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d (3*u**3 - 3*u**3 - u**3)*(2*u - 1 + 1 - u - 1 + 1 + (5 - 5 + 2)*(-2*u + 2*u - 2*u) + 3*u - 2*u - 4*u)*(3 + 2 + 1)*(-1 + 5 + 0).
144*u**4
Expand -72*s**4 - 88*s**4 + 69*s**4 + (-4*s**4 + 5*s - 5*s)*(0 - 1 + 0).
-87*s**4
Expand -2*y + 2 - 2 + (0 + 1 - 3)*(-5*y + 4*y + 3*y) - 1 + 1 + y + 10330 + y - 10353 - 5*y.
-9*y - 23
Expand -7*s**5 - 2*s - 1195*s**4 + 1195*s**4 + (-3*s**2 + 3*s**4 + 3*s**2)*(-12 + 10*s + 12).
23*s**5 - 2*s
Expand ((-2 + 3 - 3)*(-2*w**3 + 0*w + 0*w) + 2*w**3 - 2 + 2)*(-2 + w - 6*w + w).
-24*w**4 - 12*w**3
Expand (-2 + 2 - 3*f)*(f**2 - 2*f**2 - 2*f**2) + 14*f - 10*f**3 - 8*f**3 + 17*f**3.
8*f**3 + 14*f
Expand (4*z - 3*z + 0*z)*(-z**4 + 0*z**4 - z**4) + 109*z**4 + 23*z**5 - 109*z**4.
21*z**5
Expand (6 + 2*r - 6)*(31 - 39 - 537*r + 8).
-1074*r**2
Expand (5*v - 2*v - v + 0*v - 2*v + 0*v + (v + 0*v + v)*(2 - 2 - 1))*(4*v**4 - v**4 + v**4).
-8*v**5
Expand 0 - 2*b**4 + 0 + (-21*b**4 + 5*b**4 - 19*b**4)*(-4 + 0 + 0).
138*b**4
Expand (2*w - w + 2*w)*(-3*w**2 + w**2 + 0*w**2 + (0 + 2*w + 0)*(2*w + 0 + 0)) + (2*w**2 - 3*w**2 - w**2)*(-10*w + 3*w - 12*w).
44*w**3
Expand (-3 - 4 - 8*l**2 + 6)*(-4 - 2*l**3 + 4) + (3*l**3 - 3*l**3 + 2*l**3)*(-3*l**2 - l**2 - 3*l**2) + 5*l**5 - 3*l**5 + l**5.
5*l**5 + 2*l**3
Expand -4*x - x + x + (-2 + 0 + 0)*(5*x - x - 5*x) - 3*x - x + x + (x + 4*x - 3*x)*(1 + 0 + 2).
x
Expand 3*n**4 - 2*n**4 + 2*n**4 + (5*n - n - 3*n)*(-n**3 + n**3 + n**3) - n**4 + n**4 - 2*n**4 + (-3 + 3 + 2*n**2)*(4*n**2 - 2*n**2 + 0*n**2) + 1 + n**4 - 1.
7*n**4
Expand (0 - 2 + 3)*(3*o**2 - 2*o**2 - 2*o**2)*((-3 + 1 + 0)*(3 - 3 - 3*o) - 30*o + 21 - 21).
24*o**3
Expand 26*p**2 + 4*p**4 - 26*p**2 + (-29*p + 50*p - 24*p)*(-2*p**3 - 4*p**3 + 4*p**3).
10*p**4
Expand (2*r**4 + r**4 - 2*r**4)*(166 + 138 + 161).
465*r**4
Expand h**5 + h**5 - 4*h**5 - h**5 - 3*h**5 + 2*h**5 + (-h**2 + 3 - 3)*(2*h**3 - 4*h + 4*h) - 975 + 975 + 83*h**5.
77*h**5
Expand o**2 - o**2 + 2*o**3 + (-4 + 4 + 1)*(2*o**3 + 4*o - 4*o) - 2 + 2 + o**3 - o**3 - o + o + 201 + 0*o**3 + 25 - 5*o**3 + 3*o**3.
2*o**3 + 226
Expand (10*g**3 - 581 + 2*g**2 + 581)*(0 - 9 - 2).
-110*g**3 - 22*g**2
Expand (f - f + 2*f**2)*(430*f - 2009 + 448*f + 2009).
1756*f**3
Expand (4*o - o - 2*o)*(-67 + 144 - 68).
9*o
Expand 71*o - 148*o - 81*o + 3*o + o - 5*o + (-2 + 0 + 0)*(-2*o + 1 - 1) + 0*o + 0*o + 2*o.
-153*o
Expand (8*l - 10*l + 4*l + 8*l**3)*(0*l + 0*l + 2*l + (l - l + 3*l)*(3 - 4 + 4)).
88*l**4 + 22*l**2
Expand (-4*o - 12 + 12)*(-19 - 2*o - 15 + 35).
8*o**2 - 4*o
Expand (1 - 1 + 3*n)*(5*n - 5*n + 5*n)*(3*n - 2*n + n)*(-2 - 2 + 3).
-30*n**3
Expand (7*a**3 + a**3 - 2*a**3)*(7 - 3 + 2)*(3 + 0 - 1) + 4*a**3 - 6*a + 6*a.
76*a**3
Expand -73*j**5 + j**2 + 1667*j**4 - 1667*j**4 + (0*j**3 + 0*j**3 - j**3)*(-3*j**2 + 3*j**2 + 2*j**2).
-75*j**5 + j**2
Expand (-5*l + 5*l - 4*l**2)*(-5*l + 0 + 0) - 3*l**3 + 5*l**3 + 0*l**3 + 4*l**3 + 2*l - 5*l**3 + 2*l**3.
23*l**3 + 2*l
Expand (-2*h - 17*h**3 - 30*h**3 - 11*h**3)*(2*h - 4*h + 3*h).
-58*h**4 - 2*h**2
Expand (6*q - 2*q - 2*q)*(-4*q + 2*q + 3*q) + q**2 + 0*q**2 - 2*q**2 + (q + 10*q - 2*q)*(-5*q + q + 2*q)*(1 - 1 - 3).
55*q**2
Expand -27*v - 32*v**2 + 27*v + (4*v + 0*v - 2*v)*(-2*v - 3*v + 3*v).
-36*v**2
Expand 2*x**4 - 2*x**4 - x**4 + (101*x**4 + 150*x**4 - 165*x**4)*(1 - 4 + 0) + 2*x**4 + 0*x**4 - 3*x**4.
-260*x**4
Expand (0 - 1 + 3)*(22 - 23*c - 22).
-46*c
Expand ((4 + 4 + 4)*(2 + 2*c - 2) - 2*c + 0*c + c)*(-1417 + 1417 - 105*c**2).
-2415*c**3
Expand (-45 + 16 + 31 + 7*x)*(-x - 2*x + 2*x).
-7*x**2 - 2*x
Expand (0*v - 21*v - 6*v + 4*v)*(-v - 5*v - 4*v).
230*v**2
Expand (-4 + 0 + 3)*(1 - 2*b - 1) + 84*b - 102*b - 247*b + (0*b + 3*b - 4*b)*(2 - 1 - 3) - b - 2 + 2.
-262*b
Expand (-132*y - 127*y - 50*y)*(0 - 1 + 3).
-618*y
Expand (-34 + 146*v - 73*v - 74*v)*(2 + v**3 - 2).
-v**4 - 34*v**3
Expand (6 - 8 + 3)*(5 + 21 + 4)*(1 + 5 - 4)*(3*k**2 - k**2 - 3*k**2).
-60*k**2
Expand (0*h + 2*h + 3*h)*(-5*h**3 + h**2 - h**2) + 3 + 22*h**4 - 3.
-3*h**4
Expand (4 - 4 + 2)*(-2 + u**2 + 0 + u**2)*(8*u + 59*u + 10*u) - 3*u**3 + 3*u**3 - 2*u**3.
306*u**3 - 308*u
Expand (4 - 6 - 4)*(-81*u**2 + 33*u**2 + 239*u**2).
-1146*u**2
Expand -306 + 544 - 414 - o**2 + (-2*o + 3*o + o)*(-o + 2 - 2) - o**2 - 2*o**2 + 4*o**2.
-2*o**2 - 176
Expand -4*h + 4*h + h**2 + (2*h - 2*h + h)*(2*h + 0*h + 3*h) + (1 - 1 + 4*h)*(0*h + h - 3*h).
-2*h**2
Expand (3 + 4 - 4)*(9*w + 151 - 151 + (4*w + 2*w - 4*w)*(0 - 3 + 2)).
21*w
Expand (-2*s**3 - 3*s**3 + 6*s**3)*(-102*s - 2*s**2 + 102*s + (0*s + 3*s + 0*s)*(3*s - 2*s - 2*s)).
-5*s**5
Expand (-5*w**2 + w**2 - 4*w**2)*(-5*w**3 + 4*w**3 + 3*w**3) + (6*w - 4*w - w)*(0 + 0 - 2*w**4) - w**5 + 3*w**3 - 3*w**3.
-19*w**5
Expand (-30 + 61 - 53)*(-2 + 2*s**2 + 0 + 3).
-44*s**2 - 22
Expand (-x**3 + 2*x**2 - 2*x**2)*(-3289 - 3646 + 6458)*(-6*x - 1 + 2*x + 3*x).
-477*x**4 - 477*x**3
Expand (-2*b + b + 2*b)*(-3*b**4 + 2*b**4 - b**4) + (4*b**2 - 4*b**2 - 3*b**3)*(15 - 15 - 7*b**2).
19*b**5
Expand 2*w - 1 + 1 + (-2 + 2*w + 2)*(-36 - 4 + 11) + 2*w + 0 + 0 + w + 2*w - w + 0*w + 2*w - w.
-51*w
Expand 2*q**2 - 4*q**2 - 7*q**2 + (q**2 + q - q)*(-3 + 2 + 8).
-2*q**2
Expand 3*c**3 + c - c + (2*c - 3*c + 0*c)*(-6*c**2 + c**2 + 2*c**2) + (0*c - 4*c - 2*c)*(4*c**2 + 5*c**2 - 6*c**2).
-12*c**3
Expand (-1 + 1 - 1)*(5*q - 4*q - 3*q)*(-22 - 9 - 56).
-174*q
Expand (-68*i - 16*i**3 + 68*i)*(4*i**2 + 4*i**2 + 32*i**2).
-640*i**5
Expand (o - o - 3*o**4)*(0 - 2 + 3) + o**3 - o**3 + o**4 - 2*o - 33*o**4 + 4*o - 2*o.
-35*o**4
Expand (0 - 1 + 0)*(-4*p**2 + 6*p**2 - p**2)*(6 + 75 - 11)*(2 - 2 - p).
70*p**3
Expand ((5 - 4 + 1)*(0 + 0 - 2*l) + 2 - l - 2 + 2*l + 0*l - 3*l - 888 + 888 + 19*l)*(3*l - 5*l + l + (4 - 4 + 1)*(-l + 4*l - 4*l)).
-26*l**2
Expand (-3 + 3 + 2*c)*(0 + 0 + 2*c**2) - 2*c**2 - 7*c**2 + 12*c**2 - 9*c**3 + c**3 + 0*c**3 - 4*c**3 + (4*c + 2*c**3 - 4*c)*(-1 - 1 + 1).
-10*c**3 + 3*c**2
Expand (-u**3 - u**2 + u**2)*(-2*u + 0*u + u) + 3*u**4 + 3*u**4 - 3*u**4 + (u**3 - u**3 - 2*u**4)*(-2 + 1 + 0) + (3*u - 3*u - u)*(-11*u**3 + 350*u - 350*u).
17*u**4
Expand -2*o**3 - 2*o**3 - 2 + 0 + (-2*o + 2 - 2)*(-2*o**2 + 3*o**2 - 5*o**2).
4*o**3 - 2
Expand (5*a**4 + a**4 - 4*a**4)*(10 + 29*a - 35*a - 3).
-12*a**5 + 14*a**4
Expand (-3 - a + 1 - 2*a + (a - 3*a + 3*a + (-a + 2*a + 2*a)*(6 - 1 + 0))*(1 - 4 + 5))*(1 - 2*a - 1).
-58*a**2 + 4*a
Expand (1 - 7 - 5)*(-2*k - k + 6*k) + k + 3*k - 6*k - 2*k + 0*k + 4*k.
-33*k
Expand (-2 + 26*r**2 - 26*r**2 + 3*r**3 - 2*r)*(-6*r**2 + 2*r**2 + 3*r**2) + 2 - 2 - r**5.
-4*r**5 + 2*r**3 + 2*r**2
Expand -2*f**2 + f**2 - 2*f**2 + (f - 4*f - f)*(-5 - 2*f + 5) - 6*f**2 + 4*f**2 + 4*f**2.
7*f**2
Expand 2*v**3 + v**2 - v**2 + 4*v**3 - 2*v + 2*v - 9*v**3 - 18*v**3 - 16*v**3 + (1 - 3 + 4)*(-v**3 + 1 - 1).
-39*v**3
Expand (2*b**2 - 2*b**2 - 2*b**4)*(-b - b + 3*b) + 0*b**5 - b**5 + 3*b**5 + (-8 + 7 - 2)*(3*b**5 + 0*b**5 - 7*b**5) + 2*b**5 + 3*b**4 - 3*b**4.
14*b**5
Expand ((1 - 2 + 2)*(3 - 4 + 3) - 4 + 2 + 1 + (-2 + 5 - 2)*(-2 - 2 + 1))*(8*d + 2*d - 8*d**4 + 5*d**4).
6*d**4 - 20*d
Expand (2*j - j + 3*j)*(1 + 0 + 2 + 17).
80*j
Expand (-2*u - u + u)*((3 - 3 - u)*(-u - 2*u + 4*u) + 2*u**2 + 2*u - 2*u - 2*u + 2*u - 2*u**2 - 58*u**2 + 297*u**2 - 49*u**2) + u**3 - 4*u**2 + 4*u**2.
-377*u**3
Expand ((3 + v - 3)*(1 - 2 - 1) + (0*v + 2*v - v)*(0 + 4 - 6))*(4*v + 2*v - 33*v).
108*v**2
Expand (-340*o + 340*o - 711*o**2)*((5 - 6 + 2)*(0*o - o + 0*o)*(-2 + 3 - 2) - o + 2*o - 3*o).
711*o**3
Expand 48*h**3 - 37*h**5 - 48*h**3 - 101*h**5 + (-4*h**5 - 2*h**5 + 5*h**5)*(4 + 0 - 3).
-139*h**5
Expand (2*u - 1 + 1)*(-u - 30*u - 2*u**2 + 242*u).
-4*u**3 + 422*u**2
Expand (-42*d**2 + 28*d**2 + 48*d**2)*(0 - 2*d + 0) - 2 + 2*d**3 + 2.
-66*d**3
Expand (2*d**2 - 2*d - 17 + 2*d)*(3 - 5 + 0)*(-d - 3*d + 2*d)*(d - d + 12*d**2).
96*d**5 - 816*d**3
Expand 15 - g**5 + 16*g**5 - 10 + (1 - 1 - 2*g)*(-2*g**4 - g**3 + g**3).
19*g**5 + 5
Expand (-54*n**3 + 74*n**3 + 56*n**3)*(-4*n + 4*n - n)*(-6*n + 5*n + 5*n).
-304*n**5
Expand (397 + 15*r + 85 + 11*r - 29*r)*(-2*r**2 + 3*r**2 + r**2).
-6*r**3 + 964*r**2
Expand (4*s**3 + 2*s**4 + 4*s**3 - 3*s**3)*(-3*s - 2*s + 2*s) + 38*s**3 - s**5 - 38*s**3.
-7*s**5 - 15*s**4
Expand (-4*g**3 + 2*g**3 + g**3)*(2*g + 8*g - 3*g) - 4 + 4 + g**4 + 10*g**4 + 232 - 232.
4*g**4
Expand (-1 - 3 - 2)*(19 - 40*u + 6 + 38*u).
12*u - 150
Expand -2*s - s**2 + 2*s + (-2*s + 2*s + 3*s)*(1
|
{
"pile_set_name": "DM Mathematics"
}
|
e -42*j = r*j + 98 for j.
-2
Suppose 3*t - 115 = -5*v, -2*v - 3*t + 39 = -16. Suppose 2*g + s - 4 = 0, 3*g - s - s = v. Solve -3*y = -4*y + g for y.
4
Let h = 631 + -530. Solve -13*u - 36 = -h for u.
5
Suppose -2 + 4 = q. Let d be ((-32)/(-40))/((-18)/20 - -1). Suppose d + 20 = 7*z. Solve -q*k + z + 0 = 0 for k.
2
Let f(r) = 0*r + 2*r + 0*r**3 - 21 + r**3 - 15*r**2. Let u be f(15). Let w = -5 + u. Solve -m - w*m = 10 for m.
-2
Let x(t) = 21*t - 180. Let l be x(34). Let k = 539 - l. Solve b - 6*b - k = 0 for b.
-1
Suppose 9*u - 360 + 333 = 0. Solve -11 = -u*s - 2 for s.
3
Let q = 3964 - 3951. Solve 0 = -q*k + 41 + 24 for k.
5
Let w(c) = -2*c**3 + 808*c + 63*c**2 - 421*c - 417*c - 30. Let s be w(31). Solve 4*q = s - 9 for q.
-2
Suppose 43 - 7 = 9*m. Suppose -20*h = -m*h - 64. Solve 2 = -h*v + 3*v for v.
-2
Suppose 2*g - 2 = 0, 108*j = 106*j - 3*g + 15. Solve -j = 24*o - 26*o for o.
3
Let v(a) = 140*a**3 - 2*a**2 + 3*a - 2. Let s be v(1). Let j = s - 135. Solve j*k - 6 = 6 for k.
3
Let g(u) = -63 - 67 + u + 146. Let r be (-120)/14 + (-6)/14. Let q be g(r). Solve q*y - 20 = 2*y for y.
4
Let z(q) = 12*q - 13. Let s be z(2). Suppose -s = -5*x - 4*g - 77, 0 = -2*x - g - 27. Let n be x/(-2) + -3 + -4. Solve n*p + 15 = 5*p for p.
3
Let r(x) = x + 13. Let t = 55 + -52. Let f(g) = -g - 7. Let j be f(t). Let o be r(j). Solve i = -o*i + 20 for i.
5
Suppose 4010 + 2374 = 91*m + 23*m. Solve m*z + 161 = -175 for z.
-6
Let s(l) = 6*l**3 + 10*l**2 + 4*l - 2. Let n(z) = -5*z**3 - 10*z**2 - 5*z + 2. Let w(i) = 5*n(i) + 4*s(i). Let y be w(-9). Solve 8 + y = -5*j for j.
-2
Suppose -12*v = 6 - 66. Suppose -v - 2 = q + 4*w, 4*w = -4*q + 8. Solve -q*d + 15 = -2*d for d.
5
Suppose 5*n = 35, 286*s - 291*s + n = -368. Solve -s*t - 4 = -71*t for t.
-1
Let c be ((15 - 32) + 18)*22*1. Solve 59*v - 74 = c*v for v.
2
Suppose 386 = 9*h - 73. Let x = h - 51. Solve 12 + x = -4*f for f.
-3
Let y(s) = 2*s + 3. Let w be y(0). Let q(g) = -3*g - 11. Let z be q(-5). Suppose 20 = n + 4*n. Solve -z*h = -w*h + n for h.
-4
Let k be (-7)/(70/(-75))*(-720)/(-108). Solve k*z + 63 = 363 for z.
6
Let u = -4746 - -4789. Solve u*y + 275 = -26 for y.
-7
Let q(r) = r**3 + 21*r**2 - 22*r + 13. Let h(o) = 2*o**2 - 59*o + 7. Let g be h(29). Let w be q(g). Solve -12 = 5*c + w for c.
-5
Suppose -m + 243 = 3*h, -m - 152 = 391*h - 393*h. Solve -24 = -h*r + 85*r for r.
-4
Suppose 0 = 170*j + 2187 - 6097. Solve -41*h + 384 = j*h for h.
6
Let c(d) = -d**2 + 71*d - 1009. Let q be c(51). Solve q*y - 44 + 0 = 0 for y.
4
Let v be 10 + (-10 + 7 - -83). Solve v = 29*g - 26 for g.
4
Let t be (-986)/(-22) + ((-6)/11)/(-3). Suppose t*w = 47*w + 2. Let b be (1 + w)/(2 - 4). Solve b = x + 3*x for x.
0
Let x be ((-196)/294*(-27)/(-4))/(3/(-4)). Suppose -2*y - u = -1 - 0, 4*y = -4*u + 4. Suppose x*a = -y*a + 258. Solve -a + 18 = 5*z for z.
-5
Suppose 6*c + 104 = 32*c. Let d(q) = -2*q**2 + 6*q + 10. Let k be d(c). Solve 4 = k*r - 0*r for r.
2
Let j be (-494)/39*(-444)/703. Solve -184 = -j*i - 232 for i.
-6
Suppose 4*i - 4*r = 824, 0 = -5*i - r - 3*r + 1021. Suppose 14*a = -27*a + i. Solve -9*b - 12 = -a*b for b.
-3
Let q = 2850 + -2828. Solve q*f = 32*f for f.
0
Let m = -63 + 64. Let p be (-12*m/5)/(3/(-15)). Let d be (p + -4)*(2 - (-21)/(-12)). Solve -d*r = 3*r + 25 for r.
-5
Suppose -4288 = -679*g + 7496 + 71733. Solve g = 23*m + 215 for m.
-4
Let o(n) = 10*n**2 + n - 2. Let g be o(-2). Solve -38*h = -44*h - g for h.
-6
Let l(s) be the second derivative of -s**4/12 + 5*s**3/6 + 31*s**2/2 + 45*s + 1. Let a be l(-3). Solve a + 21 = 7*k for k.
4
Let r be ((-96)/224)/((-12)/308). Solve r*p = -0*p for p.
0
Suppose 3*g + 3*y + 6 = 2*g, 18 = -3*g - 2*y. Let s(u) = -u**2 - 8*u - 10. Let b be s(g). Let p be (-4)/(2 + -7 - (-6)/b). Solve -p*t + t = -2 for t.
2
Suppose 0 = -3*i - 264 - 48. Let v = 108 + i. Let y = 1 + v. Solve 3 = -y*m - 2 for m.
-1
Let y be 5544/14 - -1 - 21. Solve -380 = -2*a - y for a.
2
Let v = -8756 + 8791. Solve -v*y + 25 = -30*y for y.
5
Let h(l) = 4*l**3 - 6*l**2 + 11*l - 12. Let m be h(4). Let f = m + -189. Solve v + f*v = 0 for v.
0
Let s(j) = -64*j - 192. Let w be s(-3). Let a = 7 + 6. Solve -4*b + a - 1 = w for b.
3
Suppose 0 = -40*q + 38*q + 12. Let c be (-2)/q*(-3504)/16. Let w be 73 - c - 0/(-1 + 2). Solve w*x = 3*x for x.
0
Let z(a) = -10 - 11*a**3 + 0*a + 6*a**2 + 12*a**3 - 13*a + a. Let u be (6/(-4))/((-9)/(-42)). Let d be z(u). Solve -d = k + 4*k for k.
-5
Suppose 4*d - 163 = -14*d + 251. Solve -13*c = -d*c + 16*c for c.
0
Suppose -4*h = -14*l + 15*l + 16, 0 = l - 4*h - 24. Solve -4*d - l*d = -24 for d.
3
Suppose -22*m - 6500 = -72*m. Solve 0 = 126*v - m*v + 8 for v.
2
Let s = 33677 - 33673. Solve 84 = s*w - 32*w for w.
-3
Let t(j) = -2*j**3 - 67*j**2 - 30*j + 134. Let v be t(-33). Solve 0 = v*x - 9 - 61 for x.
2
Let h be -2 + (-7 - -14) + -2. Let q be (-56)/(-70)*(h - 2/4). Solve -13 = q*k - 23 for k.
5
Let q = -251 - -254. Let v(j) = -5*j - 22. Let r be v(-7). Suppose 2*c + 4 = 5*l - 0*c, l + r = 5*c. Solve -5 - q = l*w for w.
-4
Suppose 5*n - 44 = -t, 839*n - 841*n + 2 = 0. Solve 21 = 10*p - t for p.
6
Suppose -4*n = o + 360, 3*n + 1044 = 2*o - 5*o. Let p = 350 + o. Solve -b = -4*b + p for b.
2
Let o = 28 + 101. Suppose d = -o + 130. Solve 3*l = d - 13 for l.
-4
Suppose 78*b = 93 + 1682 + 955. Solve -22*g = -15*g - b for g.
5
Let h = 156 + -117. Suppose 5*c = h + 1. Solve -7 - c = 3*u for u.
-5
Let n(u) = u**3 + 16*u**2 + 35*u + 565. Let z be n(-16). Solve -z*h = 14*h for h.
0
Let m = 2952 - 2919. Solve m*a - 67 = -1 for a.
2
Suppose -q + 10 = 5, 2*j + 2*q = 14. Suppose -5*s + 28 = 4*n - 2*n, j*s = -4*n + 24. Solve -5*a - 2 = -s*a for a.
-2
Let a be 2/(-6) + 33/(-9) + 0. Let n be ((-1)/(-2))/(13/26) - a. Solve -n = 9*f - 14*f for f.
1
Let o be (-2)/((-4)/6) + -1. Let y = 64520 - 64520. Solve -2*t + o = -y for t.
1
Let g be (21/4)/((-728)/(-12480)). Solve 31*p = 65 + g for p.
5
Suppose 10 = r + 4*r. Let u be (36 + -6)*r/4. Solve 4*p = u - 27 for p.
-3
Let f(o) = 41*o**2 + 473*o + 475. Let q be f(-1). Solve -q*w + 142 = 13 for w.
3
Let w be 2/8 - (-121)/(-484). Let m be (-2 - 0) + 2 - -5. Suppose -3*v + m*k + 5 + 0 = w, v - k = 1. Solve -5*r = -v*r + 20 for r.
-4
Suppose -21 = 3*n - 6*n. Suppose -5*u + n = -l + 5*l, 3*l + 12 = 2*u. Suppose 0*x = -u*x + 12. Solve 0 = h + h + x for h.
-2
Let v(c) be the second derivative of c**4/6 - 13*c**3/6 + 15*c**2/2 - 3473*c. Let d be 2 + 0 - (-3)/1. Let r be v(d). Solve r = -2*o - 2 - 2 for o.
-2
Suppose -185*x + 192*x = 91. Suppose 5*d + x = 5*v - 17, 0 = -4*v - d + 14. Solve v*g = g - 6 for g.
-2
Let d(f) = 7*f**2 - 429*f + 1295. Let i be d(3). Solve 32*x - 57 - i = 0 for x.
4
Let f(u) = -72*u + 116. Let b be f(12). Let g = b + 751. Solve -g*m + 27 = 42 for m.
-5
Let x be 46/(-322) + 29*1*5/35. Solve 5 = -x*b - 11 for b.
-4
Let c be (-1 - 316/20)/(1/(-15)). Solve 0 = 245*m - c*m - 28 for m.
-4
Let h = 301 - 105. Let z = -190 + h. Solve -7*t + z = 27 for t.
-3
Let g(y) = y**2 - 21*y + 40. Let w be g(19). Suppose -2*b = w*l + 6, l + 2*l = -b + 1. Solve -3*v - l*v - 15 = 0 for v.
-3
Suppose t - 4*t = -4*m - 324, 5*t = -5*m + 505. Suppose -7*f = f - t. Suppose 4 - f = -3*i. Solve -3 = i*s + 12 for s.
-5
Let y = -218 + 200. Let t be y/(-8) + (-11)/44. Solve -3*v + t = 5 for v.
-1
Suppose -3*c + 211 = 4*p, 4*c + 305*p - 340 = 307*p. Solve -53*i + c - 187 = 0 for i.
-2
Let y be 2/(-20) - (17668/(-280) + 5). Solve 69*z - y*z - 22 = 0 for z.
2
Let l be (1 - 3/3)/(-301 - -305). Solve -2*p + 40 - 54 = l for p.
-7
Let k = 4907 + -4890. Solve 17 = k*m - 17 for m.
2
Let n = -9 - -3. Let v be n/(-3)*1 + -21. Let t = -15 - v. Solve 0 = -t*l + 3*l + 1 for l.
1
Let d = -174 - -207. Suppose 5 = -f, -2*t - 65*f + d = -68*f. Solve -8*b - t = -5*b for b.
-3
Let l = 3 - -2. Let i(x) be the third derivative of -x**6/120 + 7*x**5/60 - 36*x**2 + 1. Let b be i(2). Solve l*p - b = p for p.
5
Let g = 102 - 100. Suppose 3*w - o + 1 = 2*w, 0 = -w - 2*o + 14. Let j = w + 2. Solve -4*l + j = -g*l for l.
3
Let z be (1/((-1)/3))/1. Let m be (0*(-1)/z)/2. Suppose -k + 4 = m, -c + 10 = 2*k - 0. Solve -c = -3*s - 17 for s.
-5
Let x be (0 + 96/112)*(-7)/(-3) + 92. Solve 87*y = x*y for y.
0
Let y(x) = -2*x**2. Let k be y(-2). Suppose -4*p - 2*u - 34 = 0, -3*p - u = -8*p - 46. Let j = k -
|
{
"pile_set_name": "DM Mathematics"
}
|
ler than m?
False
Suppose 0*c = -2*c + 2*z - 136, -3*c = 3*z + 228. Let p be (-3)/(-2)*(-32)/c. Let l(y) = y + 6. Let g be l(-6). Are g and p unequal?
True
Let r = -2.3 - -1.1. Is r > 1?
False
Let i be 25/(-20) - (-2 - -1). Let k(y) = -y**2 + 6*y + 5. Let d be k(5). Let z be (2/2)/((-15)/d). Which is smaller: i or z?
z
Let l be (40/(-168))/((-3)/(-18)). Which is bigger: l or 0?
0
Let g = 25 - 31. Let b = -17 + 12. Is b >= g?
True
Let z be 88/(-12)*18/8. Let m = z + 97/6. Is m smaller than 1?
True
Let b = -8 - -12. Let o = 7 + b. Which is smaller: o or -1?
-1
Let x = -0.3 + -6.7. Let y = x + 10. Which is smaller: y or 1?
1
Suppose 5*i - 4*a = -2*a - 114, -4*i - 78 = 5*a. Let h = 18 + i. Is h > -11/3?
False
Let b be (-1 - (-2 - -1)) + -2. Let k be (36/(-56))/((-12)/14). Is b bigger than k?
False
Let w be (-16)/64*6/13. Which is bigger: 0 or w?
0
Let s be 1/27*(-3)/2. Which is smaller: -1 or s?
-1
Let i = -2 - -2. Suppose i = -y - 2*t + 2, 4*y + 0*t - 2*t = -2. Which is greater: 0.2 or y?
0.2
Let y be (-4)/18 - (3 - (-58)/(-18)). Is -2/345 smaller than y?
True
Let v be (-31 - -4)*2/(-3). Let u = v - 13. Let d = 7 - u. Is 4/7 at most as big as d?
True
Suppose -5 - 3 = 4*u. Let w = -2 - u. Let d be ((-2)/6)/(4/(-3)). Is w at most as big as d?
True
Suppose -y = 4*y + 5. Which is bigger: y or -1/10?
-1/10
Let o be 3 - 2/(-2 + 0). Let g = -3 + o. Which is smaller: 8 or g?
g
Let v = -0.051 + 2.051. Is v at least -0.4?
True
Let p be (-6)/(-8) - 5/20. Which is smaller: p or 2?
p
Let x(m) = m**3 - 5*m**2. Let j be x(5). Let u = -6/31 + 164/527. Is j greater than u?
False
Let x = 1 - 0. Let f be x/(-7) - (-220)/(-28). Let g = -15 - -6. Is f greater than g?
True
Let l = 11 - 7. Let t = l - 2. Suppose -2*u = -n + 7, n - t = u + 2. Which is smaller: n or 2/11?
2/11
Suppose 2*a = 4*t - 206, -256 = -4*t - t + a. Which is bigger: t or 2/7?
t
Let w = -186 + 2420/13. Which is greater: w or 1?
1
Suppose -5*q - 12 = -3*x, -7*q - 2*x = -2*q - 8. Suppose 0 = c - q + 2. Let d(j) = j**2 + 5*j + 1. Let i be d(-4). Which is greater: i or c?
c
Let k = -0.5 + -0.5. Are -0.1 and k non-equal?
True
Let n = -1 - -18. Suppose -2*b = r + 2*r - 7, -3*b = -2*r - n. Is b equal to 3?
False
Let u(t) = 2*t - 10. Let y be u(3). Is y greater than or equal to -22/7?
False
Suppose -4 = -5*i + 3*i. Suppose 0 = -i*d - 2*r + 8, -2*d + 5*r - 7 = 6. Let w = 0 - d. Which is smaller: 0.1 or w?
w
Let r be 4 + -8 - (-18 - -2). Which is smaller: r or 10?
10
Let k = -3 - 0. Let m be (2/k)/(1/3). Which is smaller: m or -7/4?
m
Suppose 5*x + 4*w = 2*w + 47, -w - 35 = -4*x. Which is smaller: 8 or x?
8
Let z(n) = -n**2 - 8*n - 2. Let i be z(-7). Suppose -i*k - 120 = -40. Let c be 4 + -1 + k/6. Which is smaller: 3 or c?
c
Let x = -24.6 - -25. Is -0.05 at least x?
False
Suppose 9*t + 4 = 10*t. Which is greater: 5 or t?
5
Suppose -o = -3*n + 3, -n + 6 + 0 = -2*o. Let a be -1 + (n - 667/(-4)). Let u = -165 + a. Are 0 and u nonequal?
True
Let g be (316/(-12))/((-2)/(-20)). Let q = -266 - g. Are -2 and q equal?
False
Let k = 10 + -16. Let m be 4 - 2 - (-15)/k. Let f = 0 - 0. Is m at most f?
True
Let q be (9 + 1)/(16 + -15). Let l = q + -7. Is 5 greater than l?
True
Let i = -4.9 - -4.9. Is i smaller than 11?
True
Let k = 1261/8 - 158. Which is bigger: k or -1?
k
Suppose 3*h + 16 + 12 = 4*d, -4*d + 16 = 0. Let f = h - -4. Is -1 > f?
False
Let x be (-22)/((3 + -1)/1). Which is smaller: x or 2?
x
Let c = -75 + 75. Let b = -4576/23 - -199. Which is greater: c or b?
b
Let j(y) = 3*y**2 - 21*y - 2. Let r be j(7). Are -4/7 and r non-equal?
True
Let b = -3/50 + 81/100. Let s = -249.1 - -249. Which is smaller: s or b?
s
Let i = -21 + 12. Let p be (-2)/i - (-497)/(-252). Which is smaller: -3 or p?
-3
Let p be (30/(-4))/((-18)/(-96)). Let n be (18/p)/((-1)/(-796)). Let g = n - -357. Which is smaller: g or -1?
g
Let q(a) = a**3 - 2*a**2 + a - 2. Let j be q(2). Suppose 4*y + 17 = 4*m - 3, -4*y - 2*m + 4 = 0. Let i = y + -1. Is j at most as big as i?
False
Let v = -0.3 - -1.3. Let n = 2 - 1.1. Let h = n - 1. Is v >= h?
True
Let h = -3/442 - -977/13702. Is 0 at least h?
False
Let s be (-7)/5 - (-2)/5. Let o be -1*s/2 - 2. Which is smaller: -2 or o?
-2
Let m = -5.08 + 0.08. Let o = 1.9 + -2. Which is smaller: o or m?
m
Let l be (-22)/(-10) - 2/10. Suppose -l*r = 0, -3*o + r + 9 = 4*r. Is o at least as big as 3?
True
Let k be 235/10 - 2/(-4). Suppose -4*z = -z - k. Is 8 less than z?
False
Let t be ((-2)/(-6))/(0 - 3/183). Is t at most as big as -20?
True
Suppose 0 = 4*w + 2*v - 40, -5*w - 4*v + 50 = -3*v. Suppose 0 = -11*b + 9*b - w. Which is smaller: b or -6?
-6
Let q = 0 + 0. Let u = q - 0.2. Are u and 2 unequal?
True
Let s = -22/17 + 134/51. Suppose -8*q - 26 = -21*q. Which is smaller: q or s?
s
Let q(l) = -7*l + 2*l**2 - 2*l**2 - 8 + l**2 - 2*l. Let k be q(10). Is 4/5 < k?
True
Suppose -g = -4*g - 6. Let j(v) be the first derivative of -v**2/2 + v + 2. Let z be j(2). Do g and z have the same value?
False
Let k = 104595/59 - 1773. Does -1 = k?
False
Let p(q) = -q + 6. Let h be p(7). Let j be ((-1)/18)/(h/4). Does 0 = j?
False
Suppose 8 = 3*p - 1. Suppose p*m - 2*m - 12 = 2*o, -4 = m + 2*o. Suppose 2*t - h = -m*h + 2, -1 = -t - h. Is 2/7 less than or equal to t?
True
Let r(g) = -2*g - 4. Let l be r(-3). Let q = -5 + l. Let n be q/(-6) - 6/20. Which is smaller: n or -1/4?
-1/4
Let j = 158 + -158.2. Let m(b) = 5*b**2 + 2*b**3 + 1 - 3*b**2 - 2. Let y be m(-1). Which is smaller: j or y?
y
Suppose -4*g + 106 = 2*v - 16, -2*v = -2*g + 70. Are g and 32 unequal?
False
Let r be 110/5 + (3 - 4). Let t = 21 - r. Is 1/18 equal to t?
False
Suppose -a = -2*t - 2*t + 3, 5*a + 4*t + 63 = 0. Is -12 at most a?
True
Let o = 0.2 + 39.8. Which is greater: 0.1 or o?
o
Suppose -5*t + 3*t - 108 = b, -t - b - 55 = 0. Is t less than or equal to -54?
False
Let q be 18/25*2*(-10)/4. Is -5 greater than or equal to q?
False
Let z be ((-147)/(-14))/(0 - 9). Which is smaller: -2 or z?
-2
Let g = -3/4 - -1/2. Is 0.3 > g?
True
Let r be (-2)/(-3) + 8724/(-14274). Let m = r + 6/61. Suppose 0 = -0*j + 2*j. Are j and m unequal?
True
Let p(i) = i + 2. Let n be p(0). Suppose 0 = -o - u, 0*o = 4*o + n*u. Is o at least as big as 3?
False
Let h = 0.33 + -0.03. Let k be 50/(-20)*-2*1. Suppose 10 = -k*n - 0. Which is bigger: h or n?
h
Let n(c) = -c**3 + 8*c**2 + 10*c - 8. Suppose -3*t + 27 = -0*t. Let x be n(t). Let f = -1.1 + 1. Is f >= x?
False
Suppose -53 = -6*v + 1. Which is bigger: 10 or v?
10
Let m be (-2 + -224)*(-1)/(-270). Let g be 4/10 + (-59)/135. Let x = g - m. Which is bigger: 2 or x?
2
Suppose 0 = -5*o + 4*b + 11, 3*o = 2*b + 3*b + 4. Let q be (5 - o) + 1*-2. Are q and -8 nonequal?
True
Let m be 15/(-7) + 1*3. Which is greater: 1 or m?
1
Suppose 3*y - 8 = -2. Suppose 5 = -4*w + 1. Let d = w + y. Which is smaller: 3/5 or d?
3/5
Let k = -6.9 + 6.9. Which is bigger: k or -57?
k
Let w = -16/53 - -570/1537. Which is greater: w or 0?
w
Suppose -33 = 17*m - 16*m. Is m equal to -33?
True
Suppose 0 = 5*a - 9 - 1. Suppose -4 = -a*c + 6*c. Is -2/31 equal to c?
False
Let t be (22/(-33))/((-2)/81). Is t at least as big as 29?
False
Let d = -0.5 - -0.1. Let i = 0.6 - d. Let c = 2.05 - 0.05. Is i smaller than c?
True
Let m = -2 + 10. Let q(y) = -18*y - 80. Let b be q(-5). Is b smaller than m?
False
Let u = 4 - 3. Which is greater: u or -2/27?
u
Let b = -3.4 - -3.3. Is 0.04 at least b?
True
Let o be (-2)/1*(-40)/(-35). Does o = -2?
False
Suppose 4*i + 9 = 3*m, -5*i + 5*m - 8 = -3. Let b = i - -6. Let f be (-8)/(-70) - 4/10. Is b at most as big as f?
False
Let n = 0 + -1. Suppose 0*p - 2*p + 10 = 0. Let z be p/((-15)/6) + 2. Which is smaller: n or z?
n
Let c = 2.5 - 2.6. Is c greater than 9?
False
Let o = 25 + -8. Suppose 19 = 3*t - 4*m, -t + o = 4*t - 3*m. Which is greater: 1/23 or t?
t
Let w be (-1390)/(-180) + (-2)/(-4). Which is smaller: w or 8?
8
Let x be (-6)/(-4)*22/(-33). Let f = -3 - -6. Let r = -2.8 + f. Are x and r equal?
False
Let c be 48/18 + 2/6. Suppose -c = 4*i + 17. Let n be (-6)/(-15) - (-2)/i. Which is greater: 1 or n?
1
Let s be (-11)/(-44) + (-2)/4. Is s at least as big as -1?
True
Let u = 22/9 + -127/63. Which is greater: 0 or u?
u
Suppose -12 = -3*k - 5*i + 15, -3*k - 3*i + 21 = 0. Let l be k + -1 - (-74)/(-26). Is -1 <= l?
True
Suppose -4*t - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + -2)**2 + 3.
-378*sqrt(17) + 12441
Simplify (-2 + (-1 + sqrt(72))*-1 + -5 + (sqrt(1800) - -3*sqrt(1800)) + sqrt(1800) + (-1*sqrt(198))/sqrt(11))**2.
-1692*sqrt(2) + 39798
Simplify (-3*(1*(-1*sqrt(76) + sqrt(76))*5 - (sqrt(76) - 2*sqrt(76)*-2 - (3 + 1*sqrt(76) + sqrt(76)))))**2.
-324*sqrt(19) + 6237
Simplify 1 + -4*(3 + (-4*sqrt(11) + -4 + sqrt(132)/(sqrt(108)/sqrt(9)))**2) + 0.
-471 - 96*sqrt(11)
Simplify 4*((1 + sqrt(2736))**2 + 2) + ((sqrt(133)/sqrt(7) + sqrt(19) + -4)**2 - (4 + (sqrt(19) + -1)**2)).
82*sqrt(19) + 11024
Simplify ((4*((sqrt(153)*1 - sqrt(153)) + sqrt(153)) + sqrt(153)*1*2)/(3*sqrt(9)*-3*-4))**2.
17/36
Simplify (sqrt(66)*1*5 + sqrt(66) + sqrt(66)*-4*3)/(sqrt(36)/(sqrt(54)/(sqrt(36)/sqrt(4)))*6).
-sqrt(11)
Simplify ((sqrt(160)/(sqrt(64)/sqrt(8)) + (sqrt(180) - sqrt(20) - sqrt(20))*5)/(sqrt(700)/sqrt(7) + (-4*sqrt(196) - sqrt(196)) + sqrt(196)))**2.
180/529
Simplify ((sqrt(252)/(2*sqrt(28)))/(((1*sqrt(252))/sqrt(7))/sqrt(3)) + 2)**2.
sqrt(3) + 67/16
Simplify ((sqrt(684) - sqrt(684)*3)**2 + sqrt(209)/(sqrt(11) + sqrt(88)/sqrt(8) + sqrt(11)) - ((sqrt(76) - (-1 + sqrt(76) + sqrt(76))) + 2 + -1)) + -3.
7*sqrt(19)/3 + 2731
Simplify (((sqrt(18)*-3)/sqrt(6))**2*-2 - (-4*(sqrt(3) + 2) - (sqrt(243) - sqrt(243)*-2)))*-1.
-31*sqrt(3) + 46
Simplify (3 + 2*sqrt(19) + (sqrt(19) - sqrt(1900)*-6) - (4*sqrt(171) + sqrt(19) + sqrt(19)*-4 + -1))**2.
432*sqrt(19) + 55420
Simplify (sqrt(132)/sqrt(4)*-6 - sqrt(363)/(sqrt(11)*2))/(sqrt(88)/(sqrt(648)*-1 + sqrt(8) + sqrt(8))) + 1.
1 + 91*sqrt(3)/2
Simplify (-3*(sqrt(350) - sqrt(350)*-1 - sqrt(350))*3)/(sqrt(140)/sqrt(5)*4).
-45*sqrt(2)/8
Simplify (-6*(5 + -5 + 4 + (-4 + 2*sqrt(128) + sqrt(128) - sqrt(128) - sqrt(128))))**2 + -1.
4607
Simplify (2*((-2*sqrt(1216) + -3 - (-1*sqrt(1216) + -4)) + 6*(sqrt(1216) + 1) + 1 + sqrt(1216)*-2 + sqrt(1216)) + 4)**2.
2560*sqrt(19) + 78224
Simplify (0 + (sqrt(3) + 0 - sqrt(3)) + -4 + -5 - (6*(sqrt(9)/sqrt(3) - sqrt(3)) + (-2*sqrt(18))/sqrt(6)))**2.
-36*sqrt(3) + 93
Simplify (sqrt(704) + 1 + sqrt(704) + -5 + sqrt(704) + -2*(0 + sqrt(704) + sqrt(704)) + 5)**2 + -1*(1 + (0 + -1*sqrt(11))*-2).
-18*sqrt(11) + 704
Simplify 1*((sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) + -3*sqrt(200))*5)))*3)/(((1*sqrt(240) + sqrt(240))/sqrt(8))/sqrt(3)).
-33*sqrt(5)
Simplify (-1*sqrt(60)*2 + sqrt(60) + sqrt(360)/sqrt(150))/(-1*sqrt(972)*-1) + 3.
-4*sqrt(5)/45 + 3
Simplify -2*((-1 + sqrt(13) + -2 - -6*(sqrt(208) + sqrt(13)))*2 + 3) + -5.
-124*sqrt(13) + 1
Simplify (sqrt(396)*-3*-4*6)/(sqrt(4) - sqrt(192)/sqrt(12) - (sqrt(48)/sqrt(3))/sqrt(4)).
-108*sqrt(11)
Simplify ((-2*sqrt(216))/(-1*sqrt(288)))**2 + (sqrt(12) - (3 + sqrt(60)/sqrt(5)))*2.
-3
Simplify ((sqrt(57) + sqrt(684)/sqrt(108) + sqrt(57) - (sqrt(57) + 2*sqrt(2793) - sqrt(57)))/(-4*3*-2*sqrt(243))*3)**2.
23275/46656
Simplify ((sqrt(36)*2)/sqrt(3) - (6*sqrt(432))**2) + (-1 + 0 + 2*(sqrt(48) + -2))**2.
-15335 - 76*sqrt(3)
Simplify (-4 + sqrt(13)*-1 - sqrt(13)) + sqrt(143)/(sqrt(33)/sqrt(3)) + -1 - (((sqrt(117)*1)**2 - sqrt(117)) + sqrt(117) + 5 + 3)*1.
-130 - sqrt(13)
Simplify (1*(6*3*sqrt(170) - sqrt(170)))/(sqrt(110)/(sqrt(1100)*1))*6.
1020*sqrt(17)
Simplify -3 + (((3 + sqrt(1900) + -1)*-1 + -3 + -1)*1)**2.
120*sqrt(19) + 1933
Simplify -2*-4*((-4*sqrt(384) - sqrt(384))/(sqrt(288)/(3*sqrt(6))))**2.
14400
Simplify (6*sqrt(12) - (sqrt(12)/sqrt(4) + -4))**2 + 2 + (-1*(2*sqrt(3)*1 + 1))**2.
92*sqrt(3) + 394
Simplify (sqrt(30)/sqrt(54) + sqrt(5) + 0)**2 + ((sqrt(495)/(-2*sqrt(11)))**2 - sqrt(45)) + sqrt(45) + 2*(-4 + sqrt(245)*-2*3).
-84*sqrt(5) + 437/36
Simplify -6*(((-1 + sqrt(847))*6 - (-3 + sqrt(847) + -1 + sqrt(847))) + 1 - ((4 + (sqrt(847) + 0)**2 - sqrt(847)) + sqrt(847) + 5)*-1).
-5130 - 264*sqrt(7)
Simplify -4*(-3 + (sqrt(1100)*-2)**2) - 6*sqrt(88)/(sqrt(800)*-1).
-17588 + 3*sqrt(11)/5
Simplify ((sqrt(1573) - (0 + sqrt(1573)*2)) + (sqrt(1573) - 1*sqrt(1573)*6))**2 - (3 + 0 + sqrt(13) + -2 + ((sqrt(468)*2 + sqrt(468))**2 - sqrt(468)) + -4).
5*sqrt(13) + 52419
Simplify -3*(-2 + ((sqrt(288) + 4 + 2 - sqrt(288) - sqrt(288) - sqrt(288))**2 - ((sqrt(288)*3 + sqrt(288))*1)**2) + -5).
864*sqrt(2) + 10281
Simplify (((sqrt(70) + (-4*sqrt(70) - sqrt(70)))*5 + (sqrt(70) - sqrt(70)*3*3) + sqrt(70))/((sqrt(400)/(sqrt(8)*2))/(sqrt(245)*1 - sqrt(5))))**2.
734832
Simplify ((4*(sqrt(1539) - (sqrt(1539) + -1 + sqrt(1539))) + -4 + 1 + sqrt(1539))**2 + 2 - -6*1*(-1 + (sqrt(1539) - sqrt(1539)*2)**2))*-3.
-69246 + 162*sqrt(19)
Simplify ((2*(sqrt(75)/sqrt(5))/sqrt(3) + (sqrt(605)*-1 - (sqrt(5)*2 + 0 - sqrt(5))))*-5 + 0)**2 + 2.
12502
Simplify -3*(-4*(3 + -1*sqrt(931) - (sqrt(931) + -2*sqrt(931)*-2 + sqrt(931))**2) + (-5 + sqrt(931) + 2 - (-3 + 1 + sqrt(931)))**2).
-402159 - 84*sqrt(19)
Simplify (-2*(sqrt(156) + -2*sqrt(156)*-2)*2)/(sqrt(768)*1 + sqrt(768) + 1*sqrt(1452)).
-20*sqrt(13)/27
Simplify (1 + 2 + -3*(2*(sqrt(88) + sqrt(88)*-4))/(sqrt(8)*1*-4) + -3)**2.
891/4
Simplify (4*(1 + sqrt(432)) - ((sqrt(432) + -2*sqrt(432))**2 + -1)) + 5*(sqrt(432)*-1 + sqrt(432))**2 + (2 + sqrt(432) + -2)**2.
5 + 48*sqrt(3)
Simplify -2 + (-2*-2*sqrt(91)*2*6)/(4*5*2*sqrt(1008)).
-2 + sqrt(13)/10
Simplify ((sqrt(125)*-1)**2 + -3 + (sqrt(125) - (sqrt(125) + 0 + sqrt(125)))*3 - -4*(-1 + sqrt(125))*-5) + -4.
-115*sqrt(5) + 138
Simplify (-3*sqrt(396)/((1*sqrt(108))/sqrt(9))*3)/(-2*sqrt(108)*3 - (3*(sqrt(24)/sqrt(4) - sqrt(6)))/sqrt(2)).
sqrt(11)/4
Simplify 4 + ((sqrt(156) - sqrt(156)*4)*3)/(-2*(sqrt(1452) - sqrt(12)))*6.
4 + 27*sqrt(13)/10
Simplify (-2*sqrt(7200) - sqrt(100)/(-2*sqrt(2)))/(sqrt(10) + (sqrt(10) - 2*sqrt(90)) + sqrt(10) - sqrt(80)/(sqrt(8)*-2)).
47*sqrt(5)/5
Simplify 3*-3*4*(-1*sqrt(187)*1)/(sqrt(11)*-2*-3).
6*sqrt(17)
Simplify (-2 + 4 + (-5 + 3 + sqrt(605)*1)**2 + 2)*6*5.
-1320*sqrt(5) + 18390
Simplify (((sqrt(96) - (((sqrt(96) - sqrt(96)*1)*4 - sqrt(96)) + sqrt(96)))*5)/(-2*sqrt(12)*-6 + sqrt(36)/(sqrt(12)/sqrt(4) - sqrt(3) - sqrt(3))))**2 + -3.
-163/121
Simplify 5*((sqrt(153) - (sqrt(153) - (sqrt(153) + 4))) + -5)*-4*1*5.
-300*sqrt(17) + 100
Simplify 6*-2*(3*((sqrt(14)/(-1*sqrt(7)) + sqrt(2) - ((sqrt(4)/sqrt(2) - sqrt(2)) + -3) - 6*(1 + sqrt(2))*-2) + 3))**2.
-66096 - 46656*sqrt(2)
Simplify 1*sqrt(560)/sqrt(7) + -5 + sqrt(1620) + (-3*sqrt(15))/sqrt(3).
-5 + 19*sqrt(5)
Simplify (-6*((sqrt(130) + -1*sqrt(130))*-5 - (sqrt(130) + 5*-3*sqrt(130))))/(-6*sqrt(490) - (sqrt(110) - sqrt(110)*-5)/sqrt(11)).
7*sqrt(13)/4
Simplify ((1*sqrt(192)*-2 - (sqrt(192) - (-2 + sqrt(192) + -1)) - -5*(-1 + sqrt(192))*2)*-5*1 + 3)**2.
-43520*sqrt(3) + 311824
Simplify -2 + ((sqrt(847) + -2)*5 + (sqrt(847) - -3*sqrt(847)*-4)**2 - ((sqrt(224)*-6)/(sqrt(8)*-1) + -2)).
43*sqrt(7) + 102477
Simplify (4*(4 + sqrt(304)*5) + 2 - (sqrt(304)*-4 + -2 + 3)*-4)**2.
704*sqrt(19) + 5348
Simplify 0 + -5 + (5 + (sqrt(171)*-2 + sqrt(171) - sqrt(171))*-3*-4 + 5)**2 + -2 + -3.
-1440*sqrt(19) + 98586
Simplify -4 + (sqrt(75)*2)**2*-6*-5 + 4*-1*(sqrt(75) + -1) + 2.
-20*sqrt(3) + 9002
Simplify ((sqrt(39) - sqrt(117)/sqrt(3))*-1 - sqrt(39) - (sqrt(624)*-2 + sqrt(624)))/(sqrt(108)/(-1*sqrt(4)))*5.
-5*sqrt(13)
Simplify ((-6*(0 + sqrt(242)))**2 - sqrt(6)/(sqrt(432)/sqrt(9))) + -5 + 3.
-sqrt(2)/4 + 8710
Simplify -2 + (((sqrt(102) - sqrt(102)*-2*-2) + sqrt(102) + sqrt(102) + -6*sqrt(102)*2)/(-1*sqrt(384)*2))**2*1*2.
2617/128
Simplify 4 + (0 + 3 + 2 + sqrt(931) + 3*sqrt(931) + -3)**2 + -2.
112*sqrt(19) + 14902
Simplify ((-3*sqrt(120))/sqrt(8) - sqrt(15) - 6*((sqrt(240) - sqrt(15) - sqrt(15)) + sqrt(15)))/(3*(sqrt(1452)*-1 - sqrt(12))).
11*sqrt(5)/36
Simplify 1 + (-5*1*sqrt(242)*3)**2 + ((1 + sqrt(18) + sqrt(2))**2 + sqrt(2) + 5)*-1.
-9*sqrt(2) + 54413
Simplify (-4*(-2 + -1*sqrt(75)) + 0 + (sqrt(9) - (sqrt(9) + sqrt(324) + sqrt(324)*-2 + sqrt(324)))/(sqrt(9)/(sqrt(15)/sqrt(5))))**2.
320*sqrt(3) + 1264
Simplify (3*((sqrt(1300) + -1)*3 - ((sqrt(1300) - (sqrt(1300) + 0)) + -5)) + ((sqrt(1300) + 0 + sqrt(1300))*3 - (-2 + sqrt(1300)*-2)) + 2 + -1)**2.
3060*sqrt(13) + 375781
Simplify -1*(-2*(-6*(sqrt(200) + 1))**2 - (3 + (3 + sqrt(200) + 1 - sqrt(200)))) + -5.
1440*sqrt(2) + 14474
Simplify (2*(-4*(-3*sqrt(117) - sqrt(117)) + sqrt(117))*1)/((sqrt(18) - -1*(sqrt(90)/sqrt(5) - sqrt(18)))/(sqrt(96)/sqrt(3))).
136*sqrt(13)
Simplify 3 + ((sqrt(1300) + 0)*6 - sqrt(1300) - (-5 + 2*sqrt(1300) + sqrt(1300)) - (-1 + (
|
{
"pile_set_name": "DM Mathematics"
}
|
-2/3
Which is the second biggest value? (a) 1/2 (b) 11.2 (c) -0.04
a
What is the second biggest value in 32, 0.4, -0.06?
0.4
Which is the second smallest value? (a) 1/8 (b) 13 (c) 653
b
Which is the biggest value? (a) 2/17 (b) 13.7 (c) -6/7 (d) 0.3
b
Which is the second biggest value? (a) -50 (b) 0.2 (c) -4 (d) 3
b
What is the third smallest value in 1/3, -2/5, -449, 0.3?
0.3
Which is the smallest value? (a) 5 (b) 2 (c) 0.1 (d) -0.02 (e) 3/8
d
What is the second biggest value in -21, 4, -14, -4, 1?
1
What is the third smallest value in 2/11, 2/21, -1, 0.4, -5?
2/21
What is the fourth smallest value in -0.2, 2/19, -32, 3, 0?
2/19
What is the third biggest value in 1/3, 3, -2, 0?
0
Which is the smallest value? (a) -7 (b) 0.5 (c) 10
a
What is the smallest value in 3, -5, 0, 2.6?
-5
What is the second biggest value in 0.16, -2, -4/7, 0.3?
0.16
Which is the third smallest value? (a) -9 (b) 0 (c) 2/13
c
What is the second smallest value in -11, -65, -4?
-11
What is the smallest value in 0.5, -0.15, 0.4?
-0.15
What is the second smallest value in 1, 0.5, -2/9, 0, 10/11?
0
What is the fourth smallest value in 0.1, -2, -37, 8?
8
Which is the fifth biggest value? (a) 0 (b) 1 (c) 28 (d) -4 (e) 0.1
d
Which is the third smallest value? (a) 2/11 (b) -20/9 (c) -2/5
a
What is the third biggest value in 0.03, -3, -2?
-3
What is the smallest value in 3.8, -0.3, 1, -3?
-3
What is the smallest value in 140, -8, 0.4?
-8
Which is the second biggest value? (a) -1/3 (b) -2/5 (c) 79 (d) 4
d
What is the fourth biggest value in -1, 0, 5, -5?
-5
Which is the biggest value? (a) -8 (b) -17 (c) 1
c
What is the fifth biggest value in 1, 0.1, -2, -1/26, 3?
-2
Which is the second biggest value? (a) 0.3 (b) -1.1 (c) -0.1
c
Which is the smallest value? (a) -0.04 (b) -11 (c) -0.2
b
Which is the second biggest value? (a) 0 (b) 1/2 (c) 3
b
Which is the second biggest value? (a) 3.2 (b) -1/19 (c) -1
b
What is the third smallest value in -8, 46, -0.1, -3?
-0.1
Which is the smallest value? (a) -1.5 (b) -0.19 (c) 7/2
a
What is the fifth biggest value in -2/19, 1.8, -7, 1/2, -1/6?
-7
Which is the fifth biggest value? (a) -7 (b) 2 (c) 0.3 (d) -22/3 (e) 3
d
What is the biggest value in -0.3, -2/7, -1/3, -0.26?
-0.26
What is the second smallest value in 51, -0.5, -1/7?
-1/7
Which is the biggest value? (a) 0.1 (b) 4 (c) -2
b
Which is the third biggest value? (a) -2 (b) -0.12 (c) 2 (d) -5
a
What is the second biggest value in 0.4, -0.419, -0.1?
-0.1
Which is the third smallest value? (a) 5 (b) 1 (c) -12/17 (d) -0.2
b
Which is the second biggest value? (a) -2/11 (b) 0 (c) -100 (d) 3 (e) -1/4
b
What is the second biggest value in 34, 0.2, -2?
0.2
Which is the biggest value? (a) 5 (b) 0 (c) -1/7 (d) 12 (e) 3/8
d
Which is the fifth biggest value? (a) -0.6 (b) 6 (c) -1 (d) -3 (e) 1/5
d
Which is the fourth biggest value? (a) 8 (b) 4 (c) -0.5 (d) 3
c
What is the biggest value in -4/3, 8, -7, 1/4?
8
Which is the smallest value? (a) 0.07 (b) -3 (c) -9/4
b
What is the third smallest value in 6/11, 0, 0.051?
6/11
Which is the third biggest value? (a) -2 (b) -0.3 (c) -0.2 (d) 9
b
Which is the third biggest value? (a) -2/7 (b) -1/30 (c) 0.3
a
What is the fourth biggest value in -4, -2, -2/5, -1/8?
-4
Which is the biggest value? (a) -2/5 (b) -14.9 (c) 1/6
c
What is the second biggest value in 1/6, 2/9, -0.2, -394, 0.1?
1/6
What is the third smallest value in 0.2, -2/9, -0.8, -2?
-2/9
Which is the third biggest value? (a) 2 (b) -0.04 (c) 1261
b
What is the smallest value in -0.11, 1, 0.1?
-0.11
What is the third smallest value in -5, 13, 2, 1/180?
2
What is the third biggest value in 3.99, -4, -6?
-6
Which is the third smallest value? (a) -0.1 (b) -2/7 (c) -1 (d) 25/6
a
What is the third biggest value in -4/27, 3/7, -1.7?
-1.7
Which is the second smallest value? (a) -3/2 (b) 1/103 (c) -3/7 (d) 4 (e) -4
a
What is the fourth smallest value in 0.4, 2/7, 1/9, 0.8?
0.8
What is the smallest value in -1/4, -0.2, -5, -0.3?
-5
What is the biggest value in 2, 9/4, 0.5?
9/4
Which is the biggest value? (a) 5 (b) -1/3 (c) -0.252
a
What is the second smallest value in -2/455, 5, 0.5, 4?
0.5
What is the third smallest value in 6, -18, -3, 1/3?
1/3
What is the third smallest value in 11, -0.05, 5, -3?
5
Which is the second smallest value? (a) 3/8 (b) -36 (c) -4
c
Which is the fifth smallest value? (a) -274 (b) -2 (c) 0.4 (d) 1/2 (e) -0.3
d
What is the third biggest value in -0.0253, 11, -4?
-4
What is the fourth biggest value in -0.2, -0.6, 2/7, 1/181?
-0.6
Which is the fourth biggest value? (a) 0.5 (b) 4 (c) 1 (d) -0.01 (e) -39/14
d
Which is the biggest value? (a) 4 (b) 19 (c) 0
b
Which is the third biggest value? (a) 3/7 (b) -3/7 (c) -3 (d) -0.1 (e) 2/11
d
What is the fourth smallest value in -4, 2/5, -5, 4?
4
Which is the fourth biggest value? (a) -5 (b) -4 (c) -6 (d) 5
c
Which is the second biggest value? (a) -3/5 (b) 2/9 (c) -0.2 (d) 0.07
d
What is the third biggest value in -1/7, 55, 4, -0.05?
-0.05
What is the fourth biggest value in 0.5, 2/93, -0.4, 7/5?
-0.4
Which is the fifth biggest value? (a) -0.1 (b) 6 (c) 1 (d) -3 (e) -1/7
d
Which is the biggest value? (a) 2/11 (b) -2/101 (c) 0
a
What is the third biggest value in -2, 23/82, -1/7?
-2
Which is the smallest value? (a) 1/4 (b) 3 (c) 41
a
What is the third biggest value in -5, -1147, 0.2?
-1147
Which is the second smallest value? (a) -5 (b) 2/3 (c) 5 (d) 77 (e) 2
b
What is the third biggest value in 3, -10, -0.08, -5?
-5
Which is the biggest value? (a) -185 (b) 1/2 (c) -1
b
What is the biggest value in 0.5, 4, 0.52, 2?
4
What is the third biggest value in -6, -15, -1/3, -0.4?
-6
Which is the second smallest value? (a) -2990 (b) -4 (c) -3
b
What is the third biggest value in -1/2, -37/3, -0.4?
-37/3
What is the fourth smallest value in -0.01, -3/2, -1/2, 4?
4
What is the second biggest value in 25/2, 2/3, 4?
4
What is the second biggest value in 5/3, -2/7, -24, -2/15?
-2/15
Which is the second biggest value? (a) 4 (b) -1.6 (c) 302
a
What is the third smallest value in 16/3, -11.4, 5?
16/3
What is the fourth smallest value in 2/11, 0, 32, 3?
32
Which is the third smallest value? (a) 14 (b) 2 (c) 222
c
Which is the biggest value? (a) 11/2 (b) -11.3 (c) -0.3 (d) 2/9 (e) -4
a
Which is the fourth biggest value? (a) 0.2 (b) 32 (c) -4 (d) -2
c
What is the second biggest value in -3, -1/2, 456?
-1/2
What is the second smallest value in 0.2, -4, -1.38?
-1.38
Which is the biggest value? (a) -1 (b) -2/5 (c) 1 (d) -3
c
Which is the third biggest value? (a) 0.1 (b) -0.5 (c) -3/4 (d) -130 (e) -0.1
b
Which is the fourth smallest value? (a) 0.5 (b) -2/9 (c) 27/20 (d) 2/11
c
Which is the biggest value? (a) -0.1 (b) -6 (c) 0.263 (d) -4
c
Which is the fourth biggest value? (a) 6 (b) 15 (c) -0.4 (d) 0.2 (e) 0.3
d
Which is the third biggest value? (a) 0 (b) -69 (c) 82
b
What is the third biggest value in -0.6, 3, 14, -31/4?
-0.6
Which is the second smallest value? (a) 5/6 (b) -1/4 (c) -2/3 (d) 0.2
b
What is the second biggest value in 0, 0.1, -4?
0
Which is the second biggest value? (a) 4 (b) -0.4 (c) -165/2
b
What is the second biggest value in -2, 0.4, 1/324?
1/324
What is the biggest value in -5, 2/9, 0, -17?
2/9
What is the third biggest value in 1/8, -1/13, -1/3, 0, -2?
-1/13
What is the smallest value in 2, -31, -4?
-31
What is the biggest value in 1/3, 3, 5, -1/2?
5
What is the fourth biggest value in -1, -5, -9.6, 1?
-9.6
Which is the fourth biggest value? (a) 2/89 (b) 1/4 (c) -0.02 (d) -2 (e) -3
d
What is the third smallest value in -6/7, -2/17, 4/21?
4/21
Which is the third biggest value? (a) 5 (b) -25 (c) -0.3 (d) -0.5
d
What is the third biggest value in 0, -0.3, 1, -2/15?
-2/15
What is the biggest value in -0.3, -0.1, 74, -0.4, -0.5?
74
Which is the biggest value? (a) -0.07 (b) -0.4 (c) -1 (d) -2
a
What is the second biggest value in -1/10, -0.7, -1, -5, -1/2?
-1/2
Which is the fourth biggest value? (a) 0.3 (b) -2 (c) 1/6 (d) 2/7 (e) -9
b
What is the second biggest value in 0, 1, -4?
0
What is the third smallest value in 0.03, -10, -2?
|
{
"pile_set_name": "DM Mathematics"
}
|
))**2)*6 + (3 + ((sqrt(128) + sqrt(128)*1)*3 - sqrt(128)))**2 + -4.
-336*sqrt(2) + 6331
Simplify 1 + ((-2*sqrt(65) + sqrt(65))/sqrt(5) - (sqrt(13) + sqrt(520)/sqrt(10)))**2 + ((-5*sqrt(65)*1)/(sqrt(405)/sqrt(9)))**2.
2206/9
Simplify (((sqrt(450)/(sqrt(36)/sqrt(4)) - -5*sqrt(450))*-1)/(((sqrt(70) + sqrt(70)*2 + sqrt(70) + sqrt(70))*2)/(sqrt(21)/(1*sqrt(3)))))**2.
64/5
Simplify 6*((((sqrt(567)*2 + -3 - sqrt(567)) + sqrt(567))*2*3)**2 + (4*3*-4*(sqrt(567) + sqrt(567) + 0))**2).
-23328*sqrt(7) + 31844664
Simplify (5 + (5 + sqrt(931) + 1 - (-3 + sqrt(931) + 2)**2))*4.
-3684 + 84*sqrt(19)
Simplify (sqrt(210)/(sqrt(7) + -3*sqrt(7)) - (sqrt(180) + 1*sqrt(180))/sqrt(6))/(sqrt(54)/sqrt(81) - (-3*sqrt(24) + sqrt(24))).
-15*sqrt(5)/26
Simplify (((sqrt(85) - (sqrt(85)*-1 + sqrt(85))*5) + sqrt(85) + -5*-2*sqrt(85))*6)/((sqrt(50) - 5*1*sqrt(50))/(sqrt(160)*-5)).
360*sqrt(17)
Simplify ((-5*(sqrt(190)*1 - sqrt(190)))/(sqrt(50)/sqrt(5)*4))**2 + ((2*sqrt(76)*-1)/(2*(sqrt(12)/sqrt(3) + sqrt(4))))**2.
19/4
Simplify 6*(sqrt(832) - (sqrt(832) - -1*sqrt(832)*-4))/((2*1*sqrt(32))/sqrt(8)) + -5.
-5 + 48*sqrt(13)
Simplify ((4*sqrt(80)*3*-2)/(-5*6*sqrt(90)*1))**2.
128/225
Simplify (sqrt(121) + -2*sqrt(121)*-2)/(1*sqrt(11)*-2) + -2 + (-4 + sqrt(1584)*-3 + sqrt(1584))**2.
379*sqrt(11)/2 + 6350
Simplify ((-1*sqrt(72))/(sqrt(9) + sqrt(9) + 2*sqrt(9)*1) + -4*(sqrt(216)/sqrt(12) + 0))**2.
625/2
Simplify -1 + 6*sqrt(17)*2 + sqrt(170)/sqrt(250) + 5 + (-2 + 6*(2 + sqrt(833)))**2.
4261*sqrt(17)/5 + 30092
Simplify (((-1*sqrt(90))/sqrt(9))/(-6*(sqrt(2) + sqrt(2)*2 + sqrt(2))))**2 - (sqrt(35)/(sqrt(49)/sqrt(7))*-6 + 3)**2.
-108859/576 + 36*sqrt(5)
Simplify 3 + (((sqrt(3) + sqrt(12) + sqrt(3) + 3)*3)**2 - -1*sqrt(3)*1*-4).
212*sqrt(3) + 516
Simplify (-6*(sqrt(396)/(-1*sqrt(11)))/(1*sqrt(3)*-2)*-6)**2.
3888
Simplify ((1*1*sqrt(364) + sqrt(364))/(sqrt(63)/(-2*sqrt(9))))/(sqrt(256)*4 + sqrt(4) + (sqrt(4) - sqrt(28)/sqrt(7))*-4).
-4*sqrt(13)/33
Simplify 2 + (-4*(-4*-1*sqrt(95)*-2)/(-6*(sqrt(605) + sqrt(605) + sqrt(605)*1))*-1)**2.
24466/9801
Simplify (1 + 2*1*(3 + 6*5*(sqrt(117)/sqrt(9) + sqrt(13) + sqrt(13) - sqrt(13))) + 2)**2.
2160*sqrt(13) + 187281
Simplify 2*(5 + (sqrt(2880) - -1*sqrt(2880)) + (4*sqrt(405) + sqrt(45))**2 + -5).
96*sqrt(5) + 15210
Simplify (((sqrt(280)*2)/sqrt(10) + sqrt(28))*3*-1)/((sqrt(400) + sqrt(400)*-1 + sqrt(400))*1*-6).
3*sqrt(7)/20
Simplify (-1 + (-2 + 6*1*sqrt(1872))*-2 + -1 + 2 + -5)**2.
288*sqrt(13) + 269569
Simplify ((4 + (sqrt(153) + 1*sqrt(153) + 4 - -3*(-1 + sqrt(153))) + -4)*-6)**2*-4.
-550944 - 4320*sqrt(17)
Simplify (-1 + -5*((4 + sqrt(208) + -1*sqrt(39)/sqrt(3))*4 + -1))**2.
9120*sqrt(13) + 52576
Simplify (-6*(-3*-6*(sqrt(1700) - (2*sqrt(1700) + sqrt(1700))) + (4*sqrt(1700)*-2 - (1*sqrt(1700) + 0)))*1*-3)**2.
1115370000
Simplify -4 + (sqrt(7) - (sqrt(14)/sqrt(2))**2*5) + -2 + -5*(sqrt(847) + 4)**2.
-4356 - 439*sqrt(7)
Simplify (3 + -1*(1*sqrt(1584)*-2*2 + (5*(sqrt(1584) + 1*sqrt(1584) + sqrt(1584)) - (-1 + sqrt(1584) + -4))))**2.
480*sqrt(11) + 158404
Simplify 5*(4*-3*sqrt(468) - (5 + sqrt(468) + -3) - 2*(sqrt(468)*1 + -3 + -3*(-1 + sqrt(468)))).
-270*sqrt(13) - 10
Simplify ((2*sqrt(91)*1 - sqrt(91)) + sqrt(91) - 3*sqrt(91)*4)/(sqrt(756)/(sqrt(144)/sqrt(3))).
-20*sqrt(13)/3
Simplify ((4*-5*sqrt(96) + sqrt(96) - sqrt(96))/(-3*sqrt(18)/sqrt(6)))**2 + -2.
12782/9
Simplify (((sqrt(600) - (sqrt(600) - (sqrt(600) - (sqrt(600) - 2*sqrt(600) - sqrt(600)))) - -1*sqrt(24)*2)*1)/(sqrt(40)/(-5*sqrt(80))*-3))**2.
115600/3
Simplify (6*((3*(sqrt(1088) + sqrt(1088)*-5) + 2 - (sqrt(1088)*-1 + -1 + (sqrt(1088) + 1)*-2)) + -1))**2.
-20736*sqrt(17) + 3173184
Simplify ((sqrt(1408) + (2*sqrt(1408) - sqrt(1408) - sqrt(1408)) - sqrt(1408)) + -4*sqrt(44)/sqrt(2))/((sqrt(200) - sqrt(200)*5)*-3).
-sqrt(11)/30
Simplify ((sqrt(2688)*-1)/(sqrt(150)*3) + (-2*(sqrt(7) + sqrt(700)) - 3*(sqrt(7) - (-2 + sqrt(7)))))**2.
1352*sqrt(7)/5 + 807808/225
Simplify -3 + -2*(3 + sqrt(352)/sqrt(200) - (-3*sqrt(704) + -2))**2.
-328773/25 - 488*sqrt(11)
Simplify (sqrt(2299) + 2)**2*4*3 + (sqrt(171) + -5*(-1*sqrt(171) - sqrt(171)))/((sqrt(576) - -1*sqrt(576)) + sqrt(9)).
8987*sqrt(19)/17 + 27636
Simplify (-1*-1*2*sqrt(5616))/((sqrt(1536) - (sqrt(1536) + 2*sqrt(1536)))/(sqrt(648) + (sqrt(648) + -1*sqrt(648) - sqrt(648)) - sqrt(648))).
27*sqrt(13)/2
Simplify (-2 + sqrt(500) + 3 - -2*sqrt(500)*2) + -1*((4 + sqrt(500) + 0 + sqrt(500))**2 + -2).
-2013 - 110*sqrt(5)
Simplify -5*(6*sqrt(110)*-2 - (sqrt(110) - 6*(2*sqrt(110) - sqrt(110)) - sqrt(110)))/(5*-5*((sqrt(360) - (sqrt(360)*-2 - sqrt(360))) + sqrt(360))).
-sqrt(11)/25
Simplify 1*(-4*(-4*-2*sqrt(108)*-2*5 + -4))**2.
61440*sqrt(3) + 11059456
Simplify ((1*sqrt(450)*2 - (sqrt(450) - ((sqrt(450) + 1*sqrt(450))*5 + sqrt(450))))/(-5*((sqrt(150)/sqrt(5))/sqrt(3) + sqrt(10) - sqrt(320)/sqrt(2))))**2.
324/5
Simplify ((sqrt(209) + 3*((sqrt(209) - ((-4*sqrt(209) - sqrt(209)) + sqrt(209)) - sqrt(209) - sqrt(209)) + sqrt(209) + sqrt(209)))*4)/(4*sqrt(1100)*5).
8*sqrt(19)/25
Simplify (-3*-1*sqrt(240)*3)/((sqrt(420)/sqrt(63))/sqrt(12)).
108*sqrt(3)
Simplify ((sqrt(18) + 1*sqrt(2592) - (sqrt(198)/sqrt(44) - sqrt(18)))*-2)/(1*-5*sqrt(36)/sqrt(4)*-3).
-9*sqrt(2)/5
Simplify (1*3*((sqrt(3328) + 1 - sqrt(3328)) + -3 + 1)*5)**2.
225
Simplify (1*4*(sqrt(5) + -1))**2*-3 + (sqrt(2240)*-1 + sqrt(35))/(sqrt(77)/sqrt(176) + sqrt(7)).
-288 + 452*sqrt(5)/5
Simplify (4 + -3*(-3 + (sqrt(700) + 3 - sqrt(700))*-6*3 + -1) + -4)**2.
30276
Simplify -2 + 2*(1 + sqrt(1088)) + (1 + (sqrt(1088) - (sqrt(1088) + 0)))**2 - (-5 + -5 + sqrt(425)*-2*-4).
-24*sqrt(17) + 11
Simplify 6*((sqrt(84)/(sqrt(60)/sqrt(5)))**2 - (0 + sqrt(567) + sqrt(567))**2) + (sqrt(343) + 2*(sqrt(343)*1)**2)*1.
-12880 + 7*sqrt(7)
Simplify (-1 + sqrt(637) - sqrt(637)) + -4 + 3*sqrt(637) + -2 - ((sqrt(143)*2*3 + sqrt(143))/(sqrt(11)*-1*-3 + sqrt(11)))**2.
-749/16 + 21*sqrt(13)
Simplify -5 + (-3*2*(-1 + sqrt(19) + -1) - ((-1*sqrt(2736))**2 + 4)*1) + -1.
-2734 - 6*sqrt(19)
Simplify -4*(3 + -1*sqrt(1377) + -1 + 5*sqrt(1377) + 3)**2.
-88228 - 1440*sqrt(17)
Simplify 1 + 1 + sqrt(468) + -3 - ((sqrt(1053) + -6*(sqrt(1053) + sqrt(1053) + 1) + sqrt(1053))**2 + -1).
-105336 - 1074*sqrt(13)
Simplify ((sqrt(192) - (sqrt(192) - -1*sqrt(192))**2)*-5 - (sqrt(192) - 1*sqrt(192)*-6)) + ((2 + sqrt(192) + 0)*5 + 3)**2 + -5.
944*sqrt(3) + 8804
Simplify (-2*sqrt(490) - (sqrt(160)/sqrt(4) + sqrt(10)))/(sqrt(6)/(sqrt(75) + sqrt(3)) + (sqrt(72) + -3*sqrt(72) - sqrt(72))).
102*sqrt(5)/107
Simplify (6*sqrt(72)/sqrt(3)*-4*-1)/(sqrt(96)/(sqrt(588) + 1*sqrt(588) - sqrt(588))*-6).
-28*sqrt(3)
Simplify (sqrt(4)/sqrt(2)*-4*1)**2 + 3 - ((sqrt(1800)*-1 + sqrt(1800))/(2*sqrt(9)*-3))**2.
35
Simplify (3 + sqrt(363)*1 + -2)*-1 + (-3 + sqrt(363)*1 + -2*sqrt(363) + 5 + 1)**2.
-77*sqrt(3) + 371
Simplify (2*sqrt(1100))/(sqrt(180)/sqrt(5)) + (-4*(sqrt(110) + (-1*sqrt(110) - sqrt(110)) + sqrt(110)))/(sqrt(10) - sqrt(50)/(-1*sqrt(5))).
10*sqrt(11)/3
Simplify (1 + sqrt(12)/sqrt(36) - ((sqrt(3) + 1)*1*-6)**2) + ((sqrt(90) + -1*sqrt(90) - sqrt(90))/sqrt(6))/(sqrt(245) + -1*sqrt(245) + sqrt(245)).
-143 - 1508*sqrt(3)/21
Simplify (2*sqrt(209)*1)/(sqrt(11) - sqrt(11)*-2*-1) + -3 + (5*sqrt(304) + (-2*sqrt(76))/sqrt(4))**2.
-2*sqrt(19) + 6153
Simplify (-2 + 2*sqrt(68) + (-4*1*sqrt(68))**2)*-4 - (-4 + 5*(4 + sqrt(68)*-1)).
-4360 - 6*sqrt(17)
Simplify -5*((sqrt(156)/sqrt(4)*-5)/((sqrt(288)/sqrt(12))/sqrt(8))*3 + -1).
5 + 75*sqrt(13)
Simplify -1*(5 + sqrt(192) + 1)**2 - (sqrt(75) + 3 + sqrt(75) + -1 + sqrt(27))**2.
-739 - 148*sqrt(3)
Simplify -4*sqrt(26)/(sqrt(2) + sqrt(242)*2) - ((-3*sqrt(13))**2*3 - sqrt(143)/(sqrt(11)*-2)).
-351 - 31*sqrt(13)/46
Simplify -2 + (-1 + sqrt(847))*5 + (sqrt(63)/sqrt(48))/(sqrt(9)/sqrt(3)*-6).
-7 + 1319*sqrt(7)/24
Simplify (-4 + sqrt(12) - sqrt(12)) + ((3 + sqrt(3)*6)**2 - sqrt(3)) - (-5 + sqrt(75) + -2 + -4)**2.
-83 + 145*sqrt(3)
Simplify 5*(-2*sqrt(832) + sqrt(208) + 0 + (6*(0 + sqrt(325) + 0))**2).
-60*sqrt(13) + 58500
Simplify 6*(2*-1*sqrt(77)*-5)/((sqrt(448)*-2 + sqrt(448))*3)*-2.
5*sqrt(11)
Simplify ((1*-2*(1*sqrt(2793) - sqrt(2793) - sqrt(2793) - sqrt(2793)))/(sqrt(36)/(sqrt(96)/sqrt(8)) - sqrt(3) - (sqrt(75) - 5*sqrt(75))))**2.
931/25
Simplify 4 + (sqrt(3744)*-3)/sqrt(2) - ((5 + sqrt(832)*-1 - sqrt(832)) + sqrt(832)*1 + 3)**2.
-892
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 7*y + 726 = 5941. What are the prime factors of y?
5, 149
Let r(b) = b**3 - b**2 + 3. Let m be r(0). Suppose 3*a - 150 = -m*l, -l + 44 = a + 2*a. List the prime factors of l.
53
Let l = 404 + -91. What are the prime factors of l?
313
Let k be (-4)/(4/(-5)) + 4. Suppose -4*w - 125 = -k*w. List the prime factors of w.
5
Let t(n) = -24*n**2 + 27*n**2 - 3*n - 2 + 3*n. What are the prime factors of t(5)?
73
Suppose 3*b + 710 = 5*b. Suppose 5*u = -3*d + b, -3*d - 3*u + 160 = -191. What are the prime factors of d?
5, 23
Suppose -4*k + 215 = q, -q = -6*q - 5*k + 1060. What are the prime factors of q?
211
Suppose -n - 47 = -5*m - 4*n, 4*n = 5*m - 19. Suppose 2*c - l = 0, m*l - 2*l - 20 = 0. Let z(v) = 10*v**2 - v - 4. List the prime factors of z(c).
2, 17
Let d(b) = 942*b - 176. What are the prime factors of d(4)?
2, 449
Let h = 5 - 1. Let p be (h - -1)*(-44)/10. List the prime factors of p/(-33) + 79/3.
3
Let x(h) = -24*h - 2. Let r be x(-4). Suppose 2*u - 4*u + r = 0. List the prime factors of u.
47
Suppose h = -d - 0*d + 3379, 2*h = 3*d + 6773. List the prime factors of h.
2, 19, 89
Let a(p) = -4 + 3*p**3 - 10*p**2 + 4*p**2 - 4*p**3 - p. Let d be a(-6). Suppose d*f + 2*f - 8 = 0. What are the prime factors of f?
2
Let y(q) be the third derivative of -5*q**4/12 + 3*q**3/2 + 20*q**2. What are the prime factors of y(-17)?
179
What are the prime factors of 30/(-105) - (-331)/7?
47
Let m(w) = -17*w**2 - w - 3. Suppose -2*o - 6 = o. Let u be m(o). Let i = 131 + u. What are the prime factors of i?
2, 31
Let h(o) = o**2 - 13. Let b be h(-4). Let u(a) = 2*a**3 + 2*a**2 + 5*a + 2. List the prime factors of u(b).
89
Let r(c) = 18*c**2 - 14*c - 3. What are the prime factors of r(5)?
13, 29
Suppose 38*g + 522 = 44*g. What are the prime factors of g?
3, 29
Suppose 2*f - 28 = 3*s + 52, f + 92 = -4*s. Let v = s - -25. List the prime factors of 32 - (0 + 2)*v.
2, 3, 5
Let z be (-3)/(1*(-3)/4). Suppose -2*b - b = z*l - 203, 4*l - 221 = 3*b. What are the prime factors of l?
53
Let t(m) = 30 + 13*m - 8*m - 9*m. List the prime factors of t(7).
2
Suppose 0 = 2*c + 20 + 12. Suppose 0*w - 5*w + 60 = 0. Let m = w - c. List the prime factors of m.
2, 7
Suppose v - 86 = -4*a, 0*v - 3*v + 27 = a. Suppose -4*u - a + 121 = 0. List the prime factors of u.
5
Suppose 4*w - 2*z + z - 2297 = 0, -1694 = -3*w - 5*z. What are the prime factors of w?
3, 191
Suppose -2*m + 0*m = -272. Suppose -3*v + 80 = 2*i, 2*v - 7*v = 2*i - m. What are the prime factors of v?
2, 7
Let n be (-210)/9*3*1. Let a = n + 117. Suppose 0*i - 2*k + a = 3*i, -2*i + 30 = 2*k. What are the prime factors of i?
17
Suppose -9*w - 5 - 4 = 0. Let n be (-3 + w)/((-18)/225). Suppose -t = t - n. What are the prime factors of t?
5
Let k be (6 + -1)*8/10. Suppose 0 = -k*y + 8*y - 380. Suppose 0*q + y = 5*q. List the prime factors of q.
19
Let j(z) = -z**2 - 17*z + 111. List the prime factors of j(-21).
3
Let c(k) = 5*k - 25. Let i be c(6). Suppose 5*y + 4*x = 332 + 33, 5*y + i*x = 365. What are the prime factors of y?
73
Let o(j) = -241*j - 66. List the prime factors of o(-3).
3, 73
Let n(t) = 7*t - 14. Let y be 5/15 + 7/(-3). Let z be (1 + 17)*y/(-6). What are the prime factors of n(z)?
2, 7
Let b = -1 - -6. Suppose -3*q + b*q = 10. Suppose -17 + 87 = q*n. What are the prime factors of n?
2, 7
Let u be (3/6 - 0) + (-172)/(-8). Let o = 101 - u. What are the prime factors of o?
79
Suppose 0 = -3*q - 2*h + 12 + 1, -3*h = -5*q + 9. Let l(p) = -2 + 11*p**2 + 4*p + 2*p**3 - 3*p**2 - p**q + 1. What are the prime factors of l(-7)?
2, 5
Let s(o) = o**3 + 6*o**2 - 6*o - 2. Suppose 0 = 4*k + 3*k + 35. What are the prime factors of s(k)?
53
Let n = 1 + 3. Suppose 8*g - 276 = n*g. Suppose g = 3*i - 30. What are the prime factors of i?
3, 11
Suppose -3*s = 134 - 35. Let l = 93 + s. Suppose -h = -2*h + l. What are the prime factors of h?
2, 3, 5
Suppose 2*y - y = 2*a + 4, -a = 0. Suppose -5*o - 3*q + 237 = -o, -4*o - y*q = -240. List the prime factors of o.
3, 19
List the prime factors of 6/14 + (-71578)/(-91).
787
Suppose 13*c = c - 360. List the prime factors of (-6835)/c - (-1)/6.
2, 3, 19
Let j be 3/12 + 26/(-8). Let c be 2 + 32/(j + 7). Let y = c + -1. List the prime factors of y.
3
Let k = 5 - 11. Let y be (1 + -2)*k/1. What are the prime factors of (70/(-30))/((-1)/y)?
2, 7
Suppose 3*z + 72 = 852. What are the prime factors of z?
2, 5, 13
Suppose 5*r + 4*z = 338, -5*z + 21 = r - 55. Suppose -300 = -4*c + 3*q, 0*c - r = -c + 3*q. What are the prime factors of c?
2, 3, 13
Let f(t) = -10*t + 178. What are the prime factors of f(6)?
2, 59
Suppose -32*f = -24*f - 384. What are the prime factors of ((10/(-3))/(-1))/(f/1944)?
3, 5
Let g(t) = -t**3 + 10*t**2 + 7*t + 6. Let d be g(7). Let k = d + -134. Suppose k = 9*z - 7*z. List the prime factors of z.
2, 17
Let b = 3 - -2. Suppose -6*c + 20 = -b*c. Let o = 8 + c. What are the prime factors of o?
2, 7
Suppose 4*d = 0, 0 = -4*p + 5*d - 3 - 1. Let h be 11 - 0 - 1/p. Let b = 10 + h. What are the prime factors of b?
2, 11
Suppose 3*c = -106*s + 105*s + 4114, 5486 = 4*c + s. List the prime factors of c.
2, 7
Let t = -1802 + 3922. What are the prime factors of t?
2, 5, 53
Suppose 13*c - 240 = 8*c. Suppose 4*w = -0*w + c. Suppose 2*v + v - w = 0. List the prime factors of v.
2
Suppose -4*j + 12 = 0, -s + j + 388 = -j. What are the prime factors of s?
2, 197
Suppose 6*j = -8*j + 18956. List the prime factors of j.
2, 677
Suppose -4*a = o - 42, -4*o + 7*o + 3*a = 171. What are the prime factors of o?
2, 31
Suppose 8*x - 2838 = 4938. List the prime factors of x.
2, 3
What are the prime factors of 5553/27*72/4?
2, 3, 617
Let l = 7 + -6. What are the prime factors of (5 - (l + 6))/((-2)/37)?
37
What are the prime factors of ((-66)/4)/((-105)/12390)?
3, 11, 59
Let b = -8 - -11. Let x(o) = 6*o - 4 - 6*o**2 + 5 - b*o + o**3. What are the prime factors of x(6)?
19
Let v = 12 - 9. Let s be v/2*20/(-15). List the prime factors of 52/2 + (s - -3).
3
Let w = -3265 + 4873. List the prime factors of w.
2, 3, 67
Suppose 82317 = 24*m - 29307. What are the prime factors of m?
4651
Suppose 0*c = 2*c - 258. Let t = c - 82. What are the prime factors of t?
47
Suppose -10 = -2*c + c - 5*a, 0 = -5*c - 5*a + 30. Suppose c*g - 227 = 2*l + 132, l = 3. List the prime factors of g.
73
Let b be (-2)/14 + 55/(-7). What are the prime factors of 9*28*b/(-12)?
2, 3, 7
Suppose 0 = -4*a + 54 + 22. Let m = a + -14. Suppose -m*p = -3*i + 28, 3*i + 4 = 2*i - 5*p. List the prime factors of i.
2, 3
Let m = 9 + -6. Suppose -5*y = m*f - 112, -20 = 4*y + 5*f - 120. What are the prime factors of y?
2, 5
Suppose 8 = 3*c - 7*c. What are the prime factors of ((-20)/25)/(c/40)?
2
Let v(i) = 4*i**3 - i**2 + 5*i - 6. Let n be v(3). Suppose 3*l + n = 5*l. What are the prime factors of l?
2, 3
Let t be (-3 - -13)*3/(-2). Let z = t - -17. Suppose 2*w + 17 = z*i - w, 26 = 3*i - 4*w. What are the prime factors of i?
2, 5
Suppose -15 = 5*h, k + 4*h - h = 25. Suppose 0 = -5*j - 15 - 40. Let t = k + j. What are the prime factors of t?
23
Suppose 0 = 3*h - 4*h + 1. Let l be h*-12*13/(-26). List the prime factors of -2*l/(-4) - -44.
47
Let u(y) = y**3 - 2*y**2 - 5*y - 2. Suppose -2*r - 3 = -9, -2*r - 14 = a. Let i be (-24)/a*(-30)/(-9). What are the prime factors of u(i)?
2, 5
Let l = -7 - 3. Let r(a) = a**2 + 11*a + 8. Let f be r(l). List the prime factors of 2/f - (-1 + -10).
2, 5
Let w = 49 - 92. Let i = -26 - w. Suppose -21*s + i*s + 28 = 0. What are the prime factors of s?
7
Suppose -10*a = -12*a + 1504. What are the prime factors of a?
2, 47
List the prime factors of 4/((-24)/(-78))*27.
3, 13
Let l = -1504 - -5228. What are the prime factors of l?
2, 7, 19
Let i be (-2)/10*(-210)/14. Suppose 3 = -w + 4*w, 0 = i*a + w - 496. List the prime factors of a.
3, 5, 11
Suppose -10189 + 2097 = -17*p. List the prime factors of p.
2, 7, 17
Let m(h) = -4*h**3 + 34*h**2 - 57*h - 58. Let q(v) = -v**3 + 11*v**2 - 19*v - 19. Let f(l) = -2*m(l) + 7*q(l). What are the prime factors of f(-8)?
199
Suppose -32976 + 3447 = -17*n. List the prime factors of n.
3, 193
What are the prime factors of -93*((-4)/(-3))/((-24)/732)?
2, 31, 61
Let q = 28 + -16. Let j be ((-36)/8)/((-9)/(-12)). What are the prime factors of (-20)/j + 8/q?
2
What are the prime factors o
|
{
"pile_set_name": "DM Mathematics"
}
|
r when k is divided by 16?
15
Suppose y + 76 = 5*v, -5*v - 5*y - 18 = -88. Calculate the remainder when v is divided by 4.
3
Suppose 5*s - s = 0. Suppose s*x - 10 = -x. What is the remainder when 30 - ((2 - 4) + 4) is divided by x?
8
What is the remainder when 14/(-2)*(-210)/147 is divided by 3?
1
Let a be 80/(-36) + (-2)/(-9). Suppose 3*q = -4*h + 93, -4*h + 145 - 25 = 4*q. What is the remainder when q is divided by 11 + (3/3 - a)?
13
Let t(i) = -2*i - 18. Let v be t(-8). What is the remainder when 21 is divided by (-12 + 13)/(v/(-12))?
3
Let n = -32 - -42. What is the remainder when 11 is divided by n?
1
Let z = 39 + -10. What is the remainder when z is divided by 10?
9
Let j = 25 + -14. Let y(v) = 33*v + 1. Let x be y(1). Let k = x + -13. Calculate the remainder when k is divided by j.
10
Let a(b) = b**3 + 10*b**2 - 3*b - 10. Let z be 5/(6/4 - 2). What is the remainder when 58 is divided by a(z)?
18
Let p be -10 - (3 + (1 - 2)). Let z be (-2)/p - 5/(-6). Let m = z + 21. Calculate the remainder when 42 is divided by m.
20
Suppose -3*w + 40 - 127 = -4*q, -4*q - 145 = 5*w. Let b = -13 - w. What is the remainder when 62 is divided by b?
14
What is the remainder when 4/(4*4/192) is divided by 9?
3
Let c(q) = -3*q**3 - q + 2. What is the remainder when c(-2) is divided by 17?
11
Let c = 52 - 37. Calculate the remainder when 58 is divided by c.
13
Let t(g) = g**3 - 8. Let c be (-1 + (-1 - -2))/(-1). Let l be t(c). Let h = l + 14. What is the remainder when h is divided by 4?
2
Let o = -66 + 108. Calculate the remainder when o is divided by 11.
9
Calculate the remainder when 18 is divided by (5/(-15))/((-1)/21).
4
What is the remainder when (9 - (-9)/(-9)) + 58 is divided by 17/(0 - -1) - 0?
15
Let a = 2 + -2. Calculate the remainder when 34 is divided by 17 + a - (2 - 3).
16
Let x be (-4 - -1)/(3/(-2)). What is the remainder when 0 + -2 + 61 - -2 is divided by 2 + (40/x - 1)?
19
Let r(q) be the third derivative of q**5/60 - q**4/12 - q**3/3 + 2*q**2. Let b be r(-6). Suppose 0 = -2*i + b. Calculate the remainder when i is divided by 8.
7
Let i = -33 + 105. Calculate the remainder when i is divided by 19.
15
Let y(m) = 33*m**2 - m - 2. Let d be y(2). Suppose -3*w + 86 = p - 5*p, 4*w - 2*p - d = 0. Calculate the remainder when w is divided by 9.
7
Suppose 6 = 3*q - 0. Suppose -3*s - q = -35. What is the remainder when 19 is divided by s?
8
Let p = 16 + -10. Let c(z) = -2*z + 11 - 4*z + z + 4*z. Calculate the remainder when c(p) is divided by 3.
2
Let l(b) = 2*b**2 - b + 4. Let x = 5 + 0. Suppose 3*h + 20 = x*o - 14, -o + 8 = -h. Calculate the remainder when l(3) is divided by o.
4
Let o(m) = -m**2 + 6*m - 5. Let f be o(5). Let a = -153 + 216. Suppose a = 3*j - f*j. What is the remainder when j is divided by 11?
10
Let c = -1 - -1. Suppose c = -a - 3*a - 120. Let j = a + 63. Calculate the remainder when j is divided by 17.
16
Suppose -5*p = 4*a - 33 - 40, -4*p + 3*a + 46 = 0. What is the remainder when 35 is divided by p?
9
Suppose -2 - 4 = 3*r. Let h = 2 - r. Suppose 0 = h*t - 53 - 27. Calculate the remainder when t is divided by 11.
9
Let n = -46 - -66. Let a = 57 - 1. Suppose -54*x = -a*x + 116. Calculate the remainder when x is divided by n.
18
Suppose -f + 33 = 2*f + 3*a, -5*a + 10 = 0. What is the remainder when 34 is divided by f?
7
Let h be (-8)/(-12) + (-5)/3. Let m = 3 + h. What is the remainder when m is divided by 1?
0
Let n(d) = -d**2 - 12*d - 17. What is the remainder when 64 is divided by n(-7)?
10
Let n(h) = h**2 - 12*h + 21. Calculate the remainder when 17 is divided by n(11).
7
Suppose -o = -0*o - 2*v - 28, 5*o - 98 = -4*v. What is the remainder when 108 is divided by o?
20
Let d(s) = 3*s**2 + 13*s - 7. Let u(q) = -2*q**2 - 6*q + 4. Let h(k) = 3*d(k) + 5*u(k). What is the remainder when h(8) is divided by 1 + (2 - 0) - -1?
3
Let w = 24 + -16. Calculate the remainder when w is divided by 5.
3
Suppose 3*d = -d + 52. What is the remainder when 100 is divided by d?
9
Suppose 28 = l + 5*r - 0*r, -6 = -2*r. Suppose 0 = 4*w + 20*w - 1200. Calculate the remainder when w is divided by l.
11
Let s(v) = -v + 7. Calculate the remainder when s(-8) is divided by 4.
3
Let c(d) = d - 2. Let r be c(2). Suppose r*w + 3*w - 30 = 0. What is the remainder when 19 is divided by w?
9
Let t(j) = -2*j - 20. Calculate the remainder when 41 is divided by t(-17).
13
Suppose -20 = -4*h + 2*h. Suppose -k + 5 - 1 = 0. What is the remainder when h is divided by k?
2
Let r(c) = 2*c - 3. Suppose 9*m = 4*m - 2*x + 192, -124 = -3*m + x. What is the remainder when m is divided by r(12)?
19
Suppose -5*f + 3*g = 18, -13 = 3*g - 1. Let p(t) = t**2 - 4*t - 7. What is the remainder when p(f) is divided by 18?
17
Suppose 0*o = 5*o - 20. Suppose -o*w + 4 = -12. What is the remainder when 7 is divided by w?
3
Let f = -18 - -31. Suppose -2*n - 2*d = -22, 11 = 2*n + 3*d - f. Calculate the remainder when 35 is divided by n.
8
Let f be ((-1)/(-2) - 0)*42. Suppose 0 = -4*t + 43 + f. Suppose t = 3*v - 8. Calculate the remainder when 14 is divided by v.
6
Calculate the remainder when -2*4/(-16)*106 is divided by 14.
11
Let v(m) = -8*m + 1. What is the remainder when v(-3) is divided by 7 + 0/(6/2)?
4
Let z(a) = a**3 - 9*a**2 - 11*a + 14. Let r be z(10). Suppose -3*g - 2 + 14 = 3*s, 4*s = -20. What is the remainder when ((-2)/r)/(1/(-50)) is divided by g?
7
Calculate the remainder when 203 is divided by ((-82)/(-4) - 0)/(21/42).
39
Suppose 104*x = 107*x - 48. Suppose 3*v + 29 - 118 = -2*k, 3*v - k = 95. Calculate the remainder when v is divided by x.
15
Let r(h) = 6*h**3 - 1. Let l be r(1). Suppose -l*a + 55 = -0*a. Calculate the remainder when 19 is divided by a.
8
Suppose -x - 1 = 0, 0*j + 5*x = j - 46. What is the remainder when j is divided by 11?
8
Let n = 53 - 53. Let j(l) = l**3 - l**2 - 3*l**3 + 3*l**3 + 11. Calculate the remainder when j(n) is divided by 6.
5
Suppose -95 = -5*r - 5*o, 5*o = -0*r - 2*r + 38. Let v = 0 - -4. Suppose 0 = v*f - 84 - 136. Calculate the remainder when f is divided by r.
17
Let m be 12/(-42) - 970/(-14). Suppose 5*w - m = 6. Calculate the remainder when w is divided by 6.
3
Let n(i) = i**3 - 3*i**2 - 4*i + 3. Let t be n(4). Suppose t*v - 21 = -0*v. Let g(w) = w - 2. What is the remainder when 9 is divided by g(v)?
4
Let s be (4/5)/((-3)/15). Let i(k) = k**2 - k - 4. Calculate the remainder when i(s) is divided by (-20)/(-3) + 4/(-6).
4
Let v = 126 - 104. What is the remainder when 108 is divided by v?
20
Let p(v) = 3*v**3 - 2*v**2 - 1. Suppose 2*u = -0*u - 8. Let k = u - -6. Calculate the remainder when 44 is divided by p(k).
14
Let s = 59 + -52. Calculate the remainder when s is divided by 5.
2
Let h = 25 - 10. Suppose -223 = -4*y + 5. What is the remainder when y is divided by h?
12
Let o = 151 - 104. Suppose -4*v + h = 8, 4*v - 3*h = 2*h - 24. What is the remainder when o is divided by 2/(v + (-27)/(-24))?
15
Let i = -11 + 20. Let d be 6*(1 - (-6)/(-9)). Suppose -g + i = d*g. Calculate the remainder when 5 is divided by g.
2
Calculate the remainder when 3/((-9)/(-66)) + 0 is divided by 6.
4
Calculate the remainder when (6 + -7)*(-27 + -1) is divided by 12/(-66) + 224/22.
8
Suppose 32 = 2*v + 3*l - 5, -3*l + 9 = 0. Suppose -f + 37 = 33. Calculate the remainder when v is divided by f.
2
Let c be 44 + -1 + 11 + -8. Suppose -k + 12 = -c. What is the remainder when k is divided by 15?
13
Let t(x) = x**3 + 3*x**2 + x - 2. Suppose 0 = 6*g - 2*g + 8. Let a be t(g). Suppose a*q - 68 = -2*q. What is the remainder when q is divided by 12?
10
Suppose -6*p + p = m - 6, 5*m + 3*p = 52. Let y be (-14)/(-4) - (-4)/(-8). Suppose 4*f = y*f + 21. What is the remainder when f is divided by m?
10
Suppose -156 = -3*s - 18. Calculate the remainder when 49 is divided by 4 + -2 + s/2.
24
Suppose 9*d - 370 = -d. What is the remainder when d is divided by 10?
7
Let u be -3*(-7)/(42/4). Suppose -5*m + 25 = 0, -4*c + u*m - 6*m = -64. Suppose -3 = -w, 2*w + 13 - 50 = -h. Calculate the remainder when h is divided by c.
9
Let k(z) = -18*z. Calculate the remainder when k(-1) is divided by 4.
2
Let m be ((-165)/(-25))/((-2)/(-10)). What is the remainder when 2/(3/75 - 0) is divided by (m - -1)*(-4)/(-8)?
16
Calculate the remainder when 357/5 - 3*(-14)/(-105) is divided by 24.
|
{
"pile_set_name": "DM Mathematics"
}
|
n divisor of 1878 and d?
6
Let p be 49/(-14) + 4136/16 + 5. Calculate the greatest common divisor of 4524 and p.
52
Let p be -2*(9/6)/(-3). Let z = 61 + -56. Suppose 0 = -4*o - z + 37. Calculate the greatest common factor of o and p.
1
Let f(b) = 73*b**2 - 77*b - 293. Let q be f(-4). Calculate the greatest common divisor of 14 and q.
7
Let a(b) = -2*b - 66. Let y(m) = 4*m + 134. Let p(u) = 7*a(u) + 4*y(u). Let h be p(-32). What is the highest common divisor of 250 and h?
10
Let h(f) = 8*f - 24. Let l be h(7). Let m(c) = -2*c**3 + c**2 + 12*c - 12. Let a be m(-6). Calculate the greatest common divisor of l and a.
32
Suppose -3*d - z = -3377, 5675 = 5*d - 116*z + 111*z. What is the highest common factor of d and 1833?
141
Suppose -3874 - 3941 = -4*o + 1513. What is the highest common factor of o and 66?
22
Suppose 4778 + 1072 = 47*x - 17*x. Calculate the greatest common factor of x and 1495.
65
Let q = -3873 + 4115. What is the greatest common divisor of q and 605?
121
Suppose -4*g - 23 = -4*r - 47, -r = 4*g + 1. Let w(n) = -n**3 - 5*n**2 - 10*n - 16. Let s be w(r). Calculate the highest common factor of 391 and s.
17
Suppose 9*i - 37740 = 6*i - 71*i. Calculate the greatest common divisor of i and 20.
10
Suppose 21262*v - 9130 = 21252*v. Calculate the greatest common divisor of 498 and v.
83
Let g be 17 + 4 + 1 + 3. Suppose -112*i = -107*i - g. Suppose -8*y + 29 = i. What is the highest common factor of y and 9?
3
Let r(l) = 22*l + 82. Let q be r(-4). Let y be (0 + q/4)/((-4)/152). What is the greatest common divisor of 19 and y?
19
Let t be 3 + -8 + (-3)/(-1). Let v be t - (-2 + 3)*-7. Suppose 3*h = -v*h + 96. What is the greatest common divisor of 24 and h?
12
Let b be (-246)/8*(-2040)/544*(-32)/(-6). Suppose q = 3*q - 30. What is the greatest common divisor of q and b?
15
Let x(a) = 75*a**2 - 17*a - 112. Let c be x(-5). What is the highest common divisor of 224 and c?
56
Let d = -21 + 30. Let w(c) be the first derivative of 5*c**2/2 - 9*c - 17. Let m be w(2). Calculate the greatest common divisor of d and m.
1
Let a = -16060 + 16102. Calculate the highest common divisor of 9723 and a.
21
Suppose 6*b + 252 = 5*w + 3*b, w - 48 = 3*b. Suppose s - 339 + w = 0. Let q = s + -168. Calculate the highest common divisor of q and 30.
30
Suppose -106*k + 228*k - 57024 = 89*k. What is the greatest common divisor of k and 84?
12
Let r(h) = h**2 - 15*h + 13357. Let c be r(0). What is the greatest common factor of c and 37?
37
Suppose -5*l = g - 2671, 0*l - 2*g + 2667 = 5*l. Suppose -28*w + l = 31. Let p = 16 + 2. What is the highest common divisor of w and p?
18
Let j(i) = 34*i**2 - 104*i - 432. Let d be j(-4). Calculate the highest common divisor of 99 and d.
33
Let l be 5650/(-226) - (0 + -57). Calculate the highest common divisor of l and 584.
8
Suppose -3*s = -12 + 3. Let k(a) = -2*a**3 + 0*a - 2 - 7*a**2 + s*a**3 + a + 0*a**3. Let y be k(8). Calculate the greatest common factor of y and 10.
10
Let x(l) = l**2 - l + 5. Let b be x(0). Let g = 502 + 5. Let u = 509 - g. What is the highest common factor of b and u?
1
Let y be (-36)/(-162) - 26546/(-18). What is the greatest common factor of 236 and y?
59
Let g(m) = -6*m**3 + m**2 - 2. Let c be g(-1). Let i(f) = 13*f**2 - 32*f + 15. Let d be i(c). Calculate the highest common factor of d and 20.
20
Let t = 12701 - 8845. Calculate the highest common factor of t and 2651.
241
Let y = 29799 - 25136. Calculate the highest common divisor of y and 1.
1
Suppose 0 = 2*f + 2*w - 92, -3*f - f + 200 = -4*w. Let g = 5312 + -5300. Calculate the highest common divisor of f and g.
12
Suppose 0 = -4*r + 2*o + 3698, -4*r - 3*o - 564 + 4257 = 0. Suppose -297 = -3*z + r. What is the highest common factor of 11 and z?
11
Suppose 0 = 169*t + 16*t + 22*t - 8694. Let p = -7 - -13. Let g be (-45)/p*(0 + -14). Calculate the greatest common divisor of t and g.
21
Suppose -43 = 54*t - 57*t + 2*n, 5*n = 3*t - 40. What is the highest common divisor of t and 245?
5
Let z(c) = c**3 + 13*c**2 + 40*c - 8. Let t be z(-11). Let q = 326 + t. What is the greatest common factor of 45 and q?
15
Let w = 31626 - 17989. What is the highest common factor of w and 13?
13
Let g be 5/3*(-7 - 14). Let s = g - -25. Let v(n) = n**2 + 8*n - 11. Let c be v(s). Calculate the highest common factor of 18 and c.
9
Let l(f) = -23*f - 179. Let i be l(-7). Let z be (22720/18 - (-4)/i) + -4. Calculate the greatest common factor of 74 and z.
74
Suppose 87*l + 141*l - 3312 - 5352 = 0. Let m be 416/1 + (2 - 0). What is the greatest common divisor of l and m?
38
Suppose 255 - 753 = -6*t. Calculate the highest common divisor of t and 1079.
83
Let u = -14 - -29. Let v be (-2)/(-13) + (20496/104)/(-7). Let w be v/(-3) - 14/(-21). What is the greatest common divisor of w and u?
5
Let l = 16896 - 16827. Let w be 92*(-3 + 0 + 4). Calculate the greatest common factor of l and w.
23
Suppose -75*b = -297934 - 46766. What is the highest common factor of 12 and b?
12
Let h = 56 - 23. Suppose -4*a = -h - 7. Suppose -2*p = -a*p + 648. Calculate the highest common divisor of 3 and p.
3
Let c(u) = 244*u**2 - 58*u + 196. Let y be c(4). Calculate the greatest common factor of y and 4.
4
Let j(i) = i**3 - 13*i**2 + 26*i - 13. Let q be j(13). Suppose -p - 2*y - y + 49 = 0, 0 = -5*p + y + q. Calculate the highest common factor of p and 160.
32
Suppose 251*f - 255*f = -4*a + 1156, 4*a - 2*f = 1156. What is the greatest common divisor of 136 and a?
17
Let s(t) = t**2 - 14*t + 13. Let v be s(13). Suppose 38*j - 35*j - 30 = v. What is the greatest common divisor of j and 55?
5
Let x(b) = 42*b + 175. Let k be x(-4). Suppose 1310 = 2*d + 2*m, 3*d - k*m - 1985 = -6*m. Calculate the highest common divisor of d and 180.
60
Let p(x) = -x - 26. Let q be p(-30). Suppose 2*c = -3*s - 20 + 133, q*s = 3*c - 161. Calculate the highest common divisor of c and 220.
55
Suppose -100*q + 4919 = 166*q - 933. Let y be (-3 - -1)*22/(-4). What is the highest common factor of y and q?
11
Let w(u) = u**2 + 9*u - 16. Let f be w(-11). Let o = 27 - f. What is the greatest common factor of 28 and o?
7
Let c = 55 + -39. Suppose -36*v + 17*v + 16112 = 0. Calculate the highest common divisor of c and v.
16
Let d(l) be the first derivative of 55*l**2 + 21. Let n be d(1). Let x = 136 - n. What is the greatest common factor of 2 and x?
2
Suppose -19*w = -4*h - 15*w + 76, w - 45 = -3*h. Suppose -3*y - 53 = -k, -3*y - 117 = -2*k - 8*y. Calculate the highest common divisor of h and k.
8
Let p be (-6 - -3) + (5 - (-10 - 31)). What is the greatest common factor of 2623 and p?
43
Let x(n) = -1685*n - 8631. Let k be x(-9). Calculate the highest common divisor of k and 6.
6
Suppose -26*r + 22*r = 2*q - 214, 3*q = -4*r + 217. What is the greatest common factor of 7228 and r?
52
Suppose 12*c + 17*c - 2945 = 28172. What is the greatest common factor of c and 116?
29
Suppose 198*d - 194*d + 5*o - 2034 = 0, -3*o + 1524 = 3*d. What is the highest common factor of d and 110?
22
Let q = -2432 - -2616. Let t(z) = 2*z + 1. Let k be t(1). Let u(n) = 4*n**2 + 3*n + 1. Let o be u(k). What is the greatest common divisor of o and q?
46
Let f(c) = 22*c**2 - 26*c - 4. Let i be f(8). What is the highest common factor of i and 520?
52
Suppose -122*f - 21 = -129*f. Let d(n) = -24*n + 95. Let s be d(f). What is the highest common factor of 23 and s?
23
Let g = 336 + -456. Let r be (g/7)/(39/(-819)). Calculate the greatest common factor of r and 40.
40
Let f = -15 + 27. Let h(n) be the first derivative of -4*n**2 - 20*n + 1. Let j be h(-4). Calculate the highest common factor of j and f.
12
Let q = 2858 - 2671. Suppose 15*y = 23*y - 440. What is the highest common factor of y and q?
11
Let d = 285 + -279. Let v be (5 - 11)/(2/(-9) + 0). Calculate the highest common factor of d and v.
3
Let y(h) = h + 1. Let s be y(5). Suppose 0 = 3*v - 8*v + 1480. Suppose -4*x + 2*o - 32 = -v, 5*o = -3*x + 198. Calculate the highest common factor of x and s.
6
Let x(n) = -7*n**2 + 225*n - 232. Let z be x(31). Calculate the greatest common divisor of 54 and z.
2
Suppose 4*z = 20, -2*d + 19 = -d + 4*z. Let r be (d + -11 - (-32)/(-16))*-2. Calculate the highest common divisor of r and 8.
4
Let h = 4826 - 857. What is the highest common factor of 49 and h?
49
Let f = -5
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1)*(f + 299)/4
Solve -2*z**5 - 224*z**4 - 168*z**3 + 175284*z**2 - 1614870*z - 1790100 = 0 for z.
-102, -39, -1, 15
Factor 2*a**3 + 756*a**2 - 782*a - 9096.
2*(a - 4)*(a + 3)*(a + 379)
Factor -16*h**4 + 1085928*h**3 - 18425890561*h**2 + 9212741670*h - 1151584225.
-(h - 33935)**2*(4*h - 1)**2
Factor 3*h**4 - 891*h**3 + 2592*h**2 + 15876*h.
3*h*(h - 294)*(h - 6)*(h + 3)
Factor o**4 + 2054*o**3 + 12297*o**2 + 18432*o.
o*(o + 3)**2*(o + 2048)
Factor -a**2/4 - 82*a + 121329/4.
-(a - 221)*(a + 549)/4
Factor -2*b**5 - 42*b**4 + 92*b**3 - 4*b**2 - 90*b + 46.
-2*(b - 1)**3*(b + 1)*(b + 23)
Determine q so that q**5/7 + 12018*q**4/7 + 35999757*q**3/7 - 650918916*q**2/7 + 2933522244*q/7 = 0.
-6018, 0, 9
Suppose -j**4 + 23*j**3 + 633*j**2 - 4355*j + 3700 = 0. What is j?
-20, 1, 5, 37
Factor -5*s**3 + 27690*s**2 - 38336805*s.
-5*s*(s - 2769)**2
Determine g, given that 2*g**4/7 + 32*g**3 - 13554*g**2/7 + 30672*g - 1053216/7 = 0.
-159, 12, 23
Solve n**5 - 140*n**4 + 5033*n**3 - 8962*n**2 - 20148*n + 38088 = 0 for n.
-2, 2, 69
Suppose -3*d**3 + 80898*d**2 - 545373867*d = 0. What is d?
0, 13483
Suppose -3*d**2 - 705666*d + 705669 = 0. Calculate d.
-235223, 1
Factor -3*o**3/5 - 1419*o**2/5 - 67704*o/5 - 853788/5.
-3*(o + 26)**2*(o + 421)/5
Factor -5*o**3 - 211415*o**2 + 422845*o - 211425.
-5*(o - 1)**2*(o + 42285)
Determine q so that 5*q**5 + 3530*q**4 - 46885*q**3 - 107850*q**2 = 0.
-719, -2, 0, 15
Factor p**3/2 + 46*p**2 - 1011*p/2 + 459.
(p - 9)*(p - 1)*(p + 102)/2
Solve -u**5 + 2*u**4 + 71*u**3 - 72*u**2 = 0 for u.
-8, 0, 1, 9
Factor 3*r**4 - 1545*r**3 + 22398*r**2 + 51000*r.
3*r*(r - 500)*(r - 17)*(r + 2)
Solve -i**2/6 + 678*i + 742525/6 = 0.
-175, 4243
Let -4*c**5 + 292*c**4 - 1116*c**3 + 812*c**2 + 1120*c - 1104 = 0. Calculate c.
-1, 1, 2, 69
Solve g**3 - 154789*g**2 - 619168*g - 619172 = 0.
-2, 154793
Solve 242*m**3 + 156618*m**2 - 600642*m + 574182 = 0.
-651, 21/11
Suppose -w**3/3 - 16838*w**2 + 151549*w/3 - 33678 = 0. Calculate w.
-50517, 1, 2
Factor 37*z**3 + 15763*z**2 + 1679079*z + 45369.
(z + 213)**2*(37*z + 1)
Factor 3*q**5 + 63*q**4 + 198*q**3 - 4080*q**2 - 35712*q - 82944.
3*(q - 9)*(q + 6)*(q + 8)**3
Factor -4*d**2/7 + 2896*d/7 - 53580/7.
-4*(d - 705)*(d - 19)/7
Let 48*i**3/7 + 10558*i**2/7 + 20488*i/7 - 872/7 = 0. What is i?
-218, -2, 1/24
Let -5*q**5 - 10*q**4 + 1285*q**3 + 2570*q**2 - 1280*q - 2560 = 0. Calculate q.
-16, -2, -1, 1, 16
Factor -14*i**2/11 + 1186*i/11 - 1992/11.
-2*(i - 83)*(7*i - 12)/11
Find o such that -o**2/3 + 172*o - 15561 = 0.
117, 399
Determine l so that -3*l**5 + 366*l**4 - 351*l**3 - 1464*l**2 + 1452*l = 0.
-2, 0, 1, 2, 121
Factor -h**3/8 - 59*h**2/4 - 220*h + 500.
-(h - 2)*(h + 20)*(h + 100)/8
Factor -13*v**2/3 + 12802*v/3 + 15776/3.
-(v - 986)*(13*v + 16)/3
Determine h, given that -3*h**3 - 10782*h**2 - 10779*h = 0.
-3593, -1, 0
Find t such that 53138*t**2/5 - 30644*t/5 + 4418/5 = 0.
47/163
Determine f, given that -5*f**2 - 142465*f + 854970 = 0.
-28499, 6
Let 54*i**4 - 280*i**3 + 158*i**2 + 412*i - 80 = 0. What is i?
-1, 5/27, 2, 4
Factor -16*m**3 + 896192*m**2 - 896180*m + 224044.
-4*(m - 56011)*(2*m - 1)**2
Let j**2/5 + 146*j/5 - 9312/5 = 0. Calculate j.
-194, 48
Factor -4*g**2 + 470296*g - 13823645476.
-4*(g - 58787)**2
Suppose 40*k**2 + 2649755*k - 331220 = 0. What is k?
-66244, 1/8
What is g in 7*g**4 + 17*g**3 - 15*g**2 - 9*g = 0?
-3, -3/7, 0, 1
Factor 3*t**3/4 + 9489*t**2 + 30013707*t.
3*t*(t + 6326)**2/4
Factor -5*h**2 - 5450*h + 116655.
-5*(h - 21)*(h + 1111)
Factor -4*f**3 - 10436*f**2 - 6770208*f + 47904192.
-4*(f - 7)*(f + 1308)**2
Factor -p**2 - 80*p/7 - 225/7.
-(p + 5)*(7*p + 45)/7
Let 2*z**3 + 18*z**2 - 248*z + 408 = 0. What is z?
-17, 2, 6
Determine t so that -3*t**3 - 21819*t**2 - 39639648*t + 119115396 = 0.
-3638, 3
Find g, given that -g**3/2 + 213*g**2/2 - 12051*g/2 + 205335/2 = 0.
39, 135
Let -7*f**4/2 + 513*f**3/4 - 2661*f**2/2 + 18305*f/4 - 4851/2 = 0. What is f?
9/14, 7, 22
Suppose -2*o**4/5 - 4456*o**3/5 + 6*o**2/5 + 13364*o/5 - 8912/5 = 0. Calculate o.
-2228, -2, 1
Suppose -2*s**3/7 - 8074*s**2/7 + 8080*s/7 + 16152/7 = 0. What is s?
-4038, -1, 2
Solve -c**3/7 - 221*c**2/7 - 11639*c/7 + 63845/7 = 0.
-113, 5
Let q**2/4 - 132187*q/4 + 66093/2 = 0. What is q?
1, 132186
Find g, given that g**3 - 4094*g**2 + 8181*g + 12276 = 0.
-1, 3, 4092
Factor 2*t**3/11 - 6*t**2/11 - 4044*t/11 + 368.
2*(t - 46)*(t - 1)*(t + 44)/11
Find n such that n**2 - 16644*n = 0.
0, 16644
Factor 4*x**4 - 16332*x**3 - 16*x**2 + 65328*x.
4*x*(x - 4083)*(x - 2)*(x + 2)
Factor -a**5 - 186*a**4 - 680*a**3 + 39350*a**2 - 246375*a + 452500.
-(a - 5)**3*(a + 20)*(a + 181)
Suppose 8*u**3/7 + 446*u**2/7 - 115638*u/7 - 86976/7 = 0. What is u?
-151, -3/4, 96
Factor u**2/3 + 135*u + 404/3.
(u + 1)*(u + 404)/3
Find j, given that 2*j**2/21 + 88*j/3 = 0.
-308, 0
Let -c**2/9 + 170*c - 7625/9 = 0. Calculate c.
5, 1525
Find j, given that -9*j**2/7 - 87000*j - 405996/7 = 0.
-67666, -2/3
Suppose -2*x**3 - 1348*x**2 - 116688*x = 0. Calculate x.
-572, -102, 0
Factor j**3/4 - 125*j**2 - 50983*j/4 - 25241/2.
(j - 587)*(j + 1)*(j + 86)/4
Solve 8965*b**4 + 164465*b**3 - 114685*b**2 - 59885*b + 1140 = 0 for b.
-19, -4/11, 3/163, 1
Factor -b**2/2 - 34867*b/2 - 17433.
-(b + 1)*(b + 34866)/2
Let 5*h**5 - 13430*h**4 + 9018240*h**3 + 13430*h**2 - 9018245*h = 0. Calculate h.
-1, 0, 1, 1343
Solve -v**4 - 152*v**3 - 881*v**2 - 730*v = 0.
-146, -5, -1, 0
Suppose 2*b**3/3 - 13850*b**2/3 = 0. Calculate b.
0, 6925
Factor -3*u**4 - 1611*u**3 - 94470*u**2.
-3*u**2*(u + 67)*(u + 470)
Suppose 22*w**5/3 + 26*w**4/3 - 4352*w**3/3 - 24904*w**2/3 - 35360*w/3 - 5632/3 = 0. Calculate w.
-11, -4, -2, -2/11, 16
Find y, given that -y**4/12 + 23*y**3/2 + 522*y**2 = 0.
-36, 0, 174
Factor -a**3/3 + 347*a**2 - 2078*a/3.
-a*(a - 1039)*(a - 2)/3
Determine t, given that -17*t**2/4 + 4587*t/4 + 405/2 = 0.
-3/17, 270
Let t**2/5 - 3724*t/5 + 3719 = 0. What is t?
5, 3719
Suppose 2*a**3/23 - 2138*a**2/23 - 1504*a - 138880/23 = 0. Calculate a.
-8, 1085
Let 2*c**5/19 - 74*c**4/19 - 448*c**3/19 + 1176*c**2/19 = 0. Calculate c.
-7, 0, 2, 42
Suppose 3*c**2 + 2770*c - 4625 = 0. Calculate c.
-925, 5/3
Find p such that -2*p**4 + 56*p**3 + 1326*p**2 + 3556*p + 2288 = 0.
-13, -2, -1, 44
Find l, given that l**4/5 - 3222*l**3/5 + 3604941*l**2/5 - 325299564*l + 50966627220 = 0.
426, 1185
Factor 65*u**2/6 + 635*u - 11200/3.
5*(u + 64)*(13*u - 70)/6
Suppose -2*v**5/15 - 414*v**4/5 - 35332*v**3/15 + 25216*v**2/5 = 0. Calculate v.
-591, -32, 0, 2
Solve -4*i**5 + 25220*i**4 - 39689932*i**3 - 198878596*i**2 - 318427840*i - 159264400 = 0 for i.
-2, -1, 3155
Solve 3*o**3/2 + 975*o**2 - 1959*o/2 - 1953 = 0 for o.
-651, -1, 2
Let 3*v**2 - 182598*v + 547767 = 0. What is v?
3, 60863
Find i such that -2*i**2/13 + 10586*i/13 - 1628 = 0.
2, 5291
Factor -5*q**2 + 9009285*q - 9009280.
-5*(q - 1801856)*(q - 1)
Let 5*l**5 - 835*l**4 + 27270*l**3 - 25610*l**2 - 27275*l + 26445 = 0. What is l?
-1, 1, 43, 123
Factor t**3/5 - 554*t**2/5 - 154656*t/5 - 1796256.
(t - 770)*(t + 108)**2/5
Find n, given that 3*n**5/4 + 42*n**4 + 2241*n**3/4 - 864*n**2 - 3645*n = 0.
-30, -27, -2, 0, 3
Factor -h**2/2 + 799434*h/5 + 319774/5.
-(h - 319774)*(5*h + 2)/10
Factor -4*f**2 - 39772*f + 159152.
-4*(f - 4)*(f + 9947)
Find z, given that 3*z**4/4 - 45*z**3 + 72*z**2 + 852*z + 1044 = 0.
-2, 6, 58
Let -u**3/4 - 324*u**2 - 288069*u/4 - 8872237/2 = 0. What is u?
-1034, -131
Find b such that 2*b**4/11 - 2*b**3/11 - 1264*b**2/11 - 1224*b/11 + 7488/11 = 0.
-24, -3, 2, 26
Factor 7*q**4/3 + 101*q**3 - 1594*q**2/3 - 160*q.
q*(q - 5)*(q + 48)*(7*q + 2)/3
Let 3*r**5/4 - 2805*r**4/4 + 40275*r**3 - 793500*r**2 + 5250000*r = 0. What is r?
0, 20, 875
Suppose m**5/5 - 288*m**4/5 - 5186*m**3/5 + 288*m**2/5 + 1037*m = 0. Calculate m.
-17, -1, 0, 1, 305
What is s in 3*s**5 + 12*s**4 - 18*s**3 - 12*s**2 + 15*s = 0?
-5, -1, 0, 1
Factor 95*p**2 - 1720*p - 3820.
5*(p + 2)*(19*p - 382)
Factor 205*p**3/2 + 533415*p**2/2 + 346996215*p/2 + 8463005/2.
5*(p + 1301)**2*(41*p + 1)/2
Solve 2*j**3 - 676*j**2 + 57792*j - 112896 = 0.
2, 168
Solve -i**3 + 215*i**2 + 5214*i = 0.
-22, 0, 237
Factor -3*u**4 + 42*u**3 - 57*u**2 - 630*u.
-3*u*(u - 10)*(u - 7)*(u + 3)
What is v in 2*v**5 + 800*v**4 + 3948*v**3 - 800*v**2 - 3950*v = 0?
-395, -5, -1, 0, 1
Factor 2*k**4 + 540*k*
|
{
"pile_set_name": "DM Mathematics"
}
|
b(n) = 6*n - 13. Let h(x) = -2*a(x) + 5*b(x). What is the units digit of h(r)?
5
Suppose 31 = -4*j - 121. Let t be (-4)/(-14) - j/14. Suppose 4*p - t*p - 1 = 0. What is the units digit of p?
1
Let x(k) = -8*k - 29. Suppose -4*n - 3*u = 42, 51 = -5*n - 2*u - u. What is the tens digit of x(n)?
4
Let n(u) = -u**3 + 6*u**2 - 5*u + 1. Let g be 3/(-2)*16/(-6). Let m be n(g). Suppose 10 = v - m. What is the units digit of v?
3
Let k(l) = -46*l + 7. What is the hundreds digit of k(-17)?
7
Let s = 134 - -886. What is the thousands digit of s?
1
Suppose 2*t + 0*t = 2. Suppose -4*l + 5*n + 16 = 0, l - 3 - t = 4*n. Suppose 3*z = 3*x + 36, l*z - 3*x + x - 52 = 0. What is the units digit of z?
4
Let b(w) be the second derivative of -33*w**3/2 + 3*w**2/2 - w. What is the units digit of b(-1)?
2
Suppose -5*k = -2 - 53. Suppose 65 - 296 = -k*h. What is the tens digit of h?
2
Suppose i = 3*i - 4. Suppose -10 = i*d + 20. Let q = d - -28. What is the units digit of q?
3
What is the tens digit of (5 - 2)*(-125)/(-15)?
2
What is the units digit of 20/45 - (-20)/(-72)*-6986?
1
Let t(j) = 58*j**2 + 9*j - 7. What is the units digit of t(3)?
2
Suppose 35 = s - 40. Let p = s - 53. What is the tens digit of p?
2
Suppose -6 = -d - 0*d. Let g(t) = t**2 + 8*t + 4. What is the tens digit of g(d)?
8
Let a be 10/4 + 4/(-8). Suppose -i + a = -3*i + 5*k, k - 2 = 2*i. What is the tens digit of (-4 + 4 + i)*-11?
1
Let w(p) = 3*p**2 + 2*p. Let c be w(-2). Let r(n) = n**3 - 6*n**2 - 6*n + 11. What is the tens digit of r(c)?
9
Let y(w) be the third derivative of 2/3*w**3 - 1/4*w**4 + 0 + 8*w**2 + 0*w. What is the units digit of y(-3)?
2
What is the hundreds digit of ((-13976856)/(-378))/19 - (-4)/(-42)?
9
Let f(a) = -a**3 - 19*a**2 + 37*a + 10. What is the units digit of f(-21)?
5
Suppose -8*w - 6 = -10*w. Suppose -5*z + 26 = w*t, t + 2*t + 37 = 4*z. Let m = z - 6. What is the units digit of m?
1
Let s be (5 - 2/1) + 73. Suppose -5*d + 110 = 5*x, -4*d + s = -0*d - 2*x. What is the units digit of 135/6*16/d?
8
Let y(g) = -8*g**2 + 4*g + 101. What is the units digit of y(0)?
1
Suppose -3*a + 2*b - 17 = 4*b, 3*a = -b - 19. Let g(t) = -t**3 - 5*t**2 - 5*t - 24. What is the tens digit of g(a)?
0
Let b(i) = i**3 - 3*i**2 + 2. Suppose 5*t = 2*t + 9. Let q be b(t). What is the units digit of (-3)/6*q - -12?
1
Let u(l) be the first derivative of -1 - 6*l - 3/2*l**2. What is the units digit of u(-6)?
2
What is the hundreds digit of (-2 + 0 - -3)*(261 - 3)?
2
Suppose -579 - 1344 = -3*d. What is the hundreds digit of d?
6
What is the hundreds digit of 226/(-1 - 12/(-8))?
4
Let r(q) = -q**3 - 6*q**2 + 2*q - 10. Let p be r(-6). Let y = p - -25. Suppose -106 = -3*t + y*f + 41, 151 = 4*t + 5*f. What is the tens digit of t?
4
Let c be (-5)/10 - (-5)/2. Suppose 4*f + 43 - 11 = 4*y, -2*f + 4 = c*y. Suppose 3*p + 4*v - 35 = 2*p, v = y*p - 70. What is the tens digit of p?
1
Let z be (10 - (4 + -5))*57. Suppose 0*a - 178 = -s - 3*a, -5*a - z = -4*s. What is the tens digit of s?
6
Let w(p) = p - 14. Let k be w(16). Suppose -i + 2 + k = 0. What is the units digit of i?
4
Let d(t) = -2*t + 2. Let i be d(-1). Suppose -2*y - 7*g = -i*g - 72, 3*y + 3*g = 102. What is the tens digit of y?
3
Suppose 0*f = -3*l + 3*f + 1593, 1056 = 2*l - 5*f. What is the tens digit of l?
3
Suppose -3*g = 5 + 7, 2*i - 3*g + 84 = 0. What is the tens digit of (i/(-21))/8 - 2740/(-14)?
9
Let y = 115 + -113. What is the units digit of (-1*8/12)/(y/(-57))?
9
Suppose r + 4 = -0*r + 5*q, 0 = -r + 3*q - 12. What is the tens digit of 1/(-1 + 2) + r/(-1)?
2
Let n(j) = -5*j - 27. Let f be n(-4). Let m(w) = w**3 + 8*w**2 - w - 1. What is the units digit of m(f)?
5
Let p = -25 - -349. Suppose 361 = 4*m + 5*j, -4*j - p = -3*m - 92. What is the units digit of m?
4
What is the thousands digit of (381 - 42)/(1/5)?
1
Let g be 14/28 + (-1582)/4. Let d = g + 670. Suppose o + 3*p = 5*o - d, -265 = -4*o + p. What is the units digit of o?
5
Let i(m) = 3*m + 91. What is the tens digit of i(8)?
1
Let s(g) = -5*g. Let f be s(-2). Let q(r) = r**3 - 3*r**2 + 2*r - 5. Let p be q(3). What is the units digit of f + 19 + (p - -1)?
1
What is the hundreds digit of (-1168)/(-6) - (1 + (-16)/(-24))?
1
Let i = -1 + 1. Suppose -5*h - 2*b + 65 = i, 2*h + 5*b + 3 = 8. Suppose h + 90 = 5*t. What is the tens digit of t?
2
Suppose 0 = -3*g - 3*r - 135, 4*g + 4*r + r = -176. What is the tens digit of -4*(g/12 - 8/12)?
1
Suppose -18*l + 892 = -368. What is the units digit of l?
0
Suppose 713 = 3*w + 2*y - 817, -3*y = -4*w + 2057. What is the hundreds digit of w?
5
Let q be 0/2 - 54/(-1). Let k(x) = x**2 - 15*x + 56. Let s be k(8). Suppose -3*h = -5*m - s*h + 95, 4*m + 2*h - q = 0. What is the tens digit of m?
1
Suppose -3*w + 5 = -4. What is the units digit of 10/15 - (-46)/w?
6
Suppose 90 = -d + 4*d. What is the tens digit of (d/(-20))/(((-3)/10)/3)?
1
Suppose -30 = -5*p - 4*f, -4*f = -9*f. What is the units digit of (-294)/(-15) - (p/(-15))/1?
0
Let d(f) = -4*f**2 + 53*f - 2. What is the units digit of d(12)?
8
Let i be ((-12)/36)/((-2)/(-42)). What is the units digit of (1 - 3) + (-268)/(3 + i)?
5
Let n(s) be the second derivative of s**4/3 + s**3/3 - 5*s**2/2 + 7*s. What is the units digit of n(-3)?
5
Suppose 2*z - 4 = -8, 5*a - 3*z = 3586. What is the tens digit of a?
1
Let d(n) = 135*n + 214. What is the thousands digit of d(7)?
1
Suppose 11 + 14 = 5*b. Suppose -b*a - 93 = -6*a. What is the tens digit of a?
9
Let s(u) = u**2 - 18*u - 14. Let i be s(19). What is the tens digit of ((-71)/i)/((-2)/10)?
7
Let h(t) = 426*t - 244. What is the units digit of h(4)?
0
Let a(u) = u**2 + 3*u - 2. Let l(i) = i**3 + 4*i**2 - i + 1. Let z be l(-4). Let h be a(z). Suppose -5*s + h = -3*s. What is the tens digit of s?
1
What is the tens digit of 44/(-6)*309/(-2)?
3
Let j(h) = 2*h**2 + 8*h + 8. What is the units digit of j(-14)?
8
Let n(b) = b**3 - 10*b**2 - 2*b - 6. Let k be n(9). What is the tens digit of (14/(-5))/(7/k)?
4
What is the thousands digit of (-6)/4 - (23 + (-299286)/52)?
5
Let o(q) = 6*q - 4. Let f be o(5). Suppose 0 = -207*b + 197*b + 10. What is the units digit of (12/8)/(b/f)?
9
Suppose 0 = 2*w + 2*o - 24, -o + 42 = 2*w + w. Suppose -w = 4*z - 579. Suppose 39 - z = -4*h - 5*j, 3*j - 50 = -2*h. What is the tens digit of h?
2
Let t = 0 - -5. Let j(d) = -t - 4*d - 1 - 2*d. What is the tens digit of j(-4)?
1
Suppose 2*m + 5*p - 2092 = m, 8299 = 4*m - 3*p. Suppose m - 361 = 12*u. What is the hundreds digit of u?
1
Suppose -2*f - 10 = -6*f + 2*d, 2*f + 2*d + 4 = 0. What is the units digit of f?
1
Suppose 0 = -2*w - 2 + 4. Let k be (-1 - 0) + 3/w. Let l(m) = 2*m**3 - 2*m - 1. What is the tens digit of l(k)?
1
Suppose -152 = -4*j + y, y - 189 = -5*j + 2*y. Let m(b) = -b**2 - 6*b + 4. Let p be m(-4). Let a = j - p. What is the tens digit of a?
2
Suppose 2*s = -4, -11*s = -5*w - 16*s + 4255. What is the units digit of w?
3
Let d(r) = -2*r**3 - 12*r**2 - 6*r - 11. Suppose -h - 25 = 4*x, -5*x - 4*h - 35 = h. What is the tens digit of d(x)?
2
Let o(k) = 3*k + 7. Let n(q) = -q**3 + 4*q**2 + 2*q - 2. Let p be n(5). Let l be p/(-5) + (-2)/5. What is the units digit of o(l)?
6
Suppose 5*w = 3*a - 32, -58 = -4*a - w - 0*w. What is the units digit of (-18)/63 - (-1558)/a?
1
Let b be (-2)/6 - 1840/(-12). Suppose 0 = 2*t + 4*c - 82, 4*t = c + 2*c + b. What is the units digit of t?
9
Suppose 2*c + 3*i - 2727 = 0, -4*c = -9*c + 5*i + 6805. What is the hundreds digit of c?
3
Let m = -15 + 15. Suppose -4*c - 124 = -2*o + 70, 5*c - o + 244 = m. What is the tens digit of (-103)/(-7) + (-14)/c?
1
Let w(r) = -29*r**3 + 4*r**2 + 5*r + 11. What is the hundreds digit of w(-3)?
8
Let y(t) = -t**2 - 14*t - 18. Let s be y(-13). What is the hundreds digit of 5 - (s/1 - 119)?
1
Suppose -2*l + 0*l = -1020. Suppose l = -4*n + 6*n. What is the units digit of (4/12)/(5/n)?
7
Suppose 6*p + 385 - 1159 = 0. What is the hundreds digit of p?
1
Suppose -19*a + 23*a = 196. Let m = -36 + a. What is the tens digit of m?
1
Let h(v) = v**3 - 8*v**2 + 5*v - 1. Let o be h(7). Let r be o/(-2)*(-22)/33. Let x = r + 9. What is the units digit of x?
4
Suppose 9760 = 769*y - 759*y. What is the tens digit of y?
7
Let l = 14 - 5. Suppose g - 9 = -g + y, -3*y - l = 0. What is the units digit of 19/g - 12/(-18)?
7
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
1, 8 = 4*x - 2*n for x.
0
Solve -5*i - 24 = -5*s - 44, 3*i = -3*s + 12 for s.
0
Solve -2*u = h + 4 + 3, 3*h + 4*u = -15 for h.
-1
Solve -2*z - 23*f - 13 = -24*f, 27 = -2*z + 3*f for z.
-3
Solve -42*w + 37*w + 4*h = -20, -5*w - 4*h = -20 for w.
4
Solve -5*q - 4*h + 7 = 0, -391*q = -395*q - 3*h + 6 for q.
3
Solve 0 = 3*j + 5*k - 8*k - 21, 0 = -4*k - 16 for j.
3
Solve 4*y - h + 5*h - 36 = 0, 0 = 3*y - 5*h + 5 for y.
5
Solve 2*w + 14 = -2*i, 2*w + 9*i = 10*i + 1 for w.
-2
Solve -2*l - 24 = -5*l - 3*k, 2*k = -5*l + 31 for l.
5
Solve 5*n - 3*r - 15 = 2*n, -4*n + 14 = -r for n.
3
Solve -4*p = 5*g + 9, -p + g + 21 = 3*p for p.
4
Solve -p - p = 5*x + 20, -5*x = 5*p + 35 for p.
-5
Solve 5*s - 10*s + 17 = 3*q, 0 = -2*q + 8 for s.
1
Solve 33 = -4*s + 5*b, 11 = -3*s - 0*b + b for s.
-2
Solve 4*g - 6 = -3*c - 13, -15 = c - 5*g for c.
-5
Solve -18*t + 2 = 5*c - 19*t, 4*t - 7 = 5*c for c.
1
Solve -2*c = o - 11, -8*c + 5 = -o - 6*c for o.
3
Solve n = 5*q - 14 - 1, 0 = -5*n - 5*q - 15 for n.
-5
Solve 33 = -4*s + 4*m - 9*m, 4*m + 12 = 4*s for s.
-2
Solve 3*w = 4*s + 4, -5*s = -s + w + 20 for s.
-4
Solve -4*t - 8 = 4*p, -2*p = t + 8 - 3 for p.
-3
Solve 2*v + 2*f = 14, 27 = v + 5*f - 0*f for v.
2
Solve -b = -2*x - 7, -6*x = b - 9*x - 10 for b.
1
Solve -j - 4*u - 9 = 0, -66 + 52 = 2*j + 4*u for j.
-5
Solve 82*p - 2 = 83*p - r, -3*p = 4*r - 1 for p.
-1
Solve -3*z = q - 9, -10*q = -8*q - 3*z for q.
3
Solve 5*s - 15 = -4*x + 3, -2*s - 2*x + 8 = 0 for s.
2
Solve m + f + 5 = 0, 2*m - 10 = -11*f + 14*f for m.
-1
Solve 2*q = -6, 16*q = -5*j + 18*q - 14 for j.
-4
Solve -5 = 2*q + f, 2*q - 2*f + 5 + 15 = 0 for q.
-5
Solve c + 353*g - 349*g - 9 = 0, 5*c = -5*g + 15 for c.
1
Solve -3*p = 15, -f = -5*p + 3*p - 11 for f.
1
Solve 3*f - 2*c - 38 = -62, 0 = -5*c + 30 for f.
-4
Solve 6*r + 30 = -3*j, 22 = -4*r - j + 2 for r.
-5
Solve -7 = -p + 2*o, 4 = 87*p - 85*p - 2*o for p.
-3
Solve 3*a - 3*z = -9, 2*a + 2*z = 6 - 16 for a.
-4
Solve m - 2 = -m - 4*q, 3 = -5*m - 2*q for m.
-1
Solve 0 = 5*w - 2*g - 28, 6*w - 4*w + 3*g + 4 = 0 for w.
4
Solve 0 = -5*c + 15, 0 = 3*j + 2*c + 25 - 43 for j.
4
Solve 0 = 2*w + 4*g + 24, 4*g = 3*w + w for w.
-4
Solve 2*h + 4*q = 5*q + 5, -h - q - 2 = 0 for h.
1
Solve 4*m - 16 = 0, -2*h + m = 4*m - 8 for h.
-2
Solve 2*s = 2*c + 8, 2*c + s - 6 = -2 for c.
0
Solve -2928*u + 31 = -2923*u + 2*f, 21 = 3*u + 2*f for u.
5
Solve -209*q + w - 19 = -205*q, -5 = -4*q - 7*w for q.
-4
Solve -13*w = -16*w - d + 11, -4*w + 23 = 3*d for w.
2
Solve 2*f + 16 = -5*z, -4*z + 1 = 2*f - 5*f for z.
-2
Solve -4*o - 31 + 7 = -4*v, o + 22 = 5*v for v.
4
Solve 0 = -y - 3*y + 8, -4*l + 2*y - 20 = 0 for l.
-4
Solve 2*q - 3*w - 17 = q, 4*w = 4*q - 28 for q.
2
Solve 0 = 5*i - 5*b + 40, -18*i + 13*i = -2*b + 28 for i.
-4
Solve 0 = 2*o - 2*a + 2, -126 = -o - 2*a - 121 for o.
1
Solve z - 2*k + 9 = 14, z + 30 = -5*k for z.
-5
Solve 4*r - 16 = 5*p - 57, -p + 1 = r for p.
5
Solve 0 = -2*s - 5*z - 28, 179*s - z = 178*s for s.
-4
Solve -3*p = -b + 8, -5*p + 4*b - 3*b = 16 for p.
-4
Solve -9 = 2*i - 36*b + 41*b, 4*i + 3*b + 11 = 0 for i.
-2
Solve 0 = -4*y + 3*f - 8*f + 37, 26 = 2*y + 4*f for y.
3
Solve 2*d - 14 = -58*t + 55*t, -3*d + t - 12 = 0 for d.
-2
Solve 4*w + 58*r + 33 = 53*r, 0 = 4*w + 2*r + 18 for w.
-2
Solve b - n + 4 = 0, 89*n - 27 = 5*b + 91*n for b.
-5
Solve 12 = 3*z + j, 0 = 2*z + 4*j - 0 - 8 for z.
4
Solve 0 = -x + 5, -2*i + 5*x = -6*i + 45 for i.
5
Solve 0 = 4*t, -2*q + 3*t - 4 = -12 for q.
4
Solve 2*u + 15 = 3*m, 4 + 6 = 3*u + 2*m for u.
0
Solve -2*p = 3*v + 25, -v + 3*p = v - 5 for v.
-5
Solve 3*j = 5*r + 4 - 6, -4*j = 5*r - 9 for j.
1
Solve 5*k - 4*l = 1, -5*k + l - 5 = -2*k for k.
-3
Solve 3*q = 0, 4*q - 128 = -2*v - 124 for v.
2
Solve 4*a - l - 1 = 5*a, -5*a + 3*l - 37 = 0 for a.
-5
Solve 16 = v + 4*t, 3*t = 15*v - 18*v + 12 for v.
0
Solve 4*d - 4*y = 48, -14*d = -11*d - 2*y - 31 for d.
7
Solve 0 = 2*c - 4*c + q - 11, 2*c = -5*q + 19 for c.
-3
Solve 2*h + 3 = -5, -12 = -4*d - 2*h for d.
5
Solve -o = 2*y - 2*o, 5*y = -2*o - 18 for y.
-2
Solve -2*z = -5*w - 3, -4*z + w + 6 + 9 = 0 for z.
4
Solve 2*a = 4*f + f + 15, 0 = -5*f + a - 15 for f.
-3
Solve -13 = 4*q + 2*j + 1, 4*j - 22 = 2*q for q.
-5
Solve 0 = p + h - 2 + 9, 0 = -2*h - 4 for p.
-5
Solve -5*t = -4*k - 7, 4*k - 6*t + 7*t + 13 = 0 for k.
-3
Solve 2*s + 14 = -0*l + 2*l, -l = 5*s + 5 for l.
5
Solve -18*p + 16*p - 5*r = -23, p - 4*r = -8 for p.
4
Solve 10*g = 11*g + 5*b + 6, 3*g + 3*b - 6 = 0 for g.
4
Solve -3*d = 5*t + 12, 8*d + 2*t + 1 = 3*d for d.
1
Solve -5*l + 10*l = 0, -5*v + 15 = -3*l for v.
3
Solve -24*i + 25*i = 2*y + 3, -i + y = 0 for i.
-3
Solve 4*d + 2*a + 4 = 0, 671*a + 11 = 3*d + 676*a for d.
-3
Solve -17*s + 16*s - 3*j = 14, -j - 8 = -3*s for s.
1
Solve 0 = 3*d - u - 13, 11*d = 9*d - u - 3 for d.
2
Solve 4*w - 24 = 2*k, -5*w + 8 = -12 for k.
-4
Solve 4*l + 3*q - 6*q + 6 = 0, -20 = 4*l + 4*q for l.
-3
Solve 3*p = 10*x + 20, 4*x + 8*p + 8 = 4*p for x.
-2
Solve 2*r - 17 = -4*f + 1, 0 = -5*f - 2*r + 23 for f.
5
Solve -5*n + 5*i - 4 - 1 = 0, i + 15 = 5*n for n.
4
Solve 0 = -5*a - 6*r + r + 20, -2*a - 5*r = -20 for a.
0
Solve 0 = -c + l + 2, c + 13 = -2*l for c.
-3
Solve -o + 4*b = -143 + 125, 4*o = b + 12 for o.
2
Solve -25*o - 1 = -26*o + 4*k, k = -5*o + 47 for o.
9
Solve 2*x = -2*a + 8, 3*a = -0*a + 3*x + 6 for a.
3
Solve 4*z - 10 = 2*y, 2*z - 3*y - 4 = -y for z.
3
Solve -l - 3*q + 40 - 47 = 0, -3*l - 5*q - 9 = 0 for l.
2
Solve -3*b + 8 = -2*d, -4*b + 4 = -b + 2*d for b.
2
Solve k = -5, -22*k - 7 = 4*r - 19*k for r.
2
Solve -4*h + 4*y + 8 = 0, -5*h + 19 - 3 = -3*y for h.
5
Solve -5*d - 4 = k + k, -5*d + 8 = -4*k for d.
0
Solve 0 = 2*s + r - 10, 4*s - 3*r + 3 = s for s.
3
Solve -3*x + 2*f + 0 - 2 = 0, -3*f - 12 = 3*x for x.
-2
Solve -5*h - 4*m - 5 = 0, 4*m - 10 + 6 = 4*h for h.
-1
Solve -5*c + 15 = 2*o, 9*o - 5*c = 5*o - 45 for o.
-5
Solve 5*b - 7*b = a - 12, -5*b = a - 24 for a.
4
Solve -2*i = -4*w + 3*i + 13, -3*i - 12 = -3*w for w.
7
Solve v + 5*o + 8 = -2, -v - 2*o = 4 for v.
0
Solve -f - 2*m + 10 = 0, -83*f - 5 = -79*f - m for f.
0
Solve -4*s - 5*m = -72 + 42, -s + 7 = m for s.
5
Solve 8 = 5*b - o, -2*b - 12*o = -17*o - 17 for b.
1
Solve 5*r + s = 23, 5*r - s = -0*s + 17 for r.
4
Solve 3*h = -2*z + 6*h - 6, -4*z - 12 = 5*h for z.
-3
Solve n + 4*m + 32 = 5, -2*m = -3*n + 17 for n.
1
Solve -3*h = -2*w + 13, 19*h = -5*w + 23*h + 22 for w.
2
Solve 0 = -2*x + 8, 2*k + 2*x - 27 = -23 for k.
-2
Solve -5*r - i - 3 = -0, -4*i = 5*r + 12 for r.
0
Solve -4*r - 26 = 2*v, 6*v + 27 = 3*v - 3*r for v.
-5
Solve 4*b + p + 13 = 0, -68 = -4*b - 5*p - 69 for b.
-4
Solve 0 = -g, 5*u - 5 = 4*u + 5*g for u.
5
Solve a = 5*z - 10, 0*a - 4*a = 3*z + 17 for z.
1
Solve 25 = -4*p + 5*o + 1, 5*p + 25 = 5*o for p.
-1
Solve 4*x = 78*l - 73*l + 17, 1 = -l for x.
3
Solve 3*y = -5*b + b + 4, -3*y - 12 = 0 for b.
4
Solve 5*q - x - 4 - 5 = 0, -3*q + 9 = 3*x for q.
2
Solve 0 = -b - 5*k, 4*b + 5*k - 4*k = 0 for b.
0
Solve 0 = h, 6*h + 5 = -5*i + h for i.
-1
Solve 3*x = -12, -o - x + 0 - 6 = 0 for o.
-2
Solve 0*z = 5*k + z, -3*z + 20 = -5*k for k.
-1
Solve -d - 4*j = 19, -3*j + 12 = -5*d + 2*d for d.
-7
Solve 3*y = 2*o - 19, 4*y = -2*o + 16 - 32 for y.
-5
Solve -r = -38 + 43, 0 = -3*n + 5*r + 37 for n.
4
Solve u = 4*p - 23, 0 = 402*p - 398*p + u - 17 for p.
5
Solve -2*i + 3*p - 5 = 0, -2*i = -3*i - p for i.
-1
Solve h - 4*p = 3, h - 3*h - 20 = 5*p for h.
-5
Solve -4*i - 17 = -3*j, 3*j + 23 = -5*i + i for j.
-1
Solve -16 = 2*m + 3*i, -m - 4*i + 3*i - 6 = 0 for m.
-2
Solve 3*m + 5*a - 9 = 0, -4*a - 4 = 3*m - 16 for m.
8
Solve -y = -2*g - 10, 494*y + 5*g = 499*y - 25 for y.
0
Solve 3*s + 2*h = -23, -11*s + 12*s + 9 = -h for s.
-5
Solve -2*t + 3*t - 5*a = -22, -2*t + 5*a - 24 = 0 for t.
-2
Solve 4*a + 22 = -2*w, 0 = -3*a + a - 10 for w.
-1
Solve 4*l = -b + 3*l + 3, -13 = -2*b + 5*l for b.
4
Solve -k - 12 - 11 = -4*l, -k + 2*l - 13 = 0 for k.
-3
Solve -l - 8 = d, -4 = 3*l + 5*d + 28 for l.
-4
Solve 12 = -5*t + p + 41, -2*p + 17 = 5*t for t.
5
Solve -3*i + u + 3 = -3, 4*i + 3*u + 5 = 0 for i.
1
Solve 5*z - 15*v = -14*v + 10, 0 = 5*v for z.
2
Solve 0 = 2*x - 3*u + 7, 68*u - 17 = 4*x + 65*u for x.
-5
Solve -5*a + 19 = -u + 5, 0 = 4*a + 5*u - 17 for a.
3
Solve -2*a + i = -9, -8*a + 5*a = -5*i - 31 for a.
2
Solve -3*r = x - 40 + 24, 5*x = 2*r + 12 for
|
{
"pile_set_name": "DM Mathematics"
}
|
s - 20. Solve s + 0 = w for w.
5
Let a = 1 + -4. Let x be (-21)/(-3) - 3/a. Solve -x = 3*y - y for y.
-4
Let p(y) = -y**2 - 6*y - 4. Let i = -1 + -3. Let g be p(i). Solve 0 = g*f - 7*f - 6 for f.
-2
Let j(x) = x - 2. Let u be j(6). Suppose w - 5 = -0*w. Suppose -w*d + 3*d = -12. Solve -d - u = 5*a for a.
-2
Let u(d) = -d**3 + 16*d**2 + 3. Let i(l) = 2*l**3 - 31*l**2 - 5. Let k(v) = 4*i(v) + 7*u(v). Let y be k(12). Solve -y + 0 = -m for m.
1
Let o(r) = -r**3 + 3*r**2 + 1. Let m be o(3). Let c = 10 + -6. Solve c*g + m = 5 for g.
1
Let l(b) = -14*b**3 - 2*b**2 - 38*b - 27. Let g(f) = 5*f**3 + f**2 + 13*f + 9. Let c(k) = -17*g(k) - 6*l(k). Let t be c(-6). Solve t*i = -0*i - 3 for i.
-1
Suppose -16 = 2*m + 4*j, -4*j - 6 - 10 = -m. Solve 2*r + 0 + 2 = m for r.
-1
Let n(g) = g**3 + 4*g**2 + 3*g + 9. Let z be n(-4). Let y = z - -7. Solve -s = -y - 1 for s.
5
Let l be 3*(-3 + 33/9). Suppose 2*y - l*j - 8 = 0, -y + 2*j = 3*j + 4. Suppose 0 = 5*n - c - 42, 2*n - 5*n + 5*c = -34. Solve -n = -y*q + 4*q for q.
-2
Suppose 3*r + 2*r = 15. Let q(h) = h**3 - 2*h**2 - h - 4. Let y(l) = l + 3. Let t be y(0). Let o be q(t). Solve -g = -r*g + o for g.
1
Let b = -2 + 15. Suppose -4*c = -p - 15, -c + 1 = p - 4. Suppose -u + y = p, 12 = 5*y - b. Solve u*j + 17 = -3 for j.
-5
Let n(t) = t**3 + 8*t**2 + 3. Let d be n(-8). Suppose -c = 3*u + 11, 2*c + 2*u + 3 = -d. Solve g + 0 + c = 0 for g.
-1
Suppose 7 - 16 = -3*r. Suppose r = -2*m + 11. Suppose m*w = -w. Solve w = 2*n - 4*n - 6 for n.
-3
Suppose -4*a + 5*n - 14 = 0, 0 = -5*a - n - 2*n + 1. Let k be 1/(-2)*(1 + a). Solve 0 = -3*j - k*j for j.
0
Suppose 0 = -3*v + v + 30. Solve -5*z = -0*z + v for z.
-3
Let g be (0/14)/(2/2). Solve -3*z + g*z = -3 for z.
1
Suppose -2*j + 3*j = -4*y + 1, -y + 4 = 4*j. Let g be 54/4 + j/2. Suppose -c - q = 4*c - g, -5*c + 11 = 4*q. Solve 0 = -c*k + 3 for k.
1
Suppose 0 = -5*j - 25, 4*y + 5*j + 9 = -4. Suppose -5*m = -y*m. Solve m*l + 5 = l for l.
5
Let c be 1*(-4)/(-8)*8. Solve c*j + 0*j = -8 for j.
-2
Let i(y) = y**3 - 4*y**2 - 3*y - 4. Let p be i(5). Let v = p + -3. Let x be (v + -4 - -3)*1. Solve 5*r = -8 - x for r.
-2
Suppose -131 = 4*m - 35. Let d be (m/40)/(1/(-5)). Suppose -2*s + 17 = o, 22 = d*s - s + 2*o. Solve -u - s = u for u.
-3
Suppose -3*p - 7 = -4*c - 0*p, c - p - 1 = 0. Let n = c - 2. Suppose n*s = -s. Solve j + 1 + s = 0 for j.
-1
Suppose 0 = -4*u + 5*u - 32. Suppose 3*a + s + 3*s - u = 0, 4*s - 24 = -a. Suppose 9 = a*o - o. Solve 7 + 5 = o*m for m.
4
Suppose 0 = -15*d + 19*d - 8. Solve -d = k + 1 for k.
-3
Let l(c) = -3*c - 84. Let z be l(-30). Solve p - 1 = -z for p.
-5
Let j be -18*((-3)/6 + 0). Suppose -i + 4*i = j. Suppose 23 = i*o + 4*v, 0 - 17 = -5*o + 4*v. Solve -o + 2 = -3*y for y.
1
Let b(r) = 2*r**2 + 5*r + 5. Let n be b(5). Suppose -3*m - 11 = 3*x - n, -x + 3*m = -15. Let p(u) = 3*u - 16. Let c be p(7). Solve 6 = c*f + x for f.
-3
Let a(n) = -n**3 + 9*n**2 - 6*n - 2. Let w be a(8). Solve 5*j = -w - 1 for j.
-3
Let t(l) = l**3 + 13*l**2 - 2*l - 22. Let s be t(-13). Solve 0*o = -s*o + 16 for o.
4
Let d(q) = -q. Let n be d(0). Let r = -15 - -23. Let t be (-12)/r*(-4)/6. Solve n = -k - t for k.
-1
Let z(n) be the second derivative of -n**5/20 - 3*n**4/4 - 7*n**3/6 + 4*n**2 + 2*n. Let u be z(-8). Solve p = -u*p for p.
0
Let t = -11 - -13. Solve 0*d = -2*d + t for d.
1
Let f(t) = t**3 - 19*t**2. Let n be f(19). Solve l - 5*l = n for l.
0
Let v(q) = 4*q**2 + 2*q + 1. Let z be v(-1). Solve -z*j = j - 8 for j.
2
Let n = 50 - 18. Let z be n/18 - (-8)/36. Suppose -2*t = 5*y + 18 + 5, -23 = -3*t + 4*y. Solve f + z = -t for f.
-3
Suppose -2*b = -o + 5 + 5, 13 = 4*o + b. Suppose -2*f - 2*m + 2 = 0, -2*f + 8 = 3*m - o*m. Solve -f*q + 15 = 2*q for q.
3
Let h = 100 + -90. Solve 15 = -h*r + 5*r for r.
-3
Suppose -5*w + 482 + 16 = 3*m, -m - 494 = -5*w. Let f be (-57)/(-11) - 18/w. Solve n = 2*n - f for n.
5
Let b(v) = -v**2 - 6*v - 5. Let o be b(-6). Let u be 1/o + (-171)/45. Let t(x) = x**3 + 4*x**2 + x + 4. Let m be t(u). Solve -5*w + 0*w = m for w.
0
Suppose -9 - 11 = 5*d. Let o be d*2*(-9)/12. Suppose o*f - 2 = 5*f. Solve f*r - 4 = r for r.
4
Suppose -4*r + 5*z = -45, 3*z - 7 = -22. Suppose -r = d - 2*d. Let f = 0 + 4. Solve -f = -d*a - 24 for a.
-4
Let b = 15 - 12. Suppose -b*x + 18 = 3*r, 2*x - 7*x = 0. Solve r*c = 2*c - 8 for c.
-2
Suppose -14 = -a + 11. Suppose -n = -2, 2*l + 5*n = -l + a. Solve 2*x - 15 = l*x for x.
-5
Let v be 2/8 - 1/4. Solve 0 = -3*b - v*b + 9 for b.
3
Let f be (-15)/(-2)*6/9. Let z(n) = -n**2 + 5*n - 4. Let j be z(3). Let m be 39/12 + j/(-8). Solve b = f - m for b.
2
Suppose 11 - 2 = 3*q. Let n be q - (0 - (-1 - -2)). Solve 0*c = c - n for c.
4
Suppose 0 = -3*y - 13 - 44. Let x = y - -22. Solve 0 = -x*u + 2*u for u.
0
Let i(z) = -z**3 - 10*z**2 - 11*z - 8. Let u be i(-9). Suppose 0 = 2*c - 0*c - u. Solve -4*o + c = -15 for o.
5
Let p = 3 - 1. Suppose 2*u + t + 0*t = 7, 15 = 3*u - 3*t. Solve -u = -p*s - 6 for s.
-1
Let a = -3 - -6. Suppose a*y - 3*w = 0, 4*y - 5 = -4*w - 13. Let h(k) = 2*k**2. Let m be h(y). Solve m*z + 2*z + 4 = 0 for z.
-1
Let m be 110/25 - 3/(-5). Let q = m - 0. Suppose 2*i - 5 = i - 5*w, 4*w = -16. Solve -5*v + i = q for v.
4
Let j = -125 + 125. Solve -d + 0*d + 2 = j for d.
2
Let s = 0 + 2. Suppose 2*m = -s + 8. Solve -2*z = -3*z + m for z.
3
Let c(l) = -l**3 - 2*l**2 - l - 2. Let i be c(-2). Suppose 5*m + 4*s - 41 = 0, i = -m + 5*s - 9 - 6. Solve -3 = -m*v - 28 for v.
-5
Let d be (32/28)/(6/21). Solve 0 = -4*a + 3*a + d for a.
4
Let p = -8 - -8. Let w(a) = 10*a**2 + 7*a - 5. Let g(t) = 5*t**2 + 3*t - 2. Let s(v) = 5*g(v) - 2*w(v). Let u be s(-1). Solve p = -u*k + k - 15 for k.
-5
Let d be (-3)/(15/2) + (-2652)/(-130). Solve -5*g + 0*g + d = 0 for g.
4
Suppose 2*a + 3*a - 25 = 0. Suppose -2*z = -a*z. Solve -2*t + 10 = -z*t for t.
5
Let y be (-8)/(-3) + (-5 - (-13)/3). Solve 7*h - y*h - 10 = 0 for h.
2
Suppose -37 = -5*f - 5*y - 2, -5*f = 2*y - 20. Suppose -10 - 5 = 5*p. Let j = p - -6. Solve -j*s = f*s + 10 for s.
-2
Let j = -63 + 68. Solve j*u = 15 - 0 for u.
3
Suppose i - 3 = 2. Suppose i*z - 5*a - 35 = 0, 8*a = 3*z + 3*a - 29. Suppose -z*y + 4 = -8. Solve -6*k = -y*k - 4 for k.
2
Suppose 5*l - 50 = t, 4*l - 50 = -l + 5*t. Suppose -m = 4 - l. Let d = m - 0. Solve -3*p = -d - 9 for p.
5
Let l = 0 + 1. Let y(r) = 10*r + 2. Let o be y(l). Solve 2 - o = -2*x for x.
5
Suppose 2*h + 0*h - 12 = 0. Solve -2*u - h + 0 = 0 for u.
-3
Let u be (2 + (-8)/(-6))*3. Suppose -f = f - u, f - 7 = -2*l. Suppose -1 = 6*h - 4*h - m, 0 = -5*h + 4*m - 4. Solve l = -k - h for k.
-1
Suppose 0 = -2*w + 3*w + 2. Let y = w - -4. Suppose -z - z = 4*i, 3*z - y = -4*i. Solve -1 = -z*f + f for f.
1
Let n(b) = b**2 - 5*b. Let c be n(6). Let q = c - 6. Let w be (-50)/(-6) + (-1)/3. Solve -w = -q*k + 4*k for k.
-2
Let l = -214 + 226. Suppose q + 2*q = 6. Solve -q*s = -6*s + l for s.
3
Let l be 2 + -2 + 2 - -1. Solve 0*x - x = l for x.
-3
Let y be 1/(-4) + (-248)/32. Let r(x) = x**3 - 5*x**2 + 3*x - 2. Let o be r(4). Let m be 273/28 - o/y. Solve 0 = 2*n - 3 + m for n.
-3
Let d(h) = -h**2 + 4 + 0*h**2 - 5 + 0*h**2 + 2*h - h**3. Let j be d(-2). Let f be -1 - -2 - (0 + j). Solve 0 = -f*s + 5*s - 9 for s.
3
Let u(m) = -m**2 - 5*m + 5. Let f be u(-5). Solve -2*b + 3 = -f*b for b.
-1
Let x be 1 - 1 - (-2 - -2). Suppose -7*c + 2*c = -25. Suppose 32 - 2 = c*g. Solve 4*j - 2 + g = x for j.
-1
Let f = 42 - 40. Solve o = -1 + f for o.
1
Suppose -5*j - 8 = 7. Let m = 3 - j. Solve m*t + 20 = 2*t for t.
-5
Let m be 9*-4*(-11)/6. Suppose p = -5*v + 75, 4*v - m = p - 3*p. Let f = v - -1. Solve 0 = -4*w + w + f for w.
5
Suppose 4*n - 28 + 12 = 4*a, -5*n = a + 4. Let f be ((0 + 0)/1)/2. Solve n = 2*s - f + 2 for s.
-1
Suppose 5*i - 7*i = -3*i. Solve 0 = -p - i*p + 2 for p.
2
Let t be 2/(-4) + 46/4. Let y(c) = c**2 + 4*c. Let u be y(-3). Let f = u + t. Solve -5*q + 12 + f = 0 for q.
4
Let s = -7 + 12. Suppose s*q + 22 = b, -2*q - 25 = -b + 6*b. Let i = q + 5. Solve -5*a + 3*a + 6 = i for a.
3
Suppose 0*x + 3*x = 15. Suppose b = x*b. Let j = b + 1. Solve j = -4*f - 3 for f.
-1
Let j be 0/((-1 - -1) + 2). Let h(v) = -v**3 - 5*v**2 + 6*v. Let l be h(-6). Solve 5*t + l*t = j for t.
0
Let w(a) = -2*a**2 + a + 1. Let n be w(-1). Let g be (1/(-2))/(n/108). Suppose -2*d = 4*t - 16 -
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 11*a + 5. Is d(-3) a composite number?
False
Suppose 3*j + 8*j = -11. Let m(z) = -1992*z + 2. Is m(j) a composite number?
True
Let f = -60764 - -96301. Is f prime?
True
Suppose -4*s = -8*s + 6252. Is s a prime number?
False
Suppose -9*v - 1255 = 680. Let o = 308 + v. Is o a composite number?
True
Suppose t + 4*q - 897 = 0, q - 3663 = 29*t - 33*t. Is t a prime number?
False
Let m = 1529 - -1659. Is ((-17)/34)/((-2)/m) composite?
False
Suppose 5*b = 1 + 19. Suppose 0 = 2*k, k - 364 = -b*x - 3*k. Is x a composite number?
True
Let t(v) = 21*v + 35. Is t(26) prime?
False
Let m be (33/3 + 4)/3. Suppose 0 = 3*r + 4*k - 1219, -r + k - m*k = -417. Is r a composite number?
False
Let k(v) be the third derivative of v**6/60 + 3*v**5/20 - 5*v**4/8 - 5*v**3/6 - 3*v**2. Is k(5) a prime number?
False
Let b(r) = -11*r - 4. Let d be b(-1). Suppose 2*o = d*o - 9005. Is o a composite number?
False
Let k = 3 - -4. Suppose 0 = -95*f + 90*f - 5. Let a = f + k. Is a a composite number?
True
Suppose 0 = -x + q + 386, x - 1168 = -2*x - 2*q. Suppose 0 = l - o - 310 - x, 0 = 5*l - 2*o - 3481. Is l a composite number?
True
Let q be 78/21 + (-2)/(-7). Suppose 0*y - q*y + 16 = 0. Suppose 894 = y*w - 758. Is w a composite number?
True
Let r(z) = 76*z + 715. Is r(7) composite?
True
Let b = -5461 - -18176. Is b a prime number?
False
Suppose 0 = 5*d - 3*p - 7, -2*d = 3*p - 7. Suppose -5*i = d*u - 965, -i - 24 + 235 = 4*u. Is i prime?
True
Let c(q) = -q**3 + 37*q**2 - 22*q - 519. Is c(28) a composite number?
True
Let p(z) = 17*z**2 - 86*z - 8. Is p(27) prime?
False
Let o = 129 - 123. Suppose -19*x + o*x = -8827. Is x composite?
True
Let d(o) = 37*o**2 - 8*o - 12. Let i be d(5). Suppose -99 + 528 = 2*b + c, -i = -4*b + c. Is b a composite number?
True
Let f(b) = 19 - 6 + 3*b + 4*b**2 - 6*b**3 + 16*b**3. Is f(6) composite?
True
Suppose -x + 1056 = -878. Suppose x = -68*c + 70*c. Is c a prime number?
True
Is 1*(-7 + 1) - (-6247 - 0) a composite number?
True
Let q = -48 + 46. Let n(v) = -40*v + 3. Is n(q) prime?
True
Let u(z) = z**3 + 47*z**2 + 8*z + 53. Is u(-41) prime?
True
Suppose 5*y + 3*h = 213, 0*y = -5*y + 2*h + 233. Suppose -y = -2*w + 997. Is w composite?
False
Suppose 2*g + 2*g = 2*a - 4, 4*a + 4 = 2*g. Is a + (-8)/(-3) + (-2906)/(-6) composite?
True
Suppose -5*i = -25, 5*q = -4*i + i + 162710. Is q prime?
False
Suppose -3*g - 3*s = -30, 0 = -2*g + 5*g + 4*s - 33. Suppose 5*h - 3 = g. Is 4438/21 - h/6 a composite number?
False
Suppose 2260 = -3*q + 7030. Suppose -432 = -6*x + q. Is x prime?
True
Let o(q) = -q**3 - 2*q**2 + 7*q + 13. Let h be o(-3). Is 1/(-3) - (-15033)/9 - h prime?
True
Suppose 3*o - 21 = 18. Let l(w) = -w**3 + 13*w**2 - 3*w + 11. Let d be l(o). Is (-1280)/d + 4/14 composite?
True
Suppose -3*b - 4*z + 13 = -6*b, 0 = 5*z - 20. Let r(k) = -3*k + 1. Let d be r(-6). Is 1*(d - (b - 3)) a composite number?
True
Let q be (-2)/(-3)*(4 + 2). Suppose -4*h - h = 5*c - 20, -q*h - 8 = -2*c. Suppose 2*u + 2*u - 4 = 0, -c*d = -4*u - 3000. Is d prime?
True
Suppose -f + 29320 = 4*f. Suppose -2*z - b = -f, -4*z + 9846 = -5*b - 1896. Is z composite?
True
Suppose -u - 25 + 110 = 0. Let z(i) = 35*i + 126. Let h be z(-3). Let s = h + u. Is s a composite number?
True
Suppose 468 = -0*v + v + 4*f, -10 = -2*f. Let w = v + -263. Is w a prime number?
False
Let h = -6 + 9. Suppose -h*f + b = 15, 0*b - 15 = -5*b. Is 597*(f/(-12))/1 a prime number?
True
Let f be (-8)/6*2*(-3)/2. Suppose -22 = -f*x + 286. Is x prime?
False
Let k(m) = m**3 + 4*m**2 + m. Let v be k(-3). Suppose -2*l + 37 = -3*t + v*t, -51 = -3*l - 3*t. Is l prime?
False
Is (909 - -2)/(1/1) composite?
False
Let i(d) = 2*d**2 - 4*d + 19. Let g(o) = -2*o**2 + 4*o - 18. Let w(s) = -6*g(s) - 5*i(s). Is w(3) composite?
False
Let p be (0 - (1 - 1)) + -140. Let a be (-299 + -4)*-1*(-1 - -2). Let u = p + a. Is u a composite number?
False
Let a = -22883 - -39598. Is a prime?
False
Suppose 15*r = 24*r - 30843. Is r a composite number?
True
Let u(d) = -5*d + 3. Let f be u(2). Is (-2936)/f + (-27)/63 composite?
False
Let x be (-84)/147 + (-176)/(-14). Suppose -x*o - 63 = -1059. Is o composite?
False
Suppose 5*p - 25 = 0, 0 = -5*t + 2*p - 7*p + 2150. Suppose 0 = -d + 2*n + 427, -n - 2*n - t = -d. Is d composite?
False
Suppose -q + 5*y + 11125 = 4*q, 3*y + 12 = 0. Is q a prime number?
True
Let g(q) = q + 7. Let o be g(-3). Let p = -5 + o. Is p + -2 + 5 - -217 prime?
False
Suppose -2*o = -10*o. Suppose -4*v + o*v = -596. Is v composite?
False
Let t = 6177 - 1430. Is t composite?
True
Suppose 0 = 5*t + 2*w - 6841, 1361 = -6*t + 7*t - 2*w. Is t a prime number?
True
Suppose -2*k + 3*k = -2*f - 5, -4*f = -k + 25. Suppose k*u = -4*m + 8171, 2*u = 3*m - u - 6162. Is m a composite number?
True
Let x = -223 + 2042. Is x a composite number?
True
Suppose -19*f + 21*f = 17410. Is f prime?
False
Let j(o) = o**2 - 9*o + 7. Let q be j(3). Is ((-2)/q)/1 + (-118410)/(-330) composite?
False
Is 1 - (0 - (6 + 22002)) a composite number?
True
Let b = -758 - -4077. Is b prime?
True
Let v(m) = 7*m**3 - 9*m**2 - 8*m + 3. Let o = -46 + 53. Is v(o) composite?
False
Let n be 5 + -1 + 1 - (10 + -11). Suppose -215 = n*i - 2297. Is i a prime number?
True
Let u(f) = 3*f**2 + 6*f + 32. Let i be u(-25). Let z(q) = 2*q. Let d be z(2). Suppose d*w + 3*w = i. Is w prime?
True
Suppose 0 = -6*g + 11*g - 5*t - 115470, 115475 = 5*g - 4*t. Is g composite?
False
Let t(s) = 2*s**2 + 10*s - 103. Is t(-14) a composite number?
False
Is -3548*(51/(-12) - -2 - -2) a composite number?
False
Suppose h - 694 = 2*m + 3*m, m - 688 = -h. Let t = -304 + h. Suppose -4*n + t = 21. Is n composite?
True
Suppose 0 = -2*b + b - 420. Let n = -226 + -67. Let z = n - b. Is z a prime number?
True
Suppose 10*v = 5*m + 7*v - 153043, 0 = 2*m - 2*v - 61214. Is m a prime number?
False
Let a(d) = 5*d - 69. Let h be a(14). Is 73*5 + 3 + (-2 - h) prime?
False
Suppose 4*g + g = -3*o - 1, -4*o - 2*g = 6. Is 43020/140 - o/(-7) a composite number?
False
Suppose -16 = 6*q - 10*q. Suppose -3*t + 91 = -q*n, -4*t + 2*t + 76 = 5*n. Is t composite?
True
Let d(l) = 6*l**2 + 8*l + 15. Is d(-7) prime?
False
Is -1 - (-110876)/14 - (-26)/91 a composite number?
False
Let a be -2 - (3 + -9)/3. Suppose 3*u = 3*r - 0*r + 30, a = 3*r + 15. Suppose -348 = -u*f + 1637. Is f composite?
False
Let q be 2 + -4 + 5869 + -4. Suppose 0 = -3*g + 3*z + q - 397, g = -4*z + 1827. Is g prime?
True
Suppose 3*b - 65868 = 11*z - 6*z, 0 = -4*b + z + 87841. Is b prime?
True
Suppose 6*p + 4*g - 1709 = 3*p, 4*p + 3*g = 2267. Let a = -156 + p. Is a a prime number?
False
Let n(f) = -f**3 - 8*f**2 - 3*f - 20. Let t be n(-8). Suppose 2*l = -l - x + 2107, 0 = -t*l - 4*x + 2820. Is l a prime number?
True
Let s(r) = -2*r**3 - 51*r**2 - 34*r - 104. Is s(-35) composite?
True
Let b(y) = y**3 - 7*y**2 + 4*y - 9. Suppose 3*j - 6*a = -4*a - 3, 15 = -j - 4*a. Let n be -1*(j - -10)/(-1). Is b(n) a prime number?
True
Let w(r) be the second derivative of 75*r**4/4 - 7*r**3/6 - 3*r**2 - 6*r. Is w(-1) prime?
False
Let k(y) be the second derivative of -y**4/12 - 2*y**3 + 9*y**2 + 8*y. Let u be k(-13). Suppose 13 = -u*l + 2698. Is l a prime number?
False
Suppose 86 = -5*f - 214. Let m be ((-558)/10)/(4/f). Suppose 3742 - m = 5*c. Is c a composite number?
True
Suppose 11 = 5*q + 3*w + 2, 4*q + 5*w = 15. Let a be (-4 - (0 + -5))*q. Suppose 2*f = h + 4442, a*h + 8860 = 4*f + 4*h. Is f composite?
True
Let h(g) = 89*g + 13. Let t be 3 - 1 - 9 - -1. Let q(v) = -45*v - 7. Let w(u) = t*h(u) - 11*q(u). Is w(-1) a composite number?
True
Let f(s) = s**2 + s + 1. Let v(i) = i**3 + 2*i**2 - 394. Let r(c) = f(c) - v(c). Is r(0) prime?
False
Suppose -5*v + 2*m = -51 - 21, 44 = 4*v - 5*m. Let d = v - 11. Suppose 5*j - 2055 = d*w, -5*j - 2*w + 344 = -1697. Is j a prime number?
True
Let i(b) = -3*b - 24. Let w be i(-11). Suppose 3*z = 5*d + 5*z - w, 4*d = 5*z + 27. Is d a composite number?
False
Suppose -2*g + 4630 = 2*p, -4*p + p = -4*g - 6917. Suppose -2*a - 2*a + 1854 = -2*d, 4*d = -5*a + p. Is a a prime number?
True
Suppose -7*a = 9*a - 10960. Is a composite?
True
Is (14 - 13)/((-3 - 0)/(-25827)) a prime number?
True
Suppose 5*a + 15 = 0, -5*w + 5*a - 4*a + 1088 = 0. Let l = 139 + -371. Let u = w - l. Is u a prime number?
True
Suppose 102 - 160 = -29*i. Suppose -b = 4*b.
|
{
"pile_set_name": "DM Mathematics"
}
|
.4 (c) -20
a
Suppose q + 11 = -4*f, -12*q - 2*f = -17*q - 11. Let o = 8/427 - 1886/55083. Let d = o + -121/516. Which is the smallest value? (a) d (b) -4 (c) q
b
Let g = -3 - -2.5. Let y = 375.76 - -3.24. Let d = -382 + y. What is the third biggest value in d, g, 1/2?
d
Let a(n) = n**2 - 44*n + 293. Let w be a(36). Let k be ((-3)/(-11))/((-3)/2). What is the third smallest value in w, 0.1, -1, k?
0.1
Suppose -1219 - 221 + 374 = -82*x. Which is the third smallest value? (a) 31 (b) x (c) -4
a
Let x = 4.132 - 6.132. What is the third smallest value in x, -6, 36?
36
Let z = -151.4 - -151. Suppose 0*h = 5*q + h - 5, 3*q = 3*h + 21. Let m be q - 1*24/14. Which is the smallest value? (a) z (b) m (c) -2/17
a
Let k(z) = z - 7. Let u be k(5). Let f = -1841/4 - -9209/20. Which is the fourth biggest value? (a) f (b) u (c) 0.3 (d) -4
d
Suppose -u - 3*k + 6 = 0, 0*u + 2 = 2*u - 4*k. Let v = 44 - 39. Suppose -j = 2*l - u, 5 = j + v*l - l. What is the second biggest value in 5, j, -5?
j
Let t = 1855.94 - 1856. Which is the third biggest value? (a) t (b) 1 (c) 2 (d) 5
b
Let w be ((-3)/4)/((-27)/30). Let o = 874532/51 + -17147. Let r = o + -1/51. What is the third smallest value in w, r, -0.3?
w
Let s = 5930 - 5936. Which is the second smallest value? (a) 9 (b) 17 (c) s
a
Let m = 36389 + -36400. Which is the third smallest value? (a) 0.7 (b) 1 (c) 0 (d) m (e) -0.1
c
Let b = -7323.5 + 7324. What is the fifth biggest value in 1, 2, b, 5, -14?
-14
Let f = 3.017 + -5.517. Which is the smallest value? (a) f (b) 0.4 (c) -139
c
Let x = 977 + -727. Let i be ((-20)/x)/(2 + (-57)/30). Which is the third biggest value? (a) i (b) -4 (c) -0.4 (d) -1
d
Let b = 35.9 + -33. Let d = 3.2 - b. Suppose p + 5*k - 19 = 4*p, 5*k = p + 23. What is the third smallest value in -0.4, d, -4/3, p?
d
Let d = 4.374 + -1.374. What is the third smallest value in 1, -34, 4, d?
d
Let h be ((-2)/(-3))/((-7)/(-126)). Suppose -h*z = -13*z. Let g be (-217)/(-124)*(27/21 + -1). Which is the third biggest value? (a) -4 (b) z (c) -2 (d) g
c
Let x = 1310 - 1314. Which is the second biggest value? (a) -0.8 (b) 21/5 (c) x
a
Let x = -19153/4 - -4788. Let o = 332/1947 - -2/177. Which is the fourth biggest value? (a) -9 (b) 3 (c) x (d) o
a
Let v = -4905 - -4905.9. Which is the second smallest value? (a) 8/7 (b) 1 (c) v
b
Let t be 54/((-212058)/(-3129)) - ((-4)/22)/(-2). What is the third smallest value in -2/7, t, -2/5, -0.8, -1/12?
-2/7
Let n = -84 - -52. Let u = 32.28 + n. Let x = 0.68 - u. What is the biggest value in -0.4, x, -2/23?
x
Let n(j) = j**2 + 3*j - 5. Let k be n(-3). Let w = 85 + -424/5. Which is the biggest value? (a) k (b) -2/17 (c) 1/2 (d) w
c
Let r = -0.9666 - -1.0666. What is the second biggest value in r, -3, -2/101, 4, 2/5?
2/5
Let g = -86142437/71253 + 47146/39. Let i = 1/783 - g. What is the smallest value in 3/8, i, 0?
0
Suppose 0 = 2*h - 3*p - 46, -4*h + 4*p = -7*h + 35. Let d be ((-2)/h)/(5/(150/(-24))). Let z = d - 259/374. Which is the biggest value? (a) -5 (b) z (c) 0.6
c
Let v(m) = m**2 + 11*m + 1. Let c be v(-6). Let t be (-4)/(-20) + 3 + c/(-5). Suppose t*f + 0*f - 18 = 0. What is the fourth biggest value in -4, -1/10, 9, f?
-4
Let j = 28877.4 - 28877. Which is the third smallest value? (a) j (b) 2 (c) 1 (d) -405
c
Let q = -31.972 + 32. Let o be (36/(-24 - -15))/(3 - -1). Which is the biggest value? (a) q (b) o (c) 0.4 (d) -0.4
c
Suppose -6*r = 6*r - 60. Suppose -l = -3*o + 12 + 6, -o - r*l = -22. Let i be (-3)/6*2 + -4. Which is the biggest value? (a) i (b) o (c) 3
b
Let k = 0.2 + -0.5. Let t = 6.5078 - 1.5078. Which is the third biggest value? (a) t (b) k (c) 2.9
b
Let z be (-9)/207 + (-360)/1242. Which is the fourth biggest value? (a) 1 (b) -4 (c) -1/208 (d) z
b
Let u = -30.256 + 30.884. Which is the third biggest value? (a) u (b) -3/8 (c) 2/9
b
Let n = -378 - -250.3. Let z = -128 - n. What is the third biggest value in -0.15, z, 4, 0.06?
-0.15
Let b = 154.3 - 154.2. Let j = 414/35 + -73/7. Let k = 1/10 + j. What is the second smallest value in -7, k, b?
b
Suppose 3*z = -i - 9, -4*i = -65*z + 69*z + 12. Which is the smallest value? (a) -4 (b) -6 (c) z (d) 0.2 (e) 3/14
b
Suppose -116 + 279 - 126 = 37*m. Which is the fifth biggest value? (a) 2 (b) -1 (c) m (d) 2/3 (e) -348
e
Let f = 43 + -41. Let h = -2.54 + 0.54. Let g = -1.9 + 2. What is the smallest value in h, -1, g, f?
h
Let g(h) = -h + 10. Let q be g(6). Suppose -3*f - 12 = 3*w, -2*f = -w + 8 + 6. Let x be f/10 + (-55)/(-50). What is the second smallest value in q, -19/5, x?
x
Let w = 5 - -2. Let k = 7.5 - w. Let h = 0.03123 + -1.03123. Which is the biggest value? (a) -0.2 (b) h (c) k (d) 1
d
Let r = 2424 - 2421. Which is the biggest value? (a) -1/16 (b) 0.7 (c) r (d) 1/3
c
Let r = -5143.717 - -5144. Which is the smallest value? (a) -3/4 (b) 6/5 (c) r
a
Let p = 3763 + -3766. What is the smallest value in -0.3, 535/6, p?
p
Let y = 1.478 - -0.332. Let m = y - 1.31. Which is the biggest value? (a) m (b) 0 (c) -1/3
a
Let i be 98/245*6/4. Which is the fourth biggest value? (a) 471 (b) 4 (c) -1 (d) i
c
Let x = 46.2 - 45. Let z be ((-39)/(-741))/(2/(-4)). What is the third smallest value in 2/5, z, x?
x
Let z = -74.01 + -0.99. Let i = 463.5 + -461.5. Which is the second biggest value? (a) -2 (b) i (c) z
a
Suppose 6*j + 139 = 13. Let v be 14/j + (-16)/(-6). Let c be (v - 2) + (1 - 1) - 1. What is the fourth biggest value in c, 3, -9, -0.4?
-9
Let u = 0.5 - 1. Let o = -16285 - -16284. Which is the smallest value? (a) -2/3 (b) u (c) o (d) 0.3
c
Let g = -3 - -2. Let v be 1495/(-897) - 39/(-18). What is the second smallest value in v, 5, g, -3/2?
g
Let k = 10428/61 + -171. Which is the fourth smallest value? (a) k (b) -1/7 (c) 0.4 (d) -4
c
Let o(x) = 6*x**2 - 46*x + 61. Let w be o(6). Let n = 3 + 1. Which is the second smallest value? (a) -4 (b) w (c) n
b
Let w = 6139 + -6139. Which is the second smallest value? (a) w (b) -0.3 (c) 8 (d) -2 (e) -5
d
Let n = -217 - -215. Let z(f) be the third derivative of -f**5/60 + f**4/24 + f**3/3 - 6*f**2. Let c be z(3). What is the biggest value in n, -0.09, c?
-0.09
Let x(h) = 32*h + 507. Let s be x(-16). What is the third smallest value in 0, s, -0.1, -1/2?
-0.1
Let f(h) = -119*h - 110. Let w be f(-4). Let b = w + -365. What is the biggest value in b, -0.4, -3?
b
Let y = 2504.147 - 2504. What is the smallest value in 1/5, 3, -4, y, -1?
-4
Let x = 7 + -9. Suppose 7*h + 2*h + 27 = 0. Let r be (-13)/h - (-26 + 31). What is the second smallest value in x, 1.2, r?
r
Let m(b) = -244*b + 1059. Let p be m(4). What is the third biggest value in -0.13, 3, p, -2?
-0.13
Suppose 14*h - 5*s - 1019 = 18*h, 2*h + 510 = -2*s. What is the third biggest value in 5, -4/5, -2, -4, h?
-2
Let c = 218.6 + -39.6. Let x = 181 - c. What is the biggest value in 0.4, -0.4, x, 1?
x
Let r = 26 + -55/2. Let l = r + 17/14. Let n = l - 0. Which is the second biggest value? (a) 3/8 (b) -2 (c) n
c
Let b = 22.17 + -23.1. Let u = -1.04 - b. Let y be -1 - 4/(-3) - 1. What is the third smallest value in u, y, -0.1?
-0.1
Let x = -76.07 - -76. Let i = x - 0.13. Let j = 2.8 - -0.2. Which is the second smallest value? (a) -5 (b) i (c) j
b
Let z = 0.311 - 0.27. Let s = 0.091 - z. What is the second biggest value in 3, 1/4, s, 1?
1
Let w(x) = -x**2 + 4594*x - 13776. Let i be w(3). Let v = 1 - 3. Which is the smallest value? (a) i (b) v (c) 5/6
a
Let l = 14 - 10. Let m be (l/6)/(-2*(-4)/(-6)). Which is the third smallest value? (a) 6 (b) 0.02 (c) m (d) 5
d
Let y = -44.618 + 3.618. What is the second biggest value in 1, 5, y?
1
Let l = -396 - -395.8. Let j = 7 - 5. Let d be 0/2 - (-4 + j). Which is the third smallest value? (a) -2/23 (b) d (c) l
b
Let i = 1316 - 1320. Which is the third smallest value? (a) i (b) 0 (c) -2 (d) 198
b
Let d be (12/(-36))/(4/92). What is the second biggest value in 2/9, d, -2/15, 4?
2/9
Let z be 24/(-182) + (-68)/(-238). Which is the biggest value? (a) z (b) -2 (c) -12
a
Let v = 229 - 225. Let r = -12.03 - -3.03. Which is the second biggest value? (a) r (b) v (c) 9
b
Let d = 111.89 + -111.69. What is the second smallest value in -3/2, 0.8, 0.06, d, 1?
0.06
Let d
|
{
"pile_set_name": "DM Mathematics"
}
|
ve v*f + 2 = 5 for f.
1
Suppose 0 = 486*a - 481*a - 10. Solve -o + a*o = 5 for o.
5
Let p = 2 + 2. Suppose -5*i - y + 20 = -3*y, -3*i = -y - 11. Solve i*s = -2 - p for s.
-3
Suppose 3*b + 99 = 2*z, -16*b + 21*b + 235 = 5*z. Solve z - 10 = -8*j for j.
-4
Suppose -5*y - 1 = 29. Let n be (1 + 0)/(y/(-18)). Solve 5*k - 2 = n for k.
1
Let u(d) = d**3 + 7*d**2 + 9*d + 9. Let q be u(-5). Solve -10*n + 16 = -q for n.
3
Suppose -3*q + n = -0*n - 8, 4 = 2*q - n. Suppose 4*i + 2*v = 0, 0 = 4*i + q*v + 12 - 4. Solve -6 - 2 = -i*r for r.
4
Let g be (-5 - -12)/(2 - -3 - 4). Solve -o - g = -3 for o.
-4
Let m(u) = -u**3 - u. Let v be m(0). Suppose -60 = -v*q - 4*q. Solve -5*k = -8*k - q for k.
-5
Let h(k) = 2*k**3 + 11*k**2 + 8*k - 4. Let y be h(-4). Solve y*b - 19 = 5 for b.
2
Let s(t) = 8*t**3 + 6*t**2 + 10*t. Let f(i) = 7*i**3 + 6*i**2 + 9*i - 1. Let o(g) = 7*f(g) - 6*s(g). Let j be o(-5). Let l = j + -2. Solve -10 + l = -3*a for a.
3
Suppose -2*y + y + 5*j - 23 = 0, -3*y + 5*j = 19. Let x be (6/(-4))/(y/8). Let m be (x/12)/(2/(-12)). Solve 0 = 2*w + m*w + 25 for w.
-5
Suppose -4*y = 4*r - 1 - 7, -y - 2 = -3*r. Solve y - 1 = 5*j for j.
0
Suppose 193 = 4*u + 5*o - 0*o, -u + 2*o = -58. Let z = u - 51. Solve -2*b = -7 - z for b.
4
Let a be 2/6 + (-2)/6. Suppose 3*p + 10 = -2*r, a = -4*r - 4*p - p - 16. Solve -3*b + 2*b = r for b.
-1
Let o(m) = m**2 - 4*m - 56 + 87 - 50 - 5*m. Let x be o(11). Solve 3*d + 0 = x for d.
1
Suppose -y + 12 = 3*y. Suppose 2*s = -8, -2*s = 3*z - 30 + 38. Solve z = -y*k + 4*k + 1 for k.
-1
Let d(r) = r**2 - 6*r - 8. Let n be d(6). Let o be ((-2)/n + 1)/((-2)/(-8)). Solve o*f = 4*f + 3 for f.
3
Let c be ((-28)/12)/7*-15. Let v = c - 1. Solve -x + 0*x + v = 0 for x.
4
Suppose 2*v = v. Let f be (3 + -2)*(4 + v). Solve f*g - 13 = 3 for g.
4
Suppose -c + 2 = 5*u, -c - 2*c + 6 = -3*u. Let x(b) = 3*b - 7. Let k be x(9). Suppose 3*y - k = -c. Solve v + y = -v for v.
-3
Let l be 8/(-6) + 1 - 22/(-3). Let f = 10 - l. Solve -u = -2 + f for u.
-1
Let q be (-5)/(66/(-12) - -3). Solve -q*c = c for c.
0
Let b = 305 - 287. Solve -50*w + 44*w = b for w.
-3
Suppose -2*b + 11 - 3 = 2*q, 5*q + b = 20. Suppose 2 = -c + 6. Solve 0 = q*l + c - 0 for l.
-1
Suppose -5*o + a + 27 = 0, 4*o - 5*a + 1 = 10. Solve o*h = h + 10 for h.
2
Let g = 3 - 2. Let i(l) = 29*l + 2. Let k(q) = 59*q + 5. Let w(t) = 7*i(t) - 3*k(t). Let u be w(g). Solve -2*y = 3*y + u for y.
-5
Suppose -31 = -2*l + 3*h, 3*l - 55 = -h - 14. Suppose -n + 3 = -2*n + b, -3*b = 2*n - l. Solve w + 3 = n for w.
-2
Let k(x) = x**2 - 31*x - 25. Let o be k(32). Let n(y) = y**3 + 3*y**2 - 4*y + 1. Let d be n(-4). Let b be 2/(-6)*(d - o). Solve -6*v = -b*v - 8 for v.
2
Let p be 6 - (4 - 7 - 1). Solve 9*i + 35 = -p for i.
-5
Let k(h) = h**3 + 6*h**2 + 5*h + 6. Suppose -2*j = -3*j - 7. Let c(a) = -a - 12. Let s be c(j). Let x be k(s). Solve -y - x = y for y.
-3
Let o be (-66)/99 + (-116)/(-12). Let x be -5*1*(1 - 0). Let k = x - -9. Solve k*j + 7 = -o for j.
-4
Suppose 0 = -5*j + 9 + 21. Suppose 0 = -4*k + m - 0*m + 39, -k - m = -j. Let n = k - 9. Solve 3*d - 1 - 5 = n for d.
2
Let r(g) = 24*g**2 - 5*g + 1. Let q be r(1). Solve 0 = -8*t + 3*t + q for t.
4
Suppose 4*u + 3*z = 48, -5*z + 60 = 5*u - z. Suppose f = u - 7. Solve -f*n - 2 = -6*n for n.
2
Suppose -4*g + 3*u + 6 = -12, -g + 4*u + 11 = 0. Let i(p) = -9*p**3 - p**2 - p - 1. Let n be i(-1). Solve n*q = g*q - 20 for q.
-4
Suppose -40*w + 120 = -10*w. Let n be (3 - (-13)/(-3))*-6. Solve -w*j + 0 = n for j.
-2
Let r(h) = -h**2 + 5*h + 1. Let i = -4 - -5. Suppose -5 + i = -v. Let k be r(v). Solve 0*u = k*u for u.
0
Let w be ((-36)/126)/((-1)/14). Suppose o = h - 0*h + 4, -h - w = 2*o. Solve -4*j - j = o for j.
0
Suppose -5*y = y - 48. Solve 3*b = 5*b - y for b.
4
Suppose 0 = g + 1, 4*r - 7 = -5*g + 12. Let a(o) be the first derivative of 5*o**2/2 - 6*o + 1. Let d be a(r). Solve 0 = -5*y - 1 - d for y.
-5
Suppose -r - 18 = -a, 3*r = -a + 24 - 2. Let h = a + -19. Let k be -2*4/(-8) + h. Solve -13 = -4*j - k for j.
3
Let q be -258*(5 - 28/6). Let l = -76 - q. Solve 5*m - 7*m = -l for m.
5
Suppose -2*b + u = -23, -u + 12 = 13. Solve -9*a + 7 = -b for a.
2
Let c(p) = 9*p - 4. Let m(d) = d**2 + 13*d + 25. Let g be m(-11). Suppose -4*z - 6 = 2*f + g*f, -z = -2*f - 5. Let a be c(z). Solve -19 = a*s - 4 for s.
-3
Let g(q) = 55*q + 6. Let o be g(0). Solve 26*c = 28*c + o for c.
-3
Let w(v) = 36*v - 14. Let g(p) = -5*p + 2. Let a(s) = -44*g(s) - 6*w(s). Let n be a(6). Let c = n - 17. Solve -3 + 6 = c*m for m.
1
Let a(p) be the first derivative of -23*p**2/2 + 2*p - 31. Let l be a(-1). Solve -l = 4*j + j for j.
-5
Let d be (1 - 5/(-10))*(-264)/(-18). Solve -d*w - 40 = -12*w for w.
-4
Let l(o) = -o**3 - 4*o**2 + 4*o. Let a be l(-5). Let q be (-6)/(-18) - 38/(-3). Let i = 15 - q. Solve -a*n + 7 = i for n.
1
Suppose 26 = 3*t + k, 4*t - 3*k = 2*t + 10. Suppose -2*u + 12 = -t. Suppose 5*f - u = -m + 5, -5*m + 15 = -5*f. Solve f*w + 15 = -w for w.
-5
Let q be 2/(-2)*3 - -7. Let u = q + -9. Let z = u + 8. Solve -17 = z*s - 2 for s.
-5
Suppose 21*h = 20*h + 4. Solve 0 = f + 8 - h for f.
-4
Let z(v) = -3*v**3 - 9*v**2 + 8*v - 14. Let b(c) = 4*c**3 + 9*c**2 - 8*c + 15. Let f(h) = -4*b(h) - 5*z(h). Let a be f(8). Solve 8*w - 3*w - a = 0 for w.
2
Let o(c) be the third derivative of -c**4/8 - 11*c**3 - 6*c**2 - 3. Let s be o(-25). Solve -2*i - s = i for i.
-3
Suppose -5*g + 0 + 5 = -5*m, m = 4*g - 7. Suppose -c - 3*c = -5*z - 28, 0 = -4*c - 2*z. Suppose -c = -2*y + y. Solve y*h - h = m for h.
1
Let z be 1*-5*116/(-145). Solve -z - 2 = -2*o for o.
3
Suppose 4*u - 16 - 10 = -2*n, 2*n - 1 = u. Solve 0 = -24*k + 123 - n for k.
5
Let f be (-233)/5 + 16/(-40). Let u = 47 + f. Solve u*y = 4*y + 20 for y.
-5
Let w(t) = 3*t**2 + 2*t + 1. Let u be w(-1). Let g(l) = -39*l + 13. Let s be g(5). Let z be 6 + s/(-21) - 2/3. Solve 4*a - u - z = 0 for a.
4
Suppose 0 = -34*r + 31*r + 6. Suppose r*v - 30 = -0*v. Suppose -4*n - i + 20 = -5, -3*n + v = 2*i. Solve n + 8 = -3*s for s.
-5
Let a be 39/(-52) - 15/(-4). Suppose a = i - 1. Solve i*h + 0*h = 4 for h.
1
Let h(w) = -w**3 + w**2 + 2*w + 2. Let p be h(0). Suppose -2*a + 3*r + 1 = -1, -r = -a + p. Solve -11 + 3 = a*d for d.
-2
Let r be -6*16/(-12) + 1. Suppose u + 30 = 5*z, 35 = -r*z + 13*z - 3*u. Solve z*p + 14 = -11 for p.
-5
Suppose 36 = -11*o + 12*o. Let i = o + -34. Solve -f + i*f + 1 = 0 for f.
-1
Suppose 5*t - t = 3*m + 3, 30 = 5*t + 5*m. Solve 10 = -t*d + 5*d for d.
5
Suppose -26 = -4*m - 3*c, m - 3*c + 11 = 2*m. Solve 41*v - 40*v - m = 0 for v.
5
Let j(k) = -k**2 + 13*k - 12. Let s(y) = 3*y**2 - 40*y + 37. Let p(r) = -11*j(r) - 4*s(r). Let g be p(16). Solve -5*m + 13 + 7 = g for m.
4
Suppose -36 = -103*c + 101*c. Solve 4*s = 6 - c for s.
-3
Let p(b) = -b**3 - b**2 - b. Let q(i) = -13*i**2 - 14*i + 3. Let h(y) = -p(y) + q(y). Let v = 567 + -554. Let u be h(v). Solve -2*z - 2 = -u*z for z.
2
Let j be 2/1 + -2*1. Let h be (4/8)/((-1)/(-4)). Solve -l = -j*l - h for l.
2
Let c = 13 + -13. Let w = c + 10. Let b = w + -7. Solve b = -4*y - 9 for y.
-3
Let n = 107 + -105. Suppose -4*z = 20, -2*p + 32 - 2 = n*z. Solve -2*d = 2*d - p for d.
5
Suppose -6*f = -2*f + 16, 4*f + 19 = q. Solve w + q = 8 for w.
5
Let p be 6/(-1)*1/(-3)*2. Let w(r) be the second derivative of -r**5/20 - r**4/6 - r**3/6 - 3*r. Let u be w(-2). Solve u*a = p*a for a.
0
Suppose -4*j = -0*j - 8. Let x(i) = 5*i + 65. Let k be x(-13). Suppose 5 = 4*w - 7. Solve -j*h + w + 7 = k for h.
5
Let b be -1 - -1 - (0 + 34). Let q = 34 + b. Suppose 30 = 3*x + 5*n, 4*x - 16 = -x + 3*n. Solve l + q + x = 0 for l.
-5
Let a be (144/(-20))/((-6)/15). Solve 7*x = a - 4 for x.
2
Suppose 5*n = 3*x - 10, -4*n + 4*x - 28 + 12 = 0. Suppose -2*j = -n - 5. Suppose -2*r + 3 = s, j*r - 4*r + 3*s + 5 = 0. Solve r*f + f = 0 for f.
0
Let b(m) = 5*m + 1. Let u be b(4). Let a = u + -18. Solve z + 2 = a for z.
1
Let c(a) = 18*a - 124. Let m be c(7). Solve m*z - 5 = 3 for z.
4
Let l = -1 + 13. Let g(o) be the second derivative of o**3/3 - 17*o**2/2 - 7*o. Let m be g(l). Solve 2*d + m = 1 for d.
-3
Let y(l) = l**3 + 5*l**2 - 9*l - 6. Let j be y(-6). Solve -15 = 9*m - j*m for m.
5
Suppose -5*j = h + 47, -21 - 18 = h - 3*j. Let m = -39 - h. Solve 0*f = f - m for f.
3
Let y be ((-324)/45)/((-2)/5). Suppose 5*i
|
{
"pile_set_name": "DM Mathematics"
}
|
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True
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True
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False
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True
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True
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False
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False
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False
Is 8022101489 a prime number?
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True
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True
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False
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True
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False
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True
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False
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False
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False
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False
Is 8511630233 a prime number?
True
Is 14065201099 prime?
False
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True
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False
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Is 140503251197 a prime number?
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True
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Is 2358507841 prime?
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True
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True
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True
Is 92597313643 a prime number?
False
Is 160257893 a prime number?
False
Is 2134557049 composite?
True
Is 1326370027 prime?
True
Is 497669813 composite?
False
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Is 972136663 a prime number?
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Is 518246335 prime?
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Is 11793598403 a prime number?
False
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False
Is 114725855963 a composite number?
False
Is 61727987197 a prime number?
True
Is 1100360203 a composite number?
True
Is 706011091 composite?
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Is 12386863547 a prime number?
True
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Is 1146940051 a prime number?
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False
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True
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Is 2613
|
{
"pile_set_name": "DM Mathematics"
}
|
2*u. What is the remainder when 20 is divided by r?
6
Let q(c) be the second derivative of -c**3/6 + 5*c**2 - 3*c. Let l be q(8). Suppose 4*f - l - 38 = 0. What is the remainder when 39 is divided by f?
9
Let q(l) = l**3 - l**2 + 4. Let u be q(0). Suppose -16 = u*s - 64. What is the remainder when s is divided by 7?
5
Suppose 17 = 3*r - 40. Calculate the remainder when r is divided by (-5)/(((-2)/(-10))/(2/(-5))).
9
Let r = 15 - 7. Calculate the remainder when r is divided by 3.
2
What is the remainder when ((-3)/(-6))/(2/772) is divided by 15?
13
Suppose 0 = -l + 5*l - 20. Calculate the remainder when 24 is divided by l.
4
Let i = -14 - -8. Let c = 10 - i. Suppose f = -2*t + 45 + 51, 0 = 3*t - 3*f - 135. Calculate the remainder when t is divided by c.
15
Let d be 0 + 0 - (1 - 1). Suppose -4*c - 16 = d, -v + 2*c - c + 13 = 0. Calculate the remainder when 17 is divided by v.
8
Suppose 3*b + 3 = -0*b, -5*b = 2*n + 13. What is the remainder when 2 + n - (-40 + 0) is divided by 13?
12
Suppose -2*w + 3 = -5. Calculate the remainder when 13 is divided by w.
1
Suppose -4*v - 4*s = -168, 20 = -0*s + 4*s. What is the remainder when v is divided by 10?
7
Let k(q) = q**2 - q. Let b(m) = m**3 - 4*m**2 - 11*m + 11. Let w(l) = b(l) - 3*k(l). What is the remainder when 32 is divided by w(8)?
10
Suppose -5*r + 52 = -23. Calculate the remainder when r is divided by 8.
7
Suppose 5*p - 70 = -5*i, -2*p = 2*p - 5*i - 56. What is the remainder when 37 is divided by p?
9
Suppose 0 = -5*r - 3*b + 51, 36 = 4*r + b - 2. Let v(a) = -a**2 - 6*a - 4. Let s be v(-4). Suppose -14 = -s*w + 6. What is the remainder when r is divided by w?
4
Suppose -2*l + 5*f = 3*f - 20, -2*f - 6 = 0. Calculate the remainder when 12 is divided by l.
5
Let n(i) = 3*i + 1. Let f be n(1). Suppose 0 = -f*m + 2*x + 20, 4*m - 3*x = m + 15. What is the remainder when (3/6)/(3/84) is divided by m?
4
Let i = 69 - 50. What is the remainder when 54 is divided by i?
16
Suppose -37*n + 36 = -25*n. What is the remainder when 124 is divided by n?
1
What is the remainder when 20/3 - 1/(-3) is divided by (21 + -15)/((-6)/(1 + -4))?
1
Suppose 2*d - 6 = -0. Let w be 228/(-8)*(-8)/d. Suppose 5*g - 24 = w. Calculate the remainder when 59 is divided by g.
19
Let n be (2/(-1) - -1) + 0. Let u(s) = s - 7. Let d be u(5). Calculate the remainder when 24 is divided by (n - d)*(12 + 1).
11
Suppose -5*w = -148 - 92. Calculate the remainder when w is divided by 26.
22
Suppose 2*f = 6*f. Suppose f = 5*g + 10, 6 + 0 = 2*h - g. Suppose h*r - 200 = -2*r. What is the remainder when r is divided by 13?
11
Let p(m) = -m**2 - m**3 + 4*m + 1 - 6*m + 0*m**2. What is the remainder when p(-3) is divided by 9?
7
Suppose h + 79 = 3*l, 5*l - 5*h = -0*h + 135. Calculate the remainder when l is divided by 14.
12
Let y(u) = 3*u**2 - 4*u - 3. Suppose 2*q + 3*m - 2 = 0, 2*q = -0*q - 2*m. Calculate the remainder when 31 is divided by y(q).
14
Let c = -2 + 4. Suppose q + u = -0*u + 49, 0 = u - c. Calculate the remainder when q is divided by ((-1)/(-2))/((-16)/(-384)).
11
Suppose i + 2 = 48. What is the remainder when i is divided by 24?
22
Suppose -2*d - 5*u + 26 = 0, 0 = -0*d + 2*d + 4*u - 22. Let n = 32 + d. Let a = -1 + 13. What is the remainder when n is divided by a?
11
Suppose 0 = -3*b + 3*u - 12, -2*u + 3*u = 0. What is the remainder when (-121)/(-7) - b/(-14) is divided by 5?
2
What is the remainder when -4 - ((2 - 41) + 4 - 4) is divided by 21?
14
Let t(d) = 5*d - 2. Suppose -7 - 5 = 4*i + 5*o, -2*i + 20 = -4*o. Calculate the remainder when t(i) is divided by (-10)/4*(-1 + -1).
3
Suppose 34*i + 32 = 36*i. Calculate the remainder when 78 is divided by i.
14
Let r(i) = -2*i**2 + 6 + 3*i**2 + 6*i - 2*i**2. Suppose -o = -0*o - 5. Calculate the remainder when 21 is divided by r(o).
10
Let c = 33 - -28. What is the remainder when c is divided by 13?
9
Suppose f = -5*l + 78, -4*f + 5*f + 2*l = 63. Calculate the remainder when f is divided by 28.
25
Suppose 9 - 5 = 2*o. Calculate the remainder when 7 is divided by o.
1
Suppose 41 = -13*q + 14*q. Let y = -4 + q. Suppose 3*w - 38 = -2*h, -4*w + 20 = 4*h - 9*h. Calculate the remainder when y is divided by w.
7
Let k(h) = -8*h - 9. Calculate the remainder when (58/8)/((-1)/(-4)) is divided by k(-3).
14
Calculate the remainder when 214 is divided by -6 + 44 + (-6)/3.
34
Let o = 247 - 223. What is the remainder when o is divided by 6?
0
Suppose 2*h + 3*h = 0. Suppose h = -2*s + 8 - 20. Let w = 29 - s. Calculate the remainder when w is divided by 9.
8
Suppose -3 + 0 = 3*r - 3*m, -5*m = -3*r - 11. Suppose -5*j + 32 + 12 = 3*w, -r*w + 3*j + 36 = 0. Calculate the remainder when 49 is divided by w.
10
Let s(l) = 4*l + 3*l**2 + 0*l**2 + 1 + 1. Calculate the remainder when s(-3) is divided by 6.
5
Let p(r) = 14*r**2. What is the remainder when 40 is divided by p(-1)?
12
Let k(c) be the third derivative of -c**4/3 + 7*c**3/6 + 2*c**2. Let s be k(-7). Suppose s - 15 = 3*q. Calculate the remainder when 46 is divided by q.
14
Suppose -3*w = 37 - 226. Suppose -57 = -4*f + w. Let b = f + -16. What is the remainder when 40 is divided by b?
12
Suppose 2*n - 12 = 2*t, -4*t = n + 4*n - 3. Let s(z) = 4*z**2 - z + 3. Let g be s(t). Suppose -4*x + x + g = 0. What is the remainder when 41 is divided by x?
13
Suppose -4*r + 75 = -3*i + 7, 66 = 5*r + i. Suppose -265 = -5*k + f, 4*f = -0*f. What is the remainder when k is divided by r?
11
Let t be -1 + 0 + 2/2. Suppose 5*i = j + 2, t*j - 1 = -2*j + 5*i. What is the remainder when j is divided by 1?
0
Suppose -5*y - 11 = -76. Suppose 0*b + 4*b - 92 = 0. Calculate the remainder when b is divided by y.
10
Suppose 19*l - 16*l = -84. Let g(d) = 2*d - 4. What is the remainder when g(7) is divided by 2/(-7) - 176/l?
4
Suppose 5*h - 4*h = 1. Calculate the remainder when 1 is divided by h.
0
Let j be 40/(-1)*(-5 - -3). Suppose -4*t = c - 26, c + j = 3*c + t. What is the remainder when c is divided by 11?
9
Suppose -2*y + 5*i = -24, -4*y + i + 6 + 6 = 0. Suppose -9 = -5*t + y*t. Let c(g) = -g**3 - g + 2. Calculate the remainder when t is divided by c(0).
1
Let m be 0/(0/(-1) + 2). Suppose m = j - 3*j + 100. What is the remainder when j is divided by 13?
11
What is the remainder when 43 is divided by (4/((-64)/120))/(1/(-2))?
13
Suppose -4*q - 4*t - 8 = 0, -t - 6 = 2*q + 2*t. Suppose q = -b + 4*b - 129. What is the remainder when b is divided by 15?
13
Suppose 0 = -3*f + 1 - 16, 4*f = -3*p + 88. Suppose 5*y - p = 29. What is the remainder when 147/3*(1 - 0) is divided by y?
10
Let s(n) = 4*n + 11. What is the remainder when 42 is divided by s(0)?
9
Suppose -3*p - 3 = -4*p. Suppose 10 = p*b - 8. What is the remainder when 15 is divided by b?
3
Let w = 31 + -18. What is the remainder when w is divided by 8?
5
Suppose -2*g = 3*u - 71, -5*u - 3*g = -0*u - 118. What is the remainder when 35 is divided by u?
12
Let k = -113 + 64. Let m = -29 - k. What is the remainder when 37 is divided by m?
17
Suppose -15 = -6*y + 3*y. Suppose q = y*c - 246, -3*q - q - 151 = -3*c. Calculate the remainder when c is divided by 13.
10
Suppose 0 = -5*s - 2*d - 4, -4*d + 5 = -7. Let t be (-266)/(-21) + s/3. What is the remainder when 28 is divided by ((-20)/8)/((-2)/t)?
13
Let h = -2 - -6. Suppose -p + 4*q = -34, 3*q + 136 = h*p - 39. What is the remainder when p is divided by 65/4 - (-2)/(-8)?
14
Suppose 1 = -2*d - 1. Let q(m) = 4 - 2*m**3 - 5 + m**2 + 3*m**3 - 24*m**3. What is the remainder when q(d) is divided by 8?
7
Let i(x) = x - 5. Let o(n) = 2*n - 6. Let s(b) = -4*i(b) + 3*o(b). Suppose -z - 45 = -6*z. Calculate the remainder when s(z) is divided by 11.
9
Let g(q) = q**2 - 11*q + 3. Let j be g(8). What is the remainder when 14 is divided by -2 + j/(-3)*1?
4
Let f = 15 + -11. Suppose 0 = n - 0 - f. Let v(q) = -5*q - 1. What is the remainder when v(-2) is divided by n?
1
Let v be ((-4)/6)/(1/(-3)). Suppose 3 + 7 = v*i. Calculate the remainder when i is divided by 2.
1
Let z = -4 + 11. Suppose 9 = 8*d - 95. Calculate the remainder when d is divided by z.
6
Let f be (-790)/(-9) - (-4)/18. Suppose -142 = -5*m - k, 2*m = 5*m + 2*k - f. What is the remainder when m is divided by ((-15)/2)/((-9)/18)?
13
Suppose 8*y = 9*y - 1. Suppose -y = 3*r - 49. What is the remainder when (-274)/(-6) - (-1)/3 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
49.23147. Let v = -0.23 - z. Round v to 4 decimal places.
0.0015
Let a = -601.42 + 610. What is a rounded to zero dps?
9
Let j = 148 - 121. Let w = 25.49 - j. Round w to one dp.
-1.5
Suppose 4*m - m = 6. Suppose -5*v - 5 = 0, -y + 4637 = -m*v - 1965. What is y rounded to the nearest 1000?
7000
Let m = 11 + -11.06. Let y = m - 4.94. Let x = -4.875 - y. What is x rounded to two decimal places?
0.13
Let w = -32 + 55. Let n = -1 + w. Let h = -22.000005 + n. Round h to 5 decimal places.
-0.00001
Let h = -68 + 11. Let v = h + 56.08. What is v rounded to one decimal place?
-0.9
Let g = -0.616 + 0.62049. What is g rounded to three dps?
0.004
Let l = 0.0488 + -3.5488. What is l rounded to 0 decimal places?
-4
Let c = 26.80966 + 92.19369. Let a = c - 119. What is a rounded to 4 decimal places?
0.0034
Let f = 1532.9995755 + -1533. Round f to five dps.
-0.00042
Let n be (-478)/6*(-18)/6. Suppose -5*y + n = 789. What is y rounded to the nearest ten?
-110
Suppose 4*s + s - x = -3218360, 5*s + 3218360 = 5*x. Let b = 156328 - s. What is b rounded to the nearest one million?
1000000
Let i(l) = 2*l**2 + 3*l - 18. Let o be i(13). Suppose 5*v - 5 = -0*v, 0 = 5*y - 4*v + o. Round y to the nearest one hundred.
-100
Let k = -0.1184036 - -287.1426036. Let h = -2.47 + 289.47. Let n = h - k. What is n rounded to three dps?
-0.024
Let q = -161 - -17. Let p = 208 + q. Let l be 10*(2 - (1 - p)). What is l rounded to the nearest 100?
700
Suppose -7846740 = 3*z + 2*t, -2*t = 2*z - 4*z - 5231150. Let b = z - -1535578. What is b rounded to the nearest 100000?
-1100000
Let z = 0.1509 + -49.8609. Round z to the nearest ten.
-50
Let d = 581.99402 + -582. What is d rounded to four dps?
-0.006
Let a = -5964842 - -13320842. What is a rounded to the nearest one million?
7000000
Suppose -1 - 1 = -n. Suppose -n*g + 2268 = -2732. What is g rounded to the nearest one thousand?
3000
Let j(c) = c**3 - 87*c**2 - 303*c + 70. Let h be j(-66). What is h rounded to the nearest 100000?
-600000
Let r = -2.3 + 5.4. Let h = 3.144 - r. Round h to 2 dps.
0.04
Let v = -3735.7433 - -3736. Round v to one decimal place.
0.3
Let w be -3 + 4 + -1 + 3. Suppose d + 1279997 = -3*a, -w*a + 2*a = -4*d - 5120001. What is d rounded to the nearest 100000?
-1300000
Let a = -9792.830022 - -9790.43. Let b = 2.4 + a. What is b rounded to 5 dps?
-0.00002
Let y = 2.3025 - 2.39. Round y to two decimal places.
-0.09
Let f = 33638 + -131989. Let s = f - -98363.0033. Let r = s + -12. What is r rounded to 3 dps?
0.003
Let z = 325 - 325.00868. What is z rounded to 4 dps?
-0.0087
Let s = 1856 + -1856.002728. Round s to four dps.
-0.0027
Let o = -3669473 - -2343509. Let u = o - -6875964. Round u to the nearest one million.
6000000
Let k = 18 - 29. Let f be ((-6)/(-10))/(k/55). Round f to the nearest 10.
0
Let t = 100.114684 - 0.124984. Let u = 100 - t. Round u to 3 dps.
0.01
Let d = 31 + -80. Let j = -49.0272 - d. What is j rounded to three dps?
-0.027
Let c = 16 - 16.03. Let l = -0.02999905 - c. What is l rounded to seven decimal places?
0.000001
Let l = 30 + -19. Let h be (2/2)/(l/16610000). Round h to the nearest 100000.
1500000
Let r = 409 + -258. Suppose -2*t = 5*d - 3*t + r, 42 = -2*d + 5*t. What is d rounded to zero dps?
-31
Let v = 424.98 + -425. Round v to 3 decimal places.
-0.02
Let j = -41.924 - 0.076. Let x = -44321870 + 44321911.999979. Let r = x + j. What is r rounded to five decimal places?
-0.00002
Suppose -26 = -3*i - 5*y, -y = i + 3 - 9. Let j be 1 + (-2)/i + 4. Let q be (-5)/(-10) - (-4399998)/j. Round q to the nearest one million.
1000000
Suppose 5*t - i = -147002, -21*t - 3*i + 88206 = -24*t. Round t to the nearest 10000.
-30000
Let a = 8406246 + -4606246. Round a to the nearest 1000000.
4000000
Let k = 11298778777.99999569 + -11298778518. Let d = -260 + k. What is d rounded to 6 dps?
-0.000004
Suppose 170*f + 6 = 167*f. Let h be ((-96000)/36)/(f/285). Round h to the nearest one hundred thousand.
400000
Let h = -0.444 + 0.4439581. What is h rounded to five dps?
-0.00004
Let k = -743 + 749.844. Round k to one decimal place.
6.8
Suppose -2*z + 3*z = 5. Suppose 5*y = s - 2665 - 1435, -y = -z*s + 20452. Round s to the nearest 100.
4100
Let v = 94.2 - 53. Let j = 39 - v. Let a = j + 2.1985. Round a to three dps.
-0.002
Let u = 24501.9 + -24501.8299956. Let w = u - 0.07. Round w to six decimal places.
0.000004
Let h = -14.42 - -26.65. Let r = -12 + h. Let g = r - 0.22999964. What is g rounded to 7 dps?
0.0000004
Let b = -2387945710.9 - -2387945809.89999917. Let h = 99 - b. What is h rounded to 7 decimal places?
0.0000008
Let r = 0.01508 - 0.0359. Round r to three dps.
-0.021
Let r = -65.2 - -0.2. Let p = r - -64.9935. Round p to 3 decimal places.
-0.007
Let h = -394988 - -179188. What is h rounded to the nearest 1000?
-216000
Let c be (-119661519)/(-9) + 1/(-3). Suppose 27013593 = -3*k + 3926421. Let z = k + c. Round z to the nearest one million.
6000000
Let c = -1487 + 870. Let h = c + 37. What is h rounded to the nearest one hundred?
-600
Let a = -2.62 - -0.67. Let o = a + 1.7. Round o to one decimal place.
-0.3
Let q(n) = -49972*n - 7. Let x be q(-4). Let v = 106119 + x. What is v rounded to the nearest one hundred thousand?
300000
Let q be (-10)/((-1)/(-8) - 88953/711600). Round q to the nearest one hundred thousand.
2400000
Let q be -5 + (-2)/(10/(-25)) + -52300. What is q rounded to the nearest ten thousand?
-50000
Let u(f) = -2*f - 7. Let l be (1*-1)/((-8)/(-48)). Let g be u(l). Suppose 0*x - g*x - 5*h + 380 = 0, 5*h = x - 88. What is x rounded to the nearest 10?
80
Suppose -5*v + 2*v - 19800 = 0. What is v rounded to the nearest 1000?
-7000
Let l be 37084710/(-24) + -5 - (-45)/36. What is l rounded to the nearest one hundred thousand?
-1500000
Suppose -5*w + a = -4*a - 5, -5*a - 5 = -4*w. Suppose w = 5*i + 4 - 19. Suppose i*t + t = 25200000. Round t to the nearest 1000000.
6000000
Let s = -740.99999602 + 741. Round s to 7 dps.
0.000004
Let k(j) = j - 6. Let c be k(4). Let p be (-5)/(-1 - 0) + c. Suppose 5*o + 2*u - 3 = 0, -p*u - 2 + 0 = o. What is o rounded to one decimal place?
1
Suppose 0 = -u - 4, -n = 83*u - 84*u - 84464. What is n rounded to the nearest ten thousand?
80000
Let w = 1619478 + -517606. Suppose 598853 = 2*q + 1782597. Let n = q + w. Round n to the nearest one hundred thousand.
500000
Let f(o) = 2*o - 63. Let s be f(0). Let x = -27 + s. Round x to the nearest 100.
-100
Suppose 2*z + 0 = -14. Let i(x) = -736*x**2 - 9*x + 1. Let m be i(z). Let o be ((-14500)/6)/((-15)/m). Round o to the nearest 1000000.
-6000000
Suppose 0*b + 49026 = 2*b. Suppose -369913 = -11*r - b. What is r rounded to the nearest 1000?
31000
Let m = 1535 + -1535.002724. Round m to four decimal places.
-0.0027
Let j = -7924504222.67466066 - -7924504721. Let p = j - 520.32534. Let n = 22 + p. Round n to 7 dps.
-0.0000007
Let a = 112.98506 + -113. Round a to 3 decimal places.
-0.015
Let h = -216.378 + 217. Let a = h - 0.6. Let z = 0.084 - a. Round z to two decimal places.
0.06
Let s = 222.833 + -223. Let g = -0.18 - s. Round g to two dps.
-0.01
Let p = 932529551 - 932529618.00000174. Let t = -67 - p. Round t to six dps.
0.000002
Let i = 45305368 - 45298481.1039. Let r = -6888 + i. Let n = -1.1 - r. What is n rounded to three decimal places?
0.004
Suppose 5*g - 3837 = a, -a = 4*g - 0*a - 3075. Suppose g = 11*f - 8*f. What is f rounded to the nearest 10?
260
Suppose 23*d = 27*d + 3*l + 20292003, 2*d = 2*l - 10145998. Round d to the nearest 1000000.
-5000000
Let s(r) = -r + 19. Let q be s(15). Suppose 0 = -2*y + 5*w + 15185, -q*y + 40153 = 5*w + 9738. Round y to the nearest one thousand.
8000
Let v = 205 + -210.96. What is v rounded to the nearest integer?
-6
Let d = 46292 - 46292.034117. Let a = d + 0.034. Round a to five dps.
-0.00012
Let n be 36730/((-1 + 0)*-1). Suppose -3285 = -k + n. Suppose -5*d - 3*o = 2*o - k, -39985 = -5*d + 5*o. What is d rounded to the nearest 1000?
8000
Let q = -3238.11 - -3220. Let v = q + 19.6. Round v to one dp.
1.5
Let s = -5880 - -5880.00004121. Round s to 6 decimal places.
0.000041
Let z be (-5088)/(-2)*(-5)/2. Round z to the nearest 1000.
-6000
Let d = 112.1 - -0.9. Let l = d + -205. Let s = 92.00000053 + l. Round s to 7 decimal places.
0.0000005
Suppose -3 = -2*v + 1. Let j be v + (3
|
{
"pile_set_name": "DM Mathematics"
}
|
t is w(-2)?
76
Let p(t) = 2*t**3 + 27*t**2 - 292*t + 44. Calculate p(7).
9
Let n(u) = -u**3 - 38*u**2 + 3303*u - 2617. Calculate n(41).
7
Let z(d) = -d**3 + 64*d**2 + 51*d + 1217. Calculate z(65).
307
Let z(v) = v**3 + 47*v**2 - 221*v - 15519. Give z(-44).
13
Let k(m) = -m**2 - 321*m - 19151. What is k(-242)?
-33
Let w(m) = 11863*m + 131294. What is w(-11)?
801
Let n(q) = -69*q - 962. What is n(-16)?
142
Let y(k) = -146*k**3 - 1687*k**2 + 779*k - 18. What is y(-12)?
-6
Let g(v) = -v**3 + 24*v**2 + 12*v + 332. Calculate g(25).
7
Let z(w) = -32225*w + 32080. What is z(1)?
-145
Let a(p) = p**3 + 167*p**2 - 5265*p - 5085. Give a(-194).
153
Let o(k) = k**3 + 156*k**2 - 567*k - 14304. Determine o(-159).
6
Let c(w) = -8975*w + 8052. Determine c(1).
-923
Let w(r) = -r**2 - 10159*r + 152608. Determine w(15).
-2
Let x(b) = -b**3 - 273*b**2 - 17055*b - 56695. Determine x(-180).
5
Let g(d) = 2497534*d + 14985222. What is g(-6)?
18
Let h(b) = -b**3 + 53*b**2 - 604*b + 3443. What is h(40)?
83
Let h(c) = -c**3 + 21*c**2 + 196*c - 3134. What is h(22)?
694
Let r(w) = -4*w**3 - 203*w**2 - 87*w - 7143. Calculate r(-51).
-105
Let j(c) = 2*c**2 - 48*c - 45271. Calculate j(163).
43
Let h(n) = 19076*n + 2117441. Calculate h(-111).
5
Let a(c) = -189304*c + 30099332. Calculate a(159).
-4
Let o(j) = -j**2 + 193*j + 4473. Give o(-21).
-21
Let c(x) = 6503*x - 175598. Calculate c(27).
-17
Let f(w) = 7*w**2 - 947*w + 11879. Give f(14).
-7
Let l(q) = q**2 - 153*q + 5302. Give l(98).
-88
Let i(p) = 14230*p + 882083. Calculate i(-62).
-177
Let h(r) = r**3 + 230*r**2 + 512*r - 38170. Determine h(-227).
193
Let c(p) = -273466*p - 6289722. Calculate c(-23).
-4
Let x(j) = -j**2 + 1131*j - 12322. Determine x(11).
-2
Let u(x) = -46*x**2 + 33062*x + 233684. What is u(-7)?
-4
Let k(i) = i**3 + 32*i**2 + 251*i + 1553. Determine k(-25).
-347
Let p(t) = -227*t + 51678. Give p(227).
149
Let w(z) = 937*z - 136218. What is w(145)?
-353
Let m(j) = -j**3 - 142*j**2 - 691*j - 831. Give m(-137).
-9
Let u(y) = y**2 + 1187*y + 352115. Calculate u(-582).
5
Let d(a) = -a**3 - 51*a**2 - 225*a + 30. Calculate d(-46).
-200
Let j(c) = -102*c**2 + 56*c - 40. What is j(-3)?
-1126
Let j(y) = -83*y + 4173. Calculate j(21).
2430
Let x(h) = -2478*h + 128850. Calculate x(52).
-6
Let o(r) = -58714*r - 351607. Determine o(-6).
677
Let w(c) = c**3 + 19*c**2 + 63*c - 5. What is w(-8)?
195
Let n(c) = -268*c - 9409. What is n(-38)?
775
Let s(a) = 12*a**2 + 1128*a - 58170. Calculate s(37).
-6
Let k(v) = -264465*v + 18. Determine k(0).
18
Let u(n) = -309*n + 35442. Give u(117).
-711
Let k(m) = -248*m**2 - 1255*m - 18. Determine k(-5).
57
Let k(n) = 2*n**3 - 181*n**2 + 290*n - 34665. Calculate k(91).
6
Let n(b) = -1241*b**2 - 2495*b - 6. What is n(-2)?
20
Let c(i) = -i**2 + 85*i - 1000. Calculate c(73).
-124
Let v(h) = 62*h + 7832. What is v(-123)?
206
Let c(s) = 81*s - 3332. Calculate c(61).
1609
Let u(w) = 7847*w + 211865. What is u(-27)?
-4
Let c(b) = -b**3 - 484*b**2 + 7998*b - 1003. What is c(-500)?
-3
Let a(m) = 82497*m + 6764743. Give a(-82).
-11
Let y(f) = -3*f**2 + 15591*f + 374. Calculate y(0).
374
Let t(q) = 3*q**3 - 113*q**2 - 531*q - 632. Calculate t(42).
-2
Let y(w) = 2*w**3 + 336*w**2 + 347*w + 2193. What is y(-167)?
22
Let h(y) = -65*y**2 - 942*y - 478. Calculate h(-13).
783
Let i(y) = 246*y**2 + 425*y - 25. Give i(-5).
4000
Let m(o) = 12*o**2 + 20206*o + 140842. What is m(-7)?
-12
Let a(n) = n**3 + 113*n**2 + 10*n - 147. What is a(-113)?
-1277
Let v(z) = z**3 + 122*z**2 + 3311*z - 31. Calculate v(-81).
779
Let r(y) = -19*y**2 + 1651*y + 18397. Give r(-10).
-13
Let p(u) = 19*u**2 + 23*u - 176. Calculate p(-7).
594
Let z(s) = 5289*s + 994356. Determine z(-188).
24
Let m(i) = -1624*i - 9962. What is m(-6)?
-218
Let p(b) = b**2 + 1191*b - 4742. Calculate p(0).
-4742
Let u(i) = 80*i**3 + 95*i**2 + 4*i + 4. Calculate u(-2).
-264
Let r(o) = -795*o - 34942. Determine r(-44).
38
Let r(p) = -6609*p + 185063. Calculate r(28).
11
Let m(z) = -1159*z + 118044. Determine m(100).
2144
Let u(m) = m**3 + 2810*m**2 - 14078*m + 1. Give u(5).
-14
Let g(z) = z**3 + 495*z**2 - 3988*z + 18111. Give g(-503).
3
Let f(v) = -3*v**3 - 255*v**2 + 14*v + 986. Determine f(-85).
-204
Let g(j) = 125*j**2 + 382*j - 119. Calculate g(-3).
-140
Let p(w) = -48*w**3 + 4323*w**2 - 279*w + 816. What is p(90)?
6
Let i(q) = -48*q**3 + 2*q**2 - 179*q + 352. Give i(2).
-382
Let t(s) = -7208*s - 266615. Calculate t(-37).
81
Let t(z) = 1572*z - 492017. Determine t(313).
19
Let s(h) = h**3 - 852*h**2 + 2306*h - 2694616. Determine s(853).
11
Let g(u) = -2*u**2 - 2*u + 5098. Give g(-51).
-2
Let t(n) = 49*n**3 - 107*n**2 + 55*n - 121. Give t(3).
404
Let g(d) = 5364*d - 27140. What is g(5)?
-320
Let x(y) = -243*y - 2602. Determine x(-10).
-172
Let z(t) = -6012*t**2 - 42086*t - 26. Determine z(-7).
-12
Let o(h) = -h**3 - 243*h + 10197. Determine o(18).
-9
Let r(g) = -15194*g - 1230725. What is r(-81)?
-11
Let b(g) = -11565*g + 34701. What is b(3)?
6
Let y(d) = 1565*d + 1195702. Determine y(-764).
42
Let b(u) = -12*u**3 + 82*u**2 - 162*u + 608. Calculate b(6).
-4
Let o(r) = -r**2 - 687*r - 99024. Determine o(-207).
336
Let p(n) = -39668*n - 119007. What is p(-3)?
-3
Let o(z) = -4*z**2 + 209*z - 2456. Calculate o(31).
179
Let p(g) = 10*g**3 + 7*g**2 + 128*g - 442. Give p(3).
275
Let k(q) = -52*q**2 + 2949*q - 4915. What is k(55)?
-20
Let a(r) = r**3 + 128*r**2 + 3470*r - 23. Determine a(-39).
16
Let b(y) = -1547*y - 11061. Calculate b(-9).
2862
Let q(b) = 1922*b + 912935. What is q(-475)?
-15
Let p(y) = -2770*y + 99717. Calculate p(36).
-3
Let i(f) = -f**3 + 42*f**2 - 179*f - 213. Give i(37).
9
Let j(q) = -65*q**2 - 8604*q + 4917. What is j(-133)?
-536
Let c(f) = -46715*f + 9483143. Calculate c(203).
-2
Let d(x) = 1164*x**2 + 2773*x + 2772. Calculate d(-1).
1163
Let g(q) = 1230286*q - 13533149. Calculate g(11).
-3
Let p(i) = 6*i**2 + 3002*i + 17820. Give p(-6).
24
Let c(u) = -157*u - 6910. Determine c(-97).
8319
Let l(y) = -y**3 + 107*y**2 - 2715*y - 153. What is l(65)?
822
Let k(g) = 6*g**3 - 443*g**2 - 54*g - 1646. Calculate k(74).
-166
Let t(g) = -2*g**3 - 22*g**2 - 19*g + 52. Calculate t(-11).
261
Let s(z) = -776*z**2 - 385674*z - 952. Calculate s(-497).
42
Let r(x) = x**3 - 58*x**2 + 511*x + 71. Calculate r(11).
5
Let x(s) = 21974*s + 18963573. Determine x(-863).
11
Let d(k) = 3*k**3 + 1292*k**2 - 429*k + 867. Determine d(-431).
5
Let m(d) = 2109*d - 296978. What is m(141)?
391
Let a(s) = -1706*s - 6855. Determine a(-4).
-31
Let p(h) = 17*h - 178. Calculate p(60).
842
Let i(s) = 25*s**2 - 817*s + 3284. What is i(28)?
8
Let c(q) = 288*q - 31051. What is c(108)?
53
Let h(b) = -b**2 - 233*b - 12234. Give h(-80).
6
Let r(m) = 3*m**3 + 38*m**2 + 221*m + 2307. Determine r(-12).
-57
Let c(r) = -25*r**2 - 769*r + 244. Give c(-32).
-748
Let p(o) = -o**3 - 183*o**2 - 545*o - 918. Determine p(-180).
-18
Let t(j) = -j**2 + j + 667. Determine t(19).
325
Let g(t) = -151115*t - 2417834. What is g(-16)?
6
Let c(g) = -523*g + 118331. Determine c(226).
133
Let o(m) = m**2 - 422*m + 41240. Give o(154).
-32
Let m(o) = -o**3 - 113*o**2 - 131*o - 28132. What is m(-114)?
-202
Let l(r) = 2070*r - 47873. What is l(23)?
-263
Let r(p) = -2*p**3 - 612*p**2 + 5671*p + 22. Give r(9).
31
Let h(a) = -779*a**2 + 1607*a - 20. Calculate h(2).
78
Let h(o) = -o**2 + 2110*o + 115069. Calculate h(-53).
430
Let s(j) = -4*j**3 + 3*j**2 - 12*j + 40. Determine s(3).
-77
Let c(m) = -39*m**2 + 391*m - 706. Give c(7).
120
Let z(o) = 3*o**3 - 24*o**2 + 20*o + 77. Give z(6).
-19
Let w(p) = 616771*p - 3700632. Calculate w(6).
-6
Let i(a) = a**2 - 1371*a + 177619. Give i(145).
-151
Let g(u) = 47*u**2 - 1309*u - 69. What is g(28)?
127
Let o(m) = m**3 - 25*m**2 + 17*m + 506. What is o(23)?
-161
Let d(a) = 6*a**2 + 1422*a - 60833. Give d(37).
-5
Let s(v) = -v**3 - 134*v**2 - 2118*v - 124119. Give s(-125).
6
Let z(s) = -8*s**2 - 12892*s + 182101. Give z(14).
45
Let k(w) = 15542*w + 714918. Give k(-46).
-14
Let k(a) = -2*a**2 - 73*a - 241. Give k(-6).
125
Let r(i) = i**3 + 41*i**2 + 390*i + 1. Determine r(-24).
433
Let q(y) = -12981*y + 38996. Calculate q(3).
53
Let g(x) = 30*x**2 + 501*x - 75. Give g(-17).
78
Let c(f) = 1453*f - 193230. Determine c(133).
19
Let g(n) = -n**3 - 63*n**2 - 157*n - 316.
|
{
"pile_set_name": "DM Mathematics"
}
|
6?
False
Let t be -5*(-6)/(-45)*-21. Is (7/t)/((-2)/(-40)) a multiple of 2?
True
Let t = 526 + -424. Is 102 a factor of t?
True
Let s(v) = -v - 4. Let x be s(-2). Let y be (-1 - x) + (12 - 2). Suppose -9 = -l + y. Is 10 a factor of l?
True
Let b = -2 - -358. Does 4 divide b?
True
Let k(q) = -8 + 5 - 2*q - 4 + 27*q. Is 24 a factor of k(3)?
False
Suppose 258 = 14*u + 62. Let g(m) be the first derivative of m**2 - 10*m - 1. Is 18 a factor of g(u)?
True
Suppose y = 5*g + 19, 3*y - 8*y = 2*g + 13. Let j be (y/2)/((-2)/8). Is 2 a factor of ((-3)/j)/(9/(-12))?
True
Let a be -4 + (-14)/(-6)*3. Suppose 5*j = -4*y + 7 + 71, -a*j = 2*y - 38. Is y a multiple of 6?
False
Is (18 - 5)/(3/27) a multiple of 4?
False
Suppose -68*b + 243097 + 43251 = 0. Is 108 a factor of b?
False
Let u = -279 + 455. Suppose 618 = 3*p + 2*a + u, 5*p + 5*a - 745 = 0. Does 9 divide p?
True
Let c = -12 - -15. Suppose -c*o = -3*t + 15, 0 = -3*t - 2*o + o + 3. Suppose -16 = -t*j - 10. Is j a multiple of 3?
True
Let p(d) be the second derivative of -d**3/3 - d**2 - 23*d. Let k(t) = -t**3 + 4*t**2 - 3*t + 3. Let c be k(4). Is p(c) a multiple of 3?
False
Suppose -q = 5*i - 2, 0*q - 4*i = -4*q - 16. Let s(p) = -48*p - 6. Does 23 divide s(q)?
True
Let w = 482 - -260. Is 26 a factor of w?
False
Let c(l) = l - 20. Let h be c(0). Let i = h + 17. Is 7 a factor of (-7)/(-4)*(i + 15)?
True
Let d be (-2)/((-2)/(-3))*(-2)/(-3). Is 16 a factor of d/(-6) - 1434/(-18)?
True
Suppose 85*a = 83*a + 3168. Does 88 divide a?
True
Let c be 670/(0 + 2 + 0). Suppose -3*z = 3*p - 231, -p - 4*p + c = -5*z. Is 18 a factor of p?
True
Does 13 divide (-14)/(-42) + (-3)/9*-791?
False
Let h be 6/15 - 134/10. Does 38 divide (-130)/h*(-34)/(-4)?
False
Suppose 4*b - 7*b = 105. Let h = 75 + b. Suppose 15 = c + 2*g, -5*c + h = -c - 2*g. Does 11 divide c?
True
Let s(u) = -5 + 6 - 3 - 11*u**3 + u**2 + 1. Let j be s(-1). Suppose -15*h + j*h = -48. Is 12 a factor of h?
True
Let u be 0 + (48 + 2)/2. Let w = -9 + 12. Suppose 2*h - 20 = h + w*c, -4*c = -h + u. Is h a multiple of 4?
False
Let h(v) = 223*v**2 + 10*v - 20. Is h(2) a multiple of 13?
False
Suppose -4*q - 8 = 0, 2*b = 2*q - 4*q. Let u = 6 - b. Suppose -3*x + u*x = 13. Is 13 a factor of x?
True
Let k(a) be the second derivative of 0 + 5/3*a**3 - 1/20*a**5 - 5*a**2 + 2/3*a**4 + 12*a. Is 10 a factor of k(8)?
True
Suppose 2*w = -5*p + 8752, 5*p + 4*w = 6730 + 2014. Is p a multiple of 8?
True
Let y be (-4)/(-34) - (-967)/17. Suppose -132 = y*z - 59*z. Is z a multiple of 22?
True
Let x = 93 - 96. Does 3 divide (-2)/x - 400/(-12)?
False
Suppose 0 = 44*n - 51*n + 49. Does 7 divide n?
True
Suppose 420 = -2*a + 3*a. Let s(p) = 6*p**3 + p**2 + 2*p - 2. Let l be s(1). Suppose -a = -l*v + 2*v. Does 19 divide v?
False
Suppose -n - 6 = 2*n + 3*c, -4*c - 14 = 2*n. Suppose -5*u - 20 = -3*l, 3*u = l - n*l + 26. Is l a multiple of 5?
True
Suppose -c + 2 = 0, 4*l + 2*c - 24 = -2*c. Suppose 0 = l*g - 147 - 273. Is g a multiple of 22?
False
Let z(g) = -64*g**2 + 135*g**2 + 10 - 69*g**2 + 16*g. Is 20 a factor of z(-15)?
True
Let i = 28 + -28. Suppose 5*w - u = 19, i = -5*w - 0*u - 3*u + 3. Suppose -w*v = 4*h + h - 134, -v = h - 26. Is 14 a factor of h?
True
Let y(s) = -s**3 - 8*s**2 + 18*s - 18. Let d be y(-10). Is (d/(-3) - 2954/(-21)) + 3 a multiple of 29?
False
Let f(r) = -r**3 + r**2 + 2*r + 105. Let t be f(0). Suppose -4*x + x + t = 0. Is 22 a factor of x?
False
Let w(a) = -4*a - 2. Let d be w(-2). Let r(y) = -y**3 + 6*y**2 + 4*y - 6. Let x be r(d). Suppose j = -x + 52. Is j a multiple of 17?
True
Suppose 4950 = 33*w - 0*w. Does 15 divide w?
True
Let f(d) = -50*d + 2. Let b be f(-2). Suppose 2*g = -2*v + 192, 0 = -v + 2*g - 0 + b. Is v a multiple of 14?
True
Let q(s) = s**3 + 29*s**2 - 6*s + 67. Is 19 a factor of q(-29)?
False
Let u be 18/4*(-22)/33. Let o be -1*(-2 - -2)/u. Suppose p + 2*p - 18 = o. Is 2 a factor of p?
True
Let x be ((-7)/14)/((-1)/28). Suppose -3*g - x = -0*g - 4*a, 3*a = 5*g + 5. Suppose -84 = -5*w + g*w. Is w a multiple of 9?
False
Let y(d) = -d**3 - 16*d**2 + 16*d + 47. Is 64 a factor of y(-17)?
True
Let n(r) = -16*r**3 + r**2 + 4*r + 3. Let i be n(-1). Let a(y) = -i*y + 14 - 2*y - 2*y**2 - 3 + y**2. Is a(-16) a multiple of 9?
False
Suppose -a + 2 = -2. Let t be a + (0 + 89)*-1. Let v = t + 177. Does 31 divide v?
False
Suppose 0 = -2*d - 2*d + 20. Let n(r) = -r - 8. Let s be n(-11). Suppose s*f + 32 = d*f. Is 8 a factor of f?
True
Let t(b) = 68*b**2 - 21*b - 45. Let s be t(-15). Is (-2)/18 - s/(-162) a multiple of 4?
True
Suppose 0 = -7*d + 3*d + c + 3, -3*d - c + 11 = 0. Is 24 a factor of (-1)/(-2) - (-267)/d?
False
Let x(v) = 14*v**2 + v - 6. Let y(l) = -14*l**2 - l + 7. Let q(z) = -5*x(z) - 4*y(z). Let d be q(2). Let t = 116 + d. Does 13 divide t?
False
Suppose 31*j - 29*j = 396. Is j a multiple of 33?
True
Suppose -2*y = -8*y - 288. Let g = y + 104. Is 14 a factor of g?
True
Let f be (-896)/(-10) + 2/5. Is (-3)/(-5) + 6/f*3021 a multiple of 26?
False
Suppose 5794 + 18713 = 7*w. Is w a multiple of 148?
False
Let w(v) = 3*v**3 + v**2 + 2. Suppose -p + 208 = 2*t, 4*t = -0*p - p + 412. Let l be t/42 - (-6)/(-14). Does 12 divide w(l)?
False
Suppose -14 = -0*w - 7*w. Let y(t) = 15*t. Let i be y(w). Suppose 0 = -3*f + l + i, -3*f + 4 = -3*l - 26. Is f a multiple of 5?
True
Let k(q) be the first derivative of q**5/30 - 5*q**4/24 + q**3/2 + 6*q**2 + 10. Let h(s) be the second derivative of k(s). Is h(7) a multiple of 11?
True
Suppose -t + 5 = g + 2, g + 5*t = 7. Suppose -g*o + 21 = -35. Is o a multiple of 6?
False
Let x(w) = -w**3 - 6*w**2 + 11*w - 4. Let a be x(-8). Suppose p - a = -2*p. Let d = 45 + p. Is d a multiple of 19?
True
Let r(k) = -k**3 + 13*k**2 + 15*k - 11. Let c be r(14). Suppose -c*d + 2*l + 236 = 0, -5*l = -3*d + 123 + 107. Is d a multiple of 40?
True
Suppose 3*b + 4*i - 25 = 0, 0*b - 35 = -3*b + i. Let l = -22 + b. Let j(d) = d**2 + 8*d - 25. Is 4 a factor of j(l)?
True
Suppose -d + 28 = 3*d. Let b = d + 33. Does 5 divide b?
True
Suppose -2*a + 6 = a. Suppose -3*y + 5*y - 10 = 2*w, 0 = -4*y + 20. Suppose -v - 4*c + 5*c + 5 = w, c + 11 = a*v. Is v a multiple of 3?
True
Let h be 6/(-4)*(-16)/(-8). Let y be 4 - 14 - h/3. Let n(u) = -u**2 - 9*u + 13. Is n(y) a multiple of 13?
True
Let m = 756 - 462. Is m a multiple of 18?
False
Let b(o) = -13*o**3 + o**2 + 3*o + 5. Let p(g) = g**2 + 7*g + 8. Let u be p(-5). Is 22 a factor of b(u)?
False
Suppose 0 = -l - 0*l - 2*f + 1098, 0 = -2*f. Is 9 a factor of l?
True
Suppose 42*o + 1632 = 46*o. Is 34 a factor of o?
True
Let x be (3 - 6*-3) + -1. Suppose 0 = -2*b + x + 32. Suppose -19 = -2*n + 5*u, -n + 5*u = 2*n - b. Does 3 divide n?
False
Let y be (-3)/(5 - 2) - -5. Suppose 2 = y*g - 14. Suppose -5*l = -2*o + 19 + 59, -3*o - g*l = -94. Is 17 a factor of o?
True
Let o(b) = -1 - 4*b + 9*b - 2. Let i = -40 + 45. Does 5 divide o(i)?
False
Let b(s) = s - 2. Let d be b(4). Let a = d - -50. Is 14 a factor of a?
False
Suppose 3*m = a - 2, -2*a - 3*a - 3*m + 10 = 0. Suppose g + a*r + 16 = 2*g, 0 = g + 4*r + 14. Does 3 divide g?
True
Suppose 5*b - 2*k + 13 = 0, k - 9 + 0 = 5*b. Let n be (-4)/b - (1 - 2). Suppose 105 = -n*p + 445. Does 19 divide p?
False
Suppose 0 = 12*g - 13*g. Suppose -4*h - 2*a + 406 = g, 2*a + 512 = h + 4*h. Is h a multiple of 34?
True
Suppose 3521 + 1295 = 8*k. Does 33 divide k?
False
Is -85*(0 - 1) + -8 a multiple of 2?
False
Let g(b) be the second derivative of -b**5/4 - b**4/4 - 2*b**3/3 - 3*b**2/2 + 4*b. Let q be g(-2). Let t = 85 - q. Does 26 divide t?
True
Suppose 191 = -2*x + 271. Let v = 1004 - 588. Is 4 a factor of (v/x)/(4/10)?
False
Suppose -156*o - 390 = -158*o. Is 3 a factor of o?
True
Is (5/(60/(-2456)))/((-18)/27) a multiple of 36?
False
Let c(g) = g**2 - g - 18. Let y be c(0). Let f = y + 17. Is (f/(-3))/((-8)/(-96)) a multiple of 3?
False
Let f = 17 - 12. Suppose -2 + 7 = j, 0 = 4*w + j - f. Suppose 21 - 6 = 5*x + 5*a, w = -5*x + 3*a + 7. Does 2 divide x?
True
Suppose -3*f - 5*c = f - 21, 3*f + 2*c - 14 = 0. Suppose g = -0*g - 3*m + 13, 0 = -m - f. Does 5 divide g?
True
Let p(d) = -d**3 + 25*d**2 - 45*d + 22. Is 2 a factor of p(23)?
False
Is (-5 - -317) + -1 + -5 a multiple of 9?
True
Let y(c) = -2*c + 1 - 6*c**2 + 3*c + 6*c**3 - 5*c**3 + 4*c. Let p be y(5). Let g(m) = 32*m**2 + m -
|
{
"pile_set_name": "DM Mathematics"
}
|
ms in 12*f + 16*f + 17*f - 13*f.
32*f
Collect the terms in 30*d + 7 + 7 - 15 + 2.
30*d + 1
Collect the terms in -2 + 2 + 12*g**2 + 0.
12*g**2
Collect the terms in -m**3 + 5 + 7 - 16 + 4.
-m**3
Collect the terms in -11*w**2 - 8*w**2 + 22*w**2 - 18*w**2.
-15*w**2
Collect the terms in 5*w + 3*w - 3*w - 4*w.
w
Collect the terms in -17*v + 34*v - 12*v.
5*v
Collect the terms in 0*n**3 + 5*n**3 - 8*n**3.
-3*n**3
Collect the terms in 0*f - 388*f**2 + 0*f.
-388*f**2
Collect the terms in -9*d**2 - 4*d**2 - 7*d**2 + 19*d**2.
-d**2
Collect the terms in 7*o + 16*o + 9*o**2 - 23*o.
9*o**2
Collect the terms in 6*z**3 - 7*z + 7*z + 7*z**3.
13*z**3
Collect the terms in -6*i**2 - i**2 - 2*i**2 + 4*i**2.
-5*i**2
Collect the terms in 5*g + 11*g - 8*g - 9*g + 3*g.
2*g
Collect the terms in 340 - 340 + 14*s**2.
14*s**2
Collect the terms in 235*o**2 - 26*o**2 - 117*o**2 + 400*o**2.
492*o**2
Collect the terms in -115 + 57 - 87*q**2 + 58.
-87*q**2
Collect the terms in 0*c - 4692959 + 4692959 + 0*c - c**3.
-c**3
Collect the terms in 6 - 4 + 58*y**2 - 2.
58*y**2
Collect the terms in 9*g**2 - 26*g**2 + 9*g**2 + 3*g**2 + 2*g**2.
-3*g**2
Collect the terms in t + 4*t**2 - 5*t - 5*t - t.
4*t**2 - 10*t
Collect the terms in -4*w**3 - w**3 - w**3 + 3*w**3.
-3*w**3
Collect the terms in 28 - 3*u + 26 + 23 - 77.
-3*u
Collect the terms in -83*h**2 + 27*h**2 + 28*h**2 + 27*h**2.
-h**2
Collect the terms in 1592 - 4765 + 4*u + 1588 + 1585.
4*u
Collect the terms in 205*t - 41*t + 169*t.
333*t
Collect the terms in -398*g + 20*g**2 + 398*g + 4*g**2.
24*g**2
Collect the terms in -16*z - 20*z + 25*z.
-11*z
Collect the terms in -32*c**3 + 34*c**3 + 156 - 156.
2*c**3
Collect the terms in 7*d - 23*d + 7*d**3 + 16*d.
7*d**3
Collect the terms in 5743576 + 5*j - 5743576.
5*j
Collect the terms in -87*c**2 + 5 + 1 - 73*c**2.
-160*c**2 + 6
Collect the terms in 4*d**2 + 2*d**2 + 2*d**2 - 7*d**2.
d**2
Collect the terms in -29*u**2 - 44*u**2 - 23*u**2 + 0*u**2.
-96*u**2
Collect the terms in 23*h**2 + 0*h + 0*h + 2.
23*h**2 + 2
Collect the terms in -3*o - 27*o**2 + 3*o + 121*o**2.
94*o**2
Collect the terms in 4*p - 8*p + 3*p + 5*p.
4*p
Collect the terms in 4*h - h + 649 - 649.
3*h
Collect the terms in -10*l**2 + 0*l**2 - 10*l**2 + 0*l**2.
-20*l**2
Collect the terms in -5*p + 12*p - 2*p.
5*p
Collect the terms in 14*o**2 - 14*o**2 + 6*o**3 - 47*o**3.
-41*o**3
Collect the terms in -13*g**2 + 11*g**2 - 3*g**2 - 23*g**2.
-28*g**2
Collect the terms in 266*q**3 - 5*q**2 + 5*q**2 - 268*q**3.
-2*q**3
Collect the terms in 319356*c + c**2 - 319356*c.
c**2
Collect the terms in -14*q**2 - 3*q**2 + 1 - 1.
-17*q**2
Collect the terms in -3*s**2 + 6*s**2 + 12 + 0*s**2.
3*s**2 + 12
Collect the terms in -5 + 6*u**3 - 1 + 4*u**3 - 6*u**3.
4*u**3 - 6
Collect the terms in 1 + 28*u - 4 + 6*u + 1.
34*u - 2
Collect the terms in 6*f**3 - 166 - 10*f**3 + 332 - 166.
-4*f**3
Collect the terms in 44*f**3 + 4*f**2 - f**2 - 3*f**2.
44*f**3
Collect the terms in 6124*b - 12241*b + 6118*b.
b
Collect the terms in -106*k**2 - 49*k**2 + 5*k**2 - 19*k**2.
-169*k**2
Collect the terms in 28599 + 7*o**3 - 28599.
7*o**3
Collect the terms in -9*o**2 + 21*o**2 - 41*o**2.
-29*o**2
Collect the terms in -24*z**2 - 17*z**2 + 22*z**2.
-19*z**2
Collect the terms in 1159 + 27*d - 1159.
27*d
Collect the terms in a**2 + a**2 - 28 - a**2.
a**2 - 28
Collect the terms in k**2 - k**2 + 5*k**3 + 0*k**2.
5*k**3
Collect the terms in 39413 - 39413 + 8*o.
8*o
Collect the terms in 13*d - 6*d - 3*d - 2*d.
2*d
Collect the terms in 12 + 2*n - 7*n - 12.
-5*n
Collect the terms in -3 + 4*w - 5 + 8.
4*w
Collect the terms in -8*o**3 + o**3 + 0*o**3.
-7*o**3
Collect the terms in -44*d**2 + d + 0*d - d.
-44*d**2
Collect the terms in 52617 + 2*j**2 - 52617.
2*j**2
Collect the terms in -172243*o + 172243*o - o**2.
-o**2
Collect the terms in 4*i - 4*i + 2*i**2.
2*i**2
Collect the terms in -73947*l - 5*l**3 + 73947*l + l**3.
-4*l**3
Collect the terms in 23*f**2 - 20 + 20.
23*f**2
Collect the terms in 4*g**3 - 2*g**2 - 9*g**3 + g**2.
-5*g**3 - g**2
Collect the terms in 1834*w - 915*w - 912*w.
7*w
Collect the terms in 27*f**3 + 24*f**3 + 2*f**3 - 9*f**3.
44*f**3
Collect the terms in -391*c + 391*c - 7*c**3.
-7*c**3
Collect the terms in 2*v - 70 - 63 + 133.
2*v
Collect the terms in -58*g + 21*g - 82*g.
-119*g
Collect the terms in -24341 - w + 24341.
-w
Collect the terms in -4*g**3 - 21*g**2 + 3*g**3 + 0*g**3.
-g**3 - 21*g**2
Collect the terms in o**2 - 5*o**2 + 25*o**3 + 17*o**3.
42*o**3 - 4*o**2
Collect the terms in 5*x**2 - 5*x**2 - 174*x**3.
-174*x**3
Collect the terms in -3*y - 23*y**3 + 3*y.
-23*y**3
Collect the terms in -3*d + 5*d - d + d + d.
3*d
Collect the terms in 458*m - 7*m**3 - 458*m.
-7*m**3
Collect the terms in 632*b**2 - 2*b + 1 - 1 - 120*b**2.
512*b**2 - 2*b
Collect the terms in -6*y**3 + 7*y**3 + y**3.
2*y**3
Collect the terms in 983*c**3 + c**2 - c**2 + 609*c**3.
1592*c**3
Collect the terms in -2*q**3 + 3*q**3 + 0*q**3 + q**3.
2*q**3
Collect the terms in -110 + 0*k + 110 + 7*k.
7*k
Collect the terms in -78*a - 65*a + 151*a.
8*a
Collect the terms in -z - z + 8*z - z.
5*z
Collect the terms in 20*q**2 + q - q - 29*q**2.
-9*q**2
Collect the terms in 10*g**3 + 6*g**3 - 13*g**3 - g**3.
2*g**3
Collect the terms in 7*x**3 - 7*x**3 - 11*x**3.
-11*x**3
Collect the terms in -21*z**3 + 34*z**3 + 34*z**3.
47*z**3
Collect the terms in 10*b**2 - b**2 - 4*b**2 - 6*b**2.
-b**2
Collect the terms in -a - 65077 + 65077.
-a
Collect the terms in 2*w - 18*w + w + 6*w + 2*w.
-7*w
Collect the terms in -6*t + 6*t - 73*t**2 + 75*t**2.
2*t**2
Collect the terms in 1 - 1 - 16*a**2 + 10*a**2.
-6*a**2
Collect the terms in -2*p**3 + 11*p**3 - p**3 - 11*p**3.
-3*p**3
Collect the terms in 96 - 96 + 2*f.
2*f
Collect the terms in 3*f**3 - 173*f + 173*f.
3*f**3
Collect the terms in -2*t**3 + 2*t**3 + 13*t**3.
13*t**3
Collect the terms in -g**3 - 6*g**3 - 2*g**3 - g**3.
-10*g**3
Collect the terms in -648*i**3 + 327*i**3 + 322*i**3.
i**3
Collect the terms in 6*a - 5*a**2 - 1 + 17*a**2 + 1.
12*a**2 + 6*a
Collect the terms in o**2 + 5*o**2 + 0*o**2 + 0*o**2.
6*o**2
Collect the terms in t**3 + 697*t**2 + 697*t**2 - 1394*t**2.
t**3
Collect the terms in -94*d**2 - 100*d**2 + 189*d**2.
-5*d**2
Collect the terms in -15*r + 19*r - 18*r.
-14*r
Collect the terms in 904*x - 452*x - 451*x.
x
Collect the terms in 104*g**3 + 29*g**3 + 14*g**3.
147*g**3
Collect the terms in -8*c**2 + 2*c**2 - c**2 + 0*c**2.
-7*c**2
Collect the terms in -x + 4*x + 0*x - 10 - 4*x.
-x - 10
Collect the terms in 5 + 29*z**2 - 6*z**2 - 1 + 2.
23*z**2 + 6
Collect the terms in 20*k**2 + 11*k**2 - 8*k**2.
23*k**2
Collect the terms in l**2 - 43 - 59 + 102.
l**2
Collect the terms in -49*b + 10*b + 28*b + 9*b + 4*b.
2*b
Collect the terms in 3*y**2 + y**2 - 2*y**2 - y**2.
y**2
Collect the terms in -9*g - 2*g**3 + 3*g**3 + 0*g + 9*g.
g**3
Collect the terms in -7*n + 2*n + n**2 + 5*n + 0*n.
n**2
Collect the terms in -122*x**2 + 232*x**2 - 74*x**2 + 286*x**2.
322*x**2
Collect the terms in -5*a**3 - a**3 - 15*a**3.
-21*a**3
Collect the terms in 5387*v**2 - 5387*v**2 + v**3.
v**3
Collect the terms in 11*k**3 + 8*k**3 - 65*k**3 + 14*k**3 + 20*k**3.
-12*k**3
Collect the terms in 2268*p - 7*p**2 - 2268*p.
-7*p**2
Collect the terms in -366*q**3 + 958*q**3 + 681*q**3.
1273*q**3
Collect the terms in -12567*f + 12567*f - 20*f**3.
-20*f**3
Collect the terms in 70*g**3 + 80*g**3 - 152*g**3.
-2*g**3
Collect the terms in -4*l**2 + 4*l**2 + 0*l**2 + 186*l**3.
186*l**3
Collect the terms in -28*h + 3*h + 7*h - h.
-19*h
Collect the terms in -214*v**2 - 14 + 14.
-214*v**2
Collect the terms in 4*d + 18*d - 9*d.
13*d
Collect the terms in -626*x - 4*x**2 + 626*x.
-4*x**2
Collect the terms in 9*g**2 - g**2 + 4*g**2 - g**2.
11*g**2
Collect the terms in 3*t + 3*t - 9*t.
-3*t
Collect the terms in -3217 + 3217 - 3*u**3.
-3*u**3
Collect the terms in -6 + 6 + 9*w - 8*w.
w
Collect the terms in 18 - 18 + 2*w + 24*w.
26*w
Collect the terms in 5*o**3 + 7*o**3 - 11*o**3.
o**3
Collect the terms in -m**3 + 843*m**2 - 1687*m**2 + 844*m**2.
-m**3
Collect the terms in 4*z**3 - 71*z + 71*z + 2*z**2.
4*z**3 + 2*z**2
Collect the terms in 2*p**2 - 9*p**2 + 104*p + 2*p**2.
-5*p**2 + 104*p
Collect the terms in -978*f**3 - 970*f**3 + 1940*f**3.
-8*f**3
Collect the terms in 10*a**2 + 16*a**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1323*r**2*z - 498*z wrt j?
1321841442*r**2 - 2*r*z
Differentiate -31808852*k**2 - 2*k + 83444338 wrt k.
-63617704*k - 2
What is the second derivative of -47345070*t**3 - 1839738*t wrt t?
-284070420*t
What is the first derivative of -189236035*d**3 + 164371540 wrt d?
-567708105*d**2
Find the second derivative of 394*d**2*x**2 + 46*d**2 - 2*d*x**3 - 673626*d*x**2 - 7052626*x wrt x.
788*d**2 - 12*d*x - 1347252*d
Differentiate 9024500*r**3 + 14684414 with respect to r.
27073500*r**2
Find the second derivative of 10270592*o**3 + o**2 - 46*o + 99252 wrt o.
61623552*o + 2
What is the second derivative of 2*j**2*u - 16022093*j**2 - 35*j - 124047*u wrt j?
4*u - 32044186
What is the derivative of 694589565*x**2 - 1056641221?
1389179130*x
Find the third derivative of 168544543*h**3 - 253087699*h**2.
1011267258
Find the third derivative of 5581*g**4 - 26018*g**3 + 864528924*g**2.
133944*g - 156108
What is the third derivative of b*g**3 + 155*b*g**2*q + 8*b*g + b + 2406329*g**5 - 2*g**4*q - 78*g*q - 3 wrt g?
6*b + 144379740*g**2 - 48*g*q
Differentiate 16956982*l*r - 3*l - 76222625*r wrt l.
16956982*r - 3
What is the second derivative of -72*j**4 + 97*j**3 + 5676*j**2 + 404724474*j?
-864*j**2 + 582*j + 11352
Find the first derivative of -74*b**4 + b**3 - 177639*b**2 + 170168412 wrt b.
-296*b**3 + 3*b**2 - 355278*b
What is the third derivative of 247450663*d**4 + 111*d**2 - d - 7123 wrt d?
5938815912*d
Differentiate 235*a*q**2 + 2*a*q - a - 5*q**3 + 1411*q + 109877 with respect to q.
470*a*q + 2*a - 15*q**2 + 1411
What is the third derivative of -54316585*r**3 - 28*r**2 + 168690*r - 2 wrt r?
-325899510
Find the third derivative of 1233*w**6 - 587563*w**5 - 16566*w**2 + 5*w + 432.
147960*w**3 - 35253780*w**2
What is the second derivative of -21*x**5 - 23643*x**3 + x**2 + 39*x - 15855?
-420*x**3 - 141858*x + 2
Find the second derivative of 143484*v**4 + 27*v**3 + 3*v**2 + 67495110*v wrt v.
1721808*v**2 + 162*v + 6
Find the first derivative of -548307407*q - 1533428102 wrt q.
-548307407
What is the second derivative of 149422*c**2*g**2 + 2*c**2*g*i - 8*c*g**2 - c*g*i - 5*c*i - 30*c + 2*g**2 - 3*g*i wrt c?
298844*g**2 + 4*g*i
Find the third derivative of -32170015*p**5 - 14152*p**2 + p - 47.
-1930200900*p**2
What is the first derivative of 149569*n**2*x + 4*n**2 + 3783*n + 30*x - 27 wrt x?
149569*n**2 + 30
Find the third derivative of -5498192*h**3 - 75*h**2 + 3869*h.
-32989152
What is the derivative of -313913125*l**2 - l + 385832240 wrt l?
-627826250*l - 1
Find the second derivative of -44552785*m**3 - 3*m**2 + 3125*m - 11122.
-267316710*m - 6
Differentiate 6601631*d**2 - 5530065 with respect to d.
13203262*d
Find the third derivative of -3151*x**6 - 2932*x**5 + 10929*x**2 + 66*x wrt x.
-378120*x**3 - 175920*x**2
What is the second derivative of -228040981*s**4 - 141580742*s?
-2736491772*s**2
What is the second derivative of -3*z**5 - 470108*z**3 + 126*z + 2064 wrt z?
-60*z**3 - 2820648*z
What is the third derivative of -120073428*d**3*t**2 + 4*d**2*t**2 + 33396*d + 2*t**2 + 28*t + 2 wrt d?
-720440568*t**2
Find the second derivative of -23*p**2*u**2 - 3166*p**2*u - 2*p**2 + 2*p*u**2 - 17*p*u + 70*p - 555*u**2 wrt p.
-46*u**2 - 6332*u - 4
Differentiate -48061903*g**4 - 5*g**3 - 918641476 wrt g.
-192247612*g**3 - 15*g**2
What is the derivative of 63546388*o**2 - 60292686?
127092776*o
What is the third derivative of -667375467*i**6 + 643042930*i**2 wrt i?
-80085056040*i**3
Differentiate -2*k*p**2 + 3399*k*p - 2*k - 1957*p - 321377328 wrt p.
-4*k*p + 3399*k - 1957
What is the third derivative of -339097809*w**4 + 4*w**2 - 951892*w + 4?
-8138347416*w
Find the second derivative of -97000811*v**2 - 27564298*v.
-194001622
Find the first derivative of f**2 + 78728303*f + 105038059.
2*f + 78728303
Find the third derivative of -2606*h**2*q**3 + 6209329*h**2 - 236*h*q**3 + 66*h*q**2 + 59*q**3 wrt q.
-15636*h**2 - 1416*h + 354
Find the second derivative of -37629124*z**2 + 5805*z - 82.
-75258248
What is the second derivative of -2187*g*o**2*r**2 + 2111*g*o*r**2 + 225*g*r**2 - 2688*o**3*r wrt o?
-4374*g*r**2 - 16128*o*r
Find the first derivative of 144009298*a**3 - 42692033.
432027894*a**2
What is the second derivative of -18021487*l*w**4 + 16*l*w - 57*l - 4*w**4 + 4*w + 1529 wrt w?
-216257844*l*w**2 - 48*w**2
Find the first derivative of -141118487*b**2*g**2 - 402430*g**2 - 39 wrt b.
-282236974*b*g**2
What is the second derivative of -12194956*u**2 - 116700080*u wrt u?
-24389912
Find the third derivative of 126650669*d**3*w + d**2*w + d**2 - 3879*d*w + 130*d - 2*w wrt d.
759904014*w
Differentiate 21887328*a*c*n**3*x + a*c*n + 416*a*n**3*x + a*n**3 - a*n + n**3*x + 326*n**3 + 3*n wrt c.
21887328*a*n**3*x + a*n
What is the second derivative of -d**3 - 1471361*d**2 - 38786029*d?
-6*d - 2942722
Differentiate 15142832*u**4 + 3*u**3 - 190600180 wrt u.
60571328*u**3 + 9*u**2
Differentiate 19605245*k**3 - 5*k**2 + 248615321 wrt k.
58815735*k**2 - 10*k
What is the third derivative of -4*f**3*k**4*l - 43516*f**3*k**2 + 5*f**3*k*l + f**2*k**2 - 143465*k**4 wrt k?
-96*f**3*k*l - 3443160*k
What is the third derivative of 18038160*t**4 - 3*t**2 - 693989*t + 1?
432915840*t
Find the first derivative of 24845390*a*q - 24159397*a wrt q.
24845390*a
Find the first derivative of 34085311*a + 29002949.
34085311
Differentiate 2165731*g*i - 5*g - 4941915 with respect to i.
2165731*g
Find the third derivative of -137152809*h**5 + 322824103*h**2 - 2 wrt h.
-8229168540*h**2
What is the third derivative of 57807774*i**2*l**5 + 2*i**2*l + i**2 + i + 16*l**2 + 8*l - 99 wrt l?
3468466440*i**2*l**2
Find the first derivative of 66341977*a**4 - 40893213 wrt a.
265367908*a**3
Find the third derivative of 2*a**3*s**3*u - 155248889*a**3*s**3 - a**3*s**2 + 96*a**3*u - a**2*s + 9*a**2*u + 4*s**2*u - 2*s*u + 10 wrt s.
12*a**3*u - 931493334*a**3
Find the third derivative of 93348*p**4 + 42*p**3 + p**2 - p + 1386644 wrt p.
2240352*p + 252
What is the derivative of 511*v**2 + 13265*v + 156408931 wrt v?
1022*v + 13265
What is the second derivative of -4*c**3 + 1193221*c**2 - 161458*c - 839?
-24*c + 2386442
What is the first derivative of -585350*d**2 - 438*d - 187050524?
-1170700*d - 438
What is the second derivative of -2336058*h**2 - 12532267*h wrt h?
-4672116
What is the third derivative of -45*z**4 + 17198*z**3 - 5*z**2 + 2*z + 968812?
-1080*z + 103188
Find the third derivative of -6634474*t**4*x + 22*t**3*x - 4*t**2 - 8986*t*x + 63 wrt t.
-159227376*t*x + 132*x
What is the third derivative of -8*p**6 - 67410796*p**5 + 79765*p**2 + 1280*p wrt p?
-960*p**3 - 4044647760*p**2
Differentiate 85413424*z**2 + 176153062 wrt z.
170826848*z
Find the third derivative of -326*g**5 + 4*g**4 + 10965*g**3 - 480158808*g**2 + 2*g.
-19560*g**2 + 96*g + 65790
What is the second derivative of -6832843*s**2 - 6152113*s wrt s?
-13665686
Find the second derivative of -166*c**2*g**3*n + c**2*g + 2*c**2*n + 360027*c*g**2*n - 784088*c wrt g.
-996*c**2*g*n + 720054*c*n
What is the second derivative of w**3 + 2056827*w**2 - 4924*w wrt w?
6*w + 4113654
Find the first derivative of 416160*a*k**2 - 18*a*u**2 - 27609*a*u + a + 14*k*u**2 + 2*u**2 - 2 wrt k.
832320*a*k + 14*u**2
Find the second derivative of 461563679*j**3 - 256202519*j.
2769382074*j
What is the third derivative of 2*c**5 + 34739*c**4 + 188*c**3 + 94262676*c**2 wrt c?
120*c**2 + 833736*c + 1128
Find the second derivative of 5*p**3 + 86387*p**2 + 83505248*p.
30*p + 172774
What is the third derivative of 324445536*c**4 - 23708444*c**2 + 7?
7786692864*c
Find the second derivative of -f**2*x**2 - 9605412*f**2*x + 56757*f*x**2 - 27*x**4 wrt x.
-2*f**2 + 113514*f - 324*x**2
What is the second derivative of -2*g**4 - 3387167*g**3 - 4069840*g?
-24*g**2 - 20323002*g
Find the second derivative of 66443278*v*w**2 + 6*v*w - 82*v - w**3 + 2*w**2 - 3*w - 5216 wrt w.
132886556*v - 6*w + 4
What is the derivative of -528527*w**2 - 138*w + 112280908 wrt w?
-1057054*w - 138
What is the third derivative of 67721524*v**4 + 2214190*v**2 - 5*v - 4 wrt v?
1625316576*v
What is the third derivative of 42960182*w**6 + 4*w**2 + 395323*w - 9 wrt w?
5155221840*w**3
Find the third derivative of 33656098*q**3*v**3 + 17*q**2*v**3 - 2*q**2*v**2 + q*v**3 + 4*q*v - 685*v**2 wrt q.
201936588*v**3
Differenti
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Express (-46*c**2 - 110*c**2 + 3*c**2 - 45*c**2)*(3*c**2 + c**2 - 5*c**2) in the form z*c**2 + o + d*c**4 + l*c**3 + h*c and give d.
198
Express (1 - 3 + 0)*(-2 + 2 - d)*(346 - 559 - 59) as i*d + n and give i.
-544
Express (3 - 4 - 2)*(-274 + 274 - 29*a)*(-4 + 4 - a)*(2 + 0 - 3) - 3*a**2 + a**2 + 0*a**2 in the form o + r*a**2 + w*a and give r.
85
Rearrange (-2*o + 3*o - 3*o)*(-3 - 12*o**2 + 3) + (3*o + 2*o - 4*o)*(0 + 0 - 2)*(-o**2 - 5*o**2 + 5*o**2) to x*o + f*o**3 + u*o**2 + d and give f.
26
Express 26*f**4 - 5*f**4 + 23*f**4 + (0 - 2 - 1)*(-3*f**2 - 2*f**4 + 3*f**2) as c + l*f**4 + h*f + y*f**2 + u*f**3 and give l.
50
Express -1834*d - 668*d**2 + 1834*d as q*d**2 + h + g*d and give q.
-668
Express 0 - 6*t**4 - 3*t**4 + 2 - 23*t + 2*t**3 + 7*t**4 in the form w*t**2 + y*t**4 + b*t**3 + m*t + j and give m.
-23
Express 189*u**4 + 3*u**3 - 2*u**3 + 6*u**2 - u - 191*u**4 as m*u**3 + j + y*u**2 + r*u**4 + v*u and give m.
1
Express 445*p - 30*p**2 - 445*p + (p - 3*p - p)*((0*p + 4*p - 2*p)*(-2 + 1 - 1) - 2 + p + 2) as o*p**2 + a*p + w and give w.
0
Express 0*v - 65*v - 5*v - 2 - 5*v in the form x*v + i and give x.
-75
Express (1 + 2 - 2)*(2 - 2 - 2*w)*(7*w + 13936 - 13936) as t*w**2 + j + d*w and give t.
-14
Rearrange -4*b**3 - 2 + 251*b**4 - 237*b**4 + 2*b - 2*b**2 + 0*b + 0*b**2 to the form l*b + o*b**2 + c + n*b**4 + z*b**3 and give o.
-2
Rearrange (-2*n**2 - 2*n**2 - n**2)*(-7 - 4 - 14)*(2 - 2 + 2) to t*n + p + a*n**2 and give a.
250
Rearrange -304*k - 17*k**3 + 1 + 304*k - 2*k**2 to the form y*k + l*k**3 + m + q*k**2 and give l.
-17
Rearrange -k**3 + 0 - 4 - 2*k**3 + 0*k + 8*k + 2*k**2 + 6 to the form o + t*k**3 + q*k + h*k**2 and give q.
8
Express 22*c - 4 + 4*c**2 + 69*c**4 + 5 - 21*c - 3*c**2 in the form o*c + u*c**3 + b*c**2 + t*c**4 + j and give j.
1
Rearrange -k**2 + 137*k - 24 - 66*k - 72*k to the form v*k + g*k**2 + b and give v.
-1
Express (15*a + 18*a - 12*a)*(-35 + 12 + 9*a**2 - 10*a**2) in the form h*a + d*a**2 + i*a**3 + b and give i.
-21
Express (-4 - 8 - 2)*(2*f - 6*f + 3*f + 7*f**4) in the form k*f**3 + n*f**2 + x*f + w*f**4 + r and give x.
14
Rearrange (-6*a + 3*a + 4*a)*(3 + 1 - 1)*(-9 + 9 + 21) to the form k + d*a and give d.
63
Rearrange -1 - 29*n - 1 - 2*n**2 + 3 + 0*n**2 to the form i*n**2 + o + w*n and give o.
1
Express (-3 - 1 + 1)*(6 - 2 - 1)*(0 + 0*i + 3*i**2 + 4 + i) as s*i + o*i**2 + h and give o.
-27
Rearrange -59*q - 69*q - 44*q to j*q + n and give j.
-172
Express (74 - 74 + 138*d**2)*(-5*d - 2*d + 4*d) in the form i*d + l*d**2 + p + k*d**3 and give k.
-414
Express (a + 3*a - 5*a)*(-2*a + 0*a + 0*a) + 128*a**2 - 182*a**2 + 106*a**2 + (-5*a + 0*a - a)*(-a + 0*a + 3*a) as s*a**2 + g + w*a and give s.
42
Rearrange (-19*x**2 + 2*x**2 - 6*x**2)*(2 - 1 + 1)*(-2*x - 2*x - 2*x) to f*x + h*x**2 + k + d*x**3 and give d.
276
Rearrange -45*d - 61 - 81*d - 60 + 118 to w*d + g and give g.
-3
Rearrange (317*p - 440*p + 418*p)*((2 - 2*p - 2)*(-4*p + 3*p + 3*p) - p**2 - 1 + 1 + (0*p + 0*p + p)*(-2*p - 3 + 3)) to c + z*p + x*p**2 + j*p**3 and give j.
-2065
Express (-9 + 4 - f + 3)*(2*f + 0 + 0) + 12*f**2 + 23*f**2 - 5*f**2 in the form h + n*f + l*f**2 and give n.
-4
Rearrange 8*k**2 + 8 - 3*k**3 - 8*k**4 - 7 + 9*k**2 + 4*k**4 + 11*k**4 to the form m + w*k + h*k**2 + z*k**4 + l*k**3 and give l.
-3
Express (0 + 0 + s)*(3 - 3 - 1) + 1 + 5*s + 48 + 38 as r + a*s and give r.
87
Rearrange 0 - 10*a**3 + 0*a - a**2 - 5*a - 3 + 3*a to p*a + w + j*a**3 + i*a**2 and give w.
-3
Rearrange 37 + 3 - 42 - s**2 - 48*s to p*s + m + c*s**2 and give c.
-1
Express 6 - b - 5 - 14*b**3 + 9*b**3 - 4 + 2*b**4 + 42*b**2 + 4*b**3 in the form a + k*b**3 + n*b**2 + o*b + j*b**4 and give o.
-1
Rearrange -3*m**3 - 2*m**2 - 111*m**4 - 3*m + 1 + 6*m + 113*m**4 to u*m + q*m**2 + h*m**4 + s + i*m**3 and give u.
3
Express (-6*w**4 + 3*w**4 + 10*w**4)*(3 - 6 - 3) + 3*w**4 - 2*w**4 - 3*w**4 as g*w**2 + n + c*w**4 + j*w**3 + y*w and give c.
-44
Rearrange (2 - a - 2)*(6 + 0 - 4) + 3*a + 0*a - 4*a + 146*a - 19 + 19 to c + u*a and give c.
0
Rearrange -47*s**3 + 5*s**3 - 77*s**3 + (2*s**2 + 2 - 2)*(2*s - 1 + 1) - 2*s**3 + s**2 - s**2 to the form x*s**3 + y*s + i + t*s**2 and give i.
0
Express 563*u + 1 - 564*u + 2*u**3 + 59*u**3 in the form s + w*u + b*u**2 + d*u**3 and give d.
61
Rearrange -311*l**2 + 17 - 253 + 310*l**2 - 2*l + 4 to the form v*l + w*l**2 + i and give w.
-1
Rearrange 1 - 10*n - 21*n + 0 - 4 to l*n + c and give l.
-31
Rearrange 3*a - 2*a - 3*a + (2 + 3 - 1)*(3*a - 4 + 4) - 5*a - 3*a - 2*a + (-2 - 2 + 6)*(-4*a + 3*a - a) to the form l*a + z and give l.
-4
Rearrange 27*f**2 + 12*f + 24*f + 41*f**2 - 60*f**2 to the form p*f**2 + d + s*f and give s.
36
Express 12*v**3 + 10*v**2 + 13 - 14*v**2 - 14 + 4*v as i*v + c + b*v**3 + d*v**2 and give i.
4
Express (2*x - 2*x + 78*x**2 - 181*x**2)*(5*x + 7 - 7) in the form j*x**2 + h*x**3 + t + p*x and give h.
-515
Rearrange (-2*k**4 + 4*k - k**4 - 2*k)*(1 + 0 - 2) + 304 - 11*k**4 - 304 to the form b*k**2 + f*k + a*k**4 + h + r*k**3 and give a.
-8
Rearrange -1392 + 428 + 551 - v**2 to the form r + t*v**2 + z*v and give r.
-413
Express (-3 - 1 + 5)*(1079*v + 11*v - 222*v)*(v + 1 - 1) in the form c*v + u*v**2 + q and give u.
868
Express (-100*o + 100*o - 73*o**3 + (1 + 0 + 1)*(-3*o**3 + 0 + 0))*(1 + 3 - 2) in the form g*o**2 + z*o**3 + m + l*o and give z.
-158
Rearrange -2*y**2 + 490*y + 4*y**2 - 482*y to l + q*y + d*y**2 and give q.
8
Express -3 + q**2 + 3 + (-988*q + 2333*q - 1097*q)*(3*q - q + 0*q) as g*q**2 + j*q + x and give g.
497
Express (-229*y - 89*y - 7*y)*(y - y - 2*y + (y + 2*y - y)*(4 + 3 - 5)) as f*y + q + m*y**2 and give m.
-650
Rearrange 1104*b**2 + b - 1108*b**2 - 6*b**4 + b - 5 to i*b + l*b**4 + r*b**2 + a*b**3 + c and give i.
2
Rearrange (-2*u - 3*u + 2*u)*(2*u + u - 6*u)*(27*u + 22*u + 60*u) to c*u**2 + l*u**3 + i + t*u and give l.
981
Express -2*g**4 + g**4 - 2*g**2 + 2*g**4 - 3*g - 2*g**4 + 17 - 27 - 2*g**3 in the form k + s*g + v*g**3 + o*g**2 + l*g**4 and give l.
-1
Rearrange (132*f - f + 79*f)*(1 + 2*f**2 - 1) to the form j*f**3 + m + g*f**2 + u*f and give j.
420
Express -11*c + 3 - 2*c + 12*c + c + 327*c**2 as o*c**2 + f + h*c and give f.
3
Rearrange -4*q + 0*q**2 - 27*q + 10*q - 7*q**2 - 40*q to l + i*q + o*q**2 and give i.
-61
Rearrange -3*y - 2*y**3 + 3*y + (271*y**2 - 413*y**2 + 231*y**2)*(-2*y + 3 - 3) to the form h*y + t*y**3 + v*y**2 + k and give t.
-180
Rearrange (-3*x**3 - 5*x**3 + 2*x**3)*(-x - x + x)*(10 + 40 + 13) to h*x**4 + g*x**2 + i + b*x + k*x**3 and give k.
0
Rearrange (0*j**3 - j**3 + 3*j**3)*(0*j + j + 0*j) - 2*j - 97*j**4 - 1698*j**2 + 1698*j**2 to the form f + w*j + t*j**2 + z*j**4 + l*j**3 and give l.
0
Express -24 + 88 - 32 - 31 + 460*j**2 in the form r*j**2 + h*j + l and give r.
460
Rearrange (w - 4*w - 446 + 439 + 0*w + 3*w - 5*w - 3*w + 4*w - 2*w + (-3 - 3 + 4)*(w + 0 + 0) + 4 - 4 - w)*(-5*w + w + 2*w) to y*w + d + t*w**2 and give y.
14
Express 50*s + 5 - 71*s + 20*s + 2*s**4 in the form g*s**4 + w*s**2 + q*s**3 + r + x*s and give q.
0
Express (-4*m + 2*m + 4*m)*(44*m + 22*m + 11*m) + 2*m - m**2 + 0*m - m**2 as g + z*m + u*m**2 and give u.
152
Express 2*m**3 - 5*m + 18*m - 14*m - 1 - 2*m**2 as l*m**3 + d*m + b*m**2 + y and give d.
-1
Express -15*o**2 + 31*o**2 - 46*o**2 + 3*o**2 + 2*o - 2*o + (o + 2*o + 0*o)*(-3 + 4*o + 3) in the form f*o**2 + z*o + g and give f.
-15
Rearrange 10 + 21*l**4 + 7*l - 2*l**3 - 8*l + l**2 - 22*l**4 to the form q*l**4 + x*l**3 + g*l + o + c*l**2 and give c.
1
Express (-2 - 2 - 1)*(3*c**2 - c**2 - 3*c**2) + (-1 + 2 + 0 + (-3 + 4 + 0)*(3 - 5 + 3))*(13*c**2 + c**2 + 0*c**2) in the form z*c**2 + s*c + i and give z.
33
Express -12*h**4 - 2*h + 37*h**4 - 9*h**4 + 5*h**2 - 11*h**4 - 4*h**2 in the form w*h**4 + o*h**2 + l*h**3 + t + y*h and give w.
5
Rearrange (-s + 3*s - 3*s + 20 - 3*s - 20 + (-2 + 1 + 0)*(5 - 5 + 2*s))*(5 - s - 8*s - 3) to h + f*s**2 + c*s and give f.
54
Express -14*y**2 + 15*y**2 + y**4 - 50*y**3 + 40*y**3 + 16*y**2 in the form w + x*y**3 + j*y + f*y**4 + g*y**2 and give f.
1
Express (4 - 2 + 1 - 6 + 4 - 10 + (0 + 2 + 0)*(-1 - 6 + 5))*(x**2 - 2*x**2 + 0*x**2) + 3*x**2 + 3*x**2 - 4*x**2 as p*x**2 + h*x + q and give p.
15
Rearrange (3 - 4 + 7)*(-3*f - 4 + 4)*(17*f - 543 + 543) to the form m*f**2 + w*f + k and give m.
-306
Expres
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest 100?
2800
Let x(b) = -3*b - 9. Let a be x(-7). Suppose -a*r = -8*r - 6480000. What is r rounded to the nearest 1000000?
2000000
Let t = 309.8 + -335.54. Let l = t - 2.96. Let r = 28.700266 + l. What is r rounded to five decimal places?
0.00027
Suppose -3*i - 5*u = -u + 53, -i + 2*u - 11 = 0. Let z be (-128)/((2/i)/1). Suppose 6*c - 12 = -z. Round c to the nearest 10.
-160
Let h = -7562 + -86327. What is h rounded to the nearest 10000?
-90000
Let o = 454 - 667. Let z = -10.422 - -223.525. Let b = o + z. Round b to 2 decimal places.
0.1
Suppose v = -3*p + 250490009, 3*v - 4*p - 382429590 - 369040398 = 0. What is v rounded to the nearest one million?
250000000
Let i(q) = 3*q + 171966. Let p be i(0). Suppose 4*n = -20, -3*v = -2*n - 0*n + 770888. Let d = p + v. What is d rounded to the nearest 10000?
-90000
Let a(y) be the second derivative of 805555*y**4/12 + 10*y**2 + 45*y. Let c be a(-6). What is c rounded to the nearest 1000000?
29000000
Suppose 0 - 3 = -3*p - 3*c, -3*c = -4*p - 3. Suppose 0*d + d + 6*d = p. Suppose -19*o + 21*o + 80 = d. Round o to the nearest ten.
-40
Let w = 2485 - 1774. Let d = -711.000548 + w. What is d rounded to 4 decimal places?
-0.0005
Let k = -0.0133 + -219.9867. Let r = -192.9 - k. Let g = -69.5 + r. Round g to zero decimal places.
-42
Let w = 1228.692587 + -1228.7. What is w rounded to 4 dps?
-0.0074
Let s = 16573.701 - 16604. Round s to the nearest 10.
-30
Let y = 137 + -187.6. Let h = y + 61. Let q = -10.39931 + h. Round q to four dps.
0.0007
Let l be (-4)/(-18) + 196/9. Suppose -5*u + 37 = l. Suppose -u*o - 308 = 1528. Round o to the nearest 100.
-600
Let j = -0.089079106 + 0.0891. Round j to 7 decimal places.
0.0000209
Let n be 79794496/(-1116) - 16/(-36). Round n to the nearest ten thousand.
-70000
Let x = 261559 + 2706441. Round x to the nearest 1000000.
3000000
Let g = -13759347.50000525 + 13759336. Let c = 11.5 + g. Round c to six decimal places.
-0.000005
Let n(l) = 840657*l + 87. Let f be n(9). What is f rounded to the nearest one million?
8000000
Let o(j) = 42*j - j**3 - 30*j - 16 + 2 - 3*j**2 - 2*j**2. Let p be o(-7). Suppose p = -15*g + 12*g + 99000. Round g to the nearest 10000.
30000
Let x = -3659.99997008 - -3660. What is x rounded to 6 dps?
0.00003
Let a = 87 - 29. Let z = -17077.152 + 17135. Let q = a - z. Round q to 2 decimal places.
0.15
Let q = -2895 + 2895.000012564. Round q to 6 decimal places.
0.000013
Suppose -3*g + 132628 = 4*s, -2*g - 3*g - 2*s = -221070. Let k = g + -149250. Let w = 52834 + k. Round w to the nearest ten thousand.
-50000
Suppose -o - 5*q = 1510000, -3*o - 2*q - 5321096 + 791096 = 0. What is o rounded to the nearest one hundred thousand?
-1500000
Let t = -8132.99992317 + 8133. Round t to 5 decimal places.
0.00008
Let b = -1742.50469 + 0.40469. Round b to the nearest one hundred.
-1700
Let u(a) = 7265*a**2 + 2*a + 1. Let b(i) = 2*i**2 + 50*i - 45. Let p be b(-26). Let s be u(p). What is s rounded to the nearest 100000?
400000
Let x = -0.4793 - 0.0417. Let a = 0.585 + x. Round a to 2 decimal places.
0.06
Let z = -354632897 - -584185369. Suppose -4*i + z + 228847528 = 0. Round i to the nearest 1000000.
115000000
Suppose -2*w + 8*x - 10*x = -257560, -3*w = 5*x - 386340. Round w to the nearest 10000.
130000
Let d = -22.0297245 - -22.03. Round d to four decimal places.
0.0003
Let c = -5588937954533194681 - -5588937947792717867.100000051. Let f = -6740476806 - c. Let z = f + -7.9. What is z rounded to seven decimal places?
-0.0000001
Suppose 13*i + 161 = -10*i. Let m be 27400/(i/(29750/(-5))). What is m rounded to the nearest 1000000?
23000000
Let z be (-4)/18 - (0 - 222/27). Suppose 5*p = -z*p - 16198. What is p rounded to the nearest ten?
-1250
Let x = 0.365895672 + -0.3659. What is x rounded to 7 dps?
-0.0000043
Let z = 0.4168 + -0.0543. Let a = -28.66 + 29. Let q = a - z. What is q rounded to two decimal places?
-0.02
Let t = 16.238 + -15.97. Let g = -32500 - -32499.73333. Let z = g + t. Round z to four decimal places.
0.0013
Let q(g) = g**2 - 34*g - 67. Let y be q(36). Suppose -5*p = y*k + 1474995, -767027 = 4*k + 5*p + 412968. Round k to the nearest one hundred thousand.
-300000
Let d = -19190753120189461.0000121 + 19190753893973648. Let h = 773784231 - d. Let x = h - 44. Round x to 6 decimal places.
0.000012
Let d be 402/33 - 4/22. Let u = d - 10. Let z(a) = 47*a**3 + a + 2. Let r be z(u). Round r to the nearest 10.
380
Let z = -48.7 + 53.16. Let t = z + -4.6. Let k = t + 0.152. Round k to two dps.
0.01
Let u be 4/2 - (73919821 - -181). Round u to the nearest one million.
-74000000
Let i = -12809698 - -12809698.81340168. Let u = -0.523402 + i. Let c = u + -0.29. What is c rounded to 6 dps?
0
Suppose -12*u + 8*u + 24 = 0. Suppose 10 = -5*z + a + 4*a, u = z + 3*a. Suppose z = 2*o - 2293171 - 2086829. Round o to the nearest one hundred thousand.
2200000
Suppose 3*z - 3*w + 290138 = -z, 217602 = -3*z + 2*w. What is z rounded to the nearest one thousand?
-73000
Suppose -5*m + 5*o + 20 = 0, -5*m = 4*o - 3 - 8. Suppose -7058895 + 33548895 = m*t. Round t to the nearest 1000000.
9000000
Let a = 110.5 + 88. Let w = a - 244. Round w to 0 decimal places.
-46
Let j = 266.6 + -2495.6. Let h = j - -2229.03459. What is h rounded to 3 dps?
0.035
Let i = -70.3 - -74. Let u = 140.7 - i. Let z = u + -101.4. What is z rounded to the nearest integer?
36
Let b = 190.651 - -5.749. What is b rounded to the nearest one hundred?
200
Let z = -311983 + 157831. Let w = 626152 + z. Round w to the nearest 100000.
500000
Suppose 0 = -10*c + 8*c + 142. Suppose -2*x + 7*x = -2*h + 2349, -x - h = -468. Let g = c - x. Round g to the nearest one hundred.
-400
Let y = 45985.999979561 + -45986. What is y rounded to 6 decimal places?
-0.00002
Let p = -53 + 44. Let u be 6/p*6 + (3 - 3). Let f be 5596 + 2 + -2 - u. What is f rounded to the nearest 1000?
6000
Let o = 652 - 814. Let s = o + 161.999085. What is s rounded to 4 dps?
-0.0009
Let k(h) = 3055550*h + 50. Suppose 5*p + 3*c - 2*c = 49, 2*p = c + 14. Let s be k(p). Round s to the nearest one million.
28000000
Let i(w) = 1446882*w**3 + 16*w**2 + 27*w - 69. Let y be i(-7). What is y rounded to the nearest one million?
-496000000
Let y = -4.2524 - -2.7831. Let h = 0.3617 - y. Round h to 1 decimal place.
1.8
Let b be 540/(-10) + (0 - 4/2). Let x be b/((-7720)/23250 - (-1)/3). Round x to the nearest ten thousand.
-40000
Suppose -3*c - 35653210 = -7*c + 5*h, -3*c - 2*h = -26739896. What is c rounded to the nearest one hundred thousand?
8900000
Let t = -24883 - -24880.3194. What is t rounded to the nearest integer?
-3
Let d be (1/(-2))/(7 + 1011/(-144)). Let m(q) = d - q**3 - 23*q**2 + 57*q**2 - 1 + 3*q**3 + 22*q. Let w be m(-18). Round w to the nearest one hundred.
-1000
Let s = -17081 + 17081.00041156. What is s rounded to six dps?
0.000412
Let h = 635 - 634.953729. Round h to 4 dps.
0.0463
Suppose 17*f + 9*f = 1332228341 - 6891808341. What is f rounded to the nearest 1000000?
-214000000
Suppose -2*z = -3*o + 1883, 0 = -o - o - z + 1246. Suppose 6*u - 206592 = -6*u. Let f be (-4*o/2)/(8/u). Round f to the nearest one hundred thousand.
-2700000
Let n = -64867 - -64866.9999965353. What is n rounded to 7 decimal places?
-0.0000035
Let c = 8023.0060805 - 8023. What is c rounded to three decimal places?
0.006
Let o = -114586567.0727366 - -114586488. Let m = 0.0918366 + o. Let t = m - -79. What is t rounded to 3 decimal places?
0.019
Let i = -60 + 60.053. Let u = -0.04686 + i. Round u to 3 dps.
0.006
Let r = 15576 + -14647.9. What is r rounded to the nearest 10?
930
Let m = -6189 - -6189.00002254. What is m rounded to 6 dps?
0.000023
Suppose s = 16 - 30. Let z = s + 13. Let n be (-46800)/(12/2000*z). What is n rounded to the nearest one million?
8000000
Let k = 0.732 - -388.268. Let z = 393.86 - k. Round z to the nearest integer.
5
Let y = -0.249724861 - -0.24981. Round y to six dps.
0.000085
Let z(l) = 7*l**3 - 2*l + 5*l - 2*l - 2. Let t be z(1). Suppose t*r - 3528 = 972. Round r to the nearest 100.
800
Let o(r) = 2038*r**2 - 28*r - 9. Let m be o(6). Let t = 20191 - m. What is t rounded to the nearest one hundred thousand?
-100000
Let c = 11.009 + -0.009. Let i = c + -34. Let d = 19.6 + i. What is d rounded to zero decimal places?
-3
Let h = 31181215.3
|
{
"pile_set_name": "DM Mathematics"
}
|
t x = 65 + -13. Let z = 48 - x. Let g = 2 - 2.2. Which is the third smallest value? (a) -2 (b) z (c) g
c
Let m be -2 + 4 + 22/(-8) - -1. Let k = 0 + 2/5. Which is the second biggest value? (a) -1/4 (b) k (c) m
c
Let i = -6.08 + 2.08. What is the third smallest value in 87, i, -0.5?
87
Let m be (1/(-39))/(-1)*(22 - 28). What is the third biggest value in -4, 2/9, m, 0.5?
m
Let o be 4/(-6) + 1/(-3). Let z = 1 + -1.2. Let u = z - -0.1. Which is the biggest value? (a) u (b) -4 (c) o
a
Let f = 0.117 + -5.117. What is the smallest value in f, 24, 4, 1?
f
Let o = 58 - 25. Let d = -32 + o. Suppose -1 = -m + 2*i - i, -4*m - 2*i + 22 = 0. Which is the biggest value? (a) m (b) -0.2 (c) d
a
Let k = 60 - 43. Let u = k + -18.4. Let g = 1 + u. Which is the second smallest value? (a) 0 (b) g (c) 0.1
a
Let y = -43 + 85/2. Which is the second smallest value? (a) 15 (b) y (c) -3/7
c
Suppose 2*t + 5*p = 2 - 5, 0 = 3*t + 4*p + 8. Let w = 4.848 - -0.152. What is the second biggest value in t, 3, w, 0?
3
Let s = -1159 - -1155. Which is the second biggest value? (a) s (b) 2 (c) 0.19
c
Let r = -7.6 - -1.6. Let u = -4 - r. Let l = u - 2.2. What is the third smallest value in 0.3, l, 0?
0.3
Let i be (6*1)/((-168)/(-16)). Let n = 52 - 51.93. Which is the biggest value? (a) 0.5 (b) -4 (c) n (d) i
d
Suppose -15 = -5*z, -3*t + 4*z = -0*t + 3. Suppose -n = -t + 4. Let l = -4.096 - -0.096. Which is the third biggest value? (a) l (b) n (c) -1/4
a
Let n = 0.5 + 0. Let t = 223 + -226. Suppose -11 = 5*g - 2*g + 4*d, -g + 3*d + 18 = 0. Which is the third biggest value? (a) g (b) t (c) n
b
Let x be (-54)/30 + (-1)/5. Let h be (-207)/594 - x/3. Let d = h - 69/44. Which is the second biggest value? (a) 2/11 (b) d (c) 0
c
Let n be 32/(-3 - 5) - (-68)/18. What is the third smallest value in n, 9/4, 3?
3
Let x = 3 + -12. Let b = -179 + 177. What is the third biggest value in 0.3, b, x?
x
Let h be -6*(-9 + (-888)/(-99)). Which is the third biggest value? (a) h (b) -1.4 (c) 2
b
Suppose -3*y - 8 = q - 8*y, 2*y = -q - 8. What is the second biggest value in 0.5, 2, q, 5/6?
5/6
Let g = 0.1 + 0.9. Let j = 24119/60060 + -16/429. Let i = j - -1/28. Which is the third biggest value? (a) -4 (b) g (c) i
a
Let g be (-5)/6 - (-18)/18. Which is the second biggest value? (a) 49 (b) g (c) -3/7 (d) 0.2
d
Suppose -16 = 8*y - 6*y + 3*g, -g = -2*y. Let c be 96/(-2)*3/4. Let s be c/(-17) - y/(-1). What is the third smallest value in 1, -5, s?
1
Let t be 6/18*7/((-35)/(-80)). What is the biggest value in 0.2, t, 2?
t
Let l = 196 + -189. Which is the second biggest value? (a) l (b) -2/17 (c) -4 (d) 0.3
d
Let f = -30 + 68. Let d = -71 + f. Let l be 2 - (d/27 + 3). Which is the second smallest value? (a) 0 (b) l (c) 5
b
Let y = 1.99 - 4.16. Let h = y + 0.17. What is the smallest value in 1, h, 5?
h
Let z = -84 - -87. Suppose 2*f = -f + 3*g + 3, 18 = z*f + 2*g. Let t(d) = -d**2 - 6*d + 2. Let j be t(-6). What is the smallest value in f, j, 3?
j
Let o = -11 - -6. Let d = 12 + -8. Let u = 0 - d. Which is the smallest value? (a) u (b) -0.5 (c) o
c
Let p = -2462 - -2520. What is the third smallest value in p, 1/2, -4?
p
Let c = 17.33 + -1.13. Let t = c + 0.8. Let h = 16.5 - t. What is the biggest value in h, 0.5, -0.12?
0.5
Let z = -127.03 - -127. Which is the second biggest value? (a) 2 (b) -2 (c) z
c
Suppose 25 = c - 4*c + 4*f, -f - 5 = 3*c. Let o = 20 + 2. Let a be (2/5)/(o/55). What is the second biggest value in c, a, 0?
0
Let u = 191 + -126. Let v be u/(-25) - -4 - 1. Let s = 1.2 - 1. Which is the smallest value? (a) v (b) -4 (c) s
b
Let b = 6/5 + -4/5. Let x be -55*(-1 - 120/(-132)). What is the biggest value in x, 4, b, -1?
x
Suppose 4*u - 73 = -57. Suppose k + 2*n = -2, 0 = 3*k - 2*n - 0 - 2. Which is the second smallest value? (a) u (b) -2 (c) k (d) -4
b
Let o = 910 + -910. What is the fourth smallest value in -0.79, 1, 0.2, o?
1
Let v = -317 + 1587/5. What is the biggest value in 6/5, 0.04, v?
6/5
Let s be (-129)/15 + 6/(-15). Let g be (-3)/9*s/(-5). Let o = -393 + 394. Which is the smallest value? (a) g (b) -4 (c) o
b
Let x = 21.012 - 0.012. Let w = -20 + x. Which is the smallest value? (a) -12 (b) 0.1 (c) w
a
Let h be (60/540)/((-2)/(-30)*1). Which is the second smallest value? (a) 0.34 (b) 1 (c) h
b
Suppose 252 - 152 = -20*k. Which is the third smallest value? (a) 0.4 (b) 1/7 (c) -1 (d) k
b
Suppose b = -2*g + 10, -5*g + 9 + 10 = b. What is the smallest value in 1, 5, b, 2?
1
Let o = -9.6 - -9.8. What is the second biggest value in -5, o, -13, -3/2?
-3/2
Suppose 5*p + 2*f - 225 + 25 = 0, -2*f = 0. Let v be ((-184)/p)/((-38)/(-5)). Let c = v - -2/19. What is the second biggest value in 0, 0.2, c?
0
Suppose -78 = -9*j + 12*j. Let l be (-91)/j*1/7. Which is the third biggest value? (a) l (b) 8 (c) -0.5
c
Suppose 3 = y - 18. Let u = 10 + y. Let z = u + -31. Which is the biggest value? (a) -0.4 (b) 9 (c) z
b
Let v be 1*1*2/(-2). Let f = 5.5 + -3.5. Which is the second biggest value? (a) v (b) 3 (c) f
c
Suppose -14 = 4*u + 14. Let o be (-4)/u + 594/63. Let p be ((-12)/30)/(2/o). What is the third biggest value in 0.4, 3, p?
p
Let f = -3.49 - -3.29. Which is the fourth smallest value? (a) 27 (b) f (c) -4/7 (d) 0
a
Let h be 1 + 1 + (-5)/45*15. What is the second smallest value in 0.5, 0.02, h?
h
Let x = 0.8 - 0.3. Let i = 0.25 - 0.25. Let t = 2 - 4. What is the smallest value in i, x, t?
t
Let q = 0.03 + -0.63. Let l = -4.6 - q. Let j(t) = -t**3 - 11*t**2 - 9*t + 7. Let m be j(-10). Which is the second smallest value? (a) l (b) m (c) 2
b
Let g = 1 - 0.8. What is the second biggest value in -5, g, -13, 5?
g
Let c = 218 + -227. What is the second smallest value in -0.5, c, -0.2?
-0.5
Suppose -6*n + 172 = -2*n. Let m = n - 48. Which is the second biggest value? (a) 8 (b) -0.2 (c) m (d) -1
b
Let h = 1114 + -1113. Let j = 1.4 - -0.6. What is the smallest value in 0.5, j, h?
0.5
Let x(d) = 5*d - 3. Let k be x(2). Suppose -23 = 6*w - k*w. What is the second smallest value in 2, w, -2/7?
2
Let t = 4 + 3. Let v = 55 - 37. Let o = v - 17.9. What is the second smallest value in t, o, -1/6?
o
Let o = -63.56 - -58.5. Let q = 0.06 + o. Which is the smallest value? (a) 28 (b) 5 (c) q
c
Let p be ((-3)/5 - 168/(-480))/(-1). Let q be ((-2)/8)/((-18)/(-8)). What is the second smallest value in p, -2, q, -0.5?
-0.5
Let l = -121 - -125. Let m = 34 - 24. Which is the second biggest value? (a) l (b) -4/5 (c) m (d) -4
a
Let z = -487 - -490. What is the third smallest value in -2/13, -2, 2/9, z?
2/9
Suppose 2*w + 3*g = -0*w + 18, 2*w + 4*g = 20. Let q be (-4)/w + (-22)/(-6). Let y = -0.1 - 2.9. Which is the second biggest value? (a) q (b) y (c) 3/2
c
Let z = 33 + -32. Let x be (16/(-80))/(z - 0). Which is the third biggest value? (a) -5 (b) x (c) 5
a
Let u be (-2)/3*(5 - 2). Let j be u/9 + (-20)/(-36). Let o be 1 - ((-14 - -12) + 34/10). What is the biggest value in j, o, -3?
j
Suppose 2 + 0 = t. Let w = -1.42 + 78.42. Let f = 77.3 - w. Which is the biggest value? (a) 4/7 (b) f (c) t
c
Let s = -94.2 - -93.9. Which is the biggest value? (a) 1/4 (b) s (c) -26.3
a
Let l = -24 + 24.5. Let j = -1.1 + 0.1. What is the second biggest value in 6, j, l, -0.3?
l
Let g = -2 - -2.2. Let h = 17.35 + -21.35. Which is the second smallest value? (a) -0.05 (b) h (c) g
a
Let f = 53 - 797/15. Let w be (-34)/(-20) + -5 + 3. Let m = w - f. Which is the biggest value? (a) -5 (b) m (c) 0
c
Let g = 8 - 7.3. Let o = -82 - -572/7. Let z be 0/(3 - 26/13). Which is the third smallest value? (a) z (b) o (c) g
c
Suppose 4*a - 2*j - 24 = 0, 3*a + 3*j = 38 - 11. Suppose a*t - 3*t - 8 = 0. Let f be (t/3)/(6/(-27)). What is the biggest value in f, 1, 0?
1
Let j = -7.05 - -0.05. Let x = j + 8.8. Which is the smallest value? (a) x (b) -2/3 (c) 0.5
b
Let a be (-5)/2*(-440)/1375. What is the second smallest value in 0, a, -20?
0
Let h = 102.3 - 103.3. What is the third smallest value in 28/5, h, 0.3, 1?
1
Let y = 1.26 + 2.74. Which is the third biggest value? (a) -0.02 (b) y (c) 0.1
a
Let h be ((-103)/(-1545))/(1/(20/6)). Let v = -2.9 + 3. What is the second biggest value in h, 2/7, 16, v?
2/7
Let y = 1880 - 1877. Which is the third biggest
|
{
"pile_set_name": "DM Mathematics"
}
|
0, -j + m = 0 for t.
4
Let z = -985 - -995. Solve 2*h = 3*t + z, -4*t - 5 = -4*h + 15 for h.
5
Let c = 13101 + -13099. Solve 5*g - 4*k - 13 = 0, -11 - 15 = -4*g - c*k for g.
5
Let t = 37 - 32. Suppose 0 = -3*k - 5*b + 76, -t*k + 89 = 4*b - 16. Solve -2*m = -g - 8, g + 0*m + 3*m - k = 0 for g.
2
Suppose 0 = -2*z + 665*v - 662*v - 5, -2*z = -4*v + 8. Solve -o + 3*w = -4, 5 + 3 = z*o + 3*w for o.
4
Let b be 2/(-15) + (-5246)/(-645). Suppose 0 = -b*o - o + 27. Solve o*q = 2*q + 4*u + 7, -2*q = 4*u + 10 for q.
-1
Suppose 5*k + 0*y - 325 = y, -3*k - 3*y = -213. Let l = 68 - k. Solve -3*s = -4*a - 2*s - 14, 0 = 2*a - 3*s + l for a.
-4
Let u be (4473/(-1988))/(6/(-8)). Solve -2*j + 9 = 3*x - 4*x, u*x + 2 = j for j.
5
Suppose 4*u = 7 + 1. Suppose 0 = -3*y + s + 6, 5*y + 9 = 4*s + 19. Solve u*r - 5*c - 22 = -0*r, y*r + 3*c + 10 = 0 for r.
1
Let g(t) = -t**3 + 24*t**2 + 27*t - 46. Let x be g(25). Suppose 0*i + 15 = -3*i, -x*k = -5*i - 37. Solve -4*h - 5 = -k*j, 4*h - 2*j + 0 = -6 for h.
-2
Suppose -5*o = 15*t - 180, 4*t = 2*t - 3*o + 10. Solve -2*x = -5*b - 17, -t*x + 5*b = -15*x - 14 for x.
1
Let q be 1/1 - -1*1. Let w be 3*(-9 - -8)*680/(-6). Suppose 0 = i - w + 339. Solve 1 = -d + f, -q*f + 1 = 3*d - i for d.
0
Let d(w) = -2*w**3 + 3*w**2 + 84*w + 80. Let o be d(-1). Solve 4*b + o - 17 = -2*i, -4*i + 4*b = 4 for i.
2
Suppose -x + 4*f - 18 = 8*f, -18 = 3*f. Solve 4*w - 8 = 2*s, 0 = s - x + 2 for w.
4
Let u be (-12)/102 + 1018/(-17). Let z = u + 66. Suppose -z*b + 3 = 3. Solve 0 = 3*p - y + 15, b = -5*p - 2*y - 21 + 7 for p.
-4
Suppose -8*s + 273 = 5*s. Suppose -2*a = 5*j - 0*j - s, 2*j = 2*a. Solve j*r + 3*y = 0, -4*r - 5 = -y - 0*y for r.
-1
Let v be (-6)/7*31/(1023/(-308)) + -8. Let f = 23 + -19. Solve 13 = -3*c - f*o, 6*c - 2*c + o = v for c.
1
Suppose 4*h - 2393 = -5*q, h + 993 - 41 = 2*q. Let y = q + -462. Solve 3*m + 5*k - y = 4*k, 0 = 5*k for m.
5
Suppose -2*l = -5*r + 248, 10*l - 5*l = 2*r - 662. Let g = l - -134. Solve -2*q = -n + 4, -q = 3*n + 2 - g for n.
0
Let x = -11849 + 11854. Let i be 3/(-12) - (-2)/8. Solve i = -a + 2*v + 1, 0 = x*a + 6*v - 3*v + 34 for a.
-5
Let d = 392 + -279. Let n = -111 + d. Solve 0 = -3*k + 6, 4*k + 12 = 6*j - n*j for j.
5
Let i(u) = -2*u**2 - 15*u + 277. Let a be i(-16). Solve -41*z + 43*z + 22 = -4*f, -a*z - 5*f - 30 = 0 for z.
-1
Let n(j) = 5*j**2 - j + 4. Let l = 185 - 185. Let z be n(l). Solve -2*c + 4*t - 24 = 0, -12 = -c - z*t - 0*t for c.
-4
Let z be (-195)/(-60) + (-80)/64. Solve 0 = -3*b + 2*l - 0*l + 17, 2 = -z*l for b.
5
Let q = 1191 - 547. Let f = q - 640. Solve 3*d - f = -4*n, 0 = 4*n - 4*d - 1 - 3 for n.
1
Let c be (5/2)/((25/10)/5). Suppose c = 14*x - 9*x. Solve 2*z + x + 9 = 5*h, 3*z = -5*h - 15 for z.
-5
Suppose 30700*q - 30391*q - 3708 = 0. Let d(c) = -c**2 + 4*c + 2. Let u be d(4). Solve r + 3*j = -2*r - q, u = 2*j for r.
-5
Let y = -12219 + 12223. Solve 2*u = -3*r - 0 + 15, -5 = -r + y*u for r.
5
Let j(i) = 2*i**2 + 7*i - 1. Let n be j(-4). Suppose -n*b = -4*b - 45. Let l = -39 - b. Solve -4*u = -2*m + 4*m - l, m = -5*u + 12 for m.
-3
Suppose -9*x + 8*x - 3*t + 187 = 0, 5*t + 187 = x. Let y = -184 + x. Solve -5*z + 3*r - 10 = r, -y*r = -2*z - 4 for z.
-2
Let p be ((-417)/(-12))/((-1)/12*3). Let d = p + 145. Solve -5*u = 0, -3*q + d + 9 = u for q.
5
Suppose 4*o + 30 = -3*d, 5*o - d = -6*d - 40. Let j(k) = k**3 + 5*k**2 - 6*k + 2. Let y be j(o). Solve 4*x = -y*r - 2, 0*x - 11 = -2*x + 3*r for x.
1
Suppose 0 = -11*j - 2 + 90. Let t(n) = -5*n**2 + 39*n + 8. Let z be t(j). Solve -5*o = -4*g + 10, 2*o - 4*g + 0*g + 4 = z for o.
-2
Let u = -29914 + 29931. Solve 0 = 5*f - 4*d - 16, -4*f + 2*d - 9 = -u for f.
0
Let k = -9169 + 9193. Solve 0 = 4*q + 2*z + 2, -5*q - 25 = -k*z + 19*z for q.
-2
Let p(c) = -5*c**3 - c**2 + 2*c + 8. Let w = -128 - -126. Let l be p(w). Let j be (0 + 32/10)*l/16. Solve -3*i - i + 5*d - 17 = 0, -3*i = d + j for i.
-3
Let o = 129 - 45. Let g = o + -90. Let z be g/9 - (-10)/15. Solve z = -m - u + 2*u - 1, -5*u + 35 = 5*m for m.
3
Let f(w) = 15*w + 47. Let k(l) = 2*l. Let p(o) = f(o) - 5*k(o). Let g be p(-9). Suppose -73 = -g*d - 63. Solve -2*y = -4*v + 20, -d*v + 3*y + 25 = -2*y for v.
5
Let s(k) = -k**3 + 13*k**2 - 7*k - 56. Let n be s(12). Let b be -6*(-1 + n/3) - -6. Solve b*p + 11 = -x, -x - p = -2*p - 9 for x.
5
Let b(s) = -s**3 - 2*s**2 + 4*s + 16. Let d = -317 + 317. Let c be b(d). Solve 4 = 2*u, -3*f - 2*u + c = -0*f for f.
4
Let c = -374 + 372. Suppose 929 = 5*u + 29. Let n be c/17 + u/85. Solve 2 = 4*z - 0*y + n*y, 1 = z + y for z.
0
Let s = -421 + 752. Let t = -205 + s. Let q be (72/14)/(27/t). Solve 4*b - 5*h = 33, 0*b - q = -2*b + 4*h for b.
2
Let o = -213 - -244. Suppose 16*n - o = 1. Solve h + 2 - 11 = -4*z, -4*h + 8 = n*z for h.
1
Let t(a) = a**3 + 15*a**2 - 25*a - 139. Let k be t(-16). Solve -x = k*p + 22, -4*x - 12 = -8*x for p.
-5
Let u(w) = 4*w - 14. Let s be ((-4)/(-2))/(12/30). Let r be u(s). Suppose -8*g = -5*g - r. Solve g*h = 3*b + 4*h + 5, 5*h = 2*b - 22 for b.
1
Suppose -2 = 2*q, 4*i - 35*q - 2483 = -36*q. Let y be (-4)/68 + i/153. Solve d - 20 = y*z, -4*d - z + 19 = 7 for d.
4
Let j be (-1)/((4 - 6)/(258/3)). Suppose 3*n + j = 5*f, 0 = 3*f + 5*n - 26 + 7. Solve x - 4*s = -f, x - s = 3 - 2 for x.
4
Suppose 0 = 2*t - 0*t - 8. Let j be 847/21 - t/(-6). Suppose -9*n - 5 = -j. Solve -n*c - c + 2 = -x, -c = -4*x - 8 for c.
0
Suppose 3*u + 4*v + 0*v = -1, -5*v = 5*u. Let f be u/(-4)*24/(-18)*-57. Let h = 23 + f. Solve -4*r + 4*i = -16, -5*r - 2*i - i - h = 0 for r.
1
Let f = -1541 - -1561. Solve 0 = d + 1, 5*d + f = -0*h - 5*h for h.
-3
Suppose -77 + 65 = -6*r. Let o(j) = j**2 - 9*j - 10. Let q be o(10). Solve -a = 2*f - q*f - 10, -r*f = -a - 10 for a.
0
Suppose 2*n + 525 = -5*n. Let d be (-4592)/80 + 3/(-5). Let l = d - n. Solve 4*t = 4*a - 4, 5*a = 3*a - 3*t + l for a.
4
Let n be (16/12)/((-6)/198). Let p = n + 46. Suppose p*q = -9 + 15. Solve -2*o - q*o = c - 23, -3*o - c + 13 = 0 for o.
5
Let v be 2/(-4)*-90 - -6. Suppose -57 = -9*y + v. Solve -2*j = -4 + y, -5*g - 3 = 2*j for g.
1
Let v = 283 - 276. Suppose -5*z - 21 = -2*q, -12 = -v*q + 4*q + z. Let h be -1 + (3 - (1 + -2)). Solve h*b - 5*y = -25, -2*b + q*y - 16 + 0 = 0 for b.
-5
Let r be 80/24*(-6)/(-4). Solve 0 = r*h - i - 6 - 6, -3 = -i for h.
3
Let p(g) = g**3 - 7*g**2 + 27*g - 82. Let x be p(5). Solve -2*k = -2*y - 8, x*y + 0*y = -5*k + 12 for k.
3
Let t = -258 + 262. Solve -t*h - 4*n = -9*n - 27, 2*h - 4*n - 18 = 0 for h.
3
Suppose 5*t - 2*v - 1 = 4, -4*t = 5*v - 37. Let c(f) = -16*f**2 - 1310*f - 1134. Let i be c(-81). Solve -d = y - 6, i = -t*d + 3*y - y + 3 for d.
3
Let w = -168 - -163. Let t be (w + 3)/(4/(-6)). Solve 5*b + 4*x - t = 28, b = 3*x - 9 for b.
3
Let m(f) = 3*f**3 + 15*f**2 + 29*f + 145. Let z be m(-5). Solve -2*k - 3*r = -13, z = -r - 2 + 7 for k.
-1
Let p = -34 - -108. Let x = -72 + p. Solve x*i = 5*c - 4, -5*c + i + 2 = -0*i for c.
0
Let g = 6235 + -6234. Solve -g - 4 = -3*m + z, 5*m - 5*z = 15 for m.
1
Let x(t) = -t**3 - 3*t**2 + 3*t. Suppose 9*d = 23 + 94. Suppose -2*u = -5 + d. Let s be x(u). Solve -3*g = s*j + 12, 4*j + 12 = 2*g - 0 for g.
0
Suppose -131*i = -125*i - 6. Let x be (i - -4)/((9 - -2)/11). Solve 0 = -0*p - 4*p - x*n - 22, 4*n = -8 for p.
-3
Suppose 5*w + 32 = 5*m - 3, 2*w = -m - 2. Suppose 7*t - 3*t = m*a - 20, -10 = 2*t. Suppose 2*c = -2*c. Solve 2 = 4*b - c*b + 2*r, a = b - 5*r - 28 for b.
3
Let p = 869 + -1388. Let n = -516 - p. Solve 0 = -n*o - 5*x + 1, -3*o + 2*x = -2*x - 10 for o.
2
Let u(k) = 16 + 16 - 39 - k. Let c be u(-5). Let b be (11 + -33)/(c + 0). Solve -b = z - 3*j, -2*z - 2*j + 2 = -16 for z.
4
Suppose -55 = -12*q + 5. Let f(i) = 2*i - 5. Let z be f(q). Suppose y - z*y - 5*k + 8 = 0, -4 = -2*y - k. Solve -17 = 2*b + 5*o, y*b + 2 = -3*o - 9 for b.
-1
Suppose -t - 2*s + 0*s - 140 = 0, 5*s - 10 = 0. Let w = -141 - t. Suppose -w*k = -q - 40, -4*q + 65 = 5*k - 2*k. Solve -5*y - 20 = -m, -4*y - k - 1 = -m for y.
-4
Suppose 4*h + 16 = 0, h = -147*u + 148*u - 7. Suppose 3*f - y - 11 = 2*f, 8 = -4*y. Solve 0*v + u*g = 3*v - f, 5*v + g = 15 for v.
3
Let u = -9 - -11. Let w(i) = 2541*i - 2532. Let n be w(1). Let p = 6 - 3. Solve -m - u*m + x + 9 = 0, 0 = -p*x + n for m.
4
Suppose 0 = 2*v + 46 + 98. Let a = v + 74. Suppose -z + 2 = 0, 0 = -3*n + 5*z -
|
{
"pile_set_name": "DM Mathematics"
}
|
ng order.
2/13, 1/6, c, 14
Suppose 15*u + u = -80. Suppose -3*d + d = 6. Sort d, 1, 5, u in decreasing order.
5, 1, d, u
Let m = 967/176 - -1/176. Sort -3/4, -5, 2/15, m.
-5, -3/4, 2/15, m
Suppose 4*o + 3*w = 64, -3*o - 7*w + 55 = -3*w. Suppose o = -5*b + 93. Let c be (6/b)/((-9)/(-12)). Sort 2/5, c, 3/7 in increasing order.
2/5, 3/7, c
Suppose 5*c = 5*s - 30, -s + 3*c + 21 - 7 = 0. Put 1, -4, s in descending order.
s, 1, -4
Let w = -804 + 817. Sort 0.05, -0.1, w in ascending order.
-0.1, 0.05, w
Let v = 3.08 - 1.08. Sort 1, v, 0 in descending order.
v, 1, 0
Let m = 0.008 + -0.208. Sort -0.5, -3, m in ascending order.
-3, -0.5, m
Let q = -4 + 8. Let v = -4.3 + q. Let z = 0.169 + 0.031. Put v, z, 5 in ascending order.
v, z, 5
Suppose -4*q + 31 - 15 = 0. Sort q, 5, 1 in decreasing order.
5, q, 1
Suppose -6 = -3*f, -2 = 4*p + 5*f - 0*f. Let s be 4/p*(30 + 0). Let w be s/104*4/10. Sort 0, -0.1, w in decreasing order.
0, -0.1, w
Let r be (-13 + 2)*(23 - 24). Put 0.3, 9/2, r, 1/6 in decreasing order.
r, 9/2, 0.3, 1/6
Suppose -p - 2*p = -9. Suppose -3*m + p*h + 42 = 0, 0 = -4*h - 13 - 3. Put 5, m, -1 in increasing order.
-1, 5, m
Suppose 10 = -18*f + 23*f. Suppose 2*c - 4 = 2. Put -5, -1, c, f in decreasing order.
c, f, -1, -5
Suppose -5*d = -81 + 41. Let i(j) = -j + 13. Let b be i(d). Put 0, 4/9, b, 81 in decreasing order.
81, b, 4/9, 0
Let u be 1/(-5)*(3 - 0). Let r(h) = 5*h**2. Let v be r(-1). Suppose -i = -0*i + v. Sort u, 9, i.
i, u, 9
Let i = -50 + 62. Let z be 4/i*3 + 0. Let o = -11 + 7. Sort z, o, -3 in descending order.
z, -3, o
Let z = -60 - -46. Let r = -15 - z. Sort r, 3/5, -4, 5 in ascending order.
-4, r, 3/5, 5
Let l = 0 + 0.05. Let c = -7.95 - l. Let y = 174.9 + -175. Sort 2/13, c, y.
c, y, 2/13
Let p = 40 - 44. Let m be -15 - -17 - (-1 + (-25)/(-9)). Sort m, -5, p, 4/5.
-5, p, m, 4/5
Let l = 3.5 - 3. Let r = -19 - -19.4. Let x = -633 + 638. Put l, r, x in decreasing order.
x, l, r
Let a = 0.08 + 2.92. Let d = -5 - -3. Let h = 13 - 16. Put d, h, a in ascending order.
h, d, a
Let a = -4/97 + 4474/291. Sort -2, a, 1 in ascending order.
-2, 1, a
Suppose 0 = -6*t - 24 + 18. Sort -3, 0, 3, t.
-3, t, 0, 3
Suppose 945 = 46*q - q. Sort -22, q, 1, 0 in decreasing order.
q, 1, 0, -22
Let z = -24.2 - -24. Let r = -1.6 - -1.2. Sort z, r, 5 in increasing order.
r, z, 5
Let i = -72 - -72. Suppose 2*t + 42 - 36 = i. Put 2, -2, t, -5 in ascending order.
-5, t, -2, 2
Let g = -14.9 + 15. Let i = -10.5 + 31. Let s = i - 21. Put g, -3, s in ascending order.
-3, s, g
Let b = -78 - -97. Sort b, -3, 5, -1 in decreasing order.
b, 5, -1, -3
Let d(o) = 2*o**2 + 2*o + 1. Let a be d(-1). Suppose 17 = 5*y - t - 10, 2*y + 5*t - 27 = 0. Let m = 6 + -7. Sort a, m, y in decreasing order.
y, a, m
Let r = 534 - 534. Sort r, 2, -1, 15.
-1, r, 2, 15
Let d be (-171)/(-15) + 8/(-20). Suppose 0 = 2*c - 5*c + 36. Suppose -14*g = -d*g + c. Sort -2, 2, g in descending order.
2, -2, g
Let s be (-1334)/(-1771) - 8/14. Let j be (28/(-6) - -1) + 0. Sort -5, j, s in decreasing order.
s, j, -5
Suppose -26*v + 15*v + 11 = 0. Sort v, 4, -25 in increasing order.
-25, v, 4
Let j = 575 + -575.1. Put -4, j, 2/19, 12 in decreasing order.
12, 2/19, j, -4
Let k = 1 + -0.85. Let q be 3*16/36*-3. Let d = -471 + 471. Put q, k, d in decreasing order.
k, d, q
Let c be 0/((-1)/(5/(2 + 18))). Put c, 378, 1 in descending order.
378, 1, c
Let c = 2 + -89. Let y = c - -88. Put 2/7, 0.17, y in increasing order.
0.17, 2/7, y
Let q = 1 - 1. Let l be 99/(-21) - 8/28. Put q, 3, l in increasing order.
l, q, 3
Let h(s) = s**3 - 14*s**2 + 7*s + 18. Let g be h(14). Let y = g + -111. Let w = 2 - 2. Sort y, -1, w in decreasing order.
y, w, -1
Let u be 5/(210/96) + -2. Let d be (10/11)/(-5)*1. Put -2/5, u, 3, d in ascending order.
-2/5, d, u, 3
Let b be -2*(-1)/(-2)*0. Let r be 9/4 - 1/4. Suppose 19*x + 5*l = 14*x + 30, x - 4*l + 4 = 0. Sort x, r, b in ascending order.
b, r, x
Suppose 0 = 3*c - 4*p + 19, -2*p + 4 = -2*c - 6. Let h(i) = 2*i**3 - 31*i**2 + 22*i - 93. Let j be h(15). Sort -2, j, c.
-2, c, j
Let v = 1.2 + -16. Sort -0.2, v, -4, -5.
v, -5, -4, -0.2
Let b = -9.64 + 3.64. Sort 1/7, b, 3, 0 in ascending order.
b, 0, 1/7, 3
Let f = 145 - 140. Sort 1, 0, f, 2 in decreasing order.
f, 2, 1, 0
Let w = -157 + 153. Sort -9, 4, -1, w in decreasing order.
4, -1, w, -9
Let c = -230.0397 + 0.0397. Let l = c - -219.9. Let u = l - -10. Put -2/7, u, 1/4 in ascending order.
-2/7, u, 1/4
Let c(l) = -46*l**3 - l - 7 - 7*l**2 + 8*l + 47*l**3. Let w be c(6). Suppose -n - 3 + 1 = 0. Sort 2, n, w in descending order.
2, w, n
Let o = 393 + -398. Sort 7, -3, 5, o in ascending order.
o, -3, 5, 7
Suppose -17*s + 10*s + 14 = 0. Put 4, s, -25, -1 in descending order.
4, s, -1, -25
Let o = 2 + -4. Let z be (-3 - 1)/(4 - 16/3). Suppose 2 = z*q + 2. Put q, o, 5 in descending order.
5, q, o
Let j = -0.04 - -0.44. Suppose 8 + 12 = 5*r. Let y = r - 5. Sort j, -0.3, y in decreasing order.
j, -0.3, y
Let z = -202 - -197. Sort 0.5, -0.4, 14, z.
z, -0.4, 0.5, 14
Let x = 18 + -2. Put -5, -8, x in ascending order.
-8, -5, x
Let q be ((-32)/(-68))/4 + (-2945)/323. Put 6, 0, q, 0.4 in increasing order.
q, 0, 0.4, 6
Let n = -1770 - -1923.8. Let v = n + -154. Sort 2/9, v, -26.
-26, v, 2/9
Suppose 20 = 5*n, -3*n + 15 - 1 = i. Sort -2, i, -1, 4.
-2, -1, i, 4
Let k = -8 - -6. Let h be (12/(-15))/((-7)/5 - -1). Let n = 1124/9 - 125. Put n, k, h in decreasing order.
h, n, k
Suppose -4*o + 16*o - 36 = 0. Sort -12, 0, o in ascending order.
-12, 0, o
Let x = -50 + 54. Suppose -5*s = -4*u + 25, 4*u = 2*u - 5*s + 5. Suppose -u*v + 28 = 3. Put -3, x, v in descending order.
v, x, -3
Let g(o) = o**2 + 4*o - 6. Let y be g(-6). Suppose 5*i - 19 - y = 0. Put i, -2, -0.6 in descending order.
i, -0.6, -2
Let w = 13 + -12.91. Let n = -21 - -21.11. Let g = n + w. Put g, 0.4, 4 in ascending order.
g, 0.4, 4
Suppose 0 = d - 4*s + 2 + 1, -2*d + 8 = -s. Sort d, 210, 4 in increasing order.
4, d, 210
Suppose 0 = -5*x + 18*x. Sort -3, -17, x in decreasing order.
x, -3, -17
Let f(g) = g**2 + 32*g - 111. Let m be f(-35). Put m, 3, 1 in descending order.
3, 1, m
Let o = -612 + 612.1. Let g = -0.04 + 3.04. Put -0.2, g, -0.5, o in descending order.
g, o, -0.2, -0.5
Let m = -45.77 - -46. Let x = m - -0.07. Put x, 0.2, 0, 0.5 in decreasing order.
0.5, x, 0.2, 0
Let k be -9 + (-2)/(20/(-70)). Suppose -3*a + 8 = -1. Sort -19, a, k.
-19, k, a
Let m be 276/36*6/2. Suppose m*o = 24*o. Put o, 21, 2 in increasing order.
o, 2, 21
Let r(q) = 2*q**3 - 7*q**2 + 10. Let h be r(3). Sort h, 6, -5 in decreasing order.
6, h, -5
Let v = -105.4 + 93.59. Let x = 1.51 + v. Let w = x - -10. Put -4, 4, w in decreasing order.
4, w, -4
Let g = 8988 + -8983. Suppose 48 = 5*i + 4*t - 20, -46 = -3*i - 5*t. Put i, 2, g, -3 in descending order.
i, g, 2, -3
Let i(n) = -n**2 + 17*n - 51. Let z be i(6). Suppose 0 = 30*v - 33*v + z. Put v, -5, 13 in decreasing order.
13, v, -5
Let n be (-14)/28*(0 + -6). Let w(u) = -u**2 + 2*u + 4. Let b be w(-2). Put n, b, 2 in descending order.
n, 2, b
Let j be (0/(4 + -1))/(-2). Let f = -0.46 + -0.04. Sort 23, f, -2/17, j in descending order.
23, j, -2/17, f
Let l = -12 - -19. Let u(r) = -r**2 - 3*r + 131. Let d be u(-13). Sort -2, l, d in descending order.
l, d, -2
Let b(t) be the second derivative of t**5/20 - 3*t**4/4 + t**3/6 - 13*t**2/2 - 10*t. Let l be b(9). Sort l, 5, -3 in decreasing order.
5, -3, l
Let b be (4/10)/((-3)/15). Suppose -14*r = 6*r - 60. Put -3, b, 0, r in decreasing order.
r, 0, b, -3
Suppose -21*r = 2*c - 22*r + 7, 3*c - 2*r = -10. Let x(b) = b**2 + 6*b + 2. Let m be x(-6). Sort 3, -1, m, c.
c, -1, m, 3
Let x = -329 + 346. Put -5, x, 4, -3 in ascending order.
-5, -3, 4, x
Let r = -9 - -7. Sort r, 2, 0.02, -5 in decreasing order.
2, 0.02, r, -5
Let u(z) = 2*z - 4. Let x be u(5). Let s = 3531 + -3532. Put s, 5, x in descending order.
x, 5, s
Let j(r) = -r**3 - 4*r**2 + 13*r + 6. Let q be j(-6). Let b be ((-110)/(-44))/((1 - q)/(-2)). Sort 1, b, -3, 3 in ascending order.
b, -3, 1, 3
Suppose 23 - 39 = d - 5*z, 5*d + 34 = 2*z. Sort -3, -4, d, 4 in increasing order.
d, -4, -3, 4
Let g(w) = -42*w**2 - 252*w - 1. Let x be g(-6). Let u = -9 + 4. Put 2, x, u, -4 in descending order.
2, x, -4, u
Let f = -0.01 + 9.01. Let p = 8.92 - f. Let d = 0.13 + p. Put d,
|
{
"pile_set_name": "DM Mathematics"
}
|
281239.
17
Calculate the greatest common divisor of 42119 and 91.
7
What is the greatest common divisor of 152701 and 311?
311
What is the greatest common factor of 4122 and 36?
18
Calculate the highest common divisor of 2533882 and 164.
82
What is the highest common factor of 159294 and 53376?
834
Calculate the highest common factor of 426 and 1182.
6
Calculate the greatest common factor of 3616 and 57696.
32
Calculate the highest common factor of 42922 and 55.
11
What is the greatest common factor of 1254 and 1824?
114
Calculate the greatest common factor of 6000 and 972.
12
What is the highest common factor of 42 and 1037610?
42
Calculate the highest common factor of 38675 and 13175.
425
Calculate the highest common factor of 28782 and 2583.
369
Calculate the highest common divisor of 22 and 914419.
11
What is the greatest common divisor of 126 and 23454?
18
Calculate the highest common divisor of 513 and 253574.
19
What is the greatest common divisor of 10945624 and 8?
8
What is the highest common factor of 120601 and 13?
13
Calculate the greatest common divisor of 9035 and 8618.
139
Calculate the highest common factor of 15873 and 87.
3
What is the greatest common factor of 399681 and 135?
27
Calculate the greatest common factor of 260 and 4554680.
260
Calculate the highest common divisor of 290 and 282344.
58
What is the highest common factor of 1450416 and 3280?
656
Calculate the highest common factor of 7161 and 140294.
77
Calculate the highest common factor of 1300 and 23500.
100
Calculate the greatest common factor of 15562 and 24598.
502
Calculate the highest common divisor of 1322 and 10.
2
Calculate the highest common divisor of 50 and 5531025.
25
What is the greatest common divisor of 8944 and 30272?
688
Calculate the highest common divisor of 375 and 27625.
125
What is the greatest common factor of 58519 and 139?
139
What is the highest common factor of 384 and 17268?
12
What is the highest common divisor of 836 and 297671?
11
Calculate the greatest common factor of 12 and 94254.
6
What is the greatest common factor of 232179 and 1203?
1203
Calculate the greatest common divisor of 338 and 244010.
26
Calculate the greatest common divisor of 17 and 1079075.
17
What is the highest common factor of 341 and 8888?
11
Calculate the greatest common divisor of 614040 and 245.
35
What is the highest common factor of 1424 and 2179432?
712
What is the greatest common factor of 215021 and 1219?
53
Calculate the greatest common divisor of 1950 and 1924.
26
Calculate the highest common divisor of 207 and 1583688.
69
What is the highest common divisor of 110 and 182670?
10
Calculate the greatest common divisor of 5 and 292935.
5
Calculate the greatest common divisor of 188608 and 728.
56
What is the highest common factor of 9 and 37143?
9
What is the highest common divisor of 2 and 1131934?
2
What is the highest common divisor of 290521 and 374?
11
Calculate the greatest common factor of 26753 and 19849.
863
What is the greatest common factor of 4112 and 60?
4
Calculate the highest common factor of 105108 and 4332.
228
Calculate the greatest common factor of 37830 and 705.
15
Calculate the highest common divisor of 12152 and 19992.
392
What is the highest common factor of 58501 and 133?
19
Calculate the greatest common factor of 255 and 1921.
17
Calculate the greatest common divisor of 30873 and 1599.
123
Calculate the highest common divisor of 352 and 40051.
11
Calculate the greatest common divisor of 4 and 41466.
2
Calculate the highest common factor of 9054 and 2515.
503
Calculate the highest common divisor of 345914 and 19.
19
What is the highest common factor of 954477 and 405?
27
Calculate the highest common factor of 995 and 716997.
199
What is the highest common factor of 172707 and 69?
69
Calculate the greatest common factor of 43092 and 13338.
1026
What is the highest common factor of 1604047 and 178?
89
Calculate the greatest common divisor of 24 and 9876.
12
Calculate the highest common factor of 800 and 23050.
50
What is the greatest common divisor of 1652 and 868?
28
Calculate the highest common divisor of 1339890 and 3540.
1770
What is the greatest common factor of 7812 and 3654?
126
Calculate the highest common factor of 4375120 and 1360.
1360
Calculate the highest common divisor of 204 and 138132.
12
Calculate the highest common divisor of 105 and 1061655.
105
What is the highest common factor of 7434 and 37566?
18
Calculate the greatest common factor of 3054072 and 1908.
636
What is the greatest common factor of 1095 and 4425?
15
Calculate the greatest common divisor of 62 and 15562.
62
Calculate the greatest common factor of 8438 and 22.
2
What is the highest common factor of 1092 and 220164?
84
What is the highest common divisor of 2308780 and 8?
4
What is the highest common divisor of 64 and 15536?
16
Calculate the greatest common divisor of 1369253 and 397.
397
What is the greatest common factor of 4192 and 4912?
16
What is the greatest common factor of 1819 and 8988?
107
What is the greatest common factor of 34048 and 21812?
532
What is the highest common divisor of 55610 and 1328?
166
What is the greatest common factor of 58595 and 10?
5
Calculate the greatest common factor of 102843 and 1053.
351
Calculate the highest common divisor of 19 and 2753081.
19
What is the greatest common divisor of 59584 and 15124?
76
Calculate the highest common factor of 2873 and 143.
13
Calculate the highest common factor of 7797289 and 2122.
1061
Calculate the greatest common factor of 598 and 49933.
299
Calculate the highest common divisor of 53747 and 142.
71
Calculate the greatest common divisor of 60 and 37212.
12
What is the highest common divisor of 225712 and 64?
16
Calculate the greatest common divisor of 42432 and 8398.
442
What is the highest common factor of 21351 and 2269029?
1941
Calculate the highest common factor of 464 and 2255504.
464
What is the highest common factor of 98 and 138474?
98
What is the greatest common divisor of 2210 and 9690?
170
Calculate the greatest common divisor of 55704 and 3165.
633
Calculate the greatest common divisor of 1633 and 5893.
71
What is the highest common factor of 78550 and 20?
10
What is the highest common divisor of 304 and 823612?
76
What is the greatest common divisor of 22 and 352880?
22
Calculate the highest common divisor of 649 and 1180.
59
Calculate the greatest common factor of 177 and 111.
3
What is the highest common factor of 8 and 265492?
4
Calculate the greatest common divisor of 5406 and 4134.
318
Calculate the greatest common divisor of 7029 and 657.
9
What is the highest common factor of 10922139 and 603?
603
Calculate the greatest common factor of 1240 and 4040.
40
What is the highest common factor of 121 and 8646?
11
Calculate the highest common factor of 69324 and 1696.
212
What is the highest common factor of 7805 and 35?
35
What is the highest common factor of 2112 and 165264?
528
What is the greatest common divisor of 34986 and 102?
102
What is the highest common factor of 228 and 42332?
76
Calculate the highest common factor of 81787 and 663.
17
Calculate the greatest common divisor of 672 and 1491.
21
Calculate the highest common factor of 8 and 23228.
4
What is the highest common divisor of 17918 and 1751?
17
Calculate the greatest common factor of 14259 and 245.
49
Calculate the highest common factor of 173 and 153278.
173
What is the greatest common factor of 101269 and 966?
161
What is the greatest common divisor of 450 and 482?
2
Calculate the highest common factor of 6761975 and 737.
737
What is the greatest common factor of 9701 and 53519?
109
What is the greatest common divisor of 4674 and 14104?
82
Calculate the highest common factor of 6794 and 4558.
86
What is the highest common divisor of 3012 and 135791?
251
Calculate the greatest common divisor of 233064 and 168.
24
What is the highest common factor of 233709 and 8029?
217
Calculate the greatest common divisor of 36344 and 190344.
616
Calculate the highest common divisor of 322885 and 5.
5
Calculate the greatest common factor of 69 and 12098.
23
Calculate the highest common divisor of 102060 and 1860.
60
Calculate the greatest common factor of 3402 and 1260.
126
What is the greatest common fa
|
{
"pile_set_name": "DM Mathematics"
}
|
w.
4
Let y = -22 + 34. Let f = y + -4. Let m be 4/(-8)*(2 - f). Solve -2*g = m*g for g.
0
Let r(g) = 7*g**2 - 21*g + 5. Let k be r(4). Solve -k + 25 = -2*o for o.
4
Suppose -23*u = -13*u - 90. Solve 0 = -2*r + u - 3 for r.
3
Let b(a) = -15*a**2 - 1. Let m be b(-1). Let g(p) = p**3 + 17*p**2 + 17*p + 19. Let l be g(m). Solve r - l = -1 for r.
2
Suppose 0*r = -4*r + 20. Suppose -6*d = r*v - 3*d + 30, -2*v = 5*d + 31. Let f be (-3)/(v - 0) + -1. Solve f = 5*t - 0*t for t.
0
Suppose 54 = -10*p + 16*p. Solve p + 0 = -9*a for a.
-1
Suppose -127*p + 77*p + 400 = 0. Solve 17 = -p*n - 15 for n.
-4
Suppose -4 = i - 3*i, -10 = -2*k - 5*i. Solve 5*p - 49 + 59 = k for p.
-2
Let l be 30/18 + 4/(-6). Let h be l*(2 - 5)/(-1) + 13. Solve 0 = 3*o + o + h for o.
-4
Let q(y) = y**3 - 15*y**2 + y - 11. Let o be q(15). Suppose 0 = -2*w + w + o*w. Solve w = 5*u - 2*u + 12 for u.
-4
Let t be (-420)/(-98) - (-2)/(-7). Suppose 10 = -25*d + 30*d. Solve 0 = t*i + 10 + d for i.
-3
Let g be (-4)/12*0 + 1 + -2. Let u(z) = -2*z + 1. Let f be u(g). Solve f = 2*h - 3 for h.
3
Let x be (-14)/35 + 237/5. Let d = -42 + x. Solve 0 = c - 3 + d for c.
-2
Suppose -6 + 0 = -6*u. Let p be u - ((-1 - 3) + 10). Let q(t) = -t**3 - 5*t**2 - t - 1. Let n be q(p). Solve 3*m + n = 7*m for m.
1
Let g = -32 + 35. Solve 5*w - 23 = -g for w.
4
Let b be (1 - -13)*22/77 - 4. Solve -7*s + b*s = 0 for s.
0
Let l be (440/(-77))/(2/(-7)). Solve 0*v = 4*v - l for v.
5
Let o be 15/(-6)*(-12)/10 - 0. Solve -o*n + 2*n + 4 = 0 for n.
4
Let c(z) = 5*z**2 - 60*z + 2. Let u be c(12). Let l(f) = 2*f**2. Let n be l(1). Solve 8 = n*t + u for t.
3
Let n = -13 - -19. Let g(x) = x**2 - x - 7. Let v be g(n). Suppose h - v = -4*d, 0*d + 8 = d + h. Solve -p - 4 = -d*p for p.
1
Let z(x) = -x**2 + 15*x - 15. Let l(y) = -2*y + 12. Let k be l(0). Let g be z(k). Let s = 21 - g. Solve s*o - 5*o = 0 for o.
0
Suppose 3*y = -i + 9, -2*y - i = -3 - 3. Let h be (-1 - -3 - -1)*1. Suppose 2*p - 18 = h*r - 76, -p = 3*r - 61. Solve o + y*o + r = 0 for o.
-5
Let b = 37 + -14. Let j = b + -21. Suppose 7 + 3 = 5*l. Solve l + 8 = j*d for d.
5
Let t = 109 - 156. Let h = t + 49. Solve h + 8 = 5*n for n.
2
Let q(b) = -b. Let w be q(0). Let i be (-121)/22*(-3 - (-1 + w)). Solve -1 = 5*y - i for y.
2
Suppose -1 + 7 = 2*w. Let p be ((-3)/(-9) + 10/6)*2. Solve 0 = s + w*s - p for s.
1
Let g be (-2*2)/2 - 4. Let j = 5 + g. Let d be (2 + j - -9)/2. Solve 4*a = -1 + d for a.
1
Let g(p) = p**3 - 2*p**2 + p + 1. Let q be g(2). Solve -q*u - 3*u = -30 for u.
5
Let w = -13 + 10. Let c be 1 - (2 + w)/1. Suppose a - c = -0*a. Solve a*d - 4 = -0 for d.
2
Let j be 1*-2*1*3976/(-112). Let n = j + -71. Solve n = -5*a + 2*a + 6 for a.
2
Let g = 7 + -7. Suppose 6*h + 0*h - 12 = g. Solve -h*j + 7 + 3 = 0 for j.
5
Suppose 16 = 2*o + 2*o. Let k be 3 + o + -1 + -2. Solve 0*r = 4*r - k for r.
1
Let k = -516 - -516. Solve 0 = 2*v + 6 - k for v.
-3
Suppose -25*c + 23*c = -8. Suppose c*o - 35 = -3*l, 2*l + 0*l - 22 = -2*o. Solve 0 = -0*i - 3*i + l for i.
3
Let n(m) = -m**3 + 3*m**2 + 7*m + 1. Let u be n(4). Let s be 2/u - 400/(-104). Solve -9 + 1 = -s*h for h.
2
Let l(q) be the third derivative of 0*q**3 - 1/120*q**6 + 0*q**5 + 0*q + 1/24*q**4 + 0 + 8*q**2. Let x be l(-1). Solve x = -0*o - o + 5 for o.
5
Suppose -w - 2*p = 0, -w + 3*p = 2*w. Solve w = 3*n - 7 + 1 for n.
2
Let v = -51 + 23. Let a = 48 + v. Solve a = -6*i + 2*i for i.
-5
Let p(l) = 0*l - 4*l + 3 + l. Let t be p(0). Solve t*a + 2 = 17 for a.
5
Let l = 371 - 367. Solve -l*t - 6 = -18 for t.
3
Let s(l) = l**2 + 8*l - 9. Let z be 2 + (-9 - (-4)/(-2)). Let y be s(z). Solve y = 3*a - a + 6 for a.
-3
Let n = 0 - -1. Let d = -1 - 2. Let s be 4/(4 + d/n). Solve b = -s*b - 20 for b.
-4
Suppose v + 1 = -2*b, b - 3*v - 8 = 2*b. Let z(j) = 18*j + 2. Let u be z(1). Let g be (-6)/4 + 5/(u/14). Solve g*n = 3*n + b for n.
-1
Suppose 0*x = 5*x - 40. Suppose 0 = 2*u - x + 2. Let z be (-4)/((-44)/(-20) - u). Solve 10*p - 15 = z*p for p.
3
Let c(a) = 9*a + 381. Let k be c(-42). Let o be (-2)/(-2*1/5). Solve o*t + 2 = -k for t.
-1
Let d be (21/15 + -2)/((-3)/15). Solve 2*v - 2 = d*v for v.
-2
Let w(y) = -y**2 - 27*y + 38. Let a be w(-28). Solve -56 + 6 = a*d for d.
-5
Suppose 3 = -33*r + 34*r. Suppose -r*p - 2*p + 10 = 0. Suppose p*s - 20 = -3*s. Solve 0*y = 4*y - s for y.
1
Let y be 4/6 + 767/177. Solve y*w - 5 + 15 = 0 for w.
-2
Let p(d) = 9*d - 10. Let m(w) = -4*w + 5. Let j(k) = 7*m(k) + 3*p(k). Let h be j(2). Solve c = h*c + 10 for c.
-5
Let p(t) = -3*t**2 + 20*t**2 - 2*t + 46 + 3*t**2 - t**3. Let u be p(20). Solve 3*a + 3 = u for a.
1
Let u = 56 + -53. Suppose -2*q = u*q - 10. Solve 0 = q*z - 5 + 1 for z.
2
Suppose 83*o + 60 = 95*o. Solve -5 = -o*b + 10 for b.
3
Suppose -4*u + p - 1 = 0, 4*p - 7 = -4*u - 3. Suppose -4*w + 3*w + 6 = u. Let n be (0/(-3))/(2 + -1). Solve w*a - a = n for a.
0
Let c(s) = -s**3 - 22*s**2 + 24*s + 26. Let p be c(-23). Let u(t) = t**3 - 5*t**2 + 2. Let a be u(5). Solve a*w = p*w for w.
0
Let s be (-1 + 55/15)*(-3)/(-4). Solve 0 = -s*f + 4 + 2 for f.
3
Let m be (-5)/(-25)*35 + -6. Solve -18*d + 17 + m = 0 for d.
1
Let i be (-4)/(-7) + ((-51)/(-21) - 3). Solve l + i*l + 5 = 0 for l.
-5
Suppose -12 = 2*a - 4*o, 5*a - 91*o - 3 = -92*o. Solve a = 5*y - 14*y - 18 for y.
-2
Let n be 35/4 + 1/4. Suppose 0 = -6*w + n*w - 6. Suppose -3*d + 4*c = w*d - 10, 3*d = 5*c - 7. Solve -i + 4*i = d for i.
2
Let v(t) = 4*t - 213. Let m be v(56). Solve m + 1 = 3*s for s.
4
Suppose -2*u + 3*c + 8 + 1 = 0, -3*u + c = -3. Solve u = -5*o - 0 for o.
0
Let v = -209 - -212. Solve v*h + h = -8 for h.
-2
Suppose -m + 1 = 2. Let c(r) = -25*r**2 + 1. Let q be c(m). Let w = 25 + q. Solve -o + 4 + w = 0 for o.
5
Suppose -3*n - 4*j = -11, 2*n = -n + 4*j + 19. Suppose 66 = n*y - 29. Let d = -13 + y. Solve -v = v + d for v.
-3
Let r be 27/36 + 18/8. Solve 0 = 39*z - 38*z - r for z.
3
Suppose -o = 21*o - 814. Solve 31*w - 18 = o*w for w.
-3
Suppose -3*o - 2*f = -129, -4*f + 31 = -2*o + 101. Solve 36*u = o*u for u.
0
Suppose -5*z - y = -102, y + 54 = 3*z - 2*y. Solve -b + 5*b + z = 0 for b.
-5
Suppose 26*o - 288 - 50 = 0. Solve -4 = 14*m - o*m for m.
-4
Let o = -50 + 28. Let a = 24 + o. Solve 2*d - 12 + a = 0 for d.
5
Suppose -3*f + 2*z = 4*z - 4, -2 = -4*f - z. Suppose 7*d - 2*d - 40 = f. Let c = d + -4. Solve 4*g = c - 12 for g.
-2
Suppose -215*o + 100 = -211*o. Solve 2*q = 21 - o for q.
-2
Let m(w) = -15*w + 38. Let r be m(2). Solve -4 + r = a for a.
4
Let k(i) = -i**3 - 5*i**2 - i + 5. Let f be k(-5). Suppose d = -2*w + 2, 4 = 2*d - 18*w + 14*w. Solve 2 = -d*y + f for y.
4
Suppose -4*w + 34 = 2. Let d(n) = 6*n - 48. Let o be d(w). Solve o - 20 = 5*l for l.
-4
Suppose 25 = 4*s + 5. Suppose 0 = s*l + 9 + 1, 0 = -b + 5*l + 21. Let u = -5 + b. Solve 3 = -g + u for g.
3
Let v be (-6)/(24/(-14)) - 6/4. Solve v*a + 14 = 6 for a.
-4
Let l = 202 + -104. Let z = 106 - l. Solve 3*o + o = z for o.
2
Let i(q) = -q**2 + 11*q - 14. Let f be i(9). Let k(v) = 2*v**2 - 3*v + 3. Let o be k(2). Solve o*j = f*j for j.
0
Let x(n) = n**2 - 6*n + 15. Let c be x(6). Let v be 7/7 - -1*5. Suppose g - 4*k + v = c, -4*k = 8. Solve 9 = 4*w + g for w.
2
Suppose 4*t = j - 13, -3*t + j - 11 = -j. Let b be 216/52 + t + (-37)/(-13). Solve r = -b*r for r.
0
Let s be ((-1)/(1/4))/1. Let c be (13 + -5)*(7/s + 2). Solve -q + c = -2 for q.
4
Let b(c) be the first derivative of -1/3*c**3 + 5*c + 3 + 1/4*c**4 + 1/2*c**2. Let v be b(0). Solve v = 5*t - 20 for t.
5
Let z = -16 + 12. Let f be 1 - 12/(-16)*z. Let q(n) = -n**3 - n**2 + 2. Let r be q(f). Solve -v - r = -4*v for v.
2
Suppose -90 = -74*w + 65*w. Solve 0 = 15*u - w*u - 25 for u.
5
Let k(t) = t - 5. Let h be k(-6). Let u(n) be the third derivative of n**5/60 + 3*n**4/8 - 5*n**3/3 + 7*n**2. Let y be u(h). Solve 0 = o - 4*o - y for o.
-4
Let a(x) = -2*x**3 - 15*x**2 + 7*x + 5. Let o be a(-8). Solve o*h - 15*h - 2 = 0 for h.
-1
Let d(f) = -f**3 + 9*f**2 - 2*f + 22. Let v be d(9). Solve -v*a + 11 = 31 for a.
-5
Let c be (-1)/((-5)/7 + 6/(-21)). Suppose 3*s - 10 = -c. Solve s = j - 2 for j.
5
Let c = -785 - -805. Solve 5*g - 75 = c*g for g.
-5
Suppose 0 = -4*k + 2*p + 36, 0 = -2*k + 4*p + 13 + 17. Solve -2*o + k = 5 for o.
1
Let c = -2 + 3. Suppose -l = 3*a - 2, -5*a - 4*l - 37 + 45 = 0. Solve a = -2*w + c + 7 f
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
11, 4, -1, -3, -4, -70
Sort -0.4, -6/31, 5, -2, 0.6 in descending order.
5, 0.6, -6/31, -0.4, -2
Put -3/2, -8, -4, 1.01, 0.4 in increasing order.
-8, -4, -3/2, 0.4, 1.01
Put 1, 5, -1, 2, 115 in ascending order.
-1, 1, 2, 5, 115
Put -21, 3, -0.1, -1, 0, -0.4 in descending order.
3, 0, -0.1, -0.4, -1, -21
Put -2/3, -9446, 0.05 in decreasing order.
0.05, -2/3, -9446
Sort 1488, 7, -1 in ascending order.
-1, 7, 1488
Sort -10, 132, -80, -4, 4 in decreasing order.
132, 4, -4, -10, -80
Sort -2, -3.45, 61/5 in increasing order.
-3.45, -2, 61/5
Put -2/413, -434, -1 in descending order.
-2/413, -1, -434
Sort 2, 5, -562, -2, -1 in decreasing order.
5, 2, -1, -2, -562
Sort 0.5, 0.7, -0.28 in decreasing order.
0.7, 0.5, -0.28
Sort -11, -3, 2642.
-11, -3, 2642
Put -17, 141, 12, 0 in ascending order.
-17, 0, 12, 141
Put -4, 6, -10, -3 in descending order.
6, -3, -4, -10
Put 0, -5, -17135, 7 in increasing order.
-17135, -5, 0, 7
Put -3, 0.48364, 4 in ascending order.
-3, 0.48364, 4
Sort 2, -33, -33813 in decreasing order.
2, -33, -33813
Sort -0.18, -246, -5/2, 1/5 in increasing order.
-246, -5/2, -0.18, 1/5
Sort -16, -0.005, -23/5, 0.2, -1/7 in descending order.
0.2, -0.005, -1/7, -23/5, -16
Sort -42, 2, -3, -94, 3 in increasing order.
-94, -42, -3, 2, 3
Sort -0.651, 5, 0.14.
-0.651, 0.14, 5
Put -5, 4, 10, -584, 0 in descending order.
10, 4, 0, -5, -584
Sort -15, 1/4, -2, 5, 2 in decreasing order.
5, 2, 1/4, -2, -15
Sort -1/3, -0.3, -3197, 153 in decreasing order.
153, -0.3, -1/3, -3197
Sort -288, -228, 5, 3 in ascending order.
-288, -228, 3, 5
Put -293, 3, 15 in decreasing order.
15, 3, -293
Sort -0.154, -1, -3/19, -0.3, 0.4 in decreasing order.
0.4, -0.154, -3/19, -0.3, -1
Sort -18582, 3/2, 2, 7 in descending order.
7, 2, 3/2, -18582
Sort -17, -2, -3, 2, 0, -35 in increasing order.
-35, -17, -3, -2, 0, 2
Put 1, 0.087, 2/7, -2, -1/2 in ascending order.
-2, -1/2, 0.087, 2/7, 1
Put -3/2, -18, 5, -5, 51 in descending order.
51, 5, -3/2, -5, -18
Put -2, 3, -5, -650 in increasing order.
-650, -5, -2, 3
Sort -1, -32969, 30, 1.
-32969, -1, 1, 30
Put 3.8, -0.5, -3, -0.2, 1 in decreasing order.
3.8, 1, -0.2, -0.5, -3
Put -2083, 5, -186 in decreasing order.
5, -186, -2083
Sort 44, 0.5, 0.067, 2/13.
0.067, 2/13, 0.5, 44
Sort 9/8, -0.5, 3, 11, 2/5 in increasing order.
-0.5, 2/5, 9/8, 3, 11
Sort 1.204, 0.4, 0.05, -3/4.
-3/4, 0.05, 0.4, 1.204
Sort 1159, 315, 4 in descending order.
1159, 315, 4
Sort -4, 1/5, -0.2, 5, -0.415, -3 in increasing order.
-4, -3, -0.415, -0.2, 1/5, 5
Sort -40, 13, 1, 3 in descending order.
13, 3, 1, -40
Sort -54, 1, 29, 3, 6, -2 in decreasing order.
29, 6, 3, 1, -2, -54
Put -2/16819, 8, -2/7 in descending order.
8, -2/16819, -2/7
Put -1, -2, 0, 1206 in increasing order.
-2, -1, 0, 1206
Sort -4, -1, -699, 18.
-699, -4, -1, 18
Sort 0, 16, 172, -1, -2, 5 in ascending order.
-2, -1, 0, 5, 16, 172
Put -3, -29, -5, -924, 5 in descending order.
5, -3, -5, -29, -924
Put -2/9, -2/13, 3/7, 2/13, 0, 14 in decreasing order.
14, 3/7, 2/13, 0, -2/13, -2/9
Sort 4, -2601, 5 in descending order.
5, 4, -2601
Sort -1, 4.29, -2, -4 in increasing order.
-4, -2, -1, 4.29
Put -56, 54, 5, 4 in decreasing order.
54, 5, 4, -56
Sort -3, 9, 3, 542, -4, 0.
-4, -3, 0, 3, 9, 542
Put -2, 2252, -3 in increasing order.
-3, -2, 2252
Sort 199, 72, -0.6 in descending order.
199, 72, -0.6
Put -247, 0, -31 in ascending order.
-247, -31, 0
Sort -4, 0, 27, -11 in increasing order.
-11, -4, 0, 27
Put -236, 1, -33, 6, -4 in increasing order.
-236, -33, -4, 1, 6
Put -5, 47, 0, 1, 24 in increasing order.
-5, 0, 1, 24, 47
Sort -574, 2, 3 in ascending order.
-574, 2, 3
Sort 48, 5, -1, 14, -5, -3 in decreasing order.
48, 14, 5, -1, -3, -5
Sort 0.033, 1/873, 3 in ascending order.
1/873, 0.033, 3
Put 3/5, -1555, -0.24 in decreasing order.
3/5, -0.24, -1555
Put 5, -7, 59, -2, -5 in increasing order.
-7, -5, -2, 5, 59
Sort -8, 3, 1, -5, 8 in decreasing order.
8, 3, 1, -5, -8
Sort -27, -995, 4 in decreasing order.
4, -27, -995
Put -1, 4, 2, 6, -29, -11 in descending order.
6, 4, 2, -1, -11, -29
Put 2, -13, 1/7, 0.1, 0.02, -52/3 in ascending order.
-52/3, -13, 0.02, 0.1, 1/7, 2
Sort -5, -1/336, -20, 2/3, -3, 1/7 in decreasing order.
2/3, 1/7, -1/336, -3, -5, -20
Sort 1, 0, 3, -1152, -5, 267 in descending order.
267, 3, 1, 0, -5, -1152
Sort 1/4, 1/2, -96, -5 in descending order.
1/2, 1/4, -5, -96
Put 243, -57, 3, 1 in ascending order.
-57, 1, 3, 243
Sort 330, 3/8, -129/5, -6 in decreasing order.
330, 3/8, -6, -129/5
Sort 8, -5, -4, 10892 in decreasing order.
10892, 8, -4, -5
Sort -7, 4, 171, 33, -4 in decreasing order.
171, 33, 4, -4, -7
Sort 3/2, 0.2, 1, -0.18, 277 in descending order.
277, 3/2, 1, 0.2, -0.18
Sort -3, 2/15, 5, -2, -8/7, -39.
-39, -3, -2, -8/7, 2/15, 5
Sort 3, -129, -862 in decreasing order.
3, -129, -862
Put -4, -0.2, 38, 2/3, 0.3 in increasing order.
-4, -0.2, 0.3, 2/3, 38
Sort -4, 2, -530, 9, -4/5, -0.07 in descending order.
9, 2, -0.07, -4/5, -4, -530
Sort 2, 8842, 4, -2/3, 0, 5 in decreasing order.
8842, 5, 4, 2, 0, -2/3
Sort -71, -1, -13, -5 in descending order.
-1, -5, -13, -71
Put 2, 4, 1.6, -0.02, -0.06 in descending order.
4, 2, 1.6, -0.02, -0.06
Put 11, -2/7, 2, -3/2, -51, 2/17 in increasing order.
-51, -3/2, -2/7, 2/17, 2, 11
Sort -0.17, 14/33, 0, -0.4, -3 in decreasing order.
14/33, 0, -0.17, -0.4, -3
Sort -15, -128, 4, -1 in descending order.
4, -1, -15, -128
Sort 19, -2/151, -17 in decreasing order.
19, -2/151, -17
Put 26, 187, 62 in increasing order.
26, 62, 187
Sort 4, 3, -4, 1491, 0, 2.
-4, 0, 2, 3, 4, 1491
Sort -53, -1, 1, 43 in descending order.
43, 1, -1, -53
Put 1/9, 2/9, 2, -2/5, -1, -24 in ascending order.
-24, -1, -2/5, 1/9, 2/9, 2
Sort -8, -455, -24 in increasing order.
-455, -24, -8
Put -24, -1, -2, 4, 41 in ascending order.
-24, -2, -1, 4, 41
Sort -0.5, 162, -251 in descending order.
162, -0.5, -251
Put -1, 3, -3, -144498, -5 in descending order.
3, -1, -3, -5, -144498
Put 2, 4, -348141 in descending order.
4, 2, -348141
Put 0, -5, -460, 3, 4 in increasing order.
-460, -5, 0, 3, 4
Sort -1, -2, -0.387, -4.7.
-4.7, -2, -1, -0.387
Put -0.4, 0.081, 0.3, -3, 9 in ascending order.
-3, -0.4, 0.081, 0.3, 9
Sort -66, 0, -1/3, 4, 26, 3 in descending order.
26, 4, 3, 0, -1/3, -66
Put 0.1, -0.5, -4, -14444, -3 in decreasing order.
0.1, -0.5, -3, -4, -14444
Sort 1/7, 0.3, 3, -2, 12037.
-2, 1/7, 0.3, 3, 12037
Sort 0, 2615, 217 in descending order.
2615, 217, 0
Put 2, 17, -2, -1, 4, 23 in decreasing order.
23, 17, 4, 2, -1, -2
Put 0.3, -7, -87, 0.37 in descending order.
0.37, 0.3, -7, -87
Sort 0.1, -2, 191/2, 1 in descending order.
191/2, 1, 0.1, -2
Sort 2, 26, -7/4, -2, 3 in descending order.
26, 3, 2, -7/4, -2
Sort -3, 3, -239 in descending order.
3, -3, -239
Put -103, 32, 165 in increasing order.
-103, 32, 165
Sort 2, -4, 38713.
-4, 2, 38713
Sort 2, -4, -5, -8.
-8, -5, -4, 2
Put 29/2, 16, -10 in increasing order.
-10, 29/2, 16
Sort -4/9, -2/3, 883, 1/9 in ascending order.
-2/3, -4/9, 1/9, 883
Sort 0.6, -0.5, 35.5, -6, 1/4 in descending order.
35.5, 0.6, 1/4, -0.5, -6
Sort 0.3, 7, 11, 5, 0.03, -7.
-7, 0.03, 0.3, 5, 7, 11
Put 4, -7, -4, -40 in descending order.
4, -4, -7, -40
Put -3/5, 34, -5, 0.5, 1, -3 in increasing order.
-5, -3, -3/5, 0.5, 1, 34
Put -4, -5, -1, 1, -3 in descending order.
1, -1, -3, -4, -5
Sort 1, -4, -0.1, -3, 3, 238 in decreasing order.
238, 3, 1, -0.1, -3, -4
Sort -12, -0.5, 5, 14, -8 in descending order.
14, 5, -0.5, -8, -12
Sort 0.09, -0.06, 13, 1/13, -1/5 in decreasing order.
13, 0.09, 1/13, -0.06, -1/5
Put 0, 53, 189 in descending order.
189, 53, 0
Sort 4, 1, -5, -615, 5, 12 in decreasing order.
12, 5, 4, 1, -5, -615
Sort 4, -33, 20, -2/5, -19, 2/13 in descending order.
20, 4, 2/13, -2/5, -19, -33
Sort 0.1, -4/33, 5/3, -28, -0.3, 4.
-28, -0.3, -4/33, 0.1, 5/3, 4
Sort 3, -6, 68738 in decreasing order.
68738, 3, -6
Put -135, -454, 4 in descending order.
4, -135, -454
Sort 3, 1984, -2, -5.
-5, -2, 3, 1984
Sort -2, 4, -160, 2, 3, 55 in ascending order.
-160, -2, 2, 3, 4, 55
Put -9, 11, 1, 5, 0, -4 in descending order.
11, 5, 1, 0, -4, -9
Put -7, -2, -12 in descending order.
-2, -7, -12
Put 3, 1/7, 40, 1444, -4/5 in ascending order.
-4/5, 1/7, 3, 40, 1444
Sort 3/2, -3, 2, 100, 3/7 in decreasing order.
100, 2, 3/2, 3/7, -3
Put -0.3, -4/21
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is the second smallest value? (a) -1/12 (b) 1/2 (c) 0.4 (d) -12/13
a
What is the second biggest value in -2/13, 13, -5/3, 8?
8
Which is the fourth biggest value? (a) -1 (b) 18 (c) 26 (d) 3 (e) -2
a
Which is the biggest value? (a) 0.19 (b) -2/5 (c) 9 (d) -1
c
Which is the second smallest value? (a) 2 (b) -161 (c) -3
c
What is the biggest value in -0.3, 2, -0.03?
2
What is the third biggest value in 1/11, -0.3, -6, -2/43, -1/2?
-0.3
What is the fourth smallest value in 0.1, -11, -23, 1, 4?
1
What is the smallest value in -4, 139, -2/15?
-4
What is the second biggest value in 0.44, 2, 2/15?
0.44
What is the third biggest value in -4, -5/4, 23/3?
-4
What is the biggest value in -4, -5695, -5?
-4
Which is the second biggest value? (a) -5 (b) 2/339 (c) -15
a
What is the third smallest value in 1/6, -1/161, -0.009?
1/6
Which is the biggest value? (a) 17 (b) 1 (c) 0 (d) 5
a
What is the fourth biggest value in 0.02, 5, -2/13, 7?
-2/13
What is the second biggest value in -4, 0.06, -6, -3/7, 3/10?
0.06
What is the fourth biggest value in -2, 1, 5, 203?
-2
Which is the fourth biggest value? (a) 2/7 (b) 5 (c) -1/22 (d) 1
c
What is the second smallest value in -1/14, -2/7, -11, -1, -2?
-2
What is the second biggest value in 3, -2/37, 2/379?
2/379
Which is the biggest value? (a) 13 (b) 93 (c) 3 (d) -0.1
b
Which is the third biggest value? (a) 30 (b) 7 (c) -32
c
Which is the biggest value? (a) 0 (b) 41 (c) -0.013
b
Which is the smallest value? (a) 0 (b) -4 (c) -2 (d) 3/7
b
What is the fourth biggest value in -1.8, -0.3, -8, 0.4, -1?
-1.8
Which is the biggest value? (a) 69 (b) 3 (c) -0.1
a
What is the biggest value in 0.02, 0.4, 2, 132?
132
What is the third biggest value in -2/23, 1, -18, 5/2?
-2/23
What is the second biggest value in -2, -14/187, -0.1?
-0.1
What is the second smallest value in 3.71, -0.3, -1/5, -1?
-0.3
What is the third biggest value in -1/3, 1/13, 5, 3?
1/13
Which is the fourth smallest value? (a) 2/7 (b) 0.19 (c) 2/13 (d) 0.2
a
What is the fourth smallest value in 1/8, 0.7, -3, -1/6?
0.7
What is the smallest value in 11, -39, -1?
-39
Which is the third biggest value? (a) 0.071 (b) 10 (c) -1/2
c
Which is the third biggest value? (a) 3 (b) 2 (c) -1 (d) -0.7
d
Which is the biggest value? (a) 5 (b) -6/25 (c) -2/7
a
Which is the biggest value? (a) -0.1 (b) -0.2 (c) -1 (d) 0.14
d
Which is the second smallest value? (a) 9.3 (b) 0.06 (c) -1 (d) -5
c
What is the smallest value in 4/11, 0, 0.032?
0
Which is the fourth biggest value? (a) -1/10 (b) 0.15 (c) 1 (d) -3/4
d
Which is the second biggest value? (a) 1 (b) 4 (c) 1.5
c
Which is the fifth smallest value? (a) -0.03 (b) 3/4 (c) 1 (d) 5 (e) 2
d
What is the fourth smallest value in 2, 20/11, 0.7, -1?
2
What is the fourth smallest value in 1/13, -1/7, -3, 4, -0.04?
1/13
What is the third biggest value in -1/5, -1/4, 0.2, -45?
-1/4
What is the second biggest value in -2, -1/2, -0.3, 60, 1/6?
1/6
Which is the third smallest value? (a) 1/9 (b) -4 (c) 2/19 (d) -920
c
Which is the second smallest value? (a) 94 (b) 1/23 (c) -6/5
b
What is the fourth smallest value in 6, 0, 2/3, 1?
6
Which is the second smallest value? (a) 4/5 (b) -5 (c) -0.24
c
Which is the second biggest value? (a) -4 (b) -2/11 (c) 50
b
What is the second smallest value in -0.5, 0.3, 28, 4, 2/17?
2/17
Which is the second smallest value? (a) 0.008 (b) -2/11 (c) 0 (d) 1
c
What is the fourth biggest value in -2/9, 1/3, 0.09, 3?
-2/9
What is the biggest value in 10, 5, 0.5?
10
Which is the smallest value? (a) 2 (b) 1 (c) -3
c
What is the second biggest value in 9, 166, -3/4, 0, -0.5?
9
Which is the fourth smallest value? (a) 3 (b) -0.2 (c) 0.5 (d) 0 (e) -88
c
What is the biggest value in -0.4, -1, -11.5?
-0.4
Which is the biggest value? (a) 51 (b) 5/3 (c) 4
a
What is the third smallest value in -75, -3, -0.2, -0.3?
-0.3
What is the third smallest value in 2, 2/349, -3?
2
Which is the smallest value? (a) 12/31 (b) -3 (c) -1/4
b
What is the third biggest value in 1/4, 0, 1/2, -1, -10?
0
Which is the smallest value? (a) 9 (b) 105 (c) -5 (d) -1/12
c
What is the third biggest value in 3, 10, -5, -4?
-4
What is the fourth smallest value in 0.3, -5, 2/13, -2?
0.3
What is the fourth biggest value in -0.1, 109, 0.4, -2?
-2
What is the fifth smallest value in 5, -5, -0.16, 1, 3/4?
5
What is the second smallest value in -5, 2/21, 3, 4, -95?
-5
Which is the second smallest value? (a) -228 (b) -0.2 (c) -0.49
c
What is the biggest value in 181, -0.5, 4?
181
What is the third smallest value in 5/3, -28, 0.4?
5/3
Which is the fourth biggest value? (a) 0.04 (b) 20 (c) 6 (d) 2
a
Which is the fourth biggest value? (a) 0.5 (b) 1 (c) 0.011 (d) -2/11
d
Which is the second smallest value? (a) -1 (b) 5 (c) 3.4 (d) 0.2 (e) -3
a
What is the second smallest value in 6, -4, -6?
-4
What is the third biggest value in -155, -0.3, 3, -1, 0.2?
-0.3
What is the third biggest value in 1/2, -1/6, -0.39, -4?
-0.39
Which is the third smallest value? (a) -4 (b) -0.5 (c) 0 (d) -72 (e) 0.5
b
What is the third smallest value in 0.1, -5/2, -0.3, 0.3?
0.1
Which is the smallest value? (a) 78 (b) -2/11 (c) 0.38
b
What is the fourth biggest value in 7/8, 4, 0.23, 0?
0
Which is the third biggest value? (a) -4/7 (b) -1332 (c) 0.2 (d) 1
a
What is the second smallest value in 4, 43, -5?
4
What is the fourth smallest value in 0.0554, -5/2, 0.7, -1?
0.7
Which is the biggest value? (a) -5 (b) -1/3 (c) 0.3 (d) -2/5 (e) -103
c
Which is the third biggest value? (a) -0.2 (b) 3/4 (c) -0.4 (d) 0.01
a
What is the third biggest value in 0.0977, -4, -1/4?
-4
What is the fourth biggest value in -1/2, 1, -0.1, 0.03, 0.01?
-0.1
What is the fourth smallest value in 9/5, 1/5, 3.5, -0.5?
3.5
What is the second biggest value in 4, -3, 0.5, -497?
0.5
What is the fourth biggest value in 4, 0.37, -4, 19?
-4
What is the smallest value in 0.2, -1/3, -0.1, 3, 2536?
-1/3
Which is the second biggest value? (a) -39 (b) -4 (c) -3 (d) 5 (e) 22
d
What is the third smallest value in 5, 2/9, -0.8?
5
What is the second biggest value in -1, -0.05, -0.1, 5?
-0.05
What is the fourth biggest value in -1, 12, -2, 1/8?
-2
Which is the second smallest value? (a) -2 (b) -1/4 (c) -0.3 (d) 1
c
Which is the smallest value? (a) 0.5 (b) 3/5 (c) -2
c
Which is the fourth smallest value? (a) 8 (b) 16 (c) -2 (d) 3/10 (e) -3
a
Which is the third smallest value? (a) 2 (b) -2/7 (c) -236
a
Which is the second smallest value? (a) 3 (b) 1 (c) -0.42 (d) -2/15
d
What is the third smallest value in -48, -2/3, 4?
4
What is the fifth smallest value in 0.1, 1/5, 83/3, -4, 3?
83/3
What is the second smallest value in -4, -0.2, 52, -2/63?
-0.2
Which is the third biggest value? (a) 61 (b) -0.1 (c) 0.5
b
What is the fourth smallest value in -3/4, -1/4, 2/13, 1/15, -1/13?
1/15
Which is the second biggest value? (a) 2 (b) -1/101 (c) 66
a
What is the fourth biggest value in -2/19, -1, -0.12, 4?
-1
Which is the second smallest value? (a) -4 (b) 1/11 (c) 145
b
What is the fourth biggest value in 2, 5, -0.052, 0.1?
-0.052
Which is the second smallest value? (a) 2/1759 (b) 5 (c) -1 (d) -1/6
d
What is the second smallest value in 0, 5, -2/51?
0
Which is the fourth biggest value? (a) -28.81 (b) -0.5 (c) 0.4 (d) 1
a
Which is the biggest value? (a) -240 (b) 0 (c) -3
b
What is the second smallest value in 0.5, -1, -4?
-1
What is the fourth biggest value in -3/5, -0.007, -1, 4?
-1
Which is the smallest value? (a) -7 (b) -3 (c) 5
a
Which is the second biggest value? (a) 49 (b) -1/8 (c) 1/8
c
What is the biggest value in -21, -0.7, 0, -5?
0
Which is the smallest value? (a) 5 (b) -49 (c) -0.4
b
Which is the third biggest value? (a) 1/4 (b) -24 (c) 0.2
b
What is the second biggest value in 4/3, 0.2, -5, -2/5, 2/7?
2/7
What is the second biggest value in 219/11, 0.1, 2/3?
2/3
What is the fifth smallest value in -3.76, 4/5, 5, 0.3, 1/4?
5
What is the second biggest value in -0.2, -1/10, 2/13, -2?
-1/10
What is the biggest value in 7/5, 1/2, -9/7?
7/5
Which is the third smallest value? (a) 3/8 (b) 2 (c) -2/35
b
What is the third smallest value in -10, 0.7, 3?
3
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Let w = 42 + x. What is the least common multiple of w and 20?
180
Let q be (-2)/(-7) + (-40)/(-7). Suppose -3*i + 66 = -348. Suppose 3*x - q*x = i. Calculate the common denominator of 19/5 and x.
5
Let p(k) = k**2 + 0*k**2 - 1 - k + 0. What is the lowest common multiple of 4 and p(4)?
44
Let t = -100 + 140. Calculate the smallest common multiple of 16 and t.
80
Let v = 45 - 25. What is the least common multiple of v and 30?
60
Suppose 0 - 6 = -3*v. Suppose 0*f + 3*f + 40 = -4*b, 0 = 4*b + f + 32. Let l = 13 + b. Calculate the lowest common multiple of l and v.
6
Let u = 294 - 936. Calculate the common denominator of -3*(26/(-15) - 1) and u/(-120)*(3 + -1).
10
Let j(h) = h. Let x(z) = -z**2 + 2*z - 1. Let b(l) = -2*j(l) - x(l). Let v be b(4). Calculate the common denominator of 107/12 and v - (7/4 - -2).
12
Let h be 186*(-1)/(-4)*6. Find the common denominator of h/(-10)*(-2)/12 and -111/20.
20
Suppose 0 = 7*i - 2*i. Suppose 2*r = -i*r + 6. What is the smallest common multiple of r and 5?
15
Let d = 13 + -5. Suppose c = 2*c - 4. Calculate the lowest common multiple of c and d.
8
Let j(r) = -r**3 + r**2 + r - 10. Let z be j(0). Find the common denominator of -115/14 and 25/((96/z)/(-4)).
84
Suppose -3*z = 2*n - 20, -4*z - 4*n + 20 = -0*z. Let d = 36 + -18. What is the least common multiple of d and z?
90
Suppose -5*j - 4*u = -5*u - 31, -3*u = 4*j - 21. Find the common denominator of (-7 + j)*278/36 and 33/14.
126
Let x(s) = -270*s**3 - 3*s**2 + 3*s - 4. Let q be x(-3). Let o = q + -43397/6. What is the common denominator of o and 17*(-2)/(-72)*2?
18
Let b = 19 - 37. Let f be ((-4)/6)/(4/b). What is the common denominator of f - (-2 + (-87)/30) and 143/6?
30
Suppose -5*n + 2*h = 30, -5*h + 14 = -n + 31. Find the common denominator of (n/(-2) - -3)/8 and -3 + 2/20*83.
40
Let i = -211 - -1024/5. What is the common denominator of i and -17/8?
40
Let w be (-459)/(-36) - (-1)/4. Suppose 0*r = -5*r - 3*a + 17, -2*r = -5*a - w. Calculate the least common multiple of 6 and r.
12
Let u = -279 + 525/2. Find the common denominator of u and 3 - (-166)/(-54)*3.
18
Let n(r) = 2*r**2 - 2582*r**3 - 4473*r**3 - r**2. Let b be n(-1). Let u = 42457/6 - b. Find the common denominator of u and 87/14.
42
What is the least common multiple of 33 and (6/(-8))/((12/(-176))/3)?
33
Suppose 3*l = 2*l + m + 2, -3*l = 5*m - 14. Let j(u) = -2*u - 2. What is the lowest common multiple of j(-4) and l?
6
Let p = 63/5 + -19/2. What is the common denominator of p and -181/150?
150
Suppose 3 + 0 = w. Suppose -5*y = 2*c + 3, 2*y - 2*c = w*c - 7. Find the common denominator of 1/y - 63/(-16) and 49/10.
80
Suppose 0 = 4*h + 3*q - 2, 5*h - 2*q - q - 16 = 0. Suppose -4 = -h*r - 2*r. Suppose -5 = -4*m + 31. What is the least common multiple of r and m?
9
Let a = -1090 - -7655/7. Calculate the common denominator of -41/22 and a.
154
Let f = -21 - -23. Calculate the least common multiple of 14 and f.
14
Let a = -2715 + 43491/16. Let y = 10183/1480 + -1/185. Calculate the common denominator of a and y.
16
Let g(x) = x**3 + 6*x**2 + 4*x + 2. Suppose 0*q + 5*q + 20 = 0. What is the smallest common multiple of g(q) and 22?
198
Let l(m) = m**3 - 6*m**2 + m - 6. Let d be l(6). Let y be (-311473)/20 + (d - -2). Let f = y + 15566. What is the common denominator of 27/10 and f?
20
Suppose 19*p - 396 = 8*p. What is the least common multiple of 36 and p?
36
Let o = 13 - 9. Let l = 14 + o. Calculate the least common multiple of l and (-16)/(-2) + 1 + -1.
72
Let s = 1083 + -6475/6. Let k = -23675/8 - -2966. Find the common denominator of s and k.
24
Let t be 4/(-16) + (-10)/(-8). Suppose -2*w + 0 - 1 = 3*m, -w - m + t = 0. Calculate the lowest common multiple of w and 8.
8
Let y = -51 - -78. What is the smallest common multiple of y and 12?
108
Let g = -1489 + 5879/4. Find the common denominator of g and -52/5.
20
Let b = 3 - 10. Calculate the least common multiple of (-3)/b - 39/(-7) and 7.
42
Let y = -53254147 - -3195134213/60. Let b = 11425/6 + y. Calculate the common denominator of b and 51/10.
20
Suppose -556 = -6*l + 608. What is the least common multiple of 18 and l?
1746
Let z = -2567/2 - -1235. Find the common denominator of z and 53/4.
4
Suppose -d + 0 = -2. Find the common denominator of 142*d/(-72) - -2 and -91/18.
18
Let m be (-18)/30 + 354/(-10). Calculate the common denominator of -19/20 and 250/m + 1*3.
180
Let k = -13360/9 + 1490. Find the common denominator of ((-66)/(-12))/(4 + (-62)/12) and k.
63
Let k(p) = -2*p + 1. Let z be k(-1). Let m(n) = n**2 + 1. Suppose 2*v + 16 = 5*l, 3*v - 1 = l + 1. Calculate the smallest common multiple of l and m(z).
20
Let c(r) = -r**2 + r + 4. Let s be c(3). What is the common denominator of ((-3)/(-18))/((-2)/(-93)) and (s/(-10))/(162/585)?
36
Let d be (-3)/(-2) - (-18)/(-12). Suppose d*z - 4 = 2*z. Calculate the least common multiple of ((-24)/z)/(6/4) and 9.
72
Suppose -140 = -4*f + 3*d, 3*d - 4*d + 80 = 2*f. Suppose 0 = 4*y + y - 7725. Let t = y + -6147/4. Find the common denominator of f and t.
4
Suppose 0 = -4*q - 4*i + 37740, 2*q + 0*i = -5*i + 18864. Let o = q + -16900. Let b = o + 44675/6. Find the common denominator of 7/6 and b.
6
Find the common denominator of 125/18 and (235/(-15))/(10/(-3)).
90
Suppose 9*q = 2*k + 8*q - 11, -k + 13 = q. What is the lowest common multiple of 2 and k?
8
Let p = -44 - -84. Suppose -h = -6*h + p. Calculate the smallest common multiple of 2 and h.
8
Suppose -3*i = -2*k - 46, -5*k = i - k + 8. Suppose z + i = f, z = 2*f - 2*z - 28. Let r(g) = -17*g**3 - 1. What is the lowest common multiple of f and r(-1)?
16
Let l be (-2 - -1)/(62/(-5042218)). Let w = -81339 + l. Let r = -1312/217 - w. What is the common denominator of r and -95/6?
42
Let q be 32/((-2)/(0 - 2)). Suppose 4*z - 8*z + q = 0. Calculate the lowest common multiple of z and 4.
8
Let i be 4/((-1)/(3/(-2))). Let z(o) = o**2 - 6*o + 6. Suppose 11 - 29 = -2*b. What is the lowest common multiple of b and z(i)?
18
Let z = -2753 + 4000. Let a be (-531)/12*166/6. Let j = a + z. Find the common denominator of j and -79/2.
4
Let i(a) = 34*a. Let m be i(-1). Let u = 52 + m. What is the lowest common multiple of 22 and u?
198
Let q(d) = 9*d**2 + 3*d. Let l be q(5). Suppose 5*w - 3*c = -14, -w - 5*c = -0*c + 14. Calculate the lowest common multiple of 4 and (2/w)/((-6)/l).
20
Let l = 104 - 61. Suppose k - 4*k + 63 = 0. Let p = l - k. What is the smallest common multiple of p and 16?
176
What is the common denominator of 41/15 and (-1)/144*3*-410 + -3?
120
Let u(r) = 2*r - 10. Calculate the least common multiple of 32 and u(13).
32
Let j be -2*(-2 + 3) - -4. Suppose -3 = -4*h + 17. Suppose -20 = -j*l + 7*l, -5*x - h*l = -20. Calculate the smallest common multiple of x and 1.
8
Let o = 22 - 17. Suppose 5*k + y = 93, -4*y - 78 = -0*k - o*k. What is the smallest common multiple of 16 and k?
144
Let k = 34 + -1. Calculate the least common multiple of k and 42.
462
Let w = 23 + -18. What is the lowest common multiple of 11 and w?
55
Let y = 3 - 7. What is the common denominator of 0 + (-507)/(-54) + -3 and (y - -2)/(40/17)?
180
Suppose -5*r = 2*d - 92, 3*r + d - 79 + 23 = 0. What is the least common multiple of 14 and r?
140
Calculate the common denominator of 67/2 and (-29)/11*2/(-10)*-5.
22
Let l(s) = -3*s + 1. Let i(t) = -6*t + 2. Let c(w) = -6*i(w) + 14*l(w). What is the common denominator of 59/4 and c(7)?
4
Suppose 2*m + 7 = 3*m. Let a = 4 + -3. Suppose -u = 3*x + u + a, 3*u = 4*x - 10. Calculate the least common multiple of m and x.
7
Let l = 6 - 3. Suppose -l*x = 0, 2*j - 3*x - 36 = -12. Calculate the least common multiple of j and 11.
132
Let g = 12/891743 + -78875560237/10700916. Let b = -7376 - g. Find the common denominator of 19/8 and b.
24
Calculate the common denominator of (1/5)/(4/220) and -29/2.
2
Let i be (-2 - (-1 - 0)) + 1. Let h = 2 + i. Let k = -36 + 38. What is the lowest common multiple of k and h?
2
Let w = -4 - 2. Let d(p) = 3*p - 4 - p - 7*p. Calculate the common denominator of 2/3 and d(w).
3
Suppose 2*q + 10 = 4*h, -4*h + 5*q + 15 = 4*q. Let i(u) = 2*u**2 - 7*u - 7. Calculate the smallest common multiple of 30 and i(h).
120
Let x = 7091 - 56647/8. Calculate the common denominator of x and -9/10.
40
Calculate the common denominator
|
{
"pile_set_name": "DM Mathematics"
}
|
rounded to the nearest one hundred thousand?
-700000
Round 17.62 to zero decimal places.
18
Round 6.427 to 0 dps.
6
Round 3321.2 to the nearest ten.
3320
What is 14391000 rounded to the nearest one million?
14000000
Round -9.847 to zero dps.
-10
What is -0.00001029 rounded to seven decimal places?
-0.0000103
What is -0.0301 rounded to three decimal places?
-0.03
Round 1305.5 to the nearest 10.
1310
Round -67.71 to zero decimal places.
-68
What is -0.131055 rounded to 4 decimal places?
-0.1311
Round 0.00002421 to 5 decimal places.
0.00002
Round -8.821 to the nearest integer.
-9
Round -319.4 to the nearest 10.
-320
What is -0.000015431 rounded to 7 decimal places?
-0.0000154
What is -2.681 rounded to 1 dp?
-2.7
Round -5740 to the nearest 100.
-5700
Round -2.706 to 0 decimal places.
-3
Round 881300 to the nearest 10000.
880000
Round -28904 to the nearest 1000.
-29000
Round -0.2794 to 2 decimal places.
-0.28
Round 0.000000233 to 6 decimal places.
0
Round 0.00003427 to six dps.
0.000034
Round -0.00013996 to five dps.
-0.00014
What is -0.000004741 rounded to 7 dps?
-0.0000047
Round 83.24 to the nearest 10.
80
Round -0.24515 to two dps.
-0.25
What is -1040 rounded to the nearest 10?
-1040
What is 0.000032106 rounded to 6 decimal places?
0.000032
Round -1090300 to the nearest ten thousand.
-1090000
Round -14854 to the nearest ten thousand.
-10000
Round -0.00069673 to five decimal places.
-0.0007
Round 0.00000912 to six decimal places.
0.000009
Round -0.000029016 to seven dps.
-0.000029
What is 0.0004693 rounded to five dps?
0.00047
Round -2.6 to the nearest integer.
-3
What is 0.09142 rounded to two decimal places?
0.09
What is 44200 rounded to the nearest one thousand?
44000
What is -0.00223 rounded to four decimal places?
-0.0022
What is 10.7782 rounded to zero dps?
11
What is -0.0011215 rounded to five dps?
-0.00112
Round 0.0000543 to 6 decimal places.
0.000054
Round -0.00006012 to 6 dps.
-0.00006
Round 0.00050193 to 5 dps.
0.0005
Round 0.000002811 to six decimal places.
0.000003
Round 0.074105 to two decimal places.
0.07
Round -0.00083887 to 5 decimal places.
-0.00084
What is -36340 rounded to the nearest one thousand?
-36000
Round -0.0000006909 to 7 dps.
-0.0000007
Round -1342000 to the nearest one hundred thousand.
-1300000
Round -81800 to the nearest 10000.
-80000
Round 2.04 to 1 dp.
2
Round 48210 to the nearest 10000.
50000
Round -0.000001932 to 7 dps.
-0.0000019
What is 0.7309 rounded to 1 dp?
0.7
Round -0.05384 to two decimal places.
-0.05
What is 224590 rounded to the nearest 1000?
225000
Round 0.0005718 to five decimal places.
0.00057
Round -0.0000871 to 6 dps.
-0.000087
Round -0.000000167 to 6 decimal places.
0
What is 508550 rounded to the nearest one thousand?
509000
Round 5225.8 to the nearest one hundred.
5200
Round 24550 to the nearest 10000.
20000
Round -6251220 to the nearest 10000.
-6250000
Round -2912.49 to the nearest 10.
-2910
What is 0.0000186734 rounded to 6 decimal places?
0.000019
Round 0.0000193 to 6 decimal places.
0.000019
What is -6.52 rounded to one dp?
-6.5
Round 81.92 to the nearest integer.
82
What is -1695000 rounded to the nearest 100000?
-1700000
What is 980.9 rounded to the nearest one hundred?
1000
What is -2221000 rounded to the nearest 10000?
-2220000
What is -0.0002165 rounded to five dps?
-0.00022
What is 0.000000986 rounded to 7 dps?
0.000001
Round -0.000026859 to 6 dps.
-0.000027
Round -24319.9 to the nearest 1000.
-24000
Round -0.05007 to three dps.
-0.05
Round -93300000 to the nearest one million.
-93000000
What is 0.000193 rounded to 5 decimal places?
0.00019
What is 0.0000008532 rounded to 7 dps?
0.0000009
Round -0.02649 to 3 dps.
-0.026
What is -0.02768 rounded to 3 dps?
-0.028
Round 0.034426 to three dps.
0.034
Round -8052000 to the nearest one million.
-8000000
What is -1.06296 rounded to two dps?
-1.06
What is -788860 rounded to the nearest ten thousand?
-790000
Round -0.2355 to three decimal places.
-0.236
What is 173.6 rounded to 0 dps?
174
Round 2.3445 to two decimal places.
2.34
What is -0.15132 rounded to three decimal places?
-0.151
What is -0.00003987 rounded to 5 dps?
-0.00004
What is 0.000351 rounded to five dps?
0.00035
Round -0.0000082 to six dps.
-0.000008
What is -0.00086424 rounded to four decimal places?
-0.0009
What is 0.000001965 rounded to seven dps?
0.000002
Round 2879600 to the nearest 1000000.
3000000
Round -521.5 to the nearest ten.
-520
Round 188.401 to the nearest integer.
188
Round -3750 to the nearest one thousand.
-4000
What is -0.007913 rounded to 3 decimal places?
-0.008
What is -500.74 rounded to the nearest ten?
-500
What is 118314000 rounded to the nearest one million?
118000000
What is -36130000 rounded to the nearest one million?
-36000000
What is 0.0595645 rounded to 3 dps?
0.06
What is -0.014753 rounded to 3 decimal places?
-0.015
Round -59195000 to the nearest one million.
-59000000
What is -0.000004007 rounded to 6 decimal places?
-0.000004
What is -30.3389 rounded to the nearest integer?
-30
Round 8.267 to zero dps.
8
What is -0.000000377 rounded to 7 dps?
-0.0000004
What is 17600 rounded to the nearest 100000?
0
Round 713800 to the nearest ten thousand.
710000
Round 1.1006 to one dp.
1.1
Round -141700000 to the nearest 1000000.
-142000000
Round 12.8096 to one dp.
12.8
Round -2211000 to the nearest one hundred thousand.
-2200000
What is 0.000051371 rounded to 5 decimal places?
0.00005
Round -0.001875 to one dp.
0
What is -113.1 rounded to the nearest 10?
-110
Round 0.008091 to three dps.
0.008
What is -834820 rounded to the nearest 10000?
-830000
Round -228.6 to the nearest ten.
-230
Round 5071000 to the nearest 100000.
5100000
Round -0.0000311439 to seven decimal places.
-0.0000311
Round -0.00034985 to 6 dps.
-0.00035
What is 6490000 rounded to the nearest one million?
6000000
Round -0.00435847 to four decimal places.
-0.0044
Round 3.45114 to two dps.
3.45
What is -0.0031694 rounded to 4 decimal places?
-0.0032
What is -266600 rounded to the nearest ten thousand?
-270000
Round -3180 to the nearest 1000.
-3000
Round 2.125 to 1 dp.
2.1
What is -0.28926 rounded to 2 dps?
-0.29
Round 0.0000008079 to 6 decimal places.
0.000001
What is -0.00756 rounded to three decimal places?
-0.008
Round -7987200 to the nearest 100000.
-8000000
What is -456000 rounded to the nearest one million?
0
What is -15.648 rounded to 1 dp?
-15.6
Round -13440000 to the nearest one million.
-13000000
Round -774170 to the nearest 10000.
-770000
What is -0.0000008768 rounded to 7 decimal places?
-0.0000009
Round -43.179 to 1 decimal place.
-43.2
Round -380.21 to zero decimal places.
-380
Round 10028 to the nearest one thousand.
10000
What is 503 rounded to the nearest one thousand?
1000
Round -0.0016979 to four dps.
-0.0017
Round 0.016782 to 4 decimal places.
0.0168
Round 1397.25 to the nearest ten.
1400
Round 31330 to the nearest ten thousand.
30000
Round 1006500 to the nearest 10000.
1010000
What is 40.544 rounded to the nearest 10?
40
Round 0.027673 to 3 decimal places.
0.028
What is -576.1 rounded to the nearest 100?
-600
What is -3387.1 rounded to the nearest ten?
-3390
Round 1777500 to the nearest one million.
2000000
What is 87600 rounded to the nearest ten thousand?
90000
What is -505.2 rounded to the nearest 100?
-500
What is -1325000 rounded to the nearest 10000?
-1330000
What is 32830 rounded to the nearest one thousand?
33000
What is 0.6501 rounded to 2 decimal places?
0.65
What is -23.1896 rounded to zero dps?
-23
What is -28652000 rounded to the nearest 100000?
-28700000
Round -6772000 to the nearest 100000.
-6800000
What is -0.00029655 rounded to five dps?
-0.0003
Round -0.0000111042 to six decimal places.
-0.000011
What is -0.45247 rounded to one decimal place?
-0.5
Round -0.0001576 to five dps.
-0.00016
Round 0.000363 to five decimal places.
0.00036
What is -362 rounded to the nearest 10?
-360
What is 40 rounded to the nearest 100?
0
Round 0.040875 to two decimal places.
0.04
Round 0.184046 to two decimal places.
0.18
What is 0.01994 rounded to 2 dps?
0.02
Round -160700 to the nearest 10000.
-160000
What is 517.01 rounded to the nearest ten?
520
Round -0.0000552 to 6 decimal places.
-0.000055
Round -728000 to the nearest 100000.
-700000
Round 75856 to the nearest ten th
|
{
"pile_set_name": "DM Mathematics"
}
|
(32/64).
-19
What is (2/(-11))/(18848/(-32736))?
6/19
Evaluate 3/60*200/20.
1/2
((-12)/28)/((-30)/7)
1/10
((-187)/3740)/((-6)/(-8))
-1/15
What is (-2)/(-1)*136*(-8)/(-128)?
17
What is the value of ((-5405)/282)/115*((-18)/(-16))/(-1)?
3/16
What is 1*((-1)/(-5))/((-10)/25)?
-1/2
Calculate (10*(-60)/3750)/((-4)/(-10)).
-2/5
Calculate (-18)/(-15)*((-426)/1491)/((-8)/490).
21
(-2)/20*-3*(-185)/((-96570)/(-464))
-4/15
Calculate (-23850)/2120*2*2/3.
-15
Calculate (-26)/(33*(-38)/(-1254)).
-26
(18/4*6/(48/8))/3
3/2
Evaluate (-6)/(((-28)/36)/(1/(-9)*1)).
-6/7
Evaluate 18/(-4)*(-8)/(((-32)/(-3))/8).
27
Calculate 60/(-210)*4774/44.
-31
What is the value of ((-378)/168)/(4*(-12)/(-128))?
-6
What is ((60/21)/(-1))/(-13*32/(-1456))?
-10
What is ((-112)/52)/(80/520)?
-14
((-1)/(8/(-7))*3078/1197)/(-1)
-9/4
What is the value of (-324)/(-84)*280/(-60)?
-18
Evaluate 24/(-7)*((-780)/156)/(5/(-7)).
-24
Evaluate ((-18)/11)/((-1662)/(-12188)).
-12
What is the value of (-4)/10*(-38)/(-988)*39?
-3/5
Calculate (40/(-100))/(17/(7735/14)).
-13
What is the value of (-19)/(342/2160)*18/(-72)?
30
What is the value of ((-5)/(-50))/(34/(-340))?
-1
Evaluate ((-13)/(728/240))/(100/(-280)).
12
What is the value of 4*((270/20)/9)/(-3)?
-2
Calculate ((-1998)/(-1665))/(2*(-6)/220).
-22
What is 2*-15*7*19/266?
-15
Evaluate 948/(-1106)*(-2)/(6/49).
14
What is the value of -4*(((-36)/(-63))/2)/(-2)?
4/7
What is ((-15)/9)/((-973)/417)?
5/7
((-5)/2*(-54)/45)/((-48)/(-32))
2
Calculate (-61)/305*((-40)/42)/(-10).
-2/105
(-6)/2*(-41)/615
1/5
What is the value of 82/6888*(462/(-24))/(-11)?
1/48
What is (-1)/1*-1*2*(-25)/(-425)?
2/17
(1/((-885)/12))/(2*(-10)/(-50))
-2/59
Evaluate (7/((-84)/30))/((-90)/432).
12
Evaluate (15/(-5))/((-105)/(-350)).
-10
What is ((-3)/(-5))/((-504)/336)?
-2/5
What is 294/70*40/(-60)?
-14/5
Calculate -1*(1980/16)/33*2/9.
-5/6
What is ((-2)/2)/(((-15)/5)/(-3))?
-1
What is the value of (((-1112)/5838)/(1/(-14)))/(-2)?
-4/3
What is 15/(-3)*((-273)/65)/7?
3
(6/4)/(114/76*-2)
-1/2
5/10*22*20/2200
1/10
Evaluate ((-82)/((-4018)/(-2205)))/(3*(-1)/(-2)).
-30
What is the value of 0/((20/8*-1)/((-23)/(-46)))?
0
What is the value of (-6*10/450)/((-35)/(-25))?
-2/21
What is the value of (-3*1)/(69/46*-13)?
2/13
Calculate 12/(-56)*-1*(-168)/(-72).
1/2
What is the value of ((-3)/(12/16*-4))/(5/10)?
2
Evaluate (-26)/(-39)*108/(-8).
-9
Evaluate ((-1)/2*62/31)/(4/(-80)).
20
What is the value of 3480/150*(-80)/64?
-29
What is the value of (55/(-66))/((-41)/(-984))?
-20
What is the value of ((-15)/6*792/(-4400))/(2/8)?
9/5
What is (5*(-15)/(-30))/((-15)/(-24))?
4
Calculate (216/81)/((20/1950)/(4/40)).
26
What is 21/(-5)*1870/(-561)?
14
What is (((-8050)/(-125))/(-23))/(((-16)/(-20))/(-1))?
7/2
Evaluate (3/(-2))/((-16)/(-32)).
-3
What is the value of ((-20)/(-150))/((6*1/9)/2)?
2/5
What is the value of ((-704)/3630)/32*(-30)/(-9)?
-2/99
What is (-1)/(12/(-9))*(-569)/(-3414)?
1/8
Evaluate (-17)/(782/69)*-2*(-4)/(-6).
2
Calculate 1*5*((-3534)/(-155))/(-19).
-6
(1685/1011)/(1/(-9))
-15
What is (20/(-16))/((-5)/72)?
18
(-6*5/(-135))/((-155)/558)
-4/5
(-1)/(2/(-28)*2)
7
-2*12/168*2/(-2)
1/7
Evaluate 3/3*(-2)/(-2)*(-756)/(-1701).
4/9
What is (2/39*29/(-58))/((-1)/(-6))?
-2/13
What is the value of (78/(-390))/((4/36)/((-4)/12))?
3/5
21*18/72*4
21
(15/28)/3*(-1920)/(-480)
5/7
((-112)/(-240))/((-308)/264)
-2/5
What is the value of (8/((616/(-33))/14))/(2/(-8))?
24
((48/60)/(18/(-45)))/(-127)
2/127
What is 5/10*-3*3*8/(-6)?
6
What is (-1519)/(-434)*10/(-6)*(-3)/14?
5/4
What is the value of ((336/(-14))/24)/((-4)/40)?
10
What is the value of 2/5*5790/(-193)?
-12
Evaluate (-5)/(-68)*(-5160)/3225.
-2/17
Calculate (-28)/14*(-8)/(-160).
-1/10
(-133)/(-969)*(-336)/196
-4/17
What is (-2*(-135)/(-450))/(3/55)?
-11
91/(-65)*((-34)/204)/(1/15)
7/2
Evaluate 1096/(-2740)*(4/10)/((-1)/(-5)).
-4/5
(2/(-5))/((-2)/((-105)/(-48)*4))
7/4
(1/6)/((-182)/39*1)
-1/28
What is the value of (49/(-14)*14/(-49))/25?
1/25
What is ((81/12)/(183/(-122)))/(3/6)?
-9
(27/18)/(7/(-133)*(-3)/(-2))
-19
Evaluate (-45*(-49)/1470)/(1*(-1)/3).
-9/2
Evaluate ((-2)/15)/((-205)/1230).
4/5
What is the value of (-143)/33*(-102)/221?
2
(-3)/(-1)*(-1)/2*57/(-1197)
1/14
3/(-6)*(-6068)/(-74)
-41
((-341)/62)/((-165)/(-180))
-6
What is 84/(-10206)*-81*-1*18/1?
-12
What is the value of ((1/9)/(13*(-28)/(-2730)))/(-5)?
-1/6
Evaluate ((-209)/(-38))/((-23)/(368/(-40))).
11/5
What is (-25*(-11)/110)/(30/(-12))?
-1
(10*1/(-7))/(((-20815)/(-115))/(-1267))
10
Evaluate (4/11)/(24/44)*12/1.
8
What is ((-7)/3*2/21)/(5/20)?
-8/9
Calculate ((-120)/(-275))/((-3)/(-11)).
8/5
What is (-3)/((-273)/((-147)/21))?
-1/13
Calculate (-8)/22*-11*(-52)/286.
-8/11
What is 679/(-388)*(-1)/(-28)?
-1/16
Evaluate -2*(-150)/(-10)*(-96)/240.
12
Evaluate (2/2)/(-2)*(961/(-31))/31.
1/2
What is the value of (33/(-286))/((-4)/(-24)*3)?
-3/13
What is the value of (((-224)/96)/((-2)/3))/1?
7/2
What is (-12)/9*21/2?
-14
Evaluate ((122/427)/((-12)/(-63)))/(-9).
-1/6
Evaluate (736/(-414))/(16/(-72)).
8
Calculate (-9)/2*244/37332.
-1/34
What is (15*2/24)/(((-28)/16)/7)?
-5
What is the value of ((-24)/30)/(378/(-105))?
2/9
What is 4*((-24)/54*9)/(1/(-1))?
16
Evaluate ((-620)/(-310))/(2/5).
5
3*(-7)/(-14)*(-88)/(-165)
4/5
What is 10*12/54*162/45?
8
Calculate 11/(((-22)/15)/((-676)/845)).
6
Calculate -92*(-8)/(-80)*4*(-95)/152.
23
What is the value of (216/432)/((-44)/(-8))?
1/11
What is (180/(-210)*(-1)/1)/(4/(-6))?
-9/7
What is 48/(-32)*4/(-6)*2/1?
2
Evaluate 15540/(-4625)*(-10)/12.
14/5
Evaluate (549/61)/(((-24)/(-20))/(-2)).
-15
16/(-84)*(-5)/(480/112)
2/9
Calculate ((-20)/14)/((-94)/(-658)).
-10
Calculate (-4)/((3/((-27)/(-6)))/(4/(-108))).
2/9
((-54)/48)/((-15)/(-4))*-50
15
Evaluate (-33)/(6534/24)*(-4)/(16/(-18)).
-6/11
What is the value of (-258)/(-430)*4/12?
1/5
Calculate (4/335)/(2000/5000).
2/67
What is 141/282*(3/(-6))/(1/12)?
-3
Evaluate (-9)/(-58)*340/(-765).
-2/29
What is ((-518)/(-777))/((-22)/3)?
-1/11
What is ((-12)/(-16))/((-30)/440)?
-11
What is ((-938)/1407)/(19/3)?
-2/19
What is the value of (-2100)/168*(-4)/5?
10
What is (6/54)/((-4)/12)?
-1/3
What is the value of (-450)/54*(-9)/10*7/(-35)?
-3/2
((-18)/(-20))/((-738)/(-6765))
33/4
What is 143/13*28/1694?
2/11
Evaluate (((-1512)/16)/9)/((-1)/(-4)*-2).
21
Calculate (168/(-54)*3)/((-1)/(9/(-3))).
-28
What is ((-1059)/(-353))/((-6)/4)?
-2
What is (4*75/20)/(205/(-123))?
-9
Evaluate ((204/16)/(30/16))/((-12)/30).
-17
Evaluate (-8)/110*160/(-192).
2/33
((-3)/(-35))/(-24*(-8)/672)
3/10
Evaluate 342/57*-1*2.
-12
Evaluate 324/2160*(-52)/351.
-1/45
Calculate (((-5)/(-3))/(225/2160))/2.
8
Calculate (2/12*4)/(15/(585/(-2))).
-13
Evaluate ((24/3)/(-40))/(12/(-120)).
2
What is ((-3)/(-5))/(3/315*-36)?
-7/4
4920/(-1435)*(-21)/(-9)
-8
(46/(-23))/(342/(-15)*15/(-6))
-2/57
What is (275/(-55))/((-10)/6)?
3
(8/6)/(3768/(-17270)*10/(-18))
11
Calculate (-147)/(-63)*18/(-28).
-3/2
What is 0/3*(57/95)/((-36)/(-30))?
0
What is the value of (21/6)/((-12)/24)?
-7
Calculate (3*-2*(-7)/35)/(26/195).
9
Calculate (1/(-10))/(((-414)/(-54))/(-23)).
3/10
Calculate (20/(-20))/(1/((-12)/(-22))).
-6/11
What is ((-2)/(-2))/((-36)/180*(-5)/7)?
7
What is (144/120)/((-75)/1250)?
-20
What is the value of ((-4341)/(-23152))/((-9)/4)?
-1/12
What is 336/(-264)*22/(-4)?
7
(30/(-21))/(-40*28/896)
8/7
What is the value of ((-12)/(-16))/(-4*(-36)/(-128))?
-2/3
What is (-4)/(12/21)*16/16?
-7
Evaluate ((-1)/52)/(564/(-4512)).
2/13
(36/(-10))/(2016/192)*(-42)/9
8/5
What is (44/(-77))/(1/(-7))?
4
What is the value of 678/1582*1/2?
3/14
What is (0/(-10))/((-12)/(108/(-9)))?
0
What is the value of (2/102)/((-23)/138)?
-2/17
Calculate (1*(-272)/(-119))/((-4)/(-14)).
8
Calculate (-6)/(456/(-76)*3/(-6)).
-2
6/(-4)*45/(6480/1056)
-11
Evaluate (284/(-71))/(8/10).
-5
Calculate 25/(30/(-6))*(-15)/(-50)*-12.
18
Calculate (39/26)/((-3)/(-10)).
5
(-4)/((-1)/(15/6)*250/(-150))
-6
What is the value of (-1)/(-4)*-24*(-9)/30?
9/5
Evaluate (-11)/(33/72)*18/(-72).
6
What is the value of ((-4)/5)/(8/80*-1*1)?
8
(12/(-24)*-1)/((66/150)/11)
25/2
Evaluate (65/26)/((-10)/(-12)).
3
Evaluate ((-36)/10)/(-3)*8190/(-2184).
-9/2
Evaluate 7/(392/(-80))*6/48*4.
-5/7
What is the value of (6/(-27))/(((-3)/(-216)*-4)/2)?
8
What is the value of ((-18480)/128)/(-33)*12*(-1)/(-5)?
21/2
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1/75*t**6. Factor v(m).
-2*(m + 1)*(m + 5)**3/5
Let b(p) be the third derivative of -10*p**2 - 1 - 1/72*p**4 - 1/720*p**6 + 0*p**3 + 0*p + 1/120*p**5. Find s, given that b(s) = 0.
0, 1, 2
Let y(d) be the second derivative of -d**7/84 - d**6/24 - d**5/24 + 10*d**3/3 - 2*d**2 + 205*d. Let x(f) be the second derivative of y(f). Factor x(o).
-5*o*(o + 1)*(2*o + 1)
Suppose 340 = m + 28. Suppose m = -0*s + 13*s. Factor 320*u + 76*u**2 + 21*u**3 - 41*u**3 - 400 + s*u**3.
4*(u - 1)*(u + 10)**2
Suppose -10*r + w = -8*r + 11, 11*w = -r + 121. Let h = -65 + 263/4. Factor r*i**3 - 3/2*i**4 + h*i**5 + 3/2*i**2 - 3/4*i + 0.
3*i*(i - 1)**3*(i + 1)/4
Let z(g) be the second derivative of -g**4/48 - 33*g**3/8 - 97*g**2/4 - 792*g. Let z(v) = 0. Calculate v.
-97, -2
Let x = 13 + -8. Suppose -2*d + h = -1, 0*d - 1 = x*d + h. Factor 138*m**2 + 216*m**3 - 19 + 21*m**5 + d*m + 1 + 2*m + m + 120*m**4.
3*(m + 1)**3*(m + 3)*(7*m - 2)
Let v(s) = 38*s**2 - 111*s + 57*s + 68*s + 8 + 32*s**3. Let y(j) = -11*j**3 - 13*j**2 - 5*j - 3. Let k(u) = 3*v(u) + 8*y(u). Determine q, given that k(q) = 0.
-1, -1/4, 0
Let s(r) be the first derivative of r**4/3 + 1121*r**3/9 + 140*r**2/3 - 6838. Factor s(x).
x*(x + 280)*(4*x + 1)/3
Suppose 131*y = 44*y + 54*y + 66. Let j(w) be the second derivative of -1/168*w**7 + 0 + 0*w**2 + 1/24*w**4 + 0*w**3 - 1/16*w**5 + 1/30*w**6 - y*w. Factor j(b).
-b**2*(b - 2)*(b - 1)**2/4
Let h(n) = 5*n**2 + 28*n + 32. Suppose -21*v - 24 = -15*v. Let m be h(v). Factor -3/2*c - 3/2*c**3 + 3*c**2 + m.
-3*c*(c - 1)**2/2
Let d be -1 + (-1 - -2) - -23. Let y = -19 + d. Factor 2*q**3 + 0*q**2 - 4*q**2 + q**y + 54 - 8*q - 54.
q*(q - 2)*(q + 2)**2
Find i, given that 121*i**2 - 274*i**5 + 872*i**5 - 140*i**4 + 159*i**2 - 300*i**5 - 140 - 5*i - 303*i**5 + 10*i**3 = 0.
-28, -1, 1
Let s = -969 + 977. Let g(c) = 6*c**2 - 46*c - 13. Let y be g(s). Factor 1/3*l**4 + 0 + 0*l + 0*l**2 + 1/3*l**y.
l**3*(l + 1)/3
Let u(k) be the first derivative of k**3/8 + 177*k**2/16 + 1651. Find c, given that u(c) = 0.
-59, 0
Let m(s) be the first derivative of -56/3*s - 2/3*s**3 - 249 - 1/6*s**4 + 8*s**2. Factor m(z).
-2*(z - 2)**2*(z + 7)/3
Suppose 196*c**2 - 796 - 100*c**2 - 33*c**2 - 228 - c**3 - 960*c = 0. What is c?
-1, 32
Let g(c) be the first derivative of -625*c**6/9 - 180*c**5 + 421*c**4/6 + 2684*c**3/9 + 68*c**2 + 16*c/3 + 529. Determine o, given that g(o) = 0.
-2, -1, -2/25, 1
Let u = 2481/5 - 14881/30. Let s(t) be the third derivative of -10/3*t**3 + 1/3*t**5 - u*t**4 + 1/30*t**6 + 0 + 5*t**2 + 0*t. Determine x so that s(x) = 0.
-5, -1, 1
Let w be 6/75 - (3 + 438/(-150)). Let 1/6*f**5 - 1/6*f**2 + 0 - 1/6*f**3 + w*f + 1/6*f**4 = 0. Calculate f.
-1, 0, 1
Let h(s) = -s**3 + 7*s**2 + 7*s + 5. Let c be h(8). Let b be 79 + c/2*2. Solve -2*o**2 - b*o**3 + 2*o**4 + 145*o**3 + o - 70*o**3 = 0 for o.
-1, 0, 1/2, 1
Let j(a) = -a**3 + a**2 - 7*a + 19. Suppose 3*n = 5*c + 1, 5*n + 2 - 8 = 4*c. Let i be j(n). Let k**3 + 3/4*k**2 - i - k + 1/4*k**4 = 0. What is k?
-2, -1, 1
Let k be (-875)/(-570) + (-214)/6099. Factor -9/2*m + 0 + 9/2*m**3 + 3/2*m**4 - k*m**2.
3*m*(m - 1)*(m + 1)*(m + 3)/2
Let d(r) be the first derivative of -2*r**5/15 + r**4/3 + 122*r**3/3 + 372*r**2 + 1224*r + 10868. Solve d(t) = 0 for t.
-6, -3, 17
Factor -372*o**3 - 475061 - 25480 - 8*o**4 + 182280*o - 15338*o**2 + 6*o**4 + 20341.
-2*(o - 5)**2*(o + 98)**2
Let s be -19*1 - 24/(204/(-17)). Let h be s + 11 - (-102)/9. Solve -64/3 - h*l - 1/3*l**2 = 0 for l.
-8
Solve -150*v**4 - 282*v**3 + 29*v**2 - 9*v**5 - 1373*v**2 - 200*v**3 - 307*v**3 - 588*v = 0 for v.
-7, -2, -2/3, 0
Let i(a) be the third derivative of -2*a**7/105 - 14*a**6 + a**5/15 + 70*a**4 - 30*a**2 + 49. Determine p, given that i(p) = 0.
-420, -1, 0, 1
Let o = -1301/26 - -657/13. Let t(g) be the first derivative of 3*g - 1/18*g**6 + 9 - 1/5*g**5 + 10/9*g**3 + o*g**4 - 7/2*g**2. Solve t(p) = 0.
-3, 1
Let k = 390735 - 5861011/15. Factor k*q**3 + 0 - 2/15*q**4 - 8/5*q**2 + 0*q.
-2*q**2*(q - 4)*(q - 3)/15
Let c be (-22 - -20)/((-4)/6). What is h in -8*h**3 - h**5 - 17*h**4 + 6*h**c + 1 + 14*h**4 + 2*h**2 + 3*h = 0?
-1, 1
Let w(g) be the first derivative of 65/3*g**3 + 15/2*g**4 + 59 + g**5 + 30*g**2 + 20*g. Determine p, given that w(p) = 0.
-2, -1
Let a(w) be the third derivative of -w**6/24 + 97*w**5/4 + 735*w**4/4 + 58*w**2 - 7. Find b, given that a(b) = 0.
-3, 0, 294
Let q(l) be the third derivative of l**7/315 + l**6/180 - 4*l**5/5 + 154*l**2 - l. Let q(w) = 0. What is w?
-9, 0, 8
Let o(a) be the third derivative of -a**6/80 + 7*a**5/40 + 85*a**4/16 - 91*a**3/4 - 78*a**2 + 2. Factor o(u).
-3*(u - 13)*(u - 1)*(u + 7)/2
Let g be (-32)/(-33)*((-22914)/(-76))/67. Let 8/11*n**5 + 326/11*n**3 + 296/11*n + 492/11*n**2 + g + 90/11*n**4 = 0. What is n?
-6, -2, -1, -1/4
Let h be 21/126*(-15)/(-2)*(-7)/(-35). Let 7/2 - 5/4*y - h*y**2 = 0. What is y?
-7, 2
Let x(y) be the first derivative of 4/15*y**5 - 1/18*y**6 - 1/3*y**4 - 2/9*y**3 + 5/6*y**2 - 98 - 2/3*y. Factor x(i).
-(i - 2)*(i - 1)**3*(i + 1)/3
Let q(s) be the second derivative of s**7/945 + 7*s**6/540 + 8*s**5/135 + s**4/9 + 89*s**2 + 99*s. Let n(d) be the first derivative of q(d). Factor n(z).
2*z*(z + 2)**2*(z + 3)/9
Let g(r) be the second derivative of -r**5/50 + 361*r**4/10 - 36*r - 13. Factor g(h).
-2*h**2*(h - 1083)/5
Let f = 15 + 15. Factor -125 - 35*m + 17*m - 5*m**3 + f*m**2 + 15*m**2 - 57*m.
-5*(m - 5)**2*(m + 1)
Let k(s) be the third derivative of -s**8/5040 - s**7/180 + s**5/20 - s**4/24 - 2*s**2. Let p(a) be the third derivative of k(a). Factor p(q).
-4*q*(q + 7)
Let y(f) be the second derivative of f**4/12 - 23*f**3/2 - 71*f**2 - 1316*f. Find x, given that y(x) = 0.
-2, 71
Let d = 92259 - 369031/4. Find p such that 2*p**2 - d*p**3 + 1/4*p**4 - p + 0 = 0.
0, 1, 2
Let b(t) be the third derivative of 1/8*t**4 + 1/40*t**5 + 0*t**3 - t**2 - 1/80*t**6 + 3*t + 0. Factor b(y).
-3*y*(y - 2)*(y + 1)/2
Let a(d) be the first derivative of d**6/9 - 2*d**5/25 - 217*d**4/30 - 18*d**3/5 + 212*d**2/15 + 56*d/5 + 452. Determine i, given that a(i) = 0.
-6, -1, -2/5, 1, 7
Let b(f) be the first derivative of 2*f**3/15 + 7*f**2 - 1128*f/5 - 1366. Factor b(h).
2*(h - 12)*(h + 47)/5
What is m in 280/3*m + 4/3*m**3 - 1176 + 94/3*m**2 = 0?
-14, 9/2
Let s(h) be the second derivative of 5*h - 100/7*h**2 + 1/5*h**5 + 20/3*h**3 - 1/105*h**6 + 37 - 23/14*h**4. Determine x so that s(x) = 0.
2, 5
Let l(v) be the third derivative of 0 + 1/45*v**5 - 1/315*v**7 + 1/18*v**4 + 1/1008*v**8 - 3*v**2 - v + 0*v**3 - 1/120*v**6. Factor l(c).
c*(c - 2)**2*(c + 1)**2/3
Suppose 0 = 3*i - 3*p + 1347, -205 - 242 = i - 3*p. Let m = 452 + i. Factor -9/4*d + 3/8*d**m + 0.
3*d*(d - 6)/8
Let a(n) be the second derivative of 0 - 1/60*n**5 - 5/36*n**4 + 1/18*n**3 - 10*n + 5/6*n**2. Factor a(b).
-(b - 1)*(b + 1)*(b + 5)/3
Factor 1808*g - 43298*g**2 - 1201216 + 86590*g**2 + 2576*g - 43296*g**2.
-4*(g - 548)**2
Let i(k) = 6*k**3 - 199*k**2 + 2033*k - 7193. Let d(l) = 10*l**3 - 332*l**2 + 3388*l - 11988. Let c(g) = 7*d(g) - 12*i(g). Find v such that c(v) = 0.
10, 12
Find f, given that -2/5*f**4 - 106*f - 232/5 - 366/5*f**2 - 14*f**3 = 0.
-29, -4, -1
Let x(l) be the third derivative of -1/150*l**5 - 4/15*l**3 + 38*l**2 - 1/12*l**4 + 0 + 0*l. Factor x(n).
-2*(n + 1)*(n + 4)/5
Solve -4186*d**4 - 207*d**3 - 1232*d**2 - 2076*d + 4194*d**4 - 1080 + 2*d**3 + 4*d**5 - 27*d**3 = 0.
-5, -3, -2, -1, 9
Factor -61*d**3 + 12*d**2 - 50*d**2 - 7*d**4 + 3*d + 13*d.
-d*(d + 1)*(d + 8)*(7*d - 2)
Let l = -604 + 620. Let a be (l/(-8))/(-4)*0. Factor a - 1/6*o**2 - 1/2*o.
-o*(o + 3)/6
Let m(z) = -8*z**2 - 14*z - 12. Let w(l) = -7*l**2 - 13*l - 11. Suppose 3*y + 9 = 4*i, -5*i = -3*y - 5 - 10. Let d(h) = i*w(h) - 5*m(h). Factor d(u).
-2*(u + 1)*(u + 3)
Let g(s) be the third derivative of -s**8/2184 - 272*s**7/1365 - 4624*s**6/195 - 763*s**2. Let g(d) = 0. Calculate d.
-136, 0
Let r(k) = 6*k**3 + 1543*k**2 - 589838*k + 49. Let j(z) = -5*z**3 - 1542*z**2 + 589836*z - 42. Let d(y) = -7*j(y) - 6*r(y). Factor d(h).
-h*(h - 768)**2
Let v = -84 - -422/5. Let p be (-672)/(-756) - (-19)/((-42750)/1325). Let 1/5 - 2/5*i**3 + p*i**5 + v*i**4 + 1/10*i - 3/5*i**2 = 0. What is i?
-1, 2/3, 1
Let d be ((-796)/6 - 2)*5/1020. Let l = -28/51 - d. Factor 1/9*v + 2/9 - l*v**2.
-(v - 2)*(v + 1)/9
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of -y**8/14 - y**7/210 - 103*y**5/60 + 92*y**2. Find the third derivative of k(p) wrt p.
-1440*p**2 - 24*p
Let b(x) = 2*x**5 - 94*x**4 - 8*x**2 - 7*x - 91. Let w(g) = -2*g**2 - g. Let y(h) = b(h) - 4*w(h). Find the second derivative of y(o) wrt o.
40*o**3 - 1128*o**2
Suppose 46 = 2*k + 2*d, 3*k - 67 = 5*d + 26. Suppose -3*j - 1 + k = -g, -4*g = -2*j. Find the first derivative of j - 2*f + 0*f - 6 wrt f.
-2
Suppose -10*l + 12 = -8. Find the third derivative of -2*q**l - 31*q**2 + q**4 + q**4 + 17*q**4 wrt q.
456*q
Let p(b) be the first derivative of 9*b**4/4 + 2*b**3 - 66*b + 67. What is the derivative of p(n) wrt n?
27*n**2 + 12*n
Let a(p) be the second derivative of p**8/14 + p**7/14 + 3*p**4/4 + p**3/6 - 6*p. What is the third derivative of a(i) wrt i?
480*i**3 + 180*i**2
Let y be (-22 - -17) + 1*11. Find the third derivative of -4*x**2 + 5*x**2 + 10*x**6 + 26*x**2 - 37*x**y wrt x.
-3240*x**3
Suppose 0 = c - 37 + 22. Find the second derivative of -3*h + c*h**2 + 0*h - h wrt h.
30
Suppose 12*j = 17*j - 595. Suppose j + 6 = 5*x. Find the third derivative of -10*f**5 + 0*f**2 + 14*f**2 + x*f**5 wrt f.
900*f**2
Find the third derivative of -31*r**3 - 11*r + 54*r - 4*r**6 + 2*r**6 + 4*r**2 - 30*r wrt r.
-240*r**3 - 186
Let f(u) = u**3 + 4*u**2 + 5. Let k be f(-4). Suppose 3 = k*a - 12. What is the derivative of -a*x - 3*x**4 + 3*x - 4 wrt x?
-12*x**3
Let l be 5010/105 - 2/(-7). Differentiate 26 - 4*j - 46*j**2 + l*j**2 - j wrt j.
4*j - 5
Let b(u) = u**3. Let m(k) = 9*k**3 + 15*k**2 + 134*k - 1. Let j(r) = 6*b(r) + m(r). Find the second derivative of j(s) wrt s.
90*s + 30
Find the second derivative of v**3 - 25*v**3 - 8 - 34*v + 7 - 8*v wrt v.
-144*v
What is the derivative of -514 - 373*c + 234 + 2 wrt c?
-373
Suppose -3*i - 4*k + 16 = 0, 5*i + 2*k = -k + 34. Suppose -2*f + i + 4 = 0. Find the third derivative of 0*o**5 - 5*o**2 + f*o**5 + 2*o**2 + 0*o**5 wrt o.
360*o**2
Let p(x) be the first derivative of -x**6/6 + 58*x**3/3 - 15*x**2/2 - 374. Find the second derivative of p(v) wrt v.
-20*v**3 + 116
What is the second derivative of 2*o - 79*o**3 + 43*o**3 - 2*o**5 + 322 + 119*o**3 + 185*o**3 wrt o?
-40*o**3 + 1608*o
Suppose -8*v = -3*v - 70. What is the second derivative of -v*i - 30*i**4 + 22*i**4 + 18*i**4 wrt i?
120*i**2
Let t(r) be the second derivative of 0 + 3/20*r**5 + 3/4*r**4 + 0*r**3 + 9*r + 0*r**2. Find the third derivative of t(c) wrt c.
18
Suppose 0*t + 2*t = 4*c - 8, 0 = 5*c + 5*t - 25. What is the second derivative of -3*n**5 - 38*n + c*n**5 - 14*n**5 wrt n?
-280*n**3
Find the first derivative of 10*m**2 + 470 + 6*m**2 - 81 + 47 + 2*m + 120*m**2 wrt m.
272*m + 2
Let f(q) be the second derivative of -q**6/240 - q**5/60 + 25*q**4/12 + 25*q. Let o(r) be the third derivative of f(r). Find the first derivative of o(i) wrt i.
-3
Differentiate 36 - 11 + 26*z**2 + 19 wrt z.
52*z
Let s be (-2)/(-4) + (-14)/(-4). Suppose -5*d + 36 - 6 = 0. Find the third derivative of -3*w**2 - d*w**3 + s*w**3 - 3*w**2 wrt w.
-12
Let a = 72 + -52. What is the third derivative of -3*j**6 + 2*j**6 + 5*j**2 + a*j**2 wrt j?
-120*j**3
Let w = 18 - 47. Let o = -21 - w. Differentiate -2*p + o + 3*p + 3*p wrt p.
4
Find the second derivative of -1005*r**3 + 1318*r**3 + 13*r - 2 - 98*r - 30*r wrt r.
1878*r
Suppose -8*v = -0*v - 32. What is the second derivative of -22*y**v + 23*y**4 + y - 2*y - 6*y wrt y?
12*y**2
Suppose 0 = 3*c - 18 + 9. What is the third derivative of h**3 - 7*h - 15*h**c + 7*h + 28*h**2 wrt h?
-84
Let x(q) = -q**2 - 11*q - 6. Let i be x(-10). What is the second derivative of 11*p**4 + 3*p**i + 11*p**3 + 8*p - 11*p**3 wrt p?
168*p**2
Let t be 472/56 - 3/7. Let g(z) = -z**2 + 8*z + 7. Let q be g(t). Differentiate 2 + 4*f - 7 + q - 3*f wrt f.
1
Let s(r) be the third derivative of -3*r**8/28 - r**6/120 + r**5/20 + 20*r**3/3 - 3*r**2 - 93*r. Find the third derivative of s(c) wrt c.
-2160*c**2 - 6
Let k(d) be the first derivative of -11*d**5/60 - d**3 - 9*d**2 + 21. Let x(j) be the second derivative of k(j). Find the first derivative of x(n) wrt n.
-22*n
Let k(r) = 124*r**3 + 23*r**2 - 4*r - 1. Let p(l) = 246*l**3 + 44*l**2 - 9*l - 3. Let h(s) = 9*k(s) - 4*p(s). What is the third derivative of h(z) wrt z?
792
Let h = -2 - -4. Suppose 3*u + w - 7 = -3, 5*u = -2*w + 6. What is the third derivative of 3*k**h - u*k**2 + 2 - 2 + 2*k**5 wrt k?
120*k**2
Let d = -1926 - -1933. Let y(t) be the second derivative of 0*t**3 + 1/4*t**4 + d*t - 1/10*t**5 + 0*t**2 + 0. What is the third derivative of y(i) wrt i?
-12
Suppose -3*u - 4*d = -u - 7988, 3982 = u + 5*d. What is the third derivative of 3963*p**3 - u*p**3 + 3 - 19*p**2 - 3 wrt p?
-234
Differentiate -35*c**3 + 1 - 32 + 4*c**3 with respect to c.
-93*c**2
Let x(c) = c. Let q be (-117)/18 - 1/(-2). Let m(o) = -11*o**2 - 6*o - 11. Let t(d) = q*x(d) - m(d). Differentiate t(u) wrt u.
22*u
Let r(j) be the second derivative of 0*j**2 - 36*j + 0 + 43/20*j**5 + 0*j**3 - 19/6*j**4. Find the third derivative of r(c) wrt c.
258
Let n(r) be the second derivative of -28*r**5/5 + 13*r**2 - 2*r + 93. Find the first derivative of n(w) wrt w.
-336*w**2
What is the second derivative of -71*i**4 - 19*i**4 + 57*i - 184*i wrt i?
-1080*i**2
Let m(h) be the first derivative of -1/2*h**4 - 10*h - 12/5*h**5 + h**3 + 36 + 0*h**2. What is the third derivative of m(d) wrt d?
-288*d - 12
Suppose 3*r + 1 + 5 = 0. Let u be 1 + (-1 + 3 - r). What is the second derivative of -z - 11*z**5 + 6*z**u + 6*z**5 wrt z?
20*z**3
Let k(s) be the second derivative of 0 + 0*s**4 - 9/20*s**5 + 5*s**2 + 0*s**3 + 7*s. Find the first derivative of k(f) wrt f.
-27*f**2
Find the third derivative of 34*v**2 - 770*v**6 + 694*v**6 - 112*v - 3*v**4 + 116*v wrt v.
-9120*v**3 - 72*v
Let o = 142 - 98. What is the second derivative of o*a**2 + 0*a - 40*a**2 + a wrt a?
8
Let k(g) be the third derivative of 61*g**6/40 + 41*g**5/30 + g**4/12 + g**2 - 24*g. Find the third derivative of k(m) wrt m.
1098
Let g(f) = -1118*f**2 - 14*f + 326. Let j(n) = -372*n**2 - 5*n + 111. Let c(s) = 3*g(s) - 8*j(s). What is the second derivative of c(x) wrt x?
-756
Let y(m) be the second derivative of -22*m**5/5 - 31*m**4/2 + 102*m. What is the third derivative of y(c) wrt c?
-528
Let a(w) = w**3 + 2*w**2 + w - 2. Let l be a(-2). Let s be 5 + 0/(l - -8). Find the third derivative of 20*p - 20*p + s*p**5 - 9*p**2 wrt p.
300*p**2
Suppose 2*l - 3*l = -5*n + 24, 3*n = -2*l + 4. What is the second derivative of 26*a**4 + n*a - 3*a - 29*a**4 wrt a?
-36*a**2
Let z(m) be the third derivative of 359*m**7/210 - 119*m**3/3 + 12*m**2 - 4*m. Find the first derivative of z(g) wrt g.
1436*g**3
Let c(h) be the third derivative of 167*h**7/35 + 833*h**3/6 + 166*h**2 - 2. What is the derivative of c(m) wrt m?
4008*m**3
What is the first derivative of -361*q**4 - 18 - 81 + 389*q**4 wrt q?
112*q**3
Let v(d) be the first derivative of d**8/336 - d**6/180 - 2*d**3/3 + 10. Let i(a) be the third derivative of v(a). What is the third derivative of i(h) wrt h?
120*h
Suppose k - 5*p + 11 = -0*k, 5*p - 15 = 0. What is the third derivative of -y**2 - 13*y**2 - 2*y**2 - 11*y**k wrt y?
-264*y
Let q(c) be the third derivative of -47*c**5/60 + 17*c**4/24 - 3*c**2. Find the second derivative of q(g) wrt g.
-94
Let i(b) = 120*b**3 + 6*b**2 + 19*b - 117. Let t(f) = -241*f**3 - 11*f**2 - 35*f + 233. Let m(v) = -11*i(v) - 6*t(v). Find the second derivative of m(d) wrt d.
756*d
Let g(b) = 348*b**2 - 246. Let i(z) = 117*z**2 - 82. Let s(n) = 5*g(n) - 14*i(n). What is the first derivative of s(w) wrt w?
204*w
Let o be 15/6*12/5. Find the second derivative of 18 - 33 + o*b + 15 + b**3 wrt b.
6*b
Let j(q) = q + 6. Let p be j(4). What is the second derivative of o**3 - 26*o + 2*o**3 - p*o**2 + 10*o**2 wrt o?
18*o
What is the second derivative of 115*a**2 + 914*a - 91*a**2 + 57*a**2 + 223*a**2 + 115*a**2 wrt a?
838
Let p(u) be the first derivative of u**4/6 + 35*u**3/6 + 4*u**2 + 8. Let s(c) be the second derivative of p(c). Differentiate s(a) wrt a.
4
What is the second derivative of -q - 14 + 3826*q**4 - 3525*q**4 + 0*q wrt q?
3612*q**2
Let w(r) = r**2 + r + 183. Let v(p) = 2*p**2 + 4*p + 549. Let y(h) = -2*v(h) + 7*w(h). Differentiate y(g) with respect to g.
6*g - 1
Let v(h) = 127*h**2 - h**3 - 67*h**2 - 61*h**2 + h - 1. Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
8*i**3/5 - 30672*i**2/5 - 2232576*i/5 - 29942784/5.
-(i - 228)**2*(i + 24)**2/5
Find i such that 2*i**5 - 22*i**4 - 930*i**3 + 5950*i**2 - 5000*i = 0.
-20, 0, 1, 5, 25
Factor -2*y**3/13 + 58*y**2/13 + 684*y/13.
-2*y*(y - 38)*(y + 9)/13
What is q in q**2 + 1706*q + 3408 = 0?
-1704, -2
Solve -9*i**4 - 6522*i**3 - 1575672*i**2 - 127253760*i - 84137472 = 0.
-248, -228, -2/3
Let 5*s**4 - 4980*s**3 - 5*s**2 + 4980*s = 0. What is s?
-1, 0, 1, 996
Factor 2*t**4 - 174*t**3 + 3194*t**2 - 5874*t + 2852.
2*(t - 62)*(t - 23)*(t - 1)**2
Let 3*b**5 - 4680*b**4 - 18777*b**3 + 14046*b**2 + 46944*b - 37536 = 0. What is b?
-4, -2, 1, 1564
Let m**4/7 + 366*m**3/7 - 1480*m**2/7 = 0. Calculate m.
-370, 0, 4
Factor -5*r**2 + 72160*r + 72165.
-5*(r - 14433)*(r + 1)
Factor -3*t**2 - 204*t - 1440.
-3*(t + 8)*(t + 60)
Factor -5*a**3/4 + 355*a**2/4 - 3215*a/2 + 2870.
-5*(a - 41)*(a - 28)*(a - 2)/4
Find d, given that -2*d**3/5 + 47682*d**2/5 - 47676*d/5 - 19072 = 0.
-1, 2, 23840
Determine u so that -21*u**3 + 226*u**2 + 259*u - 2244 = 0.
-68/21, 3, 11
What is t in -2*t**3 + 16262*t**2 - 32518*t + 16258 = 0?
1, 8129
Find c, given that 3*c**2/5 + 15648*c + 102024960 = 0.
-13040
Factor -x**2/2 - 122149*x - 14920378201/2.
-(x + 122149)**2/2
What is w in 14*w**2/9 + 307528*w/9 + 29288/3 = 0?
-21966, -2/7
Factor -26611245*f**2 - 23070*f - 5.
-5*(2307*f + 1)**2
What is k in 35*k**4/8 + 11653*k**3/4 - 834527*k**2/8 + 445781*k/4 + 40425 = 0?
-700, -2/7, 7/5, 33
Suppose 5*i**4 + 480*i**3 - 2025*i**2 - 2500*i = 0. Calculate i.
-100, -1, 0, 5
What is b in -2*b**4/7 - 64*b**3/7 + 388*b**2/7 + 1728*b + 6930 = 0?
-33, -7, 15
Factor -2*k**3 - 1522*k**2 - 7532*k + 21168.
-2*(k - 2)*(k + 7)*(k + 756)
Factor 5*d**2 - 1475*d - 2970.
5*(d - 297)*(d + 2)
Solve -5*x**5 + 275*x**4 - 3695*x**3 + 13145*x**2 + 14860*x - 56980 = 0 for x.
-2, 2, 7, 11, 37
What is g in 39*g**2 + 732*g/7 + 459/7 = 0?
-153/91, -1
Factor t**3/4 - 1103*t**2/4 + 62282*t + 7903556.
(t - 596)**2*(t + 89)/4
Find q such that 5*q**3 - 1275*q**2 + 3790*q - 2520 = 0.
1, 2, 252
Factor 2*z**3 + 1072*z**2 - 2150*z + 1076.
2*(z - 1)**2*(z + 538)
Factor -4*a**2 + 2725948*a + 2725952.
-4*(a - 681488)*(a + 1)
What is p in p**4/5 + 10*p**3 - 103*p**2 - 552*p + 11484/5 = 0?
-58, -6, 3, 11
Factor 4*m**4 + 1856*m**3 + 61904*m**2 + 116416*m.
4*m*(m + 2)*(m + 34)*(m + 428)
Factor -3*x**2/7 + 1095*x/7 + 5550/7.
-3*(x - 370)*(x + 5)/7
Factor 2*r**3 - 476*r**2 + 8498*r - 38544.
2*(r - 219)*(r - 11)*(r - 8)
Factor 2*o**4 - 788*o**3 + 17886*o**2 - 46620*o.
2*o*(o - 370)*(o - 21)*(o - 3)
Let 2*m**5 + 9096*m**4 - 18206*m**3 - 27284*m**2 + 72792*m - 36400 = 0. Calculate m.
-4550, -2, 1, 2
Let -y**5/7 - 246*y**4 - 11993*y**3/7 + 20756*y**2/7 + 302160*y/7 + 78400 = 0. What is y?
-1715, -4, 5
Find f, given that -2*f**2/5 - 17520*f = 0.
-43800, 0
Factor 4*o**2 + 24296*o + 36893476.
4*(o + 3037)**2
Factor v**4 + 32*v**3 - 140*v**2 + 144*v.
v*(v - 2)**2*(v + 36)
Find f, given that -3*f**5 - 58*f**4 - 58*f**3 + 248*f**2 - 75*f - 54 = 0.
-18, -3, -1/3, 1
Determine l, given that -l**2/3 + 17164*l/3 - 22880 = 0.
4, 17160
Solve -m**5/10 - 9*m**4 - 258*m**3/5 - 508*m**2/5 - 336*m/5 = 0 for m.
-84, -2, 0
What is m in -m**2/3 + 283*m/3 + 1386 = 0?
-14, 297
Find g such that 5*g**4 + 5505*g**3 + 597375*g**2 - 567253125*g = 0.
-675, 0, 249
Suppose -3*h**5 + 3882*h**4 + 7773*h**3 + 3888*h**2 = 0. Calculate h.
-1, 0, 1296
Determine j so that -4*j**2 + 12704*j + 38148 = 0.
-3, 3179
Determine i so that -2*i**2/9 - 1798*i/9 - 1792/3 = 0.
-896, -3
Factor 4*p**3 + 1280*p**2 - 22796*p + 40440.
4*(p - 15)*(p - 2)*(p + 337)
Solve -g**2 - 2807*g + 2808 = 0.
-2808, 1
Find f, given that -3*f**3 + 7014*f**2 - 7011*f = 0.
0, 1, 2337
Solve 4*g**4 - 608*g**3 + 30432*g**2 - 589696*g + 3421760 = 0.
10, 34, 74
Let 3*t**4 + 255*t**3 + 246*t**2 - 504*t = 0. Calculate t.
-84, -2, 0, 1
Let 6*o**4/11 + 6*o**3 - 84*o**2/11 - 144*o/11 = 0. Calculate o.
-12, -1, 0, 2
Let -3*z**4 + 7899*z**3 + 47547*z**2 - 118455*z - 791700 = 0. What is z?
-5, 4, 2639
Factor -717409*c**3/3 - 6776*c**2 - 48*c.
-c*(847*c + 12)**2/3
Determine y so that -4*y**3 - 112*y**2 + 21964*y + 22072 = 0.
-89, -1, 62
Solve k**4/4 + 13605*k**3 + 185096025*k**2 = 0 for k.
-27210, 0
Determine n, given that 3*n**4 + 1008*n**3 + 55071*n**2 + 107130*n + 53064 = 0.
-268, -66, -1
Factor -4*t**2 + 1902472*t - 226212481924.
-4*(t - 237809)**2
Suppose 2*o**2/21 + 16930*o/7 = 0. Calculate o.
-25395, 0
Factor -2*v**2/3 - 76492*v/3 - 731378258/3.
-2*(v + 19123)**2/3
Find p such that -2*p**3/11 + 8318*p**2/11 + 41632*p/11 + 33312/11 = 0.
-4, -1, 4164
Factor 2*t**3/17 - 11262*t**2/17 - 11264*t/17.
2*t*(t - 5632)*(t + 1)/17
Factor z**3/4 - 1185*z**2/4 + 330687*z/4 + 12239073/4.
(z - 609)**2*(z + 33)/4
Suppose 3*o**4/8 - 249*o**3/8 - 657*o**2/4 - 69*o + 264 = 0. Calculate o.
-4, -2, 1, 88
Let 1603083*c**4 - 1629399*c**3 + 26424*c**2 - 108*c = 0. Calculate c.
0, 6/731, 1
Suppose 48*u**4/5 - 43556*u**3/5 - 32802*u**2/5 + 98106*u/5 - 21796/5 = 0. What is u?
-2, 1/4, 1, 5449/6
Find n such that -4*n**5 + 84*n**4 + 5176*n**3 + 14984*n**2 + 14796*n + 4900 = 0.
-25, -1, 49
Suppose -5*a**4/4 + 37*a**3 - 1065*a**2/4 + 1025*a/2 + 250 = 0. What is a?
-2/5, 5, 20
Factor -4*l**2/3 + 96704*l/3 - 584478976/3.
-4*(l - 12088)**2/3
Factor -4*y**2 + 1284*y - 32816.
-4*(y - 293)*(y - 28)
Factor -3*j**2 + 845262*j - 845259.
-3*(j - 281753)*(j - 1)
Solve -i**4 - 97*i**3 + 5607*i**2 + 17485*i + 11782 = 0.
-137, -2, -1, 43
Solve q**4 - 4119*q**3 + 4288512*q**2 - 96468992*q = 0 for q.
0, 23, 2048
Factor -2*m**3/3 + 56132*m**2 - 1181550534*m.
-2*m*(m - 42099)**2/3
Suppose -2*l**3 + 72*l**2 + 6072*l + 77440 = 0. Calculate l.
-22, 80
Factor 4*z**3 - 2536*z**2 + 65444*z + 67984.
4*(z - 607)*(z - 28)*(z + 1)
Suppose 2*o**4/11 + 1092*o**3/11 + 136638*o**2/11 + 133372*o/11 - 271104/11 = 0. Calculate o.
-353, -192, -2, 1
Suppose -z**4/6 - 136*z**3/3 - 2147*z**2/2 - 1833*z + 2952 = 0. What is z?
-246, -24, -3, 1
Determine g so that 2*g**5/3 - 97*g**4/3 + 207*g**3 - 239*g**2/3 - 287*g/3 = 0.
-1/2, 0, 1, 7, 41
Solve -2*n**3 + 21448*n**2 - 21446*n = 0 for n.
0, 1, 10723
Factor -4*t**2 + 9180*t - 9176.
-4*(t - 2294)*(t - 1)
Determine v so that 50*v**4 + 3065*v**3 + 3915*v**2 + 900*v = 0.
-60, -1, -3/10, 0
Factor -40208*s**2 + 281460*s - 28.
-4*(s - 7)*(10052*s - 1)
Let 2*v**2/13 - 59928*v/13 = 0. What is v?
0, 29964
Find m, given that -2*m**5/3 - 502*m**4 - 281182*m**3/3 + 298382*m**2 + 2391984*m + 2000376 = 0.
-378, -3, -1, 7
Factor -5*f**2 - 2300490*f - 264612712005.
-5*(f + 230049)**2
Let 4*n**5/3 + 80*n**4/3 - 88*n**3/3 - 80*n**2/3 + 28*n = 0. What is n?
-21, -1, 0, 1
Factor 5*w**2 + 2210*w + 244205.
5*(w + 221)**2
What is i in i**5 - 3021*i**4 + 2298123*i**3 - 24879155*i**2 - 27180300*i = 0?
-1, 0, 12, 1505
Suppose 3*a**3/7 + 29493*a**2/7 = 0. What is a?
-9831, 0
Suppose -5*m**3 + 807415*m**2 - 32597160200*m + 97784214000 = 0. Calculate m.
3, 80740
Solve -p**3/8 + 17*p**2/4 - 40*p + 100 = 0 for p.
4, 10, 20
Let v**2/9 + 60*v = 0. What is v?
-540, 0
Suppose 4*i**4 - 180*i**3 - 8412*i**2 + 17348*i - 8760 = 0. What is i?
-30, 1, 73
Let -3*p**3/4 - 510*p**2 + 361353*p/4 - 179655/2 = 0. Calculate p.
-826, 1, 145
Solve -w**3/2 + 106*w**2 + 5641*w/2 + 2714 = 0 for w.
-23, -1, 236
Let 30*r**4 + 399*r**3 - 30*r**2 - 399*r = 0. What is r?
-133/10, -1, 0, 1
Factor 2*o**3/23 + 722*o**2/23 - 2*o/23 - 722/23.
2*(o - 1)*(o + 1)*(o + 361)/23
Find c such that 3*c**2/7 - 4206*c/7 - 8424/7 = 0.
-2, 1404
Let -4*p**3/3 + 2548*p**2/3 - 377692*p/3 - 3030748 = 0. What is p?
-21, 329
Factor -2*p**2 - 15798*p.
-2*p*(p + 7899)
Factor -2*v**2/11 + 6420*v/11.
-2*v*(v - 3210)/11
Find o, given that 9*o**5 - 15693*o**4 + 104364*o**3 - 250272*o**2 + 250176*o - 83376 = 0.
2/3, 2, 1737
Suppose 2*z**2/5 + 7284*z/5 - 29168/5 = 0. Calculate z.
-3646, 4
Factor q**2/5 - 4163*q/5 + 70482/5.
(q - 4146)*(q - 17)/5
Solve -2*a**3/5 + 358*a**2 + 29266*a/5 - 103854/5 = 0 for a.
-19, 3, 911
Factor 4*k**2 - 261008*k - 783060.
4*(k - 65255)*(k + 3)
Factor 4*i**2 - 21660*i + 624776.
4*(i - 5386)*(i - 29)
Solve 5*l**3 + 897435*l**2 + 40272619800*l + 281864366000 = 0.
-89740, -7
Factor -l**2/5 + 8636*l/5 - 18645124/5.
-(l - 4318)**2/5
Let 2*x**4 - 61*x**3 + 294*x**2 - 485*x + 250 = 0. Calculate x.
1, 2, 5/2, 25
Factor -2*d**
|
{
"pile_set_name": "DM Mathematics"
}
|
6)?
23
Calculate 18 + (-5 - -19) + (-5 - (29 + -12)).
10
What is 7 + 7 + -22 + -13 - (35 - -19)?
-75
What is the value of (-2081 - -2062) + 2 + -2 + 30?
11
What is the value of 1090 + -1058 + (0 - -2) - 61?
-27
Calculate 91 + -99 + 22 + 27.
41
What is (65 - 81) + 51 + 19?
54
Calculate (118 - (154 + -41)) + -2 + 11 + -2.
12
What is the value of 6 + 17 + -9 + 38 + 17 + -30?
39
-8 + 0 + -4 + (-20 - -20) - 70
-82
Evaluate -94 + 185 + -56 + -23.
12
Calculate -9 - (11 + 7 + -19) - (-12 - 5).
9
What is (-1 + -2 - -86) + (-79 - -53)?
57
Calculate -24 + (-47 - (-52 + 3)).
-22
Calculate 73 - ((-1 - (-31 + 25)) + -42).
110
Evaluate 1 + -145 - (-9843 + 9789).
-90
(-9 - (-16 + 6)) + (-8 - -29) + 12
34
What is the value of 59 + (10 - (2 - -49))?
18
What is the value of (17 + 30 - -3) + (3 - 13 - (-2 - 0))?
42
(-27 - -9) + (38 + -19 - 72)
-71
What is the value of (-16 - (-8 + -6)) + -48?
-50
Calculate 2 + (2 - (-11 + 5)) + -1 + (-70 - 8).
-69
Evaluate 3 - 5 - ((-133 - -42) + 105).
-16
Calculate (45 - (25 - -5)) + -6 + -1 - 73.
-65
Calculate -1 + 32 - (-16 - (19 + -3) - -19).
44
What is the value of (5854 - 5827) + (2 - (2 - -62))?
-35
Evaluate 1 + -6 + -1 + -1 + (-328 - -456) + -115.
6
-12 + 58 + (-8 - 18) + -23
-3
What is (15 - ((11 - 31) + 25)) + (3 - (2 + -16))?
27
Calculate -40 - -1 - (2377 + -2500).
84
What is the value of -30 + 3 + 33 + -83 + 38?
-39
Calculate 6 + 2 + 6 + (-1 - -6) + -18 - -62.
63
What is 16 + -15 + -5 + -1 + -2 + 3 + -44?
-48
Evaluate -7 + -1 - -131 - ((7 - (5 - 14)) + -31).
138
What is 3 - -6 - 3 - (7 + -7 + 11) - 11?
-16
-32 + -102 + -188 + 251
-71
Evaluate 8 - (25 + -26) - (-39 + 6).
42
Evaluate -154 - (-66 - 4) - -56.
-28
-1 + 9 + -290 + 258 + (-1 - -51)
26
108 - (33 + 68) - 54
-47
What is the value of 12848 - 12806 - (-1 - (1 - -1 - (10 - 1)))?
36
What is -21 + 14 + 1 + -3 - (50 + 16 - 48)?
-27
Calculate (-1 - 8) + (66 - (-1 - -48)) - -61.
71
-99 + (76 - -23) + -88
-88
Calculate -1153 + 1209 - (0 - -31).
25
2 + -25 - (36 + 28 + -91)
4
What is 51 - (-5 + 21) - 12 - 22?
1
What is -19 + (39 - (-21 - (-14 - 22)))?
5
Calculate 11 - (-12 + (-19 - -13 - 17)).
46
-8 - (8 - 12) - -35 - 33
-2
What is the value of 6 + 2 + 15 + -10 + 3 + 7?
23
(-13 - 0) + -12 + (18 + -67 - (1 + 6))
-81
Evaluate 2 - (-6 - 2 - 15) - (-1 - 7).
33
What is -165 - -71 - -94 - -28?
28
What is the value of (74 - -5) + (39 - (-36 - -74))?
80
-40 - (-21 + -1 + 27 - 11)
-34
-264 + 280 + (5 - (4 + 18))
-1
What is 6 - (55 - (68 + -50))?
-31
17 + (-19 + (-6 - -14) - -2 - -34)
42
What is the value of 18 + -62 + 21 + (-8 - 48)?
-79
Evaluate (-8 - (7 - 17)) + (14 - 0 - 90) + 11.
-63
Evaluate -26 + 0 - (91 - (217 + -121)) - 26.
-47
21 + 1 + -29 - ((-7 - -1) + 84 + -2)
-83
Calculate (-32 - -1) + (14 - 5 - 11 - 17) + 28.
-22
What is the value of -33 + 24 + (-10 - -7) + 69?
57
Evaluate -40 + (37 - 52) + 15.
-40
What is (-23 - ((-82 - -28) + 7)) + (22 - 0)?
46
What is the value of 9 + -5 + ((5 - -2) + -1 - (18 - 12))?
4
Evaluate (-5 - (-1 + -1)) + (33 - (52 - 15 - 17)).
10
What is the value of (36 - (2 - 4)) + (-543 - -543)?
38
What is the value of -8 + ((0 - 17) + 27 - 9)?
-7
Evaluate 45 - (17 + (-11 + 0 - (-6 + 14))).
47
Calculate 159 - (40 + -86 + 72) - (15 + 2).
116
-13 + -17 + (-2 + (-7 - -6) - -3)
-30
Calculate -39 - (-12 + (44 - 37)).
-34
What is 106 + 26 + (111 - 128)?
115
-5 - -2 - -39 - (85 + 4 - 66)
13
What is the value of -55 - (24 - (-66 + 101))?
-44
What is the value of -32 + -42 - (1 - ((-4 - -2) + -3 - -6))?
-74
10 - 1 - (7 + 3 - (-34 + 51) - -11)
5
What is the value of (1164 - 1070) + 45 + -2?
137
What is 150 - (-118 + (104 - -158))?
6
What is 21 + (5 - (3 + 8)) - 48 - 2?
-35
What is the value of 18 + -6 + -1 + 3 + -22 - -15?
7
What is the value of 11 + 5 + -15 + 57 + -13 + -3 + 6?
48
Calculate 8 + (17 - 28) + 18.
15
Calculate -23 - -13 - (-65 - -47).
8
What is 118 + -82 - (65 - (-15 + 5))?
-39
What is -5 + -3 + -55 + (10 - (-18 - -38))?
-73
Calculate 50 - (-15 - -22) - 12 - 5.
26
Evaluate 67 + (37 - 29) - 83.
-8
What is -42 + 3 + (-11 - -48) + -47?
-49
What is the value of (-70 - (76 + -96)) + 11?
-39
What is 0 - 8 - 16 - (3 - -5)?
-32
(8 - -1) + (35 - 1 - (-90 + 71 + 30))
32
73 - 37 - 49 - -19
6
What is 44 + 46 + -50 + -22?
18
19 + (24 - -2 - 21) + (7 - 2)
29
Calculate -5 + 2 + -9 - -18 - 11.
-5
Calculate -4 - -48 - (995 - 990).
39
What is the value of -14 + 0 + -21 + -22 + 31?
-26
What is the value of 36 - ((2 - (2 - 5)) + -14 - 5)?
50
Calculate -30 - (19 - 49) - 43 - -135.
92
What is (-36 - -34 - -35) + -82?
-49
What is the value of (-351 - -342) + -23 + -2 + -33 + 33?
-34
What is the value of -30 - (-17 - (84 + (-9 - 1)))?
61
What is the value of 68 - (93 + -50 + 12)?
13
What is -46 - ((-1 + 7 - -8) + (12 - 40))?
-32
Calculate -13 - (-5 - (-22 + 20)) - -26.
16
-64 + -3 - (16 - (-6 + (-49 - -79)))
-59
Evaluate (-22 + (22 - -13) - 19) + -16.
-22
What is 10 + 48 + (104 - 146)?
16
What is the value of 9 + -37 + (-29 + 12 - -28)?
-17
Evaluate 315 + -398 - (-21 + -2).
-60
-11 + ((-1 - 7) + 8 - (-2 + -4))
-5
-21 + (2 + 1 - (-120 - -142)) + 18
-22
Calculate (-2 - 3 - -4) + -33 + 38 - 49.
-45
Calculate (175 - 74) + (-232 + 246 - (-1 + 19)).
97
What is the value of -4 + 3 + (1 - 17 - (-5 - -29 - 82))?
41
31 + 28 + -14 - (17 - 5 - 7 - 4)
44
What is 12 + (-4 - 8) + (19 + 15 - 4)?
30
Calculate -49 + (25 - 13) + 64.
27
Evaluate (61 - (-39 + 65) - 25) + 68 + 0.
78
What is 3 + -1 + (-5 - ((-1 - 10) + -30 - 1))?
39
Calculate 986 - 978 - (15 - -1) - (-26 - 0).
18
Calculate 8 - (-7 + 0 - -36) - (-27 - -1).
5
Evaluate 18 - ((-73 - -18) + 27).
46
What is (5 - -11) + -28 + 8 + -6 + (3 - 2)?
-9
What is (45 - (39 - -19)) + 10?
-3
Calculate -8 + 21 + -1 - (-7 + 23 + 9 + -8).
-5
What is the value of -34 + 45 + -47 - -54?
18
Evaluate -119 + (-116 - -124) + 171.
60
What is -97 + 7 + 50 + -9?
-49
6 + -1 + 4 + (9 - ((-3 - 12) + 7))
26
Evaluate -16 + 13 + -9 - (3 - -13) - -1.
-27
What is 54 + -27 - 62 - ((-5 - -2 - 1) + -7)?
-24
Calculate (41 - (-95 - -60)) + -19.
57
What is the value of -7 + (-8 - -7) + (12 + -11 - 19) + 7?
-19
Evaluate 21 + -10 + -62 - (20 - 24).
-47
Calculate (164 - 76) + 135 - 80.
143
Evaluate 0 + -46 - ((-1 - -67 - 52) + -15 + 0).
-45
-18 + 7 + -4 - (-1 + -18 - -22)
-18
Calculate -57 - (-37 + (-19 - -30) + 11).
-42
What is the value of 155 + -67 + (46 - 13)?
121
What is the value of (-177 - -188) + (-17 - 25)?
-31
-35 + -2 + 7 + (-83 - -79)
-34
-191 + 255 - (-9 + 25)
48
(5 - 60) + 798 + -785
-42
What is (-2 - 6 - (4 + 50 + -14)) + -3?
-51
Evaluate (0 - -57 - (2949 + -2926)) + -19 + 1.
16
What is -47 + 4 - ((-12 - 0) + (-128 - -126))?
-29
What is the value of 17 + -25 - (3 - 28)?
17
Evaluate 7 + (603 - 600 - (0 + -5)).
15
What is (-12 - (11 + -21 + 3 + 28)) + 8?
-25
((-9 - -17) + -1 + -1 - -6) + (-44 - -3)
-29
What is -50 + 19 + (-26 - -34)?
-23
What is the value of 55 + (-120 - -34 - -93)?
62
What is (1 - 10) + 35 + (-55 - -13) - -12 - -54?
50
Calculate -1 + 134 - (5638 - 5561).
56
What is the value of (-111 + -1 - -2) + -9819 + 9793?
-136
Evaluate 5 - 4 - (64 + -82) - (25 + -61).
55
What is the value of 2 + -55 - (68 + 12 + -79)?
-54
66 - 60 - (-3 + 5 + 5 - -28)
-29
Calculate -31 - 46 - -51 - (-9 - (-3 + 2 - 0)).
-18
18 - 7 - -10 - (17 - 18)
22
Calculate -80 - (-25 - 45 - -11).
-21
-2 + (23 + -49 - 7) + 156
121
Calculate (3 + 8 + -3 - 57) + (14 - 1).
-36
What is the value of (42 - (-59 - -54 - (-10 + -7))) + 10?
40
What is (6384 - 6487) + 81 + 0?
-22
Evaluate -3 + (9 - (34 - 71)).
43
-83 - -90 - -26 - (160 + -3)
-124
Calculate 11 + -1 + 3 - (-2001 - -1954).
60
(-58 - -29) + 60 - (5 - 1)
27
165 - 110 - (1 - -12)
42
-9 + (30 + -22 - (-12 + 1)) - -84
94
Evaluate 1 - 65 - (45 - 59) - -14 - -10.
-26
Evaluate -27 - 4 - -16 - (-2 - 5 - 0) - -46.
38
-7 + (-33 - -20 - 16) + (18 - 3)
-21
Evaluate -1 + -16 + 0 + -7 + (-11 - (-4 + -7)).
-24
What is the value of 46 + (13 - 5) - 50?
4
4 + -7 + (5 - (-1 + 7 + -7)) - -23
26
What is the value of 14 - (10 - 13 - (2 - 9)) - -16?
26
(-1 - (4 + -3)) + 16 - (16937 + -16846)
-77
Evaluate -2 + -9 - ((10 - -28 - 19) + -49 - 21).
40
8 + 21 + -43 - -8 - -74
68
-16 - (-3 + 25 - 6 - 19)
-13
What is 30 + (-8 - (49 - 21)) - -11?
5
What is the value of (4 - (6 + -3 + -7 - 11) - -14) + 15?
48
What is (1 - (-4 + (3 - 8) + (-5 - -6))) + 51?
60
E
|
{
"pile_set_name": "DM Mathematics"
}
|
+ z*r - 4 = 0. Solve b + y = 1 for b.
1
Suppose 0 = 3*z - 2*f - 25, -15*z + 11*z + 22 = 3*f. Suppose -2*t = -t - 3. Suppose 4*p - 1 = t. Solve -3*h = -z + p for h.
2
Suppose 4*o - 14 = -2. Suppose -2*b - 2*x = 2*b - 18, 2*b - 5 = 3*x. Suppose 2*n + n - b*t - 12 = 0, 0 = 5*n - 5*t - 15. Solve o*d - 12 = -n*d for d.
4
Suppose k - 376 = -374. Solve 42*g - 41*g = k for g.
2
Suppose 0 = 6*k - 5*k + 3. Let w be (5/30*k)/(3/(-18)). Solve -w*t = -t for t.
0
Let h = -147 - -147. Suppose -9*n - 3 + 48 = h. Solve -6 = -n*v + 19 for v.
5
Suppose 14*z - 18 = 8*z. Suppose 3*g + 3*r = 6*g, 0 = 3*g + z*r - 12. Solve -g*i = 2*i - 8 for i.
2
Suppose -2 = -3*t + 1. Let n = 192 - 192. Solve n = -i - t + 3 for i.
2
Let j = 378 + -373. Let p be (-1)/(0 - (-2)/(-46)). Solve -3 + p = -j*u for u.
-4
Let a be 180/(-120)*28/(-6). Solve -a*d = d + 40 for d.
-5
Let o be (7/(-9))/(6/(-54)). Solve -o*p + 2*p - 10 = 0 for p.
-2
Let s be 1 - ((-2)/(-2))/1. Suppose -1670 = -5*o - 1620. Let a(n) = n**3 - 4*n**2 - 6*n + 7. Let h be a(5). Solve s*b = -h*b + o for b.
5
Let y(x) = x**2 + 6*x + 7. Let b be y(-6). Let p = -13 + b. Let t be p*2/(-4) + 3. Solve 0*h = -2*h - t for h.
-3
Let m(i) = -7*i - 7. Let c(u) = -11*u - 11. Let y(t) = -5*c(t) + 8*m(t). Suppose -11*j - 18 = 48. Let h be y(j). Solve h*s - 3*s = 4 for s.
2
Let s(u) = -u**3 - 10*u**2 - 6*u - 31. Let r be s(-10). Suppose -2*l = -4*d - 48, 5*l + 4*d - r - 35 = 0. Solve -l = 5*o + 9 for o.
-5
Let m(t) = -t**2 - 20*t + 1. Let o be m(-20). Solve -11*p - o = 10 for p.
-1
Suppose -3*u = -4*l - 3 + 20, -5*l + u + 13 = 0. Suppose -2 = 3*z - l*i, z + i - 5 = 1. Solve d = 2*d - z for d.
2
Suppose 5*s - 15 - 5 = 0. Let k be (s/5)/(3/(-15)). Let n = k + 6. Solve 0 = -n*l + 16 - 6 for l.
5
Let o = -21 - -19. Let q be (-4)/(2 + 1*-4). Let h = o + q. Solve h*v = 3*v for v.
0
Let n = 30 + -26. Let p = 22 + -17. Solve -n*o = -p*o for o.
0
Let x(u) = u**2 + 10*u - 6. Let s be x(-11). Suppose -5*q - 2*a = -4*a, -3*a + 5 = -5*q. Solve 0 = -q*v + s*v for v.
0
Let g be 48/(-216) + 112/18. Solve -s - 9 = -g for s.
-3
Let s = -10 - -11. Suppose -p = -s, -5*r = 2*p - 11 - 11. Solve -r*v - 8 = -0*v for v.
-2
Let w be 87/24 - (-96)/256. Solve w*n - 15 = 7*n for n.
-5
Let p = 58 - 10. Suppose p = -q + 7*q. Suppose -5*f + q = -4*f - 2*z, -2 = -4*f - 2*z. Solve -f*g - 4 = -2 for g.
-1
Let p = -40 - -78. Suppose 2 = 2*v - p. Solve 3*n + 2*n = v for n.
4
Suppose -3*q + 4 = -q. Suppose -q*k - 2 = -3*k. Solve k = -y + 2*y for y.
2
Let d(l) = 7 + 4*l + 15*l**2 - 28*l**2 - l**3 + 11*l**2. Let o be d(-3). Solve 0 = -2*p + o*p + 2 for p.
-1
Suppose 85*h - 72 = 67*h. Solve h*b = -2*b - 12 for b.
-2
Let z be 2/(-8) + -27*13/(-156). Solve z*t = 7*t + 10 for t.
-2
Let w(m) = m**3 - 3*m**2 - m - 27. Let p be w(5). Solve -32*v + 26*v - p = 0 for v.
-3
Suppose -3*i + 3*r + 84 = -2*r, -5*i - 3*r + 174 = 0. Let h = i - 27. Solve -4*u + 2*u = h for u.
-3
Suppose -5*n - 36*w + 34*w = -447, 0 = 3*n - 2*w - 281. Solve 12*b = 103 - n for b.
1
Let z(r) = 6*r - 76. Let o be z(14). Solve -o*k - 2 = -9*k for k.
2
Suppose -24 = c - 3*c + 4*p, p - 29 = -3*c. Solve -13*l + c = -8*l for l.
2
Let i(r) = 2*r + 5. Let h be i(0). Suppose h*f - 18 + 8 = 0. Solve -6 - 2 = -f*m for m.
4
Suppose 0 = -3*v + 1 + 5. Suppose 2*k - 3*k = v*x - 8, 24 = 4*x + 4*k. Suppose 1 = -y - x*m + 2, 8 = 4*y + 4*m. Solve -16 = -c - y*c for c.
4
Suppose 3*w + 58 = -5*p, -5*p - 1 = -5*w - 31. Let o be (12 + w)*(-1 + 1). Solve o*t + 2 = 2*t for t.
1
Let d(j) be the first derivative of -2*j**2 - 5. Let m be d(-3). Suppose m = 2*l - 4*k, -l + 10 = -8*k + 4*k. Solve 0*n + l*n = 2 for n.
1
Suppose -2*z + 65 = 29. Solve 0 = -z*o + 7*o + 11 for o.
1
Let j = 8 - 3. Solve -15 = -j*w - 5 for w.
2
Suppose -4*f = -p - 58 + 36, -2*p = 2*f - 6. Solve -2*w + f = -5 for w.
5
Suppose 0 = 2*h + 6, 3*h - 14 = -2*q + 5*h. Suppose w - 5 = q*a - a, -3*w - 2*a = -4. Solve -w*i + 2 = -0 for i.
1
Let c = -62 - -76. Solve 4*m = c + 2 for m.
4
Let k(i) = -i - 1. Let l(g) = 3*g + 4. Let o(r) = -4*k(r) - l(r). Suppose -3 = -4*x + 1. Let v be o(x). Solve v = -p - 2 for p.
-3
Let c = -8 - -10. Suppose -3*o - 3*w = -c*o - 5, 15 = 3*o + w. Suppose 1 + o = 2*r. Solve 0 = -7*a + r*a + 8 for a.
2
Let z be 10/15 - (-4)/(-6). Suppose 5*p = p - s + 16, 5*s = z. Suppose 2*v = -i - i + 8, p*i - 4*v - 32 = 0. Solve -2*f = -0*f - i for f.
3
Let d = -306 - -312. Solve d*u = 4*u - 6 for u.
-3
Suppose 4*j - 58 = -2*f, -4*f + 2*f - 50 = -5*j. Suppose -j*x + 16 = -4*x. Solve x + 6 = -2*s for s.
-4
Let o be 3/(-12) + (-2507)/(-92). Solve -y = -o + 30 for y.
-3
Let o = -30 + 195. Suppose 8 = -o*b + 169*b. Solve 5 = b*h - 3 for h.
4
Suppose 0 = -3*p - 0 + 12. Let w = -4 + p. Suppose w = -8*i + 4*i. Solve i = -4*m - m - 10 for m.
-2
Let l = -23 + 23. Solve l = -n - 5*n - 6 for n.
-1
Suppose -5*u = -20*u + 60. Suppose -12*t + 16 = -u*t. Solve -t*i - i - 3 = 0 for i.
-1
Suppose -5*g = -0*g - 15. Let i = 460 + -458. Solve i*p - g*p = 0 for p.
0
Suppose -5*p - 2*h = -20, 2*p - 3*h - 8 - 19 = 0. Solve -4*r = 14 + p for r.
-5
Let r(u) = -u**2 + 8*u + 3. Let s be r(7). Let c = s + -8. Suppose 2*i - 4 = -c*i. Solve 0 = 5*k + 14 + i for k.
-3
Let t = 14 - 9. Let s(m) = m**2 + 13*m + 15. Let g be s(-12). Solve -g*l = -2 + t for l.
-1
Suppose -5*a - 13 - 21 = -3*m, -5*m + 25 = -2*a. Solve -m*h - 2 = -8 for h.
2
Suppose l - 2*l = -2*s, 0 = 3*s + 2*l - 7. Let x(q) = -12 - s + 2 - 2 + 2*q. Let a be x(7). Solve a = j - 2 for j.
3
Let y(t) = t - 8. Let u be y(4). Let o be (-1)/2*u/1. Let g = o - 0. Solve -2 = -g*m + 6 for m.
4
Let y = -8 + 24. Let b = y - 23. Let u = b - -10. Solve 0*m + m = -u for m.
-3
Let x = -1588 - -1588. Solve x = -13*h + 16 - 55 for h.
-3
Suppose -2 = -n - n. Let x = 19 + -16. Let a be 15/x + (2 - 3 - 0). Solve 0 = k - n - a for k.
5
Let y(n) = 19*n - 387. Let u be y(21). Solve -24*x + u = -18*x for x.
2
Suppose -a - 3*a - 5*t + 25 = 0, -3*a - 5*t = -20. Suppose 5*x = 2*b + b, -a*x - b = -20. Solve 2*r + x*r = 20 for r.
4
Let o = -272 - -276. Solve 0 = -o*m + 3 + 1 for m.
1
Suppose -454*z = -445*z - 63. Solve -13*o - z = -6*o for o.
-1
Suppose 3*g + 57 = 159. Suppose 0 = 6*v + 10 - g. Solve v*t - 12 = -0*t for t.
3
Let r(l) = -l**2 + 10*l - 13. Let s be r(8). Let j(z) = -z**2 + 8*z + 13. Let h be j(9). Suppose a + 37 = 2*o - 0*a, 5*a + 65 = h*o. Solve s*t = -t + o for t.
5
Suppose -5 - 5 = -2*h. Let j = 5 - h. Suppose 0 = 12*c - 11*c + n - 4, 3*n + 16 = c. Solve -4*r - c + 27 = j for r.
5
Suppose -179 = -5*l + 5*i - 4, 0 = -3*l - i + 109. Solve 0 = -9*z - 0 - l for z.
-4
Let y(s) = -4*s + 9. Let q(t) = -2*t + 5. Let u(o) = -5*q(o) + 2*y(o). Let r be u(5). Suppose -r = n - 5. Solve -4*v - 2 - n = 0 for v.
-1
Let a(c) = -c**3 + 5*c**2 - 6*c + 3. Let m be a(2). Suppose -3*t + o - 6 = -3*o, -5*t + o = 27. Let z be ((-12)/(-2))/(t/(-6)). Solve 3*n - m - z = 0 for n.
3
Let m(g) = -6*g + 66. Let k be m(5). Solve k - 4 = 16*w for w.
2
Let u = -2183 + 2183. Solve 28*t - 32*t - 20 = u for t.
-5
Let o(v) = 3*v - 2. Let l be o(2). Suppose 3*n - 1 - 5 = 0. Let a = l - n. Solve -f = f - a for f.
1
Let f be (7 + -6)*(2 - 1). Let g be 10/f*(-3)/(-15). Suppose 2*a + g = -2*i + 4*a, 10 = 2*i + 2*a. Solve -4 = -i*b - 0*b for b.
2
Suppose -a - k = -26, -3*a + 57 = -2*k - 36. Let v = a + -26. Solve v*z + 3 + 9 = 0 for z.
-4
Let w be (-26)/39*30/(-4). Let n(x) = x**2 - 5*x + 3. Let c be n(w). Solve 2*l + 20 = -c*l for l.
-4
Let v be 570/210 + (-2)/(-7). Solve -v*z = z - 20 for z.
5
Let g be (-9)/(-3)*(-2)/3. Let u = 3 - g. Solve -4*w = -9*w - u for w.
-1
Let f be (6/2 - 2) + 14 + -9. Solve p = -f + 11 for p.
5
Let k(t) = -2*t**2 + 10*t - 6. Let i = -52 - -56. Let n be k(i). Let l = -4 - -10. Solve 0*w + l = n*w for w.
3
Let c be (-16)/6*(-27)/36. Solve 5*s + 12 = c for s.
-2
Suppose 0 = u + 6 - 19. Let t = u - -7. Let c(i) = i**2 + 4*i + 3. Let x be c(-4). Solve -2*s = x*s - t for s.
4
Let w(l) = l - 1. Let b be 10/45 - 7/(-9). Let x be w(b). Let h = 0 - x. Solve h = -0*f + f for f.
0
Let u = -22 + 9. Let v = -10 - u. Solve -v*n - 6 = -n for n.
-3
Let j = -144 + 149. Suppose -15 = 3*n - 6*n, j*n = -4*u + 65. Solve -2*s + 0*s - u = 0 for s.
-5
Suppose 184*m - 2 = 183*m. Solve m*o + 12 = -o for o.
-4
Let l be 123/3 - (-28)/7. Let u be l/30*20/2. Solve u = -6*q + q fo
|
{
"pile_set_name": "DM Mathematics"
}
|
hich is the third biggest value? (a) 4 (b) 140 (c) -4/3
c
Which is the smallest value? (a) 1 (b) -8 (c) 34 (d) 2
b
What is the smallest value in -26, 0, -2/9?
-26
What is the fourth smallest value in -3, -0.4, -0.007, 5, -4?
-0.007
Which is the fourth smallest value? (a) -190 (b) 6 (c) 0 (d) -0.3
b
Which is the biggest value? (a) -57 (b) -2 (c) 0.5
c
What is the smallest value in -2, -0.04, 0.5, 2/5?
-2
What is the second biggest value in -3, 0.2, 10/11?
0.2
What is the biggest value in -2/23, 0.2, -2?
0.2
What is the biggest value in 0, -2/9, 0.4, 3/13?
0.4
What is the biggest value in 2, -2, -1/3, 4/9?
2
What is the smallest value in 47, -3, 3, 0.5?
-3
What is the third smallest value in -2, 23, 3/8?
23
What is the smallest value in 1/4, -5, 22, 4?
-5
Which is the third smallest value? (a) -39/7 (b) -1 (c) 1
c
What is the second smallest value in -11, 5, -5?
-5
What is the biggest value in -2.2, -0.1, -1, 4?
4
Which is the second biggest value? (a) -2 (b) -0.2 (c) 3 (d) -44
b
What is the smallest value in 3/4, -2/7, 4.1?
-2/7
What is the second biggest value in -32, 0, 4, 2?
2
What is the third biggest value in -6/11, -2/17, -5, -2?
-2
What is the fourth smallest value in -2/7, -4, 8, 1?
8
Which is the third smallest value? (a) -2/9 (b) -36 (c) 0
c
What is the smallest value in 5/3, -5, -1, -1/5?
-5
Which is the biggest value? (a) 0.4 (b) 5 (c) 1/4 (d) 4/7
b
Which is the third biggest value? (a) 0.13 (b) -2/3 (c) 4 (d) -5 (e) -2
b
What is the fourth smallest value in -1/3, 2/7, 4, 1/5?
4
What is the second smallest value in -1/9, 1/2, -3/7, 9?
-1/9
Which is the second biggest value? (a) 4/3 (b) 1/2 (c) -36 (d) -3 (e) 0.2
b
What is the third biggest value in 1, 1/4, -311, 4/5, -0.2?
1/4
Which is the smallest value? (a) 1/22 (b) 2/7 (c) 3/2 (d) 2/5
a
What is the fifth smallest value in 1, 5, -3, -42, -4?
5
What is the third smallest value in 1, 3, -0.1?
3
What is the second biggest value in 3, 13/25, -3?
13/25
Which is the second biggest value? (a) -2/9 (b) -0.2 (c) 14 (d) -8
b
Which is the fourth smallest value? (a) -1 (b) 2/3 (c) 2 (d) -0.2 (e) 0.09
b
What is the biggest value in -0.39, 1, -1/2?
1
Which is the second biggest value? (a) 12 (b) -10/9 (c) 0 (d) 2/7
d
Which is the biggest value? (a) 2/13 (b) -2 (c) 4 (d) 1 (e) 0.8
c
Which is the third biggest value? (a) 0 (b) -0.491 (c) 3/7 (d) 0.1
a
Which is the fifth biggest value? (a) -15 (b) 1/3 (c) -2 (d) -4 (e) -5
a
What is the biggest value in -3, -71, 2, -0.3?
2
What is the third biggest value in 0.38, 0.3, -0.4?
-0.4
What is the second smallest value in -3, 12/1615, 0.5?
12/1615
Which is the second smallest value? (a) 0.5 (b) 5/6 (c) 9 (d) 4/3
b
What is the fourth smallest value in 1, 2/7, 4/19, -4?
1
Which is the smallest value? (a) -1.3 (b) 0.2 (c) -3 (d) -0.5
c
Which is the third biggest value? (a) 5 (b) 3/8 (c) -1/3 (d) -2/3
c
Which is the fifth biggest value? (a) 0.2 (b) -0.2 (c) 2 (d) -3 (e) 3/65
d
Which is the biggest value? (a) 0.227 (b) 1 (c) 0.3
b
What is the third smallest value in 0.1, -0.4, 5, -1/7?
0.1
Which is the biggest value? (a) 17 (b) 2 (c) -0.06
a
What is the third biggest value in -422, 1/5, -0.4?
-422
What is the smallest value in -24, 0, 0.5, 4?
-24
What is the fourth biggest value in 6, -24, -4, -1?
-24
What is the fourth biggest value in -5, 1/2, -4/7, -15, -3?
-5
Which is the biggest value? (a) -26 (b) -1/5 (c) 0.2
c
Which is the fourth smallest value? (a) -1 (b) 5 (c) -2/5 (d) -1/3
b
Which is the second smallest value? (a) 0 (b) -2 (c) 31 (d) 0.4 (e) -3
b
What is the third biggest value in -6, -0.2, 0, 1/4?
-0.2
Which is the fourth biggest value? (a) -94.3 (b) 1 (c) -2 (d) -0.1
a
Which is the second biggest value? (a) 8 (b) -1/5 (c) -4
b
Which is the third smallest value? (a) -0.28 (b) -5 (c) 4
c
What is the biggest value in -3/5, 2/7, 0.1, -0.3, 49?
49
What is the fourth smallest value in -1.3, 3, -8, 0.1?
3
What is the third smallest value in 1, -4, 4/247?
1
What is the second smallest value in -2/19, -18, 0.3?
-2/19
Which is the smallest value? (a) 0.4 (b) -4 (c) 0 (d) -4/9 (e) -2
b
What is the fourth biggest value in -0.3, 0, 18.9, -0.1, 1?
-0.1
Which is the smallest value? (a) -4 (b) -0.927 (c) -1/5
a
Which is the second smallest value? (a) -5 (b) 15 (c) 1/7 (d) 1
c
What is the fourth smallest value in 7.8, -0.5, -4, -0.1, 1.3?
1.3
Which is the second biggest value? (a) -2/227 (b) -0.4 (c) -5 (d) 0.1
a
What is the smallest value in -3, -0.097, 0.1?
-3
What is the third smallest value in 0.084, -20, 2, -5?
0.084
Which is the biggest value? (a) 0.5 (b) 5 (c) 158/5
c
What is the third smallest value in 0.5, -3/5, -1/4, 2/13, 4?
2/13
What is the fourth smallest value in -5, -0.31, 1/2, 2?
2
Which is the fourth biggest value? (a) 7 (b) -2 (c) -3 (d) 0.1 (e) -2/11
b
What is the second biggest value in 4/7, -1/1055, 0?
0
What is the fifth smallest value in -0.1, -2/13, -65, -1, 9?
9
Which is the fourth smallest value? (a) 0 (b) 4/5 (c) -5 (d) 2/93
b
Which is the biggest value? (a) -3 (b) -0.2 (c) 14/29
c
Which is the fourth biggest value? (a) -5 (b) 0.29 (c) 0.3 (d) 3
a
What is the second smallest value in -69, 5, 2/7?
2/7
What is the third smallest value in -0.2, -3, 1.6, 23, 3?
1.6
Which is the fourth smallest value? (a) -0.01 (b) -3 (c) -1 (d) 0.4
d
Which is the second biggest value? (a) 0.4 (b) 1/24 (c) 4 (d) 0.3 (e) -1
a
Which is the fourth biggest value? (a) 0.04 (b) -24/25 (c) -2/5 (d) -3
d
What is the third smallest value in -5, 23.5, -4/5, -0.2, -2/21?
-0.2
Which is the third smallest value? (a) 157 (b) 16 (c) -2/3
a
Which is the second smallest value? (a) -4 (b) 58 (c) 2 (d) -1/4 (e) 0.3
d
What is the second biggest value in 8, 22, -5?
8
Which is the smallest value? (a) -2.7 (b) 6 (c) 4
a
What is the third biggest value in 0.4, 3, -222/79?
-222/79
What is the second smallest value in -2538, 4, -5?
-5
Which is the smallest value? (a) -9 (b) 1 (c) 0.2
a
What is the smallest value in 1/1691, 0, 4/3?
0
What is the smallest value in 22.7, 4, 1/10?
1/10
What is the fourth biggest value in -1, 1/8, -0.5, -3/2, 0.5?
-1
What is the smallest value in -2, 449, -0.3?
-2
Which is the third smallest value? (a) -1/2 (b) 0.3 (c) -4 (d) 0.084
d
Which is the fourth smallest value? (a) 2 (b) 1 (c) 3 (d) -0.3 (e) 4
c
What is the second smallest value in 2, -12/17, 0?
0
Which is the second biggest value? (a) 0.2 (b) -0.5 (c) 25
a
Which is the second biggest value? (a) -1.38 (b) 4 (c) 3 (d) 3/2 (e) 5
b
Which is the biggest value? (a) -1/9 (b) -282/5 (c) 4
c
What is the second biggest value in 5, -142, 1/2?
1/2
Which is the second smallest value? (a) -18 (b) -5 (c) -0.3
b
What is the third smallest value in 1/5, -42, -4, -0.5?
-0.5
What is the smallest value in 1, -602, 27?
-602
Which is the second biggest value? (a) -2/19 (b) -0.594 (c) -3/4
b
What is the second biggest value in -0.3, 2/13, 0.5, -2?
2/13
What is the second smallest value in -1/3, 5/29, -4/9?
-1/3
Which is the biggest value? (a) 3 (b) 45 (c) 3/4 (d) 35
b
Which is the fifth smallest value? (a) 1 (b) -4 (c) -4/5 (d) -3/109 (e) 0
a
What is the smallest value in 3, 0.4, -3, -1/3, 2/15?
-3
Which is the second biggest value? (a) 0.1 (b) -477 (c) -3/5
c
Which is the smallest value? (a) 4/3 (b) -1 (c) -1/5 (d) -12
d
What is the third smallest value in -1/11, 0, -0.19?
0
What is the second biggest value in 9/47, -2, -0.3, -3/4?
-0.3
What is the fourth biggest value in 108, 0.4, 0.8, 1?
0.4
What is the second biggest value in 1.3, -1, 1, -1/3?
1
What is the fourth biggest value in -2/13, 17, -5, -0.4?
-5
What is the second smallest value in 0.2, -2.3, -15?
-2.3
Which is the fourth biggest value? (a) -2 (b) -1 (c) 11 (d) 2
a
What is the biggest value in 1.65, 3, -0.4, 4?
4
Which is the third biggest value? (a) 0 (b) -6 (c) 45
b
What is the fourth biggest value in 1/3, 2/5, 5/7, -1?
-1
Which is the biggest value? (a) -49/2 (b) 0.12 (c) 6 (d) -2 (e) 0
c
What is the fifth biggest value in 0.6, 0.2, -0.3, -5, 0.8?
-5
What is the fourth biggest value in 60, -5, -2, 0.5?
-5
Which is the third
|
{
"pile_set_name": "DM Mathematics"
}
|
4*c - 2*c) + 6*c**3 + 7*c - 7*c + (2*c**2 - 2*c**2 + 2*c**2)*(2*c - 1 + 1).
-20*c**3
Expand (-n - 5 + 5 + (-3*n - n + 5*n)*(0 - 1 + 3) + 5*n - n - 2*n + 2 + 2*n - 2 + 2*n + 4*n - n)*(47 - 7*n - 47 + (2*n + 3*n - 7*n)*(0 + 3 - 2)).
-90*n**2
Expand (-16*g + 12*g**4 + 16*g)*(-13 + 26*g + 13) + 3*g - g**5 - 3*g + 2*g**5 + 2*g**3 - 2*g**3.
313*g**5
Expand (0*x - 2*x + 4*x)*(0 - 4 + 2)*(-545*x - 596*x - 165*x).
5224*x**2
Expand -2*p**3 - 2*p**2 + 2*p**2 + 5*p**3 - 2*p**3 - 4*p**3 + (2 - 1 + 3)*(2*p**3 + 0 + 0) - 4*p - 2*p**3 + 4*p + (-2*p**2 - 2 + 2)*(-5*p + 0*p - 2*p).
17*p**3
Expand (-2*n**2 - n + n)*(6278 - 6278 + 1628*n) + 2*n**3 + 0*n**2 + 0*n**2.
-3254*n**3
Expand (0*n**4 - 1 + 3 - 2*n**4)*(21*n - 20*n + 1405*n + 746*n).
-4304*n**5 + 4304*n
Expand (2*s - 1 + 1)*(-2*s**2 + 2*s**2 - s**4) - 4*s**5 + 3*s**5 + 0*s**5 + (126*s**3 - 197*s**3 - 188*s**3)*(7*s**2 + 2*s**2 - s**2).
-2075*s**5
Expand (-v**2 - 3*v**2 + v**2)*(6 - 6 + 4*v**2)*(216 - 193 + 232).
-3060*v**4
Expand (f**2 - 1 + 1)*(0*f - 4*f + 2*f) + 349902*f + 13*f**3 - 349902*f + 9.
11*f**3 + 9
Expand -196*d + 25*d**2 + 196*d + (-2*d + 3*d - 3*d)*(-5*d + d + 0*d) - d - 3*d**2 + d.
30*d**2
Expand (-4*s**2 + 5*s**2 + 0*s**2)*(-546 - 45 + 1368)*(0 - 2*s + 0) + s**2 - s**2 - s**3 + (6*s**2 - 3*s**2 - 2*s**2)*(0*s + 0*s - s).
-1556*s**3
Expand (-2*z + 436 - 438 + 0*z - 15*z**4)*(65*z - 33*z - 31*z).
-15*z**5 - 2*z**2 - 2*z
Expand -5*h**3 - 6*h**3 + 3*h**3 + (-1 + 1 + h**2)*(-134*h + 100*h - 187*h).
-229*h**3
Expand (-2*t - 7*t + 16*t)*(3*t**3 + 4*t**2 - 4*t**2) + 114*t**4 - 318*t**3 + 318*t**3.
135*t**4
Expand (d - 2*d + 3*d)*(-27 - 56 + 6) + (2*d - 5*d + 4*d)*(-3 + 3 - 1) + 6*d + 4*d - d.
-146*d
Expand (-22*v + 2*v - 5*v + (-3 + 3 + 2*v)*(4 - 3 - 3) - 5*v + 4*v - v - v - v + v)*(0 - v + 4 + 3*v).
-64*v**2 - 128*v
Expand ((-4 - 5 + 2)*(0 + 0 + 3) + 4 - 3 + 5)*(2*m - m - 3*m).
30*m
Expand (10*q - 4*q - 135 + 104)*(-4*q**4 + 4*q**4 + q**4) - 4*q**5 + 2*q**5 + 0*q**5 + q.
4*q**5 - 31*q**4 + q
Expand (-1 + c + 1)*(2 + 1 - 1)*(0 + 2 - 4 + (334 - 115 + 161)*(0 - 1 - 1)).
-1524*c
Expand (-4 - 1 - 3)*(-449*m - 30675 + 30675) - 3*m + 7*m - 3*m.
3593*m
Expand (1 - 2 + 2)*(2 + r - 2)*(3*r - 3*r - r + (2 + 2*r - 2)*(-4 + 1 + 1) + 2*r - r + 0*r + 5144*r - 1490*r + 9176*r).
12826*r**2
Expand ((-5 + 2 + 1)*(7 - 7 + 3*u**2) - 34267 + 79*u**2 + 34265 + 30*u**2 + (-4*u + 0*u + 6*u)*(u + 0*u + u) - 1 - 2*u**2 + 1)*(3 - 3 + 2*u).
210*u**3 - 4*u
Expand (-5 + 1 + 2)*(-65154*x + 65154*x + 3741*x**4 - 11979*x**4).
16476*x**4
Expand -4*w - 4*w + 3*w + (0 + 21 - 3)*(49577 - 49577 - 82*w).
-1481*w
Expand (-2018 - 2913*i - 2908*i + 8733*i - 2906*i)*(-1 + 5 - 2)*(-2*i**3 + 3*i**3 + 3*i**3).
48*i**4 - 16144*i**3
Expand (1 - 3 + 6)*(-3 + 3 - s)*((-2 + 1 + 2)*(5*s - 6*s + 5*s) + 19*s - 9*s + 9*s).
-92*s**2
Expand (-t**2 + 2*t - 2*t)*(3*t - 2*t + 6 + t) + (-10 - t**2 + 10)*(-3*t - 7*t + 6*t) - t**3 - 4*t**3 + 4*t**3.
t**3 - 6*t**2
Expand (w - 3*w**3 - w)*(-2 + 0 + 1) - 15237*w**3 + 15246*w**3 - 4 + 68*w**2 + 6.
12*w**3 + 68*w**2 + 2
Expand (-3*x**2 + 6*x**4 - 3*x**4 - 2*x**4)*(-33 - 32 - 102 + 2 + 3 - 3 + (-2 + 3 - 3)*(3 - 3 + 1) + 3 - 5 + 4).
-165*x**4 + 495*x**2
Expand -115*a + 58*a**3 + 115*a + (-4 + 2 + 4)*(a**3 + 3*a**3 - 3*a**3) + (-7*a + 2*a + 2*a)*(3*a**2 + a**2 - 3*a**2).
57*a**3
Expand (1 - 1 - 2*d)*(-20 + 13 + 6)*(164 - 171 - 170)*(-d + 0*d + 0*d + 1).
354*d**2 - 354*d
Expand 0*y**5 - 3*y**5 + 4*y**5 + (7*y**2 - 7*y**2 - 10*y**2)*(-4*y**2 - 18*y**2 + 32*y**2)*(-2 + 2*y + 2).
-199*y**5
Expand (-3*m**3 - 4*m**3 - 5*m**3)*(m**2 - 2*m**2 + 2*m**2) - 4*m**5 - m**4 + m**4 - 2*m**5 + 0*m**5 + 4*m**5.
-14*m**5
Expand (10826858*c**2 + 5*c - 10826399*c**2 + 7*c)*(-3*c**3 + 4*c**3 + c**3).
918*c**5 + 24*c**4
Expand (s**2 - 3*s**3 - 120*s - 232*s + 467*s)*(-2*s**2 + s**2 + 0*s**2).
3*s**5 - s**4 - 115*s**3
Expand 2*i**5 + i**5 - 5*i**5 + (1 - 1 + i)*(-2*i**4 + 0 + 0) + (-10*i**2 + 7*i**2 + 10*i**2)*(-6*i**3 + 0*i**3 - 2*i**3).
-60*i**5
Expand (-4*k + 3*k + 2*k)*(139*k + 128*k - 773*k) + k**2 + 10*k - 10*k.
-505*k**2
Expand 3899*o**4 - 7281*o**4 - 2144*o**4 + 0*o**4 - 2*o**4 + 0*o**4 + (2*o**2 + 0*o**2 + 0*o**2)*(0*o**2 - 4*o**2 + 3*o**2) + 0*o + 2*o**4 - 2*o + 0*o.
-5528*o**4 - 2*o
Expand 22*g**3 + 327*g**2 - 327*g**2 + (7 - 1 - 3)*(-10 + 4*g**3 + 10) + 0*g**3 - 4*g**3 + 5*g**3.
35*g**3
Expand (0 + 0 + o**2 + (2 - o - 2)*(o + 0*o + o) - 2*o**2 + 3*o**2 + o**2 - 3*o**2 + 2*o - 2*o)*(52*o + 52551*o**2 + 4*o**3 - 52551*o**2).
-8*o**5 - 104*o**3
Expand (a**4 - 49*a**4 - 33*a**4)*(-103 + 177 - 253).
14499*a**4
Expand (0 + 2 + 0 + (-3 + 0 + 4)*(3 - 4 + 3) + 0 + 4 - 6)*(3*o**2 - 4*o**2 - 2*o**2) - 123*o**2 - 22 + 171*o**2 - 60*o**2.
-18*o**2 - 22
Expand (5*y - 3*y + 0*y)*(-3788 - 3026 - 4209).
-22046*y
Expand (6*d - 2*d - 2*d)*(0*d - 2*d - 5*d)*(976*d - 44*d**3 - 976*d - 2).
616*d**5 + 28*d**2
Expand 8*i**3 + 4*i**2 - 4*i**2 + (12*i**3 - 5*i**3 + 90*i**3)*(0 - 1 - 4).
-477*i**3
Expand -1 - 2*r**3 + 1 + (-2*r**2 - r**2 + 0*r**2)*(-r - 2*r + 4*r) + 3 - 33*r**3 + 256*r**3 - 204*r**3.
14*r**3 + 3
Expand -j + j - j**2 + 1 - 1 + 3*j**2 + (1266 - 101 - 121)*(2*j - 2*j**2 - 2*j).
-2086*j**2
Expand (n**2 + 6*n**4 - 5*n**2 + 2*n**2)*(-22 - 28*n + 22).
-168*n**5 + 56*n**3
Expand (-586*d - 413*d - 973*d - 863*d - 68*d + 88*d)*(8*d**4 - 32*d**4 + 14*d**4).
28150*d**5
Expand (-609 - 8648 - 11622)*(-s + 2*s + s**3 - 2*s).
-20879*s**3 + 20879*s
Expand (-2 + 4 - 1 + (-32 + 7 - 11)*(-3 + 1 + 6))*(-2*w - w - w) - 2*w + 3*w - 7*w + (2*w - 4 + 4)*(2 - 1 - 2).
564*w
Expand (-3*y + 491 - 9504 - 6228 + 1732)*(y - 2*y + 3*y).
-6*y**2 - 27018*y
Expand -126*j**4 + 5664*j**2 - 5664*j**2 + (0 - 2*j**2 + 0)*(-10*j**2 - 9*j**2 + 5*j**2) + 3*j**4 - j**4 - 3*j**4.
-99*j**4
Expand (1503 + 165*w - 1479 - 48*w + (0*w + w + w)*(-2 - 3 + 4))*(0 + 3 - 2).
115*w + 24
Expand (-7*a + 14*a + a + 20*a)*(-a**3 + 55*a**3 + 29*a**3).
2324*a**4
Expand ((-3 - 10 + 2)*(-6*m + 3*m + m) + 2*m + 12*m - 5*m - 4 + 2 - 4*m + 3*m)*(-2*m + 4 + 1 + 1).
-60*m**2 + 184*m - 12
Expand (11*w - 11 + 11)*(20*w + 266*w - 63*w) - 5*w**2 + w**2 + 2*w**2 + 4*w**2 - 2*w**2 - 3*w**2 + (6*w - 5*w + 0*w)*(-2*w + 0 + 0).
2448*w**2
Expand 9*z + 10*z - 356*z**4 + 370*z**4 + (-2*z**3 + z**3 - z**3)*(3*z + 2*z - 2*z).
8*z**4 + 19*z
Expand 2*f**2 + 2*f - 2*f + (f - 6*f + 4*f)*(-2267*f - 1213*f + 4516*f) + (-4*f + f + 2*f)*(-f + f + 2*f).
-1036*f**2
Expand (-1 + 4*j - 8 + 7)*(-10 - 21 + 6).
-100*j + 50
Expand (-77*q**3 - 113*q**3 + 303*q**3)*(-q**2 + 7 - 9 + 3*q**2).
226*q**5 - 226*q**3
Expand (-90*v**2 + 106*v**4 - v**3 + 90*v**2)*(3227 - 137*v - 3227).
-14522*v**5 + 137*v**4
Expand (2 + 3 - 6)*(-27 + 39*t + 27) + (-3*t + 6*t + 0*t)*(2 - 4 - 2) + 0*t - 4*t + 2*t - 4*t + 1 - 1.
-57*t
Expand 3*r**3 + 2*r**3 - 3*r**3 + (2 - 4 + 4)*(16783*r**3 + 10*r**2 - 4*r**2 - 2*r - 16839*r**3).
-110*r**3 + 12*r**2 - 4*r
Expand 4*s - 2*s - 5*s + 4*s + 2*s - 3*s + (s + 0*s - 2*s)*(4 - 2 - 3) + 30*s - 26*s - 16*s.
-11*s
Expand (u - 2*u + 0*u)*(2*u**2 + u**2 - 4*u**2) - 20993*u**2 + 41979*u**2 - 20986*u**2 - 15676*u**3.
-15675*u**3
Expand (138 + 106 - 218)*(d + 2*d - 5*d) + 1 - 1 - 2*d.
-54*d
Expand 0 + 0 + 2*v**5 + (-127*v + 28*v**2 + 127*v)*(-26*v**3 + 66*v**3 + 44*v**3).
2354*v**5
Expand (10*u + 0*u - 5*u)*(185 - u + 96 - 145).
-5*u**2 + 680*u
Expand (2036*w + 3252*w - 7371*w - 7091*w - 5443*w)*(5*w - 5*w - 2*w).
29234*w**2
Expand ((0 - 2 - 2)*(-2*g + g + 2*g) + 78 - 144 + 66 - 1709*g)*(3 - 2 + 1).
-3426*g
Expand ((a + 2*a - 5*a - 2 - 3*a + 2 - 5*a + a + 2*a + (-2 + 2 - 2)*(-5*a + 3*a + 4*a))*(-10*a - 14*a - 10*a) - 3*a**2 - 2*a + 2*a)*(-5 + 2 + 5).
742*a**2
Expand (3250*z**2 - 3248811*z + 3248811*z)*(-3 + 3 + 2) - 1 + 1 - 2*z**2.
6498*z**2
Expand -43*x + 43*x - 37*x**2 + (-3*x + 6*x - 2*x)*(4*x + 3*x - 5*x) - 6*x**2 + 2*x**2 + 0*x**2.
-39*x**2
Expand (126 - 126 + 13*x**3)*(0 - 2 - 4 - 4 + 3 - 4 - 1 + 0 + 3 + 4 - 3 - 2 + (3 - 4 - 1)*(1 - 1 + 2) + 0 - 2 + 1 - 2 + 7 - 3 - 3 + 3 - 1).
-182*x**3
Expand (5*h + h - 2*h**2 - 4*h)*(-244*h - 1078*h - 618*h) + (1 - 2*h - 1)*(5 - 5 + 2*h**2) + h**3 + 3*h**3 - 5*h**3 + h**3 + 0*h + 0*h + 2*h**3 - h**3 + 0*h**3.
3877*h**3 - 3880*h**2
Expand -5*p**5 - p**5 + 5*p**5 + (0*p + 4*p - 6*p)*(-7*p**4 + 3*p**4 - 4*p**4) + (0*p**2 - 3*p**2 + 6*p**2)*(0*p**3 - 2*p**3 + p**3).
12*p**5
Expand (-3*c +
|
{
"pile_set_name": "DM Mathematics"
}
|
a**(-165/8)
Simplify ((p/(p/((p/(p*p*p**(2/5)))/p)))**(-7/9))**(-3/25)/((p/p**(-1))**(2/13))**(-31) assuming p is positive.
p**(15136/1625)
Simplify ((f*f**(2/3))**(-2/17)/(f**(-2/27)*f*f**7))/((f**0)**(-5/2)*(f**(-1))**(-43)) assuming f is positive.
f**(-23465/459)
Simplify ((d*(d*d**(5/7))/d*d)**(-22/3)/((d/d**(1/15)*d)/d)**(-10/11))**(-38) assuming d is positive.
d**(167276/231)
Simplify x**(-10/3)/((x*(x*x**(-40)/x*x*x)/x*x)/x)*(x**(-29/5)/x)**(28/9) assuming x is positive.
x**(608/45)
Simplify ((((w*w**0)/w)**(-6)*w**(-1/5)/w**(-2/3))**2)**(-18) assuming w is positive.
w**(-84/5)
Simplify (h*h**(-1)*h)/h**(-2)*h**2/(h**(-3/7)*h)*(h**1/(h/h**(-1)))/((h*h**0)/(h*(h/(h*h*h/h**(5/3)))/h)) assuming h is positive.
h**(44/21)
Simplify ((a**0)**(4/15)*(a*a**(-1))**(-9))/((a*a*a*a/((a*(a/(a*a**(-1)*a)*a*a)/a)/a*a))**(11/9))**9 assuming a is positive.
a**(-22)
Simplify (((p**10*p**(-1/9))/(p*p**5/p*p*p**8))**2)**(-1/87) assuming p is positive.
p**(74/783)
Simplify (((f*f**(2/9))/f*f**(-2))/(f**5/f)**(-2/47))**17 assuming f is positive.
f**(-11560/423)
Simplify (y**(-13)*y/(y**(-11)*y)*(((y*y**2)/y)/y)/y**(-2/7))**(-9/11) assuming y is positive.
y**(45/77)
Simplify ((l**(-2/29)*l*l**(-1/28)/l*l*l)/(((l*l*l**9*l*l)/l)/l)**(-38))**(-38) assuming l is positive.
l**(-6478145/406)
Simplify ((s*s**(-6/7)*s*s)**19)**(3/5)/(s**(-3/5)*s*s*s**(1/2)/s*(s*s**(-1)/s)**(-7/6)) assuming s is positive.
s**(2348/105)
Simplify (k*k**3*(k*(k*k**(1/4)*k)/k*k)/k)**(-1/32)/((k*k**(1/3))/k*k*k**(-8)*(k*k**1/k)**(-25)) assuming k is positive.
k**(12085/384)
Simplify ((n**(-4)/(n/(n**(1/3)/n)))/(n**1)**48)/(n**(-4)*n**(-1/7)*(n**(-1)/n)**18) assuming n is positive.
n**(-284/21)
Simplify (((r**(-5)/r)/r*r**(2/51)/r)/(r**(-1/8)*(r*(r/r**3)/r)/r))**(-2/45) assuming r is positive.
r**(1973/9180)
Simplify (a**(4/7)/(a/a**(2/7)*a))**(7/4)*a/(a*a*a**(1/8)/a*a*a)*a*a**9*a**(1/2)/a**(-9) assuming a is positive.
a**(123/8)
Simplify ((((x/(x**(-8/13)/x))/x*x)/x**(19/2))**(3/26))**(-29) assuming x is positive.
x**(15573/676)
Simplify ((d**4*d*d*d**(-5/2))/((d**(5/8)/d)/d*d)**(-42))**8 assuming d is positive.
d**(-98)
Simplify ((o**(-2/15)/(o*o**(3/10))*(o/o**(-7))/o**(2/15))**(3/13))**(-45) assuming o is positive.
o**(-1737/26)
Simplify c*c*c/(c/c**(-1/4))*c*c*(c/c**(-1))/c*(c*c/c**(-1/2)*c*c*c*c)**41*(c**1*c*c)**(-3/29)*c**(2/11)/(c/(c*c**(2/3)*c)*c) assuming c is positive.
c**(1040405/3828)
Simplify (((q**(-2)/q)/q)**(-3))**48/((q**(-1))**23/(q*q/(q**(-8)/q)*q*((q*q**(-7))/q*q*q)/q)) assuming q is positive.
q**605
Simplify (((g**(1/6)/g*g*g*g/(g*g**(-3/4)))/(g*g**(1/3)*g**(-7)))**(2/7))**(-13) assuming g is positive.
g**(-169/6)
Simplify (((m/m**(-5)*m)/(m*(m*m/m**(-6))/m))/(m**(-2)/m**(2/7)))/(((m/(m*m**0*m))/(m/(m/(m**(1/5)/m))))/(m/m**6*m*m**0/m)) assuming m is positive.
m**(-123/35)
Simplify (((r/r**2*r*r)/r*r)/(r/r**(-4/5)))/(r**(1/4)/(r*r*r**(-2/5)/r))*(r/r**(3/11)*r**0)**(-22) assuming r is positive.
r**(-329/20)
Simplify (a**2*(a**(1/5)*a)/a*a**(-1/6)/(a**(-4)*a))/((a/a**(1/2))**(-10/7))**(-9/5) assuming a is positive.
a**(787/210)
Simplify ((g*g**(2/7))**(-14/9)*g**(-6/5)*((g/(g/(g/(g*(g/g**(2/7)*g)/g))))/g)/g)/(g**(4/3)*g/(g/(g**(-1/2)*g)))**36 assuming g is positive.
g**(-2517/35)
Simplify (w*w**(-3)*w**(2/13)*(w**(1/4)/w)/(w*w/(w*(w**(-1/3)*w)/w)))/((w/w**(-5/2))/(w**(-2/5)/w)*w/(w**4*w*w)*w**(-1/3)) assuming w is positive.
w**(-909/260)
Simplify ((b**(1/28))**(6/23)*(b**(6/13))**(-34))**31 assuming b is positive.
b**(-2035119/4186)
Simplify (p**(-6/7)*p**9/p*p**(-7)/p*p*(((p**(-5)/p)/p*p*p)/p)/p)/((p**(7/6)*p**(-2/25))/(((p**3*p)/p)/p**(2/23))) assuming p is positive.
p**(-121493/24150)
Simplify ((r**(-1/3))**32*(r/r**1)**(1/5))/(r**6/(r*r**1)*r**4*r**0) assuming r is positive.
r**(-56/3)
Simplify (((w*w*(w/(w*w**(-4)))/w*w*w)/w)**(-2/75)/(w*w**(-17)/w*w/((w*w/w**6)/w)*w*w))**(-4/3) assuming w is positive.
w**(-884/75)
Simplify (((o/(o/o**(2/3)))**(9/2)/((o/o**(-2/3))/((o/(o*(o*o/((o/o**(1/6)*o)/o)*o)/o)*o)/o)))**(4/7))**(5/2) assuming o is positive.
o**(5/21)
Simplify ((s**(-4/5)*s**2/s)/(s*s**(-1))**(-1/2))/((s**(-1))**4/((s/(s**(-5)/s))/(s/(s*s/s**(-5))))) assuming s is positive.
s**(86/5)
Simplify ((m/m**11)**29*(((m/(m/(m/(m/(m/(m**(-7/3)*m)))*m)))/m*m)/m)**0)**(-2/11) assuming m is positive.
m**(580/11)
Simplify (((t**(-20/9)/t)/t**(-2))/(t**(-4))**18)**(-1/3) assuming t is positive.
t**(-637/27)
Simplify (j*j**(-2/3))**(-42/13)/(j/j**(2/9))**(-31)*j/((j*j**1)/j)*j*j/(j/(j/(j/(((j*j/(j*j**(-4/7))*j)/j)/j))))*(j**(1/4)*j)**(-24) assuming j is positive.
j**(-4418/819)
Simplify (((f/f**(-3))/(f*f/(f*f**0)*f))/(f**3)**(-28))**(-43/5) assuming f is positive.
f**(-3698/5)
Simplify (u/u**(-2/19)*u**(-2/17)*u)**(-44)*(u**(-5)/(u**(-2/19)/u*u))**(3/4) assuming u is positive.
u**(-117735/1292)
Simplify ((c**(-8/3)/(c*c**(-3/17)))/(c**19*c*(c/c**(-1/18))/c*c*c*c*c))**(-15/4) assuming c is positive.
c**(42145/408)
Simplify ((y**8)**(6/17)*y**(-5/9)*(y/(y**(-15)/y))/y*y)**2 assuming y is positive.
y**(5896/153)
Simplify b/((b/(b**(-18/11)*b))/b)*b**(17/2)*(b*b*b*b*b**(-40)*b)/b*b*b/b**(-1/48)*b*b assuming b is positive.
b**(-12205/528)
Simplify (((g*g*g*g**(-4/5))/(g*g**(1/28)))/(g/(g/((g**(3/8)*g)/g)*g*g))**(-29))**9 assuming g is positive.
g**(-115821/280)
Simplify (((l*l/l**(-15)*l**16*l)**(-2/83))**(-44))**49 assuming l is positive.
l**(146608/83)
Simplify (((h*h*h*((h**(-1/5)*h)/h)/h)/h)/h**(-2/11)*h**(1/2)*h/((h*(h**4/h)/h)/h*h))/(h**7/(h/h**3)*(h/(h*h/h**2*h*h))/(h*h**(-1))) assuming h is positive.
h**(-937/110)
Simplify ((f/(f/(f/(f**(-2/27)/f)))*f**(1/3))/(f**(2/3)/f**(-16)))**(-7/13) assuming f is positive.
f**(2695/351)
Simplify (((w**(2/11)/w**2)**(-4))**(-4))**41 assuming w is positive.
w**(-13120/11)
Simplify (n/(n**(-1/4)/n))/(n/n**(-1/13))*((n/n**(-1/2))/n)**(-16/11)*((((n/n**(-2/29)*n)/n*n)/n)/n*n*n**9)**(-35) assuming n is positive.
n**(-5838445/16588)
Simplify ((x/(x/x**(-13)))/x**(-2/31))/(x**(1/2)/x)**(2/33) assuming x is positive.
x**(-13202/1023)
Simplify (((t*(t*t**(2/5))/t)**(-1)*(t**(-1)/t*t)/(t*t**(-2/3)/t))**12)**26 assuming t is positive.
t**(-2704/5)
Simplify ((i*i*i**(-1/3)*i)**(4/19)/(i/((i/(i**1/i))/i*i))**(2/31))/(i**(2/7)*i*i*i**6*(i**(-2/5)/i)/(i*(i/i**5)/i)) assuming i is positive.
i**(-20597/1995)
Simplify l**9*l/(l*l**(-6))*l**(2/9)*l**3*((l**(3/10)*l)/((l**(1/5)*l*l)/l))/(l**(-1)/l*l*l)**13 assuming l is positive.
l**(1649/90)
Simplify (i**5*i**(-5)*i)**(-5/4)*((i*i/((i**(-7)/i)/i))/i**(5/6))/((((i**(-3/2)/i)/i)/i)/(i/i**(1/10)*i)) assuming i is positive.
i**(919/60)
Simplify ((y**41*y**(-11/6))**36)**(-16) assuming y is positive.
y**(-22560)
Simplify (((p/p**9*p)/p**(1/32))/(p**(-36))**(1/9))**(-15) assuming p is positive.
p**(1455/32)
Simplify (p**(-17)*p)**27*(p/(p/(p**20*p)))/p*p/(p*p**(23/5)*p) assuming p is positive.
p**(-2088/5)
Simplify ((w*(w**0*w)/w*w)**(-8/3))**(-2/19)/((w**9*w*w**(-1/8))/((w**(-7)*w)/(w*w*w**(-2)))) assuming w is positive.
w**(-6983/456)
Simplify (b**1)**(1/20)*(b**(2/3))**15*b**(-4/7)/((b**(-6)/b)/b)*b**(-1)/b**(-2/5) assuming b is positive.
b**(2363/140)
Simplify ((d**(-5)/d)/(d*d**0*d)*(d/(d**(-2/3)*d*d))**(-41))/(d/d**(-4)*d/(d/(d/(d/d**(-6))*d))*d*d**(-5)*d*d/(d*d**(3/4))) assuming d is positive.
d**(113/12)
Simplify (b*b*b**(1/6)*(b*b**(-6/5))/b*(b**1)**44)/((b**(2/7)*b)**22*(b**3*b)/(b/(b**(-2)/b))) assuming b is positive.
b**(3503/210)
Simplify ((z/((z/z**7)/z))/((z**(2/5)*z)/z))**(-36)/(((z/((z/z**2*z)/z))/z**(-7))/(z**(-2/17)/(z*z/(z*z**(-3)*z)))) assuming z is positive.
z**(-24286/85)
Simplify (((s*s*((s**(4/5)*s)/s*s)/s)/((s/s**13)/s))/((s*s**(-34))/((s**(-2/13)/s)/s)))**41 assuming s is positive.
s**(124312/65)
Simplify (h**(-1)*h)**(-2/55)*h**(-4/9)*h**3*h**(2/7)/h**(6/7)*(h/h**7)/(h**(2/11)/h) assuming h is positive.
h**(-2216/693)
Simplify ((s/s**(3/5))**(-2/31))**(-38)*((s*s*s/s**5*s)/s)/s**(2/13)*(s**(-2/13)/s)/(s/s**(-1/3)) assuming s is positive.
s**(-22127/6045)
Simplify ((((u**(-4/5)*u)/u**29)**(1/5))**(14/9))**18 assuming u is positive.
u**(-4032/25)
Simplify ((h*h**(-2/3))**(-4/9)/(h**0*h**0))/(h**4/h**(-2)*h/h**(-1/3)*((h**(-4/3)/h)/h)/h*h) assuming h is positive.
h**(-112/27)
Simplify (a**(-1/14)*a/(a*a**1/a*a)*a**(5/6)*a**33)**(4/5) assuming a is positive.
a**(2752/105)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
o -1 in -7, 0.51, 11/6, 0.1, -1, 0.3464?
-1
What is the nearest to -20 in -79.2, -3, -13, 1?
-13
Which is the nearest to 0.1? (a) 0.4 (b) 2/3 (c) 6658042
a
Which is the closest to 1.3? (a) 1/4107 (b) -1 (c) 246
a
Which is the closest to -2? (a) -2 (b) 0.4798 (c) -59
a
What is the closest to -0.11 in -0.4, 1336123, 0.5?
-0.4
What is the nearest to -0.1 in -0.4, -12923, -1, 1/10, 14?
1/10
What is the closest to 12 in -5/3, 5, -0.268, 1/6, 0?
5
Which is the nearest to 0.03? (a) -18 (b) 3/16 (c) -1.8 (d) -4
b
Which is the closest to 0? (a) 0 (b) 3 (c) -101 (d) -262
a
Which is the closest to -0.2? (a) 22623 (b) 4/13 (c) 5 (d) -1 (e) 1
b
Which is the closest to 3? (a) -2.8 (b) 5 (c) 2 (d) 20 (e) -2
c
Which is the nearest to 23? (a) -0.6 (b) 2 (c) -196 (d) 3
d
What is the nearest to 0.122 in 3, 0.02, -6.3, 8, 2?
0.02
What is the closest to 27 in 4, -0.26, 266, -0.3, 2?
4
What is the closest to 8259.1 in 0, 0.4, 15.5?
15.5
Which is the closest to -27/8? (a) -569 (b) -3 (c) -1/4
b
Which is the nearest to 1/5? (a) -10/3 (b) 0.1581 (c) -2.8 (d) -1/3
b
What is the closest to 13.2 in 0.1, 4/7, 1, 0.7?
1
What is the closest to -1.035 in 2/9, 3, -1/39, -4?
-1/39
What is the nearest to 0.3 in 10, -8, -6197, 5?
5
What is the closest to 5 in -3, 1, -78.73?
1
What is the nearest to -7 in -3, 37, 3, -1/3, 1/3748?
-3
What is the nearest to 1 in -12/11, -2/3, -5, -36?
-2/3
Which is the nearest to 1? (a) 8/53 (b) -0.4 (c) -1/9 (d) 21 (e) -8
a
What is the nearest to 0.19 in -1/497, 4, 2, 0.04, -4?
0.04
What is the nearest to -0.1 in 332.7, -5, -2/3, 5, 1/39, 2?
1/39
Which is the nearest to 1? (a) -2 (b) 0.2 (c) 15.75 (d) -4/43
b
Which is the closest to -1? (a) -53 (b) -11 (c) -7 (d) -33
c
Which is the nearest to -305? (a) 246 (b) 4 (c) 1 (d) 2
c
Which is the closest to 1? (a) 0 (b) -2/3 (c) -5 (d) 135 (e) 3/10
e
Which is the closest to -1.2? (a) 5 (b) 0.9 (c) -0.1 (d) -418/3 (e) -5
c
Which is the nearest to -5/54? (a) 0.4 (b) -0.1 (c) 18 (d) -0.03
b
Which is the nearest to -11? (a) 156 (b) 0 (c) -55 (d) 3 (e) -2
e
Which is the closest to 70/3? (a) -1/3 (b) -1/11 (c) -43 (d) -1 (e) -1/5
b
What is the closest to 1 in 806, -2/17, 64/91, -5/2?
64/91
What is the closest to -2 in 0.4, -1, -0.3, 26, -311/132?
-311/132
Which is the closest to 164/7? (a) 1 (b) -1/75 (c) -293
a
Which is the closest to -4/33? (a) 77068 (b) 4 (c) -4
c
What is the closest to 116 in -0.1, 1, -1058, 2, -2?
2
Which is the closest to -3? (a) -104 (b) -3514 (c) 0.04
c
Which is the nearest to 1.19? (a) 2/5 (b) 14082 (c) -4/11
a
Which is the nearest to 0? (a) -0.7 (b) 1/7 (c) -5 (d) 1 (e) -0.00601
e
Which is the nearest to -1833? (a) 0.2 (b) -0.2 (c) -4 (d) -77 (e) 2/19
d
Which is the nearest to -1? (a) -0.3 (b) 1/37 (c) 107/4 (d) -88
a
What is the closest to -17 in 0.074, 4, -0.249?
-0.249
Which is the nearest to 1261? (a) -5.6 (b) -12 (c) 0.3
c
Which is the nearest to 1047/4? (a) 3 (b) -3/11 (c) 1/4 (d) 1/7
a
What is the nearest to -64 in 1/2, -2/23, -4/15, 4, -7/6?
-7/6
Which is the closest to -3532? (a) -4 (b) 12 (c) 1/5
a
Which is the closest to 7/155? (a) 1 (b) 5 (c) 24 (d) 11
a
Which is the closest to -1? (a) 5 (b) 10 (c) -0.5 (d) 1.34 (e) 46.1
c
What is the nearest to -2 in -1511.9, -0.17, -2, 5?
-2
What is the closest to 22/123 in -3.4, -1/4, -34?
-1/4
Which is the nearest to 1? (a) -27/22 (b) 84 (c) -3 (d) 44
a
What is the closest to 1 in 624, -2, -5, -345.8?
-2
Which is the closest to 0.08? (a) 0.1 (b) -10947 (c) -4 (d) 68 (e) 1/4
a
Which is the closest to 3? (a) -2545 (b) -27 (c) -4/7
c
Which is the closest to 0.12? (a) 1 (b) -41 (c) 153 (d) -0.1
d
What is the nearest to 4 in -132, -4, -32, -7, 4?
4
What is the nearest to 4 in -2.4, -3/7, 74598?
-3/7
Which is the closest to 0.0048? (a) -1 (b) -8 (c) -2/13 (d) 42 (e) 0.5
c
What is the closest to -0.9 in 0, -2, 1.886, -6?
0
Which is the nearest to 0? (a) 6.9 (b) -5 (c) 1 (d) 50 (e) 1.2
c
Which is the nearest to -2/3? (a) -7314 (b) -0.05 (c) 2/17 (d) 11
b
What is the nearest to -3/178 in -8.19, 2/15, 5?
2/15
Which is the nearest to 2? (a) -0.5 (b) -13.1 (c) -3/5 (d) 154/9 (e) 1/2
e
What is the nearest to -58 in 4, -3, 40257?
-3
What is the closest to 3/5 in -1/4, -0.036, 2/5, -7188, 1/3?
2/5
What is the closest to -1.95 in -10, -8464, 3?
3
What is the closest to 42 in -215, 0.03, 2.61, 0?
2.61
What is the nearest to -0.1 in -5, 0.001, 3/53, -6, 1/3?
0.001
Which is the nearest to 1? (a) -3 (b) -0.0807 (c) -0.2 (d) -2 (e) 2 (f) -3/187
e
Which is the nearest to -22/51? (a) 5 (b) -11 (c) 0 (d) -9 (e) 1/10 (f) -4
c
Which is the nearest to 37? (a) -1/203 (b) -0.6 (c) -2/21 (d) -6
a
What is the closest to 0.2 in 156/71, 3/2, 619?
3/2
Which is the nearest to -1? (a) -2/5 (b) -1/3 (c) -0.070192 (d) -4 (e) -1
e
Which is the nearest to -13? (a) 5 (b) 0.3 (c) 67/161 (d) 12
b
What is the nearest to 289 in 2/3, -1, -1/5, 8, -625?
8
What is the closest to 8.25 in 2/11, 55, 0.3, 3?
3
What is the nearest to -1 in -3/19, -2/25, -173/2, 0.37?
-3/19
What is the closest to 17199 in -3, 2/9, 0.3, 1/4, -1/10, 3?
3
What is the nearest to -1/2 in 2/7, 5, -3.6, 49, -128?
2/7
What is the closest to 5 in -0.03, -2/11, 4.9, 2, 1/2?
4.9
What is the nearest to -25 in -1/12, 4, 5, 0.2?
-1/12
What is the closest to 271 in -167, 66, 2/7?
66
What is the nearest to 1 in -776, -4, -448?
-4
What is the closest to -1.5 in -0.3, -4/11, 43.472?
-4/11
Which is the nearest to 2? (a) -0.5 (b) 0.01132 (c) 62 (d) 1/16
d
What is the nearest to -175 in -1/12, 286, -24?
-24
What is the closest to 0 in 168/43, -2/3, -4, 0.2, 200/33?
0.2
What is the nearest to 5/6 in 26586, 3, 9?
3
What is the closest to -1/4 in -517, -5, 2/271, 0.1, -0.5, 1/4?
-0.5
Which is the nearest to -7? (a) -2/3 (b) -2/7 (c) 16119/5
a
What is the closest to -45 in -29/5, 0.1751, -0.2?
-29/5
Which is the closest to -2/95? (a) 1 (b) -7/2 (c) 22231
a
What is the nearest to 1/13 in -0.274, -7792/5, 0.3?
0.3
What is the nearest to 122 in -3/7, 61/4, -145?
61/4
What is the closest to 0.3 in -0.03, -1/2, -5/3, -2/2101, 1/7?
1/7
What is the nearest to 29/4 in -61, 7, 1?
7
Which is the nearest to 23? (a) 2 (b) 4 (c) 7/34554 (d) 1/6 (e) -0.2
b
What is the nearest to -0.3 in 11, 4, 0.4, -6, -692?
0.4
Which is the closest to -0.1? (a) 1/24 (b) 5 (c) 0.5 (d) -7 (e) 9/20
a
What is the nearest to 0.108 in -10/7, -1.2, -0.3, -3.3, -0.1?
-0.1
What is the closest to -56/3 in 0.1, -0.28, -0.227, 0.09, -1?
-1
Which is the closest to -0.1? (a) 4 (b) -0.3 (c) 23/2 (d) -0.72 (e) 3/61
e
Which is the nearest to 45/1606? (a) -1/2 (b) -4 (c) -4/7 (d) 0.3
d
Which is the closest to -0.366? (a) -4 (b) -3/5 (c) -29159 (d) 5
b
What is the nearest to 94 in -1/13, -0.3, -0.5, -2/405?
-2/405
Which is the closest to 2/19? (a) -4/3 (b) 0.2 (c) 56/2123
c
What is the nearest to -4 in -0.2, 74, -0.044, 4/23?
-0.2
Which is the nearest to -0.3? (a) -2/13 (b) 15 (c) 4/5 (d) 1/5 (e) 2/163
a
What is the closest to -13.9 in 2, 3, -5, -10, -174?
-10
What is the nearest to 1/4 in 1/6, 17, 5, 473?
1/6
Which is the nearest to 0.02? (a) 3/7 (b) -5/3 (c) -1 (d) -95690 (e) 0.4 (f) 1
e
What is the closest to 3/8512 in 85/6, -0.2, -2, -1, 1?
-0.2
Which is the closest to -2/7? (a) -4/7 (b) -6/67 (c) -4 (d) -22/89
d
What is the nearest to -1/2 in -0.033, 0.1, 92, 2, 4?
-0.033
Which is the closest to -0.1? (a) -15 (b) 7 (c) 121 (d) -3/47 (e) 2/5
d
What is the nearest to 10 in -11, 1, -2/3, -1/11, 1/8?
1
What is the nearest to 154458 in 0.3, -2/17, -7?
0.3
Which is the closest to -27? (a) 1/5 (b) 4 (c) -0.024 (d) 0.3 (e) -1/7
e
Which is the nearest to 45/7? (a) -5 (b) -0.1 (c) 23570 (d) -2/11
b
Which is the nearest to -1? (a) 0.1 (b) -3/2 (c) 2 (d) -1446574 (e) -7
b
Which is the nearest to -0.1? (a) 2/5 (b) -31493 (c) 2 (d) -0.1 (e) 0.07
d
Which is the nearest to -4? (a) -3/5 (b) 5 (c) -3 (d) 4/24321
c
What is the nearest to 19 in 2666, 1/4, 2/7?
2/7
Which is the closest to -11107? (a) 5 (b) -1.21 (c) -3
c
What is the nearest to -1/37 in 5/11, 0.3, -5.359?
0.3
Which is the nearest to -270? (a) 0.7 (b) -191/3 (
|
{
"pile_set_name": "DM Mathematics"
}
|
(34/153)
-4/47
What is the value of (-10*39/858)/(2/2)?
-5/11
What is ((-15)/6)/((131/6288)/(4/8))?
-60
What is the value of (2484/(-6))/(117/(-13))?
46
Evaluate 2*(-66)/(-264)*((-160)/14)/2.
-20/7
What is (44*59/38940)/((-5)/100*(-6)/(-2))?
-4/9
Evaluate (1242/12)/(2439/542).
23
Calculate (30/12)/((-805)/(-276))*308/2244.
2/17
((8/(-158))/(127/127))/(2/(-1))
2/79
What is the value of 3/((-72)/8*(-28)/(-1176))?
-14
What is (-4)/(-5)*10*((-637)/(-84))/91?
2/3
What is the value of (45/50)/((-84240)/10800)?
-3/26
Evaluate (60/(-120))/((((-294)/(-216))/49)/(-1*4)).
72
(-276372)/1706*3*4/54
-36
2/(68/153*(-3)/8)
-12
(-455)/(-195)*(-372)/23002
-2/53
What is the value of 7/105*3/(-34)*648/((-15066)/(-93))?
-2/85
Evaluate (-13)/1*(-724493)/122317.
77
What is the value of ((-6)/(120/4))/(64/(-400)*-20)?
-1/16
Evaluate 873/(-388)*8/48.
-3/8
Evaluate ((-48)/160)/((-1364)/(-3720)).
-9/11
13/(234/(-84))*(-37)/((-117845)/630)
-12/13
Calculate ((-2520)/200)/(17/((-1700)/(-30))).
-42
Calculate (2436/(-1015))/((-2)/(-25)).
-30
What is (40/(-18))/1*225/(-950)?
10/19
What is ((2/2)/((-2)/27))/(((-116518)/596)/(-391))?
-27
68/(-37128)*-63*2
3/13
Calculate (15319456/(-864808))/(((-1)/(-14))/((-1)/4)).
62
(2*-6)/(((-478)/(-1434))/(2/(-57))*-3)
-8/19
Evaluate (-103)/(7931/33)*(-2)/3.
2/7
Calculate (-32)/1600*(-184)/(-46).
-2/25
What is (((-882)/(-336))/((-18)/(-8))*-4)/(1/6)?
-28
What is the value of ((-33)/(-1386))/(9/(-27))?
-1/14
Calculate ((-2966)/(-1239788))/(1/(-11)).
-1/38
What is (12/(-20))/(3798/(-240540))?
38
Calculate ((-7)/(-4))/(29/(667/161)).
1/4
Evaluate ((-49)/(-588))/((-3306)/(-456)).
1/87
Evaluate (-3)/(-3270)*53840/(-2692).
-2/109
Calculate 52/364*1*259.
37
Calculate ((-168)/(-68))/(654/(-14824)).
-56
Evaluate ((-63)/707)/(8*(-63)/56).
1/101
Evaluate -74*9/162*9*(-52)/(-52).
-37
Calculate 16/(-12)*3348/(-1488).
3
Calculate 10/33*(-3042)/845*-11.
12
Evaluate (((-7)/((-56)/(-4)))/((-8)/(672/21)))/19.
2/19
Calculate 1*(-68)/(-34)*-75*(-1)/(-2).
-75
What is (702/(-13))/(6*31/((-1488)/128))?
27/8
Evaluate 1/12*-558*4/6.
-31
What is (-6)/11*(-3168)/(-240)*30/(-24)?
9
What is the value of ((39/(-65)*105/(-126))/((-4)/40))/17?
-5/17
What is ((732/7686)/((-2)/(-9)))/((-16)/4)?
-3/28
What is the value of 8/88*11*14/350?
1/25
Evaluate (((12/10)/2)/3)/(143/(125125/(-75))).
-7/3
What is the value of ((-22)/77)/(-2)*28*(-4)/(-88)?
2/11
What is (-5328)/30*21260/(-102048)?
37
Calculate (-215)/1204*88/330.
-1/21
What is the value of (1/(-6))/(23/((-8694)/28))*(-26)/780?
-3/40
-17*-2*((-58)/145)/(32/20)*10
-85
What is 90/((5/(30/(-9)))/((-462)/(-616)))?
-45
Calculate (290/(-1740))/(24/(-16)*(-4)/48).
-4/3
What is the value of (168/(-21))/((-9)/(-36))*(-9)/(-42)?
-48/7
What is the value of ((-1)/(-6))/(3334/(-470094))?
-47/2
Evaluate ((-9)/18)/((-14)/(-1848))*12/24.
-33
Calculate (-82)/(-205)*300/(-2)*9/(24570/84).
-24/13
What is (8*(-18)/2304)/((18/60)/(1/5))?
-1/24
-42*((-6)/16)/((628/(-1570))/((-8)/(-15)))
-21
What is (((-2)/(-32))/(4614/135344))/(((-55)/210)/11)?
-77
What is (-11)/(((-90)/3510)/(-14*10/(-2310)))?
26
What is the value of (2/(-180))/(-156*(-120)/(-17280))?
2/195
What is ((-18)/5)/((-11586)/154480)?
48
Evaluate ((-31)/(1364/(-418)))/((3/2*-1)/3).
-19
Evaluate ((-76)/(-418))/(2/11)*(-714)/28203.
-2/79
What is the value of 5*6*(-787)/(-43285)?
6/11
Evaluate (5/(120/(-9)))/((-1512)/112).
1/36
Evaluate (-4)/2*(-3477)/(1464/(-24)).
-114
What is the value of (1050*133/2793)/20?
5/2
Evaluate -285*-46*(-135)/(-15525).
114
Evaluate ((-11)/(-418))/(13*23/(-92)).
-2/247
Evaluate 3/(1809/21)*(11753/1022)/((-483)/(-12)).
2/201
(-63*11/(-6)*(-2000)/5500)/(3/(-4))
56
Evaluate (-5467)/3124*(-24)/4515.
2/215
What is the value of (-1344)/2688*(-11)/((-11)/(-190))?
95
What is (6/21)/(468/(-16380)*30/(-31))?
31/3
Calculate (-1449)/(-92)*157/(-942).
-21/8
What is 24*(-41)/615*35?
-56
-11*(-1)/3*3087/3773
3
What is ((-4)/30)/((1/6)/(((-40420)/(-80))/47))?
-43/5
Evaluate 1250/(-9500)*5*12/(-150).
1/19
Calculate (63/(-9))/(2/(-2356)*-133).
-62
What is (176249/(-2370))/(-97)*-6?
-23/5
Evaluate (7160/(-44750))/((-6)/30).
4/5
((-4)/(-234))/(1/26*(-21)/(-21))
4/9
Evaluate ((-64)/(-10))/((-2268)/(-945)).
8/3
What is the value of (((-180)/48)/5)/((2/88)/(5/(-5)))?
33
What is 26/(-4420)*-70*(-68)/(-4)?
7
((-154)/79233*245)/(4/90)
-75/7
20264/(-111452)*12/(-8)*(-22)/492
-1/82
Evaluate (2/(-105)*-21)/((-2)/1*(-63)/(-525)).
-5/3
What is the value of (24/(-27)*-6)/((-462)/198)?
-16/7
((-72)/45)/((-12)/(-130))*598/(-2392)
13/3
Evaluate -29*(-90)/(-522)*(-117)/(-3)*(-1)/3.
65
16/(-12)*2/(8/102)*(-383)/(-383)
-34
What is (-16)/6*(-228819)/6856?
89
What is the value of (-15)/2*-13*(261708/(-6755))/(-339)?
78/7
Calculate 2/(4/18)*163894/38817.
38
What is the value of (-513)/(-63)*1379/394?
57/2
Calculate ((-192)/320)/((-30)/(-96900)*-17).
114
5/(-3)*3/(-15)*29
29/3
What is the value of ((-153)/34)/9*0*-3*2/(-48)?
0
Calculate ((-17)/(-15))/((-106454)/(-31310)).
1/3
Evaluate ((-16)/64*132/3)/((-8)/(-24)).
-33
Calculate (3/25)/(1672/(-104500)).
-15/2
(354/(-3186))/(2/30)*-18
30
Calculate -13*405/9828*(-30)/225.
1/14
Evaluate ((-31)/558*(-48)/204)/(4/6).
1/51
Evaluate ((-176)/40)/(56/(-140))*3/77.
3/7
What is 7*(-2)/(-238)*(-63)/((-1890)/300)?
10/17
Calculate (7425/110)/(-9)*(-32)/(-6).
-40
What is the value of ((-80)/64)/((-12960)/5832)?
9/16
Evaluate (-24)/((-12)/4)*(80/36)/(-10)*9.
-16
Evaluate (((-3)/30*26)/((-766)/(-3830)))/2.
-13/2
7/273*1534/(-472)
-1/12
What is (-24)/(-18)*1926/28*(2254/(-84))/23?
-107
What is ((-50)/(-30)*3)/(3/2*(-2)/6)?
-10
Evaluate (6*-5*(-570)/(-2565))/(-5*(-9)/540).
-80
Calculate (-434830)/670*(-4)/44.
59
Calculate (15/20)/(((-265)/5512)/((-35)/(-14))).
-39
Evaluate (-60)/(-12)*1886/123*(-3)/5.
-46
((-75)/(-570))/(180/576)
8/19
What is the value of ((-111)/((-47619)/390))/(16/22)?
5/4
Evaluate (18/51)/(31248/8432).
2/21
(1*-3*8/(-60))/(85/146200*43)
16
Calculate 12/(-4)*(-4)/24*96/(-224).
-3/14
What is the value of 4044/13480*1480/(-12)?
-37
What is ((2784/73080)/(1/10))/((-1)/3)?
-8/7
What is (2*-1*-142)/(108*(-220)/(-5940))?
71
What is the value of (-15)/(-9)*(-1314)/(-1752)?
5/4
(-44527)/(-19083)*(-18)/(-119)
6/17
What is 5*15/(-495)*(-132)/110*6/8?
3/22
396/(-24)*(-1524)/(-150876)
-1/6
What is the value of ((144/(-30))/(-4))/(((-15)/200)/((-17)/136))?
2
What is -1*(-9)/3*(-3)/594*-143?
13/6
Calculate (-16)/((-1408)/(-33))*(-1288)/(-18354).
-1/38
Calculate (12/36)/((20/(-420))/((-6)/483*1)).
2/23
Calculate 63/(-30)*30/(-245)*(-1484)/159.
-12/5
Evaluate ((-666)/21)/(9540/11130).
-37
(-4)/((-212)/689)*1
13
What is the value of (12/(8/(-2))*55/165)/(25/(-550))?
22
Calculate ((6/(-70))/((-116)/1044))/(9/15).
9/7
Calculate (((-1)/4)/(((-340)/(-34))/10))/(-3).
1/12
Calculate (-11)/(9240/(-9))*888/(-1332).
-1/140
Evaluate (((-13685)/1564)/(25/(-12)))/(48/5).
7/16
((-15)/((-180)/14))/((-14)/(-66))*-2
-11
312/16*(132/308)/(15/(-70))
-39
Calculate ((-887)/(-10644))/((117/(-12))/3).
-1/39
What is (20580/3185)/(120/104)?
28/5
Evaluate (222/185)/(30/1275).
51
What is (-4)/(-474)*((-97)/(7178/(-111)))/(2/4)?
2/79
Calculate (-4837)/(-174132)*6/(-4).
-1/24
1872/(-78)*63/(-72)
21
Calculate (-28)/20*(384/1024)/(66/40).
-7/22
Calculate 3456/288*125/(-20).
-75
What is the value of (105/((-20160)/96))/(2*(-1)/112)?
28
Evaluate 1/((-26)/(-39))*-5*(-8)/(-300).
-1/5
What is the value of (-276)/((-20)/5)*(-3353)/(-10059)?
23
What is the value of (12/22)/(12/(-22)*(-154)/56)?
4/11
(-2440)/91500*-1*1
2/75
Evaluate ((-4025)/(-644))/((-525)/30).
-5/14
(-380)/12*((-3)/12)/((-305)/1464)
-38
What is the value of (10/(-6))/1*1155/275?
-7
Evaluate (117/13)/(-63)*((-66080)/128)/5.
59/4
What is 620/(-31)*5/5*(-6)/20*-4?
-24
Evaluate (64/(-40)*1)/(-592*(-46)/1840).
-4/37
Evaluate ((-5920)/(-2368))/((-2)/28).
-35
Evaluate (39/((-273)/56))/(10/18*6/(-15)).
36
What is 61/((-2135)/238)*25/5?
-34
What is (-99)/2574*40/10?
-2/13
Evaluate ((-2205)/(-135))/(40/30)*(-16)/(-4).
49
What is the value of (86/(-473))/((-358)/(-61039))?
-31
What is the value of ((-14)/(-6))/(2979/62559)?
49
((-528)/3960)/(33/((-5049)/(-34)))
-3/5
Evaluate (-46*(-28)/1610)/((45/150)/((-57)/(-4))).
38
What is the value of (-41297)/1354*2/(-1)?
61
86/(-8)*(-3024)/756
43
Evaluate ((-432)/(-108))/((-3)/270*-4).
90
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
ort 3, z, -4 in descending order.
3, z, -4
Let u = 111 - 114. Sort u, 0.3, 10, 2/7.
u, 2/7, 0.3, 10
Let a = -10 + 11. Put -5, -33, a in decreasing order.
a, -5, -33
Let l(h) = -h**3 + 6*h**2 + 8*h. Let k be l(7). Let m = k - 3. Put m, 3, -4 in ascending order.
-4, 3, m
Let b be (-10)/12 + (-1)/(-2). Let k = 64.1 + -57. Let h = k - 7. Put 3/8, h, b in descending order.
3/8, h, b
Let p(r) = -r + 3. Let w(i) = 2*i - 5. Let b(n) = -5*p(n) - 2*w(n). Let d be b(10). Put d, -4, -5 in ascending order.
-5, -4, d
Let w(b) = -b**2 - b + 2. Suppose 2*o + 3*o = 10. Let i be w(o). Let j = -14 + 15. Sort j, i, 3.
i, j, 3
Let u be 26/(-10) + (-30)/75. Let k = 1 + -2. Sort u, -5, k in descending order.
k, u, -5
Let g be (4/(-6))/((-2)/12). Let p(z) = -z + 3. Let x be p(5). Let m be (4/(g/2))/x. Put m, -5, -3 in descending order.
m, -3, -5
Let m = -14.5 + 14.4. Let c = -1.1 - -0.1. Sort 0.3, m, c.
c, m, 0.3
Let w = 2 + 10. Let p = 11 - w. Put -5, 1/5, p in descending order.
1/5, p, -5
Let o be 2*-1*(-7)/14. Sort 2, o, -8.
-8, o, 2
Let v = 10.3 + -10.3. Let y = -5 - -5.08. Sort v, y, -1.
-1, v, y
Let p = 6 + -10. Let c = p - -2. Put -3, c, -5 in ascending order.
-5, -3, c
Let r = -13 - -13. Suppose r = -4*h + 3*h - 4. Put h, -3, -1 in ascending order.
h, -3, -1
Let a = -14 + 17. Let x = 3.3 + -3. Let f be ((-2)/(-2))/1 - 0. Sort x, a, f in decreasing order.
a, f, x
Let c = -103 + 103.4. Let m = -2.99 - 0.01. Sort 4, m, c in decreasing order.
4, c, m
Suppose 1 - 4 = -s + 5*n, 4*s = -3*n - 34. Let r = s - -10. Let a = 428 - 423. Sort -3, a, r in increasing order.
-3, r, a
Let d = 25 - 24. Let a(p) = 2*p. Let m be a(1). Sort -3, m, d in decreasing order.
m, d, -3
Let v be (-7)/56*20/(-3). Sort v, -2, 5, -5/2.
-5/2, -2, v, 5
Let c = 75 - 74. Suppose 3*y - 10 = -2*y. Sort y, c, 0.
0, c, y
Suppose 0*r - 2*r = z + 14, -18 = z + 3*r. Suppose -1 = 3*t - 4. Put z, -3, t in decreasing order.
t, -3, z
Suppose -3*t + 2*f = 1, 0 = 5*t + f - 20. Let i(a) = -a**2 + a + 20. Let q be i(0). Let n be (-2)/q*(t - 2). Sort -3, n, 3.
-3, n, 3
Suppose -x = 2*x. Suppose -t + 2 = t, x = -4*b + 4*t. Sort b, -1, -3 in ascending order.
-3, -1, b
Let r = -8 + 5. Let o = 209 - 213. Put r, 3, o in descending order.
3, r, o
Let q(d) = 3*d**2 - 2*d + 1. Let f be q(1). Suppose -f*a + 4*a = -6. Sort -0.4, a, 2.
a, -0.4, 2
Let m(v) = -2*v**3 - 6*v**2 - 1. Let u be m(-5). Let g be u/90 - (-2)/(-4). Sort 2, -0.1, g in ascending order.
-0.1, g, 2
Let k = -4 + 4. Let p(u) = -u**3 + 4*u**2 - 3*u + 1. Let q be p(2). Suppose -q*c = -0*o + 2*o, 4*o + 12 = 0. Put 3, c, k in increasing order.
k, c, 3
Suppose -5*c - 37 = -3*b, -3*c - 2*b + 0*b = 7. Sort -4, -2, c in ascending order.
c, -4, -2
Let m be 2/2 + (-17)/34. Let k = 2 - 6. Suppose 0 = -4*l - 16, 0*a - 4*a + 8 = l. Put k, a, m in ascending order.
k, m, a
Let y be 22/(-6) + (-2)/(-3). Let v be (y/2)/(3/(-10)). Sort 1, v, -2.
-2, 1, v
Let p = 7.3 + -7.6. Put p, -1/4, 6/5 in ascending order.
p, -1/4, 6/5
Let j = 0.06 - -0.94. Let l = -99 + 94.3. Let v = l - -5. Put j, v, 5 in increasing order.
v, j, 5
Suppose -2*r + 0 = -4. Put 3, 0, 4, r in ascending order.
0, r, 3, 4
Let r = -49 - -45. Put -2, 0.4, r, -0.1 in decreasing order.
0.4, -0.1, -2, r
Let z(k) = k**2 - 2*k - 40. Let o be z(7). Let n = 19 - 39/2. Put o, 2, n in decreasing order.
2, n, o
Let v = 5 + -2. Suppose 3*l = -l + 60. Let p be (-4)/l*30/36. Sort v, 4, p in increasing order.
p, v, 4
Let o = -62/7 - -200/21. Put -1, o, 1/3 in descending order.
o, 1/3, -1
Let a = 252 + -256.11. Let u = 0.11 + a. Sort 1/2, -0.5, u in descending order.
1/2, -0.5, u
Let s(h) = h + 6. Let d be s(-6). Suppose p + 4 - 3 = d. Put 2, 0, p in descending order.
2, 0, p
Let d = 13 - 8. Let a = 12 + -12.5. Put 3, d, a in decreasing order.
d, 3, a
Let v = 2 - -4. Let l be 1*v*2/4. Suppose -25 = -48*h + 53*h. Put h, l, 5 in increasing order.
h, l, 5
Let l(v) = 5*v**2. Let p be l(1). Suppose 5*b = -0*b - 165. Let q be (-126)/33 - (-6)/b. Sort p, q, 2 in decreasing order.
p, 2, q
Let b = -0.398 - 0.022. Let k = -0.02 - b. Let w = -1.5 - -5.5. Sort w, -3/2, k in increasing order.
-3/2, k, w
Suppose -3*r = 4*v - 161, 5*v - 4*r - 21 - 219 = 0. Sort 2, 1, v.
1, 2, v
Let y be 2/(-23) + 364/483. Sort -1.2, y, 2, -2 in descending order.
2, y, -1.2, -2
Let o = 20 - 20.5. Sort 8, o, 0.
o, 0, 8
Let h be 1*(25 + 0 + 0). Suppose 0*i - 5*x = i + h, 5*x = i - 25. Suppose 6 = 3*b - i*b. Put 5, b, 1 in decreasing order.
5, b, 1
Suppose -r - 38 = -3*w - w, -w = -5*r - 171. Let h be 47/r - (-9)/6. Let n = 1/5 - 0. Put n, h, -2 in decreasing order.
n, h, -2
Suppose -5*g = -3*g - 6. Suppose g = 4*m - m. Suppose 5*w + 8 = w. Put m, -1, w in decreasing order.
m, -1, w
Let d = 9 - 10. Let p be ((-2)/(-6))/(1/(-3)). Let f = p + 2. Put -3, d, f in ascending order.
-3, d, f
Let z = 5.2 + -3.6. Let b = 0.08 + -0.68. Let m = b + z. Put 0.5, 3/4, m in descending order.
m, 3/4, 0.5
Let m = 4.06 + -0.06. Let t = m - 5. Sort t, -3/8, 0.1 in decreasing order.
0.1, -3/8, t
Let c(f) = -f + 10. Let b be c(15). Sort b, -2, -1/2.
b, -2, -1/2
Let w be (-2)/(-11) + (-288)/858. Put w, 5, 0 in decreasing order.
5, 0, w
Let m(o) = 4*o**2 + 2*o**2 - o**3 + 2 - 5. Let p = -5 - -11. Let y be m(p). Sort -0.5, -2, y in ascending order.
y, -2, -0.5
Let o = 14 - 12. Suppose 3*f - 3*z = 0, -3*z - 4 + 2 = -f. Put -4, o, f in descending order.
o, f, -4
Suppose -x + 0 = 1. Let g be (2 + 1)*(x - 0). Let r = g + 2. Sort 3, -0.3, r in ascending order.
r, -0.3, 3
Suppose -4*a = -3*f + f + 10, 5*a + 11 = 4*f. Put a, 3, 0 in descending order.
3, 0, a
Suppose 3*w + 2*j + 78 = 0, 0 = -2*w - 4*j - 63 + 11. Let y be (-2 + 0)/(w/(-39)). Put 4, 8, y in descending order.
8, 4, y
Suppose -y + 7 = 5. Put y, -1, 5, -4 in ascending order.
-4, -1, y, 5
Let o be 10/(-1)*(-2)/4. Suppose -5*s = 2*p - 64, -3*s + 2*p = -0*p - 48. Let k be (-5)/7 - 4/s. Put 2, k, o in decreasing order.
o, 2, k
Let p = -498.01 + 494. Let d = p + 0.01. Let s = d - 0. Put -3, 1, s in descending order.
1, -3, s
Let k = -254/469 + -2/67. Put 0.2, -11, k, -1/4 in descending order.
0.2, -1/4, k, -11
Let l = -4.59 + 0.19. Let u = l + 4. Put -2, -1, u in decreasing order.
u, -1, -2
Let f = 2 - 3. Let h(x) = x**2 - 9*x + 8. Let o be h(8). Sort o, f, 1 in increasing order.
f, o, 1
Let j = -2 - -3. Let w = -2 + j. Let c = -8/45 + -1/45. Sort c, 2, w in decreasing order.
2, c, w
Let r(w) = w**3 - 7*w**2 + 7*w - 3. Let a be r(6). Sort a, 0, 1 in increasing order.
0, 1, a
Let t be (-44)/(-88) - (0 + (-1)/2). Sort t, -1, -2, 49 in ascending order.
-2, -1, t, 49
Let l = 23 - 28. Sort 0.3, l, -2.
l, -2, 0.3
Let t = -9 + 13. Let q = -0.2 + 0.3. Put t, q, -1/5 in decreasing order.
t, q, -1/5
Let p be 12/(-9)*(-3)/2. Let b be (0 - -4)/((-4)/(-6)). Suppose b*q = q + 15. Put p, q, -3 in ascending order.
-3, p, q
Let n be ((-2)/(-5))/(1/5). Let q be 2 + 3 - -2 - n. Suppose 3*y = -2*w - 22, -q = -y + 2*w + 1. Sort 3, y, -2 in descending order.
3, -2, y
Suppose -7*b - 80 = 9*b. Sort 0, b, 3, -2 in decreasing order.
3, 0, -2, b
Let i = 1.6 + -1.6. Put 6, -5, i in decreasing order.
6, i, -5
Suppose -o + 2 = -0. Let w(q) = 2*q + 6. Let n be w(-3). Let x = o - n. Sort 1, x, 4 in descending order.
4, x, 1
Suppose -l + 19 = 4*u - 9*u, 0 = 4*l + 3*u + 39. Suppose -4*i - 17 = -3*x + i, 5*x - i + 1 = 0. Let m = l - x. Sort 5, 3, m.
m, 3, 5
Suppose -5*p + 4 = -p, -2*p = -5*h + 8. Suppose -9 = -3*y, 11 = t + 7*y - 2*y. Sort 0, h, t.
t, 0, h
Let v = 0.2 - 0.1. Let w = -0.1 + 1.2. Let f = w - v. Sort -4, f, -3.
-4, -3, f
Let v be 2 + (4 + -2)/2. Suppose 0*r + 5*r = 5*b + 55, -3*r = -2*b - 30. Let a be 15/6*r/10. Put a, -1, v in ascending order.
-1, a, v
Suppose 5*x - 14 = 6. Suppose 0 = u + d - 4, -u - 5*d + 0 = -x. Let w = u + -2. Sort 3, w, 5 in ascending order.
w, 3, 5
Let g be 6/3*(0 + 1). Let u = -1 - -2. Sort -1, g, u in decreasing order.
g, u, -1
Let w = -9 + 2. Sort w, 1, -0.1 in increasing order.
w, -0.1, 1
Let j be 11 - 8 - (-3 + 2). Let v = 11 + -8. Sort 5, j, v.
v, j, 5
Let a = -81/14 - -30/7. Put a, 3, -1/3 in descending order.
3, -1/3, a
Suppose -4*l - 2032 = -4*m, -2*m - 2*m + 1010 = -2*l. Let v be (2/3)/(38/29121). Let j = l + v. Sort 0.3, j, 1/2.
j, 0.3, 1/2
Let i = -0.3 - -0.7. Let l = -0.8 + i. Sort l, 4, -5.
-5, l, 4
Let h = -3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 10*j + 10*j - 30*j. Give y(h(i)).
412*i**2
Let i(m) = 0*m**2 + 0*m**2 - 7*m**2 + 4*m**2. Let j(q) be the first derivative of -q**2 + 75. What is i(j(d))?
-12*d**2
Let j(k) = 12*k - 3. Let v(m) = -1277*m. Calculate j(v(i)).
-15324*i - 3
Let d(m) be the third derivative of -m**5/15 + 17*m**2. Let y(l) = -31*l**2 - 13. Let q(z) = -5*z**2 - 2. Let c(g) = -39*q(g) + 6*y(g). Calculate d(c(a)).
-324*a**4
Let s(k) be the second derivative of -3*k**3/2 - 2*k + 55. Let v(o) = 9*o**2 + 1. Determine v(s(y)).
729*y**2 + 1
Let f(m) = 2*m - 30. Let l(p) = -270 + 270 - 570*p + 571*p. What is l(f(y))?
2*y - 30
Suppose 45*b - 40*b - 85 = 0. Let q(g) = 119 - 119 + b*g**2. Let i(w) = 2*w**2. Determine q(i(x)).
68*x**4
Let u(m) = -19*m. Let s(x) = 0*x + 4 - x + x**2 - 2*x**2 - 3. Let f(n) = 4*n**2 + 5*n - 5. Let h(o) = -f(o) - 5*s(o). What is h(u(y))?
361*y**2
Let m(z) = -3*z**2. Suppose 328*j = 343*j. Let i(x) be the first derivative of 3/2*x**2 + 4 + j*x. Calculate i(m(n)).
-9*n**2
Let c(g) = 2*g. Let i(k) = -124581*k**2. What is c(i(n))?
-249162*n**2
Suppose -5*z + 35 = 5*v, 35 = -0*v + 5*v + 2*z. Let g(l) = -v*l**2 + 8*l**2 - 18*l + 18*l. Let a(w) = 2*w. Give a(g(c)).
2*c**2
Let y(c) be the first derivative of -c**2/2 + 49*c - 212. Let i(g) = 3*g. Calculate y(i(m)).
-3*m + 49
Let t(w) = 59*w - 4. Let f(y) = 3124*y - 213. Let h(j) = 4*f(j) - 213*t(j). Let r(b) = -3*b**2. What is h(r(p))?
213*p**2
Let y(i) = 15*i. Let m(o) be the third derivative of 0*o + 26*o**2 + 0 + 0*o**3 + 1/12*o**4. Calculate y(m(v)).
30*v
Let t(i) be the first derivative of -3*i**2/2 + 180. Let u(x) = -65*x. Determine u(t(f)).
195*f
Let s(l) = 3853*l**2. Let y(n) = -n**2. Give y(s(t)).
-14845609*t**4
Let v(x) = -3*x**2 + 4*x. Suppose 0 = -2*b + 11 + 11. Let d(m) = 8*m**2 - 11*m. Let s(y) = b*v(y) + 4*d(y). Let h(n) = -2*n + 6*n + 0*n. Calculate h(s(p)).
-4*p**2
Let w(y) = -99*y. Let v(p) be the first derivative of -5*p**2/2 + 156. What is v(w(k))?
495*k
Let x(a) = 124*a + 10. Let q(o) = 9983*o + 804. Let u(b) = 5*q(b) - 402*x(b). Let z(h) = -3*h. What is z(u(r))?
-201*r
Let f(a) be the first derivative of 152*a**3/3 - 2*a + 894. Let n(o) = -o. Determine f(n(c)).
152*c**2 - 2
Let z(r) = -3*r**2. Let k(b) be the second derivative of -b**7/840 + 7*b**4/4 + 11*b. Let s(x) be the third derivative of k(x). Give s(z(i)).
-27*i**4
Let x(d) = 2*d. Let y(t) = 18092*t. What is y(x(s))?
36184*s
Let b(c) = -c. Let q(y) = 5*y - 8745. Determine q(b(f)).
-5*f - 8745
Let l(i) = 6*i**2. Let y(a) = 10*a - 883. What is y(l(m))?
60*m**2 - 883
Let g(b) = 4*b. Let o(d) = d**2 + d. Let h(p) = 22*p. Let v(z) = -h(z) + 22*o(z). Calculate g(v(k)).
88*k**2
Let m(l) = -313 + 313 - 19*l**2. Let z(i) = 6*i**2. Calculate z(m(v)).
2166*v**4
Let z(b) = -13*b. Let s(x) = -485*x + 1. What is s(z(i))?
6305*i + 1
Let d(z) = 2*z**2. Let n(m) = -19*m**2 - 5*m + 5. Let x(w) be the first derivative of 3*w**3 + w**2 - 2*w + 19. Let t(u) = -2*n(u) - 5*x(u). What is t(d(j))?
-28*j**4
Let a(w) = -8*w**2 - w + 775. Let l(p) = 12*p. Give a(l(k)).
-1152*k**2 - 12*k + 775
Let m(o) = 3*o. Let n(p) = 12463 + 116*p - 12463. What is n(m(t))?
348*t
Let s(g) = -g. Let c = 51 + -45. Let p(h) = 2*h**3 - h**2 + h. Let t be p(1). Let u(d) = -d + t*d - c*d. Determine s(u(q)).
5*q
Let l(c) be the second derivative of -14*c**3/3 + c. Let r(y) = -9*y**2 - 13*y**2 - 11*y**2 + 47*y**2 - 15*y**2. Give l(r(f)).
28*f**2
Let f(x) = 11*x**2 - x. Let c(q) = -3*q**2 + 364044*q - 364044*q. What is c(f(g))?
-363*g**4 + 66*g**3 - 3*g**2
Let h(l) = 46*l**2 - 6*l. Let k(f) = -23*f**2 + 4*f. Let n(w) = -3*h(w) - 5*k(w). Let b(a) = -7*a. What is b(n(q))?
161*q**2 + 14*q
Let u(r) = -15*r**2. Let c(h) = -1121*h**2. Determine c(u(k)).
-252225*k**4
Let r(t) = 49*t - 153*t + 53*t + 50*t. Let d(y) = 5*y. Determine r(d(f)).
-5*f
Let p(a) be the first derivative of -2*a**2 - 2*a + 105. Let c(z) = z**2. What is c(p(i))?
16*i**2 + 16*i + 4
Let s(i) = -2*i**2. Let w(o) be the first derivative of -2*o**5/15 - 35*o**2/2 + 12. Let p(q) be the second derivative of w(q). What is p(s(l))?
-32*l**4
Let g(j) = -22*j - 2 + 2 + 23*j + 4*j. Let n(y) be the second derivative of -7*y**4/12 + 3*y. Calculate g(n(m)).
-35*m**2
Let q(f) = -1 - 4*f + 1. Let r(y) = -y + 20. Let o be r(14). Let p(w) = 0 + w + o - 6. Determine p(q(j)).
-4*j
Let p(f) be the first derivative of -f**3/3 - 352. Let j(u) = 0*u**2 - 5*u**2 + 4*u**2. Give p(j(h)).
-h**4
Let l(w) be the first derivative of -5 + 0*w**3 + 6*w + 0*w**2 - 1/12*w**4. Let x(i) be the first derivative of l(i). Let k(o) = 12*o**2. What is k(x(b))?
12*b**4
Let g(s) = -2*s**2. Suppose -18*q = -14*q - 124. Let a(t) = -23 + q*t + 23. What is g(a(o))?
-1922*o**2
Let v(g) = 9*g**2. Let w be ((-16)/6)/(10/(-570)). Let c(x) = -w*x**2 + 79*x**2 + 78*x**2. Determine v(c(j)).
225*j**4
Let t(o) be the second derivative of 3*o**3 + 225*o. Let j(z) = 4*z**2. Determine t(j(y)).
72*y**2
Let y(p) = -p**2. Let o(f) be the first derivative of 0*f - 4 + 4/3*f**3 + 0*f**2. Determine o(y(a)).
4*a**4
Let k(u) = 8*u**2 + 0*u**2 + 8*u**2 + 0*u**2. Let q(x) = 15*x. Give q(k(d)).
240*d**2
Let q(c) = -6*c**2 - 8*c + 4. Let j(g) = 5*g**2 + 6*g - 3. Let f(o) = -4*j(o) - 3*q(o). Let a(b) = 19*b. Calculate f(a(w)).
-722*w**2
Let r(z) = -4*z + 1. Let p(o) = -3718*o. Calculate r(p(s)).
14872*s + 1
Let q(u) = -u**2. Let j(t) be the first derivative of 46*t**3 + 83. Give j(q(x)).
138*x**4
Let a(z) = -3*z. Let c(t) = t + 7. Let q(m) = 3*m. Let o be q(2). Let n be c(o). Let g(f) = f. Let p(x) = n*g(x) + 6*a(x). Let l(y) = y**2. What is l(p(b))?
25*b**2
Let u(t) = 22*t**2 + 46*t**2 - 67*t**2. Let b(d) = d + d**2 - d. Calculate u(b(f)).
f**4
Let z be -5*(-5)/50*6. Let l(c) = 17*c - z*c**2 + 19*c - 36*c. Let f(a) = -7*a**2. Determine l(f(r)).
-147*r**4
Let w(u) = 2*u**2. Let z be 1*(4 + -7 + 8). Let t(c) be the first derivative of z + 2 + c**2 + 2. Determine w(t(o)).
8*o**2
Let k(i) = 2*i. Suppose -2 = 4*c + 2. Let m = c - -3. Let a(y) = 4*y - 4*y - m*y. Calculate k(a(g)).
-4*g
Let z(c) = -210*c. Let r(n) = -3*n. Let y(j) = 75*r(j) - z(j). Let d(b) = -13*b**2. What is d(y(u))?
-2925*u**2
Let r(z) = -15 + 4*z + 15. Let p(o) = -2*o**2 - 5*o**2 + 27*o**2 - 12*o**2. What is p(r(x))?
128*x**2
Let u(v) = -19*v**2. Let o(r) = -180*r**2 + 24*r - 24. Let z(f) = 36*f**2 - 5*f + 5. Let x(p) = 5*o(p) + 24*z(p). Determine u(x(q)).
-24624*q**4
Let d be -2 + 44 + 3/(-1). Let k = d + -22. Let g(a) = 11*a + k*a - 26*a. Let s(c) = 15*c. What is s(g(l))?
30*l
Let v(o) = 30*o - 4. Let k(h) = 242*h - 33. Let a(b) = 4*k(b) - 33*v(b). Let g(d) = 2*d**2 - 2*d**2 - 2*d**2. Determine g(a(i)).
-968*i**2
Let l(z) = -151 - 3*z + 151. Suppose -u = -4 + 2. Let h(k) = k**2 - u*k**2 + 0*k**2 - 4*k**2. What is l(h(d))?
15*d**2
Let s(a) = -9*a**2 + 26*a. Let j(m) = -4*m**2 + 12*m. Let v(l) = 13*j(l) - 6*s(l). Let i(q) = -7*q**2 - 8. Give v(i(p)).
98*p**4 + 224*p**2 + 128
Let n(h) = -79167*h. Let w(q) = 4*q**2. Give n(w(c)).
-316668*c**2
Let p(k) be the first derivative of 4*k**3 + 1. Let x(c) = -22*c**2 - 18*c + 9. Let v(u) = -10*u**2 - 8*u + 4. Let h(i) = -9*v(i) + 4*x(i). What is p(h(d))?
48*d**4
Let j(z) = 2*z**2. Let u be (-14)/8*(-7 - (-1 - -2)). Let r(k) = -3*k**2 - 2*k + 2. Let a(x) = 10*x**2 + 7*x - 6. Let d(f) = u*r(f) + 4*a(f). Give d(j(h)).
-8*h**4 + 4
Let x(w) = -1035 - 9*w - 4*w + 1041. Let k(z) = 2*z. Calculate x(k(q)).
-26*q + 6
Let u(w) = 8*w + 5. Let s(x) = 2*x + 1. Let a(h) = -5*s(h) + u(h). Let g(j) = -57*j. Determine a(g(r)).
114*r
Let l(n) = -2. Let f(v) = -2*v - 4. Let i(p) = f(p) - 2*l(p). Let b(c) = 8*c**2. Give b(i(m)).
32*m**2
Let t(v) = 2*v**2 + 67. Let w(o) = -o**2 - 33. Let n(c) = -3*t(c) - 5*w(c). Let u(d) = d. Determine n(u(l)).
-l**2 - 36
Let r(p) = 79*p + 3 - 3 - 94*p. Let x(m) = 8*m**2. Calculate x(r(l)).
1800*l**2
Let o(k) = 2*k - 1. Let q(s) = -20*s + 12. Let n(i) = 12*o(i) + q(i). Let t(a) = -6*a**2 - 4*a. Calculate t(n(m)).
-96*m**2 - 16*m
Let n(w) be the second derivative of -w**3/6 - w**2/2 - 14*w. Let q(x) = 42*x + 24. Let o(s) = -24*n(s) - q(s). Let h(z) = 2*z**2. Calculate h(o(b)).
648*b**2
Let h(l) = 3 + 1 - 2. Let q(n) = -n - 1. Let z(m) = h(m) + 2*q(m). Let c(u) = -43*u**2 + 105*u**2 - 42*u**2. What is c(z(y))?
80*y**2
Let b(j) be the third derivative of j**7/5040 - j**
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{
"pile_set_name": "DM Mathematics"
}
|
= -3*s + 99. Let l(i) = 4*i**2 - 4*i - 112. Let u be l(6). Solve s - u = -5*j for j.
-5
Let j be -6 + ((-13)/2 - 0)*10. Let o = j + 71. Solve o = -0*f - 4*f for f.
0
Let t = 13677 + -13648. Solve -p + t = 28*p for p.
1
Suppose s + 4*q - 16 = -4*s, -s + 20 = 5*q. Suppose 121*n = 123*n - 5*z - 13, 0 = 4*z + 4. Solve -n*i + s = -20 for i.
5
Let l = -32 - -112. Let o(k) = -k**2 + 31*k - 12. Let i be o(33). Let t = l + i. Solve q = -t*q for q.
0
Suppose 5*j = 20 - 0. Suppose 0 = -5*s + b - 145, j*b + 13 = -s + b. Let d be (18/(-21))/(8/s). Solve -d*n = 6 + 9 for n.
-5
Let t(i) = 25*i - 182. Let k be t(7). Let p(d) = -4*d**2 - 26*d + 19. Let b be p(k). Solve -b*x = -x for x.
0
Let k = -183 + 188. Suppose -5 - 9 = -4*j - k*i, -2*j - 6 = -4*i. Solve -5 - j = -6*v for v.
1
Let d = 3466 + -3449. Solve -d*r = -11*r + 30 for r.
-5
Suppose 13 = 4*z + 5. Suppose -z*i + 21 = 4*w - 31, 0 = 4*w + 5*i - 52. Suppose -2*j - 6*n + w = -3*n, 3*j - 19 = -4*n. Solve -j*g + 15 = -0 for g.
3
Suppose 5*l = 4*m - 41 + 127, 4*m - 26 = -3*l. Solve 9*b + 6*b + l*b = 0 for b.
0
Let a(i) = i**3 + 31*i**2 + 1. Let m be a(-31). Let q be ((-10)/3)/(119/(-105) + m). Solve 13*b - 18*b = q for b.
-5
Let t(d) = 1 - 5*d**2 - 8 + 10*d + 6*d**2. Suppose 0 = -28*m + 11*m - 204. Let z be t(m). Solve -2*x + 21 = z for x.
2
Let m = -360 - -352. Let n be m/(-3) - (-4)/12. Solve 0*k + n = -3*k for k.
-1
Let l = -118 - -114. Let d(s) = -s - 1. Let a(h) = 5*h + 10. Let j(c) = a(c) + 4*d(c). Let b be j(l). Solve 3*p - b*p + 1 = 0 for p.
-1
Let h be 222*4/(-8)*-2. Let b be h/27 - 4/18. Suppose -10*m + 24 = -b*m. Solve -5*q = m - 37 for q.
5
Let g be (2 - 2911/1349) + (-1070)/(-38). Let p(y) = -3*y + 5. Let u be p(-4). Solve -g - u = -9*j for j.
5
Let r(z) = 2*z**2 - 21*z + 555. Let q be r(14). Solve -648*i = -q*i - 10 for i.
-2
Suppose 0 = 10*z - 3*z - 14. Let j be 22/(-4) + (-12)/8. Let m = -5 - j. Solve -z*s + 20 = m*s for s.
5
Let y(d) = -d**2 + 8*d. Let c be y(5). Suppose 0 = 176*r - 22*r - 6930. Solve c = 6*n + r for n.
-5
Let v(c) be the second derivative of -2*c**3 - 81*c**2/2 - 206*c. Let t be v(-7). Solve 0*h + t = -3*h for h.
-1
Let y be (-150)/(-2625) + 5139/105. Solve -17 = 8*b - y for b.
4
Let g be 1*(8 + -6 + -2). Suppose g = -6*b - 1 + 73. Solve 8*o + b = 5*o for o.
-4
Let g(t) = t**3 + 9*t**2 + 4*t - 11. Let i be g(-8). Suppose -i*z - 12 = -25*z. Suppose -h + 0*x + 8 = 3*x, 2*h + z*x = 10. Solve 4*b - 2*b + h = 0 for b.
-1
Let s = 10133 + -10122. Solve -10*m + s = -39 for m.
5
Let j = -3180 + 3180. Solve j = 121*z - 130*z - 27 for z.
-3
Suppose -3*b - 3*t = -36, -t - 27 = -3*b - 3. Suppose b = m - 54. Let v be (m/(-14) - -5) + (-14)/(-4). Solve v*z - 2 - 10 = 0 for z.
3
Let r be 4 + 5 + -6 - 1. Suppose r*d = 7*d + 4*d. Solve -h = -2 - d for h.
2
Suppose -3*i + y + 341 = 8, -4*y + 521 = 5*i. Solve -18*b + i = -17 for b.
7
Let p(f) = -2*f + 26*f**2 - 1 - 22*f**2 + 2*f. Let g be p(-1). Suppose 3*c - 9 = 5*z, -z - g*z = 4*c - 12. Solve -3*r - r + 12 = z for r.
3
Suppose 22*o = -21*o + 32*o + 627. Solve 68*d = o*d - 88 for d.
-8
Let p(b) = b**2 - 21*b - 508. Let y be p(36). Solve -14*w + 10 = -y for w.
3
Suppose -5*c - 25 = -y, 3*y + c = -3*c - 20. Suppose y = -12*u + 10*u + 16. Let q be ((-4)/6)/((-3)/(180/u)). Solve q*o = 2*o + 9 for o.
3
Let d be -2*(-2)/(-6) + 94/141. Suppose d = 6*h + 359 - 365. Solve 3 = -o + h for o.
-2
Let w(r) = -4 + 3 + r**3 + 4 - 9*r**2 + 4. Let s be (-9)/((-4 - 0)/4). Let v be w(s). Solve 9*o = v*o for o.
0
Let g be (-23)/(-3) - (-2)/(-3). Let o(y) = -y**3 - 8*y**2 + 1. Let t be o(-8). Let x be (-22 + 21)*(-13)/t. Solve g = 5*c - x for c.
4
Let q(u) = u**2 + 41*u + 24. Let z be q(-43). Suppose 4*t - 81 = i, -13*t + z = -8*t - 3*i. Solve 0 = -x + 17 - t for x.
-2
Let p = -24435 - -24439. Suppose m - 4 = u, m = -5*u - 2 + 6. Suppose -2*z + 28 = -4. Solve -p*i + m = -z for i.
5
Let y = 9332 - 9271. Solve -10*s + 102 = -y*s for s.
-2
Let r(w) be the third derivative of w**6/60 + 13*w**5/60 + w**4/12 + 2*w**3/3 + 6*w**2 + 3. Let k be r(-6). Solve 0 = -k*n + 27*n - 3 for n.
-3
Suppose -36*i - 342 = -414. Let k(l) be the first derivative of l**4 + l**3/3 - l**2/2 - 5. Let o be k(1). Solve i*v - 8 = o*v for v.
-4
Suppose 3*o - 5*h = 25, 0*o + 20 = -5*o - 4*h. Suppose o = 90*q - 96*q + 12. Solve -5*z - q = 13 for z.
-3
Let r(c) = 11*c**2 + 281*c - 33. Let o be r(-28). Solve o - 720 = -a for a.
-3
Let u(z) = -10*z - 11. Let r(f) = 13*f + 10. Let d(y) = -4*r(y) - 5*u(y). Let a be 1 + -2 - (-14)/2. Let i be d(a). Solve -2*t - i*t - 10 = 0 for t.
-2
Suppose 38 = z - 45. Let x = z - 103. Let v be -4*(-2)/x*-15. Solve -3*f + v = -f for f.
3
Let h be 58050/35 - 9/(-14)*(-2)/(-3). Solve 1654*q = h*q - 40 for q.
8
Let v = 353 - 350. Let a(o) = o. Let x be a(2). Suppose 3*c + 7 = v*t - x, -t + 2*c + 4 = 0. Solve 3*l - t*l = 4 for l.
4
Let i(l) = -l - 5. Let h = -30 - -20. Let c be i(h). Suppose -5*o + 5 + c = 0. Solve -4*w + o = 14 for w.
-3
Let q(m) = -6*m - 21. Let r be q(-6). Suppose -20 = -25*y + r*y. Solve 0 = y*x + 2*x - 4 for x.
1
Suppose 152*g = -141*g + 131850. Solve 0 = g*h - 459*h + 18 for h.
2
Let o be ((-3)/5)/3 - 64/(-20). Suppose -5*s = 5*r - 75, s = 4*r - o*s - 44. Suppose -r*v + 17*v = 4. Solve 3*l + 2 = -v for l.
-1
Let r(y) = -2*y**2 + 11*y + 20. Let v be r(0). Solve -v*l = -15*l + 25 for l.
-5
Let b be (-34 - -14)*26/(-20). Solve 11*a + b = -62 for a.
-8
Let b be (-9)/21 - (-51760)/560. Solve -b*n = -96*n + 32 for n.
8
Let d(a) = 5*a + 92. Let g be d(-7). Suppose -12 = -2*y - 5*j, 72 - g = 5*y + 5*j. Solve -t = 4 + y for t.
-5
Let b(x) = -2*x**2 + 62*x + 28. Let q be b(30). Let j be q/484 - (-392)/22. Solve 6*c + 0*c + j = 0 for c.
-3
Let w be (-9)/(-63) - 90/42 - -3. Let j be ((-1)/(-3))/((-1)/(-15)). Suppose -j = -2*b - 0*b - d, -16 = -b + 4*d. Solve i + b = w for i.
-3
Let s be (140/10)/(2/24). Suppose -s = 6*v - 0*v. Let l = v - -32. Solve 14 = l*b - 2 for b.
4
Let b be (-45)/6*8*18/60. Let l(m) = -m + 6. Let c be l(6). Let r = c - b. Solve 5*o = -r - 2 for o.
-4
Suppose v = 2*j - 37, -5*v - 70 = -349*j + 344*j. Solve -184 + j = 23*g for g.
-7
Let o(v) = -123*v - 4541. Let l be o(-37). Solve 93*n - 91*n = l for n.
5
Suppose -900 = -7*g + 906. Solve -2*r + g = 266 for r.
-4
Suppose 100 = -26*a + 46*a. Suppose 3*t - 85 = a*z, t + 0*t - 3*z = 35. Solve -t = -k + 6*k for k.
-4
Let z = -5252 + 5267. Solve -z*m - 30 = 15 for m.
-3
Let x be (-1)/(1*4/(0 - 164)). Let f = 46 - x. Suppose w + g + 0 = f, -4*w + 5*g + 2 = 0. Solve 12 = -w*k - k for k.
-3
Let n be 5/8*-6*-4. Suppose -4*u - 3 = -n. Suppose 9 + 12 = u*j. Solve 2 - j = 5*t for t.
-1
Let u = -276 - -278. Suppose 7*s - u*s + 4*r - 17 = 0, 2*s + 5*r = 0. Solve 6*h - 9*h = -s*h for h.
0
Let g(s) = -s**3 + 12*s**2 + 28*s + 4. Let w(q) = q**3 - q + 14. Let t be w(0). Let d be g(t). Solve d = 5*u + 24 for u.
-4
Let d be (4 - 6)/(2/53). Let t be (-25 + -2)*4/2. Let g = d - t. Solve -g + 0 = c for c.
-1
Let v(w) = w**2 - 95*w + 2257. Let j be v(46). Solve j*q = -10*q for q.
0
Suppose 934 = 104*c + 550 - 3048. Solve 34 = -c*k - 98 for k.
-4
Let s be (2/1)/(-1 + 2). Let w be (16/(-5))/((-10)/25). Let i be (-8)/(-18) + (-42)/(-27). Solve -i*f = s*f - w for f.
2
Suppose -22*u = -11*u - 385. Suppose q - 11 = -r - 0*r, 4*r = -q + u. Solve 3*n = -n + r for n.
2
Let a be (166/(-4))/((90/12)/(-15)). Let n = 85 - a. Solve 0 = -5*h + 3 + n for h.
1
Let m(c) = c**2 - 13*c - 7. Let l be (-4)/3*36/24. Let y be m(l). Solve 8 - y = -5*g for g.
3
Let s(r) = 2*r**2 - 107*r - 1206. Let l be s(-10). Solve 24*q + l = -8 for q.
-3
Let f be -5*6*(-2)/4*1 - 0. Solve 90*l = 75*l - f for l.
-1
Let l(f) = -41*f - 375. Let v be l(-11). Solve -11*n + v = 21 for n.
5
Suppose 49*w - 106 - 869 = -142. Solve -w*p + 16*p = 0 for p.
0
Let c be 2/(3/((-45)/(-10))). Suppose -3*i + 2*m - 6 = 0, m - 6 = -c*i - m. Suppose -2*b - 6 = i, 0*b + 4*b - 13 = -5*g. Solve 14 = -g*d - 6 for d.
-4
Suppose -1004*f + 1029*f = 5000. Solve 15*g + 10*g = -f for g.
-8
Let i(a) = 16*a - 13. Let o be i(6). Let k = o + -15. Let f = 71 - k. Solve -l - f = -4 for l.
1
Suppose 69*w - 340 = 73*w. Let g be (-697)/w + (-1)/5. Solve -g + 24 = 8*j for j.
2
Suppose 15*q = -61 + 16. Let l(r) = 3*r + 16. Let m be l(q). Solve -m*c + 2*c + 25 = 0 for c.
5
Let g(o) = -o**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
pose w + 42 = d*h, -4*h + 101 + 11 = 5*w. Calculate the remainder when h is divided by 12.
11
What is the remainder when (-63)/(-2) - (-2)/4 is divided by 17?
15
Suppose 3*z - 2*w - 54 = 5*z, -2*w = -5*z - 107. Let c = z + 34. What is the remainder when 21 is divided by c?
10
Let m(j) = -j**2 - 12*j - 5. What is the remainder when m(-8) is divided by 3?
0
Let g(u) = u**3 + 9*u**2 - 9*u + 11. Let h be g(-10). Let v = 6 - h. What is the remainder when v is divided by 2?
1
Let j = 9 - 14. Let s = -1 - j. What is the remainder when s is divided by 3?
1
Suppose 2*s + 4 = -0*s. Let y = s + 6. Let a(g) = -7*g**3 + 2*g + 1. What is the remainder when a(-1) is divided by y?
2
Let p(c) = c**2 - 4*c + 4. Let r be p(7). Suppose w = -3*s + r, w - 6*s - 1 = -3*s. What is the remainder when w is divided by 7?
6
Suppose -2*m + 12 = -46. Calculate the remainder when 115 is divided by m.
28
Suppose -5*b - 3*s + 210 + 8 = 0, 0 = 4*s - 4. Suppose -w + 5*d = w - b, 4*d + 99 = 5*w. Calculate the remainder when 1 - (-55 + -1 + 2) is divided by w.
17
Suppose 191 = 5*k + 3*v + 37, -4*k + 113 = -v. What is the remainder when k is divided by 18?
11
Let j(b) = b**3 + 6*b**2 - 7*b + 7. Let a(h) = -h + 7. Calculate the remainder when j(-7) is divided by a(5).
1
Suppose 0*n - 4*n = -4*v + 248, -2*v + 128 = -3*n. What is the remainder when v is divided by 12 - (-4 + 3)*(0 - 2)?
8
Let l(p) = p**2 - 10*p - 11. Let k be l(8). Let n = k + 44. Suppose -128 = -3*z - z. Calculate the remainder when z is divided by n.
15
Let n(t) = -t**3 - 5*t**2 + 3*t + 5. Let q be n(-5). Let o = 23 + q. Calculate the remainder when 51 is divided by o.
12
Suppose b = 3*z - z - 1, 5 = 5*z. Let g = -7 + 4. What is the remainder when (-3 + b - g)/1 is divided by 1?
0
Let o = 6 - 4. What is the remainder when 4 is divided by o?
0
Suppose p + 76 = 3*p. Let h(w) = w**3 - 6*w**2 - 7*w + 13. Calculate the remainder when p is divided by h(7).
12
Let h = 8 + -5. Suppose 0 = -2*z + 2, h*p = p + 4*z + 14. Calculate the remainder when 26 is divided by p.
8
Suppose -a = -r - 0*a + 7, -r = 3*a + 13. Let h = 5 - r. Suppose -5 = -h*b + 49. What is the remainder when b is divided by 10?
8
Suppose -4*n = -7*n + 702. Calculate the remainder when 17 is divided by (-2)/(-8) - n/(-24).
7
Suppose 58 + 42 = 5*a. Suppose 2*j + 4*n - a = -0*j, 3*n - 17 = -2*j. Suppose -4*v + 20 = -j. Calculate the remainder when 11 is divided by v.
5
Suppose -4*x - 26 = -2*q, 2*q - 3*x - 23 = -0*q. Suppose 6*r - 7*r = -18. What is the remainder when r is divided by q?
4
Suppose -p = 4, 3*p + 80 = 5*v + 23. What is the remainder when 15 is divided by v?
6
Let q(r) = r**3 + 6*r**2 - 4*r - 8. What is the remainder when 29 is divided by q(-6)?
13
Suppose 6*v + 75 = 2*i + v, -3*i = -5*v - 120. What is the remainder when i is divided by 68/3 + 1/3?
22
Suppose -3*m - m = -304. Calculate the remainder when m is divided by 39.
37
Calculate the remainder when ((-2)/5)/(4/(-480)) is divided by 17.
14
Suppose -224 + 68 = -13*s. Suppose -136 = -0*q - 4*q. What is the remainder when q is divided by s?
10
Let r = -5 - -26. Calculate the remainder when 59 is divided by r.
17
Suppose -5*j = -2*v + 1, -v = -4*j + 1 - 0. Suppose -v*g + 4 = -11. Suppose 0 = g*c + 4 - 49. What is the remainder when 25 is divided by c?
7
Let x(b) = b + 9. Let n be x(-8). What is the remainder when 3 + -1 + (n - -38) is divided by 14?
13
Let a be (-48)/(-30)*10/4. Suppose 2*t + 46 = a*t. What is the remainder when t is divided by 12?
11
Suppose -6*o + 2*h - 2 = -2*o, -4*h = -3*o - 14. Suppose 2*t - 30 = 4*g, 23 = t - 4*g - o. What is the remainder when 9 is divided by t?
4
Suppose -3*n + 12 = -2*t + 2*n, 4*t + 3*n - 28 = 0. Calculate the remainder when 14 is divided by t.
2
Let q be -6*2/(-4) - 1. Let g be -3 + q + 56/2. Let r = 47 - g. What is the remainder when 58 is divided by r?
18
Suppose -3*r - 5 = -c, 3 + 9 = 4*c - 4*r. Suppose 3*n = -n - 2*l, -20 = -c*n + 4*l. What is the remainder when 4 is divided by (-1 + 2)/(n/4)?
0
Suppose 10*x - 5*x - 185 = 0. Let y(i) = i**3 - 5*i**2 + 8. Calculate the remainder when x is divided by y(5).
5
Let m(h) = 2*h**2 - 3*h - 7. Let z be m(-3). Suppose -5*i + z = t, -19 = -5*t + 3*i - i. Calculate the remainder when 13 is divided by t.
3
Suppose 5 = t - 3*n, -2*n + 5 = t - 10. Let h = t + -2. Calculate the remainder when h is divided by 5.
4
Let j(k) be the second derivative of -k**3/6 + k**2/2 + k. Let x(h) = h + 1. Let b(w) = -j(w) - 3*x(w). What is the remainder when 40 is divided by b(-9)?
12
Let n(g) = -g**2 - 15*g - 17. Calculate the remainder when 69 is divided by n(-12).
12
Suppose 5*l - 2*l + 24 = 0. Let z = l + 13. Calculate the remainder when 14 is divided by z.
4
Let s(v) = -3*v + 5. Calculate the remainder when s(-6) is divided by (-3 + 63/6)*16/20.
5
Let p = 42 + -30. Suppose 4*i - p = 2*i. Suppose -3*s - 9 = -57. Calculate the remainder when s is divided by i.
4
What is the remainder when 40 is divided by (0 - 1)/((-11)/154)?
12
Suppose -18 - 4 = -2*a. Let w be (0 - -1)/(1/6). Let c = 0 + w. What is the remainder when a is divided by c?
5
Suppose -2*c = -0 - 44. What is the remainder when 64 is divided by c?
20
Suppose q - y - y - 6 = 0, -9 = -3*q + 3*y. Suppose 0 = -q*i - 4*i - 32. Let k = i - -42. Calculate the remainder when k is divided by 18.
16
Suppose 4*u = 5*r - 44, -4*r + 19 = u - 33. Calculate the remainder when 34 is divided by r.
10
What is the remainder when 141 is divided by (-7)/(-14) + (-142)/(-4)?
33
Suppose 3*y - n + 5 = 0, y + 5*n = -3*y - 13. Let g(c) = -5*c - 4. Calculate the remainder when (-3 + y)*(-5 - 1) is divided by g(-4).
14
Let x(w) = w + 5. Let m be x(-3). Suppose h + m = 5. What is the remainder when 7 is divided by h?
1
Let c be ((-30)/(-50))/((-2)/(-190)). Suppose -5*o + 2*o = -c. Calculate the remainder when o is divided by 7.
5
Suppose -6*i + i = 3*b - 22, -4*i - 2*b + 18 = 0. Suppose 3*v = -i + 110. Calculate the remainder when v is divided by 19.
16
Suppose -3*z + 2*z + 4*r = -18, z - 24 = 2*r. What is the remainder when 87 is divided by z?
27
Suppose 5*f - 37 = 3*c - 7*c, c = -2*f + 10. What is the remainder when 21 is divided by c?
5
Suppose -o = -9 + 1. Calculate the remainder when (3 + o - -2) + 1 is divided by 4.
2
Calculate the remainder when (10/(-20))/((-2)/212) is divided by 18.
17
Suppose -x + 5*g + 18 + 3 = 0, -2*x + g = -24. Let h(l) = -15*l + 1. Calculate the remainder when h(-2) is divided by x.
9
Let b be (-12)/(-5) + 4/(-10). Suppose 5*a = 15, d - b*a - 47 = -0*a. Calculate the remainder when d is divided by 27.
26
Suppose 5*n - 351 = -4*n. What is the remainder when n is divided by 10?
9
Let k(g) = -g - 5. Let s be k(-7). Suppose -s*t - 50 = -7*t. Calculate the remainder when 29 is divided by t/(-4)*(-3 - 1).
9
Suppose 3*f - 6*g = -g + 89, 0 = -4*f + 4*g + 116. What is the remainder when f is divided by 10?
8
Suppose -4*c = -4*z - 3*c + 377, -3*z = 4*c - 278. Suppose 0 = 5*m + 14 - z. Calculate the remainder when 62 is divided by m.
14
Let b(f) = -3*f - 9. What is the remainder when ((-4)/(-12))/(4/564) is divided by b(-7)?
11
Let i = 33 - 19. Let q = 48 - 48. Suppose q*s + i = s. What is the remainder when s is divided by 5?
4
Let l be (4/(-6))/(8/(-24)). Suppose -y = -3*w + 194, 5*w - l*y - 330 = 3*y. What is the remainder when w is divided by 22?
20
Suppose -4 = -x + 3. What is the remainder when 25 is divided by x?
4
Let o(p) = p**3 - p**2 - p + 23. Suppose 0 = 3*n - 16 + 1. Suppose -b - 1 = 5*z, n - 3 = -3*z - 2*b. Calculate the remainder when o(z) is divided by 12.
11
Let q be ((-8)/(-12))/(4/18). Let i(b) = 4*b - 4. What is the remainder when 13 is divided by i(q)?
5
Let d = 140 - 137. Calculate the remainder when 33*-1*(-1)/3 is divided by d.
2
Suppose -x - 12 = 3. Let u = 51 + x. Calculate the remainder when u is divided by 13.
10
Calculate the remainder when ((-13)/(-3))/((-2)/(-6)) is divided by 7.
6
Let t be (10/(-3))/(1/9). Let z = t + 56. What is the remainder when z is divided by 9?
8
Suppose k - 4 = -0. Suppose -k*y - 2*u = -30, -5*y - u = -y - 25. Let d(f) = 2*f**2 - 4*f + 2. Calculate the remainder when y is divided by d(2).
1
Let a(i) be the third derivative of -i**4/8 - i**3/2 - i**2. What is the remainder when 45 is divided by a(-5)?
9
Suppose -2*a
|
{
"pile_set_name": "DM Mathematics"
}
|
for v.
3
Solve -x + 2*b = -15, 12*x + 20 = 2132*b - 2133*b for x.
-1
Solve -8*f - 20 = -z, 4*z = f + 187 - 169 for z.
4
Solve n - 8 + 11 = 4*r, 4*n = -4*r - 12 for n.
-3
Solve 5*x = -u + 41, 2*x - 24*u + 29*u = -2 for x.
9
Solve w - 45 = -3*u - 62, 8*u = -2*w - 44 for u.
-5
Solve l + 2*f = -9, -17*l - 2*f + 1021 = 1078 for l.
-3
Solve 1428*p = 1427*p + g - 10, 2*g - 5 = -p for p.
-5
Solve -122*l - 30 = -125*l - 2*q, l = -5*q + 75 for l.
0
Solve -39 = -5*t - 218*k + 214*k, t = k + 6 for t.
7
Solve 18*v - 33 = 51*r - 54*r, 2*r - 3*v + 8 = 0 for r.
-1
Solve -u - j + 1 = 0, 5*u + 124*j - 9 = 121*j for u.
3
Solve 4*w = 40*x - 168, -14*w + 18 = -17*w + 3*x for w.
-2
Solve -3*t + 8 = -t, -7*t = 2*q - 28 for q.
0
Solve -4*u - 7 = -h, -8*h + 21 = -5*u - 5*h for u.
0
Solve -5*f - 39 = -3*d, -2521*d - 9*f = -2525*d + 73 for d.
-2
Solve 0 = 2*a, -n + 4*a = 2*n - 5*n + 4*n + 2*a for n.
0
Solve 32 = 4*g + 2*j - 12 + 18, 0 = 4*j + 12 for g.
8
Solve 50 = 4*h - 5*y, 0 = -319*y + 328*y - 18 for h.
15
Solve 692 - 1368 = -h + 4*n - 697, h + 4*n - 19 = 0 for h.
-1
Solve 2106*p + 4*r - 38 = 2101*p, -7*p - 5*r + 49 = 0 for p.
2
Solve -c + 5 = -3*x, 0 = -7*x + 12*x for c.
5
Solve 12 = -4*x + 4*s, -3*s - 11 + 29 = 5*x + 9 for x.
0
Solve 0 = -v + 3*c + 96 - 71, c = 2*v for v.
-5
Solve -4*h = 2*d + 40, 11*h + 4782*d - 4784*d + 125 = 0 for h.
-11
Solve 5*g - i = -9, -12631*g = -12635*g + i - 7 for g.
-2
Solve -2*c + 18 = -5*l, 19*c + 6*l - 4 = 15*c for c.
4
Solve -t = -k + 9, 803*k = 800*k + 42 for t.
5
Solve -g - 2*q = 0, -2*g - 9*g = -2*g + 4*q for g.
0
Solve q - 8*u = -13, 25*u - 29*u + 9 = -q for q.
-5
Solve -4*n - 5 = 31*k - 34*k, 7*k + 3*n = 24 for k.
3
Solve 0 = -4*u + 6*u - 4*l + 40, -5*l + 50 = 11*u for u.
0
Solve -w = 4*b + 16, 30*w = b + 32*w + 11 for b.
-3
Solve 2*h = 7*n + 89 - 94, 29 = -5*h + n for h.
-6
Solve -3*b - 33*g = -35*g + 7, 3*b = -3*g + 18 for b.
1
Solve -6*v = -l + 7, 3*v + 2*l = 45 - 46 for v.
-1
Solve 458 = 4*m - 3*i + 472, 0 = -3*m - i + 22 for m.
4
Solve a + 0 = -5*d + 2, 190 = -24*a - d for a.
-8
Solve 0 = -3*j + 5*s - 76, -2*j - 843 = 3*s - 881 for j.
-2
Solve -2*o = 2*t - 1313 + 1305, -o + 4*t = 11 for o.
1
Solve 4*a + 9 = -s, -s = -26*a + 23*a + 2 for s.
-5
Solve 6*c - 64 = -2*v, 5*c - 23 = 22 for v.
5
Solve 3*r + 4 = k, 23*k + 5*r = 26*k + 8 for k.
-11
Solve 4*a - 12 = 57*j - 54*j, 20 = -5*j for a.
0
Solve 4*b + 20 = 4*o, 2*b = -5*o + 133 - 108 for b.
0
Solve 0 = t - 2*q + 5, -t + 149 = -3*q + 157 for t.
1
Solve 0 = d + 2*b - 7, 808*b = 3*d + 806*b + 19 for d.
-3
Solve -50*r - c - 7 = -99*r + 48*r, 4*c = 3*r - 26 for r.
2
Solve -5*o = -3*g + 81 + 62, -53 = 3*g + 2*o for g.
1
Solve -4*o = 340*p - 344*p - 24, 3*o = 4*p + 21 for o.
3
Solve -11*g + 7*g + 34 = 9*f, -2*g = -4*f for f.
2
Solve c = -3*o + 10, c + 2*o - 104 = -98 for c.
-2
Solve 34 = 2*c + 3*y + 9, -11*y + 50 = 7*c - 8*y for c.
5
Solve 2*n + 20 = -5*k + 11, -6*n = 4*k - 28 for k.
-5
Solve 4*q + 5*s = -15, 0 = q + 181*s - 183*s - 6 for q.
0
Solve -197*n + 200*n + 51 = -5*a, 36 = -4*a - 2*n for a.
-3
Solve 3*g - p + 1 = 0, -9 = -3*g - 38*p + 41*p for g.
-2
Solve 5*p - 2*g - 24235 = -24204, 5*p - 5*g = 40 for p.
5
Solve -5*m = -10*x - 5 + 35, -4*x = -3*m - 14 for m.
-2
Solve -4*c + 3*u + 1 = 0, -5*c = -5*u + 56 - 51 for c.
4
Solve -18*w = -16*w + 8, -4*w - 11 = l for l.
5
Solve 6*i + 10 = 4*f, 10*f + 14 = -8*i + 15*f for i.
-3
Solve -5*a = 25, -c - 15 + 26 = -2*a for c.
1
Solve 5 = 16249*j - 16245*j - l, -l + 3 = 0 for j.
2
Solve -20 = 5*k, -44*k + 45*k + 24 = -4*y for y.
-5
Solve 0 = 5*b - 2*h - 6, -2*b + 6*b + h - 10 = 0 for b.
2
Solve -7*i + 7*r + 4 = -8*i, -3*i = 4*r + 12 for i.
-4
Solve -34 = 41945*c - 41947*c + 3*f, 0 = -3*c - 3*f - 39 for c.
-1
Solve 2*v + 5*h = 65191 - 65164, 5*v + 4*h - 25 = 0 for v.
1
Solve 4*l = -4*i - 818 + 846, i = 3*l - 13 for i.
2
Solve 2*y - 70*r = -72*r - 10, -12 = 4*r for y.
-2
Solve 0 = 7*y - 3*p + 27, 2*p + 0*p - 16 = -22*y + 26*y for y.
-3
Solve -5*w - 7*x + 201 = 0, -30 = 137*w - 139*w - x for w.
1
Solve 3*r + 26 = -5*p, -r - 9*p = -10*p - 2 for r.
-2
Solve -1091*z + 77 = -1088*z + 4*a, 4*z - 2*a = -44 for z.
-1
Solve 2*m = 11*n - 92, -1444*n = -1449*n - 4*m + 32 for n.
8
Solve 0 = y - 2*i + 11, 2*y - 5*i - 5 = -20 - 12 for y.
-1
Solve -3*r + 6*r - 8 - 4 = 0, -r + 2 = -f for f.
2
Solve 2*s + 23 = -47*b + 52*b, -2*s = 15*b - 37 for s.
-4
Solve 2*d - 7 = 6*c - 11*c, 0 = 5*d - 2*c + 26 for d.
-4
Solve -19*z + 4*g = -22*z + 16, 5*g = 3*z + 20 for z.
0
Solve 5*z - 6099 = -4*n - 6087, -5*n + 8*z = 42 for n.
-2
Solve -4*u + 28 = -3*w, -u + 5*w + 7 = -17 for u.
4
Solve 11*z = -5*l - 0*l - 51, -2*z - 6 = 2*l for z.
-6
Solve 1 = -i + 2*v, 5*v = -i + 245 - 260 for i.
-5
Solve 7*d - 49 = -38*f + 34*f, -7*f - d + 52 = 0 for f.
7
Solve 5*o + 44 = 4, -3*k = -o + 1 for k.
-3
Solve -5*d - 2 = 2*a, 0 = -4*d - 4281*a + 4288*a - 36 for d.
-2
Solve 0 = -5*g + 10, 19*u = 22*u - 4*g + 23 for u.
-5
Solve 0 = -5*n + 4*c + 24, 347*c + 22 = 4*n + 341*c for n.
4
Solve -15*v = -5*i - 39 - 16, -2*i - 398 = -388 for v.
2
Solve 2*n + 14 = -2*f, -4*f + 123 = n + 121 for f.
3
Solve -4*l + 3*c = 16, 4 = 84*l - 85*l - 4*c for l.
-4
Solve -65*m + 66*m - 17 = -5*g, 4*m - 3*g = 22 for m.
7
Solve -13 = t - 5*r, 68 - 45 = 4*t + 5*r for t.
2
Solve 3*a + 12 = 15*t, -a - 61 = 4*t - 48 for t.
-1
Solve 5*h = 3*f + 28, -81*h + 85*h - 2*f - 18 = 0 for h.
-1
Solve 5867 - 5853 = 4*j + 2*q, 4*q + 24 = 5*j for j.
4
Solve 613*y + 4*z = 618*y + 9, -3*y - 6 = -3*z for y.
-1
Solve 4*h = -5*l + 24, -1462*l + 1466*l = 3*h - 18 for l.
0
Solve 0 = 12*t - 8*t - 3*o + 72, 3*t + 57 = 3*o for t.
-15
Solve 0 = -4*o + 5*c - 15, -2*c + 1438 = -5*o + 1415 for o.
-5
Solve 5*z + 2*f = -1, -4*z - 79 + 86 = -f for z.
1
Solve -5 = -n + 2*x, -15944*n = -15946*n - x + 10 for n.
5
Solve -2*x + 4*f - 62 = 16*x, -3*x + f - 8 = 0 for x.
-5
Solve -l - 9 = -5*j, 6*l + 20 = l for j.
1
Solve -2*h = -3*c + 23, 2*c + 1090*h = 1088*h + 2 for c.
5
Solve -5*u - 2*q - 109 = -94, -5*u = 5*q for u.
-5
Solve -4*u - 3*m = 30, 106 = 12*u - 8373*m + 8368*m for u.
3
Solve 5*d + 19 = 3*f, 3*f - 4*d - 29 = -12 for f.
3
Solve 4*w + 5*g = -71 + 16, 2*g + 39 = -5*w for w.
-5
Solve 17902*v - 2 = 17903*v + 2*s, 5*s + 10 = 0 for v.
2
Solve -5*g = -42*d + 39*d - 3, 11*g - 7 = 2*d + 6*g for d.
4
Solve -5*f = 3*t - 25, 3*f - 2 = 7*f - 2*t for f.
2
Solve -5*l - 15 = -18*b + 23*b, 3*b + 4*l + 8 = 0 for b.
-4
Solve -3*l = -h + 4861 - 4859, 0 = 3*h - 2*l + 8 for h.
-4
Solve 6*f + 2*o = -14, -2*f + 817*o = 820*o + 14 for f.
-1
Solve 5*u - 4*q = -5, -71*u + 2*q + 5 = -70*u for u.
-5
Solve 3*i + 5*l = 17, 4*i + 5*l - l - 20 = 0 for i.
4
Solve 5*a - 23 = j, -a + 1817 = 5*j + 1802 for j.
2
Solve 3*t + 14 + 10 = -3*h, -6*h - 4*t - 58 = 0 for h.
-13
Solve 0 = -r - 3*n - 20, 223*n - 225*n = 2*r + 40 for r.
-20
Solve 3*z = 2*p - 5, 11*p - 15*z = -17*z + 9 for p.
1
Solve 2*c = -9*k - 298 + 228, -4*k - 3*c - 29 = 0 for k.
-8
Solve 0 = 2*r - k - k, 3 + 9 = 4*k for r.
3
Solve 74 = -4*j + 2*x + 84, 3 = 3*x for j.
3
Solve 2*j = -8*x - 40, -47*j = -46*j for x.
-5
Solve 5*y = 5*l + 10, -8*y + 3 = -12*l + 17*l for y.
1
Solve 2*f - 25 = 32*w - 41*w, 0 = 4*f + 4*w - 8 for f.
-1
Solve 59 = -9*r + 5*j, -257*r - 11 = -255*r + j for r.
-6
Solve -569*v + 3 = -568*v, 3*c + 7*v - 12 = 0 for c.
-3
Solve 4*m = -19*g + 24*g + 43, -2*g = -4*m + 22 for m.
2
Solve -5*w + 2*p - 3 = 0, 856*p + 3 = -w + 857*p for w.
1
Solve 4*y - 1216610*o + 16 = -1216605*o, 0 = -7*y - 3*o - 28 for y.
-4
Solve -3*f = -8*f + 2*a + 8, 5*a - 5 = 0 for f.
2
Solve -3*x - 10 = 2*x, -34*g = 5*x - 1265 + 1411 for g.
-4
Solve z + w + 4 = 0, -237*z = -232*z + w + 28 for z.
-6
Solve -2*i - 15 = -t - 24, 5*t = i for i.
5
Solve -2*l = 236106*b - 236111*b + 19, -l + 4 = 2*b for l.
-2
Solve 5*d = -7*b + 8*b - 33, 3*b - 5*d = 29 for b.
-2
Solve l + 284*r = 288*r + 15, 5*l = -4*r - 45 for l.
-5
Solve 0 = -b + 3*b + 1777 - 1759, 80 = -7*h - 5*b for h.
-5
Solve 0 = -43*c + 48*c - 4*h + 20, 20 = -3*c + 4*h for c.
0
Solve y + t + 56 = 59, t = 5*y - 15 for y.
3
Solve -100*s + 104*s - 2 = -2*j, 2*s = 6 for j.
-5
Solve -w - 20 = 2*q, 420*w - 414*w - 5*q = -86 for w.
-16
Solve -5*o + 8*u = 156, -68 = 3*o + 5*u - 141 for o.
-4
Solve -4*b + 28 = -c - 33 + 54, 7 = -4*b + 15*c for b.
2
Solve 4 = -2*v + 4*u, -5*u + 589 = 4*v + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
18/1001
Two letters picked without replacement from {x: 2, p: 1}. Give prob of picking 1 p and 1 x.
2/3
Four letters picked without replacement from {n: 2, v: 5, q: 1, o: 1, b: 2, y: 2}. Give prob of picking 1 v, 1 y, and 2 b.
2/143
Two letters picked without replacement from {e: 7, n: 7}. Give prob of picking 2 e.
3/13
What is prob of picking 1 g, 1 b, and 1 r when three letters picked without replacement from rmqnnqgrgbqbgb?
9/182
What is prob of picking 1 y, 1 a, and 2 d when four letters picked without replacement from dbpjadypy?
1/63
Two letters picked without replacement from {z: 1, l: 2, v: 2, f: 1, h: 14}. What is prob of picking 2 v?
1/190
Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {n: 2, b: 1, q: 4}.
2/21
What is prob of picking 2 z and 2 l when four letters picked without replacement from {l: 4, z: 16}?
48/323
Two letters picked without replacement from {w: 7, f: 6, u: 1, l: 1, o: 2}. What is prob of picking 1 u and 1 l?
1/136
Two letters picked without replacement from {q: 2, j: 1, y: 1, l: 6, k: 1, b: 5}. Give prob of picking 2 l.
1/8
Four letters picked without replacement from {o: 3, a: 9}. Give prob of picking 1 a and 3 o.
1/55
Three letters picked without replacement from qvqvzvqzqkkjqvqz. Give prob of picking 2 v and 1 q.
9/140
Calculate prob of picking 1 t and 1 p when two letters picked without replacement from tppttppppp.
7/15
Calculate prob of picking 2 h and 2 j when four letters picked without replacement from jhgghhgghgjjhgj.
4/91
Three letters picked without replacement from {g: 2, r: 3, t: 1, v: 4, m: 4}. What is prob of picking 1 g and 2 r?
3/182
Three letters picked without replacement from {h: 8, k: 5, s: 2, r: 4}. What is prob of picking 3 r?
4/969
Calculate prob of picking 3 m when three letters picked without replacement from {b: 1, m: 9, g: 4, a: 3, u: 1}.
7/68
Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {o: 4, q: 4, r: 1, m: 2, e: 4, d: 5}.
2/95
Three letters picked without replacement from {h: 5, b: 2, i: 3}. What is prob of picking 2 h and 1 b?
1/6
Calculate prob of picking 2 v when two letters picked without replacement from mvmvmmvm.
3/28
What is prob of picking 2 f when two letters picked without replacement from {c: 1, x: 4, f: 8}?
14/39
What is prob of picking 4 e when four letters picked without replacement from lelteleeels?
1/66
Four letters picked without replacement from appapppapppppapa. What is prob of picking 4 a?
1/364
Three letters picked without replacement from qqtxtxtqqxqxx. Give prob of picking 1 x and 2 t.
15/286
Four letters picked without replacement from xuxxxuxuxxuux. Give prob of picking 4 u.
1/143
What is prob of picking 1 c and 2 r when three letters picked without replacement from cirrcccccxixxxxxcxri?
7/380
Four letters picked without replacement from {j: 4, h: 7}. Give prob of picking 3 j and 1 h.
14/165
Two letters picked without replacement from {n: 1, g: 4, a: 9, x: 1, s: 2}. Give prob of picking 1 x and 1 n.
1/136
What is prob of picking 1 j and 1 s when two letters picked without replacement from szszjzzbsjuzz?
1/13
Calculate prob of picking 1 b and 1 y when two letters picked without replacement from yybbbbbybbbbbbbbbb.
5/17
Four letters picked without replacement from {q: 6, c: 2}. Give prob of picking 4 q.
3/14
Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {h: 9, v: 3, a: 4}.
1/455
Two letters picked without replacement from inioomjoilojjii. What is prob of picking 1 n and 1 l?
1/105
Three letters picked without replacement from ryrrqryyrrqryqry. What is prob of picking 2 r and 1 y?
1/4
Two letters picked without replacement from {v: 1, z: 1, i: 2, e: 2, h: 1}. What is prob of picking 1 e and 1 h?
2/21
Calculate prob of picking 1 h and 2 y when three letters picked without replacement from hhhhhyyhyyk.
12/55
Four letters picked without replacement from uiuucuubbuuccuuu. Give prob of picking 3 c and 1 b.
1/910
What is prob of picking 1 w and 1 t when two letters picked without replacement from rntltwlwrwwwtwlwt?
7/34
Two letters picked without replacement from iiviivtti. Give prob of picking 1 t and 1 v.
1/9
Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {o: 7, s: 3}.
7/15
Two letters picked without replacement from cccc. What is prob of picking 2 c?
1
What is prob of picking 2 u when two letters picked without replacement from uuu?
1
Four letters picked without replacement from qbhbhzbbzbbbb. What is prob of picking 2 z, 1 q, and 1 h?
2/715
Three letters picked without replacement from {n: 2, r: 4, t: 2, u: 3, k: 3, e: 2}. Give prob of picking 3 u.
1/560
What is prob of picking 1 t and 1 h when two letters picked without replacement from aphtk?
1/10
What is prob of picking 1 z, 1 h, and 1 f when three letters picked without replacement from {j: 3, r: 5, f: 1, o: 5, h: 2, z: 4}?
2/285
Two letters picked without replacement from dyqqyrdydrvqyyqd. Give prob of picking 1 r and 1 v.
1/60
What is prob of picking 1 q and 2 h when three letters picked without replacement from {z: 1, q: 5, h: 5}?
10/33
Calculate prob of picking 2 w when two letters picked without replacement from {h: 4, f: 1, w: 6}.
3/11
Two letters picked without replacement from {p: 3, t: 2, m: 2, y: 2}. What is prob of picking 1 t and 1 y?
1/9
Four letters picked without replacement from dnnndd. What is prob of picking 3 n and 1 d?
1/5
What is prob of picking 2 d and 1 q when three letters picked without replacement from {q: 3, d: 4}?
18/35
What is prob of picking 1 u and 1 a when two letters picked without replacement from {u: 1, l: 6, i: 1, a: 1, s: 3, n: 5}?
1/136
Two letters picked without replacement from vvvvivvvxivvvx. Give prob of picking 2 v.
45/91
Three letters picked without replacement from {b: 2, f: 2, u: 2, g: 1, z: 1, r: 1}. What is prob of picking 1 g and 2 b?
1/84
Two letters picked without replacement from {f: 2, u: 5, t: 2}. Give prob of picking 1 f and 1 u.
5/18
Three letters picked without replacement from umuubuuymuummbu. What is prob of picking 1 u and 2 m?
48/455
Calculate prob of picking 2 s, 1 v, and 1 f when four letters picked without replacement from cvssfccvc.
1/63
Four letters picked without replacement from {j: 8, x: 2, i: 1, d: 4}. Give prob of picking 2 j and 2 d.
8/65
Three letters picked without replacement from {l: 3, c: 4}. Give prob of picking 2 c and 1 l.
18/35
Two letters picked without replacement from {w: 2, z: 1, g: 1, d: 1}. Give prob of picking 1 w and 1 d.
1/5
Calculate prob of picking 2 q and 2 v when four letters picked without replacement from qwwivvivqvvlqmqvww.
1/34
Two letters picked without replacement from ggybh. What is prob of picking 2 g?
1/10
Calculate prob of picking 1 g and 2 j when three letters picked without replacement from jpggjtttbdbt.
1/110
What is prob of picking 2 i and 2 r when four letters picked without replacement from {r: 3, i: 6, n: 8}?
9/476
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from ffllflffllbfllflflf.
1/19
Calculate prob of picking 3 q when three letters picked without replacement from qqqqqq.
1
Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {e: 7, m: 5, f: 5, a: 1}.
5/153
What is prob of picking 1 h and 1 m when two letters picked without replacement from {a: 2, x: 3, h: 2, q: 2, m: 2, n: 1}?
2/33
What is prob of picking 3 m when three letters picked without replacement from {z: 13, m: 3}?
1/560
Four letters picked without replacement from uxuoxuguoxg. Give prob of picking 1 u, 2 o, and 1 x.
2/55
Three letters picked without replacement from {e: 1, m: 7, u: 7, x: 1}. Give prob of picking 2 u and 1 x.
3/80
Four letters picked without replacement from {f: 2, j: 3, w: 1, v: 1, m: 6}. What is prob of picking 1 m, 2 j, and 1 v?
18/715
What is prob of picking 2 x and 1 o when three letters picked without replacement from {o: 3, x: 8}?
28/55
What is prob of picking 3 l and 1 q when four letters picked without replacement from qqlqlqllqq?
4/35
What is prob of picking 1 p and 1 w when two letters picked without replacement from {q: 5, p: 4, g: 1, w: 3}?
2/13
Four letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
of g**2 - g + 6. Let i(f) = -l(f) + 5*v(f). Let m(o) = -2*o. Give i(m(p)).
-4*p - 5
Let u(k) = 75*k**2 - 6*k - 1. Let n(q) = 81*q - 8. Calculate u(n(b)).
492075*b**2 - 97686*b + 4847
Let m(j) = 2*j + j - 1684*j**2 + 1683*j**2 - 3*j. Let a(x) = -2*x - 193. Let t(k) = 2*k + 188. Let w(f) = -3*a(f) - 4*t(f). Determine w(m(r)).
2*r**2 - 173
Let a(s) = 114*s**2 - 2. Let x(t) = 287*t**2 - 91*t - 3822. Let k(c) = 19*c**2 - 6*c - 252. Let q(b) = 91*k(b) - 6*x(b). What is q(a(j))?
90972*j**4 - 3192*j**2 + 28
Let n(j) = 0 - 5 - 2480703*j**2 + 2480799*j**2. Let x(o) = 8*o. Determine x(n(b)).
768*b**2 - 40
Let b = 7 - 5. Let a(i) = i + 3*i + b*i. Let j(c) = -3*c**2 - 7*c + 1. Let g(n) = 16*n**2 + 35*n - 5. Let q(h) = -g(h) - 5*j(h). Determine a(q(o)).
-6*o**2
Let d(m) = 2*m**2 - 137*m. Let k(q) be the first derivative of -11*q**2/2 - 3731. Give d(k(a)).
242*a**2 + 1507*a
Let t(s) = 14*s**2 - 154*s + 154*s - 74*s**2 - 16. Let i(u) = 2*u**2. Calculate t(i(g)).
-240*g**4 - 16
Let p(t) = -3449734*t**2. Let l(m) = 2*m. Give p(l(u)).
-13798936*u**2
Let c(x) be the first derivative of -3*x**2/2 + x - 3. Let d(v) = -31*v + 99. Let f(t) = -72*t + 231. Let r(o) = -7*d(o) + 3*f(o). Calculate r(c(h)).
-3*h + 1
Suppose 14*l + 188 = 18*l. Let j(o) = l*o - 146*o + 14*o. Let u(x) = -2*x. Determine j(u(i)).
170*i
Let y(c) = -19*c**2. Let l(q) = 3508*q**2 + q - 1. Calculate l(y(t)).
1266388*t**4 - 19*t**2 - 1
Let l(m) = -337*m**2 - 175*m - 1. Let s(z) = -10*z - 1. What is s(l(h))?
3370*h**2 + 1750*h + 9
Let m(p) = -1356*p + 1450. Let l(x) = -x**2 - 61. Calculate m(l(g)).
1356*g**2 + 84166
Let f(z) = 4*z. Let a(t) be the second derivative of 7*t**5/60 - t**3/3 + 29*t**2/2 + t + 1. Let q(p) be the second derivative of a(p). Determine q(f(y)).
56*y
Let t(w) = 845*w. Let d(i) = 179*i**2 + 14*i. Let a(z) = -230*z**2 - 18*z. Let b(p) = 14*a(p) + 18*d(p). Give b(t(j)).
1428050*j**2
Let v(g) = -23*g + 3. Let o(x) = -9*x**2 - 29*x - 42. Let u(a) = -4*a**2 - 13*a - 18. Let k(z) = -6*o(z) + 14*u(z). Calculate v(k(t)).
46*t**2 + 184*t + 3
Let v(d) = 73*d**2 - 40*d. Let m(a) = 1606*a**2 - 876*a. Let u(s) = -10*m(s) + 219*v(s). Let o(y) = -8*y**2. Determine o(u(i)).
-42632*i**4
Let d(b) be the first derivative of 9*b**2/2 + 3*b + 21. Let r(m) be the first derivative of m**2 - 20. Determine r(d(u)).
18*u + 6
Let l(n) = 21*n. Let m be ((-12)/36)/((-1)/75). Suppose -2*a = -o + a + m, -5*a + 25 = 0. Let q(p) = o - 40 + 2*p. Determine q(l(d)).
42*d
Let q(g) be the third derivative of 0*g**3 + 1/12*g**4 + 2 + 0*g + 7*g**2. Let t(b) = 37*b**2 + 1. What is t(q(j))?
148*j**2 + 1
Let z(h) be the first derivative of 2*h**2 - 2. Let y(p) be the first derivative of 0*p + 0*p**2 - 2/3*p**3 - 194. Give y(z(t)).
-32*t**2
Let w(r) = -13*r - 6. Let m(v) = v - 3. Let b(d) = 2*m(d) - w(d). Let k(g) = -38*g**2 - 36*g**2 + 75*g**2. What is b(k(x))?
15*x**2
Let r(d) = 133*d. Let z(c) = 2135*c**2. What is r(z(j))?
283955*j**2
Let w(b) = -2*b**2. Let y(a) = 3268231*a**2. What is w(y(q))?
-21362667738722*q**4
Let h(k) = -4231243*k. Let y(g) = 38*g + 2. Calculate y(h(q)).
-160787234*q + 2
Let y(z) be the third derivative of 12*z**5/5 - z**4/12 + 3*z**2 + 192. Let s(q) = -2*q**2. Determine y(s(i)).
576*i**4 + 4*i**2
Let a(g) = -2*g. Let h(n) = -26402168*n. Determine h(a(k)).
52804336*k
Suppose 1 = -k + 4*t + 56, 5*k - 3*t = 258. Suppose -14*o = -11*o - k. Let v(s) = 33*s**2 - o*s**2 - 17*s**2. Let q(x) = -64*x. What is q(v(a))?
64*a**2
Let b(x) = x**2 + 204*x. Let k(f) = -163*f - 15. Let h(c) = 225*c + 21. Let s(u) = -5*h(u) - 7*k(u). Determine b(s(r)).
256*r**2 + 3264*r
Let q(j) = -32*j. Let f(g) be the second derivative of 0*g**3 + 0*g**2 + 4 - 1/4*g**4 - 7*g. Determine q(f(x)).
96*x**2
Let b(c) = -515*c - 10. Let l(x) = -99*x - 2. Let i(f) = -b(f) + 5*l(f). Let a(n) = -9 - n + 9. What is a(i(r))?
-20*r
Let d(i) = -9*i**2. Let y(c) = -108*c**2 - 14716*c - 1. Calculate y(d(h)).
-8748*h**4 + 132444*h**2 - 1
Let z(w) = w. Let k be 7 - 1*1/1. Let f(j) = -3*j + 20. Let c be f(k). Let d(t) = 9*t**c + 11*t**2 + 0*t**2. Give z(d(q)).
20*q**2
Let q(f) = -75*f**2 - f - 66. Let o(b) = 2*b - 89. Calculate o(q(c)).
-150*c**2 - 2*c - 221
Let y(z) = 12074*z**2 + 2*z + 49. Let a(s) = -10*s. Determine a(y(t)).
-120740*t**2 - 20*t - 490
Let a(q) = q**2. Let h(r) = -9450868*r**2. What is h(a(c))?
-9450868*c**4
Let n(i) = 2095*i. Let f(h) = 5884*h. What is n(f(l))?
12326980*l
Let i(v) = -6*v. Let s(c) be the third derivative of -13*c**8/20160 + c**5/5 - c**3/6 - 79*c**2. Let w(d) be the third derivative of s(d). Determine i(w(b)).
78*b**2
Let r(v) = 403*v**2 - 170*v**2 - 232*v**2. Let a(i) = 24*i**2 + 8*i. Give r(a(l)).
576*l**4 + 384*l**3 + 64*l**2
Let m(i) be the third derivative of -11*i**4/12 - 7*i**2. Let o(h) = 13*h - 61*h + 37*h + 16*h. What is m(o(g))?
-110*g
Let t(u) = -4*u. Let a(w) be the third derivative of -65*w**4/24 + w**3/2 + 4359*w**2. Determine t(a(s)).
260*s - 12
Let q(g) = 4*g**2 - g. Let x(u) = -346 - 12 - 2*u + 358. Calculate q(x(h)).
16*h**2 + 2*h
Let j(p) be the first derivative of -p**2/2 - 1. Let m(q) = -757*q + 22. Let h(x) = 8600*x - 250. Let b(r) = -11*h(r) - 125*m(r). Determine b(j(k)).
-25*k
Suppose -3*x + 3*p = -9, -2*x + 9*p = 8*p - 5. Let n(h) = 13*h**2 - 52*h**2 + 30*h**x. Let u(t) be the third derivative of -t**4/12 - 2*t**2. Calculate u(n(d)).
18*d**2
Let h(u) = 77*u + 3. Let r(a) = 59*a + 2. Let t(p) = -2*h(p) + 3*r(p). Let v(d) = -58*d**2 - 1. Determine v(t(k)).
-30682*k**2 - 1
Let t(l) = -4*l**2. Let n(o) = 3*o**2 - 2*o + 2. Let x(d) = -7*d**2 + 6*d - 5. Let s(u) = 3*n(u) + x(u). Determine t(s(w)).
-16*w**4 - 16*w**2 - 4
Let f(x) = -181*x**2 + x. Let n(i) = -15*i**2 + 20*i - 20. Let z(p) = 2*p**2 - 3*p + 3. Let u(m) = -3*n(m) - 20*z(m). Determine f(u(r)).
-4525*r**4 + 5*r**2
Let o(m) = -29316531*m**2. Let y(c) = -c. Determine o(y(r)).
-29316531*r**2
Suppose p - 5*l + 1 = 0, 20*p - 17*p = 3*l + 33. Let o(h) = 4*h - p*h + 6*h. Let b(d) = 3*d. Give o(b(k)).
-12*k
Let l(q) = -3*q**2. Let g(v) = 3236*v + 8. Let h(k) = 6468*k + 20. Let o(u) = -5*g(u) + 2*h(u). Determine o(l(c)).
9732*c**2
Let n(l) be the first derivative of -l**2/2 - 67. Let x(p) = -4965*p**2. Determine n(x(t)).
4965*t**2
Let l(q) = -186*q**2. Let h be (2 - -2) + -5 + (-3 - -6). Let d(z) = -21*z**2 - 14*z**2 + 44*z**2 - 11*z**h. Give l(d(g)).
-744*g**4
Let r(y) = -2*y - 4. Let k(o) = -196*o**2 - 2*o - 9. Calculate r(k(x)).
392*x**2 + 4*x + 14
Let j(a) = -572316*a**2. Let r(k) = -26*k**2. Give r(j(y)).
-8516185700256*y**4
Let s(u) = -2*u. Let y(g) = 2521*g + 30. Let t(m) = 849578*m + 10104. Let h(q) = -5*t(q) + 1684*y(q). Give h(s(k)).
5052*k
Let k(m) = -3*m - 4. Let n(h) = 35*h + 50. Let c(u) = 50*k(u) + 4*n(u). Let o be -1*3*(-60)/36. Let q(g) = -o*g + 0*g + 6*g + g. Determine q(c(v)).
-20*v
Let d(v) = 5*v**2. Let g(s) = -248*s**2 - 90. Let l(b) = -3*b**2 - 5. Let p(r) = 2*g(r) - 36*l(r). Determine d(p(k)).
752720*k**4
Let y(h) = -75*h**2. Let n(z) = 549*z**2 - 90*z + 180. Let o(m) = 25*m**2 - 4*m + 8. Let l(f) = -2*n(f) + 45*o(f). What is l(y(v))?
151875*v**4
Let i(x) be the first derivative of -x**3/6 - 48*x - 74. Let o(l) be the first derivative of i(l). Let z(d) = 4*d. Determine z(o(h)).
-4*h
Let l(p) = -3113*p. Let g(n) be the first derivative of -n**3/3 - 735. Give g(l(c)).
-9690769*c**2
Let d(u) = -33*u. Let z = 466 - 158. Let q(c) = -z*c**2 + 311*c**2 - 1 + 1. Calculate d(q(k)).
-99*k**2
Let l(g) = 2*g**2. Let s(y) = 120813*y**2 + 1. Calculate s(l(a)).
483252*a**4 + 1
Let w(f) be the first derivative of -f**3 + 114. Let j(h) = 882*h**2. Give w(j(q)).
-2333772*q**4
Let g(m) = 2*m**2 + m. Let a(s) = 244*s**2 - 44*s. Let y(d) = 2*a(d) + 88*g(d). Let x(z) = z. What is y(x(n))?
664*n**2
Let a(z) be the second derivative of 0*z**3 + 0 + 0*z**2 + 37*z + 1/12*z**4. Let c(d) = 9*d. Determine a(c(x)).
81*x**2
Let l(p) = 801*p. Let j(k) = -7*k**2 + 71*k + 6. Give j(l(r)).
-4491207*r**2 + 56871*r + 6
Let m(q) = -555*q. Let a(l) = 26975*l**2. Determine a(m(t)).
8308974375*t**2
Let j(g) = 6079*g**2. Let h(d) = -172600094*d - 2*d**2 + 172600094*d. Give j(h(i)).
24316*i**4
Let u(j) = 98*j + 30. Let a(p) = 150*p + 48. Let q(r) = 5*a(r) - 8*u(r). Let o(t) = -2*t**2 - 29. Calculate q(o(l)).
68*l**2 + 986
Let d be (48/(-16))/((-6)/4). L
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-2/3)*((l*l**(1/6))/l)/(l*l*l**4*l) assuming l is positive.
l**(-41/6)
Simplify (h/h**1)**(-6)/(h**(-6)/(h/(((h*h**(-6))/h)/h*h))) assuming h is positive.
h**13
Simplify a**(-26)/a**(-1/31) assuming a is positive.
a**(-805/31)
Simplify (f*f*f**(3/5))**(4/15) assuming f is positive.
f**(52/75)
Simplify (g/g**(-16)*g**(-6))**(-1/32) assuming g is positive.
g**(-11/32)
Simplify (a**0*a*a/a**(-1/8))/(a**4/((a**5/a)/a)) assuming a is positive.
a**(9/8)
Simplify ((((j*(j*(j*j**(-7))/j)/j)/j)/j*j*j)/(j*j*j**(-9)*j))/(j**(-2/27)/j*j**(-1)) assuming j is positive.
j**(56/27)
Simplify ((k**(-2/5)/k)/k)**(-29) assuming k is positive.
k**(348/5)
Simplify p*p**9*p*p*p**(-5/4)/p*(p*p**(-1))**(-9) assuming p is positive.
p**(39/4)
Simplify (q*q*q**(-1/3))**(3/32)/(q**0/q**(-6)) assuming q is positive.
q**(-187/32)
Simplify (t**(-4/5)/t)/(t*(t/((t/(t/(t**0/t)))/t))/t)*(t**1)**(15/2) assuming t is positive.
t**(27/10)
Simplify (o/((o**(-2/29)/o)/o)*o)/(o*o**(-3/20)) assuming o is positive.
o**(1867/580)
Simplify r**(-1/24)/r**4 assuming r is positive.
r**(-97/24)
Simplify (y**(2/21)*y**8)**19 assuming y is positive.
y**(3230/21)
Simplify q/(q*(q/(q*(q**(2/5)*q*q)/q))/q)*q**(-7) assuming q is positive.
q**(-23/5)
Simplify ((m*m/m**0*m*m*m*m)/m*(m*m**(-6)*m)/m)**(-26) assuming m is positive.
1
Simplify n**(-2/17)*n**(6/5) assuming n is positive.
n**(92/85)
Simplify (w*w/((w*w**(-2/3))/w))**(-42)/(w**(1/6)/(w*w**6*w)) assuming w is positive.
w**(-625/6)
Simplify (u*(u/(u/(u**(-2/9)*u)))/u)**10/(u**(-4)/u**(4/3)) assuming u is positive.
u**(118/9)
Simplify (g**(-3)/g*g**(-1/20))**(-4/9) assuming g is positive.
g**(9/5)
Simplify k**(-4/9)*k**0*k*k*k*k**(-2/7)*(k/k**4*k)/k assuming k is positive.
k**(-46/63)
Simplify ((o/(o/o**(-10)))/o**(1/6))/(o**8*(o*o**(-10))/o) assuming o is positive.
o**(-49/6)
Simplify (d/(d/d**(-2))*d*d/(d*d*d**(-2)))**(-16) assuming d is positive.
1
Simplify ((m*m/(m**(1/8)*m*m))/m*m*m/(m*m**2))**(8/7) assuming m is positive.
m**(-17/7)
Simplify ((l**(-2/11)/l)/(l*l/(l/((l/(l/l**5*l))/l))))**28 assuming l is positive.
l**(-1596/11)
Simplify m/(m/(m*m**(3/8)/m*m)*m*m)*m**(2/7) assuming m is positive.
m**(-19/56)
Simplify (l**(-2/5))**(-1)*(l*l**(2/9)/l*l*l)**(-2/21) assuming l is positive.
l**(178/945)
Simplify (o**4*o/(o/(o*(o/(o*o*o*o**(-4)))/o)))**(-7/8) assuming o is positive.
o**(-21/4)
Simplify (l*(l/l**0)/l*l)**28*(l**(-2)*l)/((l/(l*l/(l*l/(((l**(-5)/l)/l)/l))))/l) assuming l is positive.
l**47
Simplify h**1*((h/(h/(h/(h*h*h**(-5/4)))))/h*h)/h*(h/(h*h*h*h/(h**0*h)))**10 assuming h is positive.
h**(-79/4)
Simplify ((z**(1/2))**28)**(-30) assuming z is positive.
z**(-420)
Simplify (x**(-2/3))**(10/11)*x**(-2/5)*x*x*x**0*x assuming x is positive.
x**(329/165)
Simplify (m/(m**(1/13)/m*m*m))**(-11) assuming m is positive.
m**(11/13)
Simplify ((i**(-6)/i)/(i**(-5)/i))/((i/i**(5/2))/i**(-6)) assuming i is positive.
i**(-11/2)
Simplify (r/r**6)**(-2/21) assuming r is positive.
r**(10/21)
Simplify (b/(b**(-2/29)*b*b)*b/((b*b/(b*b**(-12/11))*b)/b))**(-1/50) assuming b is positive.
b**(129/3190)
Simplify (p**(-13)*p/(p/(p*p**(-1))))**(-5/4) assuming p is positive.
p**(65/4)
Simplify j**(-2)*j*(j/(j**26/j*j))/j assuming j is positive.
j**(-27)
Simplify (z*z*z*z**(13/5))**(2/121) assuming z is positive.
z**(56/605)
Simplify c**(3/8)*c*c**(-2/3)*c assuming c is positive.
c**(41/24)
Simplify (y**(-2/9))**(4/3)*(y/y**(1/4)*y*y*y*y)**10 assuming y is positive.
y**(2549/54)
Simplify d/d**27*d**(-33)*d assuming d is positive.
d**(-58)
Simplify a/((a**(-4)*a)/a)*a*a*(a*a/a**(-2/19)*a)/a*a assuming a is positive.
a**(192/19)
Simplify b**(-1/4)*b*b/b**(4/7)*b assuming b is positive.
b**(61/28)
Simplify (w**6*w)/(w**(-4/13)*w)*(w*w/(w*w**2))**(-45) assuming w is positive.
w**(667/13)
Simplify ((p/(p*p**(-8/3)))/p**0)**(-2/17) assuming p is positive.
p**(-16/51)
Simplify (v/(v/(v*v*(v*v*v*v*v/v**2*v)/v))*v*v**(-6))/(((v**(-1)/v)/v)/v)**(-17) assuming v is positive.
v**(-68)
Simplify (s**(-1)*s**(3/4))/(s**(5/3)/(s*s*s/(s*s/s**(-2/13)*s))) assuming s is positive.
s**(-323/156)
Simplify (p/p**0)/(p**(-3/2)/p)*(((p*((p/(p**(-1/4)*p))/p)/p*p)/p)/p*p)**7 assuming p is positive.
p**(-7/4)
Simplify ((t/(t**(2/9)*t*t))/(t*t**(-3/2)*t))/(t**(-1/2)*t*t/(t*t**(1/3))) assuming t is positive.
t**(-17/9)
Simplify u**6/((u/u**4)/u)*u/(u/(u/u**(-2/15)))*u*u**(-5) assuming u is positive.
u**(107/15)
Simplify (((h**(-2/3)/h)/h)/((h*h*h**6*h*h)/h))**(-15) assuming h is positive.
h**175
Simplify (f/f**(-1)*f)**(-15)/(((f*f**(-4))/f)/f*f*f/f**(-1)) assuming f is positive.
f**(-43)
Simplify (d**(-2/5))**(-32/5)*(d**(-1))**(-31/5) assuming d is positive.
d**(219/25)
Simplify (r**(1/2))**49 assuming r is positive.
r**(49/2)
Simplify (y/y**(-2/19))**(6/19) assuming y is positive.
y**(126/361)
Simplify ((k*k**(-2/9))**(5/6))**(-11) assuming k is positive.
k**(-385/54)
Simplify ((q*(q*q**(-2/9))/q)/q)**(-47)/(q**(-1/4))**48 assuming q is positive.
q**(202/9)
Simplify ((x*(x**0/x)/x)/(x**(-2/19)/x))/(x/(x*x*x**(-1/6)/x*x)*x**(-2)*x) assuming x is positive.
x**(221/114)
Simplify m*m**(-13)*m**(-11) assuming m is positive.
m**(-23)
Simplify (u**1/u)**44*((u*u*u/(u*u/u**(-2/23))*u*u)/u)/(((u/u**6)/u)/u*u) assuming u is positive.
u**(182/23)
Simplify (s**(-1)*s*s)**12/(s*s**(-6)*s**(-3/10)*s) assuming s is positive.
s**(163/10)
Simplify s**(-1/18)/s*s**(-2/35) assuming s is positive.
s**(-701/630)
Simplify (u**(-23))**(-44) assuming u is positive.
u**1012
Simplify i*i**(-8)*(i/(i*i/i**(-9/7))*i)/i*i assuming i is positive.
i**(-58/7)
Simplify ((d**(1/14)/d)/d*d*d*d/d**(-1/3))/((d/(d/((d**(2/3)*d)/d)))/d)**(-47) assuming d is positive.
d**(-599/42)
Simplify (((v**(-4)/v)/v*v)/v)**33 assuming v is positive.
v**(-198)
Simplify (b*b/(b/(((b*b/b**15)/b)/b)))/b*b**(-13) assuming b is positive.
b**(-28)
Simplify (g**(1/16)*g)**22 assuming g is positive.
g**(187/8)
Simplify p**(-22/7)/p**21 assuming p is positive.
p**(-169/7)
Simplify (((q**11/q)/q)/(q/(q*q/q**(2/3))))**(-50) assuming q is positive.
q**(-1400/3)
Simplify k**(2/3)*k**(-2/9)/k*k/k**(-4)*k*k**(1/3) assuming k is positive.
k**(52/9)
Simplify ((m*m**4)/m**6)/((m*m*m**(-5/3))/m**(-2)) assuming m is positive.
m**(-10/3)
Simplify (z**(-1/3)*z*z**(-2/15))/(z**2)**(-1/2) assuming z is positive.
z**(23/15)
Simplify z/(z**5/z*z)*z*z*z*z*z**(-6)*z*z**0*z**(-1/10)*z assuming z is positive.
z**(-41/10)
Simplify (j**1)**(-28)*j/j**4*j**(-1) assuming j is positive.
j**(-32)
Simplify r**(1/4)*r*((r*r**26)/r)/r assuming r is positive.
r**(105/4)
Simplify c/(c*c/c**11*c)*c**7*c**(-7/4)*c**1*c assuming c is positive.
c**(65/4)
Simplify (c**(-1/3))**2*(c*c**(4/7)*c*c)/c**(-4/9) assuming c is positive.
c**(211/63)
Simplify (d**(-11)*d)**(4/15) assuming d is positive.
d**(-8/3)
Simplify (p**(-1))**37/(p**2/(p/((((p*p/(p*p*p**3))/p*p)/p*p)/p))) assuming p is positive.
p**(-34)
Simplify ((w*w*w**1)/w)/w*w**(1/4)*w*(w/w**(-2/3))/w*w*w**(4/3) assuming w is positive.
w**(21/4)
Simplify ((u**6*u)/u**(-1))/((((u**5*u)/u*u)/u)/(u/u**(-4/9))) assuming u is positive.
u**(40/9)
Simplify a**11*a**(6/5) assuming a is positive.
a**(61/5)
Simplify (o/(o**(-2/5)*o))**(-1/16)/((o**(2/9)*o)/((o/(o**8/o))/o)) assuming o is positive.
o**(-2969/360)
Simplify (r**(1/17)/r**(-4/9))**(-4) assuming r is positive.
r**(-308/153)
Simplify ((p*p**5*p)/p**(3/2))**(-22) assuming p is positive.
p**(-121)
Simplify (c**(-15)*c*c)/((c**16/c)/c) assuming c is positive.
c**(-27)
Simplify (b/(b*(b/((b**10*b*b*b)/b))/b))/(b*b/(b*(b/(b/b**12))/b*b)*b) assuming b is positive.
b**22
Simplify (w/(w/w**(-1))*w)**(2/17)/((w/w**(-2/5))/(w*w/(w**(2/9)*w)*w*w)) assuming w is positive.
w**(62/45)
Simplify (r**(-5/6)/r)**(-2/187) assuming r is positive.
r**(1/51)
Simplify (z**(1/10)*z*z**0/z)/(((z/((z*z/(z**(-3/8)*z))/z))/z)/z**(3/2)) assuming z is positive.
z**(79/40)
Simplify (q/(q*(q/(q**(-5/3)*q))/q))**(13/5) assuming q is positive.
q**(-26/15)
Simplify (l/((l**(-3/7)/l)/l)*l)/l**(-3/4) assuming l is positive.
l**(145/28)
Simplify (d/(d/(d*d**34)))/d**(14/5) assuming d is positive.
d**(161/5)
Simplify (l**(4/3))**15 assuming l is positive.
l**20
Simplify l**(2/23)*l/(l**0/l)*l**(-9)/(l/((l*l**(-3/5))/l)) assuming l is positive.
l**(-979/115)
Simplify ((p**(-2/11)*p)/p*p**(-3))**49 assuming p
|
{
"pile_set_name": "DM Mathematics"
}
|
actors of 2084442.
2, 3, 73, 4759
What are the prime factors of 1123104?
2, 3, 11699
What are the prime factors of 959078?
2, 31, 499
List the prime factors of 26512345.
5, 1217, 4357
List the prime factors of 78715.
5, 7, 13, 173
List the prime factors of 2382810.
2, 3, 5, 79427
What are the prime factors of 12254452?
2, 7, 83, 5273
List the prime factors of 635510.
2, 5, 103, 617
What are the prime factors of 780313?
149, 5237
List the prime factors of 12247610.
2, 5, 151, 8111
List the prime factors of 11901740.
2, 5, 595087
List the prime factors of 7391949.
3, 2463983
List the prime factors of 4550056.
2, 7, 31, 2621
What are the prime factors of 8366343?
3, 2788781
List the prime factors of 1940953.
7, 277279
List the prime factors of 8901584.
2, 83, 6703
List the prime factors of 4815526.
2, 47, 51229
What are the prime factors of 3480126?
2, 3, 13, 44617
What are the prime factors of 1598871?
3, 61, 8737
What are the prime factors of 700558?
2, 37, 9467
What are the prime factors of 33459456?
2, 3, 19, 2293
List the prime factors of 6829557.
3, 7, 325217
List the prime factors of 647368.
2, 19, 4259
What are the prime factors of 880658?
2, 440329
What are the prime factors of 399408?
2, 3, 53, 157
List the prime factors of 35872.
2, 19, 59
What are the prime factors of 3681195?
3, 5, 7, 35059
List the prime factors of 3510724.
2, 7, 125383
What are the prime factors of 1274228?
2, 318557
List the prime factors of 2692575.
3, 5, 3989
List the prime factors of 119330.
2, 5, 11933
What are the prime factors of 7286156?
2, 1319, 1381
List the prime factors of 9455867.
9455867
List the prime factors of 72613.
72613
What are the prime factors of 983929?
983929
List the prime factors of 5433916.
2, 1358479
What are the prime factors of 266319?
3, 127, 233
List the prime factors of 287281.
287281
List the prime factors of 15226872.
2, 3, 47, 13499
What are the prime factors of 731514?
2, 3, 7, 17417
What are the prime factors of 1010198?
2, 7, 59, 1223
What are the prime factors of 498611?
498611
List the prime factors of 1514000.
2, 5, 757
What are the prime factors of 4760897?
937, 5081
What are the prime factors of 330260?
2, 5, 7, 337
What are the prime factors of 3930949?
11, 357359
What are the prime factors of 4306785?
3, 5, 7, 41017
List the prime factors of 2688010.
2, 5, 13, 23, 29, 31
What are the prime factors of 961723?
7, 19, 1033
List the prime factors of 196261.
13, 31, 487
List the prime factors of 1101548.
2, 7, 39341
What are the prime factors of 479354?
2, 89, 2693
List the prime factors of 2738941.
2738941
List the prime factors of 832224.
2, 3, 8669
List the prime factors of 3306592.
2, 191, 541
What are the prime factors of 4519486?
2, 443, 5101
What are the prime factors of 202613?
202613
What are the prime factors of 18232805?
5, 31, 79, 1489
List the prime factors of 1673232.
2, 3, 11, 3169
List the prime factors of 4473929.
37, 120917
What are the prime factors of 27751904?
2, 223, 3889
List the prime factors of 2427886.
2, 1213943
List the prime factors of 20407817.
1493, 13669
List the prime factors of 67899.
3, 13, 1741
What are the prime factors of 183608?
2, 59, 389
List the prime factors of 19783.
73, 271
What are the prime factors of 1730473?
1730473
What are the prime factors of 3208319?
3208319
List the prime factors of 1822503.
3, 163, 3727
List the prime factors of 1890064.
2, 11, 10739
List the prime factors of 44277.
3, 14759
List the prime factors of 112463.
13, 41, 211
List the prime factors of 2995950.
2, 3, 5, 19973
List the prime factors of 4464733.
7, 13, 43, 163
List the prime factors of 193924.
2, 48481
What are the prime factors of 1263318?
2, 3, 7, 4297
List the prime factors of 724407.
3, 241469
What are the prime factors of 2390553?
3, 11, 2683
What are the prime factors of 117602?
2, 127, 463
What are the prime factors of 9471320?
2, 5, 236783
List the prime factors of 3824804.
2, 773, 1237
What are the prime factors of 79649?
23, 3463
What are the prime factors of 437376?
2, 3, 17, 67
What are the prime factors of 4021058?
2, 1303, 1543
What are the prime factors of 9132898?
2, 181, 25229
List the prime factors of 922732.
2, 230683
List the prime factors of 575648.
2, 17989
What are the prime factors of 40019?
7, 5717
What are the prime factors of 7170230?
2, 5, 37, 19379
List the prime factors of 642496.
2, 10039
List the prime factors of 14703488.
2, 313, 367
What are the prime factors of 21024753?
3, 7008251
What are the prime factors of 9222054?
2, 3, 59, 109, 239
List the prime factors of 9365119.
19, 492901
What are the prime factors of 6511997?
6511997
What are the prime factors of 5674448?
2, 13, 27281
List the prime factors of 11795.
5, 7, 337
What are the prime factors of 2701266?
2, 3, 17, 71, 373
What are the prime factors of 64116?
2, 3, 13, 137
List the prime factors of 170066.
2, 13, 31, 211
List the prime factors of 602508.
2, 3, 23, 37, 59
List the prime factors of 10087.
7, 11, 131
What are the prime factors of 6850879?
7, 978697
What are the prime factors of 361580?
2, 5, 101, 179
List the prime factors of 8609940.
2, 3, 5, 31, 1543
List the prime factors of 241065.
3, 5, 11, 487
What are the prime factors of 488885?
5, 97777
What are the prime factors of 251658?
2, 3, 11, 31, 41
List the prime factors of 65104.
2, 13, 313
List the prime factors of 2463274.
2, 11, 19, 71, 83
List the prime factors of 541916.
2, 135479
List the prime factors of 4605834.
2, 3, 37, 20747
List the prime factors of 40163846.
2, 41, 489803
List the prime factors of 413455.
5, 7, 11813
List the prime factors of 984299.
984299
List the prime factors of 560869.
560869
List the prime factors of 1236526.
2, 23, 26881
List the prime factors of 1132747.
7, 11, 47, 313
List the prime factors of 1341523.
1341523
What are the prime factors of 7844108?
2, 1961027
What are the prime factors of 125811?
3, 7, 1997
What are the prime factors of 20542?
2, 10271
What are the prime factors of 204451?
13, 15727
List the prime factors of 12793821.
3, 19, 389, 577
What are the prime factors of 4388830?
2, 5, 103, 4261
What are the prime factors of 3680600?
2, 5, 7, 11, 239
List the prime factors of 217311.
3, 17, 4261
What are the prime factors of 78660?
2, 3, 5, 19, 23
What are the prime factors of 304171?
7, 19, 2287
List the prime factors of 3090414.
2, 3, 29, 17761
What are the prime factors of 1827700?
2, 5, 7, 373
List the prime factors of 970642.
2, 53, 9157
List the prime factors of 1304192.
2, 23, 443
What are the prime factors of 1750?
2, 5, 7
What are the prime factors of 830467?
11, 17, 4441
What are the prime factors of 250351?
79, 3169
List the prime factors of 725522.
2, 7, 29, 1787
List the prime factors of 1675851.
3, 173, 3229
What are the prime factors of 168443?
11, 15313
What are the prime factors of 5166794?
2, 43, 73, 823
What are the prime factors of 611263?
611263
List the prime factors of 1451253.
3, 483751
What are the prime factors of 602748?
2, 3, 5581
What are the prime factors of 6470826?
2, 3, 1078471
What are the prime factors of 267037?
267037
What are the prime factors of 7257418?
2, 7, 518387
What are the prime factors of 3991252?
2, 997813
List the prime factors of 44459.
23, 1933
What are the prime factors of 1044974?
2, 7, 10663
What are the prime factors of 2582404?
2, 11, 19, 3089
List the prime factors of 142859.
373, 383
List the prime factors of 177138.
2, 3, 13, 757
List the prime factors of 693084.
2, 3, 7, 37, 223
What are the prime factors of 4940773?
1663, 2971
List the prime factors of 2334450.
2, 3, 5, 79, 197
What are the prime factors of 430269?
3, 7, 2927
List the prime factors of 36160.
2, 5, 113
List the prime factors of 946265.
5, 189253
List the prime factors of 151892.
2, 13, 23, 127
List the prime factors of 231487.
83, 2789
What are the prime factors of 221190?
2, 3, 5, 73, 101
What are the prime factors of 599292?
2, 3, 31, 179
What are the prime factors of 485707?
17, 28571
What are the prime factors of 314092?
2, 17, 31, 149
What are the prime factors of 132301?
13, 10177
List the prime factors of 33780.
2, 3, 5, 563
List the prime factors of 2977583.
7, 8681
List the prime factors of 461783.
7, 41, 1609
What are the prime factors of 2096771?
103,
|
{
"pile_set_name": "DM Mathematics"
}
|
0).
2, 7
Suppose 0 = -r - 8 + 36. Suppose -p + r = p. List the prime factors of p.
2, 7
Let h = 98 + -47. What are the prime factors of h?
3, 17
Suppose 5*d - 42 = 23. Suppose -5*q + 26 - 1 = 0. Suppose -q*h = -d - 32. What are the prime factors of h?
3
Suppose 0 = -3*h + 8*h - 125. Suppose 6 = -s + h. Suppose -2*q + q = 5, 0 = x - 3*q - s. List the prime factors of x.
2
Let t = -1 - -8. Let s(y) = y + 0*y + 4 - t. What are the prime factors of s(5)?
2
Let t(j) = 10*j - 8. Let f be t(10). Suppose -3*h = -10 - f. What are the prime factors of h?
2, 17
Let j(d) = -d**3 + d**2 + 2*d. List the prime factors of j(-2).
2
Let w = -103 + 175. What are the prime factors of w?
2, 3
Let h = -7 + 4. Let n = 0 - h. Suppose -18 = -2*o - 2*p, 0 = -4*o - 2*p - n*p + 34. What are the prime factors of o?
11
Suppose 0 = 4*l + 4*x - 20, 3*x = 7*x + 8. Let r be 3/(-2)*-6 - -1. List the prime factors of (-2 + l)*32/r.
2
Let y be 0 + (-1)/(-4)*0. Suppose y = -v - 2*v + 162. List the prime factors of v.
2, 3
Let w(o) = 2*o**2 + 3*o + 2. Let d be w(-6). What are the prime factors of 2000/d + 4/14?
2, 3
Suppose -4 = -2*k - 2*f, 2*k + 27 = 5*f + 3. Let d = k - -14. What are the prime factors of d?
2, 3
Let u = 19 - 13. List the prime factors of u.
2, 3
Let j(x) = x**3 + 2*x**2 - 5*x + 2. Let i(c) = c - 8. Let o be i(5). List the prime factors of j(o).
2
Let h be (-10)/35 - (-60)/14. Let c be 55/(-4) + h/(-16). List the prime factors of (-4)/c - (-12)/7.
2
Let g(l) = -l**3 + 5*l**2 - 5*l + 6. Let r be g(4). Suppose w - 8 = r*k, -2*k + 6*k = -8. What are the prime factors of w?
2
Let a = -16 - -82. What are the prime factors of a?
2, 3, 11
Suppose -2*r = -5 - 1. Suppose q = 1 + 5. Suppose n = -r + q. List the prime factors of n.
3
Let u = 40 - 14. Suppose 4*n - u + 6 = -3*l, -3*l = -n - 25. What are the prime factors of l?
2
List the prime factors of 8*8 + 0/14.
2
Let h(p) = 0 - 3 + 0*p**2 - p**2 + 3*p. Let d be h(4). Let t = d - -11. List the prime factors of t.
2
Suppose 0 = 7*r - 5*r - 20. What are the prime factors of r?
2, 5
Let z = 4 + -1. Let l(i) = -i**3 + 5*i**2 - 4*i + 2. Let h be l(4). Let n = h + z. List the prime factors of n.
5
Let l = -171 + 165. Let t(c) = 0 + c**3 + 4 - 1 + 7*c**2 + 5*c. List the prime factors of t(l).
3
Let l(c) = -c**3 + 7*c**2 + 7*c - 2. Let j be l(8). Let d be 8/2*(-5)/j. What are the prime factors of (2/(-2))/(d/(-8))?
2
Let w = 26 - 50. What are the prime factors of w/8 - (1 - 23)?
19
Suppose 29 = 2*f + g - 0*g, 5*g + 11 = 3*f. List the prime factors of f.
2, 3
Let j = 30 + -4. List the prime factors of j.
2, 13
Suppose -2*g - 4*y = -y - 12, 8 = g + y. List the prime factors of g.
2, 3
Suppose 4*i = 2*i + 4*z + 22, 5*z = 4*i - 35. Suppose 0 = 6*k - i*k - 10. Suppose k = -4*p + 6*p. List the prime factors of p.
5
Suppose 4*u = 12 - 4. Let n = 1 + u. What are the prime factors of n?
3
Let f(t) = -t**2 + 4*t. Let b(u) = u**2 - 4*u - 1. Let w(h) = -3*b(h) - 2*f(h). Let i(o) = o**3 - 3*o + 2. Let x be i(2). What are the prime factors of w(x)?
3
Let n(c) = c**3 - 12*c**2 + c - 11. Let l be n(12). What are the prime factors of (-48)/(-2) - (l - -1)?
2, 11
Let m(b) = b**3 + 12*b**2 + 7*b + 7. Let x be m(-11). What are the prime factors of x - 3*(-3 - -2)?
2, 3
Let l = 368 - 192. List the prime factors of l.
2, 11
Let h(i) = 1 - 3 + 3*i + 2. Let j be h(1). Suppose 2*l = 2*y - 0*l - 14, -5*l = -j*y + 19. List the prime factors of y.
2
Suppose 4*b = -20, b + 3 = 5*l - 2. Suppose -3*o + 34 = 5*y - l*o, -2*y = -2*o - 20. List the prime factors of y.
2
Suppose -5*i + 25 = -4*i. Let h = i + -14. What are the prime factors of h?
11
Let d(w) = w**3 - 6*w**2 - w + 6. Let o be d(6). Suppose 0 = -5*q - o - 5. List the prime factors of (-28)/(-6) + q/(-3).
5
Let m(r) = -r - 5. Let u(x) = 5 - 5 + x. Let k(p) = m(p) - 2*u(p). List the prime factors of k(-5).
2, 5
Suppose 0 = 5*a + w + 131, -2*a + 4*w - 77 = -29. Let z = a + 14. Let m = z - -35. List the prime factors of m.
23
What are the prime factors of (789/(-12))/((-5)/4 + 1)?
263
Let t be -94*-4*(-4)/32. Let j = 75 + t. List the prime factors of j.
2, 7
List the prime factors of 138/2 - (-5)/((-15)/(-9)).
2, 3
Let s(k) be the third derivative of k**4/24 + 7*k**3/3 + k**2. List the prime factors of s(-8).
2, 3
Let z be (-26)/10 - 4/10. Let b = 8 + z. Suppose -3*k + 24 = -b*m, 0*m = -5*k - 2*m + 71. What are the prime factors of k?
13
Suppose -3*v + 6 = -5*v, 0 = 4*y - 3*v - 141. Suppose 2*r + y = 5*r. What are the prime factors of r?
11
Let q(f) = -26*f - 5. List the prime factors of q(-4).
3, 11
What are the prime factors of -12*(-3 + (-5)/(-2))?
2, 3
List the prime factors of (-249 + -3)*4/(-6).
2, 3, 7
Suppose 6*z - 2*z = -12, 4*t + z = -135. Let i = 6 + t. Let j = 40 + i. List the prime factors of j.
13
List the prime factors of ((-28)/(-10) - 2)*30.
2, 3
Suppose -3*g = 5*h - 2*g - 92, -5*h + 86 = -2*g. What are the prime factors of h?
2, 3
Let n(h) be the third derivative of -h**4/24 + 7*h**3/6 + 2*h**2. Let x = -4 - -9. What are the prime factors of n(x)?
2
Let b(d) = -132*d - 4. Let c be b(-3). List the prime factors of (-2)/(-6) + c/21.
19
Let f(k) = k**2 - 2*k + 3. What are the prime factors of f(3)?
2, 3
Let j(z) = 9*z. Let m be j(1). Let w be -2 + 0 - (-4 - 11). Let t = w - m. What are the prime factors of t?
2
Let d(q) = -q**3 - q**2 - q - 2. Let j be d(0). What are the prime factors of 11 + (1 - 0)*j?
3
Suppose -76 = -2*w - 2*w. Suppose -k + 15 = -3*n - w, -4*n - 37 = -k. Suppose -3*p + k = -5. List the prime factors of p.
2, 5
List the prime factors of (-5)/(15/18) + 109.
103
Suppose 2*s = -s - 12. Let u be 150/24 - (-1)/s. List the prime factors of (-43)/(-2) - (-3)/u.
2, 11
Let f = 3 - 4. List the prime factors of -8*((-1)/(-4) + f).
2, 3
Suppose -4 = -3*z + 8. Suppose 0*h - 5*d = h, -2*d + 72 = z*h. What are the prime factors of h?
2, 5
Suppose -64 = -3*n - 0*o + 2*o, 3*n - 88 = -4*o. Suppose d - 2*d + n = 0. What are the prime factors of d?
2, 3
Let w(a) = a**2 - 3*a - 6. Let n be w(5). Suppose n*q + 6 = 6*q. What are the prime factors of q?
3
Let v(h) = 28*h**2 + 8*h + 3. List the prime factors of v(3).
3, 31
What are the prime factors of 3/2 - 8169/(-42)?
2, 7
Let y(q) = -3*q**3 - 3*q**3 - q**3 - q**2. What are the prime factors of y(-1)?
2, 3
Let w = 8 + -2. Suppose c = -2*v + v - 1, -3*v = 2*c + w. Suppose a - 24 = -4*t, -a + c - 21 = -3*t. What are the prime factors of t?
2, 3
List the prime factors of (-4)/(12/(-9)) - -32.
5, 7
Suppose -169 = -4*k - 25. Suppose 5*z - 2*m = k, 3*z - 4*m = -1 + 17. List the prime factors of z.
2
Suppose 3*o + 2*k = -20, 2*o + k + 9 = 4*k. What are the prime factors of (-43 - o)*(0 + -1)?
37
Let p be 6/(-21) + 32/14. What are the prime factors of (480/(-4))/(-4) + p?
2
Suppose -s = 7 - 35. Suppose -v = -5*v + s. List the prime factors of v.
7
Let o = 2 + 1. Suppose 1 = -i - o. What are the prime factors of ((-13)/2)/(2/i)?
13
Let m be (-16)/4 - (2 - 11). What are the prime factors of 135/m + (-3)/(-1)?
2, 3, 5
Suppose -u = 2*u - 24. Suppose 0 = t + l + 1, 2*l = -3*t - 0 - 5. Let m = u + t. What are the prime factors of m?
5
Suppose 0 = -2*c - 7 + 1. Let n = -3 - c. Suppose -4*z - 2*u + 18 = n, 3*u - 23 = -4*z - 0*u. List the prime factors of z.
2
Let x(a) = -3 - 4*a**2 + 6 - 2*a + 2*a - a**3. List the prime factors of x(-4).
3
Let v = -9 + 24. Suppose -5*u - v = 0, 10 = 2*n - 4*u + 2*u. What are the prime factors of n?
2
Let l(z) = -7*z + 15. Let u(v) = 20*v - 44. Let f(o) = -17*l(o) - 6*u(o). Let i be (-1)/(-1 + (-16)/(-20)). What are the prime factors of f(i)?
2
Let x(n) = 2*n - 7. Suppose -4 = -2*s + 6. Let b be x(s). Let o(q) = -q**3 + 5*q**2 - 2*q - 2. What are the prime factors of o(b)?
2, 5
Let n(c) = 4*c**3 + 2*c**2. What are the prime factors of n(2)?
2, 5
Suppose -4*h - 19 - 9 = 0. Let n(m) = 13*m**2 + m + 4. Let q(j) = -26*j**2 - 2*j - 7. Let o(y) = h*n(y) - 4*q(y). List the prime factors of o(1).
2, 7
Let w = 117 + -70. What are the prime factors of w?
47
Suppose 0 = -5*w - 4*n + 631, 2*w - 27 = 5*n + 232. List the prime factors of w.
127
Suppose 0*x + x = 0. What are the prime factors of 2 - -2*(x + 3)?
2
Suppose 3*b + h - 9 = -2*b, 2*b + h = 3. List the prime factors of ((-1)/b)/(13/(-546)).
3, 7
List the prime factors of (-12)/
|
{
"pile_set_name": "DM Mathematics"
}
|
y + 3, 4*v + 3*y = 24. Suppose v = t + 2*t. Which is the nearest to 1? (a) t (b) 0.3 (c) 2/7
b
Let l be 36/21 - 4/(-14). Let i = l + -1. Let f = -0.1 + 0.4. Which is the nearest to i? (a) 0 (b) f (c) 4
b
Let v = -13.8 - -13.7. What is the closest to v in 4, -0.4, -12?
-0.4
Let k = 12 + -9. Suppose -5*y + 2 = 4*i, 0*y - k*y - 21 = -5*i. Let z = 0.3 + 0. What is the nearest to 1 in z, 0.4, i?
0.4
Suppose 0 = -o - 6*o - 35. Which is the nearest to -1? (a) 4 (b) o (c) -10
b
Let w = 32/15 + -14/5. Suppose -9 = -0*v + 3*v. Which is the closest to w? (a) 0 (b) 0.1 (c) v
a
Let i = -0.3 + 0.6. Let d = -0.2 + i. Which is the closest to -2? (a) 5 (b) 0.3 (c) d
c
Suppose -x + 3*z = 3*x + 4, 0 = 4*x - 2*z + 4. Let p = -3.97 - -4. Let h = p + -0.43. Which is the closest to x? (a) 0.1 (b) -5/2 (c) h
c
Let y = 3.7 - 0.6. Let r = -3 + y. Let d = -0.138 + 0.038. Which is the closest to r? (a) d (b) 0.5 (c) -2/11
a
Let h = -3 + 3.1. Let p = -12 + 11. Which is the nearest to -1? (a) h (b) p (c) 0.3
b
Let r = -0.35 + 0.05. Suppose 0 = u + 7*n - 2*n - 39, 0 = 2*u + 3*n - 43. Let x = u - 9. Which is the nearest to 0.1? (a) x (b) r (c) 1
b
Let l(t) = t**2 + 2*t - 3. Let q be l(0). Which is the nearest to -4? (a) -4 (b) -4/7 (c) q
a
Let k = 3 + 12. Let s = k - 19. Which is the closest to -1/4? (a) -2/3 (b) s (c) -0.5
c
Suppose 4*g - 6 = 2*v - 24, -g + 4*v - 8 = 0. Let z = -1 - -0.9. Which is the nearest to 1/2? (a) z (b) g (c) -1/2
a
Let k = 13 + -16. What is the closest to 6 in k, -3/2, -1?
-1
Let c = 4/147 + 719/588. Let b be -1 - (-8)/(-28) - -1. What is the nearest to -1 in 2, c, b?
b
Let n be ((-8)/(-6))/((-30)/(-9)). Let t = -10 - -15. What is the nearest to n in -1/8, t, 0.4?
0.4
Let q = 88 + -443/5. Let z = 3.1 + -3. Which is the nearest to 0? (a) q (b) z (c) 1/8
b
Let n = 3 + -2.6. Let x = 0.05 - 0. Let o = 1.95 + x. What is the closest to -0.1 in n, o, 2/9?
2/9
Let m = -1.023 + 0.023. Let l be ((-3)/6)/(2/(-2)). What is the closest to l in 1, m, -0.5?
1
Let s = 2 + -8. Let z = -1/6 - -5/6. Which is the closest to z? (a) s (b) -1 (c) -5
b
Let s = 4.08 - 0.08. Let v = s + -7. Let m = -6.4 - -6. Which is the closest to -0.1? (a) v (b) 5 (c) m
c
Let g = 12 - 8.9. Let r = -3 + g. Let o = r - -0.4. What is the closest to -0.1 in -5/3, o, 3?
o
Suppose -8*q + 9*q = 3. Let d be 3 + (-1 + -2)/q. Let s = -1/6 - 1/6. Which is the nearest to -2/5? (a) s (b) 0.2 (c) d
a
Let s = -13 + 9. Let f = 5 + s. Which is the closest to f? (a) -2/3 (b) -4 (c) 3
a
Let s = 9 + -8.6. Let p = 1/42 + -23/84. Which is the nearest to p? (a) -3/5 (b) s (c) 0
c
Let n = 7/6 + -4/3. Which is the closest to -2? (a) n (b) -2/7 (c) -0.2
b
Let f be (-10)/3 - ((0 - 0) + -3). Let z = 0.1 + 0. Let b be 2/(-6)*45/(-20). What is the nearest to f in b, z, 2/11?
z
Let z = 4 - 6. What is the nearest to z in -2/7, 3/2, 3?
-2/7
Let m = -47/2 + 26. What is the nearest to 0 in -4/9, 2, m?
-4/9
Suppose 2*v - 4*h + 37 = 11, v + 3*h = 12. Let s be v - 2*44/(-24). What is the closest to s in -2, 2, 0.3?
0.3
Suppose 0 = 2*n - n. Suppose -3*j - 308 = j. Let d be 3/(-1) + j/(-28). Which is the closest to d? (a) -1/7 (b) -2/9 (c) n
b
Let p = 0.61 + 2.39. What is the closest to 1 in p, 5, 1/3?
1/3
Let p = 0.316 - 0.016. Let z be ((-2)/(-3))/(25/3). What is the nearest to 0 in 2, p, z?
z
Let k = -1.99 - 0.01. Let x be 2/22 + 2 + -2. Which is the closest to 1/2? (a) 5 (b) k (c) x
c
Let p = 3 + -1. Let u(y) = -10*y - 64. Let m be u(-6). What is the nearest to -2/3 in m, -0.2, p?
-0.2
Let o = -0.31 - -0.11. Let m = -10.5 + 10. What is the nearest to o in 3/4, m, 5?
m
Let u = -3.8 + 0.8. Which is the closest to 9? (a) u (b) -2 (c) 1
c
Let n = -4.4 - -4.1. Which is the nearest to 1? (a) n (b) -0.1 (c) -3
b
Let l = -8.9 - -9. What is the closest to -0.1 in l, -1/4, 2/9?
-1/4
Let h(m) = -m**3 + m**2 + m + 2. Let y be h(0). Let l = -0.04 - -0.14. Which is the nearest to l? (a) 0.4 (b) y (c) -4
a
Let n = 6 + -6. Suppose h - 3*h - 4 = n. What is the nearest to 0.1 in -4, h, -5?
h
Let k = 2341/244644 - 2/2109. Let d = -63/580 + k. What is the closest to 2 in d, 1/3, -2?
1/3
Suppose -3*l = -10*l - 7. Let y(t) = t**3 - 5*t**2 + 1. Let w be y(5). Let o(n) = -n - 3. Let d be o(-7). Which is the closest to w? (a) -1/5 (b) d (c) l
a
Let f = 27.37 + -27.4. Let p be (6/8)/(1/(-4)). What is the nearest to f in -2, p, -4?
-2
Let a = -56 + 53. What is the closest to 1/5 in 2/3, a, 2/11?
2/11
Let g = -0.238 + 0.138. What is the nearest to g in -1/8, 0, -2?
-1/8
Let m = -6 + 5. Let u be m*(-3)/(-3*1). Let f be 12/(-26)*u/3. What is the closest to 0.1 in 2, f, 1?
f
Let q = -0.43 - 0.07. What is the nearest to -1 in -5, 1, q?
q
Let g = 3.9 - 4. Which is the closest to -2/7? (a) -1/4 (b) -0.01 (c) g
a
Let q be (-3)/1 + (-98)/(-35). Let n = -0.5 - -0.4. Which is the closest to n? (a) q (b) 4 (c) 5/6
a
Let f = 46 - 43. What is the closest to -0.4 in -1, f, 0.4?
-1
Let i = -1 - 2. Let t = i + 2.9. Which is the closest to t? (a) -1 (b) 0.5 (c) -5
b
Suppose 4*m = 2*m - 2. Let d = 4.1 + -4. Let r = 0.1 - d. What is the closest to m in 0.1, r, -1?
-1
Suppose -h - 3*n + 23 = 0, 5*n + 77 - 2 = 4*h. Suppose 3*z = -o - h, z - 2*z - 25 = 4*o. Let l = 245/4 - 61. Which is the closest to 0? (a) l (b) z (c) -0.1
c
Let s = -52 + 51.8. What is the nearest to 1 in 4, 0.1, s?
0.1
Let p(y) = -1 + y**2 - 4 + 5*y + 1. Let g be p(-6). Let s = 2.9 - 3. What is the closest to s in 4, g, -2?
-2
Let h be (22/8 + -2)/(36/96). Which is the closest to h? (a) 3 (b) 5 (c) -0.2
a
Suppose 2*w + 3*w - 10 = 0. Let k = 0.1 + -0.2. Which is the closest to -1/2? (a) k (b) 4/3 (c) w
a
Let v = 24 + -23.8. Which is the closest to v? (a) -1/8 (b) 1 (c) -1
a
Let l = -1 + 1. Let n = 2.21 - 0.11. Let j = n - 0.1. Which is the nearest to -1/3? (a) j (b) -4 (c) l
c
Let y = 6 - 2. Let x = 32.5 - 32. Which is the closest to 1? (a) -2/9 (b) x (c) y
b
Let k = 222/679 - 4/97. Suppose -4 = -2*x + p, -2*p + 6*p = -8. Let m be (9/(-6))/(x*3). Which is the closest to k? (a) -1 (b) -2/9 (c) m
b
Let f = -11 - -10.9. Let j = -4 + 1. Which is the nearest to f? (a) j (b) -5/4 (c) 0
c
Let q be 4/((-32)/25) - -3. Let t = 10.3 - 11. Let v = 0.4 + t. Which is the nearest to 1? (a) 0.5 (b) v (c) q
a
Let d = 0 + 3. Let u = -29 - -59/2. Which is the closest to u? (a) d (b) 2/9 (c) 1
b
Let j = 0.03 + -0.07. Let x = j - -0.24. Which is the nearest to x? (a) -0.5 (b) -0.3 (c) -2/7
c
Let r = -2.4 - -3.4. Which is the nearest to 2? (a) r (b) -0.5 (c) -2
a
Let y = -0.299 - -0.099. What is the nearest to 0 in -4, y, 0.03?
0.03
Suppose -2*d - 2*d - 4 = 0. Let s = 0.006 - 2.006. What is the nearest to d in -5, 2, s?
s
Let o = 10 - 10.3. Which is the nearest to -2/7? (a) -2/7 (b) o (c) -2
a
Let q = -0.16 - -0.36. Which is the nearest to 1? (a) 4 (b) q (c) -2/5
b
Let m = -1 - 2. Let q = m + 2.6. Let l be (8 - 6)/(-3 - -2). Which is the closest to -2/5? (a) q (b) l (c) -0.3
a
Let q = 0.06 - -2.94. Let v = -19/90 + 2/45. What is the closest to 0 in q, v, 1/2?
v
Let f = -0.26 + 4.26. Let l = -7.9 - -8. Which is the nearest to 2? (a) 3 (b) l (c) f
a
Let k = 0.02 - -0.98. What is the nearest to k in 3/5, -5, 1?
1
Let d be ((-2)/(-3) + -1)/(0 + -1). What is the closest to d in -2, 4, -4?
-2
Let d = -9.1 + 9. What is the nearest to 2/7 in d, -0.4, -4?
d
Let x be ((-36)/(-27) + (-75)/54)*-2. What is the closest to -13 in -0.4, x, -0.3?
-0.4
Suppose -4*q + 0*x = -4*x + 32, -5*q = x + 40. Let f = q + 10. Suppose 5*t = 13 + 2. What is the nearest to -2/5 in -2/9, f, t?
-2/9
Let k = -68/129 + -6/43. Suppose -31 = -h + x, 0 = -h - x - 2*x + 35. Let o = h + -65/2. Which is the closest to k? (a) -4 (b) -0.3 (c) o
c
Let s = 3.4 + -1.8. Let d = s - 1.7. What is the closest to d in 2/23, 0.5, 2?
2/23
Let o be 6/(-5) - 2/(-2). Suppose 3*g = 5*g - 40. Suppose 0 = 5*w + 2*r - 33, 0 = -4*r - r + g. Which is the closest to -0.1? (a) 0.3 (b) o (c) w
b
Suppose -4*z + 0 = 3*i + 3, -3*i - 3 = 3*z. Let l = -10 + 11. Let g = 0.11 - 4.11. Which is the closest to -0.1? (a) z (b) g (c) l
a
Let j be (2 + -1)*(-166)/6. Let a = j + 27. Let h = -0.8 - -1. What is the closest to 0.2 in h, 3, a?
h
Let c = 12 + -15. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
= 103.6 + -104. Which is the nearest to 1? (a) -1 (b) n (c) q
c
Suppose -4*t - 10 = 6. Which is the closest to t? (a) -2/3 (b) -0.4 (c) -3/5
a
Let w = -0.3 - -3.3. Let o(j) = j**2 - j - 1. Let y be o(2). Which is the closest to -1? (a) 2 (b) w (c) y
c
Suppose -32 = -5*u + 23. Suppose -5*b = -15, 0*v + v + u = 3*b. Let s be v*(-1)/7*-1. What is the closest to s in 5, -2/3, 3?
-2/3
Let o = 7.9 + -8. Which is the closest to o? (a) 1/4 (b) 3 (c) 0.3
a
Let r = 38 + -42. Let t = 0.3 - -0.7. Which is the nearest to -0.1? (a) r (b) 0.4 (c) t
b
Let r = -10.2 - -5.2. Let u = 0.3 + -0.4. Which is the closest to u? (a) r (b) 6/11 (c) 0.5
c
Let k = -0.2 + -1.05. Let r = k + 1. Let i = -0.05 + r. Which is the closest to 0? (a) i (b) 0.1 (c) 0
c
Let w be 12*(3/(-2))/(-3). Let k be w/4*(-2)/1. Let q be 120/(-55) - (-1 - 1). What is the nearest to -0.1 in q, k, 2/13?
q
Let v = 2 + 4. Let x = -7.5 + v. Let u = -0.5 + x. Which is the closest to 1/2? (a) u (b) -3/8 (c) -0.5
b
Let v = 2 + -2. Let s = 82 + -82.4. Let j = -1 - -1. What is the closest to j in v, 0.3, s?
v
Let t = 3 + -7. Which is the closest to 1? (a) 0.3 (b) t (c) -2/21
a
Let f = 2 + -2.2. Let s be (-4)/(-6)*(-3)/9. Which is the closest to -1? (a) -1 (b) s (c) f
a
Suppose 0 = s + 4*s + 15. Which is the nearest to -2/3? (a) s (b) 0 (c) 0.5
b
Suppose 2*d = 2*a - 2*d - 16, 12 = 4*a - 4*d. What is the nearest to -2/7 in -0.6, a, 2?
-0.6
Suppose 3*h = 73 - 10. Let n be 1 + (-24)/h*1. What is the nearest to -0.2 in -0.4, -0.2, n?
-0.2
Let f = 19/170 - 1/85. Let q = 0.3 + -0.4. Which is the closest to 1/4? (a) f (b) -0.3 (c) q
a
Let q = 23.6 + -24.6. Let r = -1 + 5. What is the closest to -2/5 in q, -1/4, r?
-1/4
Let l = 0.74 + -9.54. Let y = l + 6.84. Let v = y + -0.04. Which is the closest to v? (a) 1/4 (b) 1/3 (c) 0.2
c
Let j = -0.45 - 0.55. Which is the closest to j? (a) -1 (b) -3 (c) 9
a
Let p be 1 - (2 - 15/17). Let z = -5 - -5.4. Let q = 4.6 + z. Which is the nearest to -1? (a) p (b) 1/3 (c) q
a
Let w = -4 + 4.4. Let p = w - 1. Let v = p + 0.3. What is the nearest to -0.1 in 3/4, 0.2, v?
v
Let g(r) = -r**2 + 4*r - 3. Let m be g(3). Suppose -10 = 5*n - m, n + 10 = 4*z. Let o be z - 1 - (-2)/(-8). Which is the nearest to -1? (a) 3 (b) o (c) -0.4
c
Suppose -5*m = -0*m. Suppose -5*u = -u + 16. Which is the closest to m? (a) -2/19 (b) 1 (c) u
a
Let n = -0.1 + 1.1. Let j = -4/69 + -37/552. Let u = 18.6 - 19. What is the nearest to 1 in j, u, n?
n
Let f = 0.29 + -0.09. Let i = 1 - 1.2. Let y = -4.2 - i. Which is the closest to -1? (a) y (b) 0.3 (c) f
c
Let g be 1/6 + (-3)/6. Let l = 3.1 - 3. What is the closest to l in g, 4, -3?
g
Let f = -61 - -63. Which is the closest to f? (a) 0.3 (b) 0.8 (c) 0
b
Let l(i) = -i - 5. Let k be l(5). Let q be (-144)/210 - 4/k. What is the nearest to q in -3/5, -0.4, -4?
-0.4
Let s = 9 - 9.5. Which is the nearest to 1? (a) -0.2 (b) s (c) -2/11
c
Let x = 4.5 + -0.5. Let p = -1 + 1. Let q = p - x. Which is the closest to -2? (a) q (b) 3 (c) 2
a
Let d be 18/(-16)*8/(-6). What is the nearest to -1 in -5, d, 1?
1
Let y = -146 + 151. Which is the nearest to 6.6? (a) -1 (b) -0.5 (c) y
c
Let i = -53/252 - 1/84. Which is the closest to i? (a) 3 (b) 2 (c) 4
b
Let f = -13 + 8. Let w(h) = h**2 - 14*h + 12. Let p be w(9). Let d = -65/2 - p. Which is the nearest to d? (a) 2 (b) -4 (c) f
a
Let h = 0 + 0.3. Let y = h - 0.8. Let z = -4 + 7. Which is the nearest to 1? (a) y (b) 5 (c) z
a
Let u = 2 - 2. Let t = 0.5 + u. Let d = -3.9 + 4. Which is the closest to d? (a) t (b) -4 (c) 5/3
a
Let l = -18 + 7. Let x = -6 - l. Let a be (-24)/(-494) + 2/(-13). What is the nearest to 2/7 in a, 2/3, x?
2/3
Let s = 7.2 - 7. Let f = 0.5 - s. Suppose 2*b - 3*m = -15, -5*b - 4*m = -0*m + 3. What is the nearest to 0.1 in f, b, 2/7?
2/7
Let s = 2.8 + -0.8. Which is the nearest to -0.1? (a) 4/3 (b) s (c) -1
c
Let l = -11 - -16. Which is the nearest to 1? (a) -5 (b) 9 (c) l
c
Let d = -163 + 162.5. Which is the nearest to 1/4? (a) 4 (b) d (c) 1.9
b
Let i = -5 + 7. Let w = -2.1 + 0.1. Which is the nearest to w? (a) i (b) -5 (c) -1
c
Suppose -29*v = -25*v + 12. Suppose -3*n - 5 = m, -3*n - 9 = m + 2*m. What is the closest to -2/5 in v, n, 0?
0
Let d be ((-4)/3 - -1)*1. Let j = 3 + -3.1. Let u = -1 + 1. What is the closest to j in u, -0.5, d?
u
Let o(y) = 6*y. Let b be o(1). Suppose 5*t + x - b = 0, -5*t + 2*x - x + 14 = 0. Suppose -t*a + 4*a - 6 = 0. What is the closest to 0 in 4/5, 5, a?
4/5
Let d be (8/(-10))/(12/(-10)). Let x = -3 + 4. Which is the nearest to x? (a) 4 (b) d (c) 0.4
b
Let p = -200 + 199.5. Which is the nearest to -2/15? (a) 3 (b) p (c) -5
b
Let p = 21 + -23. Which is the closest to p? (a) -1/11 (b) -0.3 (c) -0.5
c
Let j = 5 + -6. Let y = -11 + 9. Which is the closest to j? (a) -5 (b) 0.4 (c) y
c
Let i = -417 - -398.9. Let w = -18 - i. What is the nearest to w in 2, 4, 1/2?
1/2
Let c = 150 + -905/6. Let b = 283 - 5375/19. What is the closest to -0.1 in b, c, -0.4?
b
Let g = 0.48 + -0.68. Let h = -0.7 + -0.3. Which is the closest to h? (a) g (b) 0 (c) 3
a
Let u = 3.65 - -0.35. Which is the nearest to 2/7? (a) 0.5 (b) 2 (c) u
a
Let n = 0.14 + -1.14. What is the nearest to 0 in n, 2, 1/3?
1/3
Let q = 0.17 - -0.53. Let a = q + -0.4. Let p = -0.4 + 0.3. What is the nearest to p in a, -5, 1?
a
Let h = 189 + -184. What is the nearest to 1 in h, 4, 0.1?
0.1
Let v = -36 + 41. Let k = -4/9 - -10/9. What is the closest to k in v, 0.4, -2?
0.4
Let m = -0.3 + -0.2. Let n = 2.2 - 1.8. What is the closest to 1 in -2, n, m?
n
Let k = -0.1 - 0. Let q = 3.4 - 17.4. Let t = 9 + q. What is the closest to k in 4/3, 3, t?
4/3
Let g = -14 + 13.5. Which is the closest to 0? (a) -3/8 (b) -1/7 (c) g
b
Let x = 31/70 - -2/35. Let t = 7 - 3. Let g(h) = -h + 9. Let l be g(11). What is the closest to x in l, 1, t?
1
Let j = 3 - 2.99. Let b = j + 0.09. What is the nearest to b in -1/3, -0.1, 0.2?
0.2
Let a(v) = 3*v - 1. Let x be (-3*1)/((-3)/2). Suppose -5*q = -4*c - c - 25, -x*q - 5*c - 11 = 0. Let w be a(q). What is the nearest to -1 in -0.5, w, 2?
-0.5
Let v = 2.4 - 2. Let t = -40 - -39.9. Suppose -2*z = 2*z + 4*l + 16, 0 = -5*z + l - 14. What is the closest to t in z, v, -0.2?
-0.2
Let l = -3.2 + 1.2. Suppose -2*o + 4 = 2. Let j be o + (1 - (-4)/(-3)). What is the nearest to l in 0, 4, j?
0
Let i = 3 + -2. Which is the nearest to -1? (a) i (b) -2/7 (c) -2
b
Let t = -0.16 + -2.84. What is the closest to t in -0.1, 3, -4?
-4
Let c = -0.25 + 0.05. What is the closest to 1/2 in -2, c, -1?
c
Let u = -37 - -41.8. Let z = 5 - u. Let p = -6 + 11. Which is the nearest to 1? (a) z (b) p (c) 3
a
Let a = 0.34 + -0.04. What is the closest to -0.01 in a, -3, 0.2?
0.2
Let j = 7 - 8.8. Let x = j + 2.2. Which is the nearest to 2? (a) -0.1 (b) x (c) -5
b
Let q be (10/(-35))/(10/(-14)). Let o = 4.7 + -0.7. Which is the nearest to q? (a) -0.3 (b) -0.5 (c) o
a
Let j = -51 + 50. What is the closest to j in 0.1, -0.01, 0?
-0.01
Suppose 5*y + 3*x = 3, -7 + 4 = -3*x. Let k = -2.86 + -0.14. What is the closest to y in k, 0.4, 1?
0.4
Let k(g) = 2*g**2 - 5. Let n be k(0). What is the nearest to 7 in -0.1, -1/3, n?
-0.1
Let w = -5 - -1. Let c = -15 - -17. What is the nearest to 0.1 in w, c, -3?
c
Suppose -5*t - 15 = -5*l, -4*t = -2*t + 4. Let x be 10/(-3) + 4/(-18)*3. Let v = l - x. What is the nearest to 0.1 in -0.3, -0.5, v?
-0.3
Let b = 1.99 + 0.01. Let m = 29 - 59/2. What is the nearest to 0.1 in 3, b, m?
m
Let v(s) = s**3 - s**2 + s + 5. Let d be v(0). Let l = 5 - d. Let o = 4.04 + -0.04. What is the closest to l in -1/2, 1/4, o?
1/4
Let l = -15 + 14.7. Which is the closest to 10? (a) -3 (b) 2/11 (c) l
b
Let r(g) = -g**2 - 2*g + 17. Let n be r(-5). Let u be n/(-5) + (-1)/(-1). Which is the nearest to -0.1? (a) 2/3 (b) u (c) 0.2
c
Let x = -12.3 + 7.3. Which is the closest to 1? (a) 0.2 (b) x (c) 3/5
c
Let z = 4 - 3.99. Let f = -0.01 + z. Let u = -255 - -1025/4. What is the closest to f in -0.3, u, 0.4?
-0.3
Let y = -69 + 69.2. Which is the nearest to 1? (a) y (b) 1 (c) -3
b
Let v be -1*4/(-8) - (-9)/(-12). What is the nearest to v in -22, 0, 4?
0
Let x = -0.05 + 4.05. Let o = 2.6 + -3. What is the nearest to o i
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3.5. Let h = 40216 + -40213. Which is the closest to 0? (a) 0 (b) -2/19 (c) h (d) u
a
Let p = -33/175 + -6/25. Let w = 1.7648 + 0.2352. What is the closest to 0 in p, w, -1/2?
p
Let k(q) = -6*q + 1. Let o be k(3). Let j = o + 10. Let h = -77825/6 - -12971. Which is the nearest to 1? (a) -3 (b) j (c) h
c
Let d be (4 - 1)*(0 + (-20)/3 + 5). What is the closest to 2 in d, 1/4, 569?
1/4
Let j(n) = n**2 - 14*n - 3. Let a be j(14). Let c = 197329/18615 + -2/3723. Let h = 381/35 - c. What is the closest to 0.2 in a, 2/5, h?
h
Let m = 209.1 - 209.2. Which is the nearest to m? (a) 3 (b) 31/4 (c) 0.4
c
Let o be 7 - (1/3)/(8/(-576)*-2). Which is the nearest to -0.23? (a) -1/2 (b) -2/17 (c) o (d) -1.7
b
Let a = -4.24 - -209.16. Let p = 205 - a. What is the closest to 1 in 3, 0, p?
p
Let t(s) = 19*s + 25 - 1 + 38. Let j be t(-3). Which is the closest to -1? (a) -3/7 (b) j (c) 1
a
Suppose -18 + 4 = 7*g. Let d be (3/(-42))/(2/(6 - g)). Let o = 0.9 + -1.2. What is the closest to -1 in -8/3, o, d?
o
Let a = -2.191 - -1.991. Let g = 2/11 + -32/55. What is the closest to 0.4 in a, 0.6, g?
0.6
Suppose -4*h - 4*v = -0*v, 5*v = -2*h. Let z = -350 + 352. What is the closest to h in -1, -3/2, z?
-1
Let p = -14539 - -14510. What is the closest to -0.8 in -5, p, 1?
1
Let c = 10.1 + -13.1. Let j = -619.7 + 620. What is the closest to 1 in -0.3, j, 1, c?
1
Let y = 125.27 - 125.77. Which is the closest to -2/5? (a) y (b) 1268 (c) 2/3
a
Let n = 0.6191 - 0.4191. Which is the closest to 0.1? (a) -7 (b) 48/13 (c) -3/5 (d) n
d
Let y = 0.2709 + -0.2999. What is the closest to -1 in y, 1, 1/4?
y
Let a be (448/(-51))/(92/(-2)). Let c = 1/69 - a. Let u = -0.01458 - 4.98542. What is the closest to 0 in c, u, 0.1?
0.1
Let u = -0.2 + 3.2. Let r = -95984 - -95984. What is the nearest to 0.1 in r, u, 1?
r
Let i be (-60)/(-27) - 9 - 7/(-1). What is the closest to -2 in i, -0.4, 5, -2/79?
-0.4
Suppose -p + 334 = 2*u, 3*u + 4*p = 5*u - 334. Let m = 1505/9 - u. What is the nearest to 0.068 in m, 1, -2?
m
Let o be 7/(-280)*-5 + (-11)/56. Let t = 137 - 687/5. Let i = 19 - 16. What is the nearest to o in t, i, -1/2?
t
Let h = 4.1687 - 0.1737. Let c = 0.005 + h. What is the closest to 0.1 in c, 7, -4?
c
Suppose 10 = -5*k + 4*k - 2*o, -1 = -2*k - o. Let j = 25 - 18. Suppose -k*v = 15 - j. Which is the nearest to 7? (a) 4 (b) -1 (c) v
a
Let k = -0.04 + 2.04. Let v = 773/5 + -154. Let r = -0.3292 + -0.0708. What is the closest to v in r, k, -2/7?
-2/7
Let v = 0.01 - -2.89. Let w = 2.3 - v. Let o = 281 - 283. What is the closest to 2/7 in w, o, 4?
w
Let f = -5982575/219 + 27318. Let d = f - -2/73. Which is the nearest to -3/2? (a) 5 (b) d (c) -1/10
c
Let x = 1522.4 - 1521.9. What is the closest to 55 in 2, -3/5, 7, x?
7
Let k = 5186/3 - 2494472/1443. Which is the closest to -1/2? (a) 1 (b) 0.3 (c) -3 (d) k
d
Suppose -5*x + 6 + 29 = 0. Suppose 63 = 2*w + x*w. Let o = 0.6 + -0.1. Which is the closest to w? (a) o (b) -5/6 (c) 2
c
Let z = -1052.8 + 1052.88. Let v be (-2)/(-3)*9/(-15). What is the nearest to v in z, -1, -4, 2?
z
Let x = -1 + 0. Let q(p) = -2*p**2 - 5*p + 85. Let n be q(-8). Let h be n*(-2 + (-44)/(-12)). Which is the nearest to -16? (a) h (b) x (c) 0.4
a
Let a = -56.913 - -57.313. Let k = -0.6 + 0.3. What is the closest to a in 0.02, 0, k?
0.02
Let m = -5520.1 - -5520. What is the closest to 0 in -4, -25, m, -0.3?
m
Let q = 2.0639 + -2.0359. Which is the nearest to -0.2? (a) q (b) 12 (c) -0.2
c
Let v = 18.7965 - -0.2035. Let g = -0.22 + -17.78. Let k = g + v. Which is the closest to k? (a) -2/9 (b) 4 (c) 0
c
Let p = 13996 + -97974/7. Which is the closest to p? (a) 9/7 (b) -0.18 (c) 4
b
Let d = -1220.1 + 1220. Suppose -3*x + 0*x - 45 = 0. Let f be 2 - (48/x)/(-2). Which is the closest to d? (a) -2 (b) f (c) -0.1
c
Let z = -983 + 981.62. What is the nearest to 2/7 in -1, 0.1, z?
0.1
Let i = -1 - -9. Let t be (-1)/3*18/i. Let r(m) = 42*m + 843. Let d be r(-20). What is the nearest to 1 in t, d, -2?
t
Let n = -0.88 + -0.12. Let p = 0.075724 + -4.075724. Let g = 0.06 - 5.06. Which is the closest to p? (a) g (b) -0.3 (c) n
a
Let r = -0.125 - -110.325. Let y = -110 + r. Which is the nearest to y? (a) 0.4 (b) -6/11 (c) -0.3
a
Let f = -0.2 + -0.3. Suppose 29 = 6*z + 281. Let i be z/7 - (16/(-6) + -3). Which is the nearest to i? (a) f (b) 0.4 (c) -3
a
Let f = -4567 + 50239/11. Which is the nearest to 1? (a) -3 (b) f (c) 130
b
Let l = -5.62 + 5.52. Suppose 4*k = -19*p + 17*p + 2, -3*k - 3 = -3*p. Which is the closest to l? (a) 3/10 (b) -5 (c) k (d) -1/7
d
Let o be (-62)/(-186) + 13/(-3). Let s = 4.3 + -14. Let f = s + 10. What is the closest to 1/2 in f, -0.5, o?
f
Let v(m) = -m**3 - 8*m**2 - 4*m + 19. Suppose y - 5*y = 4*s + 24, 2*y + 26 = -4*s. Let r be v(s). Which is the nearest to 1/3? (a) 1 (b) -7 (c) r
a
Let y(q) = -2*q + 16. Let l be y(7). Let d(a) = 209 - a - 419 + 215. Let x be d(7). What is the closest to 2 in l, x, -4?
l
Let x = -2989 - -2989.063. What is the nearest to 1 in -2/5, 2/11, x?
2/11
Let j = -25635 - -25627. Let i = 1.2 - 1. Which is the nearest to -2? (a) -1 (b) 1/4 (c) j (d) i
a
Let c be (-39)/30 - 1/5. Let l = 0.17 - 0.17. Let r = -626/3 + 1876/9. What is the nearest to l in -2/5, r, c?
r
Let k be ((0 - 0) + -2)/(-5). Let d = -82 + 88.97. Let z = -7.07 + d. Which is the closest to k? (a) -0.4 (b) -1/3 (c) z
c
Let n = 18.8 - 18.748. Let f = 0.088 + n. Which is the nearest to -3/5? (a) f (b) -5 (c) 0
c
Let h = -0.67 - 282.33. Let r = h + 283. Let j be 1 - -1 - 3/2. Which is the closest to j? (a) 0.2 (b) r (c) 0.4
c
Let o = -5 + 3. Let v = 830 - 830.5. Which is the nearest to o? (a) v (b) -2/15 (c) 5
a
Let v = 282/5 + -56. Let n = -0.585 - -0.885. Which is the nearest to -6? (a) 5/2 (b) v (c) n
c
Let t be (1 + (-6)/8)/(-1). Let k = 0.2074 + -0.1174. Let g be 4*((-60)/(-56) - 1). What is the nearest to 0.1 in t, g, k?
k
Let g = -0.5363 + -1.4637. Let l = -6.3 + 6. What is the nearest to -2/7 in g, l, 4?
l
Let s = 0.026 + -0.01. Let n = -11.56 + 9. Let h = 3.06 + n. What is the closest to 1/2 in -0.3, h, s?
h
Let m = -2419 - -2419.4. Which is the closest to 274? (a) -2/9 (b) -1/10 (c) m
c
Let r = -1958/97 - -9887/485. Let y be (-14)/24 + 3/12. Which is the nearest to 1? (a) y (b) r (c) 0.54 (d) -2/3
c
Let h(q) = 20*q**2 - 278*q - 31. Let u be h(14). Which is the nearest to u? (a) 1 (b) -101 (c) 0.4 (d) 2/13
d
Let c = 49 - 48. Let q = 2 - c. Let u = 17 + -19. What is the nearest to q in 1, -1, u?
1
Let i = -1 + 0.8. Let q be (168/(-420))/(8/10). Which is the nearest to q? (a) 4 (b) i (c) 0.4
b
Let z(u) = -u + 10. Let v be z(9). Let w = -1.414 - 129.986. Let p = w + 131. Which is the nearest to v? (a) -0.3 (b) -1/2 (c) p
a
Let r = 2402 + -2391.89. Let q = r - 9.7. Let p = 1.41 - q. Which is the closest to p? (a) -0.3 (b) 2/11 (c) 3/8
c
Let w be 6/(-15) + -1 + 18/20. Let d = -10.5 + 11. Which is the nearest to w? (a) -2/5 (b) d (c) 4/5
a
Let x = 4477/6 + -20519/30. Suppose b = -2*r - 123, -4*b - 28 - 216 = 4*r. Let j = x + r. What is the closest to 0 in j, 6, 4?
j
Let l = 508/18565 - -6/395. Which is the closest to 2? (a) l (b) 5 (c) 0.3 (d) -0.27
c
Let x = 5190 - 5189. Which is the closest to x? (a) -2/13 (b) 0.2 (c) 4 (d) -6
b
Let u = -0.40081 + 0.60081. Which is the closest to 4? (a) 0.39 (b) 1/3 (c) u (d) -0.4
a
Let h be (0 - 2/4)/(-1). Let d = -128427 + 128425. What is the nearest to h in 1/2, 4, d, -0.4?
1/2
Suppose -5*f = 10, -3*f + 1 + 5 = 3*c. Let j = 17 - 3. Let h = j + -7. What is the nearest to 1/4 in h, c, -1?
-1
Let z = -0.5871 - -0.8871. Which is the closest to 0? (a) -3 (b) 4 (c) z (d) -2/3
c
Let p = 0.1 - 0. Let k = 204.9 + -242. Let f = k + 37.2. What is the closest to p in -2/9, -1, f?
f
Let o = -283 - -293.64. Let l = -6.64 + o. What is the nearest to 0 in 3, 0.4, 5, l?
0.4
Let t = 6922.3 + -6923. Let h = 277/5 - 55. What is the nearest to h in -0.4, t, -4?
-0.4
Let v = 0.412 - 0.362. Which is the closest to -2? (a) -0.1 (b) 2/63 (c) v
a
Let g = 3.94 - -0.06. Let q = 278 - 264.1. Let b = q + -10.9. What is the closest to 2 in b, -4, g?
b
Let j be ((-10)/555)/((-22)/33). Let y = 217/185 + j. Which is the nearest to y? (a) -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 10, -3*a + 3 - 5 = 2*z. Suppose -290 = -3*h - 269. Suppose h*m - 955 = z*m. What are the prime factors of m?
191
Suppose -5*o + 2*o + 162 = 0. Let k(i) = -3*i**2 - 10*i - 11. Let s be k(-5). Let c = s + o. What are the prime factors of c?
2, 3
Let c(r) = -r + 13*r**2 + 12*r**2 + 3*r + 5*r + 23. List the prime factors of c(-4).
5, 79
Let s be (1 + (-18)/4)*-4. Suppose s*d = 4877 + 3495. List the prime factors of d.
2, 13, 23
Let c = 12222 - 7094. List the prime factors of c.
2, 641
Suppose x - 1999 = -b + 1628, -x = -b + 3617. List the prime factors of b.
2, 1811
Suppose -3150 = 10*g + 5*g. List the prime factors of 1/(69/g + (-14)/(-35)).
2, 7
Let i = 2035 - -10596. List the prime factors of i.
17, 743
Suppose 5*b - 5864 = 5*m + 656, 0 = 4*b + 5*m - 5162. List the prime factors of b.
2, 11, 59
Suppose 5*s + 34*x - 38*x - 10260 = 0, -5*x = -4*s + 8199. List the prime factors of s.
2, 257
List the prime factors of (-27)/(((-64)/6692)/16).
3, 7, 239
Let i(q) = -3029*q + 40. Let b be i(14). What are the prime factors of (-2*3/(-36))/((-23)/b)?
307
Suppose -24 = 1775*n - 1778*n, -2*o - 5*n = -31220. List the prime factors of o.
2, 5, 1559
Let m = 47876 - 28386. What are the prime factors of m?
2, 5, 1949
Let z be (-1)/(2 + 135/(-65)). Suppose -8*q = -z*q + 170. Suppose -q*s + 36*s - 126 = 0. What are the prime factors of s?
3, 7
Let k = 644 + -642. Let g(u) = 200*u**3 + 5*u**2 - 2*u - 1. What are the prime factors of g(k)?
5, 17, 19
Let d = 45 - 57. What are the prime factors of (d/(-14))/(17/714)?
2, 3
Let n(m) be the first derivative of 3*m**4/4 + m**3 + m**2 + 6*m + 178. Let i = 5 - 2. List the prime factors of n(i).
2, 3, 5
Suppose -3*s + 4470 = -2*x + x, 0 = -4*s + 4*x + 5960. Suppose -5*m + s = 2*v, -2*v + 1502 = 2*m - 3*m. Let g = -503 + v. What are the prime factors of g?
13, 19
What are the prime factors of ((-2)/8*-213)/(-19 + (-305240)/(-16064))?
2, 71, 251
Let u = -64 + 67. Let c(h) = -6*h**2 + 6*h - 7. Let w be c(u). Let z = 188 + w. List the prime factors of z.
5, 29
Suppose 2*s = -4*t + 7899 + 10473, 3*t = -2*s + 18374. What are the prime factors of s?
2, 5, 919
List the prime factors of (-143 + 245)/((-4)/10 + 2078/5120).
2, 17
Let x(a) = -a**2 + 2*a + 3. Let r be x(3). Suppose 12 = -4*p - r*p. List the prime factors of (-2 + 1)/(p*(-5)/(-1845)).
3, 41
What are the prime factors of 249568/616*7/2?
2, 709
Let v be (267/6)/(20/(-360)). Let n = -432 - v. What are the prime factors of n?
3, 41
Let r(j) = j**3 - j**2 + 2*j - 3. Let n be r(0). Let t(b) = 6*b**2 - b - 2. Let i be t(n). Suppose a = -0*a + i. What are the prime factors of a?
5, 11
Let v(m) = -7 - 35 - 20*m + 0. Let n be v(-5). Let b = 187 - n. What are the prime factors of b?
3, 43
Suppose 10*j = -68*j + 431028. What are the prime factors of j?
2, 3, 307
Suppose 5*x = d - 0*d - 11, 5*x + 5 = 0. Suppose -d*c = -14 + 68. Let j(a) = -18*a - 8. What are the prime factors of j(c)?
2, 7, 11
Let p(m) = -m**2 + 9*m - 17. Let b be p(6). Let i(g) = 15*g**2 + 3*g - 4. Let v be i(b). Suppose v*k = 13*k + 120. What are the prime factors of k?
2, 3, 5
Let n(w) = -w**3 + 8*w**2 + 3*w + 11. Let j be -24*((-1)/3 + -3 + 3). Let p be n(j). Let i = p - -8. List the prime factors of i.
43
Suppose 0 = 12*u + 5*u - 102. Suppose -29*i - u*i = -910. What are the prime factors of i?
2, 13
Let j = 16827 + 2846. What are the prime factors of j?
103, 191
Suppose g - 4*g + 9 = 3*n, -4*g = -4*n + 28. Suppose f - 14*c = -15*c + 1590, -4*f + 4*c + 6360 = 0. List the prime factors of (3/9)/(n/f).
2, 53
Suppose -3*r + 8*r - 3490 = -2*f, r - 681 = 3*f. Let t = 1416 - r. What are the prime factors of t?
2, 3, 5
Let c(t) = 2887*t - 12. What are the prime factors of c(4)?
2, 7, 103
Let x = 85 - 78. Suppose -13*t + x*t = -1302. List the prime factors of t.
7, 31
Suppose -3*x + 12 = 2*b - 3*b, -4*b - 12 = -3*x. Suppose -x*t = 13*t - 10931. What are the prime factors of t?
643
Suppose 2*x = 2*v + 64794, 10*x = 12*x - 25*v - 64794. List the prime factors of x.
3, 10799
Let v be (28/126 - 6620/(-18)) + -2. Suppose 2*b = -b + v. List the prime factors of b.
2, 61
Let t(a) = -6*a**3 - 3*a**2 + 2*a + 4. Let f be t(-1). Suppose 0 = -2*s + 4*q - 9*q + 639, 0 = -f*s - 4*q + 1640. What are the prime factors of s?
2, 83
List the prime factors of (-39889108)/(-5439) - (-2)/21.
2, 19, 193
Suppose -9*m = -15650 - 6517. What are the prime factors of m?
3, 821
What are the prime factors of (-103 + 5)*-1*(-2248)/(-16)?
7, 281
Let a = 38 - 38. Suppose -2*o - 2 = -4*n, -3*n + 5*o - 11 + 2 = a. Suppose 0 = n*c + c - 213. What are the prime factors of c?
71
Let h = -5141 + 8031. What are the prime factors of h?
2, 5, 17
Let k = 4007 + -583. List the prime factors of k.
2, 107
Let k(d) = d**3 - 7*d**2 - 7*d - 6. Let v be k(8). Suppose 2 = r + v*s - 0*s, s + 4 = 2*r. List the prime factors of 4 - ((-64)/r - 0).
2, 3
Let y(a) = -11486*a - 546. Let p be y(-6). Suppose 26*w = 69*w - p. List the prime factors of w.
2, 3, 5, 53
Suppose 50 + 25 = -5*w. Let n(k) = k**2 + 14*k + 21. Let d be n(w). Suppose q - 2*s - d = 43, -3*s - 228 = -3*q. What are the prime factors of q?
73
Let a be 28/(-3)*(-16)/((-320)/(-30)). Let f(h) = 4*h**2 + 21*h + 31. What are the prime factors of f(a)?
1109
Let x = -87 - -93. Suppose 0 = -2*t - 4*l + 56, 2*l = -x*t + 3*t + 68. List the prime factors of t.
2, 5
List the prime factors of (15/3)/((-15)/(-75942)).
2, 3, 4219
Let u be 7/((-14)/(-4)) - (-2 + 0). Suppose j - 1607 = -u*q, -2006 = -2*q - 3*q - 4*j. List the prime factors of q.
2, 3, 67
Suppose 1713 = 3*r + 5*t, -3*r - t + 1701 = -0*t. Let i = -215 + r. What are the prime factors of i?
3, 13
Suppose -20*l + 317600 = 30*l. What are the prime factors of l?
2, 397
Suppose -5*y - 7442 = -2*b, -4*y + 11209 = 471*b - 468*b. List the prime factors of b.
7, 13, 41
What are the prime factors of (-1)/(-24) + (-1949852)/(-96)?
19, 1069
Let i(q) = 90*q - 178. Let b be i(5). Let n = 769 + b. List the prime factors of n.
3, 347
Let o(y) = -11122*y + 8295. List the prime factors of o(-4).
52783
Suppose 3*t + 2*z = 45766, -2*t + z = -564 - 29949. What are the prime factors of t?
2, 1907
Let p(h) = 23*h**2 - 144*h + 63. What are the prime factors of p(32)?
83, 229
Let q(a) = -1075*a + 2407. What are the prime factors of q(-14)?
3, 11, 23
Suppose -38*m + 0*m + 9*m = -142361. What are the prime factors of m?
4909
Suppose -10*j = -6*j - 3*a - 302, 4*a = 3*j - 230. Let l = j - 190. List the prime factors of l/(-36) + -3 + (-248)/(-18).
2, 7
Let g be 37 - 7/((-21)/3). Suppose -f + 4836 = g*f. What are the prime factors of f?
2, 31
Let s be (5 + -6 - 1)*-114. Suppose 687 = 3*j - s. List the prime factors of j.
5, 61
Let s(u) = 521*u - 2731. What are the prime factors of s(121)?
2, 5, 37, 163
List the prime factors of (3203/(-15))/(27/(-405)).
3203
Let j = 7510 + 5847. What are the prime factors of j?
19, 37
Let s(h) = 2*h**3 - 5*h**2 + 3*h - 27. Let k be s(4). Suppose 40*i - k*i = 1561. List the prime factors of i.
223
Let n be ((-447)/3*1)/1. Suppose 31*b - 667 = 9842. Let j = n + b. What are the prime factors of j?
2, 5, 19
Let v(q) = q**3 + 20*q**2 - 24*q + 3. Let t(c) = 5*c + 9. Let m be t(-4). Let f be 229/m + (-2)/11. What are the prime factors of v(f)?
2, 3, 11
What are the prime factors of (-55041)/28*(-28)/(-63)*-2*3?
2, 2621
Let d = 10392 + 1033. What are the prime factors of d?
5, 457
Suppose 2*k - 95 = -2*v + 73, -242 = -3*k - v. List the prime factors of k.
79
Let m = 1624 - 342. Let n = m - 582. List the prime factors of n.
2, 5, 7
Suppose -3*m - 7*h + 879 = -10*h, 1148 = 4*m + 4*h. Let a = -198 + m. List the prime factors of a.
2, 23
Let f = 469 + -468. List the prime factors of 9 + (482 - (4 - f)).
2, 61
Let q = -65562 - -105794. List the prime factors of q.
2, 47, 107
Suppose 3*o = -o - 3*l + 41, -3*o - 5*l + 39 = 0. What are the prime factors of (-4 + 0)/(o/(-1536))?
2, 3
Let r be (-192)/16 - -2*3. List the prime factors of (-2)/4*5*12/r.
5
Suppose 13*q = 11*q - 360. Let y = q + 831. What are the prime factors of y?
3, 7, 31
Let b(j) = j**3 + 22*j**2 + j - 17. Suppose -10 + 30 = -2*r. What are the prime factors of b(r)?
3, 17, 23
Suppose 0 = -3*k - 3*k - 12. What are the prime factors of (-412)/k*(10 + (-40)/5)?
2, 103
Let t = 15 + -13. Suppose i = -t*i - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
300)*1*-6 - (-3 + 1 + sqrt(300))))*-4)**2 + 1.
4480*sqrt(3) + 235267
Simplify (5*3*sqrt(130) - sqrt(130) - (sqrt(130) + (sqrt(130) - sqrt(130)*-3)*5))/(6*sqrt(10)*3 - sqrt(10) - (sqrt(20)/(sqrt(12)/sqrt(6)) - sqrt(10))).
-7*sqrt(13)/17
Simplify (2*sqrt(70)*-4 - (sqrt(70) - 1*sqrt(70))*4)/(-2*(sqrt(360) + sqrt(360)*2))*2 + 5.
4*sqrt(7)/9 + 5
Simplify 5*(3*sqrt(1152)*3 - sqrt(1152))**2*-6*-1.
2211840
Simplify (((2*sqrt(125) - sqrt(125)) + sqrt(125) - sqrt(45)/sqrt(144)) + -2*(4 + sqrt(405)*-1))**2*-2.
-62629/8 + 888*sqrt(5)
Simplify (((2 + sqrt(252))**2 - sqrt(252)) + 2)*-2*2 - (4*sqrt(252) + -5 - (sqrt(252)*2 + -3)**2).
-168*sqrt(7) - 10
Simplify -4 + 4*6*(2*sqrt(891) + sqrt(891) + (sqrt(99) + -2 + sqrt(99))**2 + 5)*4.
288*sqrt(11) + 38876
Simplify (2*(0 + sqrt(847) + 1 - (-2 + (-3 + sqrt(847) - sqrt(847))))*-6)**2*6.
114048*sqrt(7) + 762912
Simplify 5*-6*(sqrt(440)/(((sqrt(72)*4 - sqrt(72)) + sqrt(72))/sqrt(9)))/(-3*sqrt(1100)*5).
sqrt(5)/20
Simplify ((0 + (-4*(sqrt(396) - (sqrt(396) - sqrt(396)*2)) - sqrt(396))*4 + -5 + 2 + (sqrt(396) + 0 - sqrt(396)) + -1)*-6)**2.
62208*sqrt(11) + 18476352
Simplify (-4*(-5 + -4 + sqrt(343) + 3 + sqrt(343) + (-2 + sqrt(343) - sqrt(343))*2)*-5)**2.
-112000*sqrt(7) + 588800
Simplify -6*((-1*(0 + sqrt(288)) - ((2 + sqrt(288) + sqrt(288) - sqrt(288)) + 4 + sqrt(288))) + 2 + -2)*2.
72 + 432*sqrt(2)
Simplify -3*(((6*sqrt(1620) - sqrt(1620))/sqrt(9))**2 + (sqrt(5)*-6*-5 + 4)**2) + -1.
-27049 - 720*sqrt(5)
Simplify ((sqrt(242) - -3*sqrt(242)*-2 - (2 + sqrt(242) + -2)) + ((sqrt(242) - ((sqrt(242) + -1)*1 + sqrt(242))) + 1)*4)**2.
-1760*sqrt(2) + 24264
Simplify 3*-1*(((sqrt(637) + -6*(2 + sqrt(637)))*4)**2 - (5 + sqrt(637) + (sqrt(637) + -1 + sqrt(637))*3)**2).
-677661 - 39732*sqrt(13)
Simplify ((4 + (-5 + sqrt(1300) + -1 + sqrt(1300) - (-1 + sqrt(1300) + 2)) + (0 + sqrt(1300) + -2 - sqrt(1300))*-6)*-5)**2.
4500*sqrt(13) + 34525
Simplify (-3 + sqrt(33)/(sqrt(3) + sqrt(243)*-6) + sqrt(11) + sqrt(77)/(sqrt(7)*-1) + -2*sqrt(11) + -1)*1.
-107*sqrt(11)/53 - 4
Simplify ((sqrt(432) - ((sqrt(432) - 5*-1*sqrt(432) - sqrt(432)) + sqrt(432)))*1)/(1*sqrt(294)*-1 + sqrt(294) - -4*((sqrt(294)*1 - sqrt(294)) + sqrt(294))).
-15*sqrt(2)/14
Simplify (2*sqrt(972)*-6*5)/((sqrt(72) + 6*1*sqrt(72))/(sqrt(96)/(sqrt(108) - sqrt(12)))).
-180*sqrt(3)/7
Simplify 4*(-3*(sqrt(180) - 3*sqrt(180))*5)**2 - (2*(sqrt(180) + -1) + (sqrt(180) + -2 + sqrt(180) + 2)**2 + -3).
-12*sqrt(5) + 647285
Simplify 5 + (2 + sqrt(405) + 3 - (sqrt(405) + (sqrt(405)*2 - sqrt(405)) + -1) - ((sqrt(405) + -2 + 2 + sqrt(405))**2 + sqrt(405) + sqrt(405)*-1*3)) + -2.
-1611 + 9*sqrt(5)
Simplify -6*((sqrt(425) - ((-1 + sqrt(425))*-2 - sqrt(425)) - sqrt(425)*-2*5 - (-4*(sqrt(425) + -3) + 0))*-2)**2.
-3309504 + 60480*sqrt(17)
Simplify ((-4 + (sqrt(200) + sqrt(200)*-2*-2 - (-5 + sqrt(200) + 0 + sqrt(200))) + 2*2*sqrt(200) + -2*sqrt(200)*2 + -3)*6)**2.
-4320*sqrt(2) + 64944
Simplify (-2*(2 + (sqrt(2299)*-2*1 + sqrt(2299) - (2*sqrt(2299) + 4 + sqrt(2299)))*-1 + 5))**2.
3872*sqrt(19) + 147620
Simplify 4*((sqrt(1872)*-3 + -1)*6 + (1 + (sqrt(1872) - (2 + sqrt(1872))) - (sqrt(1872) - (-3 + (sqrt(1872) + sqrt(1872)*1 - sqrt(1872))))))**2.
17280*sqrt(13) + 2426512
Simplify -3*((-5*(2 + sqrt(567) + 5 + sqrt(567)) + 5*(0 + sqrt(567)) + -3)**2 + 5).
-46872 - 10260*sqrt(7)
Simplify -6*((-4 + 0 + sqrt(1573)*2)*5 + 4)*2.
-1320*sqrt(13) + 192
Simplify (-6*(sqrt(171) - sqrt(171)*2) + 0 + sqrt(342)/sqrt(2) + (sqrt(114) - (sqrt(114) + sqrt(114)*-1*6))/((sqrt(60)*4)/sqrt(10)))**2.
38475/4
Simplify 4 + (6*sqrt(2160)*2)/(-3*sqrt(20)/sqrt(4) + (sqrt(120)/sqrt(3))/sqrt(8)).
-72*sqrt(3) + 4
Simplify 3 + (-5*(-3 + sqrt(5)*-2 + sqrt(45)*-4))**2 + (5 + (-1*sqrt(405))**2)*-2 + 5.
2100*sqrt(5) + 23913
Simplify ((-4*(sqrt(170) - sqrt(170)*1)*-4*5)/(sqrt(1440)*-2 - sqrt(40)*3))**2.
0
Simplify ((1*(sqrt(495) + (sqrt(495)*-1 - sqrt(495)) + sqrt(495)))/(sqrt(99)*-1))/((-1*sqrt(36)*-1)/(1*sqrt(64))).
0
Simplify (-1*(sqrt(91)*-4 + sqrt(91)) - (3*sqrt(91) - sqrt(91))*-4)/((2*sqrt(700))/(sqrt(28)/(sqrt(63) + sqrt(7)))).
11*sqrt(13)/40
Simplify (1 + -3 + sqrt(700) + 0)**2 + 0 + -2 + (sqrt(700) + -2 - sqrt(700)) + 5.
-40*sqrt(7) + 705
Simplify (1 + sqrt(245) + 1 + sqrt(245) + -2*sqrt(245) + sqrt(245) + sqrt(245) + 0)*4 + 5 + sqrt(405)*-2*-6 + 1.
14 + 164*sqrt(5)
Simplify (sqrt(204) + (sqrt(204) - ((sqrt(204) + sqrt(204)*-1 - sqrt(204))*3 - sqrt(204))))/sqrt(12)*4 - (0 + -2 + sqrt(3264)/sqrt(3)).
2 + 16*sqrt(17)
Simplify -3 + (5*(sqrt(1216) - (sqrt(1216) + sqrt(1216) + -1)**2)*-6 - (2 + (1*(sqrt(19) - sqrt(133)/sqrt(28)))**2)).
-1200*sqrt(19) + 583761/4
Simplify ((sqrt(125) + 0 + sqrt(125))*6 - (sqrt(125) + (-3 + sqrt(125) + 1 + sqrt(125) - sqrt(125))))**2 - (3*sqrt(125)*6 - (1 + sqrt(125) + 4))**2.
-23646 + 1050*sqrt(5)
Simplify (-3*(0 + sqrt(567))*3 + -4 + 3*(-1 + sqrt(21)/sqrt(3) + sqrt(35)/(sqrt(20)/sqrt(4)) + 4))**2.
-750*sqrt(7) + 39400
Simplify ((6*(sqrt(5) + sqrt(320) + (sqrt(320) + 1 - sqrt(320)))*-4 + ((sqrt(30)*-1)/sqrt(6) - (-1 + sqrt(320))) + 5)*-1)**2*4.
32400*sqrt(5) + 1013796
Simplify (-3 + sqrt(34)/sqrt(32) + sqrt(1377)*-2 + sqrt(1377) - (-4*sqrt(102)/sqrt(3) + sqrt(34))/(sqrt(882) - sqrt(2)))**2.
258*sqrt(17)/5 + 31658/25
Simplify (-3 + sqrt(275))*1 - sqrt(275)*2*-2 - -6*(((sqrt(275) + -1)*4 - sqrt(275))**2 + (-5 + 0 + sqrt(275))**2 + sqrt(275)).
-965*sqrt(11) + 16743
Simplify 4 + (2*sqrt(429)/(sqrt(176)/sqrt(4)))/((1*sqrt(1080))/sqrt(10)*-3).
-sqrt(13)/18 + 4
Simplify -6*(5 + (sqrt(1573) + 4*sqrt(1573)*-1)**2 + (-2 + (sqrt(195)/sqrt(5))/sqrt(3))**2)*-2.
-48*sqrt(13) + 170148
Simplify (((sqrt(2200) - (2*sqrt(2200) + sqrt(2200))) + sqrt(88)/sqrt(16))/(1*sqrt(1100) + sqrt(11)*-2*-3 + sqrt(11)) + -4)**2*-3 + 1.
-31729/578 - 468*sqrt(2)/17
Simplify (sqrt(18)*2)**2 - (sqrt(8)/sqrt(484))**2 - (((sqrt(288))**2 - sqrt(2))*-3 - ((-3 + sqrt(98))**2 - sqrt(2))).
-46*sqrt(2) + 126201/121
Simplify (-4*1*-3*sqrt(204)*2)/(sqrt(588)*2*-6 + 5*(2*sqrt(588) - sqrt(588))).
-24*sqrt(17)/49
Simplify (sqrt(18) + 0)**2 + sqrt(8) + sqrt(2) + 4 + -5 + (-4*(-1 + sqrt(18) + 0))**2.
-93*sqrt(2) + 321
Simplify (((-1 + sqrt(99))*1)**2 + 5 + -5)*-1 + 1 + -2.
-101 + 6*sqrt(11)
Simplify ((sqrt(70) + 4*(sqrt(70) + 2*sqrt(70)))/(-1*sqrt(640)) + 1 + 1 + sqrt(1008) + sqrt(1008) + sqrt(1008) + 0)**2.
275*sqrt(7)/2 + 529631/64
Simplify -4*(1*(-4 + (0 + sqrt(176))*-5 + 1*(0 + sqrt(176)) + 0))**2*2.
-22656 - 1024*sqrt(11)
Simplify (-3*(-4 + 1*sqrt(1539) + sqrt(1539)) - (0 + sqrt(1539))*6*1)**2 + -3.
-2592*sqrt(19) + 221757
Simplify ((sqrt(816) - (sqrt(816) - -1*sqrt(816)*-2)) + (sqrt(816) + sqrt(816)*1)*1)/((sqrt(750)*-4)/sqrt(10)*5).
-4*sqrt(17)/25
Simplify ((-1*sqrt(1275))/(sqrt(12)/sqrt(4)*-4) - (sqrt(612) + 1 + -1*sqrt(2057) + -4))**2.
75*sqrt(17)/2 + 10769/16
Simplify (-3*((sqrt(612) - (-2 + sqrt(612)))*4*-6)**2 - (-4 + -1*sqrt(612))*-2*2) + 0.
-6928 - 24*sqrt(17)
Simplify ((sqrt(18) + -2 - sqrt(2) - 3*(-4*sqrt(2) - sqrt(2))) + sqrt(160)/sqrt(5) + (sqrt(2) - (sqrt(98) + 3)))**2.
-150*sqrt(2) + 475
Simplify (-4 + (sqrt(76) - (sqrt(76)*-2 + 1)))**2 + -1*(-5 + (1 + sqrt(19))**2 - ((sqrt(209)*-1)/sqrt(11))**2).
-62*sqrt(19) + 713
Simplify ((sqrt(140)*-2 + sqrt(140))*-6 + ((sqrt(140) - -1*sqrt(140)) + sqrt(140))*-5)/(sqrt(700)*-2*2)*-5.
-9*sqrt(5)/4
Simplify ((sqrt(28) - (sqrt(336)*-1)/sqrt(12))*-5*2)/(4*((sqrt(256) - (sqrt(256) + -4*sqrt(256)*5 - sqrt(256))) + sqrt(256))).
-5*sqrt(7)/176
Simplify 3*(1 + (2*sqrt(2299) - sqrt(2299))) + (sqrt(190)/(sqrt(10) - sqrt(10)*-2)*1)**2 + -4.
10/9 + 33*sqrt(19)
Simplify 5*((-3*sqrt(200)/sqrt(10) - (0 + sqrt(5) + (sqrt(25) - sqrt(100))/sqrt(5) + sqrt(5)))**2 + 4) + 0.
1245
Simplify -1*((-5*(3 + (2 + sqrt(2299) - sqrt(2299)) + sqrt(2299) - (sqrt(2299)*-1 + -5)) + 3)**2 + 1).
-232110 - 10340*sqrt(19)
Simplify (((sqrt(475) + -1 + 5 + -3)*6)**2*-1 + 0)*3.
-51408 - 1080*sqrt(19)
Simplify (-1*((sqrt(1088) + -2)*-2 - (sqrt(1088) + sqrt(1088) + sqrt(1088) + 0 + 0 + sqrt(1088))**2) + -2 + -2)*-1.
-17400 - 16*sqrt(17)
Simplify 0 + -5*6*(-2 + ((sqrt(396) + sqrt(396) + -1 + sqrt(396))*2*-2)**2).
-1711140 + 17280*sqrt(11)
Simplify (-4*(0 + sqrt(320)) + sqrt(320) + 1 + 1)**2 - (sqrt(500) + 0 + 5*(sqrt(5) + 3)).
-111*sqrt(5) + 2869
Simplify ((4*(sqrt(102) - (-1*sqrt(102) - sqrt(102))))/((2*sqrt(72) + sqrt(72))/sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
out replacement from pppppppd. What is prob of sequence pp?
3/4
Four letters picked without replacement from nnapappapnnppap. Give prob of sequence papa.
1/65
What is prob of sequence fak when three letters picked without replacement from {k: 2, x: 1, g: 1, a: 2, o: 1, f: 2}?
1/63
Two letters picked without replacement from {v: 7, a: 2}. What is prob of sequence aa?
1/36
Four letters picked without replacement from rwwrwrrrwrerwwwwr. What is prob of sequence wwew?
1/170
Four letters picked without replacement from uuoofuo. What is prob of sequence oouf?
3/140
Four letters picked without replacement from aymmmjawmmjjyjmm. What is prob of sequence ymyj?
1/780
Two letters picked without replacement from bcrrqrooqo. What is prob of sequence oq?
1/15
What is prob of sequence eyk when three letters picked without replacement from yahheeehyzhzkez?
4/1365
What is prob of sequence ss when two letters picked without replacement from {s: 4, i: 11, a: 3}?
2/51
Three letters picked without replacement from {s: 2, c: 6, t: 6, n: 3, l: 2}. Give prob of sequence ltl.
2/969
Calculate prob of sequence ai when two letters picked without replacement from {i: 2, a: 9}.
9/55
Four letters picked without replacement from oohppophhqh. Give prob of sequence hphq.
1/220
Two letters picked without replacement from {q: 1, c: 1, w: 1, i: 2}. What is prob of sequence ii?
1/10
Four letters picked without replacement from {b: 8, z: 2}. What is prob of sequence bbzz?
1/45
Two letters picked without replacement from bgaeeease. What is prob of sequence ga?
1/36
Three letters picked without replacement from yxaax. What is prob of sequence yaa?
1/30
What is prob of sequence gv when two letters picked without replacement from vfvvvvvgegegvvg?
16/105
Four letters picked without replacement from {d: 6, j: 1, f: 1, h: 3, c: 4, b: 4}. What is prob of sequence hjfb?
1/7752
What is prob of sequence ntwi when four letters picked without replacement from {d: 2, w: 6, t: 1, n: 1, i: 2, v: 5}?
1/4760
Calculate prob of sequence dd when two letters picked without replacement from {d: 4, q: 7}.
6/55
Three letters picked without replacement from jjjmjjjmjm. What is prob of sequence mjj?
7/40
Four letters picked without replacement from {z: 1, s: 3, y: 1, e: 2, d: 4}. Give prob of sequence ysdz.
1/660
Three letters picked without replacement from tertteettltlxt. Give prob of sequence lre.
1/364
Two letters picked without replacement from {j: 3, s: 11, o: 3, p: 3}. Give prob of sequence js.
33/380
Calculate prob of sequence mpp when three letters picked without replacement from {m: 8, f: 4, p: 2}.
2/273
What is prob of sequence geg when three letters picked without replacement from {x: 2, g: 7, e: 1}?
7/120
What is prob of sequence ot when two letters picked without replacement from sssskstodksdbost?
1/60
Four letters picked without replacement from {v: 2, t: 1, r: 1, s: 1}. Give prob of sequence vrvt.
1/60
Four letters picked without replacement from {a: 2, u: 1, r: 1, b: 9}. Give prob of sequence bbaa.
6/715
What is prob of sequence ooq when three letters picked without replacement from qoqqqoqq?
1/28
Calculate prob of sequence hh when two letters picked without replacement from hfhfhfhfhfhfh.
7/26
What is prob of sequence dcy when three letters picked without replacement from chhdiyiiihdhchhiii?
1/1224
Calculate prob of sequence nz when two letters picked without replacement from {z: 1, q: 3, b: 1, y: 1, i: 5, n: 1}.
1/132
What is prob of sequence sa when two letters picked without replacement from {t: 8, a: 2, s: 3, i: 5, u: 1}?
1/57
Two letters picked without replacement from yyoepyyeoeeyeeeep. Give prob of sequence ey.
5/34
Two letters picked without replacement from ttj. What is prob of sequence tt?
1/3
What is prob of sequence fjj when three letters picked without replacement from {f: 3, n: 3, j: 8, x: 3}?
7/170
Four letters picked without replacement from vxvbsgbbhhh. Give prob of sequence xsvg.
1/3960
Four letters picked without replacement from {y: 2, z: 5, b: 8, u: 2}. What is prob of sequence uzyy?
1/2856
What is prob of sequence jhfy when four letters picked without replacement from hfhjjajfjfyjhajh?
3/1820
Three letters picked without replacement from {g: 5, l: 1, q: 4}. What is prob of sequence qqg?
1/12
Four letters picked without replacement from rzttzzrt. What is prob of sequence zrrt?
3/280
Two letters picked without replacement from {s: 3, h: 3, e: 3, q: 1}. Give prob of sequence eq.
1/30
Three letters picked without replacement from {e: 1, k: 3, h: 2, n: 1}. What is prob of sequence ekk?
1/35
Two letters picked without replacement from {b: 1, s: 2}. What is prob of sequence ss?
1/3
Two letters picked without replacement from qgyggqqggqq. What is prob of sequence qy?
1/22
Three letters picked without replacement from {r: 1, u: 1, l: 1, v: 2, p: 3, c: 3}. Give prob of sequence cvl.
1/165
What is prob of sequence js when two letters picked without replacement from {j: 3, s: 1}?
1/4
Three letters picked without replacement from ttjbjjjtktj. What is prob of sequence tkt?
2/165
Two letters picked without replacement from hjjhjjmhjjjjjmj. What is prob of sequence jh?
1/7
Three letters picked without replacement from nnrlnll. What is prob of sequence nll?
3/35
Two letters picked without replacement from jcmzzjzczcjjjczzcj. What is prob of sequence jj?
5/51
Calculate prob of sequence kc when two letters picked without replacement from cwwcfwfcsck.
2/55
Calculate prob of sequence vmm when three letters picked without replacement from mvvvvvmvvvvv.
1/66
Calculate prob of sequence fpb when three letters picked without replacement from fbxxbbbbpbxbbfbbx.
1/204
Calculate prob of sequence hoh when three letters picked without replacement from chihhhiioihihhdihihi.
1/95
What is prob of sequence zuo when three letters picked without replacement from uunozinw?
1/168
What is prob of sequence gaak when four letters picked without replacement from kvkvvvgagakv?
1/990
What is prob of sequence tt when two letters picked without replacement from gtttttgttttt?
15/22
Four letters picked without replacement from rfubrfffhbbuh. What is prob of sequence furr?
2/2145
Three letters picked without replacement from udynyzdybdn. Give prob of sequence uzd.
1/330
Calculate prob of sequence qxtk when four letters picked without replacement from {q: 1, t: 1, n: 1, x: 1, o: 2, k: 2}.
1/840
Two letters picked without replacement from {q: 2, i: 9, n: 8}. Give prob of sequence ni.
4/19
Two letters picked without replacement from yhkxhy. Give prob of sequence hx.
1/15
Four letters picked without replacement from cmpcqqu. Give prob of sequence cqpq.
1/210
Three letters picked without replacement from quqxuuuuuquuaxautuq. Give prob of sequence txx.
1/2907
What is prob of sequence xev when three letters picked without replacement from {v: 2, x: 1, e: 1, r: 1}?
1/30
Three letters picked without replacement from {m: 3, z: 4, d: 1, v: 2, q: 2, s: 2}. Give prob of sequence svm.
1/182
Calculate prob of sequence oo when two letters picked without replacement from {o: 11, n: 2, s: 1, k: 2}.
11/24
Calculate prob of sequence qv when two letters picked without replacement from aquvqraqqaahaar.
2/105
Calculate prob of sequence tttd when four letters picked without replacement from ttxttxudvtx.
1/132
Four letters picked without replacement from {h: 3, l: 4, y: 10, n: 2}. Give prob of sequence hlhn.
1/1938
Two letters picked without replacement from {u: 1, q: 1, e: 1, g: 2, z: 1, d: 1}. Give prob of sequence gz.
1/21
Two letters picked without replacement from {v: 1, z: 2, q: 3, t: 1, x: 4}. Give prob of sequence qx.
6/55
Two letters picked without replacement from {j: 1, f: 2, a: 7}. What is prob of sequence af?
7/45
Three letters picked without replacement from mkmjusm. Give prob of sequence mkm.
1/35
What is prob of sequence cz when two letters picked without replacement from {c: 1, f: 5, l: 5, x: 2, z: 3}?
1/80
Four letters picked without replacement from qxqxqq. What is prob of sequence qxqq?
2/15
Three letters picked without replacement from {m: 4, w: 12, o: 4}. What is prob of sequence www?
11/57
Three letters picked without replacement from xnlxlnxxxnxnxxxxaxx. Give prob of sequence lxn.
16/969
What is prob of sequence z
|
{
"pile_set_name": "DM Mathematics"
}
|
emainder when 229699 is divided by 43.
36
What is the remainder when 489 is divided by 142?
63
What is the remainder when 522673 is divided by 33?
19
What is the remainder when 10816 is divided by 102?
4
Calculate the remainder when 1086 is divided by 123.
102
Calculate the remainder when 9653 is divided by 46.
39
Calculate the remainder when 285 is divided by 33.
21
What is the remainder when 318 is divided by 21?
3
What is the remainder when 10459 is divided by 181?
142
What is the remainder when 303658 is divided by 20?
18
Calculate the remainder when 614952 is divided by 33.
30
What is the remainder when 3657 is divided by 58?
3
What is the remainder when 4370 is divided by 294?
254
What is the remainder when 6308 is divided by 211?
189
Calculate the remainder when 128843 is divided by 9203.
1
Calculate the remainder when 100746 is divided by 48.
42
Calculate the remainder when 69839 is divided by 34917.
5
Calculate the remainder when 1270 is divided by 382.
124
Calculate the remainder when 23171 is divided by 289.
51
What is the remainder when 1086 is divided by 366?
354
What is the remainder when 23808 is divided by 243?
237
Calculate the remainder when 2285632 is divided by 14.
6
What is the remainder when 13165 is divided by 6574?
17
What is the remainder when 4567 is divided by 41?
16
Calculate the remainder when 337398 is divided by 25.
23
Calculate the remainder when 18996 is divided by 161.
159
Calculate the remainder when 127355 is divided by 944.
859
Calculate the remainder when 1928 is divided by 327.
293
What is the remainder when 2475 is divided by 19?
5
Calculate the remainder when 155436 is divided by 57.
54
What is the remainder when 8783 is divided by 59?
51
What is the remainder when 1481769 is divided by 18?
9
What is the remainder when 7734 is divided by 109?
104
Calculate the remainder when 483649 is divided by 68.
33
Calculate the remainder when 37402 is divided by 1968.
10
Calculate the remainder when 7280 is divided by 607.
603
What is the remainder when 57 is divided by 31?
26
What is the remainder when 329664 is divided by 73?
69
Calculate the remainder when 66653 is divided by 23.
22
Calculate the remainder when 4121 is divided by 877.
613
What is the remainder when 130597 is divided by 3185?
12
What is the remainder when 550314 is divided by 121?
6
Calculate the remainder when 31227 is divided by 29.
23
Calculate the remainder when 4456 is divided by 1484.
4
Calculate the remainder when 7499 is divided by 748.
19
Calculate the remainder when 141773 is divided by 510.
503
Calculate the remainder when 16712 is divided by 539.
3
Calculate the remainder when 141284 is divided by 41.
39
Calculate the remainder when 17839 is divided by 48.
31
What is the remainder when 3797 is divided by 986?
839
What is the remainder when 7720 is divided by 224?
104
Calculate the remainder when 8995 is divided by 477.
409
Calculate the remainder when 36238 is divided by 3293.
15
Calculate the remainder when 248 is divided by 202.
46
Calculate the remainder when 24073 is divided by 8010.
43
What is the remainder when 4004 is divided by 797?
19
Calculate the remainder when 231183 is divided by 58.
53
What is the remainder when 9643 is divided by 3191?
70
What is the remainder when 3051 is divided by 108?
27
Calculate the remainder when 833 is divided by 17.
0
What is the remainder when 218456 is divided by 261?
260
Calculate the remainder when 67867 is divided by 1013.
1009
Calculate the remainder when 844 is divided by 50.
44
What is the remainder when 65708 is divided by 21899?
11
What is the remainder when 100294 is divided by 9?
7
Calculate the remainder when 1138 is divided by 127.
122
What is the remainder when 12335 is divided by 102?
95
Calculate the remainder when 35699 is divided by 150.
149
Calculate the remainder when 2566364 is divided by 1072.
1068
Calculate the remainder when 812254 is divided by 8.
6
What is the remainder when 2232 is divided by 100?
32
Calculate the remainder when 434396 is divided by 800.
796
What is the remainder when 12112 is divided by 810?
772
Calculate the remainder when 78178 is divided by 167.
22
What is the remainder when 8628 is divided by 861?
18
What is the remainder when 251795 is divided by 4?
3
Calculate the remainder when 63767 is divided by 6376.
7
Calculate the remainder when 64712 is divided by 25.
12
What is the remainder when 108580 is divided by 2934?
22
Calculate the remainder when 2289 is divided by 2274.
15
What is the remainder when 12530 is divided by 1393?
1386
What is the remainder when 192365 is divided by 782?
775
What is the remainder when 625 is divided by 54?
31
Calculate the remainder when 24753 is divided by 24737.
16
What is the remainder when 1844 is divided by 534?
242
What is the remainder when 20169 is divided by 20159?
10
Calculate the remainder when 6444 is divided by 1487.
496
What is the remainder when 8144 is divided by 3987?
170
Calculate the remainder when 1154 is divided by 287.
6
Calculate the remainder when 34867 is divided by 4292.
531
What is the remainder when 3755 is divided by 805?
535
Calculate the remainder when 1205372 is divided by 40179.
2
What is the remainder when 1817089 is divided by 9?
7
Calculate the remainder when 1218 is divided by 26.
22
What is the remainder when 184606 is divided by 32?
30
What is the remainder when 5517 is divided by 1831?
24
What is the remainder when 7891 is divided by 3938?
15
Calculate the remainder when 29309 is divided by 14.
7
What is the remainder when 699027 is divided by 58252?
3
Calculate the remainder when 5719425 is divided by 132.
129
What is the remainder when 3511 is divided by 5?
1
Calculate the remainder when 69885 is divided by 64.
61
What is the remainder when 801 is divided by 561?
240
What is the remainder when 15772 is divided by 1093?
470
What is the remainder when 7367 is divided by 125?
117
What is the remainder when 5448 is divided by 11?
3
Calculate the remainder when 128 is divided by 82.
46
Calculate the remainder when 36180 is divided by 52.
40
What is the remainder when 4690 is divided by 4577?
113
What is the remainder when 1108450 is divided by 17?
16
What is the remainder when 3743 is divided by 66?
47
What is the remainder when 3210 is divided by 1024?
138
Calculate the remainder when 13599 is divided by 3321.
315
Calculate the remainder when 29127 is divided by 119.
91
What is the remainder when 114014 is divided by 3?
2
Calculate the remainder when 395936 is divided by 11312.
16
What is the remainder when 807293 is divided by 942?
941
What is the remainder when 42364 is divided by 223?
217
Calculate the remainder when 24803 is divided by 205.
203
Calculate the remainder when 3569 is divided by 11.
5
What is the remainder when 5284 is divided by 176?
4
What is the remainder when 30688 is divided by 101?
85
What is the remainder when 52246 is divided by 1196?
818
Calculate the remainder when 1004951 is divided by 312.
311
What is the remainder when 255233 is divided by 256?
1
Calculate the remainder when 22775 is divided by 4434.
605
What is the remainder when 97645 is divided by 350?
345
Calculate the remainder when 2635 is divided by 1908.
727
Calculate the remainder when 436307 is divided by 309.
308
What is the remainder when 42438 is divided by 144?
102
What is the remainder when 648 is divided by 60?
48
What is the remainder when 13646 is divided by 358?
42
What is the remainder when 2384 is divided by 113?
11
What is the remainder when 3756885 is divided by 36?
33
What is the remainder when 393022 is divided by 192?
190
Calculate the remainder when 174025 is divided by 313.
310
What is the remainder when 1600 is divided by 737?
126
Calculate the remainder when 24579 is divided by 1524.
195
Calculate the remainder when 143628 is divided by 18.
6
Calculate the remainder when 54932 is divided by 343.
52
What is the remainder when 1754 is divided by 374?
258
Calculate the remainder when 268 is divided by 231.
37
Calculate the remainder when 1252 is divided by 55.
42
Calculate the remainder when 1111280 is divided by 111128.
0
What is the remainder when 21997 is divided by 27?
19
What is the remainder when 4961552 is divided by 215?
212
Calculate the remainder when 19246
|
{
"pile_set_name": "DM Mathematics"
}
|
.8 and -984645.
-4663696.8
Put together 201974684426981 and 0.1.
201974684426981.1
-22039600568340 + -4
-22039600568344
What is -43581219 + 0.2708?
-43581218.7292
Work out -14.4 - 45752575.
-45752589.4
What is 3247 minus -99723471?
99726718
Work out -2152208891 + -55.094.
-2152208946.094
What is 86.27995 less than -176388?
-176474.27995
What is -224479921070 take away -0.24?
-224479921069.76
What is the difference between -2 and 4322443546259?
4322443546261
What is -2.1 minus 7262032428?
-7262032430.1
What is -1921512536 + -16.28?
-1921512552.28
What is -1349.466938 + 193?
-1156.466938
Calculate -2.3084842946 - 0.03433.
-2.3428142946
Calculate -0.03763611099 + 0.166.
0.12836388901
Put together 2200852640 and -1176.
2200851464
Calculate 4.9 + 99406541561.
99406541565.9
Calculate 208181102 - -968.257.
208182070.257
Add 9880584.62155266 and -0.2.
9880584.42155266
What is -503701.284 + 6395?
-497306.284
-0.9+890344727051
890344727050.1
Total of -3 and -112058.5799308.
-112061.5799308
0.09978233 - 41.17273
-41.07294767
What is -0.5 + -348974923.4883?
-348974923.9883
5 - -679261953624
679261953629
What is -275214997036 take away -0.3?
-275214997035.7
What is the difference between 29 and -2291420943?
2291420972
What is the difference between -94.4969 and 4104819?
4104913.4969
-40045357139+-255
-40045357394
Subtract 2232553.86909 from -0.3.
-2232554.16909
What is 125162943 minus -2296?
125165239
Subtract -5193899.742 from -247.6.
5193652.142
What is -216028818389665 minus -0.1?
-216028818389664.9
Total of -276481905 and -19960.51.
-276501865.51
Add together -412 and 56.7557703.
-355.2442297
Add together 0.20523 and -11.73451.
-11.52928
-57721 + -1386979.2
-1444700.2
What is 1049922 take away -196.0376?
1050118.0376
Subtract -6971088554731 from -0.29.
6971088554730.71
Subtract 12607113 from -6016.4.
-12613129.4
What is 4 plus 873336157?
873336161
What is the difference between 564 and -6565985437?
6565986001
Add -2813565 and 254150.
-2559415
-304024+204.2773
-303819.7227
Put together 36552 and -3253807876.
-3253771324
What is the distance between -61623 and 17687177453?
17687239076
What is -14.87 plus -0.76312837?
-15.63312837
Put together 7221198 and 123195.
7344393
Subtract -18 from -30166685067.
-30166685049
-0.09563 - 654710.0204
-654710.11603
Calculate -279019.8995 + 114.
-278905.8995
Add together 1.082 and 15.40225804.
16.48425804
Work out 2.33632 + 542179.
542181.33632
What is -10 less than 3842410900.189?
3842410910.189
Subtract -5147 from -183068550.
-183063403
What is 65101255 plus -1754?
65099501
Add -172.17882 and -930653.
-930825.17882
Total of 260 and -15487581905.1.
-15487581645.1
-97914+7418.62297
-90495.37703
What is -0.5653 minus 1.3655451?
-1.9308451
What is 15510496090 take away 0.583?
15510496089.417
What is 0.2 plus 704.32395749955?
704.52395749955
Calculate 361000 + 121701.5.
482701.5
What is 5732867 take away -11.3474?
5732878.3474
What is 13507519.6 less than 0.82429?
-13507518.77571
57693230 + -1086.099
57692143.901
What is 222743336 plus -1.224?
222743334.776
Subtract -9 from -447873025289.
-447873025280
Sum -6 and 1024909.05028267.
1024903.05028267
What is -0.029 - -43790905620?
43790905619.971
Add -3 and -6800772.2808.
-6800775.2808
Work out 355 - -168414999922.
168415000277
Add together -1.218051 and 20371651.
20371649.781949
Calculate -1070331302034 - -5.
-1070331302029
Total of 3614 and 6162050.317.
6165664.317
What is 2487458280 take away 23?
2487458257
What is 13.31 minus -645665791?
645665804.31
What is -126781 take away 0.1449549425?
-126781.1449549425
What is -0.194358 take away 20.26496?
-20.459318
148560665.1 - -5.26
148560670.36
What is -10815553 + -14512119?
-25327672
What is the distance between -117302103.3534 and 0.19?
117302103.5434
Add together 633 and 180588208041.
180588208674
-0.052767165509 + -4
-4.052767165509
Put together -816706 and 182561346.
181744640
What is -886 take away 103404864829.1?
-103404865715.1
Put together 0.112025597 and -8.3.
-8.187974403
What is 142.9125008 minus 4.642?
138.2705008
What is 2.424891091914 - -0.2?
2.624891091914
What is -20.339398 plus 0.06750816?
-20.27188984
What is 450866837.179 less than -41?
-450866878.179
509+-0.0077927173
508.9922072827
What is -0.2 minus 19074.02275805?
-19074.22275805
What is the distance between 0.41 and -59646765219?
59646765219.41
Total of -25003.6753971 and -1330.
-26333.6753971
-108934602+0.1497
-108934601.8503
Total of 49831853886 and 5.
49831853891
What is the distance between 2533.64744 and -18302?
20835.64744
What is -6336287684 + 16.01?
-6336287667.99
Subtract -356617841.278 from -0.2.
356617841.078
What is -2.35 + -825613344?
-825613346.35
Total of -703 and 365439578.
365438875
Add together -237058709344 and -513.
-237058709857
Add together -6334 and -26444188534.
-26444194868
Calculate -275.28 - 9886775.
-9887050.28
Calculate 126047277.3 + -15422.9.
126031854.4
Put together 5.382 and -0.048917602.
5.333082398
What is -33 minus 17079255700980?
-17079255701013
Add together -0.5 and 154.50119607.
154.00119607
What is -9910456 + -0.08884841?
-9910456.08884841
Add -28896118595 and -30.
-28896118625
Calculate 173076 + -0.42264199.
173075.57735801
Work out 883624563529.6 + 7.
883624563536.6
-49836225112.1 + -625
-49836225737.1
Put together -41421753.2 and -0.17668.
-41421753.37668
What is 42627.887714 minus -45?
42672.887714
What is -1799 - -1418.13629?
-380.86371
Add together -226706.7 and 138.83.
-226567.87
Add -754263471 and 0.557768.
-754263470.442232
Calculate 0.423 - 30016102.21.
-30016101.787
What is 1131250173 - 19562?
1131230611
-2168.075 - -4334040
4331871.925
What is -0.0934 - 223435.141?
-223435.2344
Total of -7.0737 and 824592555.
824592547.9263
What is the distance between 84331 and -3607.23508?
87938.23508
Total of 20.07194 and -538572608.
-538572587.92806
-9.919 - 111801580
-111801589.919
Total of 4975 and 45221695.
45226670
What is 28.75249 + -28.59?
0.16249
6829 - 55089280
-55082451
What is -15972 + -0.07786125?
-15972.07786125
What is -3.017 + 147814993.96?
147814990.943
Put together -3175235068704 and -0.015.
-3175235068704.015
Put together -5760.55463 and 10.913.
-5749.64163
What is the distance between 3829956888 and 27497?
3829929391
27774 - -6649268618
6649296392
What is the distance between 675571.5 and 384350?
291221.5
What is the distance between 0.5 and 7208793568.5047?
7208793568.0047
Calculate -7.442 + 21.1333396.
13.6913396
-265.5+-44309619
-44309884.5
Work out -24295 + 3913386.
3889091
What is 6.437498 minus -17587?
17593.437498
What is the distance between -0.5 and -150407570269?
150407570268.5
-6974663 - 37946960
-44921623
What is -21610 minus -37086.348?
15476.348
Put together 7.296738674 and -14.
-6.703261326
Subtract 39.4 from -1161.851505.
-1201.251505
Subtract 2153.8159 from 7.590417.
-2146.225483
-757612930 + -2318
-757615248
What is -0.5 - -331.29350277?
330.79350277
What is the difference between -2 and 5903603985845?
5903603985847
Total of 0.0738554291 and -19392.
-19391.9261445709
What is -1.830725324 minus 0.12932?
-1.960045324
What is 3 minus -29753413537?
29753413540
Work out -820 - -12779.96.
11959.96
What is 5 - 3990306614?
-3990306609
Add together -202 and 1814071781.
1814071579
Subtract 14094279279 from -61.
-14094279340
54091 - -115865310
115919401
Calculate -18.4707752 - 1835139.
-1835157.4707752
Add together -19338799010 and -891.
-19338799901
Calculate -1921663.84 - -33.017.
-1921630.823
Calculate -1 + 16.3243561093.
15.3243561093
Total of 37672 and 36140943325.
36140980997
Work out 1 - -2116279329379.8.
2116279329380.8
What is -21 take away -743447442?
743447421
Work out 4273.77 - 80354.04.
-76080.27
Calculate 5686.2 + 0.2788259.
5686.4788259
Subtract -0.3 from -358137.85791421.
-358137.55791421
Calculate 292.3200866 - 2.3.
290.0200866
87380765231+-898
87380764333
Add 2.4425 and -705474704.
-705474701.5575
Put together 50.68 and -1597059461.
-1597059410.32
What is the difference between 4641 and 2.838484983?
4638.161515017
What is 629.4555855 + 718?
1347.4555855
Subtract 686965307 from -14677.
-686979984
What is 2.7 minus -597353060?
597353062.7
What is 119.8849723 plus 153489?
153608.8849723
What is -14768354.584 less than -784.4?
14767570.184
3+866927578002
866927578005
What
|
{
"pile_set_name": "DM Mathematics"
}
|
False
Let s(u) = u**3 - 12*u**2 - u + 19. Is s(12) a multiple of 5?
False
Let j(f) = -7*f**3 + 3*f**2 + 3*f + 4. Let k(t) = -4*t**3 + t**2 + 2*t + 2. Let u(d) = -3*j(d) + 5*k(d). Is 11 a factor of u(5)?
False
Let r(x) = -x**2 + 11*x - 12. Let u be r(10). Is (4 + u)*(-78)/(-4) a multiple of 19?
False
Suppose -4*w - w = -60. Let k = -8 - -28. Let n = k - w. Is 8 a factor of n?
True
Let t(k) = -k**2 + 4*k + 17. Does 2 divide t(5)?
True
Let n(g) = g**2 - 4*g + 1. Let o be n(3). Let z be o/(-8) + (-5)/20. Suppose k + z = 28. Does 12 divide k?
False
Suppose -2*h + 6 = h. Suppose h*j = -3*j + 300. Let v = -20 + j. Does 20 divide v?
True
Suppose 0 = 29*f - 34*f + 910. Does 34 divide f?
False
Suppose 4*j - 3*j = 48. Is 10 a factor of j?
False
Let h(a) be the first derivative of a**2/2 - 4*a + 3. Let p be h(4). Suppose -7*z + 2*z + 80 = p. Is z a multiple of 6?
False
Is 5 a factor of (-2 + 8)*(0 + (-19)/(-3))?
False
Let t(j) = j**2 + 2*j - 21. Is 7 a factor of t(-9)?
True
Let g be (92/10)/((-3)/15). Suppose -3*s + 153 + 153 = 0. Let a = g + s. Is 24 a factor of a?
False
Let x be -5 + 7 + (-19 - 0). Let d = x + 38. Is d a multiple of 12?
False
Let v = -5 - -6. Let n = 8 + v. Is n a multiple of 3?
True
Suppose 0 = -3*t + d + 4585, t + 8*d = 3*d + 1507. Suppose -520 = -l - 4*f, -f + t = 3*l - 0*f. Is (-2)/7 + l/14 a multiple of 17?
False
Is ((-2970)/225)/((-2)/40*3) a multiple of 11?
True
Suppose -5*o + 4*w = -508, -3*w = 6*o - 2*o - 394. Suppose 5*x - 25 = o. Is x a multiple of 14?
False
Let c be 20 + (0 - (-2)/1). Suppose -21 = -h + c. Is h a multiple of 15?
False
Let k = 7 - 4. Suppose -29 = -5*g + 2*y, -2*y + 8 = -k*g + 23. Is g a multiple of 7?
True
Suppose 0 = 4*a - 3*a - 12. Suppose 5*s - 3 - a = 0. Is s a multiple of 3?
True
Let p = 37 + -24. Let o(d) = -d + 19. Is o(p) a multiple of 3?
True
Suppose 6 = 4*q + 2. Let h = q - -2. Suppose -h*i = 2*n - 2 - 52, 3*i = -4*n + 102. Is 12 a factor of n?
True
Let m be 0 + 3/(-1 + 4). Let t be 2 + m*(-2 + 5). Suppose -2*u + 35 = n + 15, -15 = t*u. Does 13 divide n?
True
Let d(g) = -g**2 + 4*g + 5. Let f(n) = -n**2 + 3*n + 4. Let l(z) = 5*d(z) - 6*f(z). Let b be l(-3). Let j = 2 + b. Does 3 divide j?
True
Suppose -85 = -2*g + 55. Suppose 34 = 5*v - 3*v + p, g = 4*v + p. Is 9 a factor of v?
True
Suppose -11 + 45 = 2*r. Is r a multiple of 2?
False
Let x = 0 + 5. Suppose x*f = -5*r + 45, 0 = -r - 4*f - 7 + 25. Does 4 divide r?
False
Is 13 a factor of (2*-2)/((-2)/26)?
True
Suppose 0 = 13*l - 578 + 201. Is 13 a factor of l?
False
Let h(z) = -z**3 - 3*z**2 + 3*z + 5. Suppose -3*c + 2*c = k + 9, c + 21 = -4*k. Is h(c) a multiple of 8?
True
Let k = -86 + 212. Is k a multiple of 18?
True
Let t(b) be the first derivative of -b**2 + 4*b + 4. Let u = -25 - -17. Does 10 divide t(u)?
True
Let z(c) = -12*c + 10. Let x(o) = 13*o - 10. Let w(h) = -4*x(h) - 5*z(h). Does 16 divide w(10)?
False
Let t = -48 + 30. Let q = t - -42. Does 13 divide q?
False
Suppose -5*o = -i + 51, 4*i - 73 = 2*o + 41. Does 13 divide i?
True
Let k = 25 + 4. Let h = -11 + k. Is 9 a factor of h?
True
Does 19 divide 41 + 5/((-5)/(-2))?
False
Suppose 0 = -5*q + c - 3*c + 597, -c = -3*q + 367. Does 35 divide q?
False
Let g = 0 - -2. Suppose g*c = 28 - 4. Is 12 a factor of c?
True
Let n be -10*(29/(-2) - -3). Suppose 5*i + 2*f - n = -f, 3*f = i - 5. Does 10 divide i?
True
Suppose 2*r + 5*k = 5*r - 38, 26 = r - 5*k. Let q be ((-30)/(-4))/3*r. Suppose 3*d = 6 + q. Does 6 divide d?
False
Suppose b = 3*b - 126. Is b a multiple of 21?
True
Suppose h + 7 = -t, -5*t = -2*h - 4*t - 2. Is (-1)/(2/(12/h)) even?
True
Let i(z) = -z**3 - 5*z**2 - 5*z - 5. Let d be i(-4). Let c be (-3)/(-3) + d - -5. Suppose c*n - 5 = 5, -42 = -4*v - 5*n. Is 4 a factor of v?
True
Suppose -1 = -4*l - 321. Does 14 divide l/(-6) - (-8)/12?
True
Let b be (8/3 - 1)*3. Suppose 0*k = -b*k + 110. Suppose -k = -4*m - 2. Is m a multiple of 5?
True
Let o be (2 + -2)*-1 - 53. Let h = o + 76. Does 8 divide h?
False
Let m(f) = 3*f + 1. Let n = 1 + 9. Does 11 divide m(n)?
False
Let u = -26 - -38. Does 4 divide u?
True
Let v(x) = -x + 6. Let k be v(0). Suppose 0 = -c + k*c. Let d(f) = f**2 - f + 4. Is 3 a factor of d(c)?
False
Let a(z) = -2*z**2 + 5*z + 6. Let o be a(6). Is (4 - 3)/(-1) - o a multiple of 10?
False
Suppose -l = -4*l - x + 3, 2*x = 3*l + 6. Suppose 2*k + 3*f = -5, l = -4*k + 3*f - 9 + 44. Is 3 a factor of k?
False
Suppose 2*y + z + z = 8, 5*y + 4*z - 20 = 0. Suppose -22 - y = -2*o. Is o a multiple of 4?
False
Suppose 0 = -w + 3, 5*l - w + 0*w - 32 = 0. Let u(g) = 5*g + 10. Does 23 divide u(l)?
False
Let z(n) = -105*n + 2 - 2. Let t be z(-1). Suppose 0 = -11*o + 6*o + t. Does 9 divide o?
False
Suppose -4*x = 5*t - 118 - 99, -4*x + 212 = 4*t. Is 8 a factor of x?
True
Suppose 0 = 17*s - 309 - 371. Is s a multiple of 4?
True
Let w(x) = -x - 3. Let h be w(-3). Suppose 0 = 4*s - h*s - 68. Does 6 divide s?
False
Is 12 a factor of (2/3)/(6/3195)?
False
Suppose 174 = -3*o + 5*o. Suppose -o - 15 = -2*w. Is w a multiple of 17?
True
Let t(m) = 13*m**2 - 4. Does 27 divide t(-2)?
False
Suppose f - 6*f + 15 = 0. Suppose f*g = 2*o - 46, 2*o - 2*g - 54 = -3*g. Suppose -5*d + 6*h = 4*h - 37, -o = -2*d - 2*h. Is 5 a factor of d?
False
Let f(c) = 14*c + 6. Let u be f(-8). Let r = u - -56. Does 13 divide 10/r + 136/5?
False
Suppose 0*z = -5*z. Let v = 3 - z. Suppose -2*r - 19 = -v*r. Does 9 divide r?
False
Suppose -6*d + 171 = 45. Does 7 divide d?
True
Let n(t) = t**3 + 9*t**2 - 3*t - 5. Let x = -11 + 8. Let l = x + -6. Is n(l) a multiple of 13?
False
Suppose -z = -0*y + 5*y - 5, 0 = 5*z + 3*y - 69. Suppose -g + z = 2*g. Suppose 9 + g = m. Does 4 divide m?
False
Let o(y) = -8 - 5*y - 3 + 1. Let k = 1 + -9. Does 12 divide o(k)?
False
Let u(n) = n**2 + 4*n - 3. Let y be u(-8). Let d = y - 21. Does 5 divide d?
False
Let r(u) = -u**2 + 2. Let l be r(0). Suppose l*q = q. Suppose -4*o = c - 30, q = 2*c + 6*o - o - 51. Is c a multiple of 9?
True
Suppose 4*o - 3*o = 0. Let f be (0 + o)/(9 - 7). Suppose -2*k + 3*k + 68 = 4*c, 2*k - 8 = f. Does 14 divide c?
False
Let i(b) = -2*b - 11. Let f be 6*1/2 - 1. Let w = f - 11. Is 3 a factor of i(w)?
False
Is (-9)/(-2)*(-2)/(-3) even?
False
Let r be 348/9 + 1/3. Suppose -2*g = -r - 51. Is 14 a factor of g + -2 + -2 + 2?
False
Let o = -40 + 64. Is o a multiple of 4?
True
Is 9 a factor of (180/14)/((-1)/(-7))?
True
Let f be ((-2)/4)/((-11)/(-1496)). Let b = f - -106. Does 19 divide b?
True
Let o(w) = -w**2 + 8*w + 1. Let b be o(8). Let k(z) = b + 3 - 9 + 4 + 4*z. Does 12 divide k(4)?
False
Let q = 75 + -70. Is q a multiple of 2?
False
Suppose 0 = i + 4*z + 11, 5 - 30 = -5*i - 4*z. Suppose 0 = -3*f - i, 7*f = -3*p + 3*f + 69. Is p a multiple of 9?
True
Let z(o) = o**3 - 4*o**2 - 6*o - 2. Let r be z(6). Let a be (-3)/7 - r/(-14). Suppose -29 = -p + a*k + 35, 177 = 3*p - 3*k. Is 18 a factor of p?
True
Suppose -r = -b - 56, 2*r - 4*b + 0*b = 106. Is 19 a factor of r?
False
Let p(t) be the second derivative of 4*t**5/5 - t**4/12 - t**3/6 + t**2/2 - 2*t. Is 8 a factor of p(1)?
False
Is (13/(-2))/((-9)/18) a multiple of 13?
True
Suppose 19*o - 15*o = 980. Does 21 divide o?
False
Suppose r - l = 2, 3*l = -r + 3*r. Let m(t) = t**2 - 4*t + 14. Is m(r) a multiple of 13?
True
Suppose 0 = 2*o - 4*o + 6. Suppose -o*h - 7 = -4*h. Is h a multiple of 6?
False
Let g(y) = -3*y - 6. Suppose -6*a + a - 45 = 0. Is 7 a factor of g(a)?
True
Suppose 4*y - 18 = -5*n + 42, y = 0. Let s(u) = -u**2 + 15*u - 17. Is 19 a factor of s(n)?
True
Suppose -6*t + t + 14 = 3*c, 0 = -2*c + 4*t + 24. Does 10 divide ((-2)/4)/(c/(-320))?
True
Let x(l) = 64*l**2 - l + 3. Is 11 a factor of x(1)?
True
Suppose 2*n = -0*n - 2*c + 6, 15 = -3*c. Is n even?
True
Let u(r) = -r**2 + 16*r + 13. Suppose 0 = -t + 4*t - 33. Does 26 divide u(t)?
False
Suppose 73 + 98 = 3*b. Does 57 divide b?
True
Suppose 175 = 3*q + 4*y, -2*q = -4*q + 3*y + 111. Is q a multiple of 19?
True
Let x be 2 - (-1)/2*0. Suppose 5*o - w + 62 = 167, -4*o + x*w + 84 = 0. Is o a multiple of 14?
False
Let q(h) = 63*h**3 - 2*h + 1. Let g be q(1). Suppose s - m - 23 = 0, -2*m + g = 2*s - 0*m. Is 9 a factor of s?
True
Let m(f) = -f + 2. Let s be m(5). Let p be -5*3/(3/10). Does 8 divide p/(-3) + 2/s?
True
Let z(n) = 2*n - 6. Let b(x) be the first derivative of x
|
{
"pile_set_name": "DM Mathematics"
}
|
et x(a) = -a**3 + 2*a**2 + 2*a - 2. Let q be x(3). Let r be 1*-4*1 + (-184 - -189). Sort -1, r, q in ascending order.
q, -1, r
Suppose k - 6*k = 0. Suppose z = -4*w + 3, -w - 4*z + 1 - 19 = k. Sort w, -2, -5 in decreasing order.
w, -2, -5
Suppose -5*s + 36 = -44. Sort 0, -3, s.
-3, 0, s
Let v(r) = r - 9. Let j(c) = 6*c - 10. Let f be j(3). Let m be v(f). Put m, 4, 1 in descending order.
4, 1, m
Let q = -66 + 64. Sort q, -4, -2/7 in decreasing order.
-2/7, q, -4
Let d = -2 - -2. Suppose -5*g = 4*g + 18. Put -5, g, d in decreasing order.
d, g, -5
Let t = 12173/25 - 487. Let z = 5.6 + -5. Let o = 2.6 - z. Sort t, 0, o in decreasing order.
o, 0, t
Let p(v) = 3*v**2 + 1. Let h be p(1). Suppose -8 = h*a + 8. Put 4, -1, a in ascending order.
a, -1, 4
Let p be 1*-1 + 3 + -6. Let f be 2/8 + 17/p. Put -2, 1, f in increasing order.
f, -2, 1
Let a = 0.04 - -4.96. Let l be -1 - (0 - (-9)/(-11)). Let d = 17/33 + l. Sort a, -0.2, d in descending order.
a, d, -0.2
Suppose 24*g + 44 + 76 = 0. Suppose 5*q - d = 3*d + 14, q + 2*d = 0. Let m be 2 - 2*(-1)/q. Put 1, g, m in ascending order.
g, 1, m
Suppose 0 = 2*x + 4*l - 20, l - 15 = -x - 2*l. Let m = -1 + -2. Let p be 4/(-14) + (-9)/(-7). Put m, p, x in ascending order.
m, x, p
Let c = -26 - -27. Sort 11, c, -0.1 in increasing order.
-0.1, c, 11
Let m(f) = -f**3 - 9*f**2 - 2. Let d be m(-9). Put 0, -1, d in decreasing order.
0, -1, d
Suppose 11 - 28 = -x. Let r = x - 12. Sort 4, 1, r in descending order.
r, 4, 1
Suppose 0 = 5*l - 4 - 6. Suppose -g - 3*j = -1 - 7, -12 = -4*g - l*j. Sort -3, 4, g.
-3, g, 4
Let n = 0.29 + 0.11. Put -6, 0.3, n in descending order.
n, 0.3, -6
Suppose a + 24 = 22. Put 4, 1, a in descending order.
4, 1, a
Let k be -2 + 34/(-4) - (-2)/(-4). Sort 3, -2, k, 2 in decreasing order.
3, 2, -2, k
Suppose 70 = 4*c + 6. Suppose -c = w - 5*w. Suppose 4*v = x - 1 + w, -4*x - 3*v = 12. Sort -4, x, -2.
-4, x, -2
Let c = 9/44 - -113/308. Put 3/4, c, 0.1, -0.4 in ascending order.
-0.4, 0.1, c, 3/4
Let c = 15 - 16. Sort -2, c, -0.4 in decreasing order.
-0.4, c, -2
Let v = 1.4 + -1. Let d = -0.1 + 4.1. Sort d, v, 5 in descending order.
5, d, v
Let t = 4 - 3. Let x = -74 + 48. Let i = 26 + x. Sort t, i, 2 in increasing order.
i, t, 2
Suppose -3*f - 5*n = -28, 2*f - 3*n = 7*f - 36. Let c = 8 - 5. Suppose c*h + 12 = f. Sort 0, h, 5 in descending order.
5, 0, h
Suppose 0 = 5*v - 2*p - 1 + 4, -2*v - 4*p = -18. Let d = -10.4 - -6. Let j = d + 4. Sort j, -1/6, v in decreasing order.
v, -1/6, j
Let g = -23 + 18. Put -0.2, 5, g in ascending order.
g, -0.2, 5
Let x = -8.498 + -0.202. Let n = x + 9. Put 0.4, 3/7, n in decreasing order.
3/7, 0.4, n
Let j = 37.6 + -35.61. Let p = -0.03 + 0.02. Let r = p - j. Sort -3, 0.5, r.
-3, r, 0.5
Let p(k) = k + k**3 + 10*k**2 - 5*k + 5*k + 10 + 0*k. Let g be p(-10). Suppose 2*f + 2 = -g*f. Put 4, 1, f in increasing order.
f, 1, 4
Let x(u) = u**3 - 8*u**2 - 9*u + 3. Let j be x(9). Sort 47, 4, j, 2 in decreasing order.
47, 4, j, 2
Suppose -5*q + 140 = 5*y, 2*y - 10 + 2 = 0. Let i = -27 + q. Suppose -7*a + 8 = 3*z - 3*a, -z - 2*a = -4. Sort z, i, 2.
i, z, 2
Let q = 18.91 - 19. Let u = 0.29 + q. Sort -0.1, u, 3/8.
-0.1, u, 3/8
Let w(f) = f + 22. Let b be w(-20). Put b, 5, -4 in descending order.
5, b, -4
Let t = -3 + 1. Sort -3, t, 5 in increasing order.
-3, t, 5
Let j be 0/((1 - -2)/3). Sort -5, -2, j, 1 in decreasing order.
1, j, -2, -5
Suppose -s - 44 = -3*u + 6, -4*s = -2*u + 40. Put -1, u, 0 in descending order.
u, 0, -1
Let d = -5.005 - -0.005. Put 2/15, 4/5, d in increasing order.
d, 2/15, 4/5
Let j = -6/13 - -28/117. Suppose 3*n + 8*n = -n. Sort n, 1, j.
j, n, 1
Let s = -6 - -4. Let y = s - 0. Let w = -4 + 0. Put w, 1, y in descending order.
1, y, w
Let i(p) = -5*p - 1. Let o be i(-3). Let b be (2 - 0)/(7/o). Let a be ((-2)/(-6))/(8/(-6)). Put a, -1/5, b in descending order.
b, -1/5, a
Let u(v) = 10*v**3 - 11*v**2 + 5*v. Let j(d) = 3*d**3 - 4*d**2 + 2*d. Let s(b) = -7*j(b) + 2*u(b). Let x be s(5). Suppose -2*p = -7*p + 20. Sort 3, p, x.
3, p, x
Let q = 2/69 + -148/345. Let l = -13.7 + 8.7. Put -0.5, q, l in decreasing order.
q, -0.5, l
Let i = 1 + -0.99. Let j = i + 0.29. Put j, 3, -2/9 in ascending order.
-2/9, j, 3
Suppose 50 = 14*a + 11*a. Let w(c) = -c**2 - 5*c - 4. Let y be w(-5). Put a, y, -10 in decreasing order.
a, y, -10
Let i be -1 + 3/((-15)/(-2)). Let u be (-4)/(-6) - (-100)/(-6). Let k = u + 11. Put i, k, -2/9 in decreasing order.
-2/9, i, k
Let d be 34/(-10) - ((-36)/(-10) + -3). Let p be (-1)/4*-2*0. Sort p, d, -2 in ascending order.
d, -2, p
Let v = 0 - -1. Suppose 20 = 3*i - 7*i. Suppose -5*g + 15 = f - 0, 4*g + 5*f = -9. Sort v, i, g.
i, v, g
Let a = -269/2 - -134. Sort 0.1, a, 1/3, 3 in decreasing order.
3, 1/3, 0.1, a
Let t = 2 + 0. Sort t, 8, -2, -4 in descending order.
8, t, -2, -4
Let z be (-2)/1 - (-57)/24. Sort -4, z, 3 in ascending order.
-4, z, 3
Let i = 0.66 - 11.26. Let g = i + 11. Sort -2, g, 1/6.
-2, 1/6, g
Let o = 0 - 4. Suppose 11*y - 73 = -128. Sort 5, o, y in ascending order.
y, o, 5
Let o = -0.7 + 0.4. Put 2, 3, o in ascending order.
o, 2, 3
Suppose -3*i = 3, 0 = -3*g + 2*i + 2*i - 5. Let q = 0 - -2. Suppose 5*v = -19 - 6. Sort g, q, v in ascending order.
v, g, q
Let y be 2 - (35/10 + -2). Sort 0.1, y, 0.2, -1 in ascending order.
-1, 0.1, 0.2, y
Let w = 14 - 12. Sort 4, 3, w.
w, 3, 4
Suppose 5*h = -0*h + 5. Suppose -5*p - 2*m + 22 = 8, -2 = -m. Put -1, p, h in decreasing order.
p, h, -1
Suppose 6*z - 12 = 12. Suppose 2 = 2*p - 2. Suppose -4*q + 2*a = 5*a + 9, 2 = p*a. Put q, z, 0 in increasing order.
q, 0, z
Let k = -2.01 + 2.04. Sort -1/3, -1/5, -1, k.
-1, -1/3, -1/5, k
Let p = -42 + 45. Sort -2, -9/2, p, -0.3.
-9/2, -2, -0.3, p
Let g(h) = h**3 - h**2 - 2*h + 2. Let a be g(2). Let s = 0.3 - 0.2. Let u = 76 - 77. Sort a, s, u.
u, s, a
Let t be (2/4)/(3/6). Let f(u) = -2*u**3 - 5*u**2 - 3*u + 2. Let j be f(-2). Sort j, 2, t in descending order.
j, 2, t
Let d(x) = x**3 - 5*x**2 - 7*x + 3. Let h be d(6). Put h, 5, -1 in decreasing order.
5, -1, h
Let c = 120 + -118. Sort 4, c, -5, 5 in increasing order.
-5, c, 4, 5
Let r(s) = -s - 6. Let q be r(-4). Put 3, -4, q in descending order.
3, q, -4
Let g be -3 + 2/8*4. Let t = -4 - g. Let a be (-1 - (0 - 2))*-5. Sort 5, t, a.
a, t, 5
Let m = 0.8 - 0.5. Let d = -33 + 32.8. Sort d, m, -5 in decreasing order.
m, d, -5
Let i = 2 + 1. Let a = 0 - 0.1. Let z = 0.4 - a. Sort i, z, 5.
z, i, 5
Let n = 899 - 5527/6. Let w = n + 22. Put 0.1, w, -3/8 in decreasing order.
0.1, w, -3/8
Let r = -17.7 - -18. Let t = 10 - 15. Put 0.5, r, t in descending order.
0.5, r, t
Let i(j) = -j**2 - 4*j + 7. Let w be i(-5). Let z be (w/(-6))/((-3)/27). Let o be z*(1 + 8/(-9)). Sort o, 1, -4 in decreasing order.
1, o, -4
Let s = -22 + 26. Sort 5, s, -4 in increasing order.
-4, s, 5
Suppose -6 = 3*s - 5*s. Let n(b) = -b + 2. Let w be n(s). Suppose 7*l - 2*l = -4*p - 18, -12 = 5*p + l. Put w, -5, p in decreasing order.
w, p, -5
Let d = 1 + 20. Suppose -5*l + 1 = d. Suppose -8*i + 6 = -11*i. Sort 0, i, l in descending order.
0, i, l
Let o = -3514 - -3608.94. Let n = 93 - o. Let z = 0.06 - n. Sort z, 0.3, -5 in ascending order.
-5, 0.3, z
Let h(v) = 0*v + 2*v - 3*v. Let p be h(6). Sort 0.4, 1, p in decreasing order.
1, 0.4, p
Let v(q) = 9*q - 2*q**2 + 10 - 7 + q**2 - 8. Let x be v(8). Put 4, 1, x in descending order.
4, x, 1
Let o = 32 + -34. Sort 7, o, 1 in increasing order.
o, 1, 7
Suppose -3 = 13*r - 42. Put r, 23, -3 in increasing order.
-3, r, 23
Let i = -2 - -3. Let h = -0.17 + -12.83. Let z = 12.5 + h. Sort i, 5, z.
z, i, 5
Suppose -5*u + 3*j - 7 = -3*u, 4*u - 16 = -4*j. Let y(k) = k - 10. Suppose -2*h = -5*m, 5*h = 5*m + 25 - 10. Let g be y(h). Put u, g, 0.1 in decreasing order.
u, 0.1, g
Suppose -2*x - n + 61 = -6*n, -2*x + 2*n + 52 = 0. Let s = -11 - -16. Suppose 0 = 5*t + f + 10, t - s*f - x = -t. Put 3, t, -5 in descending order.
3, t, -5
Let h = 27.5 - 27. Put h, 0.02, -4 in decreasing order.
h, 0.02, -4
Let o be 2/(1 + -2)*2. Let n be 4/35 + o/(-14). Let x(r) = -r - 2. Let v be x(-2). Sort -0.4, v, n in descending order.
n, v, -0.4
Let g = 0 - -5. Let c = 12 + -13. Put -4, c, g in descending order.
g, c, -4
Let n(l) = 2 + 2 - 1 + l. Let u(i) = 2*i**2 - 19*i + 6. Let b be u(9). Let g be n(b). Put -4, 1, g in dec
|
{
"pile_set_name": "DM Mathematics"
}
|
se -9*t + 31*t = 11880. Does 5 divide t?
True
Does 72 divide 4/9 + 248784/108?
True
Let q = -11 - -13. Let i(j) = 2*j**3 - j**q - 3 + 2*j - j**3 + 21. Is i(0) a multiple of 6?
True
Suppose 2*a + 10 = w + 5*a, -5 = -5*a. Let m(x) = 23*x - 21. Is 30 a factor of m(w)?
False
Let c = -77 - -40. Let x = 55 + c. Does 12 divide x?
False
Suppose -4*g - 2*a - 264 = 0, 2*g + a = -4*a - 140. Does 5 divide g/(-8) + 1/(-8)?
False
Let w = 4928 - 2151. Is w a multiple of 57?
False
Let o(a) = 1. Let x(n) = 19*n**2 - 2*n + 4. Let y(z) = -3*o(z) + x(z). Is 6 a factor of y(-2)?
False
Suppose 0 = 2*x - 4 - 0. Let a = -32 - -82. Suppose 0 = -x*b - a + 164. Is 19 a factor of b?
True
Let d(s) = -2*s**3 + 32*s**2 + 5*s - 26. Is d(10) a multiple of 54?
False
Suppose -13 + 18 = -5*b, -t + 5*b + 983 = 0. Does 18 divide t?
False
Let m(q) = -3*q + 21. Let t(r) = 5*r - 20. Let g(l) = 5*m(l) + 4*t(l). Does 15 divide g(10)?
True
Let d = 28 + 2. Suppose d = 5*x + 5*a, 11 = 3*x + a + 1. Suppose v - x*s - 32 = 0, 4*s + 127 = 3*v + 41. Is 11 a factor of v?
True
Let v(p) = p**2 - 14*p + 13. Let f be v(13). Suppose 42*s - 43*s + 120 = f. Does 30 divide s?
True
Let d be -6*(-3)/(-18)*-3. Let i be (1/d)/(2/36). Suppose -40 = -10*s + i*s. Is 10 a factor of s?
True
Suppose 396 = -77*p + 80*p. Let a = p - 42. Is 9 a factor of a?
True
Is ((-6)/15*-24)/((-12)/(-560)) a multiple of 32?
True
Let u be (6/(-9) - 0)*-6. Let l(m) = -u + 3*m + 15 - 8*m. Is 14 a factor of l(-9)?
True
Suppose a - 6 = 3*a, -2*a - 1450 = -2*d. Does 35 divide d?
False
Let j be (161 - 2)/(12/8). Let b = 187 - j. Is 9 a factor of b?
True
Suppose 0 = 3*l - 18 - 33. Suppose -2*r - z = -l, 5*r - 2*z = -3*z + 44. Is 4 a factor of r?
False
Let d(a) = -4*a**3 + 6*a**2 - 30. Does 13 divide d(-5)?
False
Let g(d) = 31*d**2 - 5*d + 3. Does 13 divide g(2)?
True
Is (-32)/(-56) + (-54668)/(-28) a multiple of 9?
True
Suppose 17 = c - 213. Suppose -2*m - y + 113 = -0*m, c = 4*m - 2*y. Does 10 divide m?
False
Let k(t) = t**3 - 7*t**2 + 11*t - 13. Let u(r) be the second derivative of -r**4/12 - 3*r**3/2 - r**2 - 7*r. Let s be u(-8). Does 8 divide k(s)?
False
Let w(j) = -j - 20. Let t be w(-12). Is 2 a factor of 22/(-4)*16/t?
False
Let c(n) = 3*n**2 + 3*n - 4. Let s be c(-3). Let v(k) = 2*k + 32. Does 15 divide v(s)?
True
Suppose 0 = 5*n + 3*y - 344, -n = -3*y + 20 - 78. Let j = n - 39. Is 14 a factor of j?
True
Suppose -387 = -5*q + 853. Is q even?
True
Suppose 10 = t + 6. Suppose -x = -4*h + 18, -3*h = t*x - 5*h + 2. Suppose d + 3*d = 4*p - 160, d - 74 = -x*p. Is 11 a factor of p?
False
Let m(a) = a**2 - 6*a + 6. Is 13 a factor of m(-6)?
True
Suppose -4*a - 1088 = 4*n - 3620, -3*n = -a - 1887. Suppose 0 = -26*q + 21*q + n. Does 38 divide q?
False
Suppose 87*z - 30 = 90*z. Let s = z + 74. Is 8 a factor of s?
True
Suppose -4*c = 3*a - 1338, 0*a - 5*c - 427 = -a. Is 4 a factor of a?
False
Let r = -22 + 12. Let n be (-4)/r + 28/5. Does 18 divide (n/(-7))/((-1)/21)?
True
Suppose 15*i - 2430 = 7140. Is i a multiple of 19?
False
Let i(h) = h. Let f(q) = q. Let n(y) = f(y) + 2*i(y). Let c be n(6). Let r = c + -10. Does 3 divide r?
False
Suppose -3*z + l + 409 = -2*z, 0 = -4*l - 12. Is 29 a factor of z?
True
Let a be (-2)/(-8)*-2*-6. Let o be -2 + a - (4 + -6). Suppose -3*n = -21 + o. Is 2 a factor of n?
True
Let c(l) = l. Let s be c(0). Suppose 47*o = 52*o - 30. Suppose -11*g + o*g + 195 = s. Does 8 divide g?
False
Suppose 10*g - 11263 = 7037. Is g a multiple of 10?
True
Let n(v) = -37*v - 66. Does 31 divide n(-11)?
True
Suppose i - 303 = -3*w, 3*w = 2*i - 2*w - 661. Suppose 2*a = -a + i. Is 20 a factor of a?
False
Suppose 4*n - 174 = -3*i + 59, 2*n + 174 = 2*i. Is i a multiple of 5?
False
Let h = 5 - -3. Let k(u) = -u**3 + 8*u**2 - u + 10. Let n be k(h). Suppose 4*l = -n*d + 66, 0*l + 42 = 3*l + 3*d. Is 6 a factor of l?
False
Let j = -133 + 393. Is 10 a factor of j?
True
Suppose -4*p - 12 = -5*g, 0*g = 4*g. Is 27 a factor of -2 + 2*28 - (p - -3)?
True
Let h = 322 - -613. Does 11 divide h?
True
Let z = -12 + 14. Suppose 7*v + z*v = 387. Does 12 divide v?
False
Let p(o) = 32*o**3 - o**2 - o + 6. Does 32 divide p(2)?
True
Does 5 divide 435 - -13 - 5/((-15)/21)?
True
Let i be 16/10*(-5)/(-2). Suppose i*o = -2*g + 56, -8 = -3*o - g + 34. Is o even?
True
Suppose -1209 = 12*s - 6093. Does 11 divide s?
True
Suppose -4*n + 31 = -n + 5*k, -n + 3*k - 13 = 0. Suppose 3*h + 166 = 4*h + 5*t, 4*h - n*t - 620 = 0. Is 12 a factor of h?
True
Let x be 16/56 + 4/(-14). Suppose -k - 2*k = -6. Suppose x = -5*a - 3*q + k*q + 205, 2*a - 59 = -5*q. Does 15 divide a?
False
Suppose -a + 3*g - 20129 = 0, 4*a + 28646 = -5*g - 51819. Is (-4)/30 + a/(-150) a multiple of 14?
False
Let m(v) = v**2 - 11*v + 9. Let t = 35 - 25. Let k be m(t). Does 22 divide 2 - 2 - -21 - k?
True
Suppose -2*l + 3*a = -8, 6*l - 2*l = -3*a + 16. Suppose 0 = -0*z + z - 2*w + 7, l*z = 4*w - 12. Let q(i) = 11*i**2 - 1. Does 10 divide q(z)?
True
Let b = 116 - 83. Let n = 59 - b. Is n a multiple of 4?
False
Let n(i) = 9*i - 24. Let u be n(8). Suppose -47*m - 34 = -u*m. Is m a multiple of 13?
False
Let p(f) = 2*f**3 - 22*f**2 + 7*f - 13. Let j be (-11 + 9)*(-11)/(-4)*-2. Does 8 divide p(j)?
True
Let k(u) = -u**3 - u**2. Let f(v) = -3*v**3 - v**2 - v + 5. Let a(n) = f(n) - 4*k(n). Is a(-3) a multiple of 2?
True
Let k(w) = w**2 + 6*w + 5. Let c be k(-1). Suppose c = f - 2*s - 62, 0*f - 4*f + 237 = 3*s. Does 12 divide f?
True
Suppose -3*d + 0*d - n - 2 = 0, -3*n = 15. Let j(q) = 17*q**2 + 2*q - 1. Is 14 a factor of j(d)?
False
Let y = -8 - -6. Let n = y - -9. Is 9 a factor of (-2)/n + (-466)/(-14)?
False
Suppose 1321 = -7*r + 3470. Is r/3 - (4/(-6) + 1) a multiple of 34?
True
Suppose -a + 4*y + 68 = 0, -2*y = -4*a - 7*y + 188. Is 78/a + (-154)/(-4) a multiple of 23?
False
Suppose -5*k + 490 = -0*k - 4*j, 98 = k + 3*j. Let b = k - 49. Is b a multiple of 23?
False
Let k = 167 - 55. Is k a multiple of 14?
True
Let z be 3/(6*(-2)/(-8)). Suppose 30 = 7*y - y. Suppose 0 = o + 5*b - 3*b - 38, 0 = -y*o - z*b + 230. Is o a multiple of 23?
False
Let k be ((-2)/(-3)*30)/(-1). Let r = k - -11. Let m = r + 23. Is 3 a factor of m?
False
Let n(c) be the second derivative of 22*c**2 + 0 - 1/6*c**3 - 7*c. Does 22 divide n(0)?
True
Suppose -18 = -10*p + 4*p. Suppose 6 = -p*h - 3*o, -3*h - 2*h = -3*o - 30. Suppose a = h*a - 166. Does 16 divide a?
False
Let g = 906 - 378. Is 16 a factor of g?
True
Let v be (10/3)/((-2)/3). Let q be 48/60 + (-41)/(-5). Let b = v + q. Is b a multiple of 2?
True
Let m be (994/71)/(1/1 + 1). Suppose 5*j - 1999 = -649. Suppose m*r - j = 2*r. Is 12 a factor of r?
False
Let o(u) = -11*u - 20. Is 2 a factor of o(-6)?
True
Suppose 0*m - 20 = -5*m. Suppose m*v - 152 = 104. Is 9 a factor of v?
False
Suppose -13*p + 54 = 15. Suppose -5*k = 3*l - 133, -l = p*k + k - 56. Is 4 a factor of l?
True
Let t(p) = -1 + 17*p**3 - p**2 - p - 3*p**3 + 4*p**2 + 10*p**3. Is t(1) a multiple of 16?
False
Suppose 4*l - 3*b = 26, -5*l - 19*b + 15 = -14*b. Is 4 a factor of l?
False
Suppose 0*n - n = 338. Let i = 489 + n. Is 32 a factor of i?
False
Does 9 divide 338 + 24/6 + -9?
True
Suppose 36 + 60 = p. Suppose 4*y + p = 7*y. Is y a multiple of 8?
True
Suppose -5*z = 4*j - 1849, -3*j + 6*j - 5*z = 1343. Is 57 a factor of j?
True
Suppose 53 + 33 = 4*l - 2*p, 0 = -l - p + 29. Suppose i - l = 3*c - 6*c, 4*c + 176 = 4*i. Is i a multiple of 16?
False
Let j(y) = -17*y + 68. Let c be j(3). Let m be (-2)/(-3) - (-158)/6. Suppose m = d - c. Is d a multiple of 11?
True
Suppose 24 = 7*y - 32. Let h(j) = 5*j**2 - 9*j - 18. Does 27 divide h(y)?
False
Let f = -9 - 1. Let w(u) = -3*u - 24. Let o be w(f). Let s(m) = m**2 - m + 8. Does 8 divide s(o)?
False
Let h(b) = b**3 - 16*b**2 - 25*b + 50. Does 24 divide h(18)?
False
Suppose -5*j - 75 = -8*j. Let k = 27 - j. Is 30 a factor of (-3 - (-31)/1) + k?
True
Suppose k = 659 + 169. Suppose 8*p - 2*p = k. Is p a multiple of 23?
True
Suppose -4*l + 765 = -51. Suppose -7*q - l = -3*q. Let k = -35 - q. Is 5 a factor of k?
False
Let u = -282 + 649. Is 39 a factor of u?
False
Let d be (-58)/(-4)*2 - 3. Suppose -d = -w - 8. Let z = w - -60. Does 26 divide z?
True
Let w(i) = -195*i + 30. Let o be w(6). Does 18 divide o/(-9) + ((-10)/(-3))/(-5)?
True
Let r(b) = -4*b**2 - 7*b + 8. Let q(s) = 5*s**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ q + 0*q**2 + q**2 - 2*q**2 + (-3 + 3 - 2*q)*(4*q - 3*q - 2*q) + (-3*q + 0*q + 2*q)*(3*q - 8 + 8).
-2*q**2
Expand -2*o**4 - 1 + 1 + (-3*o**3 + 5*o**4 + 3*o**3)*(-2 + 1 + 0) - 2*o**4 - 4*o**4 + 4*o**4.
-9*o**4
Expand (-2*s**2 + 2 - 2)*((0*s - s + 0*s)*(4 - 5 + 0) - 6*s + 8*s - 7*s).
8*s**3
Expand (-1 + 2*b + 1)*(-7*b + b - 3*b + (0 + 4 - 7)*(-3*b + 2*b + 3*b)).
-30*b**2
Expand (n**2 - 5*n**2 + 2*n**2)*(-2*n + 3*n - 2*n) + (n + 0*n + n)*(2 - 3 - 3)*(3*n**2 - 3*n**2 + 2*n**2).
-14*n**3
Expand (-k**2 + 0 + 0)*(2*k + 4*k + 0*k) + (-4 + 0 + 1)*(1 + k**3 - 1).
-9*k**3
Expand (-2*s + 0 + 0 - 1)*(12 + 7*s - 12)*(-2*s + 2*s + s) + (2*s - 2 + 2)*(3*s**2 - 3*s**2 + s**2).
-12*s**3 - 7*s**2
Expand -5 + 5 - s + (6 - 1 - 2)*(-s + 0*s - s) - 4*s + 3 - 3.
-11*s
Expand (2*u**2 + 2*u**2 - u**2)*(3*u - u + 7*u).
27*u**3
Expand 0*w + w - 2*w + w**2 - 8 + (2 - 2*w - 2)*(0*w - 2*w + 4*w).
-3*w**2 - w - 8
Expand (2*g - 2*g + 2*g)*(4*g - 6*g + 6*g).
8*g**2
Expand -2*u**2 + 5*u**2 + 0*u**2 + 2*u - 2*u + 2*u**2 + (3*u - 3*u - 2*u)*(-6*u + 3*u + u) + 2*u**2 - u + u + 2*u**2 - 5*u**2 + u**2 - 2 + 2 - u**2.
8*u**2
Expand (1 + 1 + 0)*(n**3 - 18*n**3 + n**3).
-32*n**3
Expand (-2*c**2 - c**2 + 4*c**2)*(-c + 0*c + 3*c) + 2*c**3 + 9*c**3 + 0*c**3 + 5*c**3 - 3*c**3 + 0*c**3.
15*c**3
Expand (-29*p + 72*p - 34*p)*(-1 + 2 - 3).
-18*p
Expand (-2*p**2 + p - p)*(4*p**2 - p**2 - p**2) - 8*p**4 + 0*p**4 + 6*p**4 - 2*p.
-6*p**4 - 2*p
Expand (-55 + 30 - 55)*(-2*m + 3*m + m).
-160*m
Expand 9*x**4 + 5*x**4 - 11*x**4 + (2*x**3 - 2*x**3 - 2*x**3)*(0*x + x + x) + 2*x**4 + 2*x - 2*x.
x**4
Expand 7*d**3 - 6*d + 6*d - d**3 - 2*d**3 + 4*d**3 + (d**2 - 2*d**2 + 3*d**2)*(d + 5 - 5).
10*d**3
Expand (3 - 2 + 0)*(1 - 17*x**2 + 17*x**2 + x + x**3).
x**3 + x + 1
Expand (4*f**3 + 11*f - 11*f)*(4*f - 2*f - 2 + f) - f**3 - f**4 + f**3.
11*f**4 - 8*f**3
Expand (-n - n + 3*n)*(-4 + 1 + 4)*((-1 + 3 - 1)*(1 + 1 + 0) + 2 + 1 - 2).
3*n
Expand (-4 + 4 - 5 + (0 - 4 + 5)*(-1 - 1 + 0) - 2 + 1 + 0)*(-4*b + 12 - 12).
32*b
Expand (-2*t + 3*t + 7*t)*(0 + 9*t + 0).
72*t**2
Expand (3*h - h - h)*(1 - 3 - 6*h + 1)*(-1 + 1 - 2*h).
12*h**3 + 2*h**2
Expand (-122 - 36 + 13 - 27)*(0*h**3 + 3*h**3 - 4*h**3).
172*h**3
Expand (1 + 1 + 0)*(m**2 - m**2 - 2*m**2)*(-4 - 9 + 39).
-104*m**2
Expand (5*m - 3*m + 0*m + (-2*m + m + 0*m)*(0 + 6 - 4) + m + m - 4*m)*(5*m**3 + 12*m**3 - 14*m**3).
-6*m**4
Expand (-v + 3*v - 3*v)*(6 - 4 - 1)*(3 - 13 - 5).
15*v
Expand u**2 + 2*u**2 - u**2 + 6*u**2 - 2*u**2 - 2*u**2 + (3 - 3 - 2*u)*(2*u + u - 2*u) - u**2 - u**2 + 3*u**2 - 14*u + 6*u**2 + 14*u.
9*u**2
Expand (2 + 2 + 1)*(-4*o**2 + 8 - 8)*(2*o - 2*o - 2*o).
40*o**3
Expand (-q + 3*q - 3*q)*(-7*q - 1 + 2*q + 3*q).
2*q**2 + q
Expand (g**2 + 0*g**2 + 0*g**2)*(0*g + 1 + g + 1)*(-5 + 3 + 3).
g**3 + 2*g**2
Expand (-3 + 2 - 1)*(-z**2 + 2*z**2 + z**2) + 3*z**2 - 3*z**2 - z**2 + 9 + 16*z**2 - 9.
11*z**2
Expand (19*b + 8*b + 4*b)*(-5*b**2 - b**2 + b**2).
-155*b**3
Expand (2 - 2 + 2*j)*(3*j**2 + 0*j**2 + 0*j**2)*(3*j - 5*j + 4*j).
12*j**4
Expand (2 + 4 - 5)*(5*y**5 - 2*y**5 - 5*y**5) + 3*y**4 - y**5 - 3*y**4 - 3*y**5 - y**5 + y**5 + 3*y**5 - 5*y**5 + 3*y**5.
-5*y**5
Expand (-t + 3 - 3 + (-3 - 2 + 4)*(t + 0 + 0))*(12*t**2 + 8*t - 8*t).
-24*t**3
Expand (2*b**3 + 1 - 1)*(b**2 - 2*b**2 + 3*b**2) + 2*b**5 - b**5 + b**5 + b**4 - 7*b - 2 - 3*b**5 + 7*b.
3*b**5 + b**4 - 2
Expand (0*s + 3*s - 2*s)*(0*s**2 - s**2 - s**2) + 0*s**3 + 2*s**3 - 4*s**3 + (-6*s**3 + 2*s**3 + 3*s**3)*(2 + 1 + 0) + 2*s**3 - s**3 - 3*s**3.
-9*s**3
Expand (0 + l + 0)*((2 - 2 + 2*l)*(l**2 + 0*l**2 + 0*l**2) + 2*l**3 - 2*l**3 - l**3 + 0*l**3 - l**3 + 2*l**3 + 2*l**3 - 3*l**2 + 3*l**2).
4*l**4
Expand (-1 + 1 + 2)*(-3*k**2 - 2*k + 3*k**2 + 2*k**2).
4*k**2 - 4*k
Expand 0 + 2 + 0*r - 2*r + (-1 - 2 + 4)*(-5*r - r + 4*r).
-4*r + 2
Expand (-3*d - d**2 + 3*d)*(d**2 - 8*d**2 + 6*d**2)*((2*d - 5*d + 2*d)*(0 + 1 - 3) + 4*d - 2*d + 0*d + d + 4 - 4).
5*d**5
Expand (-4*a - 2 + 2)*(a**4 + 0*a**4 + 0*a**4).
-4*a**5
Expand (-5*a**3 + 4*a**3 + 4*a**3)*(2 + 7 - 1 + (5 - 2 - 1)*(2 - 2 + 2) - 1 + 0 + 2).
39*a**3
Expand (3*z**2 + 3*z - 3*z)*(z**3 - 3*z + 3*z) - z**5 + 0*z**5 + 0*z**5 - z**2 + z**2 - 3*z**5.
-z**5
Expand (-z + z + 3*z)*(-1 + 1 + 4*z).
12*z**2
Expand ((q**2 - q**2 + q**3)*(-3 + 1 - 1) - 3 + 3 - q**3)*(-q - 5*q - 3*q).
36*q**4
Expand (4*y**5 - 2*y**5 - 4*y**5)*(3 - 2 - 3) + 3*y**4 + 3*y**5 - 3*y**4 + (3 - 3 + 2*y)*(0*y**4 - y**4 + 0*y**4).
5*y**5
Expand -3*q + 3*q - 1 + q + (-q - 4*q - 3*q)*(-2 + 0 + 4).
-15*q - 1
Expand (-2*c**3 - c**3 + 4*c**3 - 2 + 2 - 3*c**3 + (3 - 2*c - 3)*(-3*c + 3*c + 2*c**2))*(4 - 4 + 2)*(-4*c + c + 5*c).
-24*c**4
Expand (-2*g - 3*g + 4*g + 2*g**2)*(5*g + 4*g + 2*g).
22*g**3 - 11*g**2
Expand (1 - 2 + 3)*(-4*b**5 + 3*b - 3*b) + (-b + b + b**3)*(-b**2 - b**2 + 3*b**2).
-7*b**5
Expand (-2 - 8 - 1)*(0*g + 0*g + g).
-11*g
Expand ((-1 - 3 + 6)*(5 - 5 + 1) - 3 + 0 + 4 + 2 + 1 - 2 + (-4 - 2 + 4)*(2 + 2 - 2) - 5 + 1 + 3)*(-39*k - 335 + 335).
39*k
Expand -6*l + 3*l**2 + 6*l - 3*l**2 + 4*l**2 + l**2 + (0*l + 0*l + l)*(l + 0 + 0) + (-2*l - 2*l + 2*l)*(-3*l + 3*l + 2*l).
2*l**2
Expand -28*u**2 - 91*u**2 - 96*u**2 + (3*u + 0*u - u)*(-u + 0*u + 2*u).
-213*u**2
Expand -2*z**3 - 4*z**2 + 4*z**2 + (-9*z + z - 6*z)*(z**2 + 3*z**2 - 3*z**2) + 4*z**3 + 0*z**3 - 2*z**3.
-14*z**3
Expand 15*k - 5*k**3 - 15*k + (2 - 2 + 1)*(-4*k - k**3 + 4*k) + k**3 - k**3 - k**3 + k**3 - k**3 - k**3.
-8*k**3
Expand -3*z**5 + 5*z**5 - z**5 - 2*z**5 - 5*z**5 + 3*z**5 - 4*z**4 + 4*z**4 + 2*z**5 + (-2*z + 1 - 1)*(z**4 + z**4 + z**4).
-7*z**5
Expand 3*o**2 + 6 - 6 + (3*o + 3*o - 4*o)*(o + o - o) + (1 - 4 + 2)*(0 - o**2 + 0).
6*o**2
Expand (2 - 3 - 1)*(-4 - 2 + 3)*(-y - y - y).
-18*y
Expand ((2 + 0 - 3)*(2*o + o - 2*o) + 2*o - 2*o + 2*o + o + 1 - 1)*(-3*o**3 - o**3 + o**3).
-6*o**4
Expand (21*f + f**3 - 21*f)*(4 - 2*f**2 - 4 + (-f + f + f)*(1 - 1 - f) - f + f - f**2 + (4 - 4 - 2*f)*(-4 + 4 - f)).
-2*f**5
Expand (-74*a**2 + 36*a**2 + 28*a**2)*(1 + 4 - 3) - a**2 + 0*a**2 - a**2 + (-a + 4*a - 4*a)*(-5*a + a + 5*a).
-23*a**2
Expand (3*l - l - l)*(-l + 5*l - 5*l)*(-5 + 0 + 3).
2*l**2
Expand (-2*b - 1 + 1)*(2 - 2 + 2)*(2*b + 3 - 3)*(-4*b - 5*b + 5*b).
32*b**3
Expand (-6 - 5*h + 7 + 0)*(-2*h + 0*h + 0*h).
10*h**2 - 2*h
Expand (-2*y**3 - 2*y**3 - 2*y**3 + (-2*y + 2*y + 2*y)*(0*y**2 + 0*y**2 + 2*y**2))*(-5*y + 2*y + 2*y).
2*y**4
Expand (-41*g + 37*g - 29*g)*(0*g**3 + 2*g**3 - 4*g**3 + g**2).
66*g**4 - 33*g**3
Expand (-2 + 5 + 12*v - 8*v)*(-2*v**2 - 1 + 1).
-8*v**3 - 6*v**2
Expand 3*k**5 + 20*k**2 - 20*k**2 + (6*k**2 - 4*k**2 - k**2)*(k**3 + 0*k**2 + 0*k**2).
4*k**5
Expand (-3 + 2*m**3 + 3)*(68 - m + 0*m - 103).
-2*m**4 - 70*m**3
Expand (2 + 2*c**3 - 2)*(102*c - 55 + 55).
204*c**4
Expand (4 - 2*s - 4)*(10 - 5 - 6).
2*s
Expand 3*k + 8*k + 3 + 2*k + (-1 + 1 + 2)*(5*k - 2*k - 4*k) + 0*k - 2*k + k.
10*k + 3
Expand (0*m - 3*m + 2*m)*(2*m - m + 0*m).
-m**2
Expand (2*u - 2*u - u)*(-21 + 21 - u)*(4*u + 3*u - u).
6*u**3
Expand (-7*o - 17*o - 29*o)*(-6*o + o + 3*o).
106*o**2
Expand (4*g - g - g + 10 - 10 - g + 2 - 2 - 2*g + (1 - 5 + 1)*(-3*g + 4*g - 3*g) + g + 1 - 1)*(g - g - 2*g).
-12*g**2
Expand (-i**2 - i**2 + 4*i**2)*(13*i + 37*i**2 - 13*i).
74*i**4
Expand -2*g**2 - g**2 + 4*g**2 + 2*g**2 + 0 + 0 + (0 + g + 0)*(2*g + 0*g + 0*g) - g + g + 2*g**2 + g**2 - 5*g**2 + 0*g**2.
3*g**2
Expand (-679 - 56*a**2 + 679)*(-4*a + a + 2*a)*(-a**2 + 4*a - 4*a).
-56*a**5
Expand (-u + 1 + 0*u - u)*(4*u**2 - 4*u**2 + u**3) - 2*u**4 - 2*u**4 + 3*u**4 + (u**3 - u**3 + u**3)*(-u + 1 - 1).
-4*u**4 + u**3
Expand (-5 + 0 + 4 + (-3 + 3 - 2)*(-3 + 4 - 3) + 2 - 5 + 2)*(-13*k**2 + 2 - 2).
-26*k**2
Expand 3 - h**5 - 3 + (1 - 1 - 2*h**2)*(1 - 1 + h**3) + h**5 - 2 + 2 - h**5 - 3*h**5 + 2*h**5 - 3*h**5 - 3*h**5 + 5*h**5 + 2*h**5 - 1 + 4 - 1.
-3*h**5 + 2
Expand 0*z**2 - 14*z**2 - 16*z**2 + (z + 3*z - 2*z)*(0 + 0 - z).
-32*z**2
Expand (-1 + 0 - 2)*(-18 + 3*g + 18)*(1 - 2 + 2).
-9*g
Expand (0 + 1 + 1)*(-3*a - 1 + 1)*(-1 - 3 + 5).
-6*a
Expand (3*c + 2*c - 3*c)*(c**3 + 4*c**3 + 3*c**3).
16*c**4
Expand 4*n**2 - 4*n**2 - n**2 + (n**2 + 0*n**2 + 0*n**2)*(2 - 2 + 1) - n**2 + 5*n**2 - 2*n**2 + 2*n**2 - 2*n**2 - n**2.
n**2
Expand (1 - 1 - 4)*(3*f + 4*f - 5*f).
-8*f
Expand 5 + l**3 - 5 + (0 - 2*l**2 + 0)*(0*l + l - 3*l).
5*l**3
Expand 21*t**5 - t**5 - 2*t**5 + (2*t - 3*t + 4*t - 2)*(4 -
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - r. Which is the smallest value? (a) x (b) 1 (c) q
a
Let k = -0.4 + 0.6. Let h = -2.3 + 3.2. Let y = -1 + h. Which is the second smallest value? (a) 3 (b) k (c) y
b
Let a = 0.014 + -0.214. What is the second biggest value in a, 5, 11?
5
Let n = 0.1 - 0.16. Let v = -0.34 + n. Which is the smallest value? (a) v (b) -3 (c) 0
b
Let x = 7 + 1. Let v = 1 + -8. Let z = v + x. Which is the second biggest value? (a) -4 (b) -0.5 (c) z
b
Suppose 2*b - b = 4*w - 16, -4*b = -w + 4. Let h = 0.5 - -2.5. Let x be (-3)/(-14)*208/(-78). What is the second biggest value in w, h, x?
h
Let n = -1.94 + -0.06. Let t = 61/279 + 2282/5301. Let p = t + 1/57. Which is the biggest value? (a) p (b) n (c) 0.5
a
Let c = 53/2 + -109/4. Let f = 221.03 - 223. Let a = 0.03 - f. What is the biggest value in c, -3/5, a?
a
Let f = -2 + 2. Let w be 4 - (4/(-6))/((-64)/312). What is the second smallest value in -0.1, f, w?
f
Suppose -16 = -5*t + 3*t - 2*f, -3*t - 2*f = -19. Let n = 1 - t. Let k = 8 + -4. What is the third smallest value in -5, k, n?
k
Let d = -60.4 - -55. Let n = -0.06 - 4.94. Let k = n - d. Which is the third biggest value? (a) -1 (b) 2/3 (c) k
a
Let z = 0.9 + -10.9. Which is the third smallest value? (a) -2/23 (b) -5 (c) z
a
Let v = -184 - -1290/7. Which is the third smallest value? (a) -1/6 (b) -0.5 (c) v
c
Let j = -0.17 - 1.13. Let a = j - 3.7. What is the second smallest value in 2/9, -1, a?
-1
Let s = 5 - 2. Suppose -3*v + s = -6. Let q be 0 + v - (-5)/(-2). Which is the third smallest value? (a) -2/25 (b) -0.5 (c) q
c
Let x = -2 - -15. Let b = x - 16. What is the biggest value in b, -1, -2?
-1
Let c = -0.2 + -0.8. Suppose 34*w + 24 = 26*w. What is the biggest value in -5, c, w?
c
Let d(j) = -j**2 + 11*j - 2. Let g be d(6). Let t be 1 + g/(-8) + 4. Which is the third biggest value? (a) -2/15 (b) t (c) -3/4
c
Let s be (-1)/3 - 20/(-6). Suppose -3*w = 3*n - 15, -5*w + 10 = n - s. What is the smallest value in n, 2/13, 2?
2/13
Let m = -1 + 0.96. Let r = m - 0.46. What is the second smallest value in -3/5, r, 0?
r
Let o be (7/28)/(2 + (-78)/40). What is the third smallest value in o, -0.01, -4?
o
Let d = -0.1 - 0.3. What is the smallest value in -2, d, 5?
-2
Suppose t - 1 + 2 = 0, -z + 4*t + 2 = 0. Suppose -2*l + 8 = -4*s - 0*l, 5*s + 32 = -3*l. Which is the second biggest value? (a) s (b) z (c) -0.5
b
Let z be (-18)/8 - (-4 - -1). Which is the fourth biggest value? (a) 1/5 (b) -1/2 (c) -3 (d) z
c
Let w be ((-4)/10)/(2/(-10)). Let o = w + -2. Which is the third smallest value? (a) -4 (b) o (c) 1/3
c
Let c = 13 - 12.91. Let a = c + -4.09. What is the biggest value in a, -8, 1/5?
1/5
Let m = -0.19 - -0.19. What is the biggest value in 5, -2/3, m?
5
Let l = -0.3 - -0.2. Let x = l + 0.2. Let w be ((42/49)/(-6))/(-1). What is the third smallest value in -3, x, w?
w
Let u = 0.32 + -24.32. Let v = u + 19. What is the second biggest value in v, -2/3, 5?
-2/3
Let p = -10.45 + 0.45. Which is the second smallest value? (a) 4 (b) 2/5 (c) p
b
Let g = 0.064 + -1.064. Which is the fourth biggest value? (a) 1/2 (b) 1/5 (c) 2/7 (d) g
d
Let g = -1 - -1.2. Let z = 0.047 - 0.447. What is the third smallest value in -0.2, g, z?
g
Let w = 0.02 + -0.12. Which is the third biggest value? (a) 1 (b) 3 (c) w
c
Let t = 250 - 253. Let m = -0.9 - -1. Which is the third smallest value? (a) m (b) t (c) -2/7
a
Suppose -5*a - 5*x + 2*x - 15 = 0, 0 = 5*x + 25. What is the smallest value in 2/7, a, 4/7, 10?
a
Let s = 4.9 + 0.1. Let w = -4.7 + s. Which is the biggest value? (a) w (b) 1/6 (c) -0.5
a
Let l(t) = 3*t - 13. Let z be l(6). Which is the second smallest value? (a) -1/2 (b) 2/19 (c) z
b
Let u be 39/2*-1*2. Let b be 1*-2*u/6. Let i be 1/(1/((-2)/b)). What is the second biggest value in -1/2, 1/4, i?
i
Let z = -1.5 - -1.5. Which is the smallest value? (a) 9 (b) z (c) -1 (d) 0.5
c
Let k = 137/2 + -70. Let o = 0.04 + -7.04. Let a = 4 + o. What is the biggest value in a, 0, k?
0
Let x = -62 - -66. Which is the second biggest value? (a) 5/4 (b) x (c) -0.28
a
Let k = 5.4 + -5.36. Which is the biggest value? (a) -5 (b) k (c) 2/9
c
Suppose -l = 4*l. Let u = -2 + 9. Let o = -6.7 + u. What is the second smallest value in o, -5, l?
l
Let k = 4.05 + -0.05. Let q = -9.14 + 0.14. Let b = q - -9.5. What is the smallest value in b, -3/5, k?
-3/5
Suppose 179 = 3*s - 4*y - y, -s + 5*y = -53. Let k be 1/(-5) + s/(-135). Which is the third biggest value? (a) 0.3 (b) k (c) 0.1
b
Let m = 4.4 + -0.4. What is the third smallest value in -0.3, m, -13?
m
Let i = 6 - 5.5. Which is the smallest value? (a) -1 (b) 0.1 (c) i (d) 17
a
Let h = -32.6 + 22.7. Let q = -10 - h. Let l = -1 - -4. Which is the biggest value? (a) q (b) l (c) -2/5
b
Let q = -22/7 + 23/7. Which is the biggest value? (a) -1/3 (b) 0.2 (c) q
b
Let b be 1 - 2/(-9)*-3. Let i = 40/77 - 12/11. What is the third biggest value in i, b, 2?
i
Let j(y) = y**2 - 3*y - 6. Let w be j(5). Suppose 0 = w*r - 2 + 14. Let h be 1/(1*r/(-9)). What is the third biggest value in h, -2/3, 4/5?
-2/3
Let r = -0.3 + 2.3. Let p = 596.3 + -596. What is the third smallest value in 5, r, p?
5
Let i be (12/(-10))/((-1)/5). Let j(g) = g - 2. Let q be j(i). Let x = -3 + 2. Which is the third smallest value? (a) 2/3 (b) q (c) x
b
Let y = -44 + 43.9. Which is the second biggest value? (a) 3/5 (b) y (c) 5
a
Let v = 0.997 - -0.063. Let g = -1 + v. Let p = g - 0.46. Which is the third smallest value? (a) 1/11 (b) -5/2 (c) p
a
Suppose 0*z - 2*z - 18 = 2*c, z = -3*c - 15. Let x be 10*(-2 - (z + 2)). Let d be (x/(-175))/(2/5). What is the smallest value in d, -0.1, -3?
-3
Let u = 0.9 + -0.88. Let l = u + 0.48. What is the third biggest value in -1, l, 2/5?
-1
Let q be (-3)/((-3)/2) + -1. Let t be -1*q + (-14)/(-10). Let o = 122 + -121. What is the biggest value in o, t, -1/6?
o
Let v = 197 + -191. Which is the third smallest value? (a) 1/5 (b) v (c) 0
b
Suppose z = 6*z + 3*n - 5, -2*z = -2*n + 14. What is the third smallest value in -5, -3, z?
z
Let u = -3.9 - 1.1. What is the second biggest value in -0.1, u, -4/5?
-4/5
Let z(m) = m**2 + 7*m - 3. Let o be z(-8). Which is the biggest value? (a) o (b) -5/6 (c) 2
a
Let r = -7 - -5. Which is the third biggest value? (a) 4 (b) r (c) 5
b
Let v = -1.09 + 1. Let m = v + -8.31. Let o = -8 - m. Which is the third biggest value? (a) -0.2 (b) 1 (c) o
a
Let i = 0 - 3. Which is the third biggest value? (a) 0.5 (b) i (c) -2/9
b
Let w = 6 - 4. Let g = 4.2 + -4. Let z = g - 0.3. Which is the biggest value? (a) -5 (b) z (c) w
c
Suppose 11*k - 2*k = 27. What is the biggest value in k, 0.4, -0.4?
k
Suppose -k - 123 = -4*k. What is the second biggest value in 1/4, k, 2/3?
2/3
Let g = 0.062 - 0.162. Which is the second smallest value? (a) g (b) 1/3 (c) 3 (d) 2/5
b
Let d = -19 + 21. Suppose f - 10 = -4*h - 4*f, -5*h + 2*f = 4. Which is the biggest value? (a) h (b) -2 (c) d
c
Suppose 6*r - 2*r = 0. What is the second biggest value in r, -4/5, 5?
r
Let p = 31 - 153/5. Which is the biggest value? (a) p (b) -2/3 (c) -0.4
a
Let d = 0.21 + -0.21. Which is the second biggest value? (a) 4/5 (b) d (c) -5
b
Let f = -2762221/24609 - -138/631. Let j = f - -3480/13. Let g = j + -157. Which is the biggest value? (a) -2/15 (b) g (c) 0.4
c
Let g = 0 - -1. Let d = 2 - g. Let k = -4 - -11/3. What is the smallest value in d, k, -1/5?
k
Let b = -858/7 + 123. What is the smallest value in 0, -0.1, -4, b?
-4
Let t = 0.8 + -1. Suppose -n = 3*n. Which is the biggest value? (a) t (b) n (c) -0.1
b
Let h(s) = -s**2 + 8*s - 4. Let y be h(7). Suppose 3*j = -g + 7, -y*g = -5*g + 8. Let t = -1321/7 - -189. Which is the smallest value? (a) j (b) -2 (c) t
b
Let q be 149/(-2 - 4/4). Suppose 122 - 318 = 4*w. Let r = w - q. What is the smallest value in 4, r, -4?
-4
Let d be -4 + 270/33 + -4. Which is the third smallest value? (a) 3 (b) -8 (c) d
a
Suppose 4 = -4*a + 12. Suppose 0 = -j - 3*j + 24. Suppose -j = a*y - 2. What is the smallest value in 2/11, -2/7, y?
y
Let s = -148 + 1040/7. What is the biggest value in -4/3, 1, s?
1
Let m = 0.083 + -1.083. What is the second biggest value in m, -3, 1/3, -62?
m
Let h = -13.12 + 13. Let z = h - 0.38. Which is the thir
|
{
"pile_set_name": "DM Mathematics"
}
|
0.2, 0, 6?
6
What is the nearest to -1 in 27, 7/6, 3, -0.135?
-0.135
What is the closest to 14/15 in 299395, 1/6, -7?
1/6
Which is the closest to -1/2? (a) -2/5 (b) -55 (c) 5 (d) 12 (e) 1.2
a
Which is the closest to 0.5? (a) -2/3 (b) -0.06 (c) -4/33 (d) -0.0123 (e) 0.3
e
Which is the closest to -0.1? (a) 36 (b) 3 (c) 0.4 (d) -2 (e) -3723 (f) -1/5
f
Which is the nearest to 0? (a) -0.5 (b) 1715921 (c) 1/8 (d) 0.08
d
What is the closest to 25 in -0.82, -24/37, 2, -0.1?
2
Which is the nearest to 0.1? (a) 14 (b) -0.0284 (c) -7/2 (d) 27
b
What is the nearest to -0.1 in 1/37, 3/7, 670/9, 1?
1/37
What is the nearest to -97 in -31, 1, -0.3, 0?
-31
What is the nearest to 0.0991 in -3, -0.2, -1/6, 16?
-1/6
What is the closest to -4654 in 0.2, 2, 1/6, -0.4?
-0.4
What is the closest to 2 in -3/67945, -58, 1?
1
Which is the closest to -0.2? (a) -5 (b) 0.3318 (c) 3 (d) 35 (e) 1
b
What is the closest to -3/7 in -0.06, 0.06, 12652?
-0.06
Which is the nearest to -1? (a) -2437/26 (b) -29 (c) -3
c
Which is the nearest to 8? (a) -5 (b) 13 (c) -1 (d) -13703
b
What is the nearest to 25/9 in -3/7, -5/6, 2/1949, 3?
3
Which is the nearest to 94.5? (a) 3/5 (b) 1.4 (c) 0.2 (d) -3
b
Which is the nearest to 3? (a) 1/8429 (b) -2/7 (c) -16
a
Which is the nearest to -4? (a) -0.04 (b) 2/7 (c) -2/1331 (d) 11 (e) 4 (f) 3
a
Which is the nearest to 3? (a) 2352 (b) -4 (c) 1 (d) 3
d
Which is the nearest to -1? (a) -7/3 (b) 1/16 (c) -4/7 (d) 2.3 (e) 21
c
Which is the nearest to 0.3? (a) 61 (b) -4 (c) -0.2 (d) 79 (e) -163 (f) 5
c
Which is the nearest to 132.617? (a) -2 (b) -3/2 (c) 4/5 (d) -0.1 (e) 0
c
Which is the closest to 0.62751? (a) -0.022 (b) -1/6 (c) 1/4
c
Which is the nearest to 4117? (a) 0.03 (b) 0.4 (c) 0 (d) -1 (e) 2/9 (f) -2
b
What is the nearest to 0.1 in 47, -2/15, -13, -40, 1?
-2/15
What is the nearest to 0.1 in -4139, -5, -31.5, -1/2?
-1/2
Which is the closest to -3/7? (a) 524 (b) 495 (c) 1/3 (d) -1/11
d
What is the nearest to -2/3 in -15, -1/3, -0.3623, 1/3, 1/2?
-0.3623
Which is the nearest to 0.1? (a) -2/17 (b) -14/3 (c) 0.4 (d) -113
a
Which is the nearest to 1? (a) -219561 (b) 0.2 (c) -7
b
What is the closest to -5 in -1.9, -4, -1, -0.95, -9/16, 3/2?
-4
What is the nearest to -2/87 in 2, -0.02, 80, 52/5, 1?
-0.02
Which is the closest to -3? (a) 1 (b) 20 (c) 8971
a
What is the nearest to 0 in 392, 0.4, 693, -5, 11?
0.4
Which is the closest to 2/5? (a) 4 (b) -4 (c) -21/11 (d) 2 (e) 36 (f) 4.2
d
What is the closest to -6 in -4639232, 0, -5?
-5
What is the closest to 237.2 in 76, 83, -2/7?
83
Which is the nearest to -0.06? (a) 3 (b) 17 (c) 7 (d) 85 (e) -5
a
Which is the nearest to 0.2? (a) -1270 (b) 1/5 (c) -0.1 (d) 26 (e) -3
b
Which is the closest to -10? (a) 25/42 (b) 4 (c) -5 (d) -2/17
c
What is the nearest to -0.06 in 6, -4, -14, -324, 2/5?
2/5
What is the closest to -2/67 in 2, -1, 0.02191?
0.02191
What is the nearest to -1.5 in 7, -0.05, -0.5, 1390, -3?
-0.5
Which is the nearest to 0? (a) -0.083 (b) 4865 (c) -3 (d) -0.3
a
Which is the nearest to -0.2? (a) 0.3 (b) 3.5 (c) 3.1638
a
Which is the closest to -1/2? (a) 84 (b) -6 (c) -5 (d) -1247 (e) 3/7 (f) -3
e
What is the closest to -509 in 0.4, -0.3, -2/5, 2, 0.61, -11?
-11
Which is the closest to -4699? (a) 3 (b) -4 (c) -2.8
b
What is the closest to -0.3 in 13, 21, 140, -7, 5, 1?
1
What is the closest to -31/86 in -219, 1/3, -0.7, -2/9?
-2/9
What is the closest to 1/3 in 3, -1, 2363.45, -5, 1?
1
What is the nearest to 0 in -0.9, -0.4, 0, -0.1, -18472?
0
Which is the nearest to 0? (a) 120 (b) 275 (c) 1 (d) 19 (e) -0.5
e
What is the closest to 1 in 1, -9, 1486, 19?
1
What is the nearest to -36 in 5/6, -4, 1/2, 52, 0?
-4
What is the nearest to -2/5 in -42, 271, 0.05?
0.05
Which is the nearest to 8/145? (a) 4 (b) 15338 (c) 0.3
c
Which is the nearest to -5? (a) -32 (b) -1.3652 (c) -6
c
What is the nearest to 1/30 in 25, 15/2, 1/2, -76?
1/2
What is the nearest to 222278 in -4, 0.1, -5, 0, 2/5?
2/5
Which is the nearest to 5294? (a) 4/45 (b) -2 (c) -4/7 (d) -2/11
a
What is the nearest to -2/3 in -12, -265, -0.4, -1068, -4?
-0.4
Which is the closest to -62/9? (a) 10275 (b) 2/3 (c) -0.2
c
What is the closest to -3 in 1, 2/17, -2/385, 19/11?
-2/385
What is the closest to 23.07 in 0.09, 1/4, -55?
1/4
What is the nearest to 1/3 in 0.0796902, 2/5, 4, 3?
2/5
Which is the closest to 0? (a) 0.12448 (b) -3 (c) -1/8 (d) -24 (e) -5 (f) -0.1
f
What is the nearest to -2 in 1/1778, -0.049, -3, 3, -4, 5?
-3
What is the nearest to -175.8 in -1/10, -0.33, 0.02?
-0.33
Which is the nearest to 2/7? (a) -0.161 (b) -2/5 (c) 18.7
a
What is the closest to -20 in -918, 3/16, -3, -0.1?
-3
What is the nearest to 0.04 in -15, 2/9, -0.5, -8?
2/9
Which is the nearest to -2/7? (a) -38 (b) 0.059 (c) -0.3 (d) 29 (e) 2
c
Which is the nearest to 0.042? (a) 2 (b) -2 (c) 2/597 (d) 489
c
What is the closest to 0.2 in -2/15, 266, -6/11, 5, -1.7?
-2/15
Which is the nearest to 0.158? (a) 1 (b) 30 (c) 4/5 (d) 0.0137
d
What is the nearest to -8790 in -12, -0.1, -0.7, -4, -2/13?
-12
What is the nearest to -691 in -0.2, -0.089, 3?
-0.2
What is the nearest to -6 in 1/6, 4, 361, 2/45, 3?
2/45
What is the nearest to -10 in 2/3, -7, 35, -30?
-7
Which is the closest to -4/3? (a) 4 (b) 12/13 (c) -1 (d) -353/11 (e) 1/2
c
Which is the nearest to -1/4? (a) 5 (b) 43236589 (c) -5
c
Which is the closest to -113? (a) 0.2 (b) -4 (c) -0.2 (d) -569.8 (e) 1
b
Which is the closest to -9? (a) -3/4 (b) -2/211 (c) -0.5 (d) 4/3735
a
What is the closest to -0.01 in -0.5, 1/7, -230/41, 1/3?
1/7
What is the closest to -1 in 0.4, -1825, -2/9, 0.1, -5, 3/5?
-2/9
Which is the closest to -17/1337? (a) 8 (b) -5 (c) 21 (d) 0.1 (e) -0.3
d
Which is the closest to 1? (a) -1 (b) -0.04 (c) 2/3 (d) 2.8752
c
What is the nearest to 2 in 2, -0.057, 0.2, -594, -0.5?
2
What is the closest to -2/5 in 0.22, 0.3, -5.1, 4, 2/89?
2/89
What is the nearest to -9 in -2/7, -4, 0.048422?
-4
What is the nearest to 65 in 4/13, -2/211, -2/3, -0.4?
4/13
What is the closest to 220 in -1/8, 5, 2/7, 505?
5
What is the closest to -261 in 3, 5/3697, -6?
-6
What is the closest to 12 in -169, -122, 18, -1?
18
What is the closest to 8 in -21534, 96, 3?
3
Which is the nearest to -1606? (a) -3 (b) -2/11 (c) 1/2 (d) -4/13 (e) 11 (f) 5
a
What is the nearest to -2 in 1/4, -1, 8/7, -20.02?
-1
What is the closest to 3212 in -0.4, 7/5, 0, -15, -0.1?
7/5
Which is the closest to 2.8? (a) -0.4 (b) -4 (c) 1183 (d) 5
d
Which is the closest to -227? (a) 18244 (b) -6 (c) -2
b
Which is the nearest to 2/3? (a) 7 (b) -1 (c) -2/19 (d) -0.08254
d
Which is the closest to -2/5? (a) 2 (b) 48/85 (c) -2.17
b
Which is the nearest to 1/5? (a) 26 (b) -7.9 (c) -193 (d) -2/13
d
Which is the nearest to -2/5? (a) 2 (b) 303 (c) 1/2 (d) 0.19071 (e) -2
d
Which is the closest to 1? (a) -83 (b) -9 (c) 0 (d) 149
c
Which is the nearest to -465? (a) -3/8 (b) -31 (c) -56.2 (d) 4
c
What is the closest to -2608/25 in 3/7, 2/9, 4, 1, 2/17, 3/40?
3/40
What is the nearest to -12/5387 in -2, 0.3, 1/5?
1/5
Which is the closest to 1/19? (a) 0.11 (b) 37 (c) -32
a
Which is the closest to -2/119? (a) 1.2 (b) -1 (c) 2/13 (d) 2/33
d
What is the closest to -6373 in -0.1, -6, 2/11, 0.4?
-6
What is the nearest to 0.07 in -0.5, -9/22, -2/7, 0.0097?
0.0097
What is the closest to 2 in -2, -12/23, -3/8, 2, -34?
2
Which is the closest to 503? (a) 2 (b) 27 (c) -4 (d) -2
b
Which is the closest to 0.1? (a) -2/9 (b) 25/248 (c) 1/3 (d) 180
b
What is the closest to 2.59 in -187, 0, -0.2, -4/5?
0
What is the nearest to 264 in -0.3, 2, -3, -2/639, 0.1, 0.3?
2
Which is the nearest to 2/15? (a) -733 (b) 24 (c) -0.033
c
What is the nearest to 0.1 in 1, 952463, 1/4?
1/4
Which is the closest to -12? (a) 13 (b) 0.1 (c) 9 (d) 2/17 (e) -1
e
Which is the closest to 0.1? (a) 5.33 (b) 1 (c) 2 (d) 214 (e) 4/9
e
What is the closest to -0.102 in -512, -33, 5/4?
5/4
What is the nearest to 3 in -1, 364, -59, 0, 1?
1
Which is the closest to -0.1? (a) -2/11 (b) 0.32 (c) 1 (d) -24301
a
What is the closest to 8.291 in 2, -1172, 3?
3
What is the closest t
|
{
"pile_set_name": "DM Mathematics"
}
|
*(3877*y + 4707*y + 909*y + 175*y).
19336*y**2
Expand (-3 - 2*r**2 + 3)*(69046 + 1888*r**2 - 69046) + 0*r + 0*r - 2*r**4 - 5*r**4 + 4*r**4 + 3*r**4 + (4*r**4 - 2*r**4 + 0*r**4)*(-2 + 4 + 0) + 2*r**4 + 0 + 0.
-3770*r**4
Expand ((-2*w - w + 5*w)*(6 - 1 + 9) + 19*w + 464 - 464 - 3*w - 3*w + 5*w)*(-2*w**3 + 3*w**3 + 2*w**3) - 2*w**2 + 2*w + 2*w**4 + w**4 - w.
141*w**4 - 2*w**2 + w
Expand (-z - 8*z + 4*z)*(-1 + 1 + 5*z**2)*(-8*z + 0*z - 22*z).
750*z**4
Expand 8570 - 8570 - 55*h**2 + (6*h**2 - 3*h**2 + 0*h**2)*(-2 + 4 - 3) + (-4*h + 3*h + 2*h)*(-3*h + 0*h + 0*h) + 4*h**2 + 6*h**2 - 7*h**2.
-58*h**2
Expand (-10*z + 5*z - 8*z)*(-2 + 1 - 3)*(-7 - 15 + 8)*((3 + 3*z - 3)*(-1 - 4 + 2) + 2 - 2 + z).
5824*z**2
Expand 30 + 1170*l**5 - 627*l**5 + 4*l**2 - 541*l**5 + (l**3 + 0*l**3 + 0*l**3)*(5*l**2 - 5*l**2 - l**2).
l**5 + 4*l**2 + 30
Expand -7*r**5 + 2*r**5 - 3*r**5 + (-24*r**5 + 38*r**5 + 35*r**5 + (5*r**3 - 4*r**3 + r**3)*(r**2 - 2 + 2) + 0*r**3 - r**5 + 0*r**3)*(-3 - 3 + 2).
-208*r**5
Expand (0 + 4 - 2 + (0 + 3 - 6)*(1 - 1 - 1) + 5 - 1 + 1)*(-211*b + 12*b**2 + 211*b + (0 + 0 + 1)*(-b**2 + 2*b**2 - 2*b**2)).
110*b**2
Expand (-q**3 - 3*q**3 + 6*q**3)*(-2*q**2 + 3*q**2 + 0*q**2) + (-6*q**5 + 3*q**5 + q**5)*(12 + 79 + 35) + q**5 + 39*q**2 + 20*q**4 - 39*q**2.
-249*q**5 + 20*q**4
Expand (-435 + 289 + 85 + 555 + 515)*(2*o**4 + 3*o**3 - 3*o**3).
2018*o**4
Expand -2*t**3 + 0*t**3 + 4*t + 6*t**3 + (-16*t**2 + 18*t**2 + 30*t**2)*(0*t - 2*t + 5*t).
100*t**3 + 4*t
Expand ((0 + 0 + 2)*(-18 + 4 + 8) + 2 + 0 + 1)*(-9*y + 16*y + 14*y).
-189*y
Expand (466*m - 466*m + 49*m**3)*(-m + 1 - 1 + (79*m + 76*m - 160*m)*(1 - 2 + 0)).
196*m**4
Expand (-56 + 221 + 143 - 64 + 99)*(-20*h**2 - 115*h + 3*h**2 + 18*h**2).
343*h**2 - 39445*h
Expand 271*p**2 - 3*p**5 - 271*p**2 - 2*p**3 + (9*p**2 + 3*p**2 + 4*p**2)*(2*p - 2*p + 9*p**3).
141*p**5 - 2*p**3
Expand (-4*g + 4*g + 2*g)*(0*g - g + 5*g)*(-117 + 311 - 107 - 113 + 50*g).
400*g**3 - 208*g**2
Expand (24 - 24 + 7*z**2)*(-33 + 5 + 0 + (-3 - 2 + 3)*(2 - 1 - 2))*(-2 + 0 - 2).
728*z**2
Expand (0*a**2 + 6*a**2 + 12*a**2)*(-3 - a + 3) - a**3 - 3 + 3 + (-210 + 15*a + 210)*(-7 + 7 - 2*a**2).
-49*a**3
Expand (0 - 41 - 18 - 4 + 5 + 4 + (-3 - 1 + 2)*(1 + 1 - 1) - 2 + 4 + 0)*(3*m - m - 3*m).
54*m
Expand ((6*h + 0*h - 4*h)*(0 + 0 - 4) - 2*h + 20*h - 8*h)*((2 - 3 + 2)*(3 - 3 - 4*h) + 2 - 2 + h).
-6*h**2
Expand (4*i**2 - 12*i + 12*i - 14)*(2 + 0 + 2) - 7*i**2 - 80*i**2 - 40*i**2.
-111*i**2 - 56
Expand 2 + n**3 - 2 + (3*n - 3*n + n)*(-5*n**2 - n**2 + 5*n**2) + 374*n**3 - 18*n**3 + 309*n**3.
665*n**3
Expand (3 - 10 - 6)*(29 - 57 + 27 - s).
13*s + 13
Expand (-4275 + 12298 - 6090)*(-5 + r + 5).
1933*r
Expand (-5*i + 5*i + 2*i)*(-73 + 62 + 97)*(-9 + 1 + 7).
-172*i
Expand (1 - x**2 - 1)*((-6*x - 186 + 186)*((2 + 2 - 2)*(x + 5*x - 5*x) + 2*x - x + 0*x + x + 0*x + x) - 20*x**2 + 44*x**2 + 53*x**2).
-47*x**4
Expand (6*u**2 - 2*u**2 + 3*u**2)*((-u**3 + 2*u**3 - 2*u**3)*(2 - 3 + 2) + (-3*u + 3*u - 17*u)*(0*u + 0*u - u**2)).
112*u**5
Expand (-2*z**2 + 3*z**2 + z**2)*(566124 - 566124 + 976*z) + (-z + 0*z + 0*z)*(-3*z**2 - z**2 + 3*z**2) - 5*z**3 + 2*z**3 + z**3.
1951*z**3
Expand (-189 - 24 + 19)*(2*k + 0 + 0 + (-2*k + 2*k - 3*k)*(3 + 1 - 2)).
776*k
Expand 0*h + 3*h - h + (-13 + 3*h + 13)*(-23 - 12 + 18 + 0 - 1 + 3 + (0 + 0 + 1)*(-1 + 0 + 3) + 5 - 4 - 3).
-43*h
Expand (-95 + 56 - 118)*(-3 + 3 + 3*a) - a - a + a + (a + 2*a - 4*a)*(-3 - 1 + 1).
-469*a
Expand (-5*u + 4*u - u + 22)*(88 + 115 - u + 3*u).
-4*u**2 - 362*u + 4466
Expand (-z - 2 + 2)*(-1 + 3 - 3 + (-1 - 3 + 1)*(0 + 1 + 0) + 3 + 4 - 6 + 0 - 3 - 1 + (-2 - 4 + 1)*(-5 + 2 + 2)).
2*z
Expand 1550*p**5 - 12*p**3 + 16*p**3 - 4497*p**5 + (-p**3 - 4*p**3 + 3*p**3)*(2 - p**2 - 2).
-2945*p**5 + 4*p**3
Expand -t - t**3 + t + (0*t + t + t)*(1 - 1 - t**2) + (-81*t**2 - 177*t**2 + 80*t**2)*(862 + 27*t - 862).
-4809*t**3
Expand -8*u - u + 3*u + (0 + 30 + 39)*(-5*u + 9*u + 4*u).
546*u
Expand (-s**4 - 3*s**4 - 2*s**4)*(2 - 3*s - 2) + (-3 - 9 + 2)*(-10*s**3 + 7*s**5 + 10*s**3).
-52*s**5
Expand 2*x**2 + 0*x**2 + 7*x**2 + (5 - 5 - x)*(-4*x + 5*x + 0*x) + 0 + x**2 + 0 + (-94 - 111 + 146)*(0*x + x - 2*x)*(-x + 3*x - 4*x).
-109*x**2
Expand (59*q**2 - 33*q**2 + 0*q**2)*(19*q + 20*q + 8*q + 9*q - 8*q).
1248*q**3
Expand ((17 - 4*t + 18 + 3*t)*(-t + 0 + 0) + 10*t**2 - t + t)*(2 - 7 - 4)*(t + 4*t - 3*t).
-198*t**3 + 630*t**2
Expand (-7 - 13 - 7)*(s**5 + 0*s**5 + s**5 + (-3*s**4 + 0*s**4 + 5*s**4)*(-2*s + 1 - 1) + 2*s**5 + 0*s**5 + s**5).
-27*s**5
Expand (-2 + 3 - 4)*(7 - 23 + 11 + 7 + 611*v).
-1833*v - 6
Expand (44624 - 2*x + x - 45999 + (2*x + 0*x - 5*x)*(-2 + 2 - 2))*(-1 + 0 - 1).
-10*x + 2750
Expand (202 - 367 - 761*g + 165)*(-2*g + 1 - 4 + 1).
1522*g**2 + 1522*g
Expand (-48*s - 30*s**2 + 48*s)*(3*s**2 - 3 + 0 - 246*s + 241*s).
-90*s**4 + 150*s**3 + 90*s**2
Expand (4*r - r - 5*r)*(-5 - 1 + 3) + (-13*r + 6 - 6)*(1 - 6 + 4) + (5 - 3 + 0)*(0*r + 5*r - 4*r) - 2*r + 2*r - 3*r.
18*r
Expand (4*x - 6*x + 3*x)*(-48 + 102 - 43).
11*x
Expand -z**5 - 5*z**5 + 5*z**5 + (-2*z + 4*z - 4*z)*(2*z**4 - 4*z**4 + z**4) - 1047*z**5 - 434*z**5 + 106*z**5.
-1374*z**5
Expand (2*q - 2*q - q)*(-5*q - 4*q**2 + 5*q) + (q - 2*q**2 - q)*(3*q + 3*q - 5*q) + q**3 + 1 - 1 + 0 - 2*q**3 + 0 + 611*q**3 - 331*q**3 - 685*q**3.
-404*q**3
Expand (28 - 43 + 63)*(-19 + 3 - 6)*(0 + 0 - t).
1056*t
Expand (1 - 1 - 2*c)*(-c**3 + 4*c**3 + 2*c**3) + 1733*c - 869*c + 21*c**4 - 863*c.
11*c**4 + c
Expand (65*x - 122*x + 91*x)*(3*x + 2 - 2)*(-2 + 1 - 4)*(2 - 5 + 4).
-510*x**2
Expand (-3491 + 25053 + 11770 + 8098 + 23233)*(-2*l + 2*l - l).
-64663*l
Expand 12*g**2 - 2766*g**4 + 3191*g**4 - 3*g**2 + (-5*g - g + 5*g)*(2*g - 2*g - g**3).
426*g**4 + 9*g**2
Expand -29*w**4 + 8 - 8 + (-6*w + 20 - 20)*(w**3 + 2*w**3 - 2*w**3).
-35*w**4
Expand 55 + 9*q - 55 + (-27*q - 47*q + 110*q)*(-2 + 3 - 2).
-27*q
Expand (8*k**2 - 4*k**2 + 7*k**2)*(5*k + k - 4*k) + (-12*k**3 - 36*k**3 + 31*k**3)*(3 - 1 - 3).
39*k**3
Expand (12*l - 19 + 19)*(1 - 3 + 4) + 4*l - l - 2*l + 2*l + 3*l - 2*l - 8 + 8 - l.
27*l
Expand (0*k**2 - k**3 + 0*k**2)*(-3 + 0 + 33)*(-11*k + 18*k + 11*k).
-540*k**4
Expand (p - 5*p + 2*p)*(11 - 4 + 9) + (4 + 3 + 2)*(4*p + p - p).
4*p
Expand (-q**2 + 4*q**2 + q**2)*(4 + 0 - 3 + (1 - 3 - 4)*(-1 + 0 + 0)) + (-7*q + 3*q + 2*q)*(2*q + 0 + 0).
24*q**2
Expand (0 + 0 + t**2)*(8693857 - 3212*t**3 - 8693857).
-3212*t**5
Expand (3*c**3 - 3*c**3 - c**3)*(c**2 - 2*c**2 - c**2) + (-463*c**3 - 166*c**3 + 151*c**3)*(0*c**2 + c**2 + 2*c**2) + (-1 - c**3 + 1)*(-2*c**2 - 2 + 2).
-1430*c**5
Expand (-2 + 2 - 3*c)*(0 + 1 - 2)*(-4 - 4 + 3)*(-181*c + 362*c - 182*c - 513*c**2).
7695*c**3 + 15*c**2
Expand 135*k**4 - 25*k**4 + 193*k**4 + (-4*k + 4*k + 4*k**3)*(2*k - k + k).
311*k**4
Expand (1 + 5 - 3)*(11120*z**3 - 58*z + 85*z - 27*z).
33360*z**3
Expand 5 - 5 + 5*n**2 + (0 + 0 - 2*n)*(0 + 2*n + 0) + 35*n**2 + 32*n**2 + 72*n**2 + n**2 + n**2 + 0*n**2.
142*n**2
Expand ((-4*q + 6*q - q)*(-6 + 1 + 4) - q + 0*q + 6*q)*(-800 + 2271 - 686 - 669).
464*q
Expand (7 - 3 - 3)*(392*c**5 - 403*c**5 - 1891*c**5).
-1902*c**5
Expand 1051540 - 168*q - 1051540 + (2*q + 2*q - 5*q)*(-1 + 3 - 3) + (-4 + 1 + 1)*(5*q - 3*q + 0*q) - 3 + 3 - 2*q.
-173*q
Expand (0 + 0 + 2 + 1 + 23 - 1 + 1 + 2 - 4 + (0 + 2 - 1)*(-5 + 4 - 1) + 3 + 12 - 3 + (0 + 4 - 3)*(2 - 4 + 1))*(u - 2*u + 3*u).
66*u
Expand (1 + a - 1)*(5*a - 6*a + 3*a)*(-713 + 33 - 215).
-1790*a**2
Expand (0*t + 2*t - t + (2*t + 3*t - 6*t)*(2 + 0 - 3) - 24*t - 3*t + 9*t)*(214*t - 253 + 253).
-3424*t**2
Expand -3*z**3 - z**3 + 5*z**3 + (-3 + 3 + z**2)*(-2*z + 2*z + z) - 2479*z**2 + 2*z**3 + 89 + 2479*z**2.
4*z**3 + 89
Expand (12*q - 2*q - 3*q)*(18 + q - 387*q**2 + 127*q**2 + 116*q**2).
-1008*q**3 + 7*q**2 + 126*q
Expand (50*s**4 - 16*s**2 + 16*s**2)*((-s + s + 2*s)*(5 + 1 - 3) - 2*s - s + 0*s).
150*s**5
Expand (5*j + 2 - 2)*(0 + 4 - 3 - 1 + 3 - 1 + 1 + 1 - 1 + (-5 + 2 + 1)*(2 + 0 + 0) + 2 + 1 - 1 + (-2 + 0 + 4)*(6 - 1 - 4)).
15*j
Expand (-9 + 1689 - 1918 - 1533 - 1282 - 2172)*(18*t**3 + 5*t**4 - 18*t**3).
-26125*t**4
Expand (4690*n + 9348*n + 9871*n)*(1 + 0 - 3).
-47818*n
Expand (-272*r**2 + 938*r**2 - 66*r**2)*(-7*r + 17*r - 6*r)*(-2 + 2 + 1).
2400*r**3
Expand (0*r**2 + 2*r**2 + 0*r**2)*(293 + 458*r**2 - 168*r**2 - 5*r - 292*r**2).
-4*r**4 - 10*r**3 + 586*r**2
Expand 0 + z + 0 + (0*z + 2*z
|
{
"pile_set_name": "DM Mathematics"
}
|
:51 PM and 5:44 PM?
293
How many minutes are there between 1:28 AM and 1:15 PM?
707
What is 488 minutes before 4:07 AM?
7:59 PM
What is 617 minutes after 6:44 AM?
5:01 PM
How many minutes are there between 7:56 AM and 3:33 PM?
457
What is 546 minutes before 7:28 PM?
10:22 AM
How many minutes are there between 3:44 PM and 2:36 AM?
652
How many minutes are there between 7:49 PM and 5:48 AM?
599
How many minutes are there between 10:54 AM and 12:32 PM?
98
How many minutes are there between 6:45 AM and 10:56 AM?
251
What is 420 minutes before 8:47 AM?
1:47 AM
How many minutes are there between 6:35 AM and 6:30 PM?
715
What is 481 minutes before 8:44 AM?
12:43 AM
What is 605 minutes after 9:44 PM?
7:49 AM
What is 553 minutes before 2:54 AM?
5:41 PM
What is 89 minutes before 11:37 PM?
10:08 PM
How many minutes are there between 9:56 AM and 5:48 PM?
472
What is 480 minutes before 10:34 AM?
2:34 AM
How many minutes are there between 5:06 PM and 1:06 AM?
480
What is 195 minutes before 10:20 PM?
7:05 PM
What is 89 minutes after 4:20 PM?
5:49 PM
How many minutes are there between 12:58 PM and 12:53 AM?
715
What is 448 minutes after 7:17 PM?
2:45 AM
What is 408 minutes after 12:58 PM?
7:46 PM
What is 564 minutes before 10:36 PM?
1:12 PM
How many minutes are there between 2:51 PM and 3:00 PM?
9
How many minutes are there between 10:06 AM and 4:45 PM?
399
How many minutes are there between 10:49 AM and 12:11 PM?
82
How many minutes are there between 6:45 PM and 8:57 PM?
132
What is 560 minutes before 4:22 AM?
7:02 PM
What is 644 minutes before 4:06 AM?
5:22 PM
How many minutes are there between 2:10 PM and 6:22 PM?
252
What is 610 minutes before 7:00 PM?
8:50 AM
What is 9 minutes after 1:07 PM?
1:16 PM
How many minutes are there between 9:49 AM and 12:54 PM?
185
How many minutes are there between 5:44 AM and 8:49 AM?
185
How many minutes are there between 5:21 PM and 2:05 AM?
524
What is 689 minutes before 7:33 PM?
8:04 AM
What is 481 minutes after 5:46 AM?
1:47 PM
What is 466 minutes after 3:47 PM?
11:33 PM
What is 217 minutes before 3:38 AM?
12:01 AM
What is 337 minutes before 6:29 PM?
12:52 PM
What is 209 minutes after 5:51 PM?
9:20 PM
How many minutes are there between 2:37 AM and 4:06 AM?
89
What is 244 minutes after 7:55 PM?
11:59 PM
What is 418 minutes before 8:10 PM?
1:12 PM
How many minutes are there between 2:32 PM and 9:22 PM?
410
How many minutes are there between 9:30 AM and 8:45 PM?
675
What is 130 minutes after 11:48 PM?
1:58 AM
How many minutes are there between 10:14 PM and 7:21 AM?
547
What is 624 minutes before 7:32 PM?
9:08 AM
How many minutes are there between 4:52 PM and 8:23 PM?
211
How many minutes are there between 4:38 AM and 11:36 AM?
418
What is 207 minutes after 7:39 AM?
11:06 AM
What is 662 minutes after 7:38 AM?
6:40 PM
How many minutes are there between 3:08 PM and 2:20 AM?
672
What is 485 minutes after 2:49 PM?
10:54 PM
What is 706 minutes before 4:55 PM?
5:09 AM
How many minutes are there between 8:33 AM and 4:34 PM?
481
What is 197 minutes after 8:26 AM?
11:43 AM
What is 468 minutes after 4:46 PM?
12:34 AM
What is 2 minutes after 12:02 AM?
12:04 AM
What is 388 minutes after 12:16 AM?
6:44 AM
How many minutes are there between 5:18 PM and 3:00 AM?
582
What is 634 minutes after 11:24 PM?
9:58 AM
How many minutes are there between 8:03 AM and 5:35 PM?
572
How many minutes are there between 2:19 AM and 3:47 AM?
88
What is 324 minutes after 8:53 AM?
2:17 PM
How many minutes are there between 6:46 AM and 8:29 AM?
103
How many minutes are there between 1:30 AM and 12:48 PM?
678
What is 641 minutes after 2:35 PM?
1:16 AM
What is 588 minutes after 10:44 AM?
8:32 PM
What is 166 minutes after 9:46 PM?
12:32 AM
How many minutes are there between 1:24 AM and 6:51 AM?
327
How many minutes are there between 4:25 PM and 3:32 AM?
667
What is 20 minutes before 5:40 PM?
5:20 PM
What is 558 minutes after 8:29 PM?
5:47 AM
How many minutes are there between 3:30 AM and 7:27 AM?
237
What is 186 minutes before 3:15 AM?
12:09 AM
What is 303 minutes after 1:30 PM?
6:33 PM
How many minutes are there between 10:24 AM and 10:01 PM?
697
What is 559 minutes after 4:15 PM?
1:34 AM
How many minutes are there between 9:27 AM and 4:15 PM?
408
What is 181 minutes after 4:20 AM?
7:21 AM
How many minutes are there between 6:39 PM and 10:36 PM?
237
What is 492 minutes after 9:49 PM?
6:01 AM
What is 630 minutes before 2:37 AM?
4:07 PM
What is 166 minutes after 10:42 AM?
1:28 PM
What is 596 minutes after 3:53 AM?
1:49 PM
What is 327 minutes after 12:42 PM?
6:09 PM
What is 44 minutes before 7:54 AM?
7:10 AM
What is 385 minutes after 1:15 PM?
7:40 PM
What is 490 minutes after 11:30 PM?
7:40 AM
What is 293 minutes after 8:13 PM?
1:06 AM
What is 322 minutes after 9:57 PM?
3:19 AM
What is 302 minutes after 10:12 PM?
3:14 AM
What is 127 minutes after 7:08 PM?
9:15 PM
How many minutes are there between 3:05 AM and 1:48 PM?
643
How many minutes are there between 4:32 PM and 9:32 PM?
300
What is 360 minutes before 12:02 AM?
6:02 PM
What is 573 minutes after 3:39 PM?
1:12 AM
How many minutes are there between 10:22 PM and 11:39 PM?
77
How many minutes are there between 8:21 PM and 7:54 AM?
693
How many minutes are there between 11:34 AM and 9:25 PM?
591
What is 302 minutes after 8:56 AM?
1:58 PM
How many minutes are there between 8:24 PM and 2:08 AM?
344
How many minutes are there between 9:24 PM and 9:49 PM?
25
How many minutes are there between 8:41 AM and 6:01 PM?
560
How many minutes are there between 3:12 PM and 2:28 AM?
676
What is 457 minutes before 6:43 AM?
11:06 PM
How many minutes are there between 12:48 PM and 11:55 PM?
667
How many minutes are there between 8:20 AM and 11:44 AM?
204
What is 145 minutes before 10:27 PM?
8:02 PM
What is 98 minutes after 2:10 PM?
3:48 PM
What is 173 minutes before 10:20 AM?
7:27 AM
What is 485 minutes after 6:03 AM?
2:08 PM
What is 175 minutes before 6:02 PM?
3:07 PM
What is 508 minutes after 4:00 PM?
12:28 AM
What is 371 minutes before 9:10 AM?
2:59 AM
How many minutes are there between 2:45 AM and 1:45 PM?
660
How many minutes are there between 3:09 AM and 4:16 AM?
67
How many minutes are there between 6:14 PM and 1:38 AM?
444
What is 302 minutes after 7:52 PM?
12:54 AM
How many minutes are there between 6:36 AM and 7:15 AM?
39
How many minutes are there between 1:13 PM and 8:07 PM?
414
How many minutes are there between 3:34 PM and 3:29 AM?
715
What is 337 minutes before 9:44 AM?
4:07 AM
What is 443 minutes after 6:58 PM?
2:21 AM
How many minutes are there between 1:03 PM and 2:03 PM?
60
What is 448 minutes after 11:17 AM?
6:45 PM
What is 236 minutes after 7:38 AM?
11:34 AM
What is 526 minutes after 8:03 PM?
4:49 AM
How many minutes are there between 9:36 AM and 7:45 PM?
609
What is 682 minutes before 12:47 PM?
1:25 AM
How many minutes are there between 5:22 PM and 2:50 AM?
568
How many minutes are there between 5:30 PM and 1:43 AM?
493
How many minutes are there between 3:36 PM and 6:14 PM?
158
What is 679 minutes before 4:57 PM?
5:38 AM
How many minutes are there between 1:09 PM and 4:33 PM?
204
What is 156 minutes after 8:56 PM?
11:32 PM
What is 472 minutes after 6:13 AM?
2:05 PM
What is 402 minutes before 2:14 PM?
7:32 AM
How many minutes are there between 10:30 PM and 5:33 AM?
423
What is 504 minutes before 9:03 AM?
12:39 AM
What is 443 minutes after 5:21 AM?
12:44 PM
What is 612 minutes before 4:04 PM?
5:52 AM
How many minutes are there between 4:45 AM and 7:19 AM?
154
How many minutes are there between 9:58 PM and 4:12 AM?
374
How many minutes are there between 11:38 AM and 11:08 PM?
690
How many minutes are there between 5:36 PM and 5:13 AM?
697
What is 404 minutes after 10:12 AM?
4:56 PM
How many minutes are there between 3:56 PM and 7:51 PM?
235
What is 255 minutes before 11:17 AM?
7:02 AM
How many minutes are there between 9:22 AM and 11:09 AM?
107
What is 237 minutes before 5:10 AM?
1:13 AM
How many minutes are there between 6:59 PM and 11:38 PM?
279
How many minutes are there between 7:48 AM and 8:38 AM?
50
How many minutes are there between 2:16 PM and 12:55 AM?
639
How many minutes are there between 12:58 AM and 12:13 PM?
675
How many minutes are there between 7:05 AM and 5:46 PM?
641
What is 323 minutes bef
|
{
"pile_set_name": "DM Mathematics"
}
|
at comes next: 5655, 11319, 16995, 22683, 28383?
34095
What is the next term in -11194, -11206, -11228, -11260?
-11302
What is next in -101660, -101662, -101664, -101666, -101668?
-101670
What is the next term in -4528, -9561, -14594, -19627?
-24660
What is next in -597, -1177, -1757, -2337, -2917, -3497?
-4077
What comes next: 40152, 40144, 40134, 40122, 40108, 40092?
40074
What comes next: 16565, 33287, 50009, 66731, 83453?
100175
What is the next term in 99590, 99652, 99714, 99776, 99838, 99900?
99962
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-389633
What is next in 2838, 11065, 24778, 43977, 68662, 98833?
134490
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-2069
What is next in 1847, 3455, 5063?
6671
What is the next term in -2092, -2161, -2230?
-2299
What is the next term in -350211, -350216, -350221, -350226?
-350231
What is next in 168144, 336301, 504456, 672609, 840760?
1008909
What is next in -34, -119, -256, -445?
-686
What comes next: -324, -2491, -8332, -19671, -38332, -66139?
-104916
What is the next term in -10006, -10014, -10034, -10072, -10134, -10226, -10354?
-10524
What is next in 30, 103, 218, 375, 574, 815, 1098?
1423
What is next in 43066, 86153, 129240, 172327?
215414
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-5444
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-3273
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795
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-1038
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44818
What is next in -3584, -13968, -31274, -55502?
-86652
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-13072
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-37699
What is next in -3559, -7165, -10771, -14377, -17983?
-21589
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544
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-4435
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17441
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836856
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-19012
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-923410
What is the next term in 850, 530, -332, -2006, -4762, -8870?
-14600
What comes next: -413, -438, -461, -482?
-501
What is the next term in 27499, 110000, 247487, 439948, 687371, 989744, 1347055, 1759292?
2226443
What comes next: 498, 2012, 4542, 8094, 12674, 18288, 24942?
32642
What is next in 10778, 21561, 32356, 43169, 54006, 64873, 75776, 86721?
97714
What is next in 2107, 2113, 2119?
2125
What is next in -28, -150, -362, -664, -1056, -1538?
-2110
What is next in -295, -110, 543, 1664?
3253
What is next in -162, -199, -234, -267, -298?
-327
What is next in -138209, -276498, -414775, -553034, -691269, -829474, -967643?
-1105770
What comes next: -186378, -186377, -186376, -186375?
-186374
What comes next: 1475149, 1475146, 1475141, 1475134, 1475125, 1475114, 1475101?
1475086
What is next in -14903, -14879, -14849, -14819, -14795, -14783, -14789, -14819?
-14879
What is the next term in 39742, 39745, 39750, 39757?
39766
What is the next term in -1263, -1203, -1143, -1083?
-1023
What comes next: -8892, -35570, -80030, -142272, -222296, -320102, -435690?
-569060
What is the next term in -343, -825, -1629, -2755, -4203?
-5973
What comes next: 76995, 154002, 231009, 308016, 385023?
462030
What is the next term in 846, 844, 832, 804, 754?
676
What is next in -33, -381, -959, -1767, -2805?
-4073
What is the next term in 139, 383, 765, 1273, 1895?
2619
What comes next: -394081, -788162, -1182243, -1576324, -1970405?
-2364486
What comes next: 1061, 1131, 1241, 1385, 1557, 1751, 1961?
2181
What is the next term in 36, 33, 32, 33?
36
What is the next term in -132, -497, -1092, -1917, -2972?
-4257
What comes next: -463, -952, -1453, -1966, -2491, -3028, -3577?
-4138
What is the next term in -1150, -1146, -1142, -1138, -1134, -1130?
-1126
What is next in 3308, 6601, 9878, 13139, 16384, 19613?
22826
What comes next: -9, -1, 3, 3, -1, -9, -21?
-37
What comes next: -3970, -4009, -4050, -4093?
-4138
What is the next term in -8519, -17045, -25573, -34103, -42635, -51169, -59705?
-68243
What is the next term in 151, 310, 473, 640, 811, 986?
1165
What is the next term in 679, 2650, 5935, 10534, 16447, 23674?
32215
What is next in 2400, 2377, 2334, 2265, 2164, 2025, 1842, 1609?
1320
What is the next term in 41, 976, 2527, 4688, 7453, 10816, 14771?
19312
What is the next term in -101, 69, 365, 781, 1311?
1949
What is next in -1764, -1860, -2124, -2640, -3492, -4764, -6540?
-8904
What comes next: -274, -1103, -2468, -4357, -6758, -9659, -13048, -16913?
-21242
What is next in 357, 645, 933, 1221, 1509?
1797
What comes next: -17, 18, 119, 322, 663, 1178?
1903
What is next in -69065, -69066, -69067, -69068?
-69069
What is next in -153, -270, -389, -510, -633, -758?
-885
What comes next: -217, -879, -1981, -3523, -5505, -7927, -10789?
-14091
What is next in 53202, 53204, 53206, 53208?
53210
What is next in -14469, -28943, -43417?
-57891
What is the next term in 595, 2069, 4417, 7639, 11735?
16705
What comes next: -98, -137, -62, 187, 670, 1447, 2578?
4123
What is the next term in 9757, 9925, 10093, 10261?
10429
What is next in -151, -332, -519, -712, -911, -1116?
-1327
What comes next: -8054, -16100, -24146, -32192?
-40238
What comes next: -28265, -28261, -28257, -28253?
-28249
What comes next: 10394, 20817, 31244, 41675?
52110
What comes next: 1277, 1274, 1267, 1256, 1241, 1222?
1199
What comes next: 298104, 596180, 894258, 1192338, 1490420, 1788504, 2086590?
2384678
What is the next term in -2747, -2662, -2577?
-2492
What is the next term in 1705, 1654, 1575, 1468, 1333, 1170?
979
What is next in 859220, 859219, 859218, 859217, 859216?
859215
What is the next term in -11901, -23829, -35757?
-47685
What comes next: 58, 278, 620, 1084, 1670, 2378?
3208
What is the next term in 5401, 5404, 5407, 5410, 5413?
5416
What is the next term in -180, -401, -658, -951?
-1280
What is next in 3015, 3005, 2991, 2973, 2951, 2925, 2895?
2861
What is the next term in -2094901, -2094900, -2094899?
-2094898
What is the next term in -133830, -267664, -401534, -535458, -669454, -803540, -937734, -1072054?
-1206518
What is next in -357, -390, -423, -456, -489, -522?
-555
What is next in 1004, 4027, 9076, 16157, 25276, 36439, 49652?
64921
What is the next term in 377, 403, 429, 455, 481?
507
What comes next: 3724, 14897, 33520, 59593, 93116, 134089, 182512?
238385
What is next in -495014, -495013, -495012, -495011, -495010?
-495009
What is the next term in -11852, -11887, -11944, -12023, -12124, -12247?
-12392
What comes next: 2088, 2141, 2228, 2349?
2504
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192
What is next in -1650, -4214, -8568, -15606, -26222?
-41310
What is the next term in 287, 838, 1657, 2744, 4099, 5722, 7613?
9772
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-2195
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-21852
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-7769767
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5891
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606322
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47276
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169860
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-201698
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43
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-135675
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59163
What is next in -1142, -1251, -1440, -1715, -2082, -2547?
-3116
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314
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-278
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13252
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216573
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36513
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10927
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1762
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29941
What is the next term in -3586, -14378, -32364, -57544?
-89918
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-56250
What is next in 44
|
{
"pile_set_name": "DM Mathematics"
}
|
et n = y - 0.5. Sort 4, n, -3.
-3, 4, n
Let y(w) = w + 2. Let b be y(-3). Put 6, b, -3 in ascending order.
-3, b, 6
Suppose 3*n - n - 8 = 0. Sort n, 3, -2/7 in descending order.
n, 3, -2/7
Suppose 0*m + 5*m = -60. Let o = m + 8. Put 1, o, -1 in descending order.
1, -1, o
Let x = -4.01 + 0.01. Let n = -18 - -18.7. Let d = 4.3 + n. Put d, -0.1, x in decreasing order.
d, -0.1, x
Suppose 0 = -j + 2, -13*j + 16 = -5*q - 10*j. Sort 35, -1, q in descending order.
35, -1, q
Let s be 200 + 1 + (-4 - -3). Suppose -4*y + s = 48. Let d be y/88 + 3/(-12). Sort 0.4, 2/13, d in ascending order.
2/13, d, 0.4
Suppose 0 = -3*s + 2*s + 7. Suppose s*q - 4*q = 0. Sort q, 2, -3.
-3, q, 2
Let q = -0.44 - -0.84. Put 15, 2/3, -3/8, q in increasing order.
-3/8, q, 2/3, 15
Let p = -3/34 - -13/918. Let i = -23/54 + p. Let l = -21 + 43/2. Sort i, l, -1/5 in ascending order.
i, -1/5, l
Let b be ((0 + -4)/(-4)*0)/2. Sort -6, b, 5, -5 in ascending order.
-6, -5, b, 5
Let a = 44.2 + -44. Put a, -2, -0.2, 4 in decreasing order.
4, a, -0.2, -2
Suppose 3*t - 5*o = 24, -o - 2 - 1 = 0. Let s be -1*1 - -3 - 0. Suppose -s*f + 4 = 8. Sort f, 5, t.
f, t, 5
Let u = -6 - -11. Suppose -3 + 2 = -m. Sort -2, m, u in increasing order.
-2, m, u
Let o(z) = z**2 - 21*z - 22. Let n be o(22). Sort n, 4, 1 in ascending order.
n, 1, 4
Let y = -15 - -19. Let v = -0.5 + 2.5. Sort -1, v, y.
-1, v, y
Let u be -1 - 2*(0 + 1). Suppose -2*b + 8 = 3*i, 2*i = -4*b + 6*b + 2. Suppose -4*t - 2 = -14. Sort t, i, u in increasing order.
u, i, t
Let p = -12/7 + 170/91. Put p, -1/4, 3 in decreasing order.
3, p, -1/4
Let l = 49 - 51. Sort 3/2, -0.4, l, -3 in descending order.
3/2, -0.4, l, -3
Let p be 3 - ((-3)/12 - -4). Sort 0, p, 24 in increasing order.
p, 0, 24
Let a(d) = d - 5. Let c be a(9). Let b(i) = i + 4. Let s be b(-5). Put c, s, 3 in descending order.
c, 3, s
Let d = 9.1 + -9. Sort -1/2, -5, d.
-5, -1/2, d
Suppose 3*w = 3*o, 2*o - 24 = 6*o + 4*w. Put 3, o, 0, -1 in descending order.
3, 0, -1, o
Let d = -0.2 - 3.8. Put -18, -1/8, d in decreasing order.
-1/8, d, -18
Suppose 5*g = 6*g + 3. Sort 3, -4, g.
-4, g, 3
Suppose -5*p - 16 = 3*f, 2*f + 10 = -p - 2*p. Sort f, -6, 5 in descending order.
5, f, -6
Let t(z) = -2*z**2 - 6*z + 6. Let k be t(-6). Let s be 6/(-10)*k/27. Let r = 0.4 - 0.3. Put -2, s, r in descending order.
s, r, -2
Let c = -4 - -3.8. Suppose 3*u = 6*u. Let v = -286 + 2006/7. Sort u, v, c in increasing order.
c, u, v
Suppose -5*j = -20, 2*k - 1 = -3*j + 3. Sort 10, -5, k.
-5, k, 10
Let m = 1 + -1.5. Let y = 89/441 + 1/49. Sort m, y, 2/3 in decreasing order.
2/3, y, m
Let l = 5/942 + 59863/80070. Let t = 6/17 - l. Put -5, t, -0.3 in ascending order.
-5, t, -0.3
Let g = -9 + 7. Let a(t) = t**2 + 2*t - 1. Let c be a(-3). Put c, g, 0 in ascending order.
g, 0, c
Let h = -32 - -50. Let g = -3 + h. Suppose 0*f = 3*f + g. Sort f, 3, -3.
f, -3, 3
Suppose u + 21 = 4*n, 0 = 2*u + 3*u + 4*n - 15. Sort -6, u, -5 in increasing order.
-6, -5, u
Let h(k) = k**3 + 7*k**2 + 4*k - 8. Let t be h(-6). Suppose -t*n = 12 + 4. Sort n, -0.4, 0.3 in descending order.
0.3, -0.4, n
Let l = 646 - 23900/37. Put l, -1, -4/3, -0.1 in descending order.
l, -0.1, -1, -4/3
Let y = -6.1 + 11.1. Sort y, -2, -0.2, 1/5 in descending order.
y, 1/5, -0.2, -2
Let s = 5 + -4.7. Let a = 5.3 - s. Sort -0.1, -3, a in descending order.
a, -0.1, -3
Let w be (6/7)/3 - 31/35. Let h = -4 - -1. Sort w, h, 0 in ascending order.
h, w, 0
Let f = 1 - -4. Put 0.5, f, 1, -0.5 in descending order.
f, 1, 0.5, -0.5
Let c = 17 + -23. Let h(r) = -r**2 - r + 5. Let v be h(0). Let l be v + c + (-8)/2. Sort l, 1, 0.2 in decreasing order.
1, 0.2, l
Suppose 4*o = 8*o + a + 6, 5*o - 5*a = -20. Sort o, 0.5, -0.4, 2 in decreasing order.
2, 0.5, -0.4, o
Suppose -6*t + 4*t + 22 = 4*c, -3*c - 3*t = -21. Suppose -4*q = -y - 7 - 11, -2*q = y - 6. Let r be (-9 - -5)/(y + 0). Put c, 0, r in decreasing order.
c, r, 0
Let s(g) = -4 + 4*g**2 + 5*g + 1 + g**3 - 3*g. Let j be s(-3). Sort 5, -3, j.
-3, j, 5
Let a = -1.75 + 1.65. Put 0.1, -0.007, a in increasing order.
a, -0.007, 0.1
Let p = -0.33 - -0.3. Let n = p - 0.03. Let f = n + -2.94. Put f, 0.5, -1/2 in descending order.
0.5, -1/2, f
Let g(u) = -2*u - 1. Let l be g(-1). Let r = 109 - 1855/17. Put r, l, -1/4 in descending order.
l, r, -1/4
Suppose -3*o + 0*o - 10 = -2*l, -4*o + l - 15 = 0. Suppose 3*c - 8*c = -15. Suppose s + 3*g - 2 = 0, 9 = 2*s - 2*g - c. Sort o, s, -3 in decreasing order.
s, -3, o
Let i(j) = 11*j**2 - 68*j + 8. Let t be i(6). Let a(q) = 4*q + 3. Let w be a(-2). Put -1, t, w in decreasing order.
-1, t, w
Let v = 4639/13 - 357. Let l(t) = -t - 4. Let p be l(-3). Let w be -2 - p - (-10)/6. Sort w, v, -4/7 in decreasing order.
w, v, -4/7
Let i = 488/5 - 98. Sort i, -1/9, -2 in increasing order.
-2, i, -1/9
Let y be ((-1)/3)/(6/(-90)). Suppose 0 = -5*r - y. Sort 12, r, -4 in increasing order.
-4, r, 12
Let b = 0.97 + -1. Put b, -0.2, -4 in descending order.
b, -0.2, -4
Suppose -4*p + 3*r = 23, 5 = -2*p - r - 4. Sort p, -4, 1 in increasing order.
p, -4, 1
Let y(l) be the second derivative of -l**5/20 + l**4/2 - l**3/6 + 4*l**2 - l. Let k be y(6). Let z = 2 + 2. Sort 0, z, k in decreasing order.
z, k, 0
Let b(c) = -c**3 - 5*c**2 - 2*c + 5. Let s be b(-4). Suppose 15*q = 7*q + 8. Put q, s, 5 in descending order.
5, q, s
Let h = -2 + 5. Let u(s) = 3 - 4*s**2 - 4*s**h + 3*s**2 + 3*s**3. Let r be u(0). Sort r, 1, -2.
-2, 1, r
Let i = -4 - -1. Let t = 2 - 1.7. Sort i, t, -9 in ascending order.
-9, i, t
Let j(a) = a**3 - 2*a - 1. Suppose 1 = 4*p + 9. Let h be j(p). Sort h, -4, 2 in descending order.
2, -4, h
Suppose 2*w = 3 - 7. Sort 1, 2, w in increasing order.
w, 1, 2
Let c(y) = -4*y + y**2 - 1 + 0*y**2 + 3. Let h be c(4). Let z = 0.16 + 0.34. Sort z, -1, h in decreasing order.
h, z, -1
Let f = 7.5 + -7.1. Sort 0, 0.5, f, -6 in decreasing order.
0.5, f, 0, -6
Let x = -7 + 2. Suppose 0*m = 2*d + 2*m, -2*m - 12 = -2*d. Put d, x, -3 in descending order.
d, -3, x
Suppose -4*i = -5*p + 17, -13 = -3*p + 2*p - 4*i. Sort 3, 4, p in descending order.
p, 4, 3
Let k = -19 + 19.9. Let s = -15 - -13.9. Let y = k + s. Sort y, -0.4, 0.2 in descending order.
0.2, y, -0.4
Suppose -3*r + 2*d = r - 8, 4*r - 28 = -3*d. Suppose -r*b - 29 = -41. Sort b, 0, -5 in ascending order.
-5, 0, b
Let a = -0.12 + 3.12. Put -1, 1/3, a in descending order.
a, 1/3, -1
Let k = 0.06 - -0.04. Let p = -0.79 - -0.38. Let x = p - -0.01. Sort k, x, -0.5 in descending order.
k, x, -0.5
Suppose 3*a = -a - 20. Sort 0, a, -2 in descending order.
0, -2, a
Suppose -3*q + q = -2, -2*t - 6 = -4*q. Suppose 0 = -3*c - 2*c + 15. Put c, t, 1 in descending order.
c, 1, t
Let q be -3 - -2*(-1)/1. Let u(z) = -z**3 + 7*z**2 - 5*z - 2. Let b be u(6). Sort q, 3/5, b.
q, 3/5, b
Let v be (18/(-4))/((-6)/8). Let b be (-4 + v)/(2*-1). Let h(s) = s + 7. Let w be h(-11). Put w, 0.5, b in descending order.
0.5, b, w
Suppose -8*i - 35 = -13*i. Put -5, i, 3, 2 in ascending order.
-5, 2, 3, i
Let j be 3*(-2 + -2)/4. Sort 2, -5, j.
-5, j, 2
Let u(x) = -x - 3. Let o be u(-4). Let v = 0.3 - 0.6. Let h(f) = -f + 6. Let r be h(9). Sort v, r, o in descending order.
o, v, r
Let n = 1 + -0.6. Let p = n - 0. Let a = p + 0.1. Put 3, 1/4, a in descending order.
3, a, 1/4
Let q = -0.045 - -0.545. Put -5, q, -1, -1/8 in ascending order.
-5, -1, -1/8, q
Let i = -34 + 29. Suppose 1 = -2*k + k. Put -4, i, k in ascending order.
i, -4, k
Let h = 1 + 4. Suppose 5*x - 5 = 15. Sort h, x, 1 in decreasing order.
h, x, 1
Suppose 2*g + 2*x = 8, -4*g = 7*x - 2*x - 18. Suppose -4 = 3*d - 1. Sort -4, g, d in increasing order.
-4, d, g
Suppose 3*s = 5 - 2. Suppose 7*o = 10*o + 9. Sort o, s, 4 in descending order.
4, s, o
Let n = -12.7 + 13. Let c = 0.2 - n. Sort 2, -4, c in increasing order.
-4, c, 2
Let s = -47 + 27. Let c be (-6)/4*s/(-15). Sort c, 3, 2 in increasing order.
c, 2, 3
Let h = 3.821 + -4. Let d = 0.051 - h. Let o = 0.07 + d. Sort o, -3, -2 in decreasing order.
o, -2, -3
Let f be (3 + 1)/((-6)/(-33)). Sort 4, 5, f.
4, 5, f
Suppose 2*f = -0 - 14. Let d(y) = y**2 + 5*y - 10. Let s be d(f). Put s, 0.3, 1 in ascending order.
0.3, 1, s
Let x(l) = l**2 - 4. Let z(j) = j**2 - j - 5. Let d(a) = 5*x(a) - 4*z(a). Let b be d(-5). Let n be ((-2)/b)/((-1)/(-5)). Put 5, -1, n in descending order.
5, -1,
|
{
"pile_set_name": "DM Mathematics"
}
|
- 163*g**2 + 4*g + 11873
What is the o'th term of 163716, 163615, 163514, 163413, 163312?
-101*o + 163817
What is the w'th term of 2284623, 9141117, 20568615, 36567123, 57136647, 82277193, 111988767?
w**3 + 2285496*w**2 - w - 873
What is the r'th term of 1356, 2886, 4540, 6318, 8220?
62*r**2 + 1344*r - 50
What is the b'th term of -572182, -572131, -572070, -571999, -571918, -571827?
5*b**2 + 36*b - 572223
What is the w'th term of 16737, 17879, 19005, 20115?
-8*w**2 + 1166*w + 15579
What is the p'th term of -29976, -30196, -30564, -31080, -31744?
-74*p**2 + 2*p - 29904
What is the b'th term of 97066, 194142, 291224, 388312, 485406?
3*b**2 + 97067*b - 4
What is the u'th term of -227650214, -227650218, -227650232, -227650262, -227650314, -227650394, -227650508, -227650662?
-u**3 + u**2 - 227650214
What is the o'th term of 4200, 19629, 45340, 81333, 127608?
5141*o**2 + 6*o - 947
What is the r'th term of 1094511, 1094474, 1094437, 1094400, 1094363, 1094326?
-37*r + 1094548
What is the g'th term of -14150, -12462, -9638, -5672, -558?
g**3 + 562*g**2 - 5*g - 14708
What is the x'th term of 1358023, 1357997, 1357971, 1357945?
-26*x + 1358049
What is the f'th term of 1888558, 1888562, 1888566, 1888570, 1888574?
4*f + 1888554
What is the x'th term of -911628, -1823340, -2735052, -3646764?
-911712*x + 84
What is the y'th term of -14283135, -14283121, -14283107?
14*y - 14283149
What is the i'th term of 1603699, 3207360, 4811021, 6414682?
1603661*i + 38
What is the y'th term of 466489, 1867160, 4201611, 7469842?
466890*y**2 + y - 402
What is the u'th term of -9127, -9500, -9889, -10300, -10739, -11212, -11725?
-u**3 - 2*u**2 - 360*u - 8764
What is the r'th term of -10879, -10891, -10903, -10915, -10927?
-12*r - 10867
What is the m'th term of 67400028, 134800057, 202200086, 269600115, 337000144, 404400173?
67400029*m - 1
What is the v'th term of 5830, 6023, 6340, 6781?
62*v**2 + 7*v + 5761
What is the c'th term of 7866622, 62933039, 212399028, 503464375, 983328866, 1699192287, 2698254424, 4027715063?
7866631*c**3 - 9
What is the n'th term of -19083821, -19083819, -19083817, -19083815, -19083813, -19083811?
2*n - 19083823
What is the w'th term of -28415076, -28415073, -28415070, -28415067, -28415064?
3*w - 28415079
What is the q'th term of 44802317, 44802315, 44802313, 44802311?
-2*q + 44802319
What is the m'th term of 825, 883, 939, 993, 1045?
-m**2 + 61*m + 765
What is the n'th term of 347905460, 695810921, 1043716382, 1391621843?
347905461*n - 1
What is the n'th term of 732, 4174, 10110, 18540?
1247*n**2 - 299*n - 216
What is the h'th term of 178089, 352390, 526703, 701034, 875389, 1049774, 1224195?
h**3 + 174294*h + 3794
What is the s'th term of 1063860, 4255420, 9574688, 17021664, 26596348, 38298740, 52128840?
1063854*s**2 - 2*s + 8
What is the o'th term of 30529725, 30529722, 30529719, 30529716?
-3*o + 30529728
What is the h'th term of -272599, -545292, -817985?
-272693*h + 94
What is the o'th term of -5734, -11587, -17448, -23317?
-4*o**2 - 5841*o + 111
What is the p'th term of -26862859, -53725720, -80588581?
-26862861*p + 2
What is the f'th term of 21618, 4791, -12036, -28863, -45690?
-16827*f + 38445
What is the z'th term of 2239125036, 2239125041, 2239125048, 2239125057?
z**2 + 2*z + 2239125033
What is the z'th term of -12324904, -24649808, -36974712, -49299616?
-12324904*z
What is the o'th term of 263592, 263614, 263660, 263736, 263848?
o**3 + 6*o**2 - 3*o + 263588
What is the q'th term of -9615585, -9615596, -9615607?
-11*q - 9615574
What is the c'th term of 83271, 83363, 83519, 83739?
32*c**2 - 4*c + 83243
What is the l'th term of -10306, -82120, -276982, -656416, -1281946, -2215096?
-10254*l**3 - 36*l - 16
What is the n'th term of -372, -240, 222, 1212, 2928?
33*n**3 - 33*n**2 - 372
What is the i'th term of 391440772, 782881539, 1174322304, 1565763067?
-i**2 + 391440770*i + 3
What is the m'th term of 9593, 37918, 84979, 150776, 235309, 338578, 460583?
9368*m**2 + 221*m + 4
What is the d'th term of -1696483, -3392974, -5089469, -6785968, -8482471?
-2*d**2 - 1696485*d + 4
What is the t'th term of 37860, 303165, 1023284, 2425623, 4737588?
37901*t**3 + t**2 - 5*t - 37
What is the q'th term of -7316496, -7316492, -7316488, -7316484, -7316480, -7316476?
4*q - 7316500
What is the v'th term of -6579090, -13158103, -19737116, -26316129, -32895142, -39474155?
-6579013*v - 77
What is the g'th term of 76777, 153440, 230103, 306766, 383429, 460092?
76663*g + 114
What is the v'th term of 29644, 29773, 30104, 30739, 31780?
17*v**3 - v**2 + 13*v + 29615
What is the m'th term of 16150018, 16150036, 16150078, 16150156, 16150282, 16150468, 16150726, 16151068?
2*m**3 + 4*m + 16150012
What is the h'th term of -2556, -2132, -1580, -900, -92, 844, 1908?
64*h**2 + 232*h - 2852
What is the q'th term of -120490, -488216, -1101092, -1959118, -3062294?
-122575*q**2 - q + 2086
What is the j'th term of -5197, -41416, -139741, -331228, -646933?
-5176*j**3 + 3*j**2 + 4*j - 28
What is the j'th term of 24208563, 24208571, 24208579, 24208587, 24208595?
8*j + 24208555
What is the l'th term of 9418, 17833, 26274, 34747, 43258?
l**3 + 7*l**2 + 8387*l + 1023
What is the p'th term of -2686, -7840, -11144, -8272, 5102?
721*p**3 - 3401*p**2 + 2*p - 8
What is the q'th term of -1506341, -1506344, -1506347, -1506350, -1506353?
-3*q - 1506338
What is the m'th term of 52, -2100, -5702, -10760, -17280, -25268, -34730, -45672?
-m**3 - 719*m**2 + 12*m + 760
What is the r'th term of 94, -27, -316, -845, -1686?
-12*r**3 - 12*r**2 - r + 119
What is the q'th term of -19679, -90774, -209273, -375182, -588507, -849254?
-q**3 - 23696*q**2 + 4018
What is the i'th term of 496748, 993619, 1490490, 1987361?
496871*i - 123
What is the t'th term of -4774, -9466, -14086, -18640, -23134?
-t**3 + 42*t**2 - 4811*t - 4
What is the r'th term of 24600, 48300, 72000, 95700?
23700*r + 900
What is the r'th term of -372309, -372374, -372439?
-65*r - 372244
What is the j'th term of -588561, -588586, -588609, -588630, -588649, -588666?
j**2 - 28*j - 588534
What is the v'th term of -1089998409, -2179996817, -3269995225, -4359993633, -5449992041?
-1089998408*v - 1
What is the m'th term of 1474, 3051, 4806, 6739, 8850, 11139?
89*m**2 + 1310*m + 75
What is the b'th term of 233137373, 233137372, 233137371, 233137370, 233137369?
-b + 233137374
What is the d'th term of 3049, 2591, 1843, 805?
-145*d**2 - 23*d + 3217
What is the b'th term of 80695, 161491, 242245, 322957, 403627, 484255, 564841?
-21*b**2 + 80859*b - 143
What is the j'th term of -189475, -757898, -1705271, -3031594, -4736867?
-189475*j**2 + 2*j - 2
What is the g'th term of -37897, -37477, -37057, -36637?
420*g - 38317
What is the u'th term of -2449775, -2449812, -2449877, -2449976, -2450115, -2450300, -2450537?
-u**3 - 8*u**2 - 6*u - 2449760
What is the j'th term of 377, 1186, 2025, 2906, 3841?
2*j**3 + 3*j**2 + 786*j - 414
What is the q'th term of -35205, -67772, -100339?
-32567*q - 2638
What is the a'th term of 110, -1026, -2162, -3298?
-1136*a + 1246
What is the n'th term of -13202, -106767, -360738, -855317, -1670706?
-13367*n**3 - n**2 + 7*n + 159
What is the c'th term of 48102, 48423, 48744, 49065, 49386, 49707?
321*c + 47781
What is the f'th term of 2334782, 4669564, 7004346?
2334782*f
What is the u'th term of 209577, 838199, 1885895, 3352665, 5238509, 7543427?
209537*u**2 + 11*u + 29
What is the i'th term of -582635, -1165171, -1747707?
-582536*i - 99
What is the s'th term of 13131, 26583, 40363, 54471, 68907, 83671?
164*s**2 + 12960*s + 7
What is the v'th term of 34810601, 34810607, 34810613, 34810619?
6*v + 34810595
What is the k'th term of 183, 407, 509, 429, 107, -517?
-10*k**3 - k**2 + 297*k - 103
What is the u'th term of 23990953, 95963825, 215918611, 383855311, 599773925?
23990957*u**2 + u - 5
What is the k'th term of 3207, 25764, 87035, 206376, 403143, 696692, 1106379, 1651560?
3226*k**3 + k**2 - 28*k + 8
What is the y'th term of 96728, 193440, 290106, 386726, 483300, 579828?
-23*y**2 + 96781*y - 30
What is the s'th term of -1869215, -3738398, -5607581, -7476764, -9345947?
-1869183*s - 32
What is the o'th term of -8569325, -8569329, -8569333, -8569337?
-4*o - 8569321
What is the n'th term of -317, -376, -425, -470, -517, -572?
-n**3 + 11*n*
|
{
"pile_set_name": "DM Mathematics"
}
|
ttccctttttcct. Give prob of picking 4 c.
1/143
Four letters picked without replacement from yddccdodd. What is prob of picking 1 y and 3 d?
5/63
Two letters picked without replacement from xxuxvbuxxxbsxsuzu. Give prob of picking 1 s and 1 v.
1/68
Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xxxxxxxxxoxxoxxxxx.
32/153
Calculate prob of picking 2 t and 2 o when four letters picked without replacement from {u: 7, t: 2, c: 3, o: 5}.
1/238
Calculate prob of picking 1 q and 2 p when three letters picked without replacement from {j: 3, p: 7, q: 3}.
63/286
What is prob of picking 1 e and 1 t when two letters picked without replacement from {u: 2, h: 6, n: 1, t: 1, c: 1, e: 4}?
4/105
Four letters picked without replacement from {n: 10, r: 1, g: 2, b: 3, v: 1}. What is prob of picking 1 b, 1 v, and 2 n?
27/476
Two letters picked without replacement from {d: 4, k: 4, p: 1, y: 3, v: 1, m: 4}. Give prob of picking 1 p and 1 y.
3/136
Three letters picked without replacement from {s: 6, o: 2}. What is prob of picking 3 s?
5/14
Two letters picked without replacement from qzltqiqq. What is prob of picking 1 l and 1 z?
1/28
Three letters picked without replacement from {t: 1, c: 2, q: 3, a: 5, e: 5}. Give prob of picking 1 a, 1 e, and 1 q.
15/112
What is prob of picking 3 d and 1 e when four letters picked without replacement from {d: 7, e: 4}?
14/33
Calculate prob of picking 1 h and 2 k when three letters picked without replacement from kkhhhhhhhk.
7/40
Three letters picked without replacement from vqqxxxvpxp. What is prob of picking 2 x and 1 v?
1/10
Two letters picked without replacement from bbcymbm. Give prob of picking 1 c and 1 y.
1/21
Calculate prob of picking 3 f and 1 y when four letters picked without replacement from dfxafddyffffduxd.
1/91
Calculate prob of picking 3 g when three letters picked without replacement from fgggfgggggggggggggg.
40/57
What is prob of picking 2 b and 2 h when four letters picked without replacement from {b: 6, h: 7}?
63/143
Two letters picked without replacement from qmyabbybmmb. What is prob of picking 1 y and 1 a?
2/55
Three letters picked without replacement from oogpkgoooogkcgoggo. Give prob of picking 1 c, 1 p, and 1 o.
1/102
Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {o: 14, a: 4}.
56/153
Two letters picked without replacement from {b: 6, g: 4, m: 9}. Give prob of picking 1 b and 1 m.
6/19
What is prob of picking 2 k, 1 p, and 1 z when four letters picked without replacement from zkzkzppkz?
4/21
Calculate prob of picking 3 o when three letters picked without replacement from ooossososssoo.
35/286
Calculate prob of picking 2 o when two letters picked without replacement from bbbrobbbrbo.
1/55
Three letters picked without replacement from sssszszzzss. What is prob of picking 1 z and 2 s?
28/55
What is prob of picking 3 h when three letters picked without replacement from hxhh?
1/4
Two letters picked without replacement from bqqlnmllnmrllllmbn. What is prob of picking 2 m?
1/51
Calculate prob of picking 3 f when three letters picked without replacement from ffsffffffffffff.
4/5
Three letters picked without replacement from {q: 8, b: 2}. Give prob of picking 1 q and 2 b.
1/15
What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 10, d: 2}?
10/33
Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {r: 1, s: 3, l: 5, n: 4, i: 1, w: 4}.
4/51
Four letters picked without replacement from ppkdkdddddddddpddvn. What is prob of picking 2 d and 2 p?
33/646
Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 3, e: 3, z: 3, o: 1, g: 7, l: 1}.
1/51
Four letters picked without replacement from kmkkmkkkkmkkkkmkkmkk. What is prob of picking 2 m and 2 k?
70/323
Two letters picked without replacement from eeqexqxqvqqj. Give prob of picking 2 q.
5/33
Four letters picked without replacement from {s: 2, g: 2, l: 4, m: 4, u: 2, r: 1}. Give prob of picking 1 g, 1 m, and 2 l.
16/455
Three letters picked without replacement from {e: 1, w: 2, h: 2, z: 1}. What is prob of picking 2 w and 1 z?
1/20
Two letters picked without replacement from {n: 4, c: 2}. What is prob of picking 2 n?
2/5
Calculate prob of picking 2 l when two letters picked without replacement from lllllll.
1
Three letters picked without replacement from vcedzcv. Give prob of picking 1 e, 1 z, and 1 c.
2/35
Four letters picked without replacement from {y: 8, a: 1, k: 4}. Give prob of picking 1 k, 1 a, and 2 y.
112/715
Three letters picked without replacement from dxxxxxxxxxxxxxdxxxxx. What is prob of picking 2 x and 1 d?
51/190
Three letters picked without replacement from unanmnxuunmumn. Give prob of picking 2 n and 1 x.
5/182
Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 2, l: 1, z: 1, y: 2, t: 1}.
2/21
Calculate prob of picking 2 c and 1 m when three letters picked without replacement from {m: 10, c: 1, x: 7}.
0
Three letters picked without replacement from qhjzhiz. Give prob of picking 1 j and 2 z.
1/35
Calculate prob of picking 1 j, 1 c, and 2 u when four letters picked without replacement from {c: 5, e: 2, w: 1, u: 2, j: 6}.
3/182
Calculate prob of picking 2 v and 2 z when four letters picked without replacement from xtiizixztvtiixi.
0
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {r: 2, i: 10}.
10/33
What is prob of picking 2 u and 2 p when four letters picked without replacement from ppuukudkddddppd?
6/455
Three letters picked without replacement from {r: 1, s: 7, w: 5}. Give prob of picking 3 w.
5/143
Three letters picked without replacement from {l: 6, t: 2, k: 9, n: 2}. Give prob of picking 1 l and 2 n.
2/323
Three letters picked without replacement from pyypypp. Give prob of picking 3 y.
1/35
Three letters picked without replacement from cccc. What is prob of picking 3 c?
1
What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 4, b: 1, o: 2, z: 3}?
4/15
Three letters picked without replacement from {k: 2, y: 4}. Give prob of picking 3 y.
1/5
Two letters picked without replacement from {c: 1, p: 1, d: 1, f: 1, r: 1}. What is prob of picking 1 d and 1 p?
1/10
Four letters picked without replacement from veuuueuuuppupuvppvu. Give prob of picking 1 u, 1 v, 1 p, and 1 e.
45/646
What is prob of picking 1 c and 3 p when four letters picked without replacement from ccpppccpppppcppcpp?
22/51
What is prob of picking 4 h when four letters picked without replacement from {r: 2, p: 1, h: 4}?
1/35
Calculate prob of picking 2 u when two letters picked without replacement from {b: 5, u: 6, l: 2}.
5/26
What is prob of picking 1 l and 1 i when two letters picked without replacement from ljjjjsrjjill?
1/22
What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 1, h: 5, i: 1, d: 1, n: 2, j: 7}?
7/136
Two letters picked without replacement from fyqyena. What is prob of picking 1 f and 1 e?
1/21
Two letters picked without replacement from {u: 1, x: 6, l: 4, e: 2, k: 2}. Give prob of picking 1 u and 1 k.
2/105
Calculate prob of picking 3 j when three letters picked without replacement from {m: 1, g: 13, j: 3}.
1/680
Calculate prob of picking 2 h, 1 m, and 1 x when four letters picked without replacement from {b: 1, x: 1, q: 3, k: 4, h: 1, m: 2}.
0
Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {k: 2, w: 3, e: 12}.
3/340
Two letters picked without replacement from rnjpjrxijjjxjpx. Give prob of picking 1 x and 1 n.
1/35
What is prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from {s: 1, r: 4, b: 1, q: 1, a: 4, o: 3}?
3/91
Two letters picked without replacement from {b: 1, d: 1, p: 2, f: 1}. What is prob of picking 1 p and 1 f?
1/5
Calculate prob of picking 1 c and 1 t when two letters picked without replacement from ctttcccctccctttttct.
10/19
Three letters picked without replacement from {x: 1, y: 11}. What is prob of picking 1 x and 2 y?
1/4
Two letters picked without replacement from {t: 4, w: 3, j: 7}. What is prob of picking 1 j and 1 t?
4/13
Calculate prob of picking
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{
"pile_set_name": "DM Mathematics"
}
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0 = 0. Let y(p) = p - 4. What is y(b)?
2
Suppose -4 = -3*l + 2. Let c be -4*l*(-2)/(-4). Let a(s) be the first derivative of 3*s**2/2 + 6*s - 1. Determine a(c).
-6
Let c(j) = -2*j + 1. Let k be c(-1). Suppose 0*g + g = -5*f - 12, k = -3*f - 2*g. Let h(l) = l**2 + 4*l + 2. Give h(f).
-1
Let q(d) = -3*d**3 + 3*d**2 - 2*d + 1. Let j(z) = z**2 - 13*z - 4 + 3 + 3. Let r be j(13). Calculate q(r).
-15
Let o(j) = 2*j. Suppose 0 = -11*c + 6*c + 15. Suppose 0 = -c*b + 11 - 2. Determine o(b).
6
Let d(f) = -3*f**3 - 3*f**2 - f + 1. Let k(j) = -2*j**3 - j**2 - j. Let i(t) = 3*d(t) - 5*k(t). Give i(3).
0
Let g = 1 + 4. Let p(o) be the second derivative of o**4/12 - 2*o**3/3 - 3*o**2/2 - 2*o. Calculate p(g).
2
Let n(m) be the third derivative of -m**4/24 + 5*m**3/6 - 2*m**2. What is n(6)?
-1
Let c(z) be the third derivative of 0*z + 1/120*z**6 - 1/15*z**5 + 1/12*z**4 + 0 + z**2 + 0*z**3. Determine c(3).
-3
Let i(n) = n**2 + n - 5. Let r be i(-5). Let c be (24/r)/(4/10). Let a(t) be the second derivative of -t**5/20 + t**4/3 + 5*t**2/2 + 5*t. What is a(c)?
5
Let s(o) = 3*o - 12 + 1 + 6. Give s(4).
7
Let i(p) = p**2 + p. Suppose 2*f - 3 = -1. What is i(f)?
2
Let a(z) = z. Suppose 0*y = 5*y - 50. Let h be 2/y + 18/10. Let t be -1*1*(5 - h). Calculate a(t).
-3
Let w(d) = d - 3. Let g(i) = 3. Let s(k) = 2*g(k) + 3*w(k). Calculate s(-4).
-15
Let d(k) = k - 4. Let l be d(6). Suppose -l*w + 4*w - 5*r = 14, -5*w = -5*r - 20. Let g(t) be the first derivative of t**2/2 - t - 1. Calculate g(w).
1
Let n(x) = x + 7. Let l(z) be the first derivative of z**2/2 + 7*z + 3. Let y(m) = -4*l(m) + 3*n(m). What is y(-6)?
-1
Suppose -2*h + 20 = 3*h. Let q(c) = c - h + 5*c**2 - c**3 + 1 + 0*c. Let i = 8 - 3. What is q(i)?
2
Let s = -5 - -8. Suppose -s*k = -0*k. Let g(p) be the second derivative of -p**5/20 + p**4/12 - 3*p**2 - 2*p. Calculate g(k).
-6
Suppose 3*f = -r + 6*r + 10, 3*f = -3*r + 18. Let g(v) be the third derivative of v**4/12 - v**3/6 + 19*v**2. Determine g(f).
9
Let u(x) = 6*x + 2 + 7*x - 12*x. Let g(a) = 2*a. Let n be g(3). Give u(n).
8
Suppose 4*u = 0, 4*s - 25 + 1 = 2*u. Suppose 3*t + s = -0*t. Let q(d) = -2*d**3 - 3*d**2 - 4*d - 3. What is q(t)?
9
Suppose 17 = h - 4*p, -h - h - 5*p = 18. Let b(s) = 10*s**3 - s**2 + s - 1. What is b(h)?
9
Let w = 5 - 2. Let s(o) = -2*o + 3. Let b(l) = l - 4. Let q(i) = w*b(i) + 2*s(i). Let y(c) = c**3 - 5*c**2 + 2*c + 3. Let t be y(4). Calculate q(t).
-1
Let q(o) = -o**3 - 2*o**2 + 2. Let a(z) be the third derivative of -z**4/24 + 4*z**3/3 + 3*z**2. Let y be a(10). What is q(y)?
2
Let n = -6 - -9. Let h be (4/6)/(n/27). Suppose g - 5 = h*g. Let w(u) = u**2 + 1. Give w(g).
2
Let q(u) = u**3 - 4*u**2 - 2*u - 7. Suppose -7*s = 3*s - 50. Determine q(s).
8
Suppose -12*a + 9*a = -24. Let p(o) = -o**2 + 7*o + 5. What is p(a)?
-3
Let c(s) be the second derivative of s**4/12 - 2*s**3/3 - 5*s**2/2 - 5*s. Let j be 159/(-18) + 2/(-12). Let a = j - -13. What is c(a)?
-5
Let c(w) = -3*w. Let d = -8 + 7. What is c(d)?
3
Let i(t) = t**2 + 2*t. Let x be (-3 + 0)*(-3 + 4). What is i(x)?
3
Let n(c) = 4*c + 2*c + c + 48 - 5*c. Let w be n(-21). Let i(q) = 5 - q**2 + 2 + q**3 - 5*q**2. What is i(w)?
7
Let f(r) = -5*r - 1 + 3*r**2 - 4*r**3 + 3*r**2 + 5*r**3 - 2*r**3. Let g be f(5). Let i(p) = -5*p**3 - 2*p**2 - 2*p - 1. What is i(g)?
4
Let s(i) = 10*i**2. Let c = 1 - -3. Suppose -x = -4*m - 7, -x - c*m - 7 = -m. Determine s(x).
10
Let s(m) = -2*m - 1. Let b be (-2 + (2 - -1))*(-102)/17. Determine s(b).
11
Let g(m) = -2*m - 7. Let t be g(-5). Let o(x) = -x**2 + 2*x - 4. Determine o(t).
-7
Let y(a) = 7*a**2 + 4*a + 9. Let f(n) = -6*n**2 - 3*n - 8. Let r(z) = 6*f(z) + 5*y(z). Let j be ((-12)/(-20) + 0)*5. What is r(j)?
-6
Let m(i) = 6*i**3 + i**2 + i - 1. Let r(a) = a**2 + 5*a + 5. Let j be r(-1). What is m(j)?
7
Let q = 15 - 9. Let n(v) be the third derivative of v**4/24 + v**3/3 - 55*v**2. What is n(q)?
8
Let j(x) = -x**3 - x**2 - 5. Let s be j(0). Let z(w) = -7*w - 13. Let g(n) = 10*n + 19. Let a(r) = s*g(r) - 7*z(r). Let k = -3 + 3. Determine a(k).
-4
Let z(o) = -3*o - 2. Let a(n) = -n - 1. Let m(u) = -6*a(u) + 3*z(u). Let h(v) = -6 + 2*v + 2*v + v**2 + 2*v. Let b be h(-7). Give m(b).
-3
Let h(o) = 7*o**2 - 1. Let u be (-25)/5 + (0 - -3). Let q be 0 + (u - (-1 - 2)). Give h(q).
6
Let a(m) = m**3 - 9*m**2 + m - 10. Let x(t) = -t**3 - 6*t**2 - 6*t + 4. Let l be x(-5). Calculate a(l).
-1
Let g(q) be the second derivative of -q**4/12 - 7*q**3/6 - q**2 - 5*q. Determine g(-6).
4
Let t(l) = -l**2 + l. Let g be t(-2). Let h be (2 + 1)*10/g. Let m(r) = 2*r - 1. What is m(h)?
-11
Let x(g) = 6*g + 37. Let j be x(-7). Let c(m) = -m**3 + 8*m**2 + 4*m + 2. Let w(i) = 3*i**3 - 17*i**2 - 8*i - 5. Let q(k) = -5*c(k) - 2*w(k). Calculate q(j).
-5
Suppose -3*v + 3 = 18. Let y(i) = i**2 + 6*i + 5. Give y(v).
0
Let r(b) = -b + 1. Let v be r(5). Let y be 3/(-2) + (-2)/v. Let k(t) be the third derivative of t**4/24 + 2*t**2. Calculate k(y).
-1
Let o(m) = 3*m**2 + 6*m + 7. Let j(g) = -5*g**2 - 5*g - 7. Let c(n) = 2*j(n) + 3*o(n). Determine c(8).
7
Let t(r) = -2*r. Let y(i) = -i. Let s(m) = 3*t(m) - 10*y(m). Let h be s(-1). Let v(k) = 4*k - 1. Let q(p) = -5*p + 1. Let g(d) = 5*q(d) + 6*v(d). What is g(h)?
3
Let j = 2 + 3. Let k(q) = q + j - 5. What is k(3)?
3
Suppose 0*p - 6 = -3*p. Suppose -3*d - 3*u = d - 29, -5*d + p*u + 42 = 0. Let l(x) = -d*x + 3*x - 3*x. What is l(1)?
-8
Let v be -2*3/6 - -1. Suppose v*z + 18 = -3*z. Let n = z - -3. Let c(j) = j**3 + j**2 - 4*j - 1. Determine c(n).
-7
Let m(p) = -7*p + 7. Let h(k) = 4*k - 3 - 3*k + 2*k. Let c(x) = -15*h(x) - 6*m(x). Give c(4).
-9
Let s(w) = -2*w - 2. Suppose 9 = -3*o + 3. Let n be (-4 - -6)/(o/3). Calculate s(n).
4
Suppose o - 2*m = -o - 20, 0 = -5*m + 25. Let a(d) be the first derivative of 1 - 3*d - 5/3*d**3 - 1/4*d**4 + 1/2*d**2. Determine a(o).
-8
Let v(d) = d**2 - 2*d - 5. Suppose -2*i - 5*f = 3 + 7, 0 = -4*i - 5*f. What is v(i)?
10
Let u = 13 - 9. Let x = u + -2. Let i(m) = m**2 + 3 - 2*m**2 + x - 3. Give i(2).
-2
Let c be (0 + 0)/((-6)/(-6)). Let y = 0 - -3. Let n(i) = 4 - y*i + 5*i + c*i. Calculate n(-4).
-4
Suppose -7 = -4*b + 3*g, 6*g + 19 = 3*b + g. Let h be 0 - 1/((-1)/3). Let q(a) = 2*a - 4*a - h*a + 1. Determine q(b).
11
Let g(r) = -r. Let c(q) = -6*q - 1. Let w(k) = -c(k) + 5*g(k). Determine w(3).
4
Let g(s) = 4*s + 3. Let o be g(-2). Let f(p) be the second derivative of p**2 + 1/20*p**5 + 0*p**3 + 5/12*p**4 + 0 - 8*p. What is f(o)?
2
Let r(k) = -k + 2. Suppose -4*v - 35 + 99 = 5*q, v = -5*q + 76. Let a be (q/(-6))/((-6)/(-9)). Calculate r(a).
6
Let y = -42 + 46. Let j(g) = -g**2 + 4*g + 5. What is j(y)?
5
Suppose c - 35 + 11 = 3*h, 5*c + 15 = 0. Let x(a) = -a - 7. Let g be x(h). Let n(v) = -3*v - 2. Determine n(g).
-8
Let o(p) be the second derivative of -p**3/3 + p**2/2 + 5*p - 8. Determine o(-4).
9
Let n(w) be the first derivative of -4*w**3/3 + 3*w**2/2 - w - 1. Let h(z) = z**2 + z. Let o(i) = 3*h(i) - n(i). Let k = 34 - 33. What is o(k)?
8
Suppose 0 = 2*d + d. Let a be d*((-14)/4 + 3). Let j(z) = z - 3. What is j(a)?
-3
Let w = 124 - 116. Let r(v) = -v**3 + 8*v**2 + v + 6. Calculate r(w).
14
Suppose -q + 10 = -6*q - 5*y, 2*q = -y - 6. Let g(p) = 4*p**2 - 69*p + 69*p + p**3 + 3. Calculate g(q).
3
Let z(k) = 3*k + 4*k**3 + 5*k**3 - 8*k**3 + k**2 + 4 - 6*k**2. Give z(3).
-5
Let r(h) = -5*h**3 + 23*h**2 + 8*h - 5. Let q(s) = 3*s**3 - 15*s**2 - 5*s + 3. Let z(o) = -8*q(o) - 5*r(o). Let g = 13 + 2. Let m be (g/2)/(-3)*2. Give z(m).
1
Let y(m) = 5 + 7*m**3 - 4*m**3 - m**2 - 2*m + 2*m**2 - 4. Let h be (-4)/18 + 22/18. Give y(h).
3
Let v be (0 - 2) + 3 + 2. Let q(g) be the second derivative of -7/2*g**2 + g + 1/6*g**v + 0. Determine q(6).
-1
Let u(k) = -k**2 + 4*k - 6. Let z(v) = -2*v**2 + 7*v - 13. Let y(l) = l + 7. Let f be y(-12). Let n = -1 - -3. Let b(c) = f*u(c) + n*z(c). Calculate b(4).
-4
Let r(y) be the first derivative of y**4/4 - y**3/3 - y**2/2 + 5*y + 3. Let s(l) = -l**3 + 6*l**2 + 8*l - 7. Let v be s(7). Determine r(v).
5
Let n(f) = f**3 - 5*f**2 + 4. Let m(x) = -5*x**3 + 25*x**2 - x - 20. Let g(t) = 2*m(t) + 11*n(t). Suppose s = 2*a - 8, -3*s + 19 = 3*a - s. Determine g(a).
-6
Let x(w) = 2*w + 2. Suppose 8*n + 40 = 8. Give x(n).
-6
Let j be 0/2 - (2 + -1). Let t(s) = -s - 2. Let f be t(-3). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
t of 158958141?
1
What is the thousands digit of 1328279250?
9
What is the ten millions digit of 552488831?
5
What is the ten millions digit of 1137802333?
3
What is the tens digit of 131519283?
8
What is the hundreds digit of 44756065?
0
What is the units digit of 12164206?
6
What is the tens digit of 1470023650?
5
What is the ten thousands digit of 87515179?
1
What is the ten millions digit of 1661180474?
6
What is the tens digit of 23364683?
8
What is the millions digit of 14981829?
4
What is the thousands digit of 2057553522?
3
What is the hundreds digit of 164578838?
8
What is the tens digit of 19126878?
7
What is the billions digit of 7235443497?
7
What is the tens digit of 62834905?
0
What is the thousands digit of 70740570?
0
What is the ten millions digit of 74512974?
7
What is the hundreds digit of 146977254?
2
What is the hundred thousands digit of 5099725372?
7
What is the tens digit of 185825070?
7
What is the millions digit of 3362993168?
2
What is the thousands digit of 707463680?
3
What is the millions digit of 731264437?
1
What is the ten thousands digit of 578770463?
7
What is the units digit of 795409175?
5
What is the millions digit of 298588986?
8
What is the hundreds digit of 682630027?
0
What is the units digit of 315663249?
9
What is the hundreds digit of 48987264?
2
What is the ten millions digit of 234695781?
3
What is the hundred millions digit of 1179574366?
1
What is the units digit of 280778202?
2
What is the thousands digit of 94628596?
8
What is the thousands digit of 322130311?
0
What is the ten thousands digit of 5428015594?
1
What is the ten millions digit of 1314214350?
1
What is the units digit of 6033180535?
5
What is the tens digit of 38264097?
9
What is the hundred thousands digit of 555877757?
8
What is the units digit of 671260427?
7
What is the millions digit of 43849206?
3
What is the thousands digit of 18803648?
3
What is the ten millions digit of 13002645?
1
What is the ten thousands digit of 27622628?
2
What is the tens digit of 257053689?
8
What is the units digit of 349173730?
0
What is the hundred thousands digit of 37128918?
1
What is the hundred thousands digit of 463181133?
1
What is the thousands digit of 963808586?
8
What is the millions digit of 4565425495?
5
What is the units digit of 481619988?
8
What is the ten millions digit of 20321438?
2
What is the thousands digit of 86972199?
2
What is the ten thousands digit of 5174554657?
5
What is the hundreds digit of 87554761?
7
What is the tens digit of 6329337332?
3
What is the ten thousands digit of 629367378?
6
What is the hundred thousands digit of 2285266592?
2
What is the millions digit of 875175337?
5
What is the ten thousands digit of 76496434?
9
What is the hundreds digit of 217663949?
9
What is the hundred thousands digit of 7064871?
0
What is the thousands digit of 167905326?
5
What is the hundreds digit of 537496042?
0
What is the thousands digit of 385518782?
8
What is the millions digit of 34000264?
4
What is the ten thousands digit of 493109560?
0
What is the ten millions digit of 19396193?
1
What is the tens digit of 791219627?
2
What is the hundred thousands digit of 173844168?
8
What is the hundred millions digit of 314081531?
3
What is the hundreds digit of 39813555?
5
What is the hundred thousands digit of 50627335?
6
What is the hundreds digit of 86045330?
3
What is the ten millions digit of 22054382?
2
What is the ten millions digit of 18737664?
1
What is the hundreds digit of 1567604550?
5
What is the hundred thousands digit of 69269252?
2
What is the thousands digit of 7429917370?
7
What is the ten thousands digit of 3255426654?
2
What is the thousands digit of 241893574?
3
What is the hundred millions digit of 107200699?
1
What is the thousands digit of 9814230?
4
What is the hundreds digit of 55222630?
6
What is the thousands digit of 2553252581?
2
What is the tens digit of 151928596?
9
What is the thousands digit of 20746179?
6
What is the hundreds digit of 9877458?
4
What is the ten thousands digit of 3459733018?
3
What is the ten thousands digit of 1079760243?
6
What is the hundreds digit of 63113955?
9
What is the ten thousands digit of 14010643?
1
What is the thousands digit of 83770326?
0
What is the tens digit of 130471979?
7
What is the units digit of 51460069?
9
What is the hundred thousands digit of 6420381851?
3
What is the units digit of 57201409?
9
What is the hundred thousands digit of 396260708?
2
What is the hundreds digit of 155758361?
3
What is the units digit of 89520679?
9
What is the ten thousands digit of 16030232?
3
What is the thousands digit of 27908371?
8
What is the ten millions digit of 31541084?
3
What is the hundreds digit of 1965009098?
0
What is the units digit of 109823106?
6
What is the units digit of 177171769?
9
What is the units digit of 23336910?
0
What is the hundred thousands digit of 7721679?
7
What is the millions digit of 38815640?
8
What is the ten millions digit of 679201168?
7
What is the hundreds digit of 88793657?
6
What is the thousands digit of 1610609656?
9
What is the units digit of 2530061300?
0
What is the hundreds digit of 584329851?
8
What is the hundreds digit of 6481762670?
6
What is the ten millions digit of 11801393?
1
What is the thousands digit of 742889487?
9
What is the ten thousands digit of 1084121682?
2
What is the ten thousands digit of 3408023636?
2
What is the hundred millions digit of 119427752?
1
What is the hundred thousands digit of 824096549?
0
What is the tens digit of 71119061?
6
What is the units digit of 285320442?
2
What is the thousands digit of 61026091?
6
What is the units digit of 65112672?
2
What is the units digit of 86430672?
2
What is the hundred millions digit of 911636956?
9
What is the millions digit of 47589737?
7
What is the units digit of 338163519?
9
What is the ten millions digit of 120091121?
2
What is the hundreds digit of 73330803?
8
What is the thousands digit of 650605?
0
What is the millions digit of 223753105?
3
What is the hundreds digit of 15679631?
6
What is the hundred millions digit of 1113596962?
1
What is the units digit of 51257941?
1
What is the hundred thousands digit of 1876734112?
7
What is the units digit of 750487588?
8
What is the units digit of 907026523?
3
What is the ten millions digit of 3351018406?
5
What is the hundred thousands digit of 1962587221?
5
What is the ten millions digit of 5358190189?
5
What is the thousands digit of 3781837?
1
What is the units digit of 308841258?
8
What is the hundred thousands digit of 829147562?
1
What is the ten thousands digit of 37603202?
0
What is the units digit of 361992067?
7
What is the ten millions digit of 124110630?
2
What is the hundreds digit of 7785083053?
0
What is the units digit of 42197406?
6
What is the hundred millions digit of 306730065?
3
What is the tens digit of 141715832?
3
What is the units digit of 214502181?
1
What is the thousands digit of 48591375?
1
What is the hundreds digit of 1767404159?
1
What is the millions digit of 125044781?
5
What is the thousands digit of 12761531?
1
What is the ten thousands digit of 707337005?
3
What is the thousands digit of 67864066?
4
What is the thousands digit of 149206372?
6
What is the hundreds digit of 275704275?
2
What is the thousands digit of 511903242?
3
What is the hundred thousands digit of 49647354?
6
What is the ten thousands digit of 343430635?
3
What is the hundred thousands digit of 584966885?
9
What is the hundreds digit of 70068856?
8
What is the millions digit of 960199127?
0
What is the ten thousands digit of 198287640?
8
What is the units digit of 238382014?
4
What is the units digit of 51879927?
7
What is the hundreds digit of 43550819?
8
What is the units digit of 46610565?
5
What is the hundred millions digit of 1127461211?
1
What is the millions digit of 1155581535?
5
What is the hundred thousands digit of 536458681?
4
What is the thousands digit of 93777149?
7
What is the ten thousands digit of 690572561?
7
What is the hundred thousands digit of 4727772460?
7
What is the thousands digit of 69887486?
7
What is the hundreds digit of 40760593?
5
What is the billions digit of 3296188635?
3
What is the hundred thousands digit of 1862828900?
8
What is the units digit of 59874
|
{
"pile_set_name": "DM Mathematics"
}
|
5*l, -l + k - f*k = -3529. Is l a prime number?
False
Suppose -3*b = 4*k - 1, -6*b + b - 3*k + 9 = 0. Suppose -b*q - 4 = -5*a, q - 5*a - 8 = -26. Suppose 0 = -q*d + 6*d + 53. Is d a composite number?
False
Let d be (-48)/(-2) - (4 - (3 - -5)). Suppose -q + 21 = 4*z, -2*z + 3*q = 7*q - d. Is 5/(z + (-507)/127) composite?
True
Suppose 5*a - 105 = -2*t, -5*t - a + 230 = -44. Suppose 0 = 3*l + 8*l - t. Suppose l*o + 489 - 3274 = 0. Is o a composite number?
False
Suppose k = 5*b + 155938, 33*k + b = 38*k - 779570. Is k prime?
False
Let g(v) = v**2 - 8*v + 42. Let q be g(9). Suppose 2*d + 5 = -19. Let i = d + q. Is i prime?
False
Suppose 0 = -4*x + 16, -9454 - 9814 = -4*j - 3*x. Let q = j - 2932. Is q prime?
False
Suppose 0 = -14*x + 15*x + 2*s + 2, x - s - 10 = 0. Is (x/4)/(559635/(-62182) + 9) a prime number?
True
Is 242/(-968)*1*-182564 a prime number?
True
Let c(m) = 4*m + 1893. Let u(l) = -l**2 + l + 56. Let y be u(8). Is c(y) a composite number?
True
Suppose -2*f = 2*d - 7202, 52*f - 5*d + 3601 = 53*f. Is f composite?
True
Is -2 + (1 - -1 - -9 - -373002) prime?
False
Let j = 1114989 - 722186. Is j a prime number?
True
Suppose -3*l = -3*f - 6, 5*l - 23 - 11 = -f. Suppose 5*j = -5*n + 93525, 3*j + 4*n + 56087 = l*j. Is j prime?
True
Suppose 66626 = 9*u + 5*u. Let d = u - 1249. Suppose -4*m + 7*m - d = -3*w, -4*w + 4 = 0. Is m composite?
True
Let s = -96 - -96. Suppose 74*x - 81*x + 3941 = s. Is x a prime number?
True
Is 15 + 14913 + ((-10)/(-8))/((-19)/76) a prime number?
True
Is (-636807)/(-7) + (-790)/553 a prime number?
True
Let t(j) = j**3 + 16*j**2 + 23*j - 24. Let y be t(-14). Suppose -u - 3575 = -2*i - y, 0 = 3*u + 15. Is i a prime number?
False
Let c = 3828777 + 82144. Is c composite?
True
Suppose -6 = -4*o + 6. Suppose o*q - 1440 = -5*w, 3*w - 4*w + 288 = 4*q. Suppose 2*n + w = 2*v + 3*n, 3*n - 429 = -3*v. Is v a prime number?
False
Let q(c) = -c**3 + 14*c**2 + 15*c + 4. Let v be q(15). Suppose -3*g + v*g = 1733. Is g composite?
False
Let i = -567 + 1106. Let p = i - 122. Suppose p + 163 = 4*y. Is y composite?
True
Let d(h) = h**3 - 2*h**2 - 2*h + 1104. Let u be d(0). Let w = 2299 - u. Suppose 0 = 6*t - 11 - w. Is t composite?
True
Suppose 12*z - 17*z + 30 = 5*v, 4*z = 3*v + 3. Suppose -z*x - 9467 = -y, -x = -y + 2*y - 9459. Is y composite?
False
Let t be (1 - (-204)/8)*22. Suppose -q = -v + 67 + t, -v - q + 640 = 0. Let z = v - 286. Is z a prime number?
True
Let t = 3623 - -725. Let y = -1791 + t. Is y prime?
True
Suppose 2*y - 4*r = 0, 4*y + r = y + 21. Is (-4)/(-24)*y - -5 - -1741 composite?
False
Let h(w) be the first derivative of 2*w**3/3 + w**2/2 - 13*w - 44. Let k be h(3). Is (-24364)/(-10) - ((-43)/5 + k) a composite number?
False
Suppose -26*a - 5 = -25*a, 2*g + 5*a - 443973 = 0. Is g a prime number?
True
Let r(w) = 6433*w**3 + 6*w**2 - 4*w + 2. Let a be r(2). Let f = a + -32943. Is f a prime number?
True
Is (2/(-15))/(736/(-1380)) - (-5198193)/12 prime?
False
Is (0 - 93736/36)/(48/54 + -1) a prime number?
False
Let m(v) = -3*v + 20. Let z be m(5). Suppose -3*q = -z*k - 5*q + 14, 31 = 4*k - 5*q. Suppose k*l - 2*x - 5029 = -x, -3*x - 3 = 0. Is l a prime number?
False
Let a(j) = 2*j + 89. Let r be a(-12). Suppose -b - 6 + r = 0. Is b composite?
False
Let p = -45501 + 154658. Is p a prime number?
False
Let k(u) = -u - 4. Let b be k(-3). Let i be ((-2 - b)*-1 + 0)*3. Suppose 5*y - 5*x = 3150, -2*x + i*x + 3154 = 5*y. Is y a composite number?
False
Let h = 6003 + -6478. Let i(v) = -6*v + 6. Let l be i(6). Let t = l - h. Is t a composite number?
True
Let o = -47 - -50. Suppose 12347 = o*d + 3110. Is d composite?
False
Let f(t) = 14*t**3 + 210*t**2 + 23*t - 120. Is f(11) prime?
False
Suppose 77394971 = 268*l - 160144953. Is l a composite number?
True
Let d(l) = 480*l**2 - 3*l + 1. Let a be d(1). Suppose 3*b = a - 130. Suppose -g + 2*x + 1161 = 0, -4*g + x + 4521 = -b. Is g a prime number?
False
Let o(k) = -2*k + 41. Let y be o(16). Let z be (-234)/(-52)*4/y. Is (1112/8)/(z/6) prime?
False
Let j be (2 - 2) + (-25 - -28). Suppose -4*p + 15*g + 55800 = 11*g, j*p + 2*g - 41825 = 0. Is p composite?
True
Suppose -12*s = -72 - 96. Let f = s - 28. Is f/(-21)*(-3342)/(-4) prime?
True
Suppose 0 = -4*r, -240*z - 4*r + 69518 = -238*z. Is z composite?
False
Let g be 3 - (2/1*-1 + 0). Suppose -16 = -9*q + g*q. Suppose 1120 = 2*s - j, 0*s - 5*j = -q*s + 2246. Is s composite?
True
Let q be (-5)/4*(-67 - -7). Let x = 66 - 50. Let z = x + q. Is z composite?
True
Let q(b) be the third derivative of 1633*b**4/24 - 5*b**3/3 + 68*b**2. Is q(3) composite?
False
Let d be 4 + -5 + 24548 + -6. Let h = d - 5154. Is h a prime number?
True
Let a(i) = 827*i**2 + 212*i + 7637. Is a(-40) a prime number?
True
Let f be (-28)/(-70) - -114*(-3)/30. Let n(w) = -2*w**3 - 10*w**2 - 20*w - 41. Is n(f) composite?
True
Suppose -k + 4*l = 23, -3*l + 44 = -4*k + 17. Let m be -23*1 + k/9*-12. Let v(j) = -j**3 - 16*j**2 + 11*j + 37. Is v(m) composite?
False
Let f be 5474/10 - 4/10. Suppose 77*b - 429 = 187. Suppose -f = -b*r + 7*r. Is r a composite number?
False
Suppose 0 = 3*p + 976 + 7562. Let m = 6173 + p. Is m a composite number?
True
Is 22/(-6)*(-14485329)/417 a composite number?
True
Let w = -83344 + 344285. Is w a prime number?
True
Suppose -4*a + 0*l - 3*l = 29, 0 = 5*a - 4*l + 13. Is 1944 - (26/a + 24/120) composite?
False
Let j be 1/((-5)/(-13074)) + 1/5. Suppose -v - o + 857 = 2*o, -j = -3*v + 2*o. Suppose -3*x + 6519 = 5*p - v, 5913 = 4*p + 5*x. Is p composite?
True
Let f(a) = -10*a**3 - 3*a**2 - 4*a + 5. Let g(l) = l**3 + l**2 - 2*l + 1. Let m be g(0). Let q = -5 + m. Is f(q) a composite number?
False
Suppose 2 = -3*y + 2*d + 2*d, 2*d = -2. Let j be 28/14*(2 - y/4). Suppose j*g - 352 = 293. Is g a prime number?
False
Let b(s) = -41*s**2 - 206*s + 4. Let q(i) = -82*i**2 - 410*i + 7. Let m(y) = -5*b(y) + 2*q(y). Is m(23) a composite number?
False
Let f = -419230 + 641997. Is f a composite number?
True
Suppose -19*n - 128044 + 678079 = 26*n. Is n a composite number?
True
Let v be (5667/2)/(-8*(-6)/96). Let u = 10967 - v. Let h = -1315 + u. Is h a prime number?
False
Suppose 5*f = -4064 - 381. Suppose -4*w = -q - 2*q - 1668, -2220 = 4*q - 4*w. Let r = q - f. Is r composite?
False
Let d = -142 + 146. Suppose 3*v + 5*g = 2699, -13*v + d*g - 2695 = -16*v. Is v composite?
True
Suppose -2*k = -s - 3, k - 2*s - 6 = 3*k. Let f = 18 + -13. Suppose k = -f*t + 6*t - 869. Is t a prime number?
False
Suppose 80*c - 83*c = -5*t + 433261, -3*t = 4*c - 259945. Is t composite?
True
Let i be (-1 - 0)/((-5 + 2)/6). Suppose 0*r + 8 = 2*r, i*h - 5*r - 35086 = 0. Is h prime?
False
Suppose -2*i = -10, 4*r + r + i = 5. Suppose r = 34*a - 52200 - 33514. Is a composite?
False
Is -23 + 3614/156 + ((-159737)/(-6) - 0) prime?
False
Suppose -28 = 5*u - 7*u. Suppose -4 = u*o - 13*o. Is 2/2*o - -1887 a prime number?
False
Let o = -303855 + 437624. Is o prime?
True
Let j(g) = 17*g**2 + 4*g + 5. Let v(d) be the first derivative of d**3/3 + 15*d**2/2 - 12*d + 20. Let r be v(-16). Is j(r) a composite number?
False
Suppose -h - 5*n = 4*h + 19405, 3*h = 3*n - 11631. Let k = h - -7334. Is k prime?
False
Let l(i) = 71274*i + 4067. Is l(13) a prime number?
False
Suppose 0 = 5*l + 3*f - 2, 3*l + 7 = 5*l - 5*f. Let n(m) be the third derivative of 59*m**6/40 - m**4/24 + m**3/3 - 2*m**2. Is n(l) composite?
True
Suppose -32 = -4*q - 3*n, 0 = 2*q + 5*n - 2 - 0. Suppose q*o - 5*o - 4416 = 0. Suppose -h = -5*a + 7 + 1860, o = 2*a + 5*h. Is a a composite number?
False
Suppose 0 = 2*c + 4*a - 16, -10 = -5*a + 5. Suppose 4*x - 4 = -c*r, 2*r = r - x + 3. Suppose -2 - 76 = -r*g - 2*d, d = -3. Is g composite?
True
Let o be (30/10 + 3)*1/2. Suppose -21252 = -3*d - o*b, 0 = 3*d - b + 7214 - 28446. Is d a composite number?
False
Let s(b) = 222*b**2 + 44*b + 481. Is s(-10) prime?
False
Let s(y) = -3*y - 23. Let g be s(-5). Let l be 33/44*g/(-3). Suppose l*a = 89 + 197. Is a prime?
False
Let r be -15*((-2)/(-8))/((-10)/24). Let j = 13 - r. Suppose -j*w - 1495 = -5763. Is w composite?
True
Let v(z) = -2*z + 14. Let o be v(6). Suppose 3*f + f = 2*a - 40, -a - o*f + 32 = 0. Let t = a + -16. Is t composite?
True
Let d(b) = -247*b - 176. Let c(o) = 498*o + 353. Let r(t) = -3*c(t) - 7*d(t). Is r(28) composite?
True
Let j(p) be th
|
{
"pile_set_name": "DM Mathematics"
}
|
q = 54.8 - 54.83. Which is the closest to 2/5? (a) -2/17 (b) 1/4 (c) -1/4 (d) q
b
Let t = 3.16 + -2.86. Which is the closest to 4? (a) t (b) 0 (c) -5 (d) 1
d
Let f be ((-4)/(-4) + -1)*-1. Let x = 1.7 + -1.3. Which is the nearest to f? (a) x (b) -5 (c) 4
a
Let v = -21.04 + 17.04. What is the nearest to -0.1 in 3/4, 5/4, v?
3/4
Let p = -8.2 + 7. Let d = p - -3.4. Let f = d - 2. Which is the nearest to f? (a) -2 (b) 0.1 (c) -4
b
Let f = 0.02 - -0.18. Let q = 0.04 - -0.26. Let t = -26 - -25.9. What is the nearest to t in q, 2, f?
f
Let s = 56 + -54. What is the nearest to -3/10 in -5, -4/7, s, -2/13?
-2/13
Let h(f) = 3*f**2 - 17*f + 9. Let t be h(5). Let b = -7 + 5.2. Let m = -0.8 - b. What is the closest to t in m, 4/3, -0.3?
-0.3
Let r = -11.5 - -11. Let o = 11.7 - 9.7. Which is the nearest to -0.2? (a) 0.2 (b) o (c) r
c
Let m = -0.2228 - -0.3628. Which is the closest to m? (a) -5 (b) -1 (c) 2 (d) 1/2
d
Let f = -64.5 + 61.5. What is the closest to f in 2, -3/5, -1/4, 4?
-3/5
Let q = 0.137 - 25.137. Let t = q + 25. Which is the nearest to t? (a) -2 (b) -0.2 (c) -2/5
b
Let h = 31.08 - 31. Let q = -3.28 + h. Let n = q + 0.2. What is the closest to n in 1, -5, -0.4?
-5
Let x = -611 + 605. What is the nearest to x in 3, 5, 2, -1/3?
-1/3
Let l be 1/(-4) - (-105)/196. Let h = -20 + 18. What is the nearest to l in h, 2/3, 0?
0
Let l = -0.2 - 1.3. Let v = -1.49 - l. Let m = v + -0.21. What is the nearest to m in 5, 0.5, -1?
0.5
Let u = 0.9 - -2.7. Let y = u - 0.6. Which is the closest to 2? (a) -4 (b) 0.3 (c) y
c
Let w = 120 - 119.38. Let f = 0.72 - w. Which is the closest to f? (a) -1/5 (b) -1/3 (c) -9/4
a
Let z = 2 + -1.9. Suppose -24*g - 48 = -36*g. Which is the closest to -2? (a) g (b) z (c) -3
c
Let d = -6 + 14. Let o be (64/d)/(-2 + 4). Suppose 0 = o*j - 9*j + 5. Which is the nearest to j? (a) -1/2 (b) -2/5 (c) -5
b
Let p = -246 - -270. Which is the closest to 0? (a) p (b) -1 (c) 2
b
Let x = 210 - 209.7. Which is the nearest to 2/5? (a) 73 (b) -2/7 (c) x (d) 1
c
Let p = -1.1 - -2.1. Let z = -0.3 + 0.4. Which is the nearest to z? (a) 4 (b) 5 (c) p
c
Let n = -1 - -2. Suppose 4*w - 3 = n. Let j = 293 + -1177/4. Which is the closest to 0.1? (a) j (b) -2 (c) w
c
Let m = 97 - 97.162. Let j = m + -2.838. What is the closest to -0.1 in j, 3/8, -0.3?
-0.3
Let h be (-14)/8*(-10)/(-7). Let n = -3 + 1. Which is the closest to 3/2? (a) -0.3 (b) n (c) h
a
Let z = -4 - -3. Let f = -1/34 - 31/102. Let k = -0.096 + 0.296. What is the closest to f in 0, z, k?
0
Suppose 0 = -124*p + 125*p + 3. Let i = 0 - 0.1. Which is the closest to p? (a) -1/3 (b) i (c) -0.3
a
Let i be 1 + (-2)/(40/12). Let g = i - -4/15. Let m = -6.7 + 7. Which is the nearest to -0.1? (a) g (b) m (c) -0.3
c
Let z = -59 - -57. Let q = z + 2.1. Which is the nearest to 2/5? (a) 2/9 (b) q (c) 0.3
c
Let w be (-2)/5*10 - 0. Let s = -10/3473 - -373671/715438. Let a = s - 2/103. What is the closest to a in 3, w, 1?
1
Let j be 2 + (-2)/((-2)/3). Let d = 12.41 + -12.61. Which is the closest to d? (a) 0.5 (b) j (c) -2/3
c
Let b be (-16)/(-6)*(-3)/6. Suppose 4*c - 38 = -18. Suppose -9*x - c = -14*x. What is the closest to x in b, 6, -2?
b
Let s = -4 - -1. Let b = 10 + s. What is the nearest to -1 in b, 1, -2/11?
-2/11
Let y(g) = -14*g + 57. Let x be y(4). Which is the nearest to 3/2? (a) -3 (b) -1/8 (c) -4 (d) x
d
Let i = -57 - -57. Let m = 4.6 + -5. What is the closest to i in m, 0.2, -4?
0.2
Let t be -5 - -5 - (-57 - -3). Let o = -57 + t. Let n = 43/2 + -21. What is the nearest to n in 1/4, o, 3/2?
1/4
Let b be (-3)/(-15) - (-12)/40. What is the nearest to 0.03 in b, 0, 0.4?
0
Let n = 11 + -10.7. Let i = 0.2 - 0.212. Let t = -0.088 + i. What is the nearest to t in n, 2, -0.2?
-0.2
Let q be ((-13)/(-26))/(45/10 + -4). Suppose 4*l + 32 = 3*o + o, -3 = l. Which is the closest to o? (a) q (b) -0.1 (c) 3/4
a
Let k = 168 + -170. Which is the closest to -1? (a) k (b) -3/14 (c) 3/2
b
Let r = -0.6 - -0.6. Let h be ((-35)/10)/(-1)*12. Let j be (1/9)/(7/h). Which is the nearest to r? (a) -0.8 (b) j (c) -0.1
c
Let n = -6397.4 + 6397. Suppose 0 = 2*w - 4 - 0. Which is the nearest to -7? (a) n (b) -2/21 (c) w
a
Let u = 1/4 + -17/36. Let w = 0.4 - 1.4. Let g = w + 0.8. Which is the nearest to u? (a) -1 (b) 1/2 (c) g
c
Let v be 1 + -7 + 5 + (-1 - -192). Which is the nearest to 1/3? (a) 4 (b) v (c) -5
a
Let u be (-42)/(-9) + 1 + -5. Let j = -41 + 41.5. Which is the nearest to -0.2? (a) u (b) j (c) 2/5
c
Let i = -8.14 + 8. Let o = 299.86 + -296. Let g = o - i. Which is the nearest to -0.1? (a) -5 (b) 0 (c) g
b
Let b be (1/(-7))/((-2)/(-4)). Let g be ((-1)/18)/(-1 - (-12 + (-248)/(-24))). What is the nearest to b in -0.9, g, 3/5?
g
Let q = 26 + -29. Let i be -2 + (-1 - -6) + q + -2. Suppose 0 = -2*v, -3*l + 8 = 5*v + 2. Which is the closest to i? (a) -3 (b) -5 (c) l
a
Let f = -6 - -6.3. Let j = 293 + -292. Let l(g) = g + 5. Let u be l(-6). Which is the closest to j? (a) 1 (b) u (c) f
a
Suppose 0 = -4*j - p + 28483, 0 = -j + 5*p - 3*p + 7114. Let s = 49681/7 - j. Let u = -23 - s. Which is the nearest to u? (a) 0 (b) -0.1 (c) 1/3
b
Let y = 56 - 56.33. Let h = y - -3.23. Let r = h - 3. Which is the nearest to r? (a) -2/13 (b) 5 (c) 3
a
Let h = -2 - -2. Let m = -3.06 - -3. Let y = 2.06 + m. Which is the nearest to 0.2? (a) y (b) -2 (c) h
c
Let w = -1112 - -1110. Which is the closest to 1/3? (a) w (b) 1 (c) 19
b
Let d = -0.0985 - 0.0015. Which is the nearest to d? (a) -3 (b) -1 (c) -2
b
Let y = -527/1820 - -1/260. Let z = 1012 + -1037. What is the nearest to z in -5, -2/13, y?
-5
Let j = -3 - -2. Let h = 2 + -7/3. Which is the nearest to j? (a) -5 (b) 1/4 (c) h
c
Let h = 1 - 0.1. Let y = 2.1 + h. What is the nearest to -2 in -5, 0.2, y?
0.2
Let c = 9 - 5. Let t(m) = -m + m - c + 2*m. Let v be t(3). What is the closest to -2/3 in v, 2/7, 0?
0
Let w be (9*10/120)/((-3)/1). Let x = 6.6 + -6. Which is the closest to w? (a) -4 (b) x (c) -1
c
Let n = 0.226 + -0.113. Let k = n + -0.413. What is the closest to -2/15 in k, 1/3, -1/4?
-1/4
Let q = -284/5425 - 6/217. What is the nearest to 0 in q, 4, -9?
q
Let v = -0.0183 - -0.2183. Suppose 2*a - a + 7 = 4*d, a = -3*d + 7. Let x = 6 - 7. What is the closest to a in x, v, -4?
v
Let q = 127 - 128. Let j = -0.7 + 0.7. Which is the closest to q? (a) 2/5 (b) -5 (c) j
c
Let w be ((-2)/(-2))/((-5)/25). Let z be w*(0 + 10/(-75)). Which is the closest to z? (a) -2 (b) -3 (c) 0
c
Let x = 0.1 + -0.6. Let h = -976 + 977. Let g = -7 + 3. Which is the closest to h? (a) g (b) -1 (c) x
c
Let j = -1 + -4. Let g = 0.16 - -0.18. Let v = g + 0.66. Which is the nearest to 1? (a) j (b) v (c) 0.4
b
Let l = -0.8 - 0.2. Let w = 634 - 5704/9. Let g = 0.8 + 2.2. What is the closest to l in 0, w, g?
0
Let g = -130 + 46. Let o = -86 - g. Which is the nearest to o? (a) 0 (b) 1 (c) 2/3
a
Let m be (10/15)/(8/126). Let d = m + -10. Let f(o) = -o - 7. Let j be f(-6). What is the closest to 1 in 4, d, j?
d
Let i = -76 + 72. Let j = -7.09 - -0.09. Let k = -4 - j. Which is the nearest to 1? (a) k (b) i (c) -5
a
Let x = -20 + 8. Let y be (-3)/((x/(-376))/(-1)). Let j = y + -278/3. Which is the nearest to -2? (a) -1 (b) j (c) 4
a
Let g = -4657/14 - -333. Let s = 1049/105 - 103/10. Let q = g - s. What is the nearest to 2/5 in 2/11, q, -3?
2/11
Let f = -133.52 + 131. Let z = -0.52 - f. Let l = -0.5 + 0.4. Which is the nearest to l? (a) z (b) 2/17 (c) -2
b
Suppose 0 = 3*v + 147 - 126. What is the nearest to 0.1 in -1/7, -1/3, -5, v?
-1/7
Let x = -57 - -57. Let u = -124.1 + 124. Which is the closest to u? (a) -1/2 (b) x (c) 4/3
b
Suppose -2*l + 18 = 4*o, -1 = -5*l + 14. Suppose -o*f - 12 = 0, 2*f = -2*g + 4*f + 12. Which is the nearest to 1? (a) -2/17 (b) g (c) -1
b
Let g = 1281.7 + -1282. What is the closest to -0.1 in g, -5, -19?
g
Suppose -1 = -2*r + 5*w, 2*r + 3*w = -3*r - 13. What is the nearest to 0.1 in -3, r, 22?
r
Let g(m) = -3*m - 4. Let t be g(-3). Let d = -4023 - -36206/9. Which is the closest to 2? (a) t (b) -1/3 (c) d
c
Let a be (240/56)/((-6)/(-28)). Let l be (a/(-12))/(24/(-18)). What is the nearest to 0 in 2/9, l, 3?
2/9
Suppose -120*v = -125*v + 5. Let u = -0.0
|
{
"pile_set_name": "DM Mathematics"
}
|
= -3643*g**2 - g - 8. Let h(p) = p. Let q be h(4). Suppose 4*o - 1 = c + 2*c, -q*c = 3*o - 32. Let r be n(o). What is r rounded to the nearest 10000?
-60000
Let a = -26.5072483 - -179.5072496. Let o = -153 + a. Round o to 5 dps.
0
Let d = 56.2 + -64. Let l = d + 7.79999135. Round l to seven decimal places.
-0.0000087
Let y = -289.9946 - 0.0054. Let x = -200 - y. Let j = 90.00000069 - x. Round j to 6 dps.
0.000001
Let h(m) = -53892*m + 20. Let q(a) = -53892*a + 18. Let s(k) = -5*h(k) + 6*q(k). Let r be s(-1). Round r to the nearest ten thousand.
50000
Let z = -7867.9998204 + 7868. What is z rounded to six decimal places?
0.00018
Let y = -2.6 - -122.6. Let n = y - 58. Let v = n - 62.0000031. What is v rounded to six dps?
-0.000003
Let k = -13938936 - -13939134.67262. Let r = -0.76162 + k. Let u = 198 - r. Round u to 2 dps.
0.09
Let w = 7977.6 + -8013.627. Let l = -36 - w. Let j = l + 0.134. Round j to two decimal places.
0.16
Let o(f) = 2508*f**2 + 20*f + 48. Let k be o(18). What is k rounded to the nearest one hundred thousand?
800000
Let c = 1.3952 - -1667.3048. Let t = 1476 - c. Round t to the nearest ten.
-190
Let q = -181 - -180.815. Let o = q + 0.432. Round o to one decimal place.
0.2
Let l(i) = 1155*i**3 - 6*i**2 - 3*i**2 + 54*i - 4 - 71*i. Let x be l(-4). Round x to the nearest 10000.
-70000
Let j = -14.79994271 + 14.8. Round j to six decimal places.
0.000057
Let t(q) be the third derivative of 3035*q**4/8 - 25*q**3/3 + 161*q**2. Let l be t(10). Round l to the nearest 10000.
90000
Let v = 108.68 - 108.710355. Round v to 4 decimal places.
-0.0304
Let i = -3242412360644245 + 3242412264136382.48999731. Let t = -96507867 - i. Let j = t - -4.49. Round j to six dps.
0.000003
Let y be 20529625/(-34)*(7/21 - 154/30). Round y to the nearest 10000.
2900000
Let z = -71 - 24. Let r = z - -163. Let f = r + -68.000001. Round f to 7 decimal places.
-0.000001
Let m = -103.9 + 88.24. Let r = m - -1.56. Let y = -14.0999927 - r. Round y to 6 decimal places.
0.000007
Let x = 81 + -217. Let t = -135.71804 - 0.29856. Let r = x - t. Round r to 3 decimal places.
0.017
Let z = -100576 + 100575.99916873. What is z rounded to four dps?
-0.0008
Let l = -231.813 + 230.6. Let o = -0.121 - l. Let n = o + -1.09659. What is n rounded to 4 decimal places?
-0.0046
Let d = -3.96 - 216.04. Let c = -498843.72620364 + 499063.7262. Let m = d + c. Round m to seven decimal places.
-0.0000036
Suppose -4*i = -2*q + 23122 - 87780, -q + 4*i - 32335 = 0. Let f = q - -59583. Round f to the nearest one thousand.
27000
Let n = 35.5 - -79.8. Let y = 6.7 + n. Let p = 121.999653 - y. Round p to 5 decimal places.
-0.00035
Let y = 135.141 - 6486.241. What is y rounded to the nearest 100?
-6400
Let v = 63 + -59. Suppose -5*b + 30 = -0*b + 5*k, -2*b = -v*k - 36. Let d be (65/b)/((-2)/(-4)) - 3. What is d rounded to the nearest 100?
0
Suppose -152945 = -0*q - 3*q + 4*i, i = -4*q + 203914. Suppose -3*n = 254121 + q. Round n to the nearest ten thousand.
-100000
Let x(b) = -145871*b**2 - 23*b - 16. Let f(a) = -291741*a**2 - 47*a - 32. Let o(s) = -6*f(s) + 11*x(s). Let y be o(11). Round y to the nearest 1000000.
18000000
Let n = 149.5 + -10.5. Let m = n + -139.00004925. What is m rounded to five dps?
-0.00005
Let p = 47 - 53.3. Let m = 36.3 + p. Let r = -29.9994 + m. Round r to four dps.
0.0006
Let r = 35.63131152 - 35.631. What is r rounded to 6 decimal places?
0.000312
Let w = 3244.136 + -3312. Round w to the nearest 10.
-70
Let h = -12568.999276 - -12569. What is h rounded to 4 dps?
0.0007
Let b(s) = 56565*s**2 - 30*s + 80. Let c be b(4). What is c rounded to the nearest 10000?
910000
Let i = 40.625 - 216.606. Let r = i - -176. What is r rounded to 3 dps?
0.019
Let b = -452 - -300. Let p = 151.99999993 + b. What is p rounded to six dps?
0
Let c = 6748.312 - 6772. What is c rounded to 0 decimal places?
-24
Let k = 1.993 - 423.293. What is k rounded to the nearest ten?
-420
Let n = -0.6352276 - -0.6361. What is n rounded to five decimal places?
0.00087
Let y = -8901.68 - -9556. Round y to the nearest one hundred.
700
Let r = -848.913717 - -1077.91358. Let a = -281 - -510. Let b = a - r. Round b to 5 decimal places.
0.00014
Suppose 5*k = j - 84774312 + 378774290, -235199990 = -4*k - 3*j. Let q be (-28)/(-21) + k/3. Round q to the nearest one million.
20000000
Let v = -52452 - -52451.9999972167. What is v rounded to 6 decimal places?
-0.000003
Let a = 75292.228000901 - 75292.364. Let h = a + 0.136. What is h rounded to seven decimal places?
0.0000009
Let i(r) = 11805*r - 162. Let x be i(30). Suppose -4*k - x = -3*w, 0 = 3*k - w - 0*w + 265496. What is k rounded to the nearest 1000?
-89000
Let n be (9/((-18)/20))/(-2). Suppose -s + 6*s - 2*m + 29549994 = 0, -n*s - 3*m = 29550009. Round s to the nearest 100000.
-5900000
Let c = 525.96 + -549.5. Let s = 37 - 60. Let u = c - s. What is u rounded to 1 dp?
-0.5
Let f = -1212 + 1217. Let w(a) = -a**2 - 4*a + 7. Let o be w(-5). Suppose -2*c + 5*i = -60015, o*i = -1 - f. Round c to the nearest ten thousand.
30000
Let y = -348 - -349. Let h be ((-4848)/30)/(y/(-100000)). What is h rounded to the nearest 1000000?
16000000
Let o = -0.0083 + -56.5917. Let w = o + -2.4. Let j = w + 58.99956. What is j rounded to 4 dps?
-0.0004
Let i = 5031088357.667613 - 5031078712. Let r = -9377.66761518 + i. Let w = 268 - r. What is w rounded to 6 decimal places?
0.000002
Suppose -3*z - 2*r = -6*r - 2, -12 = 3*z + 3*r. Let j(w) = 104488*w - 24. Let a be j(z). What is a rounded to the nearest 10000?
-210000
Let c = 617785 + -617713.9981. Let t = 2916 + -2845. Let v = c - t. Round v to 3 decimal places.
0.002
Let p be (6/4)/((-133)/(-8557220)). What is p rounded to the nearest one thousand?
97000
Let v be 99468/5 - (-36)/90. Round v to the nearest one hundred.
19900
Let m = 167597128 + -167597116.9999921. Let y = 12.94 - 1.94. Let p = y - m. Round p to six dps.
-0.000008
Let q = -45.6 + 45.5366. Let k = q + 0.0632. Round k to 4 decimal places.
-0.0002
Let g = -10160 - -10162.1854. What is g rounded to two decimal places?
2.19
Let q = -127.7616 - -128. Let m = -0.0184 + q. What is m rounded to 2 dps?
0.22
Let j = -600 + 602.425. Let q = j + -3.4. Round q to two dps.
-0.98
Let z = 15890509 - 15890542.5998475. Let r = z + 33.6. What is r rounded to five decimal places?
0.00015
Let d = -15.3999970239 + 15.4. What is d rounded to 7 dps?
0.000003
Let p = -0.002 + 34.002. Let q = p - -34. Let x = q - 67.9994. Round x to 4 decimal places.
0.0006
Let a = 1463.58 - -168.12. What is a rounded to the nearest one hundred?
1600
Let h = -31.7158 + -7.353. Let n = h - -39. Let d = 0.06379 + n. What is d rounded to three dps?
-0.005
Let k = 126 - 126.009. Let h = k + 0.0089994. Round h to 6 dps.
-0.000001
Let g = 1592.83 + -1697. Let k = 0.17 + g. Let s = 103.99999858 + k. Round s to 7 dps.
-0.0000014
Let r = 79641 + -45241. Suppose -10*m + 6*m = r. What is m rounded to the nearest 1000?
-9000
Suppose -14*t = 9*t - 2634742. Suppose -t - 112526 = -14*d. Round d to the nearest 100.
16200
Let g = -0.10575318 + 0.10571. Round g to six decimal places.
-0.000043
Suppose -49 + 13 = -9*s. Suppose -2*t + 1 + 5 = o, -s*o - 9 = -3*t. Suppose -3 = -t*y, 8549998 = -5*d - 4*y + 2*y. What is d rounded to the nearest 100000?
-1700000
Let k be 6160*3*2/15. Suppose 0 = -7*b + 6*b + 4*l + 19, 0 = l + 4. Suppose -u - 1470 = -3*q, -2*q - 3*u + k = b*q. What is q rounded to the nearest ten?
490
Let g = 10423860156 + -10423860086.00000119. Let a = -4.5 + -65.5. Let j = g + a. What is j rounded to seven decimal places?
-0.0000012
Let d(l) = -2*l**2 + 9*l - 4. Let k be 56/12 - (-2)/(-3). Let n be d(k). Let f be (-180 - n)/((-39)/6500). What is f rounded to the nearest ten thousand?
30000
Suppose -4715*y = -4707*y - 458080. What is y rounded to the nearest ten thousand?
60000
Let w = -813 - 106. Let m = -918.99999561 - w. Round m to six decimal places.
0.000004
Let u(s) = -8*s - 9. Let y = -40 + 35. Let b be u(y). Suppose b + 92 = -t. Round t to the nearest 10.
-120
Let w = -3807.87 - -3808. Let l = 33.09 + -28.7. Let i = w + l. What is i rounded to the nearest integer?
5
Let u be ((-33)/12 - -4) + (-1125)/20. Let k = u + 431. Round k to the nearest 100.
400
Let g = -9 - -8.35. Let n = -0.586 - g. Let d = n - 0.0640
|
{
"pile_set_name": "DM Mathematics"
}
|
ultiple of 10?
True
Let u(a) be the second derivative of 16*a**3/3 - a**2 + 5*a. Is 6 a factor of u(1)?
True
Is 59504/208 + (-1)/13 a multiple of 8?
False
Suppose 0*s = -5*s + 15. Suppose s*k + 84 = -0*k. Let c = -12 - k. Is 6 a factor of c?
False
Suppose 4*a - 4*t = 444, -t + 557 = 5*a + 8. Is a a multiple of 51?
False
Let w be (1/((-15)/6))/(2/(-30)). Let v be (40/6)/((-2)/(-21)). Suppose -w*x + v = x. Is 5 a factor of x?
True
Let k = 3 - 0. Suppose -2*j - j = 2*c - 66, -j - k*c = -29. Does 8 divide j?
False
Suppose 0 = -u + 157 - 19. Suppose u = d + 117. Does 21 divide d?
True
Is 8 a factor of (-2244)/(-10) - (6/5)/3?
True
Is 10 a factor of 3/(-2)*40/(-10)*210?
True
Suppose -c + 0*c - 8 = 0. Suppose 18*w - 22*w + 88 = 0. Is w + (-2)/c*0 a multiple of 11?
True
Let f(x) = -x - 3. Let h be f(-7). Suppose 0 = 8*i - h*i - 12. Suppose -a + 20 = i*a. Is a a multiple of 5?
True
Suppose -26 = 3*u - 233. Suppose 0*x = 2*x + 2*p - 126, x = 2*p + u. Is 12 a factor of x?
False
Let o(v) = 4 + v**2 + 0 - 3 - 6*v. Let c be o(-6). Suppose 5*n - 45 = 3*w, -8*w + c = 4*n - 3*w. Does 6 divide n?
True
Suppose 5*j = -2*a + 39 + 1, 16 = 2*j - 5*a. Let g(i) = 5 - i + 12*i**3 - j + 3 + 2*i**2. Is g(1) a multiple of 6?
False
Suppose 5*z - 3*z + 94 = 0. Let m = z + 114. Is 47 a factor of m?
False
Let c = -326 + 886. Is c a multiple of 40?
True
Suppose -p = -0*p - 1679. Does 73 divide p?
True
Suppose -20*a + 21*a - 272 = 0. Suppose 2*n = g - a, -g + n + 22 = -247. Is g a multiple of 14?
True
Suppose 2*l - 5*a + 16 = -l, 0 = -3*a - 12. Let t = l - -52. Does 20 divide t?
True
Suppose 2*s = 2*d + 2*d, s = d. Suppose -3*h = -3*v - 198, s = 3*v + 3 - 0. Does 13 divide h?
True
Let z(p) = -p - 2. Let t be 1/((-15)/(-9) + -2). Let s be z(t). Let d(m) = 25*m**3 - 2*m + 1. Does 13 divide d(s)?
False
Suppose -5*w + 4*v + 35 - 4 = 0, -3*v = 12. Suppose 5*n - l + 103 = 3*l, -3*n + w*l - 60 = 0. Is 8/(3 - -1) - n a multiple of 21?
False
Let u be ((-4)/14)/((-1)/14). Suppose -2*v = -u*v. Suppose i - 3*i + 28 = v. Does 7 divide i?
True
Let w(u) = u**3 - 6*u**2 + 3*u - 6. Suppose 25 = -5*s, 0 = -0*d + 5*d - 3*s - 45. Does 2 divide w(d)?
True
Suppose -4*v + 1136 = 4*s, -9*s + 5*v + 260 = -8*s. Does 28 divide s?
True
Let p = 108 - 104. Does 12 divide ((-30)/p)/((-3)/28)?
False
Let l(q) = q + 1. Let g be l(-8). Let s = -4 - g. Suppose d = -s*d + 80. Is d a multiple of 7?
False
Let p(t) be the third derivative of t**7/2520 + t**6/720 - t**5/30 - 5*t**4/24 - t**2. Let l(n) be the second derivative of p(n). Does 27 divide l(6)?
False
Suppose 55 = 4*u + 3*o - 232, -69 = -u + 2*o. Suppose -u*n - 111 = -74*n. Is n a multiple of 6?
False
Suppose 2*h = -i - 21, -2*i + 5*i + 3*h + 72 = 0. Let f be 40/(-24)*(i + 0). Suppose -f = -16*d + 11*d. Is d a multiple of 6?
False
Suppose 4*x + 16 = 44. Let s = 38 - x. Is s a multiple of 26?
False
Let m(i) = i**3 - 16*i**2 + 8. Suppose -5*y - 3 = -23. Suppose 43 = -y*b + 107. Is 8 a factor of m(b)?
True
Suppose -4*u = 12 + 8. Is 13 a factor of u/20 - (1263/(-12) - -1)?
True
Let s = 7 - 16. Let k = 100 - 61. Let h = s + k. Is 8 a factor of h?
False
Suppose -2*m + 75 = -167. Suppose -5*p - m = -4*z + 33, 32 = z + 2*p. Is 22 a factor of z?
False
Suppose 5*f + 19 = 4. Let a = f - -7. Suppose 5*j - 146 = 3*w + 128, a*j + 4*w - 232 = 0. Is 14 a factor of j?
True
Suppose 3*z = 680 + 6712. Is z a multiple of 16?
True
Let q = -170 + 1913. Is 7 a factor of q?
True
Let b(o) = o**2 - 2 + 72*o - 67*o + o**2. Is b(-6) a multiple of 20?
True
Suppose 5*w = -4*s + 11323, 0*w + 9048 = 4*w - 2*s. Is w a multiple of 8?
False
Is 9 a factor of 1 + -1 - -2*(-9)/(-2)?
True
Let p(d) = 15*d - 8. Let k be p(2). Is -5 + (2 + 0)*k a multiple of 6?
False
Let f(j) = j**3 + 5*j**2 - 3*j + 4. Suppose 0 = u + 3*u + 12, 2*u = -2*o - 16. Let v be f(o). Let z = v + 5. Is 8 a factor of z?
True
Suppose 0 = 4*w - f - 260, -4*w + 322 = w - 2*f. Suppose -4*o - 18 = -4*u + 42, -2*o = 4*u - w. Let z = u - 10. Is 6 a factor of z?
True
Suppose 0 = 3*l + 2*l + 10. Let c be (l/(-5))/(7/735). Suppose 5 = o, -3*q + c + 33 = -3*o. Is 10 a factor of q?
True
Suppose j - 2*d = 3*j + 6, -4*j - 2 = 2*d. Suppose 0*r + 5*r = 4*s + 75, -5*r - j*s + 75 = 0. Is r a multiple of 5?
True
Let k(x) = x + 0*x**3 + 5*x**3 - 2*x**3 - 2*x**2 - 4*x**3 - 1. Let m be k(-3). Suppose 0 = 2*f - 0*a - 3*a - 24, -m*a = 4*f - 4. Does 3 divide f?
True
Suppose -5*c = 3*h - 205, 41 = c - 3*h + h. Is (c - 2) + 20/(-4) + 2 a multiple of 19?
False
Suppose 13*q + 488 - 2789 = 0. Suppose -j - 3*d + q = 0, -2*j - 105 = -d - 459. Is 20 a factor of j?
False
Let a(w) = w**3 + 25*w**2 + 4*w - 150. Is 51 a factor of a(-23)?
True
Suppose 0*n + 5*w = 3*n + 50, -6 = 3*w. Let o be (-24)/n*40/12. Suppose 165 = o*u + 5*l, 4*u - 5*l + 25 = 180. Is 8 a factor of u?
True
Suppose -29*s + 69*s - 29280 = 0. Is 13 a factor of s?
False
Let k(s) = -11*s**3 + 8 - 3 + 9 + 8*s**2 + 12*s**3 - 3*s. Is k(-6) a multiple of 12?
False
Suppose -2*b - 22 = -3*k, -5*k + 2*k = 4*b + 8. Suppose -109 = -3*l - 4*u, -1 = -5*u + k. Let v = l + -17. Is v a multiple of 12?
False
Suppose f + 5*f - 2046 = 0. Suppose k - 218 = -2*m, f = 3*m + k + 4*k. Let c = -47 + m. Is c a multiple of 30?
True
Let n(o) = -29*o - 33. Is n(-7) a multiple of 30?
False
Suppose 40*o = 44*o - 28. Suppose 0 = o*s + 3*s - 260. Is 13 a factor of s?
True
Is 5 a factor of (-1 + 0 - 2)*(-87)/9?
False
Suppose -16 = 2*s - 6*s. Suppose -108 = -2*n - s. Does 19 divide n?
False
Let z(h) = 2*h**3 - 4*h**3 + h**2 - h - 1 - 4*h**3. Let b be z(-1). Suppose 2*l - b*l = -270. Is 14 a factor of l?
False
Let t(l) = -l**3 + 9*l**2 - 8*l + 3. Let n be t(8). Suppose 4*y = -n*w + 146, 3*y - 2*y = 4*w - 201. Let r = w + -35. Is 11 a factor of r?
False
Let h(v) = 6*v + 3. Let c(l) = -l - 4. Let x be c(-6). Suppose g = 5*g + x*w - 44, 28 = 3*g - w. Is 21 a factor of h(g)?
True
Let g(w) = -7*w**3 + 2*w**2 - 5. Is g(-2) a multiple of 13?
False
Let f(h) = 2*h**3 - 2*h**2 + 4*h + 4. Suppose 86*i = 85*i + 4. Is 11 a factor of f(i)?
False
Let x(k) = k**2 + 11*k - 83. Is 37 a factor of x(-24)?
False
Let o = 90 + -59. Suppose -2*a - o = -3*a. Suppose 0 = 4*g - 167 + a. Is 8 a factor of g?
False
Let g = 7 + 4. Let o = g - -10. Suppose -5*f + o = -4*f. Does 6 divide f?
False
Let o(y) = y**2 + 10*y + 16. Let m be o(-8). Let c(z) = z + z**2 + m*z + 10 - 3*z. Is 15 a factor of c(7)?
True
Suppose 4*x - 9 = 15. Suppose 2*j + 13 = -a + j, 5*a = 2*j - 44. Does 20 divide x/(-2) + (-750)/a?
False
Let m be -1 - (26 - (-1 + 1)). Let j be 3 - m/(4 - 1). Let p = -3 + j. Is 9 a factor of p?
True
Let y = 2118 + -838. Is y a multiple of 20?
True
Is (2/(-4))/(15/(-106560)) a multiple of 111?
True
Let w(g) = g**3 - 4*g**2 - 7*g + 6. Let c be w(5). Let k = -22 - c. Is 26/(-4)*k/3 a multiple of 29?
False
Let v be (-25)/(-6) - (-4)/(-24). Let a(w) = 2*w**2 - 4*w + 2. Let b be a(v). Is 26 a factor of 244/6 - b/27?
False
Let b(a) = 0*a + 29 - 20 - a. Let h be b(4). Suppose 4*r - 128 = -k, k = -h*r + 188 - 27. Is r a multiple of 19?
False
Let l be 2/(-4)*(1 - 13). Suppose -5*t - 5*p + 115 = 0, p - 101 = -4*t + l. Suppose -5*g - 40 = -5*s + 4*s, -s = g - t. Does 15 divide s?
True
Suppose -3*s - 4*o + 16008 = 0, -2*s - 3346 = o - 14023. Is 41 a factor of s?
False
Suppose 5*a - x - 140 = -0*x, -120 = -5*a - 3*x. Suppose -k - a = -163. Is k a multiple of 22?
False
Let r(w) = w + 8. Let j be r(-4). Suppose 5*o - 2 = -0*z - 3*z, -2*z + j*o = -16. Suppose -z*t = -35 - 37. Does 18 divide t?
True
Suppose 3*l - 9 = -3*p, 7*l - 5*l = 0. Suppose -3*t = -0*t - 4*r - 168, -5*r - 171 = -p*t. Does 14 divide t?
False
Let t be 16/(-8) + 3*2. Suppose 4*m + y = 201, -60 - 94 = -3*m - t*y. Is m a multiple of 25?
True
Suppose -3*q = -5*y + 98, -y + 22 = 3*q + 6. Does 16 divide 1/3*(y - -29)?
True
Let l = -579 + 746. Is l a multiple of 3?
False
Let p(o) = -43*o**2 - 4*o - 3. Let n be p(-2). Let m = 250 + n. Does 14 divide m?
False
Let h(y) = -y**3 - 7*y**2 - 5*y - 22. Let t = -5 - 2. Does 13 divide h(t)?
True
Let v be (-8)/12 + (-4)/((-36)/303). Let x = 19 + v. Is 35 a factor of x?
False
Let z(c) = c**3 + 6*c**2 + 2*c + 5. Let g be z(-6). Let f = -5 - g. Is (7 + -39)*(-1)/f a multiple of 16?
True
Suppose -5*g = a + 12, 4*g - 2*g + 2*a = 0. Let n be 4/g + 200/24. Suppose n*m = 2*m + 9
|
{
"pile_set_name": "DM Mathematics"
}
|
2*o = r - 9. Calculate o*g(j) + 221*f(j).
-34*j**2
Let f(s) = -40 - 35 + s**2 + s + 149 - 35 - 40. Let y(g) be the second derivative of g**2 - 1/12*g**4 + 2*g - 1/20*g**5 + 0 - 1/2*g**3. Give f(c) + y(c).
-c**3 - 2*c + 1
Let o(j) = 16*j - 7. Let v(y) = 6*y - 11*y - 18*y + 52*y - 5*y - 10. Give 7*o(b) - 5*v(b).
-8*b + 1
Let q be 14 - (-12 - -15 - -9). Let n(f) = -3*f - 3. Let g(x) = -2*x + 2 - x**2 + 3*x + 1 - 2. What is q*g(p) + n(p)?
-2*p**2 - p - 1
Let h(x) = -x. Let t = -253 - -265. Let k(c) = -2*c + 15. Let g be k(t). Let s(v) = 5*v. What is g*h(d) - 2*s(d)?
-d
Let t = 48 - 73. Let r(u) = -35*u. Let f(z) be the second derivative of z**3/2 - 3*z + 299. Determine t*f(i) - 2*r(i).
-5*i
Let f(m) = -14*m**3 - 6*m**2 - 6*m + 6. Let j = -396 - -399. Let i(p) = -14*p**2 + 23*p**2 - p**3 - j*p + 2*p + 1 - 10*p**2. Determine f(z) - 6*i(z).
-8*z**3
Let l(b) be the first derivative of b**4/4 - 2*b**3/3 + b**2 + 4*b - 1996. Let z(d) = -3*d**3 + 7*d**2 - 6*d - 11. What is 7*l(m) + 2*z(m)?
m**3 + 2*m + 6
Let a(x) = -88*x**2 - 11*x - 12. Let q(k) = -176*k**2 - 23*k - 27. Give -9*a(c) + 4*q(c).
88*c**2 + 7*c
Let j(c) = 59065*c + 35. Let d(y) = 9830*y + 6. Calculate -35*d(s) + 6*j(s).
10340*s
Let t(h) = -67*h**2 - 8*h - 10. Let r(y) = 669*y**2 + 78*y + 99. What is -4*r(a) - 39*t(a)?
-63*a**2 - 6
Let b(c) = -4*c**3 + 2*c**2 - 3. Suppose -51*k = 449 - 92. Let s(o) = -o**3 + o**2 - 1. Give k*s(u) + 2*b(u).
-u**3 - 3*u**2 + 1
Let i(t) = -4*t**2 - 275*t + 78. Let m(p) = p**2 + p - 13. Determine -i(x) - 6*m(x).
-2*x**2 + 269*x
Let f(u) = 12*u**3 + 160*u**2 - 10. Let s(d) = -6*d**3 - 80*d**2 + 6. Determine -3*f(r) - 5*s(r).
-6*r**3 - 80*r**2
Let n(j) = j**2 + 20*j + 74. Let i be n(-7). Let o(z) = -12*z + 20. Let p(h) = -4*h + 7. Give i*p(s) + 6*o(s).
-4*s + 1
Let j(d) = 3*d + 3. Let y(o) = -o - 1. Suppose 0 = 9*s - 17 - 10. Suppose 757 = -10*b - s. Let l be 134/(-26) - b/494. Give l*y(k) - 2*j(k).
-k - 1
Let k(z) = -88*z**3 + 16*z**2 - 32*z - 418. Let w(i) = -50*i**3 + 9*i**2 - 18*i - 239. Give 9*k(a) - 16*w(a).
8*a**3 + 62
Let l(f) = -3. Let g = -87 - -92. Suppose 5*a - 14*m - 5 = -16*m, a - g*m = 1. Let q(v) = v - 1. Give a*q(k) + l(k).
k - 4
Let x(b) = -2*b**2 + 5*b + 574. Let r(d) = 6*d**2 - 14*d - 1719. Calculate 6*r(k) + 17*x(k).
2*k**2 + k - 556
Suppose -42 = -220*s + 199*s. Let r(h) = 15*h + 33. Let w(i) = -i - 2. What is s*r(z) + 33*w(z)?
-3*z
Let d(i) = 2*i**3 + i**2 + 7. Let y(l) = 14*l**3 + 6*l**2 - 255. Calculate -6*d(k) + y(k).
2*k**3 - 297
Let m(i) = 2*i + 3. Let z be m(-3). Let d(v) = -516*v + 27. Let u(n) = -1239*n + 68. Let p(j) = -12*d(j) + 5*u(j). Let s(h) = h - 5. Determine z*p(t) - 8*s(t).
t - 8
Let r(a) = 4*a**2 + 174*a - 1. Let b(d) = -13*d**2 - 519*d + 4. Determine -3*b(s) - 10*r(s).
-s**2 - 183*s - 2
Let x(a) = 18*a**3 - 565. Let f(z) = 6*z**3 - 189. What is -7*f(o) + 2*x(o)?
-6*o**3 + 193
Let u(a) = 44*a**2 + 67*a - 29. Let x(j) = -20*j**2 - 34*j + 14. Determine -6*u(k) - 13*x(k).
-4*k**2 + 40*k - 8
Let z(f) = -17*f**3 + 2*f**2 - 13*f. Let g = 91 - 250. Let n = -168 - g. Let h(q) = -8*q**3 + q**2 - 6*q. What is n*h(w) + 4*z(w)?
4*w**3 - w**2 + 2*w
Let v(k) = 6*k**3 - 11*k**2 + k - 16. Let x(a) = 3 + 5*a + 60*a - a**3 + 2*a**2 - 127*a + 62*a. What is 4*v(n) + 22*x(n)?
2*n**3 + 4*n + 2
Let h(f) = f**2 - 5*f - 2. Let z(n) = 10928*n**2 - 40980*n - 16392. What is 8196*h(u) - z(u)?
-2732*u**2
Let k(t) = -2*t - 238 + 436 - 205. Let l(d) = 1 - 10*d + 2*d + 7*d - 7. What is -3*k(a) + 4*l(a)?
2*a - 3
Let o(x) = -x**3 + 5*x**2 + 11*x - 4. Let p(s) = 2*s**3 - 8*s**2 - 17*s + 6. Suppose v = 16*v + 720. Let l be 30/(-36) - 172*(-2)/v. What is l*o(q) - 5*p(q)?
-2*q**3 - 3*q + 2
Let c(y) = -16*y**2 + 5*y - 4. Let k(s) = 32*s**2 - 9*s + 7. Let n(j) = j**3 + 41*j**2 + 73*j - 192. Let f be n(-39). Calculate f*k(d) + 5*c(d).
16*d**2 - 2*d + 1
Let l(j) = -7*j - 12. Let c(h) = -24*h + 1182. Let y(p) = p - 39. Let o(m) = -c(m) - 30*y(m). Calculate -2*l(w) + 3*o(w).
-4*w - 12
Let a(f) = 98*f - 25. Let n(d) = 491*d - 125. What is -11*a(u) + 2*n(u)?
-96*u + 25
Let s(z) = 13*z**3 - 12*z**3 - 2*z**2 + 35*z + 37*z**2 + 35 + 4*z**3. Let n(k) = k**2 + k + 1. Determine -105*n(o) + 3*s(o).
15*o**3
Let i = 128 - 134. Let c(l) = 3*l - 1. Let z(m) = 13*m - 5. Let y(r) = 9*c(r) - 2*z(r). Let p(o) = 5*o + 1. Give i*y(b) + p(b).
-b - 5
Let m(s) = -6*s. Let n(v) = 18*v. Let w(y) = y**2 - 15*y + 6. Let d be w(0). Give d*n(u) + 17*m(u).
6*u
Let s(r) = -r. Let i(y) = 7*y - 4. Let o(u) = 14*u - 4. Let d(t) = i(t) - o(t). Suppose -h + 21 - 3 = 0. Determine h*s(b) - 2*d(b).
-4*b
Suppose -u - 24 = 6. Let h(c) = 1 - 4 - 1 + 1 + 2. Let i(b) be the third derivative of -b**4/24 - b**3 - 4*b**2 - 21*b. What is u*h(a) + 5*i(a)?
-5*a
Let d(p) = -1218*p. Let q(z) = -41400*z. Give -138*d(l) + 4*q(l).
2484*l
Let w(p) = -539*p - 91. Let f be (2/(-4))/((-43)/(-516)). Let x(k) = -18*k - 3. Determine f*w(u) + 182*x(u).
-42*u
Let s(w) = -81*w**3 + 7*w**2 - 10*w. Let i(j) = -163*j**3 + 18*j**2 - 24*j. Give 4*i(q) - 10*s(q).
158*q**3 + 2*q**2 + 4*q
Let q(d) = 4*d**3 + 56*d - 4. Let m(s) = 17*s**3 - s**2 + 223*s - 17. Give 2*m(b) - 9*q(b).
-2*b**3 - 2*b**2 - 58*b + 2
Let n(r) = 11*r**3 + 4. Let v(m) = 98*m**3 + 35. Let h = 24418 + -24383. Determine h*n(z) - 4*v(z).
-7*z**3
Let k(z) be the third derivative of -25*z**4/24 + 5*z**3/2 + 4*z**2. Let m(g) = -g + 1. Determine k(x) - 15*m(x).
-10*x
Let i(o) = 120*o + 32. Suppose -55*l = -1210 - 303 - 247. Let x(g) = 11*g + 3. Give l*x(w) - 3*i(w).
-8*w
Let p(v) = 32*v - 8. Let b(t) = 2*t. Let y(i) = -14*b(i) + p(i). Let d(x) = -x + 3. Calculate 7*d(j) + 2*y(j).
j + 5
Suppose 836*r + 2030 = -189*r - 1005*r. Let q(n) = n**3 - n**2 - 2*n - 2. Let s(a) be the first derivative of -a**3/3 + a**2/2 + a + 1. What is r*q(o) - 2*s(o)?
-o**3 + 3*o**2
Let a(q) = -6*q + 2. Suppose -18*w + 2784 = 156*w. Let s(x) = -30*x + 10. Give w*a(g) - 3*s(g).
-6*g + 2
Let m(r) = -142600*r**3 - 248*r**2 + 496*r. Let x(l) = 2881*l**3 + 5*l**2 - 10*l. What is -5*m(g) - 248*x(g)?
-1488*g**3
Let d = -5 - 5. Let f(i) = 2*i**2 + 5*i - 5. Let r(p) be the first derivative of -82 - p + 1/2*p**2. What is d*r(b) + 2*f(b)?
4*b**2
Let k(v) = -3*v - 9. Let o = 5/604 + 589/1812. Let h(d) be the second derivative of -o*d**3 + 0 + 11*d - 5/2*d**2. What is 7*h(l) - 4*k(l)?
-2*l + 1
Let s(b) = 11*b + 226. Let j(w) = 2*w - 2. What is -10*j(u) + 2*s(u)?
2*u + 472
Let y(p) = 18*p**3 + 27*p**2 + 80*p - 3. Let m(d) = 6*d**3 + 9*d**2 + 30*d - 1. Calculate 8*m(n) - 3*y(n).
-6*n**3 - 9*n**2 + 1
Let v(o) = 22. Let w(q) = -37. Let i(n) = 5*v(n) + 3*w(n). Let g = -22 + 21. Let d(h) = 2*h + 3. Determine g*d(c) - 5*i(c).
-2*c + 2
Let j(d) = 39546749*d - 39408. Let a(n) = -9031*n + 9. Calculate -13136*a(k) - 3*j(k).
-9031*k
Let x(b) = 99*b**2 - 140*b - 6. Let l(m) = -35*m**2 + 46*m + 2. What is -11*l(j) - 4*x(j)?
-11*j**2 + 54*j + 2
Let y(r) = -3*r + 7. Let b(k) be the third derivative of -7*k**4/24 + 7*k**3/3 + 979*k**2. What is 4*b(j) - 9*y(j)?
-j - 7
Let g(x) = -5 - 1 + 4 - x**2 + 6 - 5. Let b(c) = c**3 + 7*c**2 - c - 6. Let a be b(-7). Let r(q) = a - 6 - 4*q**2 + 0 + 0. Calculate 9*g(s) - 2*r(s).
-s**2 + 1
Let h(t) = -54*t - 59. Let r(s) = 209*s + 235. Give -23*h(x) - 6*r(x).
-12*x - 53
Let u(c) = -123*c**2 - 89*c. Let b(v) = -121*v**2 - 106*v. Determine 5*b(r) - 6*u(r).
133*r**2 + 4*r
Let l(b) = 20*b - 2. Let k(n) = 87*n - 539. Calculate k(r) - 4*l(r).
7*r - 531
Let s(f) = f**2 + 3. Let r(m) = 225*m**2 - 23. Calculate -r(b) - 6*s(b).
-231*b**2 + 5
Let a(y) = 6*y + 2. Let d(i) = -17*i - 5. Suppose -30*k + 68 + 52 = 0. Let f(p) = k*d(p) + 11*a(p). Let z = 7 + -2. Let u(b) = 3*b - 3. What is z*u(r) + 8*f(r)?
-r + 1
Let g(d) be the second derivative of d**3/6 - d. Let c(t) = 26 - 5*t + 21 + 27 + 16 - 90. Give 2*c(o) + 9*g(o).
-o
Let z be -3*(1*-4 + 3)/1. Let w(h) = h**2 - 2*h + 1. Let x(d) = 2*d**2 - 3*d + 2. Let q(b) = 3*w(b) - 2*x(b). Let o(v) = -5*v**2 + 5*v - 3. Give z*q(a) - o(a).
2*a**2 - 5*a
Let r(t) = 33*t - 7. Let o(j) = -4*j + 1. Let y(m) = 6*o(m) + r(m). Let s(z) = 7*z. Let n(p) = -4*s(p) + 3*y(p). Let a(h) = h + 2. What is -4*a(u) - 3*n(u)?
-u + 1
Let g(x) = 942 - 21*x**2 + 11*x - 19*x**2 - 953. Let y(o) = -8*o**2 + 2*o - 2. Calculate 2*g(r) - 11*y(r).
8*r**2
Let t(z) = -z**3 - z - 1. Let s(c) = -3*c
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - u + 35 wrt k.
-33*k**2
Let k(q) be the third derivative of -q**7/210 + 7*q**6/40 + 11*q**4/8 + 62*q**2. Find the second derivative of k(m) wrt m.
-12*m**2 + 126*m
Let x(r) be the first derivative of -20/3*r**3 + 0*r**6 - 4 + 0*r**2 + 0*r**4 - 8/7*r**7 + 0*r + 0*r**5. Find the third derivative of x(j) wrt j.
-960*j**3
What is the derivative of 158888 - u**3 - 158108 - 13*u**2 - 2*u**3 wrt u?
-9*u**2 - 26*u
Let b(r) be the third derivative of 8*r**7/21 - 47*r**3/6 + 10*r**2. What is the first derivative of b(s) wrt s?
320*s**3
Let j(x) = 298*x**3 + 34*x**2 + 17*x + 451. Let f(c) = -99*c**3 - 12*c**2 - 6*c - 150. Let t(d) = 17*f(d) + 6*j(d). Differentiate t(i) wrt i.
315*i**2
Let y(g) = 3*g**3 + 28 - 26 - 2*g**3 - 3*g**2 - 4*g. Let k be y(4). What is the derivative of -14 - 5*n**k - 2*n**2 + 4*n**2 wrt n?
-6*n
Let n(h) be the second derivative of h**8/420 - 2*h**6/45 - 4*h**3 + 10*h. Let a(f) be the second derivative of n(f). Find the third derivative of a(b) wrt b.
96*b
Find the third derivative of -23*h**2 - 18*h**5 + 8*h**5 - 2*h**6 + 11*h**5 - 41*h**2 wrt h.
-240*h**3 + 60*h**2
Suppose -2*k + 5 = 1. What is the third derivative of -10*j**k - 85 + 85 + 12*j**3 wrt j?
72
Let s(k) be the first derivative of 0*k + k**5 + 5/3*k**3 + 0*k**2 + 0*k**4 - 11. What is the third derivative of s(a) wrt a?
120*a
What is the third derivative of 111 - 3113*i**2 + 71 + 2*i**4 + 3114*i**2 - 4*i**3 wrt i?
48*i - 24
Suppose 0*f + 2*b = 3*f - 3, -2*b + 21 = 5*f. Suppose -10 + 2 = -2*y. What is the second derivative of f*c**5 + 12*c**y + 5*c - 12*c**4 + 0*c wrt c?
60*c**3
Suppose 3*g - 7 = -1. Differentiate 17 + 24 + g + 38*a + 6 with respect to a.
38
Let d(i) be the third derivative of 45*i**2 + 0 - 11/6*i**3 + 0*i + 41/24*i**4. Differentiate d(s) wrt s.
41
Let g(l) be the third derivative of l**4 + 11/40*l**6 + 0*l**5 - 15*l**2 + 0 + 0*l**3 + 0*l. Find the second derivative of g(u) wrt u.
198*u
What is the first derivative of -45 + 81 + 225*g + 174*g + 200 wrt g?
399
Let d = 32 + -26. Let h(p) be the second derivative of 1/2*p**2 - 1/15*p**d + 0*p**5 + 0*p**4 + 0*p**3 + p + 0. Find the first derivative of h(n) wrt n.
-8*n**3
Let m(o) be the second derivative of 319*o**3/6 - 153*o**2 - 433*o. Differentiate m(b) wrt b.
319
Let s(k) = -k**2 + 4*k + 5. Let c be s(3). Let a = 15 - c. What is the derivative of 3*q**2 + 0 - 3*q**3 - 3*q**2 - a wrt q?
-9*q**2
Let o(x) = -x**2 + 13*x - 20. Let i be o(11). What is the third derivative of -65 + 6*c**5 + 65 + 11*c**i wrt c?
360*c**2
Let d = 1 + 7. Differentiate 1 + 2*t**4 - d*t**4 + 1 - 12 wrt t.
-24*t**3
Let s = 6 + -1. Suppose -m = -s + 1. What is the third derivative of -2*y**2 + 6*y**m + 4*y**2 + 0*y**4 + 3*y**2 wrt y?
144*y
Let g = -16 - -28. Suppose 5*o = o + g. Find the second derivative of 8*a + a**3 - 12*a + 7*a**o wrt a.
48*a
Let l(g) = -4*g + 14. Let t(x) = -3*x + 14. Let u(y) = -2*l(y) + 3*t(y). Let c be u(10). Differentiate 4 - 6 - 2 - c*p with respect to p.
-4
What is the third derivative of -26*z**4 - 20*z**4 + 35*z**4 + 6*z**3 - 3*z**3 - 105*z**2 wrt z?
-264*z + 18
Let p be (-12)/(-9) + (-4)/(-6). What is the third derivative of -27*c**4 + 21*c**2 + 31*c**2 - 5*c**p wrt c?
-648*c
Let n(j) be the first derivative of -9*j**5/5 + 13*j**3/3 - 7*j - 18. Let z(g) be the first derivative of n(g). What is the second derivative of z(b) wrt b?
-216*b
Let g(y) be the first derivative of y**5/12 - 11*y**4/24 - y**2 - 2. Let s(p) be the second derivative of g(p). What is the second derivative of s(j) wrt j?
10
Let k(p) = -11*p**3 + 57*p**2 + 2*p + 5. Let o(f) = -f**2 - f - 2. Let w(s) = -k(s) - 2*o(s). Find the third derivative of w(v) wrt v.
66
Let o(c) = c**3 + 24*c**2 - 51*c + 28. Let l be o(-26). What is the second derivative of 5*d**3 + d**l + 10*d + 14*d - d**2 wrt d?
30*d
What is the second derivative of -3*d - 206 - d + 22*d**4 + 209 + d**2 wrt d?
264*d**2 + 2
Let c(y) be the second derivative of -y**6/30 - 27*y**5/20 + 595*y**4/12 + y + 51. What is the third derivative of c(j) wrt j?
-24*j - 162
Let f(u) be the first derivative of 6*u**3 - 4*u**3 + 13*u + 7 - 3*u**3. Differentiate f(s) wrt s.
-6*s
Let v(b) = b**3 - 4*b**2 + 5*b - 2. Let j be v(3). Suppose j*h - 38 = 6. Find the second derivative of -11*g**4 - 24 + h*g + 24 wrt g.
-132*g**2
Let w = -31 - -23. Let d = w + 8. Find the third derivative of d*o**2 + 3*o**2 - 7*o**2 + 5*o**4 wrt o.
120*o
Suppose 6*y - y + 2*r - 779 = 0, -5*y = -5*r - 800. Find the second derivative of -y + 2*b**2 - 12*b**2 + 3*b + 157 wrt b.
-20
Suppose -3*w - g = -10, 12*w + 2*g = 8*w + 14. What is the third derivative of 3 - 31*n**4 + 24*n**2 - w - 3*n**4 wrt n?
-816*n
Let g(r) be the third derivative of 21*r**6/40 - 68*r**3/3 - 527*r**2. What is the derivative of g(k) wrt k?
189*k**2
Let l(g) be the first derivative of 0*g**3 + 0*g**4 - 26 + 0*g**2 + 7/5*g**5 + 35*g. What is the first derivative of l(t) wrt t?
28*t**3
What is the third derivative of 168*i - 86*i**3 - 167*i + 18*i**2 - 101*i**3 wrt i?
-1122
What is the third derivative of -8*k**6 + 634400*k**5 + k**2 - 6*k - 634400*k**5 - 3*k**3 wrt k?
-960*k**3 - 18
Suppose 3*z - 5*z - c + 12 = 0, -z - 8 = 4*c. Let v = z - 6. What is the third derivative of 4*k**v - 2*k**4 + 2*k**4 + k**4 wrt k?
24*k
Let q(h) be the second derivative of 0*h**6 + 0*h**2 + 0*h**3 - 8*h + 0*h**5 - 1/3*h**4 - 2/21*h**7 + 0. Find the third derivative of q(n) wrt n.
-240*n**2
Let o(u) = -2*u**3 - 3*u**2 + u + 1. Let a be o(-2). Find the second derivative of 3255*c + a*c**4 - 44*c**4 - 3282*c wrt c.
-492*c**2
Let a(p) = -27*p**2 + 28*p + 9. Let j(g) = -14*g**2 + 14*g + 4. Suppose 8*z = 4 - 76. Let v(y) = z*j(y) + 4*a(y). Find the second derivative of v(t) wrt t.
36
Let d(z) = 340*z - 200. Let n(g) = g. Let a(p) = -d(p) + 20*n(p). Differentiate a(h) wrt h.
-320
Let g(h) = -3*h + 18. Let p be g(5). Find the first derivative of -22 - p + 11*m - 4 wrt m.
11
Let p(k) = 6 - k**4 + 8 - 2*k**2 - 5*k**2 + 19*k**4. Let t(l) = -9*l**4 + 3*l**2 - 7. Let w(x) = -3*p(x) - 7*t(x). Differentiate w(c) with respect to c.
36*c**3
Suppose 16*d - 4 = 15*d. Find the second derivative of 28*a**d + 3*a**4 + 0*a - 26*a wrt a.
372*a**2
Let i(w) = -2*w + 34. Let v be i(16). Let c(u) be the second derivative of 0 - v*u + 1/4*u**4 + 0*u**2 + 1/2*u**3. What is the second derivative of c(b) wrt b?
6
Let x(g) be the second derivative of -33*g**4/4 + 137*g**2/2 + 29*g. What is the derivative of x(k) wrt k?
-198*k
Let y(s) = 221*s - 39. Let b(p) = -p + 2. Let a(c) = 78*b(c) + y(c). Differentiate a(v) with respect to v.
143
Let m be (4*9/(-30))/((-2)/5). What is the first derivative of -30*a**m + 4*a**3 - 2*a**3 + 0*a**3 - 26 wrt a?
-84*a**2
Let n(d) = 13*d**3 + 20*d**2 + 100*d + 856. Let x(b) = -6*b**3 - 8*b**2 - 50*b - 427. Let w(f) = -2*n(f) - 5*x(f). Find the first derivative of w(v) wrt v.
12*v**2 + 50
Let t(x) = x**2 + 3*x + 3. Let y be t(-4). Let p = 12 - y. Find the second derivative of -4*n**p + 10*n**5 - 5*n + n - 3*n wrt n.
120*n**3
Let x(t) = t**3 + 4*t**2 - 12*t + 3. Let o be x(-6). Suppose 0*z + o*z + 7 = -u, 5 = u - z. What is the third derivative of d - d**u + d - 2*d + 4*d**3 wrt d?
24
Let h(z) be the second derivative of z**9/2160 - 7*z**5/40 + z**4/6 - 9*z. Let g(j) be the third derivative of h(j). Find the first derivative of g(q) wrt q.
28*q**3
Let f(u) be the second derivative of -21*u**5/5 + 8*u**2 + 23*u. What is the first derivative of f(g) wrt g?
-252*g**2
Let a(h) be the first derivative of h**7/28 + h**5/6 - 32*h**3/3 - 28. Let z(s) be the third derivative of a(s). What is the second derivative of z(i) wrt i?
180*i
Let i(m) = m - 2. Suppose -3*b + 30 = -0*b. Let g be i(b). Find the second derivative of 2*o + 2*o + 3*o**2 - g*o + 3*o wrt o.
6
Let p(t) = 4*t + 11. Let a(o) = 2*o + o - 2*o. Suppose 18*f = 24*f - 30. Let n(h) = f*a(h) + p(h). What is the derivative of n(i) wrt i?
9
Let b = 1213 + -1210. Let h(w) be the third derivative of w**2 + 0 + 0*w**5 + 0*w**4 + 0*w - 2/3*w**b - 1/15*w**6. Differentiate h(a) wrt a.
-24*a**2
Let p(u) be the first derivative of u**4/4 - 59*u**3/3 + 46*u**2 + 42. What is the second derivative of p(q) wrt q?
6*q - 118
Let y(s) be the second derivative of s**8/48 + 4*s**5/15 - s**2 + 14*s. Let h(u) be the first derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
*s - r = 3*s for s.
-4
Let d = -515 - -515. Solve d = -2*c - 51 + 59 for c.
4
Let u be 82/14 + (-6)/(-42). Solve 21 = 13*k - u*k for k.
3
Let r(n) = n**3 - 21*n**2 - 99*n - 15. Let o be r(25). Solve 7 - o = 3*m for m.
-1
Suppose 2*f + 4*d + 14 = 0, -4*d + 2 = -f - d. Let g(o) = -o + 4. Let t be g(0). Let n be (t/1)/(f/(-5)). Solve -n*i = -7*i for i.
0
Let p(l) = -l**3 - 4*l**2 + 3*l - 6. Let t(n) = 4*n**3 + n. Let f be t(-1). Let b be p(f). Let d = -66 + 73. Solve -b*z - 13 - d = 0 for z.
-5
Let o be 9 - (4 + (7 - 6)). Solve 5*k = 4*k + o for k.
4
Suppose 2*a - 10 = -3*r, -r - 8*a + 7*a = -3. Solve 13*i - 14*i - r = 0 for i.
-4
Let q(r) = -r**3 + 4*r**2 + 1. Let m be q(3). Suppose -5*w = -5*u + 2*u - m, -u = 5*w - 30. Suppose 0 = -u*h - 5*s + s, -5*h = 5*s. Solve -b + 0 + 5 = h for b.
5
Let d be 7/77 + 42/22. Solve -4*v - d = -18 for v.
4
Suppose 5*d - 11 = 2*j - 49, -d - 40 = -4*j. Let k = -693 + 699. Let m = j - k. Solve -3*v = -4*v - m for v.
-3
Let h(x) = 5*x - x + 2 - 3*x - 3*x. Let j be h(-8). Suppose -74 = -4*s - j. Solve -s = -5*b + 6 for b.
4
Let n = -4 + 10. Suppose -f = -5*f + 2*o + 100, 0 = o + 2. Let y be (-63)/28*5/((-45)/f). Solve n + y = -4*l for l.
-3
Let i be -16 - -19 - (-14 - 1). Suppose 2*k - k - i = 4*l, 3*l = -k - 10. Solve k*w + 4 = -6 for w.
-5
Let i(z) = -3*z - 23. Let s be i(-9). Suppose 0 = s*w - 20, 3*w - 15 = -2*h + 12. Solve -h = -2*a + 4 for a.
5
Let x = 303 + -292. Solve -18 = -7*c - x for c.
1
Suppose 5*b + 5 = 10. Let p be 8/4 + 1 - -5. Suppose -4*j = -4 - p. Solve j + b = -x for x.
-4
Let k be (12/8)/((-6)/8). Let t be (-7 - k) + 3 - 17. Let n = -17 - t. Solve n = y - 1 for y.
3
Let i(h) = -h**2 - 19*h - 58. Let k be i(-15). Solve k*m = 8*m + 18 for m.
-3
Let g be (-94)/(-18) - 2/9. Let z(y) = y**3 + 3 - 2*y + 15*y - 8*y - 6*y**2. Let s be z(g). Solve s*k - 2 = -5 for k.
-1
Let j(y) = y**2 + 16. Let o be j(7). Solve o - 73 = -2*g for g.
4
Let s = -384 + 387. Solve -s*n + 8*n = 20 for n.
4
Let x(r) = -4*r**2 - r. Let o(q) = 19*q + 24*q + 3*q**2 - 42*q. Let j(p) = -3*o(p) - 2*x(p). Let i be j(0). Solve i = -l - 4 + 2 for l.
-2
Suppose 80 = 179*q - 169*q. Let a be 0*-2*2/8. Solve a = 4*c + q + 12 for c.
-5
Suppose w - 2 = 3. Let x(f) = -f**2 + 7*f - 6. Let o be x(w). Let r be (-3)/7 + (-6)/70*-5. Solve r*p = p + o for p.
-4
Suppose 0 = 3*q - 3, 3*l + q + 16 = -4. Let g = 9 + l. Solve -2*p - g*p - 4 = 0 for p.
-1
Let w = 567 - 564. Solve -18*b + 19*b = w for b.
3
Let k be (8/20)/(2/10). Suppose k*v = 4*v - 26. Let t = -13 + v. Solve t*f = -3*f - 9 for f.
-3
Suppose 9*c = 5*c + 8. Suppose 0 = -c*r + 5*r - 9, -3*r + 3 = -3*z. Suppose -z*f = -12 - 4. Solve -3 + f = -5*l for l.
-1
Let o = -1346 + 1354. Solve -o*h + h = 35 for h.
-5
Let v(b) = -2*b**3 + 2*b**2 + 6*b + 4. Let g be v(-2). Let f = -11 + g. Solve f = 3*a - 1 for a.
2
Suppose 3*i + 4*f = -f - 2, i - 2*f - 14 = 0. Solve 3*g + 3 - i = 0 for g.
1
Suppose -39 = -2*v - 13. Let q = -4 - -4. Suppose 2*d + 9 - v = q. Solve 23 = -5*c - d for c.
-5
Let f = 2 + -88. Let g be 12/(-42) + f/(-7). Suppose -b = -4*b + g. Solve -20 = b*j + j for j.
-4
Suppose -14*p = -15*p + 3*g + 5, -23 = -3*p + 5*g. Solve -3*o = -1 - p for o.
4
Suppose -3*r + 10*o + 289 = 9*o, -5*r - o = -471. Let g = 100 - r. Solve 2 = g*l - 8 for l.
2
Let r = -28 + 37. Suppose 13*i - 132 = r*i. Let k = -28 + i. Solve k*y = y for y.
0
Let q be (-1)/((-3)/(-6))*-5. Suppose -8*w + 3*w - 30 = 0. Let n = q - w. Solve -5*o = -4 - n for o.
4
Let a = 223 - 218. Solve -3*n - a = -4*n for n.
5
Let o(a) = -7*a**2 - 92*a. Let z be o(-13). Solve 11 = -2*b + z for b.
1
Suppose 3*w + 4*k + 10 = -k, 3*w - 3*k = 6. Let i(g) = -g**2 - 5*g + 7. Let y be i(-6). Solve -d + w*d = y for d.
-1
Suppose 0 = 19*v - 12*v - 252. Solve 0 = 3*g + 6*g + v for g.
-4
Let g = -179 - -103. Let v = 78 + g. Solve -5*q = 7 - v for q.
-1
Let r(k) = k**3 + 51*k**2 + 101*k + 152. Let g be r(-49). Solve -g*a = a - 30 for a.
5
Suppose 23*b - 19*b - 16 = 0. Solve 3 = k - b*k for k.
-1
Let f(u) = -u**2 - 8*u - 7. Let a be f(-7). Suppose t - 3*w = 2*w - 22, 3*t + 5*w - 34 = a. Let l be 6 - -2*t/(-6). Solve 6*p = p + l for p.
1
Let f(a) = 5*a + 70. Let b be f(-14). Solve 6 + b = -3*p for p.
-2
Let a = -48 + 52. Suppose a*v - 8 = 2*v. Solve -v*y = y for y.
0
Suppose -4*u = u + 100. Let a = u + 17. Let x be (0 + -15)*(a - -2). Solve j = 4*j - x for j.
5
Let f(s) = 3*s + 12. Let h be f(11). Suppose 5*l + 95 = -h. Let x be 2/3*(-630)/l. Solve p - x = -2*p for p.
5
Suppose -3*p + 31*z = 35*z - 53, 0 = -4*z + 20. Solve -9*c + p*c = -8 for c.
-4
Let s(c) = c**2 - c + 8. Let t be s(-5). Suppose 2*p - 6 = -4, 0 = -4*i + 2*p + t. Solve 2*r = -3*r - i for r.
-2
Let t = -33 + 34. Let j be (t + 0)/((-8)/(-56)) - 3. Solve j*p + 11 - 3 = 0 for p.
-2
Suppose -3*n - 63 = -10*n. Suppose -4*y = -n*y + 10. Solve y*q = 6 + 4 for q.
5
Let w be (-60)/270 - (-58)/18. Solve w*o - 6 = 3 for o.
3
Let q be (-62)/93*(-5 - (2 - 1)). Solve 0 = -9*a + 5*a - q for a.
-1
Let p(u) = -2*u**2 - 2*u + 2. Let l be p(1). Let j = l + 2. Solve x - 2*x - 5 = j for x.
-5
Let p(k) = -k**3 + 10*k**2 - 2*k + 15. Let z be p(10). Let r be (2/1)/(z/(-20)). Let t(i) = -i + 10. Let h be t(r). Solve h*j = -j for j.
0
Let r = 314 + -311. Solve 4 + 8 = -r*n for n.
-4
Suppose 0 + 35 = 35*j. Solve -j + 5 = -4*d for d.
-1
Let r be ((-35)/21)/((-3)/9). Let d be ((-36)/(-27))/(-4*(-1)/6). Solve r*a - d*a = 0 for a.
0
Suppose 3*r - 519 + 513 = 0. Solve -17 + 7 = r*v for v.
-5
Let u(h) be the second derivative of h**3/6 + 15*h**2/2 - 21*h. Let k be u(-5). Solve -2*x + 4 = k for x.
-3
Let c(i) = -16*i**2 - 57*i - 7. Let r be c(-3). Solve 5*k + 30 = r*k for k.
2
Suppose 5*f - 3*z + 5*z = 0, -5*f = 5*z + 15. Suppose 0 = -5*w + w - d + 10, 0 = -5*w + 4*d + f. Solve 4 = w*m + 14 for m.
-5
Let j(n) = n**3 + 6*n**2 - 7*n + 13. Let c be j(-7). Solve -7*w + c = -8 for w.
3
Let w(l) = 8*l**3 - l**2 - l + 3. Let o be w(1). Solve 0 = -6*z + 3*z + o for z.
3
Let y be (-273)/(-13)*((-36)/21 - -3). Solve -y = 3*l + 6*l for l.
-3
Let i be 12/9*(7 + 29). Solve -20*a - 32 - i = 0 for a.
-4
Suppose -101 = -10*d + 259. Solve 0 = 13*z - 29 - d for z.
5
Let p be (-3 - 6)/(-1) + (-25)/5. Solve -p*a = -11 + 7 for a.
1
Let g be (-15)/10 - 2/4. Let d be 12/(-3) - g*4. Suppose 103 = d*q + 23. Solve 0 = -3*j + 8 - q for j.
-4
Let r(o) = -o**3 + 8*o**2 + o - 6. Let v be r(8). Suppose 0 = 4*i, -k + 4 = i + v. Let h(m) = 4*m**3 - m**2 - 2*m + 2. Let w be h(1). Solve k = -z + w for z.
1
Let i be (11 + (-3 - -1))*4/12. Let v be 112/4 + (i - 5). Solve -5*f = 1 - v for f.
5
Suppose -2*b + 48 = -2*s + 268, 0 = 3*s + 2*b - 325. Let c = -109 + s. Solve -16 = -4*x - c*x for x.
4
Let u(s) = -s + 9. Let g be u(5). Suppose 0*v = -g*v. Suppose -2*k + 5*k = 12. Solve -k*t + 1 - 9 = v for t.
-2
Suppose 2*i = -4*t + 18, -2*i + 25 = 2*t + 19. Solve -t*j + 3*j - 15 = 0 for j.
-5
Suppose -4*r = 3*u - 6, 3*u + 1314 - 1320 = 2*r. Suppose -5 + 110 = -5*p. Let w be 2/4 + p/(-6). Solve -u = w*m + 14 for m.
-4
Let k be 3/((-12)/48 + 1). Solve -k*d = -38 + 18 for d.
5
Let j(n) be the first derivative of -n**3/3 + n**2/2 + 69. Let i be -2 + 3*4/6. Let u be j(i). Solve u*f = -3*f + 9 for f.
3
Suppose 4*l = 8*l - 5*j - 75, 3*l = -3*j + 36. Let r(h) = -7*h - 4. Let q be r(-3). Let p = q - l. Solve 7 = -5*n + p for n.
-1
Let a(x) = -77*x - 301. Let m be a(-4). Solve 1 = -6*l + m for l.
1
Let r(a) = -a**2 + 9*a - 6. Let b be r(8). Let f = -533 + 539. Solve -b*g + f = g for g.
2
Suppose -3 = 3*g, 6*j + 95 = 8*j + 3*g. Solve -32*k = 111 + j for k.
-5
Suppose 5*t + 2*b = 27, b = 10*t - 9*t - 4. Solve 0 = 6*j - j + t for j.
-1
Let o(j) = -2 + j + 2*j**2 - 3*j**2 + 0*j + 3*j. Let f be o(2). Solve -n = -f*n + 4 for n.
4
Suppose -2*k = -4*n + 24, n - 4*n = -k - 17. Solve f - n = 6*f for f.
-1
Let x(z) = 16 - 6 + 2*z**2 - 8 - 19*z. Let p be x(8). Let n be p/(-8) + (-6)/8. Solve 2*v - 8 + n = 0 for v.
3
Let r = -10 - -10. Suppose z + 0 - 4 = r. Suppose -3*k + 2 = -z. Solve 0 = k*h + h + 12 for h.
-4
Let z = -3 - -7. Suppose -3*r - 2*r + 45 = 5*t, 30 = 5*t + 2*r. Suppose -t*s + 24 = 3*p, -4*s + 0*s = 5*p - 32. Solve -4 = p*v + z for v.
-2
Let z(h) = h**2 + 9*h - 12. Let v be z(-11). Let o be 18/15*v/4. Let w be o + -4 - -4*1. Solve w*l - l = 6 for l.
3
Let q(j) = 2*j**2 - 43
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*h = 3, -3*d + 9 = 2*h - 4*h. Let z be (4 - d) + -2 + 4. Solve 0 = -z*r + 1 - 4 for r.
-1
Let q = 6 - 4. Suppose 5*u - q*u = -2*n + 10, 0 = -4*u + n + 6. Suppose -l - 4*x - 4 = -u*l, x = 0. Solve -l*a + 0 = -4 for a.
1
Suppose -3*u - l + 22 = -6, l + 42 = 4*u. Solve 9*c + 2 = u*c for c.
2
Let z = -5 - -11. Let x be (-4)/z*(-9)/12*2. Solve -3 - x = s for s.
-4
Let m be 4 + 28 + -7 + 3. Let c = -19 + -9. Let n = m + c. Solve n*v = v + 5 for v.
-5
Let f be 465/(-45) - 1/(-3). Let g = f - -12. Solve -g*r + 3*r + 5 = 0 for r.
-5
Let u be 5 + -2 + 11/((-11)/(-6)). Solve -10*y + 5 = -u*y for y.
5
Let f = 13 - -91. Let p = f + -102. Solve -3*z = p*z - 15 for z.
3
Let o be 2 - ((-3 - -4) + 2 - 4). Solve 0*i = o*i + 12 for i.
-4
Let y(c) be the first derivative of -c**3/3 - 2*c**2 - 2. Let v be y(-3). Suppose -j + 12 = v*j. Solve -j*o - 6 - 3 = 0 for o.
-3
Let y(m) = 4*m**3 - 2*m + 1. Let f be y(2). Let s = 6 + 15. Let z = f - s. Solve -n - n = z for n.
-4
Let n(q) = q + 13. Let k be n(-9). Suppose -p - k = -3*p. Suppose -p*m + 2 + 4 = -4*a, -22 = -4*m - 2*a. Solve -36 = -m*c - 11 for c.
5
Let p(l) = 7*l**3 + l**2 + 10*l + 8. Let f(r) = 3*r**3 + 5*r + 4. Let d(i) = 9*f(i) - 4*p(i). Let y be d(-5). Solve -y*w - 4 = 8 for w.
-3
Let c(s) = -3*s**2 + 79*s + 83. Let p be c(27). Solve -9*a = p + 16 for a.
-5
Let g = -671 + 696. Solve 4*j + j - g = 0 for j.
5
Suppose -5*l + 3*l + 2*m + 174 = 0, 3*l = 2*m + 266. Let n = -88 + l. Let z(a) = a**2 + 5*a + 4. Let j be z(-4). Solve -w = -j*w - n for w.
4
Suppose 4*s - 16 = 4*z, -42*s - z = -45*s + 4. Solve s*x - x = 5*x for x.
0
Let c = -198 + 200. Solve z - 2*z = c for z.
-2
Let f(m) = m**3 + 3*m**2 - 7*m - 10. Let r be f(-4). Solve 4 = -3*s - r for s.
-2
Suppose 0 = f + f + 12. Let q be f/(-18) + (-88)/(-6). Let k be (-4)/6 - (-10)/q. Solve k = -7*y + 3*y - 20 for y.
-5
Suppose -3 = -6*b + 5*b + 2*q, 6 = 2*b + 5*q. Solve 2*l - 1 - b = 0 for l.
2
Let c be (-2 + -6)*21/14. Let u = 15 + c. Suppose -5*f + 12 = -u*f. Solve -f*g = -g - 15 for g.
3
Let d(g) = -g**2 - 5*g - 6. Let q be d(-4). Let a = q - -6. Let j be (-6)/(-8) + (-1)/(-4). Solve 3*r + j = a for r.
1
Let d = -149 - -151. Solve 2*k = 4 - d for k.
1
Let w be (-3)/(-9) + 3/(-9). Let k be ((-2)/(-24)*6)/((-2)/(-8)). Solve -r + 3 + k = w for r.
5
Let y be (47 - 46)*(1 - -2*2). Solve -y*o = -o - 12 for o.
3
Let l(d) = 4*d + 24. Let g be l(-6). Suppose g = -4*x + 8*x. Suppose -3*s - 5*u - 3 + 29 = x, 2*s = u. Solve 0 = -c + s*c for c.
0
Suppose 0*p = 5*i - p - 201, -2*p + 172 = 4*i. Let d = i - 30. Let f = 31 - d. Solve -7*z - f = -2*z for z.
-4
Let m(q) = -11*q + 3. Let a be m(2). Suppose 0 = 5*c - 8*c. Let b = c - a. Solve 5*n - 1 - b = 0 for n.
4
Suppose 715*g = 717*g - 80. Solve -23*f + g = -33*f for f.
-4
Let u = 1461 + -1461. Solve -49*r + 44*r - 25 = u for r.
-5
Let p = -352 - -357. Solve 0 = -4*v - p*v + 18 for v.
2
Let k = -26 - -15. Let p(f) = -28*f - 8. Let c be p(-1). Let x = k + c. Solve a + x = 4*a for a.
3
Let g(b) = b**2 + 6*b - 7. Suppose 0*r - 2*r - 6 = 0, -s = -4*r - 9. Let q be (s/(-6))/((-4)/56). Let t be g(q). Solve 5*a - 3*a = t for a.
0
Suppose -40*b = -38*b - 4. Suppose -w - b + 6 = -4*c, 0 = 2*w - 4*c - 16. Solve -s - 3*s = -w for s.
3
Suppose -2*g + 3 + 13 = -4*q, 0 = -4*g + q + 11. Suppose -3*h - 2*h = 2*u - 10, -32 = 4*u - 3*h. Let v be (-1 - -1)/(u + 4). Solve g*k + v = 2 for k.
1
Let n(z) = z**2 + 4*z**2 - 7*z - 6*z**2 - 4. Suppose -2*i = -2*q - 18, q + 30 = -2*q + 4*i. Let g be n(q). Solve -3*p = -p + g for p.
-1
Suppose 0 = y + 23 + 11. Let s = y + 42. Let r(n) = -n**2 + 3*n + 4. Let a be r(3). Solve s = -a*k - 4 for k.
-3
Suppose -3*u - 9 = 0, -2*u - 30 = 3*a - 33. Solve a*p - 2 = 10 for p.
4
Suppose -4*m - 2 = -5*m. Let b be m/5 - 116/(-10). Suppose -4*h + 3*t = -t - b, -4*h + 2*t = -6. Solve p - 2 = -h for p.
2
Suppose 21*z = 22*z - 12. Solve -z*u + 13 = -47 for u.
5
Let y(n) = 2*n**2 - 26*n - 16. Let w be y(14). Solve -w*d + 18 = -42 for d.
5
Suppose -f + 15 - 5 = 0. Let w(y) = 15*y - 65. Let l be w(4). Let a = f + l. Solve 3*p = a*p - 10 for p.
5
Suppose -9*y = -7*y + 12. Let h = 10 + y. Solve 0 = h*d + 13 - 1 for d.
-3
Let k(t) = 8*t - 11. Let o be k(5). Let x(n) = -n**2 - 17*n - 9. Let j be x(-15). Let i = o - j. Solve 0*z + i = 2*z for z.
4
Suppose -34 = -11*q + 10. Suppose 14 = q*b + 2. Suppose -2*n + 0*s + 26 = -5*s, 0 = -3*n - 4*s + 62. Solve -6 = -b*y - n for y.
-4
Let t = -772 - -784. Solve t = -4*n + n for n.
-4
Suppose 4*l - 8 = -0. Let r(f) = f - 8*f**l + 7*f**2 + 4*f. Let z be r(5). Solve -g + 4 + z = 0 for g.
4
Let c be 4*1 + (-1)/(-1). Let g(j) = -19*j + 2. Let i be g(0). Solve i*h + 1 = c for h.
2
Let f(g) be the second derivative of 0 - 6*g + 3/2*g**2 + 1/6*g**3. Let p be f(-1). Solve -p*y - 5 = -1 for y.
-2
Let m(d) = -79*d - 467. Let p be m(-6). Solve 127 = p*l + 134 for l.
-1
Let m = 31 + -27. Suppose -m*c - c + 25 = 0. Solve -c*w - 4 = 6 for w.
-2
Suppose 512 = 15*j + 92. Solve 0 = -6*i + 4 - j for i.
-4
Let z = -49 - -57. Suppose 17 = z*i - 55. Solve 0*g = 3*g + i for g.
-3
Let f(w) = -10*w + 287. Let i be f(27). Solve 0 = -i*q + 5 + 63 for q.
4
Let g = 45 - 20. Solve v + 4*v = g for v.
5
Let b = 3 - 9. Let x(k) = -k**2 - 8*k - 12. Let d be x(b). Solve d*m - 9 = 3*m for m.
-3
Suppose 4*i = -0*i + 16. Suppose -l = -a + 2*a + 16, -5*l = 15. Let y = -10 - a. Solve i = -k - y*k for k.
-1
Let p = -71 - -116. Let o = -42 + p. Solve -3 - 9 = o*h for h.
-4
Let n(g) = -g - 3. Let w be n(-9). Suppose w = j + j. Solve 0 = k + j*k - 16 for k.
4
Suppose -2*q = -16 - 20. Let z be (2 - q)/(3 - 5). Suppose 0 = -r + 3*s, 0 = -s - 2 + 3. Solve -z = -r*b + 4 for b.
4
Suppose -2*y + 0 - 4 = -3*l, 4*l - 5 = 3*y. Solve -t + y = 4 for t.
-3
Let g be (3 + -3)*7/(-14). Suppose g = -4*s + 12 - 4. Solve -4*t + s + 2 = 0 for t.
1
Suppose 0*w - 5*w + 25 = 0. Suppose -w*o + 30 = -0*o. Solve -o + 3 = -c for c.
3
Let l(q) = q**2 + 8*q + 6. Let x be l(-6). Let j be -6*4/x + -2. Suppose -v = j*v. Solve -3*k + 4 + 11 = v for k.
5
Let y be (3/(-18))/(-1) - 20/120. Solve y = 4*v + 6 + 2 for v.
-2
Let l be (-6)/15 - (4 - 82/5). Suppose l = -4*z + 24. Solve h + 6 = z*h for h.
3
Suppose -8*s = -2*s - 12. Suppose -2 = -v + s. Solve 0 = 3*l - v*l for l.
0
Suppose 24 = -0*z - 4*z. Let i be (-20)/(-6)*(-45)/z. Suppose 0 = 10*k - 5*k - i. Solve -5 - 5 = -k*v for v.
2
Suppose h - 71 = -2*n, -163 = -4*n + 2*h - 41. Let g = n - 32. Solve -g = -x - 3 for x.
-2
Suppose 6 - 8 = -f. Suppose 2*j - 6 = 2*u, -u + 7 = 5*j - f*u. Solve k + j = -1 for k.
-2
Let d(m) = m**3 + 14*m**2 + 18*m + 31. Let i be d(-13). Let l = -30 - i. Solve -l*y = 1 - 5 for y.
1
Suppose -252 = -10*n + 4*n. Solve -n*w + 44*w = 2 for w.
1
Suppose -10 = -x - 4*x. Suppose -b = -x*b. Suppose b*w + 12 = 4*w. Solve w = -s - 0 for s.
-3
Suppose 0 = -30*g + 199 + 161. Solve -g - 21 = 11*k for k.
-3
Suppose -22*u + 20*u + 8 = 0. Let q be 2*((-55)/(-10) - u). Suppose -79 = -2*m - 2*m - 5*z, -5*m = -3*z - 71. Solve -m = -q*k - k for k.
4
Let p = 6 - 3. Let o be (-16)/(-6) + p/9. Solve o + 7 = -5*f for f.
-2
Let d be -1 - 3/(-2) - 7/14. Solve 0 = j - d*j - 4 for j.
4
Let u = 276 - 261. Solve -12*t - u = 45 for t.
-5
Let s be (3 - 6/3)*2/(-2). Let i(c) be the second derivative of c**4/3 + 2*c**3/3 + 2*c**2 - 6*c. Let x be i(s). Solve -x*n + 8 = -0 for n.
2
Suppose -h - 4*h = -3*u - 38, 2*u + 2 = 0. Suppose -7*p = -40 + 47. Let i be (h - 8)*(p - -1). Solve 2*d + i = -4 for d.
-2
Suppose -3*l = -5*w - 17, -5*l + w + 2*w + 55 = 0. Suppose t + 11 = l. Solve -g - t = -5 for g.
2
Suppose -14*b + 368 = -122. Solve -33 = 2*x - b for x.
1
Let x be ((-3)/(-3))/((-41)/(-205)). Solve -19 = x*c + 1 for c.
-4
Suppose -4 = 2*p - 4*y + 12, -2*p + 2*y = 8. Let z(w) = -w**2 + 6*w + 3. Let j be z(6). Solve k + j = -p*k for k.
-3
Suppose 10*n - 11*n = -51. Solve -4*j - 35 = -n for j.
4
Let t be (-3)/(4/((-40)/(-2))). Let b be -1 - t - (-2 - -1). Solve b + 5 = 5*d for d.
4
Let y(l) = l**2 - l + 3. Let q be y(4). Let n = 17 - q. Solve n*v + v = 0 for v.
0
Suppose -3*f + 4*f = 2. Suppose 2*x - 3*l + 11 = 0, 0*l - 22 = 5*x - f*l. Let j be (x/(-8))/((-3)/(-24)). Solve 4 = 2*p - j*p for p.
-2
Suppose 2*x + 3*y = 27, 5*x = -2*y + 20 + 42. Let f be 2/(-12) - (-134)/x. Let w = f - 9. Solve -w*o + 6 = -0*o for o.
3
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
closest to -4.8? (a) -2/3 (b) 0.4 (c) -3 (d) 0.03 (e) 2/15
c
What is the closest to -0.311 in 0.1, -0.5, -4, -0.1, 6?
-0.5
Which is the nearest to 1? (a) -0.5 (b) 3/5 (c) 0.4 (d) 0.07 (e) -1798
b
Which is the nearest to 7? (a) -5 (b) -8 (c) -7/5 (d) -3/8
d
Which is the nearest to -0.1? (a) -11 (b) -1 (c) -0.5 (d) -0.029 (e) 6
d
Which is the closest to -5? (a) -0.2 (b) 1/5 (c) -0.1 (d) -1 (e) 0.0465
d
What is the closest to 0 in 1.05, 2/5, -2, -34/19?
2/5
What is the nearest to 3 in 2/9, 215, -3?
2/9
What is the nearest to -6 in -1/2, 3/8, 5, 80?
-1/2
Which is the closest to -1/3? (a) 1 (b) 98/11 (c) 2 (d) 4
a
What is the nearest to -3.491 in 14, 2/9, -1/10?
-1/10
Which is the nearest to 1? (a) 0.091 (b) 0.27 (c) 1
c
Which is the nearest to -10.9? (a) -34 (b) -1/8 (c) 1/8
b
Which is the closest to 6? (a) -7 (b) -4 (c) 7 (d) -14
c
Which is the nearest to 2.64? (a) 3 (b) -0.2 (c) -5/3 (d) 2
a
Which is the nearest to -0.1? (a) 2 (b) -4 (c) 5 (d) -0.6 (e) 1213/3
d
What is the nearest to 0 in -290, 27, -2?
-2
Which is the nearest to 0.1? (a) 283 (b) 107 (c) 2/5
c
Which is the closest to -1601? (a) 1.2 (b) 5 (c) -0.3 (d) 4
c
Which is the nearest to -1/2? (a) 1/3 (b) -81 (c) -1/21
c
Which is the closest to 0.22? (a) 101 (b) 2 (c) -0.5 (d) 0.01
d
Which is the nearest to -0.1? (a) -3/44 (b) -0.17 (c) -3 (d) -1
a
Which is the nearest to -2/5? (a) -2 (b) -5/7 (c) -0.4 (d) -18/17 (e) -0.5
c
Which is the nearest to -11/3? (a) 12 (b) -2 (c) -0.4
b
Which is the nearest to 1? (a) -1/7 (b) 2/11 (c) 22 (d) -1442
b
Which is the nearest to 1? (a) -24749 (b) 2 (c) -9/2
b
What is the closest to 1 in -2, 8, 8/11, -5?
8/11
Which is the closest to 0.04? (a) 3 (b) -14 (c) -49
a
What is the closest to -3 in 552, 0.1, -2/3, 3/2, 0.4?
-2/3
What is the nearest to -18 in 1.5, 4, 0, -1/5?
-1/5
What is the closest to -0.0072 in 0.2, -5, -0.3?
0.2
Which is the nearest to 4/5? (a) 2/3 (b) -0.1 (c) -0.4 (d) -22/159
a
Which is the nearest to 4? (a) -0.27 (b) -4 (c) 661
a
What is the closest to 0.1 in 1/2, 0.03, -0.278, 1?
0.03
What is the nearest to 6 in -2/5, 0.083, -2/7?
0.083
Which is the closest to 1? (a) -0.3 (b) 1 (c) -0.12221 (d) 1/2
b
What is the nearest to 2/37 in 5/6, 0.3, 0.154, -55?
0.154
Which is the nearest to 0.2? (a) 1 (b) -4 (c) 9 (d) 2/5 (e) 33/2
d
What is the closest to -2 in 0.3, -1159, 0.4, 2?
0.3
What is the nearest to 1/2 in -14982, 5, 0.22?
0.22
What is the closest to -794 in 2, -5, 5, -0.3, -27?
-27
What is the nearest to 2 in -0.5, -0.2, 72, 14?
-0.2
Which is the nearest to -2/111? (a) 2/11 (b) -25 (c) -2/7
a
Which is the closest to -0.1? (a) 0.1201 (b) 14 (c) -6
a
Which is the nearest to -1? (a) -0.6 (b) 15 (c) -11.1 (d) 2/5 (e) 8
a
What is the nearest to -151.8 in -0.4, 0.4, 3, 0.5, 0.43?
-0.4
What is the closest to -1 in 3/2, 28, 0.5, 0?
0
What is the closest to 3 in -4, 477, -1/11, 0.4?
0.4
Which is the nearest to -0.1? (a) 1 (b) -2/1333 (c) 12/13
b
Which is the nearest to -4? (a) -0.6 (b) -109 (c) 0.1
a
What is the closest to 1803 in 4/5, 4, -22?
4
What is the nearest to 0.1 in 2/7, 67, 5/9, -10?
2/7
What is the nearest to 0 in 22, -141, -3, -0.4?
-0.4
Which is the nearest to -1/3? (a) 0.2 (b) 6.2 (c) -2 (d) -9
a
What is the nearest to 3 in 507, -1, 1/4, 1/3, 2?
2
What is the nearest to -1/4 in 27, 4, 28.7?
4
What is the nearest to 2/5 in -2.524, -0.1, 3?
-0.1
What is the nearest to -8 in 3/5, 0.15, -3/7?
-3/7
Which is the nearest to 8? (a) -0.4 (b) 2 (c) -1399
b
What is the closest to 1 in 0.4, -0.1, -2/3, -795?
0.4
What is the closest to -1/4 in -0.4, 45, -0.3, -0.112?
-0.3
Which is the nearest to 11? (a) 0 (b) 4 (c) -82 (d) -0.1
b
What is the closest to 14/11 in -0.4, 164, -0.3, -0.1?
-0.1
What is the nearest to 0 in -7/2, -5, 0, -100?
0
What is the closest to -252 in 3, 1.4, 0.2?
0.2
Which is the nearest to 1? (a) 2/5 (b) -2.45 (c) 0.1 (d) 4/3
d
Which is the closest to -13? (a) -11 (b) -0.04 (c) 18
a
Which is the closest to -1/8? (a) -0.3 (b) 9 (c) 0 (d) -5
c
Which is the nearest to -1? (a) -0.3 (b) 13 (c) 4 (d) -32/397
a
Which is the closest to 0? (a) 0 (b) 21 (c) 9 (d) -3/25
a
Which is the nearest to -0.1? (a) -5/2 (b) 2/11 (c) -1/118 (d) 37 (e) -1
c
Which is the closest to 2/5? (a) 3 (b) 18/11 (c) -0.3 (d) -8 (e) 2/5
e
What is the closest to 744 in 4, -5, 0.057, -0.1?
4
Which is the nearest to 0.1? (a) -3 (b) 242/51 (c) 1/2 (d) 4
c
Which is the nearest to -92.2? (a) -2 (b) 3 (c) -3 (d) 0.3 (e) 4
c
What is the closest to 0.1 in 3, 2/23, -1.6?
2/23
What is the nearest to -2/5 in -2, -76, -0.1, -6, -0.61?
-0.61
What is the nearest to 2/7 in -1/2, 71, -0.09, 2/7, 5?
2/7
Which is the nearest to -1? (a) 2/165 (b) -2/5 (c) 1/5 (d) 10/21
b
What is the closest to 0 in -0.2, 0, -3, -4534, 2?
0
Which is the nearest to 0? (a) -5/4 (b) -9 (c) -0.0795 (d) 5
c
Which is the closest to -497? (a) -0.1 (b) -3/8 (c) 0
b
What is the closest to 0.1 in 5, 1, -1/4, 6, 0.13?
0.13
Which is the closest to -22? (a) -4 (b) 476.6 (c) 0.3
a
What is the closest to 216 in 2/45, 71, 0.5?
71
Which is the nearest to 1? (a) 3 (b) -2 (c) -0.062 (d) -1/20
d
Which is the closest to 0.2? (a) -0.4 (b) -34 (c) 0.2
c
Which is the closest to 0.49? (a) 0.35 (b) 2/7 (c) -4
a
What is the closest to 1540 in 1, 2/3, 5, -2/13?
5
What is the closest to -1 in 314/55, 0.4, 0.5, 1?
0.4
What is the closest to -0.1 in 5, 113, 17/8, -4/5?
-4/5
Which is the closest to 0.1? (a) 0.21 (b) 20 (c) 0.06
c
Which is the closest to 0.3844? (a) -2 (b) -1/4 (c) -0.4 (d) -0.3
b
What is the nearest to -1/8 in 2/3, -1473, 2/13, -0.5?
2/13
What is the closest to -74/5 in 1/292, -3/4, 5, 1?
-3/4
Which is the nearest to 0? (a) -1 (b) 0.64 (c) -0.11
c
Which is the closest to -0.2? (a) -69/8 (b) 51 (c) 5 (d) 4 (e) -0.2
e
What is the closest to -6/11 in -0.3, 1, 0.4, 5, -0.2?
-0.3
What is the nearest to 1/4 in 165, -3, 8?
-3
What is the nearest to 1616 in 4/5, -3, -0.1?
4/5
What is the closest to -2/13 in 2/19, -7, 4?
2/19
What is the nearest to -0.2 in 4/17, -2, 5.389?
4/17
What is the closest to -0.1 in 0.211, -46, -14?
0.211
What is the closest to -3/2 in 2023, 3, -0.2, -0.3, -3?
-0.3
Which is the nearest to 36? (a) 0.796 (b) 2/7 (c) 0.5
a
Which is the nearest to -2? (a) -2/5 (b) -3/20 (c) -5 (d) 2/13 (e) 0.0937
a
Which is the nearest to -11? (a) -2 (b) -1/5 (c) 1 (d) -0.1 (e) -0.5
a
What is the nearest to -8 in -4, -2/39, 3, -1?
-4
Which is the nearest to -1/2? (a) 9 (b) 1 (c) -0.324
c
Which is the closest to 1? (a) -51 (b) 0.05 (c) 18
b
Which is the closest to 2/3? (a) -0.0089 (b) 3 (c) -41
a
What is the nearest to 0.1 in 922, 0, 3/10, 1/4?
0
What is the closest to -1 in 0.1, 0.4, 4/5?
0.1
Which is the nearest to 0.1? (a) -48 (b) 6 (c) -0.16 (d) -2/3
c
What is the closest to 191 in 2, -3, 0.1, 0.4?
2
Which is the closest to 2? (a) -14 (b) -3 (c) -1 (d) -9
c
What is the nearest to 0 in 2, 1/6, -13, -0.04?
-0.04
Which is the closest to -11? (a) -10 (b) -14 (c) -4 (d) 1
a
What is the nearest to -1 in -0.4, 1/4, 2/2299, -5?
-0.4
Which is the closest to -0.1? (a) -1 (b) -1/4 (c) 69896 (d) -3 (e) -6
b
What is the nearest to 0 in 2/5, 3, -4, -380, -0.5?
2/5
Which is the closest to -2? (a) -58 (b) 0.1 (c) 5.4 (d) -5
b
What is the closest to 5 in 1, -1/11, 121, 3?
3
Which is the nearest to 2? (a) -4 (b) -5.1 (c) 60
a
Which is the closest to -1? (a) 5/3 (b) 49 (c) -5/4
c
Which is the closest to -0.1? (a) 2/3 (b) 0.3 (c) -2936 (d) -2/3
b
What is the closest to -1 in -0.01, -17, -4/5?
-4/5
What is the closest to 2/3 in -1, -157/7, -19?
-1
What is the nearest to -48 in 1/7, 0.1, 4/3?
0.1
What is the nearest to -3 in 0.446, -5, -6, 4/5, -9?
-5
What is the closest to -1 in -29, 4, -0.1, -61?
-0.1
Which is the closest to 0? (a) -2 (b) -215 (c) -96 (d) -0.1
d
What is the nearest to -217 in 3, 9/5, -5?
-5
Which is the closest to -2/7? (a) 0.3 (b) 105 (c) 1647
a
What is the closest to -15545 in 4, 2, -0.4?
-0.4
Which is the nearest to 3? (a) 0.1 (b) -6/29 (c) 7/3
c
What is the nearest to 10281 in 0.3, 4, -4?
4
Which is the closest to 1/294? (a) 1/4 (b) -2 (c) -324
|
{
"pile_set_name": "DM Mathematics"
}
|
87 is divided by m.
7
What is the remainder when 1/(-3)*2*-3 + 94 is divided by 35?
26
Let h be (-27)/(-12) + 2/(-8). Suppose h*i - 120 = -2*i. Let l = -16027 - -16043. What is the remainder when i is divided by l?
14
Suppose 4*t - 2822 = 2*z, 2*z = 4 - 6. Calculate the remainder when t is divided by 71.
66
Let u(i) = i**3 + 10*i**2 - 11*i + 8. Calculate the remainder when 38 is divided by u(-11).
6
Let m = 15 - 8. Suppose 102 = 5*u - 4*f, 4*f - 67 = -4*u - m. What is the remainder when -46*(-3)/2 + 0 is divided by u?
15
Let u(x) = 13*x - 53. Let l be (112/6)/8*3. Calculate the remainder when u(l) is divided by 15.
8
Let f = 1 - 2. Let w be 3/(-1) + f - -10. Suppose -h - 39 = -2*i - 3*i, i - 2*h = w. What is the remainder when 29 is divided by i?
5
Suppose -3*t + 205 = 5*k, k - 3*t - 29 = 30. Calculate the remainder when 212 is divided by k.
36
Suppose 0 = j - 0 - 6. Calculate the remainder when 29 is divided by (5 + -1)*(3/j + 1).
5
Suppose v - 64 = -4*d, 115 = 2*v - d - 40. What is the remainder when v is divided by 26?
24
Let t = 18 - 10. Suppose -7*o - 15*o = -1166. What is the remainder when o is divided by (t/6 + -1)*45?
8
What is the remainder when ((-435)/6)/((-2)/4) is divided by 21?
19
Suppose -25*m - 8*m = -2871. What is the remainder when 168 is divided by m?
81
Let l(v) = v**2 + 9*v + 1. Suppose j - 5*j + 24 = 4*h, h + 5*j = -2. Calculate the remainder when l(h) is divided by 14.
11
Let a = -339 - -660. Calculate the remainder when a is divided by 13.
9
Suppose -58*i + 1472 = -12*i. What is the remainder when 318 is divided by i?
30
Suppose 14*c - 5*c - 729 = 0. Calculate the remainder when c is divided by 42.
39
Let q(h) = -h**2 + 15*h + 97. Let d = 49 + -29. Calculate the remainder when q(15) is divided by d.
17
Suppose 0 = 2*n - 5*n - 4*d + 129, d = 0. Calculate the remainder when 100 is divided by n.
14
Suppose 4*v = 8, -4*n + 0*n = 4*v - 124. Suppose -17 = -4*u - 2*r + 11, -5*r + 16 = u. Let z = 14 - u. What is the remainder when n is divided by z?
5
Suppose 3*v = 0, 4*d - 61 = -4*v + 83. Calculate the remainder when 173 is divided by d.
29
Let a(v) = 15*v**2 - v + 2. Calculate the remainder when a(4) is divided by 30.
28
Let v be (69/21 - 3) + 624/21. Let w = v + -10. What is the remainder when 34 is divided by w?
14
Let t = 12 + -21. Let y = t - -12. Suppose 0 = 3*g - k - 79, 4*g - 35 = -y*k + 79. What is the remainder when g is divided by 10?
7
Let f(j) = 91*j**2 + 72*j - 3. What is the remainder when f(2) is divided by 85?
80
What is the remainder when 80*(36/16 - 0) is divided by 32?
20
Let c(s) = s**3 - 2*s**2 - 3*s - 9. Let i be c(5). Let a = i + -30. Calculate the remainder when 62 is divided by a.
20
Suppose 7*a - 11*a - 12 = 0. Let v be -3 + (-1 - a) + 3. Calculate the remainder when 1 is divided by (7 - 5)/(4 - v).
0
Let o be (-3*3/4)/((-3)/24). Suppose -o = h - 64. What is the remainder when h is divided by 12?
10
Suppose 4*k = 5*f + 9*k - 60, -5*f - 2*k = -69. What is the remainder when 34 is divided by f?
4
Let y(t) = -t**3 - 14*t**2 + 14*t - 15. Let j be y(-15). Suppose j = -w + 17 + 35. Calculate the remainder when w is divided by 18.
16
Suppose 29 + 119 = 4*t. Suppose -1598 = -29*g + 3227 - 707. What is the remainder when g is divided by t?
31
Let y = 193 + -93. What is the remainder when y is divided by 63?
37
Suppose -44 = -2*q + 3*k + 20, -5*q - 2*k = -141. Calculate the remainder when 116 is divided by q.
0
Let u be 2/5 + (-592)/5. Let o = -50 - u. Calculate the remainder when o is divided by (10/4)/(110/616).
12
Let o(t) = 3*t**2 - t - 4. Let k(p) = 5*p**2 - 2*p - 6. Let a(h) = 5*k(h) - 8*o(h). Calculate the remainder when 29 is divided by a(3).
4
Let u = 4990 - 4963. Calculate the remainder when (-22)/(-4)*2*17 is divided by u.
25
Let h be (2 - 14)*1/(-2). Let v = 46 - h. Calculate the remainder when v is divided by 21.
19
Let t = -12 - -23. Suppose 5*m + 3*k = 132, 5*m - 120 - t = -4*k. Suppose -7*a + 7 = -6*a. What is the remainder when m is divided by a?
6
Calculate the remainder when 143 is divided by 39 - (-2 - -6) - -1.
35
Let g = 57 - 37. Suppose -10*m + 14 = -8*m. What is the remainder when g is divided by m?
6
Suppose 0 = 2*y + 2*v - 240, -y - 3*v = -4*y + 378. Calculate the remainder when -3 - -5 - 4/((-12)/y) is divided by 15*(0 + 1 + 0).
13
Let w(o) = o + 16. Let g be w(-11). Let y(a) = g - 6*a + 5 + 5*a. Calculate the remainder when 9 is divided by y(6).
1
Let r(g) = -4*g - 49. Let c(x) = -x + 38. Let z be c(0). Suppose 3*p + p = f - z, 69 = 2*f - p. Calculate the remainder when f is divided by r(-17).
15
Let t = 30 + -7. Suppose -22 = l - 88. What is the remainder when l is divided by t?
20
Suppose 1 = -i + 2, -5*i + 11 = 3*b. Suppose -b*c - 33 = 19. Let m = c - -32. What is the remainder when 29 is divided by m?
5
Let a(m) = -m**3 + 8*m**2 + 6. Let f be a(5). Suppose -2*u = u - f. Calculate the remainder when u is divided by 6/(-9)*6 + 19.
12
Let o(v) = 5*v - 9. Let d = 29 + -40. Let j be ((-2)/3)/(d/99). What is the remainder when 60 is divided by o(j)?
18
Let f(r) = 4*r + 218. Calculate the remainder when 224 is divided by f(-40).
50
Let p(a) = 11*a - 14. Let v be 6/(-39) + 1040/169. Calculate the remainder when 256 is divided by p(v).
48
Suppose 2*m = -2*m + 116. Let f(z) = -20*z - 54. Let i(p) = -7*p - 18. Let k(b) = -6*f(b) + 17*i(b). What is the remainder when m is divided by k(-7)?
7
Let n(j) = j**3 - 12*j**2 + 14*j - 18. Let a be n(11). Let s be (0 - (-2)/3)*3. Suppose 9 = s*r - a. What is the remainder when 23 is divided by r?
11
Suppose -5*o - 4 = -5*m - 19, 2*m = -o. What is the remainder when 23 is divided by o?
1
Let h(s) = -4*s**3 + 2*s**2 + 2*s + 5*s**3 - 4*s**2. Let m(r) = 2*r**2 - 30*r + 3. Let c be m(15). What is the remainder when h(c) is divided by 9?
6
Suppose 2*w + 5*s - 32 = 0, -5*w + 4*w + s = -30. What is the remainder when 68 is divided by (-4 + 2 - 0) + w?
20
Suppose 5*a - 40 = -3*w + 3*a, 3*w + 4*a - 44 = 0. Suppose -4*u + c + 97 = w, -5 = 5*c. Suppose -3*q = 2*q - 195. What is the remainder when q is divided by u?
18
Let v = -5 + 9. Suppose -3*w + 3*u + 21 = 3, -2*w + u + 9 = 0. Suppose 68 = 4*p + 3*f, -w*p = -6*f + f - 22. What is the remainder when p is divided by v?
2
Let a = -59 - -64. Calculate the remainder when a is divided by (6/(-2))/(3/(-2 - 1)).
2
Suppose -80 = 6*f - 10*f. Suppose -21*g = -f*g - 37. What is the remainder when g is divided by 20?
17
Suppose 3*q - 20 = -11. Calculate the remainder when 9 is divided by (21/6 - q)*10.
4
Let g(f) = 77*f - 41*f + 2 - 40*f + 5*f**2. Suppose -4*d = -4*s + 12, 3*s + 2*s - 15 = d. What is the remainder when g(s) is divided by 18?
17
Suppose -52*z - 68 = -56*z. Let u(p) = p**3 - 2*p**2 - 4. Let a be u(3). Suppose -g - a = -2*g. What is the remainder when z is divided by g?
2
Let l(y) = y**2 + 5*y - 1. Let x be l(-6). Suppose 5*g - 217 = -0*g - 2*s, x*g = -5*s + 205. What is the remainder when g is divided by 12?
9
Suppose -4*f + 3*u = 5*u - 372, 4*u + 396 = 4*f. Calculate the remainder when f is divided by 39.
17
Suppose -921 - 159 = -5*z. Let d = z - 78. Calculate the remainder when d is divided by 36.
30
Suppose -3*y + 143 - 26 = 0. What is the remainder when 75 is divided by y?
36
Suppose -4*n + 12 + 4 = 0. Suppose 5*l - 30 = 50. What is the remainder when l + -1 + (0 - 2) is divided by n?
1
Suppose -5*t + 0*t + 285 = 0. Let r = t + -34. Suppose 0 = 9*d - 6*d - i - 206, 0 = -4*d + 3*i + 278. Calculate the remainder when d is divided by r.
22
Let t = -178 - -209. What is the remainder when 710 is divided by t?
28
Suppose 5*n + 205 = 5*r, 5*n = -20 + 45. Suppose -9*u = -7*u - r. What is the remainder when 45 is divided by u?
22
Let n be 38/57 + (-154)/6. Let v = n + 20. Calculate the remainder when 25*((-8)/v + 0) is divided by 14.
12
Suppose 0 = -4*t + 294 + 86. Calculate the remainder when t is divided by 21.
11
Let z be 12/(-1) - -4 - 2. Let k be (-6)/(-10) + 6/z. Suppose 0 = 4*u + 5*s - 379, 3*u + 2*s = -k*s + 293. Calculate the remainder when u is divided by 26.
23
Suppose -d - 10*x + 5*x - 14 = 0, 4*x = 2*d - 28. What is the remainder when 58 is divided by d?
4
Let c(o) be the first derivative of 5*o**3/3 + o**2 + 4*o + 25. Calculate the remainder when c(-2) is divided by 19.
1
Suppose -2*z = p +
|
{
"pile_set_name": "DM Mathematics"
}
|
What are the prime factors of 11483836?
2, 7, 13, 4507
List the prime factors of 1442775257.
7, 11, 23, 116381
What are the prime factors of 2695270409?
13, 207328493
List the prime factors of 4361448286.
2, 13, 6977, 24043
What are the prime factors of 96693248?
2, 94427
What are the prime factors of 134835549?
3, 103, 131, 3331
What are the prime factors of 56041008?
2, 3, 307, 3803
What are the prime factors of 21957171?
3, 7319057
What are the prime factors of 635697592?
2, 17, 19, 37, 61, 109
What are the prime factors of 352315840?
2, 5, 23, 47869
List the prime factors of 205228429.
7, 97, 409, 739
List the prime factors of 317482489.
317482489
What are the prime factors of 1182674117?
433, 2731349
What are the prime factors of 2051990878?
2, 7, 41, 3574897
List the prime factors of 1831308147.
3, 203478683
What are the prime factors of 350316530?
2, 5, 2381, 14713
List the prime factors of 631444375.
5, 773, 1307
What are the prime factors of 140825883?
3, 11, 4267451
List the prime factors of 463410203.
2699, 171697
List the prime factors of 766764005.
5, 7, 17, 227, 811
List the prime factors of 155924359.
107, 521, 2797
List the prime factors of 3016194287.
20261, 148867
List the prime factors of 2807631349.
19, 147770071
List the prime factors of 47127568.
2, 2945473
List the prime factors of 801827797.
17, 19, 2482439
What are the prime factors of 17559954?
2, 3, 975553
What are the prime factors of 67013872?
2, 4188367
List the prime factors of 188198574.
2, 3, 29, 617, 1753
List the prime factors of 842514849.
3, 11, 17, 500603
List the prime factors of 21313006.
2, 11, 13, 74521
What are the prime factors of 4614074?
2, 19, 29, 53, 79
What are the prime factors of 1761674697?
3, 43, 1517377
List the prime factors of 248152066.
2, 193, 642881
What are the prime factors of 8476358?
2, 11, 385289
List the prime factors of 78644130.
2, 3, 5, 23, 293, 389
What are the prime factors of 3239417686?
2, 1619708843
What are the prime factors of 103456332?
2, 3, 7, 281, 487
What are the prime factors of 46167461?
17, 9397
List the prime factors of 2868316337.
2609, 1099393
List the prime factors of 1516365584.
2, 94772849
What are the prime factors of 25771761?
3, 131, 21859
List the prime factors of 1872268399.
419, 4468421
What are the prime factors of 145201014?
2, 3, 7, 164627
List the prime factors of 88119650.
2, 5, 97, 18169
List the prime factors of 22064361.
3, 11, 668617
What are the prime factors of 1157337257?
109, 613, 17321
What are the prime factors of 67294271?
11, 47, 11833
What are the prime factors of 73422460?
2, 5, 19, 47, 4111
What are the prime factors of 65622425?
5, 11, 238627
What are the prime factors of 1425613300?
2, 5, 14256133
List the prime factors of 31608563.
7, 199, 22691
What are the prime factors of 67863358?
2, 33931679
What are the prime factors of 249002131?
7, 919, 38707
What are the prime factors of 6667747257?
3, 349, 6368431
What are the prime factors of 256953046?
2, 7, 18353789
What are the prime factors of 113214286?
2, 56607143
What are the prime factors of 1273798250?
2, 5, 41, 151, 823
List the prime factors of 1641049798.
2, 19, 107, 403603
List the prime factors of 5089911254.
2, 19, 133945033
What are the prime factors of 3315803997?
3, 11, 337, 298157
What are the prime factors of 58338640?
2, 5, 37, 19709
What are the prime factors of 778514514?
2, 3, 269, 482351
List the prime factors of 457927131.
3, 152642377
List the prime factors of 4181144108.
2, 1045286027
List the prime factors of 133420606.
2, 11, 349, 17377
List the prime factors of 7865320.
2, 5, 31, 6343
What are the prime factors of 286185775?
5, 29, 394739
List the prime factors of 153116124.
2, 3, 7, 1822811
List the prime factors of 139379135.
5, 7, 53, 227, 331
What are the prime factors of 2043374886?
2, 3, 7, 1433, 11317
What are the prime factors of 3453632936?
2, 13, 33208009
What are the prime factors of 747471915?
3, 5, 5536829
What are the prime factors of 65199518?
2, 32599759
What are the prime factors of 160837657?
2887, 55711
List the prime factors of 22426126.
2, 11213063
List the prime factors of 689805811.
19, 23, 347, 4549
List the prime factors of 50762418.
2, 3, 7, 929, 1301
What are the prime factors of 46448354?
2, 31, 749167
What are the prime factors of 3939839232?
2, 3, 7, 769, 953
What are the prime factors of 862942268?
2, 37, 5830691
List the prime factors of 2313726031.
2313726031
List the prime factors of 36944925.
3, 5, 263, 1873
List the prime factors of 210241973.
19, 41, 269887
List the prime factors of 89410069.
7, 673, 18979
What are the prime factors of 111040915?
5, 31, 41, 101, 173
What are the prime factors of 183691539?
3, 29, 103, 6833
What are the prime factors of 3884303?
19, 204437
What are the prime factors of 1003019221?
1003019221
List the prime factors of 321589069.
321589069
List the prime factors of 107325488.
2, 17, 394579
List the prime factors of 44978617.
17, 919, 2879
What are the prime factors of 773897167?
773897167
What are the prime factors of 8840647265?
5, 1237, 1429369
What are the prime factors of 508629894?
2, 3, 449, 188801
What are the prime factors of 1336694872?
2, 167086859
List the prime factors of 100776106.
2, 50388053
What are the prime factors of 192061825?
5, 2689, 2857
What are the prime factors of 174297188?
2, 13, 3351869
List the prime factors of 70908008.
2, 8863501
What are the prime factors of 950650484?
2, 7, 19, 1786937
What are the prime factors of 1014939226?
2, 7, 19, 409, 491
List the prime factors of 410450292.
2, 3, 7, 31, 52541
What are the prime factors of 499431646?
2, 7, 2879, 12391
List the prime factors of 551972499.
3, 13, 223, 63467
List the prime factors of 1274017832.
2, 79, 2015851
What are the prime factors of 4991141305?
5, 97, 10291013
List the prime factors of 41535368.
2, 7, 19, 103, 379
What are the prime factors of 473072976?
2, 3, 3285229
List the prime factors of 42675459.
3, 14225153
What are the prime factors of 126629348?
2, 31657337
List the prime factors of 1320379756.
2, 4603, 71713
List the prime factors of 4221313937.
60101, 70237
What are the prime factors of 952911340?
2, 5, 41, 73, 15919
What are the prime factors of 518803859?
7, 74114837
List the prime factors of 2993234409.
3, 11, 173, 174767
What are the prime factors of 569273715?
3, 5, 727, 17401
What are the prime factors of 35610887?
13, 2739299
List the prime factors of 995357275.
5, 11, 19, 197, 967
What are the prime factors of 463335269?
31, 14946299
What are the prime factors of 3678311853?
3, 408701317
What are the prime factors of 295621410?
2, 3, 5, 7, 28729
What are the prime factors of 209605542?
2, 3, 613, 56989
What are the prime factors of 1889416890?
2, 3, 5, 17, 239, 5167
What are the prime factors of 48214423?
271, 177913
What are the prime factors of 246349132?
2, 647, 95189
What are the prime factors of 54359923?
54359923
List the prime factors of 3531519297.
3, 41, 773, 4127
List the prime factors of 33487543.
33487543
What are the prime factors of 6784918?
2, 7, 83, 5839
List the prime factors of 45554126.
2, 2719, 8377
What are the prime factors of 980221469?
241, 4067309
List the prime factors of 893973969.
3, 7, 499, 9479
List the prime factors of 110141000.
2, 5, 83, 1327
What are the prime factors of 2665379949?
3, 888459983
What are the prime factors of 22008302?
2, 17, 647303
List the prime factors of 31536518.
2, 13, 1212943
List the prime factors of 724616608.
2, 22644269
List the prime factors of 4986918535.
5, 23, 211, 205519
What are the prime factors of 1011323612?
2, 13, 29, 670639
What are the prime factors of 476800220?
2, 5, 13, 239, 7673
What are the prime factors of 15213146?
2, 13, 293, 1997
What are the prime factors of 52003655?
5, 11, 945521
What are the prime factors of 57707762?
2, 7, 79, 52177
What are the prime factors of 929533494?
2, 3, 43, 61, 59063
List the prime factors of 274937343.
3, 37, 2476913
What are the prime factors of 522638511?
3, 174212837
List the prime factors of 891993066.
2, 3, 89, 1670399
List the prime factors of 1769299338.
2, 3, 29, 10168387
What are the prime factors of 46917353?
7, 31, 67, 461
What are the prime factors of 385633559?
17, 3877, 5851
What are the prim
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of 474 and 78?
6
Calculate the highest common divisor of 42 and 70.
14
What is the highest common divisor of 38 and 513?
19
What is the greatest common divisor of 13 and 13?
13
What is the greatest common divisor of 39 and 21?
3
Calculate the highest common divisor of 8 and 8104.
8
Calculate the highest common factor of 505 and 303.
101
Calculate the greatest common divisor of 34 and 8.
2
What is the greatest common divisor of 10 and 605?
5
What is the highest common divisor of 66 and 10?
2
Calculate the greatest common factor of 87 and 406.
29
Calculate the highest common factor of 123 and 109101.
123
What is the greatest common factor of 438 and 2482?
146
Calculate the highest common factor of 1122 and 68.
34
Calculate the highest common divisor of 54 and 36.
18
What is the highest common divisor of 406 and 98?
14
What is the greatest common factor of 15 and 21?
3
Calculate the greatest common divisor of 369 and 1143.
9
What is the highest common factor of 16184 and 1445?
289
Calculate the highest common divisor of 1242 and 12.
6
What is the greatest common factor of 187 and 2176?
17
What is the highest common divisor of 43 and 2150?
43
Calculate the greatest common divisor of 84 and 36750.
42
Calculate the greatest common divisor of 1386 and 18.
18
What is the highest common factor of 150 and 250?
50
Calculate the highest common factor of 28 and 3584.
28
What is the highest common divisor of 10 and 2608?
2
What is the highest common factor of 16 and 20?
4
What is the greatest common divisor of 792 and 936?
72
What is the highest common factor of 6809 and 11?
11
Calculate the greatest common divisor of 3657 and 46.
23
Calculate the greatest common divisor of 12 and 2316.
12
What is the greatest common divisor of 288 and 9?
9
Calculate the highest common divisor of 143 and 7722.
143
What is the greatest common divisor of 2870 and 210?
70
What is the greatest common factor of 8 and 568?
8
What is the greatest common divisor of 8099 and 7?
7
Calculate the highest common factor of 4096 and 64.
64
What is the greatest common factor of 483 and 21?
21
What is the greatest common factor of 25 and 50?
25
Calculate the greatest common divisor of 11277 and 63.
63
What is the greatest common divisor of 272 and 119?
17
Calculate the highest common factor of 936 and 104.
104
What is the greatest common factor of 164 and 123?
41
Calculate the highest common divisor of 1007 and 159.
53
Calculate the greatest common factor of 16 and 2096.
16
Calculate the greatest common divisor of 12 and 11796.
12
Calculate the highest common divisor of 51 and 3.
3
Calculate the greatest common divisor of 6 and 69.
3
Calculate the greatest common factor of 3249 and 81.
9
What is the highest common factor of 136 and 119?
17
Calculate the greatest common divisor of 1188 and 492.
12
Calculate the highest common divisor of 80 and 2.
2
What is the greatest common factor of 50 and 175?
25
What is the greatest common divisor of 171 and 9?
9
Calculate the highest common factor of 279 and 7.
1
What is the highest common factor of 299 and 23?
23
What is the highest common factor of 14 and 574?
14
Calculate the greatest common factor of 414 and 3450.
138
What is the highest common factor of 2 and 512?
2
Calculate the greatest common divisor of 1460 and 219.
73
Calculate the greatest common divisor of 64 and 1792.
64
What is the greatest common divisor of 66 and 48?
6
Calculate the highest common factor of 153 and 9.
9
What is the highest common divisor of 8192 and 40?
8
What is the greatest common divisor of 176 and 121?
11
Calculate the greatest common divisor of 247 and 65.
13
What is the greatest common divisor of 21868 and 71?
71
What is the greatest common factor of 2704 and 88?
8
Calculate the highest common factor of 21 and 2408.
7
Calculate the highest common divisor of 48 and 12.
12
Calculate the greatest common divisor of 363 and 5676.
33
What is the greatest common divisor of 294 and 154?
14
What is the greatest common factor of 22 and 374?
22
What is the highest common factor of 5 and 3715?
5
Calculate the greatest common divisor of 5 and 1135.
5
What is the highest common divisor of 1425 and 525?
75
Calculate the greatest common divisor of 50 and 250.
50
Calculate the highest common divisor of 30 and 502.
2
What is the greatest common divisor of 105 and 885?
15
What is the highest common divisor of 46 and 1978?
46
What is the greatest common divisor of 98 and 1022?
14
What is the highest common factor of 105 and 60?
15
Calculate the greatest common factor of 190 and 1045.
95
Calculate the highest common factor of 54 and 594.
54
Calculate the greatest common divisor of 444 and 1184.
148
Calculate the highest common divisor of 11 and 2167.
11
Calculate the highest common factor of 3211 and 133.
19
What is the highest common factor of 24 and 4506?
6
Calculate the greatest common factor of 6106 and 142.
142
What is the highest common divisor of 117 and 1157?
13
Calculate the highest common divisor of 60 and 1200.
60
Calculate the highest common factor of 105 and 20985.
15
What is the greatest common factor of 136 and 48?
8
Calculate the greatest common factor of 232 and 8.
8
Calculate the highest common factor of 256 and 16.
16
What is the greatest common factor of 512 and 704?
64
What is the highest common factor of 1 and 263?
1
What is the highest common divisor of 3321 and 123?
123
Calculate the greatest common factor of 306 and 126.
18
What is the greatest common divisor of 264 and 816?
24
Calculate the greatest common factor of 12 and 732.
12
Calculate the greatest common divisor of 248 and 32.
8
What is the highest common factor of 3818 and 166?
166
What is the greatest common factor of 44 and 3828?
44
Calculate the greatest common factor of 722 and 323.
19
Calculate the highest common divisor of 1400 and 224.
56
What is the highest common divisor of 96 and 8?
8
What is the greatest common factor of 45 and 1740?
15
What is the greatest common factor of 1332 and 1152?
36
Calculate the greatest common divisor of 60 and 5170.
10
Calculate the greatest common factor of 11 and 1507.
11
Calculate the greatest common divisor of 928 and 32.
32
Calculate the highest common factor of 798 and 420.
42
Calculate the greatest common factor of 1073 and 319.
29
What is the highest common divisor of 2219 and 1268?
317
What is the greatest common divisor of 14 and 42?
14
What is the greatest common divisor of 357 and 21?
21
Calculate the greatest common divisor of 234 and 558.
18
Calculate the highest common divisor of 4 and 23.
1
What is the greatest common factor of 25 and 28850?
25
What is the highest common divisor of 1955 and 595?
85
What is the highest common factor of 1308 and 12?
12
What is the highest common factor of 345 and 17135?
115
Calculate the highest common divisor of 29 and 551.
29
Calculate the highest common divisor of 448 and 56.
56
Calculate the greatest common divisor of 146 and 7738.
146
What is the highest common factor of 4 and 1?
1
What is the greatest common factor of 34 and 323?
17
Calculate the greatest common factor of 35 and 966.
7
What is the highest common factor of 4215 and 105?
15
What is the greatest common divisor of 455 and 665?
35
Calculate the highest common divisor of 182 and 208.
26
Calculate the highest common factor of 6286 and 7.
7
What is the greatest common divisor of 8918 and 26?
26
What is the highest common factor of 244 and 12?
4
What is the greatest common divisor of 462 and 70?
14
What is the greatest common factor of 605 and 110?
55
What is the highest common factor of 964 and 16147?
241
Calculate the highest common factor of 5710 and 6.
2
What is the greatest common divisor of 22 and 176?
22
What is the greatest common factor of 3168 and 627?
33
What is the greatest common factor of 18 and 54?
18
What is the highest common divisor of 34 and 68?
34
What is the greatest common divisor of 56 and 520?
8
What is the highest common divisor of 120 and 16?
8
Calculate the greatest common factor of 14 and 1169.
7
What is the greatest common factor of 56 and 35?
7
Calculate the greatest common factor of 72 and 54.
18
What is the highest common factor of 26 and 234?
26
Calculate the greatest common factor of 5604 and 12.
12
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
es 0.3?
0.022197
1659 * 0.081
134.379
What is the product of -0.5 and 0.94?
-0.47
What is 20597 times 16?
329552
What is 342 times -0.03?
-10.26
Multiply 65 and -547.
-35555
6 * -0.0224
-0.1344
Calculate -1972*0.003.
-5.916
0.008*0.0604
0.0004832
Work out -241070 * -0.5.
120535
Calculate -631*-0.566.
357.146
Work out -25587 * 0.5.
-12793.5
Work out -225 * -3.549.
798.525
Work out 91.273 * 3.
273.819
Work out -2.6 * -1945.6.
5058.56
-631.7 * -0.133
84.0161
Work out 962404 * 0.1.
96240.4
-62 times 10.6
-657.2
Work out 4723812 * 0.1.
472381.2
-0.03*1.0554
-0.031662
5265*2.9
15268.5
What is 3202 times -2.6?
-8325.2
Calculate 0.02*0.31518.
0.0063036
What is -5 times 0.040402?
-0.20201
6*115.29
691.74
Product of 0 and -28060.
0
156 times -557
-86892
-0.031 times 1388
-43.028
What is the product of 0.02 and -228817?
-4576.34
-500621 times -0.5
250310.5
-8.3 * 1.09
-9.047
764 * -23
-17572
Product of 35.7346 and 1.
35.7346
Multiply 109.8 and -747.
-82020.6
76.36 times -11
-839.96
Work out 0.1232 * 145.
17.864
What is 31.4 times -0.345?
-10.833
139 * 0.5447
75.7133
1 * -0.626298
-0.626298
What is the product of 5517.5 and -2?
-11035
3066556*-0.2
-613311.2
-14746 times -0.2
2949.2
Calculate -0.1189*0.17.
-0.020213
Work out -396 * 437.
-173052
0.29 times -11.8646
-3.440734
What is -309.06 times -2?
618.12
337576*-4
-1350304
Calculate -33.15*-12.
397.8
Multiply 527491 and 0.3.
158247.3
Calculate 2757.7*0.5.
1378.85
What is the product of 4 and 166.3?
665.2
What is -0.54 times -640.63?
345.9402
-335968.5 * 0.5
-167984.25
Calculate -1.6525*4.
-6.61
What is -0.05 times 15.546?
-0.7773
Calculate -290670*2.
-581340
Calculate 152*-238.
-36176
What is the product of 0.2 and -2616.7?
-523.34
Product of 57336 and 0.27.
15480.72
-52.1 * 0.1
-5.21
Multiply 1.4 and -127633.
-178686.2
Work out 0.34401 * 0.02.
0.0068802
-4.01*-0.123
0.49323
Multiply 26 and 335.
8710
1 * 5339.1
5339.1
Product of 707.83 and -5.1.
-3609.933
What is 2730 times -0.0888?
-242.424
Calculate 0.06902*-48.
-3.31296
-5353*-0.37
1980.61
1168.71*1
1168.71
-3 times 0.5687
-1.7061
Work out 83459 * 5.
417295
What is -817.052 times -0.4?
326.8208
Calculate -31.81*1494.
-47524.14
Multiply -307.72 and -8.
2461.76
Multiply 0.2 and -4.9119.
-0.98238
What is 229006 times 0?
0
What is the product of 4 and -22296?
-89184
-0.006766 * 6.4
-0.0433024
Product of 5 and -22473.
-112365
Calculate 0.1*83292.
8329.2
Work out -0.5 * 334.071.
-167.0355
12263*2
24526
-5*-3407.8
17039
What is 3839.78 times -5?
-19198.9
-1212.8 * 0.13
-157.664
Calculate -1.592*3782.
-6020.944
Product of 13.7359 and 1.
13.7359
What is the product of -4.60689 and -2?
9.21378
1269 times 0.335
425.115
Calculate -144566*-6.
867396
What is the product of -8 and 4303?
-34424
Work out -33 * 26.
-858
-0.2*-6865.3
1373.06
What is the product of -0.2 and 0.10531?
-0.021062
Product of 38.918 and 3.
116.754
Product of -33683 and -0.4.
13473.2
What is the product of -67 and 98.59?
-6605.53
What is the product of 1.147 and 1607?
1843.229
496.45*0.4
198.58
Calculate 23.3606*5.
116.803
What is -0.795 times -0.16?
0.1272
What is the product of 3081 and -6?
-18486
Calculate 0.2*-4.25.
-0.85
Product of 0.2 and 135989.
27197.8
What is 1218 times 2.7?
3288.6
What is the product of -0.21 and -58652?
12316.92
Work out 563 * -0.04.
-22.52
-0.057*-1216
69.312
-120.7 * 303
-36572.1
Multiply -7302 and 0.14.
-1022.28
-431.49 times 0.3
-129.447
Work out -25 * 537.
-13425
What is the product of -0.4 and 0.09639?
-0.038556
Multiply -0.02 and -184.28.
3.6856
9614*30
288420
Calculate -0.3*562012.
-168603.6
-92 times -481
44252
What is 1428 times -131.2?
-187353.6
26.165*-0.2
-5.233
What is -8 times 168.766?
-1350.128
-0.3*7257
-2177.1
0.067 * 239.6
16.0532
What is the product of 10 and 6.2044?
62.044
407 * 48.7
19820.9
652537 * 3
1957611
What is 25983.9 times 6?
155903.4
What is -4293 times 1218?
-5228874
-223 times -153
34119
Multiply 5 and -2.72.
-13.6
Product of 0.2 and 2103.9.
420.78
What is 0.5 times 505967?
252983.5
Work out 0.9662 * -2.
-1.9324
39*11379
443781
What is the product of -12 and -95?
1140
-4515 * 1152
-5201280
Multiply -2 and 9959.
-19918
Product of -16 and -58924.
942784
3224 * 1.828
5893.472
Work out 3 * 8642.
25926
-3*0.0526
-0.1578
0.13716*-7.2
-0.987552
13538 * -4
-54152
What is -24919 times -0.2?
4983.8
Calculate 0.3*58623.
17586.9
Work out -20762 * 0.05.
-1038.1
-12 times -111046
1332552
Product of 497857 and -5.
-2489285
Work out 15 * -1287.4.
-19311
-12*23.356
-280.272
Work out -0.3 * -14315.
4294.5
3*-371237
-1113711
-1014390 * 2
-2028780
What is the product of 390905 and 0.5?
195452.5
What is -1.2 times 2499?
-2998.8
Work out -17.296 * -0.4.
6.9184
What is the product of 2 and -9363?
-18726
Work out 40504 * -0.05.
-2025.2
Work out -23846.26 * 5.
-119231.3
What is -0.3 times -234088?
70226.4
0.18*-3.7
-0.666
What is -79.2 times 5.12?
-405.504
-3 * -2656.36
7969.08
1.9 times 821
1559.9
279716.7 times -0.1
-27971.67
Multiply 0.53 and 5560.
2946.8
Work out -714995 * 0.
0
-506*-0.222
112.332
What is the product of 1.2 and -29?
-34.8
Calculate 1.066*-123.
-131.118
0.78*0.5073
0.395694
Multiply -0.2402 and -3.1.
0.74462
What is 270.8 times 0.081?
21.9348
-2.875 * 4
-11.5
915*139
127185
What is the product of -4 and 8453?
-33812
Work out 7 * 6379.
44653
Work out -1.7 * -4.873.
8.2841
Multiply -19144.5 and 6.
-114867
-45.16281*-0.1
4.516281
-0.4 * -7996
3198.4
What is -52 times 364.4?
-18948.8
1 times -2520.9
-2520.9
-1.2311 times 0.5
-0.61555
1.23*-2.368
-2.91264
1219 times -1.4
-1706.6
-43*1.699
-73.057
Calculate 0.50082*4.
2.00328
What is 0.5 times -1112?
-556
Product of -10499 and -170.
1784830
153*-11.47
-1754.91
-123783*0.4
-49513.2
Multiply 92 and -0.5.
-46
-0.55*-0.193
0.10615
What is 740 times -0.24?
-177.6
Multiply -72 and 12.6.
-907.2
Calculate -0.0104*1.
-0.0104
Calculate 0.4*39.026.
15.6104
What is the product of -511 and 43?
-21973
What is -0.02 times -335732?
6714.64
Work out 2 * -5347.
-10694
Work out 451.3 * 1.
451.3
-0.3 * -0.79326
0.237978
Product of 0.2 and 1289.68.
257.936
Work out -0.2 * 6.24647.
-1.249294
Work out 0.1 * 5.062.
0.5062
Product of 108 and -12356.
-1334448
Product of -40043 and -2.
80086
Product of -0.3 and 2288802.
-686640.6
Work out 94 * -0.424.
-39.856
What is 3 times -267.823?
-803.469
Work out 6056 * 198.
1199088
Product of 233 and 6009.
1400097
-3 * -77355
232065
Multiply -4 and -15.581.
62.324
69.7*0.0983
6.85151
-13682 times 3
-41046
Multiply 0.18546 and 0.42.
0.0778932
-8.5913*-2
17.1826
-3 times -687107
2061321
-32334 times 0
0
3664 times -0.5
-1832
Calculate 0.02754*10.1.
0.278154
Work out -22 * 0.01541.
-0.33902
Work out 73 * 244.
17812
-272 * 0.0344
-9.3568
Calculate 27*-14960.
-403920
-1.26 times 2882
-3631.32
What is the product of 1181 and -0.144?
-170.064
Multiply 0.5 and -63931.
-31965.5
72171 * -3
-216513
Product of -1 and 31.8822.
-31.8822
What is 2.4 times -827?
-1984.8
Multiply 0.2 and 3236.
647.2
What is the product of 0.2 and -0.9236?
-0.18472
Work out -1253 * -0.14.
175.42
Product of -0.02924 and 3.
-0.08772
What is -417 times 1.2?
-500.4
-295*12.7
-3746.5
-4.83258 * -0.4
1.933032
-2 times 77047
-154094
What is the product of 5 and -12.226?
-61.13
Multiply -1975 and -221.2.
436870
Multiply 3985 and 2.6.
10361
What is the product of -0.5 and -5815?
2907.5
Multiply 0.1072 and 17.
1.8224
What is the product of 1 and -7297.5?
-7297.5
What is the product of 628 and 0.1156?
72.5968
What is the product of 71619 and -7?
-501333
Multiply 50608 and 0.2.
10121.6
Product of 5 and 21723.
108615
What is -221 times -4.6?
1016.6
Work out -0.0941 * 2.1.
-0.19761
What is 1.38 times 2736?
3775.68
1 times 20654
20654
What is the product of -103.9 and -0.141?
14.6499
Product of -99 and -500.
49500
-0.2 times -75028
15005.6
What is 8 times -0.5912?
-4.7296
-50*1553
-77650
-130.56*-0.2
26.112
-41.2*31
-1277.2
Calculate 49*-1153.
-56497
3 times -70.72
-212.16
What is the product of 5 and -4.07855?
-20.39275
5 times 53.59
267.95
Multiply -2.4 and -7.71.
18.504
What is the product of -50698 and -30?
1520940
0.4 * -4601
-1840.4
Calculate 7.714*-0.4.
-3.0856
0.3*0.273926
0.0821778
Product of -0.57 and -110.45.
62.9565
0.3 times -8847
-2654.1
0.07*23.5881
1.651167
Work out -1349 * 740.
-998260
Work out -54 * -2.8.
15
|
{
"pile_set_name": "DM Mathematics"
}
|
7. Let u(t) = -166*t. Determine u(q(p)).
-4316*p
Let s(t) = 23*t**2 + 3*t - 3. Let n(m) = 2*m**2 + m - 1. Let z(b) = 3*n(b) - s(b). Let l(j) = 119*j. Calculate z(l(u)).
-240737*u**2
Let i = -88 - -90. Let x(a) = -14*a + 0*a + i*a + 4*a. Let n(q) be the first derivative of q**3 + 2. Determine n(x(h)).
192*h**2
Let u(l) = 8*l. Let n(y) be the first derivative of 49*y**2/2 + 975. Calculate u(n(k)).
392*k
Let r(u) be the third derivative of u**5/30 - 6*u**2 - 17*u. Let k(x) = x - 926. Determine r(k(s)).
2*s**2 - 3704*s + 1714952
Let z(o) be the first derivative of 3*o**2/2 + 2. Let l(x) be the second derivative of -31*x**3/6 - 58*x. Give l(z(w)).
-93*w
Let w(p) = -3*p**2 + 4*p**2 - 3*p**2. Let a(z) be the first derivative of 56*z**2 - 24901. Calculate a(w(v)).
-224*v**2
Let y(w) = -273*w**2. Let m(p) = 7*p + 18. Let u(c) = -17*c - 45. Let r(a) = 5*m(a) + 2*u(a). Calculate y(r(o)).
-273*o**2
Let t(c) = 2*c**2. Let y(w) = -116*w + 21. Let d(j) = 13*j + 2. Let z(s) = 7*d(s) + y(s). Give t(z(p)).
1250*p**2 - 3500*p + 2450
Let s(y) = 2*y. Let z be 938/12 + 8/(-48). Let m = -20 + z. Let j(i) = -58 + m - 3*i. Calculate s(j(x)).
-6*x
Let t(x) be the first derivative of -11*x**3 - 58*x - 2959. Let m(h) = 2*h. What is t(m(j))?
-132*j**2 - 58
Let g(n) = -4*n**2. Let h(f) = -596*f**2 + 1778*f**2 - 595*f**2 - 597*f**2. What is h(g(j))?
-160*j**4
Let b(z) = 3*z. Let r(w) = 12430*w - 11. Determine b(r(g)).
37290*g - 33
Let b(w) = -2*w**2. Let c(y) = 24540624*y**2. What is c(b(f))?
98162496*f**4
Let h(d) = 20394832*d - 20394832*d + 2*d**2. Let f(i) = 92*i**2 - 356*i**2 - 430*i**2. Determine f(h(z)).
-2776*z**4
Let d(g) = -17250547*g. Let t(z) = -z. Give t(d(w)).
17250547*w
Let v(b) = b. Let j(r) = -4*r**2 - 160*r + 7. Let i = -160 - -155. Let w(z) = 3*z**2 + 107*z - 5. Let f(p) = i*j(p) - 7*w(p). Give v(f(s)).
-s**2 + 51*s
Let v(q) = 2*q. Let g = 634 - 634. Let x(b) = 4*b - b - 29*b**2 + 0 + g - 20*b**2. Give v(x(s)).
-98*s**2 + 6*s
Let a(y) = -24*y. Let c be 3 + 2 - (0 + 3). Let q(z) = -164*z**2 + 81*z**c + 80*z**2. Give a(q(t)).
72*t**2
Let o(h) be the first derivative of 109*h - 10 - 31 + 8*h**2 - 109*h. Let f(q) = 2*q**2. What is f(o(x))?
512*x**2
Suppose 0 = -28*o + 613 + 1095. Let k(m) = 9*m - 4*m - o*m. Let i(x) = -6*x**2. What is k(i(l))?
336*l**2
Let q(t) = 4*t. Let o(p) be the second derivative of -5*p**3 + p**2 + 2537*p. Give q(o(k)).
-120*k + 8
Let w(f) = -81*f - 78*f + 402*f - 82*f - 84*f - 83*f. Let o(l) = 4*l**2 + l**2 + 6*l**2. Give w(o(x)).
-66*x**2
Let y(i) = 86*i**2 + 64*i + 46. Let h(s) = s**2. What is y(h(t))?
86*t**4 + 64*t**2 + 46
Let i(p) = -4*p**2. Suppose 29 + 13 = 6*y. Let q(g) = -5*g + 54*g - y*g. Determine i(q(n)).
-7056*n**2
Let b(l) = 2*l**2 + 7. Let c(z) = -2*z - 5. Let x(u) = -u - 3. Let y = 26 + -23. Suppose -12 = 3*f, -t = y*t - 5*f. Let n(a) = t*x(a) + 3*c(a). What is n(b(s))?
-2*s**2 - 7
Let f(x) = 2*x**2. Let d(j) be the first derivative of 47*j**3/6 - j**2/2 - 142*j + 94. Let w(q) be the first derivative of d(q). What is w(f(h))?
94*h**2 - 1
Let w(t) = -t. Let i(f) = 65901911*f**2. Give i(w(c)).
65901911*c**2
Let d(w) be the first derivative of 9 - 1 + 1 + 2 + 3*w**3. Let u(r) = 16*r**2 - 4. Let n(i) = 19*i**2 - 5. Let x(f) = 4*n(f) - 5*u(f). What is x(d(s))?
-324*s**4
Suppose 0*v = -2*v + 4*o + 22, 8 = v - 3*o. Let l(r) = -11*r + v*r - 7*r. Let p(d) = 54 - 105 + 14*d**2 + 51. Determine l(p(b)).
-14*b**2
Let j(x) = 19*x + 4. Let d(q) = -5*q**2 + 1462*q + 1. Calculate d(j(b)).
-1805*b**2 + 27018*b + 5769
Let y(t) = 293 - 559 + 4*t**2 + 266 + t**2. Let v(x) = -3*x**2 - 22. Give v(y(u)).
-75*u**4 - 22
Let x(w) = 4*w**2. Let s(y) be the third derivative of 0 - 23/24*y**4 + 15*y**2 - 1/6*y**3 + 0*y. Give s(x(i)).
-92*i**2 - 1
Let o(t) = -118*t**2 - 2. Let r be 58/203 - (-33)/7. Let h(d) = 2*d**2 + 8. Let l(m) = m**2 + 5. Let b(y) = r*h(y) - 8*l(y). Determine b(o(a)).
27848*a**4 + 944*a**2 + 8
Let s be (-3)/4*(-86 + 74). Let j(b) = 70*b - s*b + 32*b + 16*b - 13*b. Let i(q) = 3*q**2. Calculate j(i(g)).
288*g**2
Let v(i) = -21*i + 54*i**2 - 87*i**2 + 42*i - 21*i. Let p(h) = -5*h**2 + 4*h**2 - 2*h**2. Calculate p(v(s)).
-3267*s**4
Let n(z) = -12*z**2. Let i(x) = -x**2. Let f be (1 + (-6)/(-24))/(3/(-36)). Let k(r) = f*i(r) + n(r). Let h(v) = 19*v**2. Give k(h(a)).
1083*a**4
Let r(k) = -152*k - 226*k + 3 - 3. Let t(m) = -6*m - 1. Let o(z) = 28*z + 5. Let u(f) = o(f) + 5*t(f). Give r(u(g)).
756*g
Let y(x) be the first derivative of -2*x**3/3 - 48. Let p(z) be the first derivative of 5 - 3 - 1 - 40*z**2 + 39*z**2. Give p(y(o)).
4*o**2
Let r(x) be the third derivative of x**5/60 + 2*x**2 + 394*x. Let n(l) be the first derivative of -l**3 + 10*l + 127. Determine n(r(z)).
-3*z**4 + 10
Let b(x) = -3*x**2. Let a(y) be the second derivative of 7*y**4/12 + 40*y**2 + 51*y + 1. Let h(s) be the first derivative of a(s). Calculate b(h(c)).
-588*c**2
Let a(u) = 12*u - 37*u + 3*u + 17*u. Let k(i) = 3*i**2 + 37*i. What is k(a(y))?
75*y**2 - 185*y
Let o = 245 + -243. Let i(j) = 80 - 22 + 7*j**o - 49. Let x(w) = -2*w**2. Give i(x(t)).
28*t**4 + 9
Let f(t) = -36*t - 17. Let g(x) = -130 - 126 + 380 - 124 - x. Give f(g(r)).
36*r - 17
Let c(t) = -t**2. Suppose 0 = 3*q + 5*u - 73, 0 = -5*q - 3*u + 104 + 7. Let s(r) = -43 - q*r**2 + 115*r**2 + 43. Give c(s(k)).
-8836*k**4
Let g(m) = -38406*m**2. Let d(f) = -85*f**2. Determine d(g(w)).
-125376771060*w**4
Let t(o) = 4*o - 328. Let a(j) = -10*j - 311. Give t(a(x)).
-40*x - 1572
Let p(t) = -940130*t**2. Let q(n) = -2*n. Calculate q(p(x)).
1880260*x**2
Let y(o) be the second derivative of -o**3/3 + 6*o. Let m(x) = -13*x + 60. Let q(n) = -2*n + 15. Let r(c) = -m(c) + 4*q(c). Give r(y(s)).
-10*s
Let a(i) = i**2 + 2*i + 68. Let z(k) = 2*k**2 + 5*k + 170. Let g(n) = -10*a(n) + 4*z(n). Let x(q) = 389*q**2. What is g(x(m))?
-302642*m**4
Let t(d) = d**2 + 7*d - 118. Let q be t(-15). Suppose f = -9*m + 4*m, 0 = 3*f + m. Let b(h) = 2*h + h - q*h + f*h. Let k(x) = -21*x. Give k(b(a)).
-21*a
Let v(x) be the first derivative of -x**2 - 9. Let n(l) be the first derivative of 37*l**3/3 - 142. What is n(v(g))?
148*g**2
Let v(c) be the third derivative of -7*c**5/60 - 2*c**2 + 2*c + 15378. Suppose 2*u + 2 = 3*u. Let l(x) = -u*x + 0 + 0. Calculate v(l(a)).
-28*a**2
Let j(d) = -5*d. Let u = 95 + -93. Suppose 0*f + 2*m + 8 = 4*f, 0 = -u*f + 2*m + 4. Let n(t) = -4663 + 4663 - t**f. Give j(n(x)).
5*x**2
Let n(w) = -7*w. Let o(i) be the third derivative of -3*i**4/2 - i**3/3 - 28*i**2 - 10. Determine n(o(f)).
252*f + 14
Let q(o) = -237 - 163*o**2 - 238 + 161*o**2 + 475. Let l(u) = 5*u + 13. Calculate q(l(b)).
-50*b**2 - 260*b - 338
Let s(f) = -29*f - 4. Let z(x) = 41*x + 6. Let b(r) = -4*s(r) - 3*z(r). Let g(c) = -9*c**2. Determine b(g(q)).
63*q**2 - 2
Let y(p) = 44*p**2. Let w(j) = 16625 - 32*j**2 - 16625. What is y(w(v))?
45056*v**4
Let k(w) = 16*w - 4. Let l(s) = 8*s - 2. Let t(n) = 2*n**2 + 14*n + 5. Let y be t(-7). Let f(o) = y*l(o) - 2*k(o). Let q(u) = 4*u**2. Give q(f(g)).
256*g**2 - 128*g + 16
Suppose 2*b = -3*j - 2*j - 16, -b - 3*j - 10 = 0. Let g(r) = r**2 - 12*r**2 + 16*r**b. Let s(w) = -26*w**2. Give s(g(i)).
-650*i**4
Let u(r) = -4*r**2. Let w(f) = -17*f - 484*f**2 + 475*f**2 - 17*f. Let n(s) = s**2 + 4*s. Let q(l) = 51*n(l) + 6*w(l). Give q(u(h)).
-48*h**4
Let d(o) = -6*o**2 + 23. Let s(y) = -15*y - y + 47*y - 18*y - 16*y. Calculate d(s(w)).
-54*w**2 + 23
Let y(u) = 84*u**2 + 16*u. Let l(w) = -85*w**2 - 19*w. Let r(m) = 6*l(m) + 7*y(m). Let v(g) = 38*g. What is v(r(h))?
2964*h**2 - 76*h
Let z(g) = -2*g**2 - 3 - 6 + 9. Let t(s) be the second derivative of -11*s**3/3 + 185*s. Calculate t(z(y)).
44*y**2
Let c(z) = 11*z. Let k(y) = 13*y + 1 - 3*y - 26*y - 10*y + y. Determine c(k(u)).
-275*u + 11
Let o(j) = -335597164*j + 551870. Let k(i) = 20068*i - 33. Let h(m) = -50170*k(m) - 3*o(m). Let t(v) = -v. What is t(h(s))?
20068*s
Let g(l) = l**2 - 2*l + 2. Let v(b) = 32*b**2 - 56*b + 56. Let n(t) = -56*g(t) + 2*v(t). Let w(x) = -878*x. Determine n(w(y)).
6167072*y**2
Let g(c) be the third derivative of 0*c + 0 + 0*c**3 - 1/60*c**5 - 2*c**2 + 0*c**4. Let t(j) be the second derivative of -2*j**3 + 3714*j. Determine t(g(d)).
12*d**2
Let c(k) = -4*k - 3. Let j(s) = 1263*s + 772. Determine c(j(g)).
-5052*g - 3091
Let n(r) = 2*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
z?
5
Let z = 10 - 8. What is the units digit of -3 + 1 + z + 1?
1
Suppose -16 = 11*w - 12*w. What is the units digit of w?
6
Let h(d) = 16*d - 3. What is the units digit of h(3)?
5
Let a(j) = -j**2 + 6*j + 68. What is the units digit of a(0)?
8
Let a(c) = -5*c**2 + 5*c + 5. Let s(p) = -4*p**2 - p - p + 5*p**2 + p - 1. Let o(k) = 2*a(k) + 11*s(k). What is the units digit of o(5)?
9
Suppose 5*r + 507 = 2*y, y + 2*r = -4*y + 1253. What is the tens digit of y?
5
Suppose -6*c = -7*c + 30. What is the tens digit of c?
3
Suppose -x + 2*x + 2*i = 27, 0 = 2*x + 5*i - 49. What is the units digit of x?
7
Let f be (9/(-2))/((-2)/(-4)). Let v = 11 + f. What is the units digit of (-19)/2*(0 - v)?
9
Suppose -3*r - 5*k = -18, k - 9 = -r - 3. Let n(b) = -r*b - 1 + 0 + 7*b. What is the units digit of n(6)?
5
Let c be 2/(-9) + 38/9. Suppose -5*a + 50 = 2*x, 0 = 4*a - 5*x - c - 3. What is the units digit of a?
8
Let f = -58 + 28. What is the units digit of 6/f - (-141)/5?
8
Let f be (-48)/(-8) + 1/1. Suppose 0 = -f*d + 2*d + 20. Let o = d + 1. What is the units digit of o?
5
Let w(c) be the third derivative of c**4/24 + 2*c**2. Let g be w(1). What is the units digit of (g + (-1)/2)*14?
7
Let s be (-8)/20 + 6/(-10). What is the units digit of ((-24)/(-4))/(s/(-2))?
2
What is the tens digit of 2/(-5) + (-411)/(-15)?
2
Let u(r) = r**3 + 11*r**2 + 6*r - 4. What is the units digit of u(-10)?
6
Let a be (-29)/(-9) + (-2)/9. Suppose 0 = a*t - 5*k - 99, -k = 4*t + 2*k - 161. What is the units digit of t?
8
Let k = -4 + -1. Let o = k - -8. Suppose -1 = -2*z + o*l, 3*z - 6 - 12 = -l. What is the units digit of z?
5
Suppose q = -f + 5, -9 = -4*q + 3*q + f. Suppose -3*t = 3*y - 57, q*t - 3*y - 135 = 2*t. What is the tens digit of t?
2
Suppose 3*j - 2 = 52. What is the units digit of j?
8
Let k(o) = -21*o - 3*o - 2 + 3. What is the tens digit of k(-1)?
2
Let h be (-1)/(2 - (-11)/(-5)). Let r = -3 + h. Suppose -r*s = -2 - 8. What is the units digit of s?
5
Suppose 2*a = a + 25. What is the tens digit of a?
2
Let w be (-328)/(-18) - 24/108. Suppose -c + w = -11. What is the units digit of c?
9
Let r be (-1)/(2/(-102)) + 3. Let p = r + -31. What is the tens digit of p?
2
Suppose 4*s + 3*c = 10, 12 = 8*s - 4*s + 4*c. Let z = s + 4. Suppose -q + z*i - 3 = 0, -5*q + 0*q = -3*i - 29. What is the units digit of q?
7
Let m(y) = y**2 + 14*y + 16. Let b be m(-12). Let k = b - -9. Let s(j) = 11*j**2 + j. What is the units digit of s(k)?
2
Let n = 14 - 18. What is the units digit of 0 + 2 - (-19 + n)?
5
What is the tens digit of 0 - (-2 + 66/(-2))?
3
Let d(i) be the second derivative of 20*i**3/3 - i**2 + 8*i. What is the units digit of d(1)?
8
What is the tens digit of (1251/27)/(1/3)?
3
Suppose -4 = -0*l + l. Let j be 2/l*2 - -3. What is the tens digit of (-32)/(-2) + 0 + j?
1
Let v be 1/(20/18 - 1). Let d(o) be the second derivative of -o**3/6 + 6*o**2 + 3*o. What is the units digit of d(v)?
3
Suppose 18*y + 158 = 5162. What is the tens digit of y?
7
Suppose 0 = 4*b + 2*b - 300. What is the units digit of b?
0
What is the tens digit of (9/1)/((-9)/(-63))?
6
Suppose -2*x = -r - 231, r = -2*x + 211 + 10. What is the units digit of x?
3
Suppose 232 = 3*i + 4*x, -3*i - 5*x + 132 = -95. What is the tens digit of i?
8
Suppose -44 - 8 = -4*f + 5*d, 3*d = 0. What is the units digit of f?
3
Let w(f) = f**3 - 5*f**2 - 17*f. What is the tens digit of w(8)?
5
Suppose 0 = 4*b - 3*b - 18. Let n = 35 - b. What is the units digit of n?
7
Let h(w) = -10*w + 3. Let u(o) be the second derivative of 3*o**3/2 - o**2 - o. Let a(i) = -4*h(i) - 5*u(i). What is the units digit of a(-2)?
8
What is the tens digit of 0 - (-32 - (-2 + 1))?
3
Suppose -5*c - 2*h = -9, 0 = -2*c + 3*h + 7 + 8. Suppose 2*r - 58 = 3*d, 2*r + c*d - 82 = -0*d. What is the units digit of r?
5
Suppose -c - c - 72 = -2*i, c = -5*i + 162. Let z = i + -5. What is the tens digit of z?
2
Suppose 0 = 5*f - 5*t - 15, -2*t - 12 = -4*f - 6*t. Suppose f*w - 75 + 15 = 0. Suppose 3*m - j = 18, -2 = 3*m - 3*j - w. What is the units digit of m?
6
Let o be (1 + -9 - -1) + 1. Let c(n) = -n**2 - 8*n. What is the units digit of c(o)?
2
Suppose -2*q = h - 4, -2*q - 2*q = 4*h. Let v = h - -6. Suppose 8 + 0 = v*j. What is the units digit of j?
4
Let g be ((-162)/(-45))/((-2)/(-30)). Let l = -25 + g. What is the units digit of l?
9
Suppose -9*u = -7*u - 44. What is the units digit of u - (4 + -3 + -1)?
2
Suppose 5*c - 22 = -2*y + 3*y, -c = -4*y - 31. Let p = -2 - y. Suppose 0*k - k = -p. What is the units digit of k?
5
Suppose 4*o - 2*o = 20. Let j be (-6)/o + 92/20. Suppose -x + 44 = j*d, -2*x = 2*d - 5*x - 22. What is the units digit of d?
1
Suppose 0*c - 27 = c. Let u = -19 - c. What is the units digit of u?
8
Suppose 0 = 5*t + 4*n - 335, -t - n + 137 = t. What is the units digit of t?
1
Let p(q) = 1 + 6 + 2*q + 5*q**3 - 8 - 3*q**2. Let j be p(2). Let t = j + -18. What is the units digit of t?
3
Let v(n) = n**2 + n + 40. Let g be v(0). Let d = g + -22. What is the units digit of d?
8
Let b(k) = 3*k - 5. Suppose -18 = -5*c - o - o, 2*o - 10 = -3*c. What is the units digit of b(c)?
7
Let k = 0 + 5. Suppose -h - 2*t + 5*t = -39, 1 = -h - k*t. What is the units digit of h?
4
Let k = -10 - -14. Let v(j) = -j**3 + 6*j**2 - 6*j + 5. What is the units digit of v(k)?
3
Let k be (-40)/(-12)*9*2. Suppose -3*l - 3*u - 36 = 0, 5*l + u - 8 = -k. What is the units digit of (-1)/(-5) + (-98)/l?
0
Let m be 112 + (-2 - (1 - 6)). Suppose -m = -2*l - 25. What is the tens digit of l?
4
Let z = 22 - 36. Let b = -8 - z. Let a = -1 + b. What is the units digit of a?
5
Let r = -9 + 4. Let g = 8 + r. Let w(c) = c + 4. What is the units digit of w(g)?
7
Suppose 2*a - 5 = 1, 0 = 4*x + 2*a - 1686. What is the units digit of x?
0
Suppose -4*k + 0 = -12, n + 2*k - 9 = 0. Let l(w) = -2 + 2*w - w**3 - w + 6*w**2 - n. What is the units digit of l(6)?
1
Suppose l = 4*f - 18, 1 + 17 = -l - 2*f. What is the tens digit of ((-2)/(-2) - 2)*l?
1
Suppose -4*u - 3 - 19 = -2*j, 2*j + u - 2 = 0. Let p(v) = 0*v**j + 2*v**3 - v**3. What is the units digit of p(2)?
8
Suppose -2*h = h + 12. Let m be (2/1)/((-4)/102). What is the tens digit of 2/8 + m/h?
1
Let g be -4 + 4 - (3 - 5). What is the units digit of 2 - (g*-7 + 3)?
3
Suppose -5*r = -4*r - 10. Let s(t) = t - 6. What is the units digit of s(r)?
4
What is the units digit of (-30)/20 + 30/4?
6
Suppose 5*q = 32 - 2. Let c = 9 + q. What is the tens digit of c?
1
Suppose -7 - 1 = -f. Suppose -4*g = -f - 36. What is the tens digit of g?
1
Suppose -4*l + 508 = -2*l. What is the hundreds digit of l?
2
Suppose 5*b - 132 = 363. What is the units digit of b?
9
Let j = 8 - 11. What is the units digit of (13 - (-6)/j) + 2?
3
Suppose -35 + 7 = 4*o. Let d(u) = u**2 + 6*u - 7. Let n be d(o). What is the units digit of n - 5*(-3 - -2)?
5
What is the units digit of 4 - (-33 - -2) - 0?
5
Suppose 0*m - 5*m + 3*l - 44 = 0, -2*m = -4*l + 26. Let y(c) = -c**3 - 7*c**2 - 4*c - 6. What is the units digit of y(m)?
2
Suppose 0 = -x + 5*c + 143, 0 = -3*x - 5*c + 117 + 272. What is the hundreds digit of x?
1
Suppose -3*i = 6 - 3. Let y be (i/(-4))/(9/36). What is the units digit of (0 - y)*(0 + -2)?
2
Let m(z) = -z**3 - 5*z**2 + 4*z - 8. Let y be m(-6). Let n(q) = q**2 + y*q**2 - 2*q + 1 + 4*q. What is the units digit of n(-1)?
4
Let s be (-51)/(-12) + 2/(-8). Suppose s*z - 1 = 3. Suppose 2*v = y - 7, -z = v + 1. What is the units digit of y?
3
Let d be 2 + (4 - 69) + -2. Let z = -16 - d. What is the units digit of z?
9
Suppose 0 = -i - 4*a + 45, -4*i + 0*a = 5*a - 169. Suppose -2*j + i + 27 = 0. Let t = 50 - j. What is the units digit of t?
6
Let w(n) = n. What is the units digit of w(6)?
6
Suppose 5*g - 508 - 12 = 0. What is the units digit of g?
4
Let a(f) = -f**3 + 6*f**2 + f - 1. Let p be a(6). Suppose -z + p*z = 24. What is the units digit of z?
6
Suppose c + 5*b = -23 + 2, -2 = -2*b. Let n(g) = -17*g + 2. Let a be n(-2). Let p = a + c. What is the units digit of p?
0
Let s = -151 + 308. What is the hundreds digit of s?
1
Let t(u) = -u + 3. Let n be t(4). Suppose f - 4*o + 25 = 4*f, 2*o = -5*f + 51. Let v = n + f. What is the tens digit of v?
1
What is the units digit of (-8 + 2)*(448/(-12))/7?
2
Let r = 21 - 10. What is the tens digit of r?
1
Let h(o) = -6*o + 46. L
|
{
"pile_set_name": "DM Mathematics"
}
|
36
Let y(d) = -151*d - 21. Give y(-2).
281
Let q(b) = -b**2 - 25*b + 45. Give q(-19).
159
Let j(g) = -93*g + 2026. Determine j(22).
-20
Let y(v) = -14*v**2 + 8*v - 6. Determine y(4).
-198
Let y(z) = z**2 - 79*z - 590. Calculate y(85).
-80
Let y(n) = 16*n + 348. Calculate y(14).
572
Let l(w) = 7*w**3 + 14*w**2 - 26*w + 12. Give l(1).
7
Let b(f) = -f**3 + 29*f**2 - 169*f + 31. Calculate b(21).
10
Let u(j) = 5*j**3 - 4*j**2 - 281*j - 60. What is u(-7)?
-4
Let m(c) = -2*c**3 + 29*c**2 - 93*c + 36. Give m(9).
90
Let m(n) = 13*n - 71. Calculate m(3).
-32
Let n(f) = f**2 - 22*f - 51. Determine n(32).
269
Let b(f) = -16*f**3 + 60*f**2 + 17*f - 1. Calculate b(4).
3
Let j(w) = w**3 + 26*w**2 - 2637*w + 200. Determine j(-66).
2
Let r(g) = -g**2 + 13*g - 206. What is r(25)?
-506
Let h(t) = -t**3 - 6*t**2 + 4*t - 23. Determine h(-7).
-2
Let u(o) = -18*o + 430. Calculate u(26).
-38
Let v(j) = -j**3 - 48*j**2 - 208*j + 328. What is v(-43)?
27
Let n(d) = -27*d**2 + d - 3. What is n(2)?
-109
Let m(i) = 63*i - 739. Calculate m(7).
-298
Let a(n) = -2*n**3 - 70*n**2 + 226*n - 73. Calculate a(-38).
3
Let i(s) = 114*s**2 - 9*s - 3. Determine i(-1).
120
Let k(i) = i**3 + 30*i**2 - 315*i - 4901. Calculate k(-35).
-1
Let a(y) = -31*y + 534. Calculate a(17).
7
Let x(p) = p**3 - 10*p**2 - 9*p. What is x(-1)?
-2
Let c(o) = -o - 5. Determine c(10).
-15
Let m(n) = -818*n - 3. Give m(0).
-3
Let v(t) = -11*t - 137. Give v(-24).
127
Let x(a) = 5*a + 14. Calculate x(-3).
-1
Let q(g) = 4*g**2 + g - 7. Determine q(-2).
7
Let k(q) = q**3 + 13*q**2 - 16*q - 424. What is k(-11)?
-6
Let u(m) = -94*m - 2233. Give u(-24).
23
Let y(z) = -438*z + 66598. Calculate y(152).
22
Let s(r) = -r**2 - r - 102. What is s(0)?
-102
Let f(t) = t**2 + 1788*t. Calculate f(0).
0
Let p(d) = 381*d - 771. Calculate p(2).
-9
Let c(v) = 771*v + 5388. What is c(-7)?
-9
Let g(n) = 3*n**3 + 764*n**2 + 6394*n - 496. Give g(-246).
-4
Let t(u) = -u**3 - 16*u**2 + 110*u + 102. Calculate t(-21).
-3
Let a(n) = -18*n - 298. Give a(-20).
62
Let u(x) = -55*x + 1099. Give u(20).
-1
Let z(m) = -2*m**2 + 252*m - 981. Determine z(122).
-5
Let t(a) = 2*a**2 + 80*a + 63. Give t(-38).
-89
Let d(i) = i**2 + 25*i + 160. Determine d(-11).
6
Let a(m) = 12*m - 17. Give a(-2).
-41
Let t(j) = -j**3 - 13*j**2 + 21*j + 267. Calculate t(-13).
-6
Let b(l) = l**3 + 17*l**2 + 65*l - 51. Determine b(-8).
5
Let f(u) = -8*u**2 + 111*u + 460. Calculate f(-4).
-112
Let f(w) = -w**3 - 19*w**2 - 29*w - 5. Calculate f(-6).
-299
Let x(v) = -v**2 - 11*v + 51. What is x(-13)?
25
Let j(b) = 187*b - 2239. Give j(14).
379
Let y(s) = -1841*s + 7367. What is y(4)?
3
Let v(r) = 9*r + 1. What is v(-8)?
-71
Let f(n) = -n**3 - 4*n**2 + 192*n + 932. Determine f(-5).
-3
Let p(c) = c**2 + 21*c + 171. What is p(-17)?
103
Let o(d) = -1688*d + 75962. Calculate o(45).
2
Let c(v) = -37*v**2 + 41*v - 31. Determine c(1).
-27
Let q(m) = -19*m**3 + 780*m**2 - 25*m - 662. Determine q(41).
-6
Let h(w) = 2*w**3 + 17*w**2 + 4*w + 28. What is h(-8)?
60
Let z(w) = -w**3 + 6*w**2 - 38*w + 172. What is z(5)?
7
Let s(w) = -w**3 + 374*w**2 - 31248*w + 8. What is s(126)?
8
Let s(j) = -183*j + 827. What is s(5)?
-88
Let v(n) = -6*n**2 - 150*n + 331. What is v(-27)?
7
Let m(r) = 13*r + 99. What is m(5)?
164
Let t(x) = -4*x**3 + 9*x**2 + 2*x - 21. Give t(4).
-125
Let q(i) = -i**3 + 18*i**2 - 17*i + 5. Determine q(12).
665
Let j(c) = c**2 - 138*c + 2364. Determine j(20).
4
Let u(b) = -b**2 - 11*b + 75. Calculate u(0).
75
Let i(d) = -728*d + 149971. Give i(206).
3
Let x(c) = 19*c**3 + 132*c**2 - 2*c - 1. Give x(-7).
-36
Let m(d) = -3*d**3 - 72*d**2 - 358*d + 5. Determine m(-7).
12
Let w(x) = -401*x + 5195. Calculate w(13).
-18
Let d(z) = 4*z**2 - 88*z - 9. Calculate d(21).
-93
Let q(c) = -c**3 - 4*c**2 + 12*c + 1. What is q(-6)?
1
Let a(l) = l**3 + 21*l**2 + 102*l - 1. Calculate a(-12).
71
Let d(j) = 58*j**3 - 5511*j**2 + 92*j + 237. What is d(95)?
-48
Let n(g) = 35*g**2 + 736*g + 43. What is n(-21)?
22
Let i(v) = 2*v**3 - 14*v**2 + 7*v - 16. What is i(6)?
-46
Let f(p) = p**3 + 24*p**2 - 51*p + 64. Calculate f(-26).
38
Let r(g) = g**2 + 731*g - 7447. Give r(10).
-37
Let q(w) = -2842*w + 11373. Determine q(4).
5
Let f(v) = -2*v**2 - 60*v + 823. What is f(-40)?
23
Let m(q) = 1036*q + 3092. Calculate m(-3).
-16
Let g(f) = -3*f**2 - 31*f - 33. Give g(-3).
33
Let o(u) = u**3 + 10*u**2 - 16*u - 83. What is o(-10)?
77
Let f(u) = -933*u - 7434. Calculate f(-8).
30
Let f(h) = -2*h**2 - 4*h + 59. Determine f(-6).
11
Let h(q) = 5*q - 542. Give h(92).
-82
Let c(z) = -z**3 + 9*z**2 - 43*z + 212. Calculate c(7).
9
Let w(k) = -6*k**2 + 585*k - 212. Determine w(97).
79
Let a(s) = 401*s - 2015. Give a(5).
-10
Let i(c) = c**3 - 74*c**2 + 468*c + 72. Calculate i(67).
5
Let z(x) = 5929*x - 11866. Calculate z(2).
-8
Let d(s) = 5*s + 351. Calculate d(-59).
56
Let f(p) = -7*p**3 + p**2 + p. Calculate f(1).
-5
Let l(j) = -199*j - 31638. Determine l(-159).
3
Let g(n) = n**3 + 20*n**2 + 52*n - 10. Give g(-17).
-27
Let p(m) = -116*m + 12991. Calculate p(112).
-1
Let r(v) = v**3 + 54*v**2 - 951*v - 121. What is r(-68)?
-189
Let p(q) = -q**3 - 39*q**2 - 104*q + 130. What is p(-36)?
-14
Let s(b) = -41*b + 378. Calculate s(9).
9
Let a(q) = q**2 + 20*q - 780. Calculate a(19).
-39
Let i(u) = -u**2 + 2*u - 24. Calculate i(9).
-87
Let b(c) = -c**2 + 47*c - 533. Determine b(26).
13
Let s(o) = -o**3 + 46*o**2 - 297*o + 2. What is s(8)?
58
Let p(i) = -i**2 - 60*i - 857. What is p(-24)?
7
Let k(m) = 2*m**3 + 89*m**2 + 46*m - 92. What is k(-44)?
-180
Let k(b) = -3*b**2 + 10*b + 19. Calculate k(5).
-6
Let r(o) = 263*o - 2034. Give r(8).
70
Let v(a) = a - 49. Determine v(-7).
-56
Let m(r) = -398*r - 2193. What is m(-5)?
-203
Let d(t) = -2*t**3 + 48*t**2 + 52*t - 40. Give d(25).
10
Let j(p) = 27*p**2 + 290*p + 1146. Give j(-4).
418
Let y(u) = -45*u + 5123. Give y(114).
-7
Let c(q) = -8*q**3 + 103*q**2 + 2*q + 104. Determine c(13).
-39
Let y(t) = -264*t + 11353. Give y(43).
1
Let f(j) = 410*j + 34079. What is f(-83)?
49
Let u(j) = -j**2 + 85*j - 1292. Determine u(65).
8
Let y(b) = 3*b**2 + 45*b - 644. Determine y(-24).
4
Let m(z) = -z**3 + 3*z**2 - 117*z - 509. Determine m(-4).
71
Let w(v) = 2*v**2 + 225*v + 176. Give w(-112).
64
Let r(b) = -850*b - 4336. What is r(-5)?
-86
Let u(t) = 138*t**2 - 35*t + 34. What is u(1)?
137
Let y(s) = -27*s + 1058. What is y(42)?
-76
Let d(i) = -9*i**2 + 7*i + 47. Calculate d(6).
-235
Let w(j) = j**3 - 86*j**2 + 274*j - 8911. Determine w(84).
-7
Let n(k) = -5737*k - 57374. Determine n(-10).
-4
Let y(x) = x**3 + 14*x**2 + 29*x + 32. Determine y(-13).
-176
Let p(g) = -g**3 + 23*g**2 - 45*g + 10. What is p(21)?
-53
Let f(h) = -99*h + 100. What is f(1)?
1
Let s(o) = 57*o - 397. Calculate s(6).
-55
Let v(z) = z**3 - 67*z**2 - 5*z + 132. What is v(67)?
-203
Let k(y) = 18*y - 153. Determine k(6).
-45
Let s(c) = c**2 - 49*c + 548. Give s(27).
-46
Let a(f) = -f**2 + 16*f + 78. Determine a(-5).
-27
Let d(z) = 6*z - 889. Give d(154).
35
Let h(i) = -i**2 - 19*i - 68. Give h(-5).
2
Let f(j) = -36*j**2 - 283*j + 41. What is f(-8)?
1
Let t(y) = -24*y**2 + 25*y + 20. What is t(-2)?
-126
Let r(c) = -c**2 + 21*c + 54. Calculate r(-5).
-76
Let m(z) = -z**3 - 4*z**2 + 35*z - 10. Determine m(7).
-304
Let d(m) = 2301*m + 13807. Calculate d(-6).
1
Let a(t) = t**3 - 33*t**2 - 142*t - 10. Calculate a(37).
212
Let g(l) = -13*l**2 + 68*l - 172. Determine g(3).
-85
Let q(k) = -295*k + 6145. What is q(21)?
-50
Let l(p) = p**3 + 30*p**2 + 29*p + 69. Calculate l(-30).
-801
Let j(x) = -x**3 + 36*x**2 - 262*x + 49. What is j(26)?
-3
Let l(m) = -m**3 + m**2 - 18*m + 42. What is l(2)?
2
Let u(h) = -47*h - 6437. What is u(-137)?
2
Let i(c) = -c**3 + 46*c**2 - 46*c + 205. Determine i(45).
160
Let t(c) = -c**3 - 19*c**2 - 39*c + 5. Determine t(-16).
-139
Let k(z) = -85*z**2 + 134*z + 3. Calculate k(2).
-69
Let m(a) = -a**2 - 22*a + 3722. Calculate m(-73).
-1
Let n(v) = -61*v + 350. Calculate n(6).
-16
Let n(g) = g**3 + 7*g**2 + 47*g + 116. Calculate n(-4).
-24
Let v(k) = -2*k**3 - 721*k**2 + 297*k - 23108. What is v(-361)?
-4
Let f(j) = -19*j + 86. Calculate f(3).
29
Let o(f) = -2*f**2 - 123*f + 449. Calculate o(-63).
260
Let h(m) = 5*m**3 + 79*m**2 + 296*m - 123. Determine h(-8).
5
Let s(h) = -37*h**3 + 8*h**2 + 46*h + 45. Det
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the tenth root of 235043 to the nearest integer?
3
What is the tenth root of 1854597 to the nearest integer?
4
What is 150129 to the power of 1/2, to the nearest integer?
387
What is 749923 to the power of 1/2, to the nearest integer?
866
What is 320517 to the power of 1/2, to the nearest integer?
566
What is 3213450 to the power of 1/10, to the nearest integer?
4
What is 292835 to the power of 1/2, to the nearest integer?
541
What is the third root of 2280470 to the nearest integer?
132
What is the sixth root of 176896 to the nearest integer?
7
What is 1524743 to the power of 1/3, to the nearest integer?
115
What is the cube root of 5621653 to the nearest integer?
178
What is the square root of 89917 to the nearest integer?
300
What is 468973 to the power of 1/2, to the nearest integer?
685
What is the cube root of 874499 to the nearest integer?
96
What is 147383 to the power of 1/10, to the nearest integer?
3
What is the square root of 7194610 to the nearest integer?
2682
What is 43778 to the power of 1/2, to the nearest integer?
209
What is the seventh root of 22024797 to the nearest integer?
11
What is the third root of 427386 to the nearest integer?
75
What is the square root of 260381 to the nearest integer?
510
What is 1544323 to the power of 1/3, to the nearest integer?
116
What is 34987 to the power of 1/3, to the nearest integer?
33
What is 2054638 to the power of 1/3, to the nearest integer?
127
What is 430423 to the power of 1/2, to the nearest integer?
656
What is the square root of 512131 to the nearest integer?
716
What is the square root of 1668363 to the nearest integer?
1292
What is the cube root of 608194 to the nearest integer?
85
What is the cube root of 624275 to the nearest integer?
85
What is the fourth root of 10162121 to the nearest integer?
56
What is the cube root of 1033962 to the nearest integer?
101
What is 2042354 to the power of 1/2, to the nearest integer?
1429
What is 410233 to the power of 1/2, to the nearest integer?
640
What is the square root of 445467 to the nearest integer?
667
What is 528229 to the power of 1/3, to the nearest integer?
81
What is 918503 to the power of 1/4, to the nearest integer?
31
What is the cube root of 18811553 to the nearest integer?
266
What is 589677 to the power of 1/6, to the nearest integer?
9
What is 469464 to the power of 1/3, to the nearest integer?
78
What is 246901 to the power of 1/4, to the nearest integer?
22
What is 83103 to the power of 1/4, to the nearest integer?
17
What is the eighth root of 87229 to the nearest integer?
4
What is the third root of 344322 to the nearest integer?
70
What is the cube root of 132253 to the nearest integer?
51
What is 74117 to the power of 1/3, to the nearest integer?
42
What is 2810523 to the power of 1/9, to the nearest integer?
5
What is the seventh root of 3827410 to the nearest integer?
9
What is 5661672 to the power of 1/2, to the nearest integer?
2379
What is the third root of 523957 to the nearest integer?
81
What is the sixth root of 2129244 to the nearest integer?
11
What is 28529064 to the power of 1/6, to the nearest integer?
17
What is the square root of 102567 to the nearest integer?
320
What is the square root of 172022 to the nearest integer?
415
What is 248284 to the power of 1/2, to the nearest integer?
498
What is 500026 to the power of 1/4, to the nearest integer?
27
What is the fifth root of 11953289 to the nearest integer?
26
What is 8202626 to the power of 1/2, to the nearest integer?
2864
What is the third root of 14401513 to the nearest integer?
243
What is the square root of 3000608 to the nearest integer?
1732
What is the fourth root of 1200052 to the nearest integer?
33
What is 207234 to the power of 1/3, to the nearest integer?
59
What is the fourth root of 9742068 to the nearest integer?
56
What is the square root of 492224 to the nearest integer?
702
What is 28365 to the power of 1/2, to the nearest integer?
168
What is 313210 to the power of 1/7, to the nearest integer?
6
What is the seventh root of 123125 to the nearest integer?
5
What is the cube root of 3379134 to the nearest integer?
150
What is the fifth root of 395403 to the nearest integer?
13
What is the tenth root of 813890 to the nearest integer?
4
What is 4973865 to the power of 1/3, to the nearest integer?
171
What is the square root of 232191 to the nearest integer?
482
What is 3939485 to the power of 1/3, to the nearest integer?
158
What is the cube root of 19342801 to the nearest integer?
268
What is the third root of 131525 to the nearest integer?
51
What is the fifth root of 49294 to the nearest integer?
9
What is the eighth root of 75779 to the nearest integer?
4
What is the cube root of 5814167 to the nearest integer?
180
What is 99780 to the power of 1/5, to the nearest integer?
10
What is the third root of 6390 to the nearest integer?
19
What is 9718807 to the power of 1/2, to the nearest integer?
3118
What is the fourth root of 3526472 to the nearest integer?
43
What is the fifth root of 348989 to the nearest integer?
13
What is 21130749 to the power of 1/2, to the nearest integer?
4597
What is the ninth root of 4534208 to the nearest integer?
5
What is the square root of 19901783 to the nearest integer?
4461
What is 1802771 to the power of 1/3, to the nearest integer?
122
What is 57779 to the power of 1/4, to the nearest integer?
16
What is 30112150 to the power of 1/2, to the nearest integer?
5487
What is 849519 to the power of 1/7, to the nearest integer?
7
What is the cube root of 815541 to the nearest integer?
93
What is the third root of 3107943 to the nearest integer?
146
What is 287131 to the power of 1/7, to the nearest integer?
6
What is 6586444 to the power of 1/3, to the nearest integer?
187
What is 688596 to the power of 1/2, to the nearest integer?
830
What is 3543210 to the power of 1/2, to the nearest integer?
1882
What is 3044663 to the power of 1/2, to the nearest integer?
1745
What is the seventh root of 3580251 to the nearest integer?
9
What is the tenth root of 161529 to the nearest integer?
3
What is 7149089 to the power of 1/2, to the nearest integer?
2674
What is the cube root of 242698 to the nearest integer?
62
What is the square root of 1201399 to the nearest integer?
1096
What is 704363 to the power of 1/5, to the nearest integer?
15
What is the square root of 221293 to the nearest integer?
470
What is the tenth root of 2658015 to the nearest integer?
4
What is the tenth root of 19460 to the nearest integer?
3
What is the eighth root of 873574 to the nearest integer?
6
What is 5395330 to the power of 1/3, to the nearest integer?
175
What is 550137 to the power of 1/4, to the nearest integer?
27
What is 1999338 to the power of 1/4, to the nearest integer?
38
What is the fourth root of 4049526 to the nearest integer?
45
What is the ninth root of 7946403 to the nearest integer?
6
What is the sixth root of 2573679 to the nearest integer?
12
What is 1208477 to the power of 1/8, to the nearest integer?
6
What is the cube root of 986697 to the nearest integer?
100
What is the cube root of 13157522 to the nearest integer?
236
What is 4005973 to the power of 1/5, to the nearest integer?
21
What is 2008076 to the power of 1/3, to the nearest integer?
126
What is the third root of 585069 to the nearest integer?
84
What is 527306 to the power of 1/2, to the nearest integer?
726
What is 1844555 to the power of 1/3, to the nearest integer?
123
What is the tenth root of 1642111 to the nearest integer?
4
What is the square root of 23449502 to the nearest integer?
4842
What is 1108979 to the power of 1/2, to the nearest integer?
1053
What is 303646 to the power of 1/8, to the nearest integer?
5
What is 24726 to the power of 1/6, to the nearest integer?
5
What is 3152632 to the power of 1/2, to the nearest integer?
1776
What is 1189164 to the power of 1/9, to the nearest integer?
5
What is the cube root of 1510488 to the nearest integer?
115
What is the square root of 1406942 to the nearest integer?
1186
What is the cube root of 787334 to the nearest integer?
92
What is the fourth root of 1175875 to the nearest integer?
33
What is 9117083 to the power of 1/6, to the nearest integer?
14
What is the eighth r
|
{
"pile_set_name": "DM Mathematics"
}
|
lify (-3*sqrt(102)*-3)/(2*sqrt(96)).
9*sqrt(17)/8
Simplify (sqrt(567)*1*3*-6)**2.
183708
Simplify -5 + ((sqrt(2) - (3 + -4*sqrt(2) + sqrt(2))) + -3)**2.
-48*sqrt(2) + 63
Simplify (-6*(3*sqrt(39)/sqrt(3) - sqrt(13) - (sqrt(117) + -3)))**2.
-216*sqrt(13) + 792
Simplify sqrt(6)/((5*sqrt(18))/sqrt(9)) + -2.
-2 + sqrt(3)/5
Simplify (sqrt(4)/(-1*(sqrt(6)/sqrt(3) - sqrt(2)) + sqrt(2)))**2.
2
Simplify (1 + sqrt(99))**2 + sqrt(88)/(3*sqrt(8)).
19*sqrt(11)/3 + 100
Simplify (-1*sqrt(13))**2 + 4 - -6*(sqrt(13) + sqrt(13)*-1)**2.
17
Simplify (-5 + sqrt(325)*1 + -3)**2.
-80*sqrt(13) + 389
Simplify sqrt(12)/((sqrt(44) - sqrt(1100))/sqrt(11)).
-sqrt(3)/4
Simplify 1 + sqrt(475)*4.
1 + 20*sqrt(19)
Simplify (sqrt(143) - -6*(1*sqrt(143) + sqrt(143)))/sqrt(11).
13*sqrt(13)
Simplify (sqrt(30)/((3*sqrt(48))/sqrt(8)))**2.
5/9
Simplify (sqrt(114)*2*2)/((sqrt(66) + (sqrt(66) + sqrt(66)*1 - sqrt(66)))/sqrt(11)) + 2.
2 + 2*sqrt(19)
Simplify ((sqrt(30) - 1*sqrt(1920))/sqrt(10))**2 - (1 + (sqrt(3) + sqrt(3) + sqrt(3)*-2 - sqrt(3)) + -5).
sqrt(3) + 151
Simplify ((sqrt(209) - -1*sqrt(209))*3)/sqrt(11).
6*sqrt(19)
Simplify 4 + 1 + -3 + sqrt(5).
2 + sqrt(5)
Simplify (3 + sqrt(17) + -2)*5.
5 + 5*sqrt(17)
Simplify 0 + sqrt(637)*2.
14*sqrt(13)
Simplify sqrt(7)*-2*-5 + -4.
-4 + 10*sqrt(7)
Simplify sqrt(19) + sqrt(19)*-2 + -2 + 5.
-sqrt(19) + 3
Simplify 5 + (((sqrt(104) - (sqrt(104)*1 + sqrt(104))) + sqrt(104))*-3 + sqrt(104))/sqrt(8) + -4.
1 + sqrt(13)
Simplify sqrt(49)/(sqrt(21)/sqrt(147) + sqrt(7)).
7*sqrt(7)/8
Simplify (sqrt(272) + (-3 + (sqrt(272) - (sqrt(272) + 2)) - sqrt(272)))**2 - sqrt(272).
-4*sqrt(17) + 25
Simplify (sqrt(3) - (sqrt(27) - sqrt(3))*5) + 1.
-9*sqrt(3) + 1
Simplify 5*-6*(sqrt(1300) + -1)*-6.
-180 + 1800*sqrt(13)
Simplify -4 + (sqrt(425) - (sqrt(425) - (sqrt(425) + 0))**2).
-4 + 5*sqrt(17)
Simplify (sqrt(15) + sqrt(270)/sqrt(2))/(sqrt(605) + (sqrt(605) - 3*sqrt(605)) + sqrt(5)).
-2*sqrt(3)/5
Simplify -5 + 2*sqrt(1053)*-5.
-90*sqrt(13) - 5
Simplify (sqrt(24) + -4*(sqrt(48)/sqrt(2) - sqrt(24)))/(-1*sqrt(32)/sqrt(4)).
-sqrt(3)
Simplify (sqrt(475) - (sqrt(475) + 0))**2*3.
0
Simplify 0 + sqrt(65)/(2*sqrt(125) - sqrt(125)).
sqrt(13)/5
Simplify (-5*6*sqrt(3)*-2)**2.
10800
Simplify (-6*((5*(0 + sqrt(3)) - sqrt(3)) + -2))**2.
-576*sqrt(3) + 1872
Simplify (sqrt(175)*-2 + sqrt(14)/(sqrt(6)/sqrt(3)))**2.
567
Simplify 5 + (4 + sqrt(1100) + sqrt(1100)*1)**2.
160*sqrt(11) + 4421
Simplify ((sqrt(56) - (1*sqrt(896) - sqrt(896)))/sqrt(8))**2 + -5.
2
Simplify 2 + (sqrt(128) + -4 + 1)**2.
-48*sqrt(2) + 139
Simplify (-5*-4*sqrt(384) + sqrt(384) - sqrt(384))/sqrt(12).
80*sqrt(2)
Simplify -1 + sqrt(1216) + 3 + sqrt(19) + 0 + 1 + sqrt(19) + (sqrt(19) - (sqrt(171)*-2 - sqrt(171))/sqrt(9)).
3 + 14*sqrt(19)
Simplify -2 + (1*(sqrt(1573) + sqrt(1573)*1)*-1)**2.
6290
Simplify (3*1*sqrt(1008))**2 + 3.
9075
Simplify sqrt(77)/sqrt(112) + -3.
-3 + sqrt(11)/4
Simplify (sqrt(190)/(1*sqrt(640)))**2.
19/64
Simplify (sqrt(243) + (1*sqrt(243) - sqrt(243))*-5 + sqrt(243))**2 + -1*sqrt(243)*2.
-18*sqrt(3) + 972
Simplify (-5*1*sqrt(1216))**2.
30400
Simplify (-2*-1*sqrt(85))/((sqrt(25) - sqrt(25)*-1)/sqrt(5)).
sqrt(17)
Simplify (sqrt(13) + 2 + 3*sqrt(13) + sqrt(13))**2 - (4 + (sqrt(13)*3)**2).
20*sqrt(13) + 208
Simplify -4 + 4*((sqrt(110) + sqrt(110)*1)*-4)/sqrt(10).
-32*sqrt(11) - 4
Simplify sqrt(20) + -2 + sqrt(20) + 0.
-2 + 4*sqrt(5)
Simplify (6*sqrt(432))/(-6*(sqrt(36)/sqrt(4) + sqrt(9))).
-2*sqrt(3)
Simplify (sqrt(35)*1*-2)/((sqrt(70) + -2*sqrt(70))/sqrt(10)).
2*sqrt(5)
Simplify ((sqrt(216)*-2)/(sqrt(18)/sqrt(36)))**2.
1728
Simplify 5 + (sqrt(187)*1)/sqrt(11).
sqrt(17) + 5
Simplify ((-1 + sqrt(180))*-3 + sqrt(180)*-1 + -2)**2.
-48*sqrt(5) + 2881
Simplify (-2*sqrt(77)*2)/(sqrt(63)/sqrt(36) + sqrt(7)).
-8*sqrt(11)/3
Simplify (3*(-1 + sqrt(832)))**2.
-144*sqrt(13) + 7497
Simplify (2 + sqrt(98)*2)**2 + (3 + 1*sqrt(98))**2 + sqrt(98) + -4.
105*sqrt(2) + 499
Simplify (4*2*sqrt(14)/sqrt(7)*2)**2.
512
Simplify -5 + (sqrt(135)/sqrt(20) - sqrt(27))/sqrt(9).
-5 - sqrt(3)/2
Simplify ((sqrt(117))**2 - sqrt(13))*3*3.
-9*sqrt(13) + 1053
Simplify ((2*sqrt(104) + sqrt(104))*6)/(-5*-1*sqrt(8)).
18*sqrt(13)/5
Simplify (sqrt(272) + 0)**2 + 5.
277
Simplify (sqrt(68)/(6*(3*sqrt(4) + sqrt(4))))**2 + -2.
-1135/576
Simplify -4*-5*sqrt(28)*2.
80*sqrt(7)
Simplify 6*(sqrt(12) - sqrt(48))/sqrt(6).
-6*sqrt(2)
Simplify (-4 + -2*sqrt(2736))**2.
192*sqrt(19) + 10960
Simplify -5*sqrt(44)*1.
-10*sqrt(11)
Simplify sqrt(405) + -1 + -5 + (sqrt(5) - sqrt(25)/sqrt(5)).
-6 + 9*sqrt(5)
Simplify -5*(1*(sqrt(143) - ((sqrt(143) - (sqrt(143)*2 + sqrt(143))) + sqrt(143))))/((2*sqrt(110))/sqrt(10)).
-5*sqrt(13)
Simplify (-3 + sqrt(11) + 0 - -1*sqrt(275))**2.
-36*sqrt(11) + 405
Simplify -2*(sqrt(833) + 2).
-14*sqrt(17) - 4
Simplify (6*(-1 + sqrt(19) - sqrt(19))*3*3)**2.
2916
Simplify sqrt(833) + (sqrt(833) - (2*sqrt(833) + 0 - sqrt(833)))**2 + (-1*sqrt(833))**2*-5.
-4165 + 7*sqrt(17)
Simplify sqrt(143)/(sqrt(11) + -2*sqrt(396)) + (sqrt(468))**2 + (sqrt(104)*-1 - sqrt(104))/sqrt(8).
-23*sqrt(13)/11 + 468
Simplify 6*(sqrt(704) + sqrt(704)*2)*-1.
-144*sqrt(11)
Simplify (sqrt(2) + sqrt(18) + 5)**2 - (sqrt(8) + 1 - sqrt(2)).
39*sqrt(2) + 56
Simplify sqrt(468)/sqrt(81).
2*sqrt(13)/3
Simplify ((-1*sqrt(320) - sqrt(320)) + -5)**2 - (-2*sqrt(320) + sqrt(320) + sqrt(320) + 1)**2.
160*sqrt(5) + 1304
Simplify 1*sqrt(288) - (0 + -2 + sqrt(2) + sqrt(2)).
2 + 10*sqrt(2)
Simplify (sqrt(99)/(sqrt(63)/(sqrt(14)/sqrt(2))))**2*2.
22
Simplify ((sqrt(192) - -5*(sqrt(192) + 1*sqrt(192))) + 2)**2.
352*sqrt(3) + 23236
Simplify 4 + -4*(sqrt(605) + 1) + sqrt(605) + 0.
-33*sqrt(5)
Simplify sqrt(300) + 2*sqrt(300) + 2 + 1.
3 + 30*sqrt(3)
Simplify sqrt(7) + sqrt(7) + 5*-1*sqrt(7) + (sqrt(7) - (-2 + sqrt(7) + sqrt(63))).
-6*sqrt(7) + 2
Simplify -5*(sqrt(243) - (-1*sqrt(243))**2).
-45*sqrt(3) + 1215
Simplify ((sqrt(2299) - (2*sqrt(2299) - sqrt(2299)))*-6)**2.
0
Simplify (sqrt(432) + sqrt(432)*1)/(sqrt(24)/sqrt(4)*-4).
-3*sqrt(2)
Simplify (sqrt(30)/sqrt(490) - (sqrt(3) + -5 + sqrt(27)))**2.
-270*sqrt(3)/7 + 3412/49
Simplify ((-2 + sqrt(242) + sqrt(242))*-3)**2 + 5.
-792*sqrt(2) + 8753
Simplify 2*sqrt(13)*1*2.
4*sqrt(13)
Simplify -5 + 4 + -1 + sqrt(128).
-2 + 8*sqrt(2)
Simplify -4*(sqrt(7) + 1) - (2 + (sqrt(7) - (sqrt(7) + sqrt(7)*1))).
-3*sqrt(7) - 6
Simplify 1*sqrt(700) - (3 + sqrt(77)/(sqrt(11) - (sqrt(11) - sqrt(33)/sqrt(3)))).
-3 + 9*sqrt(7)
Simplify (sqrt(19) - -5*sqrt(1216)) + sqrt(304) + 0.
45*sqrt(19)
Simplify -1*(-2*sqrt(7)*-1)**2 + 2.
-26
Simplify (-5*-5*(sqrt(891) + -1 - sqrt(891)))**2.
625
Simplify (0 + (sqrt(7) - (sqrt(7) - (1 + sqrt(7)))) + (-5*sqrt(7)*2)**2)*-1.
-701 - sqrt(7)
Simplify ((sqrt(24) + sqrt(6))*-3)/(sqrt(3) - (sqrt(147) - -2*sqrt(147))).
9*sqrt(2)/20
Simplify (4*2*sqrt(539))**2.
34496
Simplify (-1*(sqrt(1300) + sqrt(1300)*-1 + sqrt(1300)) + sqrt(1300))**2.
0
Simplify sqrt(931) + 1 + -4.
-3 + 7*sqrt(19)
Simplify ((sqrt(12) - ((sqrt(192) + sqrt(12))*1 - sqrt(12)))/(sqrt(144)/sqrt(4)))**2.
3
Simplify sqrt(12)/sqrt(4)*-5 + (0 + sqrt(3) + -1)**2.
-7*sqrt(3) + 4
Simplify (-3*sqrt(20)*3)/sqrt(4).
-9*sqrt(5)
Simplify (4 + (sqrt(2) - (2 + sqrt(2))) + 3*(-3 + sqrt(2)))**2.
-42*sqrt(2) + 67
Simplify (3 + 2 + sqrt(468) + 3)**2.
96*sqrt(13) + 532
Simplify (sqrt(17)*-1)**2 + -2 + 2.
17
Simplify ((sqrt(15) + sqrt(75)/sqrt(5))*-3)/(sqrt(3)*-3*-4).
-sqrt(5)/2
Simplify (-4 + sqrt(3) + sqrt(36)/sqrt(3) + 0)**2 + -2.
-24*sqrt(3) + 41
Simplify (sqrt(3) + 0)*3 - (sqrt(147)*1)**2.
-147 + 3*sqrt(3)
Simplify 5 + (-5*sqrt(22)/sqrt(11))**2 + 1.
56
Simplify (1 + -1*sqrt(13))**2 + 6*(0 + sqrt(13))**2.
-2*sqrt(13) + 92
Simplify sqrt(21)/(sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(112) - sqrt(112)*2)))).
sqrt(3)/5
Simplify (0 + sqrt(1377)*-3)**2*-2.
-24786
Simplify 4*((sqrt(112) - (0 + sqrt(112))**2) + -1 + 4).
-436 + 16*sqrt(7)
Simplify 3 + sqrt(832)*-1 - sqrt(832).
-16*sqrt(13) + 3
Simplify (sqrt(243)*-1 - sqrt(243)) + 5 + -5.
-18*sqrt(3)
Simplify (sqrt(648) + -2*sqrt(648))/(sqrt(99)/sqrt(44)).
-12*sqrt(2)
Simplify sqrt(75)*1 + 0 + sqrt(75).
10*sqrt(3)
Simplify -1 + sqrt(117) + -1.
-2 + 3*sqrt(13)
Simplify 4 + 1 + sqrt(539) + 4.
9 + 7*sqrt(11)
Simplify (sqrt(720))**2 + -6*sqrt(20)/sqrt(4).
-6*sqrt(5) + 720
Simplify (4*(0 + (sqrt(38)/sqrt(2) - sqrt(19))*1))**2.
0
Simplify 2*sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the nearest to -10 in 0.78, -1/9, 14?
-1/9
Which is the closest to -0.1? (a) 0.2 (b) 1 (c) 76/5 (d) -1/2
a
Which is the nearest to 0.1? (a) 2 (b) -4 (c) 1/3 (d) -208 (e) -13.6
c
What is the nearest to 18 in 0.2, 2, -10/1193?
2
Which is the closest to -23? (a) -3 (b) 9 (c) 0.047
a
What is the closest to -3 in 13, -11, -0.4?
-0.4
Which is the nearest to -2/3? (a) 0.13 (b) 2/89 (c) -2/7 (d) 0.2
c
What is the nearest to 477 in 0.2, 31, 1?
31
Which is the closest to 285/13? (a) -4 (b) -0.1 (c) -5 (d) -3
b
What is the closest to -1/8 in 3, -1, 5, 188?
-1
What is the nearest to -9 in -4, -0.292, 0.3, 2/3?
-4
What is the closest to -0.0096 in -1, -1.1, 10?
-1
Which is the nearest to 5? (a) 2 (b) -3/7 (c) -5 (d) 9914
a
What is the nearest to -1/2 in 1/4, -1.9, 1.6, 6, 1/3?
1/4
Which is the nearest to -1/2? (a) 0.3 (b) -5 (c) 7/34 (d) -240
c
What is the nearest to 621 in -1/11, -0.2, 5/4, -2?
5/4
Which is the nearest to 1806? (a) -1 (b) 1 (c) 1/6 (d) -1/5
b
What is the nearest to -10 in 0.2, -0.4, 212/3?
-0.4
Which is the nearest to -767.3? (a) 1/2 (b) 5 (c) 10 (d) 4
a
Which is the closest to -0.14? (a) -17 (b) -3 (c) -22 (d) 3
b
Which is the nearest to -34? (a) -571/4 (b) -1/3 (c) -1
c
What is the nearest to 3/4 in 0.1, 12/5, 4/5, 9?
4/5
What is the closest to 30 in -2, 10, 4, -7?
10
Which is the nearest to -2/121? (a) -1/2 (b) 2 (c) -0.0396 (d) 0.2
c
Which is the nearest to -1/2? (a) -3/1286 (b) -0.2 (c) -4 (d) -3/5
d
What is the closest to 2/9 in 3, -9/13, -5, -14/5, 2/23?
2/23
Which is the nearest to 13? (a) 0.02 (b) 160 (c) -1
a
Which is the closest to -376? (a) -1/4 (b) -3 (c) 0 (d) 0.126
b
Which is the nearest to 3? (a) -67 (b) -694/3 (c) -3/4
c
Which is the nearest to 0.05? (a) 3 (b) 0.1 (c) -1 (d) -0.034
b
What is the closest to 130 in -2, 2.1, 2?
2.1
What is the nearest to -0.04 in 0.3, 36, 4?
0.3
What is the nearest to 5428 in 0.4, -22, -2?
0.4
What is the closest to -10 in -2.2, -8, 2/5, 4/5?
-8
What is the nearest to -1/4 in 1, 5, -1, -27, 20?
-1
Which is the closest to 2/3? (a) -5 (b) 952 (c) 0.5 (d) -0.1
c
What is the nearest to 4 in -16, -0.04, -5/4, 1/3?
1/3
What is the closest to 2 in -2/5, 4, -6487?
4
What is the nearest to -1 in -3/7, -0.4, -660?
-3/7
What is the closest to -3 in 39, 45, -0.3?
-0.3
Which is the nearest to 2/7? (a) -18/7 (b) -20 (c) -2 (d) 1
d
Which is the nearest to 54? (a) 122 (b) 1/5 (c) 1
c
Which is the nearest to -10632? (a) -1 (b) -5 (c) 0.1 (d) 0.5
b
What is the closest to 1/8 in -2/3, 2.3, -10/7, 0.1, 3?
0.1
What is the nearest to -1/16 in -3/67, 6, 2?
-3/67
Which is the closest to -0.1? (a) 1/2 (b) -3 (c) -2 (d) -2/37 (e) -0.1
e
Which is the closest to 1/5? (a) -0.1 (b) 3/8 (c) -0.2 (d) -0.5 (e) 11
b
What is the nearest to 1/17 in 2/3, 1.1, 23, 1/7, 1?
1/7
What is the nearest to -0.3 in 3/7, 4/7, 5, 0.0392?
0.0392
What is the nearest to 2/205 in 2/13, 0.04, -2?
0.04
Which is the nearest to 1? (a) 0.2 (b) 16 (c) -35
a
Which is the closest to 0.1? (a) 3 (b) -0.3 (c) 3/5 (d) -0.2272 (e) -2/15
e
What is the closest to 30/17 in 2/5, -1/4, -3.8, 3?
3
Which is the nearest to 0.1? (a) 1/5 (b) 0.059 (c) 1 (d) 7 (e) 0.08
e
What is the nearest to 1 in -252, 0.4, 0.5, -5, 8?
0.5
Which is the nearest to -2/16993? (a) 0 (b) 4 (c) 0.01
a
What is the closest to -1 in -19.01, -3/7, -0.1, -5?
-3/7
Which is the closest to 0.3? (a) 2/45 (b) -0.4 (c) -1
a
Which is the nearest to -3? (a) 36 (b) 0.5 (c) 10/13 (d) 0.1 (e) 0.4
d
Which is the nearest to -3? (a) 1/8 (b) -112 (c) 30 (d) 0.1
d
What is the closest to 2 in 0.5, -0.9, 0, -2.6?
0.5
Which is the closest to 3? (a) 130 (b) 1 (c) 3/2 (d) -0.5
c
What is the nearest to 1/3 in 0.1, 0.1268, -3.6?
0.1268
What is the closest to -2 in -6, -0.4, -86, 1/2?
-0.4
Which is the closest to 2? (a) 2/81 (b) 2 (c) 15.9 (d) -0.3
b
What is the closest to 0.01 in -2/17, 4, 1.5, 2/35?
2/35
Which is the closest to 1.1? (a) 21 (b) 23 (c) -0.4
c
What is the nearest to -0.2 in -44/3, -0.3, 1/6?
-0.3
What is the nearest to -0.2 in 2/17, 41/6, -27/4?
2/17
What is the nearest to 1/3 in 0, 54, -0.26, 5/4, 1?
0
Which is the closest to -65? (a) -0.5 (b) 5/24 (c) -3/4 (d) 5 (e) 0.1
c
What is the nearest to -41/5 in 3/4, 7, 3/7?
3/7
Which is the closest to 0.0068? (a) 1.2 (b) 1/7 (c) 0.2 (d) 4/7
b
What is the nearest to 2 in 3, 0.4, -0.51, 2/19?
3
Which is the closest to 7? (a) 0.4 (b) 86/5 (c) 3 (d) 0 (e) -1
c
What is the nearest to -0.6 in -7, 0.17, 35?
0.17
Which is the closest to 2/7? (a) 0.86 (b) 11 (c) 0.2 (d) 2/3
c
Which is the nearest to -2? (a) -2 (b) 22 (c) -1 (d) 34 (e) 0.8
a
What is the nearest to 53/3 in -46, 4/7, -0.5, -11?
4/7
Which is the closest to -0.1? (a) -106 (b) -9 (c) -16
b
Which is the nearest to 0.007? (a) -2 (b) 1 (c) -1.99
b
What is the closest to 0.9 in 3, -0.1, -2, 10, 0.1?
0.1
Which is the nearest to 11/4? (a) -35 (b) -2 (c) -1
c
What is the closest to -0.31 in 1/4, 262, 0.3, -0.5?
-0.5
Which is the closest to -4? (a) 49.3 (b) -5 (c) 2 (d) 5 (e) -4
e
Which is the closest to 1? (a) -0.02588 (b) 0 (c) -0.6
b
What is the nearest to 14 in -0.1, 1/3, 33, -0.4, 0.1?
1/3
What is the closest to 0.1 in 2/7, -2101, 1/2, -3?
2/7
Which is the nearest to -287/25? (a) 1 (b) -1/2 (c) -0.3 (d) -4
d
What is the closest to -2/3 in 0, 1126, 2/5, -9?
0
What is the closest to -0.2 in 0, -5, 4/9, -2, 3162?
0
Which is the nearest to -7/5? (a) 2/17 (b) 1 (c) 6/23 (d) -2/17
d
What is the nearest to -14/5 in -0.3, 5, -2/87, -2/7, -1/3?
-1/3
Which is the closest to 2/3? (a) -2/7 (b) 273 (c) -4/7
a
What is the nearest to 1/4 in -6/65, -5922, 0.5?
0.5
Which is the nearest to 3? (a) -2/9 (b) 1 (c) -3/47 (d) 0.16
b
What is the closest to 44 in -5/3, 6, 0.2, 3, -2?
6
Which is the closest to 0? (a) -0.4 (b) -20 (c) 0 (d) -41
c
What is the closest to -3 in 3/4, -2/9, 0.09, -2, 2/3?
-2
What is the nearest to -4 in -5, 315, 12, -2/3?
-5
Which is the closest to 0.019? (a) -2/17 (b) 53 (c) 1/4 (d) -0.1
d
Which is the nearest to 7? (a) -5 (b) -1 (c) 23 (d) -2/37 (e) -4
d
What is the closest to 0 in -3, -56, 3/11?
3/11
What is the closest to 2/27 in -5, 0.167, 4/7?
0.167
What is the closest to 1 in 3, -2/29, 6/13, 0.05, -5?
6/13
What is the closest to -1 in -0.4, -1/10069, 0.3?
-0.4
What is the closest to -7 in 1, -70, 2/5, 0.67?
2/5
What is the closest to 5 in 4, -4/215, -22?
4
What is the nearest to -0.1 in 2/3, -2/5037, -4?
-2/5037
Which is the closest to -1/2? (a) 0.4 (b) -4 (c) -1 (d) -11/3 (e) -0.06
e
What is the closest to -2 in 17, 0.5, 157?
0.5
What is the nearest to 1/3 in 21/13, 5.2, 5?
21/13
Which is the nearest to 31? (a) -0.2 (b) -2/3 (c) -1 (d) 0 (e) -1/7
d
Which is the closest to 145? (a) 0.19 (b) -3/11 (c) -1.3
a
What is the nearest to 1 in 4/7, 0.022, 2422?
4/7
What is the nearest to -7 in 5, 1/4, 810?
1/4
Which is the nearest to 0.1? (a) -6 (b) 3/7 (c) 27 (d) 1 (e) -39
b
Which is the nearest to -0.2? (a) -1.2 (b) -3 (c) -3/8 (d) -8.7
c
Which is the closest to 0? (a) 0 (b) 42/5 (c) -2 (d) 5
a
What is the nearest to -2/3 in -12/13, -0.4, 0.029, -1?
-12/13
Which is the nearest to 8? (a) -6 (b) -0.2 (c) -167 (d) -4 (e) -2/5
b
What is the nearest to -0.8 in 1, -14, 1/11, 2?
1/11
Which is the nearest to 2/11? (a) 3 (b) 2/3 (c) 1023
b
What is the closest to 0.1 in -2, 1059, 2/3, -0.5?
2/3
What is the closest to 0.2 in 4, 17, 1/2, -686?
1/2
Which is the closest to 2/5? (a) 3/5 (b) 2/7 (c) 0.3 (d) -0.4 (e) 15
c
What is the closest to 5 in 5, 0.2135, -1?
5
Which is the closest to -0.1? (a) 0.642 (b) -10.1 (c) 3
a
What is the closest to -0.2803 in 0, 0.03, -2, -0.3?
-0.3
Which is the closest to 70? (a) 2 (b) 248 (c) -2
a
What is the nearest to 2 in -0.3, -4, 0.26, 1/8, 0?
0.26
Which is the closest to 0? (a) 0 (b) -0.6 (c) -436 (d) -1
a
What is the nearest to 12 in 2.81, -4, -2, 24?
2.81
Which is the nearest to -4? (a) 0.3 (b) 619 (c) -2
c
Which is the closest to -1? (a) 0.9 (b) 527 (c) -3 (d) -3/2
d
Which is the nearest to 0? (a) -1/4 (b) -0.5 (c) -4 (d) 3693.9
a
Which is the nearest to 0.2? (a) 0.3 (b) -4 (c) -104 (d) -3
a
What is the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
*l**2 - 418*l**2 + 81328*l**2 + 39519*l**2 - 14. Let p be b(z). Round p to the nearest 1000000.
9000000
Suppose 2*y + 4*s - 6 - 22 = 0, 5*s - 37 = -3*y. Suppose 3*x - 2*q - q = -1263, -y*x - 1684 = q. Round x to the nearest 10.
-420
Let b = 49.8 - 143.72. Let y = b + 92. What is y rounded to one dp?
-1.9
Let s = 25.4 - 3.4. Let l = -1179454.6800012 - -1179476.68. Let q = l - s. Round q to 6 dps.
-0.000001
Suppose 3*b = 35*s - 38*s - 1440309, -3*s = -5*b + 1440285. Round s to the nearest 10000.
-480000
Let m be (-3)/2*(-336)/36. Let b = -9 + m. Let a be 3/b + 3/(-5). Round a to 4 decimal places.
0
Let p = 594496799.765124 - 221829765.764993. Let m = p - 372667228. Let u = 194 + m. What is u rounded to five decimal places?
0.00013
Let y = -11.5 + 0.5. Let a = 11.0346 - 0.0546. Let n = y + a. What is n rounded to 1 decimal place?
0
Suppose -3*g + 1047580 = -4*a, 4*a - 5*a - 4*g = 261914. Let q be 10/(-45) + a/9. Round q to the nearest ten thousand.
-30000
Let k = -14 + 16. Suppose 5*m - 10 = 4*v, k*v + 23 = -v - 4*m. Let d be v/(-3)*(-98 - -11). Round d to the nearest ten.
-150
Let t = 1.2402 + -1.21. Let l = 0.0553 - t. Round l to three dps.
0.025
Let w = 34 + -29. Suppose 5*i - 4*o - 20 = 0, -4*i - o - w = -0*o. Suppose -1989000 = 9*y - i*y. What is y rounded to the nearest 10000?
-220000
Let q = -666.4 + 610. Round q to 0 dps.
-56
Let l = 58230 - 58229.823564. Let t = -0.176 + l. What is t rounded to 4 decimal places?
0.0004
Suppose -4*l + 2*o + 8 = 0, -2*o + 4 = 2*l - o. Let n be (-250)/(l/4*-1). What is n rounded to the nearest 1000?
1000
Let z be 10/(-4) + (-23445)/6. What is z rounded to the nearest one thousand?
-4000
Let q(r) be the first derivative of 29*r**2 - 6*r - 34. Let a be q(7). What is a rounded to the nearest ten thousand?
0
Let d = -2993704.17 + 3010187. Let y = d + -16416. Let h = y - 66. What is h rounded to 1 dp?
0.8
Let w = 0.0292 - 0.1936. Round w to three dps.
-0.164
Let q = -470 - -496.52. Let a = -26 + q. Round a to 1 dp.
0.5
Let z = -0.594 - -72.114. Let m = z + -72. Round m to one decimal place.
-0.5
Let m(h) = -11 - 1 - 201*h - 4. Let q be m(-11). Let r = q - 6795. Round r to the nearest one thousand.
-5000
Let o = 9206.9 - 9204.90062. Let n = o - 2. What is n rounded to 4 dps?
-0.0006
Let t = -124.5 - -124.49431. Round t to 3 decimal places.
-0.006
Suppose 5*i - 4*x = -0*i - 602319, i = -3*x - 120479. Let h = i + 252467. Round h to the nearest 10000.
130000
Let k = -5191 + 3894.3. Round k to the nearest one hundred.
-1300
Let r = 382557.9158 + -413183.70583. Let h = 30626 + r. Let u = h - 0.21. Round u to 5 decimal places.
-0.00003
Let g be 17 + (5 - 16) - (0 + 77660006). What is g rounded to the nearest one million?
-78000000
Let o = 58 - 58.23. Let z = 0.02 + o. Let k = 0.306 + z. Round k to 2 decimal places.
0.1
Let u = -559.9551 + 560. Let m = u + -2.2149. Let y = 2.1587 + m. What is y rounded to three dps?
-0.011
Let k = -802.9997722 - -803. What is k rounded to five decimal places?
0.00023
Let v = 83 - 73. Let c = v - 10.000001. Round c to 4 dps.
0
Let f = -82.983 - -83. Let b = -5180 - -5187.583. Let j = f + b. What is j rounded to the nearest integer?
8
Suppose -15*n - 309272 + 90272 = 0. Round n to the nearest 10000.
-10000
Let i = 3.78 - 1.668. Let d = 2 - i. Let f = d - 0. What is f rounded to 2 dps?
-0.11
Suppose 5*c + 319 = k, -3*c - 193 = -0*k - k. Let m be c/18*(-8)/14. Suppose 2*n = -m*n - 800. Round n to the nearest one hundred.
-200
Let s = 123 + -315. Let n = 192.0111 + s. What is n rounded to three decimal places?
0.011
Let c = 4588311 - 11468311. What is c rounded to the nearest 100000?
-6900000
Let p(u) = 127999*u**3 + 5*u**2 + u - 5. Suppose 0 = -2*g + 4*g - 10. Let d be p(g). Round d to the nearest 1000000.
16000000
Let g(c) be the third derivative of -c**6/5 - c**5/60 - c**4/12 - 37*c**2. Suppose 2 = 2*l - 2. Let y be g(l). What is y rounded to the nearest ten?
-200
Let d = 102.4 - 72.1. Let w = -588282.159683 + 588251.86. Let c = w + d. What is c rounded to five dps?
0.00032
Let k = -108.2 - -108.200113. Round k to 4 dps.
0.0001
Let h = -4.996 - -4.5. Round h to 1 dp.
-0.5
Let u = 0.0447 - 1.8347. What is u rounded to 1 dp?
-1.8
Let d = 3023691 - 31862531. Let g = d + 28838755.999901. Let p = g - -84. What is p rounded to 5 dps?
-0.0001
Let h(m) = m**3 - 5*m**2 + 3*m + 4. Let g be h(4). Let p be (-940)/3*18/(-4). Suppose -r - p = -g*r. Round r to the nearest one hundred.
-1400
Suppose -2*z = -5*p - 7*z + 15, -4*p = -4*z + 20. Let c be p*8750*240*1. What is c rounded to the nearest 1000000?
-2000000
Let y(z) = 23087*z**2 + 79*z - 8. Let c be y(24). Round c to the nearest one million.
13000000
Let d = -1.784 - -1.78397953. Round d to seven decimal places.
-0.0000205
Let d = -209.46 + 290.5. Let c = 20.8 - -62.2. Let x = c - d. Round x to one decimal place.
2
Let q(n) = -1841*n + 2. Let l be q(1). Let j = 2741 - l. Round j to the nearest 1000.
5000
Let r(s) = s**3 - 11*s**2 + 4*s - 16. Let y be r(11). Let b = y + -42. Round b to 0 decimal places.
-14
Let f = 76 + -75.99471. What is f rounded to 3 decimal places?
0.005
Let l = -2529.7249909 - -2529.611. Let q = l - 0.3460561. Let a = -0.46 - q. What is a rounded to five decimal places?
0.00005
Let s = -0.09942 + 0.0994193719. Round s to seven decimal places.
-0.0000006
Let k = -147.99642 - -148. Round k to four decimal places.
0.0036
Let q(a) = -309*a - 20. Let m be q(-10). Let h be (m/(-8))/(8/(-64)). What is h rounded to the nearest 100?
3100
Suppose -26*l + 12059994 = 3*u - 24*l, 2*l + 4020006 = u. Round u to the nearest 1000000.
4000000
Let g = -15 + 15.19. Let q = g - 0.189984. What is q rounded to 5 dps?
0.00002
Suppose -4*j + 6*i + 2039 = 5*i, i - 5 = 0. Suppose -2*k + 3129 + j = 0. What is k rounded to the nearest one hundred?
1800
Let n be (3 + (0 - 3))/1. Suppose 0 = y + 5*z + 8, z + z + 4 = n. Let r be (y + -99)*(-2 - -4). Round r to the nearest 10.
-190
Suppose 0 = -48*n - 544 - 512. Round n to the nearest 10.
-20
Let l = 0.01 + 24.99. Let r = 25.00017 - l. What is r rounded to 4 dps?
0.0002
Let g = 359.979 - 358. Let j = 1.86 - g. Round j to 2 decimal places.
-0.12
Let k = 119934 - 120027.0165. Let s = k + 93. What is s rounded to two decimal places?
-0.02
Let p(r) = -r**2 + 15*r + 6. Let g be p(15). Let d = -28 - g. Round d to zero decimal places.
-34
Let n = -19 - -15. Let f = -9 + n. Let l = f + 12.9. What is l rounded to 1 decimal place?
-0.1
Let i = 859.79 - 958.704. Let g = i + 99. Round g to 2 dps.
0.09
Let l = 0.163709 + -91518.163709. Let w = 91491.0099 + l. Let h = 27 + w. Round h to 3 dps.
0.01
Let w = 0.53 + -0.816. Let a = 0.084 - w. Let t = 1.42 - a. What is t rounded to 1 decimal place?
1.1
Let q = 2.02401881 - 2.024. What is q rounded to 6 dps?
0.000019
Let m = -1501.99998957 + 1502. Round m to 7 decimal places.
0.0000104
Let h be -3208989 - 12 - 7/(-7). Round h to the nearest 100000.
-3200000
Suppose 4*c - 7717 = -3*d, 4*d = 2*c + 3*d - 3871. Round c to the nearest 100.
1900
Let p = 238 + -363. What is p rounded to the nearest ten?
-130
Let y = 240 + -239.37. Let n = -1370 - -1378.43. Let t = n - y. Round t to zero decimal places.
8
Let i = 316.51658 - -19951415.48342. Let z = -19951722.9999985 + i. Let m = -9 + z. What is m rounded to six decimal places?
0.000002
Let t = 179 - 489. Round t to the nearest 100.
-300
Let u = 182.3797 - 186.801071. Let s = u + 8.721405. Let o = s - 4.3. Round o to five dps.
0.00003
Let q(u) = -993*u - 21. Let i be q(3). Let t be i - 0*2/16*4. What is t rounded to the nearest one thousand?
-3000
Let x = -2302 - -2301.99604. What is x rounded to four dps?
-0.004
Let t = -25.466 - 6.244. Round t to the nearest integer.
-32
Let r = -0.05 + 0.098. Let y = r - 0.0479. What is y rounded to five dps?
0.0001
Let p = -15 + -50. Let c be 100*(-5 + p)*20. Round c to the nearest one hundred thousand.
-100000
Let q = -6 - -7.2. Let c = 1.065 - q. What is c rounded to 2 decimal places?
-0.14
Let r = -1886 - -1886.0000001526. Round r to seven dps.
0.0000002
Let w = 0.017 - 0.287. Let i = w - -0.270000769. What is i rounded to seven dps?
0.0000008
Let o(y) = 299*y + 4. Suppose 4*s + s - 40 = 0. Suppose 2*a + s = 4*a. Let c be o(a). Round c to the nearest 100.
1200
Suppose 30 - 10 = 5*k, 0 = 2*y
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 7. Let l = 3 - d. Put p, -4, l in increasing order.
l, -4, p
Let m = 9 - 5. Suppose -5*r = -16 - m. Suppose 0 = 5*i - 26*q + 30*q - 21, -4*i + 3*q = 8. Put i, r, -2 in descending order.
r, i, -2
Let r = 3.9 - 0.9. Let g be 4 - (-225)/(-33) - -3. Put 5/2, r, g in increasing order.
g, 5/2, r
Let i(h) = h**3 - 3*h**2 - 1. Let s be i(2). Let q = 38 + -41. Let d(n) = n**3 + 3*n**2 - 2*n - 4. Let u be d(q). Sort s, u, -4 in decreasing order.
u, -4, s
Let u = -14 - -11.5. Let i = u + 2.1. Put 0.02, 0.1, i in increasing order.
i, 0.02, 0.1
Let s = -24 + 26. Let v = -3.2 - -3. Let q = 0.7 + -0.4. Sort s, v, q in increasing order.
v, q, s
Let h = -33 + 37. Sort h, 3, 28.
3, h, 28
Suppose -5*z + 5*w - 5 = 0, z - 4*w - 4 = -z. Suppose -2*c = -30 - 16. Suppose 21*k = c*k + 4. Sort 2, z, k.
z, k, 2
Let o(q) = 7*q - 85. Let d be o(13). Let b be (2/4)/(1/144). Let j be 19/d + (-12)/b. Sort j, -10, -3 in descending order.
j, -3, -10
Let o(u) = -11*u - 98. Let j be o(-9). Put -4, -2, j in decreasing order.
j, -2, -4
Let i = -1/14 - -4/7. Let j = -1613.6 + 1614. Sort j, -4, i in increasing order.
-4, j, i
Suppose -5*t = -3*t - 4. Let l be 9 + (1 - 4)/1. Suppose 0 = 2*u + t - l. Sort u, 0, -3 in descending order.
u, 0, -3
Suppose -8 + 23 = -3*r. Let b = 10 - 19. Put b, r, -3, -4 in increasing order.
b, r, -4, -3
Suppose -2*j = 68 + 56. Let m = j + 66. Put -2, 0.3, m, 1 in increasing order.
-2, 0.3, 1, m
Suppose -1135*w + 16 = -1127*w. Let a = 2.5 + -0.5. Let j = -1.8 + a. Sort w, j, 4.
j, w, 4
Suppose 6*v = 3*v + 6. Sort 4, v, 10 in increasing order.
v, 4, 10
Let s(x) = -x**3 - 2*x**2 - x - 1. Let p be s(-2). Let w = 1509 + -1507. Put p, -5, 0, w in decreasing order.
w, p, 0, -5
Let o(n) = -2*n**2 - 35*n - 136. Let c be o(-12). Put -1/4, -49, c in decreasing order.
-1/4, c, -49
Suppose 3*x + 0 + 22 = 2*o, 3*o = x + 19. Let u be (-14 - -13)/(-1*(-2)/(-6)). Suppose -11 = -u*h + 2*k, 3*k - 1 = h - 7. Put -3, o, h in decreasing order.
o, h, -3
Suppose -4*u + 9 - 1 = -3*r, 0 = -3*r - 5*u + 37. Suppose -2*s = 2*b + 2, 3*s + r*b = 3 - 2. Let i = s + 4. Sort -0.4, i, 2/15 in descending order.
2/15, -0.4, i
Suppose -67*v - 2220 = -7*v. Sort 0, 2, -3, v in decreasing order.
2, 0, -3, v
Let i = -0.09 + -9.91. Let h = i - -9.8. Let r = -80 + 84. Sort h, -1, r in increasing order.
-1, h, r
Let c = 50.7 + -51. Let o = 2/101 - 105/202. Put 4, -3, o, c in ascending order.
-3, o, c, 4
Let y(d) = -d**2 + 11*d - 26. Let j be y(6). Put -5, -3, j, -7 in decreasing order.
j, -3, -5, -7
Let v(k) = k + 1. Let m be v(-1). Let t = 0.3 + -1.3. Let p = 5 + t. Put -5, p, m in descending order.
p, m, -5
Suppose 2*f - 90 = -82. Put -2, -3, f in ascending order.
-3, -2, f
Let r be 6/3 + (0 - 3). Let q = r - 2. Let b(i) = i**2 + 5*i + 4. Let w be b(-3). Sort q, w, -5 in descending order.
w, q, -5
Let i be 2/(-2)*15/(-3). Let m = 45 - 45.3. Put i, m, 1 in descending order.
i, 1, m
Suppose 7*a = -10*a + 34. Sort -3, -5, a, -23.
-23, -5, -3, a
Suppose 6*g - 2*g + 4 = 2*x, 5 = 5*g. Let a be 6/x*4/3. Sort -2, a, -6 in decreasing order.
a, -2, -6
Let s(h) = -h**2 - h + 1. Let g be s(1). Let f = 633 + -637. Put f, 4, g, 6 in increasing order.
f, g, 4, 6
Suppose 13*o = 11*o - 10. Let y be -3 + 4/(-16)*0. Sort -1, y, o in increasing order.
o, y, -1
Let v = 40424/99 + -4494/11. Let r = -83/5 - -17. Sort v, r, -1/7 in descending order.
r, -1/7, v
Let c = -50 + 37. Let v = 9 + c. Put v, 5, 6 in increasing order.
v, 5, 6
Let h(a) = a + 6. Let y be h(-3). Let k = -15 - -11. Let n = k - -2. Sort 2, y, n in descending order.
y, 2, n
Suppose 5*r = 10*r + 25. Suppose 0 = z - 1 - 3. Let i be 3/(1/((-4)/(-4))). Put r, z, i in decreasing order.
z, i, r
Let b = -2353 - -2353.2. Let t be (-4)/(-7) + 2/(-2). Put 8, b, t in decreasing order.
8, b, t
Let z be (-46)/(-10) + (-27)/45. Suppose -z*c = c - 30. Let r be (2/12)/((-2)/c). Sort 0.2, r, 0.7 in descending order.
0.7, 0.2, r
Let a = -1.5 - -12. Let j = -0.53 + -9.47. Let o = j + a. Put 5, o, -5/6 in descending order.
5, o, -5/6
Let r = 525.1 + -525. Let w = 0.19 + -0.01. Sort r, 0.2, 4, w.
r, w, 0.2, 4
Suppose 2*r - 50 = 4*s, 6*r - 22 = 4*r - 3*s. Sort r, -3, 6 in descending order.
r, 6, -3
Suppose -2*a = 2*m - 28, 5*m = 4*a + 10*m - 61. Suppose 3*h = a - 3. Let l be ((-1)/(-1))/((-2)/4). Put l, 4, h in decreasing order.
4, h, l
Suppose 3*l - 3*i + 7*i = 8, -6 = -l + 2*i. Let v(u) = 4*u - 11. Let f be v(l). Sort f, 1, -5 in increasing order.
-5, 1, f
Let z = -28846 - -28895. Suppose -2*w + 4*c - 12 = 0, 35 = 5*c + 10. Put -3, -1, w, z in descending order.
z, w, -1, -3
Let y = -25/2 + 11. Let r be 92/(-20) + 4/(-10). Put 2/9, -4, y, r in ascending order.
r, -4, y, 2/9
Suppose 3*x = -d, 0 = -x - d + 8 - 10. Sort 248, x, 2, -3.
-3, x, 2, 248
Let z = 124 - 119. Suppose -4*r + 17 = -5*v + 4*v, 2*v + 16 = 2*r. Sort z, v, -3, 4 in increasing order.
v, -3, 4, z
Let m = 164 - 159. Sort 0.4, 3, m in increasing order.
0.4, 3, m
Suppose -5*c + 26 = 2*d, -4*d + 20 = -d - 2*c. Let h be 8 + -11 + 5 + 0. Suppose 0 = -4*o + 3*n + 11, d = 3*o + h*n - 13. Sort o, 2, -2 in descending order.
o, 2, -2
Let s(i) = -i**2 - 47*i - 188. Let g be s(-5). Suppose 0 = -w + 5*q - 28, w - 4*w + q - 14 = 0. Sort g, w, -5, -4 in ascending order.
-5, -4, w, g
Suppose u = a - 2, 0*u = -3*u - 5*a + 26. Put u, -3, -2, 4 in decreasing order.
4, u, -2, -3
Let i(c) = 15*c**2 - 2*c + 2. Let b be i(4). Let l be (-42)/b - 6/39. Put 1/3, l, -0.3 in decreasing order.
1/3, -0.3, l
Let m(x) = 20 - 4*x + 8*x - 2*x + 0*x. Let d be m(-13). Let j be (-4)/d*(-12)/(-16). Put 4, -3, j in descending order.
4, j, -3
Let d be (-3)/(-6 + 522/84). Put -1, d, -3 in decreasing order.
-1, -3, d
Suppose 0 = 5*r - 38 + 118. Let w = -31 + 15. Let t = r - w. Put t, 5, 1 in ascending order.
t, 1, 5
Let y = -1 - -1. Suppose 5*w - 4*w + 1 = y. Put -5, -4, w in increasing order.
-5, -4, w
Let t(r) be the third derivative of r**4/24 + 7*r**3/6 - 29*r**2. Let f be t(-12). Sort f, 3, 4 in decreasing order.
4, 3, f
Suppose 2*f + 3*h = -12, 0 = 55*f - 54*f + 4*h + 16. Sort f, 3, 0.4, -0.04.
-0.04, f, 0.4, 3
Let v = 145 + -146.088. Let l = 0.088 + v. Let u = -1.5 + 1. Put 6, u, l in decreasing order.
6, u, l
Let c = -36 - -33. Let h be ((-104)/(-24) - 7)/(2/c). Sort -5, 3, h in decreasing order.
h, 3, -5
Let r = 209.3 + -209.8. Sort -1, 17.7, 5, r.
-1, r, 5, 17.7
Suppose -3 + 1 = g. Let s = 20 - 33. Let i = s - -18. Sort g, i, 0.3 in decreasing order.
i, 0.3, g
Let m(k) = k - 23. Let d be m(19). Let b be 27/(-60)*d/3. Let r be ((-100)/52 + 2)*-2. Sort b, 3, r.
r, b, 3
Let l be -6 - 2/4*-6. Suppose 324 = -4*p - 0*p. Let r be p/(-24) + l + 0. Put 0, -1/2, r in decreasing order.
r, 0, -1/2
Let h be (-468)/117*(-2*1)/(-4). Suppose -2*z + 5*n + 13 = 0, n - 5*n = 5*z + 17. Put z, -4, 4, h in descending order.
4, z, h, -4
Let u(j) = j - 1. Let k be u(-1). Let z = -2307/4618 - 1/2309. Sort z, k, 0.1.
k, z, 0.1
Let z = -1/636 - -2387/1272. Let c = z - 19/8. Let w = 10 - 4. Sort -0.3, w, c in descending order.
w, -0.3, c
Let m = 0.1 - -1.9. Let x(h) = -h**3 + 6*h**2 + 6*h + 4. Let u be x(7). Put m, u, 5, -2 in descending order.
5, m, -2, u
Suppose -k + 129 = 2*w + 2*k, -4*k - 150 = -2*w. Let p be 23/w - 130/6*-1. Sort 1, p, -4 in decreasing order.
p, 1, -4
Let h be -2 + (-5)/(-25)*5. Let l be (3 - 3) + 1 + h. Sort -3, l, -1 in descending order.
l, -1, -3
Let d = -30 - -13. Let q = 15 + d. Let i(f) = -f**2 + 8*f - 6. Let y be i(7). Put q, y, -3 in descending order.
y, q, -3
Let q be (-2)/3*(-150)/20. Suppose 0 = -3*y - 15, -s - 3 = -5*s - q*y. Sort s, -1/7, -2/17 in decreasing order.
s, -2/17, -1/7
Suppose -s + 3*o + 12 = 2*s, 2*o = -2. Suppose 3*u - 14 = 4. Suppose w - s*w = -u. Put 0.2, 2, w in descending order.
w, 2, 0.2
Let i = -5.6 - -6. Put -4, i, 1.4 in decreasing order.
1.4, i, -4
Let u(g) = -g**3 - 11*g**2 - 24*g + 1. Let h be u(-8). Sort -3, -44, h, -2.
-44, -3, -2, h
Let u(j) = -j**3 + 4*j**2 + 17*j - 6. Let m be u(5). Sort 4, 5/6, 5, m in decreasing order.
m, 5, 4, 5/6
Let x be ((18/(-5))/(-3))/(82/(-205)). Let f(m) be the first derivative of -m**3/3 + 3*m**2 - 5*m - 1. Let t be f(6). Put t, x, -4 in ascending order.
t, -4, x
Suppose o + 5 = -3*j - 0, 2*o + j = 5. Let z(v) = 16*v + 65. Let f be z(-4). Sort f, -0.4, 0, o in descendi
|
{
"pile_set_name": "DM Mathematics"
}
|
s w(u) a composite number?
True
Let s(i) = -27*i**2 + 3*i - 2. Let r be (2 - -1)*(-13)/13. Let l be s(r). Let q = -120 - l. Is q prime?
False
Let h = -16 + 18. Suppose 411 + 107 = h*j. Is j prime?
False
Let y = 5965 - 552. Is y prime?
True
Suppose 1 = r - 4, -r = 5*c - 445. Suppose -3*u + c = -59. Is u prime?
False
Let j be 1 - -1117 - (-5)/((-10)/6). Suppose 529 = 6*d - j. Is d a prime number?
False
Let t = -7348 - -14345. Is t prime?
True
Let d be (19 + -70)*(-2)/6. Is 2694/2*d/51 composite?
False
Let j(c) = -25*c**3 - 3*c**2 - 7*c + 4. Let u(m) = 24*m**3 + 2*m**2 + 6*m - 4. Let r(f) = 5*j(f) + 6*u(f). Let s be r(5). Is (12/18)/(2/s) a composite number?
True
Suppose -5*a = 4*w - 3642 + 831, -2*w + 1428 = -2*a. Suppose w + 890 = 5*v + 3*s, v - s = 323. Is v a prime number?
False
Suppose 0 = 5*c - 45 - 55. Let z = c + -18. Suppose 710 = 2*f + 4*p, 2*p - 1420 = -z*f - 2*f. Is f a composite number?
True
Suppose 5*t - 4*r + 1422 = 8273, 6815 = 5*t + 5*r. Suppose 0 = 5*p + 2*j - 5*j - t, 4*p + j - 1080 = 0. Is p a composite number?
False
Let u(b) be the third derivative of b**4/24 + 2*b**3 + b**2. Let d be u(-7). Suppose d*c = 1093 - 158. Is c a prime number?
False
Suppose -3*r + 0 + 7 = 4*c, 4*c - 3*r = 1. Is 93*((-5)/(-3))/c a prime number?
False
Suppose -14 - 74 = 11*s. Let b(d) = 3*d**3 - 2*d**2 - 1. Let c be b(2). Let o = c - s. Is o a composite number?
False
Let n = -3 + 5. Let t(k) = -96*k**3 + 4*k**2 + 3*k + 2. Let j(i) = 48*i**3 - 2*i**2 - 2*i - 1. Let l(u) = -7*j(u) - 4*t(u). Is l(n) a composite number?
False
Suppose -4*j = -16, -4*k - j - 4*j = -252. Let y = k + 53. Is y prime?
False
Let k = -2610 + 4251. Is k a composite number?
True
Let i(h) be the second derivative of 2*h**4/3 - 5*h**3/6 + h**2/2 + 2*h + 1. Let s = -1 + -3. Is i(s) a composite number?
False
Let x(v) = 25*v - 15. Is x(8) a composite number?
True
Let q = -42 + 28. Let y = q - -16. Suppose 2*a + 0*l - 264 = y*l, 0 = -a - 2*l + 117. Is a composite?
False
Suppose 0*a + 3 = -a. Let v be ((-5)/a)/((-2)/(-612)). Let m = v - -131. Is m a prime number?
True
Suppose 15*n - 13*n = 0. Let o be n - (-12)/((-3)/(-1)). Suppose 2*y - 3*y - 1942 = -4*b, 0 = -o*b + 2*y + 1944. Is b composite?
True
Suppose -4*a + 26 = 2*h, a + 35 = 5*a + 5*h. Suppose -a*s - 141 = -4*d, 7*d = 3*d - 5*s + 131. Is d prime?
False
Suppose 3*l = 2*a - 901 - 481, -2*a + 4*l = -1386. Is a a prime number?
False
Is 2 - -3 - (-2709 + (-9 - -2)) a prime number?
False
Let u be 0 - (-1740 - (3 + 1)). Let z = u + -953. Let h = -102 + z. Is h a composite number?
True
Let w = 0 + 13. Suppose -w*y - 1527 = -14*y. Is y prime?
False
Is (156/(-130))/((-4)/15310) prime?
False
Let o be (-15)/(-4)*12/9. Suppose 0 = o*h + 26 + 24. Is 5/2*(-12)/h a prime number?
True
Let i be (1 + 37)/(2 + (-576)/285). Let z = 180 - i. Is z composite?
True
Let w(m) = 55*m**2 + 2*m + 17. Is w(-4) a composite number?
True
Let x = -27 - -46. Suppose -125 + x = -2*n. Is n a prime number?
True
Let v be (-6)/8 - (-138)/24. Suppose 0 = -f + r + 335, 758 + 933 = v*f + 3*r. Is f a composite number?
False
Let r(d) = d - 5. Let p be r(6). Let u(s) = -s - 5 - p + 11*s + 5. Is u(6) a prime number?
True
Let w be (1444/(-6))/(-1 + (-21)/(-27)). Let i = w + -398. Is i composite?
True
Suppose 3*x = -0*x - 18. Is 875 + ((-4)/1 - x) prime?
True
Let q(a) = 6*a + 3*a - a**2 + 5*a + 2 + 0*a. Is q(9) composite?
False
Suppose -4*m + 3*y + 181600 = -39213, -2*m + y = -110405. Is m a prime number?
True
Let s be 2 - -6*4/8. Is (-10 + s)*(-2 + 13*-5) a prime number?
False
Let l = -78 + 90. Suppose 2*y - 12 - 8 = 3*z, y - 22 = 3*z. Is ((-654)/9)/(z/l) composite?
False
Suppose 7040 = 9*g - 14713. Is g a prime number?
True
Let f be (-54336)/32*(6/4)/(-1). Let y = f + -746. Is y a prime number?
True
Is -3*(-1514 - -5) + 4 prime?
False
Let x be ((-5)/(-15))/((-2)/(-168)). Is x/8*(-38)/(-1) prime?
False
Let j be (-1520 + 18)/(0 + -1 - -3). Let r = j + 2190. Is r a prime number?
True
Let j(a) = 1075*a + 459. Is j(40) a composite number?
True
Let n(v) = v**3 + 2*v**2 - v + 41. Let x be n(0). Let a = x - 37. Suppose -q + a = -593. Is q a prime number?
False
Let h be ((-10221)/12 + 3)/((-2)/(-8)). Let w = h - -7978. Is w a composite number?
False
Let o = -272 - -1161. Is o prime?
False
Is (2*(4 - 3))/((-2)/(-9)) a prime number?
False
Suppose 3*b = -4*r + 18, 5*r - 3*b - 11 + 2 = 0. Let x be ((-1)/r)/(2/(-522)). Suppose 3*p = 4*d + 20 + x, -3*d - 71 = -2*p. Is p a composite number?
False
Suppose -2*i + 23506 = -4*s, -i - 3*s = -17766 + 6023. Is i composite?
True
Suppose u = 2*u. Let l be 4*(u - 2/(-4)). Suppose 742 = l*w - 2*v, -w - 2*v = w - 742. Is w prime?
False
Let k(n) = 43*n**2 + 42*n + 52. Is k(-23) a prime number?
False
Suppose -4*b - 2*x + 246 = 0, b - 3*x = -2*b + 198. Let o = -233 + b. Let m = o + 257. Is m prime?
False
Let g = 13153 - 3996. Is g composite?
False
Let h = 64 + -56. Suppose h*c + 1387 = 6075. Is c a composite number?
True
Let v = 113 - 98. Suppose 3*n + v = 0, 0 = 2*z - z + n - 2652. Is z a prime number?
True
Let h = 1 + 1. Suppose -18 = -2*u + 4*k, -h*u + 5*k = -4*u. Suppose 4*c - 2*l - 795 = c, -5*c - u*l = -1350. Is c prime?
False
Let f(r) be the third derivative of 7*r**5/30 - r**4/24 + r**3/6 - r**2. Let u = -16 - -17. Is f(u) composite?
True
Let l be (0 + -195)*72/(-20). Suppose -2*w + 56 + l = 0. Is w a composite number?
False
Let b = -21 + 22. Let h(j) = 12*j - 27*j**3 - 4*j - 6*j - b. Is h(-2) a prime number?
True
Let n(h) = 3642*h**2 - 4*h + 3. Is n(1) composite?
True
Is ((10 - 12)/8)/((-2)/29528) prime?
True
Suppose -s + 4*u + 19 + 32 = 0, 4 = u. Let l = -48 + s. Is l a composite number?
False
Suppose o = 8*o + 21. Is 22665/18 + o/18 prime?
True
Is (-4346328)/(-144) + 2*1/12 a prime number?
False
Let r be 244/14 - 3/7. Suppose -r = -5*f + 28. Is f/27 + (-112)/(-6) composite?
False
Suppose -4*n = -2*l - 68860, -47*n + 51631 = -44*n + 2*l. Is n a prime number?
False
Suppose -m = -3*d + 10, -3*d + 5*m = -6*d + 40. Let a = -7 + d. Let i(o) = -104*o + 3. Is i(a) prime?
True
Suppose 5*h - x = 695102, -33006 = -4*h + 4*x + 523066. Is h a composite number?
False
Suppose -5*c + 54677 = -156108. Is c a prime number?
True
Suppose -18222 = -6*f + 24876. Is f prime?
False
Let t be (56/70)/((2/2)/5). Suppose -t*k - 1405 = 2*u - 8801, -7384 = -4*k + u. Is k a prime number?
True
Let g(w) = 50239*w**3 + w**2 + 15*w - 16. Is g(1) prime?
False
Let a be 3/(-12) - (-830)/(-8). Let b = a - 91. Let m = b + 502. Is m composite?
False
Suppose -f + 3*n = -8, -4*f + 0*n = -3*n - 14. Suppose -6*x - 5*w = -f*x - 5266, 5*w + 10 = 0. Suppose -4*z - v + x = 0, 0*z + 5*z - 1675 = 4*v. Is z composite?
False
Suppose -3*b = -2*q + 899, -1391 = 9*q - 12*q - 4*b. Is q composite?
False
Let v be (4 - 4 - -3229) + -3. Suppose -v - 4498 = -4*c. Is c a prime number?
True
Let x be (-1 + -3)/(1/(-1)). Let v be 6104/112 + 1/2. Suppose -3*a + 66 = 3*t, -2*a - v = -x*t + 27. Is t composite?
True
Let w be (-11 - -9)*34/4. Let r = w + 30. Is r prime?
True
Let j be -2 - (4 - 467) - -3. Suppose 2*f + v = 309 + 167, -2*f = -5*v - j. Is f prime?
False
Let x(j) = 4*j**3 + 3*j**2 + 2*j - 7. Suppose -t + 15 = 2*t. Let p be x(t). Suppose 2*f - 123 + p = 3*z, -f - 600 = -4*z. Is z a prime number?
True
Let p = 14291 - 5830. Is p prime?
True
Suppose -5*w = -32 - 58. Suppose 0 = 4*q + 2*o - 504, -4*o + 7*o = 4*q - 484. Suppose 2*r - q + w = 0. Is r a prime number?
True
Let w = 8 - -103. Suppose -w*t = -115*t + 508. Is t a composite number?
False
Let w = 51 - -2402. Is w a composite number?
True
Let f(y) = -2*y - 38. Let s be f(-20). Suppose -s*t = 3*j - 937, t - 5*j - 488 = -0*j. Is t a composite number?
True
Let s(d) = -3*d**2 - 8*d + 10. Let b(g) = 6*g**2 + 15*g - 19. Let m(i) = 3*b(i) + 5*s(i). Let w = -67 - -72. Is m(w) a prime number?
False
Let r(s) be the second derivative of 65*s**4/3 + s**3/6 + 5*s. Let n = -24 + 23. Is r(n) a prime number?
False
Let d be -4 - (-3 + 0) - -761. Let h(k) = k**2 - 6*k + 6. Let x be h(6). Suppose 5*c - 5*m = d, 6*m - 4*m - x = 0. Is c prime?
False
Let y(k) = -25 + k**3 + 3*k**3 + 19*k - 3*k**2 - 5*k**3. Is y(-18) composite?
False
Is (-1*31173)/(-6 + (3 - -2)) a prime number?
False
Let x = -1127 + 717. Let b = 119 - x. Is b a prime number?
False
Let z(n) = 823*n**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is prob of sequence xbz?
25/546
What is prob of sequence sll when three letters picked without replacement from lszllskl?
1/14
Calculate prob of sequence uluu when four letters picked without replacement from ffnflffflffffufff.
0
Calculate prob of sequence jtzj when four letters picked without replacement from tjjuuttjuzuju.
3/1430
Calculate prob of sequence ggl when three letters picked without replacement from blgplbllglplb.
1/143
Two letters picked without replacement from aoao. What is prob of sequence aa?
1/6
Two letters picked without replacement from rgrgrg. Give prob of sequence rr.
1/5
Two letters picked without replacement from {e: 10, f: 1, a: 6}. Give prob of sequence ef.
5/136
What is prob of sequence igin when four letters picked without replacement from {i: 2, g: 1, n: 3, l: 1}?
1/140
Two letters picked without replacement from vvvvvvvvvdvvvvvvvv. What is prob of sequence vd?
1/18
Calculate prob of sequence yi when two letters picked without replacement from {i: 4, y: 3, o: 1, r: 5}.
1/13
Two letters picked without replacement from {h: 1, f: 5, v: 1, a: 2, m: 4, k: 2}. What is prob of sequence km?
4/105
Calculate prob of sequence jbjj when four letters picked without replacement from baajajjajjajoajbja.
7/765
Three letters picked without replacement from aaaaccazzzz. What is prob of sequence zaz?
2/33
Four letters picked without replacement from ddddddddkdddddddmdd. What is prob of sequence dddd?
35/57
Calculate prob of sequence vut when three letters picked without replacement from {u: 4, t: 5, v: 7}.
1/24
What is prob of sequence zzj when three letters picked without replacement from wzjznznhddzzwdndwwww?
1/342
Two letters picked without replacement from hhhhhh. Give prob of sequence hh.
1
Two letters picked without replacement from {r: 5, b: 8, o: 1, a: 5, p: 1}. Give prob of sequence ar.
5/76
Four letters picked without replacement from nseswwnasnss. What is prob of sequence sens?
1/198
Four letters picked without replacement from {z: 9, v: 9}. What is prob of sequence zzvv?
6/85
Calculate prob of sequence rvms when four letters picked without replacement from svrsahvrsassm.
1/858
Calculate prob of sequence qdqd when four letters picked without replacement from ddddqhhqdqdqdqq.
1/26
Calculate prob of sequence cci when three letters picked without replacement from svidcsscrci.
2/165
Two letters picked without replacement from {u: 1, g: 2, x: 1, r: 11, h: 1, s: 2}. Give prob of sequence sg.
2/153
Two letters picked without replacement from wlwypcyel. What is prob of sequence ec?
1/72
Two letters picked without replacement from nnjjqqnj. What is prob of sequence jq?
3/28
What is prob of sequence lhlh when four letters picked without replacement from hhhhhlhhlllhhh?
45/1001
Two letters picked without replacement from {m: 7, g: 5}. What is prob of sequence mg?
35/132
What is prob of sequence ic when two letters picked without replacement from {u: 1, i: 2, k: 1, c: 1}?
1/10
What is prob of sequence mhc when three letters picked without replacement from ccmhcchhcmhccccm?
9/280
Three letters picked without replacement from {i: 14, n: 1}. What is prob of sequence ini?
1/15
Two letters picked without replacement from fzczazzaz. Give prob of sequence zz.
5/18
What is prob of sequence yp when two letters picked without replacement from {a: 1, s: 1, k: 2, p: 5, f: 2, y: 4}?
2/21
Two letters picked without replacement from okkkkkkookkk. Give prob of sequence ok.
9/44
Three letters picked without replacement from vjottssjh. Give prob of sequence jot.
1/126
Three letters picked without replacement from pppppwpppw. What is prob of sequence ppw?
7/45
What is prob of sequence qc when two letters picked without replacement from {c: 3, q: 5}?
15/56
Calculate prob of sequence fskd when four letters picked without replacement from sfsfffksqdfsqfssfds.
49/46512
Calculate prob of sequence sxs when three letters picked without replacement from xsxsxsssssxssxss.
55/336
Two letters picked without replacement from wwwwwwwwwwwxxwwwxwx. Give prob of sequence xx.
2/57
Three letters picked without replacement from wwwwwwwwww. What is prob of sequence www?
1
Two letters picked without replacement from belbsbesobbbssb. What is prob of sequence ee?
1/105
Two letters picked without replacement from lbhbpyq. Give prob of sequence bh.
1/21
Two letters picked without replacement from {g: 7, l: 1}. Give prob of sequence lg.
1/8
Two letters picked without replacement from rtzktrzkkrkkktk. What is prob of sequence rt?
3/70
Four letters picked without replacement from {k: 3, s: 5, y: 2, b: 2}. Give prob of sequence byky.
1/990
Calculate prob of sequence nj when two letters picked without replacement from jdn.
1/6
Three letters picked without replacement from {z: 1, k: 9, i: 1, b: 3}. Give prob of sequence zbk.
9/728
What is prob of sequence uzhw when four letters picked without replacement from {u: 1, z: 1, m: 5, w: 2, h: 9}?
1/4080
Calculate prob of sequence xri when three letters picked without replacement from {x: 6, r: 5, i: 7, y: 1}.
35/969
What is prob of sequence yyyy when four letters picked without replacement from yppyppp?
0
Two letters picked without replacement from {d: 2, v: 2, f: 3, g: 9}. What is prob of sequence gv?
3/40
Calculate prob of sequence uu when two letters picked without replacement from wwwwtwttwtwutwu.
1/105
Three letters picked without replacement from mmrrmmm. Give prob of sequence mmm.
2/7
Calculate prob of sequence rwfr when four letters picked without replacement from {r: 2, w: 5, f: 8, m: 1}.
1/546
Two letters picked without replacement from {n: 2, v: 3, j: 1, y: 1, k: 6}. What is prob of sequence nk?
1/13
What is prob of sequence msl when three letters picked without replacement from llmsggmglllmmgg?
2/273
Two letters picked without replacement from {m: 1, r: 5, j: 4, p: 2, l: 1, n: 7}. What is prob of sequence lr?
1/76
Four letters picked without replacement from {z: 4}. Give prob of sequence zzzz.
1
Calculate prob of sequence ln when two letters picked without replacement from pllnnlnp.
9/56
Calculate prob of sequence ewm when three letters picked without replacement from {m: 1, e: 1, w: 2}.
1/12
Four letters picked without replacement from iocii. What is prob of sequence ciio?
1/20
Two letters picked without replacement from {g: 1, o: 1, c: 2, m: 3, j: 7}. Give prob of sequence cg.
1/91
Calculate prob of sequence dr when two letters picked without replacement from prdrdhhhdc.
1/15
Three letters picked without replacement from coyocnc. Give prob of sequence cco.
2/35
Two letters picked without replacement from {y: 1, r: 1, l: 2, u: 4, p: 3}. What is prob of sequence pl?
3/55
What is prob of sequence uuuu when four letters picked without replacement from oomwvmmmjvvu?
0
Three letters picked without replacement from dqqsxaza. What is prob of sequence qxa?
1/84
Calculate prob of sequence nbh when three letters picked without replacement from {e: 2, p: 1, n: 2, b: 8, h: 1}.
2/273
What is prob of sequence phpp when four letters picked without replacement from {p: 3, h: 2}?
1/10
What is prob of sequence qss when three letters picked without replacement from {q: 8, s: 2}?
1/45
Two letters picked without replacement from {g: 2, y: 2}. Give prob of sequence gg.
1/6
Four letters picked without replacement from {c: 4, t: 2, j: 2, f: 2, i: 7}. What is prob of sequence itij?
1/340
What is prob of sequence btv when three letters picked without replacement from ohhvbttoot?
1/240
What is prob of sequence pip when three letters picked without replacement from ppippppippp?
8/55
Calculate prob of sequence tts when three letters picked without replacement from {t: 4, v: 8, s: 2}.
1/91
Two letters picked without replacement from {x: 1, j: 4, i: 4, s: 6}. What is prob of sequence ji?
8/105
What is prob of sequence ool when three letters picked without replacement from {o: 7, l: 4, t: 3}?
1/13
What is prob of sequence hnh when three letters picked without replacement from nndhhhdhhd?
1/18
Two letters picked without replacement from fnn. Give prob of sequence nf.
1/3
What is prob of sequence mw when two letters picked without replacement from dffmw?
1/20
Three letters picked without replacement from jzagaoog. What is prob of sequence ogj?
1/84
C
|
{
"pile_set_name": "DM Mathematics"
}
|
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