2
Suppose 0 = -z - z + 10. Suppose -q + z = 2. Suppose -3*y + 0*t = q*t - 36, -3*t = -y - 4. What is the units digit of y?
8
Let n(l) = l**3 + 12*l**2 - 2*l + 5. Let q(k) = -k**2 - k. Let i(f) = n(f) + 6*q(f). What is the tens digit of i(-7)?
1
Suppose 4*n + 36 = 4*l, 5*n + 55 = 2*l + 7. Let y = n + 22. What is the tens digit of y?
1
What is the units digit of -1 + 2*316/8?
8
What is the units digit of (2/4)/(4/(-16)) + 42?
0
Let f = 64 - -145. What is the hundreds digit of f?
2
Let j(h) = -h**3 - 11*h**2 - 14*h - 12. Suppose -q = 5*y - 10, 6*q = 2*q - 4*y - 24. What is the tens digit of j(q)?
2
Let n(d) be the second derivative of -d**4/12 + 3*d**3/2 - 9*d**2/2 + 4*d. What is the units digit of n(7)?
5
Suppose -d = 2*d - 327. What is the hundreds digit of d?
1
Suppose -2*y - 5 = -3*y. Suppose -3*i - y*r = -4*r - 310, -5*i - 4*r = -505. Suppose -v = -5*m + i, m = -v - 0*v + 27. What is the tens digit of m?
2
Suppose 11 + 2 = -5*m + 3*t, -2*t - 8 = 5*m. Let r(f) = 3*f**2 - 1. What is the units digit of r(m)?
1
Suppose 0 = 3*q - 212 + 23. What is the tens digit of q?
6
Suppose 3*k = -y + 113, -39 = -2*k - 2*y + 31. Let w = -25 + k. What is the units digit of w?
4
Let o(m) = -4*m - 2. Let f be o(-3). Let r = f + -17. Let g = -3 - r. What is the units digit of g?
4
Suppose -8 = -0*b - 4*b. Suppose -4*c + b + 14 = 0. Suppose 4*v - 3*r = v + 33, -2*v + 24 = -c*r. What is the units digit of v?
0
Let i = -37 + 76. What is the tens digit of i?
3
Suppose 3 = 5*z + 28. Let h = 16 + z. What is the tens digit of h?
1
Let m = 1 + 7. Suppose 2*f = 3*f - m. What is the units digit of f?
8
Let o(w) = 4*w**3 - 2*w**2 - w + 1. Let p = 16 + -14. What is the tens digit of o(p)?
2
Suppose 2*o = o - 5*q + 14, -3*o - 3*q = -90. Suppose 2 = -2*f + o. What is the tens digit of f?
1
Let s(a) = 8*a**2. What is the units digit of s(3)?
2
Let d = 15 + -13. Suppose -2*g + 32 = -w, 3*g - w = 52 - d. What is the tens digit of g?
1
Suppose 3*g + 5 = 23. Let t(k) = k**2 - 6*k + 1. Let b be t(g). What is the units digit of (-2 - -1)/((-1)/b)?
1
Let a = -89 - -124. Let q = 1 + 5. Suppose q*d = d + a. What is the units digit of d?
7
Suppose -3*n + 2 + 7 = 0. Suppose 1 = -n*y + 4. What is the units digit of (y - (3 - 1)) + 6?
5
Let l(o) = 10*o**2 + 4*o + 3. Let s be l(-2). What is the tens digit of 710/s + 2/(-7)?
2
Suppose 0 = -2*f + 15 - 7. Let y(g) = g**2 - 2. Let c(u) = 4*u**2 - u - 7. Let j(m) = 2*c(m) - 7*y(m). What is the units digit of j(f)?
8
Let c be (2 + -1)/((-2)/(-14)). Let h(v) = v - 5*v - 5 + 7*v. What is the units digit of h(c)?
6
Let z = 9 - -3. Let u = -13 - -7. Let r = z - u. What is the tens digit of r?
1
Suppose 0 = 5*i - 11 + 1. What is the tens digit of (i - 0)/((-2)/(-10))?
1
Suppose -2*r - 100 = -5*p, -5*r + 16 = -9. Let i be 53/(-5) - 4/10. Let s = i + p. What is the units digit of s?
1
Let c(l) = 6*l - 7. Let v be ((-5)/(-3))/(9/27). What is the units digit of c(v)?
3
Suppose -2*v = -3 - 9. Suppose 5*n = -5*b, -5*n + b + 30 = v. What is the units digit of n?
4
Let t be (3/9)/((-2)/6). What is the units digit of (-10)/(-6) + t/(-3)?
2
Suppose 2*w + 0*w = -5*k - 11, -5*k = -4*w + 53. Suppose -w + 27 = 5*n. Let a(x) = x**2 - 5*x + 5. What is the units digit of a(n)?
1
What is the units digit of ((-2)/4)/((-3)/12)?
2
What is the tens digit of (2 + 56/(-20))*-35?
2
Let t(q) be the first derivative of 35*q**4/4 - q**3/3 + 3*q**2/2 - 2*q - 1. What is the tens digit of t(1)?
3
What is the hundreds digit of (-92)/5*(-1 - 78/12)?
1
Let b = 1 - -2. Suppose -b = y - 2*y. Suppose -5*u - t + 4*t + 23 = 0, -u + y*t = 5. What is the units digit of u?
7
Suppose -5*j + 2 = -3*j. Suppose -25 = c + j. Let t = c + 36. What is the tens digit of t?
1
Suppose -5*d + 101 + 144 = 0. Let j = d - 32. Suppose 3*r - j - 6 = -4*c, 2*c - r = 9. What is the units digit of c?
5
Let y = -49 + 90. Suppose -3*b + 1 + y = 0. What is the tens digit of b?
1
Suppose -3*n + 48 = -4*k, 0*k = -k + 3. Suppose -5*t = -5*v - 62 + 162, -2*t - 2*v = n. What is the units digit of 21/(-2)*10/t?
7
Suppose 0 = 6*h + 13 - 43. What is the units digit of h?
5
Let n be (8/10)/((-5)/50). Let a = n - -14. What is the units digit of a?
6
Suppose 4*a - l - 751 = 0, 938 = 5*a - 0*l - l. What is the units digit of a?
7
Suppose -196 = -y - 2*l, -3*y + 251 = -2*l - 313. What is the hundreds digit of y?
1
Let q(h) = h + 6. Let z be q(0). Let w = z - 4. Suppose 2*y - 5*t + 3 = -2*y, w*t - 18 = -4*y. What is the units digit of y?
3
Let g(l) = l**2 - 3*l - 6. Let m(y) = -y**2 + 4. Let q be m(3). What is the units digit of g(q)?
4
Let l(g) = -3*g + g**2 + 13 - 9 - g. What is the units digit of l(4)?
4
Let f = 15 - 9. Let n = 5 + f. What is the tens digit of n?
1
Suppose 0 = -4*q - 13 + 37. Let o(p) = 3*p - 1. What is the units digit of o(q)?
7
Let s(x) = -5 + x
|
{
"pile_set_name": "DM Mathematics"
}
|
13*p + 57
What is the q'th term of 1943901, 3887761, 5831619, 7775475, 9719329?
-q**2 + 1943863*q + 39
What is the y'th term of -20641, -82454, -185197, -328642, -512561?
38*y**3 - 20693*y**2 + 14
What is the g'th term of 38371899, 153487583, 345347055, 613950315, 959297363?
38371894*g**2 + 2*g + 3
What is the l'th term of -3339, -2745, -1133, 2007, 7185, 14911, 25695?
85*l**3 - l**2 + 2*l - 3425
What is the m'th term of -55018, -220017, -495014, -880015, -1375026, -1980053?
-m**3 - 54993*m**2 - 13*m - 11
What is the m'th term of -56187, -112398, -168617, -224844, -281079, -337322?
-4*m**2 - 56199*m + 16
What is the p'th term of 327236, 654609, 981982, 1309355, 1636728?
327373*p - 137
What is the x'th term of 191659, 383295, 574931, 766567?
191636*x + 23
What is the l'th term of -154008, -616567, -1387500, -2466807, -3854488, -5550543, -7554972?
-154187*l**2 + 2*l + 177
What is the j'th term of -486199, -972368, -1458533, -1944694, -2430851, -2917004, -3403153?
2*j**2 - 486175*j - 26
What is the n'th term of -20218, -19848, -18844, -16888, -13662, -8848, -2128?
53*n**3 - n**2 + 2*n - 20272
What is the o'th term of 202, 383, 552, 721, 902, 1107, 1348?
2*o**3 - 18*o**2 + 221*o - 3
What is the w'th term of -469, -401, -309, -181, -5, 231?
2*w**3 + 54*w - 525
What is the k'th term of 119195044, 238390086, 357585128, 476780170?
119195042*k + 2
What is the u'th term of -70691, -561422, -1892225, -4483136, -8754191?
-70006*u**3 - 689*u + 4
What is the p'th term of -365, -844, -1399, -2030, -2737, -3520, -4379?
-38*p**2 - 365*p + 38
What is the j'th term of -18991846, -18991836, -18991826, -18991816, -18991806?
10*j - 18991856
What is the j'th term of -1931769, -1931700, -1931631, -1931562, -1931493?
69*j - 1931838
What is the o'th term of 1210, 3107, 6136, 10291, 15566, 21955?
-o**3 + 572*o**2 + 188*o + 451
What is the c'th term of -970, -3535, -8038, -14479, -22858, -33175, -45430?
-969*c**2 + 342*c - 343
What is the k'th term of -155499, -155790, -156081?
-291*k - 155208
What is the m'th term of -82245, -164318, -246391?
-82073*m - 172
What is the d'th term of 104638, 419686, 944770, 1679896, 2625070?
d**3 + 105012*d**2 + 5*d - 380
What is the k'th term of -540, -1395, -2264, -3141, -4020, -4895, -5760?
k**3 - 13*k**2 - 823*k + 295
What is the u'th term of -29327, -61949, -94571, -127193?
-32622*u + 3295
What is the s'th term of 1693046, 6774423, 15243392, 27099959, 42344130?
s**3 + 1693790*s**2 - 745
What is the l'th term of -327671, -327635, -327575, -327491, -327383, -327251, -327095?
12*l**2 - 327683
What is the r'th term of 300034, 300010, 299986, 299962, 299938?
-24*r + 300058
What is the l'th term of -312, -897, -1682, -2673, -3876?
-l**3 - 94*l**2 - 296*l + 79
What is the r'th term of 21217, 21292, 21403, 21550, 21733, 21952?
18*r**2 + 21*r + 21178
What is the q'th term of 21686, 88947, 201050, 357995, 559782, 806411?
22421*q**2 - 2*q - 733
What is the t'th term of 13838, 13099, 11872, 10163, 7978?
t**3 - 250*t**2 + 4*t + 14083
What is the f'th term of -8077, -8023, -7905, -7729, -7501?
-f**3 + 38*f**2 - 53*f - 8061
What is the u'th term of 2393, 9725, 21935, 39023, 60989, 87833, 119555?
2439*u**2 + 15*u - 61
What is the t'th term of -23464, -94395, -212786, -378637?
-23730*t**2 + 259*t + 7
What is the o'th term of 386049, 772183, 1158317, 1544451?
386134*o - 85
What is the j'th term of -5719, -7099, -8479, -9859, -11239?
-1380*j - 4339
What is the i'th term of 28827, 64752, 100675, 136596?
-i**2 + 35928*i - 7100
What is the x'th term of -19893526, -19893523, -19893520?
3*x - 19893529
What is the p'th term of -130022258, -260044515, -390066772?
-130022257*p - 1
What is the r'th term of 3167942, 3167809, 3167676?
-133*r + 3168075
What is the r'th term of 787921, 1575857, 2363809, 3151777, 3939761, 4727761?
8*r**2 + 787912*r + 1
What is the m'th term of 62713, 125090, 187467, 249844, 312221, 374598?
62377*m + 336
What is the v'th term of -7298, -29190, -65698, -116840, -182634, -263098, -358250?
-3*v**3 - 7290*v**2 - v - 4
What is the v'th term of 5506597, 5506597, 5506599, 5506603, 5506609, 5506617?
v**2 - 3*v + 5506599
What is the k'th term of 173054, 346418, 519782?
173364*k - 310
What is the t'th term of -10331, -40847, -91711, -162923?
-10174*t**2 + 6*t - 163
What is the f'th term of 59419, 237641, 534665, 950485, 1485095, 2138489?
-f**3 + 59407*f**2 + 8*f + 5
What is the l'th term of -19019818, -38039639, -57059460, -76079281, -95099102?
-19019821*l + 3
What is the n'th term of -11184, -20202, -29220, -38238?
-9018*n - 2166
What is the m'th term of -14600, -21865, -29130, -36395, -43660?
-7265*m - 7335
What is the s'th term of -1461, -2533, -3207, -3477, -3337, -2781, -1803, -397?
s**3 + 193*s**2 - 1658*s + 3
What is the r'th term of -2267298, -9069281, -20405924, -36277227, -56683190, -81623813?
-2267330*r**2 + 7*r + 25
What is the y'th term of -79767, -159604, -239443, -319284, -399127, -478972?
-y**2 - 79834*y + 68
What is the v'th term of -9053, -20674, -32299, -43928, -55561, -67198?
-2*v**2 - 11615*v + 2564
What is the y'th term of 947614, 1895329, 2843044, 3790759, 4738474?
947715*y - 101
What is the o'th term of 377, 1768, 4197, 7664, 12169?
519*o**2 - 166*o + 24
What is the t'th term of 706542, 1414070, 2121596, 2829120, 3536642, 4244162?
-t**2 + 707531*t - 988
What is the j'th term of 432125, 432035, 431945, 431855?
-90*j + 432215
What is the r'th term of -127293, -254575, -381857?
-127282*r - 11
What is the m'th term of -1111, -2114, -3033, -3886, -4691?
-3*m**3 + 60*m**2 - 1162*m - 6
What is the g'th term of -18595, -38585, -58575, -78565?
-19990*g + 1395
What is the q'th term of -1374, -3640, -7718, -14514, -24934, -39884, -60270?
-151*q**3 - 1209*q - 14
What is the w'th term of -10597, -21015, -31289, -41425, -51429?
-w**3 + 78*w**2 - 10645*w - 29
What is the m'th term of -402369, -402377, -402375, -402357, -402317, -402249, -402147?
m**3 - m**2 - 12*m - 402357
What is the y'th term of 3192, 13247, 30042, 53571, 83828, 120807, 164502?
-y**3 + 3376*y**2 - 66*y - 117
What is the o'th term of -5886, -11762, -17638, -23514, -29390, -35266?
-5876*o - 10
What is the o'th term of -935819654, -935819655, -935819656, -935819657, -935819658?
-o - 935819653
What is the r'th term of -10643, -85337, -288061, -682829, -1333655?
-10669*r**3 - r**2 - 8*r + 35
What is the t'th term of 10278, 10312, 10414, 10620, 10966, 11488?
6*t**3 - 2*t**2 - 2*t + 10276
What is the h'th term of -13798, -12925, -12052, -11179?
873*h - 14671
What is the f'th term of -90, 131, 352, 573, 794?
221*f - 311
What is the u'th term of -44350, -44196, -43786, -42994, -41694, -39760, -37066, -33486?
21*u**3 + 2*u**2 + u - 44374
What is the r'th term of -11536529, -92292200, -311486161, -738337556, -1442065529, -2491889224?
-11536524*r**3 - r**2 - 4
What is the q'th term of 54121, 54085, 54053, 54025?
2*q**2 - 42*q + 54161
What is the i'th term of 39918998, 79837996, 119756994, 159675992, 199594990?
39918998*i
What is the p'th term of 21042, 21026, 20982, 20892, 20738, 20502, 20166?
-3*p**3 + 4*p**2 - 7*p + 21048
What is the z'th term of -11418035, -11418032, -11418029, -11418026?
3*z - 11418038
What is the c'th term of 4826, 9721, 14682, 19703, 24778, 29901, 35066, 40267?
-c**3 + 39*c**2 + 4785*c + 3
What is the u'th term of -32364, -70338, -108312?
-37974*u + 5610
What is the v'th term of -330, -872, -1416, -1962, -2510?
-v**2 - 539*v + 210
What is the v'th term of -6417, -18145, -29873, -41601, -53329, -65057?
-11728*v + 5311
What is the p'th term of 929978, 1859975, 2789972, 3719969?
929997*p - 19
What is the b'th term of 31106, 62197, 93268, 124319, 155350?
-10*b**2 + 31121*b - 5
What is the b'th term of 1751, 13773, 46361, 109781, 214299, 370181?
1711*b**3 + 17*b**2 - 6*b + 29
What is the r'th term of 90534, 181099, 271652, 362187, 452698, 543179?
-r**3 + 90572*r - 37
What is the t'th term of -7878, -24548, -52332, -91230, -141242?
-5557*t**2 + t - 2322
What is the k'th term of -65818, -65332, -64846, -64360?
486*k - 66304
What is the y'th term of -1485, -2648, -3823, -5010, -6209, -7420?
-6*y**2 - 1145*y - 334
What is the q'th term of -9477245, -18954490, -28431735, -37908980, -47386225, -56863470?
-9477245*q
What is the l'th term of -21449, -21481, -215
|
{
"pile_set_name": "DM Mathematics"
}
|
6*k
Let u(a) = a**3 + a + 49. Suppose 0*h + 3*h = 0. Let y be u(h). Differentiate -15*t**3 - 26*t**3 - 6 + y*t**3 wrt t.
24*t**2
What is the third derivative of -1612*b**4 + 30*b + 18*b - 70*b + 21*b + 311*b**2 - 7719*b**4 wrt b?
-223944*b
Let s = -764 + 768. Let o(u) be the first derivative of 0*u**2 - 5*u**3 + 0*u - 9/2*u**s + 8. What is the third derivative of o(q) wrt q?
-108
Let b(s) be the second derivative of -112*s**6/5 - 25*s**2 - 431*s. What is the first derivative of b(w) wrt w?
-2688*w**3
Let i(s) = -12329*s**2 - 126*s + 1276. Let a(q) = 16439*q**2 + 164*q - 1702. Let f(p) = 10*a(p) + 13*i(p). What is the second derivative of f(g) wrt g?
8226
Let q be (-4 - -987 - -1) + 5. What is the second derivative of 2*u**2 + q*u - 2*u**2 - 905*u + 22*u**5 wrt u?
440*u**3
Let b(y) = y**2 + 10*y + 20. Let m be b(-8). Find the third derivative of -3*h**6 - 3*h**3 + m*h**3 - 88*h**2 + 89*h**2 - 23 wrt h.
-360*h**3 + 6
Suppose 7*c - 57 = 4*c. Suppose 0 = 2*k - 11 - c. Find the third derivative of 0*u**5 + 3*u**5 - k*u**5 - 3*u**2 + 19*u**2 wrt u.
-720*u**2
Let r = 515 - 514. What is the third derivative of r - 9*p**3 + 1 - 7*p**4 - 260*p**2 - 2 + 8*p**3 wrt p?
-168*p - 6
Let a(v) be the third derivative of 1675*v**4/24 - 100*v**3/3 - 92*v**2 + 6*v. Differentiate a(y) wrt y.
1675
What is the third derivative of 47*y**3 - 31*y**3 - 3*y**4 - 81 - 16*y**2 + 8*y**3 wrt y?
-72*y + 144
Suppose 2*q = 19 + 9. Let s be 24/q - 2/14*-2. What is the third derivative of 10*o**2 + 18*o**s - 3*o**6 + 8*o**2 wrt o?
-360*o**3
Let l be ((-5)/3 + (-848)/(-159))*4/22. Let m(q) be the first derivative of 20 + 3/2*q**2 - 7/4*q**4 - l*q**3 + 0*q. Find the third derivative of m(t) wrt t.
-42
Let f(p) be the first derivative of -159*p**4 - 883*p + 1145. What is the first derivative of f(t) wrt t?
-1908*t**2
Let r(m) = -m**2 - 21*m - 36. Let j be r(-19). Suppose -4*y + 0*y + 16 = -2*k, -5*y = -j*k - 20. What is the first derivative of -17 + 15 - y + 6*p - 14 wrt p?
6
Let r(j) = -249*j**2 - 3*j - 433. Let z(b) = -2238*b**2 - 26*b - 3898. Let c(w) = 52*r(w) - 6*z(w). Differentiate c(s) wrt s.
960*s
Let u be 3/(-6)*(2 - -100)/(-3). Let y = -36 - -110. What is the derivative of -156 + 0*j + 71 + y + u*j wrt j?
17
Find the third derivative of 1 + 46*z**2 - 128*z**4 + 3*z**5 - 124*z**4 - 4*z**2 - 3 + 12*z**2 wrt z.
180*z**2 - 6048*z
Let y be (-16)/(-10)*(20/8 + 0). Suppose 42*w - y = 40*w. What is the third derivative of -9*u**w - 6*u**2 + 3*u**6 - 7*u**2 + 3*u**2 wrt u?
360*u**3
Let m(v) be the first derivative of -2856*v**4 - 402*v**3 + v**2/2 + 9011. Find the third derivative of m(g) wrt g.
-68544
Let g(a) = 4*a - 2. Let p be g(8). Let w = -28 + p. What is the second derivative of 11*x + w*x - x + 10*x**2 wrt x?
20
Let r = 211 - 209. Differentiate 36 - 71 - 2*m + 0*m**3 - r*m**3 - 66 wrt m.
-6*m**2 - 2
Let p(j) = -393*j**4 - 6*j**2 + 6*j - 650. Let i(l) = -l**2 + l + 1. Let w(d) = 6*i(d) - p(d). What is the first derivative of w(h) wrt h?
1572*h**3
Let r(g) be the second derivative of 2015*g**7/42 - 293*g**4/12 - 5*g - 11. Find the third derivative of r(t) wrt t.
120900*t**2
What is the second derivative of 18 + 4*w**2 + 18*w**3 + 53*w - 159 - 50*w - 6 + 0*w**2 wrt w?
108*w + 8
Suppose 0 = 130*k - 128*k - 4. Find the third derivative of -230*l + 230*l - k*l**5 - 8*l**2 + 44*l**4 wrt l.
-120*l**2 + 1056*l
Suppose -3*a = -2*a - 4*j - 11, -2*a = 4*j + 2. Suppose -a*g + 6 = -2*g. Find the second derivative of 2*x**2 - g*x + 19*x**2 + 10*x**2 - 7*x**2 wrt x.
48
Let x(g) be the second derivative of -3/2*g**5 + 0*g**4 + 0 + 0*g**3 - 35/2*g**2 - 43*g. What is the first derivative of x(i) wrt i?
-90*i**2
Let y(a) be the second derivative of 373*a**4/12 + 78*a**2 + 6*a + 102. Find the first derivative of y(d) wrt d.
746*d
Let m be 61 + (-3 - (-15)/3). What is the derivative of -83*d - m - 13 + 92 + 131 wrt d?
-83
Let y(t) = 9*t**2 - 25*t - 97. Let k be y(-3). Find the third derivative of k*d**4 + 0*d**5 + 67*d**4 + 2*d**5 - 125*d**4 - 105*d**2 wrt d.
120*d**2 + 24*d
Suppose 10*k - 11 - 16 + 7 = 0. Let x(m) be the second derivative of 0 - 10/3*m**3 + m + 7/2*m**k. What is the derivative of x(f) wrt f?
-20
Differentiate 5302 + 60*j - 11*j**2 - 2427 - 2574 with respect to j.
-22*j + 60
Let i(x) be the first derivative of 1719*x**4/4 - 707*x + 1402. What is the derivative of i(v) wrt v?
5157*v**2
Let g(l) be the second derivative of 3/10*l**6 + 2*l - 6 - 1/20*l**5 - 5/6*l**3 + 0*l**2 + 3/2*l**4. Find the third derivative of g(p) wrt p.
216*p - 6
Find the third derivative of -36*w**3 - 1407*w**5 + 36*w**3 + 1514*w**2 + 1290*w**2 wrt w.
-84420*w**2
Let w(j) be the first derivative of -3989*j**4/2 + 2*j**3/3 - 741*j**2/2 + 6925. Find the third derivative of w(a) wrt a.
-47868
What is the third derivative of -2059*y**2 - 242*y**3 - 6149*y**3 + 553*y**2 - 5991*y**2 wrt y?
-38346
Differentiate -2377*q + 3073*q + 11593 + 10863*q wrt q.
11559
Let y(c) be the second derivative of 94*c**2 + 92/3*c**3 + 0 - 6*c. Differentiate y(h) wrt h.
184
Find the second derivative of -111*i**2 + 601*i**2 + 14*i + 8*i - 2 + 28*i wrt i.
980
Let f(k) be the second derivative of 1564*k**6/15 - k**4/6 - 5*k**3/6 + 25*k**2 - 34*k + 14. Find the third derivative of f(t) wrt t.
75072*t
Let a = 49 - 43. Suppose 0 = -5*j + 26 - a. Let o(c) = 13*c + 15. Let m(v) = -13*v - 16. Let s(t) = j*m(t) + 5*o(t). Differentiate s(z) with respect to z.
13
Let g(b) = 4*b + 40. Let m be g(0). Suppose 35*j - m*j = -20. Find the third derivative of -9*t**j - 4*t**2 + 11*t**5 + 9*t**4 wrt t.
660*t**2
Let d = -3053/4 - -9167/12. Let h(g) be the second derivative of d*g**3 + 12*g - 13*g**2 + 0. What is the derivative of h(y) wrt y?
4
Let x(y) be the first derivative of -377*y**4/2 + 88*y**3 - 748. Find the third derivative of x(u) wrt u.
-4524
What is the second derivative of 4*l**3 + 2948*l + 211*l**5 - 1007562*l**2 + 1007562*l**2 wrt l?
4220*l**3 + 24*l
Suppose -13796 = 38*g - 14062. Let h(b) be the second derivative of 0*b**2 + 0*b**4 - 21/10*b**5 + 44*b + g*b**3 + 0. Find the second derivative of h(o) wrt o.
-252*o
Suppose 357 + 3 = 3*a. Let d = 125 - a. Find the second derivative of 12 - 12 + 2*k**d - 5*k**5 - 36*k wrt k.
-60*k**3
Let r(c) = 82*c - 1. Let n(o) = -8172*o + 20. Let j(y) = n(y) - 28*r(y). What is the first derivative of j(x) wrt x?
-10468
Let f = -86 - -4. Let i = -57 - f. Differentiate i + 0*w - 27 + 0*w + 21*w**3 wrt w.
63*w**2
What is the derivative of -1860*s - 530*s + 1153 + 715*s - 111 + 221 wrt s?
-1675
Let x(z) be the second derivative of 23/3*z**4 - 66*z - 2/3*z**3 + 0*z**2 + 0. Find the second derivative of x(p) wrt p.
184
Let i(q) be the second derivative of -q**4/4 - 233*q**3/6 - 130*q**2 - q + 253. What is the first derivative of i(m) wrt m?
-6*m - 233
Let h = 82 + -65. Find the third derivative of 4*b**2 + h*b**2 - 10*b**3 - 68*b**3 - 5*b**2 wrt b.
-468
Suppose -4*t = k + 2, -7*t = -2*k - 11*t. Find the third derivative of -12*d**k + 1303*d - 81*d**3 - 1303*d - 57*d**2 wrt d.
-486
Let k(m) = -2*m - 33. Let y be k(-18). Find the second derivative of -44*c**4 - 6 - 4*c + y*c - 3*c**2 + 37*c**4 wrt c.
-84*c**2 - 6
Suppose -4*t - 1760 = -2*n - 2*t, -n + 883 = -2*t. Find the third derivative of 0*g**5 + 4*g**2 + 0*g**5 + 2*g**5 + 867 - 81*g**3 - n wrt g.
120*g**2 - 486
Let c(f) = 5037*f**3 + 5494*f**2 - 6*f - 6. Let l(p) = 5039*p**3 + 5503*p**2 - 5*p - 5. Let k(g) = -5*c(g) + 6*l(g). Find the third derivative of k(h) wrt h.
30294
Let j(b) = 27876*b**2 + 46*b + 16261. Let m(i) = 9292*i**2 + 16*i + 5424. Let w(c) = 8*j(c) - 23*m(c). What is the derivative of w(p) wrt p?
18584*p
Suppose -382*d = -374*d - 32. Differentiate -38*t**4 + 61 + 0*t**d - 159 - 155 with respect to t.
-152*t**3
What is the second derivative of -3677 - 5952*n**4 + 2*n + 5*n**2 + 0*n**5 + 5998*n**4 + 439 + 3*n**5 wrt n?
60*n**3 + 552*n**2 + 10
Let q(u) = 4*u - 30. Let l be q(8). Suppose -5*i = a + 5 - 50, -l*i + 18 = 3*a. Find the third derivative of i*g**3 + 4*g**3 + g**3 + 31*g**2 wrt g.
84
Suppose -14*x = -1 - 27. Suppose 0 + 2 = t. What is the derivative of -2*s**x - 9 - 17*s**4 - 8 + 2*s**t wrt s?
-68*s**3
Let q(v) be the first derivative of 0*v - 21*v + 5*v**2 + 43 + 138 - 39 + 7*v**2. What is the derivative of q(o) wrt o?
24
Let h(x) b
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{
"pile_set_name": "DM Mathematics"
}
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+ 10 = 9*r. Suppose 2*x - 210 = -3*x. Let g = x - 30. Calculate the smallest common multiple of g and r.
12
Let m be 7/(-28) + 439/(-4). Let i be (-2)/(-8) + 125/(-20). What is the lowest common multiple of (-4)/i + m/(-15) and 12?
24
Suppose 0 = 4*a + a - 50. Suppose -6*w = -w. Suppose -2*l + w*l = -20. What is the least common multiple of a and l?
10
Suppose 3*n - 8*n + 440 = 0. Calculate the smallest common multiple of n and 12.
264
Let g = 7 - -13. Calculate the common denominator of 0/(-2) + (-195)/g and -47/2.
4
Suppose -x = 6 - 38. Suppose -3*h = h - x. What is the smallest common multiple of 6 and h?
24
Calculate the common denominator of 22/9 and 505/(-4)*(-16)/120.
18
Let t(l) = l + 5. Let x be t(-4). What is the common denominator of (x + 28/(-6))/2 and (-1)/5 + 1415/(-50)?
6
What is the smallest common multiple of 10 and (-6)/(-15) + -53*1/(-5)?
110
Let n = 27221/22 - 1241. What is the common denominator of 5/2 and n?
22
Suppose 2*i + 2*o + 168 = -i, -4*i - 2*o = 224. Let g be (-4)/(80/(-94))*i. Let p = g + 21451/80. Find the common denominator of p and 3/4.
16
Calculate the common denominator of 43/3 and -4 + 2 - (-5)/(90/393).
6
Suppose 3*o = 8*o - 385. Calculate the lowest common multiple of 10 and (22/o)/(1/7).
10
Let s be 2/(-5) - 22/(-5). Suppose -2*l + 4 = -6. Calculate the lowest common multiple of 16 and 1 + s/(4/l).
48
Let j(k) = -k - 4. Suppose z + 14 - 2 = 0. Calculate the least common multiple of j(z) and 12.
24
Let z = 44213/4 - 486965/44. Let l = z - -62/11. What is the common denominator of -41/8 and l?
8
Let k = -6983/4 - -1737. Let p = 15065/4 + -3746. What is the common denominator of p and k?
4
Find the common denominator of -41/17 and 2 + 51*2/(-8).
68
Let h = 6 + -3. Let d be 4/6 - 2/h. Let k = d - -2. What is the smallest common multiple of k and 8?
8
Let a be (-12)/(-32)*(-28004)/(-9). Let c = -1172 + a. Calculate the common denominator of c and 50.
6
Let i(n) = n**2 + 5*n + 2. What is the lowest common multiple of i(-5) and 3?
6
What is the common denominator of (-6)/4*284/(-18) and -51/5?
15
Let v(q) = 622*q**2 + 3*q + 3. Let o be v(-2). What is the common denominator of o/(-56)*4/(-10) and -4/9?
36
Let i = -1/1329 + -13729/5316. Let j be 300/(-8)*(-4)/5. Calculate the common denominator of ((-166)/j)/(12/10) and i.
36
Let k be (12/9)/((-3)/423). Calculate the common denominator of -83/14 and (2/4)/((-32)/k).
112
Suppose 0 = -a - 2*s + 9, -4*a + 2*a = 3*s - 16. Let k(d) = d**3 - 5*d**2 + d. What is the smallest common multiple of k(a) and 3?
15
What is the lowest common multiple of 6 and (-57)/(-2) + -3 - (-6)/(-4)?
24
Let t be ((-56)/12)/(4/54). Let i = -947/2 - -465. Calculate the common denominator of 224/t + (-4)/2 and i.
18
Suppose 0*o = -2*q - 2*o - 8, 0 = 2*q - 2*o + 28. Suppose -4*b = -9*b + 610. Find the common denominator of q/6*b/(-6) and -93/10.
10
Suppose -3*d + 22 = -38. Calculate the smallest common multiple of d and (-41)/(-2) - (-1)/(-2).
20
Let f be (-2)/(1/((-2)/4)). Calculate the common denominator of 39/(-66) - (f + 1) and 362/56 + (-24)/(-84).
44
Suppose -2*o - 2*o + 4 = 0. Let t = 2 + -4. Calculate the least common multiple of 20 and 20 - (4 + t/o).
180
Let u be 37212/39 - (-4)/(-26). Find the common denominator of 67/18 and (-8)/28 + u/(-140).
90
Let a = 40 + -26. Suppose 3*p - 12 = 24. Calculate the smallest common multiple of a and p.
84
Let h(k) be the third derivative of k**5/60 - k**4/2 + k**3/3 - 4*k**2. Calculate the lowest common multiple of 9 and h(12).
18
Let l = -1826 - -20137/11. Calculate the common denominator of 40/6*(-10)/4 and l.
33
Let j = -2533468486/7921 + 319842. Let q be -3 + 1 - 768385/95052. Let n = q - j. What is the common denominator of -37/8 and n?
24
Suppose a + 3*a = 32. Suppose 3*q = -18 + 66. Let r = q - a. Calculate the smallest common multiple of r and 5.
40
Let v(r) = -4*r. Let t(h) = -3*h. Let p(l) = -3*t(l) + 2*v(l). Let a be p(-1). Calculate the smallest common multiple of ((-1)/1 + -2)/a and 2.
6
Let a = 150 - 219/2. Calculate the common denominator of 270/56 + (-2)/(-8) and a.
14
Let y = -186 + 413/2. Find the common denominator of 62/9 and y.
18
Find the common denominator of ((-9)/6)/((-3)/22*-2) and -9/14.
14
Let l(f) = -26*f**3 + f**2 - 1. Let p be l(-1). Let u = p + -15. What is the smallest common multiple of -1*(-2 + -10 + 1) and u?
11
Suppose -2*v + 5*l + 73 = 0, -8*l + 74 = v - 3*l. Suppose -3*w - 5*t + v = w, 0 = -2*w + 4*t + 18. What is the least common multiple of w and 4?
44
Calculate the common denominator of (-1)/2*59/(-4) and 109/12.
24
Let m(j) = 2*j**3 - 17*j**2 - 7*j - 9. What is the smallest common multiple of m(9) and 10?
90
Let n = -4 - -7. What is the common denominator of (582/(-8))/n*1 and -145/6?
12
Suppose -13*h = -h - 108. What is the lowest common multiple of 6 and h?
18
Let k be -1 - (-299)/(-2 + 1). Let y = -324/4003 - -19159539/64048. Let p = y + k. Calculate the common denominator of p and -95/14.
112
Suppose c = -5*t - 0*c + 47, 2*t - 5*c - 35 = 0. Calculate the least common multiple of 14 and t.
70
Let f be 186/(-9)*6/(-4). Suppose -2*j - f = -5*o - 10, -4*j - 4*o = 0. What is the common denominator of (j - 0)*164/72 and -49/16?
48
Let u be 1 + 1 + (3 - -1). Calculate the smallest common multiple of 8 and (-1)/(-2)*u*3.
72
Suppose 3*n - 10 = 8. What is the lowest common multiple of n and 22?
66
Let s be -2 + 14/2 - -3. Let t be (-1)/(-3) + (-2)/6. Suppose h - s = -t*h. Calculate the least common multiple of h and 5.
40
Let y = 6/749 - 2459/293608. Let x = -100151/13720 + y. What is the common denominator of x and 81/4?
20
Suppose -4*o = 5*b - 41, 2*b - b - 5*o = -15. Suppose 4*u - 13 = -3*r, -3*u + 4*r + 17 = 1. Calculate the least common multiple of u and b.
20
Let u be 4/(-22) + 26280/(-1265). Let d = 13019/506 + u. Calculate the common denominator of d and 7/6.
66
Let q be (-1)/(-2)*(-168)/90. Let d = -44/65 + 1/13. Let c = d - q. Calculate the common denominator of c and -67/8.
24
Suppose 5*w + 71 = -64. Find the common denominator of (-4)/(-6) - (-226)/24 and -1 + w/(-24)*-6.
12
Let d(c) = c**3 + 11*c**2 - 2*c - 15. Calculate the lowest common multiple of d(-11) and 1.
7
Suppose -4*y - 4*t - 35 = y, 0 = 3*t. What is the least common multiple of 2 and (y - -5)/(1/(-10))?
20
Let t = 3301659 - 66052941/20. Let l = 4922/5 + t. What is the common denominator of l and -41/42?
420
Let y(c) = -16*c + 1. Let m be y(-3). Calculate the common denominator of -12*4/(-15) - 2 and 5 + -4 + m/3.
15
Let x = -34 + 56. Calculate the least common multiple of 34 and x.
374
Let v = -74 + 112. Suppose -5*n - 4*k + 108 = 0, n - v + 10 = -4*k. What is the least common multiple of n and 6?
60
Let m = -689 - -1353/2. Let z = -26/33 - 155/22. Calculate the common denominator of m and z.
6
Suppose 2*q - p - 9 = 0, 3*q - 24 = -q + 4*p. Suppose 5*d - 88 = -4*s, 0*s - q*s + 2*d = -66. What is the smallest common multiple of 8 and s?
88
Let h = 165 + -111. Calculate the lowest common multiple of h and 8.
216
What is the least common multiple of (2/(-3))/((-4)/18) and 11?
33
What is the common denominator of 67/6 and 80/12*3/24?
6
Let p = 4 - 0. Let k(l) = 3 - p*l + 2 + 4*l**2 - 2*l + l**3. Calculate the smallest common multiple of k(-5) and 12.
60
Suppose -21 = -f - 0*f. What is the lowest common multiple of f and 21?
21
Let z = -1956 - -9742/5. Let s = 146/207 - -5/69. Calculate the common denominator of s and z.
45
Let t(g) = -4*g + 6. Calculate the least common multiple of t(-4) and 10.
110
Let b = -22 - -32. What is the common denominator of 2/4 - 56/b and 129/(-4) + (-1)/4?
10
Let t = 625 - 1901/3. Find the common denominator of -4/9 and t.
9
Let q = -4890 + 117407/24. Find the common denominator of 89/6 and q.
24
Let j = 4/1497 - 28531/32934. Find the common denominator of j and 61/4.
44
Let c = -5 + 3. Let o = c - -6. Calculate the smallest common multiple of o and 20.
20
Suppose -4*v = -45 + 1. Calculate the least common multiple of v and 3.
33
Let k = 2313915/52921 - -16/4811. Let j = k + -43. Let y = -123/68 - -290/17. Calculate the common denominator of j and y.
44
Let u(r) = -6*r - 5*r - 5 + 1. Let o be u(-5). Find the common denominator of o/(-60) + (-1)/(-1) and -87/4.
20
Suppose 14 = -4*h + 30. What is the least comm
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{
"pile_set_name": "DM Mathematics"
}
|
50 + d**6/200 - 4*d**5/25 - 2*d**4/5 - 26*d**2 + 22*d. Solve n(o) = 0 for o.
-4, -1, 0, 4
Suppose -30*m = -26*m - 5*z + 1872, 2*m = z - 936. Let n = -466 - m. Determine y so that -n*y - 16/3*y**2 + 2*y**3 + 0 = 0.
-1/3, 0, 3
Let o(w) be the third derivative of 0 - 29/3*w**4 - 32/3*w**3 - 1/10*w**6 - 31/15*w**5 + w - 27*w**2. Solve o(y) = 0.
-8, -2, -1/3
Let r be 465/35 - 5*2/35. Let d be 12/8 + (91/(-6))/r. Factor d - 1/3*l**2 + 0*l.
-(l - 1)*(l + 1)/3
Suppose -5*c - 2437 = -3*o, -5*o - 918 = 4*c + 1002. Let g = c - -10189/21. Find r such that 0 + 2/21*r**2 - g*r = 0.
0, 2
Let s(a) be the first derivative of 5 - 3/7*a**4 + 1/21*a**6 - 18/7*a + 6/35*a**5 - 27/7*a**2 - 52/21*a**3. Solve s(z) = 0.
-3, -1, 3
Let u = 68 - 61. Let t = 56 - u. Factor -31*z - 10*z - 22*z - 15*z**2 - t + 49*z**3 - 50*z**3.
-(z + 1)*(z + 7)**2
Let u(k) be the second derivative of k**5/20 - 187*k**4/12 + 31*k**3 - 2469*k. What is q in u(q) = 0?
0, 1, 186
Suppose -18*g + 15*g = -12. Let d(x) = x**3 - 5*x**2 + 6*x - 6. Let v be d(g). Factor 680*b + 98*b**3 + 49 + 698*b**v - 328*b**2 + 862*b**2 + 47.
2*(b + 12)*(7*b + 2)**2
Let f(j) be the third derivative of 13*j**5/90 - 281*j**4/36 - 110*j**3/9 - 2*j**2 + 2022*j - 1. Suppose f(y) = 0. What is y?
-5/13, 22
Suppose x + 1 = 2, -42 = -4*n + 2*x. Suppose i + 1 = 3*a, -n = 2*a - 0*a - 3*i. Factor -365*c**3 - 16*c**a - 9*c + 361*c**3 + 4*c**4 + 2*c**5 - 4 - 5*c.
2*(c - 2)*(c + 1)**4
Let l = -1706 - -1708. Let t(i) be the second derivative of 0*i**l + 0 - 1/42*i**4 + 2/21*i**3 + 3*i. Factor t(y).
-2*y*(y - 2)/7
Find s, given that -198/7*s - 596/21 + 2/21*s**2 = 0.
-1, 298
Let j be 36/(-16)*(-888)/111. Factor 52/3 + j*v + 2/3*v**2.
2*(v + 1)*(v + 26)/3
Let f = 1/18 - -4/9. Let z = 17628 + -17624. Factor 0 + f*m**3 + 0*m - 1/4*m**2 - 1/4*m**z.
-m**2*(m - 1)**2/4
Let 14*c**2 - c**3 + 28 - 15*c**2 + 34*c**2 - 94163*c**4 + 94162*c**4 - 59*c = 0. Calculate c.
-7, 1, 4
Let b be ((4 + 8)/3 - -3)*1. Let a(l) = 12*l**2 + 38*l + 8. Let o(v) = 13*v**2 + 37*v + 7. Let s(q) = b*a(q) - 6*o(q). Factor s(h).
2*(h + 7)*(3*h + 1)
Let p = 250 - 230. Let 5 - 5 + 283*x - p*x**2 - 5*x**3 + 5*x**4 - 263*x = 0. Calculate x.
-2, 0, 1, 2
Let f(d) be the first derivative of -15 + 1/3*d**3 + 0*d + 1/2*d**2 + 1/4*d**4. Let b(r) = -36*r**3 - 4*r**2 + 18*r - 8. Let i(m) = b(m) + 6*f(m). Factor i(o).
-2*(o + 1)*(3*o - 2)*(5*o - 2)
Suppose 0 = -j - a + 770, 59*a - 752 = -j + 64*a. Let l = 770 - j. Find c such that -1/5*c + 1/5*c**l - 7/10*c**4 + 0 + 7/10*c**2 = 0.
-1, 0, 2/7, 1
Let r(m) = -5*m**3 - 2665*m**2 + 5. Let p(z) = -5*z**3 - 2664*z**2 + 4. Let n(x) = -5*p(x) + 4*r(x). Factor n(j).
5*j**2*(j + 532)
Let n be ((-4)/(-3))/(-4) - (35/75 - 1). Let a(f) be the first derivative of -1/4*f**4 + 1/2*f**2 + 2*f + 5 - f**3 + n*f**5. Factor a(o).
(o - 2)*(o - 1)*(o + 1)**2
Suppose -4*i = -0*i - 20. Suppose i*j + 32 = 7*j. Find y, given that -9*y**2 - j + 2*y**3 + 0*y + 2*y**3 + 24*y - 3*y**3 = 0.
1, 4
Suppose -553*s - 270*s = -3907 + 615. Let 1/5*h**s + 4/5*h**3 - 3/5*h**2 + 8/5 - 2*h = 0. What is h?
-4, -2, 1
Let s(f) be the first derivative of f**6/2 - 27*f**5/5 - 99*f**4/4 - 35*f**3 - 18*f**2 + 1782. Factor s(m).
3*m*(m - 12)*(m + 1)**3
Let j(t) = -772*t - 1546. Let q(o) = o**2 + 3089*o + 6183. Let y(l) = 9*j(l) + 2*q(l). Suppose y(w) = 0. What is w?
-2, 387
Let p be (4 - 77/35)/((-1)/(-5)). Suppose -p*m - 21*m**4 - 53*m**3 + 15*m**3 - 39*m**2 - 2*m - 13*m**3 + 2*m = 0. Calculate m.
-1, -3/7, 0
Factor 22*z**2 - 3*z**3 - 40 - 15*z - z + 11*z**3 - 10*z**3.
-2*(z - 10)*(z - 2)*(z + 1)
Let p(z) be the first derivative of 16/7*z - 10/21*z**2 + 2/63*z**3 + 55. Factor p(j).
2*(j - 6)*(j - 4)/21
Let p(l) = l**3 - 4*l**2 - 54*l + 180. Let z be p(8). Let a(g) be the first derivative of z*g**3 + 34 - 3/2*g**4 + 0*g + 8*g**2 - 2/5*g**5. Factor a(v).
-2*v*(v - 2)*(v + 1)*(v + 4)
Suppose -14*t + 2267 = 419. Suppose -14*d**2 - t*d + 4*d**4 - 78*d**2 - 34 + 0*d**2 - 12*d**3 - 22 = 0. What is d?
-2, -1, 7
Suppose 126 = -69*z + 87*z. Suppose 3*l = -i + z, -20*i + 22*i = -2*l - 2. Determine q, given that -4*q**3 + 0 + 8/3*q**2 - 2/3*q + 8/3*q**l - 2/3*q**5 = 0.
0, 1
Suppose h + 10 = 4*d, 4*d = -0*h + 5*h + 18. Solve 2*p**3 + 2*p**3 - 3*p - 2*p**2 - 218*p**5 + 217*p**5 + d = 0 for p.
-2, -1, 1
Let p(y) be the third derivative of y**6/660 + 2*y**5/15 + 85*y**4/132 + 14*y**3/11 + y**2 - 176*y. What is k in p(k) = 0?
-42, -1
Let v(u) be the second derivative of -u**7/15120 + u**6/864 - u**5/180 + 35*u**4/3 + 15*u + 3. Let n(k) be the third derivative of v(k). Factor n(a).
-(a - 4)*(a - 1)/6
Let h(m) = 22*m**2 + 11*m - 20. Let t be h(2). Suppose 0 = 20*f + 10 - t. Factor 0*g**f + 0*g**2 - 4/7*g**3 + 2/7*g + 2/7*g**5 + 0.
2*g*(g - 1)**2*(g + 1)**2/7
Let o(p) be the first derivative of -9/16*p**2 - 7/16*p**4 - 1/48*p**6 - 1/4*p - 2/3*p**3 - 58 - 3/20*p**5. Factor o(n).
-(n + 1)**4*(n + 2)/8
Let s(y) = 3*y**4 - 75*y**3 + 157*y**2 + 228*y - 63. Let u(x) = -x**4 + 37*x**3 - 79*x**2 - 114*x + 27. Let j(v) = -3*s(v) - 7*u(v). Factor j(h).
-2*h*(h - 3)*(h + 1)*(h + 19)
Suppose -5*u - 108 = s, -s - 3*s + 30 = -2*u. Let l be -3 + (-72)/u*28/8. Factor 2*m**2 - 11*m**2 + 0 + l*m + 6*m**2 - 6.
-3*(m - 2)*(m - 1)
Suppose 0 = -49*g - 10*g - 49*g + 432. Let k = 4323/1205 + 3/241. Factor 0 - 2/5*b**g - 6/5*b**3 - 2*b + k*b**2.
-2*b*(b - 1)**2*(b + 5)/5
Let n(f) be the first derivative of -f**6/60 - 13*f**5/30 - 55*f**4/12 - 25*f**3 + 35*f**2/2 + 72. Let r(o) be the second derivative of n(o). Factor r(u).
-2*(u + 3)*(u + 5)**2
Let j = -192/11 + 3095/33. Let n = j - 71. Let -8/3*g**3 - 8*g**2 - n - 32/3*g - 1/3*g**4 = 0. What is g?
-2
Let o(t) be the second derivative of -t**5/20 - 16*t**4/3 - 173*t**3/6 + 305*t**2 - 4940*t. Factor o(g).
-(g - 2)*(g + 5)*(g + 61)
Factor -4*t**4 + 32*t**3 - 55232*t**2 + 55184*t**2 + 20*t**3.
-4*t**2*(t - 12)*(t - 1)
Let k = 5 + 1517. Suppose -k + 1467 = -11*i. Find s such that 2/11*s**2 + 0*s + 6/11*s**4 + 6/11*s**3 + 0 + 2/11*s**i = 0.
-1, 0
Let t = -303 - -299. Let h be t/(-14) - 1122/(-385). Find q such that -43/5*q**3 - 56/5*q - 11/5*q**4 - h - 73/5*q**2 - 1/5*q**5 = 0.
-4, -1
Solve -1953*y**2 + 330*y**4 - 5*y**5 - 20807*y**2 + 10418*y - 26911*y - 13432*y - 4750*y**3 - 12250 = 0.
-2, -1, 35
Find o, given that 114 + 2/5*o**3 + 1142/5*o + 574/5*o**2 = 0.
-285, -1
Let n(w) be the first derivative of -w**3/30 + 59*w**2/20 + 61*w/5 + 1333. Factor n(t).
-(t - 61)*(t + 2)/10
Suppose 127*a = 123*a - 3*j + 33, 8*a - 77 = 5*j. Factor 3/8*p**2 + a*p + 0.
3*p*(p + 24)/8
Let x = -28974/13 + 57987/26. Factor 0 + 5*p**3 + 0*p + 4*p**2 - x*p**4.
-p**2*(p - 4)*(3*p + 2)/2
Suppose 41/6*a**3 + 1/3*a**4 + 49 + 721/6*a + 143/3*a**2 = 0. Calculate a.
-7, -6, -1/2
Let z be (-108)/8*-1*(-13 - -15). Solve z*h**4 - 238*h - 39*h**4 + 112*h**3 + 38*h - 220*h**2 = 0 for h.
-2/3, 0, 5
Let h(r) be the first derivative of -7*r**4/2 + 384*r**3 - 11931*r**2 + 6724*r + 186. Factor h(d).
-2*(d - 41)**2*(7*d - 2)
Let p be (-24)/(-264)*-22 + ((-162)/(-21))/3. Determine q so that -p + 8/7*q - 4/7*q**2 = 0.
1
Factor 19*q**2 + 113*q**3 - 295*q**2 - 115*q**3.
-2*q**2*(q + 138)
Let j(y) = -y + 7. Let f(s) = 2*s**2 - 68*s + 630. Let c(g) = f(g) + 6*j(g). What is l in c(l) = 0?
16, 21
Suppose -15*a - 54 = -6*a. Let l be 108/(-810)*a/4. Factor l*r**3 + 0 + 1/5*r**2 + 0*r.
r**2*(r + 1)/5
Let v(d) be the third derivative of 11*d**6/180 + 2903*d**5/90 + 15950*d**4/3 - 1936*d**3 + 87*d**2 + 36*d. Find b, given that v(b) = 0.
-132, 1/11
Let a(y) be the first derivative of -y**5/70 + y**4/3 - 8*y**3/7 + 116*y + 170. Let n(k) be the first derivative of a(k). Factor n(l).
-2*l*(l - 12)*(l - 2)/7
Let m(a) be the second derivative of a**7/7 - 297*a**6/10 + 1665*a**5 - 1369*a**4 + 11*a - 78. What is b in m(b) = 0?
0, 1/2, 74
Let y = 2620153/1746766 + -2/873383. Suppose -3*z**3 + y*z + 0*z**4 + 0*z**2 + 3/2*z**5 + 0 = 0. What is z?
-1, 0, 1
Let j(b) be the first derivative of 0*b**2 + 10 + 0*b - 1/5*b**5 - 1/3*b**3 - 1/2*b**4. Factor j(t).
-t**2*(t + 1)**2
Suppose 0 - 19/4*n - 15*n**3 - 29/2*n**2 - 11/2*n**4 - 1/4*n**5 = 0. Calculate n.
-19, -1, 0
Let t(z) be the first derivative of -1/2*z**4 - z**3 + 1/10*z**5 + 5/2*z + 77 + z**2. Let t(i) = 0. What is i?
-1, 1, 5
Suppose 4*y + 3*u - 17 = 0, -3*u = -5*y + y + 47. Let d be
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is the smallest value? (a) -3 (b) -4 (c) -3/191 (d) 12
b
What is the biggest value in -1, -2, -0.2, 2/5, 0.2, -7.269?
2/5
What is the smallest value in 3/2, 76273, -0.2?
-0.2
Which is the fourth biggest value? (a) 2/49 (b) -1/2 (c) 283 (d) 2 (e) 0
e
What is the biggest value in 1159, -60, 1.2?
1159
What is the second smallest value in -3/2, 0, 193, 7, -3, 0.13?
-3/2
What is the fifth biggest value in -0.8, 74, 0, -3, 2/3, -1/4?
-0.8
Which is the third biggest value? (a) -0.001 (b) -0.03 (c) 4 (d) -0.1
b
Which is the third biggest value? (a) -2/13 (b) -7663 (c) 2 (d) -2 (e) -3 (f) 1
a
What is the smallest value in -5, -0.3, 5, 0, 121309?
-5
What is the fifth smallest value in 2/3, -1, 13, -2, 2/9?
13
Which is the fourth biggest value? (a) 0.102 (b) 4/3 (c) -0.5 (d) 2/5
c
What is the second smallest value in 5, 20/9, 0.1, -3/11, 0.4?
0.1
Which is the third biggest value? (a) 4/5 (b) 20 (c) 6404
a
What is the second biggest value in -4/5, -4/73, 1, 0, 0.02, -0.4?
0.02
What is the second biggest value in -14, 53, -24?
-14
Which is the third smallest value? (a) 0.96 (b) -0.156 (c) 3
c
What is the fourth smallest value in -1/23, 2/9, -0.8, 1, -0.4, -5/4?
-1/23
What is the biggest value in -5, 0.5, -552, 18?
18
Which is the smallest value? (a) 0 (b) -3/47 (c) -4 (d) 0.2 (e) -0.11
c
What is the second biggest value in -3/4, -1/8, -6, -2, -9?
-3/4
What is the sixth biggest value in -2, 0.5, -411, -2/15, -0.01, -1.6?
-411
What is the fourth smallest value in -1/6, -0.055, 1, -2/3, 0.27, -0.2?
-0.055
What is the fourth smallest value in 1, 0.16, -126, -21?
1
What is the second biggest value in 28/1263, 0.3, 0.01?
28/1263
What is the fifth biggest value in -37, -5, -2, -2/13, 4?
-37
Which is the third smallest value? (a) 0 (b) -15/289 (c) 0.06
c
Which is the fifth biggest value? (a) 78 (b) -1 (c) -1/2 (d) -0.06 (e) -3/4
b
What is the third smallest value in 4, 0.01, 2/165, -5/12?
2/165
Which is the fourth biggest value? (a) 7/216 (b) 0.045 (c) 2/13 (d) -4/7
d
Which is the third smallest value? (a) 0.1 (b) -1/996 (c) -21
a
What is the third smallest value in -7/26, 0.2, 3.99?
3.99
What is the smallest value in 2/35, -2, 9/4, 18?
-2
Which is the fifth biggest value? (a) -0.1 (b) -1 (c) 199 (d) -5/6 (e) 1
b
What is the fourth smallest value in 342, 3, 4, 11, 2/5?
11
Which is the fifth smallest value? (a) 6 (b) -5 (c) -1 (d) -0.01 (e) 2/27
a
Which is the third smallest value? (a) 3/151 (b) 344 (c) 3/4
b
Which is the biggest value? (a) 132 (b) -2 (c) 0.5 (d) -2/13 (e) 1/3 (f) -0.1
a
What is the smallest value in 4, -0.0089, -85?
-85
What is the second smallest value in 0.2, -10, 1/342, -5, 1/8?
-5
What is the fourth biggest value in -60/761, -2, 6, -5?
-5
Which is the second biggest value? (a) -0.71 (b) -0.1 (c) 0.3 (d) -0.6 (e) -2
b
What is the third biggest value in 5/2, -921/7, -5, -0.2?
-5
What is the second biggest value in 0.2, 202, -2/11, 1?
1
What is the second biggest value in 1124, 0.1, -3.1?
0.1
What is the third smallest value in 178, 2/17, 2, 2.31?
2.31
Which is the third smallest value? (a) -1 (b) -0.3 (c) 0.3 (d) 0 (e) 9/1378 (f) -1/7
f
What is the smallest value in 10282, 2, 4, 2/11?
2/11
Which is the second smallest value? (a) -2/57 (b) -1/14 (c) 615
a
What is the second smallest value in -3, -38, -374?
-38
Which is the biggest value? (a) 1/8 (b) 807 (c) -0.3 (d) 3/4
b
Which is the second smallest value? (a) 29 (b) 0.09 (c) 145
a
What is the biggest value in 324, -0.1, -16?
324
Which is the third biggest value? (a) -13 (b) 0.03 (c) 1790
a
Which is the fourth biggest value? (a) 5 (b) -0.1 (c) 145/6 (d) -1/5
d
What is the smallest value in -25385.3, -2, -3?
-25385.3
What is the fifth smallest value in -3, -0.2, -2/25, 0.86, 0.05?
0.86
What is the biggest value in -1, -0.1, -66, -4/7, 1/8, -1/9?
1/8
Which is the biggest value? (a) 14 (b) -0.4 (c) -2/9 (d) -5.8
a
Which is the third biggest value? (a) -643 (b) 2 (c) -28 (d) -25
c
Which is the biggest value? (a) -11 (b) -0.0292 (c) 2 (d) -4 (e) -1.3
c
What is the second biggest value in 63/17, 4, -3/7, 3?
63/17
What is the fifth smallest value in 2, -1/18, 34, -14, 1, -3/2?
2
What is the smallest value in 594, 2, 2.3?
2
Which is the biggest value? (a) 653 (b) 1/2 (c) 10/7
a
What is the second biggest value in 1/2, -5/2, 1.1, -0.5, -5, 2?
1.1
Which is the smallest value? (a) 10 (b) -0.3 (c) -11 (d) -1
c
Which is the second biggest value? (a) -0.2 (b) -4 (c) -618 (d) 1 (e) -1/6 (f) 7
d
What is the second biggest value in 1/5, -3, -5, 2/9503, -0.06?
2/9503
Which is the third biggest value? (a) 3 (b) 1/3 (c) 0.3 (d) -0.21 (e) -2
c
Which is the second smallest value? (a) -0.5 (b) 97 (c) 2 (d) -10/17
a
Which is the second smallest value? (a) 31 (b) -3 (c) -10.891
b
Which is the third biggest value? (a) 23/3 (b) -3 (c) 3 (d) 12/5
d
Which is the smallest value? (a) 79/11 (b) -2.4 (c) 0.1 (d) -1
b
What is the smallest value in -3, -259/3, 4, -4?
-259/3
What is the fourth biggest value in -1/7, 0.4, 0.3, -61, 0?
-1/7
Which is the fourth biggest value? (a) 4 (b) 532/81 (c) 0 (d) 5/2
c
Which is the third biggest value? (a) -67/6 (b) -0.0879 (c) 1
a
What is the fourth biggest value in -2/3, 0.1, -385, -3, 3?
-3
Which is the fifth biggest value? (a) -0.5 (b) 4 (c) -1/19 (d) 42 (e) 5 (f) 1/4
c
What is the biggest value in 0, -2/3, 1.3568?
1.3568
What is the second biggest value in -49, -3, -5, 0.3, 1742?
0.3
What is the biggest value in 365, 0.108, 0?
365
What is the smallest value in 157, -6, -200?
-200
Which is the fourth biggest value? (a) 2 (b) 5 (c) 2.58 (d) -4 (e) 0
e
What is the second smallest value in 4/7, -14, 13, -0.1?
-0.1
Which is the second smallest value? (a) 0.438 (b) -6 (c) 3 (d) -1/15
d
Which is the third biggest value? (a) 0.09 (b) 0 (c) -6 (d) 3 (e) 125
a
What is the sixth biggest value in 3/8, 55, 32, 2/5, -2/7, -5/3?
-5/3
Which is the second biggest value? (a) 2 (b) 86 (c) -0.02 (d) -36
a
Which is the biggest value? (a) 2 (b) 1/2 (c) 1/5 (d) 10 (e) -30 (f) -5
d
What is the fifth smallest value in -1/115, -2/5, 6, 13, 0, 0.4?
6
What is the second biggest value in -8, 2/11, 1.7, 0.022?
2/11
What is the sixth smallest value in -12, 20.9, -5/4, 1/2, 13, -0.2?
20.9
Which is the fifth smallest value? (a) 10/7 (b) -1/4 (c) 4 (d) -1/9 (e) -36
c
Which is the third smallest value? (a) -1/9 (b) -3 (c) -15/26863
c
What is the smallest value in 0, 334, 0.2, -1136?
-1136
Which is the fourth smallest value? (a) -3 (b) 45 (c) 1/7 (d) 0.113 (e) -2/9
c
Which is the second smallest value? (a) 293.3 (b) 5 (c) -10/21
b
Which is the third smallest value? (a) -0.4 (b) -5 (c) -27 (d) 15 (e) -2/3 (f) -49
b
Which is the fourth biggest value? (a) -1 (b) -5 (c) -143/2 (d) -4.1
c
What is the fourth biggest value in -17/3, -1/12, 0.12, 2?
-17/3
What is the second biggest value in 15, 1/47, -3, 1/5?
1/5
What is the second biggest value in 8, -0.4, 10/3?
10/3
Which is the third biggest value? (a) 14.2 (b) 5.34 (c) 0.5
c
What is the third biggest value in -2/15, -2/65, 48, 2/9?
-2/65
Which is the biggest value? (a) -4/9 (b) 4/55 (c) -16 (d) 0.1
d
What is the second smallest value in 55, 1/4, 5, 0.1, -1, -2/9?
-2/9
What is the third biggest value in 0.4, -1.1, 32/87?
-1.1
Which is the second biggest value? (a) 7 (b) -84 (c) 31
a
What is the second biggest value in -1/3, 1, -14, -5?
-1/3
What is the biggest value in 4, 3, 138, 3/11, 3/5?
138
What is the third smallest value in -1, 4, -0.5, -13, -2/5?
-0.5
What is the second smallest value in -4, 386, -11/3?
-11/3
What is the second smallest value in 0.2, -5, -23, -2, -2/11?
-5
Which is the second biggest value? (a) -0.2 (b) -18 (c) 7471 (d) 0.4 (e) -0.1 (f) 1
f
What is the second smallest value in 1, 0.08, 1060?
1
What is the biggest value in 2/6221, 1/4, 0.05, -4?
1/4
What is the third smallest value in -2/3, 1, -5, -0.4, 4/9, -1879/7?
-2/3
Which is the second smallest value? (a) -11 (b) 2154 (c) -0.4 (d) -0.1
c
What is the second biggest value in -4, 23, 1, -4/43?
1
Which is the fourth smallest value? (a) 2726 (b) -3/2 (c) 2/7 (d) 2 (e) 1
|
{
"pile_set_name": "DM Mathematics"
}
|
**2) + 11*m**2 - 14*m**2 - 17*m**2 to p + s*m + b*m**2 and give b.
32
Express 197*k - 173*k - 325*k - 531*k as p*k + t and give p.
-832
Express 4*u - 4*u + u + (-117 - 114 + 42)*(-6*u - u - u) in the form d + j*u and give j.
1513
Express -6*q + 50*q - 6*q - 2 - 17*q in the form u*q + f and give f.
-2
Rearrange 561*k - 100*k + 429*k + 1077*k to c*k + s and give c.
1967
Express -v - 8*v**3 - 14*v**3 - 4*v**4 + 195*v**4 + 20*v**3 in the form k*v**2 + x*v**4 + c*v**3 + t + q*v and give c.
-2
Express 1107181*i**2 - 32 - 1107185*i**2 - 4*i + 0*i in the form j*i + z*i**2 + b and give b.
-32
Express 4*p**3 - 18*p**2 - 2*p**3 - 2*p**2 + 5*p**2 + 3*p**2 - 11 - 3*p as n*p + f*p**3 + b + a*p**2 and give a.
-12
Rearrange -9910*t - 9917*t + 19825*t + 30*t**2 + 0 - 2 to h*t**2 + y*t + c and give y.
-2
Express (-y**3 + 5*y**3 - 2*y**3)*(-51*y + 32*y + 27*y) + 1 + 0*y**4 + 0 - y**4 as k*y**4 + d*y**2 + a*y**3 + q*y + b and give b.
1
Rearrange (-257*n - 323*n + 413*n)*(1 - 2 + 2)*(-6*n**2 + n**2 + 3*n**2) to h*n**2 + f + b*n + c*n**3 and give h.
0
Express -750*d**2 + 9*d**3 + 751*d**2 + 1 - 3 + 1 as b*d**2 + y*d + w*d**3 + f and give w.
9
Rearrange -439*m**3 + 2*m - 2*m**2 - 173 + 438*m**3 + 4*m**2 to n*m + x*m**2 + f + a*m**3 and give f.
-173
Rearrange 6*x**2 - 27 + 27 - 2*x**2 - x + 66*x**3 - 81*x**3 to the form i*x + f*x**2 + q*x**3 + r and give f.
4
Express 7*r**3 + 58*r - 3*r**3 + 3*r**2 + 57*r - 111*r in the form d*r + y*r**3 + v*r**2 + f and give v.
3
Express (-2 + 3 + 3)*(-5*a + 5*a - 6*a**2) + (3*a - 5*a + 0*a)*(-3 + 2 - 1)*(-a + 3*a + 0 - 1) in the form m*a**2 + k*a + o and give k.
-4
Rearrange 211625 - 211625 - 138*w to the form p + g*w and give g.
-138
Rearrange (2 + 3*v - 2)*(492 - 1079 + 479) + 1 - 2*v - 3*v + 3*v - 2*v - 3*v + 7*v to a*v + m and give m.
1
Express -25*u - 86*u - 160*u as i + x*u and give i.
0
Rearrange 670 - 4*t**3 - 691 + 3*t**3 to o*t**2 + z + l*t + j*t**3 and give j.
-1
Rearrange (100 + 3 + 12)*(-5 + 5 - k + (k + 2 - 2)*(3 - 1 + 0) + 1 - k - 1 - 2 + 2 + 7*k) to t + u*k and give u.
805
Rearrange -3685*w**3 + 27*w - 27*w + 465 + 3687*w**3 to the form d*w**3 + y*w**2 + u*w + g and give g.
465
Rearrange -a**3 + a**3 - 220*a**4 - 768*a**4 + (2*a - 3 + 3)*(0*a**3 + 2*a**3 - 3*a**3) to h*a + f*a**3 + x + z*a**4 + d*a**2 and give z.
-990
Rearrange -9*l**2 + 15*l + l**2 + 10*l**2 + (-l - 2 + 2)*(-3*l + l + l) to the form d + x*l**2 + u*l and give u.
15
Express 2*j**2 + 39*j + 42*j - 43*j - 2 as h*j**2 + k*j + g and give h.
2
Express 12*l + 903 - 1814 + 905 as p + k*l and give k.
12
Express (4*i - 3*i - 2*i)*(-i + i - i**2) + 3*i**3 + 2*i**3 - 18*i**3 + (-i**3 + i**3 - 6*i**3)*(0 - 2 + 5) as v*i**3 + m + p*i**2 + o*i and give v.
-30
Rearrange -5 - 3*n + 4*n**3 + 4*n**3 - n**3 - 5*n**3 to the form l*n**3 + c*n + z + b*n**2 and give c.
-3
Express p - 2*p + 3*p + 2248 - 2248 - 14*p + 6*p - 3*p - p + (-1 + 0 + 0)*(4 - 4 - p) in the form x*p + h and give x.
-9
Rearrange (p - 3*p + p - 10)*(-5 + 3 - 1)*(-3 + 3 - 1) to j*p + c and give c.
-30
Rearrange y**2 + 19 + 0*y**2 - 8*y**3 + 12*y**3 - 2 to s*y**2 + k + h*y + u*y**3 and give k.
17
Rearrange (-1004*h + 25*h**4 + 1006*h + 14*h**4)*(-1 + 1 + 2) to the form y*h**4 + q + s*h + v*h**2 + a*h**3 and give y.
78
Express (-30 - 18*l**2 + 30)*(-54*l - 85*l + 20*l) in the form d*l**3 + z*l**2 + g + k*l and give g.
0
Rearrange p + 11*p**3 - 6*p**4 + p**2 - 325 + 8*p**3 + 325 to the form y*p**2 + l + x*p**3 + h*p + z*p**4 and give z.
-6
Express (-3*h**2 + 3*h**2 + 2*h**3)*(-h + 3 - 3) - h**4 + 5*h**4 - h**4 - 11*h**4 - 20*h**4 + 10*h**4 as n*h**3 + u*h**4 + c + q*h + r*h**2 and give u.
-20
Rearrange -5 + 0 - 1 + 0*k - 11*k - k**3 to the form l*k + d + s*k**2 + x*k**3 and give d.
-6
Rearrange 8 + 6 - 6*g + 1 - 11 to the form n*g + i and give i.
4
Express (-2352*a**2 - 170*a**2 + 869*a**2)*(5*a - a - 2*a) in the form i*a + n*a**3 + y + d*a**2 and give n.
-3306
Express (6*h**2 - 4*h**2 - 5*h**2)*((3 + 2 - 2)*(1 - 3 - 4) + (-5 + 0 - 3)*(0 - 3 + 2)) as c*h + u + b*h**2 and give c.
0
Rearrange (2*v + 0*v - 5*v)*(1 - 10 + 0 + (4 - 5 - 1)*(1 - 3 + 3))*((0 + 4 - 3)*(-1 + 2 - 3) + 3 - 4 + 0) to a*v + z and give a.
-99
Express -825*z**2 + 160*z**2 - 48*z + 46*z as y*z + u + g*z**2 and give y.
-2
Rearrange 1530 - 1526 + 3*z - z - 128*z**2 to f*z**2 + p*z + h and give f.
-128
Rearrange 2728*s - s**2 - 1369*s - 1360*s - 3 + 3 + 31*s**3 to the form a*s**3 + n*s + b + y*s**2 and give n.
-1
Express -152*o**3 - 133 - 4*o**2 + 133 + (3 - 3 + o**2)*(o + 2*o - o) in the form w*o + h*o**3 + g*o**2 + m and give w.
0
Express -16 + 2*p**4 + 11*p - 7*p - 5*p in the form i*p**3 + b*p + z*p**4 + a + r*p**2 and give i.
0
Rearrange 409*n**2 - 336*n**2 + 219*n**2 to r + a*n**2 + w*n and give a.
292
Express 95*x - 296*x + 83*x + 2*x**2 + 86*x as i*x**2 + w*x + u and give i.
2
Express -1 + 1 - 3*j + (-5 - 3 - 1)*(-2*j - 6*j + 0*j) as h + n*j and give n.
69
Express ((2*f - 1 + 1)*(4 - 1 - 5) - f - f + 3*f + 3*f + 10*f + 2*f)*(21*f**3 + 52 - 52) in the form o*f + g*f**4 + h*f**2 + b + c*f**3 and give g.
252
Rearrange (4 + 2 + 2)*(m**2 - 2*m**2 + 0*m**2) + 9*m**2 - 97*m**2 + 4*m**2 to the form j + f*m**2 + q*m and give f.
-92
Rearrange (35*j + 23*j + 0*j)*(-4 + 1 - 1 + 1 - 1 - 2 + (1 - 3 + 1)*(-1 - 1 + 0) + 3 + 1 - 6 - 4 + 1 - 2) to the form d*j + b and give d.
-638
Express 10211*k**3 - 10209*k**3 - 25*k**2 + 4 - 2 as v*k + m*k**2 + b + q*k**3 and give m.
-25
Rearrange 42 - 4*a + 2*a + a - 3*a - 22 to the form b + f*a and give f.
-4
Express (1 - 3 + 1)*(-2 + 2*m + 2) - 11469 + 11469 - 121*m as p*m + w and give p.
-123
Express ((1 - 2 - 1)*(-1 + 1 + 1) - 1 + 0 + 2)*(-117 + 14*u + 117) as n + v*u and give v.
-14
Express -68*k - 27*k + 24*k + (2*k - k + 0*k)*(-2 + 5 - 2) - k - 4*k + 2*k - 2*k + 3*k + 0*k in the form r + n*k and give n.
-72
Rearrange (3 - 7 - 2)*(2*j - 2*j - j) + 69 + 70*j - 69 to the form b*j + o and give b.
76
Express -z - 5*z**3 - 25*z**4 + 732*z**3 + 4*z**2 - 3*z**2 + 24*z**4 + 3*z as h*z**2 + g*z + o + t*z**4 + j*z**3 and give t.
-1
Rearrange (a - 3*a + 4*a)*(-4 + 2 - 2*a + 0) - 10*a**2 + 0*a + 0*a + (-a**2 + 0*a + 0*a)*(-12 + 1 + 0) - 3*a**2 + 0*a**2 + a**2 to j + p*a**2 + r*a and give r.
-4
Express -4*u**2 + 0*u**2 + 8*u**3 + 48655 - 48655 as o*u + n*u**3 + i*u**2 + s and give n.
8
Express (6 - 3 - 1)*(-10 + 11 + 7)*(-3*b - b + 0*b) in the form z*b + j and give z.
-64
Express (-23*m**2 + 672 - 672)*(0 + 0 + 2*m) + m**3 - 3*m**3 - 6*m**3 in the form i + s*m**2 + a*m + f*m**3 and give f.
-54
Express (-6*p + 0*p + 4*p)*(0*p**3 - p**3 + 2*p**3) - 2*p**4 - 2 + 2 + (7 + 7 + 10)*(4*p**4 - 5*p**4 - 3*p**4) as y + r*p + n*p**3 + m*p**2 + k*p**4 and give k.
-100
Rearrange -4*n**3 + 3*n**4 - 2*n**4 - 511 + 8*n**2 - n + 511 to w + l*n**3 + c*n**2 + o*n + i*n**4 and give l.
-4
Express 45*t**4 + 6 - 6*t + 4*t + 2*t**3 + 6*t - 44*t**4 + t**3 as l*t**3 + p*t**2 + g*t**4 + w*t + d and give g.
1
Rearrange (1 - 50 + 47 + 466*m)*(0 - 2*m**3 + 0) to the form c*m**2 + a + o*m**3 + z*m**4 + f*m and give o.
4
Rearrange -620 - 619 - 86*f + f**3 + 1237 - 2*f**4 to z*f**3 + r*f**4 + p*f**2 + i*f + q and give q.
-2
Express (-3 + 3 - a)*(3 + a - 3 + (0 - 1 - 3)*(-a - 8*a - 3*a)) as f*a**2 + i + u*a and give f.
-49
Express -7*l**2 - 20 - l - 2*l**3 - 13 + 2*l + 9*l**2 - 5 in the form a + s*l**3 + z*l**2 + r*l and give s.
-2
Rearrange -2*f - 2*f**3 + 0*f + 5*f**3 + (-f + 0*f + 3*f)*(-29*f**2 + f**2 - 15*f**2) to the form v + j*f**2 + y*f + n*f**3 and give n.
-83
Rearrange 2*g**2 - 2*g**2 + 9*g**4 + (-3 + 0 + 2)*(-67*g**4 - 64*g**4 - 12*g**4) to z*g + u + p*g**4 + x*g**2 + f*g**3 and give p.
152
Express (40*j + 0*j + 113*j)*(4 + 0 - 3)*(-2*j + 7*j - 3*j)*(4*j - j - 5*j) as o*j**2 + i*j**3 + w*j + f and give i.
-612
Express -4*d - 4*d + 3*d + (3 + 2 - 3)*(-3 + 1 + 3)*(-4*d + 6 + 5 - 13) as r + b*d and give r.
-4
Express -4*w**3 + 2325*w**2 - w**3 - 2323*w**2 - 2*w in the form n*w**3 + y*w + t*w**2 + o and give n.
-5
Express (-9*l - 2*l - 5*l)*(2 + 1 - 3*l - 4) in the form t*l**2 + c*l + z and give t.
48
Rearrange (2*z - z + 0*z)*(26*z**3 - 120*z**3 + z**3) + 0*z - 88*z**3 + 2 - z + 85*z**3 + 2*z**4 to the form k*z + f + l*z**2 + a*z**4 + x*z**3 and give x.
-3
Rearrange (19*h - 41*h + 18*h)*(4 - 4 - 3) to the form k*h + p and give k.
12
Rearrange
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{
"pile_set_name": "DM Mathematics"
}
|
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