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, -8 = -2*l + 5*k - 2. Let o = 1 - l. Suppose -4*u + 5 = -h - 2, -4*u = o*h - 27. Which is smaller: 2 or u?
2
Suppose 0 = 3*b - 2*q - 91, -3*q = 2*q - 5. Let d = b - 31. Is -1/126 less than or equal to d?
True
Let x = -2 + 4. Suppose 4*j - 8 = -2*b, -3*b - x*b = 4*j - 2. Let s be 33/(-84) - j/(-21). Which is greater: 3 or s?
3
Let t be 34 + 1 + -6 + 8. Which is greater: t or 47?
47
Let s be ((-1370)/15)/(((-8)/(-6))/1). Are -70 and s unequal?
True
Let t = -360 + 371. Suppose -5*b + 6*g = g - 40, 9 = -3*g. Suppose -4*x = -6*x - b*u + 32, 63 = 5*x + 4*u. Are t and x nonequal?
False
Let b(m) = -7*m + 11. Let q be b(5). Let o be ((-93)/(-4))/(q/(-64)). Let l = o + -184/3. Is l at most as big as 0.3?
False
Let u be 2*-2*(-16)/(-32). Let t be (0 + 2)/u*(6 + -8). Which is greater: -4 or t?
t
Let r = -6/101 + -35/1111. Let v be -4 - -3 - -1*1. Let s = r - v. Which is bigger: s or 1?
1
Let j be 4647/4641 + (-4)/2 - -1. Is -1 at least j?
False
Suppose 4*f + 12 = -t - 0, t + 10 = -3*f. Is -112/3 equal to f?
False
Let d = -2 - -3. Let g be ((-5)/(-2)*(-8)/(-5))/46. Which is smaller: g or d?
g
Let q = 0.713 - 0.75. Let s = -0.437 - q. Which is bigger: -4 or s?
s
Let s be 1/1*55 - (-2 + 1). Which is smaller: s or 0.2?
0.2
Suppose 4 = -44*w + 40*w. Suppose 0 = -3*j + 2*h - 6*h - 3, -3*j + 5*h + 24 = 0. Suppose j*y = y + 4. Which is bigger: y or w?
y
Let p = 2.05 - 0.05. Let q = -0.238 + 0.298. Which is bigger: q or p?
p
Let p(o) be the third derivative of o**5/60 - 2*o**4/3 - 8*o**3/3 + 4*o**2. Let m be p(17). Is 6/5 >= m?
True
Let i = 1.3 + 2.7. Let m = 4 + i. Does 0.2 = m?
False
Suppose 0 = 3*t - k - k - 91, 4 = 4*k. Let l = t + -106/3. Is -5 < l?
True
Let g(y) = y**2 + 20*y - 4. Let l be g(-12). Let x = 301/3 + l. Are x and 1 nonequal?
True
Let c = -940 + 1841/2. Let m = -260 - -241. Are m and c equal?
False
Suppose 269 = 12*p + 77. Is -2 at most as big as p?
True
Suppose -x = 4*x + 200. Let s be 48/x*5/(-2). Let o be -4*4/(-168)*s. Which is smaller: o or -0.4?
-0.4
Let m = 563 - 563. Are m and 2/153 equal?
False
Let b(y) = -3*y**2 + 5*y - 23. Let v be b(7). Which is bigger: -137 or v?
v
Let p(c) = c**3 - 5*c**2 + 4*c - 3. Let j be p(4). Suppose -32*n - 82 = 78. Is n < j?
True
Let v be (-3 - 10/(-12)*4)*3. Suppose 2*o - 2 = -k, -2*o + 3*o - v = 5*k. Which is smaller: k or 4/17?
k
Let l(w) = 5*w**3 - 13 + 7*w**2 - 6*w**3 + 14*w + 5*w**2. Let k be l(13). Which is smaller: 12/19 or k?
k
Let h = -2669 + 2668. Let w be 66/(-15) - 2*-1. Which is smaller: h or w?
w
Let w = 126 + -501/4. Let i = 4.13 - 4. Let r = i - 3.13. Is w at least as big as r?
True
Suppose -3*b + 23 = t, -136*b + 132*b + 35 = -3*t. Do 20/3 and b have different values?
True
Let r be 48/(-26) + 6/(-39). Let z be 5/(-2)*(-116)/(-145). Is z != r?
False
Let c = 30181/6 - 5046. Are c and -15 nonequal?
True
Let f = -57 + 107. Suppose -2*h + f = 4*c, 3*h - 50 = -2*c + c. Is 15 at least h?
True
Suppose -885 = 3*g + 2*g. Let c = 1237/7 + g. Do 1 and c have different values?
True
Let o(h) be the second derivative of -h**4/6 - 2*h**3 + 15*h**2/2 + 20*h. Let i be o(-7). Let a = 3 - 1. Is a at most i?
False
Let a = -2 - 5. Suppose -5*i - 29 = 3*r, 5*r + i = 4*i - 37. Let b = r - a. Which is smaller: -2/23 or b?
b
Let p be (-2)/((2 - -6) + -6). Is -18/23 smaller than p?
False
Let j = -265 + 266. Which is smaller: j or 1.7?
j
Let m = 40 - 39. Is m equal to -1/2032?
False
Suppose 0 = -2*t + 4, -s - 198 = 2*t - t. Is s bigger than -197?
False
Let t be 3/2 + (-5 - 20462/92). Let u = t - -226. Let k be (-4)/10 - (-2)/5. Is u at most as big as k?
False
Let s = 59 - -78. Suppose y = 5*i + 135, i - s = 5*i + 5*y. Let z be i/(-315)*(-6 - -1). Do 0 and z have the same value?
False
Suppose -b = -5*o + 12, 3*b = 6*b + 4*o - 40. Which is greater: 18 or b?
18
Suppose 0 = -t + 3 - 0. Let m = 58.2 + -54. Let z = 3.9 - m. Which is greater: z or t?
t
Let z be (-2)/8 - (-91)/60. Let a = -33613/9 + 3864094/1035. Let b = z + a. Is b < 0?
True
Let u be 1/((-4)/(-124)) + -1. Let a be 10/u + 4/(-6). Which is greater: a or 8?
8
Suppose z = -0*z + 8. Let v(w) = w**2 - 10*w - 5. Let o be v(11). Let r be o/(-27) + z/(-18). Which is smaller: -2 or r?
-2
Suppose 2*g = -12*j + 10*j + 160, -j - 220 = -3*g. Which is bigger: 78 or g?
78
Suppose u + 3 - 5 = 0. Let y(s) = -s**2 + 51*s - 140. Let c be y(3). Which is bigger: u or c?
c
Let o be 252 - (0 - -8)*(-5)/(-20). Is -2/5 greater than or equal to o?
False
Let u = -22 + 39. Let y = -6 + -11. Let p = u + y. Which is smaller:
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 123. Let m be z(4). What is m rounded to the nearest one hundred?
1000
Let t = -47 - -32. Let u be (-2)/(-5) + (0 - 6084/t). Round u to the nearest one hundred.
400
Let n = 335 + -335.00728. Round n to three dps.
-0.007
Let u = 25 - 21. Let b be -4296 + 0 + (-16)/u. What is b rounded to the nearest 1000?
-4000
Let g = -8 - -10. Let w(f) = f**2 - 2*f - 5. Let v be w(4). Suppose g*u - v*u = 7900000. Round u to the nearest 1000000.
-8000000
Let v(a) = -1751271*a + 3. Let b be v(-1). Suppose -72726 = -6*k + b. What is k rounded to the nearest ten thousand?
300000
Let q = 149436 - 26795. Let w be q - 3 - 0/(-1). Let d = 191638 - w. Round d to the nearest 10000.
70000
Let l = -51.1 + 60.56. Round l to zero dps.
9
Let h = 85637.69 - 86326. Let n = 682 + h. Let v = n - 0.09. What is v rounded to the nearest integer?
-6
Let b = -29 + 31.6. Let p = -30 - -32.65. Let u = p - b. What is u rounded to 2 decimal places?
0.05
Let w = 47 - 24. Let h = w - 23.01. What is h rounded to one dp?
0
Let m be -3839 - -67 - (8 - 0). What is m rounded to the nearest 1000?
-4000
Let a = -0.049 + 0.949. Let u = a + -0.55. What is u rounded to one decimal place?
0.4
Suppose 8 = -t + 2*t - 2*w, -5*t = 3*w - 1. Suppose p = t*p - 6200000. What is p rounded to the nearest 1000000?
6000000
Let g = -6.7 - 5.38. What is g rounded to zero dps?
-12
Let g = 207.4306 - 216.4306115. Let z = 0.4 + 8.6. Let i = g + z. What is i rounded to 6 dps?
-0.000012
Let x(r) = r - 12. Let w = -30 + 42. Let z be x(w). Suppose z = 3*q + 619887 - 19887. Round q to the nearest 100000.
-200000
Suppose -3*i - 15 = -0*i. Let m(v) be the first derivative of -27*v**4/4 + v**3/3 + v**2/2 + 5*v - 99. Let t be m(i). Round t to the nearest 1000.
3000
Let h = 20 - 22. Let s be -2 + (h/7 - 13062096/(-42)). What is s rounded to the nearest ten thousand?
310000
Let r = -2482050 + 4405050. What is r rounded to the nearest one hundred thousand?
1900000
Let j be -3*5/15*0. Suppose -24*y + 32*y - 824 = j. Round y to the nearest ten.
100
Let i = 45 + 177. Let m = -314 + i. Let y = m - -91.9999933. What is y rounded to 6 decimal places?
-0.000007
Let c = -68 + 60.98. Let t = c + 0.02. Let g = t + 7.00000017. What is g rounded to seven decimal places?
0.0000002
Suppose -112953 = 2*n - 12953. What is n rounded to the nearest ten thousand?
-50000
Let u = 7708834629 + -7708834601.000000296. Let a = -28 + u. What is a rounded to 7 decimal places?
-0.0000003
Let j = -335 - -333.55. Round j to the nearest integer.
-1
Let l = -4.98635 + 5. Round l to four decimal places.
0.0137
Suppose 50 = -5*r - 5*c, 2*c + 10 = 4*c. Let p(y) = -26*y**3 + 19*y**2 - y - 40. Let l be p(r). Round l to the nearest 10000.
90000
Let z = -1134.008 + 1134. What is z rounded to three dps?
-0.008
Let m = -312.284 - 0.716. Let g = 313.000191 + m. What is g rounded to 5 dps?
0.00019
Suppose s + h = -0*s + 9, -4*h = -20. Suppose -10*w = s*w + 3528000. Round w to the nearest 100000.
-300000
Let v = -0.58 + -98.42. Let t = -99.58 - v. What is t rounded to 1 dp?
-0.6
Let n = -3238 - -2468. Round n to the nearest 1000.
-1000
Let x = -18.49 + 0.39. Let c = 1.1 + x. Let p = 16.999989 + c. Round p to five dps.
-0.00001
Let l = 24803 + -24802.67986. Let j = l - 0.32. Round j to five dps.
0.00014
Let r = -294058 + 294073.9927. Let h = -11 - -27. Let d = h - r. Round d to three dps.
0.007
Suppose 0 = -0*x + 4*x + 4. Let o be (x + -5)/((-8)/4). Suppose -4*y + o*d + 159980 = -d, d + 159995 = 4*y. What is y rounded to the nearest 100000?
0
Let b = 5778 + 8849. Let p = 2027 - b. Round p to the nearest 1000.
-13000
Let o = 35 - 34.8. Let q = o + -0.25. What is q rounded to one decimal place?
-0.1
Let a = 7409.43 + -7375. Let x = 34 - a. What is x rounded to 2 decimal places?
-0.43
Let i = 876 + -3216. Round i to the nearest 1000.
-2000
Let b = -0.96 + 1.26. Let h = b + -3.84. What is h rounded to 1 dp?
-3.5
Let y = -261 + 410. Let p = 148.856077 + 0.226923. Let z = p - y. Round z to two decimal places.
0.08
Let g = -0.05 + 56.05. Let o = g + -51.4. What is o rounded to zero dps?
5
Let s = 12115 - 12179.99. What is s rounded to the nearest integer?
-65
Let q = -122.97 - -1793.77. Round q to the nearest ten.
1670
Let b = -25.74002133 + 25.74. What is b rounded to 5 decimal places?
-0.00002
Let g = -885.003955 - -885. Round g to 4 dps.
-0.004
Let u = -11 - -10. Let s(n) = -1490*n - 1. Let b be s(u). Let z = b - -6511. What is z rounded to the nearest 1000?
8000
Let t = -421 - -337.37. Let n = 52.1 + t. Let b = 33 + n. What is b rounded to 1 dp?
1.5
Let a = 238 + -132. Let o = a + -60. Let x = o - 46.00000051. What is x rounded to seven dps?
-0.0000005
Let x = -2086.9 - -1929. Round x to the nearest ten.
-160
Let h = 941.2016 + -941. What is h rounded to two decimal places?
0.2
Let w = -111 - -205. Let n = w + -159. Let p = n - -65.000043. What is p rounded to 5 dps?
0.00004
Suppose 87*x - 79*x + 366240 = 0. Round x to the nearest 10000.
-50000
Let m(g) = -4*g**3 - 11*g**2 - 10. Let j(y) = -y**2 + y - 1. Let x(b) = j(b) - m(b
|
{
"pile_set_name": "DM Mathematics"
}
|
*f = -5 for g.
-5
Solve 0*p + 35 = -4*p - 3*v, -3*v - 30 = 3*p for p.
-5
Solve y = -2*s, -4*y + 0 = 4*s - 4 for y.
2
Solve 4*u - 3*u - 5 = 4*h, -1 = 4*u + 5*h for u.
1
Solve i - a = -27 + 35, 0 = 2*i + 4*a + 2 for i.
5
Solve -2 = 2*r, -3*a - a - r - 9 = 0 for a.
-2
Solve 4*w - 3*p + 24 = p, -w - 2 = 3*p for w.
-5
Solve -3*h = -5*n - 11 - 1, 0 = 4*h - n + 1 for h.
-1
Solve 5*v - 5 = -5*q, 2*q + 3*v - 5 = -1 for q.
-1
Solve 2*u + 16 = 2*v, -3*u + 23 = 38 for v.
3
Solve -2*q = -q - 3*j - 10, 0 = -2*q + 2*j for q.
-5
Solve -p - 2*n + 2 = 0, 4*p + 5*n - 2 = -0*p for p.
-2
Solve 4*p - 5*g + 21 = -19, 0 = 4*p + 5*g for p.
-5
Solve -3*j = 3*m + 21, -2*m + 30 = -4*j + 14 for j.
-5
Solve -f + 0*u = -5*u - 20, -2*u - 31 = -5*f for f.
5
Solve 4*p = -3*h - 10, -p - 3*h = 6 + 1 for p.
-1
Solve -2*k = -g - 13, 2*g - 208*k = -203*k - 30 for g.
-5
Solve 13*c = 2*v + 17*c + 14, 0 = -c - 3 for v.
-1
Solve -15 = -3*g, -5*i - g = 12 - 7 for i.
-2
Solve 2*o + 10 = 2*m, 3*o + 2*m + 5 = -5 for o.
-4
Solve 3*m - 6 = -3*v, -6 = m - 9*v + 8*v for m.
-2
Solve -4*h + 4 = 5*z, z + 16 = 5*z for h.
-4
Solve 0 = -4*j + m - 49 + 28, 3*m = -3*j + 3 for j.
-4
Solve 2*g - 26 = 4*p, 2*p = -4*g + g - 1 for p.
-5
Solve -3*m = -m - l - 7, -3*m = -2*l - 9 for m.
5
Solve 0 = 4*t - 6*t + 3*u - 15, 3*t - 2*u + 15 = 0 for t.
-3
Solve -4*t = 5*b, 14*t - 2*b + 18 = 12*t for t.
-5
Solve 3 = -5*m + 3*b - 5*b, 0 = -5*m + b - 6 for m.
-1
Solve 21*m - 26*m - 28 = -j, 3*j - 2*m - 19 = 0 for j.
3
Solve 4*k = -2*w, -2*k - 15 + 23 = 3*w for k.
-2
Solve 0 = -3*h + 5*c + 14, -9*c = -13*c - 16 for h.
-2
Solve 71*d - 2*l + 12 = 73*d, -5*d - 20 = -5*l for d.
1
Solve -2*g = -6*g - 2*i, -g = 3*i + 10 for g.
2
Solve -4*y + 2*k = -3*k + 6, 5*y - k = 3 for y.
1
Solve 2*u = -3*o - 17, -5*o + 4*u - 8 + 9 = 0 for o.
-3
Solve 0 = 2*x + 4*u + 10, 92 = -5*x + 2*u + 67 for x.
-5
Solve -4*u + 45 = 5*g, 35 = -16*u + 20*u + 3*g for u.
5
Solve 4 = -3*g + 13, -3*z - g = -3 for z.
0
Solve 4*p - 7 = g, -5*g + 3*p + 0*p - 18 = 0 for g.
-3
Solve 5*k = 3*o + 9 + 1, -4*k = 4*o - 8 for o.
0
Solve -2*i - 2 = 3*v, -3*v + 17 = -2*i + 15 for i.
-1
Solve -u - 6 = u - 2*j, u - 5*j = -15 for u.
0
Solve -3*r = -3*f, -2*f - 3*r + 2*r + 15 = 0 for f.
5
Solve -4*g = u, 2*u + 527 = -3*g + 522 for g.
1
Solve 3*h - 2*o + 6 = -5*o, -h = 5*o - 10 for h.
-5
Solve -2*v = -14*h + 18*h - 2, -3*h = -2*v + 9 for v.
3
Solve -5*q + 2*v = 55, -65 = q + 4*q - 4*v for q.
-9
Solve -3*y - 4 = 2*b, -b - 6 = -3*b + 2*y for b.
1
Solve -4*l - 6 = t + 10, -l - 5 = 0 for t.
4
Solve 0 = -2*q + 2*v - 4, 0*q - 5*v - 35 = 4*q for q.
-5
Solve 9 = 5*w + r - 2*r, -4*w + 5*r = -24 for w.
1
Solve 2*v - 2*n = 2, -3*v - 5*n = 6 - 17 for v.
2
Solve -3*w = 3*t - 0*t + 12, -3*t = -4*w + 19 for t.
-5
Solve -4*r - 5*h + 6 = -26, -r - 5*h = -23 for r.
3
Solve 2*b - 6*b = 5*c + 40, b + 25 = -5*c for b.
-5
Solve q - 4*w = 8, -5*q - 5*w = 12 + 23 for q.
-4
Solve 11*s - 10*s - 3*i + 2 = 0, -7 = -4*s - 3*i for s.
1
Solve -24 = 4*d + 3*a + 7, -35 = 5*d + 3*a for d.
-4
Solve -16*u - 6 = -18*u, -s - 3*u + 4 = 0 for s.
-5
Solve -11*x = -7*x + 4*w + 4, -3 = -5*x + 3*w for x.
0
Solve 7*u - 8*u = k - 6, 5*k = 25 for u.
1
Solve 0 = -4*t - 5*z + 3, z = -t - 0*z + 1 for t.
2
Solve 5*s = -3*o - 37, 24 = 24*o - 25*o - 4*s for o.
-4
Solve 3*m - 31 = 5*r, 17*m + 4*r = 12*m - 10 for m.
2
Solve -2 = 3*v - 2*z, -6*z = -5*v - 11*z - 20 for v.
-2
Solve 2*y = h + 11, -5*h + y = 31 - 3 for h.
-5
Solve -j - 3*b = 0, 0*j + j - b = 0 for j.
0
Solve -4*v + 21 = -l, -2*l - 4 - 18 = -4*v for v.
5
Solve -3*j + 3 = 3*u, 8*j = -4
|
{
"pile_set_name": "DM Mathematics"
}
|
*t + 3. What are the prime factors of t?
29
What are the prime factors of 17/(102/(-40))*(-90 - 0)?
2, 3, 5
Suppose 4*z = 5*z + 2. Let y be z/6 + (-80)/(-24). Suppose 7 + 44 = 3*k - y*c, -34 = -2*k + 5*c. What are the prime factors of k?
17
Suppose 2*j = 38 - 30. Suppose -2*h - 3*h - 20 = 0, 3*b - 292 = j*h. What are the prime factors of b?
2, 23
Let v be 378/49 + 4/14. Suppose -v*b + 0*b = -72. List the prime factors of (-2388)/(-54) + (-2)/b.
2, 11
Let s = -3 + -1. Let z be s/14 - (-5010)/(-105). Let t = -23 - z. List the prime factors of t.
5
Let k be 18/(-12) - 2/4. Let b be (-1 - 161*k) + -3. List the prime factors of b/14 - (-2)/7.
23
Suppose 0 = 4*a - 3*f - 63, -4*a - 5*f + 56 = -f. Let j be (3 - 1) + -4 - -5. Suppose j*n + 3 = a. List the prime factors of n.
2
Let m(b) be the second derivative of b**4/12 + b**3/6 + b**2 + 5*b. Let t be m(-3). Suppose j - t = 3*g - 2, -j + 6 = g. What are the prime factors of j?
2, 3
Suppose 3*j + 50 = -i, -3*j - 91 = 2*i - 0*j. Suppose 2*w + 6*f - 177 = 3*f, 5*w - 3*f = 411. Let z = w + i. List the prime factors of z.
43
Let c = 48 - 47. What are the prime factors of ((-38)/4)/(c/(-10))?
5, 19
What are the prime factors of (153381/(-116))/((-3)/8)?
2, 41, 43
Let z(r) = r**3 - 11*r**2 + 10*r - 17. Suppose 0 = 2*j - 0*j - 4, u + 3*j = 17. List the prime factors of z(u).
3, 31
Let g be (-1848)/(-35) + 5/25. Let y = 35 + 102. Suppose -2*o = -3*x - g, 6*o - 3*x = o + y. What are the prime factors of o?
2, 7
Let s(v) = v**3 + 33*v**2 + 66*v - 38. What are the prime factors of s(-28)?
2, 3, 113
Suppose 4 = -w - 3*w. Let x be 422/6 + w/3. Suppose 3*h - x = -2*h. What are the prime factors of h?
2, 7
Suppose -2*z - 2*r = -654, -4*r + 76 = 5*z - 1554. What are the prime factors of z?
2, 7, 23
Let w = 31 + -9. Suppose -w*y + 3824 = -6*y. List the prime factors of y.
239
Let b(l) = l**3 + 11*l**2 - 13*l - 57. What are the prime factors of b(-11)?
2, 43
Let y(a) = a**2 - 4*a + 28. Let w(u) = u**2 - 2*u - 3. Let h be w(5). List the prime factors of y(h).
2, 31
Let w(d) be the third derivative of d**8/10080 + d**6/180 + 7*d**5/60 + 9*d**2. Let r(u) be the third derivative of w(u). What are the prime factors of r(2)?
2, 3
Let g = 7870 - 3973. What are the prime factors of g?
3, 433
Suppose 2*r - r = 6. Let n be r/15 - (-78)/30. Suppose -1 = -n*h + 59. What are the prime factors of h?
2, 5
Suppose -v - 1 = -3*c, 6*v = 3*v + 3*c + 3. Suppose 5*n = v*n + 99. Let z = n - 9. List the prime factors of z.
2, 3
Let h be (6/4)/((-6)/12). Let v be 1 + h + 10 + -3. Suppose -3*d + i + 8 = d, -5*d + 5*i - v = 0. List the prime factors of d.
3
Let w = 375 + -255. What are the prime factors of w?
2, 3, 5
Let d(l) = 24*l - 15. List the prime factors of d(13).
3, 11
Let p(l) = l**2 - 9*l - 13. Let o be p(10). Let w be o*(-4 + (-32)/(-12)). Suppose w*n + 241 = 5*r, 3*r - 44 = 2*n + 99. List the prime factors of r.
3, 5
Suppose -5*h = c - 3*h - 688, -c + 706 = -4*h. What are the prime factors of c?
2, 347
Let s be (-1)/((2/2)/(-2)). List the prime factors of 53 + -8*s/(-4).
3, 19
What are the prime factors of (-2)/(-16)*8*533*1?
13, 41
Let i(j) be the first derivative of -j**2 + 10*j - 1. Let g be i(-5). List the prime factors of (-1)/(-5) + 396/g.
2, 5
Suppose j = -y + 692 - 144, -10 = 2*j. List the prime factors of y.
7, 79
Let o = 64 - -80. Suppose 392 = 4*q - o. What are the prime factors of q?
2, 67
Let b = 5 + 0. Suppose p = -4*g + 73 - b, 5*g - 121 = -2*p. What are the prime factors of p?
2, 3
Let d = -55 - -91. Suppose 3*h + d = 108. What are the prime factors of h?
2, 3
Suppose 0 = 4*g - 3*g - 2*k + 6, 5*k - 15 = g. Suppose 14*c - 17*c + 114 = g. What are the prime factors of c?
2, 19
Let g(s) = 2*s**2 + 4*s + 3. Let p be g(-2). Suppose y + 195 = a - y, 982 = 5*a - p*y. What are the prime factors of a?
197
Let i(h) = 9*h - 15. Let v(z) = -2*z**3 + 6*z + 7. Let a be v(-2). What are the prime factors of i(a)?
2, 3, 7
Let i(t) be the second derivative of t**3/6 + 2*t**2 - 5*t. Let d be i(-3). Let b(a) = 47*a + 2. What are the prime factors of b(d)?
7
Let a(y) = -5*y - 1. Let s be a(-1). Suppose 6 + 30 = s*c. What are the prime factors of (-2)/(-8)*(3 + c)?
3
Let p(o) = o**3 - 8*o**2 - 6*o + 4. Let j be 2/5 - 112/(-20). Let v be p(j). Let g = v - -159. List the prime factors of g.
5, 11
Suppose x = 4*t + 6*x - 1064, -3*t + 787 = x. List the prime factors of t.
3, 29
Let i be (45/(-27))/((-2)/(-6)). Let j(y) = -4*y**2 + y + 3. Let q be j(3). List the prime factors of i*124/q*3.
2, 31
List the prime factors of 28*(-27)/18*-37.
2, 3, 7, 37
Let a(h) = h - 7. Let d be a(10). Suppose -3*f + 10 - 1 = 0. Suppose -d*w = -4*x + 96, 5*x + 0*x - 123 = f*w. List the prime factors of x.
3
Suppose 65*y = 73*y - 3896. What are the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
is 66*(-90)/50490*782*1?
-92
(37/((-21238)/205))/((-1)/2)
5/7
Calculate (-173)/((-23528)/272)*2/(-43).
-4/43
16/(-20)*429/104*20*(-8)/24
22
What is the value of ((3/(-4))/(27/(-24)))/((-57)/(-192888)*48)?
47
Calculate ((-837)/(-19344))/(264/(-286)).
-3/64
Calculate (-50022)/72254*(-2)/12.
3/26
What is ((-3)/45)/((-1756)/(-368760))?
-14
What is 3*(-8)/4*310/(-155)?
12
30/4*((-9328)/742)/(-44)
15/7
Evaluate ((-14)/203)/(485/(-42195)).
6
What is (-1005)/(-603)*(-7)/70*-132?
22
What is the value of (36/(-42))/((-435)/145*(-423)/(-21))?
2/141
What is ((-16)/((-5856)/671))/((-1)/(-32)*28/21)?
44
(11/(-10))/(990/1650)
-11/6
What is ((-7944)/6951)/((-5)/((-60)/(-7))*(-88)/(-196))?
48/11
Calculate ((-19926)/4059)/(-7*21/(-1078)).
-36
Evaluate (-24)/2*620/2232*21.
-70
Evaluate (-4)/(-6)*55*348/(-9280).
-11/8
Evaluate (300/(-3825))/((-525)/(-5950)).
-8/9
Calculate ((-2813304)/1270)/213*30/8.
-39
What is the value of (36/252)/(((-2016)/490)/(-24))?
5/6
What is the value of 35/(16/((-576)/(-36)))?
35
Evaluate -25*180/750*(3/1)/(-156).
3/26
What is 48/(-74)*6179/(-334)?
12
(-1*54/(-5))/(-13*28/(-910))
27
Evaluate ((-86)/14)/((-155)/(-4340)*1*4).
-43
What is (-5)/((12/(-36)*(-3)/7)/((-510)/(-2975)))?
-6
What is the value of 135/90*((-78)/(-4))/(-1)*(-516)/1118?
27/2
What is the value of (-8*64/10752)/((-4)/16)?
4/21
What is (420/(-392)*-49)/(5*(-9)/(-30))?
35
Evaluate (128/144)/(232/290).
10/9
Evaluate 36*(-24)/9504*(-12)/150.
2/275
What is (((-2322)/1935)/(((-12)/45)/(-2)))/(3/18)?
-54
(40/104)/((-5)/(-2))
2/13
Calculate (-213)/3479*5/((-900)/(-70)).
-1/42
((-68925)/74439)/((-4)/(-108))
-25
What is the value of ((-10808)/6176)/(((-12)/200)/(36/15*-1))?
-70
Evaluate ((-14)/((-6888)/(-12177)))/((-18)/16).
22
Calculate -4*(-3)/(-13)*1119144/(-459136).
9/4
Calculate ((3/(-15))/(154/220))/((-192)/(-56)).
-1/12
What is (33/(-44)*-16*22/(-44))/(4/18)?
-27
What is the value of ((-135)/(-24))/(57*35/(-1330))?
-15/4
Evaluate (328265/(-37516))/((-14)/(-88)).
-55
Calculate 96/(-552)*966/(-924).
2/11
Evaluate (3476/(-19118))/((-8)/(-1078))*-6.
147
What is the value of ((-3)/(150/(-184)))/(177/(-590)*(-136)/51)?
23/5
What is (-6)/(-9)*(18603/(-424))/(-13)*1*2?
9/2
Calculate ((-102)/10)/((-915)/(-2135)*14/(-30)*1).
51
(24/(-10))/(-6)*125/(-285)*9/(-15)
2/19
What is ((-6)/9*1)/(((-4)/(-13))/(106/(-689)))?
1/3
((-1)/3)/(17427/(-348540))
20/3
Evaluate ((-122)/915)/((-24)/((-4320)/5)).
-24/5
Calculate 5786/11572*(-15)/40.
-3/16
15126/7563*22/4
11
What is 4/(-6)*-3*(-48)/(-36)*420/(-40)?
-28
What is 3/6*-4*145/(-10)?
29
What is (-4368)/(-10920)*(-5)/(-12)*20/6?
5/9
What is the value of ((7208/102)/(-53))/((-4)/(-177))?
-59
Evaluate 13/(-2)*(-3308594)/320983.
67
Evaluate 30/2*(-656)/(-48)*(-805)/(-1435).
115
What is ((-7)/(63/12))/((-1280)/2880)?
3
What is (32/(-128))/(14/(-4))*23*424/18285?
4/105
What is the value of -44*1/(-6)*((-2736)/(-33))/19?
32
((-113)/(3562551/452))/((-2)/(-3))
-2/93
What is the value of (-402)/804*(204/5)/(((-63)/(-30))/7)?
-68
Calculate ((-4)/(-16))/((-2)/((-24)/9))*(-436608)/6064.
-24
Evaluate (-105)/(23230935/244)*(-54)/12.
2/403
What is the value of 66/(-4)*(-670)/(-7370)*30?
-45
Evaluate (8*9/720*(-12)/11)/(6/75).
-15/11
Calculate ((-574)/(-82)*(-3)/42)/(1/(-102)).
51
What is (-2944)/(-184)*(-1)/((-20)/(-85))?
-68
What is 30/((-203)/(296786/(-516)))?
85
2*-152*(-51)/(-3264)
-19/4
What is the value of 56/(11088/(-66))*(-328)/(-8)?
-41/3
What is the value of -1*15*-1*80/8*15/125?
18
What is the value of 5080/(-254)*(-8)/176?
10/11
Calculate (-6)/(-160)*23472/16137.
3/55
(-6*6/(-8))/(-9*151/8154)
-27
What is the value of -26*((-10197)/(-103))/(-99)?
26
Calculate (((-8)/(-150))/(42/(-15)))/(4*(-2)/(-40)).
-2/21
What is the value of 2*(-117)/(-7761)*(-3)/9?
-2/199
What is the value of (43*32)/(-4)*1994/(-7976)?
86
(2475/1650)/((-1)/((-16)/68))
6/17
What is the value of 0/(-27*(-114)/1539)?
0
What is the value of (68*(-17)/340)/(1/2)?
-34/5
Evaluate ((-7434)/4543)/((-78)/2431).
51
What is 13/(91/(-35))*10/(-765)*24/40?
2/51
What is the value of (-13)/((-325)/12)*-3*((-285)/(-126))/(-19)?
6/35
(-13667)/(-173)*(-4)/(-4)*-1
-79
Calculate (20/2)/((2*(-8)/114)/(6288/(-4716))).
95
What is (-11)/(-2)*((-18460)/7865)/71?
-2/11
Evaluate ((10/(-150))/((-3)/(-387)))/((-46)/(16100/(-105))).
-86/3
What is the value of (968300/(-184))/(-421)*88/(-10)?
-110
What is the value of 2/(58*18/10962)?
21
Evaluate (-10)/5400*-20*12/(-2)*13455/65.
-46
What is (56/252*-9)/((-24)/(-30))?
-5/2
What is 7/(-3)*(-22020)/20552*12/(-1665)?
-2/111
What is the value of (((-196)/(-14406))/((-17)/(-476)))/((-10)/28)?
-16/15
Evaluate 7/30*215/((-70735)/(-564)).
2/5
What is the value of ((-7)/70)/(3718/1144)?
-2/65
What is the value of (4620/(-784))/33*2*7?
-5/2
(47/((-47)/(-6)))/((-290)/4205)
-87
Calculate ((-528)/(-54))/(((-310)/45)/31).
-44
Calculate 2/(-616)*22*(-14)/(-20).
-1/20
(
|
{
"pile_set_name": "DM Mathematics"
}
|
4*j + 4*b = -12. Suppose 0 = t + j - 4. Is 1 at least t?
False
Suppose -4*m - 2*g + 22 = -16, 3*g - 46 = -5*m. Is m smaller than 7?
False
Let q = 259/2169 - 2/241. Let h = -36 + 36. Is q at least as big as h?
True
Let a = 5 - 3. Suppose -2*i + 4*i + 3*v - 14 = 0, -v = -i + a. Let t be (1/(-3))/(2/(-30)). Is i at most t?
True
Let o be -3 + 3 + -3 - 3. Let x be (2/6)/(o/18). Which is smaller: 0 or x?
x
Suppose w - 3*s - 2 = 0, -s = -w - 4*w + 10. Let z(k) = 1 + 0*k**2 - 2 + k**w - 3. Let a be z(3). Is a < 4?
False
Let y = -4 + 6. Let w = -2 + 5. Suppose y*q = w*q + 4. Which is bigger: q or 1?
1
Let u(f) = 2*f**2 - 12*f + 24. Let a be u(5). Is 14 smaller than a?
False
Let l(u) = 8*u**2 + 5*u - 4. Let z be l(-3). Which is smaller: z or 52?
52
Let w = 8/137 - 6100/1233. Which is smaller: w or -5?
-5
Let c be (30/(-25))/((-6)/15) + -2. Is 7/12 equal to c?
False
Let u be 10/(-22)*(-16)/10. Let i = u - 18/55. Let k = -0.9 - -0.6. Is i < k?
False
Let u be (-2 - 1) + 100/34. Is 0 <= u?
False
Suppose 2*o + 13 = 3*l, 5*o - 2*l = -4 - 1. Suppose 3 = -4*d - o. Suppose -5*b + 3 = 2*z, 6 = -b + 2*z - 3. Is b at least as big as d?
True
Let i be (2/4)/(0 + 1). Let v = -6 + 8. Suppose -v*s = -s - 1. Does i = s?
False
Let f be (-8)/(((-3)/(-6))/(-1)). Suppose 20*g + 40 = f*g. Which is greater: g or -9?
-9
Let v = 18 + -1. Let n = v + -21.4. Let y = n + 4. Is -1 greater than or equal to y?
False
Let i(p) = 3*p - 6. Let r be i(4). Let q = r - 6. Do 2 and q have different values?
True
Let d = -35 + 37. Suppose a = -0*a + 2. Suppose 0*w = 5*w + a*z - 7, -2*w - 2*z = -4. Is d at least w?
True
Suppose 4*m = 7 + 21. Let g(t) = t**3 - 8*t**2 + 6*t + 2. Let d be g(m). Do -6 and d have the same value?
False
Let q = 0.047 - -0.253. Which is greater: q or 9?
9
Suppose -2*s = 2*z + 1 - 7, -5*s - 6 = -2*z. Let h = 11/5 - 28/15. Is h less than or equal to s?
False
Suppose g + 3*x + 0 = 1, -x = -4*g - 48. Is -11 > g?
False
Let l = 9 + -26. Let m = l - -17.05. Let x = 4 - 3. Which is smaller: x or m?
m
Let q = 0.14 - 0.14. Let k = 0.06 - -2.94. Is k at least q?
True
Suppose 0 = -3*v + 15, -5*g - 11*v - 25 = -16*v. Let i = 3839/14 + -274. Is i equal to g?
False
Suppose -r + 4*c + 10 = 0, -5 = 3*r + 4*c + 13. Let p = r + -1. Let o be (p/36)/(1/(-3)). Do 1 and o have the same value?
False
Let l = 30 + -39. Is l less than -41/5?
True
Let m(q) = -q**2 + 4*q + 5. Let k be m(5). Let w be (-27)/(-15) + (-2)/(-10). Suppose -4*c + 3*n + 17 = -w*c, c = 4*n + 21. Is c > k?
True
Let f be ((-12)/(-15))/(6/(-15)). Let c = 2 + f. Which is greater: c or -1?
c
Suppose -9 = n - 3*i, -i - 2*i - 3 = -3*n. Suppose 4*k + 20 = -2*b, -n + 1 = -b + k. Which is bigger: b or 1/2?
1/2
Let f = -7 + 4. Let q(y) = -y + 3. Let z be q(6). Is f equal to z?
True
Let r = 54 + -26. Are 1/3 and r nonequal?
True
Let d(g) = -7*g - 13. Let k(x) = 3*x + 7. Let q(f) = -4*d(f) - 9*k(f). Let r be q(9). Which is bigger: r or 1?
1
Let i = 0.074 + 0.126. Are -2/9 and i non-equal?
True
Let z = 37219834/13148265 + -2/202281. Let l = 42/13 - z. Let q be (1/(-5))/((-2)/5). Which is greater: l or q?
q
Let w = 2/783 - 3158/10179. Is w at most as big as 1?
True
Let g = 0.1 - -0.1. Let d = g - 0.4. Is 0 not equal to d?
True
Let z(h) = h**2 + 4. Let n be z(-4). Let r = -29 + n. Let m be (-3)/r + -2 + 1. Is 0.1 > m?
True
Suppose -3*c + 7*c = 8. Suppose 3*n - c = 1. Which is smaller: 2 or n?
n
Let y = 2 + -8. Let q = -6 - y. Suppose 0 = 4*m - 3*t - 10, t + 3*t + 8 = 0. Which is smaller: m or q?
q
Let r be -3 + 3 - -17 - 1. Let y = -16 + r. Let b = 3 - 2. Which is smaller: y or b?
y
Suppose f = 4*t + t + 6, f - 3 = 2*t. Is t at least -2/61?
False
Let k = -11 + 7. Let l = 6 + k. Which is greater: l or 1/2?
l
Let d = -1 + -1. Let s = 3 + d. Suppose -n - 8 = -3*j, -3*n - 1 - 5 = -3*j. Is s bigger than n?
False
Let f = -0.02 + 2.02. Let l = f - 4. Let q = 1 + l. Which is bigger: q or -3/4?
-3/4
Let h = 14 + -10. Suppose h*v - 4*q = v - 6, -v + q = 2. Is -4 equal to v?
False
Let j be (4/(-12))/((-2)/18). Suppose -3*s - 3*f - 2 = 7, j*s - 2*f - 16 = 0. Suppose 6*a + 7 = s*a + 3*q, -a + 3*q = -5. Is -3 < a?
False
Let n = 5188/21 + -247. Which is smaller: n or -1?
-1
Suppose -3*g - 3 = 6. Which is greater: -1 or g?
-1
Let t = 27 - 18. Let g(q) = -q**3 - 5*q**2 - q + 8. Let r be g(-6). Let h be 2/t - r/(-18). Do 3 and h have the same value?
True
Let r = 405/88 - 39/8.
|
{
"pile_set_name": "DM Mathematics"
}
|
c - 17. Let j be b(-3). Calculate the highest common divisor of 61 and j.
61
Suppose d - 2*d = -132. Let s(t) = t**2 - 3. Let a be s(6). What is the highest common divisor of d and a?
33
Suppose -80*f + 4797 + 1283 = 0. Let n(a) = a**2 + 3*a + 1. Let c be n(3). Calculate the highest common factor of f and c.
19
Let v be (-1)/4 + (-35050)/(-40). Let h(x) = 7*x + 1. Let t be h(-1). Let i be v/36 + (-4)/t. Calculate the highest common factor of 10 and i.
5
Let g(v) = -v**3 + 5*v**2 + 8*v - 6. Let f be g(5). Let m be (2 + (-123)/82)/((-1)/(-34)). Calculate the highest common factor of f and m.
17
Let d be (-8)/80*-305*62. What is the greatest common factor of 31 and d?
31
Let f(k) = -k**3 - 18*k**2 - 28*k + 122. Let h be f(-16). What is the highest common divisor of 1450 and h?
58
Let y = -380 + 416. Calculate the highest common factor of y and 396.
36
Let p = 1743 - 1696. Calculate the greatest common factor of p and 188.
47
Suppose 10 + 30 = 5*c. Suppose -12*a = -c*a - 140. Calculate the highest common factor of 7 and a.
7
Let x = -75 + 67. Let q be (-1 + (-4)/x)/((-3)/60). Calculate the greatest common divisor of q and 20.
10
Let s be (692/(-2))/(-2) + 1 - 4. Calculate the highest common factor of s and 68.
34
Suppose 16*a - 638 = 66. Calculate the greatest common factor of 99 and a.
11
Let u = 300 - 289. Let p(c) = 40*c**3 - 1. Let m be p(-1). Let h = m + 74. What is the highest common divisor of h and u?
11
Let i be -4 + 1 - -14 - 1. Let m = 16 - i. Suppose m*r + r = 756. Calculate the highest common divisor of r and 27.
27
Let c be ((4190/6)/(-5))/(2/(-6)). Suppose -c = 12*h - 1643. Calculate the greatest common factor of h and 17.
17
Let q(r) = -11*r - 44. Let m be q(-5). What is the highest common factor of m and 187?
11
Let a = 361 + -339. What is the greatest common divisor of a and 2486?
22
Let r = -1199 - -1899. Calculate the highest common divisor of r and 28.
28
Suppose 2*n = -p + 491, -5*p + 495 = 2*n - 0*p. What is the highest common factor of n and 70?
35
Let c(s) = -s**3 + 7*s**2 - 5*s + 8. Let m be c(6). Let u be 4/(-8) - 89/(-2). Suppose u*l - 49*l + 70 = 0. Calculate the greatest common divisor of l and m.
14
Let j be 4/(-5) - (-718)/10. Suppose -74*p + j*p + 21 = 0. What is the highest common divisor of 35 and p?
7
Suppose 0 = 5*u - 6*u - 56. Let c be u/((-3 - -1)/2). What is the greatest common factor of c and 8?
8
Let m(g) = g**3 + 12*g**2 - 13*g + 1. Let r be m(-13). Let j be (-11 + 53)/(((-2)/r)/(-2)). Calculate the highest common divisor of 105 and j.
21
Let t = -775 + 831. Calculate the greatest common divisor of 32 and t.
8
Suppose 119*g = 124*g - 1155. What is the highest common factor of g and 14?
7
Suppose -12*t = 3*t. Let j be 165/(-10)*(2/(-3) - t). What is the greatest common factor of j and 286?
11
Let c(b) = b**2 + 2*b + 3. Let a be c(0). Suppose 5*f - a*y - 76 = 6, 5*f = -y + 66. What is the highest common divisor of 14 and f?
14
Suppose 5*u - 2*v - 3*v + 5 = 0, 3*u - 4 = -4*v. Suppose 3*b + 113 = i, u*i + 4*b = -3*i + 274. Calculate the greatest common divisor of 42 and i.
14
Let r(w) = -w**2 + 2*w + 5. Let p be r(3). Suppose p*b + 56 - 272 = 0. What is the highest common factor of b and 12?
12
Let c(w) = -w + 25. Let f be c(21). Suppose -f*m = -324 - 12. Calculate the greatest common factor of 28 and m.
28
Let u be (169/(-39) - -5) + 61/3. Let t be (-6)/(-4)*6/(-1). Let j = t + u. Calculate the highest common factor of 48 and j.
12
Suppose -4*q + 337 = -283. Let z be ((-40)/(-12))/(q/(-165) - -1). What is the highest common factor of 10 and z?
5
Let q(l) = -20*l - 3. Let m be q(-5). Let k = -687 + 949. Let b = k - m. What is the highest common factor of b and 15?
15
Suppose f - 151 = 137. Calculate the greatest common divisor of 32 and f.
32
Let j = 41 - 59. Let o = 18 + j. Suppose o = -3*a + 2*q + 3, -2*a + 2 = 2*q + 3*q. What is the greatest common factor of a and 2?
1
Let p be 3*1948/12 - -10. What is the greatest common divisor of p and 7?
7
Let t = -80 + 113. Let n = -15 + t. Let j be -1*9*54/(-3). What is the highest common divisor of j and n?
18
Let u(h) = -4*h - 1. Let k be u(-2). Suppose 24 = k*m - 6*m. What is the highest common divisor of m and 96?
24
Let p be (-22)/6 + (-2)/6. Let j(z) = -z**2 - z - 4. Let h be j(-4). Let n be (-75)/(p/h*-2). Calculate the greatest common divisor of 30 and n.
30
Suppose -2*h = 2, -2*i + 3*h + 12 + 1 = 0. Suppose 5*q + 38 = -3*k - i, 5 = -q. Let o be (-4)/6 + (-136)/k. Calculate the greatest common factor of o and 110.
22
Suppose -13*f = -f - 996. Let d = -69 + f. Calculate the greatest common divisor of 14 and d.
14
Let v(g) = g**3 - 7*g**2 + 4*g. Let i be v(3). Let y = -24 - i. Let m(q) = -2*q + 11. Let s be m(y). What is the greatest common factor of 11 and s?
11
Let r = -56 - -32. Let u be (17*6/24)/((-2)/r). What is the highest common factor of 34 and u?
17
Let j(c) = c**3 - 3*c**2 + 4*c. Let d be j(3). Calculate the greatest common divisor of 132 and d.
12
Let t(a) = -a + 4. Let f be t(0). Let u = f - 1. Let q(h) = 32*h - 5. Let y be q(1). What is the greatest common divisor of y and u?
3
Let q(l) = l**3 - 7*l**2 + 4*l + 1. Suppose -4*j = -8*j + 20. Let d be q(j). Let s = d - -49. Calculate the greatest common factor of s and 160.
20
Suppose v - 36 = 6. Let w = -40 + v. Calculate the highest common divisor of 18 and w.
2
Let y(f) = -f**2 + 11*f - 4. Let m be y(10). Suppose -92 - 1096 = -m*i.
|
{
"pile_set_name": "DM Mathematics"
}
|
00.
-60000
Let k = -0.3 - -0.1. Let w = 0.15 + k. Let a = w + 0.0454. Round a to three decimal places.
-0.005
Let v = 5.543 - -0.057. What is v rounded to zero decimal places?
6
Let m(r) be the second derivative of 245*r**4/6 + 7*r. Let q be m(-1). Round q to the nearest 100.
500
Let q = -0.1032 - 685.8968. Let h = -370 - q. Let k = -314.71 + h. What is k rounded to one dp?
1.3
Let p(g) = -530*g**3 - 6*g**2 - 2. Let d be p(5). Let c be (-5)/(-10) - d/(-4). What is c rounded to the nearest 1000?
-17000
Let i = 12.6 - 13. Let v = i + 0.399966. What is v rounded to five decimal places?
-0.00003
Let u = -3.503 + 0.203. What is u rounded to one decimal place?
-3.3
Let z = 0.16 + -0.1587. What is z rounded to 3 decimal places?
0.001
Let p = -0.31 - -13.31. Let a = p + -4. Let r = 9.00072 - a. Round r to four decimal places.
0.0007
Let o = 1528951.0000104 + -1528949. Let i = o - 2. Round i to 6 decimal places.
0.00001
Let x = -2 + 1.86. Let k = -0.1 - x. Let b = k + -0.04000067. Round b to 7 dps.
-0.0000007
Let t = 0.1836 + -0.18. What is t rounded to 3 dps?
0.004
Suppose 0 = -0*s + s - 1232919. Let d = 842919 - s. Round d to the nearest 100000.
-400000
Let g = 60.7 - -9.3. Let d = g - 69.805. Let q = -0.2 + d. What is q rounded to 2 decimal places?
-0.01
Let x(y) = 80003*y + 15. Let g be x(-5). Round g to the nearest 1000000.
0
Let z = 10 + -17. Let w = 6.98 + z. Round w to two dps.
-0.02
Let v = -0.061 - 4.039. Let z = v + 4. Let q = 0.09999998 + z. Round q to 7 dps.
0
Let t(p) be the first derivative of p**4/4 - p**3/3 - 7*p**2/2 - 5*p + 8. Let w be t(-4). Round w to the nearest 10.
-60
Suppose 2*u - 3*u + 171600 = -3*z, 4*z = 2*u - 343190. Suppose x = -2128415 - u. Round x to the nearest 1000000.
-2000000
Let p = 59.9999897 - 60. What is p rounded to six decimal places?
-0.00001
Let b = -8 - -11. Let z be 6 - 4 - 0/(-3). Suppose 2*k = -0*k - z*v - 1199990, -5*k = b*v + 2999985. What is k rounded to the nearest one million?
-1000000
Suppose -u + 6*u = 0. Suppose -f = -u*f. Suppose h + f*r - 128 = -2*r, -3 = -3*r. What is h rounded to the nearest ten?
130
Let d = 200 + -84. Suppose 1084 - 148 = -4*x. Let v be (-1)/(x/d + 2). Round v to the nearest 10.
60
Let m = -18 + 71. Let y = m - 53.041. Round y to 2 dps.
-0.04
Let t = 29178 - 7508. Let b = t - 1670. Round b to the nearest 100000.
0
Let h be 6 + ((-32)/(-2))/(-4). Suppose c = -4*x + 63996, 2*x = -h*c - x + 127997. What is c rounded to the nearest 10000?
60000
Suppose -4*o = 2*r + 1531524, -765766 = 2*o - r - 0*r. Let k = o + 2434746. Let y = k + 1448136. What is y rounded to the nearest one million?
4000000
Let n(y) = 2*y**3 + 10*y**2 + 8*y - 7. Let b be n(8). Suppose 0 = -4*s - 8279 - b. What is s rounded to the nearest one thousand?
-3000
Let r(x) = 3 + 3*x + 3 + 2*x**2 + 1605*x**3 - 2. Let b be r(4). Let g = b + -176768. Round g to the nearest 10000.
-70000
Suppose -4*r + 4*v - 20 = 0, -4*v = -9*v + 25. Suppose 2*g - g + 10 = r. Let k be (-620004)/g - (-2)/(-5). What is k rounded to the nearest ten thousand?
60000
Let z(s) = 4928*s**2 - 262*s**2 - s + 2*s + 3. Let k = 3 - 0. Let o be z(k). Round o to the nearest ten thousand.
40000
Let v = -1.00128 - -1. What is v rounded to four dps?
-0.0013
Let v(s) = -2 - 15*s + 2 + 6*s - 62964*s**2 + 3. Let n be v(-9). What is n rounded to the nearest 1000000?
-5000000
Suppose 5*q - 3*o = -2699997, 2*q + 0*o = 2*o - 1079998. What is q rounded to the nearest 10000?
-540000
Let v = -336 + 227. Let s = -109.0000059 - v. Round s to 6 dps.
-0.000006
Let k(p) = -7*p - 28*p - 41*p + 16. Suppose 5*m = 49 + 6. Let w be k(m). What is w rounded to the nearest 100?
-800
Let z be (-4)/5*5/(-2). Let t be -5 + z - (-2 - 1). Suppose t = m - 2*q + 5*q + 13, -m - q - 11 = 0. Round m to the nearest ten.
-10
Let f be 1*(174/(-3))/(-1). Suppose -5*w + f = -17. Let d be 2/(-5) - (-2106)/w. What is d rounded to the nearest 100?
100
Let m = 3.11 - 3. Let v = 6.97 - 7. Let n = m + v. What is n rounded to one decimal place?
0.1
Let c = -1.71 + 1.710000522. Round c to seven dps.
0.0000005
Suppose 10 = 7*t - 5*t. Suppose -t*y + 5*h = 25, -3*y + 2*y - 3*h = -11. Let q be (-1)/y - (6397 + 4). Round q to the nearest 1000.
-6000
Let n(o) = -60014*o + 84. Let v be n(6). Round v to the nearest one hundred thousand.
-400000
Let f = 841 + -840.423. Round f to 1 decimal place.
0.6
Let m = -3.3634077 + -0.0367223. Let l = m - -3.4. Round l to four dps.
-0.0001
Suppose -q - 3 + 0 = -4*c, 4*q = c + 48. What is q rounded to the nearest 10?
10
Suppose 0 = -0*h - 3*h + 3. Let v(p) = -9*p**3 + p. Let x be v(h). Round x to the nearest 10.
-10
Let k be 232/28 - 4/14. Let g be 3 + -2 + (k - 3). Let o be 2/(4/g) - 12300003. What is o rounded to the nearest 1000000?
-12000000
Let y = 8 - 5. Suppose -36 = -2*n - y*n - 4*f, -2*f + 28 = 5*n. Suppose -n*k - 188980 = -3*i, 2*i - k = 4*k
|
{
"pile_set_name": "DM Mathematics"
}
|
11733.4
What is -667770 plus 18.2?
-667751.8
What is -194499.2989 - 0.9?
-194500.1989
29866 - -684
30550
Work out 4 - 0.1423356.
3.8576644
What is -0.2 less than -65350167?
-65350166.8
-0.4+46004615.04
46004614.64
What is 599587163 less than 7?
-599587156
Total of -2.2167508 and 14.
11.7832492
What is 65249 + 45380?
110629
What is -0.1221862 - 15?
-15.1221862
What is -412133 minus 8883.2?
-421016.2
What is the difference between 2456.30383 and -0.5?
2456.80383
-599659 + 38.975
-599620.025
What is the distance between 81.247 and 3.681?
77.566
Work out 0.53795 + -0.02709.
0.51086
What is -3379240 plus -0.54?
-3379240.54
Calculate -8535612 - -1.2.
-8535610.8
What is -9 take away -1.2329531912?
-7.7670468088
What is -0.07 take away -1282948114?
1282948113.93
What is 0.1232 less than 1224601?
1224600.8768
What is -4 + 5.414934?
1.414934
-0.2 + 14568237469
14568237468.8
What is -0.18 - -5.6620839?
5.4820839
Calculate -3 + 437966132.
437966129
0.08224 - 0.09
-0.00776
What is -1258 plus -51.06?
-1309.06
Put together 19 and 954558.
954577
What is 0.2 plus -300502.4029?
-300502.2029
Work out -0.45 + 343.456776.
343.006776
-1.38+0.03629
-1.34371
Work out 6 - 2493151.6.
-2493145.6
Subtract -0.009613852 from -5.
-4.990386148
What is -3180 + 3579.88?
399.88
-218209944 - -15
-218209929
-81.15379735 - -0.3
-80.85379735
What is 2819.2049 minus 20?
2799.2049
Add together -9.19 and 2.266.
-6.924
253134745+0.19
253134745.19
Calculate -247246.595 + 0.
-247246.595
Add together 166.36 and 0.1676.
166.5276
What is -9 - 1955729713?
-1955729722
What is -4160.26 take away 18995?
-23155.26
Add -7412 and 59306.
51894
-2983.7 + -2681
-5664.7
Subtract -3 from 3541.8217622.
3544.8217622
Subtract -1.285194 from -201.6.
-200.314806
What is -28 + 68.51662?
40.51662
7+-1.23565186
5.76434814
Calculate 2.1 + -230117.
-230114.9
Calculate -37.5 - -1419883.
1419845.5
Work out -20 - 220612.
-220632
462988 - -0.0455
462988.0455
Calculate -183382789 - 99.
-183382888
-75.7 + -6.6479
-82.3479
0.395 - -178592
178592.395
Calculate 0.3 - 366388447.
-366388446.7
Add together 0.069689 and 128449.
128449.069689
Put together 5016 and 114662.
119678
Subtract -25551.03101 from 0.4.
25551.43101
What is -0.1 minus -0.565593074?
0.465593074
What is 15454.395463 plus 4?
15458.395463
1.9918274 - 3
-1.0081726
-2277 + 9581473
9579196
Work out -2389.846 - 21.6.
-2411.446
Put together 0.29536 and -0.75.
-0.45464
What is the distance between -4803422 and 97.8?
4803519.8
Work out 297 + -0.1848721.
296.8151279
What is 1823 - 0.0643399?
1822.9356601
Work out 0.2 - -95834325.
95834325.2
Work out 5844646401 - 0.
5844646401
What is 0.02 - 0.35594673?
-0.33594673
Calculate 1477 - 1.10162.
1475.89838
What is the difference between -4 and 757271?
757275
What is the difference between -0.4 and -16996922?
16996921.6
What is -39171 - -1218?
-37953
What is 279299 - -35343?
314642
What is -0.006 + 777.631247?
777.625247
1330.7 - 19508.38
-18177.68
Work out 0.636 + 29824.
29824.636
Add -106 and 108355440.
108355334
What is the distance between -12.74412 and -0.49339?
12.25073
Calculate 368244487 + -25.
368244462
What is 79 + -9050033?
-9049954
Work out -1775.28594 + 0.067.
-1775.21894
-9.8 - 740957
-740966.8
Total of -0.08 and 99544770.
99544769.92
What is -1.28 plus -7026?
-7027.28
-6.04946+-3.48
-9.52946
Calculate -18874 - -496.
-18378
What is -164706 take away -9.52?
-164696.48
What is 6.34 take away 1151183?
-1151176.66
Subtract 5.3 from -0.8885828.
-6.1885828
What is -208 + -1004534?
-1004742
Add -928844866 and 22.
-928844844
Calculate 0 - 8964.205.
-8964.205
What is 20.19408021 less than 10?
-10.19408021
0.2+-512700486
-512700485.8
Work out -0.0084133 - 499.7.
-499.7084133
Calculate 0.02014 - -242.525.
242.54514
5585901721+-3
5585901718
-1 - -2033604635
2033604634
Put together -1308764138 and -3.
-1308764141
What is 3877680 less than 66.3?
-3877613.7
What is the distance between 1078.68 and 61069?
59990.32
What is -0.9 + -212045400.5?
-212045401.4
Add -1 and 16.6803.
15.6803
What is -16046895 + -0.3?
-16046895.3
What is -3007775232 minus 0.5?
-3007775232.5
What is -910.653 take away 16.519?
-927.172
What is -13.89 less than 72951?
72964.89
What is 666.0622 less than -213.5?
-879.5622
Work out -7435811225.3 + -0.1.
-7435811225.4
Work out 0.047 + -448071876.
-448071875.953
Put together 14.8666502 and 18.4.
33.2666502
Add together -957.29 and 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
rms in -2*b - 4*b - 3*b + 16*b.
7*b
Collect the terms in -15*c**3 - 38*c**3 + 3 + 12*c**3 - 17*c**3.
-58*c**3 + 3
Collect the terms in -2*m - 876*m**2 + 290*m**2 - 1306*m**2 + 4*m**2.
-1888*m**2 - 2*m
Collect the terms in 0*x - 15*x - 13*x - 9*x.
-37*x
Collect the terms in 2341 - 2341 - v.
-v
Collect the terms in 0 - 4 + 2*i**2 + 2*i**2 - 3*i**2.
i**2 - 4
Collect the terms in 4*x - 11*x - 10*x + 15*x.
-2*x
Collect the terms in -181*h - h**3 + 181*h.
-h**3
Collect the terms in -89492 + l**2 + 89492.
l**2
Collect the terms in -94*m**3 + 189*m**3 - 88*m**3.
7*m**3
Collect the terms in -3 + 4*n + 4*n - 2*n - 9*n.
-3*n - 3
Collect the terms in 1332 + 5*t**2 - 1332 - 3*t.
5*t**2 - 3*t
Collect the terms in 7*d**3 - 5*d**3 + 3*d**3.
5*d**3
Collect the terms in 60*x**3 + 24*x**3 - 112*x**3.
-28*x**3
Collect the terms in 773*u**3 + 761*u**3 - 1532*u**3.
2*u**3
Collect the terms in 21 - 35 + 14 - 5*j.
-5*j
Collect the terms in -7*a - 3*a**3 + 8*a**3 - 15*a**2 + 7*a.
5*a**3 - 15*a**2
Collect the terms in -417*l + 220*l + 211*l.
14*l
Collect the terms in -2 + 213*t**3 + 2 - 216*t**3.
-3*t**3
Collect the terms in -46*o**3 + 416*o**3 + 144*o**3.
514*o**3
Collect the terms in 0*r + 4*r - 5*r + 3*r.
2*r
Collect the terms in -8*z**2 + 1200*z - 1200*z.
-8*z**2
Collect the terms in 17 + 4*l - 3*l - 7.
l + 10
Collect the terms in -1685 + 1685 + o**2.
o**2
Collect the terms in -22*d**2 + 3*d**2 + 4*d**2 + 5*d**2.
-10*d**2
Collect the terms in -9*d**2 + 11*d**2 + d - d.
2*d**2
Collect the terms in -8*q**2 - 84 + 84 + 9*q**2.
q**2
Collect the terms in 18*b**2 - 5*b**2 - 5*b**2.
8*b**2
Collect the terms in -23*t**3 - 16*t**3 - 24*t**3 + 54*t**3.
-9*t**3
Collect the terms in -2*l**2 - 29*l**3 - l**2 + 2*l**2 - 41*l**3.
-70*l**3 - l**2
Collect the terms in -102*w**3 + 461 - 461.
-102*w**3
Collect the terms in 3*u + 3*u + 4*u - 8*u.
2*u
Collect the terms in 7*z - 6*z**2 + 26*z - 33*z.
-6*z**2
Collect the terms in -7*f - 11*f + 18*f - 3*f**2.
-3*f**2
Collect the terms in 179*x**3 - 346*x**3 + 184*x**3.
17*x**3
Collect the terms in -30*b - 3*b**2 - b**2 + 3*b**2.
-b**2 - 30*b
Collect the terms in 5*q**2 - 15*q**2 - q**2.
-11*q**2
Collect the terms in 451*z**3 - 880*z**3 + 384*z**3.
-45*z**3
Collect the terms in -6*i - 174206 + 174206.
-6*i
Collect the terms in 5 - 5*g**3 - 4 - 1.
-5*g**3
Collect the terms in -106*v**2 + 107*v**2 - 63*v - 48*v.
v**2 - 111*v
Collect the terms in 10*z**3 - 4*z**3 - 9*z**3.
-3*z**3
Collect the terms in 63*k**3 + 27 - 27.
63*k**3
Collect the terms in 15280 + 4*p**3 - 15280.
4*p**3
Collect the terms in 3*w**2 + 4*w**2 + 5 + 0*w**2 - 5*w**2.
2*w**2 + 5
Collect the terms in -x**2 + 166 - 166 - 5*x**2.
-6*x**2
Collect the terms in -51035*p**3 + 25521*p**3 + 25521*p**3.
7*p**3
Collect the terms in 3 + 105*c - 211*c - 3 + 116*c.
10*c
Collect the terms in 7*b**3 - 17706*b**2 + 17706*b**2.
7*b**3
Collect the terms in 32663 - 32663 + 9*z**2.
9*z**2
Collect the terms in 0*t**3 - 2*t**3 - 19*t**2 + 19*t**2.
-2*t**3
Collect the terms in 607*z - 1896*z + 685*z + 606*z.
2*z
Collect the terms in -25*l**3 + 15*l**2 - 2 - 15*l**2 + 1.
-25*l**3 - 1
Collect the terms in -35*p + 35*p + 17*p**2 - 1.
17*p**2 - 1
Collect the terms in 31*k - 14*k - 13*k.
4*k
Collect the terms in -9*m**3 - 4*m - 2*m + 6*m.
-9*m**3
Collect the terms in -262884*i - i**3 + 131445*i + 131439*i.
-i**3
Collect the terms in 6 - 3 - 10*j**2 - 4 + 1.
-10*j**2
Collect the terms in -3*m**2 + 20 - 2 - 18.
-3*m**2
Collect the terms in 10*l + 2*l - 10*l.
2*l
Collect the terms in -6 - 32 + n - 6.
n - 44
Collect the terms in 5*b**3 + 1 - 4*b**3 - 11 + 10.
b**3
Collect the terms in -10*n - 37*n + 0*n - 28*n.
-75*n
Collect the terms in -3*c**2 + 3*c**2 + 0*c**2 - c**3.
-c**3
Collect the terms in 301*t - 20*t**3 - 301*t.
-20*t**3
Collect the terms in -m - 4 + 3*m + 1 + 3*m.
5*m - 3
Collect the terms in -2*o - 5*o + 19 - o + 2*o.
-6*o + 19
Collect the terms in -28 - 2*h - 32 + 0*h + 73.
-2*h + 13
Collect the terms in 4*g**3 + 16*g**3 - g**3.
19*g**3
Collect the terms in -366*s**3 - 82*s**3 + 8*s**3 - 390*s**3.
-830*s**3
Collect the terms in 93*n - 93*n + 31*n**2 + 18*n**2.
49*n**2
Collect the terms in 1987*k - 1987*
|
{
"pile_set_name": "DM Mathematics"
}
|
ert 0.4861862mm to kilometers.
0.0000004861862
What is thirty-three tenths of a micrometer in nanometers?
3300
What is ten thirds of a decade in months?
400
What is 3110.003 litres in millilitres?
3110003
How many microseconds are there in 7/2 of a millisecond?
3500
How many millimeters are there in seventy-seven fifths of a meter?
15400
What is four fifteenths of a day in seconds?
23040
How many decades are there in twenty-seven fifths of a millennium?
540
How many nanograms are there in 61/2 of a microgram?
30500
Convert 532645.2 minutes to microseconds.
31958712000000
What is 95040.37us in nanoseconds?
95040370
How many millilitres are there in 53/4 of a litre?
13250
What is one tenth of a litre in millilitres?
100
How many months are there in five sixths of a millennium?
10000
Convert 4.29905 days to minutes.
6190.632
How many minutes are there in 6/5 of a hour?
72
What is five quarters of a millimeter in micrometers?
1250
What is 563000.9 hours in nanoseconds?
2026803240000000000
Convert 0.5125811ml to litres.
0.0005125811
How many millilitres are there in 0.984733l?
984.733
How many tonnes are there in 2.727591 milligrams?
0.000000002727591
What is twenty-seven quarters of a day in hours?
162
Convert 146.641347ns to days.
0.0000000000016972378125
How many nanometers are there in five quarters of a micrometer?
1250
How many seconds are there in 0.746927ns?
0.000000000746927
How many grams are there in thirteen fifths of a kilogram?
2600
How many nanograms are there in 0.1395458t?
139545800000000
How many months are there in twenty-five quarters of a decade?
750
How many tonnes are there in 0.0506392mg?
0.0000000000506392
What is seventy-one fifths of a millennium in centuries?
142
How many nanograms are there in eleven quarters of a microgram?
2750
How many nanograms are there in five quarters of a microgram?
1250
What is fifteen quarters of a milligram in micrograms?
3750
What is 1/10 of a litre in millilitres?
100
What is 3/40 of a kilometer in meters?
75
How many litres are there in 114.9497 millilitres?
0.1149497
How many millilitres are there in 65.32481l?
65324.81
How many micrometers are there in three fifths of a centimeter?
6000
How many micrograms are there in 15/4 of a milligram?
3750
Convert 6.659338 weeks to milliseconds.
4027567622.4
How many hours are there in eleven quarters of a day?
66
What is 0.7444652 hours in microseconds?
2680074720
What is 3717.039 minutes in hours?
61.95065
Convert 0.6295495ug to tonnes.
0.0000000000006295495
What is 11/2 of a litre in millilitres?
5500
Convert 47266.31 weeks to days.
330864.17
How many micrograms are there in 29/2 of a milligram?
14500
Convert 5027.772 weeks to hours.
844665.696
What is two fifteenths of a day in seconds?
11520
Convert 348312.1 millennia to decades.
34831210
Convert 17.6562ml to litres.
0.0176562
What is 31/2 of a litre in millilitres?
15500
What is 21/2 of a micrometer in nanometers?
10500
Convert 328.4162 milligrams to micrograms.
328416.2
How many years are there in 3/5 of a century?
60
What is 145.6282 meters in millimeters?
145628.2
What is 3/5 of a millennium in years?
600
How many micrometers are there in fourty-eight fifths of a millimeter?
9600
What is 3/32 of a gram in micrograms?
93750
How many weeks are there in 58050159.3ns?
0.00000009598240625
What is 32/5 of a litre in millilitres?
6400
How many millilitres are there in 6.316077 litres?
6316.077
How many millilitres are there in 1/5 of a litre?
200
Convert 1523.5374 hours to weeks.
9.068675
What is 26/5 of a tonne in kilograms?
5200
How many years are there in 41/2 of a century?
2050
Convert 766644.5ms to seconds.
766.6445
What is three tenths of a millimeter in micrometers?
300
What is 3/5 of a kilogram in grams?
600
Convert 499.3167 weeks to milliseconds.
301986740160
What is 1/5 of a micrometer in nanometers?
200
How many nanograms are there in 6/5 of a microgram?
1200
What is 0.3222713mg in tonnes?
0.0000000003222713
Convert 82226.12nm to centimeters.
0.008222612
How many days are there in 25948.9413us?
0.00000030033496875
What is 3/32 of a millimeter in nanometers?
93750
What is 51/2 of a millennium in decades?
2550
Convert 6426.669kg to milligrams.
6426669000
How many kilometers are there in 115291.9mm?
0.1152919
What is 219.7309us in nanoseconds?
219730.9
What is one tenth of a milligram in micrograms?
100
How many months are there in seventy-four thirds of a year?
296
What is 1.205701 millennia in years?
1205.701
What is 7/25 of a micrometer in nanometers?
280
How many millilitres are there in 11/2 of a litre?
5500
How many centuries are there in 24.78865 years?
0.2478865
What is 18/5 of a microgram in nanograms?
3600
How many months are there in 7/8 of a millennium?
10500
How many centimeters are there in eleven halves of a meter?
550
How many months are there in one sixteenth of a century?
75
Convert 4268.817cm to millimeters.
42688.17
What is 29/5 of a kilometer in meters?
5800
What is 82.35834 millennia in months?
988300.08
Convert 185758.6mg to kilograms.
0.1857586
What is 10/3 of a decade in months?
400
How many nanometers are there in 3/25 of a micrometer?
120
What is 1/15 of a minute in milliseconds?
4000
What is three tenths of a kilometer in centimeters?
30000
Convert 0.0022142 millilitres to litres.
0.0000022142
Convert 226.3101 minutes to hours.
3.771835
What is seventeen halves of a litre in millilitres?
8500
What is 37/5 of a day in minutes?
10656
What is 99.72487 nanometers in kilometers?
0.00000000009972487
What is 25/4 of a microgram in nanograms?
6250
Convert 241.2105 millennia to centuries.
2412.105
How many centuries are there in 6/5 of a millennium?
12
What is 18/5 of a millennium in decades?
360
How many meters are there in 3/40 of a kilometer?
75
How many millilitres are there in 17/2 of a litre?
8500
What is one quarter of a millennium in years?
250
What is 1.090293 months in millennia?
0.00009085775
How many kilograms are there in 0.571845mg?
0.000000571845
Convert 7144.496 weeks to minutes.
72016519.68
How many millilitres are there in 0.5737663 litres?
573.7663
What is twenty-one halves of a tonne in kilograms?
10500
How many centuries are there in 70208.48 years?
702.0848
What is 4/21 of a week in minutes?
1920
What is 73.82077 meters in kilometers?
0.07382077
Convert 5.451897ml to litres.
0.005451897
What is fifty-one quarters of a litre in millilitres?
|
{
"pile_set_name": "DM Mathematics"
}
|
w = 205/6 - 34. Let s be (-316)/(-18) - (5 + 13). Let q = -3 + 2.8. Which is the closest to q? (a) s (b) -2/3 (c) w
a
Let l = -191 + 189. Which is the closest to l? (a) 1.28 (b) 2 (c) 0.4 (d) -0.1
d
Let y = -1.87 + 0.87. Let v = -102.4 - -102.7. Which is the nearest to v? (a) 9 (b) y (c) -0.5
c
Let d be (-6)/38*2/(-3). Let f = -992.4 + 993.4. What is the nearest to f in d, 0.5, -1?
0.5
Let q = -566 - -290. Let k = q - -272. What is the nearest to -24 in 2/9, k, 2/5, 1/3?
k
Let i = -1513 + 1508. Which is the closest to 2/11? (a) 1 (b) 2 (c) i (d) 4
a
Let u = -422.9439 - -423. Let r = -48.6439 - u. Let g = -49 - r. What is the nearest to 2 in 0, g, 2?
2
Let x = 17.521 - 17.581. Which is the closest to -2? (a) 8/11 (b) -0.5 (c) x (d) 1/5
b
Let p = -26478.6 - -26478.3. Let g = -0.3 - -0.2. What is the nearest to 0.1 in p, 2/21, g?
2/21
Suppose 11*t + 48*t = -23*t + 246. Which is the nearest to 0.6? (a) 7 (b) -15 (c) t
c
Let s be ((-2)/(-2))/(-4*(-9)/(-36)). Let x = -140 + 143. Let f = -5 + 4.7. Which is the closest to s? (a) f (b) x (c) -0.2
a
Let o = 48 + -144. Let i be (-1 - -4) + 280/o. Which is the closest to 0? (a) -3/4 (b) -0.06 (c) i
b
Let y = 29 - 58. Let w = y - -43. Let j = w + -14. What is the closest to 2 in 0.3, j, 5?
0.3
Let u = -293 - -290.33. Let a = u - -0.67. What is the nearest to -0.1 in -0.1, a, -1/4?
-0.1
Let g = 4292 - 4291. Which is the nearest to -2/7? (a) g (b) 0 (c) 33 (d) -0.4
d
Let o = -28.2721 + -0.0479. Let r = -28 - o. Let x = r - 0.72. What is the closest to -2 in 0.05, x, 5?
x
Let u = 2066.5 - 2066.53. Which is the nearest to -0.13? (a) u (b) 5 (c) -2/47
c
Let k = 1994 + -1994.1. Let x = 16 + -16.1. Which is the nearest to k? (a) 1/7 (b) -4 (c) x (d) -7
c
Let y be (12/8)/(4 + (-70)/7). What is the nearest to -1 in 7, y, 67, 0?
y
Let z = -0.06833 + 0.46833. Which is the nearest to -1.5? (a) z (b) -1/6 (c) 1/4
b
Let o = -0.62 + 0.22. Let d = 705.1 - 705. What is the closest to -2 in -1/11, d, o?
o
Let t be (4/16)/(-2 + 95/15 + -5). Which is the nearest to -0.1? (a) t (b) 3/11 (c) 0.03
c
Let s be (-4)/(28/(-49)) + (-3)/24*59. What is the nearest to s in -0.3, 2, -3/7, -18?
-3/7
Let j be (-6)/4*((-2)/6)/((-276)/(-96)). Which is the nearest to 1? (a) -1/7 (b) j (c) -0.2
b
Let w = -108 + 72. Let h = 436/1673 + 6/239. What is the closest to 0 in w, 3, h?
h
Let t = -66 - -29. Let y = -39 - t. Which is the closest to -5? (a) -3 (b) y (c) -4
c
Let s be ((-1075)/3440)/(5/4). Which is the nearest to 11? (a) 18 (b) 1/3 (c) s
a
Suppose -p - 5*m - 265 = 0, -4*p + 5*p + 220 = 4*m. Let s be (-2)/(-5) + p/100. Let l be (-6)/4 + s + 8/4. Which is the closest to 1/9? (a) -3 (b) l (c) -5
b
Let n = 0.21977 - 1.21977. Which is the nearest to n? (a) -11 (b) -4 (c) -7 (d) 0.3
d
Let p = -0.12 + -2.98. Let h = -45.1 - -53. Let n = p - h. Which is the closest to 0? (a) -1 (b) -2/3 (c) n
b
Let i = 2059 + -2057. Suppose -3*c = 4*x - 2, 2*c - 4*c + 4*x = -8. Suppose 3*s + 7 = -c. What is the nearest to 0 in s, i, -0.4?
-0.4
Let h be 35/20 - (-2 - (0 + -3)). Let q = 23 + -24. Let s = 25 + -22. Which is the closest to q? (a) h (b) s (c) -4
a
Let y = 0.3 + -0.1. Let l be 6/((-390)/355) + 39 + -34. Which is the closest to y? (a) 3/5 (b) l (c) -4
a
Let u = -0.9 + 1. Let d = 8.2 + -31.8. Let b = 24.6 + d. What is the closest to -2 in 2/23, b, u?
2/23
Let x = 211 + -173. Let v = x + -37. Which is the nearest to 2/9? (a) 5/2 (b) v (c) -1/3
c
Let h = 42220/7 - 6044. Which is the closest to 1? (a) -3 (b) -0.4 (c) h
b
Let k = -2759 + 2758.9. Let m = -8 + 10. Which is the closest to k? (a) m (b) 3/31 (c) -5 (d) 5
b
Let y = 0.054 - -0.246. Let k = -25 - -25.45. Let d = k + -0.25. Which is the closest to y? (a) -0.4 (b) -4 (c) d
c
Let t(f) = -f**3 + 3*f**2 + 2*f - 2. Let h be t(2). Suppose -10 = 3*m + j, -3*m - 4 = -3*j - 10. Which is the closest to 0.4? (a) h (b) m (c) -4/3
c
Suppose 4*q - 6*q - 64 = 0. Let w be (-3)/(-18)*(-4)/q*18. What is the closest to w in 2, -1/4, -1?
-1/4
Let z(x) = 2*x**2 - 18*x - 29.
|
{
"pile_set_name": "DM Mathematics"
}
|
actor of l?
False
Is 348/9*(-6)/(-4) a multiple of 12?
False
Let i = 1008 - 409. Is 42 a factor of i?
False
Does 28 divide (-1688)/(-28) - 6/(-147)*-7?
False
Suppose 0 = 4*b + 20 + 168. Let w = -17 - b. Suppose 0 = -c + m + 33, -c - m = 7 - w. Is 9 a factor of c?
False
Let o = -3 - -3. Suppose 3*k = -o*k. Suppose -5*c + 132 = 3*d, 5*c + 63 = 2*d - k*d. Is d a multiple of 13?
True
Suppose -5*o + 23 + 9 = 4*s, -2*o + s + 5 = 0. Suppose o*m = 4*w - 420, -w + 207 = w + m. Is w a multiple of 20?
False
Let o be (1 - (0 + 1)) + 12 + 0. Suppose -o*a = 4*a - 3168. Is a a multiple of 18?
True
Let v(m) = m**2 - 23 - m - m + 29. Let h be v(6). Does 5 divide (h/(-12))/(2/(-4))?
True
Suppose 0 = -k + 10*k + 36. Let p = k - -26. Is 11 a factor of p?
True
Let j be 356/(-3)*3/(-2). Let y = j + -99. Does 32 divide y?
False
Suppose 0*c + 5*z - 24 = -c, 2*c + 4*z = 18. Let y be -10 - -13 - (-1 - c). Suppose -y*n = j - 44 - 11, -150 = -3*j - 4*n. Is j a multiple of 23?
True
Let y be 2/(-12) - 49/(-6). Suppose -y = -3*h + 4. Does 6 divide 142/10 - h/20?
False
Let o(y) = y**2 - 1. Let l be o(2). Suppose -2*t - l*t = 2*c - 175, 0 = -5*t - 3*c + 170. Does 11 divide t - (-4)/((-4)/3)?
False
Suppose 3*r - 7*r = 0. Suppose c + 4*s + 11 = r, -3*s - 14 = -2*c - 2*s. Suppose -4*v + c*f - 8 = -153, 89 = 2*v + 3*f. Is 10 a factor of v?
True
Suppose -2*c = -f + 5, -3*c = 2*f - 0*f - 3. Suppose -f*h + j + 788 = 0, -h - 3*j = -2*h + 252. Does 15 divide h?
False
Let x(h) be the second derivative of 11*h**3/3 - 21*h**2 + 15*h. Does 18 divide x(9)?
False
Let x be 5/(-2)*4/(-5). Let d be (x/(-4))/((-4)/(-168)). Is 10 a factor of (2 - d) + (0 - 3)?
True
Suppose 4*x = 3*x + 5*j + 137, -j = 2*x - 219. Suppose x = -2*w - 2*w. Is 6 a factor of (-7)/w + 126/8?
False
Let s = -91 + 139. Does 4 divide s?
True
Let t be ((-5)/(-3))/(6/18). Suppose b = x + 1, 4*x - t*x + 2*b = 4. Suppose -87 = -x*f + v - 4*v, f + 5*v = 40. Is f a multiple of 15?
True
Suppose -248 = -4*v - 2*c, -c = -2*v + 4*c + 148. Suppose j - v = -j. Suppose -4*k = x - k - 40, -x + 5*k + j = 0. Is 17 a factor of x?
False
Let x(u) = 2*u**2 - u. Let s(z) = -3*z**2 - 14*z - 14. Let f(i) = -s(i) - 2*x(i). Does 5 divide f(15)?
False
Let y(g) = g**2 + 4*g - 2. Let u be y(-4). Let c = 28 - u. Is 10 a factor of c?
True
Suppose -88 - 1424 = -7*z. Is 11 a factor of z/10 - 4/(-10)?
True
Suppose 2*q - 158 = 5*x, -5*q + 5*x = -0*q - 410. Suppose 4*k - 29 = r + 118, 2*k - 4*r - q = 0. Is k a multiple of 36?
True
Suppose -3*w + 70 + 371 = 0. Let n be w/(((-12)/8)/(-1)). Suppose 0 = o - 8*o + n. Is 14 a factor of o?
True
Suppose 5*q + y - 1237 = 3*q, 4*q - y - 2483 = 0. Is 9 a factor of q?
False
Let f = 2 + -2. Let d be (3 + -1)*(6 + (-55)/10). Suppose p - d - 35 = f. Is 18 a factor of p?
True
Let y be (-9)/(-4) + 3/(-12). Let r(o) = 13*o**y - 2*o - 9*o**2 - 3 - 3*o**2. Does 9 divide r(8)?
True
Suppose -h + 3*h + 6 = 0. Let z be 38 - (-2 - h - 3). Does 15 divide (z/(-6))/((-4)/18)?
True
Suppose 4*k - 5*k = -92. Suppose i - k = -420. Is 14/(-63) - i/18 a multiple of 18?
True
Let c(o) = -24*o**3 - o**2 + o. Let r be c(1). Is 20 a factor of (-1422)/r - (-3)/4?
True
Let b be 1/(-3) + (-364)/42. Is 6 a factor of (3 - 2) + -4 - b?
True
Let b = -301 + 931. Is 37 a factor of b?
False
Let z be 0/1*(18 + -19). Suppose z = -6*u + 99 + 189. Is u a multiple of 24?
True
Suppose -3*m + 2*t + 42 = -2*t, 0 = -2*m + 2*t + 26. Suppose 0 = 2*k - 0 + 2. Let c = k + m. Does 6 divide c?
False
Suppose -4*l = -l - 6. Suppose -3*x + 37 = 2*d, l*d = x + 22 + 19. Suppose -4*i + 32 + d = 0. Is 13 a factor of i?
True
Suppose 3*k = -0*k. Suppose k*y = -5*y + 2*c - 3, 0 = -y - 3*c + 13. Does 16 divide (8/10)/(y/60)?
True
Let l = 212 - 61. Let n = l - 44. Suppose -239 = -5*s - r, -r + n - 12 = 2*s. Is s a multiple of 12?
True
Let q = 45 + -45. Suppose -4*x + x + 360 = q. Is 11 a factor of x?
False
Let x(u) = -2*u**3 + 5*u**2 - 8*u - 14. Let c be x(-5). Let w = -176 + c. Does 39 divide w?
False
Let b(z) = 4*z**2 + 8*z + 9. Let a = 10 - 3. Let n be b(a). Suppose 0 = 3*p - n + 45. Is 16 a factor of p?
False
Let y = -241 + 438. Is y a multiple of 24?
False
Let s(q) = -136*q + 8. Is s(-3) a multiple of 13?
True
Suppose -5*o - 2*x + 1172 = -x, -711 = -3*o + 2*x. Is 25 a factor of o?
False
Suppose 2*a - 6*a = 0. Suppose a = 3*w, -t + 3*w + 68 = -5*t. Let r = t + 31. Does 9 divide r?
False
Suppose -105 = 3*w - 0*w. Suppose 2*x = x + 3*l - 66, 0 = -2*x - 2*l - 124. Let g = w - x. Is g a multiple of 14?
True
Let s(v) = 4*v
|
{
"pile_set_name": "DM Mathematics"
}
|
4
c
Let p be 4/(-18)*(-16)/48. What is the third smallest value in -0.2, 0.2, p, 1/11?
1/11
Let l be ((-2)/1)/(1 - (-18)/(-15)). Which is the second smallest value? (a) l (b) -5 (c) 5
c
Let o = -1.1 + -1.9. Let z = -5.05 - -0.05. What is the third smallest value in o, -1/6, z?
-1/6
Let b = 2.6 + -2.5. What is the biggest value in -0.03, b, 2?
2
Let y(s) be the second derivative of -s**3/3 + 15*s**2/2 - s. Let i be y(7). What is the third biggest value in 4, i, -2?
-2
Let h = -7 + 4.6. Let m = h + 2. What is the biggest value in m, 2/15, -0.2?
2/15
Let s = 0.23 - -3.57. Let z = s + 0.2. Let q = -2.3 + 2. What is the third smallest value in q, -1, z?
z
Let z = 1003/1260 - -1/252. Let h = -5 - -5.4. Let s = -0.1 - h. What is the smallest value in z, -5, s?
-5
Let k = 74 - 70. What is the second biggest value in k, -31, -0.4?
-0.4
Let r = 59/2 - 88/3. Let q = -0.39 + 4.59. Let l = -4 + q. Which is the biggest value? (a) r (b) l (c) 0.5
c
Let z = 94 + -88. What is the smallest value in -1/2, z, 0.2, 2/5?
-1/2
Let f = 46.6 + -52. Let l = -0.9 + 5.9. Let u = l + f. What is the second smallest value in u, -5, -0.1?
u
Suppose 5*d = 5*p + 30, 0 = -2*d + 4*d + 2*p. Suppose 9*x + 8 + 10 = 0. What is the biggest value in 3/2, x, d?
d
Let c be (-6)/(-3) - (2 + 23). What is the smallest value in c, -4, 0.4?
c
Let o = -8 - -3. Let i = 2 + o. Which is the biggest value? (a) 2/5 (b) i (c) 3
c
Let u = -0.02 - -0.1. Let d = -1.08 + u. Let b(c) = c**3 - 4*c**2 + 2*c + 4. Let i be b(3). What is the smallest value in -0.2, i, d?
d
Let h = -10 - -13. Which is the third smallest value? (a) 0 (b) h (c) 0.3
b
Let a(k) = k**2 + 5*k - 6. Let s be a(-5). What is the third smallest value in 2, 0, s?
2
Let s(u) = -2*u - 1. Let q be s(1). Which is the smallest value? (a) -0.4 (b) -0.2 (c) 6 (d) q
d
Let u = 82.4 + -82. What is the second biggest value in -1/7, 3, u?
u
Let h = 0.8 - -3.2. Let l = -1 - -0.8. What is the second biggest value in l, -5, h?
l
Let x = -0.3 - -0.5. Which is the second biggest value? (a) -6/7 (b) 5 (c) -1 (d) x
d
Let x be (200/28)/5 + (1 - 3). Which is the smallest value? (a) 3 (b) x (c) -2 (d) 0
c
Let z = -3.4 + 22.4. Let r = -22 + z. What is the third smallest value in 3, 2/11, r?
3
Let y be (-3 + 4)*(0 + 2). Let s be (-4)/y*(-6)/(-6). What is the smallest value in s, 2/17, -2/9?
s
Suppose -s + 2 - 4 = 0. Suppose -4*q + 2*q = -8. Which is the third smallest value? (a) 2 (b) s (c) q
c
Let d = 0.05 - -0.15. Let c = -2.9 + 2.7. What is the third biggest value in c, d, -0.1?
c
Suppose 4*y = -y - 10. Which is the third smallest value? (a) 6 (b) -2/7 (c) y
a
Let u = -884109 - -325351845/368. Let r = u + 13/16. Let s = 0.1 - 0.2. Which is the second smallest value? (a) 0.4 (b) s (c) r
c
Let j be (1/(-4))/(2/(-12)). Let m = 19 - 19.18. Let g = 0.28 + m. Which is the second biggest value? (a) j (b) g (c) -4
b
Let v(l) = l**2 - l + 1. Let p be 2/4*(-1 - -3). Let x be v(p). Let u be -2 + 33/9 - x. Which is the biggest value? (a) u (b) -0.1 (c) 3/7
a
Suppose 4*i = -3*n - 1462, 3*i - 2696 = 4*n - 755. Let d be n/(-80) + (-3)/(-5). Let j = d - 63/10. What is the second biggest value in j, 2, 0?
j
Let l(i) be the second derivative of -i**4/12 - 5*i**3/6 - i**2 + 2*i. Let t be l(-4). Let s = -3 - -4. What is the biggest value in 3/2, s, t?
t
Suppose 4*r + 4 = -p - 3, r - 11 = 4*p. Let h = -23 + 23.1. Let n = -0.41 - -0.01. What is the third biggest value in n, p, h?
p
Let u = 104 + -934/9. Let b = 7.4 + -7. What is the second biggest value in 0.3, b, u?
0.3
Let p = 860313 - 16341195/19. Let z = p + -250. What is the third smallest value in -0.3, z, 5?
5
Let p(i) = -i**2 - 15*i + 15. Let x be p(-16). What is the third smallest value in x, 0, 0.1, -0.2?
0
Let i = 16.5 - 16.4. Let y = 10 - 6. Let v be 1/y + (-2)/4. What is the smallest value in -2, v, i?
-2
Let d = -13/30 - -1/10. Let t = -21/2 - -81/8. Which is the third biggest value? (a) d (b) t (c) 0
b
Let b = 1.8 - 1.7. What is the second smallest value in 5, b, 3, -2?
b
Let v = 0.6 + -0.2. Let b be 81/(-90) - (-2)/5. What is the smallest value in 1, v, b?
b
Let v = -2.39 + 2.3. Let y = v + 0.04. Let w = y + -0.25. Which is the biggest value? (a) w (b) -4 (c) -0.4
a
Let s = 1 - 0. Let v = 1 - 0. Let l = v - 4. Which is the smallest value? (a) -4 (b) l (c) s
a
Let k = 178 - 184. Which is the third smallest value? (a) k (b) -0.8 (c) 5
c
Let z = -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 6. Let z be s(-1). Which is smaller: z or 49?
z
Suppose 4*p - 65 = -p + 3*c, -55 = -5*p + 5*c. Suppose -p*b = -15*b. Which is smaller: 1/30 or b?
b
Let h = 10 - 8. Let n(i) = -i**3 + 2*i**2 - i + 38. Let k be n(4). Is k at most as big as h?
True
Let v(b) = -15*b + 308. Let q be v(25). Which is bigger: -68 or q?
q
Let b = 2003 - 2038. Which is greater: b or -1/4?
-1/4
Let v = -9 + 10. Let k be 24/v*(-3)/(-6). Let p = k - 4. Is 7 != p?
True
Let b = -578 + 124. Is b >= -453?
False
Let n = 66 + -86. Is n <= 1/3?
True
Let v = 238963 + -3820721/16. Let m = 168 - v. Suppose 0 + 0 = -4*a. Is a greater than m?
False
Let q be (0 - 8/(-44)) + 373484/(-550). Let t = q - -679. Is t not equal to 1?
True
Let d be -186*(-1 + -1*20/(-5)). Which is greater: -556 or d?
-556
Suppose 0 = -3*g + 65 + 103. Let o = 63 - g. Are o and 11 non-equal?
True
Let p be (-504)/(-944) + 1/(-2). Let y = -8/15883 + 843215/2811291. Let j = y + p. Is -1 > j?
False
Suppose 0 = 4*z + 3*x + 12, -z = z - 3*x - 12. Suppose z*n = 5*b - 2*n - 34, 2*n + 10 = 2*b. Let g be (-11)/(-4) - 6/b. Are -2 and g unequal?
True
Let j(x) = x**2 + 6*x + 4. Let v be j(-7). Let d be 10/55 + 31/v. Suppose 13 = -p - d*a, 2*p - 4*a = 25 - 1. Which is greater: p or 4?
4
Let o = -61 - -94. Which is smaller: o or 37?
o
Suppose r = 15*d - 18*d - 17, -4*d - 12 = 4*r. Suppose -7 = -4*l - f, 0 = 4*l - 4*f - 41 + 9. Is d at most as big as l?
True
Let w = -150 - -18. Which is bigger: w or -133?
w
Let c be ((-8)/14)/((-8)/(-28)). Which is bigger: c or -23/13?
-23/13
Suppose 5315 = -22*t - 4431. Is -443 less than t?
False
Let d(a) = -a**3 - 32*a**2 - 33*a - 61. Let m be d(-31). Which is greater: -1/197 or m?
m
Suppose 7*c = 4*c. Suppose -a + c*a + 1 = -5*n, -3*a + 3 = n. Let w(g) = g**3 + 20*g**2 + 6*g + 112. Let j be w(-20). Which is bigger: j or a?
a
Suppose 102 = -0*n + n. Let t = n + -103. Which is smaller: t or 1/17?
t
Suppose i - 12 = -3. Let y = 14 - i. Suppose t + n = -4*n - 7, 5*t + 35 = y*n. Is -7 > t?
False
Let t = -164 - -2951/18. Suppose 0 = -b - 4 + 18. Let r be 3/2 - 7/b. Is r greater than t?
True
Let m = -0.1751 + -0.1249. Which is greater: m or 144?
144
Let v = -195 - 250. Which is bigger: v or -446?
v
Let h = -22753/2 + 11379. Let z = -1 + -1. Let b = z - -3. Is h at most b?
False
Let f = -17 + 14. Let g = f - 8. Let u = 12 + g. Is u bigger than -1/7?
True
Let n = -29 + 23. Let o = n + 6. Is -37 less than o?
True
Let t = 1162 + -1162.08. Are t and 5 nonequal?
True
Suppose -y - h = 56, -2*y - 7*h + 3*h = 112. Which is smaller: -55 or y?
y
Let w = -4 - -9. Suppose 5*m - 3*m + c - 1 = 0, 4 = w*m + 4*c. Let r = 1187 + -5937/5. Which is smaller: m or r?
r
Suppose -7*h = -2*h - 55. Suppose 99 = -2*x + 105. Let k = h - x. Is 8 less than k?
False
Let o be (-2)/4 + -369*9/(-54). Which is smaller: -3 or o?
-3
Suppose -d + 3*s = -s + 19, 2*d = 2*s - 14. Let w be (-17)/(-9) + -3 + -2. Are w and d unequal?
True
Let a = 77719/82 + -1895/2. Let q = 10 - 10. Do a and q have the same value?
False
Let q be -6*((-55)/15 + 3). Suppose 2*p = -4*r - 5 + 3, q*r = p - 11. Is p equal to 13?
False
Let s = 30620/61 - 502. Is s less than -1?
False
Let r = 6 + -5.3. Let h = 0.4 - 0. Let y = r - h. Is y smaller than -0.1?
False
Let y = -48.8 + 48.94. Which is smaller: -4/5 or y?
-4/5
Suppose -6 - 2 = -y - 5*v, 2 = -v. Let x be (-4)/6 - (-732)/y. Which is smaller: x or 39?
39
Suppose -37 + 8 = -y. Let o = y + -25. Which is smaller: 5 or o?
o
Let y(a) be the second derivative of a**7/2520 - a**5/120 - a**4/4 - 3*a. Let g(k) be the third derivative of y(k). Let s be g(1). Is 0.04 bigger than s?
True
Let x = 45 - 45. Suppose x = -i - y - 9, y = 4*i - 2*y + 1. Is -3 smaller than i?
False
Let z be (-22)/(-55) - 9896/(-10). Let a be 2/7 - z/525. Is a greater than or equal to -2?
True
Let n = 47 + 4. Are 49 and n equal?
False
Let z(x) = -2*x**3 - 14*x**2 + 10*x + 9. Let k be z(-8). Are 7 and k unequal?
True
Let h be 26/10 + (-1 - 2). Let r = -49 + 28. Let m be 77/r - (-3 + 0). Which is greater: h or m?
h
Let d(o) = -o**3 + 5*o**2 + 2*o - 1. Let y be d(5). Let w be (y/(-6))/((-3)/(-32)). Let n = w - -239/15. Is n > 0?
False
Let c be (1/(5/40))/2. Suppose -c*d + 18 = -34. Is d greater than or equal to 13?
True
Let b = 515 - 21122/41. Is b at most -1?
False
Let n = 0.059 - -0.041. Which is greater: n or -2/13?
n
Suppose 0 = 171*g - 155*g - 16. Which is greater: -2/265 or g?
g
Let a = -33 + 65. Suppose -a + 87 = 5*c. Is c at most 11?
True
Let q be 3*(-7)/((-63)/12). Suppose -3*i - 23 = -4*b, -3*i + q = 5*b - 18. Let m be (-2 - 0 - i)*8. Is -6
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the greatest common factor of 760 and 320.
40
What is the highest common factor of 63 and 18?
9
Calculate the greatest common divisor of 48 and 2712.
24
Calculate the highest common divisor of 15 and 2235.
15
What is the greatest common factor of 37 and 111?
37
Calculate the greatest common factor of 18 and 3285.
9
What is the greatest common divisor of 9 and 198?
9
Calculate the highest common factor of 3880 and 10.
10
What is the greatest common factor of 672 and 21?
21
What is the highest common divisor of 82 and 168?
2
Calculate the highest common factor of 4270 and 350.
70
Calculate the highest common divisor of 10 and 570.
10
Calculate the greatest common divisor of 12 and 45.
3
Calculate the greatest common factor of 14 and 12.
2
What is the greatest common factor of 108 and 162?
54
Calculate the highest common factor of 13 and 17979.
13
What is the highest common divisor of 1295 and 21?
7
Calculate the greatest common factor of 33 and 22.
11
Calculate the highest common factor of 2016 and 99.
9
What is the highest common factor of 28 and 7063?
7
What is the greatest common divisor of 3920 and 42?
14
Calculate the highest common factor of 30 and 465.
15
What is the highest common factor of 3441 and 1443?
111
Calculate the highest common divisor of 680 and 272.
136
What is the highest common divisor of 1 and 419?
1
What is the highest common divisor of 80 and 130?
10
What is the highest common factor of 5577 and 11?
11
What is the highest common divisor of 36 and 102132?
36
Calculate the greatest common factor of 1575 and 63.
63
Calculate the highest common divisor of 749 and 2461.
107
What is the highest common factor of 67 and 3216?
67
Calculate the highest common factor of 8 and 4808.
8
What is the highest common divisor of 39 and 7852?
13
What is the greatest common factor of 371 and 112?
7
Calculate the greatest common factor of 676 and 988.
52
Calculate the highest common factor of 1125 and 150.
75
Calculate the highest common divisor of 654 and 114.
6
What is the highest common divisor of 3 and 507?
3
What is the greatest common divisor of 2 and 130?
2
What is the greatest common divisor of 4009 and 19?
19
Calculate the greatest common divisor of 154 and 31339.
77
Calculate the highest common factor of 30 and 12.
6
What is the greatest common factor of 602 and 3913?
301
Calculate the highest common factor of 692 and 4.
4
Calculate the highest common factor of 9646 and 28.
14
Calculate the highest common divisor of 128565 and 45.
45
Calculate the greatest common divisor of 30 and 40.
10
What is the highest common divisor of 230 and 69?
23
Calculate the highest common divisor of 216 and 8.
8
What is the greatest common divisor of 428 and 36?
4
Calculate the highest common factor of 7 and 2933.
7
What is the highest common factor of 40 and 700?
20
Calculate the greatest common factor of 230 and 598.
46
What is the highest common divisor of 2598 and 9?
3
What is the highest common divisor of 4830 and 1890?
210
What is the highest common factor of 1647 and 81?
27
What is the highest common factor of 78 and 351?
39
Calculate the greatest common divisor of 2 and 2503.
1
What is the greatest common factor of 273 and 52?
13
What is the greatest common divisor of 68 and 344?
4
Calculate the greatest common divisor of 34 and 51.
17
What is the greatest common factor of 105 and 97545?
105
What is the greatest common factor of 6 and 717?
3
Calculate the greatest common factor of 713 and 69.
23
Calculate the greatest common divisor of 30 and 12.
6
Calculate the greatest common divisor of 156 and 35724.
156
Calculate the highest common factor of 28 and 36.
4
What is the greatest common divisor of 374 and 153?
17
Calculate the highest common divisor of 138 and 87216.
138
What is the greatest common divisor of 20 and 30860?
20
Calculate the highest common factor of 2475 and 297.
99
Calculate the highest common factor of 19 and 475.
19
What is the highest common divisor of 6 and 44?
2
Calculate the greatest common divisor of 299 and 69.
23
Calculate the highest common factor of 384 and 552.
24
What is the highest common divisor of 2058 and 1050?
42
What is the greatest common divisor of 896 and 28?
28
What is the greatest common divisor of 1740 and 48?
12
Calculate the highest common divisor of 90 and 330.
30
Calculate the highest common factor of 3904 and 16.
16
What is the greatest common divisor of 812 and 140?
28
Calculate the highest common factor of 336 and 11904.
48
What is the highest common factor of 4396 and 84?
28
What is the highest common divisor of 33 and 121?
11
What is the greatest common factor of 18354 and 46?
46
Calculate the greatest common divisor of 116 and 406.
58
What is the greatest common divisor of 425 and 200?
25
Calculate the greatest common divisor of 87 and 377.
29
What is the greatest common factor of 35273 and 7?
7
Calculate the highest common divisor of 107 and 2675.
107
What is the highest common factor of 15962 and 1735?
347
Calculate the highest common factor of 37 and 592.
37
What is the greatest common divisor of 126 and 288?
18
Calculate the greatest common divisor of 249 and 3.
3
Calculate the highest common divisor of 40 and 512.
8
Calculate the highest common factor of 78 and 6.
6
Calculate the highest common divisor of 832 and 26.
26
What is the greatest common factor of 370 and 20?
10
Calculate the greatest common factor of 11269 and 59.
59
Calculate the greatest common factor of 1602 and 36.
18
What is the highest common divisor of 42 and 560?
14
Calculate the highest common divisor of 13 and 1963.
13
Calculate the highest common divisor of 15 and 485.
5
What is the highest common divisor of 6305 and 65?
65
Calculate the highest common divisor of 754 and 78.
26
What is the greatest common factor of 756 and 60?
12
Calculate the greatest common factor of 58 and 3683.
29
Calculate the greatest common divisor of 90 and 234.
18
Calculate the highest common factor of 54 and 702.
54
Calculate the greatest common factor of 270 and 405.
135
Calculate the greatest common divisor of 8938 and 410.
82
Calculate the highest common divisor of 1071 and 1512.
63
What is the greatest common factor of 264 and 40?
8
What is the highest common factor of 66520 and 40?
40
Calculate the greatest common factor of 77 and 121.
11
What is the greatest common factor of 40 and 260?
20
Calculate the highest common divisor of 94 and 3.
1
Calculate the greatest common factor of 68 and 34.
34
Calculate the highest common factor of 725 and 87.
29
Calculate the greatest common factor of 319 and 3480.
29
What is the greatest common divisor of 2958 and 754?
58
What is the greatest common divisor of 9 and 24?
3
What is the highest common factor of 20 and 50?
10
Calculate the greatest common divisor of 748 and 1100.
44
What is the greatest common divisor of 6 and 78?
6
What is the highest common factor of 12 and 1668?
12
Calculate the highest common factor of 2065 and 35.
35
What is the highest common factor of 91 and 130?
13
Calculate the highest common factor of 14 and 20797.
7
What is the highest common divisor of 3440 and 43?
43
What is the greatest common divisor of 116 and 428?
4
Calculate the greatest common factor of 568 and 2.
2
Calculate the greatest common factor of 10692 and 44.
44
Calculate the highest common divisor of 164 and 4.
4
What is the highest common divisor of 24 and 528?
24
What is the highest common factor of 9 and 1809?
9
What is the greatest common factor of 144 and 6384?
48
Calculate the highest common factor of 18 and 522.
18
What is the greatest common divisor of 42 and 34?
2
Calculate the greatest common factor of 247 and 190.
19
What is the highest common factor of 46 and 1150?
46
What is the greatest common factor of 14 and 143402?
14
What is the greatest common divisor of 1628 and 44?
44
Calculate the highest common divisor of 16 and 44.
4
What is the highest common divisor of 4681 and 961?
31
What is the highest
|
{
"pile_set_name": "DM Mathematics"
}
|
375
How many millilitres are there in 6/5 of a litre?
1200
How many weeks are there in 1314.429417 nanoseconds?
0.0000000000021733290625
How many litres are there in 450992.1 millilitres?
450.9921
Convert 2.1404583 hours to days.
0.0891857625
How many nanograms are there in 42/5 of a microgram?
8400
Convert 0.6681791ug to milligrams.
0.0006681791
Convert 1777.892mg to nanograms.
1777892000
What is 2/15 of a century in months?
160
What is eighteen fifths of a minute in seconds?
216
Convert 0.2678289ml to litres.
0.0002678289
What is 21/5 of a meter in millimeters?
4200
How many micrograms are there in 12776.1t?
12776100000000000
How many nanoseconds are there in 18/5 of a microsecond?
3600
How many months are there in five sixths of a century?
1000
How many centuries are there in 3/5 of a millennium?
6
What is thirteen ninths of a day in minutes?
2080
How many litres are there in 0.6584483 millilitres?
0.0006584483
How many millilitres are there in 9/10 of a litre?
900
What is fifteen quarters of a millimeter in micrometers?
3750
What is twenty-nine fifths of a second in milliseconds?
5800
Convert 310068.4t to micrograms.
310068400000000000
What is 38035.55ug in grams?
0.03803555
What is 47611.91ug in tonnes?
0.00000004761191
What is one tenth of a meter in millimeters?
100
How many kilograms are there in one fifth of a tonne?
200
What is thirty-two fifths of a gram in milligrams?
6400
What is 7.12401ns in microseconds?
0.00712401
How many minutes are there in 0.0683402 weeks?
688.869216
How many kilograms are there in 855.5213ug?
0.0000008555213
How many nanograms are there in 802676.7 tonnes?
802676700000000000000
How many milligrams are there in thirteen fifths of a gram?
2600
What is three fifths of a litre in millilitres?
600
How many kilometers are there in 156.3314 micrometers?
0.0000001563314
What is 3/32 of a kilometer in centimeters?
9375
What is 1120.138s in nanoseconds?
1120138000000
What is 533.49l in millilitres?
533490
What is three tenths of a millennium in months?
3600
How many millilitres are there in 53/4 of a litre?
13250
How many litres are there in 0.4749244 millilitres?
0.0004749244
Convert 5.670128 millilitres to litres.
0.005670128
What is twenty-seven fifths of a century in decades?
54
What is 1/20 of a millisecond in microseconds?
50
What is 93.57941kg in milligrams?
93579410
How many nanoseconds are there in five quarters of a microsecond?
1250
How many hours are there in 791.42157 nanoseconds?
0.000000000219839325
What is 2.048073t in milligrams?
2048073000
Convert 1724734.5 months to centuries.
1437.27875
Convert 129218.3l to millilitres.
129218300
What is 80857.2 centimeters in millimeters?
808572
Convert 81.03594cm to kilometers.
0.0008103594
How many litres are there in 0.8731483ml?
0.0008731483
How many seconds are there in 1/18 of a day?
4800
Convert 9.844787 millilitres to litres.
0.009844787
How many grams are there in 3100.851kg?
3100851
How many hours are there in 10/3 of a week?
560
What is 1/10 of a meter in micrometers?
100000
What is fifty-five halves of a millimeter in micrometers?
27500
How many kilometers are there in 37.10304mm?
0.00003710304
How many nanoseconds are there in twenty-nine fifths of a microsecond?
5800
What is 3/8 of a kilogram in grams?
375
How many seconds are there in 11/2 of a hour?
19800
What is 883198.4nm in centimeters?
0.08831984
How many millimeters are there in 47/4 of a meter?
11750
What is 653.9955 decades in months?
78479.46
What is twenty-one fifths of a litre in millilitres?
4200
What is 3/40 of a microgram in nanograms?
75
What is 30161.34 litres in millilitres?
30161340
How many millilitres are there in 37/5 of a litre?
7400
How many meters are there in one quarter of a kilometer?
250
Convert 1560389.103 milliseconds to weeks.
0.0025800084375
What is 1/6 of a year in months?
2
How many micrometers are there in 3/50 of a meter?
60000
How many grams are there in 47673.8 nanograms?
0.0000476738
What is 693.9058 grams in milligrams?
693905.8
What is 0.8405346 grams in tonnes?
0.0000008405346
What is 18/5 of a century in months?
4320
How many grams are there in 644738.1mg?
644.7381
How many milligrams are there in 1/10 of a kilogram?
100000
How many micrograms are there in seven halves of a milligram?
3500
How many years are there in 1/4 of a century?
25
How many milliseconds are there in 155767.7ns?
0.1557677
How many milliseconds are there in seven eighths of a second?
875
What is fourty-three quarters of a gram in milligrams?
10750
Convert 7696.345us to milliseconds.
7.696345
How many minutes are there in 52/3 of a day?
24960
How many months are there in 65/3 of a year?
260
What is 10/3 of a millennium in months?
40000
What is 240916.68 months in centuries?
200.7639
How many millilitres are there in 3/25 of a litre?
120
How many minutes are there in thirty-one halves of a day?
22320
How many millilitres are there in 42/5 of a litre?
8400
How many micrograms are there in fifty-one halves of a milligram?
25500
What is one sixteenth of a century in months?
75
How many millimeters are there in 8415.936m?
8415936
How many micrograms are there in 71965.03kg?
71965030000000
How many minutes are there in 27743.538us?
0.0004623923
What is 0.2080084 centuries in millennia?
0.02080084
How many grams are there in seventeen quarters of a kilogram?
4250
How many milligrams are there in 0.1223652kg?
122365.2
What is 55.58782 litres in millilitres?
55587.82
How many months are there in 52/3 of a year?
208
How many millimeters are there in 5.1139nm?
0.0000051139
What is 8.636798 millimeters in centimeters?
0.8636798
Convert 94.2104ug to nanograms.
94210.4
Convert 88.96268l to millilitres.
88962.68
How many nanograms are there in 3/32 of a milligram?
93750
How many litres are there in 0.2516286ml?
0.0002516286
What is 4/3 of a week in minutes?
13440
How many kilograms are there in 55/2 of a tonne?
27500
What is 901654.6cm in kilometers?
9.016546
How many years are there in 26/5 of a millennium?
5200
What is 34.8649 grams in milligrams?
34864.9
How many millilitres are there in 831160.8l?
831160800
What is 26/7 of a week in hours?
624
What is fifteen quarters of a gram in milligrams?
3750
How many millilitres are there in 18/5 of a litre?
3600
What is thirteen quarters of a decade in months?
390
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
k**(-2/7)*k)/k))/((k*k**14*k)/k**2))**27 assuming k is positive.
k**(-11259/35)
Simplify w**3/w**(2/17)*(w*w*w/((w/(w**(2/3)*w))/w))**(-7/3)*((w*w**(-2/15))/w**(4/9))/((w/w**(-1))/(w/(w*w/w**5*w))) assuming w is positive.
w**(-1679/255)
Simplify ((i*i*i**(2/7))**45/(i**1/(i**0/i)))/((i**2/(i**2*i))/(i**0*i)**50) assuming i is positive.
i**(1063/7)
Simplify ((g/(g*g*g**(-1)))**(2/71)/((g*g**(-2/3))/(g*g*g/g**(-1)*g*g)))/(g*g*g**(-12)/g*g**(2/21)/g)**(33/2) assuming g is positive.
g**(4244/21)
Simplify (j**(1/8)*j/(j/(j/j**(-2))))/(j/j**(1/9)*j/(j*j*j**(-3/4)))*(j**(-12)/j*j**3)**(4/9) assuming j is positive.
j**(-47/24)
Simplify (g/(g/(g/g**(-13/2))))**(1/8)*g**(-1/4)/(g**(-5/3)*g) assuming g is positive.
g**(65/48)
Simplify ((m/m**(-1/3))**(-18)*(m**1/m)**(1/3))/(((m*(m*m/(((m*m*(m/(m/(m*m**6))*m)/m)/m)/m))/m)/m)/(m**(2/9)/m)*m**(-5)*m**(1/2)) assuming m is positive.
m**(-257/18)
Simplify (l*l**(-3)*l*l/(l**(-3/4)*l)*(l/((l**1/l)/l))**(3/5))/((l**(1/3))**(-6/17))**44 assuming l is positive.
l**(2083/340)
Simplify ((t/t**(1/2)*t*t*t*t)**(-2/37)*(t*t*t/(t*t**4)*t*t)/t**(-2/3))/((((t*t*t**(1/6))/t)/t)/((t*t*t**4)/t))**36 assuming t is positive.
t**(19361/111)
Simplify ((n/(n*n*n**1)*n*n)**36/(n**(2/5))**(-13/4))/((n**2/n)/n**(-4)*n**(3/7)/n**(1/3)) assuming n is positive.
n**(-797/210)
Simplify (l**(-2/17)/(l**(-1/3)/l))**(21/2)*(((l/(l/(l/(l**(-4/5)*l))))/l)/(l/(l/(l/l**(-5)))))/(l**(2/7)/l**(1/3)) assuming l is positive.
l**(11803/1785)
Simplify ((v/v**(8/7)*v*v**(3/11))**(1/4))**(8/3) assuming v is positive.
v**(58/77)
Simplify (c/c**(13/5)*(c*c/c**(-8))/c*(c**(-1)/c)**2)**(14/3) assuming c is positive.
c**(238/15)
Simplify ((c**(-1/3))**(-33))**(-7)/(c*c*c**(4/7)*c*((((c/(c/(c/((c/c**(-6))/c))))/c*c)/c)/c*c)/c*c**2/(c**(3/2)/c)) assuming c is positive.
c**(-1051/14)
Simplify (w**2*w)**28/(w*w*w**2/w*w*w**8/w)*w/w**(1/6)*w*w**(1/4)*(w/((w/w**(-1)*w)/w))**(3/40) assuming w is positive.
w**(9001/120)
Simplify ((l**5)**(-2/93)*l**(-20)/l**12)**(8/15) assuming l is positive.
l**(-23888/1395)
Simplify ((z*(((z**9*z)/z)/z)/z*z*z)/z*z**(2/3))**(-2/149)*(z*(z**2/z)/z)**(-3/19)/(z*z/(z*z/z**(1/4)*z))**(-1/20) assuming z is positive.
z**(-220919/679440)
Simplify (i/i**(-4/5)*i**(-4/5)*i)**(-46)*i**6/(i*i**(-1/9)*i*i)*i**5*i**(-3)/i assuming i is positive.
i**(-791/9)
Simplify (l**5*l**(2/17))**(-28)*((l**(-2)/l*l)**(-4/15))**(-1) assuming l is positive.
l**(-36676/255)
Simplify ((a**(-1/4)/a)**(-1/36)/((a/(a*a**5/a))/a**(-2/7)))/((a/a**4)/a**(-4))**18 assuming a is positive.
a**(-14365/1008)
Simplify (b**(-2/39)*b/(b**(-10)*b*b)*b/(b*b**(4/7))*b/(b/b**(-26)))**(17/3) assuming b is positive.
b**(-81787/819)
Simplify (((w/(w/(w/(w**(-14)*w*w))))/w*w*w**(2/11)*w)/(w**(-1/14)/(w**(-11)/w)))**(39/5) assuming w is positive.
w**(13533/770)
Simplify (f/((f*f**(-20))/f)*f)**(-1/33)*(f**(-34)*f)/(f**(19/3)/f) assuming f is positive.
f**(-39)
Simplify ((d**(-1/2)/d)**(-4/9))**11*(d/d**(-2/3))**(11/5)/(d**(2/13)/d**(-2/7)) assuming d is positive.
d**(961/91)
Simplify ((l**(-1))**(-47))**29*(l**(2/7))**(-1/31)*(l/l**(-3/7))/(l*l*(l**(-4/3)/l*l)/l*l) assuming l is positive.
l**(126829/93)
Simplify (b**(4/13)/b**(2/9)*(b/(b/b**(-3)))**(-1))**(8/11) assuming b is positive.
b**(2888/1287)
Simplify (t**(1/10)/t**(-2/35)*t**15/t**(-11))**(-3/7) assuming t is positive.
t**(-5493/490)
Simplify (((w*w**(-1/6))/w**(-8/5))/((w/w**(-2/23))/w*w**(2/9)/w))**(17/4) assuming w is positive.
w**(109939/8280)
Simplify (w*w*w**0*w*w/(w/(w*((w*w*(w*w*(w/w**0)/w)/w*w)/w)/w)*w))/(w*(w*w*w/(w**(-2/5)/w))/w)**(-8)*(w**1*w*w**(1/2))/(w**(-1/4))**25 assuming w is positive.
w**(979/20)
Simplify (((l**(-1/2)*l)**23/(l**(-1/4)/(l**(-4)/l)))**36)**(1/53) assuming l is positive.
l**(243/53)
Simplify i*i*i**(-6)*i**(4/7)*(i**0)**(-4/11)*(i/(i/i**1))**(-14)/(i**1)**(-5/19) assuming i is positive.
i**(-2283/133)
Simplify ((c/c**0*c*c*c)**(-2/11)/(c**(2/5))**(-4/17))/((c*c*c/(c*(c/((c/(c/c**(-2/9)))/c))/c))/(c/c**6*c)*c**(-4/7)*c**(-4)) assuming c is positive.
c**(-49451/58905)
Simplify ((l/(l/l**(2/5)))**(-22/9))**(-43)*(l/(l*l**(-7/2))*l/l**2)**(5/7) assuming l is positive.
l**(27613/630)
Simplify ((x*x**(2/7)/x)**(-7/8)/(x*x*x**5*x**5))/((x**(-2/27)*x**4)/(x*x**(-1/3)/x*x*x)**(2/17))
|
{
"pile_set_name": "DM Mathematics"
}
|
llmlllllllllllll.
1/171
Four letters picked without replacement from {i: 1, a: 1, b: 3}. Give prob of sequence ibab.
1/20
Four letters picked without replacement from {s: 3, m: 2}. Give prob of sequence sssm.
1/10
Four letters picked without replacement from {s: 3, y: 2, i: 8, o: 2}. Give prob of sequence yyso.
1/2730
Calculate prob of sequence pp when two letters picked without replacement from pwwpwwwwwwwpwwwwk.
3/136
Calculate prob of sequence ghz when three letters picked without replacement from {h: 4, a: 6, z: 1, q: 2, g: 2}.
4/1365
Calculate prob of sequence th when two letters picked without replacement from {h: 2, q: 1, t: 2, j: 7, g: 4}.
1/60
Two letters picked without replacement from zcwggwuxwgwww. Give prob of sequence ux.
1/156
Calculate prob of sequence xx when two letters picked without replacement from {x: 9, d: 10}.
4/19
Two letters picked without replacement from eeeedeeedee. What is prob of sequence ee?
36/55
What is prob of sequence ypps when four letters picked without replacement from ggyppgypvyppsgyy?
5/2184
Two letters picked without replacement from njihhijnhjnhinjjnnn. What is prob of sequence ih?
2/57
Three letters picked without replacement from ffaermx. Give prob of sequence xmf.
1/105
Four letters picked without replacement from adtdttavteat. What is prob of sequence dttt?
1/99
Four letters picked without replacement from {y: 5, h: 15}. Give prob of sequence hhyy.
35/969
Calculate prob of sequence gg when two letters picked without replacement from {g: 5, e: 2, a: 7}.
10/91
What is prob of sequence wll when three letters picked without replacement from {l: 5, w: 3}?
5/28
Three letters picked without replacement from cakkcakkgkkgkgkckk. Give prob of sequence kga.
5/408
Two letters picked without replacement from maamaaamaaaaaamaaa. What is prob of sequence ma?
28/153
Calculate prob of sequence rtt when three letters picked without replacement from jcrjt.
0
What is prob of sequence ee when two letters picked without replacement from eeeq?
1/2
What is prob of sequence bk when two letters picked without replacement from {b: 3, k: 13}?
13/80
Two letters picked without replacement from {u: 9, c: 2}. What is prob of sequence uu?
36/55
Four letters picked without replacement from flffcbfl. Give prob of sequence fclb.
1/210
Four letters picked without replacement from ggggggggaa. Give prob of sequence ggga.
2/15
Four letters picked without replacement from {a: 7, k: 9}. Give prob of sequence aakk.
9/130
What is prob of sequence aaxx when four letters picked without replacement from ayxyayxxyy?
1/420
Three letters picked without replacement from lllkllyylllzlllllydl. Give prob of sequence dkz.
1/6840
Calculate prob of sequence nmn when three letters picked without replacement from {n: 2, l: 2, b: 6, m: 1}.
1/495
Calculate prob of sequence hhk when three letters picked without replacement from hhhhkkhhhkkk.
7/44
Three letters picked without replacement from jjzzffjz. Give prob of sequence ffz.
1/56
What is prob of sequence ouj when three letters picked without replacement from ujhoouc?
2/105
Calculate prob of sequence lqpp when four letters picked without replacement from {l: 1, q: 3, p: 3}.
3/140
Four letters picked without replacement from {n: 2, k: 3, p: 1, w: 1, c: 3, b: 2}. Give prob of sequence ccpk.
1/660
What is prob of sequence bcg when three letters picked without replacement from {c: 2, b: 1, g: 2}?
1/15
Four letters picked without replacement from tnvivio. Give prob of sequence vtno.
1/420
Three letters picked without replacement from {o: 2, r: 2, p: 4, u: 2, n: 2}. What is prob of sequence uru?
1/330
Four letters picked without replacement from lliqlejlei. Give prob of sequence illl.
1/105
Three letters picked without replacement from ijiiiijiiji. Give prob of sequence jii.
28/165
Calculate prob of sequence xff when three letters picked without replacement from {x: 14, f: 5}.
140/2907
Four letters picked without replacement from {i: 2, u: 2, t: 11}. What is prob of sequence uuii?
1/8190
Three letters picked without replacement from {s: 4, z: 7, w: 5}. What is prob of sequence sww?
1/42
What is prob of sequence yyp when three letters picked without replacement from {y: 2, z: 1, p: 4, n: 2, t: 1, o: 2}?
1/165
Two letters picked without replacement from {b: 3, t: 4}. What is prob of sequence bt?
2/7
What is prob of sequence cbb when three letters picked without replacement from {m: 5, z: 3, a: 1, b: 1, c: 1, h: 1}?
0
Three letters picked without replacement from ruroyoyuooy. Give prob of sequence yyr.
2/165
Three letters picked without replacement from uuuccyynnscmy. What is prob of sequence nms?
1/858
Three letters picked without replacement from wnwwwwnwwnnnnnww. What is prob of sequence nww?
3/20
What is prob of sequence onno when four letters picked without replacement from nnwonwnwnnwnyvoo?
3/520
Four letters picked without replacement from sasvaygwg. What is prob of sequence vyws?
1/1512
What is prob of sequence orq when three letters picked without replacement from fyonrnqf?
1/336
What is prob of sequence zxm when three letters picked without replacement from {m: 2, p: 4, z: 1, x: 1, n: 7}?
1/1365
Calculate prob of sequence afa when three letters picked without replacement from {f: 9, a: 2}.
1/55
Three letters picked without replacement from {j: 5, m: 8}. Give prob of sequence mmj.
70/429
Two letters picked without replacement from {h: 6, t: 2, u: 1, b: 5, d: 3, z: 2}. What is prob of sequence dt?
1/57
Calculate prob of sequence yiz when three letters picked without replacement from {z: 1, l: 1, y: 3, o: 1, i: 3, d: 2}.
1/110
What is prob of sequence pp when two letters picked without replacement from uppppuppppupppp?
22/35
What is prob of sequence mg when two letters picked without replacement from gthmq?
1/20
Calculate prob of sequence nt when two letters picked without replacement from {u: 1, c: 1, n: 1, t: 2}.
1/10
Calculate prob of sequence fd when two letters picked without replacement from dddndfdnpfddnpd.
8/105
Three letters picked without replacement from {y: 3, k: 1, p: 2, s: 1, l: 1, x: 3}. Give prob of sequence plp.
1/495
Calculate prob of sequence ajj when three letters picked without replacement from uajjj.
1/10
Four letters picked without replacement from dmdddmddoodr. Give prob of sequence romo.
1/2970
Three letters picked without replacement from {h: 5, p: 2, w: 6}. Give prob of sequence whh.
10/143
Two letters picked without replacement from {t: 6, m: 1, r: 3, x: 2, u: 3}. Give prob of sequence mx.
1/105
Four letters picked without replacement from {n: 2, p: 5, r: 2, y: 9}. Give prob of sequence prnp.
1/918
What is prob of sequence qgdu when four letters picked without replacement from {g: 7, n: 4, q: 1, d: 4, j: 1, u: 2}?
7/11628
What is prob of sequence ddt when three letters picked without replacement from dtdtdddddd?
7/45
What is prob of sequence tg
|
{
"pile_set_name": "DM Mathematics"
}
|
reatest common factor of 19550 and 4222018.
782
Calculate the highest common divisor of 207927 and 550800.
1377
What is the highest common divisor of 934 and 218270196?
934
Calculate the greatest common factor of 65 and 69179721.
13
Calculate the highest common factor of 928669659 and 17.
17
What is the highest common divisor of 27370408 and 1083444?
7684
Calculate the highest common divisor of 5168583 and 549.
9
Calculate the highest common divisor of 3076321 and 2032.
127
What is the greatest common factor of 11 and 32402150?
11
Calculate the highest common factor of 1125 and 2707750.
125
What is the highest common factor of 5393758 and 76?
38
Calculate the greatest common factor of 839150 and 1664.
26
What is the highest common divisor of 42876 and 1684868?
1588
What is the highest common divisor of 1520532 and 51623?
4693
Calculate the highest common divisor of 2106010 and 10.
10
What is the greatest common factor of 288 and 170581536?
288
Calculate the greatest common divisor of 1735688 and 1520.
152
What is the highest common factor of 4151720 and 17615?
1355
Calculate the highest common divisor of 6415292 and 943154.
2306
What is the greatest common factor of 10692822 and 6090?
1218
What is the greatest common factor of 176128 and 344?
344
What is the highest common divisor of 90093340 and 1220?
1220
What is the greatest common factor of 7858321 and 157?
157
Calculate the highest common divisor of 73344 and 256128.
384
Calculate the greatest common factor of 38016 and 10346292.
1188
Calculate the greatest common factor of 32 and 37584992.
32
Calculate the highest common factor of 135225 and 91275.
75
What is the highest common factor of 175566 and 69621?
3027
What is the greatest common divisor of 236272 and 65904?
16
What is the highest common factor of 132 and 32938840?
44
What is the greatest common factor of 1015 and 1008665?
35
What is the highest common factor of 2075688 and 7104192?
5448
What is the greatest common factor of 218541 and 105891?
2253
What is the highest common divisor of 2161848 and 39?
39
Calculate the highest common divisor of 29315 and 248870.
205
Calculate the highest common divisor of 329118839 and 10486.
5243
What is the highest common divisor of 47560 and 142390?
290
What is the highest common factor of 41138 and 70886?
134
Calculate the highest common divisor of 362 and 160902.
2
What is the highest common divisor of 52263806 and 1939?
1939
Calculate the highest common divisor of 751653 and 3649.
41
What is the highest common divisor of 894311 and 317813?
7391
Calculate the greatest common divisor of 36 and 467001702.
18
Calculate the greatest common factor of 135189 and 7767.
9
Calculate the greatest common divisor of 10656420 and 735.
15
What is the highest common factor of 6325 and 241100?
25
Calculate the highest common divisor of 1045382 and 2314.
26
Calculate the highest common factor of 1442070 and 1134.
378
What is the greatest common factor of 126672656 and 352?
176
What is the highest common factor of 180 and 14543865?
45
What is the greatest common divisor of 49 and 1192395?
1
What is the highest common factor of 18841403 and 39486?
6581
What is the highest common factor of 15 and 106182880?
5
What is the highest common factor of 1539 and 130404087?
1539
What is the greatest common factor of 9020427 and 234?
39
What is the greatest common divisor of 371330595 and 45?
45
Calculate the highest common factor of 93347 and 89165.
17
Calculate the highest common divisor of 77 and 56119448.
77
Calculate the highest common factor of 2060107 and 1764.
49
What is the greatest common divisor of 362 and 16770374?
362
What is the greatest common factor of 434882 and 6328?
14
Calculate the greatest common divisor of 742 and 38959382.
14
What is the greatest common divisor of 11083540 and 10020?
20
What is the greatest common factor of 146 and 6320851?
73
Calculate the greatest common factor of 16 and 57973624.
8
Calculate the highest common divisor of 478 and 22097940.
478
What is the greatest common divisor of 3502311 and 993?
993
What is the highest common factor of 1352034 and 1798?
62
What is the greatest common factor of 4217 and 121420081?
4217
Calculate the highest common divisor of 1012 and 47547302.
506
What is the highest common factor of 20500 and 21205500?
500
What is the highest common factor of 1370787 and 33?
33
Calculate the highest common factor of 3810653 and 3681.
409
Calculate the greatest common divisor of 102095114 and 1518.
506
Calculate the highest common factor of 22953684 and 624.
156
Calculate the highest common divisor of 13046992 and 42.
14
Calculate the greatest common divisor of 523127 and 1185448.
209
What is the greatest common divisor of 6832966 and 126?
14
Calculate the greatest common factor of 12026425 and 53245.
2315
What is the highest common divisor of 11235 and 129801165?
1605
What is the highest common factor of 112906208 and 76?
76
Calculate the greatest common factor of 327 and 488256998.
109
What is the greatest common factor of 23 and 30529694?
23
What is the greatest common factor of 51044230 and 10?
10
What is the highest common factor of 75949251 and 8721?
969
Calculate the highest common factor of 8583410 and 1045.
55
Calculate the greatest common factor of 136253 and 6244.
223
Calculate the greatest common divisor of 78645273 and 2161.
2161
Calculate the highest common divisor of 19600 and 535795400.
9800
Calculate the highest common divisor of 47437 and 3295136.
1157
Calculate the highest common factor of 194929 and 889.
7
Calculate the greatest common divisor of 67 and 241846349.
67
What is the greatest common factor of 5037803 and 73?
73
What is the highest common divisor of 3674940 and 24495?
345
What is the highest common factor of 3008441 and 14269?
19
Calculate the greatest common factor of 22196372 and 1240.
124
Calculate the greatest common divisor of 2375 and 1118359.
19
What is the greatest common divisor of 76478502 and 710?
142
Calculate the greatest common divisor of 4349741 and 209.
11
What is the highest common divisor of 21641 and 168929?
323
Calculate the highest common factor of 1981792 and 8653.
17
Calculate the highest common divisor of 29277 and 4012.
1
What is the greatest common divisor of 99530 and 23776910?
2690
What is the greatest common factor of 47701480 and 5?
5
What is the highest common divisor of 10272964 and 66300?
884
What is the highest common factor of 3600 and 442368?
144
Calculate the highest common divisor of 11522142 and 2976.
186
What is the greatest common divisor of 3559962 and 105?
21
Calculate the greatest common divisor of 6208 and 3241352.
776
What is the greatest common divisor of 42 and 4100999?
7
Calculate the greatest common divisor of 97276625 and 175.
25
What is the greatest common factor of 103392 and 4626433?
359
Calculate the greatest common divisor of 27920765 and 812.
29
What is the greatest common factor of 446307990 and 5430?
5430
Calculate the greatest common divisor of 500 and 559525.
25
What is the highest common factor of 3162012816 and 16?
16
Calculate the highest common divisor of 150 and 17429300.
50
What is the greatest common factor of 40077 and 25019874?
657
What is the greatest common divisor of 980 and 18480595?
245
Calculate the greatest common divisor of 728823600 and 240.
240
What is the highest common divisor of 4603176 and 108?
108
Calculate the highest common divisor of 16723250 and 3101.
443
Calculate the highest common factor of 8457024 and 663.
51
Calculate the highest common factor of 246 and 177
|
{
"pile_set_name": "DM Mathematics"
}
|
)*5)/(sqrt(7) - sqrt(77)/(-2*sqrt(11)))).
sqrt(3)/2 + 3
Simplify ((4*(sqrt(450) + sqrt(450)*-2*6 + -2*sqrt(450)*2))/(sqrt(27)/((sqrt(30)/sqrt(5))/sqrt(2))*5))**2.
7200
Simplify ((-3*(sqrt(132)/(sqrt(6)/sqrt(2)) + -1*sqrt(44)*-3))/(sqrt(196) + sqrt(196)*4 - 4*sqrt(32)/sqrt(8)))**2.
1584/961
Simplify (sqrt(60) + (sqrt(420) - sqrt(420)*2)/sqrt(7))/((sqrt(108) + (sqrt(108) - sqrt(108)*-1))/sqrt(9)) + (sqrt(60) - sqrt(540)*2)/(sqrt(12) - sqrt(108)*1).
5*sqrt(5)/2
Simplify (sqrt(288)*-2)**2*6*4 + 4 + 4*(-3 + (sqrt(288) - (-2 + sqrt(288)*-1))).
96*sqrt(2) + 27648
Simplify ((sqrt(104)*-3*2 + sqrt(104))/(sqrt(8) + 5*1*sqrt(8)) + 0 + 5)*-5.
-25 + 25*sqrt(13)/6
Simplify (-2*(-3 + sqrt(176) + sqrt(176)*2 + -1 + 2)*2*4)**2.
-12288*sqrt(11) + 406528
Simplify (5 + (sqrt(2057) - (sqrt(2057) + 1))*5 + -1 + 2)*2*-4.
-8
Simplify (-5 + (5 + 6*(1*sqrt(1900) - sqrt(1900)) - -5*(sqrt(1900) + 6*(sqrt(1900) + -2))))**2.
-42000*sqrt(19) + 2331100
Simplify (((-2 + sqrt(1331))*-6)**2 - (-6*(sqrt(1331)*-1)**2 - sqrt(1331))) + -1 - (3*6*6*(-3 + sqrt(1331)))**2.
-15573715 + 768251*sqrt(11)
Simplify -4*((1 + sqrt(180) + -3)**2 - (sqrt(180) + 0 + sqrt(180)*-2 + sqrt(180))**2) - ((sqrt(40) - -5*(sqrt(40) - sqrt(80)/sqrt(2)))/sqrt(8)*-5 + -5).
-731 + 101*sqrt(5)
Simplify (((sqrt(117) - (sqrt(117) + 2))*4 - -1*sqrt(117)*1) + 1 + sqrt(117) + 5 + (sqrt(117) - (sqrt(117) + sqrt(117) + 2 + -2)) + 2)**2.
117
Simplify ((sqrt(343) + 5 + 2)*2)**2 - ((sqrt(448) + 0)**2 - (2 + sqrt(175))).
397*sqrt(7) + 1122
Simplify (sqrt(1900) + (sqrt(1900)*-1 - sqrt(1900)) + -1 + -2*-2*sqrt(1900) + 2 + -2 + 2*sqrt(1900))**2.
-100*sqrt(19) + 47501
Simplify (5*(-1 + -6*(3*sqrt(325) + 5))*-1)**2*3.
418500*sqrt(13) + 7969575
Simplify (-4*(-1*sqrt(1210) + sqrt(10) + (sqrt(10) - sqrt(250)*1)))/(-1*-3*sqrt(288)*-1).
-14*sqrt(5)/9
Simplify 4*((sqrt(96)*-2*-6)/(sqrt(400)*-1))/(((sqrt(56) - 1*(sqrt(56)*-2 - sqrt(56))) + sqrt(56))/(sqrt(175)*-1)).
24*sqrt(3)/5
Simplify ((sqrt(17) + (sqrt(153) + sqrt(153)*-3)/sqrt(9))*4 + 5)**2 - -1*(sqrt(17) + (-2 + sqrt(153) - sqrt(153)))**2*1.
-44*sqrt(17) + 318
Simplify (((sqrt(90) + 2*sqrt(90)*4)/(-6*1*sqrt(9)))/(sqrt(18)/(sqrt(9) + sqrt(45)/sqrt(5) + sqrt(9)) + (sqrt(384) + sqrt(24))/sqrt(12)))**2.
405/1024
Simplify (6*(-1*sqrt(91)*4 - sqrt(91))*-4)/((sqrt(42)/sqrt(12))/(sqrt(12)/sqrt(54))).
80*sqrt(13)
Simplify (-1*-4*sqrt(135)/sqrt(5))**2 + -5*((-4 + sqrt(300))**2 + 3).
-1163 + 400*sqrt(3)
Simplify (sqrt(136) + (sqrt(136) - 4*1*sqrt(136)) + sqrt(136) + sqrt(136))/(sqrt(16)/(sqrt(2) - (sqrt(18) + sqrt(2)))) + -3 + (-1 + 2 + sqrt(1700))**2.
20*sqrt(17) + 1698
Simplify ((sqrt(36)/sqrt(2)*-1 - (sqrt(18) + sqrt(18) + -1 + sqrt(18) + -2 - sqrt(18)) - (-1 + sqrt(72) - sqrt(18))*-6)**2 + 4)*5.
-270*sqrt(2) + 875
Simplify 2*(-3 + 1 + (1 + -4 + sqrt(162) - (0 + sqrt(162) + 2)) + 3)**2.
32
Simplify 4*(-2 + 4*((-2 + sqrt(832))*6 + 4 + -1*sqrt(832)))**2.
-43520*sqrt(13) + 1335824
Simplify ((5*(sqrt(240) - sqrt(240)*-2))/sqrt(4))/(-3*(sqrt(300) - (1*sqrt(300) - sqrt(300)))*-2).
sqrt(5)/2
Simplify -3*(4 + (sqrt(200) + 2 + -4 - (sqrt(200) + (2*sqrt(200)*-4 - sqrt(200))))**2 + 1)*-3.
-3240*sqrt(2) + 145881
Simplify 3 + ((-4 + sqrt(1584)*-1 - sqrt(1584)*-1*2)*-1 + 6*(3 + (sqrt(1584) + 1)*-3))**2.
-1824*sqrt(11) + 571843
Simplify -4 + ((1 + 5*-1*sqrt(275) - (3*sqrt(275)*-1 - (2 + -1 + sqrt(275) - sqrt(275)))) + 4)**2.
-120*sqrt(11) + 1132
Simplify (sqrt(19) + -2)*1 - sqrt(19) - (sqrt(171)/(sqrt(9) - sqrt(576)))**2 - -5*4*(sqrt(19) - (-1*sqrt(209))/sqrt(11)).
-117/49 + 40*sqrt(19)
Simplify (sqrt(10) + -1*sqrt(10)*-3 + sqrt(10))/(sqrt(72) + sqrt(72)*3 + sqrt(72)) - ((-2*sqrt(330))/sqrt(11))/(sqrt(726) + sqrt(726)*3).
7*sqrt(5)/33
Simplify (-2*(sqrt(288) + 3 + sqrt(288)) + -3 + -5 + ((sqrt(288) + 1)*2 + sqrt(288) - sqrt(288)))**2 + 3.
576*sqrt(2) + 1299
Simplify (sqrt(7) - (sqrt(847)*-2 + sqrt(847)))*4 - (-1 + sqrt(28)/sqrt(4) + -4*(-1 + sqrt(7)))**2 - (1 + (4 + 5*(-2 + sqrt(567)))**2).
-14284 + 606*sqrt(7)
Simplify 5 + -3 + -4 + 1 + (2*(4 + 2*sqrt(343)))**2.
448*sqrt(7) + 5551
Simplify sqrt(10)/sqrt(32)*-6 + (sqrt(180) + 1 + 4)*-1.
-15*sqrt(5)/2 - 5
Simplify (sqrt(1900) + sqrt(1900) + 2*sqrt(1900) + 5 + (sqrt(1900) + 1)*-5 + -3 + -2)**2*3*-3.
-17325 - 900*sqrt(19)
Simplify (sqrt(156) - -3*(sqrt(156) - sqrt(156)*-1))/sqrt(12)*-3 + -2*((sqrt(13) - 4*(sqrt(13) + sqrt(208))) + -2*sqrt(832))**2.
-31850 - 21*sqrt(13)
Simplify -3*(sqrt(30)/sqrt(6)*-2 + 1) - (sqrt(1375)*1)/(sqrt(704) + 1*sqrt(704)).
-3 + 91*sqrt(5)/
|
{
"pile_set_name": "DM Mathematics"
}
|
root of 122993 to the nearest integer?
351
What is the cube root of 86929 to the nearest integer?
44
What is the square root of 1536 to the nearest integer?
39
What is the third root of 104 to the nearest integer?
5
What is 24630 to the power of 1/10, to the nearest integer?
3
What is 2497 to the power of 1/3, to the nearest integer?
14
What is the cube root of 98124 to the nearest integer?
46
What is the ninth root of 1237 to the nearest integer?
2
What is the square root of 12285 to the nearest integer?
111
What is 10278 to the power of 1/8, to the nearest integer?
3
What is 101882 to the power of 1/8, to the nearest integer?
4
What is the sixth root of 3759 to the nearest integer?
4
What is the cube root of 16463 to the nearest integer?
25
What is the fourth root of 35242 to the nearest integer?
14
What is the square root of 35843 to the nearest integer?
189
What is 44382 to the power of 1/3, to the nearest integer?
35
What is the tenth root of 40442 to the nearest integer?
3
What is 5311 to the power of 1/3, to the nearest integer?
17
What is 1698 to the power of 1/2, to the nearest integer?
41
What is the seventh root of 13215 to the nearest integer?
4
What is the square root of 10031 to the nearest integer?
100
What is 19361 to the power of 1/6, to the nearest integer?
5
What is 602 to the power of 1/3, to the nearest integer?
8
What is the fifth root of 80 to the nearest integer?
2
What is 7081 to the power of 1/5, to the nearest integer?
6
What is the third root of 966 to the nearest integer?
10
What is 1256 to the power of 1/8, to the nearest integer?
2
What is the square root of 70763 to the nearest integer?
266
What is 1641 to the power of 1/5, to the nearest integer?
4
What is 911 to the power of 1/2, to the nearest integer?
30
What is 56255 to the power of 1/6, to the nearest integer?
6
What is the fourth root of 9274 to the nearest integer?
10
What is the square root of 1466 to the nearest integer?
38
What is the cube root of 133689 to the nearest integer?
51
What is 323 to the power of 1/3, to the nearest integer?
7
What is 8168 to the power of 1/2, to the nearest integer?
90
What is the square root of 6470 to the nearest integer?
80
What is 4586 to the power of 1/2, to the nearest integer?
68
What is the cube root of 2291 to the nearest integer?
13
What is 45555 to the power of 1/3, to the nearest integer?
36
What is the square root of 44382 to the nearest integer?
211
What is the fourth root of 8858 to the nearest integer?
10
What is 13875 to the power of 1/5, to the nearest integer?
7
What is 11411 to the power of 1/7, to the nearest integer?
4
What is 46 to the power of 1/8, to the nearest integer?
2
What is 436 to the power of 1/3, to the nearest integer?
8
What is the seventh root of 20872 to the nearest integer?
4
What is the seventh root of 2413 to the nearest integer?
3
What is 1524 to the power of 1/8, to the nearest integer?
2
What is 1840 to the power of 1/2, to the nearest integer?
43
What is 3205 to the power of 1/5, to the nearest integer?
5
What is 2796 to the power of 1/2, to the nearest integer?
53
What is the square root of 3047 to the nearest integer?
55
What is the square root of 33090 to the nearest integer?
182
What is 62482 to the power of 1/2, to the nearest integer?
250
What is the sixth root of 1223 to the nearest integer?
3
What is the seventh root of 9942 to the nearest integer?
4
What is 11233 to the power of 1/7, to the nearest integer?
4
What is 136 to the power of 1/2, to the nearest integer?
12
What is the seventh root of 1949 to the nearest integer?
3
What is 2276 to the power of 1/2, to the nearest integer?
48
What is the third root of 95618 to the nearest integer?
46
What is 6452 to the power of 1/9, to the nearest integer?
3
What is the cube root of 63750 to the nearest integer?
40
What is 5858 to the power of 1/2, to the nearest integer?
77
What is 4388 to the power of 1/8, to the nearest integer?
3
What is 6651 to the power of 1/7, to the nearest integer?
4
What is 5922 to the power of 1/7, to the nearest integer?
3
What is the third root of 5847 to the nearest integer?
18
What is 1062 to the power of 1/3, to the nearest integer?
10
What is the eighth root of 110 to the nearest integer?
2
What is 2124 to the power of 1/2, to the nearest integer?
46
What is 63403 to the power of 1/2, to the nearest integer?
252
What is the seventh root of 18070 to the nearest integer?
4
What is the eighth root of 3376 to the nearest integer?
3
What is 151438 to the power of 1/7, to the nearest integer?
5
What is 707 to the power of 1/3, to the nearest integer?
9
What is 5497 to the power of 1/7, to the nearest integer?
3
What is the seventh root of 1464 to the nearest integer?
3
What is the third root of 5645 to the nearest integer?
18
What is the third root of 454 to the nearest integer?
8
What is the cube root of 4802 to the nearest integer?
17
What is the cube root of 1558 to the nearest integer?
12
What is 36602 to the power of 1/7, to the nearest integer?
4
What is 1880 to the power of 1/4, to the nearest integer?
7
What is the third root of 98916 to the nearest integer?
46
What is the eighth root of 686 to the nearest integer?
2
What is the third root of 20121 to the nearest integer?
27
What is 8057 to the power of 1/7, to the nearest integer?
4
What is the cube root of 2153 to the nearest integer?
13
What is the seventh root of 3692 to the nearest integer?
3
What is the square root of 997 to the nearest integer?
32
What is 4049 to the power of 1/2, to the nearest integer?
64
What is 8974 to the power of 1/2, to the nearest integer?
95
What is the cube root of 14225 to the nearest integer?
24
What is the ninth root of 3481 to the nearest integer?
2
What is the cube root of 933 to the nearest integer?
10
What is the seventh root of 2026 to the nearest integer?
3
What is the fourth root of 20318 to the nearest integer?
12
What is 5907 to the power of 1/2, to the nearest integer?
77
What is the square root of 597 to the nearest integer?
24
What is the cube root of 6180 to the nearest integer?
18
What is 9750 to the power of 1/8, to the nearest integer?
3
What is 15139 to the power of 1/7, to the nearest integer?
4
What is 36708 to the power of 1/4, to the nearest integer?
14
What is 25848 to the power of 1/3, to the nearest integer?
30
What is the eighth root of 12764 to the nearest integer?
3
What is the ninth root of 16149 to the nearest integer?
3
What is the fifth root of 11897 to the nearest integer?
7
What is 6488 to the power of 1/3, to the nearest integer?
19
What is the ninth root of 6099 to the nearest integer?
3
What is the sixth root of 1104 to the nearest integer?
3
What is the eighth root of 11292 to the nearest integer?
3
What is 58849 to the power of 1/2, to the nearest integer?
243
What is 391 to the power of 1/2, to the nearest integer?
20
What is 3656 to
|
{
"pile_set_name": "DM Mathematics"
}
|
*b - 2*b. List the prime factors of t.
2, 11
Let n = 21 - 15. Suppose -n*m - 2 = -5*m. What are the prime factors of 9/(1/(-2)*m)?
3
Let q be 3/9*0 - -1. Suppose -4 = -x + q. Suppose -x*b + 0*b + 40 = 0. What are the prime factors of b?
2
Suppose x + 5*x - 192 = 0. What are the prime factors of x?
2
Let x(v) = -v**3 + 5*v**2 + v - 5. Let n be x(5). Suppose -3*t - t + 4*o = 0, -3*t - 3*o + 30 = n. Suppose t*h = -0*h + 55. What are the prime factors of h?
11
Let p = -110 + 248. Suppose z = 4*z - p. List the prime factors of z.
2, 23
Suppose -j = -3*j + 10. Suppose 18 = 4*m + 5*p - 0, 0 = -2*m - j*p + 14. What are the prime factors of m?
2
Let o(q) = q**2 + 8*q + 9. List the prime factors of o(7).
2, 3, 19
Let n(t) be the first derivative of -t**3/3 + 2*t**2 - 3*t - 1. Let k(s) = -3*s**2 + 13*s - 10. Let y(l) = 6*k(l) - 17*n(l). What are the prime factors of y(7)?
2, 3
Suppose -3*k + 14 = -2*m, 5*k + m = 3*k. Let v = 0 - k. Let p(b) = 2*b**2 + b - 1. List the prime factors of p(v).
5
Let z = 173 - 103. Suppose -g - 4*c = -2, -4*g = -c - z - 23. List the prime factors of g.
2, 11
Let f = -2 - 13. Let o = -11 - f. Suppose 23 = 4*m - p, -o*m - 5*p - 9 = -62. List the prime factors of m.
7
Let b = -4 - -8. Let c be 14/4 + 2/4. Suppose 8*g - b*g + 4 = m, c*g - 44 = -3*m. List the prime factors of m.
2, 3
Let q = -5 - -10. Suppose 131 = q*f + m, -5*f + 4*m + 64 = -87. List the prime factors of f.
3
Let p = 11 - 4. List the prime factors of p.
7
Let g(z) = -z**2 - 7*z + 5. Let t be g(-7). Let q = 4 + 1. Suppose -b = -t*b + 4*w + 48, -q*w = -b + 32. List the prime factors of b.
7
Let l(d) = -d**3 - 8*d**2 + 7. Let h be l(-8). What are the prime factors of h/((-21)/(-6)) - -17?
19
Suppose -15*z - 176 = -17*z. List the prime factors of z.
2, 11
Let x(l) be the second derivative of 2*l**3/3 + 9*l**2/2 + l. Let y(b) = b + 3. Let z(w) = -3*x(w) + 8*y(w). What are the prime factors of z(-2)?
5
Let o(d) = 5*d + 1. Let j = 3 + -2. What are the prime factors of o(j)?
2, 3
Let q(l) = -l**3 + 2*l**2 + 3*l + 3. Let v be q(3). Suppose 0 = 3*n + v*a - 0 - 36, 0 = -3*n + 3*a + 6. What are the prime factors of n?
7
Let v(z) = -z**3 + 11*z**2 - z + 5. Let p be v(11). List the prime factors of (4/p)/(8/(-444)).
37
Let c = 320 + -185. List the prime factors of c.
3, 5
Let d be ((-1)/((-1)/(-47)))/1. Let w = -2 - d. Suppose 0*r + w = 5*r. List the prime factors of r.
3
Let m = 8 + -5. Suppose -5*n = o - 36, 33 = m*o + 4*n - 97. What are the prime factors of o?
2, 23
Let b be 6/(-21) - 30/(-7). Suppose b*s + 8 = 72. List the prime factors of s.
2
Let m(z) = z**3 - z**2 - 4*z - 4. Let b be m(3). What are the prime factors of (b - 0)/(4/116)?
2, 29
What are the prime factors of 1*(34 - 1) + 3?
2, 3
List the prime factors of (-3 + (-88)/(-12))*33.
11, 13
Let u be (-3 + 4)/(-1 - -2). What are the prime factors of u*-3 - (-21)/3?
2
Suppose 4*k - 3 = 1. Let x = k + 2. List the prime factors of 1/(-3) - (-31)/x.
2, 5
Suppose 5*b = -5*o + 151 - 51, -4*o - 3*b = -77. What are the prime factors of o?
17
Let q(y) be the second derivative of -y**4/24 + 7*y**3/6 + y**2/2 + y. Let u(g) be the first derivative of q(g). What are the prime factors of u(0)?
7
Suppose h + 5*b - 4*b = -23, 79 = -3*h - b. Let r = -15 - h. List the prime factors of r.
13
Suppose 2*y + 0*y = 72. What are the prime factors of y?
2, 3
Let c = -97 + 316. What are the prime factors of c?
3, 73
Suppose 0*p = -3*p + 6. Let s be 35 + (p - (2 - 0)). Suppose 6*a = a + s. List the prime factors of a.
7
Let o(j) = 10*j - 2. Let r be 4 - 2 - 2 - -4. Let x be o(r). Let w = -21 + x. List the prime factors of w.
17
Let f(d) = d**3 - 7*d**2 - 5*d + 9. What are the prime factors of f(8)?
3, 11
Let k be 2/6 + 140/21. Suppose -w - 4*q - 20 = 0, 4*w - 2*q + k*q + 25 = 0. Suppose -3*f + w*s = 2*s - 8, 2*s = -5*f + 16. List the prime factors of f.
2
Suppose 3*b + 5 = -1. Let h be 2*2 - (b + 2). Let o = 12 - h. List the prime factors of o.
2
Let f = 137 + -45. List the prime factors of f.
2, 23
Let a(z) be the second derivative of -z**3/6 - 4*z**2 - z. Let q be a(0). List the prime factors of q/((2 - 0)/(-1)).
2
Let r(i) = 8*i**2 + 1. Let w be r(1). Suppose 4*z = -z - 20. Let m = w + z. What are the prime factors of m?
5
Let f(h) = -h**3 + 10*h**2 + 4. Let w be f(10). Suppose 5*v = -o - 2*o + 111, 0 = -5*o - w*v + 198. What are the prime factors of o?
2, 3, 7
Suppose d = 5*k + 224, d - 1212 = -4*d + 2*k. List the prime factors of d.
2, 61
Let a be (12/(-15))/((-2)/5). Suppose -47 = -a*r + 7. What are the prime factors of r?
3
Suppose 3*s + 63 = 294. What are the prime factors of s?
7, 11
Suppose -3*r = -f - 44, r - f = -3*r + 58. What are the prime factors of r/6 + 1/(-3)?
2
Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
t y(m) = -13*m + 44. Let g(z) = -9*x(z) + 2*y(z). Let u be g(16). Differentiate -5 - u + 1 + 1 + 12*b**3 wrt b.
36*b**2
Let i(r) be the first derivative of 5*r**8/168 + 5*r**5/12 + 67*r**2/2 - 29. Let s(o) be the second derivative of i(o). Find the third derivative of s(t) wrt t.
600*t**2
What is the third derivative of -2523*q**2 - 30*q**2 - 78*q**3 + 2568*q**3 + 363*q**2 - 1490*q**2 wrt q?
14940
Let y(p) be the first derivative of 156 + 83/3*p**3 + 0*p**2 + 44*p. Find the first derivative of y(h) wrt h.
166*h
Let u = 73 + -71. Let q = 14 + -4. Find the third derivative of -3*n**u + 10*n**3 - 31*n**3 + q*n**2 wrt n.
-126
Let q = -2525/2 + 1271. Let k(a) be the first derivative of -15 - q*a**2 + 14*a. What is the derivative of k(v) wrt v?
-17
Let a(v) = 4549*v**2 - 59*v - 53. Let p(c) = 2275*c**2 - 29*c - 26. Let y(f) = 6*a(f) - 13*p(f). Find the second derivative of y(m) wrt m.
-4562
Let h(i) be the first derivative of 16*i**6/3 - 57*i**5/5 - i**4/4 - 4*i**3/3 - 227*i**2/2 - 4*i - 6917. What is the third derivative of h(b) wrt b?
1920*b**2 - 1368*b - 6
Suppose -5*l - 3*h + 0*h + 12 = 0, l - h = 4. Find the third derivative of 3*v**3 - 779*v**4 + 131*v**2 - 167*v**6 - l*v**3 + 779*v**4 wrt v.
-20040*v**3
Let w(n) be the second derivative of n**4/12 - 5*n**3/3 + 23*n**2/2 + 13*n. Let o be w(7). What is the second derivative of 11*a + 6*a**2 - o*a + 12*a**2 wrt a?
36
Suppose 4*z + 3*s - 495 = 6*s, 4*z - s - 501 = 0. Suppose z = h + 6*h. What is the first derivative of h - 3*m - 4*m**2 - 67 - m + 2*m**2 wrt m?
-4*m - 4
Let z = -23 + 26. Suppose -5*y + 3*f = -8, -y = -5*f + z*f + 4. What is the third derivative of k**3 + 303*k**4 + 21*k**2 - 283*k**y - k**3 wrt k?
480*k
What is the first derivative of 151 + 532 + 915*o - 402 + 317 + 370 wrt o?
915
Let i(x) = 500*x - 3279. Let n(f) = 1500*f - 9837. Let o(a) = -19*i(a) + 6*n(a). Differentiate o(v) wrt v.
-500
Suppose -3*m - p + 35587 = 0, -4*p = -3*m + 57371 - 21759. What is the third derivative of 29*n**3 + 1 + 31*n**3 + 33*n**2 + m*n - 11864*n wrt n?
360
Let r(o) = -64*o**4 - 18*o**3 + 4997. Let m(t) = -446*t**4 - 126*t**3 + 34980. Let f(s) = -3*m(s) + 20*r(s). What is the first derivative of f(i) wrt i?
232*i**3 + 54*i**2
Let c(q) = 54*q**2 - 18*q - 1393. Let h(k) = -54*k**2 + 15*k + 1392. Let v(a) = 6*c(a) + 7*h(a). Differentiate v(t) with respect to t.
-108*t - 3
Let d(n) be the first derivative of -128*n**3/3 + n**2 + 1039*n + 88. What is the derivative of d(z) wrt z?
-256*z + 2
Suppose 4*x = -3*t + 23, t + 2*x + 2*x - 21 = 0. Suppose t = -4*o + 9. What is the first derivative of 4*k**o - 15*k**2 + 4*k**2 - 16 wrt k?
-14*k
Let m(x) = 665*x + 2086. Let n(j) = 665*j + 2062. Let g(f) = -5*m(f) + 6*n(f). What is the derivative of g(z) wrt z?
665
Let o(q) be the second derivative of 1069*q**7/42 + 13*q**4/12 - 14*q**2 - 1849*q. Find the third derivative of o(w) wrt w.
64140*w**2
Suppose -2*a - 2 = 0, 18 = -2*c + 5*a - 7. Let r(k) = 2*k - 2. Let f(u) = -47*u - 1. Let q(v) = c*r(v) - 3*f(v). Differentiate q(m) wrt m.
111
Suppose 314*p - 321*p + 112 = 0. Find the second derivative of -15*w**4 + 5*w**4 - 12*w**4 + 3*w**3 - p*w**4 - 163*w wrt w.
-456*w**2 + 18*w
Let f(o) be the first derivative of 291*o**6/2 - 2*o**5/5 - 2772*o**2 + 5659. Find the second derivative of f(z) wrt z.
17460*z**3 - 24*z**2
Let m(d) be the first derivative of 1/3*d**6 - 8 - 41/2*d**2 + 0*d**3 + 0*d + 0*d**5 + 0*d**4. What is the second derivative of m(t) wrt t?
40*t**3
Let g(y) be the third derivative of -7*y**5/60 - 11*y**4/8 + 41*y**3/6 + y**2 - 382. Find the first derivative of g(z) wrt z.
-14*z - 33
Let c(n) be the second derivative of 513*n**5/20 - n**4/6 - n**3/3 + 5035*n**2 - 6384*n. What is the first derivative of c(z) wrt z?
1539*z**2 - 4*z - 2
What is the second derivative of 1431*p + 60*p**5 + 3*p**4 - 20*p**5 - 2729*p wrt p?
800*p**3 + 36*p**2
Let p = 14 + -12. Find the second derivative of -18*m**4 - 14*m**4 + p - 8*m - 25*m - 1 wrt m.
-384*m**2
Let a(h) = -3404*h**2 - 410*h - 110. Let w(b) = 681*b**2 + 82*b + 21. Let i(s) = 3*a(s) + 16*w(s). What is the second derivative of i(m) wrt m?
1368
Let a(t) be the third derivative of 0*t + 8*t**2 + 0*t**3 + 0*t**5 - 1/24*t**4 - 11/60*t**6 + 0. Find the second derivative of a(r) wrt r.
-132*r
Suppose 0 = -53*b + 56*b - 75. What is the first derivative of 85 + 0 + b - 53*k - 73*k + 43 wrt k?
-126
Suppose -4*n - 2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
rt -4, 3, h, g in descending order.
3, g, h, -4
Let g be -30*(6 - 3)/(-9). Sort g, 4, 2 in decreasing order.
g, 4, 2
Let g = 3.5 + -4. Let b = 1.5 + g. Let n = -2.6 - -2.1. Sort n, 0.2, b.
n, 0.2, b
Let h = 2.2 + -12.2. Let f = -7 - h. Sort -0.1, 1, f.
-0.1, 1, f
Suppose 8 = 3*m + y + 1, -y = -5*m + 1. Let k(r) = -r**2 + r + 3*r**2 - r**3 - 3*r**2 + 15 - 11*r**2. Let f be k(-12). Put f, 5, m in increasing order.
m, f, 5
Let t(z) = -7*z**2 + 14*z + 3. Let q be t(2). Sort 5, -20, q in ascending order.
-20, q, 5
Suppose -16*y = 2*y - 54. Put -12, -2, y, -4 in increasing order.
-12, -4, -2, y
Let j = -2 + 2. Let g = 0.2299 - 0.1299. Sort j, 1, g, 1/14 in descending order.
1, g, 1/14, j
Let n(r) = -32*r**2 + 257*r - 6. Let h be n(8). Suppose 6*k - 15 = k. Put k, h, -3, 1 in ascending order.
-3, 1, h, k
Let m = 1.37 + -0.97. Sort -2/17, m, -1/3.
-1/3, -2/17, m
Let n = -400 - -608. Sort 2, n, 0 in ascending order.
0, 2, n
Let j = 36.9 - 16.1. Let p = j - 21. Let c = -1.9 + 2.4. Sort p, c, 5 in descending order.
5, c, p
Let j = -41 + 18. Let x = 37 + j. Let l = 12 - x. Sort -4, l, -1 in ascending order.
-4, l, -1
Let o be 1*(-10)/15*6/16. Sort 4, 2, 0.06, o.
o, 0.06, 2, 4
Let j(v) = 7*v**2 - 3*v + 2. Let c be j(1). Sort 8, c, -4 in descending order.
8, c, -4
Let c = -34 + 30. Let v(t) = -3*t - 12. Let d be v(c). Put d, -5, 3 in increasing order.
-5, d, 3
Suppose -8*i - 150 + 118 = 0. Let g be (-3 - -6)*(-2 - -3). Sort 0, i, -12, g in descending order.
g, 0, i, -12
Let m = -239 - -243. Sort m, -1/11, -1 in descending order.
m, -1/11, -1
Let b = 4 + -13/3. Let g = 5.68 - -0.32. Let a = 8 - g. Sort b, -0.1, a in decreasing order.
a, -0.1, b
Let l = 25/2 + -13. Let p = -20.9 + 21. Let t = p + -0.2. Put t, l, -2/7 in ascending order.
l, -2/7, t
Let t(x) = -x**3 + 0 + 5*x + 0 + 2 + x**2. Let b be 18/63 - 32/14. Let m be t(b). Put m, -5, 5 in ascending order.
-5, m, 5
Let m be ((-624)/60)/((-4)/10*-1). Let r = -34 + 11. Let z = r - m. Sort -1, 1, z.
-1, 1, z
Suppose -10*b + 5*b = 5. Let d = b - -3. Suppose d + 3 = -5*o. Put -3, -5, o in descending order.
o, -3, -5
Let x = -40 - -42.6. Let g = -4.6 + x. Let o = 165 + -2147/13. Sort 4, o, g in decreasing order.
4, o, g
Let c be (-3)/(-6 - (-216)/40) - 3. Put -5, c, -56 in descending order.
c, -5, -56
Let t be (-518)/(-63) + (-4)/18. Let s(c) = -4*c + 2. Let g be s(t). Let b be g/12*(-2)/(-5). Put b, -3, -2 in ascending order.
-3, -2, b
Let t = 87.02 + -84. Let r = t + -0.02. Let f = -294 + 293.8. Sort f, 0, r in decreasing order.
r, 0, f
Let j = 7.36 + -5.36. Sort 2.6, 12, j in increasing order.
j, 2.6, 12
Suppose -430 = q - 441. Sort 0, -8, q.
-8, 0, q
Let r = -1170 + 1175. Put 2, r, 186 in descending order.
186, r, 2
Suppose -86*p + 8 = -82*p. Suppose p - 11 = -9*f. Sort f, 3, -21, -1.
-21, -1, f, 3
Let b = -318 - -322. Sort 7, 0.3, b in increasing order.
0.3, b, 7
Let o be (5/35)/((-2)/2). Let b(v) = -v**3 - 13*v**2 - 15*v + 6. Let t be b(-12). Let a be (-3)/6 + t/12. Sort a, 0.4, o in ascending order.
o, 0.4, a
Let s = -261 + 301. Put 2, s, -3 in ascending order.
-3, 2, s
Let b = 0.43 - 0.43. Suppose -1 = 4*w + 3. Let p be 0 + w*2/(-16). Sort p, b, -1/3 in increasing order.
-1/3, b, p
Let x be (-4)/5*130/(-52). Sort x, 3, -42 in decreasing order.
3, x, -42
Let n = 5 - -5. Suppose 205*u - 209*u + 16 = 0. Sort u, n, -4 in increasing order.
-4, u, n
Suppose 2*n + 5*q = 20, -n - q + 1 = -3*q. Suppose -3*x - 15 = 0, 5*d + 5*x + 63 = 13. Sort n, -3, 3, d in ascending order.
d, -3, 3, n
Let q(n) = -2*n - 5*n + 3*n - 2*n**2 + 0*n**2. Let a be q(-2). Suppose -10*p + 6*p + 4 = a. Sort p, -4, 3.
-4, p, 3
Let n(l) be the first derivative of -l**3/3 - 7*l**2/2 + 11*l + 7. Let j be n(-8). Suppose -5*q = x + 4*x + 30, 9 = -x - 2*q. Sort 5, x, j in descending order.
5, j, x
Suppose 0 = -b + 4*b. Suppose b = x - 2*x - 7. Let z = x - -2. Sort -2, -3, z.
z, -3, -2
Suppose 1 = -g - 4. Let c = -86 - -87. Put g, 1/7, c in ascending order.
g, 1/7, c
Let w = 0.219 - 0.019. Suppose 3*n = -2*n - 10. Put w, -3/7, n in ascending order.
n, -3/7, w
Let y be 3 - (-2 + (-73)/(-15)). Let o be (-63)/(-28)*(-4)/6. Sort y, o, 5.
o, y, 5
Let r(v) = -2*v**2 + 13. Let y be r(-3). Let g = -15 - -11. Put -3, g, 0, y
|
{
"pile_set_name": "DM Mathematics"
}
|
*4 + 1/10*f**5 + 0 - 3*f. Suppose h(t) = 0. What is t?
0, 1
Let z(f) = f**3 + 3*f**2 - 6*f - 6. Let s be z(-4). Suppose 9 = s*k + 1. Suppose p**5 + 0*p**5 + 4*p**4 - 5*p**k = 0. What is p?
0, 1
Suppose h + h = -48. Let i be ((-99)/h)/((-9)/(-12)). Let 8*t**4 + t**2 - 7/2*t**5 + 0 + 0*t - i*t**3 = 0. Calculate t.
0, 2/7, 1
Let l be (-9)/60 + 2/5. Suppose -17*m - 6 = -19*m. Let 1/4*c**2 + 1/4*c - 1/4*c**m + 0 - l*c**4 = 0. What is c?
-1, 0, 1
Let q(z) be the second derivative of -1/150*z**5 - 1/2*z**2 + 1/60*z**4 + 2/15*z**3 + 2*z + 0. Let m(y) be the first derivative of q(y). Solve m(b) = 0.
-1, 2
Let b(g) = g**3 + g**2 - g. Let k(c) = -4*c**2 + 8*c. Let j(q) = -4*b(q) + k(q). Suppose j(x) = 0. What is x?
-3, 0, 1
Let h(d) be the first derivative of 12*d**5/5 - 2*d**4 - 16*d**3/3 + 4*d**2 + 4*d - 13. Factor h(f).
4*(f - 1)**2*(f + 1)*(3*f + 1)
Let s(r) = -r**4 + r**2 + r. Let d(b) = -2*b**4 + 2*b**2 + 4*b. Let k(j) = -d(j) + 4*s(j). Find v such that k(v) = 0.
-1, 0, 1
Let b = -20 - -11. Let a(i) = -i**2 - 2*i + 3. Let n(o) = -5*o**2 - 8*o + 13. Let c = 3 - 1. Let k(r) = b*a(r) + c*n(r). Find g such that k(g) = 0.
1
Let m be (-5)/(15/(-6)) - 0. Find s, given that -2*s + 2*s**2 + m*s**2 + s**2 - 6*s**2 - 1 = 0.
-1
Let t(f) be the second derivative of -f**4/60 - f**3/15 + 4*f. Let t(z) = 0. Calculate z.
-2, 0
Factor -24/7*k + 72/7 + 2/7*k**2.
2*(k - 6)**2/7
Let b(m) be the third derivative of m**5/60 + 7*m**4/12 + 49*m**3/6 - 25*m**2. Factor b(v).
(v + 7)**2
Let d = 1307/2 - 640. Factor 27/2 + 9/2*u**2 + d*u + 1/2*u**3.
(u + 3)**3/2
Let t(x) = x**2 - 9*x + 10. Let b be t(8). Factor -3*r**2 + 7*r**2 + 3*r - b*r - 2*r.
r*(4*r - 1)
Let q be 2/(-9) - ((-376)/(-198))/(-2). Find b, given that -q*b**5 - 2/11*b**2 + 0 + 0*b - 18/11*b**4 - 12/11*b**3 = 0.
-1, -1/4, 0
Let -2/3*f + 2/3*f**3 - 10/3*f**2 + 10/3 = 0. What is f?
-1, 1, 5
Let n(p) be the first derivative of -p**5/40 + p**4/32 + p**3/24 - p**2/16 + 6. Determine v so that n(v) = 0.
-1, 0, 1
Solve 32/3 + 2/3*b**2 - 16/3*b = 0 for b.
4
Suppose 3*q = -4*k + k - 9, -2*q = 3*k + 11. Suppose q*d + 232 - 232 + 2*d**2 = 0. Calculate d.
-1, 0
Let w(q) be the first derivative of -q**4 + 32*q**3/3 - 42*q**2 + 72*q + 17. Determine d, given that w(d) = 0.
2, 3
Let l = -97 - -99. Factor 0 - 2/5*f**l + 0*f + 1/5*f**3 - 3/5*f**5 + 4/5*f**4.
-f**2*(f - 1)**2*(3*f + 2)/5
Let j be 6/6 - (0 - 3). Solve 0*h**3 - 6*h**3 + 3*h**3 - 2*h**2 - j*h**2 - 3*h = 0.
-1, 0
Suppose -3*q + q - 12 = 0. Let t = q + 6. Factor 0*i**2 + 1/4*i**3 - 1/4*i**4 + t + 0*i.
-i**3*(i - 1)/4
Let r be 1/2 - 4/((-32)/12). Determine f, given that -2/3 - 4/3*f - 2/3*f**r = 0.
-1
Let s(u) be the third derivative of 4*u**5/45 - 23*u**4/18 - 4*u**3/3 - 42*u**2. Determine g so that s(g) = 0.
-1/4, 6
Let a(d) = -d**3 - 4*d**2 + 10 + 7*d - 2*d**2 + d. Let g be a(-7). Solve 7 - 8*w**5 + 6*w**g - 7 - 2*w**2 = 0.
-1, 0, 1/2
Let h(k) be the first derivative of -k**5/42 + k**4/42 - 3*k**2/2 - 2. Let l(u) be the second derivative of h(u). Let l(v) = 0. What is v?
0, 2/5
Let w(j) be the first derivative of -2*j**5/5 - 3*j**4/4 + j**2/2 + 10. Solve w(s) = 0 for s.
-1, 0, 1/2
Let y(s) = -9*s**2 - 21*s - 12. Let f(c) = -c**2 - c. Let a(o) = -6*f(o) + y(o). Factor a(u).
-3*(u + 1)*(u + 4)
Let s = 95 - 471/5. Determine x, given that 2/5*x + 2/5*x**3 + s*x**2 + 0 = 0.
-1, 0
Let g = 67/5 + -263/20. Suppose -g*a**3 + 1/4*a + 0 + 0*a**2 = 0. Calculate a.
-1, 0, 1
Let y(d) be the first derivative of -d**7/10 + d**6/25 - 7*d - 7. Let u(q) be the first derivative of y(q). Determine x so that u(x) = 0.
0, 2/7
Let v = 335 + -1001/3. Let -v*z**3 - 4/3*z**2 + 4/3*z + 4/3 = 0. What is z?
-1, 1
Factor -1/10*n**3 - 3/10 + 3/10*n**2 + 1/10*n.
-(n - 3)*(n - 1)*(n + 1)/10
Let n(w) be the third derivative of w**8/448 + w**7/420 - w**6/48 - w**5/20 + w**4/4 + 2*w**2. Let m(x) be the second derivative of n
|
{
"pile_set_name": "DM Mathematics"
}
|
53/2343.
21087
Calculate the smallest common multiple of 3150 and 356850.
2497950
Calculate the lowest common multiple of 20300 and 679.
1969100
Calculate the lowest common multiple of 4011 and 1719.
12033
Calculate the common denominator of -59/2050 and 121/1260.
258300
What is the common denominator of 61/52 and -6/106535?
426140
Calculate the common denominator of 15/16 and -89/137008.
137008
What is the smallest common multiple of 1182 and 378634?
1135902
What is the least common multiple of 2219 and 2583?
818811
What is the smallest common multiple of 4609 and 576544?
6341984
Calculate the least common multiple of 467306 and 12661.
5140366
Calculate the least common multiple of 884 and 6409.
25636
What is the common denominator of -28/12335 and -89/30?
74010
Calculate the least common multiple of 618705 and 36.
2474820
What is the least common multiple of 432 and 8586?
68688
Find the common denominator of -79/264525 and 13/525.
1851675
Calculate the least common multiple of 5070 and 19435.
116610
What is the least common multiple of 27 and 816774?
7350966
Calculate the common denominator of 61/19140 and 43/1566.
172260
Calculate the lowest common multiple of 220 and 19382.
193820
Calculate the least common multiple of 360 and 240.
720
What is the least common multiple of 860156 and 11?
860156
Calculate the common denominator of -77/1132 and -131/3660.
1035780
Calculate the lowest common multiple of 46593 and 1503.
46593
Find the common denominator of 47/86691 and 56/15.
433455
Calculate the least common multiple of 5332 and 5117.
634508
Find the common denominator of 31/3626 and -33/962.
47138
Calculate the common denominator of -55/2879232 and -31/8832.
2879232
Calculate the common denominator of -7/443 and -69/2.
886
Calculate the smallest common multiple of 4408 and 171.
39672
What is the lowest common multiple of 57 and 321?
6099
What is the common denominator of -74/11259 and 41/2085?
56295
Calculate the smallest common multiple of 78 and 2509.
15054
What is the common denominator of 1/75537 and -4/189?
226611
Calculate the common denominator of 37/18 and 75/943412.
8490708
Calculate the common denominator of -131/3372 and 4/9.
10116
What is the common denominator of -88/135471 and 97/30?
1354710
Find the common denominator of 97/11188 and 77/554.
3099076
What is the smallest common multiple of 71892 and 17973?
71892
What is the smallest common multiple of 196 and 9604?
9604
What is the least common multiple of 3219 and 45171?
48468483
Calculate the least common multiple of 307320 and 6.
307320
What is the common denominator of 63/472 and -53/236?
472
What is the common denominator of -47/1308723 and 87/37934?
2617446
What is the lowest common multiple of 392 and 49686?
198744
What is the least common multiple of 172200 and 328?
172200
What is the lowest common multiple of 7200 and 8?
7200
Calculate the common denominator of 59/18535 and -7/1685.
18535
Calculate the lowest common multiple of 85 and 1270.
21590
What is the least common multiple of 810 and 52650?
52650
Calculate the least common multiple of 12 and 84560.
253680
Find the common denominator of 19/84 and -75/64.
1344
Calculate the smallest common multiple of 420 and 1226.
257460
What is the smallest common multiple of 40 and 2285?
18280
What is the smallest common multiple of 27 and 37554?
337986
What is the common denominator of 7/324 and -35/208?
16848
What is the least common multiple of 36400 and 8580?
1201200
What is the smallest common multiple of 56 and 1648997?
13191976
What is the least common multiple of 54010 and 32406?
162030
Find the common denominator of 25/207256 and 23/64.
1658048
Calculate the least common multiple of 1500 and 1600.
24000
Calculate the common denominator of -95/17132 and 77/86.
736676
Calculate the least common multiple of 16280 and 7040.
260480
What is the common denominator of -41/23000 and 87/4?
23000
Find the common denominator of -17/798 and 59/353096.
7415016
What is the common denominator of -87/33740 and 5/74228?
371140
Calculate the least common multiple of 210696 and 40.
1053480
Calculate the common denominator of -101/27092 and -53/162552.
162552
Find the common denominator of -5/539168 and -109/3248.
539168
What is the least common multiple of 30552 and 402?
30552
What is the lowest common multiple of 1357224 and 3104?
5428896
Calculate the smallest common multiple of 144 and 582030.
4656240
Calculate the common denominator of 79/48092 and 89/168322.
336644
Calculate the least common multiple of 805 and 5635.
5635
Calculate the common denominator of 37/134732 and -87/5182.
134732
What is the smallest common multiple of 426 and 57?
8094
Find the common denominator of 109/600 and 89/1140.
11400
What is the lowest common multiple of 14920 and 3730?
14920
Find the common denominator of -16/9135 and -61/1080.
219240
What is the common denominator of 18/427 and -89/24156?
169092
Find the common denominator of 41/108 and 49/58311.
699732
What is the smallest common multiple of 24165 and 21?
169155
What is the common denominator of 71/180 and -61/114714?
1147140
Find the common denominator of -32/369 and -39/68921.
620289
Calculate the common denominator of 8/44931 and -17/1320.
19769640
Calculate the smallest common multiple of 13299 and 4433.
13299
Calculate the smallest common multiple of 346248 and 61830.
1731240
Calculate the lowest common multiple of 10553 and 45872.
7935856
What is the least common multiple of 1113220 and 70?
7792540
What is the least common multiple of 80776 and 4?
80776
What is the least common multiple of 11715 and 11715?
11715
Calculate the common denominator of 137/18480 and -229/23100.
92400
Find the common denominator of -31/4880 and -11/1485960.
2971920
Calculate the common denominator of 65/322 and 93/120190.
2764370
Calculate the lowest common multiple of 1446 and 723.
1446
Find the common denominator of 16/2073 and 34/9.
6219
Calculate the lowest common multiple of 6110 and 30.
18330
Calculate the smallest common multiple of 3430 and 55.
37730
Find the common denominator of -23/7042 and 33/28168.
28168
What is the common denominator of -83/41608 and 11/29720?
208040
What is the common denominator of 67/24 and 19/67090?
805080
What is the common denominator of 53/1623428 and -137/18?
14610852
What is the lowest common multiple of 875 and 375?
2625
Calculate the common denominator of 85/3174 and -31/40434.
929982
Calculate the common denominator of 97/288792 and -137/18.
288792
Calculate the common denominator of 37/516 and -163/84.
3612
Calculate the common denominator of 97/6670 and -107/6.
20010
What is the least common multiple of 32030 and 166556?
832780
Calculate the least common multiple of 37622 and 1447.
37622
Find the common denominator of 7/112346 and -155/612.
34377876
Calculate the smallest common multiple of 61760 and 280.
432320
Calculate the common denominator of -31/6600 and -76/99.
19800
Find the common denominator of 117/2386840
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let u be (-84)/56*172/(-3). Let j = u + -83. What is the hundreds digit of g(j)?
2
Let q(f) = -4*f**3 - 2*f**2 + f + 1. Let k be q(1). Let h = k - -17. Suppose 2*o = -2*z + 125 + h, 20 = 5*o. What is the units digit of z?
5
Let y be (-224)/(-126) - 2/(-9). Suppose 0 = 4*z + z + 2*h - 360, y*h - 10 = 0. Suppose -3*q + 3*w = -117, 4*q - 5*w - 81 = z. What is the tens digit of q?
4
Let b = -128 + 125. Let h(f) = -225*f - 26. Let g be h(b). Suppose 9*y = g + 647. What is the hundreds digit of y?
1
Suppose 0 = 11*d - 6421 + 591. Suppose 0 = l - 6*l - 1830. Let t = d + l. What is the units digit of t?
4
Let n = 5 - 2. Suppose -41 - 22 = -n*j. What is the units digit of (-16)/56 + 1980/j?
4
Let h be (-4)/18 + 74/9. Suppose h*o - 2578 = 814. What is the tens digit of o?
2
Suppose 4*w + 72 = 272. Suppose 0 = -5*d + 4*d + 8. What is the tens digit of w/(-3)*(-36)/d?
7
Suppose -3*g + 3*z = 8*z - 34037, -3*g + 34055 = -4*z. What is the thousands digit of g?
1
Suppose 3*i + 140 = -3*l - 2*l, -3*i = -5*l - 110. What is the units digit of 5*(-3 - 440/l)?
3
Let q = 6773 - 5231. What is the units digit of q?
2
Suppose 5*m - 30*m + 171870 = 5*m. What is the tens digit of m?
2
Let o = 2364 - 1424. Suppose -d - 165 = 3*i - 866, -4*i = 4*d - o. What is the hundreds digit of i?
2
Suppose 0 = -3*f + u + 37156, -61*f + 58*f + 37170 = -3*u. What is the hundreds digit of f?
3
Suppose -d = -7 - 10. Suppose -390 = 16*u - d*u. What is the hundreds digit of u?
3
Suppose 3*r - 37 = -4*y, -2*y = 4*r - 0*y - 46. Suppose 4 = -o, 0 + r = s - 3*o. What is the tens digit of s/2 + (-5 - 73/(-2))?
3
Let d(t) = -4*t**2 + 6. Let l be d(-3). Let b = l + 32. Suppose 0 = 11*v - b*v - 297. What is the units digit of v?
3
Suppose -w = -2*w + 2. Suppose -5*u = -4*h - 21, w*h = -h + 3. Suppose u*z - 2*d = 384 - 99, 5*z + 3*d = 285. What is the units digit of z?
7
Let h be ((-1970)/(-45))/((-4)/(-36)). Let p = h - -100. What is the hundreds digit of p?
4
Suppose -123*j + 3042494 = 106*j. What is the thousands digit of j?
3
Let i(d) = -3*d**2 - 59*d - 6. Let g be i(-6). Suppose -h - 3*h + 5*j + 159 = 0, -5*h - 2*j = -g. What is the units digit of h?
6
Let h(t) = 36*t - 449. What is the hundreds digit of h(32)?
7
Suppose 0 = 5*k - 3*y - 138, 2*k = y - 6*y + 80. Suppose 0 = -4*z + 2*p + 408 - 52, 3*z = -p + 262. Suppose -z = -o - k. What is the units digit of o?
8
Suppose -3*l - 26 - 28 = 0. Let n be 24/l*(-18)/(-4). What is the tens digit of (-4 - -6)*3/n*-29?
2
Suppose 3*u = -y + 1726, 0 = -5*u - 25 + 20. What is the thousands digit of y?
1
Let g be (2/4)/((-12)/(-3384)). Let q = g + -72. What is the tens digit of q?
6
Let s(y) = 76*y + 148. Let q be s(18). Let o = -891 + q. What is the tens digit of o?
2
Let r(v) = v**3 - 17*v**2 - 16*v + 23. Let i be 6/45 + (-2984)/(-120). Let k = i - 7. What is the units digit of r(k)?
9
Let i be (3/(-4))/(27/(-144)). Suppose c - 180 = -r, 0 = 4*c + i*r - 7*r - 734. What is the tens digit of c?
8
Let f(j) = -10662302 + 4*j**2 + 10662313 - 15*j + 0*j**2. Suppose -3*z + h + 18 = 3*h, 3*z = 2*h + 18. What is the tens digit of f(z)?
6
What is the units digit of (-2)/8 + 25/40*2*15349?
6
Let f = -23 - -26. Suppose -13 - 24 = 5*a + r, 0 = f*a + 4*r + 29. What is the units digit of (-240)/a + 16/(-56)?
4
Let c(l) = -2*l**3 + 13*l**2 + 6*l - 33. Suppose 4*r + 8 = 3*r. What is the tens digit of c(r)?
7
Let c(q) = 11*q**3 - 36*q**2 + 298*q + 24. What is the hundreds digit of c(10)?
4
Let u = -4215 + 37301. What is the hundreds digit of u?
0
Let n(t) = 5*t - 13 - 10 - 4*t**2 + 4*t**2 + 10 + t**2. Suppose 5*m - 4*k = 50, 5*m + 4*k + k - 50 = 0. What is the tens digit of n(m)?
3
Let o(z) = 3*z**3 + 2*z**2 - z. Let n be o(1). Suppose -4*t + 2*a + 3*a + 61 = 0, 2*a - 54 = -n*t. What is the tens digit of (t/(-21))/(2/(-219))?
7
Let k be 4/22 - 5/(55/1542). Let o = k - -340. What is the hundreds digit of o?
2
Suppose 0 = -175*d + 177*d - 30. What is the units digit of (1644/(-20))/((-1)/(d/1))?
3
Let l = 10220 + -5446. What is the hundreds digit of l?
7
Let j = -237 - -240. Let s be (-6)/(-4)*(-72)/54. What is the tens digit of (j/(-1) + 4)*(163 + s)?
6
Suppose 18201 = 3*x + 5*o - 19677, 50494 = 4*x + 5*o. What is the hundreds digit of x?
6
Let w(r) = -3*r**3 + r**2. Let v be w(-1). Suppose -175 = 4*k - 2*d + 193, -4*d + 372 = -v*k. What is the units digit of (-3080)/k + (-4)/(-26)?
4
Suppose 7*p = t + 11*p - 38565, 0 = 2*t - 5*p - 77208. What is the ten thousands digit of t?
3
Suppose 104 = 4*g - 2*t, -4*g - 5*t + 76 = -2*g. What is the units digit of (-42)/g*194*-1?
1
Let y(p) = p**2 + p - 11. Let t be y(-5). Let u be ((-81)/(-18))/(t/(-12)). What is the units digit of -6 - -18 - u/(-2)?
9
Let t(
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2, 0 = 2*b - 2. Solve c = -2*l - z + 10, -5*z + 23 = 5*l - 4*l for l.
3
Let o be 0 + 7 + 60/(-15). Let j be 1/((-3)/9) - (o - 2). Let i be j/(40/(-115))*2. Solve q + 5*r = 11, -2*q - i = 3*q - r for q.
-4
Let s = -315 - -167. Let k = s - -164. Solve 0 = -5*o + 3*h - k, 12 = -3*o + 5*h - 4 for o.
-2
Let q be ((-12)/(-7))/((200/(-84))/(-25)). Solve -q = 2*v - 5*s, -6 + 16 = -4*v - 3*s for v.
-4
Suppose -32*v + 27*v - 5 = 5*g, 2*g = -3*v - 6. Solve -g*l + 15 = 0, h - 4 = 25*l - 26*l for h.
-1
Suppose -1404 = -25*t + 96. Suppose 5*w + 5*x - 265 = 0, -265 = -5*w - 0*x + x. Let v = t - w. Solve 12 = -4*m, -3*i = -5*i - m + v for i.
5
Let j = -151 - -267. Let x = -116 + j. Solve x = -4*z - z + 5*y, -5*z - 2*y = -35 for z.
5
Let u(i) = -2*i**3 + 166*i**2 + 162*i + 509. Let g be u(84). Solve -3*b + g*w = -21, 5*b - 225 = -3*w - 224 for b.
2
Let m = 253 - 250. Solve -5*o - 5 - 5 = 5*k, 4*o = -m*k - 6 for o.
0
Let t be 38/(-6)*(-2 + 5). Let u = -11 - t. Suppose 0*d - 3*d = -a - 7, -u = -4*a. Solve -4*s = -z - d - 3, 4*s - 16 = -4*z for s.
2
Let t = 6161 - 6149. Let d(i) = -2*i + 2. Let k be d(2). Let u = 6 + k. Solve 0 = -4*s - 2*y + 10, 32 = -u*y + t for s.
5
Let k be (-80)/(-30)*(-30)/(-16). Solve -5*l = -21*h + 17*h - 1, -6 = -l - k*h for l.
1
Suppose -2*l - 64 = 2*z, -z - 3*l = -8*l + 2. Let v(u) = -u + 3. Let d be v(5). Let b be 0/(z/12 - d/8). Solve -4*t - 2*m - 10 = -0*m, b = -t + 5*m - 19 for t.
-4
Suppose -5*h + 3455 - 3285 = 5*h. Solve 22*r - h*r + 15 = u, 4*r = -u - 12 for r.
-3
Let w(u) = 5*u**2 + 18*u - 29. Let h(t) = -3*t**2 - 9*t + 14. Let b(k) = -7*h(k) - 4*w(k). Let f be b(2). Solve -d - 5 = 4*d - 5*a, -2*a = -f*d - 4 for d.
-1
Suppose -13*h + 15*h - 4 = 0. Suppose 56 = 10*s - h*s. Suppose 0 = -q + 5*q - s*q. Solve 3*r + 2 = -q*z + 2*z, 4*r = 2*z - 6 for z.
-5
Let n = 124 - 18. Let k = n - 101. Solve 2*b = 0, 6*b - b = -k*c - 25 for c.
-5
Let m = 13153 - 13153. Solve -4*w - 29*k + 27*k - 32 = m, -3*w - 22 = k for w.
-6
Suppose -b + 34 - 7 = -4*s, -3*b - 4*s + 17 = 0. Let j(t) = 16 - 99 + 42 + b*t. Let f be j(6). Solve 3*d + 5*x = -f, -d = d + 4*x + 18 for d.
-5
Let s(f) = 35*f - 25. Let l be s(2). Let t = 55 - l. Solve -6*a - 13 = i - 2*a, -t = -2*i + a for i.
3
Let k = -1764 - -1792. Solve 5*n + k = -4*c, 4*n - n + 20 = -4*c for n.
-4
Suppose 11859*s = 11845*s + 154. Solve -n + 28 = -3*k + s, -4*k = -5*n + 30 for n.
2
Let c be 3 - (1/1 - 3). Suppose -4*y + c*s = -11, -2*y + y - 5*s + 9 = 0. Suppose -572*d = -588*d + 144. Solve -d - 1 = l - y*t, 3*l - t = -8 for l.
-2
Suppose 0 = -12*l - 8 + 20. Let k be l/5 + (-252)/(-15). Solve 4*r + 4*n + 11 = -17, 3*n + k = -r for r.
-2
Suppose 4*y + 4 = -2*x, 2*x - 7 = -11. Solve 2*r - w + 3 = y, -2*r = 3*r - 5*w for r.
-3
Suppose c + 8 = -4*x, -3*x + x = -2*c - 6. Let t be -2*c/8*0. Solve -n + 4*d = d - 7, 5*d + 10 = t for n.
1
Let v(x) = -x**2 - 25*x + 3. Suppose 52 = 2*y - 3*f - 19, 67 = 2*y + f. Suppose z = -y + 9. Let q be v(z). Solve -q*a - 2*a = -5, -11 = 4*p + a for p.
-3
Suppose 0 = -116*y + 378 + 762 + 948. Solve j - 2 = -5*h + 25, 2*h = -4*j + y for h.
5
Let c be ((-4)/3 - -1)/(9/(-81)). Suppose -w = 3*j - 23, -7*w + 17 = -c*w - 3*j. Let x = -6 + w. Solve -4*m + i = -18, -m + 13 = 2*i + x*i for m.
5
Let n(p) = -p**3 - p**2 + 2*p - 40. Let l be n(-4). Solve 2*q + o = -4 - l, 0 = o + 4 for q.
0
Suppose 5*o + 16 = f - 43, 5*o = -4*f + 186. Solve 5*d = 5*j + 10, 32 - f = j - 4*d for j.
3
Suppose 42 = 5*j + 4*n, -3*j - 4*n + 27 = -n. Let a(g) = g**2 + 0*g**2 - 6 + 5 - g - g. Let f be a(-1). Solve 0 = f*i + j + 2, -5*x + i + 24 = 0 for x.
4
Suppose 3*i = i. Suppose 3*v - 4*v = i. Let k(g) = 2*g**2 + 9*g - 1. Let u be k(-5). Solve 4*t - j + 22 = 0, v = u*t + t - 3*j + 31 for t.
-5
Suppose -8*b + 1056 - 1056 = 0. Let v be (5 + b)/(5 + -4). Solve -j + 5*z = -v*j, 3*j + 5 = -5*z for j.
5
Suppose 0*y = 2*t - 5*y + 159, -3*t - 301 = 5*y. Let w
|
{
"pile_set_name": "DM Mathematics"
}
|
207?
-0.089
Is 108567 not equal to 108567?
False
Which is smaller: 2520/17 or 148?
148
Which is greater: 21526/3 or 7175?
21526/3
Which is smaller: 30 or 3153/103?
30
Which is smaller: -39 or -79?
-79
Which is smaller: -1362 or -25887/19?
-25887/19
Is -52/1733 greater than or equal to 1?
False
Is -7125 smaller than -7122?
True
Which is bigger: 9 or 5.556?
9
Are -8957 and -89577/10 unequal?
True
Is 95335 smaller than 95325?
False
Which is greater: 229 or -160?
229
Which is smaller: 3339 or -92?
-92
Which is greater: 5129 or 5133?
5133
Is 158377/34 != 4658?
True
Is 2022/19 smaller than 42?
False
Is -81440 smaller than -81439?
True
Which is greater: 62860 or 16?
62860
Which is smaller: 56/139109 or 1?
56/139109
Is -11754 at most as big as -11754?
True
Is 21793/9 equal to 2422?
False
Which is bigger: 0 or -51/9734?
0
Which is greater: -1 or 1/318302?
1/318302
Is 1070/153 not equal to 0?
True
Which is greater: 0 or 1/5300?
1/5300
Which is bigger: -39341 or -39346?
-39341
Is 31240 smaller than 31239?
False
Which is greater: 0 or -2/98555?
0
Which is smaller: -167797 or -167796?
-167797
Is 1 less than -34/413?
False
Which is smaller: -10 or 17?
-10
Is -818866 smaller than -818866?
False
Which is smaller: -23/3802 or 0?
-23/3802
Which is greater: 21 or 5667/265?
5667/265
Is 923 less than or equal to 923?
True
Which is smaller: -2 or 1775.02?
-2
Is 7 greater than 2459?
False
Which is smaller: 0 or 1/633753?
0
Which is bigger: -10611 or -10606?
-10606
Which is greater: 0 or -3/39764?
0
Which is smaller: -6655 or -6651?
-6655
Is -27252 != -27246?
True
Are 318156 and 318157 unequal?
True
Is -11/9365 bigger than 1?
False
Do -1 and 1.86703 have the same value?
False
Which is smaller: 11340 or -26?
-26
Which is smaller: 1 or -1011.3?
-1011.3
Is 0.9 smaller than -59073?
False
Are -87414/7 and -12489 non-equal?
True
Which is smaller: -384288 or -384289?
-384289
Is 4 less than 37/522?
False
Which is smaller: -2/11 or -95.63?
-95.63
Is -15475 < -15476?
False
Is -15/35507 > 0?
False
Is -1.932 less than or equal to -16?
False
Which is bigger: 171 or 50315/294?
50315/294
Are 121457 and 121457 non-equal?
False
Is 7 at least 246/43?
True
Is 7717 at least 7717?
True
Is -19 > -1/5846?
False
Are 4 and -253255 nonequal?
True
Is -1 smaller than 9/164?
True
Is 243475 greater than or equal to 243475?
True
Which is greater: -2035 or 34?
34
Which is smaller: -143.1 or 0.1?
-143.1
Is 1/2 <= -2.37503?
False
Which is smaller: -3/97 or 9073?
-3/97
Is 27 at least as big as 830?
False
Which is greater: 265 or 6897/26?
6897/26
Which is smaller: 671 or 20776/31?
20776/31
Which is bigger: -1868 or 173?
173
Is 223.48 > -1?
True
Is -2/1021 less than or equal to 8.99?
True
Is 930489 smaller than 930490?
True
Are -26054 and -26053 equal?
False
Is 7/20028 < -1?
False
Do 1494468 and 1494469 have different values?
True
Is 193/4750 less than or equal to -1?
False
Which is bigger: 0 or -133/89?
0
Which is greater: -1325/543 or -1?
-1
Which is greater: -35 or 53474?
53474
Are 65142 and 65140 equal?
False
Is 26501 not equal to 26499?
True
Is 1 less than -0.003021?
False
Is 1273115 at least 0?
True
Which is bigger: -467266 or -467267?
-467266
Which is smaller: -17677/4 or 3?
-17677/4
Which is greater: -2 or 104123?
104123
Is 101520 bigger than -2?
True
Which is greater: -1363704 or -1363703?
-1363703
Is 5751/28 greater than 0.01?
True
Is -324 less than -391?
False
Which is greater: -2/11 or -291404?
-2/11
Which is smaller: -0.74 or -1292?
-1292
Which is bigger: 0 or 5/27386?
5/27386
Which is smaller: -14/44939 or 0?
-14/44939
Is 13/88495 >= 1?
False
Which is greater: 0.2 or -3106.5?
0.2
Which is smaller: 1865637 or 1865636?
1865636
Are -2/5659637 and -1 unequal?
True
Is 4 > 2112/457?
False
Is 426 at most as big as 328?
False
Which is smaller: -1 or 7481/8?
-1
Which is bigger: -46 or -91?
-46
Is 1 < -11/341718?
False
Is -6646 at most -6683?
False
Is 1 <= 281.16?
True
Is -3165 >= -0.26?
False
Which is greater: 416008 or 0.1?
416008
Which is smaller: 56619 or 56620?
56619
Is 50 bigger than 69?
False
Which is smaller: -2/91135 or 1?
-2/91135
Is -1.24 at most -60/49?
True
Which is bigger: -0.08 or -494418?
-0.08
Are 117593 and 117586 nonequal?
True
Which is smaller: 109.04 or -3?
-3
Is 3 bigger than 0.21266?
True
Which is greater: 345 or -2?
345
Which is smaller: 2315415 or -1?
-1
Is -17765 smaller than -17767?
False
Which is bigger: -1274 or -29284/23?
-29284/23
Which is smaller: 55 or -0.739?
-0.739
Which is smaller: 42/29423 or -1?
-1
Which is greater: -721 or -341?
-341
Which is smaller: -1385 or -1399?
-1399
Is -2177 less than or equal to 0.6?
True
Are -0.2084 and -850 unequal?
True
Is 11 smaller than 446/41?
False
Which is greater: -109828 or -1208112/11?
-109828
Is -0.3 at most as big as -54/1337?
True
Which is smaller: -6270 or -2?
-6270
Which is smaller: -18 or -4/77?
-18
Is 8 less than or equal to -11784?
False
Is -366793 less than 16?
True
Is 8202 >= 24/17?
True
Which is smaller: -18383/194 or -94?
-18383/194
Is 114166 < 114167?
True
Is -2796 != -2879?
True
Which is greater: 1162 or 1
|
{
"pile_set_name": "DM Mathematics"
}
|
e 3*g(w) + n(w).
-37*w**2 + 3*w - 7
Let c(u) = 21*u**3 + 3*u + 4. Suppose 8*f + 11876 = 11948. Let s(l) = 43*l**3 + 7*l + 9. Calculate f*c(d) - 4*s(d).
17*d**3 - d
Let g(q) = -19*q**3 + 3*q**2 - 10*q - 1. Let t(p) = 2*p**3 - p**2 + 7*p + 2. Determine g(i) + t(i).
-17*i**3 + 2*i**2 - 3*i + 1
Let b(p) = -6*p**3 - 4*p**2 + 135*p - 7. Let x(h) = -11*h**3 - 7*h**2 + 268*h - 14. Determine 7*b(m) - 4*x(m).
2*m**3 - 127*m + 7
Let r(j) = -2*j**3 + 11*j**2 + 4*j + 4. Let q(y) = 2*y**3 - 12*y**2 - 5*y - 5. Let k be 5 - (1 + -21)*(-11)/22. What is k*r(n) - 4*q(n)?
2*n**3 - 7*n**2
Let p(g) = 6*g**3 + g**2 + 18*g + 10. Let w(t) = 3*t**3 + 11*t + 4. What is 3*p(x) - 5*w(x)?
3*x**3 + 3*x**2 - x + 10
Let v(b) = 6*b**3 - 5*b**2 + 61*b - 11. Let o(m) be the third derivative of -m**6/120 + m**5/60 - m**4/2 + m**3/3 + 386*m**2. Calculate -11*o(z) - 2*v(z).
-z**3 - z**2 + 10*z
Let b(a) be the third derivative of -a**5/15 + a**4/4 + 19*a**3/6 + a**2. Let q(d) = 3*d**2 - 4*d - 13. Let g = 535022 - 535015. Determine g*q(l) + 5*b(l).
l**2 + 2*l + 4
Let o(l) = -24*l**2 - 6*l + 38. Let g(s) = 10*s**2 + 3*s - 17. Calculate 5*g(d) + 2*o(d).
2*d**2 + 3*d - 9
Let n(a) = -166*a + 1. Let q(z) = 1474*z - 8. Determine -52*n(w) - 6*q(w).
-212*w - 4
Suppose 3*r + 14 - 5 = 0. Let s(l) = 2*l + 5. Let p(u) = -3*u - 9. Suppose -4*x + 4*i = 494 + 190, 0 = -4*i. Let c = x + 166. What is c*s(g) + r*p(g)?
-g + 2
Let g(p) = 34*p + 25. Let o(n) = 42*n + 26. Give 5*g(a) - 4*o(a).
2*a + 21
Let g(p) be the first derivative of -11*p**2 - 12 + 15*p**2 - p + 5*p. Let h = 29 - 32. Let d(u) = -7*u - 3. Determine h*g(r) - 4*d(r).
4*r
Let w(i) = -i**2. Let r(b) be the second derivative of -b**4/2 - 955*b. Determine -6*r(p) + 33*w(p).
3*p**2
Let c(u) = 1. Let m(x) = -2*x - 1. Let a(s) = 4*s. Let o(w) = 3*a(w) + 5*m(w). Let j = -60 + 144. Let n be (-12)/(-66) + j/22. Calculate n*c(y) + o(y).
2*y - 1
Suppose u = 5*j - 0*u - 20, -2*j = -4*u - 8. Let q(p) = -3*p**3 - 73 + 3*p**2 - j*p + 5*p**3 + 72. Let l(h) = -h**3 - h**2 + h - 1. Calculate 3*l(n) + q(n).
-n**3 - n - 4
Let f(x) = -770*x + 770*x - 2*x**2. Let i(g) = -g + 21. Let c be i(9). Let p(v) = v**2. Give c*p(q) + 3*f(q).
6*q**2
Let m(f) = 8*f**3 + 3. Let x(d) = -655*d**3 + 223*d**3 + 219*d**3 + 0 + 220*d**3 + 2. Let u be ((-20)/(-50))/(1/(-5)). Calculate u*m(w) + 3*x(w).
5*w**3
Let b(g) = -40*g - 2. Let j(n) be the first derivative of -41*n**2/2 - 3*n + 2270. Give 3*b(r) - 2*j(r).
-38*r
Let j(d) = 4*d**3 + d + 1. Let x(c) = 1. Let k(v) = -4. Let o(f) = -k(f) - 3*x(f). Suppose 2*i + 5*w = -4, -1371*i = -1368*i + 4*w - 1. What is i*o(s) - j(s)?
-4*s**3 - s + 2
Let u = -15736 + 15729. Let k(l) = 2*l**2 - 5*l - 15. Let n(r) = -3*r**2 + 7*r + 22. Calculate u*k(j) - 5*n(j).
j**2 - 5
Let a(s) be the first derivative of -3*s**4/2 + 11*s**3/3 - 3*s**2 + 15*s + 2866. Let r(p) = p**3 - 2*p**2 + p - 3. Give -2*a(j) - 11*r(j).
j**3 + j + 3
Let j(a) = 31*a + 128. Let i be j(-4). Let v(g) = 5*g**3 - 3*g**2 + 6*g. Let z(t) = 9*t**3 - 7*t**2 + 13*t. What is i*z(d) - 9*v(d)?
-9*d**3 - d**2 - 2*d
Let m(c) = 2*c**2 - 27*c - 234. Let o(i) = -3*i**2 + 21*i + 234. Give 4*m(k) + 5*o(k).
-7*k**2 - 3*k + 234
Let s(c) = -19*c**2 + 11*c. Let g(n) = -3*n**2 + 171*n - 7. Let w(r) = 2*r**2 - 122*r + 5. Let a(t) = 5*g(t) + 7*w(t). Give 44*a(z) - 4*s(z).
32*z**2
Let x(r) = 67*r. Let t(z) = 68*z + 75. Calculate t(p) - x(p).
p + 75
Let b(p) = -p - 1. Let a be (-23)/(-69)*42 + (-1 - 8). Let k(c) = c**2 - 5*c + 12. Give a*b(s) - k(s).
-s**2 - 17
Let m(j) = 29*j**2 + 6*j + 144. Let z(f) = -32*f**2 - 7*f - 145. Calculate 7*m(b) + 6*z(b).
11*b**2 + 138
Suppose -57*b + 148 = -94*b. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
7*v + 7. Determine a*w(p) - 5*k(p).
-p - 1
Let c(f) = -f. Let t(v) = -2*v - v**2 + 0 + 2 + 3*v**2. Let s = -23500 - -23503. What is s*c(g) - t(g)?
-2*g**2 - g - 2
Let g(t) be the second derivative of t**3 - 9826*t + 5. Let o(c) = -c. Let p be 11/(-2) - 2/(-4). What is p*g(s) - 40*o(s)?
10*s
Let h(m) = -27*m**2 - 47*m - 11. Let t(j) = 11*j**2 + 23*j + 7. Calculate 2*h(v) + 5*t(v).
v**2 + 21*v + 13
Let d(w) = 0 - 1 - w + 2*w. Suppose -5*g + 1970 = -4*r + 8*r, -413 = -g + 3*r. Let y = 386 - g. Let a(j) = -10*j + 12. Determine y*d(x) - a(x).
-2*x
Let m(u) = -4 - 26*u**2 - 121*u + 12*u + 109*u. Let b(j) = -1. Give 4*b(o) - m(o).
26*o**2
Let x(b) = 5*b**3 + 3965*b**2 - 15*b + 3. Let w(u) = 6*u**3 + 3964*u**2 - 20*u + 4. Determine -3*w(l) + 4*x(l).
2*l**3 + 3968*l**2
Let g(n) = -16*n**3 - 4*n**2 - 4*n - 99. Let p(j) = 16*j**3 + 5*j**2 + 5*j + 96. Calculate -5*g(q) - 4*p(q).
16*q**3 + 111
Let l = -16274 - -16269. Let j(x) = 8*x**3 - 7*x**2 + 6*x. Let s(r) = -7*r**3 + 7*r**2 - 5*r. Determine l*j(k) - 6*s(k).
2*k**3 - 7*k**2
Let k(n) = -73*n + 1013. Let q be k(14). Let b(y) = 25*y**2 - 8*y - 9. Let v(a) = -6*a**2 + 2*a + 2. Calculate q*v(t) - 2*b(t).
4*t**2 - 2*t
Let d = -13895 - -14240. Let k(i) = 11523*i**2 - 345*i - 345. Let q(m) = 67*m**2 - 2*m - 2. Give d*q(w) - 2*k(w).
69*w**2
Let d be (-43600)/(-3815)*((-7)/2 + 0). Let g(a) = -1. Let t(q) = -40*q - 40. Determine d*g(p) + t(p).
-40*p
Let k(l) = -233*l**3 - 12. Let i(j) = -697*j**3 - 37. Calculate -3*i(w) + 8*k(w).
227*w**3 + 15
Let x(p) = -p**2 + p + 1. Let c(s) = 5*s - 4*s**2 - s - 2*s**2 + 4. Let h be 27/(-12) + 4 - (-3)/(-4). Suppose 2*w = -h + 3. Calculate w*c(k) - 4*x(k).
-2*k**2
Let z(y) = 72*y**2 + 305*y + 237. Let l(w) = 107*w**2 + 427*w + 355. Determine 5*l(u) - 7*z(u).
31*u**2 + 116
Suppose 3*f = -3*n - 3, -4*f = n - 5*n + 20. Let g(w) = -w**2 - 4*w - 1. Let b(p) = 16978 - 2*p + 4*p - 16978 - p. Give n*g(i) + 7*b(i).
-2*i**2 - i - 2
Let k(q) be the first derivative of -q**2 + 19*q + 3622. Let x(a) = -1. What is k(o) + 2*x(o)?
-2*o + 17
Let x(y) = -2*y + 9 - 13 + 5 + 3*y - y**3. Suppose 3*d = 9 - 21. Let w(r) = r**3 + r + 1. Calculate d*x(u) + 4*w(u).
8*u**3
Let w(i) be the first derivative of i - 45. Let k(h) = -h**2 + 9*h + 1. Let q be k(0). Let t(f) = -5*f**3 + 2*f + 3. Determine q*t(n) - 2*w(n).
-5*n**3 + 2*n + 1
Let z(w) be the first derivative of w**2 + 4*w - 4. Let g be (-28)/(1/(-3) + 30/36). Let j = g - -54. Let n(d) = -2. Calculate j*z(p) - 4*n(p).
-4*p
Let j(l) = 5*l + 40. Let x(h) be the third derivative of -h**4/24 - 1403*h**2 + h - 1. Calculate j(c) + 4*x(c).
c + 40
Let g(m) = 1697*m**3 - 19*m**2 - 1. Let r(l) = -2546*l**3 + 27*l**2 + 1. Give -7*g(w) - 5*r(w).
851*w**3 - 2*w**2 + 2
Let p(q) = -27*q**2 - 2*q + 4. Let g(x) = -22*x**2 - 5*x + 4. Calculate -5*g(c) + 4*p(c).
2*c**2 + 17*c - 4
Let p be ((-78)/(-8))/(24/32). Suppose -17*m + p*m = 0. Let r be 2 + 1/1*(3 + m). Let g(b) = -3*b**2 + 7. Let t(z) = 3*z**2 - 6. What is r*t(q) + 4*g(q)?
3*q**2 - 2
Let n(y) = 83*y - 17. Let g(j) = 39*j - 6. Determine -15*g(u) + 6*n(u).
-87*u - 12
Let x be (28/(-5))/(-5*14/(-525)). Let a be ((-24)/x)/(2/14). Suppose -11 - a = -15*l. Let w(g) = -1. Let s(f) = -2*f. Calculate l*s(i) - 2*w(i).
-2*i + 2
Let y(j) = -35*j - 14. Let d be (150 + -157)*(-8)/(-4). Let i(n) = -10*n - 3. Let c(z) = -z. Let p(a) = 3*c(a) - i(a). Calculate d*p(r) - 3*y(r).
7*r
Suppose 5*z - 50 = 5*b, 20*z = 23*z - 4*b - 25. Let h(x) = -3*x - 15. Suppose -6*i + i + 25 = 0. Let m(q) = i + 6 - 10. Determine z*m(a) + h(a).
-3*a
Let d(r) = 3*r**2 + 19*r + 18. Let z be d(-6). Suppose 0 = -7*x - 47 + z. Let h(j) = -7*j**2 - 5*j. Let o(a) = -3*a**2 - 2*a. Determine x*o(k) + 2*h(k).
k**2
Suppose 14 = -9*l + 8*l - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
(h/h**7*h**(-1/2)*h)/(h**(-2/25)*h**(2/27)*h)*(h**(-2)*h/(h*h*h**2))/(h**(1/4))**48 assuming h is positive.
h**(-31717/1350)
Simplify ((v/(((v*v/(v/((v/v**(3/5)*v*v)/v))*v)/v*v)/v)*(v**(-15)/v*v*v)/v*v)/((v/(v*v*v**(-1/3)/v))/v)**25)**(-2/85) assuming v is positive.
v**(-38/1275)
Simplify (a**8/a*a*a/(a*(a*a**(-2/7)*a)/a))/((a*a*a**(1/2))/(a/(a*a*a**(-6/5))))*(a**(-1))**(3/17)*(a**(2/7))**(-2/31) assuming a is positive.
a**(176733/36890)
Simplify p**(-2)/p**(-1/6)*(p/(p/(p/(p**(2/7)/p))))/p*p**(-2/7)*(((p*p**(3/13)/p)/p)/p*p*p**(4/9))**(-48) assuming p is positive.
p**(7745/546)
Simplify ((p*p**24)**2*(p**(-4))**(-3/8))**(-2/69) assuming p is positive.
p**(-103/69)
Simplify i*i**(4/7)*i**(3/8)*(i/(((i*i**(-2/5)/i*i)/i)/i*i*i))/i**(-4)*(i*i**(2/3)*i**6)**(-36) assuming i is positive.
i**(-75503/280)
Simplify ((t*t**(-7))/(t**(-6)*t)*(t*t**(-8)*t)/(t*t**(-22)))**46 assuming t is positive.
t**644
Simplify ((((u/u**23)/u)/u**(3/5))/(u**27/u*((u**(1/2)*u)/u)/u))**(3/32) assuming u is positive.
u**(-1473/320)
Simplify ((l/l**(2/43))/l**(2/5)*l**(-10)/(l/l**(-17)))**(-3/29) assuming l is positive.
l**(17703/6235)
Simplify ((((y**(-22)*y)**(16/9))**(13/8))**(-50))**21 assuming y is positive.
y**63700
Simplify (g*g**(1/6)*(g/(g**(1/2)*g))/g)**(2/5)/((g**(2/5))**(-16)*(g*g*g*g**(-4/7)*g*g)/g**(-5)) assuming g is positive.
g**(-332/105)
Simplify ((c**(-1))**(1/3)/(c*c*c*c/c**(2/7)*c*c*c)**(-2/15))/((c/(c*c*c/(((c**(6/5)/c)/c)/c)))/c**(-9))**(-1/63) assuming c is positive.
c**(29/45)
Simplify ((j*j**0*j*j**(-3))/(j*(j/((j**(1/4)/j)/j))/j*j*j*j/j**2))/((j/j**(1/2)*j*j*j**3)/(j**0)**3) assuming j is positive.
j**(-41/4)
Simplify ((((r*r**(-21)/r)/r)/(r*r**(-13)/r))/(r**(-5))**27)**34 assuming r is positive.
r**4284
Simplify (i**(13/2)*i)**(-1/17)/((i**(2/9)/i)/(i*i**5)) assuming i is positive.
i**(1939/306)
Simplify ((j**(2/7))**(-3/41))**(-19)/((j**(-2/7)/j)/j**(-7))**11 assuming j is positive.
j**(-17926/287)
Simplify ((f**(-16/5)*f**20)/(f**(-9)/(f*f**(-14))))**31 assuming f is positive.
f**(1984/5)
Simplify (s**(2/5)*s**(-2/23)/s)**31/(s*s**2*s*s**(2/7))**45 assuming s is positive.
s**(-172393/805)
Simplify (((t*t/t**(-1/3))/t)**(8/5))**(-6/5)/((t**2)**(-45)*(t**(-2)*t)**(-1/3)) assuming t is positive.
t**(6533/75)
Simplify ((h/((h*h**18)/h)*h)**(-11)*h**7/(h/(h*h/(h**(-28)/h)*h)))**(6/11) assuming h is positive.
h**(1284/11)
Simplify (i**(-4)*i*i*i/i**4*i*i**(-2/9)/i**(-4))/(i**2*i**(2/9)*i*i**5*i**7) assuming i is positive.
i**(-139/9)
Simplify (t**(-1/3)/t*t)**(-7)/((t*t**(-4/5)*t)/t*(t**(2/17)*t)/t)*((t*t**(2/7))**(11/4))**(-10) assuming t is positive.
t**(-119029/3570)
Simplify (((((g*((g*g/(g/(g*g**(-3)))*g)/g)/g)/g)/g)/g)/(g*g**(4/7)/g*g*g))**(-13)*(g**(-1/4)/(g/(g*g**(-2/7)*g*g)))**(-3) assuming g is positive.
g**(2269/28)
Simplify (x/(((x/(x**(-2/7)/x))/x)/x*x*x)*x*x)**2*x**(2/15)/x*x**(-2)*x**4*(x**(3/2)/x)/x*(x/((x*x/((x*x**(-2))/x))/x)*x)**(-39) assuming x is positive.
x**(8623/210)
Simplify ((l**(2/9))**33*(l/(l**4/l))/(l**(2/37)/l))**19 assuming l is positive.
l**(13243/111)
Simplify ((l**3*l)/l**(-2))/(l**(-4/3)*l*l**(1/8))*(l**(-1))**3/(l**0*l*l/(l/(l**(1/4)*l))*l) assuming l is positive.
l**(-1/24)
Simplify ((a**(-24)*a**18)/(a**(1/16))**(3/22))**(2/19) assuming a is positive.
a**(-2115/3344)
Simplify ((h**(-1)/h)**(-49))**39*(h**(-6)*h/(h/((h/h**(2/3))/h*h)))/(h**(-3/5)*h/(h*h**(-1/4))) assuming h is positive.
h**(229001/60)
Simplify ((((h**(2/35)/h)/h)/((h/h**(-39))/h))**31)**(-34) assuming h is positive.
h**(1510382/35)
Simplify (c**1)**(-12)*c**(-7)*c*c*c*c/c**1*(c**(1/6)*c**(-6))/(c*c*c*c/(c**(-1)*c)*c*c)**(-3/4) assuming c is positive.
c**(-52/3)
Simplify (j**(-4/21)/j**(-7/3)*j**(-22)*j**27)**(-37) assuming j is positive.
j**(-1850/7)
Simplify (z/(z**0/z*z)*z)**(-31)*(z/z**(-1)*z)/(z/((((z**(2/5)*z)/z)/z)/z))*z/z**0*z**(-7)*z**2*z**(2/3)/z assuming z is positive.
z**(-989/15)
Simplify (g*(g*g**(-36))/g)**(-14)/(g**(2/51)*((g**(1/32)*g)/g*g)/g*g) assuming g is positive.
g**(797933/1632)
Simplify ((o*o**(-2/47))/o*o/(o*o**(-9/4)))/(o/o**(-2/21)*o**(5/13)*o) assuming o is positive.
o**(-13981/51324)
Simplify (((n/(n*n/n**(8/7)))/(n*n/n**2))/(n**(3/4))**(37/3))**(-5) assuming n is positive.
n**(1275/28)
Simplify ((c*c/(c**(-1/2)/c*c))**2*((c/(c*c/((c/c**0)/c*c)*c))/c)/c**(2/5))/((c**(-2/7)*c)**(25/
|
{
"pile_set_name": "DM Mathematics"
}
|
220*j - 216*j - 28. Let f be 20 + -4 - j - (-1 + 3). Sort 0, 4, f in decreasing order.
f, 4, 0
Let o = 2279.1 + -2159. Let c = o - 120. Sort 4/5, c, 4/77 in ascending order.
4/77, c, 4/5
Let v = -606.65 + 692.568. Let p = v - 86. Let d = p - 4.918. Sort -6/11, 3, d.
d, -6/11, 3
Suppose 1 = 18*h - 17*h + 16. Put h, -1/2, 30 in descending order.
30, -1/2, h
Let b = -103/82 + 557/574. Sort b, -5, -143.
-143, -5, b
Suppose i = 3*h + 4*i - 294, 3*h - 5*i = 326. Let n be (38/(-8))/(4 - h/24). Let m(d) = -d**2 + 21*d - 40. Let x be m(n). Put x, -5, -6 in descending order.
x, -5, -6
Suppose -3*t + 898 = -2*v, 4*t = -4*v - 1672 - 204. Sort -5, -6, 2, v, 5 in increasing order.
v, -6, -5, 2, 5
Let b be 0 - (10 + (5 - 16)). Let u be (-8)/(-28) - (-46)/(-14). Put -43, u, b in ascending order.
-43, u, b
Let y(c) = -6*c**2 - 162*c + 1. Let h = 715 - 742. Let w be y(h). Suppose 4*j - 60 = 16. Sort w, j, 0, 3 in ascending order.
0, w, 3, j
Suppose -3*p - 7 = n, 0 = 5*n - 9*p + 5*p - 3. Suppose 407*d = 4*a + 405*d + 50, d = 3*a + 36. Sort a, -4, n in descending order.
n, -4, a
Let t = -3 + 8. Suppose -1 + 7 = 3*r - t*w, 0 = -4*w. Suppose 0 = 3*k + 2*j - 4, 2*j = 4*k - j + 6. Sort -1, r, k in descending order.
r, k, -1
Let i = 2018 - 2007. Let z = -21 - -22. Sort 0, i, z, -0.2 in descending order.
i, z, 0, -0.2
Let u(f) = -f**2 + 9*f - 15. Suppose 0 = -2*i - p + 6, 4*i - 2 = -p + 12. Let k be u(i). Sort -3, -5, 8, k.
-5, -3, k, 8
Suppose -29*t - 3*t - 24*t = -168. Suppose 0 = -2*s + 4*f - 6, 3*s + 5*f + 7 = -2. Sort s, t, -2, 8.
s, -2, t, 8
Let x = 10.991 + -10.691. Sort x, 3/5, 2/5, 0.1, 1/9 in descending order.
3/5, 2/5, x, 1/9, 0.1
Let g(i) = -i**3 + 16*i**2 + 18*i - 20. Let f be g(17). Let p = f - -5. Let s(a) = -a**3 + 3*a**2 - 3*a - 2. Let r be s(p). Sort r, 3, -5 in descending order.
3, r, -5
Suppose 0 = 13*s - 6*s - 14. Let k(y) = -6*y**3 - 2*y**2 + 24*y - 21. Let w be k(1). Sort w, -91, 3, s in increasing order.
-91, w, s, 3
Let t(k) = -6*k - 33. Let d be t(-7). Let l = 3729 - 3717. Sort -4, l, d in decreasing order.
l, d, -4
Let y = 0.51543 - 0.01543. Put 0.3, 8, -0.4, 5/3, y in increasing order.
-0.4, 0.3, y, 5/3, 8
Let c be 0/2 - (-26)/20*(-14)/91. Sort c, -3, 127, 3/5, -0.3 in increasing order.
-3, -0.3, c, 3/5, 127
Let x(u) = u**3 - 29*u**2 + 61*u + 37. Let d be x(27). Suppose -10*i + d - 206 = 0. Sort -3, 6, i in ascending order.
-3, i, 6
Let r = 1963 - 1968. Put 63, r, -14 in increasing order.
-14, r, 63
Let k be (2 - 0) + 0 - 0. Let a be 5 - k/(-3 - -1). Suppose -76*z + 269 + 154 = 65*z. Put z, a, 5 in decreasing order.
a, 5, z
Let h = 187 + -185. Sort -197, h, -3.
-197, -3, h
Let i(f) be the first derivative of f**4/4 - 2*f**3/3 - 7*f**2/2 - 6*f - 9. Let h be i(4). Let o be 12/(-8) - (-9)/6. Sort -7, h, -5, o.
-7, -5, h, o
Suppose 1215 - 1197 = -6*d. Sort 4, d, -2, -30 in increasing order.
-30, d, -2, 4
Let p(q) = -15 - 2*q**2 - 4*q**2 + q**3 - q + 6 + 14 + 20. Let x be p(3). Sort 2, x, -15 in decreasing order.
2, x, -15
Let p = -0.1 + -0.1. Let q(g) = -82*g - 8204. Let w be q(-100). Put p, w, 22 in decreasing order.
22, p, w
Let q = -41 + 25. Let a = -55 - -277/5. Let g = 6963/4 + -1741. Put g, a, q in descending order.
a, g, q
Let s(c) = -c + 22. Let l be s(21). Suppose 0 = -3*k - i + l, 0 = 2*k + 2*k - 2*i - 8. Put k, -3, 3 in decreasing order.
3, k, -3
Let v = -205.6 - -37.6. Let b = v + 171. Let x be -3 - (21/(-6) - -2). Put x, b, 0.2, 2 in ascending order.
x, 0.2, 2, b
Let t = 10695 + -10451. Sort t, 0.4, -1, -4, 1/3 in descending order.
t, 0.4, 1/3, -1, -4
Suppose 0 = -349*m + 347*m + 10. Suppose -5*t = -10*t. Suppose -5*c = -0*x - x - 9, -x - 4*c + 9 = t. Sort x, m, -5, -2 in decreasing order.
m, x, -2, -5
Let f = 3772 - 3772.5. Put -113, -1/5, 1, f, 0 in decreasing order.
1, 0, -1/5, f, -113
Let q(a) = a**2 - 55*a + 371. Let w be q(47). Put w, 28, 4, -3, -1 in decreasing order.
28, 4, -1, -3, w
Let w be (694/234 + -3)/((-26)/117). Sort 3, w, -2 in descending order.
3, w, -2
Let l = 0.4 + 1.6. Let b = 50 - 47. Let r = b - 3. Sort 1/11, r, l in descending order.
l, 1/11, r
Let u be 8/(-12) + (-3 - 397/(-108)). Let q = u + 295/3132. Let y = 37/203 + q. Sort -0.11, -4, y in decreasing order.
y,
|
{
"pile_set_name": "DM Mathematics"
}
|
f*t + l*t**4 and give f.
2
Express 11*u - 22*u + 11*u + 28*u**2 - u**2 + 4*u**2 - 4*u**2 + (111*u + u**2 - 111*u)*(5 - 1 - 2) as y*u**2 + h*u + z and give h.
0
Rearrange -107*u + 2 + 16*u**2 + 26*u - 17*u**2 + 2*u**2 to the form t + f*u + k*u**2 and give f.
-81
Express -218 - 165 - 152 + t + 407 in the form k + m*t and give m.
1
Rearrange -7*w**3 + 5*w**2 - 8*w**2 + 0*w - 6*w - w**4 + 5*w to n*w + s + t*w**4 + q*w**3 + d*w**2 and give t.
-1
Rearrange (-w**3 - 2*w**3 + 5*w**3 + (-2 - w**2 + 2)*(-2*w + 3*w - 3*w))*(141 - 129 - 4*w + 10*w) to the form i*w + n + y*w**3 + z*w**4 + m*w**2 and give z.
24
Express 2 - 2*f - 2 + 1 + f - 1 + (0*f - f + 0*f)*(2 + 4 - 4) + (-11*f - 13*f + 11*f)*(5 - 4 - 6) in the form k + a*f and give a.
62
Express -1 - o + 0 - 5*o + 5*o - o**3 - 2*o**4 as y + u*o + l*o**2 + m*o**3 + r*o**4 and give u.
-1
Rearrange 273*g - 93*g - 379*g**2 - 179*g - 2 to h + r*g**2 + x*g and give x.
1
Express 21754 + 91*d**2 - 21754 + (3*d + d - 6*d)*(0*d + d - 3*d) in the form v*d**2 + a + u*d and give v.
95
Express -20*n**3 - 34*n**3 + 49*n**2 - 50*n**2 as m + a*n**3 + v*n + x*n**2 and give a.
-54
Express -3*p + p - 1584*p**2 + 1478*p**2 in the form f*p**2 + t + m*p and give t.
0
Rearrange -51*c**2 - 97 + 97 to k*c + q*c**2 + f and give q.
-51
Express 5*k**3 - 21*k**4 - 18*k + 2*k**4 + 21*k in the form v*k**2 + h + p*k**4 + i*k**3 + m*k and give i.
5
Express (-275 + 338 - 262)*(-s + 4*s + 3*s) as h + w*s and give w.
-1194
Rearrange (7*u + 3*u - 9*u)*(-u**2 + u**2 - u**2) + 442*u**3 - 4138*u + 4138*u to the form h*u**2 + a*u**3 + s + j*u and give h.
0
Express -17*c + 45*c**2 + 4*c**3 - 25*c**2 - 22*c**2 in the form j*c**2 + n + r*c + g*c**3 and give r.
-17
Express (0 + 3 - 4)*(v + 1 - 1) + (-3 + 4 - 3)*(47*v - 23*v + 28 - 26*v) in the form y + w*v and give y.
-56
Express (l + l + 0*l)*(0*l - 2 - 3*l + l)*(-14*l + 38*l - 14*l)*(101*l - 12*l + 65*l) as h*l + q + p*l**4 + j*l**2 + k*l**3 and give p.
-6160
Rearrange (0 + 1 - 4)*(-f**3 - 2*f**3 + 2*f**3) + (-4*f - 9*f + 3*f)*(-3 + 3 - 2*f**2) + 0 + 0 + 2*f**3 to j*f**3 + u*f**2 + y + d*f and give j.
25
Express -173 + 135 + 510*w + 38 in the form y*w + q and give y.
510
Express (-2*v + 4*v - 3*v)*(-3*v + 3*v + v) + 87*v + 85*v**2 - 87*v + 1 in the form y + j*v + o*v**2 and give y.
1
Express (4*m - 3*m - 3*m)*(-54*m + 1 + 14*m**2 + 54*m)*(4*m - 7 + 6 + 5*m) as y*m + j*m**3 + o*m**2 + c*m**4 + n and give n.
0
Rearrange (2*u**3 - 3*u**3 + 0*u**3)*(-43 + 79 - 57) + 0*u**3 + 2*u**3 + 3*u**3 to j*u + s + g*u**2 + t*u**3 and give j.
0
Express ((-1 + 0 - 2)*(-2*w + w + 3*w) + 8 + 2*w - 8)*(1 - 3 - 2) in the form a*w + t and give a.
16
Rearrange -5 + z + 10 + 2*z**3 - 7*z to u*z + i + f*z**2 + w*z**3 and give i.
5
Express -7*m**2 - 23*m + 3*m**3 - 29*m + 50*m - 11 + 12 as w*m + c + u*m**3 + j*m**2 and give c.
1
Express 65*a**2 - 325*a**2 + 43*a**2 - 251*a**2 as z*a**2 + j + f*a and give z.
-468
Express (-3*d + 3*d**2 + 3*d)*((-3 + 3 + 2)*(50 + 50 - 80) - 3 + 5 - 4)*(-2 + 5*d - 3*d - 4*d) in the form w + q*d**3 + r*d + i*d**2 and give q.
-228
Rearrange 147*m**2 + 535*m**2 + 388*m**2 + 67*m**2 to r + p*m + q*m**2 and give q.
1137
Express (13*c - 11*c + 2 + 4*c)*(16 + 15 - 11) in the form b + l*c and give b.
40
Express 891*v**2 + 1 - 6*v**3 - 891*v**2 - 605*v + v**3 + 2*v**3 as f*v**2 + y*v + l + t*v**3 and give y.
-605
Rearrange -92*u**2 + 6*u**4 - 4*u**3 - u**4 + 122*u**2 + u + 0*u**3 - 3*u**4 to the form a + g*u + r*u**2 + j*u**3 + z*u**4 and give r.
30
Express 3*x - x**2 - x**2 + x**2 + 18 + 170 - 6*x in the form z*x + y*x**2 + i and give z.
-3
Express 9*z**3 + 7*z**3 - 15*z**3 - 53*z - 1 in the form a*z**3 + v*z**2 + o + d*z and give a.
1
Express (5*s + s - 4*s)*(-737 + 1108 + 2*s - 756) as w*s + a*s**2 + h and give a.
4
Express (-443*x - 4*x**2 + 4 - 8 + 441*x)*(90 - 90 - 16*x) in the form n + k*x**3 + p*x**2 + h*x and give k.
64
Rearrange -193*n + 133*n + 336*n + 782*n + 113*n to the form o*n + m and give o.
1171
Express -4*i**3 - 22
|
{
"pile_set_name": "DM Mathematics"
}
|
s greater: w or d?
d
Let k = 11851 + -12001. Which is smaller: -140 or k?
k
Let l = 15163 + -60653/4. Let x = -79.9628 - -80. Which is bigger: x or l?
x
Suppose -7*r + 791 = -5*r + v, 3*r - 2*v = 1204. Let b = r - 13136/33. Is b != -0.4?
True
Let y = 15/1391 + -1451/5564. Which is smaller: y or 5932?
y
Let h = -14 - 14. Let r = 400.9 + -373. Let o = r + h. Which is bigger: o or -1/3?
o
Let a be ((-3)/(-639))/(11/6). Let c be (66/27)/(-11)*135/(-30). Is c <= a?
False
Suppose 4*a + 20 = 3*z, 0*a = 4*a - 5*z + 20. Let r(l) = l**3 + 4*l**2 - 3*l - 5. Let y be r(a). Let x = y + 25. Is 11 bigger than x?
True
Let g(h) = -h**3 - 9*h**2 - 7*h + 6. Let i be g(-6). Let y = 51 + i. Let c be ((-3)/(-8))/(y/282)*-2. Which is smaller: 24 or c?
c
Let g = -17387 - -72312535/4159. Are g and 0 non-equal?
True
Let q = -256 - -276. Suppose 5*x - q = 0, -4*s - 6*x + 3*x = -16. Is -1/737 < s?
True
Suppose -3*v = j - 2*j + 15, 3*j - 5 = v. Let l = 123 - 124. Let a be (28/(-24) + l)/((-3)/(-6)). Is a at least v?
True
Let v = 0.3845 + -258.3845. Which is bigger: v or 0.07?
0.07
Let z(w) = 49*w**2 + 18*w + 2*w - 3*w**2 - 115 - 38*w**2. Let n be z(6). Is 292 less than n?
True
Let k be (-2)/(10/(-4) - -2). Let v(a) = 90*a + 280. Let d be v(-3). Suppose 2*r = t + d, k*t - 8 = -0. Which is greater: r or 8?
8
Let n = 176/1785 + -2/595. Let z be 1/(-5) - (-42)/35. Which is smaller: n or z?
n
Suppose -2*k + 5 + 3 = 0. Suppose 3*y - 5*t + 18 = 0, y + 3*t + 43 - 65 = 0. Let u = y - k. Which is bigger: -1/3 or u?
u
Let g be ((-3)/6 + (-6279)/(-12054))/1. Which is greater: 1 or g?
1
Let h(p) = p**2 - p - 1. Let a be h(-1). Let x = -1800010 + 5983232401/3324. Let m = x - -2/831. Which is greater: a or m?
a
Let x = -3219 - -2011877/625. Let f = 422 + -422. Is x != f?
True
Let l = 494 - 508. Let y = l - -24. Which is greater: y or -9?
y
Let f(q) = -6*q**2 - 11*q + 203. Let l be f(0). Which is smaller: 202 or l?
202
Suppose -2*w + 6 = -26. Let x be -6 - (-2)/(w/(-104)). Let y be -22 + -3 + (-2 - -4). Which is bigger: y or x?
x
Let i = -8.52 - -31.96. Let h = 98 + -98.56. Let x = h - i. Which is smaller: 2 or x?
x
Let t = -706 + 696. Let n = -22665/7 + 3227. Which is smaller: n or t?
n
Let a be 28/16*(-1)/(21/(-12)). Let o = -3 - -1. Let z be 69/(-21) - o - 1. Which is greater: a or z?
a
Let w be 325/5*2/(-5). Let y = -543 - -543. Which is bigger: w or y?
y
Let k = 3322688/379 + -8767. Which is bigger: k or -1?
k
Suppose 10521 = 203*w + 155 - 4656. Is 74 at most as big as w?
True
Let k(r) = -6*r**2 + 2*r. Let w be k(3). Let j = 159287 + -159334. Which is bigger: w or j?
j
Let n = 3/207466 + 1471660065/414932. Let a = n - 3526. Which is smaller: a or 21?
a
Let g = 1024/7 + -146. Suppose -3*t - 5*d = -626, 7*t - 3*t = -d + 846. Let n be t/(-530) - 23/(-70). Is g at most as big as n?
False
Suppose 0 = 13*r - 892 + 879. Are 2/25445 and r equal?
False
Let g = -1.253 - 0.647. Let z = -3 - -2.99. Is g bigger than z?
False
Let z = -2525 + 1904. Is z < 4?
True
Let q(g) = 2*g**2 + 8*g + 16*g**2 + 64 - 19*g**2. Let m be q(-5). Let c be 2/(-3)*(-2)/46. Which is greater: c or m?
c
Let k = 10951 - 10392497/949. Let d = 498247.9 + -498248. Which is bigger: k or d?
k
Let p = 178.41 - 49.91. Which is bigger: p or -2?
p
Let d = -7 - -5. Let l = -387 - -241. Let t = l + 130. Which is bigger: t or d?
d
Let u be 2450/(-9720) - (-2)/8. Let i = -4498 - -4497. Are i and u equal?
False
Let y = 231 + -220. Let h be (y - (0 - -6)) + -5. Which is smaller: h or -3/91?
-3/91
Let f = -0.399 - -71.399. Let o = f + -70.962. Which is bigger: o or 0.1?
0.1
Let y = 4.8 + -4.9. Let n = -360 + 5402/15. Which is greater: y or n?
n
Let o = -85 - -87. Suppose -o*j - c + 34 = 0, -4*c = -7*c. Which is smaller: j or 0.1?
0.1
Let n(q) = -6*q + 50. Let h be n(7). Suppose 1536 = h*r + 256. Is r at least 159?
True
Suppose 28*n - 13*n = -117*n + 366300. Is n greater than or equal to 2775?
True
Let k = 42 + -41.69. Let q = -22892 - -22891. Are k and q equal?
False
Let q = 92.5 - 98.57. Let g = -6.38 - -0.38. Let b = g - q. Which is smaller: 1 or b?
b
Suppose -2*s = -v, -s + v - 43 = -42. Which is smaller: s or 1/56554?
1/56554
Let h be (-244)/((-59 + 60)/(1*(-3)/3)). Which is smaller: h or 3174/13?
h
Suppose -5*g + 19 = 5*l - 11, 0 = 4*l + 2*g - 28. Suppose 2*b - 8 = 4*m, -3*m + l = -11*b + 13*b. Which is smaller: m or -45/8?
-45/8
Suppose 3*w - 75 = 4*j + 193, -4*w = 5*j + 304. Let x be 36*-3*(-5)/45. Let o = x + -76. Is o at least as big as j?
True
Let q = 0.0874 + -0
|
{
"pile_set_name": "DM Mathematics"
}
|
What is -126.1 rounded to the nearest 10?
-130
Round 0.15529 to two dps.
0.16
What is 2008300 rounded to the nearest 100000?
2000000
Round -37253.1 to the nearest 1000.
-37000
Round -0.004812 to three decimal places.
-0.005
What is 583 rounded to the nearest one hundred?
600
What is 0.92241 rounded to one dp?
0.9
What is -0.0049947 rounded to three decimal places?
-0.005
What is -1170 rounded to the nearest ten?
-1170
What is -0.257 rounded to 0 dps?
0
What is -2034.9 rounded to the nearest ten?
-2030
What is 28.8606 rounded to the nearest integer?
29
Round 0.0006781 to 5 dps.
0.00068
What is 7470000 rounded to the nearest one million?
7000000
Round -5561.2 to the nearest 10.
-5560
What is -34320 rounded to the nearest 1000?
-34000
Round -895460 to the nearest one hundred thousand.
-900000
What is 1729.5 rounded to the nearest ten?
1730
Round 13.1957 to 1 dp.
13.2
What is -54222000 rounded to the nearest 1000000?
-54000000
Round 218.33 to the nearest 10.
220
What is 24857 rounded to the nearest one hundred?
24900
Round 0.0004088 to four decimal places.
0.0004
Round -0.002178 to four decimal places.
-0.0022
What is 635 rounded to the nearest 100?
600
What is 0.2387 rounded to 2 dps?
0.24
Round -0.059929 to two decimal places.
-0.06
What is 16397000 rounded to the nearest one hundred thousand?
16400000
Round -9370000 to the nearest one million.
-9000000
Round 0.000006404 to six dps.
0.000006
What is 0.0000009678 rounded to 7 decimal places?
0.000001
What is 89940 rounded to the nearest 10000?
90000
Round -1.588 to the nearest integer.
-2
Round 1267300 to the nearest 100000.
1300000
Round 112.78 to the nearest ten.
110
Round -5.6569 to one decimal place.
-5.7
What is 0.1923 rounded to 2 dps?
0.19
Round 612000 to the nearest one hundred thousand.
600000
Round -847.2 to the nearest one hundred.
-800
What is -0.0244988 rounded to four decimal places?
-0.0245
What is -76.1 rounded to the nearest ten?
-80
Round 162.4 to the nearest 10.
160
What is -0.0002519 rounded to five dps?
-0.00025
Round 0.00003151 to 6 decimal places.
0.000032
Round -0.16447 to 2 dps.
-0.16
Round -20301000 to the nearest one hundred thousand.
-20300000
What is 0.00163 rounded to 3 decimal places?
0.002
What is -2307000 rounded to the nearest 100000?
-2300000
Round 67200 to the nearest 10000.
70000
Round -19170 to the nearest 100.
-19200
What is -0.0439 rounded to two dps?
-0.04
What is -2.64 rounded to one dp?
-2.6
What is -7302000 rounded to the nearest 1000000?
-7000000
What is -0.006085 rounded to 4 decimal places?
-0.0061
What is -17202000 rounded to the nearest 1000000?
-17000000
Round 0.0000949 to 6 decimal places.
0.000095
Round -0.00002522 to 6 dps.
-0.000025
Round 181.79 to the nearest ten.
180
Round 40.55 to the nearest 10.
40
Round 0.0007585 to 4 decimal places.
0.0008
What is -294050 rounded to the nearest 10000?
-290000
Round 0.0028247 to 4 decimal places.
0.0028
Round -0.00743 to three decimal places.
-0.007
What is 0.0000009202 rounded to 7 dps?
0.0000009
Round -0.000033389 to seven decimal places.
-0.0000334
Round -13.5737 to the nearest integer.
-14
Round -64430 to the nearest one thousand.
-64000
Round -0.0000003477 to seven decimal places.
-0.0000003
What is -52000 rounded to the nearest ten thousand?
-50000
What is -3.47256 rounded to 1 decimal place?
-3.5
What is -126.79 rounded to the nearest ten?
-130
What is -0.06499 rounded to 2 dps?
-0.06
Round 1.37 to the nearest integer.
1
What is 0.00205 rounded to four decimal places?
0.0021
What is -218820 rounded to the nearest 10000?
-220000
Round -122580 to the nearest 10000.
-120000
Round 10700 to the nearest one hundred.
10700
Round 10000000 to the nearest 1000000.
10000000
Round -2443.7 to the nearest 10.
-2440
Round -0.047 to two decimal places.
-0.05
Round 0.000059 to four dps.
0.0001
What is 0.00295 rounded to 3 dps?
0.003
Round -861 to the nearest ten.
-860
What is 199.872 rounded to the nearest 10?
200
What is 0.000011497 rounded to seven dps?
0.0000115
What is -0.0000126309 rounded to six decimal places?
-0.000013
Round -59.84 to the nearest ten.
-60
Round -46370 to the nearest 1000.
-46000
What is -0.0083425 rounded to 3 decimal places?
-0.008
What is -6646500 rounded to the nearest one hundred thousand?
-6600000
What is 1450 rounded to the nearest 1000?
1000
What is -0.0000006031 rounded to seven decimal places?
-0.0000006
Round 806 to the nearest one thousand.
1000
Round -8492500 to the nearest one hundred thousand.
-8500000
Round -0.07941 to 3 decimal places.
-0.079
Round 748040000 to the nearest 1000000.
748000000
What is -0.0000191338 rounded to 7 decimal places?
-0.0000191
What is -347.67 rounded to the nearest 10?
-350
Round -32802 to the nearest 1000.
-33000
What is -9838 rounded to the nearest 100?
-9800
What is 0.0006008 rounded to 5 decimal places?
0.0006
Round -0.00000053506 to 7 decimal places.
-0.0000005
What is -144 rounded to the nearest 10?
-140
What is -0.53061 rounded to three dps?
-0.531
What is -0.00061531 rounded to 5 decimal places?
-0.00062
What is -0.0063247 rounded to 5 decimal places?
-0.00632
What is 2405 rounded to the nearest 100?
2400
Round -2838 to the nearest one hundred.
-2800
Round 4091 to the nearest one hundred.
4100
Round -70190 to the nearest 1000.
-70000
What is 2.37 rounded to zero dps?
2
Round 0.000010561 to 6 dps.
0.000011
What is -177900 rounded to the nearest 10000?
-180000
Round -11050000 to the nearest 1000000.
-11000000
Round -0.00020413 to six decimal places.
-0.000204
What is -0.00010979 rounded to 6 dps?
-0.00011
Round 0.00017969 to six decimal places.
0.00018
What is 2.7799 rounded to one decimal place?
2.8
What is 0.05459 rounded to three decimal places?
0.055
What is 0.0000056001 rounded to six decimal places?
0.000006
Round -0.0000005948 to 7 dps.
-0.0000006
What is 0.00040943 rounded to 5 decimal places?
0.00041
Round 31500000 to the nearest 1000000.
32000000
Round 3.1723 to 1 dp.
3.2
Round 0.0001538 to five decimal places.
0.00015
What is 11157400 rounded to the nearest one hundred thousand?
11200000
Round -1093 to the nearest ten.
-1090
Round 58
|
{
"pile_set_name": "DM Mathematics"
}
|
Let a = 2.09 + -2.09000191. What is a rounded to seven dps?
-0.0000019
Let l(i) = -i**3 - 2*i**2 - i - 2. Let f(a) = a. Let m be f(-2). Let k be l(m). Suppose n + 2*n - 7200 = k. What is n rounded to the nearest 1000?
2000
Let u = 7559 + -7168.24. Let z = u - 379. Let r = 0.94 + z. What is r rounded to the nearest integer?
13
Let q = 411 + -411.0257. What is q rounded to 3 decimal places?
-0.026
Let q = -4.3 + 0.3. Let y = q - -4. Let s = -0.0024 - y. Round s to 3 decimal places.
-0.002
Let k = 184 - 183.9999881. Round k to six dps.
0.000012
Let f = -445 - -871. Let p = -425.99759 + f. What is p rounded to four decimal places?
0.0024
Let i = -461.00000482 + 461. Round i to six dps.
-0.000005
Let m = 3146 + -3159.31. Let x = 13 + m. Let b = -8.01 - x. What is b rounded to the nearest integer?
-8
Let r = -3589 + 1189. Let b be r/((1 - 0)/(-2875)). Round b to the nearest one million.
7000000
Let w(q) = 63284*q**2 - 45*q + 16. Let b be w(16). Round b to the nearest 1000000.
16000000
Let x be (-58)/7 - 4/(-14). Let s be ((-10)/x)/((-5)/(-100)). Round s to the nearest 10.
30
Let a = 19595674.99108 - 19596199. Let o = a + 513.01. Let h = 11 + o. What is h rounded to four decimal places?
0.0011
Let n = -26.5 + -30. Let z = n + 46. What is z rounded to the nearest integer?
-11
Suppose 2348 + 1852 = 3*n. Round n to the nearest 100.
1400
Suppose -z - 5 + 2 = -2*n, 3*n - 6 = 2*z. Suppose n*t = 4*t + 2080. Round t to the nearest 100.
-500
Let c = 1.07 + -1.1. Let o = -0.18 - c. Round o to 1 dp.
-0.2
Let w(d) = -190*d - 2. Let p be w(-7). Let c = 218 - p. Round c to the nearest 100.
-1100
Suppose 4000 = 5*z - 10*z. Round z to the nearest one thousand.
-1000
Let w = 0.042 - -23.958. Let h = -30.5 + w. Let m = 6.49999939 + h. Round m to seven dps.
-0.0000006
Let f = -2552008 - -5926667. Let v = f + -3374641.000037. Let j = -18 + v. What is j rounded to five decimal places?
-0.00004
Let n = -1.8 - -2.5. Let x = n + -2.4. What is x rounded to 0 decimal places?
-2
Let w = 32748.69979 + -32749. Let t = w + 0.3. Round t to 5 decimal places.
-0.00021
Let b(n) be the third derivative of -1999*n**4/24 - 4*n**3/3 - 8*n**2. Let t = -11 - -19. Let x be b(t). What is x rounded to the nearest 10000?
-20000
Let w = 43.5 + -27. Let i = -12 + w. Let y = i + -4.462. What is y rounded to two dps?
0.04
Suppose -26*o = -25*o. Let l = 2 - 0. Let a be 4699 + o - (-2)/l. What is a rounded to the nearest 1000?
5000
Let x = -812.46 + 803. Let i = x - -9. Round i to 1 dp.
-0.5
Suppose -2*u + 57010 = 3*r, r - 2394 = 3*u - 87898. Let j be 0 + -1 + -1 + u. Suppose -j = -4*n - n. Round n to the nearest 1000.
6000
Let t(q) = -2 - 8 + q - 1 + 0. Let k be t(11). What is k rounded to the nearest 10?
0
Let y = 54500 + -54504.7066. Let l = -4.7 - y. Round l to three dps.
0.007
Suppose 5*s - 5*g = -4030, 0 = -5*s + 4*g - 3*g - 4046. Round s to the nearest one hundred.
-800
Let w(l) = l**3 - l + 3100000. Let c = -14 + 14. Let x be w(c). What is x rounded to the nearest 1000000?
3000000
Let z(u) = u - 4900. Let v be z(0). What is v rounded to the nearest 1000?
-5000
Let z(c) = -c**3 + 6*c**2 + 16*c - 1. Let b(v) = -12*v**3 - 2*v**2 - 2*v - 1. Let a be b(-1). Let w be z(a). Round w to the nearest one hundred.
-400
Let b = 0 - -0.24. Let l = 0.231 - b. Round l to 2 decimal places.
-0.01
Let l = 0.8 - 1.37. Let x = l - 0.13. What is x rounded to 1 dp?
-0.7
Let s = -1.9 - -1.93. Let o = s + -0.02997. Round o to five dps.
0.00003
Let r(j) = 2*j**2 - j - 4. Let l be r(3). Let a be (-2)/l - 61600008/(-44). What is a rounded to the nearest one hundred thousand?
1400000
Let x = -0.39 + -0.01. Let b = x + 0.45. Let j = b - 0.049996. Round j to 6 dps.
0.000004
Let s(h) = 3940*h. Let t be s(5). Round t to the nearest one thousand.
20000
Let u be (-2)/4*(1 + 3). Let y be -2*u/4 - -145. Round y to the nearest ten.
150
Let g = 5 - 5.01. Let w = g - -0.0154. What is w rounded to three decimal places?
0.005
Let z = 0.1810071 - 0.181. What is z rounded to 6 dps?
0.000007
Let g(l) = 3*l**3 - 4*l**2 - 2*l - 4. Let k be g(8). Suppose 6*z + k = z. Round z to the nearest ten.
-250
Let b = 93851 - 56274. Suppose 2*z = 100351 + b. Suppose -j - 8964 + z = 0. What is j rounded to the nearest 10000?
60000
Suppose 0 = -5*k + 4203 + 7. Let b = 1762 - k. What is b rounded to the nearest one hundred?
900
Let r = 0.01 + -6.01. Let u = -10 - r. Let b = -4.00063 - u. What is b rounded to 4 decimal places?
-0.0006
Let j = -17.908 + 18. Let t = -3.1 - -3. Let a = j + t. What is a rounded to 2 dps?
-0.01
Let r = 24.914 + -25. What is r rounded to two dps?
-0.09
Let h = 18.4 + -6.6. Let v = h + -11. What is v rounded to 1 decimal place?
0.8
Let j = -9357235 - -5477235. What is j rounded to the nearest one hundred thousand?
-3900000
Let l = -64.03 - -0.03. Let p = l - -63.99999934. Round p to seven dps.
-0.0000007
Let b(k) = -k. Let i be b(-5). Suppose p + 0 = i. Let g be (6 - 3 - p) + 402. Round g to the nearest one
|
{
"pile_set_name": "DM Mathematics"
}
|
ement from moymomhypoppohhmmphm.
128/1615
What is prob of picking 2 i when two letters picked without replacement from {k: 1, w: 2, z: 7, i: 10}?
9/38
Calculate prob of picking 2 u and 2 d when four letters picked without replacement from {x: 3, d: 4, u: 4}.
6/55
Two letters picked without replacement from ovlvvorrlllvttn. Give prob of picking 1 n and 1 o.
2/105
What is prob of picking 3 r and 1 b when four letters picked without replacement from rrrbbbrrbbrrrrrr?
165/364
Two letters picked without replacement from {t: 1, h: 3, i: 7, u: 3}. Give prob of picking 1 i and 1 h.
3/13
Calculate prob of picking 1 y and 3 a when four letters picked without replacement from ayaayyyaayyy.
14/99
Two letters picked without replacement from {i: 2, c: 3, a: 4, m: 4, u: 1}. Give prob of picking 2 a.
6/91
What is prob of picking 1 r and 1 j when two letters picked without replacement from ujtutrvb?
1/28
What is prob of picking 3 y when three letters picked without replacement from {p: 2, y: 5}?
2/7
Two letters picked without replacement from {j: 2, a: 1, r: 1, o: 1}. Give prob of picking 1 r and 1 o.
1/10
What is prob of picking 1 z and 1 e when two letters picked without replacement from sssssszssse?
1/55
What is prob of picking 1 w and 1 f when two letters picked without replacement from wowwowywwgogf?
1/13
Two letters picked without replacement from {p: 3, z: 4, s: 2, m: 6, a: 1}. Give prob of picking 2 s.
1/120
Four letters picked without replacement from {m: 3, t: 3, f: 2, q: 1, z: 4, k: 4}. What is prob of picking 1 z and 3 t?
1/595
What is prob of picking 2 t, 1 g, and 1 y when four letters picked without replacement from {y: 2, g: 1, t: 2}?
2/5
Two letters picked without replacement from {b: 5, c: 9}. Give prob of picking 1 c and 1 b.
45/91
Calculate prob of picking 1 a and 2 y when three letters picked without replacement from vypppnvpvnavypvpnau.
2/969
What is prob of picking 1 m, 2 x, and 1 c when four letters picked without replacement from {q: 1, m: 2, v: 2, c: 1, x: 2, y: 1}?
1/63
What is prob of picking 1 f, 2 b, and 1 d when four letters picked without replacement from hfbfdpbt?
1/35
Calculate prob of picking 1 e, 1 y, and 1 w when three letters picked without replacement from {y: 1, w: 4, m: 2, e: 2, v: 2, u: 1}.
2/55
Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {o: 15, l: 4}.
20/57
Four letters picked without replacement from {j: 1, n: 1, f: 1, i: 1, v: 1}. Give prob of picking 1 i, 1 n, 1 v, and 1 f.
1/5
What is prob of picking 1 s and 2 e when three letters picked without replacement from eeessese?
15/28
What is prob of picking 1 o and 1 j when two letters picked without replacement from {o: 1, b: 5, j: 3, d: 1}?
1/15
Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, c: 2}.
1/6
Two letters picked without replacement from rctcctt. What is prob of picking 1 t and 1 c?
3/7
What is prob of picking 3 g when three letters picked without replacement from {l: 2, d: 3, g: 5, m: 5}?
2/91
Calculate prob of picking 2 i when two letters picked without replacement from {q: 3, i: 6, d: 5, p: 1, h: 2}.
15/136
Four letters picked without replacement from {g: 2, y: 6, j: 1, w: 2, i: 1}. What is prob of picking 2 w, 1 y, and 1 i?
2/165
Three letters picked without replacement from {i: 7, e: 1, s: 1}. What is prob of picking 1 e and 2 i?
1/4
Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {i: 4, v: 3, d: 1}.
3/28
Three letters picked without replacement from zrrlaghz. Give prob of picking 1 a, 1 r, and 1 l.
1/28
Four letters picked without replacement from lppupppggpuu. What is prob of picking 3 u and 1 g?
2/495
What is prob of picking 2 e when two letters picked without replacement from mssessemsmmss?
1/78
Two letters picked without replacement from {c: 2, o: 1, m: 7}. Give prob of picking 1 m and 1 c.
14/45
Four letters picked without replacement from xxpqkpxkpxkkx. Give prob of picking 1 q and 3 p.
1/715
Three letters picked without replacement from {v: 8, o: 4, p: 2, z: 5}. What is prob of picking 1 z, 1 v, and 1 o?
160/969
Four letters picked without replacement from eaeaeeeeeeaeeee. What is prob of picking 4 e?
33/91
Four letters picked without replacement from wwwwwwwwwwwwwtwwwt. What is prob of picking 2 t and 2 w?
2/51
Three letters picked without replacement from uuuuugugugugugggggg. What is prob of picking 1 g and 2 u?
120/323
Four letters picked without replacement from ksskysnknsn. What is prob of picking 3 n and 1 k?
1/110
Two letters picked without replacement from {s: 2, c: 1, o: 1, u: 1}. Give prob of picking 1 c and 1 u.
1/10
Three letters picked without replacement from {r: 1, e: 3, v: 3}. Give prob of picking 1 r, 1 e, and 1 v.
9/35
Three letters picked without replacement from xvvvvzvfxvzvnvfvvvv. What is prob of picking 1 f and 2 z?
2/969
What is prob of picking 1 b and 2 f when three letters picked without replacement from fmpmpifmbmmmfffmpmi?
10/969
Calculate prob of picking 2 f when two letters picked without replacement from {l: 5, f: 13}.
26/51
Two letters picked without replacement from ddtxnfsndddtdsssx. What is prob of picking 1 t and 1 f?
1/68
Two letters picked without replacement from eea. Give prob of picking 2 e.
1/3
Calculate prob of picking 1 b and 2 i when three letters picked without replacement from {i: 2, b: 3}.
3/10
Calculate prob of picking 2 t and 1 e when three letters picked without replacement from tteetett.
15/28
Four letters picked without replacement from pnnppn. What is prob of picking 1 n and 3 p?
1/5
What is prob of picking 1 n, 1 r, 1 l, and 1 w when four letters picked without replacement from {l: 2, n: 1, w: 3, d: 6, r: 2, b: 5}?
1/323
Two letters picked without replacement from dcccicidcccc. Give prob of picking 2 c.
14/33
Four letters picked without replacement from icigitgggcuu. What is prob of picking 2 g and 2 u?
2/165
Calculate prob of picking 1 f and 2 v when three letters picked without replacement from {f: 1, e: 14, v: 5}.
1/114
What is prob of picking 2 e, 1 m, and 1 y when four letters picked without replacement from {s: 6, y: 4, m: 3, e: 2}?
4/455
Calculate prob of picking 2 v when two letters picked without replacement from qaaaavqqvaqaa.
1/78
Calculate prob of picking 1 q, 1 n, and 2 x when four letters picked without replacement from duudqqqdqqxxxudndx.
1/102
Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {j: 5, t: 7, z: 1, u: 4, c: 1, y: 1}.
28/171
Three letters picked without replacement from {u:
|
{
"pile_set_name": "DM Mathematics"
}
|
8.5268
235 * -104526
-24563610
399 * -31668
-12635532
Work out 809488.76 * -0.5.
-404744.38
Calculate 16.5374*-4.
-66.1496
Product of -753 and -251.44.
189334.32
Calculate 29003*-12859.
-372949577
-0.12*-1801203.3
216144.396
Multiply 8 and -2008160.
-16065280
Product of -0.2 and -47341312.
9468262.4
-0.1*153671693
-15367169.3
4.41 * -77.2
-340.452
-23440696*2
-46881392
49*684459
33538491
Multiply -0.026814 and 726.
-19.466964
Product of -1655 and -355246.
587932130
What is 8.7 times -0.393372?
-3.4223364
What is -106 times 61716?
-6541896
Work out 0.3 * -0.08177307.
-0.024531921
What is the product of 0.395 and 1023608?
404325.16
-24776.4714 times -2
49552.9428
-0.044 * -5039505
221738.22
Calculate 0.05*-5388.83.
-269.4415
Work out -476078.1 * 1.5.
-714117.15
-0.4*-31.84539
12.738156
Multiply 0.081101 and 2507.
203.320207
Work out -0.44 * 42625.81.
-18755.3564
Multiply -20549.031 and 0.12.
-2465.88372
Multiply -649372712 and -0.5.
324686356
Product of -6080545 and 1.
-6080545
-0.22 times 204194
-44922.68
What is 86.4 times -1.52042?
-131.364288
-14.8*42814
-633647.2
Multiply -0.025 and 0.66431.
-0.01660775
Work out 522 * 102931.
53729982
What is -127603.9 times -29?
3700513.1
-0.23*-459125
105598.75
175717304 times 5
878586520
Calculate -62.9*360354.
-22666266.6
Product of 0.791115 and 4.
3.16446
What is the product of -11.44 and -20.98?
240.0112
Product of -8.709 and -0.6.
5.2254
Multiply 0.078228 and -1921.
-150.275988
What is -28.7 times -51.629?
1481.7523
Calculate -346*-11069.
3829874
What is the product of 2.88 and -31849.21?
-91725.7248
What is -235 times 295201?
-69372235
Product of -0.2 and 4278024.1.
-855604.82
-0.745 times 521
-388.145
Product of -13315.908 and -0.4.
5326.3632
What is 5 times 2.09628?
10.4814
Multiply 5.44923 and -2.
-10.89846
Product of -630320.8 and -0.5.
315160.4
646.77 times 0.386
249.65322
Multiply 0.1 and -38017775.
-3801777.5
What is the product of -924 and -0.053131?
49.093044
0.002 * 403.12
0.80624
What is the product of 5406897 and -5?
-27034485
Product of 5 and 36056614.
180283070
What is 0.2 times 0.04266071?
0.008532142
-59688.99 * -1.07
63867.2193
-185 * 47926
-8866310
Product of -8 and 244171.
-1953368
-0.0124*7480
-92.752
0.03 * 94073.34
2822.2002
What is the product of -6.26 and 11661.87?
-73003.3062
0.0700928 times -0.2
-0.01401856
0.4 * 2085706
834282.4
-0.8 times -1096161.2
876928.96
Work out 24.11 * -31234.
-753051.74
Product of -0.04371493 and -3.8.
0.166116734
252854*10.4
2629681.6
What is the product of -2.87 and -471?
1351.77
What is 130.826 times -1.6?
-209.3216
Product of 68 and -389754.
-26503272
Product of 135 and 25669.
3465315
What is 4 times 36894.03?
147576.12
What is -194.343 times 14.5?
-2817.9735
What is -0.27995 times -3127?
875.40365
Calculate -192490*774.
-148987260
Multiply 0.4 and -17.443964.
-6.9775856
What is the product of 4416 and 895.6?
3954969.6
Calculate -83.3*26.152.
-2178.4616
What is the product of 0.71 and -152528?
-108294.88
Calculate -1.66*-78393.
130132.38
What is 5 times 182726832?
913634160
Work out 68.8 * 0.10893.
7.494384
Multiply 5792 and 1202.
6961984
5544800 times -87
-482397600
Multiply 23531.4 and -1.37.
-32238.018
-0.0008 times -0.0360306
0.00002882448
3 * -11.0504516
-33.1513548
Multiply -9.4 and -667.64.
6275.816
Calculate -1*-60910567.
60910567
-1.1 times 7722626.3
-8494888.93
30198*3553.5
107308593
Product of 69.97424 and 0.
0
What is 13772006 times 8?
110176048
-0.3 times -4.42017
1.326051
What is 16 times 26175364?
418805824
What is 13933 times -12.3147?
-171580.7151
Work out -0.05 * 152736857.
-7636842.85
5*-94975118
-474875590
631*43338.6
27346656.6
-1086 times -0.3608
391.8288
Product of -1373 and -442334.
607324582
6.2905854 times 0
0
Work out 3 * 5169896.
15509688
0.2*11.88862
2.377724
2.88 times -1405.1
-4046.688
Calculate 2*1545.7.
3091.4
What is -14 times -816.16271?
11426.27794
-3309 * 1870.1
-6188160.9
Calculate 52458*-0.0525.
-2754.045
Product of -4873240 and -6.
29239440
-6*11915347
-71492082
What is 554850 times 0.53?
294070.5
What is the product of -1088.45 and 92.9?
-101117.005
What is 24 times -13126922?
-315046128
Multiply -15 and -45395.
680925
-1*32527777
-32527777
Calculate -22*3830.
-84260
Multiply 382284539 and 0.4.
152913815.6
What is -3862 times -82.745?
319561.19
Calculate 0.057*-10505.
-598.785
-0.382045 times 0.0336
-0.0128367
|
{
"pile_set_name": "DM Mathematics"
}
|
*c + 3*p - 133 for c.
-5
Solve j + 115 + 35 = -77*b, -4*j + 416 + 378 - 768 = -5*b for b.
-2
Solve 27*u + 76 = 4*c, -c - 43 + 113 = 2*u + 51 for c.
19
Solve 2422308 - 2422093 = -5*p + 5*k, -175 = 4*p - 3*k for p.
-46
Solve 12*p + 20 = 14*p - 7*m + 10*m, 3*m = 2*p - 8 for p.
7
Solve -2*z - 10*b + 491 - 954 = -491, -3*z + 22 = -5*b for z.
9
Solve -t + 27*a = 407, 2*t - 7*t + 63 = t - 0*t + 5*a for t.
-2
Solve 6*g + 3*n - 15 = 0, -2*g + 141980*n - 141976*n = 0 for g.
2
Solve 30*q - 76 = 26*q - 5*l, -4*q + 68 = -q + l for q.
24
Solve 9*j + 40 = 4*q, -521*q + 2*j = -524*q - 5 for q.
1
Solve -2*z = 5*p - 94, -2*p + 141 - 28 = 3*z + 71 for z.
2
Solve 0 = y - g + 2, 420338*g - 420336*g = -y - y + 8 for y.
1
Solve -2*j - 4*c = 1182718 - 1182646, 4*j - c = 0 for j.
-4
Solve 5*d - 33 = h, -117088*d = -3*h - 117093*d + 4 - 3 for h.
-8
Solve -2*k - 24 = -2*m, -149173*k = -149170*k - m + 36 for k.
-12
Solve 0 = -8*h - 5*s + 96, -732 = -2*h + 3*s - 810 for h.
-3
Solve -4*p = p + 24*i - 29*i - 0 - 5, 30*i = -15*p + 60 for p.
2
Solve -5*c = -10*t - 101 + 26, 4*c - 188 = 25*t - 39 + 64 for t.
-9
Solve 41 = -4*q + 3*i + 62, -35*q + 5*i + 305 = 3*i for q.
9
Solve -646*h = -224*h + g - 1265, -2*h + 0*g = -2*g - 8 for h.
3
Solve 3*j + 3*f - 21 = 0, 405*j = 406*j + 2*f - 12 for j.
2
Solve -3*k + 7*l - 4*l + 10 = -20, -3*k - 3*l = -48 for k.
13
Solve -m - 59882976 = 4*x - 59882945, 0 = -25*x + m - 56 for x.
-3
Solve 4*d = -l - 17, -4*l = -231*d + 235*d + 20 for d.
-4
Solve 8167*b = m + 8163*b + 17, -2*m + 2*b = 16 for m.
-5
Solve 5471 - 2737 = 3*u - y + 2732, 10*u = 5*y for u.
2
Solve -3*s + 4*s = z - 2, 8*z = 7*s - z - 0*z + 14 for s.
-2
Solve 2*r - 7 - 17 = 4*c + c + 3*r + 27, -2*c - 96 = 13*r for c.
-9
Solve 2*g = q - 3, -9*q - 7*q + 19*q - 17 = 4*g for q.
11
Solve -3*r + 42 = -24*r, 4*r = 6*m + r for m.
-1
Solve z + n - 741590 = -741584, -12*n = -4*z - 152 for z.
-5
Solve 4730*k - 4733*k - 62 = 2*a, 0 = a - 5*k - 86 for a.
-4
Solve -72 = -2*o + 59*f - 63*f, 3*o - 16*f = -266 for o.
2
Solve 3*b = -9*p - 60, -395 + 423 = 7*b - 3*p for b.
1
Solve 0 = -5*y - 9*k + 95, -5*y - 9*y + y + 3*k = -18*y + 35 for y.
1
Solve 5*s + 6*u = -62, -12 = 49105*s - 49103*s - 4*u for s.
-10
Solve -7*n = 2*m - 0*n + 4*n + 92, -4*m = 3*n + 138 - 106 for m.
-2
Solve 24*v - 81*v - 2*z - z = -9, -3*z = -4*v - 0 - 9 for v.
0
Solve 2*c + 124 = 3*v - 3*c + 42, -120 = -2*v + 8*c for v.
4
Solve 79*v - 5*y + 75 = 85*v, 4*v - 30 = -2*y for v.
0
Solve 24*h - 21*h - 16*d = -87, 3*h - 4*d = 1 - 16 for h.
3
Solve -c + 3*c - 6*n + 2*n = -70, -131*c + 4*n - 790 = -113*c for c.
-45
Solve -4*u - 60 = 28*x, -x = -2*u + 7*u - 2*x + 28 + 47 for u.
-15
Solve 0 = 28*p + 3*g + 261, -618447*p - 4*g - 39 = -618444*p for p.
-9
Solve -56*o + 35 = 5*n - 65*o + 4*o, 5*o - 30 = -8*n for n.
5
Solve -17236*u + 17241*u - 18 = 2*v, 0 = -u - 2*v + 6 for u.
4
Solve 4*r = 18*d - 9*d - 242, 5*d - 10 = 2*r + 124 for r.
-2
Solve -18151*o = -18149*o - 4*l + 14, 5*l = -5*o + 10 for o.
-1
Solve 41504*k - 41501*k = 2*r + 14 + 19, 0*r + 39 = -r + 4*k for r.
-3
Solve -6*h + 82*s - 51 = -5*h - 0*h + 90*s, -2*h - 18 = 2*s for h.
-3
Solve 25*r - 4*u - 282 = 11*r - 6, 64 = 3*r + 4*u for r.
20
Solve -565*z + 566*z + 5 = 2*u, -5*u = 5*z + 40 for z.
-7
Solve 3*i + d + 0 + 2 = 0, -12717*i + 4*d - 2 = -12719*i for i.
-1
Solve 4*i + 98 = 3*f, 5*i - 1 = 2*f - 120 for f.
2
Solve -4295 = 4*u + h - 4422, -3*u + 51 = -14*h for u.
31
Solve 0 = 5*c + 4*d - 6*d + 87, 3*c + 21*d + 77 = 23*d for c.
-5
Solve -3*i - 18*c - 28 = -55, -5*i + 4*c = -45 for i.
9
Solve -3*w = -4*k - 0*w - 0 - 2, -2126*k + 4*w - 72 = -2086*k for k.
-2
Solve -4*g + 32*n = -248, -5*n - 53 = 122638051*g - 122638054*g for g.
6
Solve -5*p + 4*q = -57, -4*p + 30 = 60655*q - 60657*q
|
{
"pile_set_name": "DM Mathematics"
}
|
om cppcipapcmiapc?
2/3003
Calculate prob of sequence vse when three letters picked without replacement from {y: 1, d: 1, i: 1, e: 2, v: 1, s: 2}.
1/84
Calculate prob of sequence up when two letters picked without replacement from {u: 2, p: 9, g: 2}.
3/26
Two letters picked without replacement from {s: 8, d: 2}. Give prob of sequence sd.
8/45
Calculate prob of sequence tqp when three letters picked without replacement from {m: 2, t: 2, b: 3, y: 2, q: 2, p: 1}.
1/330
What is prob of sequence zc when two letters picked without replacement from kyzcsykx?
1/56
Two letters picked without replacement from ujuurwuk. What is prob of sequence kw?
1/56
What is prob of sequence raz when three letters picked without replacement from {r: 2, a: 1, c: 2, v: 1, z: 1}?
1/105
Four letters picked without replacement from qaajxqlxxxaxaaapp. Give prob of sequence qlpx.
1/2856
Calculate prob of sequence qvv when three letters picked without replacement from qvqqvjvqqjvqqqqqqjjq.
2/95
Three letters picked without replacement from {z: 13, p: 5}. Give prob of sequence zzp.
65/408
Four letters picked without replacement from tbpcitltippppbp. What is prob of sequence cptb?
1/910
Three letters picked without replacement from {n: 1, l: 4, j: 2, t: 2, a: 8, z: 2}. What is prob of sequence zan?
8/2907
Four letters picked without replacement from iuvuufifiikis. Give prob of sequence vfsu.
1/2860
Two letters picked without replacement from srvvvrrqvrl. What is prob of sequence ql?
1/110
What is prob of sequence jjjb when four letters picked without replacement from tjtljjltbbjttbtjljt?
5/1292
Two letters picked without replacement from {a: 2, j: 7, h: 3, l: 3, k: 4}. What is prob of sequence ja?
7/171
Four letters picked without replacement from {s: 2, f: 3, z: 8, i: 1, x: 5}. What is prob of sequence zxxz?
35/2907
What is prob of sequence gb when two letters picked without replacement from gbjggddbddhtghb?
2/35
Four letters picked without replacement from {y: 5, x: 3, s: 3, f: 2}. Give prob of sequence fxsx.
3/1430
Two letters picked without replacement from {n: 1, h: 2, g: 3, i: 3, s: 1}. Give prob of sequence hn.
1/45
Calculate prob of sequence gxoo when four letters picked without replacement from xgvpxxox.
0
Calculate prob of sequence aphx when four letters picked without replacement from {a: 3, c: 9, x: 2, p: 1, h: 4}.
1/3876
Calculate prob of sequence xnsx when four letters picked without replacement from nrkrxxkksssrrrssrss.
7/46512
Calculate prob of sequence wwb when three letters picked without replacement from kbwwkbwbbwk.
8/165
What is prob of sequence in when two letters picked without replacement from iwnnwiiwbmn?
9/110
Three letters picked without replacement from {v: 2, k: 4, j: 2, l: 1}. Give prob of sequence jvv.
1/126
Calculate prob of sequence qu when two letters picked without replacement from quqttutqtnuuttq.
8/105
Calculate prob of sequence asa when three letters picked without replacement from {s: 3, a: 2}.
1/10
What is prob of sequence fj when two letters picked without replacement from juuwwfjtwulw?
1/66
Two letters picked without replacement from {h: 1, f: 1, n: 1, d: 1, c: 1}. What is prob of sequence hd?
1/20
Calculate prob of sequence nddc when four letters picked without replacement from nddxnndgndndddndcnn.
14/2907
What is prob of sequence pj when two letters picked without replacement from {j: 3, p: 3}?
3/10
Calculate prob of sequence oo when two letters picked without replacement from {l: 5, j: 1, b: 3, f: 1, y: 2, o: 3}.
1/35
Three letters picked without replacement from {m: 1, l: 1, w: 4, t: 2}. What is prob of sequence wtt?
1/42
What is prob of sequence tc when two letters picked without replacement from {p: 1, r: 1, t: 4, c: 3, e: 4, h: 1}?
6/91
What is prob of sequence pp when two letters picked without replacement from yyyyjyyyyypvwywp?
1/120
Two letters picked without replacement from {i: 8, l: 5, k: 5}. Give prob of sequence li.
20/153
Two letters picked without replacement from tjayjeefjtyy. Give prob of sequence jy.
3/44
What is prob of sequence vx when two letters picked without replacement from vbbugvbxb?
1/36
Four letters picked without replacement from {b: 14, y: 5}. Give prob of sequence bbyb.
455/3876
Calculate prob of sequence knz when three letters picked without replacement from bbbcnckznxcxx.
1/858
Three letters picked without replacement from {a: 1, w: 1, o: 1, f: 1, k: 1, e: 2}. What is prob of sequence wae?
1/105
Two letters picked without replacement from {z: 4, p: 2, d: 2, y: 1, l: 3}. Give prob of sequence pl.
1/22
Three letters picked without replacement from {t: 3, m: 3, x: 2, s: 9, o: 2, z: 1}. What is prob of sequence tos?
3/380
Two letters picked without replacement from uoouwuowuuzwue. Give prob of sequence ue.
3/91
Four letters picked without replacement from {m: 9, v: 4, a: 4}. What is prob of sequence avam?
9/1190
Three letters picked without replacement from {s: 7, w: 3, v: 2}. Give prob of sequence ssv.
7/110
Two letters picked without replacement from zbzzzbbzbbzbwbzzzbz. What is prob of sequence zz?
5/19
Two letters picked without replacement from zwwlzwcllwclwmdww. What is prob of sequence cc?
1/136
Three letters picked without replacement from {t: 2, h: 2, f: 4, e: 8}. What is prob of sequence ehf?
2/105
Three letters picked without replacement from mmmmwwdmwdmm. Give prob of sequence mmm.
7/44
Calculate prob of sequence qs when two letters picked without replacement from qwyseqi.
1/21
What is prob of sequence kk when two letters picked without replacement from {i: 2, y: 1, x: 2, z: 5, c: 2, k: 5}?
5/68
Four letters picked without replacement from {c: 4, i: 1, r: 3, m: 2}. Give prob of sequence rrrm.
1/420
Calculate prob of sequence rr when two letters picked without replacement from rrccrcrrccrrcc.
3/13
Four letters picked without replacement from {f: 4, n: 1, b: 2, x: 7}. Give prob of sequence nbbx.
1/1716
Calculate prob of sequence rr when two letters picked without replacement from {q: 6, r: 3, l: 6}.
1/35
What is prob of sequence cl when two letters picked without replacement from cddddlfdddcdcdcccc?
7/306
Two letters picked without replacement from tqqkqkqu. What is prob of sequence tk?
1/28
Two letters picked without replacement from {k: 1, x: 5, q: 3, c: 1, m: 2}. Give prob of sequence mm.
1/66
What is prob of sequence xqv when three letters picked without replacement from qqqrrqrqrkrqvxr?
1/455
Four letters picked without replacement from {p: 4, g: 6, m: 7}. What is prob of sequence gmgg?
1/68
Calculate prob of sequence ik when two letters picked without replacement from iikkkkkkk
|
{
"pile_set_name": "DM Mathematics"
}
|
l be (1*3)/((-9)/(-9)). Suppose 0 = -4*u + 3*u + l. What is the highest common factor of u and 9?
3
Let c(s) be the second derivative of 1/20*s**5 - 1/12*s**4 + 0 + 2*s + 5/2*s**2 - 1/6*s**3. Let j be c(4). What is the highest common divisor of j and 7?
7
Let z(w) = w - 1. Let d be z(8). Calculate the highest common factor of d and 77.
7
Suppose -3*k + 2 = 6*o - o, 3*k + 2*o - 8 = 0. What is the highest common factor of 36 and k?
4
Let i(h) = 2*h**3 - 3*h**2 - 3*h - 3. Let o be i(4). Calculate the highest common factor of o and 26.
13
Suppose -5*b = -0*b - 4*p - 13, 2*p = -5*b + 1. Let j = 10 - 22. Let u = j + 23. What is the greatest common factor of u and b?
1
Let y = 29 + -8. What is the highest common factor of 147 and y?
21
Let t be (25/15)/((-2)/(-438)). Suppose -5*y = -260 - t. What is the highest common divisor of 50 and y?
25
Let v(f) = -4*f**2 - 9*f + 15. Let a(q) = -3*q**2 - 6*q + 10. Let m(p) = -7*a(p) + 5*v(p). Let k be m(5). What is the greatest common divisor of 3 and k?
3
Suppose 162 = -3*u + 63. Let r be (-126)/u + (-4)/(-22). Calculate the highest common factor of r and 32.
4
Let o = -24 + -3. Let z = o + 71. Calculate the highest common divisor of 11 and z.
11
Let p be (-1 + 3/2)*0. Suppose p*a - 9 = -a. Calculate the greatest common divisor of 3 and a.
3
Let t = 3 + -3. Suppose t = z - 6*z. Let g(x) = x**3 + x**2 + x + 7. Let b be g(z). Calculate the greatest common divisor of 7 and b.
7
Suppose 35 = 5*w - 0. Suppose 3*b = -9*b + 252. What is the highest common divisor of w and b?
7
Let p = 512 + -248. Let b be ((-14)/6)/((-4)/p). Let j be 86/6 - 1/3. Calculate the greatest common divisor of b and j.
14
Suppose -5*m = -4*t + 39, 0*m + m = -t + 3. Calculate the highest common divisor of t and 12.
6
Let u be 96/120*25/2. What is the highest common divisor of u and 50?
10
Suppose 5*w - 40 = 5*c, 0 = c - 0*c - 2. Suppose 3*m - 2*n = 100, -n + 2*n + 125 = 4*m. What is the highest common factor of w and m?
10
Let p = 12 + -7. Let s(f) = 4*f + 1. Let q be s(p). Suppose 3*r + 8 = -2*o + 26, 3*o + 3*r - q = 0. Calculate the highest common divisor of o and 3.
3
Let q be -25 - (1 - 0) - -2. Let i = 36 + q. Calculate the greatest common factor of i and 96.
12
Suppose -5*g - 5 + 40 = 0. Calculate the greatest common factor of 14 and g.
7
Let l(z) = -46*z + 4. Let w be l(-1). Calculate the highest common divisor of 400 and w.
50
Suppose 2*g + k - 20 = 0, k = -3*k. Calculate the greatest common factor of 15 and g.
5
Suppose -3*p = 2*l - 0*l - 5, -5*p + l + 17 = 0. Suppose p*k = 2*x - 4, 3*k - 21 = -x - 2*x. What is the greatest common factor of k and 2?
2
Let u = -80 - -88. Calculate the greatest common divisor of u and 8.
8
Let f be 1*3/((-12)/(-308)). Calculate the greatest common factor of 11 and f.
11
Let w(u) = -u**3 + 6*u**2 + 2*u - 5. Let f be w(6). Suppose 0*m = m + 5*i - 3, 0 = -3*m - i + 79. Calculate the greatest common factor of f and m.
7
Let j be (-2)/(-4)*0/2. Suppose -5*f + f + 20 = j. Let x be 50/f - (0 - 0). Calculate the greatest common factor of 5 and x.
5
Let w(c) = c**2 - 7*c + 6. Let n be w(6). Suppose n = 4*t - 21 - 39. What is the greatest common divisor of t and 120?
15
Suppose 2*f = 5*l - 21, 0*f - 2 = -f. Calculate the highest common factor of l and 15.
5
Let f be 0 + 0 + 97 + 2. Let v(x) = -5*x - 8. Let a(b) = -9*b - 15. Let j(l) = -4*a(l) + 7*v(l). Let z be j(7). What is the highest common factor of z and f?
11
Let r(d) = -d**3 - 5*d**2 - 4*d. Let m be r(-4). Let c be m + (-1 - -62 - 1). Let u be (15/4)/((-7)/(-28)). What is the greatest common factor of c and u?
15
Suppose 4*k = 4*r - 20, 5*k - 5 = r + 2. Let p = 57 - 33. What is the highest common factor of p and r?
8
Let o = -21 + 36. Let g be (-2 + -1 - 1) + 2. Let l be 1*2 + (-26)/g. What is the greatest common divisor of o and l?
15
Let y = 44 - 10. Let u = y + -7. Calculate the highest common divisor of 18 and u.
9
Suppose -5*g - 17 - 23 = 0. Let a(p) = -10*p - 2. Let b be a(g). Let o = b - 50. What is the greatest common factor of o and 7?
7
Let o = -17 - -33. What is the highest common divisor of 176 and o?
16
Let r(j) = 12*j - 1. Let v = 1 - -1. Let c be r(v). What is the highest common factor of c and 161?
23
Let k(m) = m**3 + 7*m**2 - 2*m - 1. Let p be k(-4). Suppose 4*x - 21 = -3*n, 5*n + 3*x = x + 49. Calculate the greatest common factor of p and n.
11
Suppose 0 = -4*s - 2*y + 172, 3*s - 4*y - 135 = 16. Calculate the greatest common factor of s and 30.
15
Suppose 0 = 7*k - 2*k + 45. Let s = 128 + k. What is the highest common divisor of s and 17?
17
Suppose -3*n = -3*w - 123, n - 4*w + w = 43. Suppose -9*c + 4*c = -n. Calculate the greatest common factor of c and 24.
8
Let d be 2 + (27 - 4/(-1)). Calculate the highest common factor of 6 and d.
3
Let y = -6 - -18. Calculate the greatest common factor of 6 and y.
6
Let h be (3/(-2))/(2/(-4)). Suppose -56 + 14 = -h*x. What is the greatest common divisor of x and 98?
14
Let j be ((-28)/5)/(8/(-20)). Suppose s - 30 + 2 = 0. Calculate the highest common factor of s and j.
14
Let a(d) = d**3 + d + 5. Let t be a(0). Let m be (-10)/t - (-3)/(-1). Let q be ((-8)/m)/((-4)/(-230)). What is the highest common divisor of q and 23?
23
Suppose -4*b + 858 = -2*c, b - 645 = -2*b + c. Suppose -s - 23 - 54
|
{
"pile_set_name": "DM Mathematics"
}
|
n*n/n**1))**(-3/10)/(((n*n*n**6*n)/n)/n**1))/(n**3/(n*n*n**(-3/10)/n))**(-1/12) assuming n is positive.
n**(-817/120)
Simplify ((j**(-2))**(-14))**(1/14)*(j*(j*(j/j**(-4)*j)/j*j)/j*j*j**(-4/7)*j)/(j**(2/5)*j**(-2/9)) assuming j is positive.
j**(3229/315)
Simplify l**(-1)/l**(2/3)*l**4/((l**7*l*l*l)/l*l)*(l**(-2)/(l/l**(-2/9)))**(1/21) assuming l is positive.
l**(-1478/189)
Simplify (y**(2/5)*y/(y*y/((y**(-5)/y)/y))*y*y*y*y**2*y*y*(y/y**(1/2))/y)/((y**(1/3))**(1/7))**(-5/4) assuming y is positive.
y**(-437/420)
Simplify ((b**(-4/9)*b)/b**(-6))/(b**(-4)*b*b**(2/23))*(b/b**(-2))**(-13)*((b/(b*(b*b*b**1)/b))/b*b)**(3/34) assuming b is positive.
b**(-104542/3519)
Simplify ((f/(f*f*f**1*f)*f)**10/(f*f**1*f**0*f))/((f**0)**11*(f**(2/7))**(-36)) assuming f is positive.
f**(-89/7)
Simplify (c/c**(-26))**(-2/75)*(c/c**(1/13))/c*c**(-6/17) assuming c is positive.
c**(-6353/5525)
Simplify ((a*a*a/a**2)**(-20)/(a**(-2/39)*a**(-4/3)))**(2/15) assuming a is positive.
a**(-484/195)
Simplify ((i**(2/7))**35)**(-2/43)*(i/(i**(-3/11)*i*i)*i*i/(i**(-7)*i)*i)**(2/11) assuming i is positive.
i**(5406/5203)
Simplify (x*x**(2/9))**(-10/3)*(x*x*x/(x*x*x**(2/5)*x)*x*x)**(-26)*(x/x**(2/3))**(-48)/(x**(-1/11)/x**(-9)) assuming x is positive.
x**(-104816/1485)
Simplify ((l**12*l*l**(14/9)/l*l*l)**(-3/14))**(-1/49) assuming l is positive.
l**(10/147)
Simplify (i**26)**(-32/5)*i**(13/5)/(((i*i**(10/13))/i)/i) assuming i is positive.
i**(-10632/65)
Simplify (((g/g**(-3/2)*g**3)**(5/9))**(-6/11))**(-6/5) assuming g is positive.
g**2
Simplify ((g**(-3/4))**(-2/23)*g**(-9)/g*g**(-23/2)/g)**(-2/79) assuming g is positive.
g**(1032/1817)
Simplify f*f**(-3/7)*f**2*((f**(-1/4)*f)/f)**(-35)*(f*f**(-1/2)*f*f*f*f)**42/(f*f**4*f*f**(-5)) assuming f is positive.
f**(5581/28)
Simplify ((((i**5/i)/i*i*i)/(i*i**(2/5)))/(i**3/i**(-2/7)))/(i**5/i*i*i*i**(-3/5))**(39/5) assuming i is positive.
i**(-7316/175)
Simplify ((i**12*i)/(((i*i**12*i)/i*i)/i)*i*i**(3/4)*i**(-1/2)*i)**(-1/6) assuming i is positive.
i**(-3/8)
Simplify ((k**(1/3))**(-49))**(-13/5)/((k**(-3)*k*(k/(k**(-1/2)/k)*k)/k)/((k**(-1)/k*k)/k)**(-9)) assuming k is positive.
k**(1799/30)
Simplify ((((t**2)**(12/19))**(2/17))**25)**(-49) assuming t is positive.
t**(-58800/323)
Simplify ((a**(-2/17)/a*a*a**(-44)*a)/((a/(a*a/a**(-5/3)))/(a*a**23)))**(26/5) assuming a is positive.
a**(-21814/255)
Simplify ((x**(2/11)/x)**32/(x*x**(2/23))**(-3/10))**18 assuming x is positive.
x**(-117747/253)
Simplify ((k/((k/(k*k**(-1/3)))/k))**(8/5))**(-50)/(((k/(((k*k**2)/k)/k))/k)**8/(k**(-2/7))**29) assuming k is positive.
k**(-2806/21)
Simplify ((b**(-1/8)*b)**(4/17)/(b/(b*b**(3/20)/b*b)*b)**(-1/51))**(-8) assuming b is positive.
b**(-454/255)
Simplify ((t*t**(-2/49))/(t*(t/t**(-8/13))/t))/(t**(3/5)*t*t**(-4/5)) assuming t is positive.
t**(-4638/3185)
Simplify (((a**(1/5)*a**(-1/4))/(a*a*a**5*a*a*(a/(a/a**(-2/15)))/a))**(-43))**(1/23) assuming a is positive.
a**(4085/276)
Simplify ((a*(a*a*a**(1/8)*a*a)/a*a/(a/(((a/(a**(1/4)/a))/a)/a*a)))**(1/36))**(-37) assuming a is positive.
a**(-481/96)
Simplify (k**(-2)*k**5/k)/(k**7*k*k*k**(2/9)*k)*((k/(k/(k/(k*k**(-2/11)))))**(8/5))**38 assuming k is positive.
k**(1402/495)
Simplify ((p**(1/2))**(-3/19)*(p/((p**(-3)*p)/p))/(p**(-9)/p))/((p*p*p**(-2/7)/p*p)**(-8/7)*(p/(p*p/p**(-2/5)))**(-34/5)) assuming p is positive.
p**(296069/46550)
Simplify ((h/h**7)**(7/2)/((h/((h/h**11)/h*h)*h)/h)**(-9/5))**(1/16) assuming h is positive.
h**(-3/40)
Simplify (((g**(1/5)*g)/(g**(-3)*g)*(g/(g/(g*g*g**10)))/g*g*(g/(g/((g*g*g**(-4))/g)))/g)**(-2/29))**28 assuming g is positive.
g**(-3136/145)
Simplify (z/z**(1/2)*z**(-3/2)*((z**(-2/5)*z)/z)**(-9))/(z**5/z**2*(z**1)**(-2/17)) assuming z is positive.
z**(-24/85)
Simplify ((z*z**1)**30*(z**(1/4)/z)**(-34))/(z**(-6/5)/(z*z*z**(-2/9)*z))**(-2/5) assuming z is positive.
z**(37759/450)
Simplify (h*h**(-9/5))**(3/2)/(h**(-26)*h**(-20/7)/h*h) assuming h is positive.
h**(968/35)
Simplify (c**(-10)/c)**(-24)/((c*(c**13*c)/c)/c**(2/107)) assuming c is positive.
c**(26752/107)
Simplify (((b*b/(b/(b**(-12/7)/b)))/b**(-1))/(b**(2/25)*b*b**(-11)/b))**(3/25) assuming b is positive.
b**(5358/4375)
Simplify (x**(2/9))**33/((x*x**(-6))/x**(2/21))*(x/(x/x**1))**(-1/51)*x/x**(-1)*(x**(1/3)*x*x)/x assuming x is positive.
x**(5620/357)
Simplify (y**(2/5))**0*(y*y*y*y/(y/y**(1/4)))**27*(y*y**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
+ z - 6*z + 3 = 0. Is 0 < y?
False
Let b = 1.3 - 1.23. Which is greater: 1 or b?
1
Let s = 2.4 + -0.4. Is s less than -12?
False
Let m = -58/15 - -4. Let i(n) = -n**3 + 4*n**2 - 2*n - 3. Let a be i(3). Which is bigger: a or m?
m
Let x = -106 + 42. Which is greater: -0.2 or x?
-0.2
Suppose -5*d - 4*z - 10 = 0, 0 = 2*d + 4*z + 3 + 1. Let n be (0/(0 - 2))/d. Is n less than 0?
False
Suppose 0 = -2*x + 3 + 3. Let n be (-3)/x*(5 - 3). Which is smaller: -0.2 or n?
n
Let d be -2*1 + 1628/(-126). Let y = -106/7 - d. Is y less than -2?
False
Suppose -5*y + 28 = 3. Does 19/5 = y?
False
Let g be 0/(2 - (4 + 1)). Let n = g + 0. Suppose -5*r = -n*h - h + 23, 3*h - 5 = -r. Is -5/2 < r?
False
Let p = 0.046 + -0.276. Let w = p + 0.46. Let d = w + 0.07. Which is smaller: 2/5 or d?
d
Let b = 0.06 - 0.09. Let s = -3.97 + b. Which is greater: s or 1?
1
Let g be 1/5 - (-384)/30. Which is greater: 14 or g?
14
Let q be (-91)/2 - (-1)/2. Let s = -48657/5 + 9686. Let c = q - s. Do c and -1 have different values?
True
Let z(v) = v**2 - 12*v + 17. Let x be z(9). Is x at least as big as -8?
False
Let d = -267/241 + 101698/75915. Let k = d - 2/63. Suppose 12 = 4*y - 0*y, 2*q + 2*y = 8. Which is greater: q or k?
q
Let h = 8/147 - -1088/1617. Which is bigger: h or 1?
1
Let x = 0.38 + -0.08. Let l = 1.3 - x. Which is smaller: -0.2 or l?
-0.2
Suppose -h + 2 = -5. Which is smaller: h or 8?
h
Let x = 0.1 + 0. Let a = 0.1 + x. Let t = 2 - 2.1. Which is smaller: t or a?
t
Let o(d) = -d - 13. Let g be o(-6). Is g less than or equal to 2/3?
True
Let k = 33 + -46. Which is smaller: 2 or k?
k
Let m = 2.9 - -10.1. Let h = m - 14. Which is smaller: 3/7 or h?
h
Let y(w) = -w - 12. Suppose -3*g = 2*p + 62, -4*g + 23 = -6*g - 5*p. Let x = 11 + g. Let l be y(x). Which is greater: -2/15 or l?
l
Let h = -1784/11 + 162. Suppose -4*f = -2 - 2. Which is bigger: h or f?
f
Let g(h) = h**3 + h**2 - 5*h - 4. Let a be g(-3). Let t be (-8)/(-28) - (-4)/a. Which is bigger: 0 or t?
0
Let z = -2872/3 + 12983/15. Let d = z + 91. Which is smaller: d or -1?
-1
Let i(t) = -t**2 - 3*t - 2. Let q be i(-4). Let u(g) = -g**2 - 6*g - 7. Suppose -8 = -2*d, -2*o - 3*o = -5*d + 50. Let v be u(o). Which is bigger: v or q?
q
Let w = 44.4 - -4.6. Let l = 46.1 - w. Let g = l + 3. Are 1 and g non-equal?
True
Let i(l) = -l + 12. Let u be i(8). Let r = -2 + 9. Let k = r + -4. Which is smaller: u or k?
k
Let m(i) = i**2 + i - 1. Let y be m(0). Is -2 at least as big as y?
False
Suppose -2*k = -2 + 6, -4*v - k = -70. Let g = v + -19. Does g = -1/29?
False
Let v = -16.8 + 16.4. Which is smaller: -23 or v?
-23
Let l(f) = -f**2 + 6*f + 10. Let g be l(7). Suppose -g*p + 1 = -2. Which is bigger: 9/5 or p?
9/5
Let j(t) = t + 8. Let q be j(-13). Which is smaller: q or 0?
q
Let a = -1.93 - -2.1. Let n = a - 0.87. Let k = 6 - 5. Which is bigger: n or k?
k
Let b = -219/145 - -9/29. Are b and -2 non-equal?
True
Let r(c) = c**2 - 4*c - 4. Let j = 1 - -4. Let b be r(j). Is b greater than or equal to -1/11?
True
Let q = -6 + 6. Suppose -3*p - 3*w + 5 + 7 = q, -2*w + 9 = p. Which is greater: 2/5 or p?
2/5
Let x = 9 + 6. Which is smaller: x or 14?
14
Suppose -7*h = 4*m - 9*h + 6, -4*m = -h + 5. Let g be 29/(-148) + (-3)/(-12). Which is greater: m or g?
g
Let u = -22.2 + 23.2. Which is greater: u or -5?
u
Let n = -26 - -33. Is 7 less than or equal to n?
True
Let l be (1 - 1)/(-4)*1. Suppose l = z + 3*t + 13, 3*z + 0*t + 18 = -2*t. Is z less than or equal to -7?
False
Suppose -1 + 11 = 3*k - 4*u, -5*k + 5*u + 10 = 0. Is k >= 1?
False
Let l = 570 + -51301/90. Let k = 113/45 + l. Let s = 10 + -7. Does k = s?
False
Let t(i) = 5*i**2 - 4*i + 3. Let x be t(4). Let h = 123/2 - x. Let y = 5 + h. Is y equal to 0.1?
False
Suppose 15 = -3*h - 5*z, -z + 0*z + 3 = 0. Let r be ((-4)/h)/((-2)/(-10)). Suppose 2 + 2 = r*v. Is 2 < v?
False
Let s(q) = q**3 + 7*q**2 + 6*q + 5. Let y be s(-6). Suppose 0*l - y = 5*l. Which is greater: l or -3?
l
Let y(s) = -s**2 + s + 8. Let f be y(4). Is f at most as big as -19/4?
False
Let p be 5/(-3) + 3/(-9). Let c = p - -9/4. Which is smaller: c or 0?
0
Let w(j) = j + 3. Let f be w(-3). Let k = 4626/13 + -356. Which is bigger: f or k?
f
Let n(r) = r**2 + 6*r + 6. Let v be n(-5). Let g(x) = -x**2 - 4*x + 7. Suppose -3*t - 12 = 6. Let d be g(t). Is v at least d?
True
Let k be 87/27 + (-4)/18. Suppose 6*c = 4*c +
|
{
"pile_set_name": "DM Mathematics"
}
|
17
Which is greater: -2/3 or -7800?
-2/3
Is -2296 less than -2298?
False
Is 4 != -3.9?
True
Is 4038/257 not equal to 16?
True
Which is smaller: 7/1814 or 0?
0
Is 1743 > 19158/11?
True
Is -3.2747 less than or equal to 1?
True
Which is smaller: -1 or 71/2019?
-1
Which is bigger: 18/7507 or -1?
18/7507
Which is smaller: 3/33323 or 1?
3/33323
Do -659312 and -659315 have the same value?
False
Are -5011546 and -5011546 unequal?
False
Is 68533 equal to 68534?
False
Which is bigger: -4/3 or -27/40?
-27/40
Is -10.508 greater than or equal to -813?
True
Is -1063 less than -1042?
True
Is -9417 < -9409?
True
Which is smaller: 2 or 8888.3?
2
Which is greater: -10786 or -0.1?
-0.1
Is 10/36083 at least as big as 0?
True
Which is bigger: -548 or -69?
-69
Which is smaller: -8 or -135/16?
-135/16
Is -2512 equal to -22598/9?
False
Are -35380 and -35390 equal?
False
Which is smaller: 3023 or 2864?
2864
Is -4102 bigger than -4103?
True
Which is smaller: -1 or -4/4299?
-1
Which is bigger: 434997 or 1/3?
434997
Is -2747029/3 at least as big as -915675?
False
Is 1 not equal to 2/4425639?
True
Are -12 and 196652 nonequal?
True
Which is greater: -38477 or -38476?
-38476
Which is bigger: -2/1721397 or 1?
1
Which is smaller: -116/41191 or -1?
-1
Which is smaller: -278/5 or 0.061?
-278/5
Which is smaller: -43926 or -43928?
-43928
Which is greater: 0 or -4/757555?
0
Which is smaller: -2 or 203477?
-2
Which is smaller: -22182 or -22188?
-22188
Is -13207 less than -13224?
False
Is 293728 greater than or equal to 293729?
False
Is 53/12653 smaller than 1?
True
Which is greater: 463878 or 463879?
463879
Which is smaller: 326 or 464?
326
Which is greater: -42532/15 or -2834?
-2834
Which is greater: 0 or -24/148169?
0
Which is greater: -0.1 or -339388?
-0.1
Which is smaller: 5.34 or -6/19?
-6/19
Which is smaller: -18906 or -18877?
-18906
Which is smaller: 27003/5 or 5401?
27003/5
Which is smaller: -3 or -8.05?
-8.05
Are 613 and 1841/3 unequal?
True
Which is smaller: 0.1 or 113023?
0.1
Which is bigger: -154/1219 or -1?
-154/1219
Is -17032 < -17032?
False
Which is bigger: -2844261/4 or -711064?
-711064
Which is bigger: -1 or -49/113003?
-49/113003
Is 30 smaller than -31131?
False
Is 218 smaller than 256?
True
Which is bigger: -822951 or -822952?
-822951
Which is smaller: 727555/4 or 181888?
181888
Which is smaller: -8905 or -8902?
-8905
Is 1 greater than or equal to 17/76470?
True
Which is greater: -8/101 or -15?
-8/101
Is 1 >= 1/154800?
True
Are -170 and 2138/9 nonequal?
True
Which is bigger: 0.462 or -1.08?
0.462
Which is smaller: 15484 or 15485?
15484
Which is bigger: 4 or 2333/832?
4
Is 1 at most as big as 3/55727?
False
Which is bigger: 0 or -94/605?
0
Is 19/17275 > 8?
False
Which is smaller: -4.7 or -0.04?
-4.7
Is -0.0197 >= -0.104?
True
Does -9734311 = -9734310?
False
Is -20 at most as big as 210/53?
True
Which is smaller: -371585 or -371588?
-371588
Do -625 and -67 have the same value?
False
Which is bigger: 363394/5 or 72680?
72680
Is 21/2 <= 2/13729?
False
Is 2371 not equal to 2363?
True
Is -839/200 <= -3?
True
Are -1/898241 and -1 equal?
False
Is 19014 < 19012?
False
Is -97843 less than -97844?
False
Are 1246 and 1244 unequal?
True
Is -2/346205 greater than -1?
True
Which is smaller: 168 or 22?
22
Do -70111/5 and -14022 have the same value?
False
Which is smaller: -20901 or -20906?
-20906
Is 28 smaller than -40903?
False
Are 1264 and -3.4 nonequal?
True
Which is smaller: 14350 or 14349?
14349
Which is smaller: 0 or 2/6443?
0
Which is bigger: -1.9 or -86368?
-1.9
Are -610178 and -610176 equal?
False
Is -1995/46 at least -43?
False
Are 11 and -20407 non-equal?
True
Is 592953 equal to 592955?
False
Which is greater: -11309 or -11304?
-11304
Which is greater: 3708 or 9?
3708
Is 2/561607 != -1?
True
Which is bigger: -3999831 or -3999833?
-3999831
Which is smaller: -278 or -344?
-344
Is 81 at least 3299/41?
True
Is -941876 greater than or equal to -941873?
False
Which is greater: 1.174674 or 0.1?
1.174674
Which is smaller: -3221/954 or -2?
-3221/954
Which is bigger: 0.10566 or 1?
1
Is 25165 >= 25164?
True
Is 0 >= 2/79?
False
Which is smaller: 0 or -3/91892?
-3/91892
Which is smaller: 121213 or 121214?
121213
Is -251/1845 at most 0?
True
Are 0.1 and -92159.1 unequal?
True
Is 0.59027 bigger than 15?
False
Is -10205/194 < -53?
False
Is -4723 at most -3439?
True
Which is greater: 1 or -2/26581?
1
Do 147041 and 147042 have different values?
True
Which is smaller: 7 or 2067/347?
2067/347
Is 882 at least 1229?
False
Which is bigger: 60041 or 60035?
60041
Is -507 greater than or equal to 33.1?
False
Is 72 less than -42?
False
Is -7642 less than or equal to -7642?
True
Which is smaller: 10874 or 76128/7?
10874
Which is bigger: 6844 or 6842?
6844
Are -72826 and -72804 non-equal?
True
Which is smaller: -782 or -2459?
-2459
Which is smaller: 102559 or 1?
1
Which is smaller: -332 or -26236/79?
-26236/79
Which is smaller: -4099 or -4093?
-4099
Which is smaller: -7 or -671894?
-671894
Is 1 smaller than 113981?
True
Are
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 198*h**3 + 0*h**2 + 1104.
198*h**3 - 3*h**2 - 10
Collect the terms in -152987*p + 306007*p - 153038*p.
-18*p
Collect the terms in 26446*p**2 - 13374*p**2 - 13045*p**2.
27*p**2
Collect the terms in 36325 - 343*v**2 - 72650 + 167*v**2 + 36325 + 174*v**2.
-2*v**2
Collect the terms in 22*g**2 - 57 + 6*g**3 - 29*g**2 + 8*g**2 - 36*g**2 - 45*g**2.
6*g**3 - 80*g**2 - 57
Collect the terms in -2063*z**3 - 2877 + 2797 + 9714*z**3.
7651*z**3 - 80
Collect the terms in -750*d**2 - 279 + 476 - 197 - 2*d**3 + 750*d**2.
-2*d**3
Collect the terms in 4472*s - 11 - 4461*s - 18 + 35 - 5 - 2.
11*s - 1
Collect the terms in 11*p - 22*p + 9*p - 11*p**2 + 397*p**3 + p.
397*p**3 - 11*p**2 - p
Collect the terms in 0 + 1973*t - 1405*t - 5 - 1401*t + 838*t + 5.
5*t
Collect the terms in 128*j + 118*j + 118*j + 82*j - 554*j + 118*j.
10*j
Collect the terms in -6884805*q**3 - 6884863*q**3 + 13769631*q**3.
-37*q**3
Collect the terms in -138*f - 131*f - 138*f - 140*f - 135*f - 142*f + 826*f.
2*f
Collect the terms in -487918*v - 13 - 487869*v + 975805*v.
18*v - 13
Collect the terms in -7*v**2 + 154 - 7*v**2 + 60*v + 13*v**2 + 606.
-v**2 + 60*v + 760
Collect the terms in -50769 + 50769 - 26210*m**3.
-26210*m**3
Collect the terms in 29285*r**3 - 6 - 23286*r**3 + 6.
5999*r**3
Collect the terms in 2274*j - 458*j - 456*j - 452*j - 456*j - 451*j.
j
Collect the terms in 14070403*v**3 + 779708*v**3 - 2402581*v**3.
12447530*v**3
Collect the terms in -2*f - 1694 + 3453 - 1754.
-2*f + 5
Collect the terms in 3*n - 950*n**3 - 1325*n**3 - n.
-2275*n**3 + 2*n
Collect the terms in 290 + 295 + 357 - 351*j - 1231 + 289.
-351*j
Collect the terms in -271 - 63768*h - 63757*h - 28 + 127523*h.
-2*h - 299
Collect the terms in -165 + 46*c - 154 - 46*c + 5*c**2 + 319.
5*c**2
Collect the terms in 1408*v + 0 - 284*v - 1154*v + 0.
-30*v
Collect the terms in -733*d + 51*d**2 + 245*d + 245*d - 259*d**2 + 243*d.
-208*d**2
Collect the terms in 0 - 28745*t + 57750*t - 2 - 1 - 28996*t.
9*t - 3
Collect the terms in -52*m**2 + 144802 - 144802 + 9*m**2 - 27*m**2.
-70*m**2
Collect the terms in 5420*g**2 + 2714*g**2 + 5624*g**2.
13758*g**2
Collect the terms in w - 2*w + 8*w - 5*w.
2*w
Collect the terms in -454467*i + 454467*i + 14834*i**2 - 14820*i**2.
14*i**2
Collect the terms in 4 + 34988*d**3 + 26817*d**3 - 4 + 13969*d**3.
75774*d**3
Collect the terms in 0*t**3 + 7026*t**2 - 3569*t**2 - 2*t**3 - 3847*t**2 + 4*t.
-2*t**3 - 390*t**2 + 4*t
Collect the terms in k**3 + 39*k**2 - 90*k**2 + 155 + 123 + k**3 + 49*k**2.
2*k**3 - 2*k**2 + 278
Collect the terms in 3*y + 2*y**2 - 70209815 - 3*y + 70209815.
2*y**2
Collect the terms in -190*l**3 + 193*l**3 + 116843*l - 58545*l - 58298*l.
3*l**3
Collect the terms in -31022*m**3 - 3837*m + 62050*m**3 + 3837*m - 31024*m**3.
4*m**3
Collect the terms in 7927*q**2 + 7830*q**2 - 15762*q**2.
-5*q**2
Collect the terms in -2583911917296 - 43*g**2 + 2583911917296.
-43*g**2
Collect the terms in -402 + 1216 - 402 + 3124*n**2 - 412.
3124*n**2
Collect the terms in -31828 - 2*f**2 + 31834 - 6*f - 139*f.
-2*f**2 - 145*f + 6
Collect the terms in -5*n**2 - n**2 - 1120922*n**3 + 6*n**2.
-1120922*n**3
Collect the terms in 73*b + 193*b**3 - 764 - 73*b - 190*b**3 + 42.
3*b**3 - 722
Collect the terms in 1351 - 2*l + 1342 + 1388 + 1332 + 1371 + 1382 - 8246.
-2*l - 80
Collect the terms in -25*k + 6*k**3 + 88*k**2 + 20*k + 4 - 3.
6*k**3 + 88*k**2 - 5*k + 1
Collect the terms in -90*w + 253 + 46*w - 526 + 227 + 42*w.
-2*w - 46
Collect the terms in 28653*o + 28650*o - 3 - 57303*o - 5*o**2 + 3.
-5*o**2
Collect the terms in 601 + 122*r - 231*r + 92*r.
-17*r + 601
Collect the terms in 121040*c**2 - 121040*c**2 - 1024*c**3.
-1024*c**3
Collect the terms in 116*h + 40*h + 48*h + 11*h**2 - 2.
11*h**2 + 204*h - 2
Collect the terms in 127*k**3 + 414*k**3 - 133*k**3 - 7412*k + 7412*k.
408*k**3
Collect the terms in -955*t**2 + 2419*t**2 - 1909*t**2.
-445*t**2
Collect the terms in 33 + 36 - 8*b + 2 + 10 - 15.
-8*b + 66
Collect the terms in -1025*w**3 + w + 5235*w**3 + 1103*w**2 - 1 - 1103*w**2.
4210*w**3 + w - 1
Collect the terms in -7*b - 621399 - 577272 - 56382.
-7*b - 1255053
Collect the terms in -16058*b + 3 + 104*b - 3 - 900*b.
-16854*b
Collect the terms in 316 + 66*t - 193*t - 316 + 54*t + 64*t.
-9*t
Collect the terms in 5503*g**2 + 62317 - 1667*g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
156*g**2 + 7*g + 37. Let y(s) = -s**2 - s - 2. Let k(f) = -2*i(f) - 14*y(f). Differentiate k(u) with respect to u.
-596*u
Let d(j) = -12*j**4 - 4*j**3 + 3*j - 21. Let z(c) = -11*c**4 - 5*c**3 + 4*c - 21. Let a(n) = 3*d(n) - 2*z(n). What is the second derivative of a(m) wrt m?
-168*m**2 - 12*m
Find the third derivative of 22*p**6 - 24 + 20 - 139*p**6 + 0*p**2 - 3*p**2 wrt p.
-14040*p**3
Let g(n) be the first derivative of 3*n**2 - 26*n + 8. Differentiate g(r) with respect to r.
6
What is the third derivative of 32*u**2 - 22 - 31*u**2 - 4 - 94*u**5 wrt u?
-5640*u**2
Let p(z) be the second derivative of -3*z**5/20 - z**4/2 - 164*z**3/3 + 186*z. Find the second derivative of p(f) wrt f.
-18*f - 12
Let p(a) be the first derivative of -a**7/35 - 5*a**4/12 + 7*a**2/2 + 4. Let t(x) be the second derivative of p(x). Find the second derivative of t(d) wrt d.
-72*d**2
Let i be (6/8)/(45/240). What is the second derivative of -8*v**3 + 7*v + 8*v**3 + i*v**5 + 5*v**5 wrt v?
180*v**3
Find the first derivative of -5*t**4 - 66*t - 118 + 44*t**2 + t**4 + 53*t**2 - 97*t**2 wrt t.
-16*t**3 - 66
Let y(u) be the first derivative of 29*u**6/6 - 29*u**2/2 + 72. What is the second derivative of y(s) wrt s?
580*s**3
What is the derivative of 22*w**4 + 29*w**4 - 5*w**4 - 105 - 5*w**4 wrt w?
164*w**3
What is the first derivative of 12*j + 50 + 12 + 0*j - 2*j wrt j?
10
Let u(q) = -q**2 + q + 1. Let y(w) = w**4 - 81*w**2 - 6*w - 336. Let b(g) = -6*u(g) - y(g). Differentiate b(k) with respect to k.
-4*k**3 + 174*k
Let b(s) be the second derivative of 0 + 1/14*s**7 + 12*s + 7*s**3 + 0*s**6 + 0*s**5 + 0*s**2 + 0*s**4. Find the second derivative of b(l) wrt l.
60*l**3
Let m be 1 + 3 - (1 + 0). Let t(x) = x**2 - 2*x + 3. Let o be t(3). What is the derivative of o*s**4 + 7 - 106*s**m + 106*s**3 wrt s?
24*s**3
Suppose -6*g - 26 = 10. Let n be (-104)/(-12)*(-9)/g. What is the second derivative of 3*i**3 - 8 - 8*i + 8 - n*i**3 wrt i?
-60*i
What is the third derivative of 11 - 40*v**3 + 158*v**3 - 10*v**2 - 10 + 77*v**3 wrt v?
1170
What is the second derivative of 83*h + 225*h**5 - 357*h**4 + 708*h**4 + 31*h - 350*h**4 wrt h?
4500*h**3 + 12*h**2
Let d(g) be the third derivative of 0*g**6 + 1/8*g**4 - 14*g**2 + 0*g + 0*g**7 - 19/336*g**8 + 0 + 0*g**3 + 0*g**5. What is the second derivative of d(n) wrt n?
-380*n**3
Let n be (-1 - (0 - 1)) + -1. Let f = n + 5. Find the second derivative of -5*t**2 + 0*t**2 + 5*t + 0*t + f*t**2 wrt t.
-2
Let n(v) = -4*v**3 - 49*v**2 - 12*v + 225. Let r(l) = 2*l**3 + 48*l**2 + 9*l - 224. Let y(i) = -3*n(i) - 4*r(i). What is the derivative of y(a) wrt a?
12*a**2 - 90*a
Let x(u) be the first derivative of 88*u**3/3 - u**2 - 22*u + 121. What is the second derivative of x(b) wrt b?
176
Let z(t) be the first derivative of 221*t**4/4 + 203*t + 391. Differentiate z(i) with respect to i.
663*i**2
Let q(s) be the second derivative of 149*s**5/20 + 9*s**3 + s**2 - 172*s - 2. What is the second derivative of q(i) wrt i?
894*i
Let a = -175 + 175. Let q(i) be the second derivative of -2*i**2 + 0*i**3 + 1/5*i**5 + 2*i + 0 + a*i**4. Find the first derivative of q(d) wrt d.
12*d**2
Let j(q) = -155*q - 251. Let l(w) = 155*w + 249. Let y(h) = -4*j(h) - 3*l(h). What is the first derivative of y(u) wrt u?
155
What is the second derivative of 1 - 207*w**2 + 84*w**2 - 29*w + 1 - 28*w wrt w?
-246
Let k(q) be the third derivative of 149*q**7/210 - 113*q**3/6 + 75*q**2 + 2*q. What is the derivative of k(y) wrt y?
596*y**3
Let h(j) be the third derivative of 0*j**7 + 0*j + 31/24*j**4 + 0*j**6 + 0*j**5 + 0 - 38*j**2 + 0*j**3 + 37/336*j**8. Find the second derivative of h(a) wrt a.
740*a**3
What is the derivative of 246*i + 89*i + 2169 - 2447 + 21*i wrt i?
356
What is the derivative of 73*d + 39*d + 67 + 151*d + 879 - 153 wrt d?
263
What is the first derivative of -8*j**4 - 960*j**3 + 960*j**3 - 67 wrt j?
-32*j**3
Let x(m) be the first derivative of 0*m**3 - 2/5*m**5 - 18 + 10*m + 0*m**2 + 0*m**4. Differentiate x(u) wrt u.
-8*u**3
Suppose -5*y - b = -45, 4*y - 2*b = -4*b + 42. What is the derivative of 3*z**2 - 3*z**2 - 13*z**3 + 24 - y wrt z?
-39*z**2
What is the second derivative of -103*y**3 + 747*y - 137*y + 9 - 9 wrt y?
-618*y
Let f(k) = 2*k + 1. Suppose 9*a = 5*a - 4. Let c(b) = -14*b + 48. Let l(j) = a*c(j) - 4*f(j). What is the first derivative of l(x) wrt x?
6
Let v(n) = 2*n**3 - n. Let u(z) = -2*z**4 + 12*z**3 - 22*z**2 - 7*z - 51. Let s(w) = -u(w) +
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(325)).
-1
Simplify (sqrt(48) + (sqrt(48) - sqrt(5808)))**2 + -1.
3887
Simplify ((-4*2*sqrt(99))/((sqrt(9) + sqrt(36)/sqrt(4))*2))**2.
44
Simplify (2 + sqrt(12)/sqrt(4) + sqrt(192) + sqrt(192)*2)**2.
100*sqrt(3) + 1879
Simplify ((2*sqrt(136)*5)/sqrt(8))**2.
1700
Simplify ((sqrt(153)*1*6 - sqrt(153)) + sqrt(153))/(sqrt(729)*-2 + sqrt(729)).
-2*sqrt(17)/3
Simplify (sqrt(24)/sqrt(16))/sqrt(2).
sqrt(3)/2
Simplify (sqrt(500)*2 + -3)**2 + (sqrt(500) - (1 + sqrt(500)))**2 + sqrt(500) + 1.
-110*sqrt(5) + 2011
Simplify (sqrt(132) - (sqrt(132)*1 + sqrt(132) + sqrt(132)))/sqrt(12) - sqrt(11) - (4 + sqrt(176)).
-7*sqrt(11) - 4
Simplify (sqrt(75)*-1)**2 + -6*(sqrt(9)/sqrt(3))**2.
57
Simplify 4*(4*(sqrt(2448) + -1 + sqrt(2448)))**2*-3.
-1880256 + 9216*sqrt(17)
Simplify sqrt(68)/sqrt(4) + -3 - -3*(sqrt(34)/sqrt(2))**2.
sqrt(17) + 48
Simplify 2*((sqrt(33) - (sqrt(132) + sqrt(33)))/sqrt(3) - -1*sqrt(11)*4)**2.
88
Simplify -1 + (sqrt(252)*-1*2)**2.
1007
Simplify -5 + (1 + sqrt(171))**2 + 0.
6*sqrt(19) + 167
Simplify ((3 + (sqrt(72) - 3*sqrt(72)) - sqrt(72))*2)**2.
-432*sqrt(2) + 2628
Simplify (sqrt(1377) + sqrt(1377) + 2 + 1 + sqrt(1377))**2.
162*sqrt(17) + 12402
Simplify (sqrt(768)/sqrt(12))/(sqrt(2) + -2*-2*sqrt(2)).
4*sqrt(2)/5
Simplify -5 + (sqrt(1872) + -3)**2 + 4.
-72*sqrt(13) + 1880
Simplify ((-3*-2*sqrt(60))/sqrt(2352))**2.
45/49
Simplify sqrt(40)/(sqrt(1152) - (sqrt(1152)*-3 - sqrt(1152))) + 3.
sqrt(5)/60 + 3
Simplify 5*(sqrt(68) + -5).
-25 + 10*sqrt(17)
Simplify 1*sqrt(125)*-3 + 4 + sqrt(125) + -1.
-10*sqrt(5) + 3
Simplify ((sqrt(495)*1 - sqrt(55))/(sqrt(66)/(sqrt(6)*-2)))**2*-6.
-480
Simplify (sqrt(7) + sqrt(14)/sqrt(2) + 0 - sqrt(7)*1*5)*-2.
6*sqrt(7)
Simplify (-1*sqrt(99)*-3)/((sqrt(54)*2)/sqrt(6) - sqrt(9)).
3*sqrt(11)
Simplify (-3*-2*sqrt(119) + sqrt(119))/(4*-2*sqrt(7)).
-7*sqrt(17)/8
Simplify (sqrt(17) + 2 + -4)*4.
-8 + 4*sqrt(17)
Simplify 4 + sqrt(891) + 0.
4 + 9*sqrt(11)
Simplify (sqrt(2057) + -3 + 1 + sqrt(2057))**2 + (sqrt(2057)*2)**2*-1.
-88*sqrt(17) + 4
Simplify -5*(sqrt(2448) + 2)*2.
-120*sqrt(17) - 20
Simplify (3*(sqrt(432) + (sqrt(432) - ((sqrt(432)*-2 - sqrt(432)) + sqrt(432)))))**2.
62208
Simplify ((-1*sqrt(84) - sqrt(84))*-1 - sqrt(84))/(sqrt(300)*-3).
-sqrt(7)/15
Simplify (5*(-1*sqrt(110) + sqrt(110)) + sqrt(110))/(sqrt(160) - (sqrt(160) + (sqrt(160) - (sqrt(160) + (sqrt(160) - sqrt(160)*-3))) - sqrt(160))).
sqrt(11)/20
Simplify sqrt(208) + (sqrt(208) + -1)*3 + -2 + (-1*sqrt(208))**2.
16*sqrt(13) + 203
Simplify 2 + sqrt(288) + -2 + -1.
-1 + 12*sqrt(2)
Simplify -6*((sqrt(612) + sqrt(612)*3 + sqrt(612))**2 + sqrt(17) + sqrt(17)).
-91800 - 12*sqrt(17)
Simplify sqrt(200)/sqrt(4)*-3.
-15*sqrt(2)
Simplify (3*(-2*(sqrt(228) - -1*sqrt(228)))/(-5*(sqrt(12) + sqrt(48)) + sqrt(12)))**2.
684/49
Simplify (2 + sqrt(1573) - sqrt(1573))**2 + 3.
7
Simplify ((sqrt(168)/sqrt(4))/sqrt(6) - (sqrt(448) + 0)**2)*-4.
-4*sqrt(7) + 1792
Simplify sqrt(22)/(-6*sqrt(8)).
-sqrt(11)/12
Simplify (2 + (sqrt(30)/(sqrt(24)/sqrt(4)))**2)*-6.
-42
Simplify (((sqrt(7) + 1 + sqrt(7))*4 + 3 + -4)*-6)**2.
1728*sqrt(7) + 16452
Simplify sqrt(8) + -4 + sqrt(2) - (sqrt(2) - -2*sqrt(2))*1.
-4
Simplify (((sqrt(5) - (((sqrt(5) - sqrt(5)*-1) + -1 - sqrt(5)) + sqrt(5))) + sqrt(5))*-2)**2.
4
Simplify 3 + 1 + sqrt(3) + sqrt(3) + 2 + (sqrt(3) - sqrt(144)/sqrt(3))**2.
2*sqrt(3) + 33
Simplify -2 + sqrt(1053)*-2 - (sqrt(117)/sqrt(81) + 0).
-55*sqrt(13)/3 - 2
Simplify (4 + -3 + sqrt(26)/sqrt(8))*-1.
-sqrt(13)/2 - 1
Simplify (sqrt(272) + -5)*-5.
-20*sqrt(17) + 25
Simplify (-4 + ((sqrt(168)/sqrt(4))/sqrt(6) - (sqrt(28) + 4)))**2.
16*sqrt(7) + 71
Simplify (2*sqrt(204))/(sqrt(27)*-1).
-4*sqrt(17)/3
Simplify (-1*-1*sqrt(612))**2 + sqrt(612)*-2*3.
-36*sqrt(17) + 612
Simplify -5 + 3 + sqrt(2) - (sqrt(2) - -4*sqrt(128)).
-32*sqrt(2) - 2
Simplify ((sqrt(3) + 2)*2)**2 - (1*sqrt(18))/sqrt(6).
15*sqrt(3) + 28
Simplify 5*5*sqrt(72)/sqrt(4).
75*sqrt(2)
Simplify sqrt(320) + (6*(sqrt(320) - (sqrt(320) + (sqrt(320)*3 - sqrt(320))))**2 - sqrt(320)).
7680
Simplify (sqrt(35)/sqrt(448) + 4)*5.
5*sqrt(5)/8 + 20
Simplify -1 + sqrt(17) + sqrt(272) + 4.
3 + 5*sqrt(17)
Simplify ((5*sqrt(196))/(1*sqrt(1008) + sqrt(1008)))**2.
175/144
Simplify ((sqrt(117) + -1 - sqrt(117)) + (2*sqrt(65))/sqrt(5))**2.
-4*sqrt(13) + 53
Simplify ((((sqrt(133) - sqrt(133)*2) + sqrt(133))*4)/(sqrt(700)*-2 - sqrt(7)))**2.
0
Simplify (-2*(sqrt(130)*-2 + sqrt(130) + sqrt(130)))/(sqrt(90) + sqrt(90)*2 + sqrt(90)).
0
Simplify (sqrt(720) + -2)**2 + (1 + sqrt(5))**2*3.
-42*sqrt(5) +
|
{
"pile_set_name": "DM Mathematics"
}
|
22*i**3 + 18*i**2 - 4 - 2*i - 10*i**p + 6*i**4 = 0. What is i?
-1/3, 1, 2
Let u(o) be the third derivative of o**7/6300 - o**6/600 + o**5/150 - o**4/24 + o**2. Let b(s) be the second derivative of u(s). Factor b(d).
2*(d - 2)*(d - 1)/5
Solve 0 + 4/9*w**2 + 8/9*w**3 - 4/9*w**4 - 8/9*w = 0 for w.
-1, 0, 1, 2
Let f(a) = a - 4. Let z be f(6). Factor 5*y**3 + 2*y**z + 12 + 8*y**2 - 2*y**3 - 19*y**2.
3*(y - 2)**2*(y + 1)
Let u(j) be the second derivative of j**7/21 - j**6/5 + j**5/10 + j**4/2 - 2*j**3/3 - 20*j. Let u(y) = 0. What is y?
-1, 0, 1, 2
Let 2/11*z**5 - 4/11*z**3 + 0*z**4 + 0*z**2 + 2/11*z + 0 = 0. What is z?
-1, 0, 1
Suppose -2*n + 1 = -m - 0*n, -2*m = 4*n - 38. Let c = m + -6. Factor u**c - 19*u**2 + u**4 + 19*u**2.
u**3*(u + 1)
Let a be (-81)/6*(-14)/105. Factor 3/5*g**5 + 12/5*g - 12/5*g**2 - a*g**3 + 0 + 6/5*g**4.
3*g*(g - 1)**2*(g + 2)**2/5
Let w(y) be the first derivative of 9*y**5/5 - 5*y**4 + 13*y**3/3 - y**2 - 20. Factor w(k).
k*(k - 1)**2*(9*k - 2)
Let i(x) = 10*x - 66. Let a be i(7). Factor 0*b + 3/4*b**5 + 0 - 3/4*b**2 + 3/4*b**a - 3/4*b**3.
3*b**2*(b - 1)*(b + 1)**2/4
Let c(h) be the third derivative of -h**5/120 + 5*h**4/96 - 3*h**2. Factor c(o).
-o*(2*o - 5)/4
Factor -4 + 5*a + 30*a**4 - 26*a**4 + 3*a - 2*a**3 - 6*a**3.
4*(a - 1)**3*(a + 1)
Let n(c) be the third derivative of c**8/168 - 2*c**7/105 + c**6/60 - 2*c**2. Suppose n(b) = 0. Calculate b.
0, 1
Find u such that 2/5*u**3 + 24/5*u**2 - 32/5 + 8/5*u - 2/5*u**4 = 0.
-2, 1, 4
Let j(f) be the first derivative of f**3/9 - 2*f**2/3 + 4*f/3 - 24. Suppose j(p) = 0. What is p?
2
Let q(t) be the first derivative of -2/15*t**3 + 2/5*t**2 + 2 - 2/5*t. Factor q(n).
-2*(n - 1)**2/5
Solve -36/5 - 13/5*j**2 + 42/5*j**3 - 9/5*j**4 - 84/5*j = 0.
-2/3, 3
Let u(o) = o**2 - 6*o - 7. Let b be u(7). Let s be b*(9/6 - 1). Determine x so that s*x**3 - 1/4*x**4 + 0*x + 1/4*x**2 + 0 = 0.
-1, 0, 1
Factor 0*o**4 + 0 - 1/3*o**3 + 0*o**2 + 0*o + 1/3*o**5.
o**3*(o - 1)*(o + 1)/3
Let g be (-16)/3 + (-4 - -6). Let i = -3 - g. Suppose i*o**2 + 0 + 1/3*o = 0. What is o?
-1, 0
Suppose 0*j + 4*j = 8. Suppose -9 = -y - p, 2*y - 1 = 2*p + 1. Factor j*i**y + 3*i - i + i**3 - 5*i**3.
2*i*(i - 1)**2*(i + 1)**2
Suppose -3*n - 162 = 27. Let x be ((-180)/n)/(2/7). Factor o**2 - o**3 + 10 - x.
-o**2*(o - 1)
Let r(x) = 6*x**5 - 3*x**4 + x**3. Let w(m) = -m**4 + m**3. Let v(j) = -r(j) + 5*w(j). Factor v(h).
-2*h**3*(h + 1)*(3*h - 2)
Let k = 21 + -21. Determine m so that 0 + 0*m**2 + 0*m + k*m**3 - 2/7*m**5 + 2/7*m**4 = 0.
0, 1
Let k(m) be the third derivative of 1/175*m**7 + m**2 + 0*m**4 + 0*m**3 + 1/300*m**6 + 0*m + 0*m**5 + 0. Let k(r) = 0. Calculate r.
-1/3, 0
Let w(h) = 6*h + 2*h**3 - 6*h**3 + 4*h - 5 - 2*h**2 - 4*h. Let k(z) = z**3 - z + 1. Let u(i) = 5*k(i) + w(i). Factor u(n).
n*(n - 1)**2
Let p = -163133/5 - -32731. Let c = p - 104. Solve -6/5*h + c - 8/5*h**2 = 0.
-1, 1/4
Let c = 4/35 - -27/70. Suppose 0*z**2 - 3/4*z + c + 1/4*z**3 = 0. Calculate z.
-2, 1
Factor -4/5*b**2 + 64/5 + 24/5*b.
-4*(b - 8)*(b + 2)/5
Let u(q) be the second derivative of -q**6/30 - 3*q**5/10 - 13*q**4/12 - 2*q**3 - 2*q**2 - q. Factor u(w).
-(w + 1)**2*(w + 2)**2
Let a be (2/3)/((-2)/(-6)). Determine b so that 2*b - 4 + 0*b**2 + 5*b - b - 2*b**a = 0.
1, 2
Let n(h) be the second derivative of -h**6/210 + h**5/140 + h**4/84 - h**3/42 - 4*h. Factor n(l).
-l*(l - 1)**2*(l + 1)/7
Let g(p) be the first derivative of p + 4 - 4/3*p**3 - 3/2*p**2. Solve g(l) = 0.
-1, 1/4
Let z(t) be the second derivative of 1/72*t**4 + 0 + 1/36*t**3 + 0*t**2 - t. Suppose z(g) = 0. What is g?
-1, 0
Suppose 0 = -2*q - 8 - 28. Let i be 4/q + 39/54. Solve -1/2*s**3 + 1/2*s**5 + 0 + 1/2*s**2 + 0*s - i*s**4 = 0 for s.
-1, 0, 1
Suppose -100 = -8*c - 17*c. Factor 1/5*p + 0*p**2 + 0 + 0*p**
|
{
"pile_set_name": "DM Mathematics"
}
|
he derivative of -2 - 7*z**p + 2*z**2 - 10 wrt z?
-10*z
What is the derivative of -150*d + 24 - 63 + 9*d - 70 - 41 wrt d?
-141
Let s(z) = z - 5. Let o be s(11). Let l = 21 - o. Find the third derivative of -4*w**2 + 6*w**2 + l*w**3 - 10*w**3 wrt w.
30
Let p(f) be the third derivative of -f**6/120 - 49*f**4/24 + 499*f**3/6 + 10*f**2 + 5*f. What is the derivative of p(x) wrt x?
-3*x**2 - 49
Let o(w) = 52*w - 104. Let r(l) = -l + 5. Let m(v) = o(v) + 6*r(v). Differentiate m(y) with respect to y.
46
Let t(z) = 5*z**4 + 12*z**2 + 9*z - 4. Let q(u) = -3*u**4 - u**2 - u + 1. Let a(j) = -4*q(j) - t(j). What is the third derivative of a(n) wrt n?
168*n
What is the second derivative of 129*w + 69*w**2 + 24*w - 115*w - w**3 - 412*w wrt w?
-6*w + 138
Let c(k) = -332*k**3 - 10*k**2 + 2*k - 735. Let s(g) = -1992*g**3 - 66*g**2 + 13*g - 4411. Let t(j) = 13*c(j) - 2*s(j). Find the third derivative of t(d) wrt d.
-1992
What is the second derivative of -83*a**3 + 780*a - 22*a**3 - 45*a**3 + 16*a**3 - 39*a**3 wrt a?
-1038*a
Let o(i) = -i**2 - 1. Suppose -23 = -3*q - 8. Let k(z) = -8*z**2 + 0 - 8 - 1. Let x(f) = q*o(f) - k(f). Differentiate x(d) wrt d.
6*d
Let g(w) be the first derivative of -10*w**4 + w**3 + 147*w**2 - 206. Find the second derivative of g(t) wrt t.
-240*t + 6
Differentiate 4690*g**4 - 4804*g**4 - 11*g + 11*g - 347 wrt g.
-456*g**3
Suppose -5*y - 3*p = -25, -3*p = -p. What is the third derivative of 61*q**y - 61*q**5 - 13*q**6 + 7*q**2 wrt q?
-1560*q**3
Let g(y) = y**3 - y**2 - 3*y. Let p(w) = 100*w**3 + 3*w**2 + 9*w + 620. Let n(o) = 3*g(o) + p(o). Find the first derivative of n(h) wrt h.
309*h**2
Suppose -5*j - 30 = -11*j. Find the second derivative of 9 + 12*u - 19*u**j - 30*u**5 - 10 + u wrt u.
-980*u**3
Let b(o) be the third derivative of -173*o**9/504 + o**5/10 - 5*o**4/24 - 346*o**2. What is the third derivative of b(y) wrt y?
-20760*y**3
Let v(m) be the first derivative of 7*m**3/3 + 33*m**2/2 - 17. Let y(l) = -7*l**2 - 34*l. Let t(q) = -3*v(q) - 2*y(q). Find the second derivative of t(c) wrt c.
-14
Suppose -3*h + 4*h - 2 = 0. Find the second derivative of -357 - 3*u + 357 - 10*u**h wrt u.
-20
Suppose 3*r = -9 + 18. Find the third derivative of -6*i**2 + i**2 - 28*i**3 - 7*i**r - 4*i**2 wrt i.
-210
Let g(p) = -419*p - 79. Let l(i) = 4*i + 2. Let k(b) = 2*g(b) - 2*l(b). Find the first derivative of k(y) wrt y.
-846
Let g(a) = -2*a + 15. Let r(n) = 5*n - 29. Let d(x) = -5*g(x) - 3*r(x). Find the first derivative of d(c) wrt c.
-5
Let f(c) be the first derivative of 5*c**6 + c**3/3 + 109*c**2/2 + 39. What is the second derivative of f(g) wrt g?
600*g**3 + 2
Suppose -9*p + 6*p = 2*p. Let a(y) be the second derivative of 0*y**3 - 4*y + 3/20*y**5 + 1/4*y**4 + 0*y**2 + p. Find the third derivative of a(m) wrt m.
18
Let q(y) be the first derivative of 2*y**3 + 7*y**2 - 12. Let v(u) = -6*u**2 - 14*u. Let d(x) = -2*q(x) - 3*v(x). What is the second derivative of d(m) wrt m?
12
Differentiate -351 - 951*f**4 - 426 + 40 + 90*f**4 wrt f.
-3444*f**3
Suppose -2*k - 2*j = -6*j, k = 5*j - 6. What is the second derivative of 4*m**k + 11*m - 2*m**4 - 16*m wrt m?
24*m**2
What is the third derivative of 31*f**4 - 4*f**4 + 13*f**4 + 3 + 37*f**4 - 2*f**2 + 3*f**4 wrt f?
1920*f
Let o(m) be the second derivative of 11*m**7/2520 - m**5/120 - m**4/12 + m. Let y(q) be the third derivative of o(q). What is the derivative of y(k) wrt k?
22*k
Let a(i) = 345*i**3 + 5*i**2 + 63*i. Let s(u) = -u**3 + 2*u**2 + 2*u. Let l(y) = -a(y) + 2*s(y). Find the third derivative of l(p) wrt p.
-2082
Let f(l) = 226*l**3 - 123*l**2 - 6. Let a(y) = 677*y**3 - 369*y**2 - 16. Let b(u) = 3*a(u) - 8*f(u). Find the third derivative of b(q) wrt q.
1338
What is the derivative of 56*p**3 + 9*p**3 - 2*p**2 + 184 + 47*p**3 - 163 wrt p?
336*p**2 - 4*p
Suppose -56*d = -51*d - 120. Find the second derivative of -24*y**4 + y**2 + d*y + 67*y**4 - y**2 wrt y.
516*y**2
Differentiate 421 - 4415*q + 2207*q + 2208*q + 5*q**4 + 335*q**4 with respect to q.
1360*q**3
Find the second derivative of 46*a**2 + 8*a + a - 17*a wrt a.
92
Let u(n) be the third derivative of -1/112*n**8 + 0*n**4 + 0*n**6 + 0*n**3 + 19*n**2 + 0 + 0*n**7 + 0*n + 1/15*n**5. What is the third derivative of u(m) wrt m?
-180*m**2
Suppose 0 = -5*p - 3*v - 56, 2*p + 3*v + 41 - 15 = 0. Let m be (-2)/p - 348/(-60). Find the second
|
{
"pile_set_name": "DM Mathematics"
}
|
be the third derivative of 0*w + 0*w**5 - 47/3*w**3 + 0 - 43/40*w**6 + 140*w**2 + 0*w**4. What is the derivative of i(y) wrt y?
-387*y**2
What is the third derivative of 1211*w**3 + 2149*w**2 + 28*w + 316*w**2 - 28*w wrt w?
7266
Suppose -12 = -3*i + y, -i + 1 = 3*y - 13. What is the third derivative of -254*q**3 - q**5 - q**i + 0*q**2 - 3 + 10*q**2 + 252*q**3 wrt q?
-120*q**2 - 12
Let h(l) be the second derivative of -232*l**5/5 + 351*l**2/2 - 32*l. Find the first derivative of h(y) wrt y.
-2784*y**2
Let k(r) be the second derivative of 0*r**3 + 0*r**4 + 0*r**5 + 87/2*r**2 - 194*r + 0 - 161/30*r**6. Find the first derivative of k(p) wrt p.
-644*p**3
Let m(i) be the third derivative of -61/60*i**6 + 0*i**4 - 28*i + 3*i**2 + 0 + 0*i**3 - 73/30*i**5. Find the third derivative of m(u) wrt u.
-732
Let k be -12 + 22 + -2 + 0 + -1. Find the third derivative of k*f**2 + 291 + 17*f**3 - 284 + 12*f**3 + 17*f**3 wrt f.
276
Let j(y) be the first derivative of 2182*y**3/3 - 3336*y**2 + 6114. Find the second derivative of j(v) wrt v.
4364
Let g(h) = 28*h**3 - 91*h**2 - 3417*h - 7. Let f(q) = 23*q**3 - 46*q**2 - 1709*q - 4. Let w(v) = -11*f(v) + 6*g(v). Find the second derivative of w(u) wrt u.
-510*u - 80
What is the second derivative of 1002*i**4 + 560*i**4 + 0*i + 315 + 4*i - 2*i**2 - 5*i + 3*i wrt i?
18744*i**2 - 4
Let w(s) = -27*s**3 - 10*s**2 + 1616*s + 10. Let h(d) = 14*d**3 + 5*d**2 - 809*d - 6. Let t(r) = -5*h(r) - 3*w(r). What is the second derivative of t(c) wrt c?
66*c + 10
Let j(k) = -k - 6. Let d be j(-10). Suppose 36*c - 5*l - 7 = 40*c, 0 = 5*c + 3*l - 1. What is the first derivative of 12 - 508*g**2 - d + 492*g**c wrt g?
-32*g
Let u(w) = -w + 19. Let b be u(24). Let g(a) = a**2 + 9*a + 21. Let k be g(b). What is the first derivative of 2*m + k - 32*m + 11 wrt m?
-30
Let r(o) = -o**3 - 4*o**2 - o + 10. Let x be r(-3). Let y(m) = 6*m - 4. Let d be y(1). Find the third derivative of 14*u**x + 8*u**2 + 5*u**d + 6*u**4 wrt u.
480*u
Let h(u) = -22*u**2 + 2*u. Let z(b) = 4214*b**2 + 22*b + 5178. Let r(o) = 22*h(o) - 2*z(o). Find the first derivative of r(k) wrt k.
-17824*k
Let t(d) = -d**3 + 6*d**2 - 10*d + 18. Let r be t(4). Differentiate -l**3 + 144 + r*l**3 - 47*l + 44*l with respect to l.
27*l**2 - 3
Let y(d) = -5*d**4 + 4*d**3 + 160*d**2 - 365. Let j(o) = -12*o**4 + 9*o**3 + 316*o**2 - 730. Let u(f) = 4*j(f) - 9*y(f). What is the derivative of u(w) wrt w?
-12*w**3 - 352*w
Let f(m) = m**2 - 5*m + 7. Let z be f(4). What is the derivative of -k + k - 17*k**z - 4*k**3 + 197 - 8*k**3 wrt k?
-87*k**2
Find the second derivative of -5535*l**4 + 15708*l**4 + 2*l**2 - 2*l**2 - 67129*l + 66277*l wrt l.
122076*l**2
Find the second derivative of 12609*u + 5004*u**4 + 2*u**2 - 2*u**5 - 3207*u - 2391*u wrt u.
-40*u**3 + 60048*u**2 + 4
Let v(w) be the third derivative of 0*w**5 + 193*w**2 + 37/30*w**6 + 35/6*w**4 + 0 + 0*w**3 + 0*w. What is the second derivative of v(k) wrt k?
888*k
Let f(b) = -2032*b**2 + 126*b - 416. Let x(z) = 4063*z**2 - 273*z + 833. Let h(l) = 13*f(l) + 6*x(l). What is the derivative of h(i) wrt i?
-4076*i
Differentiate -77*p - 40*p**3 + 39*p**3 + 382*p + 1712*p - 2696 wrt p.
-3*p**2 + 2017
What is the third derivative of 39*u - 243*u**5 + 2 + 4*u**3 - 39*u + 318*u**5 - 367*u**2 wrt u?
4500*u**2 + 24
Find the second derivative of -16*d + 4*d**3 + 4076 - 10*d**4 + 5*d - 4083 wrt d.
-120*d**2 + 24*d
Differentiate 56*s + 459*s**2 - 227*s**2 + 286 - 233*s**2 wrt s.
-2*s + 56
Let m = 413 - 318. What is the third derivative of m + 23*c**2 - 189*c**2 + 13*c**3 + 93 - 188 wrt c?
78
Let q(m) = -m**3 - 8*m**2 - 10*m - 20. Let t be q(-6). Let g = 50 + t. Find the second derivative of -13*w + 4*w - g*w + 3*w + 13*w**3 wrt w.
78*w
What is the derivative of 2435 - 659 + 2940 - f + 19*f + f**2 - 299 wrt f?
2*f + 18
Find the second derivative of 137 + 4328*p**2 - 4328*p**2 + 227*p**3 - 7*p - 3304*p**3 wrt p.
-18462*p
Let u be 36 + (2 - 2)*(-1)/2. Let o = 41 - u. Find the first derivative of 14 + 25*f**4 - 5*f**2 + o*f**2 - 36 wrt f.
100*f**3
Let j = 39701/10 - 3970. Let f(h) be the third derivative of -2/3*h**3 - j*h**6 + 6*h**2 + 0*h**5 + 0 + 0*h**4 + 0*h. Differentiate f(s) with respect to s.
-36*s**2
Let o(h) be the second derivative of -449*h**4/6 + 683*h**3/6 - 847*h. What is the second derivative of o(m) wrt m?
-1796
Let j = -88 +
|
{
"pile_set_name": "DM Mathematics"
}
|
omposite number?
False
Is 556351 a prime number?
True
Is 1544533 a composite number?
False
Is 377999 a prime number?
True
Is 3901397 prime?
True
Is 3164269 composite?
False
Is 39177262 prime?
False
Is 3348337 composite?
True
Is 1223637 a composite number?
True
Is 9826195 prime?
False
Is 637319981 a composite number?
False
Is 924353 a composite number?
True
Is 1124231 prime?
False
Is 773515043 composite?
True
Is 57821242 composite?
True
Is 406767 prime?
False
Is 45535289 prime?
True
Is 601453 composite?
True
Is 51642543 a composite number?
True
Is 355022 prime?
False
Is 975509 a composite number?
False
Is 3322457 a composite number?
True
Is 102665947 prime?
True
Is 370816541 prime?
True
Is 6571589 prime?
True
Is 935819 a composite number?
False
Is 50004899 a prime number?
False
Is 7873031 composite?
False
Is 12161983 a composite number?
True
Is 3932021 a prime number?
True
Is 1231459 composite?
False
Is 444934277 a composite number?
False
Is 116697391 prime?
True
Is 870901 a composite number?
False
Is 22909849 composite?
False
Is 58819021 a composite number?
False
Is 80643443 prime?
False
Is 1459851 prime?
False
Is 466239 composite?
True
Is 72090479 composite?
True
Is 1801663 prime?
False
Is 5356693 prime?
True
Is 18255733 a composite number?
True
Is 3457163 a composite number?
False
Is 405145771 a prime number?
True
Is 5114338 composite?
True
Is 81820293 composite?
True
Is 72533546 a composite number?
True
Is 4601099 a prime number?
True
Is 2282081 composite?
False
Is 54283027 a prime number?
True
Is 9811781 composite?
True
Is 63988499 a composite number?
True
Is 2001535 a composite number?
True
Is 7128673 prime?
True
Is 32328199 a prime number?
False
Is 48782987 prime?
False
Is 58595737 a prime number?
False
Is 669448561 prime?
True
Is 94517111 a composite number?
True
Is 2313401 prime?
True
Is 7354421 composite?
True
Is 480511 a prime number?
False
Is 1076519 composite?
False
Is 167527687 a composite number?
True
Is 1561187 a composite number?
False
Is 51154189 prime?
False
Is 24262769 composite?
True
Is 382172702 a prime number?
False
Is 635243 prime?
False
Is 842019 a composite number?
True
Is 182705743 a prime number?
False
Is 4354349 prime?
True
Is 26944807 prime?
True
Is 2174243 prime?
True
Is 3007409 a composite number?
False
Is 457799 composite?
False
Is 326250697 a composite number?
False
Is 7795351 prime?
False
Is 15911177 composite?
False
Is 102043 a prime number?
True
Is 6656857 prime?
True
Is 113291779 a prime number?
False
Is 13807397 prime?
True
Is 7924907 a prime number?
False
Is 7601557 composite?
True
Is 4579143 a composite number?
True
Is 280542187 a prime number?
True
Is 345555103 a prime number?
False
Is 27081931 a composite number?
False
Is 478089083 composite?
False
Is 8720666 prime?
False
Is 146840261 prime?
False
Is 7350139 composite?
True
Is 205156657 a composite number?
False
Is 120138623 a composite number?
True
Is 365793031 composite?
False
Is 12550229 a composite number?
False
Is 1196709 composite?
True
Is 187978753 a composite number?
False
Is 3811037 a composite number?
True
Is 43884481 composite?
False
Is 48067927 a composite number?
False
Is 725639 prime?
True
Is 9677191 a prime number?
True
Is 15311029 a prime number?
True
Is 5194601 composite?
False
Is 2342399 a prime number?
True
Is 165633443 a prime number?
False
Is 203544389 a prime number?
False
Is 6651427 composite?
False
Is 183611 a prime number?
True
Is 354213917 a composite number?
True
Is 11619935 composite?
True
Is 8376871 a prime number?
True
Is 1478353 prime?
True
Is 75951329 composite?
False
Is 92242343 a composite number?
False
Is 2338859 composite?
True
Is 57337951 a composite number?
True
Is 59613487 a composite number?
True
Is 16107242 a composite number?
True
Is 7864729 a composite number?
True
Is 7476943 a composite number?
True
Is 11408231 a prime number?
True
Is 113493659 a composite number?
False
Is 2179 a composite number?
False
Is 17944131 prime?
False
Is 824641 composite?
False
Is 17515703 a composite number?
False
Is 836105 a composite number?
True
Is 127997839 composite?
True
Is 5575067 prime?
True
Is 1215017 prime?
True
Is 102459961 prime?
False
Is 8709007 prime?
True
Is 43766759 composite?
False
Is 26625827 a prime number?
True
Is 999287 a composite number?
False
Is 5150671 a prime number?
True
Is 3772099 prime?
True
Is 4749463 prime?
True
Is 3011417 composite?
True
Is 32598407 a prime number?
False
Is 110099461 prime?
False
Is 88993241 prime?
True
Is 1645701 composite?
True
Is 897187 a prime number?
False
Is 2958531 composite?
True
Is 67489997 a composite number?
True
Is 149936029 prime?
False
Is 78115411 prime?
False
Is 8972359 composite?
True
Is 225733 a composite number?
False
Is 4319101 a prime number?
False
Is 37426453 prime?
True
Is 144097381 a composite number?
False
Is 142512509 prime?
True
Is 421917 a composite number?
True
Is 12504029 prime?
True
Is 84780517 prime?
False
Is 506063 a prime number?
False
Is 82171267 prime?
False
Is 1504463 prime?
True
Is 4362577 a prime number?
False
Is 20337881 prime?
False
Is 311551879 composite?
True
Is 1443899 composite?
False
Is 2707541 composite?
False
Is 55358971 composite?
True
Is 32154139 composite?
False
Is 2096357 a prime number?
True
Is 11166427 a prime number?
True
Is 6796069 composite?
True
Is 3239141 a prime number?
True
Is 610546562 composite?
True
Is 128501489 a prime number?
False
Is 4994599 prime?
True
Is 492033 composite?
True
Is 53030573 composite?
False
Is 118041473 a composite number?
True
Is 15408041 prime?
False
Is 3254689 a composite number?
False
Is 117828103 composite?
True
Is 2699867 prime?
True
Is 182738407 prime?
True
Is 223411 prime?
False
Is 14120969 prime?
False
Is 1140322 prime?
False
Is 4822817 prime?
False
Is 112481 composite?
False
Is 170831443 composite?
False
Is 8496883 a composite number?
True
Is 9335357 prime?
True
Is 158657 a composite number?
False
Is 148360826 a prime number?
False
Is 5129863 a prime number?
True
Is 776659 a prime number?
False
Is 11727622 composite?
True
Is 7576033 a prime number?
False
Is 69092153 composite?
|
{
"pile_set_name": "DM Mathematics"
}
|
- 6, -2*a - w*m + 16 = 0. Solve 0 = -a*y + 6 + 4 for y.
5
Let p = -19940 - -20024. Solve 2072*i - 2058*i = p for i.
6
Let g = 0 - -4. Suppose -13*n + 60 = -7*n. Let x be (3/(n - 1))/(7/63). Solve f - x*f = g for f.
-2
Let f(g) = g**3 + 38*g**2 + 37*g + 88. Let i be f(-37). Solve i = 7*y + 74 for y.
2
Let k(p) = p**2 + 11*p + 20. Let x be k(-16). Solve 10*y + 10*y = x for y.
5
Let w = 4447 + -4429. Solve w*u + 2*u = 100 for u.
5
Let f be (-20 - -4) + 39 - -26. Solve -150 = f*q + 46 for q.
-4
Suppose -3*a + 4*b = a - 20, -5*b - 15 = -3*a. Suppose -4*v + 2*l = -16, a*v + 4 + 2 = -4*l. Suppose v*p = -p + 4*p. Solve h - 6*h = p for h.
0
Let a be 6/2*(-123)/(-9). Suppose -2*o = 5*c - o - 37, -5*c - 3*o + a = 0. Suppose 9*x = c*x. Solve -2*z = -x*z - 2 for z.
1
Suppose 3*v - 4*v + 163 = 108. Solve 0 = -63*g + v*g - 48 for g.
-6
Let z be 6 + -6*2/4. Let t = -21 - -55. Suppose -18*i = -i - t. Solve i*q - z = -13 for q.
-5
Let u(c) = -1134*c - 9033. Let m be u(-8). Solve 19*p + m = 58*p for p.
1
Let p = -76 - -393. Let j = -312 + p. Solve y + 2 = j for y.
3
Let q(g) = g + 19. Let b be q(-16). Suppose 4*f = 3*j + 2*j - 90, b*f - 81 = -3*j. Let l be ((-24)/(-30) - j/(-10)) + 1. Solve 0 = -l*p - 0*p + 20 for p.
5
Let c = -20 - -30. Suppose -c*i = -6*i - 40. Let u be (-3 - -1) + -2 + i. Solve -4*f = -f - u for f.
2
Let u(t) = -t - 2. Let m be -3*(-3)/((-18)/(-50)). Suppose -5*z = -v + m, 2*z = 3*z - 5*v + 29. Let i be u(z). Solve -2*w + 4*w = i for w.
1
Suppose 949 = 7*m - 4*m + 4*q, 3*m - 979 = 2*q. Solve 333*s - 50 = m*s for s.
5
Suppose 5*i - 5*n - 105 = 0, -5*i - n = -8*i + 59. Solve 44*l - 50 = i*l for l.
2
Suppose -21*r - 59099 = -59477. Solve -24*q + r = 42 for q.
-1
Suppose -5*b + 105 = 5*m, 5*b - 5 - 48 = -3*m. Solve 146 - 16 = m*t for t.
5
Let d(l) = 24*l**2 + 47*l + 130. Let m be d(-3). Solve m = -6*k + 229 for k.
4
Let q(u) = -u + 34. Let o be q(10). Let m = -24 + o. Suppose m = -9*z + z + 56. Solve 0 = -3*y - 2 - z for y.
-3
Suppose -13*y + 8 = -9*y. Let o be (-15)/(-3) + 5 + (1 - 4). Suppose 4*m - o*m = -21. Solve 3 = y*s + m for s.
-2
Suppose 0 = t - 5*z - 168, 2*t + 10*z = 290 + 166. Solve -8*s = -t + 142 for s.
7
Suppose -72*f + 63751 = -4*f - 52189. Solve -1708*b + f*b + 12 = 0 for b.
4
Let l(b) = 8*b + 196. Let y be l(-24). Suppose 4*f - 26 = 2*n, y = -f + 3*n + 23. Solve -f*a - 22 = -34 for a.
3
Let y(n) = -n**3 + 24*n**2 + 48*n - 471. Let p be y(25). Solve 82 = 22*q + p for q.
-1
Let z = 6205 - 6179. Solve z*c = -28 + 54 for c.
1
Suppose -19*z + 240 + 900 = 0. Solve -z = 5*w - 50 for w.
-2
Suppose -56 + 1040 = 164*q. Solve 1156*z = 1150*z + q for z.
1
Let b = 24386 + -24329. Solve 0 = -88*z + b - 849 for z.
-9
Let h be 4/(-14) + 4161/133. Suppose b + 0*b - h = 0. Let m = b + -19. Solve -3*k + m = k for k.
3
Let m be 40/16*(-34)/5*2. Let q be (-68)/85 + m/(-5). Solve -2*f = -q + 2 for f.
2
Let c be (-105)/(-14)*((-22)/(-10) + -1). Let j(a) = -3*a**3 + c*a**3 - 5*a**3 + 6*a - 17 + 7*a**2. Let m be j(-5). Solve 0 = 5*l - m*l + 4 for l.
-2
Let y(a) = -10*a**3 + 2 + 39*a**2 + 74*a**2 + a - 115*a**2. Suppose -8*x + 3*x = 5. Let l be y(x). Solve -o = 2*o - l for o.
3
Let k be -5 - (-5 - 949/13). Solve -20 = 63*i - k*i for i.
2
Let c(d) = d - 8. Let n = 110 - 94. Let x be c(n). Solve -4 = 6*m + x for m.
-2
Let c(j) = j**2 + 34*j + 7. Suppose -136 - 34 = 5*h. Let x be c(h). Solve -x*g - 16 = g for g.
-2
Let d = 2 + -1. Let t(n) = 504*n**2 - 6*n + 3. Let l be t(-1). Let j = 516 - l. Solve j*k + 11 = -d for k.
-4
Let w = -40 + 69. Suppose 0 = -24*i + w*i + 260. Let y = -48 - i. Solve -y*j = -j + 3 for j.
-1
Let p = -4284 + 4359. Solve 0 = 19*j - p - 20 for j.
5
Let y = -70 + 45. Let l = 25 + y. Solve -2*g - 6 = -l*g for g.
-3
Let q(c) = 7*c - 4*c - 28 + 3*c. Suppose 997*y - 1002*y + 35 = 0. Let m be q(y). Solve 5*j = 11 + m for j.
5
Suppose -137*u + 142*u = -420. Let i = u + 84. Solve i = -2*x + 4*x - 8 for x.
4
Suppose i + 5*p + 4 = 6*p, 3*i + 12 = -p. Let q be -1 + i*3/(-4). Solve -3 = n - q for n.
-1
Suppose l - 5 = -2. Let q = 240 - 228. Let v be -1 + (19/6)/(q/72). Solve 5*s = v - l for s.
3
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
er.
3717, -2/3, -6/7, -49
Sort 5, -18, -1583, 1, 4, 0 in descending order.
5, 4, 1, 0, -18, -1583
Sort 0.4, 0.424, 0.2, 11, 6, 3/5 in decreasing order.
11, 6, 3/5, 0.424, 0.4, 0.2
Put 135, -4, 0.26, -6 in descending order.
135, 0.26, -4, -6
Put 418, 5870, -2/15 in ascending order.
-2/15, 418, 5870
Sort 1, -8, -4, 2361, 4, 3.
-8, -4, 1, 3, 4, 2361
Put 5, 3, 4, 11048, 75, 2 in decreasing order.
11048, 75, 5, 4, 3, 2
Put -28253, 8, 3, -1, 1 in descending order.
8, 3, 1, -1, -28253
Put 634, 4, 33, 966 in increasing order.
4, 33, 634, 966
Sort -814, -1, 60, 0, -3, -6 in ascending order.
-814, -6, -3, -1, 0, 60
Put -19, 4, 159, -22, 1 in increasing order.
-22, -19, 1, 4, 159
Put -1, 0.4, -9, 0.2, -2281/7, 5 in increasing order.
-2281/7, -9, -1, 0.2, 0.4, 5
Put 4, -1, -5, -14, -2670, -2 in descending order.
4, -1, -2, -5, -14, -2670
Put -57, 2, 1, -5, -3, -89, 5 in decreasing order.
5, 2, 1, -3, -5, -57, -89
Sort 2/9, -3, -108, 1/2, -0.1, 299 in descending order.
299, 1/2, 2/9, -0.1, -3, -108
Sort 3838, -4, -43, 1 in decreasing order.
3838, 1, -4, -43
Sort -32, -12, 0, -8, 4, -10, -107 in descending order.
4, 0, -8, -10, -12, -32, -107
Put -27788, -3887, 0.2, 0.5 in descending order.
0.5, 0.2, -3887, -27788
Sort -0.020428, 5.93, -1/7, 4 in decreasing order.
5.93, 4, -0.020428, -1/7
Sort -1/4, 2/3, -2/7, 15355, 4, 0 in decreasing order.
15355, 4, 2/3, 0, -1/4, -2/7
Sort -8, -12, 5, -128, -75, -1.
-128, -75, -12, -8, -1, 5
Sort 5, 1.63, 2/9, 8, -48, -0.5, -2 in ascending order.
-48, -2, -0.5, 2/9, 1.63, 5, 8
Sort -77, 34, 8 in ascending order.
-77, 8, 34
Put -2, -2/9, 448, -1/25 in decreasing order.
448, -1/25, -2/9, -2
Sort -3, 2, 18, -8, -21, -1, 102 in ascending order.
-21, -8, -3, -1, 2, 18, 102
Sort -1, -68, -0.1, 0.4, 1, 0.063 in ascending order.
-68, -1, -0.1, 0.063, 0.4, 1
Sort -127, -0.01, 2493.29 in descending order.
2493.29, -0.01, -127
Sort -43, 1, -40, -1.2276 in ascending order.
-43, -40, -1.2276, 1
Sort -0.3, 52, -2, -21.001 in decreasing order.
52, -0.3, -2, -21.001
Sort -16, -52, 1, 11, 3, -2, 0 in increasing order.
-52, -16, -2, 0, 1, 3, 11
Put 496, -1, -16, -2, -5, -175 in decreasing order.
496, -1, -2, -5, -16, -175
Sort 3, -0.4, -0.2, -3930, 3/2, 0.
-3930, -0.4, -0.2, 0, 3/2, 3
Sort 542, -18, -349, 2 in increasing order.
-349, -18, 2, 542
Sort 2, 1841, 4, -0.2, 0.1, -5 in descending order.
1841, 4, 2, 0.1, -0.2, -5
Sort 2/5, 0.099, -205/3, 4 in descending order.
4, 2/5, 0.099, -205/3
Sort 1, -78691/4, 581, 5 in increasing order.
-78691/4, 1, 5, 581
Sort -4, -25, 5, 78, 36.
-25, -4, 5, 36, 78
Put 3, 11, 4, 225, -10, 14 in decreasing order.
225, 14, 11, 4, 3, -10
Sort 1341398, -15, -4 in descending order.
1341398, -4, -15
Sort 0.3, -2/553, 0.056, 0.4, -508 in descending order.
0.4, 0.3, 0.056, -2/553, -508
Put 4, -146, 45006 in decreasing order.
45006, 4, -146
Put -49961, -136, -5 in ascending order.
-49961, -136, -5
Sort 1/5, 5, -13/4, 0.9, -35228 in descending order.
5, 0.9, 1/5, -13/4, -35228
Sort 8, 0, -5, 222, 7, 1 in ascending order.
-5, 0, 1, 7, 8, 222
Put -7, -165, -3, -2, 3, 0, 62 in increasing order.
-165, -7, -3, -2, 0, 3, 62
Put -5, -140894, 4, -4, 0, 1 in ascending order.
-140894, -5, -4, 0, 1, 4
Put -0.02, -39747, -22, -0.4 in ascending order.
-39747, -22, -0.4, -0.02
Sort -7/2, -6, -3/41, -0.3, 287.
-6, -7/2, -0.3, -3/41, 287
Put -2/7, -53, 2/11, -4, 10518 in increasing order.
-53, -4, -2/7, 2/11, 10518
Sort 6.461, -1, 108/31 in descending order.
6.461, 108/31, -1
Put 0.5, -569/79, -759 in descending order.
0.5, -569/79, -759
Sort 11, -24, -1, 4, -3.
-24, -3, -1, 4, 11
Put -2404, 4, 74, 3, -1, 5 in ascending order.
-2404, -1, 3, 4, 5, 74
Sort 13, -95, 14, 1, -20, 2/3 in ascending order.
-95, -20, 2/3, 1, 13, 14
Sort 0, 145, 1402, 7 in ascending order.
0, 7, 145, 1402
Sort 6, 4, -116728, 53 in ascending order.
-116728, 4, 6, 53
Put 1, -885, -4124 in decreasing order.
1, -885, -4124
Put 2, -5, -796, 128, -13/9 in decreasing order.
128, 2, -13/9, -5, -796
Put 2/7614931, -1/7, -19 in decreasing order.
2/7614931, -1/7, -19
Sort 1, 0, 6,
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -4/13 (b) -107 (c) -5
a
Which is the nearest to -4? (a) 1.4 (b) -1 (c) -3 (d) -0.2
c
What is the closest to -3.26 in 0.5, -1/4, -285?
-1/4
Which is the closest to -3.6? (a) -0.4 (b) -0.2 (c) 26 (d) -0.5 (e) 2
d
Which is the closest to 1/7? (a) 1/7 (b) -2/17 (c) -5 (d) -4 (e) -177.2
a
What is the nearest to -0.2 in -7, -3/79, -8, 0.1?
-3/79
What is the nearest to -13 in -2/7, 10/3, 7, -1/5, 1/4?
-2/7
What is the closest to -2 in -344, 4, 0, -3, -1.3?
-1.3
What is the closest to -21 in -2, -5, 20?
-5
Which is the closest to 0? (a) 0.05536 (b) 4/3 (c) -4 (d) -3
a
What is the nearest to -1/6 in 0.3, 0.6, 0.4, -68/29?
0.3
Which is the closest to -1? (a) 0.4 (b) 174/73 (c) 0.5 (d) -1
d
Which is the nearest to 1? (a) -0.4 (b) 1/192 (c) 0.177 (d) 7
c
Which is the nearest to -50? (a) 1/4 (b) -1/6 (c) -29
c
What is the nearest to 1 in 3/20, -2/37, 5, 82, 0.1?
3/20
What is the nearest to -0.1 in -4, 4, 322/5, 1/3?
1/3
What is the nearest to 9/7 in -1.2, 6, -2/5?
-2/5
Which is the closest to 3? (a) 20 (b) 3 (c) -269
b
What is the closest to 0.1 in -2/3, 3, -2.5, -4, -2/7?
-2/7
Which is the nearest to -2? (a) 2/11 (b) 8/9 (c) 7 (d) -0.5 (e) 55
d
Which is the closest to 0? (a) 1/7 (b) -163 (c) 8
a
Which is the closest to 0.1? (a) -3 (b) 0.2 (c) 0.21 (d) -1/4 (e) -0.07
b
Which is the nearest to -2? (a) 2/85 (b) 3 (c) -24 (d) 2 (e) 2/5
a
Which is the nearest to 0.1? (a) -1 (b) 1.5 (c) -82 (d) -0.1 (e) 1
d
Which is the nearest to -2/5? (a) -2/349 (b) 6/145 (c) 3/4 (d) -2
a
Which is the closest to -1/5? (a) 1/3 (b) 1 (c) -29/4 (d) -1/2 (e) 0.4
d
What is the closest to -1/3 in -220, -3, 3, 4, -261?
-3
What is the nearest to 4 in 0.16, 0.3, 3/5, 2/3?
2/3
What is the nearest to -1 in 217398, 1/2, -1/2?
-1/2
Which is the nearest to 0? (a) 0.11 (b) 2 (c) 35 (d) 4 (e) 1
a
Which is the nearest to -2/5? (a) -1 (b) 0.4 (c) -119.1 (d) -3
a
What is the nearest to -2/113 in 2, 4, -14/9?
-14/9
What is the closest to 0.0032 in -1, -2, 9, -4?
-1
Which is the nearest to -1? (a) 5 (b) 4 (c) -0.38 (d) 2 (e) -5/8
e
What is the closest to -354 in -3, -2/13, -251?
-251
Which is the nearest to -1? (a) 36 (b) 5.2 (c) 3 (d) -2/5
d
What is the nearest to 9 in 30/19, -0.3, 2, -10?
2
What is the closest to -1 in 0, 3, -2/9, -1.37?
-1.37
Which is the closest to 2/3? (a) -2.69 (b) 0.021 (c) -5
b
What is the closest to 0.5 in -1, 0.0351, 3, -2/13?
0.0351
What is the closest to -1/5 in -11/9, -3/2, 3, 2/9?
2/9
What is the nearest to 15 in -2/13, 466, 24, 0?
24
What is the closest to 116 in -1/7, 0.5, -1/3, -5/2?
0.5
Which is the nearest to 30170? (a) 2/11 (b) -3/5 (c) -1
a
Which is the nearest to 0.3? (a) 1 (b) 143 (c) -2
a
What is the nearest to 8 in -627, 1/2, 1/5?
1/2
Which is the closest to 1/9? (a) -1 (b) -5 (c) -3 (d) -0.1 (e) -0.24
d
Which is the closest to -171? (a) 9 (b) -1 (c) 4
b
Which is the closest to -0.5? (a) -40 (b) 0.3 (c) 2/7 (d) -11/4
c
What is the closest to -1 in 5, 25.4, 0.042, 1/4, -1/2?
-1/2
What is the closest to 53 in -0.032, 21, 1/5, -4, 1?
21
Which is the closest to 0.1? (a) 2/3 (b) -2/9 (c) -5/18 (d) -2/13
d
What is the nearest to 32 in -1/3, -2/23, 2, 0.02, 2/3?
2
Which is the closest to 0? (a) 0.8 (b) -4 (c) 3/10 (d) -8/45
d
Which is the nearest to 0.1? (a) -1/2 (b) -1/3 (c) 0.189 (d) 1/2 (e) -3/2
c
What is the closest to 0 in 2, -1/13, 0, 1/18?
0
Which is the nearest to -4? (a) -81 (b) 0.59 (c) 2
b
Which is the closest to 4? (a) 5 (b) 0 (c) -405 (d) -4
a
What is the nearest to 1/3 in 6, -1/2, 0.0623?
0.0623
Which is the nearest to 4? (a) -0.2 (b) 19/11 (c) 1/9 (d) -5
b
What is the nearest to 3 in -0.22, 0.3, -31?
0.3
Which is the closest to 22/3? (a) 3 (b) 1/10 (c) -9 (d) 2/29
a
What is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*w. Let d(z) = l*k(z) + 3*s(z). Determine d(-5).
-13
Let t(w) = -w**2 + 16*w - 11. Let u be t(15). Let b = u - 2. Let r(g) = -3*g**2 + 8*g**2 - 3*g**2 + b*g**2. What is r(-2)?
16
Let h(y) = -y**2 + 4*y - 3. Let x = 13 - 9. Suppose -5*w + x*a + 18 = 109, 0 = -2*w + 4*a - 46. Let j = w - -19. What is h(j)?
-3
Let l(y) = -30*y - 26*y + 61*y. Let t(x) = x**2 - 3*x + 1. Let j be t(3). Give l(j).
5
Let t = 2 - 3. Let w(f) = -24829*f + 12406*f + 12414*f. Determine w(t).
9
Let q(j) be the first derivative of -j**3/3 + 6*j**2 - 7*j - 395. What is q(12)?
-7
Let r = 137 + -133. Let q(i) = 27*i**2 - 2. Let s be q(4). Let a be s/90 - r/(-18). Let j(x) = x**3 - 4*x**2 - 7*x + 1. What is j(a)?
-9
Let c(n) = 4*n**2 - 2*n - 1. Let m = 87 - 82. Suppose 2*l - 3 = -z - 7, z - 3 = m*l. Calculate c(z).
19
Let h be 126/9 + (0 - 2). Let w(y) = y + 1. Let r(g) = -6*g + 8. Let i(b) = -r(b) - 5*w(b). What is i(h)?
-1
Let a(q) = q**3 + 12*q**2 + q - 8. Suppose 525 - 213 = -26*s. What is a(s)?
-20
Let m(c) = -81*c + 41*c + 45*c - c**2 - 3. Give m(7).
-17
Let w(x) = -3*x - 2. Let j = 12 + -8. Let l(n) = n + 1. Let r(f) = j*l(f) + 2*w(f). Let s be (-1)/2 - (-18)/(-4). Determine r(s).
10
Let k(x) = -9*x - 53. Let y(p) = 24*p + 159. Let d(l) = -7*k(l) - 2*y(l). Give d(-4).
-7
Let c(m) = m**2 - 10*m + 9. Suppose -16*w + 58 = -70. Determine c(w).
-7
Let p(i) be the third derivative of -i**6/4 + i**5/60 + 5*i**2 - 11. Give p(1).
-29
Let h be -1*(0 + 1 + 14/(-12)). Let j(b) be the second derivative of b + h*b**3 + 0 + 5*b**2. Calculate j(-7).
3
Suppose 11 = 4*t - 2*b + 55, 2*t - 3*b + 22 = 0. Let l = -18 - t. Let h(k) = k**3 + 6*k**2 - 8*k - 1. Determine h(l).
6
Let j(q) = 16*q + 16. Let c(l) = -3*l - 3. Let k(n) = -11*c(n) - 2*j(n). Let i(m) = -5*m - 37. Let r be i(-6). Give k(r).
-6
Let x(l) = 17*l + 6. Let p(c) = 11*c + 4. Let n(g) = 8*p(g) - 5*x(g). Let y(h) = -h**2 - 8*h - 1. Let u be y(-7). Suppose -u*v - 7 = 5. What is n(v)?
-4
Let v(g) be the second derivative of -g**8/6720 - g**5/24 - g**4/6 + 2*g. Let o(x) be the third derivative of v(x). Let a = -1381 + 1381. Determine o(a).
-5
Let o(m) = -m**2 + 9*m - 1. Let g be (-1)/((-20)/(-90)*6/4). Let s be (g + -1 - 3)/(-1) - -1. Calculate o(s).
7
Suppose 4*a + 4*j = 17 - 45, a + 27 = -5*j. Let w(g) = 6*g + 3. Give w(a).
-9
Suppose -2*i = -4*i - 12. Let n be (3/i)/((-3)/30). Let m(b) = n - b - 2 - 3. Calculate m(6).
-6
Let h(u) = 3*u - 1. Let g(f) be the third derivative of f**4/24 - 2*f**2. Let a(i) = -5*g(i) + h(i). Calculate a(2).
-5
Let n(r) be the second derivative of 4/3*r**3 - r + 1/20*r**5 + 0 - 4*r**2 - 2/3*r**4. Suppose 16*p + 23*p = 273. Calculate n(p).
-1
Let q = 103 + -115. Let l be (-3)/(18/q) - 6. Let x(m) = -4*m - 4. Give x(l).
12
Let p(h) = -h**2 - 7*h - 2. Suppose u = k - 2*u + 3, -5*k - u = -49. Suppose -6*o = -9*o + k. Suppose -21 = o*b + y, 0*b - 14 = 2*b - 3*y. Give p(b).
-2
Let b(a) = a**2 - 2*a - 4. Suppose 5*j = 4*c, 0*c + c = -5*j. Let n be b(j). Let l(v) = v**3 + 4*v**2 - 4. Determine l(n).
-4
Let b = 208 - 138. Suppose b*l - 64*l = -12. Let u(p) = -4 + 1 - 3*p - 2*p**2 + 0*p. Calculate u(l).
-5
Let v(w) = 2*w**2 - 96*w + 16. Let y(q) = -q**2 + 45*q - 7. Let o(j) = -6*v(j) - 13*y(j). Let z(a) = 2*a**2 + 2. Let n be z(2). Calculate o(n).
5
Let z(n) = -9*n**3 - 39*n**2 + 5*n - 34. Let k(a) = 4*a**3 + 19*a**2 - 2*a + 16. Let v(h) = -7*k(h) - 3*z(h). What is v(-16)?
6
Let v = -14 + 13. Let u be v/(2/8) + 8. Let d(l) = 5 - 3 - 4*l + 5*l. What is d(u)?
6
Let q(g) = 4 + 4*g - 13 + 14. Give q(-3).
-7
Let a = -2028 - -2022. Let o(r) = 2 + 4 + r**2 + 9*r + 0. Calculate o(a).
-12
Let j = 3 + -2. Let v(f) = -81*f**3 + 162*f**3 - 86*f**3 + f - 1. What is v(j)?
-5
Let o(u) = u**3 + 15*u**2 + 47*u + 39. Let t be o(-11). Let f(a) = 3*a - 22. Calculate f(t).
-4
Let b = 5 + -10. Let z = b + 7. Let v(h) = 1 - 3*h**2 - h - z*h + 4*h**2. What is v(3)?
1
Let b = 56 +
|
{
"pile_set_name": "DM Mathematics"
}
|
3 prime?
False
Is 10259 prime?
True
Is 5721 prime?
False
Is 127222 a prime number?
False
Is 1130929 composite?
False
Is 5051 composite?
False
Is 14567 a composite number?
True
Is 67307 composite?
False
Is 36922 composite?
True
Is 394046 a prime number?
False
Is 717491 composite?
False
Is 56471 prime?
False
Is 431389 a composite number?
True
Is 773681 a prime number?
True
Is 1979 a prime number?
True
Is 343807 composite?
True
Is 246241 composite?
False
Is 328961 a composite number?
False
Is 35515 a composite number?
True
Is 794741 a composite number?
False
Is 107437 a composite number?
True
Is 434567 prime?
False
Is 317437 a composite number?
False
Is 150631 a prime number?
False
Is 943589 a prime number?
True
Is 529 composite?
True
Is 44449 a composite number?
False
Is 40343 a prime number?
True
Is 106147 composite?
True
Is 375461 a prime number?
False
Is 114331 prime?
False
Is 5323 prime?
True
Is 46261 composite?
False
Is 451159 a prime number?
True
Is 414311 a prime number?
True
Is 34197 a composite number?
True
Is 4751 prime?
True
Is 564695 a composite number?
True
Is 160807 composite?
False
Is 8651 a prime number?
False
Is 369869 prime?
False
Is 63515 a prime number?
False
Is 2316203 a composite number?
False
Is 463127 prime?
False
Is 4153 a composite number?
False
Is 13303 a prime number?
False
Is 29717 a prime number?
True
Is 469193 prime?
True
Is 1091999 a composite number?
True
Is 2218 composite?
True
Is 11213 prime?
True
Is 69551 a prime number?
False
Is 20239 prime?
False
Is 5557 prime?
True
Is 506017 composite?
True
Is 396403 a composite number?
True
Is 6899 composite?
False
Is 18623 a prime number?
False
Is 7057 composite?
False
Is 14503 a prime number?
True
Is 102911 a prime number?
True
Is 5403 a prime number?
False
Is 552971 composite?
False
Is 366713 a prime number?
True
Is 124329 prime?
False
Is 1043 a composite number?
True
Is 75629 composite?
False
Is 18979 a prime number?
True
Is 3163 composite?
False
Is 1195 composite?
True
Is 246901 composite?
True
Is 1157 composite?
True
Is 282343 prime?
False
Is 411403 a prime number?
False
Is 1415707 composite?
False
Is 7261 composite?
True
Is 711163 a prime number?
True
Is 593839 a prime number?
True
Is 1093987 composite?
True
Is 16183 composite?
False
Is 84115 a prime number?
False
Is 958 prime?
False
Is 15891 composite?
True
Is 226167 composite?
True
Is 4176659 prime?
False
Is 220519 a prime number?
False
Is 9091 composite?
False
Is 2437 a composite number?
False
Is 17881 prime?
True
Is 10123 composite?
True
Is 115633 prime?
False
Is 1315651 a composite number?
False
Is 78919 composite?
False
Is 133979 composite?
False
Is 253 a composite number?
True
Is 1866721 a prime number?
True
Is 220747 a prime number?
True
Is 653011 composite?
True
Is 922 a prime number?
False
Is 24731 a composite number?
True
Is 38149 a prime number?
True
Is 3070213 a composite number?
False
Is 639091 prime?
True
Is 19739 composite?
False
Is 2718911 a prime number?
False
Is 58211 prime?
True
Is 212051 composite?
True
Is 14369 prime?
True
Is 23755 composite?
True
Is 144203 a prime number?
True
Is 31867 a prime number?
False
Is 1648037 a prime number?
False
Is 264001 prime?
False
Is 479013 prime?
False
Is 10781 prime?
True
Is 517271 a prime number?
False
Is 825611 a composite number?
False
Is 21029 a composite number?
True
Is 90149 composite?
False
Is 285517 prime?
True
Is 2469067 prime?
True
Is 363101 a prime number?
False
Is 73637 composite?
False
Is 1317479 composite?
True
Is 58471 composite?
True
Is 1619047 a prime number?
False
Is 161947 prime?
True
Is 14969 a composite number?
False
Is 182117 a composite number?
True
Is 9974 a prime number?
False
Is 3406363 prime?
False
Is 34313 prime?
True
Is 3989 prime?
True
Is 757151 composite?
False
Is 381629 a prime number?
True
Is 22863 a composite number?
True
Is 24031 prime?
False
Is 685 a prime number?
False
Is 566459 composite?
True
Is 4135 a composite number?
True
Is 558485 composite?
True
Is 1571 composite?
False
Is 12633 a composite number?
True
Is 95345 a composite number?
True
Is 9115 a composite number?
True
Is 244727 a prime number?
False
Is 13801 composite?
True
Is 636749 a composite number?
False
Is 1117 a composite number?
False
Is 14738 prime?
False
Is 1087 a prime number?
True
Is 154571 a composite number?
False
Is 19231 composite?
False
Is 45827 composite?
False
Is 179233 prime?
True
Is 297443 a composite number?
True
Is 28687 a prime number?
True
Is 117017 composite?
False
Is 2099 a prime number?
True
Is 4757 prime?
False
Is 2495 a prime number?
False
Is 82781 a prime number?
True
Is 247727 prime?
False
Is 314671 composite?
True
Is 9229 a prime number?
False
Is 35969 a composite number?
False
Is 13799 a composite number?
False
Is 5207 a composite number?
True
Is 177167 prime?
True
Is 82699 a composite number?
False
Is 2749 a composite number?
False
Is 91859 composite?
True
Is 49783 prime?
True
Is 21809 a prime number?
False
Is 1258079 a prime number?
True
Is 1324985 a prime number?
False
Is 26126 composite?
True
Is 23269 prime?
True
Is 1977 prime?
False
Is 106087 a prime number?
True
Is 4729 composite?
False
Is 88993 a composite number?
False
Is 1905193 a composite number?
True
Is 107227 a composite number?
False
Is 40993 composite?
False
Is 327059 composite?
False
Is 14057 prime?
True
Is 2592521 a composite number?
False
Is 4159 composite?
False
Is 11183 a prime number?
False
Is 408559 composite?
True
Is 14303 prime?
True
Is 190214 a composite number?
True
Is 12053 composite?
True
Is 6521 prime?
True
Is 5411 a composite number?
True
Is 35537 composite?
False
Is 270191 a composite number?
False
Is 846551 composite?
True
Is 22739 prime?
True
Is 1361 a composite number?
False
Is 584911 a prime number?
True
Is 70379 a composite number?
False
Is 164617 a prime number?
True
Is 15253 composite?
True
Is 517 a composite number?
True
Is 10135 a prime number?
False
Is 62357 prime?
False
Is 85001 prime?
False
Is 2249 a prime number?
False
Is 10937 composite?
False
Is 15769 a composite number?
True
Is 39683 composite?
True
Is 1156451 a composite number?
False
Is 576139 composite?
True
Is 1279357 composite?
False
Is 837021 a prime number?
False
Is 222289 prime?
True
Is 2707345 a composite number?
True
Is 1771261 a prime number?
True
Is 4331417 composite
|
{
"pile_set_name": "DM Mathematics"
}
|
- 49*q**3. Give y(-4).
16
Let m(a) = -535 + 1076 - 3*a + 4*a - 538. Let f(s) = 2*s + 3. Let x(w) = -2*f(w) + 3*m(w). What is x(2)?
1
Let t(b) = 2 + 20*b + 9*b**2 - 15*b - 8*b**2. Let r(z) = 3*z + 40. Let u be r(-15). Give t(u).
2
Let d(x) be the second derivative of x**5/120 + x**4/6 + 10*x**3/3 + 112*x. Let j(p) be the second derivative of d(p). Give j(-3).
1
Let i = -23 - -47. Suppose u - 3*d + i = 6*u, -6 = 3*d. Let k(y) = 0*y + 10*y**2 - 4*y**2 - 7 - y**3 + 2*y. Give k(u).
5
Let o(i) be the third derivative of 1/6*i**3 - i + 1/15*i**5 + 0 + 27*i**2 - 1/24*i**4. Determine o(-1).
6
Let s(g) = 5*g**2 + 11*g + 4. Let q be s(-9). Let h(j) = -j**2 + q - 2*j - 310. Calculate h(2).
-8
Let a(n) = -n**3 + 2*n**2 - 3*n + 7. Let l(o) = -o**2 + o. Let y(m) = a(m) - 5*l(m). Let z = -125 - 229. Let s = z - -360. Calculate y(s).
-5
Let l(g) = 11*g. Let b(i) = -9*i + 12. Let o(a) = -10*a + 9. Let h(r) = -3*b(r) + 4*o(r). Let k(j) = 5*h(j) + 6*l(j). Calculate k(3).
3
Let p(o) = -o**3 + 10*o**2 + 5*o + 13. Let z be p(7). Let r(m) = -m**2 + 0*m**2 - z + 2*m + 198. Calculate r(-3).
-12
Let z(v) = -9*v**3 - 3*v**2 - 3*v - 1. Let m be 0 - (44/(-198) + (-40)/(-18)). Calculate z(m).
65
Let y(v) = 2*v - 1. Let q(z) = -z**3 - 14*z**2 + 29*z + 10. Let f(p) = q(p) - 6*y(p). What is f(-15)?
-14
Let t be (1 + -3)/((-16 - 4)/(-140)). Let k(j) = j**3 + 15*j**2 + 15*j + 3. Calculate k(t).
-11
Let o(x) be the first derivative of x**3/3 + x**2 + 2*x - 2066. Let l be (-1)/1 + (-6)/(-2). Let f be (-3 + 5/l)*4. Determine o(f).
2
Let l(o) = 242*o - 34. Let g(a) = 51*a - 7. Let d(t) = 19*g(t) - 4*l(t). What is d(16)?
19
Let o(n) be the first derivative of -1/2*n**2 - 1/6*n**3 - 33*n - 33. Let w(v) be the first derivative of o(v). Determine w(-6).
5
Let x(c) be the second derivative of -5*c**4/12 - 79*c**3/6 + 10*c**2 - 2974*c. What is x(-16)?
4
Let i(a) be the second derivative of -a**5/20 - 5*a**4/12 + a**3/2 - 7*a**2/2 + a - 46. Determine i(-7).
70
Suppose -56*l + 0 + 183 + 41 = 0. Let p(d) = 13*d - 17. Calculate p(l).
35
Let h(r) = -r**3 - r**2 + 3*r + 5. Suppose 5*v = -5*k, -5*k - 6 = -0*v + 2*v. Let j be h(k). Let t(g) = 21*g**j - 2 + 4 - 1. What is t(1)?
22
Let k(z) = 3*z**3 - z**2 - z + 1. Let g(n) = -n**3 - 9*n**2 - 11*n - 18. Let y be g(-8). Suppose -6 = -2*u, 19 = y*s - 2*s + 5*u. What is k(s)?
2
Let y(u) = 23*u**3 - 22*u**2 + 4*u - 1. Let q(a) = 10*a**3 - 10*a**2 + 2*a - 1. Let r(o) = 7*q(o) - 3*y(o). Determine r(3).
-7
Suppose 5*f + 0*f = 15. Let w(r) be the first derivative of 2*r**3/3 + 3*r**2/2 - 5*r + 14. Let o(y) be the first derivative of w(y). Determine o(f).
15
Suppose 0 = a + m - 7, 3*m - 35 = -9*a + 4*a. Let f be (a - 3) + (-3 - 1). Suppose f = 3*z - 15*z - 96. Let b(y) = -y**2 - 7*y + 8. Calculate b(z).
0
Let m(b) be the third derivative of -b**5/30 - b**3/6 + 922*b**2. Let t be 3*((-16)/12 + 2). Give m(t).
-9
Suppose -17*r + 737 = -6*r. Let i = 65 - r. Let z(s) = -2*s**2 + 292 - s - 292 - 2*s. Give z(i).
-2
Let q(v) = 2*v - 9. Let i be (-84)/28 + 3/((-6)/(-20)). Suppose 0 = 6*p - 29 - i. What is q(p)?
3
Let n be (-2 + 2)*5/(-10). Suppose 2*c + q + 7 = n, 2*c + 10 = -c - q. Let o(s) = -s**3 - s**2 + 2. Calculate o(c).
20
Let c(u) = 5*u**2 + 4*u + 1. Let g be (-14)/(-3)*936/(-1092). What is c(g)?
65
Let r(c) = -31*c - 135. Let j = 24358 + -24363. Calculate r(j).
20
Suppose -w - 221 = 5*u, -44 - 92 = 4*u - 6*w. Let d(t) = 2*t + 78. Calculate d(u).
-8
Let z(w) = 16*w - 16. Let s(i) = 3*i - 3. Let f(t) = -11*s(t) + 2*z(t). Let r be 2/(-13)*94705/(-2914). Determine f(r).
-4
Let v(q) = -q**2 + 14*q - 27. Suppose 141*f - 322 = 95*f. Calculate v(f).
22
Suppose -36*s + 32 = 29*s - 57*s. Let k(a) = a**3 + 0*a**3 + 3*a**2 + 4 - 11*a**2 + 4*a + a. What is k(s)?
-40
Let h = 20 - 10. Suppose h = 2*b + 4. Suppose 4*o + 24 = -4*s, s + 3*o + b = -o. Let y(f) = -f**2 - 6*f - 3. Calculate y(s).
-10
Let n(m) be the first derivative of -m**3/3 + 2*m**2 + 3. Let l = 160 - 152. Suppose 19*r + l = 21*r. Determine n(r).
0
Let r(v) = 2*v**3 - 33*v**2 + 29*
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-96)*(100*1)/(-2).
-25
(0*7/119)/8
0
What is (9*5/24)/(7*13/1456)?
30
What is the value of -1*(-1)/(-3)*((-22)/(-11))/(-2)?
1/3
Calculate (-2)/2*((-2)/(-27))/(2/(-3)).
1/9
18*10*(-30)/675
-8
Evaluate (-18)/(-36)*5*2.
5
Calculate 18/10*(-620)/248*(-20)/(-6).
-15
What is (-40)/(-9)*(-108)/(-90)?
16/3
Evaluate (-6)/((-2)/(56/(-196))).
-6/7
What is (-24)/(-24)*828/(-36)?
-23
What is the value of ((-3)/((-12)/(-8)))/(94/(-47))*-17?
-17
Evaluate 21*(-15)/27*(162/30)/(-9).
7
Evaluate -25*(-10)/(-50)*5.
-25
What is the value of 2/7*42/(-9)*15/(-160)?
1/8
((440/(-330))/((-8)/6))/2
1/2
What is the value of (-4)/20*2*-7*(-39)/78?
-7/5
What is -12*(-1*3/8)/((-51)/170)?
-15
What is the value of (-84)/20*((-5)/(-12))/((-1)/8)?
14
1*2/((2/(-11))/(-1))
11
What is 8456/(-1510)*2/8?
-7/5
Calculate 10/(-4)*((-261)/180)/(-29).
-1/8
Evaluate ((-11)/858)/(8/(-26))*24.
1
Evaluate (((-1920)/(-55))/(-32))/((-8)/2).
3/11
Evaluate (-3)/1*(-3333)/303.
33
What is 55/66*-18*(-4)/30?
2
(66/9856*16)/(3*1/(-2))
-1/14
Calculate (-600)/3900*52/16.
-1/2
Calculate ((-13115)/(-1118))/(-61)*1/((-5)/(-6)).
-3/13
Calculate 168/7*(-3)/9*1.
-8
What is the value of (4/60*456/19)/((-2)/(-5))?
4
(-1200)/630*(-14)/24
10/9
What is the value of (-57)/15*-2*13/26*-5?
-19
What is (2630/(-3156))/(5/2)?
-1/3
What is the value of 18*6/432*(-24)/(-99)*-3?
-2/11
Calculate (-39)/((-117819)/(-424))*(-2)/(8/3).
2/19
((-6)/216*-9)/(3/900*-5)
-15
(-14*(-10)/35)/(8*5/100)
10
0/(((-7)/(-28))/(2/(-8)))
0
Evaluate (-4*44/8)/((-14)/(-7)).
-11
What is the value of (-65*20/(-780))/((-2)/((-12)/(-2)))?
-5
784/(-294)*18/(-12)
4
Evaluate ((-30)/(-7))/(996/3486).
15
Evaluate ((-2)/(-2))/(21*(-25)/(-13125)).
25
What is 0/(-1*((-1)/(-1))/((-46)/(-46)))?
0
Calculate ((-6)/(-3))/(78/(-6)).
-2/13
Evaluate (-30)/9*3/4150*-10.
2/83
Evaluate 6/(-2)*(-24)/8.
9
1/(112/(-63))*4*(-4)/3
3
((-1260)/(-20))/(-9)*1
-7
What is the value of (17*2)/(-46*(-41)/943)?
17
Calculate 7/63*(-26)/(-78).
1/27
What is (1*3)/(((-4251)/1090)/((-1)/(-5)))?
-2/13
24/10*(-115)/(-23)
12
Evaluate (3/(-87))/(-2*14/56).
2/29
1*1/(-1)*2434/37727
-2/31
Evaluate (2/(-2))/(((-5)/1)/25*7).
5/7
Evaluate ((-1)/(22/(-22)))/6.
1/6
What is the value of ((-30)/(-30))/((-5)/(-75))?
15
24*(36/(-600)*-10)/((-9)/1)
-8/5
26/(-12)*552/92*(-16)/(-8)
-26
What is -3*68/(-3366)*6?
4/11
Evaluate ((-56)/2100*10)/(72/225).
-5/6
Calculate ((-77)/(-28))/(3*(-4)/48).
-11
Evaluate (-15)/(-84)*2/(-10)*319/319.
-1/28
What is the value of ((-36)/27)/((-102)/(-2295))?
-30
What is the value of (35/15)/(-7)*(-5)/((-15)/4)?
-4/9
((-100)/8)/(48/(-96))
25
Calculate -7*((-2)/5)/(2/(-5)).
-7
Calculate (24/(-20))/(((24/30)/(-1))/2).
3
Evaluate 4/(-8)*-3*(-1178)/(-93).
19
Evaluate (22/110)/((-198)/(-300))*27/15.
6/11
(-2)/((1776/168)/(-37))
7
Evaluate (28*15/4200)/((-2)/(-340)).
17
What is ((1*-2)/(206/1030))/(2/2)?
-10
Evaluate 3/(-12)*(-9)/(-12)*(-368)/276.
1/4
Evaluate 5/(-50)*-10*4.
4
What is the value of ((-270)/(-9))/(-15)*(-6)/(-4)?
-3
1/((((-12)/(-18))/(-1))/((-2)/(-1)))
-3
Calculate ((-5)/5)/(-6)*(-180)/27.
-10/9
((20/(-100))/((-2)/90))/((-3)/2)
-6
What is ((-10)/5)/(-1*(-5)/(20/(-76)))?
2/19
What is 4/(-20)*0*12/192?
0
What is the value of (2/(-140)*-4)/((-122)/4880)?
-16/7
((-6)/(-8))/((-45)/80*80/(-100))
5/3
Evaluate -10*13*24/260.
-12
Calculate (-1)/(8/(64/12))*(-66)/(-286).
-2/13
Evaluate (4335/30)/(-17)*1/(-1).
17/2
Calculate ((26/(-39))/(-2))/(5/(-60)).
-4
What is (-42)/(-315)*-5*(-9)/6?
1
6/15*15/(-30)
-1/5
What is the value of (-9*506/(-990))/((6/(-10))/(-3))?
23
What is the value of (8/60*-5*(-21)/(-182))/4?
-1/52
(976/854)/(8/126)
18
Evaluate 1*((-55800)/(-45))/40.
31
Calculate 9/(-216)*4/(-2)*2.
1/6
Calculate 72/(-252)*-1*14/2.
2
What is the value of (108/(-1485))/((-8)/44)?
2/5
(((-112)/21)/(-8))/((102/(-108))/17)
-12
What is the value of (-62)/(-155)*5*(-1)/(2/20)?
-20
What is 60/(30/(-10))*4/(40/5)?
-10
Calculate (455/1820)/(2/(-240)).
-30
Calculate -2*(-15)/(-48)*(-6)/60.
1/16
Calculate -1*(-4*6/(-48))/(-1)*8.
4
What is the value of (36/70)/((-25)/(-175))?
18/5
((3/57)/((-25)/25))/((-1)/2)
2/19
What is 3/((-45)/100*2)*228/(-76)?
10
What is (8/(-10))/(79/(-45030)*19)?
24
Calculate (255/(-3060))/((-1)/30)*-2.
-5
What is the value of (-1*(-48)/832)/(3/8)?
2/13
What is 2142/918*5/28?
5/12
((-200)/(-15900))/((-5)/15)
-2/53
Evaluate 15*((-182)/(-26))/(-7).
-15
((-2)/(-216))/((-133)/(-798))
1/18
What is the value of (96/(-160))/(2/(-2)*8/40)?
3
Evaluate (19/(-95)*-1)/2.
1/10
Calculate (288/45)/(8*3/60).
16
What is ((-4)/7)/(4086/1589)?
-2/9
What is the value
|
{
"pile_set_name": "DM Mathematics"
}
|
e? (a) -1/5 (b) m (c) o
b
Suppose k - 5 - 4 = 0. Let r be (k/(-3))/(33/2). Let u = -1 - -5. What is the third smallest value in u, -5, r?
u
Let l = -199 + 189. What is the third biggest value in l, -2, -3?
l
Let s(f) = f**2 - 3*f + 3. Let t be s(2). Suppose 14 + t = 5*l. Let u = -12.84 + 13.34. What is the third smallest value in u, -1, l?
l
Let s = 17 - 27. Let w = s + 30. Let m = w + -21. Which is the second biggest value? (a) -2 (b) 3 (c) m
c
Let f = -6.09 - -2.09. Let d = -3 - -8. What is the third biggest value in 0, f, d?
f
Let n be 16/6 + -15 + 8 - -4. Which is the second smallest value? (a) 5 (b) -93/2 (c) n
c
Suppose 0 = -3*a + 9, -5*k + 2*a = 2 - 6. What is the third biggest value in k, 0, 2/29?
0
Let f = 98/93 + -12/31. What is the second biggest value in 2/7, -0.1, f?
2/7
Let a = -96 - -100. Let j = 8.6 + -10. Let t = 1 + j. What is the biggest value in t, 0.3, a?
a
Let b = -0.034 + 0.444. Let o = b + -0.11. What is the third biggest value in -6/7, 1/3, o, 0.1?
0.1
Let f = 631.06 + -631. Which is the biggest value? (a) 2/3 (b) -2/13 (c) -1 (d) f
a
Let z = 8102 + -8105. Let h = -17/56 - -3/56. Which is the second biggest value? (a) -2 (b) z (c) -0.2 (d) h
d
Let u be (-1 - (-1 + 0)) + (-24)/(-6). Let b be (10/180)/(2 + (-9)/u). What is the second biggest value in 3, 5, -1/2, b?
3
Let v be -19 + 13 + 96/15. Which is the third smallest value? (a) v (b) -71 (c) -0.3
a
Let a = 18317 + -18314.5. Let l = 4.8 + -0.8. What is the fourth biggest value in 0.2, a, 2, l?
0.2
Let j = -0.244 - 0.156. Let o(n) = -n**3 - 15*n**2 + n + 15. Let m be o(-15). What is the fourth biggest value in 2, m, 0.3, j?
j
Let x(t) = 3*t**3 + 3*t**2 + 4*t + 2. Let k be x(-1). Let i = -16 - -15.6. Let y = -0.4 + 0.2. Which is the third smallest value? (a) k (b) y (c) i
b
Let j = 41 - 85/2. Suppose 5*l + 2*l = 7. What is the smallest value in 0.03, l, j?
j
Let y = 92.201 - -0.799. Which is the second smallest value? (a) y (b) -5 (c) 0.4
c
Let w = 1.028 - -3.972. Which is the fourth biggest value? (a) -2 (b) -1/8 (c) w (d) 0.049
a
Let h = 1.98 - 2.8. Let l = -0.22 - h. What is the third biggest value in -1, 2/11, l?
-1
Let v be 112/(-28) - 14/(-4). What is the third biggest value in 37/5, v, 4?
v
Let x be ((-5)/4)/(651/112). Let q = 3/62 + x. Which is the second smallest value? (a) q (b) -4/7 (c) 4 (d) 1/9
a
Let y = -0.0276 - 2.9724. Which is the third biggest value? (a) y (b) 5 (c) 6 (d) -0.4
d
Let m = 43 - 49. Let w = -0.01 + -6.99. Let v = -6 - w. Which is the third biggest value? (a) m (b) v (c) 0
a
Let t = 4.3 - -51.7. Let l = -58 + t. Which is the biggest value? (a) 2 (b) -7 (c) l
a
Let q be 18/(-28) - 2/(-4). Let n(w) = -108*w - 4963. Let d be n(-46). What is the second biggest value in d, 0.03, q, 3?
3
Let d = -103 + 3401/33. Which is the second smallest value? (a) 3 (b) d (c) 2
c
Let m = -1.006 - -1.506. Which is the fourth biggest value? (a) 4 (b) -3/2 (c) m (d) 0.02
b
Let s = 59 - 56. Let u be (9/(-3))/(3/(-4)). Let d = -3 + u. Which is the second smallest value? (a) s (b) 4 (c) d
a
Let i = 71 - 71.6. Let o = i + -0.6. What is the biggest value in 4, -4/9, o?
4
Let d = -0.6 - 21.4. Let m = 21.7 + d. Which is the biggest value? (a) -0.4 (b) m (c) 1
c
Let d(u) = 8*u**2 - 6*u + 2. Let o be d(2). Let k be o/(-8) - 2*4/(-4). What is the smallest value in 5, 2/9, k?
k
Let q be -5 - (1 + 1 + 52/(-12)). Which is the smallest value? (a) 2/9 (b) -4 (c) -0.4 (d) q
b
Let z = -0.722 - -0.822. What is the biggest value in z, -2, 1/2, 5?
5
Suppose 18 = 3*u + 2*m, -4*u + 435*m + 24 = 432*m. Which is the biggest value? (a) 0 (b) 5 (c) 0.4 (d) u
d
Let c = -4.4 - -4. Let q(l) = -l**2 - 18*l. Let t be q(-18). Suppose -3*x + 0 - 6 = t. What is the second smallest value in c, x, -0.5?
-0.5
Let j be 14/4 + (9 - 5) + -8. What is the second smallest value in -1, 1/10, j?
j
Suppose 0 = -3*d - 2*p - p - 15, 0 = -2*d + 4*p + 8. Let m be 4/(-8)*1/((-2)/8). Which is the second smallest value? (a) d (b) m (c) -2/19
c
Let m be 92/24 + (-2 - 10/5). What is the fourth smallest value in -1/4, -0.5, m, 22?
22
Let s = -0.51 - -0.01. Let y be 1488/8 - (0 + 3). Let p be 3 + (-2)/(126/y). Which is the smallest value? (a) p (b) s (c) 0.1
b
Let z = -643 + 640. Which is the fourth smallest value? (a) z (b) 0.3 (c) -4 (d) 3
d
Let q = -0.0882 + 0.4882. Let t = 3 + -2.99. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
g. Let p be j(-1). Sort p, b, -3 in descending order.
b, -3, p
Suppose g + 3 = -m, g + 0*m - 5 = m. Let n = -2 + g. Sort n, 2, -5.
-5, n, 2
Let g = 1 - -4. Let l be 0 + 1 + 3 + -3. Let u(a) = a**3 + 9*a**2 + a + 6. Let s be u(-9). Sort g, s, l in decreasing order.
g, l, s
Suppose -2*a - 2*a + 24 = 0. Suppose 8 = -a*k + 2*k. Let w be 0*2/(-4) - 1. Sort k, w, 3 in ascending order.
k, w, 3
Suppose l - 24 = -3*l. Suppose 9 = 5*o - l. Put -2, o, 2 in decreasing order.
o, 2, -2
Suppose z - 1 = 0, a + 3*z = -4*a - 22. Sort a, 4, -2 in descending order.
4, -2, a
Let d = 24 + -22. Sort -0.4, -0.6, d.
-0.6, -0.4, d
Let s be (-24)/10 - (-8 + 6). Put s, 0, -0.2 in ascending order.
s, -0.2, 0
Suppose l + 3*t + 3 = 0, 3 + 1 = -4*t. Suppose g = -3 - l. Let z be (5/(-3))/((-1)/g). Sort z, 0, -0.1 in increasing order.
z, -0.1, 0
Let t = 4 - 1. Suppose 32 = 4*z + 3*m, -7*z + t*z + 8 = -3*m. Put z, 0, 3 in decreasing order.
z, 3, 0
Let d = 4 + -6. Sort 1, d, 5 in descending order.
5, 1, d
Let l(j) = j**3 + 4*j**2 - 4*j. Let f be l(-5). Put f, 3, 4 in decreasing order.
4, 3, f
Let p = -6 - -10. Suppose p*k = -5*u, 4*u + 0*u + 3*k = -1. Put 1, u, 2 in decreasing order.
2, 1, u
Let y(z) = -z**2 + 6*z + 7. Let i(t) = -t**3 - 11*t**2 + t + 9. Let p be i(-11). Let b be 3*p/(-3) + 5. Let s be y(b). Put -5, -3, s in descending order.
s, -3, -5
Let j = -3.1 + 0.1. Let n = 1 - 1. Let q = -3/83 + 421/166. Sort n, q, j in decreasing order.
q, n, j
Suppose 3*v - 12 = -v. Let h(z) = -z**3 - 4*z**2 - 3. Let i be h(-4). Sort v, -6, i in increasing order.
-6, i, v
Let t(w) = 3*w**2 + 10*w - 7. Let n(g) = -4*g**2 - 11*g + 7. Let f(o) = -2*n(o) - 3*t(o). Let j be f(-9). Put 3, j, -3 in descending order.
3, j, -3
Let p = 1.6 + -1.7. Put -2, -2/21, p in ascending order.
-2, p, -2/21
Let h(w) = -w + 2. Let d be h(2). Let r(i) = -3*i - 12. Let z be r(-3). Sort 2/19, z, d in decreasing order.
2/19, d, z
Let w(d) = 4*d**3 + 2*d**2 - 2*d. Let m be w(1). Sort m, 0, -4 in descending order.
m, 0, -4
Let t = 0.03 - 0.43. Let f = 3 + -4. Put f, -4/5, t in decreasing order.
t, -4/5, f
Suppose -x + 5 = -5*p + 34, 2*x - 5*p = -33. Put x, 5, -3 in descending order.
5, -3, x
Let c = -8 - -8.99. Let f = c - -0.01. Let d = f + 1. Sort -4, 5, d in ascending order.
-4, d, 5
Let r(n) = 2*n**2 - 2 + n**3 - n**2 - 2*n + n**2 + 0*n**2. Let q be r(-2). Sort 3, q, 4.
q, 3, 4
Suppose l = -6 + 22. Suppose -l = 4*u - 4. Suppose 3*j + 4*p + 18 = 0, -6 = -2*j - j + 4*p. Put 1, j, u in descending order.
1, j, u
Let o = 41 + -122/3. Put o, 0.5, 0 in decreasing order.
0.5, o, 0
Let r = -159 + 156. Put 3/5, -5, r in increasing order.
-5, r, 3/5
Suppose -4*w = -x + 8, -w + 2 = -3*x + 4. Let a(d) = d - 1. Let m be a(w). Let n be (2/(-6))/(1/1). Sort m, 1/4, n in descending order.
1/4, n, m
Let z = -6 + 13/2. Let p = -1.03 + 0.03. Put -4, p, z in decreasing order.
z, p, -4
Suppose 0 = -4*g + 8, 2 = 4*n + 4*g - 22. Sort -1, n, 6.
-1, n, 6
Let y = 0 + 0.3. Let b = y - 0.3. Let n = 0 + 3. Put b, n, -2/11 in decreasing order.
n, b, -2/11
Let y be 3 + (-14)/(-1 + -1). Suppose -y = 2*r - 0*r. Sort 2, -2, r in ascending order.
r, -2, 2
Let d = -0.77 - 0.03. Let w = d + 1.8. Sort w, 2, 5.
w, 2, 5
Let c = 17.3 - 7.3. Let p = 5 + -5.5. Sort c, 2/13, p in ascending order.
p, 2/13, c
Let q(h) = -h**3 + 6*h**2 + 7*h - 4. Let r be q(7). Let f be r*1*(-2)/(-4). Put f, 2, 0 in increasing order.
f, 0, 2
Let h = -169 - -166. Put 5, 9, h, 1 in increasing order.
h, 1, 5, 9
Let n(z) = z**2 - 11*z + 12. Let y be n(10). Suppose 3*u - 5*u = -2*d + 36, -4*u - 58 = 3*d. Put y, 4, u in ascending order.
u, y, 4
Suppose -3*i - 20 = i. Put i, 5, -2 in decreasing order.
5, -2, i
Let k be (-2 - -5)*(-13)/39. Sort 5, k, -4, -5 in ascending order.
-5, -4, k, 5
Let z be ((-6)/(-16))/((-1)/2). Put 2, z, -0.4 in decreasing order.
2, -0.4, z
Let y(l) be the second derivative of l**3/2 + 5*l**2 - 7*l. Let n be y(-3). Put 3, n, -5 in descending order.
3, n, -5
Let d(c) = -2*c + 1. Let n be d(3). Let a = 190 + -2468/13. Put a, -3, n in decreasing order.
a, -3, n
Let w = 5.93 - 5.53. Let k = -0.5 + 3.5. Put k, 0.2, w in decreasing order.
k, w, 0.2
Let j be ((-5)/(-10))/(1/4). Suppose -4*b + 4*h - 20 = 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*sqrt(171) + sqrt(171) - sqrt(171))**2 + 3.
3*sqrt(19) + 1542
Simplify (sqrt(11) + sqrt(396)*-3 - -3*sqrt(176))**2.
275
Simplify sqrt(51)/(sqrt(12)*1 - sqrt(12) - sqrt(3)).
-sqrt(17)
Simplify (3 + (-2 + sqrt(50))**2*-4)*-1.
-80*sqrt(2) + 213
Simplify (-1 + (sqrt(21) - (sqrt(21) + 1*sqrt(21)))/sqrt(3)*-3)**2.
-6*sqrt(7) + 64
Simplify 2*sqrt(13) + 2 + 2*(sqrt(208))**2.
2*sqrt(13) + 418
Simplify ((sqrt(85)*1 - sqrt(85))*-6)/(2*sqrt(180))*1.
0
Simplify (sqrt(637) + -3*sqrt(637) - (1 + sqrt(1872)))**2.
52*sqrt(13) + 8789
Simplify (-4 + sqrt(2736))*4*-3.
-144*sqrt(19) + 48
Simplify ((-2*sqrt(25)*5)/sqrt(5))**2.
500
Simplify (sqrt(88)*1*1 - sqrt(88))/sqrt(8).
0
Simplify ((sqrt(153) - (sqrt(153)*1 - sqrt(153)))*4)/(1*sqrt(9)*6) + 5.
2*sqrt(17)/3 + 5
Simplify (4 + 2 + sqrt(304) + -1 + -5)**2.
304
Simplify (5 + -1*sqrt(5))**2 + (sqrt(20) + -2)**2.
-18*sqrt(5) + 54
Simplify (((3*sqrt(135) - sqrt(135)) + sqrt(135))/sqrt(9))/(-4*(2*sqrt(3) - sqrt(3))).
-3*sqrt(5)/4
Simplify ((sqrt(17) - (0 + sqrt(17)))*3 + 0)*-4.
0
Simplify ((sqrt(11) + 1*sqrt(176))**2 - (sqrt(11) - (-2*sqrt(11) + -2))) + (sqrt(44) + 1 - (5 + sqrt(44)/sqrt(4))).
-2*sqrt(11) + 269
Simplify (-5*-1*sqrt(136))/sqrt(8).
5*sqrt(17)
Simplify (sqrt(96) - (sqrt(96) - -2*sqrt(96)))/sqrt(3).
-8*sqrt(2)
Simplify (sqrt(70)/(sqrt(10) - (sqrt(20)/sqrt(2) + sqrt(10))) - 6*sqrt(63))**2.
2527
Simplify (sqrt(187)*-1*6 - sqrt(187))/(sqrt(44)/sqrt(4)*-2).
7*sqrt(17)/2
Simplify -5*sqrt(256)/(-1*sqrt(512)).
5*sqrt(2)/2
Simplify (3*sqrt(140))/(sqrt(112)*-2 + sqrt(7)).
-6*sqrt(5)/7
Simplify 1*-1*(-1 + sqrt(11)).
-sqrt(11) + 1
Simplify -2*sqrt(432)*4*-1.
96*sqrt(3)
Simplify (-2 + sqrt(13) + 2)**2 - (2 + sqrt(832) + sqrt(832)).
-16*sqrt(13) + 11
Simplify (1*sqrt(52)/sqrt(4) + (sqrt(78) - (sqrt(78) + sqrt(78)*-1))/sqrt(6))**2.
52
Simplify (sqrt(11) + (sqrt(11) + 0)*-3 - (0 + sqrt(11)*1)) + (sqrt(1100)*2)**2 + -1.
-3*sqrt(11) + 4399
Simplify ((sqrt(16) - sqrt(160)/sqrt(360))/((sqrt(72)/(sqrt(9) - sqrt(144)) - sqrt(8)) + sqrt(8)))**2.
25/2
Simplify -4*((sqrt(304) - sqrt(304)*-2) + -2)*-4.
-32 + 192*sqrt(19)
Simplify 5*((sqrt(1331) + -3 - sqrt(1331)) + sqrt(11) + sqrt(11))*5.
-75 + 50*sqrt(11)
Simplify (sqrt(343) + -5 - (sqrt(77)*1)/sqrt(11))**2.
-60*sqrt(7) + 277
Simplify -1 + ((-2*sqrt(272) - sqrt(272))*3*5)**2.
550799
Simplify 1*(-4*sqrt(176))**2.
2816
Simplify (sqrt(16)/sqrt(128)*3)**2.
9/8
Simplify sqrt(49)/(2*sqrt(112)).
sqrt(7)/8
Simplify (sqrt(448) + sqrt(448) + -4*sqrt(448) + 3 + 5)**2.
-256*sqrt(7) + 1856
Simplify 5*sqrt(38)/((sqrt(14)*1)/sqrt(7)).
5*sqrt(19)
Simplify sqrt(396) + sqrt(396) + -1 - sqrt(11) - -6*sqrt(396).
-1 + 47*sqrt(11)
Simplify (sqrt(72)/sqrt(4) + -4 + sqrt(72))**2.
-72*sqrt(2) + 178
Simplify (-1*-2*(sqrt(3) + sqrt(9)/sqrt(3)))**2.
48
Simplify 5*(sqrt(128) + sqrt(128) + 0).
80*sqrt(2)
Simplify (6*(sqrt(51) - sqrt(1275)))/(-1*sqrt(363)).
24*sqrt(17)/11
Simplify 1 + (sqrt(153) - (sqrt(153) + (sqrt(153) - sqrt(153)*2))*1)/(1*sqrt(144)).
1 + sqrt(17)/4
Simplify (-3 + (-2*(2 + sqrt(13)) - (sqrt(208)*-4 + sqrt(13))))**2.
-182*sqrt(13) + 2246
Simplify 4 + 4 + sqrt(108) + -2.
6 + 6*sqrt(3)
Simplify sqrt(1700) - -5*1*sqrt(1700).
60*sqrt(17)
Simplify (-1 + sqrt(77)/(sqrt(11) - (sqrt(11) - (2*sqrt(121) + sqrt(121) + sqrt(121))/sqrt(11) - sqrt(11)) - sqrt(11)))**2.
-sqrt(7)/2 + 23/16
Simplify sqrt(78)/(sqrt(36)/sqrt(6)*4).
sqrt(13)/4
Simplify (5 + sqrt(13) + (sqrt(13) + -5)*6 + sqrt(13))**2.
-400*sqrt(13) + 1457
Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - (1*sqrt(68) - sqrt(68))*-1))/sqrt(4).
3*sqrt(17)
Simplify 3*(sqrt(576)*-2)/sqrt(8).
-36*sqrt(2)
Simplify ((sqrt(72) + -1*sqrt(72))/sqrt(3))/sqrt(12).
0
Simplify (sqrt(156) + sqrt(156)*2)/sqrt(12) + (2 + sqrt(117))**2.
15*sqrt(13) + 121
Simplify sqrt(10)/(sqrt(20)/sqrt(4)) + -2*sqrt(4)/sqrt(2).
-sqrt(2)
Simplify (-5*sqrt(48)/sqrt(4))/(sqrt(64) + sqrt(64)*-1 + sqrt(64)).
-5*sqrt(3)/4
Simplify ((sqrt(28)/sqrt(7)*1)/sqrt(2)*-4)**2.
32
Simplify (3*sqrt(320))**2*2*2.
11520
Simplify (-4*sqrt(153)*-2)/(sqrt(81)*-2).
-4*sqrt(17)/3
Simplify -1*((5*(sqrt(98) + -1))**2 + 5).
-2480 + 350*sqrt(2)
Simplify -3 + sqrt(459)/sqrt(3).
-3 + 3*sqrt(17)
Simplify 4*sqrt(77)/(sqrt(175) + sqrt(7) + sqrt(7)).
4*sqrt(11)/7
Simplify (5*((sqrt(13) + 2 + sqrt(13))*5 - ((sqrt(117) + -2*sqrt(117) - sqrt(117))/sqrt(9) + sqrt(13))))**2.
5500*sqrt(13) + 41825
Simplify 5*(sqrt(5) - sqrt(25)/sqrt(5)) - (4*sqrt(5) + 1).
-4*sqrt(5) - 1
Simplify 2 + (5 + sqrt(7) + sqrt(175) + sqrt(7) + -3)**2.
|
{
"pile_set_name": "DM Mathematics"
}
|
-1). Suppose h + 0*h = z. Let u(m) = 8*m - 53. Let y(s) = -3*s + 18. Let a(v) = 4*u(v) + 11*y(v). What is a(h)?
-14
Let p(a) = 1. Let v(d) = 2*d + 11. Let u(l) = -2*p(l) + v(l). Give u(8).
25
Let x(r) = r**2 - 15*r + 20. Let f(u) = -2*u**3 + 24*u**2 + 2*u - 12. Let s be f(12). Give x(s).
-16
Suppose 2*w + 5*v - 110 = -2*w, -w - 2*v = -26. Suppose 5*k = 2*k - w. Let i = 8 + k. Let x(g) = -4*g. What is x(i)?
8
Suppose 3*y + 4 = 2*n, 8*y + 20 = 3*y. Let g(u) = 142*u - 42*u - 48*u + 5 - 49*u - 9. What is g(n)?
-16
Let a(x) = -3*x + 30. Let q be a(9). Suppose c + q*c - 2*n = -22, 4*n = 5*c + 26. Let p(i) = 4 - 8*i + 3*i + i**2 - 2*i**2. What is p(c)?
-2
Let m(s) be the third derivative of s**6/120 - 2*s**5/15 + 5*s**4/24 + s**3/6 - 47*s**2 + 1. Give m(6).
-41
Let b(r) = 4*r - 4. Suppose 15*z - 12*z = 15, 3*w + 6 = -3*z. Give b(w).
-32
Let p be (-1)/(-4) - 1684/16. Let y be (-52)/10 + (-21)/p. Let l(h) = -2*h**2 + 6*h - 2. Let t(f) = f**2. Let s(j) = -l(j) - 3*t(j). What is s(y)?
7
Let c(o) = -o + 5. Let l(t) = -3*t + 16. Let m(w) = -14*c(w) + 4*l(w). Determine m(-5).
-16
Let t(m) = -m**3 - 6*m**2 - m - 5. Let v(i) = -5*i + 2. Let s be (-1)/4 + 60/(-16). Let u be v(s). Suppose -8 = 5*n + u. Give t(n).
1
Let f(m) be the second derivative of m**5/20 + 5*m**4/12 + m**3/2 + 5*m**2 - 55*m. Calculate f(-5).
-5
Let f = 271 + -269. Let i(t) = t**3 - 2*t**2 - 3*t + 3. What is i(f)?
-3
Let b(n) be the third derivative of -n**6/120 + n**5/20 + n**4/8 - n**3/6 - n**2. Let a(t) = t**3 + 3*t**2 - 3*t - 5. Let p be a(-3). Calculate b(p).
-5
Suppose -2*f - 185 = -49. Let l = f + 59. Let y(q) = -q**2 - 8*q + 10. Give y(l).
1
Let r(v) = -23*v + 6. Let d(p) = -41*p + 11. Let u(y) = -4*d(y) + 7*r(y). Give u(-1).
-5
Let s(o) be the third derivative of -o**5/12 + o**4/4 + o**3 + 27*o**2. Let c(h) = 6*h**2 - 6*h - 7. Let p(k) = -4*c(k) - 5*s(k). Calculate p(7).
5
Let x(s) = 2*s - s - 11*s + 39 + 122*s**2 - 113*s**2 - 15 - s**3. What is x(8)?
8
Suppose 13*q - 14*q - 6 = 0. Let s(p) = -p**3 - 5*p**2 + 6*p - 13. What is s(q)?
-13
Let b be (2/2)/((-4)/(-12)). Let h(j) = j**2 - 5 + 4*j + b + 1 + 6. Determine h(-4).
5
Let t(y) = -9*y**2 + 2*y + 1. Let n(g) = -g**2. Let u = -23 + 29. Let h(i) = u*n(i) - t(i). What is h(-1)?
4
Let m(d) = d**3 - 5*d**2 + 3*d. Let q(x) = -6 - 13*x + 28 + 16*x. Let t be q(-6). Give m(t).
-4
Let a be 4 + -4 + ((-6)/(-1))/3. Let w(x) = -451*x + 451*x + 4*x**3 + 1 - a*x**2. What is w(-1)?
-5
Let z(h) = 4*h - 735 + 5*h + 775 - h**2. What is z(12)?
4
Suppose -15*d + 21*d = -18. Let k(w) = 3*w - 1. Calculate k(d).
-10
Let j(m) = 3*m - 16. Let p(a) = -4*a**2 + 17*a - 10. Let w be p(3). Calculate j(w).
-1
Let l(o) = o**3 + 14*o**2 + 11*o - 24. Let g be (-1)/((159/39 + -4)/1). What is l(g)?
2
Let o = 104 - 106. Let b(y) = 7*y**2 - 2. What is b(o)?
26
Let v(o) = -o + 2. Let d(n) = n - 3. Let g(x) = 7*d(x) + 6*v(x). Calculate g(9).
0
Let z(f) = -f**2 - 33*f - 58. Let h be z(-2). Let a(i) = 2*i**2 - 8*i + 9. Determine a(h).
9
Let f(w) = 1359 + 5*w**2 - w**2 - 1361. Determine f(-2).
14
Let y(p) = 9*p**2 - 2*p - 5. Let h(r) be the second derivative of -5*r**4/6 + r**3/2 + 3*r**2 - 4*r. Let k(g) = 4*h(g) + 5*y(g). Determine k(1).
6
Suppose 0 = 2*i - 4. Let z(j) = -2*j**i - 4 - 3*j - 4*j + j**2. Determine z(-6).
2
Suppose -41*f + 38*f = -30. Let p(q) = -3*q**2 + 14*q**2 + 2*q - f*q**2 - 5 + 7*q. Determine p(-8).
-13
Suppose 18*l - 366 = 79*l. Let u(i) be the first derivative of -i**3/3 - 4*i**2 - 7*i + 1. Determine u(l).
5
Let w = -48 - -97. Suppose -7*d - w = -0*d. Let p(v) be the first derivative of -v**3/3 - 9*v**2/2 - 9*v + 1. Determine p(d).
5
Let v(o) = -o**2 + 8*o - 5. Let u(n) = n**2 + 2*n + 2. Let p be u(1). Determine v(p).
10
Let w(q) be the first derivative of -q**4/4 - 7*q**3/3 - 9*q**2/2 - 9*q - 1. Let o(h) = -2*h**2 + 10*h + 6. Let i be o(6). Give w(
|
{
"pile_set_name": "DM Mathematics"
}
|
ound g to 3 decimal places.
-0.093
Let o be 2 + -3 - (-15 - 1). Let r(g) = -g + 0 - 4 - o + 0*g. Let y be r(-8). What is y rounded to the nearest ten?
-10
Let p = -11830165188 + 11830165164.299999436. Let g = p + 23.7. Round g to seven decimal places.
-0.0000006
Let m = 7.4 - 2.8. Let x = m - 2.71. Round x to one dp.
1.9
Let q = 211.8379 + -212. Round q to two decimal places.
-0.16
Suppose 4*p - 2*f - 4 = 0, 4*p - 5*p + 3*f = 9. Suppose -p*r = -r - 44. Round r to the nearest ten.
20
Let c = -331 + 331.003266. Round c to four dps.
0.0033
Let b = 203771 - -20629. What is b rounded to the nearest one hundred thousand?
200000
Let v = 110 + -108.6. Let a = 1.735 - v. What is a rounded to 2 decimal places?
0.34
Let h = -34 - -33.924. What is h rounded to 1 dp?
-0.1
Let o = -3618972 - 9441028. What is o rounded to the nearest one million?
-13000000
Let x = -267303.9410108 + 267304. Let u = 6.9410218 + x. Let m = u - 7. What is m rounded to 5 decimal places?
0.00001
Let s(r) = -513*r**3 - 8*r**2 - 15*r. Suppose -4*j + 5*h = -5, 0 = -7*j + 3*j - 4*h - 40. Let c be s(j). Round c to the nearest 10000.
60000
Let g = -3.409 + 3.1216. Let m = g + 0.247. What is m rounded to 2 decimal places?
-0.04
Let y(a) be the third derivative of a**5/60 + 5*a**4/24 + a**3 - 16*a**2. Let s be y(-3). Round s to the nearest one million.
0
Suppose 9 = -2*y - 1. Let l = y - -10. Suppose -2*m + l*j = -7587784 - 16412236, -m - 2*j = -11999992. Round m to the nearest 1000000.
12000000
Let u = -1010 - -1009.8642. What is u rounded to three dps?
-0.136
Let l be (-1)/(8/(-6)) + (-238)/(-56). Let f be (-10)/35 + l/((-70)/(-51940004)). What is f rounded to the nearest one million?
4000000
Suppose -10*x = -9*x + 4, 3*x + 1980 = 3*u. Let l(w) = 1325*w + 1. Let v be l(1). Let o = v - u. What is o rounded to the nearest 100?
700
Let u = 2986806 - 1686806. What is u rounded to the nearest 1000000?
1000000
Let x = -4176 - -4181.034. Round x to the nearest integer.
5
Let r = -13 - -3. Let x = 14 + r. Suppose -3*u - u = -20, -x*o = 3*u - 5600015. Round o to the nearest one million.
1000000
Let l = -0.32 + -0.1. Let s = l - -0.420009. What is s rounded to five dps?
0.00001
Let h = -312 - -310.935. Let z = 0.9 + h. Round z to two dps.
-0.17
Let g(j) = j**3 - 6*j**2 + 7*j - 6. Let i be g(5). Suppose 5*x = -3*s - 82, i*s - 4*x + 86 = x. Let n be ((-6)/s)/(2/16). Round n to 0 dps.
2
Suppose 2*u + 35 = 183. Let x be (25 + -6825)*(-1 - u). Round x to the nearest one hundred thousand.
500000
Suppose 603369735 = 18*p - 206270265. Round p to the nearest one million.
45000000
Let q(j) = 12067*j. Let x be q(10). What is x rounded to the nearest ten thousand?
120000
Let r(w) = -w**2 + 4*w + 3. Let k be r(6). Let v be (-36*2)/(k/(-30)). Round v to the nearest 10.
-240
Suppose 84*b + 2421100 = 73*b. What is b rounded to the nearest 10000?
-220000
Let c = 18846707.00029 - 18846785. Let l = 78 + c. Round l to five decimal places.
0.00029
Let a = -5627 - -5597.81. Let d = 30.3 - 0.3. Let c = d + a. Round c to one dp.
0.8
Let y = 867 - 867.1327. What is y rounded to two decimal places?
-0.13
Let u = -41.2 - 1.8. Let q = -43.00036 - u. Round q to 4 decimal places.
-0.0004
Let h = 3146.99993881 + -3147. What is h rounded to five dps?
-0.00006
Suppose 4*j + 21 - 5 = 0. Let y(u) = 35999*u - 4. Let l be y(j). Round l to the nearest 10000.
-140000
Let q = -56.7555 - -0.7195. Let c = q + 56. Round c to two dps.
-0.04
Let o = 1863.99999239 - 1864. Round o to 7 dps.
-0.0000076
Let z = -0.06 + 0.05999572. What is z rounded to six dps?
-0.000004
Suppose -4*t + 4*k + 19 = -k, 2 = -4*t - 2*k. Let g = t - 3. Let z(a) = -242499*a**2 + 3*a + 2. Let h be z(g). What is h rounded to the nearest 100000?
-1000000
Let m = -5 - -7.46. Let j = -3.87 + m. What is j rounded to one decimal place?
-1.4
Let g = 10 - 9.7. Let d = g + 9.7. Let x = 10.0000005 - d. Round x to six dps.
0.000001
Let u = -236 + 251.25. What is u rounded to 0 dps?
15
Let f = -1 - -5. Let r be f/6*18/(-12). Let m be (-5 + -20)/(r/(-220)). What is m rounded to the nearest one thousand?
-6000
Let y = -1022565.999834 - -1022609. Let j = y - 43. Round j to five dps.
0.00017
Suppose 0 = 5*u - 5, -19*h + 18*h = -2*u - 57029998. Round h to the nearest one million.
57000000
Suppose 0 = 4*n + 5*g + 8, -8 = 4*n - 0*n - 3*g. Let j(f) = 14*f**2 - 4*f - 7. Let h be j(n). Round h to the nearest 10.
60
Let s = -29.048 - -29. Let y = -100.948 - s. Let d = y - -94. Round d to the nearest integer.
-7
Let k = -1202 + 4923. Let h = k - 3726.9946. Let w = -6 - h. What is w rounded to three dps?
-0.005
Let i be -3 + (0 - -2) + -1 - -52. Suppose i - 250 = -4*r. Round r to the nearest integer.
50
Let s = -34847088.99000061 + 34847088. Let r = 0.99 + s. What is r rounded to seven dps?
-0.0000006
Let m = -34.9 + 35. Let d = -1 + m. Round d to 1 dp.
-0.9
Let k(y) = -576*y**3 - 31*y**2 - 27*y - 106. Let n be k(-19). Round n to the nearest one
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the units digit of y?
6
Let r(j) = j**3 - 14*j**2 + 5*j + 1. What is the units digit of r(14)?
1
Suppose n = 5*r - n + 45, 3*r = 5*n - 46. Let w(y) = y**2 + 8*y + 9. What is the units digit of w(r)?
2
Let u(l) = l - 6. Let p be u(10). Suppose p*m + 52 = 3*n, 4*n - 52 = 2*m - m. What is the units digit of n?
2
Suppose -5*y + 110 = -7*i + 2*i, 0 = -4*y - 3*i + 53. What is the tens digit of y?
1
Let l = -135 - -235. What is the tens digit of l?
0
Suppose c = -4*c + 415. What is the units digit of c?
3
Let z be 10*1 + (1 - -1). Suppose 0 = 2*q - 4*m + z, 0 = 3*q - m - 5 - 2. What is the units digit of q?
4
Let g be ((-4)/(-3))/(2/(-24)). Let b be (3/(-4))/(4/g). Suppose 21 = x + b. What is the units digit of x?
8
Let z(k) = k**3 + 14*k**2 - k. Let n be z(-14). Suppose -o = -3 - n. What is the units digit of o?
7
Let z(s) = -3*s**3 - s**2 + s + 1. What is the units digit of z(-1)?
2
Let a(r) = r**3 - r**2 - 3*r + 6. Let v(c) = c**3 - 4*c + 7. Let x(f) = -5*a(f) + 4*v(f). What is the tens digit of x(3)?
1
Let s be 6/27 - 48/(-27). Let a be s + -2 + 1 - -2. Let g = a - -1. What is the units digit of g?
4
Let v(x) = -x**2. Let p be v(0). Let g(u) = u**2 - 8 + 20 + 0*u**3 + u**3. What is the units digit of g(p)?
2
Let y(p) = p**3 + 7*p**2 + 6*p + 1. Let l be y(-4). Suppose -2*o + l = 3*o. What is the units digit of o?
5
Let b be 0/(-1) + 3 + -1. Let d(o) = 2*o**3 + o**2 - 2*o. What is the units digit of d(b)?
6
Let r = 290 - 131. What is the hundreds digit of r?
1
What is the hundreds digit of 238 + 3/(-1) + 5?
2
Let x(i) = 8*i + 1. What is the units digit of x(4)?
3
Let a(j) = j**2 + 2*j - 3. Let f be a(2). Suppose m - 29 + 1 = -3*x, 0 = f*m + 5*x - 110. What is the tens digit of m?
1
Suppose 4*o = 4*v - 28, 7 = 2*v + 1. What is the units digit of 1/4 - 23/o?
6
Let k = 10 + -5. What is the units digit of ((-1)/(-3))/(k/60)?
4
Let g(r) = r**3 - 3*r**2 - 5*r + 6. Let u be g(4). Suppose 2*l - 4*p = 20 - 4, u*p = 5*l - 24. What is the units digit of l?
4
Let p be (-84)/(-8)*4/(-3). Let o = p - -18. What is the units digit of o?
4
What is the tens digit of (6/(-10))/((-6)/450)?
4
What is the units digit of (-3)/(-9) - (-344)/12?
9
What is the tens digit of 4/(-10) + 531/15?
3
Let d = 8 - 8. Suppose -2*m + 7*m - u - 135 = d, -3*u - 13 = -m. Let q = m + -18. What is the units digit of q?
0
Suppose 5*k + s - 601 = 0, 5*k = 3*k - s + 238. What is the units digit of k?
1
Suppose -314 = -2*c - 5*f, 2*c - f - 306 = -2*f. What is the hundreds digit of c?
1
Suppose -9*p - 591 = -12*p. What is the hundreds digit of p?
1
Let g(m) = 2*m**2 + 7*m + 3. What is the units digit of g(7)?
0
Let s(n) = 68*n + 3. What is the tens digit of s(1)?
7
Let o(t) = -3*t**2 - 3*t + 3. Let l(p) = -2*p**2 - 4*p + 4. Let r(g) = 4*l(g) - 5*o(g). Let a be r(1). Let w = a + 3. What is the units digit of w?
0
Let a(r) = -9*r - 8. What is the units digit of a(-6)?
6
Let k(d) = -d**3 - 11*d**2 - 11*d - 1. Let i be 13*2*(-2)/2. Let a = -36 - i. What is the units digit of k(a)?
9
Suppose -2*b + 5*b = 291. What is the units digit of b?
7
Suppose -n - 1 - 3 = 0. Let x(m) be the second derivative of -m**5/20 - m**4/3 + 5*m**2/2 + 2*m. What is the units digit of x(n)?
5
Suppose 6*v = v - 10. Let o(n) be the first derivative of 2*n**3/3 + n**2 + n - 2. What is the units digit of o(v)?
5
Suppose 3*b = 4*x - 581, -5*x - 3*b - 2*b = -735. What is the hundreds digit of x?
1
Suppose 5*x + 11 = 4*z + 4*x, -4 = 4*z - 4*x. Suppose 8*q - 3*q - 3*n = 81, 0 = -z*q + 5*n + 70. What is the tens digit of q?
1
Suppose -4*p - 560 = -2*l, 4*p - 4*l = -340 - 228. What is the units digit of (6/9)/((-4)/p)?
3
Suppose c - 11 = -2*c + 5*o, -c + 5*o - 3 = 0. What is the units digit of c?
7
Suppose 2*g + 0*g - 34 = 0. Suppose -g = -0*i - i. What is the units digit of i?
7
Suppose -2*x + 4 = 2*h, -3*h + 0*x + 2*x + 11 = 0. Suppose 0 = 3*t + 5*o - 32, -4*t + h*o + 42 = t. What is the units digit of t?
9
What is the tens digit of 2 + -19*(-4 + -3 + 2)?
9
Suppose -4*z = -62 + 10. What is the units digit of z?
3
Let d = -11 + 15. What is the units digit of d/((-8)/5)*-2?
5
What is the hundreds digit of 0 - 1 - 18*14/(-2)?
1
Let b = -3 - -5. Suppose -b*t - t = 24. What is the units digit of 9/(-2)*t/6?
6
Let q be (-1 - -1)/(-3 + 4). Suppose -6 + q = -x. What is the units digit of x?
6
Suppose 2*j - 7 = n, 2*j - 1 - 10 = 5*n. What is the units digit of 1 + 40/(j + 1)?
1
Suppose -2*a = 3*a - 10. What is the units digit of a?
2
Let k = -2 - -2. Suppose -7*j + 2*j - 10 = k. What is the units digit of (21/(-6))/(1/j)?
7
Let i = -35 + 96. What is the tens digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
in the form s*n + y*n**2 + p and give y.
-16
Express 12 - 5 + 3*j**4 + 38*j**2 + 19*j**2 - 31*j**2 - 2*j**4 in the form s + d*j + g*j**3 + b*j**4 + n*j**2 and give n.
26
Rearrange 48*a + 22*a**3 - 25*a + 6*a**3 - 25*a - 2*a**2 to the form k*a + n + r*a**3 + f*a**2 and give k.
-2
Rearrange 10 - 2*x**3 + 4 + x**4 + 12 - 17 + x to d*x**3 + p + z*x**2 + l*x**4 + t*x and give p.
9
Express -47481 - 470*g + 47481 - 1403*g in the form z + a*g and give a.
-1873
Rearrange (-1200*d - 1843*d + 3518*d - 1287*d)*(2 - 2 + 2) to f*d + g and give f.
-1624
Express (-56*q**4 + 490*q**3 - 490*q**3)*(12 - 5 + 16 + 5) in the form r*q**3 + z*q**4 + b + m*q**2 + k*q and give z.
-1568
Express -35 + 2*n + 60 - 26 - 4*n**3 - 3*n**3 as a + o*n**2 + l*n + k*n**3 and give l.
2
Express -55*w**3 - 2 - 50*w**3 + 51*w**3 - w**2 in the form x*w**2 + p*w**3 + a + o*w and give x.
-1
Rearrange -386 - 3907*f**2 + 1954*f**2 + 1954*f**2 to the form b + v*f**2 + p*f and give b.
-386
Express 6*i - i + 3*i**2 - 3*i**3 - 7*i in the form k*i**2 + m*i + t + c*i**3 and give m.
-2
Express (-1 - 2 + 1)*(0*j + j - 3*j) - 2*j + 0*j + 4*j + (1 - 3 + 1)*(0*j + 101*j - 16 + 19) in the form v*j + n and give n.
-3
Rearrange -3*a**4 + 2 - 156*a**3 - 2*a**2 + 73*a**3 + 3*a**4 - 3 - a**4 to the form t*a**3 + s + p*a**4 + v*a + l*a**2 and give l.
-2
Express 0*k + 7*k - k + 6*k + 0*k as r + o*k and give r.
0
Rearrange 910*l**3 + 2 - 20*l**2 - 909*l**3 + l - 4 to the form h*l**3 + z*l + s + v*l**2 and give s.
-2
Rearrange -2*u - 1319*u**2 + 1314*u**2 + 6*u to the form b*u + w*u**2 + q and give w.
-5
Rearrange -34*k**2 + 325*k**2 + 97*k**2 - 6*k**2 to the form r*k + v*k**2 + t and give t.
0
Express -88*r**2 - 56*r**2 - 144*r**2 + 14*r**2 + 10*r**2 in the form c*r + n + f*r**2 and give f.
-264
Express (1 - 7 + 2)*(4 + 4 - 5)*(-6 + 2 + 1)*(-1 - l + 1)*(0*l + 2*l - 5*l) as w + k*l + b*l**2 and give b.
108
Rearrange -3*g**4 - 2*g**4 + 5073*g + 4*g**4 + 1 + 145*g**3 - 5072*g - g**4 to the form o*g + x*g**2 + z*g**3 + b + q*g**4 and give q.
-2
Express 32 + 44*p - 11 - 21 - p**2 as g*p**2 + r*p + d and give g.
-1
Rearrange (0 + 3*s + 6*s**3 - 3 + 1)*(-9 + 21 + 34) to n*s + x + q*s**2 + k*s**3 and give k.
276
Express (-7*f - 5*f + 4*f)*(0*f - 11*f + 0*f)*(-f - 2*f**2 + f) in the form r*f + j + w*f**4 + b*f**2 + s*f**3 and give w.
-176
Express 39665 - 39665 - 276*y as j + k*y and give k.
-276
Rearrange (-4*l**2 - 1 + 1 - 11*l**2)*(2*l - 1 + 1)*(-4 + 20 + 55) to the form t + x*l + r*l**2 + f*l**3 and give x.
0
Rearrange -52 + 5*h**2 + 2*h**3 - 33 + 84 - 2*h to the form f + i*h**3 + x*h**2 + r*h and give x.
5
Rearrange (3*m + 3*m - 2*m)*(-189 + 90 - 942) to the form a + z*m and give z.
-4164
Rearrange 13*d + 15*d + 51*d + 31*d to the form n + s*d and give s.
110
Rearrange (-5*j + 4*j + 2*j)*(0*j - 3*j - 18*j) + (-j**2 + 0*j**2 - 3*j**2)*(1 + 1 - 5) - 3*j + j**2 + 3*j to z + t*j + y*j**2 and give y.
-8
Express 4*q**2 - 14 - q**4 - 2*q**2 - q + 13 - 4*q**2 + 7*q**3 in the form h*q + o + s*q**3 + a*q**4 + w*q**2 and give w.
-2
Rearrange 3*c**3 - 22*c**2 + 3*c**2 - 558*c + 19*c**2 to the form w*c**2 + n + x*c + v*c**3 and give x.
-558
Rearrange -3*h**2 + 3*h**2 + 0*h**2 + 68*h**3 + 2*h**2 - h**2 to g*h**3 + d*h**2 + j*h + y and give g.
68
Rearrange -2 + 6*h**3 + 27*h**3 - 6*h**2 + 111*h**4 + 5*h**2 - 112*h**4 + 3*h**2 to q + a*h + p*h**4 + s*h**2 + w*h**3 and give p.
-1
Rearrange (-4 - 340*j**2 - 759*j + 2 + 342*j**2)*(-1 - 3 + 2) to q + d*j**2 + l*j and give d.
-4
Rearrange 474*w + 1315*w + 549*w - 355*w to s + o*w and give o.
1983
Express 157*d**2 - 6*d**3 - 17 - 5*d + 5*d - 157*d**2 in the form h*d**3 + s + m*d + o*d**2 and give h.
-6
Rearrange 8*n + 603 - 1188 + 598 + 0*n to c + i*n and give i.
8
Rearrange (37 + 37 + 11 + 6)*(0*a + 0*a + 3*a**4) to the form x*a + q*a**3 + f*a**2 + o*a**4 + p and give f.
0
Rearrange (1 - 722*p + 479*p + 486*p)*(-2 - 2 - 11) to j + q*p and give j.
-15
Rearrange 1 + 2*m + 28*m**3 - 83*m**3 + m**4 + 31*m**3 + 28*m**3 to w + d*m**4 + o*m**2 + u*m + s*m**3 and
|
{
"pile_set_name": "DM Mathematics"
}
|
ers picked without replacement from ttttyyyyyd?
1/20
Two letters picked without replacement from vvvcvvvvvvvccvvv. What is prob of picking 2 v?
13/20
Calculate prob of picking 1 v and 1 m when two letters picked without replacement from lolmvml.
2/21
Four letters picked without replacement from aaaaa. Give prob of picking 4 a.
1
Calculate prob of picking 2 i and 2 h when four letters picked without replacement from {f: 2, r: 2, i: 2, h: 8, x: 5, l: 1}.
28/4845
Two letters picked without replacement from nuuzgzng. Give prob of picking 1 g and 1 n.
1/7
Three letters picked without replacement from {e: 2, x: 4, b: 2, h: 3}. Give prob of picking 1 x and 2 h.
4/55
Three letters picked without replacement from rgyymergyyrgg. What is prob of picking 1 y, 1 r, and 1 e?
6/143
What is prob of picking 3 p and 1 q when four letters picked without replacement from {c: 5, x: 3, q: 2, h: 5, p: 4}?
2/969
Calculate prob of picking 4 s when four letters picked without replacement from ssssssssss.
1
Three letters picked without replacement from nrrrnnnn. What is prob of picking 3 r?
1/56
Calculate prob of picking 1 z and 1 i when two letters picked without replacement from sizxv.
1/10
Four letters picked without replacement from qevbvbvnbqrr. What is prob of picking 1 b, 2 v, and 1 q?
2/55
What is prob of picking 1 a, 1 s, and 1 t when three letters picked without replacement from osstlooaluaa?
3/110
Two letters picked without replacement from uqp. What is prob of picking 1 u and 1 q?
1/3
Three letters picked without replacement from aaacccaciccaaia. Give prob of picking 1 i and 2 a.
6/65
Three letters picked without replacement from {u: 3, o: 7, e: 5, i: 2}. Give prob of picking 3 e.
1/68
Two letters picked without replacement from {v: 1, b: 1, c: 9}. Give prob of picking 1 c and 1 b.
9/55
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {y: 1, q: 4, r: 6, k: 4}.
4/105
Four letters picked without replacement from {f: 2, r: 4, k: 10}. Give prob of picking 3 r and 1 k.
2/91
What is prob of picking 2 b when two letters picked without replacement from bbz?
1/3
Two letters picked without replacement from {s: 14, w: 4}. What is prob of picking 1 s and 1 w?
56/153
Two letters picked without replacement from jjvtttj. Give prob of picking 2 j.
1/7
Four letters picked without replacement from {c: 6, w: 2}. Give prob of picking 3 c and 1 w.
4/7
Two letters picked without replacement from {g: 5}. Give prob of picking 2 g.
1
Four letters picked without replacement from {c: 1, e: 1, s: 1, a: 2, y: 1, l: 1}. What is prob of picking 2 a, 1 s, and 1 c?
1/35
Two letters picked without replacement from {x: 1, v: 2, o: 1}. Give prob of picking 1 o and 1 x.
1/6
Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, u: 3}.
1/5
Two letters picked without replacement from tgtiwdiwwiwwwiw. Give prob of picking 1 i and 1 d.
4/105
Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 6, k: 4}.
8/15
What is prob of picking 2 u when two letters picked without replacement from {b: 6, u: 2}?
1/28
Calculate prob of picking 3 h and 1 b when four letters picked without replacement from berhhrrfhhrhffebhh.
7/306
Two letters picked without replacement from {y: 3, l: 7, i: 3, a: 7}. Give prob of picking 2 a.
21/190
Two letters picked without replacement from qqmq. Give prob of picking 2 q.
1/2
Calculate prob of picking 1 y, 1 l, and 1 d when three letters picked without replacement from dytttddtylyyyy.
9/182
Four letters picked without replacement from {o: 3, k: 6, x: 1, c: 2, q: 1}. What is prob of picking 1 k, 2 c, and 1 q?
6/715
Two letters picked without replacement from {a: 1, y: 1, f: 1, o: 2, g: 1, l: 2}. What is prob of picking 1 y and 1 f?
1/28
Three letters picked without replacement from {d: 1, e: 2, z: 1, k: 2, h: 1}. Give prob of picking 1 z and 2 k.
1/35
Calculate prob of picking 2 y when two letters picked without replacement from {w: 1, y: 6, o: 5, v: 2, e: 1}.
1/7
What is prob of picking 1 w and 3 u when four letters picked without replacement from {w: 10, u: 4}?
40/1001
Two letters picked without replacement from {t: 2, b: 4, y: 2, e: 1, x: 1}. Give prob of picking 1 x and 1 e.
1/45
Two letters picked without replacement from yhhyyxxtthyythxythx. What is prob of picking 1 y and 1 x?
8/57
What is prob of picking 1 f and 2 u when three letters picked without replacement from ufwwfwfwwfwuwuwuw?
3/85
What is prob of picking 1 p and 3 g when four letters picked without replacement from ppppppgppppggpp?
4/455
Four letters picked without replacement from {z: 17, u: 1}. What is prob of picking 3 z and 1 u?
2/9
What is prob of picking 3 w when three letters picked without replacement from dddddowdwdzdwdddddog?
1/1140
Two letters picked without replacement from {x: 7, z: 2, q: 8, d: 1}. What is prob of picking 2 z?
1/153
Two letters picked without replacement from zzzzzzzzzzzzzbzzzzz. Give prob of picking 2 z.
17/19
What is prob of picking 3 m when three letters picked without replacement from {m: 9, i: 5}?
3/13
Calculate prob of picking 3 o when three letters picked without replacement from okkoooo.
2/7
Four letters picked without replacement from {s: 6, t: 3, c: 3, r: 5}. Give prob of picking 1 t, 1 s, and 2 c.
27/1190
Three letters picked without replacement from {u: 7, c: 4, v: 1, q: 6}. Give prob of picking 2 q and 1 v.
5/272
Two letters picked without replacement from {z: 8, u: 1, g: 1, x: 2, y: 3, h: 1}. Give prob of picking 1 g and 1 h.
1/120
Two letters picked without replacement from ooxtoxtttxxxoo. Give prob of picking 2 x.
10/91
What is prob of picking 2 y and 1 u when three letters picked without replacement from unyuuuuuu?
0
Three letters picked without replacement from {a: 4, b: 1, r: 2}. What is prob of picking 1 a and 2 r?
4/35
What is prob of picking 4 e when four letters picked without replacement from {e: 6, d: 12}?
1/204
Four letters picked without replacement from wwmmwwmwww. Give prob of picking 3 m and 1 w.
1/30
What is prob of picking 1 m and 2 p when three letters picked without replacement from {k: 1, p: 2, u: 1, f: 1, m: 1, t: 2}?
1/56
Four letters picked without replacement from {m: 2, z: 1, e: 1, x: 1, l: 1, h: 1}. What is prob of picking 1 e, 1 z, 1 x, and 1 h?
1/35
Two letters picked without replacement from yymmymymmm. What is prob of picking 2 y?
2/15
What is prob of picking 1 b, 1 f, and 1 p when three letters picked without replacement from phrbhrkbrfbfhffrhbb?
20/969
Three letters picked without replacement from awdwdaawdwaaadw. What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
z(o). Factor b(w).
2*w*(w - 1)
Let u(c) be the third derivative of -c**6/1080 + c**4/72 - c**3/3 - 3*c**2. Let w(f) be the first derivative of u(f). Factor w(l).
-(l - 1)*(l + 1)/3
Let h(x) = -16*x**2 + 16*x + 4. Let n(g) = g**2 + g - 1. Let v(j) = -h(j) + 4*n(j). Suppose v(l) = 0. What is l?
-2/5, 1
Let f = -315 + 319. Factor -3/5*o**3 + 3/5*o**f + 0*o**2 + 0*o + 0.
3*o**3*(o - 1)/5
Let i = -62380 + 5926042/95. Let w = -4/19 - i. What is m in 6/5*m**5 + 2*m**2 - w*m**3 - 2*m**4 + 0 - 4/5*m = 0?
-1, 0, 2/3, 1
Let x be ((-2)/22)/(44/(-242)). Let -x + f - 1/2*f**2 = 0. Calculate f.
1
Suppose -4*k + 9*k = -10. Let u be k - (-7 - 3/(-1)). Suppose 0 - 2/9*o**4 + 0*o - 2/9*o**u + 4/9*o**3 = 0. What is o?
0, 1
Let d = 108/7 + -1390/91. Factor 0*n + 0*n**2 + 0 + 2/13*n**3 + d*n**4.
2*n**3*(n + 1)/13
Let s = 1 - -4. Factor -b**5 + b**4 + 7*b**s + 9*b**4 + 2*b**3 - 2*b**2.
2*b**2*(b + 1)**2*(3*b - 1)
Suppose 4*z - 6 = 2*z. Let j be (-2)/8 - z/(-4). Determine c, given that 0*c**2 + j*c + 0 - 1/2*c**3 = 0.
-1, 0, 1
Let v(g) be the first derivative of 4*g**3/15 - 16*g/5 - 11. Solve v(u) = 0.
-2, 2
Determine v, given that -v**3 + 1/2*v**4 + 2 - 3/2*v**2 + 2*v = 0.
-1, 2
Let i = 3 - -3. Let y = i + -3. Factor 8*u**2 + 2*u**2 - 2*u - 6*u**y - 2*u**4 - 4*u**2 + 4*u**4.
2*u*(u - 1)**3
Let y = -44 + 50. Let v(j) be the third derivative of 0*j**y + 0*j**4 + 0*j + 0 - 1/840*j**7 + 0*j**3 - j**2 + 1/240*j**5. Factor v(u).
-u**2*(u - 1)*(u + 1)/4
Let c(h) = 3*h**2 + 9*h + 4. Let v(w) = -16*w**2 + 0*w**2 - 1 - 45*w + w**2 - 18. Let u(d) = -11*c(d) - 2*v(d). Factor u(a).
-3*(a + 1)*(a + 2)
Let n(t) = 5*t**3 - 3*t**2 - 2*t. Let h(a) = -2*a**3 + a**2 + a. Let k = 28 + -14. Let r be k/8*(0 - -8). Let y(b) = r*h(b) + 6*n(b). Factor y(f).
2*f*(f - 1)**2
Let o = -10 + 14. Let b be o*(-2)/(-8)*2. Factor 2*n**3 - n**4 - 7*n - 2*n**2 + 6*n + b*n**4 + 1 - n**5.
-(n - 1)**3*(n + 1)**2
Find y such that 5*y**4 - 3*y**4 - 2*y**3 - 98*y**2 + 94*y**2 + y + y**5 + 2 = 0.
-2, -1, 1
Let y be (2/7)/((-2)/(-14)). Let o be 9/18*y/5. Let 2/5*n + o + 1/5*n**2 = 0. What is n?
-1
Determine l, given that -2/13*l**3 + 0 + 6/13*l**2 - 4/13*l = 0.
0, 1, 2
Suppose -141*p + 127*p = 0. Let -1/3*i**4 - i**5 + i**3 + 1/3*i**2 + 0 + p*i = 0. Calculate i.
-1, -1/3, 0, 1
Let d = -61 - -64. Suppose 4/5*h**2 - 2/5*h**d + 0*h + 0 = 0. Calculate h.
0, 2
Let n(s) = s**3 + 13*s**2 - s - 13. Let t be n(-13). Find v such that -1/2*v**2 + 1/2*v + t = 0.
0, 1
Let d(w) = -w**2 + 7*w - 10. Let i be d(4). Factor -k**4 - k**4 + i*k**2 + 2*k**2 - 2*k**2.
-2*k**2*(k - 1)*(k + 1)
Let j(u) be the third derivative of 0*u - 7/120*u**5 + 0 - 23/48*u**4 - 7*u**2 - 1/2*u**3. Factor j(w).
-(w + 3)*(7*w + 2)/2
Factor -1/7 - 1/7*s**2 - 2/7*s.
-(s + 1)**2/7
Suppose 5*i - 5 - 5 = -5*x, 0 = 4*i + 2*x - 12. Let b be (10/7)/(i/7). Solve -2*y**2 + 1/2*y**3 - 1 + b*y = 0 for y.
1, 2
Let u(s) be the third derivative of 1/140*s**7 + 0*s - 1/24*s**4 + 1/120*s**6 + 0 + 1/12*s**3 - 1/30*s**5 + 2*s**2. Find l, given that u(l) = 0.
-1, 1/3, 1
Let j(c) be the second derivative of -2/3*c**3 - 7/6*c**4 + 0*c**2 + 2*c + 0 - 3/10*c**5. Factor j(g).
-2*g*(g + 2)*(3*g + 1)
Let g(w) be the second derivative of -w**7/2520 - w**6/360 - w**5/120 + w**4/4 - 4*w. Let h(v) be the third derivative of g(v). Let h(f) = 0. Calculate f.
-1
Suppose 6 - 3 = r. Let z be r/((-3)/6*-3). Factor 0 + 2/9*m**z - 2/9*m.
2*m*(m - 1)/9
Factor -8/3*z**3 + 64/3 - 32*z - 20*z**2.
-4*(z + 4)**2*(2*z - 1)/3
Suppose 8 = 2*w + 2*w. Suppose w*x - 32 = -2*x. Determine r so that 0 - x + 2*r**2 + 3 + 2*r + 1 = 0.
-2, 1
Let r be (-3)/4 + 70/72 + 0. Let -4/9*o**3 + 2/9*o**2 - r + 4/9*o = 0. Calculate o.
-1, 1/2, 1
Let q(g) be the third derivative of 1/12*g**4 + 2/21*g**3 + 0 - 1/105*g**6 + 0*g - 1/42*g**5 + 4*g**2.
|
{
"pile_set_name": "DM Mathematics"
}
|
4785?
5477
What comes next: 1128, 2255, 3382?
4509
What comes next: -72, -117, -178, -261, -372, -517, -702, -933?
-1216
What is next in -68, -137, -198, -245, -272, -273, -242, -173?
-60
What comes next: 288, 570, 852, 1134, 1416?
1698
What is next in 30, 63, 114, 183, 270?
375
What is next in 4797, 4799, 4801, 4803?
4805
What is next in -6, -49, -120, -219, -346?
-501
What comes next: -1069, -1068, -1069, -1072, -1077, -1084?
-1093
What comes next: -50, -8, 56, 136, 226, 320?
412
What is next in -137, -133, -127, -119, -109?
-97
What is the next term in -347, -343, -339, -335, -331, -327?
-323
What comes next: 152, 148, 142, 134, 124, 112, 98?
82
What is next in 508, 499, 490, 481?
472
What is next in -20986, -20985, -20984, -20983?
-20982
What comes next: -61, -106, -149, -190, -229, -266, -301?
-334
What is the next term in 204, 210, 216, 222?
228
What is the next term in 220, 257, 294, 331, 368, 405?
442
What is the next term in 3185, 6373, 9561, 12749, 15937, 19125?
22313
What comes next: -209, -845, -1903, -3383, -5285, -7609?
-10355
What is next in -70, -21, 104, 341, 726, 1295?
2084
What is next in 453, 898, 1339, 1776, 2209, 2638, 3063?
3484
What is next in 258, 259, 260, 261, 262, 263?
264
What is next in 836, 835, 834, 833, 832, 831?
830
What is next in 3154, 3152, 3150, 3148?
3146
What is next in 1228, 1230, 1234, 1240?
1248
What is the next term in -27, -58, -79, -84, -67, -22, 57?
176
What is the next term in -309, -345, -393, -459, -549, -669?
-825
What is next in -51, -59, -67, -75, -83?
-91
What comes next: -13, -88, -281, -652, -1261?
-2168
What is the next term in -67, -92, -147, -244, -395?
-612
What is the next term in -47, -180, -409, -740, -1179, -1732?
-2405
What comes next: 3, 7, 11, 15?
19
What comes next: -73, -77, -83, -91, -101, -113, -127?
-143
What is next in 10, 3, -2, 1, 18, 55, 118?
213
What comes next: 525, 1049, 1573, 2097?
2621
What comes next: 4, 32, 86, 172, 296, 464, 682?
956
What is the next term in -17, -13, -9, -5, -1?
3
What is next in -3, 2, 11, 24, 41?
62
What is the next term in -3, 95, 261, 495, 797?
1167
What is next in 246, 279, 300, 303, 282, 231?
144
What comes next: -26, -84, -166, -260, -354, -436, -494, -516?
-490
What is next in 443, 441, 439, 437, 435, 433?
431
What is the next term in 42, 51, 64, 81, 102, 127, 156?
189
What comes next: -94, -101, -112, -127?
-146
What is the next term in 42, 208, 484, 870, 1366?
1972
What comes next: 69, 147, 277, 465, 717, 1039, 1437, 1917?
2485
What is the next term in -12, -37, -84, -159, -268, -417, -612?
-859
What is next in -146, -1080, -3608, -8528, -16638?
-28736
What is next in 5, -23, -71, -139?
-227
What is the next term in -477, -463, -451, -441, -433, -427, -423?
-421
What is next in -85, -338, -759, -1348?
-2105
What comes next: 82, 163, 244, 325?
406
What is the next term in 53, 58, 63, 68, 73, 78?
83
What comes next: 3, 2, 1?
0
What comes next: -67, -63, -59?
-55
What comes next: -41, -53, -71, -95, -125?
-161
What comes next: 6, 17, 36, 63, 98, 141?
192
What is next in 622, 623, 624, 625, 626, 627?
628
What is the next term in 60, 61, 52, 27, -20, -95?
-204
What comes next: 56, 58, 60?
62
What is next in 45, -62, -241, -492, -815, -1210?
-1677
What comes next: -1, 32, 111, 254, 479, 804, 1247, 1826?
2559
What is the next term in -382, -763, -1142, -1519, -1894?
-2267
What is the next term in 377, 759, 1141, 1523, 1905, 2287?
2669
What is the next term in 631, 619, 603, 583, 559, 531?
499
What is next in 157, 164, 159, 136, 89, 12, -101, -256?
-459
What is next in 102, 310, 656, 1140, 1762, 2522?
3420
What is next in 22, 20, 18, 16, 14, 12?
10
What is the next term in 659, 665, 671, 677?
683
What is the next term in 21, 5, -45, -147, -319?
-579
What is next in 2278, 2269, 2246, 2203, 2134, 2033, 1894?
1711
What comes next: -194, -380, -578, -794, -1034, -1304, -1610?
-1958
What is the next term in 47, 73, 107, 143, 175, 197, 203?
187
What is next in 8, 0, -30, -94, -204, -372, -610, -930?
-1344
What is next in -125, -128, -131?
-134
What is the next term in 1042, 2083, 3124?
4165
What comes next: 1001, 970, 883, 710, 421, -14, -625?
-1442
What is the next term in -1866, -3723, -5580, -7437?
-9294
What is next in 41, 47, 33, -7, -79, -189?
-343
What comes next: -10, 4, 32, 74, 130, 200?
284
What is next in 6973, 13947, 20921, 27895, 34869, 41843?
48817
What is the next term in -16, -70, -174, -340, -580, -906?
-1330
What is the next term in -42, -76, -110, -144, -178, -212?
-246
What is next in 45, 99, 153, 207, 261, 315?
369
What is the next term in 500, 1989, 4470, 7943?
12408
What comes next: 12, 95, 252, 483, 788?
1167
What comes next: -128, -246, -356, -452, -
|
{
"pile_set_name": "DM Mathematics"
}
|
ger: l or 3/7?
3/7
Suppose -5*p + 15 = b + 2*b, 3*p - 2*b + 10 = 0. Let n = -240987581/31 - -7774540. Let o = n + -747. Which is greater: p or o?
o
Let g(m) = 2*m + 40. Let k be -8*(0 - -2) + (-6 - -2). Let x be g(k). Which is greater: x or -1/87?
x
Let h(y) = 619*y**2 + 8*y. Let u be h(2). Is u not equal to 1?
True
Let n = 240617/7 + -205729999/5985. Let t be (-4)/16 - 326/(-1368). Let u = t - n. Is u > -1?
True
Let n be (1 + -1801*2/(-4))/((-12)/(-104)). Does 7811 = n?
False
Let d be (20/(-24315))/(24/(-18)). Which is greater: -1 or d?
d
Suppose 4*y - 16 = 0, 39*s - 37*s + 3*y - 16 = 0. Let o be (-12)/9*(-3)/s - -74. Which is bigger: o or 77?
77
Suppose 0 = -31*c + 287922 - 3373. Let n = 9959216/1085 - c. Do 1 and n have the same value?
False
Let s(z) = -3*z**3 - 32*z**2 - 13*z + 70. Let o be s(-10). Which is bigger: o or -3.115?
o
Suppose -2*c = -4, c + 3 = 5*f - 0*c. Let g = -6107/108 + 225/4. Is g bigger than f?
False
Let z(o) = 6*o**3 - 23*o**2 - 13*o + 47. Let l be z(6). Which is smaller: l or -1.6?
-1.6
Let f = 215.2133 + -215. Let q = 9.1833 - f. Let p = -0.03 - q. Which is bigger: p or -2?
-2
Let p = 301 - 558. Let q = -257.1 - p. Which is smaller: -117/2 or q?
-117/2
Suppose 3*t + 2*k = 10, -5*k + 15 + 10 = 0. Suppose t = 10*w + 7*w - 255. Is w less than or equal to 12?
False
Let i = 44 + -38. Let f be -4*1/i*-3. Suppose f*v + 3 = 5*y, -y + 4*v + 0*v = 3. Do y and 2/15 have the same value?
False
Let j(p) = 65*p - 4. Let o be j(2). Let y be o/26 + (-12)/(-78). Let x be (3 + -5)/(y - 3). Which is greater: x or -2/11?
-2/11
Let z = -0.80803 + 0.00803. Is z <= -216?
False
Let j be 1078/(-98) + -1 + (-5 - -1). Let m(s) = -s**3 - 9*s**2 - 8*s - 15. Let i be m(-8). Which is smaller: i or j?
j
Let q(j) = -2*j - 30. Let t be q(-14). Let n be (-30)/t*(-10)/(-50). Suppose -n*l + 10 = 2*v, -v - 17 = -7*l + 3*l. Is 2/19 greater than v?
True
Let d = 76619/55 + -1393. Is -32 less than d?
True
Suppose -y + 2 = 0, 3*y - 1348 = -5*h - 8067. Which is smaller: h or -2?
h
Let m = 211 - -44. Let t be (-3)/(m/220) + (4 - 2). Is -2 less than t?
True
Let c = -64 + 63.946. Let m = -13277 + 13278.946. Let h = c - m. Is 2/15 at most h?
False
Suppose -5*o - 3*a - 47 = 0, 2*a - 7*a = -5*o - 15. Let q be 6/(o - -4) + 8/46. Which is greater: q or -3?
q
Let m = -8086 + 72868/9. Which is bigger: m or -2?
m
Let a = 121 + -109. Let k = -10.1 + a. Let u = k - -0.1. Which is smaller: 12 or u?
u
Let y = -162 + 522. Suppose -4 = -358*p + y*p. Which is greater: 5 or p?
5
Let b = 1080.0523 - 1080. Let z = -21.0523 + b. Which is smaller: -2/13 or z?
z
Let c be (7/(-3 + 10))/((-15)/5 - -2). Which is smaller: c or -52/657?
c
Suppose -17972*m + 17968*m - 188 = 2616. Which is bigger: -702 or m?
m
Let p = -40317/5 - -3991573/495. Which is smaller: 0 or p?
0
Let q be 2 - (9/(-9) + (16 - 1)). Let c be (-4)/(-6) - 7*q/(-126). Is c greater than or equal to 4/3?
False
Let b be 60 - (-2)/4*6. Let q be ((-2)/(-18))/((-537)/b - -8). Are 1 and q nonequal?
True
Suppose 0 = -0*c + 2*c + 5*b - 2, 3*c + 4*b = 10. Let p be ((-8)/(-50))/((-930)/(-47275)) + -2. Is p greater than c?
True
Let z = -6457 + 6455. Which is greater: z or 649?
649
Suppose 55*i - 20 = 50*i. Let w be (26*i/12)/(2/(-9)). Which is bigger: -37 or w?
-37
Let o = 1/3704 - -7349/218536. Which is greater: -110 or o?
o
Suppose -10744 = 2*o + 4*d, -o - d - 1969 - 3407 = 0. Let l = -75353/14 - o. Which is bigger: -2 or l?
-2
Suppose -22*m + 6*m = -80. Let x(g) = g**3 + 9*g - 5*g - 21*g**2 + 55 - m - 6*g. Let q be x(21). Is q bigger than 8?
False
Let z = 4.2 + 303.8. Let y = 305 - z. Let x = 0.13 - 10.13. Is y less than x?
False
Suppose -3*u - 2*u + 2621 = 3*x, 0 = -4*x + 2*u + 3434. Are x and 863 unequal?
True
Let d(j) = -39*j - 3. Let s be d(-1). Let r(h) = -7 + 10*h + 6*h - 35*h + 13*h. Let y be r(-7). Which is greater: s or y?
s
Let x = -2 + 2. Suppose 204*u - 199*u - 150 = x. Is 31 at least as big as u?
True
Suppose 32*q + 100*q = 0. Is 1/14449 not equal to q?
True
Let p(j) = 3*j**2 + 42. Let x be p(-12). Let y = -473 + x. Which is smaller: -11 or y?
-11
Let w = 444.9177 - -0.0823. Let m = 454 - w. Which is smaller: -3 or m?
-3
Let i = -386 + 412. Suppose b = 5*o + 5, i*b - 25*b - 2*o + 10 = 0. Which is greater: b or 0?
0
Let f = 16166863/121 + -133609. Which is bigger: f or 1?
f
Let a(s) = -6*s - 87. Let y be a(-14). Are 126 and y non-equal?
True
Let k be -3 - (-1)/((-6)/48). Let d be ((-8)/2)/(4/(-3 - k)). Let h be 3/(9/6)*-2. Is d < h?
True
Let j = 28
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(325)*-2 - sqrt(325)) + 5)) + 3.
-2 + 10*sqrt(13)
Simplify 2 + ((4*-1*sqrt(187))/(sqrt(11) - -2*(sqrt(11) + -1*sqrt(11))))**2.
274
Simplify ((sqrt(275) - (sqrt(275) + sqrt(275) + 1 + -5) - (-5 + sqrt(275) + 1)) + -3 + -5*sqrt(275)*-1)**2.
150*sqrt(11) + 2500
Simplify (sqrt(21)/sqrt(3)*-3 - sqrt(7)) + sqrt(7) + 0 - sqrt(42)/(sqrt(6) + sqrt(726)*2).
-70*sqrt(7)/23
Simplify (-2*(4 + 1 + 4 + 1 + sqrt(153) + 3))**2.
312*sqrt(17) + 1288
Simplify ((4*((sqrt(144) + sqrt(144)*-2)/sqrt(6) + sqrt(24)))/((sqrt(132) + sqrt(132)*-1 + sqrt(132))/sqrt(11) - (sqrt(84) - sqrt(84)*-2)/sqrt(7)))**2.
0
Simplify (-5*sqrt(450))/(-5*sqrt(1089) - sqrt(1089)).
25*sqrt(2)/66
Simplify 1*(1*(-3 + sqrt(14)/sqrt(2) + 1 + -1 + 4))**2.
2*sqrt(7) + 8
Simplify 6*((-1*sqrt(19)*1 - (2*sqrt(190))/sqrt(10))*3)**2.
9234
Simplify ((sqrt(132)*1)/sqrt(11))/(sqrt(24)/(1*sqrt(4) + sqrt(4)) + sqrt(6)) - (4 + (sqrt(32))**2*-4 + -4).
2*sqrt(2)/3 + 128
Simplify (-2*-3*(5*(sqrt(108) + 1) - (4 + sqrt(108)*-1 + sqrt(108))))**2.
2160*sqrt(3) + 97236
Simplify -4*(sqrt(95)/(sqrt(720)*-3 + sqrt(720)) + -2 + sqrt(19) + (sqrt(19) - (sqrt(38)/sqrt(2) + 0)))**2.
-12355/144 + 46*sqrt(19)/3
Simplify ((sqrt(12) + sqrt(768)/sqrt(4) - sqrt(12))*-5)/((sqrt(196) - sqrt(196)*-1) + -2*sqrt(64)).
-10*sqrt(3)/3
Simplify ((sqrt(240)/sqrt(5) - sqrt(48))*3)/(-1*sqrt(270)/sqrt(5)).
0
Simplify (2*3*(sqrt(76) + -2) - (2 + (sqrt(76)*-1 - sqrt(76))/sqrt(4) + 2))**2.
-448*sqrt(19) + 3980
Simplify (-1*((sqrt(204) - sqrt(204)*-2)*2 + sqrt(204)))/((sqrt(768) + -2*sqrt(768))*4).
7*sqrt(17)/32
Simplify (-1*sqrt(1300) + 0 + ((sqrt(1300) + 0 + sqrt(1300) + sqrt(1300))**2 + sqrt(1300))*5)*4.
160*sqrt(13) + 234000
Simplify (sqrt(4455) + sqrt(4455)*-2 + sqrt(4455))/sqrt(5) - sqrt(121)/((sqrt(99)*-2)/sqrt(9)).
sqrt(11)/2
Simplify -3 + ((sqrt(352)*2)/sqrt(2)*4 + -4)**2.
-256*sqrt(11) + 11277
Simplify (sqrt(200) + 3 + 2 + sqrt(200) + 2 + 0)*4.
28 + 80*sqrt(2)
Simplify ((sqrt(128) + 1 + sqrt(128) + 5 + -4)*-2*6)**2.
9216*sqrt(2) + 74304
Simplify (-5 + (-2*sqrt(1300) - sqrt(1300)) - sqrt(39)/(sqrt(3) + 3*sqrt(6)/sqrt(2)))**2.
605*sqrt(13)/2 + 190733/16
Simplify 1 + (sqrt(27) + (sqrt(27) - (sqrt(27) + sqrt(27) + sqrt(432)*-4)))/(6*(sqrt(9) - sqrt(9)*-4)) + -5.
-4 + 8*sqrt(3)/15
Simplify ((-4 + (sqrt(1573)*3 - sqrt(1573)) + sqrt(1573))**2 - (-5 + (sqrt(26)/sqrt(2))**2 + sqrt(13))*-5)*6.
-1554*sqrt(13) + 85278
Simplify ((4*-2*sqrt(180)*5)/(2*sqrt(36)*-1 - sqrt(36)))**2.
8000/9
Simplify sqrt(35)/(sqrt(49)/(sqrt(7)*2 + sqrt(7))) - -5*(sqrt(1980)/sqrt(11) + sqrt(5)).
38*sqrt(5)
Simplify ((3*((2*sqrt(85) - sqrt(85))*1 + sqrt(85)))/(sqrt(25)/sqrt(20) + (sqrt(5) - sqrt(10)/sqrt(2))*6))**2.
2448
Simplify (sqrt(300)/(sqrt(70)/sqrt(7)))/(sqrt(216)/sqrt(9))*-4.
-2*sqrt(5)
Simplify (sqrt(72) + -3*(2 + sqrt(72))**2 + -3)*2 + -3.
-465 - 132*sqrt(2)
Simplify (3 + (sqrt(28) - sqrt(224)/(sqrt(8)*-1) - (1 + sqrt(28) + sqrt(1008))))**2.
-40*sqrt(7) + 704
Simplify -2*1*(sqrt(833) + 3 + (sqrt(833) - (sqrt(833) + 1)))**2*2.
-3348 - 112*sqrt(17)
Simplify ((sqrt(121) - sqrt(121)*-1 - sqrt(121))*3*-1)/(1*sqrt(176)*6).
-sqrt(11)/8
Simplify ((-3*sqrt(44))/sqrt(11))/sqrt(2) - (6*(sqrt(128)*1 + sqrt(128)))**2.
-18432 - 3*sqrt(2)
Simplify (-2*sqrt(325)*-3)**2 + 0 + 2*sqrt(13)*2.
4*sqrt(13) + 11700
Simplify 0 + 2*(-3 + (sqrt(224)/sqrt(4))/(sqrt(28)*-3)).
-6 - 2*sqrt(2)/3
Simplify (-6*(sqrt(250) - 3*sqrt(250))/sqrt(10))/((sqrt(220)/(sqrt(11)*3))/sqrt(4)).
36*sqrt(5)
Simplify -2*((-2 + sqrt(304)*-1*4*6)*-2)**2.
-1400864 - 3072*sqrt(19)
Simplify (-4 + (2*(sqrt(17) + sqrt(17) + sqrt(51)/sqrt(3)) - (sqrt(2057) + 0 + sqrt(2057))) + (sqrt(17) + -1 + (-1*sqrt(17) - sqrt(17)))*-2)**2.
56*sqrt(17) + 3336
Simplify 3 + 3*(sqrt(512) - (sqrt(512) + sqrt(512)*1)) + 0.
-48*sqrt(2) + 3
Simplify ((2*(sqrt(70) - 2*sqrt(70)))/(sqrt(250)*2) + (sqrt(168)*2)/(sqrt(96)*-2))**2.
343/100
Simplify -3 + sqrt(320) + ((sqrt(320) - (sqrt(320) + sqrt(320)*2 + sqrt(320)))**2 + sqrt(320))*-5 + (6*(sqrt(320) + 1*sqrt(320)) + 4)**2 + 2.
736*sqrt(5) + 31695
Simplify (sqrt(1470)*2*2)/((sqrt(490) - 2*sqrt(490)) + sqrt(1210)*2).
28*sqrt(3)/15
Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - sqrt(68)*-2*6))/sqrt(4) + sqrt(833) + (sqrt(833) + -1)*6.
-6 + 64*sqrt(17)
Simplify (-3 + sqrt(275) + -1 + sqrt(275) + sqrt(275) + 5 + sqrt(275))**2 - ((sqrt(110) + (sqrt(110) - sqrt(110)*-2))*1)/(sqrt(80)/sqrt(72)).
28*sqrt(11) + 4401
Simplify ((sqrt(833) + (sqrt(833) - (5 + (-2 + sqrt(833) - sqrt(833)))) + sqrt(833) - sqrt(833)) + (3 + sqrt(833) + sqrt(833))*-6)**
|
{
"pile_set_name": "DM Mathematics"
}
|
e 3*k = -y*d - 24 - 16, 4*d + 10 = 2*k for d.
-5
Let d be (-126)/15 - 6/10. Let c(n) = n**3 + 10*n**2 + 9*n + 6. Let g be c(d). Let u be (-39)/(-9) + (-2)/g. Solve 8*k + u = 4*k + 3*x, -3*k = 2*x + 3 for k.
-1
Let g = 26 + -26. Solve 2*m - 9 = 2*d - m, g = -5*d + 5*m - 15 for d.
0
Let m be (-11)/(-33)*(-2 + 11). Solve -5*s - 7 = -2*i, -i - 2*i + m = -5*s for i.
-4
Let c = 6 + -3. Let v(h) = 4*h**2 - 7*h + 8. Let q be v(3). Solve -16 = -4*y - c*r + 8, -5*r + q = y for y.
3
Let u = -36 + 88. Suppose 24 = 4*f - u. Solve -3*m + 30 = 2*m - 3*i, 5*i = -2*m - f for m.
3
Let a be 38/2 - (8 - 10). Solve -a = 2*s - 3*c, 4*s - 2*s = -2*c + 4 for s.
-3
Suppose 3*t = -t + 12. Suppose 2*i = -t*i + 20. Solve 4*n - 3*o + 26 = 0, -5*n + i = 5*o + 19 for n.
-5
Let x(y) = y + 2. Let r be x(-4). Let f = -2 - r. Let q be (-2)/6*(-4 + -56). Solve -b + 5*j + q = f, 49 = -4*b - 2*j + 19 for b.
-5
Let n(v) = -v**3 - v**2. Let a be n(-2). Let s = 25 + -24. Suppose m = -3*q + 24, 4*m + q = 4*q + 21. Solve m = 4*r - 3*l, -5 = -a*l - s for r.
3
Let p = -37 - -39. Solve 10 = 2*w, 3*l + 2*l + p*w + 15 = 0 for l.
-5
Let d be 0*(1/2 + 0). Suppose -23*n = -26*n + 12. Solve -v - 8 = -3*f - d*f, 2 = -n*v + 2*f for v.
1
Let j(i) = -i - 12. Let o(m) = -m - 11. Let n(p) = 3*j(p) - 4*o(p). Let y be n(0). Solve -h + 4*l + 10 = -y, 0 = 3*h - 4*l - 14 for h.
-2
Suppose -2*r + 13*r = 352. Solve -y + 5*o - 28 = -3, 4*y = 3*o - r for y.
-5
Suppose 3*d + 14 = 5*d - 5*h, d - 4 = h. Solve -d*b + u + 14 = 2*b, -5*b + 13 = u for b.
3
Suppose 0 = -z + 2*a + 2*a + 2, 5*z = 4*a + 10. Solve -8 = -z*n, -5*f - 4*n + 9*n - 35 = 0 for f.
-3
Suppose -5*b + 4*b = -4*t - 13, -3*b = -2*t - 19. Solve -4*d - b*w - 2 - 3 = 0, -d + 2*w = -15 for d.
5
Suppose 0 = -5*p + 2*i - 7, p + 2*p = -3*i. Let w = p + 4. Solve 4*m = -20, w*j + 7 = -2*m - 0*m for j.
1
Let m = -4 - -8. Solve 2*b + 4 = t, m*t + 8 = b - 4 for t.
-4
Suppose 0 = 4*q - 8*q. Solve 0 = -5*j + 4*t - 2, 2 = j - 2*t - q for j.
-2
Let j be (2 - 1)*(-2 - -5). Solve 6*b = 3*k + 2*b + 3, k = -j*b - 14 for k.
-5
Let l be 11 + -2 - (4 + 0). Solve l*n + 25 - 2 = r, 4*n = -r - 22 for r.
-2
Suppose 4*x - 21 = -1. Suppose m + 5*p - 14 = -m, x*m - 3*p = 4. Let y be (m/(-5))/((-4)/40). Solve -f = 2, -3*t = f + 4 + y for t.
-2
Let p = 35 - 33. Solve p*o + 4*u + 0 = -4, 4*o + 2 = -5*u for o.
2
Let c(b) = b**2 - b. Let j be c(3). Suppose 2*l = 5*l - j. Suppose n + l*n = 15. Solve -1 = m + 4, 5*f - 5*m = n for f.
-4
Suppose 16*q + 10 = 21*q. Solve q*o - 2*y = 8, 3*o = 4*o - 5*y - 16 for o.
1
Let a(g) = -4*g + g + 4*g - 2 + 6. Let q be a(6). Suppose 2*d - 5 - 5 = -5*k, 2*d = -q. Solve -3*r = 4*c + 7 - 3, -k*r = -5*c - 5 for c.
-1
Let x(k) = -k**2 + 3*k. Let r be x(3). Let m be (-1)/(r - 1/5). Solve m*n + 1 = -2*t + 3*t, -5*t + n = -5 for t.
1
Let m(k) = -k + 1. Let b(w) = 4*w - 7. Let q(a) = -b(a) - 5*m(a). Let p be q(3). Solve -p*l + 5 = 4*g, -l + 2*g - 4 = -3*l for l.
-3
Let a be 16 - ((-7)/21)/((-2)/(-12)). Solve 2*c + 4*j + a = 0, -c + 0*j = -j for c.
-3
Suppose 2*v - 4*x = 26, -4*v + 0*v = 4*x - 4. Suppose -3*s = -o, 3*s = 5*o - 10*o. Solve 2*l + 9 = -s*c - 3*c, -2*c + v*l = 6 for c.
-3
Let j(c) = -c**2 - 16*c + 6. Let m be j(-16). Solve d + 4*g = 3*d + 12, 0 = -d - 2*g + m for d.
0
Suppose -3*b + 19 - 4 = 0. Solve -2*r = 2*j - 18, -2*j + b*r - 14 = -4 for j.
5
Let c = -7 - -3. Let s be (2/c)/(2/20). Let j = 8 + s. Solve j*q - 4*q + 4*r = 13, -5*q = 3*r - 4 for q.
-1
Let d be 0 - 15/5 - -7. Solve 8 = -3*u + d*y + 23, -5*y = 0 for u.
5
Let q be (-1)/(((-11)/22)/(2 - 1)). Solve -i - 14 = q*w, 4*i + 2*w - 3*w + 11 = 0 for i.
-4
Suppose -g = 2*g - 12. Suppose 2*w - 7*w = 2*v + 5, 4*w - 3 = -3*v. Solve 5*b + 5*h = -v, -g*h + 15 = b + h for b.
-5
Let b = -36 - -19. Let t = 25 + b. Solve -a + 5*m + 12 = 0, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
Let b = -453 + 464. What is the remainder when q(2) is divided by b?
9
Suppose -6*a - 77 = -7*a - 2*t, -5*t - 308 = -4*a. Let f = 84 - 44. Calculate the remainder when a is divided by f.
37
Let x(d) = -d**2 + d - 6. Let u be x(-3). Let g(p) = -p**2 + 81. Let j be g(0). Calculate the remainder when 7 is divided by (27/j)/((-1)/u).
1
Suppose -u + 249 + 19 = 0. What is the remainder when u is divided by 30?
28
Let j(v) = v**3 + 9*v**2 + 2*v + 5. Suppose 4*y + 3*o = -9, -y + 5*o = -7 + 38. What is the remainder when j(y) is divided by 26?
23
Let m be (-15)/(-25) + 954/10. Let s = 127 - m. Calculate the remainder when 60 is divided by s.
29
Suppose -14 = -4*q + 46. Let f be (4 - (-3 - 5))/(0 + 2). What is the remainder when 2/f + ((-5190)/(-9))/10 is divided by q?
13
Let i be -9 - 16/(8/(-2)). What is the remainder when 97 is divided by (-2)/((1/(-5))/(i/(-2)))?
22
Let f(n) = -13*n**2 - 54*n + 112. Let m(l) = 8*l**2 + 36*l - 75. Let j(q) = -5*f(q) - 8*m(q). What is the remainder when j(16) is divided by 6?
2
Let h be (-1 + 2)/(-2)*-4. Let l be (-36)/((-1 + -1)/h). Calculate the remainder when 42 is divided by 6/(l/8 - 4).
6
Calculate the remainder when 36 is divided by ((-16)/6)/(7/(-21)).
4
Let m be 159/12 - 2/8. Let d(j) = j**2 - 11*j - 12. Suppose -51 + 210 = 3*g. Calculate the remainder when g is divided by d(m).
11
Suppose 12 = -0*l + 2*l. Suppose 18 = l*f - 3*f. Suppose 0 = d - f - 8. What is the remainder when 67 is divided by d?
11
Let z(q) = 2*q**2 - 26*q + 39. Calculate the remainder when 16 is divided by z(12).
1
Suppose 0 = -0*y - 6*y - 18. Let z(o) = -17*o - 1. Calculate the remainder when z(y) is divided by 14.
8
Suppose 314 = 1168*l - 1167*l. What is the remainder when l is divided by 21?
20
Suppose 7*m - 213 - 123 = 0. Suppose -m*v - 14 = -49*v. Calculate the remainder when 27 is divided by v.
13
Let u = 416 + -291. What is the remainder when u is divided by 22?
15
Suppose -w = -6*w + 20. Suppose 3*a - 10 = 4*c - 71, -w*a = 4*c - 40. Calculate the remainder when c is divided by 2.
1
Let n = 1906 - 467. What is the remainder when n is divided by 16?
15
Let v = 20 + -10. Let o = v + -8. Suppose 88 = 5*j - o. Calculate the remainder when 70 is divided by j.
16
Let z(x) = x**3 + 5*x**2 - 28*x + 9. Calculate the remainder when 62 is divided by z(-8).
21
Suppose 3*g = 18 + 132. Let v(l) = 14*l**3 - 3*l**2 - 2*l + 4. Suppose p = 4, 0 = 4*m - 0*m + 4*p - 20. What is the remainder when g is divided by v(m)?
11
Let n = 0 - -9. What is the remainder when n is divided by 4?
1
Let l(s) = s**3 + 7*s**2 + 3*s - 2. What is the remainder when l(-5) is divided by 11?
0
Suppose -5*d = -5*w + 215, 0 = -3*d + d - 6. Suppose -f - w = -5*f. Calculate the remainder when 58 is divided by f.
8
Let r = -931 - -1292. What is the remainder when r is divided by 41?
33
Suppose -j = -3*p + 5, p - 3*j = -0*p - 9. Let h = 9 - 6. What is the remainder when (4 + 1)*p/h is divided by 3?
2
Let c(k) = -3*k + 1. Let n(t) = 21*t - 395. Calculate the remainder when c(-4) is divided by n(19).
1
Suppose 16*y = 6*y + 180. Calculate the remainder when 322 is divided by y.
16
Let b be (1 - 0) + 0 + 5. Suppose -3*l - 5*j = -255, 5*l + 78 = b*l + 4*j. Let p = -64 + l. What is the remainder when 51 is divided by p?
25
Let l(z) = z**2 - 81*z - 411. Let u(v) = 29*v - 1. What is the remainder when l(87) is divided by u(1)?
27
Calculate the remainder when 24 is divided by (-2)/(-7) + 770/49.
8
Suppose 0*t - t = 6. Let r be (-4)/t*(-36)/(-8). Suppose -a - 3*v + 133 = r*a, 0 = -5*a - v + 169. What is the remainder when a is divided by 9?
7
Suppose -4*b = f - 30, 2*f = -f + 2*b + 76. Calculate the remainder when 99 is divided by f.
21
Let q = 108 - 93. Calculate the remainder when 29 is divided by q.
14
Let o = 0 - -86. Suppose 13*m - 265 = o. Calculate the remainder when 69 is divided by m.
15
Let g = -29 + 25. What is the remainder when 133/2 - (-2)/g is divided by 34?
32
Let h(d) = -d**2 + 23. Let f(a) = -72*a - 4. Let w be f(-1). Let b = w + -60. What is the remainder when h(0) is divided by b?
7
Let h(i) = i**3 + 5*i**2 - 7*i - 2. What is the remainder when 4 is divided by h(-6)?
0
Let r = -148 + 381. What is the remainder when r is divided by 59?
56
Suppose -6 = -5*p + 4. Suppose -p*m = -38 - 326. Calculate the remainder when m is divided by 46.
44
Let q(x) = x**3 - 16*x**2 - 18*x + 21. Let m be q(17). What is the remainder when 19 is divided by 30/m*(-4)/(-3)?
9
Calculate the remainder when (-3230)/(-5) - (-11 - -20) is divided by 11.
10
Let a = -90 + 165. What is the remainder when 291 is divided by a?
66
Let h = 77 + -9. Let j = 82 - h. What is the remainder when 180 is divided by j?
12
Suppose 5*r - r = 0. Suppose r = -v + 5*v - 36. Suppose 6*u - 3*u = 15. Calculate the remainder when v is divided by u.
4
Suppose -8 = q - 3*q. Suppose 309 = q*u + 109. What is the remainder when u is divided by 13?
11
Let b(u) be the second derivative of -u**5/10 - u**4/4 + 5*u**3/6 + 5*u**2/2 - 7*u. Calculate the remainder when 31 is divided by b(-3).
14
Let o be 16/64 + (-662)/(-8). Suppose -w + o = -0*w. Calculate the remainder when w is divided by (-2)/4 - 344/(-16).
20
Suppose -856*m + 44 = -852*m. Calculate the remainder when 17 is divided by m.
6
Suppose 0 = 3*p + p - 132. What is the remainder when ((-22)/p)/(1 + (-215)/213) is divided by 18?
17
Suppose 3*m - 2*m - 3 = 0. Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the nearest to -0.5? (a) -1/2 (b) -1/5 (c) 1/2 (d) w
a
Let o = -0.1 - -0.1. Suppose -2602 = 4*v - 2590. What is the closest to v in -0.1, -0.2, o?
-0.2
Suppose -6*l - 164*l = 39*l - 418. Let w = 3 + -1. What is the closest to w in -7, l, -0.1?
l
Let j(g) = 6*g**3 + 4*g**2 - 4*g - 4. Let o be j(-1). What is the closest to -1/10 in 4, o, -1, -3?
-1
Let t = 627 + -655.3. Let d = -28.8 - t. Let l = 2.7 - -0.3. Which is the nearest to l? (a) 0.5 (b) -5 (c) d
a
Suppose -8*v = 24 - 40. Let z = -184 + 183. Which is the closest to z? (a) v (b) -222 (c) 4/3
c
Let y be 1 - (-5)/7 - (-1014)/3549. What is the nearest to -1 in y, 43, -2?
-2
Let n = -15.822 + 16.1. Let x = -0.222 - n. Which is the closest to 0? (a) -0.04 (b) -0.3 (c) x
a
Let f = 0.4915 - 0.5915. What is the nearest to -2 in f, -1, -140/13?
-1
Let w = -10804 - -10804.2. Let s = 1 - 2. Let p be (-12)/(-10) + 0 + s. Which is the nearest to w? (a) 0.5 (b) p (c) 4
b
Let u be 0 - (-2 - -4 - (8/2 + 0)). What is the nearest to -1/3 in -2, -3, u, 0.04?
0.04
Let g = 274138 + -274138. Let s = 3524333/16485 - -32/3297. Let n = 213 - s. Which is the closest to g? (a) 3 (b) -2/7 (c) n
b
Let a = -0.03335 - 7.96665. What is the nearest to 1/2 in -3, 1, a?
1
Let n = 24.4 - 24. Let f = -2.792 + -0.208. Suppose 0 = -6*i + 5*i - 2, 5*d + 13 = -4*i. What is the closest to n in f, d, 4?
d
Let n = 0.1 - -4.9. Let y be 1*-1*0/23. Suppose y = -2*v - 4*k - 16, -3*v = k - 3*k - 8. Which is the closest to v? (a) n (b) 0 (c) -9
b
Let z(k) = -k**2 + 12*k + 12. Let s be z(11). Suppose 152 = -s*w + 60. Let i = -927/5 - -186. Which is the nearest to 0.1? (a) w (b) 0.1 (c) i
b
Let p = 42596/3 - 13979. Let u = p - 219. What is the nearest to 0.1 in -2/7, 7, u?
-2/7
Let i = 570 + -571. Let g = 12 + -11.1. Let y = g - 0.5. Which is the nearest to -0.2? (a) i (b) -2/11 (c) y
b
Let t = -34.66 - -34.93. What is the closest to 0.4 in 1/2, t, 14?
1/2
Let y = -0.23 + 0.03. Let v = -1 - -1. Let o be -44*57/190 - -13. What is the nearest to o in v, 2, y?
y
Let t = -3584.104 - -3584. What is the closest to 1 in t, 2, 1/3, -1?
1/3
Let o = 0.6 - 1.2. Let w = 468.89 + -464.89. What is the nearest to o in -6, w, 3?
3
Let k be (-644)/8*712/623. What is the closest to -1 in k, 0.4, -4?
0.4
Suppose -110 - 244 = -201*x + 249. Let z = -0.4 + 0.7. Which is the closest to 0? (a) x (b) 9 (c) z (d) 5
c
Let s(l) = l**2 + 47*l - 1056. Let z be s(-63). What is the closest to 3/2 in -4, z, 1/2, 5?
1/2
Let h be -24 - -31 - 4 - 3. Which is the nearest to h? (a) 4 (b) 43 (c) 2/5 (d) 3/7
c
Let m = 1 - 0.8. Let i = 4173129/62 + -67307. Let l = i + -1/31. Which is the closest to m? (a) -0.5 (b) l (c) -2.1
a
Let x = -0.0534 - -0.2534. Let i = -114 - -113. Which is the closest to i? (a) x (b) -2/5 (c) -1/7 (d) -5
b
Let v = -28 + 27. Let y = 1/315 - 694/315. Let h = y + 37/10. Which is the nearest to 0? (a) v (b) h (c) -2/9
c
Let y = 3.9 + -4. Let h = -37236 + 37235.9. What is the nearest to h in 0, 0.1, -1/2, y?
y
Let t = 227 + -224. Suppose -o + v + 2 + t = 0, 3*o + 3 = -3*v. Which is the nearest to -3? (a) 1/5 (b) -5 (c) o
b
Suppose 199 = 9*b + 172. Let u be ((-78)/18 + b)/10. What is the closest to -0.06 in -1, u, 2/11?
u
Let h = 108 + -60. Let l = -47.9 + h. What is the closest to -2 in l, -1, 1?
-1
Let s = -1018 - -1013. Let i = -0.251 + 4.251. What is the nearest to 2/7 in s, 0.5, i?
0.5
Let i = 46 + 6. Let n = i + -52. Let y(w) = 15*w + 8. Let l be y(-1). Which is the closest to l? (a) 6/11 (b) n (c) 1/3
b
Suppose 2*q + 2*y + 2 - 4 = 0, -2*q + 2*y + 14 = 0. Let x = 270908/923 - 20850/71. What is the closest to 0.1 in q, x, -0.3, 0.7?
x
Let u = -1.74 + -0.06. Let k = u - -1.9. Let l = -4130 - -4129.9. What is the nearest to 0.1 in k, l, -5?
k
Let v be (-164)/(-984)*(1 - 11230/6). Let h = -312 - v. Which is the nearest to 2/7? (a) 3/5 (b) 34 (c) h (d) 1/7
d
Let p = 1.03 + -1.43. Let q be 2/2 + 75/(-150). What is the closest to -2 in q, p, -1?
-1
Let s = -84551.6 - -84552. Let m = -9 - -13. What is the nearest to 10/3 in s, m, 2?
m
Let z = -4 - -3. Let s = 6649.9 - 6650. Which is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
(y) = -y**2 + 3*y + 1. Let p be o(d). Suppose 0 = 2*l + 4*v - 26, l - 25 = -5*v - 0*v. Sort l, p, -3 in decreasing order.
l, p, -3
Suppose 5*x = d + 5, -4*d + 5*d + 4*x = -5. Let h = 17 - 16. Put 3, d, h in descending order.
3, h, d
Let d = 5.5 + -7.5. Let a = -1.1 - -1. Let y = a - -0.4. Sort y, 0.1, d in increasing order.
d, 0.1, y
Let n = -0.21 - 0.29. Sort -3/5, n, -1/4, -0.1 in decreasing order.
-0.1, -1/4, n, -3/5
Suppose 0 = 3*t + t - 60. Let j be 6/(-4)*20/t. Sort 2, j, 5 in ascending order.
j, 2, 5
Let h = 0 - 4. Let x = -1.01 - -0.01. Let s = 11.9 + -12. Put h, s, x in descending order.
s, x, h
Suppose -4*u = -5*p + 179, -3*p + 4*u - 66 = -5*p. Put p, 1, 3, 0 in descending order.
p, 3, 1, 0
Suppose 2*p = 3*p - 5*q + 31, 3*q - 21 = p. Let x = -10 - p. Let b be ((-15)/(-18))/((-1)/(-6)). Sort b, 1, x.
x, 1, b
Suppose 2*c + 6 = 0, -4*c + 10 - 37 = 5*t. Let l = -2 + 2. Put l, t, -2 in descending order.
l, -2, t
Let l(f) = -f**3 + 16*f**2 + 16*f + 18. Let j be l(17). Let z be (-3)/(-60)*271/(-16). Let w = z + 3/64. Put j, w, -1/4 in ascending order.
w, -1/4, j
Suppose 22 = -7*l + 1. Sort 4, -4, l in ascending order.
-4, l, 4
Let x be 0/(-3*(-6)/9). Let u be (x - 1)/2*-6. Let m be (-15)/(-10)*(-1)/u. Put 0.3, m, -2 in descending order.
0.3, m, -2
Let r(f) = -2*f**2 + 7*f + 1. Let t be r(4). Put t, 1/2, 3 in decreasing order.
3, 1/2, t
Let b = 360.8 + -361. Let k = 41/3 + -14. Put k, b, -1 in descending order.
b, k, -1
Let a = -20.89 + 21. Let o = a + -0.01. Sort o, -0.3, 4.
-0.3, o, 4
Let f be (-141)/(-447)*(-6)/8. Let o = -2/149 + f. Sort o, 4, -0.5.
-0.5, o, 4
Let n(d) = 2*d + 1. Let g(r) = 2*r + 1. Let w(y) = -4*g(y) + 3*n(y). Let x be w(1). Let b be (-15)/(-10) - (3 + -2). Put -0.5, b, x in ascending order.
x, -0.5, b
Let a be ((-1)/(-2))/(6/12). Put 5, -6, a in ascending order.
-6, a, 5
Let o(h) = h. Let x be o(2). Suppose 2*b = 2*c - 4*c - 4, 0 = -2*b - c - x. Sort -5, b, 4 in decreasing order.
4, b, -5
Suppose -4*m + 15 = 3. Let p(c) = -3*c**2 - 6*c - 5. Let b be p(-1). Sort m, 0, b in increasing order.
b, 0, m
Let w(k) = k**3 + k**2 + k + 16. Let f be w(0). Suppose -f = -3*g + 5*g. Put 5, g, 1 in descending order.
5, 1, g
Suppose -c - 2 = -5. Suppose -2*t - c*l - 3 = t, -1 = t + 5*l. Sort 14, t, 4 in increasing order.
t, 4, 14
Let o(i) = -i**2 - 11*i - 6. Let t be o(-8). Suppose 3*k + t = 6. Put 4, -1, k in increasing order.
k, -1, 4
Let v = -40.2 + 40. Let j = 2 + -1. Let l(c) = -2*c + 1. Let t be l(j). Sort -3, t, v in decreasing order.
v, t, -3
Suppose -4*o - 36 = 4*s - 4, -4*s - o - 26 = 0. Let p be s/(-15) - (-3)/5. Let d be p*(1 + 0/1). Put 4, -1/3, d in descending order.
4, d, -1/3
Let y = 0 + -5. Let i = y + 2. Put -2/17, i, 0.5 in increasing order.
i, -2/17, 0.5
Suppose 0 = -12*u + 16*u. Sort -5, u, -1, 13.
-5, -1, u, 13
Let v be (16/24)/((345/(-9))/5). Sort -3/2, -1, v.
-3/2, -1, v
Suppose 0 = 3*d - 6 + 15. Let j = -2 - -3. Sort 5, j, d.
d, j, 5
Suppose 14*c - 2 + 16 = 0. Sort 3, 5, c, -8 in descending order.
5, 3, c, -8
Suppose -5*p = -4*f - 117, 0 = 3*p - 4*p + 1. Let o be 6/21 - 1175/f. Let a = -42 + o. Sort -0.4, a, 0.2 in decreasing order.
a, 0.2, -0.4
Let c(u) = -3*u - 2. Let a be c(-4). Let l be ((-8)/a)/((-7)/(-35)). Suppose 0*n = 4*n - 16. Put 0, l, n in descending order.
n, 0, l
Let n be (-11)/(-2) - 9/(-6). Suppose 4*h + 4*b = 4, -n*h + 3*h + 3*b = 3. Sort h, -5, -1 in descending order.
h, -1, -5
Let q = -1/29 - -36/203. Let c = -0.28 - 0.02. Put 4, q, c in descending order.
4, q, c
Suppose -z = -3*z + 30. Suppose 13*l = z*l + 10. Suppose -17 = -3*r - 4*u, -3*u + 0*u = 4*r - 11. Sort l, r, 5 in ascending order.
l, r, 5
Let z(k) = -4 + 2 - 5*k + 2*k**3 + 3*k**2 - k**3. Let v be z(-4). Let m = 7 - 9. Put -4, v, m in ascending order.
-4, m, v
Let z = -2 - -3. Suppose 3*k + 4 = -5*h - 8, 2*k + 8 = 0. Let f = h - 0. Put z, f, 2 in increasing order.
f, z, 2
Suppose -4*j = 11 - 699. Let m be 4/(-14) - j/(-14). Let b(n) = n - 9. Let u be b(m). Sort 1, -2/7, u in ascending order.
-2/7, 1, u
Let h(p) = 2*p + 29. Let d be h(-14). Sort 0.3, d, -0.1 in increasing order.
-0.1, 0.3, d
Let h = 2 + 0. Suppose 9*v + 18 = 3*v. Put -6, h, v in ascending order.
|
{
"pile_set_name": "DM Mathematics"
}
|
.0509 - -0.0509. Let u = t + y. What is u rounded to five dps?
0.00007
Let q = -78.41 - -114.42. Round q to the nearest integer.
36
Let d(z) = z**2 - 11*z + 6. Let q(k) = k**2 - 3*k + 3. Let l be q(4). Let n be d(l). Let u be (-2)/11 - 38064/n. What is u rounded to the nearest 100?
1700
Let j = 13 - 7. Let x = 10 - j. Suppose -c + x*c + 60 = 0. Round c to the nearest ten.
-20
Let f = 65.10904683 + -0.10841683. Let a = f - 65. What is a rounded to 4 dps?
0.0006
Let t = 0.7 + -6.7. Let k = 126.75 - 121. Let y = t + k. What is y rounded to 1 decimal place?
-0.3
Let t = -14 - -13. Let k(z) = 113997*z - 3. Let x be k(t). Round x to the nearest ten thousand.
-110000
Suppose 4*a - 19404 = -2*x, 1 = 2*a - 1. Round x to the nearest 1000.
10000
Let j = -204080.1931 - -204090. Let v = 82.8 - 73. Let m = j - v. Round m to 3 dps.
0.007
Let g = -136.664373 + 260.6643781. Let f = -121.8 - 2.2. Let b = g + f. Round b to six decimal places.
0.000005
Let m = 1 - -1. Let y be (-42)/(-35) - 1008/(-10). Let w be (y - m)*(2 + -712). What is w rounded to the nearest 10000?
-70000
Let a = -1299.00000011 + 1299. Round a to six decimal places.
0
Suppose u + 5*d = 100000012, -5*u + 5*d + 458958251 + 41041809 = 0. Suppose n + 125000020 = -5*h + 6*n, 3*n = 4*h + u. Round h to the nearest 1000000.
-25000000
Suppose x = -4*i + 2, 0 = 3*x - 6. Suppose 5*u + 3105 = -g, -u = -3*g - i*u - 9299. What is g rounded to the nearest 100?
-3100
Let x(h) = 15000*h. Let k = 21 + -16. Let r = -3 + k. Let b be x(r). What is b rounded to the nearest 100000?
0
Let z = -359596.00016 - -359568. Let d = -28 - z. Round d to 4 decimal places.
0.0002
Let h = -565.2 - -562. Round h to the nearest integer.
-3
Let z(r) = -1628573*r - 7. Let i be z(-7). Suppose i = y - p, -2*p + p = -3*y + 34200004. Round y to the nearest 1000000.
11000000
Let b = -412 + 166. Let g = b - -506. Let f = -258.81 + g. What is f rounded to one decimal place?
1.2
Let d = 21 + -24. Let u = d - -3.54. What is u rounded to 1 decimal place?
0.5
Let r(h) = -161459*h + 131. Let n be r(9). What is n rounded to the nearest 1000000?
-1000000
Let c(i) be the second derivative of i**5/20 + i**4/6 - 2*i**3/3 - i**2 + 5*i. Let d be c(-3). Let l be 7 + 1052 + d + 0. Round l to the nearest 100.
1100
Let c = 166079683 + -166079702.50549823. Let a = c + 3.50549847. Let h = a - -16. What is h rounded to 7 decimal places?
0.0000002
Let p(d) be the first derivative of -55358*d**2 + 24*d + 22. Let b be p(14). Round b to the nearest one hundred thousand.
-1600000
Let b = 0.614 - 0.613175. Round b to five dps.
0.00083
Let p(f) = -39*f - 14. Suppose -10 = w - 2*w + 2*u, -4*u - 12 = 2*w. Let o be p(w). Round o to the nearest 10.
-90
Let x = 550 + -552.61. Let u = 2.61000676 + x. Round u to 6 dps.
0.000007
Suppose -3*s - 5*x + 591 = -2*x, -5*x + 10 = 0. Suppose 9*f + s = 4*f. Round f to the nearest 10.
-40
Suppose 38 = 3*w - 22. Let o(j) = -w*j + 16*j - 26*j. Let n be o(-3). Round n to the nearest 100.
100
Suppose -c - 4*c - 4*w = 93096, -5*c + 5*w = 93105. Round c to the nearest 1000.
-19000
Let j = 150.2 + -49.6. What is j rounded to the nearest ten?
100
Let j = 5.8 + -5.45. Round j to the nearest integer.
0
Let w = 0.0953 + -0.0953005799. Round w to 7 decimal places.
-0.0000006
Let q = 0.42 + 0.01. Let m = 0.69 - q. What is m rounded to one dp?
0.3
Let v be -7 - -2 - -4*(-2757)/12. Round v to the nearest 100.
-900
Let i = -480.1 - 96.9. Let b = -11.684928 + 588.708228. Let f = i + b. Round f to three dps.
0.023
Let m be (-2)/(((-5)/(-18))/(-5)). Let c be (-24)/((-12)/(-6))*-31. Suppose -p = 5*h - m + 154, -4*p + 5*h = c. Round p to the nearest 10.
-100
Let c = 57.8 - 17.3. Let a = 40.50177 - c. Round a to 4 decimal places.
0.0018
Let i = -137.0000571 + 137. Round i to five dps.
-0.00006
Let p = 84.584 - 85. Let z = -0.4 - p. What is z rounded to three decimal places?
0.016
Let j = 2 - 9. Let c be j/7*(1 - 4). Suppose 0*m + 1713 = c*y + 3*m, -5 = -5*m. Round y to the nearest one hundred.
600
Let u = 19.6 - 44. Let t = u + 3. Round t to the nearest 10.
-20
Suppose -3*j + 28 = j. Let y be (51/2)/(j/(-182504)). Let s = 462836 + y. What is s rounded to the nearest ten thousand?
-200000
Let n be 1523*(9/(-3) - -4978). Let a = -12916925 + n. Round a to the nearest 1000000.
-5000000
Let f = -143 + 85. Let l = 58.00000062 + f. Round l to seven dps.
0.0000006
Let b(z) = 6*z + 1745*z**2 + 10 + 976*z**2 + z. Let o be b(-5). What is o rounded to the nearest 10000?
70000
Let r = 431799.53113 - 431797. Let n = 59.4 - 56.87. Let k = n - r. Round k to 4 dps.
-0.0011
Let f = -2.08787467 + -0.01216833. Let l = -2.134 + 0.034. Let a = l - f. What is a rounded to five decimal places?
0.00004
Let q be 2*(27/(-6))/9. Let z(p) = 209*p**3 + p. Let m be z(q). Round m to the nearest one hundred.
-200
Let d = 2.87 - 195.87. Let w = -193.00396 - d. Round w to 3 decimal places.
-0.004
Let v be (-23625)/(-6)*21392/(-21
|
{
"pile_set_name": "DM Mathematics"
}
|
46)*-2 - sqrt(3146)) + sqrt(3146))/sqrt(2))*-2.
-42*sqrt(13) - 10
Simplify (((-1 + sqrt(1377))*-2 - 5*(sqrt(1377) + 1 + sqrt(1377)) - (4*(-1 + sqrt(1377)) - (1 + -1 + sqrt(1377))))*-6)**2*4.
-38880*sqrt(17) + 44614944
Simplify 2 + ((4 + (sqrt(128) - (sqrt(128) + 4)))*-6)**2 + (sqrt(128)*-5*-6 + 5)**2.
2400*sqrt(2) + 115227
Simplify (1 + sqrt(425) + -4)**2 + 4 + (-5*-3*(1 + sqrt(2057) + sqrt(2057) + sqrt(2057)))**2 + 5.
14820*sqrt(17) + 4166093
Simplify (sqrt(153)/sqrt(9) + 3 - (-3 + sqrt(833)) - -5*(0 + -6*(sqrt(34)/sqrt(2) - sqrt(17))))**2.
-72*sqrt(17) + 648
Simplify -5 + (1*(-5 + 6*(1*sqrt(208)*-4 + sqrt(208)) + -5))**2*3.
4320*sqrt(13) + 202471
Simplify (3 + (-1*sqrt(700) + 2)**2 - (0 + (1*sqrt(700))**2*1)) + 3 + -5.
-40*sqrt(7) + 5
Simplify ((2*sqrt(2448) + 2 - (2*sqrt(2448)*-2 - sqrt(2448))**2) + 5 + 2*(sqrt(2448) - (sqrt(2448) + 1)))*-1*-4.
-244780 + 96*sqrt(17)
Simplify ((3 + 6*sqrt(5) + 1)*6 + (sqrt(180) + -2)*-4 + -4)**2.
672*sqrt(5) + 1504
Simplify (1*sqrt(90)/sqrt(3) + sqrt(30) - -6*sqrt(180)/sqrt(6))/(sqrt(250)*-6 - sqrt(40)/sqrt(4)*3).
-8*sqrt(3)/33
Simplify (6*1*-1*sqrt(143)*2)/((sqrt(3564)*2)/(sqrt(28)/sqrt(28))).
-sqrt(13)/3
Simplify (3 + 6*((2*sqrt(4114))/(-3*sqrt(6)/sqrt(3)) + (sqrt(34)*2*4)/(sqrt(2) - (sqrt(8) + (sqrt(8) - sqrt(8)*-1) + sqrt(8) + sqrt(2)))))**2.
-300*sqrt(17) + 42509
Simplify ((sqrt(272) - (sqrt(272) + 0 + -2)) + -1)**2 + -5 + (0 + sqrt(272)*3 - sqrt(272)) + sqrt(272)*2 + 0 + 0.
-4 + 16*sqrt(17)
Simplify (-3*(sqrt(102)/sqrt(6) + 1) + sqrt(85)/(sqrt(5) + sqrt(180)*-5))**2 + 4.
528*sqrt(17)/29 + 142581/841
Simplify (sqrt(196)/(sqrt(252) - sqrt(7)) + (sqrt(28) - ((sqrt(112)/sqrt(4) - sqrt(28)) + sqrt(28)))*3)/(sqrt(16)*4 - sqrt(8)/sqrt(8)).
2*sqrt(7)/75
Simplify ((1*sqrt(540))/(6*sqrt(20)/sqrt(2)))/((-1*sqrt(18))/sqrt(6) - (sqrt(3) + sqrt(432))).
-sqrt(2)/28
Simplify (6*((sqrt(891) + 2 + -5 - sqrt(891)) + -5 + 2 + sqrt(891) + 1*sqrt(891) + 5 + sqrt(891) + 2))**2 + 4.
1944*sqrt(11) + 288724
Simplify -3*6*((-3 + sqrt(396) - sqrt(396) - sqrt(396)) + sqrt(396)) + -3*(sqrt(3564) + -2 - sqrt(3564)).
60
Simplify (-3 + ((-1 + (sqrt(99)*-1)**2)*-6 - ((sqrt(99) + 0)*-6*6)**2))*-5.
644475
Simplify 2*(1 + 3*(sqrt(2) + sqrt(4)/sqrt(98)) - ((sqrt(8) - (1*sqrt(8)*-2 - sqrt(8))) + 3)**2).
-272 - 624*sqrt(2)/7
Simplify -5 + -4*-2*sqrt(605)*2 - (-3 + -2 + (sqrt(5) - (sqrt(5) + (sqrt(5) - sqrt(5)*1))) + -2 + -5).
7 + 176*sqrt(5)
Simplify (((2 + (sqrt(125)*1 - sqrt(125)) - sqrt(125)) + sqrt(125) + 0 + sqrt(125) + sqrt(125) + sqrt(125)*2)*-2*2*-5)**2 + 5.
32000*sqrt(5) + 801605
Simplify (sqrt(8) + sqrt(768)/sqrt(6))/sqrt(4) + ((1 + sqrt(2) + -4)*1)**2 - (sqrt(50) + (sqrt(4050)*-2 - sqrt(4050)) + -5 + -2)**2.
-33838 - 1821*sqrt(2)
Simplify ((2 + (sqrt(252) + -4 - sqrt(252)))**2*-3 + 1 + -2)*-3*-4.
-156
Simplify sqrt(270)/sqrt(6) + (sqrt(5) - sqrt(10)/sqrt(2)*3) + 4 + 0 - 5*((sqrt(320))**2 + 0 - sqrt(40)/sqrt(32)).
-1596 + 7*sqrt(5)/2
Simplify (sqrt(30)*3*2*1)/(2*sqrt(486)*5).
sqrt(5)/15
Simplify (5*sqrt(1008)*-2 + sqrt(1008) + -3*(sqrt(1008) + -1) - ((3*sqrt(1008) - sqrt(1008)) + -3 + (sqrt(1008) - (sqrt(1008) + -1 + 5)) + sqrt(1008)))**2.
-3600*sqrt(7) + 226900
Simplify (4*sqrt(30)/(-2*sqrt(147) + sqrt(3)))/(sqrt(2) + sqrt(200)*2 - (sqrt(200)*-1 + sqrt(2))).
-2*sqrt(5)/195
Simplify (((4*sqrt(78)*-2 - sqrt(78)) + sqrt(78) - sqrt(78))/(2*sqrt(48)))/((3*sqrt(20))/sqrt(10) + sqrt(20)/(-4*sqrt(10))).
-9*sqrt(13)/22
Simplify (2*(sqrt(168)/sqrt(7) + sqrt(24)))/(sqrt(12)/(sqrt(36)/sqrt(96)))*-3.
-6*sqrt(3)
Simplify (-6*(5 + (2*sqrt(567)*6 - -4*(sqrt(567) + -1)))*5*3)**2.
2332800*sqrt(7) + 1175739300
Simplify (-6*(5 + (2*(sqrt(102) + (sqrt(102) - 1*sqrt(102)))*1)/(1*sqrt(1536)) + 1))**2.
54*sqrt(17) + 20889/16
Simplify ((sqrt(76) + 2)**2 + -2 + -3)*3 + (-3 + (3*sqrt(76) + 0)*-4)**2.
168*sqrt(19) + 11178
Simplify ((-3*(1 + sqrt(833)) + 4 - -2*(sqrt(833) + 0 + 3))*2 + -1)**2.
-364*sqrt(17) + 3501
Simplify (6*-2*(sqrt(80) + sqrt(80) + -2)*2)**2 - ((sqrt(135)/sqrt(3) - -4*sqrt(20))**2 + (sqrt(55)/(sqrt(22)/sqrt(2)) + sqrt(5))*-6).
-18420*sqrt(5) + 186019
Simplify (1 + ((0 + 1*1*sqrt(1300) - (sqrt(1300) - -4*1*sqrt(1300) - (-1 + 1*sqrt(1300)))) + 3)**2)*1.
-120*sqrt(13) + 11705
Simplify 2*-4*sqrt(176) + sqrt(66)/(sqrt(30)/sqrt(5)*-1)*-1.
-31*sqrt(11)
Simplify -1*(-2 + (1 + (2*sqrt(2736) + 4 + sqrt(2736) - sqrt(2736)) + 3 + sqrt(2736) + 1*sqrt(27
|
{
"pile_set_name": "DM Mathematics"
}
|
2573889 is divided by 862?
819
What is the remainder when 1499620 is divided by 21402?
1480
Calculate the remainder when 1979012 is divided by 659463.
623
What is the remainder when 61729 is divided by 9?
7
What is the remainder when 140688 is divided by 69181?
2326
Calculate the remainder when 387535 is divided by 21340.
3415
Calculate the remainder when 70583293 is divided by 3714910.
3
What is the remainder when 20767271 is divided by 534?
11
Calculate the remainder when 64342471 is divided by 722949.
10
What is the remainder when 13564 is divided by 176?
12
What is the remainder when 24346515 is divided by 26039?
50
Calculate the remainder when 32983835 is divided by 16491904.
27
What is the remainder when 293651 is divided by 146823?
5
What is the remainder when 905918 is divided by 241?
240
Calculate the remainder when 1576298 is divided by 525426.
20
Calculate the remainder when 1769759 is divided by 12.
11
Calculate the remainder when 9103355 is divided by 114.
113
Calculate the remainder when 670357 is divided by 3061.
3059
Calculate the remainder when 2015972 is divided by 503989.
16
Calculate the remainder when 82798 is divided by 3929.
289
What is the remainder when 8060416 is divided by 1151488?
0
What is the remainder when 824549 is divided by 697?
695
What is the remainder when 42930218 is divided by 21465109?
0
Calculate the remainder when 9665259 is divided by 2416306.
35
Calculate the remainder when 27437 is divided by 343.
340
Calculate the remainder when 3259649 is divided by 485.
449
Calculate the remainder when 6836634 is divided by 126.
0
What is the remainder when 2450068 is divided by 1886?
154
What is the remainder when 7561268 is divided by 504084?
8
Calculate the remainder when 759454 is divided by 497.
38
What is the remainder when 620407 is divided by 49?
18
Calculate the remainder when 424778 is divided by 3255.
1628
Calculate the remainder when 104677 is divided by 771.
592
What is the remainder when 3757024 is divided by 1878508?
8
What is the remainder when 114064 is divided by 651?
139
Calculate the remainder when 286987 is divided by 2814.
2773
What is the remainder when 103669 is divided by 14794?
111
Calculate the remainder when 2141028 is divided by 1308.
1140
What is the remainder when 29793696 is divided by 4395?
4386
What is the remainder when 721795 is divided by 6872?
235
What is the remainder when 87470 is divided by 760?
70
What is the remainder when 1359819 is divided by 89?
77
Calculate the remainder when 2595900 is divided by 96143.
39
What is the remainder when 4089529 is divided by 584199?
136
What is the remainder when 247719 is divided by 247041?
678
What is the remainder when 1257392 is divided by 367?
50
Calculate the remainder when 356779 is divided by 356773.
6
Calculate the remainder when 427875 is divided by 18602.
29
What is the remainder when 473278 is divided by 1400?
78
What is the remainder when 5939185 is divided by 35995?
10
What is the remainder when 51767856 is divided by 4313987?
12
Calculate the remainder when 1446464 is divided by 1445933.
531
What is the remainder when 251232122 is divided by 29?
18
Calculate the remainder when 699680 is divided by 34980.
80
Calculate the remainder when 1991245 is divided by 115.
20
What is the remainder when 20807398 is divided by 495414?
10
What is the remainder when 920838 is divided by 6482?
394
What is the remainder when 2178731 is divided by 4973?
557
What is the remainder when 39287 is divided by 374?
17
Calculate the remainder when 5820490 is divided by 4128.
10
What is the remainder when 28016544 is divided by 5195?
5104
Calculate the remainder when 27261588 is divided by 26.
16
What is the remainder when 184188 is divided by 3221?
591
Calculate the remainder when 18853195 is divided by 9426578.
39
Calculate the remainder when 65261 is divided by 21708.
137
What is the remainder when 30085352 is divided by 2735032?
0
Calculate the remainder when 13437 is divided by 117.
99
What is the remainder when 142303 is divided by 71030?
243
Calculate the remainder when 12016855 is divided by 8.
7
What is the remainder when 110956798 is divided by 753?
742
What is the remainder when 3326708 is divided by 97843?
46
What is the remainder when 8372581 is divided by 48?
37
What is the remainder when 13759174 is divided by 173?
138
Calculate the remainder when 26856520 is divided by 1678532.
8
What is the remainder when 97424 is divided by 47896?
1632
Calculate the remainder when 14363147 is divided by 18.
11
Calculate the remainder when 23187068 is divided by 11593438.
192
Calculate the remainder when 2959405 is divided by 37.
34
What is the remainder when 554059816 is divided by 27?
25
Calculate the remainder when 128472 is divided by 474.
18
Calculate the remainder when 14454975 is divided by 26.
15
What is the remainder when 2274992 is divided by 68?
52
Calculate the remainder when 12822505 is divided by 136.
17
Calculate the remainder when 643831 is divided by 1555.
61
What is the remainder when 12810611 is divided by 584?
571
Calculate the remainder when 3498577 is divided by 24.
1
What is the remainder when 5057788 is divided by 1590?
1588
What is the remainder when 321420 is divided by 313?
282
What is the remainder when 82817 is divided by 82799?
18
Calculate the remainder when 68315329 is divided by 21.
19
Calculate the remainder when 25485458 is divided by 38.
36
Calculate the remainder when 745715 is divided by 1415.
10
Calculate the remainder when 555643 is divided by 373.
246
What is the remainder when 5336760 is divided by 474?
468
What is the remainder when 2927637 is divided by 34042?
25
What is the remainder when 528374366 is divided by 302?
300
What is the remainder when 2622645 is divided by 2378?
2089
Calculate the remainder when 157405 is divided by 5524.
2733
Calculate the remainder when 9527403 is divided by 142200.
3
Calculate the remainder when 98125045 is divided by 136855.
10
Calculate the remainder when 16203552 is divided by 35928.
24
Calculate the remainder when 364479 is divided by 363432.
1047
Calculate the remainder when 976097 is divided by 488043.
11
Calculate the remainder when 7993977 is divided by 69.
51
Calculate the remainder when 20052123 is divided by 49.
0
Calculate the remainder when 434053 is divided by 167.
20
Calculate the remainder when 25011056 is divided by 490.
476
Calculate the remainder when 11665983 is divided by 85779.
39
What is the remainder when 7810542 is divided by 4956?
4842
What is the remainder when 13860208 is divided by 121?
21
Calculate the remainder when 22465114 is divided by 105470.
4
What is the remainder when 13173595 is divided by 200?
195
What is the remainder when 462172 is divided by 153679?
1135
Calculate the remainder when 177352 is divided by 44.
32
What is the remainder when 159458 is divided by 1491?
1412
What is the remainder when 471497 is divided by 779?
202
What is the remainder when 9776902 is divided by 66060?
22
Calculate the remainder when 17232772 is divided by 2775.
22
Calculate the remainder when 3357317 is divided by 176690.
207
What is the remainder when 1946650 is divided by 648586?
892
Calculate the remainder when 44571489 is divided by 1926.
1923
Calculate the remainder when 4102013 is divided by 40212.
389
What is the remainder when 383284 is divided by 94?
46
What is the remainder when 417594 is divided by 102042?
|
{
"pile_set_name": "DM Mathematics"
}
|
-3?
1/15962
Which is the smallest value? (a) -4/5 (b) 2 (c) 4 (d) -0.07
a
Which is the fourth smallest value? (a) -0.1 (b) 74 (c) -1/7 (d) -2/13
b
What is the third biggest value in -140, 45, 4?
-140
Which is the second biggest value? (a) -1 (b) 5 (c) -220 (d) 3/11 (e) -5 (f) 1
f
Which is the fourth smallest value? (a) -3 (b) 0.574 (c) 0.5 (d) -1
b
Which is the smallest value? (a) 1/6 (b) -11 (c) 5024
b
What is the sixth smallest value in -1/3, -2, -16, -291, 2/7, -0.3?
2/7
What is the smallest value in -273, -3/7, -15, 0.2?
-273
What is the sixth biggest value in 3, 6, 12, -4, -0.5, 0.06?
-4
What is the second smallest value in -1, -3, 892, 0.5?
-1
Which is the third smallest value? (a) 0.02 (b) -1 (c) 2126 (d) 1 (e) -3
a
What is the fourth smallest value in 0.2, 16.2, 0.4, -4, -0.07?
0.4
Which is the smallest value? (a) 0.5 (b) -8 (c) -1 (d) -0.744
b
What is the fifth biggest value in -43, -0.1, -1/4, -1/5, -2/129?
-43
What is the fourth smallest value in 5, -4/5, -10, -2/3, -0.3, -1/15?
-0.3
What is the third biggest value in 3/4, -1/13, -5/8, -4/3, -18.1, -0.5?
-0.5
Which is the third biggest value? (a) 3 (b) 1154 (c) 13
a
Which is the third biggest value? (a) 0 (b) 1/3 (c) -3.1 (d) -4 (e) -9
c
What is the fifth biggest value in 0.02, -33, -0.3, -2/7, 10, -5?
-5
What is the sixth biggest value in -0.021, 1, 1/11, 0.88, -0.4, -0.3?
-0.4
What is the smallest value in 2/3, 5, -0.2, 0.6843?
-0.2
Which is the smallest value? (a) -3 (b) 1.1 (c) -0.7 (d) -1/73
a
What is the biggest value in 2/27, -0.51, -22, -1.9, 2?
2
Which is the fourth biggest value? (a) -1046 (b) 5 (c) 0 (d) 2/15 (e) -5
e
Which is the sixth smallest value? (a) -2 (b) 0.09 (c) 3 (d) -0.3 (e) 223 (f) 1/12
e
What is the biggest value in 8/7, 18, -1.74?
18
What is the sixth smallest value in 4, -0.1, 0.05, 80, -1, -161.6?
80
Which is the fifth smallest value? (a) -0.2 (b) -0.4 (c) 2 (d) -26/159 (e) -1 (f) -3
d
Which is the fifth smallest value? (a) -7 (b) -1/5 (c) 21 (d) -0.3 (e) -2
c
What is the sixth smallest value in 1/3, -79/4, 3, 3/5, -17, -0.2?
3
What is the third biggest value in -14, -0.3, 0.102, -1?
-1
Which is the smallest value? (a) 1 (b) -0.4 (c) 85/6 (d) -0.1
b
Which is the second smallest value? (a) 3 (b) -558492 (c) -0.5
c
Which is the second biggest value? (a) -44 (b) 1/5 (c) 0.9
b
Which is the fifth smallest value? (a) 1/4 (b) 6 (c) -1.7 (d) 1/10 (e) 1/21 (f) -57
a
What is the biggest value in 1/4, -22408, -2?
1/4
What is the fifth smallest value in -3, 1/2, 60, 1, -1/16?
60
Which is the fifth biggest value? (a) 0.2 (b) -8/247 (c) 1 (d) 1/10 (e) -144
e
What is the second smallest value in -2/7, 2/13, 4, -0.04, 1/13, 1/8?
-0.04
What is the fourth biggest value in -2, 924/13, 0.01, 1?
-2
What is the third biggest value in 420211, 0, 0.2?
0
What is the second biggest value in 42, -6/215, 0.2?
0.2
Which is the second biggest value? (a) 0.0346 (b) 63 (c) 0.2 (d) 5
d
What is the fourth biggest value in 0.1, -1/4, 1625, 4?
-1/4
Which is the second biggest value? (a) -0.7 (b) 4/7 (c) 21340
b
What is the sixth biggest value in -0.2, 1, -2, -25.3, 0.3, -0.02?
-25.3
Which is the second smallest value? (a) 8 (b) 3 (c) -0.4 (d) 1 (e) -0.02 (f) -1
c
What is the third biggest value in -5/4, 1039/9, -0.5?
-5/4
What is the third smallest value in 1/39, -13.7, 0.2, -3/5?
1/39
Which is the fourth smallest value? (a) 6 (b) 3 (c) -5/8 (d) -131 (e) 17
a
Which is the fourth biggest value? (a) -28/13 (b) 5 (c) 2/57 (d) 2 (e) -5 (f) -0.3
f
Which is the fourth smallest value? (a) -1875 (b) 3 (c) 2 (d) 0.2 (e) -1/5
c
Which is the fourth smallest value? (a) -0.5 (b) -2/7 (c) -0.056 (d) -4 (e) -0.19
e
What is the smallest value in -2, 35/12, -0.33, -0.1, -4?
-4
Which is the biggest value? (a) 2147 (b) -11 (c) -2/7 (d) 0.1 (e) -0.2
a
What is the sixth smallest value in 0, -3/2, -2/9, 0.19, -0.2, 44?
44
Which is the fifth smallest value? (a) -14 (b) 2 (c) -1.3 (d) 0.492 (e) -2
b
Which is the fifth biggest value? (a) -0.4 (b) 4/49 (c) -0.1 (d) 2 (e) -1/6 (f) 2/25
e
Which is the biggest value? (a) 2/397 (b) -6 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
/7
What is ((-11)/(-209) + (-35)/(-57))/((-4)/(-186) - 0)?
31
Evaluate 966/(-24)*6540/3815.
-69
(1 + 64)/(5707/439) + (-13 - -2)
-6
What is 115/(-1) - (-5)/(37/30 - 286/715)?
-109
What is the value of 141/376*712 + -114?
153
Evaluate (-160)/46800*78 + -3 + (-176)/60.
-31/5
What is the value of 3997/(-49) - (-181 - -189) - ((-18)/(-14))/3?
-90
Calculate (((-43)/(-12900))/(-1))/(9/((-315)/(-14))).
-1/120
Calculate ((-2183)/74 - -28)/(7/6).
-9/7
Calculate (-25 - (14 - 38))*(70 - 9).
-61
Calculate 10620/1416*100/(-15).
-50
What is the value of (-1547)/(-49) - 3000/(-875)?
35
What is the value of -7449*(-54)/16146 + -25?
-2/23
What is (-2 - 11) + ((-39338)/267)/(-13)?
-5/3
What is -8 - (-4 - 17)*(199 - 39)/(-32)?
-113
Calculate (-56)/((-8000)/(-720) + 30/(-3) + 196/(-63)).
28
((-992)/(-20))/4*(68972/(-1548) + 44)
-62/9
What is (-8190)/1560*(-416)/(-702)?
-28/9
What is the value of 12/(-14) + -17 + (-8106)/147?
-73
What is the value of 4046/4913 + (-37200)/(-408)?
92
What is (0 - (344/70 - 5))/(102/(-510))?
-3/7
Evaluate ((-79)/(-4) - 18915/5044) + 1510/(-94).
-3/47
What is the value of (0 - 4/31)*(-2497515)/3930?
82
What is the value of 15/4*55788/460251?
5/11
What is (129/344)/((-48)/3584)?
-28
Calculate (-10)/2 + 12 - ((-976)/(-40))/(100/(-250)).
68
-6*66*(-36)/(-396)
-36
What is the value of 32/(-24)*(2 + -4 + (1744/(-32) - -43))?
18
Evaluate (-149 - -171) + -2 + (-237)/12.
1/4
What is -111 + 159022/1380 - 4/4*18/4?
-4/15
((-2)/923)/(161/2093)
-2/71
What is the value of (-43)/((-15)/5 + -8 + 18*34/51)?
-43
What is (2 - 4066/1100) + 85482/52239?
-3/50
What is the value of 173 + -68 + (-31496)/300?
1/75
(-10868)/3696*-28 - 74
25/3
What is (59 - (-70 + 148))/((-2 - 32/(-12)) + -1)?
57
What is (-1754)/(-44) - 10179/(-74646)?
40
What is the value of 11/(-77)*((-42)/15)/(38/(-95))?
-1
Calculate 153/((-22950)/120)*(-1)/(-26).
-2/65
Calculate -96 + 74820/780 + (-294)/(-442).
10/17
What is 165*(-2)/6 + 86?
31
What is 0 + 25/(-40) - 3715621/31928?
-117
((-14418)/(-1335))/(3/(-40)) + (-16)/(-40)*35
-130
What is (0 + (-3)/(-4))/((-10355)/(-1064) - 10) + 6?
16/5
Evaluate ((-4)/4)/(36/180 + 273/(-1540)).
-44
Evaluate (-39)/((-6708)/(-215))*2/(-25).
1/10
What is (-84)/(-1050) - 2442/3025?
-8/11
Evaluate 4/(-26) - 15904/177840 - 1570/(-7065).
-2/95
What is (-6428)/(-154) - 2388/(-4378) - 3/((-126)/(-12))?
42
Evaluate ((23 - 135/9) + 22/(-3))*-15 + 1.
-9
(28/11)/(49594/818301)
42
What is 35875/3430 - ((-96)/(-3920))/((-6)/10)?
21/2
Calculate ((-7)/(-280))/(-302 - -304).
1/80
What is the value of 3114/3633*420/8?
45
Calculate -10*(-2)/(-16) - 156630/(-1816).
85
What is the value of (-196)/(-84)*((-216)/126)/(-4)?
1
Calculate (((-98)/4)/(6/4))/((-28096)/(-192) + -146).
-49
What is the value of ((-12)/14)/((-763422)/11739 - -65)?
26
Calculate -4 + (0/(23 + -27))/(-6 + -6).
-4
Calculate 77682/20009*85/(-15).
-22
What is -9 + 1 + (-528)/128 + 14?
15/8
((-68)/(-306))/((-10)/3)*70/4 - -4
17/6
Calculate 37/220*-7 - (4302/(-7887))/((-5)/(-11)).
1/44
(39552/(-3090))/((-6)/(-30))
-64
Evaluate ((-1)/(-5)*(5/(-3) + 10))/((-2980)/(-46488)).
26
(-3)/(3 + 2025/(-630))
14
What is (-43)/((-4214)/28)*5*-1?
-10/7
Evaluate 15/(-80) + (-90897)/(-1968) + (-1 - -1).
46
Calculate 148 + ((-1002)/27 - (-2548)/819).
114
Evaluate ((-141)/(-27))/(-12 + (-20)/(-5)) + 14/21.
1/72
Calculate ((-150)/17)/((-3686)/31331).
75
What is the value of -43 - 3228/132 - (175/220 + (-3)/12)?
-68
What is the value of (-5 + (-10)/((-90)/63))*9/(-2)?
-9
Calculate 2024/1760 - (-50)/40.
12/5
What is 4 - (-1 + 10/2 + (-99008)/(-2304) + -43)?
1/36
What is 3 - 70 - (20 - 39) - (3 - (5 - 15))?
-61
What is the value of (-19504)/(-371) - (2/35)/((9 + -11)/(-20))?
52
((-4)/120)/((-23)/2645) + (-7)/(-42)
4
Calculate 2/4*7488/234.
16
What is ((-65)/13)/(((-2)/7)/(130/35 - 2))?
30
What is (-72)/276 - (-131600)/469200?
1/51
Calculate (1/((-651)/(-18)))/((-21285)/630 - -34).
4/31
What is the value of (3*(-4)/22)/((-22)/(-77))*252/(-294)?
18/11
(-7106)/1672 + (-1 - (-15)/(-6))
-31/4
What is the value of (-15458)/295*19/((-608)/(-80))?
-131
Calculate 42/(-350)*495*(-78)/2106.
11/5
Evaluate (-33)/(-121) + (-306227)/(-46915).
34/5
Evaluate ((-16)/20 + (-3)/15)/(477 - 472).
-1/5
(-707)/(-21) - (-16)/48*1
34
((-3696)/(-96) + -38)*-40
-20
-106 + 20832/588 + 72
10/7
Evaluate (-22)/(-1) - (57 - (91 - 20)).
36
((-4)/(-9))/(176/(-352)) - (2 - 690/27)
68/3
What is -44 + 115 - (-21 - 2)/(-1)?
48
What is ((-2)/(240/(-18)))/(176/60 + -3)?
-9/4
What is the value of (-4997)/4997*31*(0 - (0 + -1))?
-31
Evaluate 441/(-55) - ((-134)/10 + 5798/(-2230) + 8).
-1/55
Calculate (-1604)/(-8822) - (-372)/(-2409).
2/73
Calculate (-4)/154 - (-178772)/230384.
3/4
328*44/(-176) - -51
-31
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
.
2
Solve 4*w = -5*v, -3*v = -2*w + 496 - 518 for w.
-5
Solve -f + 6 = 2*i, 40*i - 10 = 3*f + 64 for i.
2
Solve -2*y = -2*n - 20, 4*n - 90*y + 10 = -91*y for n.
-4
Solve y + 4 = 0, 0 = -2*b - 60*y + 37*y + 26*y - 6 for b.
-9
Solve -4*l - 302*u - 4 = -305*u, 3*u = 24 for l.
5
Solve -4*z + 10 = 5*m, 2*z - 977*m = -976*m - 16 for z.
-5
Solve 2*h = 7*d + 2*d - 8*d - 5, -9*d = 28*h + 185 for h.
-5
Solve -32 + 23 = -4*h + u, 5 = -5*u for h.
2
Solve -66*u = -63*u + 12*d - 75, 5*u = -4*d + 45 for u.
5
Solve 2*g = 3*r + 7, -4943*r + 16 = -4942*r + 3*g for r.
1
Solve -18 = -3*t, -791*v = -787*v - t + 22 for v.
-4
Solve -5*p - 8*t + 8 = -2*t, 0 = 3*p + t + 3 for p.
-2
Solve 0 = 3*i, l - 7 = 7*i + 6*i - 17*i for l.
7
Solve -t = -111 + 119, -v - 3 = -3*t + 4*t for v.
5
Solve 3 = 2*n - 32*w + 33*w, 2*w = -5*n + 8 for n.
2
Solve 3 = -6*j - 3*r, -1010*j = -1012*j + 5*r + 5 for j.
0
Solve -2*z + 4*r - 30 = 0, -16*r - 69 = -4*z - 169 for z.
-5
Solve 0 = -3*k - d + 3, -401*k + d + 1 = -402*k for k.
2
Solve -2*c = 2*r + 20, 0 = 146*c - 147*c - 5*r - 34 for c.
-4
Solve -3*v + 5*o = 9544 - 9528, -v + 23 = 4*o for v.
3
Solve 162*k + 4*n = 150*k + 68, -4*k + 1 = -3*n for k.
4
Solve -2*q - 5*h = -3*q + 12, 2715*h + 15 = -3*q + 2713*h for q.
-3
Solve 4*u = -72*a + 64*a - 28, 3*u + a + 11 = 0 for u.
-3
Solve 19*i + 15 = 24*i - 5*j, -31 = 9*j + 5 for i.
-1
Solve -25 = -t - 4*s, 41*t - 8*s = 36*t - 15 for t.
5
Solve -2*i + 10 = 2*h, -13*i + 50 = 10*h - 17*i for h.
5
Solve -3*c - 9627 = 3*b - 9603, 2*b = 46*c + 224 for c.
-5
Solve -4*j + 100 - 96 = 0, 0 = -a - 3*j - 2 for a.
-5
Solve 5*b = 146*u - 158*u - 38, -5*b - 51 = -u for u.
1
Solve 59*d = 61*d - 2*w + 14, 0 = 2*d + 3*w - 11 for d.
-2
Solve 5*j + 2*l = 9, -333*j + 12 = -330*j - l for j.
3
Solve 0 = 4*k + j - 19, 0 = k + 8*j - 5*j - 2 for k.
5
Solve -y + 7 = -3*c + 25, 4*y + 37 = 5*c for y.
-3
Solve -2*d = 57*t - 60*t + 16, t - 21*d = -19*d for t.
8
Solve m - 3*n + 10 = 0, -94*n + 98*n = 4*m for m.
5
Solve -28*f = -34*f - 4*a - 8, -4*f = 2*a + 2 for f.
2
Solve 12*d + 4*q - 16 = 0, 2167*q - 2168*q + 10 = 5*d for d.
3
Solve 163 = a + 150, 2*a - 17 = -3*b for b.
-3
Solve -204 = 3*j + 3*a - 240, -18 = -5*j - 2*a for j.
-2
Solve -2 = -4*y - u, -y - 35*u - 3 = -33*u for y.
1
Solve -1381*c + 1379*c - 3*h = -3, 3*c + 2*h = 2 for c.
0
Solve -2*r + 4*h + 44 = 0, -3*h - 26 = 4743*r - 4748*r for r.
-2
Solve -30 = 69*s - 74*s + 3*v, 0 = 2*v for s.
6
Solve 5*i = 3*s + 10, 8*s = -10*i + 5*i + 10 for i.
2
Solve -3*h - 24 = -3*s, 8*h + s - 30 = 11*h for h.
-11
Solve 3*q + 42 = -5*r, 55 - 52 = -r for q.
-9
Solve 0 = -4*q - 3*w - 28, -2826*q + 2827*q - 4*w = 12 for q.
-4
Solve -1 = r, -144*o - 3 = -143*o - r for o.
-4
Solve 2*q - 3*f = -27, 694*q = 693*q + 3*f - 24 for q.
-3
Solve 2*b + 15 = 5*z, 4*b = -125025*z + 125024*z + 3 for b.
0
Solve 6*z - 67 = 3*i - 37, z + 5*i + 6 = 0 for z.
4
Solve -2*n - 2 = 4*l, 14*l - 11*l + 54 - 42 = -5*n for n.
-3
Solve 0 = 5*v + 4*q + 19, -3*v + 579 - 586 = -2*q for v.
-3
Solve 2*x - 16 = r, -36 = 2*r - 207*x + 202*x for r.
-8
Solve 4*m - 5*i + 48 = 0, 8*m + i - 18 = 10*m for m.
-7
Solve -3*h = 88*u - 173, h - 505 = -4*u - 498 for h.
-1
Solve 3*h + 71 - 52 = 2*q, -2*h + 5*q - 31 = 0 for h.
-3
Solve 3 + 37 = -4*r, -190 = 3*v + 19*r for v.
0
Solve 15*b + 10 = -15*b + 28*b - 2*z, 4*z = 0 for b.
-5
Solve 25 = 4*o + m, m + 743 - 763 = -3*o for o.
5
Solve -5*u - 12 = -6249*n + 6253*n, -4*u = 5*n + 6 for u.
-4
Solve -3*p + 123 - 86 = u, 0 = -5*u + p - 7 for u.
1
Solve 374*d = 4*t + 376*d + 12, 0 = -3*d + 6 for t.
-4
Solve 22 = -6*o - 3*f + 10, -o + 5*f = 13 for o.
-3
Solve -45*d = -44*d + w + 13, -3*d + w - 51 = 0 for d.
-16
Solve -4642 + 4660 = n + 4*j, -
|
{
"pile_set_name": "DM Mathematics"
}
|
wrt o.
-360*o**3 + 24*o + 8352
What is the third derivative of 398*p**6 + 159*p**2 + p wrt p?
47760*p**3
Differentiate -1093*s + 986.
-1093
Differentiate 5*p**3*q**2 - 35*p**3*q - p**3 - 691*p wrt q.
10*p**3*q - 35*p**3
Differentiate 238*j*l*y - 102*j*y + 6*j + l*y wrt l.
238*j*y + y
Find the third derivative of 2644*k**6 + 130*k**2 + 9*k wrt k.
317280*k**3
What is the third derivative of -164*r**6 - 3*r**5 + 483*r**2 wrt r?
-19680*r**3 - 180*r**2
What is the second derivative of 33*p**4 + 10*p**2 - p + 84?
396*p**2 + 20
Find the third derivative of 709*m**4*v**2 - 2*m**3*v - 69*m**2*v**2 + m*v wrt m.
17016*m*v**2 - 12*v
Find the first derivative of 41*k*x - k + x + 30 wrt k.
41*x - 1
Find the first derivative of -104*k**2*l**2*t - 232*k**2*l + 2*k**2*t - 4*l**2 wrt t.
-104*k**2*l**2 + 2*k**2
Find the third derivative of 5*d**2*x**3 + 3*d**2*x**2 + 6*d*x**5 - 4*x**2 + 3 wrt x.
30*d**2 + 360*d*x**2
What is the first derivative of 111*t**4 - 169 wrt t?
444*t**3
Find the third derivative of -3492*a**3*j**3*y - 2*a**2*j**3*y + 7*a**2*j**3 + 12*a*j**3 - j**3 wrt a.
-20952*j**3*y
Differentiate 3*d**4*j**3 - 31*d**2*j**3 + 3*d**2 + 2*j**3 - 2*j + 1379 with respect to d.
12*d**3*j**3 - 62*d*j**3 + 6*d
What is the second derivative of -1117*r**4*x**2 - 3*r**3*x**3 - 65*r - x**3 wrt r?
-13404*r**2*x**2 - 18*r*x**3
What is the third derivative of 131*o*t**3 + 2*o*t**2 + 237*o*t + 4*t**3 + 3*t**2 wrt t?
786*o + 24
What is the third derivative of -921*b**6 + 5*b**3 - 811*b**2?
-110520*b**3 + 30
Find the second derivative of 5*f**2*x**2 + 2*f**2*x - 62*x**2 + 397*x wrt x.
10*f**2 - 124
What is the third derivative of -75*j*n**3 + 11*j*n**2*q**3 + 4*j*q**2 - 3*n**3*q**3 - 2*n**2*q**2 wrt q?
66*j*n**2 - 18*n**3
What is the third derivative of 2894*a**3 + 284*a**2 - 4?
17364
What is the second derivative of -11*b**3 - 550*b**2 - 33921*b wrt b?
-66*b - 1100
Find the first derivative of 417*g**4 + 477.
1668*g**3
What is the third derivative of -106*i**3*k*o*t**2 - 2*i**3*o**2*t**3 - 2*i**2*k*o**2*t**3 + 4*i**2*k*o*t**3 - 5*i**2*o**2*t**3 - i*k*o*t + 2*o**2*t**3 wrt i?
-636*k*o*t**2 - 12*o**2*t**3
What is the derivative of 3*l**3*s**2 - 5*l**3*s + 1785*l**3 - 3*l**2*s wrt s?
6*l**3*s - 5*l**3 - 3*l**2
What is the third derivative of -91*v**6 - 639*v**2?
-10920*v**3
What is the derivative of 2*a*r**3*x**2 - 3483*a*r**3 + 5*r**3*x**2 - 1030*r*x**2 wrt a?
2*r**3*x**2 - 3483*r**3
What is the derivative of -d**2 - 147*d + 2183?
-2*d - 147
Differentiate h**3*y**2 + 108*h**3*y - 18*y**2 + 2 wrt h.
3*h**2*y**2 + 324*h**2*y
Find the first derivative of -19*z**4 - 39*z**2 + 896.
-76*z**3 - 78*z
What is the third derivative of 4*n**4*p**2 + 2*n**4*p + 153*n**4*t + 30*n**2*p**2*t - 2*n*p**2 + 3*n*p*t wrt n?
96*n*p**2 + 48*n*p + 3672*n*t
Find the first derivative of 232*f**2*z + 126*f**2 + 3*z wrt z.
232*f**2 + 3
What is the third derivative of -74*u**3 + 5*u**2 + 11 wrt u?
-444
Differentiate 120*x**4 - 2*x + 80 with respect to x.
480*x**3 - 2
What is the first derivative of 15796*z - 15538?
15796
What is the derivative of -17*c*d + 3*c - 2*d*w + w wrt d?
-17*c - 2*w
Differentiate -b*k**2 - 1927*b + 4025*k**2 wrt b.
-k**2 - 1927
What is the second derivative of c*t**3 - 5*c*t**2 + c*t - t**2 + 81 wrt t?
6*c*t - 10*c - 2
What is the second derivative of -196*o**2*t**3 + 922*o*t**3 wrt o?
-392*t**3
What is the first derivative of a**2*i*q*z - 2*a**2*i*z - 44*a**2*q*z + 2*a**2*z - 12*a**2 + 2*a*i*q*z + 4*a*i*z wrt q?
a**2*i*z - 44*a**2*z + 2*a*i*z
Find the second derivative of -2*h**2*m**2*y + h**2*y + 260*h*m**2*y - 2*h*m*y + 110*m wrt m.
-4*h**2*y + 520*h*y
Differentiate -96*c*d*p - 359*c*p + c*w - 7*d*p*w + p - 2*w wrt d.
-96*c*p - 7*p*w
What is the second derivative of 4*x**5 - x**4 + 33*x**2 - 6183*x wrt x?
80*x**3 - 12*x**2 + 66
What is the second derivative of 213*s**2 + s + 36?
426
Find the third derivative of -2*o*x**4 + o*x**3 + 37*o*x - 291*x**4 - 9*x**2 wrt x.
-48*o*x + 6*o - 6984*x
Find the first derivative of 6*n**2*t*w**2 - 23*n*t*w**2 + n*w - 7*t*w**2 + 2*t*w - 3*w**2 wrt n.
12*n*t*
|
{
"pile_set_name": "DM Mathematics"
}
|
2*-2)/((sqrt(72) + sqrt(8) + sqrt(8))*-6).
-2*sqrt(17)/15
Simplify ((3*sqrt(539))**2 - sqrt(539) - (sqrt(99) + -5))*-1.
-4856 + 10*sqrt(11)
Simplify (1*sqrt(891) + 5 + 2)**2.
126*sqrt(11) + 940
Simplify (-4 + (sqrt(68)*-2*1)/sqrt(4))**2.
16*sqrt(17) + 84
Simplify ((sqrt(1700) + 1 - sqrt(1700))**2 - sqrt(17)) + (sqrt(68)*-1)/sqrt(4).
-2*sqrt(17) + 1
Simplify sqrt(143)/((sqrt(2816) + sqrt(44))/sqrt(4))*5.
5*sqrt(13)/9
Simplify (5 + sqrt(425)*-1)**2 - 2*sqrt(425)*-1.
-40*sqrt(17) + 450
Simplify (sqrt(112) + sqrt(112)*1 + 3)**2.
48*sqrt(7) + 457
Simplify 4 + (-5 + -1*(0 + 1*sqrt(13) + sqrt(13)))**2.
20*sqrt(13) + 81
Simplify sqrt(42)/((sqrt(24) - sqrt(864))/sqrt(4)).
-sqrt(7)/5
Simplify 5*(sqrt(19) + (-1*sqrt(133))/sqrt(7))**2.
0
Simplify ((sqrt(539) - (sqrt(539) + 4*(1*sqrt(539))**2 + sqrt(539)) - sqrt(539) - sqrt(539)) + -4)*-3.
63*sqrt(11) + 6480
Simplify 4*3*sqrt(539) - sqrt(539) - (sqrt(539) + (sqrt(539) - (sqrt(539)*-3 + sqrt(539) + sqrt(539) + sqrt(539)) - sqrt(539)))**2*5.
-2695 + 77*sqrt(11)
Simplify (sqrt(242) + 1)**2 + (sqrt(2) + sqrt(2) + -2)*2.
26*sqrt(2) + 239
Simplify 2*(3*(1 + sqrt(288) - sqrt(288)) - sqrt(288) - (sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288) + 0 + -5) - sqrt(288))**2 + sqrt(288))).
-2348 + 408*sqrt(2)
Simplify (sqrt(792)*1 - sqrt(22))/(4*(1*sqrt(11) + sqrt(11))).
5*sqrt(2)/8
Simplify sqrt(1377)*-2 + 0 - (sqrt(153) - (-3 + sqrt(153)*-2 + sqrt(153)))**2.
-621 - 54*sqrt(17)
Simplify 1*sqrt(1053) - (5 + sqrt(26)/sqrt(2)).
-5 + 8*sqrt(13)
Simplify 1*sqrt(52)/(sqrt(36) + sqrt(4)).
sqrt(13)/4
Simplify ((3*(sqrt(104) + sqrt(104)*-2) + sqrt(104))/sqrt(8)*2)**2.
208
Simplify (-3*sqrt(1100)*2)**2.
39600
Simplify (-4*sqrt(130) - sqrt(130))/sqrt(10) + 5 + 0.
-5*sqrt(13) + 5
Simplify -6*(sqrt(13) + 1) + -1.
-6*sqrt(13) - 7
Simplify ((1*sqrt(540))/(2*sqrt(1200) + sqrt(1200)))**2*5.
1/4
Simplify (sqrt(110)*2 - sqrt(110))/sqrt(10) - (sqrt(22)/(sqrt(8) + sqrt(2)))**2.
-11/9 + sqrt(11)
Simplify sqrt(200)/sqrt(196) + ((sqrt(7200) + -3 + sqrt(7200))**2 - sqrt(7200) - sqrt(7200)).
-5875*sqrt(2)/7 + 28809
Simplify -2 + sqrt(11)*-2*4 + (sqrt(396) - 5*(sqrt(396) + 0)**2).
-1982 - 2*sqrt(11)
Simplify (((sqrt(475) - (sqrt(475) + (sqrt(475) - (0 + sqrt(475) + 0)))) + -1)*-4)**2.
16
Simplify (sqrt(225)/sqrt(5)*-3 - sqrt(45))/((3*sqrt(99))/sqrt(11)).
-4*sqrt(5)/3
Simplify (1*sqrt(324))/(sqrt(2) + (sqrt(10)/sqrt(5) + sqrt(2))*-2).
-3*sqrt(2)
Simplify (sqrt(475) - sqrt(475)*2)**2 + (sqrt(475))**2 + 5.
955
Simplify sqrt(847) + ((-1 + -2*sqrt(847) + sqrt(847) - sqrt(847)) + sqrt(847))**2 + (sqrt(847) - (-1 + sqrt(847)))*-4.
33*sqrt(7) + 844
Simplify 4 + sqrt(228)/((-3*sqrt(132))/sqrt(11)).
-sqrt(19)/3 + 4
Simplify 5*-4*(sqrt(175) + sqrt(175) + -1 + sqrt(175)).
-300*sqrt(7) + 20
Simplify (5 + 2 + sqrt(847)*2)**2 + 3.
308*sqrt(7) + 3440
Simplify 3 + (-2*sqrt(1088) - sqrt(1088)).
-24*sqrt(17) + 3
Simplify ((sqrt(14)/(sqrt(7)*-1) - sqrt(2)) + -4)*-1.
2*sqrt(2) + 4
Simplify sqrt(1008) + 1 - 3*sqrt(28)/sqrt(4).
1 + 9*sqrt(7)
Simplify (sqrt(24)/(sqrt(12) + sqrt(60)/sqrt(5)*-6))**2 + 1.
27/25
Simplify (-2*(sqrt(325) + 0))**2*-4 + 4.
-5196
Simplify (sqrt(243) + -1)**2 - (-5*sqrt(3) + 3).
-13*sqrt(3) + 241
Simplify (sqrt(13) + sqrt(13) + 0 - sqrt(13))*-4 + 1.
-4*sqrt(13) + 1
Simplify (3 + 1 + (sqrt(168)/sqrt(4))/sqrt(6))**2.
8*sqrt(7) + 23
Simplify 2*sqrt(1900) + 5.
5 + 20*sqrt(19)
Simplify (sqrt(1088)*-1*-4 - (0 + 2*sqrt(1088))**2) + -2.
-4354 + 32*sqrt(17)
Simplify sqrt(99) - (sqrt(99) + -1 + -5).
6
Simplify -6*((sqrt(20)/sqrt(4)*6)**2 - sqrt(30)/(sqrt(12)/sqrt(2))).
-1080 + 6*sqrt(5)
Simplify (sqrt(102)*-1)/sqrt(6) + sqrt(68)*1.
sqrt(17)
Simplify ((sqrt(85)/sqrt(5)*-4 - (sqrt(119) - (sqrt(119) - (sqrt(119) - (sqrt(119)*1 + sqrt(119))) - sqrt(119)) - sqrt(119))/sqrt(7))*5)**2.
3825
Simplify sqrt(95)/((sqrt(1620) - sqrt(45))/sqrt(9)).
sqrt(19)/5
Simplify -2 + (3*sqrt(847) - sqrt(847))**2.
3386
Simplify (sqrt(26) + (-2*sqrt(182))/sqrt(7) - sqrt(26))/(sqrt(98)*1).
-2*sqrt(13)/7
Simplify sqrt(78)/(sqrt(6) + sqrt(216)/sqrt(4)).
sqrt(13)/4
Simplify (sqrt(152) + (sqrt(152)*-1 + sqrt(152))*4)/(sqrt(16)/sqrt(2)*-2).
-sqrt(19)/2
Simplify (((sqrt(66) - sqrt(66)*2)*-1)/((sqrt(72)*1)/sqrt(12)))**2.
11
Simplify -5*sqrt(170)/sqrt(90).
-5*sqrt(17)/3
Simplify (4 + sqrt(49)/(sqrt(7) + (sqrt(567) - sqrt(7))))*4.
4*sqrt(7)/9 + 16
Simplify sqrt(36)/(-1*sqrt(12)) + -1 + sqrt(3) + sqrt(12).
-1 + 2*sqrt(3)
Simplify 6*((sqrt(432) - (-2*sqrt(300))**2) + 4).
-7176 + 72*sqrt(3)
Simplify (-1 + (sqrt(5) - sqrt(20)/sqrt(4)))**2 + sqrt(5) + (sqrt(320) - (0 + sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
1)*-3)**2.
9216*sqrt(11) + 103680
Simplify (sqrt(1872) + (sqrt(1872) - (sqrt(1872)*2 + 4) - sqrt(1872))**2 + 0 + (-1*sqrt(1872)*2)**2*6)*-1.
-52432 - 204*sqrt(13)
Simplify ((sqrt(208)*-2)/sqrt(4) + sqrt(104)/sqrt(2)*-2)/(-1*sqrt(400)*-2 + sqrt(400)).
-2*sqrt(13)/15
Simplify sqrt(21)/(sqrt(7)*-2*-1) + sqrt(30)/sqrt(10) + -3 + 3.
3*sqrt(3)/2
Simplify 2*((sqrt(171) - (sqrt(171) + (sqrt(171) - sqrt(171)*-2) + 2)) + sqrt(171) + sqrt(171) + 2 + -2)*6.
-36*sqrt(19) - 24
Simplify 3*2*(sqrt(288) + (6*-2*sqrt(288) - sqrt(288))).
-864*sqrt(2)
Simplify ((1*(sqrt(132) + sqrt(132) + (3*sqrt(132)*1 - sqrt(132))))/((sqrt(300) + -2*sqrt(300))*-2))**2.
44/25
Simplify 4*(sqrt(612) + -2) + sqrt(34)/(sqrt(242) - (2*sqrt(242) + sqrt(242))).
-8 + 527*sqrt(17)/22
Simplify sqrt(88)/(sqrt(24)/sqrt(3))*-5 + 5*(sqrt(891) + sqrt(891) + -1).
-5 + 85*sqrt(11)
Simplify (3*(sqrt(84) + -1*sqrt(84)) - -5*(sqrt(84) - sqrt(84)*-1))/(sqrt(96)/sqrt(32)*-3).
-20*sqrt(7)/3
Simplify ((sqrt(1500)*2 - sqrt(15))/(sqrt(1250)/sqrt(10)))**2.
1083/25
Simplify (-2 + -2 + (sqrt(300) + (sqrt(300) - (0 + sqrt(300))))*6)**2 + 3.
-480*sqrt(3) + 10819
Simplify (sqrt(114) - (sqrt(114) + -5*sqrt(114)*-3))/(sqrt(60)/sqrt(10)*6).
-5*sqrt(19)/2
Simplify (sqrt(252)/(3*sqrt(6) + sqrt(6))*-4)/((sqrt(1200) - 1*sqrt(1200) - sqrt(1200))/sqrt(8)).
sqrt(7)/5
Simplify 2*((sqrt(99) - sqrt(99)*2*3) + -2*(sqrt(99) + 2) + 0)**2.
336*sqrt(11) + 9734
Simplify (1*sqrt(700)*1)**2 + -2 + 4*(((-2*sqrt(700) + sqrt(700))**2 - sqrt(700))*5 - sqrt(700) - sqrt(700)).
-280*sqrt(7) + 14698
Simplify (sqrt(40) + (-1*sqrt(400))/sqrt(10))/(sqrt(8) + (-3*sqrt(64))/sqrt(8)) + 0.
0
Simplify (sqrt(684)*-4 - sqrt(19)*-3*5) + (-4*2*sqrt(114))/(sqrt(216)/sqrt(4) - sqrt(6)).
-13*sqrt(19)
Simplify ((sqrt(3240)/sqrt(10) + sqrt(4))/((sqrt(50) - -4*sqrt(50)) + sqrt(2) + sqrt(2)))**2.
200/729
Simplify (-1*(sqrt(425) + sqrt(425) + sqrt(425)*1) + (3 + sqrt(17) + 1 + sqrt(17) - (sqrt(204)/(sqrt(12) + sqrt(12)*2 + sqrt(12) + sqrt(12)) + sqrt(17))))**2.
-568*sqrt(17)/5 + 86097/25
Simplify -5 + ((sqrt(1573) - (-3 + sqrt(1573) - sqrt(1573)))*-1)**2 + 3 + 5.
66*sqrt(13) + 1585
Simplify (sqrt(187) + sqrt(187) + -4*(sqrt(187) - sqrt(187)*-2) + 5*-2*sqrt(187))/((sqrt(110)*-1*3)/sqrt(10)).
20*sqrt(17)/3
Simplify (-1*(-5 + sqrt(125) + 1 - (-1 + sqrt(125) + 1))*-2*5)**2.
1600
Simplify sqrt(50)/((sqrt(160) - sqrt(10)) + sqrt(10)) - (sqrt(720)*-1)**2 - (3 + sqrt(180) + 0).
-723 - 23*sqrt(5)/4
Simplify (2 + 0 + (6*sqrt(68)*2)**2*-5)*1.
-48958
Simplify (5*(-4 + ((-3 + sqrt(2448) + sqrt(2448))*-4 - sqrt(2448))) + -2)**2.
-41040*sqrt(17) + 4958644
Simplify ((sqrt(350)/((sqrt(10) + 2*sqrt(10))*-6))/(sqrt(500) + 2*1*sqrt(500)))**2.
7/291600
Simplify (0 + 1*sqrt(175) + 4)*-1 + 0.
-5*sqrt(7) - 4
Simplify ((-6*3*(-2*sqrt(75) + -2))**2 + -5)*3.
38880*sqrt(3) + 295473
Simplify ((3 + -3*sqrt(1053) - (-1 + -1 + sqrt(1053)))*-1)**2.
-360*sqrt(13) + 16873
Simplify -5*(-1 + -2 + sqrt(2)*-3*3 + sqrt(32)*1).
15 + 25*sqrt(2)
Simplify (-4*(sqrt(208) + -2 + sqrt(208) + -2))**2*-5.
-67840 + 5120*sqrt(13)
Simplify (((sqrt(33) - -5*sqrt(33))*5)/(sqrt(3) - (sqrt(33)/(sqrt(11)*-5) - sqrt(3))))**2.
22500/11
Simplify -2*(3 + (sqrt(5) - (sqrt(30)/sqrt(6) + 4)**2) + sqrt(5) + ((0 + sqrt(5))*1)**2).
26 + 12*sqrt(5)
Simplify (6*4*sqrt(231)/sqrt(7))/(sqrt(11)*1*-2 - ((sqrt(44) + sqrt(176)/sqrt(4) - sqrt(11)) + sqrt(11))).
-4*sqrt(3)
Simplify (-2*((sqrt(2) - (-3*sqrt(2)*-4 + sqrt(2)) - sqrt(32)*-1) + 4 + 0))**2.
-256*sqrt(2) + 576
Simplify (((-3*sqrt(55))/sqrt(5) + -3 + sqrt(539))*-6)**2.
-864*sqrt(11) + 6660
Simplify ((1 + (1 + sqrt(1216))**2 - (((-1 + 2*sqrt(1216) + sqrt(1216))**2 - sqrt(1216)) + sqrt(1216))) + 1)*-6.
-384*sqrt(19) + 58356
Simplify ((-4*(-1*sqrt(5082) + sqrt(5082) - sqrt(5082)))/((sqrt(294) - sqrt(294)*2 - sqrt(294))*6))**2.
121/63
Simplify (2*sqrt(52) - sqrt(13))**2 + -3 - (sqrt(117)/(sqrt(9) + sqrt(54)/sqrt(6)))**2*2.
215/2
Simplify (4*1*((5 + 2*sqrt(7) - (0 + sqrt(252))) + 0)*5)**2.
-16000*sqrt(7) + 54800
Simplify (-5 + (0 + sqrt(2448) + -3)*-4)**2.
-672*sqrt(17) + 39217
Simplify sqrt(5)*2*5 + -5 - (sqrt(45)/sqrt(324))**2*6.
-35/6 + 10*sqrt(5)
Simplify -2 + (-3 + sqrt(75) + -1 + -2 - 4*-3*-1*sqrt(75))**2.
660*sqrt(3) + 9109
Simplify 6*(2*((sqrt(9) - sqrt(81))*-2)/sqrt(3) + -1)*-3.
-144*sqrt(3) + 18
Simplify 5*((4*(sqrt(684) + 1 + sqrt(684)))**2 + sqrt(684)*-1 + 0).
1890*sqrt(19) + 218960
Simplify (3*sqrt(675)*-1)/(sqrt(441) - (sqrt(441) - -5*sqrt(441)*-2)).
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
55
Simplify (-3 + (sqrt(432) - sqrt(432)*2) + -5*(sqrt(432) - sqrt(432)*3 - sqrt(432)))**2.
-1008*sqrt(3) + 84681
Simplify ((sqrt(99) + -1 + sqrt(99))*2)**2.
-48*sqrt(11) + 1588
Simplify 6*((sqrt(13) - (-3*sqrt(637) - sqrt(13)))**2 + (sqrt(13) + -1)*-2).
-12*sqrt(13) + 41274
Simplify (-2*sqrt(700) + 2 - sqrt(700))**2.
-120*sqrt(7) + 6304
Simplify (sqrt(22)/(sqrt(99)*1))**2 - (3 + sqrt(32) + sqrt(2) + (-3 + sqrt(32))**2).
-394/9 + 19*sqrt(2)
Simplify (-3*(sqrt(242) + -1))**2.
-198*sqrt(2) + 2187
Simplify ((sqrt(700) + sqrt(700)*-3)*3*1)**2.
25200
Simplify -5 + (sqrt(243)*-1 + sqrt(3))**2.
187
Simplify (sqrt(405) - (sqrt(405) + 4)**2) + sqrt(25)/(sqrt(5) - sqrt(125)).
-421 - 253*sqrt(5)/4
Simplify (sqrt(10)/(sqrt(6)/sqrt(3)) + 1)**2.
2*sqrt(5) + 6
Simplify (sqrt(4455)*-1)/sqrt(5).
-9*sqrt(11)
Simplify 4*((sqrt(5) - ((sqrt(5) - (sqrt(50)/sqrt(2))/sqrt(5)) + sqrt(5)))**2 - sqrt(5)) - (sqrt(225)/sqrt(80))/sqrt(9).
-17*sqrt(5)/4
Simplify (sqrt(637) + 4*sqrt(637))**2 + sqrt(13) + 1.
sqrt(13) + 15926
Simplify -2*sqrt(648)/sqrt(9).
-12*sqrt(2)
Simplify sqrt(39)/(sqrt(27)/sqrt(9))*-4.
-4*sqrt(13)
Simplify (6*(sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136)))/(2*sqrt(128)).
3*sqrt(17)
Simplify sqrt(60)/(sqrt(24)/sqrt(2)*-6).
-sqrt(5)/6
Simplify sqrt(50)/(sqrt(70)/sqrt(28)) + 5.
2*sqrt(5) + 5
Simplify ((sqrt(140) - (1*sqrt(140) - sqrt(140)))/sqrt(4))/sqrt(7).
sqrt(5)
Simplify (sqrt(110) + (-1*sqrt(110) + sqrt(110) + sqrt(110))*5)/sqrt(10).
6*sqrt(11)
Simplify (-4 + -5*(sqrt(19) + -3 + sqrt(19)))**2.
-220*sqrt(19) + 2021
Simplify (sqrt(5)*-2*5)**2 + sqrt(5) + sqrt(5) + (sqrt(80) + 3)**2.
26*sqrt(5) + 589
Simplify -2 + -2*sqrt(27).
-6*sqrt(3) - 2
Simplify (sqrt(162) + sqrt(162)*-1)*-1 - sqrt(162).
-9*sqrt(2)
Simplify (sqrt(567) - (-4 + (sqrt(567) - sqrt(567)*2)))**2 - (sqrt(567) + -1)*4.
108*sqrt(7) + 2288
Simplify 6*(-6*sqrt(147) + sqrt(3)).
-246*sqrt(3)
Simplify ((sqrt(1053)*2 + 5)*-6)**2.
6480*sqrt(13) + 152532
Simplify (2 + sqrt(704)/sqrt(4))*4.
8 + 16*sqrt(11)
Simplify ((-3*(1 + sqrt(242)) - 5*-1*sqrt(242))*-3)**2.
-1188*sqrt(2) + 8793
Simplify (4*sqrt(176)/sqrt(4) - (sqrt(176) + 0)) + 5.
5 + 4*sqrt(11)
Simplify ((sqrt(240) + sqrt(240)*-2)/sqrt(4))/((1*sqrt(144) + sqrt(144) + sqrt(144))/sqrt(12) + sqrt(12)).
-sqrt(5)/4
Simplify 4*(sqrt(192) - sqrt(3))*6.
168*sqrt(3)
Simplify (sqrt(48) + sqrt(12) + sqrt(12) + sqrt(3))**2 + -2.
241
Simplify (-5*1*(sqrt(19)*-1 - sqrt(19)))**2.
1900
Simplify (((sqrt(1573) - (sqrt(1573) + 0 + sqrt(1573))) + sqrt(1573))**2 - sqrt(1573))*-1.
11*sqrt(13)
Simplify sqrt(5) + 2 + sqrt(125) - (sqrt(180) + 4).
-2
Simplify 0 + (sqrt(162) - (-1 + sqrt(162) + 1) - sqrt(162)).
-9*sqrt(2)
Simplify ((sqrt(18)/sqrt(3))/sqrt(2) - sqrt(3)) + (sqrt(3) + sqrt(27)/(sqrt(9)*2))**2.
27/4
Simplify -5 + sqrt(1300) + (-1*sqrt(1300)*3)**2 + 2.
10*sqrt(13) + 11697
Simplify (3*sqrt(119) - sqrt(119))/sqrt(7) - ((sqrt(17) - (-1 + sqrt(612)))**2 - sqrt(17)).
-426 + 13*sqrt(17)
Simplify (((sqrt(156)*2)/sqrt(12))**2 + (sqrt(468))**2)*6.
3120
Simplify (-4*-2*-2*sqrt(704))**2.
180224
Simplify (sqrt(405) + -1 + 1)**2.
405
Simplify 1*sqrt(11) + 2 + sqrt(1584) + sqrt(1584) + 1.
3 + 25*sqrt(11)
Simplify ((sqrt(66)/sqrt(2)*3)/(-2*sqrt(44)) + -5)**2.
15*sqrt(3)/2 + 427/16
Simplify 3*sqrt(2448)*6.
216*sqrt(17)
Simplify (-3 + sqrt(34)/(2*sqrt(2)))**2.
-3*sqrt(17) + 53/4
Simplify 4 + -4*sqrt(1216) + sqrt(1216).
-24*sqrt(19) + 4
Simplify ((-2*sqrt(400))/(-2*sqrt(605)))**2.
80/121
Simplify 3*(-2*sqrt(468))**2*-4.
-22464
Simplify -3*((-5*sqrt(56)*-3)/sqrt(8))**2.
-4725
Simplify (-1 + sqrt(833))**2*-2.
-1668 + 28*sqrt(17)
Simplify -3 + (sqrt(5) + 3 + sqrt(5) + -1 - sqrt(5)).
-1 + sqrt(5)
Simplify (-4*(sqrt(171) + 0 + 4)*5)**2.
9600*sqrt(19) + 74800
Simplify (-2*sqrt(1872))**2 - 3*sqrt(117).
-9*sqrt(13) + 7488
Simplify sqrt(99)/(sqrt(9) + sqrt(9)*-1 - sqrt(9))*4.
-4*sqrt(11)
Simplify (sqrt(33) - (sqrt(33) - sqrt(396)/(sqrt(12) - sqrt(108))))/(sqrt(99)/(1*sqrt(9) + sqrt(9) - sqrt(9))).
-sqrt(3)/2
Simplify ((sqrt(28)*6)**2 - (3 + -1*sqrt(7))**2) + sqrt(252)/sqrt(4) + -1.
9*sqrt(7) + 991
Simplify (sqrt(75) + 1 + sqrt(75)*-2)**2.
-10*sqrt(3) + 76
Simplify ((sqrt(190) + (sqrt(190)*-2 - sqrt(190)) + sqrt(190) + sqrt(190))*4)/(sqrt(30)/(sqrt(3)*-2)).
0
Simplify (1 + sqrt(1900) + 2 + (-1 + sqrt(1900))*-6)**2.
-900*sqrt(19) + 47581
Simplify -2*(-2 + sqrt(200)).
-20*sqrt(2) + 4
Simplify ((sqrt(3) + -1)*1)**2 - (sqrt(75) + 0).
-7*sqrt(3) + 4
Simplify sqrt(99) - ((sqrt(99)*2 - sqrt(99))*-2)**2.
-396 + 3*sqrt(11)
Simplify 0 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ k and give t.
44
Rearrange (2*x + 2*x - 2*x)*(-95 - 16*x + 95) to l*x**2 + s + v*x and give l.
-32
Express (w**3 - 3*w**3 + w**3)*(4 + 2 - 4) + (0*w**3 - 5*w**3 + 4*w**3)*(6 - 3 + 4) as g*w**2 + f + h*w + s*w**3 and give s.
-9
Rearrange 10*r + 3*r**3 - r**4 - r**4 - 2 - 9*r + r**2 to u*r**2 + h + k*r + x*r**4 + t*r**3 and give x.
-2
Rearrange 15*i**3 - i - 3*i**2 + 3 - 8*i**3 - i + i**4 - 9*i**3 to the form f*i**3 + a + b*i + k*i**4 + o*i**2 and give k.
1
Rearrange -5*s + 2 + 0 + 2*s + s - 7*s**2 to the form l*s + j + w*s**2 and give l.
-2
Rearrange 23*r - 5*r**3 + 2*r**2 - 5 - 29*r + 5*r to the form m*r**3 + a*r + d + o*r**2 and give a.
-1
Rearrange 11*s**2 + 4*s**2 - s**2 to the form p + a*s + y*s**2 and give y.
14
Express -59 + 59 + 26*r as k*r + s and give k.
26
Express 40*z**4 + 16*z**4 - 15*z**4 + (1 - 1 + z)*(2*z**2 + 2*z**3 - 2*z**2) in the form u + x*z**4 + s*z**2 + y*z**3 + n*z and give x.
43
Express 2*n**2 - n**2 + 9*n**2 + 6*n**2 in the form y*n + k*n**2 + f and give y.
0
Express (2 - 2*r**2 - 2)*(2*r - 2 + 2) + r**3 - 3*r**2 + 8*r**3 - r**2 as f + m*r + y*r**2 + v*r**3 and give y.
-4
Rearrange 3*o**4 + 3*o**3 - 2 - 1 + 1 + 2*o - 9*o**3 to y*o**3 + c*o + p*o**4 + v + f*o**2 and give y.
-6
Rearrange (2*y + y**2 - 2*y)*(-2*y - y + 2*y)*(0 - 2 + 5)*(y + 2*y - 4*y) to the form v*y**4 + c*y**2 + k*y + d + o*y**3 and give v.
3
Express 0*d - 18*d + 0*d in the form x*d + k and give x.
-18
Express (h - 8 + 8)*(4 - 4 - 2)*(2*h**2 + h**2 - 6*h**2) in the form r*h + t*h**2 + k*h**3 + c and give c.
0
Rearrange j**2 + 164 + j - 2*j - 165 to n*j + w*j**2 + u and give u.
-1
Rearrange (-3 + 0 + 5)*(10*o**3 - 7*o**2 - 2*o**2 + 7*o**2) + 4*o**3 + 0*o**3 - o**3 to the form y*o**2 + g + a*o**3 + u*o and give g.
0
Rearrange -9 - 3*i**3 + 0*i**3 + 1 + 2*i**3 to the form z*i**2 + y*i + d + h*i**3 and give h.
-1
Rearrange (13 + 1 - 3)*(w + w + w)*(-3*w + 3*w + 2*w**2) to l + q*w**2 + k*w + t*w**3 and give t.
66
Rearrange -4*u**4 + 1 + 3*u**4 - 55*u**2 - u + 55*u**2 to the form s*u**3 + o*u**2 + d*u**4 + b + m*u and give b.
1
Express (0 - 5 + 2 + (-3 + 2 + 2)*(-6 - 1 + 5))*(1 - 2 - 1)*(-2*c**2 + 14*c**2 - 6*c**2) as r*c + m*c**2 + g and give m.
60
Express (-q**3 + 3*q**3 - 3*q**3)*(2*q + 0*q - 3*q) - 402 + 20*q**4 + 402 as v*q + z*q**3 + j*q**4 + u + p*q**2 and give j.
21
Rearrange 2*a**2 - 4*a**2 + 6*a**2 - 48*a - 5*a**2 to the form r*a**2 + h + m*a and give m.
-48
Rearrange -2*j**4 + 15*j**2 + 0 + 4*j**4 + 1 to the form u*j**2 + q*j**3 + l*j**4 + r*j + k and give k.
1
Express 5*i + i - 4*i + 3 - 2*i - 3 + (-i - 4*i + 4*i)*(0 + 0 - 1) as a + h*i and give h.
1
Express (-9 + 9 + 5*j)*(3 - 2 - 4) + (0*j + 0*j - j)*(-1 - 2 + 4) in the form x*j + v and give x.
-16
Rearrange 17*f**2 - f**3 - 44*f**2 + f**2 + f - 23*f**2 to the form n*f**2 + y*f + h*f**3 + u and give h.
-1
Express t**2 - 8 - 1 + 10 - 4*t**3 as f*t**2 + b*t**3 + g*t + p and give p.
1
Rearrange -8 - 18*n + 6*n**4 + 2*n + 14*n to the form u*n**4 + q*n**2 + h + v*n + y*n**3 and give v.
-2
Rearrange (0 - 1 + 4)*(b + 5 - 4*b + 4*b) to r*b + n and give n.
15
Rearrange -2*f**3 + 4*f - 2*f + 2*f**2 - 4*f**2 + (-1 - 2 + 5)*(4*f**3 - 4*f**3 - 2*f**3) to the form d + g*f**3 + n*f**2 + k*f and give k.
2
Rearrange (1 - b - 1)*(-3 + 3 - 5*b) + (-2 + 2 + b)*(-1 + 5*b + 1) to the form m + h*b**2 + c*b and give h.
10
Express 4*u - u**2 - 2*u**2 + u**2 + 3*u**2 in the form w + d*u**2 + p*u and give p.
4
Express 1 + 2 - 3*k**3 + 10*k**3 as m*k + a + s*k**3 + l*k**2 and give a.
3
Express 6 - 2*y + 4 + 8*y**3 + 5*y - 12 as p + n*y**3 + c*y + q*y**2 and give c.
3
Rearrange -k**2 + 2 - 4*k**4 + k**3 - 2 + 2 + 2*k to j*k**2 + g*k**4 + s*k**3 + o*k + b and give s.
1
Rearrange 387*o - 182*o - 112*o to the form x + s*o and give s.
93
Express (36*p**2 - 17*p**3 - 36*p**2)*(2*p - 5*p + p) - 1 - 3*p**4 + 1 in the form v*p**3 + f*p**2 + i*p**4 + t*p + c and give i.
31
Rearrange -8 + 10 + 93*u - 2 to the form h
|
{
"pile_set_name": "DM Mathematics"
}
|
h. Calculate the highest common divisor of t and d.
10
Suppose 5*x + 0*v + 4*v - 1673 = 0, -x - 5*v + 343 = 0. Suppose 0 = -3*i - 3, -4*r + 4*i + 132 = -20. What is the greatest common factor of x and r?
37
Let k = 126 + 14. What is the greatest common divisor of k and 28?
28
Suppose 9*c = 11*c + 6, -4*a + 4*c = -44. Calculate the greatest common divisor of 40 and a.
8
Suppose 4*c = 4*k + 100, -k + 66 = 64. Suppose -d - 2*d + 162 = 3*v, -162 = -3*d + 4*v. Calculate the greatest common factor of c and d.
27
Let f = -69630 - -69679. Let k(r) = r**2 - 8*r + 4. Let d be k(4). Let o = d - -19. What is the greatest common divisor of f and o?
7
Let o = 26499 + -26493. Let f = 5 - 2. What is the greatest common divisor of f and o?
3
Suppose -2*r - 76 = 3*y, y - 2*y + 2*r - 12 = 0. Let d be 3 + 4/y + 774/22. What is the greatest common divisor of d and 38?
38
Suppose -16*t + 1158 = 326. What is the greatest common factor of 39 and t?
13
Let b = 66 - 14. Let a = b - 16. Calculate the highest common divisor of a and 9.
9
Let a = 238 + -235. Calculate the greatest common divisor of 27 and a.
3
Let o(v) = 6*v**2 + 21*v - 18. Let d be o(15). What is the highest common factor of 54 and d?
27
Let f be 574/70 - (3 - (-28)/(-10)). What is the highest common divisor of 260 and f?
4
Let u = 231 + -210. Calculate the greatest common factor of u and 1743.
21
Let u(h) be the second derivative of -1/20*h**5 + 3*h + 0 - 13/2*h**2 + 2/3*h**3 + 3/4*h**4. Let r be u(9). Calculate the highest common divisor of 207 and r.
23
Let u = -14 - -31. Let i = -294 - -481. What is the highest common factor of i and u?
17
Let d be -1 - (6/(-2) - 97). Let q(x) = 10*x**2 + 5 - 2*x**2 + x**3 + 15 - 8*x. Let o be q(-9). What is the greatest common factor of o and d?
11
Let m = -1207 + 1262. What is the greatest common factor of m and 396?
11
Let m be (-161)/(-35) - 27/45. Let j = -1 + 2. Calculate the greatest common divisor of m and j.
1
Let m = -9 - -14. Suppose -2*d = -m*d. Let w be -2 - (20 + d)/(-1). What is the highest common divisor of 144 and w?
18
Suppose 138*p = 130*p + 360. What is the highest common divisor of p and 90?
45
Let c = 9 - 9. Let l be (-7)/(c + (-3)/27). What is the highest common divisor of 9 and l?
9
Let l = -547 + 558. Suppose -223 = -3*x - 4*z, 150 = 4*x + 3*z - 152. What is the highest common divisor of x and l?
11
Let w be -168*(-17)/((-357)/(-18)). What is the highest common divisor of 180 and w?
36
Let p(m) = 5*m**2 - 2*m + 2. Let h be p(1). Suppose -h*k = -3*u - 3*k + 15, 2*u - 2*k - 8 = 0. Calculate the highest common factor of 7 and u.
7
Let x be (-1 - 1) + -1 + 6. Suppose v + 10 = -x*v - 2*t, 2*t + 4 = -v. Let b = v - -17. What is the highest common factor of b and 30?
15
Suppose 2*o - 4 = -4*h, 0 = 4*o + 2 + 6. Suppose 6*x - 8 = h*x. What is the greatest common factor of 16 and x?
2
Let q(n) = -n**3 - 2*n**2 - 2*n + 1. Let x be q(-3). Let k = x + 0. Calculate the greatest common divisor of 2 and k.
2
Suppose -10 + 2 = -b. Suppose 523*o = 562*o - 312. Calculate the highest common divisor of o and b.
8
Suppose -53 = -4*w + 127. What is the highest common divisor of w and 72?
9
Let f be (-216)/36 - -1*24. What is the greatest common factor of f and 354?
6
Suppose -4*w - 4*c + 1184 = 0, 0 = -w - c - 2*c + 294. Suppose 4*a = a + w. What is the highest common factor of a and 11?
11
Let l be 69/(4*9/132). What is the highest common factor of l and 46?
23
Let s = 128 - 84. Let p = 89 - s. What is the highest common divisor of p and 5?
5
Suppose 5*r - 112 = 48. What is the highest common factor of r and 4?
4
Suppose 29*m = 22*m + 77. Suppose p = 4*d - 8 + 27, 18 = 2*p + 2*d. What is the greatest common factor of p and m?
11
Suppose -5*x + 6*x = 50. Calculate the highest common factor of 20 and x.
10
Let t(k) = -3*k + 158. Let y be t(20). Let g be -4 + 0 - -2 - -16. What is the highest common factor of y and g?
14
Let o(t) = -9*t - 2. Let k be o(2). Let b = 26 + k. Calculate the highest common divisor of b and 15.
3
Let g(c) = -c**3 + c + 6. Let y be g(0). Suppose 103*r - 288 = 87*r. What is the greatest common factor of r and y?
6
Suppose 3*u + s - 562 = 0, -3*s = 2*u + 2*s - 379. Let y(f) = f**2 - f + 5. Let d be y(4). Calculate the greatest common factor of u and d.
17
Let h(v) be the third derivative of v**5/15 + v**4/12 + v**3/2 - 23*v**2. Let z be h(-8). What is the highest common factor of z and 27?
27
Suppose -5*u - 212 + 42 = 0. Let s = u + 60. Suppose -40 - s = -2*t. What is the greatest common divisor of t and 11?
11
Suppose 7*r = -129 + 7983. Calculate the highest common factor of r and 17.
17
Suppose -330 = 278*i - 293*i. Calculate the greatest common factor of i and 946.
22
Suppose -18*i + 15 = -13*i. Let h(j) = -j**3 + 5*j**2 + j + 1. Let g be h(5). What is the highest common factor of g and i?
3
Let o(d) = 5*d + 1. Let i be o(1). Let s(b) = b**3 - 4*b**2 - 5*b + 4. Let c be s(i). Suppose -4 - c = -5*j. What is the greatest common divisor of j and 5?
5
Let t be (-1600)/(-12) - (-1)/(-3). Calculate the greatest common divisor of 14 and t.
7
Let w = 551 - 111. What is the highest common divisor of 360 and w?
40
Let f be 0/(-2)*(25 - 26) + 125. Calculate the greatest common factor of 175 and f.
25
Suppose -3*q - 5*k + 242 = 0, -q + 4*k = -0*q - 109. Let g = 27 - q. Let t = -41 - g. What is the highest common factor of 147 and t?
21
Suppose 8*q + 4 = -4. Let a be (1/q)/(10/(-550)). Calculate the highest common factor of a and 11.
11
|
{
"pile_set_name": "DM Mathematics"
}
|
when (-356)/(-22) + q/(-33) is divided by p?
1
Let d be (-34)/(-10) - 4/10. Suppose i - j - 65 = -2*i, 3*i - 69 = -d*j. Suppose 0 = -s + p + 6 + 6, -3*p = 12. What is the remainder when i is divided by s?
6
Suppose 11 = -6*x + 23. Suppose 3*u - 5*g = 56 - 21, -x*u + 17 = 3*g. What is the remainder when 198 is divided by u?
8
Suppose 5*k - 5 = -2*r + 17, -3*r = -4*k + 36. Let q = 13 - k. Let j = q - -14. Calculate the remainder when 60 is divided by j.
18
Suppose g + 40 = -4*g. Let v be ((-30)/3)/(3/(-12)). What is the remainder when 45 is divided by (g/10)/((-2)/v)?
13
Let o be (-5 + 15/25)/((-3)/(-75)). Let q = 183 + o. Calculate the remainder when q is divided by 19.
16
Suppose 48*b - 78 = 46*b. Calculate the remainder when 38 is divided by (-40)/(-60)*b/2.
12
Suppose 0 = -3*r - 4*h + 81, 4*r - h - 58 - 31 = 0. What is the remainder when 385 is divided by r?
17
Suppose 4*m + 436 = 1708. Calculate the remainder when m is divided by 46.
42
Let x(v) = v**3 - 2*v**2 - 3*v + 16. Suppose -40 = -4*h - f, -5*h + 0*f + 2*f = -50. Calculate the remainder when x(0) is divided by h.
6
Suppose 12 = 4*g - v, -2*g - 2*v = 2 + 2. Let k be (g + -4)/((-1)/54). Suppose 27 - k = -3*p. Calculate the remainder when 53 is divided by p.
26
What is the remainder when 59 is divided by 7 + -15 + 12 - (-21 - 0)?
9
Let p = 72 + -6. Suppose 9*n = 12*n - p. Let a = 122 - 79. What is the remainder when a is divided by n?
21
Let t = 63 + 32. What is the remainder when t is divided by 3?
2
Suppose -t = -4*y + 1 + 10, 5*y = -4*t + 40. What is the remainder when (-6 + t)*39/(-1) is divided by 11?
6
Suppose -34*m + 952 = -17*m. What is the remainder when 209 is divided by m?
41
Suppose 63*b + 32*b - 1358 = -2*b. Let m be 6/4*(1 - -1). Suppose -32 = -m*v + 85. What is the remainder when v is divided by b?
11
What is the remainder when ((-78)/4)/((-48)/64) is divided by 10?
6
Let m = -7 + -2. Let o(c) = c + 15. What is the remainder when 10 is divided by o(m)?
4
Suppose -30 = -3*l - 2*l - 5*a, 4*l = -5*a + 28. Suppose -8 = -3*g - l*z, -4*g - 3*z = -7*g + 33. Calculate the remainder when g is divided by 4.
2
Suppose c = 3*g - c - 17, 0 = -2*g + c + 13. Calculate the remainder when 35 is divided by g.
8
What is the remainder when (27 - 23) + 0/1 + 1152 is divided by 129?
124
Suppose -2*j - 3*i = -12, -5*i = 3*j - i - 17. Let w = 27 + j. Calculate the remainder when 87 is divided by w.
27
What is the remainder when 243 - (-19 - (1 + -9)) is divided by 91?
72
Suppose h + 6 = 272. Suppose -5*k = 4*v - 235 - 128, 5*k = -3*v + h. What is the remainder when v is divided by 20?
17
Let m(c) = 17 + c**3 - 17 - 3*c - 3*c**2. Let s be m(4). What is the remainder when (-4)/(-6)*708/s is divided by 30?
28
Suppose b - 15 = -2*b. Suppose 0 = -b*j + w + 4*w + 315, 4*j + 5*w = 216. Suppose 4*g = 5*g - j. Calculate the remainder when g is divided by 20.
19
Suppose -4*a - 5*y + 28 = -3*y, 0 = 3*a - y - 16. What is the remainder when ((-92)/(-22))/(-13*(-18)/1287) is divided by a?
5
Suppose -4*x + 2*l = -2536, l - 4*l = -4*x + 2534. Calculate the remainder when x is divided by 91.
89
Let q(m) = 44*m - 4. Let v be q(-2). Let u = -73 - v. What is the remainder when u is divided by 5?
4
Let f(s) = 2*s + 56. Calculate the remainder when 36 is divided by f(-25).
0
Let z(l) be the second derivative of -7*l**3/6 + l**2/2 - 2*l. Let u be z(1). Let i(s) = 2*s**2 + 9*s + 6. Calculate the remainder when i(u) is divided by 13.
11
Let q(c) = c + 2. Let b be q(-3). Let s be b/4 - 570/24. What is the remainder when 47 is divided by -1 + -2 - (s - 3)?
23
Let m(a) = 131*a**2 + 4*a + 4. What is the remainder when m(-1) is divided by 12?
11
Let d = -61 - -58. Calculate the remainder when 57 is divided by (3 - 5)/(d*(-2)/(-87)).
28
What is the remainder when (-1664)/(-10) - (-8)/(-20) is divided by 25?
16
Let g be 4 - (-4 - (-3 + -3)). Suppose -g*z = -0*z - 34. Calculate the remainder when z is divided by 4.
1
Let a = 55 - 3. Let m = 11 + 7. Calculate the remainder when a is divided by m.
16
Suppose 3*x = 15 + 3. Let w be ((-4)/(-12))/(1*1/(-309)). Let n = w - -114. Calculate the remainder when n is divided by x.
5
Let p(d) be the first derivative of -d**4/4 + d**3/3 + d**2/2 - 2*d - 8. Let t be p(2). What is the remainder when 0 - ((-492)/t)/(-3) is divided by 14?
13
Let x = 1894 + -1885. Calculate the remainder when 304 is divided by x.
7
Suppose 443 = 2*q + 3*z, 0 = 4*z - 3 - 9. Let d = q - 22. What is the remainder when d is divided by 33?
30
Let x(o) = 11*o - 3. Let c be x(18). Let b be (-3)/((-3)/(-1)) + 102. Suppose 4*t - b = c. Calculate the remainder when t is divided by 19.
17
Suppose 2*y - 4*h + 8 = 0, 5*y + 5*h - 14 - 41 = 0. Suppose 3*m - 5*c = -13, c + 11 = y*m - 2*m. What is the remainder when (4/(-5))/((-4)/30) is divided by m?
2
Let v(u) = -u - 12. Let d be v(5). Let k = d + 23. Let h = 9 - 5. What is the remainder when k is divided by h?
2
Suppose 6*m = 2*m - 312. Let j = -48 - m. Let s = -7 + j. Calculate the remainder when s is divided by 12.
11
Let u = 44 - 41. Let t(w) = 0 + 2*w**2 - 1 - 1 + 5*w. Calculate the remainder when t(-4) is divided by u.
1
Suppose 514 = 28*x + 122. Let l be (-3)/6 + (-66)/(-4). Suppose -p = -l - 38. What is the remainder when p is divided by x?
12
Let f = -235 - -384. What is the remainder when f is divided by 75?
|
{
"pile_set_name": "DM Mathematics"
}
|
*z(a). Calculate o(p(g)).
25*g**2 + 20
Let l(q) = 225*q - 50. Let s(r) = 5*r - 2. Let t(h) = l(h) - 25*s(h). Let o(u) = 3*u**2. Give o(t(i)).
30000*i**2
Let p(q) = -2*q. Suppose -v - j = -5*v + 231, 3*v = -5*j + 202. Let d(s) = 27*s - 63 - 7*s - 13*s - 11*s + v. Give p(d(u)).
8*u + 8
Suppose -4*c + 3*n + 7 = 2*n, 5*c - 20 = 5*n. Let z(o) = c + 1 - o**2 - 1 - 1. Let k(v) = -64*v**2. Determine k(z(u)).
-64*u**4
Let x(g) = -11*g**2 - 6704*g. Let t(y) = -9*y**2 - 6701*y. Let d(o) = -5*t(o) + 4*x(o). Let p(s) = -s**2. Calculate d(p(v)).
v**4 - 6689*v**2
Let q(w) be the second derivative of w**4/12 + w. Let v(d) be the third derivative of 19*d**5/12 - 25189*d**2. Give q(v(z)).
9025*z**4
Let f(w) = -w + 81 - 70 - 11. Let k(s) = -s**2 + 2*s + 1. Let o be k(-1). Let j(l) = l. Let t(y) = o*j(y) - f(y). Let h(v) = v**2. Determine t(h(a)).
-a**2
Let s be (1/4)/(-2 - (-438)/216). Let z(h) = s*h - 11*h + 0*h. Let n(w) = 21*w - 63. Let o(a) = 1. Let u(q) = -n(q) - 63*o(q). What is z(u(x))?
42*x
Let p(j) = 39*j - 110*j + 53*j + 1 + 6. Let v(m) = 10*m - 4. Let o(h) = 4*p(h) + 7*v(h). Let d(r) = -12*r - 6*r - 6*r + r. Calculate d(o(u)).
46*u
Let a(h) = -h - 2. Let s(t) = 2*t + 3. Let r(d) = 3*a(d) + 2*s(d). Let b(m) = -16807*m. What is r(b(j))?
-16807*j
Let i(f) = -f**2 - 26*f. Let p(m) be the third derivative of -m**6/360 - 86*m**3/3 + 26*m**2 + 4. Let h(g) be the first derivative of p(g). What is h(i(y))?
-y**4 - 52*y**3 - 676*y**2
Let y(k) = 93*k - 34*k - 23*k - 38*k. Let t(l) = 1215*l**2 - 55. Let h(i) = 45*i**2 - 2. Let b(x) = -55*h(x) + 2*t(x). Determine y(b(a)).
90*a**2
Let r(c) = -7*c**2. Let u(x) = -4*x + 203178. Determine u(r(q)).
28*q**2 + 203178
Let u(a) = -59*a + 3. Suppose -21*b + 0*b - 42 = 0. Let t(v) = 238*v - 12. Let h(g) = b*t(g) - 9*u(g). Let f(n) = n**2. Calculate f(h(z)).
3025*z**2 - 330*z + 9
Let w(h) = h**2. Let l(r) = 993*r + 8. Let y(a) = -3309*a - 27. Let p(k) = -27*l(k) - 8*y(k). Give w(p(s)).
114921*s**2
Suppose 18*f = 4*l + 23*f + 8, -f = 2*l - 2. Let h(w) be the third derivative of -5/12*w**4 - l*w**2 + 0*w**3 + 0 + 0*w. Let p(c) = c**2. Determine p(h(r)).
100*r**2
Let w(a) = 4*a**2 + 3*a - 3. Let f(b) = -15*b**2 - 11*b + 11. Suppose 8 + 22 = 5*p. Let g(n) = p*f(n) + 22*w(n). Let x(j) = -66*j**2. Calculate g(x(h)).
-8712*h**4
Let a(d) = 2*d**2. Let t = -4719 + 14159/3. Let o(w) be the first derivative of 13 + 0*w**2 + t*w**3 + 0*w. Give o(a(q)).
8*q**4
Suppose -49330 = -20*i + 64490. Let z(w) = -i*w**2 + 11381*w**2 - 5689*w**2. Let u(o) = o**2 - 19*o. Give z(u(y)).
y**4 - 38*y**3 + 361*y**2
Let d(u) = -u**2. Let o(t) = 19*t + 3790. Let f(i) = 5*i + 949. Let h(s) = 15*f(s) - 4*o(s). Give h(d(g)).
g**2 - 925
Let l(a) = -607*a - 2. Let c(v) be the third derivative of -v**4/24 + 39*v**2 + 8*v. Calculate c(l(t)).
607*t + 2
Let j(w) = -2*w + 3182. Let h(z) = -887*z + 2. Give j(h(y)).
1774*y + 3178
Suppose 2967 = 3*c - 3*d, 3*d + 5 - 2 = 0. Let f(i) = -c*i - 2*i**2 + 988*i. Let p(g) = -54*g + 1. Determine p(f(w)).
108*w**2 + 1
Let c(g) = -g**2. Let t(b) be the third derivative of b**4/6 - 37*b**3/6 - 12*b**2 + 36*b. Determine t(c(w)).
-4*w**2 - 37
Let f(w) = -5*w**2 - 11*w. Let b(u) = -3*u**2 - 6*u. Let r(m) = 11*b(m) - 6*f(m). Let v(i) = -33*i - 26*i - 41*i - 13*i + 76*i. Determine v(r(k)).
111*k**2
Let b(m) = 3*m - 2. Let h(l) = -915516*l + 1. Calculate b(h(j)).
-2746548*j + 1
Let c(l) be the third derivative of 11*l**5/60 - 5*l**4/24 - l**3/2 - 12*l**2 + 316. Let q(h) = -2*h. What is c(q(v))?
44*v**2 + 10*v - 3
Let o(m) = 624*m. Let p(r) = 2*r**2 + 273*r - 2. Determine o(p(j)).
1248*j**2 + 170352*j - 1248
Let a(b) = 0*b - 2*b + 4216 - 4538 + 4*b + 2*b. Let t(k) = k**2. Give t(a(v)).
16*v**2 - 2576*v + 103684
Suppose 5*l + 4*k - 1439 = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
t 0, -117, -3 in increasing order.
-117, -3, 0
Sort -4, 1, -3, 9, -8 in ascending order.
-8, -4, -3, 1, 9
Put -83, -3, -2, -1 in increasing order.
-83, -3, -2, -1
Sort 2/385, -3/7, 8 in ascending order.
-3/7, 2/385, 8
Put -5, -14, -4 in ascending order.
-14, -5, -4
Sort 5, 2, -2/9, 24.9, -3 in increasing order.
-3, -2/9, 2, 5, 24.9
Sort 0, 32, 4, 5, 21 in decreasing order.
32, 21, 5, 4, 0
Put 344, 1, 0 in increasing order.
0, 1, 344
Put -4, 81, 8, 2 in descending order.
81, 8, 2, -4
Sort 211, 1, -3 in descending order.
211, 1, -3
Sort 4.1, -4, 5, 1.3 in decreasing order.
5, 4.1, 1.3, -4
Sort 546, -3, -4 in decreasing order.
546, -3, -4
Put 17, 3, -5, -2/7 in descending order.
17, 3, -2/7, -5
Sort 1/270, -0.3, 0.4, -3 in descending order.
0.4, 1/270, -0.3, -3
Sort 260, -1, 0 in ascending order.
-1, 0, 260
Sort 1, 0, 4.
0, 1, 4
Put -1/4, -7, 0.06 in decreasing order.
0.06, -1/4, -7
Put 1/2, -2, -170 in increasing order.
-170, -2, 1/2
Put -3, -33, -2, -1, 3 in descending order.
3, -1, -2, -3, -33
Sort 4, -1, -3, 50.
-3, -1, 4, 50
Sort -0.4, -0.08, -0.3, -1 in decreasing order.
-0.08, -0.3, -0.4, -1
Sort -5, 1, 4, -30 in decreasing order.
4, 1, -5, -30
Sort 9, 5, 4 in increasing order.
4, 5, 9
Put -1, 0, 206, 1 in increasing order.
-1, 0, 1, 206
Sort 1, 0.18, -5, 5/12, 3 in ascending order.
-5, 0.18, 5/12, 1, 3
Sort 4, -1, 1733 in decreasing order.
1733, 4, -1
Sort -5, -0.5, 1, 2/15.
-5, -0.5, 2/15, 1
Put 0, 31, -1, -2, 3 in ascending order.
-2, -1, 0, 3, 31
Sort 0.5, 4/5, -1, -0.2 in ascending order.
-1, -0.2, 0.5, 4/5
Sort -0.3, 0.12, -19, 0.15.
-19, -0.3, 0.12, 0.15
Put 5, 30, 3, -1, -5 in ascending order.
-5, -1, 3, 5, 30
Put 3, 2, 21 in descending order.
21, 3, 2
Put -1/6, -5.8, 4 in descending order.
4, -1/6, -5.8
Sort 0, -6, -29, -4, -5 in increasing order.
-29, -6, -5, -4, 0
Sort -11, 0.067, 0 in increasing order.
-11, 0, 0.067
Sort -1/6, 0, 4/9, -4, 0.05 in ascending order.
-4, -1/6, 0, 0.05, 4/9
Sort 4, 1/40, 0.3.
1/40, 0.3, 4
Sort 2/19, 0.5, -5 in ascending order.
-5, 2/19, 0.5
Put -1/25, -6/11, 1 in ascending order.
-6/11, -1/25, 1
Put 12, -19, -5 in descending order.
12, -5, -19
Sort -1797, 2, 7.
-1797, 2, 7
Put 0, -25, -6 in decreasing order.
0, -6, -25
Put -11, -8, -2, -3 in ascending order.
-11, -8, -3, -2
Sort 4, -0.13, -7 in descending order.
4, -0.13, -7
Sort 5, -4, -3, 49, -2 in increasing order.
-4, -3, -2, 5, 49
Put 14, -3, -8 in decreasing order.
14, -3, -8
Put 0.6, -3, -0.2, -2, -4 in ascending order.
-4, -3, -2, -0.2, 0.6
Put -1, 7/3, -3, -2/19 in ascending order.
-3, -1, -2/19, 7/3
Put 2/11, -5/2, 0.2, 1/9, -0.13 in ascending order.
-5/2, -0.13, 1/9, 2/11, 0.2
Sort 3, 2, -17, 177.
-17, 2, 3, 177
Put 1, -3, 0 in increasing order.
-3, 0, 1
Sort -2/7, 0.82, -2/9.
-2/7, -2/9, 0.82
Sort -2/3, 1, 3, -2/11 in decreasing order.
3, 1, -2/11, -2/3
Sort -1/6, 4, -71 in descending order.
4, -1/6, -71
Put 0.5, 2/13, -5.068 in ascending order.
-5.068, 2/13, 0.5
Put 26, 3, -4 in ascending order.
-4, 3, 26
Sort 0, -3/2, -3384.
-3384, -3/2, 0
Put 5, -76, -1, -2 in increasing order.
-76, -2, -1, 5
Sort -4, 3, 2, -10, 5 in descending order.
5, 3, 2, -4, -10
Put 2, 62, -3 in decreasing order.
62, 2, -3
Put -0.3, 0.1, 3, 0.7, -17 in ascending order.
-17, -0.3, 0.1, 0.7, 3
Sort -5, 2, -10, -7 in decreasing order.
2, -5, -7, -10
Put 5, 1, -2, 0, 7 in decreasing order.
7, 5, 1, 0, -2
Put -2, 19, 55 in ascending order.
-2, 19, 55
Sort -107, -3, -2 in descending order.
-2, -3, -107
Put -1, -5, -4, -21 in increasing order.
-21, -5, -4, -1
Put -6, -463, 0, -4 in decreasing order.
0, -4, -6, -463
Sort 2, 265, 0.5, 0.3, -0.2 in increasing order.
-0.2, 0.3, 0.5, 2, 265
Put -2, -1, -42 in ascending order.
-42, -2, -1
Sort -1, 5, 34, -2.
-2, -1, 5, 34
Sort -6, 0.5, 36 in descending order.
36, 0.5, -6
Put 51, 2, 0, -4, 5 in decreasing order.
51, 5, 2, 0, -4
Sort 0, -406, 4 in descending order.
4, 0, -406
Sort 48, -1/9, -1.
-1, -1/9, 48
Put -2, 3, 139 in decreasing order.
139, 3, -2
Put -1/6, -4/5, -0.2, 4, 0.1 in descending order.
4, 0.1, -1/6, -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
15).
52
What is the value of 0 + 199 - 41 - 21?
137
What is the value of 0 - 0 - 30 - -97?
67
40 - (-14 + -3 - (119 + -154))
22
Evaluate 507 + -487 + (11 - 0) - 60.
-29
Calculate 63 - ((21 - 34) + 82).
-6
What is the value of (41 - (99 - 19)) + -6?
-45
What is (25 - 14) + -12 + -1 + -1?
-3
Calculate -163 + (59 - 11) - (18 - (9 + -5)).
-129
78 - ((148 - 140) + (15 + -4 - 5))
64
Evaluate -4 + (6 - (-1 - -5)) - (44 + -87).
41
Calculate -7 - 1 - (-4040 + 4074).
-42
What is -11 + -5 + 4 + (-1 - -10 - 2) - -17?
12
What is -38 - (-141 + -29 + -3 + 23)?
112
Evaluate -108 + 4 + 26 + 119.
41
-2 - 68 - (1 - 3 - (-23 + -24 + 51))
-64
11 + 16 + -27 - ((17 - -17) + (5 - 1))
-38
Evaluate (-10 - -1) + -8 + -54 + 70.
-1
Evaluate (7773 - 7776) + (-2 - 22 - -1).
-26
What is 1 + -9 - (2043 - 2121)?
70
Evaluate (-4 - 2 - -68 - (51 - 43)) + -9.
45
33 + (108 - (24 - (-1 + -9)))
107
Evaluate -45 + (42 + 6 - 56).
-53
What is (4 - 0) + 2 - ((5 - (-105 - 7)) + -5)?
-106
Calculate -4 - (67 + 47 + -122).
4
Calculate 13 - ((-17 - -14 - (15 + 5 + -12)) + 7).
17
-148 - (-219 - (-187 - -124))
8
What is -4 - 0 - (-14 + 2 + (-186 - -216))?
-22
Evaluate -49 - (9 + -2 - 43).
-13
What is the value of -5 - (-30 + -10 + 5 + (6 - 8))?
32
Evaluate 65 + -2 - (-720 + 854).
-71
What is the value of 6 - ((-77 - 18) + 64)?
37
Evaluate (1 - (-6 + 2)) + (-744 - -745).
6
What is the value of (49 - 43) + 2 - (1 - (-5 + 3))?
5
-51 - -18 - (-23 + -47)
37
What is (-38 - 0) + (-3 - (13 + -9 - -2))?
-47
Calculate -101 + (9 - 10) + 19 + (-21 - -6).
-98
What is the value of -20 + 12 - 42 - (65 - 57)?
-58
Calculate -26 + (28 + 3 - 57).
-52
What is the value of (17 - -63) + -13 - 34?
33
Calculate -59 + (-1 - ((-2 - -7) + 4 + -10)) + -4.
-63
(-4 - -12) + 15 + 4 + 11
38
What is 35 + (-12 - (-11 + (6 - (-15 - -4 - -8))))?
25
Calculate -116 + 2 - (-312 - -122).
76
-4 - (6 - -7 - 14 - (-1 + 1) - -70)
-73
Calculate -23 - (8 + (20 - -37)) - 15.
-103
Calculate 48 + (78 - (159 + -75)).
42
What is the value of -58 + 2 + (2 - -10 - (100 + -102))?
-42
61 + ((13 - (-29 - -13)) + -23 - (0 + -5))
72
What is the value of 81 - (7 - (-38 + (17 - -2)))?
55
What is (-6 - 17 - -1) + (-21 - -3)?
-40
What is the value of -86 - (-95 + 48 + 11)?
-50
What is the value of (-61 - 5 - -3) + (2135 - 2102)?
-30
Calculate -84 + -5 + 65 + -40.
-64
What is (-60 - 0) + (-30 - -11 - -24) + -9?
-64
What is the value of (84 - 186) + (0 - -87)?
-15
Calculate -67 + -48 + -56 + 264 + (1 - 1 - 5).
88
Evaluate -27 + -12 - (-70 - -85).
-54
Evaluate -32 + (35 - 16) + -17 + (-28 - 33).
-91
What is the value of -32 + 127 + -100 + (-3 - -1) + -64?
-71
Evaluate 3 + (-3 - 0) - ((-40 - -81) + 10).
-51
Calculate (1 - -39) + (1 - -3) + (9 - (17 - 13)).
49
Evaluate 232 + (18 - 127) + 14.
137
What is the value of -1 + 0 - -6 - (-11 - (7 + 22))?
45
Evaluate 9 + 3 + (3 - (8 - 1)) - 40.
-32
What is the value of -105 - (2 - 102 - -78)?
-83
Calculate (42 - 29) + -26 + (5 - -9).
1
What is 39 + -1 + 0 + (0 - -1) + (-21631 - -21631)?
39
What is -5 + 2 - (11 + -1 - (31 - 24 - -69))?
63
What is 14 + -27 + -1 + 18 - (-1 + -13 + -4)?
22
Calculate -42 - ((-1 - -1) + 679 + -647).
-74
Evaluate (4937 - 4944) + (1 - 41 - 3).
-50
Evaluate -89 - (0 - (24 + (12 - 22))).
-75
What is -106 - (-59 + -96) - -75?
124
Evaluate (-73 - -13 - -46) + 35.
21
What is 29 - 0 - (94 - (81 + -12))?
4
-5 + 5 - -12 - (-557 - -517)
52
-143 + 200 + 4 + 11 + -9
63
21 - (70 + -17 + 5 + -8)
-29
What is (-4 - -16) + -5 + -35 + -14 + 4?
-38
Calculate -97 + 251 + (-24 - 50).
80
126 + 0 + (164 - 286)
4
Calculate (1 - 5 - -24 - 9) + -26 + 1.
-14
(-91 - -10) + 10 + (-19 + (-7 - -6) - -11)
-80
What is the value of 9066 + -9070 - (-1 + -80)?
77
What is -20 + 6 + 1 + (-99 - -50) + 46?
-16
What is the value of 35 + ((1 - (0 - -4)) + -300 + 295 - 2)?
25
Calculate (-17 - -2 - (-12 - -6)) + -23 + (6 - 2).
-28
Calculate (9951 - 10090) + (79 - -2).
-58
Calculate 65 + -144 + (172 - 82).
11
-104 + -48 + (60 - (-8 - -46))
-130
What is (73 - 9) + -695 + 638?
7
Evaluate 67 - 0 - (-2779 - -2835).
11
What is 0 + -111 + (49 - (278 - 245))?
-95
Calculate (71 - 7) + -10 + -1 + (-94 - -118).
77
Evaluate 11 - 32 - (592 + -526).
-87
107 - 0 - (48 + (-73 - (73 - 94)))
111
Evaluate 45 + -66 - ((16 - 24) + 18).
-31
-23 + -3 + 29 + -10 + 0 + 31
24
What is the value of 34 + -44 + (71 - 7) + -5 + 3?
52
-1 - 71 - -102 - 29
1
What is the value of 5 - (-22 + 21) - (4 + 30 - 4)?
-24
What is the value of 20 - (-4 + (11 - 8)) - (-37 - -9)?
49
(0 - -1)
|
{
"pile_set_name": "DM Mathematics"
}
|
cked without replacement from {q: 2, p: 4, x: 8}?
8/273
Calculate prob of sequence nb when two letters picked without replacement from {i: 2, n: 8, b: 4}.
16/91
What is prob of sequence avvf when four letters picked without replacement from ffvffaaffvvf?
7/990
What is prob of sequence vff when three letters picked without replacement from cvctmciifcfiicf?
1/455
Three letters picked without replacement from uuighuhuuiuriguuw. Give prob of sequence rii.
1/680
Calculate prob of sequence gkg when three letters picked without replacement from {q: 2, g: 2, k: 2}.
1/30
Three letters picked without replacement from {i: 1, p: 2, d: 1, o: 2, s: 1, x: 1}. What is prob of sequence opx?
1/84
Three letters picked without replacement from {u: 3, c: 4, t: 7}. Give prob of sequence tuu.
1/52
What is prob of sequence rz when two letters picked without replacement from gkkrzvkkgqqv?
1/132
Four letters picked without replacement from {i: 4, u: 2, t: 1, c: 1, b: 3}. Give prob of sequence ictb.
1/660
Two letters picked without replacement from zgzzzgzgzggzg. What is prob of sequence zz?
7/26
Calculate prob of sequence dd when two letters picked without replacement from {d: 7, s: 2}.
7/12
Two letters picked without replacement from jrrfjbpjfbbfpbcp. What is prob of sequence fp?
3/80
Three letters picked without replacement from {l: 1, w: 4, n: 3, t: 3}. Give prob of sequence ntt.
1/55
What is prob of sequence wii when three letters picked without replacement from wwijjjjjw?
0
Calculate prob of sequence nn when two letters picked without replacement from {v: 2, n: 2}.
1/6
Two letters picked without replacement from {x: 2, g: 8, n: 6, e: 1, c: 1}. Give prob of sequence xx.
1/153
What is prob of sequence xw when two letters picked without replacement from {w: 2, x: 3}?
3/10
Four letters picked without replacement from bbbbybbbbbbbr. Give prob of sequence rbyb.
1/156
Two letters picked without replacement from {z: 2, x: 8}. What is prob of sequence zz?
1/45
Four letters picked without replacement from {d: 4, p: 2, j: 1, c: 2}. Give prob of sequence pdjp.
1/378
Two letters picked without replacement from favafsasffafbffabf. What is prob of sequence bv?
1/153
What is prob of sequence ck when two letters picked without replacement from fcgkfsgfcksdff?
2/91
Calculate prob of sequence ppp when three letters picked without replacement from {g: 2, p: 3}.
1/10
Two letters picked without replacement from {g: 11, t: 2}. Give prob of sequence gt.
11/78
Two letters picked without replacement from dxiidiyiidiyidxidix. Give prob of sequence ii.
4/19
Two letters picked without replacement from siiqqqpsqiisiiiqqs. What is prob of sequence iq?
7/51
Calculate prob of sequence bbbx when four letters picked without replacement from swbxsxxbssbsbxw.
4/1365
Two letters picked without replacement from {f: 3, a: 5}. Give prob of sequence ff.
3/28
What is prob of sequence ldb when three letters picked without replacement from rccrcbdrlcmcdcb?
2/1365
Three letters picked without replacement from {s: 2, y: 2, i: 3, o: 1, c: 4}. Give prob of sequence yio.
1/220
Two letters picked without replacement from ssszzsszzssszsssssss. Give prob of sequence sz.
15/76
Two letters picked without replacement from ohoohohg. Give prob of sequence og.
1/14
Three letters picked without replacement from {z: 2, g: 10}. What is prob of sequence gzg?
3/22
Two letters picked without replacement from {g: 3, c: 3, v: 3, h: 4, q: 4}. What is prob of sequence hq?
1/17
Two letters picked without replacement from {b: 2, d: 1, y: 2, j: 1, m: 2, u: 1}. What is prob of sequence yb?
1/18
Three letters picked without replacement from {a: 8, m: 2}. Give prob of sequence amm.
1/45
Four letters picked without replacement from {q: 5, j: 1, r: 2, b: 1, o: 3}. What is prob of sequence qqqq?
1/99
Three letters picked without replacement from ssgqsgeeagagsa. Give prob of sequence eqe.
1/1092
Four letters picked without replacement from {z: 12, x: 7}. Give prob of sequence xxxx.
35/3876
What is prob of sequence ty when two letters picked without replacement from ftwytfp?
1/21
Four letters picked without replacement from {y: 1, e: 2, j: 4, p: 2, a: 1}. Give prob of sequence yape.
1/1260
Three letters picked without replacement from qgtvzzqqggigiggqq. What is prob of sequence gvz?
1/340
Two letters picked without replacement from ygyyo. Give prob of sequence gy.
3/20
What is prob of sequence gxx when three letters picked without replacement from bbbjbbjxllgglxblbbx?
2/969
Four letters picked without replacement from {y: 5, s: 7, k: 8}. Give prob of sequence ssss.
7/969
What is prob of sequence ipcc when four letters picked without replacement from {p: 1, c: 8, t: 7, i: 1}?
1/1020
Two letters picked without replacement from hqthckticth. Give prob of sequence cq.
1/55
What is prob of sequence uxu when three letters picked without replacement from aaauaauux?
1/84
What is prob of sequence iili when four letters picked without replacement from {i: 10, l: 2}?
4/33
Four letters picked without replacement from {f: 2, b: 1, g: 1, v: 1}. What is prob of sequence gfbf?
1/60
What is prob of sequence fns when three letters picked without replacement from ffsnffosossosoosoo?
1/204
Three letters picked without replacement from fcecfyycbsbeccbs. What is prob of sequence yfe?
1/420
Four letters picked without replacement from {u: 1, t: 1, o: 1, f: 1, x: 1, i: 2}. Give prob of sequence tiof.
1/420
Three letters picked without replacement from nnnnnbwwunnnwbunun. What is prob of sequence wnu?
5/272
Calculate prob of sequence rrh when three letters picked without replacement from {h: 5, r: 11}.
55/336
What is prob of sequence zd when two letters picked without replacement from zzgdglzzl?
1/18
Three letters picked without replacement from {x: 1, l: 1, f: 4, b: 2, e: 1}. What is prob of sequence bbb?
0
Four letters picked without replacement from pppjujunpppn. Give prob of sequence pjpj.
1/198
Four letters picked without replacement from uusssssuss. Give prob of sequence usus.
1/20
What is prob of sequence yx when two letters picked without replacement from xxyxxxxxxxxxxxx?
1/15
Calculate prob of sequence nmm when three letters picked without replacement from {n: 4, p: 4, m: 6, q: 1, g: 3, j: 1}.
20/969
Calculate prob of sequence uuo when three letters picked without replacement from {u: 1, o: 12}.
0
Calculate prob of sequence kkk when three letters picked without replacement from kklkkkkkkkkkkkkklk.
35/51
What is prob of sequence zz when two letters picked without replacement from {b: 4, z: 4, j: 6, n: 1, f: 1, i: 3}?
2/57
Three letters picked without replacement from {c: 3, s: 1}. Give prob of sequence ccc.
1/4
Calculate prob of sequence ccss when four letters picked without replacement from sbccscscsbsbcccsb.
3/136
What is prob of sequence o
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 1. Let x(m) = 3*m**2 - 2. Suppose -6 = 2*f - 2*s + 6, s = -2*f - 6. What is f*r(h) - x(h)?
h**2 + 6
Let f(x) = 106*x + 49. Let o(i) = 60*i + 25. What is 4*f(z) - 7*o(z)?
4*z + 21
Let a(o) = 83*o + 13. Let j(h) = -330*h - 45. What is -23*a(y) - 6*j(y)?
71*y - 29
Let x(u) = 72*u**2 - 44*u + 578. Let n(p) = 48*p**2 - 28*p + 385. Calculate -11*n(r) + 7*x(r).
-24*r**2 - 189
Let c(y) = -y**2 + 10*y - 1. Let a(u) = -u**2 + 9*u. Suppose -8 = 7*j - 9 - 27. Give j*a(t) - 3*c(t).
-t**2 + 6*t + 3
Let j = -30 - -25. Let v(k) = -3*k**2 + 4*k - 2. Let b(i) = 2*i**2 - 2*i + 1. Suppose -25*g + 8 = -23*g. Suppose -g*n + 3 = 15. Calculate j*b(q) + n*v(q).
-q**2 - 2*q + 1
Let u(j) = 5*j**2 + 2*j + 1. Let d(p) = -5*p + 56. Let w be d(3). Suppose 5*h = -w - 14. Let l(s) = 14*s**2 + 6*s + 3. Determine h*u(n) + 4*l(n).
n**2 + 2*n + 1
Let a be (14/(-6))/((-2)/6). Let g(q) = -3*q - 2. Let f(r) = -3*r - 2. Let v = -413 + 411. Let l be (4/(-6))/(v/(-18)). Determine a*g(z) + l*f(z).
-3*z - 2
Let r(d) = 5*d**3 + d**2 + 5*d. Let g(f) = 3*f**3 + 2*f**2 + 4*f - 6. Determine -3*g(k) + 2*r(k).
k**3 - 4*k**2 - 2*k + 18
Let w(r) be the third derivative of 5*r**4/12 - 17*r**2 + 2. Let m be 1/5 - (-92)/(-10). Let q(c) = 21*c. Determine m*w(b) + 4*q(b).
-6*b
Let m(w) = -5*w - 1. Let j(b) = -1043*b - 3. Give -j(c) + 2*m(c).
1033*c + 1
Let p(o) = 3*o**3 - o**2 - 3. Suppose -4*u + 17 = 5. Let l(n) be the second derivative of 1/2*n**2 + 6 + 2*n. What is u*l(a) + p(a)?
3*a**3 - a**2
Let q be (-460)/(-140) - 4/14. Let w(g) = 5*g**2 + 4 + g + q*g + 0*g + 1 - 8*g. Let t(i) = -4*i**2 + 3*i - 5. Determine -4*t(v) - 3*w(v).
v**2 + 5
Let c(i) be the third derivative of i**4/8 - i**3 - 2*i**2. Suppose 0*r = -4*f - 3*r - 62, -5*f - 93 = -4*r. Let p(n) = -n + 2. Give f*p(h) - 6*c(h).
-h + 2
Let f(o) = 2*o - 6*o**3 - 15 + 5*o**2 + 3 + 2*o + 7. Let h(m) = 6*m**3 - 4*m**2 - 3*m + 4. Let c be (1*-1)/(((-406)/(-56))/(-29)). What is c*f(s) + 5*h(s)?
6*s**3 + s
Let x be (-3)/(-2)*(222 - 220). Let q(f) = 2*f**3 - 13*f**2 + f + 4. Let n(c) = c**3 - 12*c**2 + c + 3. What is x*q(s) - 4*n(s)?
2*s**3 + 9*s**2 - s
Let q(a) = 308*a**2 + 39*a - 30. Let f(o) = -103*o**2 - 14*o + 11. Determine 11*f(m) + 4*q(m).
99*m**2 + 2*m + 1
Let u be (-2)/(-6) + (2 - 2850/18). Let i = 155 + u. Let w(b) = b**3 + b**2 - 2*b. Let z(g) = -g**3 + g**2 - g + 1. Determine i*z(r) + w(r).
2*r**3 - r - 1
Let k(j) be the second derivative of -17*j**3/2 - 21*j**2/2 + 47*j - 10. Let x(r) = -10*r - 4. Let a(i) = -i**2 - i + 2. Let g be a(-3). Give g*k(q) + 21*x(q).
-6*q
Let f(p) = 10*p + 14. Let q(l) = -7*l - 7. What is 4*f(i) + 7*q(i)?
-9*i + 7
Let m = 29 - 26. Let p(q) = 5*q**3 + 2*q**2 - 1. Let a(d) = -15*d**2 - 34*d**3 + 9*d**2 + 8*d**2 + 40*d**3 - 2. Determine m*a(t) - 4*p(t).
-2*t**3 - 2*t**2 - 2
Let x(m) be the first derivative of m**3 + m**2/2 - 5*m + 26. Suppose w + 12 = 4*u, 5*w - 3*w = u - 17. Let t(f) = -5*f**2 - 2*f + 8. What is w*x(q) - 5*t(q)?
q**2 + 2*q
Let s(p) = -26*p**3 + p**2 - 11*p. Let z(d) = 59*d**3 - 3*d**2 + 20*d. Determine -5*s(j) - 2*z(j).
12*j**3 + j**2 + 15*j
Let a(n) = -2*n**2 - 79*n + 300. Let i be a(-43). Let h(t) = t. Let q be 10/8 + (-1)/4. Let u(z) = q - 4*z + 7*z + z. Determine i*h(b) + u(b).
3*b + 1
Let x(v) = -v**3 - v - 1. Let u(l) = 42*l**3 + 36*l**2 + l - 5. Let d(s) = 43*s**3 + 24*s**2 - 4. Let q(c) = -3*d(c) + 2*u(c). Give q(i) + 2*x(i).
-47*i**3
Let n(w) = -2*w**3 - 7*w**2 - 4*w + 6. Let v be n(-4). Let j(x) = -13 - 12 - 14 + v. Let g(r) = 0*r - 3 - 3*r - r + 5*r. Calculate g(c) - 2*j(c).
c - 1
Let r(x) = 5*x - 2. Let h(w) be the second derivative of -3*w**3/2 + 2*w**2 - 2038*w + 1. Let g = 29 + -18. Determine g*r(f) + 6*h(f).
f +
|
{
"pile_set_name": "DM Mathematics"
}
|
w - 22*w with respect to w.
-64
Let i(r) = -115*r - 1265. Let z be i(-11). Let a(h) be the third derivative of 2*h**3 + 0*h + z + 12*h**2 + 7/24*h**4. What is the derivative of a(m) wrt m?
7
What is the second derivative of 1343*v + 906*v + 9464*v**2 - v**5 - 9383*v**2 wrt v?
-20*v**3 + 162
Let h(u) be the third derivative of 331*u**6/60 + u**5/15 - 217*u**4/8 - u**3/6 + 27*u**2 - 23. Find the second derivative of h(x) wrt x.
3972*x + 8
Let w(a) be the second derivative of -229*a**3/3 + 279*a**2/2 - 1189*a. What is the derivative of w(x) wrt x?
-458
What is the second derivative of -59*s**4 + 215*s**4 + 5*s - 106 + 17*s**4 + 0*s**2 + 83*s**4 - 2*s**2 wrt s?
3072*s**2 - 4
Suppose 2*j + 2 = -v + 5, -4*j - 16 = 0. What is the second derivative of 2*r + v*r**5 + 14*r**5 - 52572 + 52567 wrt r?
500*r**3
What is the third derivative of 1204*h**5 - 16*h**5 - 130*h**5 - 76*h**2 + 70*h**2 - 123 wrt h?
63480*h**2
Let d(j) be the first derivative of 0*j**2 - 23/5*j**5 + 0*j**4 + j + 32 - 10/3*j**3. Find the third derivative of d(o) wrt o.
-552*o
Let s(f) = -89*f**2 - 2198*f + 8529. Let y(q) = 74*q**2 + 2200*q - 8528. Let r(w) = -5*s(w) - 6*y(w). Differentiate r(v) with respect to v.
2*v - 2210
Let x(f) = f**2 + f + 2. Let z(q) = -q**3 - 6*q**2 - 881*q - 490. Let n(b) = 6*x(b) + z(b). What is the derivative of n(t) wrt t?
-3*t**2 - 875
Let j(r) be the second derivative of 1427*r**4/12 + 29*r**3/2 + 2*r**2 - 2*r + 168. Find the second derivative of j(c) wrt c.
2854
Let x(y) be the third derivative of -118*y**4/3 + 108*y**3 + 75*y**2 - 2. What is the first derivative of x(h) wrt h?
-944
What is the first derivative of -64 - 143*u - 667 + 1429*u wrt u?
1286
Let s = -1121 - -1876. Differentiate s + 4*x - 569 - 2*x with respect to x.
2
What is the third derivative of -70869*d**2 + 4010*d**4 + 44174*d**2 + 34931*d**2 wrt d?
96240*d
Let r(d) be the second derivative of -215*d**6/3 + 3500*d**2 + 3*d - 627. Differentiate r(m) with respect to m.
-8600*m**3
Let q be ((-285)/(-10) + -6)*(-4)/(-6). Find the third derivative of -21*t**4 - t**5 + 14*t**2 - 16*t**2 + 26*t**2 - q*t**4 wrt t.
-60*t**2 - 864*t
Let q be 1/6*6 - -3. What is the third derivative of i**2 + q*i**2 - 6*i**2 - i + 18*i + 117*i**6 wrt i?
14040*i**3
Find the third derivative of -1000*w**3 - 3700*w**2 - 350*w**2 + 832*w**2 + 2871*w**3 - 2674*w**2 wrt w.
11226
Suppose 6*x = 9*x - 147. Let p = x + -47. Find the third derivative of -16*o**p - 3*o**6 + 0*o**2 + 9*o**2 wrt o.
-360*o**3
Let x(t) = t**2 + 2*t - 23. Suppose -2*k - 4*v + 9*v - 4 = 0, k - v + 5 = 0. Let q be x(k). What is the first derivative of 8 - 2 + 11 + q*b**2 wrt b?
24*b
Let n(q) be the first derivative of 0*q**3 - 5/4*q**4 - 15/2*q**2 + 37 - q + 1/5*q**5. What is the second derivative of n(d) wrt d?
12*d**2 - 30*d
Find the third derivative of 187*m**6 + 26*m**2 + 41*m**5 - 39*m**2 + 372*m - 30*m**5 + 16*m**2 wrt m.
22440*m**3 + 660*m**2
Let u be (-3 + (-23)/(-5))/((-2)/(-20)). Find the third derivative of -5*b**2 - 956*b**3 - u*b**4 + 956*b**3 - 3 wrt b.
-384*b
What is the derivative of 145*m + 752 - 3*m**2 + 432 + 2142 + 639 wrt m?
-6*m + 145
Find the third derivative of -h + 96*h**3 - 90*h**3 + 311*h**3 + 40*h**2 + h wrt h.
1902
Differentiate 1486 - 45*z**4 + 1652 + 729*z**4 with respect to z.
2736*z**3
Suppose 5*j = -5*c + 35, -18 = -4*j - 3*c + c. What is the second derivative of -h**j - 106*h + 16*h**2 + 178*h - 2*h**3 wrt h?
-12*h + 30
Let n be (-2)/5 - 378/(-70). What is the third derivative of -14*v**2 - n*v**4 - 7*v**2 + v**3 + 2*v + 40*v**2 - 10*v**2 wrt v?
-120*v + 6
Suppose 2*j - 5*p = -11, -27*j + 24*j - p = -9. Differentiate -l**4 + 21777*l**2 - 141 - 115 - 21708*l**j - l**4 with respect to l.
-8*l**3 + 138*l
Let n(o) be the first derivative of 17*o**7/7 + 3*o**5 + 4633*o**3/3 + 7681. Find the third derivative of n(x) wrt x.
2040*x**3 + 360*x
Suppose -9 = -x - 5. Suppose x*t + 11 = 19. What is the first derivative of -9*q**2 - 38 - 14*q**t + 35 wrt q?
-46*q
Let x(y) be the second derivative of -361*y**7/42 - y**6/30 + y**5/20 - 2141*y**3/3 - y**2 - 1579*y. Find the second derivative of x(j) wrt j.
-7220*j**3 - 12*j**2 + 6*j
Let z(f) = -f**2 - 48*f - 131. Let m be z(-45). Differentiate -17*g**2 + 3*g**2 + 8963*g**4 - 211 - 8969*g**m with respect to g.
-24*g**3 - 28*g
Let o(u) be the first derivative of 15*u**2/2 - 7*u + 19. Let x be o(2). Find the second derivative of x*l - 3*l + 4*l - 10*l - 6*l**5 wrt l.
-120*l**3
Let d(w) = 2210*w**3 - 29*w + 1560. Let n
|
{
"pile_set_name": "DM Mathematics"
}
|
or a.
-4
Let h = 14 + -5. Suppose -3*c - 5*z + 31 = 0, 3*c - 3*z + h = -0*c. Solve -2*t + 2 = 3*g, 4*t + 6 = c*t + g for t.
-2
Let p be 24*(-3 + (-66)/(-18)). Solve -5*x - 5*w = -15, 2*w = -4*x + p - 6 for x.
2
Let m(l) = -3*l - 1. Let b(q) = 12*q + 5. Let y(o) = 2*b(o) + 9*m(o). Let i be y(-4). Solve -5*g + 4*g - i = 3*u, -2*u = 5*g + 26 for u.
-3
Let x = -5 + 10. Let g be (3 - 3) + (x - 2). Solve -2*t + 11 + 1 = 2*p, g*p + 10 = 4*t for t.
4
Let c = 56 - 56. Solve -d = -c*d + 3*a - 2, d - 8 = 3*a for d.
5
Let u be (32/(-12) + -2)*3. Let z(q) = q**3 + 14*q**2 + 4. Let i be z(u). Solve l = 2*l - k - 10, 5*k = -i*l - 5 for l.
5
Let q(z) = z**2 + 6*z + 11. Let h be q(-3). Solve 4*x + h*a = -2, -4*x + 0*a - 3*a = -1 for x.
-2
Let u = -24 + 26. Solve -4*k - 6 = 5*s, -s + u*k + 17 = 7 for s.
2
Let x be (16/(-48))/(1/(-75)). Solve 4*q + x - 7 = f, 5*q + 2*f + 16 = 0 for q.
-4
Suppose -3*f - 2 = 13, 2*d - 39 = 5*f. Solve q - 1 - 3 = -3*x, 2*q - d = -5*x for q.
1
Let q = -4 + 6. Suppose 5 = 4*w - 11. Let m = -4 + w. Solve 5*o - 16 = 2*i + q*o, 2*o - 4 = m for i.
-5
Let f = 8 - 5. Let i = 8 - 8. Let c(k) = k**2 + 5. Let z be c(i). Solve 3*d + f - 1 = z*l, 0 = -d + 2*l for d.
-4
Suppose -3*j = -0*j. Solve 2*f + 3*k + 22 = j, 5*k - 14 = -3*f - 49 for f.
-5
Let x be 5*((-6)/10 + 1). Solve 5*a = 3*c - 40, 3*c - x*a - 25 = -0*c for c.
5
Let x(i) = -2*i + 4. Let c be x(0). Solve -19 = 3*q - 4*l, -c*q - 17 - 2 = l for q.
-5
Let q(v) = 5 - 1 + 1 + 6*v**2 + v**3. Let y be q(-6). Solve -4*g - 5*b = 12, 0*b + y*b = -g - 3 for g.
-3
Suppose -4 = 13*j - 14*j. Solve -5 = 3*d + s - 0, -j*d + 2*s = 0 for d.
-1
Let h = 28 - 25. Solve 0 = 3*l + h*w, w - 10 = 3*l + 2*w for l.
-5
Let k(r) = -r**3 + r**2 + r + 5. Let b be k(0). Solve -g - 10 = 5*l - 3*l, b*g = l - 6 for g.
-2
Suppose 6*b = 7*b - 9. Suppose -b*o + 6*o + 9 = 0. Solve 35 = 3*r - 5*n, -n - 6 = 2*r + o*n for r.
5
Let c(z) = -7 + 2 - 6*z + 11*z**2 - z**3 - 4*z**2. Let f be c(6). Let n(p) = p + 7. Let o be n(f). Solve -4*h = -s + h - 20, 0 = o*h - 8 for s.
0
Suppose -3*i + 15 = 0, -5*z - i + 2*i + 50 = 0. Suppose -z = -3*r + 2*r. Solve -3*n - r = o - 0*o, -10 = 5*o for n.
-3
Let h(r) = -5*r - 28. Let n be h(-6). Solve 2*g + 5*i - 3 = 0, 1 + n = g + i for g.
4
Let u(x) = -x**3 - x**2 - 3*x + 5. Let t be u(5). Let g be (-2)/7 - t/(-28). Let f = -2 - g. Solve 5*r + 3 = l - 3, 3*r + 7 = f*l for l.
1
Suppose 0 = -5*z - 0*t - t - 2, -z = -t - 2. Solve -4*g + 5*w = -z*w + 33, -3*g - 4*w = -14 for g.
-2
Suppose -2*m - 5*c = -0*c + 9, 0 = c + 3. Solve 0 = h - 2*r + m, 0*h - 4*r + 9 = -h for h.
3
Suppose 3*d + 2 - 11 = 0. Solve -l - 1 = y - 0*y, -d*y + 9 = 0 for l.
-4
Let n(q) = 6*q - 1. Let y be n(1). Suppose -y*r = -2 - 3, -2*r = -2*h + 8. Solve -h*t = -3*d - 12, 5*d - 5*t + 18 = -2 for d.
-4
Suppose 0 = 2*m + 9 - 39. Solve -3*v - 11 = 2*u + 3*u, 0 = -5*v + m for u.
-4
Let k = -19 + 31. Solve 0 = -2*g - 2*p - 4, -k + 4 = -g + p for g.
3
Let z(a) = -a**2 + 6*a. Let s be z(7). Let t(g) = -g - 5. Let w be t(s). Suppose -4*j = -j. Solve 0 = -m + 2*v - 11, j*m + 2*v - w = -2*m for m.
-3
Let q(j) = -2*j**3 + j**2 - j - 2. Let y be q(-1). Solve 0 = -5*n - 5*r - 2 - 3, 5*n = y*r - 33 for n.
-5
Suppose 0 = -0*w + w - 1. Let d be 18/45*(w + 9). Solve -2 = 2*h, 0 = 4*g - d*h - 4 - 0 for g.
0
Let n be 0 - 0 - 15/3. Let z(c) = -c**3 - 6*c**2 - 6*c + 1. Let f be z(n). Suppose -3*b + 9 = -f. Solve b*h + 6 = 4*m, -m - h + 3*h + 3 = 0 for m.
-1
Suppose 253 = 4*d - 47. Suppose -d = -a - 4*a. Solve 2*j - 7*j + a = 0, -f + 2*j = 9 for f.
-3
Suppose -3*b + 5*l - 3 = -2, -3*l + 1 = -2*b. Let o = b + -17. Let f = o + 39. Solve -4*t - 3*z - f = 0, 4*t - z = 2*t - 10 for t.
-5
Let j(s) = -s + 2. Let b be j(0). Let i be 2/(-8)*b*-4. Solve -f - i = 2*x - 0, 8 = -4*x for f.
2
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
*v = -0*v - 24, -4*z = 5*v - 29. Solve -2*c + c = -z for c.
1
Suppose 2*z - z - 4 = 0, 5*z = -5*k + 30. Suppose 25 = k*q + 3*q. Solve 3*r = -q + 20 for r.
5
Let n be (28/(-49))/(4/(-14)). Suppose 0 = -4*b + n*b + 8. Solve 0 = 3*o + 7 - b for o.
-1
Suppose -4*v + 2*v = -8. Let i(a) = a**3 - 5*a**2 + 5*a + 4. Let p be i(v). Let l(f) = f**2 + 2*f + 1. Let u be l(-3). Solve 0*w + u*w + p = 0 for w.
-2
Let a be 0/((-1)/((-1)/2)). Solve a*h + 16 = 4*h for h.
4
Let t be (0*(-2)/(-4))/(-2). Let b be (-31)/(-8) + (-5)/(-40). Suppose -b*i = -3*i. Solve t = -n + 2 - i for n.
2
Let x(i) = 2*i - 4. Let p be x(4). Suppose -b + 4*b = 0. Solve k + b = -p for k.
-4
Let q = 0 - -9. Let s(a) = -a**2 + 6*a - 1. Let w be s(5). Suppose -w*g + h = -13, 3*g + 0*g - 3*h - 12 = 0. Solve g*p + 3 = -q for p.
-4
Let o(a) = a**3 - 3*a + 1. Let z be o(2). Let m(j) = -j**2 + j + 9. Let t be m(0). Let w be (-6)/15 - 2/(-5). Solve w*h - t = -z*h for h.
3
Suppose -4*n + 30 = 5*z, 0 = -2*z - z - 2*n + 16. Suppose -p = z*p - 12. Let l = p + -2. Solve u = -u - l for u.
-1
Let y = 24 + -24. Suppose y = 7*v - 3*v. Solve 4 + v = -4*t for t.
-1
Suppose -26 + 6 = -3*v + 4*n, 2*n + 52 = 5*v. Let x be (0 - (-21)/v)*4. Let s = 2 + -2. Solve s = -x*y + 3*y for y.
0
Suppose 0 = 4*d - 3*j + 3, 6*d - 3*d + 4 = 4*j. Let t be -1*(-1)/3*d. Suppose -2*q + t*x - 4*x = -4, 4*x = 4*q - 20. Solve 3*g - q*g = 2 for g.
-2
Suppose -4*z - 4 = -h, h + 8 = -z + 17. Solve -4*b + h*b = 8 for b.
2
Suppose 0 = 5*k + 4*t - 78, k = -3*k + 4*t + 84. Let s be (-2)/(-10) - k/(-10). Solve -p + s + 1 = 0 for p.
3
Let d(z) = -z**2 - 8*z - 5. Let i be d(-7). Suppose 2*a = -i*a. Suppose -4*b - 2*r = a, 0 = -b + 3*b + 4*r. Solve -s = -b*s for s.
0
Suppose y + 0*y + 3*s = 0, -3*y - 7 = 2*s. Let n be (-1)/y - (-1)/(-3). Solve -4*g + 2 - 22 = n for g.
-5
Let y(x) = -x**2 + 7*x - 3. Let n be y(5). Let w(q) = q + 0*q + n - 1. Let o be w(-6). Solve o = 5*h - 4 - 16 for h.
4
Suppose f - 5 - 1 = 0. Let u(k) = -k**3 - 3*k**2 - 2*k - 2. Let a be u(-3). Suppose 0 = -o + 2*o - 0*o. Solve -a*w + w + f = o for w.
2
Let s be ((-2)/(-5) - 1)*-15. Suppose -s = -b + j, -b + 14 = 3*j + j. Solve -m - m = b for m.
-5
Let g(b) = -b + 7. Let m be g(4). Suppose 0 = -m*w - 0*w. Solve w = 6*v - 4*v + 10 for v.
-5
Let p(d) = -d**2 - 4*d + 10. Let m be p(-7). Let f = -6 - m. Suppose 3*v + 5*y = 60, -f*v - 3*y + 100 = -2*y. Solve 3*i + 2*i = v for i.
4
Suppose 4*j - c + 5*c - 12 = 0, 3*j = 2*c + 9. Suppose -s = 3*g + 15, -j*s + 3*g + 6 = -9. Solve -r + 2*r - 1 = s for r.
1
Let k(u) = -u + 9. Let x be k(9). Solve x = -3*p + p for p.
0
Let i(q) = q**3 - 14*q**2 + q - 13. Let s be i(14). Suppose 0 = -u - 1 - s. Let y be (-1)/u*(-2)/(-1). Solve -7 = -2*p - y for p.
3
Let a(n) = -21*n - 12. Let t be a(-8). Let y be 2/(-4) + t/8. Solve 5*w - 6 = y for w.
5
Let g = 8 - 2. Let j(v) = v**2 - v + 6. Let l(i) = i**2 + 1. Let r(x) = -j(x) + 2*l(x). Let f be r(-3). Solve f*b = -2 + g for b.
2
Let l(w) = -2*w - 8. Let z be l(-5). Solve 2*h = -z*h - 4 for h.
-1
Let b = -37 + 42. Solve -4*i - i = -b for i.
1
Let x = 55 + -52. Solve -x*i = 2*i + 5 for i.
-1
Suppose 7*q = 4*q. Solve 0 = -3*r + 6 - q for r.
2
Suppose -z - z + 24 = 0. Solve 0 = 3*y + z - 3 for y.
-3
Let j(n) = 4*n**2 + 1. Let d be j(-1). Suppose 0 = -o - r + 32, -d*o - r = -205 + 29. Let y be ((-4)/(-6))/(8/o). Solve 2*q - y*q + 1 = 0 for q.
1
Let g = -2 + 1. Let m(w) = -2*w**3 - w**2 + 1. Let z be m(g). Solve z*h - 4*h + 2 = 0 for h.
1
Let t(b) = 2*b**3 - 2*b**2 - b + 1. Let x be t(2). Suppose 0*y + 32 = 4*v - 5*y, -61 = -5*v + y. Let a = -8 + v. Solve a*c + 27 = x for c.
-4
Suppose 0 = -5*c + 3*t - 64, t - 14 = 4*c - 3*c. Let q = c + 11. Solve 5*l - l - 20 = q for l.
5
Let j = -15 - -28. Let q = -8 + j. Suppose -q*v = f - 6, -5*v = -3*f + f - 18. Solve 2*b = -v*b + 12 for b.
3
Suppose -f = -3, 2*f = 2*i + 3*i - 14. Solve -5 = -i*u - 1 for u.
1
Let l be (6/(-9))/(2/(-6)). Let r be -2 + (l - -1) + 4. Solve 6*v =
|
{
"pile_set_name": "DM Mathematics"
}
|
ors of 569928168?
2, 3, 37, 349, 613
List the prime factors of 37473289.
7, 557, 1373
What are the prime factors of 225977692?
2, 47, 1202009
What are the prime factors of 202197584?
2, 3529, 3581
What are the prime factors of 1205268619?
1205268619
List the prime factors of 3187006978.
2, 337, 4728497
List the prime factors of 338013399.
3, 112671133
What are the prime factors of 288523696?
2, 31, 581701
List the prime factors of 277004922.
2, 3, 227, 203381
List the prime factors of 46683222.
2, 3, 7780537
What are the prime factors of 749930982?
2, 3, 31, 4031887
List the prime factors of 69589936.
2, 13, 157, 2131
What are the prime factors of 15560818?
2, 7, 13, 193, 443
List the prime factors of 718297006.
2, 7, 51306929
List the prime factors of 3904144903.
3904144903
What are the prime factors of 1486019027?
89, 16696843
What are the prime factors of 4390927095?
3, 5, 9721, 30113
What are the prime factors of 431887893?
3, 1621, 88811
List the prime factors of 1351484942.
2, 2129, 317399
What are the prime factors of 190632859?
190632859
What are the prime factors of 2327490080?
2, 5, 109, 317, 421
List the prime factors of 21845170.
2, 5, 17, 23, 37, 151
List the prime factors of 1423511231.
47, 59, 513347
What are the prime factors of 29430030?
2, 3, 5, 7, 140143
What are the prime factors of 74702862?
2, 3, 13, 17, 89, 211
What are the prime factors of 7803705?
3, 5, 7, 13, 5717
What are the prime factors of 102341577?
3, 13, 59, 79, 563
What are the prime factors of 1837315648?
2, 7, 29, 103, 1373
List the prime factors of 56280019.
2897, 19427
List the prime factors of 37676283.
3, 2293, 5477
What are the prime factors of 143132337?
3, 43, 369851
List the prime factors of 24284483.
17, 137, 10427
What are the prime factors of 69798721?
23, 53, 57259
What are the prime factors of 1349626632?
2, 3, 56234443
List the prime factors of 437475961.
13, 33651997
List the prime factors of 30876910.
2, 5, 353, 8747
List the prime factors of 56818892.
2, 13, 19, 131, 439
List the prime factors of 3935799887.
3935799887
What are the prime factors of 370140474?
2, 3, 11, 43, 130423
What are the prime factors of 2650307314?
2, 109, 1747, 6959
What are the prime factors of 324836299?
324836299
List the prime factors of 2366468343.
3, 61, 127, 33941
What are the prime factors of 28295466?
2, 3, 4715911
List the prime factors of 1532250383.
19, 379, 389, 547
What are the prime factors of 85404705?
3, 5, 5693647
What are the prime factors of 273590106?
2, 3, 23, 1982537
List the prime factors of 2679722100.
2, 3, 5, 11, 270679
List the prime factors of 742898000.
2, 5, 13, 28573
List the prime factors of 41335354.
2, 20667677
List the prime factors of 3120270287.
17, 3169, 3407
List the prime factors of 91452277.
7, 1866373
What are the prime factors of 1127850128?
2, 67, 1052099
What are the prime factors of 11495564?
2, 2873891
List the prime factors of 3167149082.
2, 23, 68851067
List the prime factors of 147392972.
2, 31, 1188653
List the prime factors of 248710848.
2, 3, 1295369
What are the prime factors of 319071267?
3, 193, 183691
What are the prime factors of 112183844?
2, 331, 84731
List the prime factors of 30906696.
2, 3, 79, 16301
List the prime factors of 325802318.
2, 41, 157, 25307
What are the prime factors of 83775296?
2, 11, 127, 937
List the prime factors of 529790637.
3, 271, 651649
What are the prime factors of 62834992?
2, 11, 17, 21001
List the prime factors of 31489603.
61, 516223
What are the prime factors of 659530003?
11, 59957273
List the prime factors of 720712779.
3, 240237593
What are the prime factors of 179028599?
1579, 113381
What are the prime factors of 52582790?
2, 5, 13, 404483
What are the prime factors of 107273926?
2, 53636963
List the prime factors of 82147008.
2, 3, 427849
What are the prime factors of 59111672?
2, 7388959
List the prime factors of 295245954.
2, 3, 16402553
What are the prime factors of 459832278?
2, 3, 197, 389029
What are the prime factors of 20873281?
11, 13, 145967
What are the prime factors of 1423885967?
7, 79, 2574839
What are the prime factors of 18688019?
7, 2669717
What are the prime factors of 2371007389?
2203, 1076263
What are the prime factors of 209219548?
2, 673, 77719
List the prime factors of 80574458.
2, 17, 2369837
What are the prime factors of 39822081?
3, 13, 19, 61, 881
What are the prime factors of 733629024?
2, 3, 2547323
List the prime factors of 1449502848.
2, 3, 41, 30689
List the prime factors of 160124737.
3499, 45763
What are the prime factors of 27591247?
27591247
List the prime factors of 1634334407.
449, 991, 3673
What are the prime factors of 343764295?
5, 7, 41, 239557
What are the prime factors of 1063512373?
7, 11, 67, 211, 977
What are the prime factors of 2339247315?
3, 5, 23, 6780427
What are the prime factors of 2872828165?
5, 53, 1319, 8219
What are the prime factors of 1413604437?
3, 7, 41, 1641817
List the prime factors of 224990932.
2, 19, 29, 31, 37, 89
List the prime factors of 5863712095.
5, 12659, 92641
List the prime factors of 2340726389.
2340726389
What are the prime factors of 967081376?
2, 331, 91303
What are the prime factors of 521404815?
3, 5, 34760321
What are the prime factors of 44068308?
2, 3, 3672359
List the prime factors of 3373151235.
3, 5, 97, 2318317
List the prime factors of 3179279.
3179279
List the prime factors of 612577040.
2, 5, 1973, 3881
List the prime factors of 344362044.
2, 3, 13, 47, 67, 701
What are the prime factors of 129641324?
2, 149, 217519
List the prime factors of 33538114.
2, 16769057
List the prime factors of 199735670.
2, 5, 4229, 4723
What are the prime factors of 460992502?
2, 17, 2027, 6689
List the prime factors of 57054
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -1 = 3*l + a*q + 7, 3*q + 6 = 2*l for l.
0
Let t = -3 + 6. Suppose 8*i = 7*i - 1. Let m = i + t. Solve -m*c + 8 = 2*s, -5*s - c + 13 + 11 = 0 for s.
5
Suppose 5*h = 2*h + 6. Suppose -h*m = -5*m + 9. Suppose -g + 8 = m*o, 0*g + 5*o = g + 8. Solve -g*u + 0*u = 5*d - 10, -3*u - 19 = -d for u.
-5
Let q be 0 + -1 + 0 + 1. Suppose -5*x + 2*n + 55 = q, 6*n = n - 25. Let h = 13 - x. Solve 0*m + 4*m - 3*p - h = 0, -5*m + 5 = -4*p for m.
1
Let n(o) = -o + 13. Let i be n(6). Suppose i = 2*c - 17. Solve 24 = 2*d - 5*y, -d - c = 3*d + 5*y for d.
2
Suppose -3 = -2*s + 7. Suppose s*z - 8 + 38 = 0. Let b = z + 10. Solve q = -b*q - 5, 2 = f + q for f.
3
Suppose 0 = 5*v - 33 - 7. Solve -9 = 5*h + 3*x + v, -3*h - 11 = 2*x for h.
-1
Let z(x) = -x**2 + 19*x - 15. Let d be z(18). Solve 0 = 2*h - 3*h - 1, 4*h = -d*a - 10 for a.
-2
Let k be -3 - -18 - 2 - -2. Solve -4*z - 7*u + 20 = -3*u, -3*z = -u - k for z.
5
Suppose -4*g + 6 = -10. Suppose -3*t - g*w = -19, 2*t - 4*t + 18 = 4*w. Suppose -7 + t = -2*v. Solve -l - v*l + 5*k - 3 = 0, 0 = l + k - 6 for l.
3
Let h = 5 - 5. Suppose h*z - 2 = -2*u + 2*z, 0 = 3*u - 2*z - 7. Let c(p) = -p. Let d be c(-5). Solve 21 = f + u*l, 2*f = d*l - 12 - 21 for f.
-4
Let g(o) = -6*o - o + o**2 - 7 + 0. Let x be g(8). Solve 0*r = -a + r - x, -5*a + 1 = -3*r for a.
2
Suppose 7*c + s = 4*c - 2, -4*s - 8 = -2*c. Solve 2*a + c*h = -3*h - 3, 0 = -4*a - 5*h - 3 for a.
3
Suppose 0 = 4*v, 0 = -n - 4*n + v + 30. Let t = -6 + n. Solve -g + x + 1 + 1 = t, x - 2 = -g for g.
2
Suppose -4*c + 0*c + 55 = 3*w, -2*w - 5*c + 39 = 0. Suppose -2*f + 12 + 6 = 0. Solve -8*z + 3*z = -3*p - w, -2*p = -z + f for z.
1
Let f(v) be the first derivative of -3*v**2/2 - 10*v + 4. Let r be f(-4). Solve 3*s - s - 2 = -2*p, r*p = -4*s + 12 for p.
-4
Let j be ((-4)/(-6))/(2/15). Let o(b) = -j*b - 3 + 4*b + 3*b + 1. Let s be o(2). Solve 3*p - 1 - s = 3*x, 2*p + 5*x + 26 = 0 for p.
-3
Let z(j) be the second derivative of j**5/10 + j**4/12 - j**3/3 + j**2/2 + j. Let f be z(1). Solve -4*l - 29 = 8*s - 3*s, s + 3 = f*l for l.
-1
Let q = 30 + -26. Let z(b) = -b - 4. Let p be z(-4). Solve p = -5*s + 4*d - 6, 2*d = -q*s - 2*d - 12 for s.
-2
Let p(d) = -d**2 + 7*d - 4. Let z be p(6). Suppose 2 = t - z. Let q(b) = -b**2 + 6*b - 6. Let k be q(t). Solve -k*n + g = -2*g + 5, -n = -3*g + 7 for n.
2
Suppose -22 = 3*j - j. Let t = 20 + j. Solve t*z + 20 = -4*g + 5*z, 3*g - 2*z + 15 = 0 for g.
-5
Let j(i) = -2*i + 8. Let s be j(4). Suppose -5*u + 1 + 19 = s. Solve 5*t = -b + 2, -4*t + b + 2 = u for t.
0
Let t = -2 - -2. Suppose -12 = -5*y - 4*o, 2*y + t - 6 = -o. Solve -4*h - y = 0, 0 = -3*n - 3*h + h + 4 for n.
2
Let l = -97 - -117. Solve 0*w - 3*o + 19 = 5*w, -l = -2*w + 5*o for w.
5
Let v(q) = -q**3 + 7*q**2 - 6*q + 2. Let y be v(6). Let s = 2 + y. Solve 7*a - h = 4*a + 4, 3*a = -s*h - 1 for a.
1
Let p be (-8)/36 - 220/(-18). Let v = -8 + p. Suppose v*g = 16 - 0. Solve -4*z = -4*d - d + 25, g*d = 4*z + 20 for z.
0
Suppose 3*t - 5*t = -20. Solve -3*k + 2 = -4*k + v, 5*k + 3*v + t = 0 for k.
-2
Suppose 3*a = -j + 19, 2*a - 4*j - 29 = -a. Suppose 4*i = 3*p + 19, -2*i = -a*i + p + 21. Solve -2*m + d = -i, 2*m - 7*d + 8 = -3*d for m.
4
Let b(j) = -j + 1. Let y be b(-7). Let u = y - 5. Solve 0 = 2*r - 3*g - 2 + 3, -u*g + 2 = -r for r.
1
Let o = 2 + 4. Suppose -y = 2*y - 12. Let z = -3 + y. Solve o = -5*t - f, 4*f - z = -0*t + 5*t for t.
-1
Let o be ((-11)/(-3))/(5/30). Suppose -i + o = -5*b, -4*b = -3*i + b + 26. Suppose -t = -i*t. Solve 4*k - 8 = -2*l, 4*l - 16 = k - t*k for l.
4
Let f be ((-10)/20)/((-2)/(-20))*-1. Solve 0 = -4*w + o - f*o, 0 = 2*w - 5*o for w.
0
Suppose -5*t - 11 - 9 = 0, 4*d - 2*t = 16. Solve -5*a + 3*g - 13 = 0, -3 = a + g - d for a.
-2
Suppose 5 + 5 = 5*t. Let r = 2 - t. Solve r*f - 5*d = 4*f + 32, 2*f = 5*d + 14 for f.
-3
Let p be -1 - (-2 - -6)/(-1). Solve -p*z + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
nds digit of 124553?
4
What is the hundred thousands digit of 294461?
2
What is the ten thousands digit of 768974?
6
What is the thousands digit of 470770?
0
What is the thousands digit of 41889?
1
What is the units digit of 15848?
8
What is the units digit of 73597?
7
What is the hundred thousands digit of 240899?
2
What is the millions digit of 12768102?
2
What is the thousands digit of 4755916?
5
What is the millions digit of 13853296?
3
What is the units digit of 2985416?
6
What is the tens digit of 149414?
1
What is the hundred thousands digit of 834604?
8
What is the ten thousands digit of 444732?
4
What is the units digit of 1254629?
9
What is the millions digit of 1795455?
1
What is the tens digit of 9594460?
6
What is the ten thousands digit of 24196767?
9
What is the hundreds digit of 219067?
0
What is the millions digit of 5661258?
5
What is the tens digit of 342638?
3
What is the ten thousands digit of 555816?
5
What is the millions digit of 3362594?
3
What is the units digit of 2610682?
2
What is the tens digit of 508001?
0
What is the thousands digit of 2118083?
8
What is the units digit of 62163?
3
What is the tens digit of 1983195?
9
What is the tens digit of 59082?
8
What is the hundreds digit of 20852?
8
What is the units digit of 46347?
7
What is the units digit of 1415690?
0
What is the hundred thousands digit of 184769?
1
What is the hundreds digit of 1187131?
1
What is the millions digit of 9655214?
9
What is the hundred thousands digit of 219255?
2
What is the hundred thousands digit of 2119939?
1
What is the units digit of 409329?
9
What is the hundreds digit of 182913?
9
What is the hundreds digit of 295530?
5
What is the hundred thousands digit of 302714?
3
What is the units digit of 315756?
6
What is the tens digit of 3180697?
9
What is the tens digit of 6407?
0
What is the units digit of 34726?
6
What is the tens digit of 285020?
2
What is the hundreds digit of 2080178?
1
What is the ten thousands digit of 214363?
1
What is the ten thousands digit of 81157?
8
What is the tens digit of 6044?
4
What is the millions digit of 1634146?
1
What is the hundred thousands digit of 11967478?
9
What is the units digit of 11434922?
2
What is the tens digit of 10345111?
1
What is the millions digit of 1464524?
1
What is the tens digit of 26457?
5
What is the hundreds digit of 31975817?
8
What is the units digit of 7074455?
5
What is the thousands digit of 54064?
4
What is the ten thousands digit of 199788?
9
What is the tens digit of 4204809?
0
What is the hundred thousands digit of 2995214?
9
What is the hundreds digit of 16145004?
0
What is the thousands digit of 18281?
8
What is the thousands digit of 14995441?
5
What is the units digit of 244793?
3
What is the units digit of 665743?
3
What is the tens digit of 709700?
0
What is the thousands digit of 4803804?
3
What is the millions digit of 5084725?
5
What is the hundred thousands digit of 505518?
5
What is the units digit of 515174?
4
What is the hundreds digit of 599124?
1
What is the hundred thousands digit of 237972?
2
What is the hundred thousands digit of 402289?
4
What is the units digit of 718418?
8
What is the millions digit of 2636281?
2
What is the thousands digit of 6433251?
3
What is the units digit of 92714?
4
What is the ten thousands digit of 63816?
6
What is the hundred thousands digit of 4103445?
1
What is the units digit of 282485?
5
What is the tens digit of 6104789?
8
What is the ten thousands digit of 229410?
2
What is the units digit of 151198?
8
What is the hundred thousands digit of 3506559?
5
What is the units digit of 9844479?
9
What is the tens digit of 288116?
1
What is the thousands digit of 289209?
9
What is the ten thousands digit of 3943158?
4
What is the ten thousands digit of 761493?
6
What is the ten thousands digit of 3316392?
1
What is the thousands digit of 3466476?
6
What is the hundred thousands digit of 156988?
1
What is the hundreds digit of 1499005?
0
What is the hundreds digit of 1408045?
0
What is the units digit of 5891775?
5
What is the thousands digit of 230099?
0
What is the hundreds digit of 340439?
4
What is the tens digit of 3218041?
4
What is the hundreds digit of 13521693?
6
What is the tens digit of 13788942?
4
What is the units digit of 410445?
5
What is the ten thousands digit of 1079501?
7
What is the units digit of 12414978?
8
What is the hundred thousands digit of 3222152?
2
What is the ten thousands digit of 6973632?
7
What is the hundred thousands digit of 2864669?
8
What is the thousands digit of 2532637?
2
What is the thousands digit of 7711152?
1
What is the thousands digit of 582061?
2
What is the hundreds digit of 311552?
5
What is the tens digit of 105600?
0
What is the hundreds digit of 120170?
1
What is the thousands digit of 1111105?
1
What is the ten thousands digit of 679938?
7
What is the hundreds digit of 107829?
8
What is the tens digit of 1422913?
1
What is the units digit of 284895?
5
What is the units digit of 15801095?
5
What is the ten thousands digit of 5068469?
6
What is the tens digit of 864238?
3
What is the units digit of 192745?
5
What is the tens digit of 1543310?
1
What is the thousands digit of 6745373?
5
What is the hundreds digit of 942254?
2
What is the hundreds digit of 8001765?
7
What is the millions digit of 3231672?
3
What is the millions digit of 2912744?
2
What is the hundreds digit of 1218786?
7
What is the units digit of 211832?
2
What is the hundred thousands digit of 188835?
1
What is the hundred thousands digit of 452479?
4
What is the tens digit of 3754472?
7
What is the tens digit of 4072285?
8
What is the hundred thousands digit of 2649120?
6
What is the tens digit of 7594263?
6
What is the hundreds digit of 31983?
9
What is the units digit of 81190?
0
What is the hundred thousands digit of 23947479?
9
What is the thousands digit of 1731530?
1
What is the hundreds digit of 10305?
3
What is the millions digit of 1468175?
1
What is the ten thousands digit of 1661569?
6
What is the ten thousands digit of 77418?
7
What is the hundred thousands digit of 929268?
9
What is the hundreds digit of 1644031?
0
What is the hundred thousands digit of 416014?
4
What is the hundred thousands digit of 4711729?
7
What is the thousands digit of 79114?
9
What is the tens digit of 520954?
5
What is the hundreds digit of 41445168?
1
What is the units digit of 572181?
1
What is the ten thousands digit of 186240?
8
What is the units digit of 5326330?
0
What is the units digit of 4710752
|
{
"pile_set_name": "DM Mathematics"
}
|
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