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*z**3 + 5*z**2 + 2. Let g be f(10). Round g to the nearest one million.
-7000000
Let v(x) = -x - 2. Suppose 20 = -9*k + 4*k. Let n be v(k). Let f be (-4)/n - 309997 - 1. What is f rounded to the nearest 100000?
-300000
Let x(t) = t**3 - 2*t**2 + 2*t - 2. Let m be x(2). Let k(i) = -4*i + 2*i - 9*i**m + 0*i - 3*i. Let p be k(-5). Round p to the nearest 1000.
0
Let t = -16 - -15.9. Let q = 0.1000056 + t. Round q to 6 dps.
0.000006
Let c = 18745857.9999997 - 18745854. Let p = c + -4. What is p rounded to 6 decimal places?
0
Let s = 0.8 - 0.66. Let p = s + -0.52. Round p to one decimal place.
-0.4
Let y be (-99992)/(-20) - (-2)/5. What is y rounded to the nearest 10000?
10000
Let s = 50 - 49.914. Round s to 2 decimal places.
0.09
Let i = -1445 + 1445.0000867. What is i rounded to five decimal places?
0.00009
Let b(v) = -55*v + 15. Let x be b(9). What is x rounded to the nearest 100?
-500
Let s = 0.08 + -37.08. Let v = -36.9903 - s. Round v to three dps.
0.01
Let z = 12 - 21. Let s = -17507271.000007 - -17507280. Let l = s + z. What is l rounded to 6 decimal places?
-0.000007
Let y = -7.8 - -7. Let d = y - -0.15. What is d rounded to 1 dp?
-0.7
Let g be (-4 + 3)*(62 - 1) + 2. What is g rounded to the nearest 10?
-60
Let m(k) = 55*k**3 + 3*k**2 - 6*k + 1. Let z be m(6). Let b = z + -2453. What is b rounded to the nearest one thousand?
10000
Let s = -62 + 61.854. Round s to 2 dps.
-0.15
Let b = -16 + 31. Let v = 14610486.999942 + -14610472. Let u = v - b. What is u rounded to 5 dps?
-0.00006
Let u = 5.58 - 5. What is u rounded to 1 decimal place?
0.6
Let b = 398 + -166. Let s = -718.745 - -486.838. Let d = s + b. What is d rounded to 2 decimal places?
0.09
Let f = -163 + 159.51. What is f rounded to zero dps?
-3
Let o = -7615.468 - -7634. Let r = -0.032 + o. Let l = 26 - r. Round l to the nearest integer.
8
Let q be (-2 - -28)*(-2)/(-4). Let s = 504 - q. Suppose w - 7409 = s. What is w rounded to the nearest one thousand?
8000
Let r = -217.0163 + 217. Round r to three decimal places.
-0.016
Let x(f) = -f**2 + 9*f + 13. Let m = -14 + 24. Let t be x(m). Suppose 3*q + q + 2 = -t*o, 32 = 2*o - 4*q. Round o to the nearest integer.
6
Let a(v) be the third derivative of -16801*v**4/24 + 5*v**3/6 - 2*v**2. Let h be a(5). Round h to the nearest ten thousand.
-80000
Let t = 3.93 + -4. What is t rounded to 2 dps?
-0.07
Let a be ((-9800)/12)/((-1)/(-12)). Round a to the nearest one thousand.
-10000
Let u = -325.99734 + 326. What is u rounded to three decimal places?
0.003
Let z be (-2)/6 - 30780003/(-9). Round z to the nearest one hundred thousand.
3400000
Let t = -0.669 + 0.6. Round t to 2 dps.
-0.07
Let y = -194289 + -360601. Let d = -554913.20109 - y. Let q = 23.2 + d. Round q to 4 dps.
-0.0011
Let m = -12 - -18. Let i = -6.36 + 12.34. Let q = m - i. Round q to one decimal place.
0
Let n = -0.24 + 1.34. Let m = n + -1.35. What is m rounded to 1 dp?
-0.3
Suppose -49833 - 187467 = -3*n. Round n to the nearest 10000.
80000
Let b = -17.85 + -0.15. Let r = -12599.893 + 12617.8929956. Let u = r + b. Round u to six decimal places.
-0.000004
Let l be (2 - 2) + -1 + 4. Let i(h) = -1 - l - 13*h + 0. Let q be i(-3). Round q to the nearest 10.
40
Let w(q) = 263*q**3 + q**2. Let f be w(5). What is f rounded to the nearest 10000?
30000
Let o(u) = -5*u + 3. Let f be o(2). Let p = 7 + f. Suppose a = -p*a - 140. Round a to the nearest 100.
-100
Let d(x) = 3*x - 1. Let w be d(2). Suppose 0 = -2*h + 4*h - 2. Suppose 5*k = -3*i + 839990, -3*k - h = w. What is i rounded to the nearest 100000?
300000
Let s = 0.05 + -0.03. Let f = s - 6.52. Let z = 6.50059 + f. What is z rounded to four decimal places?
0.0006
Let l = -363.272 - 2674.398. Let v = l - -2986. Let f = 51 + v. What is f rounded to 1 decimal place?
-0.7
Suppose 5 - 2 = -3*u. Let i be (-26*(0 + 1))/u. Round i to the nearest ten.
30
Let x be 3549999 + -2 - 3/(-1). Suppose d - 6*d + x = 0. Round d to the nearest 100000.
700000
Suppose l + 2*k = 3029992, 8*k = 3*l + 3*k - 9090020. What is l rounded to the nearest 100000?
3000000
Suppose 0 = 2*c + 2*k - 15314634, 4*c + 2*k - 30629266 = -k. Let q = c + -14557315. Round q to the nearest 1000000.
-7000000
Let x = -997.78853 - -940.7883. Let n = -107 - -164. Let p = x + n. Round p to four dps.
-0.0002
Let y = 4.863 + 2391.137. Let u = -2549.3 + y. Let c = -161 - u. What is c rounded to the nearest integer?
-8
Let r = 1.34 - 1.2. Let k = r - 1.89. Let d = -2 - k. What is d rounded to 1 decimal place?
-0.3
Let t(l) = -3*l + 13. Let r be t(9). Let m be (360/(-14))/((-2)/r). What is m rounded to the nearest ten?
-180
Let n = 35 + -35.0042. Round n to 3 decimal places.
-0.004
Let y(b) = b**2 + 12*b + 7. Let q be y(11). Let g be 2*q*15000/6. What is g rounded to the nearest 1000000?
1000000
Let f = 16.7 - -1.4. Round f to 0 decimal places.
18
Let b be 3/(-12) - (-25)/4. Let y(r) = -1305*r**2 - 1 - 3*r + 1 - 2. Let g be y(b). Round g to the nearest 10000.
-50000
Let h be 59*(-4 + 3008 + -4). What is h rounded to the nearest 10000?
180000
Let a = 5.8 - 8.5. Let t = a - -2.70000088. What is t rounded to 7 decimal places?
0.0000009
Let h = -6.0839 - -7.083925. Let w = 0.91 - -0.09. Let c = w - h. What is c rounded to five decimal places?
-0.00003
Let y = 9.9878 - 10. What is y rounded to three decimal places?
-0.012
Let g = -2912151.8099907 - -2912152. Let s = g - 0.19. Round s to 6 dps.
0.000009
Let b = -0.96231 - -0.9223. Let j = -0.04 - b. Round j to five dps.
0.00001
Let c = 16.0000083 - 16. What is c rounded to 6 dps?
0.000008
Let p = -5 - -5.4. Let n = p + -3.6. What is n rounded to the nearest integer?
-3
Let o = 3.182 + -3.74. What is o rounded to one dp?
-0.6
Let x be 112/49 - (-4)/(-14). Suppose -4*h = 3*y + 18800, -x*h = y + 13541 - 4141. What is h rounded to the nearest one thousand?
-5000
Let l = -1506 - -3556. What is l rounded to the nearest 100?
2100
Let w = 0.932764 - 42.933944. Let m = -42 - w. What is m rounded to 4 dps?
0.0012
Let x(n) = 17038*n**3 - 2*n**2 - 3*n + 1. Let q be x(3). Round q to the nearest 100000.
500000
Let y = -2.8752496 + -0.22474988. Let b = -3.1 - y. What is b rounded to 7 decimal places?
-0.0000005
Let n(q) = -4249*q - 16. Let a be n(16). Round a to the nearest 10000.
-70000
Let k = 3993181.800023 + -3993162.8. Let y = -19 + k. What is y rounded to 5 dps?
0.00002
Let t = -109 + 122.5. Round t to zero decimal places.
14
Suppose 0 = -5*c + 106 + 74. Suppose 0*u = u + c. What is u rounded to the nearest ten?
-40
Let r = 1.99 - -0.01. Let g = r + -8. Let m = g + 2.4. Round m to the nearest integer.
-4
Let n = -23.4 + 23.39999323. Round n to six decimal places.
-0.000007
Let y = 275.87 + -271. Round y to one decimal place.
4.9
Suppose -3*t + 80 = t. Let b be t/(-4)*(-376)/10. Let a = 1118 - b. What is a rounded to the nearest one hundred?
900
Let a = -0.48 + 0.7. Let i = 0.2 - a. Let b = i - -0.5. What is b rounded to 1 dp?
0.5
Let j = 7.6999805 - 7.7. What is j rounded to six dps?
-0.00002
Suppose 0*n + 21 = -3*h + 3*n, 5*n = -25. Let x be h/10 - (-2)/10. Let d be -2113 - (x + -2 + 0). What is d rounded to the nearest one hundred?
-2100
Let b = -294313359746600.02 + 294315435273480.0199957. Let n = 2075526985 - b. Let d = n - 105. Round d to six decimal places.
0.000004
Let w = 32.2618 - 32.2. Let m = 26.0422 + w. Let y = -26 + m. What is y rounded to 2 dps?
0.1
Let f = 0.0151 - 0.0151241. Round f to 6 decimal places.
-0.000024
Let d = -0.07 + 0.15. Let i = 2.11 - 2.1904. Let c = i + d. Round c to four dps.
-0.0004
Let z = -315.25 + 287.283. Let w = -28 - z. Let y = 0.493 + w. Round y to 1 decimal place.
0.5
Let a = -0.39 - -3.79. Let o = 8 - 14. Let i = o + a. Round i to the nearest integer.
-3
Let d be 4/(-16) - 1/(-4). Suppose -3*g - 3*y - 39123 = -d*y, 5*g + 65178 = 4*y. Let f = 40962 - g. What is f rounded to the nearest 10000?
50000
Let k(f) = -f**3 - 6*f**2 - 19*f - 14. Let d be k(-9). Round d to the nearest ten.
400
Let a = 6 - 11. Let y = a + 5.00015. Round y to four dps.
0.0002
Let x = 11 - 10.2. Let v = 0.81 - x. What is v rounded to three decimal places?
0.01
Let b = -0.09 + -15.91. Let y = -15.964 - b. Round y to two dps.
0.04
Let i(y) = 2*y**3 - 2*y**2 + 2. Let o(s) = -s**3 + s**2. Let a(x) = i(x) + 3*o(x). Let z be a(2). Round z to t | {
"pile_set_name": "DM Mathematics"
} |
h**2*i + 4*h*i**2 + 3*h*i - 1015 wrt h?
-42*i**2 + 1232*i
What is the third derivative of -3*k**3*t**3 + 2*k**3*t**2 - 31*k**3 - 72*k**2*t**3 + 41*k**2*t**2 + 5*t**3 + 3*t wrt t?
-18*k**3 - 432*k**2 + 30
What is the first derivative of 41*b*o + 17*b + 30085*o wrt b?
41*o + 17
What is the derivative of -36035*b - 7357 wrt b?
-36035
What is the third derivative of 3*h**3*o*u - h**3*o - 135439*h**3 - 3*h**2*o - 3*h**2 - 2*h*o*u - o*u + 6*o - 335 wrt h?
18*o*u - 6*o - 812634
What is the derivative of 1175*h*k**2 - 2*h + 15*k - 24892 wrt k?
2350*h*k + 15
What is the second derivative of 3538644*j**3 + 2874192*j wrt j?
21231864*j
What is the derivative of -24658*a**2 - 29*a + 4578798?
-49316*a - 29
Find the third derivative of 250647*s**3 + 59236*s**2 - s + 1 wrt s.
1503882
What is the first derivative of -12*w**4 + 4*w**2 - 55*w - 63073?
-48*w**3 + 8*w - 55
What is the third derivative of 5*a**3*r**3 - 5*a**3*r**2 + 88*a**3*r - 789*a**2 + 2*a*r**3 - 2*a*r**2 + a wrt a?
30*r**3 - 30*r**2 + 528*r
Find the first derivative of -3*m**2*n**3 + 6430*m**2*n + 10*m**2 - 2*m + 232 wrt n.
-9*m**2*n**2 + 6430*m**2
Differentiate 1560618*c**2*g**3 - 54197*c**2 - c + 2 wrt g.
4681854*c**2*g**2
Find the second derivative of -550146*m**4 + 2876807*m.
-6601752*m**2
What is the third derivative of -46596*g**6 - 2475*g**2 - 15*g wrt g?
-5591520*g**3
Differentiate -11*j**3*w - 4*j**3 + 3*j**2*y - 26*j*w + 53*j*y - 2*j + 4*w*y with respect to w.
-11*j**3 - 26*j + 4*y
Find the third derivative of 2*b**3*l**3 + 2*b**3*l**2 + 78*b**3*l + 3*b**2*l**3 + b**2*l**2 + b**2 - 2*b*l**3 + 153*b*l**2 - 3*l**3 wrt l.
12*b**3 + 18*b**2 - 12*b - 18
Find the second derivative of 91*a**3*g**3 - 4*a**3*g + 229*g**4 - 23566*g wrt g.
546*a**3*g + 2748*g**2
What is the second derivative of -266251*i**2 + 626649*i + 2 wrt i?
-532502
Find the first derivative of 25613*f*o + 4*f + 2*o - 5419 wrt o.
25613*f + 2
What is the third derivative of 346937*v**3*w**3 + 2*v**2*w**3 - v**2*w + v*w**3 + 1438*v - 33*w**3 wrt v?
2081622*w**3
What is the third derivative of -26360*w**5 - 99358*w**2?
-1581600*w**2
Find the second derivative of 391862*h**2 + 171*h - 1899.
783724
Find the second derivative of b**3*k**2 - 5*b**3*k + 151*b**2*k + 2*b*k + b + 1460025*k**2 - 3 wrt k.
2*b**3 + 2920050
Find the third derivative of -46816*s**6 + 275613*s**2 wrt s.
-5617920*s**3
What is the first derivative of -140417*j**3 - 94760?
-421251*j**2
What is the third derivative of -275*g**6*s*u + 73*g**3*u**2 + 3*g**2*s*u - 28*g**2*u - g*s*u**2 - s - 12*u**2 wrt g?
-33000*g**3*s*u + 438*u**2
What is the first derivative of 110944*n**4 + 827381?
443776*n**3
Find the second derivative of -31823*q**4 - 2*q + 2438.
-381876*q**2
What is the second derivative of -50*b**2*j + 5*b**2 - 2*b*j + 9*b + 1127 wrt b?
-100*j + 10
What is the second derivative of -1079*r**2*v**5 + 181*r**2*v**3 - r**2*v - 140*r**2 + 4*r*v - 26*v + 6 wrt v?
-21580*r**2*v**3 + 1086*r**2*v
Find the second derivative of 23*n**4 + 1890*n**2 - 365362*n.
276*n**2 + 3780
Find the second derivative of 60544*t**4 - t**2 + 253679*t wrt t.
726528*t**2 - 2
What is the second derivative of 1848933*s**5 + 2002953*s wrt s?
36978660*s**3
Find the first derivative of -12386*a**3*q + a**3 - 4574*a**2 - 2*a wrt q.
-12386*a**3
What is the third derivative of -12*a**6 + 416*a**4 - 119988*a**2 wrt a?
-1440*a**3 + 9984*a
Find the third derivative of 74888*f**4 + 54*f**2 + 24*f + 1 wrt f.
1797312*f
Differentiate -17117*t**2*x*y - 36*t**2*x - 54*t**2 + 7*t*x*y - 6*t*x + t - 2*x - y with respect to y.
-17117*t**2*x + 7*t*x - 1
Find the second derivative of 71493*a**2 + a + 330 wrt a.
142986
What is the third derivative of 1157*d**2*x**3 + d**2*x**2 + 136*d**2 + 1969*d*x**3 + 4*d*x**2 + 515*x**2 + 2 wrt x?
6942*d**2 + 11814*d
Differentiate 10*f**3*i*w*x + 5*f**3*i*x + 5*f**3*x + 4479*f*i*w*x + 1061*f*i*x wrt w.
10*f**3*i*x + 4479*f*i*x
Find the second derivative of -k**2*l**2 - 1616750*k**2 - 1465443*k*l**2 + 2*l**2 wrt k.
-2*l**2 - 3233500
What is the first derivative of 10*y**4 - 6*y**3 - 64*y**2 + 2*y + 169043 wrt y?
40*y**3 - 18*y**2 - 128*y + 2
Find the second derivative of -2*a**5*s**2 + 75224*a**3*s**3 + 12*a*s + 2940*s**3 wrt a.
-40*a**3*s**2 + 451344*a*s**3
What is the third derivative of -43*c**3*d**3*t - 2*c**3*t + 66*c*d**2*t**2 - 2*c*d**2*t - 2651*d**3*t**2 - 829*d*t**2 wrt d?
-258*c**3*t - 15906*t**2
Find the second derivative of 60282*b**3 - 78721*b wrt b.
361692*b
What is the derivative of -3*q**3 + 15826*q**2 + 4*q - 415389?
-9*q**2 + 31652*q + 4
Differentiate 354982*s**4 + 398823 with respect to s.
1419928*s**3
Find the second derivative of 1188*z**5 - 599*z**2 + 1293*z + 271 wrt z.
23760*z**3 - 1198
Find the third derivative of -901*z**6 + 194*z**3 - 2*z**2 - 2*z + 207214.
-108120*z**3 + 1164
What is the third derivative of 2*v**4*x**2 - 334*v**4 - 48*v**3*x**2 + v**2*x + 848*v*x - 2*x**2 wrt v?
48*v*x**2 - 8016*v - 288*x**2
Find the first derivative of -108416*c**2 - 128906.
-216832*c
Find the third derivative of 38*f**6 - 10601*f**3 - 266620*f**2 + 2.
4560*f**3 - 63606
Find the second derivative of 2*k**3*w**3 + 3*k**2*w**3 - 1698*k**2*w - 354*k*w**2 - 76*w**3 wrt k.
12*k*w**3 + 6*w**3 - 3396*w
Find the third derivative of 4871*r**3*t**2*u**2 - 5*r**3*t*u**3 + 2*r**3*t - 40033*r**2*t**2*u**3 + 26*t**2*u wrt u.
-30*r**3*t - 240198*r**2*t**2
What is the first derivative of -357703*p - 838021?
-357703
Find the first derivative of -292220*c**3 - 2449830 wrt c.
-876660*c**2
Find the third derivative of 72762*m**3 + 3*m**2 - 4*m - 476 wrt m.
436572
What is the derivative of 62926*o - 36014 wrt o?
62926
Differentiate 10*j**2 - 9*j*x + 729*j - 2041894*x with respect to j.
20*j - 9*x + 729
Differentiate 210240*z - 126355 wrt z.
210240
Find the first derivative of -4*h**3 + 127*h**2 - 64*h + 623840.
-12*h**2 + 254*h - 64
Find the first derivative of 56703*b**4 + 62268.
226812*b**3
Differentiate -87058*u + 20606.
-87058
What is the first derivative of 86086*a*b - 79045*a - b**2 + 2 wrt b?
86086*a - 2*b
What is the second derivative of -x**4 - 246*x**3 + 15*x**2 - 103826*x wrt x?
-12*x**2 - 1476*x + 30
What is the second derivative of 839894*h**4 + h**3 - 2*h**2 - 71671*h - 2 wrt h?
10078728*h**2 + 6*h - 4
Differentiate 41782*b + 108255.
41782
What is the first derivative of 3414*b*c*t - 9*b*c - 3*b*t + 3*b + c*t - c + 70*t + 3 wrt c?
3414*b*t - 9*b + t - 1
Find the second derivative of 3*o*r*u**3 - o*r*u**2 - o*r*u + o*u**3 + o*u**2 - o*u + 12*o - 2*r*u - 30*u wrt u.
18*o*r*u - 2*o*r + 6*o*u + 2*o
Find the second derivative of 41040*q**2 + 294*q - 221 wrt q.
82080
What is the third derivative of -122*h*j**3*n - h*j**3 + h*j*n - 3*h*n*o**2 - 174*j**3*o**2 - 196*j**2*o**2 + j**2*o - n*o**2 wrt j?
-732*h*n - 6*h - 1044*o**2
Find the third derivative of 26286*r**3 - 2*r**2 - 21182*r wrt r.
157716
Find the third derivative of -112749*t**4*x**2 + t**2*x**2 + 63005*t**2 wrt t.
-2705976*t*x**2
What is the third derivative of 2806*u**4 + 4*u**3 + 148759*u**2?
67344*u + 24
Find the third derivative of 5244*k**3 - 60333*k**2 - 2 wrt k.
31464
Find the third derivative of -2*p**5 - 1255739*p**4 + 2404948*p**2.
-120*p**2 - 30137736*p
What is the first derivative of -5*q**2*x + 126242*q**2 - 47818*x wrt x?
-5*q**2 - 47818
Find the second derivative of -36*q**4*s**2 + 1117*q**3*s - 2477*q*s - 10*s**2 wrt q.
-432*q**2*s**2 + 6702*q*s
Find the first derivative of -40042*p - 3103.
-40042
What is the second derivative of 540255*q**2 + q + 83719 wrt q?
1080510
Find the third derivative of -15089*a**5 - 2*a**3 + 25271*a**2.
-905340*a**2 - 12
What is the third derivative of 2404557*b**3 + 8*b**2 + 11394*b + 1 wrt b?
14427342
Differentiate b**4 - 506542*b**3 - 2203547.
4*b**3 - 1519626*b**2
Find the first derivative of 33496*h*j**2*m**2 - h*j*m**2 + 1874*j**2*m**2 - 12*j**2*m wrt h.
33496*j**2*m**2 - j*m**2
What is the third derivative of -5*d**5 - 29*d**4*v - 13*d**3*v + 2*d**2*v + 64939*d**2 wrt d?
-300*d**2 - 696*d*v - 78*v
What is the derivative of 2*b**2*x + 13337*b**2 - 2*b*x + 372*x + 703 wrt b?
4*b*x + 26674*b - 2*x
What is the third derivative of -24758*j**4 - 95114*j**2 wrt j?
-594192*j
What is the second derivative of 42366*k**5*p + k**5 - 3*k*p + 2*k - 3306*p wrt k?
847320*k**3*p | {
"pile_set_name": "DM Mathematics"
} |
PM and 7:56 AM?
587
What is 547 minutes before 4:24 AM?
7:17 PM
How many minutes are there between 2:16 AM and 11:28 AM?
552
How many minutes are there between 8:26 AM and 8:08 PM?
702
What is 609 minutes before 9:55 AM?
11:46 PM
What is 468 minutes before 6:52 AM?
11:04 PM
How many minutes are there between 9:44 PM and 4:52 AM?
428
How many minutes are there between 3:04 PM and 1:01 AM?
597
What is 643 minutes before 7:22 AM?
8:39 PM
What is 286 minutes after 9:00 PM?
1:46 AM
What is 691 minutes before 2:31 AM?
3:00 PM
What is 298 minutes before 8:28 PM?
3:30 PM
How many minutes are there between 2:06 AM and 8:51 AM?
405
What is 130 minutes after 7:50 PM?
10:00 PM
What is 676 minutes before 6:21 AM?
7:05 PM
How many minutes are there between 10:13 PM and 3:57 AM?
344
What is 102 minutes before 11:58 PM?
10:16 PM
How many minutes are there between 1:29 AM and 5:25 AM?
236
What is 123 minutes after 8:36 AM?
10:39 AM
What is 462 minutes before 3:08 PM?
7:26 AM
What is 62 minutes before 3:43 AM?
2:41 AM
What is 596 minutes after 7:45 PM?
5:41 AM
How many minutes are there between 8:31 PM and 6:18 AM?
587
How many minutes are there between 3:50 AM and 12:18 PM?
508
What is 388 minutes after 8:17 PM?
2:45 AM
What is 291 minutes before 11:43 AM?
6:52 AM
How many minutes are there between 6:33 PM and 12:40 AM?
367
What is 97 minutes before 11:16 PM?
9:39 PM
What is 481 minutes after 11:38 PM?
7:39 AM
How many minutes are there between 12:12 AM and 9:45 AM?
573
How many minutes are there between 8:50 PM and 8:18 AM?
688
How many minutes are there between 10:14 PM and 3:38 AM?
324
How many minutes are there between 12:25 AM and 9:09 AM?
524
What is 399 minutes after 7:16 PM?
1:55 AM
How many minutes are there between 9:11 AM and 11:18 AM?
127
What is 6 minutes after 1:37 PM?
1:43 PM
How many minutes are there between 9:10 PM and 8:50 AM?
700
What is 643 minutes before 1:48 AM?
3:05 PM
What is 344 minutes after 2:21 PM?
8:05 PM
What is 71 minutes before 9:08 PM?
7:57 PM
What is 681 minutes after 7:29 AM?
6:50 PM
How many minutes are there between 4:13 PM and 2:05 AM?
592
What is 687 minutes after 10:52 AM?
10:19 PM
How many minutes are there between 8:15 PM and 11:05 PM?
170
How many minutes are there between 3:47 PM and 1:38 AM?
591
How many minutes are there between 12:04 AM and 12:57 AM?
53
How many minutes are there between 1:02 PM and 4:59 PM?
237
How many minutes are there between 5:24 AM and 2:16 PM?
532
What is 485 minutes before 3:53 PM?
7:48 AM
What is 386 minutes after 6:16 PM?
12:42 AM
What is 547 minutes before 6:35 PM?
9:28 AM
What is 530 minutes after 2:03 AM?
10:53 AM
How many minutes are there between 10:13 PM and 2:39 AM?
266
How many minutes are there between 3:13 PM and 1:22 AM?
609
How many minutes are there between 5:21 PM and 10:04 PM?
283
How many minutes are there between 1:57 PM and 6:09 PM?
252
How many minutes are there between 7:27 AM and 8:02 AM?
35
What is 270 minutes after 12:21 PM?
4:51 PM
What is 56 minutes after 12:37 AM?
1:33 AM
What is 142 minutes before 8:36 AM?
6:14 AM
How many minutes are there between 3:15 PM and 12:57 AM?
582
What is 76 minutes before 11:49 AM?
10:33 AM
What is 36 minutes after 11:58 PM?
12:34 AM
How many minutes are there between 1:52 PM and 8:46 PM?
414
How many minutes are there between 11:04 AM and 9:14 PM?
610
How many minutes are there between 3:20 AM and 4:19 AM?
59
How many minutes are there between 5:42 PM and 12:21 AM?
399
How many minutes are there between 11:10 AM and 11:58 AM?
48
What is 289 minutes after 10:30 PM?
3:19 AM
How many minutes are there between 4:22 AM and 3:09 PM?
647
What is 251 minutes before 2:45 PM?
10:34 AM
What is 546 minutes after 12:36 AM?
9:42 AM
How many minutes are there between 4:06 AM and 6:01 AM?
115
How many minutes are there between 3:02 PM and 7:00 PM?
238
What is 507 minutes after 11:59 PM?
8:26 AM
How many minutes are there between 11:30 AM and 4:52 PM?
322
What is 173 minutes before 10:58 AM?
8:05 AM
How many minutes are there between 10:15 AM and 11:18 AM?
63
What is 708 minutes before 7:19 PM?
7:31 AM
How many minutes are there between 2:07 PM and 1:37 AM?
690
What is 359 minutes after 8:27 PM?
2:26 AM
What is 38 minutes after 1:28 PM?
2:06 PM
How many minutes are there between 2:33 PM and 2:16 AM?
703
How many minutes are there between 4:43 PM and 11:52 PM?
429
What is 586 minutes after 1:40 AM?
11:26 AM
What is 97 minutes before 10:02 AM?
8:25 AM
How many minutes are there between 3:27 PM and 7:18 PM?
231
How many minutes are there between 9:53 AM and 2:44 PM?
291
What is 48 minutes before 4:45 AM?
3:57 AM
What is 532 minutes before 10:51 PM?
1:59 PM
What is 264 minutes before 5:27 AM?
1:03 AM
What is 291 minutes before 4:38 PM?
11:47 AM
What is 115 minutes before 9:34 AM?
7:39 AM
What is 708 minutes before 8:54 AM?
9:06 PM
What is 391 minutes before 9:10 AM?
2:39 AM
How many minutes are there between 3:07 PM and 2:16 AM?
669
How many minutes are there between 8:10 AM and 2:41 PM?
391
What is 172 minutes after 4:55 AM?
7:47 AM
How many minutes are there between 9:12 PM and 12:35 AM?
203
What is 628 minutes before 6:40 AM?
8:12 PM
What is 135 minutes before 1:16 PM?
11:01 AM
What is 88 minutes before 1:43 AM?
12:15 AM
What is 264 minutes after 11:22 PM?
3:46 AM
How many minutes are there between 11:54 PM and 10:25 AM?
631
How many minutes are there between 9:18 PM and 11:57 PM?
159
How many minutes are there between 4:07 PM and 7:30 PM?
203
How many minutes are there between 8:24 PM and 8:26 PM?
2
How many minutes are there between 8:08 PM and 1:50 AM?
342
What is 270 minutes after 5:32 AM?
10:02 AM
How many minutes are there between 3:21 PM and 3:01 AM?
700
What is 596 minutes before 3:49 AM?
5:53 PM
How many minutes are there between 11:25 PM and 10:40 AM?
675
What is 337 minutes before 10:25 AM?
4:48 AM
What is 158 minutes before 7:05 PM?
4:27 PM
What is 677 minutes after 12:48 PM?
12:05 AM
How many minutes are there between 7:14 PM and 6:59 AM?
705
How many minutes are there between 7:50 AM and 8:30 AM?
40
How many minutes are there between 11:01 AM and 10:31 PM?
690
What is 325 minutes after 12:54 AM?
6:19 AM
How many minutes are there between 8:39 AM and 12:06 PM?
207
What is 310 minutes after 9:54 AM?
3:04 PM
What is 553 minutes before 9:59 PM?
12:46 PM
What is 185 minutes before 5:51 AM?
2:46 AM
How many minutes are there between 7:02 AM and 9:41 AM?
159
How many minutes are there between 8:21 AM and 6:41 PM?
620
How many minutes are there between 8:35 AM and 7:44 PM?
669
How many minutes are there between 11:27 AM and 1:46 PM?
139
How many minutes are there between 6:31 AM and 2:23 PM?
472
What is 445 minutes after 4:57 AM?
12:22 PM
How many minutes are there between 4:02 AM and 3:46 PM?
704
How many minutes are there between 11:10 AM and 9:26 PM?
616
How many minutes are there between 11:31 PM and 12:23 AM?
52
What is 240 minutes after 5:46 AM?
9:46 AM
How many minutes are there between 11:23 PM and 9:09 AM?
586
How many minutes are there between 6:48 PM and 4:34 AM?
586
How many minutes are there between 4:18 AM and 6:57 AM?
159
How many minutes are there between 8:43 PM and 8:02 AM?
679
How many minutes are there between 4:36 PM and 7:47 PM?
191
What is 468 minutes before 8:47 PM?
12:59 PM
What is 63 minutes before 3:17 PM?
2:14 PM
How many minutes are there between 10:01 PM and 10:52 PM?
51
What is 354 minutes before 5:47 PM?
11:53 AM
What is 304 minutes after 12:45 PM?
5:49 PM
How many minutes are there between 2:40 PM and 7:55 PM?
315
How many minutes are there between 6:38 PM and 5:21 AM?
643
How many minutes are there between 3:42 AM and 7:57 AM?
255
How many minutes are there between 8:05 AM and 4:51 PM?
526
What is 171 minutes before 4:53 AM?
2:02 AM
What is 399 minutes before 10:02 AM?
3:23 AM
What is 101 minutes after 7:41 PM?
9:22 PM
What is 665 minutes before 7:05 AM?
8:00 PM
How many minutes are there between 1:36 AM and 7:13 AM?
337
What is 184 minutes after 10:48 PM?
1:52 AM
What is 320 minutes after 2:03 PM?
7:23 PM
How many minutes are there between 8:31 AM and 9:13 AM?
42
What is 289 minutes after 4:41 PM?
9:30 PM
What is 618 minutes after 7:55 AM?
6:13 PM
What is 418 minutes after 10:55 PM?
5:53 AM
What is 707 m | {
"pile_set_name": "DM Mathematics"
} |
10/9? (a) 0 (b) 2 (c) 5959.37
a
What is the nearest to -457 in -4, 0.4, -34, -13/4?
-34
Which is the nearest to 0.3? (a) -1787 (b) 2 (c) -1/5 (d) -4 (e) 4
c
What is the nearest to -1/3 in -4, 738, 0.09, -23, -1/2?
-1/2
Which is the closest to 1/4? (a) -862 (b) -3 (c) 107 (d) 2/5
d
Which is the nearest to 8? (a) -0.4 (b) -4 (c) -0.5 (d) -2 (e) -12915
a
What is the closest to 5 in 10, -11, 16/7, -2?
16/7
Which is the nearest to -1? (a) -45 (b) -0.5 (c) 0.01 (d) -1 (e) -1.3
d
What is the closest to 1 in 0.16, -4/3, -338, -5, -0.2?
0.16
Which is the nearest to 2/3? (a) -1/2 (b) 0.05 (c) -8 (d) 2/7 (e) 8/5
d
What is the nearest to -95 in 3, -0.4, 1/7, -1/24?
-0.4
What is the closest to 3 in -5, 56544, -2?
-2
What is the nearest to -283 in -0.2841, 286/7, -2/5?
-2/5
Which is the nearest to -0.76? (a) 0.3 (b) 1.3 (c) -442
a
Which is the closest to -0.1? (a) 0.4 (b) 57 (c) -8468 (d) 0 (e) -18 (f) 1/9
d
Which is the closest to -13.5? (a) -139 (b) 0.5 (c) 3 (d) 1/3 (e) 0.3 (f) -2/3
f
Which is the closest to -2/3? (a) 0.02 (b) -1/59 (c) -3 (d) 2/11 (e) -5 (f) 0
b
What is the closest to 16 in 2, -0.093, -84, 0.5, 1/6, -15?
2
What is the closest to -69 in -2/15, 0.4, 1, -1/5, 132?
-1/5
What is the closest to -1/2 in 2/11, 24, -11/112, 6/5, 65?
-11/112
Which is the nearest to 0? (a) 3 (b) 2/107 (c) -2/581 (d) -1
c
Which is the nearest to -0.2? (a) -3/4 (b) 1/37 (c) -2 (d) -28.6 (e) -75/7
b
Which is the nearest to 0.12? (a) -4/5 (b) -2/1913 (c) -0.2 (d) 2 (e) -8 (f) -21
b
What is the nearest to 0.1 in -57.29, -1056, 0.3?
0.3
What is the closest to -0.1 in -6, -4, -22, 0.2, -2/11?
-2/11
Which is the closest to -53/4? (a) 5/7 (b) -5 (c) -0.7 (d) 0.4
b
What is the closest to 2/13 in 0.6, -1/8, -43, 0, -8?
0
Which is the nearest to 1.6? (a) 2/99 (b) 2/9 (c) -229
b
What is the closest to -3067 in 0.02, 0.4, 3/4, -24?
-24
What is the nearest to 8/7649 in -1/6, -0.06, 1/10, 0.5, 0, 3?
0
What is the closest to -0.31 in 0.76, -0.3, 87?
-0.3
Which is the nearest to -7/10? (a) -2/9 (b) -1/5 (c) 4 (d) -3 (e) -167.2
a
Which is the nearest to 8/11? (a) -4 (b) -2.73 (c) 285
b
What is the nearest to -10 in -2/5, 2, 34, -0.242, -7?
-7
Which is the closest to 0.1? (a) -6/17 (b) -1 (c) 9/8 (d) -2/313 (e) -1/3
d
What is the closest to -72.5 in -4, -1.2, -1, -0.4, -5?
-5
What is the nearest to -875.52 in 31, 2/9, -14, 0.4?
-14
What is the nearest to -0.5 in 0.28, 8, -10/13, -4?
-10/13
What is the closest to 0.031 in 1/5, -41, -0.16, 182?
1/5
What is the closest to -95 in 198/7, 1/2, 24?
1/2
What is the nearest to 12/163 in -942, -2/11, -3/5, -0.3, 5?
-2/11
Which is the nearest to 170.3982? (a) -2 (b) -3 (c) 0.3 (d) 2/3 (e) -0.5
d
Which is the nearest to -0.4? (a) 5 (b) 2/7 (c) 6/11 (d) 37 (e) -134 (f) 1.59
b
Which is the nearest to -0.1? (a) -3571 (b) 0.4 (c) 0.2 (d) -3.067 (e) -3 (f) 1
c
Which is the nearest to 11/4380? (a) 9 (b) 1/10 (c) 1
b
Which is the nearest to 3663? (a) -33/8 (b) 2 (c) -2/5 (d) -2
b
What is the nearest to 0.1 in 0.1, -614063, 18?
0.1
What is the closest to 3/4 in 171, 4, 0.41, -4?
0.41
What is the closest to 24 in -0.1, 0, 54/5, 7, 2?
54/5
Which is the nearest to 15? (a) -3/8 (b) -1.08 (c) 1/4 (d) -5 (e) 10 (f) -0.5
e
What is the closest to 0 in -3/10, -2/17, -58, 0, 3/7?
0
Which is the closest to 258? (a) 57 (b) 1/2 (c) -0.1 (d) 3/4
a
What is the nearest to 0 in 4/5, -0.34, 4732?
-0.34
What is the closest to 4 in -1408, 9/7, 0.04, 1/5?
9/7
What is the nearest to 1 in -17554, -4, 0.5, 2426?
0.5
What is the nearest to 114511 in 5, -8, 0.5?
5
Which is the nearest to 1376? (a) -163/7 (b) -33 (c) 1/7
c
Which is the closest to 0.5? (a) -8.44 (b) -3 (c) 13 (d) -2/9
d
What is the closest to 1/4 in 1639, 103, -17?
-17
What is the nearest to -3/5 in -19.35, 1.1, 0.01?
0.01
What is the nearest to -0.254 in 163, 66/13, 8?
66/13
What is the nearest to -1/2 in 3, -1/7, -5, -1/3, -12.38?
-1/3
Which is the closest to 2/9? (a) -193 (b) 0.3 (c) 5 (d) 70
b
What is the nearest to -1 in -40.1, -2/3, -11, -5228?
-2/3
Which is the closest to -2.2? (a) -1/6 (b) -0.27 (c) -17 (d) -10 (e) -17/2
b
Which is the closest to 0.1? (a) -1/204 (b) 2 (c) -191 (d) 3 (e) -3
a
What is the closest to 0.2 in 51, -4, -3/5, 0.1, -10, 1.291?
0.1
Which is the nearest to 1? (a) 0.36 (b) 2/11 (c) -2/19 (d) -0.4 (e) 0
a
Which is the closest to 0.1? (a) 6903/16 (b) -28 (c) -0.5 (d) 4/7 (e) -4
d
Which is the nearest to 1? (a) -1.61 (b) -5 (c) -826
a
What is the closest to -0.92 in 2/5, -0.3, 6, -3, -11?
-0.3
What is the closest to 3 in 2/11, -24.5, 58.5?
2/11
Which is the nearest to -0.32371? (a) 3 (b) -2 (c) -0.0181
c
Which is the closest to 5/12? (a) -13 (b) 25 (c) -2/7 (d) -1/5
d
What is the nearest to 2 in -46, -9, -2/25, -2/37, -0.2, -4?
-2/37
Which is the closest to 6? (a) 3/8 (b) 1 (c) -2 (d) 0.009 (e) -103
b
Which is the closest to -4166? (a) 0.3 (b) 2 (c) 17 (d) -4/5
d
What is the closest to -3 in -6958, -0.4, -2, 9?
-2
What is the nearest to 41 in -2/7, -2/13, -13, -24.25?
-2/13
What is the closest to 1/9 in -2, 2297, 1, -1/107?
-1/107
Which is the nearest to 0.072? (a) 8/317 (b) 43 (c) -0.4
a
Which is the closest to -11? (a) 1138 (b) 1/6 (c) -19/4
c
Which is the closest to -0.0116? (a) 3 (b) 2/5 (c) 14.5 (d) -1/3 (e) -5 (f) 0
f
Which is the closest to 0.2? (a) -3231 (b) 0.2 (c) 1/16
b
What is the nearest to 0.1 in 1370/9, -5, 2/869?
2/869
What is the nearest to -2/9 in -0.384, -0.5, 3, 0.5, -3/38, -0.35?
-0.35
Which is the nearest to -5389? (a) 0.3 (b) -1/4 (c) 10 (d) -3 (e) 2/3
d
What is the nearest to -4 in -1, -2/5, -6, 95/6, -4?
-4
What is the nearest to -10/11 in 15/163, 0.3, -0.3, 45, -0.4?
-0.4
What is the nearest to 0 in 3.7, -2/7, 7.83, -2?
-2/7
Which is the closest to 1118704? (a) -5 (b) 5/3 (c) -0.3 (d) -1 (e) -1/8
b
What is the nearest to -2 in 5, 0.3, 0.279, 3, 4?
0.279
What is the nearest to -0.4 in 0.17, -4/431, 0.3, 5, 0?
-4/431
Which is the nearest to 0? (a) -9 (b) 8 (c) 0 (d) 871
c
Which is the nearest to -1/3? (a) -1222 (b) 0 (c) 890 (d) -0.3
d
What is the nearest to 1/3 in -50, 0.1, 656?
0.1
Which is the closest to -41/274? (a) 4 (b) 14 (c) 1/11
c
Which is the nearest to 0? (a) -0.4 (b) 10 (c) -0.071981
c
Which is the closest to -0.2? (a) -3 (b) -5/2 (c) -8837 (d) 1
d
What is the closest to -2 in 2/3, -513375, 0.1, -5, 0.5, 1/3?
0.1
Which is the nearest to 26.26? (a) 14 (b) -18 (c) -4/3 (d) -1/2
a
What is the nearest to 2 in -1/3, -2, 1/4, 1517, -0.2?
1/4
Which is the closest to 1.06? (a) -1030 (b) -22 (c) 6
c
What is the nearest to -206 in -1, -11, -3?
-11
What is the closest to -1 in -7.3, -2/55, 1/19, 0.009, 1/9?
-2/55
Which is the nearest to -0.11? (a) 396 (b) -538 (c) 0.5 (d) 2/3
c
What is the closest to 0 in -0.1, -0.9, 0.5, 6, 270?
-0.1
What is the closest to -0.2 in -3/4, 8/387, -2, 2, -5, 1147?
8/387
Which is the closest to -0.1? (a) -5 (b) -3/4 (c) -14/5 (d) 2/13 (e) -167/6 (f) -4/7
d
Which is the closest to 1? (a) 16 (b) 0.1 (c) 1222 (d) -6 (e) -2
b
What is the nearest to -2/9 in 4/27569, 2, -0.2, 0.2?
-0.2
What is the nearest to -1/2 in 1/2, -6, -1.904, -1/4, 0?
-1/4
What is the closest to 0.1 in 3/46, 1/60, -2, 4?
3/46
What is the nearest to 44562 in 4/3, -1/10, 0.03?
4/3
What is the nearest to 8 in 1/20, 483, -28?
1/20
Which is the nearest to 2.62? (a) 3 (b) -2 (c) -10 (d) -2/17 (e) 5
a
What is the nearest to 68930 in 16, -3/8, 0.03?
16
What is the nearest to 6 in 1.2, 4894, -2/13, 0?
1.2
What is the nearest to -1/2 in 0.1, -4, 2, -7, 1, 3437?
0.1
What is the nearest to -11/8 in -3, -99, 0.4, 2/91?
2/91
Which is the closest to 3? (a) 1/10 (b) 365/3 (c) -444/5 (d) -0.3 (e) -0.4
a
Which is the closest to -10? (a) -2 (b) -0.4 (c) 25/3 (d) 101 (e) 4/3 (f) 22
a
Which is the closest to 0.04? (a) -3554964 (b) 4 (c) 2 (d) -0.03
d
What is the closest to -468.4 in 2, -4, -0.1, 41/3?
-4
What is the nearest to -1 in -50, 0.691, -7?
0.691
What is the closest to 0 in 4.2, 1/2, -0.04, 27, 2/19?
-0.04
What is the nearest to 0.07 in -8, -1/6, -31, -2, -37.4, 1/43?
1/43
Which is the nearest to -3? (a) 4 (b) -26532 (c) 0
| {
"pile_set_name": "DM Mathematics"
} |
l
Expand (-2*p + 3*p + 5*p)*(681*p + 369701*p**2 + 123*p - 369702*p**2).
-6*p**3 + 4824*p**2
Expand (-6*l**2 + 832*l**3 - 1338*l**3 + 5*l**2)*(-1 - 2 + 2).
506*l**3 + l**2
Expand (-2*w**2 + 0*w**2 + 0*w**2)*(5*w**2 - 20*w**2 - 6*w**2) + (-4*w**2 + 0*w**2 + 2*w**2)*(-2*w**2 - 2*w**2 + 2*w**2) + 3*w + 4*w**4 - 3*w.
50*w**4
Expand (-z + z - 2*z)*(-2*z**3 + z - z) - 2*z**4 - z**4 + 4*z**4 + 2*z - 236*z**3 + 221*z**4 - 219*z**4 - 244*z**3.
7*z**4 - 480*z**3 + 2*z
Expand (9602*d**4 + 1438*d**4 + 127*d**4)*(3*d + 2 - 2).
33501*d**5
Expand (-7*u**4 + 9 - 9)*(-23 + 168*u + 23).
-1176*u**5
Expand (8*u**2 + 4*u**3 - 8*u**2)*(2 - 2 - 4) - 13*u**3 - 26*u**3 + 19*u**3.
-36*u**3
Expand (13 - 8 - 2)*(0 - 5 - 2)*(-23*n**2 - 11*n**2 - 3*n**2).
777*n**2
Expand (3*u**4 + 2*u**4 - 3*u**4)*(-3*u - u + 5*u)*(84 + 126 + 40).
500*u**5
Expand -4*t**2 + 2*t**3 + 4*t**2 + (4*t - 4*t - t)*(3*t - 2*t**2 - 3*t) + 3*t**3 + 0*t**3 - 2*t**3 + 4*t**3 + t**3 - t**3 - 385*t**3 - 218*t**3 + 920*t**3.
326*t**3
Expand (-g + 0*g + 2*g)*(14 - 7 + 14) + 2 - 2*g + 2 - 7 + (-2 - 3 + 4)*(3*g - 4*g + 0*g).
20*g - 3
Expand (8*n - 8*n - 17*n)*(-4 + 11 + 24)*(-4 + 1 + 0).
1581*n
Expand -5*r**3 + 0*r**3 + 2*r**3 + (2*r - 4*r + 0*r)*(2*r**2 + 3*r**2 - r**2) + 5*r**3 - 8*r**3 + 0*r**3 + 22*r**3 - 8*r**3 - r**3.
-r**3
Expand m - m - 4*m**2 - 3 + 3 + 2*m**2 + (-4*m + m + 6*m)*(7*m - 3*m - 3*m) + (4 - 4 - 5*m)*(1 - m - 1).
6*m**2
Expand (-a**3 - 2*a + 2*a)*(8*a**2 + 8*a**2 - 8*a**2) + 0*a - 2*a**5 + 0*a + 4*a**5 + 23873*a - 23642*a - 2*a**5.
-8*a**5 + 231*a
Expand (-18*t + 274*t - 11*t)*(0 + 4 - 2).
490*t
Expand 0*r + r - 2*r + (0 + 3 + 0)*(-2 - 4 + 4)*(-3 + 1 - 2)*(-11*r - 8*r + 8*r + 1).
-265*r + 24
Expand 2*p**2 + 0*p + 0*p - 13074*p + 13*p**2 + 13074*p + (-2*p + 0*p + 0*p)*(-4*p + 3*p + 0*p) + (0*p + 0*p - 5*p)*(-p - p + 3*p) + 2*p - 2*p + 2*p**2.
14*p**2
Expand -6*y + 4*y - 2*y + (-20*y - 22*y + 39*y)*(-2 + 5 - 5) + y + 4*y - 6*y.
y
Expand (6 - 2 - 2)*(-g - 77 + 46 + 35)*(-1 - 1 + 6) - 11*g + 3*g + 17*g.
g + 32
Expand (-3*q**2 - 2*q**3 + 3*q**2)*(-646*q + 1269*q - 625*q - 1952).
4*q**4 + 3904*q**3
Expand (-89 - 22 + 282*x + 119)*(4*x**3 - x**3 - 5*x**3).
-564*x**4 - 16*x**3
Expand -l - 2*l - l + (-3*l + l + l)*(4 - 2 - 3) - 19 + 9*l + 19 - 2*l + 12*l + l.
17*l
Expand 24*j + 276 - 276 - 6*j + 12*j - 23*j + 2 - 2 - j + (-1 + 3 - 1)*(j - 3*j + j) - 2*j - 4 + 4 - 5 + 2*j + 5 + (-2 + 2 - 2*j)*(2 - 4 + 0) - j + j - j.
8*j
Expand (-13160*j + 9 - 3 + 40962*j - 6)*(0 - 1 + 0).
-27802*j
Expand (-6*k**2 + 2*k**2 + 2*k**2)*(2 - 4 + 4) + (-144*k**2 - 59*k**2 + 88*k**2)*(1 - 2 - 1).
226*k**2
Expand (-3*f + 2*f + 0*f + (2 - 6 + 3)*(2*f - 3*f + 2*f) + 11*f + 18*f - 11*f)*(447*f**2 + 33*f**4 - 447*f**2).
528*f**5
Expand (d**4 - 2*d**4 + 3*d**4 + (-2*d**3 + 4 - 4)*(2 - 2*d - 2) + 1356*d - 673*d - 197*d**4 - 680*d)*((4*d - 6*d + 3*d)*(1 - 1 + 1) - 2*d + 3 - 3).
191*d**5 - 3*d**2
Expand (0 + 1 + 0)*(w + 2*w**5 - w) + 22201469*w**4 - 22201469*w**4 + 13151*w**5 + 1398*w**5.
14551*w**5
Expand (685 + 1843 + 733)*(0*r**2 + 2*r**2 + 0*r**2).
6522*r**2
Expand (3 - 3 - u)*(-u**2 + 4 - 4) + (-12*u**2 + 4*u**2 - 17*u**2)*(58*u + 0*u + 20*u).
-1949*u**3
Expand (-4 - 1 + 0)*(-2 - 5 + 4)*(-t - 29 - 26*t + 21*t).
-90*t - 435
Expand (-29 - 3*a - 19 + 65)*(-4 - 1 + 0).
15*a - 85
Expand (-1 + 3 + 0)*(-2*r - 2*r + 9*r) - 6 + 3*r + 6 - 2.
13*r - 2
Expand (-s**2 + 0*s**2 + 0*s**2)*(-s - 5*s + 5*s)*(0 + 1 - 5)*(0 + 22 + 0).
-88*s**3
Expand (-m**3 + 7*m**3 + 3*m**3)*((-4 + 2 - m + 2*m)*(-3 + 0 + 1) + (-m - 3*m + 11*m)*(-1 - 3 - 3)).
-459*m**4 + 36*m**3
Expand (531 - 191 - 31)*(-4*z + z - 5*z).
-2472*z
Expand (3*t + t - 2*t + 5)*(44*t - 44*t + 87*t**3) + (0*t - 5*t + 3*t)*(2 - 2 - 2*t**3 + 2*t).
178*t**4 + 435*t**3 - 4*t**2
Expand (-6 + 5 + 3)*(-1 + 0 + 0)*(407*w**5 + 392*w**5 - 217*w**5).
-1164*w**5
Expand (-18 - 7 - 6)*(243*o - 351*o + 247*o).
-4309*o
Expand (-j - 2*j**2 + j)*(90 + 2*j**3 + 155*j**3 - 115*j**3).
-84*j**5 - 180*j**2
Expand (-5*o**2 + 4*o**2 + 2*o**2)*(o**3 - o**2 + o**2) + 3*o**5 - 2*o**2 + 2*o**2 + (-29*o - 2*o - 29*o)*(0*o**4 + 3*o**4 - 4*o**4).
64*o**5
Expand (1977 + 41*h - 1977)*(-226 + 103 + 94)*(-2*h**3 + 2*h - 2*h).
2378*h**4
Expand (-h + 0 + 0)*(1 + 1 + 0)*(-243 - 225 + 3)*(0 + 0 + 1).
930*h
Expand (2 + 0 + 1)*(k - k - 2*k) - 3*k - 1 + 1 + (2 - 2 - 2)*(-k - 2*k + 0*k) - 7*k + 7*k + 4*k - 14 + 160*k - 79*k - 80*k.
2*k - 14
Expand 9*l**2 - 4*l**2 + 4*l**2 + (-2*l - 4*l + 5*l)*(-l + 5*l - 6*l) - 9*l + 10*l**2 - 11101 + 11101.
21*l**2 - 9*l
Expand (1199*p - 149*p**3 - 1199*p)*(-2 - 6*p + 2) - 2*p**4 - 4*p**4 + 3*p**4.
891*p**4
Expand (18 - 8*f**5 - 6*f**3 - 10 + 7*f**3)*(-28 + 4 - 12).
288*f**5 - 36*f**3 - 288
Expand (4*k - k - 2*k + (2 - 2 - k)*(-5 - 1 + 5) + 59030 - 592*k - 59030)*(6 - 5*k - 6).
2950*k**2
Expand (209 - 2326 - 451 + 374)*(3*q**3 - 4*q**3 + 4*q**3).
-6582*q**3
Expand s**5 - 38*s**2 + 38*s**2 - 26 + (-s**2 - s**3 + s**2)*(-10*s + 10*s + 5*s**2).
-4*s**5 - 26
Expand 45*n**3 + 1447*n - 1447*n + (-1 - 2 + 2)*(-21*n**3 - 36*n + 36*n).
66*n**3
Expand (4 - 1 - 4)*(-9*k**2 + 9*k**2 - k**5)*(-6 + 2 + 7)*(36 - 12 + 26).
150*k**5
Expand (2*r**2 + 4*r**2 - 5*r**2)*(4 + 0 - 6 + (1 - 3 + 3)*(-2 + 4 - 4) - 2 + 2 + 2 + 0 + 0 + 1)*(-13*r**2 + 39*r**2 - 332 + 327).
-26*r**4 + 5*r**2
Expand (-3 + 6 - 4)*(0*z**3 + 10*z**3 + 7*z**3)*(911*z + 6 - 8 + 2).
-15487*z**4
Expand (4*h - 3*h - 2*h)*(-1 + 1 + h) + h**2 + 4*h**2 - 3*h**2 + 708*h**2 + 4116*h**2 - 1452*h**2.
3373*h**2
Expand (-2378 + 58*s**4 - 57*s**4 + 164 + (-3 - s**2 + 3)*(-4*s**2 - s**2 + 4*s**2) + 2*s**4 + 2 - 2)*(2*s + s + 3*s).
24*s**5 - 13284*s
Expand (-32 - 120 - 13)*(-2 + 2 - d)*(-52 + 54*d + 52).
8910*d**2
Expand 0*t + t - 4*t + (-13 - 26 + 13)*(-3*t + 0*t + t) - 2 - t + 2 + (2*t - t + t)*(1 + 1 - 1) - 3*t + t - 3*t.
45*t
Expand (5*b**2 - 5*b**2 + 2*b**4 + (0*b**2 - 2*b**3 + 0*b**2)*(395 + 24*b - 395))*(-1 + 1 - 2)*(-3*b + 0*b + 6*b) + (2*b**4 - 2*b**4 + b**4)*(6*b - 3*b + 3*b).
282*b**5
Expand (2*i**2 - 4*i**2 - 97 + 23)*(7*i + 3*i + 0*i).
-20*i**3 - 740*i
Expand (3*z + z - 3*z)*(5467*z + 14257*z - 2727*z + 2296*z + 2127*z).
21420*z**2
Expand ((-c**2 + 0*c + 0*c)*(c**2 + 2*c**2 - c**2) + 1 - 3*c**4 - 1)*(143*c - 12*c - 31*c) + (-c - 2*c**4 + c)*(2*c - 2*c - 2*c).
-496*c**5
Expand -10 + 2 - 3 - 2*u - 37 + 37 - 3*u + 0*u + 0*u + 2*u + 2*u - 3*u + 3*u + 0*u + u + u + (-1 - 3 + 2)*(0 + 2*u + 0) + u - 2 + 2 - 2 - 2*u + 2 + 4 - 2*u - 4.
-6*u - 11
Expand (-1224 + 613 + 479*p + 611)*(5 - 8 + 2).
-479*p
Expand (-k + 0*k + 4*k + 4*k + k - 4*k + (4 - 1 - 6)*(k - k + k) - 5 + k + 5)*(7*k**2 - 14 + 20 - k + 2*k).
14*k**3 + 2*k**2 + 12*k
Expand (5*g**2 - 39*g**2 - 15*g**2)*(-62 + 15*g**2 + 62 + (1 - 1 + g)*(-2*g + 3*g + 0*g)).
-784*g**4
Expand (-15 - 35 + 8)*(-3*p + 6*p - 2*p)*(4*p**2 - 4*p**2 - 3*p**2).
126*p**3
Expand (-b**3 + 0*b**3 + 3*b**3 + (b + b - 4*b)*(3*b - 3*b - 2*b**2))*(1 - 2 - 3 + (3 + 0 - 2)*(1 + 2 - 4) - 7 + 0 - 5).
-102*b**3
Expand (-6*s**4 - 19 + 19)*(2 - 1 - 6)*((26 + 1 - 8)*(-4*s + s + s) + (3 + 3 - 4)*(-3*s - 7 + 7)).
-1320*s**5
Expand (-1 - 6 + 4)*(-4*d + 3*d - 2*d) - 3*d + 7*d + 14*d + 15*d.
42*d
Expand (-32 + 10 + 9)*(4 - 6 + 1)*(-240*i + 474*i + 357*i).
7683*i
Expand (r - r + 2*r)*(-110621*r + 5*r**2 - 2*r**3 + 111588*r - 4*r**2).
-4*r**4 + 2*r**3 + 1934*r**2
Expand -5265616*p**3 + 5265616*p**3 + 80*p**4 + 9*p - p**4 + p**4 - p**4 + 2*p**4 - 3*p**4 + 2*p**4 + (-3*p + 7*p - 2*p)*(-4*p**3 + 3*p**3 + 0*p**3).
78*p**4 + 9*p
Expand (-11831 - 1294*j + 11831)*(1 + 2 - 2)*(-3*j - 3*j**3 + 3*j).
3882*j**4
Expand (6*q**2 + 4*q**2 - 6*q**2)*(-72 + 50 + 13 + 53 + 75*q).
300*q**3 + 176*q**2
Expand 4*s - 5*s + 5*s - 86*s**3 + (-s**2 - s**2 + 0*s**2)*(43*s - 7*s - 8*s).
-142*s**3 + 4*s
Expand (517 + 479 - 961)*(4*v**3 + 3*v**3 - 4*v**3)*(-4*v + 2*v - 9*v + v).
-1050*v**4
Expand (68*s**2 + 0*s**2 + 6*s**2)*(0*s**2 - 3*s**2 + 0*s**2) + (5*s - 1 + 1)*(2*s**2 + 0*s**2 - s**2 + 2*s**3).
-212*s**4 + 5*s**3
Expand (-6*a + 3*a**2 + 6*a)*(-5*a + 3*a + 0*a) - 9*a + 9*a - 6*a**3 + 44*a**3 - 638*a + 638*a.
32*a**3
Expand ((-2 + 3 - 3)*(3 - 3 + 2*h) + (17 + 3 - 10)*(-1 + 1 - 9*h))*(-3*h - 2*h + h)*(-3 + 2 - 1)*(5 - 2 - 1).
-1504*h**2
Expand (-1 + 4 - 5 + 9*s)*(-2*s + 16 - 10 + 20)*(-6*s + 6*s + 2*s**2).
-36*s**4 + 476*s**3 - 104*s**2
Expand (1 + 0 + 0)*(12*u - 12* | {
"pile_set_name": "DM Mathematics"
} |
sqrt(1500)*1*-1*6)/(sqrt(15)/sqrt(3)*1 - sqrt(5) - sqrt(5) - sqrt(60)/(sqrt(36)/sqrt(3))).
30*sqrt(3)
Simplify ((-2*sqrt(234)*1)/(-1*(sqrt(9)*2 - sqrt(9))))/(-3*-1*sqrt(1800)).
sqrt(13)/45
Simplify (-5 + -4*(sqrt(300) + -4 + sqrt(300) + 2) + 1 + 0)**2.
-640*sqrt(3) + 19216
Simplify 0 + ((-5 + 6*(0 + 2 + sqrt(833) - (sqrt(833) + -1 + sqrt(833) + sqrt(833) + 2)) + 4)*3)**2.
-7560*sqrt(17) + 1079793
Simplify (sqrt(2448) + (0 + sqrt(2448) + sqrt(2448))*-1 + 4 - (4 + -1*sqrt(2448) + sqrt(2448) - ((sqrt(2448)*2)**2 + 3))) + -2 + 2.
-12*sqrt(17) + 9795
Simplify ((1 + (-2*sqrt(51)/sqrt(3) - (sqrt(187)*1)/sqrt(11)) - (((sqrt(153) - sqrt(153)*-1)/sqrt(3))/sqrt(3) + 1))*-2)**2.
1700
Simplify 1*(2*sqrt(5200)*5)/(sqrt(8)/sqrt(32) - (sqrt(192)/sqrt(4))/sqrt(12)).
-400*sqrt(13)/3
Simplify 5 + (sqrt(3872) - (sqrt(3872) + -4)*3 - (sqrt(384) + 6*(sqrt(384)*2 + sqrt(384) + sqrt(384)))/sqrt(12)).
-188*sqrt(2) + 17
Simplify (4 + -6*(-2 + sqrt(75) + -5) + (sqrt(75) - (-2 + (sqrt(75) - (0 + sqrt(75)))))*-2 + 4)**2.
-3680*sqrt(3) + 6916
Simplify 2*((sqrt(200)/(2*-2*sqrt(8)))/(2*sqrt(5)*2 + (sqrt(5) - (sqrt(245) + sqrt(245)*-2))) + -3)**2.
sqrt(5)/4 + 20741/1152
Simplify -4 + 2*sqrt(35)/sqrt(7) + 3 - (3 + (5 + (-5*sqrt(405) - sqrt(405)) - sqrt(405)))**2.
-19910 + 1010*sqrt(5)
Simplify (-5 + (2*(sqrt(156)/(1*sqrt(12)) + sqrt(78)/(sqrt(18)/sqrt(3))) - 5*(sqrt(13) + 2 + 2 - (sqrt(325) + -2))))**2.
-1680*sqrt(13) + 8713
Simplify -3 + ((1*sqrt(180)*4)**2*4 + 2 - ((sqrt(180) - (sqrt(180) + 2)**2)*6 + ((sqrt(180) + -1 + sqrt(180))*-4)**2)).
1087 + 492*sqrt(5)
Simplify ((2*sqrt(90)*5)/(sqrt(45)/sqrt(80)))/(sqrt(128)/sqrt(4) + sqrt(16)/(sqrt(72)/sqrt(9))).
8*sqrt(5)
Simplify ((-3*(1 + sqrt(931)) - 3*(sqrt(931) + -1)) + -4)**2 + (-4*(sqrt(931) + 1 + sqrt(931)) + (sqrt(931) - (5 + sqrt(931)*-2 + sqrt(931) + sqrt(931))))**2.
1218*sqrt(19) + 79232
Simplify (-2*sqrt(102)*-1*5)/(2*sqrt(216) + (sqrt(108)/sqrt(3))/sqrt(6)) + 4.
10*sqrt(17)/13 + 4
Simplify ((sqrt(153) + -1*-2*sqrt(153) + sqrt(153) + (1*sqrt(153) - sqrt(153))*-2)/(4*2*2*sqrt(1296))*-4)**2.
17/144
Simplify 0 + 3*((sqrt(20) - (sqrt(20) + (sqrt(80)*-2)/sqrt(4) - sqrt(20)))**2 - (sqrt(405) + sqrt(405) + -5)**2) + 0.
-4395 + 540*sqrt(5)
Simplify ((2*sqrt(135)*-3 + sqrt(135))/(-1*sqrt(5)*2))**2 + 4.
691/4
Simplify -4*(5 + (3 + sqrt(18) + -5*sqrt(18)*3)*-2)**2*2.
-112904 + 1344*sqrt(2)
Simplify 2 + ((2*sqrt(245)*-2)**2 + 4 - ((sqrt(245)*3 - sqrt(245)) + 5)*-3).
42*sqrt(5) + 3941
Simplify 3*-3*((sqrt(80) - ((sqrt(80) + sqrt(80) + -4)**2 + sqrt(80))) + 3)*-5*1 + 5.
-14980 + 2880*sqrt(5)
Simplify 1*(((1*sqrt(42))/sqrt(3))/(5*-2*sqrt(2)) + (4*sqrt(175) + 5)**2 + 2 + 2).
1999*sqrt(7)/10 + 2829
Simplify 3*((3*sqrt(110) + sqrt(110) + sqrt(110))*-6 + (sqrt(110) + sqrt(110) + sqrt(110)*1)*-6)/(sqrt(60)/((sqrt(90)/sqrt(5))/sqrt(3))*2).
-72*sqrt(11)
Simplify (sqrt(98) + -3 + 3)*-5 - 5*2*((4 + sqrt(2))**2 + -3).
-115*sqrt(2) - 150
Simplify (((sqrt(21) - -5*sqrt(63)/sqrt(3)) + (sqrt(168)*6)/sqrt(8))/(sqrt(432)*-5*4))**2.
7/400
Simplify (1 + -6*(sqrt(832) + 0) + sqrt(832)*-1 + 1 - (2*(sqrt(832) + 2 + sqrt(832) + -2) + 4))**2.
352*sqrt(13) + 100676
Simplify 5*(0 + sqrt(700)) - (-2*sqrt(7)*-3 - (sqrt(63) + -4)) - -6*(1 + sqrt(700)*-1 + 1).
-13*sqrt(7) + 8
Simplify ((-5*(sqrt(525) + sqrt(21)))/sqrt(7) + 3 - (2*sqrt(27)*-2)/(-1*sqrt(9)*6 - sqrt(9)))**2 + -4.
-1284*sqrt(3)/7 + 137633/49
Simplify (((sqrt(468) + 0 + -5)*3 + (sqrt(13) - (sqrt(13) + (sqrt(325) - (2*sqrt(325) + sqrt(325))))) + -5*sqrt(39)/sqrt(3))*-2)**2.
-2760*sqrt(13) + 28408
Simplify -4 + -5*(-1 + (sqrt(325) + 1)**2) - (3 + (sqrt(325)*2 + -2 - sqrt(325)*2*2)).
-1630 - 40*sqrt(13)
Simplify (1 + 3*(2*sqrt(432))**2 + -3 - (((sqrt(432) - (sqrt(432) + 0)) + 2)*-1 + 0))*-2.
-10368
Simplify 1*((sqrt(5500) - sqrt(5500)*1 - sqrt(5500))*-5*6)/((1*sqrt(50))/sqrt(10) - sqrt(5) - sqrt(30)/sqrt(6)*1).
-300*sqrt(11)
Simplify (sqrt(576) + (sqrt(576)*-1 - sqrt(576))*-2 + sqrt(576))/(1*sqrt(800) - (sqrt(800) - -2*sqrt(800))) + 2.
-9*sqrt(2)/5 + 2
Simplify 1*(sqrt(98) + -6*(sqrt(98) - (sqrt(98) + -3))**2) - ((sqrt(96) - sqrt(96)*-2)/sqrt(12))**2*-1.
7*sqrt(2) + 18
Simplify (sqrt(1300) + 2*sqrt(1300))**2*-3 + ((4*-2*sqrt(52))**2 + sqrt(52))*4 + -4.
-21792 + 8*sqrt(13)
Simplify -3*2*6*(-3*(sqrt(500) + 0) - -5*(sqrt(500) + 3)).
-720*sqrt(5) - 540
Simplify (3 + (-2*(sqrt(567) + -3*-2*sqrt(567))*-5 - (sqrt(567)*3 + 4 + 3 + (-3*sqrt(567) - sqrt(567)))))**2.
-5112*sqrt(7) + 2858263
Simplify ((1*2*sqrt(832) + -4 + 3*sqrt(832) - -1*(-5 + -2 + sqrt(832))) + -5)**2.
-1536*sqrt(13) + 30208
Simplify -5 + 2 + (sqrt(1700) + 1 + sqrt(1700) + 4)**2 + sqrt(187)/(sqrt(11) + -1*(sqrt(11) + (sqrt(176) - sqrt(11))) - sqrt(11) - sqrt(11)) + 4.
999*sqrt(17)/5 + 6826
Simplify (-3*(sqrt(78) + 3*sqrt(78)*3)*5)/((sqrt(288)/sqrt(8))/sqrt(6) - ((sqrt(216) - (sqrt(216) + sqrt(216)*-3)) + sqrt(6))).
25*sqrt(13)/3
Simplify 1 + (4*(sqrt(612) + -1) + sqrt(612) + 0 + 4 + (2*(0 + sqrt(612)) - (sqrt(612) + (sqrt(612) + -1)*4)) + -3)**2 + 5.
24*sqrt(17) + 2455
Simplify 4 + ((-2 + sqrt(468) + -4)**2*4 - ((1*sqrt(468))**2 + 4 - (1 + sqrt(468) + 0))) + -5.
-282*sqrt(13) + 1544
Simplify (sqrt(392) - (1*sqrt(50) - sqrt(2))) + (sqrt(288) + -4*sqrt(288) + -1)**2*2.
154*sqrt(2) + 5186
Simplify (5*(3 + (sqrt(2736) + sqrt(2736) + 4 + sqrt(2736) + -2 - -5*(sqrt(2736) + -4 - sqrt(2736)))*4))**2.
-496800*sqrt(19) + 9968625
Simplify (sqrt(54)/sqrt(3)*-2 + (sqrt(126)*1)/sqrt(7))/((sqrt(1296) - -1*sqrt(1296)*-1) + sqrt(1296) + -1*-1*sqrt(1296))*-5.
5*sqrt(2)/24
Simplify (sqrt(117) - (-1*sqrt(117) + -3) - (sqrt(117) - (sqrt(117)*-2 + -4)) - (5 + -2 + -5 + sqrt(117)*-2))**2.
6*sqrt(13) + 118
Simplify (-6*(2 + sqrt(108)) - sqrt(108)) + 3*sqrt(108) + -3 + (sqrt(108) - -2*(2 + sqrt(108)) - (sqrt(108) + sqrt(108)*-2 + -1)).
-10
Simplify ((sqrt(405) - sqrt(405)*-3)*3 + sqrt(405) + 3 + 0 + -2 + (sqrt(405) - (0 + sqrt(405)*1 - sqrt(405))) + 5)**2 + -5.
1512*sqrt(5) + 79411
Simplify (5*(-3*(sqrt(320) - (sqrt(320) + 2 - sqrt(320))) + -4*(-1 + sqrt(320)) + -5 + 1*((sqrt(320)*-1 - sqrt(320)) + -2)))**2.
-10800*sqrt(5) + 648225
Simplify (sqrt(57) - sqrt(114)/sqrt(2)*6)/(sqrt(9)/sqrt(27)) + (((sqrt(76)*2 - sqrt(76)) + sqrt(76))/sqrt(4)*-2 + 2)*-2.
-7*sqrt(19) - 4
Simplify 0 + 4*(-4 + ((sqrt(204)*-1 + (sqrt(51) - 1*sqrt(6171)))/(-5*sqrt(147)*-1))**2).
-9808/1225
Simplify (-2*(sqrt(26)/(3*sqrt(2)) + (sqrt(78)/(sqrt(6)*4) - sqrt(13)))*-3*-1*-1)**2.
325/4
Simplify -5 + ((2*sqrt(30)/sqrt(2))/(-1*sqrt(5)*-3) + 0 + sqrt(24)/(sqrt(8) - -2*sqrt(8)) + 3 + 2)**2.
10*sqrt(3) + 23
Simplify (1 + (-5 + 5*sqrt(1331) - 1*(sqrt(1331) + 2))*4)**2.
-9504*sqrt(11) + 341465
Simplify sqrt(176)*5 + (sqrt(110)*3)/sqrt(10) + sqrt(11) + (1*sqrt(44) - sqrt(44) - 4*(sqrt(11) + 1 + sqrt(11)))**2.
88*sqrt(11) + 720
Simplify (sqrt(105)/sqrt(5)*-3*-3)/(1*sqrt(84)/(sqrt(84)/sqrt(7))).
9*sqrt(3)
Simplify ((1*sqrt(1872)*5 + 5 + -2*sqrt(1872))*1 + -5*(sqrt(78)/sqrt(24) + sqrt(13))*-1 + -1)**2.
348*sqrt(13) + 98461/4
Simplify (5*(sqrt(96) + sqrt(96) + -1*sqrt(96)*-2 + sqrt(96) - sqrt(96)))/((4*sqrt(80)/sqrt(5))/sqrt(2)).
10*sqrt(3)
Simplify sqrt(288) + (2*sqrt(288))**2 + (4*sqrt(18)*2)**2 + sqrt(36)/(-4*sqrt(6)/sqrt(3)).
45*sqrt(2)/4 + 2304
Simplify (sqrt(637)*-3 + (sqrt(13) - -1*sqrt(65)/sqrt(5)) + ((sqrt(65) + 2*sqrt(65))*-4)/(sqrt(180) + sqrt(180)*2 + sqrt(5)))**2.
1808677/361
Simplify 1 + ((((sqrt(228) + (sqrt(228) - (2*sqrt(228)*6 + sqrt(228)) - sqrt(228)) - sqrt(228)) + sqrt(228))/sqrt(6))/((2*sqrt(288) - sqrt(288))*5))**2 + -5.
-81/25
Simplify (-2*sqrt(486)*-4*6)/(sqrt(10)/(-3*sqrt(5) + sqrt(5)) + (sqrt(98) - (sqrt(98) + sqrt(98)*-2))).
32*sqrt(3)
Simplify ((1*sqrt(880) - sqrt(880))*-4 + 6*((sqrt(880)*-2 + sqrt(880) - sqrt(880)) + sqrt(880)))/(2*(4*(sqrt(500) - sqrt(500)*-2) - sqrt(500))).
-6*sqrt(11)/55
Simplify (sqrt(1458)/sqrt(6) + (sqrt(45)/sqrt(5))/sqrt(3))**2 - ((sqrt(600)/sqrt(2))**2 + -1)*2.
-298
Simplify (5*sqrt(228)*1 + sqrt(228) + (sqrt(228) - (1*sqrt(228)*-5 - sqrt(228))) + sqrt(228))/((3*(sqrt(108) + sqrt(108)*-2))/(sqrt(324)*1)).
-28*sqrt(19)
Simplify (sqrt(1225) - (sqrt(1225) + sqrt(1225)*1*3) - sqrt(1225) - (sqrt(1225)*-2 + sqrt(1225))*-6)/(((-2*sqrt(270))/sqrt(9) + sqrt(30))/(sqrt(216)*1)).
420*sqrt(5)
Simplify (sqrt(198)/((-2*sqrt(121))/sqrt(11)))/((sqrt(6) + (sqrt(726) - sqr | {
"pile_set_name": "DM Mathematics"
} |
26, -9332533, -11665616, -13998669, -16331686, -18664661?
g**3 - 2333144*g - 21
What is the i'th term of 6868, 863, -5142, -11147, -17152, -23157?
-6005*i + 12873
What is the d'th term of 1890, 4208, 6934, 10068, 13610?
204*d**2 + 1706*d - 20
What is the h'th term of 868, 3843, 11926, 27673, 53640, 92383, 146458, 218421?
426*h**3 - 2*h**2 - h + 445
What is the b'th term of -16379, -16772, -17173, -17582?
-4*b**2 - 381*b - 15994
What is the n'th term of 4584697, 4584740, 4584809, 4584904?
13*n**2 + 4*n + 4584680
What is the k'th term of 66926, 65344, 63752, 62144, 60514, 58856, 57164, 55432?
-k**3 + k**2 - 1578*k + 68504
What is the v'th term of 1570, 11671, 28506, 52075, 82378, 119415, 163186?
3367*v**2 - 1797
What is the p'th term of 18172, 32137, 46102?
13965*p + 4207
What is the i'th term of -59558790, -59558793, -59558796, -59558799?
-3*i - 59558787
What is the h'th term of 112, 382, 832, 1504, 2440, 3682, 5272, 7252?
7*h**3 + 48*h**2 + 77*h - 20
What is the g'th term of 13773, 14001, 14529, 15507, 17085, 19413, 22641?
25*g**3 + 53*g + 13695
What is the l'th term of 8223, 8263, 8303, 8343, 8383, 8423?
40*l + 8183
What is the p'th term of -178, -27, 418, 1307, 2790?
25*p**3 - 3*p**2 - 15*p - 185
What is the c'th term of 3610, -22323, -48256, -74189, -100122, -126055?
-25933*c + 29543
What is the w'th term of -15411, -61252, -137655, -244620, -382147, -550236?
-15281*w**2 + 2*w - 132
What is the l'th term of 9170, 18195, 27144, 36017, 44814?
-38*l**2 + 9139*l + 69
What is the m'th term of 546, 1249, 1962, 2685, 3418, 4161?
5*m**2 + 688*m - 147
What is the q'th term of -1039273, -2078803, -3118333, -4157863, -5197393, -6236923?
-1039530*q + 257
What is the l'th term of 12254346, 12254349, 12254354, 12254361, 12254370, 12254381?
l**2 + 12254345
What is the w'th term of -7284444, -14568870, -21853282, -29137680, -36422064, -43706434?
7*w**2 - 7284447*w - 4
What is the t'th term of -36507, -72936, -109321, -145668, -181983, -218272, -254541?
-t**3 + 28*t**2 - 36506*t - 28
What is the k'th term of 173828, 695330, 1564500, 2781338, 4345844?
173834*k**2 - 6
What is the w'th term of 2796, 28366, 70982, 130650, 207376, 301166, 412026?
w**3 + 8517*w**2 + 12*w - 5734
What is the m'th term of 20858, 21795, 23356, 25541, 28350?
312*m**2 + m + 20545
What is the f'th term of -2879365, -2879361, -2879353, -2879341, -2879325?
2*f**2 - 2*f - 2879365
What is the j'th term of -3415, -6945, -10475, -14005, -17535, -21065?
-3530*j + 115
What is the f'th term of 8264, 10518, 12770, 15020, 17268, 19514?
-f**2 + 2257*f + 6008
What is the x'th term of -941847, -1883737, -2825627, -3767517, -4709407?
-941890*x + 43
What is the o'th term of 4040688, 8081390, 12122092, 16162794, 20203496?
4040702*o - 14
What is the r'th term of 7990483, 15980975, 23971469, 31961965, 39952463, 47942963, 55933465?
r**2 + 7990489*r - 7
What is the j'th term of -52324816, -52324817, -52324818?
-j - 52324815
What is the h'th term of 6209, 13075, 19933, 26783?
-4*h**2 + 6878*h - 665
What is the q'th term of -389113, -1556418, -3501929, -6225646, -9727569, -14007698?
-389103*q**2 + 4*q - 14
What is the x'th term of 22017, 46802, 71587, 96372, 121157, 145942?
24785*x - 2768
What is the w'th term of 20768, 24846, 31636, 41138, 53352, 68278?
1356*w**2 + 10*w + 19402
What is the a'th term of -825241, -1650630, -2476019?
-825389*a + 148
What is the y'th term of -3322298, -6644592, -9966886, -13289180, -16611474?
-3322294*y - 4
What is the o'th term of 12062289, 24124561, 36186831, 48249099, 60311365, 72373629?
-o**2 + 12062275*o + 15
What is the p'th term of 374966, 374658, 374352, 374048, 373746, 373446, 373148?
p**2 - 311*p + 375276
What is the t'th term of 167097, 333077, 499057, 665037, 831017?
165980*t + 1117
What is the l'th term of -625664, -628007, -630350, -632693, -635036?
-2343*l - 623321
What is the c'th term of 36800, 74475, 112150, 149825, 187500?
37675*c - 875
What is the m'th term of -27348436, -27348443, -27348454, -27348469, -27348488, -27348511, -27348538?
-2*m**2 - m - 27348433
What is the u'th term of -68710, -68231, -67400, -66217, -64682?
176*u**2 - 49*u - 68837
What is the g'th term of 27327, 54467, 81607, 108747, 135887?
27140*g + 187
What is the a'th term of 2259, 4615, 7169, 10011, 13231, 16919, 21165?
15*a**3 + 9*a**2 + 2224*a + 11
What is the w'th term of 923621, 922981, 922327, 921653, 920953, 920221, 919451, 918637?
-w**3 - w**2 - 630*w + 924253
What is the u'th term of 5778, 5409, 5028, 4635, 4230?
-6*u**2 - 351*u + 6135
What is the k'th term of -4925074, -9850151, -14775228, -19700305, -24625382, -29550459?
-4925077*k + 3
What is the l'th term of 991222, 991197, 991172, 991147?
-25*l + 991247
What is the k'th term of -409606, -409650, -409694?
-44*k - 409562
What is the c'th term of 2553, 8605, 18161, 31221, 47785?
1752*c**2 + 796*c + 5
What is the j'th term of -2493, -2432, -2329, -2190, -2021?
-j**3 + 27*j**2 - 13*j - 2506
What is the m'th term of 23308, 46273, 69238, 92203?
22965*m + 343
What is the d'th term of -71871, -72095, -72469, -72993, -73667, -74491?
-75*d**2 + d - 71797
What is the c'th term of 8848420, 35393681, 79635782, 141574723, 221210504?
8848420*c**2 + c - 1
What is the a'th term of 896697, 896726, 896775, 896844, 896933?
10*a**2 - a + 896688
What is the g'th term of -16858, -72002, -163906, -292570?
-18380*g**2 - 4*g + 1526
What is the q'th term of 58230, 58223, 58180, 58083, 57914, 57655, 57288?
-3*q**3 + 14*q + 58219
What is the n'th term of -42590, -85224, -127872, -170540, -213234?
-n**3 - n**2 - 42624*n + 36
What is the d'th term of -62912, -62988, -63114, -63290, -63516, -63792?
-25*d**2 - d - 62886
What is the f'th term of 4939, 14832, 31313, 54382, 84039, 120284, 163117?
3294*f**2 + 11*f + 1634
What is the k'th term of -1875, -5787, -9699, -13611?
-3912*k + 2037
What is the l'th term of -3975685, -7951372, -11927059, -15902746?
-3975687*l + 2
What is the v'th term of -271069, -544408, -817747?
-273339*v + 2270
What is the a'th term of -34305118, -68610239, -102915360?
-34305121*a + 3
What is the y'th term of -858, -4157, -7456, -10755?
-3299*y + 2441
What is the l'th term of 370, 624, 1074, 1720, 2562, 3600, 4834?
98*l**2 - 40*l + 312
What is the b'th term of -4497, -3730, -1583, 2634, 9611?
115*b**3 - 38*b - 4574
What is the q'th term of 53724, 53910, 54196, 54576, 55044?
-q**3 + 56*q**2 + 25*q + 53644
What is the n'th term of -4412, -4395, -4372, -4343, -4308, -4267, -4220?
3*n**2 + 8*n - 4423
What is the s'th term of -85396, -169663, -253930, -338197, -422464, -506731?
-84267*s - 1129
What is the y'th term of -38298962, -76597925, -114896892, -153195863, -191494838, -229793817, -268092800?
-2*y**2 - 38298957*y - 3
What is the v'th term of 91, 414, 1127, 2386, 4347, 7166, 10999?
26*v**3 + 39*v**2 + 24*v + 2
What is the i'th term of -46216, -93410, -140590, -187750, -234884, -281986?
i**3 + i**2 - 47204*i + 986
What is the h'th term of 239, 3142, 11943, 29876, 60175, 106074?
539*h**3 - 285*h**2 - 15*h
What is the x'th term of -31112, -30411, -29710, -29009?
701*x - 31813
What is the k'th term of 2629, 5436, 8043, 10450, 12657, 14664, 16471?
-100*k**2 + 3107*k - 378
What is the c'th term of 257712, 515528, 773340, 1031148, 1288952, 1546752?
-2*c**2 + 257822*c - 108
What is the p'th term of 61046107, 61046095, 61046069, 61046023, 61045951, 61045847, 61045705?
-p**3 - p**2 - 2*p + 61046111
What is the d'th term of 183874560, 183874565, 183874572, 183874581, 183874592, 183874605?
d**2 + 2*d + 183874557
What is the r'th term of -7555, -20833, -34111?
-13278*r + 5723
What is the u'th term of 857265, 857293, 857319, 857343, 857365, 857385, 857403?
-u**2 + 31*u + 857235
What is the s'th term of -4288998, -17155985, -38600964, -68623935, -107224898, -154403853, -210160800?
-4288996*s**2 + s - 3
What is the a'th term of 63107, 126216, 189325?
63109*a - 2
What is the f'th term of -100705, -201401, -302097, -402793, -503489?
-100696*f - 9
What is the j'th term of -5151, -10481, -15743, -20937?
34*j**2 - 5432*j + 247
What is the a'th term of -381797, -381876, -381955, -382034, -382113?
-79*a - 381718
What is the f'th term of 19695654, 19695655, 19695656, 19695657?
f + 19695653
What is the j'th term of -1525, -4077, -7647, -12235, -17841, -24465 | {
"pile_set_name": "DM Mathematics"
} |
/720 - 25*j**4/12 - 29*j. Let v(s) be the third derivative of o(s). Determine v(b(q)).
-4*q
Let a(v) = 507*v**2. Let l(h) = -227*h**2. What is l(a(k))?
-58350123*k**4
Let w(a) be the first derivative of -a**2/2 + 1. Suppose 4*d - 56 = -8. Let r(j) = 7*j - d*j + 7*j. Calculate w(r(p)).
-2*p
Let z(q) = -175*q. Let s(j) = 4*j - 39. Calculate s(z(w)).
-700*w - 39
Let p = -14 - -7. Let b = p - -11. Let w(j) = -7*j**2 + b*j**2 + j**2. Let k(d) = 3*d. Calculate k(w(t)).
-6*t**2
Let s(f) be the second derivative of -3/4*f**4 + 8*f + 0*f**3 + 0*f**2 + 0. Let d(m) = -2*m. Calculate d(s(y)).
18*y**2
Let b(f) = 2*f + 39. Let p(a) = -14*a + 4. Let g(q) = 18*q - 5. Let r(y) = 4*g(y) + 5*p(y). Give b(r(n)).
4*n + 39
Let c(d) = 42*d. Let y(g) be the first derivative of 2*g**3 + 185. Give c(y(h)).
252*h**2
Let j(a) = -4*a**2. Let l(q) = -41*q**2 + 8. Let p(f) = -285*f**2 + 54. Let w(i) = -27*l(i) + 4*p(i). Determine j(w(v)).
-4356*v**4
Let f(b) = -5*b**2. Let i(n) = -n - 2. Let k(z) = -8*z - 10. Let h(u) = 5*i(u) - k(u). What is h(f(y))?
-15*y**2
Let n(t) = t - 97. Let r(q) = 10*q**2. What is r(n(j))?
10*j**2 - 1940*j + 94090
Let f(u) = -13*u. Let c(d) = -11*d - 1. Let i(r) = -6*c(r) + 5*f(r). Let g(n) = -6*n**2. What is i(g(t))?
-6*t**2 + 6
Let b(k) = -32*k**2. Let g(l) be the first derivative of 7*l**2/2 - 136. Calculate g(b(d)).
-224*d**2
Let s(n) be the third derivative of -n**4/12 + n**2. Let a(u) = 2*u + 27. Let i(q) = -10*q - 131. Let g(r) = -6*a(r) - i(r). Calculate g(s(j)).
4*j - 31
Let h(c) = 159*c**2. Let g(x) = -4*x - 60. Let l(u) = -3*u - 42. Let w(p) = 7*g(p) - 10*l(p). Give h(w(d)).
636*d**2
Suppose 0 = 20*n - 24*n - 8. Let s be n*2/(2/(-7)). Let x(k) = -s*k - 4*k**2 + 7*k**2 + 14*k. Let b(c) = 2*c. Determine b(x(u)).
6*u**2
Let b(z) = -2*z. Let a(j) = j**2 + 3*j. Let i(n) = -113*n**2 - 12*n. Let g(p) = 4*a(p) + i(p). Determine b(g(u)).
218*u**2
Let d(j) = -2*j. Let b(k) be the first derivative of 12*k**2 + 351. What is b(d(p))?
-48*p
Let d(w) = -137*w + 2. Let v(j) = 130*j - 2. Let x(y) = 5*d(y) + 6*v(y). Let h(f) = -2*f. What is x(h(b))?
-190*b - 2
Suppose -w + 1 = -0*w, -3*l - 5*w + 14 = 0. Suppose -2*r - l*a = -14, 3*a + 6 = 3*r - 0*a. Let g(p) = -p - r*p + 5*p + p. Let z(n) = -9*n**2. Calculate z(g(i)).
-9*i**2
Let p(v) = 76*v. Let l(w) = 22*w - 15*w - 8*w. Give p(l(h)).
-76*h
Let t(j) = -20*j - 22*j + 41*j. Let l(b) be the second derivative of 8*b**4/3 + 2*b. Give t(l(r)).
-32*r**2
Let p(t) = 56*t + 51*t + 69*t - 205*t. Let b(y) = 2*y. Calculate p(b(g)).
-58*g
Let t(b) = -b**2 - 84*b. Let x(i) = -i**3 + 4*i**2 + 3*i + 13. Let c be x(5). Let z(j) = 14*j - c*j - 6*j - 3*j. Calculate z(t(a)).
-2*a**2 - 168*a
Let w(r) = -118*r**2 - 8*r + 18. Let d(u) = 14*u. Calculate w(d(q)).
-23128*q**2 - 112*q + 18
Suppose -g - 2*r + 4 = 0, -2*g - 2 - 8 = -5*r. Let v(q) = 59 - 3*q + g*q - 59. Let y(c) = 2*c**2. Calculate v(y(l)).
-6*l**2
Let n(j) = -219*j. Let i(c) = 2*c. Let p(x) = 4*x. Let s(z) = -9*i(z) + 4*p(z). What is s(n(u))?
438*u
Let o(f) = 4296194*f. Let q(c) = -2*c**2. Give o(q(n)).
-8592388*n**2
Let g(d) = -3*d**2. Suppose 3*r = r. Suppose -2*q + 4 + r = 0. Let x(f) = 2*f**2 + q*f**2 - 3*f**2. Give g(x(o)).
-3*o**4
Let b(a) = -11*a**2. Let h(c) be the third derivative of -11*c**4/24 - 8*c**2 - 9*c. Give b(h(v)).
-1331*v**2
Let w(m) = 15*m - 6. Let p(d) = -13*d + 5. Let x(f) = -6*p(f) - 5*w(f). Let n(l) be the first derivative of -l**2 + 2. What is n(x(k))?
-6*k
Let w(l) = -l - 2688. Let t(n) = 2*n. What is w(t(q))?
-2*q - 2688
Let a(p) be the second derivative of 0*p**3 + 0 - 7/6*p**4 - 25*p + 0*p**2. Let d(o) = -2*o. Give d(a(u)).
28*u**2
Let i(m) be the second derivative of -m**3/6 - 2*m. Let p(g) = 73*g + 71*g - 141*g. What is i(p(l))?
-3*l
Let i(h) be the second derivative of -1/6*h**3 + 0*h**2 + 13*h + 0. Let b(l) = 7*l**2 + l**2 - 4*l**2. Calculate b(i(z)).
4*z**2
Let l = 13 + -10. Suppose -3*i + 11 = l*g - 2*i, 0 = 5*i - 25. Let f(o) = -2*o**2 + 3*o**2 + 2*o**g - 2*o**2. Let p(w) = -2*w**2. Calculate p(f(d)).
-2*d**4
Let k(s) = -1016*s - 1. Let j(b) = -78*b + 3. Calculate k(j(u)).
79248*u - 3049
Suppose -4*r - 30 = -2*c, 0 = 5*c + 3*r - 0 - 62. Let n(k) = -c + 33 - k - 20. Let s(m) be the first derivative of 7*m**3/3 - 1. Determine s(n(y)).
7*y**2
Let x(u) = -2*u**2 + 105*u. Let d(q) be the first derivative of -q**2 - 249. Determine x(d(z)).
-8*z**2 - 210*z
Let o(t) = -10*t**2 - 13*t**2 + 24*t**2. Let r(j) = 13*j + 17. Calculate o(r(b)).
169*b**2 + 442*b + 289
Let y(a) = -3*a**2. Let t = -5 - -7. Suppose -5*f - 2*g = -15, -3*g + 3 = t*f - 3. Let v(n) = n - n + f*n. Give v(y(j)).
-9*j**2
Let w(o) be the first derivative of -o**4/12 + 9*o**2/2 + 5. Let u(b) be the second derivative of w(b). Let m(r) = -2*r. Give u(m(z)).
4*z
Let m(k) = 11*k + 0*k - 3*k - 7*k. Let b(u) = -4*u + 3. Let i be b(-3). Let v(n) = 5*n - 9*n - i*n. Calculate v(m(s)).
-19*s
Let k(j) = -2*j**2 + j + 1. Let p(g) = g + 1. Let d(a) = k(a) - p(a). Let s(l) be the second derivative of 7*l**3/6 + 33*l. What is s(d(i))?
-14*i**2
Let l(o) = -77355*o + 77355*o - 2*o**2. Let g(q) = -12*q. What is g(l(j))?
24*j**2
Let i(t) = 2*t - 12. Let g(h) = 5*h - 20. Let a(b) = -3*g(b) + 5*i(b). Let v(y) = -7*y. Give a(v(o)).
35*o
Let l(t) = 159030*t. Let y(z) = 8*z. What is l(y(u))?
1272240*u
Let l(s) = 2*s. Let b(y) = -21*y**2 + 6*y - 3. Let d(g) = -2*g + 1. Let u(w) = b(w) + 3*d(w). Give l(u(o)).
-42*o**2
Let m(d) = -d. Let n(l) be the third derivative of 13*l**4/12 + 384*l**2. Calculate n(m(b)).
-26*b
Let y(k) = 15*k. Let w(d) = 40*d + 65. Let l(u) = 4*u + 6. Let r(c) = 65*l(c) - 6*w(c). Give r(y(o)).
300*o
Let x(i) = 5*i. Let d(j) be the third derivative of -j**4/2 - j**3/6 - j**2 + 55. Calculate x(d(t)).
-60*t - 5
Let f(d) = 6*d - 116. Let s(y) = -584*y. What is f(s(t))?
-3504*t - 116
Let z(a) = -2*a. Let k(m) = -30*m + 2*m + 2*m + 8*m + 6*m. Give k(z(n)).
24*n
Let k(r) = r**2. Let c(p) = -195 - 13*p - 10*p - 16*p + 3*p + 38*p. Determine c(k(j)).
2*j**2 - 195
Let p(h) = -2059*h**2 - 7. Let f(c) = -c. Calculate p(f(i)).
-2059*i**2 - 7
Let s(f) = 551*f - 4. Let g be s(2). Let c(k) = 2*k + g - 1098. Let u(x) = 17*x. Give c(u(m)).
34*m
Let z(k) = -208650*k. Let m(s) = 2*s**2. What is z(m(a))?
-417300*a**2
Let k(i) be the first derivative of -6*i**3 + 72. Let j(n) = n**2. What is k(j(o))?
-18*o**4
Let q(g) = -116*g. Let h(m) = -m**2 + 4399. What is q(h(w))?
116*w**2 - 510284
Let f(q) be the first derivative of 9*q**2/2 + 35. Let h(k) be the third derivative of k**5/15 - 2*k**2. Determine h(f(b)).
324*b**2
Suppose 3*d - 6 = 3*m, 3*m = -5*d + 11 + 15. Let l(h) = 4*h - d*h - h. Let a(x) = -8*x. Calculate a(l(o)).
8*o
Let s(v) = -2*v. Let w = -158 + 80. Let m be 8/6 - w/9. Let y(c) = -6 - m + 4*c + 16. What is y(s(f))?
-8*f
Let w(n) = 21*n. Let d(j) = -3605*j**2. What is d(w(f))?
-1589805*f**2
Let u(x) = -2*x**2. Let b(d) = -94177*d**2. Give b(u(m)).
-376708*m**4
Let g(b) = -4*b**2. Let d(u) be the third derivative of -u**5/40 + u**3/2 - 2*u**2. Let n(p) be the first derivative of d(p). What is g(n(l))?
-36*l**2
Let h(y) = 397*y. Let f(i) = 575*i. Give h(f(w)).
228275*w
Let i(j) = j - 4. Let s(u) = -u + 3. Let z(a) = 3*i(a) + 4*s(a). Let y(d) = -19*d + 4. Let q(k) = 988*k - 209. Let n(x) = 4*q(x) + 209*y(x). Calculate z(n(w)).
19*w
Let o(d) = 2*d + 27. Let w(i) = 2498*i**2 - 4993*i**2 + 2505*i**2. Calculate o(w(x)).
20*x**2 + 27
Let x be (80/(-8) - -10)/(-1). Let y(d) be the second derivative of 0*d**2 + x + 7*d - 1/2*d**3. Let f(j) = -10*j. Determine f(y(a)).
30*a
Suppose -2 - 6 = -4*g. Let h(n) = 2*n - 3*n + g*n. Let j(x) = 10*x**2 - 12*x + 9. Let s(r) = -59*r**2 + 68*r - 51. Let u(q) = 17*j(q) + 3*s(q). What is u(h(d))?
-7*d**2
Let s(y) = -10*y**2 + 24*y + 2. Let i(l) = -2*l**2. Determine s(i(f)).
-40*f**4 - 48*f**2 + 2
Let j be -20*(-4 + 36/10). Let k(o) = -j*o + 6*o + 0*o. Let m(b) = 10*b**2. What is m(k(v))?
40*v**2
Let v(t) = -13*t - 3. Let n(u) = -54*u - 11. Let d(x) = 2*n(x) - 9*v(x). Let s(c) = 2*c. Calculate s(d(p)).
18*p + 10
Let w(x) = -4*x. Let f be (0 + 0 + 0)/2. Let r(a) = f + 3 + 3 - 5. Let v(g) = g**2 - 5. Let p(c) = 5*r(c) + v(c). What is w(p(z))?
-4*z**2
Let a(m) = 6*m - 8. Let x(g) = -1985*g. Give x(a(v)).
-11910*v + 15880
Let o(j) = 2*j**2. Let g(t) be the first deri | {
"pile_set_name": "DM Mathematics"
} |
5*q + 2733, -13*q + 2733 = 3*j - 9*q. What is the remainder when j is divided by 24?
23
Suppose 116*n - 78641 = 97*n. What is the remainder when n is divided by 180?
179
Suppose -6*n + 9*n = 135. Suppose 253 = 2*l - 99. What is the remainder when l is divided by n?
41
Let l(a) = -3*a**3 - 11*a**2 + 10*a - 14. Let x be l(-9). Suppose -9*b = -b - x. What is the remainder when b is divided by 25?
24
Suppose -26*n + 12*n + 1042 + 596 = 0. Calculate the remainder when n is divided by 35.
12
Let x(f) = -f**2 - 29*f + 37. Let u be x(-14). Let w = 248 - u. What is the remainder when 3 is divided by w?
0
Suppose 5*w + 38 = 2*w + 2*a, 46 = -5*w - a. Let y be 1/(-2) - w/4. Suppose 165 = y*q + 3*q. What is the remainder when q is divided by 12?
9
Let k = 5182 + -2305. What is the remainder when k is divided by 18?
15
What is the remainder when 1*(-1)/2 - (0 - 1991/2) is divided by 44?
27
Let t = -46367 - -46415. Suppose -5*a + 5*w + 65 = 0, w - 20 = -2*a - 3*w. What is the remainder when t is divided by a?
0
Suppose 0 = -4*o - o + 265. Let n = o + -14. Suppose -4*s + 50 = k, 4*s - 115 = 3*k - 41. Calculate the remainder when n is divided by s.
11
Let s(p) = p**3 + 25*p**2 + 22*p - 23. Let n be s(-24). Let v(i) = i**2 - 14*i - 22. Calculate the remainder when v(n) is divided by 51.
49
Let j be (4/8)/((-1)/(-2)). Suppose -w - j + 16 = 0. What is the remainder when 37 - 43 - (1 + -66) is divided by w?
14
Let l = -3525 + 3574. What is the remainder when 2250 is divided by l?
45
Let k(x) = 72*x + 530. What is the remainder when k(-7) is divided by 26?
0
Suppose -288*v = -289*v - 6, 3*i - v - 204 = 0. Calculate the remainder when 234 is divided by i.
36
Suppose -18*i + 40 + 8 = -6*i. What is the remainder when 358 is divided by i?
2
Suppose -4*d + 326 = 3*z, -2*z - 134 = -3*z + 5*d. Let n(g) = -7*g + 71*g**2 + 19*g + 69*g**2 - 141*g**2. What is the remainder when z is divided by n(10)?
14
Let f(h) = -2*h - 30. Let l be f(-15). Suppose 25*z - 3*j + 1 = 24*z, l = -4*j + 20. Calculate the remainder when 67 is divided by z.
11
Let j(i) = -i**3 + i**2 + 108. Suppose v + a - 50 = 0, -26*v + 36*a + 701 = -21*v. What is the remainder when j(0) is divided by v?
47
Suppose -11*y = y - 36. Suppose 0 = 3*k + y*g, 0 - 4 = -4*k - 2*g. Calculate the remainder when (240/32)/(1 - 1/k) is divided by 9.
6
Let c = 83 + -20. Suppose 10*v - 903 - 947 = 0. Suppose -20*d + v = 25. Calculate the remainder when c is divided by d.
7
Let a = -170 + 194. Calculate the remainder when 131 is divided by 6 + -1 - a/(-4).
10
Let s = 734 - 700. Calculate the remainder when s is divided by ((-2)/(-3))/((-2)/(-27)).
7
Let v be 2/7 + (-24)/(-14). Let q be 12/(-18) - (6430/(-3))/v. Suppose 22*m - q = 5*m. Calculate the remainder when m is divided by 22.
19
Suppose -t = -q + 1021, 4*t - 6022 = -2*q - 3980. Calculate the remainder when q is divided by 151.
115
Suppose 2*p + o = 2*o + 13, -4*p = 3*o - 11. Suppose -92 = -p*s - 7. Calculate the remainder when 628 is divided by s.
16
Calculate the remainder when 1706 is divided by 3 + 14/8*196 - (7 - 1).
6
Let b = 214 - 145. Suppose -23 + 83 = 12*y. Suppose 0 = -6*q + y*q + 8. What is the remainder when b is divided by q?
5
Let i = -68 + 71. Suppose i*u = -2*u + u. Suppose 10 = 2*v - u. Calculate the remainder when 13 is divided by v.
3
Let v(p) = p**3 - 17*p**2 - 10*p - 131. Suppose 94 = 4*b + 2*h + 16, -5*b - 4*h + 99 = 0. What is the remainder when v(b) is divided by 15?
11
Let y = -256 + 261. Suppose 24 = p - 2*m, 0 = y*p - 0*p + m - 164. Calculate the remainder when 94 is divided by p.
30
Let u be 4*18/8 - -15. Calculate the remainder when (3430/u - 18/72)*3 is divided by 72.
68
Let p = 3725 + -3709. What is the remainder when 783 is divided by p?
15
Let k(n) = 2*n**2 + 6*n - 5. Let h be k(-4). Suppose -h*b + 432 = 5*b. What is the remainder when b is divided by 41?
13
Suppose 4*r - 4*z = 235 + 697, -5*r + 4*z + 1168 = 0. Calculate the remainder when r is divided by ((-4)/(-10) - (-54)/(-10))*-8.
36
Suppose 0 = -2*s + r + 1182, -s + r + 605 = 4*r. What is the remainder when s is divided by 75?
68
Suppose 3*j - 18*l + 21*l = 216, j = 4*l + 52. What is the remainder when 301 is divided by j?
29
Suppose -248*b + 393 = -234*b - 111. What is the remainder when 236 is divided by b?
20
Suppose 28*x + 78 = 31*x. Suppose 0 = -3*v + g + x, 3*v - 7*v - g + 37 = 0. Suppose -7*y + 2*y + 250 = 0. What is the remainder when y is divided by v?
5
Let n be (-60)/(-3)*128/80. Calculate the remainder when 112 is divided by 6/(-8) + (1240/n)/1.
36
Suppose -63*x + 17029 + 73017 = 2917. Calculate the remainder when x is divided by 73.
69
Let g(k) = -k**2 - 127*k - 22. Let o(r) = 43*r + 8. Let v(z) = 2*g(z) + 7*o(z). Calculate the remainder when 115 is divided by v(23).
10
Suppose -8*p + 3*i + 399 = -3*p, 5*i = -p + 63. Suppose 3*s - 9 = 3. Suppose s*b - 10 - 102 = 0. What is the remainder when p is divided by b?
22
Suppose 7*q = 5*q + 14. Let s(z) = -3*z. Let t be s(0). Let u = t + q. What is the remainder when u is divided by 4?
3
Suppose -39*n = -36*n - 90. Let o = n - -2. Suppose 2*a + j = 14, -4*a = -a - 4*j - 21. Calculate the remainder when o is divided by a.
4
Suppose 3*j + 213 = -4*w + 2*j, -3*w - 161 = 2*j. Let b = 61 + w. Let p(u) = u**3 - 9*u**2 + 12*u - 5. What is the remainder when p(b) is divided by 10?
7
Suppose 8 - 16 = -m + 2. What is the remainder when 1264 is divided by m?
4
Let w(h) = -3*h - 6. Let o(v) = v - 1. Let k(b) = 5*o(b) + w(b). Suppose r - 16 = -2*y - r, -4*y = 5*r - 37. What is the remainder when k(11) is divided by y?
2
Suppose -5*a + 8 + 7 = 0. Suppose 0 = y - 2*y - 2*w + 1, a*y - 4*w = 3. What is the remainder when 88 is divided by (y - 11/(-7))/((-8)/(-56))?
16
Let r = -234 - -40. Let z = -33 - r. Calculate the remainder when z is divided by 41.
38
Let v be (-3 - 183/9)/((-1)/3). Suppose 3*p - 5*w = 58, 2*w = 4*p - w - v. Suppose 3*m - 24 = -m. Calculate the remainder when p is divided by m.
4
Let g = -3 - -69. Suppose -13*i + 118 = 4*d - 10*i, -5*d + 146 = 3*i. Calculate the remainder when g is divided by d.
10
Suppose 0 = -44*d + 30*d + 112. Suppose 5*o = 79 + 251. Let t = o + -35. What is the remainder when t is divided by d?
7
Suppose 4*u - 6 = -3*h, -h - 2 = -2*h. Suppose u = -14*g + 13*g + 68. What is the remainder when g is divided by 56?
12
Let h = 18902 + -18777. Calculate the remainder when h is divided by 27.
17
What is the remainder when (-6 + (1 - -1))*74/(-8) is divided by -1 - (-21 - -22)*(6/2 - 8)?
1
Let o = -8576 + 8748. What is the remainder when 1203 is divided by o?
171
Suppose 36 = 2*p - 10. Calculate the remainder when p is divided by 20 - ((-23)/(-3) - 300/180).
9
Suppose 6*f - 5 = t + f, -5*t - 4*f = -33. Suppose 4*p + 1 = t*p. Suppose -5*r + 81 = p. What is the remainder when 43 is divided by r?
11
Suppose 5*c - j = 260 + 175, 0 = -4*j. Let l = -8061 - -8076. Calculate the remainder when c is divided by l.
12
Let u be (7/(-2))/(9/36). Suppose -2*i + 3*i - 26 = 0. Let w = i + u. What is the remainder when 46 is divided by w?
10
Suppose -756 = d + l - 824, -2*d + l = -148. Calculate the remainder when (-5379)/(-15) - 4/(-10) is divided by d.
71
Let y(i) = -58*i - 1258. What is the remainder when y(-28) is divided by 32?
14
Let v = 282 - 277. Suppose -21 + 9 = 4*m, -2*m - 236 = -v*d. Calculate the remainder when 733 is divided by d.
43
Suppose -149*q - 773 + 9713 = 0. What is the remainder when 4858 is divided by q?
58
Let d(n) = 2*n**2 + 24*n - 21. Let j be 2 - 1 - 2 - 1*-1. Suppose j*k + 4*k + 47 = -5*g, -3*k - g = 38. Calculate the remainder when 27 is divided by d(k).
2
Suppose q - 2 = -b + 1, b - 9 = q. Suppose 2*r - n + 105 = b*r, 3*r = -4*n + 69. Suppose -f - 3*f + 412 = 0. What is the remainder when f is divided by r?
22
Let c(o) = 2*o**3 - 2*o**2 - 31*o + 75. What is the remainder when c(4) is divided by 17?
13
Let y = 1104 - 1063. Suppose 5*i - 4*s = -0*s + 44, 0 = 3*i + 5*s - 19. Suppose 4*v + 60 = i*v. What is the remainder when y is divided by v?
11
Let i(q) = -3*q**3 + 21*q - q + 29*q - q**3 - 47*q. Suppose 2 = -5*j - 3. Calculate the remainder when 15 is divided by i(j).
1
Let s be 6 + (-1)/(-4)*-4. Suppose 2*a - 2*y - 62 = 3*y, -5*y - 125 = -s*a. What is the remainder when 100 is divided by a?
1 | {
"pile_set_name": "DM Mathematics"
} |
0.06
-0.54
What is the product of 1 and -191.7?
-191.7
Multiply -1 and 4.5.
-4.5
Work out 0.44827 * 0.2.
0.089654
Product of 6247 and 4.
24988
9 * 88
792
What is -375 times -3?
1125
Calculate 14012*-3.
-42036
Multiply 209 and 3.
627
-314*0.5
-157
Calculate 8*-421.
-3368
-0.2 times 0.106
-0.0212
Multiply -0.1 and 171.
-17.1
What is -0.41 times 0.03?
-0.0123
What is the product of -2 and -0.632?
1.264
Calculate -91*4.
-364
Calculate 0.8*-0.3.
-0.24
-0.018 * -8
0.144
115*160
18400
-0.0952 times 3
-0.2856
What is 5 times -69?
-345
-12140 times 0
0
Multiply 35919 and -0.4.
-14367.6
Calculate -11.2*-4.
44.8
What is 0.2 times -875?
-175
Work out 0.211 * 14.
2.954
Work out -0.027 * -0.04.
0.00108
What is the product of -0.08 and 168?
-13.44
What is 2 times -0.7?
-1.4
3 * 10.25
30.75
Multiply 3.2 and 2.
6.4
0.4 * 0.022
0.0088
Calculate -0.4*-2912.
1164.8
-0.2 times -0.571
0.1142
1817*5
9085
Calculate -18*8.
-144
-0.03 times 14
-0.42
Multiply 0.3 and -0.848.
-0.2544
Work out -0.03 * -1595.
47.85
Product of -3 and 1322.
-3966
-0.42 times -7.6
3.192
-0.43 times -0.05
0.0215
Calculate -15.744*0.5.
-7.872
5*-0.1
-0.5
Multiply 5 and -1120.
-5600
4 times 0.47
1.88
-199.2 times -0.2
39.84
What is the product of 431 and -0.1?
-43.1
What is the product of -0.09 and -0.34?
0.0306
Calculate 0.5*40.
20
-1*-0.049
0.049
Multiply 0.06 and 70.
4.2
-22339 * 0.3
-6701.7
Product of 0.0991 and -0.1.
-0.00991
Product of -0.59 and 0.3.
-0.177
Product of 0 and 78.
0
What is 0.1 times -0.23?
-0.023
-1 times 104
-104
Calculate 0.0139*8.
0.1112
Multiply -1280 and -6.
7680
Calculate -4*1.04.
-4.16
-1 * -5.7
5.7
Work out -3 * -57.
171
Product of 2.713 and -0.2.
-0.5426
977 times 0.9
879.3
Calculate 5.832*-2.
-11.664
Work out 0.29 * 26.
7.54
Work out 20 * -0.71.
-14.2
Multiply 0.3 and 117.
35.1
Work out -55 * -160.
8800
Product of -1 and -4187.
4187
What is 0.414 times 0.4?
0.1656
Multiply -5.0183 and 4.
-20.0732
Product of -2413 and 5.
-12065
Product of -2 and -0.04258.
0.08516
Work out 1.25 * -0.1.
-0.125
Work out -12.207 * -2.
24.414
-1.3*22
-28.6
Calculate -1.5*0.5.
-0.75
Calculate -0.1*1.78.
-0.178
-45 times 1.2
-54
-1083*0.1
-108.3
Product of -28 and 268.
-7504
Multiply -12 and -159.
1908
What is 3 times -9.76?
-29.28
What is the product of -2 and 4.83?
-9.66
-251 * 1
-251
Work out 523 * -2.
-1046
Calculate -0.26*47.
-12.22
Calculate -0.04*0.81.
-0.0324
Multiply -0.16095 and -0.3.
0.048285
1.4 * -1.67
-2.338
Product of 0.4 and -0.013.
-0.0052
Product of 192 and -0.05.
-9.6
4 times 374
1496
What is the product of -2 and 17.5?
-35
Work out 2 * 10.6.
21.2
Product of -0.1 and 179.
-17.9
Multiply 0.246 and 2.
0.492
Multiply 2.585 and -5.
-12.925
Calculate 0.12*-2985.
-358.2
1.9 times -3.65
-6.935
What is -454.5 times -5?
2272.5
What is the product of 0.2 and 2.954?
0.5908
-0.4 times 356
-142.4
-386 * -2
772
Multiply -12 and -219.
2628
What is -4 times 21.4?
-85.6
What is -5 times -1.56?
7.8
-0.4 times -1.481
0.5924
What is the product of -0.05 and 0.293?
-0.01465
Calculate 0.04*-25.4.
-1.016
Multiply -0.0464 and -0.4.
0.01856
Product of -190 and -0.2.
38
Multiply -0.5 and 84.
-42
0.03*-2686
-80.58
2*-7.4
-14.8
What is the product of 0.3 and 24.9?
7.47
Work out 12 * 0.39.
4.68
Work out -4 * -0.24.
0.96
Calculate -65*-95.
6175
What is 620 times -2?
-1240
-2.21*-0.024
0.05304
64 times -67
-4288
Calculate -0.2*-0.06378.
0.012756
Product of 3082 and 4.
12328
Product of -0.5 and -0.007.
0.0035
Calculate -0.5*1134.
-567
What is the product of -2 and -12?
24
Work out 0.6 * -470.
-282
Work out -39 * 142.
-5538
What is the product of -18 and 6.5?
-117
Multiply -333 and -0.5.
166.5
Product of 12873 and -3.
-38619
What is 0.05 times 0.37?
0.0185
-0.3802 * 2
-0.7604
Calculate -3*1.8.
-5.4
What is -3 times 0.0895?
-0.2685
Product of 0.06934 and -3.
-0.20802
What is the product of 0.083 and 13.9?
1.1537
-1177 times 0.3
-353.1
2.3 * -16
-36.8
-0.11 * -2
0.22
-0.3 * 0.69
-0.207
What is 3 times 0.08?
0.24
What is the product of 0.3 and 25?
7.5
-0.06 * -3.15
0.189
Product of 2 and 195.
390
What is -0.1 times 469?
-46.9
Calculate -5*1765.
-8825
-0.679 * -4
2.716
-8 times -0.2
1.6
What is -0.264 times 0.4?
-0.1056
What is the product of 0.2 and -200?
-40
6*122
732
Product of -88.7 and -0.1.
8.87
What is the product of -4643 and -0.4?
1857.2
What is the product of 4 and -3.54?
-14.16
What is the product of -0.0148 and 0.5?
-0.0074
Work out 2.7 * 0.048.
0.1296
What is the product of 0.5 and 0.04?
0.02
-3 * 18
-54
-0.75 times 9
-6.75
-0.01 times 124
-1.24
What is -0.8 times 0.15?
-0.12
What is -163.3 times 0.02?
-3.266
0.5 * -64
-32
What is the product of 1644 and -4?
-6576
Product of 1764 and 5.
8820
-0.312*-22
6.864
What is 2 times 38?
76
0 times -405
0
Work out -80 * 0.5.
-40
-0.0265*-3
0.0795
What is -0.5 times -0.284?
0.142
What is the product of 2768 and 1?
2768
What is 106.05 times -0.3?
-31.815
What is the product of 0.1 and 0.16?
0.016
68.2*-0.01
-0.682
What is the product of -0.1 and -0.1416?
0.01416
Multiply 205 and -0.3.
-61.5
What is 1.05 times 156?
163.8
Product of 11 and 3.4.
37.4
What is the product of -3.42 and 0.4?
-1.368
613*-2
-1226
Product of 3.4 and 9.
30.6
Product of -1 and 703.
-703
Work out -51.9 * 4.
-207.6
What is 4910 times 0.2?
982
Work out 4 * 11.
44
What is 4.13 times 2?
8.26
-0.3*-6337
1901.1
What is the product of 11 and 25?
275
Calculate -3065*0.4.
-1226
-11 * 0.02
-0.22
What is 286 times -0.3?
-85.8
Work out -46 * -12.
552
-0.08 times -10
0.8
-3 * -122
366
259 times -0.4
-103.6
Calculate 0.5*-423.
-211.5
What is the product of -42 and 0.04?
-1.68
Calculate 3*107.
321
Product of 5 and -28.
-140
Calculate -0.0415*4.
-0.166
1.25 * -13
-16.25
2 times 107
214
Calculate -981.6*-5.
4908
-0.03 times -2432
72.96
Work out -0.5 * 94.1.
-47.05
Product of -6443 and 0.4.
-2577.2
-0.4*-5081
2032.4
What is the product of -2.6 and -2?
5.2
Multiply -1121 and 0.05.
-56.05
Multiply 4 and -0.583.
-2.332
0 times 3211
0
Multiply 0.5 and -344.9.
-172.45
Calculate -1.76*-0.3.
0.528
Work out 5 * -0.4.
-2
Calculate -975*-0.3.
292.5
6*1712
10272
Product of 0.9 and 148.
133.2
What is the product of -0.3 and 0.051?
-0.0153
Work out -0.4 * 722.
-288.8
Calculate -241*0.5.
-120.5
Calculate -0.3*0.038.
-0.0114
Calculate 0.4*5350.
2140
-2*2.6
-5.2
Work out -5 * 2.24.
-11.2
Product of 223 and 0.
0
-0.58 * 0.17
-0.0986
636 times 0
0
-151 * 0.01
-1.51
Multiply 0.196 and -5.4.
-1.0584
Work out -21 * -1.1.
23.1
Calculate 1.114*5.
5.57
Multiply -0.4 and -0.4.
0.16
Work out 2 * -28.
-56
106.1*5
530.5
Multiply 3 and 0.1761.
0.5283
0.1 times -1591
-159.1
What is 3.28 times 0.4?
1.312
Multiply -2033 and 0.2.
-406.6
-116*-3
348
What is the product of -287 and 5?
-1435
What is 1.1 times -10?
-11
Work out 1.31 * 0.1.
0.131
Multiply 1.01 and -0.089.
-0.08989
3*-41
-123
0.13 * 2
0.26
What is -1 times 93?
-93
Product of 1 and -60.
-60
Calculate 89*-21.
-1869
Calculate -12.6*14.
-176.4
-4 * 298
-1192
Multiply 1721 and -1.
-1721
Product of -38.901 and -0.1.
3.8901
Multiply 3.3 and -0.0847.
-0.27951
16*71
1136
Product of -0.1 and 2.634.
-0.2634
Work out -345 * -0.1.
34.5
-0.05 times -41
2.05
What is 40 times 0.3?
12
Calculate 0.416*20.
8.32
Multiply 5 and -0.69.
-3.45
15 * -0.13
-1.95
1.9 times 0.1
0.19
Calculate 0.2108*-2.
-0.4216
Product of 17 and -56.
-952
8 * 0
0
What is the product of -0.1 and -256?
25.6
15.09 times -4
-60.36
What is the product of -767 and -1?
767
0.3*0.01
0.003
Product of -4.5 and -0.5.
2.25
Multiply 0 and -0.151.
0
0.0911 * 4
0.3644
Work out -0.097 * -0.02.
0.00194
What is the product of -0.2 and -0.009?
0.0018
-0.5984 * 4
-2.3936
Product of 198 and -2.
-396
-0.5 * -47
23.5
Multiply 812 and 0.03.
24.36
Calculate -2.2*-34.
74.8
0.1*1447
144.7
Product of 0.01 and 0.01.
0.0001
Work out 4 * -1910.
-7640
0.2 times -73
-14.6
Work out 0.4 * 0.128.
0.0512
3*-0.239
-0.717
161 * -5
-805
What is -0.5 times -18?
9
Calculate 113*1.94.
219.22
What is the product of 0.226 and -0.5?
-0.113
-0.0658*-4
0.2632
Product of -0.2 and 0.0174.
-0.00348
What is -4.5 times 0.2?
-0.9
-1 times 1.1
-1.1
Work out 7 * -1.4.
-9.8
What is the product of -11.7 and -0.037?
0.4329
Multiply -31975 and 2.
-63950
-32 times 20
-640
Product of -21.8 and -5.
109
27.4 * 5
137
What is the product of 129 and -0.01?
-1.29
-5881 times -2
1 | {
"pile_set_name": "DM Mathematics"
} |
Expand (-2*d + 4*d + 0*d)*(d - d + 5*d + (-d + d - d)*(3 - 2 - 3)).
14*d**2
Expand -10*n + 11*n - 16*n + (-4 + 1 + 2)*(-5*n + n + 2*n).
-13*n
Expand (5 - 2 + 0)*(7 - v - 7 + (3 - 2 + 0)*(-1 - v + 1))*(-4*v + 5*v - 2*v).
6*v**2
Expand -3 + 2*d + 3 + (1 - 2 + 0)*(-d - 2*d + 2*d) - d + 10*d + 21*d.
33*d
Expand (-116*m**2 + 4 + 10*m + 81*m - 92*m)*(1 - 1 + m).
-116*m**3 - m**2 + 4*m
Expand 2*y**2 + 4*y - 4*y + 6*y**2 - 3*y**2 - 4*y**2 + (2 + 0 + 0)*(-44 + 19*y**2 + 44) - 5*y**2 + 2*y**2 + 4*y**2.
40*y**2
Expand (72*x - 124*x - 100*x)*(-4*x**4 + 2*x**4 + 5 - 4).
304*x**5 - 152*x
Expand (-2*f**3 + 2*f**3 - 4*f**3)*(6*f**2 - 16*f**2 + 3*f**2)*(-2 + 4 - 1)*(1 + 2 - 4).
-28*f**5
Expand 3*z**5 - 3*z**5 + z**5 + (z**3 + 2*z**4 - z**3)*(-z + 3*z - z) - 3*z**2 - 2*z**5 + 3*z**2 + 169*z**5 + 134*z**5 - 188*z**5.
116*z**5
Expand (-f + f - 2*f**2)*(0 + 1 + 1 + (1 + 1 + 0)*(6 - 4 - 3) - 6 + 4 + 4 + 35 - 102 - 111).
352*f**2
Expand (-8*c**3 - 8*c**3 + 15*c**3)*(-5 + 6 + 3)*(-6 + 10 + 2) - 2*c**3 - c**3 + 5*c**3.
-22*c**3
Expand (-8*q**2 + q**4 + 8*q**2)*((-3 + 10 + 6)*(0*q - 2*q + 5*q) + q + 3*q - 2*q).
41*q**5
Expand (0 + 0 - 3*z)*(0*z + 0*z - 2*z**2) + (z + 4*z - 4*z)*(70*z**2 - 112*z**2 + 55*z**2).
19*z**3
Expand (19 - 3 + 2)*(6*t - 3*t - 4*t).
-18*t
Expand (3*l - 2*l - 2*l)*(-5*l**2 + 0*l**2 + 3*l**2) + 0*l**3 + 3*l**3 - 6*l**3 - 2*l**2 + 22*l**3 - 4*l**3 + 2 - 7*l**2.
17*l**3 - 9*l**2 + 2
Expand (-5*r + 3*r + 3*r + (-1 + 1 - 1)*(0*r - r - r) - 6*r + 2*r - 4*r - r - 1 + 1 - r + 0*r - r + (0 - 1 + 0)*(0 + 0 - r))*(-2 - 1 + 4).
-7*r
Expand -11*x + 3*x - 11*x + (6 - 3 - 2)*(3*x + 3*x - 9*x).
-22*x
Expand -2*t**4 + 1 - 1 + (-t + 1 - 1)*(t**3 - 1 + 1) - t**4 + 3*t**4 - 4*t**4 - 4*t**4 - t**4 + 2*t**4 + 2357*t - 2357*t + 68*t**4 + t**3.
60*t**4 + t**3
Expand (0*n + 5*n + 7*n)*(0*n + n - 2*n) - n**2 - 2*n**2 + 0*n**2 + (-3 + 1 + 1)*(-n**2 + 6*n**2 + 0*n**2) + 0*n**2 - 2*n**2 + n**2.
-21*n**2
Expand -3*l**4 - l**4 + 3*l**4 + (3*l - 3*l + l**4)*(-1 + 5 - 2) + l**4 - 2*l + 2*l - 7*l**4 + 17*l**4 - 4*l**4.
8*l**4
Expand -6 + 3*r + 6 + 2*r - 3*r + 3*r + 3*r - 2*r - 3*r + (-5*r + r + 2*r)*(-3 + 3 + 1) + 19 - 19 - r + 0*r + r + 6*r.
7*r
Expand 150*t**2 + 192*t**2 - 91*t**2 + 2*t**2 - t**2 - 2*t**2 + (2*t - 2 + 2)*(0*t + t - 2*t).
248*t**2
Expand (2 - 4*l - 2)*(-2*l + 4*l - 3*l)*(-1 + 7 + 10).
64*l**2
Expand (5*s**3 + 15*s - 15*s)*((3*s - 7*s + 2*s)*(-9 + 9 + 4*s) - s**2 - 10*s + 10*s).
-45*s**5
Expand (-3 + 3 - 2*s + (3 - 3 + 1)*(2*s - 6*s + 2*s) - s + s - 2*s - s + 0*s - s)*(-49 - 52 + 80).
168*s
Expand 0*b + 3*b - 2*b + (-b - 3 + 3)*(-45 + 19 - 17).
44*b
Expand 22*b + 28*b**3 - 39*b + 20*b + (-b - b + b)*(b**2 + 3*b - 3*b).
27*b**3 + 3*b
Expand 4*p + 8*p - 5*p - p - 3*p + 7*p - p + 2*p - 2*p + (5 - 6 - 1)*(-3*p + 0*p + 2*p) + 0*p + 0*p - p.
10*p
Expand (-1 - 1 - 1)*(3597 - 3597 + 69*f).
-207*f
Expand (-2*p**2 + 3*p**2 - 2*p**2)*(5 + p**2 - 5)*(25 + 7 + 4) - 2*p**2 + 4*p**4 + 2*p**2 + (-2*p + 3*p + 0*p)*(2*p**3 + 3*p**2 - 3*p**2).
-30*p**4
Expand (1078*s**2 - 1078*s**2 - 74*s**3)*(11*s**2 + 8*s**2 - 3*s**2) - 2*s**5 - 3 + 3 + (2*s**2 - 4*s**2 + 0*s**2)*(3 + s**3 - 3).
-1188*s**5
Expand ((2 - 2 + v)*(2 + 2*v**2 - 2) + (0 + 0 + 2*v**2)*(-v + 2*v + v))*(-12*v - 30*v + 11*v**2 - 9*v**2).
12*v**5 - 252*v**4
Expand -m + m + m**5 + (-4 + m**2 + 4)*(-7*m**3 + 6*m**3 - 8*m**3) + m**5 + 9672*m**2 - 9672*m**2 + 17*m**3.
-7*m**5 + 17*m**3
Expand 0*s**5 + 5*s**5 - 2*s**5 + (-4*s**4 + 0*s**4 + 3*s**4)*(s + 0*s - 2*s) + 949*s**4 - 949*s**4 + 4*s**3 - 10*s**5.
-6*s**5 + 4*s**3
Expand (34 - 44 - 103)*(3 + 1 - 3)*(4*n + n - 2*n).
-339*n
Expand (n + 2*n - 4*n)*(-n**2 + 4*n**2 - n**2) - 8 - 47*n**3 + 125*n**3 - 57*n**3.
19*n**3 - 8
Expand (0*b**2 - 2*b**2 + 0*b**2)*(215 + 22*b - 215) - 2*b**3 + b**3 + 0*b**3 + 2*b**3 + 2*b - 2*b.
-43*b**3
Expand (-5*g + g + 3*g)*(0 + 0 - g**2) + (0*g - g + 4*g)*(13 - 2*g**2 - 13).
-5*g**3
Expand (-2*u**2 + u**2 - 2*u**2)*((u - u - 2*u)*(-4 + 5 - 3) - 2*u - 14*u + 3*u + (-u + 3 - 3)*(3 - 4 + 3)).
33*u**3
Expand (2 + 3 - 4)*(79*l + 1066 - 1066) + l - l + 2*l + (l + 4*l - 4*l)*(3 + 1 - 5).
80*l
Expand -196*i**5 - 3*i + i + 195*i**5 + (0*i**3 + 2*i**3 + 0*i**3)*(-1 + 2*i**2 + 1) + 0*i + 0*i - 2*i**5.
i**5 - 2*i
Expand (-5 + 1 - 4)*(-2*k - 2*k + 5*k)*(-k**4 + 0*k**4 - 5*k**4).
48*k**5
Expand (-7*l - 3*l + 3*l)*(1 - 2*l - 1) + (-l - 2*l + l)*(-2*l + 4*l - l) - 9*l + 9*l - 3*l**2.
9*l**2
Expand (-17 + 17 - 7*a)*(1 + 6*a**3 + 8*a**3 - 2*a**3).
-84*a**4 - 7*a
Expand (-10*w + w - 4*w)*(-75 - 73 + 32).
1508*w
Expand (-2 + 1 + 2*o - o)*(-55 + 13*o + 55) - 11 - 5*o**2 + 11.
8*o**2 - 13*o
Expand (-1 + 0 - 9 + 1 + 3 - 2 + (4 - 4 - 2)*(-1 + 0 + 2))*(-2*o**4 + 3*o**4 - 6*o**4).
50*o**4
Expand 92*h - 6537 + 6537 - h + 4 - 4 + (-2*h + 2*h - h)*(-2 + 0 + 3) - h + h - h - 2*h + 4 - 4 + h - h - 2*h.
85*h
Expand (0*b + 0*b - b)*(-8 + 8 - 5*b) + (3 + 0 - 4)*(2*b**2 - 4*b**2 + 3*b**2) - 171 + 171 + 11*b**2.
15*b**2
Expand (-q**3 - q**3 + 0*q**3)*(-5*q**2 + 5*q**2 + 2*q**2) - 392*q**3 + 40*q**5 + 387*q**3 - 38*q**5 + 13.
-2*q**5 - 5*q**3 + 13
Expand (2 - 5 + 2)*(-c**2 + 0 + 0) + 19*c + 1024*c**2 - 16*c - 3*c + 2526*c**2.
3551*c**2
Expand (-i + 36 - 9*i + 12*i)*(0*i**3 + 3*i**3 - 4*i**3).
-2*i**4 - 36*i**3
Expand (-i + i**3 + i)*(-1 + 0 + 3) + (-i**3 - 3*i**3 + 2*i**3)*(4 - 6 - 1)*(4 + 8 + 8).
122*i**3
Expand (-3072*u**2 - 14*u - 13*u + 3076*u**2)*(2*u**2 - 2*u**2 + 2*u**3).
8*u**5 - 54*u**4
Expand (4*m**2 + 8*m**2 - 8*m**2)*(5*m - 2*m + 5*m).
32*m**3
Expand (0*h**3 + 2*h**3 + 0*h**3)*(-1 - 125*h - 74*h + 152*h).
-94*h**4 - 2*h**3
Expand (-26*l - 25*l + 57*l + 3)*(0 + 3 - 2)*(-2*l**3 + 3*l**2 - 3*l**2).
-12*l**4 - 6*l**3
Expand (-s**4 - s**4 + s**4 + (0 - 1 - 2)*(2*s**4 + 4*s**4 - 5*s**4))*(-1 - 2 + 7 + (0 + 2 - 1)*(1 + 4 - 3)).
-24*s**4
Expand (-v - 3*v + 3*v)*(4*v - v + 3*v) + 0*v**2 + v**2 - 2*v**2 + (2*v + 22 - 22)*(v - 4*v + 5*v + (-v + 2*v + 0*v)*(-2 + 1 - 1) - 4 + 4 - 2*v + 7 - 2*v - 7).
-15*v**2
Expand -22*s - 39*s + 14*s + (-3 + 2*s + 3)*(-1 + 1 + 1) + 2*s - 2*s - s + 2*s - 3*s + 0*s.
-47*s
Expand (5*t - 2*t - t + (-4*t + t + t)*(-57 - 11 - 2))*(19*t**3 + 160*t**2 - 160*t**2).
2698*t**4
Expand (3*y**2 - 21*y**2 + 10*y**2)*(-4 + 2 + 4) + (0 + 4 + 1)*(-3*y - 2*y**2 + 3*y).
-26*y**2
Expand ((2 - 1 - 2)*(-5 + 5 - b) - 3*b + b - 5*b)*(0 + 0 + 2) + (2 + 1 - 1)*(2*b - 4*b + 3*b) + 0*b + 2*b - b.
-9*b
Expand -3*v**5 + 15*v**5 - 7*v**5 + (6*v**2 - 3*v**2 + 2*v**2)*(-2*v**3 + 3*v**3 + 0*v**3) + v**5 + 2 - 2 + v**5 - 4*v**2 + 4*v**2.
12*v**5
Expand (m**4 - 3 + 3)*(-m + 0*m + 0*m) + 0*m**5 + 21*m**3 - 12*m**5 - 22*m**3.
-13*m**5 - m**3
Expand (11 + 0 + 12)*(2 - 2 - 6*r)*(3*r**4 + 4*r**4 - 6*r**4).
-138*r**5
Expand (-b + 3*b + 0*b)*(-2 + 5 + 0)*((0 + 0 - 1)*(-1 + 3 + 0) - 1 - 3 + 2 + 104 + 19 - 17 + 1 - 3 + 0 + (2 - 3 + 0)*(-3 + 0 + 5) + 2 - 5 + 4 - 1 + 0 + 3).
606*b
Expand (6*v - 3*v + v)*(6*v - 5*v + 3*v)*(-5820 + 5820 + 14*v).
224*v**3
Expand (-4 - 1 + 3)*(7*v**2 - v**2 - v**2)*(27*v + 129*v - 60*v)*(2*v - 2*v + 2*v**2).
-1920*v**5
Expand (313*z**2 + 251*z**3 - 313*z**2)*(2 + 0 + 0).
502*z**3
Expand (0 - 2 + 0)*((o**2 - o**2 + o**2)*(o + 0*o + 0*o) - 71*o**3 - 183*o**3 + 47*o**3).
412*o**3
Expand (-d + 2*d - 3*d)*(3*d**3 - 3*d**3 - 2*d**3) - 3*d + 3*d - 2*d**4 + 0*d + 2*d**4 + 0*d + (-5*d**2 - d**3 + 5*d**2)*(3*d - 19*d + 2*d).
18*d**4
Expand -1 + 4 - y - 1 + (-2 + 2 + 2)*(12 - 12 + 33*y).
65*y + 2
Expand (0 + 1 + 0)*(-2*g + g - 3*g)*(-9*g**4 - 3*g**4 - g**4).
52*g**5
Expand (6*x - 3*x - 4*x + (-6 + 6 + 5*x)*(14 - 36 - 16))*(0 + 0 - 1).
191*x
Expand ((-z - z + z)*(3*z**4 - 2*z**4 - 6*z**4) + z**5 - 2*z**2 - 3*z**5 + 6*z**5)*(0 - 3 + 1 + (-4 + 1 + 4)*(3 - 3 - 1) + 1 + 1 + 0 - 2 - 2 + 2).
-27*z**5 + 6*z**2
Expand (0*b - 2*b + b)*((2 + 0 + 0)*(2*b - 3*b + 2*b) - b + 0*b + 4*b)*(2*b**3 + 0*b**3 - b**3) + 5*b**5 - 4 + 3*b**5 + 3*b**5.
6*b**5 - 4
Expand (24*j - 6*j + 31*j)*(2*j**2 + 0*j**2 - j**2).
49*j**3
Expand (-18*y**2 - 8*y**2 + 13*y**2)*(3 - 11 + y + 3).
-13*y**3 + 65*y**2
Expand (2*r - 2*r - 8*r)*(0 + 8 - 2)*(-4*r**2 + 2*r**2 + 0*r**2)*(r**2 + 3*r**2 - 5*r**2).
-96*r**5
Expand (-23*g + 118*g - 17*g + 78*g)*(5*g + 13 - 13).
780*g**2
Expand -7*o**2 - 14*o**2 - 19*o**2 - o**2 - 5*o**2 + 4*o**2 + (o - o**2 - o)*(-3 + 4 + 1) - o**2 + 2*o**2 - 4*o**2.
-47*o**2
Expand (3*l + 11*l + 4* | {
"pile_set_name": "DM Mathematics"
} |
d k to the nearest one thousand.
11000
Let w = -327.883 + 329. Round w to one decimal place.
1.1
Let v = 25.01 - 25. Round v to three dps.
0.01
Let l = 5.3 - 1.9. Let b = 3.21 - l. Let g = b + -4.71. Round g to 0 decimal places.
-5
Let q = 0.04 + -7.04. Let a = q - -7.2. What is a rounded to two dps?
0.2
Let j = -130.4451 - -144.44493. Let q = -16 - -30. Let d = j - q. Round d to 4 dps.
-0.0002
Let u = -40682 + 75482. Round u to the nearest one thousand.
35000
Let n be 1 + (0 + 2 - 1). Suppose -n*b + 17100 = b. What is b rounded to the nearest one thousand?
6000
Let t = -3575 - -3574.83965. Let y = t + 0.16. What is y rounded to four dps?
-0.0004
Let p = 412.94 + -417. Let k = p - -4. Round k to 1 decimal place.
-0.1
Suppose -5*p + 2*p - 22449 = 0. Let n be -441*p/(-1) + 3. What is n rounded to the nearest 1000000?
-3000000
Let a = -33 + 33.49. Let s = -0.14 + a. What is s rounded to one dp?
0.4
Suppose -2*n + 29008 = -5*g, -3*g + n - 6726 = 10678. What is g rounded to the nearest one thousand?
-6000
Let c = 3 - 2.81. Let d = c - 0.189879. What is d rounded to 5 dps?
0.00012
Let p = -1.1999926 + 1.2. What is p rounded to 6 decimal places?
0.000007
Let r = 724907 - 194907. What is r rounded to the nearest 100000?
500000
Let q = 14909 + -14909.0999888. Let k = q - -0.1. What is k rounded to 6 decimal places?
0.000011
Suppose 5*h = 2*d + 12, 3 = -3*h + 4*d + 13. Suppose -3*k + 2*j - 17599994 = -h*k, 3*k + 4*j = -52800012. Round k to the nearest 1000000.
-18000000
Let w(u) = u. Let j be w(3). Let o be 2359*(-4)/j*-3. Let b = -23436 + o. Round b to the nearest ten thousand.
-10000
Let x = -23115734 - 53454482. Let k = x + 76570198.0000014. Let o = k - -18. Round o to 6 decimal places.
0.000001
Let l = -14.7101 - -14.7. What is l rounded to two dps?
-0.01
Let h(i) = -2003395*i**3 - 2*i**2 - 2*i. Let v be h(-2). Let g = 5427156 - v. Round g to the nearest one million.
-11000000
Let k = -1.9 + 1.49. Round k to 1 decimal place.
-0.4
Let a be 12/(-9) + 1/3. Let g be (-3 + 0)/(-2 - a). Let b be -1 + -168 + (2 - g). Round b to the nearest one hundred.
-200
Suppose 145 = -g + 905. What is g rounded to the nearest 100?
800
Let m(h) = h**3 + 23*h**2 - 3*h + 31. Let y be m(-13). Round y to the nearest 100.
1800
Let r = 18488 - 18531.981. Let y = r + 44. What is y rounded to 3 decimal places?
0.019
Let r = -1.2 + 1.199997. Round r to 5 dps.
0
Let m = -77062330 - -77062355.0000086. Let x = m + -25. What is x rounded to six decimal places?
0.000009
Suppose 5*t + 127000010 = -5*y, -3*t + 4477643 = -2*y - 46322351. Round y to the nearest 1000000.
-25000000
Let r(j) = 2*j**3 - j + 1. Let a be r(1). Suppose -a*h = -3*h - 1. Round h to the nearest integer.
-1
Let d be 4/(-6) + 178/(-3). Let l = -18 - d. Let g = -17 + l. What is g rounded to the nearest 10?
30
Let u be 0 - -2 - (-1 + -163371). Suppose -136626 - u = -3*z. Suppose 0*g - z = 5*g. Round g to the nearest 10000.
-20000
Let i be 3 + -4 - 59*1. Let p be i/7*(3 + 4). Let u be p/(-2 + 75/42). Round u to the nearest one hundred.
300
Let x(q) = 4*q**2. Let c be x(-1). Suppose 2*g = 2*b - 10396, -b - 20810 = c*g + 4*b. Round g to the nearest 1000.
-5000
Suppose -t + v = -268, -5*v - 786 - 284 = -4*t. Round t to the nearest one hundred.
300
Let i = -518 + 124. Let b = -398.9925 - i. Let f = b - -5. Round f to three dps.
0.008
Let f = 0.02 + -6.02. Let o = f + 5.999983. What is o rounded to 5 dps?
-0.00002
Let y = 23.1516 + 16.52375. Let c = y - 40.675. Let j = -1 - c. What is j rounded to four decimal places?
-0.0004
Let i = 5 + -5.12. What is i rounded to 2 dps?
-0.12
Let i = -68 + 77.8. Let o = -1.8 + i. Let h = 8.00000096 - o. Round h to seven dps.
0.000001
Let p = 2.3 - 2.3000007. Round p to 7 dps.
-0.0000007
Let l = -23.934 - -22.73443. Let y = l + 1.2. What is y rounded to 4 dps?
0.0004
Suppose 34 = 3*b - 62. Suppose 2*y - b = 3*o - 5, 0 = -y + 2*o + 15. Suppose j = -0*j - y. What is j rounded to the nearest ten?
-10
Let c = 54.00284 - 54. Round c to 3 decimal places.
0.003
Suppose -k - 1 = 3. Let f be ((-4)/(-6))/(k/(-18)). Suppose -f*g - 570885 - 749115 = 0. Round g to the nearest one hundred thousand.
-400000
Let a = -0.64 + 0.1. Let y = -0.91 - a. Round y to one dp.
-0.4
Let j = 103 - 94.2. Let u = -29.2 - j. Let p = -38.000093 - u. What is p rounded to five decimal places?
-0.00009
Let k = -7066 + 7062.0015. Let w = 0.1 + -4.1. Let a = w - k. Round a to three dps.
-0.002
Let c = 153 - 97. Let f = 87950 + -88006.031. Let o = c + f. Round o to two dps.
-0.03
Let t = -89 + 88.925. What is t rounded to 2 decimal places?
-0.08
Let m be 2280/(-36)*(-11 - 1). Round m to the nearest 100.
800
Let w = -89.358 - -107.38. Let t = w + -18. What is t rounded to two dps?
0.02
Let x = 4 + -3.6. Let j = -12885.299996 + 12884.9. Let r = x + j. What is r rounded to six decimal places?
0.000004
Let w = -0.8 + -9.2. Let t = w + 9.9999975. Round t to six dps.
-0.000003
Let f = -9296 + -5704. What is f rounded to the nearest one thousand?
-15000
Let g(w) = -364999*w - 2. Let b be (11 + -10)/((-2)/20). Let l be (-24)/(-15) - 4/b. Let y be g(l). Round y to the nearest 100000.
-700000
Let l = 64 + -63.645. Let s = l - 0.35500173. Round s to 7 decimal places.
-0.0000017
Suppose -59999908 = -2*h - 2*y, -2*y + 13 = 5. Suppose -g + h = 4*g. Suppose -a = 2*l + l + 5999995, 2*a + g = -3*l. Round l to the nearest 1000000.
-2000000
Let v = -13 - -8. Let n = v + 4.999995. Round n to 6 dps.
-0.000005
Let a = 0.022 - 0.02201237. What is a rounded to six dps?
-0.000012
Let s = 188.95 + -34.05. Let p = -291 - -129. Let l = s + p. What is l rounded to zero decimal places?
-7
Let n = 1 + 2. Suppose 5*m = -n*t + 74978, 8*t - m - 124954 = 3*t. Suppose 5*q = 3*y - t, -2*y + 4*y + 25006 = -5*q. What is q rounded to the nearest 10000?
-10000
Let w = 1459168 - 2169168. What is w rounded to the nearest one hundred thousand?
-700000
Suppose -2*l - 3*l + 2*b - 9 = 0, 0 = 2*b + 6. Let j be 422999/l + (-7)/21. Round j to the nearest ten thousand.
-140000
Let m = -1843432.9999925 - -1843439. Let w = 4 + 2. Let k = m - w. Round k to 6 dps.
0.000008
Suppose 0 = 2*v + 3*m + 185, 105 = -2*v + v + m. Round v to the nearest one hundred.
-100
Suppose 0*c + 5*c = 144025. Suppose -c = -i + 43195. What is i rounded to the nearest ten thousand?
70000
Let q be (5709/(-9) + 1)*1500. What is q rounded to the nearest one hundred thousand?
-1000000
Let s = 63.0042 + -63. Round s to four decimal places.
0.0042
Let d(k) = 9400001*k**2 - 1. Let b(c) = c**3 + 4*c**2 - 6*c - 6. Let y be b(-5). Let p be d(y). Round p to the nearest 1000000.
9000000
Let d = -0.6 + 0.72. Let x = 0.168 - d. Let y = x + -0.0480023. What is y rounded to 6 dps?
-0.000002
Let t = 58 + -60.3. Let o = 2.365 + t. What is o rounded to two dps?
0.07
Suppose 0 = 5*w - 0*m - 3*m + 4415, 870 = -w - 2*m. Round w to the nearest 1000.
-1000
Let n = 0.9 + -0.52. Round n to 1 decimal place.
0.4
Let i(r) = -74*r + 4. Suppose 4*v - 17 - 3 = 0. Suppose 5*s + 2 - v = -3*h, 30 = 4*h - 2*s. Let x be i(h). What is x rounded to the nearest one hundred?
-400
Let y = 0.1473 + -0.156. What is y rounded to 3 decimal places?
-0.009
Let l be (-16 - (-1 - 0))*(-1292)/(-102). What is l rounded to the nearest 100?
-200
Let c = -11.14 - -0.14. Let y = 11.0002 + c. What is y rounded to four decimal places?
0.0002
Let i = -118 + 118.000013. Round i to five decimal places.
0.00001
Let w(y) = 795000*y. Let t be w(-2). Round t to the nearest 100000.
-1600000
Let w = 2.144 - 0.114. Let r = -4 + 6. Let i = r - w. What is i rounded to 2 dps?
-0.03
Let q = -12.2 - -12. Let l = q - -0.08. Round l to 2 decimal places.
-0.12
Let b = -14.0612076 + 14.9612. Let g = b - 0.9. Round g to 6 decimal places.
-0.000008
Let p = -2 - -8. Let v = p + -6.0001. What is v rounded to four decimal places?
-0.0001
Suppose b - 20 = -4*b. Suppose -b*k + 1 = -3*i + 2, -3*i + 2*k = 1. Let o be (-103003 - -2) + (-1)/i. What is o rounded to the nearest ten thousand?
-100000
Let x = -86.25 + 45.99. Let c = -41 - x. What is c rounded to one decimal place?
-0.7
Let i(v) = 2*v**2 - 6*v - 39. Let l be i(-6). What is l rounded to the nearest ten?
70
Let o(w) = 23*w**2 + 2*w + 4. Let x be o(2). Let m be (-116)/(-3) - 4/6. Let i = x - m. Round i to the nearest 10.
60
Le | {
"pile_set_name": "DM Mathematics"
} |
hat is 4*c(l) - 7*x(l)?
l + 17
Let n(a) = -8*a**2. Let y(r) = -r**2. Let b(h) = -h + 3. Let v be b(-3). Suppose -10*w + v*w = 4. What is w*n(x) + 6*y(x)?
2*x**2
Suppose 2*p - 4*p = -5*n + 9, -4*p = 3*n - 47. Let o(x) = 4*x**2 + x + 2. Let c(b) = 11*b**2 + 2*b + 5. Determine p*o(f) - 3*c(f).
-f**2 + 2*f + 1
Let x(g) = g**2 - 9*g + 4. Let j be x(10). Let t(y) = 8*y + 1. Let m(k) = k. Let s be (-2)/(-4) + 5/(-2). Give j*m(n) + s*t(n).
-2*n - 2
Let w(x) = -9*x**2 - 7*x - 9. Let s(a) = -5*a**2 - 4*a - 5. Determine 11*s(u) - 6*w(u).
-u**2 - 2*u - 1
Let d(k) = 4*k**2 - 5*k + 1. Let o(w) = 2*w**2 - 2*w. Let u = 28 + -23. Give u*o(x) - 2*d(x).
2*x**2 - 2
Let b(r) = 4*r**3 - 2*r**2 + 6*r + 3. Let i(h) = h**3 + h**2 + h + 1. Determine -b(l) + 3*i(l).
-l**3 + 5*l**2 - 3*l
Let a(j) be the second derivative of 49*j**4/6 + 35*j**2/2 + 31*j. Let c(i) = 11*i**2 + 4. What is -4*a(d) + 35*c(d)?
-7*d**2
Let o(f) = f + 4. Let y(n) = -n - 5. Calculate 6*o(c) + 7*y(c).
-c - 11
Let f be (-15)/2*10/15. Let m(t) be the first derivative of 0*t - 5/4*t**4 - 2*t**3 - 1 + 3*t**2. Let q(n) = -4*n**3 - 5*n**2 + 5*n. What is f*m(i) + 6*q(i)?
i**3
Let k(s) = -s**3 - 4*s**2 + 76. Let b(t) = -3*t**3 - 11*t**2 + 227. Calculate 4*b(n) - 11*k(n).
-n**3 + 72
Let d(x) = 2*x - 7. Let b be (-3)/(-3) - (1 + -15). Suppose -3*s - 2*j = j + b, -4*j = -8. Let h(i) = 2 - 2 + i - 4. Calculate s*h(u) + 4*d(u).
u
Let a(d) = d - 1. Let j(u) = -5*u + 22. What is 4*a(w) + j(w)?
-w + 18
Let p(a) = -22*a - 3. Let d(i) = -21*i - 2. Calculate -5*d(t) + 4*p(t).
17*t - 2
Let w(r) = -r + 1. Let v(i) = -7*i - 13. Give v(y) - 6*w(y).
-y - 19
Let s(a) = -8 - 6 + 5 - 3*a. Let z(m) = 3*m + 8. Let n(q) = -5*s(q) - 4*z(q). Let l(d) = -2*d - 9. Suppose 28 = 4*o - 0. Determine o*l(j) + 5*n(j).
j + 2
Let d(j) = -2*j**3 + j**2 + 3*j + 3. Let m = 1 - -4. Let p(g) = -4*g + 4*g**3 - 2*g**3 - m + 3 + 2*g. Determine -2*d(c) - 3*p(c).
-2*c**3 - 2*c**2
Let g(s) be the second derivative of -s**3/6 + 5*s. Let l(d) = -d + 4. Calculate -3*g(u) + l(u).
2*u + 4
Let t(g) = g**3 - g**2. Let i(z) = -6*z**3 + 7*z**2 - 2. Calculate -i(s) - 4*t(s).
2*s**3 - 3*s**2 + 2
Let p(f) be the first derivative of -3*f**4/2 + f**2/2 - 5*f + 4. Let n(x) = x**3 + 1. Determine -10*n(q) - 2*p(q).
2*q**3 - 2*q
Let s(p) = 5*p**3 - 4*p**2 + 2. Let w be ((-10)/3)/((-4)/6). Let y(d) = 2 + 2*d**2 + 2*d**2 + 6*d**3 - 5*d**2 - 4*d**2. Give w*s(u) - 4*y(u).
u**3 + 2
Let q(d) = 7*d**3 - 7*d**2 - 5*d + 4. Let z(o) be the second derivative of 3*o**5/20 - o**4/4 - o**3/3 + o**2 - 7*o. Give 2*q(x) - 5*z(x).
-x**3 + x**2 - 2
Let f(q) = -475*q + 57. Let s(o) = -17*o + 2. Determine 2*f(d) - 57*s(d).
19*d
Let v be (-2)/((-5)/((-15)/6)). Let l(d) = -d**2 - d. Let s be 1 + 0*(3 + -2). Let u(x) = -2 + 0 + 2 - s - 5*x**2 - 3*x. Give v*u(h) + 3*l(h).
2*h**2 + 1
Let n(z) = z**2 - 2*z - 7. Let u(v) = -v**2 + 2*v + 6. Calculate 2*n(f) + 3*u(f).
-f**2 + 2*f + 4
Let v = -22 - -19. Let l(w) = 15. Let o(z) = -7. Let a(n) = -6*l(n) - 13*o(n). Let u(i) = -2*i - 5. Calculate v*a(s) - u(s).
2*s + 2
Let i(f) = 5*f**2 + 5*f + 3. Let v = 10 - 3. Let k = -4 - -6. Let r(w) = -k*w + 5 + 9*w**2 + v*w + 4*w. Calculate -5*i(j) + 3*r(j).
2*j**2 + 2*j
Let t(q) = 3*q + 2. Let h = -1 - 4. Let i(u) = 6*u + 4. Determine h*t(z) + 3*i(z).
3*z + 2
Let p(f) = 3 + 3*f - f + f**2 + 2*f. Let y be p(-4). Let i(c) = 3*c + 2. Let s(t) = -2*t - 2. What is y*i(g) + 4*s(g)?
g - 2
Let r(d) = 2*d - 2. Let h(t) be the third derivative of t**4/6 - 5*t**3/6 + 16*t**2 + 2*t. Determine -2*h(z) + 5*r(z).
2*z
Let f(a) be the first derivative of -4*a**3/3 + 7*a - 2. Let r be (276/(-21))/4 - (-2)/7. Let i(b) = 2*b**2 - 3. What is r*f(p) - 7*i(p)?
-2*p**2
Let v = 42 - 46. Let n(b) = -3*b + 5. Let h(u) = -3*u + 6. Give v*h(o) + 5*n(o).
-3*o + 1
Let i(p) = -7*p - 4. Let x(m) = 15*m + 8. Determine 13*i(k) + 6*x(k).
-k - 4
Suppose z - 1 = -6. Let l(q) = 5*q. Let f(w) = 9*w. What is z*l(h) + 3*f(h)?
2*h
Let t(n) be the third derivative of n**5/30 + n**4/12 - 5*n**3/6 - 36*n**2. Let s(m) = 2*m**2 + 2*m - 6. Determine -2*s(y) + 3*t(y).
2*y**2 + 2*y - 3
Let r(k) = -8*k. Let p(c) = -c. Determine -10*p(j) - 5*r(j).
50*j
Suppose -2*i - w = 7, 0 = 4*i - 0*i + w + 15. Let o(m) = 2*m**2 - 2*m + 5. Let t(c) = 2*c**2 - 2*c + 4. Determine i*t(n) + 3*o(n).
-2*n**2 + 2*n - 1
Let o(a) = 7*a**2 - 4*a + 9. Let d(m) = -4*m**2 + 2*m - 5. What is 11*d(r) + 6*o(r)?
-2*r**2 - 2*r - 1
Let f(p) = -1. Let a(l) = l + 21. Calculate a(j) + 2*f(j).
j + 19
Let n(r) = -31*r**2 - 16*r - 5. Let x(v) = 6*v**2 + 3*v + 1. Determine -2*n(g) - 11*x(g).
-4*g**2 - g - 1
Let n(v) = 5*v**3 + 3*v**2 + 14. Let l(r) = -4*r**3 + r**2 - 2*r - 5. Let p(m) = -m**3 + m**2 - m. Let w(o) = -l(o) + 2*p(o). Give 4*n(k) - 11*w(k).
-2*k**3 + k**2 + 1
Let a(z) = -6*z + 2. Let g(h) = -6*h + 1. What is -4*a(s) + 6*g(s)?
-12*s - 2
Let t(q) = -18*q**3 - 4*q**2. Let r(x) = x**3 + x**2. What is 4*r(s) + t(s)?
-14*s**3
Let w(d) = d - 1. Suppose r = -3*j - 3*r - 30, -4*j + 2*r = 18. Let t(x) = x**3 + 0*x**3 - x**3 - 4*x + 6 - 2*x**3. Calculate j*w(g) - t(g).
2*g**3 - 2*g
Let p(s) = 7*s + s - 2*s + 7*s. Let b(a) = 27*a. What is 6*b(g) - 13*p(g)?
-7*g
Let y(v) = 6*v**2 - 5*v - 5. Suppose -2 = -q - 4*j + 13, -25 = q - 4*j. Let a = -36 - -37. Let k(u) = u**2 - u - 1. Give a*y(n) + q*k(n).
n**2
Let a(o) = 74*o**2 - 7*o - 7. Let r(m) = -37*m**2 + 3*m + 3. What is -3*a(v) - 7*r(v)?
37*v**2
Let o(r) = 12*r - 2*r + 2*r + 10. Let b be 3 + (-6)/(-2) + -5. Let u(l) = l + 1. Calculate b*o(z) - 10*u(z).
2*z
Let j(g) = 3*g - 8. Let n(y) = -7*y + 15. What is -5*j(q) - 2*n(q)?
-q + 10
Let i(w) = -7*w**3 + 5*w**2 - 5. Let z(d) = 3*d**3 - 2*d**2 + 2. Let c be ((-15)/6)/(3/6). Determine c*z(u) - 2*i(u).
-u**3
Let g(q) = q**2 - q + 1. Let w = 16 + -13. Suppose -p + 2*p = w. Let z(o) = -3*o + 3. Determine p*g(y) - z(y).
3*y**2
Let x(k) = -k**2 + k + 3. Let n(j) = -4*j**2 + 2*j + 8. Calculate 3*n(y) - 8*x(y).
-4*y**2 - 2*y
Let w(n) = n. Let c be ((7 - -2) + -1)/1. Let b(p) = 3*p. Suppose 0*v - 12 = m + v, 4*m - 2*v + 30 = 0. Let k = m + 6. Determine c*w(z) + k*b(z).
-z
Let x(o) = 18*o**3 + 3*o**2 - 3. Let q(c) = -c**2 + 1. What is 3*q(y) + x(y)?
18*y**3
Let y(c) = c**3 - 2*c. Let b(i) be the third derivative of -i**6/40 + 7*i**4/24 + 7*i**2. What is -2*b(u) - 7*y(u)?
-u**3
Let r(p) be the third derivative of -7*p**4/24 - 2*p**3/3 - 59*p**2. Let o(f) = -8*f - 5. Determine -6*o(k) + 7*r(k).
-k + 2
Let m(p) = -p - 1. Let g(i) be the first derivative of 5*i**2/2 + 6*i + 6. Calculate -g(t) - 6*m(t).
t
Let h(u) = -u**2 - 5*u + 2. Let v be h(-5). Suppose 0 = v*g - 4 - 8. Let j(l) = -11 - 5 + g - 10*l. Let z(k) = -k - 1. Calculate 2*j(m) - 22*z(m).
2*m + 2
Let a(n) = -5*n + 6. Let h(u) = -3*u - 1 + u + 3*u + 0*u. What is -2*a(v) - 11*h(v)?
-v - 1
Let w(u) = -2*u**3 - 4*u**2 + 4*u - 4. Let y(b) = b**3 + b**2 - b + 1. Calculate w(m) + 4*y(m).
2*m**3
Let k(x) = x - 9. Let l(y) = -y + 19. Give -13*k(w) - 6*l(w).
-7*w + 3
Let y(u) = 15*u**3 + 13*u**2 - 13. Let l = 37 + -43. Suppose -2*f = 3*f - 30. Let d(v) = 7*v**3 + 10*v**2 - f - v**2 - 3*v**2. Give l*y(g) + 13*d(g).
g**3
Let a(d) = -4*d**2 - 5*d + 1. Let u(q) = 55*q**2 + 4*q + 0*q - 52*q**2. Suppose 0 = 3*g + 5 - 14. What is g*u(y) + 2*a(y)?
y**2 + 2*y + 2
Let f(v) = -2 + 605*v**2 - v - 597*v**2 - 3. Let r(n) = -9*n**2 + n + 6. Calculate 6*f(p) + 5*r(p).
3*p**2 - p
Let a(t) = -1. Let o(u) = -u + 7. Suppose 10*q + 7 = 3*q. What is q*o(l) - 6*a(l)?
l - 1
Let z(c) = -c**2. Let o(y) = -5*y**3 + 5*y**2. Give -o(j) - 5*z(j).
5*j**3
Let n(m) = -m + 1. Suppose 0 = -4*h - x - 44, 0*h + 4 = -h - 2*x. Let a be (-6)/(-4)*h/(-18). Let k(u) = 2*u - 3. Determine a*k(g) + 3*n(g).
-g
Suppose 0 = -u - 4 - 1. Let n(d) = 2*d - 3. Let v(r) be the first derivative of 1/2*r**2 - r + 1. Determine u*v(j) + 2*n(j).
-j - 1
Let x(f) = -9*f**3 + 4*f**2. Let n(z) = -17*z**3 + 7*z**2. Let p = -74 - -70. Determine p*n(r) + 7*x(r).
5*r**3
Let x(t) = 10*t**2 + 2*t + 14. Suppose -4*v + 5*d + 2 = 3*d, 3*v = -5*d + 8. Let p(m) = -6*m**2 + 0*m + 5*m**2 + 0*m - v. Determine 12*p(h) + x(h).
-2*h**2 + 2*h + 2
Let j be 2/(-1*2/(-1)). Let w(d) be the first derivative of -3*d**2 - 6*d - 2 - j + 5. Let u(i) = -5*i - 5. What is -5*u(x) + 4*w(x)?
x + 1
Let w(x) = -x**2 + 6*x + 2. Let m be w(6). Let z = -8 - -14. | {
"pile_set_name": "DM Mathematics"
} |
- 3807.214. Round i to the nearest ten.
-3820
Let r = -69.10441 - 0.07559. Round r to the nearest integer.
-69
Let z = -28395.0019 - -28393. Let n = -0.4 + 2.4. Let h = z + n. What is h rounded to two decimal places?
0
Let m = -339.396 + 340. Let o = m + -0.127. What is o rounded to 2 decimal places?
0.48
Let m = -34086.9999920294 - -34087. What is m rounded to six dps?
0.000008
Let b(z) be the third derivative of -z**5/15 + z**4/4 - z**3/2 - 5*z**2. Let o(a) = 5*a - 77. Let f be o(16). Let v be b(f). Round v to the nearest ten.
-20
Let j = 0.02753 - 0.0275273208. Round j to seven decimal places.
0.0000027
Let b = -0.457 + -0.237. Let x = b + 0.69069. Round x to three dps.
-0.003
Let b = 0.3 - -4.2. Let k = b + -5.192. Round k to one decimal place.
-0.7
Let k = 220.0072 - 0.0072. Let v = 219.903 - k. Let j = 0.917 + v. Round j to one dp.
0.8
Let d = -858.06 + 861. Let v = 2.6602 - d. Round v to 2 decimal places.
-0.28
Let t = 40.5 - 215.7. Let l = -175.0911 - t. What is l rounded to 2 decimal places?
0.11
Let t = 16553 - 16486.005. Let p = 0.005 + t. Let s = -67.00000019 + p. What is s rounded to seven decimal places?
-0.0000002
Let n = 15793.23778 - 15793. What is n rounded to 3 decimal places?
0.238
Let y(p) = -p**2 - 6*p + 16. Let v be y(6). Let o = v + 56. Suppose -9*t = -o*t - 8100000. What is t rounded to the nearest one million?
1000000
Let o be (-24)/((-39)/(-6) - 5). Let u be o*7/(-28) - (1 - -2). Let f be 1 + 793 + u + -5. What is f rounded to the nearest one hundred?
800
Let r = -1128.03189 - -1128. What is r rounded to two decimal places?
-0.03
Let d(x) = 20*x**3 - 12*x**2 - 20*x - 5. Let l be d(14). Let g = l - 25243. What is g rounded to the nearest ten thousand?
30000
Let r = -9404.867 - -9409. What is r rounded to 1 dp?
4.1
Let l = 4684.7186 + -4684. Let v = l - 7.8326. What is v rounded to the nearest integer?
-7
Let k = -102 + 101.9088. Let q = 2571 + -2571.09. Let w = k - q. Round w to three decimal places.
-0.001
Let k = -3209.997571 - -3210. Round k to two decimal places.
0
Let u = 1377.1 - 1427.274. Round u to the nearest ten.
-50
Let p = -25.566 + 10.627. Let z = -0.249 - p. Round z to 0 dps.
15
Let b = -873889552 + 873889660.9000477. Let t = -108.9 + b. What is t rounded to 6 decimal places?
0.000048
Let q = -1.11 - -964.11. Let b = q - 914.7. What is b rounded to the nearest ten?
50
Let f = 6.2 - 3.2. Let r = -25 - f. Let n = r + 37.1. What is n rounded to zero decimal places?
9
Let t = -0.138 - -0.1232. Let s = t + 28.3148. What is s rounded to the nearest ten?
30
Let r = 278.5 - 278.9. Let k = 6149372 + -6149372.4000001. Let n = r - k. What is n rounded to 6 decimal places?
0
Let s be (-5)/20*1 + (-28704008)/(-32). Round s to the nearest 10000.
900000
Let x = -0.481 - 220.519. Let f = x + 221.00000023. What is f rounded to 7 dps?
0.0000002
Let o(w) = 2*w**2 + 12*w - 3. Let a be o(-6). Let x be -6*1*a/(-2)*9. Let j be 33857982/x + (-4)/18. Round j to the nearest 10000.
-420000
Let x = -45082 - -45087.49999. Let h = 5.5 - x. Let y = h - 0. Round y to four dps.
0
Suppose 12*x - 468 = -6*x. Suppose x*a = -81092294 + 245672294. Round a to the nearest 1000000.
6000000
Let o = 405129.00402205 + -405120.384. Let q = 8.62 - o. What is q rounded to six decimal places?
-0.000022
Let a = -0.0429121852 - -929.0395561852. Let q = -929 + a. Round q to four decimal places.
-0.0034
Suppose -4*d - 34 = -2*i, -i + 0*d - d + 5 = 0. Suppose -11*c + i*c = -6800000. Round c to the nearest 1000000.
3000000
Let g = -484204.93463 - -484993.93463189. Let f = g + -789. Round f to 7 decimal places.
0.0000019
Suppose -39*y + 155880 = 1291585 + 336935. Round y to the nearest ten thousand.
-40000
Let k = 13 - 3.5. Let r = -7813 + 7776. Let n = k + r. Round n to the nearest integer.
-28
Suppose 46*n - 266 = 53*n. Let o(x) = 797633*x + 54. Let g be o(n). Round g to the nearest one million.
-30000000
Suppose 0 = -3*j + 6*j + 3*l - 105, -3*j + 130 = -2*l. Suppose j = -3*y + 64. Let s be 0 + -121003 - (5 - y). Round s to the nearest 10000.
-120000
Let s(l) = 2*l + 2. Let f be 26/(-12) + 2/12. Let b be s(f). Let x be (-9239994)/(-24) - b/8. What is x rounded to the nearest 10000?
390000
Let u = 88 + 46. Let q = u - 133.99696. What is q rounded to 4 dps?
0.003
Let j = 245181 - 244706.953. Let l = 474 - j. Round l to three decimal places.
-0.047
Let j = -10522 + 10521.990226. What is j rounded to 3 dps?
-0.01
Let o = 490116625352.000295 - 490094960707. Let x = -21664509 + o. Let s = -136 + x. What is s rounded to five decimal places?
0.0003
Let k = 4495.5719 + -4495. Let r = -0.0629 + k. What is r rounded to two decimal places?
0.51
Let m = 99518.9999873643 - 99519. What is m rounded to seven dps?
-0.0000126
Suppose 65*s = -30*s + s - 687328000. Round s to the nearest 100000.
-7300000
Let o = 8371.49 + -8254. Let q = o + -107.3. Round q to zero decimal places.
10
Let h(n) = n**3 - n**2 + 177000. Let b = 155 + -93. Let q = b - 62. Let k be h(q). What is k rounded to the nearest 10000?
180000
Suppose -2 = -d + y, 3*d + 5*y - 18 = 2*y. Suppose -2*g = -0*b - b - 1399, g - 704 = -d*b. What is g rounded to the nearest 100?
700
Let u = -5054.000007302 + 5054. What is u rounded to 7 decimal places?
-0.0000073
Let o = -143982 + 143983.19053. Let c = o - 1.182. What is c rounded to 3 decimal places?
0.009
Let c = -215 + 234.2. Let r = c - 19. Let v = r - 0.199. Round v to 2 dps.
0
Let s = -444758.55 + 445375.54507. Let x = s - 617. Round x to three dps.
-0.005
Let f = 168.824 + 0.176. Let y = -125565468.000274 + 125565637. Let h = y - f. Round h to 4 decimal places.
-0.0003
Let c(k) = -248*k + 330. Let x be c(-13). Suppose 3148 + x = 6*m. Round m to the nearest ten.
1120
Let h = -715811260097.95912694 - -715811252346. Let t = h - -7659.959128. Let m = -92 - t. What is m rounded to 7 dps?
-0.0000011
Let c = 163 + 31. Let a = c + -193.606. Round a to one dp.
0.4
Let g = 607.2 + 4991.8. Let f = g + -4920.2. Round f to the nearest one hundred.
700
Let n = -2.92 - -21.32. Let o = -18.409 + n. What is o rounded to three dps?
-0.009
Let r = -51001977.02999939 - -51001978. Let u = r - 0.97. What is u rounded to seven decimal places?
0.0000006
Let c = -3.772 + 3.77197897. Round c to 5 dps.
-0.00002
Let p(j) = -10354*j**2 - 61*j + 310. Let l be p(6). Round l to the nearest 10000.
-370000
Let a = 27.049999297 + -27.05. Round a to 7 dps.
-0.0000007
Let j be (-1)/(-2)*-1*4368/(-26). Let l be (2 + j/8)/(10/(-17120)). What is l rounded to the nearest one thousand?
-21000
Let a(m) = 3869*m + 52. Let q be ((-1)/(-3) - 24/18)*25. Let b = 17 + q. Let p be a(b). Round p to the nearest 1000.
-31000
Let m = 1396109600 - 1396118816.94767. Let s = m - -9217. What is s rounded to 2 decimal places?
0.05
Let v = 0.355 - 0.72. Let m = 0.2313 + v. Let f = -0.0884 - m. What is f rounded to three decimal places?
0.045
Let y = 36.28 + -36.275162. Let u = -0.0053 + y. What is u rounded to 4 decimal places?
-0.0005
Let n = -13 - -18. Suppose 0 = 3*o - 495588 - 428457. Suppose o = -4*q + z - 4*z, -n*z = 25. What is q rounded to the nearest 10000?
-80000
Let d = -281.2 + 262.3. Let t = 0.08 + -34.28. Let o = d - t. What is o rounded to the nearest integer?
15
Let m = -4157.35 + -1000.55. What is m rounded to the nearest 10?
-5160
Let l = -42750322991 + 42750323356.20004274. Let h = 365.2 - l. What is h rounded to six decimal places?
-0.000043
Let l = 0.0162 + -490.0162. Let x = 471.88 + l. What is x rounded to the nearest integer?
-18
Suppose 3*g = -2*x + 560743, -16*g + 12*g = -4. What is x rounded to the nearest 10000?
280000
Let m = -85748.3 - -90385. What is m rounded to the nearest 100?
4600
Let k = -1710.702 + 1714. Let q = k + -3.33406. Round q to two dps.
-0.04
Suppose 6*q = 34768533 + 15662745. Let t = -7794787 - q. What is t rounded to the nearest 1000000?
-16000000
Let n = 586 - 368.3. Let p = -244 + n. What is p rounded to zero dps?
-26
Let q = 22.54 + -22.519475. Round q to four decimal places.
0.0205
Let w be (-19)/(-8) + 3/(-8). Let n be (-585)/1 + w*2. Round n to the nearest 100.
-600
Let t = 1404.5338 + 27.1962. What is t rounded to the nearest ten?
1430
Let b(j) = -3991*j + 90. Suppose -54*r = -53*r + 10. Let x be b(r). Round x to the nearest 1000000.
0
Let k = 0.194 + 90.806. L | {
"pile_set_name": "DM Mathematics"
} |
ive o(p(z)).
4*z**2
Let q be (-1 + -2)*(-2 - 0). Suppose q*x - x - 15 = 0. Let s(c) = 5*c - x*c + 6*c + 2*c. Let b(g) = -2*g. Calculate s(b(f)).
-20*f
Let q(g) = 0*g + 0*g - 3*g**2 + 5*g**2. Let c(t) be the third derivative of -5*t**4/6 + 16*t**2. What is c(q(n))?
-40*n**2
Let z(w) = w**2 - 235*w. Let l(c) = 19*c - 8. What is z(l(b))?
361*b**2 - 4769*b + 1944
Let q(c) = -7*c**2. Let m(i) = -48819*i**2. Calculate q(m(b)).
-16683063327*b**4
Let r(l) = -55*l. Let j(z) = -6070*z. Determine j(r(p)).
333850*p
Let x = -30 + 32. Let m(d) = 2*d + x*d - d. Let y(c) = -7*c. What is m(y(b))?
-21*b
Let l(m) = m. Let w(t) = -3*t + 7795. What is l(w(p))?
-3*p + 7795
Let r(l) = -6*l. Let p(u) be the second derivative of 2*u**3/3 - u - 36. Give r(p(v)).
-24*v
Let h(r) = -19*r. Let f = 1189/12 + -99. Let j(y) be the second derivative of 0 + 0*y**3 + 0*y**2 + 12*y + f*y**4. Calculate h(j(m)).
-19*m**2
Let g(s) = s. Let a(k) be the first derivative of -4/3*k**3 + 0*k**2 + 0*k - 13. Calculate a(g(o)).
-4*o**2
Let a(s) = 3*s. Let x(o) = -57*o**2 + 3*o - 8. Determine a(x(l)).
-171*l**2 + 9*l - 24
Let q(r) be the first derivative of -r**3 - 37*r**2 + 13 + 37*r**2 - 2. Let c(x) = 2*x**2 + x**2 - 2*x**2. Give c(q(z)).
9*z**4
Let b(t) = 3*t - 11. Let j(z) = -85*z**2 - 98*z**2 + 184*z**2. Determine b(j(c)).
3*c**2 - 11
Let l(g) = g**2 - 3*g**2 - 1040*g - 1031*g + 2071*g - 45. Let c(w) = 6*w. What is c(l(n))?
-12*n**2 - 270
Let x(k) = 3*k**2. Let u(z) = 670572*z. Determine u(x(m)).
2011716*m**2
Let s(d) = -36*d**2 - 28*d. Let o(a) = 36*a**2 + 24*a. Let u(z) = 7*o(z) + 6*s(z). Let v(f) = -4*f. Give u(v(y)).
576*y**2
Suppose 5*u = 19 - 24, -3*g = 4*u + 1. Let o be (-1)/4 - 178/(-8). Let w(q) = -o*q + 25*q - g + 1. Let c(i) = -5*i**2. Calculate c(w(h)).
-45*h**2
Let n(q) = -5*q**2. Let z(p) = 3285*p**2. What is z(n(j))?
82125*j**4
Let g be (8 - (0 - -3)) + -3. Let d(n) = 0*n - 5*n + n + g*n. Let x(j) be the first derivative of 2*j**3/3 - 1. Give x(d(t)).
8*t**2
Let n(g) be the third derivative of -1/6*g**4 + 0 - 23*g**2 + 0*g**3 + 0*g. Let z(r) = -r**2. Let o(b) = -b**2. Let d(q) = 3*o(q) - 4*z(q). Determine n(d(a)).
-4*a**2
Let x(t) = -676*t**2 + 1. Let n(u) = 99*u. Calculate x(n(s)).
-6625476*s**2 + 1
Let s(g) = -4*g - 24. Let t be s(-13). Let l(u) = -t*u + 61*u - 37*u. Let o(p) = 2*p. Let f(h) = h**2 + 5*h. Let v(x) = -2*f(x) + 5*o(x). Give l(v(y)).
8*y**2
Let c(k) = -2*k. Let b(g) = 1111*g**2 - 13*g - 26. Let n(p) = -556*p**2 + 6*p + 12. Let v(m) = -6*b(m) - 13*n(m). Determine c(v(l)).
-1124*l**2
Let k(p) = 186*p**2 + 11. Let v(s) = -200*s. Give v(k(h)).
-37200*h**2 - 2200
Let i(q) be the second derivative of q**4/6 - q. Let p(c) = 35 + 5*c - 4*c - 35. Let x(h) = -6*h. Let d(w) = -5*p(w) - x(w). Calculate d(i(o)).
2*o**2
Let b(d) = -7*d. Let w(z) = -24 + 24 - 2*z - 11*z. Give w(b(o)).
91*o
Let l(r) = -17*r. Let z(p) = -27*p**2 - 45*p. What is l(z(q))?
459*q**2 + 765*q
Let t(s) = -227449*s. Let f(z) = -2*z**2. Calculate f(t(x)).
-103466095202*x**2
Let o(l) = -13*l**2. Let s(b) be the first derivative of -3*b**2/2 - 7*b - 74. Give o(s(p)).
-117*p**2 - 546*p - 637
Let n(c) = c. Let j(d) be the first derivative of 3*d**3 + 0*d**2 - 1/30*d**5 + 0*d + 0*d**4 + 7. Let o(m) be the third derivative of j(m). Give o(n(q)).
-4*q
Let o be 65 + -65 - (0 - (0 + 5)). Let z(r) be the first derivative of o + 1/3*r**3 + 0*r + 0*r**2. Let f(i) = 12*i. Give z(f(h)).
144*h**2
Let l(g) = -3666*g + 14. Let q(u) = u. What is l(q(c))?
-3666*c + 14
Let w(t) = 35809*t - 35851*t - 2 + 2. Let y(g) be the third derivative of g**5/60 - g**2. Determine w(y(a)).
-42*a**2
Let t(h) = -169413*h**2. Let i(g) = 3*g**2. What is t(i(a))?
-1524717*a**4
Let v(p) be the second derivative of 5*p**4/4 - 749*p. Let l(z) = z - 2. Let q(g) = 2*g - 3. Let a(n) = -3*l(n) + 2*q(n). Determine v(a(o)).
15*o**2
Let h(n) = -33*n. Let j(k) = -7005*k. What is j(h(r))?
231165*r
Let h(j) = -j**2 - 10*j + 5. Let n(r) = 12*r - 6. Let c(u) = -6*h(u) - 5*n(u). Let s(k) be the first derivative of 5*k**2/2 + 1. Give c(s(p)).
150*p**2
Let b(m) = -4*m + 4*m - 12*m**2. Let h be (-2)/(-9) + 224/126. Let s(q) = -6*q**2 + 6*q**h + q**2 + q**2. What is s(b(f))?
288*f**4
Let p(f) = -3*f + 0 + 0. Let v(k) be the second derivative of -5*k**4/12 - 732*k. What is p(v(x))?
15*x**2
Let m(c) be the third derivative of 0*c**3 + 0*c + 5/24*c**4 + 0 - 6*c**2. Let k(w) = -5*w + 10*w - 6*w. What is k(m(l))?
-5*l
Let k(z) = -3130*z. Let p(u) = -32*u. What is k(p(y))?
100160*y
Let v(f) = -343*f. Let i(j) = -24*j**2. Give i(v(g)).
-2823576*g**2
Let q(f) = -16*f**2. Let v(u) = u**2 - 2*u. Let j(b) = 6*b**2 - 10*b. Let r be (-19 + 21)*(-10)/(-1). Let p(c) = r*v(c) - 4*j(c). Give q(p(x)).
-256*x**4
Let n(m) = -2*m**2. Let a(p) be the third derivative of -p**4/24 - p**3 + 216*p**2. Determine n(a(g)).
-2*g**2 - 24*g - 72
Let l(t) be the third derivative of -t**4/24 + 25*t**2. Let w(o) be the second derivative of -7*o**3/6 - o. Give l(w(r)).
7*r
Let t(y) be the third derivative of -y**6/60 + 2*y**2. Let s be t(-1). Let j(w) = 3*w**2 - 5*w**s + 2*w**2 + w**2. Let p(h) = -6*h**2. What is p(j(d))?
-6*d**4
Let y(m) = 29 - 50 + 6*m**2 + 21. Let o(n) be the first derivative of 3*n**2/2 + 1. Calculate o(y(a)).
18*a**2
Let g(p) = 2*p - 7. Let j(m) = -44*m + 65. Calculate j(g(f)).
-88*f + 373
Let s(c) be the first derivative of 26*c**3 - 19 + 15*c**3 - 40*c**3. Let w(k) = 29*k. Calculate w(s(f)).
87*f**2
Let o = -57 + 72. Let u(q) = q - o + 19*q + 15. Let b(z) = z. What is u(b(w))?
20*w
Let j(h) = -h - 9. Let l be j(-11). Let g(x) = 18*x**l + 58*x - 58*x. Let u(d) = 2*d**2. Calculate g(u(k)).
72*k**4
Suppose 5*x = -3*p + 21, -5*x = -0*x - 15. Let v be (-16)/(-10) + (-8)/(-20). Let i(l) = p*l**v - 188*l + 188*l. Let n(o) = 4*o**2. Give n(i(j)).
16*j**4
Let t(b) = b + 61. Let q(n) = 66*n**2. Give t(q(l)).
66*l**2 + 61
Let l(b) = 30165*b. Let d(c) = 34*c**2. Calculate d(l(j)).
30937525650*j**2
Let g(z) = z - 4. Let m(p) = 1. Let h(w) = g(w) + 4*m(w). Let c(x) = 45*x. Let i(k) = k**2 - k. Let b(t) = c(t) + 45*i(t). Calculate b(h(v)).
45*v**2
Let f(p) = -14*p - 3. Let z(b) = -312*b**2. Give z(f(d)).
-61152*d**2 - 26208*d - 2808
Let i(t) = -174*t + 9. Let r(u) = 29*u**2. Give i(r(j)).
-5046*j**2 + 9
Suppose -118 - 52 = -5*h. Let r(v) = 1 - 1 - h*v + 33*v. Let x(o) = -3*o. Determine r(x(z)).
3*z
Let z(f) = 467*f**2. Let p(h) = -100*h. What is z(p(w))?
4670000*w**2
Let o(r) = -30510*r - 495. Let a(i) = -246*i - 4. Let b(j) = 495*a(j) - 4*o(j). Let v(h) = -2*h**2. Give v(b(d)).
-145800*d**2
Let b(g) = -15*g**2 + 2*g. Let a(i) = -61*i**2 + 9*i. Let k = 19 - 10. Let j(s) = k*b(s) - 2*a(s). Let v(h) = 2*h**2 + 4*h**2 - 5*h**2. Determine j(v(z)).
-13*z**4
Let r(z) be the first derivative of -z**3/3 + 123*z - 331. Let w(t) = -t. Give r(w(f)).
-f**2 + 123
Let j(f) = f. Let o be 1/((-13)/7 + 2). Let m(u) = u + o*u + 3*u + 15*u. Calculate j(m(l)).
26*l
Let h(u) = 0*u - 2*u + 0*u. Let o(s) be the second derivative of -s**3/6 + s**2/2 + 2*s. Let d(n) = 8*n - 9. Let f(k) = 2*d(k) + 18*o(k). Determine f(h(w)).
4*w
Let x(h) be the second derivative of h**4/12 + h - 12. Let f(g) = 106*g**2. Determine f(x(c)).
106*c**4
Let q(h) = -9*h**2 + 12. Let f(i) = -i**2 + 2. Let p(a) = -6*f(a) + q(a). Let k(j) = 1 - 1 - 3*j. What is p(k(v))?
-27*v**2
Let t(c) = 16876*c**2 + 1. Let h(p) = -p**2. Calculate t(h(g)).
16876*g**4 + 1
Suppose -6 = 2*d - 2, 3*t + 4*d = 1. Let u(s) = 0*s + 5*s - t*s + 0*s. Let r(j) = -7*j. Calculate u(r(a)).
-14*a
Let p(k) = -29*k**2 + 27*k**2 + 32*k**2. Let x(z) = 3*z**2. What is p(x(a))?
270*a**4
Let j(s) = -2728*s + 2728*s - 11*s**2 - 79*s**2. Let a(p) = -3*p. Give j(a(r)).
-810*r**2
Let q(d) = -4*d. Let w(x) = -14 + 8*x + 8*x + 12*x - 33*x + 6*x. Give q(w(c)).
-4*c + 56
Let c be (-6)/21 - 32/(-14). Let k(i) = -2*i**2 + 3*i**2 - 2*i**c. Let g(p) = 0*p**2 - p**2 + 0*p**2 + 5*p**2. What is k(g(z))?
-16*z**4
Let q = -2/191 + 239/4584. Let s(w) be the third derivative of -w**2 + 0*w**3 + 0*w + q*w**4 + 0. Let z(f) = f. Give s(z(l)).
l
Let r(g) = -7*g**2. Let t(z) = -4*z**2. Let d(l) = 6*r(l) - 10*t(l). Let o(m) be the first derivative of 3*m**2/2 + 76. Give d(o(i)).
-18*i**2
Let u(y) = -2*y**2 - 19. Let t(m) = 225*m - 3. What is u(t(c))?
-101250*c**2 + 2700*c - 37
Let b(j) = -6 | {
"pile_set_name": "DM Mathematics"
} |
o base 4
-101
What is 2 (base 14) in base 12?
2
Convert 232 (base 6) to base 2.
1011100
Convert 41 (base 10) to base 14.
2d
What is -3 (base 14) in base 5?
-3
Convert 0 (base 6) to base 16.
0
What is -3 (base 6) in base 3?
-10
Convert -10 (base 16) to base 11.
-15
Convert 5 (base 15) to base 3.
12
121 (base 4) to base 13
1c
1 (base 15) to base 12
1
-16 (base 12) to base 13
-15
Convert 6 (base 15) to base 5.
11
Convert 5 (base 8) to base 14.
5
What is 16 (base 14) in base 8?
24
What is -32 (base 9) in base 14?
-21
10 (base 9) to base 7
12
Convert -2 (base 13) to base 4.
-2
Convert 36 (base 7) to base 11.
25
What is 1 (base 16) in base 15?
1
Convert 2 (base 11) to base 14.
2
Convert 10 (base 4) to base 9.
4
Convert -13 (base 6) to base 2.
-1001
What is -112 (base 10) in base 3?
-11011
What is 10 (base 11) in base 8?
13
What is -3220 (base 4) in base 5?
-1412
What is 1a4 (base 12) in base 16?
10c
Convert 37 (base 13) to base 5.
141
Convert d9 (base 14) to base 12.
13b
9 (base 12) to base 15
9
4 (base 8) to base 14
4
Convert 36 (base 12) to base 6.
110
What is 11 (base 7) in base 5?
13
Convert 5 (base 9) to base 3.
12
What is -26 (base 12) in base 3?
-1010
Convert -1021 (base 3) to base 10.
-34
-8 (base 16) to base 8
-10
What is -312 (base 6) in base 10?
-116
Convert 16c (base 14) to base 10.
292
What is -c (base 16) in base 2?
-1100
What is -5 (base 9) in base 13?
-5
201 (base 4) to base 13
27
What is -74 (base 14) in base 3?
-10210
What is 32 (base 4) in base 12?
12
23 (base 15) to base 4
201
What is 3 (base 4) in base 8?
3
What is 78 (base 13) in base 5?
344
Convert -3 (base 15) to base 4.
-3
1 (base 10) to base 15
1
Convert -3 (base 15) to base 10.
-3
What is -10011 (base 2) in base 10?
-19
What is -1122 (base 3) in base 8?
-54
What is -421 (base 5) in base 10?
-111
Convert 15 (base 16) to base 9.
23
What is b (base 15) in base 8?
13
Convert 9 (base 10) to base 12.
9
Convert -72 (base 15) to base 13.
-83
5 (base 14) to base 2
101
What is -1 (base 9) in base 5?
-1
-105 (base 9) to base 8
-126
Convert 0 (base 4) to base 7.
0
What is b (base 13) in base 12?
b
-120 (base 9) to base 4
-1203
Convert 11 (base 9) to base 5.
20
8 (base 10) to base 14
8
-3 (base 8) to base 15
-3
What is 102 (base 4) in base 14?
14
-28 (base 10) to base 7
-40
-1052 (base 6) to base 12
-188
102 (base 5) to base 10
27
23 (base 7) to base 11
16
151 (base 7) to base 12
71
What is 6 (base 12) in base 2?
110
-4 (base 16) to base 9
-4
Convert 1232 (base 4) to base 6.
302
-77 (base 16) to base 13
-92
What is 0 (base 16) in base 14?
0
Convert 24 (base 5) to base 7.
20
Convert 11 (base 2) to base 14.
3
What is -2 (base 3) in base 2?
-10
What is -140 (base 5) in base 3?
-1200
What is 7 (base 15) in base 12?
7
What is 403 (base 9) in base 14?
195
-1210 (base 3) to base 10
-48
What is -a (base 11) in base 15?
-a
Convert -31 (base 4) to base 14.
-d
30 (base 8) to base 16
18
Convert -120 (base 6) to base 9.
-53
Convert -dd (base 16) to base 8.
-335
-50 (base 8) to base 16
-28
What is 9 (base 10) in base 16?
9
What is -1 (base 14) in base 11?
-1
Convert 1001 (base 2) to base 6.
13
Convert -1010 (base 2) to base 4.
-22
Convert 140 (base 13) to base 14.
11b
Convert -2d (base 14) to base 16.
-29
What is 122 (base 6) in base 15?
35
Convert 120 (base 3) to base 8.
17
-5 (base 14) to base 3
-12
6 (base 14) to base 4
12
What is 3 (base 5) in base 7?
3
-7 (base 13) to base 12
-7
-10 (base 7) to base 9
-7
Convert 1001 (base 2) to base 7.
12
What is -2 (base 3) in base 16?
-2
3 (base 6) to base 14
3
Convert -9 (base 11) to base 2.
-1001
Convert 10 (base 2) to base 16.
2
What is 1 (base 14) in base 4?
1
Convert -13 (base 7) to base 4.
-22
-12 (base 16) to base 14
-14
-18 (base 9) to base 5
-32
What is -3 (base 6) in base 13?
-3
Convert -54 (base 6) to base 2.
-100010
Convert -1 (base 16) to base 2.
-1
What is 0 (base 15) in base 11?
0
Convert -38 (base 13) to base 8.
-57
What is 31 (base 9) in base 2?
11100
Convert -100100010 (base 2) to base 10.
-290
Convert -41 (base 15) to base 12.
-51
What is -1a (base 15) in base 7?
-34
What is -12 (base 6) in base 11?
-8
What is -35 (base 11) in base 14?
-2a
23 (base 11) to base 5
100
Convert -3000 (base 4) to base 9.
-233
What is 10 (base 3) in base 13?
3
-1 (base 16) to base 12
-1
-1211 (base 3) to base 4
-301
Convert 19a (base 11) to base 8.
346
Convert 33 (base 7) to base 10.
24
What is -3 (base 4) in base 9?
-3
What is 142 (base 7) in base 6?
211
What is -254 (base 8) in base 3?
-20101
-5 (base 6) to base 14
-5
-9 (base 14) to base 12
-9
-10 (base 9) to base 2
-1001
-13 (base 4) to base 13
-7
Convert -17 (base 10) to base 8.
-21
-55 (base 12) to base 15
-45
a (base 15) to base 10
10
Convert -2 (base 3) to base 14.
-2
-9 (base 10) to base 11
-9
What is 10101 (base 2) in base 15?
16
Convert -12 (base 9) to base 5.
-21
Convert -21 (base 7) to base 13.
-12
Convert -3 (base 4) to base 8.
-3
What is -15 (base 14) in base 3?
-201
Convert -10 (base 9) to base 13.
-9
16 (base 9) to base 7
21
What is -1 (base 2) in base 13?
-1
What is -b (base 16) in base 14?
-b
-1000 (base 3) to base 15
-1c
Convert -f (base 16) to base 10.
-15
What is -97 (base 14) in base 10?
-133
What is 5 (base 14) in base 10?
5
1 (base 5) to base 14
1
What is -1 (base 8) in base 3?
-1
Convert 0 (base 15) to base 5.
0
-22 (base 8) to base 12
-16
Convert -25 (base 9) to base 2.
-10111
What is 4 (base 9) in base 7?
4
What is 1112 (base 6) in base 2?
100000100
What is 4 (base 16) in base 10?
4
-73 (base 12) to base 14
-63
5 (base 16) to base 14
5
-5 (base 6) to base 10
-5
What is 88 (base 10) in base 14?
64
Convert 26 (base 10) to base 11.
24
What is -4 (base 15) in base 3?
-11
Convert 11 (base 2) to base 9.
3
Convert 0 (base 4) to base 7.
0
What is 1a (base 13) in base 3?
212
110000 (base 2) to base 14
36
What is -e (base 16) in base 5?
-24
Convert -10 (base 5) to base 11.
-5
Convert 1 (base 4) to base 3.
1
What is -aa (base 11) in base 14?
-88
What is -111000 (base 2) in base 3?
-2002
What is -8 (base 9) in base 16?
-8
29 (base 13) to base 16
23
Convert 0 (base 3) to base 10.
0
-27 (base 13) to base 16
-21
What is 24 (base 5) in base 16?
e
Convert -4 (base 16) to base 12.
-4
What is 23 (base 8) in base 16?
13
4 (base 10) to base 14
4
-11 (base 2) to base 13
-3
What is 1 (base 14) in base 12?
1
62 (base 8) to base 13
3b
Convert -71 (base 10) to base 8.
-107
Convert 3 (base 16) to base 13.
3
-211 (base 4) to base 16
-25
What is bb (base 12) in base 9?
168
11 (base 5) to base 13
6
1 (base 9) to base 5
1
Convert -12 (base 5) to base 8.
-7
-11 (base 9) to base 13
-a
Convert -104 (base 5) to base 10.
-29
0 (base 7) to base 13
0
-1 (base 16) to base 5
-1
What is -36 (base 8) in base 13?
-24
-1 (base 2) to base 4
-1
Convert -1010011 (base 2) to base 5.
-313
-1 (base 15) to base 5
-1
Convert -1010 (base 2) to base 12.
-a
-101211 (base 3) to base 4
-10210
What is 1 (base 11) in base 16?
1
What is -a6 (base 11) in base 2?
-1110100
-10 (base 15) to base 10
-15
Convert 133 (base 4) to base 2.
11111
Convert 34 (base 10) to base 11.
31
Convert 4 (base 8) to base 15.
4
0 (base 11) to base 5
0
What is -3 (base 13) in base 12?
-3
0 (base 12) to base 5
0
-4 (base 6) to base 3
-11
Convert -10002 (base 3) to base 13.
-65
32 (base 5) to base 3
122
Convert 12 (base 4) to base 16.
6
-102 (base 4) to base 5
-33
Convert -2 (base 5) to base 8.
-2
What is -30 (base 10) in base 12?
-26
What is -137 (base 8) in base 5?
-340
What is -1011 (base 2) in base 3?
-102
Convert 11 (base 3) to base 2.
100
-15 (base 11) to base 12
-14
Convert 114 (base 6) to base 13.
37
-41 (base 9) to base 4
-211
Convert -2 (base 9) to base 5.
-2
Convert -1112 (base 4) to base 6.
-222
Convert -220 (base 6) to base 12.
-70
111101 (base 2) to base 15
41
What is 3 (base 11) in base 10?
3
What is 4 (base 5) in base 3?
11
What is 75 (base 9) in base 8?
104
Convert 0 (base 2) to base 12.
0
What is 129 (base 12) in base 7?
342
Convert 12 (base 3) to base 10.
5
-307 (base 8) to base 11
-171
What is 3 (base 12) in base 2?
11
0 (base 8) to base 3
0
Convert 13 (base 6) to base 4.
21
-38 (base 9) to base 3
-1022
What is 2 (base 7) in base 14?
2
Convert 92 (base 10) to base 4.
1130
What is -12 (base 3) in base 12?
-5
-15 (base 16) to base 13
-18
177 (base | {
"pile_set_name": "DM Mathematics"
} |
dkd when four letters picked without replacement from dggggwggddxdkxgk.
1/910
Calculate prob of sequence kixv when four letters picked without replacement from vuxxvvvxviukxxxxikx.
5/2907
Calculate prob of sequence cnn when three letters picked without replacement from knckknknnkkknnk.
1/91
Calculate prob of sequence xfg when three letters picked without replacement from xxiifzizzgigisi.
2/1365
Four letters picked without replacement from kezeeezzrye. What is prob of sequence yzek?
1/528
Three letters picked without replacement from yylylzllly. What is prob of sequence zly?
1/36
Two letters picked without replacement from {m: 12, t: 7}. What is prob of sequence mt?
14/57
Three letters picked without replacement from {k: 5, z: 15}. Give prob of sequence kzk.
5/114
What is prob of sequence kkg when three letters picked without replacement from {c: 1, k: 4, u: 1, g: 1, h: 5}?
1/110
Calculate prob of sequence ww when two letters picked without replacement from wfwffwwwwwwwww.
55/91
Three letters picked without replacement from {a: 4, v: 8, h: 8}. Give prob of sequence ahv.
32/855
What is prob of sequence vm when two letters picked without replacement from {m: 1, l: 2, v: 2, d: 1, t: 1}?
1/21
Calculate prob of sequence ddp when three letters picked without replacement from {d: 2, r: 2, h: 3, b: 2, p: 6}.
2/455
What is prob of sequence wwkk when four letters picked without replacement from kkwnknwknk?
1/126
Three letters picked without replacement from {k: 8, i: 7, t: 3}. What is prob of sequence kkt?
7/204
Four letters picked without replacement from {q: 1, m: 1, l: 1, r: 1, e: 1}. What is prob of sequence mlre?
1/120
Four letters picked without replacement from oiiitioirauuiriaro. Give prob of sequence oauu.
1/6120
What is prob of sequence lxa when three letters picked without replacement from laaxlaalaalaalalal?
35/2448
What is prob of sequence kzlq when four letters picked without replacement from {z: 3, w: 1, k: 3, r: 1, l: 2, q: 3}?
9/2860
Three letters picked without replacement from {l: 2, c: 2, r: 1, a: 5, w: 4}. Give prob of sequence rww.
1/182
What is prob of sequence qmq when three letters picked without replacement from {q: 10, m: 1, i: 6}?
3/136
Calculate prob of sequence fm when two letters picked without replacement from {f: 1, m: 7}.
1/8
Three letters picked without replacement from {x: 1, l: 1, i: 2, s: 1, e: 1, a: 2}. What is prob of sequence xae?
1/168
Two letters picked without replacement from jcchbhcccw. What is prob of sequence wh?
1/45
Calculate prob of sequence fbzz when four letters picked without replacement from izziibfbbib.
1/990
Two letters picked without replacement from crrcdrrrrcggqdrdz. What is prob of sequence cq?
3/272
What is prob of sequence wz when two letters picked without replacement from eewzweewzewew?
5/78
Three letters picked without replacement from {k: 1, g: 1, v: 5, n: 1, b: 1}. What is prob of sequence vbv?
5/126
Three letters picked without replacement from {v: 4, b: 1, h: 2, q: 1}. Give prob of sequence vhb.
1/42
Calculate prob of sequence fs when two letters picked without replacement from sfpjpssffsn.
6/55
Two letters picked without replacement from uhuhr. What is prob of sequence uu?
1/10
Calculate prob of sequence ttsa when four letters picked without replacement from {x: 6, a: 2, t: 2, b: 1, f: 1, s: 5}.
1/2856
Two letters picked without replacement from clltllltllllll. Give prob of sequence ct.
1/91
Calculate prob of sequence aou when three letters picked without replacement from {h: 2, o: 1, g: 1, a: 3, u: 1, y: 3}.
1/330
Three letters picked without replacement from ouoonavvvivv. Give prob of sequence nua.
1/1320
Four letters picked without replacement from {a: 1, u: 3, k: 2, e: 1, h: 1, p: 5}. What is prob of sequence ueka?
1/2860
Three letters picked without replacement from jjjccj. What is prob of sequence cjj?
1/5
Calculate prob of sequence nnd when three letters picked without replacement from ddddddnnddnd.
9/220
What is prob of sequence ct when two letters picked without replacement from {t: 7, c: 9}?
21/80
Calculate prob of sequence yec when three letters picked without replacement from {c: 4, z: 1, y: 1, e: 2, v: 2, i: 7}.
1/510
Four letters picked without replacement from {e: 8, z: 5}. Give prob of sequence ezzz.
4/143
Two letters picked without replacement from {c: 5, u: 3, e: 5}. Give prob of sequence uc.
5/52
Calculate prob of sequence vx when two letters picked without replacement from dwdbbvxvwvwvbvv.
1/35
Calculate prob of sequence qebp when four letters picked without replacement from {q: 4, b: 8, p: 2, f: 2, i: 1, e: 2}.
4/2907
Calculate prob of sequence iiii when four letters picked without replacement from {i: 9}.
1
Two letters picked without replacement from {o: 6, e: 1, s: 1, l: 3, d: 4}. Give prob of sequence el.
1/70
What is prob of sequence tt when two letters picked without replacement from {t: 8, x: 1, p: 6, b: 1, o: 2}?
28/153
Three letters picked without replacement from {b: 5, j: 11}. Give prob of sequence bjj.
55/336
Calculate prob of sequence mz when two letters picked without replacement from {v: 2, h: 1, m: 1, e: 1, u: 1, z: 1}.
1/42
What is prob of sequence tn when two letters picked without replacement from {t: 3, n: 7, d: 4, x: 5}?
7/114
Three letters picked without replacement from {v: 2, l: 6, n: 1, x: 2}. What is prob of sequence xvx?
2/495
Three letters picked without replacement from {a: 3, f: 3, j: 7, g: 3, x: 1, k: 3}. What is prob of sequence jxg?
7/2280
Two letters picked without replacement from {h: 1, b: 2, i: 1, m: 2, f: 1, c: 2}. Give prob of sequence mi.
1/36
Two letters picked without replacement from {v: 2, f: 3, l: 3}. Give prob of sequence vl.
3/28
Three letters picked without replacement from ksookokioioskss. Give prob of sequence oii.
1/273
What is prob of sequence wbbl when four letters picked without replacement from llbdlbdbbbbdbddwlw?
7/1530
Two letters picked without replacement from lqdjgfq. Give prob of sequence qg.
1/21
Four letters picked without replacement from czezuzzevcoc. What is prob of sequence ezec?
1/495
Calculate prob of sequence pu when two letters picked without replacement from {c: 4, p: 2, x: 1, u: 2, w: 1}.
2/45
Calculate prob of sequence xqt when three letters picked without replacement from {k: 1, q: 1, x: 1, m: 1, g: 1, t: 2}.
1/105
Two letters picked without replacement from flcllfrrrl. What is prob of sequence cl?
2/45
Two letters picked without replacement from {v: 6, c: 6}. Give prob of sequence vv.
5/22
Three letters picked without replacement from tjtjttj. Give prob of sequence ttt.
4/35
What is prob of sequence qpe when three letters picked without replacement from {f: 2, z: 1, p: 1, q: 3, e: 1, h: 12}?
1/2280
Two letters picked without replacement from {s: 2, l: 1, f: 4}. What is prob of sequence sl?
1/21
Two letters picked without replacement from ppoqkbpqpopo. What is prob of sequence bq?
1/66
Four letters picked without replacement from {n: 1, u: 2, t: 4, a: 1, l: 2}. Give prob of sequence lnlt.
1/630
Calculate prob of sequence vw when two letters picked without replacement from {w: 2, v: 1}.
1/3
Two letters picked without replacement from {t: 2, u: 1, o: 2, i: 1}. Give prob of sequence iu.
1/30
Three letters picked without replacement from {r: 3, j: 3, t: 1}. What is prob of sequence trt?
0
Calculate prob of sequence pe when two letters picked without replacement from kekkpkckbkkbbkepkce.
1/57
Three letters picked without replacement from wwnoznoowznwowwow. Give prob of sequence nwo.
7/272
Three letters picked without replacement from {q: 3, z: 3, l: 7, k: 2, o: 1, d: 1}. Give prob of sequence oqz.
3/1360
Three letters picked without replacement from drniirwbn. What is prob of sequence wii?
1/252
What is prob of sequence rvv when three letters picked without replacement from {v: 4, r: 4, u: 3, j: 3}?
2/91
What is prob of sequence hxx when three letters picked without replacement from hhhxhhxxhhxxxhhhhhh?
65/969
Calculate prob of sequence evv when three letters picked without replacement from {i: 4, v: 8, e: 2}.
2/39
Two letters picked without replacement from {c: 4, w: 3, a: 1, g: 2}. Give prob of sequence ag.
1/45
Two letters picked without replacement from {i: 3, d: 5, o: 1, y: 3}. Give pro | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from {l: 12, i: 7}.
28/323
Calculate prob of sequence aq when two letters picked without replacement from {q: 2, y: 1, n: 1, a: 1}.
1/10
Three letters picked without replacement from sccs. What is prob of sequence scc?
1/6
Three letters picked without replacement from cwwwchcjhbyhwyy. What is prob of sequence chj?
3/910
Calculate prob of sequence ps when two letters picked without replacement from {s: 1, d: 1, j: 1, p: 1, f: 3}.
1/42
Four letters picked without replacement from taaat. Give prob of sequence ttaa.
1/10
Calculate prob of sequence eem when three letters picked without replacement from eeesmemmsemmmm.
5/78
What is prob of sequence fmww when four letters picked without replacement from {f: 1, m: 1, w: 2, z: 3}?
1/420
What is prob of sequence ejoy when four letters picked without replacement from {e: 1, j: 1, y: 6, o: 3, t: 8}?
1/5168
Three letters picked without replacement from uubguubuuuuuuubu. Give prob of sequence buu.
33/280
Two letters picked without replacement from {m: 1, g: 5, z: 9, y: 1}. Give prob of sequence mz.
3/80
What is prob of sequence rew when three letters picked without replacement from {e: 6, r: 1, h: 7, w: 2, o: 3}?
2/969
What is prob of sequence nr when two letters picked without replacement from {r: 3, t: 1, n: 4, f: 2, k: 4}?
6/91
Four letters picked without replacement from {s: 2, e: 6, b: 9}. What is prob of sequence ebbe?
9/238
What is prob of sequence szs when three letters picked without replacement from {s: 4, z: 7, o: 4}?
2/65
Three letters picked without replacement from uwlwvuuwlugwalu. What is prob of sequence lva?
1/910
Two letters picked without replacement from {j: 3, q: 2, m: 4, g: 2, h: 2, a: 2}. What is prob of sequence jj?
1/35
What is prob of sequence ggc when three letters picked without replacement from ccccgccgc?
1/36
Two letters picked without replacement from {m: 3, x: 3, i: 1}. Give prob of sequence xi.
1/14
What is prob of sequence csu when three letters picked without replacement from {g: 1, u: 1, c: 2, s: 1}?
1/30
Three letters picked without replacement from {p: 7, z: 12}. Give prob of sequence ppp.
35/969
Two letters picked without replacement from pppppipppippp. What is prob of sequence ip?
11/78
What is prob of sequence mw when two letters picked without replacement from {m: 7, w: 3}?
7/30
Three letters picked without replacement from {u: 1, p: 2, f: 1, h: 1, x: 1, j: 1}. What is prob of sequence jpp?
1/105
What is prob of sequence fm when two letters picked without replacement from {j: 1, f: 6, s: 2, m: 3}?
3/22
What is prob of sequence tmc when three letters picked without replacement from mkoeottcemoccmmmotcm?
1/95
What is prob of sequence ld when two letters picked without replacement from lttddlddldld?
2/11
Calculate prob of sequence vv when two letters picked without replacement from {v: 4, g: 16}.
3/95
Four letters picked without replacement from frhrfrrrffrdrrrrmwrh. What is prob of sequence rfhw?
11/14535
Calculate prob of sequence dhhd when four letters picked without replacement from dddhpdhddppdhq.
3/286
Calculate prob of sequence uu when two letters picked without replacement from uuuu.
1
Calculate prob of sequence gf when two letters picked without replacement from ffffffffgffff.
1/13
What is prob of sequence ll when two letters picked without replacement from {l: 9}?
1
Four letters picked without replacement from cppjujlncnjn. What is prob of sequence jncu?
1/660
Two letters picked without replacement from {n: 6, r: 7, w: 1}. Give prob of sequence wr.
1/26
Three letters picked without replacement from {m: 14, p: 5}. What is prob of sequence mpm?
455/2907
Calculate prob of sequence ie when two letters picked without replacement from {e: 2, i: 2, l: 2}.
2/15
What is prob of sequence wi when two letters picked without replacement from {i: 2, p: 4, d: 2, w: 1}?
1/36
Calculate prob of sequence mmv when three letters picked without replacement from {v: 2, l: 4, d: 1, m: 4, j: 2, p: 2}.
4/455
Three letters picked without replacement from {y: 5, c: 2}. What is prob of sequence ccy?
1/21
Four letters picked without replacement from qkmnkqmsnkknqq. Give prob of sequence kkqk.
4/1001
Two letters picked without replacement from rpdmwhh. What is prob of sequence rm?
1/42
What is prob of sequence rzr when three letters picked without replacement from {f: 1, z: 4, r: 8}?
56/429
Two letters picked without replacement from llfuuf. Give prob of sequence ul.
2/15
Two letters picked without replacement from wwkkkpwpwkkwwkmyk. Give prob of sequence ww.
15/136
Calculate prob of sequence txyt when four letters picked without replacement from {x: 5, y: 4, t: 2}.
1/198
Four letters picked without replacement from ddzzbxxddbdzxdx. Give prob of sequence dxbd.
2/273
What is prob of sequence nnn when three letters picked without replacement from {d: 3, n: 3}?
1/20
Two letters picked without replacement from oqmorirmomrimrmr. Give prob of sequence mm.
1/12
Calculate prob of sequence ns when two letters picked without replacement from {w: 1, s: 1, y: 1, n: 3, g: 1}.
1/14
Three letters picked without replacement from ffhhhh. What is prob of sequence fhf?
1/15
Calculate prob of sequence qqdd when four letters picked without replacement from dddddqddqd.
1/45
What is prob of sequence dtu when three letters picked without replacement from {j: 1, d: 2, u: 1, t: 1}?
1/30
Three letters picked without replacement from ayaayaaayayaaaaayy. Give prob of sequence yay.
5/68
What is prob of sequence ifii when four letters picked without replacement from {f: 5, i: 3}?
1/56
Three letters picked without replacement from {s: 8, x: 5}. What is prob of sequence xss?
70/429
Calculate prob of sequence enep when four letters picked without replacement from {i: 2, k: 1, e: 1, n: 1, p: 9, s: 1}.
0
Calculate prob of sequence th when two letters picked without replacement from zvthuuh.
1/21
What is prob of sequence lklk when four letters picked without replacement from {k: 9, l: 3}?
2/55
Four letters picked without replacement from bcwbtwtbwccbcwt. Give prob of sequence cccw.
4/1365
Three letters picked without replacement from {o: 5, r: 1, e: 4, y: 5, i: 1}. Give prob of sequence eyi.
1/168
Two letters picked without replacement from cccccckeckccec. What is prob of sequence ce?
10/91
Calculate prob of sequence zzzz when four letters picked without replacement from {z: 9}.
1
Two letters picked without replacement from {m: 1, v: 5, p: 1, e: 1, n: 1}. What is prob of sequence vv?
5/18
Calculate prob of sequence lv when two letters picked without replacement from lcvwkvlvkkvwkwvvw.
3/68
Four letters picked without replacement from torio. What is prob of sequence oior?
1/60
Three letters picked without replacement from {m: 1, j: 17}. What is prob of sequence jmm?
0
What is prob of sequence vc when two letters picked without replacement from {c: 3, j: 1, o: 1, b: 4, k: 4, v: 1}?
3/182
Four letters picked without replacement from pzpppppppcnp. Give prob of sequence pppp.
14/55
What is prob of sequence rwbb when four letters picked without replacement from {o: 1, w: 9, b: 2, r: 6}?
1/680
Four letters picked without replacement from {z: 4, y: 7, c: 6}. What is prob of sequence cccz?
1/119
What is prob of sequence ve when two letters picked without replacement from {l: 3, e: 5, v: 1, a: 1, m: 10}?
1/76
Calculate prob of sequence tt when two letters picked without replacement from {v: 4, t: 4, z: 5, w: 2}.
2/35
Calculate prob of sequence kk when two letters picked without replacement from kskkkkkskkkskkkksss.
26/57
Calculate prob of sequence hchr when four letters picked without replacement from {k: 1, r: 6, h: 5, c: 6}.
1/102
Calculate prob of sequence bwbj when four letters picked without replacement from {b: 2, j: 1, d: 1, n: 1, i: 1, w: 1}.
1/420
Two letters picked without replacement from hcxgfgfccggcghpxgcfh. Give prob of sequence fg.
9/190
Calculate prob of sequence ia when two letters picked without replacement from okciookcfokakfc.
1/210
What is prob of sequence bbv when three letters picked without replacement from vtbtbtvtbbb?
4/99
What is prob of sequence mo when two letters picked without replacement from mknovmnor?
1/18
What is prob of sequence lm when two letters picked without replace | {
"pile_set_name": "DM Mathematics"
} |
/2040
Three letters picked without replacement from aaaaaaanaaaanan. Give prob of sequence ann.
12/455
Four letters picked without replacement from jfffjqffkfqkjfjvfj. Give prob of sequence kqvf.
1/2295
Two letters picked without replacement from ubbsmmlllbmmmlms. What is prob of sequence sb?
1/40
What is prob of sequence ny when two letters picked without replacement from yynnnnnnnynnynyvvnyy?
77/380
Calculate prob of sequence aaaa when four letters picked without replacement from abaaeeabeee.
1/330
Two letters picked without replacement from {v: 1, y: 3, w: 4, o: 1, k: 9}. Give prob of sequence ov.
1/306
What is prob of sequence dcs when three letters picked without replacement from {t: 2, s: 1, d: 2, g: 1, f: 1, c: 2}?
1/126
Calculate prob of sequence tp when two letters picked without replacement from xxtptpxptpp.
3/22
What is prob of sequence ciei when four letters picked without replacement from cbeiqqi?
1/420
Calculate prob of sequence ppjj when four letters picked without replacement from pjjjpjjpjj.
1/20
Calculate prob of sequence ogog when four letters picked without replacement from uuuuoggo.
1/420
Three letters picked without replacement from jyypmxy. Give prob of sequence jxj.
0
Calculate prob of sequence cc when two letters picked without replacement from {z: 2, i: 1, c: 2, n: 1}.
1/15
What is prob of sequence bqy when three letters picked without replacement from {b: 1, y: 1, q: 4, m: 3, e: 5}?
1/546
Two letters picked without replacement from {b: 7, f: 1, s: 5, e: 1}. What is prob of sequence sf?
5/182
Two letters picked without replacement from rovvs. What is prob of sequence so?
1/20
What is prob of sequence pfcd when four letters picked without replacement from ttptddddddcddft?
1/4095
Three letters picked without replacement from tttttcctttttt. Give prob of sequence ctc.
1/78
What is prob of sequence jy when two letters picked without replacement from {g: 1, y: 6, j: 1, r: 3, d: 5, b: 1}?
3/136
Two letters picked without replacement from mccmmccmccccmcmccc. What is prob of sequence cm?
4/17
What is prob of sequence fv when two letters picked without replacement from vvviffvvvvvfvvffvf?
11/51
What is prob of sequence xebb when four letters picked without replacement from {e: 2, x: 6, f: 1, b: 2}?
1/330
What is prob of sequence bee when three letters picked without replacement from ebbcecccc?
1/126
What is prob of sequence ghhg when four letters picked without replacement from gghwwgghwgghwggg?
9/910
What is prob of sequence yyy when three letters picked without replacement from yyylyl?
1/5
What is prob of sequence krrr when four letters picked without replacement from {r: 3, k: 1, a: 5}?
1/504
Four letters picked without replacement from lynyynnnnnyntyyy. What is prob of sequence nltn?
1/1040
Three letters picked without replacement from {w: 1, y: 5, r: 2, h: 2, n: 2, l: 2}. Give prob of sequence wly.
5/1092
Three letters picked without replacement from {t: 14, h: 5}. What is prob of sequence htt?
455/2907
Four letters picked without replacement from bpbpdkbkbdbb. What is prob of sequence bkpd?
2/495
Three letters picked without replacement from {m: 1, t: 3, d: 3, i: 4}. What is prob of sequence dii?
2/55
Two letters picked without replacement from {z: 4, q: 3, n: 11}. What is prob of sequence nn?
55/153
Two letters picked without replacement from momojphpjpohhhmm. Give prob of sequence ph.
1/20
What is prob of sequence bfbp when four letters picked without replacement from {b: 6, p: 4, f: 2}?
2/99
What is prob of sequence tow when three letters picked without replacement from {t: 1, o: 1, w: 1}?
1/6
Two letters picked without replacement from {a: 2, z: 3}. Give prob of sequence zz.
3/10
Four letters picked without replacement from {x: 3, r: 4, m: 5, t: 1, c: 1}. What is prob of sequence txcm?
5/8008
Two letters picked without replacement from nuluuun. What is prob of sequence nn?
1/21
Calculate prob of sequence zvz when three letters picked without replacement from zzkyzuznzzzuzvuny.
7/510
What is prob of sequence nnn when three letters picked without replacement from hnnnnhnh?
5/28
What is prob of sequence vu when two letters picked without replacement from uoouuuuuuv?
7/90
Two letters picked without replacement from owiiioiivwiwoiiiiiii. Give prob of sequence iw.
39/380
What is prob of sequence bs when two letters picked without replacement from {s: 15, b: 3}?
5/34
Calculate prob of sequence dnr when three letters picked without replacement from {n: 4, r: 2, d: 5}.
4/99
Two letters picked without replacement from {q: 2, t: 5, l: 11, g: 1}. What is prob of sequence qt?
5/171
Two letters picked without replacement from {e: 2, n: 2, h: 3, k: 3, m: 1, z: 4}. What is prob of sequence zk?
2/35
Four letters picked without replacement from mmmommmfmffo. Give prob of sequence fmoo.
7/1980
Three letters picked without replacement from {y: 3, i: 4, u: 5, j: 4}. Give prob of sequence yij.
1/70
Three letters picked without replacement from iiowomiziiwo. Give prob of sequence imi.
1/66
What is prob of sequence iin when three letters picked without replacement from {n: 4, k: 1, x: 4, i: 4, a: 3}?
1/70
Three letters picked without replacement from mmmmmmmmm. What is prob of sequence mmm?
1
Four letters picked without replacement from {e: 3, y: 4, o: 3, r: 4, h: 5}. What is prob of sequence hhrh?
5/1938
Three letters picked without replacement from {i: 1, s: 1, h: 1, p: 2}. Give prob of sequence php.
1/30
Four letters picked without replacement from {n: 5, m: 1, b: 3}. What is prob of sequence bnbm?
5/504
Two letters picked without replacement from {a: 9, y: 3, r: 1, p: 2, z: 1, j: 2}. Give prob of sequence jz.
1/153
Three letters picked without replacement from ogucjuuocccccou. What is prob of sequence gjo?
1/910
Two letters picked without replacement from {u: 3, r: 5, x: 4, o: 1, d: 1}. Give prob of sequence ro.
5/182
Three letters picked without replacement from {e: 1, v: 2, w: 1, a: 1}. What is prob of sequence ewa?
1/60
What is prob of sequence jn when two letters picked without replacement from jwnbc?
1/20
Two letters picked without replacement from {y: 2, r: 2, f: 3, e: 2}. Give prob of sequence ef.
1/12
What is prob of sequence cnck when four letters picked without replacement from {y: 9, c: 2, k: 2, n: 6}?
1/3876
Calculate prob of sequence ukuu when four letters picked without replacement from mqummuuukuuuumquuqum.
11/1292
What is prob of sequence qr when two letters picked without replacement from brbqrprrbparp?
5/156
Two letters picked without replacement from boboyboobox. Give prob of sequence yb.
2/55
Two letters picked without replacement from sjrweeemewesj. What is prob of sequence jr?
1/78
What is prob of sequence ccj when three letters picked without replacement from {j: 1, o: 2, b: 3, c: 1}?
0
Three letters picked without replacement from ccjcccjj. Give prob of sequence ccj.
5/28
What is prob of sequence faa when three letters picked without replacement from fhahhthfa?
1/126
Three letters picked without replacement from aaafaafpffaaffffffa. Give prob of sequence pff.
5/323
Four letters picked without replacement from {n: 6}. Give prob of sequence nnnn.
1
What is prob of sequence yu when two letters picked without replacement from {u: 1, g: 4, y: 4, r: 1}?
2/45
What is prob of sequence sss when three letters picked without replacement from ssssyyyssyyasssys?
3/17
What is prob of sequence mmo when three letters picked without replacement from {m: 10, e: 2, o: 1, x: 1}?
15/364
Calculate prob of sequence haah when four letters picked without replacement from aahaaaaaaaahaaaaahaa.
4/285
Three letters picked without replacement from dkgkkgqdggkdk. What is prob of sequence dkd?
5/286
Calculate prob of sequence be when two letters picked without replacement from pbeebyeppp.
1/15
Two letters picked without replacement from {r: 11, y: 2}. Give prob of sequence yr.
11/78
Four letters picked without replacement from zcnnznzzzczcnz. What is prob of sequence cncc?
1/1001
Four letters picked without replacement from {m: 6, s: 13}. What is prob of sequence smms?
65/1292
Two letters picked without replacement from {s: 1, h: 1, r: 1, v: 1, l: 2, b: 2}. Give prob of sequence vl.
1/28
What is prob of sequence ggf when three letters pick | {
"pile_set_name": "DM Mathematics"
} |
= -4*p + r, 0 = -5*n + 4*p + 28. Solve 0 = -n*g + 3*g for g.
0
Let z = -33 + 31. Suppose 3*p - 8 = p. Let g = p + z. Solve -3*y + g + 10 = 0 for y.
4
Let d(j) = -12*j + 0*j + 0*j**3 + 2 + 3*j**3 - 2*j**3 + 11*j**2. Let z be d(-12). Suppose 14 = z*g + 4. Solve 0*b = g*b + 10 for b.
-2
Let a be (-6)/(-1 - 2/4). Suppose 0 = p + 1 - a. Suppose -17 = p*z - 53. Solve 3 - z = -3*h for h.
3
Let o(d) = d**2 - 6*d - 3. Let f be o(7). Suppose 4*y + 65 = 5*q, 5*q = y + 4*y + 70. Let h be q/6*8/6. Solve h*a - f = a for a.
4
Suppose -2*j + 5 + 7 = 0. Let c = j + -3. Solve 0*u = -c*u for u.
0
Suppose -2*a + 16 + 39 = p, 5*p = 3*a - 50. Let v be (0 + -3 - -2) + 1. Solve v*l - a = 5*l for l.
-5
Suppose -3*a = 3*f, -f + 0*a + a = -8. Let m = 0 + f. Solve 7*j - m*j = -9 for j.
-3
Let i = -73 + 75. Solve -i*r + 12 = -6*r for r.
-3
Let n(t) = 5*t**2 + t + 1. Let q be n(-1). Let p be 4/(-10) - (-12)/q. Let z be (2 - 2)/(-2) + p. Solve -j + 0 = z for j.
-2
Suppose -b - 4*t + 4 = 0, 5*t - 4 = -3*b + 1. Solve b = 5*o - 2*o + 3 for o.
-1
Let l be (-44)/(-2) - (-2)/1. Let v = l - 8. Solve 0 = o + 3*o - v for o.
4
Suppose 5*u = -t + 2, -t - 2*u + 0*u + 2 = 0. Solve t*q = -q - 9 for q.
-3
Let t be 3*(-6)/9*-2. Suppose -t*p = p - 125. Solve -4*f + p = f for f.
5
Suppose -4 = -0*s - 2*s. Solve 9 = s*q - 1 for q.
5
Let r(f) = f - 3. Let w be r(3). Suppose 0 = -3*s - 3*d - 57, 2*d + 6 = -w. Let n be s/12*(-6)/2. Solve n*q = 6 + 6 for q.
3
Suppose -6 = -19*f + 17*f. Suppose 6*s = x + f*s - 19, 4*x = s + 21. Solve -1 = x*u + 19 for u.
-5
Let q = 0 - -2. Suppose -4 = -o + q*o. Let f be (-46)/o - (-4)/8. Solve -2*b - 2*b = -f for b.
3
Let m be -3*(3 + -2) + 3. Solve m*c + 2*c = -4 for c.
-2
Suppose 2*b + 0*b = 4. Let h = b - -3. Suppose 0 = -p - n - 2*n + 5, 0 = 4*p + 3*n - 11. Solve -p + h = -g for g.
-3
Suppose 54 = 3*i + 3*d, 36 = -4*i - 5*d + 110. Let f(v) = v**3 - 15*v**2 - 16*v + 3. Let p be f(i). Solve 0 = 3*u - 2*u - p for u.
3
Let i be 391/69 + (-1 - 1/(-3)). Solve -i*u + u = -20 for u.
5
Let a = -17 + 25. Suppose a*f - 9*f = 0. Solve f = 2*z - 0*z + 8 for z.
-4
Suppose 0 = -4*u - p + 24, p - 2 = -u + 7. Solve u*c = 37 - 12 for c.
5
Let t = 22 + -2. Let c be 0*(-3 - t/(-8)). Solve 0 = z - c - 2 for z.
2
Let k = 27 - 26. Solve 1 = 2*a - k for a.
1
Suppose -4*w - 14 = -54. Suppose 2*l = -x - w, -23 + 3 = 4*l. Let h be ((0 - 0) + x)/(-2). Solve h*u + 2*u = -6 for u.
-3
Let j = -4 - -7. Suppose 12*m = -8 + 20. Solve -4*i = -j*i + m for i.
-1
Let n(t) = t**2 + t + 5. Let r be n(0). Suppose 0 = d + 4*d - 15. Suppose -4*s - 6 = -7*s. Solve -d*b + s = -r*b for b.
-1
Let p be 6/(-1) - -3 - -3. Let a = p + 1. Solve 9 - a = 2*v for v.
4
Let g = 33 + -23. Suppose -5*d - 20 = -g*d. Let r = d + -4. Solve 2*u + r*u = 4 for u.
2
Suppose 2*j - 2*x + 22 - 56 = 0, 23 = j - 3*x. Suppose -4*b + j - 2 = 0. Suppose -6*r = -4*r. Solve r = -o - 0*o - b for o.
-3
Let b be 4/(-5) - (-1)/(15/27). Solve v + 0*v = b for v.
1
Suppose -2 = 4*r + 6. Let p = 1 - r. Solve -2*i - p = i for i.
-1
Suppose 0*s = -s - 3*x, -x + 6 = s. Suppose s*z = 11*z. Solve z = -6*t + 3*t + 9 for t.
3
Let i be -1 - (-9 + 2)*2. Suppose 3*x = -2*x - 3*f + i, -4*x = 2*f - 10. Solve 0 = -x*k - 3 - 7 for k.
-5
Let k(j) = -3 - 4 + 4 + j - 6. Let w be k(11). Solve w*h = -0*h + 8 for h.
4
Suppose 0 = -2*i + 4*h + 14, 0 = 2*i - i + 4*h + 5. Suppose 0 = -i*f + 5*f - 6. Solve 8 = x - f*x for x.
-4
Let u(c) be the third derivative of c**5/30 - c**4/12 - c**3/3 - c**2. Let r(i) = i + 6. Let t be r(-4). Let d be u(t). Solve 6 = -4*n - d for n.
-2
Suppose -2*y = -3*y + 45. Let z be 9/((y/(-6))/(-5)). Solve -2*m - 20 = -z*m for m.
5
Let y(f) = -f**2 + 9*f + 13. Let s be y(10). Solve -g = s*g - 8 for g.
2
Let d = -2 + 4. Let y = 8 + -12. Let c be (-10)/((-2)/y*-2). Solve c = -4*a + d for a.
-2
Suppose 2*l = -4*j - 12, 21 = -5*l + j - 31. Let q = 16 + l. Solve 2*i - 4*i + q = 0 for i.
3
Let m be -4*(1 + (-9)/6). Let x = m - -2. Suppose -8 - x = -3*k. Solve -3*n = 7 - k for n.
-1
Let p = 66 + -63. Solve p*l - 4 = l for l.
2
Let f be (3 - 4/18) + (-2)/(-9). Solve -2*b - f = b for b.
-1
Let q = 45 + -30. Suppose -3*p + 12 = 2*x + p, -3*x - 5*p + q = 0. Solve x = -2*j - 3*j - 25 for j.
-5
Let s = -12 - -16. Solve s = 5*g + 24 for g.
-4
Suppose -5*c = 3 + 87. Let o = c - -20. Solve -o = -b - 1 for b.
1
Let t = -14 + 10. Let j be (-3)/(-2) + (-10)/t. Solve -8 + 0 = -j*n for n.
2
Let h be ((-8)/20 + 6/15)/1. Solve -5*s + s + 16 = h for s.
4
Suppose 3*u - 5 = -4*n, 3*n - 3*u + 4 = 13. Suppose 11 = -5*l + 26. Solve l*a - n = 1 for a.
1
Suppose 15*r + 1 - 31 = 0. Solve 0 = -3*p - r*p + 25 for p.
5
Let g be 1/3 - 58/(-6). Let k be (8/5)/((-1)/(-15)). Let f be (k/30)/(4/g). Solve 0 = -x - 0 - f for x.
-2
Let d be ((-2)/(-12))/((-3)/(-18)). Let b = d + 11. Suppose -n - n = 2*z - b, -24 = -4*z - n. Solve z = -6*x + 4*x for x.
-3
Let w = 4 - 6. Let m be w - 2/(-3)*3. Solve 3*c - 6 - 6 = m for c.
4
Let y(m) = 2*m**2 - 3*m**3 + 4*m**2 + 4*m**3 + 3*m + 8. Let d be y(-6). Let o be 2/(-10) + (-2)/d. Solve -1 = k - o*k for k.
-1
Suppose 3*l - 9 = 6. Solve l - 9 = 4*m for m.
-1
Let z be (2/(-3))/((-2)/9). Let u be z + 2/6*0. Solve -2*i - 1 = -u for i.
1
Suppose 5*l - 10 = -0*l. Solve -3*n + l = -13 for n.
5
Let x(p) = -p - 9. Let r be x(-12). Suppose 5*u - r*d - 6 = 27, 3*d + 3 = 0. Solve -u*i - 5 = -i for i.
-1
Suppose 2*x + 0 = 4. Solve x*j - 5*j = 9 for j.
-3
Let z(d) = -d**3 + 8*d**2 + 8*d + 3. Let r be z(9). Let a be 2 - 3*r/(-9). Let h be 3/(-1 - -2 - a). Solve h = 2*m - m for m.
3
Suppose 0 = -3*c - c + 16. Solve r = -c*r for r.
0
Let a(k) = -k**2 - 5*k + 4. Let b = 58 + -35. Suppose 0 = 4*i + 3*x + 23, -4*i + 6 = -3*x + b. Let j be a(i). Solve 5*h = h - j for h.
-1
Suppose 0*l - 3*t = -3*l - 6, 2*l + 4*t = 20. Suppose 5*i = -l*m + 1 + 22, -2*m = 2. Solve i*w - 29 + 4 = 0 for w.
5
Let s(f) = f**2 + f - 2. Suppose -4*c - c + 22 = -3*t, 26 = 5*c - 4*t. Let l be s(c). Suppose -11 = -l*g + 5. Solve 15 = a - g*a for a.
-5
Suppose -m - 2*m = 0. Suppose m = -3*f - 2 + 17. Let r(t) = -t**2 - 5*t. Let s be r(-4). Solve s*i = f + 3 for i.
2
Suppose 0 = -3*p - r + 42 + 3, -5*p = 3*r - 71. Let k = p - 16. Solve k*x = x for x.
0
Let y(s) be the third derivative of s**6/120 - 7*s**5/60 + s**4/4 + 2*s**3/3 + 2*s**2. Let d be y(6). Solve d*o + 2 = -6 for o.
-2
Let s(k) = k + 11. Suppose 20 = 5*p, -4*z + p = z + 34. Let q be s(z). Solve -2*j = q + 1 for j.
-3
Let l(b) = b**3 - 6*b**2 + 5*b + 2. Suppose -5 - 3 = 2*y. Let o = y + 9. Let s be l(o). Solve -3*t = s*t + 5 for t.
-1
Let m(u) = 8*u - 63. Let s be m(9). Solve -4 = 11*w - s*w for w.
-2
Suppose -4*m - m = 15. Let f be (-7 + 4)/(m/2). Solve 0*j + j + f = 0 for j.
-2
Let x be 0*((-3)/2 + -12 + 14). Solve x*f = f for f.
0
Suppose 8 = 4*o - i, o - 3*i + 1 = -2*i. Solve -2*a = -o*a + 4 for a.
4
Suppose 2 = 5*c + i - 23, -i = c - 9. Solve c*k - 3*k = 3 for k.
3
Suppose -4*q + 2*l + 10 = 0, 2*q - l + 5*l = 0. Let f(m) = -m**2 + 9 - m + 3 + 0*m**q. Let j be f(0). Solve -x - 3*x - j = 0 for x.
-3
Let q be 1*(-13 - (0 + -1)). Let p(l) = -l**3 + 8*l**2 - 6*l - 10. Let x be p(7). Let a = x - q. Solve -a = -2*b + 1 for b.
5
Let f = -6 - -18. Solve 6*n - 3*n + f = 0 for n.
-4
Let b = 14 - 11. Solve 0 = n + b - 4 for n.
1
Let g be (2/(-14)*20)/(32/(-112)). Solve -6*r - 20 = -g*r for r.
5
Suppose -2*x - 36 = -3*a, 5*x + 12 = a - 13. Let i be 2/a + 48/10. Solve -3*t = -i*t + 10 for t.
5
Let k be 2 + -10*(0 + -1). Suppose 3*x - x = k. Solve 0*o + 2*o + x = 0 for o.
-3
Let j be (0 - -1 - 0) + 2. Let s = -3 + j. Suppose s*h - 8 = -4*h + x, -6 = -3*h - x. Solve 0 = -z + h*z - 4 for z.
4
Let c = -15 + 18. Suppose -n - 4 = -c*n. Let k = -1 - -5. Solve -n*j + 0*j = k for j.
-2
Suppose 2*z + 8 = 0, 0 = 5*y - 4*z + 2*z - 28. Solve -25 = y*o + o for o.
-5
Let j be -2 - -2 - -5 - 3. Let r be 0/2*2/4. Let y = r + 2. Solve j = -y*z + z for z.
-2
Let o = 5 + 9. Let b = o + -7. Solve -b + 2 = p for p.
-5
Let w be (-105)/(-75) + (-3)/(-5). Solve -s - 3 = w*s for s.
-1
Suppose 0*d = -5*d - 20. Let o be 36/21 + d/(-14). Solve -o*m + m - 5 = 0 for m.
-5
Suppose -3*b = 3*j + 6, -2*b + 0*b = j + 7. Let g(u) = -7*u + 3. Let x be g(b). Suppose 0 = -z - 5, -p - x = -2*p + 3*z. Solve 4*a - 3 = -p for a.
-5
Let a be ((-140)/(-42))/(4/6). Solve -7 = -3*j | {
"pile_set_name": "DM Mathematics"
} |
/7)?
9/2
Evaluate 3/(-21)*(0 - 1) - 16830/1386.
-12
What is the value of 1/(-12)*((-13)/(-39) - (-603)/(-27))?
11/6
Calculate (-17 + 1 - -7) + 552/48.
5/2
490/(-38) - (-11)/((-275)/(-325))
2/19
What is (10203/(-570) + 18)/((-6)/8)?
-2/15
Calculate 44/(-66)*6/(-12).
1/3
What is the value of 24/(-10)*(-350)/84*36/(-60)?
-6
What is the value of (-25)/(25/8)*7/(-14)?
4
What is ((-2)/6)/((-59)/(-42 - 489))?
-3
What is the value of 4/50*(-20 + 33 + 36/(-2))?
-2/5
What is (2516/221 + -12)/(-2)?
4/13
Evaluate (18/45)/(20/(-25))*-10.
5
What is the value of ((-232)/(-870))/(32/(-36))?
-3/10
(-8)/(-3) + 0 - 6765/1845
-1
What is the value of (-8)/6 + (-3395)/19740*-8?
2/47
What is (-2)/20 - (-30545)/(-2050)?
-15
What is the value of 16 + (29 - 56) - -30?
19
What is 84/9*(-12)/14?
-8
Evaluate ((-56)/(-44))/((-15)/165).
-14
15456/(-920) + 15 + 1
-4/5
Calculate (-1)/((-15)/6) - (-41 - -40).
7/5
What is 20/18 + (-260)/(-1872)?
5/4
(1125/270 - 5)*-42
35
Calculate (6 - ((-189)/(-147))/(3/15))*1.
-3/7
Evaluate ((-12)/(-5))/(292/730).
6
Evaluate (-6)/(-105)*-1*(2 - 7).
2/7
Evaluate 23/(529/(-138))*(-3)/(-1).
-18
What is 1*15/(-15)*(-4 - 14)?
18
Calculate (-99)/(-540) - ((-22)/8 + 3).
-1/15
(-2)/2 - (-44)/77*-14
-9
What is the value of (11/(-10) - (-2)/(-4))/(332/(-3735))?
18
What is the value of 66/(-429) + 616/2821?
2/31
What is the value of (235 - 234) + 2/(-8) + 25/(-12)?
-4/3
What is the value of 6 + ((-42)/39 - -9) + -14?
-1/13
What is the value of 453/(-302)*((-22)/12 + 2)?
-1/4
What is (6 - (-3066)/(-462))*-11?
7
What is 2/16 + 1 + 2 + (-71)/(-8)?
12
Evaluate -3 + 176/(16 - 24).
-25
Calculate -2*2/(-12)*879/(-1465).
-1/5
What is the value of (-8)/(-84)*3*(-140)/90?
-4/9
-1*(168/(-21) - -4)
4
What is (-62)/260 - ((-4)/(-50))/(2/(-5))?
-1/26
What is the value of -4 - 2 - (-2)/(-3)*1722/(-196)?
-1/7
What is the value of (-1060)/(-44) - 1020/935?
23
What is (-8)/(-16)*((-672)/(-1068))/14?
2/89
Calculate 9/((-14364)/589) + (1/(-1))/(-3).
-1/28
-17 + 23 - (194/24 + 14/21)
-11/4
Evaluate 460/(-115) + 126/32.
-1/16
Calculate ((-1)/((-84)/(-15)))/(20 - 920/48).
-3/14
What is the value of -2*(-15)/7*((-6)/(-12) + -4)?
-15
What is (22086/4090)/(18/40)?
12
What is 2/(-32) + (-385)/(-528) - (-28)/(-39)?
-2/39
What is -15*37/(-3330)*2*12?
4
Evaluate 328/(-720) - (-90)/225.
-1/18
What is the value of (-490)/18865*(7 + 0)?
-2/11
(-3550)/213*((-1)/3 - (-66)/36)
-25
Calculate (-18)/45 + (-76)/20.
-21/5
What is ((-3)/(-13))/((-36423)/(-24921))?
3/19
Evaluate (-1)/((-225)/(-18)) - ((-1712)/(-1100) + -2).
4/11
What is 2/(-16)*26 - (-39 + 36)?
-1/4
Evaluate ((-11)/((-110)/6))/(1/(2/6)).
1/5
((-14)/196)/(18/72)
-2/7
Calculate (4/6)/((-436)/10464).
-16
What is (-1)/2*(-21 - 1998/(-90))*5?
-3
What is the value of (-12 + (-81)/(-6))/((-6)/40)?
-10
1/2 + 63/6 + 114 + -118
7
What is the value of (-465)/(-20) + 204/272?
24
What is the value of -16*6/27*9/4?
-8
Calculate 2 + (-19)/38 + 13/(-10).
1/5
What is the value of 282/(-39) + 9/39 - -1?
-6
Calculate (1 - (-42)/(-5)) + (720/(-75) - -9).
-8
Calculate (-6 - -14 - 19) + (-276)/(-25).
1/25
Calculate (-4)/14 + (-400)/20 + 21.
5/7
(26/39)/(20/(-45))*-2
3
Evaluate (-3)/4*35/(910/104).
-3
Calculate (-3)/((-459)/(-2)) + 88/(-396).
-4/17
What is the value of ((-1)/18)/((-14)/210) + 451/(-66)?
-6
Evaluate (-14)/(-10) + (-2)/5 - 11.
-10
219/(-90) - (-1881)/(-2090)
-10/3
What is the value of ((-8)/10 - 7176/(-10920))*(-2)/(-6)?
-1/21
What is (-20)/4 + 52/10 + 224/(-20)?
-11
Calculate (-21)/28*(1 + 66/(-18)).
2
What is the value of 1/3 - (-3 + 290/15)?
-16
((-495)/405)/(7/(-63))
11
Evaluate (8 + -17 + 12)/(-7).
-3/7
Calculate ((-27)/(-144))/(17/68).
3/4
(-28704)/(-30360) + (0 - (-6)/(-15))
6/11
Calculate 184832/15360 + 2/(-60).
12
(8 + -1)/((2/14)/((-116)/(-406)))
14
Calculate (-34)/68 - (-62)/9*(-69)/(-1012).
-1/33
Evaluate (944/(-1180))/(8/(-50)).
5
What is 1 + (387/(-24) - -15)?
-1/8
What is the value of 2/(-205)*-5 - (-30)/(-615)?
0
Calculate 14 + -16 + (-34)/(-14).
3/7
What is the value of (3 + 114/(-30))/((-5 + 3)/(-40))?
-16
Calculate ((-847)/22 + 37)/((-2)/(-4)).
-3
Calculate -16 + (-6090)/(-320) - (-33)/(-11).
1/32
What is ((-9)/15)/(-322*27/(-630))?
-1/23
Calculate 1/(1/(-3)) + ((-105536)/1122)/(-32).
-2/33
-6*(3/(-15))/(22/165)
9
What is the value of (1 - 21/15)/(-24*(-9)/180)?
-1/3
Calculate ((-1513)/(-119) + -13)/(-2).
1/7
What is the value of (-1140)/855*(-6)/(-1)?
-8
What is the value of (-1188)/154*(-140)/(-40)?
-27
Calculate ((-150)/(24 - -1))/(8/(-28)).
21
Evaluate (-10)/12*(-466)/1165.
1/3
Calculate (-34)/3 + (-76)/(-228).
-11
Calculate (((-720)/21)/24)/((-24)/14).
5/6
What is the value of 2/22*-1 + (11424/(-176) - -89)?
24
Evaluate ((-380)/(-3192))/(5/9).
3/14
What is ((-2)/36)/((-2)/(-6))*(-5)/35?
1/42
(-9)/84*(-2048)/144 + 6/(-9)
6/7
What is the value of (84/(-30))/((32/(-20))/(-4))?
-7
What is the value of (-29785)/16317 + 10/9?
-5/7
What is the value of (0 + (-544)/(-80) - (-2)/10) + -8?
-1
Evaluate -239 + 256 - (-189)/(-11).
-2/11
Evaluate 284/168 + (-385)/462.
6/7
Calculate (-44)/14 + 58/406.
-3
What is (3/((-6)/(-34)))/(-1)?
-17
Evaluate (-282)/(-22) + (-79)/((-62568)/144).
13
((-43 - -39) + 1*3)*(5 + 2)
-7
What is the value of ((-40)/(-12))/5*3/10*-1?
-1/5
((-34)/(-7))/(160/560) + -8
9
Calculate (-12)/(-44) - 174/(-13398).
2/7
Evaluate 2/1*1*215/(-258).
-5/3
(-6880)/2150*3/(-4)
12/5
Calculate (11/(-165))/(152/(-2660)).
7/6
What is the value of 8/(-15)*5*609/(-580)?
14/5
Calculate 40/(-6)*-1 + 3*(-35)/63.
5
Calculate (6/(-8))/((-39)/(-26) - 34/24).
-9
What is the value of -4*(-20)/400*-35?
-7
Calculate (-2*(392/32 + -12))/(1/(-18)).
9
What is (-10 + (7 - 33/(-9)))/((-14)/6)?
-2/7
Evaluate 120/21 + (-3 - 3)*1.
-2/7
Calculate 282/48 + (-6)/(-12) + -7.
-5/8
8*(-6981)/2184 - -25
-4/7
Evaluate 35*55/((-5775)/(-60)).
20
Calculate (1600/(-75) + 0/(-10))*(-3)/(-2).
-32
Evaluate (177 - 12)/11 + 3059/(-203).
-2/29
Evaluate (4/6)/(256/(-5376)).
-14
(-36)/(-6) + -10 + (-42)/6
-11
What is the value of 71712/2376 - (-2)/(-11)?
30
Evaluate -13 + (-14 - 1634/(-57)).
5/3
Calculate (-874)/138 - (-15)/(6/2).
-4/3
What is -8 - (2 - (-75)/15)?
-15
(-85)/(-17)*28/35*(-3)/6
-2
Evaluate 1/(6/(-14))*2470/(-8645).
2/3
What is the value of (1520/80 - 219/12)/(2/(-64))?
-24
Calculate 46/69 - (-8)/(-6).
-2/3
Calculate 140/(-525) - ((-3335)/975 + 3).
2/13
Calculate (33/(-495)*-20)/((-2)/9).
-6
Calculate (508 - 584)*(-1)/4.
19
What is the value of 284/9 + 3140/7065?
32
What is the value of (5844/487)/(3/(-9))?
-36
(-12)/19*6498/(-513)
8
What is the value of ((-28)/(-8))/(-2 - 20/(-8))?
7
Calculate 8 - 0*5/60*-6.
8
(8 - (1 - -8))*-4*(-1 - -2)
4
What is 16/(-464)*319/(-44)?
1/4
(-6 - 9 - -6) + -3 + 15 + -6
-3
Calculate 2/(-2088)*-90*8/10.
2/29
What is (4/(-1))/(-8 - 1554/(-185))?
-10
What is 108/(-3)*(-28)/(-924)?
-12/11
31524/(-9656) + (-8)/34
-7/2
Evaluate 3 - ((-1644)/(-528) - 3/(-12)).
-4/11
What is 63/(-54)*(-6)/28 + 46652/1744?
27
((-27)/(-81))/(1/(-6)) - (-3 - 5)
6
Evaluate 13 + (-657)/51 - (-310)/(-34).
-9
Calculate 2/(-2)*(7 - (-7 + 13)).
-1
What is 34 + -7 + (-56)/(-4) + -19?
22
What is (35/(10 + -220))/(86/(-12))?
1/43
Calculate (-88)/7 - 345/805.
-13
(-6)/4*((-54)/(-9) + 66/(-9))
2
What is 16/(-84)*(4 - 1) - (1 - 1)?
-4/7
Evaluate -15 + 20 + -23 - 0.
-18
(24 + 943/(-46))*(-8)/(-252)
1/9
(509 + -506)/(1/(-10))
-30
Calculate 846/(-4653)*(-33)/36.
1/6
((-10)/(-825))/((-328)/(-820))
1/33
Evaluate (-6)/(-2)*2*16/11232*-6.
-2/39
Evaluate ((-400)/(-3900))/(4/(-6))*-13.
2
2*-2*1/(-20)*5
1
What is (5/2)/((-5)/(-60)*(-6)/(-2))?
10
What is 4/24*-4*(8 + (-6)/2)?
-10/3
Calculate (-1 - -6) + -253*(-25)/(-275).
-18
What is 20/(-160) - (-2)/8?
1/8
Calculate (33 - 34)/(2/(-4) - (-30)/45).
-6
What is the value of ((-279)/1085*18/(-27))/((-2)/(-5))?
3/7
What is 342/42*(-1)/(-3) + (-16)/6?
1/21
What is ((-279)/62)/(8/16)?
-9
Evaluate -6 - (-14 + (-1 + 4)*(-112)/(-84)).
4
What is the value of -1 - (-64)/(-11) - (360/44)/45?
-7
14/63 - (472/18 + (-10 - -10))
-26
What is the value of 1419/172*96/(-72)?
-11
Calculate (0 - -44)/1*(-664)/2656.
-11
What is the value of -36 + (8 - (5 - 20))?
-13
What is (-20)/14*(-1541)/7705?
2/7
What is the value of 1230/(-2583)*(-12)/10?
4/7
Evaluate 7 + (-3840)/135 - (-64)/144.
-21
((-4392)/(-3294))/(1/18)
24
14/10*(16/(-280 | {
"pile_set_name": "DM Mathematics"
} |
*2*u + 60820*u**2 + 10
What is the first derivative of -b**2*c - 256*b**2 + 231*b - 4650*c**4 - 16*c**2 + 2 wrt c?
-b**2 - 18600*c**3 - 32*c
Differentiate -68673782*m*r - 69158323*m wrt r.
-68673782*m
What is the third derivative of -524*s**5 + 12664*s**4 - 36324*s**2 - 510*s wrt s?
-31440*s**2 + 303936*s
Find the third derivative of -41644825*d*z**3 + 2*d*z**2 + 9*d - 38*z**2 + z + 41 wrt z.
-249868950*d
Find the second derivative of -373*u**4 - 10377*u**2 - 270687546*u wrt u.
-4476*u**2 - 20754
What is the third derivative of 206086868*h**3 - 61002*h**2 + 6*h + 34?
1236521208
Find the second derivative of 3*m**3*z**4 - 4280762*m**3*z**2 + 5*m**3*z - 6*m**3 + 6*m**2*z - 10*m*z - 951*z wrt z.
36*m**3*z**2 - 8561524*m**3
Find the second derivative of 24*j**5 - 62*j**3 + 3*j**2 + 6230594*j.
480*j**3 - 372*j + 6
Find the first derivative of -8919643*z**4 + 12865668 wrt z.
-35678572*z**3
What is the second derivative of 3*q**4 + 404852*q**2 - 2*q - 504024 wrt q?
36*q**2 + 809704
Find the third derivative of 12325560*i**5 + 3423456*i**2 - 4*i.
739533600*i**2
What is the third derivative of -139196536*b**5 - b**4 - 207*b**2 - 24*b - 926?
-8351792160*b**2 - 24*b
Find the second derivative of 7804*h**5 - 9232*h**3 - 552987694*h.
156080*h**3 - 55392*h
What is the derivative of 14485298*t**2 + 8916469?
28970596*t
Differentiate -4185*m**4 + 8419*m + 35138242 with respect to m.
-16740*m**3 + 8419
What is the second derivative of 25530060*l**2*q - 3*l*q + 198*l + 3*q - 411 wrt l?
51060120*q
Differentiate 74*c**2 - 1786194*c + 544284243 with respect to c.
148*c - 1786194
What is the third derivative of -373441757*t**3 - 643385904*t**2?
-2240650542
What is the third derivative of -34143785*y**6 + 1060*y**2 + 83*y + 100 wrt y?
-4097254200*y**3
What is the second derivative of -2*b**3*g**3 - 24529409*b**3*g - 16*b*g + 16145*b + 4*g**3 wrt b?
-12*b*g**3 - 147176454*b*g
Differentiate -10*i*u**3 - 18172020*i - 10*u**3 - 42977*u**2 - 2*u with respect to i.
-10*u**3 - 18172020
What is the third derivative of -1277*q**4 + 11142*q**3 + 2*q**2 - 13481048 wrt q?
-30648*q + 66852
What is the first derivative of q**2 - 5764472*q + 9367693?
2*q - 5764472
Find the third derivative of -5573337*g*i**3 + 4*g*i**2*w - g*i**2 - 7*g*w - 55*g + i**3*w + 2*i**2 - 60*i*w wrt i.
-33440022*g + 6*w
Find the third derivative of 478116825*a**3 + 2*a**2 - 20483153*a + 2.
2868700950
Find the third derivative of -56639435*g**3*y**2 - 9*g**2*y**2 - 265*g**2*y - g*y**2 + g*y + 3*y**2 - 8*y wrt g.
-339836610*y**2
What is the first derivative of -978*i**4 - 59298*i**3 - 212667017?
-3912*i**3 - 177894*i**2
Find the second derivative of -1361*f**2*r**2*w + 8557*f**2*w + 8*f*r**2*w - 134442*f*r*w + f*r - 3*r**2 wrt f.
-2722*r**2*w + 17114*w
What is the first derivative of -31920*l*r + 140*l + 637*r - 7629 wrt l?
-31920*r + 140
Differentiate -5*b**2*u - 5257*b**2 - 2412*b*u + 268*b - 17*u with respect to u.
-5*b**2 - 2412*b - 17
Differentiate 7*n**2*t + 50804477*n**2 - 2*n*t + 1324973*t + 283 with respect to n.
14*n*t + 101608954*n - 2*t
Differentiate 1897447*n - 3010200.
1897447
What is the third derivative of -10*m**6 - 7134*m**3 + 2509876*m**2 - 2*m - 3 wrt m?
-1200*m**3 - 42804
What is the second derivative of -350359805*r**5 + 19016*r - 1700 wrt r?
-7007196100*r**3
Find the second derivative of -8030512*s**2 - 792322369*s.
-16061024
What is the third derivative of 1658997*q**6 - 11327953*q**2 wrt q?
199079640*q**3
Differentiate -69888481*u - 74659673 wrt u.
-69888481
What is the third derivative of -40*y**4 + 295715*y**3 + 17189*y**2 - 38*y wrt y?
-960*y + 1774290
What is the first derivative of 24051840*y + 21570102?
24051840
What is the third derivative of -235525154*w**6 + 2*w**2 + 145233*w + 3 wrt w?
-28263018480*w**3
Find the third derivative of 8044652*v**3 + 11868233*v**2.
48267912
What is the derivative of 4023179*m + 3731803 wrt m?
4023179
Find the third derivative of -10152972*u**6 - 118398*u**2 + 11*u - 2 wrt u.
-1218356640*u**3
What is the second derivative of 331281675*i**2 + 1350*i - 5492 wrt i?
662563350
Find the second derivative of -54629467*v**5 - 1031654*v + 1 wrt v.
-1092589340*v**3
Find the second derivative of -27022235*c**2*k + c*k + 7596*c + 2*k - 5 wrt c.
-54044470*k
What is the third derivative of -60045176*t**3 + 8132040*t**2 - 2*t?
-360271056
What is the third derivative of 3*b**4*n**2 - 610820*b**3*n**2 - 3*b**3 + 13292*b**2 - 376*n**2 wrt b?
72*b*n**2 - 3664920*n**2 - 18
What is the second derivative of 2*l**2*q**2*s**2 - 2513*l**2*q*s**2 + 2*l**2*s - 76250848*l*q**2*s**2 + 11690*l*q - l*s wrt q?
4*l**2*s**2 - 152501696*l*s**2
What is the derivative of -1446*d*k**2 + 842*d + 3*k**2 + 1156*k + 13 wrt d?
-1446*k**2 + 842
What is the second derivative of 49561*g*j**2 + 141116*g*j + 302*g + 1131*j**2 - 3*j wrt j?
99122*g + 2262
Find the second derivative of -56076180*c**3*l + c**2*l + 846*c*l - 242*c - 47*l wrt c.
-336457080*c*l + 2*l
Find the first derivative of -71*f**3*p + 557687*f**3 + 22370*f**2*p - 2*f**2 + 5*f*p + 4*f - 5 wrt p.
-71*f**3 + 22370*f**2 + 5*f
What is the first derivative of 3594*a**3 - 129*a**2 - 8590503?
10782*a**2 - 258*a
Find the first derivative of 1015880575*n - 577685017.
1015880575
What is the first derivative of 87912777*f*u + 6393*u - 585 wrt f?
87912777*u
Differentiate -7202*h**2*i + 55003*h*i**2 + 139*i**2 - 1067646 with respect to h.
-14404*h*i + 55003*i**2
Find the second derivative of -11847267*o**2 - 10944358*o wrt o.
-23694534
What is the derivative of 98489*t**3 + 102*t**2 + 79267359?
295467*t**2 + 204*t
What is the second derivative of -87*d**2*p**3 + 3923*d**2*p + d*p**3 - 20905*d*p**2 - d + 3*p - 1 wrt p?
-522*d**2*p + 6*d*p - 41810*d
Find the third derivative of 50313877*p**3 + 2*p**2 + 8515579*p wrt p.
301883262
What is the third derivative of 15716605*k**5 + 6782026*k**2?
942996300*k**2
What is the third derivative of -2*j**3*y**4 - 2*j**3 + 196764454*y**6 - 65975904*y**2 wrt y?
-48*j**3*y + 23611734480*y**3
Find the third derivative of -65*j**3*u**3 - 7*j**3*u**2 - 2*j**2*u**3 - 68911*j**2*u**2 - 3176*j*u**3 + u**2 wrt u.
-390*j**3 - 12*j**2 - 19056*j
Differentiate -562*a*d**3*q**2 - 445816*a*d**3*q - d**3*q**2 + 8652*d*q**2 + 19*q**2 + 17 with respect to a.
-562*d**3*q**2 - 445816*d**3*q
What is the first derivative of 1394*f**3 + 12758*f - 37587378 wrt f?
4182*f**2 + 12758
Find the first derivative of 134811*t**3 - 130*t + 10040223.
404433*t**2 - 130
What is the second derivative of 369382571*y**3 + 6085*y - 410 wrt y?
2216295426*y
Find the third derivative of 21800845*a**3*g - 2*a**2*g - a**2 + 20*a*g - 3379*g - 1 wrt a.
130805070*g
Find the third derivative of -843886481*i**3 - 551343520*i**2.
-5063318886
Find the second derivative of o*w**2 + 95*o*w - 10*o - 141172963*w**2 + 3*w + 900 wrt w.
2*o - 282345926
Differentiate 3316738*h*v**2*w**3 + 2*h*v + 218181*h*w**3 - 6*h - v*w**3 wrt v.
6633476*h*v*w**3 + 2*h - w**3
What is the third derivative of -96732655*m**4 + 2*m**3 - 156715662*m**2 wrt m?
-2321583720*m + 12
Find the second derivative of 6*a**3*f**2 - 6*a**3*f - 2489*a**3 - 24033*a*f**2 - 7*a*f - 11*f**2 - 3 wrt a.
36*a*f**2 - 36*a*f - 14934*a
Find the third derivative of -44040715*b**6 + 2*b**5 + b**2 - 27095712*b wrt b.
-5284885800*b**3 + 120*b**2
What is the second derivative of 5700476*k**2 - 14631406*k?
11400952
What is the second derivative of -5*h**3*n**2*y - 7209*h**3*n*y + 39*h*n*y - 3*h*y + 1685076*n**2 wrt n?
-10*h**3*y + 3370152
What is the third derivative of -55148535*c**5 - 2*c**3 - 85080384*c**2?
-3308912100*c**2 - 12
Find the second derivative of -16553*x**4 - 1352*x**3 - 13*x + 81704.
-198636*x**2 - 8112*x
What is the second derivative of -12537864*o**2 - 16376705*o?
-25075728
What is the first derivative of 776158*l**2*z - 1452*l**2 + 12*l*z**2 - 2*l*z + 83*l + 38 wrt z?
776158*l**2 + 24*l*z - 2*l
Find the third derivative of -51255*c**4 - 266*c**3 + 60108*c**2 + 606 wrt c.
-1230120*c - 1596
What is the second derivative of c**2*r**3 + 36*c**2*r*y - 39*c**2*y + 2*c*r*y + 6422057*r**2*y - 10*r*y - y wrt r?
6*c**2*r + 12844114*y
What is the first derivative of 192781112*q**2*y + 807225*q**2 + 196 wrt y?
192781112*q**2
Differentiate 5*d**4 + 3*d**3 - 335502*d**2 - 12703160.
20*d**3 + 9*d**2 - | {
"pile_set_name": "DM Mathematics"
} |
6. Let h be b(8). Let d(w) = 8*w**3 - w**2 + w. Let y be d(h). Suppose -4*s - y = -6*s. Is s a prime number?
True
Suppose v = 3*v. Suppose 3*m = -a - 2*a + 1479, v = -5*a + 4*m + 2420. Let q = a - 237. Is q a prime number?
True
Let t = -965 + 1745. Let l = -277 + t. Is l prime?
True
Suppose -16*n + 21*n = -8125. Is n/(-3) + 2/(-3) a composite number?
False
Suppose 9*p - 4*w - 37827 = 4*p, -4*p - 3*w = -30243. Is p prime?
False
Let i = 1655 + 7736. Is i a composite number?
False
Is (11 + (-62)/6)/((-4)/(-40038)) composite?
False
Let t = 15 - 10. Let c(y) = 141*y - 20. Is c(t) composite?
True
Suppose 18*d = 19*d - 1189. Is d prime?
False
Let h be (22/4)/(-2*(-2)/8). Let y = 8 + h. Is y a composite number?
False
Let a = -4532 - -10155. Is a a composite number?
False
Let d = -1 - -9. Let v be ((-118)/(-4))/(4/d). Let a = 8 + v. Is a a composite number?
False
Suppose -7*l - 7 = 21. Is -5 + (-16)/l + 452 prime?
False
Let r = 19581 + -9828. Is r a composite number?
True
Let a be 843/(-6)*84/(-7). Let n = 2403 - a. Is n composite?
True
Suppose 0*l = -2*l - 2*n + 4, 4*l = 3*n + 29. Let u be l/15 + (-8)/(-3). Is 106 - (-1)/(-1)*u composite?
False
Suppose 3*w - 1167 = 2*p, 0 = w - 2*p - 39 - 354. Suppose -d + 217 = -w. Suppose -f - 655 = -5*b, -51 = -5*b - 4*f + d. Is b prime?
True
Let y(j) = -78*j**2 - 2. Let s(d) = -d**2 + d - 1. Let o(g) = 3*s(g) - y(g). Suppose -8 = -a - 3*w, -2*a + 5*w - 8 + 2 = 0. Is o(a) a prime number?
False
Suppose 3*x - 5*a + 2 = -6, 0 = -2*x + 4*a - 8. Let w = 149 - x. Let m = 212 - w. Is m a composite number?
False
Let z(b) = -36*b + 3. Let m be z(-1). Is -3 - (m/(-1) - -1) composite?
True
Let s(v) = -187*v + 160. Is s(-27) a prime number?
True
Let p(n) = n**2 - 11*n + 5*n + 0 + 0 + 5. Let k be p(6). Suppose 611 + 444 = k*w. Is w a prime number?
True
Let x = 11705 + 15444. Is x a prime number?
False
Let t be (-1 - (-7702)/6) + (-1)/(-3). Suppose g = 4*w + 1293, g + 4*w - 3*w = t. Is g a composite number?
True
Suppose -3579 = -2*p + 4231. Suppose -5*u + 0*u + p = 0. Is u composite?
True
Let f(c) = 1086*c + 13. Is f(3) a prime number?
True
Let y = 309 - 170. Let p = 1492 + y. Is p prime?
False
Suppose 0 = 4*t - 2*d - 23588, 5*d = t - 2815 - 3082. Is t composite?
False
Suppose 3*q + 23 = 3*f + f, 5*f - 31 = 3*q. Suppose -2*i = 2*g - 888, -3*g + f*i - 3*i = -1340. Is g a prime number?
False
Let n = -61 - -57. Is 179/((4/24)/((-2)/n)) prime?
False
Let r = -2142 + 6337. Is r prime?
False
Suppose 24 = 39*b - 36*b. Is ((-389)/(-2))/(b/16) a composite number?
False
Is 110/(-550) - (-6)/(-5)*-1116 prime?
False
Let s be 1/(-3) - -1*16/3. Suppose -2*z - s*v + 446 = 0, -2*z + 669 = z - 3*v. Is z a composite number?
False
Suppose -2*a = 2*c - 20648, 16*a - 10299 = -c + 20*a. Is c prime?
False
Suppose -4*w - 2039 = -5*b, -4*w + 12 + 4 = 0. Is b a composite number?
True
Suppose a - 15 = -4*f, 0 = -f - 2*f + a + 6. Suppose f*b + 5 = -5*n, 0 = b + n + 1 - 2. Suppose -2*k + 326 = 4*v, -b*v - 309 - 491 = -5*k. Is k prime?
False
Let g(c) = 3*c**2 - 2*c + 1. Let o(s) = s**3 - 6*s**2 - s + 7. Let t be o(6). Let u be g(t). Is (97/(-4))/(u/(-40)) composite?
True
Suppose 123*w + 71951 = 134*w. Is w a composite number?
True
Let n(g) = g**2 - 36 - 63 + 2. Let c be n(0). Is -4*c/10*5 a composite number?
True
Let k(g) = 15 - 3 - 5 - 8 + 9*g. Let l be (-1)/(((-4)/(-2))/(-14)). Is k(l) a prime number?
False
Is 2 + (-56)/22 + (-5113280)/(-2090) a prime number?
False
Let y = 5917 - 2246. Is y a prime number?
True
Let i = 4234 + 83. Is i a composite number?
True
Suppose 3*d = 5*h, -34 - 1 = -5*h - 4*d. Let l be 3/(3/(-2)) + 567. Suppose 4*n - 4*p = 5*n - l, -n - h*p = -562. Is n a composite number?
True
Is ((-51)/15)/((-4)/1510)*2 a prime number?
False
Let c = -4 - -6. Suppose c*i + 5 = 2*n - 7, -38 = 5*i - n. Is (5072/64)/((-2)/i) a composite number?
False
Let f = -214 - -1361. Is f composite?
True
Let a(g) = 11727*g + 4. Let l be a(1). Suppose 5*r = 5, -q - 4*r + l = 2*q. Is q a composite number?
True
Suppose -5*a + 2962 = -5*v - 503, 2*a - 3*v = 1390. Is a prime?
False
Suppose 2 + 83 = 5*y. Suppose 13*x - y*x = -2212. Is x a prime number?
False
Suppose 4*s + 793 - 15941 = 0. Is s a composite number?
True
Suppose 7 = 2*a + 3*a - 4*m, 5*m - 22 = -4*a. Suppose 0 = 3*s - j - 109, -2*j - 5 = a. Is s a prime number?
False
Suppose -7*p - 2*p = -342. Is (4 - 5)/((-2)/p) prime?
True
Let i(m) = 16*m**3 + 5*m**2 + 6*m + 6. Let t be i(-4). Suppose 0 = -v - 8*v - 14751. Let l = t - v. Is l prime?
True
Suppose -5*n = -19632 - 7273. Is n a composite number?
False
Let c(t) = 51*t**3 - 2*t**2 + 3*t + 1. Let v be (2/(-7))/(11/(-77)). Is c(v) a composite number?
True
Suppose 371204 + 39121 = 75*u. Is u prime?
True
Suppose 196 + 1985 = 3*g. Suppose -u = -g + 50. Is u prime?
True
Suppose 10*c - 12*c + 2294 = 0. Let o = c - 498. Is o composite?
True
Let g = 17 + -32. Let m = g + 25. Is 2*1 - (m + -405) composite?
False
Suppose -3*k = -2*k - 4. Suppose 2939 = 5*c - k*s, 4*c - 1055 = s + 1294. Is c prime?
True
Let j(p) = -1485*p - 18. Let i be j(3). Let k = i + 7044. Is k composite?
True
Let n(l) = 5*l - 1. Let q = -15 - -10. Let b be n(q). Let t = b - -84. Is t composite?
True
Suppose 6*d + 143 = 7*d. Is d prime?
False
Let j(q) = 3*q - 15. Let w be j(9). Let g(s) = 7*s**3 - 3 - 4*s**3 + 4*s**2 - 11*s + w*s. Is g(4) composite?
False
Let w(q) = 428*q + 5. Let a be w(3). Suppose 5*f - 1106 = a. Is f a composite number?
False
Let p(a) = 5*a + 3. Let n be p(-1). Is (-844)/n*9/6 a prime number?
False
Suppose -2276 = -11*n + 914. Is (4 - n/3)*27/(-6) prime?
False
Let z = 17601 + -9706. Is z a prime number?
False
Suppose -4*i + 2376 = -4*n, -4*i - 2*n + 2390 = n. Suppose 4*m + 1 = 5, 0 = -3*y + m + i. Is y a prime number?
True
Let l(d) = -14*d - 20 - d**2 + 7*d**2 - 4*d**2 + 11*d**2. Is l(-9) prime?
False
Suppose -4*v = -2*g - 6844, -v = v + g - 3422. Is v composite?
True
Let y = 1052 + -565. Suppose 0 = q + 4*c - y, c + 1 = 3. Is q prime?
True
Is (9 - 973881/(-15)) + 2/(-5) prime?
False
Let a be 2 - -17 - (1 + 0). Suppose -g + 5 = -2*g + 5*j, 4*j = -2*g + a. Suppose 4*i - g*p - 1243 = 0, -i - 2*p - p = -298. Is i composite?
False
Suppose -8*m + 5*m = -1119. Is m a prime number?
True
Let o(u) = 5*u**2 + 12*u - 5. Let q be o(-4). Suppose 5*c - 3894 + q = -f, -f + 3863 = 4*c. Is f prime?
True
Let f = -6145 + 2836. Is -2*3/18*f prime?
True
Let o(v) = 42*v**2 + 10*v + 1. Is o(7) prime?
True
Suppose -104316 + 300683 = 17*c. Is c a composite number?
False
Let j = 1560 - 2787. Let g = j + 1760. Is g prime?
False
Suppose -4*m + 210 + 442 = 0. Let x = 320 - m. Is x prime?
True
Suppose 23617 - 1401 = 8*c. Is c a composite number?
False
Let b(h) = 9*h + 41. Let r be b(-5). Is (-1)/(-5) + r/5*-741 composite?
False
Is -1*(-188 + (1 - 4)) a prime number?
True
Suppose 2*t + 4863 = 3*d, -d + 3*t - 30 + 1651 = 0. Suppose 2*b - 2185 = d. Suppose -b - 42 = -5*y. Is y prime?
True
Let s(c) = -13860*c**3 + 2*c**2 + c - 2. Is s(-1) a composite number?
False
Suppose 4*a - 15 = 5. Suppose -a*x = 786 - 3021. Is x a composite number?
True
Let z = -3714 + 8172. Suppose 4*m + 4*b = 4448, 0*b = 4*m + 2*b - z. Is m a prime number?
True
Suppose -c - 5*c + 18 = 0. Suppose -4*l = 3*x - 3995, 5*l = -c*x + 2724 + 2266. Is l a prime number?
False
Let s(j) = 178*j + 1. Let a(n) = -182*n - 5. Let f(x) = -x - 1. Let b(k) = -a(k) + 4*f(k). Let g(t) = -5*b(t) + 6*s(t). Is g(1) a composite number?
False
Suppose c = 5*o - 38, -5*o + 34 = -o - 2*c. Suppose -3*q + 15 = -0*q. Is (-99 + q)*o/(-2) a composite number?
True
Let i(m) be the third derivative of 0*m - 3*m**2 + 13/6*m**3 + 0 - 131/12*m**4. Is i(-3) prime?
False
Suppose 2*w = 2*k + 4, k = -2*k - 5*w + 34. Suppose 6 = -2*a, 581 = -k*c + 2*a + 2570. Let o = c + -208. Is o a prime number?
False
Suppose 5845 = 5*a - m, -5*a + 4705 = -a + 5*m. Let s = a + -521. Is s a composite number?
True
Let d(v) = -621*v**3 + 2*v**2 - 4*v - 3. Is d(-2) prime?
False
Suppose -17254 = -4*d + 3*d - j, 4*d - 5*j - 69043 = 0. Is d a prime number?
True
Let f = -7 - -13. Let o = f - 1. Suppose o*k = k + 212. Is k composite?
False
Suppose 3*o - 6*v + 11*v = 12229, 4*v + 12238 = 3*o. Is o a prime number?
False
Let i be (-285)/(-6)*(29 + -1). Let d be (10/(-20))/(1/i). Let v = d + 1072. Is v a comp | {
"pile_set_name": "DM Mathematics"
} |
n -8.992, -3, 44, 6?
-3
What is the closest to 0 in 0, 2, 1.206, 0.19?
0
What is the nearest to 1 in -0.0292, -2/269, 3?
-2/269
What is the closest to 1226.6 in 1, 41, -1/6?
41
Which is the nearest to 9? (a) -0.5 (b) -2/55 (c) -2/113 (d) -0.1
c
Which is the closest to 0.2049? (a) -48 (b) -4 (c) -20
b
What is the closest to -927152 in 2/17, -4/7, 0.5, 0, 2?
-4/7
What is the nearest to 1 in 0.1, 1/38, 5, -40370?
0.1
What is the nearest to -1/7 in -1042, -25, -3/2, 2?
-3/2
What is the nearest to -3 in -71, -1/10, 18915?
-1/10
Which is the closest to -1? (a) -1/10 (b) -4 (c) -3 (d) -0.3 (e) -1013 (f) -657
d
Which is the closest to -0.1? (a) 0.64 (b) 3 (c) 0 (d) -499673
c
What is the closest to 348/13 in -2, -18.7, 0.5?
0.5
Which is the nearest to -3? (a) 4 (b) -607.9 (c) 5 (d) 6
a
Which is the closest to -5.1? (a) 3/2 (b) -1430 (c) -2 (d) -11
c
What is the closest to -0.5 in 1/5, 0.148011, -2?
0.148011
What is the closest to -0.13931 in -0.2, -6, 2/9?
-0.2
Which is the closest to 0.25? (a) 2/5 (b) -2/11 (c) -214 (d) -7/2 (e) 0.2 (f) 2/11
e
Which is the nearest to -0.1? (a) -0.5993 (b) 438 (c) 1/7
c
Which is the closest to -2? (a) 1/197 (b) -3 (c) -0.1 (d) 630 (e) -10/9
e
Which is the closest to -687? (a) -2 (b) 1/6 (c) -5 (d) 0.5 (e) -9
e
What is the closest to -0.12 in 29/10, -1/11, -5, -1/2?
-1/11
Which is the closest to 1? (a) 0.037 (b) 5 (c) -9173/2 (d) 2/5
d
Which is the nearest to 0.2? (a) 12 (b) 1/34 (c) -0.1 (d) -0.4 (e) 3519/2
b
Which is the closest to 0.16? (a) 53 (b) 1 (c) 2 (d) -7 (e) -6
b
What is the closest to 16 in 88/5, 3, -8/237, -4, 0.5, -0.2?
88/5
What is the closest to -1 in 6, 11502, -0.006?
-0.006
What is the nearest to 17 in 1/4, 2/7, -0.019, -2, -11?
2/7
What is the closest to 215 in 0.04271, -14, 9?
9
What is the closest to 2/3 in -3, -56/23, 135?
-56/23
What is the closest to 51/2 in -451, 2/9, -2/3, -1/4?
2/9
What is the closest to 1/4 in -2/9, -11, -2/19, 2/29, -1731?
2/29
What is the nearest to -8/4935 in -11, 71, -3?
-3
Which is the closest to -33? (a) -1/4 (b) 0 (c) 0.2 (d) 0.21 (e) 1.2 (f) 2/19
a
Which is the closest to 665? (a) -1 (b) -18551 (c) 4/3
c
Which is the closest to -2? (a) 1.33071 (b) 7 (c) 6
a
What is the closest to 0.126 in 11/9, 6, 23.7, 2?
11/9
Which is the nearest to -0.02? (a) -0.79 (b) 7420 (c) 2
a
Which is the nearest to -4658? (a) -0.14 (b) -24/19 (c) 0.3
b
What is the nearest to 10/137 in 8.64, 4, 11?
4
What is the closest to -6 in -1, 1/2, -9.6, -11/13?
-9.6
Which is the closest to -134? (a) -23364 (b) -1/4 (c) 3/7
b
What is the nearest to -0.1 in 10, -0.89, 0.1, -5, 1?
0.1
What is the nearest to -1/7 in -1, 0.1, -0.01, 4, -4, -0.5?
-0.01
Which is the closest to 2/3? (a) 1/1620 (b) -3 (c) 254 (d) 7 (e) -4/5
a
What is the nearest to 16 in 2/3, -702, 3/2, -1, -330, 4?
4
What is the nearest to -1 in 22, 0.13, 2/117, 0, -89?
0
Which is the closest to 0.17? (a) 0.4 (b) 1.12 (c) 110
a
What is the closest to 1 in 18, 2027/5, -2, -1?
-1
What is the closest to 38144 in -5, 2/5, 20?
20
Which is the closest to -0.2? (a) -2560221 (b) 1 (c) -18 (d) 3/7
d
What is the nearest to -2/599 in 5, -0.1, -1.86?
-0.1
Which is the closest to -1? (a) -311.8 (b) 0.0133 (c) 8/13
b
What is the nearest to -0.32 in 0.158, -452, 1/3?
0.158
Which is the nearest to 99? (a) -11 (b) 1.91 (c) 2
c
What is the nearest to -0.3 in -0.074, 0, 604, -6?
-0.074
Which is the closest to 447? (a) 5/3 (b) -0.1 (c) -2 (d) 5 (e) -1/7
d
Which is the closest to 4? (a) -0.2 (b) 49.8209 (c) -2 (d) -4
a
Which is the nearest to -4? (a) 0.09 (b) 2/3 (c) -0.4 (d) 24395
c
Which is the nearest to -1? (a) -47 (b) -1/1811 (c) -3/2 (d) -4 (e) 4 (f) 2/39
c
Which is the closest to 5/9? (a) 0.07 (b) -0.2 (c) 1 (d) 0.32
d
What is the nearest to 3/7 in 582/23, 2, 5?
2
What is the closest to -1/4 in 15, 9, 5, 0.5, 1/15?
1/15
What is the closest to 11/8 in 424, -2/7, 5997?
-2/7
What is the closest to 0.1 in -198, 12.1, -2, -1/2, -4?
-1/2
What is the nearest to 1 in 24, -0.362, -5, 0.257?
0.257
Which is the closest to -2419? (a) -4428/5 (b) -0.4 (c) 5/4
a
What is the nearest to 1/3 in -20, -16, -2/59, 0.1?
0.1
Which is the nearest to -1/4? (a) 2 (b) 0.7 (c) -71 (d) -60
b
What is the nearest to 0.03 in 4, 0.07, -15477?
0.07
What is the closest to 1/7 in 10, -0.096, 2/39, 0.4, 5?
2/39
What is the closest to 2 in -64, 169, 305?
-64
Which is the nearest to 2? (a) -249 (b) -4/7 (c) -0.5 (d) -95 (e) -2/9
e
Which is the closest to -2? (a) 82/11 (b) -337 (c) -5 (d) -2/7
d
Which is the closest to 1/20424? (a) 4 (b) 11 (c) -0.12 (d) -2/3
c
What is the closest to 2/5 in 5.53, 337, 1/5, -41?
1/5
What is the closest to 4 in 0.0469, -32.6, -4?
0.0469
What is the closest to 1 in 460934, 2, 0.11, 1/3?
1/3
Which is the closest to -0.003? (a) 15 (b) 0.3 (c) -5 (d) 8 (e) 0.53
b
Which is the closest to 0.22? (a) -0.3 (b) -66.4 (c) 7 (d) 0.45 (e) 0 (f) 8
e
What is the nearest to 0 in 34/13, 40/11, -12/5?
-12/5
Which is the nearest to -5591? (a) -43/5 (b) -0.5 (c) -4
a
Which is the nearest to 20? (a) 6396 (b) 0 (c) -2.2 (d) -1
b
What is the nearest to -0.029 in 0.1, 147/46, -4?
0.1
What is the closest to 1.358 in -3/7, 1/4, 3, -56?
1/4
What is the nearest to -11110 in -3, -5, 0.5, 198, -0.3, 5?
-5
Which is the closest to 2/91? (a) -31759 (b) -1 (c) -5 (d) 5 (e) 2 (f) -3
b
Which is the closest to -64286? (a) 2 (b) 3 (c) 13/4 (d) -3 (e) -3/2 (f) -0.2
d
Which is the closest to -1? (a) -0.1 (b) -1017 (c) 110 (d) -1/8
d
What is the nearest to -3 in -1.2, 10, 0.4, 261, 3/4, -0.1?
-1.2
What is the nearest to 0.04 in -196.7, 0.02, 35, -1?
0.02
What is the closest to 2/5 in -32, 24, 2/7, 3, 66.9, -4?
2/7
Which is the nearest to 44? (a) -0.4 (b) 93 (c) 22/23
c
Which is the nearest to -252? (a) 12 (b) 592 (c) 1/3 (d) 0.5
c
Which is the nearest to -173? (a) -4/7 (b) 2/55 (c) -0.021 (d) 0
a
Which is the closest to 1/1151130? (a) 1/10 (b) 0 (c) -4 (d) -3
b
What is the nearest to -9 in 2, 0.01, 10?
0.01
What is the nearest to 6.8 in 2.9, 3/7, -0.3, 2, 17?
2.9
Which is the nearest to 24? (a) -6 (b) -5 (c) -136/5
b
What is the closest to 70.915 in -4, 1.4, -3?
1.4
What is the nearest to 5 in 2/323, 2/15, 9, 2/7, -0.002?
9
Which is the nearest to 0.2? (a) 1/1624 (b) 124 (c) -94
a
Which is the nearest to 0? (a) 1.1 (b) -7/239 (c) -532 (d) 2/5
b
Which is the nearest to 4? (a) -5 (b) -27 (c) -231 (d) 0.4 (e) 3
e
What is the nearest to -189/25 in -1/3, 3/34, -8/7?
-8/7
What is the nearest to 2/5 in 2/383133, 2/19, 5, -0.1, -1/3?
2/19
Which is the nearest to -1/5? (a) 0.07 (b) 213 (c) 167 (d) 0.118
a
Which is the closest to 0.03? (a) -5 (b) -468/11 (c) -1301 (d) -4/3
d
What is the nearest to -0.1 in 0, -64, -2.01, 1/20, -6?
0
Which is the nearest to -3.361? (a) -1/4 (b) 0.8 (c) -3/4 (d) 3 (e) -1/2
c
What is the nearest to 81 in -182, 25/2, 2, 0.5?
25/2
Which is the closest to -1? (a) 2417 (b) 11644 (c) 2/7
c
What is the closest to -0.4 in -0.4, 489, -5, -604/13, 0?
-0.4
What is the nearest to -2/213 in 1.004, -5, 12?
1.004
Which is the closest to 2? (a) 5/7 (b) 221 (c) -0.036 (d) -35/4
a
What is the nearest to 2 in -1/6, -1, 415, 5411?
-1/6
Which is the closest to -2.1? (a) -1 (b) -2 (c) -4930 (d) -3/5 (e) -0.5 (f) -2/9
b
What is the nearest to -3840/187 in -0.3, 0.05, 47?
-0.3
What is the nearest to -148/405 in 2, -2, -4?
-2
What is the nearest to 15 in 3/8, 5957, -0.14?
3/8
Which is the closest to 2/7? (a) 4 (b) 2 (c) -17 (d) -2/104513
d
What is the nearest to 0 in 5/11, -2/7, -14056200?
-2/7
Which is the closest to 80/4501? (a) -0.2 (b) 0.09 (c) -2/5 (d) 0.2 (e) -2
b
Which is the nearest to 2/9? (a) 5 (b) -24908 (c) -2 (d) 0.1 (e) 3 (f) 0.03
d
Which is the nearest to -10? (a) 10 (b) -17/507 (c) -1/3
c
What is the nearest to 1.9 in 1/3, -2, 41895?
1/3
What is the nearest to 10/171 in -1021, 8, 2, 0.1?
0.1
Which is the closest to 7/29? (a) -24.3 (b) 2/19 (c) 0.01
b
What is the nearest to 19 in -0.4, -2, 1665392?
-0.4
What is the nearest to -2/3 in -0.2, 2/5, 1118, 0.8, 2?
-0.2
What is the nearest to -4/7 in -1.2, -91, -3, -8, -4, 0?
0
Which is the nearest | {
"pile_set_name": "DM Mathematics"
} |
t t be 2 + -4 - (-7 - 0). Sort -4, m, t.
-4, m, t
Let z = -251/76 + 39/19. Sort 1/6, -27, z in decreasing order.
1/6, z, -27
Let l be (-1)/(-3)*6/(-2). Let b(g) = 2*g**3 + 7*g**2 + 3*g + 5. Let i be b(-3). Suppose -i*j = -3*j - 6. Sort l, -5, j in increasing order.
-5, l, j
Let b = -4.7 + 0.7. Let u = 3.9 + b. Let c = 679 + -681. Put c, 0.2, u in decreasing order.
0.2, u, c
Suppose v + a + 8 - 5 = 0, 2*v + 9 = -5*a. Sort 0, 11, v, -6 in ascending order.
-6, v, 0, 11
Suppose -l + 20 + 7 = -5*u, -10 = 5*l + 4*u. Let v = -34 + 61. Let d = v + -28. Put 4, d, l in decreasing order.
4, l, d
Let o = 0 - 0.2. Let h = -120.9 + 121. Sort o, -1/7, h, -3/5.
-3/5, o, -1/7, h
Let g = -10233 - -2077293/203. Let k = g - 304/3451. Sort 0.3, 1, k.
k, 0.3, 1
Let b = 9485 + -9484.96. Suppose -3*k = -5*k + 162. Let p = 407/5 - k. Sort 1, b, p in decreasing order.
1, p, b
Let i be 38/9 + -4 + 129/27. Sort 6, -3, -5, i in descending order.
6, i, -3, -5
Let i(b) = b**3 - 4*b**2 - 5*b + 5. Let m be i(5). Let d = 5086 + -5082. Sort d, 3, m, 2 in descending order.
m, d, 3, 2
Let s = -45 + 51. Suppose s*h = -4*h - 40. Sort -1, h, 3/8, -0.1 in descending order.
3/8, -0.1, -1, h
Let c(h) = -39*h - 663. Let x be c(-17). Sort x, -0.3, 20 in increasing order.
-0.3, x, 20
Let l = -1146 + 1147. Sort 9, 2, l, -4 in decreasing order.
9, 2, l, -4
Suppose -4*b = 2*i + 98, 0*i - i - 1 = 0. Let r(c) = 4*c**3 + 4*c**2 + 5*c + 6. Let x be r(-2). Let m = x - b. Sort m, 3/7, 0 in decreasing order.
m, 3/7, 0
Let f = 11.8 + -8.1. Let m = f - 1.7. Sort -0.19, m, -2 in ascending order.
-2, -0.19, m
Let i = -361.4 + 404. Let f = -43 + i. Sort f, -2/7, 9 in descending order.
9, -2/7, f
Let s = 21 - 30. Let r = -8.8 - s. Let q = -0.01 - 0.29. Sort r, -3, q.
-3, q, r
Let f = 948 - 947. Sort 5, 52, 2, f in ascending order.
f, 2, 5, 52
Let y = -1514 - -1519. Put y, -2/7, 1/4, -5 in descending order.
y, 1/4, -2/7, -5
Let k = -319 - -321. Let w = -0.4 + 4.6. Let o = 4 - w. Sort k, 0.4, o.
o, 0.4, k
Let c = -0.3 - -0.1. Let r = 1.2 + c. Let w be (2/10)/((-854)/(-305))*-4. Put r, w, 4 in increasing order.
w, r, 4
Let c = 5.29 + -7.29. Put 4, 5, c, -12/37 in descending order.
5, 4, -12/37, c
Suppose 2*p - 61 = -23. Suppose 4*o - 2*l + 84 = -4*l, -o - 3 = -4*l. Let z = o + p. Sort -5, 5, z in descending order.
5, z, -5
Let g = 12 + -19. Let t = 13 + g. Let n = -4 + t. Sort n, 5, 1/4 in decreasing order.
5, n, 1/4
Suppose 2*c - 175 = -3*c. Suppose 3*o = 15, -o = -g + 6*g - c. Suppose 0 - g = 2*w. Put w, -5, 2 in ascending order.
-5, w, 2
Let t be (14 - -1)*(-3 - 25/(-3)). Sort -1, t, 3 in descending order.
t, 3, -1
Suppose 5*y + 37 = 107. Suppose 4*v = -y - 14. Let d = -114 + 113. Put d, v, -2 in descending order.
d, -2, v
Suppose -15 = y + 7*i - 2*i, -3*y - i = 3. Let l be (-1 - (2 + -4)) + -1. Suppose 2*n = -l*n + 4*b - 12, -21 = 4*n - 5*b. Sort n, y, 2 in increasing order.
n, y, 2
Let w be (-69)/21 - (-1 + -2). Let i = 5 + -4.5. Suppose -u + 4*u = -p - 9, u - 4*p = 10. Put u, w, i in descending order.
i, w, u
Let q = 9 - 8. Suppose -5*j = -4*j. Suppose 0 = 3*f, j = 3*m - 0*m - 5*f + 12. Sort q, 0, m.
m, 0, q
Let k(g) = -2*g**3 - 2. Let z be k(2). Let j be (-20)/(-30) - 32/(-6). Suppose -5*f = -j*f. Sort f, z, -2 in decreasing order.
f, -2, z
Suppose 43*p + 70 = 48*p. Suppose 17*y = -5*l + p*y + 50, 4*l = 3*y + 40. Put 3, -2, l, -4 in ascending order.
-4, -2, 3, l
Let m(a) = -2*a**3 - 7*a**2 - 3*a. Let b(q) = -q**2 - q + 1. Let w(z) = 4*b(z) - m(z). Let h be w(-3). Let s be (-12)/5 - 8/h. Sort 2, s, 3 in decreasing order.
3, 2, s
Let n be 3/(-9) + 138/(-18). Let a = 5 + n. Let y be 7 + 3*2/6. Sort a, y, -2 in increasing order.
a, -2, y
Let l be 4/(-1*4) - -3. Suppose 4*s = 3*b + 18, l*b = -2*s - b. Suppose -6 = -4*w + w. Sort w, s, -4.
-4, w, s
Suppose h - 3*h = 20. Let v(a) be the first derivative of a**2 - 13*a - 35. Let q be v(4). Put h, q, 3 in ascending order.
h, q, 3
Let o = 7 + -3. Let w = -74 + 74.3. Let b be 3/(57/(-40)) + 2. Sort w, b, o in descending order.
o, w, b
Let w = 0.6 - -0.4. Let s = 18.08 - 13.08. Sort w, 0, -1/2, s in decreasing order.
s, w, 0, -1/2
Let r = 6.0841 + -0.0841. Put r, 2/11, -43 in descending order.
r, 2/11, -43
Suppose -8*f = -5*f + 12, 4*f = -v - 21. Let c be (-9)/(-6)*16/6. Let q = -3 + c. Sort -2, v, q.
v, -2, q
Let z be ((-14)/(-2) + 0)*(-9)/(-21). Suppose 8*n + z = 155. Sort -3, n, 2.
-3, 2, n
Let o = 1223 - 1225. Put o, 2, 5, -43 in ascending order.
-43, o, 2, 5
Let k = 1196 - 9569/8. Put k, -0.3, -3/26 in descending order.
-3/26, k, -0.3
Let n be 27/(-6)*1/3. Let o = -1 + 0. Put 4, o, n in increasing order.
n, o, 4
Suppose -n - 13 + 5 = -5*z, 4*n + 3*z - 14 = 0. Put -158, -5, n, 5 in decreasing order.
5, n, -5, -158
Let n = 0.9 + -1.98. Let t = n + -2.92. Sort t, -1/4, -0.06, -3 in descending order.
-0.06, -1/4, -3, t
Let a(f) = -f**2 - 6*f + 4. Suppose -3*w + 5*v - 1 = 0, -w - 3*v - 33 = 2*w. Let s be a(w). Sort s, 14, 4 in descending order.
14, 4, s
Let x be ((-404)/16 - 1) + (-3)/(-12). Put 4, 2, x in ascending order.
x, 2, 4
Let k(y) = -y**3 + 3*y**2 - 3*y + 4. Let s be k(2). Suppose s*d + 2*z + 8 = 0, -4*d = z + 4*z + 16. Sort d, 9, -0.2 in increasing order.
d, -0.2, 9
Let r(p) = 33*p**3 + 2*p**2 + 2*p + 1. Let x be r(-1). Let d = 4/17 + -2175/68. Let k = x - d. Sort 1, -0.1, k.
k, -0.1, 1
Suppose 4*v - 4 = 5*x, 4 = -2*x + 8*v - 7*v. Let u = -5 - -8. Let o = -1 + u. Sort -0.3, x, o in increasing order.
x, -0.3, o
Suppose -3*n + 6 + 9 = 0. Let g be 4/(-14) - 48/(-21). Let q be g/(-10) - 2/(-10). Sort -5, q, n.
-5, q, n
Let j = -277 - -280. Sort j, -8, 0.2, -2/3 in descending order.
j, 0.2, -2/3, -8
Let o(q) be the third derivative of q**5/60 + q**4/4 + 2*q**3/3 - 2*q**2. Let i be o(-6). Let s be ((-2)/i)/(1/(-10)). Sort 1, -5, s in decreasing order.
s, 1, -5
Let h = 0.237 + -3.167. Let p = h + -0.07. Sort 5, p, 4 in descending order.
5, 4, p
Let r(u) = -18*u + 241. Let p be r(13). Sort -5, 0, p, 2.
-5, 0, 2, p
Let k = 156.3 - 166. Let r = -81 + 91. Let c = r + k. Sort -0.01, c, 2/3 in decreasing order.
2/3, c, -0.01
Let z = -466.3 - -444. Let h = 22 + z. Suppose 4*t - n - 6 = 0, 5*n + 15 = 5. Sort h, t, -3 in increasing order.
-3, h, t
Suppose -10*v + 6*v + g + 1 = 0, 5*v = 2*g + 2. Sort 10, v, -2 in ascending order.
-2, v, 10
Let d = 0.8 - 0.8. Let i = -116 + 113. Put i, d, -0.5 in decreasing order.
d, -0.5, i
Let d(c) = -c - 24. Let r be d(-18). Let a(q) = -q - 3. Let m be a(r). Suppose -16 = -m*t + 7*t. Sort 2, 3, t.
t, 2, 3
Let r be 408/(-85) - (-4)/1. Sort r, 4, 5, -0.1 in descending order.
5, 4, -0.1, r
Let f be 54/(-12) + 5 - (-2 + (-51)/(-24)). Let o = -2 - -1.99. Put -4, f, 0.2, o in decreasing order.
f, 0.2, o, -4
Let u(f) = f**2 - f - 4. Let w be u(0). Let l be (-77)/11 - (-40)/4. Let c be (1 - -1)/((-4)/(-10)). Sort w, l, c in descending order.
c, l, w
Suppose 35*o - 140 - 35 = 0. Put -7, -2, o, 3 in increasing order.
-7, -2, 3, o
Let k = -8 + 7. Let v = 14/9 + -61/45. Put 2/7, k, v in descending order.
2/7, v, k
Let o = 5 + -5. Let u = o + 5. Suppose 34*i - 7 = 41*i. Sort u, i, -0.2 in descending order.
u, -0.2, i
Let f = 0 - 1. Suppose 0 = -16*d + 9*d - 42. Let z(k) = -2*k**2 - 11*k + 4. Let a be z(d). Put f, 4, a in increasing order.
a, f, 4
Let b be 6 + (1*-1)/(33/264). Let t(w) = -w - 2. Let p be t(-7). Suppose -p*g = -4*h - 0*h + 34, -5*g - 29 = h. Sort b, 0, g in descending order.
0, b, g
Let x be (4/6*2)/6. Let p be (-1698)/(-10) + 2 + -3. Let d = p + -168. Sort 3, d, x in descending order.
3, d, x
Let m = -2 + 6. Let y = -4.3 + m. Let x = 0.4 - -0.6. Put x, y, 2/5 in decreasing order.
x, 2/5, y
Suppose 3*s - 5 = 5*h, 0 = 3*h - 5*s - 14 + 1. Sort h, 0.39, 0.1 in descending order.
0.39, 0.1, h
Let j be (5/(-5) + -1)*(-1)/10. Let m = 65/14 + -9/2. Sort j, m, 3.
m, j, 3
Let i = 538 + -542. Sort -7, i, -2, 3.
-7, i, -2, 3
Let w(c) = 4*c - 2. Let g be w(5). Suppose 2*n + g = 48. Let v be 3/((-60)/(-35)) + 1/4. Sort -1, v, n in ascending order.
-1, v, n
Let y = -82.3 + 82. Put y, -4, 0.03 in ascending order.
-4, y, 0.03
Let u = -998 - -997. Sort -2/7, 0.03, -0.3, u in descending order.
0.03, -2/7, -0.3, u
Let n(d) = -4*d + 3. Suppose -5*b - 2*s = -3*s - 7, 9 = b - 4*s. Let q be n(b). Put -4, 2, q in descending order.
2, q, -4
Let d be (2 | {
"pile_set_name": "DM Mathematics"
} |
(z) = -z**3 - 4*z**2 + 13*z + 9. Suppose 7 = b + 13. Let v be x(b). Suppose 0*t - 5*t = -v*a + 284, -3*a + t + 304 = 0. Is a prime?
True
Let r = 21574 - 4703. Is r prime?
True
Let c = 0 - 1. Is c/(1072/1074 - 1) prime?
False
Suppose 5*o = 3*o + 8. Suppose -2*h = 4, -s - o*h + 783 = -h. Is s a prime number?
False
Let p = -4420 - -9845. Let f = p + -2952. Is f prime?
True
Let z(g) = -3 - 7 + 2 + 6*g + 1 + 9*g**3. Is z(2) prime?
False
Suppose -4*z = 2*z - 1356. Let p = z + 67. Is p prime?
True
Let b(o) be the second derivative of 4*o**4/3 - o**3/6 - 8*o**2 + 22*o. Is b(7) composite?
False
Let x(m) = 8*m + 5 + 3*m**2 - 5*m**2 + 2*m**2 + 2*m**2. Is x(9) composite?
False
Let u be 62/((2/(-2))/(4/(-1))). Let s = u + -57. Is s a prime number?
True
Let r = -6465 + 11486. Is r composite?
False
Let g(k) = -k + 10. Let r be g(7). Suppose -4*a + 7*d + 8 = 4*d, d = r*a - 6. Suppose -4*i + 844 = 4*n, 0 = -a*i - 2*i. Is n composite?
False
Let o be 1*(-3 - (-1 - 2)). Let x(n) = 9*n + o + 169*n**2 - 12*n + 5*n + 2. Is x(-1) a prime number?
False
Let l(r) = -r - 20. Let o be l(-17). Let h = o + 42. Is h composite?
True
Let x(m) = m. Let b be x(1). Let r be ((-1180)/(-4))/(0 + b). Suppose 5*f - r = t, 3*t + 62 - 3 = f. Is f composite?
False
Is 1146/4*(0 - -2) a composite number?
True
Suppose 0 = -6*w + 33764 - 4778. Is w prime?
True
Let h = 11312 + -6093. Is h composite?
True
Suppose -18*g + 37*g - 803681 = 0. Is g prime?
True
Let g(x) = -x**3 - 15*x**2 + 6*x - 21. Is g(-18) a composite number?
True
Let u = 19 + -13. Suppose u*s = 3*s + 345. Is s a composite number?
True
Suppose 105 = z - 0*z. Let n = z + 782. Is n a composite number?
False
Let r = -77 - -72. Is 1/(r/(-1280 + -5)) a composite number?
False
Suppose 4*z + 0*z = 76012. Is z a prime number?
False
Let b(d) = 2546*d - 279. Is b(5) prime?
True
Let l = -86 - -85. Is (-160 - l)*((-14)/21 - 3) a prime number?
False
Let s = 170 + -119. Suppose -2*a - 357 + s = 0. Is (7/21)/((-1)/a) composite?
True
Let k = -2 - -7. Suppose -k*b = -3*x + 12599, 3*x = 7*x - 2*b - 16780. Is x composite?
True
Suppose -4*v - 4 - 261 = -3*w, 3*w = -4*v + 281. Suppose -5*d - 2*r - 197 = 81, -20 = 5*r. Let n = w + d. Is n prime?
True
Suppose 14*m + 2*n = 13*m + 2169, 0 = 3*m + 5*n - 6502. Is m a composite number?
True
Let m be (206/2)/(7/(-35)) - 2. Let j = 754 + m. Is j composite?
True
Let s(y) = 6*y**3 + 11*y**2 - 17*y + 3. Is s(5) composite?
True
Is (603/12 + -2 + 1)*20 composite?
True
Let i = 14 + 6. Let p = 23 - i. Suppose -3*c = -6*j + j - 1417, 0 = p*c + 3*j - 1449. Is c a prime number?
True
Let b be (-27)/(-5 + (-52)/(-8)). Let h(l) be the third derivative of -l**6/120 - 4*l**5/15 + 17*l**4/24 - 5*l**3/6 - 2*l**2. Is h(b) a prime number?
True
Suppose -419*k + 95669 = -412*k. Is k composite?
True
Let b be (4/6)/(10/13605). Suppose s - 2*q + b = 0, 2*s + 1819 = 2*q + q. Is s/(-7) + (-8)/2 a prime number?
True
Let h = 3648 - 2249. Is h composite?
False
Let h = 4648 - 1807. Is h a prime number?
False
Let j(i) be the third derivative of -13*i**7/1680 + i**6/144 - i**5/15 - i**2. Let r(t) be the third derivative of j(t). Is r(-4) a prime number?
False
Let k = 23834 + -14431. Is k a composite number?
False
Let y(w) = 6*w**2 + 3*w + 38. Is y(20) prime?
False
Suppose 0 = -5*o - 3*f + 38918 + 22320, f = 1. Is o composite?
True
Let l = -10844 - -39633. Is l prime?
True
Let t(h) be the second derivative of -73*h**3/3 - 3*h**2/2 + 6*h. Let p be ((-10)/15)/(2/3). Is t(p) composite?
True
Let m = 28 + -51. Let p = m - -26. Let s(f) = 7*f**3 - f - 3. Is s(p) a prime number?
False
Let n = -34608 - -55351. Is n a prime number?
True
Let g be (-4)/3*1*21/7. Let r = g + 57. Is r composite?
False
Let c be 0/(4/6*-3). Suppose c = g - 5 + 2. Suppose -574 = -3*a + x, -2*a + g*a - 187 = -4*x. Is a a prime number?
True
Let h(d) = d - 6. Let v be h(2). Let f(s) = 12*s**3 + 2*s**2 - s - 3. Let k(c) = 13*c**3 + 3*c**2 - c - 4. Let u(n) = v*k(n) + 5*f(n). Is u(2) prime?
False
Is 3/(102/4) + (-825747)/(-527) a composite number?
False
Suppose -2*j = 3 - 9. Suppose j*c + 0*c = 2*y - 214, -5*c + 3*y = 355. Let r = 539 + c. Is r prime?
False
Suppose -24331 = -7*f - 7580. Is f prime?
True
Suppose 0 = -12*r - 0*r + 63084. Is r a prime number?
False
Suppose 3137 = -5*n + 8*n + 5*i, -i = -4. Is n prime?
True
Suppose 2*u = t + 1986, u + 4*t - 993 = 2*t. Is u composite?
True
Is -9562*7/35*(-15)/6 prime?
False
Suppose 37121 = -6*h - h. Let g = h - -2687. Let w = -1361 - g. Is w a prime number?
False
Suppose 0*j + 47815 = 5*j. Let f be j/2 + 18/36. Suppose 3*y + 3*y - f = 0. Is y composite?
False
Suppose -i + 2*u + 3601 = 0, 5*u - u - 10833 = -3*i. Is i prime?
True
Suppose 4*r = -4*l + 65316, 18*l + 65328 = 4*r + 16*l. Is r a prime number?
False
Let n be (15/2)/(1/18). Let q = n - -394. Is q a prime number?
False
Let z(f) = -f**2 + 6*f - 8. Let p be z(4). Suppose p = -3*k + 2997 - 636. Is k composite?
False
Let q = -3768 + 6662. Is q a composite number?
True
Let d be (-12)/12 - (2 - (2 + 5)). Suppose d = s, -4*k + 3053 = k - 3*s. Is k a composite number?
False
Let w = 192 + -114. Suppose 81*m = w*m + 3165. Is m a composite number?
True
Let n be (-6)/24 - 18/(-8). Let g be 698/(n - -1 - 1). Let b = g - 56. Is b a composite number?
False
Let g = -39470 - -93179. Is g prime?
False
Let t = 1000 + -693. Is t a composite number?
False
Let d = 16821 - 9898. Suppose -d = -4*h + 873. Is h a prime number?
True
Suppose 0 = -86*j + 87*j - 2474. Is j a composite number?
True
Let q = 1256 + -760. Suppose 0 = 4*r + 5*c - 1933, -r + 7*c + q = 4*c. Is r a prime number?
True
Suppose 3*o - 119 = g, 2*g = -2*o - 159 - 63. Let b = 159 + g. Is b composite?
True
Let p = 6407 - 2206. Is p prime?
True
Let y be 24/8 - 9/(-1). Suppose -3*g = -7*g + y. Suppose -2052 = -g*j - 561. Is j a prime number?
False
Let c(i) = 7 - 6*i**2 + 8*i**3 - 5*i - 1 - 5. Let s(f) = 24*f**3 - 17*f**2 - 14*f + 2. Let g(m) = 8*c(m) - 3*s(m). Is g(-2) a composite number?
True
Let s(z) = -975*z - 13. Let p be s(-4). Suppose -3*t = p + 919. Is t/15*20/(-8) composite?
True
Suppose 2600 = 2*a + 1030. Let k = 294 - 294. Suppose -m = -k*m - a. Is m composite?
True
Let m(o) = o**3 - 11*o**2 + 15*o - 5. Let k(u) = -u**2 - u - 1. Suppose -2*s - 11 = 5*d, -5*d + 6 = -2*d - 3*s. Let i(h) = d*m(h) - 2*k(h). Is i(10) prime?
False
Suppose 2*a - 7*a = -750. Suppose -a = 4*s - 626. Is s composite?
True
Suppose 40*j - 43*j + 143699 = 5*y, 2*j + 4 = 0. Is y a prime number?
False
Let m = 39 + -45. Is (1 + (-2730)/(-4))*(-12)/m composite?
False
Let p = -12 - -15. Suppose 0 = -p*q - 9, 3*l - 7*l - 2307 = q. Let x = l - -875. Is x a prime number?
False
Let m = 12 - 10. Suppose 3*b = -m*b. Suppose b = -6*k + k + 95. Is k a composite number?
False
Suppose -3*p + 3*y = 3, -3*p + y = 2*y - 17. Suppose p*f - 297 = -a, -f = -5*a + 3*a + 585. Is a a composite number?
False
Let i = -73 + 72. Is (3987/2 - i) + (-2)/4 prime?
False
Suppose 0 = -2*i - 3*l + 1, 3*l - 29 = 9*i - 4*i. Let z(r) = r**3 + 5*r**2 + 4*r + 4. Let h be z(i). Suppose 3*p - h = p, 4*p - 1524 = -4*w. Is w composite?
False
Let b(t) = 80*t**2 - 9*t - 18. Is b(-5) a composite number?
False
Suppose 2*j + 2*j = 52. Let c(q) = q**3 - 12*q**2 + 10*q + 8. Is c(j) composite?
False
Let x(a) = 1 + 6*a**3 - 8*a**3 + 6*a**2 - 10 - 2*a. Let u be x(6). Let o = 556 + u. Is o a composite number?
True
Let h(t) = t**3 - t**2 - t + 1. Let r(z) = -2*z**3 + 4*z**2 + z - 6. Let l(v) = 5*h(v) + r(v). Is l(3) composite?
False
Let o be 29 - ((-12)/3 + 5). Is (-70)/o + (-1878)/(-4) prime?
True
Let u be 4 + ((-536)/32 - (-6)/8). Is (-6652)/u*(-3 + 3 + 3) a prime number?
True
Suppose -2*s - 299 = -3*s. Is -3 + -1 + s + 2/(-1) prime?
True
Suppose 0*g - 24 = -4*g. Let u(d) = 91*d - 10. Let b be u(g). Let i = b - 199. Is i prime?
True
Let v(t) be the third derivative of -t**6/60 - t**5/20 - t**4/8 - 5*t**3/6 + 20*t**2. Is v(-6) a prime number?
True
Let r = -1974 + 2907. Is r a prime number?
False
Let k = 64 + -61. Suppose 6*p - 2*p - 14669 = 5*j, -5*p = k*j - 18364. Is p prime?
True
Suppose 5*w + 14 = -f + 254, 250 = 5*w + 3*f. Is w composite?
False
Let g(f) = -f**3 + 10*f**2 + 9*f - 5. Let n be g(6). Is (-3)/((-3)/(-2)) + n a prime number?
True
Let b(r) = -23*r + 2. Let f(s) = -s**2 - 14*s - 5. Let c be f(-1 | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of p and d?
40
Suppose 12*n - 11*n = 20. Suppose -2*o - 4*v = -86, -2*v = 2*v - n. Suppose 0 = -2*q - 10, 0 = -5*b - 4*q - 6 + 1. What is the highest common factor of o and b?
3
Let j be 25*(2/(-8) - 15/(-12)). What is the highest common divisor of j and 265?
5
Let p(d) = 8*d - 53. Let t be p(14). Let c = t + -32. Calculate the greatest common factor of 3 and c.
3
Let p(q) = q + 3. Let m = 115 + -111. Let l be p(m). What is the greatest common factor of l and 49?
7
Let u(y) = -2*y - 7. Let m be u(-6). Suppose -m*o + 0 = -140. Let s be (o/7)/((-4)/(-22)). What is the highest common factor of s and 2?
2
Suppose 3*y - 3*c = 2*y + 32, -y = c - 24. Let v = y + 18. Calculate the highest common factor of 11 and v.
11
Suppose 6*l - 2*l - 8 = 0. Let h be (2/l)/((-3)/(-6)). Suppose h - 47 = -3*q. Calculate the highest common divisor of q and 165.
15
Let x be (-2)/(-5) - 65/((-6825)/378). Suppose 5*p + 0*t = -t + 101, -4*p = 4*t - 84. What is the greatest common factor of p and x?
4
Let h(n) = n**3 + 19*n**2 + 11. Let b be h(-19). Suppose 2*w - 183 - 15 = 0. Calculate the greatest common factor of w and b.
11
Let r = 29 + 58. Suppose 5*w + 5*v = 230, 3*v - r = -4*w + 92. What is the greatest common factor of 41 and w?
41
Suppose 3*t = -421 + 1045. Let h(r) = 3*r**3 - 120*r**2 - r + 66. Let y be h(40). Calculate the highest common factor of y and t.
26
Suppose -3*d + 153 = -5*i + 3, 2*d - 2*i = 100. Suppose 3*c = 128 - d. What is the greatest common factor of 39 and c?
13
Let o(n) be the third derivative of -7*n**4/4 + 7*n**3/6 - 13*n**2. Let p be o(-2). What is the greatest common divisor of p and 13?
13
Let m = -8 - -10. Suppose m = 4*o - 58. Calculate the greatest common divisor of o and 165.
15
Suppose h + 2*h = -2*w + 19, -w - h = -7. Suppose -3*l + 53 = w*x, -5*x + 0*l = l - 113. What is the highest common divisor of x and 88?
22
Let i = -3 + 4. Suppose i + 6 = g. Suppose -4*t = -2*z - 140, -23*t + 11*t = -4*z - 420. What is the highest common divisor of t and g?
7
Suppose -9*b + 740 = -1456. Calculate the greatest common factor of b and 4.
4
Let c = -16 + -11. Let l be (-13 - c)*(0 + 4). What is the greatest common divisor of l and 7?
7
Let s(x) = 76*x - 59. Let z be s(4). Calculate the greatest common factor of z and 140.
35
Let h = -3 + 6. Suppose -4*s - 8 = 4*t, -2*t + h*s = -3*t - 6. Suppose -5*q + 55 = -t*q. Calculate the greatest common factor of 55 and q.
11
Let l(r) = 6*r**2 - 5*r + 10. Let z be l(-4). What is the highest common factor of 588 and z?
42
Let l(j) = 2*j + 18. Let x be l(-7). Suppose 3*r + 41 = 5*h, 0 = -h - x*r - r - 3. What is the greatest common divisor of 49 and h?
7
Let i(h) be the first derivative of h**3/3 + 2*h**2 - 2*h + 13. Let l be i(2). What is the highest common factor of 30 and l?
10
Let j be -14 + -2 + 1 + 0. Let f be 5/(-10) - 0 - j/2. Let l(q) = -25*q + 2. Let m be l(-3). Calculate the greatest common divisor of f and m.
7
Suppose -2*z + p + 173 = 0, 4*z + 5*p - 428 + 103 = 0. Calculate the greatest common divisor of 935 and z.
85
Let t(i) = -62*i + 2. Let u be t(1). Let w be (6/10)/((-6)/u). Suppose -b = 1, -j + 4*b = 8*b - w. What is the greatest common divisor of j and 80?
10
Suppose v = 5*t + 12, 2*v - 12 = t - 3*v. Let h be -2 - (-11 - t) - 0. Calculate the greatest common divisor of h and 49.
7
Suppose q = -26 + 42. Suppose 24 = 4*a - q. What is the highest common factor of 2 and a?
2
Let p(b) = -8*b + 8. Let q be p(-9). Suppose -15 = n + 4. Let t = n + 27. Calculate the greatest common factor of q and t.
8
Suppose 112 = -213*x + 221*x. Calculate the highest common divisor of x and 189.
7
Let y = 18 - -5. Suppose -t + 5*t = 16. Let s(m) = 2*m**2 - 9. Let l be s(t). What is the greatest common divisor of l and y?
23
Let s(r) = -r**3 + 8*r**2 - 6*r - 14. Suppose -4*g = 10*g - 84. Let o be s(g). What is the greatest common factor of o and 88?
22
Let x be ((-100)/(-15))/(10/36). Let q = -6 + 24. What is the greatest common divisor of q and x?
6
Let o = -317 + 423. Calculate the highest common factor of o and 2.
2
Let t(f) = -f**3 + 13*f**2 + 2*f + 4. Let l = 11 + -9. Let j = 11 + l. Let i be t(j). Calculate the greatest common divisor of i and 45.
15
Let m = 36 + -31. Let z be 1*(2/m + (-176)/(-10)). What is the greatest common factor of 162 and z?
18
Suppose 0 = 2*m + 4*z - 13 - 13, 3*m + 4*z = 35. Let i = 11 - m. Suppose 2*x + 2*k - 4 = -0, 4*k + i = x. Calculate the highest common factor of 2 and x.
2
Let i(b) = -b**2 + 39*b + 48. Let w be i(40). Let n = 149 - 61. What is the greatest common divisor of n and w?
8
Let u be ((-54)/8)/(22/(-528)). What is the greatest common factor of u and 27?
27
Let k(c) = c**3 - 5*c**2 - 3*c - 14. Let r be k(6). Suppose 5*o + r + 6 = -5*v, 0 = 2*v + 10. What is the highest common factor of 24 and o?
3
Let h = -906 - -911. Let j(x) = x - 6. Let s be j(8). What is the greatest common factor of h and s?
1
Suppose 0 = -f - 3*a + 80, -5*a = -3*f - 6*a + 280. What is the highest common factor of 57 and f?
19
Suppose -16 = 8*i - 6*i + 4*p, -5*p = 4*i + 23. Let m be -2 - 12/i - -26. Let n be 4/(-6) - (-32)/3. What is the greatest common divisor of m and n?
10
Let z = -271 - -103. Let u be (1/5)/(3/(-15))*z. What is the highest common factor of u and 24?
24
Suppose -a - 40 + 128 = 0. Suppose -a = 3*v - 7*v. Let c = 50 - v. What is the greatest common divisor of 42 and c?
14
Let h(u) = -u**2 + 5*u - 2. Let w be h(3). Suppose 10 = w*r - 2. Let t be r + (-1 + -1)/1. Calculate the highest common factor of 9 and t.
1
Suppose 0*p - 112 = 2*g - p, -g + 4*p = 63. Let w = g + 143. Calculate the highest common factor of 11 and w.
11
Suppose 4*j - 131 = 5*c, 0*c = j - 3*c - 31. Let b = -8 + 12. Suppose -q = 5*s - 95 + 29, 0 = -4*q - b*s + 216. What is the highest common factor of j and q?
17
Let w(l) = -2*l**3 - 10*l**2 + 9*l - 12. Let s be w(-6). What is the greatest common factor of s and 654?
6
Let g = -5 + 7. Suppose -105 = -3*y + v, 5*y - 5*v + v - 182 = 0. Suppose g*x - y = 22. What is the highest common divisor of x and 70?
14
Suppose 46 = 10*x - 14. Calculate the greatest common divisor of 10 and x.
2
Let b(w) = -w**2 + 8*w + 1. Let a be b(5). Suppose 6*n - 3*n = 1926. Let z be (1/(-2))/(4 + n/(-160)). Calculate the highest common divisor of z and a.
8
Let z be -2 - 5/20*0. Let x be 161*(1 + (-3 + 1 - z)). What is the greatest common divisor of x and 23?
23
Let y be -4 - (-8)/(1/1). Suppose 2*j - 6 = -2*b + y, -b = -4*j + 25. Calculate the greatest common factor of 2 and j.
2
Let x be 432/(-96)*(17/(-3) - -1). Calculate the greatest common factor of x and 15.
3
Let v = 72 - 71. Let c(i) = 34*i**2 + 2*i - 1. Let a be c(v). Calculate the greatest common factor of 14 and a.
7
Let c(b) = 64*b**2. Let l be c(1). Suppose 0 = m - 4*n - l, 4*m = -7*n + 2*n + 235. Suppose 6*k + m = 11*k. What is the greatest common divisor of k and 132?
12
Suppose -945 = 53*p - 4761. Calculate the highest common divisor of 40 and p.
8
Suppose 2*o + 6 = 0, -j + 2*o + 112 = -436. Let k = 6 + -1. Suppose k*i - j = -102. Calculate the greatest common factor of 8 and i.
8
Let n be 365/20*4 + -1. What is the highest common divisor of 24 and n?
24
Let w be (-5*(-15)/25 - -28)*1. Calculate the highest common factor of w and 7.
1
Let a = -15 - -25. Let m be (-4204)/(-6) - a/15. Let d be m/22 - (-10)/55. What is the highest common factor of 8 and d?
8
Suppose -35*s = -16*s - 760. Calculate the highest common divisor of 80 and s.
40
Suppose -l + 12*l = 44. Suppose -3*o + 46 = -2*b, -5*b + 36 = l*o - 10. What is the highest common divisor of o and 35?
7
Suppose 38*h - 34*h = -8. Let t be (-336)/36*h*6. What is the highest common factor of t and 28?
28
Let f(o) = o**3 + 16*o**2 + 19*o - 32. Let u be f(-13). Calculate the greatest common factor of u and 12.
12
Let c(v) = v**2 + 29*v - 237. Let t be c(8). What is the highest common divisor of t and 1?
1
Suppose 6*k = -n + 3*k + 60, 0 = -k. Let d = -4737 - -4817. Calculate the highest common factor of n and d.
20
Let n be 2*-1*90/(-4). Let g(w) = -15*w - 71. Let u be g(-5). Suppose -4*o - 16 = 0, 8*y - u*o - 26 = 6*y. Calculate the greatest common divisor of n and y.
5
Let r(w) = -w**3 - 8*w**2 - 9*w - 2. Let d = -3 + -4. Let z be r(d). Calculate the h | {
"pile_set_name": "DM Mathematics"
} |
9
List the prime factors of 87416043.
3, 11, 13, 203767
List the prime factors of 59596452.
2, 3, 41, 43, 313
List the prime factors of 1008959549.
13, 37, 2097629
What are the prime factors of 90562444?
2, 7, 3234373
List the prime factors of 563601320.
2, 5, 67, 210299
List the prime factors of 4608344963.
29, 8887, 17881
What are the prime factors of 171447532?
2, 1597, 26839
List the prime factors of 73955102.
2, 13, 2844427
List the prime factors of 18920277.
3, 700751
What are the prime factors of 631903774?
2, 315951887
List the prime factors of 2653221096.
2, 3, 827, 4951
What are the prime factors of 40020649?
40020649
List the prime factors of 4204724803.
4204724803
List the prime factors of 3044659722.
2, 3, 13, 109, 163
What are the prime factors of 319212504?
2, 3, 13, 257, 1327
List the prime factors of 338476099.
13, 71, 366713
List the prime factors of 1311822301.
19, 69043279
List the prime factors of 57718417.
17, 211, 16091
What are the prime factors of 122841653?
11, 11167423
List the prime factors of 4547103503.
19, 281, 851677
What are the prime factors of 147993962?
2, 71, 1042211
What are the prime factors of 1532176686?
2, 3, 1609, 52903
List the prime factors of 24045995.
5, 151, 31849
What are the prime factors of 258865665?
3, 5, 73, 236407
What are the prime factors of 275407741?
7, 61, 89, 7247
What are the prime factors of 105166525?
5, 199, 21139
List the prime factors of 707292482.
2, 13, 191, 142427
What are the prime factors of 229371038?
2, 13, 17, 71, 7309
What are the prime factors of 444713760?
2, 3, 5, 113, 911
List the prime factors of 664690936.
2, 7, 13, 913037
List the prime factors of 1242820796.
2, 7, 44386457
What are the prime factors of 95141147?
95141147
List the prime factors of 40196400.
2, 3, 5, 19, 41, 43
List the prime factors of 46729271.
73, 640127
List the prime factors of 5590691004.
2, 3, 465890917
List the prime factors of 1070191497.
3, 17, 20984147
What are the prime factors of 23579307?
3, 787, 3329
List the prime factors of 12546626.
2, 37, 43, 3943
What are the prime factors of 5561184?
2, 3, 53, 1093
What are the prime factors of 78097779?
3, 17, 53, 9631
List the prime factors of 250558236.
2, 3, 6959951
List the prime factors of 287806737.
3, 19, 5049241
List the prime factors of 31938712.
2, 13, 307103
List the prime factors of 207332138.
2, 13, 809, 9857
List the prime factors of 361779885.
3, 5, 383, 6997
What are the prime factors of 191653751?
10501, 18251
List the prime factors of 72869791.
149, 479, 1021
What are the prime factors of 282802781?
9769, 28949
List the prime factors of 49192707.
3, 277, 59197
What are the prime factors of 82425279?
3, 29, 947417
List the prime factors of 22695311.
22695311
List the prime factors of 13427165.
5, 71, 109, 347
List the prime factors of 1519973124.
2, 3, 23, 1229, 4481
List the prime factors of 671642324.
2, 17, 19, 101, 5147
List the prime factors of 10076035.
5, 443, 4549
List the prime factors of 224664441.
3, 74888147
List the prime factors of 24339678.
2, 3, 11, 368783
What are the prime factors of 1894948915?
5, 378989783
List the prime factors of 226609949.
17, 13329997
List the prime factors of 174632070.
2, 3, 5, 5821069
List the prime factors of 116949708.
2, 3, 3248603
What are the prime factors of 5131821379?
73, 131, 536633
List the prime factors of 70289313.
3, 23429771
What are the prime factors of 239194293?
3, 13, 6133187
List the prime factors of 5291092563.
3, 17, 167, 621239
What are the prime factors of 59545030?
2, 5, 83, 71741
What are the prime factors of 283026719?
283026719
List the prime factors of 526108044.
2, 3, 7, 11, 17, 33493
What are the prime factors of 399228322?
2, 113, 293, 6029
What are the prime factors of 2666283165?
3, 5, 7, 13, 23, 28309
List the prime factors of 8080168.
2, 17, 19, 53, 59
What are the prime factors of 1635961783?
79, 20708377
What are the prime factors of 144101434?
2, 19, 1033, 3671
What are the prime factors of 20177608?
2, 11, 167, 1373
What are the prime factors of 2800064298?
2, 3, 23, 359, 56519
List the prime factors of 7489188088.
2, 936148511
List the prime factors of 185638973.
13, 137, 104233
List the prime factors of 4946027.
4946027
List the prime factors of 2456987.
13, 188999
What are the prime factors of 105484684?
2, 59, 446969
List the prime factors of 1312383632.
2, 7, 29, 47, 8597
What are the prime factors of 3512264244?
2, 3, 10663, 27449
List the prime factors of 1650356485.
5, 330071297
What are the prime factors of 250723160?
2, 5, 263, 23833
List the prime factors of 14282838.
2, 3, 59, 4483
What are the prime factors of 1212985536?
2, 3, 7, 19, 47501
What are the prime factors of 21550771?
11, 1959161
What are the prime factors of 4182615303?
3, 1051, 1326551
What are the prime factors of 127949550?
2, 3, 5, 852997
What are the prime factors of 64185986?
2, 349, 91957
What are the prime factors of 71243996?
2, 19, 937421
What are the prime factors of 287919149?
7, 5875901
What are the prime factors of 18333964?
2, 11, 269, 1549
What are the prime factors of 4040112?
2, 3, 73, 1153
List the prime factors of 102363576.
2, 3, 7, 609307
List the prime factors of 170205493.
170205493
List the prime factors of 1872037163.
37, 41, 1234039
What are the prime factors of 642265402?
2, 281, 1142821
What are the prime factors of 19794085?
5, 3958817
List the prime factors of 49812661.
19, 61, 42979
List the prime factors of 517089781.
13, 2797, 14221
What are the prime factors of 3364705246?
2, 7, 17, 683, 2957
List the prime factors of 4111189939.
1201, 3423139
What are the prime factors of 254084500?
2, 5, 193, 2633
What are the prime factors of 2808621?
3, 17, 29, 211
List the prime factors of 170462087.
29, 31, 189613
What are the prime factors of 2076974940?
2, 3, 5, 197, 199, 883
What are the prime factors of 3306567094?
2, 1217, 1358491
What are the prime factors of 2097617754?
2, 3, 5309, 65851
What are the prime factors of 151170503?
11, 1249343
List the prime factors of 699066793.
2663, 262511
What are the prime factors of 120345923?
71, 457, 3709
What are the prime factors of 76731102?
2, 3, 7, 608977
List the prime factors of 46123855.
5, 23, 401077
What are the prime factors of 149290691?
11, 1289, 10529
What are the prime factors of 146147792?
2, 7, 131, 1423
List the prime factors of 1032939374.
2, 337, 1532551
List the prime factors of 78385439.
11, 7125949
List the prime factors of 226042143.
3, 41, 1837741
What are the prime factors of 442521786?
2, 3, 7, 113, 93241
What are the prime factors of 3735701138?
2, 13, 3229, 44497
What are the prime factors of 5383029070?
2, 5, 8629, 62383
What are the prime factors of 1409705025?
3, 5, 17, 1105651
List the prime factors of 1027119816.
2, 3, 14265553
List the prime factors of 11680431.
3, 7, 556211
List the prime factors of 354943.
17, 20879
What are the prime factors of 88452961?
19, 4655419
List the prime factors of 18939297.
3, 13, 181, 2683
List the prime factors of 178111864.
2, 7, 31, 14657
List the prime factors of 50528327.
50528327
List the prime factors of 71601175.
5, 487, 5881
What are the prime factors of 437437557?
3, 17, 953023
What are the prime factors of 331458799?
7, 79, 599383
What are the prime factors of 560272245?
3, 5, 13, 193, 14887
List the prime factors of 146621914.
2, 191, 463, 829
What are the prime factors of 7157178?
2, 3, 7, 43, 1321
List the prime factors of 417800536.
2, 127, 173, 2377
What are the prime factors of 77449535?
5, 17, 911171
What are the prime factors of 5382208811?
7, 37, 20780729
What are the prime factors of 54682856?
2, 53, 128969
What are the prime factors of 402088920?
2, 3, 5, 3350741
What are the prime factors of 303002116?
2, 75750529
List the prime factors of 48444437.
48444437
List the prime factors of 22401091.
61, 367231
List the prime factors of 2721690.
2, 3, 5, 30241
List the prime factors of 22861837.
22861837
List the prime factors of 177588961.
11, 16144451
List the prime factors of 239867353.
11, 21806123
List the prime factors of 1002809500.
2, 5, 7, 11, 61
List the prime factors of 45834793.
173, 307, 863
List the prime factors of 158385665.
5, 31, 41, 24923
List the prime factors of 92111954.
2, 11, 4186907
List t | {
"pile_set_name": "DM Mathematics"
} |
y 15.1736 and -0.4.
-6.06944
Product of -189846 and -0.3.
56953.8
What is the product of -66000 and -0.2?
13200
What is -0.086011 times -15?
1.290165
0.083 times -3
-0.249
Multiply -1.611 and 0.0677.
-0.1090647
-0.01 times 0.0925
-0.000925
Product of -0.430112 and -0.5.
0.215056
Multiply 0.24089 and 0.16.
0.0385424
-3 times -56517
169551
1.06067*0.2
0.212134
-834.9 times -22
18367.8
-957 * -89
85173
-257.7857 times 1
-257.7857
Product of -0.3 and 120508.
-36152.4
Product of -0.286 and 178.
-50.908
Product of 6 and -0.6767.
-4.0602
-324.674*-1
324.674
Calculate -76308*-0.5.
38154
-0.02*15815
-316.3
Work out 634 * -0.09208.
-58.37872
71 * 779
55309
What is 0.2265 times 3.33?
0.754245
Calculate -0.226*-0.1278.
0.0288828
-72203 times 0.05
-3610.15
What is the product of -381.85 and 0.2?
-76.37
What is 0.4 times 0.7881?
0.31524
Work out 181 * -555.
-100455
What is 0.078 times -1233?
-96.174
What is the product of 131 and 10269?
1345239
Work out -1868919 * 3.
-5606757
-29918 * -17
508606
What is the product of -0.2 and 0.30979?
-0.061958
Work out -0.6 * 280612.
-168367.2
What is 2 times -584851?
-1169702
What is -34 times 0.0538?
-1.8292
What is the product of -53.93 and -4?
215.72
Product of -56048 and -0.03.
1681.44
Calculate 107*204.
21828
1274522 times 0.3
382356.6
Multiply -1.07 and -0.05204.
0.0556828
Calculate -231*-1637.
378147
What is the product of 5790450 and -0.5?
-2895225
What is 56 times 2.3558?
131.9248
Product of 0.695 and -0.155.
-0.107725
Product of -4.0595 and -5.
20.2975
What is 4717 times 0.9?
4245.3
Calculate -53262*-11.
585882
Work out -5 * 594782.
-2973910
What is the product of 5.5 and 0.3225?
1.77375
-17 times 204.9
-3483.3
Multiply -0.2 and -6.19.
1.238
What is -7801 times -3?
23403
What is 1 times 363408?
363408
-1980 * 2
-3960
Multiply 5189 and 0.8.
4151.2
Work out 0.06 * 1.1156.
0.066936
What is -46419 times -0.4?
18567.6
Product of -521 and 183.
-95343
Work out -0.33 * 0.06092.
-0.0201036
What is 86925 times -2.4?
-208620
6831*-0.12
-819.72
Product of 0.02 and -3881.
-77.62
Calculate 0.02214*0.5.
0.01107
What is the product of 181.12 and 0.051?
9.23712
Product of -0.1 and 353245.
-35324.5
3 times -59756
-179268
Product of 105833 and -3.
-317499
What is -3859 times 0.06?
-231.54
What is 103033 times 3?
309099
Work out -50 * 1522.
-76100
Product of -212 and 782.
-165784
267 * -31
-8277
0.5 * -279.848
-139.924
-4150.9 times -0.001
4.1509
Product of 20539 and -3.
-61617
-51 * -61
3111
What is the product of 572 and -0.92?
-526.24
Work out 7818 * -3.
-23454
Product of 0.5 and 29557.
14778.5
1*13432
13432
Multiply 426 and 10.1.
4302.6
Product of -13932 and 5.
-69660
Calculate 0.2*38988.
7797.6
What is -13.3716 times -0.4?
5.34864
-12.191*5
-60.955
Work out -417435 * -0.4.
166974
Multiply 0.1 and -0.252969.
-0.0252969
Calculate 2.9895*-31.
-92.6745
43 * -5.512
-237.016
4.56*2502
11409.12
Calculate -2313*23.
-53199
Calculate -3*-341107.
1023321
Work out 0.024 * -65.
-1.56
Work out -71 * 131.
-9301
Multiply -985 and 0.0939.
-92.4915
13*-11.32
-147.16
Calculate 0*-74548.
0
What is -28 times 180.433?
-5052.124
3*5.19179
15.57537
What is the product of -14.2 and -4615?
65533
Work out 97323.5 * 1.
97323.5
Product of 0.5 and 0.9096.
0.4548
Calculate 4*-4.167.
-16.668
What is -3.31594 times -0.4?
1.326376
Product of 21839 and -3.
-65517
What is the product of 0.74 and 244.49?
180.9226
Multiply 5.25 and 1774.
9313.5
Multiply -0.08 and 109956.
-8796.48
-8.18*-3.4
27.812
Multiply -1.702921 and 0.2.
-0.3405842
What is 10069 times 20?
201380
Multiply -45039 and 4.
-180156
-0.02 * 153.487
-3.06974
0.54 * -0.2645
-0.14283
8.70422*-1
-8.70422
-5559 times -5
27795
Calculate -1382612*-0.3.
414783.6
-2004*7
-14028
0.3 * 511.74
153.522
Product of 1 and -0.33057.
-0.33057
1.3 * 8367
10877.1
-218.3 times 5.5
-1200.65
Calculate 2714.55*0.1.
271.455
Multiply -19338 and 10.
-193380
Multiply 0.922 and -0.16.
-0.14752
4.721 times -0.2
-0.9442
2.4*-26.9867
-64.76808
-0.04*0.554
-0.02216
Multiply -1.2312 and 15.
-18.468
What is -802 times 363?
-291126
What is the product of 610188 and -4?
-2440752
-0.0083 * -580
4.814
What is -0.4 times 180795?
-72318
Work out 0.1 * 6.3173.
0.63173
Multiply 689 and 40.
27560
What is the product of -320 and 14.8?
-4736
Product of 3799 and -0.1.
-379.9
Calculate 16*-967.
-15472
-3 * -837
2511
-2*-8.687
17.374
0.01*-8997
-89.97
What is 0.495 times 1.9?
0.9405
Product of 2 and 0.06794.
0.13588
What is the product of 1000 and -3?
-3000
Multiply 217.84 and 0.1.
21.784
Multiply -167 and -2826.
471942
-23 * -13.87
319.01
Work out 7 * 1284.
8988
What is the product of 1200 and 114?
136800
9346 * 2.82
26355.72
Multiply 0.4 and 42.6233.
17.04932
What is the product of -4 and 1.165?
-4.66
Work out -0.2699 * 1.8.
-0.48582
What is the product of -72274 and -4?
289096
What is 22206.5 times 4?
88826
What is 319.459 times -4?
-1277.836
Work out -66.8 * 44.
-2939.2
-766.2 times -10
7662
Product of -0.0899 and -0.69.
0.062031
Calculate -1542.3*2.
-3084.6
-0.5*161.889
-80.9445
What is the product of 1.5 and -0.3501?
-0.52515
What is -72124 times 14?
-1009736
What is the product of 5 and -134210?
-671050
0.09 * 10883
979.47
Product of 1139 and 1346.
1533094
-1.79 * 2.154
-3.85566
Calculate -1056835*-4.
4227340
Calculate -158.12*-2.6.
411.112
Product of -641 and -8.
5128
-0.3 * 104079
-31223.7
Calculate -3.522*1.8.
-6.3396
0.02229 times -101
-2.25129
What is 0.308043 times 0.5?
0.1540215
Multiply 1 and -5331.7.
-5331.7
Multiply 3 and 2.0883.
6.2649
Product of 0.0407 and -2213.
-90.0691
Product of -53.5555 and -0.2.
10.7111
0.1166 times 22
2.5652
Calculate 0.3*168644.
50593.2
What is the product of 4 and 290?
1160
Work out 11047 * 0.3.
3314.1
1877.5 * -0.1
-187.75
Work out 0 * -16431.
0
-0.13179 times -122
16.07838
Work out 103 * -0.301.
-31.003
What is the product of -1.8 and -14191?
25543.8
732.6*2
1465.2
What is -0.3 times -14313?
4293.9
Calculate 1274*6264.
7980336
What is the product of -3 and 4468?
-13404
4 times -3795
-15180
9.07*2.2
19.954
Calculate -0.03*23383.
-701.49
Multiply -3718 and -0.3.
1115.4
What is 2 times -295.52?
-591.04
-0.09 times 3148
-283.32
-217*-44
9548
Product of 3799 and 0.
0
Multiply -0.00908 and -2.5.
0.0227
0*0.6919
0
Calculate -0.1867607*-0.3.
0.05602821
928 * 0.3
278.4
Multiply -0.034 and 2.12.
-0.07208
Multiply 0 and 80.11.
0
217188 times 0
0
Calculate 7*-2.9818.
-20.8726
What is 49825 times 5?
249125
0.066 times 32586
2150.676
-1413.209*-3
4239.627
168*941
158088
-69*-831
57339
What is 0.08 times -6002?
-480.16
0.2*-28053
-5610.6
5 * 3.2685
16.3425
-42 times 79
-3318
Product of -9 and 398.
-3582
Calculate -0.104*22922.
-2383.888
What is 111 times -4224?
-468864
Work out 114 * -0.098.
-11.172
Multiply 0.5545 and -28.
-15.526
Work out 19 * -2.22695.
-42.31205
What is 0.1 times -5180?
-518
0.9 times 3454.7
3109.23
-15.714*0.1
-1.5714
Product of -493 and 2.685.
-1323.705
What is the product of 0.061 and -41423?
-2526.803
What is 3 times 15.8531?
47.5593
Work out -423 * -23.7.
10025.1
Work out 0.319546 * 0.5.
0.159773
Calculate -113239*-0.2.
22647.8
Product of 5 and 0.383952.
1.91976
What is 111100 times -5?
-555500
Multiply -8.26 and -105.
867.3
Multiply 34 and 144.
4896
Product of 17 and 6601.
112217
What is 0.5 times 0.11166?
0.05583
Calculate 63*-0.0402.
-2.5326
Calculate 4*0.013897.
0.055588
What is 0.08 times -1621?
-129.68
Product of -178804 and -1.
178804
-5316*-6
31896
81 times 98
7938
-1 times -0.117451
0.117451
Product of -110 and -2.053.
225.83
What is 343390 times -0.5?
-171695
172127 times 2
344254
What is -0.4 times 181361?
-72544.4
-6 times 44310
-265860
Product of -138 and -9.07.
1251.66
Product of 167.7 and 0.047.
7.8819
Product of 87295 and 0.2.
17459
-0.01 * -415.99
4.1599
0 times -331.382
0
Product of 25256 and -5.3.
-133856.8
0.736*-1.36
-1.00096
-0.2 times 278.545
-55.709
-4*0.2801
-1.1204
Calculate 1.2*85.73.
102.876
Product of 0.1164673 and 0.
0
-16*-388.3
6212.8
What is -0.4 times -2997.72?
1199.088
Calculate 245.5*-2398.
-588709
Work out 101 * -197.3.
-19927.3
1.19 times -66
-78.54
What is the product of -21.5 and 0.0001?
-0.00215
What is the product of 16.6 and -69?
-1145.4
Work out 1.1 * 380.
418
0.2*-42526
-8505.2
Calculate 4*-10810.
-43240
-94 * -29.2
2744.8
-0.325*170
-55.25
M | {
"pile_set_name": "DM Mathematics"
} |
*o + 40 = 4*c. Suppose -c*u = p + 4*p + 60, -3*u - 8 = -4*p. Let t(j) = 2*j**2 + 12*j - 6. What is the units digit of t(u)?
6
Let g(z) = 59*z - 34. Let c be g(6). Let o = c - 114. What is the units digit of o?
6
Let g = 13 - 9. Suppose 5*q + d = 467, 0 = 3*q + 8*d - g*d - 287. What is the tens digit of q?
9
Let c = -6 - -42. Let v = c - 9. What is the units digit of v?
7
Let d be 46/(-4)*(-6)/3. Suppose -d = -4*g + 13. What is the units digit of 3/g - (-104)/12?
9
Suppose 0 = z + 3*d - 2663, z + 12*d - 15*d - 2651 = 0. What is the units digit of z?
7
Let p be 8*(5/(-2) + 3). Suppose -p*x = 4*v + 8, 4 = x + 3*x + v. Suppose -3*o = m - 22, 0*m = 5*m - x*o - 25. What is the units digit of m?
7
Suppose 3*x + 5*l - 1802 = -479, 2168 = 5*x - 4*l. What is the tens digit of x?
3
Let t = -2 + 5. Let f = t + 2. Suppose -4*n + 0*b = 3*b - 156, 124 = 4*n - f*b. What is the tens digit of n?
3
Let c = -14 + 5. Let f be c/(-6) - 1/(-2). Suppose 4*z - 41 = z + i, -2*i + f = z. What is the tens digit of z?
1
Let i = 51 - 47. Suppose 3*h - 3*b = -4*b + 472, -i*h + 638 = -3*b. What is the units digit of h?
8
Let f(k) = 26*k - 3. Let y(r) = -805*r + 92. Let i(c) = -92*f(c) - 3*y(c). What is the tens digit of i(2)?
4
Let o(h) be the second derivative of h**5/20 - 17*h**4/12 - 8*h**3/3 - h**2/2 - 4*h. What is the units digit of o(18)?
5
Let l be (-132)/(-108) + (-2)/9. Let m(u) = 147*u**2 - u + 1. Let r be m(l). Suppose -4*y + 61 = -r. What is the tens digit of y?
5
Suppose 2*n = -4*g - 4, 0 = -3*n + 5*g - 3*g + 2. Suppose 435 = 4*a + 3*q, n = 2*a - 3*q - 68 - 127. What is the units digit of a?
5
Let n(c) be the third derivative of -c**5/60 - c**4/3 - 7*c**3/6 + 9*c**2. Let l be n(-7). Suppose 2*b - 68 = -l*b. What is the tens digit of b?
3
Let w = -91 - -70. Let y(d) = -d**2 - 26*d + 27. What is the hundreds digit of y(w)?
1
Let g(t) = -5*t + t + 6*t - 1. Let b be g(3). What is the units digit of (b - 0)*-1*-3?
5
Suppose -l + 6*l + 275 = 0. Let x = 54 - l. What is the hundreds digit of x?
1
Let m(o) = 5*o - 3*o + o - 2*o. Let a be m(1). What is the units digit of (-48)/(-40) + a/(-5)?
1
Suppose 4*a + 302 = 6*a + 5*y, 0 = -5*a - 3*y + 755. What is the tens digit of a?
5
What is the tens digit of (1003 - 8)*3/5?
9
Let u(j) = -j**3 - 15*j**2 + 8*j + 5. Let i be u(-16). Let l be i/(-9) - 4/18. Let h = l - -28. What is the tens digit of h?
1
Let o = 33 + -33. Suppose o = -r, 107 = 2*t - t - r. Suppose -3*y + 6*y - t = -5*x, -4*y - 3*x + 139 = 0. What is the tens digit of y?
3
Let x be (-27)/(-2)*12/9. Let l be (-9)/(-2)*12/x. What is the units digit of 28*1 + l + -2?
9
Suppose 4*h + 5*w = 2928, 2*w = -14*h + 19*h - 3693. What is the hundreds digit of h?
7
Suppose -u + x = 2, 2*u + 2*x = 7*u + 4. Suppose -4*j - 54 + 302 = u. What is the units digit of j?
2
Suppose 0 = -5*o + 2*p - 0*p + 88, 2*o - 4*p = 48. Let n = o + 2. Suppose 50 = 5*d - 2*w - n, -4*w = 2*d - 8. What is the units digit of d?
2
Let i be (-12)/54 - 3026/(-9). Suppose 3*w - i = -w. What is the tens digit of 0/(-4) + w/4?
2
What is the units digit of (-5)/45*-3 + (-4497)/(-9)?
0
Suppose -27*n = 14*n - 12546. What is the tens digit of n?
0
Let r = 25 + -12. Let q = r + -10. Suppose 2*g + 3*g = q*s - 80, 2*s - 44 = g. What is the units digit of s?
0
Suppose -4*k + 16 = 0, -4*w - 1621 = -5*k - 8725. What is the thousands digit of w?
1
Let p(x) = -x**3 + 19*x**2 - 8*x - 9. What is the tens digit of p(6)?
1
Suppose -3*i - 29 = -35. Suppose -15 = 3*f, 2*w = i*f - 0*f + 34. What is the units digit of w?
2
Let r be -9 + ((-6)/3 - -2). Let l = r + 9. Suppose -3*i + 13 + 14 = l. What is the units digit of i?
9
Suppose -6*w + 3*d + 3212 = -w, 0 = 5*w + 4*d - 3219. What is the tens digit of w?
4
Let z be 2 - 3 - (0 + (0 - -1)). Let s(d) = -18*d**3 + 5*d**2 + d + 1. What is the units digit of s(z)?
3
Let s(m) = 20*m - 8. Suppose 12 = 5*i - 3*g - 21, -2*i = 3*g - 9. Let h(q) = q - 1. Let o(l) = i*h(l) - s(l). What is the tens digit of o(-1)?
1
Suppose -4 = 4*a - m, 5*a + 0*m - 12 = -3*m. Suppose a = 5*d, -249 = -5*s - 4*d + 166. What is the units digit of s?
3
Let f(i) = 15*i**3 + 2*i**2 + 7*i - 9. Let w(l) = 5*l**3 + l**2 + 2*l - 3. Let j(n) = 4*f(n) - 11*w(n). What is the tens digit of j(2)?
3
Suppose 11*l - 3*l = 1584. Suppose 9*o - l = 8*o. What is the hundreds digit of o?
1
Suppose 5*i + 206 = m, 3*m - 4*m + 4*i + 207 = 0. What is the tens digit of m?
1
Let u(r) = 4*r**3 + 5*r**2 + 4*r - 10. Let g be u(5). Suppose 6*a = 11*a - g. What is the hundreds digit of a?
1
Let p(x) = -4*x + 103. What is the units digit of p(-14)?
9
Let b(d) = -61*d + 6. Let l be b(-1). Suppose -3*t = 4*x - 29, 4*t = -3*x + t + 24. Suppose 5*n - l = -4*f, 70 = x*n - 2*f + 21. What is the units digit of n?
1
Suppose 3*t = -2*t. Suppose t = -f + 3*f. Suppose f = -0*x + 2*x - a - 10, 0 = -x - 2*a - 5. What is the units digit of x?
3
Let j be -2*(5/10 - 0). What is the hundreds digit of j/1*(-4)/(-2) + 109?
1
Let z = 1 - -23. Let t be (z/(-9))/(4/(-6)). Suppose 2*k = -a + 22, -3*a + t*k = -7*a + 88. What is the tens digit of a?
2
Let n(h) = -h**2 - 11*h - 15. Let i be n(-9). Let b(t) = 18*t + 27. What is the tens digit of b(i)?
8
Let b(u) = u**2 - 4*u - 7. Suppose -3*j + 0*w - w + 3 = 0, -3*j + 4*w = -3. Let c(z) = 8*z**2 - z - 1. Let x be c(j). What is the units digit of b(x)?
5
Let a(d) be the first derivative of 31*d**2 - 15*d + 4. What is the units digit of a(2)?
9
What is the tens digit of (-2 - 1424/6)/(10/(-15))?
5
What is the tens digit of 390756/75 - (-78)/(-975)?
1
Let q(o) = -7*o - 3. Let x be -1*2/1*3. Let t be q(x). Suppose 49 = 2*s - 5*d, 0*s - 4*d = 3*s - t. What is the tens digit of s?
1
Suppose -5*d + 8017 = 7*f - 4*f, -6*f - 2*d = -15994. What is the hundreds digit of f?
6
Suppose 0 = -22*n - 17*n + 108888. What is the units digit of n?
2
Suppose -4*c + 36 - 20 = 0. What is the tens digit of (2 + 21)/(4/48*c)?
6
Suppose 3*z + 1534 = s, 4*z = 2*s - 282 - 2776. What is the tens digit of s?
1
Let b = 747 + -1357. Let y = b - -886. What is the tens digit of y?
7
Let a = -18 + -32. What is the tens digit of a/(-3)*(-3)/(-2)?
2
Let j(o) = 309*o**2 + o + 4. Let b be j(2). Suppose -i = -10*i + b. What is the tens digit of i?
3
Suppose 2474 + 46 = 6*t. What is the hundreds digit of t?
4
Let s(o) = -o - 24. Let p(b) = 5*b + b + 0*b - 3*b + 73. Let d(i) = -2*p(i) - 7*s(i). What is the tens digit of d(-12)?
1
Suppose -7*r + 5*r = -2288. What is the units digit of r?
4
Suppose 5*f - 4592 = 2*x, 1848 = 2*f - 44*x + 46*x. What is the hundreds digit of f?
9
Suppose 290 = 3*z - 406. What is the tens digit of z?
3
What is the hundreds digit of 1*5/5*(1 + 313)?
3
What is the tens digit of 36/27*(-534)/(-4)?
7
Let w = 316 + -471. Let t = w + 287. What is the hundreds digit of t?
1
Suppose a - 10 + 23 = 0. Let j be (a/3)/(2/(-18)). Suppose -m - j = -4*m. What is the units digit of m?
3
Suppose 75 = -4*u + u. Let b = -20 - u. Suppose 21 + 169 = b*g. What is the units digit of g?
8
Let f(t) = -t**3 - 9*t**2 - 7*t + 8. Let o be f(-8). Suppose 3*c = -5*v - 0*v + 32, o = 2*c + 3*v - 22. Let q(w) = w + 5. What is the units digit of q(c)?
9
Let p(b) = 2*b**3 + 9 - 1 + 8*b**2 - b**3 + b. Let j be p(-8). What is the units digit of -2*3/(-6) + j?
1
Let g be 979/(-33) + (-4)/(-6). Let o = g - -47. What is the units digit of o?
8
Let y = -1912 + 5118. What is the thousands digit of y?
3
Let g = -28 - -47. Let p = g - -22. What is the tens digit of p?
4
What is the thousands digit of (-137752)/(-32) - 12/16?
4
Suppose -i + 2*u + 457 = 0, 2*u = -5*i - u + 2350. What is the tens digit of i?
6
Let n = -77 - -46. Let u = n + 94. What is the tens digit of u?
6
Suppose 5*h - 26 - 25 = -2*n, -9 = -3*n. Suppose d + 125 = 2*b, -b + 40 = -h*d + 4*d. What is the tens digit of b?
6
Let a(p) = p - 2. Let n be a(7). Let l = n - 3. What is the tens digit of (-24)/(l/(-8)*6)?
1
Let y = 560 + 128. What is the hundreds digit of y?
6
Suppose -n + 3*x + 675 = 0, -2*n = 3*x - 195 - 1128. What is the tens digit of n?
6
Suppose -20 = 85*p - 90*p. What is the units digit of (p/(-12) - -1)*54?
6
Let r(j) = 3*j**3 - 4*j**2 - 3*j + 4. What is the tens digit of r(6)?
9
What is the units digit of 113 - (11 - 5 - 5)?
2
Let l be 595 - (-2 - 15/(-9))*-9. Suppose 0 = 54*g - 50*g - l. Wha | {
"pile_set_name": "DM Mathematics"
} |
-3*b**3 - 9*b**2 - b + 7. Let r(s) = 2*c(s) + 7*v(s). What are the prime factors of r(-7)?
2
Suppose 52 = 4*h - 0. List the prime factors of h.
13
Let y(b) = -b**2 + 4*b + 6. Let c be y(7). Let i = c - -27. Let t = i - 6. List the prime factors of t.
2, 3
Suppose 1 = 4*f - 3*k, -k + 5 = 3*f + k. List the prime factors of (f/3)/((-11)/(-363)).
11
Suppose -3*v - v - 5*j = -270, v - 59 = 3*j. List the prime factors of v.
5, 13
What are the prime factors of 660/6 - (0 + 5)?
3, 5, 7
Let d be 4 + 8 + -1 + 2. Let k = 13 + d. What are the prime factors of k?
2, 13
Let k(v) = -5*v + 88. List the prime factors of k(-27).
223
Let y(p) = 3*p + 36. What are the prime factors of y(15)?
3
Suppose -r + 28 = -2*r. Let z = r + 46. List the prime factors of z.
2, 3
Let k be (3/6)/((-2)/16). Let f = 28 + k. List the prime factors of f.
2, 3
Suppose -3*s - s + 380 = 0. What are the prime factors of s?
5, 19
Let g(l) = 6*l**3 - 1. Let f be g(1). Let z = 27 + -24. Suppose z*t + 0*t + 41 = 4*w, f*t = -2*w + 53. List the prime factors of w.
2, 7
Let w(p) = 2*p - 7. Let u(d) = d - 2. Let k be u(7). Let q be w(k). Suppose t - q = -0*t. What are the prime factors of t?
3
Suppose b - 4*b - 2*n - 1 = 0, 4*n = -5*b - 5. Suppose 7*r - 2*u = 2*r + 77, 3*r - u - 46 = 0. Suppose b*h + r = 42. List the prime factors of h.
3
Let d(v) = v**3 + 8*v**2 + 5*v + 9. Let r = 5 + -11. Let c be d(r). Suppose -5*l - 3*t = -c, -l = -0*l - 3*t - 3. What are the prime factors of l?
3
Let v be (-2)/(-9) + (-318)/(-27). List the prime factors of (-20)/(-8)*v/5.
2, 3
Suppose 4*a = 8 - 32. Let c = -3 - a. Suppose 3*j - 4*j + c*h = -18, -2*j - 14 = 4*h. List the prime factors of j.
3
Let f be 10/(-15) - 16/(-6). Suppose 0 = -f*w + 9 + 17. What are the prime factors of w?
13
Suppose 5*f = -20, -b + 4*f = 4*b - 21. What are the prime factors of (2 - -8) + -1 + b?
2, 5
Let k(y) = -y**3 - 6*y**2 - 4*y. Let z be k(-5). Let g = z - -21. What are the prime factors of g?
2
Let m = -3 + 7. Let x = -13 + 16. Suppose m*u - 2*c - 63 = x*c, c = 3*u - 39. List the prime factors of u.
2, 3
Suppose 4*k = -r + 4, 4 = -r + 2*r - 2*k. Suppose -11 = -3*v - 5*q + 45, r*v + 4*q = 80. What are the prime factors of v?
2, 11
Let w(f) = -f + 13. Let t be w(0). Let x = 46 - -1. Suppose 5*v = t + x. What are the prime factors of v?
2, 3
Suppose -3*d - 22 = -d. Let y = 20 + d. What are the prime factors of y?
3
Suppose 2*k + 344 = 6*k. What are the prime factors of k?
2, 43
Let s(t) = -t + 12. Suppose 2*p - 45 = -3*p. Let b be s(p). Suppose b*v = 5*z + 64, -4*v - 2*z = -7*z - 77. List the prime factors of v.
13
Suppose 0*q = -2*q + 46. Let r = q + 8. What are the prime factors of r?
31
Let g(z) = z + 1. Let a be g(3). List the prime factors of (-16)/(-6) + a/(-6).
2
Suppose -3*y - 2*c = -48, -4*y - 13 = -4*c - 97. What are the prime factors of y?
2, 3
Suppose -3*r - 192 = -7*s + 3*s, 5*s - 240 = -r. List the prime factors of s.
2, 3
Suppose 2*t - 4*o - 10 = 0, -t = 2*t - 3*o - 12. Suppose t*h + h - 52 = 0. What are the prime factors of h?
13
Let o(g) = g**2 - 7*g - 13. List the prime factors of o(9).
5
Let i = 33 - 12. Let f = i - 12. List the prime factors of f.
3
Suppose -g - 3*g + 16 = 0. Suppose 1 + 7 = 5*a - 2*x, -8 = -2*a - g*x. What are the prime factors of a?
2
Let t = -54 + 144. List the prime factors of t.
2, 3, 5
Suppose -2 = -z + 2. Suppose s - z*u = -0*u + 12, -4*s = u - 48. What are the prime factors of s?
2, 3
Let f = 34 + -12. What are the prime factors of f?
2, 11
Let v(j) be the third derivative of j**6/120 - j**5/30 - j**4/4 - 2*j**3/3 - 6*j**2. What are the prime factors of v(5)?
41
Let c(g) = g**2 + g. Let t be c(3). What are the prime factors of t - (4 - (3 - 0))?
11
Let h = -15 + 43. List the prime factors of h.
2, 7
Suppose -2*c + 4*a + 8 = 0, -3*c - 2*a - 5 = 7. Let p = c + 5. Suppose 10 = p*k + 2*k. What are the prime factors of k?
2
Suppose -110 = -4*q + 2. Let f = q - 18. List the prime factors of ((-80)/(-25))/(2/f).
2
Let u = -15 + 31. Suppose 3*d - 55 + u = 0. List the prime factors of d.
13
Suppose -3*q + 32 = -4. Suppose 5*g - g - q = 0. What are the prime factors of g?
3
Suppose 2*h + r = -2, -7*r - 8 = -5*h - 3*r. Let m be -1 + (2 - (-2 + 0)). List the prime factors of (h - m)/((-3)/8).
2
Suppose -31 = -3*w + 77. Let o = w - -10. What are the prime factors of o?
2, 23
Let k = 4 + -3. Let i(a) = -9*a**2. Let q be i(k). List the prime factors of 12/q*(-2 - 4).
2
Let i = 74 - 15. What are the prime factors of i?
59
Suppose 0 = -3*j - j + 700. List the prime factors of j.
5, 7
Suppose -v - v = -2. Let o be (0 + 1)*(-6 - 1). Let m = v - o. List the prime factors of m.
2
Let x = 160 + -83. List the prime factors of x.
7, 11
Let z(b) = 3*b + 2. Let p be z(3). Let r be 4/(-10) - 32/(-5). Let i = p - r. What are the prime factors of i?
5
Let a(w) = -3 - 1 - 8 + 3*w. List the prime factors of a(9).
3, 5
Suppose 5*v + v - 24 = 0. List the prime factors of v.
2
Suppose 0*z + 5*z - 210 = 0. List the prime factors of z.
2, 3, 7
Let g be (-6)/(-4)*8/3. Suppose 0 = -3*p - p + t + 38, -8 = g*t. What are the prime factors of p?
3
Let u = 18 - 13. Suppose 0 = u*s - 250 - 170. Suppose -2*y = -4*m + 72, -5*m = -y - 0*y - s. What are the prime factors of m?
2
Let l = 15 + -11. Let d = l - 2. Suppose 0 = m + 4*k - 15, 3*m + d*k - 4 = 21. List the prime factors of m.
7
Suppose -2*x - 3*o + 51 = 0, 3*x - 3*o = 161 - 47. List the prime factors of x - 1 - (13 - 9).
2, 7
Let y(d) = -2*d + 3. Suppose 5*h = -0*h - 15. List the prime factors of y(h).
3
Let i(f) = 2*f + 17. Let b be i(-8). Let a = b + 15. List the prime factors of a.
2
Let v be (-42)/28*(-22)/(-3). What are the prime factors of v/(-55) + (-9)/(-5)?
2
Let p(t) = -t**2 - 4*t + 3. Let j be (10/(-6))/(4/12). Let a(v) = v**3 + 4*v**2 - 3*v + 6. Let l be a(j). List the prime factors of p(l).
3
Let a = 14 - 9. Suppose 29 = a*m + 4. List the prime factors of m.
5
Let l(o) be the second derivative of -13*o**5/20 + o. List the prime factors of l(-1).
13
Let x(f) = f - 3. Let w be x(-4). Let o(g) = g**3 + 7*g**2 - 2*g - 8. Let r be o(w). List the prime factors of ((-1)/1)/(r/(-30)).
5
Let b be (2 - -1)/(6/(-8)). List the prime factors of ((-35)/20)/(1/b).
7
Suppose 3*h - x = -198, 2*x + 66 = h - 2*h. Let s = -32 - h. What are the prime factors of s?
2, 17
Suppose 2*b + 0*b = 0. Let u = -3 - b. What are the prime factors of 14 - (-3 + 8 + u)?
2, 3
Let f = 9 + -5. Suppose 3*w - 17 = 2*w. Suppose q = -d + f, d - 4*d - 2*q = -w. List the prime factors of d.
3
Let k be (6 - 5)*-19*1. Let u = -7 - k. What are the prime factors of u?
2, 3
List the prime factors of ((-1)/((-10)/5))/((-1)/(-326)).
163
What are the prime factors of (-85 + 3)/(-3 + 4 + -2)?
2, 41
Let g(w) = -15*w + 1. Let q be -3 + 4 - (1 - 3). Suppose 0 = -3*y + x - 8, q*y + 2*x = 4*x - 13. List the prime factors of g(y).
2
Let m(a) = -a**2 + 6*a + 10. Let c be 29/4 + 2/(-8). Let j be m(c). Suppose -g + i + 6 - 2 = 0, 0 = -j*i - 3. What are the prime factors of g?
3
Suppose 0 = -2*l + 2*y + 24, -3*y - 64 = -4*l - 15. What are the prime factors of l?
13
Suppose -3*j = -4*j + y + 56, -j + 68 = 3*y. List the prime factors of j.
59
Let v(i) = -7*i - i**3 + 0*i**3 + 6 - 1 + 7*i**2. What are the prime factors of v(5)?
2, 5
Let v(t) = 6*t - 19. What are the prime factors of v(6)?
17
Let g be (-4 + -1)*8/5. What are the prime factors of 4/g - 54/(-4)?
13
Suppose 3*z + 2 = -2*o - 12, 3*z + 5*o + 26 = 0. Let v be (-5 - z)*1 - -1. What are the prime factors of ((-2)/v + -7)/(-1)?
2, 3
Let o(k) = -k**2 - 8*k - 1. List the prime factors of o(-2).
11
Suppose -w + 0*w = 2*z + 1, 25 = 5*w - 5*z. Suppose -4*x + v + 13 + 84 = 0, -5*x = -w*v - 116. What are the prime factors of x?
5
Let f = 18 + -36. What are the prime factors of (21/6)/((-3)/f)?
3, 7
Let f(o) = o**3 + 7*o**2 - 3*o + 1. Suppose 3*r + 23 - 2 = 0. List the prime factors of f(r).
2, 11
Let p be 4/(-22) + 245/77. Let i = -4 + 6. List the prime factors of (p*i)/(2 + 0).
3
Let h be (2/4)/(1/50). Let m = h + -7. List the prime factors of 188/36 - 4/m.
5
Let x = -2 - -5. Let y = x - -8. What are the prime factors of y?
11
Suppose -9*z + 132 = -3*z. List the prime factors of z.
2, 11
Suppose 147 = 4*m - 301. Suppose -4*g + l + l = -90, 5*g - 2*l = m. What are the p | {
"pile_set_name": "DM Mathematics"
} |
/3 + 2*j**2 + 4*j + 1. Determine n*p(k) - 4*o(k).
3*k**2
Let v(o) = 2*o**2 - 2*o + 1. Let f(t) = -t - 14. Let m be f(-19). Suppose 5*u = 2*x + 2, 4*x + m*u - 20 = 3*u. Let b(l) = -l**2 + 2*l - 1. Give x*b(n) + 3*v(n).
2*n**2 + 2*n - 1
Let c(q) = 21*q - 15. Suppose -3 + 73 = 5*f. Let j(g) = -14 - 14 - f + 3*g + 40. Determine 2*c(p) - 15*j(p).
-3*p
Let y(b) = 1. Let t(c) = 1 + 45*c - 15*c - 23*c. Determine -t(m) + y(m).
-7*m
Let k(v) = -36*v**2 + 11*v - 11. Let u(n) = -7*n**2 + 2*n - 2. Let z(o) = -o**2 + 33*o - 88. Let w be z(30). Calculate w*k(r) - 11*u(r).
5*r**2
Let m(g) be the third derivative of -7*g**5/60 + g**4/8 + 301*g**2. Let f(q) = 14*q**2 - 5*q. What is 3*f(n) + 5*m(n)?
7*n**2
Let o(n) = 2*n**2 - 21*n + 2. Let z(q) = -q**3 - 7*q**2 + 63*q - 7. What is -14*o(h) - 4*z(h)?
4*h**3 + 42*h
Let v(b) = 5*b**2 - 105*b - 5. Let j(g) = -3*g**2 + 53*g + 3. Determine 7*j(z) + 4*v(z).
-z**2 - 49*z + 1
Let n = 1 + 4. Let x(l) = 4*l + 5. Let o(z) be the third derivative of 3*z**2 - 7/24*z**4 + 0*z - 3/2*z**3 + 0. Calculate n*x(a) + 3*o(a).
-a - 2
Let c(v) be the first derivative of -2*v**3 + 5*v**2/2 + 5*v - 1. Let q = -113 + 78. Let y = q + 30. Let j(l) = 7*l**2 - 6*l - 6. What is y*j(k) - 6*c(k)?
k**2
Let t(a) = 7*a**2 + 6*a - 49. Let k(u) = -u**2 - u + 1. Determine -6*k(l) - t(l).
-l**2 + 43
Let g(d) = -d**3 + d**2 - d + 1. Let r(v) = -3*v**3 + 4*v**2 - 4*v - 10. What is 2*g(b) - r(b)?
b**3 - 2*b**2 + 2*b + 12
Let j(z) = -70*z**2 + 4*z - 6. Let b(u) = -14*u**2 + u - 1. What is 11*b(d) - 2*j(d)?
-14*d**2 + 3*d + 1
Let m(f) = 8*f + 53. Let l(p) = -2*p + 3. Give -5*l(z) - m(z).
2*z - 68
Let y(j) = -44*j**2 - 7. Let q(r) = 1. Calculate -4*q(g) - y(g).
44*g**2 + 3
Let j(w) = -39*w**3 - 7*w**2 - 3*w - 6. Let t(r) = 39*r**3 + 8*r**2 + 4*r + 8. What is -4*j(q) - 3*t(q)?
39*q**3 + 4*q**2
Let i be (-8)/(32 + 0) - (-27)/(-4). Let r(s) = 39*s**2 - 7*s + 7. Let j(l) = 13*l**2 - 2*l + 2. Calculate i*j(t) + 2*r(t).
-13*t**2
Let y(i) = i**3 + i**2. Suppose -5*x = b + 4*b + 25, x - 3*b = -25. Let c be (2/10*2)/(1/x). Let j(d) = 3*d**3 + 4*d**2 - d. Determine c*y(h) + j(h).
-h**3 - h
Let z(g) = -48*g + 27. Let h(q) = 2*q - 4. Let o(x) = x. Suppose -5*k + 4*k - 5 = 0. Let m(t) = k*o(t) - h(t). Determine -27*m(p) + 4*z(p).
-3*p
Let b(x) = -x**2 - x + 1. Let l(g) = -2*g**2 - 3*g + 19. Calculate -b(y) + l(y).
-y**2 - 2*y + 18
Let o(x) = -4*x**2 + x - 341. Let h(w) = 2*w**2 + 171. Give 5*h(t) + 2*o(t).
2*t**2 + 2*t + 173
Let x(m) = -6159*m**3 - 3*m + 6095*m**3 - 3*m + 22*m - 16. Let q(v) = 13*v**3 - 3*v + 3. Calculate -16*q(i) - 3*x(i).
-16*i**3
Let g(w) = -4*w**3 - 6*w**2 - 2*w - 5. Let b(m) be the first derivative of -11*m**4/4 - 17*m**3/3 - 3*m**2 - 14*m + 444. Give -6*b(k) + 17*g(k).
-2*k**3 + 2*k - 1
Let y(k) = -50*k + 22. Let s(u) = u + 3. Determine -6*s(c) + y(c).
-56*c + 4
Let q(i) = -605*i**2 - 17*i - 17. Let z(l) = -202*l**2 - 6*l - 6. Give 6*q(n) - 17*z(n).
-196*n**2
Let q(x) = 69*x**2 - 12*x - 9. Let k(h) = 71*h**2 - 14*h - 10. Give 5*k(m) - 6*q(m).
-59*m**2 + 2*m + 4
Let t(g) = g**3 + g**2 - 1. Let r(i) be the third derivative of i**6/30 - i**4/8 - i**3/3 + 110*i**2 + 2*i. What is r(k) - 2*t(k)?
2*k**3 - 2*k**2 - 3*k
Let p(q) = 6*q + 2. Let a(u) = 31*u - 10. Determine -a(s) - 4*p(s).
-55*s + 2
Let j(g) be the first derivative of 2*g**3/3 + g**2 + 11*g - 648. Let k(o) = -4*o**2 - 4*o - 21. Give 11*j(i) + 6*k(i).
-2*i**2 - 2*i - 5
Let x(r) = -2*r**2 + r - 1. Let y be x(1). Let t(w) = w + 2. Let c(b) be the first derivative of -11*b - 5/2*b**2 + 8. Calculate y*c(z) - 11*t(z).
-z
Let y(r) = 2*r**3 - 5*r**2 + 5*r - 9. Let a(b) = -b**3 + 6*b**2 - 6*b + 10. Give -5*a(t) - 6*y(t).
-7*t**3 + 4
Suppose -3*l + 2 - 11 = 4*g, 1 = -g - l. Let v(x) = -8*x**2 + x - 2. Let c(q) = 9*q**2 - q + 2. What is g*v(j) - 5*c(j)?
3*j**2 - j + 2
Let n(x) = 118*x + 19. Let t(b) = -2*b + 6. What is n(m) - 3*t(m)?
124*m + 1
Let l(q) = 10*q + 8. Let t(s) = -3*s - 3. Let c(n) = -l(n) - 3*t(n). Let u(i) = -2*i + 5. Let o = -1 - 0. Determine o*u(z) + 5*c(z).
-3*z
Let h(j) = -598*j**2 + 8*j + 2. Let g(q) = -49035*q**2 + 660*q + 165. Give 2*g(w) - 165*h(w).
600*w**2
Let a(b) = 2*b**3 - b**2 + 3*b + 2. Let j(n) = -4*n - 77. Let t be j(-20). Let m(c) = c. What is t*m(r) - a(r)?
-2*r**3 + r**2 - 2
Let p(o) = -639 - 3*o - 2*o + o**2 - 641 + 1280. Let q(m) = -m. Give 3*p(r) - 15*q(r).
3*r**2
Let c(z) = -7*z**2 - 5*z + 2. Let i(j) = 32 - 5*j - 36 + 13*j**2 + 14*j. Give 11*c(f) + 6*i(f).
f**2 - f - 2
Let v(w) = -w + 1. Let b(a) = -a**3 - 15*a**2 + 15*a - 12. Let s be b(-16). Let t(u) = -6*u + 2 - s + 5. Calculate -t(c) + 5*v(c).
c + 2
Let c(s) = 21*s**3 - 21*s**2 - 29. Let o(t) = 14*t**3 - 15*t**2 - 19. What is 5*c(r) - 7*o(r)?
7*r**3 - 12
Suppose -26 = -21*z - 5. Let v(g) = -g - 1. Let y(c) = -12*c + 1. Give z*y(k) + v(k).
-13*k
Suppose 2*o - 4*o - 6 = 0. Let m be (-4)/o + (-7)/3. Let y(h) = -3*h + 4. Let r(j) = 1 - 2 - j + 2. Determine m*y(s) + 4*r(s).
-s
Let u(i) = -156*i**2 + 520. Let h(b) = b**2 + 2. What is -260*h(l) + u(l)?
-416*l**2
Let b(p) = 319*p + 8. Let s(o) = 479*o + 12. Determine 7*b(l) - 5*s(l).
-162*l - 4
Let f(z) = -z**2 - 3*z + 3. Let s(m) = -54*m - 1 + 27*m + 28*m. Determine -f(h) - 3*s(h).
h**2
Let r(k) = 5*k**2 - 10 - 19 + 5*k - 9*k**3 + 35*k**3 + 15*k**3 + 24. Let h(l) = -513*l**3 - 63*l**2 - 63*l + 63. Give 5*h(g) + 63*r(g).
18*g**3
Let o(m) = -129 - 127 - 13*m + 26*m**2 + 269. Let v(n) = -n**2 + n - 1. Give -o(z) - 13*v(z).
-13*z**2
Let i(m) = -2*m**3 - 7*m**2 + 4*m. Let c(b) = b**3 + 14*b**2 - 15*b - 5. Let s be c(-15). Let f(a) = 2*a**3 + 7*a**2 - 5*a. Give s*i(v) - 4*f(v).
2*v**3 + 7*v**2
Let d(h) = 25*h**3 + 2*h**2 - 2*h - 4. Let y(t) = 51*t**3 + 5*t**2 - 5*t - 9. What is 5*d(s) - 2*y(s)?
23*s**3 - 2
Let y(z) = 3 - 3 - 4 + 6*z. Suppose 3*m = 2*o + 8, 4*m = -12*o + 18 + 22. Let c(x) = 5*x - 3. What is o*y(a) - 3*c(a)?
-3*a + 1
Let i(h) = -h**2 - h - 19. Let x(g) = -g**2 - 2*g - 19. Determine -3*i(q) + 2*x(q).
q**2 - q + 19
Let v(b) = -2*b. Let h(q) = -36*q + 3. Give -h(r) + 2*v(r).
32*r - 3
Let n(a) = -2*a**2 - a + 2. Let t(p) = 3*p - 3*p - 225 + 2*p**2 + 223. Determine -4*n(s) - 3*t(s).
2*s**2 + 4*s - 2
Let f(b) = -b**3 - b**2 - b - 1. Let m(q) = -2*q**3 - 4*q**2 - 4*q - 4. Let z be (-9)/6*(-2)/(-1). Calculate z*m(y) + 12*f(y).
-6*y**3
Let g(o) = o**2 + o. Let x(w) = -6*w**2 - 7*w + 6. Calculate -4*g(r) - x(r).
2*r**2 + 3*r - 6
Let n(s) = -18*s - 7*s**2 - 2*s + 13*s**2 - 17 + 5*s**2. Let z be -2 + (-4 + 3)*-4. Let h(p) = -1 + 4*p**z - 6 - 7*p + 1. Calculate 17*h(a) - 6*n(a).
2*a**2 + a
Let a(p) = -14*p**3 + 3*p + 178*p**2 + 13 + 194*p**2 + 10*p - 385*p**2. Let l(b) = -7*b**3 - 6*b**2 + 6*b + 6. Determine -6*a(u) + 13*l(u).
-7*u**3
Let b(g) = 13*g + 9. Let f(n) = -40*n - 8. Let p(j) = 18*j + 4. Let m(u) = -3*f(u) - 7*p(u). Let q be (-4)/6*-3 + 5. Determine q*m(x) + 3*b(x).
-3*x - 1
Suppose -2*h + 57 = 53. Let a(l) = 13*l**2 + 8*l + 8. Let b(m) = -25*m + 3*m**2 - 1 + 0*m**2 + 3 + 27*m. Determine h*a(t) - 9*b(t).
-t**2 - 2*t - 2
Let g(c) = -8*c**2 - 7*c - 7. Let x(m) = -15*m - 12. Let k be x(-5). Let w = k + -70. Let f(u) = -7*u**2 - 6*u - 6. Determine w*f(j) + 6*g(j).
j**2
Let w(q) = 430*q**2 + 3*q - 6. Let l(t) = -4728*t**2 - 32*t + 64. Give -3*l(g) - 32*w(g).
424*g**2
Let a(s) = 28 - 4*s**3 + 9*s**3 - 18 - 16 + 8*s**2 - 2*s**2. Let u(b) = 11*b**3 + 13*b**2 - 13. Let p be 186/(-14) + (-6)/(-21). Calculate p*a(c) + 6*u(c).
c**3
Let y(g) = 2*g - 303. Let l(v) = v + 1. Give 4*l(i) - y(i).
2*i + 307
Let a(y) = y + 1. Let c(z) = 50*z. Calculate -a(j) - c(j).
-51*j - 1
Let c(h) = h**2 - h - 2. Let o(r) = 889*r**2 + 4*r + 6. Determine 3*c(k) + o(k).
892*k**2 + k
Let y(j) = -j + 1. Let x(h) = -h**3 + 3*h**2 - 2*h + 9. Let f be x(3). Let v(w) = -w + 3. Calculate f*y(l) - v(l).
-2*l
Let w(f) = 4*f - 3. Let y(p) = -3*p + 5. What is -4*w(b) - 5*y(b)?
-b - 13
Let k(h) = 9*h - 154. Let c(q) = 14*q - 230. Give 5*c(n) - 8*k(n).
-2*n + 82
Let m(d) = 36*d**3 - 24*d**2. Suppose 14*z = 59*z + 1080. Let c(q) = 7*q**3 - 5*q**2. Give z*c(a) + 5*m(a).
12*a**3
Let r(q) = 6*q**3 + 2*q**2 + 4. Let p be ((-26)/65)/(1/(-20)). Let s = p - 5. Let n(d) = 3 + 31*d - 31*d + 5*d**s + d**2. Give 4*n(k) - 3*r(k).
2*k**3 - 2*k**2
Let a(m) = -31*m**2 + 6*m - 23. Let r(c) = -10*c**2 + 2*c - 8. Determine - | {
"pile_set_name": "DM Mathematics"
} |
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What is -1256306 (base 8) in base 2?
-1010101110011000110
What is 10100010010100000100 (base 2) in base 15?
d1ec6
What is -6655cb (base 14) in base 4?
-31033232333
Convert 12807951 (base 10) to base 12.
4358013
Convert -440330114 (base 5) to base 12.
-76b724
What is -20121210111 (base 3) in base 7?
-1052002
Convert -138eb8 (base 15) to base 5.
-220112243
-233349b (base 12) to base 3
-110202210101202
What is -764331 (base 8) in base 12?
-104335
Convert 222000200102 (base 3) to base 8.
1750377
Convert -2301434 (base 5) to base 8.
-117645
-1603080 (base 11) to base 8
-12353274
Convert b42a73 (base 12) to base 5.
1210400304
Convert -100022001012 (base 3) to base 9.
-308035
What is -35022204 (base 6) in base 9?
-2020224
Convert 1120660 (base 9) to base 3.
1010200202000
What is 201202130 (base 4) in base 5?
13343442
Convert -2236642 (base 7) to base 15.
-577b7
-13133442 (base 5) to base 2
-11111110111000001
308362 (base 11) to base 4
1320222120
Convert 111010000010000111110 (base 2) to base 10.
1901630
Convert -122212110211 (base 3) to base 16.
-55dec
23c22c (base 16) to base 4
20330020230
-4222023 (base 6) to base 5
-23031330
What is 109709 (base 10) in base 16?
1ac8d
Convert -1424576 (base 8) to base 9.
-674858
Convert -312301403 (base 6) to base 9.
-11204443
1301312111 (base 4) to base 10
466325
What is -500428 (base 9) in base 5?
-33424340
What is -199177 (base 11) in base 5?
-34230004
What is 1b138 (base 16) in base 11?
76362
What is -d5c7a (base 16) in base 3?
-1122111011012
What is 504057 (base 9) in base 13?
a5976
-160331 (base 7) to base 3
-1121001022
-43133140 (base 5) to base 13
-ca072
Convert -9047661 (base 10) to base 5.
-4304011121
What is 30db4 (base 15) in base 10?
154969
-494e8 (base 16) to base 14
-7b5d6
-814221 (base 10) to base 15
-1113b6
Convert -101344124 (base 5) to base 16.
-66368
Convert -632724 (base 13) to base 16.
-2362c8
Convert -31112002222 (base 4) to base 9.
-6521507
Convert 677978 (base 16) to base 6.
401202532
Convert 651730 (base 8) to base 5.
23434242
34324156 (base 8) to base 2
11100011010100001101110
-1001121322 (base 4) to base 8
-1013172
What is b877c4 (base 14) in base 16?
5f4730
Convert -2021204142 (base 5) to base 12.
-144bb62
Convert -122220211 (base 3) to base 12.
-7687
What is -e87306 (base 15) in base 16?
-a8c54c
What is -1868a04 (base 11) in base 15?
-426302
What is -111002021011 (base 4) in base 11?
-3126663
What is -12321232 (base 5) in base 8?
-352600
C | {
"pile_set_name": "DM Mathematics"
} |
.
50
Let a(g) = -43*g + 680. Calculate the remainder when a(13) is divided by 30.
1
Let d be 8/28 + 396/(-14). Calculate the remainder when 4/14 - 4444/d is divided by 23.
21
Suppose 2 + 103 = 3*w. What is the remainder when ((134*(-7)/(-42))/(1/12))/2 is divided by w?
29
What is the remainder when (-21 + 10)*-7 - 4 is divided by 2?
1
Let m = 4 - -2. Suppose m = 7*g - 15. What is the remainder when g*4/(-48)*-412 is divided by 26?
25
Let d be 6*(1 - (3 - 3)). Let v be (8/d)/((-2)/(-15)). Let u = 15 - v. Calculate the remainder when 8 is divided by u.
3
Let l(b) = -26*b - 95. What is the remainder when l(-14) is divided by 68?
65
Suppose -3*o = f - 76, 3*f = o - 65 + 253. Let d = f - 112. Let s = d + 111. What is the remainder when s is divided by 11?
8
Let j be 1115/(-65) + 7 - 2/(-13). What is the remainder when (95/j)/(6/15)*-4 is divided by 25?
20
Suppose -5*c - b + 43 = -3*c, 5*c - 112 = -4*b. What is the remainder when 54 is divided by c?
14
Calculate the remainder when 6/(-5)*2480/(-48) is divided by 35.
27
Let r be 0 + (3 - 2)*-1. Let g(k) = 13*k**2 - 2*k - 2. Let m = 109 - 84. What is the remainder when m is divided by g(r)?
12
Let n(x) = -3*x + 1. Let c(z) = z**2 + 97*z - 1241. What is the remainder when c(12) is divided by n(-6)?
10
Let r(f) = f**2 - 9*f - 1. Let t be 1 - (1 - (-36)/(-3)). What is the remainder when 136 is divided by r(t)?
31
Suppose 3*r = -4*u - 3, -2 = -3*u - 3*r - 8. Suppose -2*x = z - 7 - 17, -2*z - u*x + 43 = 0. Calculate the remainder when 40 is divided by z.
12
Let v(p) = 3 + 4*p + 3*p**3 + 2 + 2*p**2 - 8*p**3 + 4*p**3. Calculate the remainder when 22 is divided by v(3).
6
Let h be 1/1 - -49 - 0. Let z be (-35)/(-8) + 21/(-56). Suppose 46 = z*p - h. What is the remainder when 45 is divided by p?
21
Let g(w) = 9*w**3 + 7*w**2 - 10*w + 3. Calculate the remainder when g(2) is divided by 21.
20
Suppose 3*i = 5*a + 375, -3*i - 23*a + 399 = -20*a. What is the remainder when i is divided by 67?
63
Let z = 22 - 54. Let b = z - -80. Suppose 4*j - b = 176. Calculate the remainder when j is divided by 19.
18
Suppose 210 = -36*z + 41*z. What is the remainder when 1046 is divided by z?
38
Let d = -276 + 391. Calculate the remainder when d is divided by 30.
25
Let f be (-90)/25 - (-2)/(-10)*2. Let n = f - -9. Calculate the remainder when 7 is divided by n.
2
Suppose 0 = 2*q - 1039 + 963. Calculate the remainder when 98 is divided by q.
22
Let f be 62/10 + (-1)/5. Suppose -u - 4*w = 6, -5*u + 0 = 2*w - f. Calculate the remainder when 32 is divided by (90/3)/2 + u.
15
Calculate the remainder when 127 is divided by (-2)/(-16) + (-3510)/(-208).
8
Let a = 15 - 30. Let r be 59*1 - (a - -14). Let c = 1 + r. What is the remainder when c is divided by 16?
13
Let t(w) = -17*w. Let d = -3 - -2. What is the remainder when 3/(450/(-155) - -3) is divided by t(d)?
14
Suppose -12 = -i - 3*i, 5*i = -3*u + 36. Let j be (u + 1)*1/2. Suppose j*f - 22 = 102. What is the remainder when f is divided by 8?
7
Suppose -k - 26 = -56. What is the remainder when 50 is divided by k?
20
Let w(c) = 3*c**2 - 15*c + 3. Suppose 0 = -3*d - d + 716. What is the remainder when d is divided by w(7)?
44
Suppose 0*w - 3*w = -5*b + 285, -4*b - 4*w = -260. Suppose 11*h - 169 = -697. What is the remainder when b is divided by (h/(-16))/((-6)/(-32))?
12
Let y(b) = 25*b + 23. Let d(h) = -2*h**2 - 30*h - 26. What is the remainder when y(3) is divided by d(-13)?
20
Let b be ((-3)/(-9))/(2/24). Suppose -b*v + 56 = a - 1, a + 2*v - 47 = 0. Let h = a + -14. What is the remainder when 44 is divided by h?
21
Suppose -15*p = 8*p - 8027. Calculate the remainder when p is divided by 9.
7
Let y(c) = -7*c**2 + 65*c + 9. Calculate the remainder when 188 is divided by y(9).
26
Suppose -4*p = 3*y - 502, -13*y - 2*p = -18*y + 854. What is the remainder when y is divided by 3?
2
Let c(d) = d**3 + 6*d**2 + 4*d - 3. Let n be c(-4). Let m(f) = -f**3 + 13*f**2 + f. What is the remainder when m(n) is divided by 5?
3
Suppose 24*j + 387 = 33*j. Calculate the remainder when j is divided by 13.
4
Let h(k) = 3*k + 16. Let i be h(-6). Let c be (-4 - -10)/(i/(-5)). Suppose -4*q + 5 = -c. Calculate the remainder when 22 is divided by q.
2
Let m = 1888 - 1748. What is the remainder when m is divided by 120?
20
Suppose 0 = 2*n - 5*h - 56, -6*h - 123 = -5*n - 2*h. Let f = -43 - -48. Calculate the remainder when n is divided by f.
3
Suppose -3*u + 5*k + 539 = 0, -k - 359 = -3*u + 176. What is the remainder when u is divided by 36?
34
Suppose 2*k - 17 = -71. Let z = -19 - k. Calculate the remainder when 13 is divided by z.
5
Let p = -2082 - -2097. What is the remainder when 129 is divided by p?
9
Suppose -6*x + 56 + 202 = 0. Calculate the remainder when x is divided by 11.
10
Let h be (66/10)/(9/45). Let i = h - 21. What is the remainder when i is divided by 270/50 + 4/(-10)?
2
Suppose 0 = 3*s + 5*q - 30, -28*s - q + 10 = -27*s. Calculate the remainder when 68 is divided by s.
8
Suppose 7*j - 16 = 5. Suppose j*k = -y + 50, 0 = -5*y + 4*y + 2. What is the remainder when 43 is divided by k?
11
Suppose -5*b = -2*s + 6*s - 14, 0 = -5*s - 20. Suppose 0 = -l - 6*l + 7. Calculate the remainder when 9/b + 3/6 is divided by l.
0
Let a = 298 + -186. Let i = a + -100. Calculate the remainder when 41 is divided by i.
5
Calculate the remainder when 2/3*(1590/20 + 0) is divided by 16.
5
Let i = 504 - 494. What is the remainder when 59 is divided by i?
9
Let z be (-2)/((15/(-5))/3). Suppose 5*x + 26 = 3*h, 2*h + z*x - 78 = -2*h. Calculate the remainder when 64 is divided by h.
13
Let n = 1974 + -1964. Let h(w) = -38*w**3 - w - 1. Calculate the remainder when h(-1) is divided by n.
8
Let c = 226 + -100. Calculate the remainder when c is divided by 121.
5
Suppose 92*i - 128*i + 4680 = 0. Calculate the remainder when i is divided by 62.
6
Let u be (-2 + 0)/((-14)/(-735)). What is the remainder when 41 is divided by (u/10)/((-2)/4)?
20
Let g(m) = -m**3 + 4*m**2 + m - 1. Suppose 0 = -r + 2*r - 3. What is the remainder when 40 is divided by g(r)?
7
Let l(u) = u**3 + 9*u**2 + 6*u - 11. Let b be l(-8). Suppose b*v + 26 = 7*v. Calculate the remainder when 25 is divided by v.
12
Let t(w) = w**3 + 6*w**2 + 4. Let b be t(-6). What is the remainder when (-78)/b*8/(-4) is divided by 14?
11
Suppose 28*c - 200 - 444 = 0. Calculate the remainder when 52 is divided by c.
6
Let q(f) = f**3 + 2*f**2 + f + 9. Let a be q(0). Suppose -g + 4*g - a = 0. What is the remainder when 9 is divided by g?
0
Let g(r) be the first derivative of -41*r**2/2 + 10*r - 3. Let k be g(8). What is the remainder when (1 - 2)/(6/k) is divided by 27?
26
Let s(j) = -2*j**2 - 11*j + 5. Let y(l) = -3*l**2 - 16*l + 8. Let w(x) = 8*s(x) - 5*y(x). Calculate the remainder when 26 is divided by w(-7).
5
Suppose -43*h - 15 = -44*h. Let w = 55 + -28. Calculate the remainder when w is divided by h.
12
Suppose -5*x - 5*r + 3*r = 0, -x + 3*r - 17 = 0. Let j(l) = -11*l - 4. Let c be j(x). Calculate the remainder when c*(7/(-2) + 4) is divided by 5.
4
Suppose 67*m - 63*m - s - 780 = 0, 0 = -5*s. Calculate the remainder when m is divided by 36.
15
Suppose 4*u = u + 9. Suppose u*z = 173 - 20. Calculate the remainder when z is divided by 9*((12 - 6) + -4).
15
Let t(f) = 22*f**2 + 2*f + 4. What is the remainder when 190 is divided by t(-1)?
22
Calculate the remainder when 473 is divided by 6020/245 - (2 - (-17)/(-7)).
23
Let w = -55 + 30. Suppose -5 = -l + 33. Let m = l + w. Calculate the remainder when 24 is divided by m.
11
Let b(l) = -11*l + l**3 - 14*l + 2*l**2 + 12*l - 5. Calculate the remainder when 43 - (-2)/2 - 1 is divided by b(-4).
13
Let d = 62 - -10. Calculate the remainder when d is divided by 23.
3
Let t(x) = x**3 - x**2 - 5*x. Let l = 14 + 16. Suppose w = -3*k + l, -3*w + 0*w + 4*k = -25. Calculate the remainder when t(4) is divided by w.
13
Suppose w = 9 + 10. Suppose -111 + w = -2*c. Calculate the remainder when c is divided by 12.
10
Let h(d) = d**3 + 5*d**2 - d + 16. What is the remainder when 78 is divided by h(-5)?
15
Suppose -3*m - 7 = 8. Let c(z) = -5*z**2 - z**2 + 2 - 7*z + 2793*z**3 - 2794*z**3. What is the remainder when 33 is divided by c(m)?
9
Let c = -188 + 345. Calculate the remainder when c is divided by 53.
51
Suppose n = 14 + 1. Suppose 31 = m | {
"pile_set_name": "DM Mathematics"
} |
st common factor of r and q.
19
Suppose c + 4*c = 5*x - 70, 4*x = 5*c + 56. Calculate the greatest common factor of x and 2.
2
Suppose -4*g + n = 0, -4*g = -0*n - 3*n. Let j be 0/((-1)/(g - -1)). Suppose 5*s - 15 = -j*s. Calculate the highest common divisor of s and 18.
3
Let g be (-12)/(-6) - 1*-2. Calculate the highest common factor of g and 4.
4
Let f = -111 - -187. Calculate the greatest common divisor of f and 19.
19
Let r be (0 + -2)*(-6)/4. Suppose -r*x = 43 - 4. Let i = x - -18. What is the highest common divisor of 35 and i?
5
Let v be 1 + (0 - (-1 + 1)). Let k(b) be the second derivative of 7*b**4/4 - 15*b. Let y be k(v). What is the greatest common divisor of 189 and y?
21
Let i = -5 - -10. Let b be 74/4 + i/(-10). Suppose 2*y + 13 = 49. What is the greatest common factor of y and b?
18
Suppose 4*u = 5*h - 320, -u - 111 - 81 = -3*h. What is the greatest common factor of 160 and h?
32
Let q(m) = -20*m - 5. Let k be q(-2). Let z be 2 - (22/1)/1. Let h = k + z. Calculate the greatest common divisor of h and 15.
15
Let f = 18 + -3. What is the highest common factor of f and 165?
15
Suppose 5*u = 6*u - 15. Suppose -4*k = 3*i - u + 3, -2*i = -3*k + 9. Suppose i = w - 5*w + 64. Calculate the greatest common factor of w and 8.
8
Suppose 3*p = 2*i - 117, 0 = -4*i - 0*i - 5*p + 267. Let o be (32/3)/(7/i). Calculate the highest common factor of 12 and o.
12
Suppose -p = 3*x - 63 - 15, 2*x = -2*p + 148. Let y be 9 + -2*1/2. Calculate the greatest common factor of p and y.
8
Suppose -154 = -5*n - 2*k, 5*n = -4*k - 37 + 195. Let i be 20/(-6)*(-324)/n. Let t be (1/2)/(2/48). What is the highest common divisor of t and i?
12
Let l(w) = 22*w - 2. Let h be l(-2). Let m = 78 - h. Let t = m + -85. Calculate the highest common factor of t and 26.
13
Let r(p) = -p**3 + 11*p**2 + p - 10. Let x be r(11). What is the greatest common divisor of x and 1?
1
Let i(k) = 3*k**2 - 3*k + 4. Let u be i(3). Suppose 0 = -o - 2*j - 0*j - 87, -2*o - 199 = -j. Let v = -42 - o. Calculate the highest common factor of v and u.
11
Suppose m + 3 = -2*a, -3*m + 5*m = -2. Let v be 2/3*(a - -10). Let b(t) = 2*t**2 - 3*t + 4. Let z be b(2). What is the greatest common divisor of v and z?
6
Let c(l) = -82*l + 2. Let q be c(-1). Calculate the highest common factor of 12 and q.
12
Let z(u) = 15*u - 9. Let h be z(3). Calculate the highest common factor of 54 and h.
18
Suppose 0 = 4*j - 70 + 6. Suppose -5*w + w = -64. Calculate the greatest common divisor of j and w.
16
Let r(b) = 3*b + 21. Let v be r(8). Suppose -63 = -5*q - 3*a, 0 = 2*q - a - 4 - 30. What is the highest common divisor of v and q?
15
Let y = 21 - 5. Suppose 0 = -3*c + q + 97, 0 = -5*q - 5. Calculate the highest common factor of c and y.
16
Suppose -y - 2*y = -12. Suppose y*r + s = -r + 198, s = -4*r + 158. Let n be ((-10)/4)/((-2)/4). What is the highest common divisor of r and n?
5
Let i(s) = s**3 + 7*s**2 + 2*s - 6. Let x(r) = r**2 + 10*r + 3. Let o be x(-9). Let c be i(o). Calculate the greatest common divisor of 54 and c.
18
Let n = 40 + -12. What is the highest common factor of n and 112?
28
Suppose 2*h = -r + 15, -h + 5*r - 5 = 4. Calculate the highest common factor of h and 42.
6
Suppose -2*x + 32 + 12 = 0. Suppose 4*w + 5*m = 415, 4*w - 125 = 3*w + 3*m. Calculate the highest common factor of x and w.
22
Let k(d) = -4*d - 3. Let a be k(-3). Let m = -4 - -85. What is the greatest common factor of a and m?
9
Let y be ((-508)/(-2))/(-2)*1. Let s = y - -187. Let o = -719 + 739. What is the greatest common factor of s and o?
20
Suppose 406*p + 170 = 411*p. Calculate the highest common factor of p and 272.
34
Let m = 128 + -68. What is the greatest common divisor of m and 90?
30
Suppose 3*x + 6*x = 1872. What is the highest common divisor of 26 and x?
26
Suppose -2*h = 3*p - 47 - 13, p - 25 = h. Calculate the greatest common divisor of 44 and p.
22
Let z be -2 + -2 + 8 - -1. Suppose 2*x = -z*t + 135, x - 5*x = t - 243. Let h = x - 18. What is the highest common factor of 6 and h?
6
Let b be (2/(-5))/(((-3)/405)/1). Calculate the greatest common divisor of 6 and b.
6
Let z(x) be the second derivative of -x**5/20 - x**4/6 + x**3/3 - 2*x**2 + x. Let k be z(-5). Let l = 2 + k. What is the greatest common factor of l and 42?
21
Let d(o) = -o**2 - 5*o + 8. Let m be d(-5). Let i = 15 - 10. Suppose i = 3*q + 2*q, 4*q = 4*u - 252. What is the greatest common divisor of m and u?
8
Let q = 23 + 2. What is the highest common divisor of q and 5?
5
Let r(i) = 18*i + 2. Let k be r(-2). Let f = -18 - k. Let m be ((-4)/3)/(1/(-18)). What is the greatest common factor of m and f?
8
Let v(n) = -2*n**3 + 3*n**2 - 2*n. Let c be v(-3). Suppose 355 = 3*k + 4*r + c, -3*r - 156 = -2*k. Calculate the greatest common factor of k and 12.
12
Let z be (36/14)/((-15)/(-105)). Calculate the highest common divisor of z and 45.
9
Suppose 6*i = 4*i + 144. Let n = -60 + 86. Let k = n + -17. Calculate the greatest common factor of i and k.
9
Suppose -3*v + 103 = 31. Calculate the highest common divisor of v and 12.
12
Let s be 1/(-5) - (-1144)/20. Let f = 87 - s. Suppose 3*u - 219 + f = 0. What is the highest common divisor of u and 7?
7
Let a(d) = d - 1. Let i be a(5). Suppose 2*s = u + i, 8 + 17 = 5*s + 5*u. Let v = -2 + s. What is the highest common divisor of 9 and v?
1
Let d(r) = 6*r + 2. Let c(w) = 17*w + 6. Let s(y) = 3*c(y) - 8*d(y). Let x be s(6). Suppose 10 = j - 0*j. Calculate the greatest common factor of j and x.
10
Suppose 3*k = 3*f - 156 + 6, 0 = -4*f - k + 190. What is the highest common factor of f and 24?
24
Suppose -7*s = -233 + 2. Calculate the greatest common factor of s and 3.
3
Suppose -2*z - 4*m + 16 = 0, 8 = 3*m - 1. Suppose -158 = -4*c - 4*q - 2, -2*c + z*q + 66 = 0. What is the greatest common divisor of 12 and c?
12
Let d(n) = n + 28. Let v be d(-23). Let g(q) = -q**3 - q**2 + 5. Let b be g(0). Calculate the highest common factor of v and b.
5
Let x(r) = 40 + 3*r - 22 - 2. Let s be x(8). Calculate the greatest common factor of s and 5.
5
Suppose 3*i = 2*r - 17 - 8, 4*i + 52 = 5*r. What is the highest common factor of r and 64?
8
Let f(u) = -2*u + 2. Let v be f(-2). Let t be (4/(-6))/((-5)/(-90)). Let x be (-32)/t - 1/(-3). Calculate the greatest common factor of v and x.
3
Suppose 0 = 5*m - 3*x + x - 996, -3*x + 387 = 2*m. Calculate the greatest common factor of m and 44.
22
Let v(d) = -2*d**3 - 4*d**2 + d + 3. Suppose -5*w - 16 + 1 = 0. Let t be v(w). What is the highest common divisor of t and 18?
18
Suppose -3*v - 2 + 8 = 0. Suppose -v*l + 3*l = 126. Let a = 157 + -143. What is the greatest common divisor of l and a?
14
Suppose 0 = -3*y + 5*t + 37, t = y - 6*y + 15. Suppose -2*d + 1 = -7. Calculate the greatest common divisor of d and y.
4
Suppose 0 = -b - 2*c + 66, b + 3*c - 36 = 33. Suppose -7*f + b = -129. Calculate the highest common divisor of f and 54.
27
Let v(a) = a**2 - 7*a + 6. Suppose -m = -0*m - 6. Let d be v(m). Suppose 34 = h - d*h. Calculate the greatest common divisor of 17 and h.
17
Suppose -2*z + t + 43 = 3*z, 23 = z - 5*t. What is the highest common factor of z and 1?
1
Suppose 5*s = 6*s - 9. Let a be (-1 - -1 - 2) + 20. Let i be 644/a + 2/9. Calculate the greatest common divisor of s and i.
9
Suppose 3*t + 2*b = 2*t + 78, -3*t = -3*b - 261. Suppose -2*j + 9 + 15 = 0. Calculate the highest common divisor of t and j.
12
Let p be (1*(-45)/3)/(-1). What is the highest common factor of 5 and p?
5
Let l = 85 - 66. Calculate the greatest common divisor of 152 and l.
19
Let n = -25 + 45. What is the highest common factor of n and 30?
10
Let t = -65 - -145. What is the greatest common factor of t and 5?
5
Suppose 2*q + 5 = 15. Let x(f) = 22*f + 0 - 1 + 4 - q. Let n be x(2). Calculate the greatest common divisor of n and 6.
6
Suppose 0 = -3*p - 0*p + 9. Suppose -2*b + 30 = 3*b - 2*v, p*b = -4*v + 18. Suppose 6 = b*g - 4*g. What is the greatest common factor of 12 and g?
3
Let p(u) = -u**3 + 5*u**2 - 2*u + 4. Let h be (4/3)/((-5)/(-15)). Let o be p(h). Calculate the highest common factor of o and 6.
6
Let z be (-1 + 1 + -1)/((-6)/84). Calculate the highest common factor of 42 and z.
14
Let x be 572/6 + (-20)/(-30). Calculate the highest common factor of 12 and x.
12
Suppose 4*f + 10 = -3*u + 71, f - 67 = -3* | {
"pile_set_name": "DM Mathematics"
} |
Calculate 5*h(k) + 3*r(k).
-4*k**3 - 2*k
Let i(x) = 1003*x**3 - 2*x**2 + 16*x + 4. Let n(d) = 1004*d**3 - 2*d**2 + 25*d + 5. Determine 3*i(p) - 2*n(p).
1001*p**3 - 2*p**2 - 2*p + 2
Let u(y) be the second derivative of -y**4/3 + 5*y**3/6 + 3*y**2/2 - 6294*y. Let v(s) = -5*s**2 + 6*s + 4. Calculate 4*u(j) - 3*v(j).
-j**2 + 2*j
Suppose 0 = 3*m - 3*o, -4*m + 910 = -5*o + 913. Let a(d) = d**3 - 5*d**2 - 4*d. Let x(p) = -p**3 + 5*p**2 + 5*p. What is m*a(s) + 2*x(s)?
s**3 - 5*s**2 - 2*s
Let k = 132 - 125. Suppose -k*r - 20 = -6. Let a(f) be the second derivative of -f**4/6 + f**3/3 + 2*f**2 + f. Let n(j) = j + 1. Give r*n(d) + a(d).
-2*d**2 + 2
Let l(r) = 7*r**3 + r**2 + 2*r. Suppose -31 - 5 = 4*a - 4*p, -5*a = -2*p + 30. Let v(t) = -t**3 - t**2. What is a*v(y) - l(y)?
-3*y**3 + 3*y**2 - 2*y
Let s(t) = 0*t**2 + 0*t**2 - 12 + 32*t**3 - 12*t**2. Let y = -126 + 121. Suppose -6*i + 8*i = -24. Let x(q) = -13*q**3 + 5*q**2 + 5. What is i*x(o) + y*s(o)?
-4*o**3
Let p(d) = -12*d + 9. Let a(j) = j**3 + 4*j**2 - 2*j - 2. Let n be a(-2). Let o(r) = -5*r - 4*r - 12*r + 12 + 18*r - n. What is -21*o(q) + 5*p(q)?
3*q + 3
Let t(v) = 122066176*v**3 + 51931*v**2 - 51931*v + 103862. Let n(u) = 9402*u**3 + 4*u**2 - 4*u + 8. Calculate 51931*n(x) - 4*t(x).
-9442*x**3
Let s(k) = -2*k**3 - 3*k**2 - k - 4. Let x(y) = -5*y**3 - 7*y**2 - 2*y - 9. Let n(h) = -7*s(h) + 3*x(h). Let z(p) = 2*p**3 - 2*p - 5. What is 4*n(d) + z(d)?
-2*d**3 + 2*d - 1
Let l(z) be the third derivative of z**6/30 - z**5/60 + z**4/24 + z**3/6 + 692*z**2. Let o(m) = 9*m**3 - 2*m**2 + m + 3. Determine -7*l(q) + 3*o(q).
-q**3 + q**2 - 4*q + 2
Let y(p) = 15*p**2 - 12*p - 14. Let l(b) = -8*b**2 + 7*b + 7. Give 11*l(w) + 6*y(w).
2*w**2 + 5*w - 7
Let c(l) = -4*l + 61. Let o be c(12). Let b(m) = -18*m + 48*m - o*m + 1 + 0 - 11*m. Let n(u) = -u - 1. Calculate b(x) + 4*n(x).
2*x - 3
Let a(c) = -c**3 + c. Let j(y) = 9 - 98*y + 5*y**3 - 4 + 53*y + 43*y. What is 2*a(h) + j(h)?
3*h**3 + 5
Let j(s) = -s**2. Let h(p) = -2*p**2 + 2*p + 2. Let k be (-9)/8*296/(-111). Give k*j(c) - h(c).
-c**2 - 2*c - 2
Let z(u) = -26*u - 53. Let t(s) = 12*s. What is -2*t(f) - z(f)?
2*f + 53
Let z(s) = -2*s**2 + 684*s. Let k(n) = -11*n. Calculate 2*k(u) - z(u).
2*u**2 - 706*u
Let r(c) = -2*c - 15. Let i(k) = -k. Suppose 16*s - 17 = -1. Let t(a) = -3*a + 2*a + 10 - 2. Let d(u) = s*t(u) - 2*i(u). What is 11*d(q) + 6*r(q)?
-q - 2
Let f(q) = -13*q + 3122. Let g(p) = -7*p + 1551. Calculate 6*f(y) - 11*g(y).
-y + 1671
Let q(p) = -p**2 + 5. Let f(i) = -6. Suppose 0 = -189*r + 185*r + 80. Suppose -11 = 6*l - 9*l - j, 0 = -5*j - r. Determine l*f(n) + 6*q(n).
-6*n**2
Let n(p) = 17*p**3 + 61*p**2 + 57. Let s(v) = 11*v**3 + 31*v**2 + 31. Let m(x) = 5*n(x) - 9*s(x). Let q(w) = -5*w**3 + 9*w**2 + 2. Calculate 6*m(i) - 17*q(i).
i**3 + 3*i**2 + 2
Suppose 59*i - 93 = -89 - 299. Let m(w) = -2*w**2 + 5*w. Let l(c) = 4*c**2 - 9*c. What is i*m(s) - 2*l(s)?
2*s**2 - 7*s
Let l(n) = n + 3*n - 5*n**2 - 4 + 3*n**2. Let t(p) = -2 - 2*p**2 - 5 + 7*p - p**2. Let j be 28/50*(-5000)/(-400). Give j*l(w) - 4*t(w).
-2*w**2
Let v(r) = 4*r**3 + 41*r**2 + 4*r - 4. Let n(q) = -21*q**3 - 198*q**2 - 21*q + 21. Give -2*n(j) - 11*v(j).
-2*j**3 - 55*j**2 - 2*j + 2
Let t(g) = g**3 - 32*g**2 + 90*g - 88. Let w be t(29). Let p(x) = -x**3 + x**2 + x + 1. Let d(j) = 95*j**3 - 114*j**2 - 114*j - 114. What is w*d(h) - 114*p(h)?
19*h**3
Let k(t) = -3*t**2 + t + 2. Let r be k(2). Let p = 3 + r. Let v(h) = -h**2. Let w(q) be the first derivative of -3*q**3 - 763. Determine p*w(y) + 40*v(y).
5*y**2
Let o(d) = d**2 - 9*d - 4. Suppose -2*a = -5*i + 43, 1214*i - 34 = 5*a + 1212*i. Let m(l) = 9*l + 3. What is a*m(g) - 3*o(g)?
-3*g**2 - 9*g
Let x(j) = -34*j. Let y(s) = -11*s. Suppose 92 + 153 = 5*k. Suppose 51*w + 6 = k*w. Calculate w*x(p) + 10*y(p).
-8*p
Let q(j) = -2*j**3 + 6*j**2 + 95*j + 29. Let b(z) = z**2 + 19*z - 1. Determine 10*b(i) - 2*q(i).
4*i**3 - 2*i**2 - 68
Let g(x) = -61*x - 9. Suppose -65*f + 257 - 423 - 419 = 0. Let v(l) = 15*l + 2. What is f*v(w) - 2*g(w)?
-13*w
Let l(q) = q**3 - 7*q**2 - 4*q + 3. Let p(o) = -2 + 3*o + 6*o**2 - 12793*o**3 + 6389*o**3 + 6403*o**3. Give 3*l(f) + 4*p(f).
-f**3 + 3*f**2 + 1
Let v(s) = -s**3 - 9*s. Suppose 2*q + 14 = 2. Let o(t) = 3*t + 22. Let w be o(-13). Let c(y) = 3*y**3 + 26*y. Calculate q*c(z) + w*v(z).
-z**3 - 3*z
Let f(r) = 49*r - 6. Let g(z) = -243*z + 30. Give -21*f(o) - 4*g(o).
-57*o + 6
Let c(f) = -5*f**2 + 2*f. Suppose -10 = 3*a - 25*y + 23*y, 4*y + 20 = -4*a. Let l(z) = -154*z**2 + 63*z. Give a*l(p) + 126*c(p).
-14*p**2
Let r(q) = -11*q**3 + 4*q**2 + 5*q. Let s(g) = -6*g**3 + 2*g**2 + 2*g. Let l(t) = t**2 + 48*t + 402. Let x be l(-11). Determine x*s(o) + 2*r(o).
8*o**3 - 2*o**2
Let i(z) = -1188*z**2. Let o(t) = 2 + 8796*t**2 - 2 - 8825*t**2. What is -4*i(u) + 165*o(u)?
-33*u**2
Let b(n) = n**3 - 15*n**2 - 2. Let r(a) = 11*a**3 - 5*a**3 - 184 + 106 - 76*a**2 + 67. Calculate 11*b(v) - 2*r(v).
-v**3 - 13*v**2
Let v(m) = 12*m**2 - 15*m. Suppose -s + 7 = -8. Let l(g) = 3*g**2 - 4*g. Let t = 73 + -64. Suppose -5*w + 27 - t = -2*f, -2*f = w + 6. What is f*v(j) + s*l(j)?
-3*j**2
Let b(z) = -3*z**3 + 9*z**2 + 5. Let w(l) = l**3 - l**2 - 1. Suppose -2*f = -235 + 233. Suppose 55*k + 45 = 64*k. What is f*b(s) + k*w(s)?
2*s**3 + 4*s**2
Let r(j) = -2*j + 5. Let s(u) = 4*u - 11 - 7*u - 4*u + 3*u + 8*u. Calculate -5*r(m) - 2*s(m).
2*m - 3
Let n(a) = -110*a**3 - 6*a**2 + a - 1. Let s(j) = 219*j**3 + 14*j**2 - j + 2. What is -7*n(h) - 3*s(h)?
113*h**3 - 4*h + 1
Let k(o) = 443*o - 3. Let r(n) = -875*n + 6. Calculate -13*k(g) - 6*r(g).
-509*g + 3
Let v(x) = 11*x**3 - 6*x**2 - 1327*x - 9. Let o(c) = -6*c**3 + 3*c**2 + 664*c + 5. Determine -7*o(a) - 4*v(a).
-2*a**3 + 3*a**2 + 660*a + 1
Let s(v) = 286*v**2 - 65*v - 65. Suppose -75*r + 82*r = 14. Let p(i) = 97 - 13*i**r + 89 - 280 + 97 + 3*i. Give 65*p(k) + 3*s(k).
13*k**2
Let x(d) = d**2 + 11*d + 14. Let t be x(-11). Suppose -17 = t*g + 11. Let m(k) = 2*k**2 + 2*k + 5. Let s(y) = -y**3 - 3*y**2 - 3*y - 5. Give g*s(l) - 3*m(l).
2*l**3 - 5
Let s(u) be the third derivative of 7*u**5/60 - 5*u**3/6 + 1239*u**2 + u. Let x(r) = 7*r**2 - 4. Give 4*s(a) - 5*x(a).
-7*a**2
Suppose 105 = 48*z - 218 + 83. Let g(u) = -27*u**2 - 5*u + 9. Let p(f) = -14*f**2 - 3*f + 5. Calculate z*p(v) - 3*g(v).
11*v**2 - 2
Let h(g) = 5*g**2 + 56. Let r(l) = 14*l**2 + 167. Suppose 5*d - j - 91 + 2 = 0, -5*j + 14 = 2*d. Give d*h(q) - 6*r(q).
q**2 - 50
Let x(g) = g. Let o(d) be the third derivative of -d**4/6 + 188*d**2. Let n be (81/54)/(2/(-8)). Calculate n*x(v) - o(v).
-2*v
Let m(j) = 453530*j**3 - 1736*j**2 + 868*j - 1736. Let g(o) = 2614*o**3 - 10*o**2 + 5*o - 10. Calculate 868*g(u) - 5*m(u).
1302*u**3
Let v(i) = 4475*i**2 - 2*i - 2. Let q(x) = -187952*x**2 + 85*x + 85. What is 2*q(d) + 85*v(d)?
4471*d**2
Let g = -2982 + 2979. Let j(b) = 2*b**3 + 4*b - 2. Let o(x) = x**3 + 4*x - 3. Determine g*j(k) + 2*o(k).
-4*k**3 - 4*k
Let i(y) = y - 1. Let b(x) = 65. Determine -b(n) + 3*i(n).
3*n - 68
Suppose -960 = 5*j - 6530. Let t(w) = w**2 - j + 1114. Let i(l) = -7*l**2 + 1. Let z = -31 - -32. Determine z*i(k) + 4*t(k).
-3*k**2 + 1
Let u(h) = -14*h**2 + 2*h - 459. Let s(o) = -17*o**2 + 3*o - 459. What is -4*s(t) + 5*u(t)?
-2*t**2 - 2*t - 459
Let r = 511 - 551. Let t(i) = -i**2 - i + 1. Let c(z) = z**3 - 8*z**2 - 8*z + 8. What is r*t(g) + 5*c(g)?
5*g**3
Let o(b) = -238612*b + 20570. Let f(r) = 12*r - 1. Give -20570*f(c) - o(c).
-8228*c
Let a(u) = -39 - 19 + 72 + u - 14. Let i(q) be the second derivative of 5*q**3/3 + q. Calculate -5*a(p) + i(p).
5*p
Let w(i) = -2*i**2 + 35*i + 883. Let y be w(-14). Let r(k) = -k**2 + k + 1. Let g(j) = 6*j**2 - 15*j - 18. Give y*g(p) + 15*r(p).
-9*p**2 - 3
Let o(y) = -49*y**2 - 2*y - 7. Let b(g) be the third derivative of -2*g**5/5 - g**4/24 - g**3/2 - 484*g**2. Give -9*b(i) + 4*o(i).
20*i**2 + i - 1
Let j(z) = 12*z + 9*z + 7*z**2 - 23*z. Suppose 7*b + 40*b + 235 = 0. Let n(g) = 14*g**2 - 5*g. Determine b*j(f) + 2*n(f).
-7*f**2
Let w(b) = -205*b**3 - b**2 - 11*b - 4. Let d(l) = -2*l**3 - 2*l - 1. Calculate -6*d(z) + w(z).
-193*z**3 - z**2 + z + 2
Let c(f) = -12*f**3 - 5*f**2 + 161*f + 5. Let m(y) = -12*y**3 - 4*y**2 + 163*y + 4. What is -4*c(g) + 5*m(g)?
-12*g**3 + 171*g
Let q(m) = -178 - 3*m + 366 + 3*m + 6*m** | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 4128 is divided by 118.
116
Calculate the remainder when 13433 is divided by 558.
41
Calculate the remainder when 39062 is divided by 542.
38
Calculate the remainder when 319 is divided by 195.
124
What is the remainder when 62207 is divided by 203?
89
What is the remainder when 1424650 is divided by 227?
225
Calculate the remainder when 12048 is divided by 90.
78
What is the remainder when 11027 is divided by 403?
146
What is the remainder when 9200 is divided by 6?
2
What is the remainder when 46896 is divided by 23442?
12
Calculate the remainder when 20982 is divided by 3243.
1524
What is the remainder when 20282 is divided by 120?
2
Calculate the remainder when 246507 is divided by 1826.
1823
Calculate the remainder when 62681 is divided by 3.
2
What is the remainder when 15147 is divided by 5031?
54
Calculate the remainder when 9341 is divided by 223.
198
Calculate the remainder when 6655 is divided by 310.
145
Calculate the remainder when 146970 is divided by 412.
298
Calculate the remainder when 3137 is divided by 539.
442
What is the remainder when 82648 is divided by 85?
28
What is the remainder when 11908 is divided by 212?
36
Calculate the remainder when 12494 is divided by 4136.
86
What is the remainder when 6569 is divided by 2174?
47
What is the remainder when 19496 is divided by 675?
596
What is the remainder when 3439007 is divided by 72?
71
Calculate the remainder when 165590 is divided by 56.
54
Calculate the remainder when 2391 is divided by 2186.
205
What is the remainder when 938690 is divided by 71?
70
Calculate the remainder when 13713 is divided by 4563.
24
What is the remainder when 66019 is divided by 13199?
24
Calculate the remainder when 250 is divided by 51.
46
Calculate the remainder when 5759 is divided by 54.
35
Calculate the remainder when 4845 is divided by 67.
21
What is the remainder when 211979 is divided by 10?
9
What is the remainder when 713 is divided by 362?
351
Calculate the remainder when 1050 is divided by 89.
71
What is the remainder when 22091 is divided by 1056?
971
What is the remainder when 256198 is divided by 11?
8
Calculate the remainder when 11946 is divided by 8.
2
Calculate the remainder when 520217 is divided by 32.
25
What is the remainder when 412 is divided by 26?
22
Calculate the remainder when 19198 is divided by 1130.
1118
What is the remainder when 18456 is divided by 142?
138
What is the remainder when 17881 is divided by 293?
8
What is the remainder when 13906 is divided by 557?
538
What is the remainder when 7594 is divided by 80?
74
What is the remainder when 2317 is divided by 446?
87
Calculate the remainder when 115487 is divided by 32.
31
What is the remainder when 63339 is divided by 1623?
42
Calculate the remainder when 4206 is divided by 86.
78
Calculate the remainder when 198 is divided by 146.
52
Calculate the remainder when 90274 is divided by 25.
24
Calculate the remainder when 131988 is divided by 143.
142
Calculate the remainder when 20150 is divided by 8.
6
Calculate the remainder when 287197 is divided by 906.
901
What is the remainder when 738051 is divided by 131?
128
Calculate the remainder when 84770 is divided by 86.
60
What is the remainder when 3489 is divided by 838?
137
What is the remainder when 57025 is divided by 203?
185
What is the remainder when 20866 is divided by 18?
4
Calculate the remainder when 762203 is divided by 12.
11
Calculate the remainder when 5026 is divided by 197.
101
Calculate the remainder when 479318 is divided by 239650.
18
Calculate the remainder when 19000 is divided by 1059.
997
What is the remainder when 84107 is divided by 94?
71
Calculate the remainder when 1835 is divided by 1802.
33
Calculate the remainder when 7404 is divided by 2327.
423
What is the remainder when 21489 is divided by 3053?
118
What is the remainder when 6237 is divided by 174?
147
What is the remainder when 153436 is divided by 16?
12
What is the remainder when 294 is divided by 28?
14
What is the remainder when 354754 is divided by 51?
49
What is the remainder when 1298 is divided by 567?
164
What is the remainder when 14754 is divided by 164?
158
What is the remainder when 5904 is divided by 255?
39
What is the remainder when 129127 is divided by 191?
11
What is the remainder when 1087 is divided by 17?
16
What is the remainder when 357 is divided by 204?
153
Calculate the remainder when 213166 is divided by 53274.
70
Calculate the remainder when 67714 is divided by 49.
45
Calculate the remainder when 338190 is divided by 76.
66
What is the remainder when 52122 is divided by 144?
138
Calculate the remainder when 36722 is divided by 7342.
12
Calculate the remainder when 52493 is divided by 17.
14
What is the remainder when 29323 is divided by 425?
423
Calculate the remainder when 1699 is divided by 527.
118
What is the remainder when 184313 is divided by 576?
569
What is the remainder when 1737 is divided by 125?
112
What is the remainder when 31292 is divided by 16?
12
Calculate the remainder when 40393 is divided by 2242.
37
What is the remainder when 520126 is divided by 288?
286
What is the remainder when 25783 is divided by 5?
3
Calculate the remainder when 1614562 is divided by 485.
482
Calculate the remainder when 421890 is divided by 302.
298
Calculate the remainder when 667662 is divided by 13.
8
Calculate the remainder when 13486 is divided by 339.
265
What is the remainder when 6339 is divided by 1052?
27
Calculate the remainder when 7847 is divided by 231.
224
What is the remainder when 112286 is divided by 928?
926
Calculate the remainder when 20659 is divided by 14.
9
What is the remainder when 83958 is divided by 26?
4
Calculate the remainder when 115726 is divided by 9.
4
What is the remainder when 25161 is divided by 23?
22
What is the remainder when 8216 is divided by 14?
12
What is the remainder when 280701 is divided by 68?
65
What is the remainder when 420458 is divided by 783?
770
What is the remainder when 46302 is divided by 2712?
198
What is the remainder when 5398 is divided by 360?
358
Calculate the remainder when 85948 is divided by 143.
5
What is the remainder when 24073 is divided by 2188?
5
What is the remainder when 9671 is divided by 510?
491
Calculate the remainder when 788631 is divided by 18.
15
Calculate the remainder when 10620 is divided by 4564.
1492
What is the remainder when 453 is divided by 214?
25
Calculate the remainder when 900 is divided by 11.
9
What is the remainder when 12174 is divided by 196?
22
Calculate the remainder when 252349 is divided by 90.
79
Calculate the remainder when 1193 is divided by 415.
363
What is the remainder when 25190 is divided by 25190?
0
What is the remainder when 1394 is divided by 126?
8
Calculate the remainder when 1730683 is divided by 935.
933
What is the remainder when 6250 is divided by 201?
19
Calculate the remainder when 133571 is divided by 47.
44
Calculate the remainder when 607616 is divided by 138.
2
Calculate the remainder when 4978 is divided by 684.
190
What is the remainder when 1196 is divided by 22?
8
What is the remainder when 9517 is divided by 23?
18
Calculate the remainder when 154314 is divided by 131.
127
Calculate the remainder when 4340871 is divided by 451.
447
Calculate the remainder when 24800 is divided by 322.
6
Calculate the remainder when 105029 is divided by 54.
53
What is the remainder when 29078 is divided by 20?
18
Calculate the remainder when 16901 is divided by 445.
436
What is the remainder when 52454 is divided by 2?
0
Calculate the remainder when 151959 is divided by 145.
144
What is the remainder when 46685 is divided by 14?
9
Calculate the remainder when 35073 is divided by 17.
2
Calculate the remainder when 6368 is divided by 1060.
8
Calculate the remainder when 4133 is divided by 1776.
581
What is the remainder when 4518 is divided by 226?
224
What is the remainder when 52180 is divided by 11?
7
What is the remainder when 12798 is divided by 83?
16
Calculate the remainder when 3965 is divided by 205.
70
What is the remainder when 26193 is divided by 13?
11
What is the remainder when 33912 is divided by 3390?
12
Calculate the remainder when 28830 is divided by 89.
83
Calculate the remainder when 16293 is di | {
"pile_set_name": "DM Mathematics"
} |
) + ((-70)/(-8) - 0). Let o(p) = -5 + 2*p**3 - 3*p**3 + 9*p**2 - 10*p + 2*p. Let r be o(z). Put -4, -3, r in descending order.
-3, -4, r
Suppose 0 = -4*p - 5*b + 25, 2*p + 3*b - 8 - 7 = 0. Let s be p*(9/6 + -2). Put s, -2, -11 in descending order.
s, -2, -11
Let w = 5 + -5. Suppose -3*j - g + 23 = -w*j, 4*j = 4*g + 52. Suppose -3*u + 3 - j = 0. Put 5, 0, u in ascending order.
u, 0, 5
Let g = -0.48 - 0.02. Let o be 6/15*10/16. Sort g, o, 5 in descending order.
5, o, g
Let s be (-12 + 5)/((-2)/20). Suppose 0 = -g - 5, 0*g = -5*c + g + s. Suppose c - 5 = -4*y. Sort -4, y, 5.
-4, y, 5
Let y be (3/9)/((-6)/(-54)). Sort 1, -48, y in descending order.
y, 1, -48
Let p(l) = -l**3. Let m be p(1). Sort 3, -5, m.
-5, m, 3
Let n = 49648 - 346685/7. Let v = n + -122. Let m = 0.1 - -0.3. Put m, 1/2, v in decreasing order.
1/2, m, v
Let l = 124/9 + -626/45. Let n = -519/68 + 31/4. Let m be (-16)/(-12)*(-2 + 5). Sort n, m, l in descending order.
m, n, l
Let l(m) = -m**3 - 9*m**2 - 9*m - 4. Suppose -4*k - 4*a - 3 = 45, 4*k + a = -36. Let i be l(k). Sort -1, i, 3 in increasing order.
-1, 3, i
Let i = -8 - -11. Let k be (-2*1/2)/i. Let b be 2*(3 + -2)*-2. Put k, 4, b in increasing order.
b, k, 4
Let c = -9 + 6. Let j = 2 - c. Suppose 9 = 3*l - 5*a - 6, 4*l - a = 3. Sort l, j, -2/7.
-2/7, l, j
Suppose 7*d - 2*d = -5*c, 3*d = -2*c + 3. Let n be 0 + 3/(6/8). Let f be (3/n)/(5/(-4)). Sort -0.4, c, f in decreasing order.
-0.4, f, c
Let f = -9 + 7. Let n = -3 + 3. Let y = 0.2 - n. Sort 2/7, y, f in descending order.
2/7, y, f
Let h(a) = -a - 2. Let x be h(0). Let y = 5 + x. Suppose -q - r - 12 = y*r, -2*q + 9 = -3*r. Put -5, -2, q in increasing order.
-5, -2, q
Let d be (6/5)/(6/40). Let p = d + -6. Let f = -13 + 14. Put -4, p, f in increasing order.
-4, f, p
Let o = -0.63 - -0.93. Put o, 3/7, -4/3, 0.4 in ascending order.
-4/3, o, 0.4, 3/7
Let h be -1*2 - (-25 + -2). Let k(y) = y**3 - 6*y**2 + 4*y + 5. Let o be k(5). Suppose o = 8*r - 3*r + h. Put r, -1, 1 in descending order.
1, -1, r
Let b be 2 - 1 - (0 - -1). Suppose -5*p + 3*l = 37, b*p + l = p + 9. Sort 1, p, 0.
p, 0, 1
Suppose -3*r - 2*d + 32 = 0, 3*r + 0*r - 4*d - 26 = 0. Let u be 0 - 0 - r/8. Let k = 1 - 3. Put k, u, -0.3 in descending order.
-0.3, u, k
Let m(z) = -z**3 + 8*z**2 - 12*z - 1. Let x be m(6). Sort -2, x, -4, 1.
-4, -2, x, 1
Let r = 68/75 - 6/25. Suppose 3*n - b = 14, n + 4*b + 2 = 3*b. Sort n, 1/4, r in decreasing order.
n, r, 1/4
Let x = -4241/15 + 838/3. Let l = 18/5 + x. Put l, 5, 0 in ascending order.
0, l, 5
Let t = -21 + 23. Suppose 0 = 4*c + 7 + 1. Sort c, t, 4 in ascending order.
c, t, 4
Let h = -1 + 4. Suppose 18 = 2*z - 3*o + 4, -3*o - 18 = -h*z. Suppose -2 + 6 = -z*u. Sort 1, 3, u.
u, 1, 3
Let r be (5 + -3 - 3)*-38. Let g = 194/5 - r. Sort -2, 2, g.
-2, g, 2
Let i(k) = k**3 + 2*k**2 - 3*k. Let d be i(-3). Let s be -6 - (d - (-6)/(-2)). Let a = -2 + 2. Put a, 1, s in decreasing order.
1, a, s
Suppose -r + 6*r = -5. Suppose 3*k + 0*y + 3*y - 3 = 0, k - 4*y + 14 = 0. Let m = -4 + 1. Put k, r, m in ascending order.
m, k, r
Let k = 36 - 31. Sort k, 1/4, 45/4 in increasing order.
1/4, k, 45/4
Let k be 5/3 - 10/15. Let t be 2 + k*(-2 + 3). Let j = 3.8 + 0.2. Put -2, j, t in decreasing order.
j, t, -2
Let y = -2 - -7. Suppose -y*q + 0 - 15 = 0. Suppose -3*d + 10 = -3*s - 5*d, 5*s - 2*d + 22 = 0. Put q, s, 4 in decreasing order.
4, q, s
Let n = 5 + -7. Let q(d) = -4*d**3 + d**2 - d + 1. Let k be q(1). Sort n, 1, k.
k, n, 1
Let o = -10 - -11. Let u = 1.2 - o. Put -1, 1/4, u in descending order.
1/4, u, -1
Let w be (((-3)/(-1))/(-3))/(-1). Suppose 4*y - 8*y = -56. Let h = 20 - y. Sort h, w, -1.
-1, w, h
Let o = 3.02 - 0.02. Put 0, -1, o in descending order.
o, 0, -1
Let x = 16 - 17.8. Let q = 0.8 + x. Let r = 5 - 3. Sort q, -4, r.
-4, q, r
Let p(m) = m**2 + 6*m - 6. Let h be p(-7). Let l(v) = 2*v**2 - 3*v. Let s be l(2). Let f be (s - 1) + (-2 - h). Put -1/10, f, 0.4 in ascending order.
f, -1/10, 0.4
Let o = -19 + 11. Let i be (-21)/12 - (-2)/o. Sort -1, -3, i in decreasing order.
-1, i, -3
Let p(b) = 1 - 2 - b + 0*b + 3*b. Suppose -t + 2 = 5*a, -2 = -0*t - t - 4*a. Let y be p(t). Put y, 1, -2 in ascending order.
-2, 1, y
Let w = -3.4 - -3.8. Put -1/6, -4, w in descending order.
w, -1/6, -4
Let i = 514 - 514.1. Let q = -25/3 - -9. Sort -4, i, q in descending order.
q, i, -4
Let d be 0 + -2 - (-208)/91. Let a = -124/3 - -5822/141. Let m = a + -137/94. Sort d, -5, m in descending order.
d, m, -5
Let j = -0.17 - 0.33. Sort -1, j, -5, 2/5 in increasing order.
-5, -1, j, 2/5
Suppose -3*x - 1 = -5*a, -6*a + 10 = -a. Sort -2, 4, 5, x.
-2, x, 4, 5
Suppose 3*d - 1 = 4*d. Let j = d + -1. Put 4, 0.2, j in descending order.
4, 0.2, j
Let v = -12 - -8. Let z be ((-10)/4)/(2/(-4)). Sort z, v, -1.
v, -1, z
Suppose v + 3*x + 25 = 6, 9 = 4*v - 5*x. Suppose -c = -2*n - 6, -3*c - n - 11 = -1. Let y be -5 + (-2)/(2/c). Put v, y, 5 in ascending order.
v, y, 5
Let o = 6 + -4. Suppose -u - o = 3. Sort -1/6, -0.5, u in increasing order.
u, -0.5, -1/6
Let p = -3 - -2.9. Let b = 0.49 - -0.01. Let a = b + p. Sort a, 0.5, 1/5 in decreasing order.
0.5, a, 1/5
Suppose 5*q - 6 - 14 = 0. Suppose 6 = n + n - 4*y, -2*y - 18 = -4*n. Suppose -n = s - q. Sort 2, 4, s.
s, 2, 4
Let p = -2 - -2. Let v be (1 + -7)/3 - -5. Let g be ((-3)/4)/(2/8). Sort p, v, g in decreasing order.
v, p, g
Let w = 8.005 + -0.005. Put -0.5, w, -2/15, -5 in descending order.
w, -2/15, -0.5, -5
Let x(j) = 8*j - 5. Let f(l) = 4*l - 3. Let d be 37/(-5) - 12/(-30). Let o(i) = d*f(i) + 4*x(i). Let k be o(-1). Put 4, 5, k in decreasing order.
5, 4, k
Let b be 0/((-3)/(3/(-1))). Put 3, b, -7 in increasing order.
-7, b, 3
Let m = -2.1 - -0.1. Put 0.2, -0.2, m in descending order.
0.2, -0.2, m
Let z(i) = i**2 + 9*i + 5. Let k be z(-8). Let l be (-2 + 3)/1 - 10. Let f be (-13)/(-3) + 3/l. Sort k, f, 1.
k, 1, f
Let u = -85 + 88. Sort -2, 4, u, 2 in ascending order.
-2, 2, u, 4
Let w = 0 + 0. Let c be -1 - (-1 - -1)/1. Let z be ((-5)/4)/(1/(-4)). Put w, z, c in increasing order.
c, w, z
Let l = 1.6 + -2.6. Sort -0.05, l, -2, 5.
-2, l, -0.05, 5
Let y = 9 - 14. Put y, 5, 2 in ascending order.
y, 2, 5
Let v = -0.3 - 1.7. Put -0.2, v, -3/4 in decreasing order.
-0.2, -3/4, v
Suppose 5*x + 4*n = -n, -x - 16 = 5*n. Let m = -4 + 6. Let b = -16 - -12. Sort x, b, m in descending order.
x, m, b
Let g be 22/3 - (-2)/3. Suppose -4*n = -2*n + 3*y + 22, -4*n = -3*y + 44. Let c = n + g. Sort c, 4, 0 in decreasing order.
4, 0, c
Let d be -3*(-1 + (-4)/6). Suppose -4*m - 5*x + 2 - d = 0, -3*m + 4*x = 10. Let t(j) = j**2 + 1. Let w be t(m). Sort w, 2, -3 in ascending order.
-3, 2, w
Suppose 4*n - 15 = -3*r, 0 = 3*r - n - 3*n + 9. Sort -2, r, -28 in descending order.
r, -2, -28
Suppose -3*c = -8*c. Let j = 8 + -3. Suppose c*m - j*m = 0. Put -5, -4, m in increasing order.
-5, -4, m
Let i be (-1578)/3213 + 4/14. Let l = -2/119 + i. Put -4/5, l, -2 in ascending order.
-2, -4/5, l
Let x = 6 + 1. Let m be x/2 + (-1)/(-2). Let n(d) = -d**3 - d + 3. Let v be n(0). Sort m, 0, v in descending order.
m, v, 0
Let j = -10.7 - -15.8. Let k = j + -0.1. Sort 0.4, k, 1 in ascending order.
0.4, 1, k
Let i = -1.1 + 15.1. Let t = i - 13.74. Let l = 0.04 + t. Sort l, 5, 0 in descending order.
5, l, 0
Let d = -145 - -148. Let x(b) = -b**2 + 3*b + 5. Suppose 5*v - 6*f = -f, -f = 2*v - 15. Let i be x(v). Sort d, 1, i in decreasing order.
d, 1, i
Let u = -11 - -11.4. Sort u, 3, -0.1 in descending order.
3, u, -0.1
Let r = -2 - 2. Let v be -2*(-2 + 2/r). Suppose 5*h = -10, -4*k + 3*h - v*h - 24 = 0. Sort k, 5, 2 in increasing order.
k, 2, 5
Let h = -1.3 - -3.3. Sort h, -1/3, -2/17.
-1/3, -2/17, h
Let k be 2/48*-3*-2. Let r = 0.4 - 0. Put -5, k, r in decreasing order.
r, k, -5
Let d = -4 + 4.03. Let w = 6.47 + d. Let u = w - 7. Sort -4/7, u, -0.2 in ascending order.
-4/7, u, -0.2
Let y = 0.1 - 0. Let n = -3 + 3.6. Let b = 0.8 - n. Sort y, b, -3/7 in decreasing order.
b, y, -3/7
Let v = -36 + 31. Sort v, 0.2, -0.2.
v, -0.2, 0.2
Let o = 40.7 + -41. Put 4, o, 1 in descending order.
4, 1, o
Let x(q) = q**2 + 9*q + 1. Let c be x(-9). Sort -2, 3, c in descending order.
3, c, -2
Suppose 4*y - 3*y + 4*l + 5 = 0, 0 = -2*y - 4*l - 2. Sort y, 9, 2 in descending order.
9, y, 2
Suppose -1 = -2*f + 5. Sort 4, f, 0 in increa | {
"pile_set_name": "DM Mathematics"
} |
+ 0).
-f**2
Expand (2*j + 1 - 1)*(-3*j + 2*j - j) - 3*j**2 - 27 + 27 + (-j + 19 - 19)*(-1 + 2*j + 1).
-9*j**2
Expand (6*d**4 + d**4 - 2*d**4)*(-4*d + 63*d - d).
290*d**5
Expand (-3*j + 4*j + 3*j)*(-1 + 3*j + 1) + (-1 + 1 + 2*j**2)*(-6 + 4 + 0) + 4*j**2 - j**2 - j**2 - 1 + 1 + j**2 - 2*j**2 - 2*j**2 + j**2 + j**2 - 4*j**2 + j**2.
6*j**2
Expand (0*u - u - u)*(-390*u - 529*u**3 + 390*u).
1058*u**4
Expand (-1 + 2 + 1 + (-1 - 4 - 2)*(2 + 0 - 4) + (-2 + 1 + 3)*(-4 + 3 + 3))*(4*f**3 - 2*f**3 - 4*f**3).
-40*f**3
Expand (l**2 - 2*l**2 + 2*l**2)*(0*l + 0*l - l**2 + (-3 + 2 + 0)*(-2*l + 2*l**2 + 2*l) + 5*l + 14684 - 14684 - 3*l**2).
-6*l**4 + 5*l**3
Expand (l + l - 3*l)*(2*l**2 + 2*l**2 - 3*l**2) + l**3 + 4*l**3 - 3*l**3 + (2*l - 4*l + 12*l)*(-2*l**2 - 3*l**2 + 0*l**2).
-49*l**3
Expand 0 + 0 + r**2 + (1 + 2*r - 1)*(-r + r - r) - 4*r**2 + 2 - 2 - 4*r**2 + 3*r**2 - 5*r**2 + (r**2 + 0*r + 0*r)*(-3 + 4 - 4).
-14*r**2
Expand -3*z - 7*z + 3*z + (-2 + 3*z + 2)*(2 + 0 - 5).
-16*z
Expand (4*i - 2*i + i)*((1 - 3 + 1)*(-2 + 4 + 0) - 3 + 0 + 2 + 2 + 0 - 1 + 7 + 1 - 5).
3*i
Expand (-g - 17*g**2 - 13*g**5 + 7*g**2 + 4*g**2)*(-1 + 2 + 0).
-13*g**5 - 6*g**2 - g
Expand (-5*b**2 + 4*b**2 - b**2)*(4 - 1 - 4)*(-1553 + b + 1553 - 362*b**2).
-724*b**4 + 2*b**3
Expand (-5 + 5 - t)*(4 - 14 + 30)*(-t**2 - 2 + 2)*(-2 - 3*t + 2).
-60*t**4
Expand (-2*z - z + z + (-2*z - z + 5*z)*(5 - 3 + 0) + 4*z + 2*z - 3*z - 5*z - 5*z + 0*z + (-3 + 2 + 2)*(1 - 2*z - 1))*(4 + 5*z - 4).
-35*z**2
Expand (-2*j**2 - 3*j**2 + 6*j**2)*(-36 + 193*j + 189*j - 384*j).
-2*j**3 - 36*j**2
Expand (-3*c - 2*c - 2*c)*(1482 - 1482 - 52*c).
364*c**2
Expand -9498*a**2 + 9497*a**2 - 2 + 1 + (3*a - a**2 + 1 - 1)*(3 + 0 - 5).
a**2 - 6*a - 1
Expand (p**2 + 3*p**2 - 6*p**2)*(-1 + 1 + p)*(0*p + 7*p + 32*p).
-78*p**4
Expand (s**2 - 2*s**2 - 4*s**2)*(-2*s - s + 6*s)*(-22 + 5*s + 22).
-75*s**4
Expand -3*k**3 - 2*k**3 + 4*k**3 + (-172*k + 83*k + 62*k)*(2*k**2 + k**2 - k**2).
-55*k**3
Expand (1 + 3 - 2)*(-3*k - k + 2*k) + 0*k + k - 2*k + 117*k - 271*k + 120*k + 3.
-39*k + 3
Expand (-2 + 2 - 2*k)*(-77*k - 17*k - 23*k).
234*k**2
Expand z**2 + 46*z**2 - 3*z**2 + (2*z + 0*z + 0*z)*(z - 1 + 1) - z**2 - 5*z**2 + 5*z**2.
45*z**2
Expand -3*u**2 + u**2 + u**2 + (-u - 8*u - 4*u)*(-5*u + u + 3*u) + (-2*u - u + 4*u)*(0*u + u + u) + u**2 + 0*u**2 + u**2.
16*u**2
Expand -2*o**2 + 4*o**2 + 2*o + 0*o + (0 - 2*o + 0)*(4 - 5 + 2)*(10*o - 38*o - 37*o).
132*o**2 + 2*o
Expand (g + 4*g - 2*g)*(-4 + 4 - 3)*(-8*g**2 - 9*g**2 - 7*g**2).
216*g**3
Expand 303 + 10*j**2 + 4*j - 303 + 3*j - j**2 - 3*j + j**2 - j + j + (5*j - 3*j - 4*j)*(-2*j + 0 + 0).
14*j**2 + 4*j
Expand (0 - 1 - 3)*((-2*z + 2*z + z)*(2 + 2 - 2) + z + 0*z + 0*z + (-3 + 3 + 4*z)*(1 - 3 + 5)).
-60*z
Expand 6*a**3 - 2*a**3 + 0*a**3 + (-5 + 4 + 2)*(a**3 + a**3 - 3*a**3) - 43*a**3 - 2*a**3 + 7*a**3.
-35*a**3
Expand ((-k**3 + k - k)*(-3 + 1 - 6) - 2*k**2 + k**3 + 2*k**2)*(-7*k + 6*k - 10*k).
-99*k**4
Expand (-h - 2*h**2 + h)*(-h + 0*h - h) - 2*h**3 + 7 - h**3 + 19.
h**3 + 26
Expand (0 + 0 + 2*l)*(2*l - 514*l**3 + 259*l**3 - 2*l**2 - 1 + 258*l**3).
6*l**4 - 4*l**3 + 4*l**2 - 2*l
Expand (22 + 2 + 29)*(0*q**2 + 0*q**2 - 3*q**2).
-159*q**2
Expand (-1 + 0 + 3 + 0 + 3 - 16 + (1 + 1 - 1)*(0 + 1 + 1))*(1 - m**3 + 0*m**3 - m**3 + (m**3 - m**3 - m**3)*(2 + 0 - 3)).
9*m**3 - 9
Expand (0*d**3 + 3*d**3 - 4*d**3)*(-2 + 4 - 3) + (-8 + 4*d - d + 5)*(-1 + 0 - 1)*(-4*d**2 - d**2 - 2*d**2).
43*d**3 - 42*d**2
Expand (18*m**2 - 123*m**2 - 176*m**2)*(-4*m**3 - 2*m**2 + 2*m**3 + 0*m**3).
562*m**5 + 562*m**4
Expand (1013 + 524 - 220)*(0*v**2 + v**2 - 2*v**2).
-1317*v**2
Expand (-57 - 53 + 81)*(0*y + 0*y + y**4 + 0*y**4 + 5*y**4 - 4*y**4 + (-2*y**3 - 2*y**3 + 2*y**3)*(-6*y + 5*y + 0*y) + 4*y**4 - 3*y**4 + 2*y**4).
-203*y**4
Expand (-2*b + 5 - 5)*(77 + 44 - 70 + 153).
-408*b
Expand ((-2 - 2 + 3)*(-3 + 4 + 1) - 4 + 17 - 1)*(4*d**3 - 4 + 4).
40*d**3
Expand (-126*j**2 - 11*j**3 + 126*j**2)*(-5*j + 3*j + j) + (13*j**4 - 3*j**4 + 4*j**4)*(-4 + 0 - 1).
-59*j**4
Expand (4*z - 5*z + 12*z)*(-1 + 2 - 3)*(2 + 4 - 7).
22*z
Expand 33*p**3 - 31*p**4 - 33*p**3 + (-5*p**3 - 4*p**2 + 4*p**2)*(0 - 2*p + 0).
-21*p**4
Expand (-g + 2*g + g)*(43*g**2 - 6893*g + 6893*g + 1).
86*g**3 + 2*g
Expand 1694*t**2 + 13*t - 1694*t**2 - 30*t**3 + (-3*t + 3*t - 2*t)*(-3*t**2 + 2*t**2 + 3*t**2).
-34*t**3 + 13*t
Expand (p - 5*p**3 + 3*p**3 + 3*p**3 - 3*p**4)*(-5 + 5 - 2)*(223 + 255 + 363).
5046*p**4 - 1682*p**3 - 1682*p
Expand 3*l - 20*l + l + (4*l - 3*l - 3*l)*(-1 + 0 - 2) - 2 + l + 2.
-9*l
Expand (-w - 4*w - 6*w)*(0 - 1 + 4)*(-5*w + 4*w + 2*w).
-33*w**2
Expand (-10*x + 8*x - 7*x)*(2*x + 8*x - x) - 2*x**2 + 0*x + 0*x + (-2*x - 3*x + 4*x)*(1 + 2*x - 1) + 3*x**2 + 0*x**2 - 5*x**2.
-87*x**2
Expand (4 + 2 - 4)*(7 + 0 + 3)*(2*n + 0 + 0)*(5 - 5 + 5).
200*n
Expand (8*c - 4*c - 17*c)*(1 - 2 - 1)*(0 + 1 - 3)*(2*c - 2*c + 6*c).
-312*c**2
Expand (4 + 3 - 3 + (3 - 1 - 4)*(4 + 1 - 4) - 3 + 9 - 18)*(2*t + 0*t - 3*t).
10*t
Expand (-5*d + 2*d + 0*d)*(-6*d - d - 10*d) + 2*d**2 + 4*d - 2*d - 4*d**2.
49*d**2 + 2*d
Expand (0 - 1 + 0)*(675 - 337 + 12*p - 340).
-12*p + 2
Expand (-2*c**2 + c**2 + 2*c**2)*(2*c**2 + 3*c**2 - 4*c**2) - 22451 - 14*c**4 + 22451 + 2*c**3 - 16*c**2.
-13*c**4 + 2*c**3 - 16*c**2
Expand (3 - 6 + 5)*(2076 + 2277 - 4737)*(-2*j**3 - 2*j + 2*j).
1536*j**3
Expand (2 + 1 - 9)*(j - 3 - 7*j - 2*j).
48*j + 18
Expand (29*v**2 - 29*v**2 + 5*v**4)*(2*v - 1 + 1) - 4*v**4 + 4*v**4 - 2*v**5 + (3*v**2 + v**3 - 3*v**2)*(0 - 3*v**2 + 0).
5*v**5
Expand (85*p**5 - 164*p**5 - 138*p**5)*(-1 + 1 + 2 + (2 + 7 - 4)*(2 + 1 - 4)).
651*p**5
Expand (-8 - 1 + 4)*(-50*l - 289 + 289 - 2*l + 2*l - 2*l + (4 - 5 + 2)*(0*l - l + 0*l)).
265*l
Expand (5 + 2 - 5 - 290*i**2)*(0*i**3 - 3*i**3 + 0*i**3 + (2*i - 4*i + i)*(i**2 + 0*i**2 - 3*i**2)).
290*i**5 - 2*i**3
Expand (-y**5 + 5*y**5 - 5*y**5)*(1 + 1 - 4) + (-4*y + 0*y - y)*(-2*y**4 + 2*y**4 - y**4) + 11*y**2 - 11*y**2 - 5*y**5.
2*y**5
Expand (29 + 20 - 26)*(-2*i**2 + i**2 + 0*i**2 - i**2 + 0*i**2 + 2*i**2 + 4*i + 4*i**2 - 4*i - i**2 + 0*i**2 + 0*i**2 + (0 - i + 0)*(0*i + 0*i + i)).
46*i**2
Expand (0*g**2 - 6*g**2 + 4*g**2)*(3*g**3 + 0*g**3 - 2*g**3 - 3*g**3 + 0*g**3 + 2*g**3 + (0*g**2 - 2*g**2 + 4*g**2)*(2*g - 3 + 3)) + g**5 + 3*g**5 - 5*g**5.
-9*g**5
Expand 6*u**2 - 3*u + 3*u + (4*u**2 + 0*u**2 - 3*u**2)*(2 - 4 + 0) - 2*u + u**2 + 2*u + (3 - 5 + 0)*(u**2 - u**2 - u**2).
7*u**2
Expand 248*q**3 + 3*q**5 - 248*q**3 + (-363*q + 363*q - 5*q**4)*(1 - 1 + 2*q + (-2 - 1 + 5)*(q + 0*q + q) + 6*q - 2*q - 2*q).
-37*q**5
Expand (1553*i - 3114*i + 1586*i)*(0*i**3 - 2*i**3 + 3*i**3).
25*i**4
Expand (3 - 1 + 3 - 4 + 4 - 2 + (6 - 2 - 2)*(-5 - 1 + 4))*((2 - p - 2)*(-3*p + 14*p - 7*p) - 3*p - 3*p**2 + 3*p).
7*p**2
Expand 0*g + 3*g**3 + 0*g + (1 - g - 1)*(-g**2 - g + g) + 6*g**3 - 5*g**3 - 5*g**3 - g**3 + 4*g - 2*g + 2*g**3.
g**3 + 2*g
Expand 17 - 10*o**2 - 17 - o**2 - 1 + 1 + (2*o**2 + 0*o**2 - o**2)*(-2 + 5 - 1) + (-1 + 1 + 2*o)*(1 - 1 - o).
-11*o**2
Expand (-r**2 + 21*r**2 - r**2)*(-3*r + 0 + 0 + (0 - 2 + 1)*(r - r - 2*r) - 2*r + 5*r - r).
19*r**3
Expand (m**2 - m**2 - 2*m**2)*(-m**3 - 2*m + 2*m) + 35*m**5 + 137*m**2 - 137*m**2.
37*m**5
Expand (-5200 + 5200 - 99*o)*(4*o - 2*o - 3*o).
99*o**2
Expand (4 - 3 - 3)*(0 + 0 + 2*s) - 1 - s + 1 + 0*s + 4*s + 4*s - s + 5*s - 3*s.
4*s
Expand -206 - 7*v**4 - 23*v + 206 + (0*v**4 + 3*v**4 - 2*v**4)*(0 - 1 - 1).
-9*v**4 - 23*v
Expand -7*h**4 + 4*h**4 + 0*h**4 + 3*h**4 - 4*h**4 + 3*h**4 + 0*h**2 + 0*h**2 + h**4 + (-2*h + h + 0*h)*(0*h**3 - 2*h**3 + h**3) + 26*h**4 + 36*h**4 + 31*h**4.
94*h**4
Expand (0 - 5*j**2 + 0)*(4*j + j - 3*j**3 + j**3) + j**5 - 2*j**5 - 2*j**5.
7*j**5 - 25*j**3
Expand 3 + 6*q - 10 - 7*q + (0 + q + 0)*(-3 - 3 + 5) + 2*q - q - 3*q + 7*q - 2*q - 3*q.
-2*q - 7
Expand (-1 + 3 + 1)*((4 - 4 + 3)*(-4 + 1 + 0)*(3*z - z - 4*z) + (5*z - 4*z - 2*z)*(-1 - 2 + 1)).
60*z
Expand (3*s - s + 0*s + (-1 + 1 + 2)*(6*s - 2*s - 2*s))*(4*s**3 + 4 - 4) + 2*s**4 - s**4 - 3*s**4 + 16*s**4 + 17*s**4 - 24*s**4.
31*s**4
Expand j**4 + 2*j - 3*j**5 - 2*j + (9*j**4 + 32 - 32)*(-3*j - 4*j + 6*j).
-12*j**5 + j**4
Expand -3*a**4 + 3*a**4 - a**4 + (-2*a**3 + 4*a**3 + 2*a**3)*(4*a + a - 2*a) + 21*a**3 + 6*a**4 - 21*a**3.
17*a**4
Expand (-14*q + 7*q - 16*q)*(-3*q + 3*q - 4*q**2).
92*q**3
Expand 2*h**2 - 2*h**2 - 5*h**5 + (0 + 0 + | {
"pile_set_name": "DM Mathematics"
} |
positive.
q**(-2776/93)
Simplify (((i*(i**3/i)/i)/(i/i**(-2/15))*(i**8*i)/(i/(i*i**4/i)))**(-2/45))**(2/7) assuming i is positive.
i**(-772/4725)
Simplify (f/(f**(2/13)*f)*f*f**(-1/3)*f)**(11/2)*(f**2/f*f)/(f/(f/f**(-3/5)))*f**7*f/((f*f*f**(-4))/f) assuming f is positive.
f**(8549/390)
Simplify ((p/(p*p*p**(-2/7)))/(p/p**(2/9))*p**8/p*p**(-5/2))/((((p**0/p)/p)/p*p)**(-1/11)/(p**(-2/7)/(p*p*p**(-3/5)))) assuming p is positive.
p**(1129/990)
Simplify w**(-7/3)*w**(-2/7)*w**(-1/11)*w*w**(-2/7)/w*(w*w**6*w*w*w**1)/(w**(-4)/(w/(w*w/(((w**(-7)/w*w)/w)/w*w)*w))) assuming w is positive.
w**(232/231)
Simplify ((i/(i/(i**(2/9)/i*i*i*i)))**(-29)*(i/i**(2/3))**(-37))/((i*i**(-2/17)*i*i*i/i**6)/((i**0/i)/(i/(i**0/i)))) assuming i is positive.
i**(-11882/153)
Simplify (k**(-1)/(k/(k*k*k*(k/((k/k**13)/k*k))/k)*k))**(5/3)*(k**11/k**(-1))**(-42) assuming k is positive.
k**(-484)
Simplify (t/(t*(t/(t*t*t**(1/2)))/t)*t*t**(-5)/t)**(-3/7)*((t/(t/t**(-1)*t))/(t*t**(-6)))/((t*t*t/(t**(-3)*t)*t*t)/t**(-1/2)) assuming t is positive.
t**(-24/7)
Simplify (d**(1/3)/(((d*d/(d*d**(-3/2)*d))/d)/d*d))**(-8)/((d*d/(d**0*d))**(-9/10))**(23/3) assuming d is positive.
d**(247/30)
Simplify (((f/(f/((f**(-3)/f)/f*f)))**(-28)*f**7/(f/(f**(-1/13)*f*f)))**7)**(-5/8) assuming f is positive.
f**(-54565/104)
Simplify (((u**(-20))**(-49))**28)**(-8/9) assuming u is positive.
u**(-219520/9)
Simplify (b**29*b)/(b*b/b**(2/11))*((b**12*b)/b)/b**(-42/11) assuming b is positive.
b**44
Simplify (((v*v*(((v/v**1)/v)/v)/v*v)**(-2/17)*v/(v*v**7*v)*v*v*v**(1/16))**(8/5))**(-14/5) assuming v is positive.
v**(133/5)
Simplify ((w*w**(1/7))/w*w*w*w/((w*w/((w/(w**5*w)*w)/w))/w))/(w/(w/(w*(w*w**0)/w)))**(-2/27)*((w/(w*w/w**(3/8)*w)*w)/w**(-2/7))**(16/5) assuming w is positive.
w**(-3656/945)
Simplify ((a**(-3)/a*a*a*a/a**0)/((a**(-3/5)*a)/(a**(-1/5)/a)))/(a**(1/4)/a**(-6))**(-4/11) assuming a is positive.
a**(-18/55)
Simplify ((q**(-16))**(3/20)*(q**9/q)/q*q**(-2/21))**17 assuming q is positive.
q**(8041/105)
Simplify ((n*n*n/n**(-1/4)*n)/(n/(n**2/n)))**7/(n**10*n**2)**(-4/11) assuming n is positive.
n**(1501/44)
Simplify ((((s**(-3/11)*s)/((s/(s*s*s**(1/10)*s))/s))/(s**(5/2)/(s*((s*s/s**(1/3)*s)/s)/s)))**(-1/64))**50 assuming s is positive.
s**(-1235/528)
Simplify (((o**(16/11)*o/(o*o**11/o*o))**(-27/4))**(-39))**40 assuming o is positive.
o**(-1105650/11)
Simplify ((u**(-2)*u)**(-23)*(u**(-2)/u*u)**5)**(1/28) assuming u is positive.
u**(13/28)
Simplify ((v*v**(-4)/v)**(-7)*(v*v/(((v/v**(-2/19))/v*v)/v))/v**(-7/4))**(-1/8) assuming v is positive.
v**(-2405/608)
Simplify (h*h*h/(h/(h**(-8)/h))*h*h)/(h/(h**(-2/5)/h))*(h**(2/7))**(-16)*(h**(1/5)/h**(-4))/(h**(-1)*h)**(-2/23) assuming h is positive.
h**(-272/35)
Simplify ((r**(-3/23))**(-10/11)/(r**16)**(-4/21))**(-2) assuming r is positive.
r**(-33644/5313)
Simplify (((z*z**(2/23)*z)/z*z**28)/(z**(-2/11)*z)**(-3/13))**(-29) assuming z is positive.
z**(-2792352/3289)
Simplify ((p*p**(-2/51)*p)/p)**(-6)*(p**(-2/11)*p)**(-49) assuming p is positive.
p**(-8575/187)
Simplify ((r**(-1/4))**(-35)/(r**(-2)*((r**(-3/2)*r)/r)/r))/((r*r**(-3/5))/((r/r**(1/2))/r)*r**(1/6)/(r**(-3)*r)) assuming r is positive.
r**(611/60)
Simplify ((((w**(3/2)/w)/w**1)**(-21))**36)**(1/4) assuming w is positive.
w**(189/2)
Simplify (o**(-1/3)/o)**(-25)*o**(-1/5)*o**(-8)*o*((o**(-6)/o)/((o**(-8)*o)/o*o))/(o/o**(-8)*o/o**6) assuming o is positive.
o**(332/15)
Simplify ((u*u**(2/3))/u*u)**(-2/29)/(u*((u/(u**7/u*u))/u)/u*u*u**(-2/9))*u**(-5/2)/(u/(u/u**(2/7))*u)*u**(-2/5)*u/u**6 assuming u is positive.
u**(-56243/18270)
Simplify ((q/(q/((q/q**(-1))/q)))**(-39)*q**(1/4)/(q*(q*q**(-4/7))/q*q*q))/(q**(-3/10)/q**(3/4))**49 assuming q is positive.
q**(719/70)
Simplify (y*y**7)/(y*(y*y*(y/y**(6/11))/y*y)/y)*y*y**(2/15)/y*y*y**(5/2)*((y**1)**28)**(4/21) assuming y is positive.
y**(4789/330)
Simplify ((z*z**(2/3))**(3/25)/((z*z**(1/4))/z*z/(z**(-5/4)/z)))/(z/z**(-3/7)*z*z**(-3))**(1/2) assuming z is positive.
z**(-211/70)
Simplify (j**0)**(2/15)/((j**(-2/9)/j)/(j*j/(j*j*(j*j**(-2/11))/j)))*j**(-5)*((j/j**(2/3))/j)/j*j**6/j**(-4/7) assuming j is positive.
j**(907/693)
Simplify f/(f*f*f*f/(f*f**(-25/3))*f)*(f/(f**(7/11)/f)*f)/f*(f**(1/8)/f)**(-4) assuming f is positive.
f**(-427/66)
Simplify (h*h/h**(-22)*h*h/(((h**(2/17)/h)/h*h)/h)*h*(h/(h**(-9)*h))/h*h**(-4/5))**(-44) assuming h is positive.
h**(-134948/85)
Simplify b**(-4/9)*b*b*b**0*(b**(-1))**(-17/4)*(b/(b**(-2)*b))**25/(b*b*b/b**(-1/2)*b*(b/b**(-1/2))/b) assuming b is positive.
b**(1829/36)
Simplify ((h**1/(h**(-16)*h*h))/(h**(-2/7)/h**(1/10)))**9 assuming h is positive.
h**(9693/70)
Simplify ((r*r/r**(2/7)*r*(r/r**(-2/27))/r)/(r**6/r)**(-2/43))**(-40) assuming r is positive.
r**(-982040/8127)
Simplify ((j*j/(j**6*j)*j*j**(-29))/((j/((j*j*j/(j*j**(20/7)))/j))/j)**36)**46 assuming j is positive.
j**(-32154/7)
Simplify (((w/w**(1/10))/w)/w*w**(-4/7))/(w*w**(-1/5)/w*w**(-9))*(w/(w*w*w*w**(-4/5)*w)*w*w**(1/9))/(w*w**(1/2)/w)**(-11/3) assuming w is positive.
w**(2606/315)
Simplify ((j/(j/j**(-2/3)))**(-46))**(2/11)/((j/j**(-6)*((j/(j/j**3))/j)/j)/(j**4*((j*j**(-1))/j)/j*j)) assuming j is positive.
j**(19/33)
Simplify ((t**(-5/6))**(-9/4)*(t*t*t*t**(-2/5))/t**(-1/16))**0 assuming t is positive.
1
Simplify (r**(-5)/(r/r**(-2/11)))/((r*r**(-7)*r)/r**(-3))*(((((((r**1/r)/r)/r)/r)/r)/r)/r)**19/((r**(1/5)/r)/r**(6/5)) assuming r is positive.
r**(-1278/11)
Simplify ((m/(m*m**42))/(m**(-1/21)/m))/((m/(m**47*m)*m*m)/((m*m**24)/m*m)) assuming m is positive.
m**(610/21)
Simplify (l**(-1/14)/l*l/(l*(l*l**(-7))/l)*l**16/((l**(-8)*l*l)/l*l))**(11/4) assuming l is positive.
l**(4301/56)
Simplify (((r/(r*(r*r**(-2/7))/r))/(r*r**(4/7)))/(r/r**(-1/3)*r*r/r**(-2/17)))**29 assuming r is positive.
r**(-49039/357)
Simplify (p**1*p*p/((p*p**(-11))/p)*p)**(1/11)/(p**(2/3)/p**0*(p*p**5)/(p*p**(2/3)*p)) assuming p is positive.
p**(-29/11)
Simplify (((v/(v/v**(1/6)))/(v*(v**(2/15)*v)/v))/(v**(1/4)*v)**(-13))/(v/(v**(-4)/v*v*v)*v*(v/v**(3/2)*v)/v*(v/v**0)**(-14)) assuming v is positive.
v**(1487/60)
Simplify (g**6*g**(5/3))/(g**(1/8)*g**(-1/3)*g)*g*g*g**(2/7)*g*g**(2/3)/g*g**(-3/2)*g**6 assuming g is positive.
g**(2407/168)
Simplify ((((t/(t/(t*t**(-2/25)/t*t))*t*t)/t)/t)/(t**5/t*t)*(t**(-3/5))**49)**(-7/2) assuming t is positive.
t**(5859/50)
Simplify (((i*i*i*i/(i**(-3)*i))/i)/i**(1/4))**(-12)/((i**(-2/3)*i)/i*i/(i/i**(-1)))**(-38) assuming i is positive.
i**(-361/3)
Simplify q/(((q**(-1/6)*q*q)/q)/q)*q/(q/(q/(q**0*q)))*q*q*q*q**(-1)/q*q**6*(q**(-1)/(q*q**(-5)))/(q**(1/2)*q*q*q)**(-19) assuming q is positive.
q**(233/3)
Simplify (t**1*t**(-2/3))/(t**(1/2)*t)**9*((t*t**(1/2)/t)/(t*t/(t/(t*t**2))*t))/((t*t**0/t*t)/t**(-7)) assuming t is positive.
t**(-77/3)
Simplify u**(-36)/(u/(u*u/u**2))*((u/u**3)/u)/u**(2/23) assuming u is positive.
u**(-922/23)
Simplify ((w**28/w*w**(-17/5))/(w**(21/4)*w)**(4/9))**(-1/7) assuming w is positive.
w**(-937/315)
Simplify ((d/(d*d**(-1/4)*d))**(-22)/((d*d**(-34))/(d**13*d)))**(1/3) assuming d is positive.
d**(127/6)
Simplify z**(1/5)/(z**(-6)*z)*(z*z/z**(-2/3))**(-37)*((((z**5*z)/z)/z)**(-1/4))**28 assuming z is positive.
z**(-1822/15)
Simplify ((i**(5/2)/(i/i**(2/7)))/(i**(-3)/i**(-6)))/((i**0)**(-6/5))**10 assuming i is positive.
i**(-17/14)
Simplify ((n/n**(2/25))/n)**43/(n**4)**(1/65) assuming n is positive.
n**(-1138/325)
Simplify (q*q**(-4)*q)**44/(q/(q**(5/6)*q))**(-2/7) assuming q is positive.
q**(-1853/21)
Simplify ((z/z**3)/z**0)/((z**(1/3)/z)/z**1)*(z**4*z*z**(-2/5))**(-18) assuming z is positive.
z**(-1247/15)
Simplify (x*x**(-3/7)/x*x*x**29*(x**16)**34)**3 assuming x is positive.
x**(12045/7)
Simplify ((l/l**(12/7))**(-40)/((l/(l/l**(-1/17)))/l**(-12)))**(-9/7) assuming l is positive.
l**(-17811/833)
Simplify z/(z**20*z)*(z/((z*(z/(z*z/z**(-2/119)*z))/z)/z*z*z))/z*z**(2/17)*z**(-48) assuming z is positive.
z**(-7957/119)
Simplify ((t*t*t/t**(1/5)*t*t*t)/t**6)/((t**(-3)/t)/t**(5/4))*(t**(-1/3))**46*(((t**(-1/3)*t)/t)/t*t*t)**25 assuming t is positive.
t**(383/60)
Simplify (r/(r*r*r**(-23/5)*r)*r**2*(r**(5/9))**3)**(2/39) assuming r is positive.
r**(188/585)
Simplify (b**4/(b/b**(1/4)))/(b**(-1))**(7/9)*(b*(b**(-1/18)*b)/b*b*b**(3/5)*b)**(6/11) assuming b is positive.
b**(1073/180)
Simplify (o*o**(4/5)/o*(o/(o*o*o/o**23))/o*o* | {
"pile_set_name": "DM Mathematics"
} |
t the prime factors of 265447.
7, 13, 2917
List the prime factors of 188509.
131, 1439
What are the prime factors of 203145?
3, 5, 29, 467
List the prime factors of 5198631.
3, 353, 4909
What are the prime factors of 3243432?
2, 3, 149, 907
What are the prime factors of 30543724?
2, 23, 331997
What are the prime factors of 951949?
17, 55997
What are the prime factors of 252920?
2, 5, 6323
List the prime factors of 298861.
298861
What are the prime factors of 13404755?
5, 7, 13, 17, 1733
List the prime factors of 491338.
2, 47, 5227
What are the prime factors of 33415?
5, 41, 163
List the prime factors of 2229146.
2, 1114573
List the prime factors of 216169.
113, 1913
List the prime factors of 322938.
2, 3, 7, 11, 233
List the prime factors of 15160582.
2, 2689, 2819
What are the prime factors of 1536819?
3, 229, 2237
What are the prime factors of 10810179?
3, 37, 3607
What are the prime factors of 110558?
2, 7, 53, 149
What are the prime factors of 2628610?
2, 5, 83, 3167
List the prime factors of 541476.
2, 3, 13, 89
List the prime factors of 1789940.
2, 5, 31, 2887
List the prime factors of 963210.
2, 3, 5, 97, 331
List the prime factors of 232528.
2, 14533
List the prime factors of 861392.
2, 7, 7691
What are the prime factors of 7284873?
3, 2428291
List the prime factors of 1034384.
2, 13, 4973
List the prime factors of 9264280.
2, 5, 231607
What are the prime factors of 340609?
47, 7247
What are the prime factors of 606816?
2, 3, 7, 43
List the prime factors of 353369.
31, 11399
What are the prime factors of 399942?
2, 3, 17, 1307
List the prime factors of 287747.
287747
List the prime factors of 312835.
5, 19, 37, 89
What are the prime factors of 14223993?
3, 7, 677333
What are the prime factors of 310414?
2, 13, 11939
List the prime factors of 560561.
560561
What are the prime factors of 768907?
79, 9733
List the prime factors of 499435.
5, 59, 1693
List the prime factors of 1859304.
2, 3, 77471
What are the prime factors of 140323?
23, 6101
What are the prime factors of 7363420?
2, 5, 368171
What are the prime factors of 308553?
3, 7, 2099
List the prime factors of 610076.
2, 152519
List the prime factors of 567593.
13, 43661
What are the prime factors of 716831?
281, 2551
What are the prime factors of 26485869?
3, 659, 13397
What are the prime factors of 1342068?
2, 3, 7, 13, 1229
List the prime factors of 13171902.
2, 3, 19, 227, 509
What are the prime factors of 665432?
2, 223, 373
What are the prime factors of 3651669?
3, 7, 139
List the prime factors of 1488192.
2, 3, 23, 337
List the prime factors of 1865715.
3, 5, 29, 4289
List the prime factors of 13007434.
2, 11, 631, 937
List the prime factors of 98319.
3, 13, 2521
What are the prime factors of 9446902?
2, 4723451
What are the prime factors of 595443?
3, 41, 47, 103
What are the prime factors of 141484?
2, 7, 31, 163
List the prime factors of 11147543.
11, 53, 19121
List the prime factors of 1175263.
71, 16553
What are the prime factors of 501506?
2, 250753
What are the prime factors of 4297075?
5, 29, 5927
List the prime factors of 1707852.
2, 3, 31, 4591
What are the prime factors of 4858925?
5, 263, 739
List the prime factors of 214778.
2, 17, 6317
What are the prime factors of 180429?
3, 137, 439
What are the prime factors of 2824694?
2, 1412347
List the prime factors of 18400041.
3, 11, 107, 193
List the prime factors of 10960286.
2, 5480143
List the prime factors of 13594360.
2, 5, 13, 2011
List the prime factors of 2794509.
3, 310501
What are the prime factors of 476392?
2, 7, 47, 181
What are the prime factors of 6053884?
2, 43, 61, 577
What are the prime factors of 15521906?
2, 113, 173, 397
List the prime factors of 136144.
2, 67, 127
List the prime factors of 12731211.
3, 1151, 1229
List the prime factors of 498031.
101, 4931
What are the prime factors of 769506?
2, 3, 277, 463
List the prime factors of 429.
3, 11, 13
List the prime factors of 7645.
5, 11, 139
What are the prime factors of 68830?
2, 5, 6883
What are the prime factors of 2381347?
2381347
List the prime factors of 1848468.
2, 3, 31, 4969
What are the prime factors of 382151?
7, 11, 709
What are the prime factors of 20755691?
11, 17, 6529
List the prime factors of 549328.
2, 13, 19, 139
What are the prime factors of 464694?
2, 3, 41, 1889
List the prime factors of 21104799.
3, 67, 104999
List the prime factors of 19056594.
2, 3, 3176099
List the prime factors of 398669.
398669
List the prime factors of 3041816.
2, 79, 4813
What are the prime factors of 380895?
3, 5, 67, 379
What are the prime factors of 591317?
591317
List the prime factors of 26023302.
2, 3, 139, 3467
What are the prime factors of 32479?
32479
List the prime factors of 831246.
2, 3, 13, 10657
List the prime factors of 26661453.
3, 7, 13, 61, 1601
List the prime factors of 91445.
5, 18289
List the prime factors of 11134370.
2, 5, 13, 41, 2089
List the prime factors of 1287731.
1287731
List the prime factors of 8746727.
11, 72287
List the prime factors of 8761270.
2, 5, 7, 47, 2663
What are the prime factors of 2043154?
2, 1021577
What are the prime factors of 203824?
2, 12739
What are the prime factors of 1844497?
1844497
List the prime factors of 680708.
2, 7, 23, 151
List the prime factors of 11610406.
2, 19, 89, 3433
What are the prime factors of 1298790?
2, 3, 5, 14431
What are the prime factors of 1574565?
3, 5, 104971
List the prime factors of 930046.
2, 13, 35771
List the prime factors of 466242.
2, 3, 7, 17, 653
List the prime factors of 5336.
2, 23, 29
What are the prime factors of 4204461?
3, 1401487
List the prime factors of 219062.
2, 17, 379
What are the prime factors of 27902?
2, 7, 1993
What are the prime factors of 2269243?
197, 11519
What are the prime factors of 802306?
2, 467, 859
What are the prime factors of 2693838?
2, 3, 7, 31, 2069
List the prime factors of 391745.
5, 47, 1667
What are the prime factors of 4306309?
7, 615187
What are the prime factors of 1982136?
2, 3, 13, 6353
What are the prime factors of 1156999?
47, 103, 239
What are the prime factors of 521043?
3, 29, 53, 113
List the prime factors of 2575403.
29, 88807
What are the prime factors of 2463841?
2463841
List the prime factors of 491027.
23, 37, 577
List the prime factors of 1148533.
41, 109, 257
List the prime factors of 194710.
2, 5, 19471
List the prime factors of 15965675.
5, 11, 58057
List the prime factors of 3234372.
2, 3, 409, 659
What are the prime factors of 3842168?
2, 11, 43661
List the prime factors of 4907085.
3, 5, 41, 79, 101
List the prime factors of 929162.
2, 13, 2749
List the prime factors of 308850.
2, 3, 5, 29, 71
List the prime factors of 94572.
2, 3, 37, 71
What are the prime factors of 2697169?
17, 158657
What are the prime factors of 112738?
2, 56369
What are the prime factors of 14998487?
7, 2142641
List the prime factors of 24824423.
13, 109, 17519
What are the prime factors of 6566?
2, 7, 67
List the prime factors of 11880753.
3, 3960251
What are the prime factors of 6459525?
3, 5, 19, 1511
List the prime factors of 1614.
2, 3, 269
List the prime factors of 1002437.
643, 1559
List the prime factors of 2383756.
2, 595939
List the prime factors of 280475.
5, 13, 863
What are the prime factors of 596474?
2, 298237
List the prime factors of 16438463.
31, 61, 8693
What are the prime factors of 271411?
7, 29, 191
List the prime factors of 412970.
2, 5, 61, 677
What are the prime factors of 222538?
2, 111269
What are the prime factors of 14443969?
14443969
List the prime factors of 100894.
2, 61, 827
What are the prime factors of 271204?
2, 67801
What are the prime factors of 106114?
2, 17, 3121
List the prime factors of 21139843.
4003, 5281
What are the prime factors of 18812549?
7, 47, 211, 271
List the prime factors of 10134333.
3, 11, 102367
What are the prime factors of 315654?
2, 3, 52609
List the prime factors of 6550494.
2, 3, 1091749
What are the prime factors of 5188809?
3, 431, 4013
List the prime factors of 1115883.
3, 37, 1117
List the prime factors of 264044.
2, 11, 17, 353
What are the prime factors of 3157594?
2, 11, 143527
List the prime factors of 305468.
2, 76367
What are the prime factors of 3928015?
5, 7, 13, 89, 97
List the prime factors of 1662738.
2, 3, 7, 11, 59, 61
List the prime factors of 1 | {
"pile_set_name": "DM Mathematics"
} |
or a(z).
-2*(z + 1)*(z + 8)*(z + 66)/7
Solve -11/2*z**2 - 1/2*z**5 - 29/2*z**3 + 11/2*z**4 + 0 + 15*z = 0 for z.
-1, 0, 1, 5, 6
Let m(t) be the first derivative of 0*t - 1/40*t**6 - 2/9*t**3 - 1/6*t**4 + 24 - 2*t**2 + 5/36*t**5. Let z(i) be the second derivative of m(i). Factor z(a).
-(a - 2)*(a - 1)*(9*a + 2)/3
Suppose 5*d + 165 = 5*s + 6*d, -4*d + 33 = s. Determine v so that 3*v**5 - 120*v**2 + 84*v**2 - s*v**4 + 6*v**4 + 60*v**3 = 0.
0, 1, 2, 6
Suppose -21*s + 17 = 40*x - 42*x, -5*x + 3*s + 7 = 0. Suppose 16/5*w**x - 12*w**4 + 0 + 48/5*w**3 + 0*w + 16/5*w**5 = 0. Calculate w.
-1/4, 0, 2
Let b(o) = 14*o**2 - 233*o - 82. Let v be b(17). Determine a so that 0 + 1/5*a**v + 13/5*a - 14/5*a**2 = 0.
0, 1, 13
Let s be (-6)/24 + 55/(-4). Let t = s + 17. Determine b so that 2*b**3 - 2*b**3 - t*b**3 + 2*b + 2*b**3 + b**2 = 0.
-1, 0, 2
Let h(t) = -2*t**2 + 14*t + 21. Let f(z) = -z**2 + 7*z + 12. Suppose -9*s + 14 + 31 = 0. Let u(c) = s*f(c) - 2*h(c). Let u(g) = 0. Calculate g.
-2, 9
Determine u, given that -2*u**2 - 8*u**2 + 8*u**4 - 2*u - 2*u**4 + 14*u**3 - 12*u + 4*u**4 = 0.
-7/5, -1, 0, 1
Factor 729/4 + 9/4*u**4 + 3/4*u**5 + 243/4*u - 81/2*u**2 - 27/2*u**3.
3*(u - 3)**2*(u + 3)**3/4
Let b(j) = 4*j**4 - 2*j**3 - 3*j**2 + 3*j - 3. Let o(g) = -8*g**4 + 2*g**3 + 5*g**2 - 5*g + 5. Let v(n) = -5*b(n) - 3*o(n). Suppose v(s) = 0. What is s?
-1, 0
Let g be (-2 - -5) + (22 - 7). Let b = 23 - g. Let -24 - w**2 + 24 + b*w - 4*w**2 = 0. Calculate w.
0, 1
Let a be (-57)/15 + (324/(-9))/(-9). Let y be 1/(-1) - ((-108)/(-45))/(-2). Let -2/5*i**4 + a*i**3 + y*i**5 + 0*i**2 + 0 + 0*i = 0. What is i?
0, 1
Let n(t) be the first derivative of t**5/20 + 5*t**4/12 + 2*t**3/3 + 8*t - 39. Let a(d) be the first derivative of n(d). Factor a(f).
f*(f + 1)*(f + 4)
Let i = -925328 + 4626654/5. Determine c, given that i*c - 6/5*c**3 + 12/5 + 2/5*c**4 - 6/5*c**2 = 0.
-1, 2, 3
Let v(l) be the third derivative of -l**6/24 - 9*l**5/4 - 215*l**4/12 + 440*l**3 + 185*l**2 + 9*l. Let v(k) = 0. What is k?
-22, -8, 3
Suppose 85 = 5*x - 10*r, -41 = -48*x + 46*x + 5*r. Suppose -27/5*l**2 + x*l**3 + 9/5*l + 3/5 = 0. What is l?
-1/5, 1
Let r(p) be the first derivative of -p**4/24 - p**3/2 + 3*p**2/4 + 27*p/2 - 9557. Factor r(x).
-(x - 3)*(x + 3)*(x + 9)/6
Let g(y) be the first derivative of y**4/10 - 236*y**3/5 - 2151*y**2/5 - 1296*y + 5106. Find v such that g(v) = 0.
-3, 360
Let g(c) be the first derivative of -1/6*c**4 - 86 + 0*c**2 + 0*c + 1/9*c**6 - 10/27*c**3 + 2/9*c**5. Solve g(m) = 0 for m.
-5/3, -1, 0, 1
Suppose -5*j + 8*z + 26 = 11*z, -5*z = -5*j + 50. Suppose j*v**2 + 10*v - 4*v**2 + 12*v + 23*v + 42 = 0. Calculate v.
-14, -1
Let -2560*o + 16384 + 68*o**2 - 1/2*o**3 = 0. Calculate o.
8, 64
Let f(w) be the third derivative of 49/36*w**3 + 0*w + 10*w**2 - 1/60*w**6 - 6 + 7/12*w**4 + 1/1260*w**7 + 11/180*w**5. Factor f(d).
(d - 7)**2*(d + 1)**2/6
Let g = -38268/7 + 115490/21. Factor 56*o - 8*o**3 + g + 44/3*o**2 + 2/3*o**4.
2*(o - 7)**2*(o + 1)**2/3
Determine h so that -312*h - 1718*h**2 - 1342*h**3 - 28 + 638*h**2 - 684*h**4 + 406*h**3 - 472*h**3 - 72*h**5 = 0.
-7, -1, -1/3, -1/6
Let b(x) = x**2 - 8*x. Let k(q) = 41*q**2 - 17*q**2 - 5*q**2 - 64*q - 11*q**2. Let a(r) = -51*b(r) + 6*k(r). Find s, given that a(s) = 0.
0, 8
Let y be 90/5 + (9 - 12). Let r(l) be the first derivative of -2/65*l**5 + y + 0*l - 3/26*l**4 + 3/13*l**2 + 2/39*l**3. Let r(t) = 0. What is t?
-3, -1, 0, 1
Let l(i) = -i + 26. Let g be l(22). Find d such that 0*d + 3*d**g + 0*d + 4*d - 3*d**2 - d - 3*d**3 = 0.
-1, 0, 1
Let y(o) be the first derivative of o**5 - 135*o**4/4 + 125*o**3 - 365*o**2/2 + 120*o - 1410. Factor y(i).
5*(i - 24)*(i - 1)**3
Let x(w) be the third derivative of -w**5/60 - 22*w**4/3 + 59*w**3/2 - 110*w**2 + 10*w. What is p in x(p) = 0?
-177, 1
Let f(y) be the third derivative of 16335*y**5/26 + 330*y**4/13 + 16*y**3/39 + 12*y**2 - 11*y. Find s, given that f(s) = 0.
-4/495
Let v(q) be the first derivative of 15*q**4/16 + 25*q**3/6 - 5*q**2 - 401. Factor v(l).
5*l*(l + 4)*(3*l - 2)/4
Let f(u) be the third derivative of 1/35*u**5 + u**2 + 32 + 0*u**3 + 1/280*u**6 - 1/490*u**7 - 1/14*u**4 + 0*u. Factor f(z).
-3*z*(z - 2)*(z - 1)*(z + 2)/7
Solve -95*d**2 - 207*d - 137 + 112 + 87*d = 0.
-1, -5/19
Suppose 89*k - 87*k + 96 = 0. Let g be (k/32)/((-3)/4). Find t such that 30*t**3 + 128/15*t + 8/15 + 38*t**g = 0.
-1, -2/15
Let i(h) be the second derivative of h**7/13860 + h**6/360 + 3*h**5/110 + 7*h**4/6 + h**3/3 - 200*h. Let d(g) be the third derivative of i(g). Factor d(w).
2*(w + 2)*(w + 9)/11
Let i(p) be the third derivative of -2*p**7/105 - 77*p**6/30 - 74*p**5/15 + 76*p**4/3 - 3*p**2 + 2*p + 660. Factor i(o).
-4*o*(o - 1)*(o + 2)*(o + 76)
Suppose -15 = -4*a - a. Suppose -3*g + 18 = a*g. Factor -59*o - 3*o**2 + 56*o - 3*o**2 + 0*o**3 - 3*o**g.
-3*o*(o + 1)**2
Let n(a) be the third derivative of a**6/420 + 109*a**5/210 - 130*a**4/3 + 3836*a**3/3 - 6*a**2 + 890*a. Factor n(s).
2*(s - 14)**2*(s + 137)/7
Let z(p) be the first derivative of p**5/20 - 17*p**4/16 + 17*p**3/4 + 157*p**2/8 + 22*p + 5860. Factor z(q).
(q - 11)*(q - 8)*(q + 1)**2/4
Factor 588*h**3 + 597*h**3 - 2350*h**3 + 597*h**3 - 3*h**4 + 589*h**3.
-3*h**3*(h - 7)
Find y, given that -115200/7 - 964/7*y**3 - 117122/7*y**2 - 2/7*y**4 - 231360/7*y = 0.
-240, -1
Let o = -3404/7 - -34047/70. Let n(v) be the first derivative of o*v**4 + 14 + 0*v**2 + 0*v + 2/15*v**3. Factor n(k).
2*k**2*(k + 1)/5
Let t be 90/(-35) + 2 - (-32)/7. Let d be -1 - (-10)/6*3. Factor -7 - 3*v**t - 16*v + v**d + 9 + 4 + 12*v**2.
-2*(v - 1)**3*(v + 3)
Let d be -4 + 8 - (-1 + 12). Let m be d + 9 + (4 - 0). What is k in m*k + 90*k**2 - 7 - 3 + 19*k = 0?
-1/2, 2/9
Let u(s) be the third derivative of -s**2 - 23/270*s**5 + 0*s + 64/3*s**3 - 1/1080*s**6 - 20/9*s**4 + 27. Let u(p) = 0. Calculate p.
-24, 2
Solve -27/2*x**4 - 3/2*x**5 - 99*x + 147/2*x**2 + 81/2*x**3 + 0 = 0 for x.
-11, -2, 0, 1, 3
Let b be ((-4)/30)/(41 - 10400/250). Determine v so that -b*v**3 - 4 - 14/3*v - 16/9*v**2 = 0.
-3, -2
Suppose -t + 58 = -5*l, -6*t + l + 338 = -t. Let u be 64/40 - 2 - t/(-20). Suppose 6/11*a**4 - 4/11 - 14/11*a + 14/11*a**u - 2/11*a**2 = 0. Calculate a.
-2, -1, -1/3, 1
Let d = 9533/33096 - 11/4728. Suppose 0 - 12/7*i - d*i**3 + 2*i**2 = 0. What is i?
0, 1, 6
Suppose 53*i**3 + 8*i**4 - 53*i + 101*i**2 + 6 - 59 - 6*i**4 - 49 - i**4 = 0. What is i?
-51, -2, -1, 1
Factor 4588/5*a + 2631218/5 + 2/5*a**2.
2*(a + 1147)**2/5
Let f(y) = y**2 - 2*y. Let k(q) = q**2 + 78*q - 160. Let m(b) = 16*b - 60. Let c be m(4). Let x(g) = c*f(g) + k(g). Factor x(r).
5*(r - 2)*(r + 16)
Let y(z) be the first derivative of -z**5/50 + z**4/10 - z**3/10 - 1150. Let y(q) = 0. Calculate q.
0, 1, 3
Let t(n) be the first derivative of n**6/120 - 3*n**5/5 + 18*n**4 - 2*n**3/3 - 4*n - 6. Let m(x) be the third derivative of t(x). Factor m(r).
3*(r - 12)**2
Let l(p) be the second derivative of -p - 1/210*p**6 + 0*p**2 - 17 - 3/7*p**3 - 1/4*p**4 - 2/35*p**5. What is v in l(v) = 0?
-3, -2, 0
Factor -11907/5*i**3 - 16821*i**2 - 84/5 - 5304/5*i.
-3*(i + 7)*(63*i + 2)**2/5
Let b = 713179/54 - 13207. Let j(n) be the second derivative of 21*n + 0 - 1/135*n**6 + 2/9*n**2 - 1/30*n**5 + 1/9*n**3 - b*n**4. Let j(t) = 0. What is t?
-2, -1, 1
Let x(j) be the second derivative of j**4/42 + 2144*j**3/21 + 2143*j**2/7 - 8890*j. Factor x(m).
2*(m + 1)*(m + 2143)/7
Factor 64*r - 2560 - 2/5*r**2.
-2*(r - 80)**2/5
Suppose -63 = 11*h - 32*h. Let s(l) be the first derivative of -3 + 1/6*l**h + l + 3/4*l**2. Find m, given that s(m) = 0.
-2, -1
Let i be (2 + (-22)/14)/((-10916)/(-38206)). What is p in 0 + 21/2*p**4 - 21/2*p**2 + 27/2*p**3 + i*p**5 - 15*p = 0?
-5, -2, -1, 0, 1
Suppose 3*m**5 + 0*m + 396*m**3 - 1107/2*m**2 + 0 - 159/2*m**4 = 0. Calculate m.
0, 3, 41/2
Let l(q) be the first derivative of q**6/30 + 3*q**5/25 - 3*q**4/20 - 7*q**3/15 + 3*q**2/5 - 1143. Find n, given that l(n) = 0.
-3, -2, 0, 1
Suppose -16*d - 30 + 170 = 19*d. Let n(r) be the second derivative of 0*r**2 - 4*r + 1/9*r**d + 0 - 2/45*r**6 - 1/15*r**5 + 0*r**3 + 2/63*r**7. Factor n(q).
4*q**2*(q - 1)**2*(q + 1)/3
Let i = -189649 - -379307/2. Factor -i*q + 9/2*q**3 + 0 - 3/2*q**2 + 3/2*q**4.
3*q*(q - 1)*(q + 1)*(q + 3)/2
Let t(v) be the first derivative of -1/8*v**4 + 13*v + | {
"pile_set_name": "DM Mathematics"
} |
What is m(-12)?
2271
Let a(l) = -2*l**3 - 181*l**2 + 456*l - 824. Determine a(-93).
13
Let n(k) = k**3 + 22*k**2 + 91*k - 96. Determine n(-15).
114
Let d(h) = -2*h**2 - 490*h - 19802. What is d(-51)?
-14
Let l(n) = 358*n - 3640. Determine l(10).
-60
Let m(v) = -v**3 + 35*v**2 + 68*v - 444. What is m(-7)?
1138
Let m(f) = 2913*f - 725327. What is m(249)?
10
Let h(q) = -q**3 - 74*q**2 - 1446*q - 13906. Give h(-51).
17
Let q(p) = 229*p**2 - 12135*p - 156. Determine q(53).
-50
Let l(j) = j**3 + 391*j**2 + 2431*j + 950515. Determine l(-391).
-6
Let d(q) = -4*q**2 - 337*q - 5535. What is d(-58)?
555
Let z(t) = t**2 + 248300*t + 9682148. What is z(-39)?
-31
Let t(p) = -p**2 - 186*p - 7119. Calculate t(-129).
234
Let g(s) = 22*s**2 - 980*s - 2290. What is g(48)?
1358
Let m(z) = -z**3 + 59*z**2 - 10*z + 575. Determine m(59).
-15
Let m(f) = -7639*f - 68720. Give m(-9).
31
Let j(o) = -10651*o + 10663. Determine j(1).
12
Let y(a) = 4*a**3 - 37*a**2 - 1664*a + 15049. What is y(9)?
-8
Let v(z) = -4*z**2 + 76*z + 3559. What is v(-21)?
199
Let i(o) = 4*o**2 - 193*o + 1631. Calculate i(37).
-34
Let t(w) = 149*w - 4706. What is t(22)?
-1428
Let x(r) = -12172*r - 12016. Give x(-1).
156
Let j(g) = -2*g**3 - 128*g**2 - 2030*g + 7. Calculate j(-36).
511
Let a(j) = -j**2 - 1481*j - 464624. Give a(-451).
-94
Let o(q) = 2*q**3 + 10*q**2 - 17095*q - 442. Determine o(90).
8
Let s(g) = 20*g**2 - 4302*g + 221233. Give s(130).
-27
Let u(a) = -5796*a - 42027. What is u(-7)?
-1455
Let q(c) = 35*c**3 + 4707*c**2 - 34659*c - 9. What is q(7)?
26
Let u(g) = -4472*g - 63023. Calculate u(-14).
-415
Let u(a) = -1123*a + 12216. Calculate u(11).
-137
Let f(q) = 20*q**2 + 111*q + 689. Give f(-6).
743
Let a(h) = -30*h**2 + 1352*h - 2587. What is a(2)?
-3
Let w(h) = -h**3 + 44*h**2 - 2051*h + 98531. Determine w(46).
-47
Let k(q) = 55*q**2 + 1651*q + 505. Determine k(-26).
-5241
Let l(g) = 370426*g - 1111211. Determine l(3).
67
Let g(k) = 174*k**2 - 1747*k - 2. What is g(10)?
-72
Let y(t) = -3033*t + 806430. Give y(266).
-348
Let t(l) = -99*l**3 - 2476*l**2 - 5*l + 547. Calculate t(-25).
47
Let d(x) = 5212*x + 10642. What is d(-2)?
218
Let d(y) = -y**2 - 827*y + 387771. Give d(334).
-3
Let d(w) = -w**3 + 349*w**2 + 5457*w + 71. Give d(-15).
116
Let y(q) = q**2 + 16*q + 342. Give y(-47).
1799
Let g(z) = 25*z**2 - 103*z - 2295. What is g(-7)?
-349
Let t(y) = -y**3 - 92*y**2 - 546*y - 9530. Calculate t(-87).
127
Let k(s) = -205*s**3 - 1637*s**2 + 22*s - 16. What is k(-8)?
0
Let n(k) = 12*k**3 - 152*k**2 - 219*k - 74. Determine n(14).
-4
Let n(s) = -11269*s + 100798. Determine n(9).
-623
Let k(f) = -f**2 + 74*f + 698. Determine k(0).
698
Let z(n) = 7*n**2 - 20813*n + 699541. Determine z(34).
-9
Let t(h) = 476619*h - 17158290. Calculate t(36).
-6
Let q(z) = z**2 - 16147*z + 403094. Give q(25).
44
Let u(o) = 2*o**3 - 807*o**2 + 2036*o - 12423. Calculate u(401).
8
Let r(u) = 10943*u + 350173. Give r(-32).
-3
Let l(n) = -2386*n + 474817. Calculate l(199).
3
Let k(z) = -32461*z - 3278570. Give k(-101).
-9
Let o(b) = -1124*b - 631. What is o(-1)?
493
Let z(y) = -2*y**2 - 8190*y - 814576. Give z(-102).
-4
Let c(w) = -294*w**2 - 1180*w + 5. Determine c(-4).
21
Let v(g) = -1969*g**2 - 7822*g + 182. Calculate v(-4).
-34
Let t(o) = -83826*o - 4442775. What is t(-53)?
3
Let g(o) = -754*o - 57276. Give g(-77).
782
Let y(a) = 4*a**2 + 6*a + 440. Determine y(0).
440
Let i(h) = -3*h**3 + 1372*h**2 + 13519*h + 11214. Determine i(467).
6
Let b(n) = -n**3 + 185*n**2 + 292*n + 15226. What is b(187)?
-108
Let n(d) = 2057*d - 738634. What is n(359)?
-171
Let c(a) = 2*a**2 + 682*a + 22427. What is c(-37)?
-69
Let p(l) = l**2 - 28*l - 342. Give p(-11).
87
Let v(j) = 2721*j - 10972. Calculate v(4).
-88
Let i(u) = 23671*u + 354668. What is i(-15)?
-397
Let j(c) = 5*c**2 + 7531*c - 15064. Give j(2).
18
Let n(i) = i**3 + 84*i**2 - 418*i - 29767. Calculate n(-85).
-1462
Let u(d) = -2*d**3 - 674*d**2 - 9039*d + 62. Calculate u(-14).
-8
Let c(k) = 10*k**3 - 386*k**2 - 25113*k + 53. Calculate c(73).
-20
Let b(z) = 3333*z - 586584. Determine b(176).
24
Let j(u) = -25866*u - 543168. What is j(-21)?
18
Let s(o) = -176425*o + 7233418. Calculate s(41).
-7
Let t(h) = 85452*h - 341302. Give t(4).
506
Let i(h) = 90*h**2 - 9037*h - 5351. What is i(101)?
2
Let h(y) = -y**2 - 46127*y + 3141251. Give h(68).
-9
Let t(q) = -379*q + 6539. Calculate t(19).
-662
Let g(y) = -14995*y + 59982. Calculate g(4).
2
Let q(h) = -2405*h - 21709. Give q(-9).
-64
Let o(k) = 7246*k - 152171. Calculate o(21).
-5
Let c(x) = -8287*x - 654662. Calculate c(-79).
11
Let n(u) = 2*u**2 + 74479*u - 74481. Give n(1).
0
Let d(a) = 5*a**2 - 1180*a - 3589. Calculate d(-3).
-4
Let b(t) = -38*t**3 + 383*t**2 - 66*t + 387. Give b(10).
27
Let k(p) = 115600*p + 578002. Give k(-5).
2
Let x(w) = 17*w**2 - 234*w - 859. Give x(-3).
-4
Let w(k) = -145*k**2 - 1339*k + 44. Determine w(-8).
1476
Let z(q) = 2*q**3 + 19*q**2 + 343*q - 113. What is z(-10)?
-3643
Let f(g) = -423*g**2 - 108287*g + 256. What is f(-256)?
0
Let k(h) = h**3 + h**2 + 7. Calculate k(-6).
-173
Let t(w) = -118*w**2 + 54*w - 406. Determine t(5).
-3086
Let j(w) = -3*w**2 - 917*w - 13669. What is j(-15)?
-589
Let g(h) = -704843*h + 2114517. Give g(3).
-12
Let g(h) = 2*h**3 + 44*h**2 + 64*h + 391. Calculate g(-21).
-71
Let h(p) = p**2 - 786*p + 625. Determine h(0).
625
Let h(d) = -4*d**3 - 32*d**2 + 24*d - 122. Give h(-8).
-314
Let r(k) = -47*k**3 - 20448*k**2 - 1311*k - 2545. Calculate r(-435).
65
Let a(y) = y**3 + 166*y**2 + 4999*y + 5833. Calculate a(-127).
-9
Let z(u) = u**3 + 55*u**2 - 256*u + 37. Calculate z(4).
-43
Let t(p) = 3*p**2 - 219*p + 3559. Calculate t(64).
1831
Let b(h) = -2*h**3 - 289*h**2 + 93*h - 7584. Give b(-145).
-44
Let n(z) = -2*z**2 + 112855*z + 1241654. Give n(-11).
7
Let m(t) = -1170*t + 507778. Calculate m(434).
-2
Let j(d) = -161*d - 322. Give j(-6).
644
Let b(v) = 247815*v - 17099227. Determine b(69).
8
Let k(t) = 559*t + 64846. Calculate k(-116).
2
Let w(j) = -6*j**2 - 317*j - 4735. Determine w(-22).
-665
Let p(u) = -54*u**2 - 13174*u + 496. What is p(-244)?
8
Let c(y) = 9522*y - 142853. Give c(15).
-23
Let j(n) = 6923*n - 1052298. What is j(152)?
-2
Let t(m) = 11*m**2 - 1455*m + 5644. Give t(4).
0
Let w(x) = -104*x + 11981. Give w(116).
-83
Let o(b) = -2*b**2 - 385*b + 485. Determine o(0).
485
Let p(f) = -9*f**2 - 410*f + 2254. Give p(5).
-21
Let n(j) = 89*j - 449. Give n(-10).
-1339
Let t(k) = 2*k**2 + 21*k - 55. Determine t(3).
26
Let g(x) = 4*x**2 + 132*x + 1071. Determine g(-17).
-17
Let d(r) = 22*r**2 - 87*r + 172. Determine d(2).
86
Let q(i) = 71623*i + 358027. What is q(-5)?
-88
Let g(i) = 280*i**2 + 48720*i + 15. Give g(-174).
15
Let y(g) = -7*g**2 - 155*g + 306. What is y(-23)?
168
Let v(k) = -142*k**2 - 2705*k + 115. Calculate v(-19).
248
Let x(m) = 581*m - 102292. What is x(176)?
-36
Let z(g) = 5740*g**2 + 63140*g + 5. Give z(-11).
5
Let p(s) = 5*s**2 + 226*s - 1242. Determine p(-47).
-819
Let h(d) = -7*d**2 + 9*d + 105. Determine h(13).
-961
Let m(b) = 14*b**2 - 8467*b + 15036. Give m(603).
-39
Let t(o) = 2*o**2 - 281*o + 1144. Calculate t(136).
-80
Let q(a) = 763*a**3 + 3*a**2 - 56*a - 59. Determine q(-1).
-763
Let w(k) = 3*k**3 + 2099*k**2 - 12707*k + 25. Give w(6).
-5
Let l(d) = 2*d**3 - 73*d**2 - 4*d - 27. Determine l(0).
-27
Let v(a) = a**2 - 74*a + 1320. Give v(36).
-48
Let q(k) = k**3 + 16*k**2 + 2459*k + 39298. What is q(-16)?
-46
Let s(l) = 1034*l - 1642. Calculate s(5).
3528
Let m(y) = -20058*y + 842429. Give m(42).
-7
Let u(j) = -353*j**2 + 97*j + 94. What is u(-1)?
-356
Let m(g) = 478*g - 182721. Calculate m(382).
-125
Let j(i) = i**3 + 137*i**2 - 17400*i + 3139. What is j(80)?
-61
Let w(h) = -h**3 - 55*h**2 - 150*h + 133. What is w(-52)?
-179
Let i(o) = -2*o**3 + 9*o**2 + 49*o + 342. Calculate i(9).
54
Let w(z) = -z**3 + 96*z**2 - 482*z + 2451. Give w(91).
-6
Let s(r) = -1940*r - 19991. Calculate s(-10).
-591
Let n(w) = -w**2 - 15570*w - 605795. Determine n(-39).
-86
Let b(p) = 20*p**3 + 2*p**2 - 43*p - 111. What is b(-2)?
-177
Let d(r) = -108835*r + 2176700. Calculate d(20).
0
Let f(v) = 47*v**3 + 2*v**2 + 307*v + 614. What is f(-2)?
-368
Let d(z) = -3*z**3 - 163*z**2 - 212*z + 158. Calculate d(-53).
158
Let b(g) = 40856*g + 40844. Give b(-1).
-12
L | {
"pile_set_name": "DM Mathematics"
} |
477 = 96*a - 95*a, 4*a = -f + 41 for a.
2
Solve -5*a - 187*r + 191*r = 23, -68 = 11*a - 3*r for a.
-7
Solve 87*g = 5*h - 21 + 306, 3*h = -2*g + 2*h + 40 for g.
5
Solve 3 = 5*n + 48, -11*o - 23 = 88*n - 87*n - 3 for o.
-1
Solve 348*v - 4*o - 520 = 434*v, -2*v + 1027*o = 1022*o + 7 for v.
-6
Solve 25*o + 45 = 22*o + 10*q, -9*q + 10*q = -5*o - 36 + 14 for o.
-5
Solve 0 = 18*g - 15*g - 17*d + 24 - 6 - 111, -3*g = -5*d - 57 for g.
14
Solve -3*c + 2*d = 14, -39*d + 44*d - 9 = c for c.
-4
Solve 8*i - 746 = -2*k, -147*i = 146*i - 291*i + 9*k - 229 for i.
92
Solve -16*m - 99 = f - 20*m - 20, 2*m = -3*f + 29 for f.
-3
Solve 481*p = 5*c + 431*p - 2235, -3*p = 2*c + 141 for c.
-3
Solve 4*x - x - 4 + 11 = -2, 2*u + 6*x = -28 for u.
-5
Solve -20 = 5*f - 1658*o + 1653*o, 7*f = -5*o + 44 for f.
2
Solve -3*x + 3*z - 131 + 18 = -7*z, -x + 3*z = -5*x + 29 for x.
-1
Solve -5*c - 98 = -3*g, 3*g + 1273*c - 1457*c = -260 for g.
36
Solve 7*q = 4*q + k + 858 - 843, -13*k + 5 = q for q.
5
Solve 2*c - 67448 + 67473 = -9*w, 3*c - 36 = 11*w for w.
-3
Solve 4*q + 2*h + 904 = 794, 0 = 184*q - h - 4*h + 4575 for q.
-25
Solve -783*u = p - 811*u + 41, -p - 5*u - 8 = 0 for p.
-13
Solve 8*p + 2*z + 181 = 59, -344*z + 351*z = -5*p - 105 for p.
-14
Solve 4*g - 7*g = -3*o + 5*o + 2 - 2, -6*g + 12 = 2*o for g.
4
Solve -5*r = -115, -2145*r + 93 = 11*u - 2140*r for u.
-2
Solve 4*k = j + 14, -4*j = 23*k - 13891 + 13869 for k.
2
Solve 0 = -3*a - a - 3*r - 4, -5*r = a - 5411 + 5429 for a.
2
Solve -j + 81*s = 668 - 13, -84*j + 10 = -82*j + 3*s - 0 for j.
-7
Solve f + 3*h = 18, -23*h + 29*h = -3*f - f + 90 for f.
27
Solve 3*x + 19 - 42 = 3*v - 29, 4*v + 2*x + 22 = 0 for v.
-3
Solve -27*d + 5*u = 5308 - 5178, 2*d - 9*u + 1 = 0 for d.
-5
Solve 10*w = 2*m - 380, -31 = w + 10 - 3 for m.
0
Solve -9*v + 9401 - 4702 = 5*a + 4703, 4*a = -3*v + 1 for v.
-1
Solve 0 = 3*s + 5*j + 34, -3*s + 45*j + 26764 = 26698 for s.
-8
Solve -29*y + 24*y + 231 + 99 = -5*n, -2*n = -y + 127 for n.
-61
Solve 23611*d = 23607*d - 120, -4*z + 5*d + 134 = 0 for z.
-4
Solve 90*z - 91*z - 131*u = 397, -4*u - 4 = -2*z for z.
-4
Solve -116*y + 120*y = 40, 0 = 100*q + 5*y + 50 for q.
-1
Solve 5*o - 265 = -5*q, -145*o + 5965 = -26*o + 4*q + q for o.
50
Solve -47*t = -t + 62*t - 5*i - i + 654, 2*t + 4*i - 66 = 0 for t.
-5
Solve -24*b + 5 = -3*g - 21*b - 7, 226 = 29*g + 72*g - 11*b for g.
3
Solve 0 = -4*f - 20, -3*s + 4320*f = 4318*f + 14 for s.
-8
Solve 15*q = -p + 123, -3*p + 6 = -15*q + 12*q + 25 - 4 for q.
8
Solve -4*f - 68*d + 132 = 0, 4*f - 9 = -4*d + 59 for f.
16
Solve 0 = c + 2*f - 29, 4*c + 4*f - 511 + 447 = 0 for c.
3
Solve 0 = 4*s - 2*l + 104, 7*s = -56642*l + 56646*l - 181 for s.
-27
Solve 0 = g - 3, 4*m - 9 - 32 = -5*g + 6 for m.
8
Solve -b = 5*m - 12, 13*m - 5*b + 21 = 16*m - 6*b - 3*b for m.
3
Solve 7*h = -5*p + 97, 6*h - 19*h = -8*h + 3*p - 67 for h.
11
Solve -5*a + 5*x = 13 + 23 + 24, -3*a + 2*x - 21 = 0 for a.
3
Solve -58*m + 11 = -4*c + 6*c - 57*m, -3*m + 40 = -c for c.
-1
Solve 5*u = -3*y - 16, -20384*u - 6*y - 45 = -20387*u for u.
1
Solve 3249*r = -4*c + 3245*r + 20, 0 = 7*c + 10*r - 26 for c.
8
Solve -75 - 60 + 46 = 5*b + k, -32*b + 94 = -2*k for b.
-2
Solve -3*g - 39 = 3*u, -59*g - 11 = -118*g + 64*g - u for g.
-4
Solve -53*m - 3*w = -41 - 18, 5*m + w - 18 + 11 = 0 for m.
1
Solve 206*p - 201*p = -3*o - 64, -5*p - 2*o = -0*p + 51 for p.
-5
Solve -k + 9*p = 24*p - 82, -k + 49 = 3*p - p + 2*p for k.
37
Solve -4*o - 7*d = d + 36, 3*d + 24 = 6*o - 11*o for o.
-3
Solve 0 = 2*h - 2*g + 10, 158851*g = 4*h + 158837*g + 100 for h.
3
Solve -6*a + 20*x - 398 = -954, 0 = -2*x - 58 for a.
-4
Solve -2*q - 5*i + 85 = -7*q, 98 + 32 = -11*q - 8*i for q.
-14
Solve -5*n - 6 = -2*p, -3*p + 9 = -14377*n + 14370*n for n.
0
Solve -131*k + c = 133*k - 267*k - 140, -2*c = 22*k + 1000 for k.
-45
Solve -11*v + 2*g - 12 = -13*v, 8*g - 5*g - 34 = -7*v for v.
4
Solve -2*p - 217273*u + 3 = -217276*u, 2*p + 4*u = 38 for p.
9
Solve c + 5*j - 176680 + 176691 = 0, 44 = -4*c + 5*j for c.
-11
Solve p + a - 3 = 0, -2259*p + 3*a = -1130*p - 1130*p + 11 for p.
-1
Solve 12*y - 8*y - 5*b = 98 - 10, -5*b = -19*y + 118 for y.
2
Solve 2*h + 17*u + 16 = 0, 3*h - 75352*u + 75351*u - 29 = 0 for h.
9
Solve -4*j + 6 - 9 = 9, -j + 2*j - 557 = -112*m for m.
5
Solve 12 = 6*o + 3*v, -3*o - 6*v + 5*v + 16 - 7 = 0 for o.
5
Solve 660257*z - 7 = j + 660264*z, 4*j + 5*z = -5 for j.
0
Solve 1478160*u - 1478155*u = 2*c + 3, -c = 13*u - 8 + 25 for u.
-1
Solve 4*w - 1507*o + 1511*o = 28, -w + 1 = -18*o + 51 for w.
4
Solve -5*t = 4*s - 5917 + 5947, 3*s + 2*t = -19 for s.
-5
Solve -7*t + 384*o = 383*o + 28, 6*o = 5*t + 20 for t.
-4
Solve 8051*x - 8067*x + 4*s + 64 = 0, -5*x = 3*s - 3 for x.
3
Solve -11 = b, -841033*b - 23 = 3*f - 841032*b for f.
-4
Solve 4*t = j + 14, 0 = -4*j + 377 - 353 for t.
5
Solve 58591016*j = -3*n + 58591020*j + 41, -36*j = -4*n + 392 for n.
-1
Solve 3*j - 3*c + 26 = 47, j = 3*c + 11 for j.
5
Solve k - 13*k + 24 - 27 = -9*k, -7*c - 26 = 2*c - k for c.
-3
Solve -f + 3*a - 32210 = 4*a - 32201, 3*a + 25 = -4*f for f.
2
Solve -3*p + 29*c - 227 = 2*p + 32*c, -16*c = -5*p - 3*c + 1117 for p.
5
Solve 404070 - 404062 = -5*h + 2*o, 4*o = -4 for h.
-2
Solve 2*l - 5*b + 68 = -2*l - 7, -243*b + 242*b = 6*l + 19 for l.
-5
Solve -3*w - 22136*f - 110 = -22134*f, w + 63*f + 99 = 0 for w.
-36
Solve -2*v + 40 = -4*j, -50*v - 5*j - 7*j - 78 = 51*v - 98*v + 96 for v.
-6
Solve 34543*n + 74 = 34510*n - q, 46 = -3*n - 5*q for n.
-2
Solve -26*c + 30*c = 7*o + 101 + 46, 31*o - 14*c + 171 = -10*c for o.
-1
Solve 8*v + 8*t - 4*t = 5*v + 22, -5*v = t - 65 for v.
14
Solve -13*l + 35 = -1118*s + 1113*s, l + 25 = -4*s + 9*s for s.
6
Solve -j + 32*w + 31 = 31*w, -13*w + 87 = j for j.
35
Solve -3*d - 11*h + 2 = -7*d - 1 + 5, 4*h = 8 for d.
6
Solve -22*r - 25 - 37 = 4*o, 124602 = 4*o - 2*r + 124544 for o.
12
Solve -5*t - 4*j = 1, -10755*j + 10778*j - 23 = 0 for t.
-1
Solve -10*m + 515 - 497 = 4*x - 12*m, -18 = -5*x - 2*m for x.
4
Solve z + 5*v + 7404 = 7449, 0 = -3*v + 30 for z.
-5
Solve -3*u = 3*j - 57, -3*j + 71*u + 31 = 3*j + 73*u - 27 for j.
5
Solve -74*q = -73*q - 1, 23 = 4*z + 2*q - 35 for z.
14
Solve 21*y = 5*s - 125, y - 29640*s + 29645*s - 15 = 0 for y.
-5
Solve -2536*b = -13*l - 2531*b + 39, 2*b = -0*b for l.
3
Solve -21201*m - x + 4*x - 12 = -21206*m, -2*m + 11 = -5*x for m.
3
Solve z + 554*v - 17 = 559*v, 3*z + 6*v = 51 for z.
17
Solve -5*q + 5*r + 63 + 76 = -6, 3*q - 2*r + 0*r - 56 = 0 for q.
-2
Solve 49*n + 3 = 3*o + 50*n + 4, -65*o = 5*n - 95 for o.
2
Solve -11499*o - 17 = 2*y - 11490*o, -3*o = 4*y + 19 for y.
-4
Solve -48 = -h, 287112 = y + h + 287067 for y.
-3
Solve 2606*k - 17*l = 2604*k - 74, -5*k = 2*l + 7 for k.
-3
Solve -63*j + 3912 = 2*b, 0*b + 150*j - 68 = -2*b + 149*j for b.
3
Solve t = -1015378*v + 1015383*v - 79, -t = -2*v + 34 for t.
-4
Solve 2*h - 81 = 13*j - 1628, -51*h - 2*j + 226 - 7 = -19 for h.
0
Solve -j - 7 + 9 = 633*c - 632*c, c = 2*j - 13 for j.
5
Solve 6*j = -11*y + 10*j - 60 - 29, 3*y = 2*j - 27 for y.
-7
Solve 4*o - 24 = -2*l, -9*o + 10*o = -12*l + 280 - 67 for o.
-3
Solve -7*s - 59 = -1101*t + 1096*t, 0 = -2*s - 2*t + 38 for s.
3
Solve q = 3*t + 1, -5114*q = -5119*q - 9*t + 53 for q.
7
Solve 2 = g - 2*c, -g + 32*c + 1 = 37*c - 6*c for g.
0
Solve -32252 = -u - 3*y - 32147, 19 = -5*u + y for u.
3
Solve 2*c = -0*c - 3*h + 160, -544313*c + 2*h = -544318*c + 30 + 95 for c.
5
Solve -2*r - 4*l + 7 = -r, 14 = -105*r + 109*r + 9*l for r.
-1
Solve 8 = -4*x + 2*x + 3*a + 23, 78 = 2*x - 24*a for x.
3
Solve 0 = 3*n + 4*c - 96, -5*c + 123 = -130*n - 136*n + 269*n for n.
-4
Solve -177*w - 23 = 3*d + 177*w - 356*w, 13 = -d + 2*w for d.
-5
Solve 191489*n - 382979*n + 191491*n - 71 = 5*y, -4*y = -3*n + 169 for n.
51
Solve 3*b - 380*a = -192*a - 182*a - 21, -b - 3*a = -23 for b.
5
Solve 4*j - 4 = 3*m, -14*j - 9*j = -12*j - 11*j - 5*m - 20 for j.
-2
Solve 3*i = 3*l + 36, 185094*l = 185097*l + 5*i + 20 for l.
-10
Solve 60 = -6*k - 2*i, -3*k - 43 = -2*i - 67 for k.
-4
Solve 0 = 3*a - 5*g - 60, -2*g + 19 + 9 = 5*a + 21 for a.
5
Solve f + 19 = -f + 5*g, 10705 = 4*f + g + 10710 for f.
-2
Solve -5*v + 224 - 119 = 5*c, v - 22 = -2*c for c.
1
Solve -3*c + n = 4, -63*c + 192*c + 36 = 65*c + 65*c + 5*n for c.
1
Solve 13*k - 17*k = -2*x - 40, 0 = -18*k + 14*k + 4 fo | {
"pile_set_name": "DM Mathematics"
} |
common multiple of 10830 and 1880.
2036040
Calculate the common denominator of 111/16562 and -42/10985.
1076530
What is the smallest common multiple of 389556 and 32?
3116448
What is the common denominator of 65/31234 and -19/1358?
31234
What is the common denominator of -47/420840 and -5/21042?
420840
Calculate the common denominator of 73/1713 and -53/75.
42825
Calculate the least common multiple of 2301630 and 81234.
6904890
What is the smallest common multiple of 246638 and 3318?
739914
What is the lowest common multiple of 137445 and 357?
137445
Calculate the common denominator of -13/625224 and 77/5736.
625224
Find the common denominator of 32/5325 and -41/120.
42600
Calculate the common denominator of -109/18 and -93/221510.
1993590
What is the common denominator of 47/9879 and -33/4625?
1234875
Calculate the least common multiple of 2465 and 109.
268685
What is the common denominator of -83/1000 and 161/98250?
393000
What is the common denominator of -11/529248 and 29/132312?
529248
What is the least common multiple of 1088 and 1492?
405824
Find the common denominator of -3/4 and 21/11041.
44164
Calculate the lowest common multiple of 23240 and 92960.
92960
What is the lowest common multiple of 3280 and 7380?
29520
Find the common denominator of -143/1836 and -4/4401.
299268
What is the smallest common multiple of 24 and 94?
1128
Calculate the smallest common multiple of 752630 and 4515780.
4515780
Find the common denominator of 107/312 and 149/132.
3432
What is the common denominator of 53/479292 and 19/44?
479292
What is the least common multiple of 1368 and 204060?
1224360
Calculate the common denominator of -77/433600 and -43/50.
433600
What is the common denominator of 31/25732 and -31/841804?
5892628
What is the smallest common multiple of 567 and 5670?
5670
What is the lowest common multiple of 329 and 14574?
684978
What is the smallest common multiple of 74752 and 146?
74752
Find the common denominator of -97/528 and -139/77220.
308880
Calculate the least common multiple of 99 and 3960.
3960
What is the smallest common multiple of 9656 and 91732?
183464
Find the common denominator of 103/1040 and 87/976.
63440
What is the smallest common multiple of 110 and 83688?
418440
Calculate the common denominator of 127/156 and 155/9048.
9048
Calculate the smallest common multiple of 11838 and 69055.
414330
Calculate the least common multiple of 68 and 11396.
193732
What is the smallest common multiple of 3937 and 2?
7874
What is the least common multiple of 78995 and 1525?
394975
Calculate the common denominator of -21/36100 and -5/266.
252700
Calculate the lowest common multiple of 115743 and 15.
578715
What is the common denominator of -35/24 and 107/337920?
337920
What is the common denominator of 22/29313 and 37/12?
117252
Calculate the common denominator of 31/54950 and -101/163280.
5714800
Calculate the common denominator of -15/18428 and -27/238.
128996
Calculate the lowest common multiple of 249 and 913.
2739
What is the least common multiple of 3036 and 396?
9108
What is the lowest common multiple of 32 and 44512?
44512
Calculate the least common multiple of 60 and 5436.
27180
What is the common denominator of -89/9438 and -41/6171?
160446
What is the common denominator of -1/116 and 73/2034?
117972
Find the common denominator of -137/24 and 77/321.
2568
Calculate the least common multiple of 51 and 28356.
28356
Calculate the common denominator of -17/8928 and 71/150784.
1357056
What is the common denominator of -3/234016 and -58/213?
702048
Calculate the common denominator of 125/587478 and 77/10.
2937390
What is the common denominator of 20/628473 and 5/406659?
6913203
What is the least common multiple of 2867 and 122?
5734
What is the smallest common multiple of 453 and 1479?
223329
What is the common denominator of 19/14954 and -73/140?
1046780
Find the common denominator of -163/4602 and 1/1534.
4602
Calculate the common denominator of -62/45 and 133/4572.
22860
Calculate the lowest common multiple of 1768 and 3978.
15912
Find the common denominator of -123/11680 and -77/32800.
2394400
What is the lowest common multiple of 99 and 6054?
199782
Calculate the smallest common multiple of 3439 and 27331.
519289
Calculate the least common multiple of 26082 and 154.
286902
What is the common denominator of 73/856 and -89/2568?
2568
What is the least common multiple of 1440 and 2565?
82080
What is the common denominator of 103/156 and -4/13125?
682500
Calculate the common denominator of 22/3 and 81/17528.
52584
Find the common denominator of -101/12894 and -7/10131.
141834
Calculate the smallest common multiple of 4400 and 990.
39600
Calculate the lowest common multiple of 31878 and 28980.
318780
Calculate the common denominator of -29/163593 and -62/8217.
1799523
What is the smallest common multiple of 4106 and 4?
8212
What is the common denominator of 77/78240 and -167/480?
78240
Calculate the smallest common multiple of 828 and 690.
4140
Calculate the common denominator of 89/5504 and 93/64.
5504
What is the smallest common multiple of 2 and 7559?
15118
What is the least common multiple of 324 and 1745172?
5235516
What is the least common multiple of 21241 and 73?
1550593
What is the least common multiple of 57321 and 495?
286605
Find the common denominator of -149/324 and 47/4752.
14256
Find the common denominator of 91/9034 and -11/2.
9034
Calculate the lowest common multiple of 8 and 1728.
1728
Calculate the lowest common multiple of 1175860 and 57204.
10582740
Calculate the smallest common multiple of 17 and 1627.
27659
Calculate the common denominator of 29/5660 and 27/7924.
39620
What is the least common multiple of 25604 and 44?
281644
Calculate the common denominator of -143/24 and 53/1652392.
4957176
What is the common denominator of 21/160 and 97/656?
6560
Calculate the least common multiple of 9 and 12963.
38889
What is the common denominator of -79/8 and 25/13966?
55864
Find the common denominator of 92/8055 and -57/10.
16110
Find the common denominator of -47/135 and -121/3650.
98550
Find the common denominator of -45/1828 and -29/1104.
504528
What is the lowest common multiple of 43602 and 78?
43602
What is the common denominator of 17/370 and -34/35261?
352610
Calculate the common denominator of 45/280456 and 21/12748.
280456
Find the common denominator of -17/19110 and 229/106470.
745290
Find the common denominator of -1/244 and -169/330.
40260
What is the common denominator of -65/6622 and -93/176?
52976
What is the common denominator of -133/864 and 95/5886?
94176
Calculate the common denominator of -73/8876 and 113/374.
1659812
What is the lowest common multiple of 4999 and 49990?
49990
What is the common denominator of 47/89754 and 8/21?
89754
Calculate the lowest common multiple of 10952 and 15059.
120472
Calculate the least common multiple of 12958 and 90706.
90706
Calculate the smallest common multiple of 52 and 8.
104
What is the least common multiple of 12 and 352632?
352632
What is the common denominator of -99/13000 and -8/65?
13000
Calculate the common denominator of 17/697430 and -29/15.
2092290
Find the common denominator of -76/10827 and 71/223758.
671274
What is the lowest common multiple of 23 and 190946?
190946
Calculate the least common multiple of 13708 and 2384.
54832
What is the smallest common multiple of 4352360 and 22?
47875960
What is the least common multiple of 1568 and 24?
4704
Calculate the least common multiple of 2227 and 17.
2227
What is the smallest common multiple of 20846 and 382673?
5357422
What is the smallest common multiple of 344 and 608?
26144
What is the common denominator of 26/75 and -93/228680?
3430200
Calculate the lowest common multiple of 13380 and 52.
173940
Calculate the common denominator of 53/22 and -5/54538.
54538
Find the common denominator of 93/10 and -1/2120.
2120
Calculate the least common multiple of 1332 and 2516.
22644
What is the common denominator of -109/5684 and -149/588?
17052
Find the common denominator of -58/187 and -25/13497.
229449
What is the least common multiple of 3 and 166133?
498399
What is the least common multiple of 197600 and 148200?
592800
Calculate the common denominator of 83/902 and -29/13202.
145222
Calculate the smalle | {
"pile_set_name": "DM Mathematics"
} |
j is positive.
j**(-748/2175)
Simplify ((t*t**4)/(t/t**3))/((t/(t*(t*t**(-3)*t*t)/t*t))/t*t*t**1)*(t**(-1/9)/t)/t**(-8)*(t*(t*t/t**(-1))/t)**39 assuming t is positive.
t**(1169/9)
Simplify ((j**(3/5)/j*(j*j/(j*j*j**(-5)*j))/j)/((j*j**(-2))/(j*j**(-3))))/((j/j**1)/(j**(2/19)*j))**(-5/11) assuming j is positive.
j**(1147/1045)
Simplify (n**(5/7)/n*n*n/n**(-1))**(-1/10)*((n**(-2/5)/n)**13)**(1/8) assuming n is positive.
n**(-713/280)
Simplify (y**0)**31*y**(-6)*y*y*y**(-4)*y*(y/((y*y**(-1))/y))**(-46)*y*y**(1/4)/y*y*y**(-2/5) assuming y is positive.
y**(-1963/20)
Simplify (x/x**(-6/19)*x**(1/78))/(x*x**(-12))**11 assuming x is positive.
x**(181291/1482)
Simplify (((y/y**(2/7))/((y/y**4)/y*y))/(y**2/(y**(-2/9)*y)))/(y*y**(2/5)*((y*y**(-1))/y)/y*y**3*y/y**(3/7)*y) assuming y is positive.
y**(-466/315)
Simplify ((k/k**(2/7))/k)**(1/27)*k**2*k*k/(k/k**(-2))*(k**(-2/3))**(-1/22)/(k*k**(-1/2)*(k*k**(-4)/k*k)/k) assuming k is positive.
k**(18793/4158)
Simplify (((t*t**(-2/7))/t*t)/t)/(t*t*t/(t**(-9)*t)*t)*t**7/t*t**3*(t**(-7)*t**(-1))/(t/(t/t**(2/7)*t*t))**(-29) assuming t is positive.
t**(-61)
Simplify ((x*x/(x/(x**(-7)/x)*x))/(x*x*x**7))**(-30)/(((x*x**(-4/9)/x*x)/(x*x**2/x*x*x))/(x*((x**7/x)/x)/x*x*x*x**(3/8)/x)) assuming x is positive.
x**(37427/72)
Simplify ((o/(o/(o*o/(o/o**(-7))*o*o*o))*o)**11/(o**(-1)*o*o*o/o**(-1/15)))**(2/79) assuming o is positive.
o**(-722/1185)
Simplify ((d**(4/9)/d*((d/(d*d**(1/26)/d))/d)/d*d)/(d**11)**18)**(-22) assuming d is positive.
d**(511181/117)
Simplify ((((g*g*g**(2/23))/g)/(g*g*g**11)*(g*g/g**2*g)**(-35))**(-3/14))**(-3/11) assuming g is positive.
g**(-9711/3542)
Simplify (t/(t*t**(1/4)))**4/(t*t*t**(-1/3)/t*t)**(-12/7)*(t/(t/t**2))/(t*t**(-4))*(t**(1/3))**34 assuming t is positive.
t**(382/21)
Simplify (p**(6/7)/(p*p*p*p/(p/p**(-3)*p*p)*p))**(1/28)*((p**0)**(-11/2))**40 assuming p is positive.
p**(13/196)
Simplify (r**(-1))**49/(((r*r**(1/3)*r*r)/r)/r)**(-9)*(r**(-1))**(-1/9)*r**(-4/7)*r/r**0 assuming r is positive.
r**(-2297/63)
Simplify ((d**3*d**(-12))/(d**(6/7)*d/(d*d*d**7*d)))**(20/11) assuming d is positive.
d**(-120/77)
Simplify (i/i**19)/((i*i**34)/i)*i*i*(i*i*i**(-4)*i)/i*i*i*i**(3/4) assuming i is positive.
i**(-197/4)
Simplify ((b/b**0)**16*b**4/(b/b**(2/9)))/((b*b/(b/(b**(-2)*b*b))*b**(-2))/(b**(1/3))**16) assuming b is positive.
b**(230/9)
Simplify ((f*f*f**8*f)/f)/(f*f**(2/5))*(f/f**(-1/3))**50*f*f*f**(1/7)*f/(f/(f/((f*f/((((f/(f/f**(-8)))/f)/f)/f))/f))*f*f)*f*f**0/f**(-6) assuming f is positive.
f**(7498/105)
Simplify ((z**0/z)/z**(-4))**(1/4)/((z**(-6)*z*z/(z**6*z)*z)/(z**(-3)*z/(z*z*z**3*z))) assuming z is positive.
z**(11/4)
Simplify ((y**(-8)/y**(1/8))/((y/(y**(2/3)/y)*y)/y**(-6)))/(((y**7*y)/y**(2/7))/((y*y**(-6))/y**(1/2))) assuming y is positive.
y**(-4985/168)
Simplify (m**(-1/2)/(m*m/m**(-3/2))*(m*m*m**(-2/13))/(m/m**(-2/19)))/(m**(-1/2)/(m*m**(4/3))*(m/(((m*m*m**0)/m)/m))**42) assuming m is positive.
m**(-62875/1482)
Simplify c**(-42)/(c*c**(-3/19))*(c**(5/3))**(13/8) assuming c is positive.
c**(-18301/456)
Simplify ((r/(r/r**(1/11)))/(r/r**(-4)*r)*(r**0)**12)/((r/((r**(1/5)*r)/r))/r**(1/2)*((r/(r**(-1)/r))/r)/((r**(-6)/r)/r)) assuming r is positive.
r**(-1783/110)
Simplify (h**(-15)/(h/h**(-11)*h)*(h**(4/5))**(-2/35))**(-4/45) assuming h is positive.
h**(6544/2625)
Simplify (k**(-26))**(-5/8)*(k**31*k)**18 assuming k is positive.
k**(2369/4)
Simplify ((a*a**(-6)/a)/a*a/a**6*(a**0)**(-2/37))/(a**6*a**(-1))**36 assuming a is positive.
a**(-192)
Simplify ((s/(s/s**(-1/5)))/(s/(s*s/(s*s**11*s)))*(s*s/(s**(-2)*s))**(7/3))**(-4) assuming s is positive.
s**(104/5)
Simplify d**(-2)/d**(-2)*(d**1*d)**24*(d**1)**(-40)*d**(-1/5)*d*d*d*d*d/(d/d**(1/4))*d assuming d is positive.
d**(261/20)
Simplify (a**(2/5)*a*a)/a*a*a*a**(-4/3)*(a**(-2))**(-9)*(a**(-2))**(-8)*(a/(a/a**(-2/29)))/(a*a*(a**5*a)/a) assuming a is positive.
a**(12614/435)
Simplify (c*c*c**(1/36)/c*c*c**34/c*c/(c/(c/(c*c**(-1/18)*c*c*c)))*c**(1/9)*c)**(-2) assuming c is positive.
c**(-1195/18)
Simplify (j**(-1/3)*j**(2/3))**48*((j*j**1)**(1/58))**(-18) assuming j is positive.
j**(446/29)
Simplify (d**0)**(1/63)*d/(d**(2/3)*d)*d/(d/(d*d**(3/4)))*d/d**(1/8)*d**(-1/4)*((d/((d/(d**(1/4)/d))/d))/d)**3 assuming d is positive.
d**(-13/24)
Simplify (a**(-2/7)*((a*(a/(a/a**(-2/27)))/a*a)/a)/a*a)**(31/5)/((a**(2/9))**45)**(-1/17) assuming a is positive.
a**(-26386/16065)
Simplify (h*h/h**(-2)*h)/(h/(h*h**(-2/5)))*h**(-2/7)/(h**(4/9)*h)*((h**0*h)**(-46))**26 assuming h is positive.
h**(-375836/315)
Simplify ((x**(1/4))**(-20)*(x/((x**(-6)*x*x)/x))/((x/x**(-1))/x))/(x/x**4*x**(-6))**(2/97) assuming x is positive.
x**(18/97)
Simplify (x**0)**(2/93)*(x*x**(-1))**(4/25)*(x/x**(-6)*x**(-1/4))/((x**(-1/5)/x)/(((x**(-1/7)/x)/x*x)/x)) assuming x is positive.
x**(813/140)
Simplify ((y**10/y*(y**(-1)*y)/y)/((y*y**14)/(y**(-18)*y)))**(9/4) assuming y is positive.
y**(-54)
Simplify ((s*s**(-2/3)*s*s*(s/s**(-2/73))/s*s)/(s/s**(-19)*s**(-2/15)))**(1/14) assuming s is positive.
s**(-1291/1095)
Simplify (((y/(y/(y*y**(-7)*y)))/(y/(y/(y/(y/y**(-4/7)))*y*y)))/(y**(-7)*y**(-1)))/(((y**(1/5)/y)/y)**(-12)/(y**(1/5))**15) assuming y is positive.
y**(-456/35)
Simplify (((o*(o*o**(5/8))/o*o*o*o**11)**(4/15))**(1/40))**(2/23) assuming o is positive.
o**(39/4600)
Simplify (x**(-2/7)/x**(1/5))/((x/x**(-1/3))/(x*x**(-4/5)))*((x/x**0*x)**7)**(-3/10) assuming x is positive.
x**(-611/105)
Simplify (z**(2/79)*z**(-5/3))/((z/(z*z/(z*z**(-11/2)/z*z))*z*z)/(z/((z**28*z*z)/z))) assuming z is positive.
z**(-12391/474)
Simplify ((l*l**(4/9)*l)/l**(-9))**30*((l/(l/((l*l*(l*l*l/(((l*l*l*(l/l**0)/l*l*l)/l)/l)*l)/l*l*l)/l)))**(6/7))**41 assuming l is positive.
l**(9424/21)
Simplify (((i/(i**(-2/31)*i))/i)/i*i**(-2/15)/i)**(-3)*i**(-2/17)*i**2*(((i*i*i*i**5)/i)/i)/(i*i**(1/3)/i) assuming i is positive.
i**(132452/7905)
Simplify ((m/(m**(3/2)*m))/(m*m*m**(1/3)))/(m**(-4)*m*m*m**(3/5)*m)*(m*m/(m*m**0)*m)**(2/77)/(m/(m*m**0*m))**1 assuming m is positive.
m**(-5501/2310)
Simplify (b**(-2/5))**(-15)/((b/(b/b**(-8)*b)*b)/(b*b/b**(-2/13)*b))*((b/(b/(((b*b**(-1)*b)/b*b)/b))*b)/b)**(1/31)/(b**(1/6))**(-46) assuming b is positive.
b**(968/39)
Simplify ((c*c**(3/5))**(-14/11)/(c*c/(c**(-2/33)/c)*c*c/(c*c**(-2/35))))**(8/13) assuming c is positive.
c**(-56864/15015)
Simplify ((g**(2/3))**(-32)*(g*g**(-1)*g)**(-6))/((g*g/g**3)/g**(-7))**(2/5) assuming g is positive.
g**(-446/15)
Simplify ((((a/(a*a**3/a))/a*a*a/a**(-4/9)*a*a)**(-46))**(-1/26))**31 assuming a is positive.
a**(713/9)
Simplify (c**(-1)/c**2)**(-20)*(c**(1/4)/(c/c**(1/3)))**(-6/5) assuming c is positive.
c**(121/2)
Simplify (((b**(7/3)*b)/(b*b**(2/3)))/((b/b**(-7))/b**5))/((b/(b**(2/3)*b))**(-2/65)/((b/b**(-1/2))/(b**(-1/4)*b))) assuming b is positive.
b**(-157/260)
Simplify (d*d/(d**1/d))**(-2/47)/(d*d**(-2/5)/d*d*d**5)*(d**(1/2))**(-22/7)/((d*d**(-5))/d*d**(-6)) assuming d is positive.
d**(6158/1645)
Simplify (((q/q**(-1))/q**(-1/3))/(q/q**(1/2))**(-23))/((q**1)**(1/4))**(1/11) assuming q is positive.
q**(1823/132)
Simplify ((q**19/(q/(q/((q**(-2/7)/q)/q)*q)))/(q/q**(-1/13))**7)**(-38) assuming q is positive.
q**(-50996/91)
Simplify (k*k**(1/7)*k*k**(1/2)*k*k*(k/(k*(k**(-2/3)*k)/k))/k**4)/(k**8/k**(-4))**(-19) assuming k is positive.
k**(9631/42)
Simplify ((y*y**(-4/9))/(y/(y**16*y*y))*(y**(-2))**(-2/29))**(3/16) assuming y is positive.
y**(2309/696)
Simplify (((t*t*t*t**(3/4))/t)/((t/((t**6/t)/t)*t*t)/t*t))**15/(t**(-2)*t*t**(-1/3)*t**1/(t/t**(-3))) assuming t is positive.
t**(727/12)
Simplify ((((v**(-1)/v*v*v)/v**9)/(v/(v*v**2)*v)**(2/3))**(2/15))**(2/9) assuming v is positive.
v**(-20/81)
Simplify ((u**(-1)*u*u)**33)**(-32)/((u**(-1/4)/u*u)**(2/9))**(-1/52) assuming u is positive.
u**(-988417/936)
Simplify (((i/(i/((i/i**(-4))/i*i))*i**(-2/13))/((i/i**(2/3))/(i/(i*i**6*i))))**(5/2))**(3/10) assuming i is positive.
i**(-97/52)
Simplify (((u**(-2/7))**48*u*u/((u**1/u)/u)*u**0)**(1/4))**(2/153) assuming u is positive.
u**(-25/714)
Simplify (((i/i**2*i)/(i*i**(-2/15))*i**(1/3)/i*i**(3/7)/i)**(2/15))**(-9/4) assuming i is positive.
i**(221/350)
Simplify (g**(-2/9)*g*g/(g**(-2/9)*g))/((g/g**(-2/9))/(g**(-1/3)*g))*((g/(g*g**2))/g*g/(g*g**4))/(g**(-2/5))**(-4/7) assuming g is positive.
g**(-2137/315)
Simplify (((b/((b**(1/4)/b)/b))/b**(- | {
"pile_set_name": "DM Mathematics"
} |
j**4. What are the prime factors of o(-3)?
23
Let m = 57 - 48. Suppose -4*j - 4*d + 220 = 0, -5*d + m = -11. List the prime factors of j.
3, 17
Let k be 217 - 8/(-1 - -3). Suppose 0 = 5*y - 2*y + k. Let j = 102 + y. List the prime factors of j.
31
Let r = 335 - 204. What are the prime factors of r?
131
Let m(v) = v**2 - 4*v - 17. Let b be m(7). List the prime factors of (-27)/((12/b)/(-9)).
3
Let p(y) = -y + 79. Let g be p(0). Suppose g - 3 = 2*f. List the prime factors of f.
2, 19
Let n = -1 + -20. Let w = 26 + n. Suppose 2*t = -3*f + 111, -w*f = 14 + 11. What are the prime factors of t?
3, 7
Suppose -4*t - 3*z + 30 = -143, -3*t = 4*z - 128. Let i = t - -35. What are the prime factors of i?
79
Let x = -13 - -18. Let f = -1 + x. List the prime factors of (-198)/f*10/(-15).
3, 11
Let g(h) = 4*h**3 + h**2 + 3*h - 5. Suppose -4*l = -3*o + 14, -o + 8 = -2*l - l. Let p be g(o). Suppose 0 = -2*k + p - 1. List the prime factors of k.
2, 3
Let w(a) = a**2 - 5*a - 9. Let f be w(8). Suppose 0 = f*b - 2349 - 1836. List the prime factors of b.
3, 31
Let z(s) = -382*s - 386. What are the prime factors of z(-6)?
2, 953
Let s = 53 + -25. Suppose -48 + s = -p. Suppose -22*m = -p*m - 58. What are the prime factors of m?
29
Suppose 5*g + 8003 = 2*f, -4*f - 473*g + 16036 = -477*g. List the prime factors of f.
2, 3, 223
Let f = -10 + 22. Suppose d - 210 + f = 0. What are the prime factors of d?
2, 3, 11
Let h be (30/(-35))/(6/(-28)). List the prime factors of 2961/12 - (-1)/h.
13, 19
Let k(z) = -z**2 - 4*z - 2. Let m be k(-2). Suppose 18 = 3*w - m*w + a, -w + 26 = -3*a. List the prime factors of w.
2, 5
What are the prime factors of (-1)/(-3) - 1124/(-12)?
2, 47
Let m(z) = -1384*z - 76. What are the prime factors of m(-3)?
2, 1019
List the prime factors of 9735/27 + 32/72.
19
Let w(v) = -3*v - 10. Let h be 1*(3 + -4) + 2. Let r be 2 + (-1)/(h/10). What are the prime factors of w(r)?
2, 7
Suppose -2*q + 276 + 744 = 0. List the prime factors of q.
2, 3, 5, 17
Let x = 1067 - 668. List the prime factors of x.
3, 7, 19
Suppose 6*v = 12*v - 786. Suppose 3*o + 2*t - 119 = v, 0 = 3*t - 15. List the prime factors of o.
2, 5
Let d = 36 - 34. Suppose -12*v + 7*v + 277 = -d*m, 0 = -3*v + 2*m + 167. What are the prime factors of v?
5, 11
Let j(o) = -196*o - 166. What are the prime factors of j(-8)?
2, 701
Let d(n) = 20*n + 121. List the prime factors of d(22).
3, 11, 17
Let l(n) = -2*n**3 - 4*n**2 - n + 4. Let u be l(-3). Suppose 471 = 2*q + u. What are the prime factors of q?
223
Let q be (-1)/((15/12)/(-5)). Suppose 8 + 16 = q*u. Suppose 0 = u*k - 2*k - 268. What are the prime factors of k?
67
Let h be (300/8)/(-5)*8*-1. Let k = 117 - h. What are the prime factors of k?
3, 19
Suppose -j - u = 0, j + 15 = -2*j + 2*u. Let g be -3 + -2 + 5 - j. List the prime factors of (-154)/(-11) + g*1.
17
Let p(s) = -s**3 + 50*s**2 + 126*s + 64. What are the prime factors of p(52)?
2, 151
Let j be 1*(-18)/(-4) - (-15)/10. Suppose j*y - 793 = 623. What are the prime factors of y?
2, 59
Suppose j + 3*i - 214 - 36 = 0, -5*j - 4*i = -1272. Let k = -132 + j. List the prime factors of k.
2, 31
Let q = -318 + 516. Let r = q + -74. What are the prime factors of r?
2, 31
Let v(i) = -i + 20. Suppose s - 8 = -6. Suppose 4*q - 2*p + p = -25, 11 = -s*q - p. List the prime factors of v(q).
2, 13
Suppose 15*u = -14*u + 26506. What are the prime factors of u?
2, 457
Suppose 21146 = 27*j - 3478. What are the prime factors of j?
2, 3, 19
Suppose -4*a = -5*j - 23, -5*j + 11 = 2*a - 8. Suppose -4*v = a*v - 1023. List the prime factors of v.
3, 31
Suppose 0 = x - 5*s - 83 + 8, 456 = 5*x + 2*s. Let w be x/(-8)*(-12)/3. Suppose -90 = -5*m + w. What are the prime factors of m?
3
Suppose 5*p = -4*i - 17, 2 = -i + 5*p - 4*p. What are the prime factors of ((-83)/i)/((-7)/(-42))?
2, 83
Let s(a) = -12*a**2 + 5*a + 6*a**2 + 3*a**3 - 10*a + 2. List the prime factors of s(3).
2, 7
Suppose -2*p = -2*d - d - 353, 2*d - 2*p + 236 = 0. Let f = d + 147. What are the prime factors of f?
2, 3, 5
Suppose 112 = -5*u + u. Let h be (-8)/u + (-1359)/(-21). Suppose h = 3*o + 11. List the prime factors of o.
2, 3
Let d = -36 - -39. Suppose -m + 0*m - 113 = -2*l, d*l = 5*m + 152. List the prime factors of l.
59
Let y(s) = s**2 + 45*s - 12. List the prime factors of y(15).
2, 3, 37
Let l = 0 - 1. Let v be -1 + l - 78/(-3). Suppose 5*w = -2*x + v + 61, -3*w - 4*x = -37. List the prime factors of w.
19
Let p = 28 - 27. Suppose 0 = -5*x - 10, 6 = j + 5*x - p. List the prime factors of j.
17
Suppose -4*v - u + 11 = -0*u, -3*v + 8 = u. Suppose q + 5*y - 215 = 0, -4 = y - v*y. Suppose q = -0*s + 5*s. What are the prime factors of s?
41
Suppose 0 = 4*q - 4*s - 2384, -7*s + 9*s + 1783 = 3*q. What are the prime factors of q?
3, 197
Let s be (1 - 1)/(2 + -3). Let l be (-1 - 15)*(-7)/28. Suppose l*w + 31 - 135 = s. List the prime factors of w.
2, 13
Let b(a) = -30*a - 26. Let m(p) = 31*p + 26. Let k(z) = 4*b(z) + 3*m(z). List the prime factors of k(-8).
2, 5, 19
Let y be (16/(-4) - -9)/1. Suppose -y*d + 4*d + 120 = 0. What are the prime factors of d?
2, 3, 5
Let b(s) = 23*s - 29. What are the prime factors of b(3)?
2, 5
Suppose -y - 3*n + 57 = -2*y, 4*y + 3*n + 213 = 0. What are the prime factors of y*(-15)/(-10)*(-14)/6?
3, 7
Let g(l) = 23*l - 8 + 0*l**3 - 50*l + l**3 - 7*l**2 + 37*l. What are the prime factors of g(7)?
2, 31
Let x = 93 - 45. Let f = x + -24. What are the prime factors of f?
2, 3
List the prime factors of 231707/119 - (-18)/(-153).
3, 11, 59
Suppose -p = w + 14, 4*w - 4*p - 17 = 5*w. Let t = w - -44. Suppose -11*v - t = -12*v. List the prime factors of v.
31
Let j(m) = m. Suppose -5*q + 45 = -0*q - h, 0 = 5*q + 4*h - 45. Let s = 11 - q. List the prime factors of j(s).
2
Let i(x) be the third derivative of -x**4/24 + x**3/3 + 6*x**2. What are the prime factors of i(-6)?
2
Let w be (-1)/(-5) - 174/(-5). Suppose -2*x = 5*x - w. What are the prime factors of x?
5
Let q = -2715 + 4594. What are the prime factors of q?
1879
Let a(t) = -t**3 + 8*t**2 + 9*t + 4. Let h be a(9). Suppose 0 = 3*c - 3*v - 69, v - 94 = -h*c + 3*v. List the prime factors of c.
2, 3
Let t(d) = d**3 - 31*d**2 - 17*d + 31. List the prime factors of t(32).
7, 73
Let w(i) = 8*i**2 + 28*i - 157. What are the prime factors of w(10)?
13, 71
Suppose -b + 1 = -7. Suppose 6*s - 4*s = p - 15, -5*s + 73 = 4*p. Let x = p - b. List the prime factors of x.
3
Let h(t) = 4*t - 4. Let f be h(-2). Let u be (-126)/f*(-20)/(-3). Suppose -3*a + a = -u. What are the prime factors of a?
5, 7
Suppose -2*q + 3*z = 96, -222 = 5*q + 6*z - 9*z. Let p = -40 - q. What are the prime factors of p?
2
Let x(o) = 37*o + 8. What are the prime factors of x(2)?
2, 41
Suppose 0 = -5*a + 3*k + 449, -k - k - 182 = -2*a. Suppose -3*t + 7 = -53. Suppose -a + t = -4*g. List the prime factors of g.
17
Let d = 139 - -204. What are the prime factors of d?
7
Let n(s) = s**2 - 4*s - 19. Let z be n(7). List the prime factors of (-1120)/(-24) - z/(-6).
47
Suppose 5*w + n = 2065, 0 = 5*w - 5*n + 841 - 2906. Let m = w - 278. List the prime factors of m.
3, 5
Let p(r) = r + 20. Let q be p(-18). Suppose -3*j + 48 = 3*w, -3*w - q*w - 46 = -2*j. List the prime factors of j.
2, 3
Suppose 33 = -15*x + 18*x. Suppose -x*t + 594 = -1419. List the prime factors of t.
3, 61
Let n(m) = -190*m + 4. List the prime factors of n(-1).
2, 97
Suppose -5*k + 15 = 0, -2*k = 5*s - k - 48. Let l(q) = q**2 - 8*q - 9. Let p be l(s). Suppose -5*b + 26 + 39 = p. List the prime factors of b.
13
Suppose 6*s = 2090 + 1444. List the prime factors of s.
19, 31
Let q(t) = -t**3 + 5*t**2 + t - 5. Let g be q(5). Let r be -58*(2 + -1 - g). What are the prime factors of r/(-6) - (-3)/9?
2, 5
Suppose -9*c + 4*c + 1315 = 0. Let k = c + -166. Let y = k - 40. List the prime factors of y.
3, 19
Let x = -7 - -9. Suppose 0*g + x*g = 0. Suppose 116 = -g*b + 4*b. What are the prime factors of b?
29
Let i(k) = k**2 + 6*k + 11. Let h(d) = -8*d + 19. Let q(r) = -r. Let a(y) = h(y) - 6*q(y). Let z be a(13). What are the prime factors of i(z)?
2, 3
Suppose 0*d + d = -4. Let n = d - -47. List the prime factors of n.
43
List the prime factors of (-10 - -7)/((36/2594)/(-6)).
1297
Let k = 3702 - -24. List the prime factors of k.
2, 3, 23
Let g(s) = 86*s - 26. Let | {
"pile_set_name": "DM Mathematics"
} |
t(11)/17
Simplify ((2*-1*sqrt(204))/(-2*sqrt(108) - sqrt(12)))**2.
68/49
Simplify sqrt(121)/(sqrt(396) + 1*sqrt(396)).
sqrt(11)/12
Simplify (-3 + sqrt(704)*-1)**2.
48*sqrt(11) + 713
Simplify (0 + sqrt(1539) + 2)**2.
36*sqrt(19) + 1543
Simplify (sqrt(21)/sqrt(7)*1*-3)**2.
27
Simplify (sqrt(1331) - (sqrt(1331) + -1)) + 3 + 0.
4
Simplify (sqrt(63) + (sqrt(1575) + 2*sqrt(1575) - sqrt(63)))/(-1*(sqrt(36)/sqrt(4) + sqrt(9))).
-15*sqrt(7)/2
Simplify (sqrt(2736) + (sqrt(2736)*-3)**2)*-2.
-49248 - 24*sqrt(19)
Simplify (sqrt(25)/sqrt(5) + -5 + (sqrt(125)/sqrt(5))/sqrt(5))**2.
-20*sqrt(5) + 45
Simplify 5 + sqrt(539) + (sqrt(539)*-1)**2 + -1.
7*sqrt(11) + 543
Simplify (sqrt(45)/(sqrt(6)/sqrt(2)) + sqrt(15))/(sqrt(243) - (sqrt(243) - sqrt(243)*2 - sqrt(243))).
2*sqrt(5)/27
Simplify ((sqrt(224) - -1*sqrt(224)) + sqrt(224))/(-2*sqrt(72) - sqrt(72)).
-2*sqrt(7)/3
Simplify sqrt(128)*2 + (sqrt(2) + 1)**2 + -1.
2 + 18*sqrt(2)
Simplify -1 + (sqrt(85)/sqrt(5))**2 + 1.
17
Simplify -6*(sqrt(22)/sqrt(2) + 5).
-30 - 6*sqrt(11)
Simplify 3*((sqrt(2448)*-2)**2 + 2).
29382
Simplify (sqrt(3200)*-1 + -5 - sqrt(3200))**2*2.
1600*sqrt(2) + 25650
Simplify ((sqrt(117)*2 - -1*sqrt(52)/sqrt(4))*-1 + 0)**2.
637
Simplify (sqrt(720) + (sqrt(720) - ((sqrt(720) - -1*sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(720))) + 5 - -6*(0 + sqrt(720)))**2.
840*sqrt(5) + 35305
Simplify sqrt(45)/sqrt(144) - (sqrt(405) + -1 + sqrt(405) - sqrt(405))**2 - -6*sqrt(80)*4.
-406 + 457*sqrt(5)/4
Simplify (3*(sqrt(72) + (sqrt(72)*1 - sqrt(72)) + sqrt(72)))/(sqrt(192)/sqrt(2) - sqrt(6)).
4*sqrt(3)
Simplify -5 + (sqrt(57)*2)/sqrt(3).
-5 + 2*sqrt(19)
Simplify (sqrt(72)/sqrt(4)*-4 - sqrt(18) - sqrt(18))**2.
648
Simplify ((sqrt(110)*3)/sqrt(10) + 0)*-2.
-6*sqrt(11)
Simplify -4*(sqrt(567) + -1 + sqrt(567)).
-72*sqrt(7) + 4
Simplify ((sqrt(132)*1 - sqrt(132) - sqrt(132))/sqrt(6))/(sqrt(11) - sqrt(176)*-1).
-sqrt(2)/5
Simplify (sqrt(77)/(sqrt(22)/sqrt(32)))**2 + -2.
110
Simplify (2 + sqrt(1053) + sqrt(1053)*5)**2.
216*sqrt(13) + 37912
Simplify ((sqrt(143) + (-2*sqrt(143) - sqrt(143)) + sqrt(143))/sqrt(11) + -4)**2.
8*sqrt(13) + 29
Simplify (sqrt(13) - (sqrt(13) - sqrt(208))*-3)*-1 + (-4*(2*sqrt(104) + sqrt(104)))/sqrt(8).
-4*sqrt(13)
Simplify -4*3*sqrt(684).
-72*sqrt(19)
Simplify 3 + (4 + sqrt(480)/sqrt(10))**2.
32*sqrt(3) + 67
Simplify 3*-3*(sqrt(13) + -4).
-9*sqrt(13) + 36
Simplify (6*(sqrt(84)*-1 - sqrt(84)) + sqrt(84))/(3*(sqrt(12) + sqrt(12)*2 - sqrt(12) - sqrt(12))).
-11*sqrt(7)/3
Simplify ((sqrt(112) + -1 + -3 - -1*-2*sqrt(112)) + -4)**2.
64*sqrt(7) + 176
Simplify (-4*-4*(sqrt(13) + -2 + sqrt(13)))**2.
-2048*sqrt(13) + 14336
Simplify (-2*sqrt(60))/sqrt(12) - (sqrt(15)/(1*sqrt(3)))**2.
-5 - 2*sqrt(5)
Simplify (5 + (sqrt(17) + sqrt(34)/sqrt(2) - sqrt(17)) - (sqrt(17) - (sqrt(17) + -1 + -2)))**2 + 5.
4*sqrt(17) + 26
Simplify sqrt(17) + 0 + -3 + 2.
-1 + sqrt(17)
Simplify 1*(sqrt(5) + sqrt(5)*2) + 4 - (1 + sqrt(320) + sqrt(80)*-6).
3 + 19*sqrt(5)
Simplify (sqrt(343)*4)**2 - (sqrt(63) + -3).
-3*sqrt(7) + 5491
Simplify (4 + sqrt(17) + -4 - ((sqrt(17) + -2 - sqrt(17))*2 - sqrt(17)))**2.
16*sqrt(17) + 84
Simplify ((sqrt(228) + (sqrt(228) - (-1*sqrt(228) + sqrt(228))))*4)/(sqrt(12) + sqrt(972)*1).
4*sqrt(19)/5
Simplify (3 + sqrt(3) + -2)*1.
1 + sqrt(3)
Simplify sqrt(28)/(sqrt(4) - (sqrt(4) - sqrt(144))) - ((sqrt(35)/sqrt(5))**2 + -2).
-5 + sqrt(7)/6
Simplify (sqrt(156) + -3*sqrt(156)*4 + sqrt(156))/(sqrt(1728) + sqrt(1728)*1).
-5*sqrt(13)/12
Simplify (1 + sqrt(14)/sqrt(7))**2 + -1*sqrt(98).
-5*sqrt(2) + 3
Simplify (sqrt(1088) - (sqrt(1088) + -4*sqrt(1088) + sqrt(1088)))**2 + (sqrt(833))**2*-4.
6460
Simplify sqrt(108)*-2 + (sqrt(108)/(sqrt(9)*1))**2.
-12*sqrt(3) + 12
Simplify (sqrt(65)/sqrt(180) + sqrt(1573) + -2)**2.
-134*sqrt(13)/3 + 58501/36
Simplify -4*(sqrt(175) + -1)**2 + 0 + sqrt(175) + 0.
-704 + 45*sqrt(7)
Simplify -2 + sqrt(20)/(sqrt(144) - sqrt(4)).
-2 + sqrt(5)/5
Simplify 2*(((sqrt(2057) + 0)*-1)**2 - sqrt(2057)).
-22*sqrt(17) + 4114
Simplify -5 + sqrt(50) + -1.
-6 + 5*sqrt(2)
Simplify (sqrt(52) + (-2*sqrt(208))/sqrt(4))/sqrt(4).
-sqrt(13)
Simplify (4*(0 + sqrt(11)) - sqrt(11))**2 + -2.
97
Simplify sqrt(7) + -2 + -5 + (-2*sqrt(1008))**2.
sqrt(7) + 4025
Simplify ((sqrt(98) + 5 + 1*sqrt(98))*-4)**2.
2240*sqrt(2) + 6672
Simplify ((sqrt(108) - (sqrt(108)*3*4 - sqrt(108))) + 1)**2.
-120*sqrt(3) + 10801
Simplify (5*sqrt(84)*1)/(sqrt(432)*-2 - sqrt(432)) + -2.
-2 - 5*sqrt(7)/18
Simplify ((-2*sqrt(700) - sqrt(700)) + -4)*4.
-120*sqrt(7) - 16
Simplify (sqrt(539)*-3)**2 - (1 + (sqrt(11) - sqrt(396))**2).
4575
Simplify (3*sqrt(567)*1 + 5)*-1.
-27*sqrt(7) - 5
Simplify (1 + sqrt(200) - (-5 + (sqrt(2) - (sqrt(2) + -2))))**2.
80*sqrt(2) + 216
Simplify ((sqrt(304) + sqrt(304) + -1)**2 - sqrt(304)) + (0 + sqrt(19) - sqrt(19))**2*-3 + sqrt(19) + 1.
-19*sqrt(19) + 1218
Simplify (sqrt(1331) + (sqrt(1331) - (-2*sqrt(1331) + 5)) + -5*(sqrt(11) + 0 + sqrt(11) + -1 + sqrt(11)))**2.
9251
Simplify sqrt(12)/(sqrt(4) + sqrt(16)*3 + sqrt(4) - sqrt(4)).
sqrt(3)/7
Simplify (-3*((sqrt(605) + 1 + sqrt(605) - sqrt(605)) + -4))**2.
-594*sqrt(5) + 5526
Simplify -2*sqrt(832)*5.
-80*sqrt(13)
Simplify ((sqrt(104) + (sqrt(104) - 3*(sqrt(104)*1 + sqrt(104))))/(sqrt(128)*2))**2.
13/4
Simplify (-3*1*sqrt(56) + sqrt(56))/(sqrt(8) + 2*sqrt(968)).
-2*sqrt(7)/23
Simplify (1*sqrt(152)*4)/(sqrt(80)/(sqrt(30)/sqrt(3)) + sqrt(8)).
2*sqrt(19)
Simplify 5*((sqrt(108) + 1)**2 + -4*(sqrt(9)/sqrt(3) - sqrt(3))).
60*sqrt(3) + 545
Simplify (((sqrt(36) - sqrt(216)/sqrt(6)) + sqrt(36))/sqrt(2))/(sqrt(6) + sqrt(18)/(sqrt(3)*2)).
2*sqrt(3)/3
Simplify 2*(sqrt(500) + sqrt(500) + -6*-2*sqrt(500)).
280*sqrt(5)
Simplify (sqrt(50) - (sqrt(50) + sqrt(150)/(-2*sqrt(3))))/(sqrt(90) - (sqrt(90) + sqrt(90) + -2*sqrt(90))).
sqrt(5)/6
Simplify -5*sqrt(57)/sqrt(3) + 4*(sqrt(19) + 1).
-sqrt(19) + 4
Simplify (-1*sqrt(539))**2 - (-5 + sqrt(1584))**2.
-1070 + 120*sqrt(11)
Simplify (5*sqrt(120)/sqrt(2))/((sqrt(12) + sqrt(12) + sqrt(12)*-2 - sqrt(12))*-5).
sqrt(5)
Simplify 1*sqrt(200)*3 - sqrt(200).
20*sqrt(2)
Simplify -3 + sqrt(114)/sqrt(6) + 5*(sqrt(19) + -2).
-13 + 6*sqrt(19)
Simplify (4*(sqrt(108)*-2 + (sqrt(48) + sqrt(3))*3))**2.
432
Simplify sqrt(13) + (sqrt(39)/sqrt(3) + -2)**2 - sqrt(4212)/sqrt(4).
-12*sqrt(13) + 17
Simplify (sqrt(63) + 0)**2*-5 - (1 + sqrt(1008)).
-316 - 12*sqrt(7)
Simplify sqrt(99)/(sqrt(36)*1).
sqrt(11)/2
Simplify (sqrt(6) - (sqrt(486) + sqrt(486)*-1))/((sqrt(8) - sqrt(2))*-4).
-sqrt(3)/4
Simplify 2*(sqrt(15)/sqrt(3)*4 + 0).
8*sqrt(5)
Simplify sqrt(60)/(4*sqrt(48)).
sqrt(5)/8
Simplify sqrt(49)/(sqrt(63) + sqrt(252) + sqrt(63)).
sqrt(7)/12
Simplify (sqrt(110) - sqrt(110)*1*3)/(-4*sqrt(50)/sqrt(5)).
sqrt(11)/2
Simplify sqrt(99)/(sqrt(81) + sqrt(9)) + 3.
sqrt(11)/4 + 3
Simplify (2*sqrt(70)*1)/(sqrt(50)/(sqrt(5) - sqrt(80))).
-6*sqrt(7)
Simplify sqrt(176)*3.
12*sqrt(11)
Simplify (-4*sqrt(1539)*-2)**2.
98496
Simplify 4 + sqrt(28)/sqrt(4)*6 + -3.
1 + 6*sqrt(7)
Simplify (sqrt(1300)*-1*4 - sqrt(1300))*3.
-150*sqrt(13)
Simplify (sqrt(5) + (-2 + sqrt(5))*-1)*6.
12
Simplify (sqrt(168)/(sqrt(8)*2))/sqrt(3).
sqrt(7)/2
Simplify (sqrt(90)/sqrt(2) + 0)**2 - (sqrt(40)/sqrt(32))**2*-3.
195/4
Simplify (3*(sqrt(33) + sqrt(33) + sqrt(1188)) + sqrt(33))/(sqrt(1100) + -3*sqrt(1100)).
-5*sqrt(3)/4
Simplify 4 + sqrt(119)/(3*sqrt(21)/sqrt(3)).
sqrt(17)/3 + 4
Simplify (sqrt(24) - 6*sqrt(384))/(sqrt(108)*-5).
23*sqrt(2)/15
Simplify 3*(0 + sqrt(13) + 2 + sqrt(13)).
6 + 6*sqrt(13)
Simplify -5 + (sqrt(4) + (sqrt(4) - ((sqrt(36)*5 - sqrt(4)) + sqrt(4) - sqrt(4))))/sqrt(2).
-12*sqrt(2) - 5
Simplify ((sqrt(5) - (sqrt(5) + sqrt(320)*2)) + sqrt(5) + (sqrt(120)/sqrt(2))/sqrt(12))**2.
980
Simplify 3 + (5*(sqrt(52)/sqrt(4) - sqrt(13) - sqrt(13)))**2.
328
Simplify ((sqrt(24)*-2)/sqrt(4))/(sqrt(2) - (sqrt(242) - sqrt(242)*2 - sqrt(242)) - sqrt(2)).
-sqrt(3)/11
Simplify ((sqrt(17) + sqrt(153))*-1 - sqrt(17)) + 1.
-5*sqrt(17) + 1
Simplify sqrt(11) + sqrt(33)/(sqrt(6)/sqrt(2)) - sqrt(22)/(sqrt(12)/sqrt(6)).
sqrt(11)
Simplify (sqrt(42)/sqrt(54))**2 + sqrt(7) + -4*sqrt(7)*4.
-15*sqrt(7) + 7/9
Simplify -4 + -2*(4 + sqrt(102)/sqrt(6)).
-12 - 2*sqrt(17)
Simplify -1*(((sqrt(57)/sqrt(3) + 3 - sqrt(19)) + sqrt(19))**2 + 4).
-32 - 6*sqrt(19)
Simplify 3*(4 + sqrt(13))*2.
6*sqrt(13) + 24
Simplify (sqrt(209) + -5 | {
"pile_set_name": "DM Mathematics"
} |
.1, 4, t?
t
Let r = 0.1 + -2.1. What is the closest to 1 in r, -0.5, 6/11?
6/11
Let q = 0.5 - 0.9. Let z = -12 - -6. Let t = 11 + z. What is the closest to 0 in 1/8, t, q?
1/8
Let u = 11.8 - -0.2. Let o = u + -11.5. What is the closest to 1 in 5, o, -1?
o
Suppose 5*y = 8*t - 4*t + 30, 0 = -2*t - y - 8. Let u be 9/(-12)*t/15. Let p = 161/8 - 20. Which is the nearest to -2/5? (a) -2 (b) u (c) p
c
Suppose 16*r = 11*r - 15. Which is the nearest to -1? (a) 4 (b) r (c) 5
b
Let p = 119 + -122. What is the closest to 1/4 in -2/11, p, 1/5?
1/5
Let c be (-2)/(-4)*0 + 2. Let l(i) = i - 9. Let y be l(4). What is the closest to -1/4 in c, 1, y?
1
Let r = -5/11 - -3/11. Which is the nearest to -2/5? (a) r (b) -0.2 (c) 2
b
Let a = -0.8 + 0.4. Let n be (13/2 + 0)*-2. Let s = n - -40/3. What is the closest to -0.1 in 1, a, s?
a
Let a be 6/5*(-10)/(-4). Suppose 3*s = -0 + a. What is the nearest to -2/3 in s, -3, -1/2?
-1/2
Let o(z) = -z**2 + 10*z + 2. Let f be o(11). Let d(m) = -m - 14. Let b be d(f). What is the nearest to -0.2 in 0, b, -0.3?
-0.3
Let n = -0.7 - -1. Let u = -0.7 + n. Which is the nearest to -0.1? (a) 2/5 (b) u (c) -1
b
Let i = 32.2 - 32. Which is the nearest to 1? (a) -0.5 (b) 0.21 (c) i
b
Let q = 0.14 + 0.06. Which is the nearest to 1? (a) -3 (b) q (c) 4
b
Let w = 335 - 332. Let a = -7 - -5. What is the nearest to 1 in -0.2, a, w?
-0.2
Let q be 1 - (-22)/14*-102. Let b = 159 + q. Let u be (0 + -2)/(4/10). What is the closest to 1 in u, b, 1?
1
Let p(i) = i**2 - 2*i - 15. Let d be p(5). Let t = 2 - 1.5. Which is the nearest to d? (a) 0 (b) t (c) -0.4
a
Suppose -4*x + 2*f - 5 = -5*x, x + 3*f - 6 = 0. Which is the nearest to -2? (a) -3/7 (b) 0.1 (c) x
a
Let l = -2.98 - 0.02. Let y = -2.94 + -1.06. What is the closest to 0 in l, y, -5?
l
Let c = -0.19 - -0.69. What is the closest to -2 in c, -0.07, -4/3?
-4/3
Let m = 0.035 + -3.035. Which is the nearest to 1? (a) 1 (b) 0.06 (c) m
a
Suppose k + 0*k + 4*j = -14, -2*k + 8 = -4*j. Let x be 1/k*(3 - 7). Let i be (-20)/6 - (-6)/x. What is the closest to 0 in -1, i, -4?
i
Let m be ((-30)/(-20))/(-2 - -8). Let o = -0.07 - -0.57. What is the closest to 1 in m, o, -3/8?
o
Let j = 16 + -97/6. Let z = 0.5 + -0.3. Let v = 0.8 + z. What is the nearest to v in j, -0.2, 4?
j
Let i = 0.6 - -0.4. Let q = i + -0.7. Suppose -4*w = -3*w - 5. Which is the closest to 0? (a) w (b) 1/4 (c) q
b
Let b = -1 + 1. Let u = -38.9 + 36. Let c = -3 - u. What is the nearest to b in -1, -4, c?
c
Let j be (-20)/(-30)*(-6)/(-4). Which is the nearest to -2? (a) -0.4 (b) j (c) 0.3
a
Let g be (-8)/18 + 4/6. Which is the nearest to 1/4? (a) g (b) 0.1 (c) 1/3
a
Suppose 4*r - 3*a + a = 22, 4*r - 10 = -2*a. Suppose r*k + 11 = -5*m - 44, -2*m = -10. Let z be (6/15)/((-2)/k). What is the closest to 1/3 in -4/9, z, 0.1?
0.1
Let l = 8 - 7. What is the nearest to -1/6 in -2, 0.5, l?
0.5
Let t(z) = z - 1. Let j be t(2). Suppose 64 = 5*r + 214. Let f = -34 - r. What is the closest to j in -0.06, -2/13, f?
-0.06
Let v = -10 + 6. Let n = 3 + v. What is the closest to 1/5 in n, 0.3, -2/11?
0.3
Let o = 0.77 - 0.87. Which is the closest to -3/5? (a) -0.5 (b) -13 (c) o
a
Let a = 0.2 - 0.5. Let q = a + 0. Let m = -288/5 + 58. What is the nearest to -1 in q, m, 1?
q
Let d = -7 - -6. What is the nearest to d in -0.5, 2, -5?
-0.5
Let j = -4.1 + 1.2. What is the nearest to 0.1 in 1, -5, j?
1
Let n(f) = -f - 5. Let x be n(0). Let i = 0.24 - -0.06. Which is the nearest to 0.1? (a) x (b) i (c) -2/7
b
Let c be ((-21)/12 - -2) + 22/(-24). What is the closest to 2 in 2, -1, c?
2
Let b = 18 - 15. Let k = -0.35 - 0.05. Let g = 4.4 - 1.4. What is the closest to g in b, k, -2/3?
b
Let p = -0.3 + 0.2. Let u = 69 - 209/3. What is the nearest to u in -0.5, p, 5?
-0.5
Let p = 9 - 12. Let r = 32.4 - 32. Which is the nearest to p? (a) -2/3 (b) r (c) -4/3
c
Let s be 6/(-45) - (-112)/390. Which is the closest to 2/3? (a) s (b) -0.5 (c) 1/7
a
Let j = 1/3 - 0. Let y = -3.02 + 3.32. What is the nearest to j in 0.4, -1, y?
y
Let r = -78.9 + 75. Let k = r + -0.1. What is the closest to -0.4 in -1, k, 1/4?
-1
Let u = 0.06 - -3.94. Let w = 13 - 13.4. Let x = 11 + -8. Which is the closest to 0.1? (a) w (b) x (c) u
a
Let z = 3.3 - 0.3. What is the closest to -1/2 in 1/3, -3, z?
1/3
Let u = -13.3 - -13.3. Let h = -0.2 + 0. What is the nearest to -1/4 in h, u, 6?
h
Let d = 3 + -3.8. Let v = d + -0.2. Which is the closest to -1/3? (a) v (b) -0.1 (c) -2/9
c
Let b = 3.8 + -1.8. What is the nearest to -0.2 in -0.4, b, -0.3?
-0.3
Let i = 556/935 - -1/187. What is the nearest to -0.2 in -0.1, 1/9, i?
-0.1
Let u = 36/95 - -2/95. Suppose -n + 6*w - 28 = 11*w, -2*w = -n + 7. Which is the nearest to n? (a) u (b) -1 (c) 5
b
Let m be (-38)/154 - (-14)/(-77). Suppose 5*u = u - 260. Let h = 581/9 + u. Which is the closest to -1? (a) m (b) -1/4 (c) h
c
Let q = -7/8 + 13/8. Let w = -0.39 + -0.01. Let n = -0.5 - w. Which is the closest to n? (a) -0.4 (b) 2 (c) q
a
Let a = -1 + 1.2. Let o be 3/(-9) + (-34)/6. Let v = o + 3. What is the nearest to a in 4, -4, v?
v
Let x = -0.59 - -0.09. What is the closest to 2 in 2, x, -2?
2
Let m(d) = 3*d + 14. Let p(z) = -2*z - 9. Let o(l) = -5*m(l) - 8*p(l). Let h be o(-6). Which is the nearest to -0.3? (a) 3 (b) h (c) -0.3
c
Let k = -3 - -4. Let r = -7 + 6. Let x = r + -3. What is the closest to k in 0.5, -1, x?
0.5
Let w(l) = -3*l**2 - l - 2. Let g be w(2). Let p be (8/20)/(g/410). Let z = p + 10. What is the nearest to -1 in 5, -0.1, z?
z
Let h = -4.8967 - -0.0067. Let j = h + -0.11. What is the nearest to 1 in 2/7, 2/3, j?
2/3
Let c = -143 + 150.3. Let p = c + -7. Let o = 55 - 53. What is the nearest to -2 in p, 2/5, o?
p
Let j be 17/17 + (-21)/19. What is the closest to 0.2 in j, 0.2, -2?
0.2
Let l be (-4 + 125/30)*3/(-1). Let h be 2/4 + 66/4. Let p = h - 137/8. Which is the nearest to l? (a) -2 (b) p (c) 4
b
Let r = 16.3 + -16. What is the closest to 3 in 0.5, r, -1?
0.5
Suppose 2*t + 18 = 5*t. Suppose -4 = 4*r + 5*n, 0 = -2*r + t*n - 2*n - 2. Let m = -4.6 - -5. Which is the closest to -2/9? (a) 3 (b) r (c) m
c
Let p = -50 + 149/3. Which is the nearest to -0.2? (a) -2 (b) p (c) -0.2
c
Let k = 229 + -4353/19. What is the closest to -0.1 in -2, k, 0.06?
k
Let d be 5/((-5)/2) - 1. Let t be 2/d*6/(-16). Let a = -27 + 109/4. What is the nearest to t in a, -3/2, -3/7?
a
Let x = -1.3 + 1. Suppose 0 = 6*b - 27 + 219. Let g be 1/(4/b) - -3. What is the nearest to 0 in g, -1, x?
x
Suppose -15 = 3*r, 4*o - 2*o + 15 = -3*r. Suppose o = -0*q + 3*q. Let i be 1/((-3)/(-13 + -2)). Which is the nearest to q? (a) 3 (b) i (c) 2
c
Suppose 9*p - 12*p = -9. What is the nearest to 0.1 in 1/4, p, 2/3?
1/4
Let y = -2 - -7. Let k = -4.8 - 0.2. Let t = k - -1. Which is the nearest to 0.1? (a) y (b) t (c) -0.1
c
Let f = 112 - 108. Which is the nearest to 0.1? (a) 3 (b) 0.5 (c) f
b
Let s = -1190/9 - -132. Let x = -0.5 - -0.2. What is the nearest to 0.1 in 4, s, x?
s
Let i be (-70)/(-12) + 2/12. Let t be (i/(-4))/(3/4). Let z = -371/90 + 39/10. Which is the nearest to 0.1? (a) t (b) 0.3 (c) z
b
Let s = 1 - 0. Let y = 19 + -18.7. What is the closest to s in -2/3, -2/7, y?
y
Let d = 1 + -5. Let w(n) = n - 3. Let o be w(0). Let q = 0 - 5. Which is the nearest to -0.1? (a) o (b) q (c) d
a
Let o = -4.6 - -2.6. Let a = -2 - 0. Let j = a - o. What is the nearest to -1 in j, -4, 4/5?
j
Suppose 0 = -5*t - 0*t. Suppose -5*l = -5 - t. Let p = 3 - l. Which is the closest to 0? (a) p (b) -1/6 (c) 5
b
Let f = -0.9 + 0.4. Let d = 0.48 - -0.02. What is the closest to -0.1 in d, -0.2, f?
-0.2
Suppose -2*x = 2*a - 50, 75 = 4*x - x - 5*a. Suppose -4*y = y + 5*u + x, 2 = -u. What is the closest to -1 in 0.2, y, -2/9?
-2/9
Suppose 3*h = -3*s, 4*s = h - 0*s - 20. Let v be ((-1)/(0 - h))/2. Which is the closest to -0.1? (a) -1 (b) v (c) -2/11
c
Suppose 0 = 5*b + 3*h + 24, 0*b - 4*b - 2*h - 20 = 0. What is the nearest to -1 in -0.5, b, -0.3?
-0.5
Let h = 0.22 + 0.08. Let m = 0.04 + 0.06. Suppose 0 = 2*n - 7*n - 25. Which is the nearest to m? (a) h (b) -2/19 (c) n
a
Let t = 0 - -3. Let u be 2/4*(-3)/((-63)/12). Which is the nearest to u? (a) 0.1 (b) t (c) 1
a
Let l = -15.93 - -16. Let z = -29 - -28.57. Let w = | {
"pile_set_name": "DM Mathematics"
} |
ters picked without replacement from {h: 2, y: 6}?
3/14
Three letters picked without replacement from {x: 2, w: 1, r: 1, u: 1, n: 1, t: 1}. What is prob of sequence wut?
1/210
Two letters picked without replacement from ffqfffff. What is prob of sequence qf?
1/8
What is prob of sequence qyyy when four letters picked without replacement from qyyqxyqxxyqxxyx?
2/273
Four letters picked without replacement from {g: 2, k: 1, v: 4, x: 1}. Give prob of sequence vkgx.
1/210
Three letters picked without replacement from ggpgggggggpppppp. Give prob of sequence ppg.
9/80
What is prob of sequence lrr when three letters picked without replacement from rtrkrkkktrmtrrl?
1/91
Four letters picked without replacement from jhhhhhnnjhjhjhjhhhhh. What is prob of sequence nnhj?
13/11628
Two letters picked without replacement from npnnpzqpppnnnqnnpn. What is prob of sequence pz?
1/51
Three letters picked without replacement from ezztaalc. Give prob of sequence tlc.
1/336
What is prob of sequence tr when two letters picked without replacement from {s: 1, r: 1, e: 1, p: 1, t: 2, i: 1}?
1/21
What is prob of sequence vpv when three letters picked without replacement from ppvv?
1/6
Four letters picked without replacement from jzpj. Give prob of sequence jjjp.
0
What is prob of sequence sm when two letters picked without replacement from {a: 1, y: 1, p: 1, s: 2, u: 1, m: 1}?
1/21
Two letters picked without replacement from {r: 1, b: 2, a: 1, t: 2, l: 1}. What is prob of sequence bb?
1/21
Two letters picked without replacement from zzztbbitbm. What is prob of sequence ti?
1/45
Calculate prob of sequence dy when two letters picked without replacement from adazyyhh.
1/28
Two letters picked without replacement from wwkz. What is prob of sequence wk?
1/6
Two letters picked without replacement from uumuuuuu. Give prob of sequence um.
1/8
Four letters picked without replacement from pecicippecteo. Give prob of sequence pitp.
1/1430
What is prob of sequence do when two letters picked without replacement from {d: 12, o: 3, t: 3}?
2/17
Two letters picked without replacement from {h: 1, i: 2, l: 6, v: 1, z: 2}. Give prob of sequence zh.
1/66
What is prob of sequence kdwu when four letters picked without replacement from {w: 5, k: 2, d: 10, u: 3}?
5/1938
Two letters picked without replacement from vovjo. Give prob of sequence vj.
1/10
Four letters picked without replacement from {c: 10}. What is prob of sequence cccc?
1
What is prob of sequence vf when two letters picked without replacement from fhivoooooi?
1/90
What is prob of sequence zvwi when four letters picked without replacement from wivvvvvwvyzz?
1/495
Two letters picked without replacement from {i: 2, h: 4, q: 10, l: 4}. What is prob of sequence hl?
4/95
Three letters picked without replacement from nddaynady. What is prob of sequence nya?
1/63
Two letters picked without replacement from hsihihhsishiioiiiiis. What is prob of sequence oh?
1/76
Two letters picked without replacement from dddldldddddadla. Give prob of sequence ld.
1/7
Two letters picked without replacement from kyay. Give prob of sequence ay.
1/6
Two letters picked without replacement from oqcqvsvsqcsqqvovvo. Give prob of sequence cs.
1/51
What is prob of sequence yy when two letters picked without replacement from {g: 1, y: 2, r: 4, f: 1, o: 2, e: 4}?
1/91
Calculate prob of sequence iw when two letters picked without replacement from {i: 2, w: 2, g: 2, f: 4}.
2/45
Four letters picked without replacement from {u: 2, g: 1, w: 1, m: 1, j: 1, e: 1}. Give prob of sequence ugme.
1/420
What is prob of sequence xm when two letters picked without replacement from {m: 1, x: 1, f: 1, r: 1, z: 1}?
1/20
Three letters picked without replacement from upsvspppusspsspsusup. Give prob of sequence sus.
28/855
Calculate prob of sequence vn when two letters picked without replacement from ynnnnynyvy.
1/18
What is prob of sequence xxuk when four letters picked without replacement from {k: 3, x: 5, u: 4}?
2/99
Three letters picked without replacement from nvpzx. Give prob of sequence npx.
1/60
What is prob of sequence ik when two letters picked without replacement from mnkhdhi?
1/42
Four letters picked without replacement from {q: 6, h: 4, f: 3}. Give prob of sequence qhhh.
6/715
Four letters picked without replacement from vvfvvrhf. Give prob of sequence fhff.
0
Two letters picked without replacement from qqtqqqtqkqqtqtqqt. What is prob of sequence qq?
55/136
Two letters picked without replacement from {e: 1, d: 2, w: 1}. What is prob of sequence de?
1/6
Four letters picked without replacement from kmmmhmkem. What is prob of sequence hmkk?
5/1512
Two letters picked without replacement from {g: 3, s: 3, j: 3, c: 6, d: 1}. What is prob of sequence gg?
1/40
Two letters picked without replacement from {e: 5, l: 7, f: 2}. Give prob of sequence ff.
1/91
Three letters picked without replacement from {j: 1, g: 2}. What is prob of sequence ggj?
1/3
Two letters picked without replacement from {t: 5, s: 3, f: 2, a: 5, n: 1, h: 4}. What is prob of sequence af?
1/38
Two letters picked without replacement from {n: 17, w: 3}. Give prob of sequence nw.
51/380
Calculate prob of sequence pp when two letters picked without replacement from poppoopppphpoopopp.
55/153
Calculate prob of sequence my when two letters picked without replacement from {m: 1, l: 1, y: 1}.
1/6
Four letters picked without replacement from {c: 9, v: 5}. What is prob of sequence cvvc?
60/1001
Four letters picked without replacement from uutnnnnxtntbbvn. Give prob of sequence nxvb.
1/2730
Calculate prob of sequence yy when two letters picked without replacement from yyyr.
1/2
What is prob of sequence eeh when three letters picked without replacement from eewehhtew?
1/21
Two letters picked without replacement from mma. Give prob of sequence mm.
1/3
Three letters picked without replacement from {u: 3, r: 2, d: 15}. What is prob of sequence rrd?
1/228
Two letters picked without replacement from qqqwwdiwqw. Give prob of sequence qw.
8/45
Calculate prob of sequence qvqv when four letters picked without replacement from qqqqqqqvvvqq.
2/55
What is prob of sequence ee when two letters picked without replacement from zwezzzzeeeeeezwzzz?
7/51
What is prob of sequence rr when two letters picked without replacement from {r: 5, u: 3, c: 2, s: 7, j: 3}?
1/19
Two letters picked without replacement from duuwpypuuduup. Give prob of sequence pw.
1/52
Two letters picked without replacement from jkkqjjkkqj. Give prob of sequence jk.
8/45
What is prob of sequence vva when three letters picked without replacement from {t: 2, v: 4, a: 4}?
1/15
Three letters picked without replacement from {j: 6, h: 1, p: 2, u: 2, g: 1}. Give prob of sequence guh.
1/660
Three letters picked without replacement from ooydyydy. Give prob of sequence odo.
1/84
What is prob of sequence tttd when four letters picked without replacement from {f: 5, d: 2, e: 5, t: 3, z: 5}?
1/9690
Calculate prob of sequence sg when two letters picked without replacement from {s: 2, h: 4, m: 3, g: 1}.
1/45
Calculate prob of sequence of when two letters picked without replacement from {t: 3, f: 1, h: 3, o: 2, x: 1}.
1/45
Three letters picked without replacement from {c: 6, i: 5, d: 1, b: 2, a: 2}. What is prob of sequence iic?
1/28
Three letters picked without replacement from {c: 1, d: 2, p: 1}. Give prob of sequence cdd.
1/12
Calculate prob of sequence vqv when three letters picked without replacement from vqqvvvvv.
5/28
Calculate prob of sequence vmvm when four letters picked without replacement from {i: 1, m: 4, v: 3}.
3/70
Two letters picked without replacement from {f: 1, z: 1, v: 1, k: 1, s: 1, q: 2}. Give prob of sequence fk.
1/42
Calculate prob of sequence ee when two letters picked without replacement from {e: 6, l: 4}.
1/3
Two letters picked without replacement from pgppppuyyppxpjx. What is prob of sequence pg?
4/105
What is prob of sequence nff when three letters picked without replacement from {f: 11, n: 2, y: 7}?
11/342
Calculate prob of sequence fiii when four letters picked without replacement from iiiiiffifi.
1/8
What is prob of sequence hmm when three letters picked without replacement from hggghghgmmmhmh?
5/182
Three letters picked without replacement from {o: 1, k: 10, u: | {
"pile_set_name": "DM Mathematics"
} |
/14)?
-7/2
What is the value of 1848/70 - 13 - 13?
2/5
What is (-4)/2 - (-16 - -16 - (-4)/(-1))?
2
(-6)/(-100)*((-25)/(-30) - 1/6)
1/25
Calculate (-4 - -22) + 896/(-40).
-22/5
3/(((-3)/95)/((-1504)/(-80) - 19))
19
Calculate (17 - (-2 + 16)) + 29.
32
Calculate 1*16/40 - (4 - (-83)/(-5)).
13
Calculate (-2057)/(-6732) + (0 - (-6)/(-27)).
1/12
Evaluate (-1 - ((11 - 20) + 7))/((-2)/8).
-4
What is the value of (-2222)/151096*(-8)/(-1)?
-2/17
What is the value of (-2)/(-8) + 11/4 + 884/(-204)?
-4/3
(-538)/(-807)*42/(-4)
-7
What is (-282)/(-4465)*19*(-20)/1?
-24
What is the value of ((-5)/2)/((-1470)/(-7644))?
-13
Evaluate 3078/33345*(-1 - (-8)/3).
2/13
What is the value of 22/4 + (-2 - -1) + (-598 - -593)?
-1/2
Evaluate ((-6)/(-9) - 13/24) + 20/20.
9/8
(-32 - -25 - 87/(-15))*(-10)/4
3
What is (23/(-46))/(68/16)?
-2/17
Calculate ((-4)/11)/(5600/18480).
-6/5
(896/14 - 44)*2/18
20/9
Calculate ((-180950)/9075 + 2/(-33))/(0 + 1).
-20
What is the value of 1639/149 - 10/5?
9
What is the value of ((-300)/80)/(-3) + (2 - 7/2)?
-1/4
What is the value of 6*(234/2574 + 37/(-165))?
-4/5
Calculate 6/(-22) + 1359/(-99).
-14
Evaluate (5 + (-16)/3)*(2 + (-248)/136).
-1/17
222/(-20) - 22/2200*-10
-11
What is -6*((-5423)/174 + 30)?
7
((-72)/405)/(13/195*10)
-4/15
What is (-280)/(-375) - ((-4)/(-34) + 644/1173)?
2/25
What is the value of (-2)/(-2) - (116/7 - (-36 - -52))?
3/7
What is the value of (-3584)/(-210) + 7/(-105)?
17
What is the value of (-16)/(-144)*-3*7?
-7/3
What is the value of (-83)/(-747) + (-145)/9?
-16
What is the value of (2/20)/(-5 + 10 + 54/(-10))?
-1/4
What is the value of 1950/(-117) + 32/(-24) + -11?
-29
What is -13 - (-1182)/90 - 11/(-5)?
7/3
Evaluate ((-39)/(-2)*(-11)/33)/(2/(-8)).
26
What is the value of (-48)/(-42) - (-2812)/259 - 1*-4?
16
Calculate ((-19)/9)/(-19) - (-1)/(-3).
-2/9
What is (2 - 10/4) + 9 + (-1658)/196?
2/49
Evaluate ((-156)/(-21))/((-266)/(-931)).
26
Calculate 231/(-189)*(-3)/1.
11/3
Evaluate (1/(10/(-12)))/(117/(343980/168)).
-21
Calculate -11 + (-19)/((-7068)/4068).
-2/31
Evaluate 31/2 - (-140 - -153) - 3.
-1/2
((-3)/(-3))/(-5 + -1 + (-282)/(-48))
-8
(-732)/66 - (-7 + (30/(-10) - 0))
-12/11
-69*(-37)/(-1110) - (-24)/10
1/10
What is 22/6 - (-72)/(-108) - (-17)/(-5)?
-2/5
Evaluate ((-4146)/594 - -7)/(11/(-33)).
-2/33
18*(1 - (-55)/(-50))
-9/5
Calculate ((-66)/44)/(39/208).
-8
What is (-13 - (-320)/24) + (-14)/(-3) + 0?
5
(-9)/162*15*4/10
-1/3
(546/1365)/(1/(-20))
-8
What is ((-66)/(-50) + -1)*100/(-400)?
-2/25
What is (-58)/(-812) + (-225)/14?
-16
What is ((-75)/8 - -1) + (122 - 114)?
-3/8
What is the value of ((-8)/12)/(3584/192)*8?
-2/7
((-3)/(-12))/(116/1740)
15/4
Calculate (-2223)/285 + 9/5.
-6
55/616 - (-6)/48
3/14
What is (-9)/((-19)/((-494)/(-39)))?
6
What is the value of (-8)/(-2)*(18/(-48) + 1/(-8))?
-2
Evaluate (3 + -9)*(1/(-4) - (-153)/476).
-3/7
What is 22/(-198)*45/(-10)*22?
11
Evaluate -2 - (-7 - (10/4 - 2)).
11/2
What is the value of 2/(-2) - (14 - ((-655)/(-30) - 6))?
5/6
-8*(-7)/112*-34
-17
416/(-64) - (-3)/(-18) - -8
4/3
((-319)/55 + -3 + 8 + -1)*-15
27
What is (48/(-15) - -3)*(9/2 - -3)?
-3/2
Evaluate (5/(-17))/(1450/580).
-2/17
Evaluate (714/(-595))/((21/(-10))/(-7)).
-4
What is 5 + 424/(-40) - (2 + -8)?
2/5
4/(-8)*-2 - 11/(-198)*-39
-7/6
Calculate (((-1)/(414/(-2058)) - -1) + -6)*3.
-2/23
What is the value of 4438/(-634) + -4*2?
-15
-1*((-43989)/12298 - (-1)/13)
7/2
Calculate ((-14)/5)/(48/(-300))*(-8 - -10).
35
(-8)/(-84) + 1248/126
10
What is -4*(-18)/(-72)*7?
-7
Evaluate (-12)/(-32)*-20 - (-11)/(33/24).
1/2
((-63)/(-7) - 240/28)*14/20
3/10
Calculate 13 + (-65)/((-12675)/(-2520)).
1/13
1*(15 + 413/(-28))/(-1)
-1/4
What is the value of -61 - -59 - (-12 + 2)?
8
What is the value of ((-11)/((-385)/50))/((-145)/1015)?
-10
Evaluate 16*((-2)/22)/(168/(-924)).
8
What is -15*((-28)/22 - 45/(-165))?
15
Evaluate (4/18*48)/2*(203 - 200).
16
Evaluate 169/12 + ((56867/(-228))/41 - -6).
14
Evaluate 9/216*117 + (-3 + 0)/(-24).
5
What is the value of 0 - ((-7)/14*-12 + 212/(-35))?
2/35
Calculate (-637)/(-195)*-5 + 15 - 148/(-30).
18/5
Evaluate (-2)/(-7) - 1188/189 - 14/(-2).
1
6/(-27)*-2 - (-38 + (-10880)/(-288))
2/3
Evaluate 264/(-440)*165/(-9).
11
Calculate (-22)/(-4)*((-2600)/(-275))/(-26).
-2
What is (-1508)/(-174)*9/(-24) + 2?
-5/4
What is the value of 144/504*140/(-8)?
-5
Evaluate 2*(-7)/4 + -115 + 38 + 82.
3/2
Evaluate (-8)/7 - -52*34/3094.
-4/7
What is (-4207)/55292*(-24)/21?
2/23
Evaluate (-2)/((-32)/10 - -4)*(-216)/2880.
3/16
What is the value of -270 - -252 - 19/(-1)?
1
56/40 + (-8424)/260 + 2/1
-29
Evaluate (7 - 2)/(450/(-46) + 10).
23
Calculate -5 + 94/14 + -3 + 1.
-2/7
Calculate (10 + 715/(-91))*(-12)/15.
-12/7
What is the value of 5 - (273/18 + (-5)/(-6))?
-11
What is the value of 720/50 + -1*70/7 + -2?
12/5
Evaluate 0 + -1 + (1782/(-77))/(-27).
-1/7
Evaluate 6/20*-2*(-2 + 3/(-1)).
3
3 + 1 + 4 + (-20 - -18)*8
-8
(2 - (-32)/(-7))*(90 + -83)
-18
((-210)/(-280))/(2/(-10) - 2319/(-120))
2/51
Calculate 2 + 2 - ((0 - -10) + -15).
9
9/(-12)*(4/(-7))/(54/126)
1
721798/(-28776) - 50/(-2)
-1/12
What is (7 + -5 + 28)/(-7) + 6?
12/7
Calculate (-4)/(-1) - 3 - (-525)/(-140).
-11/4
Calculate (-3 - -1)*2*24*20/640.
-3
Evaluate -1 - (-22)/18 - (-15 + 732/54).
5/3
What is ((-9)/(-16))/(23/184)*(-8)/(-2)?
18
Calculate (6/4)/(945/252) + (-38)/(-5).
8
((-3)/18)/((-42)/36)
1/7
What is 9 + 2/(-308)*1402 + (-2)/(-7)?
2/11
Evaluate (-2 - 62/(-4))*6/(-9).
-9
Evaluate (336/(-392))/((-50)/(-280)).
-24/5
What is the value of 36/20 + (-652)/340?
-2/17
(-266)/(-18) - ((-171)/19 + 158/18)
15
Calculate -5 - (20/(-30))/(2/11*1).
-4/3
Calculate ((-49)/(-14))/1*7/14*16.
28
244*(-3)/(-18) + 125/(-300)*4
39
What is 646/(-272)*8 + 46?
27
Evaluate -18 - ((-16)/(-104) - 96/(-52) - 0).
-20
((-512)/48)/(-32)*(-3)/4*2
-1/2
What is 776 + -788 - 44/(-1)?
32
What is the value of 452/(-30) + 655/9825?
-15
What is (-30)/(-18)*15/(-100)*20?
-5
What is the value of -3*8/6*((-77)/594)/7?
2/27
What is the value of -23 - (-7 - -959)/(-34)?
5
Evaluate ((-8)/120)/((-126)/135).
1/14
33217/3304 - 11 - 8/(-14)
-3/8
(0 - (-4)/14) + 40216/(-28791)
-10/9
Evaluate ((105 - 113)*(-1)/16)/(6/(-18)).
-3/2
What is the value of 24 - 18/(-36)*0?
24
((-10)/(-8))/(59535/9072)
4/21
(-136 + 143)*(-8)/6*234/(-91)
24
What is the value of (-14 + 15)*56/(-24)*(-3)/(-21)?
-1/3
What is the value of (-56 - -90 - 21) + (-70)/4?
-9/2
Calculate ((-1)/5)/((-343)/(-1155) + 20/(-60)).
11/2
What is 4242/(-909)*((-2)/3 + (-7)/3)?
14
Evaluate 1809/(-1206)*(-1)/2.
3/4
Evaluate (-1 - 44/(-36))*72.
16
Calculate (102/344 - 300/6450)*68.
17
-6*((-10)/3 - -1) - -15
29
What is the value of 216/(-16)*124/(-93)?
18
(-2)/26 - (-18 - (-129700)/7280)
3/28
What is 14 + ((-7)/(-98)*-4)/((-10)/(-70))?
12
Evaluate (2616/(-120) - -20)*(-1)/(-6).
-3/10
What is 8/14*71/((-62054)/(-161))?
2/19
(-13)/(13/4) - ((-405)/(-21))/(-5)
-1/7
Evaluate (2 - -2)/(-24 + 1820/78).
-6
Evaluate (-23)/(-45) - (-80)/(-200) - 5/(-117).
2/13
What is 5 + 5 - 2379/234?
-1/6
What is ((-4590)/(-187) - 24) + 40/(-66)?
-2/33
Calculate 0*(2 + (-3)/2) + 38657/1333.
29
What is (488/(-61) + (-6)/(-1))*10/(-4)?
5
What is 376/(-38) - -1 - (230 + -239)?
2/19
What is (-64)/(-14) - (-9 + (-25)/((-525)/294))?
-3/7
What is 0 - 6 - (-6 + 44/99)?
-4/9
What is the value of 7/294*-2 + 4/(-14)?
-1/3
What is the value of (-126)/216 + (-120)/(-144)?
1/4
((-70)/112)/((-80)/576)
9/2
Calculate 182/42 - (128/(-24) + 5).
14/3
What is 22/(-275) + (-1115)/125 + 4?
-5
Calculate (11 + 210/(-20))*3 - (0 + -6).
15/2
Calculate 21/9 + 203*94/(-987).
-17
(-10)/12*(99/275)/((-57)/(-95))
-1/2
What is the value of (-284)/(-923)*(-26)/(-76)?
2/19
What is the value of (6 - 3) + 22*(-5)/40?
1/4
Calculate 66/(-22)*((2 - 0) + 396/(-54)).
16
Calculate 496/(-5376) + 10/(-105).
-3/16
Evaluate 41/21 - (102/119)/(12/4).
5/3
What is (25/(-6))/(((-71)/639)/((-1)/(-30)))?
5/4
((-190)/(-114))/((-1)/6)
-10
Calculate (-33)/11 + ((-57)/(-6))/(36/24).
10/3
Calculate (-4 - 378/(-70))*2*-5.
-14
24157/(-2842) - -2*(-2 - -3*1)
-13/2
What is the value of ((-14)/(-4))/(((-3)/21)/((-8)/(-28)))?
-7
What is the value of 2/(-32)*(-676)/169?
1/4
(182/546)/((-5)/(-840)*-10)
-28/5
What is (-28371)/1127 + 7 + 18?
-4/23
Calculate ((-87)/(-5278)*52)/(4/126).
27
What is (-16)/6 - ((-1372)/42)/(-14)?
- | {
"pile_set_name": "DM Mathematics"
} |
-1/3 in m, z, -0.4?
-0.4
Let c = 0.019 - -0.051. What is the closest to -1/2 in 0.2, 1, c?
c
Let d = 11/6 + -3/2. What is the closest to -7 in 0.1, 1/5, d?
0.1
Let w = 0.04 - -0.16. Let t = 5 - 6. Which is the closest to 2/7? (a) 2/3 (b) w (c) t
b
Let l = 2 + -4. Let g = 2.1 + l. What is the closest to g in 0.3, 0.2, 1/3?
0.2
Let y be 0/2 + -8*3/(-84). What is the closest to 0 in 0, y, -4?
0
Suppose 3*w - 4*k = -13, -2*w + 4*k = 1 + 9. Which is the closest to -0.1? (a) -4/7 (b) w (c) -3/4
a
Let m = 6 + -3. Let t = 0.04 - 2.04. Let j = 2 + t. What is the closest to j in m, -0.3, -0.1?
-0.1
Let n = -2 + 1.8. Let w be -9 + 6 + 26/8. What is the nearest to 1 in w, 4/3, n?
4/3
Let p = -0.06 - -0.1. Let w = p - 0.44. What is the closest to w in 5, 2/5, 0.3?
0.3
Suppose 2 = 3*f - 7. Let b(o) = o**3 + 8*o**2 - 10*o - 4. Let x be b(-9). Let v = -0.2 + -0.1. What is the closest to -0.1 in x, f, v?
v
Let m = 0 - -0.1. Let j be ((6/(-1))/(-3))/4. Let o = 1 - j. Which is the closest to m? (a) -0.5 (b) o (c) 2
b
Let i be -2*15/(-12)*2. Suppose 0 = -i*v + 12 + 18. Suppose 3*z + 3*q - v = 0, 3*z = 5*q - 2 - 8. Which is the closest to z? (a) 1/4 (b) -5 (c) -4
a
Let z = 377/5 + -75. Which is the nearest to z? (a) 0 (b) 0.5 (c) 2
b
Suppose 2*d + 0 - 6 = 0. Let p = 0 + d. Suppose 7*v + 18 = -2*s + p*v, 5*s - 15 = 2*v. What is the nearest to -1 in s, -5, 4?
s
Let d = 24 + -21.5. Let k = 2.6 - d. What is the nearest to k in 0, -2/3, -5?
0
Let o be -6*((-9)/6)/(-3). Let l be (-1)/(-2) - (-1)/o. Let d = -0.05 - 0.35. What is the nearest to -3 in -3, l, d?
-3
Let v = 0.5 + -1.5. Which is the closest to 1? (a) -3/7 (b) v (c) 5
a
Let v be ((-10)/(-25))/((-7)/5). Let y be 34/(-8) + (-1)/(-4). What is the closest to 2/5 in y, 2/5, v?
2/5
Let y = -1 + 0.95. Let h = y + 0.35. Which is the closest to -1? (a) h (b) -3 (c) 2
a
Let y = 0.37 + 2.68. Let u = -0.05 + 0. Let l = u + y. What is the closest to 2/7 in -3, l, -2?
-2
Suppose 0 = 6*m - m. Let c(q) = q**3 + 8*q**2 + 1. Let x be c(-8). Let f = x - 0. What is the closest to f in m, 0.2, 1/3?
1/3
Let d be (-6)/(((-20)/(-4))/(-1)). What is the closest to d in -0.4, -0.5, 0.2?
0.2
Suppose -5*p - 1 + 19 = -2*g, -4*g - 16 = 0. Let i(x) = -1 + 3*x - 5*x**p - 5*x + 3*x**2. Let m be i(-1). Which is the closest to 1? (a) -3 (b) 0.1 (c) m
b
Let m = -0.4 + 0.33. Let y = -0.37 - m. Let z be 40/18 + 2/(-1). Which is the closest to 0? (a) z (b) -0.5 (c) y
a
Suppose -6*w = -2*w + 4. Suppose 4*r = t - 3, 3*r + 0 - 4 = 2*t. Let o = t + 3. Which is the nearest to w? (a) o (b) 0.1 (c) 2/11
a
Let n = -0.2 - 0. Let j = -0.12 - n. Let t = j + 0.02. Which is the nearest to t? (a) 4 (b) -1 (c) 1
c
Let t(u) = -u**3 + 4*u**2 - u + 1. Let q be t(4). Let m = q + 5. Let w be (-4)/(-6) - (-1 + m). Which is the nearest to w? (a) 0.3 (b) 2/15 (c) -0.5
c
Let v = -7.8 - -8. Let w(i) = 3*i**2 - i - 1. Let p be w(-1). Let c be 3*(2 - 15/7). What is the nearest to v in 1/5, c, p?
1/5
Let t be (3/(-2))/((-5)/(-2)). What is the nearest to 0 in -0.06, t, -2?
-0.06
Let g = 2.8 + 0.2. Which is the closest to 1/2? (a) g (b) -3 (c) 0.1
c
Let y = 6 - 2. Let j = -4.2 + y. Let l = 372/5 + -75. Which is the closest to 0? (a) 4 (b) j (c) l
b
Let s be (-2)/6 - (-10)/(-10). What is the nearest to 0.1 in -2, s, 2/3?
2/3
Let l = 0.42 + -0.02. Let q = l + -0.9. Let t = -0.1 + 1.1. Which is the nearest to -0.1? (a) -3/5 (b) q (c) t
b
Let x be (-4)/(-6) - (-2)/(-4). Let t be (-3)/9 - (70/(-15) + 4). What is the closest to t in -1, x, 0.3?
0.3
Let q = -1.7 + 0.7. Which is the nearest to q? (a) 5 (b) 2 (c) -0.2
c
Suppose o + 2*o = -5*g, 3*g - 5*o = 0. What is the closest to g in 0.02, 4/5, -1/2?
0.02
Let s be 1/(-10) - 5/(-10). Let d(z) = -z**3 - 3*z**2 - 3*z - 1. Let t be d(-2). Let a be t*5/((-70)/4). What is the nearest to -1 in a, s, 1?
a
Let g = 77 - 76. What is the nearest to 0.1 in -1, g, -5?
g
Let x = -2.2 - -2.1. Which is the closest to x? (a) -2/9 (b) -9/4 (c) -0.4
a
Let g = 1.05 + -0.95. Let f = -4 + 2. Which is the nearest to g? (a) -0.4 (b) 0.5 (c) f
b
Let a be ((-6)/(-96))/((-2)/4). What is the closest to 0 in a, 3, 4?
a
Let s = 0.9 - 4.7. Let m = -0.8 - s. Let r = -0.7 + 0.4. What is the closest to 0 in r, 2/13, m?
2/13
Let t(x) = -x**2 - 6*x**3 - 2*x + x**3 - x**2 - 1. Let w be t(-1). What is the nearest to -1/5 in w, 4/3, -3?
4/3
Let q be (-44)/(-12) - 8/2. Let f = -0.02 - 2.98. What is the nearest to 1 in q, f, 4?
q
Let i be 6/(-12) - 10/(-4). Let x be 7/i*(-1)/(-7). Which is the nearest to -1? (a) 0.2 (b) -0.3 (c) x
b
Let k = 66.9 + -67. What is the closest to k in 0, 6/7, 4/5?
0
Let d = 3.01 - 0.01. Let i = 8 + -4. Let v = i - d. What is the closest to 2 in v, -2, 2/13?
v
Let w = 0.02 - -4.98. Let c = 0 - 1. What is the nearest to c in -1, 1, w?
-1
Let y be (-4)/((-56)/46) + -3. Let n = -0.3 + 0.2. Let w = -7/6 - -2/3. Which is the nearest to n? (a) w (b) y (c) -4
b
Let n = -6.4 - -5.4. Which is the closest to -1? (a) -3/2 (b) n (c) -0.3
b
Let q be 1*1/((-26)/4). Let m = 20/3 + -31/6. What is the nearest to -2 in m, q, 0.5?
q
Let y = 2.113 - 0.113. What is the nearest to 1/4 in -1, 0.1, y?
0.1
Let m(p) = 4 - 4 - p. Let f = 17 + -21. Let a be m(f). What is the nearest to 1 in 1/8, a, 3?
1/8
Let z = -1.6 + 3.6. Which is the nearest to 0? (a) z (b) -5 (c) 4
a
Let i = 0.3 + -0.4. What is the nearest to 2/3 in i, 4, -2/9?
i
Let k = 0.2 - -0.3. Suppose 5*d + 2*h = -0*h - 23, d + h = -7. Let i be d + 7*28/68. Which is the nearest to -1/3? (a) k (b) 0.2 (c) i
c
Let o = 8 + -1. Let f = 7 - o. Suppose w + u - 4 = f, w + 4*u - 16 = -0*w. Which is the nearest to -1? (a) 0.3 (b) 2 (c) w
c
Suppose 3*z + 5*o + 196 = -133, z = 3*o - 133. Let t = -1061/9 - z. What is the nearest to -0.2 in 0.2, 4, t?
t
Let w = -3 + 2.9. Let m = 28 + -28.1. What is the closest to m in -1/3, w, -0.2?
w
Let u = 1 - -10. Let i = u - 8. Suppose p - 9 = -4*t - 4*p, -5*p = -t - 29. What is the closest to -1 in i, t, -0.4?
-0.4
Let p = 0.022 - -0.978. Which is the nearest to p? (a) 4 (b) -4 (c) -3
a
Let u = 127 - 126. Which is the closest to u? (a) 7 (b) 0.2 (c) 2/3
c
Suppose 2*z = -2*z + 20. Let k = 13 - 9. Let u = -3 + k. Which is the nearest to u? (a) 3 (b) z (c) 4
a
Let u = 2/15 - 4/5. What is the closest to -1 in 1/7, 5, u?
u
Let p be -3*1/(-6)*32/(-24). Suppose 5*w + 6 - 16 = 0. Let o = w + -1. Which is the nearest to 2/7? (a) o (b) -0.1 (c) p
b
Let i = -1 + -4. Let h be 6/40 + 2/i. Let u be ((-4)/10)/(6/(-10)). Which is the nearest to h? (a) 1 (b) u (c) 0.4
c
Let z(k) = k**2 + 9*k - 4. Let i be z(-9). What is the closest to -2/3 in 0, 0.5, i?
0
Let z = 0.3 - 0.4. Let v = -11 - -16. What is the closest to z in v, -4, -3?
-3
Suppose 2*p + 34 = -4*m, -20 = 3*p + 2*m + 15. Let t = 16 + -4. Let n = p + t. Which is the closest to 0.1? (a) -4 (b) n (c) 2/13
c
Let u = 128 + -128.2. What is the closest to 0 in 1/3, 1, u?
u
Let o = -10.1 - -10. What is the nearest to 1 in o, -4, 1?
1
Let j = 73/136 - 7/17. What is the nearest to 1 in j, -1, 4?
j
Let m = 4 - 3.9. Let w = -241/4 + 60. What is the closest to w in 3/8, m, -0.5?
-0.5
Suppose -3*u = -l - 30, -2*l + 3*l + 30 = -5*u. Let s be l/(-54)*1/5. What is the nearest to -1 in 0.4, -1, s?
-1
Let c = -0.1 + 2.1. What is the nearest to c in 2, -1/5, -7?
2
Let m = -109 - -108.9. Let d = 3 + -2.7. Which is the nearest to 0? (a) m (b) 2/3 (c) d
a
Let c be 1/2*(-4)/3. Let y = 16 - 8. Let l be 39/(-12) - 6/y. What is the nearest to -0.1 in 0.3, c, l?
0.3
Let z = 32/15 - 9/5. Let b = 1 - 1. Let m = 2 + -2.2. What is the closest to z in b, m, 2/11?
2/11
Let z = -12 + 10. Which is the nearest to 1/4? (a) -5/6 (b) z (c) -4/5
c
Let g be 2*(100/8)/(-5). What is the closest to 1/4 in -3, -2, g?
-2
Let t = -3 + 3.1. Let p = -0.2 + -0.3. Let d(v) = -v - 2. Let j be d(-2). What is the nearest to j in p, t, 5?
t
Let f = -92.1 - -92. What is the nearest to 0.1 in -4, f, -17?
f
Let h = 0 + 3. What is the nearest to h in 2/7, -0.5, -2/7?
2/7
Suppose 17*f = 13*f - 16. Let k be (3/(-90))/(2/(-5)). Let p = -19/84 + k. Which is the closest to -1/3? (a) f (b) -2/11 (c) p
b
Let y(a) = -2*a + 16. Let k be y(12). What is the closest to -1 in 0.1, k, -3?
0.1
Let d = -4.5 + 4.1. What | {
"pile_set_name": "DM Mathematics"
} |
s, j - 6 = -v*s for j.
0
Let q = -29 + 21. Let r be (-1)/(((-1)/3)/(-7 - q)). Suppose r*x + 11*x = 42. Solve 4*v + 3*j - 5 = 0, x*v - 3*j = 6*v - 3 for v.
2
Let t = 19999 - 19994. Solve a - 3*o + 7 = 0, 4*a + 8 = 7*o - t*o for a.
-1
Let l(p) = p**3 + p**2 - p + 21. Let v(a) = 4*a - 68. Let y be v(17). Let j be l(y). Solve -3*s + 9 = u, -3*u + s = -2*s + j for u.
-3
Suppose 410 = 3*t + 2*t. Suppose 11*s + 60 = t. Suppose 9 = 3*k - 6. Solve 3*a = w - s - 13, -a = 2*w + k for a.
-5
Let t be (3 - (-403)/(-155))/(((-2)/5)/(-2)). Solve 3*m - 1 = 6*m + 4*i, -i = -t*m + 3 for m.
1
Let f(h) be the second derivative of 13*h**3/6 - 13*h**2 + 52*h. Let r be f(2). Solve -5*y + r*y + j + 6 = 0, -5*j = -5*y - 10 for y.
2
Let s = 5 + -1. Let k(v) = -v**2 - 19*v - 66. Suppose d - 2*o = -20, 5*d - 2*o + 7*o + 55 = 0. Let z be k(d). Solve -6 = 3*j - 5*j + 2*p, -z*j = s*p - 4 for j.
2
Let q be ((-2)/6)/(2/(-12)). Let c(i) = -121*i**2 + 245*i - 3. Let k be c(2). Solve -k*v + 5*m = q*v, 4*v = 2*m - 6 for v.
-3
Let o(q) = -254*q + 3307. Let i be o(13). Solve 7*b - p = 11*b - 9, -i*b - 4*p = -14 for b.
2
Suppose -2*s = 4*x - 8, 11 = 5*s - 2*x - 9. Solve -31 + 23 = 2*m + 2*q, -m - s = -4*q for m.
-4
Let k be 2/(-3) - 4/(-6). Suppose v + 10*c - 5 = 5*c, 5*v + 4*c = 4. Suppose v = -15*w - 9 + 39. Solve w*q - 2*x - 6 = -k*x, 10 = 3*q - 2*x for q.
4
Let b be (-2)/((-2)/((-2)/(-1))). Suppose -256*j = -262*j + 24. Suppose 0 = j*t - 2*k - 52, t = -4*t - 5*k + 50. Solve 2*a + 6 = -b*g + 5*g, 4*a + t = -g for a.
-3
Let s = -7618 - -7618. Solve g - 18 = -4*r, -3*g + 0 - 6 = s for r.
5
Let r be (4/(-6))/((-32)/7440). Let q = r + -152. Solve -5*k - 8 = -4*j, q*j + k - 6 = -4*k for j.
2
Let x be 4 - (-1 - -1) - -2. Let b be 62*(3 + (-35)/14). Let a = b - x. Solve a = -3*i - 5*k, 0 = 5*i - 0*k + 4*k + 20 for i.
0
Let j = 211 - 190. Let x(g) = g**3 - 22*g**2 + 21*g + 2. Let k be x(j). Solve 2*q + 2 = 0, v = k*q - 5*q - 2 for v.
1
Let u(n) = 8*n - 121. Let b be u(20). Let x be (-36)/63 + b/7. Solve -x*h + 3*d = 0, -3*h + 5 = 2*h - 4*d for h.
-3
Suppose 12*c - 16*c - 5*d = -16, -2*c + 8 = -3*d. Solve 0 = -z - 5*f - 11 + 10, 4 = -c*z + 5*f for z.
-1
Let i be (-34225)/(-1295) + (-8)/(-14). Solve -3*k + i*h = 32*h - 17, 2*k - h = 7 for k.
4
Suppose -2*g = -3*z, -5*z + 237 = -5*g + 247. Solve -3 = -5*u + 5*r + 2, -5*u + 4*r + g = 0 for u.
2
Let z = 3 - -20. Let t be (-8)/(-32) - z/(-4). Suppose 2*f + 29*g = 25*g + 40, -5*g = -4*f + 28. Solve -f = 4*q, t*b - 9 = 3*b - 2*q for b.
5
Let f be (1 - 2)*-1 - 0 - 11. Let j(v) = -v**2 - 12*v - 18. Let s be j(f). Solve -4 = -s*i - 2*u, -1 - 4 = 2*i + 5*u for i.
5
Let b be (-6)/4*((-30)/(-8))/(915/(-4880)). Solve -5*i - 54*z = -55*z + b, 2*i + 25 = 3*z for i.
-5
Suppose 11*w + 11745 = -18*w. Let l = -401 - w. Suppose 8 = 5*j - j. Solve 0 = -3*f - l*x - 1, -x + 1 - j = 0 for f.
1
Let o be (-3 - (-12 + 9))/(-2). Solve -5*p + 15*j = 19*j + 4, o = -6*p - 5*j - 4 for p.
-4
Suppose 285 = -5*r - 2*s - 2*s, 5*r = -3*s - 280. Let x = -49 - r. Solve 3*h - y = -2*h - x, 2*y - 8 = 0 for h.
0
Let i be (-3 - -215)*(-12)/(-16)*-1. Let c be (53/i)/((-1)/6). Solve -2*n - 10 = 0, c*g - 35 = 6*n - n for g.
5
Let h(g) = -44*g - 70. Let f be h(-5). Suppose 20*l = f + 50. Solve l = -4*n - 0*x - 2*x, -2*x + 14 = -4*n for n.
-3
Let k(r) = r**3 - r**2 - 10*r - 9. Let m be k(-3). Let n(t) = -t**2 - 13*t + 30. Let u be n(m). Solve -d + 3*o + 15 = u, d - 5*o - 23 = -0*o for d.
3
Let c(b) = -b**2 + 6*b + 12. Let v be c(6). Let r(m) = m - 1. Let y be r(4). Let s(k) = -19*k + 194. Let o be s(10). Solve 4*p - 2*q - v = -o*q, 0 = -y*q for p.
3
Let z(p) = -72*p - 792. Let f be z(-11). Solve f = -2*c - h - 3, 5*c + 10*h + 9 = 9*h for c.
-2
Let x = 576 - 369. Let c = 212 - x. Solve -3*g + f + 5 + 0 = 0, 5*g - 5 = c*f for g.
2
Suppose 4 = n - 0. Let r be 117/(-18) + 2/n. Let v be (-4)/r + 2/((-12)/(-14)). Solve -v*k = -9, -w - w + k = -3 for w.
3
Let o(g) = 32*g + 11*g**2 - 8*g**2 + 27 - 62*g. Let f be o(9). Solve a + w + 9 = f, 34 = -3*a - 4*w + 3 for a.
-5
Let z = 26 + -22. Let g be 3 - (z - 4*(-4)/(-16)). Suppose -h - 3*h + 13 = v, -v + 4*h - 3 = g. Solve 0 = 3*f + v*k + 22, -13 = 5*f + 4*k + 15 for f.
-4
Let z(x) = 2*x**2 + 76*x + 83. Let r be z(-37). Suppose 0*d = r*d - 18. Solve -d*f + 3*g - 19 = 0, f + 0*g = -g + 3 for f.
-2
Suppose -4*a + 7*a = 27. Let d = 8 + -9. Let k = 4 - d. Solve -4*f + 14 = k*u, -a = 4*u - 9*u + f for u.
2
Let v(m) = -5*m**3 - 2*m**2 - m + 1. Let g = 102 - 104. Let a be v(g). Suppose a = 14*b + 7. Solve -4*y + f = -f + b, -2*y - 4 = -4*f for y.
0
Suppose -l + 3*r - 14 = -2*l, -4*l - 3*r + 101 = 0. Suppose 25*a - l = 21. Solve -3*b - 3*m = -3, -a*b + 31 = b - 4*m for b.
5
Suppose -281*u - 91 = -294*u. Solve -f - q = -6, 0 = -4*f - q + 17 + u for f.
6
Let a = -11675 + 11677. Solve 0 = -a*l - 2*q - 16, 0 = -3*l + q - 15 + 3 for l.
-5
Suppose c + 12 = -m, c = 4*c + 4*m + 40. Let p(i) = i**2 + 8*i + 3. Let b be p(c). Let h = 1301 + -1298. Solve -16 = h*q - 2*t, 5*q + 30 = 2*t + b*t for q.
-4
Let v be -2*11/110 + 26/5. Suppose 2*m - v*m + 66 = 5*j, 4*j - 44 = 2*m. Solve j + 4 = 4*s - z, 0 = -3*s + 3*z + 21 for s.
3
Suppose h - 6 = r, 21*h + 6*r + 11 = 22*h. Solve h*y = 3*k + 37, 5*y + 17*k - 13*k - 9 = 0 for y.
5
Let u be -5 + 833/14 - (-2)/(-4). Let r = u + -49. Solve r*c - 19 = k - 0*k, 5*k - 9 = -c for k.
1
Suppose 57 = 5*k - 2*n, -180*n + 185*n = -5. Solve 5*q + k = 2*q + 5*x, 14 = -5*q + 4*x for q.
-2
Suppose 1262 + 1023 = 46*f + 721. Solve f - 42 = -l - 2*d, -5*l + 4*d = -12 for l.
4
Let a(p) = -3*p - 6. Let m be a(-3). Suppose n = -m*n + 5*s + 9, s - 27 = -4*n. Solve b - n = -q, 0 = -q + 3*q - 4*b for q.
4
Let u(k) = 2*k**2 + 18*k. Let y be u(-14). Let h = y + -137. Suppose -4*f + 5*t - 3 + 43 = 0, -f - 2*t = -23. Solve 6 = -i + h*i, 5*d - 5*i + f = 0 for d.
0
Let a = 303 - 287. Suppose 6 + a = 11*m. Solve -2*h + 12 = m*h - 4*z, 5*z = -15 for h.
0
Suppose 0*o = 4*o - 16. Let g(h) = 2*h**2 - 9*h + 6. Let x be g(4). Suppose -o*u = x*y, 5*y + u = 3*u + 24. Solve 4*d = j - 6 - 7, y*j = -d - 16 for d.
-4
Suppose -4398*b + 4391*b + 77 = 0. Solve 4*f = 5*l + b, 0*f - 3*f + 3 = -2*l for l.
-3
Let q = 18 + -17. Suppose 0 = -2*o - 4, -3*r + 2*r = o - q. Suppose -5*s = k - 3 - 4, s = r*k + 11. Solve 5*u = -2*p - 5, u - s = -3*p + 10 for p.
5
Let b = 82 + -79. Let t(i) = -i**3 + 4*i**2 - 7. Let v be (2/(-6))/(2/(-18)). Let r be t(v). Solve -r*m = -b*k - m + 2, -8 = 4*k - 4*m for k.
2
Suppose 10 = 5*y - 2*d + 2, -y - 8 = 2*d. Suppose 12 = -3*v + 5*s - 17, -5*s = 13*v - 61. Solve j + 0*j + v*k - 1 = y, -5*k = 3*j - 2 for j.
-1
Let w = -10801 + 10805. Solve w*f - 2*c = -5*c, -c = -3*f - 13 for f.
-3
Suppose 3*v = 5*q + 7 - 16, 0 = 2*v - 2*q + 2. Solve -v*y - 10*f = -6*f, 0 = -3*y - 3*f + 6 for y.
4
Suppose -69*z + 101*z = 0. Solve 5*c - 2*c + 4 = -2*h, z = -2*c + 2*h - 16 for c.
-4
Let a = 3522 - 3459. Solve -1 = -s, 68*s - a*s = -4*c - 3 for c.
-2
Let n be (-72)/30*15/(-12). Suppose n*b - 105 = -45. Solve 0 = 5*a + 5*x - b, -4*x = 2 - 10 for a.
2
Suppose 82*n - 83*n = y - 9, -3*n - 2*y = -21. Solve -2*v + m - 11 = 0, 4*m = n*v + v + 24 for v.
-5
Suppose 0 = 584*c - 1944 + 192. Solve 21*b = -2*z + 22*b + 6, z = 2*b - c for z.
5
Let l(f) = -6*f**3 - f**2 - 12*f - 11. Let a be l(-1). Suppose 0 = 2*k - a, -5*u - 13*k + 59 = -10*k. Solve 4*o = 2*s - u, o = 2*s - 4*o - 11 for s.
3
Let x(f) = -f - 6. Let i be x(6). Let r(k) = k**2 + 11*k - 4. Let v be r(i). Let m = 237 + -235. Solve -4*n - v = 4*y - m*n, -4*n = -3*y - 17 for y.
-3
Let m(b) = 28*b**2 - 10*b + 3. Let g be m(2). Let z be (1/(-2))/(g/20 - 5). Let y = 2 + 1. Solve 1 + 2 = d - z*u, 4*d = y*u - 8 for d.
-5
Suppose 8*y = 3*y + 90. Suppose -d - 3*v + 0*v + 17 = 0, -d = -4*v + y. Solve 2*i = 5*p - d, -i = 1 - 0 for p.
0
Let u = 244 + -239. Suppose m = u*m. Solve c - 5*g + 25 = m, 2*c - 3*g + 22 = -0*g for c.
-5
Let r(u) = u**3 - u**2 - 27*u + 18. Let c be r(-5). Solve 1 = y, 5*v = y - 4*y + c for v.
0
Suppose 0 = -43*t + 38*t + 255. Suppose 0 = -23*s + 6*s + t. Solve q - 15 = -s*v, 3*v + 5 = 4*q + 20 for v.
5
Suppose 4*z - 26 = 2*t, -2*t - 47 + 29 = -3*z. Solve b = -w + 10, -6*b = -z*b + 2*w for b.
5
Let d = 43 + -43. Let b be d/((4 - 1)/3) - -2. Solve -8 = -b*m, 11 + 4 = -3*f + 3*m for f.
-1
Suppose 0 = -7*x + 9 | {
"pile_set_name": "DM Mathematics"
} |
vdkkvdd. What is prob of picking 1 x and 1 s?
3/68
What is prob of picking 4 x when four letters picked without replacement from {s: 7, x: 4}?
1/330
Calculate prob of picking 3 r and 1 g when four letters picked without replacement from {u: 3, v: 2, g: 1, r: 13}.
143/1938
What is prob of picking 1 l, 1 u, and 1 n when three letters picked without replacement from {n: 2, u: 1, r: 1, l: 2, w: 1, p: 1}?
1/14
Two letters picked without replacement from {r: 1, v: 4, y: 1, c: 2, b: 2, i: 2}. What is prob of picking 2 b?
1/66
Two letters picked without replacement from vvduvuuvvuuvvd. Give prob of picking 1 u and 1 d.
10/91
Four letters picked without replacement from xnsnnxnnnn. Give prob of picking 4 n.
1/6
Calculate prob of picking 1 c, 2 x, and 1 h when four letters picked without replacement from {c: 3, h: 3, x: 2}.
9/70
What is prob of picking 1 i and 1 z when two letters picked without replacement from {t: 4, k: 2, i: 9, z: 1}?
3/40
Four letters picked without replacement from {z: 6, j: 2, i: 1, w: 1, s: 8}. What is prob of picking 1 j, 1 i, 1 s, and 1 w?
4/765
Three letters picked without replacement from ddfwdfwvwr. Give prob of picking 3 w.
1/120
What is prob of picking 2 w when two letters picked without replacement from wttt?
0
Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {u: 2, a: 2, x: 1, b: 2, m: 11, o: 1}.
1/171
Three letters picked without replacement from vdvvnvgdavidg. What is prob of picking 1 n, 1 d, and 1 a?
3/286
Three letters picked without replacement from {s: 3, a: 3, l: 1}. What is prob of picking 1 a, 1 s, and 1 l?
9/35
What is prob of picking 1 y and 1 r when two letters picked without replacement from yrr?
2/3
Three letters picked without replacement from {l: 5}. Give prob of picking 3 l.
1
Two letters picked without replacement from yzhgyylgzrzh. Give prob of picking 2 y.
1/22
Four letters picked without replacement from {s: 1, z: 7, d: 6}. What is prob of picking 2 d and 2 z?
45/143
What is prob of picking 1 b and 2 h when three letters picked without replacement from ssososssshjshssjssbs?
1/1140
Two letters picked without replacement from {y: 2, w: 2, u: 4}. What is prob of picking 1 w and 1 y?
1/7
What is prob of picking 1 r, 1 i, and 1 n when three letters picked without replacement from rerrerirneiii?
10/143
Calculate prob of picking 1 x and 2 g when three letters picked without replacement from xpxpxgzxxxgxxxgxxgg.
110/969
Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, s: 3, e: 4}.
5/33
Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {u: 6, f: 12}.
8/17
Calculate prob of picking 2 n when two letters picked without replacement from rnbrrnnnbnnnnr.
4/13
Four letters picked without replacement from {u: 1, j: 1, p: 1, k: 12, t: 1, n: 3}. Give prob of picking 2 k, 1 p, and 1 n.
33/646
Calculate prob of picking 3 z when three letters picked without replacement from zsszqzzzszssskzkdq.
35/816
Four letters picked without replacement from {b: 7, l: 2, o: 2, c: 2, h: 2, k: 4}. What is prob of picking 2 k, 1 c, and 1 o?
2/323
Three letters picked without replacement from ozzzzzoozozo. Give prob of picking 3 z.
7/44
Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, n: 5, a: 13}.
1/190
Calculate prob of picking 2 r when two letters picked without replacement from {e: 14, r: 4}.
2/51
Three letters picked without replacement from gjygyybybg. What is prob of picking 1 y and 2 g?
1/10
What is prob of picking 2 d when two letters picked without replacement from {s: 2, d: 2, m: 2, b: 2, o: 4, g: 2}?
1/91
What is prob of picking 3 t when three letters picked without replacement from {v: 2, h: 7, k: 5, t: 3}?
1/680
What is prob of picking 1 j and 1 o when two letters picked without replacement from oooojojj?
15/28
Calculate prob of picking 1 q and 2 a when three letters picked without replacement from aszzqzjzsa.
1/120
Calculate prob of picking 1 t and 1 g when two letters picked without replacement from eegenggggecgete.
2/35
Two letters picked without replacement from {y: 5, d: 6, v: 2, p: 3, s: 1}. What is prob of picking 1 s and 1 p?
3/136
Calculate prob of picking 1 e, 1 v, and 1 k when three letters picked without replacement from {e: 3, v: 2, j: 9, r: 2, k: 1}.
3/340
Four letters picked without replacement from {i: 1, c: 3, g: 5, e: 9}. Give prob of picking 2 e, 1 c, and 1 i.
3/85
Two letters picked without replacement from {j: 3, l: 4, u: 2, p: 1, w: 1}. Give prob of picking 2 u.
1/55
Three letters picked without replacement from {a: 1, n: 2, g: 1, s: 1, j: 2, d: 1}. What is prob of picking 1 s, 1 a, and 1 n?
1/28
Three letters picked without replacement from vvfvffvfvvfv. What is prob of picking 3 v?
7/44
Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {x: 2, f: 1}.
2/3
What is prob of picking 1 o and 1 e when two letters picked without replacement from {e: 4, j: 2, o: 2, m: 2}?
8/45
Calculate prob of picking 2 m when two letters picked without replacement from xxxxmxmxmmmxxxxxxxx.
10/171
Calculate prob of picking 2 i and 1 u when three letters picked without replacement from uiuuuuiuiuuiuiuuiiu.
84/323
Four letters picked without replacement from {m: 2, s: 8, b: 2, g: 2}. What is prob of picking 3 s and 1 m?
16/143
What is prob of picking 1 v, 1 x, and 1 s when three letters picked without replacement from vvssntxnsvnsnns?
3/91
Four letters picked without replacement from rrllnlrvrr. Give prob of picking 1 r, 1 v, and 2 l.
1/14
Two letters picked without replacement from yyyyhhhhyhhy. What is prob of picking 2 y?
5/22
Two letters picked without replacement from {d: 3, h: 1, g: 1, k: 5, u: 3}. Give prob of picking 1 h and 1 k.
5/78
Three letters picked without replacement from {r: 7, z: 4, o: 1, q: 3, t: 1, b: 4}. What is prob of picking 2 q and 1 r?
7/380
Three letters picked without replacement from yzzuybyyyrry. Give prob of picking 1 z, 1 y, and 1 r.
6/55
Calculate prob of picking 3 o when three letters picked without replacement from {o: 5, f: 3}.
5/28
Calculate prob of picking 2 t when two letters picked without replacement from dddddtddtdtddfddd.
3/136
What is prob of picking 2 e, 1 x, and 1 l when four letters picked without replacement from {e: 5, f: 2, x: 3, r: 3, l: 3}?
9/182
Two letters picked without replacement from sllylyuyksyk. What is prob of picking 2 l?
1/22
Two letters picked without replacement from {t: 3, c: 1}. What is prob of picking 1 t and 1 c?
1/2
Calculate prob of picking 2 h when two letters picked without replacement from hshshhshhhshs.
14/39
Two letters picked without replacement from deeddyqppcpeecepc. What is prob of picking 2 c?
3/136
Three letters picked without replacement from fhffhhhxhjjjzhzffzh. Give prob of picking 1 z and 2 j.
3/323
Two letters picked without replacement from {t: 4, i: 5, p: 10}. What is prob of picking 2 t?
2/57
Three letters picked without replacement from zususzzzgsyzsy. Give prob of picking 1 u, 1 s, and 1 g.
2/91
Three letters picked without replacement from mjmjm. What is prob of picking 3 m?
1/10
Two letters picked without replacement from jjvjvjbv. What is prob of picking 1 j and 1 b?
1/7
Two letters picked without replacement from {z: 3, b: 13}. What is prob of picking 2 b?
13/20
What is prob of picking 1 j and 1 d when two letters picked without replacement from {j: 2, d: 2, e: 1}?
2/5
What is prob of picking 1 d, 1 f, and 1 p when three letters picked without replacement from {d: 1, m: 1, f: 1, p: 1, k: 3}?
1/35
Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {a: 1, q: 1, g: 3, v: 2}.
1/7
What is prob of picking 1 l, 2 b, and 1 f when four letters picked without replacement from {b: 4, h: 1, l: 4, f: 1, w: 3}?
24/715
Three letters picked without replacement from {l: 7, s: 9}. What is prob of picking 3 s?
3/20
Calculate prob of picking 2 n and 1 s when three letters picked without replacement from feenzeezneszeeeee.
1/680
Three letters picked without replacement from {j: 7, d: 4}. What is prob of picking 3 j?
7/33
Four letters picked without replacement from eeevlejbvlplvpl. What is prob of picking 1 b and 3 v?
1/1365
Three l | {
"pile_set_name": "DM Mathematics"
} |
: 1, l: 7, x: 2, j: 8}.
7/51
Calculate prob of picking 1 h, 1 j, and 1 o when three letters picked without replacement from ezhoejzeohzcohezc.
9/680
Calculate prob of picking 1 k and 1 e when two letters picked without replacement from kmmkkkkkekkemkmmeek.
40/171
What is prob of picking 1 t, 2 u, and 1 v when four letters picked without replacement from euevuuuuvuuueutue?
9/238
What is prob of picking 1 o and 1 u when two letters picked without replacement from ooouoooouuuu?
35/66
Calculate prob of picking 1 s and 2 o when three letters picked without replacement from osoooooooosooso.
198/455
Three letters picked without replacement from {h: 3, e: 3, w: 1, t: 3}. Give prob of picking 1 w and 2 e.
1/40
Two letters picked without replacement from xbxxsjbjxn. What is prob of picking 1 s and 1 x?
4/45
What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, z: 2, o: 1, a: 2, g: 2, e: 1}?
1/18
Calculate prob of picking 1 u and 3 y when four letters picked without replacement from {k: 2, w: 5, y: 5, u: 7}.
35/1938
Three letters picked without replacement from sqdystsdddmdtyqytyd. What is prob of picking 3 s?
1/969
Four letters picked without replacement from cktcttcvcctcckccc. What is prob of picking 1 k and 3 c?
12/119
Two letters picked without replacement from {t: 3, o: 4, f: 3, s: 2, u: 2, b: 2}. Give prob of picking 2 f.
1/40
Calculate prob of picking 2 o when two letters picked without replacement from {h: 1, p: 1, o: 2}.
1/6
Calculate prob of picking 3 t when three letters picked without replacement from {t: 5, c: 5}.
1/12
Calculate prob of picking 1 b, 1 k, and 1 f when three letters picked without replacement from {r: 3, b: 1, y: 3, f: 3, k: 6}.
9/280
What is prob of picking 2 v, 1 q, and 1 b when four letters picked without replacement from {m: 7, v: 3, q: 1, w: 4, b: 1}?
3/1820
Four letters picked without replacement from {h: 5, u: 8, k: 3, g: 2, j: 1}. Give prob of picking 2 g, 1 k, and 1 j.
1/1292
Calculate prob of picking 1 c, 2 k, and 1 d when four letters picked without replacement from {k: 7, h: 1, f: 2, d: 4, c: 3, e: 1}.
7/85
Three letters picked without replacement from pipppgppp. What is prob of picking 1 i and 2 p?
1/4
Two letters picked without replacement from {g: 2, k: 1}. What is prob of picking 2 g?
1/3
Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {n: 4, g: 3, e: 2, v: 2, c: 3, w: 1}.
2/35
Two letters picked without replacement from {z: 18, v: 2}. Give prob of picking 2 v.
1/190
What is prob of picking 1 c, 1 n, and 2 w when four letters picked without replacement from {n: 2, w: 6, y: 1, h: 5, c: 1}?
2/91
What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 4, e: 3, s: 1, l: 2, p: 2}?
2/11
What is prob of picking 3 c when three letters picked without replacement from {z: 2, c: 9}?
28/55
Calculate prob of picking 1 e and 2 y when three letters picked without replacement from yseseeseyeyeyeeeyes.
100/969
Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {x: 1, e: 1, t: 5, s: 1, p: 5, v: 1}.
25/91
Three letters picked without replacement from {c: 7, a: 4, z: 3}. Give prob of picking 1 c and 2 z.
3/52
What is prob of picking 1 e and 3 v when four letters picked without replacement from {e: 4, v: 14}?
364/765
Three letters picked without replacement from {r: 1, c: 4, a: 2, t: 6, d: 1, l: 1}. Give prob of picking 1 l, 1 t, and 1 a.
12/455
What is prob of picking 4 k when four letters picked without replacement from {i: 1, d: 2, k: 1}?
0
Two letters picked without replacement from mpeqmeeqqpqq. Give prob of picking 1 p and 1 m.
2/33
Calculate prob of picking 2 a when two letters picked without replacement from nnniiatntatni.
1/78
Three letters picked without replacement from itoriifior. Give prob of picking 2 o and 1 t.
1/120
Calculate prob of picking 3 z when three letters picked without replacement from zazzzzazzaaaa.
35/286
Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {g: 1, m: 4, k: 3, s: 5}.
2/39
Two letters picked without replacement from kbbfbkb. What is prob of picking 1 f and 1 k?
2/21
Two letters picked without replacement from {o: 5, v: 5, q: 1, s: 7, h: 1, x: 1}. What is prob of picking 1 s and 1 v?
7/38
What is prob of picking 1 w and 2 s when three letters picked without replacement from {s: 2, w: 1, a: 1}?
1/4
Three letters picked without replacement from cwjcjcfwwccnjlncjl. Give prob of picking 1 j, 1 n, and 1 c.
1/17
Two letters picked without replacement from {t: 3, p: 1, q: 7, g: 3}. What is prob of picking 1 t and 1 q?
3/13
Calculate prob of picking 3 f when three letters picked without replacement from {e: 1, f: 3, j: 1, s: 1, a: 1}.
1/35
Calculate prob of picking 3 p and 1 n when four letters picked without replacement from hphphpznppo.
1/33
What is prob of picking 2 r and 2 s when four letters picked without replacement from {h: 2, s: 10, r: 2}?
45/1001
What is prob of picking 1 g, 1 t, 1 u, and 1 v when four letters picked without replacement from {v: 1, g: 3, t: 3, u: 1, s: 3}?
3/110
Two letters picked without replacement from {y: 5, k: 1, l: 3, n: 6, e: 3, f: 2}. What is prob of picking 1 f and 1 l?
3/95
Three letters picked without replacement from {w: 11, b: 4, i: 3}. What is prob of picking 3 w?
55/272
Two letters picked without replacement from {q: 1, n: 12, f: 3}. Give prob of picking 1 f and 1 q.
1/40
What is prob of picking 4 q when four letters picked without replacement from qqyyqqqqyq?
1/6
Two letters picked without replacement from dcdhddhncnbnnndh. Give prob of picking 2 h.
1/40
Calculate prob of picking 1 q, 1 w, and 1 x when three letters picked without replacement from {x: 2, q: 1, w: 2}.
2/5
What is prob of picking 3 i when three letters picked without replacement from idtidttttiitiii?
1/13
What is prob of picking 3 c when three letters picked without replacement from ocjjcijiicjiiiijocc?
10/969
Three letters picked without replacement from {l: 2, b: 9, p: 1, k: 3, j: 3}. What is prob of picking 1 j, 1 k, and 1 b?
27/272
Three letters picked without replacement from pcccgycccccc. What is prob of picking 1 y and 2 c?
9/55
Four letters picked without replacement from bbvvbbbb. What is prob of picking 4 b?
3/14
Three letters picked without replacement from {h: 4, n: 4, u: 9}. What is prob of picking 2 n and 1 u?
27/340
Two letters picked without replacement from cmmccm. Give prob of picking 2 m.
1/5
Calculate prob of picking 4 l when four letters picked without replacement from llellllellllell.
33/91
What is prob of picking 2 m and 2 f when four letters picked without replacement from mmmffmmpfmffpmmmmmm?
55/323
What is prob of picking 2 s when two letters picked without replacement from {s: 3, i: 17}?
3/190
Three letters picked without replacement from vdzzvfw. What is prob of picking 1 f, 1 w, and 1 v?
2/35
Three letters picked without replacement from {v: 13, l: 3}. Give prob of picking 2 v and 1 l.
117/280
Four letters picked without replacement from {e: 3, j: 17}. What is prob of picking 3 j and 1 e?
8/19
What is prob of picking 1 b and 1 p when two letters picked without replacement from {n: 6, t: 5, b: 1, p: 1, l: 1, v: 2}?
1/120
Four letters picked without replacement from mamlwlluaumuaap. What is prob of picking 1 u, 2 a, and 1 w?
6/455
Three letters picked without replacement from rrgrrrrg. Give prob of picking 2 g and 1 r.
3/28
Four letters picked without replacement from {v: 5, w: 4, p: 2}. Give prob of picking 2 v and 2 w.
2/11
What is prob of picking 1 z and 3 g when four letters picked without replacement from gsgzsgssggusnezsssnz?
2/323
What is prob of picking 1 j, 1 w, and 1 o when three letters picked without replacement from wjyjojyjjjjyyjuwoy?
2/51
What is prob of picking 2 g when two letters picked without replacement from zgzggzzzzgzzzzzzzzz?
2/57
Three letters picked without replacement from {e: 1, t: 4, i: 9, z: 2}. Give prob of picking 1 i, 1 t, and 1 e.
9/140
Calculate prob of picking 3 q and 1 k when four letters picked without replacement from {f: 5, k: 3, q: 1}.
0
Three letters picked without replacement from {x: 1, y: 2, b: 2, l: 1, j: 2, m: 1}. What is prob of picking | {
"pile_set_name": "DM Mathematics"
} |
o be 2 - -2 - 16413/4264. Let s = -1/328 - o. Which is the third biggest value? (a) -3 (b) -2/15 (c) s
a
Suppose -6*g - 330 = -342. Which is the second smallest value? (a) -1/3 (b) -3 (c) g (d) 2/11
a
Let j be ((-4)/(-15))/((-10)/(-60)). Let n = 577 + -1153/2. What is the smallest value in j, 5, n?
n
Let d be (5 - (3 + -1))*-1. Suppose 10 + 18 = -4*c. Let r = d - c. What is the second smallest value in r, 7, -0.1?
r
Let f = 7453/616 - 575/56. Let r = f + -17/11. What is the smallest value in r, 0, -0.4?
-0.4
Let x = -73 + 19. Let s = 49 + x. Let f be 2/6 - 13/21. Which is the smallest value? (a) f (b) s (c) 0.1
b
Let q = 656 - 657. What is the third smallest value in -4, q, -0.6, -0.01?
-0.6
Let v = 3.5 - 3.5. Let m = 20 + -25. Which is the third biggest value? (a) v (b) 5 (c) m (d) -0.05
d
Suppose -10 = 2*a - 7*a. Suppose -4*s = 6*q - a*q + 36, -5*q + 4*s = 0. Let u = 0.05 + 1.95. What is the smallest value in u, 0, q?
q
Let z be ((-85)/75)/1 + 1. Which is the second smallest value? (a) -1 (b) z (c) 1 (d) -46
a
Let r = -2.04 - -2.34. Which is the second smallest value? (a) -0.12 (b) 2 (c) r (d) -0.1
d
Let v = -46.1 + 46.2. Which is the biggest value? (a) v (b) -1/4 (c) -4
a
Let q = 221/2 - 887/8. What is the third smallest value in q, 3, -5?
3
Let y = 1 - 0.5. Let o = 0.1 + -0.1. Let j = -516.8 - -517. Which is the third smallest value? (a) j (b) o (c) y
c
Let h = 102.3 - 97.3. What is the second smallest value in 17, -1/6, h?
h
Let m be 2*(-14)/441*-9. Which is the fourth biggest value? (a) -14/3 (b) m (c) -2 (d) -2/7
a
Let g = 19.24 + -0.24. Let f = 15 - g. Let o = -1848/13 + 142. Which is the second smallest value? (a) 5 (b) f (c) o
c
Let b = -361 + 363. Let w = -7.7 - -9. What is the biggest value in b, w, -2?
b
Let i = -16/75 + 1/75. Suppose 428 = v + 426. What is the smallest value in -2/7, i, v, 0?
-2/7
Let o = 2.7 + -1.3. Let t = -8.77 - -9.07. What is the biggest value in t, o, -2/7?
o
Let a(y) = y**2 - y - 2. Let l be a(-2). Suppose -4*k + 4 - l = 0. Let f = 273/695 + 1/139. What is the second biggest value in k, f, 4?
f
Let j be (6/8)/(1/(-4)). Let x be -3*(-13)/(-12) - j. What is the smallest value in 0.3, -0.13, x?
x
Let p = 9 + -9.07. Let t = 1.93 - p. Let z be 1/2 + 11/(-22). What is the second smallest value in t, z, 1/2?
1/2
Let k be (3/(-99))/((-17)/51). What is the fourth biggest value in 12/25, k, 2, 0.3?
k
Let i = 1887/7 - 270. Which is the fourth smallest value? (a) 3 (b) i (c) -12 (d) -0.2
a
Let b be 90/75 + (-4)/20. What is the fourth biggest value in 5, b, -0.1, -3?
-3
Suppose 4*r + s - 22 = 0, -3*r - 6 + 31 = 5*s. Which is the second smallest value? (a) 21 (b) 0.2 (c) r (d) -2
b
Let r = 0.657 + -0.477. Which is the third biggest value? (a) 4 (b) 0.5 (c) r
c
Let t be 0 + (-1 + 2)*2. Let d = -1460 + 1465. What is the third smallest value in t, 1, -0.2, d?
t
Let z = 0.0321 + -9.0321. What is the third biggest value in z, 5/3, -0.5?
z
Let y = -0.38 + 25.38. Let h = y + -21. Let i = -7 - -3. Which is the second smallest value? (a) h (b) 6 (c) i
a
Suppose -2*o = -5*o. Suppose 3*y = g + 1 + 5, -3*g + 2*y - 11 = o. Which is the second smallest value? (a) 2 (b) 2/13 (c) g
b
Let t = 1.2 - 1.7. Which is the fourth smallest value? (a) -4/9 (b) t (c) -0.4 (d) 17
d
Suppose 7 - 19 = -4*m - 3*r, -4*m + 12 = 4*r. Suppose -w - 2*w = -6. What is the third smallest value in -0.3, w, m?
m
Let z = -4.6 + 3.2. Let y = 0.4 + z. What is the second biggest value in -0.5, 0.4, y?
-0.5
Let w = 3.35 + 1.33. Let z = w + 1.32. Which is the third smallest value? (a) -3 (b) z (c) -3/8
b
Let g = 271.1 - 271. What is the fourth biggest value in -2/5, 1.1, g, -1?
-1
Suppose 0*b + 4*b = 0. What is the smallest value in 0.4, b, 4, 36?
b
Let c be -3 + 0 + (-278)/(-6). Let g = c + -43. Let j = -47/96 + 5/32. What is the third smallest value in g, 1, j?
1
Let i be (362/48)/(1/3). Let d(z) = z**3 + 4*z**2 - z - 3. Let h be d(-5). Let u = h + i. Which is the second biggest value? (a) -5 (b) 2/17 (c) u
c
Let y = -1743 + 1741. Let n = -0.5 + 0.3. Which is the second smallest value? (a) n (b) -7 (c) y
c
Let a = -2.4 + 1.9. What is the third biggest value in -3/7, a, -2, -1?
-1
Let m = -55 + 17. Let g = 34 + m. Let o = 4.4 - 4. Which is the biggest value? (a) -0.1 (b) g (c) o
c
Let k = 7 - 2. Suppose -6 = 3*h, -v + 5*h + 26 = 3*v. Let j = k - v. What is the second smallest value in 1/8, j, 4?
j
Let d be 3/(-3) + 1299/12. Let m = d - 108. Which is the third smallest value? (a) -3 (b) m (c) -10
b
Let o = -0.32 + 0.6. Let w = 1.77 + -3.05. Let a = w + o. What is the biggest value in a, -2/7, 0.2?
0.2
Let s = 18 - 25. Let g = 4 + s. Let k = 698 + -702. What is the second biggest value in g, -1, k?
g
Let h be ((-2)/(-10))/((-4)/10). Let k = -4427/4 + 1107. What is the second smallest value in k, 1, h?
k
Let g = 589 + -589.01. What is the third smallest value in -149, g, 0.2?
0.2
Let m = 0.6 - 1.8. Let a = m - -0.7. What is the third biggest value in -3, 0, a?
-3
Let w = 1 + -0.9. Suppose 0 = 4*p + 2*p - 48. Suppose -4*s = p + 4. Which is the biggest value? (a) 0.2 (b) w (c) s
a
Let s = 0.386 - -4.614. What is the second biggest value in 1/3, s, -3/10, -3/14?
1/3
Let h(d) = -d**2 - 5*d + 7. Let q be h(-6). Let k be -3*q - 171/(-63). Let x = 4558/17 - 268. Which is the third biggest value? (a) k (b) x (c) -2
c
Let z be (1 - 5) + 3 + -2. Let l = -49 - -48.8. What is the third biggest value in -0.3, z, l?
z
Let g = -4363/9 - -485. What is the biggest value in g, 0.3, -54?
0.3
Let w = -89/124 + -1/31. Let u = -40 + 37. Let v be 12/10*((-10)/(-4) - 2). Which is the smallest value? (a) w (b) u (c) v
b
Let k = -0.42 + 0.25. Let j = 0.37 + k. Which is the third smallest value? (a) 1 (b) j (c) 5
c
Let j = 0.3 - 4.3. Let v = -1373 + 1377. Suppose 0*m - 2*m = -6. Which is the third smallest value? (a) j (b) m (c) v
c
Let v = -53.2 - -64.2. What is the second biggest value in v, 0.7, 0?
0.7
Let r = 322 + -313. Which is the biggest value? (a) 1 (b) -0.3 (c) -2/11 (d) r
d
Let n(x) = -7 + 8*x - x**3 + 0*x - 8*x**2 - 16*x. Let o be n(-7). Suppose 5 = g - o*g. Which is the third biggest value? (a) g (b) -8 (c) 0.5
b
Let g = -16705 + 16705.1. Let o = -0.01 + 3.01. Which is the third biggest value? (a) 1/3 (b) -3 (c) o (d) g
d
Suppose 0 = -5*u - 6*i + i + 25, 0 = 4*u - i + 5. Which is the second smallest value? (a) 0.04 (b) -1 (c) u
c
Suppose 0 = v + 4*v + 25. Suppose 6 = t - 0. Suppose -3 + t = -3*j. Which is the smallest value? (a) -0.3 (b) v (c) j
b
Let p = -106 - -105.8. What is the second biggest value in p, -2/13, -18, 0.1?
-2/13
Let k be ((-155)/15 - -11)*(-30)/4. Which is the second smallest value? (a) 2/19 (b) k (c) 1/3
a
Let r = -2/367 + -321/8441. Which is the second biggest value? (a) -3/4 (b) 0.1 (c) -4 (d) r
d
Let l = -193 - -38. Let x = 160 + l. What is the biggest value in 11, x, -3/4?
11
Let x = -8.47 + 0.17. Let n = -6.3 - x. Let d = 1 + -4. Which is the second smallest value? (a) 0.1 (b) n (c) d
a
Let u = 272.2 + -272. Let i = -20544 - -183080/9. Let h = 202 + i. Which is the smallest value? (a) 5/2 (b) u (c) h
b
Let c = -348.7 - -329. Let h = -24.9 + 4.9. Let a = h - c. What is the second biggest value in 4, a, -2/3?
a
Let y be ((-3)/(-5))/(2/10). Let r = -2.4 - -0.4. Let a = -297 + 302. What is the third smallest value in y, r, a?
a
Let l = -125/3 - -631/15. What is the third smallest value in l, 0.02, -1?
l
Let u = 34 - 35. Let b = 68 - 65. What is the second smallest value in 5/3, b, u, -0.2?
-0.2
Let p = 0.6 - 1. Let u = -0.6 + p. Let z be ((-2)/4)/(30/180). What is the third biggest value in z, 0.4, u?
z
Let w = -2 + 1.8. Let y = 12026.95 - 12027. What is the smallest value in -0.3, y, w, -5?
-5
Let z = 6.04 - 0.04. Let g = z - 5.7. Let v be (8/30)/((-72)/540). Which is the biggest value? (a) g (b) v (c) 0
a
Let j(n) = -55*n + 6. Let h be j(-1). Let m = h + -51. Which is the third smallest value? (a) -1 (b) m (c) 0.4
b
Let t be (12/(-27))/(28/(-6)). Let x = 8 + -3. What is the biggest value in t, x, 2, 0.5?
x
Let f = -593/3 + 196. Suppose 0*c + 3*c = 6. Let u = c + -5. What is the smallest value in f, -0.4, u?
u
Let t be (3/(-15))/((-12) | {
"pile_set_name": "DM Mathematics"
} |
s ((-230)/(-49335))/(13/((-1053)/(-18)))?
3/143
Evaluate (-2574)/(-3366)*3/(-39).
-1/17
((392645/708)/(-605))/(11/(-69))
23/4
Calculate ((-1729)/665*-5)/((-1)/(-1)*-1).
-13
364/3913*645/30
2
What is the value of (-544)/224*7*49/(-7)?
119
Evaluate ((-514)/771)/((-18)/1269).
47
(-20884)/1135*(-75)/(-30)
-46
Calculate (1640/(-1722))/(20/(-420)).
20
Calculate ((-12)/40)/(545/18530)*5.
-51
What is (-22113)/(-14040)*(-16)/7?
-18/5
What is the value of (14/(-12)*13*(-1708)/(-793))/(2/3)?
-49
What is the value of ((-525)/495)/(-5)*(5616/(-910))/36?
-2/55
Calculate ((1694/(-22))/154)/(3/492).
-82
What is the value of (-2)/(((-2714)/59)/(-1012))?
-44
Calculate ((-6)/(-27))/((-1750)/40950).
-26/5
Evaluate (74/(-185))/(1*(264/255)/11).
-17/4
Evaluate (133/(156009/34799))/((-1)/((-6)/2)).
89
What is ((-15)/3)/((-565)/452)?
4
What is the value of ((-892)/223)/((954/(-21)*1)/((-18)/28))?
-3/53
What is the value of (312/(-14))/((-196)/(-7889)*-23)?
39
What is (-2)/33*1134/378?
-2/11
Calculate (((-1295)/222)/7)/(7/462).
-55
What is (-1155)/(-21)*(-68)/(-1190)*-21?
-66
What is the value of (6*(-3)/696)/(-49*(-41)/(-16072))?
6/29
Evaluate (1962/1635)/((-56)/1)*-4.
3/35
Calculate ((-18)/(-10))/((-32445)/(-12875)).
5/7
(-1)/(65*(-2603)/(-44525))
-5/19
Calculate ((-21)/(-12))/((-4025)/39100).
-17
What is the value of (-1)/(((-4)/(-6))/((-351496)/(-9948)))?
-53
Calculate (((-111)/(-1776))/((-2)/72))/(78/24).
-9/13
((-10)/4*(216/45)/(-3))/((-15)/(-240))
64
-4*(-26)/((-21840)/(-330))
11/7
Evaluate 413/(-2124)*18*(-4)/14*-27.
-27
What is (690/(-23))/((-8)/(-8))?
-30
Calculate 8/24*(-1128)/11844.
-2/63
Evaluate (2214/972)/((-4)/(-72))*1*-1.
-41
57/(-2)*(-2)/((-9)/12*(-8)/2)
19
(2019/(-24901))/(3/(-2))*(-1)/2
-1/37
(1/(49/7))/(7/(-70))
-10/7
Evaluate -4*(-7)/(-2)*2.
-28
Calculate ((-288)/(-4))/3*126/(-567)*45/(-4).
60
What is the value of (-2*6/(-12)*-1)/(3/1)*-129?
43
Calculate ((-9)/57)/(16*(-33)/(-352)).
-2/19
Evaluate (1098/(-8))/(-20*(-621)/(-5520)).
61
What is the value of 2715/58825*(-10)/((1/2)/(2/4))?
-6/13
What is 112/416*-13*156/(-21)?
26
(3/(-440)*22)/(-30*(-5)/(-20))
1/50
What is (((3/(-3))/((-24)/(-6)))/(51/7242))/(-1)?
71/2
Calculate ((-10)/((304/4)/(-1)))/(((-540)/16)/(-27)).
2/19
What is the value of (((-6)/15)/(-1*(-48)/90))/(1464/(-64))?
2/61
6/(((-10)/7)/(3915/2349))
-7
What is the value of (-14)/(-13)*94939/(-175272)?
-7/12
What is 2/(18/3*4*31/(-372))?
-1
What is the value of ((-85)/4)/((6680/(-224))/167)?
119
((396/(-24))/(-33))/(12/(-56)*7/36)
-12
Calculate ((-5568)/(-319))/(-32)*5/10.
-3/11
Calculate 45/(-3780)*-3*(-35)/(-15)*260.
65/3
What is (-4)/54*(-1)/38*4*2922/(-1948)?
-2/171
What is ((-40278)/(-189))/(-137)*((-18)/(-21))/((-24)/(-21))?
-7/6
Evaluate 30039/3534*(-48)/17.
-24
What is (-120)/(-288)*-12*(-3)/((-6)/2)?
-5
Calculate 520/3640*(-8)/6*3.
-4/7
What is (-1847)/(-1847)*(-2)/(-205)?
2/205
What is the value of ((-374)/(-68))/((2/14)/(12/14)*3)?
11
What is (-9)/(-27)*(-28)/98*2/60*-7?
1/45
Calculate (-8)/(-8)*-34*1.
-34
(126/(-81)*(-17)/(-119))/(2/(-576))
64
Calculate ((-7)/9)/(59/((-39825)/(-300))).
-7/4
(115*3230/(-6555))/((-4)/(-6))
-85
Calculate (-90)/(-20)*2/(-6)*(-962)/39.
37
Calculate (56780/8016)/(8/(144/(-30))).
-17/4
Evaluate 7*20/(-70)*((-51)/4)/(120/(-320)).
-68
What is the value of ((-108)/(-45))/12*950/(20/(-2))?
-19
What is ((-248)/(-465))/(8/9)*2/(-10)?
-3/25
((-8)/260)/((693/(-45))/(-7))
-2/143
Evaluate (5/5)/((15/8)/(3105/13800)).
3/25
What is 7170/(-956)*2*16/12?
-20
What is 7*1007/(-1113)*1?
-19/3
Calculate -26*76/107198*-31.
4/7
Evaluate (-456)/798*(-26)/((-110500)/525).
-6/85
What is (-10)/48*((-35)/50)/(161/46)?
1/24
((-1116)/(-7254))/(37/(-1))*13
-2/37
(98/(-60907)*113)/((-4)/1606)
73
What is (60*(-155)/223200)/(-1*2/((-8)/(-2)))?
1/12
Calculate (19980/333)/((-56)/4)*42/9.
-20
What is (-4*7*(-15)/3780*-6)/(6/477)?
-53
What is (3/((-6)/(-2))*3)/((4680/(-380))/78)?
-19
Evaluate ((-20)/(-5)*410/615)/216.
1/81
What is (-32)/(-192)*(-4136)/(-188)?
11/3
What is the value of ((44/605)/(11/(-2035)))/(68/(-374))?
74
Evaluate (13103424/227490)/((-4)/(-10)).
144
What is (-104)/4160*220*3/297?
-1/18
Calculate (7/4)/((-725515)/(-43640)).
2/19
What is the value of 16/224*1*8*(-3)/(-1)?
12/7
What is the value of (64/(-3))/(-8*(-2)/(-12)*30/(-240))?
-128
Evaluate (21*3)/((21/(-4))/((-9016)/2576)).
42
What is (120591/(-281379))/((-1)/(-19)*(-3)/(-21))?
-57
What is the value of (-4)/10*-12*(-4)/(-12)*10?
16
Evaluate (2/56)/((5355/(-280))/(-17)).
2/63
What is 63/1209*479663/46419?
7/13
What is the value of 25/((-3)/((-54)/(-45)))?
-10
((-1182852)/(-271920))/(-4*3/(-160))
58
3/((-42)/(-2))*88/(2200/(-475))
-19/7
Calculate 2*((-819)/(-105)*-5)/(-2).
39
(135/(-12))/((-9)/(-24))*(-746)/1865
12
Calculate (20925/(-6900)*-23)/((-27)/12).
-31
What is the value of (2/(-3)*(-167)/334)/(680/96)?
4/85
Calculate -39*10*13/(-1950).
13/5
What is ((-15)/(-6))/((-3)/(-6))*(-10114)/293306?
-5/29
Evaluate (-2745)/3660*(-4)/(-21)*-2.
2/7
Evaluate 3276/3822*(-28)/(-15).
8/5
Evaluate (114/(-14))/(4218/(-98420)*20/(-6)).
-57
What is ((-954)/795)/(4503/95)?
-2/79
(-4)/(4/5)*1234/(-481260)*(-24)/10
-2/65
Evaluate (-13*(-168)/3432)/(28/154).
7/2
What is ((-2)/(-26))/((-36)/(-208)*1140/289845)?
113
Evaluate ((-13)/(-39))/(18*(-6)/(-1620)).
5
Evaluate ((-2)/(-177)*-6)/((-79)/((-2370)/60)).
-2/59
((1690/507)/(-1))/((-1)/(-12))
-40
Calculate ((19/(798/(-504)))/(28/(-3)))/(3/63).
27
What is the value of (13/(-5))/(4258/(-42580))?
26
What is ((-1)/17)/((-144890)/(-2216817))?
-9/10
What is (360/(-10))/6*((-8816)/(-1131))/(-19)?
32/13
What is (-35)/21*3/8?
-5/8
What is the value of 60/(-624)*(-12)/(-9)*(-342)/(-19)?
-30/13
((5/((-75)/(-6)))/((-320)/(-48)))/(1314/(-1095))
-1/20
3/(-231*(-52)/5720)
10/7
(-5)/(-27)*(-1)/4*(-2256)/235
4/9
Calculate (-975)/(-2600)*(-1024)/(-1248).
4/13
((-6)/12)/((-3)/2)*987/7
47
Evaluate -1*(-54)/126*(-2555)/(-219).
5
Calculate 32/(-120)*(-655)/(-5764).
-1/33
Calculate (-138)/1472*56*10/3*(-138)/21.
115
(-225)/((-52650)/312)*12/(-832)
-1/52
What is (-2)/1*59/((-36344)/(-88))?
-2/7
Calculate 24*((-266)/(-2926))/(12/22).
4
(4/5)/((-38)/12825*5)
-54
What is (-5)/(-1)*39032/(-2380)*(-1)/(-2)?
-41
Evaluate (-186)/93*7/(224/24)*21/3.
-21/2
Calculate (-245)/6517*(-6)/3*(-14)/(-4).
5/19
What is the value of ((-156)/45)/(3148/(-70830))?
78
What is ((-1200)/175)/8*19/190?
-3/35
What is the value of 5*(52/2080)/(5/(-40))*46/(-2)?
23
What is the value of (-4056)/195*(5/(-7))/(60/105)?
26
What is 16*(-714)/(-1088)*56/(-21)?
-28
What is (-27846)/(-273)*6/(-42)*14/(-4)?
51
(((-14)/6)/(-7))/((57904/(-396))/47)
-3/28
Calculate 70/(-290)*198/231.
-6/29
What is 364/(-1134)*(-42)/91?
4/27
Calculate ((765/27)/17)/((-9)/(18/1)).
-10/3
Evaluate 1*((-30)/35)/(30/70).
-2
What is ((-63)/(-10))/(((-19734)/(-115))/26)*40/30?
14/11
Calculate -2*2/46*(-9)/((-792)/22).
-1/46
Evaluate (-45)/873*(-5)/5*4/100*-5.
-1/97
(-22)/(-2)*67586/(-7909)
-94
Calculate 324/234*3276/189.
24
Calculate 15/20*-6*(-208)/(-117).
-8
Evaluate (-176)/18*19773/(-4394).
44
Evaluate 1/(-9)*-3*(-28314)/429.
-22
What is 112*2*-2*(-38)/(-532)?
-32
What is the value of ((9/(-210)*-16)/((-9348)/210330))/(4/14)?
-54
(130/273)/((-235)/(-987)*(-9)/(-8))
16/9
What is the value of (46/3)/((-866)/(-1299))?
23
Calculate ((-1064)/1197)/(12/(-27))*-34.
-68
Evaluate (1042/(-1563))/(2/3).
-1
Calculate 12/(-15)*816/(-6528).
1/10
Calculate (-370)/(-148)*600/(-25).
-60
Evaluate 29*90/6525*5/(-7)*9/42.
-3/49
Calculate (58/(-4))/((59/826)/(19/133)).
-29
What is (224161/(-108465))/((-62)/108)?
18/5
Calculate 6*-5*(96/30)/16*(-1)/(-99).
-2/33
((-53352)/2736)/((-2)/(-8))
-78
What is the value of (9/(-10))/((429114/9520)/(-601))?
12
What is (-2*297/22)/(((-6)/(-16))/(-1))?
72
(-11)/1*(-14)/(-1771)
-2/23
What is (-91)/65*12/21*(-17)/(-68)*370?
-74
What is the value of (4344/29684)/(8/164)*-3*(-5)/27?
5/3
Calculate 45/195*208*5/180.
4/3
What is -10*1628/(-4070)*(-35)/(-4)?
35
What is 46*(-58)/((-146740)/2915)?
53
Evaluate 117/(-18)*5*120/(-1800).
13/6
Evaluate ((-4194)/76890)/((((-32)/80)/(2/5))/(-30)).
-18/11
What is the value of ((970/(-2619))/((-20)/72))/(((-18)/(-6))/72)?
32
((-11)/(-8))/(810/(-9720))*156/(-33)
78
What is the value of (-2394)/76*9/1782*11?
-7/4
Evaluate (1605/(-2675))/((-9)/(-240)).
-16
Evaluat | {
"pile_set_name": "DM Mathematics"
} |
2*i*w - 14*i + 1829*w**2 - 32*w wrt w?
-4*i + 3658
What is the first derivative of -4*n**3 + 165*n - 2468 wrt n?
-12*n**2 + 165
What is the second derivative of -7*m**3 - 2*m**2*n*u + 12*m**2*n - m*n*u + 2*m*n - 480*n wrt m?
-42*m - 4*n*u + 24*n
What is the second derivative of -274*b**5 - 98*b wrt b?
-5480*b**3
Find the third derivative of z**6 + 59*z**4 - 9*z**2 + 6*z.
120*z**3 + 1416*z
Find the third derivative of -1219*n**4 + 3859*n**2 wrt n.
-29256*n
Differentiate -21*a*b + 5796*a - 50*b with respect to b.
-21*a - 50
Differentiate -2*r**2*z**3 + 2*r**2*z**2 + 2*r*z**2 - 215*z**3 with respect to r.
-4*r*z**3 + 4*r*z**2 + 2*z**2
Find the third derivative of -460*f**5 + 2*f**4 - 232*f**2.
-27600*f**2 + 48*f
Differentiate 101*t + 173 with respect to t.
101
Find the second derivative of 14*f**4*h - 2*f**3*h - 137*f**2*h - 10*f*h - 458*f wrt f.
168*f**2*h - 12*f*h - 274*h
Find the second derivative of -b*g*m**2 - 2*b*g + 2*b*m**2 + 2*b*m + 137*g*m**2 - g*m - 2*g wrt m.
-2*b*g + 4*b + 274*g
Find the first derivative of -a*h**2*z + a*h**2 - 24*a + 9*h**2*z - 2*h - 5*z wrt a.
-h**2*z + h**2 - 24
What is the second derivative of 390*c**2*r**2*x**3 + 4*c**2*x**3 + 23*c*r**2 + 2*c*r*x**3 - 17*c*x + 2*r*x**3 wrt c?
780*r**2*x**3 + 8*x**3
What is the second derivative of -203*a**5 + 34*a wrt a?
-4060*a**3
Differentiate -2*d**4 + 51*d**3 - 85 with respect to d.
-8*d**3 + 153*d**2
What is the second derivative of -n**3*u - 2*n**3 + 58*n**2*p*u + n**2*u - 712*n*p*u - p*u wrt n?
-6*n*u - 12*n + 116*p*u + 2*u
Find the second derivative of 2*a**5*l + 35*a**3*l + a**2*l**2 - 2*a*l**2 + 150*a wrt a.
40*a**3*l + 210*a*l + 2*l**2
What is the derivative of 337*p + 306 wrt p?
337
What is the third derivative of 60*l**3*n**6 - 6*l**3*n**4 - l**3*n**2 - 25*l**3 + 7*l**2*n**2 wrt n?
7200*l**3*n**3 - 144*l**3*n
Find the third derivative of 596*c**3*v**3 - 25*c**2*v**3 - c**2*v - 6*c*v**3 wrt c.
3576*v**3
Find the second derivative of i**4 - 10*i**3 + 275*i**2 - 2*i - 1293 wrt i.
12*i**2 - 60*i + 550
What is the third derivative of 3102*p**3 - 16*p**2 - 72 wrt p?
18612
Differentiate n**4*z - 498*n**2*z**2 - n*z**2 - 608*z**2 + 2*z wrt n.
4*n**3*z - 996*n*z**2 - z**2
What is the third derivative of 178*n**4 + 36*n**2 - 2*n wrt n?
4272*n
What is the second derivative of 75*p**3 - 7*p**2 + 2*p + 106?
450*p - 14
What is the third derivative of 20*j**5 - 187*j**2 wrt j?
1200*j**2
What is the third derivative of -293*n**3*y**4 - n**3 - 5*n**2*y - n*y**2 wrt y?
-7032*n**3*y
Differentiate -8*a**2*q**3 - 5*a**2*q - 3*a**2 - q**3 + 523*q**2 wrt a.
-16*a*q**3 - 10*a*q - 6*a
Find the third derivative of 15391*h**6 + h**3 - 5*h**2 + 594 wrt h.
1846920*h**3 + 6
What is the first derivative of 3*j*k*o**2 - 2*j*k*o*r - 3*j*k*r - 22*k*o**2 - 19*o**2*r wrt r?
-2*j*k*o - 3*j*k - 19*o**2
What is the third derivative of 18*g*t**2*y**4 + 4*g*y**4 + 112*g*y**2 - 2*t**2 - t*y**4 wrt y?
432*g*t**2*y + 96*g*y - 24*t*y
Find the third derivative of -53*l**2*y**3 - 2*l**2*y**2 - 5*l*y**5 + l*y**2 + 640*y wrt y.
-318*l**2 - 300*l*y**2
Find the first derivative of 628*o**3 - 12 wrt o.
1884*o**2
Find the second derivative of 2*j*r**3*z + 4*j*r**2*z + 2*j*r*z - 4*j*z - 73*r**3*z + 2*r**2 - 3*r*z + 71 wrt r.
12*j*r*z + 8*j*z - 438*r*z + 4
Find the third derivative of 7544*c**3*q**3 - c**2*q - 10*c*q**3 + 3*c - 7*q**3 wrt c.
45264*q**3
Find the third derivative of 83*p**6 + 3*p**3 + 92*p**2 + 13 wrt p.
9960*p**3 + 18
Find the third derivative of p**2*z**4 + 5*p**2*z**3 + 2*p**2*z - 7*p**2 + 2*p*z**4 - 11*p*z**2 wrt z.
24*p**2*z + 30*p**2 + 48*p*z
Find the third derivative of 29*i**5 + 3*i**3*n + 3*i**2 + 2*i*n + 6 wrt i.
1740*i**2 + 18*n
What is the third derivative of -6999*r**2*s**3*x**2 - 6*r**2*s - 2*s**2 - 178*x**2 wrt s?
-41994*r**2*x**2
Find the first derivative of 177*o**4 + 452 wrt o.
708*o**3
Find the second derivative of 87*i**2 - 943*i.
174
Find the third derivative of -2170*w**3 - 42*w**2 + 2*w + 3 wrt w.
-13020
Find the second derivative of 4*z**3 + 10*z**2 + 43*z.
24*z + 20
Find the third derivative of 283*k**5 + 898*k**2 wrt k.
16980*k**2
What is the second derivative of 398*c**2*y**2 - c**2 + c*y**3 + 624*y wrt y?
796*c**2 + 6*c*y
Find the second derivative of f**2*l - 176*f**2 + 21*f*l - 5*f wrt f.
2*l - 352
Find the first derivative of 3*f*o + 14*f - o + 44 wrt f.
3*o + 14
What is the third derivative of 3*g**3*r**3*u - g**3*r**2*u**3 + 346*g**2*r**3*u**3 - 2*g*r*u**3 - 2*r**3 wrt g?
18*r**3*u - 6*r**2*u**3
Find the third derivative of -15997*m**4 - 7040*m**2 wrt m.
-383928*m
Find the third derivative of 712*f**4 + 486*f**2.
17088*f
What is the derivative of -3*n*r*x + 7*n*r - n*x**2 - 2*r**2*x + 12*r**2 + 5*x**2 wrt x?
-3*n*r - 2*n*x - 2*r**2 + 10*x
What is the third derivative of -d**2*v**3 - 17*d**2*v**2 - 1896*d*v**5 - 2*d*v**2 wrt v?
-6*d**2 - 113760*d*v**2
Find the second derivative of 14*a*r**2*u*z**3 - 17*a*r**2*z - a*r*u*z**3 - a*r*z**3 - 2*r**2*u**3 - 169*r*u**3*z - r*u*z**3 wrt r.
28*a*u*z**3 - 34*a*z - 4*u**3
Differentiate -32*v**3*w + 2*v**3*z + 121*v**3 - 4*v**2*w**4 + 5*v - 6*w*z - 2*z with respect to w.
-32*v**3 - 16*v**2*w**3 - 6*z
What is the derivative of -a*m**2*w - 12*a*m*w**3 + 2*a*w**3 - 9*a*w + 3*a wrt m?
-2*a*m*w - 12*a*w**3
Differentiate 4138*z - 2148 wrt z.
4138
What is the third derivative of -725*n**4 - 916*n**2 wrt n?
-17400*n
Differentiate 6749*d**2 - 13066 wrt d.
13498*d
Find the third derivative of c**3*s**3 + 3*c**3*s - 2*c**2*s**2 - 33*c*s**4 wrt s.
6*c**3 - 792*c*s
Find the second derivative of -5709*i**2*n**3*p**2 - 2*i**2*n**2 - 5*i**2*n*p + 25*i*n*p - n**3 wrt p.
-11418*i**2*n**3
Find the first derivative of -713*j**4 - 48 wrt j.
-2852*j**3
What is the derivative of -2401*i**4 - 5969?
-9604*i**3
Find the second derivative of -102*g**3*t + 2*g**3 - 2*g**2*t + 165*g*t wrt g.
-612*g*t + 12*g - 4*t
Find the first derivative of x**4 + 416*x**3 - x - 7159 wrt x.
4*x**3 + 1248*x**2 - 1
Find the third derivative of 974*q**6 + q**2 + 1326*q wrt q.
116880*q**3
Find the third derivative of -6377*j**3 - 917*j**2 wrt j.
-38262
Find the third derivative of -4459*p**6 + 3446*p**2 wrt p.
-535080*p**3
Find the second derivative of 2*a**2*g**2*n**3*w + 16*a**2*g**2 + 16*a**2*g*n*w + a**2*g*w + a**2*n - 4*a*g*n**3 + 2*a*n**2 - 12*g**2*w wrt g.
4*a**2*n**3*w + 32*a**2 - 24*w
Differentiate 1574*s - 297 with respect to s.
1574
What is the third derivative of -3*b**3*g**4*m - 9*b**3*m - 10*b**2*m - b*g**2*m + 96*g**4*m wrt g?
-72*b**3*g*m + 2304*g*m
Find the second derivative of 473*d**4 + 2*d + 218 wrt d.
5676*d**2
What is the third derivative of 2*n**5*t - 32*n**4*t**2 + n**3 + 26*n**2*t**2 + 5*n*t**2 + 2*t**2 wrt n?
120*n**2*t - 768*n*t**2 + 6
What is the third derivative of -1809*p**6*q - 9*p**2*q + 11*p*q - q wrt p?
-217080*p**3*q
Find the first derivative of -19655*f*l**3 - l**3 - 165*l wrt f.
-19655*l**3
What is the derivative of j**2 + 11*j + 861?
2*j + 11
Find the third derivative of 22*d**3*t + 42*d**2*t + d**2 - d*t wrt d.
132*t
Find the second derivative of 24*d*t**3 + d*t + 9*d - 2*t**3 - t**2 wrt t.
144*d*t - 12*t - 2
Find the third derivative of -12332*h**5 - 5002*h**2.
-739920*h**2
Differentiate -p**2*r**3 + 6*p**2*r**2 + 2*p**2 + 540*r**3 with respect to p.
-2*p*r**3 + 12*p*r**2 + 4*p
What is the third derivative of 26*o**6 + 5*o**4*u - 2*o**3 - 3*o**2*u + o**2 + 19*u wrt o?
3120*o**3 + 120*o*u - 12
What is the first derivative of 525*m*z + z + 577 wrt m?
525*z
Find the third derivative of -133*y**3 + 5*y**2 - 2.
-798
Find the second derivative of -2*g**2*u**4 + 353*g**2*u**3 + 2*g**2 + 31*u wrt u.
-24*g**2*u**2 + 2118*g**2*u
What is the third derivative of -112*f**3*l**2 + 4*f**2 - l**2 wrt f?
-672*l**2
Differentiate 2*f**3*y**3 - 9296*f**3 - 3529*y**3 with respect to y.
6*f**3*y**2 - 10587*y**2
Differentiate -1452*w**4 + 6250.
-5808*w**3
What is the third derivative of 8472*y**4 + y**2 + 4190*y - 2?
203328*y
Find the first derivative of -28447*r + 11021 wrt r.
-28447
What is the third derivative of 99*c**6 - 5*c**4 - c**2 - 51*c + 2 wrt c?
11880*c**3 - 120*c
Find the third derivative of -7193*s**5 + s**3*t - s**2*t - 37*s*t + 224*s wrt s.
-431580*s**2 + 6*t
Find the third derivative of -7*a*c**3*l**3 - 36*a*l**2 - c**3 - 287*c*l**3 - 16*c*l**2 | {
"pile_set_name": "DM Mathematics"
} |
38365*c + 1676710 = 0. Calculate c.
-167671, -2
Solve 2*s**2 - 70312*s + 617972168 = 0.
17578
Determine p, given that -15*p**4 + 3198985*p**3 - 170557884005*p**2 - 56852983445*p = 0.
-1/3, 0, 106633
Factor 2*b**5/3 - 68*b**4 + 2256*b**3 - 27360*b**2 + 139104*b - 254016.
2*(b - 42)**2*(b - 6)**3/3
Factor y**2 + 13230*y + 43758225.
(y + 6615)**2
Suppose 2*k**5/5 + 18342*k**4/5 + 41971008*k**3/5 - 75757040*k**2 + 202180320*k - 168544800 = 0. Calculate k.
-4590, 2, 5
Suppose 5*d**5 - 925*d**4 - 10705*d**3 - 14835*d**2 + 26460*d = 0. Calculate d.
-9, -3, 0, 1, 196
What is t in 3*t**5/2 + 23*t**4/4 - 19*t**3 - 23*t**2/4 + 35*t/2 = 0?
-35/6, -1, 0, 1, 2
Factor 5*l**2 + 2530*l - 60835.
5*(l - 23)*(l + 529)
Factor -r**3/7 + 79*r**2/7 - 1826*r/7 + 10064/7.
-(r - 37)*(r - 34)*(r - 8)/7
Determine c, given that -5*c**2 + 2649720*c - 351050803920 = 0.
264972
Let 4*m**3 - 1120*m**2 - 10404*m = 0. What is m?
-9, 0, 289
Factor -7*d**2/4 - 5381*d/8 - 240.
-(d + 384)*(14*d + 5)/8
Solve -260*y**5 - 8740*y**4 - 59115*y**3 - 79115*y**2 - 31105*y - 2625 = 0.
-25, -7, -1, -1/2, -3/26
What is y in -4*y**4 - 13252*y**3 - 9847224*y**2 + 1914516352*y - 1904655872 = 0?
-1736, 1, 158
Factor -3*b**2 - 241413*b.
-3*b*(b + 80471)
Find z, given that z**2/5 - 1271*z/5 + 396204/5 = 0.
548, 723
Let 70*y**5 + 855*y**4 + 320*y**3 - 7530*y**2 - 8550*y - 1485 = 0. What is y?
-11, -3, -1, -3/14, 3
Suppose -4*y**5 - 26136*y**4 - 52256*y**3 = 0. What is y?
-6532, -2, 0
What is u in 2*u**2 - 273196*u - 273198 = 0?
-1, 136599
What is k in 4*k**4 + 210*k**3 - 770*k**2 + 780*k - 224 = 0?
-56, 1/2, 1, 2
Let -39*g**5/7 - 6645*g**4/7 + 4119*g**3/7 + 2565*g**2/7 = 0. What is g?
-171, -5/13, 0, 1
Let -5*m**2 + 10630*m + 139035 = 0. What is m?
-13, 2139
Factor 2*z**4 - 1554*z**3 - 9372*z**2 - 18776*z - 12528.
2*(z - 783)*(z + 2)**3
Suppose 3*s**2 - 2457*s - 124848 = 0. Calculate s.
-48, 867
Let b**2 + 42694*b + 455694409 = 0. Calculate b.
-21347
Determine y, given that -4*y**5 - 208*y**4 + 6128*y**3 - 29568*y**2 - 85248*y = 0.
-74, -2, 0, 12
Factor -5*g**4 - 26555*g**3 - 35271675*g**2 - 35245125*g.
-5*g*(g + 1)*(g + 2655)**2
Determine a, given that -2*a**4 - 170*a**3 + 41564*a**2 - 1650880*a + 11628288 = 0.
-206, 9, 56
Determine d so that -d**2/4 + 548431*d/2 - 300776561761/4 = 0.
548431
Factor 2*z**3/3 - 20710*z**2/3 + 124098*z - 558198.
2*(z - 10337)*(z - 9)**2/3
Find p, given that 4*p**5/5 - 37*p**4 + 1746*p**3/5 + 8711*p**2/5 + 7652*p/5 - 2484/5 = 0.
-2, 1/4, 23, 27
Find l such that -2*l**4/3 + 2*l**3 - 2*l**2 + 2*l/3 = 0.
0, 1
Determine q so that 15*q**5 - 2840*q**4 - 25420*q**3 - 63200*q**2 - 31680*q = 0.
-4, -2/3, 0, 198
Factor 4*o**2 - 708*o - 13192.
4*(o - 194)*(o + 17)
Factor q**3/3 - 5142*q**2 + 5141*q + 30850/3.
(q - 15425)*(q - 2)*(q + 1)/3
Determine k, given that 3*k**3/5 - 2229*k**2/5 - 93843*k/5 - 91611/5 = 0.
-39, -1, 783
Factor -2*l**2 + 5450*l + 215592.
-2*(l - 2764)*(l + 39)
Factor -2093045*v**2 + 232920*v - 6480.
-5*(647*v - 36)**2
Let 7*n**3/6 - 388*n**2 - 2342*n/3 = 0. Calculate n.
-2, 0, 2342/7
Suppose -g**5/4 + 50*g**4 - 1925*g**3/4 + 2375*g**2/2 = 0. Calculate g.
0, 5, 190
Suppose 5*t**3 - 590*t**2 + 3735*t + 16650 = 0. What is t?
-3, 10, 111
Factor 2*z**2/9 + 2364352*z/9 + 698770047488/9.
2*(z + 591088)**2/9
Let -2*u**5/11 + 116*u**4/11 + 1022*u**3/11 + 2224*u**2/11 + 120*u = 0. What is u?
-5, -2, -1, 0, 66
Factor i**4 - 70*i**3 + 1127*i**2 - 1058*i.
i*(i - 46)*(i - 23)*(i - 1)
Factor -d**2 + 36418*d - 331567681.
-(d - 18209)**2
Factor -4*u**2 - 2136*u - 169556.
-4*(u + 97)*(u + 437)
Factor -p**2/2 - 13967*p - 195077089/2.
-(p + 13967)**2/2
Suppose -3*z**3/2 - 445*z**2/2 + 2033*z - 1256 = 0. Calculate z.
-157, 2/3, 8
Solve -p**4/3 + 75226*p**3/3 - 471829943*p**2 + 28287232780*p/3 - 141398560900/3 = 0 for p.
10, 37603
Factor -4*t**2 - 285432*t - 570848.
-4*(t + 2)*(t + 71356)
Factor -31*k**3 - 2633*k**2 + 14120*k - 900.
-(k - 5)*(k + 90)*(31*k - 2)
Factor 5054*l**2 + 467248*l + 75595808/7.
2*(133*l + 6148)**2/7
Factor 4*s**3 + 244*s**2 + 3452*s - 3700.
4*(s - 1)*(s + 25)*(s + 37)
Factor -4*o**3 + 7760*o**2 + 78044*o - 85800.
-4*(o - 1950)*(o - 1)*(o + 11)
Find n such that 2*n**2/7 - 15426*n/7 + 13212 = 0.
6, 7707
Suppose -s**3/2 + 4601*s**2/2 = 0. Calculate s.
0, 4601
Suppose -y**4 + 114382*y**3 = 0. What is y?
0, 114382
Factor -g**2/4 + 2364*g.
-g*(g - 9456)/4
Let 2*r**4/3 - 197036*r**3/3 + 1617632718*r**2 + 788144*r/3 - 19411592648/3 = 0. What is r?
-2, 2, 49259
Suppose g**3/5 - 923*g**2 - 9249*g/5 + 13851 = 0. What is g?
-5, 3, 4617
Factor 4*t**3 - 4960*t**2 + 44316*t.
4*t*(t - 1231)*(t - 9)
Suppose 52*h**2/9 + 14902*h/3 - 44758/9 = 0. Calculate h.
-22379/26, 1
Let -u**3/4 - 2811*u**2/2 + 11247*u/4 - 1406 = 0. Calculate u.
-5624, 1
Let -3*g**3 + 515*g**2 - 3736*g - 5904 = 0. Calculate g.
-4/3, 9, 164
Factor t**4/9 - 32428*t**3/3 - 21619*t**2 - 97286*t/9.
t*(t - 97286)*(t + 1)**2/9
Factor 3*y**3/2 - 1653*y**2 - 6654*y + 19908.
3*(y - 1106)*(y - 2)*(y + 6)/2
Factor -5*d**2 - 20980*d - 22008020.
-5*(d + 2098)**2
Solve h**4/3 - 1407*h**3 - 124287*h**2 - 8334131*h/3 - 2655164 = 0.
-43, -1, 4308
Factor r**4 - 2288*r**3 + 4569*r**2 + 6858*r.
r*(r - 2286)*(r - 3)*(r + 1)
Let 8*u**3/11 + 58*u**2/11 - 6716*u/11 + 6650/11 = 0. What is u?
-133/4, 1, 25
Let -128*a**5/13 + 5152*a**4/13 - 36498*a**3/13 + 88862*a**2/13 - 73240*a/13 + 19200/13 = 0. Calculate a.
5/8, 3, 4, 32
Factor c**4/5 + 289*c**3/5 + 858*c**2/5.
c**2*(c + 3)*(c + 286)/5
Suppose -3*t**3/2 + 321*t**2/2 - 5733*t/2 - 20169/2 = 0. What is t?
-3, 27, 83
Determine o so that -32*o**4/7 - 3460*o**3/7 + 6576*o**2/7 - 2644*o/7 - 440/7 = 0.
-110, -1/8, 1
Determine d so that -3*d**2/7 - 6573*d - 46008/7 = 0.
-15336, -1
Suppose -2903*d**2 - 84183*d + 116 = 0. What is d?
-29, 4/2903
Determine p, given that 3*p**5/2 - 648*p**4 - 9213*p**3/2 - 1359*p**2 + 18402*p + 15804 = 0.
-6, -2, -1, 2, 439
Determine t so that 5*t**5 - 880*t**4 + 19365*t**3 + 20250*t**2 = 0.
-1, 0, 27, 150
Determine g, given that -2*g**4/11 - 48*g**3/11 - 312*g**2/11 - 448*g/11 = 0.
-14, -8, -2, 0
Factor -5*q**2 - 2520*q - 17395.
-5*(q + 7)*(q + 497)
Factor 2*v**2/7 - 2042800*v/7 + 521628980000/7.
2*(v - 510700)**2/7
Solve -2*q**2 - 252*q - 7546 = 0 for q.
-77, -49
Let 2*t**4/11 + 778*t**3/11 + 69420*t**2/11 - 1251592*t/11 - 2774672/11 = 0. What is t?
-202, -2, 17
Factor 2*l**3/5 - 1418*l**2/5 + 11248*l/5 - 22432/5.
2*(l - 701)*(l - 4)**2/5
Factor 2*v**2/7 - 92*v + 39674/7.
2*(v - 239)*(v - 83)/7
Let 2*x**3 + 341960*x**2 + 14617080200*x = 0. What is x?
-85490, 0
Find a such that 68*a**2/7 + 188072*a/7 - 44256/7 = 0.
-2766, 4/17
Solve -n**4 - 39*n**3 - 267*n**2 - 601*n - 372 = 0 for n.
-31, -4, -3, -1
Suppose -3*g**4 - 675*g**3 - 37623*g**2 + 39663*g + 76614 = 0. What is g?
-113, -1, 2
Factor -4*y**2 + 42712*y - 724948.
-4*(y - 10661)*(y - 17)
Solve 5*z**2 - 36280*z = 0 for z.
0, 7256
Let 2*k**5/7 + 4*k**4/7 - 26*k**3/7 + 20*k**2/7 = 0. Calculate k.
-5, 0, 1, 2
Suppose 5*u**4 - 35*u**3 - 2410*u**2 - 20820*u - 52200 = 0. Calculate u.
-10, -6, 29
Find k such that k**3/2 + 15507*k**2/2 - 93069*k/2 + 139617/2 = 0.
-15513, 3
Solve -6*w**4/7 - 250*w**3/7 - 272*w**2/7 + 4952*w/7 - 960 = 0 for w.
-40, -6, 2, 7/3
Let 828*h**5 + 588*h**4 - 2680*h**3 + 80*h**2 + 1952*h - 768 = 0. Calculate h.
-2, -24/23, 2/3, 1
Factor u**3/5 - 29*u**2/5 + 198*u/5.
u*(u - 18)*(u - 11)/5
What is h in h**3/6 + 598*h**2/3 + 179992*h/3 + 710432/3 = 0?
-596, -4
Factor 4*m**2 + 129476*m + 129472.
4*(m + 1)*(m + 32368)
Suppose 3*q**2/5 - 156231*q/5 + 468666/5 = 0. Calculate q.
3, 52074
Let -2*i**3/19 + 2900*i**2/19 + 2902*i/19 = 0. What is i?
-1, 0, 1451
Factor -t**2 - 113*t - 436.
-(t + 4)*(t + 109)
Factor 48*q**2 + 183*q - 231.
3*(q - 1)*(16*q + 77)
What is h in h**3 - 1476*h**2 + 2949*h - 1474 = 0?
1, 1474
Factor 3*t**3/8 - 12*t**2 + 699*t/8 + 399/4.
3*(t - 19)*(t - 14)*(t + 1)/8
Suppose -p**4/3 - 791*p**3/3 + 2383*p**2/3 + 791*p/3 - 794 = 0. Calculate p.
-794, -1, 1, 3
What is a in -12*a**5/5 - 1256*a**4/5 - 24372*a**3/5 - 55064*a**2/5 + 24384*a/5 + 11264 = 0?
-80, -22, -8/3, -1, 1
Find i such that -2*i**5 + 108*i**4 - 944*i**3 - 108*i**2 + 946*i = 0.
-1, 0, 1, 11, 43
Find r, given that -r**2 + 25433*r - 25432 = 0.
1, 25432
Factor 3*z**2/4 - 33207*z + 664065/4.
3*(z - 44271)*(z - 5)/4
Fac | {
"pile_set_name": "DM Mathematics"
} |
). What is the third biggest value in 3, v, -0.3?
-0.3
Let n = -0.24 + -0.06. Let a = n + 0.8. Let h = 0 + 0.4. What is the third biggest value in a, h, -2?
-2
Let o be 7/((-7)/2)*(-12)/64. Which is the second biggest value? (a) 1/6 (b) o (c) -4
a
Let c(s) = s**3 + 7*s**2 + 8*s + 8. Let b be c(-6). Let d = -6 - -5.9. Let p = 9 + -9. What is the second smallest value in d, p, b?
d
Let n = -0.4 + -0.1. Let i = -0.8 - -1.3. What is the third smallest value in n, i, 5?
5
Suppose 0*m = -3*t + 5*m - 14, t = -3*m. Which is the second smallest value? (a) 0.5 (b) 0 (c) t (d) -4/3
d
Suppose -8 - 4 = -2*u. Let t be (u/(-10))/(30/4). Let g = 3.9 - -0.1. What is the third smallest value in g, t, -2?
g
Let s = -9.4 - -9. What is the second biggest value in s, 0, -2/15?
-2/15
Let k = -6 - -3. Let t = k + -5. Let v be t/33 - (-1)/3. What is the third smallest value in -5, v, -2/7?
v
Let h = -0.32 + 0.72. Which is the second biggest value? (a) 0 (b) -0.06 (c) h (d) 0.3
d
Let y = -14 + 14.09. Which is the second biggest value? (a) -3/5 (b) 5 (c) y
c
Let j be 35/(-7) - 2*(-3 + 2). Which is the biggest value? (a) j (b) -3/2 (c) -4 (d) 3/7
d
Suppose 20*x = 9*x + 44. Which is the smallest value? (a) x (b) -0.1 (c) 1.8
b
Let n = -0.05 - 3.95. What is the third smallest value in n, 0.3, -2?
0.3
Let t = -2.344 + 0.044. Let q = -0.3 - t. What is the third smallest value in -1/3, 1/5, q?
q
Let p = -0.01 + 1.01. Let s = 0 + p. Which is the biggest value? (a) 0.4 (b) -1 (c) s
c
Let z = 1.03 - 0.03. Let s = -3 + 5. Let n = 7 - s. What is the third smallest value in 3, z, n?
n
Let r = 0.5 - -0.4. Let d = 0.85 + 0.15. Let o = r - d. Which is the third smallest value? (a) -1/8 (b) 0 (c) o
b
Suppose 0 = -2*t - t. Let n = 0.8 - 1.2. Which is the second biggest value? (a) t (b) -0.3 (c) n
b
Let m be 68/(-12) + (-10)/(-15). Which is the smallest value? (a) m (b) -0.2 (c) -0.4 (d) -0.3
a
Suppose -2*b + 2 = -2*j, -3*j = -4*b + 2*j. What is the third smallest value in b, 4, 2/7?
b
Let q be (2 + (-21)/10)/1. What is the third smallest value in 1/4, -6, q?
1/4
Let w be (-9929)/76 + 12/16. Let o = 130 + w. Which is the third biggest value? (a) -4 (b) o (c) 2/9
a
Let f be (-8)/120 - (-1)/5. Let i(h) = h + 4. Let z be i(-8). What is the third smallest value in -0.5, f, z?
f
Let f = 632/9 + -70. Which is the fourth biggest value? (a) 4 (b) f (c) -4/7 (d) -3/5
d
Let r = -552/7 + 79. Let m = -4.87 + -0.13. Let p = -8 - m. Which is the smallest value? (a) p (b) r (c) -2/5
a
Suppose 3*t = 4*y + 20, 0*y + 5 = -y. Let i = -11 - -2. Let s be 18/i*(-1)/17. Which is the second biggest value? (a) -1/5 (b) t (c) s
b
Let p be (26/8)/(-1) - -3. What is the second biggest value in -4, 5, p, 1?
1
Let d = -13 + 6. Let m be 4/14 - (-1)/d. What is the biggest value in 4, -0.2, m?
4
Let x = 5 + -6. Let i = 407 + -411.93. Let y = i + -0.07. Which is the biggest value? (a) y (b) x (c) 5
c
Let j = 0.09 - -0.01. Let w = -0.3 + j. What is the second smallest value in -0.5, 1/4, w?
w
Let k(z) = 21*z + 1. Let l be k(2). Let c = -85 + l. Let a be 6/10 - c/(-45). What is the second biggest value in 5, -2/17, a?
-2/17
Suppose 0 = -n + 4*h - 10, 3*n + 2 = -h - 2. Which is the biggest value? (a) n (b) -2/7 (c) -3
b
Let w be ((-32)/(-6) - 7) + 2/(-6). What is the third biggest value in 12, w, -3/5, 0.3?
-3/5
Suppose -r - 13 = -5*s + 15, r + 4*s = 17. Let u be (-12)/27*r/6. Let w = 0.1 + -0.2. What is the biggest value in u, -0.2, w?
u
Let v = 42 + -42.3. What is the smallest value in -6/11, v, -2/13?
-6/11
Let h = -0.478 - 0.022. What is the second smallest value in h, 1/3, -2/3?
h
Let i be (-2)/5 - 101/(-265). Let f = 155/212 - i. Let j be 4/2*2/16. Which is the smallest value? (a) j (b) f (c) 0.4
a
Suppose -3*a = -h - 2*a - 6, 2*a - 15 = 5*h. What is the second smallest value in -0.1, 2, h?
-0.1
Let p = 26 - 28. Which is the biggest value? (a) 5 (b) 2 (c) p
a
Let k = -0.01 + -0.39. Let q be ((-4)/(-3) - 2)/(-4). What is the third biggest value in q, k, -2?
-2
Let k be (5 - 1)/(-2) + 2. Let d = -1 - k. Let y = 22 - 25. Which is the second biggest value? (a) y (b) d (c) 3
b
Let p be (-2)/(-10)*-2*5. Let v = -6 - -5. What is the second biggest value in v, 4, p?
v
Let z be 3*10/45 - 0. Let s = -1 + 0.5. Let q = -0.3 - s. What is the second biggest value in q, z, -0.3?
q
Let f = 79/765 + 2/255. Which is the biggest value? (a) 0.8 (b) 3 (c) f
b
Let t = 0.26 + 0.14. What is the smallest value in -0.5, t, -4?
-4
Let o be -17*1 + -2 + 4. Let i be (-2)/6 + 4/o. Let l be (0 - 0)/(-2 - -4). Which is the second biggest value? (a) l (b) i (c) 0.5
a
Let y = -131.53 + 131. Let t = y - -0.5. Let w = -2.03 - t. Which is the third smallest value? (a) 3/8 (b) -0.5 (c) w
a
Suppose 2*u - 4*u - 6 = 0. Let j be 4*-2*(-1)/2. Which is the smallest value? (a) 3 (b) u (c) j
b
Let i = -3 - -1. Let o be (-3)/2 - (-3)/i. Let s = -2 - -2. What is the smallest value in 4, o, s?
o
Let q be ((-155)/39 + 4)*(4 - -2). What is the third smallest value in 0.5, -1, q?
0.5
Suppose 0 = -2*z - 2, 5*i + 19 = 4*i + 3*z. Let d be 8/i*(-1)/(-4). Which is the second smallest value? (a) -1/2 (b) 0.4 (c) d
c
Let k be (-2*2/(-12))/(-1). Let s = 5.26 - 0.06. Let y = 5 - s. What is the second smallest value in 4/3, k, y?
y
Let m be (-136)/(-84) + 4/(-3). What is the second biggest value in 4/7, -5, m?
m
Let t = -0.1 + -0.3. Let d = 10 + -5. Let v = -0.1 + 0.1. Which is the third biggest value? (a) v (b) t (c) d
b
Let g = 0.18 - -12.82. Let d = g + -12.9. Suppose -4*k + 10 = b, -3*k + 5*b + 13 = 3*b. What is the third smallest value in d, k, -5?
k
Let h be 6*(-112)/(-324) + -2. What is the third biggest value in h, -5, -2?
-5
Let g = 1.9 + -2. Let o = 0.33 - 0.53. Which is the third smallest value? (a) g (b) o (c) -4/7
a
Let t = 11.7 + -12. Which is the smallest value? (a) t (b) -17 (c) 2/7
b
Let u = 0 + -4. Let p be (-5)/(-20) - (-13)/u. Let j = -6/37 + 128/333. Which is the biggest value? (a) j (b) p (c) 3
c
Let h be (16/(-4))/(-20)*8/(-12). Which is the second biggest value? (a) 5 (b) h (c) -0.3 (d) 0.4
d
Let n = 208 - 206. Let p = -0.11 + -4.89. What is the smallest value in p, n, 1?
p
Suppose -4*c = 3*x + 513, -3*c - 322 = 5*x + 60. Let s = c + 513/4. What is the smallest value in s, 2/9, 0.1?
s
Let b = 0.63 + 1.37. What is the biggest value in 1, b, 8?
8
Let c(u) = 9*u**2 + 2*u - 1. Let w be c(-2). Let q = w + -218/7. Let f = -3 - -3.1. What is the biggest value in 2, q, f?
2
Let g = 4/15 + -31/60. Suppose 0 = 4*n - 6*n. What is the third smallest value in g, 5, n?
5
Let i = 48.4 - 48. What is the second smallest value in -1/7, i, -3?
-1/7
Suppose -3*z + z - 4 = 0. Let l be -2 + z + (-11)/(-3). Which is the biggest value? (a) -0.3 (b) l (c) 5
c
Let o = 3.2 - 3. Let g = -7.86 + -0.14. Let p = -7 - g. Which is the second biggest value? (a) o (b) -3 (c) p
a
Let u be ((-3)/(-8))/((-54)/24). What is the third smallest value in 3/7, -3, u, 5?
3/7
Let i be 4 + -5 - (-3)/7. Let q = 1.3 - 1. Let d = -0.1 + q. Which is the third biggest value? (a) 2/3 (b) d (c) i
c
Let r = -0.029 - 0.271. What is the smallest value in -5/3, 5, r, 1/5?
-5/3
Let r = -95199 - -11328833/119. Let f = -12/17 + r. Let b = 117 + -113. What is the third biggest value in f, b, 2?
f
Let p = 36 - 24. Let t = -1.4 - 5.6. Let a = p + t. What is the third smallest value in 0, a, -4?
a
Let a = 0.218 + 0.082. What is the second biggest value in 2, -1.2, a?
a
Let u = 6 + -6. Let b = 4 - u. Suppose 2*y = y. What is the second smallest value in 1/4, b, y?
1/4
Let x be (2/10)/((-6)/15). Let d = 39 - 42. What is the third biggest value in d, 2, x?
d
Let q = -0.03 - -0.11. Let v = -3.92 - q. Which is the biggest value? (a) -0.2 (b) -0.1 (c) v
b
Let y = -0.036 - -0.136. Which is the fourth biggest value? (a) 3 (b) y (c) 3/7 (d) -2/9
d
Suppose 1 = -2*x + 9. Which is the third biggest value? (a) x (b) 3 (c) 5
b
Suppose -11*d + 2*d = 36. Which is the second biggest value? (a) -2/15 (b) d (c) -1
c
Let n be (-1)/(-14)*2/(-1). Let j = -0.64 + 0.84. Which is the third smallest value? (a) 3/7 (b) n (c) j
a
Let d = -7 - -8. Let t = d + 5. Let n = t - 6.5. What is the smallest value in 0, 4, n?
n
Let l = | {
"pile_set_name": "DM Mathematics"
} |
+ m and give c.
2
Express (-d + 2*d**2 + d)*(0 + 6*d + 4*d + 1) as h*d**2 + g + a*d + s*d**3 and give h.
2
Rearrange o**2 + 3*o**2 - 2*o**2 - 1 + 11*o to the form t + x*o + g*o**2 and give x.
11
Express 15*w - 2*w**2 - 13*w + 3*w**3 - 4 - w**3 as h*w**2 + n*w + t + l*w**3 and give n.
2
Express v**3 - 2*v + 2*v + (-4 + 4 + 5*v**2)*(5*v + 5 - 5) as r + b*v + u*v**2 + h*v**3 and give r.
0
Express (-4*x - 2*x - 2*x)*(-1 + 0 + 3) as f + l*x and give l.
-16
Express 0*f - 3*f**2 - f + f**3 - f in the form b*f + h + m*f**2 + l*f**3 and give b.
-2
Rearrange -2*p**3 - 5 - 1 + 5*p**3 to i*p**2 + c*p + l*p**3 + d and give d.
-6
Rearrange -3*k + 0*k - 2*k + (0 + 1 - 2)*(2*k + 0 + 0) + (0 - 3 + 5)*(2*k + 2*k - 3*k) to d + o*k and give o.
-5
Rearrange (-1 + 1 - 1)*(-3*v + 160 + 5*v - 157) to t + f*v and give t.
-3
Express -159*n - 9 + 11 + 97*n + (-5*n + 6*n + 0*n)*(-2 + 1 + 2) as a + z*n and give z.
-61
Rearrange -1 + g + 1 + (1 + 1 - 1)*(2 - 1 + 0)*(-2*g - 6*g + 3*g) to p*g + r and give r.
0
Express 3*g**4 + 0*g**4 - 7*g**4 + (g - 4*g**2 + 3*g**2 + g)*(2*g**2 - 7 + 7) as a*g**3 + o + w*g + f*g**2 + t*g**4 and give a.
4
Rearrange -3*h**3 - 4*h**3 + 3*h**3 + 2*h**3 - 2*h**2 to r + f*h**2 + w*h + g*h**3 and give g.
-2
Rearrange -378*f**3 + 377*f**3 - 7*f - 9*f to the form y*f**3 + d*f + o + v*f**2 and give y.
-1
Rearrange -44*h - h - 101*h to the form a*h + j and give a.
-146
Express (-d**3 + d**3 + d**3)*(-d - d + d) + 2*d - d**4 + 0*d + 2 + 0*d**4 as n*d + a*d**2 + i*d**4 + h + b*d**3 and give i.
-2
Express -7 - 5 + 12 + 27*v in the form d + j*v and give j.
27
Express -v**4 + 1 - 5*v + 15*v + 9*v - 2*v in the form g*v**2 + s*v**3 + p*v + u + l*v**4 and give u.
1
Express r**2 - 8*r**3 - r**2 + 7*r**3 - 12*r as l*r**3 + a*r + c*r**2 + k and give c.
0
Express (2*a**2 - a**2 + a**2)*(-3 - 9*a + 3) + (0*a + 3*a - a)*(2*a - 2*a - a**2) in the form r*a + v + g*a**2 + t*a**3 and give t.
-20
Rearrange -2*z**3 + 17 - 8*z**3 - 14 to i*z**3 + p + c*z**2 + g*z and give i.
-10
Rearrange 6*d - 3*d**2 + d**2 - 15 - 6*d to g*d + l + k*d**2 and give k.
-2
Express 0*a**2 - 166*a**3 + 0*a**2 + 167*a**3 - 3*a as w*a**2 + s*a**3 + x + p*a and give p.
-3
Express -3*x - 3*x + 29*x as z + r*x and give r.
23
Rearrange 7*q - q**3 - 7*q + (-2*q**2 + q**2 + 0*q**2)*(-q - 2*q + 5*q) + 2*q - 2*q - 4*q**3 to the form u*q**2 + s*q + b*q**3 + z and give b.
-7
Rearrange (-10 + 1 + 3)*(3*f + 3*f - 4*f + (2 - 1 + 2)*(-f + 2*f - 2*f)) to q*f + w and give q.
6
Rearrange (-2*m - 10*m - 3*m)*(5 - 2 - 2)*(2 + m - 2)*(0*m + 2*m**2 + 0*m) to the form g*m + j*m**3 + n*m**4 + q*m**2 + z and give n.
-30
Rearrange 23*z + 4*z - z to v*z + u and give v.
26
Express -4*z + 4*z + 26*z**2 - 7*z**2 - z in the form w*z + x + p*z**2 and give p.
19
Rearrange (-65 + 13*f + 65)*(-1 - 2 + 0 + (2 + 0 - 1)*(1 + 0 + 5)) to the form q*f + o and give o.
0
Rearrange -101*w**2 + 2*w**3 + 6 - 3*w + 101*w**2 to the form a + i*w**3 + d*w + l*w**2 and give d.
-3
Express (-z - 19*z - 3*z)*(-2*z - z + 4*z)*(-2*z + z**2 + 2*z) in the form w + r*z**3 + b*z**4 + g*z**2 + a*z and give b.
-23
Express -o - 2*o**3 + 3*o**2 + 3*o**3 - 6*o**4 + 4*o**4 as c*o**3 + w*o**4 + j*o + r + l*o**2 and give j.
-1
Rearrange -4*p - 10*p**3 - 2*p + 2*p**4 + p**4 + 8*p**3 to l + o*p**3 + s*p**4 + x*p + b*p**2 and give s.
3
Rearrange (3*y - 3*y + 2*y**3)*(-3*y - 7*y + 6*y)*(-2 + 1 + 4) to the form c*y**4 + v + q*y + k*y**2 + j*y**3 and give c.
-24
Express 2*w + 2 - 32*w**2 - 3 - 5*w**3 + 65*w**2 - 32*w**2 as y + j*w + p*w**3 + v*w**2 and give y.
-1
Express -6 - 3*v**2 + 4*v**2 + 8*v**2 + 7 in the form n*v + b*v**2 + g and give g.
1
Express 2*t**2 + 5*t**4 - 10 - 4*t**4 - 3*t**2 as d*t**3 + r*t**4 + s*t**2 + l + m*t and give s.
-1
Rearrange 39 - s + 36 - 116 + 44 to the form o + a*s and give o.
3
Express b**3 - 2*b + 0 + 3*b + 0*b**3 + 1 - 3*b**4 in the form x*b**3 + i*b**4 + m + q*b + h*b**2 and give i.
-3
Rearrange -c - 99*c**4 + 0*c**3 - c**3 + 101*c**4 to z*c**3 + v*c + r*c**4 + p + g*c**2 and give r.
2
Rearrange -3*o**2 + 6*o**2 - 11 + 11 + 2*o to t*o + i + j*o**2 and give j.
3
Rearrange -r**3 + 7 + 24*r - 24*r to a + n*r + j*r**3 + b*r**2 and give a.
7
Express 12 - 2*q - 10 - 2*q**3 - 4*q in the form k*q**2 + l*q + g*q**3 + z and give k.
0
Express -2*k**2 + 5*k - k**3 - 4*k**4 - 5*k + 2*k**3 - 2*k as g + y*k + c*k**3 + t*k**4 + r*k**2 and give r.
-2
Rearrange 2 - 33*a**2 - 6*a**2 - 23*a**2 + 3*a**2 to d + s*a**2 + t*a and give d.
2
Express (-2*n + n + 2*n)*(2 - 2 - 1) + 9*n - 20*n + 13*n - 7 in the form p + m*n and give p.
-7
Express -3*y**2 - 5 + 6 + y**2 + 3*y**2 + 0*y**2 - y**2 + 2*y**2 + 5*y**2 - 4*y**2 + (-2*y**2 + 2*y**2 + y**2)*(6 - 3 - 1) as q*y**2 + x*y + p and give q.
5
Express 6*c - c + 12*c in the form w + h*c and give h.
17
Express -2*i**2 - 2*i**3 + i**2 + i**4 + 4*i + i**4 in the form r*i**4 + l*i**2 + h*i**3 + m*i + p and give h.
-2
Express -7*m**3 + m**4 - 3*m**4 - 3*m - 49*m**2 + 47*m**2 + m as c*m**3 + h*m**2 + v + o*m + y*m**4 and give o.
-2
Rearrange -2 + 66*m**4 - 63*m**4 + 6*m + m**3 - 5*m to w*m**4 + i*m + f*m**2 + h + c*m**3 and give w.
3
Rearrange 7*z**4 - 6*z**4 + 5 - z**2 + 2*z**3 - 3 to m*z**3 + p + v*z + y*z**4 + r*z**2 and give p.
2
Express -1295*k - 1 + 1 + 1219*k in the form d + n*k and give n.
-76
Express -i + 3*i + 0*i + i + 3*i - 3*i + (3 - 3 + 4)*(-1 - 2*i + 1) + (-2*i - 2*i + 3*i)*(1 + 0 + 1) in the form o + m*i and give m.
-7
Rearrange 1 - 11*d**2 + 0 - 3 + 8*d**2 to the form y + o*d + v*d**2 and give y.
-2
Express 6*x + 8 - 3*x - 14 + 2*x**3 as l*x**3 + m + y*x + i*x**2 and give m.
-6
Rearrange -3*v**2 + v**3 + 6*v**3 - 2*v**3 to the form j*v**2 + u + p*v**3 + t*v and give j.
-3
Rearrange (-4*q**2 - q**2 - 17*q**2)*(-3 + 0 + 1) + 3*q**2 - 2*q**2 - 2*q**2 to t*q**2 + k + o*q and give t.
43
Rearrange -b - 4*b**3 - 19*b**3 + 1 + b**2 + 2*b to the form v*b**2 + h*b**3 + u + o*b and give o.
1
Express -17*m + 58*m + 32*m as r + t*m and give t.
73
Express 0*d - 3*d + 3*d**2 - 13*d**3 - 10*d**3 + 25*d**3 as o*d + x*d**2 + b + r*d**3 and give o.
-3
Express z + 6*z + 5*z as t*z + h and give t.
12
Express -10 - 13372*k - 4*k**2 + 32 + 13372*k as y + o*k**2 + t*k and give o.
-4
Express -9*a**2 - 8*a**4 + 2 + 7*a**4 + 10*a**2 - a**3 in the form y + x*a**3 + b*a**2 + h*a**4 + i*a and give b.
1
Express 0*h**3 - 4*h**3 + 0*h**3 + (h**2 + 3*h**2 - 3*h**2)*(3*h + 0*h - 7*h + (3 - 1 - 3)*(2*h - 5*h + 4*h)) as v*h**2 + p*h**3 + s*h + y and give p.
-9
Rearrange (-1 + 1 + k)*(6 + 5 - 6) - 24 + 41*k + 24 - 109*k to z + y*k and give y.
-63
Express 2*a - a + a + (0*a - 3*a + 2*a)*(2 - 3 - 1) + 11*a - 7*a + 54*a in the form w*a + x and give w.
62
Express -5*u - 3 + u**2 - 8*u + 3 as s + h*u + p*u**2 and give p.
1
Express (-2*k**4 + 2*k**4 + 2*k**4)*(213 - 812 + 439) + k**4 + 2*k**2 - 2*k**2 as d*k**3 + s*k**4 + o*k + f + g*k**2 and give s.
-319
Rearrange -13*c + 0 + 23*c + 0 to the form i + r*c and give r.
10
Rearrange (-4839 + v**2 + 4840 - 5*v + 0*v**2)*(5*v + 0*v - 3*v) to z*v**3 + o + f*v + x*v**2 and give f.
2
Rearrange -23*m + 255 + 263 - 518 - 2*m**2 to the form h*m + p + z*m**2 and give z.
-2
Rearrange -23*u**2 + 44 - 27*u**2 + 48*u**2 to s*u + b + m*u**2 and give b.
44
Express -140 + 140 - 10*r + 3*r as j + p*r and give p.
-7
Express -78*t - 31*t - 16*t as x*t + w and give x.
-125
Express 26*q - q + 20*q in the form c*q + r and give r.
0
Express -15*z**3 - 2*z**3 - 4*z + 3*z + 0*z in the form m + k*z**2 + l*z + r*z**3 and give l.
-1
Express -1 + 1 - c**2 + (c - 8*c - 2*c)*(c - 5*c + 3*c) as o*c**2 + p + q*c and give o.
8
Express (-6*n**2 + 4*n**2 + 4*n**2)*(0 + 1 - 2)*(-45 - 5 + 5) in the form f + r*n**2 + x*n and give r.
90
Rearrange (85*f**2 + 50*f**2 - 84*f**2)*(2*f - 4 + 4) to b*f**2 + j*f + g + v*f**3 and give v.
102
Express -7*x**3 - 3*x**2 + 2*x**2 + 0*x**2 - 1 in the form p*x**2 + v + g*x**3 + b*x and give g.
-7
Express -10 + 11 + 31*h - 6*h as k*h + y and give k.
25
Rearrange (-2*u**4 + u**2 + 5*u - 7*u + 4*u**2)*(4 - 3 - 3) to a*u**4 + t*u + m + w*u**3 + g*u**2 and give a.
4
Rearrange 30*i - 30*i - 2*i**2 + 14 to the form t*i + n + d*i**2 and give d.
-2
Express (-14 - 15 + 22)*(2*r**2 + 0*r**2 - 3*r**2 + (4*r - 2*r + r)*(6*r - 2*r - 3*r)) in the form w*r + v + k*r**2 and give k.
-14
Express (w + w + w)*(-6 + 2 | {
"pile_set_name": "DM Mathematics"
} |
12. Calculate m*i(u) + 3*k(u).
8*u**3
Let c(b) be the third derivative of 0*b - 7/24*b**4 + 0 - 196*b**2 + 0*b**3 + 1/15*b**5. Let h(v) = 4*v**2 - 6*v. Calculate -6*c(a) + 7*h(a).
4*a**2
Suppose -16 = -4*m, -k - 6 - 7 = -3*m. Suppose -2*h + 4 = 4*y, -y - 12*h - 14 = 31. Let o(w) = w. Let l(u) = 4*u + 2. What is k*l(b) + y*o(b)?
-b - 2
Suppose -2*t - 36 = 2*t. Let g be ((-3)/t)/(2*4/72). Let j(y) = y**2 + 3*y - 4. Let p(r) = -r**2 - 4*r + 5. Determine g*p(l) + 4*j(l).
l**2 - 1
Let f(x) = -2*x**3 - 17*x**2 - 2. Suppose 54*u - 394 = 5*u + 145. Let m(w) be the first derivative of -w**4/4 - 3*w**3 - w + 1. Calculate u*m(s) - 6*f(s).
s**3 + 3*s**2 + 1
Let w(b) = -11*b. Let u be -10*(13 - 14) - -3. Let c(o) = -7*o - 13*o - 3*o. Calculate u*w(l) - 6*c(l).
-5*l
Let m(s) = -25719*s**2 - 54. Let b(k) = -3674*k**2 - 8. Calculate 27*b(c) - 4*m(c).
3678*c**2
Let n(a) = 4*a + 17. Suppose 69*g - 76*g = 119*g - 630. Let m(v) = 3*v + 16. Calculate g*n(y) - 6*m(y).
2*y - 11
Let i(t) = 71*t**3 - 13*t**2 - 9*t - 13. Let n(b) = 76*b**3 - 15*b**2 - 11*b - 15. Determine 6*i(k) - 5*n(k).
46*k**3 - 3*k**2 + k - 3
Let i(x) = -5*x**2 + 15*x + 2. Let h(r) = 3*r**2 - 19*r - 3. Give 2*h(z) + 3*i(z).
-9*z**2 + 7*z
Let j(k) = 21*k**3 + 13*k**2 - 36*k + 17. Let f(b) = 7*b**3 + 5*b**2 - 13*b + 6. What is -11*f(u) + 4*j(u)?
7*u**3 - 3*u**2 - u + 2
Let n(k) = -6*k**3 - 403*k - 2. Let o(y) = -34*y**3 - 2013*y - 11. What is -11*n(m) + 2*o(m)?
-2*m**3 + 407*m
Let x(z) = z**2 + 11*z + 4. Let g be x(5). Let p be g*(4 + 38/(-8)). Let b(f) = -9*f**2 - 21*f - 21. Let u(d) = d**2 + 2*d + 2. What is p*u(m) - 6*b(m)?
-9*m**2
Let r(p) be the third derivative of -p**6/120 + p**5/60 + p**4/12 + 5*p**3/6 - 6*p**2 - 9*p. Let d(h) = h**3 - 3*h - 5. Calculate -2*d(n) - 3*r(n).
n**3 - 3*n**2 - 5
Let j(i) = -i**3 + 7*i**2 + 11*i + 72. Let w be j(9). Suppose 0 = -h - 4*n + w, -n = n - 8. Let r(d) = -6*d + 7. Let o(l) = -3*l + 4. What is h*o(b) + 4*r(b)?
-3*b
Let f(z) be the second derivative of z**3/6 + 2098*z. Let y(r) = -17*r - 1. Give 6*f(w) + y(w).
-11*w - 1
Let v(j) = -8*j - 2. Let r(d) be the third derivative of 0 - 17/24*d**4 + d + 39*d**2 - 5/6*d**3. Give -2*r(b) + 5*v(b).
-6*b
Suppose 5*m - 7 = 2*d, -m = -d + 3*d - 11. Let j(q) = -5*q + 3*q - q**2 + 4*q**m + 0*q - q**2. Let c = -941 + 936. Let b(t) = t**3. Calculate c*b(h) + j(h).
-h**3 - 2*h**2 - 2*h
Let i(f) = -3182*f**3 - 4*f**2 + 24. Let d(u) = -3183*u**3 - 3*u**2 + 18. Calculate -4*d(k) + 3*i(k).
3186*k**3
Let b(a) = -65*a**2 - 2*a + 23. Let l(z) = -32*z**2 - z + 10. Calculate -2*b(c) + 5*l(c).
-30*c**2 - c + 4
Let w(b) = b - 10. Let h(f) = f - 2524. Determine h(g) + w(g).
2*g - 2534
Let m(y) = 5*y**3 - 2*y - 1. Let d(l) = -11*l**3 + l**2 + 4*l + 2. Suppose 920 + 67 = -141*a. Calculate a*m(o) - 3*d(o).
-2*o**3 - 3*o**2 + 2*o + 1
Let a(w) = -w. Let b(x) = x**2 + 33*x + 202. Let k be b(-25). Let d(h) = 23*h + 29*h + h**2 - 53*h - 2*h**k. What is -2*a(y) + d(y)?
-y**2 + y
Let f(l) = -5*l**2 + 15*l + 8*l - 16 - 7*l - 9*l**2 + 0*l. Let t(x) = 2 + 3*x**2 - 3*x + 4 - 3. What is -3*f(z) - 16*t(z)?
-6*z**2
Let x(b) = 2*b + 4. Let d be x(3). Let u = d - 0. Let j(k) = -9*k**3 - 10*k**3 + 1 + 28*k**3 - k - u*k**3. Let i(c) = -8*c**3 - 8*c + 6. Give i(h) - 6*j(h).
-2*h**3 - 2*h
Let j(x) = 9*x**2 - 2*x - 2. Let h = 227 + -243. Let b(f) = -f**3 - 15*f**2 + 18*f + 19. Let o be b(h). Let s(l) = -4*l**2 + l + 1. Calculate o*s(g) - 6*j(g).
-2*g**2 - g - 1
Let x(c) = 30*c**2 + c - 311. Let z(y) = -7*y**2 + 78. What is -2*x(r) - 9*z(r)?
3*r**2 - 2*r - 80
Let q(x) = -4*x**2 + 3. Let z be ((-10)/(-10))/(7/2 - 3). Let h(n) = -n**2 - 11 + 26*n**z - 9*n**2. Give -6*h(r) - 22*q(r).
-8*r**2
Let d(i) = -9*i**2 - 4*i + 9. Let w(r) = -8*r**2 - 4*r + 5. Let u(n) = 2*d(n) - 3*w(n). Let m(f) = 7*f**2 + 5*f + 3. What is -4*m(x) + 5*u(x)?
2*x**2 + 3
Let x(b) = 5*b**2 - 4*b + 2. Let q(n) = n**2 + 66 - 110 + 45 - n. Determine -3*q(v) + x(v).
2*v**2 - v - 1
Let h(w) be the first derivative of -w**4/4 - w**2/2 + 1. Suppose 200*m - 6994 = -6194. Let t(x) = -x**2 + 4*x - 2. Give m*h(c) + t(c).
-4*c**3 - c**2 - 2
Let i(q) = -2*q**2 - 2*q + 34. Let s(h) = 5*h**2 - 50*h - 99. Let m(j) = -3*i(j) - s(j). Let l(k) = k**2 + k - 1. Determine -3*l(c) + m(c).
-2*c**2 + 53*c
Let c = -434 + 474. Suppose 9*x + c = 19*x. Let f(r) = 5*r + 2. Let b(d) = d. Determine x*b(z) - f(z).
-z - 2
Let i(h) = -22*h + 15 - 1 + 28*h. Let g(d) be the first derivative of -3 - 4*d**2 + 4 + 6*d**2 + 4 + 9*d. Give -8*g(p) + 5*i(p).
-2*p - 2
Let y(x) = -2284*x**2 - 6*x + 2 + 2276*x**2 + 0*x. Let o(a) = -17*a**2 - 13*a + 5. Give -4*o(s) + 9*y(s).
-4*s**2 - 2*s - 2
Let r(x) = -x**3 - x**2 + 1. Let y(f) = 37008394*f - 37008394*f + f**3 + 3*f**2 + 5. Calculate 2*r(a) + y(a).
-a**3 + a**2 + 7
Let r(c) = -17*c + 841. Let k(s) = -14*s + 683. Let x(j) = 16*k(j) - 13*r(j). Suppose 0 = 3*p + 2 + 7. Let o(g) = -2*g - 4. Determine p*x(i) + 4*o(i).
i - 1
Let r(m) = 10*m + 5. Suppose 4*f - 26 = -2*u, -4*f + 7*u = 11*u - 24. Let g(v) = 19*v + 9. Determine f*r(x) - 4*g(x).
-6*x - 1
Let f(v) = 2*v**3 - 5*v. Let o(q) be the first derivative of 3*q**5/20 - q**3 - 98*q - 102. Let r(l) be the first derivative of o(l). Give 6*f(d) - 5*r(d).
-3*d**3
Let u(z) = -7*z + 5695. Let t(p) = -11*p + 8542. Determine -5*t(l) + 8*u(l).
-l + 2850
Let k(x) = -3*x - 64. Let r(v) = v - 4. Give k(o) + 2*r(o).
-o - 72
Let u(h) = h**3 + 37*h**2 - 35*h + 119. Let p be u(-38). Let n(r) = 8*r + 1. Let k(y) = 5*y + 1. What is p*n(v) - 7*k(v)?
5*v - 2
Suppose 3*w - 42 = -3*r, -3*r - w - 22 = -6*r. Let z be (2 + 28/(-8))*(-42)/r. Let k(g) = g + 5. Let i(t) = -2*t - 11. Determine z*k(o) + 3*i(o).
o + 2
Let b(i) = 13*i + 91. Let w(v) = 110*v + 726. What is 34*b(d) - 4*w(d)?
2*d + 190
Let w(q) = 25*q + 135. Let y be w(4). Let r(f) = y + f + 0*f - 233 + 2*f. Let o(n) = 3 + n + 6*n - 3*n. Give 2*o(l) - 3*r(l).
-l
Let w(s) = -52*s + 17. Let b(q) = -103*q + 33. Let i(y) = -3*b(y) + 7*w(y). Suppose 7 + 35 = 6*f. Let c(z) = -5*z - 3 + 6*z + f*z. Determine -20*c(v) - 3*i(v).
5*v
Let f(k) be the second derivative of -7*k**5/20 + k**4/3 + 5*k**3/6 + 3*k**2/2 - 112*k - 1. Let m(j) = 4*j**3 - 2*j**2 - 2*j - 1. Determine 2*f(t) + 5*m(t).
6*t**3 - 2*t**2 + 1
Let m(c) = 6*c**3 - 4*c**2 + 5*c - 4. Let d be (-66)/1155 - (-309)/(-105). Let x(t) = -5*t**3 + 3*t**2 - 5*t + 3. Give d*m(n) - 4*x(n).
2*n**3 + 5*n
Let h(j) = 1 - 3 + 32*j - 12*j - 10*j + 5*j. Let m(x) = -x. What is -h(d) - 6*m(d)?
-9*d + 2
Let v(a) = 2*a + 4. Let d(r) = 4*r + 9. Let b = 10 + -87. Let m = b + 74. Let k be (-1 - 6/m)*-5. Calculate k*v(w) + 2*d(w).
-2*w - 2
Let c(j) = -j**2 + 5*j - 7. Let i = -6 + 9. Let o(s) = i*s + 4*s - 8*s - 3 + 3*s. Suppose -d + 9 = -2*a, 7 + 5 = 4*d. Give a*c(p) + 7*o(p).
3*p**2 - p
Let c(g) = -g**2 + 316*g - 23. Let x(h) = 6*h**2 - 2216*h + 164. Determine -20*c(q) - 3*x(q).
2*q**2 + 328*q - 32
Let f(w) = -2*w**2 + 11*w + 1. Let o = 29 + -23. Let h be -5*(-8)/50*15/o. Let c(b) = -133*b + 138*b - 2*b**h + b**2. What is -5*c(z) + 2*f(z)?
z**2 - 3*z + 2
Let p(u) = 1. Let g(b) be the first derivative of -b**2 - 7*b - 1. Let k be 70/(26 - 12) - 6. Give k*g(v) - 5*p(v).
2*v + 2
Let p(z) = -299*z + 252. Let g(l) = 596*l - 465. Determine 6*g(a) + 11*p(a).
287*a - 18
Let g(f) = 4*f + 50. Let n(i) = 3*i + 30. Determine 5*g(m) - 7*n(m).
-m + 40
Let d(o) = 513*o**3 + 4*o**2 + 36*o - 1. Let r(q) = 1538*q**3 + 11*q**2 + 99*q - 3. Give 22*d(k) - 8*r(k).
-1018*k**3 + 2
Let s(f) = -3*f**2 - 4*f + 17. Let z(p) = -4*p**2 - 5*p + 17. Determine 6*s(b) - 5*z(b).
2*b**2 + b + 17
Let n(r) = -r**2 - 14*r - 1. Let v(w) = 2280*w**2 + 588*w + 42. Calculate 168*n(f) + 4*v(f).
8952*f**2
Let a(u) = -2*u**3 + u**2 - 6*u - 1. Let j(i) = -4*i**3 + 45*i**2 + 3*i - 3. Determine 3*a(r) - j(r).
-2*r**3 - 42*r**2 - 21*r
Let x(w) = -13*w**3 + 10*w**2 - 7*w + 2. Let z(o) = 39*o**3 - 35*o**2 + 22*o - 7. What is -7*x(a) - 2*z(a)?
13*a**3 + 5*a
Let a(k) = 4439*k**2 - 35*k + 5. Let r(c) = 7890322*c**2 - 62216*c + 8888. Give -8888*a(t) + 5*r(t).
-2222*t**2
Suppose -13*v = 2*u - 8*v + 11, 4*v = -12. Let h(w) = -9*w. Let l(j) = -j + 6*j - 2*j. Calculate u*h(a) + 7*l(a).
3*a
Let t(i) = 56*i**2 - 10*i + 874. Let x(n) = 131*n**2 - 21*n + 1750. What is -7*t(y) + 3*x(y)?
y**2 + 7*y - 868
Let m(h) = -110*h**3 + 129*h**2 + 37*h - | {
"pile_set_name": "DM Mathematics"
} |
5 = 5*o - 14425, -2*z = -4*o + 10248. What are the prime factors of o?
2, 3, 7, 61
Let l = -209 - -432. List the prime factors of l.
223
Suppose 5*b = -6*w + w - 75, b - 2*w = 0. Let c(z) = z**2 + 9*z - 8. Let k be c(b). Suppose k*a = -a + 30. What are the prime factors of a?
2, 5
Suppose 0 = -3*v - 8*v + 781. Suppose -64*t = -v*t + 203. What are the prime factors of t?
29
List the prime factors of -9 - (-8 + 1 + -581).
3, 193
Suppose 0*b = 3*b - 5*m - 320, 0 = -5*b + 3*m + 560. Suppose -b = -10*v + 5*v. Suppose -4*p - 2*j + 26 = -84, 0 = -p + j + v. List the prime factors of p.
2, 13
Let s(n) = n**2 - 7*n + 4. Let x be s(5). Let q = 24 + x. What are the prime factors of q?
2, 3
Suppose 3*g = -3*n + 12, 5*n - 2 + 7 = 0. Let b(d) = d**3 - 4*d**2 - 4*d - 5. Let w be b(g). Suppose -4 = m, w*t - 5*m - 4 = 2*t. List the prime factors of t.
2
Let a = 194 + -124. Let p = a - 59. What are the prime factors of p?
11
Let y(n) = 7*n**2 - 66*n + 27. List the prime factors of y(15).
2, 3, 17
Let x be 2/(2/1)*-14. Let c = 38 + x. Suppose 4*p - 4*s - c = 0, 0 = -2*p + s - 6*s + 26. List the prime factors of p.
2
Suppose 2*k - 8*y - 141 = -3*y, 4*y + 4 = 0. Suppose 5*i = -p + 64, k = i + 4*i - 3*p. What are the prime factors of i?
13
Let v(m) = 7*m - 19. Let k be v(14). Let q = 80 + k. Suppose -9*t + q = -6*t. List the prime factors of t.
53
Let v = 1069 + 119. What are the prime factors of v?
2, 3, 11
Let j(b) = 56*b + 533. What are the prime factors of j(10)?
1093
Suppose 0 = 5*v - 5 - 5. Suppose 6*h = v*h + 408. What are the prime factors of h?
2, 3, 17
Suppose 3*y = 5 + 52. Let g be (3 - 3 - -3) + y. Let w = g - 8. What are the prime factors of w?
2, 7
Suppose -6*g = -3650 - 2032. List the prime factors of g.
947
Suppose 4*x = 3*c + 26, -2*c = 7*x - 4*x - 11. Suppose 4*d - d = u + 28, -u = x*d + 60. What are the prime factors of -3 - (u + -2)/3?
11
Suppose 95*q - 91*q = 3472. What are the prime factors of q?
2, 7, 31
Let y(b) = -2*b - 18. Let a be y(-10). Suppose -4*h + 468 = a*h. List the prime factors of h.
2, 3, 13
Let z = 14 + -11. Suppose 3*f = z + 12. Suppose -68 = -2*m + n, m + 128 = f*m - 4*n. List the prime factors of m.
2, 3
Let a(y) = 1. Let p(h) = -h**2 + 9*h + 6. Let j(l) = 2*a(l) - p(l). Let k be j(9). What are the prime factors of (-2)/((-24)/(-33))*k?
11
Suppose 0 = 3*r, 4*r + 4770 = 3*q - 0*r. List the prime factors of q.
2, 3, 5, 53
Suppose -6*i + i = -0*i. Suppose i = -2*h + 145 - 43. List the prime factors of h.
3, 17
Let d(o) = 4*o + 4. Let i be d(2). What are the prime factors of i + 9/((-9)/(-2))?
2, 7
Let z = -6 + 6. Suppose z = -l + 2*l - 3. Suppose l*j + j - 52 = -2*v, -52 = -4*j - v. What are the prime factors of j?
13
Suppose 0 = r + 4*b - 3*b - 3, 2*r - 1 = -b. Let i be 0 + (0 - 2)/r. Suppose p - 17 = i. List the prime factors of p.
2, 3
Suppose 3*h - 6*h = -15. Suppose 15 = h*x, 0 = -4*q + 3*x + 925 - 102. List the prime factors of q.
2, 13
Suppose 2*p - 1936 = -3*p - 4*n, -780 = -2*p + 4*n. List the prime factors of p.
2, 97
Let v(w) = 9*w + 27. Let u = 55 - 48. What are the prime factors of v(u)?
2, 3, 5
Let t(s) = 81*s + 3. Let m(b) = 163*b + 8. Let c(a) = -3*m(a) + 5*t(a). What are the prime factors of c(-2)?
3, 53
Suppose -6 = 37*c - 38*c. List the prime factors of (-25 - c)/((-3)/6).
2, 31
Suppose -272*q = -268*q - 2744. What are the prime factors of q?
2, 7
Let g = 29 + -23. Suppose -s - 155 = -g*s. What are the prime factors of s?
31
Let w(z) be the first derivative of -1/3*z**3 - 7/2*z**2 - 3 + 9*z. What are the prime factors of w(-7)?
3
Let d(q) = q**2 - 3*q - 10. Let v be d(5). Suppose v = -5*a - 15, 2*b + 0*b + 3*a = -9. List the prime factors of b + (-2)/(-1) - -6.
2
Suppose 3*h - 2*x + 1498 = 5*h, -3*x = 9. Suppose -6*w - 110 + h = 0. List the prime factors of w.
107
Let y be (-35 + 35)/(1 + -1 - 1). Suppose -5*l = -4*g + 656, 3*g + y*g - 2*l - 499 = 0. List the prime factors of g.
13
Let h = 61 + -6. List the prime factors of h.
5, 11
Suppose 0 = -4*g - 43 - 17. What are the prime factors of 526/10 + (-6)/g?
53
Suppose 5 = -s, 0 = f - 5*s + 14 + 1. What are the prime factors of (464/f)/(2/(-10))?
2, 29
Suppose 4*c - w - 23350 = 0, 0 = -13*c + 8*c + 2*w + 29189. List the prime factors of c.
13, 449
Let w = 912 + -383. What are the prime factors of w?
23
Let v be (-12)/(-5)*20/(-6). Let a = v - -15. Suppose 0 = -4*x + 5*d + 11, -3*d - 20 = -4*x - a*d. List the prime factors of x.
2
Let u be (1/2)/(1/4). Let m = -1044 + 1044. Suppose -4*g + u*d = -126 - 96, m = 4*d + 12. What are the prime factors of g?
2, 3
Let d = -2 + 3. Suppose x - d = -2. What are the prime factors of 0 - (5*-4 - x)?
19
Let a(w) = 4*w**2 + 4*w + 4. Let p be a(4). Suppose p = -2*t - t. Let q = t + 42. List the prime factors of q.
2, 7
Suppose -6*w - 20 = -8*w. List the prime factors of (-12)/7*-2*35/w.
2, 3
Suppose -12701 = g - 14*g. List the prime factors of g.
977
Let p(k) be the first derivative of k**3/3 + 4*k**2 + 51*k - 13. What are the prime factors of p(-15)?
2, 3, 13
Suppose 0*q + 12 = 4*q. Suppose 0 = -f - 2*f - 21. Let h = q - f. What are the prime factors of h?
2, 5
Let v be (2/(-2) + -2)*(-4 - -5). Suppose 0*t + 24 = 4*t. What are the prime factors of (-28)/v - t/18?
3
Let h = -11 + 13. Suppose -m + h*m - 2 = 0. Suppose m*w - 2 = 26. What are the prime factors of w?
2, 7
Suppose -6*z - 12*i + 5978 = -8*i, 5*z - 4999 = i. List the prime factors of z.
3, 37
Suppose 7*b - 8*b = 1. What are the prime factors of (49 + -10)*b/(-1)?
3, 13
Suppose -3*n - 5696 = -b, -6842 = 4*b - 3*n - 29635. What are the prime factors of b?
41, 139
Suppose -4*n + 11 = 4*k - 73, k = -3*n + 61. Suppose 0 - n = 5*d. Let x = d - -15. What are the prime factors of x?
11
Let q(l) = -l**3 - 4*l**2 + 2*l + 8. Let o be q(-5). Suppose 0 = 29*w - o*w - 42. List the prime factors of w.
7
Let u = 26 + -17. Let a = u + 5. List the prime factors of a.
2, 7
Let w = 14 + -8. Let l(a) = 28*a**2 - 7*a - 5. Let s(i) = -29*i**2 + 8*i + 6. Let t(h) = w*l(h) + 5*s(h). What are the prime factors of t(-1)?
5
Let s be (-4385)/(-20) + (-3 - 15/(-4)). Suppose s = 11*g - 594. List the prime factors of g.
2, 37
Let h = 18 - 15. Let y be (0/2)/(5 - h). Suppose -d + 14 + 27 = y. What are the prime factors of d?
41
Let g(u) = -9*u**2 - 17*u + 7. Let k(o) = 5*o**2 + 8*o - 3. Let y(f) = 4*g(f) + 7*k(f). What are the prime factors of y(-11)?
2, 3
Let c(h) = 2*h**3 - 2*h**2 - 2*h + 3. Let b be c(2). Suppose b*j - 153 = 4*j. What are the prime factors of j?
3, 17
Let h = 42 - 40. Suppose -30 = -4*p + h*k, -p + 2*k + 38 = 4*p. List the prime factors of p.
2
Let l = -335 - -2686. What are the prime factors of l?
2351
Let m be (-294)/(-2) - (-1 + 0). Let s = m - 71. List the prime factors of s.
7, 11
Suppose 2452 = 5*b - 8. List the prime factors of (-3)/(-6) + b/8.
2, 31
Let b = -65 - -166. List the prime factors of b.
101
List the prime factors of ((-3978)/(-15))/(-5*(-12)/800).
2, 13, 17
Let v = 2344 + -519. What are the prime factors of v?
5, 73
List the prime factors of 516/18*(-18)/(-12).
43
Let p(x) = 2*x**2 + 17*x - 2. Let g be p(-10). Suppose -6*k - g + 460 = 0. List the prime factors of k.
2, 3
What are the prime factors of 1143 - (7 - 14 - -9)?
7, 163
Let y(f) = f**2 - 3*f - 4. Let t be -21 + 25 + 2*1. Let q be y(t). Suppose -3*n = 3*l - 114, q + 76 = 2*l - 5*n. What are the prime factors of l?
2, 5
Suppose 4*c + 4581 = -3*o + 17849, c - 3*o - 3317 = 0. What are the prime factors of c?
31, 107
Let j = -3 + 12. Let t = j - 3. List the prime factors of t.
2, 3
Let p = -1783 + 2789. List the prime factors of p.
2, 503
Let d be 4/16 + (-54)/(-8). Let s(g) = 6*g + 5. Let q be s(d). Let h = q - 17. What are the prime factors of h?
2, 3, 5
Let v = -14 - 16. What are the prime factors of v/(56/(-12) + 4)?
3, 5
Let h(q) = -q**2 - 7*q - 6. Let t be 5*((-48)/10)/3. Let v be h(t). Let n = -4 - v. What are the prime factors of n?
2, 5
Let m be (-14)/(-49) + 6856/14. Suppose -3*q + 5*q + 5*k - 254 = 0, -4*q = k - m. What are the prime factors of q?
2, 61
Suppose -50 = -4*z + 2*h - h, 2*z + 2*h - 30 = 0. Suppose 5*p - 70 = 75. Suppose -6*g + p = -4*g + j, -j = -g + z. What are the prime factors of g?
2, 7
Let o = -2 - -6. Suppose o*f + f = 10. What are the prime factors of 172/8 - 1/f?
3, 7
Sup | {
"pile_set_name": "DM Mathematics"
} |
**3 + 14*q**3 + q**3 + 6*q**b - 5*q**3.
2*q**2*(q + 1)*(q + 3)
Suppose 1070*t**5 + 63*t**2 - 2149*t**5 + 47*t**3 - 15*t**4 + 1080*t**5 = 0. What is t?
-1, 0, 7, 9
Let y(o) be the second derivative of -1/8*o**4 + 0 + 1/80*o**5 - 1/24*o**3 + 3/4*o**2 - 91*o. Factor y(u).
(u - 6)*(u - 1)*(u + 1)/4
Let m(b) be the second derivative of b**4/3 - 1184*b**3/3 + 175232*b**2 - 3*b - 16. Solve m(s) = 0.
296
Suppose -16*c + 11*c + 15 = 0. Suppose -3*t - 3*b = -30, 5*b = 2*t + c*t. Solve -108*s**2 - 5*s + 5*s**3 + 113*s**2 + t*s = 0.
-1, 0
Let t = -504410 + 504413. Let q + 6/7 + 0*q**2 - 1/7*q**t = 0. What is q?
-2, -1, 3
Let m be 2/(-4) - (-665)/570. Let a(x) be the second derivative of 1/6*x**4 + 0*x**2 + 0 - 1/10*x**5 - 11*x + m*x**3. Factor a(n).
-2*n*(n - 2)*(n + 1)
Let y(b) be the first derivative of 3*b**4 + 88*b**3/3 - 114*b**2 - 432*b + 3676. Factor y(s).
4*(s - 3)*(s + 9)*(3*s + 4)
Let m(r) = 3*r**2 - 72. Let y be m(-11). Let j = y + -287. Factor 12/7*z**3 + 16/7*z - 2/7*z**j - 24/7*z**2 + 0.
-2*z*(z - 2)**3/7
Let p(l) = -4*l + 3*l**3 - l**2 - 3*l - l. Let f be -5*(64/(-20))/(-8). Let m(h) = 48*h**3 - 15*h**2 - 129*h. Let q(i) = f*m(i) + 33*p(i). Factor q(s).
3*s*(s - 2)*(s + 1)
Factor -3527*d + 49*d**4 + 20*d**4 - 18060*d**2 + 351*d**4 - 5*d**5 - 8390*d**3 - 5718*d.
-5*d*(d - 43)**2*(d + 1)**2
Factor 117 + 129 - 859*y + 467*y + 509*y - 3*y**2.
-3*(y - 41)*(y + 2)
Suppose -2*k + 4*u = 6, -207*u + 208*u = -17*k + 54. Factor -260642/5 - 2/5*t**4 - 152/5*t**k - 54872/5*t - 4332/5*t**2.
-2*(t + 19)**4/5
Factor 3/2*x**3 - 324*x + 0 - 645/2*x**2.
3*x*(x - 216)*(x + 1)/2
Let i be ((-34332)/(-78))/(2/10*-2). Let c = i - -1101. Factor -c - 2/13*q**2 - 10/13*q.
-2*(q + 1)*(q + 4)/13
Let a(z) be the third derivative of -z**5/20 - 21*z**4/4 - 185*z**3/2 - 958*z**2. What is y in a(y) = 0?
-37, -5
Suppose -5*t + 2*a = -6, 0 = -17*a + 20*a - 6. Suppose -3*v**5 - 55 + 4*v**3 + 6*v**4 - 5*v**t + 61 + 2*v**3 - 3*v - 7*v**2 = 0. Calculate v.
-1, 1, 2
Suppose -169 + 109 = -20*o. Let w(m) be the first derivative of -9/5*m**5 + 9/14*m**6 + 0*m + 12/7*m**4 + 4 + 0*m**2 - 4/7*m**o. Let w(s) = 0. What is s?
0, 2/3, 1
Let w(y) be the second derivative of y**5/48 - 53*y**4/96 - 11*y**3/12 - 50*y**2 + 105*y. Let t(p) be the first derivative of w(p). Suppose t(u) = 0. What is u?
-2/5, 11
Let i(x) be the first derivative of x**4/18 - 34*x**3/3 - 103*x**2/3 - 310*x/9 - 1148. Factor i(m).
2*(m - 155)*(m + 1)**2/9
Factor 44*l**2 + 0*l + 4*l**3 + 76*l + 60*l**2 - 600.
4*(l - 2)*(l + 3)*(l + 25)
Find m such that 3*m + 3*m + 17*m - 3*m + 0*m**3 + 12*m**3 + 6 + 2*m**4 + 24*m**2 = 0.
-3, -1
Let u(o) be the first derivative of -o**3/24 + 347*o**2/16 + 525*o/4 + 13066. Solve u(l) = 0 for l.
-3, 350
Let w(q) = -2*q**3 + q**2 + q + 1. Let f(x) be the first derivative of -13*x**4/4 + 18*x**3 - 68*x**2 + 124*x - 76. Let d(h) = -f(h) + 4*w(h). Solve d(i) = 0.
2, 6
Let f = 911 + -911. Suppose 4*i - 12 = -f, 5*w - 4*i - 3 = 0. Factor -1/8*d**4 + 0*d + 1/4*d**w + 0 - 1/8*d**2.
-d**2*(d - 1)**2/8
Factor -133225/6 - 364/3*l**3 + 132860/3*l - 1/6*l**4 - 21961*l**2.
-(l - 1)**2*(l + 365)**2/6
Let l(r) be the first derivative of 2*r**3/3 + 53*r**2 - 220*r + 3164. Determine x so that l(x) = 0.
-55, 2
Let c = 72 - 67. Suppose 0 = -v - 2*g + 20, 17 = c*v - 3*g - 122. Solve i**2 - 6 - 13*i + 0 - 8*i + v*i = 0.
-6, 1
Let g(q) be the third derivative of -q**5/12 - 11*q**4/4 - 51*q**3/2 - q**2 + 27. Factor g(t).
-(t + 3)*(5*t + 51)
Let n = 834552 + -834549. Factor 0 - 2*t - 2*t**2 - 1/2*t**n.
-t*(t + 2)**2/2
Suppose 0 = 11*g - 13*g + 4. Let d be ((-12)/8)/(g/(-4)). Factor -3*y**3 - 7*y - 12 - 13*y + 8*y**3 - 4*y**2 - y**d.
4*(y - 3)*(y + 1)**2
Let k(u) be the second derivative of u**4/3 + 236*u**3/3 + 234*u**2 - 3*u + 61. Factor k(m).
4*(m + 1)*(m + 117)
Suppose 0 = -3*d - 44 + 59. Factor -86*l**4 - 197*l**4 - 624*l**2 + 144*l - 237*l**4 + 916*l**3 - 8*l**d + 108*l**5.
4*l*(l - 2)**2*(5*l - 3)**2
Let s be -2*10/(-16) - 20/16. Let o(b) = 3*b**2 - 4*b + 1. Let q be o(1). Solve 3/11*w**4 + q - 1/11*w**5 + 0*w + s*w**2 - 2/11*w**3 = 0.
0, 1, 2
Suppose 9*q + 4 = -2*l + 37, 0 = 6*q - 3*q - 9. Suppose -14/15*g**4 + 12/5*g**l + 0 - 8/3*g**2 + 2/15*g**5 + 16/15*g = 0. What is g?
0, 1, 2
Let s(z) be the first derivative of 3/20*z**4 + 126 - 12/5*z**3 + 72/5*z**2 - 192/5*z. Factor s(j).
3*(j - 4)**3/5
Let j(a) = -1373*a + 19224. Let z be j(14). Find p, given that -1/4*p**z + 1/4 + 0*p = 0.
-1, 1
Let u(x) be the second derivative of -2*x**6/3 + 7*x**5/5 + 43*x**4/3 - 42*x**3 + 36*x**2 - 2208*x - 1. Suppose u(b) = 0. Calculate b.
-3, 2/5, 1, 3
Suppose 416*b - 144 = 410*b. Suppose 12*o - b*o = -336. Factor o*r + 10 + 98/5*r**2.
2*(7*r + 5)**2/5
Let y(r) be the third derivative of -r**7/840 - r**6/24 - 67*r**5/240 - r**4/2 - 1800*r**2. Find i such that y(i) = 0.
-16, -3, -1, 0
Let t be 5 - ((16 - 10) + -7). Let l(x) be the third derivative of 0 + 0*x**4 + 18*x**2 - 1/24*x**t + 0*x + 1/12*x**5 + 0*x**3. Factor l(r).
-5*r**2*(r - 1)
Let t(r) be the first derivative of -141 - 505/4*r**2 - 215/3*r - 35/18*r**3. Factor t(y).
-5*(y + 43)*(7*y + 2)/6
Let i(u) be the third derivative of -u**9/5040 + u**7/840 + 71*u**4/12 + 51*u**2. Let o(g) be the second derivative of i(g). Factor o(p).
-3*p**2*(p - 1)*(p + 1)
Suppose 622911*j = 622853*j + 174. Suppose 0 - 2/11*x**j - 12/11*x**2 - 10/11*x = 0. Calculate x.
-5, -1, 0
Let d(v) be the first derivative of 25/12*v**4 + 0*v**2 - 11 + 0*v - 1/72*v**6 - 1/8*v**5 - 7/3*v**3. Let u(t) be the third derivative of d(t). Factor u(b).
-5*(b - 2)*(b + 5)
Let n(m) = 2*m**2 + 48*m - 218. Let d be n(-28). Let l(p) be the first derivative of 0*p**2 - 2*p**3 + 3/4*p**4 + 5/2*p**d + 0*p + 11 + 24/5*p**5. Factor l(z).
3*z**2*(z + 1)**2*(5*z - 2)
Determine j so that -1789*j**2 - 17 - 25*j**4 + 2442*j**2 - 8951*j**2 + j**4 - 5556*j**3 - 4143*j - 673 = 0.
-230, -1/2
Let m(r) = -2*r**3 - 60*r**2 - 164*r - 50. Let h be m(-27). Factor 12/11*a**3 + 0 + 18/11*a**h + 6/11*a**5 + 0*a + 0*a**2.
6*a**3*(a + 1)*(a + 2)/11
Let o(f) be the third derivative of f**7/280 + f**6/20 + 11*f**5/80 - f**4/4 - 3*f**3/2 + 2323*f**2. Let o(y) = 0. Calculate y.
-6, -2, -1, 1
Let n = -2317760/399 - -40695/7. Let v = -56/57 + n. Determine r so that v*r + 1/3*r**3 - 2 - 2*r**2 = 0.
1, 2, 3
Let f(k) be the first derivative of -4*k**5/5 - 216*k**4 - 45784*k**3/3 + 47088*k**2 - 47524*k + 4808. Find v, given that f(v) = 0.
-109, 1
What is i in -20/3*i - 2/3*i**2 + 22/3 = 0?
-11, 1
Suppose -5*c + 1 = -3*k, 3*k + 4*c - 7 = 10. Suppose 5*n - 20 = 0, -k*n - 6 = -d - 2*d. Suppose o**2 - o**4 - o**3 + o + d - 6 = 0. Calculate o.
-1, 0, 1
Let c(p) be the first derivative of 18*p - 1/15*p**5 + 2/3*p**2 + 15 + 1/3*p**4 - 2/3*p**3. Let k(f) be the first derivative of c(f). Find v such that k(v) = 0.
1
Let s(p) = 14*p**3 + 2*p**2 + 7*p - 13. Let r be s(4). Let n = r + -2828/3. Factor -n*m + 2/3 - 1/3*m**2.
-(m - 1)*(m + 2)/3
Let u(d) = -4*d**3 - 12*d**2 + 23*d + 35. Let j(q) = -q + 3. Let m(k) = -j(k) + u(k). Factor m(x).
-4*(x - 2)*(x + 1)*(x + 4)
Let s(f) be the second derivative of -f**7/21 + 2*f**6/15 + 4*f**5/5 - 3*f**4 + 3*f**3 - 128*f + 37. Solve s(h) = 0 for h.
-3, 0, 1, 3
Let i(r) = 7*r**3 - 19*r**2 + 67*r + 5. Let q(x) = -2 - 33*x - 110*x**2 - 3*x**3 + 120*x**2 - x. Let w(j) = 2*i(j) + 5*q(j). Factor w(p).
-p*(p - 6)**2
Let i(t) be the third derivative of -3/10*t**5 + 0*t - 3*t**3 + 0 + 1/40*t**6 + 11/8*t**4 + 30*t**2. Solve i(b) = 0.
1, 2, 3
Suppose 18819 = -73*t + 124*t. Let x = -369 + t. Suppose -4/7*q**3 + 4/7*q - 2/7*q**4 + x + 2/7*q**2 = 0. What is q?
-2, -1, 0, 1
Let h = 4326/85 - 37574/765. Determine k, given that 4/3*k**2 + h + 2/9*k**3 - 10/3*k = 0.
-8, 1
Let r be (-148)/(-48) + -1 + (-1)/(-54)*(-2853)/634. Suppose r*l**2 - 16/7 + 12/7*l**3 + 2/7*l**4 - 12/7*l = 0. What is l?
-4, -2, -1, 1
Let a = -251413/15 - -16761. Let w(m) be the first derivative of 0*m**3 - 7/18*m**6 - a*m**5 + 0*m**2 + 0*m**4 + 51 + 0*m. Let w(k) = 0. Calculate k.
-2/7, 0
Let u = -151 + -116. Let t = 186 - u. Factor 453 - 6*c**3 - 2*c**2 - 6*c**4 - t - 2*c**5.
-2*c**2*(c + 1)**3
What is x in 292*x - 113*x + x**2 - 79*x - 84*x = 0?
-16, 0
Let w = 142068 + -426190/3. Factor -1/6*u**2 - 98/3 - w*u.
-(u + 14)**2/6
Let b(x) be the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
0 and 172?
4
Calculate the greatest common divisor of 440 and 6512.
88
What is the highest common divisor of 221 and 69241?
17
What is the greatest common factor of 239872 and 256?
256
What is the highest common factor of 7165 and 55?
5
What is the greatest common divisor of 12122 and 38874?
418
What is the greatest common divisor of 5592 and 72?
24
Calculate the highest common divisor of 27136 and 112.
16
Calculate the highest common divisor of 199 and 1513196.
199
Calculate the highest common factor of 411 and 2004858.
411
Calculate the highest common factor of 305 and 136823.
61
Calculate the highest common factor of 747 and 89046.
9
Calculate the highest common factor of 1892577 and 159.
159
Calculate the greatest common factor of 15 and 17845.
5
Calculate the highest common factor of 500 and 48540.
20
What is the highest common factor of 174 and 151757?
29
What is the greatest common factor of 13398 and 602?
14
Calculate the highest common divisor of 405 and 976590.
135
Calculate the greatest common divisor of 162 and 1143.
9
What is the highest common factor of 745604 and 212?
212
Calculate the highest common factor of 108381 and 18659.
397
What is the greatest common divisor of 36 and 53226?
18
Calculate the greatest common factor of 1137472 and 154.
14
What is the greatest common divisor of 322 and 1232?
14
Calculate the greatest common divisor of 13122 and 25488.
54
What is the greatest common factor of 139158 and 972?
162
Calculate the greatest common factor of 894754 and 23226.
1106
Calculate the highest common divisor of 8902 and 14.
2
What is the greatest common factor of 786 and 11634?
6
What is the highest common factor of 46003 and 1028?
257
Calculate the greatest common factor of 3009 and 187.
17
What is the greatest common divisor of 7047 and 4089?
87
Calculate the greatest common factor of 20650 and 350.
350
Calculate the highest common factor of 803 and 2263.
73
What is the greatest common divisor of 52590 and 595?
5
What is the greatest common divisor of 49664 and 18944?
512
Calculate the greatest common factor of 464 and 3472.
16
Calculate the greatest common divisor of 15 and 71727.
3
What is the greatest common divisor of 2493579 and 779?
779
Calculate the highest common factor of 16077 and 14559.
69
Calculate the highest common factor of 240 and 92370.
30
What is the highest common divisor of 106 and 546218?
106
Calculate the highest common divisor of 1025 and 146325.
25
Calculate the greatest common factor of 3103 and 5671.
107
What is the greatest common divisor of 27135 and 567?
81
What is the highest common factor of 14525 and 28469?
581
What is the highest common factor of 154 and 870518?
22
What is the greatest common divisor of 3780 and 399924?
756
What is the greatest common divisor of 27408 and 384?
48
What is the greatest common divisor of 1538304 and 8?
8
Calculate the greatest common divisor of 97 and 1739113.
97
Calculate the greatest common factor of 37920 and 1904.
16
Calculate the greatest common factor of 208 and 1464476.
52
Calculate the highest common factor of 3813405 and 1110.
555
Calculate the greatest common factor of 166 and 465298.
166
What is the highest common divisor of 178 and 439927?
89
What is the highest common factor of 344932 and 8924?
388
What is the highest common factor of 14 and 22558?
2
Calculate the highest common divisor of 5924776 and 208.
104
What is the highest common factor of 3030 and 45?
15
Calculate the highest common factor of 187061 and 21.
7
Calculate the highest common divisor of 42 and 768586.
14
Calculate the highest common divisor of 1387 and 13724.
73
What is the highest common divisor of 21264 and 528?
48
Calculate the highest common divisor of 3584 and 21392.
112
What is the greatest common divisor of 27789 and 8007?
471
What is the highest common factor of 67513 and 1492?
373
What is the greatest common divisor of 11880 and 16720?
440
What is the highest common factor of 225 and 231975?
225
What is the highest common factor of 324 and 1225449?
81
What is the greatest common divisor of 231 and 145068?
231
Calculate the highest common factor of 5 and 9235.
5
What is the greatest common factor of 22 and 39512?
22
Calculate the highest common divisor of 702 and 106002.
702
Calculate the greatest common divisor of 892 and 6500.
4
What is the greatest common factor of 4564912 and 11?
11
What is the greatest common factor of 16 and 1450?
2
What is the greatest common factor of 460 and 92280?
20
What is the greatest common divisor of 416102 and 518?
74
What is the highest common factor of 91910 and 5642?
182
Calculate the greatest common factor of 47306 and 7.
7
Calculate the greatest common factor of 408 and 2729724.
204
What is the greatest common factor of 26369 and 371?
7
Calculate the highest common divisor of 1016210 and 390.
130
Calculate the greatest common divisor of 303 and 1488.
3
Calculate the highest common divisor of 756 and 93.
3
What is the greatest common divisor of 375958 and 2530?
506
Calculate the highest common factor of 2069064 and 1736.
248
Calculate the highest common factor of 2 and 33636.
2
Calculate the highest common factor of 3281 and 30.
1
What is the greatest common factor of 501 and 467099?
167
What is the greatest common divisor of 20637 and 81?
9
What is the greatest common factor of 814 and 1358566?
814
What is the highest common factor of 2256 and 6345?
141
Calculate the highest common divisor of 11 and 319099.
11
Calculate the highest common divisor of 2440242 and 4887.
1629
Calculate the greatest common divisor of 26433 and 66.
33
What is the highest common factor of 992790 and 54?
54
Calculate the highest common divisor of 226321 and 34.
17
What is the highest common divisor of 7 and 2233?
7
What is the highest common factor of 160 and 118540?
20
Calculate the highest common divisor of 4 and 13610.
2
Calculate the greatest common divisor of 13 and 1718977.
13
Calculate the greatest common divisor of 640 and 80480.
160
What is the highest common factor of 60770 and 10030?
590
What is the greatest common divisor of 596 and 13731244?
596
Calculate the highest common divisor of 47664 and 144.
144
Calculate the greatest common divisor of 50 and 8230.
10
What is the highest common factor of 306135 and 225?
45
Calculate the greatest common divisor of 396 and 21312.
36
What is the greatest common divisor of 10518 and 204?
6
What is the highest common factor of 10155 and 195?
15
What is the highest common factor of 1697443 and 55?
11
What is the highest common factor of 600 and 48150?
150
What is the highest common factor of 144 and 47124?
36
What is the greatest common factor of 151633 and 2968?
53
Calculate the highest common factor of 10 and 788770.
10
What is the highest common divisor of 21650 and 13856?
866
What is the greatest common divisor of 84 and 7294?
14
Calculate the highest common factor of 709993 and 341.
31
What is the highest common divisor of 303176 and 4?
4
Calculate the greatest common divisor of 5 and 2083.
1
Calculate the highest common factor of 7697988 and 12.
12
Calculate the greatest common divisor of 933 and 21770.
311
Calculate the greatest common factor of 6 and 981822.
6
Calculate the highest common factor of 66308 and 726.
242
Calculate the greatest common factor of 67 and 1855967.
67
Calculate the greatest common factor of 1332 and 354.
6
Calculate the highest common divisor of 84703 and 355.
71
What is the greatest common factor of 38808 and 8484?
84
Calculate the highest common divisor of 385165 and 376.
47
Calculate the highest common divisor of 144 and 196488.
72
What is the greatest common factor of 2976 and 64?
32
What is the highest common factor of 117 and 190879?
13
What is the highest common factor of 615924 and 24?
12
What is the greatest common factor of 423 and 1101257?
47
What is the highest common factor of 13 and 72748?
13
What is the greatest common divisor of 179751 and 117?
39
Calculate the highest common factor of 42 and 84406.
14
What is the greatest common divisor of 647560 and 40?
40
Calculate the highest common factor of 220 and 16368.
44
Calculate the highest common divisor of 3294 and 1342.
122
What is the highest common factor of 31 and 10819?
31
What is the greatest common f | {
"pile_set_name": "DM Mathematics"
} |
s the u'th term of 256, 487, 718, 949?
231*u + 25
What is the b'th term of 26, 103, 240, 443, 718, 1071, 1508, 2035?
b**3 + 24*b**2 - 2*b + 3
What is the z'th term of 48, 24, -12, -66, -144?
-z**3 - 17*z + 66
What is the h'th term of 2, -1, -8, -19?
-2*h**2 + 3*h + 1
What is the l'th term of 120, 116, 110, 102, 92, 80, 66?
-l**2 - l + 122
What is the q'th term of 1, -43, -109, -191, -283, -379, -473?
q**3 - 17*q**2 + 17
What is the l'th term of 6929, 6928, 6927, 6926, 6925?
-l + 6930
What is the w'th term of -2041, -4084, -6127, -8170, -10213?
-2043*w + 2
What is the i'th term of 20, 22, 26, 32, 40?
i**2 - i + 20
What is the j'th term of -617, -1237, -1859, -2483, -3109, -3737?
-j**2 - 617*j + 1
What is the t'th term of -537, -1072, -1607?
-535*t - 2
What is the u'th term of 4758, 9517, 14278, 19041, 23806, 28573, 33342?
u**2 + 4756*u + 1
What is the h'th term of 463, 470, 489, 526, 587, 678, 805?
h**3 + 462
What is the r'th term of -49, -123, -197, -271, -345, -419?
-74*r + 25
What is the a'th term of 230, 456, 666, 854, 1014, 1140, 1226, 1266?
-a**3 - 2*a**2 + 239*a - 6
What is the h'th term of 534, 1064, 1594, 2124?
530*h + 4
What is the o'th term of -44, -37, -26, -11, 8, 31, 58?
2*o**2 + o - 47
What is the d'th term of 1095, 1123, 1155, 1191, 1231, 1275?
2*d**2 + 22*d + 1071
What is the v'th term of -71, -72, -73, -74, -75, -76?
-v - 70
What is the u'th term of -36, -344, -1190, -2844, -5576?
-45*u**3 + u**2 + 4*u + 4
What is the m'th term of -46, -28, 0, 38, 86, 144, 212?
5*m**2 + 3*m - 54
What is the x'th term of -1023, -2039, -3039, -4017, -4967, -5883, -6759, -7589?
x**3 + 2*x**2 - 1029*x + 3
What is the w'th term of -46, -102, -166, -238, -318?
-4*w**2 - 44*w + 2
What is the s'th term of 65, 79, 113, 173, 265, 395, 569, 793?
s**3 + 4*s**2 - 5*s + 65
What is the n'th term of 31, 70, 111, 154?
n**2 + 36*n - 6
What is the n'th term of -25, -19, -17, -25, -49, -95?
-n**3 + 4*n**2 + n - 29
What is the r'th term of 4, 30, 80, 166, 300?
2*r**3 + 12*r - 10
What is the v'th term of -2, 13, 40, 79, 130, 193?
6*v**2 - 3*v - 5
What is the p'th term of -517, -1043, -1577, -2125, -2693, -3287?
-p**3 + 2*p**2 - 525*p + 7
What is the c'th term of -365, -353, -327, -281, -209?
c**3 + c**2 + 2*c - 369
What is the p'th term of 34306, 68617, 102930, 137245, 171562?
p**2 + 34308*p - 3
What is the i'th term of 1, -4, -19, -50, -103, -184, -299, -454?
-i**3 + i**2 - i + 2
What is the g'th term of 22, 36, 58, 88, 126, 172?
4*g**2 + 2*g + 16
What is the c'th term of -139, -290, -451, -622?
-5*c**2 - 136*c + 2
What is the z'th term of -40, -138, -292, -496, -744, -1030?
z**3 - 34*z**2 - 3*z - 4
What is the z'th term of 8751, 8750, 8749, 8748?
-z + 8752
What is the l'th term of 285, 575, 867, 1161, 1457, 1755, 2055?
l**2 + 287*l - 3
What is the c'th term of 111, 462, 1053, 1890, 2979, 4326, 5937?
c**3 + 114*c**2 + 2*c - 6
What is the j'th term of -1800, -1799, -1798?
j - 1801
What is the a'th term of 82, 121, 186, 277, 394?
13*a**2 + 69
What is the z'th term of 249, 297, 331, 345, 333, 289, 207, 81?
-z**3 - z**2 + 58*z + 193
What is the v'th term of -5, 21, 63, 121?
8*v**2 + 2*v - 15
What is the h'th term of -24379, -24375, -24369, -24361, -24351?
h**2 + h - 24381
What is the k'th term of -38, -12, 62, 208, 450?
4*k**3 - 2*k - 40
What is the k'th term of 10, 26, 44, 64, 86, 110?
k**2 + 13*k - 4
What is the b'th term of -542, -571, -648, -797, -1042, -1407?
-4*b**3 - b - 537
What is the u'th term of 12, -22, -56, -90, -124, -158?
-34*u + 46
What is the r'th term of -22, -47, -74, -103, -134?
-r**2 - 22*r + 1
What is the w'th term of 41, 138, 395, 890, 1701, 2906, 4583?
13*w**3 + 2*w**2 + 26
What is the u'th term of -62, -60, -56, -50, -42, -32?
u**2 - u - 62
What is the g'th term of 9, -3, -19, -39, -63, -91?
-2*g**2 - 6*g + 17
What is the j'th term of -657, -1319, -1983, -2649?
-j**2 - 659*j + 3
What is the s'th term of -4462, -4463, -4464, -4465, -4466, -4467?
-s - 4461
What is the f'th term of 230, 239, 258, 293, 350, 435, 554?
f**3 - f**2 + 5*f + 225
What is the j'th term of -107, -105, -103, -101, -99, -97?
2*j - 109
What is the c'th term of 15, 26, 45, 78, 131, 210, 321, 470?
c**3 - 2*c**2 + 10*c + 6
What is the v'th term of 59, 64, 81, 116, 175, 264, 389?
v**3 - 2*v + 60
What is the y'th term of 11, 20, 33, 50, 71, 96, 125?
2*y**2 + 3*y + 6
What is the h'th term of 53, 104, 155, 206, 257, 308?
51*h + 2
What is the s'th term of 131, 124, 117, 110?
-7*s + 138
What is the m'th term of -110, -66, 0, 82, 174, 270, 364?
-m**3 + 17*m**2 - 126
What is the h'th term of 5, 13, 23, 35?
h**2 + 5*h - 1
What is the m'th term of -4, -6, -16, -40, -84, -154, -256, -396?
-m**3 + 2*m**2 - m - 4
What is the y'th term of -190, -179, -168, -157, -146?
11*y - 201
What is the k'th term of 235, 246, 259, 274, 291, 310?
k**2 + 8*k + 226
What is the f'th term of 724, 1447, 2170, 2893?
723*f + 1
What is the t'th term of 14, 39, 64, 89, 114, 139?
25*t - 11
What is the p'th term of 286, 299, 312, 325, 338, 351?
13*p + 273
What is the m'th term of 36, 71, 106, 141, 176?
35*m + 1
What is the u'th term of 4337, 17348, 39033, 69392, 108425, 156132, 212513?
4337*u**2
What is the d'th term of -159, -168, -177, -186, -195, -204?
-9*d - 150
What is the t'th term of 2530, 5060, 7590, 10120?
2530*t
What is the d'th term of 9, 38, 89, 162, 257, 374?
11*d**2 - 4*d + 2
What is the p'th term of 116, 118, 124, 134?
2*p**2 - 4*p + 118
What is the z'th term of 1561, 3121, 4677, 6229, 7777?
-2*z**2 + 1566*z - 3
What is the j'th term of -796, -789, -782?
7*j - 803
What is the m'th term of -1065, -1066, -1067, -1068, -1069, -1070?
-m - 1064
What is the r'th term of 1551, 1563, 1581, 1605, 1635, 1671?
3*r**2 + 3*r + 1545
What is the f'th term of 99, 193, 273, 333, 367, 369, 333?
-f**3 - f**2 + 104*f - 3
What is the d'th term of 718, 717, 716, 715?
-d + 719
What is the w'th term of -135, -141, -147, -153?
-6*w - 129
What is the v'th term of -27, -26, -25, -24?
v - 28
What is the v'th term of -1020, -1017, -1004, -975, -924, -845, -732, -579?
v**3 - v**2 - v - 1019
What is the n'th term of -2, -15, -50, -119, -234, -407, -650?
-2*n**3 + n**2 - 2*n + 1
What is the c'th term of -10, 1, 20, 47, 82, 125?
4*c**2 - c - 13
What is the s'th term of 124, 128, 134, 142?
s**2 + s + 122
What is the u'th term of -390, -781, -1172, -1563, -1954?
-391*u + 1
What is the a'th term of -172, -169, -164, -157, -148?
a**2 - 173
What is the f'th term of -64, -63, -50, -19, 36?
f**3 - 6*f - 59
What is the q'th term of -33, -45, -59, -75?
-q**2 - 9*q - 23
What is the x'th term of -51, -524, -1837, -4410, -8663, -15016, -23889, -35702?
-70*x**3 + 17*x + 2
What is the m'th term of -10, 4, 28, 56, 82, 100?
-m**3 + 11*m**2 - 12*m - 8
What is the j'th term of -786, -813, -858, -921, -1002, -1101, -1218?
-9*j**2 - 777
What is the h'th term of -72, -18, 70, 192?
17*h**2 + 3*h - 92
What is the k'th term of -193, -153, -87, 5, 123, 267, 437?
13*k**2 + k - 207
What is the h'th term of -17, -18, -19, -20, -21?
-h - 16
What is the a'th term of 331, 659, 987?
328*a + 3
What is the u'th term of 22, 20, 18, 16?
-2*u + 24
What is the b'th term of 194, 303, 412?
109*b + 85
What is the q'th term of -1399, -1418, -1449, -1492, -1547?
-6*q**2 - q - 1392
What is the l'th term of -1728, -1727, -1726, -1725?
l - 1729
What is the a'th term of -243, -244, -235, -210, -163?
a**3 - a**2 - 5*a - 238
What is the d'th term of -65, -89, -139, -221, -341, -505, -719, -989?
-d**3 - 7*d**2 + 4*d - 61
What is the h'th term of -18, -41, -64?
-23*h + 5
What is the o'th term of -201, -415, -631, -849?
-o**2 - 211*o + 11
What is the v'th term of 19, 28, 23, -2, -53, -136, -257, -422?
-v**3 - v**2 + 19*v + 2
What is the u'th term of -390, -380, -356, -312, -242?
u**3 + u**2 - 392
What is the d'th term of 358, 361, 364, 367, 370, 373?
3*d + 355
What is the y'th term of 11, 110, 379, 902, 1763, 3046, 4835, 7214?
14*y**3 + y**2 - 2*y - 2
What is the q'th term of 2008, 2007, 2006, 2005, 2004, 2003?
-q + 2009
What is the t'th term of -41, -157, -359, -653, -1045, -1541?
-t**3 - 37*t**2 + 2*t - 5
What is the v'th term of 31, 59, 87?
28*v + 3
What is the w'th term of -408, -409, -410, -411?
-w - 407
What is the r'th term of -18, -27, -36, -39, -30, -3, 48, 129?
r**3 - 6 | {
"pile_set_name": "DM Mathematics"
} |
iple of 72 and 72.
72
Calculate the lowest common multiple of 14 and 9296.
9296
What is the least common multiple of 12780 and 8?
25560
What is the common denominator of -24/13 and -8/11?
143
Calculate the smallest common multiple of 1056 and 1760.
5280
What is the lowest common multiple of 16 and 128?
128
Calculate the smallest common multiple of 33 and 318.
3498
Calculate the smallest common multiple of 12 and 2312.
6936
Calculate the common denominator of -3/235 and 19/7.
1645
What is the least common multiple of 966 and 2760?
19320
Find the common denominator of 23/2422 and -61/6920.
48440
Find the common denominator of 15/226 and 59/8.
904
Calculate the smallest common multiple of 2 and 22.
22
What is the common denominator of -93/16 and 105/368?
368
Find the common denominator of 2/11 and -34/55.
55
What is the common denominator of 47/1232 and 20/1001?
16016
Find the common denominator of -149/90 and 4/1485.
2970
Calculate the common denominator of 163/504 and -31/11.
5544
Calculate the least common multiple of 13108 and 4.
13108
Calculate the common denominator of -74/27 and 71/78.
702
What is the lowest common multiple of 28 and 140?
140
What is the common denominator of -11/18 and -58/3537?
7074
What is the common denominator of 109/510 and -73/850?
2550
Calculate the lowest common multiple of 4 and 369.
1476
Find the common denominator of -79/442 and -25/13.
442
Find the common denominator of 65/21 and 9/98.
294
What is the lowest common multiple of 84 and 189?
756
What is the common denominator of -85/6 and 85/8?
24
Calculate the common denominator of 11/2 and -41/138.
138
Calculate the smallest common multiple of 270 and 35.
1890
What is the lowest common multiple of 735 and 1960?
5880
Calculate the common denominator of -47/11 and 119/774.
8514
Calculate the lowest common multiple of 6296 and 12.
18888
Find the common denominator of 133/24 and 15/1684.
10104
What is the common denominator of -59/70 and -83/16?
560
Find the common denominator of 71/324 and 25/216.
648
What is the common denominator of 169/30 and 29/8394?
41970
Calculate the common denominator of 47/8 and 37/470.
1880
Calculate the common denominator of 29/128 and -81/16.
128
Find the common denominator of 115/54 and 17/9.
54
Find the common denominator of -59/40 and -53/88.
440
What is the smallest common multiple of 64 and 8?
64
What is the common denominator of -1/6 and -107/1146?
1146
What is the lowest common multiple of 104 and 244?
6344
Calculate the smallest common multiple of 3998 and 5.
19990
Calculate the least common multiple of 50 and 250.
250
Calculate the lowest common multiple of 12 and 207.
828
Calculate the least common multiple of 16 and 3772.
15088
Calculate the common denominator of 15/224 and -61/21.
672
What is the common denominator of 95/4 and -31/5066?
10132
What is the lowest common multiple of 350 and 45?
3150
What is the least common multiple of 224 and 532?
4256
Calculate the least common multiple of 8386 and 8.
33544
What is the least common multiple of 150 and 1248?
31200
Calculate the common denominator of -67/1370 and 149/24.
16440
Calculate the common denominator of -17/12 and -139/1512.
1512
Find the common denominator of -7/18 and 13/186.
558
Calculate the common denominator of 38/243 and -47/81.
243
Find the common denominator of 26/9 and 10/1011.
3033
What is the common denominator of 79/1870 and -107/990?
16830
Find the common denominator of -23/84 and 59/63.
252
Calculate the smallest common multiple of 177 and 30.
1770
Calculate the common denominator of -29/118 and -56/5.
590
Find the common denominator of 7/20 and -35/1342.
13420
Find the common denominator of 173/7140 and 74/3.
7140
What is the lowest common multiple of 195 and 117?
585
Find the common denominator of 109/2250 and 127/1950.
29250
Calculate the smallest common multiple of 39 and 1118.
3354
What is the lowest common multiple of 177 and 39?
2301
Calculate the least common multiple of 90 and 900.
900
Calculate the lowest common multiple of 198 and 132.
396
Calculate the common denominator of 22/21 and 27/5.
105
Calculate the least common multiple of 17685 and 84.
495180
Calculate the common denominator of -101/30 and -53/63.
630
Calculate the lowest common multiple of 18 and 642.
1926
Find the common denominator of -10/99 and 8/27.
297
Calculate the least common multiple of 573 and 1719.
1719
Find the common denominator of -13/6 and -125/238.
714
What is the least common multiple of 5056 and 22?
55616
What is the common denominator of -29/74 and -26?
74
Find the common denominator of -16/9 and 101/74.
666
What is the least common multiple of 8043 and 24?
64344
Calculate the common denominator of -113/110 and -123/110.
110
Calculate the least common multiple of 2096 and 6288.
6288
Find the common denominator of -53/324 and 35/81.
324
What is the lowest common multiple of 621 and 966?
8694
Calculate the common denominator of 13/1770 and 77/590.
1770
Calculate the common denominator of -55/384 and 91/40.
1920
What is the common denominator of 29/26 and -9/70?
910
Calculate the smallest common multiple of 24 and 2.
24
Find the common denominator of -19/49 and 32/7.
49
Calculate the common denominator of -23/20 and 73/224.
1120
What is the lowest common multiple of 18954 and 6?
18954
What is the lowest common multiple of 130 and 20?
260
Calculate the common denominator of 33/10 and 18/8635.
17270
Calculate the smallest common multiple of 44 and 148.
1628
Find the common denominator of -109/550 and 73/330.
1650
Calculate the common denominator of -3/2492 and -40/8099.
32396
Find the common denominator of 61/68 and 85/8.
136
Calculate the smallest common multiple of 4 and 18.
36
What is the common denominator of 67/234 and -155/234?
234
Calculate the common denominator of 37/246 and -101/16.
1968
Calculate the least common multiple of 190 and 5.
190
What is the smallest common multiple of 231 and 2233?
6699
What is the lowest common multiple of 144 and 126?
1008
Find the common denominator of 149/24 and -119/936.
936
Calculate the common denominator of -73/2 and 121/192.
192
Calculate the lowest common multiple of 12 and 24.
24
What is the smallest common multiple of 42 and 10?
210
Calculate the least common multiple of 72 and 192.
576
Calculate the lowest common multiple of 18 and 16.
144
What is the common denominator of 41/10 and 41/38?
190
Find the common denominator of 151/150 and -49/100.
300
Find the common denominator of -29/410 and 21/22.
4510
What is the common denominator of -13/4851 and -22/3969?
43659
Calculate the least common multiple of 1639 and 298.
3278
What is the smallest common multiple of 16 and 308?
1232
Find the common denominator of -76/9 and -8/1515.
4545
Calculate the least common multiple of 63 and 33.
693
What is the least common multiple of 2190 and 50?
10950
Calculate the lowest common multiple of 1 and 125.
125
Calculate the least common multiple of 616 and 22.
616
Find the common denominator of 58/129 and -2/387.
387
What is the least common multiple of 6 and 102?
102
Calculate the least common multiple of 80 and 180.
720
Calculate the smallest common multiple of 9 and 539.
4851
Calculate the lowest common multiple of 243 and 15.
1215
Find the common denominator of 64/21 and 1/21.
21
Find the common denominator of -65/6 and -155/222.
222
Calculate the common denominator of 19/10 and -11/127.
1270
Calculate the lowest common multiple of 96 and 64.
192
Calculate the smallest common multiple of 132 and 22.
132
Calculate the common denominator of -145/234 and 61/9126.
9126
What is the smallest common multiple of 294 and 26?
3822
What is the common denominator of -87/10 and 43/19302?
96510
What is the common denominator of -29/15 and -67/27?
135
What is the common denominator of 131/1062 and 91/60?
10620
What is the common denominator of -133/60 and 91/264?
1320
Calculate the least common multiple of 70 and 40.
280
Calculate the common denominator of 143/2592 and -7/3888.
7776
Calculate the common denominator of 113/3780 and 97/315.
3780
Calculate the common denominator of -33/5 and -3/14.
70
Calculate the common denominator of 79/60 and 109/40.
120
Find the common denominator of -47/21 and 121/84.
84
What is the common denominator o | {
"pile_set_name": "DM Mathematics"
} |
Determine b(w(v)).
-18*v**2 - 204
Let v(s) = -26*s**2. Let d(k) = -219*k + 577. Determine d(v(r)).
5694*r**2 + 577
Let f(v) = -1761818*v. Let m(d) = -4*d. Give m(f(u)).
7047272*u
Let y(c) = 84*c**2. Let x(r) = 3*r**2 - 18187. Determine x(y(g)).
21168*g**4 - 18187
Let p(r) = 11834*r. Let h(g) = -17*g + 65. Calculate h(p(m)).
-201178*m + 65
Let l(m) be the first derivative of -21*m**2 + 52. Let i(p) = p. Let f(t) = 35*i(t) + l(t). Let s(v) = 6*v - 3*v - 2*v. What is f(s(c))?
-7*c
Let h(w) = -2*w - 2419. Let k(t) = 317*t - 1. Give k(h(n)).
-634*n - 766824
Let c(b) be the third derivative of b**7/2520 + 61*b**4/24 - b**2 - 4. Let f(m) be the second derivative of c(m). Let q(n) = -84*n**2. Determine f(q(k)).
7056*k**4
Let p(b) = 3*b. Let q(f) = -252*f - 147. Let s(h) = -67*h - 36. Let r(o) = 4*q(o) - 15*s(o). What is r(p(k))?
-9*k - 48
Let z(b) = 2*b**2. Let p(o) = -33277044*o**2. What is z(p(n))?
2214723314755872*n**4
Let d(u) be the second derivative of u**4/2 - u**3/2 - u**2 - 10*u. Let i be d(-1). Let g(s) = 9 - i - 2 + 2*s**2. Let y(t) = -5*t. Give g(y(k)).
50*k**2
Let w(j) = j - 95 + 95 + 3*j. Let p(h) = -19*h. Let r(n) = 4*p(n) + 20*w(n). Let l(z) be the second derivative of -z**4 - z. Determine r(l(i)).
-48*i**2
Let h(v) = -351818*v**2. Let g(x) = -21*x. Determine g(h(a)).
7388178*a**2
Let v(f) = 29*f + 17*f + f**2 + 40*f - 86*f. Let j(t) = 6*t**2 + 14. Let a(o) = 17*o**2 + 43. Let m(p) = -3*a(p) + 8*j(p). Determine m(v(n)).
-3*n**4 - 17
Let w(g) = -33*g. Let j(d) = 531*d - 72. Let c(s) = -37*s + 5. Let t(v) = -72*c(v) - 5*j(v). Give w(t(u)).
-297*u
Let t(w) = -9*w - 678. Let d(l) = -176*l**2. What is t(d(h))?
1584*h**2 - 678
Let v be 1*43/6 - -13*78/(-169). Let k(a) be the second derivative of 0 + 12*a - v*a**3 + 0*a**2. Let j(u) = -2*u. Give j(k(r)).
14*r
Let j(m) = 2*m. Let f(d) = 1116*d + 324 - 324 + 145*d. Determine j(f(c)).
2522*c
Let r(t) = 4 - 16900*t + 16899*t - 4. Let v(n) = -22*n - 18. Give r(v(h)).
22*h + 18
Let q(o) = 2*o**2. Let y(t) = 5 + t**3 + t**2 - 9*t**2 + 1 - 2*t**2 + 9*t. Let l be y(9). Let s(a) = -2*a + l*a + 3*a + 2*a. Calculate s(q(f)).
18*f**2
Let y(i) = -3*i**2. Let j(v) = -3337748*v. What is y(j(t))?
-33421685134512*t**2
Let x(z) = z. Let t(v) = 6*v + 14. Let w be t(-2). Let h(s) = -84*s**w - 296 + 154 + 142. Give x(h(j)).
-84*j**2
Let w(f) = -71*f + 0 + 0 + 55*f + 18*f. Let j(c) = -1173*c + 2. Give j(w(y)).
-2346*y + 2
Let v(t) = -2*t + 2*t - 16*t + 2*t - 4*t. Let w(c) = -26*c**2 - c. Calculate v(w(n)).
468*n**2 + 18*n
Let r(c) = -1 - 6*c + 1. Let a(d) be the third derivative of d**4/12 + 23*d**2 + 25. Determine r(a(s)).
-12*s
Let s(r) = -r - 57 - 2*r + 108 - 51. Let y(h) = -16*h**2 - 8*h. What is y(s(k))?
-144*k**2 + 24*k
Let v(w) be the second derivative of -3*w**3/2 + w. Let i(z) be the third derivative of 1/12*z**4 + 0 + 0*z**3 - 2*z - 20*z**2. Give v(i(h)).
-18*h
Let w be 2/(-4) - (152/(-16) + 7). Let v(s) = -84*s**2 - 85*s**2 + 34*s**w - 13*s**2. Let a(i) = 2*i. Determine v(a(h)).
-592*h**2
Let u(b) be the first derivative of b**5/120 + b**3/3 - 19*b**2/2 - 91. Let l(c) be the third derivative of u(c). Let s(o) = 316*o. Determine l(s(a)).
316*a
Let p(f) = -3*f. Let y(j) be the first derivative of 20/3*j**3 + 63 + 0*j - 1/2*j**2. Give p(y(v)).
-60*v**2 + 3*v
Let g(w) = 113*w**2 + 120*w**2 - 126*w**2 - 1. Let s(l) = -4*l**2. Give g(s(p)).
1712*p**4 - 1
Let y(j) = 30*j. Let p(b) = -110*b + 61*b + 47*b - 188. Give p(y(w)).
-60*w - 188
Let g(c) = 42*c. Let u(h) = 44*h + 1059439 - 1059439. What is g(u(z))?
1848*z
Suppose -3*w - 25 = 2*w. Let o be 0/((-18 - -3)/w). Let r(h) = o*h**2 + 5*h**2 + h**2 - 4*h**2. Let x(p) = 9*p. Determine r(x(z)).
162*z**2
Let q(c) = 141*c**2 - 3*c - 3. Let j be q(-1). Let n be j - (0 - 0/(-2)). Let p(o) = 141 - n - o**2. Let b(y) = 3*y. Calculate b(p(g)).
-3*g**2
Let g(u) = 2*u**2. Let i(a) = 216292537*a**2. Determine i(g(k)).
865170148*k**4
Let y(x) = 113*x. Let l(p) = 2*p - 71. Determine y(l(t)).
226*t - 8023
Let b(u) be the third derivative of 19*u**5/60 - u**3/3 - 111*u**2 - 16*u + 1. Let r(h) = 10*h - 6*h + h. Calculate b(r(m)).
475*m**2 - 2
Let o(b) be the first derivative of -b**6/360 + 29*b**3 - b**2 - 135. Let n(c) be the third derivative of o(c). Let z(j) = 144*j**2. Calculate n(z(w)).
-20736*w**4
Let y(k) = 3*k - 3*k + 2*k. Let p(a) = 315*a. Let c(d) = -135419*d. Let w(s) = 4*c(s) + 1719*p(s). What is w(y(o))?
-382*o
Let o(h) = -4*h**2. Suppose -2*z + 27 = -3*r, r + 16 = z + 4. Let d(j) = -180*j + 1644. Let i be d(9). Let f(c) = 7*c - 4*c + z*c - i*c. Give f(o(u)).
48*u**2
Let z(h) = -87294291*h**2. Let v(t) = t**2. Calculate z(v(j)).
-87294291*j**4
Let g(l) = -2*l - 49. Let p(t) = -t - 8. Let x(z) = g(z) - 6*p(z). Let y(f) = 3*f**2. Determine x(y(j)).
12*j**2 - 1
Let a(r) = 4 - 10 + 18 + 3*r - 5 - 1. Let g(b) = 8*b**2. Determine g(a(p)).
72*p**2 + 288*p + 288
Let d(l) be the second derivative of -l**5/60 + 31*l**3/3 - 31*l. Let z(u) be the second derivative of d(u). Let s(t) = -24*t. Give z(s(f)).
48*f
Let p(r) = -r**2 - 2*r**2 + 2*r**2 - 3*r**2. Let h(g) = -23*g**2 + 6. Let k(a) = -30*a**2 + 7. Let x(n) = -6*h(n) + 5*k(n). Determine p(x(y)).
-576*y**4 - 96*y**2 - 4
Let i(s) = -150*s**2. Let l(w) = 1 - 2146161*w**2 + 2146165*w**2 - 14. Calculate l(i(g)).
90000*g**4 - 13
Let r(m) = -3*m**2. Let v(z) = 107671360*z. Determine r(v(x)).
-34779365292748800*x**2
Let x be ((-42)/(-8))/(-4 + (-70)/(-16)). Suppose 22 = 3*y - x. Let i(p) = -2*p + 21*p - y*p. Let b(j) = -2*j**2. What is i(b(l))?
-14*l**2
Let j(x) = -62*x - 16*x + 8*x + 103*x. Let a(o) be the third derivative of o**5/30 + o**2. Calculate a(j(m)).
2178*m**2
Let h(m) = 55*m - 11. Let k(p) = 14*p - 3. Suppose 4*q - 7*q - 3 = 0. Let j = q + 4. Let x(g) = j*h(g) - 11*k(g). Let l(f) = f. Give l(x(t)).
11*t
Let w(b) = -2493*b. Let r(m) be the third derivative of -m**4/24 + 2*m**2 + 377. What is r(w(c))?
2493*c
Let q(z) = 14*z. Let b(c) = 1025837*c. What is q(b(i))?
14361718*i
Let j(t) be the first derivative of 5*t**2/2 - 29664. Let p(l) = l**2 - 1. Let n(i) = -10*i**2 + 8. Let q(d) = -n(d) - 8*p(d). Determine q(j(h)).
50*h**2
Suppose -5*w + 3*d - 7 + 29 = 0, 4*w - 3*d - 20 = 0. Let y(h) = 3103*h**2 - 1591*h**2 - 1595*h**w. Let z(q) = -2*q. Give z(y(g)).
166*g**2
Let p(u) be the first derivative of 22 + 0*u**2 + 1/3*u**3 + 15*u. Let s(z) be the first derivative of p(z). Let v(h) = 19*h**2 + h. Give s(v(j)).
38*j**2 + 2*j
Let l(a) = -114*a. Let w(z) = -48*z**2 - 4*z - 3. Let c(p) = -49*p**2 - 5*p - 4. Let k(t) = 4*c(t) - 5*w(t). Give l(k(d)).
-5016*d**2 + 114
Let q(y) be the second derivative of -y - 25*y**2 + 1/3*y**3 + 36. Let i(j) = 2*j**2. Calculate q(i(l)).
4*l**2 - 50
Let u(v) = -33*v. Let d(z) = -100477*z**2 + 200950*z**2 - 100478*z**2. Give d(u(n)).
-5445*n**2
Let y(a) = -2*a. Let h(v) = 8*v + 6. Let w(g) = 65*g + 50. Let b(n) = 50*h(n) - 6*w(n). Let d(k) = -b(k) - 4*y(k). Let l(j) = -2*j - 2*j - 4*j. What is d(l(s))?
16*s
Let j(z) = 660*z**2. Let g(l) = 16*l**2 - 42*l**2 + 14*l**2 + 11*l**2. Calculate g(j(d)).
-435600*d**4
Let y(c) = -11 - 17 + 27. Let q(u) = 2*u + 2. Let a(r) = -q(r) - 2*y(r). Let j(f) be the first derivative of 11*f**3/3 + 24. Calculate j(a(p)).
44*p**2
Let n(g) = 2*g. Let v(h) = 36*h + 962273. What is v(n(j))?
72*j + 962273
Let j(s) = 3154158*s**2. Let t(x) = 2*x**2. What is j(t(m))?
12616632*m**4
Let o(h) be the second derivative of -h**4/12 + 4*h - 526. Let p(t) = -20*t**2 + 9. What is p(o(u))?
-20*u**4 + 9
Let g(p) = 10*p**2 + 1. Let m(d) be the second derivative of 5*d**3/6 + 2*d**2 - 1699*d. What is g(m(c))?
250*c**2 + 400*c + 161
Let c(w) be the first derivative of -527*w**2/2 - 2248. Let d(b) = 3*b**2. Give d(c(p)).
833187*p**2
Let z(s) be the first derivative of -940*s**2 - 2238. Let q(o) = 2*o**2. Calculate z(q(x)).
-3760*x**2
Let m(a) be the first derivative of 5*a**2/2 - 263. Let w(v) = -12*v. Calculate m(w(l)).
-60*l
Let i(n) = 2*n. Let m(o) = -3*o + 4184316. Give i(m(k)).
-6*k + 8368632
Let t(b) = 9*b. Let a(o) = 2*o**2 - o - 15. Let c be a(-5). Let j(n) = -n**2 - 18*n - 41. Let g be j(-9). Let z(x) = g*x - 81*x + c*x. Give t(z(i)).
-9*i
Let w(r) = 150*r + 4. Let c(y) = -224*y - 3. Let s(p) = -2*c(p) - 3*w(p). Let z(a) = -6*a**2. Calculate s(z(v)).
12*v**2 - 6
Let h(p) = 1958520 | {
"pile_set_name": "DM Mathematics"
} |
7. Let g(r) be the first derivative of u(r). What is the third derivative of g(o) wrt o?
84
What is the second derivative of -1341*a**5 - 67*a + 682*a**5 + 564*a**5 wrt a?
-1900*a**3
Let m = -25 + 110. Find the second derivative of -m*y + 45*y + 4*y**3 + 52*y wrt y.
24*y
Let y be (-2)/(-4)*(3 - 3). Let o = 2 - y. Find the third derivative of 6*v**3 + 3*v**3 + 2*v**o - 5*v**3 wrt v.
24
Suppose -25 = -2*l + 5*v, 0 = -4*l - 0*l + 4*v + 32. Find the second derivative of 14*d + 9*d**5 - d**l + 6*d wrt d.
160*d**3
Let p(h) be the first derivative of -7*h**4/4 - h**2/2 - 12*h - 195. Differentiate p(m) with respect to m.
-21*m**2 - 1
Find the second derivative of -38*l**2 + 317*l**2 - 263*l + 6 - 13*l**2 - 6 wrt l.
532
Let y(j) be the first derivative of 11 + 24*j + 1/2*j**2. What is the first derivative of y(u) wrt u?
1
Let f(a) be the second derivative of -151*a**6/10 - a**3/6 - 172*a**2 + 100*a - 1. What is the second derivative of f(i) wrt i?
-5436*i**2
Let j(k) be the third derivative of 2*k**5/15 + 59*k**3/6 - k**2 - 18*k. What is the derivative of j(v) wrt v?
16*v
Let m(v) = -v**2 + 1. Let w = -18 + 28. Let d(s) = 6 - w - s**3 - s**2 + 10*s**2. Let g(x) = -d(x) - 4*m(x). Find the third derivative of g(r) wrt r.
6
Let k be (9/(-2))/(-3)*6/9. What is the derivative of 3*a**3 - 5 - k - 12*a**3 - 15*a**3 wrt a?
-72*a**2
Suppose -71 = o - 71. Let p(m) be the first derivative of 0*m + 0*m**4 + 5/6*m**6 + 0*m**5 + o*m**2 - 7/3*m**3 + 3. Find the third derivative of p(c) wrt c.
300*c**2
Let d(s) = 42*s**3 - 8*s**2 - 4*s + 68. Let j(l) = l**3 + 2*l**2 + l - 1. Let a(f) = -d(f) - 4*j(f). Differentiate a(o) with respect to o.
-138*o**2
Let i(c) = 34*c + 2. Let k(z) = 13*z + 9 + 102*z + 20*z. Let l(u) = 15*i(u) - 4*k(u). What is the first derivative of l(q) wrt q?
-30
Let a be 4/((11 - 1)/5). What is the second derivative of -19*r - 8*r**5 - 10*r**a + 10*r**2 - 8*r**5 wrt r?
-320*r**3
Let z(t) be the third derivative of -t**6/30 + 5*t**5/12 - 25*t**3/6 - 6*t**2. Find the first derivative of z(m) wrt m.
-12*m**2 + 50*m
Suppose 0 = g - n - 6, g - n = n + 8. Find the second derivative of 472*t**g - 503*t**4 + 11*t + 5*t wrt t.
-372*t**2
Let d(h) be the first derivative of 7*h**2 + h**3 + 2*h**3 + 0*h**3 - 9 + 0*h**3. Find the second derivative of d(p) wrt p.
18
Let u(d) be the third derivative of 91*d**5/12 + 159*d**3 + 2*d**2 - 159*d. What is the first derivative of u(v) wrt v?
910*v
Let h(z) = z + 47 - 22*z - 38. Let n(f) = 31*f - 14. Let y(t) = 8*h(t) + 5*n(t). What is the derivative of y(b) wrt b?
-13
Let x(b) be the first derivative of b**6/5 - 16*b**3/3 - b + 12. Let n(m) be the first derivative of x(m). What is the second derivative of n(y) wrt y?
72*y**2
Let i(f) = 199*f**4 + 6*f**3 - 141*f. Let q(m) = 399*m**4 + 13*m**3 - 281*m. Let z(l) = -13*i(l) + 6*q(l). What is the second derivative of z(g) wrt g?
-2316*g**2
Let y be (-56)/(-12) + 2/(-3). Let l = 1 + y. What is the third derivative of 2*t**3 + 3*t**3 - 2*t**2 - l*t**2 wrt t?
30
Let v(i) be the third derivative of 0*i**5 + 0*i**7 + 0*i**3 + 0 - 13/168*i**8 + 0*i**6 + 3/4*i**4 + 0*i + 25*i**2. Find the second derivative of v(o) wrt o.
-520*o**3
Suppose 14*t - m = 9*t, 0 = 5*t + 2*m. Let v(x) be the second derivative of 5/12*x**4 + 4*x - 1/3*x**3 + t*x**2 + 0. Find the second derivative of v(k) wrt k.
10
Let m(j) be the first derivative of 7*j**4/4 + 8*j**2 + 26*j + 24. Let v(b) be the first derivative of m(b). Differentiate v(q) with respect to q.
42*q
Let s(i) = 531*i**4 + 5*i**3 + 5*i**2 + 550. Let d(v) = -797*v**4 - 7*v**3 - 7*v**2 - 825. Let q(p) = 5*d(p) + 7*s(p). Differentiate q(g) with respect to g.
-1072*g**3
Let y(b) = -b**4 - 2*b**3 - 2*b**2 + b + 1. Let a(t) = 7*t**4 - 8*t**3 + 9*t**2 - 348*t - 4. Let r(o) = a(o) + 4*y(o). Find the third derivative of r(n) wrt n.
72*n - 96
Let h = -6 + 6. Find the second derivative of -n**5 + h*n**5 + 28*n - 14*n wrt n.
-20*n**3
Let m(z) be the second derivative of z**9/168 + z**6/18 - 13*z**3/6 + 16*z. Let t(r) be the second derivative of m(r). Find the third derivative of t(i) wrt i.
1080*i**2
Let c be 5/10 + 23/2. What is the second derivative of -21*g + 1461 + c*g**3 - 1461 wrt g?
72*g
Let k(b) be the first derivative of b**8/28 + 5*b**4/6 + 15*b + 6. Let a(s) be the first derivative of k(s). Find the third derivative of a(v) wrt v.
240*v**3
Let d(i) = 20*i**3 + i - 2. Let a be d(1). What is the second derivative of f**4 - a*f**4 + 2*f**4 + 9*f + 2*f wrt f?
-192*f**2
Let q(k) be the third derivative of k**7/180 + k**6/240 - 4*k**5/15 - 29*k**2. Let c(f) be the third derivative of q(f). Differentiate c(j) with respect to j.
28
Let i(u) = u + 16. Let b be i(-5). What is the third derivative of -9*f**3 - 4*f - b*f**3 - 27*f**2 + 4*f wrt f?
-120
Let d(n) be the third derivative of -179*n**9/504 + 59*n**5/12 + 2*n**2 + 10. Find the third derivative of d(f) wrt f.
-21480*f**3
Suppose 0 = x + x - 6. Differentiate 209 + 10*j**x - 7*j**3 + 16*j**3 - 208 wrt j.
57*j**2
Suppose 12 = -f + 4*f. Let c be (2 + 1)/((-177)/(-118)). Differentiate -6 + m**2 - 2*m**c - 3*m**2 - f*m**2 with respect to m.
-16*m
Let s(q) be the second derivative of -3*q**5/5 - q**3/2 - 58*q**2 - 118*q. What is the first derivative of s(c) wrt c?
-36*c**2 - 3
Suppose 0 = -34*g + 30*g + 20. Find the third derivative of -4*s**4 + 6 - 5*s**2 - 1 - g wrt s.
-96*s
Suppose 13*w = 8*w. Suppose 4*r - 36 = -w*r. What is the derivative of 0 - r - 11*v**2 + 1 wrt v?
-22*v
Let f(x) = x**2 - 15*x - 30. Let n be f(17). Let a = -1 - -3. Find the second derivative of -3*s - s + 0*s + n*s**3 - a*s wrt s.
24*s
Suppose 0 = 4*j - j - 9. Suppose 6*u - u + 2*i = 11, i - 1 = -u. Find the second derivative of 2*n**j - u*n**3 - n - n wrt n.
-6*n
Suppose -18 = q + 2*u, 0 = 5*q + 6*u - u + 75. Let d be (-12)/(-2)*(-6)/q. Find the third derivative of 3*c**2 + c**2 + 2*c**6 - 7*c**6 - d*c**6 wrt c.
-960*c**3
Let m(k) be the third derivative of -k**9/84 - 2*k**5/5 - k**3/3 + 32*k**2. What is the third derivative of m(u) wrt u?
-720*u**3
Let f = 4 - 0. Suppose 129 = 20*t + 23*t. Let r(n) = -n**3 - 9*n**2. Let w(b) = 8*b**2. Let l(i) = f*w(i) + t*r(i). Find the third derivative of l(h) wrt h.
-18
Find the first derivative of 4*z - 2*z + 170 - 5*z**4 - 3*z - 7*z - 4*z wrt z.
-20*z**3 - 12
Let h = -8 - -11. Let k(z) = -2*z**4 - 2*z**3 + z + 21. Let r(t) = t**4 + 3*t**3 - 20. Let n(f) = h*k(f) + 2*r(f). Differentiate n(j) wrt j.
-16*j**3 + 3
Let z(l) = l**2 + l - 1. Let s(p) be the first derivative of 12*p**3 - p**2/2 - 5*p + 35. Let m(x) = -s(x) + 5*z(x). Find the second derivative of m(d) wrt d.
-62
Let d be -1 + (3 + -3 - 1). Let n = 2 - d. Find the first derivative of -2 - 6*x**4 + 3*x**4 - 2*x**n - 4 wrt x.
-20*x**3
Let l(a) = 3*a - 6. Let g be l(5). Let s be g + -2 + 2 + 3. Find the first derivative of -10 - 4*q - 5 + s wrt q.
-4
Let c = 2363/10 + -236. Let f(b) be the second derivative of c*b**5 - b + 0 + 1/6*b**4 + 0*b**3 + 0*b**2. Find the third derivative of f(x) wrt x.
36
What is the third derivative of -151*r**5 + r**2 + 3*r - 89*r - 3*r**2 - 57*r wrt r?
-9060*r**2
Suppose -106 = r - 109. What is the third derivative of -548*u + 7*u**4 + 548*u - r*u**2 wrt u?
168*u
Suppose -d = -k - 7, -11 = 5*k - 1. What is the second derivative of g**3 - d*g - g**3 - g**5 + 4*g**5 wrt g?
60*g**3
Find the second derivative of -39*v**2 + 26*v**5 - 126*v - 39*v**5 + 10*v**5 wrt v.
-60*v**3 - 78
Let k(o) be the second derivative of o**3 + 31*o**2 + 135*o. Differentiate k(y) wrt y.
6
Let i(a) be the second derivative of -875*a**3/6 + 193*a**2/2 + 429*a. Differentiate i(c) with respect to c.
-875
Let o(d) be the first derivative of d**5/4 - 3*d**3 - 5*d**2/2 + 16. Let w(r) be the second derivative of o(r). What is the derivative of w(b) wrt b?
30*b
Let h(p) = -427*p**2 + 5*p - 337. Let w(i) = 854*i**2 - 9*i + 674. Let k(u) = 7*h(u) + 4*w(u). Find the second derivative of k(v) wrt v.
854
Let p(h) be the second derivative of 5*h**8/56 - h**5/2 + 143*h**4/12 - 22*h + 3. What is the third derivative of p(o) wrt o?
600*o**3 - 60
Let f(r) be the third derivative of -17*r**9/504 + 2*r**5/15 - 3*r**4/8 - 4*r**2 + 24. What is the third derivative of f(w) wrt w?
-2040*w**3
Let j(l) be the second derivative of 3*l**5/20 - 7*l**4/12 - 37*l | {
"pile_set_name": "DM Mathematics"
} |
168
What is -44480 rounded to the nearest 1000?
-44000
Round -0.008371 to three dps.
-0.008
Round 0.000016681 to 6 decimal places.
0.000017
Round -0.002658 to 3 dps.
-0.003
What is 2891 rounded to the nearest one hundred?
2900
Round 0.014737 to three dps.
0.015
Round -0.002214 to 3 decimal places.
-0.002
What is -1090.6 rounded to the nearest 10?
-1090
What is 0.07977 rounded to two decimal places?
0.08
Round 0.00073976 to 5 decimal places.
0.00074
What is 47330 rounded to the nearest 1000?
47000
Round -74 to the nearest ten.
-70
Round -358220000 to the nearest 1000000.
-358000000
What is 11.05 rounded to the nearest integer?
11
What is 2327000 rounded to the nearest 100000?
2300000
Round 76540 to the nearest 1000.
77000
Round -0.000038369 to six decimal places.
-0.000038
Round 612000 to the nearest 100000.
600000
Round 3748.78 to the nearest 10.
3750
What is -884 rounded to the nearest one hundred?
-900
Round -372800 to the nearest 100000.
-400000
Round -1329.19 to the nearest 100.
-1300
What is 0.4535 rounded to two decimal places?
0.45
What is 0.00000481 rounded to six decimal places?
0.000005
What is 93500 rounded to the nearest ten thousand?
90000
Round -0.03824 to three decimal places.
-0.038
What is -0.000002227 rounded to seven decimal places?
-0.0000022
What is 14988000 rounded to the nearest one million?
15000000
Round -9485.6 to the nearest 10.
-9490
Round -1437200 to the nearest one million.
-1000000
Round -3328 to the nearest one hundred.
-3300
What is 6.31206 rounded to 1 decimal place?
6.3
Round 484.38 to the nearest one hundred.
500
What is -0.040011 rounded to 3 dps?
-0.04
Round 21.34 to the nearest integer.
21
Round 0.00143 to four decimal places.
0.0014
What is -285.5 rounded to the nearest 10?
-290
Round -211.56 to the nearest one hundred.
-200
Round -183.25 to the nearest 10.
-180
Round 387.516 to the nearest integer.
388
Round -0.01784 to three decimal places.
-0.018
Round 56.08 to the nearest 10.
60
Round 0.00048898 to 4 dps.
0.0005
Round -0.0000006448 to 7 dps.
-0.0000006
What is -2170240 rounded to the nearest 100000?
-2200000
What is -34.067 rounded to one decimal place?
-34.1
What is 2183 rounded to the nearest 1000?
2000
Round 2.5183 to 2 dps.
2.52
What is 96200 rounded to the nearest 100?
96200
Round 357.847 to the nearest ten.
360
What is -558.4 rounded to the nearest ten?
-560
What is 284000 rounded to the nearest one hundred thousand?
300000
Round 0.00777 to 3 decimal places.
0.008
What is 0.121349 rounded to 2 dps?
0.12
Round 0.000021385 to 7 dps.
0.0000214
Round -8.6144 to 2 decimal places.
-8.61
Round -0.0013016 to four dps.
-0.0013
Round 5.5159 to the nearest integer.
6
What is -0.001199 rounded to four dps?
-0.0012
What is 0.64517 rounded to one decimal place?
0.6
What is -19.939 rounded to the nearest integer?
-20
What is 8650 rounded to the nearest 1000?
9000
Round -351789000 to the nearest one million.
-352000000
What is 0.2166 rounded to two decimal places?
0.22
What is 36967000 rounded to the nearest 1000000?
37000000
What is 3570160 rounded to the nearest ten thousand?
3570000
Round 0.0020347 to 4 dps.
0.002
What is 30.417 rounded to the nearest integer?
30
Round -0.022609 to one decimal place.
0
What is 0.00005432 rounded to 6 dps?
0.000054
What is 260000 rounded to the nearest 10000?
260000
Round -15170 to the nearest one thousand.
-15000
Round 352.5 to the nearest 10.
350
Round -16815 to the nearest one thousand.
-17000
What is 0.4841 rounded to 2 decimal places?
0.48
What is -136450 rounded to the nearest 10000?
-140000
Round 0.006394 to 4 decimal places.
0.0064
Round 441 to the nearest integer.
441
Round 643620000 to the nearest one million.
644000000
Round -0.00301 to 3 dps.
-0.003
What is 0.3501 rounded to two dps?
0.35
What is 0.539 rounded to one decimal place?
0.5
What is -0.005868 rounded to 4 dps?
-0.0059
What is -9.76 rounded to 0 dps?
-10
Round 2497000 to the nearest one hundred thousand.
2500000
What is -2.7798 rounded to 1 dp?
-2.8
What is 0.00000065005 rounded to seven decimal places?
0.0000007
Round 468.53 to the nearest 100.
500
Round -36.636 to one decimal place.
-36.6
What is -37.687 rounded to 1 decimal place?
-37.7
Round 374.9 to the nearest 100.
400
Round -0.05654 to three decimal places.
-0.057
What is 0.00006984 rounded to 6 dps?
0.00007
Round -0.003558 to 4 dps.
-0.0036
What is 0.000084448 rounded to five dps?
0.00008
What is 9192 rounded to the nearest 10?
9190
What is 0.00009483 rounded to 5 dps?
0.00009
Round 715.23 to the nearest one hundred.
700
What is -0.0000234 rounded to five decimal places?
-0.00002
What is -0.00878 rounded to three dps?
-0.009
Round 0.00042356 to four decimal places.
0.0004
What is 18040 rounded to the nearest one thousand?
18000
Round -2677700 to the nearest one hundred thousand.
-2700000
What is -1920300 rounded to the nearest one hundred thousand?
-1900000
Round -28990000 to the nearest 1000000.
-29000000
Round 1.0213 to two dps.
1.02
Round 0.0006 to 4 dps.
0.0006
What is -0.06713 rounded to 2 dps?
-0.07
Round 0.0006756 to four decimal places.
0.0007
Round -18.559 to one dp.
-18.6
What is 44400 rounded to the nearest 10000?
40000
What is 0.00000034561 rounded to 7 dps?
0.0000003
What is 90 rounded to the nearest 1000?
0
What is 1330.2 rounded to the nearest one hundred?
1300
Round 0.0001288 to four dps.
0.0001
What is -0.00489 rounded to three dps?
-0.005
Round -8.104 to the nearest integer.
-8
What is 25.984 rounded to zero decimal places?
26
What is 289492 rounded to the nearest 1000?
289000
Round 85.5 to zero decimal places.
86
Round 0.02443 to two dps.
0.02
Round 7.095 to 1 decimal place.
7.1
Round 0.00016145 to 5 decimal places.
0.00016
What is -28010000 rounded to the nearest one million?
-28000000
What is -9458 rounded to the nearest 100?
-9500
What is -14010 rounded to the nearest one thousand?
-14000
Round -115554 to the nearest ten thousand.
-120000
What is 77770 rounded to the nearest 10000?
80000
Round -0.694 to one decimal place.
-0.7
Round 0.0004661 to 4 dps.
0.0005
Round -0.000004005 to seven dps.
-0.000004
What is -3090 rounded to the nearest one thousand?
-3000
What is -0.32637 rounded to three decimal places?
-0.326
What is -0.027616 rounded to 2 decimal places?
-0.03
Round 47.44 to the nearest ten.
50
What is 1057.5 rounded to the nearest one hundred?
1100
What is -1906690 rounded to the nearest ten thousand?
-1910000
Round 0.00162192 to five dps.
0.00162
Round 0.03027 to two decimal places.
0.03
What is 0.119697 rounded to 2 decimal places?
0.12
What is -0.00000197756 rounded to seven dps?
-0.000002
What is -46590000 rounded to the nearest one million?
-47000000
What is 0.000026981 rounded to 7 decimal places?
0.000027
What is -0.000059 rounded to four dps?
-0.0001
What is 0.000003658 rounded to seven dps?
0.0000037
Round -0.00069734 to four decimal places.
-0.0007
What is 0.000001199 rounded to six dps?
0.000001
Round -1390900 to the nearest one hundred thousand.
-1400000
What is -0.0005888 rounded to 4 dps?
-0.0006
Round 9991 to the nearest 100.
10000
Round -8538 to the nearest 100.
-8500
What is -25444 rounded to the nearest 100?
-25400
What is 0.01997 rounded to 3 dps?
0.02
Round -0.16604 to two decimal places.
-0.17
Round -3488.6 to the nearest 10.
-3490
What is 0.00000342 rounded to 7 decimal places?
0.0000034
What is -1.27 rounded to two decimal places?
-1.27
Round -574570 to the nearest 100000.
-600000
Round 0.017337 to 3 decimal places.
0.017
Round 33.424 to the nearest integer.
33
What is 0.00000303 rounded to six decimal places?
0.000003
Round 0.00508 to three decimal places.
0.005
Round -0.0000009457 to seven dps.
-0.0000009
What is 121200 rounded to the nearest ten thousand?
120000
Round -0.001429 to 4 dps.
-0.0014
What is 0.0005372 rounded to 5 dps?
0.00054
Round 0.8179 to one decimal place.
0.8
What is -0.00001866 rounded to 6 decimal places?
-0.000019
What is 0.002199 rounded to 5 dps?
0.0022
Round 294300 to the nearest one thousand.
294000
Round 214.3 to the nearest ten.
210
Round -3636900 to the nearest 100000.
-3600000
Round 0.0064887 to four dps.
0.0065
Round 0.00001755 to 6 dps.
0.000018
What is -124.3 rounded to the nearest 100?
-100
What is 0.00004524 rounded to six dps?
0.000045
Round -0.0032758 | {
"pile_set_name": "DM Mathematics"
} |
10*n - 248 - 14*n + 8*n + 70 - 4*n as l + i*n and give l.
-178
Express (814 + 270 + 778)*(-8 + 8 + 3*n) in the form a + g*n and give g.
5586
Rearrange (-5 - 1 + 4)*(16 - 10 + 43)*(-45 + 101 - 4*b - 53) to u + p*b and give p.
392
Rearrange 12*x + 10 - 15 - 14*x + 173 to l*x + u and give l.
-2
Rearrange 113*z**3 - 14 + z - 10*z**2 + 11*z**2 - 112*z**3 + 17 - 1276*z**4 to g*z + n*z**2 + i + b*z**4 + t*z**3 and give n.
1
Express -v**2 - v + v + (-14 + 8 + 12)*(41*v**2 - 91*v**2 - 41*v**2) in the form o*v**2 + w*v + j and give j.
0
Express (5 - 1 - 3)*(-8 + 11 + 0 + 26681*g - 3) as a + z*g and give z.
26681
Express -7 - 621*k - 13*k**2 + 260*k + 362*k in the form h + x*k**2 + f*k and give f.
1
Express (9 - 5 - 9)*(9*c - 40*c - 4*c)*(-11 - 7 + 10) in the form d*c + w and give d.
-1400
Express 39*v - 12*v - 17*v - 9*v - 10 + 11*v**2 - 1 in the form c*v**2 + d*v + h and give d.
1
Express 0*l + 4*l - 3*l + (0 + 3 - 1)*(-2*l + 0 + 0) + 826 + 1067*l - 826 - 5*l - l + 4*l as m*l + b and give m.
1062
Express 30*s + 5*s**4 + 5*s**2 + 99*s + 3*s**2 - 7*s**2 - s**4 as m*s**3 + v + d*s**4 + f*s + r*s**2 and give f.
129
Express (-2*t + 208 - 325 - 123)*(4*t + 0*t - 4 - 3*t) as j*t**2 + b + a*t and give b.
960
Express 4*u**2 - 3*u**2 + 438*u - 694 - 3*u**2 + u**3 + 694 as b*u**2 + q + d*u**3 + x*u and give x.
438
Rearrange 18*x + 4*x + 2*x - 31*x + 3*x**2 + 10*x + 10 - 2*x**3 to the form q*x**3 + p*x**2 + r*x + m and give m.
10
Express (2*a**3 - 3 + 3)*(-6*a - 20183 - 20191 + 40459) as l*a**3 + m*a**4 + c + j*a + n*a**2 and give l.
170
Express 22*f + 51*f**2 + 77*f**2 + 6*f - 6*f - 25*f**2 in the form v + i*f + l*f**2 and give l.
103
Express 793*k**2 + 8*k**3 - 389*k**2 + 3*k - 411*k**2 + 2 as m + g*k**3 + w*k + j*k**2 and give j.
-7
Express 7*y**2 - 5 + 5 + (0*y + 0*y - 2*y)*(-y + 2*y + y) + y**2 + 3*y**2 - 5*y**2 + (6 - 6 - 5*y)*(-11*y + 4*y - 6*y) in the form v*y**2 + g*y + l and give l.
0
Rearrange (-j - j + j)*(75 - 1201758*j - 1201783*j + 2403691*j) to v + i*j + a*j**2 and give i.
-75
Rearrange -2*w**3 - 3*w + 3*w + (-30*w**2 + 443*w - 443*w)*(-1 + 1 + 5*w) to j*w**2 + t + o*w + g*w**3 and give g.
-152
Express -2430*m**2 - 7005*m**2 - 9*m**3 - 4827*m**2 + 10*m**3 in the form y + t*m**2 + o*m + i*m**3 and give i.
1
Rearrange 11*j + 38787*j**3 - 9 - 38788*j**3 - 149 - 139 to the form z*j**2 + f*j + t + c*j**3 and give c.
-1
Express (-32*h - 28*h + 3*h)*(5 - 9 - 17)*(28 - 1 - 12) in the form q + o*h and give o.
17955
Express 19*p**2 - 102*p + 1248*p - 12*p**2 - 8*p**2 + 535*p in the form k*p + g + d*p**2 and give k.
1681
Rearrange (-30*o**2 + 7*o + 17*o - 22*o)*(3 - 20 - 21)*(0*o - 4 + 4*o - 5*o) to r*o + v*o**3 + l + c*o**2 and give c.
-4484
Rearrange -30*i**2 - 17*i**3 + 22*i**3 + 6*i - 8*i + 0 + 2 - 9*i**2 - 4*i**4 to p*i**4 + f*i**2 + n*i**3 + s*i + k and give s.
-2
Rearrange -2*o - 1645 + 1625 - 2949 + 4*o to the form z + d*o and give d.
2
Rearrange (3*m**4 + 5*m**4 + 0*m**4)*(-82 + 106 + 653) to the form s*m**3 + c*m + h + o*m**4 + y*m**2 and give o.
5416
Rearrange (54*p - 15*p + 0*p)*(-2 + 6 + 26)*(-1 + 3 - 3) to y*p + q and give y.
-1170
Rearrange -2194270 + 1671*f + 2194270 to the form h + m*f and give m.
1671
Express (1 + 3*w - 1)*((2*w - 6*w + 5*w)*(6 + 2 - 4) - 2 + 2 - 2*w)*(-4 + 5 + 1) + 72*w**2 + 13*w**2 - 156*w**2 in the form l*w**2 + n + v*w and give l.
-59
Rearrange -16*n + 259*n**2 + 240*n**2 - 5*n - 506*n**2 to the form z + h*n**2 + m*n and give h.
-7
Rearrange (579*c - 442*c - 139*c + 2*c**2 - 1714)*(2*c - 1 + 1)*(c + 2*c - c) to the form k*c**2 + d*c**3 + m*c + g + t*c**4 and give t.
8
Express -17*l**2 + 17*l**2 - 28 + 3 + 41*l - 3*l**3 + 31*l in the form s*l + c + y*l**2 + x*l**3 and give c.
-25
Rearrange -21 + 60 - 199*o + 206*o + 67 to u + y*o and give y.
7
Express (5*v - 5*v + 2*v)*(51*v + 644 - 644) + 0*v**2 - 2*v**2 - v**2 - 10 - 10*v**2 + 10 as t*v**2 + d*v + q and give t.
89
Rearrange -2*n**3 + n + 29 + 12*n**2 - 28 + 34 + n**4 to c*n**2 + a*n + o*n**4 + g*n**3 + j and give c.
12
Express -151 + 327 + 71*v**2 - 199 as s + g*v**2 + o*v and give s.
-23
Rearrange (-37479 - 335*t**2 + 1063*t**2 + 37479)*(-54*t - 22*t + 98*t) to r*t + h*t**2 + x*t**3 + b and give x.
16016
Express (-4*p**3 + 4*p**3 + 2*p**3)*(4*p + 8 - 8) - 1328*p**4 + 2657*p**4 - 67 - 1326*p**4 as o*p**2 + k + h*p**4 + v*p**3 + t*p and give k.
-67
Rearrange -229*q - 215*q + 676*q + 12223*q**2 - 232*q to a*q + g*q**2 + t and give g.
12223
Express -1794*j + 1274*j - 3391*j + (-2*j + 4*j - j)*(-4 - 3 + 5) + j - 2*j - j - 2*j + 0 + 0 - 5*j - 2*j + 4*j in the form k*j + z and give k.
-3920
Rearrange -4*m - 3*m**2 + 127004 - 253972 + 127006 to a*m + l*m**2 + t and give t.
38
Rearrange 1334*p + 23 + 21*p**4 - 1334*p + (p**3 + 0*p**2 + 0*p**2)*(-1 + 1 - 2*p) + 2*p**4 + 0*p**4 - p**4 to b*p**3 + r + l*p + z*p**2 + q*p**4 and give q.
20
Rearrange (27*m**3 + 108 - 108)*(3 + 2 - 3) + 2*m**3 - 753 - 9*m + 753 - 2*m**2 to h*m**3 + q*m**2 + w + n*m and give n.
-9
Rearrange -2 - 34*m**2 + 36*m**2 - 40*m**4 - 955*m**3 + 39*m**4 to the form r*m + j*m**3 + v*m**4 + q*m**2 + n and give j.
-955
Rearrange -7*i**3 + 608 - 609 - 23*i + 6*i**3 + 2*i**3 + 72*i**2 to r + z*i + f*i**3 + m*i**2 and give z.
-23
Rearrange -3*c + 4*c + c + (2*c - 3*c - c)*(-2 + 3 - 2) + 0 + 0 - c + 0*c + 2*c + c - 249 + 146*c + 137 + 148 - 20 to the form t*c + g and give t.
152
Rearrange 2*s**2 - 120*s**3 - s**4 - s**4 - 123*s**3 - 454 + 242*s**3 to y*s + w*s**2 + t + f*s**3 + k*s**4 and give f.
-1
Express (0 + 0 - 6)*(-72*j**2 + 108*j**2 + 107*j**2) in the form t*j**2 + g*j + b and give t.
-858
Express -1 + 165*q + 1 + 6636*q + 62*q as x*q + v and give x.
6863
Express 1596*t**2 - 9 - 1595*t**2 + 9 + 7 + 161*t**3 in the form u + x*t**2 + d*t**3 + f*t and give u.
7
Rearrange -3*r**3 + 28*r - 7 + 2*r**4 + 9*r**3 + 6*r**3 + 32*r - 59*r to f*r**2 + u*r**4 + v + q*r + a*r**3 and give a.
12
Rearrange 4056*m + 6725*m - 2703*m to the form c*m + r and give c.
8078
Rearrange (2*j + 0*j - 3*j)*(-2*j + 4 - 4) + 4*j**2 + j**2 - 2*j**2 + 4*j**2 - 4*j**2 + j**2 + 1982*j**2 + 1989*j**2 - 3999*j**2 to a + r*j + b*j**2 and give b.
-22
Express (-489*i**2 - 87*i**2 - 152*i**2)*(5 - 5 + i)*(1 + 3 - 1) as r*i**3 + o*i**2 + m + a*i and give r.
-2184
Rearrange 58 - 74 - 5 - 327 - 4*a - 459 to the form q + b*a and give b.
-4
Express (0*q + 5*q - 2*q)*(-4 + 2*q + 4) - 383*q**2 - 633*q**2 - 200*q**2 as s*q + t + c*q**2 and give c.
-1210
Express 184*q + 2 - 179*q + 4 - 32*q**2 - 90*q**2 in the form s*q + r + o*q**2 and give s.
5
Rearrange (-24850*s**2 - 92*s**3 + 24850*s**2)*(8*s + 2*s - 3*s) to u*s + y*s**3 + t*s**4 + n*s**2 + o and give t.
-644
Express (-2*j**2 - 2*j + 2*j)*(1 + 0 + 0) + (0*j - j + 4*j)*(-118 + 59 + 199)*(2*j + 3*j - 3*j) as n*j**2 + t*j + z and give n.
838
Express -49*u + 106*u**2 + 47*u - 85*u**2 - 2*u**3 - 23*u**2 + 689 in the form j + p*u**3 + h*u**2 + w*u and give j.
689
Rearrange (16 + 1 - 5)*(-3*o - 3*o + 4*o)*(282 - 116 + 540 + 45) to l + w*o and give w.
-18024
Rearrange 806 + 33*j**2 - 2*j - 97 + 31*j**2 + 224 - 62*j**2 to the form q*j**2 + y*j + w and give q.
2
Express (4 + 3 - 6)*(3*a + 2*a - 3*a) - 424*a - 92359 + 92359 - 3*a + a + 0*a + (a - 1 + 1)*(-4 + 2 + 3) + 2*a + a - a + 4*a + a + 5*a as f + m*a and give m.
-411
Express -4075*t**2 - 4343*t**2 + 7152*t**2 as q + o*t**2 + i*t and give o.
-1266
Rearrange 112145*y**3 + 112142*y**3 + 2 - 224289*y**3 + 21*y to s*y**3 + l*y + i*y**2 + f and give f.
2
Rearrange 2*n**3 + 3*n - 3*n + (2*n**2 - 3*n + 3*n)*(960807*n + 12 - 960867*n + 34) to the form x*n + k*n**3 + i + q*n**2 and give q.
92
Rearrange 6047*t**2 - 32139*t**2 - 6141*t**2 - 6525*t**2 to k + q*t**2 + m*t and give q.
-38758
Express (-5 - 4*q + 5)*(1 - 11*q - 1) + (1 - 1 + 2*q**2)*(-4 - 1 + 0) + q**2 + q**2 - 3*q**2 in the form n*q**2 + f*q + l and give l.
0
Express (2*i**3 + 12*i**3 + 25*i**3)*(19*i + 6*i + 21*i) - i**2 + 0*i**2 + 0*i**2 - i**4 as l + t*i**3 + u*i**4 + k*i**2 + q*i and give k.
-1
Rearrange 536*j**4 + 1981 + 3*j - j**3 - 3*j - 537*j**4 to the form q*j**2 + o*j**4 + x*j**3 + w + t*j and give w.
1981
Express (3*k + 5*k - 4*k)*(-5 + 5 - 45*k)*(12 + 26 - 8) in the form v*k**2 + a*k + q and give v.
-5400
Express -461 + 84*p + 461 - 2*p - 15*p + 2*p + p - 3 + 3 - 2*p + 3*p + 0*p + (-4 + 4 + 2*p) | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from bbllbxbllxllllxhbb.
5/102
Four letters picked without replacement from ffefqqjqjfawwfjqqwwf. Give prob of sequence fjqa.
1/1292
Four letters picked without replacement from wiirrlywyrixy. Give prob of sequence yrrr.
3/2860
What is prob of sequence wpwa when four letters picked without replacement from {w: 6, a: 4, x: 2, k: 1, p: 3}?
3/364
Calculate prob of sequence zf when two letters picked without replacement from fozrfzfzjzrjff.
10/91
Two letters picked without replacement from {y: 2, q: 3, p: 7, z: 4, b: 2}. Give prob of sequence qq.
1/51
Four letters picked without replacement from {r: 1, v: 2, y: 1, m: 3, z: 3, l: 3}. What is prob of sequence lvzz?
3/1430
Three letters picked without replacement from {u: 2, q: 3, k: 3}. What is prob of sequence quk?
3/56
Two letters picked without replacement from lfrtgfuluuf. What is prob of sequence rf?
3/110
Four letters picked without replacement from nvisininaainawnvaia. Give prob of sequence isaw.
25/93024
What is prob of sequence pppc when four letters picked without replacement from cmppccmcmzp?
1/330
What is prob of sequence ya when two letters picked without replacement from dyudioodyiiiaydyudd?
2/171
What is prob of sequence jada when four letters picked without replacement from {a: 2, d: 2, j: 2}?
1/45
Calculate prob of sequence fixi when four letters picked without replacement from {f: 1, i: 3, h: 1, x: 7}.
7/1980
Two letters picked without replacement from {n: 5, p: 11, d: 2, x: 2}. What is prob of sequence pn?
11/76
Four letters picked without replacement from {l: 17, y: 1, s: 1}. Give prob of sequence lyls.
1/342
Two letters picked without replacement from {h: 2, c: 9, a: 2, b: 3}. Give prob of sequence cc.
3/10
Two letters picked without replacement from {g: 2, y: 4, b: 2, s: 8, w: 1, a: 2}. Give prob of sequence bs.
8/171
Three letters picked without replacement from {a: 3, i: 3, t: 2}. Give prob of sequence tii.
1/28
Three letters picked without replacement from rrt. Give prob of sequence rtr.
1/3
Two letters picked without replacement from {d: 2, i: 2, r: 1, s: 1, o: 1}. What is prob of sequence rd?
1/21
Calculate prob of sequence ie when two letters picked without replacement from eiiieeeeeeeeeiie.
11/48
Three letters picked without replacement from {g: 8, j: 2}. Give prob of sequence gjg.
7/45
Three letters picked without replacement from {b: 14, p: 4}. What is prob of sequence bpp?
7/204
What is prob of sequence zyzz when four letters picked without replacement from zzzrzyzyzyzryzzzrrr?
10/323
What is prob of sequence pddp when four letters picked without replacement from {d: 4, p: 7}?
7/110
Calculate prob of sequence iwiw when four letters picked without replacement from {i: 8, w: 5}.
28/429
Calculate prob of sequence grjg when four letters picked without replacement from {r: 8, o: 1, g: 4, j: 2}.
8/1365
What is prob of sequence qbtm when four letters picked without replacement from {j: 1, b: 2, t: 1, m: 1, q: 2, z: 1}?
1/420
What is prob of sequence ggsz when four letters picked without replacement from {s: 6, f: 1, z: 8, g: 2, t: 1}?
1/765
Three letters picked without replacement from gegddmegdmhhedtt. What is prob of sequence ghm?
1/280
Two letters picked without replacement from {x: 3, u: 1, b: 1}. What is prob of sequence xu?
3/20
Two letters picked without replacement from {a: 3, t: 15}. What is prob of sequence aa?
1/51
Two letters picked without replacement from yyyqqyy. Give prob of sequence yy.
10/21
Four letters picked without replacement from {e: 2, o: 1, p: 8, z: 2}. What is prob of sequence zopz?
2/2145
Calculate prob of sequence ua when two letters picked without replacement from aacaccccccmmum.
3/182
Calculate prob of sequence aa when two letters picked without replacement from {z: 2, d: 2, h: 11, a: 1}.
0
What is prob of sequence upuu when four letters picked without replacement from puppupp?
0
What is prob of sequence iw when two letters picked without replacement from owooooiooooowow?
1/70
Calculate prob of sequence dp when two letters picked without replacement from papppaeddpee.
5/66
Three letters picked without replacement from {g: 3, l: 4, u: 1, t: 1, a: 5}. What is prob of sequence lga?
5/182
Two letters picked without replacement from {u: 2, l: 1, d: 2}. What is prob of sequence uu?
1/10
Calculate prob of sequence pd when two letters picked without replacement from {a: 1, r: 1, d: 6, y: 4, p: 1}.
1/26
Two letters picked without replacement from kkmkmmwkkkkq. What is prob of sequence kk?
7/22
Calculate prob of sequence gr when two letters picked without replacement from bgruubj.
1/42
What is prob of sequence ffaa when four letters picked without replacement from afaffafaffffffaffaf?
65/1292
Calculate prob of sequence vvcv when four letters picked without replacement from {v: 17, c: 1}.
1/18
Two letters picked without replacement from mmvvvmggmmmmgg. Give prob of sequence gg.
6/91
What is prob of sequence zk when two letters picked without replacement from hzrhhhhzzhhhzhkz?
1/48
What is prob of sequence uu when two letters picked without replacement from {u: 5, d: 3}?
5/14
What is prob of sequence txjt when four letters picked without replacement from {x: 9, j: 1, t: 10}?
9/1292
Calculate prob of sequence mn when two letters picked without replacement from {n: 1, m: 3}.
1/4
Calculate prob of sequence oon when three letters picked without replacement from bwovwwnwbo.
1/360
Three letters picked without replacement from vgggirggiqi. What is prob of sequence iri?
1/165
Three letters picked without replacement from vecceecaeecvee. What is prob of sequence eae?
1/52
What is prob of sequence ppii when four letters picked without replacement from {i: 6, p: 13}?
65/1292
What is prob of sequence upu when three letters picked without replacement from {p: 4, u: 2, k: 3, g: 2, m: 1}?
1/165
Two letters picked without replacement from {k: 5, d: 1, o: 2, q: 1, a: 3, p: 1}. Give prob of sequence qa.
1/52
Calculate prob of sequence xhx when three letters picked without replacement from {x: 9, h: 2}.
8/55
Four letters picked without replacement from {t: 2, l: 18}. What is prob of sequence ltlt?
1/190
What is prob of sequence gmt when three letters picked without replacement from {m: 3, k: 1, r: 3, t: 2, f: 1, g: 3}?
3/286
What is prob of sequence xddx when four letters picked without replacement from {d: 8, x: 3}?
7/165
Two letters picked without replacement from gfmffmmmifgdfgfr. What is prob of sequence mf?
1/10
Calculate prob of sequence arjk when four letters picked without replacement from kjrha.
1/120
Calculate prob of sequence bb when two letters picked without replacement from {b: 2, s: 16}.
1/153
Three letters picked without replacement from {t: 1, y: 2, j: 5, q: 6, v: 1}. Give prob of sequence tyj.
1/273
Four letters picked without replacement from lllffflllfllf. What is prob of sequence lfll?
14/143
Two letters picked without replacement from dqaqdpdyd. Give prob of sequence py.
1/72
What is prob of sequence rr when two letters picked without replacement from {r: 7, n: 7}?
3/13
Four letters picked without replacement from {w: 2, k: 4, n: 4, u: 1, t: 1, f: 2}. Give prob of sequence ffkw.
2/3003
Three letters picked without replacement from eggegtegqegbg. Give prob of sequence tee.
1/143
Three letters picked without replacement from {c: 8, o: 8, u: 1}. What is prob of sequence ouo?
7/510
Two letters picked without replacement from zolazpqlozzoap. Give prob of sequence aa.
1/91
Two letters picked without replacement from {g: 1, i: 9, c: 10}. What is prob of sequence cc?
9/38
What is prob of sequence jz when two letters picked without replacement from jjjjjjzjzjjjjjjjzj?
5/34
Calculate prob of sequence bih when three letters picked without replacement from hfhibhhbfbhh.
3/220
Two letters picked without replacement from ywyw. Give prob of sequence yw.
1/3
Two letters picked without replacement from eiqzzqqqqh. What is prob of sequence eh?
1/90
Two letters picked without replacement from {s: 1, z: 5, g: 1, i: 1, d: 3, r: 2}. Give prob of sequence di.
1/52
Calculate prob of sequence yvy when three letters picked without replacement from zyyyyyyvzvy.
14/165
What is prob of sequence vvk when three letters picked without replacement from v | {
"pile_set_name": "DM Mathematics"
} |
, given that g(r) = 0.
-2, 11
Let z = -377 + 408. Factor 4*y**3 - 9*y - 55*y**2 + 6*y**4 - 11*y**4 - 21*y - z*y**3 - 3*y**3.
-5*y*(y + 1)*(y + 2)*(y + 3)
Let k(a) be the second derivative of a**7/840 - a**6/160 - a**5/240 + a**4/32 - 43*a**2/2 + 14*a. Let z(f) be the first derivative of k(f). Factor z(v).
v*(v - 3)*(v - 1)*(v + 1)/4
Let x(u) = u**3 + 9*u**2 + 14*u + 8. Let p be x(-7). Let h be 264/60 + p/(-20). Factor 0 - 2/13*q + 2/13*q**3 - 2/13*q**2 + 2/13*q**h.
2*q*(q - 1)*(q + 1)**2/13
Let f(c) be the second derivative of -8/15*c**3 - 1/30*c**4 - 150*c + 0*c**2 + 0. Factor f(a).
-2*a*(a + 8)/5
Let b = 208739 + -1878631/9. Determine j, given that b*j + 4/9*j**2 + 16/9 = 0.
-4, -1
Suppose 347/2*z + 259*z**2 + 87/2 - 1/2*z**5 + 83/2*z**4 + 171*z**3 = 0. What is z?
-1, 87
Factor 3/2*a**2 + 225/2*a - 114.
3*(a - 1)*(a + 76)/2
Let f(b) be the third derivative of b**6/120 + b**5/30 - 17*b**4/6 + 20*b**3 + 5*b**2 - 67*b. Factor f(q).
(q - 6)*(q - 2)*(q + 10)
Let a be ((-24 + 24)/3)/(-1). Let i(m) be the second derivative of -1/8*m**4 + 0*m**2 - 1/80*m**5 + a*m**3 + 0 + 48*m. Solve i(h) = 0 for h.
-6, 0
Let h be 30731/6320 + -7 + 444/64. Solve h + 28/5*k + 4/5*k**2 = 0 for k.
-6, -1
Let t(g) = -3*g**3 - 55*g**2 - 7*g + 1017. Let h(m) = m**3 + 27*m**2 + 3*m - 509. Let w(o) = 14*h(o) + 6*t(o). Suppose w(p) = 0. What is p?
-4, 8
Let y(b) = -b**3 - 27*b**2 + 57*b - 26. Let p be y(-29). Let g(a) be the first derivative of 30 + 3/2*a - 1/6*a**p + 1/2*a**2. Suppose g(j) = 0. Calculate j.
-1, 3
Let j(y) = 26*y**2 + 91*y + 138. Let c(q) = -27*q**2 - 90*q - 162. Let w(l) = -4*c(l) - 5*j(l). Factor w(v).
-(2*v + 1)*(11*v + 42)
Let g(u) be the third derivative of 7/2*u**3 + 0 + 0*u + 0*u**4 - 1/1080*u**6 + 1/360*u**5 - 11*u**2. Let d(s) be the first derivative of g(s). Factor d(t).
-t*(t - 1)/3
Let o = 167 - 164. Factor -g**3 + 9*g**2 + 10*g + 7*g**2 + 8*g**o - g**3.
2*g*(g + 1)*(3*g + 5)
Suppose 126*i - 496 = -133*i + 11*i. Suppose -20/11*y + 0 + 2/11*y**i = 0. Calculate y.
0, 10
Suppose 4*y = 5*g + 2, 0*g - 3*g - 3 = -3*y. Factor 5 + 3*k**2 + y*k + 12 - 35.
3*(k - 2)*(k + 3)
Let 2*o**2 - o - 29 - o**3 - 35 + 64 = 0. Calculate o.
0, 1
Let i(u) = -13*u**2 + 4*u + 3. Let l be i(-1). Let b = 16 + l. Factor 0 - 3*a**b + 4*a**2 - 9*a + 6 + 2*a**2.
3*(a - 2)*(a - 1)
Let z be 3/(195/(-80) + 3) - (-711)/(-158). Suppose 5*h + 0 - z*h**3 + 25/6*h**2 = 0. What is h?
-1, 0, 6
Let 528/5 - 1/5*h**3 - 349/5*h - 178/5*h**2 = 0. Calculate h.
-176, -3, 1
Suppose t - 21 = -3*k, 5*t = 22*k - 20*k + 122. Let y = t - 22. Factor -2/3*o**4 - 236/3*o**y - 120*o - 40/3*o**3 - 54.
-2*(o + 1)**2*(o + 9)**2/3
Let i(s) = s**2 + 5915*s - 12054. Let c(l) = 5*l**2 + 35490*l - 72375. Let v(n) = 4*c(n) - 25*i(n). What is f in v(f) = 0?
-1185, 2
Let q be ((-8)/(-10))/((-6)/(-10)). Suppose -733289*v - 768 = -733385*v. Let 8/3*z**2 - 20/3*z - v + q*z**3 = 0. Calculate z.
-3, -1, 2
Let z(j) = -3*j**3 + j**2 + j. Let h(r) = 10*r**2 + 41*r + 2. Let p be h(-4). Let w(n) = -4*n**3 + 2*n**2. Let l(x) = p*w(x) + 4*z(x). Factor l(m).
-4*m*(m - 1)*(m + 1)
Suppose 75 = 30*m - 75. Let x be m - ((-518)/63)/(-2). Determine d so that 0*d + 0 - x*d**2 + 4/9*d**4 - 4/9*d**3 = 0.
-1, 0, 2
Factor -3/4*w**2 + 4 + 1/8*w**3 + 0*w.
(w - 4)**2*(w + 2)/8
Factor 2962/5*x - 2963/5 + 1/5*x**2.
(x - 1)*(x + 2963)/5
Factor 1816*w**2 + 337095715 + 2484735*w + 3707*w**2 + 5*w**3 + 582*w**2.
5*(w + 407)**3
Let w = 12 - 12. Suppose 4*l + t - 4 = 2*l, 3*t + 12 = w. Factor -5*q**4 + 12*q**3 + q - 2*q**4 + l*q**4 - 49*q + 48.
-3*(q - 2)**3*(q + 2)
Suppose -2*i + 3*o + 22 = 0, 34*i - 29 = 29*i + o. Let p(k) be the first derivative of 0*k**2 - 1/36*k**3 - 1/24*k**4 - 1/60*k**i - 1 + 0*k. Factor p(v).
-v**2*(v + 1)**2/12
Suppose 15*u**2 - 24*u + 3/2*u**3 - 240 = 0. What is u?
-10, -4, 4
Let z(c) be the third derivative of 3/200*c**6 + 0 - 36*c**2 + 7/100*c**5 + 19/120*c**4 + 1/5*c**3 + 0*c + 1/1050*c**7. Determine p, given that z(p) = 0.
-6, -1
Let v(i) = 2*i**2 - 22*i + 40. Suppose -3*y = 4*o - 51, -37 + 32 = -y. Let m be v(o). Let -2*q**2 + 0*q**3 - 4/3*q + 2/3*q**m + 0 = 0. What is q?
-1, 0, 2
Suppose -u = -3*w + 4, 4 = 2*w + 8. Let s be (-22)/u - 1/5. Factor 14*o**3 + 44*o**s + o + o - 7*o**3 - 53*o**2.
o*(o - 1)*(7*o - 2)
Suppose -4*c**4 + 44*c**2 + c**3 + 80*c**2 - 14*c**3 - 174*c - 70*c + 17*c**3 + 120 = 0. What is c?
-6, 1, 5
Let v(r) be the first derivative of 90 + 8/3*r**3 - 8*r + r**4 - 2*r**2. Solve v(l) = 0 for l.
-2, -1, 1
Let t be (-74 + 82)*(-2)/(-4). Let o = -7 + 12. What is j in -15*j**o + 2*j**t - 5*j + 16*j**5 - 2*j**2 + 0*j**4 + 4*j = 0?
-1, 0, 1
Find z such that -4*z + 238*z - 3*z**2 + 606 + 63*z = 0.
-2, 101
Let f(g) be the third derivative of g**7/420 - 37*g**6/240 + 117*g**5/40 - 105*g**4/16 - 8418*g**2. Factor f(y).
y*(y - 21)*(y - 15)*(y - 1)/2
Let o = 113 - 111. Factor -8*h + 4*h + 15*h**2 - 5*h**2 - 10 + 4*h**o.
2*(h - 1)*(7*h + 5)
Let j(i) be the first derivative of 0*i**2 - 1/78*i**4 - 1/39*i**3 - 10*i - 15. Let x(l) be the first derivative of j(l). Suppose x(r) = 0. What is r?
-1, 0
Let o(i) be the second derivative of 5/24*i**6 - 45*i - 1/4*i**5 + 0 + 5/6*i**3 - 7/16*i**4 - 1/2*i**2. Find k such that o(k) = 0.
-1, 2/5, 1
Let t(i) be the third derivative of i**6/40 - 143*i**5/20 - 73*i**4/4 + 144*i**3 + 3111*i**2 - i + 2. Let t(n) = 0. What is n?
-2, 1, 144
Let b(f) be the first derivative of 39 - 8*f + 8/3*f**3 - 2*f**2 + f**4. Factor b(r).
4*(r - 1)*(r + 1)*(r + 2)
Let c(l) be the third derivative of l**5/270 - 5*l**4/36 + l**2 + 31*l. Factor c(q).
2*q*(q - 15)/9
Let i be (-4688)/42 + (-48)/(-168). Let x = i + 112. Factor -1/3*o**2 - x - o.
-(o + 1)*(o + 2)/3
Let x(y) be the third derivative of -y**7/350 - 3*y**6/50 - 29*y**5/100 - 9*y**4/20 - 2111*y**2. Factor x(b).
-3*b*(b + 1)*(b + 2)*(b + 9)/5
Let m be ((-7)/28)/(81/(-144)). Suppose -39 = 6*j - 57. What is b in -m*b + 1/9*b**2 + 1/9*b**j - 4/9 = 0?
-2, -1, 2
Let z(l) = -l**3 - 4*l**2 - l - 1. Let v be z(-4). Suppose 0 = 2*n - 4*j - v + 11, -2*j - 12 = -5*n. What is o in 3*o**n + 0*o**4 + 244*o**3 - 244*o**3 = 0?
0
Suppose 16*d - 3616 - 1232 = 0. Factor -6*g**2 - 237*g**3 + 3*g**5 + 0*g + d*g**3 - 33 + 39*g**4 - 69*g.
3*(g - 1)*(g + 1)**3*(g + 11)
Factor -1710 + 167*m**2 + 1325*m**2 - 522*m**2 - 35*m**3 - 5705*m.
-5*(m - 19)*(m - 9)*(7*m + 2)
Let k = -4172 + 4176. Let j(s) = -s + 13. Let d be j(8). Let 1/2*u + 2*u**2 - 1 + 1/2*u**d - u**3 - u**k = 0. Calculate u.
-1, 1, 2
Let m be (44/66)/((-2)/(-225)). Suppose -63*k = -m*k. Factor k*f + 1/7 - 1/7*f**2.
-(f - 1)*(f + 1)/7
Factor -1/4*c**2 + 7/4 - 3/2*c.
-(c - 1)*(c + 7)/4
Let g(s) = -2*s**3 - 11*s**2 - s + 22. Let y be g(-5). Let o(f) be the third derivative of -1/3*f**4 - 3*f**y + 1/6*f**5 + 0*f**3 + 0*f + 0. Factor o(k).
2*k*(5*k - 4)
Find l such that -6*l**2 + 54 + 3/8*l**5 + 48*l - 15/8*l**4 - 27/2*l**3 = 0.
-2, 2, 9
Let i(y) be the second derivative of 5*y**4/36 + 325*y**3/18 + 295*y**2 + 2233*y. Determine c, given that i(c) = 0.
-59, -6
Factor -439 - 285*d - 185 + 7*d + 28 - 256 + 2*d**2.
2*(d - 142)*(d + 3)
Let n(a) be the first derivative of -a**4/28 - 71*a**3/21 - 134*a**2/7 + 6405. Factor n(y).
-y*(y + 4)*(y + 67)/7
Let r(l) be the second derivative of -5*l**6/6 - 63*l**5/4 - 535*l**4/6 - 70*l**3 + 180*l**2 - 167*l. Let r(x) = 0. Calculate x.
-6, -1, 2/5
Let n = 10739 + -10736. Let q(v) be the second derivative of 0*v**2 + 6*v + 0 + 1/20*v**4 + 1/10*v**n. Factor q(c).
3*c*(c + 1)/5
Let k = -8756 - -70049/8. Let o(c) be the first derivative of 0*c**3 + 0*c**2 - k*c**4 + 0*c - 16. Factor o(h).
-h**3/2
Let -2/9*f**5 + 3822*f - 2396/9*f**3 + 2058 + 1484*f**2 + 122/9*f**4 = 0. What is f?
-1, 21
Let a be (2/30)/((-1)/(-6)*(-240)/(-120)). Let v(l) be the second derivative of 7/60*l**4 + 7/30*l**3 + 1/50*l**5 + 33*l + 0 + a*l**2. Factor v(m).
(m + 1)*(m + 2)*(2*m + 1)/5
Suppose 3*p = 4*p - 5*k - 36, 2*p + k - 28 = 0. Suppose -7*h + 6*h = m - 1, -3*m = -4*h + 18. Find j, given that -5*j**4 + p*j**h + j - j + j**4 = 0.
0, 4
Let d(i) be the first derivative of 7*i**4/16 + 297*i**3/4 + 127*i**2/4 - 386. Factor d(p).
p*(p + 127)*(7*p + 2)/4
Let x be 1/((-8)/840*-21). Let w(l) be the third derivative of -1/160*l**x + 0*l + 1/16*l**4 - 1/4*l**3 + 0 - 11*l**2. Let w(t) = 0. What is t?
2
Suppose 112 | {
"pile_set_name": "DM Mathematics"
} |
*(2*f**2 - 2 + 4 + 0).
8*f**4 + 8*f**2
Expand (-2*d**4 + d**3 - d**3)*(-d - 10203 + 10105 + 2*d).
-2*d**5 + 196*d**4
Expand (z + 2*z - 4*z)*(-4 + 4 + 2*z) + (0*z**2 + 4*z**2 + 0*z**2)*(3 + 1 - 5).
-6*z**2
Expand (-28*z**4 - 2*z + z + 31*z**4 + (-4 + 4 + 2*z**2)*(z**2 + 0*z**2 - 3*z**2))*(-2 + 2 - 5).
5*z**4 + 5*z
Expand (-3 + 0 + 5)*(3*n**3 - 70*n**2 + 70*n**2) - 2 - n**3 + 2 + (0*n - n + 3*n)*(0*n**2 + 2*n**2 - 4*n**2).
n**3
Expand 4*h**2 + 2*h**2 + 13*h**2 - 1 - 2*h**2 + 1 + (h + 3*h - h)*(3*h + h - 2*h) + 0*h**2 + 0*h**2 + h**2.
24*h**2
Expand (-4*g**2 - g**4 + 4*g**2)*(-35 - 19 - 36 - 129).
219*g**4
Expand (-9*g - 199*g + 15*g)*(-2 + 0 + 4)*(0 + 4 - 2).
-772*g
Expand (a + 0*a + a)*(0 + 5 - 3) + 2*a - a - 2*a - 34 + 37 + 1677*a - 2803*a.
-1123*a + 3
Expand (-2*n**2 - 2*n**2 + n**2)*(-8320 - 226*n + 8320).
678*n**3
Expand 4*a - 6 + 6 + (0*a + 3*a - 2*a)*(2 - 5 - 2).
-a
Expand ((-25 + 17 + 17)*(-2 + 1 + 2) + 2 + 0 + 0)*(5*a - 3*a - 3*a)*(-2 - 1 + 0).
33*a
Expand ((-1 + 3 + 1)*(1 - 1 + r) + 0*r + r + 2*r - r + 0*r + 0*r)*(-1 - 2 + 5)*(1 - 2 + 2) + (3 + 0 - 4)*(-r + 1 - 1).
11*r
Expand (-4 + 4 + 2)*(1 - v - 1) - 838*v - 4 - 833*v + 1474*v.
-199*v - 4
Expand -d**3 + 6*d**3 + 2*d**3 - d + d - d**3 + (0*d**2 + 2*d**2 + 3*d**2)*(-d + 2 - 2) - 5*d**3 + 2*d**3 + 4*d**3.
2*d**3
Expand (163 + 15*g - 163)*(-103 - 167 + 148).
-1830*g
Expand -1 + 2*v + 1 + 0*v - 6*v - 2*v + (5 - 3 + 0)*(-v - 1 + 1) + v - 2*v + 2*v + 7 - 7 - 2*v.
-9*v
Expand (2*i**3 + 0*i**3 - 3*i**3)*(0 - i + 0) + 0*i**3 + i**4 + 0*i**3 + 22*i - 14*i**4 - 22*i + i**4 + 43*i**4 + 10*i**4.
42*i**4
Expand (f - 5*f + 5*f)*(-1 + 5 + 4*f - 4).
4*f**2
Expand -2*r**2 + r + 29 + r**2 - 11 + (1 - 3 + 0)*(4 + 2*r**2 - 4) + r**2 + 4 - 4 + 4 - 3*r**2 - 4.
-7*r**2 + r + 18
Expand (-8*y - 11*y - 11*y)*(2*y - 3*y + 3*y - 2 - 2*y + 2 + 2*y - 3*y + 0*y + (0 - y + 0)*(-3 + 4 + 1) - 1 + 1 + y).
60*y**2
Expand (0 + 0 - q**3)*(5 + 0 + 0)*((-1 + 5 - 2)*(-3 - 1 + 2) + 7 - 18 + 10).
25*q**3
Expand -16 - 2*x + 16 + (2*x + 5 - 5)*(-4 - 2 + 4).
-6*x
Expand 39*j**2 + 2*j**3 - 20*j**2 - 18*j**2 + 15*j + (-6 + 2 + 2)*(4*j + 2*j**3 - 4*j).
-2*j**3 + j**2 + 15*j
Expand (-782 - 220 + 74)*(-4 - 2*b + 4).
1856*b
Expand 3*l**3 + 2*l**3 - 3*l**3 + (0 - 2*l + 0)*(2*l**2 + 0*l**2 - 4*l**2) - 2*l**3 - 2*l**3 + 6*l**3 + 47*l + 45*l**3 - 75*l - 37*l**3.
16*l**3 - 28*l
Expand -2*d**4 - 3 + 3 + (2*d**3 - 2*d**3 + d**3)*(59 - 59 - 2*d) + (-14*d + 14*d - 4*d**3)*(-2 + d + 2) - 3*d**4 - 3*d**3 + 0*d**3 + d**3.
-11*d**4 - 2*d**3
Expand (0 + 0 - 2*a**3)*(-2 + 1 + 3) - 2*a**2 - 4*a**2 + 8*a**2 - 1495*a**3 - 2*a**2.
-1499*a**3
Expand 3*w - 4*w**4 - 3*w + 3*w**3 - 7*w**4 - 3*w**3 + (-w**2 + w**2 + w**2)*(2*w**2 - 9*w**2 + 0*w**2).
-18*w**4
Expand (y**2 - 4 + 4 + 3*y**2 - 5*y**2 + y**2 + (0*y + 3*y - y)*(y - y - 2*y) - 4*y**2 + y**2 + y**2)*(4*y**2 - 41 + 41).
-24*y**4
Expand -y**5 + 2*y**5 - 2*y**5 + (2*y**4 - 2*y**4 - y**4)*(-3*y + 3*y - 2*y) - 18 - 49*y**5 - 51*y**5 + 20 - 2*y.
-99*y**5 - 2*y + 2
Expand (0 + 0 - 2*i + (2 - 2 - 2*i)*(1 - 1 + 1))*(-416 + 2*i + 416 + 121*i**2).
-484*i**3 - 8*i**2
Expand (-3*w**2 + 4*w**2 + w**2)*((w - 3*w + w)*(-3 + 0 + 5) + 2*w - 15*w - 15*w)*(1 - 1 - w)*(0*w + 2*w - w).
60*w**5
Expand (-2*o**3 + 2*o**3 - 2*o**4 + (o + 2*o**3 - o)*(-5*o + o + 2*o))*(-8*o + 15*o + 8*o).
-90*o**5
Expand (0*f**2 + 0*f**2 + f**4)*(5*f + 2*f - 5*f) + ((-2 + 2 + 1)*(0*f**5 - 5*f**5 + 3*f**5) + 3663*f - 3663*f + 29*f**5)*(4 - 3 + 1).
56*f**5
Expand (-7 + 5 + 3*y**2 - y**2)*(-2*y + y**2 + 2*y + (-y**2 + 0*y**2 + 0*y**2)*(0 - 3 + 0)).
8*y**4 - 8*y**2
Expand (-z**2 - 3*z**2 + 5*z**2)*(17 - 3*z - 22 - 30)*(2*z - 2 + 2).
-6*z**4 - 70*z**3
Expand (2*r**2 + 0*r**2 + 0*r**2)*(-41*r**2 - 1407*r + 1407*r).
-82*r**4
Expand ((257 - 257 + 5*o)*(3*o - 4*o + 3*o) + 4*o**2 + 2*o**2 - 5*o**2)*(-1 - o - 2*o + 2*o).
-11*o**3 - 11*o**2
Expand (-2*i - 8*i + 10*i - 52*i**3)*(11 - 8 + 12).
-780*i**3
Expand -117*t**2 + 11 + 117*t**2 - t**3 - 4*t**3 + t**3 - 2*t**3 - 2*t**3 + 4*t**3 - 3*t**3 + (-1 + 1 - t**2)*(2*t - 3 + 3) + 0*t**3 - t**3 + 2*t**3.
-8*t**3 + 11
Expand 11*d**4 + 20*d**4 - 17*d**4 + 2*d**4 - 5*d + 5*d + (0 + 2*d + 0)*(0*d + 0*d - d**3) - 4*d**2 + d**4 + 4*d**2.
15*d**4
Expand (x + 2*x + 2 - 2*x)*(-10020 - 5*x + 11616 + 4*x).
-x**2 + 1594*x + 3192
Expand (o**3 - 2*o + 2*o)*(-6026 + 6026 + 122*o**2) - o**3 + o**3 + o**5.
123*o**5
Expand 16*z**5 + 4*z - 4*z + (2*z**3 + 2*z**3 - 2*z**3)*(-z**2 - 4*z**2 + 4*z**2) - 2*z**2 + 2*z**2 + z**5 + (-z - 4*z + 6*z)*(1 - 1 - 2*z**4).
13*z**5
Expand (-4*p**2 + 2*p**2 + p**2)*(9*p - 2 + 2)*(0*p - 2*p + p)*(-8*p + p - 2*p).
-81*p**5
Expand m**5 + 4*m**5 - 3*m**5 + ((-3 - 3 + 4)*(-1 + 1 - 2*m**2) + 0*m**2 + 0*m**2 - 3*m**2)*(32*m - 10*m**3 - 32*m).
-8*m**5
Expand (-2 + 2 - 2*h**2)*(-4*h**3 + 269*h**2 - 271*h**2 + 3*h**3 - 32*h).
2*h**5 + 4*h**4 + 64*h**3
Expand -3*d + 5*d - d + d + 0*d - 2*d + 3*d - 7*d + 2*d + (-d - 4*d + 3*d)*(-1 - 2 + 4) - 3 - d + 3 + 0*d - 3*d + 6*d + (-8 - 6 + 5)*(-2*d + 3*d - 2*d).
7*d
Expand 608*k**2 - 2851*k + 2851*k + (3 + 0 - 2)*(0*k - 2*k + 0*k)*(-k + k + k).
606*k**2
Expand (-2*i**2 - i**2 + 4*i**2)*(-1 + i**3 + 1) + 549*i**3 - 549*i**3 + 140*i**5.
141*i**5
Expand (-5 + 5 - n**2)*(-3 + 0 + 5) - 80 + 244 + 48*n**2 - 80 - 84.
46*n**2
Expand (-o**2 - 5*o**2 - 6*o**2)*(-1 - 1 - 6)*(0*o**2 - 5*o**2 + 4*o**2).
-96*o**4
Expand (-81*o + 6101 - 6101)*(2*o + 2 + 1 - 2).
-162*o**2 - 81*o
Expand (24 + 11 - 18)*((-c**2 + 2*c**2 - 4*c**2)*(-4 - 1 + 4) - 1 + 1 + 2*c**2).
85*c**2
Expand ((3*l + 2*l - 2*l)*(-2*l - 4 + 4) - l + l - l**2 + (0*l + 2*l - 3*l)*(-1 + 1 - 2*l) + 0*l**2 - 2*l**2 + 3*l**2)*(15*l + 25*l - 13*l)*(2 + 0 + 0).
-216*l**3
Expand -g**2 + 0*g**2 + 3*g**2 + 0*g**2 + 2*g**2 - 3*g**2 + (-31*g - 24 + 24)*(-2*g - g + g).
63*g**2
Expand (-5 + y + 5)*(-1 + 6720*y + 3 - 6679*y).
41*y**2 + 2*y
Expand 11*a**4 + 103*a - 104*a - 281*a**2 + 290*a**2 + a**3 - a + a + a**4 + (-3*a + 2*a - a)*(a**3 + 4*a**2 - 4*a**2).
10*a**4 + a**3 + 9*a**2 - a
Expand (-7 + 11 - 25)*(4 + 2 - 4)*(0 - 2 + 3)*(-2 + p + 2).
-42*p
Expand (129*v**2 + 6*v + 14*v - 20*v)*(5*v**2 + 2*v**2 - 6*v**2).
129*v**4
Expand (-2*i**3 + 10*i**3 - i**3)*(2*i + 2 - 2) + 3 + i**4 - 3 + 2*i**2 - i**4 - 2*i**2 + 8*i**4 - 2*i**4 + i**4.
21*i**4
Expand ((3 + 2 - 6)*(z + 1 - 1) + (3*z - 3*z - z)*(3 + 0 - 2))*(-13 + z + 13).
-2*z**2
Expand (2*o**3 - o**3 + 2*o**3)*(-13*o + 50 - 50) + o**4 - 5*o**4 + 0*o**4.
-43*o**4
Expand (-3 + 3 - r**2)*(-1 + 1 + 2*r) + 45*r**3 + 210*r**3 - 445*r**3.
-192*r**3
Expand (13*j + 3*j - j)*(-8*j**2 + 10*j**2 + 8*j**2).
150*j**3
Expand (-3*w**3 + 5*w**3 + 0*w**3)*((-4 + 5 - 3)*(w - 3*w + 4*w) - 3040 + 3040 - 140*w).
-288*w**4
Expand (-17 + 8 + 7)*(-14 + 2*b - 3*b + 12).
2*b + 4
Expand (-3*g + 0*g + 2 + 0)*(-6*g**2 - 7*g**2 + g**2).
36*g**3 - 24*g**2
Expand f**3 - f**3 + 2*f**3 + (-1 + 1 - 3)*(-3*f**3 + 3*f**3 - 9*f**3).
29*f**3
Expand -u**3 + u**3 - 4*u**3 + 6*u**3 - 2*u**3 - 2*u**3 + (-u + 0*u - u)*(-2*u**2 - 2 + 2) + 6*u**2 - 6*u**2 - 44*u**3 + 4*u**3 - 2*u**3 + 0*u**3.
-40*u**3
Expand (2*p + 2*p - 6*p)*((0 + 1 - 2)*(1 + 0 + 3)*(25*p - 16*p + 11*p) + (3 - 2*p - 3)*(-4 + 2 + 0)).
152*p**2
Expand (-22*d + 11 - 11)*(-75 - 56*d + 75).
1232*d**2
Expand (-1 + 257*t**2 - 338*t**2 - 293*t**2)*(t + 2*t**3 - t).
-748*t**5 - 2*t**3
Expand (-2*t - 4 + 4)*(-5 + 2*t**2 + 5) - 3*t**3 + t**3 + t**3 + 3*t**3 - 7*t**3 + t**3 + (0*t + 3*t - t)*(t**2 - 2*t**2 - t**2).
-12*t**3
Expand (12*c + 17*c**2 - 12*c)*(1 + 2*c**2 - 1) + 0*c**4 - 3*c**4 - 2*c**4 + (-2*c**2 + 1 - 1)*(-3*c**2 + 0*c + 0*c).
35*c**4
Expand r - 1 - 3*r + 3 + (3*r - 4*r + 0*r)*(0 + 3 - 10 + 1 - 1 - 1 + (-1 + 2 - 3)*(-5 + 4 + 2) + 1 + 2 - 1).
6*r + 2
Expand (4*t - 5*t + 3*t)*(-3*t - 3*t + 7*t) + 36*t**2 - 13*t**2 - 16*t**2 - t**2 - 5*t**2 + 4*t**2 + (2 - 2 - 2)*(-1 + 1 - 2*t**2).
11*t**2
Expand (-2*i**4 - i**4 + 2*i**4)*(2*i + 3*i - 3*i) + 3*i**4 - 4 - 2*i**5 - 6214*i**3 + 5*i + 6214*i**3.
-4*i**5 + 3*i**4 + 5*i - 4
Expand 80*w**2 + 113*w**2 + 180*w**2 + (-3*w**2 + w**2 + 3*w**2)*(-3 + 4 - 3) + 0*w + 0*w - 2*w**2.
369*w**2
Expand (5*j - 60*j - 38*j)*(3 - 2 - 3)*(0 + 2 - 3) - 2*j + 0*j + 0*j.
-188*j
Expand (3*p**4 - 2*p**4 - 4*p**4 + (-4*p + p + 2*p)*(-p**3 + 2*p - 2*p))*(10*p + 8*p - 3*p).
-30*p**5
Expand -g**4 + 26*g + 6*g**4 - 3*g**4 + (-2*g**2 - 1 + 1)*(-5* | {
"pile_set_name": "DM Mathematics"
} |
*(-3)/(-9)
-5/4
Calculate (725/3625)/(0 + 1).
1/5
What is the value of 3/50*32/24?
2/25
Evaluate -5 + (-3104)/(-1520)*5/2.
2/19
Evaluate (186/15)/((-176)/(-220)) - 17.
-3/2
(-100)/(-10) - 1680/126
-10/3
(((-3)/(-116))/((-6)/(-8)))/(8/(-16))
-2/29
(255/(-544))/((-18)/((-2160)/50))
-9/8
(6 - 2)/(7 - 15/5)
1
7*(-2 - -3) + -71 + 70
6
What is ((-1)/3 - 126/108)/((-18)/84)?
7
What is the value of (-14)/(-2) - (-2 + 4) - 32/16?
3
Calculate (-2 - (-20)/15)*(-3 + 12).
-6
Calculate (-5 - 1030/(-210))*(-14)/6.
2/9
Calculate (120/520)/(6/(-4)) - 396/(-39).
10
Calculate ((-13)/((-169)/3))/(9/(-6)).
-2/13
What is ((-5)/(2/(1/(5/(-2)))))/(-1)?
-1
What is the value of 20*(135/(-132) - 117/(-429))?
-15
Calculate 11*-2 + (-16 + -17 - -46).
-9
What is ((2907/(-12))/19)/((-42)/(-56))?
-17
(6/(-12)*-6)/(1 + (-6)/(-3))
1
Evaluate (-6398)/(-457) - (-1 + 31).
-16
Evaluate (-268)/64*4 - -18.
5/4
Evaluate 6/(-16) + (-10275)/440 + 24.
3/11
What is the value of 15939/(-1155)*2/((-12)/10)?
23
(-615)/55 - 9/(297/(-6))
-11
Evaluate -1 - (1 + -1) - -13*(-4)/52.
-2
What is ((-1 - 0)*(-2)/(-42))/((-2)/(-12))?
-2/7
Evaluate ((-50)/140)/(45/(-180))*14/4.
5
Evaluate (-58)/(-58) - (-533)/(-507).
-2/39
(-235)/752*(-4)/5
1/4
35*1/(-5) - (-146)/21
-1/21
60/(10 + -22) + 5*-1
-10
What is the value of (-82)/(-1107)*((-21)/6 - -2)?
-1/9
What is the value of (-196)/21*9/72?
-7/6
Evaluate ((-168)/(-190))/(-3) + (-186)/(-465).
2/19
What is (-22)/(-33) - 12/45?
2/5
What is the value of 25/110*(-240)/600?
-1/11
Evaluate ((-22)/10)/((-15)/75).
11
(-2508)/(-132) + -14 + -3
2
What is 7 + (175/15 - 17)?
5/3
What is the value of (-29526)/(-2618) - 12 - ((-84)/33 + 2)?
-3/17
Evaluate ((-221)/238)/(26/(-8)).
2/7
Evaluate -6 + (1 - (-14 + 6)) + 5/(-20).
11/4
Calculate (-1)/(-9)*(-44)/(-110)*30/(-8).
-1/6
Calculate 8/54*(143/22 - 5).
2/9
Calculate (-30)/(-315) - (-320)/168.
2
Evaluate -20 - (0 - (48/(-20))/(22/(-55))).
-14
What is -38 - (-20 + (-720)/30)?
6
What is the value of (-82)/(328/(-15)) - (-54)/(-14)?
-3/28
Evaluate (-78)/117 + 8/(-6).
-2
((-1)/((-20)/48))/((-5642)/1085)
-6/13
((-40376)/(-69216))/(32/(-18) + 1)
-3/4
(462/4950)/((-14)/(-12))
2/25
Evaluate -1*13 + 104/(49088/6195).
1/8
Calculate (-24 - -30)*(-133)/57.
-14
Calculate -7 + (-1*(-2)/(-4) - 459/102).
-12
Evaluate ((-1)/(-68))/((-339)/1356).
-1/17
2/14 + (-798)/(-931)
1
What is (-19 - (-132)/8)*(-2 + 74/40)?
3/8
1/(8/(-33) - (-105)/315)
11
Calculate (14 - 99/18)/((-1)/2).
-17
What is the value of (4/((-16)/9))/(3315/120 - 28)?
6
(272/112 + -2)*-1*1
-3/7
Evaluate ((276/(-36))/23)/(-1 + 28/30).
5
What is the value of -10 + -1 + (552/(-144) - 15/(-18))?
-14
What is the value of (-15)/45*86/(-4) + (33 - 41)?
-5/6
Calculate (-15)/(-5) - (1 + 90/44).
-1/22
882/539*(-2)/3
-12/11
What is (2/(-238))/(66*20/9240)?
-1/17
Calculate -10 + (-913)/(-102) + (-882)/(-756).
2/17
Evaluate 5*(-41 + 6976/170).
3/17
Calculate (-162)/(-39) - (-78)/(-507).
4
What is -2 + 300/(-42) + 6/(-7)?
-10
What is the value of 38/10 - ((-21 - -102) + -77)?
-1/5
(-9)/(-40)*156/(-819)*7
-3/10
Calculate 18/72 + (1020/(-144))/17.
-1/6
What is (-1)/((-6)/(-15))*(107 + -105)?
-5
What is 209/(-22) + (5 - 1)?
-11/2
Calculate 3 - (3168/52)/22.
3/13
Calculate (5/(-12))/(728/(-84) - -8).
5/8
Evaluate 1396/2443 - 712/(-28).
26
Evaluate ((-2)/(-6))/(3298/582)*(0 - -1).
1/17
Evaluate (-23 - (-6 - 26)) + ((-385)/(-9))/(-5).
4/9
(-14)/1*(3/588)/(8/(-64))
4/7
What is the value of 1378/(-65) - ((-2)/8)/((-70)/(-336))?
-20
Evaluate 30/20*4/3*105/(-30).
-7
What is the value of 28 + 798/(-28) - 1*(-12)/(-16)?
-5/4
Evaluate (115/10 - (-1 - -5))*684/(-2850).
-9/5
What is the value of 14/77 + (-632)/88 - -8?
1
10 - (-15 - 492/(-20))
2/5
What is the value of (-2948)/1072 + 30/4?
19/4
Calculate 2125/(-1275)*6/(-2 + 0).
5
(-1)/(-7)*(-56)/(-720)*9
1/10
What is the value of -770*25/(-3150) - (0 + 5)?
10/9
(-40180)/(-1476) - 10/45
27
Calculate (7788/1888)/(2 - 29/16).
22
Calculate -42 - (54/(-3) + 1 + (1 - -6)).
-32
What is the value of (-15*22/(-165))/(2/15 - 0)?
15
What is the value of (76/95)/(3 - 380/125)?
-20
What is the value of 54/(-252)*56/48?
-1/4
1*(11 - (6 - -6)) + 21/(-3)
-8
What is the value of -11 + (2196/60)/3?
6/5
(57/15 - -1)/((40/25)/4)
12
Evaluate 420/19950 + (-4552)/(-380).
12
What is the value of (232/(-48))/(-29) - ((-200)/15)/4?
7/2
Evaluate 6 - (-10 - -9 - 8).
15
156/13 + -29 + (0 - (-1 - 1))
-15
(2 - 0) + (-57120)/1785
-30
(-612)/(-2244)*8/(-6)
-4/11
(8 + -3 - -3) + (37 - 20)
25
-1*4/3*(-102)/(-476)
-2/7
Calculate 100/(-40)*(16/(-1200) + 1/3).
-4/5
Evaluate (-1)/(8 - 24/(10 - 4)).
-1/4
What is (530/159)/(33/198 + 86/12)?
5/11
What is (10/6)/(8/624*13)?
10
Evaluate (-32 + 38)*(-21)/6*1.
-21
Calculate ((-15)/5)/((-9)/(-195)*-5).
13
(76 - 90)/(-70*1)
1/5
(9575/68940)/(5*1)
1/36
What is the value of (-6)/(-20) - 29925/114750?
2/51
What is the value of -24 + (-1256)/(-52) + 930/39?
24
Calculate 91/(-15) - (-30)/(-50) - 44/(-66).
-6
What is 18/(-540)*-30 - (0 - -2)?
-1
10 + -7 + (6/18)/((-1)/39)
-10
What is (29 - 32)*10/(-900)?
1/30
What is (-3170)/(-7925) + (-16)/6*(-162)/20?
22
What is the value of (-4)/(-7)*1 + (259 - 259)?
4/7
(-3)/(-7) + 6752/1232 + -6
-1/11
Calculate (-14)/(-4)*(-20 + (-4784)/(-322)).
-18
Calculate ((-3)/(-9))/(14/3 - (-10 + 13)).
1/5
Evaluate ((-4)/12)/((-12)/(648/(-63))).
-2/7
Evaluate (24576/108)/(-16) + (-112)/(-18) + -6.
-14
What is the value of (25/15)/((-3)/63) + (-86 - -95)?
-26
What is (-261)/15*(-3405)/(-2043)?
-29
Evaluate 2976/72 + -15 + -26.
1/3
Evaluate 50/(-2)*738/(-16605).
10/9
((-48)/(-1728))/(20/128) + 4/(-30)
2/45
What is the value of 1/21 - 18/(-63)?
1/3
What is -8*21/6 - -4?
-24
Calculate ((-68)/(-24))/(66/(-132)) - (-4)/2.
-11/3
What is 370/12 + (-131)/(-786)?
31
Evaluate (-4)/(1/(-3) + 14/(378/(-45))).
2
What is the value of -156*12/(-144) - -6?
19
What is (188/658)/((-8)/(-14) + (0 - -1))?
2/11
Calculate 2325/248 + (-12)/32.
9
1/2*3/((-30)/(-70))
7/2
Evaluate 18840/(-628) + (-38)/(-2).
-11
Calculate (-43297)/2059 + (-6)/(-213).
-21
Calculate (27/36*1)/3.
1/4
Evaluate (-1)/(-4 - (-35)/10) + 46/(-184).
7/4
What is the value of ((-1)/(9/108))/((-2)/(-3))?
-18
What is (-26)/(-6) + 1 - (-6)/(-2) - 2?
1/3
What is (7 - -14) + -48 + 9?
-18
What is (-33)/(5280/(-64))*2/(-20)?
-1/25
What is -7*(-39)/91 + (-28)/8*2?
-4
Evaluate 4*(-3 + (-69)/(-24))/(33/(-858)).
13
Calculate (832/(-26) - -18) + (-468)/(-33).
2/11
What is the value of (47/((-564)/(-64)))/(2/3)?
8
Evaluate (6448/336 + -19)*(-7)/30.
-2/45
(30/40)/3 + 1
5/4
What is -7 - 33*(60/(-48) - -1)?
5/4
Calculate (-39)/(-9)*((-105)/42)/(5/6).
-13
Evaluate 57*1/(-105) + (-11 - 638/(-55)).
2/35
Calculate 1/(-5)*-1*-3 - (-423)/630.
1/14
(-534)/15 - (-9 + 1363/145)
-36
What is (-58)/(-8) + (-5)/(-6) + 299/(-276)?
7
What is the value of (522/116)/((-9)/(-2) - -3)?
3/5
Calculate ((-4)/(-26) + -4*(-210)/(-728))*-23.
23
Evaluate (113 - 123)*((-102)/(-15) + -4).
-28
Calculate (-2)/(-12) + 3/6 + 179 + -180.
-1/3
Calculate 26 + -26 + (28 - 23)*(-2 + 1).
-5
(-82)/26 + 14/91
-3
Calculate 962/(-46) - (408/391)/12.
-21
(10/36 + (-6)/(-27))*58/957
1/33
What is (656/(-410))/(876/15)?
-2/73
15 - 552/32 - (-1 - (-21)/28)
-2
(-1 - (-48)/3) + (-3480)/174
-5
(16/12 - 68/24)*(-2)/(-6)
-1/2
What is the value of (-196)/42*(-2 + 14/4)?
-7
Evaluate (2/(-4))/(280/30*9/7).
-1/24
Evaluate (-210)/135 - ((-15915)/945 + 13).
16/7
Evaluate 2265/(-255) - (-26)/(-221).
-9
What is 105/735 + (-244)/(-7)?
35
Evaluate (-13)/65*(8 - 7).
-1/5
What is (428/21)/4 + -9 + 4?
2/21
((-12)/(-16))/(45/320) + (2 - 2)
16/3
14/54*(1746/126 - 13)
2/9
What is the value of (-20)/(-24)*(-1584)/(-825)?
8/5
Evaluate 6056/19682 - (-59)/(-65).
-3/5
Calculate 128/63 + 19*23/3933.
15/7
Evaluate (136/(-12) + 12)/(0 + (-2)/6).
-2
Evaluate ((-195)/13 - -13) + 108/51.
2/17
Evaluate (78/(-4))/(-13) + (-126)/12.
-9
Evaluate (8/(-16))/(1/3)*(63 + -57).
-9
Evaluate 2 + (-756)/351 + 204/(-26).
-8
What is 81/(3159/156) + 75/18*-1?
-1/6
Evaluate (24/60)/((-20)/375*12).
-5/8
What is 882/72 - 9/36?
12
Calculate 210/(-21) - 314/(-32).
-3/16
2/(-44) + ((-2511)/396)/9
-3/4
What is ((-1570)/520 - -3)/((-19)/(-76))?
-1/13
What is the value of -17 + -17 + (3 - (-6400)/208)?
-3/13
What is (8505/(-25))/21 - -16?
-1/5
What is the value of (-2)/8*((-1392)/104 - 168/(-12)) | {
"pile_set_name": "DM Mathematics"
} |
descending order.
0.09, 5/317, -4/19, -4
Sort 5, 2, 86, -8, -4/19, -44, -0.4 in decreasing order.
86, 5, 2, -4/19, -0.4, -8, -44
Put -4, 206.08, -64 in ascending order.
-64, -4, 206.08
Sort -1, -8077, 10, -2 in ascending order.
-8077, -2, -1, 10
Sort 16, 1, -5, -451, -1.
-451, -5, -1, 1, 16
Put -7, 4, 0, -2, -130, 13 in descending order.
13, 4, 0, -2, -7, -130
Put -0.1, -11892, -1/5, 6.8, -3 in descending order.
6.8, -0.1, -1/5, -3, -11892
Sort 42082909, -0.3, 2/7 in descending order.
42082909, 2/7, -0.3
Sort 0.003, 275, 6 in descending order.
275, 6, 0.003
Sort 1/14, -1, -0.4, -63568.
-63568, -1, -0.4, 1/14
Sort -5, -18936, 23, -3, -8.
-18936, -8, -5, -3, 23
Sort -2, 22377.3, -28 in ascending order.
-28, -2, 22377.3
Put -841, -6, -5170, 2 in increasing order.
-5170, -841, -6, 2
Put -96, -59, -78/35 in increasing order.
-96, -59, -78/35
Sort 3, 0.5, -15.8, -1/156, 4, 1 in decreasing order.
4, 3, 1, 0.5, -1/156, -15.8
Sort 37, 150, -40 in ascending order.
-40, 37, 150
Sort 3234, -8, -151 in decreasing order.
3234, -8, -151
Sort -3, 34/9, 2/21, 41/12, -3/5 in decreasing order.
34/9, 41/12, 2/21, -3/5, -3
Sort 1234, 1, -1595 in descending order.
1234, 1, -1595
Put 38, 4, 69, -3, -2, 8, -5 in decreasing order.
69, 38, 8, 4, -2, -3, -5
Put 10, 5, 140, -9, -20, -3, -2 in decreasing order.
140, 10, 5, -2, -3, -9, -20
Put -31, 23, -28, 1, 6, 13 in descending order.
23, 13, 6, 1, -28, -31
Sort 49, 18, 11, -2, 2/3, 4 in increasing order.
-2, 2/3, 4, 11, 18, 49
Sort -304, 368, -27, -3, 2, 5.
-304, -27, -3, 2, 5, 368
Sort -7527919, -2, 4 in decreasing order.
4, -2, -7527919
Put 0.5, 2/13, 6, -10970 in ascending order.
-10970, 2/13, 0.5, 6
Sort 7, -408, -7, 1, -4, -2, -8 in descending order.
7, 1, -2, -4, -7, -8, -408
Sort -1, 5, -6.2, 915, 0.4, 4.
-6.2, -1, 0.4, 4, 5, 915
Sort -76, 2, -5, -83/23, 2/5, 1 in decreasing order.
2, 1, 2/5, -83/23, -5, -76
Put -0.4, -1/3, -203918, 0 in ascending order.
-203918, -0.4, -1/3, 0
Put 10, -96, -2, -28 in increasing order.
-96, -28, -2, 10
Sort -598, 5, 0, 3, -4134, 4 in increasing order.
-4134, -598, 0, 3, 4, 5
Sort 0, -22, 35, -4, 11953.
-22, -4, 0, 35, 11953
Sort 2, -6/7, 8/5, -5, -1193/2 in decreasing order.
2, 8/5, -6/7, -5, -1193/2
Sort -3, 3, -1, 2/17, 36, 251, 5/7 in decreasing order.
251, 36, 3, 5/7, 2/17, -1, -3
Put -3, 5, -2, -1, -12, 35 in increasing order.
-12, -3, -2, -1, 5, 35
Put -90, -44, -7, 31 in ascending order.
-90, -44, -7, 31
Sort -25, 57, 1, 3, 4, 6, -3 in decreasing order.
57, 6, 4, 3, 1, -3, -25
Sort -1, -2/7, 32, -0.3, 49, 11 in ascending order.
-1, -0.3, -2/7, 11, 32, 49
Put -1, -199, -5, 1, 3, 9 in decreasing order.
9, 3, 1, -1, -5, -199
Sort -19, 2, -246427, 5, -7.
-246427, -19, -7, 2, 5
Sort -2.4, -3.2, -1463.
-1463, -3.2, -2.4
Sort -8, -93, 45111.
-93, -8, 45111
Sort 130, -10, 15779 in decreasing order.
15779, 130, -10
Sort 76, 36, -264 in descending order.
76, 36, -264
Sort -4, -10, 4, -5, 52, 25 in increasing order.
-10, -5, -4, 4, 25, 52
Put -1309, 0, -3, 1962 in decreasing order.
1962, 0, -3, -1309
Sort -4/3, -4/9, 54/11, 0.474, -4 in decreasing order.
54/11, 0.474, -4/9, -4/3, -4
Sort -67405, 1, -5, -6, -55 in decreasing order.
1, -5, -6, -55, -67405
Put -68801, -1, 198 in ascending order.
-68801, -1, 198
Sort 2, 11, 4, -304, -3 in descending order.
11, 4, 2, -3, -304
Put 6/11, 3, -2, -38, -0.227 in ascending order.
-38, -2, -0.227, 6/11, 3
Sort -2, -309, -32907.
-32907, -309, -2
Sort -1, 3/2, 1/1564, -2/1113.
-1, -2/1113, 1/1564, 3/2
Sort 0, 1/2150, -16, -3 in increasing order.
-16, -3, 0, 1/2150
Sort 13, -5, 25, 5, -236, 8 in ascending order.
-236, -5, 5, 8, 13, 25
Put -0.1646, 0.79, -11 in decreasing order.
0.79, -0.1646, -11
Sort -4, -1790723, -3 in decreasing order.
-3, -4, -1790723
Put 2, -1428, 3, -21, 0 in decreasing order.
3, 2, 0, -21, -1428
Sort -3/1438, -31, 189 in increasing order.
-31, -3/1438, 189
Sort -8, 29954, -1, -56 in increasing order.
-56, -8, -1, 29954
Sort 276.2468, 1/5, 2.3 in decreasing order.
276.2468, 2.3, 1/5
Put -522, 1, -16, 95 in descending order.
95, 1, -16, -522
Sort -7, -7/15, 0.9, 520 in decreasing order.
520, 0.9, -7/15, -7
Sort -1171, -5, -12, -6, -30, -2 in descending order.
-2, -5, -6, -12, -30, -1171
Put 1/4, -1.4, 5/4, -52, 1, -0.11 in decreasing order.
5/4, 1, 1/4, -0.11, -1.4, -52
Put -2/453, 4, -3, 1/4, 9, 5/6 in descending order.
9, 4, 5/6, 1/4, -2/453, -3
Put 1875, -2, -1, 61 in increasing order.
-2, -1, 61, 1875
Put 48, -29/3, -150.9 in increasing order.
-150.9, -29/3, 48
Put -3, 570, 467, 0, 3, 1 in decreasing order.
570, 467, 3, 1, 0, -3
Sort -11, -1, 3, -4, 0, 271, -589 in descending order.
271, 3, 0, -1, -4, -11, -589
Put -3, -14, -385586 in descending order.
-3, -14, -385586
Put 4, -14, 0, -986, -11 in decreasing order.
4, 0, -11, -14, -986
Put 17, 0, -12093, -8, -1 in increasing order.
-12093, -8, -1, 0, 17
Put -394274, 10/11, -0.5 in decreasing order.
10/11, -0.5, -394274
Put 5, 1, -15361, 3, -3 in decreasing order.
5, 3, 1, -3, -15361
Put 16, -4, -464654 in descending order.
16, -4, -464654
Put 248, -10, -39, 6, -2, -5 in descending order.
248, 6, -2, -5, -10, -39
Put 3, -143, 0, 1098, -9 in descending order.
1098, 3, 0, -9, -143
Sort 1, 24, 4, 15, -98, 79 in increasing order.
-98, 1, 4, 15, 24, 79
Sort -347, 15/4256, -4.
-347, -4, 15/4256
Put 0.24, -663, 167, -0.02 in descending order.
167, 0.24, -0.02, -663
Sort -1/3, -1.634, -15, 7/2 in descending order.
7/2, -1/3, -1.634, -15
Put 718225, 4, 1 in decreasing order.
718225, 4, 1
Sort -69, -1/4, 1, -2/17 in decreasing order.
1, -2/17, -1/4, -69
Put -0.7, -3, 0, -292.5, 0.5 in ascending order.
-292.5, -3, -0.7, 0, 0.5
Sort -275, 0.05, 6/19, -2/53 in ascending order.
-275, -2/53, 0.05, 6/19
Sort 35, 5, 2039, 2, -2, -4 in ascending order.
-4, -2, 2, 5, 35, 2039
Sort 17.19, -3/7, 1/4, -2/9, 4, 194 in descending order.
194, 17.19, 4, 1/4, -2/9, -3/7
Put -6, -4, 3, 64, -165 in decreasing order.
64, 3, -4, -6, -165
Sort 2/11, 3, 0.3, -1792, -17, -2 in descending order.
3, 0.3, 2/11, -2, -17, -1792
Sort -6, -1, 7, 111, -103, 5, -4 in ascending order.
-103, -6, -4, -1, 5, 7, 111
Put 0.3, 0.1, -1/4, 239598 in descending order.
239598, 0.3, 0.1, -1/4
Sort -677, -712, 196 in ascending order.
-712, -677, 196
Sort -0.5, 1, -10662/109 in descending order.
1, -0.5, -10662/109
Sort -4, 5, -23, -0.2, -180/7 in decreasing order.
5, -0.2, -4, -23, -180/7
Put -1, -107, 22, -9, 3, -5 in ascending order.
-107, -9, -5, -1, 3, 22
Sort 147, 3, -1, -5, -69, 1/3 in ascending order.
-69, -5, -1, 1/3, 3, 147
Sort -2/7, -6689, 358, 4, -0.4 in decreasing order.
358, 4, -2/7, -0.4, -6689
Put 0.2, -7, 0.45, 0, 644, -5 in ascending order.
-7, -5, 0, 0.2, 0.45, 644
Sort -58, 47, 5, -3, 2, 4 in decreasing order.
47, 5, 4, 2, -3, -58
Put -7/4, -641, -509 in descending order.
-7/4, -509, -641
Put 1.3, 118, 12, 0.23 in decreasing order.
118, 12, 1.3, 0.23
Sort 8, -0.5, 920/39 in decreasing order.
920/39, 8, -0.5
Put -1, -3, 380097, 0, 6/5, 5 in decreasing order.
380097, 5, 6/5, 0, -1, -3
Sort 18, 1009, -8, -2 in descending order.
1009, 18, -2, -8
Sort -453956, -0.8, -4 in ascending order.
-453956, -4, -0.8
Put 3, 4, -2, -1172900, -11 in increasing order.
-1172900, -11, -2, 3, 4
Put 3/5, -0.4, -76/113, 7, 1.78 in decreasing order.
7, 1.78, 3/5, -0.4, -76/113
Put -7, 2, 5, -1, -4, -319 in descending order.
5, 2, -1, -4, -7, -319
Sort -29, -4, 3, -4.8, 6, 5/7.
-29, -4.8, -4, 5/7, 3, 6
Sort -19429, 6, -20 in descending order.
6, -20, -19429
Put 52, 415832, 1 in ascending order.
1, 52, 415832
Sort -4, 16, 336, -88, -1, -9 in ascending order.
-88, -9, -4, -1, 16, 336
Put -10615, 45, 159 in descending order.
159, 45, -10615
Put 5, 3, 472, 4, 49, -1/2 in ascending order.
-1/2, 3, 4, 5, 49, 472
Sort -1, 4, 32, -2, 2, -20 in increasing order.
-20, -2, -1, 2, 4, 32
Put -5, 124, -0.2, 0, -4, -17768 in decreasing order.
124, 0, -0.2, -4, -5, -17768
Put 4, 0.0084, -3, 9, 2, -0.1 in decreasing order.
9, 4, 2, 0.0084, -0.1, -3
Sort 2/137, 103/4, 3, 0, -2 in increasing order.
-2, 0, 2/137, 3, 103/4
Sort -4, 3, 1, 47847 in decreasing order.
47847, 3, 1, -4
Sort 1, -1463, -2, 23, -4, -22.
-1463, -22, -4, -2, 1, 23
Sort -1, -23, 76018, 5 in ascending order.
-23, -1, 5, 76018
Sort -365, -42, -51, -5, -2 in ascending order.
-365, -5 | {
"pile_set_name": "DM Mathematics"
} |
- 6 + 3 - 1 - 9*q = 0. What is q?
-2, -1
Suppose x - 11 = -8*i + 3*i, 0 = 4*i - 4*x - 28. Find s such that -2*s**4 - 2/3*s**i + 2*s**2 + 4/3*s - 2/3*s**5 + 0 = 0.
-2, -1, 0, 1
Let m(f) be the third derivative of f**6/180 - f**5/45 + f**4/36 - 2*f**2. Let m(i) = 0. What is i?
0, 1
Let d be -10 + 10 - 2/(-6). Let r(j) be the second derivative of -d*j**3 + 4*j + 1/2*j**2 + 1/12*j**4 + 0. Factor r(p).
(p - 1)**2
Let f(o) be the first derivative of -o**5 + 5*o**3 + 5*o**2 + 12. Determine m, given that f(m) = 0.
-1, 0, 2
Suppose -c + 3 = -3*s + 5, 0 = 5*c + 10. Solve s*t - 3/5*t**4 - 3/5*t**2 + 0 - 6/5*t**3 = 0.
-1, 0
Let o(s) be the third derivative of -s**4/12 - 2*s**3/3 - 2*s**2. Let h be o(-5). Factor -8 - 2*m**2 + 4 + h*m + 4*m + 2*m**3 - 6*m**2.
2*(m - 2)*(m - 1)**2
Let t = -100 - -100. Factor -2/7*m**2 + t - 2/7*m.
-2*m*(m + 1)/7
Let g be (-6)/(-3)*(-3)/(-12). Let g*d**4 + 0*d + 0 + 0*d**2 - 1/4*d**3 + 3/4*d**5 = 0. What is d?
-1, 0, 1/3
Let a be 6/8 + 180/(-1008). Let 6/7*b**4 - 8/7*b**3 + a*b + 0 - 2/7*b**2 = 0. Calculate b.
-2/3, 0, 1
Let 0 + s**2 + 1/2*s**3 + 1/2*s = 0. What is s?
-1, 0
Let m(c) be the first derivative of -c**4/14 - 4*c**3/21 - 10. Find n, given that m(n) = 0.
-2, 0
Let o = 541 - 541. What is b in 1/2*b**2 + o + b = 0?
-2, 0
Let r(v) be the first derivative of -v**6/2 + 3*v**5/5 + 3*v**4/4 - v**3 + 27. Determine g so that r(g) = 0.
-1, 0, 1
Let c(p) be the first derivative of p**4/36 - 2*p**3/9 + 2*p**2/3 - 6*p + 5. Let w(m) be the first derivative of c(m). Determine r, given that w(r) = 0.
2
Let g = 5 - 0. Let i = 8 - g. Factor 0*n - 2 - n**2 - 2*n + i*n**2 - 2.
2*(n - 2)*(n + 1)
Let x = 9 + -4. Factor 2*d**5 + d**4 - 2*d**x + d**5.
d**4*(d + 1)
Let o = 45 + 10. Let b = 167/3 - o. Factor -2/3 + 4/3*l - b*l**2.
-2*(l - 1)**2/3
Suppose -32 = 9*d - 13*d. What is u in -16/3*u**2 - d*u**3 - 4*u**4 - 2/3*u**5 + 0*u + 0 = 0?
-2, 0
Let z(l) be the third derivative of -1/30*l**5 + 0*l + 4*l**2 - 1/4*l**4 - 2/3*l**3 + 0. Solve z(s) = 0 for s.
-2, -1
Let w(o) be the first derivative of o**8/1176 - o**2 - 5. Let t(z) be the second derivative of w(z). Determine f so that t(f) = 0.
0
Let q(r) be the first derivative of r**2 - 1/2*r**4 + 2/5*r**5 + 0*r - 4 - 2/3*r**3. Factor q(t).
2*t*(t - 1)**2*(t + 1)
Let c(o) = o**2 - 3*o + 3. Let f(z) = 5*z**2 - 17*z + 17. Let q(v) = -34*c(v) + 6*f(v). Solve q(w) = 0.
0
Let c = 14 - 26. Let d = c - -51/4. Factor -d*g**2 - 1/4 + g.
-(g - 1)*(3*g - 1)/4
Suppose -g - 2*r = r - 10, g + 5*r - 16 = 0. Suppose -3*s + g = -5. Factor s*f**3 + f**3 - f**4 - 2*f**3.
-f**3*(f - 1)
Suppose 6*s - 3 = 3*s. Suppose -2 = -3*b + 10. Factor -8 + 4 - 3*g**b + 6*g**2 + s.
-3*(g - 1)**2*(g + 1)**2
Suppose 67 - 69 = -q. Let y(s) be the second derivative of 0 - 1/6*s**5 - 2/3*s**q + 3*s - s**3 - 2/3*s**4. Suppose y(w) = 0. What is w?
-1, -2/5
Suppose -141*h**5 + 138*h**5 + 5*h**3 + 2*h + 6*h**4 - 14*h + 4*h**3 - 12*h**2 = 0. Calculate h.
-1, 0, 2
Let d = 133 - 65. Factor 3*b - 3*b**3 - 6*b**3 + d*b**2 - 74*b**2.
-3*b*(b + 1)*(3*b - 1)
Determine f so that 343/9*f**3 + 84*f - 24 - 98*f**2 = 0.
6/7
Let q(x) be the first derivative of x**6/60 + 3*x**5/50 - x**4/40 - 11*x**3/30 - 3*x**2/5 - 2*x/5 - 13. Factor q(c).
(c - 2)*(c + 1)**3*(c + 2)/10
Let v(w) = w**2 - 1. Let q(d) = 7*d**2 + d - 8. Let l(p) = q(p) - 6*v(p). Factor l(a).
(a - 1)*(a + 2)
Let y(s) = 7*s + 79. Let z be y(-11). Solve 5/2*x**5 + 7/2*x**4 - 3/2*x**3 - x - 7/2*x**z + 0 = 0 for x.
-1, -2/5, 0, 1
Let o be ((-34)/51)/(7/(-3)). Solve -2/7 + 4/7*s - o*s**2 = 0.
1
Let k(h) = 13*h**5 - 3*h**4 - 24*h**3 + 35*h**2 - 11*h. Let s(j) = -6*j**5 + 2*j**4 + 12*j**3 - 18*j**2 + 6*j. Let n(i) = -2*k(i) - 5*s(i). Factor n(w).
4*w*(w - 1)**3*(w + 2)
Let t be (-3)/8*12/(-189). Let p(y) be the second derivative of 1/7*y**3 - 3*y - t*y**4 - 2/7*y**2 + 0. Solve p(h) = 0 for h.
1, 2
Factor -8*c - 3*c - 6*c**2 - 10*c + 24 + 3*c**2.
-3*(c - 1)*(c + 8)
Let p(g) = -9*g**4 - 17*g**3 - 4*g**2 - 9*g. Let h(s) = -2*s**4 - 4*s**3 - s**2 - 2*s. Let r(l) = -26*h(l) + 6*p(l). Factor r(d).
-2*d*(d - 1)**2*(d + 1)
Let n = -1/6457 - -1188093/32285. Let p = 37 - n. Factor 3/5*z**4 + 1/5*z**5 + 2/5*z**3 - p - 2/5*z**2 - 3/5*z.
(z - 1)*(z + 1)**4/5
Let x = -21 + 23. Let a(r) be the third derivative of 1/168*r**8 + 1/40*r**6 + 0*r + 0*r**3 - 1/24*r**4 - r**x + 1/42*r**7 + 0 - 1/60*r**5. Factor a(k).
k*(k + 1)**3*(2*k - 1)
Let y(u) be the first derivative of 4 + 3/2*u**2 + u**3 - 3*u - 3/4*u**4. What is b in y(b) = 0?
-1, 1
Let k(x) = -57*x**2 - 9*x + 33. Let n(u) = 7*u**2 + u - 4. Let q(y) = -4*k(y) - 33*n(y). Factor q(s).
-3*s*(s - 1)
Suppose 0 = -4*t + 9*w - 8*w + 1, -1 = 4*t + w. Factor t - p + 1/2*p**2.
p*(p - 2)/2
Let d(b) be the first derivative of -7*b**6/180 - b**5/12 + b**4/6 + 4*b**3/3 - 2. Let s(c) be the third derivative of d(c). Determine x so that s(x) = 0.
-1, 2/7
Let h(d) = 36*d**4 + 74*d**3 + 24*d**2 + 4*d - 6. Let g(v) = -35*v**4 - 75*v**3 - 23*v**2 - 4*v + 7. Let r(p) = 6*g(p) + 7*h(p). What is f in r(f) = 0?
-1, -1/3, -2/7, 0
Let j(s) be the first derivative of -3*s**4/20 - s**3/3 + s**2/5 - 5. Determine r so that j(r) = 0.
-2, 0, 1/3
Let x be -2 + -2*(-8 - -2). Suppose 0 = 5*c - 5*f - x, -2*c + 2*f = c - 7. Find o such that 4*o**2 - c*o + 4*o - 2 - 4*o**2 + o**2 = 0.
-2, 1
Let n be (-16)/(-21) + (-4 - 25/(-7)). Let g(t) be the first derivative of -t - n*t**3 + t**2 - 2. Factor g(p).
-(p - 1)**2
Let s(d) be the third derivative of 1/24*d**3 + 3*d**2 + 0*d + 1/32*d**4 + 1/480*d**6 + 0 + 1/80*d**5. Factor s(n).
(n + 1)**3/4
Let r(z) = -z**2 - z + 5. Suppose -10 = 2*w, -5*v + 2*w - 5 = 5*w. Let y(f) = -3*f**2 - 10 + 5*f**v - 4 + 3*f + f. Let m(i) = 8*r(i) + 3*y(i). Factor m(b).
-2*(b - 1)**2
Let l(h) be the second derivative of -h**9/60480 - h**8/26880 - h**4/6 - 5*h. Let b(m) be the third derivative of l(m). Factor b(r).
-r**3*(r + 1)/4
Let c(r) be the third derivative of -r**5/60 + r**4/24 + r**3/2 + 6*r**2. Let i(o) = -o**2 + o + 5. Let t(f) = -5*c(f) + 3*i(f). What is x in t(x) = 0?
0, 1
Suppose 0 = -6*c + 6 + 6. Suppose 3*w = 2*w + 3*d + 6, -w + d = -2. Factor -2/7*q**5 + 0*q + w*q**c - 4/7*q**4 - 2/7*q**3 + 0.
-2*q**3*(q + 1)**2/7
Let s = 0 + 5. Suppose 5*b + 14 = q, -1 = -q - s*b - 7. Find h such that 0*h + 0 - 1/2*h**3 + 1/2*h**2 - 1/2*h**q + 1/2*h**5 = 0.
-1, 0, 1
Let a(q) = q**2 - 7. Let d be a(-3). Let t(k) be the first derivative of 0*k**d + 2/15*k**3 - 2/5*k + 2. Factor t(b).
2*(b - 1)*(b + 1)/5
Let a(o) = 5*o. Let j be a(-2). Let v be -8*(1/j + 0). Factor -v*g + 2/5*g**2 + 0.
2*g*(g - 2)/5
Let n(m) = -m + 14. Let k = 24 - 13. Let r be n(k). Factor 3*h**r + h**3 + 5*h**2 - 2*h**3 + 2*h - h**2.
2*h*(h + 1)**2
Suppose 0 = -4*b + 2 + 18. Let f(i) be the first derivative of 3 - 2/5*i**b + 0*i - 2/7*i**3 + 6/7*i**4 - 2/7*i**2. Let f(q) = 0. Calculate q.
-2/7, 0, 1
Find w, given that 0 - 2*w + 2/3*w**2 = 0.
0, 3
Let a be -1 - (-2)/2208*-374. Let r = -1/184 - a. Factor 2/3*u**3 + 0 + 2*u**2 + r*u.
2*u*(u + 1)*(u + 2)/3
Factor 4*l - 10*l**2 - 3*l + 3*l - 2*l**4 + 8*l**3 + 0*l.
-2*l*(l - 2)*(l - 1)**2
Factor -2/7*l**3 + 0*l**2 - 1/7*l**4 + 2/7*l + 1/7.
-(l - 1)*(l + 1)**3/7
Factor -5*f + f**3 + 3*f - 5*f + 3*f.
f*(f - 2)*(f + 2)
Let a be (-41)/(-9) - 48/(-108). Solve 8/3*p**2 - 2/3*p**a + 4/3*p**3 - 4/3 - 2/3*p - 4/3*p**4 = 0.
-2, -1, 1
Let y(l) be the third derivative of -125*l**8/1512 + 5*l**7/189 + l**6/6 - 26*l**5/135 + 2*l**4/27 - 12*l**2. Factor y(x).
-2*x*(x + 1)*(5*x - 2)**3/9
Let a be ((-2)/(-6) - 6/(-18))*6. Let z(y) be the first derivative of 2/15*y**3 + a - 4/5*y + 1/5*y**2. Determine v so that z(v) = 0.
-2, 1
Let q(t) be the third derivative of 0 + 1/28*t**4 + 2/21*t**3 + 1/210*t**5 + 0*t - 4*t**2. Find z such that q(z) = 0.
-2, -1
Let c(v) be the first derivative of v**4/48 + v**3/6 + v**2/2 - 2*v - 2. Let q(i) be the first derivative of c(i). Factor q(h).
(h + 2)**2/4
Let t be 2/8 + 7/4. Suppose 0 = 4*v + 5*b - 13, 3*v = -b + 5*b + 2. Determine z so that 2*z**3 + 6*z**2 + 2 + 4*z + 0*z**v + t*z = 0.
-1
Let z be 16*((-15)/(-6) + -2). Let c be (2/(-6))/((-12)/z). Find a such that -c*a**2 + 4/9*a - 2/9 = 0.
1
Determine d, given that 1/4*d - 1/2 - 21/4*d**3 + 11/2*d**2 = 0.
-2/7, 1/3, 1
Suppose -4 - 2 = -w. Factor 21*d**3 + 15*d - 10*d**2 + 0 - w*d**4 - 17*d**2 - | {
"pile_set_name": "DM Mathematics"
} |
+ 16*p. Determine j(m).
0
Let m be 10*2/4 + -5. Suppose v + 5*w = -m*v + 18, 0 = -4*v - 3*w + 4. Let z(f) = -f**3 + f**3 - f**2 - f + f**3. Give z(v).
-10
Let d(i) = i**3 - 37*i**2 - 22*i - 15. Let s(v) = -19*v**2 - 11*v - 8. Let l(g) = -2*d(g) + 5*s(g). Calculate l(-10).
0
Suppose -3*m = 5*d + 22, 68 = -116*m + 112*m + 3*d. Let w(i) = i**2 + 15*i + 15. Give w(m).
1
Let o(c) = c**2 - 3*c - 3. Suppose -3*r - j + 17 = 0, 0 = 47*j - 45*j - 4. Determine o(r).
7
Let o(t) be the third derivative of t**6/120 + t**5/60 - t**4/24 + 2*t**3/3 - 14*t**2 - 1. Determine o(-2).
2
Let g(k) = k**3 - 11*k**2 + k - 7. Let i be g(11). Let x be (-2 + -8)*(-2)/i. Let m(o) = -o + 3*o - x + 8. Calculate m(-2).
-1
Let n(x) be the third derivative of -x**8/6720 - x**7/630 + x**6/80 + 7*x**5/120 - x**4 + 7*x**2. Let t(b) be the second derivative of n(b). Determine t(-6).
25
Let i be 5*((-5)/(-2) + 481/(-74)). Let k(n) = n + 18. What is k(i)?
-2
Let c(j) = 23 + 5*j - 12 - 12. Let h be 567/28 + 1/(-4). Let r = h + -18. Give c(r).
9
Let c(l) be the second derivative of 11*l**4/3 - l**3/3 + l**2/2 + 107*l. Calculate c(1).
43
Let t(u) = -u + 2. Let g(m) = m**3 - 7*m**2 + 2*m + 14. Let k be g(6). Let q be 310/50 - (-2)/k*1. Determine t(q).
-4
Suppose y = 3*x + 24, -3*x = -7*x - 8. Let s(f) = 3*f - 1 - 10*f**2 - 6*f**3 + y*f**2 - 4*f - 9*f**2. What is s(-1)?
5
Let m(q) be the second derivative of 0 - 1/20*q**5 - 7/6*q**3 + 5/2*q**2 + 5/12*q**4 - q. Let f(x) = x + 1. Let c be f(3). Give m(c).
-7
Let u = -22 - -16. Let q(d) = -4*d**2 - 27*d + 23*d + 3*d**2 + 8. Calculate q(u).
-4
Suppose -29 = o - 26. Let z be 12/2 + (o - -1). Let b(t) = 0*t + 3*t - 4 - t. Determine b(z).
4
Suppose 9*m + 5*m = 84. Let d(y) = 27*y**2 - 1 + m - 28*y**2. What is d(-5)?
-20
Let m(c) = -c**3 - 5*c**2 + 8*c + 3. Let f be 2*(-4)/((-8)/11). Let y(p) = -6*p**3 - 24*p**2 + 41*p + 15. Let n(a) = f*m(a) - 2*y(a). Give n(6).
3
Let b = -6 + 12. Let v(m) = 98 - 6*m - 34 - 63 + m**2. What is v(b)?
1
Let t(p) = 10*p + 128. Let s be t(-13). Let j(q) = -13*q + 1. Determine j(s).
27
Let o = 8 + -13. Let b(y) be the second derivative of -y**5/60 - 5*y**4/24 + y**3/2 + 7*y**2/2 - 11*y. Let r(z) be the first derivative of b(z). What is r(o)?
3
Let b(o) = -8*o**2 - 6*o + 17. Let y(c) = 17*c**2 + 12*c - 36. Let a(v) = -13*b(v) - 6*y(v). Let r be (-28)/6 - (-1)/(-3). Give a(r).
15
Suppose 0 = 5*d - 104 + 39. Suppose -t - d = -15. Let r(j) = -4*j - 2. Calculate r(t).
-10
Let p(t) = -5*t - 3. Let d be (-12)/((-36)/(-21)) - -3. Give p(d).
17
Let f(o) = -1. Suppose 3*i - 8*x = -4*x + 41, 3*x = -2*i + 16. Let q(v) = i + 0*v**2 - 3*v + v**2 - 5. Let y(s) = -5*f(s) - q(s). Calculate y(1).
1
Let w be ((-26)/8 - (-144)/192)/(-5). Let k(o) be the second derivative of 0 - 11/12*o**4 - w*o**2 - 4*o + 0*o**3. Give k(-1).
-12
Let x(r) = -25*r + 21*r - 21*r - 2. Let p(g) = -12*g - 1. Let d = 12 - 18. Let y(v) = d*x(v) + 13*p(v). Give y(-2).
11
Let r(u) = u**3 - 9*u**2 - u + 3. Let s(f) = f**3 - 11*f**2 - f + 3. Let l(b) = -6*r(b) + 5*s(b). Let h be (0/1)/(5 + -7). Determine l(h).
-3
Suppose -2*x - 7 = h - 15, -5*x = -h + 8. Let s(i) = -3*i + 22. Give s(h).
-2
Let w(b) be the third derivative of -b**7/1008 + b**6/720 + 11*b**5/60 - 38*b**2. Let z(j) be the third derivative of w(j). Give z(2).
-9
Let u = 28 - 4. Let g = 30 - u. Let n(r) = -r**3 + 5*r**2 + 3*r + 8. Give n(g).
-10
Suppose -y = -5*y - 24. Let q(x) = x**2 - 1. Let b(m) be the first derivative of -13*m**3/3 + m**2/2 + 6*m - 14. Let h(u) = y*q(u) - b(u). What is h(-1)?
8
Let z(i) = -4*i - 5. Let q(r) = 3*r + 3. Let c(y) = 7*q(y) + 5*z(y). Suppose -13 - 8 = -7*n. Give c(n).
-1
Let s(j) = 5*j + 7. Let q(d) = 9*d + 14. Let m(y) = 4*q(y) - 7*s(y). Let f(w) = -8 + 14*w - 11*w + 20. Let l be f(-6). Give m(l).
1
Suppose -29*v + 43*v = 112. Let n(g) be the first derivative of 3*g**2 + v + 1/3*g**3 + 0*g. Give n(-5).
-5
Let q(s) be the second derivative of s**4/12 - 3*s**3/2 + 4*s**2 + 92*s. Give q(8).
0
Let i(o) = -o**2 - 5*o. Let h(x) = -x**2 + 11*x + 74. Let j be h(16). Determine i(j).
-6
Let q(i) = 308 - 3*i - 302 - i**2 + 6*i - 25*i. Give q(-22).
6
Let g be (7 - 8)/(0 - -1). Let s(j) = 2*j**3 - j**2 + 7. Let n(c) = c**3 - 1. Let d(k) = 6*n(k) + s(k). What is d(g)?
-8
Suppose -3*t - 26 = -5*w, -t - w + 18 - 24 = 0. Let g(c) = -c**3 - 8*c**2 - 7*c - 8. Give g(t).
-8
Let f = -124 + 141. Suppose -19*p + f*p = 0. Let u(s) = -s**3 - s**2 - s - 4. What is u(p)?
-4
Suppose v + 3*v = 12. Let d(i) = i**2 + 4*i**2 - 5*i - 3*i**2 - v*i**2. Calculate d(-4).
4
Let f(k) = -2*k**3 + 2*k + 0*k**3 + k**3 + 6*k**2 - 6. Let t be (27/15)/((-6)/30). Let a = t - -15. Determine f(a).
6
Let j(d) = 10*d**2 + 15*d + d**2 - 7 + d**2 - 2*d**2. Let a(i) = -3*i**2 - 5*i + 2. Let b(y) = -7*a(y) - 2*j(y). Calculate b(-7).
14
Let m(y) = -4*y**3 - 5*y**2 + 19*y - 4. Let b(x) = 3*x**3 + 6*x**2 - 17*x + 4. Let l(i) = 5*b(i) + 4*m(i). Calculate l(9).
4
Let w(u) = 10*u - 153. Let a be w(16). Let z(f) = f**3 - 6*f**2 - 8*f - 10. What is z(a)?
-17
Let x = 378 - 388. Let i(y) = y**3 + 11*y**2 + 14*y + 34. Give i(x).
-6
Let x = 1 + 7. Let v(r) = x*r**2 - r - r**2 - 3 - 3 - 6*r**2. Calculate v(-5).
24
Let o(j) = j - 2. Let u = 19 + -13. Suppose 4 = u*x + 40. What is o(x)?
-8
Let k(v) = -2*v + 2. Let c be k(0). Suppose 4*u = 2*w - 18, c*u - 2*w + 19 = -3*w. Let z(f) = -f - 6. Determine z(u).
1
Let m be (-1)/((-11)/(-6) + -2). Suppose 0 = -5*z + 9 + 21. Let w(n) = -z + 2 + 2*n - 2 + 3. Give w(m).
9
Let d(w) = -w**3 + 7*w**2 - w - 3. Suppose -2*a + 62 = 5*v - 3*a, 0 = -3*v + 5*a + 24. Suppose -v - 1 = -2*j. Give d(j).
-10
Let s(l) = -l + 34. Let o(w) = 2*w + 65. Let g(v) = 2*o(v) - 5*s(v). Calculate g(5).
5
Let f(y) = -2*y**2 + 2*y + 3. Let m(q) = 10*q**2 + 2*q - 7. Let i(v) = -v**2 - v. Let n(u) = 6*i(u) + m(u). Let g(a) = 5*f(a) + 2*n(a). What is g(-2)?
-11
Let r(i) = -6*i - 2. Let b(p) = -p. Let n(o) = 16*b(o) - 3*r(o). Determine n(-8).
-10
Let b(t) = -t + 10. Let i be (432/(-240))/(3/(-20)). Determine b(i).
-2
Let l(m) be the second derivative of m**3/6 - 2*m**2 + 67*m. What is l(0)?
-4
Let t(x) = -2*x**2 - 36*x - 62. Let i(m) = m**2 + 18*m + 31. Let l(k) = -5*i(k) - 3*t(k). Let h be l(-16). Let b(g) = -7*g**2 - g. Determine b(h).
-6
Let j(s) = -3*s - 31. Let z(x) = -3*x**2 + 7*x - 9. Let l be z(0). Determine j(l).
-4
Let z(v) = -53*v**2 + 8*v + 7 + 52*v**2 - 9*v. Determine z(5).
-23
Let l be ((-6)/4)/((-14)/(840/9)). Let o(u) = -u + 14. Determine o(l).
4
Let f(u) = -10*u + 4*u + 4*u**2 + u**3 + 10*u - 1. Calculate f(-4).
-17
Let n be 2/8 + 390/104 - 14. Let f(w) = 2*w + 11. Give f(n).
-9
Suppose -6*k - 21 = 39. Let o(x) = -x**3 - 11*x**2 - 11*x - 9. Let s be o(k). Let q(c) = -9*c - 4. Let l(g) = -g - 1. Let y(u) = 5*l(u) - q(u). What is y(s)?
3
Let h(c) = -c**3 + 9*c**2 - 7*c + 7. Let b(k) = -3*k**3 + 26*k**2 - 19*k + 21. Let o(y) = -6*b(y) + 17*h(y). What is o(5)?
18
Let o(z) be the first derivative of -7*z**2/2 - 5*z + 14. Determine o(-5).
30
Suppose 3*h = 3*w + 15, w = -3*w - 5*h - 38. Let q(r) = -46 + 41 + 0*r - r - 2. Calculate q(w).
0
Let x be 15/(-6) - (-1)/(-2). Let p = 0 + x. Let o(w) be the first derivative of -w**2 - w - 39. Calculate o(p).
5
Let k(j) = -5*j + 34. Let i(l) = 4*l**2 - 16*l - 14. Let s be i(5). Calculate k(s).
4
Let w(f) = -f. Suppose 5*u - c + 29 = 0, 3*c = 2*u + 5*c + 14. Calculate w(u).
6
Let a(j) = j**3 - 8*j**2 + 7*j + 2. Let w be a(7). Let x(b) = -3 - 2*b - 6*b + 10*b + b**2. Determine x(w).
5
Let v(x) = 3*x - 6 - 2*x - 3*x + x. Determine v(-5).
-1
Let r(q) = 7*q**3 + 12*q**2 + q - 5. Let d(y) = 15*y**3 + 25*y**2 + 3*y - 11. Let w(n) = 6*d(n) - 13*r(n). Let m(p) = p**2 - p - 7. Let h be m(0). What is w(h)?
13
Let o(g) be the third derivative of g**4/24 - 7*g**3/2 - 219*g**2. Give o(7).
-14
Let l(j) = -3*j + 15. Let q(y) = -y + 5. Let t(s) = 4*l(s) - 11*q(s). Let i = 216 + -223. Calculate t(i).
12
Let m(f) = f**2 + 16*f + 54. Let h be m(-5). Let l(y) = -16*y**2 + 7*y + 7. Let k(o) = 24*o**2 - 11*o - 11. Let s(d) = 5*k(d) + 8*l(d). Determine s(h).
-8
Let o = 1 + -1. Let s(u) be the third derivative of 3/2*u**3 + 1/24*u**4 + 15*u**2 + 0 + 0*u. What is s(o)?
9
Let g = -100 + 155. Let k = g + -60. Let p(l) be the third derivative of l**4/12 + 2*l**2. What is p(k)?
-10
Let g(i) = i + 10. Let | {
"pile_set_name": "DM Mathematics"
} |
lculate 1.1*8904.
9794.4
1 times 24.1543
24.1543
Multiply 231 and -148.
-34188
What is the product of -827 and 11.38?
-9411.26
-267*-40
10680
Calculate 4*-77179.
-308716
0.07 times 443903
31073.21
Work out 3170 * -0.21.
-665.7
Calculate 79071*0.036.
2846.556
What is the product of -7 and -0.049333?
0.345331
Product of 757.8 and -8.
-6062.4
-0.3 * 5452
-1635.6
4.57 times -987
-4510.59
What is the product of -2 and 23488?
-46976
0.1422 * 0.087
0.0123714
-0.87 * 458
-398.46
-19969 * -50
998450
Work out 337 * 145.
48865
-20.8*759
-15787.2
What is the product of 73 and -32300?
-2357900
0.2*7910.15
1582.03
Work out 2 * 4.059.
8.118
Work out 53.832 * 0.3.
16.1496
284*-1252
-355568
-0.6*-76.8
46.08
Multiply -3327 and -5.
16635
Product of 100105 and 0.3.
30031.5
Product of -1394 and -21.
29274
9 times -0.141
-1.269
954 * 53.6
51134.4
-93909 times -0.7
65736.3
What is 2.43 times 208?
505.44
Product of -3.5944 and -11.7.
42.05448
What is -2948 times -1.3?
3832.4
-1.2*-45346
54415.2
What is the product of 45.53 and 2.9?
132.037
Multiply -0.45843 and 4.
-1.83372
Calculate -1.8282*-0.02.
0.036564
0.4*-4917
-1966.8
Multiply 2.7 and 2081.
5618.7
-22 * 1280
-28160
Product of 2036.4 and 2.
4072.8
Multiply 2655.6 and -0.4.
-1062.24
What is -118 times 245.6?
-28980.8
-3 * -202939
608817
143005*0.4
57202
Work out 5 * 13765.
68825
Multiply 210174 and 6.
1261044
Work out 259.15 * 0.1.
25.915
What is the product of 3 and -33588?
-100764
-5104775*0.3
-1531432.5
What is -381589 times 4?
-1526356
Product of 61 and 15.654.
954.894
Calculate -1620152*-4.
6480608
0.6*-0.715
-0.429
-0.1 times -183271
18327.1
-7.89 * 0.234
-1.84626
0.2 * -5280.7
-1056.14
-0.061*0.0686
-0.0041846
What is the product of -0.5 and -46608?
23304
Multiply -1.2311 and 0.14.
-0.172354
Product of 31.5499 and 0.5.
15.77495
Calculate -0.2*234712.
-46942.4
What is the product of -25.544 and -2?
51.088
Calculate 0.1*-578.
-57.8
What is -7 times -2916?
20412
Calculate -12.7795*1.8.
-23.0031
-19.409 * -0.069
1.339221
What is the product of 11.603 and 0.1?
1.1603
1275*-350
-446250
8 times 902829
7222632
Multiply -0.40862 and 24.
-9.80688
Product of 0.5 and -1992942.
-996471
What is 7 times 11.08?
77.56
Product of 0.7 and -253472.
-177430.4
Product of 5040552 and 0.2.
1008110.4
19494*-0.5
-9747
Product of 1783284 and 4.
7133136
What is -2.42281 times 0?
0
3*47916
143748
What is the product of -0.5 and -885.3?
442.65
Multiply 405.405 and 0.3.
121.6215
What is -37772 times -0.05?
1888.6
Product of -13693 and -3.
41079
Work out 2.6 * -20.66.
-53.716
What is the product of 11730 and 1.1?
12903
Work out -865354 * -3.
2596062
What is the product of 6.1 and 23193?
141477.3
Calculate 162*-190.
-30780
0.8654 times 0.4
0.34616
-1.5*8975
-13462.5
Work out 0.126055 * -14.
-1.76477
-274 * -1459
399766
What is 0.5 times -0.024091?
-0.0120455
-50 * -1442.9
72145
Calculate 910*0.623.
566.93
-4.9522 * -0.3
1.48566
Calculate 58*599.
34742
Multiply 0.01004 and 6.
0.06024
-5233*98
-512834
253 * -17.3
-4376.9
-1 * -7.356
7.356
Product of -9837 and 0.0001.
-0.9837
-2 times -2.42545
4.8509
What is 89533.4 times 2?
179066.8
11 times -386.75
-4254.25
Work out -9 * -10986.
98874
Work out -18 * 542.7.
-9768.6
Calculate -3206*9.5.
-30457
Product of -17.302 and -0.18.
3.11436
Calculate -2*-191.82.
383.64
Work out 0.1426 * 3140.
447.764
Multiply 11.426 and 0.2.
2.2852
-137472*-1.4
192460.8
What is the product of 63927 and 0.4?
25570.8
5 times 2288
11440
Product of 4 and -3.17797.
-12.71188
-4*54711
-218844
What is the product of 13 and -0.4559?
-5.9267
219280*0.01
2192.8
21*66040
1386840
What is the product of 5 and -9920?
-49600
Multiply -55.35 and -7.
387.45
What is -7.68 times 29.8?
-228.864
-35631 times -0.5
17815.5
Product of -0.2 and -0.0272.
0.00544
What is the product of -189.738 and 0.5?
-94.869
What is the product of 0.0164 and -108?
-1.7712
What is 0.061 times 0.096?
0.005856
What is the product of -3.46 and 41.4?
-143.244
Calculate -164417*-5.
822085
-0.2 times 0.037714
-0.0075428
Multiply 275.3 and -22.95.
-6318.135
What is -1 times -5028?
5028
Calculate 0.077*81.
6.237
18.1469 * -0.3
-5.44407
Calculate -0.145*542.
-78.59
What is -0.09 times -3373?
303.57
-1.1 times 2428
-2670.8
What is the product of -9592 and 0.2?
-1918.4
-208460 times -5
1042300
430 times -0.02192
-9.4256
-7.41 times -0.1123
0.832143
Work out -429510 * -1.
429510
What is -1003.39 times -12?
12040.68
2134 * 2
4268
0.4*182.26
72.904
5*-0.0054
-0.027
Calculate 127.0495*2.
254.099
Product of -0.1 and 2944.
-294.4
9159.66 * -2
-18319.32
1.33 * -0.0091
-0.012103
-0.3 times 334698
-100409.4
What is -8905 times -18?
160290
What is -320701 times 0.1?
-32070.1
Product of 16179 and 1.9.
30740.1
What is the product of 126 and -184?
-23184
1.99 times 0.69
1.3731
-0.019089*-0.33
0.00629937
Multiply -612 and 87.
-53244
-3 * -543991
1631973
-5.65 * -0.13
0.7345
Calculate 1904.99*16.
30479.84
-99.394 * -0.05
4.9697
4301*0.2
860.2
0.42 times 6900
2898
Calculate -22.21*13.3.
-295.393
Multiply -4.7 and -1297.
6095.9
Calculate 16*0.33983.
5.43728
What is 5 times 60443?
302215
Multiply -1345 and 2.3.
-3093.5
-0.2 times 378874
-75774.8
-11781 times 25
-294525
Product of 9 and 11397.
102573
6.524 times 0.19
1.23956
What is -2.7 times 803?
-2168.1
What is -629.81 times -0.5?
314.905
-1847.1 * -8
14776.8
Product of -1.64 and 0.144.
-0.23616
0.209156 times -0.3
-0.0627468
-0.09 * -121.752
10.95768
0.5 times -509653
-254826.5
What is -0.0104 times -1717?
17.8568
Calculate -0.1*29369.8.
-2936.98
Multiply 663964 and -0.2.
-132792.8
8.441*-3
-25.323
Work out -0.02 * -6158.7.
123.174
-184 times -1398
257232
Product of -0.406002 and -2.
0.812004
0 * 1.533
0
-9.92 times -816
8094.72
Product of 1 and 1910.
1910
-275 times -6
1650
Work out 2.99 * -0.12.
-0.3588
Work out 0.027 * -28.
-0.756
Calculate -11023*-16.
176368
What is the product of 0.1 and 27709?
2770.9
16188 * -2
-32376
What is the product of 9130.3 and -0.4?
-3652.12
Work out 42514 * 0.4.
17005.6
What is 1364 times 5.6?
7638.4
What is the product of 4819 and -0.289?
-1392.691
89261 * -17
-1517437
Product of -20.2 and 31.
-626.2
0.28927 * 0.4
0.115708
Multiply 545 and -8476.
-4619420
Product of 658.92 and -5.
-3294.6
What is the product of 315074 and 2?
630148
What is -61 times 181?
-11041
-3 * -0.16333
0.48999
What is the product of -0.02 and 279031?
-5580.62
Work out 327.68 * 0.1.
32.768
What is -1065 times 105?
-111825
Multiply -0.411 and -304.
124.944
Product of -925.41 and -0.5.
462.705
What is the product of 42996 and -11?
-472956
Calculate 0.4*-0.13521.
-0.054084
-5328 times -2
10656
Calculate -0.5*23263.
-11631.5
What is the product of 1 and 7523?
7523
9*0.068237
0.614133
-0.95 * 104.5
-99.275
Work out -16553 * 0.08.
-1324.24
Product of 185.1 and 96.
17769.6
What is the product of -6571.51 and -0.4?
2628.604
Calculate 11*-0.141.
-1.551
-497 times 755
-375235
Product of 3 and -282274.
-846822
109 times 12.09
1317.81
What is the product of -3 and -109448?
328344
Product of 1 and 1846.9.
1846.9
Multiply -0.45703 and -0.6.
0.274218
Multiply 1.5 and 76301.
114451.5
Product of 17.76 and -9.
-159.84
What is the product of -18.986 and 0.2?
-3.7972
-1.04*-70.66
73.4864
What is the product of 7 and 1.373?
9.611
Multiply -0.02649 and 0.3.
-0.007947
26238*0.1
2623.8
Product of 0.06 and 0.23788.
0.0142728
Product of -222.032 and -5.
1110.16
What is -0.1 times -7333?
733.3
-0.25399 times -3
0.76197
Calculate -894*-8.1.
7241.4
Work out -15 * -0.102.
1.53
Work out -55715 * -0.07.
3900.05
-71 times -3083
218893
Work out 1.6993 * 0.3.
0.50979
Calculate 0.2*0.0523.
0.01046
4209 * 3.4
14310.6
What is the product of -421 and -1327?
558667
-54 times -1888
101952
Calculate 4137*0.52.
2151.24
-282 * -26
7332
Product of 693.97 and 0.6.
416.382
What is the product of -8 and -16.99?
135.92
What is 0.2 times 0.006802?
0.0013604
What is -515 times 30?
-15450
Product of -0.918 and -8.
7.344
11518 times -34
-391612
Work out 0.03 * -246.151.
-7.38453
What is -0.5 times 0.5162?
-0.2581
0.38272*0.06
0.0229632
0.3 times -32.534
-9.7602
4 times -18403
-73612
Product of -0.025 and -135.4.
3.385
Work out -4 * -4.1828.
16.7312
Work out 2 * -1.2817.
-2.5634
1.07*0.1
0.107
797.2 times -4
-3188.8
Work out -134 * 0.07047.
-9.44298
23 * -43069
-990587
-417819*1 | {
"pile_set_name": "DM Mathematics"
} |
= 5*u - 17 + d. Solve -2*h + 5*x = -h - 5, 0 = -u*x for h.
5
Let n be 0 - (0 - 26/1). Let w(j) = n*j - 14*j - 2*j**2 - 12*j. Let i be w(0). Solve -2*s - 12 = 2*f, -2*f + 4*s - 2*s = i for f.
-3
Let g(n) = -5*n**2 + 5*n - 2. Let h be g(2). Let t(d) = d + 17. Let j be t(h). Let k be 6/(-10)*(-70)/21. Solve -4*r - j*u + 19 = 0, -5*r = k*u - u - 8 for r.
1
Let v(q) = 4*q - 44. Let i be v(13). Suppose 2*a = 2*x + 4 - i, -2*x + 2 = -3*a. Suppose 2 + 0 = c. Solve x*t = 2*h + 8, c*h = h for t.
2
Let k(u) = u**2 - 108*u + 214. Let q be k(106). Solve 2*s = -q*m - 8, 20 = -0*s - 5*s + m for s.
-4
Let g = -149 + 120. Let z be 4/18 + (-843)/27. Let t = g - z. Solve -4*a - i = a - 7, -t*a + i = -7 for a.
2
Let u = 331 - 319. Let c = 20 - u. Solve -3*w + 5*z - 23 = 0, 4*z = 2*z + c for w.
-1
Let g be (-1 + 2)*(21/7 - 1). Let u(w) = 3*w**2 - w. Let f be u(1). Solve -2*v - 16 = f*y, v - 13 = g*y - 6 for y.
-5
Let y(p) = 17*p**3 + p**2 - 2*p + 1. Let m be y(1). Suppose 6*a - 2*a - 2*j + 298 = 0, -5*j = -25. Let o = 87 + a. Solve -t + 3*x = -m, -x - o = t + 4*x for t.
5
Let k = 913 + -903. Let n(m) = -m - 5. Let i be n(-8). Solve 1 + k = 5*w - i*x, -14 = -4*w + 5*x for w.
1
Let b be (0 + -50)*(21/14 + 12 + -14). Solve 110*i - 115*i = -s - b, -s - 21 = -4*i for i.
4
Let d(f) = 7*f**2 + 56*f + 130. Let n be d(-3). Solve 4*w - 20 = 2*r, -5*w - 33*r = -29*r - n for w.
5
Let l = 7 + 15. Let c = 1 + l. Suppose -3*q - q - 3*a + c = 0, -2*q - a = -9. Solve 4*f = -3*z - 3 - 7, z = 4*f + q for z.
-2
Let y = -57 - -7. Let r = y - -80. Suppose -9*s + 6*s = -r. Solve -5 - s = w - 5*u, -2*w + 2*u = 14 for w.
-5
Let n be -3 + -2 + (3 - (-91)/7). Suppose n - 31 = -10*i. Solve -4*c + 4*z = -z + 2, 0 = 5*c + i*z - 14 for c.
2
Suppose 6 = 2*a, 3*a + 1 = j + 5. Suppose -j*h = 7*h - 36. Solve o = h*l - 10, 4*l + 0 = -3*o + 9 for o.
-1
Suppose -46 + 11 = -20*n + 5. Solve 2*m - 6 = -0*o + n*o, -3*m - 16 = 2*o for o.
-5
Suppose -56*d = 51*d + 37*d. Solve o + 3*c - 4 = d, -46*c - 5 = -o - 50*c for o.
1
Let r(w) = -2*w**2 + 38*w - 47. Let f be r(17). Let z be -8 - (-154)/f - 17/(-3). Solve z*d + 3*a = a + 20, -d = -3*a - 4 for d.
4
Let g be -4 + 4 + 4 + -1. Suppose 59 - 279 = -44*p. Solve g*y = -p*o + 7, -2 = -5*o - 7 for y.
4
Let l(u) = u**2 - 2*u - 12. Let m = -233 - -238. Let c be l(m). Solve -4*t + 5*x = -18, -3*t + x + 5 = -c for t.
2
Suppose -55*i + 84*i + 441 = 50*i. Solve 5*f + 18 = -2*g, -3*f + 5*g = -35 + i for f.
-2
Let k(b) = b**3 - 42*b**2 + 84*b - 110. Let s be k(40). Solve 0 = -5*l + 3*d, 4*l - s*d = -46*d for l.
0
Suppose -2*l + 5 = 25. Let y(w) be the third derivative of w**4/24 + 5*w**3/3 - 633*w**2. Let r be y(l). Solve 3*j = -r*v - 4*v + 8, -j = -4*v + 8 for j.
0
Let d(c) = -44*c - 1. Let n be d(-1). Suppose 0 = -8*s + n + 205. Suppose -5*y + s + 39 = 0. Solve 3*k + 14 = 2*k + 3*a, -3*k = -2*a + y for k.
-2
Let g be 53 + 36/(-18) - 3. Solve n + 3*n - g = 4*p, -10 = -5*n - 5*p for n.
7
Suppose 4*j + 5 = -7. Let l be ((-27)/6)/(j/2). Let v be -5 + 4 - 2 - -3. Solve v = 5*d - 3*d - 5*b - 7, -d - 4*b - l = 0 for d.
1
Let r be ((-44631)/(-304))/29 + 1/(-16). Solve r = 2*d - 3*q - 2, -4*q = -d + 1 for d.
5
Suppose -935*a + 909*a + 286 = 0. Solve -o = 5*j + 7, -12 = 3*j - o - a for j.
-1
Let s(g) = -g**3 + 6*g**2 + 11*g - 7. Let d be s(7). Suppose 9*x - 294 = d. Let v = x + -31. Solve 3*u = 4*a + 20, 3*u + 15 = -3*a + v*u for a.
-5
Suppose 100*r = 88*r + 60. Solve -r*u = 2*y - 4 - 11, -5*y + 4*u = -21 for y.
5
Let a = 4998 - 4960. Solve -4*m - 4*w = 16, 5*m + 33*w = a*w + 30 for m.
1
Let f be (-1 + (-2)/4)*(-1320)/180. Suppose f - 50 = -13*h. Solve u = 2, -h*m + u = -8*m + 27 for m.
5
Suppose 14*z = 15*z - 5*a + 2, -2 = -2*a. Solve z*l - 6 = 3*k + 3, 4*l + 4*k = 28 for l.
5
Let b(c) = 3*c**2 + 90*c + 92. Let s be b(-29). Solve -4*x + 8 = -s*u - 3, -2*x = -4*u - 10 for u.
-3
Let z(k) = -89*k**2 + 7*k + 6. Let i be z(-1). Let h = -87 - i. Solve -2 = 2*f + 4*x, h*f + 2*f = -4*x - 11 for f.
-3
Let f(i) = -34*i + 1226. Let m be f(36). Solve 0 = -2*r - m*o + 10, -4*o - 23 + 47 = 5*r for r.
4
Suppose u = i - 3, 3 = -3*u - 9*i + 10*i. Solve 0 = 4*a - u*v + v - 22, 5*v = 10 for a.
5
Let j be (5/6)/(2/(10 - -2)). Suppose j*x + 8*z - 5 = 3*z, -3*z = 12. Solve -3*l = 5*q + 7, -3 = 3*l + x*q - 2*q for l.
1
Let y be 3 + 79 + (-1 - 3). Let u = y + -78. Solve 3*d = -4*q + 2*q - 4, u = 5*q + d + 10 for q.
-2
Suppose -6*o + 1 = 1. Let s be (-20)/(-10)*(-1 + o). Let h be -4 - (-21)/(5 + s). Solve 4*j - 7 = -3*v - 22, h*j = -2*v - 11 for j.
-3
Let t be ((-90)/(-375)*-5)/((-4)/10). Solve 0 = -5*m - 4*z - z - 15, -z = -4*m + t for m.
0
Let n be 2/(-6)*(-20 + 20). Solve n = -4*u, -2*u - 13 = 3*v - 4 for v.
-3
Suppose -104 = -4*x - 8. Let q be (-138)/((-66)/x + (-3)/(-4)). Suppose 0 = 5*l + q - 74. Solve 3*i + 4*y - 6 = 0, 5*i + 2*y + y + l = 0 for i.
-2
Let k be 6/(-9) - (-232)/(-12). Let d = -16 - k. Suppose -317 = 26*m - 369. Solve 0 = -d*v, 2*f + 3*v = m - 8 for f.
-3
Let k be 20/15 - 6543/27. Let c = k + 243. Solve 0*u + 5*u - 31 = c*y, u = 5 for y.
-3
Let t(c) = -13*c - 12. Let y be t(5). Let j = -72 - y. Solve -3*w - 10 = -j*x, 3*w = 2*w - 4*x - 9 for w.
-5
Suppose 3*j + 0*j - 6 = 0. Let h(p) = -p**2 + 16*p - 59. Let u be h(7). Let n(o) = -2*o + 13. Let q be n(-7). Solve 3*t - u*r - q = -r, -13 = -j*t + r for t.
4
Let h(f) = -f + 12. Let w be h(-9). Suppose 23*p - w*p = 10. Suppose -4 = -4*v, -2*a + p*v = v. Solve -s + a*o = -2*o + 17, -25 = -5*o for s.
3
Suppose 7*m - 157 = 1152. Let r = m + -184. Solve r*y + 5*c = 8*y, 8 = 4*y - 2*c for y.
4
Suppose -2*l - 387*v = -386*v - 53, 15 = 3*v. Solve 0 = -3*q + 5*o + 8, 22*o - 24 = 4*q + l*o for q.
-4
Suppose 60 + 276 = 28*b. Suppose 74 - b = 31*x. Solve k - 2*k = 4*y - 10, 0 = -x*y + 2*k + 10 for y.
3
Let y be -1 + (0 - -4) - 1. Let t be (14/49)/((-3)/42). Let j be ((-16)/14)/t + 36/21. Solve -5 = -5*a + 3*x + 2*x, -j*a - y = -3*x for a.
5
Suppose 0 = 145*q + 5 - 343 - 97. Solve 0 = q*x - y - 12, -2*y - 2 = 4*x - 8 for x.
3
Let j be 3 + -2 + 41 + -40. Solve -3*z = -39*i + 42*i - 3, -z + 13 = -j*i for i.
-4
Let p(n) = n**3 + 12*n**2 - 12*n + 14. Let l(d) = 15*d + 47. Let t be l(-4). Let u be p(t). Solve 0*g + 5*m = g - 20, -u = -2*g - 3*m for g.
5
Suppose -26*g + 181 = 30*g - 1723. Solve 5*u + 3*o - 20 = 3*u, -3*o = 4*u - g for u.
7
Suppose -3*i + 2*p = -15, 3*i - p - 142 + 127 = 0. Solve i*z = 0, -f + 0*f + z + 2 = 0 for f.
2
Suppose 694 = 310*u - 1184 - 912. Solve u*t = 4*t + 5*h, 0 = 5*t + h - 30 for t.
5
Suppose 280 = u + 3*u. Let n be (-5 - -9)/((12/93)/(-2)). Let t = n + u. Solve -15 = -v - 4*a, t = -2*v + 3*a - 6 for v.
-1
Suppose 950*w + 125 = 975*w. Solve -q - w = n, -5*n + 10*q - 6*q = -20 for n.
0
Suppose -5*x + 5 = 5*y - 0*y, -3*y + x = -15. Suppose -20*m = -24*m + 8. Suppose -3*p + 19 + 3 = o, o + m*p = 22. Solve 4*s - s = 9, y*s = 2*c + o for c.
-5
Let j(v) = 17*v**2 + 2*v - 1. Let a be j(1). Suppose -19*c = -a*c. Let b = 725 + -722. Solve -u - 14 = -s - b*s, -2*u + s = c for u.
2
Let c(b) = -b + 7. Let k be c(6). Let p be (k - 4)*(34 + -35). Solve 0 = 4*a + 8, h + p*a = 3*h for h.
-3
Let h(i) = -1684 + 1609 + 9*i + 0*i. Let x be h(9). Solve z - 2*g + 17 = -x*g, -3*z = g - 4 for z.
3
Suppose 50 = 2*n + 50. Suppose -5*j = 3*t - 17 - 10, 2*j - 6 = n. Let h = 16 - 2. Solve i = 4*f + 6*i - h, 5*f = t*i - 3 for f.
1
Let w(k) = 214*k**3 + 2*k**2 - k - 1. Let c be w(1). Suppose 0 = o + 210 - c. Solve -3*f - o*g - 5 = 0, g = -2*f + 2*g + 4 for f.
1
Suppose 0 = -2*c + 5*c, s + 71 = -2*c. Let v = s - -70. Let g be (5 + v)*60/80. Solve 4*m + 1 = 5*r, 3 = g*r + 3*m - 3 for r.
1
Let i(m) = m**2 - 5*m - 19. Let n be i(-3). Suppose 0 = 127*h - 129*h + 4. Solve -2*g = n*t - 2 + 13, h*g + 6 = 0 for t.
-1
Suppose 3*q - 6 = 0, 3*f - 5*q - 79 = 55. Suppose 49*z + 2 = f*z - 2*p, 0 = -5*p - 15. Let g = 7 - 5. Solve -12 = -z*v + g*m, 0*m = 5*v - m - 9 for v.
1
Let o(k) = -k**2 - 15*k - 19. Suppose 2*m + 3*m = -45. Let g be o(m). Let b be (-26)/(-8) - 5/20. Solve g = b*w - 6*v + v, 2*w - 2*v = 18 for w.
5
Suppose -20*v + 14*v = 34*v - 120. Solve 7*i - v*i - 4 = -3*r, 5*r = -5*i + 10 for i.
-2
Let v = -618 + 413. Let w = v - -210. Let o be -2 - 1/((-2)/84). Solve 10*p - w*p - o = -3*a, 0 = 4*p - 4*a for p.
5
Let k = -871 - -875. Suppose 4*c = 3*h, -2*h | {
"pile_set_name": "DM Mathematics"
} |
rm of 50, -8, -106, -244?
-20*p**2 + 2*p + 68
What is the g'th term of 108, 217, 324, 429, 532?
-g**2 + 112*g - 3
What is the l'th term of -233, -466, -699, -932, -1165, -1398?
-233*l
What is the l'th term of 48, 189, 424, 753?
47*l**2 + 1
What is the w'th term of -82, -170, -260, -352, -446?
-w**2 - 85*w + 4
What is the j'th term of 293, 285, 283, 293, 321?
j**3 - 3*j**2 - 6*j + 301
What is the l'th term of 15, 40, 81, 138, 211, 300?
8*l**2 + l + 6
What is the o'th term of -74, -131, -184, -233?
2*o**2 - 63*o - 13
What is the w'th term of 1674, 1678, 1692, 1722, 1774?
w**3 - w**2 + 1674
What is the o'th term of -292, -624, -958, -1294, -1632, -1972?
-o**2 - 329*o + 38
What is the z'th term of 8, 23, 48, 83?
5*z**2 + 3
What is the n'th term of -1477, -1456, -1419, -1360, -1273, -1152, -991, -784?
n**3 + 2*n**2 + 8*n - 1488
What is the l'th term of 53, 190, 411, 716, 1105, 1578?
42*l**2 + 11*l
What is the v'th term of 229, 225, 217, 205, 189?
-2*v**2 + 2*v + 229
What is the j'th term of -8, 2, 14, 28, 44?
j**2 + 7*j - 16
What is the m'th term of -11, -6, 11, 46, 105, 194, 319?
m**3 - 2*m - 10
What is the n'th term of 22, 33, 52, 79?
4*n**2 - n + 19
What is the c'th term of 64, 60, 56, 52, 48?
-4*c + 68
What is the y'th term of -464, -473, -494, -533, -596, -689?
-y**3 - 2*y - 461
What is the c'th term of -984, -3935, -8854, -15741, -24596, -35419?
-984*c**2 + c - 1
What is the w'th term of 11, 28, 45, 62?
17*w - 6
What is the x'th term of 17, 28, 37, 44?
-x**2 + 14*x + 4
What is the j'th term of -313, -305, -283, -241, -173?
j**3 + j**2 - 2*j - 313
What is the b'th term of -32, -121, -270, -479?
-30*b**2 + b - 3
What is the g'th term of 9, 162, 593, 1440, 2841?
23*g**3 + g**2 - 11*g - 4
What is the s'th term of -16, -26, -42, -64, -92, -126?
-3*s**2 - s - 12
What is the z'th term of 18, 33, 36, 21, -18, -87, -192?
-z**3 + 22*z - 3
What is the y'th term of 416, 833, 1250?
417*y - 1
What is the g'th term of 2698, 2701, 2696, 2677, 2638, 2573?
-g**3 + 2*g**2 + 4*g + 2693
What is the l'th term of -145, -89, 63, 359, 847?
8*l**3 - 153
What is the p'th term of 13, 23, 33?
10*p + 3
What is the q'th term of -273, -274, -275?
-q - 272
What is the j'th term of 15, 29, 45, 63, 83?
j**2 + 11*j + 3
What is the w'th term of -85, -73, -59, -43, -25, -5, 17?
w**2 + 9*w - 95
What is the w'th term of -36, -41, -46, -51?
-5*w - 31
What is the f'th term of 458, 457, 456, 455?
-f + 459
What is the r'th term of 7092, 14184, 21276, 28368, 35460?
7092*r
What is the c'th term of -27, -43, -47, -33, 5, 73, 177?
c**3 - 23*c - 5
What is the a'th term of -503, -509, -527, -563, -623, -713?
-a**3 + a - 503
What is the v'th term of -582, -1164, -1746, -2328, -2910?
-582*v
What is the o'th term of -1, -6, -17, -34?
-3*o**2 + 4*o - 2
What is the c'th term of 142, 589, 1334, 2377, 3718?
149*c**2 - 7
What is the p'th term of -1828, -1831, -1836, -1843, -1852, -1863, -1876?
-p**2 - 1827
What is the b'th term of 248, 250, 252?
2*b + 246
What is the b'th term of -37, -24, -11?
13*b - 50
What is the d'th term of -399, -409, -419, -429, -439?
-10*d - 389
What is the g'th term of -99631, -99630, -99629, -99628, -99627, -99626?
g - 99632
What is the b'th term of 196, 393, 590, 787, 984?
197*b - 1
What is the l'th term of 11, 43, 125, 281, 535?
4*l**3 + l**2 + l + 5
What is the h'th term of 77, 94, 127, 182, 265, 382, 539?
h**3 + 2*h**2 + 4*h + 70
What is the i'th term of 188, 200, 228, 278, 356, 468?
i**3 + 2*i**2 - i + 186
What is the f'th term of 37, 65, 93, 121, 149?
28*f + 9
What is the f'th term of -336, -665, -982, -1281, -1556, -1801, -2010?
f**3 - 336*f - 1
What is the b'th term of 50, 122, 222, 344, 482, 630?
-b**3 + 20*b**2 + 19*b + 12
What is the t'th term of 250, 491, 732?
241*t + 9
What is the i'th term of 52, 54, 56?
2*i + 50
What is the r'th term of -20, -25, -14, 19, 80, 175, 310?
r**3 + 2*r**2 - 18*r - 5
What is the y'th term of 79, 93, 107, 121?
14*y + 65
What is the t'th term of 80, 307, 686, 1217, 1900, 2735?
76*t**2 - t + 5
What is the i'th term of -57, -113, -169, -225, -281, -337?
-56*i - 1
What is the l'th term of -7, -45, -97, -169, -267, -397?
-l**3 - l**2 - 28*l + 23
What is the f'th term of -533, -532, -531, -530, -529?
f - 534
What is the c'th term of -105, -203, -299, -393, -485, -575, -663?
c**2 - 101*c - 5
What is the p'th term of -27, -71, -143, -243, -371, -527?
-14*p**2 - 2*p - 11
What is the g'th term of 56, 147, 238, 329, 420?
91*g - 35
What is the q'th term of -28, -131, -316, -595, -980, -1483, -2116, -2891?
-2*q**3 - 29*q**2 - 2*q + 5
What is the v'th term of -7, -56, -173, -394, -755, -1292?
-6*v**3 + 2*v**2 - 13*v + 10
What is the r'th term of 269, 542, 815, 1088, 1361?
273*r - 4
What is the p'th term of -750, -1514, -2292, -3090, -3914, -4770?
-p**3 - p**2 - 754*p + 6
What is the t'th term of 22, 54, 136, 292, 546, 922, 1444?
4*t**3 + t**2 + t + 16
What is the d'th term of -9952, -9951, -9952, -9955, -9960?
-d**2 + 4*d - 9955
What is the v'th term of 230, 232, 236, 242, 250?
v**2 - v + 230
What is the l'th term of 889, 895, 903, 913?
l**2 + 3*l + 885
What is the x'th term of 38808, 38809, 38810, 38811, 38812, 38813?
x + 38807
What is the p'th term of -237, -472, -709, -948, -1189?
-p**2 - 232*p - 4
What is the x'th term of -492, -984, -1476, -1968?
-492*x
What is the x'th term of 666, 1339, 2016, 2697, 3382?
2*x**2 + 667*x - 3
What is the a'th term of -38, -37, -36?
a - 39
What is the i'th term of -512, -1021, -1530, -2039, -2548?
-509*i - 3
What is the k'th term of 33, 58, 119, 234, 421, 698, 1083?
3*k**3 + 4*k + 26
What is the l'th term of -153, -602, -1343, -2370, -3677, -5258, -7107?
l**3 - 152*l**2 - 2
What is the j'th term of -554, -577, -612, -665, -742, -849, -992, -1177?
-j**3 - 16*j - 537
What is the l'th term of 105, 205, 305, 405, 505?
100*l + 5
What is the c'th term of 14, 27, 54, 101, 174, 279?
c**3 + c**2 + 3*c + 9
What is the n'th term of -48, -89, -126, -159, -188, -213, -234?
2*n**2 - 47*n - 3
What is the c'th term of 31, 42, 49, 52, 51, 46?
-2*c**2 + 17*c + 16
What is the u'th term of -15, -34, -65, -108, -163?
-6*u**2 - u - 8
What is the p'th term of 21, 33, 55, 87, 129, 181, 243?
5*p**2 - 3*p + 19
What is the s'th term of -37, -55, -95, -169, -289, -467, -715?
-2*s**3 + s**2 - 7*s - 29
What is the n'th term of 5, 9, 37, 101, 213?
2*n**3 - 10*n + 13
What is the v'th term of -4, 28, 92, 200, 364, 596?
2*v**3 + 4*v**2 + 6*v - 16
What is the a'th term of -45, -101, -135, -135, -89, 15?
2*a**3 - a**2 - 67*a + 21
What is the y'th term of 270, 261, 246, 225, 198?
-3*y**2 + 273
What is the m'th term of 212, 222, 236, 254?
2*m**2 + 4*m + 206
What is the q'th term of 1741, 1740, 1737, 1732?
-q**2 + 2*q + 1740
What is the y'th term of 133, 100, 25, -110, -323?
-3*y**3 - 3*y**2 - 3*y + 142
What is the m'th term of 194, 413, 630, 845, 1058, 1269?
-m**2 + 222*m - 27
What is the u'th term of 967, 1936, 2903, 3868, 4831, 5792, 6751?
-u**2 + 972*u - 4
What is the l'th term of 22, -16, -70, -134, -202, -268?
l**3 - 14*l**2 - 3*l + 38
What is the t'th term of -7581, -7576, -7559, -7524, -7465, -7376?
t**3 - 2*t - 7580
What is the n'th term of 383, 379, 373, 365, 355, 343, 329?
-n**2 - n + 385
What is the d'th term of -59, -60, -61, -62, -63?
-d - 58
What is the a'th term of -53, -84, -131, -188, -249, -308?
a**3 - 14*a**2 + 4*a - 44
What is the f'th term of -9, -44, -103, -186, -293, -424, -579?
-12*f**2 + f + 2
What is the q'th term of -18, 30, 154, 390, 774, 1342, 2130, 3174?
6*q**3 + 2*q**2 - 26
What is the h'th term of 625, 648, 671?
23*h + 602
What is the u'th term of -98, -178, -260, -344, -430, -518, -608?
-u**2 - 77*u - 20
What is the u'th term of -8, -14, -24, -38, -56, -78, -104?
-2*u**2 - 6
What is the w'th term of -17, -83, -193, -347?
-22*w**2 + 5
What is the n'th term of 18, 41, 70, 105, 146, 193, 246?
3*n**2 + 14*n + 1
What is the i'th term of -304, -304, -312, -334, -376, -444, -544, -682?
-i**3 + 2*i**2 + i - 306
What is the i'th term of 12, 32, 80, 168, 308?
2*i**3 + 2*i**2 + 8
What is the p'th term of 6, 13, 24, 39, 58, 81?
2*p**2 + p + 3
What is the f'th term of 124, 236, 348?
112*f + 12
What is the x'th term of -67, -160, -253, -346?
-93*x + 26
What is the l'th term of 25, 76, 155, 262, 397, 560?
14*l**2 + 9*l + 2
W | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 556 a factor of 217952?
True
Is 419342 a multiple of 241?
False
Is 18 a factor of 942181?
False
Is 120175 a multiple of 3?
False
Is 25 a factor of 943099?
False
Is 73222 a multiple of 31?
True
Does 22 divide 281388?
False
Does 13 divide 4249856?
True
Does 152 divide 281224?
False
Is 239439 a multiple of 13?
False
Is 99 a factor of 228591?
True
Does 130 divide 584789?
False
Is 29268 a multiple of 27?
True
Is 16319476 a multiple of 604?
True
Does 107 divide 6435771?
False
Does 62 divide 1674?
True
Is 1513818 a multiple of 333?
True
Does 63 divide 850374?
True
Is 1802 a factor of 12286036?
True
Is 124 a factor of 724160?
True
Is 2239692 a multiple of 1092?
True
Does 30 divide 60?
True
Is 691 a factor of 4843910?
True
Does 116 divide 3803408?
True
Is 22512 a multiple of 8?
True
Is 35 a factor of 177695?
True
Is 4141599 a multiple of 17?
False
Is 19 a factor of 1064703?
True
Is 8420608 a multiple of 592?
True
Is 705610 a multiple of 11?
False
Is 4330260 a multiple of 198?
True
Is 4869718 a multiple of 17?
True
Is 3290771 a multiple of 23?
True
Is 4600 a multiple of 5?
True
Is 64 a factor of 4189716?
False
Is 2 a factor of 28952?
True
Is 84185 a multiple of 8?
False
Is 523572 a multiple of 966?
True
Is 2923834 a multiple of 38?
True
Is 30 a factor of 17572971?
False
Does 400 divide 5501446?
False
Does 15 divide 2820?
True
Does 9 divide 1332?
True
Is 174192 a multiple of 19?
True
Is 15 a factor of 1358370?
True
Does 184 divide 559756?
False
Does 180 divide 1755?
False
Does 84 divide 565236?
True
Is 16454118 a multiple of 31?
True
Is 10851918 a multiple of 83?
True
Is 170516 a multiple of 4?
True
Does 21 divide 529641?
True
Does 141 divide 6967515?
True
Does 33 divide 829519?
False
Is 258 a factor of 205151?
False
Does 3 divide 2077?
False
Is 62 a factor of 514380?
False
Is 8 a factor of 182422?
False
Does 24 divide 681648?
True
Does 37 divide 341103?
True
Does 120 divide 3308640?
True
Is 16 a factor of 168028?
False
Is 571 a factor of 559113?
False
Does 9 divide 4780683?
True
Is 968 a factor of 11235867?
False
Is 8 a factor of 64046?
False
Is 6161649 a multiple of 372?
False
Is 126090 a multiple of 18?
True
Is 669370 a multiple of 95?
True
Does 25 divide 220750?
True
Is 45584 a multiple of 296?
True
Is 109 a factor of 445701?
True
Is 67114 a multiple of 4?
False
Is 21 a factor of 287679?
True
Does 54 divide 170532?
True
Does 8 divide 49747?
False
Is 2578721 a multiple of 26?
False
Does 882 divide 2057541?
False
Is 16 a factor of 182096?
True
Is 14 a factor of 55594?
True
Is 2618196 even?
True
Is 362211 a multiple of 82?
False
Is 2494008 a multiple of 8?
True
Does 32 divide 96512?
True
Is 97 a factor of 77988?
True
Does 18 divide 4829958?
True
Is 5527 a multiple of 23?
False
Is 5357184 a multiple of 158?
False
Is 1202 a factor of 6939878?
False
Is 113025 a multiple of 25?
True
Is 250 a factor of 173513?
False
Does 12 divide 522801?
False
Is 2187350 a multiple of 410?
True
Is 358440 a multiple of 174?
True
Is 168998 a multiple of 2?
True
Does 14 divide 378071?
False
Does 71 divide 267482?
False
Is 16 a factor of 2506478?
False
Is 13 a factor of 2212336?
False
Does 135 divide 1610713?
False
Is 1020992 a multiple of 56?
True
Is 787790 a multiple of 29?
False
Is 69760 a multiple of 13?
False
Is 646531 a multiple of 30?
False
Is 6 a factor of 47367?
False
Is 11784119 a multiple of 28?
False
Is 34 a factor of 199988?
True
Is 723 a factor of 3617892?
True
Is 4583169 a multiple of 729?
False
Does 44 divide 937992?
True
Is 20 a factor of 1834520?
True
Is 32977 a multiple of 78?
False
Is 770072 a multiple of 12?
False
Does 132 divide 1935452?
False
Does 20 divide 3522948?
False
Is 280014 a multiple of 354?
True
Is 24 a factor of 800712?
True
Is 75 a factor of 249600?
True
Does 83 divide 93882?
False
Is 916 a factor of 3766020?
False
Is 54137 a multiple of 115?
False
Is 18424 a multiple of 8?
True
Does 549 divide 20324785?
False
Is 206 a factor of 1781076?
True
Is 11772762 a multiple of 6?
True
Does 10 divide 1536930?
True
Does 145 divide 740660?
True
Is 184 a factor of 6716631?
False
Is 4 a factor of 147874?
False
Does 223 divide 1194291?
False
Does 181 divide 331525?
False
Does 7 divide 415338?
True
Is 91993 a multiple of 11?
True
Is 3 a factor of 380070?
True
Is 10 a factor of 26702?
False
Is 377 a factor of 303119?
False
Is 1812186 a multiple of 9?
True
Is 103 a factor of 201885?
False
Is 271281 a multiple of 21?
False
Is 1495851 a multiple of 437?
True
Does 11 divide 507245?
False
Is 5113242 a multiple of 342?
True
Is 76304 a multiple of 1004?
True
Is 59 a factor of 95226?
True
Does 25 divide 55374?
False
Is 764059 a multiple of 119?
False
Is 1023243 a multiple of 17?
False
Is 98 a factor of 192962?
True
Is 14 a factor of 26778?
False
Does 15 divide 323821?
False
Is 7398010 a multiple of 882?
False
Does 27 divide 356346?
True
Is 52393 a multiple of 4?
False
Is 51231 even?
False
Does 46 divide 490452?
True
Is 348450 a multiple of 30?
True
Is 269588 a multiple of 8?
False
Does 11 divide 267058?
True
Is 5 a factor of 138560?
True
Does 6 divide 110844?
True
Is 94 a factor of 129243?
False
Does 15 divide 298125?
True
Is 2824908 a multiple of 8?
False
Does 4 divide 15185?
False
Is 243325 a multiple of 31?
False
Is 216 a factor of 580646?
False
Does 95 divide 811165?
False
Is 42 a factor of 449568?
True
Is 13 a factor of 20865?
True
Is 11359561 a multiple of 12?
False
Is 284544 a multiple of 192?
True
Does 7 divide 11966619?
True
Does 73 divide 13439397?
False
Is 4 a factor of 195252?
True
Is 97 a factor of 68466?
False
Does 338 divide 7163910?
True
Is 17 a factor of 410592?
False
Does 99 divide 386793?
True
Does 282 divide 593328?
True
Does 37 divide 473355?
False
Is 3 a factor of 5729439?
True
Is 1723898 a multiple of 11?
True
Does 73 divide 118917?
True
Is 4896 a multiple of 90?
False
Does 8 divide 130755?
False
Is 1465422 a multiple of 246?
True
Does 238 divide 4885902?
True
Is 39 a factor of 335400?
True
Is 1934633 a multiple of 20?
False
Is 6651630 a multiple of 30?
True
Is 37 a factor of 405594?
True
Is 27 a factor of 257600?
False
Is 27983 a multiple of 2?
False
Is 102 a factor of 84205?
False
Is 25 a factor of 102761?
False
Does 11 divide 111474?
True
Is 4553173 a multiple of 1292?
False
Is 48 a factor of 12120321?
False
Is 5667018 a multiple of 123?
False
Does 228 divide 31692?
True
Does 485 divide 1891635?
False
Is 636 a factor of 2244609?
False
Does 23 divide 1642269?
True
Is 91 a factor of 37674?
True
Is 69 a factor of 6900?
True
Does 142 divide 487486?
True
Is 289397 a multiple of 134?
False
Is 201 a factor of 1037761?
False
Is 68 a factor of 11072576?
True
Is 364 a factor of 8255156?
True
Is 21 a factor of 46011?
True
Is 5270895 a multiple of 2?
False
Is 1139673 a multiple of 69?
True
Does 51 divide 2127111?
False
Is 310 a factor of 180730?
True
Is 62424 a multiple of 102?
True
Is 239 a factor of 250950?
True
Does 3 divide 8856?
True
Is 1416 a multiple of 561?
False
Does 148 divide 77292?
False
Is 218277 a multiple of 5?
False
Is 918 a factor of 1282446?
True
Does 4 divide 4138084?
True
Is 4762295 a multiple of 5?
True
Does 42 divide 83579?
False
Is 325273 a multiple of 17?
False
Is 70 a factor of 8187530?
False
Is 900433 a multiple of 96?
False
Does 89 divide 3424720?
True
Is 1137 a factor of 2307818?
False
Is 15 a factor of 83492?
False
Does 30 divide 5400796?
False
Is 5460 a multiple of 6?
True
Does 7 divide 3088618?
False
Is 5526038 a multiple of 747?
False
Is 28 a factor of 720689?
False
Does 47 divide 582902?
False
Is 26 a factor of 1150822?
False
Is 6157722 a multiple of 18?
False
Is 1339774 a multiple of 69?
False
Is 22840 a multiple of 5?
True
Is 35 a factor of 82240?
False
Does 49 divide 14602?
True
Is 6480488 a multiple of 27?
False
Does 10 divide 253766?
False
Is 307572 a multiple of 228?
True
Does 16 divide 185984?
True
Does 202 divide 84436?
True
Does 24 divide 21610?
False
Is 10787392 a multiple of 616?
True
Does 19 divide 921386?
True
Is 26 a factor of 5851?
False
Is 296 a factor of 1024873?
False
Does 14 divide 546000?
True
Is 45 a factor of 68895?
True
Is 258438 a multiple of 127?
False
Is 691685 a multiple of 16?
False
Does 15 divide 1029900?
True
Is 130560 a multiple of 20?
True
Is 370696 a multiple of 183?
False
Is 5 | {
"pile_set_name": "DM Mathematics"
} |
et j be (-144)/(-70) + 1 + -3. Does j = p?
False
Let o(g) = -2*g - 22. Let a be o(-11). Which is greater: a or 8/9?
8/9
Let s be 0 - -4*4/(-24). Which is bigger: 1/24 or s?
1/24
Suppose -9*s = -s. Suppose 0 = -n - n + 20. Suppose -2*b - 3*b - n = s. Which is greater: -1 or b?
-1
Let t be 42/(6/3) - 2. Let w be -2 - (-4*t)/2. Let l be w/10 - (-4)/10. Are 4 and l equal?
True
Let i be ((-8)/6)/((-1)/3). Let f = -93 - -99. Which is greater: i or f?
f
Let p = -13 - -15. Is 0.05 at most as big as p?
True
Let i(n) = -2*n + 12. Let r be i(5). Which is smaller: r or 5/4?
5/4
Let c(x) = 17 - 11*x**2 - 15 - x**3 + 4*x**2. Let j be c(-7). Are j and 5/4 non-equal?
True
Suppose 10 = -5*f, 9 - 29 = t + 5*f. Let y = 9 + t. Let l be (-3 - (2 - 2))/1. Which is smaller: l or y?
l
Let k = -9597/19 + 505. Let h be (-1)/((-1)/(-2)) - -1. Is k less than h?
False
Let h = -3100/10639 + -22927579/11170950. Let o = h - -33/14. Let u = o - -44/75. Which is smaller: 1 or u?
u
Suppose -4*v + 5*z + 9 - 2 = 0, v - 4*z = -1. Let l = 2 - 6. Let f = v + l. Which is smaller: 1/9 or f?
f
Let b = 1/14 + 19/28. Let w = 1 + -1. Which is greater: b or w?
b
Suppose 7*v = 5*v. Is -2/9 < v?
True
Let h(c) = 2*c + 6. Let v be h(-4). Let t = -1 - v. Suppose -a - 2 = w - 4, -4*a = -5*w + 1. Is w bigger than t?
False
Suppose 0 = 3*p - 42 + 3. Let y(v) = -v**2 + 14*v - 10. Let a be y(p). Which is bigger: 0 or a?
a
Suppose -3*s - 2*s - 130 = 0. Let m = 27 + s. Is -0.3 <= m?
True
Let l = 1/15 + -17/30. Let c = 2.9 + -3. Let z = c - -0.1. Which is greater: l or z?
z
Let v = 11/39 - -1/39. Is -1 at least as big as v?
False
Let t be (263/2)/(0 - -15). Let l = t + -49/6. Suppose 10*g = 14*g. Which is bigger: g or l?
l
Let y = 1 - -1. Suppose -4*h + 28 = -3*k, -k = -2 + 6. Suppose -y*v - 2*v = h. Are 0 and v unequal?
True
Let a be (-2)/(-6) - (-5)/3. Let x = a + 1. Suppose -2*b + 4 = j - 0*b, 5*j - 4*b - 20 = 0. Which is smaller: x or j?
x
Let n = 25/6 + -127/30. Is -1 < n?
True
Let k be ((-1)/(-3))/(1/(-3)). Let w be (1 + k)/(2 - 0). Which is bigger: 1 or w?
1
Let o(b) = -4*b**2 - 2*b - 1. Let i be o(-1). Let m(n) = n**3 - n**2 - 8. Let r be m(0). Let w(u) = u**2 + 9*u + 4. Let g be w(r). Which is smaller: i or g?
g
Suppose -20 = w - 3*w. Let p be w/(-2) + 2 - -3. Let c be (-5)/(-15) - p/1. Which is smaller: 2 or c?
c
Let x = 2 + 2. Suppose y + x*y = -25. Are -1 and y unequal?
True
Let h be ((-42)/7)/((-6)/(-4)). Which is greater: h or -1?
-1
Let z(f) = -9*f - 18. Let v be z(-4). Do 18 and v have different values?
False
Let z be 785/(-354) - (-3 + 1). Let g = 3/59 + z. Suppose 6*b - 5*b = 1. Which is smaller: g or b?
g
Let u be (3/10)/((-24)/10). Let l be (-3)/(-2)*4/(-6). Is u equal to l?
False
Let j be (3/1)/(-24)*-4. Which is smaller: j or 47?
j
Suppose 8 = 4*c + 20. Let k = -3 + -1. Which is smaller: k or c?
k
Let u be 77 - ((-20)/(-5) + -5). Is 77 at most as big as u?
True
Suppose -2*j - 8 = -a, 4*j + 8 = -0*j - 2*a. Suppose 6*i = -3*i - 63. Which is smaller: i or j?
i
Let d be 1/(3 + 2 + -4). Let y(k) = -k**2 - 2*k + 1. Let g be y(d). Suppose -2*q - 2*q = 3*l + 21, -2*l + 2*q = 0. Which is smaller: g or l?
l
Let u = -7 - -6.9. Do -2 and u have the same value?
False
Let w = -221/14 + 31/2. Which is smaller: 0 or w?
w
Let v = 4 - 3. Let m = -1 - v. Let q be (-70)/(-15) - m/(-3). Which is smaller: q or 3?
3
Suppose -q - 3 = -2. Let r(j) = -j - 3 - 2*j + 1 + j**2. Let b be r(3). Is b >= q?
False
Let p = 2 + 1. Suppose -2*a - 16 = -c, -75 = -5*c + 5*a - 0*a. Suppose 5 = -p*h + c. Is 2 at most as big as h?
True
Suppose p - 16 = -14. Let r be (p/5)/((-1)/10). Which is bigger: r or -6?
r
Suppose -2*l - 12 = 2*l. Let c(x) = -x**2 - 11*x + 2. Let p be c(-11). Let k be -3 + p - 4/l. Which is smaller: 1 or k?
k
Let l = -1.5 - 13.5. Let f = 15.3 + l. Is 2 at least f?
True
Let o(a) = 2*a + 17. Let n be o(-7). Let p = -4 + n. Which is greater: p or 0?
0
Let x = -0.16 - 0.04. Which is greater: 1 or x?
1
Let w(k) = k - 3. Let z be w(7). Let s = -8 - -8. Suppose z*m - 5*m = s. Which is smaller: m or -2/7?
-2/7
Let o be (-3)/10 - 28/(-70). Which is bigger: 1 or o?
1
Let p = -31 - -15. Which is greater: p or -15?
-15
Let f be 4/3 - (-100)/(-12). Let h = f - -20. Is 14 greater than h?
True
Suppose s - 4 - 2 = j, -2*s - 12 = 4*j. Let i be (-1)/1*(s + -3). Do 2 and i have different values?
True
Let z = 0 - 1/4. Suppose 4*o - 11 = -59. Let v be 1/4 + 3/o. Is v bigger than z?
True
Let f be (-3)/7*28/42. Is f > -3/7?
True
Suppose 0 = -5*y - w + 27, 2*y = -w + 10 + 2. Let t be (3 - 4) + y/4. Is -2 at least t?
False
Let j be 44/24 - (-2)/12. Let k be (j/3)/(2/3). Is k greater than or equal to -1?
True
Let f(i) = -5*i - 2. Let y(m) = 4*m + 1. Let x(u) = -5*f(u) - 6*y(u). Let z be x(-6). Which is smaller: z or -0.2?
z
Let b be (-2)/10 + (-14)/30. Suppose 8*m - 3*m = 0. Which is smaller: b or m?
b
Let r = -8 + 4. Let w = -2 - r. Let c = -1.5 - -1.4. Are w and c unequal?
True
Suppose 5*t - 64 = 9*t. Are -15 and t nonequal?
True
Let a be 1/(-12) - 10/(-40). Is 0 < a?
True
Let x = -77/10 - -17/2. Let a(f) = -f - 5. Let s be a(-7). Are s and x nonequal?
True
Suppose d + d = -2. Do -2 and d have the same value?
False
Let y = -1302863/70 - -18612. Let r = 1/14 - y. Suppose 10 = -2*s, 2*s + 18 = 5*c + 3. Which is greater: c or r?
c
Suppose o + 0*o = -2. Which is smaller: -4 or o?
-4
Let j = -76 + -39. Let n = 3807 + -18458/5. Let t = j + n. Which is smaller: -5 or t?
-5
Suppose 4*c - 5*d = -2, d - 1 - 3 = 2*c. Let h = 4 + c. Let t be ((-17)/(-34))/((-5)/(-4)). Which is bigger: t or h?
h
Suppose -23 + 8 = -3*t. Is 5 greater than t?
False
Let j(i) = i**3 + 9*i**2 + 7*i - 8. Let f be j(-8). Let x be 0*(f - (-2 + 1)). Which is bigger: x or 1?
1
Suppose 2*m = 27 - 13. Which is smaller: 0 or m?
0
Let j be 11/4 + -1 + -1. Let b(f) = f - 3. Let n be b(4). Which is greater: n or j?
n
Let g be 286/(-33)*(-3 + 0). Which is smaller: 27 or g?
g
Let h be (2 - 2)*(-1 - 0). Is 1 equal to h?
False
Suppose 3*c + 3*i = 12, -2*i + 8 = -5*c + c. Is 0 smaller than c?
False
Let p = -52.1 - -56. Let f = -4 + p. Is -0.1 less than or equal to f?
True
Let a = 19 + -15. Suppose 5 = 4*s - 11. Suppose -4*j - 3 = 3*p, s*p = -a*j + 1 - 5. Is j at least 0?
True
Let t(l) = 14*l - 85. Let z be t(6). Let o = 7/13 - 15/52. Is o less than or equal to z?
False
Let h = 13 + -12.9. Suppose -4*y = 5*v - 173, -y + 2*v + 19 = -8. Let x = 184/5 - y. Which is smaller: h or x?
x
Let u(x) = x**3 - 8*x**2 - 1. Let t be u(8). Suppose 0 = -5*d - 25, 2*j + 5*d = 3*d - 44. Let c be (-1)/4 - j/36. Which is smaller: t or c?
t
Let q be 6/33 + 19505/13420. Let g = q + 7/61. Which is smaller: 3 or g?
g
Let q = 4/3 - 11/6. Let w(j) = j**3 - 5*j**2 - 5*j - 5. Let c = -4 - -10. Let o be w(c). Which is smaller: o or q?
q
Let x(f) = f**2 + 4*f + 5. Let c be x(-4). Suppose c*d - m = 25, m + 3*m + 28 = 2*d. Suppose g - 4*l = d, -2 + 4 = 5*g - 2*l. Which is greater: -2 or g?
g
Let n be -1 + (-39)/(-5) + 12/(-15). Suppose -4*o - c = 21, -c - 1 = -0. Let f = n + o. Is 2/5 > f?
False
Let l(y) be the third derivative of -y**6/120 - y**5/20 + y**3/6 - 2*y**2. Let i be l(-3). Which is bigger: -3/13 or i?
i
Let y(w) = -w**2 - 11*w - 6. Suppose 0 = -2*f - 1 + 3. Let n be (-8)/12*(f - -14). Let m be y(n). Is m at least as big as 3?
True
Let q = -25.033 - -0.033. Let t = q + 22. Which is greater: t or 0.2?
0.2
Suppose a + 32 = -3*a. Is a greater than -8?
False
Suppose -d = 4*d - 100. Suppose -4*n + d + 4 = 0. Let s = -5 + n. Is -1 < s?
True
Suppose -17*b = -14*b - 48. Is b not equal to 16?
False
Let x = 0 + 1. Let r be (x + 0)*(-4)/14. Let g = 0.47 - -2.53. Is g less than r?
False
Let c = -51 + 152/3. Is 1.1 bigger than c?
True
Let h be 1/(2 + -3) + -2. Suppose -16 = p + 3*p. Let a = p + 0. Which is bigger: h or a?
h
Suppose -3*b = -3*w, 5*b = -3*w - 0*b. Let v = 5.7 + 9.4. Let h = -15 + v. Are w and h equal?
False
Let s be 9/6*(-24)/(-9). Let p = 8 - s. Is 1 less than p?
True
Suppose -9 = 2*r - 3*s, -3*r - 19 + 4 = -5*s. Suppose 0 = 5*y - 0*l + 4*l + 15, y - l - 6 = 0. Is r equal to y?
False
Let i = 7599/50 - 152. Is 1 at most i?
False
Suppose -3*p + 3*w + 1 + 17 = 0, 4*p + w - 4 = 0. Suppose y = -5*q + 3*q + 1, -5*y = -p*q + 7. Let a be 0/(-2) - (0 - -1). Do a and y have the same value?
True
Let m | {
"pile_set_name": "DM Mathematics"
} |
- 8, -3*j = -12*z + 8*z - 12 for j.
4
Solve s - 24 = -3*i - 13, s = 3*i - 7 for s.
2
Solve -2*j + 0*a = -2*a + 4, 4*a = 8 for j.
0
Solve u + 9 = 3*o - 3*u, 0 = -3*o + u for o.
-1
Solve -5*v - 19 = 4*j + 21, 2*j + 30 = -5*v for v.
-4
Solve -5*p = -3*k - 7*p + 13, -3*k + 5*p = 22 for k.
1
Solve 5*v - 4*v - 4*y = 17, 0 = -4*v - 2*y - 22 for v.
-3
Solve 0 = -o + 4*o - p + 5, 5*p - 13 = 3*o for o.
-1
Solve 3*x = -4*u + 3*u - 8, 2*x - 4*u = 18 for x.
-1
Solve -5*q = -2*z, -5*z + 3*z = -3*z for q.
0
Solve -2*n - 3 = z, 2*n + 3*n + 5*z = -10 for n.
-1
Solve 4*w = -12, w - 242 + 220 = -5*m for m.
5
Solve 4 = -2*o + 3*h, o + 79*h + 7 = 83*h for o.
1
Solve 0 = -5*f - r - 14, -2*f - 4*r + 0*r - 2 = 0 for f.
-3
Solve 1 = -z + 2*v, 4*v = -4*z + 4 + 4 for z.
1
Solve -3 = b, -5*b - 15 = 3*t - 4*b for t.
-4
Solve 0 = -2*m + 284*n - 281*n - 8, -2*m - 3*n = -28 for m.
5
Solve -3*u + 10 = -3*b - 14, 2*u - b = 11 for u.
3
Solve -5*l = -5*y + 20, -l + 3*y + 1 = 3 for l.
-5
Solve -2 = 3*s + 4*l, 4*s - 4*l = -9*l - 3 for s.
-2
Solve 72*x - 70*x - 14 = -4*y, 0 = 4*y + 5*x - 29 for y.
1
Solve -4*f + l + 12 = 34, -3*l - 14 = 4*f for f.
-5
Solve -k - 28 = -4*k - z, 2*k + z = 19 for k.
9
Solve -3*h = -t - 132 + 124, -4*t + 5*h - 25 = 0 for t.
-5
Solve 54*v + r = 49*v + 32, -46 = -5*v - 3*r for v.
5
Solve -q + 4 = -2*h, q - 3*h - 8 = -q for q.
4
Solve c - 3*d - 16 = -3*c, 5*d + 20 = 5*c for c.
4
Solve y - s + 5 = 0, 2*y + 0*s - 4*s + 14 = 0 for y.
-3
Solve -4*o - 12 = -q, 5*o = -0*q + 2*q - 15 for q.
0
Solve 5 = -2*w - n, 8*n + 25 = 2*w + 3*n for w.
0
Solve -25 = -o + 4*f, -2*f - 2*f - 30 = -2*o for o.
5
Solve 10*d - 5*d + 21 = 2*v, -3*v = 5*d + 6 for v.
3
Solve 7*d - 3*g = 3*d + 5, 0 = -d - 3*g - 10 for d.
-1
Solve 2*d + 18 = -2*t + 16, 4*t - 4*d = 28 for t.
3
Solve 90 = -4*i + 5*r + 127, -2*i - r = -1 for i.
3
Solve 5*p - 16 = -3*v, -5*v + v - 12 = 0 for p.
5
Solve -9 = p - 4, -2*h + 2*p + 4 = 0 for h.
-3
Solve 10*w + 4*i = 7*w, -i = 3 for w.
4
Solve 5*h + 5*w - 5 = 0, -3*h - 2*w + 7 = 2*w for h.
-3
Solve -3*k = 12, 4*f + k - 16 = 6*k for f.
-1
Solve 3*x + 10 = -2*m, 2*x + x + 8 = -4*m for x.
-4
Solve 5*m + 3*x + 34 = 0, 0 = 2*m + 13*x - 8*x + 25 for m.
-5
Solve -8*y = 4*f - 5*y - 22, -4*y + 4 = -f for f.
4
Solve -2*y + 3*q - 3 = 0, 3*y + 7 = -7*q + 11*q for y.
-9
Solve 3*h + 3*l - 16 = 11, 4*h - 31 = -3*l for h.
4
Solve -3*m - v + 15 = 0, -3*m - 2*v = -4*m + 5 for m.
5
Solve 4*k + 10 = 2*j, -10 = -2*k + 4*k for j.
-5
Solve -12*n - 2 = -11*n - m, -5*n + 20 = 5*m for n.
1
Solve 9*g - 5*g = -4, 0 = 5*q - 3*g - 23 for q.
4
Solve 2*q + 0*z + 2*z + 2 = 0, -3*z = q + 5 for q.
1
Solve -3*z - 2 = -5*s, 6 - 1 = 5*z for s.
1
Solve 0 = -2*w - 8, -3*n - w + 1 = 11 for n.
-2
Solve 5*i + 181*p - 176*p = 20, 4*i + 2*p = 18 for i.
5
Solve 11 = 5*j + 4*w + 34, 4 = -2*j + w for j.
-3
Solve 4*y + 4*h = 26 - 14, -2*y - 5*h = -3 for y.
4
Solve 5*f + 6*u = 3*u - 20, -5*f - 20 = -u for f.
-4
Solve 2*u = -3*k + 3, -3 = -k - 4*u - 2 for k.
1
Solve -4*n = -4, 6*n - n = 2*a + 3 for a.
1
Solve 4*n + 3*s + 9 = 8*s, -4*n - 5*s + 41 = 0 for n.
4
Solve -2*k = -5*u - 14, -3*k - 4*u = 15 + 10 for k.
-3
Solve 44 - 38 = -3*v, x = -3*v - 10 for x.
-4
Solve 2*z - 2 = -0, 2*f = z + 3 for f.
2
Solve -2*v - 4*m = -7*v + 3, 3*m + 1 = 5*v for v.
-1
Solve f = 3*x - 1, -9 = 5*x - 4 for f.
-4
Solve 0 = c + 5, -7*c + 5*c = -2*g + 14 for g.
2
Solve -3*y = 3*s - 27, 5*y - 3 = 3*s + 2*y for s.
4
Solve 23 = d - 4*q, -1 = -2*d - 4*q - 15 for d.
3
Solve -196*m + 17 = 2*t - 199*m, -2*m + 14 = 5*t for t.
4
Solve -2*o + 18 = -4*w, 5*w - 14 + 42 = -3*o for w.
-5
Solve 6 = 4*v + 2*f - 20, -f = -5 for v.
4
Solve 5 = -2*j + z, -z = 3*j + j + 13 for j.
-3
Solve 6*b + 3*t = 7*b - 3, -4 = 4*t for b.
0
Solve 0 = 2*g - 45*u + 43*u + 20, -4*u = -20 for g.
-5
Solve r - 4*y = 16, -2*y = -5*r + 3*y + 20 for r.
0
Solve -2*p = h + 7, 0*h = -3*p + 2*h - 14 for p.
-4
Solve -6*t = -3*l - 10*t + 12, 0 = -2*l + 3*t + 8 for l.
4
Solve p + 3*p - 4 = 4*m, 5*m = 3*p + 3 for p.
4
Solve -5*h + g = -22 + 5, 0 = -5*h + 2*g + 14 for h.
4
Solve 3*j + 11 = -2*s, -s - s + 4*j + 10 = 0 for s.
-1
Solve -1 - 1 = -2*h - 4*j, -j - 22 = -4*h for h.
5
Solve 0 = 2*x - 3*l + 13, -4*x + 10 = -l + 31 for x.
-5
Solve 0 = x, 4*s + 3*s = 2*s + x - 10 for s.
-2
Solve 0 = 4*z + 2*n - 30, -3*z - 2*n = -5*n for z.
5
Solve 0 = -10*w + 7*w + 4*r + 3, 4*r = -3*w + 3 for w.
1
Solve -8 = -2*s + 4*y, 0 = -3*s + 4*y - 3*y - 3 for s.
-2
Solve -4*l + 3*t + 9 = -l, 5*t + 9 = -l for l.
1
Solve -7 + 2 = -3*n - 5*v, 4*v = n + 4 for n.
0
Solve 5*f - 23 = 20*m - 17*m, -21 = -5*f + m for f.
4
Solve 5*d - 3*k - 5 = 6*d, 4*k + 4 = -2*d for d.
4
Solve -v + 7*t - 21 = 2*t, -3*v + 4*t = 19 for v.
-1
Solve -5*w - 25 = -5*g, 2*w = -6*g + 5*g + 5 for w.
0
Solve 3*u + 14 = 7*u + 3*l, -2*u + 5*l = 6 for u.
2
Solve -2*s = 2*o, 3*s + 31 - 37 = -o for s.
3
Solve -s + u - 1 = 0, -5*s + 3*u - 7*u = -13 for s.
1
Solve 3*l - 1 = -0*l + b, 0 = 5*l + 3*b - 11 for l.
1
Solve 2*t = -4*f - t + 15, -4*t = 5*f - 19 for f.
3
Solve 0 = -2*k + 6*k + 5*l + 30, 3*k + 3*l = -21 for k.
-5
Solve -d - 2*v - 8 = 0, -d - d = -4*v for d.
-4
Solve v - 5*j + 24 = -0*v, 0 = -5*v + 4*j - 15 for v.
1
Solve -4*o + 16 = -r - r, -5*o = 5*r - 5 for o.
3
Solve 3*i + 2*i = 5*z + 10, 2*z = -i - 7 for i.
-1
Solve x + 8 = 3*d - 0, -2*x - 8 = -4*d for d.
4
Solve -15 = -13*s + 16*s, 5*a + 4*s - 5 = 0 for a.
5
Solve z = b - 1, b - 3*z - 1 = 4 for b.
-1
Solve -3*b + 12 = -5*k, 0 = 3*b + 3 - 0 for k.
-3
Solve -2*b = 3*c + 15, -300*c + 296*c = 12 for b.
-3
Solve 5*a + 14 = 4*b, 11 = -3*a + 4*b + 1 for a.
-2
Solve -4*u + 14 = -2*a, 6 = -14*u + 16*u for a.
-1
Solve v - 6 = -2*u, -5*u - 3*v + 25 = 10 for u.
3
Solve 0 = -5*f + f + 5*n - 17, -f - 4*n + 1 = 0 for f.
-3
Solve 3*g = 3*o - 12, 0 = -3*o + 4*g + 10 + 5 for o.
1
Solve -k = 3, k - 2 - 1 = -3*q for q.
2
Solve 2*c - 3*m + 4 = -7*m, 4*c = 2*m + 22 for c.
4
Solve -4*o + 31 = -5*r - 0*o, r - 17 = -5*o for r.
-3
Solve 0 = 3*t + 2*o - 13, 48*t - 4*o + 14 = 50*t for t.
3
Solve 5*h = 5*q - 5, -h + 15 = -5*q - 0 for h.
-5
Solve 0 = -5*t - g + 17, -2*t - 20*g + 23*g + 17 = 0 for t.
4
Solve -2*b + 12 = -2*g, 4*g + 21 - 1 = 0 for b.
1
Solve -k + 4*v - 2 = 0, 3*k + k + 8 = -5*v for k.
-2
Solve -2*s = k + 11 - 9, 5*s + 4*k + 8 = 0 for s.
0
Solve -2*n - t - 9 = -20, 0 = 2*n - t - 1 for n.
3
Solve -3*p - 8 = -4*u, 0*u = -3*u - 3*p + 27 for u.
5
Solve -8*j + 6*j + 5*g + 11 = 0, 0 = -j + 3*g + 7 for j.
-2
Solve 0*d = -3*j + 3*d, 0 = 5*j - d + 4 for j.
-1
Solve -2*m = 4*c, -c + 14 = -0*c + 4*m for c.
-2
Solve 16 = -4*w - 2*c, -8*c = -7*c for w.
-4
Solve -3*u + 4*i + 4 = 0, -5*u + 3*i - 6 = 2 for u.
-4
Solve 86*z = 84*z + 4*d + 6, 5*z = -3*d + 28 for z.
5
Solve -20*l - 3*s - 25 = -18*l, 4*l = 4*s for l.
-5
Solve -3*x - h = 9, 2*x - 5*x = 5*h + 9 for x.
-3
Solve -n = -2*l + 4*l - 14, 5*n + 2*l - 30 = 0 for n.
4
Solve 5*d + 15 = -3*j + 2*d, -4*d - 23 = 5*j for j.
-3
Solve 0 = -3*c + 2*b - 11, 5*c - c + b + 11 = 0 for c.
-3
Solve -8*z + 3*q - 17 = -4*z, 2*z = 3*q - 13 for z.
-2
Solve 15 = 3*o, -3*o + 31 - 10 = 3*f for f.
2
Solve -4*g - 17 = 4*a - 5, -4*a + 20 = -4*g for g.
-4
Solve a + t + 3 = 0, -19*t = -20*t - 1 for a.
-2
Solve i + 8 = 2*y + 11, -3*i - 3*y = 0 for i.
1
Solve -4*s + r = 4 + 6, -4*s - r = 6 for s.
-2
Solve 0 = 2*o + 10, -9 = -5*f - 3*o + 1 for f.
5
Solve 9 = -5*k - 3*f, 3*k - 3*f + 11 = -4 for k.
-3
Solve 0 = 5*y - 5*t + 15, 7*t - 9*t + 4 = -3*y for y.
2
Solve -50*c + 4 = -46*c - 4*p, -3*c = 2*p - 13 for c.
3
Solve 5*v + 11 = y, 4*v = -3*y - 0*y - 5 for y.
1
Solve -3*q = -2*v - 10 + 11, 4*v - 3*q + 7 = 0 for v.
-4
Solve -6*h + 3*h + 6 = 3*c, 4*c - 5*h - 35 = 0 for c.
5
Solve 5*y + 25 = -7*w + 12*w, -w + 9 = -3*y for w.
3
Solve 5*v - 5*s = -15, -5*v - 9*s + 5*s + 57 = 0 for v.
5
Solve -5*k + 20 = 4*v - 12, -7*v + 13 = -2*k for v.
3
Solve -3*u - 19 = -5*t, -2*u - 4 = -4*t + 10 for t.
2
Solve 2*v - 4*v - 7 = -n, 3*v = 3*n - 6 for n.
-3
Solve -20 = -4*j, 4*f + 50 = 5*j + 9 for f.
-4
Solve 12*y - 20 = 7*y + 4*s, 0 = 3*y + 2*s - 12 for y.
4
Solve -53*h = -5*q - 54*h - 8, 0 = 5*q - 2*h + 14 for q.
-2
Solve -4*f = 12, 0 = -4*s + 4*f - 7*f - 17 for s.
-2
Solve 3*o - 18 = -5*s, -o - 19 - 3 = -3*s for s.
6
Solve -2*h = 4, -4*m = 7*h - 5*h - 16 for m.
5
Solve -a + 4*m = -3, -2*a + 77*m = 76*m - 6 for a.
| {
"pile_set_name": "DM Mathematics"
} |
st common divisor of 3358 and 2774?
146
What is the highest common factor of 1110 and 26196?
222
Calculate the highest common divisor of 475493 and 1687.
241
Calculate the greatest common divisor of 308505 and 15.
15
What is the highest common divisor of 7464 and 292?
4
Calculate the greatest common factor of 30325 and 175.
25
Calculate the highest common factor of 15148 and 868.
28
Calculate the greatest common factor of 307 and 52.
1
What is the greatest common factor of 8400 and 6510?
210
What is the greatest common divisor of 774 and 9504?
18
What is the highest common factor of 2542 and 598641?
1271
What is the highest common factor of 459 and 5343984?
153
Calculate the greatest common divisor of 36 and 34350.
6
What is the greatest common divisor of 9 and 1718019?
9
Calculate the highest common divisor of 32697 and 121100.
1211
What is the highest common divisor of 27472 and 10064?
272
Calculate the highest common divisor of 85521 and 348.
87
What is the highest common factor of 523 and 354594?
523
What is the highest common divisor of 45084 and 21684?
156
What is the highest common divisor of 27 and 77919?
3
What is the highest common factor of 301 and 15566?
43
Calculate the highest common factor of 66102 and 828.
138
Calculate the highest common divisor of 672 and 60284.
28
What is the greatest common factor of 4 and 306116?
4
What is the highest common factor of 11753 and 322?
161
What is the greatest common divisor of 3495 and 355?
5
Calculate the highest common divisor of 27 and 200313.
27
Calculate the highest common factor of 9720776 and 208.
104
What is the highest common divisor of 78600 and 540?
60
What is the highest common factor of 2817720 and 405?
135
What is the highest common factor of 285 and 84465?
15
What is the highest common factor of 127840 and 2992?
272
Calculate the greatest common divisor of 624 and 196248.
312
Calculate the highest common factor of 258 and 36421.
43
Calculate the greatest common divisor of 6825 and 42600.
75
What is the highest common divisor of 37008 and 216?
72
What is the highest common factor of 163125 and 10000?
625
What is the greatest common factor of 574 and 11365487?
287
Calculate the greatest common factor of 1085967 and 1476.
369
What is the highest common factor of 126 and 5453?
7
Calculate the highest common divisor of 1317421 and 2814.
469
Calculate the highest common divisor of 19 and 297217.
19
Calculate the highest common divisor of 1456257 and 99.
33
What is the greatest common divisor of 29808 and 45360?
1296
What is the highest common factor of 158587 and 39?
13
What is the highest common factor of 3077 and 1003?
17
Calculate the highest common divisor of 836 and 8756.
44
Calculate the greatest common divisor of 176 and 174064.
176
What is the greatest common divisor of 327952 and 412?
412
What is the greatest common divisor of 23886 and 36?
18
What is the highest common divisor of 778 and 12994934?
778
Calculate the highest common divisor of 1571787 and 61.
61
Calculate the greatest common factor of 3024 and 70497.
189
Calculate the highest common divisor of 1043 and 50213.
149
What is the greatest common factor of 30152 and 96?
8
Calculate the highest common factor of 126 and 237629.
7
What is the greatest common factor of 114 and 49286?
38
Calculate the highest common divisor of 34901 and 6868.
17
What is the greatest common factor of 512 and 574208?
256
What is the highest common divisor of 203 and 2233?
203
What is the highest common divisor of 2174487 and 952?
119
Calculate the greatest common divisor of 100786 and 28.
14
Calculate the highest common factor of 1616 and 9328.
16
Calculate the greatest common divisor of 1302 and 2171085.
651
Calculate the greatest common divisor of 134660 and 20.
20
Calculate the highest common factor of 5810839 and 283.
283
Calculate the highest common factor of 211410 and 51330.
870
Calculate the greatest common factor of 468 and 498654.
234
What is the greatest common divisor of 3134142 and 72?
18
What is the greatest common factor of 46140 and 2440?
20
What is the greatest common factor of 75592 and 792?
88
Calculate the highest common divisor of 3589 and 370.
37
Calculate the greatest common divisor of 101875 and 652.
163
Calculate the highest common divisor of 2244 and 627.
33
What is the highest common factor of 3495 and 150?
15
Calculate the highest common divisor of 15782 and 270722.
1214
Calculate the greatest common divisor of 113770 and 465.
155
What is the highest common factor of 67 and 16281?
67
Calculate the greatest common divisor of 26 and 54015.
13
What is the highest common factor of 10062 and 129?
129
What is the highest common factor of 202 and 83729?
101
Calculate the highest common factor of 434952 and 2016.
504
Calculate the highest common divisor of 477 and 15423.
159
What is the highest common divisor of 8368826 and 46?
46
What is the greatest common factor of 138384 and 432?
144
What is the greatest common factor of 378 and 1838403?
189
Calculate the highest common divisor of 30316 and 1859.
143
What is the greatest common factor of 352 and 28520096?
352
What is the highest common divisor of 656 and 54448?
656
Calculate the greatest common divisor of 224 and 153188.
28
What is the greatest common divisor of 652 and 2364?
4
Calculate the greatest common divisor of 136 and 43744.
8
Calculate the highest common divisor of 255 and 3945.
15
What is the greatest common factor of 72 and 256?
8
Calculate the greatest common factor of 147 and 2053982.
49
Calculate the highest common factor of 7631 and 1157.
13
Calculate the greatest common divisor of 544 and 20876.
68
Calculate the greatest common factor of 428 and 80.
4
What is the greatest common factor of 4050 and 2538?
54
What is the greatest common factor of 964859 and 1827?
203
What is the greatest common divisor of 40 and 765500?
20
Calculate the greatest common divisor of 1311 and 2071.
19
What is the highest common divisor of 32 and 1236?
4
What is the highest common divisor of 3378485 and 305?
305
Calculate the highest common factor of 443807 and 39.
13
What is the highest common factor of 409853 and 68?
17
What is the greatest common divisor of 253 and 536866?
253
What is the greatest common factor of 88 and 125202?
22
Calculate the greatest common factor of 176 and 1210616.
88
Calculate the greatest common factor of 1436521 and 958.
479
Calculate the highest common factor of 114718 and 82.
82
What is the highest common divisor of 15385 and 3910?
85
Calculate the greatest common divisor of 634661 and 5661.
629
What is the greatest common factor of 854 and 13538?
14
Calculate the highest common factor of 30 and 6430.
10
What is the greatest common divisor of 232021 and 67?
67
Calculate the highest common factor of 13680 and 200.
40
Calculate the highest common factor of 114840 and 72.
72
Calculate the greatest common divisor of 183 and 7.
1
Calculate the highest common divisor of 693 and 979.
11
What is the greatest common divisor of 102630 and 1320?
330
Calculate the highest common factor of 51107 and 298.
149
Calculate the highest common divisor of 70 and 844165.
35
Calculate the highest common factor of 29016 and 40.
8
What is the greatest common divisor of 7250857 and 2686?
1343
Calculate the highest common factor of 2508 and 2200.
44
What is the greatest common factor of 828190 and 220?
110
What is the greatest common divisor of 425640 and 5880?
120
What is the highest common factor of 17507 and 1722?
287
What is the highest common factor of 178048 and 208?
208
Calculate the greatest common divisor of 2630 and 1550.
10
Calculate the highest common divisor of 110430 and 2430.
270
What is the greatest common divisor of 161199 and 9?
9
What is the greatest common factor of 533 and 221741?
13
Calculate the highest common factor of 76 and 178676.
76
What is the highest common factor of 147 and 44443?
49
Calculate the greatest common factor of 31421360 and 80.
80
Calculate the greatest common factor of 2548 and 109928.
364
What is the greatest common factor of 175410 and 180?
90
Calculate the highest common factor of 402 and 390141.
201
Calculate the highest common factor of 18297 and 3021.
57
Calculate the highest common divisor of 3926 and 806.
26
What | {
"pile_set_name": "DM Mathematics"
} |
5130.124 and -3957.
51173.124
-971278 - 2.571756
-971280.571756
-0.50769495 - -1030
1029.49230505
5462.291 - 479678
-474215.709
Calculate -6 - 5002469453686.
-5002469453692
Add together -4 and 383739526187.2.
383739526183.2
What is 0 less than 25997119933032?
25997119933032
What is -496.588 less than 0.008479184?
496.596479184
What is 0.034185 minus -19595.956?
19595.990185
What is 905610672745 minus 40?
905610672705
Add together -0.045856818 and 81799.
81798.954143182
37078 + -12802511008
-12802473930
Subtract -1445.43 from 0.0417494.
1445.4717494
What is -10573600.11 plus -16591.1?
-10590191.21
Put together 25630122.37946 and 0.08.
25630122.45946
What is 27484.56 + -50633715?
-50606230.44
What is the difference between -851688 and -6680.6256?
845007.3744
Work out 17621123.87234 - -0.3.
17621124.17234
Calculate -9034.351262 - 0.073.
-9034.424262
Add together 3756887 and 47.17.
3756934.17
Calculate -2689717156 - 531064.
-2690248220
What is the distance between 0.5 and 1178459973579?
1178459973578.5
1.7 + -725657706795
-725657706793.3
What is 54.198287349 less than 0.2?
-53.998287349
-0.5+-3339707609846
-3339707609846.5
Add together 446048.738 and 0.721.
446049.459
Add together 501 and -631970099.
-631969598
Work out 216698.1413197 + 0.1.
216698.2413197
Work out 11.041 + -12310702.
-12310690.959
What is 0.753865908 + -5379?
-5378.246134092
Work out -0.07 - -1183634722734.
1183634722733.93
What is 1003.87155238 - 0.0677?
1003.80385238
-2.690551831 - -0.32417
-2.366381831
Calculate -9010738.9358 + 2.
-9010736.9358
Add -292632 and 169.11601.
-292462.88399
Calculate -455 + 0.24610959819.
-454.75389040181
-61770423769604 - -18
-61770423769586
What is the difference between 8 and 2180642379889.3?
2180642379881.3
What is 36277070425 + -13?
36277070412
What is 57.6 + 7203836877?
7203836934.6
What is the distance between 120865 and -0.16829014?
120865.16829014
Put together -60166228.3 and -930856.
-61097084.3
-1542096289 - 129
-1542096418
-14128668.1171+-0.2
-14128668.3171
Put together -488.5 and -0.0770378.
-488.5770378
-93 + -126871312
-126871405
-1943.1241758845+-2
-1945.1241758845
Calculate -1215030122.3683 - -5.
-1215030117.3683
What is the difference between 0.26962582359 and -67?
67.26962582359
-30532 + 40194654
40164122
Subtract 649 from -822240627.
-822241276
247110851999 + 0
247110851999
Add together 1814806779 and -38.2.
1814806740.8
Subtract -25659.47456 from 0.131.
25659.60556
What is -0.399 less than -21561555237?
-21561555236.601
Add 60 and -2909.36757414.
-2849.36757414
4051.8018465 + -0.1
4051.7018465
What is -130.6 + -3128566.89?
-3128697.49
What is 0.02 take away 45.305687332?
-45.285687332
What is -1.64 plus 46222.8922?
46221.2522
What is -113960 minus 24545.156?
-138505.156
Calculate -106.2503 - -8.6411.
-97.6092
What is the distance between -48898 and 37738.201?
86636.201
Subtract 33 from -1388611862.
-1388611895
Put together 0.2 and -776197622466.
-776197622465.8
1200.061+6121.5
7321.561
Total of -26 and -2817618251355.
-2817618251381
Calculate 185225.05 - 0.03788.
185225.01212
Add -80.16551 and 17369.
17288.83449
Calculate -216418.592670417 + -0.1.
-216418.692670417
Calculate 47463.45 + 5461785.
5509248.45
What is -1205 - -29.760092?
-1175.239908
Calculate 1924102656 + -3.37.
1924102652.63
0.1+-728239254382
-728239254381.9
-9807918+-92269205
-102077123
-1367840957 + -1.047
-1367840958.047
What is -0.3 less than -572459074507?
-572459074506.7
Put together -3589200 and -2117.05.
-3591317.05
Put together 0.009368895593625 and -3.
-2.990631104406375
What is -37453429142 take away 603?
-37453429745
What is 1404743247161 less than 0.045?
-1404743247160.955
Add -481597303804.19 and 0.5.
-481597303803.69
Sum 0.0297623258 and 0.12582.
0.1555823258
Add 56.9383 and -58034.3246.
-57977.3863
What is 0.044 minus -189483003593?
189483003593.044
Put together -6.4619123 and 0.86353.
-5.5983823
Calculate 0.288 - -210686709035.
210686709035.288
What is 29.980651477 less than 66?
36.019348523
What is the distance between -114303156778 and 0.01?
114303156778.01
-35471478.9+1587
-35469891.9
What is -1947 - 223673983794?
-223673985741
Subtract 9840050963 from -79.
-9840051042
What is -108707563 take away 0.3467?
-108707563.3467
What is the distance between -6483 and 541140.6542?
547623.6542
Work out -26238.3 - 71079.
-97317.3
371820259+1661
371821920
What is the distance between 3 and 255092380568?
255092380565
What is 5016477659901 less than 0.2?
-5016477659900.8
What is 19223228420 plus -17?
19223228403
What is 20 + 18.729937765?
38.729937765
Add -2 and -111548.203411815.
-111550.203411815
3.35 + 166576304342
166576304345.35
What is the distance between 0.18259039 and -0.0337?
0.21629039
What is -58822582800 minus 1425?
-58822584225
What is the distance between -321644.769 and -10.456?
321634.313
What is 1.00160356 plus 3.33866?
4.34026356
What is 2 less than 68737.516376?
68735.516376
Work out 884481 + 6.4945.
884487.4945
What is -1164850098840 minus -0.089?
-1164850098839.911
Calculate 6 + -188808928461896.
-188808928461890
Total of 3350415.81 and -5232.
3345183.81
What is 227 take away 1415851247?
-1415851020
What is 663626977 minus 0.08419?
663626976.91581
Add together 0.1515 and -106.0773932.
-105.9258932
Sum 653296882392.6 and -0.07.
653296882392.53
Total of -0.4 and -1511640.02416.
-1511640.42416
What is 24078904555.3 - 6?
24078904549.3
What is 3088 plus -0.778595792?
3087.221404208
What is -41993764544792 minus 3?
-41993764544795
Work out -942 + 28229976.
28229034
Total of 2.9232777 and -584658.
-584655.0767223
What is 0.39 less than -23974.38598?
-23974.77598
-0.5 - 729213590764
-729213590764.5
Total of 28690465808 and -21.
28690465787
Add -6364448953 and 302.
-6364448651
Calculate 41.770783681 - 1.38.
40.390783681
Put together -161519981 and 50486.
-161469495
Add together -311701561 and -22.
-311701583
51 + -17055887247
-17055887196
Work out -585244218 + 16.1.
-585244201.9
What is -33511617802221 plus -9?
-33511617802230
Calculate 0.03 - -12532.669332258.
12532.699332258
37848+50.13673
37898.13673
What is -1044776.2981696 - -0.3?
-1044775.9981696
-0.04+12199490709387
12199490709386.96
0.6179168+0.44806
1.0659768
-20481.96 + -293.62
-20775.58
What is 1.84 minus 2643602997?
-2643602995.16
Add together 25824 and 11848008597.
11848034421
Add 391842 and -4230.6313.
387611.3687
Sum 10372 and -0.05541715.
10371.94458285
Calculate 6368230759442.6 - 0.2.
6368230759442.4
What is the difference between 9700910815.40575 and 0?
9700910815.40575
Calculate 14.88209468 + -0.1346.
14.74749468
Put together 3302196050.4 and -12093.
3302183957.4
Sum -8426 and 1399.788024.
-7026.211976
Work out 3 - 416638.444228.
-416635.444228
What is 25.12 + 62039507348?
62039507373.12
Work out 3 - 61994378834.
-61994378831
Work out -46.2247799 + 65352.
65305.7752201
Put together -5 and 299421.3142311.
299416.3142311
Add -92.136607 and -0.3396793.
-92.4762863
Total of -0.03 and -1096552.69017414.
-1096552.72017414
Work out 0.16620922 + -24898.
-24897.83379078
What is the distance between 661440.2 and -63282?
724722.2
Calculate 100 - 27611517.004.
-27611417.004
Calculate -302956.1511 + 7645.
-295311.1511
Add together 518.8 and 2597.396838.
3116.196838
0.2 - -6208232892115
6208232892115.2
What is the distance between -10 and 26771894467?
26771894477
Work out -2065 - 1926.94372.
-3991.94372
Work out 271905959 - -126.
271906085
Add -46470699254 and -0.4.
-46470699254.4
What is the distance between -10558345964 and 189?
10558346153
What is the difference between -4.89 and -9.0495236?
4.1595236
Work out 46164160 + 37553.
46201713
Subtract -4984.3387 from 32081.
37065.3387
What is the difference between 0.2 and -29768486626.188?
29768486626.388
Work out 0.3 + 20851039010.
20851039010.3
Add together 35443060 and -21094.
35421966
Add 2823869167855 and -11.9.
2823869167843.1
Sum 5.557572 and 139.2.
144.757572
What is 42056495410 take away 75?
42056495335
Put together -0.4858 and 263922037.
263922036.5142
400658438869684+-1
400658438869683
-2376+-65008.409
-67384.409
Calculate 3.182 + -0.021887084.
3.160112916
Work out 0.0265 + 810081381.
810081381.0265
What is -0.648 - -8002137001?
8002137000.352
What is -3 + -7147901706266?
-7147901706269
-5 - -6883142882
6883142877
What is the d | {
"pile_set_name": "DM Mathematics"
} |
to 3 dps.
0.019
Round 20.8863 to 0 dps.
21
Round 8823 to the nearest one hundred.
8800
Round 1.1279 to one decimal place.
1.1
What is -0.017042 rounded to 4 dps?
-0.017
What is 9405 rounded to the nearest ten thousand?
10000
Round -0.28217 to 3 dps.
-0.282
Round -0.00000106 to 7 decimal places.
-0.0000011
What is -0.0071811 rounded to three dps?
-0.007
Round 0.26327 to 2 decimal places.
0.26
What is -6490400 rounded to the nearest one hundred thousand?
-6500000
Round -268520 to the nearest ten thousand.
-270000
What is -0.0003181 rounded to four decimal places?
-0.0003
What is -64460 rounded to the nearest 1000?
-64000
Round -3223.8 to the nearest 100.
-3200
Round 1627.1 to the nearest ten.
1630
Round 1.78108 to 2 decimal places.
1.78
Round -679 to the nearest 10.
-680
Round 0.017162 to 4 decimal places.
0.0172
Round -192.66 to the nearest 10.
-190
What is 283500 rounded to the nearest one hundred thousand?
300000
Round -0.00322 to 3 dps.
-0.003
What is 0.0006402 rounded to 5 dps?
0.00064
What is 138.3 rounded to the nearest integer?
138
Round 0.0014 to four dps.
0.0014
What is -0.52801 rounded to 2 decimal places?
-0.53
What is -1499 rounded to the nearest one hundred?
-1500
Round 139700000 to the nearest 1000000.
140000000
Round -27.94 to 0 dps.
-28
What is -8.705 rounded to zero decimal places?
-9
What is 0.00000846 rounded to 5 decimal places?
0.00001
What is 35050 rounded to the nearest 10000?
40000
What is 750.16 rounded to the nearest 100?
800
What is -2288000 rounded to the nearest one hundred thousand?
-2300000
What is -0.00016854 rounded to six dps?
-0.000169
What is -0.00000775 rounded to 6 dps?
-0.000008
What is 0.0000005897 rounded to seven dps?
0.0000006
What is -0.0004345 rounded to 5 dps?
-0.00043
What is -14302 rounded to the nearest 1000?
-14000
Round -7430700 to the nearest one hundred thousand.
-7400000
What is -0.0000379 rounded to 6 decimal places?
-0.000038
Round 0.000097 to four decimal places.
0.0001
Round -0.010708 to 4 dps.
-0.0107
What is 0.00012882 rounded to five decimal places?
0.00013
Round -0.000004709 to seven dps.
-0.0000047
Round 0.2794 to 2 decimal places.
0.28
Round 0.0000452 to five dps.
0.00005
What is -0.000000312 rounded to 7 dps?
-0.0000003
What is -456.67 rounded to the nearest 100?
-500
What is -527900 rounded to the nearest ten thousand?
-530000
What is -0.00000918815 rounded to six dps?
-0.000009
What is 0.0585 rounded to 3 decimal places?
0.059
What is 597.07 rounded to the nearest ten?
600
Round 557.1 to the nearest 100.
600
Round 908500000 to the nearest one million.
909000000
What is 0.0000765 rounded to five dps?
0.00008
Round 619240 to the nearest ten thousand.
620000
What is 783.5 rounded to the nearest 10?
780
What is 0.013576 rounded to 4 decimal places?
0.0136
What is 45820000 rounded to the nearest 1000000?
46000000
What is -10318000 rounded to the nearest one million?
-10000000
What is -73.61 rounded to the nearest 10?
-70
What is 0.009205 rounded to 3 decimal places?
0.009
Round 0.000886 to 4 dps.
0.0009
What is -0.000140385 rounded to 5 decimal places?
-0.00014
Round -0.118097 to 2 dps.
-0.12
What is 22429500 rounded to the nearest 1000000?
22000000
Round 0.002173 to 4 dps.
0.0022
Round -76880 to the nearest one thousand.
-77000
What is 0.000006715 rounded to seven dps?
0.0000067
What is 1832000 rounded to the nearest 1000000?
2000000
Round 45660000 to the nearest one million.
46000000
What is 1383900 rounded to the nearest ten thousand?
1380000
Round -1024200 to the nearest 10000.
-1020000
Round -0.0497515 to 3 dps.
-0.05
Round 54.71 to the nearest 1000.
0
What is 295.7 rounded to the nearest ten?
300
Round -42921 to the nearest one thousand.
-43000
What is -0.6816 rounded to 0 decimal places?
-1
Round 0.0022726 to four decimal places.
0.0023
Round 0.0784 to two decimal places.
0.08
Round 0.026768 to four decimal places.
0.0268
Round -0.0026051 to 3 decimal places.
-0.003
Round -0.0007565 to four decimal places.
-0.0008
What is 0.005992 rounded to four decimal places?
0.006
Round -29840000 to the nearest one million.
-30000000
What is 46300000 rounded to the nearest one million?
46000000
What is -0.0004311 rounded to 4 dps?
-0.0004
What is 0.000017946 rounded to 7 dps?
0.0000179
What is -0.00004811 rounded to five dps?
-0.00005
What is -1.12504 rounded to zero dps?
-1
Round 282.2 to the nearest ten.
280
Round -0.0045 to three decimal places.
-0.005
Round -42500 to the nearest 10000.
-40000
Round 0.22722 to 2 dps.
0.23
What is -7.998 rounded to one decimal place?
-8
What is 2054.2 rounded to the nearest 10?
2050
What is -14.215 rounded to 1 decimal place?
-14.2
Round -1299.44 to zero decimal places.
-1299
What is -1009.8 rounded to the nearest 100?
-1000
What is -5.208 rounded to the nearest integer?
-5
What is -0.000335342 rounded to 6 dps?
-0.000335
Round -26800 to the nearest 1000.
-27000
What is 14312 rounded to the nearest 100?
14300
What is -91790 rounded to the nearest 1000?
-92000
What is 0.424 rounded to 1 decimal place?
0.4
What is 42450000 rounded to the nearest 1000000?
42000000
Round -0.001613 to four decimal places.
-0.0016
What is -0.06143 rounded to 3 dps?
-0.061
What is 0.0038686 rounded to three decimal places?
0.004
What is -4723200 rounded to the nearest 100000?
-4700000
Round -1405.15 to the nearest 100.
-1400
What is 310.7 rounded to the nearest ten?
310
What is -0.000029813 rounded to six dps?
-0.00003
What is 0.0000012382 rounded to 6 decimal places?
0.000001
What is 173200 rounded to the nearest 10000?
170000
What is 1144.45 rounded to the nearest ten?
1140
Round 3055 to the nearest one hundred.
3100
What is -3797 rounded to the nearest 100?
-3800
What is -2896.3 rounded to the nearest one thousand?
-3000
Round -23820000 to the nearest 1000000.
-24000000
What is 2204600 rounded to the nearest 10000?
2200000
What is 237090 rounded to the nearest ten thousand?
240000
Round -0.01473 to 4 decimal places.
-0.0147
Round 0.0029521 to four decimal places.
0.003
Round 0.0012703 to four decimal places.
0.0013
Round -0.000269 to 4 dps.
-0.0003
Round 0.000108222 to six dps.
0.000108
Round -0.0126707 to four decimal places.
-0.0127
Round 0.00008055 to 6 dps.
0.000081
Round 1556100 to the nearest ten thousand.
1560000
What is -4050 rounded to the nearest one thousand?
-4000
Round 0.00036127 to five dps.
0.00036
Round 0.00051065 to four dps.
0.0005
Round -0.0099533 to 3 decimal places.
-0.01
Round -0.00195 to four decimal places.
-0.002
Round -0.814 to 2 decimal places.
-0.81
What is -6465 rounded to the nearest one hundred?
-6500
What is 0.0009453 rounded to 5 dps?
0.00095
Round 0.0000025709 to seven decimal places.
0.0000026
Round -204.2 to 0 decimal places.
-204
What is -6.9087 rounded to the nearest integer?
-7
Round 0.00092 to three dps.
0.001
Round -0.117813 to two dps.
-0.12
What is 0.0000028 rounded to six dps?
0.000003
Round -17.77 to the nearest integer.
-18
Round 0.0000156 to 5 decimal places.
0.00002
What is -1368 rounded to the nearest 100?
-1400
What is -712.3 rounded to the nearest 10?
-710
Round 749800 to the nearest 10000.
750000
Round 0.00000329858 to seven decimal places.
0.0000033
Round -0.00016588 to 5 dps.
-0.00017
What is 0.0000237 rounded to five decimal places?
0.00002
Round 6389800 to the nearest one hundred thousand.
6400000
What is -2772000 rounded to the nearest 100000?
-2800000
Round -0.0001824 to four decimal places.
-0.0002
Round -172500 to the nearest one hundred thousand.
-200000
Round 7.6974 to 1 dp.
7.7
What is 0.0000021762 rounded to 7 dps?
0.0000022
Round -0.000133 to 5 decimal places.
-0.00013
What is -7508 rounded to the nearest one hundred?
-7500
What is 2968 rounded to the nearest 100?
3000
What is -0.023021 rounded to 3 decimal places?
-0.023
What is 6000 rounded to the nearest 1000?
6000
What is 196.4 rounded to the nearest ten?
200
What is -14168000 rounded to the nearest one million?
-14000000
What is 4.161 rounded to 1 dp?
4.2
What is 0.0000265 rounded to six decimal places?
0.000027
What is 94390000 rounded to the nearest 1000000?
94000000
What is 2941500 rounded to the nearest ten thousand?
2940000
Round -0.00057075 to four dps.
-0.0006
What is -28000000 rounded to the nearest 1000000?
-28000000
What is -0.00199 rounded | {
"pile_set_name": "DM Mathematics"
} |
(-25) - (-9)/5. Solve 2 - b = m for m.
1
Suppose 0 = 5*s - 10 - 5. Suppose s*d + 9 = 3*w, d + 4*w = 3*d + 16. Solve d*h = -2*h - 4 for h.
-1
Suppose -16*x - 32 = -24*x. Let b = 0 - 0. Solve f - 2*f - x = b for f.
-4
Let z be 490/42 - (-5)/(-3). Solve p = -p + z for p.
5
Suppose 0 = -2*a - p + 3*p - 6, -4*p = 5*a - 30. Solve a*s = -s for s.
0
Let t = 19 + -12. Let l = t - 5. Suppose l*p - 15 = 4*w - 1, w + 21 = 3*p. Solve -3*z - p = 8 for z.
-5
Suppose -4*p = -4*k - 2*p + 18, 29 = 2*k - 5*p. Solve -5*w + k = -7*w for w.
-1
Suppose 0 = -u + 4*n - 17, u - 2*n + 22 = -u. Let t = -6 - u. Solve 2*b - 25 = -t*b for b.
5
Let n(w) = w + 5. Let m be n(0). Let k = 7 - m. Let o be 1*(k + -2 - -1). Solve x + o = 2 for x.
1
Suppose 5*o = h - 1, -23 = 2*h - 5*h - 5*o. Solve -8*g = -h*g + 6 for g.
-3
Suppose 4*j = -3*n + 16, -2*n + 0*j + 12 = 4*j. Solve n = l - 1 for l.
5
Let o(a) = -a**3 + a**2 + a + 3. Let i be o(0). Solve 0*c = -i*c - 6 for c.
-2
Let n = 4 + -2. Solve -n*k + 15 = 3*k for k.
3
Suppose 6 = 8*r - 26. Suppose 0 = 5*d - 2*s - 54, -2*d + 11 = -3*s - 4. Let z = 21 + -13. Solve z + d = r*x for x.
5
Let j = -2 - -9. Suppose -x + j = -4*o - 1, 0 = 3*o + 2*x - 5. Let y be o/(-5) + (-118)/(-10). Solve -u - y = 3*u for u.
-3
Suppose -2*n - 14 = 4. Let d be -18*((-1 - -2) + 0). Let b be (-9)/d - n/2. Solve b*z + 31 = 6 for z.
-5
Let q(j) = -2*j + 5 - 3*j + 3*j. Let a be q(-4). Solve 5*z = -7 - a for z.
-4
Let z = -22 - -28. Solve -4*y = -26 + z for y.
5
Suppose 7 + 13 = 5*d. Suppose -h - 1 = b + d*b, 4*h + 4*b = 12. Solve -g + h = g for g.
2
Let l(c) = -c - 3. Let u be l(-6). Suppose x + 6 + 2 = 4*s, -u = -3*x + 3*s. Solve -3*t = -7*t - x for t.
-1
Let o = -98 - -100. Solve -6 = -5*f + o*f for f.
2
Let m be 126/33 - (-2)/11. Let c = m + -6. Let g be 190/8 + c/(-8). Solve 5*y + g = -1 for y.
-5
Suppose 0 = -5*o + 5*u + 35, -3*o - 3*u = -12 + 3. Let i be (3/4)/(3/12). Solve -1 - o = i*s for s.
-2
Suppose 5 - 17 = -3*p. Solve p*l = -0*l for l.
0
Suppose 5*o = -3*v - 2*v, o - 24 = 5*v. Suppose 0 = -3*k + 2*k - 5*g - 6, -3*k + 33 = -2*g. Suppose 7*a - 6*a - 7 = 0. Solve k = -o*z - a for z.
-4
Suppose 0 = 4*s - 10*s + 18. Let m be (-1 - -1) + 0/s. Solve m = g - 5*g for g.
0
Let f(c) = c - 1. Let u be f(3). Suppose -3*b = 2*p + 2, 0 = -5*p - 6 - 14. Solve u*a + b = a for a.
-2
Suppose 4*a = 5*g + 15, 0 = -2*a + 2*g - 2 + 8. Let c be (1 - -2)/(6/8). Solve a = c*l - 0*l - 20 for l.
5
Suppose 0 = -2*g - 3*g + 15. Suppose 0*q + i = 2*q - 7, 5*q + g*i = 12. Solve 5 - q = 2*t for t.
1
Let l(d) be the third derivative of d**5/30 + d**4/12 + d**3/6 - 2*d**2. Let p be l(-2). Let r(m) = m**3 + 6*m**2 + 8. Let v be r(-6). Solve p*n - v = n for n.
2
Let x be (12/(-16))/((-12)/112). Solve -3*t - x = -4 for t.
-1
Suppose 0 = 2*i - 3*p + 2, p + 27 = -5*i + 3*p. Let v = -2 - i. Solve -v*k - 3 = -2*k for k.
-1
Suppose 4*q - 22 = 4*n - n, 0 = 2*q + 5*n - 24. Suppose q*p + 3 = 8*p. Solve -p*a - 3 = -12 for a.
3
Let u = 152 + -151. Solve -u = -2*l + 1 for l.
1
Let f(r) = -2*r + 14. Let a be f(5). Solve 5*n - n - a = 0 for n.
1
Let l(m) = 2*m**3 + 2*m**2 - m. Let f be l(1). Solve 0 = 3*c - 3 - f for c.
2
Let h(c) be the first derivative of -c**3/3 - 3*c**2 + 6. Let g be h(-5). Solve 5*k = g + 10 for k.
3
Let r(j) = -j**2 + j + 2. Let n be r(0). Let b be (0 - 0)/(2/n). Solve -3*f = -b*f + 3 for f.
-1
Let l = -91 + 103. Solve -l = 5*o + 8 for o.
-4
Let h be 9 + (1 - 3)/2. Let g = -4 + h. Let s(q) = 9*q - 6. Let y be s(g). Solve y = 4*u + 10 for u.
5
Let h(v) = 0*v - 4 + 3*v + 3*v. Let n be (-7 + -1)*(-2)/4. Let w be h(n). Solve j + w = 6*j for j.
4
Let t be (-3 + 1/1)/(-1). Let q be 8/(-5)*(-5)/t. Suppose 0*h = 2*h - 4. Solve -r - h + q = 0 for r.
2
Let d(l) = -l + 4. Suppose -3*a + 3*w = -4*a, w = -2. Let n be (-4)/6*a*1. Let q be d(n). Solve 4*s = q*s - 12 for s.
3
Let b(i) = 2*i**2 + 6*i + 6. Let m be b(-3). Solve 5*f - m = 3*f for f.
3
Suppose -5*x + j = -21 + 4, -5*x + 29 = 3*j. Let a be 1 + 0 + -1 + x. Solve -a - 11 = -5*v for v.
3
Suppose -3*t = -6*t - 2*l + 8, -l = -4*t + 29. Let z = 14 + -11. Suppose 3 = -z*g + 9. Solve g = q + t for q.
-4
Suppose 5*f = 4*f - 4*q - 17, 0 = 4*f - 3*q - 27. Solve 0 = -f*u + u + 10 for u.
5
Let a = 3 - 1. Suppose 0 = -2*h + 3*h - 5. Suppose 5*x + 20 = 5*f, 3*f = h*x - f + 16. Solve -a*i = -x*i for i.
0
Let z(t) = 5 + 4*t**2 - 5*t - 3*t**2 + 0*t**2. Let k be z(5). Suppose -k*h + h + 16 = 0. Solve 0*o - h*o + 20 = 0 for o.
5
Let t(f) = 14*f**2 - 3*f + 1. Let j be t(1). Let c be 28/j + (-4)/(-6). Solve c*h = -0 + 6 for h.
2
Let v(i) = i**3 + i**2 + i - 2. Let a be v(2). Suppose 4 = c + c. Let q be (1 - (c + -3)) + -2. Solve -a + q = -4*s for s.
3
Let a(d) = 2*d + 5. Let u be (3 - 8)/(2/(-4)). Let v be a(u). Solve -v = -h + 6*h for h.
-5
Let o(a) = -a. Let c be o(-5). Suppose 2*d - d - 5*s - c = 0, 0 = -s - 1. Solve d = -q + 2*q - 2 for q.
2
Let w(c) = -c**3 + c**2 + 2*c. Let y be w(-1). Solve -q + 0*q + 3 = y for q.
3
Let f(o) = o + 4. Let q be f(-2). Suppose 3*y + q = h, 0*y - 3*h = 2*y - 6. Suppose z - 4*z = y. Solve z = -i - i for i.
0
Suppose 5 = 3*t + 5*n, t + 0*n + 4*n = 4. Solve -5*i = -t*i + 5 for i.
-1
Let y(t) = -2*t - 14. Let r be y(-9). Solve r*j = 6 + 2 for j.
2
Let r = 7 - 4. Suppose 5*p - 4 - 8 = -r*k, 0 = -4*p + 5*k + 17. Suppose -3*o - 2*o = -10. Solve j - p = o for j.
5
Let h be 12/20 - 2/(-5). Let s = 4 - h. Suppose -25 = -4*q + 2*y + 1, -24 = -s*q + 3*y. Solve -3 = -2*c + q for c.
4
Suppose 2*s = -h - 35, -3*s = -2*h - 5 - 37. Let f = -24 - h. Solve -4 = -f*z - 16 for z.
-4
Let u = -4 + 6. Let b = 5 - u. Suppose -d + 2 = -3. Solve z - d = -b for z.
2
Let z be (-74)/(-26) - (-2)/13. Solve -12 = -3*m - z for m.
3
Let f be 21/(-63) - (-14)/6. Suppose -3*h - 13 = -5*v + 12, -v - 3*h = -5. Solve -f*c + 6 = -v*c for c.
-2
Let o be 12*-1*1/(-2). Suppose 2*b + 3*z = 2, -4*z + o*z = -4. Solve 11 = b*s - 1 for s.
3
Suppose 4*k - 18 = 6. Solve 2*n - k*n = 0 for n.
0
Suppose 8*v = 5*v. Suppose v = -3*h + 4*h - 2. Solve h*k = -0*k - 8 for k.
-4
Let c be -1*3/6*-10. Let y = 8 - 26. Let a = 34 + y. Solve 1 - a = c*k for k.
-3
Suppose 3*c = -t, 0*c = c + 4. Suppose -5*r - l = -5, 2*l - 1 = -r - 9. Solve -r*j + t = j for j.
4
Let w(j) = j**3 - 7*j**2 + 2*j + 5. Let g be w(7). Suppose -g = -5*y + 6*u - 3*u, -4*y - 2*u + 24 = 0. Solve -11 - 4 = y*q for q.
-3
Let v(l) = -l**2 - 6*l + 3. Let h be v(-6). Solve 0 = p - h*p - 2 for p.
-1
Let t(p) be the third derivative of -p**6/120 + p**5/12 + p**4/12 + p**3/6 + 4*p**2. Let g be t(4). Let o = g + -17. Solve -o = 8*j - 4*j for j.
-2
Suppose -5*a + 1 + 14 = 0. Suppose 3*w = 3*j - a, 0 = -w + 3*j + 2*j - 17. Solve -w = 4*c - 3*c for c.
-3
Let m = -1 + -2. Let n = 3 + m. Solve -t + 1 + 2 = n for t.
3
Let j be (-32)/(1 - -1) + 1. Let r = 17 + j. Solve n - r + 6 = 0 for n.
-4
Suppose z + 0*z = 0. Solve -3*y = -z*y - 6 for y.
2
Suppose 3*b - 18 = -5*l, 7 = 4*b + 3. Suppose x + 1 = w, 0 = 5*w - l*x - 3. Solve w = -k + 2*k for k.
0
Let v = 1 - 1. Let x = -20 - -6. Let q = -11 - x. Solve v*d - q = -d for d.
3
Suppose -g + j + 15 = 0, 19*j = -4*g + 21*j + 50. Solve 6*n + g = -8 for n.
-3
Let g = 0 + 3. Suppose -3*m + 8*m + 20 = 0, 0 = 2*f + m. Suppose g = 4*n - t, 6 = -2*n - n - f*t. Solve n = -4*o + 3*o for o.
0
Suppose -a + 0*j + 15 = 3*j, 0 = a + j - 9. Let d(f) = 0 + f - 2*f + a. Let c be d(6). Solve c*m = -4*m for m.
0
Suppose 10*w = 56 + 4. Solve -w*i + i + 10 = 0 for i.
2
Let p(c) = 6*c**2 + c - 1. Let i be p(1). Solve -10 = -i*o + o for o.
2
Let z be -1 - (-6)/(2 + 0). Suppose 3*y + 3 = 4*t - 9, y - 6 = -z*t. Solve y - 3 = -o for o.
3
Let m be 22*(-6)/(-9) - (-13)/39. Solve o = 6*o - m for o.
3
Suppose 7*o - 12 = 5*o. Let r = 8 - o. Solve 0 = -2*v + v + r for v.
2
Suppose 30 = 2*n - s, -2*s - 9 = -n + 6. Suppose -3*q - k = -4*q, -3*q = -2*k. Solve q = 2*p + 3*p - n for p.
3
Suppose 4*a + 2*u + 53 = 21, -3*u = 5*a + 40. Let w = a - -10. Suppose w*k + 10 = 0, 5*k = 2*t - 0*t - 27. Solve 2*g = t + 3 for g.
2
Let a = 9 - 5. Suppose -2*n + a = -6. Solve -n*f + 3 = -22 for f.
5
Let n = -41 + 46. Solve -2 = -n*g - 17 for g.
-3
Let f(l) = -l - 7. Let c(m) = -m**3 - 6*m**2 + 10*m + 8. Let p be c(-7). Let u be f(p). Solve -3*s + u = -s for s.
3
Let j be (-1)/(-2)*2 - 1. Suppose 0*x = 2*x - 6. Let p(z) = z** | {
"pile_set_name": "DM Mathematics"
} |
6*z - 763 + 571 for z.
2
Solve -41*k - 45*k = 365 + 2301 for k.
-31
Solve -6*g - 5566 = 219*g + 28*g for g.
-22
Solve 807*r - 825*r = 396 for r.
-22
Solve -53*q - 456 = -29*q for q.
-19
Solve 7112*y + 1608 = 7179*y for y.
24
Solve 0 = 46*s - 777 + 1283 for s.
-11
Solve -2251*v = -2287*v - 792 for v.
-22
Solve -44*g = -7*g + 296 for g.
-8
Solve 1890 + 1806 = -388*q - 4452 for q.
-21
Solve -3778*t + 3765*t = 0 for t.
0
Solve 331*t - 108*t = 3836 + 178 for t.
18
Solve -84*q = 305*q + 1771 + 6009 for q.
-20
Solve -16*t - 195 = -31*t for t.
13
Solve -549*b + 501*b = -432 for b.
9
Solve -107*a + 163*a = 1120 for a.
20
Solve -297 = 52*g - 37*g - 117 for g.
-12
Solve 28283 - 28437 = -7*o for o.
22
Solve 143*y + 546 = 65*y for y.
-7
Solve -14*x + 326 = 5*x + 193 for x.
7
Solve -2 - 67 = -24*z + 3 for z.
3
Solve -3000 = -9*c - 2892 for c.
12
Solve 254*u - 1488 = 161*u for u.
16
Solve 0 = 56*f + 46*f - 16*f - 946 for f.
11
Solve -27*q = 3775 - 3127 for q.
-24
Solve -93*l - 2057 = -214*l for l.
17
Solve -7*r = 25*r + 76*r - 1728 for r.
16
Solve 1017*k - 220*k = -180*k + 6839 for k.
7
Solve 73655*y + 840 = 73685*y for y.
28
Solve -141*p - 351*p + 2562 + 2358 = 0 for p.
10
Solve 25*n - 119*n = -752 for n.
8
Solve -144*l - 213*l = 205*l - 9554 for l.
17
Solve 0 = 3*b + 99 - 54 for b.
-15
Solve 0 = 40*c + 334 - 774 for c.
11
Solve 55*l + 122 = -136 + 38 for l.
-4
Solve -104*u + 45*u = 1003 for u.
-17
Solve 0 = -42*p + 35 + 259 for p.
7
Solve -8464 = 679*w + 415*w + 2476 for w.
-10
Solve -281*m = -8105 + 2485 for m.
20
Solve 598*z = 555*z + 86 for z.
2
Solve 22 + 357 = -42*v - 167 for v.
-13
Solve -3446 = -450*u + 154 for u.
8
Solve 25*u - 14*u + 851 = -26*u for u.
-23
Solve -5*o = 111 - 36 for o.
-15
Solve 0 = -236*b - 142 + 1086 for b.
4
Solve -119*k + 230*k - 135*k = 336 for k.
-14
Solve -13*f - 7 = -8 + 14 for f.
-1
Solve 0 = -0*d - 0*d - 4*d + 88 for d.
22
Solve -678 + 1542 = -54*s for s.
-16
Solve 32*u + 72 = 24*u for u.
-9
Solve 0 = -16672*p + 16627*p + 180 for p.
4
Solve 142*y - 4439 + 1610 = -1551 for y.
9
Solve -185*a + 126*a = 155 + 1084 for a.
-21
Solve -1039 = -13*t - 1039 for t.
0
Solve -98*p + 18105 = 911*p + 56*p for p.
17
Solve -99*r = -287*r + 376 for r.
2
Solve -75*c + 81*c + 17 = -1 for c.
-3
Solve -852 = 485*h + 874 - 271 for h.
-3
Solve 27 + 238 = -53*u for u.
-5
Solve 397*k + 1224 + 3091 = -449 for k.
-12
Solve 4159 - 4115 = 22*g for g.
2
Solve 1326*l + 12629 = -8587 for l.
-16
Solve -296 = 111*n + 148 for n.
-4
Solve 145*c = 474*c + 8225 for c.
-25
Solve 16435 = 971*o + 2841 for o.
14
Solve 18*c + 39*c - 212 = 16 for c.
4
Solve 4*y + 61 = 101 for y.
10
Solve -7*s - 229*s + 4930 = 54*s for s.
17
Solve 169*z - 12958 = -1009*z for z.
11
Solve -6*o = -3*o - 10*o + 70 for o.
10
Solve 342 + 164 + 178 = 76*p for p.
9
Solve 0 = -83*l + 166*l - 332 for l.
4
Solve 846*s = 448*s + 421*s - 782 for s.
34
Solve 0 = -219*b + 93*b + 102*b + 48 for b.
2
Solve -13311 = 1648*t - 2107*t for t.
29
Solve -485 - 831 = -47*j for j.
28
Solve -11*g - 414 = -667 for g.
23
Solve -1439 + 823 - 1749 = 473*u for u.
-5
Solve 0 = 64*w + 147 - 97 + 846 for w.
-14
Solve -3*w + 10*w = 276*w + 6187 for w.
-23
Solve -5*d - 1833 = -1878 for d.
9
Solve -1510*a + 1446*a + 2112 = 0 for a.
33
Solve -4580*d = -4543*d for d.
0
Solve 248*l + 308*l = -1384 - 2508 for l.
-7
Solve -128*s = -258*s + 150*s + 40 for s.
-2
Solve 31*q - 802 = -12 - 15 for q.
25
Solve -59*p = 1897 - 2959 for p.
18
Solve 203*r - 114 = -1129 for r.
-5
Solve 15*c + 166 = 7*c + 94 for c.
-9
Solve 7*l - 148 = -71 for l.
11
Solve -149*c + 2550 = -4481 + 2114 for c.
33
Solve -46*h + 133*h = -723 - 234 for h.
-11
Solve -88*x + 109*x - 75*x = -864 for x.
16
Solve 62*t = -60*t - 3*t - 125 for t.
-1
Solve 293 - 35 - 158 = -50*g for g.
-2
Solve -34*w + 4*w = 86 + 274 for w.
-12
Solve 52*f + 29*f = 69*f + 84 for f.
7
Solve 97*y = 68*y + 232 for y.
8
Solve -132*f = 35*f + 1219 + 1620 for f.
-17
Solve -25*d - 2842 + 2692 = 0 for d.
-6
Solve 18*z - 25 + 283 = -30 for z.
-16
Solve 32 + 38 = -8*x - 42 for x.
-14
Solve -43*j = -48*j + 32*j - 135 for j.
5
Solve 5*t - 55 = -32 - 33 for t.
-2
Solve 6 = -698*s + 692*s for s.
-1
Solve -46*d = -860 + 676 for d.
4
Solve 65 = 44*a - 155 for a.
5
Solve -285 = -113*b + 583 - 190 for b.
6
Solve 256*l = 300*l + 88 for l.
-2
Solve -515 + 1041 = 4*t + 474 for t.
13
Solve 62*q + 21*q + 2133 = -154*q for q.
-9
Solve 4*i = 5*i + 6 + 1 for i.
-7
Solve 132*i = -366*i - 5116 - 11318 for i.
-33
Solve -8064 - 6360 = 597*q + 1098 for q.
-26
Solve 11*s - 3*s = -6*s + 14 for s.
1
Solve 34*u - 241*u - 1647 = 342*u for u.
-3
Solve -1147*f - 11515 = -1476*f for f.
35
Solve -2*f + 16*f - 19*f = -5 for f.
1
Solve 637*t + 12524 = 4243 for t.
-13
Solve 429 = 90*m - 257 - 304 for m.
11
Solve -998595*x - 175 = -998588*x for x.
-25
Solve 57*s + 8*s - 208 = -39*s for s.
2
Solve 64*l - 352 = -72*l - 3208 for l.
-21
Solve -114 = 131*u + 51*u + 432 for u.
-3
Solve -y + 65 = -17*y + 11*y for y.
-13
Solve -743*g + 179*g = 4767 + 8205 for g.
-23
Solve 448 - 365 = -279*h - 3544 for h.
-13
Solve -5*o - 4*o - 1 - 89 = 0 for o.
-10
Solve 770 + 658 = 357*w for w.
4
Solve -21*g + 48 = 88 + 170 for g.
-10
Solve 19*i + 109 = 4*i + 49 for i.
-4
Solve -3887*t + 61 = -3922*t + 971 for t.
26
Solve 527*a - 2131 - 1010 = 1602 for a.
9
Solve -16*d = 36*d + 18*d + 420 for d.
-6
Solve -47*j - 679 = -148*j + 1139 for j.
18
Solve -62467*y = -62449*y - 360 for y.
20
Solve 21*l = -226 + 499 for l.
13
Solve 0 = -22*o + 30 - 184 for o.
-7
Solve 0 = 29*g - 15*g - 36 - 48 for g.
6
Solve 0 = -1143*u + 1182*u + 819 for u.
-21
Solve 2*u + 2*u - 8053 + 7929 = 0 for u.
31
Solve 23*b + 3472 - 3612 = -5*b for b.
5
Solve -22*j + 518 = 63*j - 11*j for j.
7
Solve -4540 + 4657 = 13*m for m.
9
Solve 5235*z - 5213*z + 176 = 0 for z.
-8
Solve 323 = 101*u + 245 - 831 for u.
9
Solve -4*p = -15*p + 16*p + 65 for p.
-13
Solve -146 = 48*r - 962 for r.
17
Solve -41*q + 62*q = 126 for q.
6
Solve 35*p - 476 = 51*p - 50*p for p.
14
Solve 3861 = 784*m + 9349 for m.
-7
Solve -842*h - 12249 = 17221 for h.
-35
Solve 8 + 46 = -15*m - 36 for m.
-6
Solve -91*l - 9 = -2*l - 9 for l.
0
Solve 165*w - 155*w = 20 for w.
2
Solve 0 = 836*d - 730 + 8254 for d.
-9
Solve -38 = 702*g - 664*g for g.
-1
Solve 91*k - 434 = 60*k for k.
14
Solve 593*l - 587*l - 60 = 0 for l.
10
Solve 27*o = -156 + 102 for o.
-2
Solve 1478 - 736 = -106*j for j.
-7
Solve 23*r - 7*r - 1302 = -710 for r.
37
Solve 53*h - 73*h + 220 = 0 for h.
11
Solve 912 = -159*l - 284*l - 417 for l.
-3
Solve 8217 = -1520*i + 607*i for i.
-9
Solve -158*c + 409 = 93 for c.
2
Solve -11*i = 53 + 85 - 28 for i.
-10
Solve 571*z = 326*z + 245 for z.
1
Solve -5*p - 8517 = 40*p - 10047 for p.
34
Solve -36*f + 15*f + 189 = 0 for f.
9
Solve 125*h + 52*h + 1239 = 0 for h.
-7
Solve -34*l = -99*l - 130 for l.
-2
Solve 361 - 61 + 2964 = 544*j for j.
6
Solve 26*l - 10*l + 194 = 18 for l.
-11
Solve 0 = -229*l + 93*l - 2992 for l.
-22
Solve 930 + 4397 = -514*f - 5467 for f.
-21
Solve 11*y + 2140 - 2239 = 0 for y.
9
Solve 273*a + 2676 = 496*a for a.
12
Solve 45*r + 38680 - 38119 = 12*r for r.
-17
Solve -90*c - 123 = 607 + 440 for c.
-13
Solve 0 = 47*w - 87*w - 55*w for w.
0
Solve -10*p = -116 - 74 for p.
19
Solve 182*y = 204*y - 198 for y.
9
Solve 0 = 609*q + 548*q - 27768 for q.
24
Solve -100 = 403*n + 3700 + 1842 for n.
-14
Solve -89*s + 108 = -182*s + 111*s for s.
6
Solve 0 = 9*k - 7*k + 39*k - 369 for k.
9
Solve -8*d - d - 506 = 14*d for d.
-22
Solve 3*g + 11 = 47 for g.
12
Solve 0 = -33*n - 14 - 52 for n.
-2
Solve 63*j + 137*j = 332*j - 1848 for j.
14
Solve -2196 = -588*w - 1193 + 4289 for w.
9
Solve 30*v - 10 + 57 = 17 for v.
-1
Solve 791 = -31*y - 3*y - 25 for y.
-24
Solve -71*j = -44*j - 40*j - 221 for j.
-17
Solve 0 = 1233*i - 1203*i + 240 for i.
-8
Solve 801*t + 144 = 789*t for t.
-12
Solve 552*w = -84*w + 1940 + 1876 for w.
6
Solve 63*n + 5*n = 47*n - 147 for n.
-7
Solve 270*h + 339 = 148*h - 217*h for h.
-1
Solve 0 = 156*f + 1973 + 81 - 26 for f.
-13
Solve 176*g + 901 = -23*g + 3488 for g.
13
Solve 128*p - 131*p = -9 for p.
3
Solve -11*k + 5389 - 5422 = 0 for k.
-3
Solve -1798 = -84*z - 220*z + 938 for z.
9
Solve 184*a + 56*a + 2880 = 0 for a.
-12
Solve 121*x - 322 + 269 = -1505 for x.
-12
Solve 1434*z = 709*z + 525*z - 5600 | {
"pile_set_name": "DM Mathematics"
} |
t is the highest common divisor of p and c?
15
Let y(o) = -171*o + 1033. Let b be y(-14). Calculate the highest common divisor of b and 23.
23
Suppose 15 = 5*i, -8*r - 2*i + 6282 = -5*r. What is the highest common divisor of 6 and r?
2
Suppose -30*a = -19*a - 3080. Calculate the highest common divisor of a and 644.
28
Suppose 7*q = 28 + 7. Let f(d) = -d**2 + 10*d + 1. Let j be f(q). What is the highest common divisor of j and 208?
26
Let w(q) be the second derivative of -2*q**3/3 - 3*q**2/2 - 575*q. Let s = 0 - 7. Let l be w(s). What is the greatest common factor of 25 and l?
25
Let a be (3 - 10) + 8 + 55. What is the greatest common factor of 1918 and a?
14
Suppose 2*t - 84*w - 71 = -89*w, 4*t = 4*w + 156. Let l be (-174 - -3)*(-4)/6. What is the highest common divisor of l and t?
38
Let c = 45 - 43. Let u be 18*(c/(-3) + 0). Let o be u/12 - (-25 - 1). What is the greatest common factor of o and 25?
25
Let d be (780/(-80))/((-27)/1224). What is the highest common factor of 416 and d?
26
Let y(z) = -17*z**2 + 156*z + 176. Let k be y(10). What is the highest common divisor of 21474 and k?
18
Let p(u) = -u**2 - 7*u - 20. Let b be p(-8). Let m be (7/(98/(-20)))/(2/b). Calculate the highest common divisor of m and 12.
4
Suppose -8 = -5*u - 4*b, 0 = 3*u - b - b + 4. Suppose 24*o - 28*o + 324 = u. Calculate the greatest common divisor of o and 54.
27
Suppose 3*y = 4*a + 132, -2*a - 16 + 210 = 5*y. What is the greatest common factor of y and 8660?
20
Suppose -2*z = 4, -2*l + 126*z - 121*z = -102. What is the highest common factor of 1127 and l?
23
Suppose 445*g = 451*g - 22800. Calculate the highest common divisor of g and 95.
95
Suppose -606*k + 626*k - 2600 = 0. Suppose 5*r - 2*r + 4*q = 10, -5*r + 45 = q. Calculate the highest common factor of k and r.
10
Let n be (4 - 2) + 56/(0 + -4). Let f be (-3)/(((-2)/3)/(n/(-9))). Let r = -4 + 10. What is the highest common divisor of f and r?
6
Let n(f) = 7*f**2 - 9*f - 11. Let a be n(-3). Suppose 0 = v + v - q - 51, 3*v - a = 4*q. What is the greatest common factor of v and 10?
5
Let d = 3 + 3. Let p(t) = t**2 - 318*t + 17048. Let j be p(68). What is the greatest common divisor of j and d?
6
Let g(i) = i + 33. Let a be g(-13). Suppose -3*z + 228 = 3*y, -18*y - 72 = -z - a*y. Calculate the greatest common factor of 48 and z.
16
Suppose 10*k + n = 12*k - 47, 2*k - 5*n = 67. Calculate the highest common factor of 12747 and k.
21
Let h(a) = -17*a + 57. Let t be h(5). Let y be 112/t - (-26)/2. What is the greatest common divisor of y and 477?
9
Suppose 13*o - 294 = 6*o. Let s be -1*(-4 + (67 - 4)). Let x = -31 - s. Calculate the highest common divisor of o and x.
14
Suppose -2*c = 3*h + 2*c + 6, 3*c = -h - 2. Let r be 2 + 25 - ((4 - 0) + h). What is the highest common divisor of 15 and r?
5
Suppose 48*r = 248 + 371 + 821. Calculate the highest common factor of r and 3090.
30
Suppose 16*t + 2815 = 5*d + 11*t, 5*t - 2261 = -4*d. Calculate the greatest common factor of 84 and d.
12
Let k = -154 - -359. Suppose -26 = -0*t - 2*t - 4*d, 0 = 2*t - d - 6. What is the highest common divisor of t and k?
5
Suppose l - 4*l - i = -507, -l + 159 = -3*i. Let k be (-69)/(-1) - ((-12)/(-3) - -2). What is the highest common divisor of k and l?
21
Suppose 5 = 4*c - 11. Suppose 0 = -4*n - 3*z + 3 + 3, -8 = -4*n - c*z. Let h(b) = -b + 104. Let g be h(n). Calculate the greatest common factor of g and 13.
13
Let d(g) = 4*g**3 + 2*g**2 + 7*g - 3. Let n be d(6). Let v = 553 + -514. Calculate the greatest common divisor of n and v.
39
Suppose -3*u + 4*n + 644 = 0, 2*u - 2*n + 650 = 5*u. Suppose -8 = 8*h - u. What is the greatest common factor of h and 2?
2
Suppose -10*c + 11*c - 3*w = 86, c - 92 = 4*w. What is the highest common factor of c and 40324?
68
Let d(g) = -g**3 - 44*g**2 - 96*g - 354. Let v be d(-42). Calculate the highest common factor of v and 775.
25
Suppose 0 = -9*g - 22*g - 4185. Let r be (-14 + 12)*g/2. Suppose 0 = -o + 6*o - 270. What is the greatest common factor of r and o?
27
Let l(p) be the second derivative of -1/2*p**3 + 24*p**2 + 0 + 42*p. Let r be l(15). Calculate the highest common divisor of r and 27.
3
Suppose 0 = -2*i + 68 + 12. Let l = i - 35. Suppose 16 = l*q - 3*q. Calculate the highest common factor of 8 and q.
8
Let l(q) = 2*q**3 + 7*q**2 + 7*q - 2. Let p be l(-2). Let d be 45/(7 - 4) + p. What is the highest common factor of 3 and d?
1
Let f(c) = -c**2 + 30*c - 76. Let i be f(27). Suppose -i*h + 11*h - 3042 = 0. Calculate the highest common factor of 39 and h.
39
Let y(v) = -15*v - 251. Let i be y(-17). Let w = 5 + -1. Suppose -i*b - w*m + 44 = 0, 4*m + 4 = -b + 6*m. Calculate the greatest common factor of 6 and b.
6
Suppose -26*m - 12*m = -8*m - 16860. What is the greatest common divisor of m and 4777?
281
Let r(f) = -18*f**2 + 222*f + 14. Let o(j) = -17*j**2 + 221*j + 15. Let z(x) = 2*o(x) - 3*r(x). Let a be z(12). What is the greatest common factor of 40 and a?
20
Let y be (65*-2 + -3)*(-198)/231. What is the highest common divisor of 950 and y?
38
Let d = 68 - 46. Let b(o) = -o**2 - 206*o + 6925. Let w be b(29). Calculate the greatest common factor of w and d.
22
Let a be (-60)/(110/(-11)) + (-15)/((-30)/304). What is the highest common factor of a and 6478?
158
Let v be (-3 - -11) + (-10 - -2). Suppose -5*j + 83 = 3*w - 117, v = 4*j - w - 160. What is the highest common factor of 50 and j?
10
Let f be 3/((5/(-5) - 0)/(-103)). Suppose -5*i = 2*k - f, -5*i - 240 = -9*i - 4*k. Calculate the greatest common factor of i and 21.
21
Suppose 0 = 5*z - 10, -7*f + 5*f + 2*z = -22. Let w(j) = 42 + 2 - 28*j + 14*j + 13*j. Let r be w(f). What is the greatest common factor of r and 31?
31
Let u = -7 - 6. Let j = -3 - u. Let n = -604 - -704. Calculate the greatest common factor of n and j.
10
Suppose 4*i - 21 = -3*i. Let a be (-10)/6 - (1 - 2/i). Let f be (20/14)/(a - 60/(-28)). What is the greatest common divisor of f and 10?
10
Suppose -9*n + 272 = 8*n. Suppose 46 = 5*w + n. What is the greatest common divisor of 168 and w?
6
Let v(i) be the first derivative of i**3/3 + 5*i**2 + 21*i - 79. Let u be v(0). What is the highest common divisor of u and 1029?
21
Let m(z) = 3*z**3 + 23*z**2 - 86*z + 571. Let d be m(7). What is the greatest common divisor of d and 75?
25
Let t(l) = 21*l + 1445. Let y be t(-65). Calculate the highest common factor of 5360 and y.
80
Let d(t) = -t + 80. Let a be d(0). Suppose 102*n - 103*n = -a. What is the highest common factor of n and 5?
5
Suppose -23 = -5*w + 2. Suppose 5*q = q - 4*n + 16, 0 = w*q - 2*n - 48. Let g be 2/q - 42/(-56). What is the highest common factor of g and 1?
1
Let a be (-4 + (0 - -6))*(131 + -1). What is the highest common factor of a and 884?
52
Let g(y) = 33*y + 11. Let t be g(8). What is the greatest common factor of 880 and t?
55
Let y(l) = -l**3 - 10*l**2 - 3*l + 14. Let t = 291 + -302. Let o be y(t). What is the greatest common divisor of o and 48?
24
Let v(t) = -t**3 - 49*t**2 - 47*t + 169. Let b be v(-48). Let y(f) = f**2 - 5. Let x be y(-4). What is the greatest common factor of x and b?
11
Let n(r) = r**2 + 3*r - 8. Let q be n(-6). Suppose 5*i - 5*o = 425, 120 = -2*i + 3*o + 295. Calculate the highest common factor of q and i.
10
Let w = -374 - -65. Let t = -290 - w. Calculate the greatest common divisor of t and 247.
19
Suppose -4*i - 12 = -7*i, 21 = -n + 4*i. Let h be 6/n*20/3*-3. Calculate the highest common divisor of 216 and h.
24
Suppose -666 - 2610 = -j. Suppose 69*n - 78*n + j = 0. What is the greatest common factor of 28 and n?
28
Let f be -1795*(7/14 + ((-90)/12 - -6)). Calculate the highest common factor of f and 15.
5
Suppose -t = -5*u + 21 - 3, -2*t - 8 = -3*u. Suppose 177 = 3*i + 3*x + x, x = -t*i + 123. What is the greatest common divisor of i and 54?
9
Suppose -4*u - 3*x = -12632, -904*u - x = -905*u + 3151. What is the greatest common divisor of 15 and u?
5
Let s = -12580 - -12595. What is the highest common divisor of 4395 and s?
15
Let g be (855/38)/((-3)/(-26)). Suppose -4*n = -y + 317, -y + 5*n = -3*y + 660. Calculate the highest common factor of y and g.
65
Let l(i) = 8*i**2 + i + 2. Let w be l(8). Let o be ((-140)/(-84))/(663/162 + -4). What is the highest common divisor of w and o?
18
Let q = -18311 + 18677. Calculate the h | {
"pile_set_name": "DM Mathematics"
} |
f - 2*f + f)*(-17*f + 6*f - 2 - 3*f) to r*f**2 + n*f + t and give t.
0
Rearrange -16 + 32*i**3 + 16 - 30*i**3 - 6*i**2 + 4*i to a*i**2 + b*i + o + c*i**3 and give o.
0
Express (-2*r + 3*r + r)*(0 - 3 + 2)*(r + 0 + 0 + (r - 3*r + 0*r)*(2 + 1 - 2) - 68*r + 28 - 28) as f + b*r**2 + d*r and give b.
138
Express 0 - 2*d**2 + 0 + (-d - 2 + 2)*(2 - 15*d + 8*d + 9*d) in the form f + l*d + u*d**2 and give u.
-4
Express (4*v - 4*v - v)*(-v**3 - 5*v**3 - v**3) as r + x*v**2 + l*v**3 + u*v**4 + p*v and give p.
0
Rearrange -t - 13*t**2 - 33 - t**3 + 31 + 2*t**4 - t to y*t**3 + p + f*t**4 + z*t + n*t**2 and give y.
-1
Express 3*k**4 + 0*k**4 - 2*k**4 + (-3*k + 2*k + 2*k)*(-5 + 2*k**3 + 5) in the form r + z*k**3 + a*k**4 + f*k + l*k**2 and give a.
3
Rearrange ((2 - 2 + q)*(0 - 1 + 6) + 2 - q - 2)*(-1 - 2*q + 1 + q - 3*q + 3*q + (4*q - 6*q + q)*(-2 + 2 + 2)) to the form u + d*q**2 + k*q and give d.
-12
Rearrange 2*r + 14 - 3*r**3 - 5 - 3 + 0*r**3 to u*r + h*r**2 + o + g*r**3 and give g.
-3
Express 0*l**2 + l**3 - 2*l**3 - 2*l - l**2 in the form j*l**3 + o + s*l + y*l**2 and give j.
-1
Rearrange 0*u - 54*u**2 + 68*u**2 + u to j + y*u**2 + s*u and give y.
14
Express 2*t - 2 + 2 + 2 - 2*t - 2 - 2*t + 6*t - 2*t + (0 + 2 - 3)*(t + t - 3*t) + 4*t - t - 2*t + 11*t + 12*t - 9*t as i*t + l and give i.
18
Rearrange 25*t**4 + 2*t + 3*t**2 + t**3 - 4*t - 2 - 24*t**4 to z + h*t**2 + k*t**4 + n*t + v*t**3 and give h.
3
Rearrange -2*b**3 + 9*b**2 - 7*b**2 - 3*b**2 to the form z*b + c + t*b**3 + r*b**2 and give t.
-2
Rearrange 2*g + 2*g**2 - 2*g**3 - 3 - 5*g**2 + 3*g**3 + g**3 to m + x*g + l*g**3 + w*g**2 and give m.
-3
Rearrange 0 + 2*p**2 - 2*p - 1 - 436*p**4 + 442*p**4 to l*p**2 + f*p + z + c*p**4 + t*p**3 and give l.
2
Rearrange 170 - 19*i - 170 to the form u + n*i and give n.
-19
Rearrange (-4*b + 4*b + 3*b**3)*(5*b + 8*b - 6*b) + (2 + 2 - 6)*(-b**4 - 4*b + 4*b) to s*b**3 + m*b + u*b**2 + c + a*b**4 and give a.
23
Express 8 + 38*r + 2*r**3 + 8*r - r**3 + 2*r**2 - 6 as x*r + g + f*r**3 + s*r**2 and give g.
2
Rearrange 19*v + 4*v**4 - 20*v - 2 + 0*v**3 + v**3 + v**2 - v**4 to h + x*v**2 + c*v**3 + d*v + q*v**4 and give c.
1
Express (-27 + 9 - 7)*(-2 + 0 + 9*i - 11*i) in the form y*i + d and give d.
50
Rearrange (-6*a**3 + a**3 - 27*a**3)*(3 - 3 + 1)*(-6 - 1 + 5) to the form j*a + r*a**2 + z*a**3 + v and give z.
64
Rearrange 2 - 2 + 3*y to the form j + w*y and give w.
3
Rearrange (2*v - 7 + 7)*(-29 - 14 + 3) to the form l + o*v and give o.
-80
Rearrange -3*q + 0*q + 12*q - 3*q to a + p*q and give p.
6
Express -1 - 2*p + 0 - 3 + 2*p**4 in the form v*p**4 + h*p**2 + g + w*p + b*p**3 and give w.
-2
Rearrange n**2 + 2*n**2 - n**2 + (-4*n - 4*n + 4*n)*(0*n + 2*n + 0*n) - 4*n**2 + 5*n**2 - 4*n**2 to the form l + c*n + m*n**2 and give c.
0
Express 266*y + 3 - 3 - 308*y as i*y + h and give i.
-42
Rearrange 2 - 3 - 8 - 1 + 3*r**2 to the form q*r + n*r**2 + y and give y.
-10
Express -a**3 + 4*a - 12 + 2*a**4 + 4 + 7 + 0*a + 4*a**2 in the form l*a**3 + g*a**2 + n*a + j*a**4 + t and give l.
-1
Express 39*c**2 + 1185*c - 1185*c as i*c + s*c**2 + g and give s.
39
Express -36*a + 38*a - 5*a**2 - 8*a**2 as w*a**2 + c*a + f and give f.
0
Express -9*i**3 + i**4 + 3*i**2 - 2*i**3 - 3*i**4 - 2 + 9*i**3 + 5*i as o*i + c*i**3 + l*i**4 + m*i**2 + g and give g.
-2
Rearrange 4*i**3 - 3*i**3 - 2*i**3 + (i**3 - 3*i + 3*i)*(-46 + 24 + 25) to the form m + s*i**3 + a*i + n*i**2 and give s.
2
Rearrange -3*y**3 + 2*y**3 + 3*y**3 + (1 - 2*y**2 - 1)*(-4*y + 6*y - 3*y) + (0 + y + 0)*(-y + y**2 + y) to o*y**3 + d*y**2 + g + l*y and give o.
5
Express (2*a - a - 2*a)*(3*a**2 - 2*a**2 + 2*a**2) - a**3 + 4*a**3 - 4*a**3 in the form t + x*a + q*a**3 + i*a**2 and give q.
-4
Express (2*i**2 - 4*i**2 + 0*i**2)*(-57*i - 9*i + 3*i) in the form y*i + x*i**2 + l + u*i**3 and give u.
126
Express ((-4 + 0 + 2)*(1 + 2 - 2) - 11 + 11 - 10)*(0 + 0 + 2*z) as j*z + p and give j.
-24
Rearrange (-1 - 5*v + 1)*(0*v - 3*v + 0*v - 2)*(2 + 2*v - 2) to i + o*v + f*v**2 + j*v**3 and give j.
30
Rearrange 3*j**2 - 6*j - j - 3*j - j**2 to the form x + b*j**2 + c*j and give b.
2
Express (5 - 4 - 3)*(2 - 4 + 0)*(4*y + 0 + 0) + (-1 + 1 + 2*y)*(1 + 2 - 4) as w*y + q and give w.
14
Rearrange (-230*y**2 + 230*y**2 - 26*y**3)*(y - 2*y - y - y + 7*y - 2*y + (4 - 4 - 2*y)*(0 - 1 - 1)) to the form a*y**2 + m*y**3 + o*y**4 + q + j*y and give o.
-156
Rearrange -3*x**2 - 8*x**2 + 4*x**2 to t*x + n + r*x**2 and give r.
-7
Rearrange 8*o - 5*o + 0*o + 30*o to the form s*o + b and give s.
33
Rearrange -4 - 8*k + 6 + k**3 - 2 to the form v*k**3 + z*k**2 + h + c*k and give c.
-8
Rearrange -2*l - 3*l**3 + 4*l**3 + 21*l**2 + 2*l to the form j*l + y*l**3 + w*l**2 + i and give y.
1
Express (-81 - 13 + 20)*(-1 + 1 - 2)*(-4*d + 3*d - d) in the form b*d + p and give b.
-296
Express (4*v + 9 - 9)*(2*v**3 - v**3 + 0*v**3) + 0 + v**4 + 0 as t*v**2 + f*v**3 + c + y*v + x*v**4 and give x.
5
Express (37*t + 27*t - 2*t)*(4 - 1 - 2) as g + s*t and give s.
62
Express -2 + 2 - u**2 - 5*u + 2 - 4*u**2 as s*u**2 + k + l*u and give k.
2
Express 2*o**2 - 4*o**2 + 9*o + 23 - 9*o as x*o + c + p*o**2 and give c.
23
Express 2 - 2*f - 2 + (0 + 0 - 3*f)*(0 + 0 - 1) + (-f + 2*f + 3*f)*(-2 + 3 - 3) in the form r + u*f and give u.
-7
Express -2*z - 8*z - 4*z + 0*z as t + i*z and give i.
-14
Rearrange (-3*d**3 + 2*d**3 + 2*d**3)*(231 - 30*d - 231) to the form p*d + u*d**3 + s + y*d**4 + f*d**2 and give y.
-30
Express -17*g - 1 + 4 - 3 in the form m*g + w and give m.
-17
Rearrange (-2*l + 2*l - l)*(5 - 3 - 1) - l - 2*l + 0*l + (-3 + 2 + 3)*(1 - 1 - l) + 4*l - 6*l - l to v*l + s and give s.
0
Express (-1 + 0 + 3)*(3 - 2 - 2)*(-3 + 2 + 2)*(-3020 + 3020 + 82*l**3) in the form g*l + r + y*l**3 + h*l**2 and give y.
-164
Rearrange (0 + 3 + 0)*(-2 + 1 + 0)*(4 - 1 - 2)*(12*o + 11*o - 7*o) to the form b*o + u and give b.
-48
Express -a + 5*a - 2*a - 3*a + 5*a - a + (-4 + 4*a + 4)*(1 + 0 + 1) - 2*a + a - a - 2*a + 6*a - 2*a as i + o*a and give o.
11
Express 3*w + 0*w - 3*w + 5*w in the form v + q*w and give q.
5
Express -7*y + 27 - 27 - 9*y in the form h + i*y and give i.
-16
Express -5*w**4 + 7*w**4 - 33*w**3 + 19*w**3 + 16*w**3 - w - 12*w**2 as c*w**4 + b*w + r + d*w**3 + q*w**2 and give q.
-12
Express (-3*f + 3*f + f)*(0*f**2 - 5*f**2 + 0*f**2) + (-2*f - 3 + 3)*(-7*f**2 - 2*f**2 - f**2) as q + i*f**3 + m*f + a*f**2 and give m.
0
Express w**2 - 16*w**2 - 5*w + 5*w as i + l*w**2 + h*w and give i.
0
Express t + 2*t**3 + 4*t**2 - 6*t**2 + 2*t + 16*t in the form f*t**3 + s*t**2 + q*t + b and give s.
-2
Express (-2*i + 2*i - 2*i)*(4*i - 4*i - 2*i) - 1360*i - 235*i**2 + 1360*i in the form g + d*i**2 + f*i and give d.
-231
Rearrange -2*p**2 + 3 + 33*p + 2*p**3 - 68*p - 1 + 28*p to w + a*p**3 + h*p**2 + t*p and give h.
-2
Rearrange -6*a**2 + a**4 + 0*a + 4 + 2*a**3 + 5*a + 13*a**2 - 6*a**2 to the form p + v*a + d*a**3 + i*a**4 + r*a**2 and give v.
5
Rearrange (4 + 6 - 3)*(9*x - x + 2 - 3*x) to the form b*x + l and give l.
14
Express -2*h**2 + 127 - 39 + 0*h**2 - 62 as i + q*h + m*h**2 and give m.
-2
Express -2*b + 11*b**2 + 7*b**2 + 2*b in the form q + k*b**2 + r*b and give k.
18
Rearrange (-40 - 11 + 11)*(3*k - 5*k + 0*k)*(3*k - 3*k - k) to the form b + u*k + o*k**2 and give o.
-80
Rearrange -2*x + 9*x - x + (0*x + x + 0*x)*(-2 + 1 + 3) to j*x + i and give j.
8
Rearrange 3*u**4 + 0*u**4 - 4*u**4 + (-4 + 1 - 4)*(-1 + 4 - 5)*(-2*u**4 + u**3 - u**3) to n*u**3 + m*u**2 + f + y*u**4 + v*u and give y.
-29
Rearrange 2*f**3 - f**3 + 2*f - 65*f**2 + 67*f**2 - 3*f**3 to h*f**3 + x*f + i + s*f**2 and give h.
-2
Express -5*g - 23*g + 3*g as w + n*g and give n.
-25
Express 23*y + 19*y + 78*y as f*y + s and give f.
120
Express 1 + 0*w**3 - 2*w**2 - 2*w**4 + 0*w**2 + 1 + 3*w**3 + 8*w in the form a + h*w + r*w**4 + v*w**2 + p*w**3 and give v.
-2
Express -5*j**4 - j**4 + 4*j**4 + (-2*j + 2*j + 9*j)*(3*j - 4*j + 3*j)*(j**2 - 1 + 1) as p + h*j**3 + r*j**4 + m*j + v*j**2 and give m.
0
Rearrange 4 - 7*y**3 - 5*y**3 - 2 + 4*y**3 to k*y + i + w*y**2 + j*y**3 and give j.
-8
Rearrange g**2 - 11*g**2 + 7*g**2 + (5*g - 2*g - g)*(4*g - 2*g - 3*g) to b + s*g**2 + y*g and give s.
-5
Rearrange -4*n + 4*n + 12*n to u + m*n and give m.
12
Rearrange -2*r**2 + r**3 - 3*r**3 + 0 + 4 to n + p*r + f*r**2 + y*r**3 and give n.
4
Rearrang | {
"pile_set_name": "DM Mathematics"
} |
value? (a) 0.05 (b) -1 (c) p
a
Let r be (2/6)/((-1)/2). Let u be (-2)/10 - (-44)/70. Let m = -0.46 - -0.4. What is the second biggest value in r, u, m?
m
Let f = -54 + 54.2. Let s = -0.5 + 0.1. Which is the second biggest value? (a) f (b) s (c) -5
b
Let l = -4.25 - -8.25. Which is the smallest value? (a) 1 (b) -1/4 (c) -5 (d) l
c
Let x = 167 + -166.6. Which is the second biggest value? (a) 1/27 (b) x (c) -4
a
Let g = 487 + -480. Which is the smallest value? (a) 11 (b) g (c) 4
c
Let g = 936 + -929. What is the third biggest value in 1, g, -0.7?
-0.7
Let v = -1656 + 1652. Which is the smallest value? (a) 14 (b) v (c) -0.3 (d) 0.1
b
Let s = 1111 + -900. Which is the second smallest value? (a) -2/3 (b) s (c) 5
c
Let u be (4/(-10))/((-38)/(-10)). What is the second smallest value in 0.5, -1, u, 4/9?
u
Let y = 45 - 36. Let s = 0.6 - 0.4. Which is the biggest value? (a) 3 (b) y (c) s
b
Let g = -0.4 + 41.4. Let i = g - 46. Which is the third biggest value? (a) -2/5 (b) 5 (c) i
c
Let j = -0.7 - -0.58. Let r = -5.02 + 5. Let l = j - r. Which is the third biggest value? (a) -1/4 (b) l (c) 0.4
a
Let d be (-4)/(-12) - 10/3. What is the fourth biggest value in 0.1, 3, d, -0.5?
d
Let r be 50/18 - (-1 + 4). Let b(s) = s**2 + 5*s + 1. Let k be b(-4). What is the second smallest value in 12, k, r?
r
Let u be 3 + (6/28)/((-8)/96). What is the third smallest value in u, 5, -18?
5
Suppose 3*p - 20 = 232. Which is the third biggest value? (a) -0.1 (b) 1 (c) -1 (d) p
a
Let h(n) = -2*n**3 + 6*n**2 + 4*n + 1. Let d be h(5). Let k = -76 - d. What is the third smallest value in -1, 4, k?
4
Let k = -561 + 560. What is the third biggest value in 7, 4, k?
k
Let q = -56.5 - -56.4. What is the third biggest value in 9, -3, q?
-3
Let f = 2.13 + -2.13. What is the second smallest value in 0.1, 1/7, f, -0.5?
f
Let w = -0.0463 - 3.9537. Let u = -144/455 - -2/65. What is the biggest value in -4/7, u, w?
u
Let b = -677.7 + 677.71. Let s = 2 + -7. What is the second biggest value in -3, s, b?
-3
Let n = 0.217 - 0.017. Let r be -5 + 8 + 12/(-2). Which is the fourth smallest value? (a) 0.03 (b) n (c) r (d) 1/4
d
Let i = 181 + -185. Which is the biggest value? (a) i (b) 4/7 (c) 30
c
Let m = 0.741 + 0.259. Which is the third smallest value? (a) -1 (b) 0 (c) -3 (d) m
b
Let l = 4 - 3. Let s be 5 + (0 - 1)/l. Let b be 1/(-2)*1/3*0. What is the second biggest value in b, 0.1, s?
0.1
Let x = -2.1 + 3. Suppose -1 = 26*h - 25*h. Which is the second biggest value? (a) x (b) h (c) -3
b
Let v = 0.33 - 36.33. Suppose -133 + 97 = 12*g. Which is the biggest value? (a) v (b) 0 (c) 2 (d) g
c
Let j = 180.7 + -221.7. What is the third smallest value in -2, 3/5, -4, j?
-2
Let v = -148/15 - -29/3. Suppose -3*n - 3 = -9. Which is the biggest value? (a) n (b) v (c) -0.1
a
Let w be (-40)/(-21) + (-684)/513. Which is the third biggest value? (a) -2/15 (b) 1/7 (c) -516 (d) w
a
Let w = -41.4 - -41.5. What is the second biggest value in -83, 5, 2, w?
2
Let i = 885 + -4423/5. Which is the third smallest value? (a) 1/9 (b) i (c) 8 (d) -5/3
b
Let l be 5/((-12)/8*40/(-24)). Which is the smallest value? (a) 9/5 (b) 4 (c) -3/4 (d) l
c
Let d = -1.7 + 1.87. Let s = d - -2.83. Let y = 7 - 8. Which is the biggest value? (a) -2/13 (b) s (c) y
b
Let w = 2702 - 2696. Let n be -3*(2 + 2/(-3)). What is the third smallest value in 0.2, n, w?
w
Let s = 0.36 - 2.36. Let h = 0.4 - -1.6. Let z = 0.6 - 0.2. Which is the smallest value? (a) h (b) z (c) s
c
Let s = 0.0094 + 0.3906. What is the third biggest value in -1, 119, 3/5, s?
s
Let o be (-16)/(-16)*(3 + -1). Let y be o/(-12) - (-333)/54. Suppose y*w + 12 = 9*w. What is the third smallest value in -1, -2/5, w?
w
Let z = -0.99 - 2.01. Which is the second biggest value? (a) z (b) -4 (c) 0.14
a
Let j = -823/5 + 165. What is the biggest value in -2/3, -5, j, 0.2?
j
Let g = 2 + 3. Let x = 4.8 - g. Let w = -11.1 + 11.4. Which is the third biggest value? (a) w (b) x (c) -5
c
Let x = 0.154 - 101.154. Let h = -100.6 - x. What is the biggest value in 1/4, h, 0?
h
Let r = -4.807 + 4.8. Let f = r + 0.207. Let i = 1.4 + -0.4. Which is the biggest value? (a) f (b) -0.8 (c) i
c
Let b be 724/18 - 4/18. Let j be ((-6)/4)/(50/b). What is the second smallest value in j, 5, -1?
-1
Let v = 446580/466831 + -2/20297. Let i = 196/253 - v. Let s = 2 - 1. What is the third biggest value in -3/7, s, i?
-3/7
Let n = 525 + -523. Which is the second biggest value? (a) -2/5 (b) n (c) -7/5
a
Let s = 122 + -158. Let k = -39 - s. Which is the third smallest value? (a) -1 (b) 1/5 (c) k (d) -0.5
d
Let q = -41.807 + 0.207. Let p = 37 + q. Let x = p + 5. Which is the smallest value? (a) x (b) -5/3 (c) 2
b
Let c = 2 - 5. Let x = -2013 + 2013.3. What is the third biggest value in x, 1.8, c?
c
Let l = 413 + -433. Let h = 14.93 + 0.07. Let j = l + h. What is the smallest value in -3, j, -1?
j
Let d = 37 - 15. Let o = -21 + d. What is the smallest value in 0, 1/2, 2/3, o?
0
Suppose -4*t - 15 = -5*v - 2, -5*v - t = -28. Which is the second biggest value? (a) 1/12 (b) -4/3 (c) v
a
Let d = 0.29 + 0.71. What is the fourth smallest value in 3, d, -5, -23?
3
Let a = -404 + 406. What is the third smallest value in 4, 1, -6, a?
a
Let t = 19109 - 95998/5. Let k = t - -91. Which is the third smallest value? (a) 3 (b) 0.7 (c) k
a
Let f = -600 + 597. What is the third biggest value in 0.4, f, -7/3, -0.01?
-7/3
Let v be (-2)/12 + 507/18 + -8. Suppose 0 = -4*y + 2*f + 18, -4*y = -4*f - f - 33. What is the third biggest value in y, 0, 0.3, v?
0.3
Let v = -97 - -101.9. Let h = -5 + v. Let p = 9.4 + -7.4. What is the biggest value in h, -1/2, p?
p
Let y = 5178 - 5174. Let q = -2 + 0. Let h = -1 - q. Which is the second biggest value? (a) 2 (b) y (c) h
a
Suppose 0 = -6*u + 2938 - 3076. What is the biggest value in u, 5/4, 1/9?
5/4
Let v = -0.359 - -0.159. Which is the second biggest value? (a) 38 (b) v (c) 2 (d) 4
d
Let t = 1.7 + -0.7. Let y = 2.01 + -0.01. Let m = -2 - y. What is the third smallest value in m, -0.3, t?
t
Let y = -0.028 - 1.972. Let u = -1.4 - -1. What is the third smallest value in -1, y, u?
u
Let p be (1/2)/((-9)/54). Which is the fourth smallest value? (a) 2/9 (b) p (c) -0.5 (d) 2/7
d
Let s be 2/4*(8 + -4). Let i = 8.5 - 9. Which is the third biggest value? (a) s (b) i (c) 4/3
b
Let u = 0.5 - -2.5. Let j be 3*(-8)/(144/30). Which is the fourth smallest value? (a) 4/5 (b) u (c) j (d) 0.5
b
Let k = -32 + 97/3. Let d = 205 - 140. Let i = -65.4 + d. What is the third smallest value in 2/19, k, i?
k
Let z(n) = n - 13 + 4 + 3 + 11. Let f be z(-4). Which is the fourth biggest value? (a) 5 (b) -0.1 (c) -3 (d) f
c
Let n be (-36)/96 - (-474)/(-16). Let k = n - -29. What is the second smallest value in 2/7, 0, k, -3?
k
Let b(w) = w**2 + w + 1. Let j be b(0). Let d = 5.948 - 10.909. Let x = 0.039 - d. What is the second biggest value in -4, x, j?
j
Let r = -2147/9 + 239. Suppose 17 + 16 = -3*g - 3*h, -3*h - 42 = 4*g. Let v be g/6 - (-2)/4. Which is the third smallest value? (a) v (b) r (c) 1/2
c
Let j = 203.3 - 203. What is the fourth biggest value in 0.08, j, 0.1, 0.4?
0.08
Let s = 0.15 + 0.09. Let y = s + 0.26. Let j = 10 - 9. Which is the smallest value? (a) 5 (b) j (c) y
c
Let m = 16263/5 - 3268. Let g = m + 251/15. Let i be (-7 - -3 - -3)*(-2 - -3). Which is the smallest value? (a) g (b) i (c) 0.3
b
Suppose 17*p - 7 = 16*p. Let g be 24/p - (-2 - -6). Let s = 0.07 - 0.27. Which is the third biggest value? (a) g (b) -4 (c) s
b
Let v = -13/67 - -227/134. Which is the third smallest value? (a) v (b) -14 (c) -4 (d) 2
a
Let l be 1 + 16/(-20) - (-115)/(-200). Let v = 3 - 6. What is the smallest value in 0.2, v, l, 1/6?
v
Let r be 2/(-7) - (-4)/14. Let g be 12/(-2) + 3 + 1. Let z be 5/(-10) - 9/g. What is the smallest value in r, z, 1?
r
Suppose -5*h = -i + 1256, 4*i = -h - 25 - 222. Let b = h + 254. Let s = -0.4 - -0.2. What is the second smallest value in b, -2, s?
s
Let t = 30 - 0. Let n = 37 - t. Let d = 5/18 + -1/36. What is the second biggest value in -0.1, n, d?
d
Let y = 3.5 - -2.5. Let n = y - 5.8. What is the second biggest value in 5, 1, n?
1
Let h = 7 - 4. Let u = -137 - -136.52. | {
"pile_set_name": "DM Mathematics"
} |
number?
False
Is 7508341 a composite number?
False
Is 20756447 a prime number?
True
Is 5472043 prime?
False
Is 14391269 prime?
True
Is 32415857 a prime number?
True
Is 41523553 a composite number?
False
Is 3393509 prime?
False
Is 837191 a composite number?
False
Is 11007559 a prime number?
False
Is 70331763 a prime number?
False
Is 124193099 composite?
True
Is 13162411 prime?
False
Is 44121149 a prime number?
True
Is 1305805537 a composite number?
True
Is 38465902 a composite number?
True
Is 16073173 a composite number?
False
Is 68154677 composite?
True
Is 4431685 a composite number?
True
Is 40901755 a prime number?
False
Is 78936427 a composite number?
False
Is 231587273 prime?
False
Is 1284097 a prime number?
False
Is 18814331 composite?
False
Is 901289 a prime number?
False
Is 16274809 composite?
True
Is 490118459 composite?
True
Is 26031997 a prime number?
True
Is 3041581 a composite number?
False
Is 81511 a prime number?
False
Is 82001167 composite?
False
Is 8101567 a prime number?
True
Is 63195189 a prime number?
False
Is 122087417 composite?
False
Is 37410467 composite?
False
Is 15345919 prime?
True
Is 30253259 prime?
True
Is 4369649 composite?
False
Is 1540993 a composite number?
True
Is 2000483 a prime number?
False
Is 18613 a prime number?
False
Is 101934389 a prime number?
True
Is 94815551 prime?
False
Is 576649033 composite?
True
Is 4483901 a prime number?
True
Is 10154395 composite?
True
Is 40445059 prime?
False
Is 5259557 composite?
True
Is 51136445 composite?
True
Is 1202807 a prime number?
True
Is 1440449 a composite number?
False
Is 55833621 a prime number?
False
Is 32398285 prime?
False
Is 17732135 prime?
False
Is 9304634 prime?
False
Is 14029117 a prime number?
True
Is 26583191 prime?
True
Is 41743355 prime?
False
Is 4258 a composite number?
True
Is 57398189 a composite number?
False
Is 101035547 composite?
False
Is 2486051 prime?
False
Is 17673113 a prime number?
False
Is 6104533 a composite number?
False
Is 3782291 prime?
False
Is 15666151 a composite number?
True
Is 80935922 prime?
False
Is 7356317 prime?
False
Is 38313511 a prime number?
False
Is 65097139 prime?
True
Is 945289 prime?
True
Is 822649 a prime number?
False
Is 280101538 a prime number?
False
Is 100996691 prime?
False
Is 80634989 prime?
True
Is 730111 a composite number?
False
Is 779971 prime?
True
Is 24656609 prime?
True
Is 1887079 prime?
True
Is 19761671 prime?
True
Is 46668549 prime?
False
Is 12435771 composite?
True
Is 1190417 a composite number?
False
Is 141097757 a composite number?
True
Is 1424827 a prime number?
False
Is 744801 prime?
False
Is 390763789 a composite number?
True
Is 915961 prime?
True
Is 1567113 prime?
False
Is 611283 a composite number?
True
Is 23146811 a prime number?
True
Is 50462121 composite?
True
Is 8706869 prime?
True
Is 7043669 composite?
False
Is 13332439 prime?
True
Is 2492657 prime?
True
Is 701447 a prime number?
True
Is 27385489 a composite number?
True
Is 31002737 a composite number?
True
Is 4996429 a prime number?
False
Is 2391239 a prime number?
True
Is 43931803 a prime number?
True
Is 44174719 a prime number?
True
Is 84733 composite?
True
Is 15375841 composite?
True
Is 3994351 a prime number?
False
Is 30239641 a prime number?
False
Is 289637 prime?
True
Is 12918421 prime?
True
Is 3153401 a prime number?
True
Is 6006029 prime?
True
Is 8865793 composite?
True
Is 27871133 a composite number?
False
Is 119963 prime?
True
Is 20834981 a composite number?
False
Is 11123131 a composite number?
True
Is 96305381 a composite number?
False
Is 285853 a composite number?
True
Is 14243 a prime number?
True
Is 1997257 a prime number?
True
Is 10941719 prime?
True
Is 55263799 a prime number?
False
Is 2122921 composite?
False
Is 248519539 composite?
True
Is 114241771 prime?
False
Is 124351177 a prime number?
True
Is 2582311 a composite number?
False
Is 247616081 a prime number?
True
Is 1517983 a prime number?
True
Is 93241973 prime?
False
Is 1878181 composite?
False
Is 291347759 prime?
True
Is 554469 a prime number?
False
Is 35575219 prime?
True
Is 286095671 a composite number?
False
Is 2839381 a composite number?
False
Is 3457781 composite?
True
Is 241416821 composite?
False
Is 68793979 prime?
False
Is 6765247 a composite number?
True
Is 1162441 a prime number?
False
Is 3472057 a prime number?
False
Is 6272047 prime?
False
Is 29487179 a prime number?
True
Is 775963 composite?
False
Is 136691 prime?
True
Is 41923985 composite?
True
Is 83097962 prime?
False
Is 31525841 a prime number?
True
Is 3130081 a prime number?
False
Is 23666317 prime?
True
Is 3528853 a prime number?
True
Is 30515557 prime?
True
Is 30803681 a prime number?
False
Is 1959473 a prime number?
True
Is 765707 a prime number?
True
Is 11198183 a prime number?
True
Is 242923019 composite?
True
Is 18183677 prime?
True
Is 17108617 prime?
True
Is 4496533 prime?
True
Is 236111429 a prime number?
False
Is 3606657 prime?
False
Is 46561213 a prime number?
True
Is 161001707 a composite number?
True
Is 84679303 a composite number?
False
Is 107787997 a composite number?
False
Is 9090815 a composite number?
True
Is 229809863 prime?
False
Is 8984314 prime?
False
Is 61333999 a composite number?
False
Is 2840018 composite?
True
Is 17797771 composite?
True
Is 276943 composite?
True
Is 16140209 a composite number?
False
Is 17222599 composite?
True
Is 129970223 a prime number?
False
Is 11145137 prime?
True
Is 4034609 prime?
False
Is 2500807 composite?
False
Is 297216541 prime?
False
Is 335160589 a composite number?
True
Is 520661 a composite number?
True
Is 20685307 prime?
True
Is 23618107 a prime number?
False
Is 51174631 a prime number?
True
Is 65700941 composite?
False
Is 11183519 a composite number?
True
Is 282885931 composite?
False
Is 3705971 composite?
True
Is 1847827 composite?
False
Is 296669741 a composite number?
True
Is 4930309 composite?
False
Is 690136451 prime?
False
Is 3067159 a prime number?
False
Is 61343167 a composite number?
False
Is 69761669 a composite number?
False
Is 156609901 composite?
True
Is 81529339 a composite number?
True
Is 47012249 a composite number?
False
Is 3801331 a prime number?
True
Is 538621 a composite number?
False
Is 1587053 a prime number?
False
Is 13753 composite?
True
Is 148360153 prime?
False
Is 3792709 a composite number?
False
Is 36937519 prime?
True
Is 8497105 composite?
True
Is 1112747 composite?
False
Is 217541 a composite number?
True
Is 1046789 prime?
False
Is 2140009 a prime number?
False
Is 6470137 prime?
False
Is 2550467 prime?
True
Is 166239581 a prime number?
False
Is 353315 a composite number?
True
Is 1066997 composite?
True
Is 915144091 a composite number?
True
Is 376741 a composite number?
True
Is 29971339 a prime number?
True
Is 8471137 a composite number?
False
Is 129397 a prime number?
False
Is 15668063 composite?
True
Is 56250349 prime?
True
Is 3554333 composite?
False
Is 146064719 a composite number?
False
Is 112581902 prime?
False
Is 345007 a prime number?
False
Is 16158059 prime?
False
Is 3519938 prime?
False
Is 394168883 a prime number?
False
Is 5077749 a prime number?
False
Is 25955803 composite?
False
Is 4707083 composite?
False
Is 2100683 a composite number?
True
Is 260038867 a prime number?
False
Is 19633535 a prime number?
False
Is 391939 composite?
False
Is 304101521 a composite number?
False
Is 11252669 a prime number?
True
Is 110140529 a composite number?
False
Is 150257971 a composite number?
True
Is 23447183 a prime number?
True
Is 115887349 a composite number?
True
Is 12699537 a prime number?
False
Is 4798987 a composite number?
False
Is 358417 prime?
True
Is 2255177 a prime number?
False
Is 557999 composite?
True
Is 5074031 composite?
True
Is 8720935 composite?
True
Is 928753 composite?
True
Is 25073233 prime?
False
Is 46470497 a composite number?
False
Is 38993 a composite number?
False
Is 83177 a composite number?
False
Is 62113709 composite?
True
Is 12243743 a prime number?
True
Is 52506695 a prime number?
False
Is 59767993 prime?
True
Is 7734421 composite?
True
Is 2263529 a composite number?
True
Is 32636713 a prime number?
True
Is 283360453 a composite number?
True
Is 175969597 prime?
True
Is 996785705 a prime number?
False
Is 33623341 composite?
False
Is 12147649 a composite number?
True
Is 412234969 a | {
"pile_set_name": "DM Mathematics"
} |
equence az.
1/3
What is prob of sequence cr when two letters picked without replacement from brwycyv?
1/42
Three letters picked without replacement from {h: 2, p: 16}. Give prob of sequence ppp.
35/51
Calculate prob of sequence xx when two letters picked without replacement from {x: 2, l: 2, t: 3, p: 6}.
1/78
What is prob of sequence tcb when three letters picked without replacement from {c: 8, b: 4, t: 2}?
8/273
Two letters picked without replacement from {k: 1, n: 10, m: 4, x: 1, g: 3}. What is prob of sequence gx?
1/114
Two letters picked without replacement from ldlllllllllllldlllll. Give prob of sequence ld.
9/95
Three letters picked without replacement from ffrffxrxfr. What is prob of sequence xxf?
1/72
Four letters picked without replacement from {z: 2, u: 2, d: 2}. Give prob of sequence duzd.
1/45
Calculate prob of sequence tza when three letters picked without replacement from jttaatjzztj.
8/495
Calculate prob of sequence qqn when three letters picked without replacement from {n: 5, q: 7}.
7/44
What is prob of sequence omm when three letters picked without replacement from {o: 5, m: 2}?
1/21
What is prob of sequence ott when three letters picked without replacement from llhvvvlhlhowlhvttl?
1/2448
What is prob of sequence dd when two letters picked without replacement from {j: 4, d: 2}?
1/15
Calculate prob of sequence cvvx when four letters picked without replacement from bbxbcvxxbxxcvbxxx.
1/1785
Calculate prob of sequence eke when three letters picked without replacement from {k: 2, x: 2, e: 4}.
1/14
Two letters picked without replacement from jljlglclcdj. What is prob of sequence jd?
3/110
Three letters picked without replacement from iwwcibbr. What is prob of sequence bir?
1/84
Calculate prob of sequence wjwe when four letters picked without replacement from lwjeeeeeeeeelelweeej.
13/29070
Two letters picked without replacement from {o: 7, b: 1, u: 1, v: 5}. Give prob of sequence bv.
5/182
Two letters picked without replacement from piaidpcapcaaazi. Give prob of sequence ca.
1/21
What is prob of sequence kgh when three letters picked without replacement from {t: 6, h: 4, a: 3, k: 1, d: 1, g: 1}?
1/840
Calculate prob of sequence aura when four letters picked without replacement from {b: 5, u: 3, r: 1, a: 7}.
3/1040
Calculate prob of sequence ie when two letters picked without replacement from iiiieiieiei.
12/55
Two letters picked without replacement from {e: 11, a: 7, o: 2}. Give prob of sequence ae.
77/380
What is prob of sequence cm when two letters picked without replacement from mbmfvcgv?
1/28
What is prob of sequence xx when two letters picked without replacement from {y: 1, s: 1, x: 3, d: 2}?
1/7
What is prob of sequence eee when three letters picked without replacement from {g: 1, e: 7, t: 1, j: 2, h: 6}?
7/136
What is prob of sequence cc when two letters picked without replacement from {y: 1, c: 2}?
1/3
Two letters picked without replacement from {l: 5, u: 1, w: 5, f: 5}. What is prob of sequence lu?
1/48
Three letters picked without replacement from {f: 1, o: 7}. What is prob of sequence oof?
1/8
Four letters picked without replacement from {m: 1, r: 4, f: 1, z: 1, x: 5}. What is prob of sequence mxxz?
1/594
Calculate prob of sequence om when two letters picked without replacement from {g: 7, m: 2, o: 3}.
1/22
Four letters picked without replacement from vyysrszvsvyvzvsssrsy. Give prob of sequence rsvy.
7/2907
Three letters picked without replacement from {g: 1, h: 2, t: 1}. Give prob of sequence hgg.
0
Three letters picked without replacement from {u: 3, r: 3}. What is prob of sequence urr?
3/20
Three letters picked without replacement from {t: 1, n: 3, q: 1, l: 2, z: 5}. What is prob of sequence tll?
1/660
What is prob of sequence xxux when four letters picked without replacement from uuuxuuuxxx?
1/35
What is prob of sequence nx when two letters picked without replacement from {n: 1, w: 2, x: 1, l: 1, q: 1, p: 1}?
1/42
Three letters picked without replacement from {u: 2, s: 4, e: 2, k: 4}. Give prob of sequence uek.
2/165
What is prob of sequence avoq when four letters picked without replacement from qtvvvvvqtavqota?
1/910
Four letters picked without replacement from rjdjjqjzuqjjjjzqjjj. What is prob of sequence qjjq?
55/7752
Calculate prob of sequence ur when two letters picked without replacement from qddluddddldddqlrd.
1/272
Two letters picked without replacement from {a: 2, y: 1, l: 1, p: 11, k: 4}. Give prob of sequence ap.
11/171
What is prob of sequence llh when three letters picked without replacement from {l: 3, n: 1, k: 2, h: 1, w: 4}?
1/165
Two letters picked without replacement from {x: 1, n: 1, u: 2, i: 1, z: 1, e: 2}. What is prob of sequence ue?
1/14
Two letters picked without replacement from {j: 3, x: 2, l: 8, z: 2}. What is prob of sequence lx?
8/105
Calculate prob of sequence knkn when four letters picked without replacement from {k: 3, w: 7, n: 3}.
3/1430
Two letters picked without replacement from zchz. Give prob of sequence ch.
1/12
Calculate prob of sequence hvdd when four letters picked without replacement from vdpdhpee.
1/840
Four letters picked without replacement from {w: 3, m: 3}. What is prob of sequence wwmm?
1/10
Two letters picked without replacement from {c: 1, o: 2, i: 1, x: 3}. Give prob of sequence xo.
1/7
What is prob of sequence tv when two letters picked without replacement from {t: 1, v: 2}?
1/3
What is prob of sequence sss when three letters picked without replacement from {o: 1, s: 12}?
10/13
Calculate prob of sequence gg when two letters picked without replacement from gqpqqqqgp.
1/36
Three letters picked without replacement from {f: 4, n: 7, t: 3, m: 5}. What is prob of sequence tnf?
14/969
What is prob of sequence gr when two letters picked without replacement from sggqqsoqorqrrtoooqqo?
3/190
Calculate prob of sequence lwl when three letters picked without replacement from iillliiiwwiwiwii.
1/140
Two letters picked without replacement from ccppcfpvcc. What is prob of sequence vp?
1/30
Calculate prob of sequence zgve when four letters picked without replacement from {z: 1, e: 1, x: 6, v: 3, g: 6}.
3/9520
Three letters picked without replacement from {k: 8, u: 5, e: 2, n: 2}. What is prob of sequence kne?
2/255
Calculate prob of sequence aat when three letters picked without replacement from zxazxxaxxtzazxtaxta.
10/969
What is prob of sequence zjo when three letters picked without replacement from {o: 2, z: 6, j: 4, b: 3, r: 3}?
1/102
Four letters picked without replacement from izmmiiiimmn. Give prob of sequence znmz.
0
Two letters picked without replacement from exmhmeomeexe. Give prob of sequence ox.
1/66
Calculate prob of sequence jf when two letters picked without replacement from bfbbfjjjbjb.
4/55
Four letters picked without replacement from {z: 2, s: 2, n: 5}. What is prob of sequence zssz?
1/756
Four letters picked without replacement from rrrrrsrsxrrsrrr. Give prob of sequence srss.
11/5460
Calculate prob of sequence phzc when four letters picked without replacement from uuzpuchhuhuuhkkh.
1/8736
Three letters picked without replacement from qqbqxnt. Give prob of sequence bqx.
1/70
Three letters picked without replacement from {n: 5, h: 3}. What is prob of sequence hhh?
1/56
What is prob of sequence lh when two letters picked without replacement from {h: 1, u: 10, k: 2, j: 1, l: 3}?
3/272
What is prob of sequence ftm when three letters picked without replacement from mftovtfmfofm?
1/55
Two letters picked without replacement from ggaagagagaaa. What is prob of sequence ga?
35/132
Two letters picked without replacement from psk. What is prob of sequence kp?
1/6
Two letters picked without replacement from hkhkhh. What is prob of sequence kk?
1/15
Two letters picked without replacement from ssosutottssottoukot. Give prob of sequence su.
5/171
What is prob of sequence vcc when three letters picked without replacement from cvec?
1/12
What is prob of sequence qlmn when four letters picked without replacement from {q: 5, l: 1, n: 3, i: 5, m: 6}?
1/1292
Four letters picked without replacement from {h: 5, g: 4, m: 1, z: 3, a: 1, u: 1}. Give prob of sequence ahug.
1/1638
What is prob of sequence rr when two letters picked without replacement from tbbrrtrrytb?
6/55
Four letters pi | {
"pile_set_name": "DM Mathematics"
} |
847690
What is the smallest common multiple of 2840 and 288?
102240
Calculate the lowest common multiple of 54 and 15840.
47520
What is the least common multiple of 23138 and 115690?
115690
What is the common denominator of 47/2131482 and 149/6?
2131482
Calculate the lowest common multiple of 63 and 44520.
133560
Find the common denominator of -151/17580 and 17/158220.
158220
What is the lowest common multiple of 2079 and 7938?
87318
What is the common denominator of -53/322 and 50/13027?
599242
What is the common denominator of 45/30448 and -89/133210?
1065680
Calculate the lowest common multiple of 1425 and 202635.
1013175
Find the common denominator of -47/3606 and 83/276.
165876
What is the common denominator of -1/224 and -18/479?
107296
Calculate the smallest common multiple of 11640 and 80.
23280
What is the smallest common multiple of 4096 and 8192?
8192
What is the lowest common multiple of 406 and 66178?
66178
What is the common denominator of 73/682 and 161/28458?
313038
What is the smallest common multiple of 15912 and 9945?
79560
Calculate the least common multiple of 28 and 40488.
40488
Calculate the common denominator of -89/979998 and 83/8.
3919992
Calculate the smallest common multiple of 395528 and 56504.
395528
Calculate the common denominator of -89/748 and 16/6545.
26180
Find the common denominator of 21/964 and -83/1063774.
2127548
What is the lowest common multiple of 7636 and 322?
53452
What is the common denominator of 127/14418 and 115/4806?
14418
Calculate the common denominator of 127/230 and 89/210.
4830
Find the common denominator of 53/1692 and -67/741.
417924
What is the lowest common multiple of 27828 and 4638?
27828
Calculate the lowest common multiple of 710952 and 2.
710952
Calculate the common denominator of -4/168207 and 95/1816.
1345656
Find the common denominator of 9/14276 and -30/1577.
271244
Calculate the lowest common multiple of 11772 and 218.
11772
Find the common denominator of -109/22344 and 80/9177.
513912
Calculate the common denominator of 7/107572 and -145/6.
322716
What is the common denominator of 19/444160 and -97/222080?
444160
Calculate the smallest common multiple of 33992 and 178458.
713832
Find the common denominator of 169/820020 and 119/15800.
8200200
What is the lowest common multiple of 30960 and 26316?
526320
Calculate the common denominator of -93/9352 and 19/42.
28056
Find the common denominator of 31/10 and -41/694938.
3474690
Calculate the common denominator of -81/40720 and 149/171024.
855120
What is the common denominator of -49/3132 and 37/332?
259956
Calculate the smallest common multiple of 44 and 12192.
134112
Calculate the common denominator of 71/6744 and 67/272.
229296
Calculate the least common multiple of 1800 and 8400.
25200
Calculate the lowest common multiple of 417096 and 60.
2085480
What is the common denominator of 58/333 and 67/94498?
850482
What is the common denominator of -33/50 and 127/11020?
55100
What is the common denominator of -109/6968 and 33/130?
34840
Calculate the smallest common multiple of 10024 and 115276.
230552
What is the common denominator of -67/105 and -121/140?
420
Find the common denominator of 19/92 and -1/32900.
756700
Calculate the least common multiple of 8 and 18140.
36280
What is the common denominator of 71/36 and -119/900?
900
What is the least common multiple of 502328 and 627910?
2511640
Find the common denominator of -46/675955 and -50/7.
675955
Find the common denominator of -74/6171 and -61/4488.
49368
Calculate the common denominator of 46/464325 and 11/12300.
1857300
Calculate the lowest common multiple of 83984 and 26064.
755856
Find the common denominator of -14/909 and 41/106555.
958995
Calculate the lowest common multiple of 88 and 4812.
105864
Find the common denominator of 31/41871 and -79/33.
460581
What is the common denominator of -113/18666 and -109/49776?
149328
What is the least common multiple of 191 and 201?
38391
Calculate the common denominator of -7/129996 and -25/33912.
779976
What is the common denominator of -9/326194 and -17/1067544?
11742984
Calculate the least common multiple of 294680 and 20.
294680
What is the least common multiple of 418 and 3344?
3344
Find the common denominator of -51/17080 and 143/24.
51240
What is the least common multiple of 18800 and 11750?
94000
What is the least common multiple of 690 and 2162?
32430
What is the least common multiple of 438458 and 6?
1315374
What is the smallest common multiple of 6783 and 2838?
6416718
Calculate the common denominator of -139/135258 and -61/30.
676290
What is the smallest common multiple of 1500 and 1577?
2365500
Calculate the common denominator of 64/283287 and 31/2670.
2832870
What is the common denominator of 211/60720 and -41/726?
667920
Calculate the lowest common multiple of 108 and 354213.
1416852
Calculate the smallest common multiple of 48792 and 24396.
48792
Calculate the lowest common multiple of 11232 and 134784.
134784
Find the common denominator of 93/11186 and -26/29563.
413882
Find the common denominator of -59/22550 and 115/8118.
202950
Find the common denominator of -131/68484 and 17/72.
410904
Calculate the least common multiple of 50 and 2722.
68050
What is the least common multiple of 1397944 and 136?
1397944
What is the lowest common multiple of 13338 and 1102?
386802
Calculate the common denominator of -145/8208 and 97/184224.
1658016
Calculate the least common multiple of 45448 and 90896.
90896
Calculate the common denominator of -49/40752 and 67/91692.
366768
What is the smallest common multiple of 97 and 9?
873
Calculate the smallest common multiple of 3288 and 1088.
447168
What is the common denominator of 43/9802 and -12/8281?
480298
Calculate the lowest common multiple of 29540 and 20.
29540
Calculate the smallest common multiple of 6 and 1026166.
3078498
Find the common denominator of -65/1296 and -179/1440.
12960
What is the smallest common multiple of 99666 and 531552?
1594656
Find the common denominator of 31/262108 and 49/16.
1048432
Calculate the least common multiple of 20 and 468.
2340
Calculate the least common multiple of 719325 and 50.
1438650
What is the lowest common multiple of 50 and 630?
3150
Find the common denominator of -11/192 and -31/2580.
41280
What is the common denominator of 109/233170 and 47/160?
3730720
Calculate the common denominator of 145/5424 and 137/2208.
249504
Find the common denominator of -121/23184 and 3/18032.
162288
What is the common denominator of -83/9840 and 11/2936?
3611280
What is the least common multiple of 12670 and 13575?
190050
Calculate the common denominator of -107/28 and 83/21480.
150360
Calculate the smallest common multiple of 1722 and 3654.
149814
What is the least common multiple of 16 and 61782?
494256
Calculate the common denominator of -47/34110 and -19/15918.
238770
What is the least common multiple of 4168 and 60?
62520
Find the common denominator of -157/46998 and -53/17904.
375984
What is the common denominator of -2/315 and 157/10710?
10710
Calculate the lowest common multiple of 2784 and 1276.
30624
Calculate the common denominator of 83/126 and 55/90223.
1624014
What is the smallest common multiple of 1188 and 7128?
7128
Calculate the least common multiple of 20020 and 30940.
340340
What is the common denominator of 8/3289 and -71/136045?
1496495
Calculate the common denominator of 133/10270 and 71/790.
10270
Find the common denominator of 55/37852 and -79/170334.
340668
Calculate the common denominator of 55/127491 and -109/728.
1019928
Calculate the lowest common multiple of 15598 and 72318.
795498
What is the lowest common multiple of 6972 and 16?
27888
Calculate the common denominator of -107/129588 and 1/8.
259176
Calculate the least common multiple of 814122 and 1.
814122
What is the least common multiple of 45288 and 130832?
1177488
Calculate the common denominator of -8/555 and -97/1575.
58275
What is the common denominator of 51/8854 and 113/10?
44270
Calculate the common denominator of 137/11376 and 59/28.
79632
What is the common denominator of -103/11010 and 1/147534?
737670
Calculate the lowest common multiple of 17828 and 44.
196108
Find the common denominator of -55/12732 and 111/940.
2992020
What is the common denomina | {
"pile_set_name": "DM Mathematics"
} |
, 2?
3
Let f(o) = -o**3 - 40*o**2 - 64*o + 457. Let u be f(-38). Which is the closest to u? (a) 1 (b) -1/2 (c) -1
a
Let r(h) be the first derivative of h**4/4 - 4*h**3/3 - 3*h**2/2 + 2*h - 91. Let a be r(5). Let p = -2 - 0. What is the closest to 1/2 in p, 4, a?
p
Let k = -0.9775 + 5.9775. Which is the nearest to 1? (a) 3 (b) 1/2 (c) k (d) -5/6
b
Let q = 55 + -55.2. Let l = 403 + -403.1. What is the nearest to -1/2 in 0.2, q, l?
q
Let i = -0.0635 - -1.4635. Which is the closest to 6? (a) -3 (b) 6/7 (c) i
c
Let l = -2114 - -10571/5. Let v be (-3)/((-5)/4 - -2). Let o be -2 + (-3)/v + 1. What is the closest to -1 in o, -0.3, l?
-0.3
Let n = 44.4 + -60.4. Which is the closest to 10? (a) -1/4 (b) n (c) 4
c
Let g = 87987.3 - 87987. Let h = -53/296 - -2/37. Which is the closest to -0.2? (a) h (b) 3/5 (c) g (d) -4
a
Suppose 4*i - 827*g + 823*g + 8 = 0, -2*g = 5*i - 11. Let f = -78 + 158. Let v be 2/f + 2/(-5). Which is the closest to -2/5? (a) -1/8 (b) i (c) v
c
Let m = -130 - -130.5. Let o(h) = -8*h + 99. Let x be o(12). What is the closest to x in 3, m, -4/5?
3
Let o = 1.0534 - 4.0534. Which is the closest to 41? (a) o (b) -4 (c) 5
c
Let o be 1/(-30) + 1*(-4)/24. Let j = 616/6213 - -2/327. Which is the closest to j? (a) 0.1 (b) o (c) 0.07
a
Let l = -69 + 74. Let s = 3719 + -3712.9. Which is the closest to s? (a) l (b) 0.3 (c) -2/9
a
Let u = 3304 - 3287. What is the nearest to 2 in 2, 1, u, 4?
2
Let q be (40/138)/((-398)/(-1791)). Which is the closest to 1/3? (a) q (b) 2/35 (c) -1 (d) -3
b
Let n be 438/(-110) + (-16)/(-88) + 3. Let r = -1.4 - -1.5. Which is the closest to r? (a) 0.11 (b) n (c) -3
a
Suppose -5*j + 2 = 480*j + 2. Suppose -4*a - 1 = -21. What is the nearest to a in j, 0.6, -3, 5?
5
Let h = -19.99 - -20.39. Which is the nearest to -2? (a) 6 (b) h (c) -33 (d) -0.5
d
Let q(o) = -4*o + 21 - 15 - 20. Let r be q(9). Let k = -54 - r. Which is the closest to -0.2? (a) -0.1 (b) k (c) -2
a
Let n = -22.242 + 22.275. Which is the closest to 9? (a) 4 (b) 0 (c) n (d) -1/3
a
Let x = 14524 + -14523. What is the nearest to -4 in x, -2, -0.043?
-2
Suppose 6*a - a = 5*s - 5, 0 = 4*a + 3*s + 32. Suppose -4*r = -0 + 8. Let j be 24/20 + 96/(-105). What is the nearest to r in j, a, -0.1?
-0.1
Let b = -0.2443 + 0.1743. What is the nearest to -20 in b, 0.2, 2/7?
b
Let t = -9868.2 + 9895. Which is the nearest to 0? (a) -0.3 (b) -1 (c) t
a
Let y = -0.573 - -1.073. Let q = -3/65 - 7/65. Which is the closest to -5.3? (a) y (b) q (c) 0.4
b
Suppose 5*o = -7*g + 4*g - 300, o = -4*g - 43. Let q be 132/o - 2/(-1). Let m be 208/660 - 14/105. Which is the closest to 1? (a) m (b) 1 (c) q
b
Let u = 204 - 204. Which is the nearest to u? (a) 0.5 (b) 3/7 (c) -0.4 (d) 17
c
Let z be ((-5)/10 - 2)*-1. What is the closest to 2/13 in z, -0.4, 95, 0?
0
Suppose 0 = -693*m + 691*m - 4. Which is the nearest to 0? (a) 3 (b) -5 (c) 5.2 (d) m
d
Let n = -0.03 - 0.07. Let b be -215 + 212 - 2*1. Let d = 1.2 - -1.8. What is the nearest to n in 0, b, d?
0
Let b = -0.05261 - -45.18261. Let w = b + -0.13. Let z = -46 + w. What is the closest to -0.1 in -0.2, z, -0.4?
-0.2
Let b = 0.58 + -0.38. What is the closest to b in 1, 0.2, -2, 1/3?
0.2
Let m be ((-35862)/(-430))/(3/17). Let o = 472 - m. What is the closest to -1/4 in 3, 1, 9, o?
o
Let n = -2.5 - 0.5. Let m = -30.691 + 0.191. Let z = -30.5 - m. Which is the nearest to -1/4? (a) z (b) n (c) 0.2
a
Let o(q) = 5*q**3 + 2*q**2 - 1. Let r be o(1). Let u be (8 - r) + -4 + 1. Let y be (-3)/(-6)*(1 - 16/(-4)). Which is the closest to y? (a) 4 (b) -3 (c) u
a
Let r = -2.1 + 2. Suppose -4*y - 41*p + 16 = -45*p, 0 = 4*p + 8. Which is the nearest to y? (a) r (b) -0.3 (c) 15
a
Suppose z - 182 = 4*t, 82 = -2*t + 3*z + 2*z. Let l be (-6)/(-21) + t/14. Let d = 0.05125 + 26.94875. What is the nearest to 0 in 1, d, l?
1
Let y = -14360 + 14365. What is the closest to 2/21 in -2, 119, -0.2, y?
-0.2
Let h = 2223 + -2226. Which is the nearest to -1? (a) -2/11 (b) -0.05 (c) h (d) 12
a
Let f(p) = -48*p + 336. Let g be f(7). Which is the nearest to -0.066? (a) 0.1 (b) g (c) -0.3 (d) 1
b
Let g = 36.93 + -36.63. Which is the nearest to 49? (a) 0.1 (b) 3 (c) g (d) 3/4
b
Let g(f) = -f - 5. Let l be g(-5). Let v = -2408 - -2407.5. Let b = -0.5 - -0.52. What is the nearest to -0.1 in v, l, b?
l
Let g = 2174 - 2169. Which is the nearest to -93? (a) g (b) 4 (c) 0.3
c
Let n = 6890 - 6891. Which is the closest to -2? (a) 0.3 (b) -89 (c) -1/4 (d) n
d
Suppose s + 4*s - 10 = 0. Let p = 585 - 585.053. Which is the nearest to 1? (a) s (b) -1/6 (c) p
a
Let w = 812 + -812.4. Which is the closest to 0.31? (a) w (b) -1 (c) -5
a
Let m = 3.96 + 0.04. Let u = 9 - m. Let l be (11*(-6)/(-66))/(-3). What is the nearest to l in 2/7, -0.2, u?
-0.2
Let i = -4675 + 32724/7. What is the closest to -1/4 in 50, 2/19, -2/13, i?
-2/13
Let p = -10622 - -10620. Which is the closest to p? (a) 1/2 (b) -3 (c) 126
b
Let x = 7325/3 + -2408. Let r = x + -33. Let s = 21 - 20. Which is the nearest to 1/4? (a) r (b) 1/2 (c) s
b
Let s = -119/445 - -6/89. Let f = 24.5 - 25. Let x = -1 + -4. Which is the nearest to 0.11? (a) f (b) s (c) x
b
Let m = 53592.9 + -53593. Let i = 0.4 + -0.57. What is the nearest to 3 in -1, i, m, 0?
0
Let q be 5/(275/(-10)) + 48/(-220). Let i = -1.391 + -0.609. Which is the nearest to i? (a) 8 (b) -3/2 (c) q
b
Let y = 691/5 - 688/5. Which is the nearest to y? (a) 2 (b) 1/6 (c) -3/2
b
Let k = -371 - -370. Let f be (k/3)/((-90)/54). What is the closest to -0.02 in f, 5, 4?
f
Let v = 524 + -527. Let g = 4.5 - 4.4. Let p = g + -0.1. Which is the closest to v? (a) p (b) 4 (c) 1/6
a
Let r = -655 + 4584/7. Let y be (-3)/(-18)*-1 + 115/(-30). What is the closest to -2 in y, r, -2/3, 4?
-2/3
Let o = -4.3 - -4.3. Let h(n) = 4*n - 63. Let j be h(17). Which is the closest to o? (a) -5/4 (b) j (c) 2/7
c
Let j = 9256 + -9233. Which is the closest to j? (a) -3 (b) -1 (c) 1 (d) -10
c
Let l = -421/117 - -95/26. Which is the closest to 12? (a) l (b) -0.5 (c) 2/5
c
Let x be ((-4)/(-50))/(32/(-210) + (-65)/1365). Which is the closest to x? (a) 13 (b) 0.06 (c) 3
b
Let k = 0.38 + -0.08. Let x be (-10)/(-16)*(-10)/(-25). Let h(o) = 724*o - 5792. Let p be h(8). Which is the nearest to p? (a) -1 (b) k (c) x
c
Let k = -3842.7 + 3843. Let g = 0.22 - 0.22. What is the closest to 1 in 1/2, -0.1, k, g?
1/2
Let k = -2.7 + 2.42. Let i = -4.08 - k. Let g = i - -3.6. What is the nearest to 3 in 3/4, -0.5, g?
3/4
Let h be -17 + 7 - 63/54*-6. Let l = 1.1 - 6.1. Which is the closest to 5? (a) 2/7 (b) 0 (c) h (d) l
a
Let y = 7105.2 + -7105. Which is the nearest to 1? (a) -0.648 (b) 0.1 (c) y (d) 2
c
Suppose 3*j + 158 = -13*w + 9*w, 5*w + 163 = -3*j. What is the closest to 0.1 in -2, j, 2, 0?
0
Let g(f) = -f**2 + 36*f + 39. Let x be g(-1). Which is the closest to x? (a) -3 (b) -33 (c) -2
c
Let f = 0.111 - 0.011. Let i = 1.1 + 5.9. Let y = -7 + i. What is the nearest to y in f, 5, -0.2?
f
Let g = -458 + 1373/3. Let y = 13 - 9. Suppose y*t = -0*t - 20. Which is the nearest to g? (a) 1 (b) 2 (c) t
a
Let k be -12*((-37)/(-74) + 0 + 7). Let j be (802/k - -9) + (-4)/(-9). What is the closest to -1 in -1/3, j, 0.3, -1/2?
-1/2
Suppose -16 = 6*b - 4*b. Let j be 948/(-2016) - 3/b. What is the closest to 27 in j, -1, 4?
4
Let j = -12.66 - -27.66. What is the nearest to 0.1 in -2, 1, j, 3?
1
Let u be 14/10 - (-43)/1290*-54. Which is the nearest to -2/9? (a) -3.05 (b) 3 (c) u
c
Let x be 13/(390/20)*6/26. Let u = -20 + 3. Let o = u + 22. Which is the closest to -3? (a) 2 (b) o (c) x
c
Suppose -597*v - 5*u - 147 = -601*v, -4*u + 42 = v. Let w = -44/3 - -15. Let g be (-2)/(-2)*2/(-12). What is the nearest to v in 0, w, g?
w
Let k be 3*4/54*(-621)/(-46). What is the nearest to -3/11 in -46, -4, k?
k
Let q = -0.07 - 2.93. Suppose 0 = -10*h - 7 + 277. Suppose h*l + 55 = 16*l. Which is the closest to 1? (a) 1 (b) l (c) q
a
Let y(a) = -a**3 + a**2 + 2*a + 11. Let z be y(3). Suppose 2*s = -0*t - 5*t + 25, 5*s - 5*t = -25. What is the closest to s in 3/14, z, -3?
3/14
Let p = 1058 + -1026. Let v be (p/(-280))/(18/15)*-7. Which is the closest to 4? (a) v (b) -3 (c) 4
c
Let i(t) = -25*t** | {
"pile_set_name": "DM Mathematics"
} |
r + 10*r**2 + 5224675*r.
10*r**2
Collect the terms in 3*s + 42 + 66 + 41 - 194 + 41.
3*s - 4
Collect the terms in 181*h - 184*h + 174 - 174.
-3*h
Collect the terms in 22*d**3 + 7*d**3 - 5*d**3 + 12*d**3 - 62*d**3.
-26*d**3
Collect the terms in -4078*h + 3*h**3 - h**3 + 0*h**3.
2*h**3 - 4078*h
Collect the terms in -13101697 + 13101697 + 12*h.
12*h
Collect the terms in 2 - 5 - 5037*x - 5036*x + 10075*x + 3.
2*x
Collect the terms in -3391*j + 43*j - 599*j.
-3947*j
Collect the terms in -2*v**2 + 86*v**3 + 32*v**3 - 613*v**3 - 492*v**3.
-987*v**3 - 2*v**2
Collect the terms in 3 - 3 + 0 + 37629*t.
37629*t
Collect the terms in -19*t + 10 - 3*t**2 + 31 + 31*t.
-3*t**2 + 12*t + 41
Collect the terms in 42*m - 42*m - 3782*m**2.
-3782*m**2
Collect the terms in -25*c - 21*c - 29*c + 95*c - 21*c.
-c
Collect the terms in -6*s**2 - 9190*s + 52*s**2 + 9190*s + 25*s**2.
71*s**2
Collect the terms in 404*s**2 - 154*s**2 - 249*s**2.
s**2
Collect the terms in -35 - 50*p**3 + 339 - 304.
-50*p**3
Collect the terms in -12*c**2 + 15*c**2 - 60*c**3 - 2*c - 2*c**2 + 2*c.
-60*c**3 + c**2
Collect the terms in -77 + 2*t - 65 + 156.
2*t + 14
Collect the terms in 3*t**2 - 331 - 2*t**2 + 355.
t**2 + 24
Collect the terms in -13*w**2 - 2106*w**2 + 509*w**2 - 2483*w**2.
-4093*w**2
Collect the terms in 223*o**3 + 954*o**3 + 1210*o**3.
2387*o**3
Collect the terms in -97*m**2 + 9656*m - 2*m**3 - 9656*m.
-2*m**3 - 97*m**2
Collect the terms in 1013*j**3 + 26 - 2030*j**3 - 26 + 1007*j**3.
-10*j**3
Collect the terms in 3539*c + 278*c + 4533*c.
8350*c
Collect the terms in 161*x - 67*x - 63*x - 31*x - x**3.
-x**3
Collect the terms in -25*p**2 - 24*p**2 + 110*p**2 - 28*p**2 - 26*p**2 - 5*p**2.
2*p**2
Collect the terms in 6994 + 6994 - 13988 + 6*h.
6*h
Collect the terms in -77*c - 76*c + 121*c + 34*c.
2*c
Collect the terms in -323*u**3 + 111*u**3 + 100*u**3 + 101*u**3.
-11*u**3
Collect the terms in 8*w + 19*w**3 + 8*w - 6*w.
19*w**3 + 10*w
Collect the terms in -39*x**2 + 88*x - 156*x + 80*x.
-39*x**2 + 12*x
Collect the terms in -117*g - 72*g + 185*g.
-4*g
Collect the terms in 3913 - 1303 - 2*k - 1304 - 1306.
-2*k
Collect the terms in -127152937 + 26*s**2 + 127152937.
26*s**2
Collect the terms in -22 - 75 + 247*q**3 - 245*q**3.
2*q**3 - 97
Collect the terms in 253675*p**3 - 507303*p**3 + 253667*p**3.
39*p**3
Collect the terms in -19467 + 42*l**3 + 19467.
42*l**3
Collect the terms in 183 - 534 + 175 + 176 + 356*k.
356*k
Collect the terms in 4 + 511621*r - 511621*r - 3*r**3 - 3.
-3*r**3 + 1
Collect the terms in v**3 + 7 - 49 - 24*v**2 + 2*v**2.
v**3 - 22*v**2 - 42
Collect the terms in -267*s - 16*s**3 + 266*s + 6*s**3 - 6*s**3.
-16*s**3 - s
Collect the terms in 41775*d**2 - 83570*d**2 + 41793*d**2.
-2*d**2
Collect the terms in -8308 + 2361 - 2*t**3 + 5947.
-2*t**3
Collect the terms in -10*j**3 - 1329*j**2 + 661*j**2 + 668*j**2 - 10*j**3.
-20*j**3
Collect the terms in 105 + b**2 + 0*b**3 - 4162*b + 4162*b + b**3 - 4*b**3.
-3*b**3 + b**2 + 105
Collect the terms in -14*s**2 + 72*s**2 + s**3 - 10 - 58*s**2.
s**3 - 10
Collect the terms in -834*g - 880*g + 2*g**3 + 1714*g + 0*g**3.
2*g**3
Collect the terms in 669*o**2 + 772*o**2 - 1443*o**2.
-2*o**2
Collect the terms in 52*f + 3*f + 37*f + 31*f.
123*f
Collect the terms in g**2 + 131 + 0*g**2 - 159.
g**2 - 28
Collect the terms in -334*n**3 + 2*n**2 - 158*n + 158*n.
-334*n**3 + 2*n**2
Collect the terms in 292 - 882 + 291 - 4*q**2 + 18*q**2 + 299.
14*q**2
Collect the terms in 857 + 867 + 24*v - 2589 - v + 865.
23*v
Collect the terms in -2795*s - 1469*s - 3130*s + 658*s.
-6736*s
Collect the terms in 635*g**3 + 632*g**3 + 7*g - 1256*g**3.
11*g**3 + 7*g
Collect the terms in 260 - 7*w**3 + 248 - 754 + 4*w**3 + 246.
-3*w**3
Collect the terms in 0*i - 5559 + 5511 - 2*i.
-2*i - 48
Collect the terms in 277*d - 272*d + 78 - 171 + 86.
5*d - 7
Collect the terms in 2*l - 2*l + 235590767*l**2 - 235590768*l**2.
-l**2
Collect the terms in -207 - 6*t**3 + 70 + 65 + 72.
-6*t**3
Collect the terms in 0 - 282333391*n + 2 + 282333391*n + 4*n**3 - 2.
4*n**3
Collect the terms in -5*w**3 - 6556853*w + 6556853*w.
-5*w**3
Collect the terms in 14*s + 49*s + 61*s - 11*s.
113*s
Collect the terms in 8*f + 18*f + 12*f + 16*f + 15*f - 62*f.
7*f
Collect the terms in -321 + 174 + 175 - 5*f.
-5*f + 28
Collect the terms in 20*i - 5 + 2 + 2 + 59*i.
79*i - 1
Collect the terms in -12 + 1011*c**2 - 1024*c**2 + 2 + 10.
-13*c**2
Collect the terms in 52 + 23*v - 55*v + 15*v + 16*v.
-v + 52
Collect the terms in -2 - 615*l + 390*l + 239*l.
14*l - 2
Collect the terms in -8*s + 528 - 581 + 4*s.
-4*s - 53
Collect the terms in 0*d**2 + 90855*d**3 + 4*d**2 - 90763*d**3 - 4*d**2.
92*d**3
Collect the terms in -22*j**2 + 51*j**2 + j - 3*j**3 - 29*j**2.
-3*j**3 + j
Collect the terms in 4 + 7587138*a - 7587138*a + 2*a**2 + 4 - 8.
2*a**2
Collect the terms in -11*s + 1575 + 1589 - 3164.
-11*s
Collect the terms in 268*h - 51*h - 2 - 164*h.
53*h - 2
Collect the terms in 32*a**2 + 1042*a**3 - 17*a**2 - 15*a**2.
1042*a**3
Collect the terms in -83*z - 25*z - 39 - 3 + 109*z.
z - 42
Collect the terms in 0*s**2 + 14006542 + 2*s**3 - s**2 + s**2 - 14006542.
2*s**3
Collect the terms in -159*b**2 - 56*b**2 - 8*b**2 - 202*b**2 + 19*b**2.
-406*b**2
Collect the terms in -73182 - 7*f**3 - 11*f**3 + 73182.
-18*f**3
Collect the terms in 2*n**2 - 462879*n + 462879*n - 4*n**3.
-4*n**3 + 2*n**2
Collect the terms in -36555694*q + 2*q**2 + 36555694*q.
2*q**2
Collect the terms in -22337*s + 4*s**2 + 107 + 22337*s.
4*s**2 + 107
Collect the terms in -213*q + 182*q + 1 + 102*q - 1.
71*q
Collect the terms in -648*y + 7*y**3 - 7 + 0*y**3 + 648*y - 3*y**2.
7*y**3 - 3*y**2 - 7
Collect the terms in -678*a - 715*a - 641*a + 2123*a.
89*a
Collect the terms in -4*f + 16 - 1 + f + f - 51.
-2*f - 36
Collect the terms in 529778956*o - 529778956*o + 3*o**3.
3*o**3
Collect the terms in 118*c**3 + 5297*c - 5297*c - 133*c**3.
-15*c**3
Collect the terms in -409 - 167 + d + 9*d - 153.
10*d - 729
Collect the terms in 1987*m + 2705*m + 3743*m.
8435*m
Collect the terms in -3*t**2 + 4*t**2 - 27*t - 6*t**2 - 164*t.
-5*t**2 - 191*t
Collect the terms in -3302*l + 1422*l + 1433*l.
-447*l
Collect the terms in -280*j**2 - 8*j + 26*j - 7*j - 11*j.
-280*j**2
Collect the terms in 5273 - 52*x - 10550 + 5277.
-52*x
Collect the terms in 3 + 14348*l - 14348*l - 17*l**2 - 3*l**2.
-20*l**2 + 3
Collect the terms in c**2 - 5*c**2 + c**2 + 13*c**2 + 25*c**2.
35*c**2
Collect the terms in -100*h**3 - 111*h**2 - 6*h**3 + 114*h**2.
-106*h**3 + 3*h**2
Collect the terms in 262*h + 271*h + 264*h - 803*h.
-6*h
Collect the terms in -33*z**3 + 77 - 222 + 80 + 74.
-33*z**3 + 9
Collect the terms in 45 - 45 + 167*x**2 + 72*x**2 - 50*x**2.
189*x**2
Collect the terms in -23655*i**3 + 1 - 1 + 23657*i**3.
2*i**3
Collect the terms in 226*l**2 - 255*l**2 - 363*l**2.
-392*l**2
Collect the terms in 7459*z + 6440*z - 1581*z.
12318*z
Collect the terms in 2*q + 931 + 825 - 1756.
2*q
Collect the terms in 3081576*x + 3081583*x - 6163158*x.
x
Collect the terms in -9*i**2 - 45*i**2 - 10*i**2 + 5*i**2.
-59*i**2
Collect the terms in 13*y - 1591 + 2*y - 4*y.
11*y - 1591
Collect the terms in 1828*p - 623*p - 616*p - 587*p.
2*p
Collect the terms in -5 + 24*j + 17 - 14.
24*j - 2
Collect the terms in g**2 + 6*g + 68 + 8*g**2 - 2*g**2 - 2*g.
7*g**2 + 4*g + 68
Collect the terms in 766*c**3 - 5 - 251*c**3 - 264*c**3 - 261*c**3.
-10*c**3 - 5
Collect the terms in b**2 - 31517*b + 0*b**2 - 2*b**2 - 61 + 31517*b.
-b**2 - 61
Collect the terms in 2*l**2 - 715 + 4*l**2 + 1428 - 713 - 5*l**2.
l**2
Collect the terms in -44155*d**2 + 0 + 2*d + 0.
-44155*d**2 + 2*d
Collect the terms in 0*q**2 - 169*q - 1562*q - 1 + 3*q**2.
3*q**2 - 1731*q - 1
Collect the terms in 3*x - 3*x**2 + 4*x**2 - 2291 - 2*x**2.
-x**2 + 3*x - 2291
Collect the terms in -2551117 - 106*j**3 + 109*j**3 + 2551117.
3*j**3
Collect the terms in -8*q - 21 - 3*q + 22.
-11*q + 1
Collect the terms in -4288 - 46*o**2 - 21*o**2 + 4288.
-67*o**2
Collect the terms in -587 - x**3 - 2*x**2 - 601 + 1188.
-x**3 - 2*x**2
Collect the terms in -38*u + 81*u + 7 - 22*u + 0 + 88*u.
109*u + 7
Collect the terms in -4 + 1 - 2*y**2 - 12 - 8 - y.
-2*y**2 - y - 23
Collect the terms in -68707*m**2 + 2 + 68724*m**2 + 4 - 6.
17*m**2
Collect the terms in 29 + 31 + 22 + 8*o - 107 | {
"pile_set_name": "DM Mathematics"
} |
est to q? (a) 4 (b) -0.5 (c) 14
c
Let u = 25679/4 + -6420. What is the nearest to u in -0.4, 5, -1/29, -4?
-0.4
Let m = -110 - 100. Let v = m + 210.5. What is the nearest to 0.1 in 4, v, -2?
v
Let z = 0.045 - -6.955. Let g = z - 7. Let i = 7.4 - 7.7. What is the closest to i in g, 5, -3?
g
Let i = 118 + 154. Let r = 271 - i. What is the nearest to r in 0.3, -1, 25?
-1
Let a = 0.199 - 0.22. Let b = 45.979 - a. Let d = 46.3 - b. What is the nearest to d in 3, -2, -2/5?
-2/5
Let r = 4.865 - 5.465. What is the closest to -2 in 1/2, 0.06, r?
r
Let w = 0.43494 + -0.13494. What is the closest to 23 in w, -2/7, -28?
w
Let t = 5796/14515 - -2/2903. Which is the closest to 2/7? (a) 2/3 (b) t (c) 5/46
b
Let f be (21/15 - 1)/((-1952)/(-80) - 24). Let v = 12 + -12. Suppose -4*l + 17 - 5 = v. Which is the nearest to f? (a) l (b) -0.5 (c) -0.04
c
Let q = -11096 - -110961/10. What is the closest to -0.3 in q, -6/11, -2, -6?
-6/11
Let v = 23 - 17. Let n be v/9 + 6 + -6. Let w be (-2)/7 + (-1216)/(-532). Which is the closest to n? (a) -3/2 (b) 3 (c) w
c
Let h be (-27)/(-216)*4/(-2)*1. What is the nearest to -0.1 in h, 19, 1/7?
h
Let h be ((-1)/4)/((-2)/(-12)). Let i = -26335.5 + 26336. Which is the nearest to -5? (a) -0.3 (b) h (c) i (d) -5
d
Let z = -499.9 + 498.9. What is the closest to 1.7 in -1.3, -4, 3/8, z?
3/8
Let b(a) = 0*a**3 - 3*a**3 + 6*a**2 + 2*a**3 - 4*a - 4. Let w be b(5). Let q = 24263 - 24268. What is the nearest to -1 in q, 5, w?
w
Let g = 6341 - 6342. What is the closest to g in -1/6, 0.36, 0.1?
-1/6
Let k be (-11)/1 + (27 - 203)/(-22). Which is the nearest to -1? (a) k (b) 103 (c) -1/4 (d) -0.2
c
Let h = 23/7 + -99/28. What is the closest to h in 0.5, 5, 6/11, 0.2?
0.2
Let z = 4 - 4. Let y = 0.6342 + -0.4342. Let q = -5.02 + 0.02. What is the nearest to y in z, 0.1, q?
0.1
Suppose 2*w - 4 = -0*p - 5*p, 0 = -3*w - 4*p + 6. Let k = 0.669 - 4.669. Which is the closest to 0.1? (a) -0.05 (b) k (c) 4 (d) w
a
Let b(t) = 2*t**2 - 31*t + 26. Let v be b(15). Let p be v/22 - (3 - 0). Let k = -194/3 - -64. What is the closest to k in -0.2, -2, p?
-0.2
Let w = 5169 + -15511/3. Let r = -11 - -16. Which is the closest to w? (a) 7 (b) r (c) 0.5 (d) 2
c
Let m = -66.82 + 66.52. Which is the nearest to 4/15? (a) -5 (b) 0.1 (c) 1 (d) m
b
Let l = -0.6669 + 4.6669. What is the nearest to l in -0.45, 2/7, -3/2?
2/7
Let k = -1.7 - -5.7. Let r = 122.9 + -136. Let l = 13.3 + r. Which is the closest to l? (a) k (b) 0 (c) 0.5
b
Let m = 0.5 - 0.3. Let j = 61263 - 122527/2. Which is the nearest to m? (a) j (b) 3/11 (c) -2
b
Let s = 10687/5 - 2137. Let k be (3 - 44/16)*5. Which is the nearest to s? (a) k (b) -7 (c) 0
c
Let p = -8 - -4. Let x = -2679.8 - -2684.8. Which is the closest to 0? (a) 3/8 (b) 2/7 (c) p (d) x
b
Let o = -75741 + 75739. Suppose -6 = 2*f + 6. What is the nearest to f in 5, o, 1/2, 2?
o
Let s be (-9)/2 + (-77490)/(-16740). What is the nearest to s in -0.4, 0.1, -0.1, 0.2?
0.1
Let u be 11/44 + 15/4. Let o be 1/(6/u) - 96/36. Let l = 0.13 - -2.87. What is the closest to 0.1 in l, o, 0.3?
0.3
Let v = -5.95342 + -0.04658. Suppose 0 = -3*g + 137 - 29. Let i be 4/(-18) - 1/g. Which is the nearest to i? (a) 3 (b) 0.3 (c) v
b
Let l = 1 - 3. Let n = -217.5 + -2.7. Let x = n + 220. Which is the nearest to 0.1? (a) x (b) 0.2 (c) l
b
Suppose -26*h + 689 = -87 - 784. What is the nearest to h in 3, 2/25, -0.5?
3
Let l = 695 - 692. Which is the closest to 2? (a) 0.2 (b) 15/14 (c) 2/15 (d) l
b
Let j = 0.2 - 0.2. Let d(y) be the first derivative of y**3 - 59*y**2/2 - 25*y - 157. Let x be d(20). Which is the nearest to 0? (a) x (b) 3/5 (c) j
c
Let q = -2020 + 1172. Let p = q - -853. What is the nearest to 0.1 in 2/7, -29, p?
2/7
Let w = -2/16441 + -16437/32882. What is the nearest to 0 in w, 4, 0.62?
w
Suppose -8*y = -9*y + 3*s + 20, -25 = 5*s. Which is the nearest to 2/3? (a) -0.05 (b) 1/2 (c) -9 (d) y
b
Suppose 207*v = 1186 - 358. What is the closest to 1 in 2.8, 5, v, -0.1?
-0.1
Let l be -17 + (-245)/(-14) + -2. Which is the closest to -1/2? (a) -0.5 (b) -10 (c) l
a
Let k be (-3)/5*4/12. Let w(q) = 2*q**3 + 11*q**2 - 14*q - 44. Let g be w(-6). Which is the nearest to 0? (a) k (b) g (c) -3
a
Let n = -747/5 - -150. Let z = -4388.1 + 4388. Let o = 2/81 + -89/324. Which is the closest to o? (a) 1 (b) z (c) n
b
Let t = -239/48 - -245/48. Which is the closest to 0? (a) t (b) -0.5 (c) 1.81
a
Let j = 203.751 - 197.9. Let h = 0.149 + j. Which is the nearest to h? (a) -0.1 (b) -0.5 (c) 0.3
c
Let f be (-390)/(-104)*(-4)/(-6). Let n = -871/6 - -145. Which is the closest to -1? (a) -0.2 (b) f (c) n
a
Let n = 53 - 50. Let q be ((-14)/98)/((-14)/(-49)). Which is the nearest to -1? (a) 2 (b) 4 (c) q (d) n
c
Let k be 18/8*(-716)/(-537). What is the closest to -4 in -9, 5, k, -7?
-7
Let m be 10 - 964/90 - 6/(-10). Let w = -0.54 + -1.47. Let b = -2 - w. What is the nearest to -0.1 in b, m, 2?
m
Let z = 4756 - 4757. Which is the nearest to -2/267? (a) z (b) -0.2 (c) 4 (d) 2/3
b
Let n = -0.1 + -0.1. Let p = 373 - 769. Let z = 397 + p. Which is the nearest to z? (a) n (b) -0.07 (c) 3
b
Let o = -7.5 + -30.7. Let k = 42.2 + o. What is the nearest to -3 in 0.07, -4, k?
-4
Let h be (24/18)/(16/60). What is the nearest to 3 in h, -4, 2/53?
h
Let j = -1 + 1. Let n = 1.305 + -1.805. What is the closest to 5 in j, n, 1?
1
Let z = -3.988 - 0.012. Let h = 15.743 + -15.77. Which is the nearest to -2? (a) 2/11 (b) z (c) h (d) 2/9
c
Suppose 57 = 3*r - 6*g, 2*r - g - 66 + 52 = 0. Let f = -4.94 + -0.06. Which is the nearest to 0? (a) -2/11 (b) 2/5 (c) f (d) r
a
Let t = 22442 - 22446. What is the closest to 1/12 in 42, -4/5, t, 2/5?
2/5
Suppose 8 = -3*h - 1. Let w be 11/4 - 1/12*h. Which is the closest to 0.08? (a) 4 (b) -8/7 (c) w
b
Let c = 811 - 1427. Let m = c + 616. What is the nearest to -1 in 0.1, -0.05, -1, m?
-1
Let k = -0.3 + -0.7. Let p be 1/(-4) - (-1)/(-4). Let m = 252809 - 252808. Which is the closest to 2/5? (a) m (b) k (c) p
a
Let n = -9/421 + 457/1684. Which is the closest to 7? (a) 5 (b) -0.5 (c) n
a
Let r = -16.4 + -0.6. Let y = 12.074 + -11.574. Let j = -49 - -48.6. What is the nearest to r in -1/2, j, y?
-1/2
Let y = -0.317 - -0.117. Let m = -0.2 - y. Which is the nearest to 1? (a) -4 (b) -0.208 (c) m
c
Let i = -12334 + 12335. Which is the closest to -0.069? (a) -1 (b) 2/11 (c) i
b
Let h = 0.14 + 0.06. Let x = 289/6 - 871/18. What is the nearest to x in -5, h, 1?
h
Let u = 3035 - 3056. Which is the nearest to -1? (a) -1/4 (b) 0.4 (c) u
a
Let s be (-20)/24*4/20. Let v = -0.0752 - -0.1752. Which is the nearest to v? (a) s (b) 2/65 (c) 0.3
b
Let l = -13580 - -13568. Which is the nearest to -1/2? (a) l (b) -10 (c) 0
c
Let o = -262 - -261.9. Suppose -2*k + 8 = 4*s, -7*s + 4*k = -3*s + 4. What is the nearest to o in -5, -13/2, s?
s
Let q = 221 - 223. Suppose -33*f = -29*f - 12. Which is the closest to q? (a) -15/7 (b) -2/5 (c) f
a
Let g = 0.4067 - -0.0933. What is the nearest to -5 in 0.2, g, -0.3, 4?
-0.3
Let h = -66/499 - 404/4491. What is the nearest to 3/7 in -5, -25, h?
h
Let b = -27 - -27.6. Let s = b + 1.4. Let n = -2769 + 2794. What is the closest to n in -0.1, -1, s?
s
Suppose 5*n = -4*g - 53, -2*g + 5*n + 2 = 21. Let l = 37 + -37.2. Let d = 5.2 + l. What is the nearest to -2/5 in 0.5, d, g?
0.5
Let m = 429.7 + -429.5. Let f be 5/(-20) + (-1)/(-2). Which is the nearest to 0? (a) f (b) m (c) -2 (d) 0
d
Let g = 3274 - 3277. What is the nearest to 0 in 2, 0.22, g?
0.22
Let n = -7628.5 - -7628. Let r = 6 - 5.93. What is the closest to 0 in 0.1, n, r?
r
Let p = 4025.5 - 4025. Which is the closest to -37? (a) p (b) -5 (c) 3/5 (d) 0.1
b
Let p(g) = -g**3 - 11*g**2 - 15*g - 52. Let k be p(-10). Let f = -0.44 + 0.04. Let n(q) = q - 3. Let a be n(5). What is the closest to k in f, 5, a?
f
Let s = 124.09 + -124.19. What is the closest to -6 in 2/3, s, -0.2, -6/13?
-6/13
Let f = 3.607 - -0.093. Let w = 101 + -105. Let d = w + f. What is the closest to -2 in 0, d, 1?
d
Let q = 169 + -302. Let t = 134 + q. Which is the closest to t? (a) 2 (b) 0.15 (c) -2
b
Let l be (-270)/(-15) + (-3100)/175. Which is the nearest to -4? (a) 2/9 (b) l (c) 7
a
Let l = 583 + | {
"pile_set_name": "DM Mathematics"
} |
4. Let m(l) = 5*l**2 + 3*l - 3. Let b = -12 - -16. Let w(d) = b*m(d) - 3*j(d). Let p(f) = f. Determine w(p(q)).
2*q**2
Let p(d) be the second derivative of 19*d**3/6 - 5*d - 52. Let b(m) = 31*m - 1. Calculate p(b(w)).
589*w - 19
Let z = 131 - 122. Let h(t) = 2*t - 4*t + 16*t - z*t. Let b(i) = -6*i. What is b(h(w))?
-30*w
Let m(o) = -16*o. Let a(w) = w**2 - 7*w + 13. Let h be a(6). Let d be -4*((-7)/2)/h. Let q(l) = d*l**2 - 2*l**2 + 3*l**2 - 2*l**2. Give m(q(x)).
-16*x**2
Let a(w) = 13*w + 38*w - 84*w + 33*w - 9*w**2. Let b(u) be the third derivative of -u**5/20 - u**2. Give b(a(c)).
-243*c**4
Let t(o) = -4*o**2. Let m(h) = -h**3 + 3*h**2 + 5*h + 2. Let a be m(-2). Let i = a + -10. Let k(c) = 2*c**2 + c**2 - i*c**2. Determine t(k(b)).
-4*b**4
Let u(x) be the second derivative of -x**3/2 + x. Let l(k) be the third derivative of 0*k + 5*k**2 + 0*k**3 + 0 - 1/24*k**4. Calculate u(l(v)).
3*v
Let x(y) = -2*y. Let g(c) be the third derivative of -c**5/20 - 185*c**2. Determine x(g(z)).
6*z**2
Suppose l + 3*l - 20 = 0. Let t(w) be the first derivative of -l*w**3 + w**3 - w**3 - 5 - w**3. Let n(h) = h. Calculate n(t(q)).
-18*q**2
Let i(z) = z**2. Let d(t) be the first derivative of -21*t**2/2 - 2*t + 402. Calculate d(i(c)).
-21*c**2 - 2
Let d(i) = 403*i - 205*i - 202*i. Let w(x) = 21*x. Calculate d(w(v)).
-84*v
Let f(r) = -4*r - 6. Let j be f(-2). Let k(n) = -54*n**j - 2 + 2 + 56*n**2. Let s(i) = 0 + 11*i + 0. Give k(s(x)).
242*x**2
Let w(r) = 6*r. Let q(i) = i. Let v(y) = 39*q(y) - 6*w(y). Let s(a) = -a**2 + 10*a + 3. Let m be s(10). Let u(h) = 3 + h - m. Calculate v(u(b)).
3*b
Let s(x) = 18*x - 23*x - 27*x. Let m(n) = n - 1. Let d(w) = -10*w + 11. Let g(a) = 2*d(a) + 22*m(a). Determine s(g(t)).
-64*t
Let s(n) be the third derivative of 0*n**3 - 23*n**2 + 0*n**4 + 0*n + 1/60*n**5 + 0. Let y(f) = f - 4. Determine s(y(t)).
t**2 - 8*t + 16
Let v(y) = -59*y**2. Let h(g) = -2*g + 1. Let k(x) = -11*x + 4. Let l(a) = 4*h(a) - k(a). Give v(l(p)).
-531*p**2
Let r(x) = x. Suppose -f = 3*h - 12, -4*h = -f - 3*f - 32. Let n = 9 - h. Let w(q) = -6 + 6 - n*q. Determine r(w(a)).
-4*a
Let j(l) = 14*l + 5*l + 12*l - 32*l. Let s(d) = -115*d. What is s(j(f))?
115*f
Let i(f) = -7*f**2. Let o(s) = -84 + 46 + 39. Let t(r) = r - 5. Let q(y) = 5*o(y) + t(y). What is i(q(b))?
-7*b**2
Let j(p) be the second derivative of 0*p**2 - 1/3*p**3 + p + 0. Let s(h) = 16*h**2 - 40*h**2 - 42 - 43 + 85. Give s(j(u)).
-96*u**2
Let p(n) = 2*n**2. Let h(b) = 3*b**2 - 216*b + 10. Calculate h(p(u)).
12*u**4 - 432*u**2 + 10
Let v(f) = 6*f**2. Let z(y) = 38*y**2 - 17*y**2 - 3*y**2. What is z(v(u))?
648*u**4
Let a(o) = 13*o**2. Let c(m) be the third derivative of -m**6/360 - 5*m**3/2 + 9*m**2. Let n(r) be the first derivative of c(r). Determine n(a(b)).
-169*b**4
Let n(m) = -33*m - 8*m + 12*m. Let t(x) = x**2. Give t(n(d)).
841*d**2
Suppose -14*l + 10*l = -60. Let u(v) = -v - 15*v - l*v. Let a(c) = c**2. Calculate a(u(s)).
961*s**2
Let d be (-5)/(-7 - -2) - -8. Let z(t) = -9 + 2 + d*t + 7. Let v(y) = 2*y**2. Determine v(z(n)).
162*n**2
Let b(j) = -2*j. Let a(i) = -4*i**2 + 7*i**2 + 6*i - 3*i - 2*i**2. Let q(t) = 4*t**2 + 16*t. Let o(r) = 16*a(r) - 3*q(r). Give b(o(f)).
-8*f**2
Let j(h) = -23*h. Let r(n) = 3 + 44*n - 58*n - 3 + 25*n. Determine r(j(t)).
-253*t
Let y(f) = -f**2. Let w(i) be the second derivative of -1813*i**4/12 - 570*i. Calculate w(y(m)).
-1813*m**4
Let j(l) = -14*l**2. Let r(h) = 7*h**2 - 19*h**2 + 6*h**2. What is r(j(u))?
-1176*u**4
Let i(s) = -7*s**2. Let y = -8 - -10. Let q(g) = 2*g**2 - 5*g**y + 4*g**2. Calculate i(q(h)).
-7*h**4
Let m(i) = 6*i. Let y(c) = 40602*c. Calculate m(y(f)).
243612*f
Let i(m) = -4*m**2. Let h(n) = -2*n**2. Let l(u) = 7*h(u) - 4*i(u). Let r(c) be the first derivative of 49*c**2/2 + 2*c + 1708. Give r(l(q)).
98*q**2 + 2
Let l(r) = -91*r**2 - 10 - 89*r**2 + 0 + 176*r**2. Let g(k) = 4*k. Calculate g(l(x)).
-16*x**2 - 40
Let r(x) be the first derivative of 0*x - 1 + 5/2*x**2. Let f(j) = -j**2 + 6. Let y(u) = -1. Let b(i) = -f(i) - 6*y(i). Give r(b(t)).
5*t**2
Let o(x) = -4*x - 226. Let q(g) = -97*g. What is q(o(y))?
388*y + 21922
Let w(m) = 8*m**2. Let v(a) = a. Let o(s) = 6*s. Let c(i) = 3*o(i) - 14*v(i). Suppose -2 - 6 = y. Let z(t) = 6*t. Let n(l) = y*c(l) + 5*z(l). Determine n(w(h)).
-16*h**2
Let o = 126 + -124. Let s(h) = -92*h + 2*h**2 + 92*h + 7*h**o. Let b(j) = 5*j. Give b(s(l)).
45*l**2
Let m(f) = -194*f + 4. Let x(n) = 120*n**2. Determine x(m(r)).
4516320*r**2 - 186240*r + 1920
Let w(g) = -25*g**2. Let j(t) = 3482*t - 4. What is j(w(a))?
-87050*a**2 - 4
Let u(n) = -44695*n. Let c(l) = l. Give c(u(z)).
-44695*z
Let d(r) = 2*r. Let a = 642 - 629. Let s(p) be the third derivative of 1/24*p**4 + 0*p + 0*p**3 + a*p**2 + 0. Calculate d(s(h)).
2*h
Let l(h) = -17*h. Let k(w) = 1235*w. Give l(k(o)).
-20995*o
Let k be (14/(-6))/(4/(-12)). Let o(v) = -4 + 5 + k*v**2 - 1. Let z(q) = -4 + 2*q + 4. Determine o(z(r)).
28*r**2
Let t(q) be the third derivative of 7*q**4/24 - q**2. Let g(v) = 6*v + 8*v - 28*v + 14*v - v**2. Determine t(g(k)).
-7*k**2
Let h(s) = -315101*s. Let q(f) = -3*f**2. Determine h(q(n)).
945303*n**2
Let s(r) = 9*r**2 - 4. Let a(d) = -30*d**2 - 52. What is s(a(x))?
8100*x**4 + 28080*x**2 + 24332
Let i(r) = 9*r. Let v(z) = -3*z. Let f(c) = 6*i(c) + 17*v(c). Let n(l) = l - 2. Let a(k) = 8*k + 14. Let p(d) = 2*a(d) + 14*n(d). Give f(p(b)).
90*b
Let k(o) be the first derivative of 0*o + 0*o**2 + 41 + 5/3*o**3. Let y(z) = -3 + 3 - 3*z. Determine y(k(w)).
-15*w**2
Let a(y) = 2166*y. Let t(z) = 51*z. Calculate t(a(i)).
110466*i
Let k(r) be the first derivative of -r**2/2 - 59. Let s(w) = 4*w + 13. Let y(c) = -c - 3. Let u(a) = 6*s(a) + 26*y(a). Determine u(k(v)).
2*v
Let k(o) = -19*o - 64. Let m(s) = -3*s. What is m(k(c))?
57*c + 192
Let j(i) = 10*i**2. Let p(o) = 2*o - 4. Let v be p(3). Let z(k) = -2143 + 2143 + 3*k**v. Calculate j(z(t)).
90*t**4
Let x(d) = -16*d - 33. Let u(b) = 3*b + 6. Let h(a) = 11*u(a) + 2*x(a). Let j(r) be the third derivative of r**5/12 - 6*r**2. Calculate h(j(k)).
5*k**2
Let f(d) = -11*d. Suppose -2*h = 2, 0 = 5*q - 4*h + 2*h + 33. Let s(u) = 3*u - 7. Let g(r) = 2*r - 4. Let p(k) = q*g(k) + 4*s(k). Give p(f(b)).
22*b
Let t(z) be the second derivative of 7*z**4/12 - 5*z**3/3 + 154*z. Let v(j) = -j. What is v(t(k))?
-7*k**2 + 10*k
Let w(p) = -11*p. Let o(n) = 334*n. Determine w(o(c)).
-3674*c
Let p(m) = -20*m**2. Let r(j) be the third derivative of j**8/20160 + j**5/6 + j**2. Let d(y) be the third derivative of r(y). Determine d(p(a)).
400*a**4
Let k(x) be the third derivative of -x**5/60 + 2*x**3/3 + 26*x**2. Let v(q) = q**2 - 3. Let b(n) = 3*k(n) + 4*v(n). Let d(h) = -16*h**2. What is d(b(a))?
-16*a**4
Let t(c) = c. Suppose 5*u + 0*a + 86 = -a, 0 = 3*u - 5*a + 46. Let z = 23 + u. Let h(l) = -206 - z*l + 206. Give h(t(m)).
-6*m
Let z(u) = -117871*u. Let f(h) = -h. Determine z(f(j)).
117871*j
Let w = -22 - -24. Let g(q) = -205*q - 2*q**w + 205*q. Let c(s) = -s**2. Determine g(c(r)).
-2*r**4
Let c(q) = 5*q. Let a(v) = -4*v + 2. Let w(r) be the second derivative of 0 - 7*r - 17/6*r**3 + 9/2*r**2. Let n(u) = 9*a(u) - 2*w(u). What is c(n(t))?
-10*t
Let u(k) = -2*k**2 - 45*k. Let g(i) be the second derivative of -i**4/4 + 251*i. What is u(g(x))?
-18*x**4 + 135*x**2
Let u(m) = 39*m. Let i(o) be the second derivative of -o**4/6 + 105*o. Give u(i(x)).
-78*x**2
Suppose 0 = -9*l + 3*l. Let p(u) = -6 + 20*u**2 + 6 + l. Let f(b) = -2*b**2. Give f(p(h)).
-800*h**4
Let s(q) be the third derivative of q**5/20 + 9*q**2 + 3*q. Let u(h) = 22*h. Give u(s(d)).
66*d**2
Let y(t) = -t. Let z(n) = -n**2 + 4*n - 1. Let p be z(3). Let i(h) = 2 - 4*h - p + h. Give i(y(m)).
3*m
Let w(d) = -78*d + 216. Let g(o) = 2*o - 6. Let r(q) = 36*g(q) + w(q). Let b(x) = 147*x - 1. What is r(b(c))?
-882*c + 6
Let v(h) = 1268350*h. Let n(o) = -o**2. Give v(n(i)).
-1268350*i**2
Let w(u) = 22*u**2 - 7*u**2 - 3*u**2 - 10*u**2. Let z(c) = 30*c. Give w(z(t)).
1800*t**2
Let b(q) = 2*q + 330. Let y(u) = 1303*u**2 - 2617*u**2 + 1313*u**2. What is y(b(m))?
-4*m**2 - 1320*m - 108900
Let m(y) = 599*y**2. Let c(s) = 1622*s**2 - 814*s**2 - 810*s**2. What is c(m(w))?
-717602*w**4
Let b(t) = -5132*t. Let r(f) = 4*f. Determine b(r(q)).
-20528*q
Let x(h) = 4*h. Let b(s) = 152*s | {
"pile_set_name": "DM Mathematics"
} |
ctors of 87500556.
2, 3, 11, 13, 23, 739
What are the prime factors of 32728312?
2, 31, 131969
List the prime factors of 342362288.
2, 47, 455269
What are the prime factors of 1014526271?
11, 293, 314777
What are the prime factors of 2652758782?
2, 1326379391
What are the prime factors of 737509270?
2, 5, 107, 689261
What are the prime factors of 467013187?
29, 555307
What are the prime factors of 17228450?
2, 5, 587
What are the prime factors of 62504194?
2, 31252097
What are the prime factors of 517003739?
7, 73, 1011749
List the prime factors of 2618664956.
2, 654666239
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2, 3, 5, 2055829
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2, 383238301
What are the prime factors of 35201790?
2, 3, 5, 13, 3343
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2, 41, 199
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156490687
What are the prime factors of 2880286?
2, 19, 75797
What are the prime factors of 73803903?
3, 24601301
List the prime factors of 36335970.
2, 3, 5, 11, 17, 127
What are the prime factors of 2114939345?
5, 422987869
List the prime factors of 1130308076.
2, 47, 59, 181, 563
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2411, 135697
What are the prime factors of 534358667?
53, 773, 13043
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5, 7, 1597, 5227
What are the prime factors of 623236670?
2, 5, 7, 19, 468599
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7, 883, 1747
What are the prime factors of 166160372?
2, 7, 23, 29, 31, 41
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2, 37, 3576031
What are the prime factors of 155269338?
2, 3, 7, 528127
What are the prime factors of 574564699?
9949, 57751
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3, 71, 691, 11047
What are the prime factors of 87621888?
2, 3, 271, 421
What are the prime factors of 212788310?
2, 5, 7, 3039833
What are the prime factors of 2041682956?
2, 2333, 218783
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2, 82893583
What are the prime factors of 2800929067?
2800929067
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2, 503, 8971
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2, 3, 7, 41, 39343
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2, 73, 953, 8753
What are the prime factors of 16618744?
2, 2077343
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2, 11, 212827
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2, 37, 157, 2069
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31, 1798519
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2, 5, 3187, 13879
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2, 5, 7, 16963
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3, 5, 37, 87793
What are the prime factors of 474876341?
474876341
What are the prime factors of 334012006?
2, 2777, 60139
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2, 3, 37, 79, 1423
What are the prime factors of 1993670?
2, 5, 7, 19, 1499
What are the prime factors of 2194137298?
2, 1097068649
What are the prime factors of 50632160?
2, 5, 47, 6733
List the prime factors of 1223702645.
5, 11, 2022649
What are the prime factors of 2471210803?
389, 1097, 5791
What are the prime factors of 466979954?
2, 7, 3719, 8969
List the prime factors of 15845710.
2, 5, 1584571
What are the prime factors of 2309523556?
2, 577380889
What are the prime factors of 147172013?
29, 5074897
What are the prime factors of 158556408?
2, 3, 647, 10211
What are the prime factors of 26289138?
2, 3, 23, 29, 6569
What are the prime factors of 449851736?
2, 6703, 8389
What are the prime factors of 129969330?
2, 3, 5, 59, 97, 757
What are the prime factors of 8245300360?
2, 5, 11, 23, 73, 11161
What are the prime factors of 463389944?
2, 17, 3407279
List the prime factors of 342266625.
3, 5, 307, 991
List the prime factors of 255751320.
2, 3, 5, 11, 193751
List the prime factors of 21373990.
2, 5, 11, 194309
What are the prime factors of 1480389007?
9343, 158449
What are the prime factors of 464383865?
5, 11, 131, 64453
List the prime factors of 106371767.
373, 285179
What are the prime factors of 184337108?
2, 29, 37, 1481
List the prime factors of 39569644.
2, 127, 77893
What are the prime factors of 93234240?
2, 3, 5, 11, 109
List the prime factors of 312932370.
2, 3, 5, 439, 23761
List the prime factors of 1586009058.
2, 3, 264334843
List the prime factors of 2993057668.
2, 113, 6621809
What are the prime factors of 34061800?
2, 5, 73, 2333
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2, 5, 7, 227, 593
List the prime factors of 56366389.
56366389
What are the prime factors of 1087111159?
181, 1867, 3217
List the prime factors of 28017174.
2, 3, 23, 203023
List the prime factors of 32574218.
2, 16287109
What are the prime factors of 32429490?
2, 3, 5, 1080983
What are the prime factors of 67477513?
41, 127, 12959
List the prime factors of 556423107.
3, 17, 23, 474359
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2, 5, 36639997
List the prime factors of 237835647.
3, 7, 3775169
What are the prime factors of 18037607?
7, 2576801
List the prime factors of 4743104.
2, 37, 2003
What are the prime factors of 38220975?
3, 5, 13, 73, 179
What are the prime factors of 1499442084?
2, 3, 7, 1983389
What are the prime factors of 1256063454?
2, 3, 41, 43, 39581
What are the prime factors of 1065599157?
3, 7, 751, 67567
What are the prime factors of 210713876?
2, 19, 97, 101, 283
List the prime factors of 690997700.
2, 5, 19, 363683
List the prime factors of 157890408.
2, 3, 13, 463, 1093
List the prime factors of 79906326.
2, 3, 13317721
List the prime factors of 545475290.
2, 5, 54547529
What are the prime factors of 1176331607?
11, 43, 149, 16691
What are the prime factors of 5231400?
2, 3, 5, 8719
List the prime factors of 236105360.
2, 5, 73, 40429
List the prime factors of 27581627.
27581627
List the prime factors of 138116976.
2, 3, 17, 193, 877
List the prime factors of 124900181.
7, 17842883
List the prime factors of 93423792.
2, 3, 7, 11, 23, 157
What are the prime factors of 541082935?
5, 23, 73, 64453
List the prime factors of 26555131.
353, 75227
What are the prime factors of 157949562?
2, 3, 97, 223, 1217
List the prime factors of 109881491.
167, 657973
What are the prime factors of 576957067?
17, 97, 439, 797
What are the prime factors of 455333422?
2, 227666711
What are the prime factors of 1271434353?
3, 7, 5387, 11239
What are the prime factors of 5832189824?
2, 37, 1231459
List the prime factors of 43789224.
2, 3, 19, 109, 881
List the prime factors of 3075072598.
2, 13, 118272023
List the prime factors of 1634382604.
2, 408595651
List the prime factors of 217387650.
2, 3, 5, 433, 3347
List the prime factors of 463623048.
2, 3, 7, 17, 1061
What are the prime factors of 382217880?
2, 3, 5, 11, 289559
What are the prime factors of 481807523?
17, 41, 463, 1493
List the prime factors of 147440844.
2, 3, 1365193
What are the prime factors of 3262662?
2, 3, 13, 73, 191
List the prime factors of 4785876108.
2, 3, 13, 17, 601543
What are the prime factors of 100057681?
100057681
List the prime factors of 33145904.
2, 11, 47, 4007
List the prime factors of 216583391.
31, 229, 30509
What are the prime factors of 164398706?
2, 127, 733, 883
What are the prime factors of 2075717627?
2377, 873251
What are the prime factors of 64161736?
2, 2467, 3251
List the prime factors of 120595850.
2, 5, 19, 126943
List the prime factors of 1482276407.
157, 2551, 3701
What are the prime factors of 496999611?
3, 18407393
List the prime factors of 697427036.
2, 71, 2455729
What are the prime factors of 1604205026?
2, 802102513
What are the prime factors of 3896746634?
2, 11, 3623, 48889
List the prime factors of 3216060420.
2, 3, 5, 53601007
List the prime factors of 1472681017.
1472681017
List the prime factors of 200154684.
2, 3, 257, 64901
List the prime factors of 148104617.
3623, 40879
What are the prime factors of 49874052?
2, 3, 499, 8329
List the prime factors of 81396675.
3, 5, 361763
What are the prime factors of 56356563?
3, 157, 119653
List the prime factors of 33083542.
2, 59, 181, 1549
List the prime factors of 160932825.
3, 5, 59, 449
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3, 13, 23, 269, 1511
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2, 287156839
What are the prime factors of 3112534368?
2, 3, 10807411
What are the prime factors of 54685775?
5, 79, 27689
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2, 19, 31, 89, 14437
What are the prime factors of 145743049?
71, 401, 5119
What are the prime factors of 261219511?
7 | {
"pile_set_name": "DM Mathematics"
} |
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