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s digit of p?
6
Suppose -24 = -4*u - 0*p - p, 3*u - 27 = -3*p. Suppose 2*m - 42 = u*w, -3*w - w + 171 = 5*m. What is the tens digit of m?
3
Suppose -4*a = -8, -5*a + 2 = -y - 3*y. What is the units digit of y?
2
Let m be ((-2)/6)/(4/12). Suppose -a - 12 + 15 = 0. What is the units digit of (m*a)/((-3)/8)?
8
Let c be (-9 + 8)*(-1 + 10). Let y = c - -13. What is the units digit of y?
4
Let u = 7 + -5. Let p(a) = a**3 + 3*a - 3. What is the units digit of p(u)?
1
Let u(y) = 19*y - 5. What is the tens digit of u(3)?
5
Suppose -12*p = -14*p + 96. Suppose 0 = -5*d + 3*f + p + 16, -30 = -3*d - f. What is the tens digit of d?
1
Suppose -2*o = 2*t - 568, 5*o - 4*t = o + 1152. What is the tens digit of o?
8
Let u(y) = y. Let b(m) = 2*m - 12. Let q(k) = -b(k) + 4*u(k). What is the units digit of q(11)?
4
Suppose 5*f - 21 = -3*y, -3*y + 7 = f - y. Suppose -j - 3*j - 8 = 0, 4*n - 78 = f*j. What is the units digit of n?
8
Suppose 5*n - 2*o - 24 = -4*o, -n + 5*o - 6 = 0. Let j = 5 - n. What is the units digit of j?
1
Suppose -6*a + 2054 = 590. What is the hundreds digit of a?
2
Let s(o) = -o**2 + 9*o - 8. Let r = -3 - -10. Let m be s(r). Suppose m = b + b. What is the units digit of b?
3
Let j be ((-8)/1)/(-4) - 2. Let s = 4 + j. What is the units digit of s?
4
Suppose 2*q - 3*q = -10. Let d = 21 - q. What is the units digit of d?
1
Suppose -2*n + 46 = -28. What is the tens digit of n?
3
Suppose -27 = -h - 1. What is the units digit of h?
6
Let y(h) = -9*h**3 + h**2 - h - 1. Let x be y(-1). Let i = x - 1. What is the units digit of i + 3 + (0 - 0)?
2
Let a(f) = f**3 + 4*f**2 + 2*f - 2. What is the units digit of a(-2)?
2
Suppose 0 = 3*d, -3*z = -7*d + 4*d. Let o = 7 - z. What is the units digit of o?
7
Suppose 12 = -d - 0*d. What is the units digit of 2 + -1 - (d + 2)?
1
Suppose 34 = 3*k - k. Suppose -h - k = -4*w, 1 = -h - 0. What is the units digit of w?
4
Suppose 0 = r - s - 4*s - 265, 4*r - s = 1117. What is the units digit of r?
0
Suppose 92 = 3*k - 5*v, -21 = -4*k - 3*v + 63. What is the tens digit of k?
2
Let j(q) = q**3 + 2*q**2 - q + 1. Let p be j(-2). Suppose p*b + 3 = 72. What is the units digit of b?
3
Let l = 182 + -4. What is the tens digit of l?
7
Let g(q) = 27*q + 1. What is the tens digit of g(2)?
5
Let s = 193 - -132. What is the tens digit of s?
2
What is the units digit of ((-6)/2)/(-3) + (-58)/(-1)?
9
Let l(y) be the second derivative of 0 + 1/2*y**2 + 1/20*y**5 - 5*y + 3/4*y**4 - 1/6*y**3. What is the units digit of l(-9)?
0
Let h(l) = l**2 + l. What is the units digit of h(-6)?
0
Let b = -5 - -8. Suppose -b*y + 2*h + 8 + 38 = 0, -y - 2 = -5*h. What is the tens digit of y?
1
Suppose 0 = 18*o + 2952 - 7488. What is the units digit of o?
2
Let y be 2*(-2 - 18/(-4)). Suppose -11 = -k - v, -v = 3*k - 5*v - y. What is the units digit of k?
7
Suppose -3*f - 30 = -8*f. What is the units digit of f?
6
Let t(b) = b + 5 + b - b. Let j be t(-6). What is the units digit of j/((1 + -3)/14)?
7
Let p be (-2)/(-8) + 18/(-8). Let d be 2 + (2 - (0 - p)). Let a(u) = 2*u**3 - 3*u**2 + 2*u - 3. What is the units digit of a(d)?
5
Suppose 3*z - 10 = -1. Let j be (2 + -1)/(z/6). What is the units digit of -1 + (-2 - (-8)/j)?
1
Let r(y) = -y**3 - 11*y**2 + y + 4. Let g be r(-11). Let p(c) = c**3 + 7*c**2 - 8*c + 1. Let d be p(g). Suppose 2*k - 5*k = -d. What is the units digit of k?
9
Let u be 6/(-4)*(-12)/(-18). What is the tens digit of 4 - 6 - (u - 17)?
1
Suppose 0 = -3*o + 15 + 3. Let k(i) = -i**3 + 6*i**2 - i + 7. What is the units digit of k(o)?
1
Suppose 0 = -2*u - 4, 5*h - 88 = -3*u + 51. Let j = 40 - h. What is the units digit of j?
1
Suppose 5*w + 30 = -5*y - 0*w, 4*w = -2*y - 14. What is the units digit of (2 - -2) + y + 4?
3
Let g(w) = -w + 8. Let j = 2 - -2. What is the units digit of g(j)?
4
Suppose 0 = -3*h - 143 + 395. What is the units digit of h?
4
Suppose -4*t - t + 325 = 0. What is the units digit of t?
5
Suppose 0 = -2*i - 5 + 25. Let a = -22 + i. What is the units digit of (-1)/(3/a*2)?
2
Suppose -3*b = f - 56, 4*f - b - 176 - 9 = 0. What is the tens digit of f?
4
Suppose 0 = -5*l - 3 + 13. Suppose -12 = n + l*n. Let t(c) = -c**3 - 2*c**2 + 6*c + 3. What is the tens digit of t(n)?
1
Let f(r) = -r**3 - r + 1. Let y(i) = -4*i**2 + i + 2. Let a(x) = f(x) - y(x). Let t be a(2). Let j = t - 1. What is the units digit of j?
2
Suppose 95 + 175 = 3*b. What is the units digit of b?
0
Let g(t) = -t**3 + 6*t**2 + 3*t. Let q(r) = -3*r**3 + 17*r**2 + 9*r + 1. Let k(z) = 7*g(z) - 2*q(z). Let u be k(8). Let y = u - 6. What is the units digit of y?
6
Let q be 2*(-3)/((-12)/10). Let h(z) = -2*z + 5. Let y be h(q). What is the tens digit of (-609)/(-35) - 3/y?
1
Let p(k) = -k**2 + 10*k + 5. Suppose 14 = 4*z - 26. Let m be p(z). Suppose -m*n + 31 = -19. What is the tens digit of n?
1
Suppose -5*j - 44 = -l - 0*j, -5*l + 340 = -j. What is the tens digit of l?
6
Suppose -7*l + 186 = -4*l. What is the tens digit of l?
6
Let a(j) = -j**3 - 5*j**2 + 6*j + 3. Let m be a(-6). What is the units digit of (m/(-9))/(2/(-54))?
9
Suppose 0 = c + 5, -5*t + 3*t - 4*c = -110. What is the tens digit of t?
6
Let x = 11 + -7. Let k be ((-56)/35)/(1/(-5)). What is the units digit of (-2)/k + 17/x?
4
Let r(l) = 254*l - 5. What is the hundreds digit of r(1)?
2
Suppose -4*x = 4*f - 36, 12 = 4*x - 3*f - 38. What is the units digit of x?
1
Let w(z) = -z**3 - 4*z**2 + 5*z - 11. What is the units digit of w(-6)?
1
Let d(v) = -v**3 - 7*v**2 - 9*v - 2. What is the tens digit of d(-9)?
4
Let h be (5/(-3))/(5/(-495)). Let o = 95 - h. What is the tens digit of (-6)/(-18) + o/(-6)?
1
Let x be -24 - (-4 - (3 + -6)). Let f = x - -42. What is the units digit of f?
9
Let m = 13 - 1. What is the units digit of m?
2
Let x(m) = 5*m - 2. Let r be x(3). Let k = -8 + r. Suppose -k*u = -18 + 3. What is the units digit of u?
3
Let x(c) = -c**2 + 1. Let n be x(-1). Suppose -k - 4*i + n*i + 59 = 0, -5*i - 109 = -3*k. What is the units digit of k?
3
What is the units digit of ((-8)/3)/((-2)/54)?
2
Suppose -4*b = -9 + 1. Suppose -b = -x + 1. What is the units digit of 8 + 0/(x + -2)?
8
Let l(f) = -f - 3. Let c be l(0). What is the units digit of 12/(-2)*6/c?
2
Let i = -187 + 311. What is the tens digit of i?
2
Suppose -43 + 8 = -7*o. What is the units digit of o?
5
Let t(i) = i**3 + i**2 - i + 8. Let w(c) = c**2 + 2*c + 1. Suppose -j = -5*j - 4. Let b be w(j). What is the units digit of t(b)?
8
Suppose -3*v = 5*l - 2 + 22, 0 = -2*v. Suppose -3*u - 1 = -4*x - 10, u = -5. Let p = l - x. What is the units digit of p?
2
Let l = -30 + 46. Suppose 5*d - d + l = 4*f, -3 = -f + 2*d. What is the units digit of f?
5
What is the units digit of 17 + (7 - 1)/(-3)?
5
Suppose 0 = -o + 2*z + 14 + 20, -2*o = 4*z - 100. What is the units digit of o?
2
Let a(f) = 4 + 2 + 0 + 9*f + 2*f**2 - 3*f**2. What is the tens digit of a(6)?
2
Suppose 19*o - 15*o - 88 = 0. What is the units digit of o?
2
Suppose -2*c + 10 = -q, q - 4 = -2*c - q. Suppose -5*y + 222 = c*n + 47, -y = 4*n - 35. What is the units digit of y?
5
Let s = 77 - 25. What is the units digit of s?
2
Let f be -13*(6/2 + -2). Let l = -3 - f. What is the tens digit of l?
1
Let x be (-4)/(-5)*60/(-8). Let i = x - -8. Suppose -a - i + 8 = 0. What is the units digit of a?
6
Let n(j) = 3 - 4*j - 21*j - 2 + 1. What is the units digit of n(-1)?
7
Suppose -221 = -5*m - i, 2*i - 217 = 4*m - 9*m. Suppose q - 6*q = -m. What is the units digit of q?
9
Let f = -7 - -7. Suppose 2*z - 6 = -f. Suppose -5*h + z*m + 45 = 0, h + 0*m - m - 11 = 0. What is the units digit of h?
6
Suppose s = -s + 8. Suppose 2*g - 2 = -s*u, -u - 17 = 4*g - 0*u. Let v(d) = d**3 + 6*d**2 + 3*d - 3. What is the units digit of v(g)?
7
Suppose -5*m = w - 37, -5*m + 45 = 2*w + 3*w. Let a = m + 3. Suppose c = 3, 5*u - 4*c = 43 - a. What is the units digit of u?
9
Let o be (-6)/5 - 1/(-5). Let c be (0 + -1)*(o + 2). What is the units digit of 6/(c/(4/(-2)))?
2
Let r be -2 - (1 - 2) - -3. Suppose r*b - 6 = 4*b. What is the units digit of (-23)/b + 2/6?
8
Let u(x) = -4*x - 4. What is the units digit of u(-4)?
2
Let w(d) = d**2 - 18. Let l be w(0). Suppose 0*j - 3*j + 18 = -2*q, 4*j = -q + 2. Let n = q - l. What is the units digit of n?
2
Let x(q) = q - 1. Let g be x(1). Let j = g - -1. What is the units digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
ighest common divisor of i and 195.
15
Let d be 0 + (-48)/4*1/(-2). Suppose -57 = -d*h + 9. What is the greatest common factor of h and 77?
11
Let n = -1759 - -2683. Suppose b - n = -3*b. Calculate the highest common factor of 21 and b.
21
Suppose -5*w - 3*x = -513, -3*w + 202 = -3*x - 101. What is the greatest common divisor of 18 and w?
6
Suppose i = -i + 4*v + 904, i = 5*v + 467. What is the greatest common divisor of 136 and i?
34
Let p be 6/15 - 190/(-25). Suppose -3*g + 16 = g. What is the greatest common divisor of g and p?
4
Let c be 208*4/(-12)*6/(-4). What is the greatest common factor of c and 182?
26
Let a = -9 + 14. What is the highest common factor of a and 535?
5
Let a(w) = 11*w**2 + 7*w - 6. Let m be a(4). Let q(y) = -11*y - 22. Let h be 12/(-4) + 1 + -2. Let v be q(h). Calculate the highest common divisor of m and v.
22
Suppose 5*q - 1585 = 2*m + 14, -5*m = -4*q + 1286. Calculate the greatest common factor of q and 66.
11
Let x(t) = -t**2 + 40*t - 339. Let b be x(15). Calculate the highest common factor of b and 774.
18
Suppose -6*u + 13 + 35 = 0. What is the highest common divisor of u and 10?
2
Let l = -370 - -398. Let m be (-1)/(-3)*(-1 - 8). Let u(g) = -g**3 + g**2 - g + 3. Let b be u(m). What is the greatest common factor of l and b?
14
Suppose 14 + 66 = 4*o. Suppose -4*l = -4 - o. Let a = -84 - -126. What is the highest common divisor of a and l?
6
Let w(v) = -3*v**2 + 57*v - 3. Let z be w(11). Calculate the greatest common divisor of z and 348.
87
Let r(p) = 85*p**3 + 2 - 4*p - p - p**2 + 3*p. Let m be r(1). Let c be m/(-7)*(-11)/4. What is the greatest common factor of c and 165?
33
Let s = 785 - 731. Calculate the highest common factor of 45 and s.
9
Let t = -143 + 149. What is the greatest common factor of t and 78?
6
Let s = 94 + -67. Suppose 21 = 3*z + l, -5*l = -z - 4*z + 15. Let q be (2/z)/(1/9). Calculate the highest common factor of q and s.
3
Suppose 17*z - 15 = 14*z. Suppose 2*w - 3*w = 2*i + 3, -z*i = -5*w - 30. Calculate the greatest common divisor of 11 and i.
1
Let b(j) = 8*j - 112. Let o be b(24). What is the highest common divisor of o and 100?
20
Let f be (-25)/125 + 162/10. What is the greatest common divisor of f and 584?
8
Suppose b + 2*v = 6*v + 216, -v = -5*b + 1080. Suppose 11*d - b = -7. Suppose 3*o - 180 = 105. Calculate the highest common divisor of d and o.
19
Let j be (-9)/(-6)*(-704)/(-48). Calculate the highest common factor of 550 and j.
22
Let h = -636 + 806. What is the highest common divisor of 34 and h?
34
Suppose 0 = 4*l - 5*r + 1 + 1, 10 = 4*l + r. Suppose q = 2*q - l. What is the highest common factor of q and 14?
2
Let o(v) = v**3 + 11*v**2 + 10*v + 13. Let m be o(-4). Calculate the greatest common factor of m and 170.
85
Let g be 15*((-16)/10 + 2). Let m be (-6)/(-9)*-1*g. Let t be ((-4)/m)/((-1)/(-24)). What is the greatest common factor of 8 and t?
8
Suppose 0 = 4*p + 5*c - 112 + 3, -c + 26 = p. Suppose 29*u - 413 = -30*u. What is the highest common factor of u and p?
7
Let k = -29 + 48. What is the greatest common divisor of 152 and k?
19
Suppose -162 = -3*c - 4*u, -2*c - 47 = -3*c + u. Let q be (0/3 - -4)*5. What is the greatest common divisor of q and c?
10
Let a(v) = -3*v**2 + 71*v + 22. Let w be a(21). Calculate the highest common divisor of 38 and w.
38
Suppose 0 = -y + 1, -2*y = -0*q - q. Suppose q*n = -3*n + 840. Calculate the greatest common factor of 24 and n.
24
Let w(n) = -111*n - 1062. Let r be w(-10). What is the highest common factor of r and 36?
12
Let a be ((-16)/20 - -2)/((-3)/(-640)). Suppose -a = -k + 56. Calculate the greatest common divisor of k and 39.
39
Let a(p) = -4*p + 24. Let d(z) = 4*z - 25. Let b(i) = 3*a(i) + 4*d(i). Let o be b(9). Calculate the greatest common factor of 4 and o.
4
Let l be (6 - 9)*28/(-2). Let f(u) = 2*u - 14. Let i be f(11). Let c = i + -2. What is the greatest common divisor of l and c?
6
Let n = 713 - 573. Calculate the highest common factor of n and 40.
20
Let l be -189*(11/11 + -2). Calculate the greatest common divisor of 243 and l.
27
Let b be -7*61/(-4 - 162/(-44)). What is the highest common factor of b and 183?
61
Suppose 11 = -l + 2*l. Let o = 80 - 47. What is the greatest common factor of l and o?
11
Let f(b) = 66*b**2 - 10*b. Let r be f(4). Calculate the highest common divisor of r and 8.
8
Suppose b - 31 = 17. Suppose -11*u + b = -7*u. Calculate the highest common factor of 36 and u.
12
Let t be (-19 + 0)/(3 + 78/(-24)). What is the highest common factor of t and 95?
19
Let u = 1397 - 1365. Calculate the greatest common factor of 8 and u.
8
Let h be -92*(-3 - -2) + -1. Let w = -306 + 319. What is the highest common factor of h and w?
13
Let t(n) = n**3 + 11*n**2 + 11*n + 20. Suppose 5*o + 26 + 19 = 0. Let h be t(o). Suppose 3*f - h = -32. Calculate the greatest common factor of f and 34.
17
Suppose -21*o - 32*o + 371 = 0. What is the greatest common factor of 168 and o?
7
Suppose 3*z - 104 = 3*x + 196, x - 100 = -z. What is the highest common factor of 125 and z?
25
Let b = -20 + 30. Suppose -5*k + c - 80 = -2*k, -5*c - 16 = k. Let x(g) = -g**2 - 27*g - 21. Let p be x(k). What is the greatest common factor of p and b?
5
Let p = -27 + 171. Let w = p - 131. What is the greatest common divisor of 13 and w?
13
Suppose s + 3*s - 80 = -5*h, 5*s - 4*h = 100. Let t = -6 - -6. Let b be (-1 - (t - -2)) + 7. Calculate the highest common factor of s and b.
4
Suppose 2*k - 7 - 1 = 0, 3*k = -5*f + 212. Let q(p) = 37*p**2 + p. Let d be q(1). Let o = d + 62. What is the greatest common divisor of o and f?
20
Suppose -2*r - 3*r + 15 = 0, 46 = 4*h + 2*r. Let c be (60/8)/(-6 + (-292)/(-48)). What is the highest common factor of c and h?
10
Suppose -4*f = i - 5*i + 912, 1140 = 5*i + 4*f. Suppose 0 = z + 2*x - i, 3*x - 4 = 8. Calculate the greatest common divisor of 88 and z.
44
Let q be 2/(-10) + (-21112)/40. Let y be 3*5/(-4)*q/4. What is the highest common factor of y and 55?
55
Let z(u) = u - 3*u + 5*u - 6*u - u**2 + 5 + 4*u**3. Let c be z(2). Calculate the greatest common divisor of c and 243.
27
Suppose 0 = -4*p - 18 - 6. Let c be (-16 + 328)/(p/(-4)). What is the highest common divisor of 26 and c?
26
Let t be (-11 + 18)/((-7)/(-161)). Calculate the highest common divisor of 115 and t.
23
Let x = 3 + -1. Suppose 5*n - 2*s = -0*n + 75, -x*n = 3*s - 11. What is the greatest common factor of n and 13?
13
Let q = 103 - 71. Let n(i) = 2 - i + 5*i + 7 - 3*i. Let a be n(-5). What is the greatest common divisor of a and q?
4
Let b(g) = -g**3 - 9*g**2 + g + 11. Let d be b(-9). Let x(o) = 12*o. Let h be x(d). What is the greatest common factor of h and 4?
4
Suppose -64*i + 69*i + 25 = 0, -3*h + 56 = 2*i. What is the greatest common factor of h and 627?
11
Let c = -48 + 86. Let p = 70 - c. Calculate the greatest common divisor of p and 288.
32
Suppose 4*q = 8*v - 7*v + 220, 3*q - 154 = -2*v. Calculate the highest common divisor of 9 and q.
9
Suppose 0*l - 99 = 3*l. Let g = 16 + l. Let w = 305 + g. Calculate the highest common divisor of w and 32.
32
Let b = 78 + -85. Let j be (-18)/21*(0 + b/1). Let r = 4 - -62. What is the greatest common factor of j and r?
6
Let u be (-53)/(-265) - (3 - 688/10). What is the greatest common divisor of 99 and u?
33
Let f be (2 - -4)*1/3. Suppose -51 = -f*h - 7. Let i = -95 - -97. What is the greatest common divisor of h and i?
2
Let w(v) = v + 1. Let r(i) = 24*i + 6. Let a(b) = -r(b) + 6*w(b). Let p be a(-2). Let d = p - 20. Calculate the highest common factor of 2 and d.
2
Let c(i) = 6*i**2 - 13*i + 127. Let s be c(9). What is the greatest common factor of 93 and s?
31
Let x be (2 + 0)/1*21. What is the greatest common divisor of x and 28?
14
Suppose -3*x = -3*u + 7*u - 14, -2*x - 4 = 0. What is the greatest common factor of u and 25?
5
Let u be (-341)/(-62)*(-462)/(3*-1). Calculate the highest common divisor of 7 and u.
7
Let d(t) = -t + 19. Let m be 3/12*68 - 2*1. Let l be d(m). Let c(b) = -b**3 + b**2 + 4. Let q be c(0). What is the greatest common factor of q and l?
4
Let k = 345 - 194. Let q be k/3 + 10/(-30). Calculate the greatest common factor of q and 10.
10
Let d(u) = -u**3 - 2*u**2 + 2*u + 1. Let i be d(-6). Suppose 0 = -4*k + i + 155. What is the highest common factor of k and 9?
9
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - 2*p - 4) + 2*p**3 - 2*p**3 + 2*p**4)*(3*p - 3*p + 2*p).
-6*p**5
Expand (-3 + 3 - t)*(-t**3 + 3*t - 3*t) - t**4 + 5*t**4 - 2*t**4 + (t - t - 2*t)*(t - 3*t**3 - t).
9*t**4
Expand (-4 + 4 + k)*(4*k - 3*k + 0 + 3 + k**4).
k**5 + k**2 + 3*k
Expand (x - 1 + 3 - 1 + (2*x + 0*x + 0*x)*(1 + 0 - 6))*(-2*x**2 - 4 + 4).
18*x**3 - 2*x**2
Expand (0*u**4 + 4*u**4 - 3*u**4)*(1 - 1 - 2).
-2*u**4
Expand 4*t**3 + t**4 - 4*t**3 + (2*t**3 - 3*t + 3*t)*(-1 - 2*t + 1) - 2*t**4 + 0*t**4 + 3*t**4.
-2*t**4
Expand ((2 - 3 + 0)*(1 + 3 - 3) - 1 + 1 + 1 + 0 + 0 - 1)*(2*m**4 - 2*m**4 + 2*m**4).
-2*m**4
Expand 3*l - 4*l + 2*l + 2*l - 4 + 4 + l + 3 - 3 + (-1 + 2*l + 1)*(-2 + 2 - 1).
2*l
Expand p**2 - 4*p + 4*p + (0 + 0 + 2*p)*(2 - p - 2) - 4*p**2 + 5*p**2 - 2*p**2.
-2*p**2
Expand (0*i - i - 2*i)*(1 + 4 + 3*i - 10).
-9*i**2 + 15*i
Expand (-12*j - 103 + 103)*(-2 - 1 + 4)*(-j - 3*j + 2*j + (1 - 2 + 3)*(-2*j + 2*j - 2*j)).
72*j**2
Expand 2*j - 2 + 2 + (-3*j + 4*j - 3*j)*(-2 - 1 + 1) + 15*j + 4 - 19*j - 2.
2*j + 2
Expand (-2 + k + 2)*(-4 + 1 + 6)*(k**2 - 3 + 15 + k - 7).
3*k**3 + 3*k**2 + 15*k
Expand (0 - 2 + 3)*(6*t - 5*t + 6*t) + 0*t + 0*t + t.
8*t
Expand (0 + 0 + f)*(3 + 2 - 2) + 9 - f - 9.
2*f
Expand (0*r + 4*r - r)*(-16*r**4 + 15 - 15).
-48*r**5
Expand t - t - 2*t**3 + (0*t - 2*t - 3*t)*(-2*t**2 + 4*t**2 - t**2).
-7*t**3
Expand -2 + 1 - k**2 + 2*k - 1 + (-k**2 - 3*k**2 + 7*k**2)*(2 - 4 + 1) + 55*k - 55*k + 22*k**2.
18*k**2 + 2*k - 2
Expand -m**3 + 2*m**3 - 3*m**3 + (-m**2 - m**2 + 3*m**2)*(0*m - 3*m + 2*m) - 604*m**2 + 604*m**2 + 41*m**3.
38*m**3
Expand (-3 - 1 + 8)*(3*u - 5*u + 6*u).
16*u
Expand t**2 + 0 + 0 + (-20*t + 13*t - 15*t)*(4*t - 3*t + 0*t).
-21*t**2
Expand 0*i**2 + i**2 + i**2 + (-3*i + 0*i + 2*i)*(306 - 31*i - 306).
33*i**2
Expand (3 - 4 - 1)*(3*t - 3*t**2 - 3*t) - 4*t**2 + 0*t**2 - 3*t**2 - t**2 + 3*t**2 - 4*t**2.
-3*t**2
Expand 0 - 2*p**2 + 0 - p**2 + p**2 + 2*p**2 + (-4*p**2 + p**2 + 2*p**2)*(-2 + 0 - 2) + p**2 - 4*p**2 + 2*p**2 + (-3 + p + 3)*(0 + 0 - 2*p).
p**2
Expand (2 + 0 + 1)*(-32 - 7*d + 32)*(d**2 + 0*d**2 - 3*d**2) + 3*d**3 - 5*d**3 + 5*d**3.
45*d**3
Expand (0*v + 2*v - 3*v)*((5*v + v - 3*v)*(2*v**3 - 4*v**3 + 0*v**3) - 3*v**4 - v**4 + 2*v**4).
8*v**5
Expand (3*i + 19 - 19)*(2 + 3 + 1).
18*i
Expand (3*y - 3*y - y)*(-y**3 + 5*y**3 - 3*y**3) + 5*y**4 - y**4 - 6*y**4.
-3*y**4
Expand (3*n**3 + 2*n**3 - 3*n**3)*(-1 + 4 - 10)*(-1 + 5 - 1).
-42*n**3
Expand (-14 + 32 - 18 + 111*k)*(0 + 3 - 1).
222*k
Expand (-3*t**2 + 3*t**2 + 2*t**2)*(0*t - 2*t + t) + (9*t**3 + 32*t - 32*t)*(-4 + 3 + 2).
7*t**3
Expand (19*j - 55*j + 9*j)*(-4 - 2 + 5).
27*j
Expand (-1 + 1 - 10*u)*(12*u - 3 + 3 - 5*u).
-70*u**2
Expand m**2 - m**2 + 2*m**3 + (-m**2 + 3*m**2 - 4*m**2)*(-2 - m + 2).
4*m**3
Expand (-3*d**2 - 5*d**2 + 19*d**2)*(4 - d**2 - 4) + 2 - 2 - 2*d**4 + (-4 - d**3 + 4)*(2*d - 3*d + 3*d) + 0*d**4 + 0*d**4 + 2*d**4 + 0*d**4 + d**4 - 3*d**4.
-15*d**4
Expand 3 + 2*s - 3 + 4*s + 2*s - 4*s + (-3*s + 2*s + 3*s)*(0 - 1 + 2) + 5*s - s - 2*s - s - 1 + 1 + 20 - 10 + 16*s - 9.
23*s + 1
Expand 9*q**5 - 2*q**5 - q**5 + (-5*q**5 + 6*q**5 - 3*q**5)*(2 - 4 - 1) + 3*q**5 - 2*q**5 + 0*q**5.
13*q**5
Expand (-2 - 2*y + 2)*(1 + 3*y + 0 + 1).
-6*y**2 - 4*y
Expand 7*g - 2*g + 4*g - 4 + 2*g + 4 + (-4*g + g + g)*(2 + 0 - 3) + 0*g + 0*g - g.
12*g
Expand s - s**3 - s + (2*s**2 + 2*s**2 - 2*s**2)*(-s + 2*s + s) - 2*s**3 + s - s + 6*s**3 - s**3 - 3*s**3 + 3*s - 3*s - 13*s**3.
-10*s**3
Expand (3*x**3 - 3*x**3 - x**3)*(4 - 5 + 3)*(-11 - 5 + 3).
26*x**3
Expand (-24 + 12*u**2 + 24)*(4*u + 0*u - 2*u).
24*u**3
Expand -w**5 + 2*w**3 - 2*w**3 - 2*w**3 + 2*w**3 - 2*w**5 + (0*w + 0*w - 2*w**2)*(0 + 0 + w**3) + 4*w**5 - 2*w**5 - 4*w**5 + 2*w**5 + 2*w**5 + 0*w**5.
-3*w**5
Expand 3*f**3 - 3*f**3 - 2*f**3 + (f + 0*f + f)*(-2*f**2 + f**2 - f**2) + 2*f**3 - 3*f**3 + 0*f**3 - 4*f**3 - 6*f**3 - 6*f**3 - 3*f**3 + 0*f**3 + f**3.
-25*f**3
Expand (-4 + 4 - n)*(-2 + 5 - 4)*(1 + 3 - 1).
3*n
Expand -10*x**3 - 29*x**3 - 4*x**3 + (0 - x**2 + 0)*(-3*x + 0*x + 4*x).
-44*x**3
Expand 1 + 5*o**5 - 1 + (2*o**3 + 4*o**3 - 5*o**3)*(3*o**2 - 4*o**2 + 3*o**2) - 2*o**5 + 5*o**5 - 6*o**5.
4*o**5
Expand (-t + 46 - 46 + 3*t**3 + 2*t**2)*(0*t + t**2 + 0*t).
3*t**5 + 2*t**4 - t**3
Expand (-11*m**2 + 6*m**3 + 11*m**2)*(-1 + 0 - 1) + m**3 - m**3 - 5*m**3.
-17*m**3
Expand (-w + 0*w**2 + 9*w**2 + 5*w**2)*(-2 + 2 + 2*w).
28*w**3 - 2*w**2
Expand (-24 + 9 + 100)*(z**2 - z**2 + 3*z**5).
255*z**5
Expand (4*z**2 - 4*z**2 + 2*z**2)*(-3*z**2 + 3*z - 3*z).
-6*z**4
Expand (-12*v + 15*v + 15*v)*(-1 + 1 - 3*v)*(-v + v**2 + v).
-54*v**4
Expand (3*a - 9*a - 10*a)*(1 - 3 + 1)*(-2*a**2 - 2*a + 2*a).
-32*a**3
Expand 0*u**3 - 5*u**3 + 4*u**3 + u**2 - u**2 - u**3 + (1 + 2*u - 1)*(3*u**2 - 5*u**2 + 4*u**2) + u**3 - u**3 + u**3 + 0*u**3 - u**3 + 6*u**3.
8*u**3
Expand (3*f + 3 - f - 3*f)*(0 + 2 - 1).
-f + 3
Expand (-t + t**3 + t)*(0 - 2*t**2 + 0) + (-2*t**2 + 0*t**2 + 2*t**3 - 6*t**3)*(2*t**2 + t**2 - 4*t**2).
2*t**5 + 2*t**4
Expand (-4 + 2 + 14)*(0 + 0 - 2*u**2)*(3*u**3 + 2*u**3 - 3*u**3) + (4*u**3 + u**3 - 4*u**3)*(-3*u**2 - 1 + 1).
-51*u**5
Expand k**4 + 4*k**4 - 6*k**4 + (0*k + k**2 + 0*k)*(-k**2 - k + k) + 192*k**3 - 99*k**3 - 94*k**3 + 12*k**4.
10*k**4 - k**3
Expand (3*k**3 - 2*k**3 - 2*k**3)*(-3*k**2 + 4*k**2 + 0*k**2 - 4).
-k**5 + 4*k**3
Expand (o**2 + 2 - 2)*(-2 + 0 + 5) + (o - 4*o + 2*o)*(-2*o + 2*o - 2*o) + (-4 + 4 + 2)*(0*o - o**2 + 0*o).
3*o**2
Expand (2*n**2 + 0*n**2 - 4*n**2)*(3*n - 562*n**3 - 5*n**2 + 565*n**3 - 4*n).
-6*n**5 + 10*n**4 + 2*n**3
Expand (-62 + 81 - 80)*(1 + 2 - 5)*(7*t - 3*t - 2*t)*(4 - 5 + 3).
488*t
Expand 2*r**2 + 3 - 3 - r - 9*r**2 - 3*r**2 + 2*r**2 + 0*r**2 + 2*r**2 - 3*r**2 + (r + r - 4*r)*(1 - 1 + 2*r).
-13*r**2 - r
Expand (p**3 - p**3 - 2*p**3)*(15 - 43 + 15).
26*p**3
Expand -5*g**3 + 5*g**3 - 5*g**4 + (2*g - g**4 - 2*g)*(3 - 5 + 3).
-6*g**4
Expand (2*y**3 + 0*y**2 + 0*y**2)*(-2*y - y - 5*y) - 2*y**4 + y**4 - 3*y**4.
-20*y**4
Expand (0 - l + 0 + (2 + 0 - 8)*(7*l - 2*l - 4*l) + (-3 - 3*l + 3)*(1 + 2 - 2))*(2 - 2 + l).
-10*l**2
Expand -y**2 + 3*y**2 + 0*y**2 + (-y - 2*y + 2*y)*(5*y + 4*y - 16*y).
9*y**2
Expand (-3*o**4 + o**4 - o**4)*(3 + 5 - 4).
-12*o**4
Expand -3*g - g**2 + 3*g + (2 - 2*g - 2)*(-5*g - g + g + 3*g - 2*g + g - g + 1 - 1 + (-2*g + 4*g - 3*g)*(-2 + 2 + 1) + 5*g - 3*g - g).
7*g**2
Expand (-2*m + 2*m + 2*m)*(-3 + 2 - 1) + 12*m + 6*m - 4*m + (m - 1 + 1)*(1 - 2 - 1).
8*m
Expand (3*c - 3*c**2 - 3*c + (-4 - 1 + 3)*(-c**2 + 2*c**2 - 2*c**2) + 0*c**2 + c**2 + c**2)*(-1 + 3*c + 1).
3*c**3
Expand (2*n - n + 2*n)*(4*n - 2*n - 3*n)*(5*n - 1 + 1 + (3 - 2 - 4)*(4*n - 2*n - 3*n)).
-24*n**3
Expand (0*v + 2*v + v)*(-4*v**2 + 4*v**2 - 2*v**2) + v**3 + 0*v**3 - 4*v**3.
-9*v**3
Expand 0*q**3 + q**3 + 0*q**3 + (q**2 + 5*q**2 - 2*q**2)*(-3*q + 4*q - 3*q) + 0*q**2 + q**3 + 0*q**2.
-6*q**3
Expand (2*a - 3 + 3)*(5*a - 2*a + 2*a)*(-3*a + 0*a + 5*a)*(-1 - a**2 + 1).
-20*a**5
Expand (0 - 3*h**2 + 3 - 1)*(5*h - 6*h - 2*h).
9*h**3 - 6*h
Expand -o + o + o**4 - 6*o**4 + 4*o**4 + 0*o**4 + (-2 - 2*o**2 + 2)*(0*o + 0*o + 3*o**2).
-7*o**4
Expand (-d**4 + 3*d**4 - 3*d**4)*((-4 - 2 + 5)*(1 - 5 + 3) + 4 - 2 + 0 - 21 - 5 - 20).
43*d**4
Expand (-2*t**5 + 2*t**5 + 2*t**5)*(2 - 3 + 2)*(1 - 2 + 2).
2*t**5
Expand (0*a + 2*a - 5*a + (-3 + 0 + 1)*(2*a - a + 4*a) + 2*a - 5*a + 2*a)*(4*a + 2*a - 4*a).
-28*a**2
Expand (5 - 5 + x)*(2*x + 3*x - 29*x).
-24*x**2
Expand (-5*m - 1 + 1)*(-1 + 1 - m).
5*m**2
Expand (-d + 5*d - 3*d)*(0*d**4 - 3*d**4 + d**4) + d**5 - 3*d + 3*d + (d**2 - d**2 + d**3)*(-9*d + 60*d**2 - 28*d**2 - 36*d**2).
-5*d**5 - 9*d**4
Expand (2*q - 4 + 4)*(0*q + 3*q - 2*q)*(0 - 1 + 2).
2*q**2
Expand (-4 + 2 + 4)*(-2*u**4 - 2*u**4 + 2*u**4) + (3*u**4 - 4*u**4 + 0*u**4)*(1 - 3 - 1) + (2*u**3 - 2*u**3 + u**3)*(-3 + 3 - 2*u).
-3*u**4
Expand (-2*p + 0*p + 0*p)*(0 - p + 7 - 6).
2*p**2 - 2*p
Expand (-14 + 3*n + 31 - 16 - n**2)*(-5*n + 0*n + 4*n).
n**3 - 3*n**2 - n
Expand 70*b - 13*b**4 - 70*b + (7*b**2 - 3*b**2 - 2*b**2)*(b**2 - 5*b**2 + 5*b**2).
-11*b**4
Expand (2*h**2 - 4*h**2 + 3*h**2)*((-2*h - h + 4*h)*(-4 + h + 4) + h**2 + h**2 + 2*h**2 + h + h**2 - h).
6*h**4
Expand -6*m**4 + 2*m + 6*m**4 - 4*m**5 + (3 + m - 3)*(-3*m**4 + 6*m**4 - 2*m**4).
-3*m**5 + 2*m
Expand (v**2 - v**2 - 2*v**2)*(5*v**3 + 0*v**3 - 3*v**3) - 3*v**5 + 3*v**3 - 3*v**3 + (-v**4 - v**4 + 0*v
|
{
"pile_set_name": "DM Mathematics"
}
|
?
453000
What is -2.58465 rounded to 2 decimal places?
-2.58
What is -73.39551 rounded to one dp?
-73.4
What is -0.00003126361 rounded to 5 decimal places?
-0.00003
Round 0.005098985 to five dps.
0.0051
Round 29208.26 to the nearest 100.
29200
What is 1399580 rounded to the nearest 1000000?
1000000
What is 726214 rounded to the nearest 100000?
700000
Round 0.0000002473867 to seven dps.
0.0000002
What is 7.908998 rounded to zero decimal places?
8
What is -4812.9583 rounded to the nearest 1000?
-5000
Round 898.631 to the nearest ten.
900
What is 0.001272145 rounded to six dps?
0.001272
Round 555.3749 to the nearest integer.
555
What is 71434100 rounded to the nearest one million?
71000000
What is 0.6645142 rounded to one dp?
0.7
Round -0.0000239953 to five dps.
-0.00002
Round 0.032717893 to four dps.
0.0327
What is 62.0938 rounded to one dp?
62.1
Round -0.000018194 to 5 dps.
-0.00002
Round 3120.15 to the nearest 1000.
3000
What is 0.00001936182 rounded to 7 dps?
0.0000194
What is -355.356 rounded to 0 dps?
-355
Round -377671000 to the nearest 1000000.
-378000000
Round -0.512506 to two decimal places.
-0.51
What is -13.45362 rounded to the nearest integer?
-13
What is 14398.52 rounded to the nearest 10?
14400
Round -18625.388 to the nearest one hundred.
-18600
What is 53541.53 rounded to the nearest ten?
53540
What is -235532 rounded to the nearest one thousand?
-236000
What is -242221 rounded to the nearest 1000?
-242000
Round 0.0007625633 to 7 dps.
0.0007626
Round 25439.64 to the nearest one hundred.
25400
Round 5492.7692 to the nearest one hundred.
5500
What is -0.00055226024 rounded to 7 decimal places?
-0.0005523
What is -7548610 rounded to the nearest one million?
-8000000
What is 156.6583 rounded to one dp?
156.7
Round -81410948 to the nearest 1000000.
-81000000
What is -233356 rounded to the nearest 10000?
-230000
Round -9.31756 to 1 dp.
-9.3
What is -0.0452293 rounded to two dps?
-0.05
What is 0.00405753 rounded to five dps?
0.00406
Round 1334722.54 to the nearest one hundred thousand.
1300000
Round -1325100 to the nearest 10000.
-1330000
What is 758817.1 rounded to the nearest 100000?
800000
Round -0.000000286228 to 7 dps.
-0.0000003
Round -0.000001855955 to 7 decimal places.
-0.0000019
What is -4429612300 rounded to the nearest one million?
-4430000000
What is 714602.88 rounded to the nearest ten thousand?
710000
What is -0.01104072 rounded to 5 decimal places?
-0.01104
What is 6920920 rounded to the nearest one hundred thousand?
6900000
What is -52941620 rounded to the nearest 10000?
-52940000
What is 345.115 rounded to the nearest integer?
345
What is 1.748769 rounded to 2 decimal places?
1.75
Round 0.00847775 to three dps.
0.008
Round 0.0001094572 to 6 decimal places.
0.000109
Round 7.1476 to the nearest ten.
10
What is -9968.36 rounded to the nearest ten?
-9970
Round 286.48331 to the nearest 100.
300
Round -3692445.4 to the nearest 10000.
-3690000
What is -0.18996602 rounded to 2 dps?
-0.19
What is 1509.45 rounded to the nearest 100?
1500
What is -186878 rounded to the nearest 1000?
-187000
Round 1887110.1 to the nearest 10000.
1890000
Round -46561.8 to the nearest ten thousand.
-50000
What is 11757282 rounded to the nearest 1000000?
12000000
What is -0.00014602064 rounded to six dps?
-0.000146
What is 0.000002713106 rounded to seven decimal places?
0.0000027
Round 6129.8 to the nearest ten.
6130
Round -0.002289555 to five dps.
-0.00229
Round -4517 to the nearest integer.
-4517
What is -4.010335 rounded to one dp?
-4
What is 4320.463 rounded to the nearest one hundred?
4300
What is 1.02334322 rounded to 4 dps?
1.0233
Round 10.30726 to 2 decimal places.
10.31
What is -0.0000174152 rounded to seven decimal places?
-0.0000174
What is 17261590 rounded to the nearest ten thousand?
17260000
What is -198.001 rounded to zero decimal places?
-198
Round 373890770 to the nearest 1000000.
374000000
What is 0.00038255099 rounded to seven dps?
0.0003826
What is 304065200 rounded to the nearest one million?
304000000
Round 0.06349075 to 2 decimal places.
0.06
Round 1.7411635 to one dp.
1.7
Round -4330596 to the nearest 100000.
-4300000
What is -15.3285 rounded to the nearest integer?
-15
Round 88.25457 to zero decimal places.
88
What is -3368547200 rounded to the nearest 1000000?
-3369000000
What is -12990.4 rounded to the nearest 10?
-12990
Round -0.0001193508 to 7 decimal places.
-0.0001194
Round 0.00005218994 to 7 decimal places.
0.0000522
Round -5010055 to the nearest ten thousand.
-5010000
What is -0.000018829 rounded to 6 dps?
-0.000019
What is 3003.2 rounded to the nearest one thousand?
3000
What is 114183021 rounded to the nearest one hundred thousand?
114200000
Round -358.336 to the nearest 100.
-400
What is -253727 rounded to the nearest 10000?
-250000
What is -0.00000784428 rounded to 7 dps?
-0.0000078
What is 47971.85 rounded to the nearest one hundred thousand?
0
Round 0.000131314 to six decimal places.
0.000131
What is 964630 rounded to the nearest 100000?
1000000
Round -673298.45 to the nearest 100000.
-700000
What is 145949.2 rounded to the nearest ten thousand?
150000
Round -0.000000088764 to seven decimal places.
-0.0000001
What is 2190.652 rounded to zero dps?
2191
What is 0.000032228 rounded to five dps?
0.00003
Round -0.00013400778 to 7 dps.
-0.000134
Round 309.185 to the nearest integer.
309
What is -6436.348 rounded to the nearest one thousand?
-6000
Round 2318.323 to the nearest one hundred.
2300
Round 0.000686234 to 6 dps.
0.000686
Round -207817000 to the nearest one million.
-208000000
Round 0.000014551529 to 6 decimal places.
0.000015
Round 1447612.9 to the nearest 1000.
1448000
Round 300987.7 to the nearest 10000.
300000
Round -19.959239 to the nearest integer.
-20
What is -8.312462 rounded to the nearest integer?
-8
What is -0.0003094864 rounded to seven decimal places?
-0.0003095
What is -0.00006882718 rounded to seven decimal places?
-0.0000688
Round 1147497 to the nearest 1000.
1147000
What is 0.017969921 rounded to 2 decimal places?
0.02
What is 0.00005990222 rounded to five dps?
0.00006
Round -0.000007243184 to seven decimal places.
-0.0000072
Round 175.41704 to one decimal place.
175.4
Round -6.636196 to 1 decimal place.
-6.6
Round 187.767 to zero decimal places.
188
Round -0.0000423092 to six dps.
-0.000042
What is 0.01537594 rounded to five dps?
0.01538
What is 216.6 rounded to the nearest 100?
200
Round 0.00022305148 to 7 decimal places.
0.0002231
Round -384.22682 to the nearest one hundred.
-400
Round -613593 to the nearest 10000.
-610000
What is -65995.3 rounded to the nearest one thousand?
-66000
What is -0.005104663 rounded to three decimal places?
-0.005
What is 1273627.3 rounded to the nearest 100000?
1300000
Round 0.00380838 to 5 dps.
0.00381
What is -3494.9576 rounded to the nearest 100?
-3500
Round 8442250 to the nearest one hundred thousand.
8400000
Round -314132300 to the nearest 1000000.
-314000000
Round -292.21159 to the nearest 100.
-300
What is 1891.649 rounded to the nearest 10?
1890
Round -0.000344629 to 4 decimal places.
-0.0003
What is 0.0000001340503 rounded to seven dps?
0.0000001
What is -0.000005178437 rounded to seven dps?
-0.0000052
Round 0.000011532039 to 7 dps.
0.0000115
What is -520.566 rounded to the nearest one hundred?
-500
What is -423347.8 rounded to the nearest 100?
-423300
Round 13.19966 to 1 decimal place.
13.2
Round 2094.4034 to the nearest integer.
2094
What is 5.343641 rounded to 3 dps?
5.344
Round -1680.62 to the nearest one thousand.
-2000
Round -1669.874 to the nearest 10.
-1670
What is 2337198 rounded to the nearest one hundred thousand?
2300000
What is -0.00208276 rounded to three dps?
-0.002
Round -14.37704 to the nearest integer.
-14
Round 13130.514 to the nearest 10.
13130
What is 0.0000089738 rounded to 7 decimal places?
0.000009
Round -669269 to the nearest 100000.
-700000
What is -0.000220959 rounded to six decimal places?
-0.000221
Round -0.10040861 to 3 dps.
-0.1
What is 1117.687 rounded to the nearest 100?
1100
What is -4.2536843 rounded to three decimal places?
-4.254
Round -41340.557 to the nearest one thousand.
-41000
Round -0.01682639 to three dps.
-0.017
Round 4384914000 to the nearest 1000000.
4385000000
Round 147.4235 to the nearest 100.
100
Rou
|
{
"pile_set_name": "DM Mathematics"
}
|
4*j - 4*a = 24 + z, 5*a + 73 = 2*j. Calculate the lowest common multiple of 10 and j.
220
Let u = 111533201/86980 - -715/4349. Let j = u - 1283. Find the common denominator of j and 57/32.
160
Calculate the common denominator of 10 - 2436/468*2 and 23/15.
195
Let a = -15 - -13. What is the common denominator of a/3 - (-140)/230 and 61/15?
345
Suppose -2*f = y + 12, -2*f = 4*y + 40 + 26. What is the common denominator of (-4)/y - 4329/(-1296) and (-567)/(-66) + -3 - 4?
176
Suppose 3*d + 2*y = -52, -3*d - 4*y + 1870 = 1914. Calculate the common denominator of d and (-1 - (-135)/64)*-2.
32
Let s = 57 + -36. Let y(h) = 2*h**3 + 22*h**2 - 10*h - 30. Let m be y(-12). Let l = m - -225. What is the lowest common multiple of s and l?
189
Calculate the common denominator of 3 - (4/5280)/((-85)/(-326332)) and 47/66.
1650
Suppose -4*y = -31 - 17. Suppose y = q + 3*v, 5*v = 5*q + 20 - 0. Suppose q*r + 2*r = 12. What is the lowest common multiple of r and 4?
12
Suppose 30*f + 243*f = 517608. Calculate the least common multiple of 1896 and f.
1896
Let n(h) = -2*h**3 + 2*h**2 - 5*h + 3. Let m be n(2). Let r be 5051/(-861) + (m - -14). Let d = r - 34/123. Find the common denominator of d and 20/11.
77
Let r = -4860 - -5224. Calculate the least common multiple of 26 and r.
364
Suppose 75 - 59 = -2*i. Find the common denominator of -31/18 and i/(5 - 1) + (-625)/(-60).
36
Let b(u) = -143*u**2 + 3892*u - 36. Calculate the least common multiple of b(27) and 216.
19224
Suppose -482 = -2*m - o + 95, -4*m - 5*o = -1157. Calculate the smallest common multiple of m and 88.
3168
Suppose 4 + 14 = 2*d. Suppose 4*i - 27 - d = 0. Calculate the least common multiple of i and (760/608)/(2/8) + 16 + 0.
63
Suppose 0 = 4*p - 12, -2*q + 16 = -5*p + p. Let g(s) = s**2 - 16*s - 32. Let a be g(q). Calculate the common denominator of (2/3)/(a/1035) and -63/10.
10
Let p = -8939/5 + 53497/30. Find the common denominator of p and ((53940/(-1875))/(-29))/((-18)/(-15)).
150
Let q = -45468/5 + 9094. Find the common denominator of 16/89 and q.
445
Suppose 18*t = 2*t + 240. Calculate the smallest common multiple of 5/((-5)/(-5 + -65)) and t.
210
Let y = -369627313/975 + 379105. What is the common denominator of 41/375 and y?
4875
Let c = 156721699/4455177456 + 1/6086308. Calculate the common denominator of -121/2928 and c.
2928
Let h(g) = 11*g**2 + 14*g**2 + 3*g + g**3 + 14*g**2 + 24 - 32*g**2. What is the smallest common multiple of h(-7) and 4?
12
Let x be (-6)/(-18) - 2 - (-2)/3. What is the lowest common multiple of 42/(-63)*9/x and (3/6)/(1/8)?
12
Suppose -y = -4*w + 420 + 4162, -5696 = -5*w - 4*y. Calculate the least common multiple of w and 36.
10296
Suppose 0 = 5*i + 5*m - 16070, 4*i + 70*m - 12904 = 74*m. Calculate the lowest common multiple of i and 28.
3220
Let o be (0 + 5)*4/(-10). What is the common denominator of o/(-4) - (-61)/(-5) and (6/(-36))/((-92)/5589)?
40
Let q = 226 - 212. Let r(w) = -3*w**3 + 2*w + 13. Calculate the least common multiple of r(-3) and q.
616
Let u be (-3)/(21/196) + 13. Let o = 13 - -11. Let g = u + o. Calculate the least common multiple of 39 and g.
117
Let k(b) = 3*b. Calculate the lowest common multiple of k(2) and (3 + (-4)/20)/((-3)/(-45)).
42
Suppose 5*l + 23 = 2*j + 9, -4*j + 46 = -l. Suppose 0 = 5*y - 8*y + j. Suppose 94 - 346 = -6*o. What is the smallest common multiple of y and o?
84
Suppose 995 = 2*h - 3*x, 0 = 10*h - 6*h + x - 1955. What is the smallest common multiple of 147 and h?
1470
Let m = 1487/7 + -25961/126. Calculate the common denominator of m and -25/542.
4878
Suppose 7*r = 6 + 1. Let l be ((-6)/(-5))/(2/(-110)). What is the common denominator of 57/28 and r + (531/l)/3?
308
Let g be 5 + (-7)/(889280/368826). Let a = g + -6/1985. Calculate the common denominator of -67/12 and a.
96
Suppose 5*j + 5*u - 55 = 0, j + 0*u - 1 = 4*u. Suppose -15*f + 207 = -18. Calculate the least common multiple of f and j.
45
Let m(r) = r**3 - 6*r**2 - r + 2. Let l be m(6). Calculate the common denominator of 47/84 and l/(-2) + (-1078)/264.
84
Let c be (-1)/((-27)/(-6)) + 952/153. Calculate the common denominator of 73/28 and c/(-18) + 0 + (-111)/72.
56
Suppose 3*q - 27 = 2*q. Let b be 107 - (2 - (-3 + 5))/2. Suppose 13*w = b + 49. Calculate the smallest common multiple of q and w.
108
Let j = -9084643/600332082 + 4/312999. Calculate the common denominator of j and -143/1644.
11508
Let p be (-5 + (-16196)/(-3240))*(3 - -7441). Let f = p - -398/45. What is the common denominator of f and -16/81?
81
Suppose -41*q + 4*u + 364 = -1100, 21 = q - 5*u. What is the lowest common multiple of 62 + (0 - (-2)/(-1)) and q?
180
Let s be 0/(-2 + (9 - 0) + -4). Suppose 0 = 5*h - s - 25. Suppose -h*d = 2*c - 4*d - 39, 2*c - 4*d - 54 = 0. Calculate the smallest common multiple of 9 and c.
63
Suppose 20*b + 45 = 25*b. Let l(r) = r**3 + 4*r**2 - 4*r - 1. Calculate the least common multiple of l(-4) and b.
45
Let d = -514/253 - 222/253. Let a = 5 + -11. Calculate the common denominator of d and a/(-9) - 75/369.
451
Let s(a) be the first derivative of a**4/4 + 2*a**3/3 + a**2 + 10*a + 33. Calculate the least common multiple of 66 and s(0).
330
Let x(n) = n**2 - n - 4. Let h be x(-2). Let v be (4 + -1)*h/(-3). Calculate the common denominator of -47/50 and 650/(-80) + (4 + v)/(-2).
200
Let y(f) = f + 36. Let n be y(11). Suppose n*d = 51*d - 8. Suppose 3*k + d*v - 42 = -0*k, -k = 2*v - 10. What is the least common multiple of k and 20?
80
Let t = 191341/24 - 7977. Calculate the common denominator of 157/252 and t.
504
Let r(u) = 9*u**3 - 9*u**2 + 3*u - 57. Let p be r(-16). Let y = 1649555/42 + p. Find the common denominator of 107/30 and y.
210
Suppose 2*z + 5*g = -0*z + 35, 45 = 3*z + 5*g. Suppose 9*q - 91 = -z. Calculate the smallest common multiple of (-30)/(-9)*(-12)/(-10) and q.
36
Let u = 4397 + -4355. Calculate the lowest common multiple of 49 and u.
294
Let i be 4/(-18) + 1 + (-4)/(-18). Calculate the common denominator of 5/((-50)/(-47)) - i and -46/9.
90
Let r(d) = -11*d**3 - d**2. Let x be r(1). Let l = 1 - x. What is the least common multiple of ((-1 - 0) + 16)*8/24 - -6 and l?
143
Suppose c + 272 + 133 = 2*g, -403 = -2*g + 3*c. Suppose -4*j + 376 = -4*p, g = 2*j - 3*p + 4*p. What is the common denominator of (-1)/4 - j/196 and 52/11?
539
Find the common denominator of -31/81 and (-710)/4680 + 6/192*4.
8424
Find the common denominator of -3 + 5/(150/74) and -89/996.
4980
Suppose 46*f - 137501 - 100687 = 0. Calculate the smallest common multiple of 18 and f.
15534
Let o = 34146 - 34137. Let x(b) be the first derivative of b**2 - 2*b + 1. What is the smallest common multiple of o and x(4)?
18
Calculate the lowest common multiple of (-18)/(-14) - 98397/(-5887) and (-3)/(6/(-88)) - 2.
126
Suppose -t = 2, -12926 = n - t + 3*t. Let w = -361731/28 - n. Find the common denominator of w and 23/20.
140
Let i = -1/111 + 15/296. What is the common denominator of i and ((-1155)/(-56))/15*11/(-20)?
480
Let h = 84 - 80. Suppose -32 = -12*r + h*r. Let o(x) = x - 2. Calculate the smallest common multiple of r and o(8).
12
Let q(h) = h**3 - 4*h**2 + 11*h - 9. Let o be q(6). Let k = 17 + o. What is the lowest common multiple of 16 and k?
1168
Let r = 3/844 - 3489/2110. Let v = -305947 - -1230615/4. Let s = 1715 - v. Calculate the common denominator of r and s.
20
Let h(g) = 175*g**3 - g**2 - 11*g + 18. Calculate the least common multiple of h(2) and 18.
4176
Let o(y) = 8*y + 12. Let a be (21/(-4))/7*4. Let b be o(a). Find the common denominator of 43/20 and 219/b + -6 + -2 + 4.
20
Suppose -8*z = -7*z - 1571. Let b = z + -1570. Calculate the least common multiple of (-4)/(1/(1 + -2)) and b.
4
Let g = 4/979 - 74416/2937. Suppose 5*h - 234 = 141. What is the common denominator of (110 - 108)/((-4)/h) and g?
6
What is the common denominator of ((-3)/(-10))/((-1620)/18750) and 41/24?
72
Suppose -1506 = -13*v + 1926. Let b = -260 + v. What is the lowest common multiple of 204 and b?
204
Let s(p) = -p**2 + 12*p + 8. Let l(r) = 2*r**3 - 6*r**2 - 25*r + 84. What is the lowest common multiple of l(4) and s(6)?
176
Suppose 48 = r + 4*y + 8, 0 = -5*r + 4*y + 344. Let k(p) = 4*p + 4. What is the least common multiple of k(4) and r?
320
Suppose 2*m = -4*x - m + 3, -4*x = 5*m + 3. Let t be (0
|
{
"pile_set_name": "DM Mathematics"
}
|
lion?
4000000
Let g = -0.02 - 0. Let v = -238.67 + 238.689998. Let t = g + v. What is t rounded to six decimal places?
-0.000002
Let k = 96.0000019 + -96. Round k to four decimal places.
0
Let o = -945 - -1713. Round o to the nearest one hundred.
800
Let i be -2*((0 - 4) + 3). Suppose 0 = 5*b + i*b - 1736. Let f be 4/(-18) - b/18. Round f to the nearest 10.
-10
Let j = 0.0142744 + 1.055721. Let i = j + -1.07. Round i to 6 decimal places.
-0.000005
Let g = 479 + -478.574. Let z = g - 0.33. Round z to two decimal places.
0.1
Suppose 0 = -12*v - 34*v - 384100000. Round v to the nearest one million.
-8000000
Let m = 1622.9999996126 + -1623. What is m rounded to seven decimal places?
-0.0000004
Let o be (4 + -2 - -3778)*(-505)/202. Round o to the nearest one thousand.
-9000
Let c = 1.2 - 16.2. Let r = c - -20. Let n = -4.99999954 + r. Round n to 7 dps.
0.0000005
Let s(v) = 44*v - 99. Let b(m) = 65*m - 149. Let u(y) = -5*b(y) + 8*s(y). Let x be u(14). What is x rounded to the nearest 10?
330
Let d = 11.2 + -11.1999538. Round d to six dps.
0.000046
Let x = -30.06402046 - 0.08891154. Let v = x + 1.151982. Let i = v + 29. Round i to four decimal places.
-0.001
Let h = -3198371 - -12308371. What is h rounded to the nearest 1000000?
9000000
Let i = 441.9 + -469. Let o = 26 + i. Let c = -1.099986 - o. What is c rounded to five dps?
0.00001
Let z = 34 - 32.7. Let f = 0.5 - 2.9. Let t = f + z. Round t to the nearest integer.
-1
Let a = -1310 + 1295.29. Let u = a + 14.8611. Let x = -0.167 + u. What is x rounded to 3 dps?
-0.016
Suppose -w + 332 = -209. Suppose w + 14 = 5*o. Suppose 2*c + 5*p + 0*p - o = 0, -p = 4*c - 231. Round c to the nearest 10.
60
Let r = 8.422 + -8.4226909. What is r rounded to 4 decimal places?
-0.0007
Let a = 28.2 - 28.19997728. What is a rounded to five decimal places?
0.00002
Let r = 0.4 - 0.74. Let t = -0.3 - r. Let i = t - 0.04043. Round i to four dps.
-0.0004
Let h be (7/21)/(1/(-6)). Let w be h/3 - (-20999986)/(-21). Round w to the nearest one million.
-1000000
Let j = 30.068 - 2.298. Let c = -14 - -42. Let y = j - c. Round y to one decimal place.
-0.2
Let r = 50.8 - 61.01. Round r to one dp.
-10.2
Let w = -372.201 + 372. What is w rounded to 1 decimal place?
-0.2
Let r = -180.99999939 + 181. What is r rounded to seven decimal places?
0.0000006
Let y = -35644.16253 - -35644. Let a = -7.76047 + y. Let u = -8 - a. Round u to two dps.
-0.08
Let f be (28/35)/((-2)/(-5)). Let n be 2 + f - (-2449107)/(-3). Let b = 1496365 + n. What is b rounded to the nearest one hundred thousand?
700000
Let y = -1508061 + 1508064.699988. Let t = 3.7 - y. What is t rounded to 5 decimal places?
0.00001
Suppose 3*o = 4*u - 1779904, -55*o + 53*o = 5*u + 1186595. Round o to the nearest ten thousand.
-590000
Let a(i) = -2501*i**2 + 4. Let z(j) = 5*j - 3*j - 7 - j - 3. Let c be z(12). Let m be a(c). What is m rounded to the nearest 100000?
0
Let w = 8 - 8.0015. Let p = -0.016 + w. What is p rounded to 3 dps?
-0.018
Let c = -0.16408 + 0.1374. What is c rounded to three decimal places?
-0.027
Let w = -3230 - -2207. Let f be w/1*(-6 - -7). Let m be 3 + -2 + 2 + f. Round m to the nearest 100.
-1000
Let b be 2055/(-135) + (-4)/(-18). What is b rounded to the nearest integer?
-15
Suppose 18*u + 2*k - 14474 = 14*u, 5*u + 5*k - 18085 = 0. Round u to the nearest one thousand.
4000
Let p = 3055 - 4097.6. Let d = -953 - p. Let t = d - 66. Round t to 0 dps.
24
Let j = 4.98 + -5. Let p = 16.98 - j. Let i = p - 19.9. Round i to the nearest integer.
-3
Let q = -106 + 106.236. Let g = q - 0.14. Round g to two decimal places.
0.1
Let i be (-2 + (-3 - -3))/1. Let s be ((-160)/(-56))/(i/(-7)). Suppose -z + 3*h - 29 = -s, 2*z + 3*h = -38. Round z to the nearest 10.
-20
Let k = 591.69 + -591.690025983. What is k rounded to 7 dps?
-0.000026
Let h = -41.7876 + 0.0876. What is h rounded to the nearest 10?
-40
Let d = 335147 - 102806. Let o = d - 1732341. Round o to the nearest 1000000.
-2000000
Let b = -21 + 31. Let l = -2 - b. Let s = l - -12.12. Round s to two decimal places.
0.12
Let j = -287.0506 - -287. Let x = j - -0.043. What is x rounded to three dps?
-0.008
Let f(a) = 4*a - 9. Let r be f(3). Suppose 0 = 5*b - j - 10000002, -r*j = -2 + 8. Round b to the nearest one million.
2000000
Let v = -0.765876952388 - -763742.065873952388. Let h = v + -763742. Let o = -0.7 - h. Round o to seven dps.
0.000003
Let k = 45.12 + -44. Let h = k + -0.65. What is h rounded to one decimal place?
0.5
Let n(d) = 166*d + 3*d**2 - 168*d + 1972*d**3 - 193*d**3. Let v be n(-3). What is v rounded to the nearest ten thousand?
-50000
Suppose 56*s - 51*s = -90. Let t be 3/(s/1688)*(-2228 - 22). Round t to the nearest 100000.
600000
Suppose -d + 5083820 = -6*d. Let x = d - -1455764. Round x to the nearest one hundred thousand.
400000
Let i = 0.04 + -168.04. Let z = i + 117. Let o = 51.0077 + z. Round o to three decimal places.
0.008
Let j = -313490 + 313490.9800475. Let a = 0.98 - j. Round a to five dps.
-0.00005
Let d = -78.4 + 73. Let i = -5.40000175 - d. Round i to 7 dps.
-0.0000018
Let c = -605.2 - -728. Round c to the nearest 10.
120
Let m = 436.99929 - 437. What is m rounded to three dps?
-0.001
Suppose 56 = 2*q - 2*z, 8*q - 3*q + 2*z = 175. Let v = q + 98. Round v to the nearest one hundred.
100
Let m = -1.754 - 2.857. Round m to the nearest integer.
-5
Suppose 0 = -3*n + 11 + 7. Let u be (-1200)/(-9)*n*-25. Round u to the nearest 100000.
0
Let w = 9.4 + -9.400754. What is w rounded to 4 decimal places?
-0.0008
Let y = -0.0577 + 0.0059. Let h = 0.051 + y. Round h to 4 dps.
-0.0008
Let o = -15.7 + -3.95. What is o rounded to the nearest integer?
-20
Let b = 84.99647 - 85. Round b to 3 decimal places.
-0.004
Let z = -0.205 + 0.905. Let q = 934.9799872 - 935.68. Let f = q + z. Round f to six dps.
-0.000013
Let d = -401 - -400.99547. What is d rounded to four decimal places?
-0.0045
Suppose -3 - 12 = -3*j. Suppose 4*a - 1 = 7, -m - j*a - 5110 = 0. Round m to the nearest 1000.
-5000
Let y = -31.38 + 32. Let p = y + -0.6108. What is p rounded to 3 decimal places?
0.009
Let f = 192 + -638. Let k = f - -485.2. Round k to zero dps.
39
Let u(z) = 1088*z**3 - 33*z**2 - 12*z - 3. Let j be u(11). Round j to the nearest 100000.
1400000
Let l = -2.8 + 2.5. Let c = -0.27 - l. What is c rounded to one decimal place?
0
Let c = 1.81698872 + -1.817. Round c to 6 decimal places.
-0.000011
Let x = -396.0697 - -366.069595. Let o = -30 - x. What is o rounded to five dps?
0.00011
Let v = 0.62 + -0.62. Let s = 0.00043 + v. What is s rounded to four decimal places?
0.0004
Let b(t) = 0 + 1 + t - 20*t**2 + 0*t**2 + t. Let p be b(-1). Let u be 150/1*(-140)/p. What is u rounded to the nearest 10000?
0
Let u = 36.0239182 - 0.0237982. Let x = u + -36. Round x to four decimal places.
0.0001
Let q = 1.19 - 1.1. Let d = -0.0949 + 0.0042. Let a = q + d. Round a to three decimal places.
-0.001
Let z = -82 + -31. Let d = z + 193. What is d rounded to the nearest ten?
80
Let q = -51070 + 72570. What is q rounded to the nearest 1000?
22000
Suppose -19440000 = -4*m - 4*u, 257*m - 260*m = 4*u - 14580000. Round m to the nearest one hundred thousand.
4900000
Let j = -0.042 + -0.458. Let h = 18 + j. What is h rounded to the nearest 10?
20
Let c = 66321 - -415579. Round c to the nearest 100000.
500000
Let w(f) = -7109*f**2 - 64*f + 20. Let u be w(30). What is u rounded to the nearest 1000000?
-6000000
Let d(q) = 2*q**2 - 10*q - 12. Let b be d(6). Suppose 2*p - 4*a - 9400004 = b, -2902407 = -p - 5*a + 1797588. Round p to the nearest 1000000.
5000000
Let d = -80322 + 80324.19966. Let j = 2.2 - d. What is j rounded to 4 decimal places?
0.0003
Let v be ((-6)/4)/((-3)/4). Let j be 789997 - (v - (1 + 4)). Suppose j = 2*m + 3*m. What is m rounded to the nearest ten thousand?
160000
Let n = 1114 - 1102.995. What is n rounded to 0 dps?
11
Let q = -4.836527 + 123.435977. Let f = q - 178.59974. Let v = 60 + f. Round v to four decimal places.
-0.0003
Let i = 229 + -257. Let c = -2876683876 - -2876683847.99999933. Let w = c - i. Round w to 7 decimal places.
-0.0000007
Let w = 4229 + 1379. Round w to the nearest one thousand.
6000
Let m = -4755284 + 4755294.999945. Let r = m + -11. Round r to five decimal places.
-0.00006
Suppose 0 = 20*m + 67506065 +
|
{
"pile_set_name": "DM Mathematics"
}
|
common multiple of (-188)/n - 4/(-14) and 8.
56
Let k = 3621/4 - 913. Suppose 4*q = -5*a + 25, -4*q = -0*a - 2*a - 18. Find the common denominator of a + -1 - (-81)/84 and k.
28
Let l = -28276395/8 - -3527517. Let d = -7041 - l. Find the common denominator of d and -1/2.
8
Let p be 0 + -3 - (-1 + 238). Calculate the common denominator of 91/10 and 406/p - (-4 - (-40)/12).
40
Let s(b) = -b**3 - 9*b**2 - 8*b - 15. Let w be s(-8). What is the common denominator of 69/((-3 - -2) + w) and -87/22?
176
Suppose c + 0*c - 4 = k, 3*k + 2*c + 2 = 0. Calculate the smallest common multiple of 18 and (28/k)/(-11 + 10).
126
Let k = -8/1007 + 97727/6042. Let w = -15075/14 + 1079. What is the common denominator of k and w?
42
Suppose 3*l - l = -3*y - 78, 4*y - l = -104. Let v = y + 28. Calculate the least common multiple of 11 and v.
22
Let t(g) be the third derivative of -g**6/60 - 2*g**5/15 + g**4/8 + g**3/6 + 34*g**2. What is the smallest common multiple of 8 and t(-6)?
1016
Let m be (-7)/(14/8) - 12. Let i(z) = -z**3 - 15*z**2 + 16*z - 10. Let v be i(m). What is the least common multiple of ((-4)/v)/(10/550) and 8?
88
Find the common denominator of (4026/(-564))/11*(-2)/2 and 21/10.
470
Suppose -429 = -9*f + 12*f. Let n = 863 - f. Let b = n - 5933/6. What is the common denominator of b and 5/8?
24
Calculate the lowest common multiple of 165 and ((-516)/43)/((2 - 1)*-2).
330
Suppose j = 3*k + 673 + 351, -k + 2 = 0. Calculate the least common multiple of 2 and j.
1030
Let p(u) = 6*u**2 - 6*u - 28. Calculate the lowest common multiple of p(-3) and 44.
44
Let h = -25 - -36. Suppose 3*x = 3*j - 40 + 13, -5*x - 4*j = 18. Let w(m) = m + 12. What is the lowest common multiple of w(x) and h?
66
Let c = 95 - 1039/11. Suppose -5*q + 5*i - 555 = 0, 7*i - 330 = 3*q + 3*i. Let y = 164 + q. What is the common denominator of y and c?
11
Let z(y) = -y**2 + y + 4. Let o be (-232)/16*(-3 - -1). Suppose o*i - 25*i = 40. What is the smallest common multiple of z(0) and i?
20
Let g be (36/(-1106))/((-6)/140). Let h = -5596/711 + g. What is the common denominator of 61/24 and h?
72
Let v = -81077111 - -2674595537/33. Let f = 28759 + v. Find the common denominator of -31/12 and f.
132
Suppose -u = 2*u - 30. Suppose 0 = 4*l - 26 - 6. Suppose 62 = l*f + 14. Calculate the least common multiple of f and u.
30
Suppose -4*c = -5 - 27. Let y be ((-3)/(-18)*3)/((-6)/348). Let q = 39 + y. Calculate the lowest common multiple of c and q.
40
Let x = -59/4 - -313/22. Calculate the common denominator of -53/10 and x.
220
Suppose -4*r + 114 = 3*s, -2*s = -5*r - 4*s + 146. Calculate the lowest common multiple of 24 and r.
120
Let p = 55244 - 4474822/81. Find the common denominator of p and -47/33.
891
Let f(g) be the second derivative of 0*g**2 + 6*g + 0*g**4 + 0 + 7/20*g**5 + 1/6*g**3. Calculate the smallest common multiple of f(1) and 6.
24
Calculate the common denominator of 17/(-17) + 1*3/60 and 71/56.
280
Suppose 0 = 3*d - 0*d + 42. Calculate the lowest common multiple of d - -13 - (1 - 3) and 10.
10
Suppose -6*f - 139 = -3*w - f, -w = -5*f - 43. Let b = w + -46. Calculate the least common multiple of 4 and b.
4
What is the common denominator of 109/44 and -2 - ((-7 - -4) + (-46)/(-112))?
616
Suppose -x + 0 = 2. Let m be 6 + -3 + x + 2. Suppose g + m*g + 4 = -4*b, 5*g + 2*b - 10 = 0. Calculate the smallest common multiple of g and 12.
12
Suppose -36 = 3*v - 15. Calculate the common denominator of ((-186)/(-56) - (-2)/v) + -2 and ((-63)/12)/((-22)/(-8)).
308
What is the common denominator of -43/10 and ((-5)/10*17)/((-45)/(-33))?
30
Calculate the lowest common multiple of 10 and (12/14)/((-86)/(-15050)).
150
Find the common denominator of ((-47)/69)/((56/(-42))/1) and 79/8.
184
Suppose -64 = 2*g + 14. What is the common denominator of (13/g)/(8/282) and -85/22?
44
Suppose 3*p = 4*o + 514, 0 = o - p - 3*p + 122. Let i = 195 + o. What is the common denominator of -67/9 and -4 + 4 + i/(-10)?
18
Let j = -22/147 - 8563/735. Let d = -947/24 + 257/6. Calculate the common denominator of d and j.
40
Let s(u) = u**3 + 6*u**2 + 3*u - 7. Let v = -2 - 3. Let z be s(v). Let f = 2 + z. Calculate the least common multiple of f and 3.
15
What is the common denominator of (-2743)/455 - (-12)/126 and 43/75?
75
Let l(n) = -10*n - 2. Let j be l(-2). Let y be ((-3)/(j/111657))/10. Let r = -1856 - y. Calculate the common denominator of -61/14 and r.
140
Suppose 0 = -4*w - w + 2*r - 5, 0 = -5*w + r - 10. Let x = -1 + w. Let i(o) = o**3 + 4*o**2 + 11*o + 2. Find the common denominator of i(-3) and x.
1
Let g(c) = c**2 - 73*c + 1337. Calculate the smallest common multiple of (-4)/(-1) + (1 - 1) and g(38).
28
Let f = 11 + 34. What is the least common multiple of 8 and f?
360
What is the common denominator of 86/147 and (0 - -20)/(4/(-28)*18)?
441
Suppose 4*f - 43 = -5*t, 3*f - 18 = 4*t - 3*t. What is the lowest common multiple of 10 and f?
70
Let q be 4 + (-5 - (-36467)/8). Let y = -4569 + q. What is the common denominator of y and 91/74?
296
Calculate the common denominator of (40/180)/(5/(-6)) and -61/15.
15
Let d(z) = -z**3 - 11*z**2 - 22*z - 24. What is the lowest common multiple of 171 and d(-9)?
684
Let k(p) = -3*p**3 + 6*p**2. Let a(t) = 5*t**3 - 12*t**2 - t - 1. Let o(q) = 4*a(q) + 7*k(q). Calculate the smallest common multiple of o(-6) and 2.
20
Suppose -r = -4*y + 425, 5*y - 120 = 4*y + 3*r. Calculate the smallest common multiple of y and 5.
105
Suppose 0 = -2*g - 22 - 0. Let l = -13 - g. Let a(k) = -2*k**3 - 2*k**2 + 2. Calculate the least common multiple of 8 and a(l).
40
Suppose -3*j = -10*j + 84. What is the lowest common multiple of j and 52?
156
Let x = 1/4881 - -229361/224526. Find the common denominator of x and (-1514)/252 + 2/9.
322
Suppose t + 2*d = -3*d - 95, 4*t = -d - 437. Let l = -417/4 - t. What is the common denominator of l and -37/38?
76
Let g = -9 - -30. Suppose g + 39 = 3*s. What is the lowest common multiple of 12 and s?
60
Suppose -5*w = -9*w + 300. Let t = w - 65. Calculate the lowest common multiple of 11 and t.
110
Let g = -54773/8 + 6857. Find the common denominator of g and -75/28.
56
Suppose -45 = j + 3*c - 0*c, 3*j - 2*c = -113. Let p = 41 + j. Suppose -4 = 4*w, 0*h = p*h - 5*w - 49. What is the lowest common multiple of 38 and h?
418
Let o(v) = -19*v + 56. What is the lowest common multiple of o(2) and 45?
90
Calculate the common denominator of 25/122 and 21/28*18/(-10) - -1.
1220
Let v = -10441/19650 - 82/393. What is the common denominator of -62/65 and v?
650
Let w = 1656477/40 - 41415. Calculate the common denominator of w and 13/50.
200
Let f(m) = 14*m**2 - 5*m - 11. Let a be f(-5). Let w be a/(1/(-2)*2). Calculate the common denominator of 9 and w/(-12)*3/(-2).
2
Calculate the common denominator of 41/12 and (6/12*-2)/((-12)/(-146)).
12
Let w be 62/8 - (-8)/32. Suppose 2*i + w = 22. Suppose 6 + 4 = c. What is the smallest common multiple of i and c?
70
Let v = -917869/96 + 9562. Find the common denominator of v and -57/20.
480
Suppose -2*r = q + 3*q - 6, q + 11 = 2*r. Suppose r*b - 4 - 16 = 0. Calculate the common denominator of 1*6/11*b and 48/11.
11
Suppose 0*j + 3*j = 795. Calculate the common denominator of 43/5 and (7*(-1)/(-2))/(j/(-106)).
5
Let i be 45/5*(-16)/(-6). Suppose 4*j + 0*j - i = 0. Suppose -56 = -12*s + 5*s. What is the smallest common multiple of j and s?
24
Let l be 10 + -21 - (-2)/(-4)*2. Suppose -t - 5 = -2*k - 1, 0 = 2*k + 4*t - 14. What is the smallest common multiple of k and (28/l)/(0 + 3/(-9))?
21
Let l(j) = -2*j - 4. Let p be (-20)/(-170) + 138/(-17). Calculate the lowest common multiple of 27 and l(p).
108
Suppose 8*q + 15 = 31. Find the common denominator of 89/12 and ((11/(-33))/(q/81))/(-33).
132
Let l = 251152 - 246129083/980. Find the common denominator of -77/2 and l.
980
Let b = -37036204/21 + 1763959. Let q = -2340/7 + b. What is the common denominator of q and 40/63?
63
Let a(r) = 3*r + 69. Let j(y) = 2*y + 35. Let u(m) = 5*a(m) - 9*j(m). Calculate the least common multiple of 12 and u(6).
12
Let p = 749353/2192260 + 3/156590. What is the common denominator of -5/6 and p?
588
Let b = -53180/11 - -4830. Calculate the common denominator of b and 41/240.
2640
Let o be (-165508)/14280 - 3/(-1 + -2). Let y = -54905/357 - -1080/7. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
3. Let m(b) = -b**3 - 17*b**2 + 35*b - 12. What is the tens digit of m(p)?
4
Suppose 0*l - 2*d = 2*l - 6, -d + 9 = 2*l. Let h be -1 + (9/l)/(3/6). Suppose 7*v - 450 = h*v. What is the tens digit of v?
9
Suppose 10*q = 13*q - 3*j - 63, -5*j = q - 33. Suppose 0 = -q*v + 2758 + 4004. What is the tens digit of v?
9
Let h = 74794 - 53294. What is the hundreds digit of h?
5
Suppose -2*s = 5*r + 128, -s - 4*r - 34 = -9*r. Let j = 714 + s. What is the tens digit of j?
6
Suppose -13*a - 3085 = -8*a. What is the units digit of 0 + -7 - (a + -2)?
2
Suppose 2*c - 29 = -w, -41*c + 40*c = -w + 35. Suppose -w*f + 12448 - 1393 = 0. What is the hundreds digit of f?
3
Let d(p) = -2758*p**3 + p**2 + 40*p + 41. What is the hundreds digit of d(-1)?
7
Let b(d) = -59*d + 42. Let i = 291 + -293. What is the tens digit of b(i)?
6
Suppose 7*r = 4*r - p - 103, 0 = -5*r - 4*p - 174. Let x = -33 - r. What is the tens digit of 4/x + -2 - -65?
6
Suppose 3*a = 4*h + 5, 3*a + 13 = -2*h - 3*h. What is the hundreds digit of 420 + a*(-5 + 11)?
4
Suppose 10 = 5*d, 0 = 4*f - d - 6 - 8. Suppose -5*n + 6*n = 5*g - 2763, g - 3*n - 561 = 0. Suppose f*l + g = 12*l. What is the units digit of l?
9
Let r be -5 + -1 + -4 + 786. Let h = 1412 - r. Suppose -24*p + h = -21*p. What is the tens digit of p?
1
Let j(l) = l**3 - 5*l**2 - 12*l + 10. Suppose -s - 5*v = -30, -4*s + s + 5*v = 10. Let u be 3*s/5 - -5. What is the tens digit of j(u)?
0
Let g(k) = 18*k**3 + 2*k**2 + 15*k - 26. Let z(y) = -6*y**3 - 5*y + 9. Let t(f) = -2*g(f) - 7*z(f). What is the units digit of t(7)?
6
Let p(y) = -14*y**2 - 2*y + 792. Suppose 0 = j + 17*j. What is the tens digit of p(j)?
9
Let a(w) = -7*w - 72. Let z be a(-18). Suppose -2*f - 10 = 0, 2*f - 20 = 4*l - z. What is the units digit of l?
6
Let x(l) = l**3 + 14*l**2 + 21*l - 33. Let c be x(-12). Suppose 49*y - 5*d = 47*y + 986, 504 = y + c*d. What is the units digit of y?
8
What is the tens digit of (-16933)/(-2) + 9/21*(-217)/(-186)?
6
Let d(t) = -t**3 + 18*t**2 - 15*t - 13. Let c be d(17). Suppose 6 = 9*h - c. Suppose -3*y = -h*l - 756, 3*y + 4*l - 343 = 399. What is the hundreds digit of y?
2
What is the units digit of (-136)/(-3876) + 4180944/171?
0
Let j = 66 + -45. Suppose j*i = 28*i - 4550. What is the tens digit of i?
5
Let n = -172 - -174. Suppose -5*i - n*x = -1036, 0 = -3*x + 26 - 17. What is the hundreds digit of i?
2
Let x(i) = i**2 - 7*i + 1. Let t be x(6). Let g = 1537 - 1510. Let l = t + g. What is the units digit of l?
2
Let q(o) = -3*o**3 - 8*o**2 - 33*o - 61. What is the units digit of q(-16)?
7
Suppose 3*b = 7 + 2. Suppose -12 = -6*m + b*m. Suppose -3*u + 47 = -m*x, -x + 2*x + 23 = 2*u. What is the units digit of u?
9
Suppose -7*c - 4*i = -10*c + 7810, -5*c + 5*i + 13010 = 0. Let n = -1807 + c. What is the tens digit of n?
9
Let s be (6/30*5)/(3/(-9)). Let r(b) = -13*b**3 + 4*b**2 - 10*b - 32. What is the units digit of r(s)?
5
Let y(c) = -1 + 13*c**2 - 98254*c + 98253*c + 1. Let h = 1 + -2. What is the tens digit of y(h)?
1
Let a(s) = s**3 - 3*s**2 + 2*s + 723. What is the hundreds digit of a(0)?
7
Let w = 553 - 544. Suppose -3*j + 3560 = -5*y, -4*y + w*y = -5*j + 6000. What is the units digit of j?
5
Let h = -65 - -122. Let n = h - -245. What is the hundreds digit of n?
3
Let p = 25 + -21. Let l be (-2 - -14)/p + 206. Suppose g - l = -72. What is the hundreds digit of g?
1
Let k(c) = 440*c - 1345. What is the tens digit of k(4)?
1
Suppose 0 = -3*j + 104 - 32. Suppose 3*u + 8736 = j*u. What is the hundreds digit of u?
4
Suppose -12*y + 436 + 1004 = 0. What is the thousands digit of 0 + 1030 - y/15?
1
Suppose -2*t + 30649 - 2140 = 5*p, -p + 5703 = t. What is the hundreds digit of p?
7
Suppose 3*l - 18389 = -a, 3*l = 12*a - 10*a - 36832. What is the tens digit of a?
0
What is the tens digit of (-6 - 21*(-2)/4)/((-1)/(-3602))?
0
Suppose -d + 9 = 2*f - 21, 0 = -4*f + 4*d + 48. Let a be 1*f/(-2)*(29 - 0). Let o = 331 + a. What is the units digit of o?
8
Suppose -5 = -2*n + 7. Suppose n*c - 60 = c. What is the tens digit of (-9)/5*(-80)/c?
1
Suppose 0 = 7*l - 11*l - 32. Let h(u) = -u**2 - 9*u - 3. Let x be h(l). What is the tens digit of 53 + -2 - (-5 + x)?
5
What is the hundreds digit of (-5)/170*-4 - (-1109736)/204?
4
Let p(c) = -72*c**3 - 17*c**2 + 15*c - 17. What is the hundreds digit of p(-5)?
4
Let m(n) = -203*n - 37 - 2 + 6 - 200*n. What is the tens digit of m(-2)?
7
Let m = 210 + -206. Suppose -8*s + 4188 = m*s. What is the units digit of s?
9
Let n be (9 + -11)*(-8911)/(-14). Let v = 1857 + n. What is the tens digit of v?
8
Suppose -p - 2*p = -5*g + 657, -p + 397 = 3*g. Suppose -2*h - 5*k + g + 215 = 0, -719 = -4*h - 5*k. What is the units digit of h?
6
Let g = -546 + 849. Let k = 994 - g. What is the hundreds digit of k?
6
Let z(w) = -2*w**2 + 104*w - 67. Let c(x) = -12*x**2 + 52*x - 2. Let n be c(3). What is the hundreds digit of z(n)?
4
Let a(f) = 3*f**2 - f - 1. Let y be a(-2). Suppose 46 = y*o + 7. Suppose t - 58 = -u + 185, o*u - 4*t - 757 = 0. What is the tens digit of u?
4
Let f(w) be the first derivative of w**4/6 - 3*w**3/2 - 23*w**2/2 + w + 4. Let m(j) be the first derivative of f(j). What is the tens digit of m(8)?
3
Suppose 4*q - 21 = 11. Suppose -q*i = -6*i - 2. What is the hundreds digit of -2*(9/(-6) + i)*107?
1
Suppose 0 = 3*m + 5*k - 29, -3*m + k = -8*m + 19. Suppose -5*h - 730 = -m*y, y - 520 = -y - 5*h. Suppose 3*c = 8*c - y. What is the units digit of c?
0
Let c(l) = 3*l**2 - 2*l + 7. Let t be c(5). Suppose -3*w = -b - 354, 26*w = 21*w + 3*b + 586. Let i = w - t. What is the units digit of i?
7
Suppose 2*p - 5*o - 116 = 0, -p + 6*p - 228 = -3*o. What is the tens digit of p?
4
Let r = 154134 + -84564. What is the units digit of r?
0
Let f be 0 + 0 + -1 + -3. Let b(s) = -2*s**2 - 3*s - 1. Let d(w) = -4*w**2 - 7*w - 1. Let r(g) = -10*b(g) + 4*d(g). What is the tens digit of r(f)?
6
Suppose -1623*h + 1646*h = 291571. What is the units digit of h?
7
Let q(l) = 51*l**3 - 4*l**2 + 6*l + 2. Let w be q(2). Let x = -125 + w. What is the units digit of x?
1
Suppose 0 = -3*j - 3*s + 6*s + 198, 2*j + 4*s - 114 = 0. What is the hundreds digit of 0 + 2/9 + 58009/j?
9
What is the units digit of (-36585 - -534)*((2 - 3) + 0)?
1
Let c be 2*2*(39 + -87). Let i = -72 - c. What is the units digit of i?
0
Suppose -k + 709 + 3387 = 0. What is the units digit of k?
6
Let w be (-4 + 4)/(-2) + 258. Suppose -23*k + w = -22*k. What is the units digit of k?
8
Suppose 2*w = 3*z - 2, 0*w + 4*w - 40 = -5*z. Suppose 3*x = -z*x - 784. Let t = 21 - x. What is the hundreds digit of t?
1
Suppose -f = -15352 - 5876 - 3243. What is the tens digit of f?
7
Suppose -14*o - 2*b - 3200 = -19*o, -3*b - 3200 = -5*o. What is the units digit of o?
0
Suppose -88 = -81*h + 73*h. Suppose 0 = -h*q - 180 + 840. What is the units digit of q?
0
Let x(f) = -8*f**3 - f**2 - f + 5. Let n be x(2). What is the hundreds digit of (-2 + 4 - 5)*n?
1
Let w = 662 + -691. Let l = 913 + w. What is the units digit of l?
4
Let m = -23 - -24. What is the tens digit of (m - 1) + (-14 - -451)?
3
Let k = -114 - -117. Suppose 1460 = k*t - 211. What is the units digit of t?
7
Let x = 41 + 56. Suppose j + 5*z - 313 - x = 0, -4*z - 1664 = -4*j. What is the hundreds digit of j?
4
Let r(m) = -13*m**2 - 3*m + 16. Let a be r(4). Let q = 326 - a. What is the tens digit of q?
3
Let h(y) = 9*y**2 + 4*y - 18. Let w(a) = -27*a**2 - 11*a + 49. Let p(n) = -11*h(n) - 4*w(n). Suppose -2*t + 2 + 4 = 0. What is the units digit of p(t)?
3
Let v = -40460 - -57596. What is the tens digit of v?
3
Let y(l) = 463*l**2 - 73*l - 586. What is the ten thousands digit of y(-6)?
1
Suppose 12*h - 13 = -1. Let o be (267*-1)/(h/2*-2). Suppose -m - 24 = -o. What is the tens digit of m?
4
Let y = 11757 + -8178. What is the hundreds digit of y?
5
Let k = 152 + -153. What is the units digit of k + 2154/27 - 54/(-243)?
9
Let r(l) = -942*l**2 - 2*l - 2. Let o be r(-1). Let h = -584 - o. What is the units digit of h?
8
Let h = 379 - 465. What is the units digit of (-1 + h)*(96/(-9) + 1)?
1
Let u(p) = p**2 - 19*p - 5. Let t be u(20). Suppose 0*n - o + t = 5*n, 23 = -n + 5*o. Suppose -2*h + n*g - 149 = -3*h, -g = -4. What is the units digit of h?
1
Let x(d) = 19*d**3 + 2*d - d - 78*d**3 + 2 - 2*d**2. Let b(l) = 4*l**3 + 56*l
|
{
"pile_set_name": "DM Mathematics"
}
|
o nanometers.
9716400
What is 84644.71 millilitres in litres?
84.64471
What is 0.9112381ug in nanograms?
911.2381
How many months are there in 5/4 of a decade?
150
What is 884104.5kg in grams?
884104500
How many litres are there in 454828.5ml?
454.8285
Convert 0.192211ug to grams.
0.000000192211
What is four thirds of a century in months?
1600
How many days are there in 2910.408 hours?
121.267
What is one tenth of a hour in seconds?
360
What is one quarter of a week in minutes?
2520
What is 333.2345 centimeters in nanometers?
3332345000
Convert 1.4993538 months to years.
0.12494615
What is 39558.6m in centimeters?
3955860
How many seconds are there in 7/8 of a hour?
3150
How many millilitres are there in 0.9848598l?
984.8598
What is 27/5 of a litre in millilitres?
5400
Convert 416.8949 decades to months.
50027.388
Convert 97.30737l to millilitres.
97307.37
What is 17/4 of a millisecond in microseconds?
4250
How many millilitres are there in 56.08337 litres?
56083.37
How many months are there in 5/6 of a year?
10
Convert 50.54266nm to meters.
0.00000005054266
What is 0.058467us in milliseconds?
0.000058467
What is 6.857368ml in litres?
0.006857368
How many decades are there in 9.140412 millennia?
914.0412
How many milligrams are there in 96.92296ug?
0.09692296
What is 141.4781ug in tonnes?
0.0000000001414781
Convert 8.595892 millennia to decades.
859.5892
Convert 4.9311 weeks to seconds.
2982329.28
What is five quarters of a gram in milligrams?
1250
How many hours are there in fifty-one quarters of a week?
2142
How many milliseconds are there in seventeen tenths of a second?
1700
What is 432056.4 millimeters in meters?
432.0564
What is fifty-one fifths of a millennium in centuries?
102
Convert 7.483496m to micrometers.
7483496
What is 0.845806m in kilometers?
0.000845806
Convert 0.1983233 milligrams to micrograms.
198.3233
Convert 80866.7 tonnes to nanograms.
80866700000000000000
Convert 261.756 kilograms to tonnes.
0.261756
How many years are there in 6.26776 millennia?
6267.76
What is 17.07959km in centimeters?
1707959
How many grams are there in 8.7665 milligrams?
0.0087665
What is 3006.6336 microseconds in days?
0.000000034799
How many nanometers are there in 188.9405 kilometers?
188940500000000
What is 0.0246899ug in milligrams?
0.0000246899
What is 3325.805 minutes in microseconds?
199548300000
What is 12/25 of a milligram in micrograms?
480
What is 0.551526 decades in centuries?
0.0551526
What is seven eighths of a microgram in nanograms?
875
What is 0.1885448 millilitres in litres?
0.0001885448
What is twenty-three thirds of a hour in seconds?
27600
How many millimeters are there in 54/5 of a centimeter?
108
What is one fifth of a litre in millilitres?
200
What is 29/5 of a century in months?
6960
What is 1/5 of a litre in millilitres?
200
How many meters are there in 32.43009mm?
0.03243009
How many millimeters are there in thirty-one fifths of a centimeter?
62
What is 1/5 of a litre in millilitres?
200
What is 833.509 centuries in millennia?
83.3509
What is 45.787248 minutes in days?
0.0317967
What is 37/5 of a centimeter in millimeters?
74
What is 22/15 of a decade in months?
176
How many seconds are there in three sixteenths of a day?
16200
What is 93/4 of a microgram in nanograms?
23250
What is 7384.83 milligrams in kilograms?
0.00738483
What is 255852.4 years in decades?
25585.24
What is 3/5 of a century in years?
60
What is 0.8565649 centuries in years?
85.65649
How many millilitres are there in 34.18251 litres?
34182.51
What is twenty-one halves of a millennium in decades?
1050
What is 1/4 of a year in months?
3
How many centimeters are there in 6052.578 kilometers?
605257800
What is 2/21 of a week in seconds?
57600
How many months are there in three fifths of a millennium?
7200
Convert 4.023164 decades to centuries.
0.4023164
What is 4.770434kg in nanograms?
4770434000000
Convert 5196.71um to kilometers.
0.00000519671
How many grams are there in 250133.9ug?
0.2501339
How many micrometers are there in fourty-four fifths of a millimeter?
8800
What is 57/2 of a millennium in centuries?
285
How many seconds are there in 12/25 of a hour?
1728
How many centuries are there in 69.27199 millennia?
692.7199
How many tonnes are there in 91.7784 milligrams?
0.0000000917784
How many days are there in 0.33186 weeks?
2.32302
How many micrometers are there in nineteen quarters of a millimeter?
4750
What is 20746.01 meters in centimeters?
2074601
How many nanograms are there in 1.08082 kilograms?
1080820000000
How many nanograms are there in 45/2 of a microgram?
22500
What is 69/2 of a kilogram in grams?
34500
Convert 37560.83um to nanometers.
37560830
How many millilitres are there in 9/10 of a litre?
900
What is 2.556023ml in litres?
0.002556023
What is twelve sevenths of a week in minutes?
17280
What is fourty-five eighths of a micrometer in nanometers?
5625
What is 70140.55ug in kilograms?
0.00007014055
Convert 50.2435 years to decades.
5.02435
What is 45323.11 decades in years?
453231.1
How many millilitres are there in seven halves of a litre?
3500
How many litres are there in 6036.87 millilitres?
6.03687
What is fifty-two fifths of a milligram in micrograms?
10400
What is 87/4 of a hour in seconds?
78300
What is 71.31229 decades in years?
713.1229
How many millilitres are there in 6/5 of a litre?
1200
What is 37.88745um in millimeters?
0.03788745
What is 27/4 of a litre in millilitres?
6750
How many tonnes are there in 10.84619 nanograms?
0.00000000000001084619
What is 7394.59 weeks in nanoseconds?
4472248032000000000
How many microseconds are there in 5.18432 weeks?
3135476736000
How many nanometers are there in 98.80425 meters?
98804250000
Convert 851.031 weeks to nanoseconds.
514703548800000000
How many months are there in 7/3 of a century?
2800
Convert 9469.498 millennia to centuries.
94694.98
How many millimeters are there in 358.0182 meters?
358018.2
How many centimeters are there in 393.2587 nanometers?
0.00003932587
What is 33/5 of a litre in millilitres?
6600
What is 9/16 of a centimeter in micrometers?
5625
How many centuries are there in 20.39844 months?
0.0169987
What is 1.185ug in kilograms?
0.000000001185
How many hours are there in 532744.56 nanoseconds?
0.0000001479846
How many months are there in 1/4 of a century?
300
Convert 5059.27 tonnes to nanograms.
5059270000000000000
How many seconds are there in sixty-seven quarters of a minute?
1005
What is thirty-two fifths of a centimeter in micrometers?
64000
How many seconds are there in 1/9 of a week?
67200
How many minutes are there in seven sixteenths of a week?
4410
What is 29.17797 micrometers in kilometers?
0.00000002917797
How many millilitres are there in one quarter of a litre?
250
How many milliseconds are there in 6319.315s?
6319315
How many kilometers are there in 968022.7nm?
0.0000009680227
What is 19554.38um in millimeters?
19.55438
Convert 470543.2ml to litres.
470.5432
Convert 60.5995ml to litres.
0.0605995
How many centimeters are there in five eighths of a kilometer?
62500
What is 1/4 of a centimeter in micrometers?
2500
How many grams are there in 11.05954mg?
0.01105954
What is 13/4 of a millisecond in microseconds?
3250
How many milliseconds are there in 21/5 of a second?
4200
How many litres are there in 548186.7 millilitres?
548.1867
What is 0.797165 millennia in years?
797.165
What is 44659.32l in millilitres?
44659320
What is 1/9 of a day in seconds?
9600
What is fourty-three quarters of a litre in millilitres?
10750
Convert 7.182215 litres to millilitres.
7182.215
Convert 5601.443kg to milligrams.
5601443000
What is 17/4 of a century in months?
5100
Convert 4.690401 minutes to milliseconds.
281424.06
How many micrometers are there in 3/10 of a millimeter?
300
How many seconds are there in 28/15 of a hour?
6720
Convert 5.528148 days to milliseconds.
477631987.2
What is three tenths of a meter in centimeters?
30
Convert 807.0104 centuries to years.
80701.04
How many months are there in ten thirds of a century?
4000
How many tonnes are there in 313.3457kg?
0.3133457
How many micrometers are there in eleven tenths of a millimeter?
1100
What is 0.4408053ug in grams?
0.0000004408053
What is twenty-five quarters of a centimeter in micrometers?
62500
How
|
{
"pile_set_name": "DM Mathematics"
}
|
69
What are the prime factors of 573250226?
2, 53, 5408021
What are the prime factors of 82859522?
2, 41429761
List the prime factors of 270094786.
2, 13, 61469
List the prime factors of 12620608.
2, 7, 11, 13, 197
List the prime factors of 282700975.
5, 11308039
List the prime factors of 3099291513.
3, 1033097171
What are the prime factors of 350081142?
2, 3, 1979, 29483
List the prime factors of 4459191.
3, 11, 163, 829
What are the prime factors of 305479453?
157, 1945729
What are the prime factors of 59812986?
2, 3, 743, 13417
What are the prime factors of 733523281?
733523281
What are the prime factors of 596265956?
2, 11, 13, 17, 3607
What are the prime factors of 2718055792?
2, 19, 8940973
List the prime factors of 102798234.
2, 3, 7, 11, 41, 67
What are the prime factors of 4323852170?
2, 5, 11, 59, 666233
What are the prime factors of 1084571261?
29, 1289621
List the prime factors of 187394496.
2, 3, 976013
List the prime factors of 197825455.
5, 39565091
What are the prime factors of 100830743?
13, 43, 61, 2957
List the prime factors of 297163155.
3, 5, 1447, 13691
What are the prime factors of 572734864?
2, 13, 2753533
List the prime factors of 96310158.
2, 3, 7, 563, 4073
What are the prime factors of 40097663?
31, 1293473
What are the prime factors of 33521434?
2, 19, 47, 137
What are the prime factors of 276145312?
2, 43, 101, 1987
List the prime factors of 172271052.
2, 3, 4785307
List the prime factors of 36095457.
3, 41, 293459
List the prime factors of 313032102.
2, 3, 52172017
What are the prime factors of 94688003?
103, 919301
What are the prime factors of 27647991?
3, 7, 29, 37, 409
What are the prime factors of 33328921?
33328921
List the prime factors of 151133101.
7, 179, 17231
List the prime factors of 53605904.
2, 11, 27689
What are the prime factors of 2924666?
2, 113, 12941
List the prime factors of 75139851.
3, 19, 277, 4759
What are the prime factors of 82200980?
2, 5, 4110049
List the prime factors of 70579668.
2, 3, 5881639
What are the prime factors of 177547833?
3, 23, 241, 3559
What are the prime factors of 3419926?
2, 1709963
What are the prime factors of 463832234?
2, 231916117
What are the prime factors of 241951042?
2, 53, 137, 16661
List the prime factors of 51212494.
2, 83, 308509
List the prime factors of 3077404714.
2, 1538702357
List the prime factors of 50223370.
2, 5, 1601, 3137
List the prime factors of 1535035617.
3, 23, 30517
List the prime factors of 3032993608.
2, 887, 427423
What are the prime factors of 198215855?
5, 39643171
List the prime factors of 377299186.
2, 11, 73, 234931
List the prime factors of 36343239.
3, 79, 89, 1723
List the prime factors of 2398651339.
7, 113, 3032429
What are the prime factors of 1016223708?
2, 3, 1031, 82139
What are the prime factors of 134885372?
2, 271, 124433
What are the prime factors of 1707977349?
3, 13, 71, 205607
List the prime factors of 212905484.
2, 11, 17, 284633
What are the prime factors of 44735844?
2, 3, 107, 34841
List the prime factors of 285173787.
3, 95057929
List the prime factors of 6078520251.
3, 151, 4472789
What are the prime factors of 128731977?
3, 11, 149, 2909
List the prime factors of 22164840.
2, 3, 5, 6841
What are the prime factors of 56411903?
56411903
List the prime factors of 791381629.
47, 1429, 11783
What are the prime factors of 466661754?
2, 3, 13, 41, 127, 383
What are the prime factors of 62516231?
23, 2718097
What are the prime factors of 3663333804?
2, 3, 13, 23482909
List the prime factors of 58965513.
3, 43, 457097
What are the prime factors of 1711246246?
2, 855623123
List the prime factors of 35882806.
2, 23, 780061
What are the prime factors of 72843024?
2, 3, 23, 65981
List the prime factors of 21633917.
21633917
List the prime factors of 141400236.
2, 3, 37, 167, 1907
List the prime factors of 34084844.
2, 37, 230303
What are the prime factors of 65219592?
2, 3, 919, 2957
List the prime factors of 1366402280.
2, 5, 29, 1177933
List the prime factors of 1516573421.
11, 127, 557, 1949
What are the prime factors of 205837756?
2, 51459439
List the prime factors of 8762769.
3, 17, 1123
What are the prime factors of 1869794472?
2, 3, 7, 13, 856133
List the prime factors of 211145254.
2, 1733, 60919
List the prime factors of 592683765.
3, 5, 39512251
What are the prime factors of 1050179652?
2, 3, 29171657
List the prime factors of 51782783.
13, 306407
List the prime factors of 2417909198.
2, 1208954599
List the prime factors of 542323368.
2, 3, 269, 28001
List the prime factors of 433747673.
17, 1500857
What are the prime factors of 474276963?
3, 158092321
List the prime factors of 104321055.
3, 5, 6954737
What are the prime factors of 1557333375?
3, 5, 13, 319453
What are the prime factors of 558793669?
7, 47, 1698461
List the prime factors of 237512115.
3, 5, 1759349
List the prime factors of 1231954056.
2, 3, 181, 31511
List the prime factors of 578136565.
5, 115627313
What are the prime factors of 37629941?
139, 270719
What are the prime factors of 3503357157?
3, 1167785719
What are the prime factors of 1333093884?
2, 3, 19, 5846903
What are the prime factors of 8733395?
5, 11, 97, 1637
List the prime factors of 376060188.
2, 3, 7, 4476907
List the prime factors of 3658620345.
3, 5, 243908023
What are the prime factors of 426052454?
2, 2557, 83311
List the prime factors of 409734496.
2, 2753, 4651
List the prime factors of 286540229.
157, 293, 6229
List the prime factors of 19265821.
181, 106441
What are the prime factors of 3110312525?
5, 67, 1856903
What are the prime factors of 185980765?
5, 17, 61, 35869
What are the prime factors of 961556?
2, 37, 73, 89
List the prime factors of 67382087.
769, 87623
What are the prime factors of 308006590?
2, 5, 30800659
What are the prime factors of 370658482?
2, 71, 241, 10831
List the prime factors of 445186773.
3, 47, 337, 347
What are the prime factors of 68436798?
2, 3, 17, 97, 6917
List the prime factors of 1873159278.
2, 3, 312193213
What are the prime factors of 1075352476?
2, 11, 17, 97, 14821
What are the prime factors of 57138930?
2, 3, 5, 719, 883
What are the prime factors of 253287661?
11, 23, 97, 10321
What are the prime factors of 1497940611?
3, 157, 191, 16651
What are the prime factors of 18625706?
2, 11, 251, 3373
What are the prime factors of 4436124821?
83, 53447287
List the prime factors of 273263926.
2, 13, 29, 362419
List the prime factors of 968351894.
2, 137, 149, 23719
What are the prime factors of 3401130564?
2, 3, 13, 41, 157, 1129
List the prime factors of 983711188.
2, 17, 14466341
What are the prime factors of 58704113?
13, 131, 34471
What are the prime factors of 685044097?
4649, 147353
List the prime factors of 1159075411.
13, 19, 67, 70039
List the prime factors of 374775008.
2, 137, 85487
What are the prime factors of 272350681?
523, 520747
What are the prime factors of 3304070721?
3, 7, 19, 53, 52081
List the prime factors of 108097698.
2, 3, 109, 165287
What are the prime factors of 15790995?
3, 5, 11, 19, 23, 73
What are the prime factors of 1383636375?
3, 5, 11, 17, 6577
List the prime factors of 269547240.
2, 3, 5, 17, 71, 1861
What are the prime factors of 2217701241?
3, 7, 1676267
List the prime factors of 887665871.
101, 8788771
What are the prime factors of 759181446?
2, 3, 42176747
List the prime factors of 329191304.
2, 13, 3165301
What are the prime factors of 101133623?
101, 1001323
What are the prime factors of 313813091?
113, 2777107
List the prime factors of 2959360308.
2, 3, 311, 264323
List the prime factors of 170939379.
3, 13, 4383061
What are the prime factors of 35786408?
2, 7, 639043
What are the prime factors of 2767106789?
2203, 1256063
What are the prime factors of 15969159?
3, 1031, 1721
List the prime factors of 1028480329.
173, 5944973
What are the prime factors of 33444929?
7, 37, 139, 929
List the prime factors of 27305121.
3, 9101707
List the prime factors of 244835029.
61, 137, 29297
What are the prime factors of 3084474725?
5, 19, 6493631
What are the prime factors of 69560765?
5, 13912153
What are the prime factors of 2969760669?
3, 73, 13560551
List the prime factors of 171330065.
5, 79, 433747
List the prime factors of 275514252.
2, 3, 13, 1766117
List the prime factors of 5900273113.
7, 17,
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(2299)*2 - sqrt(2299) - sqrt(2299))*-1 + -1*(sqrt(2299) + -1 + sqrt(2299)))**2 + 4).
-9201 + 44*sqrt(19)
Simplify 1 + (-5*(4 + (-5*-1*sqrt(176) + (sqrt(176) + 4)*-5)*5))**2.
230401
Simplify (-1*sqrt(525)*2*3)/((-6*sqrt(42)*-1)/(sqrt(384) - 2*sqrt(384))).
40*sqrt(3)
Simplify (-5*sqrt(405)*-3 - (1*sqrt(405) + -1) - 1*-2*sqrt(405)*5*-5)**2.
-648*sqrt(5) + 524881
Simplify 2*(1*(sqrt(190) - (sqrt(190) - (sqrt(190) - sqrt(190)*1)))/sqrt(10) - (1 + (sqrt(171)*-4)**2))*3.
-16422
Simplify (3 + 4 + sqrt(833)*3 + 3 + (-4 + sqrt(833) + (sqrt(833) - -3*sqrt(833)*-5))*5)**2 + -3.
8680*sqrt(17) + 3202149
Simplify (-4*(1 + sqrt(396) + -4*(sqrt(396) + 2) + (sqrt(396) - (sqrt(396)*-2 + -1)) + (3 + sqrt(396) + -1 + sqrt(396) - sqrt(396))))**2.
-768*sqrt(11) + 6592
Simplify (5*(-5 + (sqrt(44)/(6*sqrt(4)*1) + -5)*4)*-5)**2.
-62500*sqrt(11)/3 + 3543125/9
Simplify (-1*sqrt(162))**2 - (-1 + sqrt(72))**2 - (sqrt(18)/(sqrt(18)/sqrt(2)) - ((sqrt(20)*4)/sqrt(10))**2).
11*sqrt(2) + 121
Simplify (6*(0 + sqrt(242) + sqrt(242) + 1)*-4 - ((-1 + sqrt(242) + 2 - -2*sqrt(242)*-2) + 5)**2) + 1.
-2237 - 132*sqrt(2)
Simplify (0 + sqrt(80)/(-1*sqrt(64) - sqrt(4)) + 4 + -3 + sqrt(720) + (sqrt(720) + -1)*-5)**2.
-2904*sqrt(5)/5 + 58744/5
Simplify -5 + (2 + -2 + sqrt(75) + -5 + -5 + -1*(sqrt(75) + 1))**2.
116
Simplify (sqrt(147)*2 + -4)**2 + 1 + 3*(sqrt(300) + 3) + -2.
-82*sqrt(3) + 612
Simplify 5*-4*((sqrt(68) + -2 + 5)**2 + -5 + (sqrt(68)*2 - sqrt(68)) - (sqrt(68) + -2 + sqrt(68)*-3)*6).
-760*sqrt(17) - 1680
Simplify -3 + ((sqrt(1573) - (sqrt(1573) + 2 + sqrt(1573)))*3)**2 + -1 - (-2 + ((sqrt(208) + 0)**2 + 1 - (1 + sqrt(208) + 0))).
400*sqrt(13) + 13983
Simplify (-4*(sqrt(152) - -4*(sqrt(152) - (sqrt(152)*3 - sqrt(152) - sqrt(152))))*-3)/(5*(sqrt(800) - sqrt(800)*-2)*3).
2*sqrt(19)/75
Simplify ((sqrt(80)*-1 - sqrt(80))*3 + (sqrt(80)*-2*6 - sqrt(80)) + 1 + -1 + sqrt(80) + -4 + 3 + 3)**2.
-288*sqrt(5) + 25924
Simplify ((2*sqrt(1584) + -4 - (sqrt(1584) + -1)*-4) + -2 + 0)**2.
-1440*sqrt(11) + 57124
Simplify ((sqrt(112) + (sqrt(112) - 2*sqrt(112))*2)/(-5*sqrt(8)*-2))/((1*sqrt(56) + sqrt(14))/(-2*sqrt(288))).
4*sqrt(2)/5
Simplify 0 + (-6*(3*sqrt(190)*1 + sqrt(190) + sqrt(190)))/(sqrt(60)/(-1*sqrt(216))) + 1.
1 + 180*sqrt(19)
Simplify 5 + 5 + (6*6*(sqrt(1300) + 1))**2 + (sqrt(1300)*2)**2*6*-1.
25920*sqrt(13) + 1654906
Simplify ((sqrt(204) - sqrt(204)*-6 - sqrt(204)) + sqrt(51) + (sqrt(204) - 1*sqrt(204)))/(1*sqrt(24)/sqrt(8) + (sqrt(12) - sqrt(192))).
-13*sqrt(17)/5
Simplify (sqrt(12) + sqrt(12) + sqrt(768)*-1)/(sqrt(54)/(sqrt(18)/sqrt(2))) + ((-1 + sqrt(162) - sqrt(162))**2 - sqrt(12)/sqrt(6)*4) + -2.
-10*sqrt(2) - 1
Simplify (-5 + -6*(1 + sqrt(17)) + sqrt(136)/(-2*sqrt(8)) + -5 + -4*sqrt(17) + (-1 + sqrt(1377) - sqrt(17)) + 4)**2.
65*sqrt(17) + 1101/4
Simplify 1 + (5*(-2 + 5 + (sqrt(891) - (-2*sqrt(891) + -3)) + 0))**2.
8100*sqrt(11) + 201376
Simplify (5 + 2 + (sqrt(300) - (sqrt(300) - -1*sqrt(300))) + 2 + ((sqrt(324)*-3 + sqrt(324))/sqrt(9))/((sqrt(108) + sqrt(12))*-3))**2*6.
-1062*sqrt(3) + 4453/2
Simplify -1*(-2*((-1*sqrt(684))**2*6 + -4 + sqrt(684)*2) - ((sqrt(684) + -2 + 0)**2 - (-4*(sqrt(684) + 1) + sqrt(684)))).
18*sqrt(19) + 8892
Simplify (sqrt(76) + 1*sqrt(76)*4 - -6*-3*sqrt(76))/(sqrt(324)*1*4 + sqrt(324) - sqrt(324) - (sqrt(324)*-2*-6 + sqrt(324))).
13*sqrt(19)/81
Simplify ((4*(sqrt(78)*-2 + sqrt(78) - sqrt(78)) - sqrt(78)) + sqrt(78) - 1*sqrt(78)*1)/(-1*1*sqrt(216)*3).
sqrt(13)/2
Simplify -1 + ((sqrt(175) + -2*(1*sqrt(175) + sqrt(175) - sqrt(175)) - (-1 + -2*sqrt(175))) + -6*(-1 + sqrt(175))*1 + 3)**2 + -1.
-500*sqrt(7) + 4473
Simplify 6*(4 + (2 + sqrt(44)/sqrt(4))**2) + -6*-5*(sqrt(1584) - (2*sqrt(1584) + sqrt(1584) + sqrt(1584))).
-1056*sqrt(11) + 114
Simplify ((sqrt(117)*-1*-5 - (2 + sqrt(117) + sqrt(117) + 3)) + -5 + sqrt(117) + -1 + -1)**2*-6 + -3.
-12099 + 1728*sqrt(13)
Simplify (4*(-5 + 0 + (3*sqrt(425) + -4)*-6*-3 + 3))**2.
-639360*sqrt(17) + 19916416
Simplify ((5 + (sqrt(153) - 6*(3 + sqrt(153))) - (2*sqrt(153)*4 + sqrt(153))*1) + -1)**2.
1176*sqrt(17) + 30184
Simplify (-5 + 6*(sqrt(891)*-2*-1*5 - (-5 + sqrt(891)*-1 - (sqrt(891) + 5*(0 + sqrt(891))))))**2.
45900*sqrt(11) + 9270589
Simplify (sqrt(360) + 1*sqrt(360))/(sqrt(6)/sqrt(3)*-2 - sqrt(2)) - (sqrt(5) + (3*sqrt(5))**2 + 2 + -4*(sqrt(30)/sqrt(6))**2).
-27 - 5*sqrt(5)
Simplify ((sqrt(105) - (sqrt(105) - (sqrt(105) - -1*sqrt(105))*-6))/(sqrt(28)*1))/((1*2*sqrt(27))/((2*sqrt(36) + sqrt(36))/sqrt(4))).
-9*sqrt(5)
Simplify (((3*(5 + -3*sqrt(539)) + -1)*2 + -2)*6)**2.
-235872*sqrt(11) + 6311232
Simplify (-4 + 5 + 2*sqrt(448)*-2 + -2 + sqrt(448) + 0)*-5.
5 + 120*sqrt(7)
Simplify ((sqrt(228)*-2*-2)/(sqrt(12) - sqrt(300)*-6))**2 + (sqrt(19) + sqrt(190)/sqrt(10)*-1 - (sqrt(19) - sqrt(114)/sqrt(216)))**2.
467419/34596
Simplify (sqrt(176)*-2 + -1 - sqrt(176) - (sqrt(176) - 2*3*sqrt(176)))*4*1*-1.
-32*sqrt(11) + 4
Simplify (sqrt(102)*2*3)/(sqrt(72)/sqrt(300)) - (sqrt(68) + sqrt(68) + 1*sqrt(68)*-4)/sqrt(900).
452*sqrt(17)/15
Simplify 5 + (-2 + sqrt(208)*2 + 2*-2*sqrt(208) - (-3 + (sqrt(208) - ((sqrt(208) - (-4 + sqrt(208))) + -1))))**2.
-96*sqrt(13) + 1893
Simplify (sqrt(1216) + 0)*1*-2 + ((sqrt(19) - (sqrt(19)*-4)**2) + 5 - sqrt(76)/(sqrt(4)*-4)).
-299 - 59*sqrt(19)/4
Simplify 3*(sqrt(700)*-2 + 0 + -1 + 1*sqrt(700)) - (5 + ((-3 + 1 + sqrt(700) - sqrt(700)) + sqrt(700) - (sqrt(700) - (sqrt(700) + 1 - sqrt(700)))*2)**2).
-708 - 30*sqrt(7)
Simplify (-1 + (5 + (sqrt(6912) - (sqrt(6912)*1 + sqrt(6912))))*-1*5 + 4)**2.
-10560*sqrt(3) + 173284
Simplify 4 + 6*(-2 + sqrt(2736)) + 2 - (sqrt(2736) + sqrt(2736)*2*-1 - (sqrt(2736)*2 + -1))**2*1.
-24631 + 144*sqrt(19)
Simplify -1 + (4*(1*(2*sqrt(684) - sqrt(684)) + 4) + (-5*((sqrt(684) - 1*sqrt(684)) + sqrt(684)) + 2)*-3)**2.
2280*sqrt(19) + 247023
Simplify (-1 + -3*sqrt(3087) - (sqrt(56)/sqrt(8)*-3 + sqrt(7) - ((((sqrt(77)*-3 - sqrt(77)) + sqrt(77))/sqrt(11) - sqrt(7)) + sqrt(7)))) + -4.
-64*sqrt(7) - 5
Simplify -5 + -6*(-5*(-2 + (sqrt(117) - 1*sqrt(117))*5*5*-1))**2.
-605
Simplify (5*-6*(0 + sqrt(99)*-1)**2*1 + 5)*-6.
17790
Simplify (sqrt(119) + -5*sqrt(119)*-1 - (2*sqrt(119)*-5 - sqrt(119) - sqrt(119)))/((sqrt(700) + -4*(-1*sqrt(700) - sqrt(700)) + sqrt(700))*4).
9*sqrt(17)/200
Simplify (-2*1*sqrt(50)*-5*3)/(6*(sqrt(10) + sqrt(10)*1*5 - -4*(-1*sqrt(10) - sqrt(10)))).
-5*sqrt(5)/2
Simplify (4*sqrt(2736)*1 + sqrt(2736)*-1*2 - -3*sqrt(152)/(-6*sqrt(32)/sqrt(4)))**2 + 1 + 4.
41991/4
Simplify ((sqrt(130) - (sqrt(130) + (sqrt(130) - sqrt(130)*-3)*3) - 3*sqrt(130)*-3)/(sqrt(90)*-3 + (sqrt(90)/(-3*sqrt(9)) - sqrt(10) - sqrt(10)))*-4)**2.
4212/289
Simplify sqrt(20)/((1*sqrt(8) + sqrt(8))/sqrt(2))*5 + (sqrt(605) + 0 + 5 - (sqrt(605) + 1)*-5).
10 + 137*sqrt(5)/2
Simplify (sqrt(48) + sqrt(336)/(sqrt(7)*-1) - 6*sqrt(48)/sqrt(4))**2 - (-1 + -1 + sqrt(363) + -2 + 2 + sqrt(363)*-1)**2.
428
Simplify -6*(-5 + (2*sqrt(17)*-4*3 - 5*sqrt(153)/(sqrt(18)/sqrt(2)))).
30 + 174*sqrt(17)
Simplify -4 + (-2 + (sqrt(320) + -6*(sqrt(320) + sqrt(320)*1) - sqrt(320))*-4)**2 + 1*(((1*sqrt(20))**2 - (sqrt(20)*2)**2) + -1).
-1536*sqrt(5) + 737219
Simplify ((sqrt(120) + sqrt(120) + sqrt(120)*1*-5)/(sqrt(24)/(sqrt(3) + sqrt(12))))/(-1*sqrt(108) + sqrt(108) + (sqrt(243)*4 - sqrt(243))).
-sqrt(5)/3
Simplify (sqrt(2057)*-4*2 + -2)**2 - (-2 + ((sqrt(68)/sqrt(2) - sqrt(34))/sqrt(2) - (sqrt(17) + sqrt(68)*-2))).
349*sqrt(17) + 131654
Simplify (1*-3*1*sqrt(85))/((sqrt(35) + (sqrt(245)*3)/sqrt(7))/sqrt(7)) + 4.
-3*sqrt(17)/4 + 4
Simplify (6*(5 + 3*((-1*(sqrt(228) + sqrt(228) + -2*sqrt(228)))/sqrt(12) + (sqrt(38)/sqrt(2) + -4 - (4 + (sqrt(38)/sqrt(2) - sqrt(19)))))))**2.
-4104*sqrt(19) + 19152
Simplify ((sqrt(1188)*-1 + (sqrt(33) - 3*2*sqrt(33)))/(sqrt(396)*-1 + sqrt(396) + sqrt(11) + sqrt(396))*4)**2.
5808/49
Simplify ((-1*sqrt(108))/sqrt(3) - -2*sqrt(1296))/(sqrt(108)*1 - (1*(sqrt(12) - -2*sqrt(12)) - sqrt(12)))*4.
44*sqrt(3)
Simplify 3 + (-2 + 2*(sqrt(208) + (sqrt(208) - (1*sqrt(208) + -2)) + (sqrt(208) - (-1 + -1 + sqrt(208)))**2))*6.
63 + 48*sqrt(13)
Simplify -2 + (-2 + (-3 + sqrt(539) + 4 - (1 + 1*sqrt(539))) + 4)**2 + 1.
3
Simplify ((sqrt(40) + sqrt(40)*1 - sqrt(40))/sqrt(2))/((sqrt(36)*-1)/sqrt(9)) - (-3 + -1 + sqrt(55)/(-3*sqrt(11))).
-2*sqrt(5)/3 + 4
Simplify 3 + (((sqrt(171) - sqrt(171)*-2*3) + 3)*-3*1)**2.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 107 - 3*f**2 + 189*f**4 - j*f**2 wrt f.
756*f**3
Let w(o) be the third derivative of 2*o**7/3 - o**6/120 + 19*o**4/8 + 79*o**3/6 + 12990*o**2. Find the second derivative of w(g) wrt g.
1680*g**2 - 6*g
Let l(x) be the first derivative of -908*x**3/3 - 427*x - 920. What is the first derivative of l(t) wrt t?
-1816*t
Suppose -4*n = -0*l + l - 8, 0 = n - 5*l - 23. What is the second derivative of h**4 + 54*h**2 + 131*h**n - 2*h**4 + h - 28 - 131*h**3 wrt h?
-12*h**2 + 108
Let x(i) = -1265*i**3 + 2*i**2 - 3*i - 5. Let z(j) = -1270*j**3 + 3*j**2 - 4*j - 2. Let p(d) = -3*x(d) + 2*z(d). What is the second derivative of p(b) wrt b?
7530*b
Suppose -2*v + 6 = -2. Let c be 3024/176 - v/22. Find the second derivative of 31*h - 10*h - 16*h**2 - c*h wrt h.
-32
Let m = 868 + -866. What is the third derivative of 135*a**m - 936 + 1873 + 87*a**3 - 936 wrt a?
522
Let f be ((-1386)/4)/(-9) - (-5)/(-10). Differentiate f - 18 + 54*m + 0 + 0 wrt m.
54
Let w = -19727 - -19731. Let y(t) be the second derivative of 32*t + 0 + 16/3*t**3 + 0*t**2 - 13/6*t**w. Find the second derivative of y(l) wrt l.
-52
Suppose 5*g = -5*d - 11 - 14, 0 = -5*d + g - 7. Let i be (455/10)/((-1)/d). Differentiate 47*j + 52*j - 31 - i*j with respect to j.
8
Let a be ((-8)/20)/(7/(-35)). What is the first derivative of 397*c**4 - 395*c**4 - 2 + 6*c**a + 3 - 4*c**2 wrt c?
8*c**3 + 4*c
Let u(t) = -t**2 + 13*t - 14. Let i be u(6). Let b = 35 - i. Find the first derivative of 19*a**4 - 40*a**4 - 33 + b*a**4 wrt a.
-56*a**3
Let a(k) be the third derivative of 0*k**6 - 2 - 31/105*k**7 + 0*k**3 + 0*k**4 - 4*k**2 + 2/5*k**5 + 0*k. Find the third derivative of a(z) wrt z.
-1488*z
Differentiate -185*o**4 + 183*o**4 + 8120 - 141*o**4 with respect to o.
-572*o**3
Let o(l) be the first derivative of 151 + 0*l**2 - 107/3*l**3 - 40*l. Differentiate o(v) wrt v.
-214*v
Let c = -246 - -252. What is the third derivative of -149*p**3 - 9*p**2 - 2*p**2 - 19*p**6 - p**2 - 2*p + 18*p**c wrt p?
-120*p**3 - 894
Let t(p) = -p**2 - 3*p - 3. Let k(g) = -11*g**2 + 259*g - 431. Let v(w) = k(w) - 4*t(w). Differentiate v(b) with respect to b.
-14*b + 271
Find the second derivative of 2572*v**2 + 2391*v**2 - 3310*v + 652*v + 210*v**2 wrt v.
10346
Let z(m) = 891*m + 1665. Let r(h) = 889*h + 1618. Let u(s) = -3*r(s) + 4*z(s). Find the first derivative of u(p) wrt p.
897
What is the second derivative of 6*h**2 - 59*h**5 + 171*h**5 + 1263*h - 78*h**5 + 2*h**3 + 1451*h wrt h?
680*h**3 + 12*h + 12
What is the first derivative of 2039*h**4 - 3292 - 2*h**2 + 1233*h**4 + 2*h**2 + 0*h**2 wrt h?
13088*h**3
Let u = 740 - 388. Find the first derivative of u - 2*s - 3*s**2 - 4*s - 318 wrt s.
-6*s - 6
Let z(t) = 8*t - 308. Let b be z(39). Let m = -4 - -8. Find the second derivative of 7*c**4 - 5*c**4 + 18*c + 14*c**b + 2*c**m wrt c.
216*c**2
Let n be (10 - 112/10)/(3/(-10)). What is the second derivative of -9*a**2 + 166*a**4 + 171*a**4 - 332*a**n + 28*a wrt a?
60*a**2 - 18
Let c(b) = 2*b**3 + 3*b**2. Let f(q) = 2208*q**3 - 83*q**2 - 3*q. Let d(j) = -6*c(j) + f(j). What is the third derivative of d(g) wrt g?
13176
Suppose 3*i - 29 = t, -1 = i + 3*t - 14. Suppose -26 = -33*m + 73. Differentiate 8 - 29*c**3 - 3 - i*c**m + 20*c**3 with respect to c.
-57*c**2
What is the second derivative of 12743*x - 5*x**3 + 95*x**2 - 10324*x + 12*x**2 wrt x?
-30*x + 214
What is the third derivative of 1273*z**2 + 468*z**4 - 8668*z**4 - 555*z**2 + 1274*z**2 wrt z?
-196800*z
Suppose -7 = -n - 5. Let o(y) = y**2 - 15*y - 27. Let u be o(17). Find the third derivative of -4*a**6 + 7*a - 9*a**6 - u*a - 10*a**n wrt a.
-1560*a**3
Let x(f) = 34*f**4 - 22*f**3 - 4*f**2 - 742*f - 10. Let n(p) = 2*p**4 - p**2 - 2*p - 2. Let c(h) = -4*n(h) + x(h). Find the second derivative of c(q) wrt q.
312*q**2 - 132*q
What is the first derivative of -1133*f**2 + 2308 - 13*f**3 + 5*f**3 + 1125*f**2 wrt f?
-24*f**2 - 16*f
Let u = -20 + 60. Suppose 9*o = u - 4. What is the second derivative of -5*z**4 + 53*z**4 - 8*z - 13*z**o wrt z?
420*z**2
Let r(k) = 6529*k**3 + 3*k**2 - 14*k - 5. Let p(x) = -3265*x**3 - 3*x**2 + 7*x + 3. Let h(u) = -5*p(u) - 3*r(u). Find the third derivative of h(m) wrt m.
-19572
Let r(a) be the first derivative of 89*a + 8*a**5 - a**2 - 37*a**5 + 82 - 10*a**5 + 135 - 4*a**5. What is the second derivative of r(k) wrt k?
-2580*k**2
Let m(o) = 1263*o**4 + 5*o**3 - 559*o + 5. Let r(l) = -629*l**4 - 2*l**3 + 280*l - 2. Let v(b) = -4*m(b) - 10*r(b). What is the second derivative of v(f) wrt f?
14856*f**2
Suppose 0 = y - 8 + 4, -3*y = -u - 9. Suppose 2*g + x = 5*x - 10, -u*g = -3*x. What is the second derivative of 23*n**5 + 25*n**g + 16*n - 17*n**5 wrt n?
620*n**3
Suppose 1655 = 5*x + 5*j, -9*x - 2*j = -13*x + 1294. Differentiate 2 + x*i**3 - 326*i**3 - 24 + i**4 - 98*i**2 with respect to i.
4*i**3 - 196*i
What is the third derivative of -x**2 - 38*x**3 - 21*x + 38*x**3 - 126 + 19*x + 1207*x**4 + 6*x**2 wrt x?
28968*x
What is the derivative of 3897*j**2 + 1238 + 1066 + 806 - 892*j**2 wrt j?
6010*j
Find the second derivative of -1120*n - 4*n**2 + 518*n**3 + 4*n**2 - 3456*n**3 + 6717*n wrt n.
-17628*n
Let g(w) = -108*w - 61. Let h(m) be the second derivative of 54*m**3 + 185*m**2/2 - 110*m. Let a(d) = 8*g(d) + 3*h(d). Differentiate a(l) with respect to l.
108
What is the third derivative of 240*o**2 - 193*o**2 - 235*o**6 + 951*o**6 + 2 - 683*o**2 wrt o?
85920*o**3
Differentiate -903*o + 1561 + 581*o - 512*o with respect to o.
-834
Suppose 4*k - 3*o + 3 = 0, 3*k = -0*o - 4*o + 29. Find the first derivative of 10*p - 24*p + 2*p**2 + 81 - k*p wrt p.
4*p - 17
Let c be -16*(-1 - 0/(-2)). What is the second derivative of -22*b + 26*b - 44*b**5 - c*b**5 - 8 wrt b?
-1200*b**3
Let k(d) be the second derivative of 0 - 27/7*d**7 + 0*d**6 - 5/3*d**4 + 0*d**3 + 0*d**2 + 0*d**5 + 20*d. What is the third derivative of k(m) wrt m?
-9720*m**2
Suppose 6*d = 2*d - 244. Let z = d + 104. What is the derivative of -54*p + 28 + z*p + 43*p wrt p?
32
Let q(u) = 3*u**3 - 5*u**2 + 549*u - 3667. Let b(p) = -3*p**3 + 6*p**2 - 550*p + 3663. Let o(x) = -5*b(x) - 6*q(x). Differentiate o(w) with respect to w.
-9*w**2 - 544
Suppose -4*s - 2*f + 42 = 0, 0*f = -5*s - 3*f + 53. Find the first derivative of s*i**4 - 231 + 60*i**4 + 35*i**4 wrt i.
420*i**3
What is the derivative of 371 - 901 - 823 - 689 + 31 - 1714*v wrt v?
-1714
Find the third derivative of -2384*w + 38*w**2 + 2387*w - 9*w**4 + w**3 - 24*w**3 wrt w.
-216*w - 138
Let n be (-6)/1*24/(-48). Find the third derivative of -282*f**2 + 284*f**2 + 21 + 4 - 44*f**n wrt f.
-264
Differentiate -2474*z + 142938 - 238*z - 146387 with respect to z.
-2712
Let h be 0*((-1)/(-2))/1. Suppose 0 = a - 8 - h. What is the first derivative of 0 + 50*r + 1 - 10*r - a wrt r?
40
Let s(q) be the first derivative of q**7/70 + q**5/30 - 5*q**3/2 - 35*q**2 - 33. Let y(m) be the second derivative of s(m). Differentiate y(r) wrt r.
12*r**3 + 4*r
Let o(t) be the first derivative of -961*t**3/3 + 46*t**2 - 3*t + 450. What is the second derivative of o(l) wrt l?
-1922
Let q(s) be the third derivative of -664*s**7/105 - 391*s**5/20 + 1312*s**2. What is the third derivative of q(h) wrt h?
-31872*h
Let n = 104 + -101. Suppose 3*l = n, 4*h = -4*l - 4 + 60. Find the first derivative of 9*r - h*r - 13*r + 18 + 7 wrt r.
-17
What is the second derivative of -1467*m**2 - 2851*m - 1693*m + 557*m**2 - 1823*m**2 wrt m?
-5466
Differentiate 851*q - 659*q + 2*q**2 - 1522 + 4054 - 5*q**2 + 4227 with respect to q.
-6*q + 192
Differentiate 628*i + 47 + 778*i + 0 + 78 with respect to i.
1406
Let w be (39/65 + (-4)/(-10))*2. Let g(x) = -52*x + 66. Let v(q) = -52*q + 65. Let k(m) = w*g(m) - 3*v(m). What is the derivative of k(d) wrt d?
52
Let j(v) be the first derivative of 578*v**2 - 1623*v + 3101. Differentiate j(s) wrt s.
1156
Let q(k) = 2*k**2 - 7*k + 77. Let d be q(7). What is the second derivative of 6*c**5 - 124*c - d*c - 2*c**3 + 245*c + 10 wrt c?
120*c**3 - 12*c
Suppose 43*z - 834613 = 559146. Find the third derivative of -199*c**4 + 32402*c + 4*c**2 + 4*c**2 - z*c wrt c.
-4776*c
Suppose -5*l = -5*n - 230, -4*l + 3*l + 3*n = -46. What is the derivative of -35 - 2*o**2 + 3*o**3 + l + 3*o**2 - 20 wrt o?
9*o**2 + 2*o
Let o(k) be the second derivative of 2999*k**4/6 + 166*k**3 - 3*k**
|
{
"pile_set_name": "DM Mathematics"
}
|
d 1 l?
2/5
What is prob of picking 1 n, 1 s, and 1 k when three letters picked without replacement from nsnssksnksnnknssk?
21/85
What is prob of picking 2 x and 1 s when three letters picked without replacement from ioioixxxoxs?
2/55
What is prob of picking 2 k, 1 v, and 1 l when four letters picked without replacement from {o: 4, l: 2, k: 8, v: 3}?
6/85
Four letters picked without replacement from {a: 2, d: 5, g: 2, f: 2, n: 2}. Give prob of picking 2 g, 1 d, and 1 a.
2/143
Two letters picked without replacement from {r: 15, j: 3, q: 2}. What is prob of picking 1 q and 1 r?
3/19
What is prob of picking 2 d when two letters picked without replacement from {d: 4, g: 5, o: 6, r: 1}?
1/20
Three letters picked without replacement from xjxjhxjjhxfxfffxxxx. Give prob of picking 3 f.
4/969
Calculate prob of picking 2 e when two letters picked without replacement from {e: 9}.
1
Three letters picked without replacement from mygmymgmgmyym. Give prob of picking 1 g and 2 m.
45/286
Three letters picked without replacement from ebbbqteubbub. Give prob of picking 1 u, 1 q, and 1 b.
3/55
Three letters picked without replacement from {d: 1, p: 1, e: 2, c: 6, r: 2}. Give prob of picking 2 c and 1 p.
3/44
Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {l: 8, y: 1, n: 7, q: 2}.
16/153
What is prob of picking 1 a and 1 s when two letters picked without replacement from {a: 3, v: 3, c: 1, s: 9, e: 2}?
3/17
Two letters picked without replacement from {f: 5, z: 7}. Give prob of picking 1 f and 1 z.
35/66
Three letters picked without replacement from sppzraprrrr. What is prob of picking 1 s and 2 r?
2/33
Calculate prob of picking 2 r and 1 u when three letters picked without replacement from zugzzrzrrzrzz.
3/143
Calculate prob of picking 2 b, 1 m, and 1 o when four letters picked without replacement from mmmywmbmmmbmmoom.
1/91
Calculate prob of picking 1 n and 1 x when two letters picked without replacement from xmmcxmmcxomxbmcmnbcm.
2/95
Calculate prob of picking 1 m and 2 q when three letters picked without replacement from msqmq.
1/5
What is prob of picking 2 q, 1 x, and 1 b when four letters picked without replacement from {r: 4, x: 3, q: 2, v: 2, j: 2, b: 3}?
9/1820
What is prob of picking 3 x and 1 w when four letters picked without replacement from {x: 11, u: 4, j: 1, a: 1, w: 2}?
55/646
Calculate prob of picking 2 u, 1 i, and 1 w when four letters picked without replacement from {u: 3, k: 1, i: 4, c: 2, w: 2}.
8/165
Calculate prob of picking 1 e and 2 p when three letters picked without replacement from dadbbbdbbpeppapp.
1/56
Calculate prob of picking 1 o and 2 s when three letters picked without replacement from {o: 1, s: 7}.
3/8
Two letters picked without replacement from lvloommvvvl. Give prob of picking 1 l and 1 v.
12/55
Two letters picked without replacement from {n: 2, j: 1, r: 2, s: 1, v: 2}. What is prob of picking 1 j and 1 s?
1/28
What is prob of picking 2 s and 1 q when three letters picked without replacement from {v: 5, q: 2, s: 6}?
15/143
Two letters picked without replacement from {t: 6, g: 1, j: 8, u: 3}. Give prob of picking 2 j.
28/153
Three letters picked without replacement from cpdppppccd. Give prob of picking 1 p and 2 c.
1/8
Two letters picked without replacement from {p: 4}. Give prob of picking 2 p.
1
Calculate prob of picking 1 h, 1 z, and 2 l when four letters picked without replacement from uhlztulx.
1/70
Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {a: 2, b: 1, d: 6, z: 6, x: 2}.
3/34
What is prob of picking 3 r and 1 d when four letters picked without replacement from {f: 3, d: 1, r: 4}?
2/35
Four letters picked without replacement from kkkkkkskkkkkkkk. What is prob of picking 4 k?
11/15
Three letters picked without replacement from {h: 2, c: 1, y: 1}. What is prob of picking 1 y and 2 h?
1/4
Four letters picked without replacement from ooooooooxnxooonoooon. What is prob of picking 2 x, 1 n, and 1 o?
3/323
What is prob of picking 3 k when three letters picked without replacement from {k: 9, v: 10}?
28/323
What is prob of picking 2 g and 1 w when three letters picked without replacement from mrwgg?
1/10
Two letters picked without replacement from {g: 2, d: 1, l: 5, x: 1, v: 1, m: 3}. Give prob of picking 2 m.
1/26
Two letters picked without replacement from kirkrilikkjllrk. What is prob of picking 1 k and 1 l?
1/7
Two letters picked without replacement from {i: 4, m: 2, v: 1, r: 2, k: 1}. Give prob of picking 1 m and 1 v.
2/45
Four letters picked without replacement from {d: 1, n: 4, w: 3, s: 3}. Give prob of picking 1 n and 3 w.
2/165
Four letters picked without replacement from {r: 4, e: 1, i: 5, m: 1, k: 1}. Give prob of picking 4 r.
1/495
Four letters picked without replacement from {q: 8, a: 5}. What is prob of picking 3 a and 1 q?
16/143
Calculate prob of picking 1 n and 1 q when two letters picked without replacement from vvdbbbnbbvkq.
1/66
What is prob of picking 1 i, 2 o, and 1 l when four letters picked without replacement from gloooloogoiiolg?
6/65
Calculate prob of picking 2 e when two letters picked without replacement from {i: 5, e: 5, a: 8, w: 1}.
10/171
Three letters picked without replacement from cbmeece. What is prob of picking 2 c and 1 b?
1/35
Calculate prob of picking 2 f when two letters picked without replacement from tftfffffftf.
28/55
What is prob of picking 2 v when two letters picked without replacement from ddvcddvdcc?
1/45
Three letters picked without replacement from nnskkosf. Give prob of picking 1 k, 1 o, and 1 s.
1/14
Two letters picked without replacement from llxxllxxlxlllxlllll. Give prob of picking 2 x.
5/57
Two letters picked without replacement from ixxxixiiiiixxxinixi. What is prob of picking 1 x and 1 n?
8/171
What is prob of picking 1 e and 2 u when three letters picked without replacement from {s: 1, e: 2, u: 4, k: 1}?
3/14
What is prob of picking 1 q and 1 p when two letters picked without replacement from {p: 3, b: 6, w: 2, e: 3, q: 1}?
1/35
What is prob of picking 2 s and 1 y when three letters picked without replacement from {b: 1, y: 4, i: 1, n: 1, s: 3, r: 2}?
3/55
Calculate prob of picking 1 q, 1 d, and 1 a when three letters picked without replacement from {d: 2, q: 1, a: 2, m: 11, b: 3}.
4/969
What is prob of picking 2 h when two letters picked without replacement from {j: 4, h: 3, i: 1, c: 4, u: 5, x: 3}?
3/190
Two letters picked without replacement from pzqgzwqqpqzzjj. Give prob of picking 1 w and 1 z.
4/91
Four letters picked without replacement from {l: 8, n: 2, o: 3, q: 3}. Give prob of picking 4 l.
1/26
Calculate prob of picking 1 l and 1 d when two letters picked without replacement from dddqmlo.
1/7
Two letters picked without replacement from uswum. Give prob of picking 1 m and 1 s.
1/10
Calculate prob of picking 1 j and 2 l when three letters picked without replacement from {l: 2, j: 1}.
1
Calculate prob of picking 2 k when two letters picked without replacement from kkrrrkrkrrkkrrkkkrk.
5/19
Calculate prob of picking 2 b and 2 q when four letters picked without replacement from {q: 4, b: 7}.
21/55
What is prob of picking 1 g, 2 j, and 1 s when four letters picked without replacement from {d: 1, j: 6, g: 6, w: 1, s: 4}?
2/17
Four letters picked without replacement from zzuhhzuhhhhzhzuzu. What is prob of picking 1 z and 3 h?
3/34
Three letters picked without replacement from qrrzxxggrg. What is prob of picking 1 r and 2 g?
3/40
What is prob of picking 2 y, 1 v, and 1 w when four letters picked without replacement from {w: 3, v: 2, y: 6, l: 1, d: 1}?
18/143
What is prob of picking 1 x and 1 e when two letters picked without replacement from exe?
2/3
Three letters picked without replacement from uuencvh. What is prob of picking 1 n, 1 c, and 1 u?
2/35
What is prob of picking 4 v when four letters picked without replacement from {b: 1, v: 7}?
1/2
Four letters picked without replacement from {m: 2, j: 6}. Give prob of picking 4 j.
3/14
What is prob of picking 4 r when four letters picked without replacement from rrrrrrurruurrrr?
33/91
Calculate prob of picking 1 w and 1 h when two letters picked without replacement from whu.
1/3
Two letters picked without replacement from {q: 1, a: 1, c:
|
{
"pile_set_name": "DM Mathematics"
}
|
14 - 4 for l.
-1
Suppose -4*t = -2*t. Solve t = -2*n + 5*s + 12, -n - 4*s - 8 = -3*s for n.
-4
Suppose -5*s + 4*j + 26 = 0, 3*s - 2*j - j = 18. Suppose -4*l + 2*x = l - 34, -l - 5*x - 4 = 0. Solve -3*d - s*a = -l, 0*a - 9 = -2*d - 3*a for d.
0
Let g be 0 - 0 - (5 + 2). Let v(u) = -5*u**2. Let f be v(1). Let i = f - g. Solve -i*a + a + 5*x + 20 = 0, 16 = 5*a + 3*x for a.
5
Let f = 1 - 1. Suppose -3*w + 2 = -2*w. Solve 0 = -w*t + c + 10, f*t - 4*t + 8 = c for t.
3
Let s = 4 + 5. Suppose -4 = -4*l + 8. Solve l*z + 0*r + s = 2*r, 19 = -5*z + 2*r for z.
-5
Let a be (-564)/(-36) + 1/3. Suppose -m + a = 1. Solve -j + m + 2 = 5*n, 2*n - j = 11 for n.
4
Suppose 0 = -3*w - 2*z + 21, w + 33 = 6*w + 4*z. Let p = w - 5. Solve 4*q = 4*f - p, -5*f - 6*q + 5 = -4*q for f.
1
Let f = 17 + -15. Solve -2*l + 4*y - 12 = 0, 7*l + 2*y = f*l - 6 for l.
-2
Suppose -4*x + 5*x - 2 = 0. Solve 0 = b + 4*y + 8, 2*b - 2*y - 22 = -x*b for b.
4
Let l(y) = y**2 - 14*y - 7. Let x be l(15). Solve j - 22 = -5*q, x = -q + 5*j + 2 for q.
4
Let t = 0 - -4. Solve 2*x + 26 = -4*f, 4*f = t*x + 3 - 11 for f.
-5
Let k = -26 + 26. Solve k = 2*s + 4*q + 8, -3*s = -4*s - 4*q - 6 for s.
-2
Let d = -31 + 34. Solve 5*s + 25 = -3*g, 0*s - s = -d*g - 13 for g.
-5
Let i be ((-10)/(-6))/(4/12). Suppose k - 4*k - i*y + 31 = 0, -k + 27 = 5*y. Let p = 0 - -5. Solve 0*n + 14 = 4*b - k*n, 5*n = p*b - 15 for b.
4
Let s be (8/(-6))/((-4)/18). Suppose -2*g - g + s = 0. Solve -20 = -5*o, -g*n + 0*o = -3*o + 20 for n.
-4
Let l be 1/(-3)*1*-141. Let f = l + -28. Solve -3*k + 5*d - 30 = 0, -7*k = -2*k + 2*d + f for k.
-5
Let t = 12 + -3. Let u = t - 4. Solve -2 = -2*g + 4*a, 0 = -4*g - 4*a + 3*a - u for g.
-1
Suppose k = 3*k + 5*y - 25, -3*k = 3*y - 24. Solve -4*x + 6 - 13 = t, k*x - t = -20 for x.
-3
Suppose -3 = 3*q + 3*z, -q + z + 7 = -2. Solve 0*y - q*m = -3*y + 7, 2*y - 2*m - 4 = 0 for y.
1
Let s be 28/6 + 2/6. Suppose 0 = s*f - m - 10 - 8, 2*f - 5*m = -2. Let q(o) = o + 14. Let n be q(-6). Solve -k - f*x + n = 0, -2*k + k + 2*x - 4 = 0 for k.
0
Let q(p) = -35*p - 4. Let l be q(-1). Let a = -29 - -44. Suppose -3*o - 2*o = 5*s + a, -5*s + 4*o + 30 = 0. Solve s*m + m - l = -4*t, 23 = 3*m + 2*t for m.
5
Let c = 9 - 5. Let x = -4 + c. Solve i = -2*r + 4*i + 8, x = -r + 3*i + 4 for r.
4
Let z(a) = a - 2. Let p be z(2). Suppose 4*t = -p*f - f + 2, 4*t = 2*f + 8. Solve 3*w = 4*g + 14, 4*w - g = -t - 2 for w.
-2
Suppose -c + 4*c = 9. Let t(k) = -k**3 + 4*k**2 - 4. Let q be t(c). Solve 5*z + 22 = -4*d, 2*z - q*d - 7 = -2*z for z.
-2
Suppose 3*m = 17 - 5. Solve -2*z + 7*z = m*t + 10, 5*t + 19 = 3*z for z.
-2
Suppose -15 = -l - 5*o, 0 = 3*l - 6*o + o + 15. Suppose j + l*j - 17 = 0. Let q = 33 + -27. Solve 2*n - 3*d = j, 2*d = 4*n - 16 - q for n.
4
Suppose 2*b - 3*b = -5*q + 4, 4 = -b + 4*q. Let g be 12/(-9) - (-2)/(-3). Let r be 1/g + (-86)/b. Solve -5*j - n = 1 + 18, n = 5*j + r for j.
-4
Let f be (-11)/2 + (-2)/4. Let g(l) = -2*l - 9. Let y be g(f). Suppose 8*a - 20 = y*a. Solve -5*u - 2*n = -8, -5*u - n = -a - 0 for u.
0
Suppose 0 = -2*i - g - 2*g + 15, -5*i = 5*g - 25. Let a be (0 - 12)/(1 - 3). Solve 5*t - 4*j + 10 + a = i, 5*t - 2*j + 8 = 0 for t.
0
Suppose 20 = -2*p + 6*p. Suppose p*r - 25 = -5*k, 17 = 5*r + 3*k - 2*k. Let n be 1/(-3) + 13/r. Solve 0 = -4*u - 7*o + 2*o + 9, -n*u + 8 = 4*o for u.
1
Let w = -2 - -3. Let i(l) = -l**2 + 6*l + 9. Let h be i(7). Let f be h - w/3*0. Solve v = -f*s - 3*s + 7, -2*s + 2*v = 2 for s.
1
Suppose -3*j + 27 = 2*w, 6*w = 3*w + 4*j + 15. Solve -3*y + 8 = 2*s, -s - 4*s + w = 2*y for s.
1
Let t(g) = -g**3 + 25*g**2 - 25*g + 27. Let h be t(24). Solve u + 7 = -3*i, 5*i + h = -4*u - 11 for i.
-2
Suppose 14 = 5*l - 1. Solve 0 = 5*x - 5*p + 35, l*p + 2*p + 15 = -5*x for x.
-5
Let q = 60 + -56. Suppose u = -2*c + 3, 6*u = 2*u + 2*c + 12. Let f = -9 + 15. Solve u*o + 6 = q*i - i, o + i = f for o.
2
Let h(s) = s**2 - s - 1. Let q be h(-1). Suppose 0 = -p + 1 - 0. Let m = q + p. Solve 3*z + 8 = 2*z + m*d, 3*d = -4*z + 1 for z.
-2
Let i(s) = s**3 + 6*s**2 + 3*s - 6. Let w(p) = -p**2 + 2*p - 5. Let g be w(0). Let o be i(g). Solve -18 = -4*l + 2*h, 2 = -o*l - 4*h + 14 for l.
4
Let d(l) = l**3 - 9*l**2 - 11*l + 12. Let q be d(10). Solve -2*n - 3*u + 5 = 0, -n + 2 = n + q*u for n.
-2
Suppose 75*r - 4 = 73*r. Solve 2*v + 2*v - 20 = -r*o, 6 = -v + 5*o for v.
4
Let y = -5 + 22. Solve -3*v + 6 - y = -r, 2*v + 26 = -4*r for r.
-4
Let b(o) = -o**2 - 25*o - 22. Let h be b(-23). Solve -h = -3*w + 3*a + 3, -5*w - 2*a = -10 for w.
4
Let p = -30 - -32. Solve -5*u = f - 13, 5*f - 8 - 3 = p*u for f.
3
Let h(d) be the third derivative of d**2 + 7/24*d**4 + 0 + 0*d - 1/60*d**5 - d**3. Let l be h(5). Solve 5*y + 2*w - 3 = 0, 0 = 3*y + l*w - w - 9 for y.
-1
Let a = 20 - 15. Suppose -a*c + 0*c = 0. Solve c = 3*v - d - 9, -31 = -4*v - d - 12 for v.
4
Let z = -111 + 120. Solve -l + z = y, 2*l - 13 = -2*y + y for y.
5
Suppose -3*f + 20 = -0*f + 5*n, -8 = -f - 3*n. Suppose 0 = -k - h + 1 + 5, 5*k - 26 = -3*h. Solve f*c + 20 = q + q, 0 = -2*c - k*q + 16 for c.
-2
Let w(g) = -g**3 - 2*g - 4. Let a be w(-2). Solve 3*c - 5*d = -4*d - a, 4 = -3*c - d for c.
-2
Suppose 3*w + 5 = 2*y + 3*y, 0 = -4*w - 4*y + 4. Solve w*p = m + 4*p - 12, m = p - 8 for m.
-4
Let c be (-3)/((-3)/2) - -9. Solve -5*y - 5*k - 3 + 28 = 0, c = 3*y + 2*k for y.
1
Let v(l) = -l**2 - 5*l - 3. Let k be v(-3). Solve -4 = -f + 2*i + k*i, 8 = -4*f - 4*i for f.
-1
Suppose 0 = 2*a - 4*k + 10, -a = -6*a - k + 19. Solve -3 = -x + a*r, 0 = x + r + 2*r - 3 for x.
3
Suppose 2*x - 8 = 2*t, -3*x + 4*t + t = -10. Solve 3*l = -x*n - 8, 0 = -0*n - 3*n + 3*l for n.
-1
Suppose 0 = r + 2*r - 9. Solve -r*c + 5*z + 8 = 21, -31 = -4*c - 3*z for c.
4
Let p = -164 + 166. Solve -u = -2, -2*l = 5*u - 6 + p for l.
-3
Suppose a - 6*a = -40. Suppose -p - 3*q + 18 = 0, 3*q - 58 = -5*p + 4*q. Suppose 4*x - p = a. Solve 4*g - 16 = n - 0*g, -x*n = -2*g - 10 for n.
4
Let x be (3 - 39/9)*-15. Solve 4*l = x, 2*m - 7 = -3*l + 18 for m.
5
Suppose 16 = 10*w - 9*w. Solve 3*l - 11 = -h, 2*h = l - 4*l + w for h.
5
Let g(o) = -4*o - 10. Let j be g(-8). Suppose 4*q + 4*h - j - 6 = 0, -4*h + 16 = -2*q. Solve -q*n = 2*d, 0 = -d - n + 3*n + 6 for d.
2
Suppose l - 3*f = 1 - 7, 3*f + 6 = 5*l. Let r be (2 - (-40)/15)/(2/6). Suppose -4*q + 5 + 3 = 0. Solve -2*g + r = 5*h, 0 = 5*g - q*g - l*h + 21 for g.
-3
Let z = 3 - 3. Suppose -5 = 2*l - 3*t - z, 3*l + t = 9. Solve l*k = 3*h + 4, -h = -k + 2*k - 2 for k.
2
Let h(v) = -3 + 1 - 1 - v + 2. Let l be h(-5). Solve l*n - 5*p = 15, 4*p + 12 + 0 = 4*n for n.
0
Suppose 0 = 4*u + 5*c + 18, -4*c = -3*u + c + 4. Let s(n) = -4*n - 5. Let y be s(u). Solve -23 = -3*o - 7*t + y*t, -28 = -4*o - 4*t for o.
5
Suppose 2 = -2*w + 6. Solve w*l - 7*l - 25 = g, 0 = -2*g + 5*l + 10 for g.
-5
Suppose -2*r = 4*y - 224, 3*r = -r + 3*y + 459. Suppose -r = -3*v - 18. Solve 3*q = 5*g - v, 6*q = -5*g + q for g.
4
Let k(b) = 8*b**3 - b**2 + 2*b - 1. Let p be k(1). Suppose 5*j = 7*j - 4. Solve -j*n = -5*v - 11 + 4, -p = -n + 4*v for n.
-4
Let a(r) = -7*r + r**2 + 6*r + 12 - 2*r**2. Let g be a(0). Let h be 0/(-1*1*-2). Solve -3*x = -m - g, -4*x + h*x = -2*m - 14 for x.
5
Let t(s) = -s - 10. Let p be t(-12). Suppose -p = -z - 0*z. Solve 5*i - 22 = n, -4*n = -z*i - i + 20 for n.
-2
Let b(q) = q**2 - q. Let z be b(1). Let s be (z/4)/(-2 - 0). Solve s*a - 3*a - 1 = -2*v, 4 = 3*v - 2*a for v.
2
Suppose -5 = -g + 31. Solve g = 4*m + 4*x, 0 = -m + 2*x - x - 1 for m.
4
Let j be ((0/(-1))/(-2))/1. Solve -4*v - 5*t + 20 = j, 0 = -3*v - 0*t + 2*t + 15 for v.
5
Let f = -22 + 46. Solve 3*v = n - 2*v - 12, 5*n + f = -3*v for n.
-3
Suppose 4*y - 10 = -2*z, 3*z - 28 = -2*y + 3. Suppose 1 = -4*d + z. Let c be 26/12 + (-3)/18. Solve -r + h - 12 = -4*h, c*h - 15 = -d*r for r.
3
Let b = -8 - -8. Suppose b = -2*w + w + 5. Solve 4 + 0 = 2*k - 3*n, 3*n - 10 = -w*k for k.
2
Suppose -s + 3 = 3*x, -x + 5*s = 2*x + 15. Let h be (-56)/(-12) + 4/(-6). Solve -h*o + 3*k = 1 - 0, -k - 5 = x for o.
-4
Suppose 5 + 0 = 5*y - 5*b, 4*b + 4 = y. Let a = 0 + y. Let s = 1 - a. Solve 5*r = -d + 12, 0 = -d - s + 3 for r.
2
Suppose 5*n = -2 + 17. Let t = 1 + n. Solve -5*l - i - 25 = -0*i, t*l = 4*i - 20 for l.
-5
Let y = 6 + -3. Suppose 0 = -y*x + x + 6. Solve 2*p = 4*n - x*n + 7, 2*p = -3*n + 3 for n.
-1
Let u = 8 +
|
{
"pile_set_name": "DM Mathematics"
}
|
of 430242, 430685, 431128, 431571, 432014, 432457?
443*t + 429799
What is the y'th term of -78025, -78001, -77977?
24*y - 78049
What is the s'th term of 1232649, 1232642, 1232635, 1232628, 1232621?
-7*s + 1232656
What is the r'th term of -160754, -321488, -482222, -642956, -803690?
-160734*r - 20
What is the x'th term of -8243629, -16487257, -24730885, -32974513, -41218141, -49461769?
-8243628*x - 1
What is the q'th term of -9121, -9518, -10179, -11104?
-132*q**2 - q - 8988
What is the q'th term of 269061, 269006, 268951, 268896, 268841?
-55*q + 269116
What is the n'th term of -6859445, -13718898, -20578351, -27437804, -34297257?
-6859453*n + 8
What is the v'th term of 13567, 13602, 13659, 13738, 13839, 13962, 14107?
11*v**2 + 2*v + 13554
What is the d'th term of -434031, -432353, -430689, -429045, -427427, -425841?
-d**3 - d**2 + 1688*d - 435717
What is the r'th term of 1879, 2877, 3875?
998*r + 881
What is the s'th term of -998622, -1997229, -2995836, -3994443, -4993050, -5991657?
-998607*s - 15
What is the u'th term of -2612, -5005, -7328, -9581, -11764?
35*u**2 - 2498*u - 149
What is the l'th term of -22871, -45584, -68117, -90470, -112643?
90*l**2 - 22983*l + 22
What is the m'th term of 4610591, 4610594, 4610597, 4610600, 4610603?
3*m + 4610588
What is the o'th term of 411594140, 823188282, 1234782424, 1646376566, 2057970708, 2469564850?
411594142*o - 2
What is the f'th term of -178968, -357813, -536658, -715503, -894348, -1073193?
-178845*f - 123
What is the l'th term of 607, 968, 1519, 2356, 3575, 5272, 7543, 10484?
16*l**3 - l**2 + 252*l + 340
What is the g'th term of -11809, -23612, -35413, -47212, -59009?
g**2 - 11806*g - 4
What is the n'th term of -158068, -316119, -474146, -632137, -790080, -947963?
2*n**3 - 158065*n - 5
What is the p'th term of 13221, 52796, 118759, 211110, 329849, 474976?
13194*p**2 - 7*p + 34
What is the p'th term of 182105825, 182105822, 182105819?
-3*p + 182105828
What is the i'th term of 42582, 84235, 125902, 167589, 209302, 251047, 292830, 334657?
i**3 + i**2 + 41643*i + 937
What is the m'th term of -262, -78, 238, 692, 1290, 2038, 2942, 4008?
m**3 + 60*m**2 - 3*m - 320
What is the i'th term of -1290, -4298, -9268, -16164, -24950, -35590, -48048?
6*i**3 - 1017*i**2 + i - 280
What is the s'th term of -11850795, -11850790, -11850785, -11850780, -11850775?
5*s - 11850800
What is the i'th term of 86233, 172431, 258591, 344695, 430725, 516663, 602491, 688191?
-3*i**3 - i**2 + 86222*i + 15
What is the v'th term of -313929941, -313929943, -313929945, -313929947?
-2*v - 313929939
What is the s'th term of -692874, -2771497, -6235870, -11085993?
-692875*s**2 + 2*s - 1
What is the m'th term of -72280845, -72280830, -72280815, -72280800?
15*m - 72280860
What is the k'th term of -340426, -340489, -340552, -340615, -340678, -340741?
-63*k - 340363
What is the a'th term of 3952, 3749, 3528, 3295, 3056?
a**3 - 15*a**2 - 165*a + 4131
What is the s'th term of 27000, 26155, 24744, 22767?
-283*s**2 + 4*s + 27279
What is the l'th term of -2471, -9785, -21937, -38897, -60635, -87121, -118325?
5*l**3 - 2449*l**2 - 2*l - 25
What is the y'th term of 3236, 2083, 170, -2497, -5912, -10069, -14962, -20585?
y**3 - 386*y**2 - 2*y + 3623
What is the h'th term of 1424354, 1424357, 1424360, 1424363?
3*h + 1424351
What is the t'th term of 217, 462, 1275, 2986, 5925, 10422, 16807?
55*t**3 - 46*t**2 - 2*t + 210
What is the h'th term of -42291, -84632, -127025, -169470?
-26*h**2 - 42263*h - 2
What is the n'th term of -41565, -82268, -122971?
-40703*n - 862
What is the h'th term of 1632752, 1632743, 1632734, 1632725?
-9*h + 1632761
What is the g'th term of -21931920, -21931918, -21931916, -21931914, -21931912?
2*g - 21931922
What is the f'th term of 30320, 40589, 50858, 61127, 71396, 81665?
10269*f + 20051
What is the d'th term of 78474291, 78474301, 78474309, 78474315, 78474319?
-d**2 + 13*d + 78474279
What is the w'th term of -17333, -6631, 4071?
10702*w - 28035
What is the x'th term of 1117713, 1117704, 1117695, 1117686?
-9*x + 1117722
What is the j'th term of 2287, 4605, 6945, 9313, 11715, 14157?
j**3 + 5*j**2 + 2296*j - 15
What is the i'th term of 1496648, 2993531, 4490648, 5987999, 7485584, 8983403, 10481456?
117*i**2 + 1496532*i - 1
What is the r'th term of -201, -319, -425, -519, -601?
6*r**2 - 136*r - 71
What is the j'th term of 494, 2374, 5564, 10112, 16066?
8*j**3 + 607*j**2 + 3*j - 124
What is the r'th term of 565424, 1130279, 1695134, 2259989, 2824844, 3389699?
564855*r + 569
What is the q'th term of 908, 3290, 6424, 9626, 12212, 13498, 12800?
-114*q**3 + 1060*q**2 - 38
What is the g'th term of 4190, 3955, 3720, 3485, 3250?
-235*g + 4425
What is the p'th term of 39142, 39145, 39106, 38989, 38758, 38377, 37810?
-6*p**3 + 15*p**2 + 39133
What is the m'th term of -64833, -63337, -61839, -60339, -58837, -57333?
m**2 + 1493*m - 66327
What is the r'th term of -8448, -8147, -7834, -7503, -7148, -6763, -6342?
r**3 + 294*r - 8743
What is the q'th term of -6052042, -12104065, -18156084, -24208099, -30260110, -36312117, -42364120?
2*q**2 - 6052029*q - 15
What is the r'th term of -1271126, -5084525, -11440186, -20338103, -31778270, -45760681?
r**3 - 1271137*r**2 + 5*r + 5
What is the c'th term of 3086185, 3086221, 3086257, 3086293, 3086329, 3086365?
36*c + 3086149
What is the r'th term of 294067113, 294067111, 294067109, 294067107?
-2*r + 294067115
What is the g'th term of -47160, -188932, -425322, -756330, -1181956?
-47309*g**2 + 155*g - 6
What is the x'th term of 1337, 1619, 2019, 2537, 3173, 3927, 4799?
59*x**2 + 105*x + 1173
What is the p'th term of -1742783, -1742833, -1742907, -1742999, -1743103, -1743213?
p**3 - 18*p**2 - 3*p - 1742763
What is the d'th term of 19856, 78151, 174892, 310079?
19223*d**2 + 626*d + 7
What is the c'th term of -3906, -15501, -34826, -61881?
-3865*c**2 - 41
What is the n'th term of -9510, -10104, -10698?
-594*n - 8916
What is the m'th term of -2746141, -10984551, -24715239, -43938211, -68653473?
-m**3 - 2746133*m**2 - 4*m - 3
What is the g'th term of 8023, 31876, 71615, 127240, 198751?
7943*g**2 + 24*g + 56
What is the h'th term of 327736, 1310987, 2949744, 5244007, 8193776, 11799051, 16059832?
327753*h**2 - 8*h - 9
What is the o'th term of -8459, -17207, -26241, -35561?
-143*o**2 - 8319*o + 3
What is the m'th term of 2033652, 16269242, 54908706, 130153980, 254207000?
2033656*m**3 + m**2 - 5*m
What is the o'th term of 60422, 241598, 543530, 966218?
60378*o**2 + 42*o + 2
What is the d'th term of 17650, 17843, 18036, 18229, 18422, 18615?
193*d + 17457
What is the k'th term of -184012, -737829, -1660858, -2953099, -4614552, -6645217?
-184606*k**2 + k + 593
What is the c'th term of -608671, -608685, -608691, -608689?
4*c**2 - 26*c - 608649
What is the f'th term of -779279, -1558567, -2337871, -3117191, -3896527, -4675879, -5455247?
-8*f**2 - 779264*f - 7
What is the q'th term of -9157, -19171, -30027, -41719, -54241, -67587, -81751?
q**3 - 427*q**2 - 8740*q + 9
What is the f'th term of -602, -582, -524, -410, -222?
3*f**3 + f**2 - 4*f - 602
What is the w'th term of 185, -3876, -14895, -36352, -71727, -124500, -198151, -296160?
-580*w**3 + w**2 - 4*w + 768
What is the i'th term of 275010, 550714, 826418, 1102122?
275704*i - 694
What is the j'th term of 35857701, 35857707, 35857717, 35857731, 35857749, 35857771?
2*j**2 + 35857699
What is the u'th term of 12582470, 12582473, 12582476, 12582479?
3*u + 12582467
What is the b'th term of 340, 1022, 1444, 1024, -820, -4670, -11108?
-97*b**3 + 452*b**2 + 5*b - 20
What is the y'th term of -334718, -1338846, -3012394, -5355368, -8367774, -12049618, -16400906, -21421644?
-y**3 - 334704*y**2 - 9*y - 4
What is the h'th term of 2765206, 5530412, 8295618, 11060824?
2765206*h
What is the q'th term of 965, 2749, 5347, 8759, 12985, 18025?
407*q**2 + 563*q - 5
What is the s'th term of 71795, 143604, 215439, 287312, 359235, 431220, 503279, 575424?
2*s**3 + s**2 + 71792*s
What is the q'th term of -37711, -75297, -112883?
-37586*q - 125
What is the m'th term of -186014, -371645, -557276, -742907, -928538?
-185631*m - 383
What is the u'th term of 865, 6356, 20869, 48796, 94529, 162460, 256981?
732*u**3 + 119*u**2 + 10*u + 4
What is the h'th term of -3433, -2460, -837, 1436, 4359?
325
|
{
"pile_set_name": "DM Mathematics"
}
|
re between 9:11 PM and 9:10 AM?
719
How many minutes are there between 5:23 PM and 3:06 AM?
583
How many minutes are there between 6:10 PM and 10:44 PM?
274
What is 152 minutes before 10:23 AM?
7:51 AM
What is 631 minutes before 7:56 PM?
9:25 AM
How many minutes are there between 7:33 AM and 4:01 PM?
508
How many minutes are there between 2:31 PM and 2:14 AM?
703
How many minutes are there between 3:26 PM and 2:13 AM?
647
How many minutes are there between 7:03 AM and 4:55 PM?
592
How many minutes are there between 5:58 AM and 6:54 AM?
56
What is 663 minutes after 1:45 AM?
12:48 PM
What is 344 minutes before 8:45 PM?
3:01 PM
How many minutes are there between 3:07 PM and 10:43 PM?
456
How many minutes are there between 9:03 AM and 1:52 PM?
289
How many minutes are there between 5:06 AM and 12:18 PM?
432
What is 582 minutes before 8:04 PM?
10:22 AM
How many minutes are there between 9:38 AM and 4:42 PM?
424
How many minutes are there between 12:40 PM and 2:37 PM?
117
What is 250 minutes before 7:57 PM?
3:47 PM
What is 705 minutes before 9:21 AM?
9:36 PM
How many minutes are there between 10:31 AM and 8:42 PM?
611
What is 207 minutes after 2:32 PM?
5:59 PM
What is 111 minutes after 4:54 AM?
6:45 AM
What is 249 minutes after 2:35 PM?
6:44 PM
How many minutes are there between 7:57 PM and 6:52 AM?
655
How many minutes are there between 1:21 PM and 9:37 PM?
496
What is 576 minutes before 11:36 PM?
2:00 PM
What is 152 minutes after 10:00 AM?
12:32 PM
How many minutes are there between 12:59 PM and 2:59 PM?
120
How many minutes are there between 8:46 PM and 1:38 AM?
292
How many minutes are there between 4:35 AM and 12:11 PM?
456
What is 303 minutes before 7:37 PM?
2:34 PM
How many minutes are there between 2:12 PM and 12:24 AM?
612
How many minutes are there between 3:24 AM and 1:44 PM?
620
What is 315 minutes after 4:22 AM?
9:37 AM
What is 103 minutes after 10:56 PM?
12:39 AM
How many minutes are there between 8:13 PM and 8:15 PM?
2
What is 293 minutes before 1:15 PM?
8:22 AM
What is 528 minutes after 10:18 PM?
7:06 AM
How many minutes are there between 1:19 AM and 4:34 AM?
195
How many minutes are there between 12:37 AM and 11:58 AM?
681
How many minutes are there between 12:58 PM and 4:02 PM?
184
What is 203 minutes after 1:49 PM?
5:12 PM
How many minutes are there between 10:48 PM and 10:19 AM?
691
How many minutes are there between 1:01 AM and 11:48 AM?
647
What is 305 minutes after 8:39 AM?
1:44 PM
How many minutes are there between 8:06 AM and 11:12 AM?
186
How many minutes are there between 1:11 AM and 11:03 AM?
592
How many minutes are there between 7:19 AM and 4:37 PM?
558
How many minutes are there between 2:35 AM and 9:54 AM?
439
What is 332 minutes before 1:13 AM?
7:41 PM
What is 172 minutes after 10:05 AM?
12:57 PM
How many minutes are there between 10:24 AM and 3:44 PM?
320
How many minutes are there between 8:42 AM and 2:49 PM?
367
How many minutes are there between 1:25 AM and 6:38 AM?
313
How many minutes are there between 7:35 PM and 10:04 PM?
149
How many minutes are there between 3:02 AM and 4:18 AM?
76
How many minutes are there between 6:27 AM and 7:43 AM?
76
What is 63 minutes after 5:31 PM?
6:34 PM
What is 310 minutes before 1:23 AM?
8:13 PM
What is 625 minutes after 10:46 PM?
9:11 AM
How many minutes are there between 7:39 AM and 5:27 PM?
588
How many minutes are there between 7:22 AM and 8:53 AM?
91
What is 627 minutes after 10:27 PM?
8:54 AM
What is 439 minutes after 10:24 PM?
5:43 AM
How many minutes are there between 1:02 PM and 10:21 PM?
559
How many minutes are there between 9:43 AM and 6:27 PM?
524
What is 704 minutes after 2:52 AM?
2:36 PM
What is 367 minutes after 5:58 PM?
12:05 AM
How many minutes are there between 7:54 PM and 9:24 PM?
90
How many minutes are there between 10:18 AM and 2:29 PM?
251
What is 482 minutes after 11:09 AM?
7:11 PM
How many minutes are there between 7:28 PM and 5:20 AM?
592
How many minutes are there between 8:41 PM and 3:40 AM?
419
What is 459 minutes before 12:15 PM?
4:36 AM
What is 607 minutes before 8:33 AM?
10:26 PM
How many minutes are there between 3:48 PM and 5:38 PM?
110
What is 488 minutes before 2:30 PM?
6:22 AM
What is 101 minutes before 5:55 AM?
4:14 AM
What is 203 minutes before 3:28 AM?
12:05 AM
What is 91 minutes after 12:54 PM?
2:25 PM
What is 702 minutes after 4:16 PM?
3:58 AM
How many minutes are there between 7:27 PM and 8:11 PM?
44
How many minutes are there between 12:14 AM and 4:10 AM?
236
How many minutes are there between 6:50 AM and 1:58 PM?
428
How many minutes are there between 6:59 AM and 4:50 PM?
591
What is 144 minutes after 12:24 PM?
2:48 PM
How many minutes are there between 3:51 PM and 11:10 PM?
439
How many minutes are there between 7:20 AM and 1:51 PM?
391
How many minutes are there between 12:20 AM and 5:03 AM?
283
How many minutes are there between 12:47 PM and 5:30 PM?
283
What is 689 minutes after 9:07 AM?
8:36 PM
What is 453 minutes before 4:18 AM?
8:45 PM
How many minutes are there between 7:02 PM and 11:02 PM?
240
How many minutes are there between 8:14 AM and 9:17 AM?
63
How many minutes are there between 5:30 AM and 5:49 AM?
19
What is 687 minutes before 11:01 PM?
11:34 AM
How many minutes are there between 12:55 PM and 12:05 AM?
670
How many minutes are there between 3:39 PM and 4:14 PM?
35
What is 185 minutes after 3:32 AM?
6:37 AM
What is 692 minutes before 7:36 PM?
8:04 AM
How many minutes are there between 6:15 PM and 11:18 PM?
303
What is 141 minutes before 7:50 PM?
5:29 PM
How many minutes are there between 7:59 AM and 3:09 PM?
430
How many minutes are there between 8:39 AM and 6:44 PM?
605
How many minutes are there between 11:42 PM and 2:35 AM?
173
How many minutes are there between 2:18 PM and 9:19 PM?
421
What is 689 minutes after 5:34 AM?
5:03 PM
What is 360 minutes before 8:04 AM?
2:04 AM
What is 137 minutes before 10:11 AM?
7:54 AM
What is 195 minutes before 10:12 PM?
6:57 PM
What is 19 minutes before 10:16 AM?
9:57 AM
How many minutes are there between 7:53 AM and 10:48 AM?
175
How many minutes are there between 10:16 AM and 4:44 PM?
388
What is 559 minutes before 3:54 PM?
6:35 AM
What is 492 minutes before 8:48 PM?
12:36 PM
What is 207 minutes before 6:14 AM?
2:47 AM
What is 644 minutes after 10:23 AM?
9:07 PM
How many minutes are there between 5:12 AM and 5:52 AM?
40
What is 41 minutes after 9:56 PM?
10:37 PM
How many minutes are there between 7:05 AM and 12:03 PM?
298
What is 331 minutes after 4:52 PM?
10:23 PM
What is 675 minutes after 8:17 PM?
7:32 AM
What is 249 minutes before 7:39 PM?
3:30 PM
What is 243 minutes before 4:55 PM?
12:52 PM
How many minutes are there between 4:32 AM and 6:40 AM?
128
What is 291 minutes after 7:57 PM?
12:48 AM
How many minutes are there between 1:36 AM and 6:51 AM?
315
How many minutes are there between 4:30 AM and 5:39 AM?
69
What is 175 minutes after 3:47 AM?
6:42 AM
What is 445 minutes after 2:16 AM?
9:41 AM
How many minutes are there between 9:58 AM and 12:59 PM?
181
How many minutes are there between 4:27 AM and 12:43 PM?
496
How many minutes are there between 11:41 AM and 1:48 PM?
127
What is 553 minutes before 11:30 PM?
2:17 PM
How many minutes are there between 3:47 PM and 2:51 AM?
664
What is 697 minutes after 5:56 AM?
5:33 PM
How many minutes are there between 4:07 AM and 2:30 PM?
623
What is 332 minutes after 12:05 PM?
5:37 PM
How many minutes are there between 9:49 PM and 7:02 AM?
553
How many minutes are there between 4:29 AM and 4:09 PM?
700
How many minutes are there between 8:05 PM and 1:10 AM?
305
How many minutes are there between 10:24 PM and 5:36 AM?
432
What is 295 minutes before 7:01 PM?
2:06 PM
What is 69 minutes before 1:18 PM?
12:09 PM
How many minutes are there between 11:29 PM and 10:57 AM?
688
What is 170 minutes before 1:01 AM?
10:11 PM
What is 692 minutes after 9:55 PM?
9:27 AM
How many minutes are there between 8:53 PM and 10:36 PM?
103
What is 520 minutes after 8:44 PM?
5:24 AM
What is 697 minutes after 7:29 AM?
7:06 PM
What is 136 minutes after 12:07 PM?
2:23 PM
What is 186 minutes after 9:59 PM?
1:05 AM
What is 101 minutes after 5:29 AM?
7:10 AM
What is 685 minutes after 6:30 AM?
5:55 PM
What is 293 minutes before 2:37 AM?
9:44 PM
How many minutes are the
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*x + 1 + 5*x + 126*x**2.
126*x**2 + 1
Collect the terms in -108 + 49 + 59 - 2*c.
-2*c
Collect the terms in -5*f**2 + 5*f**2 + 241*f**3.
241*f**3
Collect the terms in -8*r - 7*r - 8*r**2 + 15*r.
-8*r**2
Collect the terms in 8*g - 31 + 8 - 2.
8*g - 25
Collect the terms in 56*i**2 - 148*i**2 - 76*i**2.
-168*i**2
Collect the terms in -w**2 - 2*w**2 + 1 + 10*w**2 + 4*w**2.
11*w**2 + 1
Collect the terms in 880*n**2 + n - 848*n**2 - n.
32*n**2
Collect the terms in -h**2 - 3122 - 3123 + 6245 - h**2.
-2*h**2
Collect the terms in 10*h + 469 - 469.
10*h
Collect the terms in -4*b**2 + 0*b**2 + 7*b**2 - 6*b**2.
-3*b**2
Collect the terms in 8*q**3 - 4*q**3 - 586*q + 586*q.
4*q**3
Collect the terms in -15*g**3 - 32*g**3 + 54*g**3.
7*g**3
Collect the terms in -4*d + 3*d + d + 6*d**3.
6*d**3
Collect the terms in 3 - 5 + 2 + 2*w**2.
2*w**2
Collect the terms in 29*v**2 + 0*v**2 - 14*v**2 + 2*v.
15*v**2 + 2*v
Collect the terms in -2*j + 6*j + 5*j + 3*j.
12*j
Collect the terms in 0 + 0 - 3*a - 31*a.
-34*a
Collect the terms in -c**2 + 2 + 0 + 21*c**2.
20*c**2 + 2
Collect the terms in 36452 + 4*o - 36452 - 2*o.
2*o
Collect the terms in 71*n**2 + 685*n**2 + 651*n**2.
1407*n**2
Collect the terms in -4 + 30*o**3 + 7 - 3.
30*o**3
Collect the terms in 7*d**3 + 10*d**3 - 23*d**3 - 34*d**3.
-40*d**3
Collect the terms in 759*g**3 - 8*g**2 + 3*g**2 + 5*g**2 - 757*g**3.
2*g**3
Collect the terms in -6*k + 12*k + k**3 + 8*k.
k**3 + 14*k
Collect the terms in -12*d + 12*d**3 + 4*d + 8*d.
12*d**3
Collect the terms in -22*c + 81 + 89 - 170.
-22*c
Collect the terms in 2*n + 197 - 104 - 93.
2*n
Collect the terms in -1 - 1 - 392*q - 675*q - 301*q.
-1368*q - 2
Collect the terms in -33 + 19*p + 83 - 52.
19*p - 2
Collect the terms in -18 - 9*p + 35 - 17.
-9*p
Collect the terms in -129934*z + 129934*z - 2*z**2.
-2*z**2
Collect the terms in 6 + 30*f**2 - 4 + 0*f + 0*f.
30*f**2 + 2
Collect the terms in -122*b**2 + 0*b**3 - b**3 - 118*b**2 + 240*b**2.
-b**3
Collect the terms in -27*l + 57*l - 30*l + l**2.
l**2
Collect the terms in -2*k + 15*k**3 - k**3 + 2*k.
14*k**3
Collect the terms in -i**2 + i**2 + 2704*i**3.
2704*i**3
Collect the terms in 2 - 4 - 20*x + 1 - 2*x.
-22*x - 1
Collect the terms in -14*t + 3 + 33*t - 3.
19*t
Collect the terms in -5*c**3 - 13*c**3 + 13*c**3.
-5*c**3
Collect the terms in 0 - 2*c + 3*c + 0 - 402*c**3.
-402*c**3 + c
Collect the terms in -470*z**2 - 469*z**2 + 942*z**2.
3*z**2
Collect the terms in -1557 + q + 3107 - 1550.
q
Collect the terms in -5*n**2 + 4*n - 3*n**2 + n**2.
-7*n**2 + 4*n
Collect the terms in 2 - 5*s + 9*s - 8 + s.
5*s - 6
Collect the terms in 19 + 9 - 46 + 16 - 7*s.
-7*s - 2
Collect the terms in -5*u - 2*u + 9*u.
2*u
Collect the terms in -13*h + 16*h + 18*h.
21*h
Collect the terms in -4 + 2*o + 2*o + 12*o.
16*o - 4
Collect the terms in 578*k - 26*k**3 - 578*k.
-26*k**3
Collect the terms in -21 + 10*r + 21.
10*r
Collect the terms in 185*m**2 - 13*m**3 - 185*m**2.
-13*m**3
Collect the terms in -995 + 995 - 16*k**3.
-16*k**3
Collect the terms in 9*i**3 + 34*i**2 + 27*i**2 + 14*i**3 - 61*i**2.
23*i**3
Collect the terms in 16 - 19*j**2 + 19 - 35 + 18*j**2.
-j**2
Collect the terms in -20 + 40 - 21 - 68*h.
-68*h - 1
Collect the terms in -2*n + 3*n - 1938 - 1954 + 3892.
n
Collect the terms in 26*w**3 - 4 + 4 + 0.
26*w**3
Collect the terms in 43*i + 31*i + 62*i - 31*i.
105*i
Collect the terms in -1 - 3*n**2 - 8*n**2 + 1.
-11*n**2
Collect the terms in -17*x**3 - 52*x + 22*x + 30*x.
-17*x**3
Collect the terms in -107 + 4*r + 203 - 96.
4*r
Collect the terms in 4*w**2 - 7*w**2 + 12*w**2 + 6*w**2.
15*w**2
Collect the terms in 16 - 8 - 8 - 25*z**3.
-25*z**3
Collect the terms in 6*w**2 + 3*w**3 - 13*w**2 + 7*w**2.
3*w**3
Collect the terms in 14*j + 8*j + 4*j - 16*j.
10*j
Collect the terms in -84*g**3 + 67 - 137 + 70.
-84*g**3
Collect the terms in -1081 + 1081 + 8*b**2.
8*b**2
Collect the terms in 10*h**3 + 9*h**3 - 23*h**3 + 7*h**3.
3*h**3
Collect the terms in 3*v**2 + 13*v**2 - 13*v**2.
3*v**2
Collect the terms in -4*r + 3*r + 4*r + 4 - 17.
3*r - 13
Collect the terms in -41*m**2 - 94*m**2 - 3*m**2.
-138*m**2
Collect the terms in 274*l**3 - 540*l**3 + 271*l**3.
5*l**3
Collect the terms in 55*j**3 + 950*j**2 - 950*j**2 + 43*j**3.
98*j**3
Collect the terms in -5 + 9*c**3 + 5 + 0.
9*c**3
Collect the terms in -12*f + 128*f**3 + 12*f - 133*f**3.
-5*f**3
Collect the terms in -30*d**2 - 8*d**2 - 15*d**2.
-53*d**2
Collect the terms in 32*g**3 + 2 - 37*g**3 - 2.
-5*g**3
Collect the terms in 5*j**2 - 23*j**2 + 6*j**2 - 12*j**2.
-24*j**2
Collect the terms in 99*s - 197*s + 98*s + 2 - 5*s**3.
-5*s**3 + 2
Collect the terms in -58723*i + 58723*i + i**2.
i**2
Collect the terms in -18*p**3 + 43*p**3 - 21*p**3.
4*p**3
Collect the terms in 87 - 131 + 2*u**2 + 44.
2*u**2
Collect the terms in -4024311*q - 2*q**2 + 4024311*q.
-2*q**2
Collect the terms in 959*p + 12*p**3 - 959*p - 5*p**3.
7*p**3
Collect the terms in 1953*n**2 + 0 - 1956*n**2 + 0.
-3*n**2
Collect the terms in -4*r**3 + 3300 - 3300 - 4*r**3.
-8*r**3
Collect the terms in -9*y**2 - 13*y**2 + 36*y**2 - 18*y**2.
-4*y**2
Collect the terms in -19*h**3 + 4*h**2 - 4*h**2.
-19*h**3
Collect the terms in 5 - 5 - 163*t**2.
-163*t**2
Collect the terms in 14 + 18 - v**2 + 3*v**2.
2*v**2 + 32
Collect the terms in -88 + 44*i**2 + 88.
44*i**2
Collect the terms in -2*r**2 - 50725 + 50725.
-2*r**2
Collect the terms in -21*d - 21*d - 33*d + 46*d.
-29*d
Collect the terms in z**3 + 3*z**3 + 5*z**2 + 8*z**2.
4*z**3 + 13*z**2
Collect the terms in 25*y**2 + 22*y**2 + 79*y**2.
126*y**2
Collect the terms in -q - 3 - 4 - 1 + 8.
-q
Collect the terms in -38177*z + 38177*z - z**3.
-z**3
Collect the terms in 19*m - 1394 + 1394.
19*m
Collect the terms in 5*h**3 - h**3 + 6*h**3 - 6*h**3.
4*h**3
Collect the terms in -123*i**3 - 3*i + 3*i + 121*i**3.
-2*i**3
Collect the terms in -10*s + 0*s + 20 + 4*s.
-6*s + 20
Collect the terms in 14*y**3 - 22*y**3 + 11*y**3.
3*y**3
Collect the terms in 3080 + w**3 - 3*w**3 - 3080.
-2*w**3
Collect the terms in 9*v**2 + 9*v**2 - 6*v**2.
12*v**2
Collect the terms in 0*r + 0*r + 57*r**3 - 8 + 4.
57*r**3 - 4
Collect the terms in -554*q**2 + 348*q**2 + 204*q**2.
-2*q**2
Collect the terms in -3*b**3 - b**3 + 4*b - 4*b - b**3.
-5*b**3
Collect the terms in 1295*f + 0 + 2 - 2.
1295*f
Collect the terms in 8*y**2 - 29*y**2 - 62*y**2.
-83*y**2
Collect the terms in 332*j**3 - 44*j**3 - 15*j**3.
273*j**3
Collect the terms in -4*a**3 - 648717*a + 648717*a.
-4*a**3
Collect the terms in 179794 - 179794 + 7*r.
7*r
Collect the terms in 3*m**2 - 25*m**3 + 2*m**2 + 0*m**2 - 3*m**2.
-25*m**3 + 2*m**2
Collect the terms in -2*p + 2*p - 24*p**2 - 2*p**2.
-26*p**2
Collect the terms in 64*p**3 - 73*p**3 + 8*p**3.
-p**3
Collect the terms in 17*r - 39*r + 23*r.
r
Collect the terms in 962 + a**2 + 0*a**2 - 962.
a**2
Collect the terms in -13*s**3 + 10*s**3 - 13*s**3.
-16*s**3
Collect the terms in 14*g**2 - 5*g - 2*g**2 + 5*g.
12*g**2
Collect the terms in 71 - 140 + 69 + 4*k.
4*k
Collect the terms in 241*v + 3*v**2 - 241*v.
3*v**2
Collect the terms in 10 + c - 2*c - 59.
-c - 49
Collect the terms in 4*p - 9*p - 12*p + 2.
-17*p + 2
Collect the terms in n**3 - n**3 + 2*n**3 - 6*n**3.
-4*n**3
Collect the terms in 11*r**2 + 7*r**2 - 20*r**2.
-2*r**2
Collect the terms in -2*m - 2*m + 4*m + m**3.
m**3
Collect the terms in 7*h - 2*h**2 + 37*h**2 - 7*h.
35*h**2
Collect the terms in 3 + 4*n + 2*n + 0*n - 4*n.
2*n + 3
Collect the terms in 12*w**3 - 20*w**2 + 20*w**2.
12*w**3
Collect the terms in q**2 - 7*q**2 - 16*q**2 + 26*q**2.
4*q**2
Collect the terms in -u**2 - 2*u - u**2 + u**2 - u**2.
-2*u**2 - 2*u
Collect the terms in 21*i**3 + 9*i**3 - 17*i**3.
13*i**3
Collect the terms in 16*b - 8*b - 14*b.
-6*b
Collect the terms in 829141*x**3 + 5*x**2 - 829142*x**3 - 5*x**2.
-x**3
Collect the terms in -459 + 228 + 231 + 6*v.
6*v
Collect the terms in -7*h - 6*h + 11*h.
-2*h
Collect the terms in 29*d**2 - 8*d + 3*d + 5*d.
29*d**2
Collect the terms in 14*w + 0*w + 15*w + 5*w.
34*w
Collect the terms in 5*n**2 + 405 - 405 - 4*n**2.
n**2
Collect the terms in -3*h**2 + 3*h**2 + 2*h**2 - h**2.
h**2
Collect the terms in 6*c**2 - c**2 + 6*c**2 - 2*c**2.
9*c**2
Collect the terms in -3*k**3 + 5*k**3 - 32*k**3.
-30*k**3
Collect the terms in 117 - 117 + 3643*b**3 - 3639*b**
|
{
"pile_set_name": "DM Mathematics"
}
|
- m. Put 0.5, 3, j in decreasing order.
3, 0.5, j
Let r = -26309.93 - -26310. Let j be (-14)/2 - (-3)/3. Let z be 1/j + (-1)/2. Put -1/4, -2, z, r in decreasing order.
r, -1/4, z, -2
Let z = -12877 - -12878. Put z, -4.5, 4 in decreasing order.
4, z, -4.5
Suppose 2 = n - 2*p, 6*n - 3*p = 3*n + 15. Let f be ((-9)/18)/(1 + 5/(-6)). Sort -2, f, n, -1 in descending order.
n, -1, -2, f
Let a be ((-8)/2 - -2) + 5 + -1. Let o(i) = -4*i + 8. Let d be o(a). Suppose 7 = -5*y - 8. Put y, d, 4, -4 in descending order.
4, d, y, -4
Let o(q) = -q**3 + q + 18. Let g be o(0). Let z be ((-96)/(-40))/(g/20). Let h = z + -23/12. Sort h, -18, 5 in increasing order.
-18, h, 5
Suppose 0 = 5*y - 3*k + 20, -2*y - 2*k - 84 = -60. Sort -5, 2, 3, y in descending order.
3, 2, -5, y
Suppose -10*v + 9*v = -5*q - 696, 2*v = -2*q + 1332. Let z = -667 + v. Sort 50/3, 0.1, z.
0.1, z, 50/3
Let w = -43.262 - -42.74. Put -0.3, -4, -4/7, 1, w in increasing order.
-4, -4/7, w, -0.3, 1
Let x = -4.515 + 4.215. Sort 0.8, -2, -0.4, -0.24, x in increasing order.
-2, -0.4, x, -0.24, 0.8
Let g(w) = -w**3 - 16*w**2 - 61*w + 14. Let t be g(-7). Suppose t = 16*p + 11 + 5. Sort -8, p, 3, -25 in decreasing order.
3, p, -8, -25
Suppose 45*f - 62 = -6*f - 11*f. Let x(l) = -3*l + 4. Let t be x(3). Let b be (-1*2 - 0) + -2. Put f, 4, b, t in ascending order.
t, b, f, 4
Let y = 109 - 100. Let t be y/9 + 15/5. Put -2, t, 0 in decreasing order.
t, 0, -2
Suppose -123*q - b + 6 = -126*q, -3*q + 2*b - 3 = 0. Let f be (-18)/72 + ((-18)/(-8))/1. Sort -9, f, q in descending order.
f, q, -9
Let c be (-2)/(-1)*(-66)/(-88)*2. Sort -1, c, -10, 4, -2 in ascending order.
-10, -2, -1, c, 4
Let b be -1 - ((-42)/(-36) - 110/66)*6. Suppose n = 6*n - 145. Suppose -x - 4*t - n = 4*x, 4*x = 3*t - 17. Put 1, x, b, -3 in increasing order.
x, -3, 1, b
Let u = -69 - -72. Suppose -u*z - t = -8, -t - 10 = -3*z - 0*t. Put -1, 10, -3, z in ascending order.
-3, -1, z, 10
Suppose 0 = 6*g - 10*g + 16, -2*g = -i - 13. Put 4, i, -2 in ascending order.
i, -2, 4
Let i = 14528/125511 + 14/7383. Let f = 6 + -4. Suppose 0 = f*u - 18 + 8. Sort u, -2/3, -1, i in descending order.
u, i, -2/3, -1
Let j be 18/(-4)*(-2 - (-64)/36). Let q(l) = l**2 - 4*l - 1. Let r be q(0). Sort -4, r, j.
-4, r, j
Let r = -0.1 - 0. Let j(f) = -946*f - 9458. Let q be j(-10). Put -4, q, r, -5 in descending order.
q, r, -4, -5
Suppose s = -k + 205 - 30, -4*s = 3*k - 697. Let f = s + -170. Sort f, -3, 6 in descending order.
6, f, -3
Let l = -339.9 - -340.1. Sort l, -5/4, 122/5.
-5/4, l, 122/5
Let l = -80/3 + 572/21. Let o = 18 - 23. Let y = o - -9. Sort y, l, 2/9 in increasing order.
2/9, l, y
Let u be ((-5130)/38)/(-45) - 7*1. Sort u, 2523, 2.
u, 2, 2523
Let z(p) = p**2 + 7*p - 64. Let q be z(5). Let a = -2 - 0. Let j = 10 + -10. Sort a, j, q in decreasing order.
j, a, q
Let l = -12.71668 - 0.28332. Put -3, -0.03, l in increasing order.
l, -3, -0.03
Let a = -27 - -78. Let o be (17/a + (-1)/(-3))*-6. Sort 16, -2, o, 5 in descending order.
16, 5, -2, o
Suppose -i + 417 = 11*i - 315. Put 0, i, -16, -3 in ascending order.
-16, -3, 0, i
Let c be 9*((-20)/60 - (3 + -4)). Sort -2, c, -3, 15, 1 in increasing order.
-3, -2, 1, c, 15
Let p be 0 + 1*6 - (82 - 47). Suppose 3*n - 6 = 0, -k + 3*n - 3 = -n. Put -3, 4, k, p in decreasing order.
k, 4, -3, p
Let u = 78 - 33. Let j = u - 44.6. Let m = -0.099 - -0.069. Sort -1/4, m, 3, j in decreasing order.
3, j, m, -1/4
Let d = -5446 + 5445.5. Sort d, -1/4, 50, -4, 2/5 in decreasing order.
50, 2/5, -1/4, d, -4
Suppose 0 = -d + 5*k + 11, 70*k = 65*k - 5. Sort d, -5/3, 0.3 in decreasing order.
d, 0.3, -5/3
Let x(t) = -173*t**2 + 1. Let n(o) = -o**3 + 7*o**2 + 1. Let z be n(7). Let k be x(z). Let q be k/(-36) + 4/18. Sort q, -4, 18 in increasing order.
-4, q, 18
Let n = -35.629 + 3.575. Let i = 0.054 + n. Let d = i + 32.2. Put 0.1, -0.4, d in descending order.
d, 0.1, -0.4
Let i be (167 + -8)*(-3)/(36/52). Let x = i + 688. Sort 26, -6, x in decreasing order.
26, x, -6
Let c = 323.887 - 324.487. Let k = 0.3 + -4.3. Sort -2, -2/7, c, k in ascending order.
k, -2, c, -2/7
Let h be (20/(-96))/((-1)/(-3)). Let k = -1853/5 - -370. Sort 1, -2/9, k, h.
h, k, -2/9, 1
Suppose k - 5*k = 8. Let i = -1028 + 1023. Sort 2, k, i, -37 in descending order.
2, k, i, -37
Let p be 1/17 - (-74)/(-22644). Let z = p + 0. Sort -2/9, -5, z, 2 in ascending order.
-5, -2/9, z, 2
Let c be (13 - (-645)/(-51))/(8/34). Put -5, 36, c in ascending order.
-5, c, 36
Let t(l) = -l + 14. Let f be t(11). Let s(b) = b**3 + 33*b**2 + 65*b + 93. Let n be s(-31). Suppose 0 = 2*i + 4*i - 24. Sort i, f, 2, n in descending order.
i, f, 2, n
Let n = 33378.9 - 33385. Put n, -0.06, -8 in descending order.
-0.06, n, -8
Let c = -3.0778 - -0.0778. Put -129, -2, c in increasing order.
-129, c, -2
Let f = -495 - -498. Let o = -257 - -1025/4. Put f, o, 0.1, -5 in descending order.
f, 0.1, o, -5
Let h = 2.641 - 2.7. Let n = h - 0.441. Put -2, 8, 1, n in descending order.
8, 1, n, -2
Let s = 699 - 1091. Let g = s - -383.83. Let i = g - -0.17. Put -2/3, i, -2/17 in descending order.
-2/17, -2/3, i
Let p = 1723 + -1723.4. Let h = 12.9258 + 0.2642. Let t = 0.19 - h. Sort t, 0.5, p in increasing order.
t, p, 0.5
Suppose 3*c + 4 = -2*p, -3*c - 2*p + 7*p - 11 = 0. Let k = 0.73859 + -0.78859. Put -3/5, c, -0.4, k in ascending order.
c, -3/5, -0.4, k
Let r = 73.04 + -77.04. Sort -0.4, r, 1/20, -44 in decreasing order.
1/20, -0.4, r, -44
Let y = 328 + -344. Let p = 12 + y. Sort -0.4, -8, p, 0.3.
-8, p, -0.4, 0.3
Suppose -p + 30 = 3*i, 36 = -0*i + 3*i - p. Sort -0.5, i, -0.84 in descending order.
i, -0.5, -0.84
Let d be (-82)/(-40) + -3 + (-13)/(-65). Sort 3, -4, -1, -0.5, d in decreasing order.
3, -0.5, d, -1, -4
Suppose 8 = -2*j, k = -k - 4*j + 170. Let r be (-14)/(-42) - (27/3 + 7)/3. Sort -4, k, r in decreasing order.
k, -4, r
Let h(r) = -5*r - 75. Let g be h(-14). Put g, -15, -1/6, -1/3 in descending order.
-1/6, -1/3, g, -15
Suppose 12*q + 500 = 2*q. Let z be 630/q*(-10)/3. Suppose 0 = z*p - 48*p + 24. Put -4, p, 2 in descending order.
p, 2, -4
Let n be (-2)/16 + (75117/2856 - 26). Sort 0.1, n, 1/2.
0.1, n, 1/2
Let f = 2859 - 2858.7. Sort -4.3, f, -2, -4.8 in descending order.
f, -2, -4.3, -4.8
Let c = -5395 + 5397. Let h(o) be the third derivative of 13*o**4/24 - 2*o**3 - 2*o**2. Let f be h(c). Sort f, 3, -2 in increasing order.
-2, 3, f
Let l be 1*((-28)/(-4))/7. Let f = -130.97 + 133. Let k = f + -0.03. Sort k, 5, l in decreasing order.
5, k, l
Suppose -24*k + 111 + 33 = 0. Suppose -10*w - 218 = -k*w - 2*a, 0 = -2*w - 2*a - 106. Put w, -3, 1 in descending order.
1, -3, w
Suppose 0 = 5*z - 166 + 186. Suppose 3*y = 3*w - 183, -2*y - 4*w = 251 - 99. Let g = -62 - y. Sort -14, g, 1, z in descending order.
g, 1, z, -14
Suppose s + 21 = -3*v, -57 + 51 = v. Let q be ((-2)/4)/((-84)/40 - -2). Sort q, -5, s, 3 in increasing order.
-5, s, 3, q
Let s = 35817 + -35821. Suppose -p - y = 9, p = -4*y - 16 - 5. Put 4, -3, p, s in decreasing order.
4, -3, s, p
Suppose 0 = -18463*t + 18496*t - 528. Sort 6/7, 1, 3/2, t.
6/7, 1, 3/2, t
Suppose -12*w - 11*w = -5*w. Let o be 6/(-9)*9/(-3). Suppose s - 10 = 6*s. Sort o, s, -4, w in decreasing order.
o, w, s, -4
Suppose -66 = y - 5*i, 5*y + 90 + 136 = -i. Let g = -39 - y. Suppose -2*s = 2*h - 18, -2*h = -3*s - 0 + g. Put -3, 3, h in ascending order.
-3, 3, h
Let w = 5553/4 - 1388. Put -2/3, -2/5, w, -92 in ascending order.
-92, -2/3, -2/5, w
Let t = -8 - -9. Let f be -2 - 1 - (t - 5). Let v = f + -2. Put v, -2, -4 in descending order.
v, -2, -4
Let p = -33092.3 - -33093. Sort p, -1/7, -2, 2 in decreasing order.
2, p, -1/7, -2
Let z = 50671 - 50671.02. Let k = 7 - 2. Sort z, 0, k in descending order.
k, 0, z
Let b be -1 - 30/(-4)*4. Let y = -26 + b. Suppose -y*c - 13 = -7. Sort -5, 4, c in increasing order.
-5, c, 4
Suppose -71*f = -76*f - 170. Let z = f + -40. Let u be z/14 - (5 - 10). Put -3/8, -1, u, 4 in decreasing order.
4, u, -3/8, -1
Suppose 2*a = 5*l + 28, -l = -0*l + 3*a - 8. Put 5, 0, l, 179 in descending order.
179, 5, 0, l
Let r be -3*((-56)/(-3))/(-4) - 3. Suppose -64*y + 75*y - r = 0. Sort 3, y, -13, -4.
-13, -4, y, 3
Let i be ((-58)/(-174))/(2/(-2)*(-5)/3). Put -9, -0.4, 3, -5, i in ascending order.
-9, -5, -0.4, i, 3
Suppose -5*o - 75 = -10*o. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
(-1 - 1 + 1)*(-y + 2*y + 379943 - 380855).
-y + 912
Expand (3*o**2 - 5*o**2 + o**2)*(27 + 255*o**2 - 256*o**2 + 2*o**3 + 49).
-2*o**5 + o**4 - 76*o**2
Expand (0*x + 0*x - 2*x**3)*(-1 + 1 - x**2) - 35*x**5 - 1061*x - 29*x**5 + 90*x**5 - 30*x**5.
-2*x**5 - 1061*x
Expand (-5*z + 5*z + 2*z**3)*(-z**2 - 2*z**2 + z**2) + 2*z**5 + 11*z - 11*z.
-2*z**5
Expand -2*s**2 + 4*s - 4*s + 3*s - 3*s - s**2 + (-3*s + 3*s + 2*s)*(-s + 2*s + s) + 10*s**2 - 16*s**2 + 58*s**2.
53*s**2
Expand (0 - 2 + 4)*(-22 + 32 - 29)*(z**3 - 5*z**4 - z**3).
190*z**4
Expand (2*z + 6*z - 5*z)*(9*z**2 + 2*z**3 - 9*z**2) + z**4 - z**4 + 2*z**4 + (0*z**2 + 0*z**2 - z**2)*(-z**2 + z**2 + 2*z**2).
6*z**4
Expand (4 - 1 - 6)*(3*b - 2*b + 0*b) - 2*b - 18*b - 30*b.
-53*b
Expand 148 - 6*x**4 - 165 - 36*x**4 - 3*x**4 + 3*x**4 - 2*x**4 + (0*x + 0*x + 2*x**2)*(3*x**2 - 2*x**2 + 0*x**2) + 2*x**2 - 2*x**2 + 2*x**4.
-40*x**4 - 17
Expand -3*u**5 + 5*u**5 + 0*u**5 + 9*u - 9*u - u**5 + (-u**3 - u**3 - 3*u**3)*(u**2 - 4*u**2 + 4*u**2) - u**5 + 4*u - 4*u.
-5*u**5
Expand -3*i**3 + 0*i + 0*i + (10*i + 0*i - i)*(-12*i**2 - 2*i**2 - 2*i**2).
-147*i**3
Expand (2*f - 2*f**2 - 2*f)*((-4 + 0 + 5)*(-8 + 58 + 39) - 7 + 1 - 2 + 3 - 3 + 1).
-164*f**2
Expand (-f - f - f)*(0*f - 4*f + 3*f) + 0*f + 2*f**2 + 0*f.
5*f**2
Expand -j**3 + 2*j**4 + j**3 + (0*j**2 + 3*j**2 + 0*j**2)*(2*j**2 - 2*j**2 - j**2) + 2*j**4 + 3*j**2 - 3*j**2 + (-1 + 1 - 3*j**3)*(j + 2*j - 4*j).
4*j**4
Expand (-4*a + 4*a - 2*a)*(-a**2 + 2*a**2 - 3*a**2) + (-a**2 + 2*a**2 + a**2)*(7*a + 9*a + 11*a).
58*a**3
Expand 143 - 2*a - 54 - 55 + 3*a - 3*a + 8*a + (2*a - 3*a + 3*a)*(-2 - 2 + 5) - 4*a + 0*a + 3*a.
7*a + 34
Expand 2*w - 12*w**3 + 10*w**3 + 2 + 4*w**3 + (-9 + 10 + 4)*(-5*w**3 + 3*w**3 + 3*w**3).
7*w**3 + 2*w + 2
Expand ((1 + 3 - 1)*(5 - 1 - 13) - 2 + 5 - 2)*(5*s - 5*s - 2*s)*(-3 + 3 + 2*s).
104*s**2
Expand -2*y**4 + 4*y**3 - 4*y**3 + (12 - 7 + 10)*(-y**3 + y**3 - y**4) + 3*y**2 - 3*y**2 - 2*y**4.
-19*y**4
Expand (167*c - 55 + 55)*(2*c**4 - 3*c**4 - c**4).
-334*c**5
Expand ((3*b + 0*b - 2*b)*(1 + 5 - 4) - 92*b - 74*b + 97*b)*(-4*b**4 + 0*b**4 + 2*b**4).
134*b**5
Expand (-31*l + 90*l - 20*l)*(-1 - 2*l + 1).
-78*l**2
Expand (3*v**2 + 0*v**2 - 4*v**2)*(-2*v + 3 - 3) + 371*v**3 + 176*v - 176*v.
373*v**3
Expand (-7*z - 7*z**2 + 7*z)*(25 + 30 + 4).
-413*z**2
Expand (-3 + 1 + 11)*(-1 + 4 - 1)*(-5 + 5 + 2)*(-37 + 36 - 4*r**2 + 7*r**2).
108*r**2 - 36
Expand b + 3 + 4 + 1 + (-1 + 0 + 2)*(0*b - b - b) - 3*b + b + b - b + 2*b + 0*b + b + b + 2*b - b + 4 - 4 + 2*b + 5 - 5.
4*b + 8
Expand (59*w**2 + 36*w - 65*w**2 - 27*w)*(-5 + 4 + 2*w - 3*w).
6*w**3 - 3*w**2 - 9*w
Expand (1 - 1 - l)*(-3*l**2 - l**2 + 2*l**2)*(-9*l - 35*l + 20*l).
-48*l**4
Expand (3 + 0 - 1)*(3*z - 2*z - 2*z) - 3 + 3 + 2*z + 11*z - 11*z + 3*z + (4 - 5 + 3)*(0*z - 2*z + 3*z) + 0*z + 0*z + z.
6*z
Expand (-2 + 3 - 3)*(452*j**2 - 452*j**2 - 37*j**3)*(2*j - 2*j - 2*j).
-148*j**4
Expand (2*g**2 + 1 - 1)*(0 - g**2 + 0) + (1551 - 1551 + 70*g**2)*(3*g**2 - g**2 + 3*g**2).
348*g**4
Expand (0 - 4 - 1)*(-10*h - 6*h + 22*h).
-30*h
Expand (4 + 87*q - 36*q - 36*q)*(5 - 5 + 2*q**2)*(-3 + 0 + 5)*(-3 + 7 + 6).
600*q**3 + 160*q**2
Expand (3*s**2 + 4*s**2 - 6*s**2)*(3*s + 11*s + 5*s).
19*s**3
Expand -4*w**3 + w**3 + 2*w**3 + (-2*w + w + 3*w)*(32*w**2 - 25*w**2 - 73*w**2).
-133*w**3
Expand (3*a + 0*a - 4*a)*(-86*a + 78*a + 190*a)*(0 + 2*a**3 + 0).
-364*a**5
Expand (402 - 122 + 168)*(-2*z**3 - z + z).
-896*z**3
Expand (1 - 3 - 1)*(-6*v + 2*v + 3*v + (2 - 3 - 1)*(-9*v + 7*v - 10*v)).
-69*v
Expand -4*y**5 - y**5 + y**5 + (2*y**5 - 5*y + 5*y)*(3 - 3 + 2)*(3 + 0 - 1)*(-3 - 5 + 2).
-52*y**5
Expand (-3 + 4 + 2)*(-63 - 1082*r + 73 - 10).
-3246*r
Expand (8 - 1762*l**2 - 3 + 1767*l**2)*(3*l - 4*l + 2*l)*(2 + 0 - 1).
5*l**3 + 5*l
Expand (0*k**3 + k**3 + k**3)*(3 - 3 - 25)*(-1 - 21 + 4).
900*k**3
Expand 9*a**3 - 19*a**3 + 0*a**3 - a**3 + 0*a**2 + 0*a**2 + (0*a + a - 2*a)*(-4*a**2 - a**2 + 2*a**2).
-8*a**3
Expand (2*z**2 - 3*z**2 + 0*z**2)*(-3*z + 2*z + 4*z) + 6 - 6 - 2*z**3.
-5*z**3
Expand q**2 - 3*q**2 - 4*q**2 - 4*q**2 + q**2 - 3*q**2 + (6*q - q - 4*q)*(q - q - q) + (-3*q + 4*q - 5*q)*(25 - 6*q - 25).
11*q**2
Expand (2 - 2 - 6*c + 11)*(0*c**3 - 5*c**3 + 3*c**3).
12*c**4 - 22*c**3
Expand (-355*w**3 - 86*w**3 - 78*w**3 - 564*w**3)*(w - w + 2*w**2).
-2166*w**5
Expand (-4*l + 2*l + 3*l)*(2*l + 1 - 1) - 14 + l**2 + 19 - 19*l - 4.
3*l**2 - 19*l + 1
Expand (7 + 109 + 192 + (1 + 1 + 0)*(2 + 1 - 2) - 2 + 1 + 2)*(0*s + 2*s + 0*s).
622*s
Expand (-2*l**3 + 3*l**3 + 0*l**3)*(-2091*l + 288*l**2 + 2091*l).
288*l**5
Expand (-1 + 1 - 2*q)*(-2*q**2 - 4 + 4) + 0*q**3 + q**3 + 0*q**3 - 4 + 4 + 5*q**3 + q**2 - q**2 + 4*q**3.
14*q**3
Expand (5*c - 5*c + 2*c)*(-22 + 9 + 15)*(-3*c - c + 2*c).
-8*c**2
Expand (-6 - 2 + 1)*((-13 - 20 - 15)*(-k + 4*k - 2*k) - 2*k + 1 - 1).
350*k
Expand 2*c**3 - 4 + 4 + 0*c**3 - c**3 + 2*c**3 + 67*c - 67*c + 13*c**3 + (-3*c**2 + 2*c**2 + 3*c**2)*(-2*c + 3*c - 3*c) + 0*c**3 + c**3 + 0*c**3 + c**2.
13*c**3 + c**2
Expand -2*a + 2*a + 2*a**5 + (-3*a**3 + 2*a**3 + 2*a**3)*(0*a**2 - 15*a**2 + 6*a**2) + 6*a**3 - 6*a**3 + 3*a**5.
-4*a**5
Expand (4 - 4 + 1)*(-5 + 5 - 3*w)*(1 + 0 + 1) + (-3 + 2 + 3)*(6*w - 7 + 7).
6*w
Expand ((-3 + 2 + 2)*(0 - 4 + 0) + (1 - 4 + 0)*(-3 - 5 + 5))*(-4*l + 5*l - 4*l).
-15*l
Expand -48 + 34 + 2*w**2 + 27 + (0*w + 0*w + w)*(-4*w + 10 - 10).
-2*w**2 + 13
Expand 4*l + 4*l - 6*l + (-l + 2*l - 3*l)*(1 - 1 - 2) + 1 + 5*l - 1 - 2*l - 3*l + 14*l + (5 - 5 - 1)*(l + 0*l - 2*l).
21*l
Expand (x**2 - 27*x + 6*x + 19*x)*(2 + 4*x**3 - 2).
4*x**5 - 8*x**4
Expand (0 + 1 + 0)*(-4*y + 4*y + y) + 6*y - 2*y - 2*y + 464 - 464 - 219*y.
-216*y
Expand 2*l**2 - 25*l - 17 + 0*l**2 + 24*l + (-3*l**2 - 10*l**2 - 9*l**2)*(0 + 0 + 2).
-42*l**2 - l - 17
Expand (d + 0*d - 2*d)*(-d + 2*d + 0*d) - 11*d**2 + 4*d**2 - 10*d**2.
-18*d**2
Expand (-m + m - m**2)*(1695*m - 613*m + 823*m + 480*m).
-2385*m**3
Expand -135*c**2 - 9*c + 65*c**2 + 65*c**2 + (-4*c + 2*c + 0*c)*(3*c + 0*c - c).
-9*c**2 - 9*c
Expand (2*m**2 - 9*m**2 - 3*m**2)*(162*m**2 + 13*m**3 - 162*m**2 + (-5*m**2 + 0*m**2 + 0*m**2)*(-m - 4 + 4)).
-180*m**5
Expand (26 - 710 + 58)*(2*l + 4*l - 5*l).
-626*l
Expand 2*g**5 - g**5 + g**5 + (g + 0*g - 2*g)*(8*g**4 + 12*g**2 - 12*g**2) + 0*g**5 + 3*g**5 - 5*g**5.
-8*g**5
Expand (4 - 4 + 2)*(-l - 3*l + 3*l + (3 - 2 + 1)*(8 - 8 + 3*l) + l - 5*l + 3*l)*(2*l**3 + 15*l**3 - 7*l**3).
80*l**4
Expand (4 - 2 - 1)*((-2 - f + 2)*(-4*f + 2*f + f) + 45 - 45 - 9*f**2 + 3*f**2 + 4*f**2 - f**2).
-2*f**2
Expand (15*z + 2*z + 10*z)*(6 - 16 + 6)*(-4 + 3 + 3).
-216*z
Expand 2*d**2 - 5*d**2 + 2*d**2 + (-4*d**2 + 2*d**2 + 4*d**2)*(-3 + 5 + 1) + 4*d**2 - 5*d**2 + 0 + 1 + (5*d + d - 5*d)*(-d + d - d).
3*d**2 + 1
Expand (-3*i**2 - 4*i**2 + 4*i**2)*(-i - 7*i - 5*i + (-5 + 3 + 1)*(5*i - i - 2*i)).
45*i**3
Expand (3 - 3 + 7)*(25*a**2 - 19*a - 24*a - 20*a**2).
35*a**2 - 301*a
Expand (20*q - 13*q - 10*q)*(2*q - 2*q - q - q + 4*q - q - 1 + 1 - 2*q + (q + 1 - 1)*(-1 + 1 - 1) + 0*q - 2*q + 0*q - 3*q - 2*q + 3*q + 3*q - 2*q + q).
12*q**2
Expand (3*z**3 - 2*z**3 - 3*z**3)*(-2*z**2 - 4*z**2 + 4*z**2) - 2542736*z**4 + 2542736*z**4 + 3781*z**5.
3785*z**5
Expand (-1 + 4 + 0)*(-6*f - 39 + 3*f - 9).
-9*f - 144
Expand (4*t**2 - 2*t - 3*t**2 + 562 - 584)*(-4 + 2 + 0)*(-1 + t + 1).
-2*t**3 + 4*t**2 + 44*t
Expand -3*w - 3 + 3 + (w + 1 - 1)*(-4 + 3 - 1) + (3 + 2 - 6)*(0*w + 3*w - w) - 2*w - 3 + 3.
-9*w
Expand (3 - 39 + 1)*(0 + 0 + g)*(4 - 3 - 2) + (4 - 2*g - 4)*(4 - 3 + 1).
31*g
Expand -8*z + 20*z + 0*z + (1 - 1 + 2)*(-2*z + 5*z - 2*z) + (-2 + 5 - 4)*(z + 0*z - 2*z) + 2 + 2*z - 2.
17*z
Expand -i + 2 - 2 + ((-5 + 3 + 0)*(2 + 3 - 2) + 4 - 4 + 3 - 2 + 4 - 4)*(3*i + 5 - 5).
-16*i
Expand (2*q - 4*q + 3*q + (2*q - 1 + 1)*(-3 + 2 + 2) + 0*q + q + q)*((0 - 1 - 1)*(0*q + q + q) + 0*q + 4*q - 2*q + 12*q + 24 - 6*q - 9*q).
-25*q**2 + 120*q
Expand (20 - 4*l - 20)*(1 - 5 + 2)*(3*l - 6*l + 5*l).
16*l**2
Expand (0*h**4 + 0*h**4 - h**4 + (-h - h + h)*(-h**3 - h**3 + 0*h**3))*(5 - 34*h - 4 + 36*h).
2*h**5 + h**4
Expand (h**3 - 5*h + 5*h)*(2*h**2 + 0*h**2 - h**2) + 4*h**4 + 2*h**5 - 4*h**4 + (-180*h**5 + 107*h**5 + 90*h**5)*(1 - 4 + 1).
-31*h**5
Expand 3*f**4 + 0*f**4 - 4*f**4 + 124*f**4 + 136*f**4 + 24 - 26 - 6*f**4 + 2*f**4 + 2*f**4 + (f**3 + 2*f**3 - 6*f**3)*(4*f - 3*f - 2*f).
260*f**4 - 2
Expa
|
{
"pile_set_name": "DM Mathematics"
}
|
y minutes are there between 5:42 AM and 12:42 PM?
420
How many minutes are there between 1:00 AM and 2:32 AM?
92
What is 707 minutes before 3:05 PM?
3:18 AM
How many minutes are there between 12:01 PM and 1:52 PM?
111
What is 10 minutes after 2:34 AM?
2:44 AM
How many minutes are there between 10:46 AM and 6:56 PM?
490
How many minutes are there between 11:09 PM and 3:23 AM?
254
How many minutes are there between 11:22 AM and 7:49 PM?
507
How many minutes are there between 12:57 PM and 3:13 PM?
136
How many minutes are there between 5:18 AM and 8:33 AM?
195
How many minutes are there between 12:57 PM and 11:07 PM?
610
What is 149 minutes after 1:18 AM?
3:47 AM
What is 703 minutes after 3:53 PM?
3:36 AM
What is 700 minutes before 12:42 PM?
1:02 AM
How many minutes are there between 8:24 AM and 8:18 PM?
714
What is 309 minutes before 2:38 AM?
9:29 PM
What is 36 minutes after 7:34 AM?
8:10 AM
How many minutes are there between 10:56 PM and 9:24 AM?
628
What is 546 minutes after 1:21 AM?
10:27 AM
What is 453 minutes before 3:31 AM?
7:58 PM
What is 581 minutes after 12:17 PM?
9:58 PM
How many minutes are there between 4:59 AM and 10:30 AM?
331
What is 669 minutes before 5:15 AM?
6:06 PM
What is 303 minutes after 7:31 PM?
12:34 AM
How many minutes are there between 9:43 PM and 4:46 AM?
423
How many minutes are there between 12:41 PM and 11:51 PM?
670
What is 260 minutes before 8:14 AM?
3:54 AM
What is 202 minutes before 2:43 AM?
11:21 PM
How many minutes are there between 4:57 AM and 7:09 AM?
132
What is 184 minutes before 4:06 AM?
1:02 AM
What is 101 minutes before 1:07 PM?
11:26 AM
What is 181 minutes before 12:10 AM?
9:09 PM
How many minutes are there between 1:19 AM and 1:25 AM?
6
How many minutes are there between 3:11 PM and 11:59 PM?
528
What is 420 minutes before 3:07 AM?
8:07 PM
How many minutes are there between 6:40 AM and 6:22 PM?
702
How many minutes are there between 11:20 PM and 7:21 AM?
481
What is 321 minutes before 3:16 AM?
9:55 PM
How many minutes are there between 12:50 AM and 10:45 AM?
595
What is 560 minutes after 4:55 AM?
2:15 PM
How many minutes are there between 3:32 AM and 10:51 AM?
439
What is 628 minutes after 4:21 AM?
2:49 PM
What is 315 minutes before 1:26 AM?
8:11 PM
How many minutes are there between 8:59 PM and 11:52 PM?
173
What is 136 minutes after 9:20 PM?
11:36 PM
How many minutes are there between 4:00 AM and 10:58 AM?
418
What is 552 minutes before 7:50 AM?
10:38 PM
What is 570 minutes after 1:14 PM?
10:44 PM
What is 573 minutes after 12:52 PM?
10:25 PM
How many minutes are there between 10:41 AM and 5:21 PM?
400
How many minutes are there between 8:41 AM and 12:10 PM?
209
What is 429 minutes before 1:29 AM?
6:20 PM
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678
What is 481 minutes before 7:10 PM?
11:09 AM
What is 535 minutes before 9:07 PM?
12:12 PM
What is 374 minutes after 7:39 PM?
1:53 AM
How many minutes are there between 3:16 PM and 5:31 PM?
135
How many minutes are there between 4:36 PM and 2:47 AM?
611
What is 394 minutes before 10:09 AM?
3:35 AM
How many minutes are there between 3:57 AM and 2:06 PM?
609
How many minutes are there between 9:05 PM and 2:10 AM?
305
What is 491 minutes before 11:23 AM?
3:12 AM
What is 40 minutes before 1:15 PM?
12:35 PM
What is 405 minutes before 10:27 PM?
3:42 PM
What is 344 minutes after 10:36 PM?
4:20 AM
What is 599 minutes after 5:58 PM?
3:57 AM
How many minutes are there between 7:24 PM and 3:45 AM?
501
What is 249 minutes before 9:23 AM?
5:14 AM
How many minutes are there between 11:24 PM and 11:03 AM?
699
How many minutes are there between 6:16 PM and 1:55 AM?
459
What is 153 minutes after 11:10 PM?
1:43 AM
What is 493 minutes after 5:51 AM?
2:04 PM
What is 132 minutes before 2:35 AM?
12:23 AM
What is 195 minutes before 3:11 PM?
11:56 AM
What is 692 minutes before 10:19 AM?
10:47 PM
How many minutes are there between 8:40 PM and 4:18 AM?
458
How many minutes are there between 3:06 AM and 5:13 AM?
127
How many minutes are there between 5:35 PM and 3:59 AM?
624
What is 423 minutes after 12:09 PM?
7:12 PM
What is 77 minutes before 3:32 PM?
2:15 PM
What is 525 minutes before 7:09 AM?
10:24 PM
How many minutes are there between 5:59 PM and 10:55 PM?
296
How many minutes are there between 2:47 PM and 10:47 PM?
480
What is 148 minutes before 12:07 AM?
9:39 PM
What is 661 minutes before 12:26 PM?
1:25 AM
What is 260 minutes after 7:28 PM?
11:48 PM
How many minutes are there between 4:51 AM and 6:02 AM?
71
How many minutes are there between 3:45 AM and 2:47 PM?
662
What is 636 minutes before 9:47 PM?
11:11 AM
How many minutes are there between 8:28 PM and 2:55 AM?
387
What is 576 minutes before 8:03 PM?
10:27 AM
What is 376 minutes before 11:59 PM?
5:43 PM
How many minutes are there between 7:05 PM and 8:21 PM?
76
What is 525 minutes before 4:34 PM?
7:49 AM
How many minutes are there between 3:54 AM and 10:07 AM?
373
How many minutes are there between 8:07 PM and 5:16 AM?
549
What is 504 minutes before 2:37 AM?
6:13 PM
What is 672 minutes before 4:28 AM?
5:16 PM
What is 88 minutes before 6:18 AM?
4:50 AM
How many minutes are there between 2:57 AM and 12:27 PM?
570
How many minutes are there between 4:06 PM and 5:23 PM?
77
What is 611 minutes after 11:32 PM?
9:43 AM
How many minutes are there between 4:22 PM and 12:24 AM?
482
How many minutes are there between 4:59 AM and 11:24 AM?
385
How many minutes are there between 8:13 PM and 6:22 AM?
609
How many minutes are there between 9:58 PM and 11:42 PM?
104
How many minutes are there between 2:08 AM and 11:07 AM?
539
How many minutes are there between 8:36 AM and 3:22 PM?
406
How many minutes are there between 11:27 AM and 6:01 PM?
394
What is 709 minutes after 8:15 AM?
8:04 PM
What is 508 minutes before 5:44 AM?
9:16 PM
How many minutes are there between 12:00 PM and 2:28 PM?
148
How many minutes are there between 6:49 AM and 6:22 PM?
693
How many minutes are there between 7:49 AM and 11:11 AM?
202
What is 583 minutes after 7:30 AM?
5:13 PM
How many minutes are there between 7:57 PM and 7:06 AM?
669
How many minutes are there between 10:46 AM and 1:15 PM?
149
How many minutes are there between 11:58 PM and 2:44 AM?
166
How many minutes are there between 5:06 AM and 4:49 PM?
703
How many minutes are there between 2:02 AM and 12:33 PM?
631
How many minutes are there between 12:51 PM and 8:16 PM?
445
How many minutes are there between 9:31 AM and 1:31 PM?
240
What is 142 minutes after 9:54 PM?
12:16 AM
What is 543 minutes after 5:59 PM?
3:02 AM
How many minutes are there between 7:24 AM and 3:32 PM?
488
What is 665 minutes before 2:14 PM?
3:09 AM
How many minutes are there between 4:34 PM and 6:10 PM?
96
How many minutes are there between 2:44 PM and 10:44 PM?
480
How many minutes are there between 9:45 AM and 3:08 PM?
323
What is 175 minutes before 11:32 PM?
8:37 PM
How many minutes are there between 12:54 PM and 5:14 PM?
260
What is 472 minutes after 5:21 PM?
1:13 AM
How many minutes are there between 8:31 AM and 4:13 PM?
462
How many minutes are there between 5:20 AM and 4:41 PM?
681
What is 246 minutes before 12:40 AM?
8:34 PM
What is 492 minutes before 4:31 PM?
8:19 AM
How many minutes are there between 1:08 PM and 1:52 PM?
44
What is 331 minutes after 2:12 PM?
7:43 PM
How many minutes are there between 3:17 AM and 7:08 AM?
231
What is 414 minutes before 11:27 AM?
4:33 AM
What is 496 minutes before 3:03 AM?
6:47 PM
What is 313 minutes before 9:12 AM?
3:59 AM
How many minutes are there between 6:18 AM and 9:11 AM?
173
What is 692 minutes before 12:42 PM?
1:10 AM
How many minutes are there between 9:25 PM and 1:50 AM?
265
What is 203 minutes after 6:15 PM?
9:38 PM
What is 110 minutes after 10:24 PM?
12:14 AM
How many minutes are there between 11:56 PM and 2:03 AM?
127
What is 560 minutes before 8:05 AM?
10:45 PM
How many minutes are there between 10:28 AM and 1:07 PM?
159
What is 414 minutes after 3:35 AM?
10:29 AM
How many minutes are there between 3:29 AM and 5:26 AM?
117
How many minutes are there between 6:02 PM and 10:39 PM?
277
How many minutes are there between 11:28 PM and 7:30 AM?
482
How many minutes are there between 8:33 AM and 2:40 PM?
367
How many minutes are there between 10:08 PM and 3:21 AM
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of 2*y**6/15 + 4*y**5/5 + 5*y**4/3 + 4*y**3/3 - 48*y. Factor p(h).
4*h*(h + 1)**2*(h + 2)
Let a(x) be the third derivative of -13*x**5/105 + x**4/21 + 4*x**2. Let a(q) = 0. What is q?
0, 2/13
Let c(j) be the first derivative of 2 + 1/4*j**2 + 1/12*j**3 + 0*j. Suppose c(r) = 0. What is r?
-2, 0
Factor -6*z**4 - z**5 + 10*z - 3*z + 5*z + 4*z**5 - 9*z**3 + 12*z**2.
3*z*(z - 2)**2*(z + 1)**2
Let m(b) be the second derivative of 3/2*b**5 - 2*b**2 + 0 - 3/10*b**6 + 10/3*b**3 - 37/12*b**4 - b. Factor m(x).
-(x - 1)**2*(3*x - 2)**2
Let r(p) be the second derivative of 16*p**6/15 - 4*p**5/5 - 7*p**4/6 - p**3/3 + 8*p. What is v in r(v) = 0?
-1/4, 0, 1
Let l(k) = 12*k**2. Let o be l(-1). Factor 12*c**3 + 18*c**2 + 7 + 3*c**4 - 1 - 2 - 1 + o*c.
3*(c + 1)**4
Factor -12*j**2 + 5*j - 18 - 2*j**2 + 23*j + 2*j + 2*j**3.
2*(j - 3)**2*(j - 1)
Let p(l) be the second derivative of -l**5/5 - l**4/3 + 9*l. Factor p(b).
-4*b**2*(b + 1)
Let f(v) be the second derivative of -v**6/135 - 2*v**5/45 + v**4/27 + 4*v**3/9 - v**2 - 4*v - 1. What is b in f(b) = 0?
-3, 1
Let q = 25/9 - 1/9. Let c(a) be the first derivative of -q*a**3 + 3*a**2 - a - 1. Find g such that c(g) = 0.
1/4, 1/2
Determine c so that 2/13*c**4 + 0*c - 2/13*c**5 - 2/13*c**2 + 0 + 2/13*c**3 = 0.
-1, 0, 1
Let i(q) = 5*q**3 - 5*q**2 + q. Let u(m) = -m**3 + m**2. Let n(r) = -4*i(r) - 22*u(r). Factor n(y).
2*y*(y - 2)*(y + 1)
Let q = -31 + 21. Let m be 190/150 - (-6)/q. Solve 1/3*x + m - 1/3*x**2 = 0 for x.
-1, 2
Let p(u) be the second derivative of 5*u**7/42 - u**6/3 + u**5/4 + 6*u + 1. Factor p(g).
5*g**3*(g - 1)**2
Let m(i) be the first derivative of i**9/1512 + i**8/210 + i**7/70 + i**6/45 + i**5/60 + 2*i**3/3 - 1. Let j(w) be the third derivative of m(w). Factor j(s).
2*s*(s + 1)**4
Suppose -2 = -2*f - 4*k + 3*k, 4 = -4*f - 4*k. Let t = f + -1. Let 0*w + 2/7*w**t + 0 + 2/7*w**3 = 0. Calculate w.
-1, 0
Let d be 14/(-28) - (-5)/6. Determine u, given that 1/3*u**2 - 1/3*u + d*u**3 - 1/3 = 0.
-1, 1
Let y(m) = 3*m**4 - 10*m**3 + 13*m**2 - 8*m. Let o(k) = 12*k**4 - 39*k**3 + 51*k**2 - 33*k. Let z(a) = 2*o(a) - 9*y(a). Factor z(v).
-3*v*(v - 2)*(v - 1)**2
Solve 0*h**2 + 0 + 1/2*h**3 - 1/2*h = 0 for h.
-1, 0, 1
Suppose c + 4*t - t - 16 = 0, -8 = -2*t. Suppose -2 = -5*h + c*h. Factor -h*i**4 + 0 - 7 - 26*i**2 + 12*i**3 + 24*i - 1.
-2*(i - 2)**2*(i - 1)**2
Let w(n) be the first derivative of n**6/33 - 4*n**5/55 - n**4/11 + 16*n**3/33 - 7*n**2/11 + 4*n/11 - 16. Solve w(d) = 0.
-2, 1
Let f(z) be the second derivative of -z**5/70 + 11*z**4/42 + 4*z**3/7 - z + 3. Find x, given that f(x) = 0.
-1, 0, 12
Factor -15/4*k**3 + 0 - 9/4*k - 3/4*k**4 - 21/4*k**2.
-3*k*(k + 1)**2*(k + 3)/4
Let v(w) = -6*w**3 + 6*w**2 + 2*w - 10. Let x(l) = -7*l**3 + 5*l**2 + l - 11. Let p(u) = -3*v(u) + 2*x(u). Let p(i) = 0. What is i?
-1, 1, 2
Let z(a) be the first derivative of -a**7/1260 + a**6/540 + 2*a**3/3 - 4. Let l(v) be the third derivative of z(v). What is q in l(q) = 0?
0, 1
Let o(n) = -3*n**3 - 9*n**2 - 13*n - 3. Let y(i) = 21*i**3 + 63*i**2 + 90*i + 21. Let a(x) = -27*o(x) - 4*y(x). Find s such that a(s) = 0.
-1
Suppose 4 - 46 = -2*k. Suppose 3*n - 5*o - k = 0, -n - 7 = -0*o + 3*o. Find j, given that 2/3*j**n - 4/3*j + 2/3 = 0.
1
Let h be (0 + -9)/3*-1. Factor -g**4 - 2*g**4 - 13*g**3 + 4*g**h + 12*g.
-3*g*(g - 1)*(g + 2)**2
Let i(f) be the second derivative of f**6/120 - f**5/20 + f**4/8 - f**3/6 - f**2 + 4*f. Let t(v) be the first derivative of i(v). Factor t(l).
(l - 1)**3
Suppose w - 6 = -0. Solve 3*h**2 - 2*h + 15*h**3 - 4*h**4 - 6*h**3 - 12*h**3 + w*h**2 = 0.
-2, 0, 1/4, 1
Let f(i) be the second derivative of i**6/900 - i**5/150 - i**3/3 + 2*i. Let u(o) be the second derivative of f(o). What is y in u(y) = 0?
0, 2
Factor -10 - 2*v - 15*v**2 - 3 - 25*v - v**3.
-(v + 1)**2*(v + 13)
Suppose 0 = -2*g + 3*z + 4, 3*g + z + 6 = 1. Let u(a) = -a**3 + 2*a + 1. Let b be u(g). Determine t so that 1/2*t**2 + 0*t**3 - 1/4*t**4 - 1/4 + b*t = 0.
-1, 1
Suppose -2*n + 3*q = -5, 9*n = 4*n - 3*q + 23. Find h, given that 2/11*h**3 + 0*h - 2/11*h**5 + 0*h**n + 0*h**2 + 0 = 0.
-1, 0, 1
Suppose -8 = -2*g - 0. Let y be g + 7/(14/(-8)). What is d in -6/5*d + 3/5*d**2 + y = 0?
0, 2
Let b = 11372/9 - 1262. Factor -b*k**2 + 4/9 + 10/9*k.
-2*(k - 1)*(7*k + 2)/9
Factor 0*y + y + y**3 + y**2 - 3*y**2.
y*(y - 1)**2
Let b(a) be the third derivative of -a**8/504 - a**7/45 - a**6/12 - 13*a**5/90 - a**4/9 - 5*a**2. Suppose b(z) = 0. Calculate z.
-4, -1, 0
Let l be (45/(-260))/(6/(-4)). Let j = l + 5/13. Suppose 1/4*c**2 + 3/4*c + j = 0. What is c?
-2, -1
Let v(c) be the first derivative of 6*c + 7 - 17*c**3 + 2*c**6 + 9/5*c**5 - 9/2*c**2 - 39/4*c**4. Factor v(o).
3*(o - 2)*(o + 1)**3*(4*o - 1)
Let d(y) be the second derivative of -1/4*y**2 - 1/40*y**5 + 1/24*y**4 + 0 + 1/12*y**3 - 5*y. Suppose d(f) = 0. Calculate f.
-1, 1
What is x in 12*x**2 + 4 + 2*x**3 + 2*x**2 + 15*x + 2*x**3 - x = 0?
-2, -1, -1/2
Let a = -18 - -22. Suppose -3*f**2 - 2*f**5 + 2*f**3 + f**2 + 4*f**a - 2*f**4 = 0. What is f?
-1, 0, 1
Let v(h) be the second derivative of h**5/5 + h**4/3 + 6*h. Factor v(z).
4*z**2*(z + 1)
Let n(p) be the second derivative of p**4/28 - p**3/14 - 3*p**2/7 + p. Let n(h) = 0. Calculate h.
-1, 2
Let a be 9/27*(-12)/(-50). Let b = 21/50 + a. Solve b*o**3 + 1/2 + 3/2*o**2 + 3/2*o = 0 for o.
-1
Let q(r) be the second derivative of -r**6/20 - 9*r**5/20 - 3*r**4/2 - 2*r**3 - 38*r. Factor q(s).
-3*s*(s + 2)**3/2
Suppose y**5 - 14*y**5 + 9*y**5 = 0. What is y?
0
Let u(t) be the third derivative of t**5/150 - t**4/30 - t**3/5 + 8*t**2. Let u(n) = 0. What is n?
-1, 3
Let y be (-16)/(-7) + 6/(-21). Find r such that -2*r**2 + r**2 - 4*r - r**y = 0.
-2, 0
Suppose -3*h + z + 13 = 5*z, -5*h = -3*z - 12. Find p such that -2 - 2*p**h + p**2 + p + 0*p + p + p**2 = 0.
-1, 1
Let t be ((-6)/(-8))/(24/16). Suppose 2*i - 2 - t*i**2 = 0. What is i?
2
Factor -6/7*c - 2/7*c**2 + 20/7.
-2*(c - 2)*(c + 5)/7
Let g(o) be the third derivative of -o**7/385 - o**6/20 - 9*o**5/22 - 81*o**4/44 - 54*o**3/11 - 34*o**2. Factor g(c).
-6*(c + 2)*(c + 3)**3/11
Let k(r) be the first derivative of 1 + 2/21*r**3 + 0*r + 0*r**2. Factor k(l).
2*l**2/7
Let x be (0 - (-40)/12) + 1 - 3. Factor 2/3 + x*p**2 + 5/3*p + 1/3*p**3.
(p + 1)**2*(p + 2)/3
Determine q, given that 2/13*q**3 + 2/13*q**2 - 2/13*q - 2/13 = 0.
-1, 1
Suppose 3*g - 53 = 2*o, 2*g = -2*o + 4*o + 38. Let z be ((-5)/g)/((-2)/12). Find a, given that 0*a**2 - 2*a**2 + 3*a**z = 0.
0
Let k(u) be the second derivative of 2*u + 1/4*u**4 + 1/2*u**2 + 0 - 1/20*u**5 - 1/2*u**3. Factor k(x).
-(x - 1)**3
Let g(h) = -h**2 - 7*h - 3. Let s be g(-6). Suppose 6/7*m**s + 0 - 4/7*m + 10/7*m**2 = 0. What is m?
-2, 0, 1/3
Solve 5*b**4 + 1/3*b**3 - 4*b**2 + 0 - 4/3*b = 0 for b.
-2/3, -2/5, 0, 1
Let g(t) be the third derivative of t**7/4200 - t**6/600 + t**5/200 + t**4/6 - t**2. Let z(v) be the second derivative of g(v). Factor z(j).
3*(j - 1)**2/5
Let o(u) be the third derivative of -u**7/10080 - u**6/480 - 3*u**5/160 - u**4/12 + 3*u**2. Let j(m) be the second derivative of o(m). Factor j(c).
-(c + 3)**2/4
Let f(q) be the third derivative of -q**7/1680 - q**6/480 + q**5/40 - 5*q**4/24 + 4*q**2. Let y(m) be the second derivative of f(m). Solve y(a) = 0 for a.
-2, 1
Factor -1/3*x**4 + 0*x - 4/3*x**3 + 0 - 4/3*x**2.
-x**2*(x + 2)**2/3
Let p(a) = 2*a**2 + 2*a - 21. Let b be p(-4). Factor -4/11 - 10/11*f - 8/11*f**2 - 2/11*f**b.
-2*(f + 1)**2*(f + 2)/11
Determine h so that 2/5*h**2 + 0 - 6/5*h = 0.
0, 3
Factor -2/19*s**2 - 162/19 + 36/19*s.
-2*(s - 9)**2/19
Let g be 0/(-2*-3*(-4)/12). Factor 3/5*j**3 + g + 0*j**2 - 3/5*j.
3*j*(j - 1)*(j + 1)/5
Let f = 130 + -130. Let d(i) be the third derivative of 0*i**4 - 3*i**2 + 0 + f*i + 1/30*i**5 - 1/3*i**3. Suppose d(l) = 0. What is l?
-1, 1
Let m = -207/4 - -52. Suppose m*a**4 - 1/4 + 0*a**2 + 1/2*a**3 - 1/2*a = 0. What is a?
-1, 1
Suppose v + 4 = -2. Let y be (-1)/2*(v + -2). Factor -1/2*p + 0 - 3/2*p**2 - 3/2*p**3 - 1/2*p**y.
-p*(p + 1)**3/2
Let d(f) be the first derivative of -2*f**3/3 - 2*f**2 - 6. Solve d(n) = 0.
-2, 0
Suppose -5*t - 43 = -2*z, 0*z = 4*z + 3*t - 21. Factor 1 - 7*d + z*d - d**2 - 3*d**2 + 5*d**2.
(d + 1)**2
Let j(t) be the first derivative of -t**5/25 + t**4/20 + t**3/15 - t**2/10 - 17. Factor j(o).
|
{
"pile_set_name": "DM Mathematics"
}
|
9*l**5/4 + 35*l**4/12 + 5*l**3/3 - 7*l - 38. Factor v(p).
5*p*(p + 1)**3*(p + 2)
Let d(f) be the first derivative of -f**4/10 - 658*f**3/15 - 5379*f**2 + 10890*f - 1240. Factor d(w).
-2*(w - 1)*(w + 165)**2/5
Let x(h) be the first derivative of -14*h**6/3 - 172*h**5/5 + 42*h**4 - 4985. Factor x(y).
-4*y**3*(y + 7)*(7*y - 6)
Factor -765/2*l - 2835/2 - 5/6*l**3 - 65/2*l**2.
-5*(l + 9)**2*(l + 21)/6
Let g = -36 - -42. Let m = g - 2. Determine h, given that -3*h**2 + 2*h - 20*h**4 + 5*h**2 - 7*h**3 - h + 24*h**m = 0.
-1/4, 0, 1
Let t be ((-6)/(-7))/2 + 3774/259. Find g, given that 3*g**3 - 2*g + t*g**2 + 3*g + 11*g = 0.
-4, -1, 0
Suppose -24*r + 747 = 699. Let 4/19*y**3 + 0 + 0*y + 2/19*y**r = 0. Calculate y.
-1/2, 0
Let v(q) = -5*q**5 - 17*q**4 - 59*q**3 - 117*q**2 - 108*q - 38. Let c(r) = 2*r**5 + 2*r**4 - r**2 + 1. Let x(i) = 10*c(i) + 5*v(i). Let x(k) = 0. Calculate k.
-6, -3, -2, -1
Let q(m) be the first derivative of 5*m**4/4 + 2920*m**3/3 + 5825*m**2/2 + 2910*m + 1388. Determine a, given that q(a) = 0.
-582, -1
Let 0*i + 0*i**2 - 12/7*i**5 + 80/7*i**4 - 48/7*i**3 + 0 = 0. What is i?
0, 2/3, 6
Let w(f) = -166*f**2 + 206*f + 684. Let r(o) = -48*o**2 + 68*o + 228. Let d(p) = 7*r(p) - 2*w(p). Factor d(c).
-4*(c - 19)*(c + 3)
Let h(i) = 277 + 112563*i - 49 - 112569*i. Let j be h(38). Determine m so that -2/11*m**5 - 4/11*m**4 + 2/11*m**3 + j + 0*m + 4/11*m**2 = 0.
-2, -1, 0, 1
Suppose -3*s - 8 = -2*c, -2*c = 17*s - 22*s. Factor -1/2*d**3 + 7/2*d**2 + 3 + 13/2*d - 1/2*d**s.
-(d - 3)*(d + 1)**2*(d + 2)/2
Factor -172 + 1030/3*a - 512/3*a**2 - 2/3*a**3.
-2*(a - 1)**2*(a + 258)/3
Suppose -1280*h + 1225*h + 165 = 0. Let m(i) be the second derivative of 2/15*i**h + 22*i - 1/60*i**4 + 0 - 3/10*i**2. Factor m(j).
-(j - 3)*(j - 1)/5
Let h(c) be the second derivative of 1/84*c**7 + 0*c**3 + 1/20*c**6 - 10*c - 9/40*c**5 + 0 + 5/24*c**4 + 0*c**2. Factor h(t).
t**2*(t - 1)**2*(t + 5)/2
Let p(u) be the first derivative of -u**6/8 + 333*u**5/20 + 675*u**4/16 + 113*u**3/4 + 4343. Find z such that p(z) = 0.
-1, 0, 113
What is w in -2442/5*w + 2/5*w**2 - 4892/5 = 0?
-2, 1223
Let j = -262/3 - -88. Let k = -16333 - -16336. Find g, given that 0 - 4/3*g + 2*g**2 - j*g**k = 0.
0, 1, 2
Let a(o) be the second derivative of -11 + 3*o - 3/2*o**2 - 3/4*o**4 - 3/2*o**3 - 3/20*o**5. Suppose a(h) = 0. Calculate h.
-1
Let a = -1119959/120 - -9333. Let o(u) be the third derivative of a*u**5 + 26*u**2 - 5/48*u**4 + 1/3*u**3 + 0*u + 0. Factor o(h).
(h - 4)*(h - 1)/2
Let g = 4686 - 4686. Let q(i) be the third derivative of 49/3*i**3 + 21*i**2 + 7/6*i**4 + g + 0*i + 1/30*i**5. Find p, given that q(p) = 0.
-7
Let m = 30221 + -30219. Factor 686/9*s**5 + 0 + 128/9*s**m + 0*s + 392/3*s**4 + 224/3*s**3.
2*s**2*(7*s + 4)**3/9
Suppose -361 = -131*k - 99. Let p(c) be the third derivative of 0*c - 7/12*c**4 + 0 - 1/15*c**5 + 1/60*c**6 - 4/3*c**3 + 13*c**k. Factor p(h).
2*(h - 4)*(h + 1)**2
Let n(x) be the first derivative of -x**5/50 + 13*x**4/40 - 41*x**3/30 + 47*x**2/20 - 9*x/5 - 1620. Factor n(z).
-(z - 9)*(z - 2)*(z - 1)**2/10
Let f be (30/(-660))/(0 + (161/168 - 1)). Solve f*d**2 - 16/11*d + 0 - 2/11*d**3 = 0 for d.
0, 2, 4
Let o(p) be the first derivative of 1/3*p**4 - 3*p**2 - 8/15*p**5 - 78 - 1/9*p**6 + 0*p + 8/3*p**3. Factor o(i).
-2*i*(i - 1)**2*(i + 3)**2/3
Let z(i) = -i**3 - 12*i**2 - 22*i + 38. Let j(g) = -3*g**2 + 63*g + 1 - 21*g - 22*g - 21*g. Let d(o) = -j(o) - z(o). Suppose d(r) = 0. What is r?
-13, -3, 1
Let o(m) = 6*m**3 - 10*m**2 - m + 15. Let d(a) = -a**3 - a**2. Suppose -3*z - 5 + 35 = 0. Let c(v) = z*d(v) + 2*o(v). Let c(s) = 0. Calculate s.
-1, 1, 15
Let t be -3*(-3)/63 - 11764/28. Let b = t + 423. Factor 0*q + 0 - 5/2*q**4 - 5*q**b - 5/2*q**2.
-5*q**2*(q + 1)**2/2
Suppose 10 = 2*d - 0. Factor 11*z**3 - 43*z**4 - 5*z**2 + 9*z**3 + 28*z**4 - 5*z**3 + 5*z**d.
5*z**2*(z - 1)**3
Suppose -18 = 2*t - 4*x, -39 = 4*t - 3*x - 33. Determine c, given that -1/2*c**4 - 1/3*c + 1/6*c**t + 0 + 1/6*c**5 + 1/2*c**2 = 0.
-1, 0, 1, 2
Factor 78/11*c + 2/11*c**3 + 42/11*c**2 + 38/11.
2*(c + 1)**2*(c + 19)/11
Let x = -3312 - -3312. Let v(j) be the second derivative of 12*j - 1/315*j**7 + x*j**3 + 0*j**2 + 0 + 0*j**4 + 0*j**6 + 0*j**5. Factor v(d).
-2*d**5/15
Let x = -112713880929/57968113 - -2/3409889. Let n = 1945 + x. Factor n*h - 2/17*h**3 + 6/17*h**2 + 4/17 - 2/17*h**4.
-2*(h - 2)*(h + 1)**3/17
Let d(r) be the first derivative of 4*r**3/3 - 602*r**2 + 3576*r - 716. Factor d(g).
4*(g - 298)*(g - 3)
Let y = 275/274 - -68/137. Find s such that -3/2*s**2 - y*s**4 + 0 + 4*s**3 - s = 0.
-1/3, 0, 1, 2
Let n(r) be the third derivative of -r**7/13860 + r**6/660 - 3*r**5/220 - r**4/12 - r**3/3 + 177*r**2. Let j(g) be the second derivative of n(g). Factor j(s).
-2*(s - 3)**2/11
Let j(y) be the first derivative of 0*y**3 - 3/5*y**2 + 3/10*y**4 + 14 - 3/25*y**5 + 3/5*y. Factor j(c).
-3*(c - 1)**3*(c + 1)/5
Suppose 0 = -4*p - 5 + 13. Suppose 18*j - l = 22*j - 6, -3*j - 4*l = p. Factor 0 + 2/5*u - 2/5*u**j.
-2*u*(u - 1)/5
Suppose p = -8*n + 16, 3*n + 21070*p = 21068*p + 32. Suppose -1/5*f**2 + 22/5*f + n = 0. What is f?
0, 22
Suppose 251*d**2 - 3*d**5 + 168*d**3 + 9*d**2 - 159*d**4 + 64*d**2 = 0. Calculate d.
-54, -1, 0, 2
Let l(a) = -8*a**2 + 843*a - 844. Let v(d) = -29*d**2 + 3371*d - 3375. Let r(w) = -33*l(w) + 9*v(w). Let r(t) = 0. What is t?
-841, 1
Factor 0*x - 20/7*x**4 + 0*x**2 + 2/7*x**5 + 48/7*x**3 + 0.
2*x**3*(x - 6)*(x - 4)/7
Suppose 26 = -2*z - s + 4*s, -2*s + 17 = -3. Solve 0 + 6/5*b + 2/5*b**z = 0 for b.
-3, 0
Let w(b) be the second derivative of b**6/6 + 87*b**5/4 + 5045*b**4/6 + 4550*b**3 + 8820*b**2 - 1158*b. Solve w(o) = 0.
-42, -2, -1
Factor 3*u**3 + 85*u + 12*u**2 - 56*u - 4*u - 61*u.
3*u*(u - 2)*(u + 6)
Let k(u) be the third derivative of -52*u**2 + 3/2*u**4 + 1 + 0*u + 1/20*u**5 - 13/2*u**3. Factor k(z).
3*(z - 1)*(z + 13)
Let t be ((-46)/(-14) + -2)*42/12. Let c be 524/29 + (8080/580 - 14). Factor -24*m - c*m**2 - t*m**3 - 32/3.
-(3*m + 4)**3/6
Let w(n) = n**3 + 2*n + 2. Let t(r) = -r**3 - 477*r**2 + 25273*r - 446639. Let g(v) = -t(v) - 4*w(v). Determine d, given that g(d) = 0.
53
Let m(b) = 7*b**2 + 387*b - 808. Let k(u) = u**2 - 3*u. Let q(d) = 3*k(d) - m(d). Suppose q(j) = 0. Calculate j.
-101, 2
Let s(q) be the third derivative of -q**7/210 + 4*q**6/15 + 17*q**5/15 - 37*q**2 + 32. Factor s(y).
-y**2*(y - 34)*(y + 2)
Factor 488 - 489 + 31*d - 3364*d**2 + 39*d + 46*d.
-(58*d - 1)**2
Let h(j) = 2*j**3 - 49*j**2 - 25*j + 9. Let z be h(25). Let n be (z + -5 - -4) + -6. Find r such that 0*r + r**n - 9/4*r**4 - 4*r**3 + 0 = 0.
-2, 0, 2/9
Let b(i) be the second derivative of 21*i**6/40 + 13*i**5/6 + i**4/6 - 4*i**3/3 + 30*i**2 + i + 29. Let h(v) be the first derivative of b(v). Factor h(m).
(m + 2)*(7*m + 2)*(9*m - 2)
Let d(m) be the third derivative of 31*m**8/126 - 6*m**7/35 - 233*m**6/720 - m**5/8 - m**4/72 + m**2 - 122*m. Solve d(x) = 0 for x.
-1/4, -2/31, 0, 1
Let a be (24760/24141)/(8/26). Factor a*y + 0 - 1/3*y**2.
-y*(y - 10)/3
Let t(w) be the third derivative of -w**6/48 - 859*w**5/240 + 43*w**4/48 + 2*w**2 + 3014*w. Let t(l) = 0. What is l?
-86, 0, 1/10
Let z(a) = a**2 - 4*a - 4. Let d be z(8). Suppose 3*c = c + 4*q + 14, d = 4*c + 5*q. Factor c*s**2 - s**4 - 7*s**2 + 2*s**3 - s**3.
-s**3*(s - 1)
Let j(h) = -417*h + 1255. Let t be j(3). Let l(s) be the third derivative of 0 - 1/70*s**5 + 0*s + 1/7*s**3 + 14*s**2 + 1/56*s**t - 1/280*s**6. Solve l(o) = 0.
-2, -1, 1
Let a(b) be the third derivative of 0*b**3 + 0 + 64*b**2 - 5/6*b**4 + 0*b - 23/30*b**5 + 1/12*b**6. Find l, given that a(l) = 0.
-2/5, 0, 5
Suppose 4*s = -3*q + 7, -2*s - 3*q - 13 = -3*s. Factor -35*z**3 - 4*z**s + 20*z + 15*z**2 + 31*z**3 - 4*z - 32 + 9*z**2.
-4*(z - 2)*(z - 1)*(z + 2)**2
Let z(o) be the third derivative of -o**6/240 - o**5/24 - o**4/24 + 2*o**3/3 + 49*o**2 + 8*o. Factor z(k).
-(k - 1)*(k + 2)*(k + 4)/2
Let x(s) be the third derivative of -s**5/120 - 7*s**4/36 - s**3/4 - 2*s**2 + 128. Factor x(g).
-(g + 9)*(3*g + 1)/6
Let n(w) be the second derivative of -w**4/30 - 48*w**3/5 + 450*w + 2. Suppose n(s) = 0. Calculate s.
-144, 0
Let a(w) = 3*w**2 - w - 2. Let f be a(-1). Let 0*h**2 - 12773 - 175*h + 3*h**f + 57*h**2 - 5*h**3 + 12893 = 0. What is h?
1, 3, 8
Suppose 5*c - 4*o - 21 + 5 = 0, -20
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, q, -4/3 in increasing order.
-4, -3, -4/3, q
Let n = 1727 - 1727.2. Put -0.015, 1, 2, n in descending order.
2, 1, -0.015, n
Suppose 9*f - 84 = 5*f. Let b be (6/(-9))/(0 + 2/f). Put 0, b, -5 in descending order.
0, -5, b
Suppose -6*a - 10*a + 48 = 0. Let f = -2 + -3. Let p(u) = -12*u - 70. Let o be p(-6). Sort f, a, o in increasing order.
f, o, a
Suppose 0 = -5*g - 5*u - 10 - 10, -u - 10 = 3*g. Put g, 0, -2, 5 in decreasing order.
5, 0, -2, g
Let v = -3 + 1. Let w = -48 - -41. Let z = -4 - w. Sort -10, v, z in increasing order.
-10, v, z
Let r(a) = 9*a + 13*a**2 + a**3 + 20 - 4*a**2 + 3*a. Let p be r(-8). Sort -4, p, -2.
p, -4, -2
Let r = -0.5004 - -0.1004. Put 2/3, 8, r, 0.2 in increasing order.
r, 0.2, 2/3, 8
Let d = 17.7 - 17.2. Sort d, -1/6, 3.7, 3 in descending order.
3.7, 3, d, -1/6
Let n = -76 - -155/2. Let y be ((-17)/5)/1 - -1*4. Let m = -34 - -25. Sort y, m, n in decreasing order.
n, y, m
Let u be (12/(-9))/((-87)/(-9) - 9). Sort u, 3, 4, -1 in increasing order.
u, -1, 3, 4
Let g(w) = w**2 - 7*w + 7. Let v be g(6). Let u(r) = -r**3 + 9*r**2 + 37*r + 2. Let z be u(-3). Sort v, -4, z, 23 in ascending order.
-4, z, v, 23
Let f = 51 + -48. Suppose f*h + 13 = -2. Sort h, 5, 0, 2.
h, 0, 2, 5
Suppose 3*x + 18 = 2*t, -5*t + 3*t + 26 = -5*x. Suppose 0*i = -3*i + 5*r - 17, -3*i - r - 11 = 0. Put i, -1, t in descending order.
t, -1, i
Let l(o) = 16*o - 10. Let k(r) = 3*r - 2. Let m(d) = -11*k(d) + 2*l(d). Let u be m(-13). Suppose 2*n - u = 7*n. Sort n, -1, 3 in descending order.
3, -1, n
Suppose 10 = -0*z + z. Let h(i) = 11*i + 4*i**2 + 3 - 3*i**2 + z*i - 18*i. Let v be h(-4). Sort 4, -5, v in decreasing order.
v, 4, -5
Let h = 2600 - 2605. Let i = 4 - 1. Put 4, 0, h, i in decreasing order.
4, i, 0, h
Let v be 3*(((-22246)/315)/14 - -5). Sort -3, 16, v in increasing order.
-3, v, 16
Suppose -7 = -2*i - n, -5*n + 13 = 4*i - 5*i. Suppose 5*q = -27 + 7, -2*t + 2 = -i*q. Put t, 0, 3, 5 in descending order.
5, 3, 0, t
Let q = -5.95 - -6. Let k = -0.95 - q. Let f = k + 5. Put f, -2, -1/7 in decreasing order.
f, -1/7, -2
Suppose 0 = 3*h + 15 + 21. Let l be (24/(-39))/(-2)*(-6)/h. Let y = 236/9 + -26. Put l, -0.3, y in ascending order.
-0.3, l, y
Let b = 0.1 + 0.4. Let w = -129 + 257. Let g = 892/7 - w. Sort b, -2, g in decreasing order.
b, g, -2
Let v be ((-7)/(-14))/(2/12*3). Let s(h) = -3*h**3 - 5*h**2 + h - 8. Let x(u) = u**3 + u**2 - u + 1. Let g(w) = s(w) + 4*x(w). Let q be g(3). Sort 3, v, q.
v, 3, q
Let a(b) = -b**3 - 8*b**2 + 2*b + 25. Let v be a(-8). Put -19, v, 5, -2 in increasing order.
-19, -2, 5, v
Suppose 3*g - 4*t - 52 = 0, 3*g - 106 = -2*g - 3*t. Let f = g + -20. Sort f, -1, -3 in ascending order.
-3, -1, f
Suppose 0*w = 4*w - 140. Put -1, 5, w in ascending order.
-1, 5, w
Let t = -0.078 + 4.078. Sort -12, t, -1.
-12, -1, t
Suppose -3*r + 7 = -5. Let z be 1/(9 - 9/2). Sort -0.4, 2, r, z in decreasing order.
r, 2, z, -0.4
Suppose 4*f = 6*u + 4, -10*f = 4*u - 6*f + 36. Sort 4, 29, -3, u in ascending order.
u, -3, 4, 29
Let l = -635 + 641. Sort 0, 9, l in decreasing order.
9, l, 0
Let j = 29 - 25. Suppose n - j = -4. Put -2, -15, -5, n in decreasing order.
n, -2, -5, -15
Let x = -7 - -5. Let n = -1 + x. Let h = 7 - 12. Sort h, -1, n.
h, n, -1
Let a = 2805/4 + -701. Let o be ((-488)/6)/((-21)/(-18)). Let k = o - -70. Sort k, 2, a in descending order.
2, k, a
Suppose -5*x + 3*q = -11, x - 6*x + 35 = 5*q. Sort 3, x, -4.
-4, 3, x
Let f be 3/(-12) + (-18)/(-8). Let h(b) = b**3 - 7*b**2 - 2*b + 1. Let k be h(0). Sort -1, f, k in descending order.
f, k, -1
Suppose 3*a - 19 = w, -5*w = 2*a - 0*a - 24. Suppose -g = -2*g + 4. Sort a, 0, g in descending order.
a, g, 0
Let n(x) = x**2 - 10*x - 8. Let g be (55/(-15))/(2/(-6)). Let w be n(g). Let j(v) = v**3 - 4*v**2 + 3*v - 1. Let b be j(w). Sort b, 4, 1.
b, 1, 4
Let i(m) = 25*m - 76. Let p be i(3). Put p, -0.022, -2/11, 4 in decreasing order.
4, -0.022, -2/11, p
Let v = -16.985 + 0.085. Sort -1/4, v, 0.7.
v, -1/4, 0.7
Let c = 998 - 970. Sort c, 5, 0, 2 in increasing order.
0, 2, 5, c
Let g(a) = -a**3 + 1. Suppose -3*m - 2*v + 2 = -m, -2*m - 5*v + 5 = 0. Let f be g(m). Sort -3, 1/9, f in decreasing order.
f, 1/9, -3
Suppose x = 13*d - 8*d + 50, 0 = -3*d + 3*x - 30. Sort 1, 5, 0, d in ascending order.
d, 0, 1, 5
Suppose -21*d = -26*d + 20. Let y be 3*((-5)/d)/((-27)/(-36)). Sort y, 10, -3 in decreasing order.
10, -3, y
Suppose 0 = -8*q + 14*q - 60. Put q, 13, 4 in descending order.
13, q, 4
Let t(b) = 2*b - 5. Let z be t(4). Suppose 0 = -z*w - w + 4*c + 8, -4*c = -5*w + 8. Put -1, w, 4 in decreasing order.
4, w, -1
Suppose -2*u = -7*u - 2*v + 12, 5*u = 5*v + 5. Sort 1, -5, u, -1 in descending order.
u, 1, -1, -5
Let w be 1552/(-194) - (-4 - 5). Suppose 7*q = 4*q + 12. Suppose q = r + 2. Put w, 11, r in ascending order.
w, r, 11
Let m = -371 + 366. Put -14, m, 2 in descending order.
2, m, -14
Let k = 160 - 161. Sort 4, -3, 5, k in descending order.
5, 4, k, -3
Let y = 0.021 - 0.047. Let m = 0.026 + y. Sort m, 0.4, -4 in increasing order.
-4, m, 0.4
Let f = 955 + -954. Sort f, -3, -0.02, 5.
-3, -0.02, f, 5
Let r = -192 - -191. Sort r, -5, -3, 19.
-5, -3, r, 19
Let s be -10 - -5*2/(-5). Let h be (-8)/s*(-3)/(-1). Suppose 0 = -4*v - h*f + 22, -f = 2*f - 15. Sort 11, -2, v in ascending order.
-2, v, 11
Let b(r) = 2*r**2 + 8*r + 11. Let i be b(-3). Put 7, 2, 4, i in increasing order.
2, 4, i, 7
Let p(r) = r - 5. Let c be p(9). Suppose -c*o = -5*o - 3. Let l(n) = n**2 - 7*n + 4. Let y be l(5). Sort -2, y, o in descending order.
-2, o, y
Let c(y) = 2*y - 2. Let l be c(5). Suppose 4*o = 3*n + l, 3*n + o - 21 = -n. Let x(h) = h**3 + 7*h**2. Let i be x(-7). Sort -3, i, n in descending order.
n, i, -3
Suppose 2*c - 5*c = 15. Let j be (-74)/14 - (c + 33/7). Suppose 3*p + 4*w - 15 = 0, -3*w = -3*p - 0*p - 6. Sort 3, p, j in increasing order.
j, p, 3
Let r = 17 + -12. Let b be (39 + -38)*(-2)/(-9). Sort r, -5, b, 4 in increasing order.
-5, b, 4, r
Let v be 40/10 + -2 + 0. Suppose 2*i - i = -v. Put -0.1, 0.16, i in decreasing order.
0.16, -0.1, i
Suppose -5*n + 27 = -4*n. Let z be 207/n - 2/(-6). Suppose -4*q = -3*c + 23, -c = c + q - z. Put c, 1, -2 in descending order.
c, 1, -2
Let y(u) = -u**3 + 3*u**2 + 3*u + 2. Let p be y(4). Let j(a) = -a**3 + 10*a**2 + 2*a - 9. Let w be j(10). Let r = w - 10. Sort -4, p, r.
-4, p, r
Let f be ((-9)/16*-2)/((-120)/(-40)). Sort -0.1, 0.289, f.
-0.1, 0.289, f
Suppose -121*m + 115*m = 18. Let v(o) = -o**2 + 3*o + 3. Let a be v(3). Suppose 4 - 1 = -a*h. Sort m, 4, h in descending order.
4, h, m
Let m = 6 - 12. Let j(y) = y**2 + 8*y + 11. Let v be j(m). Let k be 4/14 + (-52)/(-14). Sort k, v, 2.
v, 2, k
Let i = -98.6 - -99. Let u = 2 + -6. Sort i, u, 0.2, -13 in descending order.
i, 0.2, u, -13
Let w = 37 - 32. Suppose -4*y + 5*y + 2 = 0. Let d = 636 - 9542/15. Sort y, w, d in decreasing order.
w, d, y
Let b(r) = -2*r**3 - 14*r + 15. Let a be b(1). Sort 6, a, -4, 5.
-4, a, 5, 6
Let w = -272 - -821/3. Sort w, 4, 0.036.
0.036, w, 4
Let s = -265.91 + 275. Let z = 0.09 - s. Let r = 14 + z. Put r, -0.4, -3/5 in descending order.
r, -0.4, -3/5
Let o = 31 + -91/3. Let r be 210/(-63)*(-16)/60. Put 1/5, r, 2, o in ascending order.
1/5, o, r, 2
Let v = -21/2 + 9. Let b(z) = -10*z - 260. Let p be b(-26). Put p, 2/15, v in decreasing order.
2/15, p, v
Let m be ((-104)/(-130))/((-2)/5). Put 16, m, -5 in descending order.
16, m, -5
Let p = 0.1 + -0.24. Let v = 0.24 + p. Let c = v - 0.6. Sort -3, c, 1 in ascending order.
-3, c, 1
Let c = -0.6 + -1.4. Let n be ((-3)/5)/((-6)/(-90)). Let j = n + 17/2. Sort j, c, -5 in ascending order.
-5, c, j
Suppose -2*d + 4*m - 12 = 2*d, -2*d - 5*m + 22 = 0. Suppose 0 = 11*k + 10 + 12. Sort k, 13, d in decreasing order.
13, d, k
Let u(j) = -5*j + 33. Let s be u(7). Let l be 8/(-16)*2*s. Put -2, -4, 4, l in decreasing order.
4, l, -2, -4
Let a be 62/(-31) + 1 + (-4)/(-6). Put 0, -4, a, -0.02 in increasing order.
-4, a, -0.02, 0
Let k(u) = -u**2 + 5*u + 2. Let l be k(6). Suppose 5*c - 35 = 4*s, -4*c + 3*s + 0 + 27 = 0. Let h(w) = 2*w - 4. Let v be h(c). Sort l, v, 3 in ascending order.
l, v, 3
Let v(x) = -3*x + 30. Let k be v(-5). Sort k, 1, 5.
1, 5, k
Let f = 54.05 + -55. Let c = f - -0.75. Put c, 2/13, -1/10, 17 in decreasing order.
17, 2/13, -1/10, c
Let
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{
"pile_set_name": "DM Mathematics"
}
|
2 + 4 + r + -3. Put 5, -5, b in increasing order.
-5, b, 5
Let a(b) = b**3 + 9*b**2 + 4*b + 20. Let v be a(-9). Let h be v/18 - 1/9. Sort 1.3, h, 0.4.
h, 0.4, 1.3
Let h be (2/(-7))/((-6)/14). Let x be (-1 - 0)*2/4. Sort 5, h, x.
x, h, 5
Suppose 0 = 5*m + 7 + 13. Let t(x) = 3*x. Let q be t(1). Suppose q*p = -p. Sort -6, m, p in descending order.
p, m, -6
Let t(c) = 3*c**3 - 2*c**2 + 2*c - 1. Let o be t(1). Suppose 3*i - 9 = -l, l + 2*i = -l + o. Sort l, 0, -9 in decreasing order.
0, l, -9
Let z = 586 - 585.7. Let u(c) = -c + 3. Let v(f) = f - 3. Let k(x) = -3*u(x) - 4*v(x). Let h be k(2). Put h, z, -2 in decreasing order.
h, z, -2
Let o be (-8)/(-6)*861/(-14). Let n = 85 + o. Put -1/2, -2/11, n, -2 in descending order.
n, -2/11, -1/2, -2
Let p be 16/(-3756)*2/4. Let o = 5624/4695 - p. Let f = 0.55 - 4.55. Sort o, f, 1.
f, 1, o
Let f be (-12 - (-244)/20)*-3. Put -4, 0.1, f, -1.3 in descending order.
0.1, f, -1.3, -4
Suppose 0 = 123*c + 227*c - 590 + 2340. Let r be (-2)/8 + 6/(-8). Sort 3, r, c, 1 in decreasing order.
3, 1, r, c
Let n be 10/8*(-1 - -5). Suppose -3*i + 12 = -i. Let k be 2/i - 20/(-12). Put n, k, -4 in descending order.
n, k, -4
Suppose 0 = -9*c + 10 + 26. Sort 0, 5, -6, c in decreasing order.
5, c, 0, -6
Suppose -g - 4 = g. Let n be 112/(-6) - 1/3. Let w = 26 + n. Put w, -5, g in decreasing order.
w, g, -5
Suppose -j - 5 = 0, -11*k + 108 = -10*k + j. Sort -4, k, 2 in decreasing order.
k, 2, -4
Suppose 62 = 8*q - 18. Suppose -25 = 5*l - q. Put l, -4, -1/12, -0.2 in decreasing order.
-1/12, -0.2, l, -4
Let x be (-2)/(-24) + (-70)/6*8/(-32). Let l = 6 + -10. Sort -3, l, x, -1 in descending order.
x, -1, -3, l
Let h = -2.22 - 1.78. Put 2, 5, h, 3/2 in increasing order.
h, 3/2, 2, 5
Let v be 2 - (-4)/(-2) - -2. Let d be 4 + -3 + (v - -1). Suppose -3*z - 5*w - 15 + 3 = 0, 0 = -z - w - 4. Sort 0, z, d in increasing order.
z, 0, d
Let u be 1*(-2 + 1 + -2). Let o(q) = -2*q - 15. Let r be o(-10). Let v = -4 + 3. Put r, u, v in decreasing order.
r, v, u
Suppose 58 = 2*b - 20. Let r be (-13)/(b/18) - -1. Sort r, 2, -2.
r, -2, 2
Suppose 0*w = 4*w - 4*t, -w - 8 = -3*t. Suppose -2*b - 4*a + 0 = -16, -3*b - a + w = 0. Sort -15, b, -2.
-15, -2, b
Let h be ((-15)/10)/(((-3)/6)/(-1)). Sort -26, 4, h, -1.
-26, h, -1, 4
Let x be 8/(-286) + 2/(-13). Let n = 0.681 + 0.219. Put x, n, -3 in ascending order.
-3, x, n
Let f be (40/25 + -2)*(-60)/8. Put 1, 4, f, -12 in increasing order.
-12, 1, f, 4
Let o be ((-2541)/(-63))/(2/(-2)). Let j = 41 + o. Put 1/4, 4, j, 5/3 in increasing order.
1/4, j, 5/3, 4
Let a = -109 - -108. Let j be ((-5)/3 + 1)*-3. Sort -3, a, j in ascending order.
-3, a, j
Suppose 4 = -n - 2*k, -n + 3*n = 3*k - 1. Suppose -2*f - 7 = -13. Suppose -f*u + 2 = 5*y + 4, 0 = -3*u - 12. Sort -4, n, y in decreasing order.
y, n, -4
Let j = 23 - 18. Let w be -1*(-18)/(-6)*4/6. Put -0.3, j, w in ascending order.
w, -0.3, j
Let s = 891 + -894. Sort s, -0.08, -1/6, 2 in descending order.
2, -0.08, -1/6, s
Let f(v) = v + 4. Let a be f(8). Suppose -17*c = -20*c + a. Let b = 200/7 + -29. Put -0.3, c, b in increasing order.
b, -0.3, c
Let r(y) = 5*y**3 - y - 3. Let l be r(2). Let v = -39 + l. Put -11, v, -3, 3 in descending order.
3, -3, v, -11
Suppose -5*z - 153 + 128 = 0. Sort 0, -58, z, -2 in decreasing order.
0, -2, z, -58
Let c = 0.4 - -1.1. Let s = c - -0.5. Let x be 1/6*(1 - -1). Sort x, -3, s in increasing order.
-3, x, s
Suppose -4*q + 2 = 5*t, -7 = 5*t + 3. Suppose -q = 2*n + 7. Sort n, -2, -8, 2.
-8, n, -2, 2
Let i be 6 + 28/(-4) + -2 + 4. Sort 4, i, 0, 3.
0, i, 3, 4
Suppose 9 = -14*j + 11*j. Let v(p) = -58*p**2 + 2 - 5*p + 3 + 59*p**2. Let a be v(5). Sort a, 3, j.
j, 3, a
Let u = 14831/12 + -1235. Let o = 5/12 - u. Let n = 110 + -879/8. Put o, n, 0 in increasing order.
o, 0, n
Let m(l) = 2*l - 13. Let x be m(3). Let j(q) = q**3 + 7*q**2 - 8*q + 8. Let w be j(-8). Sort 3, -3, x, w in descending order.
w, 3, -3, x
Let j = -0.211 + 0.17. Sort 1, j, -2 in ascending order.
-2, j, 1
Suppose 2*a + 48 - 56 = 0. Put 2, 3, -3, a in ascending order.
-3, 2, 3, a
Suppose 0*w = w + 5*n - 16, -2*w + n - 1 = 0. Sort w, -3, -68 in decreasing order.
w, -3, -68
Suppose -3 + 1 = 2*y. Suppose 29 = 6*f - 13. Sort f, -4, y in decreasing order.
f, y, -4
Let q(w) = w**3 - 14*w**2 + 24*w. Let g be q(12). Let f = g + -4. Sort f, 1, 4 in decreasing order.
4, 1, f
Let z(v) = 2*v + 91. Let u be z(0). Let i = u - 817/9. Let w(q) = q - 8. Let f be w(8). Put f, 5, i in increasing order.
f, i, 5
Let m be (10 + 38/(-4))*-2. Let k be 1/(1/5 - 0). Sort m, -17, k in increasing order.
-17, m, k
Suppose 3*m = 5*m + 12. Let p(l) = 3*l + 12. Let u be p(m). Suppose -v - 4*v - 10 = 0. Put v, u, 5 in increasing order.
u, v, 5
Suppose 419 - 404 = 3*d. Sort 3, 22, d, 3/4 in increasing order.
3/4, 3, d, 22
Let q be 12/(-5 + 1) + 105/49. Let n(s) = s**2 + 4*s + 4. Let z be n(-4). Sort 0.5, z, 2, q in descending order.
z, 2, 0.5, q
Suppose 0*v = -2*v. Let c be (-4 - 2)*(-15)/(-6) - -10. Let s = -1 - 0. Put v, c, s in descending order.
v, s, c
Suppose -36*h + 12 = -33*h. Let q = 15 - 10. Sort 0, q, h in decreasing order.
q, h, 0
Let x = 591 + -586. Put x, -1, -6/13, 1/2 in decreasing order.
x, 1/2, -6/13, -1
Let q = 4.32 + -4.19. Sort -6, q, 1 in decreasing order.
1, q, -6
Suppose -t = -812 + 178. Let g be (-6)/8 - t/(-856). Let w = g - 205/963. Sort 2/3, w, 4 in increasing order.
w, 2/3, 4
Suppose -5*o = -112 + 32. Suppose 2*k - q = -3 + o, -2*q = 2*k - 16. Suppose -3*c + 4*s + s = -5, 0 = 4*c - 5*s. Sort k, 3, c in increasing order.
c, 3, k
Let d(l) = 2*l**2 - l + 3. Let b be d(3). Suppose 4*v - o = 53 - 10, v = 3*o + 8. Let z = v - b. Sort 2, 0, z in ascending order.
z, 0, 2
Let k = -1506 + 1501. Let b = -6.6 - 1.4. Let t = -5 - b. Sort k, t, 3/4 in decreasing order.
t, 3/4, k
Let b(m) = -m**2 - 2*m + 1. Let x be b(1). Suppose -4*r + 3*s = 19, -3*r - 3*s + 5*s = 14. Let i be (-1)/(2*9/72*(-5 + 1)). Put r, i, x in ascending order.
r, x, i
Suppose n = -0*p + 4*p - 6, -5*n + 5*p - 30 = 0. Let s = n + 4. Let d be ((-5)/s)/5*4. Sort -5, d, 6.
-5, d, 6
Let s be (-504)/896*(-4)/(-6). Sort -0.1, -4, s, 3/2 in descending order.
3/2, -0.1, s, -4
Let t(s) = s**2. Let d(p) = -p**2 - p - 6. Let n(g) = d(g) + 4*t(g). Let o be n(3). Let v = o + -15. Put -5, -1, v in decreasing order.
v, -1, -5
Let j be -2*(5 + 2) - 2. Let c be ((-6)/4)/((-12)/j). Let b = 7 + c. Sort 0, b, -5 in descending order.
b, 0, -5
Let p = 0.8 - 1.3. Let u = -31 + 127/4. Put p, u, 2 in ascending order.
p, u, 2
Suppose -12 = -5*j + 8. Suppose -j*u = u. Let r be 3 - (4 - 0) - 3. Sort u, 3, r in ascending order.
r, u, 3
Let q = -1.3 + 1.7. Let f = -7.21 + 7.31. Sort 17, f, q in decreasing order.
17, q, f
Let b(g) = -g**2 - 12*g - 34. Let w be b(-7). Let z = 0.05 + 0.05. Sort w, z, -0.2, -0.1 in descending order.
w, z, -0.1, -0.2
Suppose 0 = -0*f - 2*f + 2. Let s = 2 - 2. Suppose -3*a - a = s. Put f, a, -1 in decreasing order.
f, a, -1
Let j = 290 - 286. Sort -4, j, -16 in increasing order.
-16, -4, j
Let k(b) = b + 10. Let r(d) = d**3 + 4*d**2 + d + 6. Let y be r(-4). Let f be (y/4)/((-2)/20). Let x be k(f). Put 2/15, x, 1/3 in decreasing order.
x, 1/3, 2/15
Let v(w) = -4*w - 3. Let h be 0 + -3 + 3/3. Let a be v(h). Sort a, -2, 6 in decreasing order.
6, a, -2
Let g be ((-20)/(-18) - 2)*(-21)/(-28). Suppose 5*b - 9 - 12 = r, 0 = 3*b - 5*r + 5. Put g, b, 0.4 in decreasing order.
b, 0.4, g
Let u(m) = -m. Let c be u(1). Suppose -5*b = -2*b - 15. Suppose 3*f - 4 = -0*g - b*g, -f + 2 = 2*g. Put g, 4, c in increasing order.
c, g, 4
Suppose -1 = -5*d - 4*q, 2*d - q - 3 = -0*q. Suppose 0 = 4*l - 3*u - 25, -2*l - 5*u - 5 = 2. Put d, l, -2, -3 in ascending order.
-3, -2, d, l
Let s(j) = j + 43. Let y be s(26). Suppose -5*o + 74 - y = 0. Sort 0, 3, o in increasing order.
0, o, 3
Suppose 5*b = -4 - 1. Let a be -3*(-4)/(-8)*(-10)/3. Sort 3, a, b in descending order.
a, 3, b
Suppose 12*n - 103 = 17. Suppose 8 = 2*p - n*p. Put 0.1, 1/4, p in decreasing order.
1/4, 0.1, p
Suppose 3*h = -2*h + 5*f - 5, 5*h - 4*f = -9. Let v be (-1*2 + 7)*(h - -4). Sort 2, -20, v.
-20, v, 2
Let u be 1/1 + 11 - -2. Let r = 19 - 29. Let o = u + r. Sort 1, 5, o.
1, o, 5
Suppose 2*z - 62 = 4*p, 0 = 3*p - 5*p - 3*z - 11. Let t = p - -16. Suppose 8 = -5*q + t. Sort 8, -2,
|
{
"pile_set_name": "DM Mathematics"
}
|
-424*p + 1. Let y be n(-1). Suppose y = 2*q + 3*q. Calculate the greatest common factor of c and q.
17
Let b(n) = -n**2 - 6*n - 1. Let r be 5*(-2 - -1) - 0. Let j be b(r). Calculate the highest common factor of 6 and j.
2
Let b = -81 - -155. Suppose 4*t = w + b + 10, -4*t + 72 = 2*w. Calculate the highest common factor of t and 50.
10
Let c(p) = p**3 + p + 416. Let x be c(0). Suppose x = 4*q - 160. Calculate the highest common divisor of 16 and q.
16
Let u = 11 + -2. What is the greatest common factor of u and 6?
3
Suppose -h = -5*h - 3*u + 45, 2*u - 50 = -4*h. Let y(g) = 12*g + 9. Let m be y(8). Calculate the greatest common factor of h and m.
15
Let o be (40/(-15))/((-4)/30). Suppose -o = -v + 35. What is the highest common divisor of v and 22?
11
Let v be (-3)/12 - (-8834)/8. Suppose -5*z - 4*c = -v, 3*c = -5*z - 0*c + 1108. Suppose o - z = -o. Calculate the highest common divisor of o and 14.
14
Suppose 6*w = 299 + 79. What is the highest common divisor of w and 21?
21
Let g(f) = 9*f. Let v be g(1). Suppose 6*r + 26 = 2*r - 2*i, -5*r - 31 = 2*i. Let m be (-21)/r*(11 + 4). What is the greatest common divisor of m and v?
9
Let k = 3 + 19. What is the highest common divisor of 242 and k?
22
Suppose 0 = a - 24 + 14. Let v(s) = 26*s - 2. Let q be (2/4)/(3/12). Let l be v(q). What is the greatest common factor of l and a?
10
Let q be (0 + 0/(-1))/1. Let h be (q - 1) + (6 - 3). Suppose 5*u - 8 = h. What is the highest common factor of 14 and u?
2
Let v = -90 + 118. What is the highest common factor of 84 and v?
28
Let i = 153 - 58. Let t = i - 68. Calculate the greatest common divisor of 9 and t.
9
Suppose 5*m = 3*r + 77, 4*r = -m + r + 19. Calculate the greatest common factor of m and 16.
16
Suppose 2*v - 18 = v. Calculate the greatest common factor of 30 and v.
6
Let z(w) = w + 17. Let o = 4 - 3. Let j = o + -1. Let v be z(j). What is the highest common divisor of 119 and v?
17
Let f(o) = -3*o**3 + o**2. Let h be 1 + -3 + (1 - 0). Let x be f(h). Suppose -2*n - 5*i = -1, n + x*i - 5 = -2*n. What is the highest common divisor of n and 3?
3
Suppose 4*c + 5*n - 89 = 0, 4*c + 4*n + 0*n = 84. Calculate the greatest common divisor of c and 48.
16
Suppose 0 = -4*a - 4*j + 832, -208 = -a + 4*j - 6*j. What is the highest common divisor of 26 and a?
26
Suppose 5*w - 90 + 420 = 0. Let b = w + 129. What is the greatest common divisor of b and 7?
7
Let v(g) = -g**2 + 18*g - 28. Let s be v(14). What is the greatest common factor of s and 308?
28
Suppose -2*s + 15 = -25. Calculate the greatest common factor of 50 and s.
10
Let w be -1*5/(5/(-6)). Let l = 20 - -4. What is the highest common divisor of l and w?
6
Suppose 108 = -0*f + 3*f. Let w(j) = -j**3 - 11*j**2 + 11*j - 8. Let b be w(-12). What is the greatest common factor of b and f?
4
Suppose -4*n - 11 = -b, -9*b + 4*b + 19 = -2*n. Suppose -s + b*s + 4*g = 22, -45 = -3*s - 3*g. Calculate the greatest common divisor of s and 133.
19
Let u be 2*-1*(-3 - 1). Let f be (205/5)/((-2)/(-4)). Suppose v = f + 6. Calculate the highest common factor of v and u.
8
Suppose -3*k + 0*t - 3*t = 372, 2*k = -t - 252. Let p be (10/8)/((-2)/k). Suppose 7 = i - 25. Calculate the highest common divisor of p and i.
16
Let r be (2/5)/(2/330*1). Calculate the greatest common divisor of 6 and r.
6
Suppose c - 16 = -3*c. Calculate the greatest common factor of c and 2.
2
Let p = -38 - -159. Let c be (-4)/2 - -13*1. What is the greatest common factor of c and p?
11
Let c be (-6)/8 - 118/(-8). Suppose 5*v - 181 - c = 0. Let j = 67 - v. Calculate the greatest common factor of 4 and j.
4
Let j be (15 + -27)/((-2)/(1 + 1)). Suppose 0 = 2*q + 24 - 72. Calculate the greatest common divisor of q and j.
12
Suppose -3*q + 4*w = -7*q + 24, 3*w = -5*q + 22. Suppose -q*g + 17 = 3*m, -3*m - 5*g = -4 - 7. What is the greatest common factor of 1 and m?
1
Let d be -3 + (1 - (-3 - -1)). Suppose 5*f - 4*h - 33 = d, f - 2*h = h. Let p = -27 + 45. What is the greatest common divisor of f and p?
9
Suppose -4*x = 3*d - 997, 5*d - 6*x + 2*x - 1619 = 0. Let p = -96 + d. Calculate the highest common divisor of 21 and p.
21
Let a be (-5)/20 - 82/(-8). Let y = -67 - -157. What is the greatest common divisor of y and a?
10
Suppose 18 = 2*j - 0*j. What is the greatest common factor of j and 9?
9
Let t = 55 - -50. Calculate the greatest common factor of t and 15.
15
Let l(k) = k**3 + k**2 + k. Let c be l(0). Suppose c = 3*a - 179 - 124. Let m = 151 - a. Calculate the highest common factor of m and 20.
10
Let t(f) = f**2 + 9. Let q be t(0). Suppose y - 18 = -0*y. What is the greatest common divisor of q and y?
9
Let a be (-3)/(-12) - 198/(-8). Let o(t) = t - 3. Suppose 3*p + 38 = 4*h, h = -4*h + 5*p + 50. Let x be o(h). What is the highest common factor of x and a?
5
Suppose 6*r = 2*r. Suppose s = -r*s + 15. Let n(b) = -b**3 - 7*b**2 + 7*b - 5. Let p be n(-8). Calculate the greatest common divisor of p and s.
3
Suppose 0 = 3*p - 3*d - 237, -3*p + 126 = 5*d - 79. What is the greatest common divisor of p and 30?
15
Let v = -21 + 23. Suppose 3*l = 9, -8 = -d + 3*l + v*l. Calculate the highest common divisor of d and 23.
23
Suppose 0 = 4*w - 7*w. Suppose -5*a + w*a + 360 = -3*h, 4*a + 5*h - 288 = 0. Calculate the greatest common divisor of 24 and a.
24
Suppose -37 = -2*q + 29. Let p(f) = f**2 + 2*f + 3. Let l be p(-4). What is the highest common divisor of q and l?
11
Suppose -4*u + 16 = -0. Calculate the greatest common divisor of 20 and u.
4
Let l be (-7)/(28/16) + 68. Calculate the highest common divisor of l and 96.
32
Suppose w - 5*p - 30 = 15, -4*w + 161 = -p. What is the greatest common factor of w and 4?
4
Let d be (-119)/(-4) + 1/4. Let y = 6 - 4. Suppose 7*l = y*l + d. What is the greatest common divisor of l and 42?
6
Suppose 5 + 5 = -5*g. Let m = g - -7. Let y = -21 + 23. Calculate the highest common factor of y and m.
1
Suppose -7625 = 2*t - 7*t. Suppose 0*i = -5*i + t. Suppose v + 2*d - 85 = 7*d, i = 5*v + 5*d. What is the highest common factor of 26 and v?
13
Let q be (-5)/(25/(-153)) + (-6)/10. What is the greatest common divisor of q and 15?
15
Let d be 3 - (-3)/6*4. Suppose 0 = -2*m + d*m - 147. Let s = 9 - 2. What is the highest common divisor of s and m?
7
Let y be -108*4/18*-3. Suppose 0 = -2*d - d + 84. Suppose -2*n + s + 2*s + d = 0, 8 = -n - 4*s. What is the greatest common factor of y and n?
8
Let w be (-1)/((-1)/4*1). Let o be (-765)/(-7) - w/14. Suppose -4*h + 131 + o = 0. What is the highest common factor of 12 and h?
12
Let f be 2/(-4) + (-330)/(-44). Calculate the greatest common divisor of f and 70.
7
Suppose b = 110 + 132. Calculate the greatest common divisor of b and 22.
22
Suppose -2*n + 30 = 3*n. What is the greatest common divisor of n and 54?
6
Let u be (-10 - 1)*(-1 - 15). What is the highest common divisor of u and 16?
16
Let p be (-1)/2 - (-1158)/12. Suppose -i = -3*i + p. Let z be 20/(-3)*12/(-10). What is the greatest common divisor of z and i?
8
Let i(s) = 2*s**2 - s - 3. Let u be i(3). Let t(a) = 6*a**2 - 3*a + 24. Let f be t(4). Calculate the highest common factor of f and u.
12
Let k be 9/6*(-84)/(-9). Suppose -6*x + x = -q - 630, -2*q - 630 = -5*x. Calculate the highest common factor of x and k.
14
Let v = 13 - 5. Calculate the highest common divisor of v and 64.
8
Let j(v) = -v + 14*v + 9*v. Suppose -3*f + 5 = -5*n + n, 1 = -f + 2*n. Let a be j(f). What is the greatest common divisor of a and 14?
14
Let j = 5 + 1. Let g be -2 + (4 - 2)*j. Calculate the greatest common factor of 30 and g.
10
Let n be (-4)/(-8)*1/((-2)/(-36)). Calculate the highest common divisor of 144 and n.
9
Let g = 11 + -7. Let j(y) be the second derivative of y**3/2 - 3*y**2/2 - y. Let l be j(g). Calculate the greatest common factor of 9 and l.
9
Let t(w) = 0*w**3 + 3*w**3 + w - 2 + 6*w - 4*w**2 - 3*w. Let z be t(2). Calculate the highest common factor of z and 56.
14
Let i = -5 - -20. Let z(j) be the second derivative of j**4/6 + j**3/3 - j**2 + 2*j. Let k be z(-3). What is the highest common factor of k and i?
5
Suppose 0 = -t - 1 + 2, 4*t + 68 = 4*u. Let j be 2/(-5) - ((-910)/25 + 0). What is the greatest common divisor of j and u?
18
Suppose 0 + 8 = h. What is the highest common factor of h and 8?
8
Let x be 363/12 - (-2)/32*-4. What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
ose 0 = 4*l - 37 + 1. What is the greatest common factor of 3 and l?
3
Suppose -2*d - 11 = -3*d. Calculate the greatest common divisor of d and 121.
11
Let o(z) = -z**3 - 2*z**2 + z + 6. Let y be o(-3). Calculate the greatest common divisor of 20 and y.
4
Suppose 5*n + 3*q - 424 - 932 = 0, -3*n - 5*q = -820. What is the greatest common divisor of n and 30?
30
Let x = 4 + -19. Let u be (-292)/(-6) + 10/x. Calculate the greatest common factor of 12 and u.
12
Let t = -71 - -129. Let o = t + -34. What is the highest common divisor of o and 8?
8
Suppose 3*z + 259 = 1099. Suppose -z = -4*h - h. Calculate the highest common factor of 8 and h.
8
Suppose 0*s = 3*s - 216. What is the highest common divisor of 8 and s?
8
Let m = 3 - -4. What is the greatest common divisor of 35 and m?
7
Let c = -228 - -425. Suppose -c = -6*p + 307. What is the greatest common factor of 12 and p?
12
Suppose -3*f - i = -6*f + 551, 0 = -f - 3*i + 167. Let h = 77 + -51. Calculate the greatest common divisor of f and h.
26
Suppose 4*x - 65 = 5*r, -3*x - r + 0*r + 25 = 0. Let j = 23 - x. What is the highest common divisor of j and 104?
13
Suppose 13 = 3*w + 1. Let l(j) = 6*j + 8. Let p be l(w). What is the highest common divisor of 48 and p?
16
Let k be 5/25 + 29/5. Let h(b) = b**2 - 7*b + 15. Let l be h(6). What is the greatest common factor of k and l?
3
Let p = 12 + -4. Let h be -7*(-2 - -4)/2. Let j = h - -11. Calculate the highest common divisor of j and p.
4
Suppose -2*v - 3*v = 0. Let l = 1 - v. What is the highest common factor of l and 2?
1
Let l be (27/(-2))/(-3)*2. Suppose b = -b + 4. Let g be (-1086)/(-15) - b/5. What is the highest common divisor of g and l?
9
Suppose 2*q = -c - 4, 0*c - c + 31 = -5*q. Suppose h + h - 6 = 0. What is the highest common factor of c and h?
3
Let z(f) = f**2 - 18*f - 17. Let p be z(21). Calculate the highest common factor of 368 and p.
46
Let u(y) = 4*y + 1. Let f = 13 - 7. Let j be u(f). Let x = j + -7. Calculate the greatest common divisor of x and 27.
9
Suppose -3 = -z - 1. Suppose 0 = -z*n - 4*k + 16, k - 4 = -3*n - 5. Let q = n - -17. Calculate the highest common factor of q and 60.
15
Let p = -15 - -9. Let l be 9/p*(-44)/3. What is the greatest common factor of l and 11?
11
Let n = -573 + 989. Suppose -n = -l - 3*l. Let m(q) = q + 5. Let o be m(8). Calculate the greatest common divisor of l and o.
13
Let i = 19 - 17. Let z(y) = 5*y - 1. Let u be z(i). Calculate the greatest common divisor of u and 63.
9
Suppose -15 = -3*v + 27. Calculate the highest common factor of 42 and v.
14
Let w = 7 + -4. Let k be (-29 + 2)/(w/(-4)). What is the highest common factor of 9 and k?
9
Let x(r) = -9*r - 1. Suppose -3*f = -4*f - 1. Let o be 1*f*(-1 - -2). Let g be x(o). What is the greatest common divisor of g and 72?
8
Let s be 0 + 1 + -2 - -5. Suppose p + 4 - 20 = 3*v, 5*p = -2*v + 46. Calculate the greatest common divisor of p and s.
2
Let y be 273/(-2)*(76/(-12) + 5). Calculate the greatest common factor of y and 26.
26
Let k be 20/2*(-8)/(-20). Suppose -k*h = -59 - 5. Let v = 15 - -49. What is the greatest common divisor of h and v?
16
Suppose u + 3*u + 4*j = 344, -12 = 3*j. Let h = 13 + -16. Let l be -2 + (-54)/h + -1. What is the highest common divisor of l and u?
15
Let g = 4 - 0. Let c be 1/g - (-21)/12. Calculate the highest common divisor of 1 and c.
1
Let u = 137 - 29. Calculate the greatest common divisor of 48 and u.
12
Let o = 3 - -1. Calculate the greatest common factor of o and 44.
4
Let p = 207 - -112. Let n = -193 + p. What is the greatest common factor of 18 and n?
18
Let y(w) = 6*w - 9. Let z be y(12). Suppose 4*k - 6*k + 18 = 0. Calculate the greatest common factor of k and z.
9
Let b(m) = m**3 + 9*m**2 - 6*m + 8. Let w = -9 - -4. Let k(h) = -h**2 - 3*h + 2. Let l be k(w). Let g be b(l). What is the greatest common factor of 48 and g?
24
Suppose 0 = 6*m - 7*m + 143. Calculate the greatest common factor of 11 and m.
11
Suppose -13 = -4*l + 15. Suppose 3*q + q = 308. Calculate the highest common divisor of q and l.
7
Let q be 41 + -1 + -2 + 1. Let y = -4 + 30. Suppose i - 2*i + y = 0. What is the highest common divisor of i and q?
13
Let d(q) = q**2 - q. Let m be d(-1). What is the highest common factor of 22 and m?
2
Let j be (-2)/(-6) + 20/12. Suppose j*n - 15 = n. Let q = -4 - -19. What is the highest common divisor of q and n?
15
Let n = 57 + -31. Calculate the highest common factor of n and 13.
13
Let t(z) be the second derivative of 11*z**4/6 + z**2 + 2*z. Let i be t(-2). Let f = 16 - -20. Calculate the highest common factor of i and f.
18
Let t = 56 - 46. Let w(n) = -2 + n + n**2 + 5*n - 5*n. Let y be w(2). What is the greatest common divisor of t and y?
2
Let m(h) = -h - 12. Let o be m(-7). Let w(d) = -d**3 - d**2 + 6*d + 5. Let y be w(o). Let p = 185 - y. Calculate the greatest common factor of 10 and p.
10
Let q(p) = 6*p**2 + p + 6. Let f be (-4)/18 - 188/(-36). Let g be q(f). Let z = g + -51. What is the greatest common factor of z and 10?
10
Let n be (-12)/8*160/6. Let x be 128/n*110/(-4). What is the greatest common factor of x and 11?
11
Suppose 0 = k + k - 16. Let t = -4 + 16. What is the highest common factor of k and t?
4
Let z be 1/(-4) - 132/(-16). Let a = z - -4. What is the highest common divisor of 4 and a?
4
Let q be 1 - 2 - (-127 - 0). Let r(n) = 4*n - 6. Let s be r(5). Calculate the greatest common divisor of s and q.
14
Let w(h) = h**3 + 19*h**2 + 49*h + 18. Let p be w(-16). Calculate the greatest common factor of p and 38.
2
Let z = -12 + 21. Calculate the highest common divisor of 99 and z.
9
Let y(z) = -z**3 + 9*z**2 - 2*z - 31. Let o be y(7). What is the highest common factor of 424 and o?
53
Suppose b - 28 = -4*l, 0 = -b + 2*l + 8 - 4. Calculate the highest common divisor of b and 108.
12
Let f(l) = -l**2 + 6*l + 1. Let w be f(3). What is the highest common divisor of w and 50?
10
Let h(a) = -a**2 - 3*a + 4. Let z(w) = 2*w**3 - 2*w**2 - 3*w - 2. Let n be z(-1). Let y be h(n). What is the highest common divisor of y and 44?
4
Let k be (-1)/(-3) - (22/(-6) - 1). What is the highest common factor of 45 and k?
5
Suppose -4*a + 5*a + 4*l = -19, 2*a + l = -3. Let n(i) = 4*i - 18. Let d be n(5). What is the greatest common divisor of d and a?
1
Let z be (-51)/(-5) - 8/(-10). What is the highest common divisor of 1 and z?
1
Suppose 3*z = z - 2. Let f be -3 - ((-1)/z - 64). What is the greatest common divisor of f and 24?
12
Suppose -4*z - 64 = -2*k, 0 = -0*z + 2*z + 8. Calculate the highest common divisor of 24 and k.
24
Let l(t) = t**3 - 5*t**2 + 6*t - 1. Let k be l(4). Suppose -2*a = -k*a + 25. What is the highest common divisor of a and 15?
5
Let p(m) = -m - 1. Let a be p(-2). Let b = 13 - a. Suppose 4 = t - 4*w, 0 = 5*w + 3 - 13. Calculate the greatest common factor of t and b.
12
Let l(t) = t + 7. Let y be l(9). Calculate the greatest common factor of y and 32.
16
Let a = 15 + -25. Let j be ((-3)/(6/(-4)))/1. Let w be j/1*a/(-4). What is the highest common divisor of w and 10?
5
Let j be ((-18)/15)/(4/(-10)). Suppose -j*y + 3 + 24 = 0. Let a be 2/(-4) + 26/4. What is the greatest common divisor of y and a?
3
Suppose 3*o = -o + 8. Let t(w) = 2*w - 6. Let z be t(5). Let g = z - -4. Calculate the greatest common divisor of o and g.
2
Let x(y) = y + 6. Let m be x(2). What is the greatest common factor of 88 and m?
8
Let w = 274 - 164. Let l(i) = -1. Let f(c) = c**2 + 7*c + 7. Let v(m) = f(m) - 3*l(m). Let n be v(-7). What is the greatest common factor of w and n?
10
Let o = -1 + 3. Suppose 0 = -3*b + y + 14, y + 11 = o*b + 3. Suppose 2*g = 4*g - 5*a - 28, -8 = -4*g - 2*a. Calculate the greatest common factor of g and b.
2
Suppose -5*s = 4*x - 177, s + 168 = 6*s + x. Let b = 61 - 50. Calculate the greatest common divisor of b and s.
11
Suppose 8*h - 13*h + 25 = 0. What is the highest common factor of h and 55?
5
Suppose 4*v - 63 = v. Let s be ((-22)/(-77))/(2/28). Suppose -k + 3*o = -7, 4*k = -s*o - 5 + 33. Calculate the greatest common divisor of k and v.
7
Suppose -7*y + 9 = 2*y. What is the highest common factor of 8 and y?
1
Suppose 3*y - 41 = -d, 5*d - y - 149 = -2*y. What is the greatest common divisor of d and 145?
29
Let x(g) = 2*g**2 - 4*g - 13. Let y(k) = k**2 - 1. Let b(z) = -x(z) + y(z)
|
{
"pile_set_name": "DM Mathematics"
}
|
28212. What is the units digit of f?
0
Let u = 5142 - -375. Suppose -5*b + u - 2217 = 0. Suppose -2*a + b = a. What is the hundreds digit of a?
2
What is the hundreds digit of (103 + 0)/(216/12744)?
0
Suppose 4 - 12 = -4*o. Suppose 38 + 150 = o*c. Suppose -c = -8*r + 634. What is the tens digit of r?
9
Suppose 2*k - 10378 = -r, -5*k + 26*r = 28*r - 25947. Suppose -3551 = -6*z + k. What is the thousands digit of z?
1
Suppose 21 - 45 = -8*w. Suppose -g = 3*u - 14, -g + 5*u = w*g + 12. What is the hundreds digit of g/9 - 3/(27/(-2149))?
2
Let n be ((-91)/(-28))/((-6)/48). Let z(x) = 8*x**2 - 20*x + 3. Let w be z(6). Let g = n + w. What is the units digit of g?
5
Let i be (-2)/10 + 4552/(-40) + 1. Let f = i - -193. What is the tens digit of f?
8
Suppose 0 = -99*k + 94*k - 30. Let r(z) = 7*z**2 - 18*z - 2. What is the units digit of r(k)?
8
Suppose 2*n = 6*n - o + 840, 4 = o. Let a be 2*(-301)/2 + 1. Let z = n - a. What is the tens digit of z?
9
Let d = -788 - -801. Suppose -3*q = 3*i - 1494, -14*i + d*i + 482 = 5*q. What is the hundreds digit of i?
5
Suppose 17*y - 351705 = 337611. What is the units digit of y?
8
Let j = 15984 + -7219. What is the thousands digit of j?
8
Let g = -124 - -32. Let o = 93 + g. Let d(j) = 77*j**3 + 2*j**2 - j - 2. What is the tens digit of d(o)?
7
Let j = 314 - 299. Suppose -3848 - 3937 = -j*a. What is the units digit of a?
9
Suppose 289*u + 18134 = 271*u + 74528. What is the tens digit of u?
3
Let w(k) = 22*k**3 + 2*k**2 - k. Let x be w(2). Let p(j) = -6*j**2 + 9. Let o be p(0). Suppose -x = -o*f + 7*f. What is the tens digit of f?
9
Suppose -2227 = -25*h + 26548. What is the units digit of h?
1
Suppose -8*c + 4*c + 2*s = -71442, 2*s = 5*c - 89305. What is the units digit of c?
3
Suppose 3*k - 4*k + 3 = 0. Let w(h) = h**3 - 3*h**2 + h. Let d be w(k). Suppose 0 = -4*f - 4*c + 432, -d*c + 355 = 5*f - 185. What is the tens digit of f?
0
Let p be -2 + 37 - (3 - 3). Suppose -p*y - 1242 = -36*y. Suppose 28*a + y = 34*a. What is the tens digit of a?
0
Suppose -4*f + 204 = -2*f. Suppose -4*l + u = -u - f, -15 = 3*u. Suppose -2*y - 9 = -l. What is the units digit of y?
7
Let j = 47 - 115. Let s = 497 + -334. Let a = j + s. What is the units digit of a?
5
Let i(a) = -a**2 + 21*a + 164. Let c be i(27). Suppose -5584 = -c*d - 6*d. What is the hundreds digit of d?
6
Let j = 36 + -34. Suppose -3*a + 0*a - 2*d = -24, -3*d = -j*a + 3. Let n(r) = -r**3 + 6*r**2 + 12*r - 10. What is the tens digit of n(a)?
6
Let c = 1670 - 816. Suppose 7*n - 21*n = -c. What is the tens digit of n?
6
Let d(n) = -n**3 - 9*n**2 - 7*n + 20. Let c be 4/5 + (-1320)/150. What is the units digit of d(c)?
2
Suppose -20699 = -471*y + 464*y. What is the thousands digit of y?
2
Let h(t) = -27 + 22*t + t**2 + 32 - 18. Let c be h(-14). Let u = -23 - c. What is the hundreds digit of u?
1
Let a be (-3)/6 - (2 + 195/10). What is the tens digit of 20/(-110) + (-8034)/a?
6
Suppose -2*v + 3 = -d, 2*d = 2*v - v. Suppose 3*o + 11 = v, 3*o = -2*f - 9. Suppose f = 5*b + 2*r - 125, 0 = b + b + 5*r - 71. What is the tens digit of b?
2
What is the units digit of -7 - (6/(-14 + 8) - 5368)?
2
Let k(y) = 93*y**2 + 347*y + 4041. What is the units digit of k(-11)?
7
Suppose -l - 81 = -2*j - 8, 3*j + 3*l - 132 = 0. Suppose 3*i + 9 = -5*r, -3*i - 5*r - 5 = 2*i. Suppose -j + 235 = i*t. What is the tens digit of t?
9
Suppose 1985*v - 2034*v + 2704604 = 0. What is the units digit of v?
6
Suppose -2387 = -3*d + 955. Suppose 0 = 3*i - 3*q - d - 197, -q = 0. What is the tens digit of i?
3
Suppose 42*a + 298930 = 1405226 + 2717930. What is the thousands digit of a?
1
Let p be (96/336)/(2/56). What is the units digit of ((-256)/p + 8)/((-6)/9)?
6
Suppose 0 = 12*h - 10694 + 506. What is the units digit of h?
9
Suppose 31 = -3*h + 1486. Let z = -186 + h. What is the hundreds digit of z?
2
Let z be 6/4*4*1626/12. What is the tens digit of (-10 - (-3)/3) + z?
0
Suppose 0 = 4*r - 3*s - 284, 0 = 3*r + s - 125 - 101. Suppose -72*b = -r*b + 1078. What is the units digit of b?
9
Suppose -35*i + 37*i + 92682 = 11*i. What is the ten thousands digit of i?
1
Let u(s) = 4*s + 21. Let t be u(-4). Suppose t*k - 631 = 54. Let i = k - 85. What is the tens digit of i?
5
Let r = 42612 - 27128. What is the tens digit of r?
8
Let y = 2761 - 626. Suppose -d - 425 = -2*d + 3*c, -5*c = -5*d + y. Let t = d - 156. What is the tens digit of t?
7
Let x(s) = -s**3 - 11*s**2 - 8*s + 20. Let c be x(-10). Suppose 3*l - 3*f + 24 = -l, c = 4*l + 3*f. Let a(k) = -63*k - 11. What is the hundreds digit of a(l)?
1
Let z(o) = o**3 + 43*o**2 - 56*o + 209. What is the thousands digit of z(-43)?
2
Suppose 49685 = -8*s + 12069. Let o = -3006 - s. What is the thousands digit of o?
1
Let p = -175 + 183. What is the tens digit of (-602)/(-4) + 1*p/(-16)?
5
Suppose 0 = -2*b - 3*d + 36202, -10*b + d = -4*d - 180890. What is the units digit of b?
2
Let i(l) = -64*l - 7. Let g(v) = v - 1. Let s(m) = -6*g(m) + i(m). Let r be s(1). Let j = -35 - r. What is the units digit of j?
6
Suppose 28 + 24 = 4*l. Suppose -l*f + 8*f = -15. What is the units digit of f/(-6) + 495/6?
2
Let c(o) = 3*o + 17. Let i be c(-4). Suppose 2*z + 2*q = -20, -i*z - q - 42 = -0*q. Let d(r) = -r**2 - 9*r + 13. What is the units digit of d(z)?
1
Suppose -511494 - 228439 = -67*y + 32644. What is the hundreds digit of y?
5
Let a(w) = 55*w - 118. Let c be a(-4). Let q = 804 + c. What is the tens digit of q?
6
What is the thousands digit of (1818/30)/((-42)/(-7420))?
0
Let q = 46889 - 24755. What is the thousands digit of q?
2
Let j(h) = -39*h + 4. Let d be j(10). Let u = 660 + d. Let p = -80 + u. What is the hundreds digit of p?
1
Let d(a) be the second derivative of 27*a**5/20 + 2*a**4/3 - 2*a**3 + 3*a**2/2 + 94*a. What is the tens digit of d(3)?
6
Let v = -2343 - -1142. What is the tens digit of 38/(-209) - v/11?
0
Suppose 5*p = -2*c + 4, -2*p + 0 = c - 1. Let o be 1 + 3/p*2. Suppose 13 = -y + 4*f, y - 23 = -9*f + o*f. What is the units digit of y?
3
Suppose 0*d = -4*d + 2*h + 19970, -d + 4970 = 2*h. What is the hundreds digit of d?
9
Let l(x) = -3*x**2 + 9*x - 2. Let g(n) = -4*n**2 + 10*n - 3. Let f(s) = 2*g(s) - 3*l(s). Let r be f(3). What is the units digit of ((-438)/r + 3)*(-4)/(-2)?
9
Let u(a) = a**3 - 2*a + 4. Let o be u(2). Let l(p) = p**2 - 7*p - 1. Let z be l(o). What is the units digit of 6318/91 - 3/z?
9
Suppose -7892805 = -130*h - 80*h + 13*h. What is the tens digit of h?
6
Let a = 13721 + -7141. What is the units digit of a?
0
Let u(g) = 35*g + 258. Let x be u(-6). What is the hundreds digit of 38406/x - (-7)/(-56)?
8
Let w be (-2)/4 + 17/2. Let v(j) = 16*j**3 - 23*j**2 - 22*j - 1. Let d(c) = 7*c**3 - 11*c**2 - 8*c. Let x(t) = 7*d(t) - 3*v(t). What is the units digit of x(w)?
3
Let t be (-396530)/38*2/(-5). Suppose -t = -4*s - 5*q, 3*q = 11*s - 6*s - 5199. What is the units digit of s?
1
What is the units digit of (62528/(-192))/(2/(-36))?
2
Let g(z) = 1394*z**2 + 110*z - 412. What is the ten thousands digit of g(4)?
2
Suppose 0 = 49*v - 436181 - 164925 - 138696. What is the hundreds digit of v?
0
Let u = 28513 - 14849. What is the thousands digit of u?
3
Suppose -1383 = 21*b + 738. Let h = 238 + b. What is the hundreds digit of h?
1
Suppose -17*v + 119035 + 24785 = 0. What is the tens digit of v?
6
Suppose 0 = 3*z - b + 6*b - 502, 4*b = 2*z - 320. Let j = -104 + z. What is the units digit of j?
0
Let u(f) = 176*f**2 - 3*f - 513. What is the ten thousands digit of u(13)?
2
Let l(o) be the second derivative of o**5/20 + 13*o**4/12 + o**3 - 13*o**2/2 - 26*o. What is the hundreds digit of l(-10)?
2
Let b(f) = -51*f - 62. Let v(q) = 153*q + 185. Let z(r) = -7*b(r) - 2*v(r). What is the hundreds digit of z(10)?
5
Let b = 2 + 6. Let j(t) = -t**2 + 6*t + 25. Let g be j(b). Suppose -g*z + 805 + 320 = 0. What is the hundreds digit of z?
1
Let l(r) = 23*r + 33. Let g be (-91)/(-14) - (-2)/4. Let t(v) = -35*v - 49. Let k(y) = g*l(y) + 5*t(y). What is the tens digit of k(-8)?
9
Suppose k = 4*m - 7412, 0 = 19*m - 15*m + k - 7420. What is the units digit of m?
4
Let n(i) = -4*i + 7. Let f be n(1). Let b(m) = -3*m**2 + 9*m + 3. Let c be b(f). Suppose 107 + c = 2*d. What is the tens digit of d?
5
Suppose 3753 + 18900 = 2*p + q, 2*q = -p + 11331. What is the units digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
s of z(32).
37, 2399
Let o(c) = c**3 + 21*c**2 - 26*c - 121. Suppose -2*m + 0*m - 5*d - 29 = 0, -7*m - 116 = 3*d. List the prime factors of o(m).
7, 211
Let s = -11 - 110. Let u = 109 - s. List the prime factors of u.
2, 5, 23
List the prime factors of 3/(-42) - (-4856)/(-224)*-174.
2, 23, 41
Let f = -48 + 48. Suppose 5*u + 45 = -f*u. Let m = 14 - u. List the prime factors of m.
23
Let u = 26557 + 2740. What are the prime factors of u?
29297
Let h be (-4 + 7 - 2)*27. Suppose -31*l = -h*l - 1004. Suppose -x - 2*x - 4*z = -l, -4*z - 154 = -2*x. List the prime factors of x.
3
Let f(c) = c**3 + 12*c**2 - 8*c - 1. Let z be f(-13). Let v = 71 + z. Suppose r + 133 = 5*r - 5*w, -v*w = -2*r + 69. List the prime factors of r.
2
Let a = -84 + 142. Let u = a - 55. Suppose -567 = -4*j - u*m - 209, -2*j - m = -180. List the prime factors of j.
7, 13
Let k = 19 - 14. Let i(n) = 10*n + 1 + 12 + 7 - 2. List the prime factors of i(k).
2, 17
Suppose 1082 + 2058 = 4*i. Let v = 1449 - i. What are the prime factors of v?
2, 83
Let v(d) = 41*d - 2. Let n(l) = 82*l - 4. Let j(z) = 2*n(z) - 5*v(z). Let c = -2 + 0. What are the prime factors of j(c)?
2, 3, 7
Let f(s) = 80*s + 1918. List the prime factors of f(67).
2, 3, 1213
Let f = -459 + 2194. Suppose 0*g = 5*g + 5*z - f, -z = 4*g - 1394. What are the prime factors of g?
349
Suppose 5*m - 9 + 2 = 2*f, -2*f = -4*m + 2. Suppose 3052 = 11*n - f*n. List the prime factors of n.
2, 7, 109
Let v(b) = b**3 - 4*b**2 - 12*b - 574. List the prime factors of v(28).
2, 7, 1279
Let q(v) = -8*v**2 + 15*v - 5. Let h be q(2). Let f be (-6)/(-10) + 1010/25. Let l = f + h. What are the prime factors of l?
2, 17
Let u(t) = t**3 + t + 10. Let g be u(3). List the prime factors of 722/6*(g + -34).
2, 19
Let k(d) = -2*d**3 - 46*d**2 + 35*d + 110. What are the prime factors of k(-35)?
5, 5657
List the prime factors of 2051616/76 + 150/2850.
5, 5399
Let c(x) = 2*x. Let o(v) = 3*v - 70. Let p(i) = -4*c(i) - o(i). List the prime factors of p(-29).
389
Let u(y) be the first derivative of y**4/4 - 7*y**3/3 + 3*y**2 - 3*y - 14. Let k be u(6). Let h(z) = 8*z**2 - 4*z + 4. What are the prime factors of h(k)?
2, 11
Let v be -46 - ((-288)/60 - 4/(-5)). List the prime factors of 14/v - (-1942)/3.
647
Let i(l) be the second derivative of -13/2*l**2 - l + 0 - 3/2*l**3 + 1/2*l**4 + 1/20*l**5. List the prime factors of i(-6).
41
Let o(q) = -14*q - 40. Let m be o(-8). Let h be -3*((-176)/m)/(2/3). Let y(w) = w**3 - 10*w**2 - 11*w + 3. List the prime factors of y(h).
3
Suppose 4*k = -n + 25027 + 2091, 27106 = n - 2*k. What are the prime factors of n?
2, 5, 2711
Let y = 4738 - -15672. List the prime factors of y.
2, 5, 13, 157
Suppose 0 = -t - 8 + 81. Suppose -t*u + 173 = -72*u. What are the prime factors of u?
173
Let y = 35 + -36. Let k be -317*(y/(-3))/(4/(-12)). Suppose -2*d = 5*j - 865, -375 = -4*j + 4*d + k. What are the prime factors of j?
173
Let i(m) = -103*m**3 + m + 1. Suppose 9*o - 30 = -o. Suppose -o*y - 9 = -p - p, 3 = p. List the prime factors of i(y).
103
Let j = 348 + -358. Let d(h) = 2*h**2 - 2*h + 35. List the prime factors of d(j).
3, 5, 17
Let g(c) = -c**3 + 11*c**2 + 13*c - 2. Let s be g(12). Let b(t) = 11*t**3 + 3*t + 8*t**2 + 4*t - 5 - s*t**3 + 0*t. List the prime factors of b(-5).
5, 7
Let v = 1101 - 721. Let o be (-5)/((-90)/8) + (-451)/(-99). Suppose 0*t + t - 76 = 3*w, -o*t + v = -5*w. What are the prime factors of t?
2, 19
Suppose -157*x + 521262 = -59*x. List the prime factors of x.
3, 197
Let u(f) = 4*f**3 - 8*f**2 + 16*f - 29. Let o be u(4). Suppose o + 7787 = 10*j. List the prime factors of j.
3, 5, 53
Let x be (0 - -21)/7 + 6. Suppose 13*v - x*v - 1788 = 0. What are the prime factors of v?
3, 149
Let m = 18636 + -3805. List the prime factors of m.
14831
Let s(k) be the second derivative of 14*k**3/3 - 47*k**2 + 74*k. What are the prime factors of s(23)?
2, 5, 11
Let y(u) = u + 3. Let j be y(-1). Suppose -5*z = j*a - a + 17, -5*z - 26 = -2*a. Suppose 2*k - 43 = -h, 2*h = a*k - 2*k + 86. What are the prime factors of h?
43
Let l(t) = 2*t + 10. Let j be l(-9). Let z(k) = 14*k**2 - 7*k + 15. Let g be z(j). Suppose 0 = -s - 0*s + d + 197, -5*s + g = d. List the prime factors of s.
2, 97
Suppose 2*o + 3*o + 4*p - 31 = 0, 5*p - 17 = o. Suppose h + 349 = 5*h + 5*q, -2*h + 169 = -o*q. Suppose 2*g - h = -0. List the prime factors of g.
43
Suppose -7 = 2*z + 3*q + 93, -116 = 3*z - 4*q. Let k = -41 - z. Suppose k*u = j + 167, u + 5*j + 0*j = 29. List the prime factors of u.
2, 3
Let p = -9242 + 15711. What are the prime factors of p?
6469
Suppose 4*c - 5*f - 9529 = 0, -5*c - 19*f + 16*f = -11902. List the prime factors of c.
2381
Let b(p) = -38*p**2 + 15*p + 6. Let c be b(-7). What are the prime factors of -2 - (-9 - -8) - c?
2, 5, 7
Let u = -80360 - -112801. List the prime factors of u.
32441
Suppose -30 = -5*k - 4*j, 6*j = 5*k + 3*j - 30. Let p be -3 + k - (2 - 1). Suppose 202 = u - 5*c, -p*u - 34 + 394 = c. List the prime factors of u.
2, 7, 13
Let l(g) = 2*g**3 - 18*g**2 + 70*g - 749. What are the prime factors of l(19)?
29, 269
Suppose 5*m - 1450 = -85. Suppose 46*r - m = 43*r. List the prime factors of r.
7, 13
Let c(d) = 31*d**2 + 4*d + 5. Let o be c(6). Suppose 0 = 5*j - 1115 - o. List the prime factors of j.
2, 113
Suppose -4*t - 80 = -p, 14*p + 175 = 16*p - 3*t. Suppose 999 + p = n. List the prime factors of n.
1091
Let u be 5/((-2)/(-5) - (-117)/270). Suppose -1267 = -u*y + 1241. Let v = -145 + y. List the prime factors of v.
3, 7, 13
Let p be (-12)/(-3)*((-25)/5 + 6). Let b(z) be the second derivative of z**5/10 - z**4/6 - z**3/3 + 2*z**2 - 5*z. What are the prime factors of b(p)?
2, 23
Suppose -5*d + 4240 = -4*l, 3*d + 0*l - 3*l - 2547 = 0. Let r = d - 366. Let b = -254 + r. List the prime factors of b.
2, 7
Suppose -15*f = -18*f + 2*i + 5827, 7776 = 4*f + 4*i. List the prime factors of f.
29, 67
Suppose 56*s - 36*s - 588833 = -29*s. List the prime factors of s.
61, 197
Let z be ((-6)/9)/(20/(-30)). List the prime factors of ((-2)/3 + z)*(360 - 33).
109
What are the prime factors of -3*640/180*-2472?
2, 103
Suppose -c + 162 = k + 653, -4*c + 4*k = 1972. List the prime factors of 13*c/(-9) - 3/(-9).
3, 79
Let t be 23 + 8/(40/(-35)). Suppose 0 = -t*h + 19*h - 354. What are the prime factors of h?
2, 59
Suppose -3*w - 5*x + 158 = -0*x, 0 = -2*w + 4*x + 98. Suppose 4*d + 2*t - 3760 = 0, 53*d - w*d - 1864 = -5*t. List the prime factors of d.
2, 3, 157
Let x be (-10 + 3 - -1)/(2/75). Let z = x - -445. What are the prime factors of z?
2, 5, 11
Let y(x) be the first derivative of 2*x**3/3 + 6*x**2 - 11*x - 11. Let t be y(-9). Suppose p - 137 = -5*z, z - t + 14 = -p. List the prime factors of z.
3
Let l(f) = f**2 - f - 37. Let r be l(7). Suppose -7*b + 5016 = r*b. List the prime factors of b.
2, 11, 19
Suppose i - 3*f = 3*i - 514, 0 = -3*i - 3*f + 768. Suppose -5*c = -7*c + 4*d + i, -5*c - 3*d = -609. List the prime factors of c.
3, 41
Suppose -2*q - 8 = 0, -3563 = -4*n - q + 2765. Let i = 2249 - n. What are the prime factors of i?
2, 3, 37
Let c(z) = 2350*z + 623. List the prime factors of c(12).
19, 37, 41
Let t = 161 - 161. Suppose t = -2*a - 55*v + 59*v + 1630, -5*a = -4*v - 4081. List the prime factors of a.
19, 43
Let x = -1188 + 1732. Suppose -x = -4*u - 92. List the prime factors of u.
113
Suppose 4*o - 5*l + 1015 = 85, -3*l = -3*o - 699. Let b = 297 + o. List the prime factors of b.
2, 31
Suppose 19*j - 36*j = -85. Suppose -2*b = -u - 2481, 28*b - j*u = 30*b - 2451. What are the prime factors of b?
2, 619
Let s = 196 - -140. Suppose -6*m = -s - 144. What are the prime factors of m?
2, 5
What are the prime factors of 28471/5 - (-3 - (-112)/35)?
2, 3, 13, 73
Let c(g) = -13 + 2*g - 16 + 6 - 19. Let m be c(-8). Let u = m - -227. List the prime factors of u.
13
Let p(m) = 3*m - 3. Let u be p(2). Let o be 4/8*-2 + (-17 - -125). Suppose -2*z + o = u*s, 0 = 2*z - 7*z - 2*s + 273. What are the prime factors of z?
5, 11
Let v be 27/6*1*24. Let o = -39 + v. Suppose -o = -t + 94. List the prime factors of t.
163
List the prime factors of 54739 + -43 + 20 + 5.
54721
Suppose 3*b - 280 - 761 = 0. Let w = b + -76. What are the prime factors of w?
271
Suppose -4*p + 2*d + 2232 = -3084, 6667 = 5*p + 3*d. List the prime factors of p.
11
L
|
{
"pile_set_name": "DM Mathematics"
}
|
.54706?
-783.54706
Which is greater: 509 or 20331.79?
20331.79
Is 3/7 >= -2192/23?
True
Which is greater: -2/29721371 or 0?
0
Does -2/81095185 = 1?
False
Do -15204 and -1930925/127 have different values?
True
Is 1.6 less than 1.84582?
True
Is -71599189 > -71599189?
False
Is -2592720 greater than or equal to -49261700/19?
True
Is -42308 at least as big as -42172?
False
Which is smaller: 1 or -28/1370169?
-28/1370169
Are -6902 and 11396 unequal?
True
Which is smaller: -2530/68963 or 0?
-2530/68963
Which is bigger: 245481541 or 245481539?
245481541
Is -172334/269 not equal to -642?
True
Is -18012679 not equal to -18012689?
True
Which is smaller: -1 or 21/37781437?
-1
Which is bigger: -50/50523 or 0?
0
Do -534762695 and -534762695 have the same value?
True
Which is smaller: 115604 or 115486?
115486
Is 8/914061 < -1?
False
Is 0 >= -3594/7627?
True
Is -7 less than or equal to -22092/3365?
True
Is -1 != -1/32133626?
True
Are 7875 and 9516 non-equal?
True
Which is smaller: -1828 or 0.35409?
-1828
Which is smaller: -129791 or 1782?
-129791
Are -14139581 and -98977059/7 nonequal?
True
Is -173372507 >= -173372506?
False
Which is greater: 237209 or 241758?
241758
Is 690 > -21006?
True
Which is smaller: 359606 or 7/6?
7/6
Is 1475372 smaller than -2/7?
False
Is 1783067 not equal to 13?
True
Is 0.281 bigger than 92228?
False
Is -0.09848 > -32/59?
True
Is 42457303 greater than or equal to 42457305?
False
Which is bigger: 19/834671 or 0?
19/834671
Is 1 >= -200/1889667?
True
Are 2790470 and 2790492 unequal?
True
Which is greater: -32604 or -25673?
-25673
Are -139898 and -139649 nonequal?
True
Is 0 less than 3/859723?
True
Does -1 = 12/83686639?
False
Is 437485 smaller than 437538?
True
Which is bigger: 1138311/115 or 9899?
9899
Which is greater: -600988 or -600987?
-600987
Do 0.0896 and 0.9879 have the same value?
False
Which is greater: -16903450 or -16903455?
-16903450
Is -104 equal to -28278?
False
Which is greater: -8706467 or -8706468?
-8706467
Is 1828/25119 greater than 0.5?
False
Is 398329963 at most 398329962?
False
Which is greater: 123065 or 2830470/23?
123065
Is 4100 not equal to 4438?
True
Is -88678 greater than -88895?
True
Which is greater: -18725372/3 or -6241792?
-18725372/3
Is 13 less than or equal to 5878/425?
True
Are 214206 and 214767 equal?
False
Is 105737140 bigger than 2?
True
Which is smaller: 20/691303 or 0?
0
Which is bigger: -90105407 or -180210815/2?
-90105407
Which is bigger: 0 or 26/18789623?
26/18789623
Is -3/268372019 >= 0?
False
Which is greater: -22593733/4 or -5648432?
-5648432
Is -378903338/3 <= -126301114?
False
Does 233737/276 = 847?
False
Which is bigger: -1 or -7/1173559?
-7/1173559
Is 0.1 less than or equal to 7/7605323?
False
Which is bigger: -1858549 or -1858567?
-1858549
Is -168351338 less than or equal to -505054018/3?
False
Which is greater: -485 or -49033?
-485
Does -22 = -6923994?
False
Which is smaller: -243869 or -244651?
-244651
Which is bigger: -37/4780717 or 1?
1
Is -1 greater than or equal to -31568/13529?
True
Which is greater: 360282778 or 360282779?
360282779
Is 29818 not equal to 36174?
True
Which is greater: -435589718 or -435589719?
-435589718
Is -13.993065 less than 0?
True
Which is smaller: -1931/47286 or -1?
-1
Which is bigger: 204936 or 204934?
204936
Which is smaller: 17062857 or 17062862?
17062857
Which is smaller: 768420 or 36115762/47?
768420
Which is bigger: -19 or 1247602?
1247602
Which is smaller: -308314 or -308338?
-308338
Is -62951594 not equal to -62951594?
False
Is 23 greater than -25945139?
True
Which is smaller: 22179 or 23238?
22179
Is 0 at most 2/28974361?
True
Does 0 = -17/8305812?
False
Is -14/3 greater than 341.84?
False
Which is bigger: 1 or -4/2116059?
1
Which is smaller: -1576 or 4784?
-1576
Is 256347775 != 256347774?
True
Which is smaller: -259 or 776991?
-259
Which is smaller: -2383407 or 26?
-2383407
Which is greater: 5 or 31892/8665?
5
Is 84234 <= 1095023/13?
False
Which is smaller: 616201961 or 616201962?
616201961
Is -10168 at least -2064228/203?
True
Is -4145419/58 bigger than -71474?
True
Which is bigger: -54696714 or -164090140/3?
-164090140/3
Which is smaller: -57508 or -6440765/112?
-57508
Is 0 at least as big as 142/391119?
False
Is 895245 less than or equal to 895243?
False
Do 21880 and 21417 have different values?
True
Are -634391 and -634420 unequal?
True
Is 23476 != 56/9?
True
Is -1209938/13 equal to 3?
False
Which is bigger: -396 or -506?
-396
Is 3844877/2 at least as big as 1922439?
False
Is -563678 smaller than -563638?
True
Which is bigger: 0.75 or 163632?
163632
Which is smaller: 54460892 or -2?
-2
Which is smaller: 262/208729 or 1?
262/208729
Is 2455 not equal to 4474?
True
Which is smaller: -1 or -2/359620331?
-1
Which is smaller: -377122 or -375051?
-377122
Does -986401 = -986403?
False
Which is smaller: -6816877 or 29?
-6816877
Which is bigger: 66/7 or 66/1075?
66/7
Which is smaller: 752319 or 12037089/16?
12037089/16
Which is smaller: 340136 or -1?
-1
Which is bigger: -335011 or -335082?
-335011
Is -142275123 greater than or equal to -142275119?
False
Is 260 smaller than 3/18584?
False
Which is bigger: -272940.84 or -4?
-4
Is 4574/107 smaller than 17?
False
Is -13408757 >= -13408756?
False
Which is smaller: -5086920 or -1/66?
-5086920
Which is bigger: -27648978 or -27648977?
-27648977
Which is smaller: -1515825 or -1515822?
-1515825
Which is smaller: 7 or 108391/19065?
108391/19065
Which is bigger: -0.151 or -823/49?
-0.151
Which is smaller: 1122480 or -113?
-113
Which is smaller: -2047 or -257/32?
-2047
Which is smaller: 9827420 or 167066158/17?
9827420
Which is smaller: 0.300219306 or 0.2?
0.2
Which is smaller: -7631 or 2/157?
-7631
Is 18965022 less than 18965022?
False
Is -613308/211 at most -2906?
True
Do 1 and 2/198921709 have the same value?
False
Does -87000966 = -1?
False
Is -2282 >= -104958?
True
Which is bigger: 7547967 or 124?
7547967
Which is smaller: -3849865 or -3849874?
-3849874
Is -18/731 < -14/671?
True
Are 12646 and 12662 nonequal?
True
Which is smaller: 37 or 30216/817?
30216/817
Which is smaller: -426 or -998848/2345?
-426
Which is greater: -58/111115 or -1?
-58/111115
Which is smaller: 2359/34466 or 1?
2359/34466
Which is smaller: -7 or -20390.435?
-20390.435
Which is bigger: 0.07 or -5821/5503?
0.07
Does 16.1 = 117/125?
False
Which is smaller: -373620 or -373637?
-373637
Which is smaller: -1/52867741 or 1?
-1/52867741
Are 90392225 and 90392224 non-equal?
True
Is -94/308925 smaller than -1?
False
Is 88648 greater than 88667?
False
Is 0.03 <= -2644297?
False
Which is smaller: -0.042 or -30.05492?
-30.05492
Which is bigger: 112 or 32261/285?
32261/285
Is -35806 equal to -34246?
False
Is 464963 greater than 465067?
False
Is 16361 at most as big as -2.743?
False
Is 6/8845 < 14.8?
True
Is 25266 smaller than 25269?
True
Is 1 smaller than -11118/100699?
False
Which is smaller: 7/258 or 47560?
7/258
Is 1918900 <= 8?
False
Is 125/2781 at least as big as -0.4?
True
Do 36581 and 0.941 have different values?
True
Which is smaller: 2638364 or 67?
67
Which is bigger: -31286344/81 or -386251?
-386251
Which is smaller: 392385160 or 392385159?
392385159
Is 9971 less than 11124?
True
Is 50110456 less than 50110460?
True
Which is greater: 100165 or 100107?
100165
Which is smaller: 0.2 or 0.071040545?
0.071040545
Which is bigger: 10689008 or 10689009?
10689009
Which is bigger: 1197819 or 4?
1197819
Is -66036 at most -66032?
True
Which is smaller: -3 or 0.3078087?
-3
Is -113078760 greater than or equal to -113078762?
True
Are -1 and 25/1713089 nonequal?
True
Are -8182 and -7845 non-equal?
True
Which is greater: 225937 or 225936?
225937
Does 7833329 = 7833327?
False
Is 1064158/241 bigger than 4416?
False
Is 617/253079 less than or equal to 1?
True
Is 11035 at least as big as 10974?
True
Which is bigger: 28312 or 311424/11?
28312
Which is smaller: -50557/5 or -811?
-50557/5
Which is smaller: -4571 or 427?
-4571
Which is bigger: 0 or 2/30459989?
2/30459989
Which is bigger: -4.692 or 25/6?
25/6
Is 69434/221 at most 314?
False
Is -3554 not equal to 101261?
True
Do -143157 and -143150 have different values?
True
Is -2/7 greater than -13768906?
True
Which is smaller: -233815815 or -233815819?
-233815819
Is 39553419 less than 0.06?
False
Which is smaller
|
{
"pile_set_name": "DM Mathematics"
}
|
*x - 9*g for x.
3
Suppose 57 - 176 = -38*a + 71. Solve -4*k - 5 = 3*j, -18*j + 20*j + a*k + 8 = 0 for j.
1
Suppose -1 = 2*b - 3*s, 3*b - 4*s - 9 = -3*s. Let n be (b - (-5 - -7)) + 3 + 0. Solve h - 2*k + n = 0, 3*k = -4*h + 6*k - 10 for h.
-1
Let n be 4/((-4)/3) + -12 + 32. Suppose -y - 2*y - 19 = -5*o, o - 5*y = n. Let x be (-9 - -4 - -5)*(-1)/o. Solve 2*w - 3 - 7 = -2*u, -2*w - 3*u + 15 = x for w.
0
Suppose -25*u + 18 + 19 = -238. Solve 0 = -5*a + 22*x - 21*x - 25, 5*x - u = 6*a for a.
-6
Let o = -159 - -132. Let t = o - -27. Solve t*g + 4*c - 20 = -4*g, 0 = -4*c for g.
5
Let w = -77 - -86. Suppose -9 + 18 = w*u. Solve -a + 3 = -3*j, u = j - 2*j - 2*a for j.
-1
Suppose -412 + 2402 = 155*u - 180. Solve 3*f = -3*c + 6 - 39, -2*c - u = 0 for f.
-4
Let a = 3 + 0. Suppose -2*j + 3*j - 26 = 5*w, -2*w + 4 = -4*j. Let s(y) = 4*y**2 + 26*y + 16. Let t be s(w). Solve 5*d = -3*c - 18, t + a = -4*d + 5*c for d.
-3
Suppose -9295*g = -9315*g. Solve g = -13*i + 18*i + 2*a + 12, 5*a = -4*i + 4 for i.
-4
Let n = -2633 - -2635. Solve 3*m = t - n*m - 25, 5*t - 33 = 2*m for t.
5
Suppose 3*l = 2963 + 43. Let j = l + -999. Let v be (6/4)/(2/4). Solve -5*d - 12 = -2*y, -v*y - y - 28 = j*d for y.
-4
Suppose -19*j - 3*j = -1232. Suppose j = p + 51. Solve 4*c - p = 3*m + 5, 5*m - 2 = 2*c for c.
4
Let d(h) = h**3 - h**2 - 7*h + 2. Let w be d(4). Suppose -5*t - 51 = -w*t. Solve 0 = 3*a + 4*v - 14, t*v = 4*a - v + 28 for a.
-2
Let o(x) = -x - 1. Let y be o(-6). Let g be 3/(9/(-15)) + (-3 - -67). Let q = -33 + g. Solve -28 = -y*u + b, -1 = -3*u + 4*b + q for u.
5
Let t = 2112 + -2106. Solve t*q - 12 = -5*x + 3*q, -3*x + 4*q = 16 for x.
0
Suppose t + 21 + 8 = 5*w, -3*w + 3*t = -27. Suppose 4*q = 26 - 10. Suppose 2*k - 12 = q*y, 4*k - 4*y - 16 = k. Solve -w*x = -3*s + 2*s + 28, x + 17 = k*s for x.
-5
Suppose -95*b + 87*b = 31*b - 4875. Solve 127*d + l = b*d, 3*d - 5*l = 0 for d.
0
Let n(p) = -5*p - 36. Let y(m) = -m**2 + 4*m + 5. Let d be y(-3). Let c be n(d). Let u = -42 + c. Solve -8 = 4*j + 2*a, 2*a = u*j - 3*a - 20 for j.
0
Suppose 7*u - 2*u + 863 = -2*y, -3*u = 3*y + 1308. Let p = y + 444. Solve j + 2*j - r - 14 = 0, p*r + 10 = 0 for j.
4
Let m(j) = -4*j - 22. Let b be -3*7/3*1. Let u be m(b). Suppose h - 5*k + 2*k + 14 = 0, -k + u = h. Solve -4*v - 3*n + h = 0, -5*v + 0 + 4 = n for v.
1
Suppose 10 = -5*j - 5*m, -32*j + 33*j + 4*m = -14. Solve 0 = 5*q - 77*o + 73*o + 11, 10 = -4*q + j*o for q.
-3
Let s(g) = -7*g + 28. Let b(o) = -12*o + 58. Let l(i) = 3*b(i) - 5*s(i). Let c be l(29). Solve c*w = -4*f - 3 + 8, -w = 5*f + 20 for f.
-5
Let g(z) = -16*z**2 + 14*z + 77. Let y be g(-4). Let w = y + 245. Solve 4*l = 3*u + 3, 0*u - w = 2*u for l.
-3
Let x = 21 + -20. Let j be (x - -3) + (-16)/(-4). Let o(z) = -z**2 + 7*z + 8. Let m be o(j). Solve -l + k + 1 = m, -3*l - 2*k + 14 + 4 = 0 for l.
4
Suppose 462 = -7*r + 490. Solve -4*w + 9 = -x, -33*w - 3 = r*x - 38*w for x.
3
Suppose 3*m - 414 = -15*m. Suppose -m = -4*z + 3*c, 8 = -z + 5*c - 7*c. Solve z*a - 4*h = 12, -h = a - 6*a + 12 for a.
2
Let w(m) be the first derivative of 13*m**2/2 - 139*m - 81. Let r be w(11). Solve 2*n + 0*n + r = -4*j, 0 = j - 2*n - 4 for j.
0
Suppose 0 = -5*u - 21*p + 16*p + 40, -2*u + 2*p - 4 = 0. Solve 13*j + 3*c - 13 = 15*j, u*j - 2*c + 17 = 0 for j.
-5
Suppose 4*n - 3*m - 30 = 0, 4*m + 33 = -84*n + 87*n. Solve 0 = -4*q - n*v + 5, 0 = v - 17 + 14 for q.
-1
Let p be ((-4)/(36/(-3)))/(1/15). Let o(b) = -8*b + 6. Let r be o(-2). Solve -3*d - 13 = -3*y - 1, 3*y = p*d + r for d.
-5
Suppose 5*x - 22 = j - 0*x, 2*x - 1 = 3*j. Suppose 150 = -j*z + 9*z. Let n be 2*(z/35 - (-4)/14). Solve -n - 2 = -4*b - i, 0 = -5*i for b.
1
Let n be (3/(-3 + 0))/1. Let b be (n + 70/30)*(-3)/(-2). Solve 2*d + b = j - 5, -3*d - 8 = j for d.
-3
Let n = -3182 - -3190. Solve 3*b = 5*d - 4, -d = -22*b + 19*b - n for d.
-1
Suppose 36*l - 13*l - 46 = 0. Solve 3*d - l*t = -4, -7*d + 4 = -6*d - 2*t for d.
-4
Let c(m) = -m**3 - 30*m**2 + 31*m + 14. Let j = -175 - -144. Let f be c(j). Solve 0*u + 8 = 2*n + u, n + f = 4*u for n.
2
Suppose 4 = -4*j - 2*u, j + 1018*u - 1023*u - 32 = 0. Solve -3*x = -4*z - 15 + 10, -j*x + 10 = -4*z for x.
-5
Let d(i) = -i**3 + 12*i**2 + 6*i - 94. Let m be d(8). Suppose 0 = 345*x - 355*x + m. Solve -4*t = -8, 3*q - x = -5*t + 4 for q.
5
Suppose 80*p - 2*z + 2 = 78*p, -24 = -4*p - 3*z. Solve 0 = -p*j - 2*g - 5, 82 - 72 = -4*j - g for j.
-3
Let q = 32598 + -32596. Solve -10*f = -6*f - 2*h + 26, 4*h - 2 = -q*f for f.
-5
Let v = -69 - -31. Let d = v - -47. Suppose 3 = 4*b - d. Solve x + 1 = -2*t - b*t, -x + 5*t + 9 = 0 for x.
4
Let k(t) = 7*t**2 + 0*t - 25*t + 4 + 7*t + 9*t + t**3. Let z = 3 - 11. Let a be k(z). Solve 3*u = -5*v - 20 + 51, 0 = 4*v - 4*u - a for v.
5
Suppose -6*v + 5*v - 1 = 0. Let t be (6 - -4) + -1 - v. Suppose 2*q - 15 = -3*s, -4*s = 4*q - 30 + t. Solve -h + 3*m + 2 = q, 0 = 2*h - 5*m - 3 - 1 for h.
2
Let y = 389 - 367. Suppose 0 = -5*n + y*n - 34. Solve -2*k + 0*k - 8 = 0, -n*k - 20 = -4*v for v.
3
Let t(j) be the first derivative of j**4/4 - j**3/3 + j**2 + 16*j - 16. Let s be t(0). Solve 2*z - 4*z + 4*c = s, -5*z + c = 22 for z.
-4
Let r = -436 + 434. Let q be -1*(r - -1) - (-9 + 2). Solve -q = -3*b - 4*f, 2*b + 2*f - 4 = -2*b for b.
0
Let x be 45/10 + (-12)/8. Let u = -91 + 109. Suppose h - u*h = -272. Solve -x*s - 5*c = -c + 27, 0 = -5*s + 3*c - h for s.
-5
Let o(f) be the third derivative of -f**4/8 + 3*f**3/2 - 10*f**2. Let a be o(-5). Suppose -m = 7*m - a. Solve -2*r + w = -3, r + w = m - 9 for r.
-1
Let q = 90 - -8. Let n = q - 93. Solve l = -n*j + 22, -3*l - 24 = -0*l - 3*j for l.
-3
Let m be 6/(-1 + (4 - 2)). Let a be ((-351)/(-45))/(m/10). Suppose -3*s + s - o = -11, -s + 2*o + 8 = 0. Solve -3*g = b + a, -g - s + 1 = 0 for b.
2
Suppose 3*f - 12 - 26 = -2. Solve -3*u = -k - f, u - 2*u = k for u.
3
Let x = -11 - -13. Suppose -v = -x - 2. Let l be 6/(-12) + 6/v + 1. Solve 4*g + 12 = l*j, 3*j - 3 = 5*g - 2*g for j.
-4
Let q be (-4)/(-8)*2*1*104. Let y = q - 96. Solve -3*b + k + y = 3*k, 0 = 5*k - 5 for b.
2
Suppose -4*x - 118 = -4*a - 10, -2*x = 2*a - 34. Solve -4*p + a = 3*f, -f + 2*f + 4*p = 18 for f.
2
Let x(z) = z**2 - 2. Let w be x(4). Suppose 5*n + 3 = 2*a, 3*n = -3*a + 102 - 24. Solve 4*k + a = g, -w = 2*k + g + 3*g for k.
-5
Let y = -16 - -10. Let l be (3 - 30)/(9/y). Solve 12 = 2*u + 2*x, 5*x = -3*u + u + l for u.
4
Let y be (15/(-60) + 11/4)/(2/4). Solve 0 = 5*t - p + 24 + 6, y = t + 2*p for t.
-5
Let t be (1 + 2)*1/(-3). Let d = t - -4. Let z be 19 - (62/(-10) + -4 + 8)*-5. Solve c = -5*x - 4, 0 = d*c - 3*x + z*x + 12 for c.
-4
Let x be (-656)/(-10) + -3 - (6/(-15) - -1). Let b be 536/14 + 2/(-7). Let o = x - b. Solve 4*p = 3*t + 7, -3*p = -5*p - 4*t - o for p.
-2
Let h be 3/3*(-36)/(-12). Suppose 4*p - 24 = -4*j, 0 = 2*j - h*j - 4*p + 15. Solve 0 = -3*f - 5*s - 5, -3*f = -0*f + 3*s - j for f.
5
Suppose 5*b - 28 = -7*t + 4*t, -148 = -8*t + 5*b. Suppose 5*g = -79 + 24. Let p = g + t. Solve y = h - 0*y - 1, -5*h - p*y = -5 for h.
1
Let d(h) = -6*h**2 - 3*h + 2. Let k be d(2). Let b be 7/k - (-2)/8. Suppose -18 = -y - b*g - 5*g, -5*y - 3*g = -24. Solve v - 5 = z, v + 10 = -y*v - 2*z for v.
0
Let q be 1*(7 + (99 - 1)). Let s be 4/1*q/70. Solve -5*d - o = 29, -4*d = -s*o + o for d.
-5
Let b be 6 + 9 + -9 - (-33 + 11). Solve 0 = 3*s + n - 9, 5*s + 8*n = 2*n + b for s.
2
Suppose -63 - 145 = -79*v - 50. Solve -3*y = -v*i + 3, 5*y = 4*y - 3 for i.
-3
Let r = 2351 - 1501. Suppose 54*m = 59*m + r. Let w be m/(-35) + 4/28. Solve 5*g = 2*k + 25, -3*g + 15 = k - w*k for g.
5
Let l(m) = -2*m**3 + 13*m**2 - 31*m + 53. Let t be l(4). Solve 3*i = t, -i - i = -2*c - 4 for c.
1
Suppose -475 = 1676*m - 1701*m. Solve -7 = -2*r + i, m = 5*r - 23*i + 20*i for r.
2
Let o(v) = v**3 + v**2 - 68*v - 182. Let k be o(-3). Solve 4*h = 0, -s - 4*s + k*h = -25 for s.
5
Suppose 6*v - 9*v = -18. Suppose -o - 5*y - 16 = 0, 3*o + v = -3*y - 6. Let t(k) = -k + 2. Let g be t(o). Solve g*n - 2*b + 1 = 0, 2*b = 4*n + 6*b + 28 for n.
-3
Suppose -988*f + 14 = -990*f. Let j be -3*14/6 - f. Solve -s - 5*c - 14 = j, -6 = -s + c + 4*c for s.
-4
Suppose 26*c = -4*i + 95 + 61, 3*i = -5*c + 30. Solve -3*d - r - 13 = i, -27*d + 5*r - 7 = -30*d for d.
-6
Let y(n) = 2*n**3 + 4*n**2 + n + 2. Let a be y(-4). Let k = -63 + 6
|
{
"pile_set_name": "DM Mathematics"
}
|
*r = -3*p + 1038, 3*r + 344 = 4*r + 2*p. Suppose -h = 3*h - 12. What is the units digit of h/(-4) - r/(-16)?
1
Let v(t) = 2*t. Let a be v(14). Suppose 3*f - 115 = -a. What is the tens digit of f?
2
Suppose -u + 33 = 4*d, 0 = -5*d + 3*u - 6*u + 43. Suppose 2*h = -5*t + 435, -t - 2*h - d = -87. What is the tens digit of t?
8
What is the tens digit of 3/(6/8) - 5 - -442?
4
Let s(y) = y**3 + 28*y**2 + 11*y + 53. What is the units digit of s(-27)?
5
Let h(d) = d**2 + d + 59. Let v be h(0). Suppose 5*q + 5*t = 20, -6 = 2*q - 4*t - t. Suppose -5*z + v = s, -q*s - 5*z = -70 - 23. What is the tens digit of s?
3
Suppose 0 = -2*i + 2*z - 62, -2*i - z = -5*z + 64. Let s = 51 + i. Let f = s + 1. What is the units digit of f?
2
Suppose -23*u + 28*u = 3*q - 5261, 4*u = 4*q - 7004. What is the hundreds digit of q?
7
Let i = -30 - -46. Suppose -3*b - 7 = k - 0*k, -5*k + 2*b = -i. What is the units digit of k?
2
Let y(s) = -11*s + 12. Let q be y(4). Let a = q + 149. What is the units digit of a?
7
Suppose 2255 = 6*l + 581. Let v = -127 + l. What is the tens digit of v?
5
Let l(o) be the first derivative of -17*o**2/2 - 6*o + 14. What is the units digit of l(-5)?
9
Let g(r) = r**2 + 5*r - 4. Let a be g(-6). Let p(y) = -3*y**2 - 10*y - 13*y**a - 2*y**2 - y**3 - 9*y. What is the tens digit of p(-17)?
3
Let j be 2/(-2)*(25 - 185). Suppose j = -4*q + 6*q. What is the tens digit of q?
8
Suppose 2*x + 158 - 142 = 0. Let b(q) = q + 7. Let c be b(-6). Let l = c - x. What is the units digit of l?
9
Suppose -j = -4*j + 42. What is the units digit of (198/(-5))/(j/(-35))?
9
Suppose 0 = -4*w + 6*w. Suppose w = 6*l - 153 - 21. What is the tens digit of l?
2
Let l(s) = -7*s - 2. Let o be l(-2). Suppose -4*t = -t - o. What is the units digit of t?
4
Let q = -130 - -171. Suppose -40*p = -q*p + 76. What is the units digit of p?
6
Let p be ((-138)/(-4))/(6/8). What is the tens digit of (0/(-3))/1 + p?
4
Suppose -26*q - 6217 = -28*q - t, 0 = 4*q + 3*t - 12435. What is the tens digit of q?
0
Let k be (32/(-20))/((-4)/10). Let i be 7 - 2*(-2)/k. Suppose 155 = -3*b + i*b. What is the units digit of b?
1
Let w(l) = -134*l + 6. What is the tens digit of w(-2)?
7
Let y(w) = w**2 + w + 1. Let z(t) = 18*t**2 + 10*t + 10. Let o(i) = -12*y(i) + z(i). Let d = 2 + 0. What is the tens digit of o(d)?
1
Suppose 0 = 2*b - 2571 - 1279. Suppose 0 = 6*n - 13*n + b. What is the units digit of n?
5
Let n be (3 + 0)*175/15. What is the units digit of 21/n - (-644)/10?
5
Let a = 26 - -35. Suppose -a = -11*n + 1633. What is the hundreds digit of n?
1
What is the units digit of (2/4)/((-139686)/19956 - -7)?
3
Let g(w) = 2*w - 6. Suppose 3*n - 15 = -0. Let x be g(n). Suppose 55 = 5*c + 5*y, -x*c - y - 43 = -9*c. What is the units digit of c?
9
Let k(q) = -2*q**2 + 2*q - 3. Let s be k(2). Let u(t) = t**2 + 16*t + 2. Let v be u(s). Let w = v - -104. What is the units digit of w?
3
Let i be 3/((-3)/(-9)*3). Suppose -2*l + c = -5, i*c + 15 = -0*c. Suppose 4*m + 3*x - 89 = l, 3*m + 2*x + 2 = 69. What is the units digit of m?
3
Let v(a) = a + 25. Let u = -7 - 13. What is the units digit of v(u)?
5
Suppose 0 = 3*o - 4*o - 5. Suppose -3*l - 2*l - 5 = 0. What is the units digit of l/1*35/o?
7
Let v(b) = 19*b - 19. What is the hundreds digit of v(9)?
1
Suppose -5*g = -25, -3*c + 5*g - 25 = c. Suppose 0 = -5*d - c*d - 120. What is the units digit of (16/d)/((-2)/18)?
6
Let x = -1291 + 1860. What is the tens digit of x?
6
Suppose 0 = 4*t - 2*t - 5*h - 33, 2*t + 7 = -3*h. What is the units digit of 1853/51 - t/(-6)?
7
Suppose -4*i = -4*u - 4824, 2*u + 22 = -4*i + 4816. What is the units digit of i?
1
Let y(w) = 553*w**2 - 8*w + 7. What is the units digit of y(1)?
2
Let b = 36 - -314. Suppose -70 + b = 5*y. What is the tens digit of y?
5
Let w be (-175)/14 - (-1)/(-2). What is the tens digit of (-366)/(-16) + w/(-104)?
2
Let m(c) = -c**2 - 4*c + 6. Let v(q) = -q**2 + 7*q - 10. Let j be v(8). Let w = j + 13. What is the units digit of m(w)?
1
Let i(h) be the first derivative of h**4/4 + 10*h**3/3 + 3*h**2 + 3*h - 17. What is the tens digit of i(-8)?
8
Suppose 0 = i + 2*x - 524, -310 = -3*i + 3*x + 1280. What is the hundreds digit of i?
5
Suppose -6*p = 2*h - 3*p - 783, -2*h - 5*p = -781. What is the hundreds digit of h?
3
Let i = -4 - -9. Suppose -b = i*z + 12 - 35, -4*b - 3*z = -24. Suppose b = 2*a - 11. What is the units digit of a?
7
Suppose -77 = -z - 6*g + 8*g, 3*z = 3*g + 234. What is the tens digit of z?
7
Let f(z) = -z - 29. Let k be f(-13). What is the units digit of 12/(((-18)/k)/3)?
2
Suppose -11 = -2*f + 5. Suppose -3*a + f = a. Suppose 3*r - a*p - 56 = 0, 0 = -0*r - 3*r - 2*p + 64. What is the units digit of r?
0
Suppose -125*n - 832 = -127*n. What is the hundreds digit of n?
4
Suppose -237 = -4*w - 8*k + 3*k, -4*k + 62 = w. What is the tens digit of w?
5
Suppose 1932 = 3*o - 3*i, 13*i - 1273 = -2*o + 10*i. What is the tens digit of o?
4
Suppose 2633 = 5*u - 2*u + 4*i, -3*u + 4*i + 2617 = 0. What is the units digit of u?
5
Let o(h) = 1 + 1 + 5*h - 8 - 3*h**2 + 4*h**2. Let j be o(7). Suppose 0 = -m - m + 4*f + j, 4*m + 2*f = 206. What is the units digit of m?
9
Let k be ((-32)/24)/((-2)/3). What is the tens digit of (-2 + k*-40)/(3 - 4)?
8
Let x be (-8)/12 - 4/(-6). Suppose x*d = 7*d - 630. What is the units digit of d?
0
Let l(s) = 3*s**2 + 67*s + 39. Let o be l(-28). What is the hundreds digit of (3 - o/(-15))*3?
1
Let g be (-10)/(-3) + 16/(-12). Suppose g = l - 1. What is the units digit of l?
3
What is the tens digit of (-19425)/(-18) + (-18)/108?
7
Suppose 3*q - 20 = 4. Suppose q*c - 21 = c. Let a = c - 1. What is the units digit of a?
2
Let p(k) be the second derivative of k**4/4 - 11*k**3/6 + 7*k**2 - 9*k. What is the tens digit of p(6)?
5
Suppose 2*i - 2 + 2 = 0. Let w(x) = -x + 108. What is the tens digit of w(i)?
0
Let a(s) = -2*s**2 + 2*s + 3. Let d = 7 - 3. Let o be a(d). What is the units digit of (o/14)/(6/(-16))?
4
Let x be (-7)/(-2)*16/28. Suppose -48 - 148 = -x*z. What is the tens digit of z?
9
Let f be 1 + 3 + (1 - 284). Let m = -187 - f. What is the units digit of m?
2
Let f(m) = 93*m - 3. Let i(o) = o. Let n(q) = f(q) + i(q). What is the units digit of n(1)?
1
Suppose -4*q + 365 = -n, -5*q + 10*n - 14*n = -430. What is the hundreds digit of (-4)/(-18) - (-12940)/q?
1
Suppose 167 = 3*j - 4*v, 0 = -0*j + 4*j - 2*v - 236. Suppose -2*s - 2*t + 41 = t, 3*s + 5*t - j = 0. What is the tens digit of s?
2
Let k = 5 + -10. What is the tens digit of k*(-7)/(35/51)?
5
Suppose 3*v + 29 = 41. Suppose 0*o - 64 = -v*o. What is the units digit of o?
6
Suppose -57 = 13*l - 10*l. Let u = l - -37. What is the units digit of u?
8
Let z(p) = -138*p + 18 + 75*p + 73*p. What is the tens digit of z(8)?
9
Let r be (-6 + (-28)/(-8))*12/(-5). Suppose 5*c - 4*v - 1484 = 0, 0 = -r*c + 4*c - v + 604. What is the hundreds digit of c?
3
Let m = -107 + 95. What is the units digit of 86 + ((m/3)/(-4) - 4)?
3
Let c = 48 + -50. Let p(a) = 20*a**2 - a - 2. What is the units digit of p(c)?
0
Let i be 7/(-2)*210/(-49). Suppose 0 = -2*p - 3*x + 87, 20*p - i*p = -5*x + 230. What is the units digit of p?
1
Suppose -11*q = -22459 + 646. What is the thousands digit of q?
1
Suppose 4*k - 4*o - 8 = 0, -k + 0 = -4*o - 2. Suppose 0 = -k*p + 8, -p = 5*j - 6*p - 210. What is the units digit of j?
6
Suppose 11 - 23 = -2*o. Let c(m) = m**3 - 5*m**2 - m + 1. What is the tens digit of c(o)?
3
Let n be -33 + (-3)/(1/(-1)). Let s be 153/((-2)/n*-3). What is the units digit of s/(-34)*(-12)/(-5)?
4
Suppose 2909 = 9*d - 340. What is the units digit of d?
1
Suppose -4*j - 13 = 5*r, r - j + 7 = -4*j. Let p(x) = 2*x**2 - 1. Let l be p(r). Suppose 2*q - 45 = -l. What is the tens digit of q?
2
Suppose -2*s - 5*v + 363 = -0*s, 0 = -3*s + 2*v + 497. What is the units digit of s?
9
Suppose -9*u - 7 + 7 = 0. Suppose 3*f = -2*v + 372, u*v - 917 = -5*v - f. What is the hundreds digit of v?
1
Suppose 4*h - 16 = 2*d, 4*h + 2*d - 3*d = 12. Let v(c) = -4*c - 7*c + 6 + h*c + c**2 + 6. What is the units digit of v(10)?
2
Let x(l) = -11*l**2 + 3. Let o be x(-3). What is the tens digit of (10/(-1))/(-5) + (1 - o)?
9
Suppose 4*g = -3*x + 29, -5*x - 2*g = -15 - 10. Suppose 7*m - c = 4*m + 110, -x*m + 113 = 2*c. What is the tens digit of m?
3
Let z(s) be the secon
|
{
"pile_set_name": "DM Mathematics"
}
|
. Which is the fifth biggest value? (a) 4 (b) j (c) 1 (d) 2 (e) -0.5
e
Let d(c) = -c**3 + 10*c**2 - 13*c + 21. Suppose 7*f - 99 = -4*f. Let p be d(f). Let j be (2 + (-11)/5)*p/2. What is the third smallest value in 3, -3/8, j?
3
Let p = 143 - -34. Let n = p + -177. Which is the third biggest value? (a) n (b) 3 (c) 9 (d) 2/3
d
Let p be 2/10 + 493597/215. Which is the second biggest value? (a) -4/3 (b) p (c) 0.2 (d) -5
c
Let u = -10.37 + 10.07. What is the third biggest value in 59, u, -15?
-15
Let a = -30 + 37. Let o = -39 - -58. Let p = 22 - o. What is the third smallest value in p, a, -1/6?
a
Let b = -138 - -144. Let n be ((-28)/(-21))/((-28)/(-12) + -1). What is the smallest value in n, b, 1/10?
1/10
Let d = -1.98 + -0.02. Let y = d - -6. Let q = -1194 + 1196. What is the second biggest value in q, -0.2, y?
q
Let q = -4186 - -4187.58. What is the third biggest value in 0.2, 0.1, -1/3, q?
0.1
Let k be 8/(-84)*2*(-18 + 6). Let u = 400/7 - 57. What is the second biggest value in -0.2, k, u?
u
Let l(s) = s**2 + 4*s + 68. Let g be l(-8). Let y be (16/6)/((-6)/(-9)). What is the third smallest value in g, -2, y?
g
Let p = 2.558 + -3.058. Let h = -11 + 13. Which is the second biggest value? (a) 1 (b) -6 (c) h (d) p
a
Suppose 9*o - o = -8. Let t(n) be the first derivative of -n**3/3 + n**2/2 + n + 68. Let x be t(o). What is the smallest value in 1/3, x, -2/7?
x
Let z = 3.15196 + -0.15196. What is the third smallest value in -6/7, -0.2, 5, z?
z
Let l = -13 - -11. Let v be (-410)/(-5125)*1/((-2)/10). Which is the second biggest value? (a) 3 (b) l (c) v
c
Let u be ((-1078)/28)/(4/48). Let j = u - -4156/9. Which is the second smallest value? (a) j (b) -1/5 (c) -5 (d) 1/4
a
Let v = 9128 - 9115. Which is the second smallest value? (a) -0.052 (b) -3 (c) 1 (d) v
a
Let n = -0.4 + 4.4. Let f = 45 - 34. Suppose -6 = f*m + 27. Which is the second biggest value? (a) n (b) -7 (c) m
c
Let m = 14730 + -14726. Which is the smallest value? (a) m (b) 0.1 (c) 2/5 (d) 0.2 (e) 0.3
b
Let y = 62 - 117. Let z be 39/8 - (14 + y/5). Which is the smallest value? (a) z (b) 3 (c) -0.3 (d) 5
c
Let p = -54.66 - 0.34. Let c = -0.01 - 54.99. Let w = p - c. What is the second smallest value in -21, -1, w?
-1
Let y = -5756 + 8232. Let g = y + -2472.939. Let h = g - 0.061. Which is the smallest value? (a) 0.2 (b) -3 (c) h (d) 0.3
b
Let b(s) = -3*s**2 - 120*s + 992. Let z be b(-47). What is the fourth smallest value in 1464, -3, z, 4, 0.2?
z
Let x(j) = -j**2 - 13*j + 1076. Let q be x(27). What is the third biggest value in 4/9, q, -0.1, 0.5?
-0.1
Let q(y) = -y**3 - 8*y**2 + 10. Let z be q(-8). Suppose -5 - 5 = z*h. Let g be (-9)/(-15)*5 + h. What is the smallest value in 0.3, 1/4, -5, g?
-5
Let m = -1/11463 + 687803/263649. Which is the smallest value? (a) -1/6 (b) -5 (c) m (d) 0.5 (e) 0
b
Let c = -2161 + 2144. What is the second biggest value in 0.3, 3/4, c, -4?
0.3
Let p = 13243.881 + -13244. Which is the third biggest value? (a) p (b) 22 (c) -5
c
Let y = -8354 - -8353.7. Which is the fourth biggest value? (a) -1 (b) 1/50 (c) 0 (d) 3 (e) y
e
Let j = 3081 + -3082. Which is the third biggest value? (a) j (b) -0.255 (c) 4/5
a
Let r = -1222.2 - -1222.3. Which is the biggest value? (a) 0.061 (b) 0.11 (c) r
b
Let v = 1.592 - -3.408. Let l = 31 + -24. Which is the second biggest value? (a) v (b) -2 (c) l (d) 2
a
Let u be (-5)/((-1)/(-4) + (-3)/(-4)). Let g(m) = m**2 + 7*m + 12. Let j be g(u). Let n = -0.9 + -4.1. What is the fourth biggest value in n, 4, j, 3?
n
Let b = -1301.3 + 1301.1. What is the third smallest value in 3, 2/9, b?
3
Let w = -387 + 198. Let h = 187 + w. What is the fourth smallest value in h, -1, -5, 0.4?
0.4
Let u = 9558.5 + -9559. Which is the third smallest value? (a) -3 (b) -150 (c) 4 (d) u
d
Let q = -7520 - -127838/17. What is the smallest value in q, 302.7, -3?
-3
Let q = 0.05343 - 0.00043. Let r = 0.075 + -0.028. Let k = r + q. Which is the smallest value? (a) 4 (b) -5 (c) k
b
Let f = 5445 + -5442. What is the third biggest value in 2/5, 0.3, 22, f, -1?
2/5
Let t be 2/(-84)*3 - ((-75)/315 + 0). Which is the fourth biggest value? (a) -3 (b) -0.02 (c) t (d) 1/29
a
Let z = 6335 - 6334.99. What is the third biggest value in -6, 2/19, -0.7, z?
-0.7
Let m = 9.9 - 32.7. Let h = -23 - m. What is the biggest value in -11, h, 6?
6
Let l = -736 + 725. Let x be -7 - (-4 + 2 + l). Which is the third biggest value? (a) 2 (b) x (c) 0.05
c
Let b = -192 + 129. Let z be (1 - 2) + 2 + (60/(-42) - 0). What is the smallest value in z, b, -4?
b
Let s = 2 + 3. Let i be 25/(525/42) + (0 - 3). What is the second smallest value in s, -4, -0.5, i?
i
Let z(l) = -153*l + 1681. Let r be z(11). Which is the smallest value? (a) r (b) 0.11 (c) 3/5 (d) -3 (e) 4
d
Let q(f) = -3*f**2 - 41*f + 12. Let c be q(-14). What is the smallest value in 37, 3, -3.3, c?
-3.3
Let q = -661259 - -661263. Let w be 1*(2 - 2)*1. Let v = -1 + w. Which is the third smallest value? (a) -2/25 (b) q (c) v
b
Suppose 286*b + 262 = -24. What is the smallest value in -2, b, -4, -2/117, 0?
-4
Let w = 9.587 + -0.087. Let l = w + -9.4. Let s = 82 + -485/6. Which is the second biggest value? (a) l (b) s (c) 3
b
Let t = 140 + -142. Let h be (115/20 - 8)/(t/(-8)). Let z be (0 + -5)*6/(-45). What is the second smallest value in h, -0.3, z?
-0.3
Let o be ((-1)/4)/(44/(-528)). Suppose o*x = 16*x - 13. What is the third biggest value in 2/3, x, -5, -2.5?
-2.5
Let d = 13.2 - -189.8. Let k = 202.6 - d. What is the second smallest value in -30, 2/3, k, -2/3?
-2/3
Let q = -162.27 + 81.27. What is the smallest value in -2, -4/25, q?
q
Let i = 978 - 977. What is the second smallest value in -1/4, -140, i?
-1/4
Let q = -378.648 - -379. Let p = 0.352 - q. What is the second biggest value in 9, -1/14, p?
p
Let r(m) = -52*m + 516. Let y be r(10). Which is the fourth smallest value? (a) -3 (b) -0.3 (c) 2/53 (d) y (e) 1
c
Let u be 2 - (-2064)/(-354) - -4. Let s = u + -227/295. What is the fourth biggest value in 1/5, s, 1/12, -0.4?
s
Let p = -258.1 + 258.2. Which is the third smallest value? (a) -0.16 (b) -1 (c) p (d) 1/8
c
Let q = -3327 + 3324. Which is the biggest value? (a) 4/7 (b) 3 (c) q (d) 0 (e) -24
b
Let w = 9624 - 9624. What is the biggest value in -4, 1/8, -0.5, 0.54, w?
0.54
Let x = -1.3 + 0.3. Let y = -40106/7 + 5718. Let m = -247/21 - y. Which is the fourth smallest value? (a) x (b) 1/9 (c) m (d) 1
d
Let l = -2263 - -2236. What is the biggest value in 3, 0.5, l?
3
Let d = -150.03 + 2.03. Let p = d + 152. What is the fourth smallest value in 0.4, p, 0.3, -3/4?
p
Let j be ((-161)/(-92))/(42/(-12)). What is the third smallest value in -5/6, j, -1/78, 0?
-1/78
Let d = 107.4 + -64. Let f = d - 43.4. What is the third smallest value in -2/17, -16, f?
f
Let z = 15/4 + -23/6. Suppose 38 = -3*j - 43. Let m = j + 163/6. Which is the smallest value? (a) 2/3 (b) z (c) m
b
Suppose 2*h - 2*j = -56 + 38, 3*j = -4*h - 29. What is the smallest value in -2, -1/4, h?
h
Suppose 18*n - 25*n = -350. Let s be (-71)/n + 7/(98/21). Let m = -93/4 + 24. Which is the second biggest value? (a) 0 (b) m (c) 5/4 (d) s
b
Let v = -0.0532 + -173.9468. Let g = v - -170. Which is the third smallest value? (a) -2 (b) g (c) -0.9 (d) -3
a
Suppose -6*w = -3*w. Let g = 642832.94 + -642833. What is the second biggest value in -2/9, g, w?
g
Let j be ((-5)/15)/((-1)/(-2)). Let g = 496 - 507. What is the third biggest value in j, -3/4, 1/10, g?
-3/4
Let f = -24 - -26. Let w = f + 38. Let v = 40 - w. What is the biggest value in v, -5, -4?
v
Let q be 2/(-3) - 1/(-2). Suppose 3*r + 859 + 44 = 0. Let t = 1507/5 + r. Which is the second smallest value? (a) -1 (b) q (c) 4 (d) t
b
Let f = -1 - -0.2. Let y = f - -1. Let z = -208.1 - -206.1. Which is the smallest value? (a) z (b) y (c) -3/2 (d) -4
d
Let o = -1163/70 - -169/10. Which is the smallest value? (a) 24 (b) 0.5 (c) o
c
Let q = 0 + 2. Suppose -3*u - 40 = q*u. Let b = 1.150035 - -2.849965. What is the third smallest value in 3, b, u?
b
Let t = -836.7 - -837.7. Which is the second biggest value? (a) t (b) 0 (c) -202
b
Let u = -0.55 - -0.05. Let p = -23906 + 23905.76. What is the second biggest va
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c be 0/((-8)/((-12)/z)). What is c rounded to 7 decimal places?
0
Let g(k) be the third derivative of -3*k**5/20 - k**4/24 + 5*k**3/3 + 4*k**2. Let b be g(10). Round b to the nearest one thousand.
-1000
Let y = 5.229 + -5.59. What is y rounded to two decimal places?
-0.36
Suppose -6*y + 8 = -8*y, -10284 = -t - 4*y. What is t rounded to the nearest 1000?
10000
Let w = 6.1 - 6.10000005. Round w to seven dps.
-0.0000001
Let m = -5.216 + 5.75. Let a = m + -0.62. What is a rounded to 2 decimal places?
-0.09
Let u = 0.996 + -1. Let j = -0.00353 - u. What is j rounded to 4 decimal places?
0.0005
Let q(w) = 55*w**2 - 5*w + 10. Let g be q(-5). What is g rounded to the nearest one hundred?
1400
Let f = -0.0334 + 0.029. What is f rounded to three decimal places?
-0.004
Let j = 6 - -5. Let u = j - 11.03. What is u rounded to 2 dps?
-0.03
Let x = -4.04999258 + 4.05. What is x rounded to 6 decimal places?
0.000007
Suppose 0 = 4*k - 12688 - 34516. Suppose -2*v + 25506 - 1909 = -3*t, -v + k = t. What is v rounded to the nearest one thousand?
12000
Let j = -0.8 - -0.7604. Round j to two decimal places.
-0.04
Let y = -59.5 + 67.68. Let l = y + -8. Let b = l + -0.2. Round b to 2 decimal places.
-0.02
Let a = -26.08 - -28. What is a rounded to 1 decimal place?
1.9
Let c(g) = 1149*g**3 - 2*g**2 + g + 2. Let n be c(-1). What is n rounded to the nearest 100?
-1200
Let b = 0.152 - 0.15311. Round b to four dps.
-0.0011
Let p = -15.6727212846 + -2460500.3268587154. Let b = -2460542 - p. Let w = -26 - b. What is w rounded to four decimal places?
0.0004
Let l = -0.9999795 + 1. Round l to 6 dps.
0.000021
Let y = 4.07 + -3.7. Let j = 0.36999961 - y. Round j to 7 decimal places.
-0.0000004
Let s be -180*((-268)/(-8) + 0). Let g = s + 2430. What is g rounded to the nearest one thousand?
-4000
Let a = -10332.3681 + 3930.3653. Let r = a + 6399. Let d = r - -3. What is d rounded to 3 decimal places?
-0.003
Suppose 3*r - 20 = -r. Let h(c) = r - 38602*c - 321457*c - 54226*c. Let k be h(-7). Round k to the nearest 1000000.
3000000
Suppose -3*x = 4*r - 24, 31 + 9 = 5*x - r. Let q = x - 6. Let h be q + 0 + (-10 - 0). What is h rounded to 0 decimal places?
-8
Let k = -29.905 - -30. What is k rounded to 2 decimal places?
0.1
Let u be (-4)/(-4) + 4 + -2. Let i be 1/(((-6)/10)/(-3)). Suppose u*v - 169 = -3*m + 47, i*m - 4*v - 342 = 0. What is m rounded to the nearest one hundred?
100
Let q = -0.39 + -0.25. Let o = q + -18.56. What is o rounded to the nearest integer?
-19
Let j = -93 - -198. Let b = 105.63 - j. Round b to one dp.
0.6
Let p = 12.3 - -0.7. Let c = 2788687.75 + -2788674.7500007. Let d = p - c. Round d to six dps.
0.000001
Let u = -3.3 + 3.51. Let w = u + -4.11. Let s = 3.21 + w. Round s to 1 dp.
-0.7
Let h = -0.5 + 1.5. Let l = 1.000004 - h. What is l rounded to 6 decimal places?
0.000004
Let f = -8367204.46 - 181205.54. Let n = f + 8548405.399961. Let s = -4.6 - n. What is s rounded to five dps?
0.00004
Let t = 7233654 + -18133654. What is t rounded to the nearest one million?
-11000000
Let s = -320 + 188. Let m = 131.9919 + s. Round m to three dps.
-0.008
Let h = -0.05 + -0.01. Let m = h + 0.12. Let v = m - 0.060002. Round v to six decimal places.
-0.000002
Let m = 1.52 - -0.18. Let i = 0.2 + -0.1. Let x = i + m. What is x rounded to 0 dps?
2
Let x = 99723 - 99621.123. Let m = 217 - 115. Let u = x - m. What is u rounded to two decimal places?
-0.12
Let u be (6 + -8)/(4/(-6)). Suppose -u*m - 5300 = -2*m. What is m rounded to the nearest one thousand?
-5000
Suppose 0 = -0*h + 2*h + 2. Let p be (-671993)/(-14) - h/2. What is p rounded to the nearest 10000?
50000
Let l = -0.038 - -0.038000119. Round l to 7 dps.
0.0000001
Let x = -2776264065 + 2776264049.00000027. Let p = 3.3 + -19.3. Let g = x - p. What is g rounded to 7 decimal places?
0.0000003
Let n(a) = 4759229*a + 1. Let z be n(1). Let w = z - 544120. Let g = -6015110 + w. What is g rounded to the nearest 1000000?
-2000000
Let z = 251 + -250.843. Round z to 2 dps.
0.16
Let n be (2/(-2))/8 - 213600003/(-24). Round n to the nearest one million.
9000000
Let s = -12.9 + -0.1. Let p = s + 12.99944. What is p rounded to four dps?
-0.0006
Let r = -1378.42 + 1367. What is r rounded to 0 decimal places?
-11
Let h be 23505*((-20)/12 - 5). Round h to the nearest ten thousand.
-160000
Let m = -0.14 + -0.16. Let k = -1127.09996 + 1127.4. Let o = k + m. Round o to five dps.
0.00004
Let q = -3119255339.07130164579 - -0.07130164579. Let c = 3119255195.0000063 + q. Let g = c - -144. Round g to six decimal places.
0.000006
Let g = -3616869 - -3616880.0000132. Let a = -11 + g. What is a rounded to 6 decimal places?
0.000013
Suppose 2*r + 36 - 5 = t, -2*t + 70 = 4*r. Round t to the nearest 10.
30
Let z = 20 - 30. Let r = z + 10. Suppose r*i = 2*i - 11200000. What is i rounded to the nearest one million?
6000000
Let p = -14 + 7. Let i = p - -7.001. What is i rounded to three decimal places?
0.001
Let c be (-9)/(-2) + 8/16. Suppose c*z + 3269990 = 3*h - 0*h, -2*h + 2179992 = -4*z. Round h to the nearest 100000.
1100000
Let j = 109 + -107.23. What is j rounded to one decimal place?
1.8
Let w be (-2 - 2*-1)/2. Let a be (w - 2) + -152815 + 2. Let m = a + 34815. What is m rounded to the nearest ten thousand?
-120000
Suppose -2*d - 2*d - 164 = 0. What is d rounded to the nearest ten?
-40
Let m = -29 - -40. Let g = 162370 + -162380.99972. Let k = g + m. Round k to four dps.
0.0003
Let m be (-36720002)/6 + 0 - (-9)/27. Round m to the nearest 1000000.
-6000000
Let l be (4 + -1)*4/6. Suppose 3*q = l*q + 2167380. Let f = 3367380 - q. Round f to the nearest 100000.
1200000
Let k = -3 - -3. Suppose p + k*p - 3*z = -9, -2*z = 3*p + 16. What is p rounded to the nearest ten?
-10
Let y = 1191307255.99999962 + -1191307271. Let b = y - -15. Round b to 7 dps.
-0.0000004
Suppose 5*u - 3520015 = 4*b, 0*b - b = u + 879997. What is b rounded to the nearest one hundred thousand?
-900000
Suppose -1740 = 56*s - 59*s. Round s to the nearest one hundred.
600
Let g = 93 - 82.8. Let r = -10.2000069 + g. Round r to 6 dps.
-0.000007
Let u = -264.9476 - 0.0524. Let c = u + 264.867. What is c rounded to two dps?
-0.13
Let a = -3 - -3.0000007. What is a rounded to seven dps?
0.0000007
Let j(n) = -818332*n - 8. Let y be j(6). Round y to the nearest 100000.
-4900000
Let d = 4250 + -1568. Suppose -t + 4*q - 22 = -0, 5*t + 89 = -q. Let p = t - d. Round p to the nearest 1000.
-3000
Let i = 35241.75631 + -2089532044.75631. Let q = i + 2089496716.9999963. Let z = -86 - q. Round z to six decimal places.
0.000004
Let n be (-17292)/6 - (4 - 1). Let u = n - -1585. What is u rounded to the nearest 1000?
-1000
Let b be 564/(-8) + 6/(-4). What is b rounded to the nearest ten?
-70
Suppose n - 59011 = -5*y, -2*n - 2*y - 3*y = -118037. Let a = n - 28026. Round a to the nearest ten thousand.
30000
Let w(z) = -2*z**3 - 21*z**2 - 2*z - 11. Let g be w(-17). What is g rounded to the nearest 100?
3800
Suppose -3*z = c - 11, -z + 0*z + 1 = 3*c. Let k = 16 + -11. Suppose 5*h - 3425 = 2*v, z*h = 5*h - k. What is v rounded to the nearest one thousand?
-2000
Let s = 0.10932 - -1.83508. Let t = -2.257 + s. Let v = t - -0.31. What is v rounded to three dps?
-0.003
Suppose 10*n + 7830027 = -3119973. What is n rounded to the nearest 100000?
-1100000
Let x = -18.8 + 0.8. Let s = x - -34.7. Let j = 10.6 - s. What is j rounded to the nearest integer?
-6
Let j = 13.905 + -0.205. Let y = -13.70000138 + j. Round y to seven decimal places.
-0.0000014
Let q(t) be the first derivative of 10*t**3/3 - 2*t**2 - 9. Let b be q(-3). What is b rounded to the nearest 10?
100
Let m(i) = -i + 2. Let y be m(2). Suppose 3*c = -y*c + 6. Suppose 0 = c*a + 74 + 124. What is a rounded to the nearest ten?
-100
Let f = -8.1 + 80.1. Let i = 72.66 - f. Round i to 1 dp.
0.7
Let m = -14.9 + 14.8999344. Round m to six decimal places.
-0.000066
Let d = -9 - -35. Let o = d - 25.983. Let f = o + -0.01634. What is f rounded to four decimal places?
0.0007
Let q be (-2281)/6 - 2/(-2*6). What is q rounded to the nearest one hundred?
-400
Let n(x) be the third derivative of x**5/60 - x**4/4 + x**3/2 - x**2. Let l be n(5). Let m be l/(-5) - 7984/(-40). Round m to the nearest 100.
200
Let b = -13 - -13.00046. Round b to four dps.
0.0005
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
9367565 to the power of 1/7, to the nearest integer?
14
What is the square root of 1270307509 to the nearest integer?
35641
What is 32940303 to the power of 1/10, to the nearest integer?
6
What is 605380508 to the power of 1/2, to the nearest integer?
24604
What is the cube root of 6137408613 to the nearest integer?
1831
What is 6052760 to the power of 1/2, to the nearest integer?
2460
What is 359401366 to the power of 1/8, to the nearest integer?
12
What is the seventh root of 3856186448 to the nearest integer?
23
What is the square root of 553574000 to the nearest integer?
23528
What is 46043651 to the power of 1/2, to the nearest integer?
6786
What is the third root of 1357225245 to the nearest integer?
1107
What is the cube root of 219384949 to the nearest integer?
603
What is 55732250 to the power of 1/2, to the nearest integer?
7465
What is the third root of 231519117 to the nearest integer?
614
What is the cube root of 99082489 to the nearest integer?
463
What is 79686908 to the power of 1/5, to the nearest integer?
38
What is 74356833 to the power of 1/2, to the nearest integer?
8623
What is 2270261236 to the power of 1/7, to the nearest integer?
22
What is 2128558455 to the power of 1/8, to the nearest integer?
15
What is the tenth root of 445990358 to the nearest integer?
7
What is the sixth root of 574212868 to the nearest integer?
29
What is 513878544 to the power of 1/3, to the nearest integer?
801
What is 493880984 to the power of 1/2, to the nearest integer?
22223
What is 75697212 to the power of 1/8, to the nearest integer?
10
What is 1351378180 to the power of 1/3, to the nearest integer?
1106
What is 12467992 to the power of 1/5, to the nearest integer?
26
What is the third root of 62334846 to the nearest integer?
397
What is the tenth root of 88419400 to the nearest integer?
6
What is 7114662 to the power of 1/4, to the nearest integer?
52
What is 844617975 to the power of 1/3, to the nearest integer?
945
What is the third root of 35163848 to the nearest integer?
328
What is the cube root of 1410744144 to the nearest integer?
1122
What is 170133556 to the power of 1/4, to the nearest integer?
114
What is 23936140 to the power of 1/6, to the nearest integer?
17
What is the square root of 2957481064 to the nearest integer?
54383
What is the tenth root of 2650534980 to the nearest integer?
9
What is the ninth root of 295102145 to the nearest integer?
9
What is the sixth root of 1864988377 to the nearest integer?
35
What is the cube root of 418919926 to the nearest integer?
748
What is the cube root of 1204483295 to the nearest integer?
1064
What is 2917664550 to the power of 1/2, to the nearest integer?
54015
What is 81443748 to the power of 1/3, to the nearest integer?
433
What is 671885298 to the power of 1/5, to the nearest integer?
58
What is the third root of 252754412 to the nearest integer?
632
What is 1608948038 to the power of 1/4, to the nearest integer?
200
What is 931181902 to the power of 1/2, to the nearest integer?
30515
What is the fourth root of 289660037 to the nearest integer?
130
What is 495609612 to the power of 1/2, to the nearest integer?
22262
What is 1622115540 to the power of 1/3, to the nearest integer?
1175
What is 538986830 to the power of 1/2, to the nearest integer?
23216
What is 87364305 to the power of 1/10, to the nearest integer?
6
What is the square root of 2471950673 to the nearest integer?
49719
What is the eighth root of 2750507537 to the nearest integer?
15
What is the cube root of 247768487 to the nearest integer?
628
What is the cube root of 385680178 to the nearest integer?
728
What is the third root of 125085897 to the nearest integer?
500
What is the square root of 381047042 to the nearest integer?
19520
What is 6860015713 to the power of 1/2, to the nearest integer?
82825
What is 1522814023 to the power of 1/2, to the nearest integer?
39023
What is 3238490750 to the power of 1/8, to the nearest integer?
15
What is the square root of 606226652 to the nearest integer?
24622
What is 1376504 to the power of 1/4, to the nearest integer?
34
What is the cube root of 3974541331 to the nearest integer?
1584
What is the fifth root of 552541625 to the nearest integer?
56
What is the cube root of 238013989 to the nearest integer?
620
What is 39954825 to the power of 1/4, to the nearest integer?
80
What is 527732666 to the power of 1/2, to the nearest integer?
22972
What is 116950247 to the power of 1/6, to the nearest integer?
22
What is the cube root of 443422521 to the nearest integer?
763
What is the third root of 394352280 to the nearest integer?
733
What is the square root of 2213322634 to the nearest integer?
47046
What is the third root of 16485349 to the nearest integer?
255
What is the eighth root of 502047976 to the nearest integer?
12
What is 886355282 to the power of 1/9, to the nearest integer?
10
What is 49676586 to the power of 1/2, to the nearest integer?
7048
What is 3672947743 to the power of 1/3, to the nearest integer?
1543
What is the cube root of 1713166029 to the nearest integer?
1197
What is the square root of 170376703 to the nearest integer?
13053
What is 260945819 to the power of 1/7, to the nearest integer?
16
What is the eighth root of 41159579 to the nearest integer?
9
What is the ninth root of 2606503008 to the nearest integer?
11
What is the square root of 656427007 to the nearest integer?
25621
What is the sixth root of 492236217 to the nearest integer?
28
What is the square root of 70746706 to the nearest integer?
8411
What is the square root of 252360464 to the nearest integer?
15886
What is 178531622 to the power of 1/2, to the nearest integer?
13362
What is the tenth root of 23513372 to the nearest integer?
5
What is the square root of 5532471617 to the nearest integer?
74381
What is the seventh root of 1075422806 to the nearest integer?
20
What is 129710972 to the power of 1/6, to the nearest integer?
22
What is 11451017 to the power of 1/5, to the nearest integer?
26
What is 61578346 to the power of 1/8, to the nearest integer?
9
What is 2722632620 to the power of 1/8, to the nearest integer?
15
What is the square root of 3565035934 to the nearest integer?
59708
What is the sixth root of 1348663163 to the nearest integer?
33
What is 13858482 to the power of 1/9, to the nearest integer?
6
What is 65218272 to the power of 1/2, to the nearest integer?
8076
What is the square root of 14764646 to the nearest integer?
3842
What is 50544946 to the power of 1/4, to the nearest integer?
84
What is 146047368 to the power of 1/4, to the nearest integer?
110
What is 2917273580 to the power of 1/2, to the nearest integer?
54012
What is 92285681 to the power of 1/2, to the nearest integer?
9607
What is 7277561 to the power of 1/3, to the nearest integer?
194
What is 750410088 to the power of 1/10, to the nearest integer?
8
What is the third root of 167571857 to the nearest integer?
551
What is 431928642 to the power of 1/10, to the nearest integer?
7
What is the sixth root of 115869961 to the nearest integer?
22
What is the ninth root of 137552187 to the nearest integer?
8
What is 259658541 to the power of 1/9, to the nearest integer?
9
What is 73884785 to the power of 1/2, to the nearest integer?
8596
What is the third root of 67192606 to the nearest integer?
407
What is the third root of 114726749 to the nearest integer?
486
What is the third root of 3581018158 to the nearest integer?
1530
What is 87468764 to the power of 1/2, to the nearest integer?
9352
What is 2380601561 to the power of 1/8, to the nearest integer?
15
What is the square root of 267513250 to the nearest integer?
16356
What is the square root of 2288452878 to the nearest integer?
47838
What is the sixth root of 49135848 to the nearest integer?
19
What is the cube root of 4140701 to the nearest integer?
161
What is the third root of 55767356 to the nearest integer?
382
What is the cube root of 175911316 to the nearest integer?
560
What is 58978488 to the power of 1/2, to the nearest integer?
7680
What is the ninth root of 203432745 to the nearest integer?
8
What is the cube root of 1259365019 to the nearest integer?
1080
What is the sixth root of 135930224 to the nearest integer?
23
What is 20719
|
{
"pile_set_name": "DM Mathematics"
}
|
2*(-1)/(1/(-3)). Let m be z(q). Solve -m*b = -5*b - 3 for b.
-1
Let l(x) be the third derivative of x**6/120 + x**5/10 + x**4/8 - 5*x**3/6 + 2*x**2. Let o be l(-5). Solve o*k = 9*k for k.
0
Let o(u) = 2*u**2. Let j be o(-2). Let y = -8 + j. Solve i + y = 3 for i.
3
Let x = -38 - -43. Solve -a = x - 1 for a.
-4
Suppose 9 = 5*n + 4*f, -2*n - 3*f + 3 = n. Suppose 2*g - n = g. Solve 3 = -4*u + g*u for u.
3
Let m(d) = 20*d + 80. Let a be m(-4). Suppose 3*t = 6*t - 30. Solve 5*z + t = -a*z for z.
-2
Let j be 42/8 + 2/(-8). Let y = 9 - j. Solve 0 = -3*k - 1 + y for k.
1
Suppose 3*i - 7*i = -16. Solve -2 + 18 = -i*g for g.
-4
Let t = -9 - -3. Let j = 11 + t. Solve 13 = j*y - 2 for y.
3
Let n = 6 + -10. Let k be -1*(n - -2)*2. Let l = k + -2. Solve -l*z + 6*z = 20 for z.
5
Suppose 3*s - 13 = 2*d - 50, -d - 4*s = -2. Solve -d + 4 = -2*n for n.
5
Let a = -4 + 8. Let p = 14 - 14. Solve p = a*u - 5 - 11 for u.
4
Suppose -2*o - 4*r - 18 = -o, -4*o + 33 = -5*r. Solve 15 = -b - o*b for b.
-5
Suppose 0 = -o + 3*m + 13, -26 = o - 3*o + 2*m. Let p = o + -9. Solve -3*c = -p*c for c.
0
Let p be (-2)/4 + (-35)/(-10). Suppose p - 1 = h. Solve r = -h*r + 3 for r.
1
Let s = 19 - 11. Let r = 3 - 1. Suppose r*w - 1 = 7. Solve w*m = 4 + s for m.
3
Let l be -6*1*(-5)/5. Solve -2*g + l = -4*g for g.
-3
Let y be 3/(-2)*16/(-3). Let t = y + -6. Solve -t*i = i for i.
0
Let f be (1/(3/57))/1. Suppose 0 = -8*l + 4*l + 20. Solve l*g - f - 6 = 0 for g.
5
Let n be 10/(-4)*(-16)/10. Suppose 0*y + 2 = 2*m - 2*y, -5*y = -n*m + 3. Solve o + 1 + m = 0 for o.
-3
Let p be ((-12)/(-14))/((-3)/(-21)). Let s = -33 + 36. Let f be (p - s) + 4/2. Solve 0*n + 20 = -f*n for n.
-4
Let w = 14 - 12. Let d be -4 + 2 + 0 - 10. Let m be (d/(-9))/(2/3). Solve 0 = -m*o - 0*o + w for o.
1
Let o be 22/6 + 1/3. Let f(i) = -i**3 + 4*i**2 + 2*i - 13. Let c be f(3). Solve 0*p + c*p = o for p.
2
Let p be 6 + 2/(-2 + 0). Solve p*g + 3 = -2 for g.
-1
Let l = 17 - 11. Let n be 6/1*l/9. Let m = -3 + 9. Solve y = n*y - m for y.
2
Suppose -2*m - 12 = -4*p, -5*p + 2*p + 2*m + 11 = 0. Let h be 2/(-3)*(-2 - p). Suppose -3*i - 4*w + 14 = -0*i, h = 5*i - 4*w. Solve o + 4 - i = 0 for o.
-2
Let w = 5 + 3. Let g be (-15)/20 + 22/w. Solve g*d = d - 2 for d.
-2
Let w(v) = v**2 - 4*v - 5. Let y be w(5). Let p be 3 + 0 + 0 + y. Solve -j = p + 2 for j.
-5
Let o = 20 - 18. Suppose 6 = o*q + q. Solve 0 = q*x - 5 - 3 for x.
4
Let g be -1 - (-3 + (5 - 4)). Solve g - 11 = 2*i for i.
-5
Let k(f) = f**2 + 13*f + 40. Let z be k(-8). Solve z = -5*w - 3 - 12 for w.
-3
Let v(m) = m - 7. Let g be v(10). Suppose -5*l + 7 + 28 = g*t, 3*t + 3*l - 27 = 0. Solve -t*s + 15 = -0*s for s.
3
Let t(n) = -6*n - 4. Let b be t(-1). Solve 0 = -a - b*a - 9 for a.
-3
Let b = 4 - 7. Let y be b - -1 - (-10 - -5). Suppose f = 5*n + 4*f - 24, -4*f = -y*n - 3. Solve n*u = -4 - 11 for u.
-5
Let c(p) = -14*p. Let o be c(-1). Let v = o + -10. Solve 2*t = v*t + 6 for t.
-3
Let v(c) = 13*c**3 - 1. Let h be v(1). Let g be 1/(-4) - (-39)/h. Solve -2 = g*a - a for a.
-1
Let s(m) = -m**3 - 12*m**2 + m + 28. Let r be s(-12). Solve -5*n + n - r = 0 for n.
-4
Let w = -165 + 173. Solve 7*l - w*l - 4 = 0 for l.
-4
Let b be -2 + (1 - (-6 - -4)). Solve b = r + 2 for r.
-1
Suppose -2*o - 1 + 17 = 0. Let n be 20/o - 2/4. Solve n*z - 2 = -0*z for z.
1
Let o(z) = z**3 - 10*z**2 + 19*z - 22. Let f be o(8). Suppose 12 = g - 2*u - 2, 7 = 3*g + u. Let l be (-2)/4 - (-6)/g. Solve -f*s = l + 3 for s.
-2
Let c(i) = i**3 - i**2 - i. Let o be c(-1). Let m be (-1)/o + -2 + 1. Suppose m = -3*y, -j = -6*j + 3*y + 10. Solve 3 = j*r - r for r.
3
Let d be ((-2)/(-6)*-2)/(5/(-45)). Solve 0 = 3*p + d - 3 for p.
-1
Let v = -67 + 72. Solve -w = -v*w for w.
0
Suppose -28 - 14 = -2*f. Let i be f/4 - (-1)/(-4). Suppose -z - 5*m - i = 0, -z + 2 + 0 = -2*m. Solve -3*g + 0 - 15 = z for g.
-5
Let h be (-4)/(-10) + (-18)/(-5). Solve 0 = 2*s + h + 6 for s.
-5
Suppose -6 - 14 = 4*t, 7 = -4*h - 3*t. Solve 6*c = h*c + 12 for c.
3
Suppose 0 = 4*k + 2*j + j - 39, -5*j = -4*k - 1. Solve 2*v - 20 = k*v for v.
-5
Let t = -11 - -13. Let a = t + 6. Solve -3*s = -7 - a for s.
5
Suppose -14 = -8*y + 18. Solve 0 = -5*q - y - 1 for q.
-1
Let u be ((-10)/(-2) - 2) + -1. Solve 1 = u*f - f for f.
1
Suppose 5*y = 6 + 14. Solve j = 2*j - y for j.
4
Let p be 2 + (-1)/(-2)*-2. Suppose 5*z + p - 11 = 0. Suppose -z + 6 = 2*k. Solve -4 = -k*m + 4*m for m.
-2
Suppose -3*s + 6*s + 15 = 0. Let f = 8 + s. Suppose -f = r - 2*r. Solve r*u + u = -16 for u.
-4
Let l(k) = 2*k**2 - 2*k + 2. Let h be l(2). Let t = 11 + -11. Solve t = d + d - h for d.
3
Let w = 37 + -17. Suppose -2*i = 4*d - 10, -i - 3*i = -2*d + w. Solve 0*s = -d*s + 8 for s.
2
Let n(z) = z**3 - 5*z**2 - 4. Let i be n(5). Let t(l) = -2*l - 6. Let b be t(i). Solve r + 7 = b for r.
-5
Suppose -4*g + 5*m = -33, 2*m = -4*g - 2*m + 24. Suppose j + 8 = 2*s, 4*j + 2 + 4 = -5*s. Let v = j + g. Solve 0 = 7*c - v*c for c.
0
Let m(y) be the second derivative of y**4/6 + y**3/2 + y**2/2 - y. Let i be m(-2). Suppose 0 = 5*u + f + 2, -i*f + 0*f - 6 = -5*u. Solve b = -u*b for b.
0
Let b = 11 - 11. Suppose 2*a - 6 + b = 0. Solve -a*f = -7*f - 8 for f.
-2
Let a = -81 - -85. Solve 2*h + a = 6*h for h.
1
Let f(v) = v + 1. Let k be f(2). Suppose k*h - 45 - 15 = 0. Solve -2*q + 6*q - h = 0 for q.
5
Suppose 0 = -3*i + 7 + 8. Let n = -5 + i. Solve 3*b + 2 - 5 = n for b.
1
Let s be (-1 - 3 - -4)/1. Solve -5*g + s*g = 20 for g.
-4
Suppose 0 = -4*i + 7*i. Solve i = n + 4*n + 20 for n.
-4
Suppose 4*y - 2*i - 6 = 0, -5*y = -3*y - 2*i. Let r be 2/(8/2)*0. Suppose -m + y*m = r. Solve m*d = 2*d for d.
0
Let c = 62 - 60. Solve -c*a - a - 15 = 0 for a.
-5
Let g(z) = -2*z + 1. Let b be g(-1). Suppose -3*y + 1 + 8 = 0. Suppose 0 = 5*a + 5*s - 30, a + 3 + y = 3*s. Solve 18 = -a*j + b for j.
-5
Let a be 2 - (-1 - 1)/2. Let z = a + -8. Let n = 5 + z. Solve n*m + 4 = -m for m.
-4
Suppose 9*g - 45 = 135. Solve 2*t - g = -2*t for t.
5
Let b(q) = q**2 - 4*q + 3. Let f(y) = 3*y**2 - 12*y + 9. Let i(w) = 7*b(w) - 2*f(w). Let s be i(4). Solve s = -n + 7 for n.
4
Suppose c - 5*v - 20 = 0, 2*v - 3 = 3*v. Solve -c*u = -2*u - 15 for u.
5
Suppose 126 - 36 = 5*z. Let n = 26 - z. Let m = 13 - n. Solve -m*o = -2*o - 3 for o.
1
Suppose -3*y - 6 = 2*g + y, 3*g - 3*y + 27 = 0. Let a = 9 - g. Solve 1 - a = 3*w for w.
-5
Let f(b) = -3*b. Let j = -5 + 4. Let r be f(j). Suppose 5*x + 4*y - 37 = 0, -3*x + r*y = -6 - 0. Solve -x*l + 5 = -0 for l.
1
Let n(i) = -i**2 - 6*i - 2. Let h be n(-2). Let c(d) = 21*d**2 - d. Let a be c(1). Suppose 0*q + 10 = 5*q. Solve -a = h*f - q*f for f.
-5
Suppose 0 = -2*p + 5*p - 6. Let y = 9 + 9. Solve 4*b + y = -p for b.
-5
Let m = -26 + 31. Suppose -8 = -m*o + o. Solve o*t - 5*t = 9 for t.
-3
Suppose 3*h - 2*h = 0. Suppose -2*q + p + 18 = -16, 5*q = 5*p + 85. Let a = q + -12. Solve -a*c = -h - 5 for c.
1
Suppose -4*v + 12 = -0*v. Solve 0 = -2*t + v*t for t.
0
Let t(g) = -g**2 + 11*g + 12. Let c be t(12). Suppose -5*i - k = 35 + 20, 0 = 4*k + 20. Let w be ((-4)/2)/(2/i). Solve 2*f - w + 4 = c for f.
3
Suppose 3*h = 7*h. Suppose h = 3*n + 19 - 64. Solve n = 4*w + w for w.
3
Suppose 0 = d - 5*d. Let u be 25 + (-3 - d) + 3. Solve -q = -6*q + u for q.
5
Let c = 3 + -1. Let d be 2 - (1 - (13 - c)). Suppose v + 2*v - 9 = 0. Solve -d = s + v*s for s.
-3
Suppose 0 = 4*m - r - 18 + 2, -4*m + 16 = -5*r. Suppose 0 = -3*p + 2*p + 6. Solve -p*j = -m*j + 2 for j.
-1
Suppose -m + w + 4 = 3*w, -w - 5 = -3*m. Solve -2*l + 3*l = m for l.
2
Let s(i) = -i**3 + 5*i**2 + 6*i + 7. Let b be s(6). Let z(v) = -2*v + 3. Let n be z(b). Let p = n - -16. Solve 0 = 3*x + 2*x + p for x.
-1
Let g be (6/8)/((-3)/12). Let j be (g/(-1))/(-1 + 2). Solve 3 + 3 = j*f for f.
2
Suppose 2*s - b - b = 10, 5*b - 5 = -5*s. Solve p = s*p for p.
0
Let j(h) = -h**3 - 5*h**2 + 6*h + 4. Suppose -d + 4*c - 6 = 0, -5*c + 4 = -2*d - 8. Let m be j(d). Solve 10 = m*t - 2*t for t.
5
Suppose 0 = -3*v - 0*v + 12. Let w = 7 - v. Solve w*x + 20 = -x for x.
-5
Suppose x = -3*w - w + 2, 6 = 4*w - x. Suppose y + 14 = 5*n + 2*y, 5*n - 3*y = 18. Solve -n + w = -o for o.
2
Let z(f) = 1 + 0 + 3*f - 2*f. Let v be z(2). Suppose -3*l = k - 10, -v*k = -4*l - 0*k + 35. Solve l*g + 7 - 2 = 0 for g.
-1
Let t(l) = l - 16. Let k be t(18). Solve -k*m = -4 - 2 for m.
3
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
he first derivative of 15/2*g**2 - 1/4*g**4 + 14/3*g**3 + 3*g + 11. Let o be u(15). Solve -2*l + 0*q = q + 7, 0 = q - o for l.
-5
Let g be (-6)/9*3 + 161. Let q = 166 - g. Suppose 5*a - 97 = 3*o, 0 = a - 3*o - 12 - 5. Solve -4*x + 4*b + a = 0, b = 4*x - 7*x + q for x.
3
Suppose 3*o - 639 = -6*o. Let v be (o + 1)*1/(-4)*-3. Let b be 1284/v + (-4)/(-18). Solve -3*d = 3*s + b, 4*d + 23 = -s - 0*s for s.
-3
Let z(l) = l - 4. Let c be z(6). Suppose -6*h + 34 = -134. Suppose 17*o - h = 10*o. Solve 0 = o*p + m - 25, -c*p + 4*m = 2*p for p.
5
Suppose -170*d = -166*d - 3*c - 24, -5*c - 32 = -4*d. Solve 2*l - 3*n = 1, 2*n = 3*l - n + d for l.
-4
Suppose -3*s = -4*p - 7 - 30, 5*s = -4*p - 45. Let c be 6/p - ((-258)/30 - -3). Solve c*y - 4*v + 3 + 3 = 0, 3*y - 2*v + 4 = 0 for y.
-2
Let b be (2 - -6) + (-19 - -16). Solve -3*a - 2*a + 4*x = -22, b*x + 15 = 0 for a.
2
Let s(j) = j**2 + 10*j - 5. Let b be s(-8). Let x be (2 + -188)*(b/9 + 2). Let y = x + -62. Solve 3*i + 2 = 3*d - 4, -i + 5*d - 14 = y for i.
1
Let c(z) = z**3 - z**2 - 2*z - 2. Let i be c(-1). Let f be i*(15/(-10))/1. Suppose 0 = -0*r + 14*r - 28. Solve 0 = 3*h + r*s + f - 16, 3*h - 4*s = -17 for h.
1
Let t(w) = -22426 - 16*w + 4*w + 22457 - 15*w**2 - w**3. Let p be t(-14). Solve 5*v + i - 27 = 0, -p*v + 21 = 2*v - 2*i for v.
5
Let n be (-70)/(-21) - 3/9. Let h = 4 + n. Suppose 18 = -6*c + h*c. Solve 0 = -4*z + f + c, -z = -5*f + 4*f - 3 for z.
5
Suppose -18*b + 22*b - 30 = 5*g, -2*b + 12 = -3*g. Suppose 2*u + 0*u = 8. Solve 0 = -u*w + 3*y - b, -21 = -4*y - 1 for w.
0
Suppose 21458 = 97*y + 332*y + 1724. Solve -4*f - 3*u = -3, -y*u = 4*f - 44*u - 2 for f.
0
Let y = -79 - -77. Let s be (-1060)/220 + y/11. Let o be 0*s/(8 - 3). Solve o = 4*a, 0 = 2*u - 3*a + 4*a - 8 for u.
4
Suppose -6*r - 1915 = -1927. Let u be ((-2)/3)/((-6)/18). Solve 2*b - 6 = r*z, -2*z - u*b + 0 = 10 for z.
-4
Let t = 370 - 325. Let m be 4/(396/t + -8). Solve -2*l = -3*b + 19, -3*b = m*l + b - 10 for l.
-2
Let s(a) = -3*a**2 + 88*a - 23. Let f be s(29). Let v be 92/12*(-3)/(-1). Let h be v*(1 + -2 - -2). Solve -3*t + g + 2*g + f = 0, -g = 4*t - h for t.
5
Suppose -24*s - 61 = -29 - 392. Solve -3*q + 10 = -4*n - q, 2*q - s = 5*n for n.
-5
Let w = -12 + 13. Suppose -3*l + 6 = 0, -k - 2*l + w = -2*k. Solve 0 = k*j + 3*i - 5*i - 7, i = -2*j for j.
1
Suppose 2 = -5*r - 4*f, 3*r + 4*f + 0 = -6. Let x be (1 + 1)/(r - 6/4). Solve y + z = 2, -3*z + 3 = x*y - 8 for y.
5
Let p(a) = -3*a**3 - 109*a**2 - 43*a - 252. Let y be p(-36). Solve m - 5*m + 5*k - 6 = y, 2*m + k = -10 for m.
-4
Suppose 0 = -79*t + 1903 - 560. Solve z - 16*p = -t*p + 3, 2*p = z - 3 for z.
3
Let o(q) = -q**3 - 5*q**2 + 3*q - 15. Let w(h) = -h**3 - 5*h**2 + 2*h + 18. Let m be w(-4). Let l be o(m). Solve 0 = 2*c - i + 2*i - 4, 2*c = -l*i + 8 for c.
1
Let k be ((-6)/(-4))/(2/(1 + 3)). Suppose k*c + 2*c = -2*c. Solve c = 5*w + 3*r, -4*w + 9*w = -r for w.
0
Suppose 0 = -3*k - 5*j - 145 + 136, 0 = -5*k - 3*j + 1. Solve -11*z = 5*i - 7*z + 2, k*i - 4*z - 16 = 0 for i.
2
Let h(s) = -2*s - 4. Let b(l) = l + 2. Let a(f) = -11*b(f) - 6*h(f). Let v be a(-1). Let q be 2/v - (4 - 2 - 2). Solve 4*n - 2*w + 7 = w, -7 = -q*n + 5*w for n.
-4
Suppose -14524*a = -14552*a + 84. Solve -t = 2*l - 12, -a*t + 4*t + 4*l - 20 = 0 for t.
4
Let o(h) = 4*h + 28. Suppose -3*v + 4*a = 9, 5*v + 17 - 2 = -4*a. Let j = -10 - v. Let p be o(j). Solve -4*d + 12 = p, -3*d = -z - d - 8 for z.
-2
Let z = 6 + 9. Let q(x) = 5*x**2 + 9*x + 4. Let m be q(-1). Solve m = -4*v + s - 0*s + z, -4*v = -2*s - 18 for v.
3
Suppose 2*c + 1227 - 1237 = 0. Solve c*p - 10*p + 22 = -j, 5*p + 4*j - 37 = 0 for p.
5
Suppose -6*s - 20 = 40. Let v be (s - -5)/((-15)/6). Solve -v*m + 1 = w, w + 2*w - 3 = -4*m for m.
0
Let t be ((-270)/(-60))/((-2)/116). Let k = -259 - t. Solve -11 = -k*d + 3*s, -2*d + s + 17 = 2*d for d.
4
Let n(d) be the second derivative of -d**3/6 - 5*d**2/2 + 8*d - 7. Let t be n(-7). Solve -5*g = t*o - 21, -2*o + 2*g = -0*o + 14 for o.
-2
Suppose -56*b + 1003 = -4*b + 7*b. Solve 21*k + 19 = b*k - 3*a, 5*k = 5*a + 20 for k.
-1
Let l be 1*(-2 - 2) + (-654)/6. Let k = l + 123. Suppose -5*g + 7 + 8 = 0. Solve -u = 2*z - g + k, -3*u = -3*z + 12 for u.
-5
Let u(w) be the third derivative of -11*w**4/24 + w**3/6 - 16*w**2. Let c be u(9). Let t = c - -102. Solve 3*p = 3*s + 3 + 3, t*p = 3*s + 3 for p.
-3
Let i = -17 + 31. Suppose -4*u - i = -26. Suppose -21 = u*o - 10*o. Solve 2*l + o*x = -22, -8 = -0*x + 2*x for l.
-5
Let q(c) = -16*c - 215. Let f be q(11). Let n = f + 395. Solve 0 = -n*d - 4, 2*d - 1 = -5*u - 3 for u.
0
Let n = -8 + 19. Let c be (n/6)/((-10)/(-60)). Suppose 2*j = -4*o - 3*j + 11, -3*j - c = -2*o. Solve o*x = -v + 19, -x = 3*x - 2*v - 10 for x.
4
Suppose 25*l + 6*l = 40*l - 36. Solve -l*o + 2 = 5*u, 2*o - 28*u = -27*u - 6 for o.
-2
Let m be -17 + -2 - -12 - (2 - 20). Solve -2*r = k + m, 4*r - 3*k = -0*r + 3 for r.
-3
Suppose -1 = -3*i + 2. Let k be 2/(-13) - (1634/26)/i. Let w = k + 68. Solve -18 = 5*b - 4*d, -2*b - w*d = -4*b - 14 for b.
-2
Suppose -2*j + 90 = 17*w - 12*w, 7*w - j - 145 = 0. Solve 2*c = -4*v + 7*c + 1, 0 = -2*v - 4*c + w for v.
4
Let x(j) be the first derivative of -j**4/4 - 5*j**3/3 + 7*j**2/2 - 3*j - 12. Let d be x(-7). Let h = d - 44. Solve -2*n = -7*n + i + 14, -i = -h*n + 8 for n.
2
Let k(l) be the first derivative of -5*l**2/2 + 54*l - 115. Let i be k(10). Solve 1 = -5*s + 2*d + 9, d = -5*s - i for s.
0
Let g(d) = 17*d - 39. Let k(c) = 2*c + 1. Let t(v) = g(v) - 4*k(v). Let n be t(7). Solve -y - n = 3*x + 4*y, -16 = 2*x + 4*y for x.
0
Let r(y) = 22 - 25 + 28*y + 19*y. Let s be r(-1). Let v = -46 - s. Solve -v*b = 5*g + 37, -g + 4*g + 6 = 3*b for g.
-5
Suppose -25*q + 21*q - 3*f = -55, 4*q = 5*f + 79. Suppose q = -a + 28. Solve 0 = 3*o - 8*r + 3*r + 22, -a = 4*o + 2*r for o.
-4
Suppose 443 = 73*a + 151. Solve l = -3*g + 8 + 4, -a*g + 32 = -4*l for l.
-3
Suppose -178 = -3*w - 5*h, -3*w - 3*h + 70 + 116 = 0. Solve -68*n + 2*d = -w*n, -6 = 3*d for n.
-2
Let y be (2 - -58*(-2)/(-8)) + 53/(-106). Solve -4*i - 33*b + 31*b - 16 = 0, -4*i - y = -3*b for i.
-4
Suppose -46*t = -62*t. Solve -2*k + 3*b - 35 + 30 = t, 15 = k + 2*b for k.
5
Let c = -7 + 11. Let k(o) = -27*o - 658. Let y be k(-25). Solve -3*z + 2*u + 1 + 0 = 0, y = z - c*u for z.
-3
Suppose -561 = -p + 12*p. Suppose 2*z = -x + 54, -2*x + z - 4*z + 109 = 0. Let r = x + p. Solve r*h - 5 = 5*y, -y - 3*h = -0 + 1 for y.
-1
Let x(p) = -p**3 - 15*p**2 + 250*p + 6. Let d be x(-25). Let r be (2/d)/(72/432). Let n be 4/(-6)*(-4 - -1). Solve 3*u - 5 = n*g, 4*g + r*u + 1 = -u for g.
-1
Let u = -53 - -47. Let h(d) = d**2 + 9*d + 4. Let a be h(u). Let j = a - -17. Solve v + 5*r = -18, -2*v + j*v + 3*r = -10 for v.
2
Let i(n) = -2*n**2 + 40*n + 5. Let f be i(20). Solve -t = -f*v - 15, 2*v + 6 = 3*t - 13 for t.
5
Let b(r) = -2*r**3 - 4*r**2 + 3*r + 6. Let y be b(-3). Suppose -7*n + 157 = 66. Solve n = -4*c + 5*d, 5*c - d = 4*d - y for c.
-2
Let f = -36 - -34. Let n be (-5)/f + (9/2)/(-9). Solve -s + 6 = -p - 2*p, 9 = -n*s - p for s.
-3
Suppose -10*p - 29 = -129. Solve -a + 3*a - 2*i = p, 25 = -5*i for a.
0
Let k(v) = -v**2 + 7*v + 5. Let q be k(7). Suppose -x + q - 1 = 0. Solve -5*p - 22 = z, 2*p + 5 + 11 = -x*z for p.
-4
Suppose -37*f - 4*k = -39*f - 16, -6 = -k. Solve -2*a + 3*m = 17, f*a = 8*a + m - 1 for a.
-1
Suppose -q + 64 = -7*q + 22*q. Solve -q*i - 2*t = -26, 2*i - 10*t + 2 = -8*t for i.
4
Let k be (-558)/(-465) - ((-4)/(-5))/4. Solve -5*q = 2*t - 12, 2*q + 19*t - 24*t + k = 0 for q.
2
Let m = 9 + 0. Suppose -18 = -3*g - 0*g. Let j be (-2)/((-77)/(-14) - g). Solve -j*t - 6 + 0 = 5*r, -3*t = -3*r - m for r.
-2
Let o(b) = b**3 + 7*b**2 + 6*b + 52. Let h be o(-7). Let u be ((-36)/(-45))/(4/h). Solve -2*l - u*d = 0, -d + 0*d = -5*l - 6 for l.
-1
Let b(m) = m**3 - 12*m**2 + 11*m + 15. Let k be b(11). Suppose 3*i - 40 = -5*j, 26*j + 3*i - 49 = 33. Solve 0 = 3*l - j*g - 3 - 2, -k = 3*l + 3*g for l.
-1
Let l = -128218 - -128230. Let h be 4*(0 - (-90)/8). Solve 4*x = 4 + l, 5*x - h = -5*j for j.
5
Let w be (-2)/15 + 2*2955/450. Let s = -3 - -5. Let q(z) = -z**3 + 2*z**2 + 2*z - 1. Let c be q(s). Solve 3*l - w = 5*t, 0 = -2*t + c*l - 0*l - 7 for t.
-2
Suppose 2*g = a - 3, -9*a = -14*a + 4*g + 15. Suppose -4*q = 2 - 10. Suppose -66 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 2*l**2 + (4*l + 43*l + 32*l)*(-1 + 2*l + 1).
156*l**2
Expand (0*j + 0*j - j)*(-j - 2*j + 4*j) - 1 + 1 - j**2 + 6*j**2 - 3*j**2 - 2*j**2 - 9*j**2 + 4 - 4 - 1 + 4*j**2 + 1 + (-j + 6*j - 2*j)*(4 - 4 - 2*j).
-12*j**2
Expand (-a + 2*a - 2*a)*(0 + 4 - 2) + (-6 + 6 + 6*a)*(0 + 5 - 2).
16*a
Expand (-208*n**2 - 307*n**2 + 1 + 199*n**2)*(4*n + n - 4*n).
-316*n**3 + n
Expand -524*h - 424*h + 278*h + (-1 + 4 - 4)*(h - 5*h + 3*h).
-669*h
Expand (8 - 3 + 2)*(6*y**3 + 2*y**2 - 3*y**2 - 2*y**2).
42*y**3 - 21*y**2
Expand (-6*y + 2*y + y)*(0 + 0 + y) - y**2 - 3*y**2 + 5*y**2 - 6*y**2 + 9*y**2 + 19*y**2 - 2*y.
20*y**2 - 2*y
Expand (-108008*i + 7 + 108008*i + 14*i**2)*(5*i - 2*i - 2*i).
14*i**3 + 7*i
Expand (-5*b**3 + 4*b**3 - b**3)*(2 - 2 + 3)*(-122*b + 188*b + 52*b).
-708*b**4
Expand (8*c**3 - 17*c + 17*c - 3*c**2)*(-11 + 10*c + 3 + 9).
80*c**4 - 22*c**3 - 3*c**2
Expand (-81 + 6 + 3 - 44)*(0*c + 0*c + c**3).
-116*c**3
Expand 578*b - 578*b + 44*b**5 + (14*b**2 - 35*b**2 + 9*b**2)*(2*b**3 + 0*b**3 - b**3).
32*b**5
Expand (-41 - 61 - 2556*y + 2553*y)*(-2 - 2 + 2 + (1 - 1 + 1)*(0 + 1 + 0) - 4 + 1 + 2).
6*y + 204
Expand -2 + y**2 + 2 + (-4*y**2 + 2*y**2 + 3*y**2)*(-1 + 5 - 2) + 6*y**2 + 20*y**2 + 4*y**2.
33*y**2
Expand (-154 + 1148 + 118)*(3*s - s - 4*s).
-2224*s
Expand 1 - 1 + 9*s**2 + s - s**2 - s + (-2*s + 4*s + 0*s)*(2*s - 2 + 2).
12*s**2
Expand 3*h - h + 2*h + (-1 + 0 - 1)*(0 + 0 + 5*h) - 8 - 8 + 18 - 2*h.
-8*h + 2
Expand (-26*w - 50*w - 115*w)*(3 - 4 - 1).
382*w
Expand ((0 + 3*j + 0)*(-1 - 4 + 3) + 1 - 1 - 11*j)*(2*j + j - j)*(-4 + 1 + 1).
68*j**2
Expand 5*m - 6*m - 6*m + (5 - 7 - 7)*(m + 3*m - 3*m).
-16*m
Expand (-340 - 31 + 39 - 64)*(4*s**2 - 4*s**2 + s**3).
-396*s**3
Expand y**3 + y**3 + y**3 + (-19*y + 69*y - 18*y)*(2*y**2 - 4*y**2 + y**2).
-29*y**3
Expand (-3*w**3 + w**3 + 0*w**3)*(-7 - 6*w + 7) + w**4 + 0*w**4 + 2*w**4.
15*w**4
Expand (-1 + 1 + 2*u)*(1 - 90 - 16).
-210*u
Expand (-3*x**2 + 3*x**2 + 3*x**3)*(2 - 7 + 3 - 4 + 3 + 3 + (2 - 2 + 2)*(-1 - 3 + 3) + 0 + 0 - 1)*(2*x + 6*x + x).
-81*x**4
Expand (-6*o + 2*o + 2*o)*(246 - 32 + 120 + 80).
-828*o
Expand (-4*o**2 + 5*o**2 + 0*o**2)*(-5 + 1 + 2)*(-o**2 - 2*o + 2*o)*(-6*o + 15*o - 106*o).
-194*o**5
Expand (6*s**3 - s**3 + 0*s**3)*(-167 + 167 + 93*s).
465*s**4
Expand (2*p**2 + 0*p + 0*p)*(3*p**3 - 36*p**3 + 0*p**3) + 4*p**5 - 3*p**5 + p**5 + (2*p**5 - 3*p + 3*p)*(4 + 2 - 4).
-60*p**5
Expand (177 - 205 + 112)*(-b**2 + b**2 - 2*b**2).
-168*b**2
Expand (-11*j + 13*j - 40*j)*(5*j - 3*j - 3*j)*(0 - j + 0)*(-j + 3*j + 0*j).
-76*j**4
Expand (3*i**2 + i**4 - 3*i**2)*(2581*i - 5162*i + 2582*i + 459).
i**5 + 459*i**4
Expand (0 + 0 - 5*k)*(-1 + 0 + 2) + 4*k - 2*k - 7*k.
-10*k
Expand (-1 + 29*t - 17*t - 11*t)*(t - 2*t + 2*t)*((-1 + 3 + 0)*(0 - 2 + 1) - 1 - 3 + 5).
-t**2 + t
Expand 1 - 1 + d**3 + (-d**3 + 0*d**3 - d**3)*(3 + 0 - 4) - 2*d**3 - 2*d**3 + 2*d**3 + (21 - 44 + 27)*(-2*d**3 + 2*d**2 - 2*d**2).
-7*d**3
Expand (z**3 - 4*z**3 + 5*z**3)*(-z + z - z**2) - 2*z**5 - 2*z**4 + 2*z**4 + 339*z**5 - 178*z**4 + 178*z**4.
335*z**5
Expand (-531*f**2 + 3 - 313*f**2 - 4*f + 4*f)*(-2 + 1 + 0).
844*f**2 - 3
Expand (-4 + 2 + 0)*(-498*u - 257882 + 257882).
996*u
Expand (18*p + 11*p**2 - 18*p)*(-15 - 2*p**2 + 15) + (p - 2*p - p)*(-8*p**3 - 7*p**3 + p**3).
6*p**4
Expand (-22*u - 18*u - 7*u)*(0*u**2 + 2 - 3*u**2 + 4*u**2 + 3*u**2 + 0*u**2 - 2*u**2 + (0 + u + 0)*(u + 2*u - 5*u) + 0*u**2 + 0*u**2 - 2*u**2).
94*u**3 - 94*u
Expand ((0*r + 2*r + 2*r)*(r - 2*r**2 - r) + 6*r**3 + 8*r**3 - 2*r**3 - 2*r - 2*r**3 + 2*r)*(-4 + 2*r + 4).
4*r**4
Expand (-4*o - 4*o + 4*o)*(-16*o**4 - 6 + 6).
64*o**5
Expand (-3*t + 4*t - 2*t)*(-3*t + 0*t + t) + 483 - 483 - 95*t**2.
-93*t**2
Expand 1066*o**5 - 534*o**5 - 529*o**5 + 62 + 2*o**3 + (o**2 - 5*o**2 + 5*o**2)*(o - o - o**3).
2*o**5 + 2*o**3 + 62
Expand (-6 + 1 - 8)*(-2*y + 0*y - y).
39*y
Expand (-3 - 2*r**3 + 3)*(-2*r**2 - r**2 + 2*r**2) + 100*r**2 - 11*r**5 - 100*r**2 - 2*r**5 - 4*r**5 + 4*r**5 + 0*r**5 - 2*r**5 + 4*r**5.
-9*r**5
Expand (-3*i + 6*i - 4*i)*(-1 - 2*i**2 + 1) + 29008*i**3 - 29006*i**3 + 2 + 38*i - i**2 - 1.
4*i**3 - i**2 + 38*i + 1
Expand (2*c**2 - 2*c**2 - c**4)*(-15*c + 72*c + 7*c) + 0*c**4 + 6*c**5 - 9*c**5 + c**4 + 2 - 2*c.
-67*c**5 + c**4 - 2*c + 2
Expand (74 - 140 - 162 - 51)*(-3*p**3 + 2*p**3 - p + 0*p**3).
279*p**3 + 279*p
Expand (0 + 4 - 3)*(-9*v - 52*v - 14*v).
-75*v
Expand (-5*u + 2*u + u)*(3*u - 3*u - u) - 353*u + 700*u - 348*u + 168*u**2.
170*u**2 - u
Expand (1 + 2 - 7)*(-21*k + k - 22*k).
168*k
Expand (-t**2 + 2013 - 2076 - t**2)*(5 - 4 - 4).
6*t**2 + 189
Expand 3*g**3 + 2*g**3 - 3*g + 0*g + (5*g**2 - 3*g**2 - 3*g**2)*(9*g - 11*g + 8*g).
-g**3 - 3*g
Expand (-4*r**4 + 5*r**4 + 0*r**4)*(-2*r + 3*r - 3*r) - 25*r**3 + 25*r**3 - 7*r**5 + r + r - 2*r**5 + 4*r**5.
-7*r**5 + 2*r
Expand (-2 + v + 1 - 2*v)*(-1 + 3 + 0)*(1 + 3 - 1)*(8 + 1 + 26).
-210*v - 210
Expand (f**2 - 1 + 1)*(66*f + 71*f - 135*f + 4*f**3).
4*f**5 + 2*f**3
Expand (-11 - 6 - 12)*(4 - 2 - 1)*(0*r + 0*r + r).
-29*r
Expand (-1 + w + 1 + (0 + 0 - 1)*(3 - 3 + 4*w) - w - w + 0*w - w + 4*w - 5*w)*(-4 + 74 - 5).
-455*w
Expand (4*f**2 + f**2 - 4*f**2)*(5*f - 3*f - f) + (-2 - 2 + 8)*(-20*f**3 + 36*f**3 + 21*f**3).
149*f**3
Expand (-1 + 3 - 4)*(5 - 3 + 1)*((-1 - 5 + 5)*(-q + 2*q + q) + (0*q - 4*q - q)*(-1 + 5 - 3)).
42*q
Expand (-5 - 2 + 5)*(3*v + 11*v - 36*v)*(-v + 4*v - 2*v).
44*v**2
Expand 5 + 2*b - 5 + (1 + 4 - 3)*(-8 + 8 + 4*b + (-1 + 1 + 1)*(3*b - b - 3*b) + 2*b + 0*b + 0*b).
12*b
Expand (0*i**3 + 2*i**3 - 3*i**3)*(277 + 276 + 276 + 82 - 125).
-786*i**3
Expand u + 2 - 2 + (3 - 1 - 4)*(2 - 2 - u) - 16*u + 20*u - 24*u + (3*u - 5*u + u)*(3 - 4 + 3).
-19*u
Expand (1 + 2*h - 1)*(-2*h**3 + 3*h**3 + 0*h**3) - 4*h**4 + 5*h**4 + 0*h**4 - 1267 + 10*h**4 + 1267 + 5*h**3.
13*h**4 + 5*h**3
Expand (-51*i + 94*i + 91*i)*((-i + 4*i - i)*(3 - 3 - 2) + 0*i + 2*i - i).
-402*i**2
Expand (-17 - 12 + 4)*(-1 + 4*z - 8*z - z).
125*z + 25
Expand (49*o - 144*o - 185*o - 908*o + 2)*(-2*o + 4*o - 3*o).
1188*o**2 - 2*o
Expand d**2 + d**3 - d**2 + (2 - 13 + 1)*(3*d**3 - 2*d**3 + 3*d**3).
-39*d**3
Expand 3*l - 5*l - l + (-15*l + 13 + 0*l - 14)*(3 + 1 + 0).
-63*l - 4
Expand (40*m**2 - 84*m**2 + 36*m**2)*(24*m - 17*m - 15*m).
64*m**3
Expand -2*q**4 + 0*q**4 - 2*q**4 - q + q**4 + q + (0 - 6 + 4)*(19*q**4 - 77 + 77) - q**4 + q**4 - 2*q**4.
-43*q**4
Expand -20 - 47*y + 36 - 17 + 0*y + y - 3*y + (-2 - 2*y + 2)*(3 - 4 - 1).
-45*y - 1
Expand (2 - 4 + 0 + (-3 + 1 - 1)*(-16 - 6 + 3) - 4 + 6 - 3 - 1 + 3 + 1 + 3 + 0 - 5)*(2*f + 0*f - 4*f).
-110*f
Expand (-5*r - 2*r + 5*r)*(9*r**3 - 19*r**3 - 3*r**2 - 3*r**3).
26*r**4 + 6*r**3
Expand (1 - 4 + 1)*(2 - 2 + 2)*(-1 + 2 + 1)*(-2 + 3 + 2)*(-k + 5*k - 5*k).
24*k
Expand 1 - 2*z - 1 + (-10*z + 4*z + 9*z)*(2 - 1 - 3 + 4 - 4 + 1 - 6 + 1 + 4 + 1 - 2 - 1 + (0 - 1 + 2)*(3 - 1 - 4) + 0 + 3 - 1).
-14*z
Expand (15*x**3 + 14*x**3 - 12*x**3)*(4*x + 4*x - 11*x)*(1 - 4 + 1).
102*x**4
Expand (3 + 2 - 1)*(d**2 - 6*d**2 + 4*d**2) - 16*d**2 + d**2 - 19*d**2.
-38*d**2
Expand (-f - 2*f - 5*f)*(-14 - 370 + 77 + 29).
2224*f
Expand (-w**2 + w**2 + w**2)*(-324*w - 272*w - 262*w + 608*w).
-250*w**3
Expand (2 + 5 - 4)*(-3*p**3 + 2*p**3 - 4*p**3) - p**3 - 6*p**3 + 2*p**3.
-20*p**3
Expand (-3 + 4 + 1)*(3 - 1 + 0)*(-169*z**3 - 157*z**3 - 59*z**3).
-1540*z**3
Expand (3*h + 1 - 1)*(4*h - 6*h + 3*h)*(6520 - 149*h**3 - 6520).
-447*h**5
Expand 193*k - 193*k - 16*k**4 - 2*k**4 + k**4 + 2*k**4 + (k**2 - 3*k**2 + 0*k**2)*(0 + 0 + k**2) + 3*k**4 - 4*k**4 - k**4 - 4*k**2 + 4*k**2 + 5*k**4.
-14*k**4
Expand (-2 + 5 - 5)*(2*m**2 + 1 - 1) - 252507*m + 252507*m - 473*m**2 + (-m + 3*m + 0*m)*(7*m - 4*m - 4*m) - 3*m**2 - m**2 + 2*m**2 - 3 - m**2 + 3.
-482*m**2
Expand (4*b + 11*b + 8*b)*(-21*b**3 + 13*b**3 - 13*b**3).
-483*b**4
Expand (-19*g + 19*g + 4*g**4)*(0 + 1 - 2)*(-20 - 39 - 53).
448*g**4
Expand (-2*g**4 - 3*g**4 - g**4)*(7 + 2*g - 7) + (g - 1 + 1)*(2*g**4 - 5*g**4 + g**4).
-14*g**5
Expand (1 - 4 + 2)*(3*p**3 - 2*p**3 - 2*p**3) + (-185 - 351*p + 185)*(p**2 + 1 - 1).
-350*p**3
Expand (-q - 4*q**3 + q)*(2444*q + 3 + 0 + q**2 - 2437*q)*(1 - 4 + 2).
4*q**5 + 28*q**4 + 12*q**3
Expand (5 - 5 - d)*(-2 - 3 + 1)*(-1 + 0 + 2)*(7 - 2 + 4).
36*d
Expand (1 - 3 + 0)*(133*x - 428*x + 197*x + x + x - x - 2*x + x + 2*x + (-2 + 4 - 4)*(-3*x + 2*x + 2*x) + 4*x - 2*x - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 27443 = 0. Solve 0 = -2*i - 2*w - 10, -7*i - 17 = -z*i + w for i.
-4
Let p(k) = 10*k + 9. Let c be p(-4). Let q = 32 + c. Let x be (-3 + 1 + q)*0. Solve 0 = -2*a + w + 4*w, x = -2*a + w for a.
0
Let i = 195 - 95. Let f = -96 + i. Solve f*h = -w - 8, -3*w + h = 3*h + 14 for w.
-4
Let s be 8/24 - (-146)/(-6). Let g = -28 - s. Let z be g/(-2) + -4 + 5. Solve 2*l + 4 = l - 4*f, -3*l - z*f = -6 for l.
4
Suppose 0 = 16*i - 0*i - 48. Solve 3*n + 0*g = 2*g, -4*n = -i*g for n.
0
Suppose -74*o + 36 = -39*o - 23*o. Solve -2*i = -2*w - 10, 0 = 5*w - 2*i + o*i + 13 for w.
-3
Let z(n) = n**3 - 26*n**2 + 5. Let t be z(26). Suppose 3*d = j - 2*d + 15, -d = -t*j + 21. Solve -f = -3*i + f - 3, i = -j*f - 18 for i.
-3
Let k be 539/66 - 8 - 99/(-54). Solve k*j = 3*y + 1, -2*y = 2*j + 108 - 94 for y.
-3
Let r = -44611 - -44611. Solve 2*y - 3*u + 2 + r = 0, 0 = -4*y - 5*u - 4 for y.
-1
Let o be (-10)/15 + (5 - 38/6). Let l be (-73 - (1 + 0))/o. Solve 0 = 5*w + 5*j + 17 - 7, -5*j - l = -4*w for w.
3
Let w be (30/(-27))/(4/(-36)). Let a(m) = -m. Let l(g) = -5*g - 39. Let z(s) = 6*a(s) - l(s). Let c be z(w). Solve 3*t = -5*q + c, 2*q - t - 14 = -3*t for q.
4
Suppose -6*y = -3*i - 5*y + 45, 5*y = 2*i - 56. Solve 5*p - d = 24, 11*d - 13 = -3*p + i*d for p.
5
Let k(z) = z**3 + z**2 - 8*z + 28. Let t be k(-4). Solve 5*l - 11 = -2*i - t, 3*l = 3 for i.
-3
Suppose 0 = 134*k - 146*k. Let h be k/(-9*4/(-12)). Solve 9 = 2*d + l, 5*d + h*l - 3*l = -5 for d.
2
Let i = 32778 + -32768. Solve 5*l + i = 0, 5*o + 2*l = -16 - 13 for o.
-5
Let m(n) = -171*n - 9. Let y be m(-1). Let o = -162 + y. Solve -4*r + o*r = -2*k, r = -4*k + 9 for r.
1
Let p(a) = -a**3 - 10*a**2 - 30*a - 184. Let f be p(-9). Solve -3*o - 3 = f*q + 3, -q - 15 = -4*o for o.
3
Suppose -s = -2*u + 58, -37*u + 36*u + 2 = -5*s. Solve 0 = -4*b + b + 5*g + u, 28 = 5*b - 2*g for b.
4
Suppose -732*g + 706*g + 78 = 0. Solve 0 = -2*f - c - 3, 0 = -g*f + 5*c - 1 - 10 for f.
-2
Let q(m) = m**2 - 71*m + 395. Let p be q(6). Solve 5*t - z = 15, -p*t - 2 = -2*z - 22 for t.
2
Let t = -52 - -31. Let a = t - -25. Suppose -7 + 115 = 36*g. Solve -c = 3*m + 9, g*m + 13 = a*m - 5*c for m.
-2
Let r(x) = 259*x + 2863. Let f be r(-11). Solve -6*g = -9*g - 4*i + f, -3*g = -i - 4 for g.
2
Let y be (-6583)/(-261) + -20 - (-4)/(-18). Solve 0 - 22 = 3*c - 5*a, 3*c + y*a + 2 = 0 for c.
-4
Let k be (6/9)/(4/(-6)) - -24. Let w = -23 + k. Suppose w = -3*d + 5*b - 6 + 20, -17 = -5*d + 2*b. Solve 0 = 3*o + 4*x - 14, -d*x + 4 + 8 = 3*o for o.
2
Let s be 12204/270 + -1*(-2)/(-10). Let p be 8*(s/10)/9. Solve 2*w + 10 = 0, 2*y - 20 = -2*y + p*w for y.
0
Suppose -15 = -5*s + i, 0 = 4313*s - 4318*s - 2*i + 15. Solve k = -y - 0*y + s, -4 = 2*y - 3*k for y.
1
Suppose 0 = v - 43 + 38. Suppose v*c - 176 + 166 = 0. Solve s + 0 = 4*d - c, -2*s + 7 = 3*d for d.
1
Let c be (-992)/(-744) - (-2)/3*(3 - 2). Solve -x = -f - 1, -c*f + 7 = 17 for x.
-4
Let n be (-5)/((-6)/(36/15)). Suppose 3*w + 12 = -j + 25, 4*j - 10 = n*w. Solve -24 = 5*u + g, 0*u - u - w*g = 2 for u.
-5
Let v be 381/5 - (7 - 306/45). Let s = 51 + -125. Let y = v + s. Solve 2*z + y*l - 12 = -2*z, -3*l + 6 = 0 for z.
2
Suppose -t - 2*z = 6, z = 2*t + 80 - 88. Solve 4*i + 7 = -5*q, 5*q + 5*i - t = -12 for q.
1
Let j be 110/30 - 4/6. Suppose w - 2 = j*w, 77 = 4*d + 3*w. Solve 4*l = 4*h - 0*l + 16, -5*h - l - d = 0 for h.
-4
Suppose -3*n - 4*u = -8*u - 329, -3*u = 2*n - 242. Let t = -116 + n. Let d be (0 - (1 - t))/(-1). Solve -4*q - 5*m - 10 = -2, 4*q - d*m = -8 for q.
-2
Let f be 30/(-50)*(-5)/2 + 3/2. Solve 2*b + f*v = -3*b + 3, v = 3*b + 1 for b.
0
Suppose 3*u = 7*r + 16, 5*u = 10*u - 4*r - 42. Solve 5*n - u + 2 = -3*g, 3*n = 2*g + 1 for n.
1
Suppose -4*t = -0*t - 40. Let i(c) = c - t - 4*c - 15 + 0*c. Let j be i(-9). Solve -j*v - 5*w = -8, -3*v - 5*w - 4 + 11 = 0 for v.
-1
Suppose 2*u = 3*u - 4. Let x = 526 + -929. Let m = x + 407. Solve -m*t = -k + 11, 0*k = -3*t - u*k - 13 for t.
-3
Let v(l) = l**3 + 7*l**2 + 3*l + 21. Let a be v(-7). Suppose a = 4*d + 4*d - 48. Solve -5*q + 25 = d*t - t, 2*q - t + 5 = 0 for q.
0
Suppose y + 4*g = 25, -3*y + 2*g - 71 = -8*y. Suppose -f - y = 5*d + 12, -4*d - 20 = 4*f. Let w be (0 + -2)/(-1) - -2. Solve f = 3*k, 2*l = l + w*k + 2 for l.
2
Let t(b) = 2*b**2 + 79. Let q be t(0). Suppose w + j + 0*j = q, w - 3*j - 87 = 0. Let k be w/18*2/3. Solve k*l + 5 = -5*c, 2*l - 2 + 6 = -3*c for l.
-5
Suppose 116*n - 395 = 69. Suppose 0 = -3*j - 2*u + 18, -j + 2*u = -2*j + 10. Let c be 3/12 - (-19)/j. Solve f - 13 - 4 = -n*y, -c*f + 13 = -4*y for y.
3
Let t = 359 + -639. Let o = 282 + t. Solve 3*b = o*d + 3*d - 5, -5*d - 5 = -b for d.
-2
Suppose 4*j = -637 - 851. Let m = j - -376. Solve -m*h = -h - f - 11, -5*f = -4*h for h.
5
Suppose -14 + 11 = -x. Suppose -3*k = -2*k + 4*c - 9, 3*k + 3*c = 18. Solve -o + 2*n = x, 0 = k*o - 4*n + n - 6 for o.
3
Suppose 3563*n - 3574*n = -33. Solve -2*d = n*d + 2*k - 23, -d = -k - 6 for d.
5
Let i be (0 + 235 - 5) + -6. Let j = i - 222. Solve j*a + 6 = 0, 0 = 2*r - 5*a + a - 8 for r.
-2
Suppose -2*j = 221*u - 216*u - 1, -2*u - 2 = 0. Solve 0 = -4*b + 5*d + 5, 5*d = j*b - 7*b - 5 for b.
0
Let b(y) = -17*y**3 + 5*y**2 - 4*y - 2. Let l be b(2). Let r be (-1)/(-3) - l/27. Solve r*h - 27 = 2*f - 5, -5*h + 25 = -5*f for h.
4
Suppose 2*k - 52 = -5*c + 63 - 40, 4*k = 0. Solve d - 13 = -5*s, -4*s + 10 = 16*d - c*d for d.
-2
Let x = -45 + 43. Let h be x/(-7) - (-2 + (-440)/28). Let m be (-43)/(-9) + 4/h. Solve 4*d + m = 5*c - 0, 4*d - 2*c - 10 = 0 for d.
5
Suppose 3*f + p = 14, -p + 2 = -f - 3*p. Suppose f*d - 203 = -d. Let u = d - 21. Solve 2*a + 0 = -2*z + u, 3*z + 5*a - 18 = 0 for z.
1
Let v(z) = z**2 - 8*z + 12. Let q be v(6). Suppose -c + 10*c - 27 = 0. Solve -13 = -c*f + 2*n - n, q = -f + 5*n + 9 for f.
4
Let z(h) = 0 + 0 + 5 + h + 2*h**2 - 6. Let y be ((-1)/4)/((-3)/(-4) - 1). Let d be z(y). Solve -d*q + 4*o + 11 = -3*q, 17 = 2*q - 5*o for q.
1
Let h(k) = k**3 + 8*k**2 + 14*k. Let g be h(-5). Suppose 0 = 2*s - 2*u, -3*s + 47 - 7 = g*u. Solve m = -4*z + 9 + 4, 0 = 4*z + s*m - 33 for z.
2
Let q be 1 + 12 - (230 - 222). Let s be -7*(6 - 2)*12/(-112). Solve 3*n = -15, s*k = -0*k + q*n + 10 for k.
-5
Suppose 0 = 5*v - 4*o + 859, 0*v - 2*v = -5*o + 347. Let j = v + 174. Suppose 6*h - 21 = -4*y + h, 4*y - 17 = -h. Solve -y*d + 2*m = d, 0 = d - j*m for d.
0
Let f = -2589 - -2594. Solve f*s = -c, 12 = -c + s + 6 for c.
-5
Let f = -332 + 334. Solve -3*i + 2 = -f*m, 13 = -3*m - 4*i - 7 for m.
-4
Let h be (2/(-6))/(12 + (-2)/((-96)/(-580))). Solve 4*w - h*z = -0*z + 4, 0 = -w + 4*z + 7 for w.
-1
Let z be 16/12 + 184/69. Solve 0 = -8*v + 4*v - 3*l + 2, 0 = -3*v + z*l + 14 for v.
2
Suppose 0 = -2*p + 5*h - 4, 10 = -19*h + 24*h. Suppose 2*u - 3*u + 4 = 0. Solve -2 = -p*o + 2*g - 4, -g - 4 = -u*o for o.
2
Let r = 3045 + -3031. Solve 4*j + 13 = q, 4*q + 2*j + r = -6 for q.
-3
Suppose -17*k + 32 = -19. Solve -k*h = -8*h, -5*c = h + 20 for c.
-4
Suppose 223*r - 242 = 222*r. Let d = 251 - r. Let o(v) = v**2 - 3*v. Let u be o(4). Solve 2*y - d = -l, u*y - 6 = -3*l + 5*l for y.
3
Let l = 12250 + -12245. Solve 3*i = 3*f - 24 + 45, 0 = -4*i + l*f + 31 for i.
4
Suppose -35 = -5*l - 5*t, 4*l + 0 - 3 = t. Let h(q) = -7*q + 17. Let n be h(5). Let z = n - -22. Solve 5*r - z = d - 3*d, l*d - 4 = -r for d.
2
Let t = 765 + -375. Let d = t - 388. Let o(v) = 3*v. Let l be o(4). Solve z = 2*u + 12, 2*u + l = u + d*z for u.
-4
Let n = 7390 - 7376. Solve 4*s + n = -2*v, -2*v - 8 = -35*s + 36*s for v.
-3
Suppose 0 = 3*j - y - 5, 5*y - 17 = 14*j - 13*j. Solve -5*o + 12 = j*c, 35*c - 39*c = -3*o - 16 for o.
0
Let s be ((-10)/(-45))/(5/45). Let z(i) = -8*i + 4. Let k be z(3). Let n be (-38)/(-10) - 4/k. Solve 0 = n*q + 5*x + 33, 3 = -s*q - x - 6 for q.
-2
Let m be (30/(-20))/(3/(-4)). Let n = -2 - -5. Suppose 0 = 4*z - i - m + n, 3*i = 4*z + 3. Solve 5*t - 7 - 3 = 0, z = -4*c - 5*t - 6 for c.
-4
Suppose -26 = -2*z - 20, -2*z - 12 = -3*q. Solve 5*k = 12*h - 9*h - q, 4*h + 12 = 0 for k.
-3
Let p = -4637 - -4619. Let u = -6 + -14. Let s = p - u. Solve -4*t - 4 = -4*l, 1 = -s*l + t + 2 for l.
0
Suppose 103*h + 107*h - 10 = 208*h. Let r(v) = v**3 + 5*v**2 + 3*v - 4. Let s be r(-4). Solve 5*b + h*u + 40 = 0, 3*b + 0*u + 2*u + 21 = s for b.
-5
Suppose 42*i = 40*i. Suppose i = -9*j + 2*j +
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by -64
1/64
Calculate 31921 divided by -4.
-31921/4
-4 divided by 1425
-4/1425
What is 10680 divided by -4?
-2670
Divide -5 by 34.
-5/34
-5 divided by 2
-5/2
What is -1 divided by 1455?
-1/1455
-736 divided by 184
-4
Divide 1 by 98.
1/98
Calculate -2 divided by -1613.
2/1613
Calculate -6 divided by 276.
-1/46
Calculate 7490 divided by -70.
-107
2 divided by -1243
-2/1243
What is -45 divided by 3?
-15
Divide -1680 by -14.
120
Calculate 1 divided by 132.
1/132
What is -918 divided by -15?
306/5
Divide -16 by 49.
-16/49
Divide -5 by 178.
-5/178
What is 29 divided by 6?
29/6
Divide 4268 by -1.
-4268
Calculate 1150 divided by -50.
-23
Divide -17 by 2.
-17/2
Calculate 182 divided by 13.
14
What is 13328 divided by 17?
784
Calculate -7845 divided by -5.
1569
Divide -85 by 20.
-17/4
Divide 160 by 32.
5
-560 divided by 112
-5
4 divided by 343
4/343
1050 divided by 6
175
Calculate -48 divided by 6.
-8
What is 19425 divided by -3?
-6475
What is -18874 divided by 3?
-18874/3
What is -269 divided by 5?
-269/5
What is 34 divided by -3?
-34/3
Divide 8316 by 4.
2079
-418 divided by 209
-2
Divide -1 by 203.
-1/203
Divide -4 by 20.
-1/5
What is -328 divided by -2?
164
What is 15 divided by -81?
-5/27
2148 divided by -6
-358
Divide -452 by -113.
4
What is -402 divided by -3?
134
Divide 106 by -53.
-2
-67 divided by 8
-67/8
Divide 63 by -1.
-63
Calculate 0 divided by -36.
0
Calculate 114 divided by -57.
-2
Divide -740 by -4.
185
What is -1005 divided by 1?
-1005
Calculate 8688 divided by 6.
1448
Divide -54882 by -6.
9147
Divide -5 by -327.
5/327
294 divided by -6
-49
Calculate 38160 divided by 5.
7632
-200 divided by 40
-5
Calculate 1 divided by 159.
1/159
10920 divided by -273
-40
-5 divided by -346
5/346
Calculate -2 divided by 101.
-2/101
Calculate -6057 divided by -2019.
3
349 divided by 3
349/3
What is 2310 divided by -5?
-462
Calculate -11 divided by 116.
-11/116
Calculate 170 divided by 9.
170/9
-730 divided by 10
-73
Divide -776 by -194.
4
Calculate 0 divided by -346.
0
Divide 1296 by -3.
-432
What is 34 divided by 4?
17/2
Calculate -14 divided by -3.
14/3
Divide -240 by -80.
3
Calculate 14 divided by 6.
7/3
Divide 2 by -55.
-2/55
What is 9 divided by -3?
-3
What is -8533 divided by 3?
-8533/3
Calculate 9770 divided by 5.
1954
Calculate 24 divided by -4.
-6
What is -1 divided by 607?
-1/607
Divide 165 by -165.
-1
What is -9 divided by -2781?
1/309
What is 4 divided by -53?
-4/53
What is -5 divided by -697?
5/697
What is 45 divided by -4?
-45/4
159 divided by -4
-159/4
What is 3822 divided by 1274?
3
What is -178 divided by -89?
2
-5447 divided by 1
-5447
Divide 5 by 189.
5/189
Divide 744 by -372.
-2
Calculate 50 divided by 2.
25
Divide -52 by -13.
4
Divide -29755 by -5.
5951
Divide -5268 by -439.
12
Calculate -9 divided by 483.
-3/161
What is 90 divided by 30?
3
What is -144 divided by 6?
-24
1137 divided by -379
-3
Divide -594 by 21.
-198/7
15980 divided by 5
3196
Calculate -3 divided by 326.
-3/326
1105 divided by -5
-221
What is 790 divided by 79?
10
What is 356 divided by -4?
-89
Calculate -19 divided by 23.
-19/23
What is 189 divided by -3?
-63
What is 56 divided by 17?
56/17
90 divided by 5
18
Calculate 0 divided by -1375.
0
What is -5 divided by 5226?
-5/5226
-560 divided by -3
560/3
Calculate -23379 divided by -1.
23379
Calculate -3486 divided by -7.
498
What is 195835 divided by -5?
-39167
205 divided by 5
41
4 divided by -34
-2/17
Divide -2022 by 6.
-337
What is -264 divided by 4?
-66
What is -39 divided by 1?
-39
Calculate 378 divided by 6.
63
What is 2592 divided by 648?
4
Calculate 21 divided by 1604.
21/1604
Calculate -1015 divided by 203.
-5
-80 divided by 17
-80/17
Divide 5 by 31.
5/31
Calculate 318 divided by -106.
-3
Divide 38 by -3.
-38/3
7 divided by -80
-7/80
Divide 576 by -24.
-24
What is 2 divided by -85?
-2/85
-792 divided by 198
-4
What is -699 divided by 1?
-699
-3339 divided by -2
3339/2
-9 divided by -432
1/48
-134 divided by 9
-134/9
What is 7308 divided by 9?
812
Calculate 250 divided by 5.
50
What is -1956 divided by -12?
163
What is -23102 divided by 5?
-23102/5
-24 divided by 4
-6
-1632 divided by -8
204
17535 divided by -3507
-5
Divide -135 by 8.
-135/8
What is 18372 divided by 12?
1531
236 divided by -59
-4
What is -959 divided by 2?
-959/2
What is 1190 divided by -17?
-70
What is -234 divided by 1?
-234
-2 divided by -437
2/437
9264 divided by -3
-3088
2 divided by -71
-2/71
-36 divided by -67
36/67
Calculate -3 divided by -13.
3/13
Divide 4 by 47.
4/47
Calculate -27 divided by 3.
-9
Divide -512 by -2.
256
What is 1 divided by -466?
-1/466
-1 divided by -10
1/10
6 divided by -6
-1
4 divided by 8845
4/8845
Divide 26 by -90.
-13/45
What is -250 divided by -3?
250/3
Calculate -207 divided by -207.
1
Divide 586 by 4.
293/2
1 divided by 123
1/123
What is 1368 divided by 8?
171
What is -12499 divided by -1?
12499
What is -200 divided by -50?
4
Calculate 4 divided by -2.
-2
-528 divided by 22
-24
Divide 1389 by 463.
3
Divide -82 by -41.
2
36 divided by -6
-6
What is 0 divided by -3?
0
Divide -195 by 15.
-13
-2 divided by -35
2/35
Calculate -742 divided by -2.
371
2 divided by 97
2/97
What is 21185 divided by 4237?
5
5110 divided by 5
1022
Calculate 2269 divided by 5.
2269/5
Divide 120 by -5.
-24
What is -451 divided by -11?
41
What is -835 divided by -1?
835
427 divided by 7
61
What is 0 divided by -1482?
0
Divide 146 by -1.
-146
What is 11 divided by 20?
11/20
147 divided by -3
-49
What is -511 divided by 2?
-511/2
-7371 divided by -117
63
-3030 divided by -6
505
Calculate -26 divided by -367.
26/367
Calculate -52 divided by 11.
-52/11
Calculate -596 divided by 149.
-4
Divide 12826 by 11.
1166
Calculate 460 divided by -4.
-115
What is 331 divided by 3?
331/3
9252 divided by 2313
4
Divide 49 by 68.
49/68
-472 divided by 64
-59/8
45 divided by -9
-5
Divide 55 by -4.
-55/4
Divide 28 by 22.
14/11
Divide 1020 by -60.
-17
-1925 divided by -385
5
Calculate 5 divided by 2.
5/2
-36 divided by -18
2
Calculate 8 divided by -395.
-8/395
-411 divided by -2
411/2
Divide -5316 by 12.
-443
What is -3600 divided by 16?
-225
Divide 0 by -32.
0
Calculate -160 divided by -4.
40
Calculate 81 divided by -7.
-81/7
What is 102 divided by -143?
-102/143
What is -3 divided by -2577?
1/859
Divide 163 by 33.
163/33
-88 divided by 4
-22
What is -4 divided by 31?
-4/31
Divide -434 by 7.
-62
Calculate 167 divided by -4.
-167/4
What is 1 divided by 1849?
1/1849
What is 3 divided by 5?
3/5
What is 8664 divided by 1444?
6
What is 876 divided by -12?
-73
Calculate -31 divided by -6.
31/6
What is -3604 divided by -34?
106
Divide 0 by 6728.
0
Divide 13635 by 5.
2727
What is 10 divided by -15?
-2/3
106 divided by -3
-106/3
Divide -1063 by 2.
-1063/2
Calculate -4122 divided by -18.
229
Calculate -253325 divided by -5.
50665
What is 4 divided by -388?
-1/97
1 divided by -445
-1/445
What is 3 divided by -144?
-1/48
What is -7796 divided by 4?
-1949
Divide 27 by -9.
-3
-616 divided by -8
77
What is 4 divided by -320?
-1/80
16576 divided by -1184
-14
Calculate 3 divided by -412.
-3/412
Divide 2 by -195.
-2/195
Divide -21240 by 236.
-90
5 divided by 69
5/69
Calculate -4 divided by 181.
-4/181
What is -117 divided by 7?
-117/7
What is -1464 divided by 24?
-61
-17 divided by 1
-17
What is 202 divided by -202?
-1
Divide -9639 by 21.
-459
Divide 620 by -6.
-310/3
Divide 280 by 28.
10
Divide 2 by -3653.
-2/3653
Calculate -816 divided by -12.
68
Divide 1 by -147.
-1/147
Calculate 162 divided by -11.
-162/11
What is -1060 divided by 4?
-265
Divide -392 by -14.
28
What is 60 divided by -12?
-5
Divide 6 by -479.
-6/479
Divide 3753 by 4.
3753/4
What is -4 divided by 35?
-4/35
Divide -18262 by -46.
397
Divide -313 by 5.
-313/5
Calculate -325 divided by -65.
5
What is -621 divided by 3?
-207
What is -4 divided by -163?
4/163
What is 1035 divided by -3?
-345
What is 3 divided by 539?
3/539
-42 divided by 264
-7/44
Divide 12743 by 6.
12743/6
Calculate -8 divided by -351.
8/351
What is -4254 divided by -1?
4254
What is -521 divided by -3?
521/3
What is -1 divided by -24?
1/24
-750 divided by 250
-3
Divide -1 by 2937.
-1/2937
What is 207 divided by 3?
69
Calculate 11616 divided by -32.
-363
What is -11860 divided by -2372?
5
Calculate 29337 divided by 3.
9779
What is -187
|
{
"pile_set_name": "DM Mathematics"
}
|
- 0) - -3. Let l = -85 + 64. Let b be (-6)/(2/4*l/56). Calculate the greatest common factor of b and v.
8
Let o = -12 + 40. Let v(b) = b**3 + 3*b**2 - 12*b - 29. Let x be v(-4). Let g(f) = 2*f**2 + 10. Let p be g(x). What is the highest common factor of o and p?
28
Let u = 51 - 109. Let l = -36 - u. Calculate the highest common factor of l and 176.
22
Suppose 4*b + 17*b = 1848. Let z = 248 + b. Calculate the highest common factor of 84 and z.
84
Let x(y) = 4*y**2 + 36*y. Let t(j) = -5*j**2 - 36*j - 2. Let a(m) = 3*t(m) + 2*x(m). Let u be a(-4). What is the highest common factor of 494 and u?
26
Suppose -277 + 34 = -3*h. Let z = -18 + 27. Calculate the greatest common factor of h and z.
9
Let g be ((-661)/8*-2)/(73/292). Calculate the greatest common divisor of g and 1.
1
Let p be 1/(-10)*0 + 16. Calculate the highest common divisor of p and 64.
16
Suppose -9*z = -2076 - 1290. Calculate the greatest common divisor of z and 66.
22
Suppose 0 = 2*f + 6 + 4. Let t(d) = -302441*d + 6 - 1 + 302439*d - 3*d**2 + 0*d**2 + 4*d**2. Let i be t(f). What is the highest common divisor of 16 and i?
8
Suppose 26*w = 30*w + 5*c - 394, -5*w - 4*c = -488. Let l be -2 - (44/8 - 3)*-2. What is the greatest common divisor of w and l?
3
Let f be ((-6)/12)/(1/2) - -6 - -3835. Calculate the greatest common divisor of f and 30.
30
Let b = -339 - -341. Suppose j - 1821 = -4*q + 1132, q - b*j = 727. Calculate the highest common divisor of 11 and q.
11
Let u(l) = 21*l**2 - 166*l - 81. Let q be u(14). Calculate the highest common factor of q and 261.
29
Suppose 0*m - 8*m = -88. Suppose 0 = x - 4*u - 105, -5*u = 34*x - 36*x + 222. What is the greatest common factor of m and x?
11
Suppose -5*b = -5*w - 390, 76 = 3*w + 85. Calculate the highest common factor of b and 100.
25
Let j = 3331 + -3322. Calculate the greatest common factor of j and 1782.
9
Let q = -625 + 607. Let k be (-12)/q + (-759)/(-9). What is the highest common factor of k and 40?
5
Suppose -3*c + 168 = 3*l, 0 = 2*c + 5*l - 32 - 92. Let h = 732 + -715. Let o be (h/15 - (-102)/(-765))*13. What is the greatest common divisor of c and o?
13
Let d be ((-8)/10)/(2/(-10)). Let h be 3/(-12) - (-25)/d. Suppose h*a = -0*a + 66. What is the highest common divisor of a and 44?
11
Suppose -5*u + 702 = -3*g, g = 2*g + 4. Let o = u - 96. Suppose 5*i - o = 68. What is the greatest common divisor of i and 176?
22
Let r(t) = 4*t**2 + 33*t + 867. Let u be r(-17). Calculate the greatest common factor of 215 and u.
43
Suppose -11*i + 2*i = -270. Suppose 5*r = x - 0*r - 100, 3*x = 2*r + 235. Calculate the greatest common factor of i and x.
15
Suppose o = -0*o + 50. Suppose l + 5*y + 0*y = o, 2*l - 2*y = 52. Let k be (-12)/8*(0 - 30). Calculate the greatest common divisor of k and l.
15
Suppose -27*f + 22*f + 2*u + 8736 = 0, -2*f = -u - 3493. What is the greatest common divisor of 5000 and f?
250
Suppose 959 = 6*r + 941. Suppose 4*n + 8 = 4*w, n + 5*w - 25 = -r. What is the greatest common factor of 82 and n?
2
Let a(q) = q**3 - 5*q**2 + 3. Let v be a(5). Let u be (14/(-4))/(9/(-342)*-1). Let p = u - -172. Calculate the highest common factor of p and v.
3
Suppose -9*b - 7*b + 17*b - 245 = 0. Let g be (5/3)/(2/42). Calculate the highest common divisor of g and b.
35
Suppose w + 9 = -g + 3*g, -g = w + 3. Let x be (-110)/(-33) + 8/(-6) - -48. Let y = x + g. Calculate the highest common divisor of y and 13.
13
Suppose 1396*o - 1387*o - 261 = 0. Suppose 0*n + 232 = n. What is the greatest common factor of o and n?
29
Suppose 5*x + 2*j = 464, 229*j + 325 = 4*x + 224*j. Calculate the greatest common divisor of 13680 and x.
90
Let h be (60/((-24)/(-4)))/2. Suppose -5*x - h*w = -75, 51 = 2*x + 5*w + 12. What is the greatest common divisor of x and 192?
12
Let k = 13554 - 13394. Calculate the greatest common factor of k and 6880.
160
Let i = -32 - -180. Suppose -3*l = -i - 32. What is the highest common divisor of l and 330?
30
Let k(p) = 2*p**3 - 71*p**2 + 68*p - 1001. Let t be k(35). Calculate the greatest common divisor of t and 1358.
14
Let r = -14117 + 14134. Let x(d) = -27*d + 5. Let y be x(-8). What is the greatest common factor of y and r?
17
Let x be 20/(-4) + (-2)/6*(-2097)/3. What is the highest common factor of 3762 and x?
114
Let g(r) = 230*r - 3. Let k be g(-2). Let c = 823 + k. Suppose 4*h - c = h. Calculate the greatest common divisor of 15 and h.
15
Let i = 15109 - 219. What is the highest common factor of 10 and i?
10
Let d(c) = c**3 + 4*c**2 - 3*c + 22. Let y(z) = 14*z + 37. Let m be y(-3). Let i be d(m). Calculate the greatest common divisor of 192 and i.
12
Suppose a = 2*a - 4. Let h be (a/(-5))/(13/(-5980)). What is the highest common factor of h and 46?
46
Suppose 0*s + 3*s - 126 = 0. Let l = 93 - 126. Let j be l/12 + 3 - 444/(-16). What is the greatest common divisor of j and s?
14
Let b(g) = -g**2 + 8*g - 16. Let j be b(4). Suppose j*h + 3*h - 6 = 0. Suppose -5*k + 7 + 8 = 0. Calculate the highest common divisor of h and k.
1
Suppose 4*p - x - 13 = -0*x, 0 = -4*x + 12. Suppose 125*r = 127*r - p. Let q be (-65)/r*234/(-65). Calculate the greatest common factor of 13 and q.
13
Let m(c) = -5055*c + 15. Let r be m(1). Let z be (-3)/5 - (r/25 + 3). Calculate the greatest common factor of 18 and z.
18
Suppose 612 = 682*x - 679*x. Suppose 171 = 3*w - 2*k + 47, 2*k + x = 5*w. What is the highest common divisor of 15 and w?
5
Suppose -2*m = -4*b - 14, 3*b - 2*m = -55 + 44. Let w be (-310)/21*b - 10/35. What is the highest common divisor of w and 33?
11
Suppose 5*p - 18*q + 1452 = -15*q, 0 = -3*p + q - 868. Let i = -256 - p. Calculate the highest common factor of i and 80.
16
Let s = 761 - 409. Let o be 132/((1/13)/(14/91)). Calculate the greatest common factor of s and o.
88
Let k be 30656/56 - -8 - (-6)/(-14). Suppose 18*u - k = 3*u. Calculate the greatest common divisor of 111 and u.
37
Suppose 2*c - 332 = -4*d, 2*d = 3*d. Let i = c - 2. Suppose i*s = 162*s + 96. What is the highest common divisor of 12 and s?
12
Suppose -8 = -3*w - 2. Suppose -8*p + 39 = 47. Let m be (-5)/((-10)/32) + (p - 1). Calculate the greatest common factor of w and m.
2
Let g(j) = -j**3 + 11*j**2 + 4*j + 13. Let f be g(9). Suppose -537 - f = -11*w. Calculate the highest common factor of w and 17.
17
Let s be -10*(-15)/10 - -1. Suppose 0 = 4*t - s - 0. Suppose -3*v - h + 72 = 0, 3*v = t*v - h - 20. What is the greatest common divisor of v and 23?
23
Let y(h) = -697*h + 2058. Let a be y(-5). Calculate the greatest common factor of 46 and a.
23
Let b(w) be the third derivative of w**6/120 - w**5/60 + 7*w**4/24 - 5*w**3/2 + 3*w**2 + 6*w. Let t be b(2). Calculate the greatest common divisor of t and 17.
1
Let z = 47 - -52. Suppose 0*p - z = -3*p. Let y(a) = -215*a + 2806. Let s be y(13). What is the greatest common divisor of p and s?
11
Suppose 26*r - 7701 - 23499 = -174*r. Calculate the highest common factor of r and 162.
6
Let b be (6 + -8)*258/(-4). Let v be -2 + 356/(-12)*-3. Let p = b - v. What is the greatest common factor of p and 6?
6
Let w = 843 - 813. Let o be -25*((-222)/w + 5). Suppose x = 5*s - 2 + 13, 2*s = 3*x - 98. Calculate the greatest common factor of x and o.
12
Suppose -92*s + 85*s = 1218. Let h = 251 + s. Calculate the highest common factor of 21 and h.
7
Let y be ((-8)/18)/((-6)/54). Suppose -y*x + 0 + 12 = 0. Suppose -x*v = 51 - 159. Calculate the highest common factor of 108 and v.
36
Suppose -h + 2303 = 1183. Calculate the highest common divisor of h and 175.
35
Suppose 0 = -148*f + 208*f - 72600. What is the greatest common factor of f and 40?
10
Let y(a) = 15*a - 32. Let b be y(4). Suppose -16*l = -b*l + 960. What is the highest common factor of 200 and l?
40
Let u = 492 - 444. Calculate the highest common factor of 69 and u.
3
Let j(c) = 80*c - 3586. Let g be j(45). Let n = -3 + 4. Let m be (-155)/(1/(-1)) - n. What is the greatest common divisor of g and m?
14
Let g be (-3)/2*(-4 - -2). Suppose g*i = -2*i + 35. Let r be (-28)/(-12) - 3 - (-321)/9. What is the highest common factor of i and r?
7
Let d(j) = -j**3 - 13*j**2 - 10. Let i be d(-13). Let o be (-1 + 1)*i/(-20). Suppose 6*r + 7*r - 1092 = o. What is the highest common divisor of r and 21?
21
Let g(b) = 116*b + 581. Let v be g(36). What is the highest common facto
|
{
"pile_set_name": "DM Mathematics"
}
|
, 7560?
8759
What is the next term in -304604, -609205, -913804, -1218401, -1522996, -1827589?
-2132180
What is next in -8370, -16731, -25090, -33447, -41802, -50155, -58506?
-66855
What is next in 2729, 5425, 8121, 10817, 13513, 16209?
18905
What comes next: 129961, 129975, 129989?
130003
What comes next: 1172, 1160, 1158, 1172, 1208, 1272, 1370, 1508?
1692
What is the next term in -1044, -2025, -2970, -3867, -4704?
-5469
What comes next: 160, 650, 1542, 2842, 4556?
6690
What is the next term in -3467, -6932, -10397, -13862, -17327?
-20792
What is next in 50, 222, 696, 1622, 3150, 5430?
8612
What is next in -65, -38, -9, 22, 55?
90
What is the next term in 61727, 123453, 185193, 246953, 308739, 370557, 432413?
494313
What comes next: 928, 964, 1062, 1252, 1564, 2028, 2674?
3532
What is the next term in 136, 245, 342, 421, 476, 501, 490?
437
What is the next term in 245, 226, 179, 92, -47, -250?
-529
What is the next term in -9785, -39160, -88125, -156680?
-244825
What is next in -340, -1323, -2948, -5215, -8124?
-11675
What comes next: -7005, -14222, -21439, -28656?
-35873
What comes next: 63, -79, -301, -603?
-985
What is next in 167, 732, 1673, 2990, 4683, 6752, 9197?
12018
What is the next term in 165, 746, 1847, 3576, 6041, 9350, 13611?
18932
What is next in -3692, -29506, -99566, -235994, -460912?
-796442
What comes next: -912, -1714, -2516, -3318, -4120?
-4922
What is the next term in -499542, -499540, -499538, -499536?
-499534
What comes next: 405172, 810349, 1215528, 1620709, 2025892, 2431077, 2836264?
3241453
What comes next: -9847, -9614, -9225, -8680, -7979, -7122?
-6109
What is next in 70534, 141059, 211584?
282109
What comes next: 7313, 7307, 7301?
7295
What is next in -1815, -1772, -1703, -1608?
-1487
What is next in 31338, 31335, 31332?
31329
What is the next term in -28, -84, -138, -184, -216, -228?
-214
What comes next: 84, 703, 2370, 5607, 10936, 18879, 29958?
44695
What is next in 344, 486, 646, 830, 1044, 1294, 1586?
1926
What is the next term in 73054, 73045, 73036?
73027
What comes next: 208, 411, 620, 841, 1080, 1343, 1636?
1965
What is the next term in -43180, -86369, -129558, -172747, -215936?
-259125
What is next in 280, 918, 1966, 3412, 5244, 7450, 10018, 12936?
16192
What is next in 2441343, 2441345, 2441347?
2441349
What is next in -9968, -79742, -269130, -637940, -1245980, -2153058, -3418982, -5103560?
-7266600
What is next in 6855, 13727, 20591, 27447, 34295, 41135?
47967
What is next in 1074, 2165, 3268, 4389, 5534?
6709
What is the next term in -4513, -8920, -13327, -17734, -22141, -26548?
-30955
What is next in 24543, 24544, 24545, 24546, 24547, 24548?
24549
What comes next: -869, -1752, -2631, -3506?
-4377
What is the next term in -97, -337, -647, -1027, -1477, -1997, -2587?
-3247
What is next in 496, 432, 356, 268, 168, 56?
-68
What is the next term in -27737, -55466, -83195?
-110924
What is the next term in -278, -550, -822, -1100, -1390, -1698, -2030?
-2392
What is next in 392723, 392720, 392717, 392714, 392711, 392708?
392705
What is next in 21913, 21914, 21915?
21916
What is next in -362029, -724064, -1086099, -1448134, -1810169?
-2172204
What is next in -34573, -69216, -103859, -138502, -173145, -207788?
-242431
What comes next: -875, -1736, -2597, -3458, -4319?
-5180
What is next in -3307, -3355, -3381, -3373, -3319, -3207, -3025?
-2761
What comes next: -3, 266, 713, 1338, 2141, 3122?
4281
What comes next: -140, -149, -158, -167?
-176
What is next in -16467, -32966, -49463, -65958, -82451?
-98942
What is the next term in 5757, 11612, 17483, 23376, 29297, 35252, 41247?
47288
What comes next: -8956, -17932, -26956, -36052, -45244?
-54556
What comes next: 322, 2060, 3800, 5542?
7286
What is next in 901, 877, 849, 817, 781?
741
What is the next term in 395090, 395087, 395084, 395081?
395078
What is the next term in 94, 388, 886, 1594, 2518?
3664
What comes next: -7256, -7240, -7218, -7190?
-7156
What is next in 32, 39, 28, -1, -48, -113, -196?
-297
What is next in 247, 632, 1163, 1864, 2759?
3872
What comes next: -730, -3143, -7154, -12757, -19946, -28715?
-39058
What is the next term in -82, -147, -224, -319, -438, -587, -772, -999?
-1274
What comes next: 360, 1347, 2956, 5187, 8040?
11515
What is the next term in 97, 206, 417, 754, 1241, 1902?
2761
What is the next term in 17692, 35388, 53084?
70780
What is the next term in 320, 331, 342, 353, 364, 375?
386
What is the next term in -4057, -16234, -36521, -64912, -101401, -145982, -198649, -259396?
-328217
What is next in -755525, -755527, -755539, -755567, -755617, -755695, -755807?
-755959
What comes next: -12, -9, 30, 123, 288, 543, 906?
1395
What comes next: -104385, -104373, -104359, -104343?
-104325
What is next in -4875, -11081, -17287, -23493, -29699?
-35905
What comes next: 52, -46, -270, -656, -1240?
-2058
What is next in -2203, -4268, -6333, -8398, -10463?
-12528
What comes next: 2085, 1172, 259, -654, -1567, -2480?
-3393
What is next in 4193, 8431, 12677, 16937, 21217, 25523, 29861?
34237
What is the next term in -95116, -190212, -285302, -380386?
-475464
What is next in 378, 390, 456, 612, 894, 1338, 1980?
2856
What comes next: 132, 173, 190, 171, 104, -23, -222, -505?
-884
What is next in -493, -1324, -2127, -2890, -3601, -4248, -4819, -5302?
-5685
What is the next term in -307578, -615156, -922734?
-1230312
What is the next term in 6811, 13622, 20435, 27250?
34067
What is next in 1311, 1294, 1279, 1266, 1255, 1246?
1239
What is next in -1768, -1819, -1902, -2017?
-2164
What is the next term in 185, 302, 419, 536, 653, 770?
887
What is next in -4199, -8407, -12603, -16787, -20959, -25119?
-29267
What is next in -174, -709, -1604, -2859, -4474, -6449?
-8784
What comes next: 37, 126, 269, 466, 717?
1022
What is next in 13809, 13778, 13747, 13716?
13685
What comes next: 5726, 5741, 5756, 5771?
5786
What is next in 82530, 82532, 82544, 82572, 82622?
82700
What comes next: 17, 89, 281, 653, 1265, 2177, 3449?
5141
What comes next: 2624, 5306, 7988, 10670?
13352
What is the next term in 764, 773, 782, 791?
800
What comes next: -68084, -68083, -68080, -68075?
-68068
What is next in -2701, -2701, -2689, -2665?
-2629
What is the next term in -90, -36, 18, 72, 126, 180?
234
What comes next: -12304, -25559, -38812, -52063?
-65312
What is next in 15881, 63526, 142937, 254114?
397057
What comes next: -198, -56, 86?
228
What is the next term in 6528, 6530, 6540, 6564, 6608, 6678?
6780
What is the next term in -171, 113, 889, 2403, 4901, 8629, 13833, 20759?
29653
What is next in -4343, -8645, -12947?
-17249
What comes next: 1911, 7983, 18219, 32619, 51183, 73911, 100803?
131859
What is the next term in 1451, 1427, 1401, 1373, 1343?
1311
What comes next: 930, 3726, 8398, 14952, 23394, 33730, 45966?
60108
What is the next term in -358, -389, -418, -445, -470, -493?
-514
What is next in 151292, 302590, 453882, 605162, 756424, 907662, 1058870, 1210042?
1361172
What is next in 130, 729, 1720, 3097, 4854, 6985, 9484?
12345
What is the next term in -14515, -14512, -14509, -14506, -14503, -14500?
-14497
What comes next: 4164, 4150, 4126, 4092, 4048, 3994?
3930
What is next in 3841, 3174, 2507, 1840, 1173?
506
What is next in -116986, -116985, -116984, -116983, -116982, -116981?
-116980
What is the next term in -30, -136, -276, -414, -514?
-540
What comes next: -229, -243, -225, -157, -21, 201, 527, 975?
1563
What is the next term in -274, 313, 1288, 2651?
4402
What is the next term in -6482, -12950, -19418, -25886, -32354, -38822?
-45290
What comes next: -72221, -144439, -216657, -288875, -361093, -433311?
-505529
What comes next: -524, -454, -384, -314, -244, -174?
-104
What is the next term in 122, 60, -2, -64?
-126
What is next in -13617, -27237, -40857?
-54477
What is next in 357, 1424, 3195, 5664, 8825?
12672
What comes next: 957, 1976, 2977, 3954, 4901, 5812, 6681, 7502?
8269
What comes next: 1377, 1464, 1599, 1776, 1989?
2232
What is the next term in 148241, 148239, 148237, 148235?
148233
What is the next term in 862797, 862785, 862757, 862707, 862629, 862517?
862365
What comes next: -449, -949, -1533, -2243, -3121, -4209, -5549?
-7183
What is next in 11194, 44806, 100842, 179314, 280234?
403614
What comes next: 3360, 6733, 10106?
13479
What comes next
|
{
"pile_set_name": "DM Mathematics"
}
|
o
Let s = -31 + 33.4. Let l = s + -2.4. What is the closest to l in 3, -1/3, -0.4?
-1/3
Let i = -10/17 - -107/153. What is the nearest to -2/7 in 0.4, i, 0.6?
i
Suppose -2*u = 2*r - 8, -5*r - 3*u + 6 = -8*r. Which is the nearest to 1? (a) 0.21 (b) r (c) -0.5
b
Let h = -0.22 + 0.12. Let z = 2 - 5. Which is the closest to h? (a) -0.4 (b) -4/5 (c) z
a
Let z be -1 - (-2 + (-11)/(-5))*-7. Which is the closest to 0? (a) z (b) -2/7 (c) -2
b
Let a = -38 + 37. What is the closest to a in 0.3, 0, 1/2?
0
Let m = 42 - 169/4. Let p = -0.251 - 1.769. Let z = 0.02 + p. Which is the nearest to -1? (a) m (b) z (c) 2/9
a
Let l = -6 + 9. Which is the nearest to -2/3? (a) l (b) -1 (c) 0.4
b
Let t = 6.5 + -6.4. What is the nearest to t in 0.5, -7/6, 0?
0
Let l = 1 + 0. Suppose 3*a + 4 = -a + 4*j, 2*a = -j - 2. What is the closest to a in -0.1, l, 1/3?
-0.1
Let j = -3.03 - -0.03. Let m = -2719/11 + 247. Which is the nearest to 0.1? (a) j (b) m (c) -2/5
b
Let g = -0.003 + 0.503. Which is the closest to 10? (a) 3 (b) 1/4 (c) g
a
Let l = -38.69 - -39. Let w = 0.01 - l. Let h be (-3 - 5/(-1)) + -6 + 0. Which is the closest to 1/4? (a) h (b) 4 (c) w
c
Let f = -1 - -2. Let t = -1.2 + 0.2. What is the closest to f in -2, t, 2/3?
2/3
Let n be (-8)/(-2)*(-75)/(-100). What is the nearest to -0.01 in -0.3, 0, n?
0
Suppose 5*j - 5*h = 4*j + 2, 4*h = 5*j - 31. Let s be j/((-98)/8) - -1. Let d = 2 - 4. What is the nearest to 1 in d, s, 3/2?
3/2
Let h = -4 + 3. Let g = 0.7 + h. Let s be 2 + (-32 - -32) + -2*1. What is the closest to 0 in g, 0.4, s?
s
Let m = 0.03 - -0.07. Which is the nearest to m? (a) -1 (b) 3/5 (c) -3/2
b
Let u be 1*((-51 - 2) + -2). Let o = 331/6 + u. Let j be 2/(-3) + 4/(-3). What is the nearest to 0.1 in o, j, -2/3?
o
Let b(m) = -9*m + 33. Let r be b(4). Let v = 1 + -2. What is the closest to v in 4, r, 5?
r
Let v = 31 + -31.2. What is the nearest to -0.1 in v, 5, -2/11?
-2/11
Let p = 5 + -6.6. Let n = p + 1.5. Which is the closest to n? (a) -3 (b) -4 (c) 1
c
Let h(k) = k**3 - 5*k - 2. Let i be h(-2). What is the closest to i in -2/7, -0.5, 0.4?
-2/7
Let g = -0.999 + -0.001. Let k = 1.4 + 0.6. Let x = 4 - k. What is the closest to x in -0.3, g, -0.2?
-0.2
Let a = -21.2 - 3.8. Let g = a - -24.6. What is the closest to 0 in 0.1, 5, g?
0.1
Let l = 134281/1496 - -43/374. Let m = l - 179/2. Let h = -2 + 1.6. What is the nearest to -1 in m, 0, h?
h
Suppose -2*m + 3 = -1. Let y be -2*3/(-18)*m. Which is the closest to -0.1? (a) -3/4 (b) -0.5 (c) y
b
Let w = 20.2 - 20. Let x = 2.7 - -0.3. Which is the closest to w? (a) -4 (b) -0.4 (c) x
b
Let f be (-1)/(-2) + (-6)/(-4). Let p = -0.1 - 0.9. Suppose -2*z + 5*z + 2 = -h, 3*h - 16 = 2*z. What is the nearest to 0.2 in f, p, z?
p
Let j = -0.5 - -1. Let t = -0.5 + 0.8. Let l = t + -0.2. What is the nearest to 1/3 in l, j, -1?
j
Let k = -2/179 + -529/716. Which is the closest to -0.1? (a) 2/5 (b) k (c) 2
a
Suppose -9*y + 11*y = 0. What is the nearest to 1 in -2/19, 5, y?
y
Let x = -0.04 - -0.44. Let k = x + -0.4. Let c = 2 + -4. What is the closest to k in -1/4, 4, c?
-1/4
Let i be -2*((-15)/6 + 2). Suppose -2*m = -10 - 0. What is the nearest to i in -4, m, 0.2?
0.2
Let c = -1 + 1.1. Let a = c + 0. Let l(z) = -z**3 - z**2 + 2*z + 3. Let j be l(-2). What is the closest to a in -1, -3/4, j?
-3/4
Let c be 4/(-10) + (-9174)/40. Let r = -231 - c. What is the closest to 0 in 4, 0.5, r?
0.5
Let w = -0.14 + -0.36. Let q = -0.2 + -1.8. What is the nearest to q in -3, w, -0.2?
-3
Let i = 0.3 - 0.4. Let m = -9 + 14. Which is the nearest to 1? (a) 2/7 (b) m (c) i
a
Let l = -1.1 + 0.1. Let d = -5.88 - 0.12. Let i = 4 + d. Which is the nearest to i? (a) 2 (b) l (c) -2/5
b
Let v be (32/60)/4*10. What is the closest to 0.3 in v, 5, -3?
v
Let d(h) = h**2 + h - 3. Let o be d(0). Let q = 0 - 5. Let j be -2 + 1 + (-15)/(-21). Which is the closest to j? (a) -0.2 (b) o (c) q
a
Let h be 20/(-190)*(-2)/(-2). What is the closest to 1/2 in -1, 3, h?
h
Let o = 3.3 + -3. Let l = -0.8 + o. Let f = -2 - -1.6. What is the closest to 1/3 in l, -4, f?
f
Let c = -0.039 + 2.039. Let r = -6 + 5. What is the nearest to r in 4, c, 0.4?
0.4
Suppose -5*p + y - 23 = 0, p - y - 2*y - 1 = 0. Which is the nearest to -1? (a) 31 (b) p (c) -1
c
Let i = -13 - -13. What is the closest to i in 0.5, -1, 4?
0.5
Suppose l - 5*l - 18 = r, 4*r = 3*l + 4. Let z = -0.1 + 0.2. Let a = 1/142 - -277/994. What is the nearest to a in 2, r, z?
z
Let l = -0.3 - -8.3. What is the closest to l in 2/5, 1, 0?
1
Suppose 3*h + 2*h = 0. Suppose b = -3*b + 64. Suppose -3*q = -5*w - 31, -4*w - 5*q + 3*q = b. What is the closest to h in -1, 3, w?
-1
Let a be (18/(-27))/((-16)/9). Let m = -0.3 - -0.4. What is the nearest to m in a, -0.2, 4?
a
Let i = 1.8 - -0.2. Which is the nearest to 1? (a) i (b) -0.4 (c) 1/2
c
Let l = 0.937 - -0.063. Which is the closest to l? (a) 2 (b) -0.2 (c) -3/2
a
Let x(n) = n**2 + 5*n + 6. Let d be x(-2). Which is the closest to -1? (a) -3 (b) d (c) 0.5
b
Let p = -3.8 + 4. Suppose -3*w + 2 = 20. Let m be 0/1 - (-2)/w. What is the nearest to -1 in p, 0.1, m?
m
Let m = -1.01 - -1.21. Let x be (-1)/(-3) + 8/30. What is the closest to 0 in 0.3, x, m?
m
Let j = -2 + 3. Let y = 0.07 - -0.07. Let d = -4.86 - y. Which is the closest to j? (a) -2 (b) 4/3 (c) d
b
Let z = 3.98 - -0.02. Let s = -122 - -117. What is the closest to 1/3 in s, 1/2, z?
1/2
Let j = 4.0357 + -0.0357. Let n = 3/10 - -1/5. What is the nearest to n in -0.5, j, 0.4?
0.4
Let s be ((-6)/(-10))/(8/(-20)). Let g = -0.4 - -2.4. Which is the nearest to -1? (a) s (b) g (c) -0.3
a
Suppose 0 = l - 4. Suppose -l*k - 54 = 10. Let f be ((-1)/(-2))/(4/k). Which is the nearest to -0.1? (a) f (b) 1 (c) 0.1
c
Suppose 0 = 4*z - 4. Let b = 0 + -0.1. What is the closest to b in -2/3, -5, z?
-2/3
Let p(w) = 5*w - 32. Let c be p(7). What is the nearest to -0.2 in c, 2, 1/6?
1/6
Suppose -2*p = -3*p + 1. Let t = -2 + 3. Let w = -1.1 + t. What is the closest to p in 3, w, -2?
w
Let v = 1 - 1.2. Suppose 0 = 2*s + 3*x - 16, 4*x = 8 + 8. Which is the nearest to s? (a) 0 (b) v (c) -2/7
a
Let o be 2/1 - 2*1. Suppose 4*n + 0*k + 71 = -k, -n + 4*k - 22 = o. Let y be -1 + (-1)/10*n. What is the closest to 0 in 0.4, y, -5?
0.4
Let p = -12 - -9. What is the nearest to 0.2 in p, -1, 3?
-1
Let x = 1020/7 + -146. Suppose 4*z - 2 = -4*d - 10, 5*d + 10 = -4*z. What is the nearest to -2 in x, 3/7, d?
d
Let w be (-2)/3 - 39/(-45). Let u = -52 - -53. What is the nearest to u in 2/7, 1/3, w?
1/3
Let j = -19 - -24. What is the closest to 0 in -1/7, -7, j?
-1/7
Suppose 0 = -5*d - 1 - 14. Let o = 2.33 - 0.13. Let m = o + -2. Which is the nearest to m? (a) 5 (b) 2 (c) d
b
Let i = -8 - -4. Let a be (-2)/(((-18)/(-2))/1). Let w = -0.3 - -0.2. What is the closest to w in i, -2/7, a?
a
Let h = -0.134 - 8.866. What is the closest to -0.1 in 3, h, -2/3?
-2/3
Let u = -0.029 - -4.029. What is the closest to 0 in u, -1/9, -2?
-1/9
Let t = 0.2 + -0.6. Let q = 0.37 - 0.27. What is the nearest to 2 in 3, t, q?
3
Suppose -2*f = 5*m - 21, -28 = 4*f - 2*m - 2*m. Let q = -35 + 33. Which is the closest to q? (a) -5 (b) -2/5 (c) f
c
Let c = -223 + 223.1. What is the nearest to 1 in c, 2, -0.4?
c
Let o be 3*5/30*-10. Which is the nearest to -1? (a) o (b) -0.2 (c) -3
b
Let w = -171 - -1193/7. Which is the nearest to -2/7? (a) 0.2 (b) w (c) 0.5
b
Let w = -971/17 + 57. Let f = 1/3 + 1/6. What is the nearest to f in w, -3, -1?
w
Let f = -6 - -2. Let w = 3.8 + f. Which is the closest to -0.1? (a) 4 (b) w (c) 2/3
b
Let y = -1/7 - -9/14. Which is the closest to y? (a) -4 (b) -4/7 (c) -5
b
Let o = 1 - 2. Let p = 531.97 + -536. Let l = -0.03 - p. Which is the closest to o? (a) l (b) -0.2 (c) 3/4
b
Let z = -148.1 - -148. What is the closest to -1/4 in -1, z, 1/8?
z
Let h = 1.5 - 0.5. Let i = h - 0.8. Let y = -3 - -2. Which is the nearest to y? (a) 5 (b) i (c) 3
b
Let n = 5/9 + -19/18. Suppose 2*d - 7*d - 25 = 0. What is the nearest to n in 1, -1, d?
-1
Let f = -1.8 + 1.3. Which is the closest to 2? (a) f (b) -1/3 (c) -3
b
Let z = 16.05 - 15. Let q = 1 - z. Let h = q - 0.45. Which is the closest to 2? (a) h (b) -0.4 (c) -2/11
c
Suppose -y = 3*y. Let z = 0.4 + -0.2. Which is the nea
|
{
"pile_set_name": "DM Mathematics"
}
|
ivided by 3694.
3367
What is the remainder when 99981 is divided by 19644?
1761
What is the remainder when 788876 is divided by 16099?
25
Calculate the remainder when 36990633 is divided by 4723.
97
What is the remainder when 1968820 is divided by 41016?
52
Calculate the remainder when 748771 is divided by 241.
225
Calculate the remainder when 19805794 is divided by 18.
16
What is the remainder when 1133655 is divided by 31?
16
Calculate the remainder when 260563 is divided by 25886.
1703
What is the remainder when 648171 is divided by 691?
13
What is the remainder when 337791 is divided by 19869?
18
What is the remainder when 7531907 is divided by 289?
278
What is the remainder when 15123221 is divided by 7370?
7351
Calculate the remainder when 140069 is divided by 1556.
29
Calculate the remainder when 74522111 is divided by 3248.
3247
What is the remainder when 4470334 is divided by 372507?
250
Calculate the remainder when 36640092 is divided by 2064.
2028
What is the remainder when 352279 is divided by 50321?
32
Calculate the remainder when 1028947 is divided by 812.
143
What is the remainder when 1983733 is divided by 324?
205
What is the remainder when 576127 is divided by 2973?
2338
Calculate the remainder when 9128064 is divided by 26.
10
What is the remainder when 1859233 is divided by 265601?
26
Calculate the remainder when 138584 is divided by 45925.
809
Calculate the remainder when 5950609 is divided by 991767.
7
Calculate the remainder when 1405813 is divided by 3595.
168
Calculate the remainder when 11382 is divided by 7.
0
What is the remainder when 13316971 is divided by 13316970?
1
Calculate the remainder when 1803185 is divided by 902.
87
What is the remainder when 1450936 is divided by 1450918?
18
What is the remainder when 175417 is divided by 58410?
187
What is the remainder when 133269122 is divided by 334847?
16
What is the remainder when 400323 is divided by 6904?
6795
Calculate the remainder when 2489749 is divided by 14713.
3252
What is the remainder when 183993 is divided by 14031?
1590
What is the remainder when 582589 is divided by 97087?
67
Calculate the remainder when 4001056 is divided by 6559.
66
What is the remainder when 515058 is divided by 5989?
4
Calculate the remainder when 110851979 is divided by 250.
229
What is the remainder when 9619236 is divided by 353?
339
What is the remainder when 1159902 is divided by 96657?
18
Calculate the remainder when 21736778 is divided by 160.
138
Calculate the remainder when 947428 is divided by 568.
4
Calculate the remainder when 42886 is divided by 2940.
1726
What is the remainder when 4023337 is divided by 424?
1
Calculate the remainder when 74246384 is divided by 29770.
4
Calculate the remainder when 12832 is divided by 6359.
114
What is the remainder when 38189 is divided by 12357?
1118
What is the remainder when 681758720 is divided by 211?
207
Calculate the remainder when 4349642 is divided by 161096.
50
Calculate the remainder when 121845 is divided by 326.
247
What is the remainder when 1201387 is divided by 865?
767
What is the remainder when 1595781 is divided by 1714?
47
Calculate the remainder when 964595 is divided by 23524.
111
Calculate the remainder when 3671704 is divided by 5565.
4369
Calculate the remainder when 23201 is divided by 2735.
1321
What is the remainder when 4020401 is divided by 60004?
133
What is the remainder when 713122 is divided by 79232?
34
What is the remainder when 20245 is divided by 6597?
454
What is the remainder when 6624610 is divided by 7?
6
Calculate the remainder when 82670086 is divided by 41335040.
6
What is the remainder when 491817 is divided by 1398?
1119
Calculate the remainder when 24323 is divided by 1517.
51
What is the remainder when 9832 is divided by 4618?
596
What is the remainder when 1268889 is divided by 9259?
406
What is the remainder when 609495 is divided by 121694?
1025
Calculate the remainder when 977459 is divided by 977421.
38
What is the remainder when 435239 is divided by 435140?
99
Calculate the remainder when 102317461 is divided by 3100528.
37
Calculate the remainder when 49635076 is divided by 953.
930
What is the remainder when 3785392 is divided by 1025?
67
What is the remainder when 11827011 is divided by 451?
438
Calculate the remainder when 37374 is divided by 16734.
3906
Calculate the remainder when 4780897 is divided by 42.
37
Calculate the remainder when 228786 is divided by 56268.
3714
Calculate the remainder when 1328699 is divided by 1901.
1801
What is the remainder when 9107159 is divided by 140110?
9
Calculate the remainder when 1991116 is divided by 254.
10
What is the remainder when 2540458 is divided by 151?
34
Calculate the remainder when 1502614 is divided by 136601.
3
What is the remainder when 15769 is divided by 6521?
2727
Calculate the remainder when 37509038 is divided by 37508986.
52
What is the remainder when 1874660 is divided by 755?
750
What is the remainder when 3651969 is divided by 4492?
4465
What is the remainder when 43712 is divided by 3522?
1448
Calculate the remainder when 37967 is divided by 3977.
2174
Calculate the remainder when 1239953 is divided by 1239730.
223
Calculate the remainder when 717837 is divided by 89617.
901
What is the remainder when 14812266 is divided by 3121?
0
What is the remainder when 147632 is divided by 2739?
2465
What is the remainder when 1721323 is divided by 430326?
19
What is the remainder when 42779821 is divided by 8?
5
Calculate the remainder when 57603 is divided by 350.
203
What is the remainder when 107970913 is divided by 4069?
4067
What is the remainder when 1581558 is divided by 1021?
29
Calculate the remainder when 15788995 is divided by 32.
3
Calculate the remainder when 844072 is divided by 35127.
1024
What is the remainder when 17355750 is divided by 252?
6
What is the remainder when 4134664212 is divided by 1705?
1702
Calculate the remainder when 777500 is divided by 409.
400
Calculate the remainder when 1427142 is divided by 1262.
1082
What is the remainder when 79151 is divided by 8720?
671
What is the remainder when 123530 is divided by 19278?
7862
What is the remainder when 457905506 is divided by 123?
122
Calculate the remainder when 22072290 is divided by 3081.
6
Calculate the remainder when 6658103 is divided by 110968.
23
What is the remainder when 1285221 is divided by 3052?
329
What is the remainder when 64245 is divided by 67?
59
Calculate the remainder when 457934 is divided by 58.
24
Calculate the remainder when 35290 is divided by 410.
30
Calculate the remainder when 4842115 is divided by 18135.
70
What is the remainder when 6708768 is divided by 59?
55
What is the remainder when 139561 is divided by 45768?
2257
Calculate the remainder when 6073811 is divided by 108.
107
What is the remainder when 17058490 is divided by 3?
1
Calculate the remainder when 1783619 is divided by 3146.
2983
What is the remainder when 41161007 is divided by 110?
107
Calculate the remainder when 500809 is divided by 14213.
3354
Calculate the remainder when 9653163 is divided by 2.
1
What is the remainder when 61465064 is divided by 962?
960
Calculate the remainder when 256331 is divided by 1582.
47
What is the remainder when 240163 is divided by 71?
41
What is the remainder when 256887 is divided by 4670?
37
What is the remainder when 27988061 is divided by 152?
149
Calculate the remainder when 1417034 is divided by 94396.
1094
Calculate the remainder when 244584 is divided by 533.
470
Calculate the remainder when 1902978 is divided by 271823.
217
Calculate the remainder when 112745818 is divided by 2581.
2576
Calculate the remainder when 2220239 is divided by 443931.
584
What is the remainder when 61091438 is divided by 36?
14
Calculate the remainder when 281212 is divided by 178.
150
Calculate the remainder when 6313469 is divided by 1787.
1785
Calculate the remainder when 36556428 is divided by 60826.
2
Calculate the remainder when 671723 is divided by 218.
65
What is the remainder when 1398870 is divided by 288?
54
What is the remainder when 7186 is divided by 18?
4
What is the remainder when 71937 is divided by 1142?
1133
Calculate the remainder when 3478454 is divided by 1763.
55
Calculate the remainder when 146849
|
{
"pile_set_name": "DM Mathematics"
}
|
acement from {x: 1, t: 2, d: 1, g: 1, s: 1, k: 2}?
1/420
Three letters picked without replacement from {s: 3, f: 3, c: 4, m: 3, z: 6}. Give prob of sequence czc.
4/323
Calculate prob of sequence nvg when three letters picked without replacement from {n: 2, v: 3, g: 15}.
1/76
Three letters picked without replacement from kmikckkccc. Give prob of sequence kcc.
1/15
Four letters picked without replacement from {l: 7, t: 5}. Give prob of sequence ttll.
7/99
Four letters picked without replacement from {a: 19, o: 1}. What is prob of sequence aoaa?
1/20
Calculate prob of sequence qu when two letters picked without replacement from gqujjxq.
1/21
Three letters picked without replacement from {l: 4, n: 2, q: 3, m: 2}. Give prob of sequence lmm.
4/495
Three letters picked without replacement from {y: 10, v: 2}. What is prob of sequence yyv?
3/22
Two letters picked without replacement from etcsecctctsets. What is prob of sequence ec?
6/91
What is prob of sequence ncc when three letters picked without replacement from {n: 2, l: 3, a: 3, c: 6, d: 2}?
1/56
Calculate prob of sequence gygy when four letters picked without replacement from yggddyyg.
3/140
Calculate prob of sequence ffh when three letters picked without replacement from {h: 2, f: 9}.
8/55
What is prob of sequence rln when three letters picked without replacement from ialalrlrinlr?
1/110
Two letters picked without replacement from {t: 2, g: 1, s: 1, c: 1, f: 2}. What is prob of sequence tf?
2/21
Four letters picked without replacement from {i: 1, c: 2, l: 2, f: 12, b: 3}. What is prob of sequence lccb?
1/9690
Calculate prob of sequence zz when two letters picked without replacement from zzdz.
1/2
Calculate prob of sequence wwgw when four letters picked without replacement from {w: 5, g: 5}.
5/84
Four letters picked without replacement from {u: 2, z: 1, w: 2, v: 1, q: 1, i: 1}. What is prob of sequence qiwv?
1/840
Two letters picked without replacement from {o: 2, s: 6, p: 4, i: 1, x: 4}. Give prob of sequence ix.
1/68
Two letters picked without replacement from {o: 3, e: 4}. Give prob of sequence oe.
2/7
Three letters picked without replacement from wmv. Give prob of sequence wmv.
1/6
Three letters picked without replacement from {z: 7, l: 3, h: 4}. Give prob of sequence hlh.
3/182
What is prob of sequence gmk when three letters picked without replacement from {q: 9, k: 1, m: 4, g: 1}?
2/1365
What is prob of sequence kxay when four letters picked without replacement from yxyakyxkyxkkk?
1/286
Two letters picked without replacement from {j: 1, z: 5, l: 1, m: 3, p: 3}. Give prob of sequence zm.
5/52
Two letters picked without replacement from lllqlqlllqq. What is prob of sequence qq?
6/55
What is prob of sequence kkkf when four letters picked without replacement from kffkikfkfffff?
8/715
Calculate prob of sequence uuuu when four letters picked without replacement from uknuukukkkkkkuuuuuu.
35/646
Four letters picked without replacement from {n: 3, a: 4, b: 7}. What is prob of sequence nnaa?
3/1001
Calculate prob of sequence jbbj when four letters picked without replacement from bbbjbbbbjb.
1/45
Four letters picked without replacement from {h: 4, q: 6, a: 3, b: 4}. What is prob of sequence qqaq?
3/476
Three letters picked without replacement from ggctgggtccgtgc. What is prob of sequence tgt?
1/52
Calculate prob of sequence shys when four letters picked without replacement from sshy.
1/12
Calculate prob of sequence urzz when four letters picked without replacement from {u: 5, r: 1, z: 3}.
5/504
Calculate prob of sequence lx when two letters picked without replacement from {l: 2, x: 7}.
7/36
Four letters picked without replacement from tgggjtaggtgggggogj. What is prob of sequence gotj?
11/12240
Two letters picked without replacement from tdtdttt. What is prob of sequence dd?
1/21
Four letters picked without replacement from mllwgsssgemgwsew. What is prob of sequence lwel?
1/3640
Calculate prob of sequence eyqp when four letters picked without replacement from {e: 1, y: 3, m: 2, f: 4, p: 2, q: 2}.
1/2002
What is prob of sequence sf when two letters picked without replacement from fjhjjbshjbshhhbhsj?
1/102
Calculate prob of sequence yc when two letters picked without replacement from kkkcykkckmmkmckkkmkm.
3/380
What is prob of sequence wr when two letters picked without replacement from zzztrzazswz?
1/110
Calculate prob of sequence ivty when four letters picked without replacement from vyvbqtqi.
1/840
What is prob of sequence vybk when four letters picked without replacement from yybvbkbybyk?
2/495
Calculate prob of sequence yybb when four letters picked without replacement from {b: 11, y: 3}.
5/182
Four letters picked without replacement from sxspuaxjsspp. What is prob of sequence apjs?
1/990
Three letters picked without replacement from pjjju. What is prob of sequence jjp?
1/10
Three letters picked without replacement from pgmmqzqqlqml. Give prob of sequence lpq.
1/165
Two letters picked without replacement from {l: 1, h: 1, u: 6, o: 9}. What is prob of sequence uu?
15/136
Calculate prob of sequence dcz when three letters picked without replacement from {a: 1, z: 1, d: 3, y: 3, c: 3}.
1/110
What is prob of sequence zzzz when four letters picked without replacement from zzzz?
1
Four letters picked without replacement from mkbykkkkkyckbckkby. Give prob of sequence cbky.
3/1360
What is prob of sequence bbf when three letters picked without replacement from ptttbqgftgbtfpttpftp?
1/1140
Calculate prob of sequence tbv when three letters picked without replacement from {v: 10, m: 1, w: 3, t: 2, b: 1}.
1/204
Two letters picked without replacement from mmzrarwwmoaarrrwrww. What is prob of sequence om?
1/114
What is prob of sequence ss when two letters picked without replacement from {s: 6}?
1
Three letters picked without replacement from wnnwwnwwnwnwnn. What is prob of sequence wnw?
7/52
What is prob of sequence ufug when four letters picked without replacement from {s: 4, f: 1, x: 1, g: 9, u: 4}?
3/2584
Four letters picked without replacement from {t: 2, p: 4, x: 2, h: 5}. Give prob of sequence pxtp.
2/715
Calculate prob of sequence tte when three letters picked without replacement from {w: 2, e: 4, j: 2, t: 2, a: 2, r: 2}.
1/273
Two letters picked without replacement from {m: 1, d: 1, x: 1, o: 1, z: 1, q: 2}. Give prob of sequence dq.
1/21
Three letters picked without replacement from {f: 1, o: 2, i: 1, x: 2, j: 1}. What is prob of sequence ooi?
1/105
What is prob of sequence bjas when four letters picked without replacement from {a: 2, x: 2, u: 8, b: 6, s: 1, j: 1}?
1/9690
What is prob of sequence ez when two letters picked without replacement from {z: 4, l: 5, w: 5, e: 4, i: 1}?
8/171
Calculate prob of sequence ggc when three letters picked without replacement from {g: 5, t: 4, s: 4, c: 1, m: 2}.
1/168
Four letters picked without replacement from {c: 3, x: 1}. Give prob of sequence xccc.
1/4
Calculate prob of sequence on when two letters picked without replacement from ggon.
1/12
Calculate prob of sequence sse when three letters picked without replacement from {s: 7, e: 4}.
28/165
Four letters picked without replacement from {y: 8, w: 4, n: 2}. What is prob of sequence ynyy?
4/143
Three letters picked without replacement from ioioinrriedr. Give prob of sequence ono.
1/660
Calculate prob of sequence ohon when four letters picked without replacement from {h: 8, l: 2, n: 4, o: 3}.
2/595
What is prob of sequence uy when two letters picked without replacement from {y: 9, u: 7}?
21/80
Calculate prob of sequence ab when two letters picked without replacement from baaaabaaba.
7/30
Two letters picked without replacement from {x: 2, f: 1, z: 1, q: 1}. Give prob of sequence fq.
1/20
Three letters picked without replacement from vvvvvvvsvvvvv. Give prob of sequence vvs.
1/13
What is prob of sequence kkw when three letters picked without replacement from kkwwkk?
1/5
Calculate prob of sequence gu when two letters picked without replacement from bhhuubhacubhbug.
2/105
Two letters picked without replacement from nzzezjzqpzezzpzp. Give prob of sequence jq.
1/240
Three letters picked without replacement from {e: 2, l: 1, z: 1, d: 8, o: 2}. What is prob of sequence oed?
4/273
Four letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
l to n?
True
Suppose 8 = -3*l - h, -7*h + 29 = l - 13*h. Which is smaller: -2/11005 or l?
l
Let u(j) be the third derivative of -j**4/24 + 4*j**3/3 + j**2. Let z be u(6). Let c = 552991/7 - 78997. Is z less than c?
False
Let v = -0.13903 + 0.03903. Which is smaller: v or 1416?
v
Let c = -3/1411 - -25455/26809. Let f = 176 - 175.951. Let k = f - -0.051. Which is smaller: c or k?
k
Suppose 5*c - 2457 = 2*y + 16302, 5*y = 3*c - 46926. Are y and -9386 equal?
False
Suppose -4*w - 16 - 16 = 0. Let l be 4/(-2)*w/(-48). Is -26 equal to l?
False
Let k be 1*5/15 - 30988/183. Is -184 > k?
False
Let c = -7.3407 + 0.1407. Which is smaller: 5 or c?
c
Let y be (1 + 9)*132/(-10). Suppose 1031*c + 141546 + 9278 - 12670 = 0. Are y and c non-equal?
True
Suppose 2*k - 5*k = -345. Suppose 6 = -117*s + k*s. Is s at least as big as 12?
False
Suppose -1149 - 563 = -4*o. Let c = 427 - o. Which is smaller: -97 or c?
-97
Let k = 1493/6342 - -4/151. Let d = 3/7 - k. Suppose -10*v = -29*v + 38. Is d < v?
True
Suppose 0 = 3*y, -4*y + 2 + 13 = -5*z. Let r be (z - -8) + -3 - -3. Suppose r*p + 2*p = 0. Which is bigger: -10/11 or p?
p
Let u = 17.457 + -293.457. Which is smaller: -0.001 or u?
u
Suppose 0 = -3*u + p + 6, 3*u - 318*p = -322*p - 24. Do 17.95 and u have the same value?
False
Let l be 539 - (260/585 - 68/(-9)). Is 1059/2 less than or equal to l?
True
Let p = 4616 - 4845. Which is bigger: 0.4 or p?
0.4
Let y(l) = 3*l**2 + 98*l + 1279. Let s be y(-36). Is s < 2?
False
Let f = -513.04 - -12.04. Let q = f + 501.04. Which is bigger: q or 25?
25
Suppose 0 = -4*y - 4, -2*w - 3*y = 3*w - 132. Let b be ((-72)/w)/(66/27). Which is greater: -2 or b?
b
Suppose -q = -4*k - 20428, 5*k = 2*k - q - 15321. Which is bigger: -5106 or k?
-5106
Let a(f) = f + 11. Let s be a(-8). Suppose 75 = -s*y + 6*y. Let n = -505 - -532. Is y smaller than n?
True
Let w be (-180)/(-36) + (-51)/48*106. Let q = 169619/1576 + w. Is q < -1?
False
Suppose -2*c = -3*p + 3, 4*c - 1 + 6 = 5*p. Let a = 37 - 33. Let k be 1241/1564 + (-3)/a. Which is smaller: k or p?
k
Let a(q) = -8*q**2 - 457*q + 386. Let g be a(-58). Suppose 2 = -p + 6. Let v be p/20*(-205)/2. Which is smaller: v or g?
v
Let q be (-1 + 5/3)*3. Suppose -478*r - 1198 = 35*r - 4276. Are r and q equal?
False
Let z = 1/161 + -101/5152. Is -1 at least as big as z?
False
Let u(x) = 5 - 3*x**2 + 2*x**2 + 0*x**3 - x**3. Let r be u(0). Suppose -r*s = 19 - 4. Is -3/5 less than s?
False
Suppose -5*t + 9 = h, -5*h = -4*h - 3*t + 7. Let g be (2/7)/(h/(-35)). Do 49/5 and g have different values?
True
Suppose 29 = -7*c + 148. Let p = -67/4 + c. Let z be (3/(-5))/((-3)/15). Is p bigger than z?
False
Let k = -3/50 - -71/350. Let q = 20.9 + -21. Are q and k equal?
False
Let g(x) = 517*x**3 + 7*x**2 + 22*x - 4. Let a be g(-3). Which is smaller: a or -13965?
a
Let y be (-9)/7 + 2/7. Let n = 119 + -136. Let d = -16.9 - n. Which is smaller: d or y?
y
Let u = 0.015 + 4.585. Let l = 4.99 - u. Let m = 0.09 - l. Which is smaller: m or 2/5?
m
Let s be (0 + -27)*5/21 - (-23 + 17). Which is smaller: s or -346?
-346
Let t = -9360 - -9247. Suppose -z = -4*g - 456, -8*g + 3*g + 2*z - 570 = 0. Which is smaller: g or t?
g
Let n = 2975 - 2960.807. Let f = -0.807 - n. Which is greater: 15 or f?
15
Let z be 8*(1 - (-39)/12). Suppose -3*u + 5*s - z = 0, 8 = 4*s - 12. Let n be ((-4)/(-6))/((-179)/1074). Do n and u have the same value?
False
Let q = 8.022 + -0.022. Let f(l) = 2*l**2 - 2*l + 1. Let x be f(1). Let r be -1*x/((-1)/(-3 + 1)). Which is greater: q or r?
q
Suppose 2860 = 4*a - h, 3*a + 3*h + 664 - 2824 = 0. Let u be -1 - ((-5124)/a)/7. Which is smaller: -1 or u?
-1
Let g = 421.1 + -430.1. Suppose -5*n - 1 = 14. Let y = 5/2 + n. Which is smaller: g or y?
g
Suppose 0 = 2*x - 4*x + 304. Suppose -11*l + 1734 - 941 = -890. Which is greater: l or x?
l
Let k = -0.23771 + 0.20671. Is k equal to 150?
False
Let h be 0 + 1 + 6352806347/5236. Let k = 1213304 - h. Let v = 59/28 - k. Which is bigger: v or -7?
-7
Let f(v) = -28*v**3 + 2*v**2 - 35*v + 88. Let k be f(3). Is -2 greater than or equal to k?
True
Let y = 2.9 + -1.77. Let z = y + -1.43. Which is smaller: z or 0.21?
z
Let m(n) = n**3 + n**2 - 8*n + 16. Let t be m(5). Let x = t - 134. Is -8 greater than x?
False
Let a(l) = -4*l**2 - 13*l + 209. Let h(s) = -7*s**2 - 24*s + 419. Let j(p) = -5*a(p) + 3*h(p). Let u be j(-17). Which is smaller: u or 43?
u
Let c be (-6)/9*6/(-4). Let w = -350783/84 - -4176. Is c equal to w?
False
Let i = -85/6 - -6881/486. Is -0.7 at least as big as i?
False
Let x = -136.79 - -13.89. Let s = x - -122. Which is greater: s or 1.2?
1.2
Let p = -11613283993246/23175 + 501112578. Let f = p + -2/927. Which is smaller: f or -1?
-1
Let q be (((-131813)/(-26257) - 5)*-1)/((-20)/(-14)). Which is bigger: q or -1?
q
Let o(d) be the third derivative of -d**6/120 + 4*d**5/15 - 5*d**4/8 - 8*d**3/3 + 261*d**2. Let x be o(15). Which is greater: x or -1?
-1
Let z(g) = g**2 + g - 31. Let c be z(5). Is c <= 1/460?
True
Let h be 252 + (-2 - 32/8). Let c = h + -245. Is c > -2.1?
True
Let h = 144552 + -98873591/684. Are h and -1 equal?
False
Suppose 5*d = -4*t + 9, -t + 0*d + 5 = 4*d. Let a = -185 - 53. Let z = a - -270. Is z at least as big as t?
True
Let g = -410 + 2053/5. Let o = 192.4 - 195. Are o and g unequal?
True
Let r = -7690.00085 - -0.00085. Is -1 less than r?
False
Let p = -17771 + 17813. Does p = 9/40?
False
Let d = 24 + 284. Suppose d = 12*h - 5*h. Do 44 and h have the same value?
True
Let d = 13897 + -26742. Which is bigger: -12844 or d?
-12844
Let k be 13 + -7 - (11 + 1). Let g be 2*(-7)/(-42)*k. Is -7/6 <= g?
False
Let p be 4/14 + 6/28. Let u be 8/(-28) - -4638*5/70. Let t = u + -331. Is p less than or equal to t?
False
Suppose 202*j = 213*j + 20933. Let g = 74221/39 + j. Suppose -2*t + l + 6 = 3*l, -5*t - 1 = -3*l. Is g greater than t?
False
Let p(j) = -3*j**3 - 31*j**2 + 16*j - 66. Let r be p(-11). Are 1/2194 and r unequal?
True
Let s = -0.09 - -2.09. Let b = 30 - -6. Let a = 35.96 - b. Which is smaller: a or s?
a
Let o = 17033.1 - 17033. Is 8/71 less than o?
False
Suppose -c + 4*i = -17 + 4, -c - 5 = 5*i. Suppose -2*z = c + 3. Let w be 48/(-15) + (-4)/(-10). Is z smaller than w?
True
Suppose 9*m + 4 = 11*m. Let f be (-56)/(-176) - (m - (-72)/(-33)). Let u = -13/34 + -2/17. Which is smaller: u or f?
u
Let j = -746938/17 + 43467916/1003. Let q = 1172487/1003 + j. Let n = q + -569. Which is bigger: n or 0?
n
Let m = -612 - -612.05. Which is greater: m or 0.19?
0.19
Let t = 1237.98 - 35.98. Which is greater: t or 2?
t
Let u = 160 + -161. Let w = -5/856 - 76169/2568. Let j = 1516/51 + w. Which is greater: u or j?
j
Let l = -384112/5 - -80491. Is l equal to 3669?
False
Let k = 10995 - 4800. Is 6194 less than k?
True
Suppose -16*a - 5055 + 4079 = 0. Do -65 and a have the same value?
False
Let d be 2/8 - (-4)/(-10). Let p = -0.17344 - -0.07344. Is p not equal to d?
True
Let u be (5 + -1)/(-20) - 4/(-20). Let h = 2733 + -1642532/601. Is u equal to h?
False
Let p = -197 + 194. Let h(i) = -3*i**3 - 5*i**2 - 6*i - 2. Let o be h(p). Is 53 <= o?
False
Let g = -12547 + 12548. Is -10694 less than or equal to g?
True
Let i(o) = -24*o + 276. Let z be i(6). Which is bigger: z or 914/7?
z
Let j = -99219/11 + 9220. Let h(o) = 202*o**3 + o**2 - 1. Let r be h(1). Let f = j - r. Is -3 <= f?
True
Let l be 13/2*(67 - (-217)/(-7)). Do 241 and l have the same value?
False
Let g = -0.04033 + -0.15967. Which is smaller: -520 or g?
-520
Let v be (4/(-36)*-9)/(1*(-3)/813). Which is bigger: -269 or v?
-269
Let p be (15/2)/((-28)/(-168)). Suppose -2*r - p = -5*r. Does r = 9?
False
Let k(f) = 2*f**2 + 48*f - 182. Let z be k(-37). Suppose 7*t - 37*t - z = 0. Let b = -3 + 2. Which is greater: t or b?
b
Suppose 10*b + 12120 = 36*b + 4*b. Is 396 greater than b?
False
Suppose -v + 75 = 3*k + 39, 66 = v - 3*k. Is v != 248/5?
True
Let u = -454 - -195. Which is smaller: -265 or u?
-265
Let r = 79873/78 - 1024. Suppose 29 = 2*z + 31. Let k be (-5)/(0 + 5)*z. Is k at least r?
True
Let d(l) be the first derivative of 5*l**3/3 + 14*l**2 + 4*l + 46. Let j be d(-5). Let r = 54 - 66. Is j != r?
True
Let j be (252/105)/((-8115)/(-25)). Which is bigger: j or 3/5?
3/5
Let t = -110 + 69.3. Let y = -30.7 - t. Which is greater: y or 2?
y
Let k = -4/70983 +
|
{
"pile_set_name": "DM Mathematics"
}
|
common divisor of 25 and 17725?
25
Calculate the highest common factor of 1185 and 45.
15
What is the highest common factor of 20 and 640?
20
What is the highest common factor of 1443 and 741?
39
What is the greatest common divisor of 2717 and 572?
143
Calculate the highest common divisor of 6808 and 24.
8
What is the highest common divisor of 1449 and 9?
9
What is the highest common divisor of 30 and 330?
30
What is the greatest common divisor of 140 and 14420?
140
Calculate the highest common divisor of 11 and 11033.
11
Calculate the greatest common factor of 232 and 87.
29
What is the greatest common factor of 13376 and 152?
152
What is the greatest common divisor of 3589 and 111?
37
What is the highest common divisor of 54 and 2556?
18
Calculate the highest common divisor of 106 and 159.
53
Calculate the greatest common factor of 48 and 248.
8
What is the highest common divisor of 1133 and 22?
11
What is the highest common factor of 70 and 15855?
35
What is the greatest common factor of 639 and 27?
9
Calculate the greatest common divisor of 143 and 234.
13
What is the highest common factor of 2 and 26?
2
Calculate the greatest common factor of 13116 and 6.
6
Calculate the highest common divisor of 74 and 370.
74
What is the highest common divisor of 1214 and 2?
2
Calculate the greatest common factor of 153 and 9027.
153
Calculate the highest common factor of 192 and 12.
12
What is the highest common factor of 38 and 2033?
19
Calculate the highest common divisor of 76 and 76.
76
Calculate the highest common factor of 115 and 414.
23
Calculate the highest common divisor of 126 and 567.
63
Calculate the greatest common factor of 25 and 100.
25
Calculate the highest common factor of 325 and 130.
65
What is the greatest common divisor of 196 and 98?
98
Calculate the highest common divisor of 46 and 6.
2
What is the greatest common divisor of 70 and 224?
14
What is the greatest common divisor of 3634 and 23?
23
What is the highest common factor of 464 and 74472?
232
What is the highest common factor of 84 and 24?
12
Calculate the highest common divisor of 1166 and 264.
22
What is the highest common divisor of 48 and 60?
12
What is the highest common factor of 1890 and 798?
42
Calculate the highest common divisor of 1199 and 121.
11
What is the highest common factor of 20 and 2900?
20
What is the greatest common factor of 1024 and 160?
32
Calculate the highest common divisor of 23437 and 23.
23
What is the greatest common factor of 1140 and 525?
15
Calculate the highest common divisor of 8075 and 95.
95
What is the highest common divisor of 4 and 412?
4
What is the greatest common divisor of 72 and 1152?
72
What is the highest common factor of 3114 and 36?
18
Calculate the greatest common factor of 1278 and 36.
18
Calculate the greatest common divisor of 168 and 696.
24
Calculate the greatest common divisor of 329 and 217.
7
What is the greatest common factor of 406 and 174?
58
Calculate the greatest common factor of 55 and 1705.
55
Calculate the greatest common factor of 2055 and 137.
137
What is the highest common divisor of 406 and 182?
14
Calculate the highest common factor of 10 and 290.
10
Calculate the greatest common divisor of 115 and 253.
23
Calculate the highest common divisor of 477 and 6519.
159
What is the highest common factor of 880 and 2000?
80
Calculate the highest common divisor of 216 and 16.
8
What is the highest common factor of 17 and 85?
17
What is the greatest common factor of 8 and 11464?
8
What is the highest common factor of 1218 and 546?
42
What is the highest common divisor of 50 and 1450?
50
What is the highest common factor of 1288 and 21574?
322
Calculate the highest common factor of 63 and 54.
9
What is the highest common divisor of 56 and 128?
8
What is the greatest common divisor of 222 and 629?
37
Calculate the highest common factor of 10 and 1090.
10
What is the highest common divisor of 130 and 585?
65
What is the highest common factor of 136 and 32?
8
What is the highest common factor of 8 and 784?
8
What is the greatest common factor of 40 and 128?
8
What is the greatest common divisor of 380 and 323?
19
What is the highest common divisor of 217 and 18011?
217
What is the greatest common divisor of 261 and 696?
87
Calculate the greatest common factor of 1539 and 76.
19
Calculate the highest common factor of 12 and 5732.
4
Calculate the highest common factor of 108 and 960.
12
Calculate the greatest common factor of 1406 and 38.
38
What is the highest common divisor of 190 and 38?
38
Calculate the highest common factor of 16 and 116.
4
What is the highest common factor of 539 and 196?
49
Calculate the greatest common factor of 10302 and 102.
102
Calculate the greatest common divisor of 704 and 44.
44
Calculate the highest common divisor of 36 and 48.
12
Calculate the greatest common divisor of 9 and 4653.
9
Calculate the greatest common factor of 112 and 77.
7
What is the highest common factor of 12800 and 200?
200
What is the greatest common divisor of 36 and 252?
36
Calculate the highest common divisor of 80 and 60.
20
Calculate the greatest common divisor of 48 and 468.
12
What is the greatest common divisor of 57 and 627?
57
What is the greatest common divisor of 34136 and 680?
136
What is the highest common divisor of 90 and 1170?
90
Calculate the greatest common factor of 2 and 242.
2
Calculate the highest common factor of 870 and 3190.
290
What is the greatest common divisor of 91 and 14?
7
What is the highest common divisor of 3 and 8?
1
Calculate the highest common divisor of 22 and 138.
2
What is the highest common factor of 7760 and 40?
40
What is the highest common factor of 728 and 312?
104
Calculate the highest common divisor of 800 and 608.
32
What is the highest common factor of 1507 and 11?
11
What is the highest common divisor of 702 and 3618?
54
What is the greatest common divisor of 2214 and 36?
18
Calculate the greatest common factor of 301 and 2021.
43
Calculate the highest common divisor of 704 and 11.
11
Calculate the greatest common factor of 448 and 256.
64
What is the highest common divisor of 74 and 24938?
74
Calculate the highest common divisor of 6417 and 552.
69
Calculate the greatest common divisor of 702 and 104.
26
What is the greatest common divisor of 138 and 1035?
69
Calculate the greatest common factor of 48 and 384.
48
What is the highest common factor of 108 and 8046?
54
Calculate the greatest common divisor of 76 and 5738.
38
Calculate the highest common factor of 72 and 60.
12
What is the highest common divisor of 72 and 9?
9
Calculate the greatest common divisor of 21 and 15.
3
What is the greatest common factor of 1833 and 39?
39
Calculate the greatest common divisor of 1110 and 999.
111
What is the highest common factor of 21 and 133?
7
Calculate the greatest common divisor of 174 and 12.
6
Calculate the greatest common divisor of 96 and 5048.
8
Calculate the highest common factor of 3 and 89.
1
Calculate the greatest common divisor of 18 and 10.
2
What is the highest common divisor of 924 and 22?
22
Calculate the greatest common divisor of 48 and 312.
24
Calculate the highest common divisor of 212 and 477.
53
What is the greatest common factor of 20538 and 630?
126
Calculate the highest common divisor of 34 and 85.
17
Calculate the greatest common factor of 23289 and 14.
7
Calculate the highest common factor of 306 and 714.
102
Calculate the greatest common factor of 32 and 2792.
8
What is the highest common divisor of 21051 and 9?
9
Calculate the greatest common factor of 217 and 31.
31
What is the greatest common divisor of 78 and 1378?
26
Calculate the highest common factor of 39216 and 96.
48
Calculate the highest common divisor of 20 and 1140.
20
What is the greatest common divisor of 721 and 4017?
103
What is the greatest common factor of 8 and 500?
4
What is the highest common factor of 53 and 371?
53
Calculate the greatest common divisor of 41 and 4879.
41
What is the highest common factor of 87 and 319?
29
What is the greatest common factor of 510 and 2010?
30
Calculate the greatest common divisor of 33 and 1056.
33
Calculate the highest common factor of 96 and 336.
48
Calculate the greatest common divisor of 478 and 26.
2
What is the highest commo
|
{
"pile_set_name": "DM Mathematics"
}
|
253*q - 165 + 165)*(1 - 1 - 2*q**3).
506*q**4
Expand (4 - 5 + 14)*(-42 + 42 - 16*m).
-208*m
Expand 1238*n + 41*n**2 - 1238*n + (-6*n + 3*n + n)*(-n + 2*n - 4*n)*(2 + 1 - 5).
29*n**2
Expand 0 - 2 + 12*t + 0 + (-4 + 0 - 3)*(-2*t - 3*t + 7*t) + 0 + t + 0.
-t - 2
Expand -9 - 215*z - 167*z + 377*z - 1 + 1 + z + (-6 + 2 + 3)*(0*z - z + 0*z).
-3*z - 9
Expand (-20*c + 694*c - 371*c)*(-3*c + 3*c - 2*c).
-606*c**2
Expand (q - 2*q - q)*(-q**4 - 30*q**4 + 134*q**4 + 223*q**4).
-652*q**5
Expand f**4 - 5*f**4 + f**4 + (0*f + f + 9*f)*(-f**3 - f**3 + 3*f**3) + (2*f**4 + 2*f**4 - 3*f**4)*(3 - 1 + 1).
10*f**4
Expand (3 + 4 - 5)*(1392*g - 606*g - 553*g).
466*g
Expand (1 - 4 + 1)*(-3*f - 3*f + 4*f)*(5 + 31 - 13)*(-2 + 1 - 1).
-184*f
Expand (-3*t + 2*t**2 + 2*t + 2*t**2)*(-17*t**2 - 23*t**2 - 5*t**2).
-180*t**4 + 45*t**3
Expand (-2*v - 2*v + 3*v)*(-v**2 - v**2 + 4*v**2) - 3 - 11*v**3 + 3 + (1 - v - 1)*(2 + 2*v**2 - 2).
-15*v**3
Expand (-2*h - 2*h + 3*h)*(-105 - 7 + 52)*(-2*h + 2*h + h).
60*h**2
Expand 2*n**3 + 3*n**3 + n**3 + (10 - 3 + 4)*(-2*n - 2*n**3 + 2*n).
-16*n**3
Expand (p + 6*p - 4*p)*(-10*p - 8*p + 4*p - 1 - p + 1 + (5 - 1 - 3)*(4*p - 3*p - 4*p)).
-54*p**2
Expand (2*g**3 - 3*g**3 + 0*g**3 + (-3*g - g + 2*g)*(5*g**2 + 0*g**2 - 3*g**2) + 1 - 1 - 2*g**3)*(8*g**2 - 10*g**2 - 6*g**2) - 2*g**5 - 3*g**5 + 9*g**5.
60*g**5
Expand (5 - 13 + 12)*(4*n**2 + 0*n**2 + 6*n**2).
40*n**2
Expand -w**4 - 180*w + 182*w - 2 - 5 + (3*w + 7 - 7)*(-2*w**3 + 1 - 1).
-7*w**4 + 2*w - 7
Expand (-1 + 0 + 0)*(-132*n**2 + 31*n**2 + 43*n**2 - 2 - 2*n).
58*n**2 + 2*n + 2
Expand 8 - 8 + 6*x**4 + (-2*x - x**2 + 2*x)*(-2*x**2 + 0*x**2 + 0*x**2) + 2*x**4 + x**4 + x**4 - 3*x**4 - 2*x**4 - 3*x**4.
4*x**4
Expand (2*f - 3*f - f)*(0 - 1 - 1)*(206*f**2 - 927*f**2 - 241*f**2).
-3848*f**3
Expand (1 + 4 - 6 + 6 - 2 - 3 + 2 + 3 - 6 + (-3 - 1 + 3)*(5 - 1 - 2) - 3 + 3 + 2 + 1 - 2 - 3)*(-14*n**5 + 4*n**5 + 3*n**5).
35*n**5
Expand ((4*p - 6*p + 0*p)*(-6*p + 3*p + p) - 2 + 2 - 6*p**2)*(1 - 2 + 2)*(-11 - 6 + 3)*(-2*p - 3*p + 2*p).
-84*p**3
Expand (33*v + 0 + 3 - 35*v)*(2 + 3*v**2 - 2)*(-1 - 1 + 8).
-36*v**3 + 54*v**2
Expand (-279 + 109 - 126)*(0*q + q + 0*q).
-296*q
Expand (2 - 5 + 4)*(-3*i**4 - 7*i**4 - 14*i**4) - 7*i**3 + 7*i**3 + 2*i**4.
-22*i**4
Expand (857 - 1714 - 17*u + 869)*(2 - 1 - 3)*(-3 - 1 + 3).
-34*u + 24
Expand (6 + 3 - 5)*(2 - 1 + 0)*(-2*g + 2*g + g)*(-11 - 9 + 3).
-68*g
Expand ((3 - 3 - 1)*(k + 3 - 3) - 3*k + k + 4*k + 0*k - 4*k + 2*k)*(-3 + 1 + 4) + 4*k - 1 + 1 + 21 - 21 + 10*k.
12*k
Expand (-3*v - v + 5*v + (0 - 2 - 1)*(-5*v + 0*v + 3*v) - v + 0*v + 2*v)*(-3 - 1 + 2 - 6 + 6 - 16 + 0 + 3 - 1 + (0 - 6 + 4)*(-1 + 4 - 2)).
-144*v
Expand (-6*y + 44*y + 193*y)*(-1 + y + 1)*(y + 1 - 1).
231*y**3
Expand (-3 - 3 - 2*a + 5)*(-71*a**3 + 0*a**3 - 11*a**3).
164*a**4 + 82*a**3
Expand 3*p**5 - 5*p**5 + p**5 + (4*p**2 + 23*p**2 + 49*p**2)*(-3 + 3 + 2*p**3).
151*p**5
Expand (1 - 7 + 0)*(y + 2*y - y)*(-3*y**2 + 0*y**2 + 2*y**2).
12*y**3
Expand ((-2 + 2 + 1)*(3 - 1 + 0) - 4 - 2 + 5)*(182*w - 95*w + 25*w**3 - 85*w - w**5).
-w**5 + 25*w**3 + 2*w
Expand ((4 + 0 - 5)*(3*b + b - 3*b) - 35*b - 20*b - 11*b)*(0 + 1 + 1).
-134*b
Expand 4*h**2 - 6*h**4 - 4*h**2 + (-6*h - h - 5*h)*(0*h**3 + 3*h**3 - 5*h**3).
18*h**4
Expand (-2 + 5 - 1)*(38*k - 5*k - 14*k)*(5 + 2*k**4 - 5).
76*k**5
Expand (2*d - 2*d - d)*(-13*d - 518 + 518).
13*d**2
Expand (0*r**2 - 2 - 2*r**2 + 0*r**2)*(-53 - 31 + 57)*(1 - 6 + 2).
-162*r**2 - 162
Expand i**4 + 0*i**4 + 0*i**4 + (4*i**4 - 6*i**4 + 0*i**4)*(-4 + 6 + 0) - 4*i**2 + 291*i**4 - 141*i**4 - 145*i**4.
2*i**4 - 4*i**2
Expand (3 - 3 - 1)*(-1 + 0 - 1)*(2*k + 1 - 1) - k + 3*k - 4*k + k + 5*k - 4*k + (2*k + 2*k - 2*k)*(2 + 0 - 4) + 2*k - k + k + 4 - k - 4 + 2*k - k + k.
3*k
Expand (-3*m + 2*m + 2*m)*(2 + 2 - 19)*(0 - 4 - 6).
150*m
Expand (2 - 2 + 2*r)*(-1109*r**3 + 72*r**4 - 73*r**4 - 486 + 486).
-2*r**5 - 2218*r**4
Expand (2*r - 9*r - 897 + 2*r**2 + 886)*(-1 + 0 + 2).
2*r**2 - 7*r - 11
Expand (0 + 0 + 1)*(o**4 + 2*o**4 + 547 - 139*o - 549).
3*o**4 - 139*o - 2
Expand (8 - 8 - m**2)*(-3*m + 4*m + m)*(-11*m - 3*m + 0*m).
28*m**4
Expand (-1 + 1 + 2*z)*(-47 + 97 - 25*z - 52).
-50*z**2 - 4*z
Expand (-5*d**3 + 0*d**2 + 0*d**2)*(0*d + 2*d + 0*d)*(30*d - 12*d - 11*d).
-70*d**5
Expand -2 - z**2 + 2 + (-2 - 2 + 2)*(-39*z - 127*z - 27*z)*(2 - 4*z - 2).
-1545*z**2
Expand (5 - 3 + 1)*(-1 - 2 + 4)*(-3 + 1 + 1 + (5 - 1 - 2)*(0 + 2 + 1))*(3*g + g - 6*g).
-30*g
Expand (2*w + 3 - 3)*(464 + 488 + 303 + 782).
4074*w
Expand (-2*n**3 + 0 + 0)*(18 + 28 - 4) + n**3 + n**3 + 3*n**3.
-79*n**3
Expand (15*g - 15*g + 8*g**2)*(7 - 4 - 4).
-8*g**2
Expand (-2 + 3 + 0)*(2*l + l - 4*l)*(4 + 5 - 3)*(2 - 2 - l) + (2*l - l - 2*l)*(l + l + 0*l).
4*l**2
Expand (-1 + 1 - 3*o)*(-3*o + o + 3*o) - 11*o**2 + 15*o**2 - 2*o**2.
-o**2
Expand (-3*l + 4*l**2 + 3*l)*(3*l - 2*l + l) + 19*l**3 - 20*l**3 + 11*l**3.
18*l**3
Expand (9*l - 9*l + 8*l**2)*(0 + 0 + l**2 - 4*l**2 + 4*l**2 + l**2 + (-5*l**2 + 2*l**2 + 0*l**2)*(2 + 1 - 4)).
40*l**4
Expand 2*m**2 - 2*m**2 - 15*m**2 + (2*m - 2 + 2)*(6*m - m - 3*m) + (-2*m**2 + m**2 - m**2)*(0 + 1 - 3).
-7*m**2
Expand (-40*i - 1 - 17*i + 100*i + i**2)*(-3*i**3 + 4*i - 4*i).
-3*i**5 - 129*i**4 + 3*i**3
Expand (-109*t + 29*t + 30*t)*(63*t**4 - t**3 + 0*t - 67*t**4 - 2*t).
200*t**5 + 50*t**4 + 100*t**2
Expand (-70*p + 130*p**3 + 70*p)*(0 - 1 - 2*p + 0).
-260*p**4 - 130*p**3
Expand (-4*t**4 + 3*t**4 - 4*t**4)*(3*t - 4*t + 0*t) + 0*t**3 + 6*t**5 + 0*t**3 + (-2*t**2 + 0*t**2 + 0*t**2)*(3 - 3 + t**3) - 3*t**2 + 3*t**2 + 3*t**5.
12*t**5
Expand (4*o**4 - o**4 + 3*o**4)*(-15 + 2*o + 45 - 11).
12*o**5 + 114*o**4
Expand (-68*x**2 + 1602 - 1602 + (3*x + x - 5*x)*(-x + x - x))*(-1 + x + 1).
-67*x**3
Expand (3 - b - 3)*(b**3 + 0*b**3 - 3*b**3) - b**3 + b**3 - b**4 + (4*b**2 - 5*b**2 + 5*b**2)*(0*b + 0*b + b**2) - 490*b**4 + 1050*b**4 - 456*b**4.
109*b**4
Expand (147*r**2 - 147*r**2 + 14*r**3)*(-2*r**2 - 5*r**2 + 10*r**2 + (2*r + 1 - 1)*(-4*r + r + 5*r)).
98*r**5
Expand (4*m + 2 + 4*m - 6*m)*(-3 - 12 + 6)*(1 + 5 + 2).
-144*m - 144
Expand (3*v + 2*v**2 - 3*v)*(6356 - 230*v - 6356).
-460*v**3
Expand -v**4 + 0 + 0 + (2*v + 3 - 3)*(-3*v**3 - 2*v**3 + 4*v**3) - v**4 + 5*v**4 - 2*v**4 - 5 + 8*v**4 + 5 - 4*v**4 + 42*v**3 + 47*v**3 + 2 - 94*v**3 - v**2.
3*v**4 - 5*v**3 - v**2 + 2
Expand (-90 - 17 + 13)*(-2 - 2*u**3 + 2)*(-2*u - u + 5*u).
376*u**4
Expand (-3 - 11 - 12)*(-2*f**4 - f**4 + 2*f**4) - 2*f**4 + f**4 + 2*f**4 + (2 - 2 - f**3)*(4*f - 2*f + f) + 2*f**4 - 2*f**4 - f**4.
23*f**4
Expand ((1 + 3 - 3)*(-w**2 + w**2 + w**2) - 14*w**2 + 243 - 243)*(4*w + 2*w - 4*w).
-26*w**3
Expand (-3*j - 1 + 1)*(j + 74*j**2 - 48*j**2 - 4 - 32*j**2).
18*j**3 - 3*j**2 + 12*j
Expand (4 + 12*i + 5 + 2*i**3 - 8)*(-1 - i + 1 + 2*i - 1 + 1 + (-1 - 5 + 2)*(2*i + 3 - 3)).
-14*i**4 - 84*i**2 - 7*i
Expand (1 - 2 + 2 + (0 + 1 + 0)*(3 - 3 + 2) + 0 + 4 - 3)*(-19*k**3 - 103*k**4 + 19*k**3).
-412*k**4
Expand (-4*p - p + 4*p)*(3*p + 3*p + 8*p)*(0*p + p + 0*p + (-1 + 3 - 3)*(-4*p - p + 4*p)).
-28*p**3
Expand ((-w**3 + w**3 + 2*w**4)*(-815 - 558 + 1128) - w**2 + w**4 + w**2 + 0*w**2 + 2*w**4 + 0*w**2)*(-2*w + 3*w + 0*w).
-487*w**5
Expand ((0 + f + 0)*(4*f**3 - 5*f**3 + 2*f**3) - 3*f**4 + 4*f**4 - 3*f**4 - 2 + 1 + f**4 + f**4 + (2 - 2 - f**2)*(-f - 2*f**2 + f))*(-21*f + 2*f - 11*f).
-90*f**5 + 30*f
Expand m - m + 3*m - 2*m - 4*m - m + (0 - 1 + 2)*(-2*m + m + 3*m) + 3 - 3 - m - 2 + 2 + 2*m + (-2 + 0 + 1)*(-m - m + 3*m) - 3 + 3 + 2*m - 3 + 2*m + 3.
2*m
Expand -4*y**2 + 5*y**2 + 0*y**2 + (1294*y - 1294*y - 2*y**2)*(3 + 1 - 3) - y**2 + 3*y**2 + 0*y**2 + (3*y - 5*y + 4*y)*(-2*y + 3 - 3).
-3*y**2
Expand (10*f**3 - 5*f**3 + 8*f**3)*(11 + 0 + 9 + f).
13*f**4 + 260*f**3
Expand (-k + 3*k - 3*k)*(-7 - 2 + 33).
-24*k
Expand 77 - 43*t - 25*t + t**2 + 66*t + (2*t + 2*t - 5*t)*(-2*t - 2 + 2).
3*t**2 - 2*t + 77
Expand -k**3 + 0 + 0 + (-3 + 8 + 2)*(-1 - 4 + 3)*(-3 + 0 - 1)*(-3*k - k**3 + 3*k).
-57*k**3
Expand (a - 3*a + a - 1 + 2*a + 1 + (1 - 1 - 1)*(-4 + 4 - 3*a))*(-7 + 7 + 9*a)*(0 - 3 + 1).
-72*a**2
Expand -c - 2*c + 2*c - 4*c + 0*c + 3*c + (-3 + 3 - 2)*(-3*c + 5*c - 3*c) + 2*c + 3*c - 4*c + 5*c - 4*c + c - c - 2*c + 2*c - 121 + 232 - 119 + 13*c.
15*c - 8
Expand (9 + 0 - 2)*(-5*g + 2*g - 4*g)*(-1 + 1 - 2).
98*g
Expand (6 - 1 - 8)*(-k + k + k**2)*(-3*k**3 + k**3 - k**3).
9*k**5
Exp
|
{
"pile_set_name": "DM Mathematics"
}
|
z. What is the tens digit of m?
5
Suppose -11*m = -3810 - 9423. What is the units digit of m?
3
Let b = -3003 + 6552. What is the tens digit of b?
4
Let p be (6 - 1) + -4 + -25. What is the hundreds digit of p/(-84) - (-2 + (-10305)/21)?
4
Let k(y) = y**3 - 8*y**2 + y + 8. Let l be k(8). Let x(d) = -4*d + 356. Let n be x(27). Suppose l*z + n = 18*z. What is the units digit of z?
4
Suppose 4*h - 1083 = -1163. Let p(n) = -66*n - 368. What is the hundreds digit of p(h)?
9
Let w(i) = -i**3 - 3*i**2 + 5*i + 6. Let q be w(-4). Let y be (44/(-2) - -2)/((-4)/(-38)). What is the tens digit of (y/(-15))/(q/3)?
1
Let t be (-8)/6 + (-36)/(-27). Suppose a - 5*l - 2 = t, a + l + 0 = 2. Suppose a*h - 8*h = -12. What is the units digit of h?
2
Suppose 0 = 4*w - 4, -z + 32 = 2*w + 8. Let y = 7 - -67. Let g = y - z. What is the units digit of g?
2
Suppose -2*z - 6 = -5*z, -g = -z - 3984. What is the hundreds digit of g?
9
Let t = -14 + 23. Suppose 18*q - 21*q + t = 0. Suppose 5*r + 0*r + 5*g = 295, g + q = 0. What is the tens digit of r?
6
Suppose n = 3*s + 3919, 3857 = 3*n + s - 7950. What is the tens digit of n?
3
Let b(h) = -h**2 + 42*h - 13. Let z be b(30). Let j = -173 + z. What is the units digit of j?
4
Let m be 563 + 2/2 + 16 + -15. Suppose -m = -5*y - p + 605, 20 = 4*p. What is the hundreds digit of y?
2
Suppose -4*o + 6 - 14 = 0. What is the hundreds digit of ((-324)/o)/((-6)/18 + 1)?
2
Suppose -16*t - 16*t = -39*t - 203. Let s be 1*(0/(-1) - -25). Let m = s - t. What is the tens digit of m?
5
Let v = -13277 + 31985. What is the thousands digit of v?
8
Let t(a) = 9346*a**2 + 628*a - 3. What is the hundreds digit of t(-2)?
1
Let b = 1127 + -727. Suppose -b = -5*r + 585. What is the units digit of r?
7
Let c(p) = -11*p**3 - 5*p**2 + 15*p + 38. What is the tens digit of c(-6)?
4
Suppose 690 = -0*a - 5*a. Let k = a + 151. Suppose -i + k*i = 2556. What is the hundreds digit of i?
2
What is the tens digit of -6 - (-243 - (20 + -12))?
4
Let z(q) = 226*q**2 + 11*q - 53. What is the thousands digit of z(4)?
3
Let m(a) = -3*a + 33. Let j be m(10). Let g = j + 319. What is the units digit of g?
2
Suppose z - 4051 = -755. Suppose -3*u + r = -z, 18 = 4*r + 2. Suppose -4*l + u = 6*l. What is the hundreds digit of l?
1
Let k be 10/6*(-135)/(-75). Suppose -k*s + 12117 = 18*s. What is the units digit of s?
7
Suppose 362*d = 408*d - 362618. What is the units digit of d?
3
Let a = 42260 - -12505. What is the hundreds digit of a?
7
Suppose -1448 = 10*l - 5358. Let q = 134 - l. Let z = -93 - q. What is the tens digit of z?
6
Suppose -9*l - 8093 = -11*l + 3*x, 0 = 4*l - 5*x - 16177. What is the hundreds digit of l?
0
Let j = 48 - 45. Suppose 97 = j*a - 29. Suppose -a + 12 = -5*r. What is the units digit of r?
6
Let s = 3769 - -1419. What is the units digit of s?
8
Let j be ((3 + -2)*(-1 + 1))/(-1). Suppose 5*o + j*o = 10. What is the tens digit of -2 - -63 - (-4 + o + 4)?
5
Suppose -131 = -10*g + 69. Let u = g - -73. What is the tens digit of u?
9
Let k = 124 - 120. Suppose k*q - j - 120 = -2*j, -45 = -q - 4*j. Let i = 13 + q. What is the units digit of i?
2
Suppose 6*a = 2*a + 44. Suppose -3*c + a*c - 72 = 0. Let h(t) = t**2 + 4*t - 5. What is the tens digit of h(c)?
1
Let a = 441 - 237. Suppose 2*t + a = -3*s, 177 = -3*s - 4*t - 33. What is the units digit of (-9)/2*176/s?
2
Suppose -4*l - 145134 = -3*x, -544*l = x - 543*l - 48371. What is the ten thousands digit of x?
4
Let o be (3 - (-41)/(-13)) + 28/13. What is the tens digit of 267/((38 + -32)*o/40)?
9
Suppose 0 = -33*b + 43*b - 40. Let n(k) = 39*k**2 + 4*k - 8. What is the tens digit of n(b)?
3
Suppose 845*q - 1033852 + 239422 = 800*q. What is the units digit of q?
4
Let u = -33 - -37. Suppose j = -3*i + 54 + 13, -4*j + 76 = u*i. Let o = i - 7. What is the units digit of o?
7
Let s(a) = -5*a - 115. Let i be s(-23). What is the tens digit of i - 2/((-2)/89)*2?
7
Let b = 10121 - -27475. What is the ten thousands digit of b?
3
Let a = -208 - -223. What is the hundreds digit of 5/1 - 5/a*-543?
1
Let j(o) = -o**2 + 15*o - 26. Let f be j(13). Suppose 13*v = m + 12*v - 512, f = -2*v + 8. What is the hundreds digit of m?
5
Let t(c) = 3*c - 2*c + 46*c**3 + 344*c**2 - 1 - 124*c**3 - 342*c**2. Let j be t(-1). Let k = -7 + j. What is the tens digit of k?
7
Let t(y) = 47*y - 34. Let q be t(6). Suppose -9*m + q = -994. What is the hundreds digit of m?
1
Let j(w) = -2*w**3 - 7*w**2 + 4*w - 10. Let c be j(-7). Suppose -2*t = -c - 201. What is the units digit of t?
3
Suppose -37*m - 7636 = -39*m + 4*i, -15263 = -4*m - i. What is the units digit of m?
6
Suppose 1570 = -3*y + 5*y. Suppose 0 = 7*q - y - 202. What is the hundreds digit of q?
1
What is the units digit of 7/(-315)*9 - (-97291)/5?
8
Suppose 6 = -22*i + 16*i. Let u(g) = 279*g**2 - 4*g - 4. What is the hundreds digit of u(i)?
2
Let h(t) = -2*t**3 - 8*t**2 + 2*t - 10. Let f = 187 - 195. What is the hundreds digit of h(f)?
4
What is the units digit of 1655 - -21*(-10)/15?
1
Let r(z) = -51*z**2 + 7*z + 53. Let s be r(-6). What is the tens digit of 0 + s/50*-2*1?
7
Let b(x) = -209*x**3 + 2*x**2 + 2*x + 3. Let k be b(-3). Suppose 0 = -8*w + 2*w + k. What is the units digit of w?
3
Let d = -15696 - -22155. What is the hundreds digit of d?
4
Suppose 1660909 + 788894 = 51*z + 573156. What is the ten thousands digit of z?
3
Suppose 10*m - 306580 - 36030 = 0. Suppose 63*x - m = 5744. What is the hundreds digit of x?
6
Let g(d) be the second derivative of -1/6*d**3 + 4*d - 1/20*d**5 + 9/2*d**2 + 0 - 2/3*d**4. What is the tens digit of g(-9)?
9
Let c(z) = z + 2. Let d be c(9). Let l(w) = 17 + 3 + 19 + 0*w - 68 + 9*w. What is the tens digit of l(d)?
7
Let t(p) = 1 - 3*p**2 + p + p**2 + 20*p**3 + p**2. Suppose q + 45 - 38 = 4*x, 4*q + 3*x - 10 = 0. What is the tens digit of t(q)?
2
Let j(b) = 2*b**3 + 3*b**2 - 11. Let a be j(-3). What is the units digit of 181240/190 - 4/a?
4
Let o(v) = 2*v**3 - 14*v**2 + 20*v + 7. Let r be o(9). Suppose 2*h - 377 = -0*y - 3*y, 4*y - r = -h. What is the units digit of y?
9
Let h(f) = 5*f - 1. Let b(u) be the third derivative of u**4 - 2*u**3/3 + 31*u**2. Let q(v) = -3*b(v) + 14*h(v). What is the units digit of q(-6)?
0
Let g(q) = 6*q**2 + 4*q + 1. Let j(i) = 3*i**2 + i - 4. Let p be j(-2). Let n be (13/26)/(1/p). What is the units digit of g(n)?
7
Let a = 2295 + -97. Suppose -4*i + 406 = -a. What is the units digit of i?
1
Let l(a) = 5*a**3 - 24*a**2 + 24*a - 8. What is the thousands digit of l(10)?
2
Let j(h) = h**3 - 4*h**2 - h - 12. Let o be j(5). Let y(k) be the second derivative of k**4/12 - 2*k**3/3 + 8*k**2 + 31*k. What is the tens digit of y(o)?
4
Let a = -10365 + 16310. What is the thousands digit of a?
5
Let h(q) be the third derivative of -7*q**4/24 - 13*q**3/6 + 12*q**2. Let f = -32 - -16. What is the units digit of h(f)?
9
Let k(r) be the second derivative of r**5/20 + 25*r**4/12 + 37*r**3/3 - 7*r**2 - 11*r - 2. What is the tens digit of k(-15)?
2
Let h be -1 + -1 + 6 + 6. Let s(x) = 42*x + 9. What is the units digit of s(h)?
9
Let b(n) = 1464*n**2 - 31*n - 13. What is the tens digit of b(3)?
7
Let x be ((-2)/(-6))/(((-4)/(-1272))/1). Let c = 201 - x. Let s = c + 18. What is the units digit of s?
3
What is the thousands digit of 5205/6*(-129)/(-30) + 2/(-8)?
3
Suppose 2*f - 12 = -f, 4*f = 3*g - 314. Suppose y - 12 = g. Suppose 3*h - y - 103 = 0. What is the units digit of h?
5
Suppose 166 = -5*p + 26. Let z(a) = a**3 + 31*a**2 + 65*a + 2. What is the tens digit of z(p)?
3
What is the hundreds digit of ((-163719)/18 - -4)*(10/(-6) - -1)?
0
Let y(c) = -19*c**2 - 108 + 28*c + 25 - 7261*c**3 + 7262*c**3 + 22*c. What is the hundreds digit of y(19)?
8
Suppose -2*z - 4*l + 1146 = 0, -13*z - 1142 = -15*z - 3*l. What is the units digit of z?
5
Let l = -365 + 368. Suppose 404 = r + t + 52, l*r - 1080 = 3*t. What is the tens digit of r?
5
Let n = 58 + -52. Suppose 13*k - 12*k - n = 0. Suppose 0 = k*i + 6*i - 360. What is the tens digit of i?
3
Suppose 3*u - 2939 = 4*o, -22*u - o = -17*u - 4906. What is the units digit of u?
1
Let a(s) = -2*s - 36. Let f be a(-19). Suppose 0 = -f*i + 1090 - 100. Suppose -6*x - i = -11*x. What is the units digit of x?
9
Suppose -29 = -3*j + 4*z - 3*z, 0 = -j - 4*z - 12. Suppose j*w - 27 = 11*w. What is the tens digit
|
{
"pile_set_name": "DM Mathematics"
}
|
(-22))?
-1
(147/(-28) - 9)*(-4)/3*-1
-19
What is -21 + 36/24*130/(-15)?
-34
What is the value of (27/12)/((-858)/208)?
-6/11
What is the value of ((-162)/126)/(6/28)?
-6
What is the value of 22895/2892 - 1/(-12)?
8
Calculate ((-173)/346 - (-675)/102) + (-4)/34.
6
What is the value of (10/(-44))/(235/(-94))?
1/11
What is (-3725)/100 + 16 + 21?
-1/4
Evaluate (295 - 297)*(-1 + (-3)/(-2)).
-1
(-16 - 4773/(-172)) + -1*14
-9/4
What is (2*2/84)/((-10653)/134 + 79)?
-2/21
What is the value of 21 - 25 - (-14)/(-315)*-3*5?
-10/3
5/(17 + (-6094)/352)
-16
What is the value of -7*(10 + (0 - 12))?
14
Calculate 2/22*(-1056)/(-128).
3/4
(-60 + 62)/((-2)/3*-3)
1
Calculate 30 + -15 + -12 + 75/(-27).
2/9
What is (1 - 2)/(273/195*(-10)/(-12))?
-6/7
(-2)/(-9)*(8/(-2))/8
-1/9
Calculate ((-70)/(-20))/((-1855)/(-20)).
2/53
Calculate (-1309)/4433 - 12/(-52).
-2/31
Calculate 20 + 8 - 21 - 94/14.
2/7
What is the value of ((-34)/(-119) - 8/(-21))*18/12?
1
What is 516 + -511 - ((-177)/11)/(-3)?
-4/11
What is (-36 - (-15456)/432)*(-9)/28?
1/14
What is the value of (15/9 - 3)*(-7 + 4338/612)?
-2/17
What is 14/910*1/(-6)*20?
-2/39
What is the value of -13 - ((-16)/120*-15 - 5)?
-10
What is 5/(-8) - 2934/144?
-21
Calculate (-94)/188*4*5.
-10
What is the value of 22/(22880/656) - 2/15*3?
3/13
Calculate (-20989)/1359 - (-15)/(-27).
-16
((-26)/52)/((-8)/(-18)*-3)
3/8
Calculate (-3)/(-10)*(33/110)/(27/75).
1/4
What is the value of 628 - 618 - (-40)/(-2)?
-10
-7*(-80)/(-70) - (38/(-1) - -1)
29
Calculate (1/20)/((-8)/(-48))*(-180)/135.
-2/5
8/(-10)*(-995)/(-43382)
-2/109
Calculate (68/272)/((1/(-6))/(112/(-21))).
8
Evaluate (-36)/(-192) + 675/5616.
4/13
What is 8/26 + 4/9152*-275?
3/16
(10/24)/((-144)/864)
-5/2
What is ((-99)/(-330))/(-9 + 4 + 18/4)?
-3/5
What is the value of 6/(-7)*-1*(42/48)/1?
3/4
What is the value of -17 + (-97)/(-1940) + 478/40?
-5
Calculate 10/(-8) + (-29977)/3868.
-9
What is -4 + -36*(-10)/45?
4
What is the value of (-9)/54*(-104)/26?
2/3
Evaluate (10 + -5 + (-99)/20)/(24/(-60)).
-1/8
Calculate (-16)/(-4)*(6 - (-11 - -18)).
-4
8 + (-6*26/78)/(4/62)
-23
What is -39 - (-4672)/120 - (-718)/(-30)?
-24
Evaluate (-1)/9 + (-665)/1197.
-2/3
Calculate (100/24750*55)/((-2)/(-66)).
22/3
Calculate ((-792)/216 - -4)/(((-4)/(-87))/(-4)).
-29
(-120)/70 + (-472)/(-1239)
-4/3
Evaluate 8*60/(-432)*(-9 - (-38)/4).
-5/9
Calculate (-36 + 34)*(-145)/(-30)*3.
-29
(3/12)/((-63)/12) - (-6893)/10248
5/8
What is the value of 94/7 + (-56 - (-25 + -17))?
-4/7
((-5)/(-33))/((-50)/(-180))
6/11
What is the value of 37/(555/(-270)) - -2?
-16
Calculate (2/(-3))/(3531/963).
-2/11
What is the value of 1 - (-504)/196*(-7)/3?
-5
What is the value of -879*4/708 + (8 - 3)?
2/59
71/(-710) - 172/(-120)
4/3
Calculate (-14)/120 + (-88)/(-352).
2/15
What is the value of (-270)/(-66) - 740/(-814)?
5
Evaluate -22*245/385 - (1 - 1*-5).
-20
Evaluate 38/3 - (-42 - -55).
-1/3
Calculate (3/9)/((-1)/(-15)) - 66/(-22).
8
(154/21 - (1 - (-10)/(-6)))*-2
-16
What is the value of (209/(-22))/((-4)/16*-2)?
-19
Calculate ((-2)/(-54))/(16/((-1536)/80)).
-2/45
What is -9 - (0 + -1 - -2) - (-3503)/113?
21
Evaluate (-594205)/(-31002)*(8/(-5) + 1).
-23/2
What is the value of (-17493)/(-561) + -14 + -17?
2/11
Calculate (-7313)/923 - 1/13.
-8
What is the value of (24/4 - 9)*-3?
9
What is the value of -31 + 12 - (156/12 + -15)?
-17
What is the value of -25 + ((-255528)/(-396))/26?
-2/11
Evaluate 9254/19830 + 4/(-15).
1/5
Calculate -5*8/60*3/10.
-1/5
What is the value of (-994)/(-852)*((-1 - -2) + 36/(-28))?
-1/3
What is the value of -9 - -27*((5 + -8)/3)/(-1)?
18
What is the value of (-10 + (-546)/(-54))*42/(-2)?
-7/3
What is the value of (-4)/(16/(-3))*10*6/15?
3
What is 4 - -1 - (10 + 14/(-7))?
-3
What is the value of -4*(-9)/(-24)*-2?
3
What is 880/1700 - ((-4)/5)/((-170)/25)?
2/5
((-1)/3 - (-7)/(-42))*0/8
0
What is the value of (8 + -40)*(-33)/88?
12
Calculate -15 - (21 - 22 - 8).
-6
What is (-392)/(-735)*(-15)/(-40)?
1/5
(29 - 24)/(130/494)
19
Evaluate -23 + (146646/5814 - 2) - (-4)/(-38).
2/17
(((-216)/(-28))/(-6))/(54/(-378))
9
-16*10*35/800
-7
What is the value of 1*(((-936)/(-126))/(-26) + 3/35)?
-1/5
Evaluate (-704)/(-5280)*(-7 + 1).
-4/5
What is the value of (-16 - (-25 - -2))*18/(-14)?
-9
What is the value of 702/1716*(-36)/(-243)?
2/33
Evaluate (1/6)/(13/260) - (-64)/(-48).
2
What is the value of (2*42/24 - 2)*(0 - 6)?
-9
Evaluate ((-1160)/(-3248))/(10/12).
3/7
(20 - 23) + ((-4)/(-6))/((-464)/(-2136))
2/29
Evaluate (-1*58/28)/((-179)/(-358)) + 5.
6/7
Evaluate (-2)/16*-2 + (-24)/1056*-473.
11
What is the value of (1 - -4)*((-392)/70)/(-7)?
4
12/(-390)*235/(-94)
1/13
What is ((-6)/(-4))/(112/140 + (-246)/420)?
7
What is 37/(-17) + (10 - (-32)/12*-3)?
-3/17
What is the value of 718/(-24) + (3/396*2761 - 21)?
-30
((-972)/1701)/((-2)/4)
8/7
What is (-425)/(-136) - -3 - (-18)/(-3)?
1/8
((-781)/142)/(26/168 + 12/126)
-22
Evaluate (-1)/(52581/4590 + 14/(-10) - 10).
-18
Calculate (715/77 + -11)/(15/(-14)).
8/5
What is (-1258)/2618 + 4/7?
1/11
What is the value of (8/99 + 0)*(-870)/1160?
-2/33
Evaluate (5 - 1)*10/160*-4.
-1
What is the value of (125/(-500))/(13 + -17 - 82/(-8))?
-1/25
13 - -35*22/(-55)
-1
What is 77/(-1275) + 129/(-6579)?
-2/25
(-42)/63*75/200
-1/4
Calculate 830/(-60) - (-63)/(-54).
-15
What is the value of 2/(44/(-310)) + (-269)/(-2959)?
-14
Evaluate ((-14)/4 - -1)/(-20 - 24500/(-1200)).
-6
What is (5928/(-240) - -2) + 23?
3/10
What is the value of (24/40 - 1)/(5*32/12400)?
-31
(-74)/(-51) + 1864/(-1398)
2/17
(713/(-465) - (-2)/(-15))*3/(-1)
5
Calculate 4*1/(1 + (-1)/5).
5
What is the value of (-13)/((-2860)/(-40)) + (-1 - 101/(-11))?
8
16/28 + ((-106)/210 - (-8)/(-12))
-3/5
((-261)/29)/(5/4*66/55)
-6
What is (-6432)/(-15288) + (-12)/26?
-2/49
Evaluate (-108 + 188)/(5/1).
16
(23 - (-33)/(231/(-98))) + -15
-6
Calculate (-3)/6*4890/18745.
-3/23
Evaluate 3*(4 + 0 - (-638)/(-174)).
1
What is (-24)/285*(-5 - 195/(-36))?
-2/57
100/14 + (-1 + -2)*1800/675
-6/7
Evaluate (5*-3)/(9/20*(-2828)/2121).
25
((5/(-36))/(18/(-54)))/(40/64)
2/3
What is the value of -45 - (-6298)/141 - (-82)/3?
27
What is (8/92 - (-533)/(-2691))*90/(-4)?
5/2
(-13)/(-52) - (-2 - (-11 + 6))
-11/4
What is the value of (2 - 344/154)*11592/(-2484)?
12/11
(940/8)/(-47)*(-28)/(-5)
-14
What is the value of (38 + (-6032)/156)/(3*(-2)/(-4))?
-4/9
What is the value of 147/(-6) + 1765/706?
-22
88*(2052/144 + -14)
22
What is (843/(-562))/(6/(-52))?
13
Calculate (-3)/(-1)*(-2)/9 + -148 + 150.
4/3
Evaluate 5 - (2 + 18/(-6)).
6
((-52)/(832/(-48)))/(-1*6)
-1/2
Calculate -10 + (585/26 - 12).
1/2
Evaluate 9 + 240/(-25) - (-796)/1260.
2/63
(-7)/((-1131)/58 + 14)
14/11
Calculate (-1 - (-9)/6)/(52/(-1040)).
-10
What is 4/(17 + (-9 - 5))?
4/3
-125 - -129 - (6 + -1)
-1
(-3818)/78 - (-105 - -56)
2/39
What is the value of (-2047)/(-644) - (-576)/(-168)?
-1/4
What is (-3)/22*(11 + -4)/(105/30)?
-3/11
Calculate -7 + (-63)/(-12) + 130/52.
3/4
Calculate -8 - (-3 + 3 + -6).
-2
What is 11 + ((-15)/15)/(21/245)?
-2/3
Calculate (2 + 6)*99/(-72).
-11
Evaluate (-2)/(116/12 - 9) - -10.
7
What is 23/(-11) + (-200)/220?
-3
Evaluate ((-255)/150)/(8/40).
-17/2
(0/1)/(-26 + 1 + 26)
0
Calculate (-1)/(-27)*(3 + 11 - (-14)/(-7)).
4/9
Evaluate (-417)/42 + 3 - (2500/(-280) + 9).
-7
Evaluate -1 + (-12)/2 - (-67584)/8192.
5/4
Evaluate 19/((-399)/180) - (-70 - -60).
10/7
(-1*((-672)/(-36) + -19))/((-57)/27)
-3/19
Evaluate 7552/288 + 208/(-8).
2/9
What is the value of 18/(-4)*21/(-9)*172/(-301)?
-6
What is (275 - 274)/(3*(4 - 1))?
1/9
5/(100/(-276))*(1040/(-48))/13
23
Calculate -2 + 2 - (166*2/(-44) + 7).
6/11
(9/99 - 10) + (-3 - -14)
12/11
What is (((-39)/(-182))/(12/(-14)))/(39/72)?
-6/13
Calculate (3372/240 - 4/80)*(-4)/(-40).
7/5
Calculate (-4)/(-3)*((-10)/25 + (-1972)/170).
-16
What is 1980/(-108)*(4/(-40) + 10/(-20))?
11
What is the value of ((-25)/(-1 - 4) - -1) + 85/(-17)?
1
(5/(-20) - (-19)/68)*-6
-3/17
Evaluate ((-174)/(-21) - 6)/(22/7 - 3).
16
What is (-3 - (-595)/(-34)) + 22?
3/2
Evaluate (9/(-5))/((650/520)/((-25)/(-6))).
-6
Evaluate (2 - 1)/(7310/860).
2/17
Evaluate ((150/(-10) + 16)/((-1)/(-3)))/1.
3
(856/42)/(-4) + ((-26486)/(-714) - 37)
-5
What is 3*(-539)/132 - -14?
7/4
Calculate (-2)/15 + (-91)/(-117)*18/105.
0
What is (-40)/256*58 - -9?
-1/16
What is 305 + -272 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
27720*a - 49059 for a.
-79
Solve -6 + 48 + 174 = -51*i - 192 for i.
-8
Solve 907*o + 2765 = 1704*o - 889*o - 547 for o.
-36
Solve -2429 = -473*d + 3321 - 3 + 875 for d.
14
Solve -45805 = 2189*w + 26432 for w.
-33
Solve -16327*z = -16314*z + 728 for z.
-56
Solve 116105*r + 270 = 116195*r for r.
3
Solve -636*w - 681*w - 662*w = -2089*w + 6600 for w.
60
Solve 146491 - 155031 = -305*p for p.
28
Solve 632*f = 216*f - 170*f - 49224 for f.
-84
Solve 381*d - 28*d + 297*d = 3*d + 27821 for d.
43
Solve -467373 - 563035 = -13558*k for k.
76
Solve -3106*p + 5500*p - 3022*p = 37052 for p.
-59
Solve -106*n - 1704*n - 7740 - 15230 = 13230 for n.
-20
Solve 342*l - 658*l + 350*l + 1156 = 0 for l.
-34
Solve -396*v - 387*v = 387*v - 1220*v + 5100 for v.
102
Solve 16846 = 3138*k + 139228 for k.
-39
Solve 688294*m = 688304*m - 680 for m.
68
Solve 3654326*x - 3654307*x + 310 = -1058 for x.
-72
Solve -17293 + 294 - 46510 - 17503 = 942*q for q.
-86
Solve 114962 + 49371 = -1711*r - 3266*r + 39908 for r.
-25
Solve -200*g = 934*g - 38*g + 10922 + 1134 for g.
-11
Solve -19486 = 204*q - 5410 for q.
-69
Solve -22383 = -1333*u + 4277 for u.
20
Solve -5*w = -58*w + 14*w + 1365 for w.
35
Solve -6683 = 2034*z + 5521 for z.
-6
Solve 4381*o + 149268 = 19258*o - 579705 for o.
49
Solve -773*r = 433*r - 712*r + 2964 for r.
-6
Solve 0 = 2476*u + 66558 + 166368 + 7246 for u.
-97
Solve -4*f + 176 = -13*f + f - 80 for f.
-32
Solve -8583 + 1033 + 14731 = -237*m - 19837 for m.
-114
Solve -1064*i + 5767 = -71*i - 21044 for i.
27
Solve -250*g - 212*g = -561*g for g.
0
Solve -3732*z + 81698 = 189349 + 123733 for z.
-62
Solve -7*l - 126263 = -126585 for l.
46
Solve -311*b - 160*b = -1135 + 35518 for b.
-73
Solve -93*w + 5661 = 534 - 453 for w.
60
Solve -496*j - 50192 + 9172 - 9278 = 110*j for j.
-83
Solve -3306 = -2459*d + 2345*d for d.
29
Solve -11*d - 2613 = -64*d - 14*d for d.
39
Solve 977363*j = 977232*j - 16375 for j.
-125
Solve -1090954*g + 1090972*g = 1080 for g.
60
Solve 30*h - 199 + 971 + 818 = 0 for h.
-53
Solve 6051*o - 10325 = 6346*o for o.
-35
Solve 349*b - 5*b = 90*b - 9652 for b.
-38
Solve -195 + 2945 = -275*o for o.
-10
Solve 0 = 614240*d - 614274*d - 646 for d.
-19
Solve 1155*g - 2097*g = -106446 for g.
113
Solve 39825 = -2025*y + 1494*y for y.
-75
Solve 2076 = -109*u - 2151 + 1403 - 337 for u.
-29
Solve 22*n - 13*n + 46*n + 13965 - 13745 = 0 for n.
-4
Solve 8957 = -3478110*o + 3478799*o for o.
13
Solve 445*k + 231*k + 2292 = 806*k - 321*k for k.
-12
Solve 2294*d - 5756 = 28969 + 27213 for d.
27
Solve -1400 = -13596*m + 13571*m for m.
56
Solve 0 = 82566*h - 82085*h - 14911 for h.
31
Solve 0 = -63*o + 355*o - 7592 for o.
26
Solve 19*i + 95*i - 436 = -94 for i.
3
Solve -225*j - 11542 = 474*j - 12988 + 30804 for j.
-42
Solve -152640 = 1917*g - 327*g for g.
-96
Solve 12714*h + 939522 = 5013*h for h.
-122
Solve -610*m = -311*m + 14352 for m.
-48
Solve 71*y = 135*y - 80*y - 1024 for y.
-64
Solve 423*g + 400*g - 14814 = 0 for g.
18
Solve -155*x - 1105*x = -97*x + 75595 for x.
-65
Solve -235707 + 237947 = -320*i for i.
-7
Solve -27953 = -1631*r + 1229*r + 20287 for r.
120
Solve 4405*h + 5307*h - 669274 + 292636 = 516866 for h.
92
Solve -135*b + 11144 = 130*b - 464*b for b.
-56
Solve 29*b - 369 - 2501 - 822 = -23*b for b.
71
Solve -88*z - 2337 + 6540 + 2397 = 32*z for z.
55
Solve 410*t = -22461 + 13441 for t.
-22
Solve 26*v - 730 = 342 - 133 - 3 for v.
36
Solve -25*z - 540*z - 7583 = -15493 for z.
14
Solve -33*z - 5135 = 45*z - 1001 for z.
-53
Solve 1066*t - 378*t = 30960 for t.
45
Solve 30323 - 30610 = 7*y for y.
-41
Solve -552*j - 10462 = -22606 for j.
22
Solve 504401 = -190*k + 523021 for k.
98
Solve -6415*g - 2559 + 3868 - 52109 = 51840 for g.
-16
Solve -1199*v + 590*v - 636 = -510*v - 8061 for v.
75
Solve 105516 - 47251 = 787*h - 40110 for h.
125
Solve 471*r + 13761 = 2457 for r.
-24
Solve -23*o + 173*o + 141*o + 6402 = 0 for o.
-22
Solve -4979864 + 4978709 = 55*f for f.
-21
Solve 0 = 1904820*t - 1904872*t for t.
0
Solve -1102 = 362*d - 346*d - 334 for d.
-48
Solve -202*p = 1085*p + 4602 - 14898 for p.
8
Solve -262*n + 123*n + 1392 = -168*n for n.
-48
Solve 4505 = -781*g + 47460 for g.
55
Solve 52*q + 2257540 - 2255928 = 0 for q.
-31
Solve 210*a + 243*a = 117*a - 5555 + 515 for a.
-15
Solve 17*w + 73*w = -151*w + 99*w + 2982 for w.
21
Solve 1671*o = -422*o - 60697 for o.
-29
Solve 1385 + 1915 = -333*k + 421*k + 924 for k.
27
Solve -2*t = 2*t + 21 + 22 + 77 for t.
-30
Solve -151*r + 212 = -3865 for r.
27
Solve -2016 = 28*k + 21*k + 7*k for k.
-36
Solve -584*q + 11340 + 2479 = -70*q - 3657 for q.
34
Solve -2701*j = 393*j - 250614 for j.
81
Solve -2698*c + 612*c + 4529 + 37251 = -135530 for c.
85
Solve -6631*n - 6654*n + 13306*n - 840 = 0 for n.
40
Solve 0 = -3759*h + 3805*h - 1152 - 1148 for h.
50
Solve -956*u + 193 = -1001*u + 13 for u.
-4
Solve 23223 - 20411 = -148*w for w.
-19
Solve 2159 = -119*x - 1508 - 379 for x.
-34
Solve 33583874 = -159*g + 33592142 for g.
52
Solve -40082 - 3478 = -1210*i for i.
36
Solve 3023 + 4862 = 360*j - 12275 for j.
56
Solve 18*u - 1110*u + 39069 = -10574 - 3865 for u.
49
Solve 59691 = -1028*p - 949*p - 72768 for p.
-67
Solve 1694*s - 9423 = 2043*s for s.
-27
Solve 0 = 1951*u - 1322*u + 271 + 358 for u.
-1
Solve -15399 = 321*k + 422*k - 920*k for k.
87
Solve -945*s - 606*s - 51558 = -229*s for s.
-39
Solve 381*q = -1949 + 12137 + 6957 for q.
45
Solve 147*s - 234*s = 2731*s + 81722 for s.
-29
Solve 0 = 183*r + 494*r - 351*r + 1014*r + 124620 for r.
-93
Solve 250*g + 14121 + 6634 - 3817 = 688 for g.
-65
Solve 7*c - 657 = -26*c - 63 for c.
18
Solve 51677 = 614*g + 57817 for g.
-10
Solve 2290*v - 68230 = 5050 for v.
32
Solve 0 = 3099*s - 50986 + 187342 for s.
-44
Solve 0 = 183702*o - 183740*o + 114 for o.
3
Solve 827 + 16 + 1149 = -139*y - 2595 for y.
-33
Solve 96276 = -2673*i - 42720 for i.
-52
Solve 382*x - 284*x - 134*x = 165*x - 24120 for x.
120
Solve 99*d + 20*d = -489*d + 26752 for d.
44
Solve -46*l + 316*l - 6671 - 1659 = 5710 for l.
52
Solve -3*n + 2*n - 1120 = 10*n - 559 for n.
-51
Solve -557*t + 138022 + 212874 = -1178*t - 2512*t for t.
-112
Solve 1070*c - 2645*c - 62595 = -990*c for c.
-107
Solve 405*f + 220 = -887 - 1185 - 138 for f.
-6
Solve 0 = 1778*v + 3673*v - 201687 for v.
37
Solve -7*d + 7252 = -369*d - 6142 for d.
-37
Solve 0 = -7*l - 654437 + 654717 for l.
40
Solve 32*s + 15*s + 82*s = 64*s - 7085 for s.
-109
Solve -407*k + 65512 = -492*k + 752*k + 1057*k for k.
38
Solve 373*v - 1939*v - 301392 = 1746*v for v.
-91
Solve 279*n - 6856 = -127*n + 2888 for n.
24
Solve -8796 - 11558 = 353*x + 12828 for x.
-94
Solve -145*k + 286*k - 282 = 0 for k.
2
Solve -945*n + 180342 = -1198*n - 2955*n - 204618 for n.
-120
Solve 135*p + 881 - 126 = -1675 for p.
-18
Solve -3873 = -124*w + 538 + 2409 for w.
55
Solve -1200 - 7876 = 99*i + 31*i + 544 for i.
-74
Solve 33181987 - 33181984 = -3*g for g.
-1
Solve -1014*u = -1211*u + 25807 for u.
131
Solve 7309 = 406*r - 20299 for r.
68
Solve -181*q + 294141 = 148128 + 128637 for q.
96
Solve -53*h + 152*h + 4475 - 12327 = -52*h for h.
52
Solve -3499*r = -1822*r - 1850*r - 13148 for r.
-76
Solve -92*b - 74*b - 103*b - 10812 = -65*b for b.
-53
Solve -13*l + 41*l + 2814 = 7*l - 46*l for l.
-42
Solve -2*t + 0*t - 25 = 113 - 62 for t.
-38
Solve 37*s - 163311 = 286*s - 158082 for s.
-21
Solve -1139430*m + 1139478*m + 96 = 0 for m.
-2
Solve 44*y - 17*y = 20*y - 25*y + 64 for y.
2
Solve -1092164*r = -1092373*r - 4180 for r.
-20
Solve 2631*f = -89313 + 46698 - 54732 for f.
-37
Solve 0 = 63*r - 853*r + 96380 for r.
122
Solve 5480*x - 5424*x - 2184 = 0 for x.
39
Solve 13*n - 257*n - 8776 = 219*n - 32389 for n.
51
Solve -66572 = -1823*s - 135*s for s.
34
Solve 117*k + 23333 - 4423 = 422*k for k.
62
Solve -60*w + 108*w = -8*w + 2576 for w.
46
Solve -899220*p + 898842*p = 46116 for p.
-122
Solve 9*f + 39 = -31*f + 102 + 257 for f.
8
Solve -68*d - 565*d - 57624 = -14580 for d.
-68
Solve 760*t - 38006 = 121*t + 4807 for t.
67
Solve 48*f - 206*f + 5376 = -108*f + 206*f for f.
21
Solve -845 + 1108 = 4*t + 22*t - 1219 for t.
57
Solve -77*d + 8081 = 6772 for d.
17
Solve -34*y + 4413 = 7881 for y.
-102
Solve -15186198*j = -15185994*j + 23052 for j.
-113
Solve 0 = -3487*d + 24602 - 136186 for d.
-32
Solve 281*j + 606 + 200 = 307
|
{
"pile_set_name": "DM Mathematics"
}
|
ine p(v(j)).
-72048*j**2
Let y(l) = l**2. Let w(p) be the third derivative of -7*p**6/180 + 13*p**3/6 - 11*p**2. Let k(j) be the first derivative of w(j). Give y(k(a)).
196*a**4
Let k(q) = -q**2. Let h(n) be the second derivative of -9*n + 0 + 10/3*n**3 + 0*n**2. What is h(k(a))?
-20*a**2
Let m(l) = -29414*l**2 - 2*l. Let q(p) = -5*p. Give m(q(k)).
-735350*k**2 + 10*k
Let q(v) = 180*v**2 - 88*v**2 - 376*v**2. Let z(c) = 3*c. What is q(z(m))?
-2556*m**2
Let w(g) = -6*g**2. Let r(t) = -352395*t**2. Calculate w(r(b)).
-745093416150*b**4
Let g(q) = 265171*q. Let h(u) = -2*u. Calculate h(g(f)).
-530342*f
Let r(i) = 8*i**2 - 19*i**2 + 6*i**2. Let y(x) = 4*x**2 + 9. Let h(f) = -f**2 - 2. Let j(t) = 9*h(t) + 2*y(t). What is j(r(u))?
-25*u**4
Let w(s) = -32*s**2. Let z(t) be the second derivative of -t**7/2520 + 5*t**4/12 + 3*t. Let b(c) be the third derivative of z(c). What is b(w(l))?
-1024*l**4
Let w(q) = 22460 + 9*q - 22460. Let y(j) = -5*j - 2. Let i(s) = 6*s + 3. Let g(t) = -2*i(t) - 3*y(t). Give w(g(b)).
27*b
Let u(m) = -14*m. Let h(w) = -w**2 + 12*w - 139. What is u(h(o))?
14*o**2 - 168*o + 1946
Let j(u) = 2*u**2. Let v = 28 - 10. Suppose 5*p = v + 22. Let x(h) = -3*h + p*h + 2*h. Calculate j(x(w)).
98*w**2
Let d(p) = -3*p**2. Let g(s) = 4*s**2 + 4*s - 1. Let j(w) = -3*w**2 - 3*w + 1. Let a(z) = -3*g(z) - 3*j(z). Give d(a(r)).
-27*r**4 - 54*r**3 - 27*r**2
Let i(u) = 169231*u. Let d(x) = 10*x**2. Give i(d(t)).
1692310*t**2
Let m(q) = -q. Let w(k) = 19*k. Let d(o) = -4*m(o) - 2*w(o). Let v(n) = -6*n + 7*n + 10*n. Let s(z) = -2*d(z) - 7*v(z). Let p(j) = 2*j. What is p(s(g))?
-18*g
Let g(h) = 13*h - 7. Let p(r) = -11*r + 6. Let a(y) = -6*g(y) - 7*p(y). Let t(b) = -b - 94. Calculate a(t(l)).
l + 94
Let k(w) = 3257*w. Let r(t) = -5*t**2 - 4*t. Determine r(k(h)).
-53040245*h**2 - 13028*h
Let a(l) = 5*l**2. Let x(b) be the first derivative of -1 - 3*b**2 + 0*b**3 + 0*b + 1/24*b**4. Let p(f) be the second derivative of x(f). Calculate p(a(n)).
5*n**2
Let r(j) = -3 + 2*j - 1 - 7*j. Let d(c) = -14*c - 11. Suppose 83 = 2*y + 91. Let h(m) = y*d(m) + 11*r(m). Let l(x) = 5*x**2. Determine h(l(w)).
5*w**2
Let h(n) = -5*n. Let d(q) = q - 1. Let x be d(6). Suppose 4*b + 3*p = 10, -3*b - x*p = 2*b - 10. Let g(o) = 4*o - b + o + 4. Give g(h(i)).
-25*i
Let h(v) = -2 + 4*v - 13*v + 7. Let f(c) = -45*c + 24. Let j(z) = 5*f(z) - 24*h(z). Let m(b) = 2*b. Give m(j(x)).
-18*x
Let z(t) = t**3 - t - 1. Let a(y) = 18*y + 2. Let x(g) = a(g) + 2*z(g). Let k(f) be the second derivative of x(f). Let l(u) = -3*u. Determine l(k(j)).
-36*j
Let v(r) = -2*r**2. Let x(w) = -109*w - 110*w + 219*w + 4*w**2. What is v(x(g))?
-32*g**4
Let g(f) = -22 + 13 + 9 - 76*f**2. Let c(r) be the second derivative of -r**3/6 - 87*r. Give g(c(t)).
-76*t**2
Let t(c) = 2*c - 5218. Let s(f) = -3*f**2. Calculate t(s(j)).
-6*j**2 - 5218
Let k(z) = 11*z - 6. Let q(j) = 143*j - 77. Let b(o) = -77*k(o) + 6*q(o). Let n(i) = 45*i**2 + 49*i**2 - 95*i**2. Give n(b(m)).
-121*m**2
Let h(b) = -2*b**2. Let c(v) = 15*v - 2. Let t = -41 + 38. Let f(u) = 15*u - 3. Let i(a) = t*c(a) + 2*f(a). Calculate i(h(l)).
30*l**2
Let u(a) be the second derivative of a**3/6 - 2*a - 2. Let n(p) = -81*p**2. Give n(u(d)).
-81*d**2
Let j(f) be the first derivative of f**2/2 + 2. Suppose 3*y + 3*g - 569 = 5*g, -5*g + 201 = y. Let z(q) = -191 - 3*q + y. Give z(j(s)).
-3*s
Let a(n) = -3*n - 3 - 4 + 7. Let k(y) be the first derivative of -y**3 - 16. Give a(k(b)).
9*b**2
Let m(c) be the first derivative of -7*c**3/6 - c + 3. Let o(j) be the first derivative of m(j). Let f(g) = 2*g. What is f(o(p))?
-14*p
Let z(w) = -7*w**2. Let i = -36 + 39. Let t(d) = -d**2 - i*d**2 + 216 - 216. Determine t(z(f)).
-196*f**4
Let p(q) = -11*q + 1. Let x(j) = -4*j + 1. Let i(m) = -9*m + 2. Let o(k) = 5*i(k) - 10*x(k). Calculate o(p(z)).
55*z - 5
Suppose -15*b + 48 = -11*b. Let h(n) = 22 + n - 10 - b. Let w(t) = -3*t. Let j(a) = 4*a. Let i(o) = -3*j(o) - 3*w(o). Calculate i(h(y)).
-3*y
Let j(l) = 20920*l. Let o(v) = 18*v. Calculate o(j(u)).
376560*u
Let j(w) = -2*w**2. Let r(q) = -16*q - 7*q - 10*q + 9*q. What is j(r(c))?
-1152*c**2
Let p(m) = 129019*m - 64509*m - 64511*m. Let y(u) be the first derivative of -6*u**3 + 1. What is p(y(o))?
18*o**2
Let q(d) = 7*d. Suppose 22*h - 21*h - 4 = 0. Suppose -h*n + 2 = -6. Let g(f) = 21 + f**n - 21 + f**2. Give g(q(c)).
98*c**2
Let a(s) = -2*s**2. Let u = -266 - -266. Let i(f) be the third derivative of f**2 + 0*f**3 + 1/60*f**5 + 0*f + u*f**4 + 0. Determine i(a(b)).
4*b**4
Let t(l) = 13*l**2. Let f(i) be the third derivative of 5*i**5/12 - 88*i**2. What is t(f(w))?
8125*w**4
Let c(a) = -5*a. Let z(v) = -70725*v**2. Calculate z(c(p)).
-1768125*p**2
Let a(f) = f. Let l(s) = 1451*s + 55. Let t(b) = 60216*b + 2288. Let v(p) = 208*l(p) - 5*t(p). Calculate a(v(h)).
728*h
Let u(n) = 6*n. Let y(o) = 3936*o + o**2 - 3936*o. Calculate y(u(b)).
36*b**2
Let n(j) be the first derivative of -3 + 0*j - 7/3*j**3 + 0*j**2. Let g(f) = -13*f - 6*f + 16*f. Give g(n(p)).
21*p**2
Let w(m) = 85*m. Let i(a) = 11*a + 3*a + 9*a + 12*a - 36*a. Give w(i(r)).
-85*r
Let y(n) = 89*n. Let l(b) = 28*b**2 + 4*b. Give y(l(j)).
2492*j**2 + 356*j
Let a(m) = -2*m**2. Let f(h) be the second derivative of -4*h**3/3 - h**2/2 + 244*h. Determine a(f(g)).
-128*g**2 - 32*g - 2
Let u(o) = o. Let h(a) = 4*a**2 - 4*a. Let d(k) = -4*k**2 + 5*k. Let t(i) = -3*d(i) - 4*h(i). What is u(t(r))?
-4*r**2 + r
Let o(j) = -j**2. Let m(l) be the third derivative of -1/60*l**5 + 0*l**4 - 14*l**2 + 0*l + 0 + 1/6*l**3. Give o(m(p)).
-p**4 + 2*p**2 - 1
Let h(z) = -z - 3. Let w(x) be the second derivative of -x**4/6 + 486*x. Determine w(h(b)).
-2*b**2 - 12*b - 18
Let b(a) be the second derivative of -a**5/12 - a**2/2 + 4*a. Let t(v) be the first derivative of b(v). Let i(p) = p**2. Give i(t(m)).
25*m**4
Let v(u) = -2*u**2. Suppose 11*c - 8 = 7*c. Let h(j) be the first derivative of -3*j**c + 4 + 2 + 4*j**2. Give h(v(n)).
-4*n**2
Let m(d) = -3*d + 1. Let k(t) = 12*t + 4. Let j(i) = -2*k(i) + 8*m(i). Let b(n) = -2*n**2. Determine b(j(r)).
-4608*r**2
Let t(o) = 2*o**2. Let i(m) = 229*m - 453*m + 221*m + 10. What is t(i(f))?
18*f**2 - 120*f + 200
Let q be 9 + -5 - (7 - 1). Let c(s) = -s**2 - s - 1. Let j(b) = 10*b**2 + 11*b + 11. Let k(a) = q*j(a) - 22*c(a). Let d(x) = -5*x**2. Give d(k(o)).
-20*o**4
Let c(r) = -r + 257. Let l(x) = -4*x**2 + 7. Calculate l(c(w)).
-4*w**2 + 2056*w - 264189
Let a(m) = m. Let v(b) = b**2 + 10*b + 18. Let q be v(-7). Let y(i) = 37*i. Let n(h) = 3663*h. Let x(o) = q*n(o) + 296*y(o). Determine a(x(w)).
-37*w
Let u(z) = 4*z**2 - 12*z. Let b(y) = -4*y. Let m(n) = 3*b(n) - u(n). Let q(p) = -p**2 - 33*p. Give m(q(a)).
-4*a**4 - 264*a**3 - 4356*a**2
Let y(x) = -5*x**2 - 13*x**2 - 6*x**2 + 54*x**2 - 16*x**2. Let t(k) = -k**2. Give y(t(z)).
14*z**4
Let f = -157 + 163. Let y(v) = 8*v - 9*v + f*v. Let t(s) = -6*s. Determine y(t(m)).
-30*m
Let k(b) = -b**3 + 4*b**2 - 2*b + 4. Let c be k(4). Let r be c/(24/9)*-2. Let u(n) = n - 4*n + r*n - 2*n. Let f(a) = a**2. Calculate u(f(s)).
-2*s**2
Let x(f) = -10*f**2. Let s(t) = 2*t**2 + 3144. Calculate s(x(n)).
200*n**4 + 3144
Let d(f) = 596*f**2. Let t(i) = -8*i**2 + 1. What is d(t(s))?
38144*s**4 - 9536*s**2 + 596
Let p(o) be the third derivative of o**5/60 - o**2. Let i = -6 + 12. Let c(y) = 2*y + i*y - 2*y - 4*y. Give c(p(u)).
2*u**2
Let b(z) = -z - 296. Let h(q) = -91*q**2. Give b(h(r)).
91*r**2 - 296
Let q(x) be the third derivative of -x**4/6 + x**2 + 619. Let y(u) = 67*u**2. Give y(q(m)).
1072*m**2
Let w(k) = k**2. Let n(l) = 206*l + 75. Determine n(w(i)).
206*i**2 + 75
Let l(b) be the second derivative of -b**3/3 - b. Suppose 0 = -0*y - 8*y + 16. Let w(v) = 42*v**2 - 8*v**y - 7*v**2. What is w(l(c))?
108*c**2
Let n(j) = -j**2. Let f(s) be the first derivative of 4*s**3/3 + 15*s + 8. What is n(f(b))?
-16*b**4 - 120*b**2 - 225
Let k(f) = 3804 - 3804 + 5*f**2. Let s(r) = 33*r. What is k(s(a))?
5445*a**2
Suppose 2*m - 3*l = 0, 0 = -2*m - 3*m - 4*l - 23. Let f be m*(-3 + 7/3). Let b(h) = 21*h - 21*h + h**f. Let t(x) = -3*x**2. What is b(t(v))?
9*v**4
Let q(u) = -4*u. Suppose -11 = -2*r + 9. Let z(c) = -c + r*c + 3*c - c. Let p(b) = -17*q(b) - 6*z(b). Let m(i) = -i**2. Give m(p(v)).
-4*v**2
Let w(o) = -11656*o. Let q(t) =
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 7*x + 0*x**2 + 3*x**2. Determine r(4).
3
Let c(o) = -2*o - 14. Let t(u) = -3*u - 22. Let l(d) = -8*c(d) + 5*t(d). Determine l(-5).
-3
Let c be (-1 - (-1 + 2)) + 3. Let o(v) = -v**2 - 6*v + 7. Let i be o(-7). Let g(d) = 1 - 6*d + 3 - 3 + i. Calculate g(c).
-5
Let d(o) = -o**2 + 15*o - 21. Let k(p) = 2*p**2 - 52*p + 14. Let w be k(26). Calculate d(w).
-7
Let l(g) be the second derivative of 1/20*g**5 - 2*g + 5/6*g**3 + 3/2*g**2 + 1/4*g**4 + 0. What is l(-3)?
-12
Let f(g) = 7*g**2 + 30*g + 6. Let n(c) = -29*c**2 - 127*c - 26. Let d(t) = 17*f(t) + 4*n(t). Let u = -1 - -3. Let k be 6/u*2/(-3). What is d(k)?
6
Let t(a) = 3. Let n(p) = 5. Let s(v) = 4*n(v) - 7*t(v). Let q(r) = -2*r - 6. Let x(f) = -q(f) + 6*s(f). Give x(-2).
-4
Let u(h) = -131*h**2 + 65*h**2 + 2*h - h**3 + 2*h + 62*h**2 + 4. Determine u(-5).
9
Let d(k) = -6 + 4*k**2 - 12*k + 0*k**2 - 5*k**2 + 17*k. Let u(z) = -z**3 - 11*z**2 - 9*z + 12. Let j be u(-10). Let t be 5*(-6)/(-15) + j. What is d(t)?
-2
Let l(w) = 2*w + 5. Suppose -13 = -2*z - 7. Suppose -z*g - 6 = 6. What is l(g)?
-3
Let s(y) = y**2 + 4*y. Let z(q) = -7*q**2 + 2*q + 1. Suppose -2*u = -f + 2*u + 19, 4*f = 3*u + 11. Let n be z(f). Let k = 5 + n. Give s(k).
-3
Let m(u) = u**3 - 6*u**2 + 6*u - 6. Let y = -26 + 42. Suppose y = h + 3*s, s = 2*h + 2*s - 12. Determine m(h).
-14
Let g(f) = 5*f**2 + f + 1. Let d be g(-1). Let s(x) = -x - 10. Let z(r) = -2*r - 9. Let o = 3 - 5. Let t(w) = o*z(w) + 3*s(w). Determine t(d).
-7
Let z = -1 - -2. Suppose -9 = 5*f + z. Let q(d) = 4*d + 3. Calculate q(f).
-5
Let s(l) = -2*l**3 + 4*l**2 + l + 1. Let b be ((8/1)/(-1))/(12/(-42)). Let m = b - 25. Determine s(m).
-14
Let x(g) = -g**3 - 28*g**2 + 29*g + 4. Let l be x(-29). Let v(z) = z**2 - 4. Determine v(l).
12
Let a(f) be the third derivative of -f**4/6 + f**3/6 - f**2. Suppose 6*h + 121 - 7 = 0. Let u = -17 - h. Determine a(u).
-7
Let k(m) = m + 2. Let s be k(2). Suppose 0 = -2*r + s - 2. Let a be 2 - r/((-1)/(-2)). Let n(z) = -z - 9. Calculate n(a).
-9
Let q(p) = -p + 17. Suppose o - 6*o - 7 = -c, -o = -c + 15. Determine q(c).
0
Let s(z) = z**3 + 5*z**2 + 2*z + 5. Let u(h) = h + 1. Let m be u(-5). Let f be m - -1 - (-4 - -6). Calculate s(f).
-5
Let b(g) be the second derivative of -g**5/20 - g**4/3 - 2*g**3/3 - 3*g**2/2 + 22*g. Give b(-2).
-3
Let f be (-1 + 0)/((-3)/(-24)). Let l(o) be the first derivative of -o**4/4 - 7*o**3/3 + 9*o**2/2 + 10*o + 7. What is l(f)?
2
Suppose 701*n - 697*n - 36 = 0. Let r(u) = -3*u + 8. What is r(n)?
-19
Let x(r) = r**2 - 3*r + 3. Suppose -8*y = -4 - 20. Suppose -y*b - 4 = -10. Give x(b).
1
Let g(t) = t**2 - 6*t + 6. Suppose -4*l = 2*z + 2, 0 = z + 5*l - 0*l + 4. Let k be (z/(-2))/((-7)/98). Calculate g(k).
13
Let f(q) = -2*q. Let m(y) = -7*y - 8. Let t(h) = 3*f(h) - m(h). Determine t(-4).
4
Let g(v) be the second derivative of v**3/6 - 5*v**2/2 - 2*v + 16. What is g(-5)?
-10
Suppose 0*l + 33 = 3*l. Let m(i) = i**2 - 10*i + 7. Let h be m(6). Let u = h + l. Let w(x) = x**3 + 5*x**2 - 6*x - 4. Calculate w(u).
-4
Let p = 205 - 195. Let r(q) = -q**2 + 7*q + 9. Determine r(p).
-21
Let n(y) = -1 + 5*y**2 + 5*y - 4*y**2 - 2*y**2. Let f(l) = 11*l**2 - 22*l + 5. Let b be f(2). What is n(b)?
-1
Let k(z) = z**3 - 3*z**2 - 5*z - 1. Let v be k(4). Let s(a) be the third derivative of -a**5/60 - a**4/4 + a**3/2 + 46*a**2 - 1. What is s(v)?
8
Let r(s) = -24*s**2 + 2*s + 1. Let n(p) = -2*p**2 + 5*p + 2. Let b be n(3). Give r(b).
-25
Let m be 18*6/(-9)*3/(-4). Let c(n) = n - 7. Give c(m).
2
Suppose -2*p = n - 5, 5*n = 5*p - 8 + 3. Let b(a) = -7 + 2 + a + 3 - p. Calculate b(3).
-1
Suppose -3*d = -l + 2*l, 0 = 5*l - 15. Let u be 9/(-2)*(-16)/12. Let h(k) = 1 + u*k - 1. What is h(d)?
-6
Suppose -5*f = -8 - 2. Let b(a) = 6*a + 3*a**f - 4*a**2 + 0*a + 2*a**2 + 3. Let m be ((0 - 2)/2)/(8/40). What is b(m)?
-2
Let w(b) = -b + 17. Let d be w(13). Suppose 0 = -d*s - 4*q - 4, -s + 3 = 2*q + 4. Let z(f) be the third derivative of f**4/24 + f**3/6 - 3*f**2. Calculate z(s).
0
Let q(r) = r + 1. Let b = 8 + -3. Let x(z) = -z**3 + 7*z**2 - 9*z + 5. Let d be x(b). Let k be (-24)/d + 6/15. Give q(k).
-1
Let m be 6/(-12) + 19/2. Let o(a) = a. Calculate o(m).
9
Let a(t) = -2*t**3 + 18*t**2 - 5*t + 19. Let w(j) = 5*j**3 - 54*j**2 + 13*j - 56. Let g(z) = 8*a(z) + 3*w(z). Give g(-18).
2
Let c(q) = -2*q**2 - q + 32. Let s(i) = -i**2 - i + 19. Let r(z) = 3*c(z) - 5*s(z). Give r(-1).
-2
Let x(g) = g**2 - 26 - 12*g - 3 + 58 - 17. What is x(10)?
-8
Let i(a) = -a**2 - 14*a - 14. Let g = 648 - 658. What is i(g)?
26
Suppose 33*r - 12 = 32*r. Suppose r*j + 31 = -17. Let q(v) = -v**2 - 5*v + 2. Give q(j).
6
Let i be 37/7 + (-12)/42. Let n(o) = o**3 - 6*o**2 - 3*o + 7. Calculate n(i).
-33
Let j(g) = -g**3 + 15*g**2 - 24*g + 31. Let l be j(13). Suppose 12*f - 9 = -l. Let o(z) = -4 - 2 - 3*z + z. Give o(f).
2
Let l(t) = 6*t**2 + 8*t + 4. Let u(i) = 5*i**2 + 5*i + 3. Let r(o) = -2*l(o) + 3*u(o). Determine r(3).
25
Let o(v) be the second derivative of -v**5/20 - v**4/4 + 5*v**3/6 + 3*v**2/2 + 33*v + 1. What is o(-3)?
-12
Let s(c) = 5*c**3 + 6*c**2 + c + 12. Let h(b) = 11*b**3 + 12*b**2 + b + 25. Let y(a) = -6*h(a) + 13*s(a). Let u = -138 + 145. What is y(u)?
6
Let p be 1*(1 - 3)*(13 + -14). Let w(y) be the second derivative of 0 + 5*y + 5/12*y**4 + 1/20*y**5 + y**p + 1/3*y**3. Determine w(-5).
-8
Let o(l) = 6*l + 0 - 9*l - l**2 - 1 + 5*l. Let h = 26 - 18. Let r(g) = g**2 - 7*g - 7. Let v be r(h). What is o(v)?
0
Suppose y + 16 = -3*y. Let c(r) be the second derivative of r**3/6 + 5*r**2/2 + 15952*r. What is c(y)?
1
Let v(g) be the third derivative of -g**6/120 + g**5/20 + g**4/12 - g**3/6 + 2*g**2. Let f = -32 - -16. Let t = f - -18. Give v(t).
7
Let z(m) = 1. Let p(q) = q**2 + q + 3. Let l(d) = p(d) - 6*z(d). Let j = -238 - -194. Let r = j - -47. Calculate l(r).
9
Suppose 3*s + 2*j - 33 = 0, -s - 4*s + 2*j = -39. Suppose -2*r + 0*g = 3*g + s, g = -3. Let a(k) = -k - 4. Calculate a(r).
-4
Let d(p) be the second derivative of -p**4/12 + 5*p**3/6 - p**2 + 52*p. What is d(4)?
2
Suppose p + 2*s = 0, 4*p + 17*s = 16*s. Let v(w) = w**3 - 2*w**2 - w + 1. Determine v(p).
1
Let q = 4 + -8. Let o(m) = 3*m**2 - 7*m + m**3 + 18*m - 9*m - 8*m - 2. Calculate o(q).
6
Let c(k) = k**3 - 8*k**2 + 3*k - 20. Let w be (4/10)/((-16)/(-320)). Let j be c(w). Let y(q) = 25*q + q**3 - j*q**2 - q**2 - 24*q + 6. Give y(5).
11
Let y(s) = s**3 + 3*s**2 - 4*s - 2. Let a be y(-4). Let w(p) be the first derivative of -2*p**3/3 - p**2 + 1120. Determine w(a).
-4
Let l(u) = -u**2 + 6*u + 3. Let f = 2 + 7. Let q = f + -3. What is l(q)?
3
Let m(v) = -2*v - 5. Let j be -5 - (-4 - -4)/3. Let b(x) = 3*x + 8. Let w(a) = j*b(a) - 8*m(a). What is w(1)?
1
Let o(g) be the third derivative of g**5/60 - g**4/24 + 101*g**2. Give o(1).
0
Let j be 12/(-20)*2*-5. Let x(l) be the third derivative of l**6/120 - 7*l**5/60 + 5*l**4/24 + 2*l**3/3 - 3*l**2. Determine x(j).
-2
Let v = 10 + -14. Let j = -13 + v. Let x(u) = -14*u**3 + 6*u**2 - 8*u - 1. Let k(o) = 41*o**3 - 17*o**2 + 23*o + 3. Let b(f) = j*x(f) - 6*k(f). Calculate b(-1).
9
Let f(q) = -3*q + 7*q - 5*q + 2*q. Determine f(-2).
-2
Let d(i) = -i - 16. Let k be 1 - (13/(-26) + 46/4). Determine d(k).
-6
Suppose 3*v = 3*t, 4*t - 2 = 2*v + t. Let u(o) be the first derivative of -5*o**2/2 + 2*o - 23. What is u(v)?
-8
Suppose 0 = m, 4*t - 2*m = 3*m + 8. Suppose -2*o = -3*p + 1 + 8, 4*o + 12 = 4*p. Let h(x) = -5*x - p*x + 9*x - 2*x + 1. Calculate h(t).
-1
Let c(a) be the first derivative of a**3/3 - 11*a**2/2 + 29*a + 714. Give c(3).
5
Let m(y) = y**3 + 2*y**2 - 4*y. Let l be (0/(-3) - 0) + 4. Suppose t = -l*i - 277, -5*i + 0*t - 365 = -5*t. Let x be ((-42)/i)/((-1)/5). Calculate m(x).
3
Let q(x) = -x**2 - 2*x + 6. Let a = -35 + 49. Suppose 3*f - v = f - a, f + 21 = 4*v. Determine q(f).
-9
Let x be (-4)/14 - 286/77. Let b(p) = -7*p - 14. Let u(f) = 3*f + 6. Let v(o) = 2*b(o) + 5*u(o). Determine v(x).
-2
Let p(z) = 3*z + 4. Let f(j) = -19*j - 16. Let l(u) = -40*u - 32. Let o(n) = 7*f(n) - 3*l(n). Let h(w) = 2*o(w) + 9*p(w). Determine h(-3).
1
Let c(m) = m - 12. Let u be c(4). Let h(b) = -b**3 - 8*b**2 - 2*b + 5. Calculate h(u).
21
Let x(z) be the third derivative of z**6/120 - z**5/12 - z**4/3 + 5*z**3/6 + 8*z**2. Suppose -11*h = 6 - 72. Determine x(h).
-7
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
*b + 19 + 11 = 0. Let u(k) = -4*k + b*k - 3*k - k. Determine u(s(a)).
-8*a
Let o(r) = -r. Let z(f) = -13*f**2 - f - 992. What is o(z(q))?
13*q**2 + q + 992
Let g(i) = -554 + 554 - 85*i. Let o(r) = 3*r. Give o(g(a)).
-255*a
Let i(j) = -4*j**2. Let a(m) be the second derivative of -m**7/315 + 11*m**4/12 + 24*m. Let p(n) be the third derivative of a(n). What is p(i(d))?
-128*d**4
Let c(a) be the second derivative of 17*a**4/12 - 25*a - 2. Let y(m) = -m. Calculate c(y(j)).
17*j**2
Let x(h) = h**2 + 78*h - 3. Let u(t) = -1. Let i(f) = -3*u(f) + x(f). Let d(y) = y. Determine d(i(c)).
c**2 + 78*c
Let g(u) = 185*u. Let o(k) be the third derivative of k**4/12 + 66*k**2. Calculate o(g(c)).
370*c
Let x(u) = -2 - 3*u + 2. Let j(f) = -f. Let i(b) be the first derivative of 3*b**2/2 + 12. Let q(z) = -2*i(z) - 5*j(z). What is q(x(c))?
3*c
Let n(b) = -4*b. Let x(r) = 2591*r**2. What is n(x(m))?
-10364*m**2
Let x(h) = 13*h**2 + 4. Let f(g) = 12*g**2 + 5. Let n(a) = -4*f(a) + 5*x(a). Let w(j) be the third derivative of j**4/12 + 9*j**2 - 22*j - 1. Give w(n(s)).
34*s**2
Let w(i) = i + 6. Let y be w(0). Let v(z) = -15*z**2 + 13*z + 13. Let r(u) = -7*u**2 + 6*u + 6. Let f(n) = y*v(n) - 13*r(n). Let l(h) = 7*h. Calculate f(l(m)).
49*m**2
Let t(d) = 9*d. Let b(j) = 5*j. Suppose -8 + 20 = 4*l. Let z(s) = l*t(s) - 5*b(s). Let w(i) = -2*i. Calculate z(w(a)).
-4*a
Let h(o) = -11*o - 15. Let s(c) = -13*c - 18. Let b(g) = 6*h(g) - 5*s(g). Let p(t) = -t**2 - 21. Calculate b(p(x)).
x**2 + 21
Let q(d) = 5*d. Let x(l) = -24422*l. Give q(x(n)).
-122110*n
Let w(l) = 2*l. Let h(t) = t + 8. Let s be h(-7). Let m(g) = 5 + s - 2*g - 6. Determine m(w(d)).
-4*d
Let k(t) be the second derivative of 3*t + 0 + 1/6*t**3 + 0*t**2. Let y(i) = -7*i. Determine k(y(q)).
-7*q
Let l(y) be the third derivative of 21*y**4/2 - 79*y**2. Let u(x) = 2*x**2. Give u(l(v)).
127008*v**2
Let s(d) = 2*d. Let t(r) = -284005*r + 284005*r - 13*r**2 + 3*r**2. Determine t(s(u)).
-40*u**2
Let p(q) = -260*q**2. Let v(j) be the second derivative of j**4/6 - j - 10. What is v(p(r))?
135200*r**4
Let s(x) = 176*x. Let f(q) = -65*q**2. Determine f(s(i)).
-2013440*i**2
Let n be (18/15)/(6/15). Let r(g) be the second derivative of -7 - 8*g - g**n + 7. Let z(k) = -2*k**2. Calculate r(z(j)).
12*j**2
Let q be -1 - 0 - (2 - 5). Let r(g) = 0*g**2 - 7*g**2 + 16*g**2 + 15*g**q. Let t(j) = 2*j. Calculate r(t(s)).
96*s**2
Let j(w) = 285*w**2 + 282*w**2 - 856*w**2 + 287*w**2. Let c(f) = -245*f. Give j(c(n)).
-120050*n**2
Let m(n) be the third derivative of -n**5/20 + 33*n**2. Let o(g) = g - 14. Give o(m(v)).
-3*v**2 - 14
Let z(u) be the second derivative of 0*u**3 + 0 + 1/12*u**4 + 0*u**2 + 5*u. Let x(p) be the second derivative of p**3/6 + 8*p. Calculate z(x(r)).
r**2
Let i(u) = 2 - 7*u - u**2 + 0 - 4 + 4. Let o be i(-7). Let q(f) = -f**o - 49 + 49. Let g(t) = 10*t. Calculate g(q(b)).
-10*b**2
Let q(u) = -u. Let f(y) = -2199*y - 744. Determine f(q(k)).
2199*k - 744
Let a(d) = -3*d**2. Let g(m) = 9*m. Let b(z) = -z. Let f(q) = -15*b(q) + g(q). Let u(v) = -5*v. Let i(k) = -3*f(k) - 14*u(k). What is a(i(n))?
-12*n**2
Let d(q) = 16*q**2. Let u(r) be the second derivative of 6*r + 1/6*r**4 + 0*r**3 + 0 + 0*r**2. Give d(u(v)).
64*v**4
Let y(n) = -28*n - 10. Let q(u) = 29*u + 15. Let h(a) = 2*q(a) + 3*y(a). Let w(s) = 6*s. Calculate h(w(b)).
-156*b
Let x(o) = o**2 + 19*o**2 - 7*o**2 - 10*o**2 - o**2. Let g(l) = 103*l**2. Calculate g(x(q)).
412*q**4
Let u(y) be the third derivative of y**5/60 + 292*y**2. Let v(x) = -4*x + 4*x - 7*x. Determine v(u(r)).
-7*r**2
Let n(g) = -g - 6. Let f(p) = 2*p + 8. Let w(i) = 3*f(i) + 4*n(i). Let o(c) = c**2 - 37. Calculate o(w(x)).
4*x**2 - 37
Let v(k) be the first derivative of k**4/24 + 3*k**2 + 12. Let n(m) be the second derivative of v(m). Let j(u) = -6*u. Calculate n(j(z)).
-6*z
Let h(x) = -5*x**2. Let o(i) = 30745*i - 15371*i - 11*i**2 - 15374*i. Calculate h(o(q)).
-605*q**4
Let b(u) = -42*u. Let h(s) = -1974*s. Let c(x) = -189*b(x) + 4*h(x). Let g(y) = -3*y. What is g(c(i))?
-126*i
Let y(k) = 10259*k. Let w(x) = -28*x**2 - 2*x. What is y(w(j))?
-287252*j**2 - 20518*j
Let m(c) = 55*c. Let h(z) = 556*z. Give m(h(r)).
30580*r
Let t(x) = 10*x. Suppose -2*v = 4*l - v - 5, -4*l = -3*v - 17. Let b(o) = 21*o**l - 15*o**2 - 7*o**2. Give b(t(f)).
-100*f**2
Let m(z) = -10*z. Let i(d) be the second derivative of 0*d**2 + 1/4*d**4 + 0 + 32*d + 0*d**3. Determine i(m(c)).
300*c**2
Let b(k) = 8*k. Let p be 3/((28/16)/(-7)). Let v = 13 + p. Let o(x) = x. Let d(g) = v*b(g) - 6*o(g). Let l(n) = -2*n**2. What is d(l(f))?
-4*f**2
Let d(j) be the first derivative of 0*j**2 + j - 8/3*j**3 + 36. Let t(n) = 2*n. Determine d(t(m)).
-32*m**2 + 1
Let c(y) = 3*y**2. Let z(m) = -19*m**2 - 32. Calculate z(c(n)).
-171*n**4 - 32
Let c(p) = -4*p - 4. Let h = -78 + 74. Let a(y) = 4*y + 3. Let k(w) = h*a(w) - 3*c(w). Let i(n) = 3*n. Calculate k(i(j)).
-12*j
Let a(s) = -15*s. Let d(z) = -267*z**2 - 37*z. What is d(a(w))?
-60075*w**2 + 555*w
Let y(t) = -2*t. Let q = 103 + -83. Let s(m) = -5*m - q*m + 5*m. Give y(s(v)).
40*v
Let v(g) = -8*g**2. Suppose 2*u = 5*m - 44, 4*m + 4*u - 17 = 35. Let j(s) = 28 - m - 18 - 5*s**2. What is v(j(h))?
-200*h**4
Let i(k) = 20*k**2 + k. Let v(d) be the second derivative of -d**5/120 - 29*d**3/6 + 20*d. Let q(y) be the second derivative of v(y). Give q(i(u)).
-20*u**2 - u
Let a(m) = -6*m**2. Let g(j) = -33*j - 17. Let k(d) = 11*d + 6. Let h(q) = 6*g(q) + 17*k(q). Give a(h(z)).
-726*z**2
Let v(k) = -45*k**2 + 21*k**2 + 16*k**2. Let z(x) = 13*x**2. Calculate z(v(h)).
832*h**4
Let k(f) = -2*f + 124. Let t(a) = -33*a**2. Give t(k(w)).
-132*w**2 + 16368*w - 507408
Let d(v) be the second derivative of 2*v**3/3 - 13*v**2/2 - 3*v + 7. Let k(c) = -5*c**2. Determine k(d(s)).
-80*s**2 + 520*s - 845
Let l(g) = 12*g**2. Let h(v) = 34940*v. What is l(h(o))?
14649643200*o**2
Let r(z) = -12168*z - 1. Let o(d) = 2*d - 12. Calculate o(r(y)).
-24336*y - 14
Suppose -3*p = s + 2, -6 = p - 4*s - s. Let n(i) = -8*i - 13. Let f(r) = -r + 2. Let a(o) = p*f(o) + n(o). Let z(k) = k. Determine a(z(h)).
-7*h - 15
Let x(y) = 35*y**2 + 20. Let a(v) = -5*v**2 - 3. Let d(c) = -20*a(c) - 3*x(c). Let u(k) = k**2 - 5. Let t(z) = 4. Let q(h) = 5*t(h) + 4*u(h). What is d(q(j))?
-80*j**4
Let h(n) = 96*n**2 - 2*n. Let b(q) = 87*q. What is h(b(d))?
726624*d**2 - 174*d
Let c(f) = 9*f + 8*f + 8*f - 24*f. Let b(a) = -12*a + 6. Calculate b(c(z)).
-12*z + 6
Let c(n) = -21*n. Let t(d) = -d**2 + 2*d + 1. Let r(g) = -2*g**2 + 14*g + 7. Let q(j) = -5*r(j) + 35*t(j). Determine q(c(x)).
-11025*x**2
Let u(q) = 2*q. Let z(v) = v**2 - 15*v + 24. Let d be z(13). Let f(i) = i**2 + 3*i. Let g(m) = d*f(m) + 3*u(m). Let l(s) = 2*s. Determine l(g(a)).
-4*a**2
Let r(t) = -18*t + 3. Let u(x) = 2520*x. Calculate u(r(y)).
-45360*y + 7560
Let c(v) = 21*v**2 + 1. Let h(b) = -7037*b. Determine h(c(o)).
-147777*o**2 - 7037
Suppose 5*u = 14 + 6. Let x(k) = 4*k + u*k - k - 6*k. Let w(o) be the first derivative of -2*o**3 + 1. Give x(w(y)).
-6*y**2
Let p = 21 + -19. Let m = 0 + p. Let r(o) = -13*o**2 + 8*o**m + 4*o**2. Let l(f) = 13*f. Calculate r(l(s)).
-169*s**2
Let z(g) = -5*g. Let s(h) be the first derivative of h**4/6 + 33*h + 30. Let f(d) be the first derivative of s(d). Calculate z(f(r)).
-10*r**2
Let c(s) = -501*s**2. Let g(k) = 129*k**2 - 1. Determine g(c(x)).
32379129*x**4 - 1
Let x(g) = 39*g. Let b(h) = -2*h + 289. Calculate x(b(n)).
-78*n + 11271
Let h(u) = -u. Let a(v) be the second derivative of -v**4/2 - 14*v + 5. Calculate a(h(g)).
-6*g**2
Let d(z) = -30*z. Let x(j) be the first derivative of j**3 + 75. What is d(x(b))?
-90*b**2
Let i(c) = 9*c**2 + 5*c + 3. Let d(h) = -5*h**2. Give i(d(s)).
225*s**4 - 25*s**2 + 3
Let v(r) = -r**2 - 1. Let d(w) be the first derivative of -8*w**3/3 - 9*w - 22. Let m(p) = -2*d(p) + 18*v(p). Let g(u) = -73*u. Determine g(m(k)).
146*k**2
Let o(y) = -2*y**2 + 23*y. Let d(k) = 73*k - 73*k + 4*k**2 - 6*k**2. Calculate d(o(u)).
-8*u**4 + 184*u**3 - 1058*u**2
Let z(t) = 0*t**2 - t**2 - 5*t**2 - t**2 + t**2. Let v(f) = 18*f. What is z(v(p))?
-1944*p**2
Let g(i) = -21758*i. Let x(b) = -2*b. Give x(g(n)).
43516*n
Let a(g) = 3*g**2. Let q(o) = -2 + 10*o + 4*o + 2. Give a(q(x)).
588*x**2
Let l(s) = 222*s + 216*s - 441*s. Let a(n) =
|
{
"pile_set_name": "DM Mathematics"
}
|
10326. Let z = l + u. Round z to 2 dps.
-0.01
Let g = 2380.6 + -2296.68. Round g to the nearest ten.
80
Let l = -0.8897 + -293.5203. Round l to the nearest ten.
-290
Let s = 3041.169 + -2980.8. What is s rounded to one dp?
60.4
Suppose -15207 = -2*g + 26895. Suppose -2*w = -3*a + 14874 + 6179, a - g = 2*w. Let r = w - -19225. What is r rounded to the nearest 1000?
9000
Let k = 16120443509 + -16120443357.00000389. Let u = k - 152. What is u rounded to seven decimal places?
-0.0000039
Let f = 4334263 + -1592808. Let s = 2741455.14399508 - f. Let g = s - 0.144. Round g to six decimal places.
-0.000005
Let m = 277 + -274. Suppose 3044 = 2*r + n, m*n - 1525 = -r + 7. What is r rounded to the nearest 100?
1500
Let a = 3285207.06900116 + -3285207. Let j = 9.731 - 9.8. Let k = a + j. What is k rounded to 7 decimal places?
0.0000012
Let s = -1057.2 - -1057.200055036. What is s rounded to five decimal places?
0.00006
Let f = -487 + 315. Let a = f - -171.99999914. What is a rounded to seven dps?
-0.0000009
Let o = -1721.3 - -1725.5884. Round o to the nearest integer.
4
Let a = 1490 - 983. Let f = -5227119.809789 + 5227626.81. Let q = a - f. What is q rounded to five decimal places?
-0.00021
Let h = 50206530.20999774 + -50206531. Let m = 0.79 + h. Round m to 7 dps.
-0.0000023
Let a = -48 - -52. Suppose a*v + 3*v = 1988. Suppose -v = -5*n + 4*z, 0 = -5*n - 2*z + 249 + 59. Round n to the nearest one hundred.
100
Let n = 0.78 - 1.3. Let r = n + 0.934. Round r to one decimal place.
0.4
Let f = 3038836.992698396 + -3038837. Let r = f + 0.0073. Round r to seven decimal places.
-0.0000016
Let w = 466213 + -1814873. Let l = 1348720.0079 + w. Let a = -60 + l. Round a to 3 dps.
0.008
Let l = 52518 + -52518.0000025621. Round l to seven dps.
-0.0000026
Let i = -31881 - -31880.99819144. What is i rounded to five decimal places?
-0.00181
Let w = -194 + 400. Let b = w - 69. Let k = b + 89. What is k rounded to the nearest 10?
230
Let x = 20 - 33. Let o = -6193.7668 + 6206.7667855. Let t = x + o. What is t rounded to 6 decimal places?
-0.000015
Let v be (-14)/(-4)*264/(-77). Let o be (3124976/v - 2)/((-1)/144). Round o to the nearest 1000000.
38000000
Let b = -44 + 25. Let g(i) = -9*i + 9*i + 4597*i**2 + 27 - 10*i - 14*i. Let n be g(b). What is n rounded to the nearest one hundred thousand?
1700000
Let o = 8919.26 + -214.26. Let u = o + -8705.00005233. Round u to six decimal places.
-0.000052
Let h = -5910 + 5909.999976624. Round h to six dps.
-0.000023
Let s be 36/(-10)*(19 - (-347139)/(-26)). Round s to the nearest 100.
48000
Let w = -52 + 53.8. Let f = -1.59 + w. Let g = 6.09 + f. What is g rounded to the nearest integer?
6
Let k = 496.897642092 - -4.102357164. Let c = k + -501. What is c rounded to seven decimal places?
-0.0000007
Let u(y) = 31*y - 88*y - 59 - 23 - 22*y + y**2. Let c be u(38). Round c to the nearest 100.
-1600
Let i = 5369883.0643 - 5369267. Let f = 616 - i. What is f rounded to three decimal places?
-0.064
Let p = 1294000.038 - 364.038. Let l = p + -1293640.599942. Let j = l + 4.6. What is j rounded to five dps?
0.00006
Let w = 7013277 + -10192977. What is w rounded to the nearest one hundred thousand?
-3200000
Let r = 10613 - 10331.84. What is r rounded to the nearest integer?
281
Let a = -4.226 - -0.026. Let f = -167 + 162.71. Let r = a - f. Round r to one dp.
0.1
Let d = 3805 + -3791. Suppose -8 = -2*u - 0*u. Suppose u*q - d = 14. What is q rounded to 0 dps?
7
Suppose 10*j = 7*j - 7475382. Let v = -711794 - j. What is v rounded to the nearest one hundred thousand?
1800000
Let p = -36750 - -139240. Round p to the nearest one thousand.
102000
Let x(p) = -51840*p**2 + 60670*p - 60666*p - 55461*p**2 + 5. Let s be x(-1). What is s rounded to the nearest 10000?
-110000
Let r = 258.84318867 - 258.842. What is r rounded to 5 decimal places?
0.00119
Let n = -0.65 - -0.49. Let b = n + 0.159981. Round b to five dps.
-0.00002
Let c = 3.8057917 - -11.5940093. Let j = c + -15.4. Round j to five decimal places.
-0.0002
Let j = -669.809 + 680.9. Round j to 1 decimal place.
11.1
Let s = -2.232 - -2.17354. Round s to 2 dps.
-0.06
Let f = 107384.70084719247 + -818819338.70082709247. Let c = f + 818711549. Let u = c - -405. What is u rounded to 6 decimal places?
0.00002
Let l = 5261.82087 - 5261. Round l to 2 decimal places.
0.82
Let r(w) be the first derivative of -w**4 + w**3/3 - 13*w**2/2 - 12*w - 90. Suppose t + 12 + 0 = 0. Let a be r(t). Round a to the nearest 1000.
7000
Suppose 26 = -4*u - 4*g - 6, -3*u + 2*g = 29. Let w be (4 - (-4380)/9) + (-3)/u. Let v = -1021 + w. What is v rounded to the nearest one hundred?
-500
Let a = 625.92 + -9.92. Let b = a - 640.9. Round b to the nearest integer.
-25
Let k = 863.500008751 + -863.5. Round k to six decimal places.
0.000009
Let k be -1 + -6 + (-268319993 - (-4)/(-8)*0). What is k rounded to the nearest 1000000?
-268000000
Let t = -15.781 + 15.750117. Round t to 3 decimal places.
-0.031
Let f = -3.9199 - -3.91866412. Round f to four dps.
-0.0012
Let b = -5057 + 5057.11548. What is b rounded to three decimal places?
0.115
Let o = -362.198949 + 362.2. What is o rounded to 4 dps?
0.0011
Let v = -137 + -476. Let x = -638.5096 - 0.1904. Let f = v - x. What is f rounded to the nearest integer?
26
Let a = -22.09 - 19.42. What is a rounded to the nearest integer?
-42
Suppose 2*s = 4*s - 216. Let v be (-24)/s - 35954971/9. Let d be v/5 - ((-2)/5 + 1). Round d to the nearest one hundred thousand.
-800000
Let k = -0.95 + 11.35. Let y = 12 - k. What is y rounded to the nearest ten?
0
Let u = 10770.99989606 - 10771. What is u rounded to five decimal places?
-0.0001
Let w = 650357 - 958757. What is w rounded to the nearest one thousand?
-308000
Let p = -201 - -199.76. Let r = p - -1.2400238. What is r rounded to five decimal places?
0.00002
Let i(n) = 2*n. Let v(q) = 58150*q + 4. Let u(y) = -24*i(y) - 3*v(y). Let k be u(6). Let b be k/(-9)*(-6 + 3). Round b to the nearest 100000.
-300000
Let h = 2.485 - 2.5. Let q = 78.015 + h. Let f = q - 77.43. What is f rounded to 1 decimal place?
0.6
Let d = -0.049 + -0.221. Let o = -1.257 + -7.873. Let z = o + d. What is z rounded to zero decimal places?
-9
Let t = 0.06838 + -1.60998. What is t rounded to 1 dp?
-1.5
Let z = -0.118982687 + 0.119. Round z to six decimal places.
0.000017
Let c(p) = -3*p + 18. Let d be 155/20 - (-1)/4. Let i be c(d). Let s be (-6)/(i/2*8/(-588)). What is s rounded to the nearest 10?
-150
Suppose -3*z + 11 = j, -z = 3*j + 2*j - 27. Let l(d) = -521*d - 10. Let c be l(z). What is c rounded to the nearest 10?
-1050
Let a = 896 - 776. Let s = a + -120.0287. Round s to 2 dps.
-0.03
Let b = -261 - 62. Let c = b - -304.2. Round c to the nearest integer.
-19
Let f = 201.31 + -261. What is f rounded to the nearest ten?
-60
Let l = -73261.0077898 - -73261. What is l rounded to 3 dps?
-0.008
Let k = -53.68 + 53.68001682. Round k to six dps.
0.000017
Let q = -5401 - -5400.9999998519. Round q to 7 decimal places.
-0.0000001
Suppose i - 2*g = -4*i + 11, -4*g + 14 = 2*i. Let m be 9/i*((-28)/12 - -3). Suppose -2063 = m*w - 10063. Round w to the nearest 1000.
4000
Let v = 4509.95 - 4632. Let p = -122 - v. Let u = -0.0282 + p. What is u rounded to three decimal places?
0.022
Let n = 1.1391 - 10.5061. Let x = -9.2 - n. Let u = -0.1669826 + x. Round u to six decimal places.
0.000017
Let c = -0.01547 + 544.19547. Let n = -543 + c. Round n to the nearest integer.
1
Let v = 142.42 - 142.406726. What is v rounded to 4 decimal places?
0.0133
Suppose 0 = 4*a - 4, 0*x = -2*x + a + 28065993. Suppose -4127003 = -4*f + x. What is f rounded to the nearest one hundred thousand?
4500000
Let s = -273 + 299. Suppose 19*g + 3486 = s*g. What is g rounded to the nearest 100?
500
Let z = 0.44 + -1238.44. Let i = 1237.99999177 + z. What is i rounded to 6 dps?
-0.000008
Let l(a) = 8 - 2*a + 7 - 27 + 0 + 68752*a**2. Let z be l(-2). What is z rounded to the nearest 10000?
280000
Let f = -226.79 + 241.637. Round f to 1 dp.
14.8
Let n = 2.425 + 1371.575. Let b = 1374.00000683 - n. What is b rounded to 7 decimal places?
0.0000068
Let s = -644.011 + 562.6192. Let z = s + 81.4. Round z to two decimal places.
0.01
Let f = 57.89 + -58. Let l = f - 19.89. Let v = 20.0084 + l. What is v rounded to three decimal
|
{
"pile_set_name": "DM Mathematics"
}
|
5
-40022023
Convert 230111321112 (base 4) to base 10.
11624022
Convert -48cd1c (base 15) to base 7.
-41426061
Convert -c6a9 (base 16) to base 3.
-2120202121
-1011001220102 (base 3) to base 11
-388525
-a3196a (base 11) to base 5
-411010204
Convert 1ea183 (base 15) to base 2.
101101110110000001111
Convert -8303744 (base 9) to base 11.
-2557479
816921 (base 10) to base 13
227ab1
Convert -254513 (base 13) to base 4.
-3122201000
40466512 (base 7) to base 15
46adcd
386245 (base 13) to base 11
846817
Convert -111263 (base 8) to base 3.
-1220111221
What is -230303310 (base 4) in base 16?
-2ccf4
What is -10202000012000 (base 3) in base 11?
-1138780
22100102110102 (base 3) to base 2
10000111011010000100101
What is 3222451 (base 6) in base 8?
465777
Convert 1461776 (base 9) to base 5.
201331433
Convert -122340103 (base 5) to base 3.
-1002222100220
What is -1200022004 (base 5) in base 7?
-32153216
What is 100214343 (base 5) in base 6?
12311014
Convert 194321 (base 12) to base 13.
126736
What is 332069 (base 12) in base 8?
3062321
What is c1bc4 (base 13) in base 12?
148944
What is 2e7c8b (base 15) in base 10?
2253956
Convert -7e17 (base 16) to base 9.
-48245
Convert -1511eb (base 16) to base 10.
-1380843
12867566 (base 9) to base 16
611829
What is -2613a (base 14) in base 7?
-536503
Convert -1212300 (base 4) to base 7.
-25113
265444 (base 10) to base 12
109744
Convert 1671135 (base 9) to base 6.
31553052
What is 2115483 (base 9) in base 7?
12424566
What is -15908 (base 10) in base 2?
-11111000100100
120102110121 (base 3) to base 10
303604
202011021200 (base 3) to base 2
1100000110111101111
What is 4045004 (base 6) in base 4?
233011330
-30565 (base 10) to base 4
-13131211
Convert 223113100033 (base 4) to base 15.
ee81e4
What is 14551545 (base 7) in base 10?
1390800
What is -5506000 (base 8) in base 7?
-15362652
Convert -2b9c07 (base 13) to base 10.
-1078565
Convert -10102002111 (base 3) to base 5.
-4122020
What is 10a789 (base 11) in base 2?
101010110011001001
What is -20680 (base 16) in base 9?
-222064
-12123222 (base 5) to base 3
-12210122011
What is 412d8 (base 15) in base 16?
326c0
-103ac90 (base 13) to base 11
-2871a45
10312014 (base 5) to base 14
242d2
Convert 2e209d (base 16) to base 6.
144443221
What is 10214222 (base 5) in base 15?
1a542
Convert -428a6f (base 16) to base 5.
-2104021230
Convert 5162453 (base 8) to base 3.
2120120110001
What is 94d9a (base 14) in base 4?
1113233230
Convert -121121240 (base 5) to base 11.
-358059
-80749 (base 11) to base 8
-346414
-bbc (base 14) to base 9
-3160
-121202201 (base 4) to base 8
-314241
What is 538b19 (base 13) in base 16?
1dee85
Convert -112445 (base 13) to base 4.
-1202313311
Convert 154554512 (base 6) to base 7.
40103642
What is -160513 (base 10) in base 5?
-20114023
-91954a (base 13) to base 9
-6337362
111000000010111 (base 2) to base 15
8780
What is -122112424 (base 5) in base 16?
-8e25f
Convert b1bb3b (base 13) to base 9.
7707403
What is -2077724 (base 10) in base 7?
-23442335
Convert -425581 (base 10) to base 13.
-11b930
Convert 1110001000011001101111 (base 2) to base 11.
2100215
5486 (base 14) to base 11
aa93
What is 3133022031 (base 4) in base 8?
3371215
3373224 (base 10) to base 7
40446321
What is -1100992 (base 12) in base 4?
-30112011332
What is 232061222 (base 7) in base 4?
312113012120
What is 1323465 (base 7) in base 6?
3422120
-713248 (base 11) to base 16
-117dad
6203312 (base 7) to base 11
466548
-100002002120100 (base 3) to base 16
-499c8f
Convert 31106305 (base 7) to base 9.
4813474
Convert 3410443 (base 5) to base 13.
2149b
Convert -dcdc8 (base 16) to base 15.
-12d09d
Convert -1125060 (base 8) to base 4.
-1022220300
What is -8c2c (base 15) in base 11?
-20389
110010111000001111111111 (base 2) to base 14
1ab28d9
What is 108b742 (base 16) in base 5?
13420122133
Convert 253a1 (base 11) to base 15.
abc6
Convert -2f824 (base 16) to base 5.
-22211341
What is 4a215 (base 12) in base 10?
100529
Convert 3321224 (base 5) to base 14.
17049
Convert -2973ce (base 16) to base 2.
-1010010111001111001110
What is -4157162 (base 8) in base 2?
-100001101111001110010
Convert -37a0684 (base 12) to base 11.
-6180465
What is -20110002221020 (base 3) in base 12?
-1193259
-23277032 (base 8) to base 10
-5078554
Convert -377204 (base 8) to base 9.
-218243
Convert -3470748 (base 10) to base 9.
-6468866
638b (base 12) to base 10
10907
Convert -9b308 (base 14) to base 8.
-1337314
-3555212 (base 6) to base 10
-186488
-2341431 (base 5) to base 12
-2111a
Convert 366592 (base 10) to base 8.
1314000
217567 (base 9) to base 16
1fcb4
Convert 5849 (base 14) to base 15.
4838
What is aa363 (base 16) in base 15?
db892
What is -1810951 (base 10) in base 2?
-110111010001000000111
-314a9 (base 13) to base 16
-15a77
What is 79ac5 (base 16) in base 2?
1111001101011000101
219475 (base 11) to base 10
349288
What is 123811 (base 12) in base 13?
a5046
1130012130 (base 4) to base 11
23847a
Convert -3223332131 (base 4) to base 8.
-3537635
Convert 210112222110011 (base 3) to base 8.
53545201
What is 8bade (base 15) in base 7?
3531110
What is -2dacd (base 14) in base 9?
-184233
2444243 (base 5) to base 2
1011011011100111
What is -22186 (base 11) in base 10?
-32159
-516553 (base 7) to base 15
-1b487
What is 552220 (base 6) in base 15?
d8d6
What is 769589 (base 11) in base 8?
4536154
What is -12012202122 (base 3) in base 13?
-37928
What is 112100210120210 (base 3) in base 14?
1029a24
Convert 19b4629 (base 12) to base 16.
535581
What is -8ad1 (base 16) in base 4?
-20223101
What is -5752231 (base 8) in base 11?
-977406
Convert 2c8557 (base 15) to base 3.
11001110100201
What is 155215 (base 7) in base 2?
111011110101101
-3417135 (base 9) to base 14
-35d568
542c6 (base 16) to base 14
8d90a
-86a239 (base 12) to base 2
-1000001000101011001101
Convert -1605125 (base 8) to base 3.
-212102220210
-2311022211 (base 4) to base 16
-b52a5
What is -11321101 (base 4) in base 8?
-57121
Convert 378375 (base 12) to base 2.
11011101001100001001
-862a39 (base 11) to base 12
-566860
Convert 155136231 (base 7) to base 15.
dc5319
What is 102211232 (base 5) in base 12?
188292
What is 112120120212 (base 3) in base 16?
460cd
Convert -131d7 (base 16) to base 10.
-78295
What is -113e4 (base 15) in base 3?
-2210021221
Convert 100000111111111111 (base 2) to base 14.
3738b
What is -33003313 (base 4) in base 2?
-1111000011110111
Convert 120221212002011 (base 3) to base 6.
501433351
What is 221011021020 (base 3) in base 5?
111321221
-3023000120 (base 4) to base 16
-cb018
Convert 34377d (base 16) to base 10.
3422077
-10011000001000010101111 (base 2) to base 7
-60241356
What is -7124241 (base 8) in base 13?
-509b62
4202430 (base 5) to base 6
1251551
25221255 (base 6) to base 5
201432434
What is 112002332220 (base 4) in base 3?
101212121210200
What is 115522643 (base 7) in base 10?
7266437
What is 441b1 (base 14) in base 13?
5a138
What is -13253677 (base 8) in base 2?
-1011010101011110111111
Convert -120225462 (base 7) to base 9.
-15017516
Convert -db60d (base 14) to base 3.
-222222002120
79377 (base 10) to base 16
13611
-222201022222 (base 3) to base 9
-881288
What is -206334000 (base 7) in base 4?
-232321211130
Convert 21ca0 (base 16) to base 7.
1114333
What is -2688274 (base 10) in base 8?
-12202422
Convert 116288 (base 9) to base 8.
211122
What is -5210553 (base 6) in base 14?
-67337
104302430 (base 5) to base 8
1610021
Convert 35432427 (base 8) to base 6.
434012555
30300113 (base 4) to base 13
1aa20
What is 10100011011111010 (base 2) in base 5?
10134311
What is -34511025 (base 6) in base 5?
-233114331
37208 (base 10) to base 11
25a56
What is -31ea0 (base 16) in base 11?
-12a672
What is -61b28 (base 13) in base 4?
-222311200
Convert 110001010010101 (base 2) to base 5.
1301422
243583 (base 10) to base 5
30243313
1324043123 (base 5) to base 2
1100110001000011100111
What is 10421322 (base 5) in base 2?
10110011110110111
-11111000001111001 (base 2) to base 5
-13031342
55361 (base 16) to base 12
149b95
What is a0909c (base 13) in base 5?
1423422312
What is -236a315 (base 11) in base 3?
-21202201021212
What is -6702a (base 16) in base 2?
-1100111000000101010
Convert -17150b (base 15) to base 12.
-45b185
2998a5 (base 11) to base 15
9353d
125243323 (base 6) to base 8
11407503
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 1)*(-2 + 2 + i) + (i - 3*i - i)*(-3 - 8 - 3) + (0 + 3 - 2)*(0*i - 6*i + 3*i) to the form n + z*i and give z.
42
Express 34*m**2 - 2 - 132*m**2 + 41*m**2 + 19*m**3 + 47*m**2 + 28*m**2 in the form r*m**2 + l*m + x*m**3 + b and give r.
18
Express -8 + 7 + 1174*d**2 + 157*d**2 + 608*d**2 + 174*d**2 in the form o + v*d**2 + l*d and give v.
2113
Rearrange (-2*p**2 + 3*p**2 - 2*p**2)*(-3 + 1 - 1) + (3*p - 32*p - 43*p)*(p - p + 2*p) to g + o*p + z*p**2 and give z.
-141
Express ((4 - 4 - 2*u**2)*(-3 + 0 + 2) + (3*u - 3*u - u - 5)*(u - 34*u - 17*u))*(-10*u + 18*u - u) as l*u**2 + k + y*u**3 + d*u and give l.
1750
Rearrange -90201*u + 43825*u + 29901*u to the form p*u + f and give p.
-16475
Express -3416*b - 393 + 115 + 137 + 141 in the form y*b + j and give y.
-3416
Rearrange 565 + 579*j**2 + 1642*j**2 - 565 to the form o*j**2 + h*j + m and give o.
2221
Rearrange -95*f - 98*f - 1633 + 190*f + 1633 - 34*f**2 + 2*f**3 to the form i + t*f**2 + h*f + y*f**3 and give t.
-34
Rearrange (-5 + 2*v + 5)*(-540*v - 1542*v - 125*v)*(-4 + 2 + 3) to the form i + w*v**2 + c*v and give w.
-4414
Express -86 + 2335*x - 7010*x + 2*x**2 + 2340*x - 3*x**3 + 2333*x in the form z + t*x**2 + n*x + y*x**3 and give t.
2
Express -8 - 40*g - 12 - 27 - 6 + 8 in the form k*g + q and give k.
-40
Rearrange -5*u**2 - 899*u**3 + 458*u**3 - 13 + 444*u**3 to the form c*u + s*u**2 + y + p*u**3 and give s.
-5
Rearrange (3*w + 6 - 3 + 0)*(-5 + 5 - 2)*(1464*w + 1994*w - 585*w) to the form o + p*w**2 + r*w and give p.
-17238
Express (y - 2 + 2 + (0 - 4 + 1)*(-3 + 2*y + 3))*(0 + 3 - 5) + (6 - 2 - 2 + (2 - 4 + 0)*(-2 + 4 + 0) - 255 + 116 - 1227)*(y - 2*y - y) as b + s*y and give s.
2746
Rearrange -k + 77*k**2 + 18*k**2 - 35*k**4 + 1 - k**3 - 92*k**2 to the form s + t*k**3 + o*k**2 + x*k + g*k**4 and give x.
-1
Rearrange -5378*b + 2685*b - 11*b**4 - b**2 + b**2 + 2692*b + 344*b**3 to m*b + p*b**2 + k*b**3 + r + d*b**4 and give k.
344
Express 1316 - 2*n**2 - 2*n**2 + 101*n - 662 - 656 in the form y*n**2 + i + d*n and give d.
101
Express 6968*l + 1833 - 3699 + 1868 in the form g + p*l and give p.
6968
Rearrange 2841*a**3 + 195 + 2840*a**3 + 2844*a**3 + 2844*a**3 - 11366*a**3 - 13*a to t*a + b*a**3 + k*a**2 + z and give z.
195
Rearrange g**3 + 124 + 126 + 131 + 121 - 19*g - 501 - 3*g**2 to the form a*g**3 + d*g**2 + q + u*g and give u.
-19
Express 5*d - 99 + 44 + 113 as p + v*d and give v.
5
Express (4*u - 4*u - 2*u)*(2*u + 4*u - 5*u) + 884*u + 15 - 9 - 892*u + 4*u**2 + 7 as g + x*u**2 + n*u and give x.
2
Rearrange ((-40 + 62 + 24)*(8 - 8 - 16) - 1 + 1 - 1 + (-1 - 2 + 1)*(3 - 4 - 1))*(3*i - 4*i + 2*i) to c*i + k and give c.
-733
Express 1 + 415*u**2 - 222*u**2 - 2 + 206*u**2 + 2153*u - 2150*u as k*u + w*u**2 + f and give w.
399
Rearrange -3854*v - 2620*v + 569*v - 2316*v + 1488*v to the form g*v + o and give g.
-6733
Rearrange 59*d**3 - 2*d**3 + 29*d**3 + (2*d**2 - 2*d**2 - d**3)*(18 + 9 - 15)*(4 - 2 + 0) to the form c*d**3 + r*d + g*d**2 + k and give c.
62
Rearrange (-w + 4 - 4)*(0 - 2 + 1) + 5217322 - 2606221 + 6*w - 2607671 to m*w + p and give p.
3430
Rearrange (139 + 72 - 2)*(-2*g + g - g + 1) + 2*g + 0*g - 3*g + (3*g - 5*g + 3*g)*(0 - 24 + 5) to z + s*g and give s.
-438
Express 3 + 280*p + 211*p + 316*p - 11*p**2 + 9*p**2 - 918*p - 2*p**4 + p**3 as k*p + l*p**3 + h*p**4 + t + a*p**2 and give a.
-2
Rearrange -39400*d - 7*d**2 + 39353*d + 0*d**2 to the form j*d**2 + b + k*d and give k.
-47
Express 2*a**2 - 504493 - 4431*a + 504493 as l + o*a**2 + v*a and give v.
-4431
Rearrange -8087022 + x - 2*x**3 + 8087022 - 435*x**2 + 0*x to the form b*x**2 + s*x**3 + h*x + t and give b.
-435
Rearrange 0 + 20*k**2 + 582*k**3 - 15*k**2 + 1 + 142*k**3 + 0 to p + s*k**3 + c*k**2 + j*k and give p.
1
Express -16*t**2 - 693*t**2 - 229*t**2 - 1335*t**2 in the form s + p*t + j*t**2 and give s.
0
Rearrange 3 - 93*b - 3 + 1826*b - 16162*b to the form z*b + m and give z.
-14429
Express -7*x**4 - 11*x - 59*x**2 + 106*x**2 + x**3 - 49*x**2 in the form k*x**4 + h*x**2 + l*x + b + v*x**3 and give b.
0
Express 40 - 7 + 93*i**2 - 6*i + 48*i**2 - 30 - 4 as x + a*i + z*i**2 and give a.
-6
Express 0*h**2 - 9*h**3 - 1291 + h**2 - 2*h - 3*h**3 + 11*h**3 + 192 + h**4 in the form c + t*h**4 + a*h + g*h**2 + r*h**3 and give g.
1
Rearrange ((-2 + 3 + 1)*(5 - 2 - 1) - 1 - 2 + 1 + 1 + 0 + 0)*(-18*z + 17*z - 815*z**4 - 92*z**4) to l + c*z**2 + w*z + s*z**3 + x*z**4 and give w.
-3
Express 80948*h**2 - 163216*h**2 + 90521*h**2 + h - 2*h + 2 as v*h + n*h**2 + i and give n.
8253
Express (-4*k - 5 + 5)*(-870 + 451 - 524) as z*k + q and give z.
3772
Rearrange (i**2 + 3*i**2 - 2*i**2)*(-2*i**2 + 2*i**2 + i**2) - 714758*i**4 - 2*i + 718681*i**4 + 2*i to p*i**3 + c + h*i + a*i**4 + d*i**2 and give c.
0
Express -63*r**3 + 104*r**2 - 14*r**3 - 2*r - 97*r**2 - 32 + 34 + 14*r**3 as x*r + w + g*r**2 + y*r**3 and give w.
2
Express (34*a + 196*a - 8*a)*(-2 - 3*a + 2)*(0 + 401*a**2 - 405*a**2 + 7) as f*a**3 + n*a + t*a**4 + l + v*a**2 and give t.
2664
Rearrange -27 - x + 0*x + 28 - 3*x + x + 462*x**3 to d*x**3 + z*x**2 + w*x + k and give w.
-3
Express (-5656*l + 3242*l - 7806*l)*(-2 + 3 + 0)*(-2*l - 2*l**2 + 2*l) as d*l + p*l**2 + i + k*l**3 and give k.
20440
Rearrange 16 - 2*z**2 + 20 + 107 - 37 + 106 to s*z**2 + f*z + a and give a.
212
Express (3234 + 938*n - 6466 + 3230)*(-3 + 3*n + 3)*(2 + 0 - 4) in the form t*n + c*n**2 + z and give c.
-5628
Rearrange -454*k - 2*k**3 + 789*k**2 - 789*k**2 to the form v*k**2 + b + p*k + a*k**3 and give p.
-454
Rearrange -2882*r - 1680*r + 621*r - 367*r to z*r + j and give z.
-4308
Express 26*d**2 - 61*d - 61*d - 64*d + 94 + 186*d as h + y*d + f*d**2 and give h.
94
Rearrange 4 + 11966*q - 28650*q - 4 + 9461*q to the form m*q + g and give g.
0
Rearrange -20*u - 133*u + 230*u + 255*u to c*u + j and give c.
332
Rearrange 26 - 13*n**2 - 26 + (0*n - 3*n + 5*n)*(-45 + 26*n - 76 + 132) to f*n + j*n**2 + t and give f.
22
Express (-8 - 10 + 10 + (6 - 79 - 15)*(1 + 1 + 1) + 6 + 1 - 5)*(0*w - 7*w + w) as a + f*w and give f.
1620
Rearrange (-127 - 174 - 396)*(-3*s + 2*s - s) + (-3*s - 2*s + 4*s)*(1 - 3 + 4) + 2 - 2 - 2*s to the form q*s + v and give q.
1390
Express (128 + 100 - 118)*(-19 + 38 + 5)*(2*c - 5*c - 3 + 2 - c**2)*(-3 + 3 - c) in the form j*c + k*c**2 + o + i*c**3 and give i.
2640
Express (-3 + 6 - 4)*(-3*m + 6*m - 2*m)*(-753 + 460 + 575) as g*m + w and give g.
-282
Rearrange (4*r - 3*r - 2*r)*(-575 - 576 - 16*r + 1155)*(17*r**2 - 7*r**2 - 7*r**2) to w*r**2 + b*r + j*r**3 + l + i*r**4 and give j.
-12
Rearrange 22*o**2 - 14*o**2 + 3*o**4 - 2*o - 7*o**2 - 5 + 4*o + 3*o**3 to p*o + s*o**4 + v + n*o**3 + z*o**2 and give p.
2
Express 12191875*k - 12191875*k - 11 + 27*k**2 in the form i*k**2 + u*k + t and give i.
27
Express 4*l + 1 + 4*l + 101 - 101 - 4*l**2 - 14 in the form z + v*l + d*l**2 and give z.
-13
Express (2*s**2 - 1 + 1 + (-2 + 2 + s)*(0*s + 2*s - 3*s) + 926*s**2 + 12 - 97*s**2 - 7 - 5)*(15 - 9*s - 15) in the form f*s**3 + u + g*s + a*s**2 and give f.
-7470
Express 23 - 54 - 5162*h + 11 + 18 as v*h + s and give s.
-2
Rearrange (b + 2*b + 0*b)*(-13697 - b**2 + 13697 + 31*b) to r + i*b**3 + s*b**2 + j*b and give s.
93
Express -j**2 - 4708*j**3 + 2*j + 9423*j**3 + 2*j**4 - 5*j**4 - 4714*j**3 - 6 in the form n*j**2 + h*j**3 + x*j**4 + d*j + s and give s.
-6
Express 2*f + f - 7*f + 308*f + 282*f - 634*f + (0*f + 2*f + 0*f)*(-5 + 0 + 2) in the form z + k*f and give k.
-54
Express 8770*d - 8770*d - 5662*d**2 + (-2 + 2 - d)*(-d + d + d) as s*d + l*d**2 + j and give s.
0
Express z**2 - 1 - 2*z**2 + 496*z + 560*z - 1166*z + 0 in the form j*z**2 + r*z + n and give n.
-1
Express -48787*f**2 - 3738 + 13848*f**2 + 3738 as a*f + l*f**2 + w and give l.
-34939
Express 20*u + 15 - 75 + 57 + 19 + u in the form b + q*u and give q.
21
Rearrange (2 - 2*b - 2)*(3*b**3 + 143*b**3 + 84*b**3) - 5*b**3 + 2*b**4 + 1 - 3 + 7*b**3 - b to the form y*b + n*b**4 + t*b**2 + m*b**3 + s and give m.
2
Rearrange (-9*w + 1 - 1)*(7302 + 7314 - 13979) to n*w + s and give n.
-5733
Express (0 - 1 + 0)*(-5 + 3 - 3)*(-64 + 3*f + 65 - f) as h + p*f and give h.
5
Express -2*v + 5*v - v + 30*v - 36 - 27*v - 135 + 4*v - v - 6*v + (-1 + 3 - 3)*(3*v + 0*v - 5*v) as f*v + u and give f.
4
Express (1 + 0 - 3)*((-5*l + 4*l + 4*l)*(0 - 5 + 2) - l + 0 + 0 + 51*l
|
{
"pile_set_name": "DM Mathematics"
}
|
9*l**4 + 2*l + 1 - 11*l**3 - 10*l**4 + 4*l**2 - 2*l**2 in the form t*l**2 + p*l**3 + c*l + a + w*l**4 and give a.
1
Express (-64*a**2 - 53*a**2 + 120*a**2)*(4*a + 2*a - 5*a) in the form b + p*a + j*a**2 + i*a**3 and give p.
0
Rearrange 3*v**2 + v**2 - 6314*v + 6281*v - 2 to the form s*v**2 + n*v + y and give s.
4
Rearrange 12*t**2 - 16 + 6*t**2 - 26*t**2 - 7 - t**3 + 12*t**2 to the form g*t**3 + p*t + w + n*t**2 and give g.
-1
Express -11*w**2 + 27 - 11*w**2 + 23*w**2 - 5*w**2 in the form c + i*w + k*w**2 and give c.
27
Express -2*k**4 + 3 - 147*k + 115*k**2 + 93*k + 52*k in the form z*k**2 + p*k**4 + d + w*k**3 + o*k and give w.
0
Express 14*s + 21*s - 8*s + (8*s - 12*s - 12*s)*(6 - 2 - 3) - 2*s - 3 + 3 in the form t*s + h and give t.
9
Rearrange 0 + 0 + i**3 + (2*i + 4*i + 4*i)*(0*i**2 + 6*i**2 - 4*i**2) + 3*i**2 - 7*i**3 - 3*i**2 to the form l*i + v + a*i**3 + g*i**2 and give g.
0
Express m**3 + 1 + 0*m**3 - 2*m**3 + 37*m**2 + m**4 - 1 - m - 2 as w*m**2 + f*m**4 + v*m + d + c*m**3 and give c.
-1
Express 9*h**4 + 9*h**4 - 11*h**4 - 5*h**4 - h**2 - 1 + 23*h**3 as r*h**2 + i*h**3 + d*h**4 + v + z*h and give d.
2
Express -716*x + 181*x + 182*x in the form s + h*x and give h.
-353
Rearrange 95*h - 115*h + 344*h + 73*h to the form l + t*h and give t.
397
Rearrange (-1036*g - 555*g - 61*g - 528*g + 384*g)*(-5*g**2 + 2*g**2 + g**2) to the form s*g**2 + j*g + q*g**3 + v and give q.
3592
Rearrange -18*f - 4 - 18*f - f**4 + 4 - 52*f**2 + 35*f to k*f**2 + p*f**3 + v*f**4 + t + j*f and give j.
-1
Express (79 - 167 - 467 + 16)*(l**2 + 3*l**2 - 6*l**2) in the form x + g*l**2 + s*l and give g.
1078
Rearrange (-4*j**2 + 0*j + 0*j)*(3 - 3 - j)*(-40*j - 54*j + 139*j) to the form w*j + s*j**2 + v*j**3 + x + a*j**4 and give a.
180
Rearrange 37*z**2 + 36*z**2 + 2*z**2 - 11*z**2 to the form d*z**2 + t + b*z and give d.
64
Express 787 + 672 - 1350 - a**3 - a in the form z*a**3 + s*a**2 + c*a + m and give c.
-1
Rearrange 17*o**2 - 17*o**2 - 868*o**3 + o - o + 2*o**3 + (-1 + 1 + 2*o**3)*(-5 + 3 + 0) + 2*o**3 - 4*o**3 + 0*o**3 to n*o**3 + v*o**2 + j + g*o and give n.
-872
Rearrange (3 + 1 + 0)*(-s**3 + 0*s**3 - s**3)*(21 + 19 + 5) to y*s**2 + q + p*s + o*s**3 and give o.
-360
Rearrange (-26*d**2 + 24*d**2 + 13*d**2)*(103 - 103 - 13*d**2)*(1 - 4 + 1) to b*d**2 + y + w*d + m*d**4 + f*d**3 and give m.
286
Express (3 - 2 + 0)*(-2*l**3 - 2*l**3 + 2*l**3)*(4 - 2 + 4) + (55*l - 42*l + 137*l)*(4*l**2 - 3*l**2 - 2*l**2) in the form s*l**2 + o*l + y + h*l**3 and give h.
-162
Rearrange -110*n**3 + 0*n**2 - 224 + 3*n**2 + n**2 - 2*n**2 + 108*n**3 to the form i*n**2 + f + g*n + z*n**3 and give f.
-224
Express 8 + 6 - 121*v + 0 + 6 - 21 in the form h*v + b and give h.
-121
Rearrange 7*v**3 + 3*v - 5 - 28*v**3 + 11*v**3 + 13*v**3 to s*v**2 + r + b*v**3 + i*v and give b.
3
Rearrange ((2 - 1 + 1)*(0 + 4 - 2) + 0 + 2 - 4 - 6 + 0 - 7)*(2 - 2 - 6*x + 0) to b + f*x and give f.
66
Express ((-2 - 3 + 6)*(1 - 1 - d) + 2*d + d - 5*d + 3*d + 0*d - d)*(10 - 10 - 7*d + (-2*d + 0*d + d)*(-1129 + 566 + 588)) as n*d + o*d**2 + i and give o.
32
Express -y**2 + 9*y - 25*y + 4*y**3 + 4*y**4 - 6*y**4 + 1 + 3*y**4 in the form m*y**3 + b*y**4 + l + t*y**2 + v*y and give m.
4
Rearrange (5*i - 4*i - 3*i)*(184 - 544 + 180 + 179 + 2439*i) to p + z*i**2 + n*i and give n.
2
Express 1683 - 1683 - 41*y as p*y + z and give p.
-41
Express 3*i**3 + 4*i**2 + 52 - 3*i**2 - 5*i**2 - 96 + 2*i**2 as f*i**3 + x*i**2 + p*i + y and give y.
-44
Express (-1 + 2*p + 1 + 2*p - 3*p + 0*p + (-1 - p + 1)*(2 - 3 + 3))*(-2*p + 2*p - 3*p**2) as r*p**2 + u*p**3 + t*p + a and give u.
3
Rearrange 4 - 10 + 36*y - 2 - 2 - 12*y to the form m + o*y and give m.
-10
Rearrange (5 - 3 - 4)*(35 - 163*o - 39 + 753*o + 322*o) to the form u + m*o and give u.
8
Rearrange -24*f + 10*f + 2*f**2 - 84*f**3 + 82*f**3 to the form p*f + z*f**2 + t*f**3 + m and give z.
2
Rearrange 122 + 19*a**2 + 111 - 240 to the form f*a**2 + b + n*a and give f.
19
Rearrange (0 + 0 - 5)*(2 - 1 + 3)*(-2*d - 9*d**3 - 2*d + 5*d) to y*d**3 + u*d**2 + b*d + p and give b.
-20
Express -5*w - 9*w - 9 + 7*w - 3*w - 7*w in the form z + c*w and give z.
-9
Rearrange (3831 + 3499 - 7852)*(-q**4 - q + q) to j*q**3 + y*q + h*q**2 + d*q**4 + x and give d.
522
Express -129*m - 2*m**3 - 15*m**4 + 398*m - 132*m - 137*m - 8 as x*m + v*m**4 + w*m**2 + n + f*m**3 and give v.
-15
Rearrange -n**2 + 268*n + 2*n**2 - 540*n + 3*n**2 + 273*n - 35*n**3 to h*n**2 + s + l*n**3 + b*n and give h.
4
Rearrange (2*r**3 + r**3 + 3*r**3)*(-201 - 40 - 171 - 25 - 45) to the form b + q*r + h*r**2 + n*r**3 and give n.
-2892
Express (4*f - 3*f + 0*f)*(-3*f + 0*f + 2*f) + (-94*f - 33 + 33)*(7 + 4*f - 7) as x + p*f + g*f**2 and give g.
-377
Rearrange -688*b + 4417*b**2 - 4415*b**2 + 4 - 4 to the form r*b + x + i*b**2 and give x.
0
Rearrange 69*f**2 - 8*f + 4*f - 3 + 67*f**2 + 69*f**2 - 204*f**2 + 3*f**3 to g*f**2 + w*f**3 + c*f + x and give c.
-4
Rearrange n**2 + 29*n**3 - n - 54*n**3 + 29*n**3 to g*n + i*n**2 + o + f*n**3 and give f.
4
Rearrange -44*d + 318*d + 225*d + 50*d to k*d + l and give k.
549
Express 127*v**3 + 978 + 978 - 1960 + 87*v**3 as j*v**2 + o + i*v**3 + y*v and give o.
-4
Express -48*v + 48*v + 61*v + 112*v + 37*v as k + q*v and give q.
210
Express (2*b - 2*b - 2*b**3)*(-1 + 3*b + 1) + (-160*b - 15*b - 13*b)*(b**2 - 4 + 4)*(-2*b + 4*b - 4*b) as i*b**3 + s*b**4 + h*b**2 + w + u*b and give s.
370
Rearrange 17*r + 44*r - 31*r to the form w*r + q and give w.
30
Express (-2*q + 5*q - q)*(30 + 170 - 14 + (3 - 2 + 1)*(2 - 3 + 2)) in the form j + r*q and give r.
376
Express 3 + 173*h - 34*h - 2*h**2 + 1 - 8 + 1 in the form r*h**2 + c*h + b and give b.
-3
Rearrange 6*y**2 - 4*y**3 + 0*y**2 + 6*y**3 - 8*y**2 + y**3 + 3 - 2*y to c*y**3 + z*y**2 + x*y + v and give v.
3
Express -15*s - 50*s**4 + 5*s**3 + 2 + 25*s**4 + 17*s + 27*s**4 in the form n*s**2 + i + p*s**4 + h*s + r*s**3 and give p.
2
Express -5*a**2 + 0*a + 7*a + 17*a**3 - 5*a + 2*a**2 as k*a + s*a**3 + i + z*a**2 and give z.
-3
Rearrange (-5*w**3 + w**3 - 7*w**3)*(11 + 41436*w - 41434*w + 25) to the form u + f*w + v*w**2 + s*w**4 + b*w**3 and give s.
-22
Express 5 + 24*o + 9*o + 30*o + 75*o in the form l + c*o and give c.
138
Express (1 - 2 - 1 + (-2 + 6 - 2)*(-2 - 4 + 5))*(65*w + 39*w - 23*w) as a + l*w and give l.
-324
Rearrange 22 + 0 - 22 + 700*g**2 to j*g + b + x*g**2 and give x.
700
Express (12 - 29 + 6*f - 4*f)*(-5 + 7*f**2 + 5) as r*f + d + v*f**3 + l*f**2 and give v.
14
Rearrange -3*m**2 + 2 + m**2 + 6*m**2 - 113*m + 51*m to b + r*m + y*m**2 and give y.
4
Rearrange (-z + 5*z - 2*z)*(195 - 1150 - 794 - 77) to the form q*z + h and give q.
-3652
Express -170*n**2 + 40*n**2 - 175*n**2 as k*n**2 + i + a*n and give k.
-305
Express (-2 + 2 + 2*s)*(-348*s**2 + 170*s**2 + 139*s**2) + (-1 + 0 + 0)*(0*s - s + 2*s)*(-4*s**2 + s**2 + 5*s**2) as l + h*s**3 + z*s**2 + p*s and give h.
-80
Rearrange -128*b - 186*b - 75*b + 30*b to the form k + s*b and give s.
-359
Express -1129 - 312 + 510 - 156 + 2*w in the form a*w + x and give x.
-1087
Express -b**2 + 16*b**2 - 6*b**2 - 7*b**2 + 2 + 5*b in the form s*b**2 + r + o*b and give r.
2
Rearrange 3*b**4 + 17*b**3 - 18*b**3 - b**3 - 6*b**4 + 0*b**4 - 49*b**2 - b to the form m + j*b**3 + g*b + a*b**2 + k*b**4 and give a.
-49
Rearrange (4*y + 0*y - 3*y)*(-38 + 69*y - 60*y - 71) to m*y + r + t*y**2 and give m.
-109
Rearrange (20*n - n**2 - 16*n + 12*n)*(-33 + n + 33 - 3*n**2) to the form h*n**2 + g*n**4 + j + a*n + q*n**3 and give q.
-49
Rearrange -18767 + 20*a**2 + 2*a**3 - 2*a + 18768 + 0*a to the form i*a + s*a**2 + z + q*a**3 and give i.
-2
Express 11*o**2 + 41 + o**4 + 1203164*o - 1203164*o as b*o**2 + p*o**4 + z + v*o**3 + k*o and give p.
1
Rearrange 17 + 39 - 56 - 2*k**2 - 62*k to i*k + o + x*k**2 and give i.
-62
Express 27*c + 8 - 11*c**2 + 4 + 7 - 19 as x + k*c + v*c**2 and give k.
27
Express -46 - 7*i**2 - 242 - 5*i**2 - 3*i + 14*i**2 + i as h*i + s*i**2 + d and give s.
2
Express 106*r + 116*r - 6*r + 97*r - 30*r in the form z*r + u and give z.
283
Express (-1 - 1 + 4)*(2 - 2 + 2)*(17 + 17 - 8)*(2 - 4 + 1)*(3*l - 2 + 2) as v*l + i and give v.
-312
Rearrange -6 + 3*d + 4*d**2 + 4 + 5*d + 3*d to the form g*d + o + f*d**2 and give f.
4
Express 17*p**2 + 17*p**2 - 45*p**2 + 10*p**2 - 219 in the form h*p**2
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*l + 22, -6*l = -5*l + 3*s - 18. Suppose -l*q + 6 = -0. What is the units digit of (-3 + 1)/(3/(-24))*q?
6
Suppose -27*o - 27 = 27. Let u(h) = -46*h**3 - 3*h**2 + h - 1. What is the hundreds digit of u(o)?
3
Let y be (12/1 + 0)*(-1)/2. Let f(v) = 2*v**2 + 5*v + 0*v**2 - v. What is the units digit of f(y)?
8
Let j = -13368 + 20050. What is the thousands digit of j?
6
What is the tens digit of 4 - (93/30 - -1) - 874155/(-50)?
8
Suppose -13 = -2*u - 5*o, 3*o - 12 = -u + 4*u. What is the tens digit of (u - 1141/2)*8/(-12)?
8
Let y = 373 - 689. Let s = 1142 + y. What is the tens digit of s?
2
Let r be (-4)/18 + 70/315. Suppose 5*p + r*p - 5*g - 2965 = 0, 1188 = 2*p - g. What is the tens digit of p?
9
Let s = 255 - 114. What is the hundreds digit of s + 21/3 - (-4 - -1)?
1
Let t be 36/(-30)*(3 - (10 + -2)). Suppose 0 = -t*d + 498 + 1302. What is the units digit of d?
0
Let d = 9150 + -6479. Let c = -1623 + d. What is the tens digit of c?
4
Let o(q) = 13*q + 32. Let x be o(0). Let j = 2 + -13. Let y = x + j. What is the tens digit of y?
2
Let i = -7499 + 10069. What is the units digit of i?
0
Suppose 43*y = -32627 + 152081. What is the hundreds digit of y?
7
Suppose -4*h - 3*g + 10130 = 0, -10*h - 5*g = -8*h - 5044. What is the units digit of h?
7
Let q = -1995 + 10869. What is the hundreds digit of q?
8
Let g(v) = 138*v - 33. Let o be g(18). Suppose 18*i + 183 - o = 0. What is the hundreds digit of i?
1
Let k(w) = -16*w + 39. Let p = -16 + 22. Let m be k(p). What is the tens digit of -2 + 0 + 1 - m?
5
Let z(t) = -12*t**3 + 2*t**2 + 24*t + 49. What is the hundreds digit of z(-9)?
7
Suppose -3*w - 4*r = -40, -2*r = -5*w - 0*r + 32. Suppose -x + 5*x + w = -5*d, 4*x - d = 16. Suppose -v = x*v - 948. What is the units digit of v?
7
Let f = -1525 + 4844. What is the thousands digit of f?
3
Let o be (11/33*15)/(-1*2/(-2)). Suppose 75 = u + 11. Suppose -u = 3*p + o*d - 277, -3*p - 2*d = -204. What is the units digit of p?
6
Let l(v) = -v - 2. Let k be l(-5). Suppose 50 = -2*f + 5*d, 3*f - 4*d + 49 = -k*d. What is the units digit of (1 - 127)/(f/10)?
4
Let f = -668 + 514. Let o = f - -353. What is the hundreds digit of o?
1
What is the tens digit of 9402 + 99 + (-1)/((-2)/8*1)?
0
Suppose -17*u + 21*u - 5*x - 32453 = 0, -2*u + 16246 = 4*x. What is the hundreds digit of u?
1
Suppose 9*n - 8*n - 225 = 0. Suppose n + 315 = 5*g. What is the units digit of g?
8
Suppose j + 15 = 19. Suppose -21 = -j*b + 5*q, -5*q - 36 = b - 10. What is the units digit of (163*b*1)/(-5 - -4)?
3
Let b(o) = -139*o**3 + 5*o**2 + 51*o + 305. What is the tens digit of b(-5)?
5
Let w be 2/((-1)/(-4 + 1)). Suppose 0 = -3*i + w, -k - 4*i + 132 = -82. What is the units digit of k?
6
Suppose 2*g + 868 = -4. Let o = -240 - g. What is the tens digit of o?
9
What is the hundreds digit of (-23)/2*((-2119628)/949 + 12/(-26))?
6
Let r(v) = 10*v**2 + 55*v - 34. Let j be r(15). Suppose -5*i + j = 4*k, -k - 3*k + 3040 = 4*i. What is the tens digit of k?
5
Let m be (135/10)/3*-2 + -1. What is the hundreds digit of (27398/(-95))/(4/m)?
7
Let z(v) = -v**3 + 11*v**2 + 3*v + 25. Suppose 0*l - 3 = -l. Suppose -4*y + l*h + 53 = 0, -h + 25 = 2*y - 2*h. What is the units digit of z(y)?
8
Let h = -777 - -1577. Suppose -5*k + 4*k = -5*p + h, 3*p = -4*k + 480. What is the tens digit of p?
6
Suppose -64*o + 60*o = -2*t - 23038, 11504 = 2*o + 4*t. What is the hundreds digit of o?
7
Suppose -2*h = h + y + 3, -9 = -2*h + 3*y. Suppose h = -9*i + 17*i - 4960. What is the tens digit of i?
2
Let g(n) = -177*n + 175. Let r be g(5). Let c = 89 - r. What is the hundreds digit of c?
7
What is the units digit of ((-7384)/20)/(12/(-1200)*8)?
5
Suppose b + 4*d = -3*b - 68, -d - 32 = 2*b. What is the tens digit of (641/(-6))/(b/90)?
4
Suppose 0 = -42*p - 49*p + 1102465. What is the thousands digit of p?
2
Let p(x) = -16*x**3 + 56*x**2 + 464*x + 9. What is the thousands digit of p(-12)?
0
Let t(g) = -706*g - 115. Let x be t(-3). Suppose 5*z - 5*k - x = 242, 4*z + 5*k - 1832 = 0. What is the units digit of z?
3
Let k = 12740 + 1776. What is the units digit of k?
6
What is the hundreds digit of 9 - 466*2222/(-44)?
5
Suppose 5*d - 7726 = -4*i, 18*i - 17*i - 1900 = 4*d. What is the thousands digit of i?
1
Let y(s) = 5841*s - 935. What is the units digit of y(2)?
7
Let q(c) = -3*c**2 + 7*c + 13. Let v be q(21). Let j = -742 - v. What is the hundreds digit of j?
4
Let l(d) = -8*d**3 - 2*d**2 + 24*d - 35. What is the thousands digit of l(-11)?
0
Suppose -3*p - 3*y + 30 = 0, 2*p + 7*y - 2*y - 35 = 0. Suppose -p*h = 2*t - 1286, 1261 = 4*h + 5*t + 239. What is the tens digit of h?
5
Suppose -70*y = -72*y + 50. Suppose 0 = -69*f + 64*f + y. Suppose f*h - 12*h + 336 = 0. What is the units digit of h?
8
Suppose -4*b + 2*b = -18. Let l(p) = 107 - 176 + 17*p + 6*p + 104 - 6*p. What is the tens digit of l(b)?
8
Let z be (-10 - -6) + 0 - 50*-1. Suppose 16*x - z*x = -22200. What is the hundreds digit of x?
7
Let y(i) = -47*i**3 + 5*i**2 + i - 4. Let g be y(-3). Suppose -5*w + 3*c = -973 - 1224, 0 = -3*w - c + g. What is the tens digit of w?
3
What is the units digit of -5*(-20)/(-10) + 7241?
1
Let w(p) = 246*p**2 + 53*p + 76. What is the tens digit of w(-10)?
4
Let h = -93 - -92. Let l be ((-2)/6)/((h/18)/1). What is the units digit of 9/l*3*388/18?
7
Suppose u + 2*u - 17646 + 1785 = 0. What is the units digit of u?
7
Let v(p) = 2 + 30 + 12*p + 7 + 29*p. What is the units digit of v(6)?
5
Let j = -106 - -135. Let o(a) = 13*a - 355. What is the units digit of o(j)?
2
Let t = 788 + -767. Suppose t*d - 23280 - 4776 = 0. What is the tens digit of d?
3
Let f = 12017 + -11906. Let w = -3 + 244. Let g = w - f. What is the units digit of g?
0
Let l = 2833 + -1281. Suppose -l = -0*f - 4*f. Suppose 3*i - 529 = v, -2*v + 314 + f = 4*i. What is the tens digit of i?
7
Let l(j) = 18 + 8 + j**3 + 0*j**3 - 10*j - 75 + 12*j**2. What is the hundreds digit of l(-10)?
2
Suppose -8*c + 11*c = k - 8, 0 = -2*c - 10. Let z(i) = i + 12. Let w be z(k). Suppose 2*d = w*l - 618, 0*d + 3*d = 3. What is the units digit of l?
4
Suppose -4*q = -215*h + 211*h + 199828, -2*q = -5*h + 249779. What is the hundreds digit of h?
9
Let y = 89 + -89. Suppose y = 7*h - 410 + 4. What is the units digit of h?
8
Let w(p) = 1787*p**2 - 4*p + 14. What is the tens digit of w(2)?
5
Suppose -26*n + 27074 = 2*o - 22*n, -4*o + 4*n = -54088. What is the tens digit of o?
2
Let t be 92/(-6) + (-32)/(-24). Let h(s) = s**2 - 19*s - 23. Let f be h(t). Let a = f - 164. What is the tens digit of a?
7
Let d(m) = -218*m - 1780. What is the tens digit of d(-59)?
8
Let f = -44 - -44. Suppose -4*w + 3*v + 388 = 7*v, f = -2*w + v + 197. What is the tens digit of w?
9
Let o(i) = 8*i - 14 - 4*i + 3. What is the units digit of o(5)?
9
Let x(l) = 4*l**2 + 5*l - 9. Let w(i) = -5*i**2 - 6*i + 10. Let f(o) = -5*w(o) - 6*x(o). Let a be f(2). What is the tens digit of (-2 + 20)/(9 - a)?
1
What is the thousands digit of (-2 + -10)*(-63)/180*1345?
5
Let h(t) = t**2 + 52*t + 34. Let v be h(0). Let g = 0 - -40. Suppose -v*m + g = -33*m. What is the units digit of m?
0
Let i = 287 + -287. Suppose -c + 5*z + 8 = i, -5*c + 3*z + 84 = -0*z. What is the tens digit of c?
1
Let m = 58451 - 16926. What is the tens digit of m?
2
Let r(z) = 365*z**2 - z - 79. What is the ten thousands digit of r(-6)?
1
Let i be 3 - ((-13 - -3) + 0 + 3). Let s(k) = k - 21. Let f be s(i). Let x = 81 + f. What is the tens digit of x?
7
Suppose 76746 = 2*c + c + 2*u, 0 = -4*u - 12. Suppose -39*s + 23*s = -c. What is the thousands digit of s?
1
Suppose 0 = -71*r + 69*r + 44. Suppose 3*n + n - 84 = 0. Suppose r*b = n*b + 144. What is the hundreds digit of b?
1
Let w = 19946 + -7263. What is the hundreds digit of w?
6
Let u = -107 - -164. Suppose -3*q = 2*w - u - 265, 218 = 2*q + 2*w. What is the units digit of q?
4
Let c(p) = p**2 + 21*p + 21. Let v be c(-18). Let i = -61 - v. What is the tens digit of 6 + -3 - 3 - i?
2
Suppose 2 = o, -19*r - 4*o + 11384 = -17*r. What is the hundreds digit of r?
6
Let x(q) = -q**3 - 18*q**2 - 45*q - 63. Let h(z) = z**3 - 6*z**2 - 8*z + 33. Let l be h(3). What is the hundreds digit of x(l)?
7
Suppose -k - 25 = -21, 4*y - 12 = k. What is the tens digit of 10452/18*((-7)/(-2) - y)?
7
Let j(a) = -5*a + 52. Let x be j(6)
|
{
"pile_set_name": "DM Mathematics"
}
|
4360?
True
Is 169 a factor of 79160783?
True
Is 2698 a factor of 131380355?
False
Does 16 divide 106187440?
True
Does 1330 divide 103068962?
False
Is 2360398562 a multiple of 94?
True
Is 667180560 a multiple of 30?
True
Is 99 a factor of 11951973?
True
Is 18 a factor of 12218058?
True
Is 119 a factor of 1821706145?
True
Is 58 a factor of 6497450?
True
Is 443 a factor of 11891892?
True
Is 206761339 a multiple of 692?
False
Is 47600 a multiple of 35?
True
Does 14 divide 402541496?
True
Is 143272452 a multiple of 1039?
False
Does 3 divide 6534633?
True
Does 22 divide 46787906?
True
Is 18748950 a multiple of 1650?
True
Does 2 divide 299847343?
False
Is 2117296968 a multiple of 2188?
True
Is 44 a factor of 474253731?
False
Is 340 a factor of 1328732559?
False
Is 98782169 a multiple of 7?
False
Is 105668440 a multiple of 662?
True
Does 5579 divide 40391960?
True
Is 13827193 a multiple of 43?
False
Is 2556 a factor of 94083123?
False
Does 4 divide 8297631?
False
Is 18 a factor of 919448380?
False
Does 185 divide 291423449?
False
Is 121414650 a multiple of 30?
True
Is 75183174 a multiple of 99?
True
Is 129 a factor of 139225214?
False
Is 378001470 a multiple of 2332?
False
Does 19 divide 16667603?
False
Is 8673750 a multiple of 257?
True
Does 3448 divide 14839132?
False
Is 1113680400 a multiple of 4038?
True
Is 19316173 a multiple of 883?
False
Is 13008312 a multiple of 125?
False
Is 22 a factor of 340426196?
True
Is 15 a factor of 797007360?
True
Does 20 divide 203347940?
True
Is 8 a factor of 27369203?
False
Does 5 divide 1976424303?
False
Is 58775947 a multiple of 212?
False
Is 564535240 a multiple of 288?
False
Is 11 a factor of 6280980?
False
Does 1019 divide 53975411?
True
Does 21 divide 158923683?
False
Is 4987 a factor of 573423688?
False
Is 329668182 a multiple of 102?
True
Does 37 divide 140277331?
False
Is 184 a factor of 83112616?
True
Is 678143974 a multiple of 101?
False
Is 377741650 a multiple of 5?
True
Does 575 divide 386664500?
True
Is 1199 a factor of 1526879739?
True
Does 6 divide 34568934?
True
Is 38834424 a multiple of 1467?
True
Is 74120177 a multiple of 357?
False
Does 549 divide 563997321?
False
Is 3738432 a multiple of 9?
False
Is 174 a factor of 294954196?
False
Does 2969 divide 484109857?
False
Does 264 divide 531002736?
True
Does 44 divide 22889680?
True
Does 32 divide 152360992?
True
Is 421802244 a multiple of 92?
True
Does 1377 divide 296724222?
True
Is 148 a factor of 387688516?
True
Is 80547124 a multiple of 197?
False
Does 269 divide 4401177864?
True
Is 9516680 a multiple of 53?
True
Does 1298 divide 14268914?
True
Is 120370805 a multiple of 865?
True
Is 9 a factor of 49963869?
True
Does 709 divide 33704155?
False
Is 1458 a factor of 261578513?
False
Is 29 a factor of 394167565?
True
Is 27 a factor of 48139461?
True
Does 41 divide 722922373?
True
Is 1549 a factor of 199297438?
True
Is 13805913 a multiple of 319?
False
Does 5 divide 91787125?
True
Is 27 a factor of 836272?
False
Is 41 a factor of 754056131?
False
Does 465 divide 19323540?
True
Does 182 divide 5845112?
True
Is 28 a factor of 1726504752?
True
Does 121 divide 19925070?
True
Is 250 a factor of 158384672?
False
Does 13 divide 33907202?
False
Is 37651499 a multiple of 1133?
False
Is 147933039 a multiple of 394?
False
Is 30 a factor of 76973353?
False
Is 81487861 a multiple of 50?
False
Does 202 divide 34031950?
True
Is 3181280 even?
True
Is 1488 a factor of 8105136?
True
Is 4386624 even?
True
Is 192 a factor of 872366976?
True
Is 187651459 a multiple of 771?
False
Does 1770 divide 3662245050?
True
Is 254053940 a multiple of 2564?
True
Is 64 a factor of 76949898?
False
Is 63729148 a multiple of 63?
False
Is 102 a factor of 97636830?
False
Does 16 divide 9852576?
True
Is 7 a factor of 22643333?
False
Is 10395501 a multiple of 93?
False
Is 284 a factor of 16827568?
True
Is 18767332 a multiple of 13?
False
Does 109 divide 594872567?
False
Is 364 a factor of 27504908?
False
Is 8677 a factor of 1932957936?
True
Does 617 divide 6925825?
True
Is 18 a factor of 97864614?
True
Is 10 a factor of 6258830?
True
Is 184 a factor of 7428508?
False
Is 16 a factor of 172136416?
True
Is 50 a factor of 49559450?
True
Is 459 a factor of 83153817?
True
Does 5597 divide 105923225?
True
Does 2361 divide 17923379?
False
Does 101 divide 155526567?
True
Is 2052 a factor of 231674904?
True
Does 83 divide 6499066?
True
Does 194 divide 135988036?
False
Is 1691664775 a multiple of 15?
False
Is 1275667620 a multiple of 27?
False
Is 103 a factor of 202545091?
False
Does 3 divide 704622?
True
Is 15 a factor of 51504045?
True
Is 1813 a factor of 17535776?
False
Is 8238 a factor of 1400089577?
False
Does 15 divide 161173440?
True
Is 133 a factor of 7538573?
True
Does 90 divide 25987294?
False
Is 298 a factor of 23977378?
True
Is 335816598 a multiple of 49?
False
Does 1709 divide 40247947?
False
Is 1536587227 a multiple of 146?
False
Does 32 divide 66603984?
False
Is 2362648950 a multiple of 2745?
True
Is 356 a factor of 616258810?
False
Does 2273 divide 1303115200?
False
Is 916 a factor of 611434580?
True
Does 12 divide 152539795?
False
Is 335031852 a multiple of 102?
True
Does 27 divide 293889276?
True
Is 13 a factor of 514913802?
True
Is 39 a factor of 2524847?
False
Does 3462 divide 97264890?
True
Is 670 a factor of 141841011?
False
Does 141 divide 28221855?
True
Does 37 divide 9171999?
False
Does 11 divide 45487234?
False
Does 2 divide 669062?
True
Is 76655291 a multiple of 126?
False
Does 196 divide 123833868?
False
Does 39 divide 11680910?
False
Is 110 a factor of 11914339?
False
Is 10 a factor of 153440520?
True
Is 50698254 a multiple of 18?
False
Does 92 divide 4636547?
False
Is 486 a factor of 869019030?
True
Is 60 a factor of 610882620?
True
Is 44491973 a multiple of 652?
False
Is 707191760 a multiple of 10?
True
Does 22 divide 168419135?
False
Is 435855160 a multiple of 2764?
True
Does 2077 divide 35190611?
True
Does 6 divide 551682?
True
Does 205 divide 39999805?
True
Is 104379863 a multiple of 642?
False
Does 89 divide 113471707?
True
Does 6 divide 107407530?
True
Is 27845648 a multiple of 8?
True
Is 955215712 a multiple of 7559?
True
Does 13 divide 490792120?
True
Does 4766 divide 486859004?
False
Is 219313799 a multiple of 1979?
False
Is 50726500 a multiple of 2750?
True
Is 678 a factor of 2624905476?
True
Is 7 a factor of 77618807?
True
Does 19 divide 33153534?
False
Does 816 divide 61832400?
True
Is 147917384 a multiple of 45?
False
Is 97924050 a multiple of 90?
True
Is 11 a factor of 36610002?
True
Does 564 divide 25075734?
False
Is 42 a factor of 635450096?
False
Does 164 divide 35573896?
True
Does 217 divide 155068417?
True
Does 13 divide 918066032?
True
Does 703 divide 3909738?
False
Is 980587 a multiple of 719?
False
Does 33 divide 285753633?
True
Is 10507280 a multiple of 290?
True
Does 90 divide 2936326394?
False
Is 256 a factor of 156936819?
False
Is 4128 a factor of 485849088?
True
Does 7 divide 33105127?
False
Is 854 a factor of 523572822?
False
Is 749897460 a multiple of 54?
True
Does 252 divide 31928034?
False
Is 27751320 a multiple of 942?
True
Does 30 divide 330002048?
False
Does 12 divide 788631560?
False
Does 208 divide 5942768?
True
Does 1199 divide 72752922?
True
Does 1042 divide 21807540?
False
Is 514 a factor of 29352946?
False
Is 50 a factor of 48606850?
True
Is 249130362 a multiple of 141?
True
Is 114165904 a multiple of 3628?
True
Is 218 a factor of 639539899?
False
Is 35 a factor of 675955?
True
Is 160 a factor of 44829440?
True
Does 175 divide 77712775?
True
Is 55627266 a multiple of 6?
True
Is 1916767292 a multiple of 484?
True
Does 2 divide 170508051?
False
Is 317174130 a multiple of 273?
True
Does 583 divide 14693349?
True
Is 11 a factor of 647378413?
True
Is 228260634 a multiple of 511?
True
Does 161 divide 276707480?
True
Is 23890005 a multiple of 653?
True
Is 13 a factor of 186243523?
False
Is 408 a factor of 255631501?
False
Is 50360800 a multiple of 35?
True
Is 61448623 a multiple of 188?
False
Is 1240 a factor of 1247440?
True
Is 1709 a factor of 1079527448?
True
Is 4 a factor of 32350481?
False
Does 34 divide 10207548?
True
Is 648 a factor of 17493919?
False
Does 2352 divide 5453828257?
False
Does 127 divide 75240583?
False
Is 53840393 a
|
{
"pile_set_name": "DM Mathematics"
}
|
e thousand.
1099000
Let z = -780 + 1151. Let x = 371.000126 - z. Round x to five decimal places.
0.00013
Let i = -14545.3 + 14188.815. Let p = i - -0.485. Let g = p + 355.9853. Round g to two dps.
-0.01
Suppose -2*d - 4*j + 25691712 = -6*d, 0 = d + j + 6422934. Let x = d - -4056391. Let i = x - -866540. What is i rounded to the nearest one million?
-2000000
Suppose 0 = 3*s - 6, -s = 4*z - 107211 - 106615. Let i = 26356 - z. Round i to the nearest 1000.
-27000
Let v(y) = 2*y - 26. Let k be v(13). Suppose -57*g + 53*g - 13360 = k. What is g rounded to the nearest 100?
-3300
Let d = -0.2701 - 0.0529. Let p = -0.3229753 - d. What is p rounded to 6 dps?
0.000025
Let l = -358.64 - -460.6. Round l to 0 dps.
102
Let n = -8.1574 + -0.0306. Let m = -8.99 - n. What is m rounded to two dps?
-0.8
Let q = -86.012 + 86. Let d = 3.6 + -3.624. Let o = q - d. Round o to three decimal places.
0.012
Let o = -155002 - -154921.571. Let r = o + 141.5. Let f = -61 + r. Round f to 2 dps.
0.07
Let x = 43.6 - 22.23. Let u = 5.52 - x. Round u to 0 decimal places.
-16
Suppose 49*t + 7063777 + 28228034 = -8808189. Round t to the nearest ten thousand.
-900000
Let i = 32951058693 + -32951057853.99999294. Let f = i - 839. What is f rounded to 7 decimal places?
0.0000071
Let z(o) = o**3 + 18*o**2 + 44*o - 11. Let q be z(-15). Suppose 6 = 2*v + q. Let r be 2839996 - (v/3)/((-6)/72). What is r rounded to the nearest 100000?
2800000
Suppose 40*m - 38*m = 9120000. Suppose r - m = -11*r. Round r to the nearest one million.
0
Let h = 486 - 877. Let g = 2472869039.00000383 + -2472869430. Let z = g - h. What is z rounded to seven decimal places?
0.0000038
Let f(d) be the third derivative of 77*d**4/24 - 38*d**3/3 + d**2 - 44*d. Let l be f(-7). Round l to the nearest one hundred.
-600
Let f(l) = -92088*l**2 + 21*l + 105. Let a be f(-5). What is a rounded to the nearest ten thousand?
-2300000
Let m = -299 + 299. Suppose m = -34*l - 2587626 - 9183174. What is l rounded to the nearest 10000?
-350000
Let p = 16915 + -15890. What is p rounded to the nearest ten?
1030
Let s = 366.542 + -366. Let f = s + -0.5703. What is f rounded to 2 decimal places?
-0.03
Let n(q) = -8069*q**3 + q**2 - 5*q - 15. Suppose 9*f + 8*f + 187 = 0. Let y be n(f). What is y rounded to the nearest 1000000?
11000000
Let d = 8308 - 8308.027193. Let k = d + 0.0275. Round k to 5 decimal places.
0.00031
Let k = 140056 - 199829. Let z = k + 59710.806. Let l = 62 + z. What is l rounded to 2 dps?
-0.19
Let s = -32367.80299064 - -32367.69. Let t = 0.113 + s. What is t rounded to 7 decimal places?
0.0000094
Let k = -12.4 - -11. Let f = -2.15 - k. Let i = f - -0.74999938. What is i rounded to 7 decimal places?
-0.0000006
Let k = -514 - -511.91. Let x = k + 2.090022. What is x rounded to five decimal places?
0.00002
Let i(s) = -2*s - 12. Let x be i(-13). Let n be (-4)/(-1) + (6 - x) - -142. Suppose n*p + 34000 = 133*p. Round p to the nearest 1000.
-7000
Let j be 1652/3 + (1 - (-8)/(-12)). Suppose -3*v - 3*g - 775 = 2060, -953 = v + 3*g. Let u = v + j. Round u to the nearest 100.
-400
Let h = -4259.0318 + 4262. What is h rounded to two dps?
2.97
Let h = -5.673467 + 5.68. What is h rounded to 3 dps?
0.007
Let v(g) = -7676*g - 58. Let c be v(-2). Let t be (-100)/(c/(-5100) + 3). Round t to the nearest 10000.
-90000
Let y = -760.00003171 - -760. What is y rounded to five decimal places?
-0.00003
Suppose 5*r - 7*r + 250220 = 0. What is r rounded to the nearest ten thousand?
130000
Let s = 507.5 + -504.035. Round s to the nearest integer.
3
Let j = -626673964 + 1120083964. What is j rounded to the nearest 1000000?
493000000
Let y = -45.44793 - -45.253. Round y to two dps.
-0.19
Let w = 176 - 182.5. Let h = -6.498872 - w. Round h to 4 decimal places.
0.0011
Let x = 24 - -194. Let p = x + -198.7. Let y = p - 19.30081. Round y to four decimal places.
-0.0008
Let c = -5.877 - 5.286. Let a = 11 + c. Let n = a - -0.162535. What is n rounded to five dps?
-0.00047
Let c be (-2)/2*(-2 + -2199). What is c rounded to the nearest 1000?
2000
Let n = 0.174 + -0.393. Let s = n + 0.218999864. Round s to 7 decimal places.
-0.0000001
Let b = -0.8116 + -0.9136. Round b to two dps.
-1.73
Suppose -m + 32955995 = h, -9*m + 65911995 = -7*m + h. What is m rounded to the nearest one hundred thousand?
33000000
Let f = -9135.6144 + 9138. What is f rounded to one dp?
2.4
Let b = 8438.7 - 8438.70094366. What is b rounded to four dps?
-0.0009
Let q = 21360 - 11447. Round q to the nearest 100.
9900
Let j = 33915.0000034498 - 33915. What is j rounded to 7 decimal places?
0.0000034
Suppose -4*i = 20, 22 = 4*y - 6*i + 4*i. Suppose y*q + 3*v = -0*q + 326850, 0 = -5*q - 4*v + 544752. Let m = -203852 + q. Round m to the nearest 10000.
-90000
Let r = 48 - -26. Let u = -73.999646 + r. Round u to four decimal places.
0.0004
Let b = 668 + -359. Let j = -309.688 + b. Round j to two dps.
-0.69
Let x = 1862298 - 1850950.406. Let b = 11357 - x. Let n = 9.4 - b. Round n to 3 dps.
-0.006
Let d = 226.85189 - -12632.79911. Let j = -12851 + d. Let q = j - 8.6. Round q to 2 decimal places.
0.05
Let z = -40 + -86. Let k = z - -118.2. Let w = -1.36 - k. What is w rounded to the nearest integer?
6
Let v = -29963.24 - -29974.3399764. Let s = -11.1 + v. Round s to six decimal places.
-0.000024
Let s = -57 + 26. Let h = s - -8.5. Let t = 22.5000286 + h. What is t rounded to 6 dps?
0.000029
Let y = -3.29 + 3.383. Let x = -46.95640967 - -46.86341. Let k = x + y. Round k to six dps.
0
Let o = 11.67 + -11.668715. What is o rounded to four decimal places?
0.0013
Let i = 1320 - 455. Let p = i - 865.000000531. What is p rounded to 7 dps?
-0.0000005
Let b = -371.95 + 371.949921385. What is b rounded to 5 decimal places?
-0.00008
Let b = -3.6 - -0.36. Let v = b + 6.13. Round v to 0 dps.
3
Let v = -15830 + 51885. Suppose -4*i - v = -13795. Let u = 1185 + i. Round u to the nearest 100.
-4400
Let p = 0.815423 - 0.97817. Let o = p - -0.159. What is o rounded to 4 dps?
-0.0037
Let y be 2*2*(-63)/12. Let s be (6/5)/(y/350). Let d be (-12)/s - (-464)/10. What is d rounded to the nearest 10?
50
Let y = -17752.00014334 - -17752. Round y to six decimal places.
-0.000143
Let y = 87.9 - -56. Round y to the nearest 10.
140
Let g = 17.3099994674 + -17.31. What is g rounded to 7 decimal places?
-0.0000005
Let w be 0/(-3)*2/(-4). Suppose 5*d + 77595 = -2*z - z, 4*z - 3*d + 103431 = w. Round z to the nearest one thousand.
-26000
Let f = -226.73 - -6.02. Let g = 218 + f. Let a = 2.71000222 + g. Round a to seven dps.
0.0000022
Let n be 7052/5 + (-4)/10. Let c = -1400 - -1414. Suppose 11*m + n = c*m. Round m to the nearest one hundred.
500
Suppose 12552040 = 5*l - 2*a, 0 = -5*l + 4*a + 12511264 + 40766. Suppose -16*p + l = 81610. What is p rounded to the nearest ten thousand?
150000
Let n = -13.27 - -0.07. Let l = -23 - n. Let m = l - -16. Round m to zero decimal places.
6
Let t = 65.116654 - 11.811364. Let v = t + -53.33. What is v rounded to three dps?
-0.025
Let z = -17031 - -17030.72707. What is z rounded to three dps?
-0.273
Let q = -1264.3252 + 1379.32286. Let h = -3307 + 3422. Let i = q - h. What is i rounded to 4 dps?
-0.0023
Let m(y) = 92446*y**3 - 20*y**2 + 8*y + 14. Let v be m(-7). What is v rounded to the nearest 1000000?
-32000000
Let d be (-1)/6 + 3838/(-12) + -1. Let h = 218 + d. Let c = h - -13. Round c to the nearest one hundred.
-100
Let k be (5 + -3)/(-2) + 1. Suppose 4*f + h - 1496 = k, -5*f + 3*f = 4*h - 748. Let a = f + -221. What is a rounded to the nearest 10?
150
Let f = -390.6373951 - -390.64. What is f rounded to four dps?
0.0026
Let k = 19462651152 - 19462649778.9999409. Let f = 1373 - k. What is f rounded to six decimal places?
-0.000059
Let x = -0.5909 - 657.2091. Round x to the nearest one hundred.
-700
Let f = -3.9 + 4.25. Let h = 0.59 - f. Let x = 0.2399945 - h. What is x rounded to 6 decimal places?
-0.000006
Suppose 16*m - 655424 = 1393856. What is m rounded to the nearest ten thousand?
130000
Let d = -15355.89198 - -15357.6. Let q = 1.728 - d. What is q rounded to three decimal places?
0.02
Let w = -7.24 + 2.6. Let q = w - -194.64. Let a = -189.99999737 + q. What is a rounded to 7 dps?
0.0000026
Let n = -63.13 - 329.97. What is n rounded to the nearest ten?
-390
Let q = 3355.580
|
{
"pile_set_name": "DM Mathematics"
}
|
ing d is positive.
d**(485/3)
Simplify t**(-16)/t**(-17) assuming t is positive.
t
Simplify ((a*a*a*a/a**(3/5))/(a/a**(-3)))/(a**5/a**7) assuming a is positive.
a**(7/5)
Simplify (k*k**(-1/4))**(-13) assuming k is positive.
k**(-39/4)
Simplify n**(-3/22)/n*n**(-18) assuming n is positive.
n**(-421/22)
Simplify (b**(-22))**(6/5) assuming b is positive.
b**(-132/5)
Simplify (r**(-3)*((((r*r**(2/3))/r)/r)/r)/r)**(-5/6) assuming r is positive.
r**(40/9)
Simplify i**(-29)/(i**(-9)/i) assuming i is positive.
i**(-19)
Simplify ((s/((s*s*s*s**7)/s))/s*s/s**(-1/4))**(-31) assuming s is positive.
s**(961/4)
Simplify (((y/(y/y**(-5/3)))/y)/(y**(-1/8)/y))**(-37) assuming y is positive.
y**(1369/24)
Simplify ((x**(-1/4)/x)/x*x*x**(-2/3))/((x*x*x/x**(-1/5))/x*x*x*x**1/x*x) assuming x is positive.
x**(-427/60)
Simplify (((o*o/(o/(o**(-2/33)*o*o)))/o)/o*o/o**6)/(o**(-2/13)*o**(-1)*o) assuming o is positive.
o**(-1676/429)
Simplify ((s/((s/(s/((s**(-2)/s*s)/s))*s)/s))/(s**(-2)/s))**(-33) assuming s is positive.
s**(-231)
Simplify ((i**(-2/17)/i)/i**(-1))/(i**(2/9)*i)**43 assuming i is positive.
i**(-8059/153)
Simplify c**(-8)*c/c**(-2/9) assuming c is positive.
c**(-61/9)
Simplify (x**(-4/13))**(-32) assuming x is positive.
x**(128/13)
Simplify r*r*r**(-5)*r*r**(-4/11) assuming r is positive.
r**(-26/11)
Simplify h/(h*h**(-1/10)*h)*h*h**5*((h**2*h)/h)**38 assuming h is positive.
h**(811/10)
Simplify ((a**(-11)*a)/(a*((a**(2/9)*a)/a)/a))**(-41) assuming a is positive.
a**(3772/9)
Simplify ((d*(d*d/(d/(d/(d**(-1)/d))))/d)/d)**(1/16)/(d*d**1*d)**(2/53) assuming d is positive.
d**(63/848)
Simplify (((p/(p/(p*p/(p*p**9*p*p*p))))/p)**(1/34))**(2/133) assuming p is positive.
p**(-12/2261)
Simplify ((u*u*u**(3/4)/u)**(-11))**34 assuming u is positive.
u**(-1309/2)
Simplify (d/d**(-20))**(16/9) assuming d is positive.
d**(112/3)
Simplify q**0*q*q*q**(2/15)*q*q*(q/(q*q**(-1)*q*q))**39 assuming q is positive.
q**(-523/15)
Simplify i**(-1/29)*i**16 assuming i is positive.
i**(463/29)
Simplify v*v**(2/5)*v**(-10)*v*v**(1/6)*v**(-3/2) assuming v is positive.
v**(-134/15)
Simplify a*(a*a/a**(-14)*a*a)/a*a*a*a**(-2/61)*a assuming a is positive.
a**(1279/61)
Simplify ((r*r*r/((((r*r**3)/r)/r)/r)*r)/(r*r/r**(4/3)))**(-2/9) assuming r is positive.
r**(-14/27)
Simplify l*l*l**(-4/5)*l**(1/3)*l*l*l**(2/25)*l**(1/2) assuming l is positive.
l**(617/150)
Simplify c**(-1)/(c*(c/c**(1/3))/c)*(((c/(c*(c**(2/7)/c)/c*c*c))/c)/c)**36 assuming c is positive.
c**(-1763/21)
Simplify (q/q**(-1/5))/(q/(q*q**(5/2)))*(q/q**(-1/6)*q)**(-5/3) assuming q is positive.
q**(4/45)
Simplify (((s/s**5*s*s*s)/s)/s*s**(-2)*s*s)/((((s**0/s)/s)/s)/s*s/((s**1/s)/s)) assuming s is positive.
1/s
Simplify (q**(-15)*q)/q*q*q*((q/(q*q**(5/6)/q*q))/q)/q*q assuming q is positive.
q**(-89/6)
Simplify (((m*m**(-2/7)*m)/m)**2)**(2/27) assuming m is positive.
m**(20/189)
Simplify r**0*r**2*r**1*r*r*r**(3/4)*r*r*r assuming r is positive.
r**(35/4)
Simplify (s**(-1/4)/s)**(-5)/((s/s**(-6))/(s/(s*s**(-1/4)/s*s*s*s)*s)) assuming s is positive.
s**(-3/2)
Simplify (l**2/l)**(-1/12)/(((l*l**(-6))/l)/l**(-2/15)) assuming l is positive.
l**(347/60)
Simplify (r*r/(r/(r**6/r)))**(-49) assuming r is positive.
r**(-294)
Simplify (o/o**0)**(-13)/(o**(-1))**(-3/7) assuming o is positive.
o**(-94/7)
Simplify (q*q**0*q*q**(-3/4))**32 assuming q is positive.
q**40
Simplify y**13/(y**21*y) assuming y is positive.
y**(-9)
Simplify (i*i/(i*i*i**(2/5))*(i**(-1/5)/i)/i)/(i*i**(-1))**9 assuming i is positive.
i**(-13/5)
Simplify y**(-2/23)*y**(2/9) assuming y is positive.
y**(28/207)
Simplify z**22/z*z**(-20) assuming z is positive.
z
Simplify ((x/((x/(x*(x**1*x)/x))/x)*x)/x)**(-1/12)/(x**0*x*x**5/x) assuming x is positive.
x**(-21/4)
Simplify v/(v/v**2)*v*v*v/v**8*(v*v*(v/v**1)/v*v)**(-44) assuming v is positive.
v**(-91)
Simplify (o**(-2/21))**(-2) assuming o is positive.
o**(4/21)
Simplify (d**11*d)/(d*d**(-6/19)) assuming d is positive.
d**(215/19)
Simplify (p**(1/5)*p/(p**1*p))**(-3/50) assuming p is positive.
p**(6/125)
Simplify r**(-1/2)/r*r/(r*r/(r*r**29*r)*r) assuming r is positive.
r**(55/2)
Simplify (h**(-2))**(-19)/((((h*h**(-4/5))/h*h)/h)/(h**3*h*h)) assuming h is positive.
h**(219/5)
Simplify s**22*s*(s*s**15*s)/s assuming s is positive.
s**39
Simplify t**(2/29)*t**(1/12) assuming t is positive.
t**(53/348)
Simplify (z**(-34)*z*z*z)/(z/(z/z**36)) assuming z is positive.
z**(-67)
Simplify ((t**(-1)*t)/t*t)/((t/(t**22/t)*t)/t) assuming t is positive.
t**20
Simplify r/(r/(r*r**(1/4))*r)*r*r**(-1/5) assuming r is positive.
r**(21/20)
Simplify (b/(b/(b*(b*b*b**(-5))/b)*b))/(b*b**(-3/5)*b) assuming b is positive.
b**(-27/5)
Simplify (c**6*c)/c*c*c**(4/23)*c assuming c is positive.
c**(188/23)
Simplify ((r*r**(2/3))/r)/(r**(-2)/r*r)*(r**(-2))**(-21/2) assuming r is positive.
r**(71/3)
Simplify (a/a**(-7)*a*a*a/(a*a**(-4)/a))**23 assuming a is positive.
a**345
Simplify a*a/(a*a**(1/24))*a*a*a**(-2/21)/a assuming a is positive.
a**(313/168)
Simplify f**(-5/4)*f**0*(f**(-1/4)*f)/((f*f*f/(f**(2/5)*f*f*f))/f) assuming f is positive.
f**(9/10)
Simplify (w**(4/7)*w**4)/(w/((w**(-1/5)*w)/w)*w*w**(2/7)) assuming w is positive.
w**(73/35)
Simplify (x**(-32)/x)/(((x**(12/5)/x)/x)/x) assuming x is positive.
x**(-162/5)
Simplify (j**(-1))**(-6/17)*((j/(j/((j*j**(-2/11))/j)))/j)/j**(1/6) assuming j is positive.
j**(-1117/1122)
Simplify y/y**(-3/8)*y*(y/(y/(y**(-4/5)*y*y)))/y*y*(y**(-5/3)*y*y)/y*y*y/y**(-2/21) assuming y is positive.
y**(1401/280)
Simplify (s*s**(-3/7)*s*(s**(-2/13)*s)/s*s)/(s/(((s**(1/3)*s)/s)/s*s))**(7/8) assuming s is positive.
s**(2003/1092)
Simplify (i**(-1/2)/i)**(-1/13)*(((i*i**(2/5)*i)/i)/i)/(i/i**(1/2)) assuming i is positive.
i**(1/65)
Simplify (u**(-2/3)*u)**(-35/2) assuming u is positive.
u**(-35/6)
Simplify (p/p**0)**(1/29)/((p*p**(2/13))/p**1) assuming p is positive.
p**(-45/377)
Simplify ((f/(f**(-3/4)/f*f))/(f/f**6))**(-1/12) assuming f is positive.
f**(-9/16)
Simplify (((b*b**(-1))/b)**(19/2))**20 assuming b is positive.
b**(-190)
Simplify d/((d/(d/(d**(2/19)/d)))/d)*d**(2/9)*(d*d**(1/7))/(d*(d*d**(2/7))/d*d*d) assuming d is positive.
d**(1166/1197)
Simplify r**4/((r*r**(1/7))/r)*r*(r**(1/3)*r)/r*r*r*r/(r**(-3/7)*r)*r assuming r is positive.
r**(181/21)
Simplify ((p*p**(-2))/((p*p/(p**1*p)*p)/p))/(p*p**(-2/5)*p*p**(-1)*p) assuming p is positive.
p**(-13/5)
Simplify i**3*i**(1/5)*(i**(-1/5))**46 assuming i is positive.
i**(-6)
Simplify ((p**(2/5)/p*p)/p*p)/p*p*p*p**(-1/2)/p*(p*p**(3/7)/p)/p**(-5) assuming p is positive.
p**(373/70)
Simplify a/a**7*a**(-3)*a**(-8)*a*a*a*a**(2/5)*a*a*a assuming a is positive.
a**(-53/5)
Simplify o*o**(-21)*o**(-23) assuming o is positive.
o**(-43)
Simplify f**(-1/21)*f*f**(2/11) assuming f is positive.
f**(262/231)
Simplify m**(-1/4)*m**(-1/7)*(m**(2/11)/m)/m**(-2/3) assuming m is positive.
m**(-503/924)
Simplify (f**(-4)*f**(2/5))**(-6/29) assuming f is positive.
f**(108/145)
Simplify (i**(-12)/i)/(i*i**(5/4)) assuming i is positive.
i**(-61/4)
Simplify u**(-11/3)*u**(-17) assuming u is positive.
u**(-62/3)
Simplify ((r**(2/17)*r)/r**6)**43 assuming r is positive.
r**(-3569/17)
Simplify y**20*y**(-29)*y assuming y is positive.
y**(-8)
Simplify (c/(c/c**1))**(-16)/((c/(c*c/c**0))/(c/(c*(c*(c*c*c*c**7)/c)/c))) assuming c is positive.
c**(-24)
Simplify (b**(-3/7)*b*b*b**(2/7)*b*b)**31 assuming b is positive.
b**(837/7)
Simplify (p**(2/5)/p)**41*((p/p**(9/2))/p)/p*p**(-6) assuming p is positive.
p**(-361/10)
Simplify (q**(-2/7)/(q**(5/2)/q))/(q*q**(-2))**(-47) assuming q is positive.
q**(-683/14)
Simplify z**14*z**(-31)*z*z assuming z is positive.
z**(-15)
Simplify (q/(q/(q**(-2)*q)))**(-18)/((q/(q**(-1/2)/q*q*q*q*q))/q)**(-9) assuming q is positive.
q**(-9/2)
Simplify d*d/(d*d**(1/17))*d/(d/d**(-10)) assuming d is positive.
d**(-154/17)
Simplify (k**(2/7))**(-17)/(k*k**0*k/(k/((k**(1/5)*k)/k))) assuming k is positive.
k**(-212/35)
Simplify (a**3)**(-12/5) assuming a is positive.
a**(-36/5)
Simplify (c/c**(1/10)*c**(-3))**29 assuming c is positive.
c**(-609/10)
Simplify (q**(-14)*q)**(4/21) assuming q is positive.
q**(-52/21)
Simplify (m*m*(m**(6/11)/m)/m*m)**(-20) assuming m is positive.
m**(-340/11)
Simplify (f**1)**(-9/4)/(f*f**(-2/9)*f*f**(1/8)) assuming f is positive.
f**(-299/72)
|
{
"pile_set_name": "DM Mathematics"
}
|
-1211
In base 16, what is 1 - -ce?
cf
In base 2, what is -1 - -10000011?
10000010
In base 15, what is 15 + 2b?
41
In base 14, what is -3 + 11?
c
In base 12, what is -69a - 4?
-6a2
In base 8, what is -1 - -101?
100
In base 10, what is -272 + -1?
-273
In base 9, what is -2 + 568?
566
In base 8, what is 1 + 1541?
1542
In base 8, what is 2 + 221?
223
In base 16, what is -703 - 3?
-706
In base 10, what is -68 - -16?
-52
In base 7, what is 35 - -24?
62
In base 9, what is 124 + -4?
120
In base 9, what is 3 + -42?
-38
In base 6, what is -1 + 2025?
2024
In base 2, what is 1111001101 - 101?
1111001000
In base 12, what is 7 + 4a?
55
In base 4, what is 12130 - -1?
12131
In base 15, what is -1 + 63?
62
In base 14, what is 3 - 38b?
-388
In base 6, what is 3 + -12523?
-12520
In base 6, what is -12 + 513?
501
In base 12, what is 1892 - 1?
1891
In base 11, what is 2 + 421?
423
In base 15, what is -2 + 15?
13
In base 13, what is -6 - 309?
-312
In base 6, what is -12 - -105?
53
In base 8, what is -143 + 3?
-140
In base 5, what is 3 + -43?
-40
In base 4, what is -213 - 30?
-303
In base 12, what is 2 - 233?
-231
In base 16, what is 3 - -4b?
4e
In base 5, what is 4 + 14414?
14423
In base 16, what is -244 - -1?
-243
In base 10, what is 58 + 66?
124
In base 13, what is 22 + -129?
-107
In base 15, what is -13b4 + 2?
-13b2
In base 16, what is -1e + e?
-10
In base 13, what is 4 + 302?
306
In base 14, what is 2 - -80?
82
In base 4, what is -1130 - 102?
-1232
In base 3, what is 1202 - -20122?
22101
In base 9, what is -1 + -100?
-101
In base 13, what is -14 - 2?
-16
In base 3, what is 12 - 1012?
-1000
In base 3, what is -102021 - 102?
-102200
In base 6, what is 312 + -3?
305
In base 4, what is 1 + 110?
111
In base 10, what is 33266 + -3?
33263
In base 15, what is 1b + -d?
d
In base 6, what is -4034 + -3?
-4041
In base 4, what is -2 + -2100?
-2102
In base 4, what is -3 - 10?
-13
In base 14, what is 10 + -14?
-4
In base 13, what is 2 - 3a?
-38
In base 4, what is -102301 - -11?
-102230
In base 14, what is 1 - -2b?
2c
In base 15, what is -16 + -c?
-23
In base 16, what is -4a + 5?
-45
In base 13, what is -2 + 2a5?
2a3
In base 9, what is -1 + -30?
-31
In base 11, what is -1 - 19?
-1a
In base 7, what is 1 - 30?
-26
In base 15, what is -2b - 5?
-31
In base 13, what is 4c5 + 3?
4c8
In base 4, what is -30 + 2303?
2213
In base 2, what is -11 - 101111?
-110010
In base 3, what is -211 - -111?
-100
In base 2, what is -111 - 100011?
-101010
In base 15, what is 1 - 13?
-12
In base 4, what is 201003 - -10?
201013
In base 8, what is -762 + 4?
-756
In base 2, what is -10011 - -110111?
100100
In base 10, what is 32 - -3?
35
In base 7, what is -3 + -11221?
-11224
In base 5, what is -44 + -1032?
-1131
In base 8, what is 47 - -20?
67
In base 13, what is c - -9?
18
In base 16, what is 94 - -5?
99
In base 10, what is -2 - -3?
1
In base 2, what is 101 - -100001100111?
100001101100
In base 2, what is -110111111 + -100?
-111000011
In base 12, what is 4 - 23?
-1b
In base 5, what is -13144 - 1?
-13200
In base 6, what is -133 + 14?
-115
In base 11, what is a9 + -5?
a4
In base 8, what is 3051 + 11?
3062
In base 14, what is 3 - 118?
-115
In base 12, what is 52 + 0?
52
In base 7, what is 2340 + 10?
2350
In base 9, what is 30 + -38?
-8
In base 10, what is -2 + 100?
98
In base 4, what is 1 - -1333?
2000
In base 5, what is 1323 - 10?
1313
In base 11, what is -60 + 3?
-58
In base 14, what is -96 + 9?
-8b
In base 6, what is -3 + -4451?
-4454
In base 4, what is -302 + -23?
-331
In base 11, what is 37 - 1?
36
In base 10, what is -2 - -666?
664
In base 10, what is 116 + 6?
122
In base 8, what is -126 - 6?
-134
In base 2, what is -10 + 1000110?
1000100
In base 11, what is 1390 + 3?
1393
In base 4, what is -100021 - 10?
-100031
In base 4, what is 11213 + -3?
11210
In base 16, what is 32f + -2?
32d
In base 6, what is -110 + 1524?
1414
In base 6, what is 0 - -20?
20
In base 16, what is a + -2?
8
In base 11, what is 4 + -137?
-133
In base 10, what is -785 + 0?
-785
In base 5, what is 4 - -20312?
20321
In base 4, what is 22 + -30000?
-23312
In base 16, what is 31e - 5?
319
In base 10, what is 111 + -3?
108
In base 14, what is 0 - -d8?
d8
In base 7, what is -4 - -151?
144
In base 16, what is 178 + -2?
176
In base 7, what is -3 - -2240?
2234
In base 3, what is -12202 - 10?
-12212
In base 8, what is 17544 + -3?
17541
In base 9, what is 46 - -212?
258
In base 14, what is 3 + 85c?
861
In base 8, what is -74 - 73?
-167
In base 10, what is 1 + -150?
-149
In base 13, what is 8 + -15a?
-152
In base 12, what is 0 - -127?
127
In base 6, what is 4 + 31555?
32003
In base 16, what is -d + 0?
-d
In base 12, what is -9 - -1b?
12
In base 4, what is -202 - -203?
1
In base 6, what is 5 + 153?
202
In base 12, what is -91a + 4?
-916
In base 8, what is -1 + -50?
-51
In base 10, what is -210 + 4?
-206
In base 6, what is -3 - -241?
234
In base 2, what is 100 + -10001100?
-10001000
In base 9, what is -3 + -277?
-281
In base 15, what is -250 + 4?
-24b
In base 4, what is -2 + 13021?
13013
In base 3, what is 1112221 - 0?
1112221
In base 2, what is 1011110 - 0?
1011110
In base 4, what is 11002 - -133?
11201
In base 9, what is -204 - -33?
-161
In base 6, what is -23 - -51?
24
In base 9, what is 1 + 205?
206
In base 10, what is 2573 - 0?
2573
In base 8, what is 2 - -30?
32
In base 9, what is -3133 + 5?
-3127
In base 5, what is -10444 + 4?
-10440
In base 6, what is 52 + -511?
-415
In base 13, what is 39 + -2?
37
In base 7, what is -4 - 3245?
-3252
In base 15, what is 3bb - -3?
3be
In base 3, what is -11200 + -11?
-11211
In base 2, what is -1100000 + -111?
-1100111
In base 14, what is 4 + 1018?
101c
In base 10, what is -2 - 76?
-78
In base 10, what is -4 + 177?
173
In base 14, what is 9a + -1?
99
In base 6, what is 10011 - 1?
10010
In base 14, what is -b + -2?
-d
In base 5, what is -12444 - 2?
-13001
In base 14, what is -80 + 3?
-7b
In base 5, what is 1211 - 12?
1144
In base 13, what is -46 - 1ca?
-243
In base 13, what is -30 - -3?
-2a
In base 8, what is 163 + -3?
160
In base 3, what is -21 - -10?
-11
In base 9, what is 3 + -218?
-215
In base 14, what is 26d - 5?
268
In base 4, what is 101 + -320?
-213
In base 3, what is -22 - -112?
20
In base 4, what is 31122 - 100?
31022
In base 4, what is 1 - -23012?
23013
In base 8, what is 6400 - -3?
6403
In base 9, what is 788 - -2?
801
In base 2, what is 10 - 100?
-10
In base 15, what is -28 + -4?
-2c
In base 10, what is -147 + -2?
-149
In base 7, what is 12 + 42?
54
In base 10, what is -83 + -12?
-95
In base 14, what is -6 + -d?
-15
In base 8, what is -6 + -124?
-132
In base 3, what is -12220111 + 11?
-12220100
In base 15, what is -775 - -3?
-772
In base 12, what is -7 - -884?
879
In base 8, what is 632 - 4?
626
In base 13, what is 4 - -24b?
252
In base 2, what is 1001100011 + 101?
1001101000
In base 2, what is -11 + 1000?
101
In base 7, what is 2 - 634?
-632
In base 9, what is -18 + 652?
633
In base 2, what is -1000 - -1011?
11
In base 13, what is -5 - 17?
-1c
In base 16, what is 17ed + -5?
17e8
In base 9, what is -5 - -170?
164
In base 16, what is 127 - -a?
131
In base 16, what is -3c2 + -18?
-3da
In base 4, what is 120 - 13121?
-13001
In base 6, what is 1541 - -24?
2005
In base 16, what is 2 + -24c?
-24a
In base 14, what is -4 + -d71?
-d75
In base 13, what is 14a0 + 6?
14a6
In base 15, what is 26 - 2?
24
In base 3, what is 0 + 2000?
2000
In base 13, what is 168 + 11?
179
In base 13, what is -30 + 108?
a8
In base 7, what is -653 + -21?
-1004
In base 13, what is 4c3 + 8?
4cb
In base 8, what is -116 + -220?
-336
In base 5, what is 30 + -34?
-4
In base 11, what is -78 - -9?
-6a
In base 6, what is -3 - 335?
-342
In base 14, what is 12 + -29?
-17
In base 11, what is 151 - -1?
152
In base 13, what is -23 + -4?
-27
In base 16, what is -1a - -34?
1a
In base 16, what is 0 - 0?
0
In base 16, what is 1b3 + -26?
18d
In base 4, what is 233 + 210?
1103
In base 11, what is 431 - -2?
433
In base 12, what is -844 - -1?
-843
In base 11, what is 86 - 15?
71
In base 8, what is 4 + 107?
113
In base 4, what is -30 - 11133?
-11223
In base 7, what is 4 - -65?
102
In base 9, what is 23 + -50?
-26
In base 3, what is -11 + 1212?
1201
In base 2, what is 101110 - -100?
110010
In base 8, what is -12 + 726?
714
In base 2, what is 110
|
{
"pile_set_name": "DM Mathematics"
}
|
)/56).
7
(-14)/6*(-40)/210
4/9
What is (-28)/84*3/5?
-1/5
Calculate -4*(190/(-20))/(-19).
-2
Evaluate -3*(1/(-2))/((-30)/(-100)).
5
Calculate (-262)/(-2227) - (-15)/(-272).
1/16
-18*((-66)/18 + 4)
-6
Evaluate (-6)/8 - (2 + -3).
1/4
Calculate 1 - (-1 + 5)*6/12.
-1
What is ((-595)/(-1260) + 2/(-9))/1?
1/4
(-8)/(-160)*24/(-10)*-5
3/5
What is the value of 20/(-12) + (-2)/(-3)?
-1
Evaluate (-130)/273*6/5.
-4/7
What is the value of (-42)/(-10) + (-153)/(-85)?
6
Calculate (2/5)/(996/(-415)).
-1/6
Calculate (-1*4/(-12))/(-1).
-1/3
Calculate -1 - 3*4/(-20).
-2/5
((-9)/(9/3))/((-45)/60)
4
Evaluate 1180/(-100) - 40/(-4).
-9/5
210/(-63) + 42/(-9) + 4
-4
What is 2738/2590 - (-18)/(-21)?
1/5
What is the value of (-1)/((-11)/2) + 5050/(-550)?
-9
Calculate 0 + (27/(-15) - -2).
1/5
Calculate (-3)/(-5)*(-160)/(-624).
2/13
Evaluate (-10 + 24 - 11)*-1.
-3
Evaluate ((11/(-1))/(-11))/((-2)/6).
-3
Calculate 1*(1 - 24/(-6)).
5
What is the value of 8/(-10) + 663/935?
-1/11
What is the value of (-208)/276 - 26/(-299)?
-2/3
(40/90)/(42/27)
2/7
What is the value of (-2)/((-72)/26) + (-62)/279?
1/2
What is (-17600)/6240 + (-16)/(-6)?
-2/13
What is the value of (1 + 0)/(32/96)?
3
Calculate (-4 - 14/(-6))*(-60)/(-50).
-2
What is 52/(-182) - 18/(-14)?
1
What is the value of (560/6)/28*(-12)/(-5)?
8
What is the value of 78/264 + 72/(-132)?
-1/4
Evaluate (1 + -1)*1/(7 - 6).
0
Calculate (-6)/(-3)*-1*-1.
2
Evaluate ((-105)/(-45))/(1/(-3)).
-7
Evaluate 12/(-28) + (-51)/(-21).
2
(((-42)/(-8))/(-7))/((-125)/(-100))
-3/5
What is the value of (-1*(2 + 2))/(48/(-96))?
8
-4 - 12/(-4)*1 - -10
9
1 - -3 - (-16)/(-8)
2
What is (-2)/(-12) - 64/24?
-5/2
Evaluate 4 - 0 - (-110)/(-33).
2/3
Calculate 2/(32/(-20) + 0).
-5/4
Calculate 10/6*12/70.
2/7
What is 2 - (2/1 - (-1 - 0))?
-1
What is 195/(-77) - -3 - (-6)/(-21)?
2/11
What is the value of ((69/(-2))/(-23))/((-6)/1)?
-1/4
18/(-27)*1/((-24)/27)
3/4
What is ((-225)/180)/((-5)/(-6))?
-3/2
Calculate (-2)/(-5) + 30 + -31.
-3/5
(2 + 7/(-3))*15
-5
Evaluate (-1)/3 + 80/15.
5
Calculate (-1 + (-3)/(-5))/((-324)/(-1080)).
-4/3
(-4)/(-18)*(-13 - -14)
2/9
Evaluate (-6)/(-204)*(-1)/(3/(-12)).
2/17
Calculate (-10 - 57/(-6))*4/(-6).
1/3
What is 8/(-35)*50/(-20)?
4/7
What is (10 - 15) + 1 + 0?
-4
What is the value of (1 - (-58)/(-7)) + (-318)/(-1113)?
-7
What is the value of 1/(12/(-10))*(-4524)/(-28275)?
-2/15
Calculate (-4)/1 - (-56)/28.
-2
What is the value of 27/(-14 - -5) - (-2)/(-2)?
-4
What is the value of (-168)/(-27) + -3 - 3?
2/9
Calculate (0 - 3)/(-4 + -1).
3/5
Evaluate (-100)/10 - -11 - (0 - -3).
-2
((-54)/15)/((-14)/(-35))
-9
Calculate 8/(-154)*(-21)/6.
2/11
Calculate ((-3)/(-4))/((-5)/4 + 0).
-3/5
Calculate (-2)/(-2)*(1 - 0).
1
What is the value of (-5)/(-2)*(-16)/10?
-4
What is the value of (-3)/9 - (-43)/129?
0
Calculate -14*6/(-176) + 276/(-368).
-3/11
What is the value of 29/10 - 11*(-33)/(-121)?
-1/10
What is the value of (-6)/(-10)*-2*10/(-6)?
2
What is ((-91)/49 - -2)*-3?
-3/7
What is the value of (-153)/(-54) + (-1)/(-6)?
3
Calculate 0 - (-3 + (-44)/(-14)).
-1/7
(0 + 4)*(-5 - (-3380)/680)
-2/17
Evaluate (-26)/(-20) - (-6)/(-4).
-1/5
(-17)/(-34) + 65/(-90)
-2/9
Evaluate (-13)/(-195)*5*-24.
-8
Calculate (44/12 - 4)*(-3)/4.
1/4
Evaluate (-3)/(-7) - (-5)/140*-68.
-2
(157/(-628))/(10/16)
-2/5
What is the value of (-205)/(-225) + -1 + 4/(-30)?
-2/9
Calculate 32/(-800) + 114/(-150).
-4/5
Calculate 7 + (10 - (5 - -7)).
5
What is (-1*3)/(-13 + (-299)/(-26))?
2
(-4)/(-1 + 2 - (-5 + 4))
-2
Evaluate 2/(-11) - (-35)/(-110).
-1/2
Evaluate ((-3)/(-14))/(798/931).
1/4
(15/(-10))/(((-63)/(-28))/9)
-6
Calculate 5*(156/(-30) - -5).
-1
Evaluate (10/(-3))/((-430)/258).
2
What is the value of (4/(-40))/((-9)/(-6) - 1)?
-1/5
What is the value of (-40)/(-6)*48/64?
5
What is -3 - -4 - 1425/1275?
-2/17
(-5 - (-60)/8)*48/15
8
Calculate ((-2)/3 - 22/12)*-2.
5
What is the value of (-1)/(6/(-48)) + 5/(-5)?
7
Evaluate (-12)/240*4*-5.
1
What is 2/3*3*3/27?
2/9
-13 - (-1 - (2 - -4))
-6
((-27)/(-4) - 6) + 0 + -1
-1/4
Calculate (2 - 0) + (2 - -1) + -4.
1
Calculate (-138)/90 - (-8)/20 - -1.
-2/15
Calculate ((-10)/(-12))/((-7)/(-21)).
5/2
What is (3/(-2))/((-3)/(-4))?
-2
(-23)/195 + (-20)/(-390)
-1/15
Calculate (((-50)/(-15))/5)/((-1)/3).
-2
What is the value of 5*(3 + (-151)/50)*-8?
4/5
What is the value of (-32)/(-18)*(-258)/344?
-4/3
What is (-5)/2*49/1470?
-1/12
Evaluate (1 - 10/15)/(1/(-3)).
-1
Calculate ((-12)/40*16/6)/(-6).
2/15
Calculate 240/2600*15/9.
2/13
Evaluate -9*(-5)/(-55) + (-2)/(-2).
2/11
Evaluate (-14)/105*((-18)/12 - -3).
-1/5
What is (3/(-8))/((-12)/16)?
1/2
What is the value of 3/(-12) - (1960/352)/(-7)?
6/11
What is the value of ((-24)/6 + 6)/(4/(-12))?
-6
What is the value of (-75)/525 + (-1)/(-7)?
0
-3 - 4/(4 - (-45)/(-10))
5
What is (((-6)/(-15) + -1)*-5)/33?
1/11
Evaluate -1 + -4*(-5)/12.
2/3
What is the value of ((-2)/4)/((-3)/(-18))?
-3
What is the value of (-21)/18*4/7?
-2/3
What is the value of 102/(-13) + 62/(-403) + 3?
-5
What is the value of (-188)/36 - 2/(-9)?
-5
Calculate (-2)/(-8)*(6/9)/(-1).
-1/6
14/63 + -2*(-52)/(-144)
-1/2
What is the value of ((-9)/(-4))/(225/(-150))?
-3/2
What is (6 + -3)*(12/4 - 4)?
-3
What is the value of (12/2)/(2/(1/(-1)))?
-3
((-4)/5)/(5 - 3)
-2/5
Calculate (-6 - 24/15) + 8.
2/5
What is ((-39)/26)/(((-2)/4)/(-1))?
-3
Calculate -5*12/15*(-3)/(-4).
-3
0/((4/2 + 2)/(-2))
0
Calculate (-21)/35 - (-23)/5 - 0.
4
Calculate 27/18 - 22/11.
-1/2
Calculate 5/(2/2)*22/715.
2/13
What is the value of ((-204)/(-24) - 11)*2?
-5
Evaluate -4*((-38)/10 - (14 - 18)).
-4/5
What is the value of (-704)/6072*6/8?
-2/23
Calculate 0/(-2) - (-10)/((-90)/27).
-3
Evaluate (-6)/(-8) - (-1053)/(-156).
-6
What is (-1002)/78 - -3 - 2/13?
-10
What is 2/(9/12 + 15/12)?
1
What is the value of (35/7 - 11)*1?
-6
What is ((-658)/(-84) - 7) + 11/(-12)?
-1/12
(-12)/(-20) + (-108)/210*2
-3/7
Evaluate 21/3 - (-5 + 7).
5
Evaluate 44/18 + 98/(-49).
4/9
Evaluate (-118)/38 + (-2)/(-19).
-3
What is the value of (-35)/(-210)*3*-2?
-1
What is (10/10)/(-1)*(-2)/7?
2/7
Calculate 4876/414 + -11 + -1.
-2/9
What is (1 + 3 - 6)*(-2)/(-18)?
-2/9
What is the value of 18/(-27) - (-4)/15?
-2/5
Evaluate (-1 - -3) + (-64)/28.
-2/7
((2/(-15))/(-1))/(39/(-65))
-2/9
What is the value of (-2)/(-17) + -3*(-792)/(-4590)?
-2/5
What is the value of 1*((-4)/14 - 0)?
-2/7
Calculate (-3)/1*(-4)/(-48)*2.
-1/2
What is the value of -1 - -1 - (-32)/208?
2/13
(-81)/36*4/(-6)
3/2
Evaluate 7 - 1 - 20/4*1.
1
What is the value of (-1*5/10)/(52/16)?
-2/13
(-10)/2 - (9 - (-275)/(-20))
-1/4
4 + -2 + 12/(-9)
2/3
What is the value of (-6)/78*-2 - (-148)/52?
3
What is (-4)/(-5)*9/(-36)?
-1/5
-1*(-120)/(-66) - -2
2/11
What is the value of (-13 - -5) + 4 - -4?
0
What is 0 + -3 + 2 + 1?
0
(15/(-10))/(-5 + 2)
1/2
(((-336)/14)/(-288))/(2 + -1)
1/12
Evaluate ((-18)/(-117))/((-48)/(-104)).
1/3
What is (-8)/(32/(-36)) + -3?
6
(12/(-25))/((-6)/10 - -1)
-6/5
What is the value of (-12)/21 - 117/(-42)*2?
5
(5/15)/(3 - (-8)/(-3))
1
Evaluate 195/(-63) + 3 + (-5 - -5).
-2/21
What is the value of (450/20 + -22)/((-14)/8)?
-2/7
(-305)/(-35) - ((-10)/(-35))/(-1)
9
What is the value of 2/(-12) - (-28)/96?
1/8
(-330)/(-24) + -10 + 1/4
4
What is the value of (-5)/2 + (-24)/48?
-3
What is 33/55 + (-22)/20?
-1/2
18/9*-5*3/5
-6
Calculate 7 + (4/14 - 38/133).
7
Calculate (1/4)/((-13)/(-208)).
4
14/(-6)*(-414)/6279
2/13
Evaluate 9/(-24)*1/(36/(-16)).
1/6
What is (1/(25/10))/((-1)/5)?
-2
(-11)/55*5/(-6)
1/6
What is the value of (-3)/(-3) + (-2)/(-1)?
3
1 + (2 - -3 - (23 + -11))
-6
What is the value of (-2)/(-11) - (-72)/(-154)?
-2/7
Evaluate 0*(30/12 - 2).
0
What is (10/25)/(1/((-15)/(-3)))?
2
What is the value of 1/(-13) - (-153)/(-39)?
-4
Calculate ((-1)/(-15))/((105/10)/(-21)).
-2/15
Evaluate -1 + ((-238)/(-30))/7.
2/15
Evaluate (0 - (-3 - -1)) + -5.
-3
What is the value of 1 - 3 - (7 + 5 + -11)?
-3
What is the value of (-8)/(-52) - 29/(-65)?
3/5
Evaluate 66/(-36) + 4/(-24).
-2
What is the value of 2158/(-830) - (4/10 - 1)?
-2
Evaluate 3330/(-630) - 4/(-14).
-5
Calculate (-2)/(-4)*(52 - 46).
3
What is the value of (-312)/(-54) + -6*(-3)/81?
6
What is 28/98 - ((-82)/(-42) + -1)?
-2/3
What is (-2 - -2)/((-72)/18)?
0
What is the value of (2 - (-12)/(-8))*-10?
-5
What is ((-198)/(-165))/(2 + 43/(-20))?
-8
22/12*(0 + (-5)
|
{
"pile_set_name": "DM Mathematics"
}
|
n/(((n**0/n)/n)/n))) assuming n is positive.
n**(24/13)
Simplify (g**(-7)*g**(4/5)/g)/((g/(g*g**(-6))*g)/g*g/(g*g**(1/3)*g)) assuming g is positive.
g**(-178/15)
Simplify (((i**(-1/2)*i)/i*i)/i)**(-1/30)*i/(i/i**1)*i*i/i**(-2/17)*i assuming i is positive.
i**(4217/1020)
Simplify (s*s**(-20)/s)/s**(-16) assuming s is positive.
s**(-4)
Simplify (u/(u/(u/(u/u**(-2/13))*u))*u*(u*(u**(-5/4)*u)/u)/u)**(-50) assuming u is positive.
u**(-775/26)
Simplify (f**(-4)*f*f**(-4))**(-1/19) assuming f is positive.
f**(7/19)
Simplify ((v/(v/(((v*v/(v*v**(-4)))/v*v)/v)))/(v/v**(-6/11)))/((v*v**(-4))/(v**(-8)/v)) assuming v is positive.
v**(-39/11)
Simplify ((b/(b/((b*(b**(-2/7)*b)/b*b)/b)))/b)**(-1/54) assuming b is positive.
b**(1/189)
Simplify (n**(-2/7)*n*n**(-2)*n)**45 assuming n is positive.
n**(-90/7)
Simplify (n**(4/7)/n**(-6/5))/((n/((n/n**6)/n)*n)/(n*n*n**9*n)) assuming n is positive.
n**(202/35)
Simplify (((f**(-8)*f)/f*f)/(f/((f**(-1/8)/f)/f*f)))/((f**(3/2)/f)/f**(-2)) assuming f is positive.
f**(-93/8)
Simplify ((g*g**1)/g*g)**25/(g**(1/3)*g**(1/6)) assuming g is positive.
g**(99/2)
Simplify (((y*y**(-3/7))/y)**(4/35))**49 assuming y is positive.
y**(-12/5)
Simplify (b*b*((b*b/b**(1/5)*b)/b*b)/b*b*b*b*b**(-1/6))/(b*b**6*b/(b**(-5)/b*b)) assuming b is positive.
b**(-191/30)
Simplify (a**1)**(3/41) assuming a is positive.
a**(3/41)
Simplify u**(2/3)*u*(u/(u*u**5))/u*(u/(u/(u**(1/4)*u)*u))/((u*u/u**(-4/5)*u)/u) assuming u is positive.
u**(-413/60)
Simplify i**(6/13)/(i/i**(-2)) assuming i is positive.
i**(-33/13)
Simplify b**(-3)/((b/(b**(2/7)*b))/b*b*b)*b*b**(-2/5)*b*b/((b**1/b)/b)*b*b assuming b is positive.
b**(66/35)
Simplify ((m*m*m/m**(-2/17))/m)/m**(2/15) assuming m is positive.
m**(506/255)
Simplify (v/v**(-1/3))**(9/2)*(v/(v**(-2)*v))/(v**3/v) assuming v is positive.
v**6
Simplify (m/(m/m**(-24))*m)**(-43) assuming m is positive.
m**989
Simplify (w**(-15))**(-9/2) assuming w is positive.
w**(135/2)
Simplify (t*t**(-18))**(-24/5) assuming t is positive.
t**(408/5)
Simplify ((i/(i*i**(-3/11)))/i*i)/((i*(i/(i**(2/7)/i))/i)/i) assuming i is positive.
i**(-34/77)
Simplify (u*u**(-14))**(3/34) assuming u is positive.
u**(-39/34)
Simplify ((t/(t*(t**(2/17)*t)/t*t)*t)/t)**(-30) assuming t is positive.
t**(570/17)
Simplify (f**(-1/3)/(f/((f*f*f/f**(-2/19)*f)/f*f)))/(f**3*f*f*f*f**(2/3)) assuming f is positive.
f**(-74/19)
Simplify h**(-25)/(h**(-20)*h) assuming h is positive.
h**(-6)
Simplify (b/b**(-1/3))**(-15)/(b**3*b**(-6/13)) assuming b is positive.
b**(-293/13)
Simplify (c/(c/((c*c**(-5/12))/c)))**(3/22) assuming c is positive.
c**(-5/88)
Simplify h**(-1/13)/h*h/(h*(h**(-2/15)*h)/h)*h*((h/(h**(-2/15)*h))/h)/h**6 assuming h is positive.
h**(-1328/195)
Simplify (b/(b*b/b**(4/9))*b)**2 assuming b is positive.
b**(8/9)
Simplify (u/u**6)**(-2/5) assuming u is positive.
u**2
Simplify w**(10/7)/((w/w**(3/23))/w) assuming w is positive.
w**(251/161)
Simplify (r/((r**(2/7)*r)/r)*r*r**(1/8))**(-45) assuming r is positive.
r**(-4635/56)
Simplify (q**3*q/(q**(-9)*q))**(-18) assuming q is positive.
q**(-216)
Simplify (c/((c**(-3)*c)/c)*c)**2/(c/(c/(c**(1/5)*c))*c**(2/7)) assuming c is positive.
c**(298/35)
Simplify (r**(-7/3)/(r/r**(-4/3)))**(22/3) assuming r is positive.
r**(-308/9)
Simplify (l**(-1/3)/l*l)/l**9*(l/(l**(1/3)*l*l))**(-6) assuming l is positive.
l**(-4/3)
Simplify (o**(-3/7)/o)**35 assuming o is positive.
o**(-50)
Simplify ((z*z*z**(-1)*z)**21)**(-20/3) assuming z is positive.
z**(-280)
Simplify t**(-5)*t**(1/7)/t*t assuming t is positive.
t**(-34/7)
Simplify (j/j**(-32)*j)/j**34 assuming j is positive.
1
Simplify r**(3/8)/((r*r/((r/((r**25/r)/r))/r)*r*r)/r) assuming r is positive.
r**(-205/8)
Simplify ((p*p**(-2)*p)/p**(-3/7))**20 assuming p is positive.
p**(60/7)
Simplify (o*o**1/o*o)**(-18/11)/(o**(-2))**(-2/15) assuming o is positive.
o**(-584/165)
Simplify r**(-23)/(r**(13/3)*r) assuming r is positive.
r**(-85/3)
Simplify p**5/p**(-9)*(p*p/p**(-3/2))/p**(6/7) assuming p is positive.
p**(233/14)
Simplify x**6*x/((x/(x**(-2)/x)*x)/x)*(x/x**(1/2))/(x**7/x) assuming x is positive.
x**(-5/2)
Simplify ((j*j**(-28))/j)/(j*j*j*j/((j*j**(1/27))/j)) assuming j is positive.
j**(-863/27)
Simplify ((r**6*r*r)/(r*(r*r*r**4)/r))/(r**(-3/2)/(r**(6/7)*r)) assuming r is positive.
r**(75/14)
Simplify ((l**7)**(-3/14))**(-7/6) assuming l is positive.
l**(7/4)
Simplify (n**0*n)**(-1/7)/(n**(2/7))**41 assuming n is positive.
n**(-83/7)
Simplify a/(a*a/a**(-19))*a*(a*a/((a*a**(1/11))/a))/a assuming a is positive.
a**(-199/11)
Simplify (h**(2/3))**(-48) assuming h is positive.
h**(-32)
Simplify (a**(-4))**(-3/13) assuming a is positive.
a**(12/13)
Simplify (k*k/(k/(k*k**(1/4))))**13/(k**(-1)*k**(2/7)/k) assuming k is positive.
k**(867/28)
Simplify v**37/(v**27/v) assuming v is positive.
v**11
Simplify ((o/o**(2/11))/o)/o*o*((o**(-3)/o*o)/o*o)/o assuming o is positive.
o**(-46/11)
Simplify (s**(-6)/s**(1/7))**(2/5) assuming s is positive.
s**(-86/35)
Simplify (d/(d**38*d*d))/(d/(d*d*d/(d*d**15/d))) assuming d is positive.
d**(-52)
Simplify (z**(-4)/z**5)/(z**(-2))**(-9/8) assuming z is positive.
z**(-45/4)
Simplify (l*(l*l**(-4)/l*l)/l)/l**(1/4)*((l/(l/l**(-2))*l)/l)/(l/(l**(-1/4)/l)) assuming l is positive.
l**(-15/2)
Simplify q**(-3/10)*q/(q*q*q**(2/3)*q)*(q**2*q)**(-30) assuming q is positive.
q**(-2789/30)
Simplify (a**(-3)/a)/a**(2/5) assuming a is positive.
a**(-22/5)
Simplify (q*q/(q/(q*((q*q*q*q**(-16/7))/q*q)/q)*q))/q**(-9) assuming q is positive.
q**(68/7)
Simplify (j**(4/5)/j)**(-2/5) assuming j is positive.
j**(2/25)
Simplify (s/(s/s**(-7)*s))**0 assuming s is positive.
1
Simplify (f/((f**(-21)/f)/f)*f)/f*f*f**1/f assuming f is positive.
f**25
Simplify ((a**8)**(28/3))**12 assuming a is positive.
a**896
Simplify (z*z/z**16*z**(7/5))**2 assuming z is positive.
z**(-126/5)
Simplify ((m*m**(-5)/m*m)**(-1))**(1/2) assuming m is positive.
m**2
Simplify ((k**(2/7)*k)/k)/k*(k/(k/k**(-3/8)))/k*k assuming k is positive.
k**(-61/56)
Simplify ((p/(p/p**(-1/3)*p))/p*p)**44*((p/p**1)/p)**30 assuming p is positive.
p**(-266/3)
Simplify (l**(-8)/l)/(l/(l*l**(-6)))*(l*l*l**5*l)/l**3 assuming l is positive.
l**(-10)
Simplify (f**24*f*f)/f**(1/17) assuming f is positive.
f**(441/17)
Simplify (w/w**(-12))**(-2/25) assuming w is positive.
w**(-26/25)
Simplify ((r/r**(-17/4))/r*r)/r*((r*r**(-1/20))/r)/r assuming r is positive.
r**(16/5)
Simplify (t*t**(-2/7))**(-3/8)/(t**(2/5)/(t*t**(-6)*t)) assuming t is positive.
t**(-1307/280)
Simplify (t**(2/3))**(-3/14)*(t*((t*t/(t/(t*t*t*t**(-2/5)/t)))/t)/t)/(t*t*t**(-1/3)) assuming t is positive.
t**(-22/105)
Simplify k**(5/3)/k*k*k**(23/3)/k assuming k is positive.
k**(25/3)
Simplify (f**(1/3)*f)/((f/f**6)/f)*(f*f**(-5/2))/((f/(f/(f**(-2/15)/f)))/f) assuming f is positive.
f**(239/30)
Simplify ((w**(-1/4))**12)**38 assuming w is positive.
w**(-114)
Simplify (y**(1/2))**(4/9)*(y/((y/y**(2/5))/y)*y)**(-39) assuming y is positive.
y**(-4202/45)
Simplify (b**(-1/7)*b)/(b*b/b**(1/14)) assuming b is positive.
b**(-15/14)
Simplify (o*o*o*(o*o**(-1/6))/o*o)/(o*o**(-1/6))*(o**(-1)/o)**(-2/81) assuming o is positive.
o**(247/81)
Simplify y**(8/7)/(y/y**(3/5)) assuming y is positive.
y**(26/35)
Simplify (((z**(-2/5)*z)/z)/z)**(20/7)/((z**5/z)/(z/(z/z**(2/3)*z*z))) assuming z is positive.
z**(-28/3)
Simplify ((d*d*d**(-1)*d*d*d)**(-2/101))**(-15/11) assuming d is positive.
d**(120/1111)
Simplify (k**(1/10))**(-7/6) assuming k is positive.
k**(-7/60)
Simplify (p/p**(-1))/(p**(-5)*p*p)*p**7*p**(-3)*p assuming p is positive.
p**10
Simplify ((k/(k*k/(k/k**(3/8))))/k*k**4)/(k**(-4/3)*k**(-4)/k*k) assuming k is positive.
k**(191/24)
Simplify (k**(11/5)*k)/(k*k**(2/27)) assuming k is positive.
k**(287/135)
Simplify (g*g/(g**1/g))**(-4/5)*g**(2/7)/(g*g*(g**(-3)*g)/g*g) assuming g is positive.
g**(-46/35)
Simplify (k**(-1/3))**(-1/22)/((k*k**(-1/6)/k)/k**(-3/2)) assuming k is positive.
k**(-29/22)
Simplify (r*r/(r/(r/r**(-2/7)))*r)**(-13) assuming r is positive.
r**(-299/7)
Simplify (s**0)**(-4/3)/(s**(1/11)*s**1) assuming s is positive.
s**(-12/11)
Simplify m**16*m/m**(-20) assuming m is positive.
m**37
Simplify (b**(-5)/(b/b**5*b))/((b**(-9)/b)/b*b**(-11)) assuming b is positive.
b**20
Simplify (v*v*((v*v*v/v**(-1))/v)/v*v*v*v*v*v*v)/v**(1/12)*
|
{
"pile_set_name": "DM Mathematics"
}
|
0 = -l - l + v - 123, 5*l = -3*v - 302. Let x = l + 89. Calculate the remainder when x is divided by j.
8
Suppose 0 = -67*w + 69*w + 26. Let l(o) = -o**3 - 14*o**2 - 15*o + 2. What is the remainder when l(w) is divided by 10?
8
What is the remainder when 2/((70/(-1253))/(-5)) is divided by 31?
24
Suppose w - 5*w = -12. Suppose 4*u - 12 = -2*s + 8*u, w*u = s - 5. What is the remainder when 1*32 - (-2 + 3) is divided by s?
7
Let x(w) = w**3 + w - 1. Let h be x(-3). Let g = -215 - -253. Calculate the remainder when g is divided by (-1)/(3/(1 + h)).
8
Suppose 111 = 3*p + 5*h, -2*p + 3*h + 74 = 8*h. Calculate the remainder when 514 is divided by p.
33
Let p(t) = -88*t - 329. Calculate the remainder when 207 is divided by p(-6).
8
Let h(t) = -8*t - 3. Suppose -6 - 4 = m + 3*d, 2*m + d + 10 = 0. What is the remainder when h(m) is divided by 13?
3
Let c(k) = -k**3 - 3*k**2 + 2*k + 2. Let h be c(-3). Let v be (616/4)/2 + h. Calculate the remainder when (6 - 5)/(1/v) is divided by 19.
16
Let c = 7 + -5. Suppose -98 = -4*a - v, 0 = c*a - 3*v - 32 - 24. Let h = a + -13. What is the remainder when 47 is divided by h?
11
Suppose r - 48 = -4*t, 4*r - 2*t = 74 + 82. Let x = 732 + -711. What is the remainder when r - (-1)/2*-2 is divided by x?
18
Let u be 20/(-3*(-4)/(-12)). Let f = u - -43. What is the remainder when f is divided by 12?
11
Let g = -63 - -40. Let f = 54 + g. Calculate the remainder when f is divided by -10*((-2)/(-10) - 1).
7
Let x(l) = -13*l + 4. Let s be x(-5). Suppose -3*m + s = 15. Calculate the remainder when 43 is divided by (3 - 1)/(m/99).
10
Let i(c) be the first derivative of -22*c**2 + 7*c + 4. Let n be i(-4). Suppose -4*a + n - 75 = 0. What is the remainder when a is divided by 10?
7
Let q = 216 - 104. What is the remainder when q is divided by 47?
18
Calculate the remainder when (-1)/6 + -5*71/(-6) is divided by 2/10 - 118/(-10).
11
Let d = 50 + -49. Suppose y = 5*y - t - 96, 0 = -4*y + 3*t + 88. Calculate the remainder when y is divided by 0 - d - (1 + -7 + -4).
7
Let v(o) = 60*o - 1. Let p be v(-2). Let r = p - -177. Calculate the remainder when r is divided by 19.
18
Let d = 21 - 45. Let a be (-210)/d - 1/(-4). Suppose 3*u = a, k = 4*k - 2*u - 99. What is the remainder when k is divided by 9?
8
Let f(m) = -m**3 + 7*m + 12. What is the remainder when 69*1 - (-2 + 1) is divided by f(-3)?
16
Suppose -i = -0*i - 34. Suppose 5*r = 3*f + 18, r = -2*f - 1 + 2. Suppose 3*k - 7 = 2*k + l, -r*l + 51 = 3*k. Calculate the remainder when i is divided by k.
10
Let b(d) = -21*d - 3. Let v(f) = 41*f + 7. Let y(h) = 5*b(h) + 2*v(h). What is the remainder when y(-1) is divided by 7?
1
Suppose 0 = -q - 1, -15*f + 16*f + 3*q = 29. Calculate the remainder when 84 is divided by f.
20
Suppose -3*m + 4*m = 5. Suppose -2*v - 244 = -4*t + 2*v, -4*t + 244 = -m*v. Suppose 11 + 21 = 2*z. Calculate the remainder when t is divided by z.
13
Let l = -30 + 32. Suppose 2*b = -2*f + l, 4*b = 2*b - f + 7. Suppose -2*h - 4*w = -26, 3*h - 50 = 5*w + 22. Calculate the remainder when h is divided by b.
1
Suppose 5*x = 4*y - 143, 4*x + 59 + 122 = 5*y. What is the remainder when y is divided by 13?
11
Calculate the remainder when 14/3*22470/140 is divided by 248.
5
Let p = -421 + 456. Calculate the remainder when p is divided by 13.
9
Calculate the remainder when (4 - 360/(-16))/((-1)/(-6)) is divided by 20.
19
Suppose -10*o = -27*o + 2924. What is the remainder when o is divided by 36?
28
Let l(u) = 2*u**3 - 56*u**2 + 3*u - 41. Calculate the remainder when l(28) is divided by 12.
7
Let y(a) = a**3 + 5*a**2 + 3*a. Let p = 7 + -10. Let s be y(p). Suppose -j - k - 25 = -6*j, s = j - k. Calculate the remainder when 9 is divided by j.
1
Let v(i) = -11*i - 104. Calculate the remainder when 167 is divided by v(-11).
14
Suppose -5*p + 3*f = -429, -1 = -f + 1. What is the remainder when 274 is divided by p?
13
Suppose 3*g = -g + 20. Suppose -d + 5 = -o + 15, g*o - 3*d = 46. Calculate the remainder when ((-78)/(-4))/(2/4) is divided by o.
7
Let n(f) = 56*f - 53. Calculate the remainder when n(4) is divided by 43.
42
Let o be 12/(-18) + 32/(-6). Let z be (-3)/6 - o/(-4). Let y(a) = -a**3 - a**2 + 3*a + 3. Calculate the remainder when 3 is divided by y(z).
0
Let k(p) = -6*p**2 + 12*p - 8. Let y be k(4). Let b = -31 - y. What is the remainder when b is divided by 14?
11
Let m(s) = 2*s**2 + 2*s - 3. Let k be m(-5). Let o = -3 + k. What is the remainder when o is divided by (-56)/(-6) + (-4)/12?
7
Let j = 70 - -133. What is the remainder when j is divided by 53?
44
Suppose -2*a + 0*a + 4*i = -362, i = 5*a - 896. Calculate the remainder when a is divided by 28.
11
Suppose 0 = -4*x - 10 + 30. Suppose 2*y + 5*r = -9, -13 = -x*y - 5*r + 2. Let m = 39 - 8. What is the remainder when m is divided by y?
7
Let s(y) = -17*y - 71. What is the remainder when 51 is divided by s(-6)?
20
Let p(z) = z + 4. Let y(t) = -t**2 + 7*t + 2. Let a be y(6). Let q be p(a). What is the remainder when 17 is divided by 90/q - 2/4?
3
Let s = 88 - 88. Let a = s + 15. Let z = -21 + 63. Calculate the remainder when z is divided by a.
12
Let n(c) = -c**3 - 7*c**2 - 7*c + 4. Suppose -3*g - 5 = -14. Suppose 5*u - 4*o + 34 = 114, g*u = 4*o + 48. Calculate the remainder when u is divided by n(-6).
6
Let l = -1 + 55. Suppose 2*t - l = -t. Let a = t - -2. Calculate the remainder when a is divided by 11.
9
Let u = 125 - 83. Let c(l) = -l**3 - 6*l**2 - 3*l - 3. Let t be c(-6). What is the remainder when u is divided by 33/2*(50/t)/5?
9
Let p be 4*11*((-20)/(-8) + -2). Let z(l) = l**3 - 21*l**2 - 19*l - 14. Let o(j) = j + 14. Calculate the remainder when z(p) is divided by o(0).
10
Let s = -181 - -98. Let y(h) = -26*h. Let v be y(5). Let r = s - v. Calculate the remainder when r is divided by 12.
11
Let j = -270 - -277. What is the remainder when 11 is divided by j?
4
Let x = -291 + 296. What is the remainder when 85 is divided by x?
0
What is the remainder when 4 - 4 - 1608/(-12) is divided by 27?
26
Let h = 48 - 44. Suppose 11 = h*p + 4*x + 3, 4*p + 2*x = 16. Calculate the remainder when 20 is divided by p.
2
Let o(m) = m**3 + 38*m**2 + 37. What is the remainder when 147 is divided by o(-38)?
36
Let h = 233 - 107. What is the remainder when h is divided by 45?
36
Let o = 1205 + -1118. What is the remainder when 203 is divided by o?
29
Let q(m) = -m**3 + 16*m**2 - 56*m - 10. Calculate the remainder when 261 is divided by q(9).
49
Let a = 4 - 0. Suppose -a*u - 185 = -9*u. Let g(c) = c**2 + c - 2. Calculate the remainder when u is divided by g(3).
7
Let f = 32 + -34. Let t = f - -15. Calculate the remainder when 75 is divided by t.
10
Suppose 0 = 4*j + 5*g - 205, -3*g - 75 = -6*j + 4*j. Calculate the remainder when j is divided by 10 - (0 + -1)*2.
9
Let h be (2/(-3))/((-14)/693). Suppose -59 - h = -4*j. Let o = -8 - -17. Calculate the remainder when j is divided by o.
5
Suppose -169*j + 168*j = 4*o - 247, 4*o = -2*j + 246. Calculate the remainder when 1301 is divided by o.
61
Let b = 1940 - 1927. What is the remainder when 45 is divided by b?
6
Suppose 4*k = 2*i - 4, -2*k - 5*i + 18 = -i. Let l = -2 + k. Calculate the remainder when -8 + 51 - (-2 + l) is divided by 12.
10
Let m(d) = -2*d + 14. Let u(c) = c - 14. Let y(p) = -2*m(p) - 3*u(p). Let g = 49 - 40. Calculate the remainder when g is divided by y(-8).
3
Calculate the remainder when (-4)/(-10) - (-10848)/80 is divided by 23.
21
Let q(a) be the second derivative of a**3/6 + 21*a**2/2 - 22*a. What is the remainder when 59 is divided by q(-6)?
14
Let s(r) = 19*r**2 - 2*r - 3. What is the remainder when 64 is divided by s(-1)?
10
Let l = 21 - -16. Calculate the remainder when l is divided by (252/(-8)*1/6)/((-2)/8).
16
Let i(p) = p**3 - 7*p**2 + 9*p. Suppose 0 = -2*x + 6 + 6. Suppose -r + 3*r = 20. What is the remainder when i(x) is divided by r?
8
Let n(z) = -28*z**2 - z + 2. Let s be n(-2). Let p(k) = -k**3 - 5*k**2 - 6*k + 17. Let f be p(-7). Let g = s + f. What is the remainder when g is divided by 10?
9
Suppose 0 = 5*c - 4*c. Suppose k + 3*p = -c*k - 3, 5*k + p - 13 = 0. What is the remainder when 11 + 1 + 0 - 3 is divided by k?
0
Let l(q) = q**2 + 10*q + 4. Let f be l(0). Suppose 11 = 7*j + f*j. What is the remainder when 8 is divided by j?
0
Let j = -966 - -1015
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*s + 4*s = -491. List the prime factors of d.
2, 61
Suppose 2*n - 7 = 7. Suppose -2*o + n = -43. Let h = -7 + o. List the prime factors of h.
2, 3
Let o be (-4 - 7/(-2))*-2. Let x(c) = 11*c + 4. What are the prime factors of x(o)?
3, 5
Suppose 0 = -3*t + y + y + 510, t - 166 = 2*y. What are the prime factors of t?
2, 43
Let h = 63 + -23. Suppose 5*r + h = -50. Let c = -2 - r. List the prime factors of c.
2
Suppose 5*n - 4 = 4*n. Suppose 0 = y + i + n*i - 22, -3*y - 4*i + 22 = 0. Suppose 2*r + y*a - 16 = 28, 3*a + 95 = 4*r. List the prime factors of r.
23
Let p be 5/(-2)*180/(-25). List the prime factors of (-248)/(-6) - (-12)/p.
2, 3, 7
Suppose -3 + 39 = 9*k. Suppose k*j - 3*u - 248 = 0, -2*u = -3*j + 3*u + 186. List the prime factors of j.
2, 31
Let x(u) = -97*u + 6. Let i be x(5). Let k = -239 - i. What are the prime factors of k/42 - 2/(-7)?
2, 3
Let y = -214 + 3615. What are the prime factors of y?
19, 179
Suppose 1915 = 6*g - 473. What are the prime factors of g?
2, 199
Suppose -9*d = -4*d - 2*w - 545, d - 2*w = 109. What are the prime factors of d?
109
Let i(x) be the second derivative of x**5/5 - 5*x**4/12 + 4*x**3/3 - 2*x**2 - 19*x. List the prime factors of i(3).
83
Suppose 5*g + 32 = 5*c + g, -4*c = -g - 19. Suppose 2*h = 0, -k + 11 = c*h - h. Suppose -2*r + 3*r - 3*w - 27 = 0, r + w = k. What are the prime factors of r?
3, 5
Let m = -9337 + 13216. List the prime factors of m.
3, 431
Let r = 833 + -251. List the prime factors of r.
2, 3, 97
List the prime factors of (1312 - (-11 + 22)) + -12.
1289
Let m(r) = -r**3 + r**2 + 157. Let n be m(0). Let i = n + -109. What are the prime factors of i?
2, 3
Let d(m) be the third derivative of m**5/60 + m**4/12 + 4*m**3 - 14*m**2. Suppose 0 = c - 5*l, 4*l = -2*c + c. List the prime factors of d(c).
2, 3
Let u = 285 + 89. Suppose u + 278 = 4*j. List the prime factors of j.
163
Suppose -4*n + n + 1330 = -5*d, -4*n = -3*d - 1755. What are the prime factors of n?
3, 5, 29
Let f = 3034 + -601. What are the prime factors of f?
3, 811
Suppose -250 = 8*r - 1130. Suppose -49 + 313 = 4*p. Let k = r - p. What are the prime factors of k?
2, 11
Suppose 5*w + 3*g + 606 - 1667 = 0, 5*g = 3*w - 657. List the prime factors of w.
2, 107
Let c be (2/2)/(1/(-4)). Let x be (-2 - c) + (4 - 3). What are the prime factors of 58*x/(-6)*-1?
29
Suppose 3330 = 31*o + 14*o. Let x be 246/(-8) + (-2)/8. Let s = o + x. What are the prime factors of s?
43
Let m be ((-9)/18)/((-2)/48). Let c be 0 + 2 - m/2. Let f(d) = -d + 1. What are the prime factors of f(c)?
5
Suppose -337 = 5*l - 0*l - 3*k, -3*k = 4*l + 275. Let s(x) = -54*x + 10. Let m be s(-2). Let c = m + l. What are the prime factors of c?
2, 5
Let u(c) = c**2 - 7*c + 8. Let h be u(6). Suppose -6*b + 896 = -h*b. List the prime factors of b.
2, 7
Suppose -165 - 85 = -5*k. Let n = 128 - k. What are the prime factors of n?
2, 3, 13
Let h = 42 - -1295. List the prime factors of h.
7, 191
Suppose -p = 5*o + 72, -113 - 23 = 2*p + 2*o. Let f = 7 - p. List the prime factors of f.
2, 37
Suppose 22*u + 17*u - 43*u = 0. Suppose -o + 2*d = -82, u*d = -2*o + 5*d + 164. What are the prime factors of o?
2, 41
Let w = 190 + -65. List the prime factors of w.
5
Let m(q) = -q**3 + 5*q**2 - q - 2. Let x be m(5). Let y = 16 + x. Let n = 62 - y. List the prime factors of n.
53
Let q(x) = -4*x - 39. Let l be q(22). Let v = -58 - l. List the prime factors of v.
3, 23
Suppose 8754 = -66*x + 69*x. List the prime factors of x.
2, 1459
Suppose -12*k + 2563 - 199 = 0. List the prime factors of k.
197
Let q(s) = -3*s**2 - 2*s**2 + 4 - 5. Let t be q(2). List the prime factors of (-1 + -1)*t/6.
7
Suppose 0 = c - 3*r - 791, 1987 = 3*c - r - 426. List the prime factors of c.
2, 13, 31
Suppose 3*a = d - 126, 2*d - 37 = a + 225. Let j(f) = 3*f**2 - 3*f + 7. Let z be j(5). Let i = d - z. List the prime factors of i.
5, 13
Suppose 5*t = j - 3130, -10926 = -5*j - 3*t + 4808. List the prime factors of j.
5, 17, 37
Suppose 4*o - 4 = 3*i, 0 = -2*i + o + 1 + 3. Suppose 0 = i*v - 9*v + 305. Suppose -41 - v = -3*g. List the prime factors of g.
2, 17
Let h(u) = 7*u**3 - u**2 - 2*u - 1. Let m = 13 - 14. Let j be h(m). What are the prime factors of 14/j*46/(-4)?
23
List the prime factors of (-1)/((18/(-4713))/6) - 1.
2, 5, 157
Let z(k) = k**2 + 18*k + 20. Let n be z(-16). What are the prime factors of 54*(28/n - -3)?
2, 3
Let f be 37 - (-1 - 1 - -2). Suppose 15*s - 64 = -4. What are the prime factors of f - s*1/2?
5, 7
List the prime factors of 379/((-7)/1*6/(-42)).
379
Let z(p) = -p**3 + 6*p**2 + 6*p. Let l = -31 - -47. Suppose 3*c - 2 = -2*m + l, -m = -3*c + 18. What are the prime factors of z(c)?
2, 3
Suppose 5*h - 51 = 3*w + 96, 73 = 3*h + 2*w. Let c = 36 - h. What are the prime factors of c?
3
Let w(y) = 9 + 31 + y**2 - 12 - y. What are the prime factors of w(0)?
2, 7
Suppose -t - 4*t = 0. Suppose -2*z - 6 = t, 0 = v + 4*v - 4*z - 12. Suppose v*i = -i + 34. What are the prime factors of i?
2, 17
Let o = -41 - -45. Suppose -o*t + 98 + 108 = 2*p, p + t = 100. List the prime factors of p.
97
Suppose -5*x - 370 = -u, 2*u - 3*x = -8*x + 710. What are the prime factors of u?
2, 3, 5
Let x be -4 + 1 + (-702)/(-6). Suppose 5*o = 3*a - 78 - 117, -x = -2*a - 2*o. List the prime factors of a.
2, 3, 5
Suppose -4*n = -2*n + 90. Let c = 114 + n. List the prime factors of c.
3, 23
Let u(w) = -7*w - 6. Let s(b) = b**3 - b - 5. Let q be s(0). Let l be u(q). Let a = l - -8. What are the prime factors of a?
37
Let h(w) = 60*w - 99. List the prime factors of h(23).
3, 7, 61
What are the prime factors of 10/(120/18)*(-12832)/(-6)?
2, 401
Let l = -16 + 51. Suppose 5*j = 5*n + l, 5*n - 1 = -3*j - 4. Suppose 54 = p + 2*p + j*o, -5*p + 3*o = -61. What are the prime factors of p?
2, 7
Let v = 3032 + -2025. List the prime factors of v.
19, 53
Let h be (3 + 7/(-2))*-10. Suppose 0 = -h*w + 2*w. Let n = w - -11. What are the prime factors of n?
11
Suppose -3*w - 5*g = -3822, 3*w + 1957 - 5806 = 4*g. List the prime factors of w.
1279
Let v(y) = 216*y**3 - 1. Let u be v(-1). What are the prime factors of 9/(-18) - u/2?
2, 3
List the prime factors of 3214*(-9)/(-30) - (-48)/60.
5, 193
Suppose -3*i + i - 1925 = -5*k, -3*k + i = -1156. List the prime factors of k.
3, 43
Suppose -5*s - 77 = 28. Let h = -17 - s. Suppose -3*d = h*c - 206, 6*d = 3*c + d - 169. What are the prime factors of c?
53
Suppose 0 = 4*z + 8 - 16. Suppose 4*x - 734 - 254 = z*q, -q - 247 = -x. What are the prime factors of x?
13, 19
Let j(x) = 21*x + 1. Let a be j(-3). Let o = a - -111. List the prime factors of o.
7
Suppose 6*q = -8*q + 7252. List the prime factors of q.
2, 7, 37
Let c(q) = 59*q**3 - 2*q**2 + 10*q - 8. What are the prime factors of c(3)?
1597
Suppose -4*q = -232 - 304. Suppose 3*p = -q + 329. List the prime factors of p.
5, 13
Let t(m) = m**2 - 3*m - 10. Let b be t(-7). Suppose -b = -z - z. Let p = z - 12. What are the prime factors of p?
2, 3
Let j(l) = 5*l - 2. Let g be j(1). Suppose 195 = -5*y + v + g*v, 20 = 4*v. Let x = 67 + y. What are the prime factors of x?
2
Suppose -q - 2*q + q = 0. What are the prime factors of 6*(-6 - -43)/(q - -3)?
2, 37
Suppose -5844 = -11*u - 1488. List the prime factors of u.
2, 3, 11
Let t(a) = -a. Let s(x) = -23*x - 1. Let g(l) = s(l) - 5*t(l). Let r be g(4). Let p = -40 - r. List the prime factors of p.
3, 11
Suppose 0 = m - 149 + 4. Suppose -m = -5*b - 30. List the prime factors of b.
23
Let u = -433 - -1129. What are the prime factors of u?
2, 3, 29
What are the prime factors of -2 + -38*22/(-4)?
3, 23
Suppose 1100 = 14*o - 18*o. Let y = 483 + o. List the prime factors of y.
2, 13
Let k = 7 - 2. Suppose b + 47 = -k*y + 322, 4*y - 206 = 2*b. Suppose 0 = -l - 2*l + y. What are the prime factors of l?
2, 3
Suppose 2*m = r - 82, -5*r = -2*r - 3*m - 246. Suppose 4*k - 135 = 5*p + r, 5*k - 5*p = 275. Suppose -4*q + k + 22 = 0. What are the prime factors of q?
2, 5
Let s(i) = -4*i + 45. Let y(x) = -x + 1. Let n(u) = s(u) - y(u). List the prime factors of n(10).
2, 7
Let s(y) = 31*y**2 - 16*y + 89. List the prime factors of s(8).
5, 389
Suppose 0 = -4*n - 3*c - 4, -4*n + 4*c - 18 = 14. Let s(i) = -4*i - 4. List the prime factors of s(n).
2, 3
Suppose 4*r = 3*m - m + 8706, -4363 = -2*r + 3*m. List the prime factors of r.
2,
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z = k - 3. Sort 5, z, 0.1.
z, 0.1, 5
Let c = -6.7 - -7. Suppose -9*r - 105 = -30*r. Put c, 0, r in increasing order.
0, c, r
Let y = 4 - 1. Let j = 3.5 - y. Let o be (-5 - (1 + -3) - -2)*-1. Sort o, 3/2, j in ascending order.
j, o, 3/2
Suppose v - 5 + 7 = 0. Sort -0.3, -1/4, -0.1, v in decreasing order.
-0.1, -1/4, -0.3, v
Let m(t) = -2 + 2 + 0*t + t. Let w be m(-5). Suppose -h = 2*x - 1, -2*x + 3*h = h - 16. Put x, -3, w in ascending order.
w, -3, x
Let z = -573.98 - -579. Let l = -0.02 + z. Sort 3, l, -0.1 in decreasing order.
l, 3, -0.1
Let w = -59 + 59. Suppose 1 = 4*y - 19. Put -1, y, w in descending order.
y, w, -1
Suppose -4*t + 2 = -2*t. Put t, -3, 2 in increasing order.
-3, t, 2
Let j = -7 - -9. Let d = -3 + j. Let y = -0.8 - d. Sort -4, -3/7, y in ascending order.
-4, -3/7, y
Let u = -2 + 13. Let h = u + -6. Put -4, h, -2 in descending order.
h, -2, -4
Suppose 2*z = -4*g - 6, -g = 3*z + 2*z - 12. Let v be (-2)/(-9) + 7/9. Put v, 4, z in increasing order.
v, z, 4
Let t = 53 + -56. Put -0.3, t, 0 in descending order.
0, -0.3, t
Suppose 2*w + 9 = -w. Let j = 6 + -5.7. Sort j, -1/4, w in decreasing order.
j, -1/4, w
Let a = -10.5 + -11.1. Let i = a - -22. Sort i, -2/5, -1 in decreasing order.
i, -2/5, -1
Let i = 0.22 + 0.08. Let m = 0 + 0. Let z = m - 2. Put z, i, 1 in descending order.
1, i, z
Let c(f) be the third derivative of -f**4/12 - 5*f**3/6 - 3*f**2. Let p be c(-4). Put p, 0, 4 in descending order.
4, p, 0
Let u = -4 + 3.7. Suppose 3*b + 16 = a, 5*b + 29 = 2*a + 1. Put u, b, 0.2 in increasing order.
b, u, 0.2
Suppose 3*d = -2*i - 5, -2*i = 5*d - 0*i + 3. Put d, 5, 0 in decreasing order.
5, d, 0
Let v = -8 + 4. Let i(g) = -g**2 - 2*g - 3. Let m be i(-2). Let j = 2 + m. Put v, j, 4 in decreasing order.
4, j, v
Let o be (-2)/1 + ((-65)/(-9) - 5). Sort -2/15, o, -0.4, -3/4 in decreasing order.
o, -2/15, -0.4, -3/4
Let r = -14 + 9. Let l(z) = z**2 + 4*z - 4. Let y be l(r). Let i = -49 - -145/3. Sort i, -0.5, y in increasing order.
i, -0.5, y
Let p = 0.81 + -0.75. Put 1/5, 0.1, p in decreasing order.
1/5, 0.1, p
Let a(b) = b + 2. Let v be a(3). Let u = v - 10. Let q = -1 + 6. Put q, 2, u in increasing order.
u, 2, q
Let c = 0.16 + 12.84. Let i = c - 13.5. Put -0.3, -0.4, i in decreasing order.
-0.3, -0.4, i
Suppose -m - 4*u = -16, -2*m - 2*u + 18 = -4*m. Sort -1/7, -2/11, 3/8, m in descending order.
3/8, -1/7, -2/11, m
Let v = -9 - -2.4. Let y = 2.3 + v. Let x = -0.7 + y. Put -2/3, 5, x in descending order.
5, -2/3, x
Let p(w) = -2*w**2 + w + 1. Let m be p(2). Suppose -5*n - 7*n + 60 = 0. Put m, n, 4 in decreasing order.
n, 4, m
Let v be 2*(-2)/(-16) - 1. Let i = -635482/827541 - -2/8359. Let n = 6/11 + i. Sort v, n, 0.
v, n, 0
Let o be (1 + (-14)/(-6))*15/10. Sort -4, o, 1 in descending order.
o, 1, -4
Let z be (-6 - -2)/(-4) + -1. Sort -1, -37, z.
-37, -1, z
Let g(l) = 2*l - 2. Let y be g(2). Suppose -5*r = -3 - y. Let t = 8 + -12. Sort t, r, -2.
t, -2, r
Suppose -3*o - t + 3 = -0*o, -2*o - 4*t = -12. Put -3, o, -1, 1 in increasing order.
-3, -1, o, 1
Let n = -10 + 6. Let q be 3 - (5 - (1 + n)). Sort q, -3, -2.
q, -3, -2
Let u = -1.63 + 1.6. Put -3, -0.4, u in ascending order.
-3, -0.4, u
Suppose -v = -7 + 3. Suppose 3*u + v = u. Let m be (u + 0/1)/1. Put m, -1, 3 in descending order.
3, -1, m
Let m = 5 + -1. Suppose -h + 2*z = 4*h, -3*h = -m*z. Let g = h + -5. Sort 2, 5, g in increasing order.
g, 2, 5
Let a be 777/(-6) + (-2)/4. Let v be -3 - (a/8)/5. Sort v, -1, -5/6 in ascending order.
-1, -5/6, v
Let m = 0.24 - 0.44. Sort 3, m, 5.
m, 3, 5
Suppose 21*m - 23*m = 0. Put -1, -5, m, -3 in decreasing order.
m, -1, -3, -5
Let f = -3 - -1. Let j = -19 - -24. Sort f, -0.1, j in descending order.
j, -0.1, f
Let p be (-4)/10*2/(-4)*10. Put p, -1, 4, -3 in increasing order.
-3, -1, p, 4
Let v = -2 + 4. Suppose -2*c - 12 = -3*b + v, 4*b = 5*c + 28. Sort c, 5, -5 in ascending order.
-5, c, 5
Suppose 2*r - 3 = 5*r. Sort r, 4, -4 in decreasing order.
4, r, -4
Let a be (12 - 14)*(3/(-24) + 0). Let p = 2 - -3. Sort -1, p, a in decreasing order.
p, a, -1
Suppose -3*a + 18 = 2*u + u, 4*a - 5*u = -12. Sort a, 5, 1/2.
1/2, a, 5
Let r = -3.91 - 0.09. Let i = 7 + r. Let l be (-1)/1 - 9/(-7). Put l, 2, i in decreasing order.
i, 2, l
Let p(x) = x**2 - 6*x - 1. Let f be p(5). Suppose 49 = -6*u + 37. Put u, f, 0 in increasing order.
f, u, 0
Suppose -2*p = 4*p. Put -1/3, p, 2/17 in decreasing order.
2/17, p, -1/3
Let r be (-4)/26 + 186/26. Suppose 7*g = -7 - r. Let v be ((-1)/22)/((-2)/(-8)). Put -4/3, v, g in descending order.
v, -4/3, g
Suppose -5*j = 7 + 3. Put 2/13, j, 0.4 in descending order.
0.4, 2/13, j
Let s(l) = -2*l - 9. Let t be s(-6). Suppose 5*z - t*d - 1 = -13, -3*d + 6 = -3*z. Sort z, 0, 2 in ascending order.
z, 0, 2
Let j(r) = r**2 - 3*r - 3. Let z be j(5). Suppose 3 + z = 5*d. Sort 3, 0.2, d in descending order.
3, d, 0.2
Let l = -2 + 6. Suppose -5*f - 2*x = -24, -3*x + 0*x - 14 = -5*f. Let z(u) = -u**3 + 3*u**2 + 6*u - 6. Let r be z(f). Sort r, l, -4.
-4, r, l
Let y = -2 + 3. Suppose n = 6*n - 10. Sort y, -3, n in descending order.
n, y, -3
Let p = 12 + -16. Sort -8, p, 3/4.
-8, p, 3/4
Suppose -38*a = -36*a + 14. Sort 3, 2, -1, a in decreasing order.
3, 2, -1, a
Let p = -0.328 - -0.028. Sort -5, 4, -0.1, p.
-5, p, -0.1, 4
Let y = -2/213 + 223/1065. Sort -5, -4, y.
-5, -4, y
Let f(m) = -2*m - 1. Let g be f(-1). Suppose -g = q - 2*q. Let l = -7 + 2. Put q, -1, l in ascending order.
l, -1, q
Let l(w) = -w**2 - 2*w + 5. Let m be 14/(-1)*(-4)/8. Suppose -3*u + 3*g - 8 = m, 5*g - 5 = 0. Let r be l(u). Put -2, r, 2 in descending order.
2, -2, r
Let r = -0.005 - -0.215. Sort -0.4, -0.2, r.
-0.4, -0.2, r
Let g(o) = -o**2 - 3*o + 7. Let p be g(-5). Sort p, 5, 3 in decreasing order.
5, 3, p
Suppose -14 = -5*x + 6. Let d = -4 + 0. Put -2, d, x in ascending order.
d, -2, x
Suppose 0 = 7*q - 12*q - 45. Let p = q + 6. Sort p, -2, 5.
p, -2, 5
Let d be 45/(2 + 1) - 4. Put d, 1, -5 in increasing order.
-5, 1, d
Let h(b) = -2*b - 4. Let x be h(0). Put x, -1, -5 in increasing order.
-5, x, -1
Let q = -1.2 - 4.7. Let l = -0.1 + q. Let c = 5.6 + l. Sort c, 0.4, -0.5.
-0.5, c, 0.4
Let o = -0.4 + 0.9. Sort -4, -5, o in decreasing order.
o, -4, -5
Let r be 1 + -2 + (1 - -5). Suppose i = -r*o - 3*i + 10, o + 5*i = -19. Let t(m) = m - 5. Let c be t(o). Sort 0, c, -1 in decreasing order.
c, 0, -1
Let x(g) be the third derivative of -g**6/120 + 7*g**5/30 - 7*g**4/12 + 8*g**3/3 - 5*g**2. Let c be x(13). Sort -2, 0, c.
-2, 0, c
Let p = -56 + 284/5. Let j = -0.09 - -0.39. Let v be (-1 + 3)/(0 + 2). Sort p, v, j in increasing order.
j, p, v
Let n be 5/2*(-3 - -1). Let i be (7 - (0 - -5))/(-2*1). Sort n, -3, i.
n, -3, i
Let m be ((-10)/(-14) - 1) + 58/203. Put m, -1, 3, -20 in ascending order.
-20, -1, m, 3
Suppose -5*t + 18 = -27. Let m be (-3)/t - (-8)/6. Let g be ((-8)/(-7))/4*1. Put -1/4, m, g in increasing order.
-1/4, g, m
Suppose o = 3*t - 4 - 5, 2*o = -t - 4. Put 3, t, -5 in ascending order.
-5, t, 3
Let r = -11 + 17. Put 5, r, -2/3 in descending order.
r, 5, -2/3
Let x = 7 + -10. Let j be 3/(-9)*(-12)/(-2). Sort x, j, 4 in ascending order.
x, j, 4
Let y be -6*1/4 - (-12)/8. Sort y, 4, -4, -3.
-4, -3, y, 4
Let k(u) = -u**2 - 5*u - 2. Let c be k(-4). Let h = 11 + -10. Suppose 2*a - 4*w = -10, w + h + 1 = 5*a. Put -3, c, a in decreasing order.
c, a, -3
Let x = 11 - 14. Sort 1, x, -2 in increasing order.
x, -2, 1
Suppose -9 = 4*u - t, -5*u - 5*t - 10 + 5 = 0. Suppose 4*k + 10 = 2*k. Sort k, 0, u in decreasing order.
0, u, k
Let c = 3 + -8. Put -1, c, -4, 3 in decreasing order.
3, -1, -4, c
Let p = -47.38 + 47. Let c = -0.02 + p. Let i = 5.25 + -0.25. Put 2/5, i, c in increasing order.
c, 2/5, i
Let j(k) = -k**3 - 3*k**2 + 4*k - 3. Let b be j(-4). Suppose 5*t = t - 4. Sort b, 1, t.
b, t, 1
Suppose 4 = 4*h - 0*h. Suppose -5*c = -4*c - h. Sort 0, -5, c in decreasing order.
c, 0, -5
Suppose -1 = 4*c - 5*c - l, -c = -l - 3. Suppose 5 - c = -3*d. Put 5, d, -2 in increasing order.
-2, d, 5
Let w = 133 - 128. Sort -3, 2, -5, w in ascending order.
-5, -3, 2, w
Let z = -1.95 - -2.05. Put -9/7, z, 3 in increasing order.
-9/7, z, 3
Let s = -0.13 + 0.43. Put 1/5, 0.5, s in decreasing order.
0.5, s, 1/5
Suppose -2*t + 10 = -0. Put -3, 4, t in decreasing order.
t, 4, -3
Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of 83691*l**4 + 31*l**2 + 13*l + 110?
2008584*l
What is the third derivative of 365*n**5*u - 90*n**4*u - 4*n**2*u - 76956*n*u wrt n?
21900*n**2*u - 2160*n*u
Find the second derivative of 135385*f**3 + 47952*f + 6 wrt f.
812310*f
Find the third derivative of -10291*f**5 - 2*f**3 + 443407*f**2.
-617460*f**2 - 12
Find the second derivative of -4*o**4 - 257*o**3 - 5*o**2 - o + 23052.
-48*o**2 - 1542*o - 10
Differentiate -260*y**3 - 134*y**2 + 416731.
-780*y**2 - 268*y
What is the third derivative of 26250*w**6 - 21077*w**2?
3150000*w**3
What is the third derivative of -101*i**6 + 374*i**5 - 128*i**2 + 79*i wrt i?
-12120*i**3 + 22440*i**2
What is the derivative of a*l*x**2*y - 2*a*x**2*y - 2*a*x + 168*a - 438699*l*y - l + 11*x**2*y + 2*x*y - 2*x wrt l?
a*x**2*y - 438699*y - 1
Find the third derivative of 45*a**4*y - a**4 + a**3*s + 62*a**3*y + 5363*a**2*y - 4*a*s*y - s*y wrt a.
1080*a*y - 24*a + 6*s + 372*y
What is the third derivative of 89*b**3*g*v**2 - b**3*g + 18873*b**3*v - b**2*g - 22*b**2*v**2 - 5*b*g*v**2 + 12*b*g*v + 37*b*g + b*v**2 wrt b?
534*g*v**2 - 6*g + 113238*v
Find the third derivative of -2923*n*u**5 + 2*n*u**2 - 4*n*u + 1821*n - 28*u**5 + 2 wrt u.
-175380*n*u**2 - 1680*u**2
Find the second derivative of 766282*l**4 + 487174*l.
9195384*l**2
Find the third derivative of -911812*f**3 - 716*f**2 - 731.
-5470872
What is the second derivative of 1773*b**5*z - 2*b**2*z**3 - 18*b*z - 5*z**3 - 13*z**2 + 14 wrt b?
35460*b**3*z - 4*z**3
Find the third derivative of 202*m**3*s*u**3 - 14*m**3*s*u**2 - m**3 + 314*m**2*u**3 - 3*u**2 + 35*u wrt u.
1212*m**3*s + 1884*m**2
Differentiate -516*a**3*j - 10416*a**3 - a**2*j**2 - 2*a + 4*j**2 - j with respect to j.
-516*a**3 - 2*a**2*j + 8*j - 1
Differentiate 2*g**3 + 2*g**2 + 63991*g + 296215 with respect to g.
6*g**2 + 4*g + 63991
What is the third derivative of -2*l**3*u**2 + 13*l**3*u + 158*l**3 - 14*l**2 + l*u**2 - 133*l + 2 wrt l?
-12*u**2 + 78*u + 948
Find the third derivative of -29114*h**5 - 23*h**3 + 2148128*h**2 - h wrt h.
-1746840*h**2 - 138
What is the third derivative of t**3*v**2 + 260136*t**3 - 39*t**2*v - 97*t*v - 13*t + 2*v**2 wrt t?
6*v**2 + 1560816
Find the second derivative of 260*a**2*r**2 + 4*a**2*r + a**2 + 140*a*r**2 + 11*a*r + 5*r**2 + 2*r - 450 wrt r.
520*a**2 + 280*a + 10
What is the third derivative of 28533*c**4 + 17*c**3 + c**2 + 3697306 wrt c?
684792*c + 102
What is the second derivative of 2*k**3*l*w**2 - k**3*l*w - k**3*w - 409699*k**2*l*w**2 + 104*k**2*l*w + 4*k**2*w + 125*l*w wrt w?
4*k**3*l - 819398*k**2*l
What is the second derivative of 21*m**3*q**3 - 905*m**3*q**2 - 23*m**3 + 589*m**2*q wrt q?
126*m**3*q - 1810*m**3
What is the second derivative of 68765*l**2 - 33891*l wrt l?
137530
What is the third derivative of -66*i**4*y - 106*i**3*y - 7*i**3 - 7045*i**2*y - 2*i*y - 8*i wrt i?
-1584*i*y - 636*y - 42
What is the third derivative of 187501*l**4 - 26*l**2 + 616?
4500024*l
Find the first derivative of 2298*n**4 - 9*n**2 - 46747.
9192*n**3 - 18*n
Differentiate 87017*u + 9929 with respect to u.
87017
What is the derivative of -121*n**3 + 242*n**2 + 47887 wrt n?
-363*n**2 + 484*n
Find the third derivative of 3961*l**3*v**2 - 10*l**3*v - 288*l**2*v**2 - 157 wrt l.
23766*v**2 - 60*v
Find the second derivative of -522809*v**2 + 325936*v.
-1045618
Find the first derivative of 286716*l**3*n + 26*l**3 + 1587 wrt n.
286716*l**3
What is the second derivative of 6484*i**2*p**2*w**2 - 2*i**2*p*w**3 + 79*i**2*w - 64*i*p**2*w**3 + 1606*i*p*w**3 wrt p?
12968*i**2*w**2 - 128*i*w**3
Find the second derivative of -13*h**3 + 326*h**2 + 4*h + 5076.
-78*h + 652
Find the first derivative of 27*q**3 + 83*q + 84545.
81*q**2 + 83
Find the third derivative of 36366*p**3 - 37775*p**2.
218196
Find the second derivative of -2*j**5 + 13*j**4 + 320*j**2 - 780852*j.
-40*j**3 + 156*j**2 + 640
What is the second derivative of -c**2*x**2 - 2*c**2*x - 16980*c**2 + 74*c*x**2 - 2*x**3 + 2*x**2 wrt x?
-2*c**2 + 148*c - 12*x + 4
What is the third derivative of 659*d**3*f**3*n - 9*d**3*f**2 + 3*d**3*f - 2*d**2*f**3 - 64*d*f**3*n + 5*d wrt d?
3954*f**3*n - 54*f**2 + 18*f
Find the third derivative of 3932016*u**6 - 7500053*u**2 wrt u.
471841920*u**3
Differentiate -7267*h*n - 506119*h + 21*n**3 wrt n.
-7267*h + 63*n**2
What is the first derivative of -2*v**4 - 80745*v**2 + 2*v - 247987 wrt v?
-8*v**3 - 161490*v + 2
What is the first derivative of -423*q**3*u - 577*q**3 - 25*q**2 - 2*q*u + 5*u wrt u?
-423*q**3 - 2*q + 5
What is the second derivative of w**4 + 132136*w**3 + w**2 + 9811*w + 58?
12*w**2 + 792816*w + 2
Find the second derivative of 39*g**3*k**3 + 4*g**3 + 1219*g**2*k**3 + 2*g*k + 51*k + 465 wrt k.
234*g**3*k + 7314*g**2*k
What is the third derivative of -37*k**6 + 4*k**3*y - 409*k**3 - 38*k**2*y + 2*k*y + 1708*k wrt k?
-4440*k**3 + 24*y - 2454
What is the second derivative of -8*k**2*r**3 + 3180*k**2*r**2 + 32*k**2*r - 2*k**2 - 2506*k wrt r?
-48*k**2*r + 6360*k**2
Differentiate -224*b*i**3*u - 3*b*i**3 + b*i**2 - 2*b*i + 822*b - 40*u wrt u.
-224*b*i**3 - 40
What is the second derivative of -f**3*v**2 + 200932*f**3*v + 4*f**2*v**2 - 4980*f*v**2 + v**2 wrt v?
-2*f**3 + 8*f**2 - 9960*f + 2
Differentiate 277331*g*p*u + 2*g*u**2 + 3*g + p*u**2 + 31389*u**2 with respect to p.
277331*g*u + u**2
What is the derivative of -j**4 - 3813*j*k**2 + 4*j*k*y + 13*k**2*y - 2*k*y + 138*k - y wrt j?
-4*j**3 - 3813*k**2 + 4*k*y
Find the second derivative of -5*k**3*r**3 - 507*k**2*r**3 - 22*k*r**3 - 26*k + 6*r**3 wrt k.
-30*k*r**3 - 1014*r**3
Find the second derivative of 783*n*v**2 + n*v + 18*v**2 + 4880*v - 1 wrt v.
1566*n + 36
What is the third derivative of -1316494*z**3 - 231751*z**2?
-7898964
What is the second derivative of -4*c**5 - 3*c**4 + 474*c**2 + 210370*c?
-80*c**3 - 36*c**2 + 948
What is the third derivative of 103*t**4 - 778*t**3 - 286*t**2 - 14*t + 73?
2472*t - 4668
Differentiate 471649*n**3 + n - 1590319.
1414947*n**2 + 1
Find the second derivative of -m**4*x + 622*m**3*x - 4*m*x - 2*m + 1167*x wrt m.
-12*m**2*x + 3732*m*x
What is the third derivative of -1395*j**3*m**3 + 91*j**3*m + j**2 - 26212*m**3 - 2 wrt j?
-8370*m**3 + 546*m
Find the third derivative of -a**3*j**3 - a**3 + 23538*a**2*j**3 + 7774*a**2*j**2 + a**2*j + 2 wrt j.
-6*a**3 + 141228*a**2
Find the third derivative of -38*o*r**2*x**3 - o*r**2*x**2 - 20*o*r**2 + 4*o*r*x**2 - 159*o*r*x - 116*o*x**3 - 89*r**2*x**3 + 2*r**2*x**2 + 4*x wrt x.
-228*o*r**2 - 696*o - 534*r**2
Find the first derivative of -8*q**3*x**2 - 24748*q**3 + 1745*q*x**2 + 2*x wrt x.
-16*q**3*x + 3490*q*x + 2
What is the first derivative of 67830*d + 2824 wrt d?
67830
Differentiate 1380829*c**3*j**2 + 538976*j**2 wrt c.
4142487*c**2*j**2
What is the third derivative of -23654*d**6 - 2*d**4*f + d**2*f + 17*d**2 + 5*d*f - 2*f wrt d?
-2838480*d**3 - 48*d*f
What is the third derivative of -2581202*y**6 - 5094328*y**2 wrt y?
-309744240*y**3
Find the third derivative of -b**3*l**2*z**2 + 57069*b**3*z**3 - 2*b**2*l**2*z**3 - 711*b**2*z**3 + 2*b**2*z - 2*b*l*z**3 + 2*l**2*z wrt b.
-6*l**2*z**2 + 342414*z**3
Find the third derivative of 768136*k**4 - 6997*k**2 - 36 wrt k.
18435264*k
Differentiate 261*j**3*v - 35*j*l*v**2 + 4*j*l + 59*l*v**2 + 11035*l wrt j.
783*j**2*v - 35*l*v**2 + 4*l
What is the second derivative of 556788*y**4 - 373314*y?
6681456*y**2
Find the second derivative of a**3*b**2 + 2*a**3*b - 191*a**3 - 25*a**2*b**2 + 2*a**2 - 22229*a*b**2 + 2*a*b wrt b.
2*a**3 - 50*a**2 - 44458*a
What is the third derivative of -175769*t**4 - 12*t**3 - 3244*t**2 + 2*t + 8?
-4218456*t - 72
Find the second derivative of 2561959*a**4 - 1268483*a wrt a.
30743508*a**2
What is the second derivative of f*g**2*u + f*g*u - f*g + 3*g**2*u - 860*g**2 - 5*g*u + g - 11589 wrt g?
2*f*u + 6*u - 1720
Differentiate 2*n*x**3 - 4*n*x**2 - 8*n*x - 5*n - 314746*x**3 with respect to n.
2*x**3 - 4*x**2 - 8*x - 5
What is the third derivative of 2020*u**5 - 6*u**4 + 64*u**3 + 12*u**2 - 43553?
121200*u**2 - 144*u + 384
Find the third derivative of 39095*k**4 - 450*k**2 - k - 37.
938280*k
Find the second derivative of 9394*c**2*g**2 - 985*c*g - 8*g**2 + g wrt c.
18788*g**2
What is the second derivative of 154*b**2*g**3*l*w**2 - 2*b**2*g**2*l - 137*b**2*g*l - 64*b**2*l*w**2 + 4*b*g**3*l*w - 8*
|
{
"pile_set_name": "DM Mathematics"
}
|
0.2 and -1795354.
-359070.8
0.3*1990935
597280.5
46 times -0.030133
-1.386118
What is the product of 6590 and 1.181?
7782.79
36.723 * 184
6757.032
4652 times 610
2837720
Product of 7.524284 and 0.032.
0.240777088
Multiply 13729510 and 3.
41188530
-0.509 * -2.54
1.29286
Product of 22076.615 and 3.
66229.845
-7265 * -7469
54262285
Calculate 12471*-42.8.
-533758.8
-0.508*297187
-150970.996
Calculate -88540*98.
-8676920
Multiply -0.3 and -242.6956.
72.80868
21409 times 788
16870292
Work out 61150087 * 3.
183450261
What is the product of 8025.967 and 0.23?
1845.97241
Calculate -0.2719174*0.4.
-0.10876696
-3.41312 * 0.36
-1.2287232
-12.06*-0.10415
1.256049
Multiply 0.5036 and 16.36.
8.238896
Work out 78.22501 * 0.3.
23.467503
Work out 75008 * -2.487.
-186544.896
0.02*796.5877
15.931754
Work out -74150471 * -2.
148300942
What is the product of 0 and -1458353?
0
3368497 * -14
-47158958
Calculate -0.87*-184.7545.
160.736415
Multiply 0.3 and 0.4021988.
0.12065964
What is the product of -114.48908 and 2.2?
-251.875976
-71750 times -865
62063750
Multiply -19.778 and 299.8.
-5929.4444
2011468.2 * 0.2
402293.64
What is the product of -56.5267 and -483?
27302.3961
What is -0.03 times -1597892?
47936.76
47.967*-0.0053
-0.2542251
-11305725*-0.2
2261145
Product of -10716 and 5278.
-56559048
Calculate 100.29*-2088.
-209405.52
-217.832*-2
435.664
5713297 times -0.4
-2285318.8
Product of 446 and -0.05702.
-25.43092
What is the product of 156 and -2490570?
-388528920
Product of 0.5 and -24258994.
-12129497
Product of 198 and -3.57976.
-708.79248
What is -848507 times 0.78?
-661835.46
Work out 1.803 * -14136.
-25487.208
What is the product of -17050 and -1180.5?
20127525
-33744460 * -0.2
6748892
2.84006049 times 0.3
0.852018147
Calculate -103276*-168.
17350368
What is the product of 958 and -234869?
-225004502
What is -4055161 times 9?
-36496449
What is -7951.6 times -5?
39758
What is 2700720 times 0.16?
432115.2
What is -5683.1 times 0.7395?
-4202.65245
Calculate 0.02*-594.79.
-11.8958
279651 times -49
-13702899
What is the product of -5 and 18624512?
-93122560
-0.21456281 times 0.5
-0.107281405
What is -0.2 times 8.4798996?
-1.69597992
-80910 times -10
809100
Calculate 1.1194*0.31.
0.347014
Product of 114.9 and 6277.
721227.3
Multiply -11 and 70.69212.
-777.61332
35 times -0.05354
-1.8739
Calculate 0.022474*-586.
-13.169764
Work out -1164.3 * 0.468.
-544.8924
What is 2526 times 2057.28?
5196689.28
-84.8766 times 2
-169.7532
What is 2 times 97870097?
195740194
Work out 70753.91 * 6.
424523.46
Work out -1 * -1163276.
1163276
1485.21525*2
2970.4305
What is the product of 529.2 and 1.0472?
554.17824
Calculate 0.1*752.3093.
75.23093
0.14678 * -5751
-844.13178
Work out 5 * -317555.
-1587775
Work out 8833566 * 5.
44167830
What is -178532322 times -0.5?
89266161
Work out -1353228 * -0.5.
676614
Multiply -0.8033 and 149.
-119.6917
19 times 163392
3104448
What is -0.5 times -127666.6?
63833.3
What is -57.16 times -0.3326?
19.011416
Multiply -22815004 and 4.
-91260016
-129.7955 times -0.1
12.97955
Calculate -1.1*46619401.
-51281341.1
What is -125805 times -4.3?
540961.5
-3687999.28 * -2
7375998.56
What is the product of -32462283 and 1?
-32462283
What is -6578 times -4303?
28305134
What is 27704 times 283?
7840232
Calculate 1.2679*1314.
1666.0206
Calculate 56244*-3432.
-193029408
278899*-1793
-500065907
Work out -116.521 * -0.79.
92.05159
35583137 * -3
-106749411
Work out -1 * -0.01599928.
0.01599928
-0.8*-16753556
13402844.8
What is -0.032932 times -503.2?
16.5713824
390.3888 times -5
-1951.944
Calculate 3560*-2303.
-8198680
Product of 267676 and -257.
-68792732
-209 times 2139.4
-447134.6
Calculate -86383*-1.34.
115753.22
What is 319572 times -225?
-71903700
What is the product of 7878687 and 4?
31514748
What is 2 times -486204?
-972408
-83.655*-0.101
8.449155
-4 * 6908.379
-27633.516
-0.0059 * 96886
-571.6274
-17.03 times -150
2554.5
Product of 1.20651 and -240.6.
-290.286306
Work out 75 * -3226.25.
-241968.75
Work out -1027 * 49783.
-51127141
Work out 370348 * 74.
27405752
What is -14839726 times 0.4?
-5935890.4
-1.8287 * 0.8
-1.46296
-0.1 times 2139772
-213977.2
Multiply -263 and 25391.
-6677833
Work out -5375 * -4305.
23139375
-0.1 * -164249880
16424988
What is the product of -16.908 and -12?
202.896
-152767 times -4
611068
What is the product of -0.3 and 47399784?
-14219935.2
What is the product of 0.0408 and 683872?
27901.9776
Multiply -45924201 and 0.08.
-3673936.08
Product of 3544 and -7766.
-27522704
Product of 1 and -0.9460631.
-0.9460631
Work out -2 * -117049247.
234098494
0 times -216645.2
0
What is 547 times -1.74165?
-952.68255
18826763 * -1
-18826763
93 * 1494935
139028955
18 times -2444160
-43994880
Product of 0.06 and 20682319.
1240939.14
Multiply -21300 and 298.
-6347400
Calculate -52.592*741.
-38970.672
Product of -5.45 and -6.5763.
35.840835
What is the product of -6 and 119768.02?
-718608.12
Calculate 4*0.077406.
0.309624
-58870511 * 0.4
-23548204.4
Work out 17 * 4555.67.
77446.39
-109.861 * 30
-3295.83
1568.5*-0.13
-203.905
Product of 42683 and 2307.
98469681
-0.17 * -0.05212743
0.0088616631
-257720 * -2.546
656155.12
Work out -303 * -24.1666.
7322.4798
What is -84 times -291357?
24473988
Work out 0.5 * -11.31423.
-5.657115
Calculate 0.035*-6422.5.
-224.7875
0.396*-42837
-16963.452
Multiply 54326.9 and -0.04.
-2173.076
Work out 0.9 * -7139251.
-6425325.9
-87148*-54
4705992
-76.2 times -0.422
32.1564
What is the product of -1054 and 102.54?
-108077.16
1.405835*602
846.31267
-0.5 * -1737850
868925
Calculate -520.335*77.
-40065.795
3 times 396.581
1189.743
Work out 13096.19 * -0.4.
-5238.476
Multiply -908858.493 and -0.1.
90885.8493
0.22073343 times 0.3
0.066220029
What is -0.118 times 98.213?
-11.589134
0.4*-14.5331
-5.81324
Calculate 2.491*-0.454.
-1.130914
Work out 74019 * 0.222.
16432.218
Multiply 65.07 and 0.076.
4.94532
Calculate 0.6*77954.1.
46772.46
Multiply 156954 and 4.5.
706293
Multiply -21.6361289 and 0.2.
-4.32722578
-24.45*-0.2919
7.136955
-54*3.46988
-187.37352
-139928 times -1106
154760368
-285 * -3.72615
1061.95275
Calculate -18424989*-3.
55274967
Work out -144 * -267983.
38589552
What is -60973 times 15?
-914595
What is the product of -46479.835 and -24?
1115516.04
Multiply 6266358.7 and 0.01.
62663.587
4 times -127293
-509172
-1*8773791
-8773791
What is the product of 4 and -481749?
-1926996
0.036*128.94482
4.64201352
Multiply 504931 and 2.197.
1109333.407
Work out 0.0815 * 226989.
18499.6035
Calculate 0.02985*-1.837.
-0.05483445
Calculate -0.5*1.2791335.
-0.63956675
Multiply 1589 and 526.84.
837148.76
Multiply -681.55 and -2291.
1561431.05
-4.777292*1
-4.777292
Calculate 1*19987666.
19987666
0.02 times -2853042
-57060.84
Work out 12 * 27.17061.
326.04732
-27.3 * 35.23811
-962.000403
1207.72 * -305
-368354.6
Multiply 1151.3 and -168.
-193418.4
Product of -32069 and -6276.
201265044
59715103*0.2
11943020.6
What is the product of -0.2 and 244387.312?
-48877.4624
-1837241 * 4.5
-8267584.5
Work out -186308 * 68.
-12668944
Multiply -0.06808 and -4.276.
0.29111008
35976.3 * -0.42
-15110.046
-1709573*-30
51287190
Product of -0.4 and 1.101921.
-0.4407684
Product of 3.5347 and -0.075.
-0.2651025
10*40314.1
403141
Work out -40021.88 * 30.
-1200656.4
-1602.2342 times -0.1
160.22342
Calculate -4783*1659.
-7934997
5871662*0.4
2348664.8
-2463 * -0.30887
760.74681
4 * 2025970
8103880
-0.0125938 * 0.8
-0.01007504
-3.09722 times -0.0138
0.042741636
Multiply -15 and -0.0016003.
0.0240045
-28508.4 times -23
655693.2
Product of -0.5 and -1872654.
936327
What is the product of -1.9728 and 383?
-755.5824
129198 times -0.11596
-14981.80008
What is the product of -6 and 8979374?
-53876244
-10216416*2.7
-27584323.2
Multiply -73500 and 16301.
-1198123500
-223 * -61673
13753079
Product of -292.1317 and -18.
5258.3706
What is -1 times 47059570?
-47059570
2*1877.52
3755.04
Calculate -5*-29196.04.
145980.2
0.23*-2053160
-472226.8
Product of -205 and 41280.
-8462400
48.91*0.1644
8.040804
Product of -0.011 and 0.0549635.
-0.0006045985
Product of -167.008 and 1898.
-316981.184
Work out -689740 * 218.
-150363320
Product of -0.42042 and -79.
33.21318
What is the product of 1496.6 and 0.057342?
85.8180372
Calculate 205262*0.03.
6157.86
What is 13621 times 2148?
292
|
{
"pile_set_name": "DM Mathematics"
}
|
f picking 1 s and 2 t when three letters picked without replacement from ssttsststtsst.
105/286
Three letters picked without replacement from {o: 1, v: 2, t: 6, j: 5, f: 2, k: 3}. Give prob of picking 2 k and 1 v.
2/323
Two letters picked without replacement from {r: 2, b: 3, c: 3}. Give prob of picking 2 c.
3/28
Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, s: 9, r: 1, j: 5}.
1/120
Two letters picked without replacement from {x: 18, b: 2}. What is prob of picking 2 b?
1/190
Calculate prob of picking 4 z when four letters picked without replacement from hhzzzz.
1/15
Two letters picked without replacement from xbbxxbbxbbxxbbxbxx. Give prob of picking 2 b.
4/17
Calculate prob of picking 2 v, 1 e, and 1 k when four letters picked without replacement from ekevvdkekv.
9/70
Calculate prob of picking 1 v, 1 y, and 1 m when three letters picked without replacement from pmmvyympmmyyymyvmyy.
112/969
What is prob of picking 2 x, 1 v, and 1 m when four letters picked without replacement from xddmdvxxxdxddxxd?
3/260
Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {e: 1, n: 9, w: 1, x: 1}.
9/55
Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {g: 2, c: 2, k: 3, j: 1, x: 10, r: 2}.
3/19
Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnnnannnnannaa.
1001/3060
Calculate prob of picking 2 w and 1 s when three letters picked without replacement from wwssssssssswwswqwsw.
77/323
Two letters picked without replacement from aaaapaaia. Give prob of picking 1 p and 1 i.
1/36
Four letters picked without replacement from vwvvvvvvcvvvvv. What is prob of picking 1 c and 3 v?
20/91
Calculate prob of picking 1 s and 1 b when two letters picked without replacement from obswobb.
1/7
Four letters picked without replacement from {r: 1, m: 9, o: 1, j: 5}. Give prob of picking 2 j, 1 m, and 1 r.
9/182
Three letters picked without replacement from daadx. What is prob of picking 1 a and 2 d?
1/5
Two letters picked without replacement from {v: 2, g: 1, h: 4}. What is prob of picking 2 v?
1/21
Two letters picked without replacement from {s: 2, r: 11}. What is prob of picking 1 s and 1 r?
11/39
Three letters picked without replacement from {r: 1, c: 3, u: 2, e: 5, a: 1}. Give prob of picking 1 e and 2 c.
3/44
Three letters picked without replacement from emmmmmmmmmkmmkmrmem. Give prob of picking 2 e and 1 k.
2/969
Calculate prob of picking 2 n when two letters picked without replacement from {b: 1, n: 3, m: 3}.
1/7
Calculate prob of picking 4 j when four letters picked without replacement from jjjjj.
1
Calculate prob of picking 2 j, 1 b, and 1 x when four letters picked without replacement from bxxgxgnjgggnjnj.
3/455
What is prob of picking 1 p and 2 t when three letters picked without replacement from {t: 3, p: 1}?
3/4
Calculate prob of picking 2 k when two letters picked without replacement from kxxkkk.
2/5
Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, n: 7, v: 2}.
1/220
Calculate prob of picking 1 v, 1 g, and 1 e when three letters picked without replacement from evgvg.
2/5
Four letters picked without replacement from {c: 4, y: 3, j: 1}. What is prob of picking 2 c and 2 y?
9/35
What is prob of picking 1 h and 1 g when two letters picked without replacement from {b: 8, g: 3, h: 2, n: 1, v: 2, o: 4}?
3/95
Two letters picked without replacement from {t: 2, g: 1, f: 1, e: 1}. Give prob of picking 1 f and 1 t.
1/5
Two letters picked without replacement from jdvvvvdujjdadd. What is prob of picking 2 d?
10/91
What is prob of picking 1 v and 1 h when two letters picked without replacement from hvvhh?
3/5
Four letters picked without replacement from {w: 5, a: 7}. What is prob of picking 2 a and 2 w?
14/33
Four letters picked without replacement from cddccdddccddcddc. Give prob of picking 2 c and 2 d.
27/65
Two letters picked without replacement from {v: 5, q: 11}. What is prob of picking 1 v and 1 q?
11/24
What is prob of picking 1 s and 1 c when two letters picked without replacement from qqsxxqxcccq?
3/55
Calculate prob of picking 3 n when three letters picked without replacement from {n: 15, d: 4}.
455/969
Four letters picked without replacement from xoxooooxxo. What is prob of picking 1 o and 3 x?
4/35
Two letters picked without replacement from accccaccaccc. Give prob of picking 1 a and 1 c.
9/22
Calculate prob of picking 3 s when three letters picked without replacement from {k: 3, s: 11}.
165/364
What is prob of picking 1 a, 1 z, and 1 x when three letters picked without replacement from {x: 5, n: 2, a: 5, z: 3}?
15/91
Four letters picked without replacement from wwwyyxwyywwyyxwxyy. Give prob of picking 1 w and 3 y.
98/765
Four letters picked without replacement from {d: 13, o: 6}. What is prob of picking 4 o?
5/1292
Three letters picked without replacement from ppppvrpuupvpujjujpp. What is prob of picking 1 p, 1 u, and 1 v?
24/323
Four letters picked without replacement from {z: 3, m: 17}. What is prob of picking 1 m and 3 z?
1/285
Four letters picked without replacement from {w: 1, e: 1, n: 1, f: 1, y: 1}. What is prob of picking 1 y, 1 n, 1 e, and 1 w?
1/5
Three letters picked without replacement from ccooccco. What is prob of picking 3 o?
1/56
Three letters picked without replacement from {z: 2, n: 1, a: 2, o: 2, m: 10, d: 2}. What is prob of picking 1 o, 1 n, and 1 a?
4/969
Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {b: 6, l: 3, d: 1, m: 3, w: 5}.
5/272
Four letters picked without replacement from {l: 2, i: 1, c: 2, y: 1}. What is prob of picking 2 c, 1 l, and 1 i?
2/15
Two letters picked without replacement from kkkkokkkko. Give prob of picking 2 k.
28/45
Three letters picked without replacement from {g: 14, l: 1, m: 1}. What is prob of picking 3 g?
13/20
Calculate prob of picking 2 i when two letters picked without replacement from {c: 6, i: 2, s: 4}.
1/66
Two letters picked without replacement from {m: 8, n: 1, w: 11}. Give prob of picking 2 n.
0
What is prob of picking 1 w, 1 l, and 1 h when three letters picked without replacement from {w: 2, h: 2, l: 6, b: 3, u: 2}?
24/455
Four letters picked without replacement from {m: 2, q: 7, p: 6}. What is prob of picking 4 p?
1/91
Three letters picked without replacement from efddtfppptdfffo. Give prob of picking 2 p and 1 t.
6/455
What is prob of picking 2 g when two letters picked without replacement from gggggmggggmgggqm?
11/20
Two letters picked without replacement from pppfxxxpfx. Give prob of picking 2 x.
2/15
What is prob of picking 1 o and 3 i when four letters picked without replacement from ibbibiobbbiopbopb?
3/595
Two letters picked without replacement from {p: 2, d: 1, a: 1, z: 1, m: 1, e: 1}. Give prob of picking 1 z and 1 a.
1/21
Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {z: 6, b: 2, s: 5, t: 5, l: 1}.
5/171
Two letters picked without replacement from mxyxyxnx. What is prob of picking 1 m and 1 n?
1/28
Four letters picked without replacement from {j: 1, m: 2, s: 2, y: 1, h: 1}. What is prob of picking 2 m, 1 j, and 1 s?
2/35
Three letters picked without replacement from {m: 4, s: 5, z: 2}. Give prob of picking 3 m.
4/165
Calculate prob of picking 2 p when two letters picked without replacement from {l: 5, y: 6, p: 4}.
2/35
Four letters picked without replacement from jjjajajjjjajjajjajj. What is prob of picking 1 j and 3 a?
35/969
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {i: 2, d: 2, e: 2, u: 2, r: 8}.
2/15
Four letters picked without replacement from zzkzzzrrrrkzzzkkk. What is prob of picking 4 z?
1/34
Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {t: 11, i: 2, h: 3, f: 1, e: 1}.
1/272
Two letters picked without replacement from {k: 5, j: 4, z: 3, d: 4, t: 1, o: 1}. What is prob of picking 1 d and 1 t?
4/153
Two letters picked without replacement from pppbpbipe. Give prob of picking 1 p and 1 i.
5/36
Two letters picked without replacement from stllttddrtlltstrtltt. What is prob of picking 1 t and 1 l?
9/38
Calculate prob of picking 2
|
{
"pile_set_name": "DM Mathematics"
}
|
5840*h**3
Let h(x) be the third derivative of x**6/120 + 49*x**4/24 + 1262*x**3 + 8557*x**2. Find the first derivative of h(d) wrt d.
3*d**2 + 49
Let v(t) be the first derivative of 0*t**5 - 34 + 0*t**3 + 0*t - 36*t**2 + 0*t**4 - 79/6*t**6. Find the second derivative of v(p) wrt p.
-1580*p**3
Let n be 4/14 + (-5707)/(-91). Suppose n = 5*z - 12. Find the second derivative of 9*j**5 + 18*j**3 + z*j + 4*j - 18*j**3 wrt j.
180*j**3
Let i(z) be the second derivative of 17*z + 4/3*z**4 + 1/3*z**3 + 0 + 9/2*z**2. Find the second derivative of i(p) wrt p.
32
Let v(n) = -5*n - 48. Let r be v(-17). Let w = r + -35. What is the derivative of 39 + 48*h**2 + h**3 - 48*h**w wrt h?
3*h**2
Let p be 550/150 - 2/3. What is the second derivative of 25*o**p - 27*o - 63*o - 4*o wrt o?
150*o
Let h(p) = -192*p**2 - 91*p - 6. Let n(b) = b - 6. Let m(f) = -2*h(f) + 2*n(f). What is the second derivative of m(a) wrt a?
768
Let w(g) be the first derivative of -897*g**3 + 1981*g - 533. What is the derivative of w(d) wrt d?
-5382*d
Let u = 43 - 14. Suppose -20*f + u = -19*f. What is the third derivative of 35*j**5 - 81*j**5 + 3*j**2 + f*j**5 wrt j?
-1020*j**2
What is the second derivative of 3083*g - 1572*g - 8674*g - g**4 - 2*g**2 - 237*g**5 wrt g?
-4740*g**3 - 12*g**2 - 4
Find the third derivative of -1598*g**3 + 3202*g**3 - 1599*g**3 + 5348*g**2 + 94*g**5 + g**4 wrt g.
5640*g**2 + 24*g + 30
What is the third derivative of 5 - 20 - 6 + 174*k**6 + 26*k**6 - 10*k**2 + 7*k**2 wrt k?
24000*k**3
Let f = -32 + 36. Suppose 0 = -0*s + s - f. Find the third derivative of 41*l**4 - 78*l**s - 19*l**2 + 22*l**4 wrt l.
-360*l
Find the second derivative of -1389*n**4 + 744*n**4 - 186 + 2336*n**4 - 2*n + 1777*n**4 + 206 wrt n.
41616*n**2
Suppose 10 = 5*x, 5*y + 3*x - 405 = -2*x. What is the third derivative of 0*t**2 - 1 + y*t**3 + t**2 + 23 + 64*t**3 - 3*t**2 wrt t?
858
Suppose s - 4 = -4*q + 4, 10 = 5*q + 2*s. Suppose -223 = -2*p + 197. What is the first derivative of -13*a**q + 420 - 201 - p wrt a?
-26*a
Let v = -557 - -725. Find the third derivative of 272*r**2 + v - 331 + 123*r**5 + 163 wrt r.
7380*r**2
Let d(f) be the first derivative of 2*f**2 + 4*f + 3. Let m be d(0). What is the third derivative of 17*y**3 + 207 + m*y**2 - 207 wrt y?
102
Let d(s) be the second derivative of 8*s + 0*s**5 - 2 - 1/14*s**7 + 3/2*s**4 + 0*s**3 + 0*s**6 + 0*s**2. What is the third derivative of d(m) wrt m?
-180*m**2
Let w(z) be the first derivative of 8752*z**3/3 - 7228*z + 6374. Find the first derivative of w(t) wrt t.
17504*t
Let o(d) = d**4 - d**3 - d**2 + d - 2. Let m(s) = 2*s**3 + s**2 - s - 18. Suppose 10*j - 200 = -230. Let z(b) = j*m(b) - 3*o(b). Differentiate z(h) wrt h.
-12*h**3 - 9*h**2
Let m(d) = -354*d**2 - 31157*d + 2611. Let j(y) = 104*y**2 + 8902*y - 746. Let n(t) = 17*j(t) + 5*m(t). What is the derivative of n(b) wrt b?
-4*b - 4451
Let f(m) be the third derivative of -53*m**6/120 + m**5/20 - 2006*m**3/3 + 1657*m**2 - 1. What is the derivative of f(q) wrt q?
-159*q**2 + 6*q
Let u(o) = 3*o**2 + 10*o - 8. Let k be u(-5). What is the second derivative of -59*l**3 + 13*l**2 - k*l**2 - 83*l + 4*l**2 wrt l?
-354*l
Let p(q) = -2712*q**2 - 2*q + 83. Let b(r) = 8136*r**2 + 5*r - 248. Let v(h) = 4*b(h) + 11*p(h). Find the second derivative of v(l) wrt l.
5424
Let r(q) = 58*q**4 - 2*q**3 - 27*q**2 - 2*q + 1. Let b(t) = -t**4 + 2*t**3 + 2*t**2 + t - 1. Let f(n) = b(n) + r(n). Find the third derivative of f(a) wrt a.
1368*a
Let u(r) be the third derivative of 241*r**6/120 - r**5/30 - 920*r**3/3 - 1241*r**2. Find the first derivative of u(j) wrt j.
723*j**2 - 4*j
Let j(i) be the first derivative of 314*i**7/7 + i**6/3 - 32*i**3/3 - 8*i - 4477. Find the third derivative of j(f) wrt f.
37680*f**3 + 120*f**2
Let n(l) = 3*l + 35. Let b be n(-12). Let i be (-1 + 2)*(b*1 + 3). Find the third derivative of 0*r**2 + 4*r**2 + i*r**2 - 20*r**6 wrt r.
-2400*r**3
Suppose 5*d = -5*q + 230, 11*d - 7*d - 3*q - 191 = 0. What is the third derivative of -d*x**3 + 198*x**2 - 71*x**2 + 17*x**2 wrt x?
-282
Let a(i) = 7716*i**2 - 4105*i + 7. Let y(r) = 7*r - 3. Let d(x) = a(x) + 2*y(x). Find the second derivative of d(o) wrt o.
15432
Let l(t) be the third derivative of 0 + 17*t**3 + 2/3*t**4 + 11*t**2 + 1/60*t**5 + 7*t. Find the first derivative of l(x) wrt x.
2*x + 16
Let d(u) be the first derivative of 0*u**3 + 0*u**2 + 0*u**4 - 2/5*u**5 + 17*u - 88. Differentiate d(s) with respect to s.
-8*s**3
Let j(z) be the second derivative of -2*z**7/21 - 71*z**6/30 + z**4/2 - 279*z**3/2 + 11451*z. Find the second derivative of j(x) wrt x.
-80*x**3 - 852*x**2 + 12
Find the third derivative of -251*q**6 + 985*q**2 + 83*q**4 + 760*q**6 - 253*q**6 - 252*q**6 wrt q.
480*q**3 + 1992*q
Let b(t) = 6*t**2 + 12*t + 37. Let i(f) = f**2 - f + 1. Let v(k) = -b(k) + 5*i(k). Let q be v(-14). Differentiate 2 - 14*y - q*y + 7 - 2*y with respect to y.
-26
Let b(w) = 393*w**3 - 42*w**2 - 15*w - 3460. Let f(i) = 7*i**2 + 2*i - 1. Let l(g) = b(g) + 6*f(g). What is the derivative of l(q) wrt q?
1179*q**2 - 3
Let z(r) = r + 31. Let m be z(-11). What is the second derivative of -6*p + 6*p - 2*p + 95*p**2 - m*p wrt p?
190
Let j(x) = 6*x + 33. Let p be j(-5). Find the third derivative of 20*z**2 - 56*z**2 - 68*z**p + 10*z**2 wrt z.
-408
Let m = -10 + 7. Let t be ((-1)/m)/(2/18). What is the third derivative of -u**3 - 15*u**2 + 43*u**2 - u**t - 2*u**3 wrt u?
-24
Let b(r) be the second derivative of 0*r**2 - 2*r + 7/6*r**3 - 145/12*r**4 + 14. Find the second derivative of b(u) wrt u.
-290
Suppose -2*g + 2*l = -32, -2*l + 71 = 5*g + 2*l. Suppose g*b - 2520 = -0*b. Find the third derivative of 10*k**2 + 168*k**3 - b*k**3 + 6*k**5 wrt k.
360*k**2
What is the second derivative of 1 - 8298*i - 121*i**4 - 20*i**3 + 3104*i + 140*i**4 - 1 wrt i?
228*i**2 - 120*i
Suppose 5 = -p + 28. Suppose 3*l = 32 - p. What is the third derivative of -2*o**2 - 13*o**3 + 16*o**6 - 16*o**3 + 24*o + 29*o**l wrt o?
1920*o**3
Let v(t) be the first derivative of 0*t**2 + 5/6*t**4 + 7*t - 19 - 4/3*t**3. Let j(y) be the first derivative of v(y). Find the second derivative of j(i) wrt i.
20
Let a(m) be the first derivative of -111*m**5 - 2*m**3/3 - 279*m**2 + 998. What is the second derivative of a(r) wrt r?
-6660*r**2 - 4
Suppose 5*j - 7 = 143. Suppose -4*w = -5*o - j - 28, -4*o - 8 = 0. What is the third derivative of -6*x**4 - 4*x**2 + 10*x**4 + w*x**2 wrt x?
96*x
Let x(d) = d - 14. Let v be x(8). Let o = v + 12. Find the third derivative of 0*p**6 + p**2 - p**2 - 3*p**o - 4*p**2 wrt p.
-360*p**3
Let x(v) = 6*v - 10. Suppose -2*l = -n - 6, 2*n - 5*l + 5 + 12 = 0. Let g be x(n). What is the first derivative of -11*a + 24*a - 3 + g*a wrt a?
27
Suppose -5*a - 3*j = -4*j - 10, 4*a - 4*j - 24 = 0. Let k be a/3 - 44/(-12). Differentiate k + 0 + 8*i**4 + 0*i**4 wrt i.
32*i**3
Find the second derivative of -2436759*q**4 + 2436695*q**4 - 2*q**2 + 3*q**3 + 1933*q - 2*q**3 wrt q.
-768*q**2 + 6*q - 4
Suppose -3*w = -34 + 7. Let f(g) be the first derivative of -14 + 3*g + w*g**2 + 9*g + 3*g + g**2. Find the first derivative of f(p) wrt p.
20
Let u(x) = -x**4 - x**3 + x**2. Let j(v) = -666*v**4 - 3*v**3 + 493*v**2. Let a(n) = -j(n) + 3*u(n). What is the third derivative of a(g) wrt g?
15912*g
What is the second derivative of -21*a**4 - 119*a**4 - 70*a + 14*a**4 wrt a?
-1512*a**2
What is the third derivative of 40*p**6 - 5049*p**6 - 1891*p**2 - 1639*p**6 + 7420*p**2 + 423*p**6 + 2*p**3 wrt p?
-747000*p**3 + 12
Find the second derivative of 648*f - 6243*f + 751461*f**2 - 747707*f**2 wrt f.
7508
Suppose 2*p = -2*p + 5*v + 180, 8 = -2*v. Let h = -29 + p. What is the second derivative of -6 + 4 + 2 - 15*s - h*s**2 wrt s?
-22
Let w(a) be the first derivative of -731*a**4/2 + a**3/3 - 1045*a + 1015. Differentiate w(g) with respect to g.
-4386*g**2 + 2*g
Find the third derivative of 36*o**5 + 1192*o**4 + 1658*o**2 - 68*o**5 - 1194*o**4 + 0*o**3 + 12*o**3 + 1 wrt o.
-1920*o**2 - 48*o + 72
Let x = -5611 + 5613. Let u(k) be the second derivative of 27*k + 0*k**4 + 27/20*k**5 + 31/6*k**3 + 0 + 0*k**x. What is the second derivative of u(l) wrt l?
162*l
Let b(f) = 14*f**5 + 8*f**4 + 93*f**3 + 12*f - 37. Let g(m) = -m**5 - m**4 + 1. Let l(h) = -b(h) - 8*g(h). What is the second derivative of l(s) wrt s?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
3
What is the units digit of 1809?
9
What is the units digit of 27873?
3
What is the units digit of 4019?
9
What is the hundreds digit of 18251?
2
What is the tens digit of 3155?
5
What is the tens digit of 260?
6
What is the units digit of 406?
6
What is the thousands digit of 48126?
8
What is the hundreds digit of 2113?
1
What is the hundreds digit of 1932?
9
What is the tens digit of 29642?
4
What is the thousands digit of 15723?
5
What is the thousands digit of 67231?
7
What is the units digit of 76903?
3
What is the units digit of 6038?
8
What is the tens digit of 3127?
2
What is the hundreds digit of 824?
8
What is the hundreds digit of 610?
6
What is the hundreds digit of 65600?
6
What is the thousands digit of 2394?
2
What is the hundreds digit of 2195?
1
What is the tens digit of 898?
9
What is the units digit of 82?
2
What is the hundreds digit of 5436?
4
What is the units digit of 2819?
9
What is the ten thousands digit of 30309?
3
What is the units digit of 55229?
9
What is the thousands digit of 77768?
7
What is the hundreds digit of 295?
2
What is the tens digit of 51308?
0
What is the hundreds digit of 40531?
5
What is the tens digit of 2397?
9
What is the tens digit of 9929?
2
What is the thousands digit of 67423?
7
What is the tens digit of 15906?
0
What is the units digit of 277?
7
What is the hundreds digit of 462?
4
What is the hundreds digit of 1867?
8
What is the thousands digit of 9750?
9
What is the hundreds digit of 43266?
2
What is the units digit of 430?
0
What is the thousands digit of 26364?
6
What is the units digit of 4133?
3
What is the tens digit of 37?
3
What is the ten thousands digit of 24719?
2
What is the units digit of 7649?
9
What is the hundreds digit of 7728?
7
What is the tens digit of 85304?
0
What is the tens digit of 2917?
1
What is the hundreds digit of 1797?
7
What is the hundreds digit of 1461?
4
What is the thousands digit of 5438?
5
What is the ten thousands digit of 15835?
1
What is the tens digit of 1875?
7
What is the units digit of 51?
1
What is the units digit of 1698?
8
What is the thousands digit of 25077?
5
What is the units digit of 1460?
0
What is the ten thousands digit of 40963?
4
What is the ten thousands digit of 68836?
6
What is the units digit of 19212?
2
What is the hundreds digit of 1528?
5
What is the units digit of 1388?
8
What is the hundreds digit of 24441?
4
What is the thousands digit of 1194?
1
What is the hundreds digit of 271?
2
What is the hundreds digit of 1635?
6
What is the hundreds digit of 3241?
2
What is the tens digit of 14710?
1
What is the tens digit of 59193?
9
What is the tens digit of 568?
6
What is the units digit of 2505?
5
What is the thousands digit of 8878?
8
What is the tens digit of 93?
9
What is the hundreds digit of 2942?
9
What is the tens digit of 1086?
8
What is the units digit of 11513?
3
What is the units digit of 47509?
9
What is the units digit of 26530?
0
What is the units digit of 28894?
4
What is the units digit of 5741?
1
What is the units digit of 576?
6
What is the thousands digit of 1622?
1
What is the hundreds digit of 16932?
9
What is the ten thousands digit of 106078?
0
What is the hundreds digit of 10401?
4
What is the tens digit of 7342?
4
What is the hundreds digit of 22900?
9
What is the ten thousands digit of 39322?
3
What is the units digit of 21585?
5
What is the units digit of 6?
6
What is the hundreds digit of 4308?
3
What is the tens digit of 44564?
6
What is the units digit of 24680?
0
What is the hundreds digit of 21794?
7
What is the tens digit of 13263?
6
What is the ten thousands digit of 38533?
3
What is the hundreds digit of 435?
4
What is the hundreds digit of 8283?
2
What is the thousands digit of 6708?
6
What is the thousands digit of 14520?
4
What is the hundreds digit of 44739?
7
What is the tens digit of 1537?
3
What is the tens digit of 5396?
9
What is the units digit of 42695?
5
What is the thousands digit of 2609?
2
What is the tens digit of 866?
6
What is the tens digit of 7939?
3
What is the thousands digit of 14226?
4
What is the tens digit of 1427?
2
What is the units digit of 18623?
3
What is the units digit of 52473?
3
What is the thousands digit of 9695?
9
What is the units digit of 252?
2
What is the tens digit of 47?
4
What is the units digit of 446?
6
What is the thousands digit of 44579?
4
What is the tens digit of 978?
7
What is the tens digit of 827?
2
What is the thousands digit of 4110?
4
What is the hundreds digit of 3032?
0
What is the units digit of 4734?
4
What is the units digit of 1048?
8
What is the units digit of 50993?
3
What is the hundreds digit of 2714?
7
What is the hundreds digit of 32448?
4
What is the tens digit of 27?
2
What is the units digit of 1504?
4
What is the tens digit of 1224?
2
What is the ten thousands digit of 21387?
2
What is the hundreds digit of 4042?
0
What is the ten thousands digit of 62790?
6
What is the units digit of 5217?
7
What is the units digit of 1341?
1
What is the units digit of 13332?
2
What is the units digit of 15396?
6
What is the units digit of 80725?
5
What is the units digit of 9905?
5
What is the ten thousands digit of 126331?
2
What is the tens digit of 5135?
3
What is the hundreds digit of 25714?
7
What is the tens digit of 6205?
0
What is the ten thousands digit of 90355?
9
What is the hundreds digit of 17193?
1
What is the thousands digit of 21371?
1
What is the thousands digit of 15319?
5
What is the hundreds digit of 33742?
7
What is the units digit of 692?
2
What is the hundreds digit of 273?
2
What is the ten thousands digit of 14583?
1
What is the hundreds digit of 3896?
8
What is the units digit of 571?
1
What is the hundreds digit of 6267?
2
What is the thousands digit of 7593?
7
What is the hundreds digit of 118434?
4
What is the hundreds digit of 21582?
5
What is the units digit of 623?
3
What is the tens digit of 11068?
6
What is the units digit of 1190?
0
What is the units digit of 17601?
1
What is the units digit of 6812?
2
What is the thousands digit of 4669?
4
What is the thousands digit of 7355?
7
What is the hundreds digit of 51175?
1
What is the hundreds digit of 55481?
4
What is the hundreds digit of 1415?
4
What is the tens digit of 4507?
0
What is the tens digit of 6934?
3
What is the ten thousands digit of 18036?
1
What is the thousands digit of 4773?
4
What is the tens digit of 667?
6
What is the thousands digit of 5415?
5
What is the tens digit of 7179?
7
What is the thousands digit of 5087?
5
What is the tens digit of 658?
5
What is the hundreds digit of 3015?
0
What is the tens digit of 721?
2
What is the hundreds digit of 48163?
1
What is the thousands digit of 5895?
5
What is the thousands digit of 12940?
2
What is the hundreds digit of 1957?
9
What is the hundreds digit of 38429?
4
What is the units digit of 521?
1
What is the ten thousands digit of 63724?
6
What is the hundreds digit of 430?
4
What is the units digit of 15?
5
What is the tens digit of 106?
0
What is the hundreds digit of 30133?
1
What is the units digit of 107?
7
What is the hundreds digit of 28373?
3
What is the hundreds digit of 149?
1
What is the thousands digit of 3877?
3
What is the tens digit of 3275?
7
What is the thousands digit of 12553?
2
What is the hundreds digit of 21861?
8
What is the units digit of 7260?
0
What is the tens digit of 1410?
1
What is the thousands digit of 42200?
2
What is the units digit of 4705?
5
What is the tens digit of 10829?
2
What is the ten thousands digit of 13586?
1
What is the tens digit of 16507?
0
What is the tens digit of 84811?
1
What is the hundreds digit of 77103?
1
What is the ten thousands digit of 75802?
7
What is the hundreds digit of 2120?
1
What is the tens digit of 3861?
6
What is the tens digit of 2344?
4
What is the tens digit of 54902?
0
What is the thousands digit of 2150?
2
What is the hundreds digit of 92093?
0
What is the hundreds digit of 2316?
3
What is the thousands digit of 31332?
1
What is the units digit of 1121?
1
What is the units digit of 4597?
7
What is the units digit of 46062?
2
What is the tens digit of 595?
9
What is the thousands digit of 4140?
4
What is the hundreds digit of 1418?
4
What is the tens digit of 1978?
7
What is the thousands digit of 28507?
8
|
{
"pile_set_name": "DM Mathematics"
}
|
h
Let p = 49/2 + -25. Let f be ((-4)/(-21))/(2/3). Which is the closest to 1? (a) 3 (b) f (c) p
b
Let r be 2 + 8*4/(-14). What is the closest to r in -4/7, -4, -0.3?
-0.3
Let y = 1.5 - 1.3. Let o = -51/28 - -11/7. What is the nearest to o in -3, 0.4, y?
y
Let w = -0.224 - 0.776. Which is the nearest to 4? (a) 3 (b) w (c) -0.2
a
Let o be (-38)/(-30) - (-6)/(-10). What is the closest to -2 in o, -5, -4?
-4
Let y = 38.9 + -36. Let n = y - -0.1. Let f = 81 - 81. What is the closest to f in n, 1/3, -2?
1/3
Suppose 7*k - 4 = 3*k. Which is the nearest to k? (a) 1 (b) 0.12 (c) 2
a
Let h = -0.71 - -0.41. Which is the closest to 0? (a) 5 (b) -2 (c) h
c
Let w = 0.224 - 0.124. What is the nearest to -5 in w, -4, 0.5?
-4
Let v = -8.83 + -0.17. Let i = -14 - v. Which is the nearest to 0.1? (a) -2/7 (b) -1/8 (c) i
b
Let x = -4.2 - 0.8. Let q = -7 + 4. Let j = -0.01 + 0.01. Which is the nearest to j? (a) x (b) -0.4 (c) q
b
Let o = 219655/9 + -72556/3. Let m = 221 - o. Let z be (10/(-14))/((-18)/21). Which is the nearest to 0? (a) -2 (b) m (c) z
b
Let f = -6 - -6.1. Let v = 3 - 2. Let u be (-18)/24 + 14/24. What is the nearest to v in u, 4, f?
f
Suppose 0 = 7*j - 3*j - 4. Let h = -34/13 - -400/143. Let o = 0 - 1. What is the closest to 1 in j, o, h?
j
Let m = 8 - 7. Let a(k) = -4*k**2 - 1. Let u be a(m). What is the closest to 0.1 in 4, -4, u?
4
Let j = -5.96 - -6. Let m = -0.06 - j. Let f = 0 + m. Which is the nearest to f? (a) 5/2 (b) 0.5 (c) 5
b
Let q be 6/(-14)*2/(-3). Let i(g) = g**2 - 7*g - 2. Let r be i(8). Let v be 14/(-12) + r/4. Which is the nearest to q? (a) -4 (b) v (c) 1/11
b
Let j(x) = x - 1. Let r be j(-4). Let k(m) = m**3 + 4*m**2 - 6*m - 3. Let f be k(r). Let u = -8 - -74/9. Which is the closest to u? (a) 1 (b) f (c) -0.5
c
Let u = -2.06 + 2. Let p = u - -0.56. Let y = p - 0.4. What is the closest to y in -5, -4, -3?
-3
Let r = 3 + -2.5. Suppose -4*s - 3*m + m = -18, 5*m = -3*s + 31. Let d = 0.3 - 0.4. What is the nearest to d in s, r, -0.1?
-0.1
Let g = -0.3 - 0. Let i = 0.09 + -0.09. Which is the nearest to 1? (a) i (b) g (c) 0.3
c
Let h = 48 + -47.9. Which is the closest to h? (a) -1/5 (b) -0.02 (c) -2/3
b
Let o(u) = -u**3 - 4*u**2 + 4*u + 1. Let m be o(-5). Let i be (-218)/15*m/208. Let v = 1/52 + i. Which is the nearest to v? (a) -2 (b) 0.5 (c) -5
b
Let q = -2 + 1. Let t = 1 + -1. Which is the closest to t? (a) 0.5 (b) -2/5 (c) q
b
Let s be (-20)/132 - (-6)/18. Which is the closest to s? (a) -2/9 (b) -3 (c) 0.4
c
Let h(n) = n**2 + 5*n - 5. Let r be h(-5). Let m = -4 - 0. What is the nearest to 1 in r, -1, m?
-1
Let q = -1.6 - -4.6. What is the nearest to q in -0.4, 5, -2/9?
5
Let d = -5.022 + 0.022. Which is the closest to 3? (a) 0.5 (b) -0.2 (c) d
a
Let h = -398/7 + 57. Which is the nearest to h? (a) 5/2 (b) -1 (c) 0.3
c
Let p be (-2)/3 + (-8)/6. Let r = 21/50 - 1/50. Which is the nearest to r? (a) -1/5 (b) 0 (c) p
b
Let h(q) = -q**3 - 3*q**2 + 3*q - 2. Let y be h(-4). What is the closest to y in 2/5, 2, 3?
2
Let p = 678/7 + -97. Suppose f = -0*f. Suppose f = -5*r + r + 8. Which is the closest to -2? (a) -0.1 (b) r (c) p
c
Let u = 0.16 + -0.06. Let o = -1 - -1.4. What is the closest to u in -4, o, 0.3?
0.3
Let q be 400/770 + 6/(-14). What is the closest to -2/9 in -1, q, 7?
q
Suppose -5*b = 3*x + 2*x + 20, 0 = 5*x - b + 20. What is the closest to -1 in x, 2/5, -0.1?
-0.1
Let y = 2 - 10. Let w = 6 + y. Let k(g) = 3*g - 1. Let q be k(2). What is the nearest to w in -4, 0.4, q?
-4
Let r = 12.5 + -14.5. What is the closest to 0 in -1, -2/5, r?
-2/5
Let u = 5 - 3. Let m be (1/4)/(u/(-12)). Let n = 0.06 - 0.46. Which is the nearest to -0.1? (a) 1 (b) n (c) m
b
Let g = 3.7 + -1.7. Which is the nearest to g? (a) -1/3 (b) 1/2 (c) 0.3
b
Let d = -515/346 + -2/173. What is the nearest to -1/3 in 0, 0.5, d?
0
Let l = -1 + 1. What is the closest to l in -4, 1/8, -0.3?
1/8
Let h = 66 + -70. Let c = -2 + 1. What is the closest to c in 4, 0, h?
0
Let p = 0.32 - -0.18. Which is the nearest to -1? (a) 3 (b) -0.3 (c) p
b
Let l = 2 + -1.5. Suppose 14*o = -11*o - 3*o. What is the nearest to 0.1 in l, 2/5, o?
o
Let b = -0.6 + 0.1. Let w = -0.82 - -0.72. Let j = 0.35 + 0.05. What is the nearest to -1 in j, b, w?
b
Let i = -136 - -682/5. Let o = 0.11 + 3.89. What is the nearest to -1 in o, 0, i?
0
Let q = -1.9 - -2.2. Which is the nearest to -2/37? (a) q (b) 2 (c) 3/2
a
Let u be ((-8)/(-28)*-1)/(-1). What is the closest to u in -4, 2/47, -2/3?
2/47
Let u(n) = n**2 + 4*n - 8. Let h be u(-6). Which is the closest to 1? (a) -4 (b) h (c) -3/7
c
Let d = 2.3 - 0.3. Which is the nearest to -1? (a) -2/9 (b) d (c) 2/7
a
Let x = -2 - -3. Let y = -0.4 - 0. Let t = -25 + 22. What is the nearest to x in y, t, -0.5?
y
Let i = -704/7 + 101. What is the closest to 2/7 in -2/5, i, -4/3?
i
Let y = 1 + -0.5. Suppose -3*u + 2*u = -10. Suppose 5*j - 30 = -9*s + 4*s, 5*s = 3*j - u. Which is the closest to -1? (a) y (b) -0.5 (c) j
b
Suppose 4 = -3*p + p + 3*o, 0 = 3*o - 6. Let r be ((-6)/(-50))/(p/5). Which is the nearest to -2/3? (a) r (b) 0.1 (c) 0
c
Let q = 3.1 - 4.1. Let w = -2 + 1. What is the nearest to q in w, 2/7, -0.4?
w
Suppose -z = 4*z + 5. Let n = 0.2 - 0.3. What is the closest to z in 4, -2, n?
n
Let v = -1 - -1.1. Let j be ((-2)/(-10))/(3/6). What is the closest to 2 in j, v, -1/4?
j
Suppose -3*n - r - 12 = -0*n, -6 = -n + 3*r. Which is the closest to 3? (a) n (b) -6/5 (c) -0.1
c
Let j be ((-3)/10)/(2/4). Let d = -132 + 133. Let a = -1 - -1. What is the closest to a in d, -1/2, j?
-1/2
Let y = -0.07 - 1.93. Let k = y + 1.6. Which is the nearest to 1? (a) k (b) 1 (c) 0
b
Let n = 0.3 - 1.3. Let v be 6/(-8) - (-5)/28. Which is the nearest to n? (a) -0.2 (b) v (c) 0
b
Let f be (2 - 3) + 1 + 0. Let x be (-1 - -1)/(2 - 4). What is the closest to x in -2, f, 3?
f
Let k = 0.008 - 0.008. What is the closest to 1/3 in k, -2/19, 3?
k
Let v = 11.5 - 11.3. Which is the closest to -0.1? (a) -1/13 (b) v (c) -3
a
Let r be 2/(-4) - (-27)/66. Let t be ((-3)/(-30))/((-2)/2544). Let q = -128 - t. Which is the closest to -2/9? (a) q (b) r (c) -4
b
Let s = -15 - -13. Which is the closest to s? (a) 0 (b) -2/11 (c) -0.2
c
Let o = -3.6 + 2.6. What is the nearest to -0.1 in 0.5, o, -0.1?
-0.1
Let m(i) = -i**3 - 2*i**2 + i - 4. Let u be m(-3). Let g = -1/203 + 59/203. Which is the closest to g? (a) -0.3 (b) u (c) 3/4
c
Let d = -43.79 + 44. Let y = -0.01 + d. Let j = 3 - 2.9. Which is the nearest to j? (a) y (b) -2/7 (c) 0.5
a
Let r(u) = -4*u - 3. Let s be r(-1). Which is the nearest to -4? (a) -1/2 (b) -0.3 (c) s
a
Let f(m) = 0*m**2 + 6*m**2 - m - m**2 - 3*m**2 - 4 - m**3. Let n be f(3). Let a be n/30 + (-3)/(-15). What is the closest to -2/7 in -0.1, a, 1?
a
Let w = 1.6 + -0.6. Which is the nearest to 0? (a) 4/5 (b) w (c) -0.5
c
Let r be 96/84*(-7)/(-2). What is the nearest to r in -2/19, 1/2, 2?
2
Suppose -4*l = 5*o - 14, -2*l = -4*o + 2 + 4. Which is the nearest to 0.05? (a) -3 (b) l (c) 2/5
c
Let m be (-4)/(-18) + (-8)/9. What is the nearest to 0 in 1/4, m, 1?
1/4
Let l = -63.1 - -60. Let m = 1.1 + l. What is the closest to 1 in 5, m, 1/6?
1/6
Let d = 0.03 + -0.13. Which is the nearest to d? (a) -2 (b) 0.2 (c) -0.1
c
Let k be 2/((-2)/((-3)/(-3))). Let p = -0.5 + 0.1. Let a = 5.19 - 0.19. What is the closest to k in p, a, 2/9?
p
Let z = -6.9 + 6.4. Which is the closest to 3? (a) -2/5 (b) -4 (c) z
a
Suppose 0 = 4*i + 3*p - 39, 5*i - 49 - 17 = 2*p. Suppose 2*u - 3*w - i = 0, -w = -u + w + 8. Let o = 1 + -0.5. Which is the closest to 0? (a) u (b) -5 (c) o
a
Let j = 2.034 - 0.034. Which is the closest to -0.2? (a) 1/2 (b) -5 (c) j
a
Let r be 2 + 1 + (2 - 2). What is the closest to 0.2 in -5, -0.1, r?
-0.1
Suppose 2*x - 3*g + 17 = x, -3*x - 19 = -g. What is the nearest to 0.1 in x, -1/2, 3?
-1/2
Let n = -21 - -17. Which is the nearest to -0.1? (a) n (b) 0 (c) 2
b
Let d = 0.1 - -0.9. Let h be 3/((-1)/8 - 77/(-88)). Which is the nearest to -2/5? (a) -2/7 (b) h (c) d
a
Let x = -13 - -10. Let s = 2 - 1. Which is the closest to s? (a) 0 (b) x (c) 2/9
c
Let v = -42 + 44. What is the nearest to v in 0, -4, -1?
0
Let s = 1 - 0.8. Suppose -5*z + 0*z = 0. Suppose -d + 2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
09
What are the prime factors of 1326532?
2, 541, 613
List the prime factors of 1427671.
7, 203953
List the prime factors of 499106.
2, 163, 1531
What are the prime factors of 288674?
2, 37, 47, 83
What are the prime factors of 1112318?
2, 556159
List the prime factors of 5313179.
19, 279641
List the prime factors of 325933.
23, 37, 383
What are the prime factors of 332485?
5, 29, 2293
What are the prime factors of 10508180?
2, 5, 525409
What are the prime factors of 91842?
2, 3, 15307
List the prime factors of 4570068.
2, 3, 380839
List the prime factors of 505321.
505321
What are the prime factors of 320953?
320953
What are the prime factors of 193040?
2, 5, 19, 127
What are the prime factors of 317348?
2, 79337
What are the prime factors of 2185807?
13, 277, 607
List the prime factors of 4832468.
2, 1208117
List the prime factors of 884589.
3, 71, 4153
List the prime factors of 464327.
464327
What are the prime factors of 11922735?
3, 5, 11, 6569
List the prime factors of 497863.
41, 12143
What are the prime factors of 42140?
2, 5, 7, 43
List the prime factors of 5220182.
2, 11, 37, 53
List the prime factors of 3185400.
2, 3, 5, 5309
What are the prime factors of 2045853?
3, 53, 4289
List the prime factors of 27513915.
3, 5, 11, 13, 101, 127
List the prime factors of 3169154.
2, 1584577
What are the prime factors of 438215?
5, 87643
List the prime factors of 5498492.
2, 337, 4079
What are the prime factors of 110202?
2, 3, 18367
List the prime factors of 952825.
5, 38113
List the prime factors of 677151.
3, 75239
List the prime factors of 906708.
2, 3, 11, 6869
List the prime factors of 114476.
2, 28619
What are the prime factors of 19618864?
2, 1226179
List the prime factors of 6064489.
6064489
List the prime factors of 22950032.
2, 7, 73, 401
What are the prime factors of 68598?
2, 3, 37, 103
What are the prime factors of 2688487?
2688487
What are the prime factors of 1993513?
1993513
What are the prime factors of 1591781?
29, 131, 419
List the prime factors of 891412.
2, 17, 13109
List the prime factors of 16293415.
5, 941, 3463
List the prime factors of 7158596.
2, 1789649
List the prime factors of 544011.
3, 13, 29, 37
What are the prime factors of 1065113?
7, 21737
List the prime factors of 17763606.
2, 3, 7, 17, 8293
What are the prime factors of 9124915?
5, 587, 3109
List the prime factors of 19087307.
29, 179, 3677
What are the prime factors of 2697714?
2, 3, 149873
List the prime factors of 1579935.
3, 5, 7, 41, 367
What are the prime factors of 259006?
2, 11, 61, 193
What are the prime factors of 268727?
103, 2609
List the prime factors of 1016371.
1016371
List the prime factors of 3865178.
2, 29, 103, 647
What are the prime factors of 1019258?
2, 79, 6451
List the prime factors of 498371.
73, 6827
What are the prime factors of 2880761?
13, 19, 107, 109
What are the prime factors of 304704?
2, 3, 23
What are the prime factors of 167566?
2, 7, 11969
List the prime factors of 531238.
2, 265619
What are the prime factors of 991135?
5, 19, 10433
List the prime factors of 592002.
2, 3, 19, 577
What are the prime factors of 5917137?
3, 1972379
List the prime factors of 4109838.
2, 3, 684973
List the prime factors of 78056.
2, 11, 887
List the prime factors of 1019004.
2, 3, 7, 1733
List the prime factors of 13810731.
3, 11, 37, 11311
List the prime factors of 453194.
2, 7, 32371
List the prime factors of 261895.
5, 52379
List the prime factors of 517656.
2, 3, 21569
What are the prime factors of 604991?
71, 8521
What are the prime factors of 13769622?
2, 3, 254993
What are the prime factors of 380784?
2, 3, 7933
List the prime factors of 748967.
503, 1489
List the prime factors of 103331.
191, 541
What are the prime factors of 10011163?
10011163
List the prime factors of 946706.
2, 473353
List the prime factors of 9302691.
3, 809, 3833
What are the prime factors of 78278?
2, 39139
List the prime factors of 7738436.
2, 1934609
What are the prime factors of 222543?
3, 79, 313
List the prime factors of 246818.
2, 11, 13, 863
What are the prime factors of 1257404?
2, 314351
List the prime factors of 13942947.
3, 79, 58831
What are the prime factors of 1503504?
2, 3, 53, 197
List the prime factors of 499628.
2, 124907
What are the prime factors of 650657?
7, 92951
List the prime factors of 1844457.
3, 61, 10079
List the prime factors of 151642.
2, 75821
List the prime factors of 466136.
2, 11, 5297
List the prime factors of 138797.
138797
What are the prime factors of 1020824?
2, 7, 18229
List the prime factors of 793860.
2, 3, 5, 101, 131
List the prime factors of 17806303.
71, 250793
What are the prime factors of 206136?
2, 3, 7, 409
List the prime factors of 326838.
2, 3, 19, 47, 61
List the prime factors of 2437993.
2437993
What are the prime factors of 1996398?
2, 3, 197, 563
List the prime factors of 372567.
3, 13, 41, 233
List the prime factors of 1503874.
2, 389, 1933
List the prime factors of 931374.
2, 3, 59, 877
List the prime factors of 1023893.
13, 17, 41, 113
List the prime factors of 1394440.
2, 5, 71, 491
What are the prime factors of 908057?
908057
What are the prime factors of 16805518?
2, 43, 195413
What are the prime factors of 27622?
2, 7, 1973
List the prime factors of 112247.
112247
What are the prime factors of 247295?
5, 49459
List the prime factors of 8962418.
2, 911, 4919
List the prime factors of 2790639.
3, 103357
What are the prime factors of 1484524?
2, 371131
List the prime factors of 17126095.
5, 7, 29, 47, 359
What are the prime factors of 3829004?
2, 431, 2221
What are the prime factors of 368112?
2, 3, 7669
What are the prime factors of 2663075?
5, 37, 2879
What are the prime factors of 133063?
7, 19009
What are the prime factors of 24648653?
24648653
What are the prime factors of 128306?
2, 64153
What are the prime factors of 668777?
223, 2999
List the prime factors of 4967941.
11, 71, 6361
List the prime factors of 177736.
2, 13, 1709
List the prime factors of 6831768.
2, 3, 284657
List the prime factors of 1966210.
2, 5, 353, 557
List the prime factors of 135429.
3, 7, 6449
List the prime factors of 33475311.
3, 41, 83, 1093
List the prime factors of 189193.
17, 31, 359
What are the prime factors of 420806?
2, 210403
What are the prime factors of 730513?
7, 79, 1321
List the prime factors of 9435948.
2, 3, 786329
List the prime factors of 2847810.
2, 3, 5, 7, 71, 191
List the prime factors of 5293190.
2, 5, 7, 75617
List the prime factors of 2244844.
2, 7, 80173
List the prime factors of 2629409.
2629409
What are the prime factors of 3665078?
2, 29, 2179
List the prime factors of 3521711.
643, 5477
What are the prime factors of 5207960?
2, 5, 130199
List the prime factors of 3032667.
3, 11, 10211
List the prime factors of 1077458.
2, 23, 59, 397
List the prime factors of 879331.
879331
List the prime factors of 493386.
2, 3, 82231
List the prime factors of 5092199.
7, 37, 19661
What are the prime factors of 128607?
3, 163, 263
What are the prime factors of 5558758?
2, 739, 3761
What are the prime factors of 1519746?
2, 3, 241, 1051
List the prime factors of 820927.
820927
What are the prime factors of 14357745?
3, 5, 319061
What are the prime factors of 2366785?
5, 59, 71, 113
List the prime factors of 9300968.
2, 1162621
What are the prime factors of 13906347?
3, 7, 13, 19, 383
What are the prime factors of 3862184?
2, 482773
What are the prime factors of 946232?
2, 7, 61, 277
List the prime factors of 3161699.
797, 3967
List the prime factors of 2222157.
3, 7, 105817
What are the prime factors of 18352110?
2, 3, 5, 7, 281, 311
What are the prime factors of 21453148?
2, 1423, 3769
What are the prime factors of 1904652?
2, 3, 191, 277
List the prime factors of 835404.
2, 3, 43, 1619
List the prime factors of 3690423.
3, 11, 37277
List the prime factors of 215100.
2, 3, 5, 239
What are the prime factors of 3109208?
2, 388651
What are the prime factors of 109105?
5, 21821
What are the prime factors of 10715690?
2, 5, 1071569
What are the prime factors of 36778610?
2, 5, 11, 23, 14537
List the prime factors of 336615.
3, 5, 22441
What are the prime factors of 582665?
5, 116533
List the prime factors of 1177156.
2, 294289
List the prime factors of 297752.
2, 7, 13, 409
What are the prime factors of 26
|
{
"pile_set_name": "DM Mathematics"
}
|
f a week in minutes?
360
How many millilitres are there in eleven halves of a litre?
5500
How many micrograms are there in 129919.4 milligrams?
129919400
How many kilometers are there in 0.8954943 centimeters?
0.000008954943
How many millilitres are there in 271.951 litres?
271951
What is 11/8 of a litre in millilitres?
1375
What is 64/5 of a litre in millilitres?
12800
What is one quarter of a tonne in kilograms?
250
Convert 80.18761 grams to micrograms.
80187610
Convert 2.4160371ms to minutes.
0.000040267285
How many nanometers are there in 514129.7 micrometers?
514129700
Convert 8.075777 decades to years.
80.75777
What is 628155.2cm in millimeters?
6281552
Convert 399.4256 millilitres to litres.
0.3994256
What is 11/2 of a day in hours?
132
What is 10.70128ug in grams?
0.00001070128
Convert 269882.7 nanometers to micrometers.
269.8827
How many centuries are there in thirty-four fifths of a millennium?
68
How many years are there in 1/4 of a century?
25
What is 3/25 of a millisecond in microseconds?
120
How many millimeters are there in thirty-one fifths of a centimeter?
62
How many centimeters are there in 6/5 of a meter?
120
What is 0.9508237l in millilitres?
950.8237
What is 9/10 of a centimeter in micrometers?
9000
What is 3/5 of a day in minutes?
864
How many milligrams are there in 5/4 of a gram?
1250
How many millilitres are there in 389925.8 litres?
389925800
What is three eighths of a centimeter in micrometers?
3750
Convert 159.0662ug to milligrams.
0.1590662
Convert 921.7989m to micrometers.
921798900
How many nanometers are there in 6369.322 kilometers?
6369322000000000
How many millimeters are there in 22678.82 kilometers?
22678820000
What is eleven halves of a century in months?
6600
What is 926.779 kilometers in meters?
926779
How many millilitres are there in twenty-seven halves of a litre?
13500
What is one fifth of a decade in months?
24
How many centuries are there in 0.8572462 millennia?
8.572462
Convert 9600.528um to centimeters.
0.9600528
How many centimeters are there in 20164.6 meters?
2016460
How many grams are there in one tenth of a tonne?
100000
What is three fifths of a kilogram in grams?
600
Convert 44203.26 centuries to months.
53043912
What is 4.555894 centuries in decades?
45.55894
How many millilitres are there in 11/10 of a litre?
1100
How many millennia are there in 82.01395 years?
0.08201395
How many years are there in 862.7059 centuries?
86270.59
Convert 2900.129 millilitres to litres.
2.900129
What is twenty-one eighths of a litre in millilitres?
2625
How many months are there in 28165.35 millennia?
337984200
What is 67/4 of a decade in months?
2010
What is fourty-five halves of a kilogram in grams?
22500
What is 27/5 of a micrometer in nanometers?
5400
What is 31/5 of a kilogram in grams?
6200
Convert 0.446023 grams to micrograms.
446023
What is 1/4 of a kilogram in grams?
250
How many centimeters are there in 6.11016nm?
0.000000611016
What is seventy-three fifths of a millennium in centuries?
146
What is 195.4386m in nanometers?
195438600000
How many millennia are there in 1.031952 centuries?
0.1031952
What is 1/20 of a kilometer in millimeters?
50000
What is 634774.1 litres in millilitres?
634774100
Convert 7557.336 weeks to hours.
1269632.448
What is thirty-seven halves of a centimeter in millimeters?
185
How many microseconds are there in 5/8 of a millisecond?
625
Convert 7197.536 decades to centuries.
719.7536
Convert 187840.2 millennia to decades.
18784020
How many millilitres are there in 1/10 of a litre?
100
What is 0.1204962 decades in centuries?
0.01204962
What is 7/8 of a century in months?
1050
How many nanograms are there in 7/4 of a microgram?
1750
How many tonnes are there in 67177.47 micrograms?
0.00000006717747
How many milliseconds are there in seventeen halves of a second?
8500
How many months are there in seventy-five quarters of a decade?
2250
What is one quarter of a week in hours?
42
How many millilitres are there in 373.2802 litres?
373280.2
How many millilitres are there in eleven eighths of a litre?
1375
What is 207407.3ml in litres?
207.4073
How many months are there in 8/15 of a century?
640
How many hours are there in eight thirds of a day?
64
How many kilograms are there in 891018.4 micrograms?
0.0008910184
How many months are there in three tenths of a millennium?
3600
What is eighteen fifths of a centimeter in micrometers?
36000
How many minutes are there in 7/6 of a week?
11760
What is seven halves of a century in years?
350
What is 3.105645l in millilitres?
3105.645
Convert 4552.84 millilitres to litres.
4.55284
How many milliseconds are there in eleven halves of a second?
5500
Convert 5.30708 millilitres to litres.
0.00530708
How many milliseconds are there in 1/4 of a second?
250
How many millilitres are there in 19/10 of a litre?
1900
Convert 1.750117 tonnes to grams.
1750117
How many millimeters are there in 3/8 of a meter?
375
What is 21/2 of a century in months?
12600
What is 3/50 of a kilometer in centimeters?
6000
How many millilitres are there in one fifth of a litre?
200
What is 569788.4 micrograms in milligrams?
569.7884
What is 5.5018t in micrograms?
5501800000000
Convert 94833.73g to kilograms.
94.83373
How many seconds are there in 73/3 of a hour?
87600
How many minutes are there in four fifteenths of a hour?
16
How many days are there in 2264665.5 microseconds?
0.00002621140625
What is 3/5 of a millennium in centuries?
6
How many micrometers are there in one quarter of a millimeter?
250
How many nanograms are there in seven quarters of a microgram?
1750
How many decades are there in 578545.1 millennia?
57854510
Convert 19684.21ml to litres.
19.68421
How many milliseconds are there in four thirds of a minute?
80000
What is 27/5 of a litre in millilitres?
5400
Convert 78.54kg to nanograms.
78540000000000
What is 9401.55 millennia in decades?
940155
How many months are there in seven sixths of a year?
14
How many grams are there in 5531.16ug?
0.00553116
How many months are there in 365.0474 years?
4380.5688
Convert 194624.73 minutes to days.
135.1560625
How many seconds are there in fourteeen ninths of a hour?
5600
How many nanograms are there in 3/50 of a milligram?
60000
How many years are there in 1/10 of a decade?
1
Convert 661387.6 centuries to months.
793665120
Convert 830773.5 months to centuries.
692.31125
How many millilitres are there in seven halves of a litre?
3500
How many millilitres are there in nine tenths of a litre?
900
How many millimeters are there in 77682.8 centimeters?
776828
What is 8468.17 millennia in centuries?
84681.7
What is fourty-five quarters of a microgram in nanograms?
11250
What is 7/4 of a micrometer in nanometers?
1750
How many kilograms are there in 86.52951 tonnes?
86529.51
What is 2/15 of a minute in milliseconds?
8000
How many months are there in twenty-one fifths of a century?
5040
Convert 817300.6 nanograms to kilograms.
0.0000008173006
How many minutes are there in one quarter of a day?
360
How many milligrams are there in 7/4 of a gram?
1750
How many micrometers are there in 19/4 of a centimeter?
47500
What is 9.88607 millilitres in litres?
0.00988607
What is 3/7 of a week in minutes?
4320
Convert 192.6934mg to grams.
0.1926934
What is 85.0775ug in tonnes?
0.0000000000850775
What is 18408.3 seconds in milliseconds?
18408300
How many years are there in 54496.45 centuries?
5449645
How many millilitres are there in 0.6445475l?
644.5475
How many kilometers are there in 876345.1 centimeters?
8.763451
What is one fifth of a microgram in nanograms?
200
What is 3.525368 millennia in months?
42304.416
Convert 857.7609 micrometers to centimeters.
0.08577609
What is 49/5 of a millennium in years?
9800
What is 3/8 of a millimeter in micrometers?
375
What is 17/2 of a litre in millilitres?
8500
Convert 0.5338202 centuries to millennia.
0.05338202
What is 29.84519l in millilitres?
29845.19
Convert 45.84091 millilitres to litres.
0.04584091
What is 11/4 of a century in years?
275
How many milliseconds are there in three eighths of a second?
375
Convert 552.8186 decades to years.
5528.186
What is 26/5 of a kilogram in grams?
5200
What is 2933.541 micrograms in nanograms?
2933541
What is 31.42457 centuries in years?
3142.457
|
{
"pile_set_name": "DM Mathematics"
}
|
ng p is positive.
p**(-20/3)
Simplify r**(3/13)/(r/(r**15*r)) assuming r is positive.
r**(198/13)
Simplify ((h/(h*h**(-3/2)))/h)/(h/h**6*h)*(h**(2/7))**15 assuming h is positive.
h**(123/14)
Simplify ((a*(a**(-1)*a)/a*a)/a*a)**(-36)*a**(3/2)*a**(1/6)*a assuming a is positive.
a**(-100/3)
Simplify w/w**(4/13)*w*w**16 assuming w is positive.
w**(230/13)
Simplify (m**16)**(2/23) assuming m is positive.
m**(32/23)
Simplify ((g*g**0)/g)/(g/(((g**(3/2)*g)/g)/g))*g**(-1/4)/g*g**5 assuming g is positive.
g**(13/4)
Simplify ((l**(3/11)*l)/l)/(l/(l*l**(-14)/l)) assuming l is positive.
l**(-162/11)
Simplify ((p/(p**(-2/3)/p*p))/p)/p**(-1/4) assuming p is positive.
p**(11/12)
Simplify (s/s**16)/(s**(5/4)*s) assuming s is positive.
s**(-69/4)
Simplify (t**(2/13)/((t/(t*((t/(t/(t/t**4)))/t)/t))/t))/(t**4*t*t*t/t**(-4)) assuming t is positive.
t**(-193/13)
Simplify l**(-2/5)/(l**(-1/5)*l*l)*(l*l**(-2/7))/(l/(l*l**1*l*l)) assuming l is positive.
l**(53/35)
Simplify a/a**(-17)*a*a/(a**(1/19)*a) assuming a is positive.
a**(360/19)
Simplify (z**(-8/3)/(z*z*z*z**9))**37 assuming z is positive.
z**(-1628/3)
Simplify (o/(o/(o**12*o)))/(o/o**(1/9)) assuming o is positive.
o**(109/9)
Simplify (a/a**(2/5))**(-3)*a**(4/3)/(a*a**(-2/3)) assuming a is positive.
a**(-4/5)
Simplify b**(1/3)*b*b**(2/11)*(b**2/b)/b**(2/3) assuming b is positive.
b**(61/33)
Simplify ((y*y/(y*y**(5/4)))/y*y/(y*y*y/(y**3/y*y)*y))/(y/y**(-1)*y)**(1/39) assuming y is positive.
y**(-69/52)
Simplify t/(t/(((t*t**(-8/3)*t)/t*t)/t))*t*t*(t*t**(2/11)*t)/t*t*(t*t**(-2/11)/t)**(-7/12) assuming t is positive.
t**(173/66)
Simplify g**(-31)*g*g**(7/4) assuming g is positive.
g**(-113/4)
Simplify (o*o**(-8))/(o*o**5)*((o/(((o**(1/5)/o)/o)/o))/o)**(4/11) assuming o is positive.
o**(-659/55)
Simplify (z/(z**23*z))/z**(-1/8) assuming z is positive.
z**(-183/8)
Simplify (u*u**(-7))**(-13/5) assuming u is positive.
u**(78/5)
Simplify (z*z*z**(-7))/z*z**(-2/9)*z**(3/4)/z*z**(2/3) assuming z is positive.
z**(-209/36)
Simplify (m**(-1/5)*m*m*(m**7*m)/m)**(1/22) assuming m is positive.
m**(2/5)
Simplify (r*r/(r*r**5))/r*r*r*r**(-3/2)*r*(r/r**(-6))/r*r**(-2/3) assuming r is positive.
r**(11/6)
Simplify (k**(-2/7))**(-17)/((k/k**9)/k*k/(k/(k/k**8)*k)) assuming k is positive.
k**(153/7)
Simplify (a*a*a**(-1/2)*a)**(-2/7)/(a*a**(-3/7)*a**(1/9)) assuming a is positive.
a**(-88/63)
Simplify (((z/(z*(z/(z**1*z))/z))/z)/z)/((z/(z**(-1/2)/z*z))/z)*(z*z**5)/(z*z*z/z**(-5)*z) assuming z is positive.
z**(-7/2)
Simplify ((c/(c**(-2/33)/c))/(c*c*c**(-6)*c*c))/(c**(-2))**(2/39) assuming c is positive.
c**(1786/429)
Simplify (m**2)**14 assuming m is positive.
m**28
Simplify ((v*(v/((v*v**(-1/4))/v*v))/v)/v*v**(1/13))**30 assuming v is positive.
v**(-525/26)
Simplify t/(t/(t/t**(3/4)))*t*t**(3/4)*t**3*t**(2/17) assuming t is positive.
t**(87/17)
Simplify p**(-2)/p**5*(p*p**8*p)/p*p*p*(((p/(p/(p**(-4)/p)))/p)/p)/p assuming p is positive.
p**(-4)
Simplify j**(2/5)/(((j**(2/15)*j)/j)/j)*(j*j*j**(-2/5)*j)**(1/79) assuming j is positive.
j**(308/237)
Simplify (t*t*(t*t/(t**(-1)*t))/t)**38/((t**0/t*t)/(t/t**(-2))) assuming t is positive.
t**117
Simplify p**(1/2)/p**(-2/7) assuming p is positive.
p**(11/14)
Simplify (r/(r/(r*r*r**(1/6))*r))**(-16)*(r/(r*r**(-1/5)/r))/r**(-5) assuming r is positive.
r**(-187/15)
Simplify (b/b**(-1/8)*b*b**(-2/15)*b)/(b**2*b*b**(-1/3)*b*b*b) assuming b is positive.
b**(-107/40)
Simplify (z/z**(-6)*z)/(z**(1/7)/z)*(z*z**1)**(-2/21) assuming z is positive.
z**(26/3)
Simplify p**(-28/9)/p*p/(p**(-14)/p) assuming p is positive.
p**(107/9)
Simplify (w/((w/w**4*w)/w))**(-2/69) assuming w is positive.
w**(-8/69)
Simplify m*((m*m**6*m*m)/m)/m*m**(-1/2)*m*(m**(1/4)/m*m)**(-1/21) assuming m is positive.
m**(713/84)
Simplify ((c/c**6)**(-36))**10 assuming c is positive.
c**1800
Simplify (a**(-2/11)/(a**3/a))**46 assuming a is positive.
a**(-1104/11)
Simplify s**2*s**(22/9) assuming s is positive.
s**(40/9)
Simplify ((n/n**(-1/15))/((n**(2/19)/n)/n))/(n**(-1/4))**(-2/9) assuming n is positive.
n**(4969/1710)
Simplify j**(-3)*j*j*j*(j/(j**(-1/14)*j))/j*j**0*j**(2/7) assuming j is positive.
j**(-9/14)
Simplify (l/(l**(-1/10)*l))/(l*l**(-2/39)) assuming l is positive.
l**(-331/390)
Simplify (x**10*x*x*x**(-1))/(x**1/x*x)**(-47) assuming x is positive.
x**58
Simplify y**(1/19)*y**(-7) assuming y is positive.
y**(-132/19)
Simplify y**(-2)/(y*y**(-19)/y) assuming y is positive.
y**17
Simplify ((g**0*g*g)/g)**41*(((g*g/(g**(-7)/g*g))/g)/g*g)/g*g*g**7 assuming g is positive.
g**56
Simplify m**15/((m**(-3)*m)/m) assuming m is positive.
m**18
Simplify (y**(-8)*((y/(y**(-2/3)*y))/y)/y)/(y**0/y*y*y*y)**32 assuming y is positive.
y**(-220/3)
Simplify i**(-25)/i**2 assuming i is positive.
i**(-27)
Simplify ((a**(5/3)/a)/(a*a/(a/a**(-3))))**(5/4) assuming a is positive.
a**(10/3)
Simplify ((s/((s/(s*s*s*s**(1/2)/s))/s))/(((s/(s**7*s*s))/s)/s))**1 assuming s is positive.
s**(27/2)
Simplify ((r/(r**8*r))/r)/((r**(-8)/r)/r) assuming r is positive.
r
Simplify (p**(-21)*p)/((p*p**(3/31)*p)/p) assuming p is positive.
p**(-654/31)
Simplify ((k*k**6)/k)/(k*k*(k**(-11)/k)/k) assuming k is positive.
k**17
Simplify (((j*j**(1/4))/j)/j)/(j**(-5/4)*j) assuming j is positive.
1/sqrt(j)
Simplify z*z**9*z**9*z**(2/7)/z*z**9*z assuming z is positive.
z**(198/7)
Simplify i**(-11)*i/(i*i**(-5)) assuming i is positive.
i**(-6)
Simplify (n/(n**(-5)*n*n)*n*(n*(n**(-6)*n)/n)/n)/((n/n**(-2))/n)**(-1/50) assuming n is positive.
n**(-24/25)
Simplify (x**21)**1 assuming x is positive.
x**21
Simplify (k**(1/3)/(k**(2/3)*k))/(((k*k**(-1/3)/k)/k*k)/k**(-1/10)) assuming k is positive.
k**(-11/10)
Simplify (k/k**(1/12)*k*(k**4/k)/k)/((k*k/(k**(-2)/k))/k*k**2) assuming k is positive.
k**(-25/12)
Simplify (v**(-1))**(-1/30)/(((v**(1/2)*v)/v)/v*(v/(v*((v**(-2)*v)/v)/v)*v*v)/v) assuming v is positive.
v**(-52/15)
Simplify z**(-27)/z*z**(-24/7) assuming z is positive.
z**(-220/7)
Simplify ((u/(u*u/u**(-2/5)))/((u**1*u)/u))/(u*u**(-8)*u*u*u*u/u**(-2)) assuming u is positive.
u**(-7/5)
Simplify n**(2/7)/n*n*((n/(n/(n*n**8*n)))/n)/n assuming n is positive.
n**(58/7)
Simplify ((r*(r/r**5)/r)/(r**(1/10)/r))/(((r/(r/(r/r**(-4))))/r)/r*r*r/r**(1/2)*r) assuming r is positive.
r**(-43/5)
Simplify d*d**(-5)*d**45 assuming d is positive.
d**41
Simplify (s/s**(-1/2)*s*s)**(-43/3)*s*s*s/(s*s/(s**(-2)*s))*s*s*s*s**(-3/5) assuming s is positive.
s**(-1433/30)
Simplify (y/(y/((y*y**8/y)/y))*y)/(y*y/y**(-1/7))*(((y*y/(y*y*y/(y*y*(y*y**(1/4)*y)/y*y*y)))/y)/y)**(-5) assuming y is positive.
y**(-151/28)
Simplify (t/(t**(-11)/t*t)*t**(-9)*t)/(((((t*t**3)/t*t)/t)/t)/t*t)**(9/4) assuming t is positive.
1/sqrt(t)
Simplify m**(2/23)/m*m**11 assuming m is positive.
m**(232/23)
Simplify (t/(t*t**2))/t*t**(-8)*t*t**0/(t*t/(t/(t/(t/(t*(t/t**(2/7))/t*t)*t)))) assuming t is positive.
t**(-82/7)
Simplify (k**1)**(2/47)*(k**(2/5))**(-3/11) assuming k is positive.
k**(-172/2585)
Simplify (w*w**(-4/9))/w*w**(9/2) assuming w is positive.
w**(73/18)
Simplify c*c**(-10)*c*c*((c*c**(1/2)*c)/c)/c assuming c is positive.
c**(-13/2)
Simplify z**(1/20)*z**(-19/4) assuming z is positive.
z**(-47/10)
Simplify o*o**(-19)*o*o*o*o**(21/4) assuming o is positive.
o**(-39/4)
Simplify (n**(-3))**(-44) assuming n is positive.
n**132
Simplify (u/u**(-3/10)*u)/u**23 assuming u is positive.
u**(-207/10)
Simplify (f*f**(-1))**(-25/3)/(f**(3/10)/f**(-5/4)) assuming f is positive.
f**(-31/20)
Simplify (i/((i/(i/(i/(i*i*i*((i*i**12)/i)/i)))*i)/i))**(-49) assuming i is positive.
i**(-686)
Simplify p*p/(((p/p**(-18/7))/p)/p)*p*p/((p/p**(1/35))/p) assuming p is positive.
p**(86/35)
Simplify y/((y/(y**(-2/11)*y))/y)*y*y*((y/(y*y**(-5)))/y)/y*y*y*((y**(-2)/y)/y)/y*y*y**(-4/9)*y assuming y is positive.
y**(532/99)
Simplify (t**(-1/4)/t**(-10))**(2/67) assuming t is positive.
t**(39/134)
Simplify ((v**20*v)/(v/(v**(-18)/v)))**(2/67) assuming v is positive.
v**(2/67)
Simplify (n*n**(1/2))**(-6/29)*(n**0*n)**(-1/3) assuming n is positive.
n**(-56/87)
Simplify l**3/(l**(4/7)/l*l) assuming l is positive.
l**(17/7)
Simplify ((p*p/(p/(p/(p/(p/p**(1/3))*p)))*p)**(-11/3))**41 assuming p is positive.
p**(-2255/9)
Simplify (z**2*z*z**(-7)*z)**(3/20) assuming z is positive.
z**(-9/20)
Simplify q**5*q**(2/17)*(q*(q*q**(-1))/q)**(-24) assuming
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let z(x) = -x**2 - 10*x - 8. Let h be z(-9). Put h, u, 3/4 in descending order.
h, 3/4, u
Let p = 0 - 0. Let b = -0.02 + -0.78. Let s = 0.7 + b. Sort s, p, 4.
s, p, 4
Let b = 117 - 117. Let j = 0.4 - 0.3. Sort b, j, 4 in ascending order.
b, j, 4
Suppose -4*c - 6 = -14. Suppose -k + 4 - 3 = 0. Suppose -2*h = -0*h + 2. Put k, c, h in decreasing order.
c, k, h
Let f(w) = w**2 - 13*w + 12. Let k be f(12). Let g be (0 - -1) + 0 - -4. Sort k, g, -2.
-2, k, g
Let d = 2.9 - 3. Let v = -1.9 + d. Let z = v - -4. Sort z, 0, 3.
0, z, 3
Let q = 48 + -48. Sort q, -7, 3.
-7, q, 3
Suppose 0 = 4*h - 5*h. Suppose -2 - 5 = m - 3*b, -3*m + b - 21 = h. Let n be 10/(-45) + m/9. Sort -2, n, 0.
-2, n, 0
Let p be 24 - (-1)/(-2)*-2. Suppose 3*m + p = 5*k, -5*k = -10*m + 5*m - 25. Put m, -2, -1 in decreasing order.
m, -1, -2
Let p = 8 - 4. Let i = 1.7 - 5.2. Let r = i + p. Put r, 3/5, -4 in descending order.
3/5, r, -4
Let r = -2 - 1. Let p be 5/(-2)*(-4)/5. Let g = -1 + -1. Put r, g, p in descending order.
p, g, r
Let z(t) = t - 2. Let f be z(2). Let v be (-4)/(-10) + 374/(-110). Suppose 4*x - 3 = 17. Sort f, x, v.
v, f, x
Let a = -2.2 + 2. Let i = -20/17 + 77/51. Sort a, i, 0.2 in ascending order.
a, 0.2, i
Let j be (180/25)/(-2) - -3. Let w be 0 - 1*(-145)/1096. Let g = -1/137 + w. Sort g, 3, j in descending order.
3, g, j
Suppose 11*t = 1 - 12. Suppose 40 = -4*r + 4*o, 0 = -r + 2*r - 5*o + 30. Sort r, 3, t.
r, t, 3
Suppose 35 = 5*w + 2*w. Let y be 34/8 - 2/8. Sort y, w, -4 in decreasing order.
w, y, -4
Let p(q) = 5*q. Let c be p(-1). Let z = -0.2 + -1.2. Let h = -0.4 - z. Sort h, 0.1, c in descending order.
h, 0.1, c
Let j be (-4)/28 - ((-94)/(-28) - 3). Sort -6, -4, j in ascending order.
-6, -4, j
Let c be (2/3)/(24/9). Let p = -116 - -1040/9. Sort p, c, 0.5.
p, c, 0.5
Let a = 9 + -6. Sort 2/5, -1, a.
-1, 2/5, a
Let a be ((-3)/(-9))/(7/21). Put a, -3, 5 in descending order.
5, a, -3
Suppose -4*w - w = -10. Sort 5, 1, w.
1, w, 5
Let z = 0 + 1. Let i(k) = 3*k**2 - 27*k + 20. Let j be i(8). Put 3, z, j in decreasing order.
3, z, j
Suppose 4*x - 4 = 5*d, 3*d = -5*x - 8 - 24. Let n = x - -1. Let p be (5/(-2))/((-1)/2). Sort p, -4, n in decreasing order.
p, n, -4
Let u = 167 + -115. Let t be 2/5 - u/(-20). Put -2, 2, t in ascending order.
-2, 2, t
Suppose -3*y = 5 + 19. Put 5, 0.2, y in increasing order.
y, 0.2, 5
Let n = 10 + -6. Let t(c) = -c**2 + 13*c - 19. Let f be t(2). Put -5, f, n in descending order.
n, f, -5
Let c be (-238)/(-42) - (-4)/(-6). Sort 0, 2, c in descending order.
c, 2, 0
Let i be (-13)/3 + (-4)/6. Let q be -4 - -1 - 17/(-7). Sort -1/5, i, q in descending order.
-1/5, q, i
Let l(d) = -d + 12. Let a be l(10). Let o be 2 + -4 - (-4 - -1). Suppose -a + o = -t. Sort -2, t, -4 in decreasing order.
t, -2, -4
Let f = -25 + 15. Let s be (0 + 4)/(f/(-3)). Let d = 0.3 - 1.3. Sort s, d, -5 in increasing order.
-5, d, s
Let n(z) = z**2 + 17*z + 12. Let j be n(-14). Let p be (3/(-2))/(j/8). Put 3, 1/2, p in ascending order.
p, 1/2, 3
Suppose 3*f + 6 = -a, f + 3*f = -4*a. Sort 1, a, -6.
-6, 1, a
Let g(n) = 2*n**2 + 4*n - 1. Let d be g(-3). Sort d, 4, 8 in increasing order.
4, d, 8
Let d = 0 + -1. Let g = 157/295 + 4/59. Sort -5, d, g.
-5, d, g
Let b(u) = -u - 6. Let g be b(-8). Let m = 3 + g. Suppose 4*j - p = -2*p - m, 0 = 2*j - 3*p - 15. Put j, -1/5, -2/3 in descending order.
j, -1/5, -2/3
Suppose 0 = i - 4*i + 3. Sort -1, i, -6/11 in ascending order.
-1, -6/11, i
Let h = 4 + -4.07. Sort -5, h, 2/7 in ascending order.
-5, h, 2/7
Suppose -3*g - 14 = -4*w, 3*w = -13*g + 8*g - 4. Suppose 16 - 36 = -4*v. Sort v, -3, w in increasing order.
-3, w, v
Let f = 7 + -5. Let p = -0.82 - -0.12. Let m = 0.5 + p. Sort -2, m, f in descending order.
f, m, -2
Suppose 2*v = -n - 16, -n = -2*n + v - 7. Put 0.4, 0.2, n in decreasing order.
0.4, 0.2, n
Let h = 4 - 3. Let s be h/(-5) + 2/10. Suppose 2*w - 6*w = s. Put w, -5, -4 in decreasing order.
w, -4, -5
Let l(g) = -g**3 + g**2 + 1. Let j be l(2). Let d(w) = -w**3 - 3*w**2 - 3*w - 3. Let y be d(j). Let k be (2 - y/2)/1. Sort k, -4, -2 in descending order.
k, -2, -4
Let t be -2 + 1*(2 - -3). Suppose 0 = -7*h + t*h - 96. Let j be 6/4*h/(-54). Sort 1/6, j, 0.2 in increasing order.
1/6, 0.2, j
Suppose -3*k - 4 = -h - 2, 5*k - h = -2. Let m = 19 + -11. Suppose -3*t = t + m. Put t, k, 2 in decreasing order.
2, k, t
Let c = 7 - 17. Let a = 5 + c. Sort -2, -4, a.
a, -4, -2
Suppose 3 = v - 3*o + 11, -v + 5*o = 8. Let n = -5 - v. Put n, 2, 0 in increasing order.
0, 2, n
Let f(i) = -i**3 - 6*i**2 - 6*i - 2. Let l be 6/45 - (-154)/(-30). Let z be f(l). Put -3, z, 0 in ascending order.
-3, 0, z
Suppose -8*w + 3*w = -15. Put 4, -6, 0, w in descending order.
4, w, 0, -6
Let h = -0.3 + -2.1. Let y = h + 2.7. Sort y, -3, -1/4 in descending order.
y, -1/4, -3
Let x = 5 + -1. Let m = 67 + -72. Sort x, m, -1 in descending order.
x, -1, m
Let k(y) be the second derivative of y**5/20 - 5*y**4/12 + y**3/2 - y**2/2 + 5*y. Let n be k(4). Sort 3, -2, n in decreasing order.
3, -2, n
Suppose 0 = -j + 4. Let v(t) = t. Let k be v(j). Suppose r = -6 + k. Sort r, 0, 3 in increasing order.
r, 0, 3
Let l = -53 + 49. Let f(z) = -z - 2. Let g be f(-6). Suppose -2 = -4*y - 14. Sort l, g, y.
l, y, g
Let z be 12/(-7) - 2/7. Let f = z - -7. Put -2/25, 2/15, f in decreasing order.
f, 2/15, -2/25
Let a = 3.41 + 0.09. Let b = a - 3. Put b, -0.5, 0.06 in increasing order.
-0.5, 0.06, b
Let a be 4/(5 - (-6)/(-2)) - -1. Suppose -20 = -4*u - u. Let n be (-6)/u*(-4)/3. Sort -3, a, n.
-3, n, a
Let u = 3.932 + 0.068. Sort u, -1, -5 in descending order.
u, -1, -5
Let b(o) = 6*o - 1. Let m be b(1). Let f(j) = 3*j. Let s be f(2). Suppose -i + 25 = -s*i. Sort 0, m, i.
i, 0, m
Let m = -125/9 + 14. Let i = 4 - 0. Sort 5, i, m in ascending order.
m, i, 5
Let z be (2 - 1) + 1/(-2). Put z, 1, 0.3 in decreasing order.
1, z, 0.3
Let w(f) = f - 6. Let t be w(9). Let s(c) = -c - 1. Let m be s(-2). Sort m, t, -2 in increasing order.
-2, m, t
Let m = -0.36 - 18.64. Let x = 13 + m. Let h = 5 + x. Put -5, h, 0.5 in decreasing order.
0.5, h, -5
Suppose -5*z = 14 + 16. Let x = 2 + z. Let r be 2/5 - 12/5. Sort x, r, 3 in ascending order.
x, r, 3
Let r be (2 + (-9)/2)*2. Let o = 12 - 8. Let p = r + o. Sort p, 5, -3 in increasing order.
-3, p, 5
Let h be 37/(-7) - 4/(-14). Suppose -13 + 3 = 5*o. Let k be (-7)/15 - o/3. Put h, k, 2 in ascending order.
h, k, 2
Let v = -0.68 + 0.18. Put -4, -10, v in increasing order.
-10, -4, v
Let z be (-8)/(-21)*(-304)/(-212). Let j = 4/159 + z. Sort j, -3, 2.
-3, j, 2
Let z = 0.17 - -1.23. Let a = -0.9 + z. Put -2/9, -4, a in increasing order.
-4, -2/9, a
Let b be (2 - 3) + (-4 - (-3 - -2)). Let v = -9 - -5. Let l = v + 3. Sort 2, l, b.
b, l, 2
Let r = 197 - 196.5. Put -0.2, r, 3, 0.73 in ascending order.
-0.2, r, 0.73, 3
Let n = 0.43 + 0.57. Sort 0.4, n, 1/6 in increasing order.
1/6, 0.4, n
Suppose -3*p = -15, -i - 3*p = -2*p - 1. Sort -9, i, 1, 4 in ascending order.
-9, i, 1, 4
Let y = 1.4 - 0.9. Put -5/6, 0.1, y in increasing order.
-5/6, 0.1, y
Let y(b) = -b**3 - b**2 + 3*b - 5. Let m be y(0). Sort m, 4, -29 in ascending order.
-29, m, 4
Let s(m) = -m**3 + 4*m**2 - 4*m + 5. Let t be s(3). Put -5, 5, t in increasing order.
-5, t, 5
Let p(l) = l**2 - 6*l - 4. Let f be p(6). Let w be (-28)/6 - (-2)/(-6). Put w, f, 5 in ascending order.
w, f, 5
Let c = 3.3 + 1. Let i = c + -4. Sort 4, 0.4, i in ascending order.
i, 0.4, 4
Suppose 4*a = -2*y - 3*y + 779, 5*a = -3*y + 470. Let x be (-2)/(-9) - y/90. Sort x, 0.3, -5 in ascending order.
-5, x, 0.3
Let o(z) = -z**2 - 8*z - 7. Let c be o(-6). Let m = -0.9 + 0.6. Sort m, c, -0.4.
-0.4, m, c
Let r = 3.94 + 0.06. Let x = 9 + -7. Put r, x, 0.06 in decreasing order.
r, x, 0.06
Let r(x) = x + 13. Let q be r(-10). Suppose -3 = 3*z - 4*o, -5*z - 2*o - 5 = -q*o. Sort z, 0.5, -0.1 in ascending order.
z, -0.1, 0.5
Suppose 5*h - 3*r = -30, r - 5*r = -2*h - 26. Suppose 0*m - 8 = -4*m. Let f be (m/5)/(3/30). Put f, -4, h in descending order.
f, h, -4
Let s = 21 - 29. Let b = 4 + s. Put b, -3/2, -5 in ascending order.
-5, b, -3/2
Suppose -3*d + 1 = -j, 5*j - 3*d - 1 = -6. Let t be (-6 - 0)*j/3. Sort 1, -2, t.
-2, 1, t
Let h = 3 - 4. Put -0.3, 2, h in descending order.
2, -0.3, h
Let z be (-31)/92 - 2/(-8). Let p = -1 + 4. Put p,
|
{
"pile_set_name": "DM Mathematics"
}
|
nd the third derivative of -14938727*p**3 - 22798*p**2 + 239.
-89632362
Find the second derivative of 181480330*f**4 + 3265*f + 30024 wrt f.
2177763960*f**2
Differentiate 5177*w**2 + 4654*w + 714889 wrt w.
10354*w + 4654
What is the third derivative of 442210362*r**3*t + 39176*r**2 - 700*t wrt r?
2653262172*t
Find the second derivative of 41631*o**5 - 5*o**4 - 6*o**3 - 44279012*o.
832620*o**3 - 60*o**2 - 36*o
Find the first derivative of -643233505*y + 1583694835 wrt y.
-643233505
Differentiate -24605*r**3 - r**2 + 7*r - 18749361 with respect to r.
-73815*r**2 - 2*r + 7
Find the third derivative of -681392406*n**3 + 13109369*n**2 + 2*n - 2 wrt n.
-4088354436
Find the third derivative of 540037669*v**3 + 22*v**2 - 95*v + 11617.
3240226014
What is the second derivative of 97964116*w**3 + 382*w - 1708 wrt w?
587784696*w
What is the derivative of 13440626*m**4 - 17250461?
53762504*m**3
Find the second derivative of 4*b**2*x**3 + 604209*b**2*x**2 + 3*b**2*x + 186*b**2 - 1712 wrt x.
24*b**2*x + 1208418*b**2
What is the third derivative of 2870076*o**3 + 947*o**2 - 53*o - 2 wrt o?
17220456
Find the second derivative of 12*k**4 - 456263*k**3 - 283856*k + 8.
144*k**2 - 2737578*k
Find the third derivative of 2261654*t**3*u**2 + 204*t**2*u**2 - 2*t**2 + 2*t - 5*u - 1 wrt t.
13569924*u**2
Find the second derivative of -2*h**3*w - 358*h**3 - 8*h**2*w + 102*h**2 - 1796*h*w - 3077*h wrt h.
-12*h*w - 2148*h - 16*w + 204
Find the second derivative of 351499*l**5 + 8*l**3 + 15442757*l.
7029980*l**3 + 48*l
What is the first derivative of 75017723*l - 99719495 wrt l?
75017723
What is the derivative of -14261*h*w**2 - 15257455*h - w**2 - 114*w + 3 wrt w?
-28522*h*w - 2*w - 114
What is the third derivative of 5001*d**3*t**4 - 24*d**3*t + 651*d**2*t**4 + 2*d**2*t**2 + 834*d*t**2 + 4*t**2 wrt t?
120024*d**3*t + 15624*d**2*t
Find the first derivative of 1045787070*l*m**3 - 311479966*m**3 - 3 wrt l.
1045787070*m**3
What is the first derivative of 65224632*s - 15046361 wrt s?
65224632
What is the third derivative of 1289953574*a**4 - 1255*a**2 - 3*a - 1746?
30958885776*a
What is the second derivative of 10*l**3*r + 71198*l**3 - l**2*r + 5033*l*r + 699*r wrt l?
60*l*r + 427188*l - 2*r
Differentiate 8589634*s**2 - 2488200 wrt s.
17179268*s
Find the second derivative of -86316612*s**4 - 404521069*s wrt s.
-1035799344*s**2
What is the third derivative of 265439*p*y**3 - 10*p*y**2 + 15*p - 15*y**2 + 23*y + 1 wrt y?
1592634*p
Find the first derivative of 106*z**3 - 12808*z**2 - z + 12843748 wrt z.
318*z**2 - 25616*z - 1
Find the third derivative of 60*f**6 + 136639*f**3 + 1743*f**2 - 40*f - 33.
7200*f**3 + 819834
Differentiate -11022075*c*u**2 + c - 13874218*u**2 with respect to c.
-11022075*u**2 + 1
Find the first derivative of -19275099*o**2 + 2066343 wrt o.
-38550198*o
Find the second derivative of 16519116*o**5 + 2737*o + 9489 wrt o.
330382320*o**3
Find the third derivative of 120227843*i**3 + 2147843*i**2 - 12*i.
721367058
Differentiate -17827591*a - 97139938 with respect to a.
-17827591
Find the second derivative of -27617978*h**2 + 43057251*h wrt h.
-55235956
What is the second derivative of -7480296*b**4 - 51123*b - 3?
-89763552*b**2
What is the second derivative of -429*s**2*t**3 - 1374*s**2*t**2 + 815*s*t**3 + 135*s + 8 wrt s?
-858*t**3 - 2748*t**2
What is the second derivative of 113*k**2*m**2 - 2*k**2*m + 5074*k**2 + 1098*k*m**2 + 2*k*m - 15*m**2 + 3*m + 88 wrt m?
226*k**2 + 2196*k - 30
Find the first derivative of -163*l**3 + 2386*l + 107136198.
-489*l**2 + 2386
What is the second derivative of 5*g**3 - 41797*g**2 - 7613*g - 114 wrt g?
30*g - 83594
Find the third derivative of 9868727*g**3*s*z**3 - 30*g**3*s*z**2 + 36047*g*s*z - 2*s*z wrt z.
59212362*g**3*s
What is the second derivative of -8652384*s**3 - 10*s + 147124 wrt s?
-51914304*s
Find the third derivative of 30993*o**5 - 10*o**4 - 123*o**3 - 420*o**2 + 7*o + 10778 wrt o.
1859580*o**2 - 240*o - 738
Differentiate -37*v**3 - 5411006*v + 1149689705 wrt v.
-111*v**2 - 5411006
Find the third derivative of 2801971*i**5 + 548424*i**2.
168118260*i**2
What is the derivative of -282*f*h**2*x**2 - f*x - 3*f - 2*h**2 - 16194*h*x - 15*x**2 + x - 1498 wrt h?
-564*f*h*x**2 - 4*h - 16194*x
What is the second derivative of b*v**2*w**2 + b*v**2 + 49*b*w - 137*b - 4479342*v**2*w**2 - v**2*w + v*w + 12*w**3 + 269*w + 1 wrt w?
2*b*v**2 - 8958684*v**2 + 72*w
Find the third derivative of 643*j*t**4 + 1660*j*t**3 + 5*j*t**2 - 3*j*t - 191*j + 6*t**4 + 7*t**2 + t + 5 wrt t.
15432*j*t + 9960*j + 144*t
Differentiate -3*m**4 + 3340438*m**3 + m**2 - 39744783 wrt m.
-12*m**3 + 10021314*m**2 + 2*m
Find the second derivative of 1400*b*k**3 + 79*b*k**2*s + 925*b*k + 3*k**2 - 298*k*s + k - 2*s - 2 wrt k.
8400*b*k + 158*b*s + 6
Find the second derivative of -186*c**4 - 14184*c**3 - 324911*c + 9 wrt c.
-2232*c**2 - 85104*c
Find the third derivative of -3529*a*d**6 - 5739*a*d**3 - 5*a*d - a - 2*d**3 - 753830*d**2 wrt d.
-423480*a*d**3 - 34434*a - 12
What is the third derivative of 10*j*l**4 + 8*j*l**3 - 9*j*l**2 + 36*j*l + 11*j - 5011*l**4 - 5*l**3 - 4*l**2 + 7*l - 1 wrt l?
240*j*l + 48*j - 120264*l - 30
What is the derivative of -27259796*s + 6620496 wrt s?
-27259796
What is the second derivative of -26305605*l**2 - 8984408*l + 1 wrt l?
-52611210
What is the second derivative of -221949116*g**5 - 201261630*g?
-4438982320*g**3
What is the derivative of 234259893*q**2 - 263254631?
468519786*q
Find the third derivative of 1013175794*q**3 - 80*q**2 - 3770493 wrt q.
6079054764
Find the first derivative of -1425868*d + 1590347.
-1425868
Find the second derivative of -1050*r**3 + 86449*r**2 + 132974539*r.
-6300*r + 172898
What is the second derivative of -66815315*h**2 + 7*h + 1900706 wrt h?
-133630630
Find the third derivative of 2*d**6 + 686*d**5 + 82*d**3 - 8764251*d**2 wrt d.
240*d**3 + 41160*d**2 + 492
Find the second derivative of -161*b**2*c**2 - 654*b**2*c - 211*b**2 + 44*b*c**2 + 2*b*c - b + 205*c**2 + 2*c + 2 wrt c.
-322*b**2 + 88*b + 410
Find the third derivative of 5523420*w**4 - 2*w**3 - 2395184*w**2.
132562080*w - 12
Find the third derivative of -11732245*c**5*j**2 + c**4 + 177*c**2*j**2 - 2*c**2 - 101*j**2 + j + 1 wrt c.
-703934700*c**2*j**2 + 24*c
Find the third derivative of -94341*z**5 - z**4 - 3*z**3 - 5744*z**2 + 60*z.
-5660460*z**2 - 24*z - 18
What is the first derivative of -620*b*i**2 - 12*b*i*j**2 + 4*b*j**2 - 60773*i**2 - 13*i*j**2 wrt b?
-620*i**2 - 12*i*j**2 + 4*j**2
What is the third derivative of -2*c*n**4 - 160*c*n**2 - 3*c*n + c - 123433484*n**4 + 738*n**2 wrt n?
-48*c*n - 2962403616*n
Find the first derivative of 8664668*f**3 - 10204969.
25994004*f**2
What is the third derivative of -477223*l**6*p + 4*l**6 - 3753678*l**2*p + 2*p wrt l?
-57266760*l**3*p + 480*l**3
What is the third derivative of -3927234*j**3 - j**2 + 3004102*j wrt j?
-23563404
What is the third derivative of 19037926*r**3 - 48623528*r**2?
114227556
What is the third derivative of -3796434*x**3 - 26236439*x**2?
-22778604
Find the second derivative of -7657126*q**2 - 7648*q - 13.
-15314252
What is the second derivative of -33*r**3 + 1234*r**2 - 3560*r - 606?
-198*r + 2468
What is the second derivative of 4114610*s**2 - 41425*s - 149 wrt s?
8229220
Find the third derivative of -130708735*y**3 + 16*y**2 + 5081747*y.
-784252410
Find the second derivative of 43310014*h**2 - 113866014*h.
86620028
What is the second derivative of -195577145*m**5 - m - 23624635 wrt m?
-3911542900*m**3
Find the first derivative of -8996456*d*o**2 + 6740*o**2 + o + 201 wrt d.
-8996456*o**2
What is the second derivative of 44653335*v**5 + 33341081*v?
893066700*v**3
Find the third derivative of -16*k**2*o*x**3 - 10*k**2*o*x**2 + 3*k**2*o*x - 12*k**2*o + k**2*x**2 - 6*k**2 + 400974*k*o*x**3 + 3*k*o + 2*k*x**2 wrt x.
-96*k**2*o + 2405844*k*o
What is the third derivative of 1779*k**3*n**2 - 23367*k**3 + k**2*n**2 - 23*k**2 + 3175*k*n**2 - k*n + 3*k - 22 wrt k?
10674*n**2 - 140202
Find the third derivative of -163809421*n*z**3 + 2*n*z - 679*z**2 + 27473*z wrt z.
-982856526*n
Differentiate 2643853*g**2*j - 10510510*g**2 wrt j.
2643853*g**2
What is the second derivative of -30471354*a**4 + 121657086*a?
-365656248*a**2
Find the third derivative of -240496*h**4 + 2*h**3 + 10364084*h*
|
{
"pile_set_name": "DM Mathematics"
}
|
et c be i(-1). Determine p(c).
-3
Let z(a) = 6*a**2 + 7*a - 6. Let q be z(7). Let p(n) = -341*n**2 - 6*n + 672*n**2 - 5 + n**3 - q*n**2. Determine p(7).
2
Let p(x) be the second derivative of -x**4/3 + 4*x**3/3 - 5*x**2 + 2036*x. Calculate p(5).
-70
Suppose 0 = -26*l + 188*l - 972. Let w(f) = 5 - 5*f + f**2 - 5*f + 3. Determine w(l).
-16
Suppose -3*h + 4*q = 16, q = 7 - 6. Let z(f) = 2*f**2 + 7 - 4*f - 4 + 1 + f**3. Determine z(h).
-12
Let t(v) = -23*v - 336. Let z(s) = 13*s + 187. Let c(u) = 4*t(u) + 7*z(u). Calculate c(1).
-36
Let h(z) = -5*z**2 + 31*z - 7. Let r(f) = -10*f**2 - 5*f + 8. Let q(v) = 2*v**2 - v - 1. Let j(a) = 6*q(a) + r(a). Let l(t) = 3*h(t) + 8*j(t). What is l(-6)?
1
Let x = -3 - -2. Let y = 738 + -694. Let t(n) = -45*n + 6*n**2 + 3*n**3 - 8*n**2 + y*n. Determine t(x).
-4
Let x(y) = 2*y**2 + 27*y + 11. Let f(n) = n**2 + 14*n + 3. Let o(m) = -9*f(m) + 4*x(m). Give o(-18).
17
Suppose 0 = 1466*z - 1465*z - 266. Let n = 265 - z. Let t(p) = p + 2. Calculate t(n).
1
Let a be (36/(-252) + 32/(-70))*10. Let i be -10 + 10 + 30/a. Let z(d) = d**3 + 4*d**2 - 5*d - 5. Calculate z(i).
-5
Let v(q) = 6*q**2 - 17*q**2 - 8*q**2 - 6*q**2 - q + 10*q**2. Determine v(-2).
-58
Let r(w) be the second derivative of 40*w + 0*w**2 + 1 - 2/3*w**3. Calculate r(-1).
4
Suppose 318*k - 280*k = 722. Let m(u) = -u + 11. Calculate m(k).
-8
Suppose -4*r + 11 = 7*r. Let a be -6 - (3 + 0 - 4)/r. Let f(y) = -y**2 + 2*y + 4. Let h(k) = -5*k**2 + 7*k + 17. Let s(z) = 9*f(z) - 2*h(z). Give s(a).
7
Let z be 70/(-15)*(-30)/35. Suppose 4*l - 2*m - 2 - z = 0, 0 = 4*l - m - 7. Let u(v) = -v**3 + 3*v**2 + 3*v - 2. Determine u(l).
8
Suppose 29*i = 20*i + 180. Suppose 29*j + i = 34*j. Let r(d) = -2*d**2 + 6*d - 1. Determine r(j).
-9
Let i(a) = -8*a - 50 + 10 - 104 - 7. Determine i(-18).
-7
Let u(l) = -134*l**2 - 128*l**2 - 217*l + 212*l + 4 + 263*l**2. Let i(y) = -y**2 - 4*y + 1. Let q be i(-3). Determine u(q).
0
Let h(f) = 90*f + 171. Let s(g) = -13*g - 25. Let o(m) = -10*h(m) - 69*s(m). Calculate o(-5).
30
Let c(z) be the first derivative of z**6/120 + 4*z**5/15 + z**4/24 + 5*z**3/2 - z**2/2 - 14*z - 23. Let l(y) be the second derivative of c(y). Calculate l(-16).
-1
Let o(h) be the first derivative of 1 - 3*h - 1/2*h**2. Let q = -32226 + 32222. Determine o(q).
1
Let a = 37 + -31. Suppose -c - 2 = -a. Let x(t) = 3*t - t**3 + 3*t**3 + t**2 - 3*t**3 - c*t**2. Give x(-4).
4
Let z = -2452 - -2447. Let a(i) = -i**3 - 7*i**2 - 9*i + 1. Calculate a(z).
-4
Let y(i) = -12*i + 22*i - i**2 - 4 + 2. Let v be y(9). Let q(t) = v*t + 4*t - t - 2*t. Calculate q(1).
8
Let c(k) = -k**3 - 3*k**2 - 2*k + 2. Let x be c(-3). Suppose p + 4*j = -p - 106, -x = 2*j. Let z = -42 - p. Let a(t) = -t**2 + 2*t. Determine a(z).
-3
Let v(k) = -2*k - 18. Let b(p) = 18*p + 162. Let s(g) = -3*b(g) - 26*v(g). Give s(-13).
8
Let h(z) be the first derivative of z**2/2 - 2*z + 1. Let v = 29 - 27. Suppose v*i - 17 = -3*d + 3*i, 3*d - 3*i = 27. Calculate h(d).
2
Suppose 14 = 3*g - 2*a + 5, 4*g - 1 = -a. Let r(d) = 3*d - 7*d - 2*d. Calculate r(g).
-6
Let h(a) = -a**3 + 2*a**2 + 2. Let j(v) = -2*v**2 - 36*v - 35. Let p be j(-17). Let s = -5 + 8. Let r = p + s. Determine h(r).
2
Let d(a) = -a**2 + 31*a - 162. Suppose 63*l - 62*l = 3*n - 77, 2*l = -3*n + 62. Give d(n).
6
Let h(t) = -5*t + 5*t**2 - 10*t**3 - 12 + 20*t**3 + 16 - 11*t**3. Let r be (9/(-6))/((-2)/4). Give h(r).
7
Let f(j) = -j**2 + 7*j + 5. Suppose 0*m = 2*h - 5*m, -h - m = 0. Suppose h = 10*w + 2*w - 60. Suppose 0*s - 30 = -w*s. Calculate f(s).
11
Let c(l) = -2*l**2 - 1. Let i be 150/(-70) + 3*(-1)/(-21). Let a be -4 + i/6*-9. Give c(a).
-3
Let s(n) = -n**3 + 7*n**2 - 8*n + 27. Let a(i) = -i**2 + 625*i - 3707. Let p be a(6). Give s(p).
-29
Let z be (-13)/(-2) - (-5 + 3 + (-203)/(-58)). Let w(i) be the third derivative of 0*i - z*i**2 - 4/3*i**3 - 1/60*i**5 + 0 + 5/12*i**4. Determine w(7).
13
Let g(r) = r**3 + 13*r**2 + 10*r - 28. Let z be 106/(-8) - (-21 - 1422/(-72)). Determine g(z).
-4
Let r(x) = x + 2. Suppose 23*j - 4*i + 89 = 28*j, 0 = 4*j + 3*i - 72. Let q = 1 - 1. Suppose -2*c - 4 = q, -u + 2*c = -6*u + j. Give r(u).
7
Let p be ((-4)/10 - 2/(-5))/(779 - 776). Let j(o) = -3*o**3 + o**2 - 2*o. Determine j(p).
0
Let h be 3/(-10) - (-1168)/160. Let w(d) be the second derivative of -d**3/6 - 24*d. Determine w(h).
-7
Let f be 19/(-3) - 7/84*-4. Suppose 5*k - 10 = 0, -5*k = 4*v - 5*v - 8. Let a(t) = -1 - 5*t + 4*t**2 + 9*t - t**2 - 2*t**v. What is a(f)?
11
Let c(u) = u - 9. Let q be -1 - 1/3*39. Let p be 174/203*q/(-3). Determine c(p).
-5
Let v(f) = -f**2 - 9*f + 21. Suppose 3*s - 4*k - 973 = -987, -2*s + 5*k = 21. Determine v(s).
-1
Suppose -3*a + 6 = 3*t, 4*a - 2*a - 4 = t. Let n(f) = f**2 + 26*f + 119. Let c be n(-21). Let m(y) = 4 + 0 - c + 7 - a*y. Calculate m(-4).
5
Let o(n) = 246*n**2 - 12*n - 6. Let h(f) = 227*f**2 - 10*f - 5. Let r(c) = 13*h(c) - 12*o(c). Determine r(11).
40
Suppose -13*l + 288 = 93. Suppose -l = -6*c + 15. Let j(z) = -z**2 - 2*z - 6. What is j(c)?
-41
Let n(l) be the second derivative of 12*l + 0*l**2 + 1/3*l**4 + 0 + 1/3*l**3. Let w = -60 + 58. Determine n(w).
12
Let z(n) = 11 + 9 + 3*n - 9 + 14*n - 6*n. Calculate z(2).
33
Let p = -19366 + 193661/10. Let w(l) be the third derivative of p*l**5 + 0 + 22*l**2 - 5/6*l**3 - 1/120*l**6 + 0*l + 7/24*l**4. Determine w(7).
-5
Let s(u) be the second derivative of u**4/12 + 5*u**3/3 - 17*u**2/2 - 16*u. Suppose 26*x + 102 = -184. Determine s(x).
-6
Let f(h) = 3*h - 4 - 6*h + h. Suppose 0 = -47*s - 12*s + 2*s - 285. Calculate f(s).
6
Suppose -7*y + 55 + 10 = -20*y. Let n(w) be the third derivative of -4*w**2 + 0 - 1/10*w**5 - 1/2*w**3 + 0*w - 1/120*w**6 - 1/6*w**4. Give n(y).
-8
Suppose 29*i - 8 = -10 + 60. Let w(p) = 38*p - 7. Determine w(i).
69
Suppose -5*m - 36 = -5*o - 11, -13 = -o - 3*m. Suppose 4*v + 2*i - 8 = 0, -4*i + 4 = 4*v - 2*v. Let r(n) = -6 - 4 - n + v. Calculate r(o).
-15
Let s be ((-3806)/(-154) - 23)*(9/2 - 1). Let y(i) = 5*i - 23. Calculate y(s).
7
Let k(l) = -3*l - 4. Let w(m) = -m**3 + 12*m**2 - 22*m + 6. Let v be w(9). Suppose v = 4*z - 57. Suppose 4*j = -4*n - 52 + 8, -3*j = 2*n + z. What is k(n)?
14
Let c(a) = 10*a**2 - a. Let v(z) = -z + 9. Let i be -4*(9/(-4) + 1). Let o be v(i). Suppose o*p = 8*p + 4. Give c(p).
11
Let a(s) = s**2 + 29*s + 196. Let n(j) = j**3 + 14*j**2 - 11*j + 43. Let m be n(-15). Determine a(m).
-8
Let h(u) = u**3 + 2*u**2 - 2*u**3 - 6*u + 2 + 0*u**3 + 2*u**2. Suppose -l = -3*o + 32 - 16, -24 = -2*o + 4*l. Determine h(o).
-22
Let j(f) = -f**2 - 1. Let m(y) = 2*y**3 - 6*y**2 + 2*y - 2. Let c be m(4). Suppose 9 = 35*i - c*i. Let z be i/1 - (-8 - -7). Determine j(z).
-5
Suppose -2 - 2 = -2*r - 3*z, -3*r + 6 = 4*z. Let c(w) = -6*w**r - w**2 - 9*w**2 - 5*w**2. Let i = 28 + -29. Determine c(i).
-21
Let z(v) be the first derivative of 2*v**3/3 + 11*v**2 + 12*v - 1118. Calculate z(-11).
12
Let y(n) = n - 3. Suppose -10*w + 11*w = 7. Let q = -5 + w. Let g = 5 - q. What is y(g)?
0
Let m(u) be the first derivative of -7*u**2/2 + 14*u - 3949. Determine m(1).
7
Let b be (3/(-2))/(-5 + 679/140). Suppose -3*m = f - 1, -3*f + 2 = -b. Let i(o) = -13*o + 1. What is i(m)?
14
Let g be 5/(-1) + (3 - 1). Let n(i) = 154 - 13*i**2 + i - 151 + 16*i**2. What is n(g)?
27
Let c(b) be the third derivative of b**6/720 - b**5/120 - b**4/24 + 2*b**3/3 + 63*b**2 - 3*b. Let j(s) be the second derivative of c(s). Calculate j(-9).
-10
Suppose 0*a - 4*a = -6*a. Let n(j) = 16 + 4 + a - j - 10. Calculate n(0).
10
Let t be 8 - 5/(-20)*0. Let c be (-1)/3 - (t/(-6) + -1). Let x(n) = 1 - 2 - 1 - n**c + 3 + 7*n. Calculate x(8).
-7
Let y be (3/5)/(7/70). Suppose -4*f + y = -6, d - 14 = -4*f. Let b(s) = 70*s**d + s**3 - 2 + 4*s + 0 - 71*s**2 - 2*s. Calculate b(2).
6
Let t(q) = 11*q + 1. Let x(y) = -10*y + 7. Let g(o) = t(o) + x(o). Calculate g(-2).
6
Let m(a) = -3*a**2 - 2*a + 4. Let o(y) be the third derivative of 31*y**4/24 - 52*y**3 + 25*y**2 - 2*y. Let i be o(10). Calculate m(i).
-4
Let z be 176/30 - (10/225)/(1/(-3)). Let u(g) = -g**2 + 5*g - 4. Calculate u(z).
-10
Let p(i) = i - 2. Suppose -4*q - 14 = -v, -62*q + 19 = -4*v - 61*q. Let w be 7/3 + (-4)/(-6). Let h be (-2)/v + (-22)/w. What is p(h)?
-9
Let s(l) = -l**3 - 14*l**2 - 23*l - 3. Let b be s(-12). Let u(g) = -g**2 - 15*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let b be f(4). Suppose -o + b*t - 2 = 2*t, 3*o = t + 38. Is 5 a factor of o?
False
Suppose 3*s - 60 - 33 = 0. Let i = -19 + s. Is i a multiple of 12?
True
Let a = -1 + 31. Suppose -6*v + o - 18 = -3*v, 5*v + a = 5*o. Is (-26)/v + 3/(-9) a multiple of 4?
True
Let i(v) = -2*v + 2. Let x be 2/(2*3/(-15)). Let l = -7 - x. Is i(l) a multiple of 6?
True
Let i = 10 + -6. Let k be (-4)/(-6) + (-912)/(-9). Suppose 0 = 4*w - 2*z - k, i*w = -w + 5*z + 135. Is 12 a factor of w?
True
Suppose 0 = -5*h + 15, 0 = -4*k + 3*k + 4*h + 113. Is k a multiple of 5?
True
Let y(s) = 6*s - 4. Let z(d) = -6. Let n(m) = -m. Let o(a) = 3*n(a) + z(a). Let b be o(-4). Is y(b) a multiple of 16?
True
Suppose -5 = -x + 6*x. Let j be 0 + 3 + 0/x. Suppose -3*f - 3*y = -90, j*y - 142 = -6*f + f. Is 23 a factor of f?
False
Suppose 0 = f - 2*m - 35, 0 = 3*f - f - 5*m - 66. Is 5 a factor of f?
False
Let i be 84/39 - (-6)/(-39). Let v(z) = z**2 + 2*z. Does 3 divide v(i)?
False
Suppose 3*x = 87 + 180. Suppose 0 = 4*n + o - x, 0 = 3*n - n + o - 45. Suppose 0 = q - 2*q + n. Is 10 a factor of q?
False
Let l = 13 - -3. Does 6 divide l?
False
Let r = -1 - -101. Is 5 a factor of r?
True
Let t(r) = 5*r**2 - 9*r - 9. Let h = 10 + -16. Let f be t(h). Suppose 5*d + 20 = f. Is d a multiple of 14?
False
Suppose 21*z = 23*z - 212. Is 8 a factor of z?
False
Suppose -5*y - m + 716 = 0, -5*m + 700 = y + 4*y. Does 10 divide y?
False
Suppose -2*s + 4*s = 0. Suppose -2 = -h - s. Is (h/5)/(2/110) a multiple of 11?
True
Suppose 6 = 3*j - 5*j. Does 2 divide j/((-9)/(-4))*-3?
True
Let w(q) = -q**2 + 4*q + 3. Suppose 3*l - 7 - 8 = 0. Let s be w(l). Does 5 divide (-22)/4*(s - 0)?
False
Let i = 1 - -1. Let s(f) = i + 6*f**3 - 3 - 3*f**3 + f - f**2 - f**2. Does 17 divide s(2)?
True
Let d be (-1 + 1 - -10)*1. Let h be (-4)/d - (-14)/35. Let j(z) = z**3 - z + 8. Is j(h) a multiple of 4?
True
Let s be ((-20)/8)/(3/(-18)). Does 15 divide s/((-3)/(-3 + -3))?
True
Let o(l) = l - 4. Let t be o(6). Suppose 32 + 28 = t*a. Is a a multiple of 12?
False
Suppose 0 = -5*y + 2 - 7. Is 22 + y - (7 - 9) a multiple of 6?
False
Suppose -5*v = -3*j - v - 2, j - v = 0. Suppose -2*l - 5*t - 1 = 0, j*l - 5*l = -2*t - 46. Does 10 divide l?
False
Suppose m - 119 - 6 = 0. Is m a multiple of 34?
False
Let b = -74 - -103. Suppose o - 3*a = 7, 2*o - b = -a + 4*a. Let s = 52 - o. Is s a multiple of 15?
True
Let j = -92 + 216. Is j a multiple of 31?
True
Let t = -289 - -418. Does 14 divide t?
False
Let w(i) = 13*i + 3. Does 12 divide w(3)?
False
Let i(h) = -23*h - 2. Let a be i(-1). Is 8 a factor of 174/a - 4/14?
True
Let n be 792/(-30) - (-6)/(-10). Let i = n + 68. Suppose 161 - i = 5*x. Is 12 a factor of x?
True
Let j be ((-3)/4)/(4/16). Let y(o) = -o**3 - 5*o**2 - 4*o - 2. Let k be y(-5). Is ((-156)/k)/(1/j) a multiple of 13?
True
Let s = -7 + 9. Suppose -s*x - 4*i = -6*x + 24, -3*i = x - 22. Is 10 a factor of x?
True
Let a be ((-1)/2)/(2/(-12)). Suppose -2*w + k = -w - 6, -4*w - 4 = a*k. Is 7 a factor of (3 + 12/3)*w?
True
Let i = 89 + -26. Is 7 a factor of i?
True
Let l = 274 - 169. Is 17 a factor of l?
False
Let b(u) be the first derivative of 0*u**2 + 8*u + 7/3*u**3 + 1/4*u**4 - 2. Is 8 a factor of b(-7)?
True
Let k(i) = -7 - 4*i + 7*i + 3. Let w be k(3). Suppose 2*x + 1 - 11 = -w*p, 0 = 2*p. Does 2 divide x?
False
Suppose -4*s + 135 = -7*s. Let b = -31 - s. Let z = b - 4. Is 9 a factor of z?
False
Suppose -3*j = -6*j + 6. Suppose -j*x = q, 3*q = -2*q + 3*x + 26. Suppose -3*c + 2*p + 1 = -0, -q*c + 4 = -2*p. Does 2 divide c?
False
Let n = -20 + -15. Let d = -13 - n. Is d a multiple of 7?
False
Let q = -86 + 157. Is q a multiple of 42?
False
Let a(o) = -o**2 + o + 2. Let f be a(0). Suppose f*u - 1 - 35 = 0. Let r = 13 + u. Is r a multiple of 16?
False
Suppose -j - 15 = -2*f, -4*j + 20 = 2*f - 0. Is f even?
True
Let o = -4 + 2. Suppose -3*b + 5*j + 0*j = -37, -b - 4*j = 16. Is 6 a factor of 15/o*b/(-5)?
True
Suppose -1 = 2*r - r. Is (-37)/r - 1/(-1) a multiple of 19?
True
Let m(n) = -n**3 + 14*n**2 + 10*n + 14. Is 31 a factor of m(13)?
False
Let r be (-4)/8*2 + 31. Suppose 2*k - k = r. Is k a multiple of 13?
False
Let x be -4*(-1)/(-6)*-21. Suppose 0 = 2*t - x - 26. Does 5 divide t?
True
Let t = 21 + -15. Is t a multiple of 2?
True
Suppose 6*q - 4*q = 3*y - 84, 5*y - 140 = -2*q. Does 7 divide y?
True
Let z = 75 + -28. Is 10 a factor of z?
False
Let t(c) be the second derivative of c**3/6 - c**2 - 3*c. Let s be t(-2). Let w(i) = -i**3 - 4*i**2 - 4*i - 5. Is 11 a factor of w(s)?
True
Let j(u) = u**3 + 4*u**2 - 5*u + 7. Let w be j(-5). Suppose 5*o - w*o + 12 = 0. Is 2 a factor of o?
True
Let y = 5 - 11. Let j(o) = o. Let c(f) = f**2 - 17*f + 7. Let w(i) = y*j(i) - c(i). Is w(7) a multiple of 14?
False
Suppose -1292 = -8*b - 452. Does 7 divide b?
True
Let p be (-3)/(2/3 - 1). Let d = -129 - -198. Does 3 divide (-2)/(-6) + d/p?
False
Suppose 4*x = -n - 3*n + 16, -4*n - 12 = -3*x. Suppose -p = n, -3*r + 37 = -5*p - 26. Is 10 a factor of r/3*48/14?
False
Suppose -3*b - 5 = 2*r - 3*r, 25 = 5*r + 5*b. Let h(a) = -a + 3. Let x be h(r). Let z = 7 + x. Is z even?
False
Let u(y) = -y**2 + 31*y - 37. Is u(17) a multiple of 29?
False
Let z = -77 - -237. Is 14 a factor of z?
False
Let h = 1 + -6. Let j = 15 + h. Suppose r + 5 = j. Is r even?
False
Let z(g) = g**3 + 5*g**2 + 3*g - 3. Let k(d) = -4*d**3 + d**2 - 2*d + 1. Let v be k(1). Let r be z(v). Is 2 a factor of (r - 0)/((-1)/(-2))?
True
Let u(i) = -14*i + 2. Let a be u(-2). Let j = 0 + a. Is 10 a factor of j?
True
Suppose -3*b = -i - 89 + 27, 4*b - 3*i = 91. Does 9 divide b?
False
Suppose -5*u + 4*a + 348 + 231 = 0, -2*a - 230 = -2*u. Is 17 a factor of u?
True
Let v(a) = -a + 1. Let c be v(-4). Suppose -3*i = -4*i + c. Suppose -y - 2*y + 68 = i*t, 3*t = -5*y + 28. Is t a multiple of 10?
False
Let j(u) = u - 7. Let a be j(5). Let s be (3/(-3))/(a/6). Let g = s + 4. Is g a multiple of 5?
False
Let n = 11 - -26. Suppose -3 = 2*d - 5*x - n, 4*x = 2*d - 38. Does 6 divide d?
False
Suppose 3*k - 75 = -3*u, 3*u - 3*k + k = 80. Does 17 divide u?
False
Suppose 0*l = 3*l + 69. Let v be 2/5 + l/(-5). Suppose -v*n + 10*n + 5*c - 150 = 0, 0 = 3*n - 5*c - 106. Is n a multiple of 15?
False
Let d(k) = -k**2 + 2*k + 229. Does 13 divide d(0)?
False
Suppose 6*t - 4*t = 2. Is 8 a factor of (t/2)/((-1)/(-60))?
False
Let z(b) = -5*b. Let y be z(-1). Let o be ((-2)/y)/(6/30). Does 9 divide o + 0 + 24 + 1?
False
Let c(x) be the second derivative of x**6/60 + x**5/60 - x**4/8 + x**3/3 + x**2 + x. Let j(v) be the first derivative of c(v). Is 8 a factor of j(2)?
True
Let d(o) = o**3 + 6. Is d(0) a multiple of 2?
True
Let z(i) = i**2 - 7*i + 3. Let a be z(6). Let u = 4 + a. Is 26 a factor of u - 153/(-6)*2?
True
Let a = -46 - -118. Is a a multiple of 13?
False
Suppose 3*g = 4*o + 67, -2*o = o + 3*g + 45. Let x = 22 + o. Is x a multiple of 6?
True
Suppose -2*a + 2*v + 134 = 0, 2*a - 3*v - 67 - 64 = 0. Is 14 a factor of a?
True
Is (-4)/(-6) + (-160)/(-12) a multiple of 3?
False
Let j(z) = 6*z**3 + z**2 + 2. Does 6 divide j(2)?
True
Suppose a + 0*a - 11 = 0. Let d = a - -5. Is 13 a factor of d?
False
Let z = 66 - 29. Does 21 divide z?
False
Let r(s) = s + 8*s**2 + 8*s**3 - 6*s**2 - 41*s**3. Does 10 divide r(-1)?
False
Let u = 234 - 118. Is u a multiple of 29?
True
Let y(r) = -16*r**2 + 3*r + 1. Let t = 0 - 1. Let f(m) = -m**2 - m. Let o(g) = t*y(g) - 2*f(g). Is o(-1) a multiple of 13?
False
Suppose 6 = -3*y + y. Let b(q) = -16*q + 27*q - 14*q - q**2 + 4. Does 4 divide b(y)?
True
Suppose -3*c + 13 = 1. Suppose 26 = 2*k + 4*h, 4*k + c*h - h - 27 = 0. Suppose -5*i - 5*f = -2*i - 41, 3*i - 51 = -k*f. Is 22 a factor of i?
True
Let t = 153 + -92. Suppose -134 = 5*d + 4*q, -2*q - 62 = 2*d - 8. Let y = d + t. Is 17 a factor of y?
False
Is 7 a factor of 13 - -17 - 0/2?
False
Let l(a) = -5*a**2 - 2*a - 5. Let f be l(-5). Let b = f + 171. Is b a multiple of 17?
True
Let s = -45 + 77. Does 32 divide s?
True
Does 11 divide 18*-1*((-56)/12 - -1)?
True
Suppose -3*y = -4*y + 9. Let q = -7 + y. Suppose 19 = q*n - 11. Is 7 a factor of n?
False
Let c = 24 - 30. Let l(g) = -2 + 7*g**2 - 3 + g**3 + 4*g + 2. Is l(c) a multiple of 9?
True
Let u be 6/(-3 + (-34)/(-10)). Does 4 divide -9*2/u*-5?
False
Suppose -u - 4*u = -5*w + 40, 25 = -5*u. Is 12/1
|
{
"pile_set_name": "DM Mathematics"
}
|
he nearest 100000.
-800000
What is 1.38804892 rounded to three dps?
1.388
What is 90437.02664 rounded to the nearest one thousand?
90000
Round -19124.0299 to the nearest ten.
-19120
Round -0.00002501022051 to 7 decimal places.
-0.000025
What is -0.29989925 rounded to 4 decimal places?
-0.2999
What is 0.0013640915005 rounded to six dps?
0.001364
What is 0.024840376 rounded to four dps?
0.0248
What is -0.656173079 rounded to 3 dps?
-0.656
What is 0.026764944 rounded to four decimal places?
0.0268
What is 2210626.1 rounded to the nearest one thousand?
2211000
What is 413851398 rounded to the nearest one hundred thousand?
413900000
Round -1.46188334 to four decimal places.
-1.4619
What is 0.0101128882 rounded to 3 dps?
0.01
What is 139235775.5 rounded to the nearest one thousand?
139236000
What is 14902.34526 rounded to zero decimal places?
14902
What is -120559.846 rounded to the nearest ten?
-120560
Round -11296569.94 to the nearest 1000000.
-11000000
Round 290.113818 to 1 decimal place.
290.1
What is 11304.81806 rounded to zero decimal places?
11305
What is 4.122092924 rounded to 2 dps?
4.12
Round -0.001064889101 to four decimal places.
-0.0011
What is -589.2136357 rounded to the nearest 10?
-590
Round -0.03192187293 to 3 decimal places.
-0.032
What is 5.9302293 rounded to 2 decimal places?
5.93
Round -77473073.1 to the nearest one million.
-77000000
Round -0.080620086 to three decimal places.
-0.081
Round -56712575540 to the nearest 1000000.
-56713000000
What is -0.00002501384 rounded to seven dps?
-0.000025
What is -7458878.12 rounded to the nearest ten thousand?
-7460000
What is -7730809 rounded to the nearest 100000?
-7700000
What is 0.0134945249 rounded to four dps?
0.0135
What is -293957.696 rounded to the nearest ten thousand?
-290000
What is -2.22277523 rounded to four decimal places?
-2.2228
Round 587.5101922 to the nearest 100.
600
Round -242.21066 to the nearest 10.
-240
What is 0.000244660935 rounded to 6 dps?
0.000245
Round 0.0002212094651 to seven dps.
0.0002212
Round -0.001059448224 to 7 dps.
-0.0010594
Round -0.002530318989 to 4 decimal places.
-0.0025
Round -0.00373665961 to 5 dps.
-0.00374
Round 183668027620 to the nearest one million.
183668000000
Round -0.006108382482 to 5 dps.
-0.00611
Round 0.000006011787747 to six decimal places.
0.000006
Round -80068512.5 to the nearest 10000.
-80070000
What is 0.1326779539 rounded to one dp?
0.1
Round -120202.37673 to the nearest 10.
-120200
What is 255676.19 rounded to the nearest 10000?
260000
What is 2.41350776 rounded to one dp?
2.4
Round 0.00000668887329 to 6 dps.
0.000007
Round -46.50814521 to the nearest ten.
-50
What is -0.0632549464 rounded to 5 decimal places?
-0.06325
Round 0.00006457979413 to 5 dps.
0.00006
Round 0.00179539045 to 4 decimal places.
0.0018
Round -102223.837 to the nearest one thousand.
-102000
What is -11154.9622 rounded to the nearest 1000?
-11000
What is 0.0000159301014 rounded to six dps?
0.000016
Round 62.3349823 to zero decimal places.
62
What is 4555.34503 rounded to the nearest 1000?
5000
Round 0.000401537097 to 5 dps.
0.0004
What is -0.4404340576 rounded to 5 decimal places?
-0.44043
Round -536488122 to the nearest ten thousand.
-536490000
What is -0.00018524158 rounded to six dps?
-0.000185
What is -149.358252 rounded to zero decimal places?
-149
What is -150.3618158 rounded to one decimal place?
-150.4
What is 3123912637 rounded to the nearest one million?
3124000000
What is 0.2837990413 rounded to 4 decimal places?
0.2838
What is -0.00001781970466 rounded to 7 decimal places?
-0.0000178
Round 96.5293067 to the nearest 10.
100
Round -0.00813227444 to four dps.
-0.0081
Round 2303749440 to the nearest 100000.
2303700000
Round -77.526211 to the nearest integer.
-78
What is 0.135153037 rounded to 4 decimal places?
0.1352
Round 781.40034 to 1 dp.
781.4
Round 0.000070105355 to five dps.
0.00007
Round -4.55046164 to three dps.
-4.55
What is 0.00340408842 rounded to 7 decimal places?
0.0034041
What is 138714.40618 rounded to the nearest 100?
138700
What is -1618.26672 rounded to one dp?
-1618.3
What is 4.3657495 rounded to three decimal places?
4.366
What is 0.406951478 rounded to 4 decimal places?
0.407
What is 334.077166 rounded to one decimal place?
334.1
What is 0.83037515 rounded to 1 dp?
0.8
Round -9.6247198 to 0 decimal places.
-10
What is 396821.376 rounded to the nearest 10?
396820
What is 13609.2169 rounded to the nearest 100?
13600
What is -0.032818669 rounded to four decimal places?
-0.0328
Round 0.000155918513 to 7 dps.
0.0001559
Round 0.003660812435 to 7 dps.
0.0036608
What is -894.97102 rounded to the nearest ten?
-890
Round -6225.07905 to 0 dps.
-6225
What is 0.313158785 rounded to 5 decimal places?
0.31316
What is -2.62575187 rounded to 1 dp?
-2.6
What is -257076.01 rounded to the nearest one hundred thousand?
-300000
Round -85561057900 to the nearest one million.
-85561000000
Round 0.604559766 to four dps.
0.6046
Round 1702.70025 to the nearest one hundred.
1700
What is -45110.747 rounded to the nearest one hundred?
-45100
What is 21774.809 rounded to the nearest one hundred?
21800
What is 3681918.65 rounded to the nearest one hundred thousand?
3700000
What is 21783.3486 rounded to the nearest one hundred?
21800
Round -50693604.2 to the nearest 1000000.
-51000000
Round -12.4451573 to two decimal places.
-12.45
Round 24448923.9 to the nearest 1000.
24449000
Round -0.92007276 to 2 decimal places.
-0.92
Round -0.000159048718 to five dps.
-0.00016
Round 0.000000142523495 to 7 dps.
0.0000001
What is -0.7208736 rounded to zero dps?
-1
Round 81144.1501 to the nearest 100.
81100
What is -193110.922 rounded to the nearest 100000?
-200000
Round -104940529.23 to the nearest one hundred thousand.
-104900000
What is 6598612.08 rounded to the nearest 1000000?
7000000
Round -4222.956525 to the nearest ten.
-4220
What is 1708.86233 rounded to the nearest one hundred?
1700
What is -2609534.285 rounded to the nearest one thousand?
-2610000
What is -0.001365437682 rounded to five dps?
-0.00137
Round -0.0902562 to 1 dp.
-0.1
What is -38247921700 rounded to the nearest one million?
-38248000000
What is -0.0059579282 rounded to 4 dps?
-0.006
Round -860148.04 to the nearest 10000.
-860000
What is -675911070 rounded to the nearest 100000?
-675900000
What is 0.04639377898 rounded to three dps?
0.046
What is -128.366968 rounded to the nearest 10?
-130
Round -0.000062910008 to 5 decimal places.
-0.00006
What is -1165.05771 rounded to the nearest 1000?
-1000
Round -184.336613 to the nearest one hundred.
-200
Round 40.27061766 to two dps.
40.27
What is -8158956.2 rounded to the nearest 10000?
-8160000
What is -412476.299 rounded to the nearest ten thousand?
-410000
Round -0.00000537480859 to seven decimal places.
-0.0000054
What is -1.2724552817 rounded to 3 dps?
-1.272
Round 0.19179209 to two decimal places.
0.19
Round 56054.648 to the nearest 100.
56100
Round -0.1511944639 to 6 decimal places.
-0.151194
Round -63792730.6 to the nearest one hundred thousand.
-63800000
Round -273780.4114 to the nearest ten thousand.
-270000
Round -0.000003906193429 to six dps.
-0.000004
Round 8089876 to the nearest 100000.
8100000
What is -0.16185614 rounded to 3 decimal places?
-0.162
Round -0.1530438367 to four dps.
-0.153
What is -6.39176962 rounded to two dps?
-6.39
What is -0.0082591518 rounded to five dps?
-0.00826
What is 4059.130991 rounded to two decimal places?
4059.13
Round 189.7454079 to zero decimal places.
190
What is -7626.0578 rounded to the nearest 1000?
-8000
What is 0.000084715354 rounded to six decimal places?
0.000085
What is 2415.710076 rounded to the nearest 1000?
2000
Round -0.00000434461385 to 6 decimal places.
-0.000004
What is -0.000000337651673 rounded to 7 decimal places?
-0.0000003
What is -0.201800336 rounded to 2 decimal places?
-0.2
Round 3873094.4 to the nearest 10000.
3870000
Round -0.036464603 to 5 dps.
-0.03646
Round 577195.029 to the nearest ten thousand.
580000
Round -0.000000126758915 to seven dps.
-0.0000001
Round 133.840409 to one decimal place.
133.8
Round -5675.9503 to the nearest one hundred.
-5700
Round -0.0004010953597 to five decimal places.
-0.0004
What is 280.315466 rounded to 0 dps?
280
What is -0.00000424050384 rounded to seven d
|
{
"pile_set_name": "DM Mathematics"
}
|
(v).
-14*v**3
Let s(a) = 25*a - 9. Let n be ((-406)/(-609))/((-2)/(-6)). Let z(m) = -12*m + 4. Determine n*s(p) + 5*z(p).
-10*p + 2
Let y(v) = v**2 + v + 1. Suppose -6*j + 12 = -2*j. Let f be 5 - (j + -5) - 3. Suppose 5*d = 3*d + f. Let w(k) = 2*k**2 + 3*k + 2. What is d*w(t) - 6*y(t)?
-2*t**2 - 2
Let s be (1/(-1))/((-2)/6). Let p(z) = z**3 - z + 1. Suppose a = f, -17*f + 15*f + 5*a - 18 = 0. Let o(b) = -b**3 + 2*b - 2. Give f*p(i) + s*o(i).
3*i**3
Let v(m) = -5*m - 4. Let w(q) = -2820*q - 2835*q + 11 + 5669*q. Let g = 3 + -10. Let u(t) = g*v(t) - 2*w(t). Let i(s) = -8*s - 7. What is -6*i(k) - 7*u(k)?
-k
Let k be -1 - (-760)/266*14/(-4). Let s(b) = -15*b - 11. Let x(v) = 7*v + 6. Calculate k*x(c) - 6*s(c).
13*c
Let l(h) = h - 1. Let s(y) = -y**2 + 38*y + 599. Let q be s(50). Let v(m) = -m. Let b(n) = -n - 11. Let x(i) = b(i) - 6*v(i). Give q*x(a) + 6*l(a).
a + 5
Let f(y) = 5*y - 2. Let t(k) = -21*k + 26. Give -3*f(p) - t(p).
6*p - 20
Let g(w) = -2*w + 2. Let i(y) = -9*y + 11. Let n(x) = 6*x**3 + x**2 - 3*x + 7. Let u be n(3). Let l = 171 - u. Calculate l*i(f) - 11*g(f).
4*f
Let j(u) = -22*u + 8. Let v(w) = -49*w + 17. Determine 11*j(z) - 5*v(z).
3*z + 3
Let m(u) = 5. Let a(n) = 27*n - 18. Calculate a(h) + 7*m(h).
27*h + 17
Suppose -5*k - g = -271, -5*k + 4*g + 94 + 172 = 0. Suppose 42*h = 33*h + k. Let s(w) = 105*w - 91. Let r(a) = -7*a + 6. What is h*s(x) + 91*r(x)?
-7*x
Let p(c) = 2*c - 16. Let f = -21751 - -21749. Let v(y) = y - 8. Calculate f*p(t) + 5*v(t).
t - 8
Let z(w) = -17*w**2 + 4*w - 8. Let f(m) = 20*m**2 - 5*m + 4. Calculate 6*f(i) + 7*z(i).
i**2 - 2*i - 32
Let s(y) = -4*y**3 - 5*y**2 - y - 3. Suppose 510 = -105*h + 3*h. Let b(x) = x**3 + x**2 + 1. Suppose t + 20 = 19. Calculate h*b(p) + t*s(p).
-p**3 + p - 2
Let n(k) = k**3 - 4*k**2 - 5*k - 4. Let h(v) = -v**2 - 1. Let a = 376 + -352. Suppose 1 + a = -25*r. What is r*n(j) + 4*h(j)?
-j**3 + 5*j
Let r(w) = 2*w**2 - 4*w + 4. Let o = 1597 - 1600. Let u(b) = -b + 1. Calculate o*r(d) + 12*u(d).
-6*d**2
Let n(o) = 23*o. Let z(t) = -27 + 8 + 15 - 12*t + 4. Let s(y) = -y + 6. Let w be s(0). What is w*n(x) + 11*z(x)?
6*x
Let o(c) = 63*c + 25. Let v(i) = -252*i - 102. Calculate -21*o(h) - 5*v(h).
-63*h - 15
Let n(x) = -40*x + 19. Let l(q) = -80*q + 45. Calculate 2*l(o) - 5*n(o).
40*o - 5
Let q be -20 + 21 + (1 - 0) + (0 - 3). Let w(a) = 11*a - 1. Let v(y) = y - 1. What is q*w(o) + 3*v(o)?
-8*o - 2
Let l(u) = -19*u**2 + 6*u. Let p(c) = 376*c**2 - 125*c + 9. Let g(y) = 3000*y**2 - 1000*y + 75. Let m(j) = -3*g(j) + 25*p(j). Determine 125*l(h) + 6*m(h).
25*h**2
Let t(q) = -10*q**2 + 749. Let m(y) = 58*y**2 - 4489. Give 4*m(w) + 23*t(w).
2*w**2 - 729
Let l(d) be the second derivative of -d**2/2 - d + 634. Let k(b) = 5*b - 2. Let x = 287 + -288. Calculate x*k(p) + 2*l(p).
-5*p
Let f(g) be the second derivative of -11*g**5/20 + 7*g**4/6 - 13*g**3 + 3*g**2 + 932*g. Let p(y) = -7*y**3 + 9*y**2 - 52*y + 4. What is 5*f(j) - 8*p(j)?
j**3 - 2*j**2 + 26*j - 2
Let o(l) = -10*l**3 + 3*l**2 + 2*l - 4. Let w(c) = 51*c**3 - 16*c**2 - 10*c + 21. Give 11*o(k) + 2*w(k).
-8*k**3 + k**2 + 2*k - 2
Let p(l) = -7*l**2 - 7*l - 12. Let w(t) = -9*t**2 - 8*t - 9. What is -6*p(x) + 5*w(x)?
-3*x**2 + 2*x + 27
Let x(k) = 4*k**2 + 3*k + 1. Let l = 9 - 12. Let n be (1*2 - 1)*(40 - 44). Let q be ((n - -5)*-5)/(-1). Let z(v) = 2*v**2 + 2*v + 1. Determine l*x(y) + q*z(y).
-2*y**2 + y + 2
Let y(t) = 3*t. Let o(j) = -3 - 16*j + 3. Let q be ((-187)/(-20) - 3/(-12))/(138/345). Calculate q*y(d) + 5*o(d).
-8*d
Let k(u) = 39*u**3 + 698*u**2 - 5*u - 5. Let b(r) = -23*r**3 - 349*r**2 + 3*r + 3. Determine 10*b(n) + 6*k(n).
4*n**3 + 698*n**2
Let r(m) = -m**3 + m**2. Let h(b) = -b**3 - 3*b**2 - b + 2. Let p be ((-18)/216)/(((1 - -3)/24)/(-2)). What is p*h(l) + r(l)?
-2*l**3 - 2*l**2 - l + 2
Let w(s) = -7*s**3 + 83*s**2 + 121*s - 9. Let a(p) = -4*p**3 + 42*p**2 + 55*p - 4. What is -11*a(d) + 5*w(d)?
9*d**3 - 47*d**2 - 1
Let y(j) = 6*j - 8. Let w(h) = -27 - 2*h + h + 22 + 11 - 3*h. Let q(g) = 10*g - 15. Let s(k) = -3*q(k) - 8*w(k). Calculate -11*s(b) + 4*y(b).
2*b + 1
Let y(m) = -m + 2. Let r(j) be the second derivative of j**3 - 5*j**2 + 2*j. Suppose 79*q - 9 = 80*q, u = 5*q + 34. Give u*y(w) - 2*r(w).
-w - 2
Let k(d) = -2*d**3 + 5*d**2 - 4*d + 1. Let j be (-2)/(2/(-6)*-1). Let m(h) = 2*h**3 - 6*h**2 + 5*h - 1. Let t be 6557/(-1328) - 2/32. Calculate j*k(r) + t*m(r).
2*r**3 - r - 1
Let a(p) = -5*p**3 + 2*p**3 - 13*p**2 - 12*p**3. Let z(s) = 7*s**3 + 6*s**2. Suppose -212*g + 207*g - 51 = 2*x, g = 2*x - 27. Determine g*z(d) - 6*a(d).
-d**3
Let c(o) = 7*o - 4. Let b(p) = -20*p + 12. Let f(l) = -577*l + 571. Let z be f(1). Give z*b(v) - 17*c(v).
v - 4
Let h(c) = -10435*c**2 + 2. Let m(v) = -163266012*v**2 + 31293. Determine 31293*h(r) - 2*m(r).
-10431*r**2
Let r(q) = -1554*q**2 - 12*q + 4. Let z(u) = -1553*u**2 - 9*u + 3. What is -3*r(l) + 4*z(l)?
-1550*l**2
Let g(l) = -975*l - 2. Let d(v) = -1950*v - 3. What is -5*d(y) + 9*g(y)?
975*y - 3
Let f(s) = s**2 + 7*s + 4. Suppose -l + 6*l = -20. Let o(k) be the second derivative of -k**4/12 - k**3 - 3*k**2/2 - 726*k. Give l*o(u) - 3*f(u).
u**2 + 3*u
Let o(l) = 67*l - 41. Let k(q) = -40*q + 25. Let m(y) = 8*k(y) + 5*o(y). Let d(p) = 7*p - 2. Calculate -5*d(a) + 2*m(a).
-5*a
Let m(q) = 5*q + 3*q - 4*q - 2*q. Let h(w) = -3*w. Let b(o) = 5*o + 2. Let x be b(0). Suppose -3*c = x*d - 0 - 11, -10 = -3*c - d. Determine c*h(i) + 5*m(i).
i
Let x = -27166 + 27160. Let p(l) = -4*l + 1 + 3*l + 2*l + l**3. Let n(c) = 2 + 9*c + 4 - c + c**2 + 7*c**3. Determine x*p(m) + n(m).
m**3 + m**2 + 2*m
Let d(f) = -2*f**2 - 72*f - 203. Let n(m) = -2*m - 20. Calculate d(s) - 8*n(s).
-2*s**2 - 56*s - 43
Suppose -2*x = -0*x + 4. Let g(p) be the third derivative of -19 - 1/4*p**4 - 5/6*p**3 + 0*p + 2*p**2. Let s(t) = -t - 1. Calculate x*g(c) + 11*s(c).
c - 1
Suppose -m + 3*r - 18 = -2*r, 2*m - 5*r = -36. Let j be m/6 + 1 + -1. Let x(y) = -2*y + 2. Let w(s) = 4*s - 5. Let g = 84 - 91. Give g*x(u) + j*w(u).
2*u + 1
Let w(z) = z - 3190. Let l(b) = -4*b + 9478. Calculate 2*l(t) + 7*w(t).
-t - 3374
Let l(o) = 65*o + 5. Let n(t) = -618*t - 235 - 361 + 548. What is -48*l(y) - 5*n(y)?
-30*y
Let j(k) = -2*k**3 - 2*k**2 - 2*k. Let x(r) = 52*r**3 + 3*r**2 - 10*r. Determine 5*j(p) - x(p).
-62*p**3 - 13*p**2
Let k(a) = a**2. Let q(w) = -1374*w + 2747. Let i be q(2). Let u(c) = -5*c**2 - 3*c - 2. Determine i*u(m) - k(m).
4*m**2 + 3*m + 2
Let p(t) = 279391*t**2 - 835*t + 835. Let q(m) = 2010*m**2 - 6*m + 6. Determine -6*p(h) + 835*q(h).
2004*h**2
Let q(d) = 36*d**2 - 3*d + 2. Let w be q(-1). Let h = 64 + -27. Let g = h - w. Let x(n) = -n**2 + 7*n + 7. Let y(o) = -o - 1. Give g*x(f) - 28*y(f).
4*f**2
Let o(a) = 87477 + 87466 - 174944. Let b(w) be the third derivative of -5/6*w**3 - 1/12*w**4 + 0*w + 1/20*w**5 - 2*w**2 + 0. Determine -b(k) + 5*o(k).
-3*k**2 + 2*k
Let c(q) = 10*q - 163. Let k(b) = 9*b - 148. Let v(a) = 11*c(a) - 12*k(a). Let n(m) = -3*m + 18. Determine -3*n(g) - 4*v(g).
g + 14
Let h(u) = 15*u + 13. Let n(d) = 7*d + 6. Suppose 0 = -10*a - 294 + 1894. Suppose a*f + 3*z = 155*f - 33, 3*z = -f - 9. Give f*h(y) + 13*n(y).
y
Let n(l) = -15*l**2 - 3*l + 108. Let z(o) = 41*o**2 + 9*o - 321. What is -11*n(k) - 4*z(k)?
k**2 - 3*k + 96
Let y(i) be the first derivative of i - 27. Let k(m) = 11*m - 9*m - m - 3 + 3. Let q(z) = 4*z + 1. Let a be q(-1). What is a*k(j) + y(j)?
-3*j + 1
Let g(h) = -24*h + 5 + 114*h - 5. Let p = 311 + -332. Let o(u) = -9*u. Give p*o(t) - 2*g(t).
9*t
Let j = 97 - 38. Let n(y) = 30 - y**2 + 30 + y - j. Let l(b) = -3*b**2 + 8*b + 7. Calculate -l(s) + 5*n(s).
-2*s**2 - 3*s - 2
Let a(u) = 5135*u - 2. Let j(n) = 1222127*n - 477. Give -477*a(h) + 2*j(h).
-5141*h
Let y = 10 - 5. Let j(a) = 6*a - 4. Suppose 0*v + 22 = 5*c + 4*v, -4 = -c - v. Let m(p) = 12*p - c*p + 3 - 11*p. Give y*m(i) + 4*j(i).
-i - 1
Suppose -105*l = 174*l - 127*l - 225 + 73. Let f(n) = -n + 1. Let z(y) = -5*y. Let j(o) = 6*o. Let t(x) = -4*j(x) - 5*z(x). Calculate l*f(d) + 3*t(d).
2*d + 1
Let g(f) = 51*f**2 + 9*f - 3. Let q(w) = -42*w**2 - 10*w + 3. What is -6*g(u) - 7*q(u)?
-12*u**2 + 16*u - 3
Let k(t) = -6*t**2 + 2*t + 1. Let z(v) = 20*v**2 - 13*v + 14. Determine -3*k(d) - z(d).
-2*d**2 + 7*d - 17
Let v(n) = -n**3 - n. Let g(l) = -102*l**3 + 3*l**2
|
{
"pile_set_name": "DM Mathematics"
}
|
o.
2634*o
What is the first derivative of 53750 - 279*d - 1053*d - 54560 wrt d?
-1332
Find the second derivative of -2880*c**3 + 4128*c - 2004*c - 2016*c wrt c.
-17280*c
Let h(i) = -2664*i**2 - 6*i + 2519. Let d(o) = 2578*o**2 + 5*o - 2520. Let u(r) = -6*d(r) - 5*h(r). Differentiate u(b) with respect to b.
-4296*b
Let n(c) be the second derivative of 122*c**6/15 + c**5/20 + c**4/3 - 227*c**2/2 - 1863*c. Find the third derivative of n(i) wrt i.
5856*i + 6
Let r(q) be the first derivative of 1201*q**6/6 + q**2 - 4*q - 128. Find the second derivative of r(h) wrt h.
24020*h**3
Find the first derivative of 85 + 118 - 236 + 66 - 1902*c wrt c.
-1902
Let m(b) = b**2 - 2 - 5 - 1 - 3 - 15*b. Let n be m(16). What is the third derivative of 3*j**n + 5*j**5 + 14*j**5 - 15*j**2 wrt j?
1320*j**2
Suppose 16*m - 12*m + 292 = 0. Let y = m - -89. What is the derivative of -3*f**2 + 10*f**4 - 13*f**2 + 23 + y*f**2 wrt f?
40*f**3
Let f(c) = -2*c - 2. Suppose w + 0 = -2. Let u be f(w). Differentiate -15*n**2 - 11*n**2 - 18 + 5 + u*n**2 with respect to n.
-48*n
Let g(i) = -8*i**3 + 46*i**2 + 8*i - 2058. Let v(l) = -9*l**3 + 45*l**2 + 10*l - 2063. Let t(q) = -5*g(q) + 4*v(q). Differentiate t(a) with respect to a.
12*a**2 - 100*a
Suppose 0 = -3*m - i - 2, 4*m + 5 = -0*i + i. Let n be ((-9)/6)/m + (-1)/(-2). Find the second derivative of 26*f - 45*f**3 + n*f - 47*f**3 + 111*f**3 wrt f.
114*f
Let r(f) be the third derivative of -2167*f**6/60 - 50*f**4/3 + 15*f**2 + 4*f - 2. Find the second derivative of r(d) wrt d.
-26004*d
Let j(z) be the first derivative of -3507*z**2/2 - 3239*z - 1259. Differentiate j(g) with respect to g.
-3507
Let f = 20/223 + 629/446. Let x(y) be the first derivative of -f*y**2 + 16*y + 4. Differentiate x(g) wrt g.
-3
Let i(b) = 39*b + 130. Let c(l) = 2. Let x be 17/(102/12) + -20. Let d(r) = x*c(r) + 2*i(r). Find the first derivative of d(q) wrt q.
78
Let x(l) be the second derivative of -5/2*l**5 + 1 - 3*l + 65/2*l**2 + 0*l**3 + 0*l**4. What is the derivative of x(h) wrt h?
-150*h**2
Suppose 110*k = 108*k + 4. Find the third derivative of v**2 - 5*v - 135*v**3 + 0*v**k + 9*v**2 - 2*v**2 wrt v.
-810
Let x(t) be the second derivative of -491*t**6/3 - t**4/12 + 13*t**3 - t**2 - 83*t - 24. Find the third derivative of x(z) wrt z.
-117840*z
What is the third derivative of -224*f**4 + 732 - 2*f**5 - 1804*f**4 + 0*f**5 + 127 + 3*f**2 + 3*f**5 wrt f?
60*f**2 - 48672*f
Let y(w) be the second derivative of 1927*w**5/20 - 27*w**4/2 + 5*w**2/2 + 2230*w. Find the third derivative of y(j) wrt j.
11562
Let z = -163 + 223. Differentiate 56 - 30 + z + 8*k wrt k.
8
Let j(n) = 2762*n + 3647. Let i(d) = -2762*d - 3745. Let f(z) = -3*i(z) - 4*j(z). What is the derivative of f(l) wrt l?
-2762
Let l(g) be the first derivative of -627*g**4/4 + 468*g - 415. What is the derivative of l(r) wrt r?
-1881*r**2
Let j(d) be the third derivative of d**8/42 - d**6/40 + 1703*d**5/15 - d**2 - 55*d + 1. Find the third derivative of j(o) wrt o.
480*o**2 - 18
Let p be (1 + (-3)/3)/(3 - (-4 + 8)). Let d(q) be the first derivative of 35/4*q**4 + 27 + p*q**2 + 0*q**3 - 19*q. What is the derivative of d(j) wrt j?
105*j**2
Differentiate 1729*j**2 - 625 + 1804 - 2607*j**2 + 3034 - 3410*j**2 with respect to j.
-8576*j
Let n(o) = -2*o + 10. Let k be (2 + 1)*((-28)/(-4) + -6). Let v be n(k). Find the second derivative of 1243*u**2 - 1243*u**2 - 2*u**v - 28*u wrt u.
-24*u**2
Find the first derivative of -142*t - 847 - 1117 + 1745 + 324*t + 542*t wrt t.
724
Let z(w) be the third derivative of -7639*w**5/60 - 7*w**4/12 + 2*w**3/3 - w**2 + 1469*w. Find the second derivative of z(h) wrt h.
-15278
Let d(b) = -3*b**3 - 4*b**2 + 5*b + 4. Let s be d(-2). What is the second derivative of 147*l + 2 - 46*l - 56*l - 51*l - 156*l**s wrt l?
-312
Let l(t) = -2*t**2 - t + 15. Let b be l(5). Let j = -36 - b. What is the second derivative of -3*d**5 - 4 + j - 24*d wrt d?
-60*d**3
What is the second derivative of 314*j**2 + 8*j**3 + 1 + 328*j**2 + 438*j + 320*j**2 - 1228*j**2 + 300*j**2 wrt j?
48*j + 68
Let p = 18 + -11. Suppose 0*c - p = -2*c - 5*j, j = 3*c - 19. Find the first derivative of -15*v - 14 - c - 14 + 11 wrt v.
-15
Let q(j) be the first derivative of j**4/2 + 113*j**3/3 - 2697*j**2/2 - 2793. Find the second derivative of q(t) wrt t.
12*t + 226
Let s be (1 - 1)/(167 + -163). Let v(j) be the third derivative of 0*j**3 - 2/5*j**5 + 7/8*j**4 + 0*j + s - j**2. Find the second derivative of v(g) wrt g.
-48
Let l(r) = -735*r**2 + 8*r + 1218. Let u(d) = -1467*d**2 + 19*d + 2434. Let h(p) = -7*l(p) + 3*u(p). What is the second derivative of h(x) wrt x?
1488
Let v(f) = 34*f - 51. Let t = 245 + -250. Let u(l) = -16*l + 26. Let w(x) = t*u(x) - 2*v(x). Differentiate w(a) wrt a.
12
Let c(w) = 2087*w**2 + 6*w - 1383. Let l(d) = 4177*d**2 + 14*d - 2765. Let h(v) = 7*c(v) - 3*l(v). What is the first derivative of h(a) wrt a?
4156*a
Let p(h) = 5*h - 14. Suppose -2 - 13 = -3*i. Let j be p(i). What is the second derivative of 12 - j - 1 - 23*g - 12*g**2 wrt g?
-24
Let z(r) be the first derivative of -1893*r**4/2 + 4916*r**3/3 + 3749. Find the third derivative of z(q) wrt q.
-22716
Let x(o) = -4*o - 5 + 4 + 2*o**2 - o**2 - 1 + o**3. Let j be x(-2). Find the third derivative of 14*r**2 - j*r**2 + 13*r**5 - 36*r**5 + 15*r**2 wrt r.
-1380*r**2
Let z(c) be the first derivative of 1633*c**2/2 + 1437*c + 1788. Differentiate z(i) with respect to i.
1633
Suppose 5*f + 21*q - 26*q - 160 = 0, 0 = -2*f + q + 56. Let c(j) be the first derivative of 37*j + 0*j**3 - 17/4*j**4 + 0*j**2 - f. Differentiate c(y) wrt y.
-51*y**2
Let s(n) = -675*n**3 + 14*n**2 - 6*n + 287. Let r(a) = 673*a**3 - 11*a**2 + 5*a - 286. Let i(d) = 6*r(d) + 5*s(d). Find the third derivative of i(f) wrt f.
3978
Let b(x) = -9246*x**2 + 2*x + 1412. Let s(n) = -27737*n**2 + 7*n + 4239. Let a(g) = 7*b(g) - 2*s(g). Differentiate a(h) wrt h.
-18496*h
Find the second derivative of -15309*r**2 - 24 - 15710*r**2 - 11*r + 30481*r**2 wrt r.
-1076
Let t(j) be the first derivative of -71 - j + 0*j**3 + 0*j**4 + 15/2*j**2 - 172/5*j**5. What is the second derivative of t(k) wrt k?
-2064*k**2
Let p be 54/21 - (-12)/28. Let b be (-2 + p/2)*(-2 - 8). What is the second derivative of -4*d**5 - 5*d + 4*d**5 - 8*d**b wrt d?
-160*d**3
Let a(r) be the third derivative of 27*r**7/5 - r**6/60 - r**5/30 + 1579*r**4/12 + 18*r**2 - 11*r. Find the second derivative of a(p) wrt p.
13608*p**2 - 12*p - 4
Let v(u) be the third derivative of 1741*u**5/15 + 275*u**3 - 1827*u**2 - 2*u + 1. Find the first derivative of v(b) wrt b.
13928*b
Find the second derivative of -1552*l**2 + 2580*l - 2472*l**2 + 3102*l**2 wrt l.
-1844
Let l(r) = -4*r**2 - 10*r + 4. Let g(d) = d**3 - 4*d**2 - 10*d + 3. Let t be (30/25)/3*-5. Let z(p) = t*l(p) + 3*g(p). Find the second derivative of z(f) wrt f.
18*f - 8
Let c = -209 + 214. What is the second derivative of -25*a + 1367*a**5 + 74*a - 2*a**4 - 1370*a**c + 3*a**4 wrt a?
-60*a**3 + 12*a**2
Let y(r) = -998*r - 1269. Let t(a) = -1496*a - 1904. Let o(w) = 5*t(w) - 7*y(w). What is the derivative of o(i) wrt i?
-494
Let f(c) = 492*c**3 + 449*c**2 + 4*c - 2. Let q(r) = -981*r**3 - 896*r**2 - 9*r + 4. Let j(w) = 9*f(w) + 4*q(w). What is the third derivative of j(z) wrt z?
3024
Let p(w) be the third derivative of 1019*w**7/210 - 47*w**5/12 + w**2 - 297*w. What is the third derivative of p(x) wrt x?
24456*x
Let a = 104 - 104. Suppose -14 = -3*x - 5*g - a, -5*x + 5*g = -10. Find the second derivative of x*q - 235*q**5 + 249*q**5 - 7*q wrt q.
280*q**3
Let o(c) be the first derivative of -17*c**4/8 - 8*c**3/3 + 28*c**2 + 23. Let j(k) be the second derivative of o(k). Differentiate j(w) wrt w.
-51
Let o(y) be the third derivative of -43*y**7/70 - 13*y**5/60 + 47*y**4/8 + y**3/6 + 3*y**2 - 8*y + 7. Find the second derivative of o(q) wrt q.
-1548*q**2 - 26
Let b be 95*(6/10 - (9 + -9)). Let u = b - 51. What is the second derivative of 16*c**2 + 3*c + 10*c + u*c - 5*c wrt c?
32
Let u(x) be the first derivative of 54*x**5/5 + 7*x**2/2 - 689*x - 497. Differentiate u(g) with respect to g.
216*g**3 + 7
Let f be 1 + -3 + (3 - -3). What is the first derivative of -2 + 3 - 16 - 78*r**f + 30*r**4 wrt r?
-192*r**3
Let t(y) be the second derivative of 893*y**7/42 - y**4/4 + y**3 + 30*y -
|
{
"pile_set_name": "DM Mathematics"
}
|
-1, 0, 2
Let f(h) be the second derivative of h**7/147 + 2*h**6/105 - h**5/35 - 2*h**4/21 + h**3/21 + 2*h**2/7 + 7*h. Solve f(u) = 0.
-2, -1, 1
Let k be 2 + 3 + -1 + 77. Factor 0*b - 6 + 9*b - 84*b**3 + 0*b + 0 + k*b**2.
-3*(b - 1)*(4*b - 1)*(7*b + 2)
Let q = 135 + -1619/12. Let a(v) be the third derivative of -1/15*v**5 + 0*v**3 + 0 + q*v**4 - v**2 + 1/60*v**6 + 0*v. Find z, given that a(z) = 0.
0, 1
Let w(x) = -x + 1. Let s be w(1). Suppose n - 5*d - 20 = 26, 2*n + 3*d - 27 = s. Factor -3*h**3 + 9*h**2 - 27*h - n*h**2 - 6*h**2.
-3*h*(h + 3)**2
Let q(h) = h**2 - 7*h + 5. Let u be q(7). Solve -8 - 6*m**2 + 2*m**u - 5*m**5 - 4*m**3 + 6 + 8*m**4 + 7*m = 0 for m.
-1, 2/3, 1
Let a = 23 - 14. Factor -q**3 - 7 - 4*q**2 + a + 2*q**2 + q.
-(q - 1)*(q + 1)*(q + 2)
Factor 8/9*n + 0 + 2/9*n**2.
2*n*(n + 4)/9
Suppose -3/7 - 6/7*l - 3/7*l**2 = 0. What is l?
-1
Let z(u) = 42*u - 11. Let b be z(5). Let y = 999/5 - b. Find n, given that -4/5 + y*n**2 + 2/5*n - 2/5*n**3 = 0.
-1, 1, 2
Let i = 31301/50 - 626. Let q(z) be the second derivative of 0 - 1/6*z**4 - 4/5*z**2 + 8/15*z**3 + z + i*z**5. Solve q(s) = 0.
1, 2
Factor -7/4*l**4 - 5/4*l**5 + 0 + 0*l + 0*l**2 - 1/2*l**3.
-l**3*(l + 1)*(5*l + 2)/4
Let n = -32/7 - -174/35. Let b(s) = -s**2 - 12*s - 23. Let d be b(-9). Suppose 0*r**2 + 0 + 8/5*r + n*r**d - 6/5*r**3 = 0. What is r?
-1, 0, 2
Let v(a) be the third derivative of -a**6/300 + a**5/10 - 5*a**4/4 + 25*a**3/3 - 26*a**2. What is s in v(s) = 0?
5
Let x(h) = -h**3 - h**2 - h - 1. Let r(q) = -3*q**3 - 2 - 4 + 2*q - 6*q**2 - 12*q**2 + q**3. Let a(g) = -r(g) + 6*x(g). Factor a(t).
-4*t*(t - 2)*(t - 1)
Let n = 1/8 - -3/8. Let z be 2 - 0/1 - 0. Determine k, given that -1/2 - n*k**z + k = 0.
1
Solve -8/9*r**5 - 4/3*r**3 - 2/9*r**2 + 0*r - 2*r**4 + 0 = 0.
-1, -1/4, 0
Let d(v) = -v**2 - 4*v. Let n be d(-4). What is m in m**2 - 1 + m + 0 + m**3 + n*m**3 - 2*m**3 = 0?
-1, 1
Suppose 69*l = 71*l - 8. Let t(j) be the third derivative of 2/15*j**3 + 0*j + 0 - 3*j**2 + 1/60*j**l - 1/150*j**5. Let t(r) = 0. What is r?
-1, 2
Let c(a) = a**3 + 6*a**2 - 7*a - 2. Let y be c(-7). Let m be ((-6)/3)/y + 8. Find q such that -5 + q**2 + 0*q**3 + 2 - 10*q**2 + 3*q**3 + m*q = 0.
1
Let u(t) = -2 + 7*t**2 + 0 + 5*t**3 + 6*t - 8*t**4 + 1 - 5. Let w(k) = -7*k**4 + 4*k**3 + 6*k**2 + 5*k - 5. Let s(f) = 5*u(f) - 6*w(f). Factor s(q).
q**2*(q + 1)*(2*q - 1)
Let j = 287/582 + 2/291. Factor -j*f - 1/4*f**2 - 1/4.
-(f + 1)**2/4
Let w(b) be the second derivative of b**5/180 + b**2/2 + 3*b. Let y(d) be the first derivative of w(d). Suppose y(r) = 0. What is r?
0
Let u(n) be the third derivative of -1/60*n**6 - 1/30*n**5 + 1/105*n**7 + 1/12*n**4 + 0*n + 0*n**3 + 0 - 2*n**2. Let u(x) = 0. What is x?
-1, 0, 1
Let m(w) = 2*w**5 - 8*w**3 - 2*w**2 + 6*w + 4. Let j(r) = -r**5 - r**4 + r**2 + r + 1. Let b(c) = 2*j(c) - m(c). What is n in b(n) = 0?
-1, -1/2, 1
Determine u so that -6/7 - 2/7*u + 2/7*u**3 + 6/7*u**2 = 0.
-3, -1, 1
Let h = 494 + -494. Factor -4/5*n + h - 2/5*n**2.
-2*n*(n + 2)/5
Let k(t) be the third derivative of -t**10/56700 + t**9/30240 + t**8/30240 - t**5/30 - t**2. Let y(u) be the third derivative of k(u). Factor y(w).
-2*w**2*(w - 1)*(4*w + 1)/3
Let w(b) be the third derivative of -b**6/480 + b**5/240 + b**4/48 - 12*b**2. Find d such that w(d) = 0.
-1, 0, 2
Suppose 8*m - 24 = 5*m. Let d be (-3)/(-5)*(m + -3). Suppose -2 + 3*a - 1 - 6*a**3 + 6*a**4 + 3*a - d*a**4 = 0. Calculate a.
-1, 1
Let c be 2/(3 - (-1308)/(-428)). Let f = c + 36. Factor f*q**2 - 1/3 - 1/3*q + 1/3*q**3.
(q - 1)*(q + 1)**2/3
Let z(h) = -2*h**2 + 10*h - 2. Let g be z(7). Let r be ((-20)/(-50))/((-8)/g). Let -r*b**2 + 1/2*b**3 + 3/2*b - 1/2 = 0. Calculate b.
1
Suppose -5*b = -22 - 8. Let s(i) = -i**2 + 7*i - 7. Let v(l) = -l + 1. Let a(k) = b*v(k) + 2*s(k). Suppose a(n) = 0. Calculate n.
2
Factor -2/13*w**2 + 2/13*w - 2/13*w**3 + 2/13*w**4 + 0.
2*w*(w - 1)**2*(w + 1)/13
Let j(m) be the second derivative of 2/33*m**3 + 1/11*m**2 - m + 0*m**4 - 1/55*m**5 + 0 - 1/165*m**6. Determine y so that j(y) = 0.
-1, 1
Let x be (-3)/12*-4 + -1. Determine n, given that 0*n**3 + 2/3*n**4 + x*n + 0 + 1/3*n**5 + 0*n**2 = 0.
-2, 0
Let k(a) = 2*a**3 + a**2 + a - 1. Let s be k(1). Suppose 0 = -6*n + s*n + 24. Factor f**2 + 1 + 7 + n*f + f**2.
2*(f + 2)**2
Let s be -6*1*3/(-6). Factor 3*t + 3*t**2 - 4*t**4 + t**3 - 4*t**s + t**4.
-3*t*(t - 1)*(t + 1)**2
Let s(u) be the second derivative of u**4/24 - u**3/12 + 27*u. Find m such that s(m) = 0.
0, 1
Let v(l) be the third derivative of l**5/20 + l**4/24 - 2*l**3/3 + 13*l**2. Determine w, given that v(w) = 0.
-4/3, 1
Find s such that 2*s**3 - 29*s**2 - 20*s**2 + 53*s**2 - 3*s**3 + 11*s + 6 = 0.
-1, 6
Let z(g) = -5*g**3 + 14*g**2 + 2*g + 2. Let o(u) = 81*u**3 - 225*u**2 - 33*u - 33. Let p(h) = -2*o(h) - 33*z(h). Suppose p(b) = 0. Calculate b.
0, 4
Let b = -9 - -13. Suppose 3*v = b*v - 2. Suppose -2*f - f**2 + 0*f**2 - f**v = 0. What is f?
-1, 0
Let a(f) be the third derivative of -f**9/5040 + f**7/280 + f**6/120 - f**4/6 - 2*f**2. Let t(g) be the second derivative of a(g). Solve t(k) = 0 for k.
-1, 0, 2
Let m(r) be the second derivative of -r**6/10 + 3*r**5/20 + r**4/4 - r**3/2 - r. Suppose m(w) = 0. What is w?
-1, 0, 1
Let i(d) be the third derivative of -d**2 + 0 + 4/9*d**3 + 1/90*d**6 + 1/315*d**7 + 0*d - 1/9*d**4 - 1/30*d**5. Find y such that i(y) = 0.
-2, 1
Let u(a) be the first derivative of -2/5*a**5 + 1/2*a**4 + 7/2*a**2 + 8/3*a**3 + 2*a - 6 - 1/6*a**6. Find y, given that u(y) = 0.
-1, 2
Let 7/4*l**4 + 0 + 2*l**2 + 19/4*l**3 - l = 0. What is l?
-2, -1, 0, 2/7
Let y be (-2)/6*-3*5/15. Factor 2/3 - y*g**2 - 1/3*g.
-(g - 1)*(g + 2)/3
Let k(u) be the first derivative of -3*u**4/4 + 2*u**3/3 + 28. Solve k(p) = 0.
0, 2/3
Let d(b) be the third derivative of -b**5/60 + b**3/6 - 3*b**2. Let d(x) = 0. What is x?
-1, 1
Let p(x) = x**2 + 1. Let n(u) = 2. Suppose 4*a + 3 = 3*k, -4*a = -3*a. Let t(g) = k*n(g) - p(g). Suppose t(o) = 0. What is o?
-1, 1
Suppose 4 = 14*u - 10*u. Let r be u*-4 + (-117)/(-26). Solve r*x**2 + 2 - 2*x = 0.
2
Let i(b) be the third derivative of b**6/120 + b**5/40 - b**4/4 + b**3/3 - 6*b**2. Let o(g) be the first derivative of i(g). Find x such that o(x) = 0.
-2, 1
Let b(r) be the first derivative of 3 - 1/3*r**2 + 0*r - 2/9*r**3. Factor b(o).
-2*o*(o + 1)/3
Factor 1/3*y + 2/3*y**2 + 0 + 1/3*y**3.
y*(y + 1)**2/3
Let u = 0 - -3. Determine r, given that -9*r + 4*r**2 + 2 + 7 - u*r + 0 = 0.
3/2
Suppose 5*i - 1 = 3*c, -5*i + 3 = 2*c - 13. Solve 2 - 4*o**2 + 4*o**c - o**3 + o**2 - o + o**4 - 2*o**3 = 0 for o.
-2, -1, 1
Find t, given that 3/2*t**3 + 0 + 0*t + 0*t**2 + 3/2*t**4 = 0.
-1, 0
Let j(l) be the third derivative of l**6/720 + l**5/120 + l**4/72 - 8*l**2. What is r in j(r) = 0?
-2, -1, 0
Let w(h) = 3*h**2 + 6*h. Let q(b) = 3*b**2 + 7*b. Let y(p) = -3*q(p) + 4*w(p). Factor y(m).
3*m*(m + 1)
Factor 16/15*o - 6/5 + 2/15*o**2.
2*(o - 1)*(o + 9)/15
Factor 2*q**2 + 2*q**3 + 0*q**2 - 2*q**2 + 2*q**2.
2*q**2*(q + 1)
Let q(s) be the first derivative of 0*s - 2/3*s**3 + 4 - 5/14*s**4 - 2/35*s**5 - 3/7*s**2. Factor q(j).
-2*j*(j + 1)**2*(j + 3)/7
Let q(z) be the first derivative of -z**4/8 + z**3/3 - 1. Factor q(n).
-n**2*(n - 2)/2
Suppose -2*r = 2*a + 40, 0*r - a = -4*r - 85. Let g be -3 + 5/((-30)/r). Factor 0*o**2 + 0*o**4 + g*o**5 + 0 - 1/2*o**3 + 0*o.
o**3*(o - 1)*(o + 1)/2
Let n be (-1)/3*((-99)/(-12) - 9). Factor -3*f - n*f**3 + 2 + 3/2*f**2.
-(f - 2)**3/4
Let i(g) be the first derivative of -5 - 1/3*g**3 - g + g**2. Factor i(h).
-(h - 1)**2
Let j(q) be the first derivative of -q**5/20 - q**4/8 + 3*q**2/2 - 2. Let d(n) be the second derivative of j(n). Factor d(c).
-3*c*(c + 1)
Let v = -154/13 - -1720/143. Let v + 4/11*d + 2/11*d**2 = 0. Calculate d.
-1
Suppose 0 = 3*i - 2 - 4. Let q(w) be the second derivative of -w**i + 0 + 1/6*w**4 - 2*w - 1/10*w**5 + 1/3*w**3. Solve q(t) = 0.
-1, 1
Let l(h) be the third derivative of h**9/6048 - h**7/840 + h**5/240 - 5*h**3/6 - 3*h**2. Let j(n) be the first derivative of l(n). Solve j(d) = 0 for d.
-1, 0, 1
Suppose g**4 + 2/3*g + 0 - 2/3*g**3 - g**2 = 0. What is g?
-1, 0, 2/3, 1
Let u be (-1)/5 - 427/(-35). Let l be 9/u - (-3)/12. Solve -1/2*h + l - 1/2*h**2 = 0 for h.
-2, 1
Let r(a) be the second derivative of -a**8/2240 + a**7/1120 + 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
*m**2 + 3*m - 3. Let y be a(5). Let w = -9 - y. Let t be 1/(-4) - (-3)/(-4). Put w, t, -2 in descending order.
w, t, -2
Let w = -13/3 + 40/9. Put -1/9, 4, -2, w in increasing order.
-2, -1/9, w, 4
Let m be (-3)/((30/(-28))/5). Suppose -4*t + m = 2. Sort 4, -4, t in descending order.
4, t, -4
Suppose 3*o = 5*o + 6, -2*o = -u + 2. Put -5, u, 3, 2 in ascending order.
-5, u, 2, 3
Let r = -2 - -3. Sort -3, -5, r in increasing order.
-5, -3, r
Let q = -1 + 3. Suppose -2*d = -q*h - 0*d, 0 = -4*h - 2*d - 12. Put 1, h, -4 in descending order.
1, h, -4
Let m = 13.15 - -0.85. Put -4, m, -3 in decreasing order.
m, -3, -4
Let z(c) = -c + 3. Let u be z(4). Let a(s) = s + 10. Let w be a(-15). Sort w, u, -2.
w, -2, u
Let b = -3.6 - -0.6. Let c = -1 - -7. Let k = c - 5.6. Sort b, k, 4 in decreasing order.
4, k, b
Let h = 9 + -4. Let s(r) = -r**2 + 4*r + 2. Let p be s(h). Put p, 0.04, 2/7 in descending order.
2/7, 0.04, p
Suppose -6 - 2 = 4*w. Let l be (-15)/(-27)*(-6)/4. Let q = 4/3 + l. Sort w, q, 4/7 in descending order.
4/7, q, w
Let s = -53/4 + 161/12. Let p be ((-21)/54)/(1/4). Let h = p - -17/9. Sort 0.1, s, h in ascending order.
0.1, s, h
Let z be 24/(-10) + 2/5. Let n be (-1)/((-3)/z - 1). Let a = -350 + 347. Sort 2, n, a in descending order.
2, n, a
Let q(f) = -f**3 + 21*f**2 + 1 - 1 - 24*f**2. Let d be q(-3). Put d, -5, -1 in increasing order.
-5, -1, d
Let x(d) = 2*d**2 + 2*d + 2. Let y be x(0). Let u = 5.3 - 5. Let a = -0.2 - u. Put y, a, 0.5 in decreasing order.
y, 0.5, a
Suppose 2*c = 4*i + 3 + 7, 27 = -3*i - 5*c. Put -3, -1, i in descending order.
-1, -3, i
Let x = 0.15 + -4.15. Let g = -0.67 - -0.17. Let s(f) = -f + 6. Let t be s(5). Put g, x, t in increasing order.
x, g, t
Suppose -7*b - 144 = -18. Sort b, -4, 0, 2 in descending order.
2, 0, -4, b
Suppose -3*l = -l - 6. Let b = 7 - 10. Sort b, -4, l in descending order.
l, b, -4
Let v = 0.17 + -5.17. Put v, -5/3, -1 in increasing order.
v, -5/3, -1
Suppose 5*p = 4*j - 1, -4*j + 3*p = j - 11. Let s be 2 - 4 - (4 - 1). Sort s, j, 1 in descending order.
j, 1, s
Let m = 179 - 118. Let j = m - 669/11. Sort -5, j, -0.1 in decreasing order.
j, -0.1, -5
Let t = 0.03 + -0.13. Let u = 0.1 - 0.1. Sort t, 0.3, u.
t, u, 0.3
Let t = -37635/4 + 9465. Let l = t - 56. Sort l, 4, -1 in ascending order.
-1, l, 4
Let i(m) = 2*m + 1. Let j be i(-2). Let a be (1/2)/(j - 1). Put -0.3, a, -2/9 in decreasing order.
a, -2/9, -0.3
Let v(f) = -f**3 - 5*f**2. Let h = 11 + -16. Let r be v(h). Let s = r + -3. Sort s, 5, 1.
s, 1, 5
Suppose -4*a + a - 21 = 0. Let m(w) = w**2 + 8*w + 2. Let d be m(a). Put 2, 1, d in descending order.
2, 1, d
Let g = -12 - -8. Sort 0.1, 4, g in decreasing order.
4, 0.1, g
Suppose 15 = -22*z + 19*z. Let o be (3/6)/(1/6). Sort o, 2, z.
z, 2, o
Let d be ((-200)/(-14))/(-5) + 2. Let r = -15.3 + 15. Sort 2/7, d, r in decreasing order.
2/7, r, d
Suppose -3*d - 31 - 14 = 0. Let j be 0 + (-3)/((-9)/d). Let q be ((-6)/5)/(6/(-20)). Sort j, 2, q in ascending order.
j, 2, q
Let i = 83 + -418/5. Let y = 0.2 - 0. Sort y, 0.4, i in descending order.
0.4, y, i
Let s = -21 + 22. Put s, -2/5, 0 in descending order.
s, 0, -2/5
Let h(n) = -n**2 + 15*n - 3. Let x be h(15). Put x, -1, 6 in descending order.
6, -1, x
Let j be 6/(-9)*-1*6. Suppose -4 = 2*l - 4*l. Sort j, l, -4 in increasing order.
-4, l, j
Suppose -3 = -0*s - s. Suppose f - n + 6*n - 8 = 0, 0 = -s*f - 3*n + 12. Suppose 5*w = 10, 0*w = -5*d + f*w - 26. Sort d, 5, -5 in ascending order.
-5, d, 5
Let j = -69 + 484/7. Let m = 4 - 7. Put j, m, 0 in ascending order.
m, 0, j
Let v = -32 + 31. Sort -5, 5, v in ascending order.
-5, v, 5
Let m = 21/50 - -2/25. Sort 2/3, m, -2.
-2, m, 2/3
Suppose o - 5 = -4. Let w(c) = -c**3 + 9*c**2 - 8*c + 5. Let m be w(8). Sort m, 3, o.
o, 3, m
Let m = -11 + 6. Let j = m - -3. Put -1, 3, j in decreasing order.
3, -1, j
Suppose 3*b = p - 2, 2*p = -0*p - 2*b - 4. Let f be p*(22/14 - 1). Let l be 4/(-10) - 19/15. Sort l, -1, f in ascending order.
l, -1, f
Let v(c) = -c**2. Suppose -3*n + 0*n - 7 = 4*l, -5*l + n = -15. Let b be v(l). Put 1, -5, b in decreasing order.
1, b, -5
Let m be (-6)/3 - (0 - 3). Let a be m*(-7 + 1) + 1. Sort 4, 0, a.
a, 0, 4
Let m = -3.7 + 0.7. Let v = m - -2.2. Let s = 0.6 + v. Put s, 0, -3/2 in descending order.
0, s, -3/2
Suppose -2*i = 1 - 15. Put i, 1, 5 in descending order.
i, 5, 1
Let u = -3628577689/27644237580 - -9/7647092. Let a = -1/482 + u. Let r = 25/2 + -73/6. Put -1, r, a in increasing order.
-1, a, r
Let w = 0.05 + 0.25. Let g = w - 0.2. Let x be (-4)/10 + (-27)/(-5). Sort x, g, -3 in descending order.
x, g, -3
Let t = -8 - -5. Let n = 6/109 - 2125/981. Let u = 16/9 + n. Put t, -4, u in ascending order.
-4, t, u
Let v = 5 + 1. Let b = -6.2 + v. Sort b, -1, 5.
-1, b, 5
Let p = -12 - -14. Let f be 2 - (7/1)/1. Put p, f, -3 in decreasing order.
p, -3, f
Suppose -c = 2*c. Let p = c + 3. Suppose 5*z = p*k + 8, 4*k = -3*z + k. Put z, -1, -3 in decreasing order.
z, -1, -3
Let d = 8 + -3. Suppose 7 + d = -3*m. Sort m, -1, 0 in ascending order.
m, -1, 0
Suppose -l = 2*l - 15. Sort -1, 2, l, 3 in ascending order.
-1, 2, 3, l
Let w = -324/11 - -5442/187. Sort -1, 3, w in decreasing order.
3, w, -1
Let g = -53 - -49. Sort 3, g, 5, -3 in increasing order.
g, -3, 3, 5
Let r = -0.418 + -1.582. Let s = 8 + -3. Sort r, s, -4/7 in decreasing order.
s, -4/7, r
Suppose -j + 10 = 4*r + 2, -r - j = -2. Suppose -2*n + r = -0*n. Suppose 5 = q, 0 = -5*x - 6*q + 4*q + 30. Put x, n, 0 in ascending order.
0, n, x
Let q be (-4)/14 + 12/(-7). Let g(l) = -l**2 + 2*l + 5. Let z be g(4). Let m be (z/(-4))/(4/16). Put -4, m, q in decreasing order.
m, q, -4
Let j = 10 + -14. Sort 2, j, -1 in descending order.
2, -1, j
Let g = 65.749 - 61.36. Let u = g - -0.011. Let c = -4 + u. Sort c, 4/7, 2.
c, 4/7, 2
Let z = -0.37 - -0.07. Sort -3, z, 2/13 in increasing order.
-3, z, 2/13
Let l = 11.81 - -0.19. Let b = -12.2 + l. Suppose 0 = 6*o - 3*o - 9. Put b, o, 1/5 in decreasing order.
o, 1/5, b
Let q = -1.3 + -3.7. Let a = q + 5. Let k = -9 - -10. Sort -2/3, k, a in decreasing order.
k, a, -2/3
Let l = -5.4 - -2.2. Let g = l - -3. Let z = -5.2 - g. Put 1, -2/15, z in ascending order.
z, -2/15, 1
Let x(n) = -5 - 8*n + 4 + n**2 + 6 + 4. Let d be x(6). Let o be d/12 + 34/40. Put 0.5, o, -2/5 in increasing order.
-2/5, 0.5, o
Let h = -0.06 - 3.94. Let c = -4.1 - h. Let p be ((-2)/(-3))/(5/(-6)). Sort c, p, -1 in decreasing order.
c, p, -1
Suppose -3*g + 5*g + 8 = 0. Sort -2, g, 2 in ascending order.
g, -2, 2
Let x = 0.2 + -0.2. Let o = x + -7. Let a = o + 6.7. Put -3, 1, a in decreasing order.
1, a, -3
Suppose -5*y = 2 + 3. Let w be ((-2)/4)/((-8)/(-80)). Put 3, w, y in descending order.
3, y, w
Let h = -0.1 - -0.4. Put 2/7, h, -1/7 in decreasing order.
h, 2/7, -1/7
Let o(x) = x**3 + 5*x**2 - 5*x + 7. Suppose 2*i - 7 - 25 = 4*j, j = -2*i + 2. Let z be o(j). Put -1, z, -5 in decreasing order.
z, -1, -5
Suppose 2*t = -14 + 24. Sort t, -2, 4, 3 in ascending order.
-2, 3, 4, t
Let n = -1.6 - -8.6. Let p = n + -7.3. Let g be 2/(-16)*-2*6. Sort p, -5, g in decreasing order.
g, p, -5
Suppose y - 3*y = q - 5, -2*y + 2*q = 4. Put 2, -4, y in increasing order.
-4, y, 2
Suppose -4*l = 4*c - 12, 3*l - 8 = l. Put -4, c, -2 in decreasing order.
c, -2, -4
Let a = -19 + 11. Let m = a + 13. Sort m, 4, -4 in descending order.
m, 4, -4
Let z(k) be the second derivative of -k**3/3 - k**2 - 6*k. Let c be z(-3). Put c, 2, -3 in descending order.
c, 2, -3
Let a = 13.9 + -14. Let d = -9.4 + 9. Put a, 0.5, d in ascending order.
d, a, 0.5
Let j be (3/3)/(-1) - 38. Let d = j - -119/3. Sort d, 1/5, 0 in descending order.
d, 1/5, 0
Suppose 1805*i - 1801*i = -28. Let c = -10 + 7. Put c, 4, i in decreasing order.
4, c, i
Let d = -12 - -7. Sort d, -4, 0 in increasing order.
d, -4, 0
Let g(a) = a + 5. Let h be g(-4). Let u be (2/2)/h*5. Suppose -2 = 2*r - 2. Put -4, u, r in descending order.
u, r, -4
Suppose -5*a = 5*t + 35, -5*a = t + 2*t + 25. Put a, -4, 2 in descending order.
2, a, -4
Let o = 11/5 + -153/65. Suppose 4*b + 188 - 72 = 0. Let j = -33 - b. Sort -2/19, j, o.
j, o, -2/19
Let j = 20 - 14. Let p be (-18)/(-8) + j/8. Put p, -2/7, -3/7 in decreasing order.
p, -2/7, -3/7
Let f be 8/96*4/(-3). Let b = -0.08 + 0.38. Let a = -2.7 - b. Sort -2, a, f in descen
|
{
"pile_set_name": "DM Mathematics"
}
|
00 and 82680.
1560
What is the highest common divisor of 60504972 and 184008?
2244
Calculate the greatest common divisor of 137843 and 12670197.
307
Calculate the greatest common factor of 183063 and 185287.
139
Calculate the highest common factor of 115964 and 226628.
212
Calculate the highest common divisor of 990166 and 230679.
1349
What is the highest common factor of 134844 and 29478?
102
What is the highest common divisor of 34634204 and 220?
44
Calculate the highest common factor of 10192608 and 1440.
288
What is the greatest common factor of 39545376 and 18720?
1248
Calculate the greatest common factor of 108 and 368733132.
36
Calculate the greatest common factor of 833172 and 2982.
6
What is the greatest common factor of 296519725 and 200?
25
Calculate the greatest common factor of 218592816 and 1781.
1781
What is the highest common divisor of 21176 and 455612228?
10588
What is the greatest common factor of 3425 and 59968325?
3425
What is the greatest common divisor of 664644 and 43262?
194
What is the greatest common factor of 178175 and 44657782?
7127
Calculate the greatest common factor of 46464847 and 24661.
3523
What is the highest common divisor of 49487574 and 492?
246
Calculate the greatest common divisor of 1518 and 11093148.
66
Calculate the greatest common factor of 4848870 and 24180.
390
What is the highest common factor of 3487 and 332222?
11
What is the greatest common divisor of 140 and 41577060?
140
Calculate the greatest common divisor of 318436138 and 4678.
4678
What is the greatest common factor of 1224440 and 8920?
40
Calculate the greatest common factor of 936083 and 28168.
503
Calculate the greatest common divisor of 819122240 and 554.
554
What is the greatest common divisor of 478327226 and 6654?
2218
Calculate the greatest common divisor of 853249806 and 36.
18
Calculate the highest common factor of 13794 and 4260894.
726
Calculate the highest common divisor of 966797 and 48763.
403
Calculate the greatest common factor of 3042 and 264706.
26
What is the greatest common factor of 1976 and 10158369?
247
What is the greatest common divisor of 161895 and 80754?
129
Calculate the greatest common factor of 98 and 1201676.
98
What is the highest common factor of 63 and 28221768?
9
What is the highest common factor of 112463 and 16432?
13
What is the highest common divisor of 21493319 and 1854?
103
What is the highest common divisor of 17523657 and 9?
9
Calculate the highest common factor of 8246891 and 38661.
263
Calculate the highest common factor of 18601 and 41833.
11
Calculate the highest common divisor of 68 and 682293946.
34
Calculate the highest common factor of 65 and 2409062240.
65
What is the highest common divisor of 22149 and 39842199?
963
What is the greatest common divisor of 2307930 and 13110?
570
Calculate the highest common divisor of 10244331 and 3013.
131
Calculate the greatest common divisor of 9714 and 815096883.
4857
Calculate the greatest common factor of 4860 and 7273470.
30
What is the highest common divisor of 16440832 and 2167?
197
What is the highest common factor of 1897338 and 3774?
6
What is the highest common factor of 687985647 and 174?
87
What is the highest common factor of 56806368 and 600?
24
Calculate the greatest common divisor of 5030383 and 152.
19
Calculate the greatest common divisor of 58149 and 96558.
21
What is the greatest common divisor of 9 and 5607021?
3
What is the highest common factor of 20 and 112214270?
10
Calculate the greatest common factor of 60 and 1173139960.
20
What is the greatest common divisor of 2212 and 3305044?
316
Calculate the highest common divisor of 105586 and 2953002.
3406
Calculate the greatest common factor of 10064264 and 14.
14
Calculate the highest common factor of 219159 and 125361.
27
What is the highest common factor of 5769290 and 112030?
170
What is the highest common divisor of 6917196 and 1156056?
3828
What is the highest common factor of 14053 and 2637687?
611
What is the highest common factor of 82662 and 24?
6
Calculate the greatest common factor of 28004512 and 192.
32
Calculate the highest common factor of 214270 and 553.
7
What is the greatest common factor of 84 and 4979867424?
84
Calculate the greatest common factor of 5325947 and 40473.
1499
Calculate the greatest common factor of 32 and 45852248.
8
What is the greatest common divisor of 16 and 334820404?
4
Calculate the highest common factor of 23611104 and 6380.
1276
What is the highest common factor of 13286 and 502948173?
6643
What is the highest common divisor of 16656 and 30000?
48
What is the greatest common divisor of 104911864 and 40?
8
Calculate the greatest common divisor of 85381270 and 17056.
1066
Calculate the greatest common factor of 12636 and 10308168.
1404
What is the greatest common divisor of 3923241 and 56?
7
Calculate the greatest common factor of 39770649 and 18.
9
What is the highest common divisor of 407187 and 5157?
27
What is the highest common factor of 20703314 and 126028?
1286
Calculate the greatest common divisor of 59386 and 57799.
23
What is the highest common factor of 760 and 22410956?
76
Calculate the greatest common divisor of 4 and 56110906.
2
Calculate the highest common divisor of 1748 and 557916.
76
What is the highest common divisor of 11123132 and 30324?
1444
What is the highest common factor of 32101425 and 585?
45
Calculate the greatest common divisor of 14616 and 488264.
56
Calculate the greatest common divisor of 34476 and 4934384.
52
What is the highest common factor of 2516901 and 11271?
867
What is the highest common factor of 85827 and 1217743?
61
Calculate the highest common factor of 5 and 530427895.
5
Calculate the highest common divisor of 2065064 and 41407.
881
Calculate the highest common divisor of 3103 and 30189.
29
What is the greatest common factor of 49284 and 204?
12
Calculate the highest common factor of 744 and 10381497.
93
Calculate the greatest common factor of 2636 and 1290913123.
659
Calculate the highest common divisor of 24941085 and 390.
195
What is the highest common divisor of 38638416 and 4896?
816
Calculate the greatest common divisor of 368629 and 66501.
821
What is the highest common divisor of 56784748 and 508?
508
Calculate the greatest common factor of 370241 and 163.
1
What is the highest common factor of 403452 and 3204?
36
What is the highest common factor of 8204 and 175448?
28
What is the greatest common factor of 186780 and 53966?
22
Calculate the highest common divisor of 959144064 and 384.
384
Calculate the highest common factor of 19452576 and 198.
66
What is the highest common divisor of 143568791 and 2363?
2363
Calculate the highest common divisor of 23887765 and 264.
11
Calculate the greatest common divisor of 27 and 1416834.
9
What is the highest common divisor of 2729248 and 380596?
1972
What is the greatest common factor of 1676 and 25972972?
1676
Calculate the greatest common factor of 48 and 927876.
12
What is the highest common factor of 13146 and 64806?
42
What is the highest common divisor of 5884191 and 13095?
27
What is the highest common factor of 2268 and 503244?
252
Calculate the highest common divisor of 7330959 and 189.
27
What is the highest common divisor of 1535999 and 15136884?
8581
Calculate the greatest common factor of 40084545 and 15.
15
Calculate the greatest common divisor of 1175580 and 434700.
3780
Calculate the greatest common factor of 6384 and 387201.
57
Calculate the greatest common divisor of 57302 and 4501.
7
What is the highest common divisor of 1144690682 and 74?
74
What is the highest common factor of 3280 and 2250837680?
3280
Calculate the greatest common divisor of 20291688 and 121878.
1998
What is the highest common divisor of 484226 and 119382?
394
What is the greatest common factor of 551150 and 95130?
1510
What is the highest common factor of 8603942 and 4?
2
Calculate the highest common factor of 241332 and 76160.
476
What is the highest common factor of 370 and 6325142230?
370
What is the greatest common divisor of 19120 and 12943045?
1195
What is the greatest common factor of 690 and 11912620?
230
Calculate the greatest common factor of 25907535 and 45.
45
Calculate the highest common factor of 35221960 and 1360.
680
What is the highes
|
{
"pile_set_name": "DM Mathematics"
}
|
4, -140885915?
-3913499*p**2 + 8*p + 1
What is the v'th term of 114589, 458399, 1031431, 1833691, 2865185?
v**3 + 114605*v**2 - 12*v - 5
What is the q'th term of -4834, -8321, -11804, -15289, -18782, -22289?
-q**3 + 8*q**2 - 3504*q - 1337
What is the c'th term of -302, -7975, -20754, -38633, -61606, -89667?
c**3 - 2559*c**2 - 3*c + 2259
What is the h'th term of 53720, 54031, 54342?
311*h + 53409
What is the t'th term of -432, -1504, -2646, -3858, -5140, -6492?
-35*t**2 - 967*t + 570
What is the m'th term of 4175, 8334, 12507, 16700, 20919, 25170?
m**3 + m**2 + 4149*m + 24
What is the s'th term of 5986546, 5986554, 5986562, 5986570?
8*s + 5986538
What is the n'th term of -99752, -190092, -280432, -370772, -461112, -551452?
-90340*n - 9412
What is the f'th term of 1784637, 1784734, 1784831, 1784928, 1785025, 1785122?
97*f + 1784540
What is the m'th term of -2661, -5640, -9241, -13776, -19557, -26896, -36105, -47496?
-52*m**3 + m**2 - 2618*m + 8
What is the d'th term of -2034, -2325, -2616, -2907, -3198, -3489?
-291*d - 1743
What is the q'th term of -274, -1761, -5756, -13501, -26238?
-207*q**3 - 12*q**2 - 2*q - 53
What is the k'th term of 18358042, 36716082, 55074122, 73432162, 91790202, 110148242?
18358040*k + 2
What is the d'th term of 2525, 5473, 9321, 14069?
450*d**2 + 1598*d + 477
What is the i'th term of -1402445, -2804879, -4207313?
-1402434*i - 11
What is the h'th term of 131, 560, 1277, 2276, 3551, 5096?
-h**3 + 150*h**2 - 14*h - 4
What is the r'th term of 20003, 79966, 179867, 319676, 499363, 718898, 978251, 1277392?
-5*r**3 + 19999*r**2 + r + 8
What is the i'th term of 826944, 1653505, 2480066, 3306627?
826561*i + 383
What is the u'th term of 22369, 89481, 201335, 357931, 559269?
22371*u**2 - u - 1
What is the k'th term of -439848, -879679, -1319484, -1759257, -2198992, -2638683?
k**3 + 7*k**2 - 439859*k + 3
What is the s'th term of 2104, 1977, 1632, 961, -144, -1791, -4088, -7143?
-18*s**3 - s**2 + 2*s + 2121
What is the t'th term of 944, 2544, 4802, 7718, 11292, 15524?
329*t**2 + 613*t + 2
What is the f'th term of 93247229, 93247224, 93247219, 93247214, 93247209?
-5*f + 93247234
What is the h'th term of 959481, 1918939, 2878397, 3837855, 4797313?
959458*h + 23
What is the v'th term of 683239, 683218, 683213, 683230, 683275, 683354?
v**3 + 2*v**2 - 34*v + 683270
What is the v'th term of -28387468, -56774937, -85162406, -113549875, -141937344, -170324813?
-28387469*v + 1
What is the r'th term of 2324, 4734, 7312, 10142, 13308, 16894, 20984?
14*r**3 + 2312*r - 2
What is the p'th term of 169717, 169777, 169837, 169897, 169957, 170017?
60*p + 169657
What is the l'th term of -889, -3299, -5713, -8131, -10553, -12979?
-2*l**2 - 2404*l + 1517
What is the x'th term of -428251, -428255, -428269, -428299, -428351, -428431, -428545?
-x**3 + x**2 - 428251
What is the z'th term of 535667, 1071351, 1607035, 2142719, 2678403, 3214087?
535684*z - 17
What is the u'th term of 8328498, 8328501, 8328504?
3*u + 8328495
What is the r'th term of -91426, -182565, -273142, -362875, -451482, -538681, -624190, -707727?
47*r**3 - r**2 - 91465*r - 7
What is the h'th term of 119166, 952360, 3213880, 7617888, 14878546, 25710016?
119027*h**3 + h**2 + 2*h + 136
What is the h'th term of 60847, 120025, 179205, 238387?
h**2 + 59175*h + 1671
What is the a'th term of 8973, 8667, 8167, 7473, 6585?
-97*a**2 - 15*a + 9085
What is the c'th term of 536028, 536038, 536042, 536040, 536032?
-3*c**2 + 19*c + 536012
What is the j'th term of 97638, 97348, 97058, 96768?
-290*j + 97928
What is the j'th term of -30478, -31150, -31822, -32494, -33166?
-672*j - 29806
What is the z'th term of 2963001, 2963000, 2962999, 2962998?
-z + 2963002
What is the r'th term of 7627, 5944, 3139, -788, -5837, -12008?
-561*r**2 + 8188
What is the l'th term of 5390917, 10781829, 16172741, 21563653?
5390912*l + 5
What is the n'th term of 1010805, 2021612, 3032419, 4043226, 5054033?
1010807*n - 2
What is the c'th term of 43904, 87795, 131666, 175517, 219348, 263159, 306950?
-10*c**2 + 43921*c - 7
What is the w'th term of 1774862, 1774863, 1774864?
w + 1774861
What is the h'th term of -228766, -229083, -229400, -229717, -230034, -230351?
-317*h - 228449
What is the w'th term of 7452017, 29808056, 67068123, 119232224, 186300365, 268272552, 365148791?
w**3 + 7452008*w**2 + 8*w
What is the x'th term of -31672, -63362, -95044, -126712, -158360?
x**3 - 2*x**2 - 31691*x + 20
What is the k'th term of -116802858, -233605711, -350408564, -467211417, -584014270, -700817123?
-116802853*k - 5
What is the y'th term of 48616057, 97232137, 145848217, 194464297, 243080377, 291696457?
48616080*y - 23
What is the u'th term of -858901, -858951, -859001, -859051, -859101, -859151?
-50*u - 858851
What is the t'th term of -20080404, -20080409, -20080418, -20080431?
-2*t**2 + t - 20080403
What is the z'th term of -24078, -192674, -650300, -1541472, -3010706?
-24086*z**3 + z**2 + 3*z + 4
What is the z'th term of 7847542, 7847551, 7847566, 7847587, 7847614, 7847647, 7847686?
3*z**2 + 7847539
What is the r'th term of 1550, 5965, 12818, 21695, 32182, 43865, 56330?
-69*r**3 + 1633*r**2 - r - 13
What is the n'th term of 305, 1220, 2719, 4802, 7469, 10720, 14555?
292*n**2 + 39*n - 26
What is the v'th term of -47484, -44924, -40666, -34716, -27080, -17764, -6774, 5884?
-v**3 + 855*v**2 + 2*v - 48340
What is the q'th term of -11927, -23987, -36121, -48329, -60611, -72967, -85397?
-37*q**2 - 11949*q + 59
What is the l'th term of -336071, -672082, -1008093, -1344104, -1680115?
-336011*l - 60
What is the g'th term of 11325150, 11325153, 11325156, 11325159?
3*g + 11325147
What is the v'th term of -26696, -106821, -240328, -427223, -667512?
-v**3 - 26685*v**2 - 63*v + 53
What is the t'th term of 92788, 185759, 278730, 371701, 464672, 557643?
92971*t - 183
What is the k'th term of 2955, 2610, 2009, 1152?
-128*k**2 + 39*k + 3044
What is the i'th term of 29, -208, -1109, -3070, -6487, -11756?
-66*i**3 + 64*i**2 + 33*i - 2
What is the k'th term of 53389, 106917, 160461, 214027, 267621, 321249?
k**3 + 2*k**2 + 53515*k - 129
What is the z'th term of 11398, 11106, 10814, 10522, 10230?
-292*z + 11690
What is the t'th term of 654239, 1308495, 1962777, 2617097, 3271467, 3925899?
2*t**3 + t**2 + 654239*t - 3
What is the c'th term of 531486, 1062909, 1594278, 2125599, 2656878, 3188121, 3719334, 4250523?
c**3 - 33*c**2 + 531515*c + 3
What is the x'th term of 1767141, 3534280, 5301417, 7068552, 8835685, 10602816, 12369945?
-x**2 + 1767142*x
What is the x'th term of 41980, 83992, 126004, 168016, 210028, 252040?
42012*x - 32
What is the j'th term of 1160928, 1160934, 1160944, 1160958?
2*j**2 + 1160926
What is the f'th term of 12557829, 50231304, 113020429, 200925204, 313945629?
12557825*f**2 + 4
What is the y'th term of -1093, -5548, -13029, -23536, -37069?
-1513*y**2 + 84*y + 336
What is the a'th term of -33124, -132828, -299000, -531640?
-33234*a**2 - 2*a + 112
What is the g'th term of -7510, -14958, -22324, -29584, -36714, -43690?
4*g**3 + 17*g**2 - 7527*g - 4
What is the h'th term of 731460, 5851715, 19749542, 46813725, 91433048?
731464*h**3 + 2*h**2 + h - 7
What is the d'th term of -1501124878, -1501124879, -1501124880, -1501124881?
-d - 1501124877
What is the g'th term of -27033, -54354, -81675, -108996, -136317, -163638?
-27321*g + 288
What is the n'th term of -60639992, -60639988, -60639984, -60639980, -60639976, -60639972?
4*n - 60639996
What is the f'th term of 820, 2163, 3504, 4843?
-f**2 + 1346*f - 525
What is the u'th term of 10850, 87062, 294036, 697154, 1361798, 2353350, 3737192, 5578706?
10897*u**3 - u**2 - 64*u + 18
What is the k'th term of -14815, -59242, -133299, -236986, -370303, -533250, -725827?
-14815*k**2 + 18*k - 18
What is the p'th term of -56638, -56633, -56626, -56617?
p**2 + 2*p - 56641
What is the z'th term of -4304, -9102, -14372, -20114?
-236*z**2 - 4090*z + 22
What is the o'th term of -3142033, -6284086, -9426137, -12568186, -15710233?
o**2 - 3142056*o + 22
What is the d'th term of 64, -640, -3462, -9752, -20860, -38136, -62930?
-225*d**3 + 291*d**2 - 2*d
What is the w'th term of 24632, 21245, 17858, 14471, 11084, 7697?
-3387*w + 28019
What is the y'th term of 267201, 266627, 265671, 264333?
-191*y**2 - y + 267393
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
3 and -16*(-30)/1920*116/(-267).
1869
Let o(u) = -4*u**2 - 52*u + 20. What is the lowest common multiple of o(-13) and 575?
2300
Suppose 0 = -2*l - 2*f - 1598, 0 = -4*l + 6*f - 2*f - 3220. Let i = -3333 + 26749/8. Find the common denominator of i and 3 - ((-6)/(-10) + l/(-80)).
8
Let h = -33079/44 - -752. Calculate the common denominator of h and -41/198.
396
What is the common denominator of ((3 + 9/(-6))/(-3))/(51/663) and (63/(-15))/((-8)/5)?
8
Suppose -5*z + 4*z + 4*z = 0. Suppose -y - d + 2 = z, -2*y + 22 - 8 = 4*d. What is the common denominator of -101/6 and -3 - (y - 52/60)?
30
What is the common denominator of ((-81)/108 - (-2 - 338/(-8)))/(-8) and (-4)/6 + 169/33?
88
Calculate the common denominator of -193/330 and ((-54)/(-162))/((-40)/148).
330
Let q be 7/9 - 12/(-54). What is the least common multiple of (-10)/((0 - q) + 0) and 2/((3 + -1)/10)?
10
Suppose 4*v + 6*s - 160 = 8*s, 0 = v + 4*s - 4. Calculate the least common multiple of v and 120.
360
Let l = 512 - 511. Find the common denominator of 17/12 and 20/(-24)*(4 + -3)*l.
12
Calculate the common denominator of ((-2064)/448)/((-3)/(-2)) and 91/170.
1190
Suppose 2*m - 11 = -4*f - 49, -2*f - 21 = -m. Let n(l) = 2*l**2 + 20*l - 7. Let i be n(f). What is the smallest common multiple of i/(21/(-6))*1 and 5?
10
Suppose 42 = 3*h + 3*w, -4*h + 25 = -3*w + 4. Suppose h*s - 548 = 28. Let m(n) = -n + 31. What is the lowest common multiple of m(17) and s?
448
Let v be ((-2)/(-3008))/(4 - 7). Let j = -17903/654240 + v. Let h = 1901/580 + j. Calculate the common denominator of h and 59/26.
52
Let n(l) = 1 + 2*l - 2 + 3*l + 9*l. What is the least common multiple of (-1 - (-5)/(-10))*((9 - 4) + -15) and n(2)?
135
Suppose 18*w - 3*z = 738, 117*z = -3*w + 119*z + 114. Calculate the least common multiple of 33 and w.
462
Suppose 0 = r - 3*h + 2, -9*r - 2*h = -5*r - 20. Suppose -6*g = -4*g + r*x - 66, -g - 4*x + 39 = 0. Calculate the smallest common multiple of g and 36.
108
Suppose -4 = -4*o, -4*o + 9 = 5*l - 55. Let u be (-3)/((-66)/935)*12/10. Suppose -u*t + 861 = 45. What is the least common multiple of l and t?
48
Suppose -8 = 4*s, g - 4*s - 22 + 80 = 0. Let p = 82 + g. What is the least common multiple of p and 26?
208
Let k(w) = -w**2 - 11*w - 25. Let c be k(-7). Suppose c*r = g + 121, -2*r - 114 = 3*g + 194. What is the common denominator of 5/12 and ((-18)/351)/((-4)/g)?
156
Let o be (0 + 2)/((-64)/(-128)). What is the common denominator of 3/(-6)*177/(-108) and (368/(-64))/((-15)/o)?
360
Let z = 50711/9060 - -5/1812. Find the common denominator of z and 47/3223.
16115
Let q(c) = -7*c + 86. Let o = 9 + -1. Let w(j) = 2*j**2 + 3*j + 2. What is the lowest common multiple of q(o) and w(-4)?
330
Let w(y) = -y**3 + 4*y**2 + 128*y + 145. What is the least common multiple of 36 and w(13)?
288
Let z be 5 - (-60)/(-72) - (-1)/(-6). Suppose 0 = 4*p + z*u - 12, -u - 7 = -2*p - 2*u. Calculate the least common multiple of p and 4.
4
Let f(k) = -278*k + 4394. Calculate the lowest common multiple of f(15) and 416.
2912
Let p be (-12666)/9315 + 2/5. Let q = 2/621 - p. Find the common denominator of 4/14*2464/2640 and q.
135
Let n = -197 + 5054. What is the least common multiple of n and 6?
9714
Let c(m) = -m**3 - 39*m**2 - 24*m + 164. Let d be c(-39). Suppose 2*l + 1084 = d. What is the lowest common multiple of 15 - (-1)/(-2)*2 and l?
56
Let h = 37 - 33. Suppose -h*q = -i - 0*q + 96, 0 = i + 3*q - 103. Calculate the smallest common multiple of i and 22.
1100
Let q = 2546 + 8075. Let l = 6841 - q. Find the common denominator of (l/(-16))/(-3)*2/130 and -79/10.
260
Find the common denominator of (12615/630 + -20)*(-606)/2 and 41/1644.
11508
Suppose -266379 - 358243 = -2*g. Let i = g + -65585147/210. Calculate the common denominator of -41/8 and i.
840
Let l(y) = -73*y + 2. Let i(p) = -74*p + 2. Let n(u) = -3*i(u) + 2*l(u). Calculate the lowest common multiple of n(1) and 3*5/(-10)*-4.
222
Let o = 807811/36 + -22443. What is the common denominator of o and 35/153?
612
Suppose -13 = -6*j + 41. Suppose -v - 4*k = 2, -4*v + j = -5*k - 46. What is the smallest common multiple of 8 and (-1 - v/(-15))*-6?
8
Let a = -7907 + 7910. Calculate the smallest common multiple of 1046 and a.
3138
Let i = 15573 + -8750. What is the least common multiple of 2 and i?
13646
Let b = 11 + -3. Let a(p) = -2*p + 20. Let j be a(b). Suppose -j*s - 40 = -6*s. What is the smallest common multiple of s and 6?
60
Suppose 0 = -5*h - 3*w - 39, -h - 19 = -0*h - 5*w. Find the common denominator of -79/16 and (h/(-3))/(36/246).
16
Let t = 300 - 112. Suppose -5*s - 4*k = -507 - t, 0 = -4*s - 3*k + 555. Let q = -125 + s. Calculate the smallest common multiple of 19 and q.
190
Find the common denominator of -46/15 and ((-1920)/1047040)/((-2)/(-68)).
12270
Let c = 242 - 25. Suppose -4*h - 3 = -3*h, -3*h = -4*l + c. Let d = 57 - l. What is the smallest common multiple of 3 and d?
15
Let i be (21 - 36)/(6/(-28)). Let p = -26 - -24. Find the common denominator of (-1 - p) + 4*i/75 and 29/3.
15
Let t be ((-14)/6)/((-6)/18). Let d be (-6738)/21 - (5/t)/5. Calculate the common denominator of d/(-78)*(-6 - -5) and 59/4.
52
Suppose j - 2*q = 12, 0 = 34*j - 31*j - 2*q - 20. Suppose -9 = -4*c + 3. Calculate the lowest common multiple of c and j.
12
Let n(h) = -61*h**3 - 3*h**2 + 10*h + 12. What is the lowest common multiple of 120 and n(-1)?
120
Calculate the common denominator of 11*4/528*388/32*-2 and 59/2568.
5136
Suppose n = w + 85, n - 4*w = 4 + 78. Let s be (-4)/16*(-4 + 2)*-148. Let k = s + n. Calculate the smallest common multiple of 3 and k.
12
Let z = 10625 - 254959/24. Find the common denominator of (-6)/20*45/(-24) and z.
48
Let r be ((-27)/(-6))/(6/(-8)). Let j be 3/(r*3/(-24)). Suppose j*f - m = 18, 7*m = -f + 3*m - 4. Calculate the least common multiple of 10 and f.
20
Let d = -3235 - -12847/4. Let v be ((-358197)/(-20))/(492/205). Let a = v + -7467. Calculate the common denominator of a and d.
16
Let k = -169626467/20 - -8471958. Let m = k - -9371. Calculate the common denominator of m and -103/44.
220
Suppose 10*x - 87 = -19*x. What is the least common multiple of 3 and x/4 - (-4)/(16/369)?
93
Suppose 2*u = 3*l - 4019, u - 3*u - 4025 = -l. Let b = -32179/16 - u. Let j = 5069/10 + -506. Calculate the common denominator of b and j.
80
Calculate the common denominator of 3188/264 + -2 - 8 and (485/(-720))/(-1 - 4/(-6)).
528
Let h(q) = -q + 58. Let c be h(28). Suppose 0 = -16*a + c*a - 2142. Calculate the least common multiple of a and 15.
765
Let z = -145120447/1634 - -88813. Calculate the common denominator of z and 45/8.
6536
Let w = 238864 + -238816. Let z = 17 - 2. Calculate the least common multiple of z and w.
240
Suppose -y = -906 - 72. Let l = -2629894 - -42062643/16. Let j = y + l. Calculate the common denominator of 131/48 and j.
48
Let o = 157/2 - 93. Let r = 38204411/970 - 39386. Let d = r - 18156/3395. Calculate the common denominator of o and d.
14
Let f = 96174 + -16253452/169. What is the common denominator of 9/455 and f?
5915
Let m = 16155 - 112186/7. Let q be ((-41)/4)/((-5)/60). Let d = m - q. What is the common denominator of d and -34/5?
35
Suppose 4*o + 2 = 5*v, -2*o - 3*v = 8 - 18. What is the least common multiple of ((-27)/(-6)*-5)/(o/(-4)) and 60?
180
Let h = -6456 + 6474. What is the lowest common multiple of h and 702?
702
Let w = -374 - -763/2. Let v = 6891527/180 + -38287. What is the common denominator of v and w?
180
Let w be 1 - 1 - ((-4 - 0) + 0). Let b(v) = v**3 - 5*v**2 + 7*v - 10. Calculate the lowest common multiple of 34 and b(w).
34
Let d be ((-23)/6)/(9/(-27)). Let o = d - 85/8. Calculate the common denominator of 27/8 and o.
8
Let m(s) = s**2 + 13*s - 3. Let l be m(-29). Find the common denominator of 7/68 and (-20)/(-110) - l/(-308).
476
Let a(i) = -41*i + 520. What is the smallest common multiple of a(11) and 762?
17526
Let c be (-10)/(-1) - (10 + -3 + -2). Suppose -r - c*j + 4 = r, -4*j - 2 = -r. What is the smallest common multiple of r and 58?
58
Calculate the common denominator of ((-693)/(-168))/(3/28) and 79/405.
810
Let r be (-2)/(3 - 30/9) - 3. Suppose -r*a + 12*a = -63. What is the common denominator of -55/2 and (6 - a/(-1))*(-14)/27?
54
Let d = 3 - 1. Let p be -3*2 - (-28 + 15).
|
{
"pile_set_name": "DM Mathematics"
}
|
6*b wrt b.
534466008*b*x
Find the first derivative of -53545651*v**4 - 64550683 wrt v.
-214182604*v**3
What is the derivative of 224024264*a - 15926715 wrt a?
224024264
What is the third derivative of 1771*h**3*u**3 + 18717*h**3 + 85*h**2*u**3 - 107*h**2*u**2 + h*u**3 wrt u?
10626*h**3 + 510*h**2 + 6*h
What is the derivative of 1181011*l + 637961?
1181011
Find the second derivative of -851*f**5 + 2488*f**4*y**3 + 6596*f*y**3 + 2607 wrt f.
-17020*f**3 + 29856*f**2*y**3
Find the second derivative of -2123*i**3*k*q**2 - 11*i**3*k - 10*i**3*q - i**2*k*q + 3631*i*k*q**2 - 97299*i*k wrt q.
-4246*i**3*k + 7262*i*k
What is the first derivative of 112*k**4 - 5*k**2 + 34311*k + 96869050 wrt k?
448*k**3 - 10*k + 34311
Find the second derivative of 62*o**3 - 102141*o**2 + 150320*o + 25.
372*o - 204282
What is the third derivative of 26296806*l**5 - 666*l**2 + 11*l - 240 wrt l?
1577808360*l**2
Find the third derivative of -107516089*l**6 - 4*l**2 + 33862*l + 96 wrt l.
-12901930680*l**3
What is the third derivative of 31*n*t**4 + 6*n*t**3 + 8233*n*t**2 + 2*n*t + 42498*t**4 + 212*t**2 + 11*t + 1 wrt t?
744*n*t + 36*n + 1019952*t
Find the third derivative of -35231324*h**3*u**2 - 156*h**2*u**2 - h**2 - h*u**2 - 2*u - 2580 wrt h.
-211387944*u**2
Find the first derivative of 144523881*l**3*t + 1365599*l**3 - 23*l wrt t.
144523881*l**3
What is the second derivative of 56578*i**3 + 16*i**2 + 44661161*i?
339468*i + 32
Find the second derivative of 2*a*d**4 - 454*a*d**3 - 10*a*d**2 + 637765*a - 11*d wrt d.
24*a*d**2 - 2724*a*d - 20*a
Find the third derivative of -20395561*k**3 + 5*k**2 - 61*k - 743 wrt k.
-122373366
Differentiate -2072616*j*t**3 - 6*t**3 - 4307*t + 39 with respect to j.
-2072616*t**3
What is the second derivative of 56*i**2*n**2 + 3*i**2*n + 17167*i**2 + 7*i - 146*n**2 + 1764 wrt i?
112*n**2 + 6*n + 34334
Differentiate -4*l**3*x + 1397*l*x**3 - 930*l*x + 3*x**3 + 9337*x**2 - 3*x + 3 wrt l.
-12*l**2*x + 1397*x**3 - 930*x
Find the third derivative of 55859015*y**3 - 171284120*y**2 wrt y.
335154090
What is the derivative of 4555751*r**4 + 3255767?
18223004*r**3
What is the derivative of 31896*f**4 + 1712*f**3*l**2 - 157413694*l**2 wrt f?
127584*f**3 + 5136*f**2*l**2
Find the third derivative of 97988710*t**3 + 87864692*t**2.
587932260
What is the first derivative of -21*a*x - 68884021*a + 34056*x**2 wrt x?
-21*a + 68112*x
Find the first derivative of -28374840*g**3 - 54972352.
-85124520*g**2
What is the third derivative of -25684686*v**2*x**3 - 2*v**2*x**2 - 6*v**2 - 121*v + 368*x**2 wrt x?
-154108116*v**2
Find the first derivative of -14915*m**3 + 10*m**2 - 20*m + 9369643.
-44745*m**2 + 20*m - 20
Find the first derivative of 381810191*c**3*w - 700683525*w wrt c.
1145430573*c**2*w
What is the second derivative of 6*z**4 - 3*z**3 + 5359153*z**2 - 618884873*z wrt z?
72*z**2 - 18*z + 10718306
Find the second derivative of 197*i**5 + 1852*i**2 + 4*i - 54962 wrt i.
3940*i**3 + 3704
What is the third derivative of 254785*r*z**4 - 15*r*z**3 + r*z**2 - 2726670*z**2 + 1 wrt z?
6114840*r*z - 90*r
Differentiate -625*h*w**3 - 150*h*w + 1060749*h - 22*w**3 + 198 wrt w.
-1875*h*w**2 - 150*h - 66*w**2
Find the first derivative of 299680341*h**2*y + 5*h**2 - 25*h + 216968 wrt y.
299680341*h**2
Find the second derivative of 5169074*k**4 - 10806189*k.
62028888*k**2
What is the derivative of 36359914*q**2*u*y - 2167681*q**2*y - 3*q*y - q + 1 wrt u?
36359914*q**2*y
Find the first derivative of -27577109*w**2 - 2*w - 25612866 wrt w.
-55154218*w - 2
Find the first derivative of 75*x**3*z + x**3 - 12*x**2 + 14198*z + 15626 wrt z.
75*x**3 + 14198
Find the second derivative of -11043858*z**2 + 8437*z - 291.
-22087716
What is the second derivative of 806924*x**2 + 300*x + 2904 wrt x?
1613848
Differentiate 26997*b*c**2*t - 135*b*t - 3*c**2*t - 270924*c**2 - c*t - 3*c + t + 4 with respect to b.
26997*c**2*t - 135*t
Find the second derivative of 71782403*d**3 - 51701*d - 192 wrt d.
430694418*d
What is the first derivative of 303*q*t*x + 2*q*x - 5971*q + 282*t**3*x - 183*t*x - x + 12344 wrt t?
303*q*x + 846*t**2*x - 183*x
Find the first derivative of 24*t**3 + 14199*t**2 + 79*t - 144241322.
72*t**2 + 28398*t + 79
Find the third derivative of 762015316*d**6 + 977*d**2 - 171*d + 346.
91441837920*d**3
What is the second derivative of 157552658*p**3 - 69*p + 4083842?
945315948*p
Find the second derivative of 7439797*q*y**3 + 5*q*y**2 - 133564*q*y + q + 171*y wrt y.
44638782*q*y + 10*q
Find the second derivative of 3945902*a**2*d**2 + 2*a**2*d - 31*a**2 - 2*a*d**2 + 2*a*d - 2*a - 9*d**2 + 166*d - 1839 wrt d.
7891804*a**2 - 4*a - 18
Differentiate -3437*d**2*x + 22054362*d**2 + d*x - 223*x wrt x.
-3437*d**2 + d - 223
Find the second derivative of 45*m**4 + 5*m**3 - 448*m**2 + 710*m - 22008 wrt m.
540*m**2 + 30*m - 896
Find the second derivative of 48*k**3*l**2 + 1041*k**3*l*t - k**3*t - 2*k**3 - 47*k**2*l*t - 2*k**2*l - 4*k**2 - 18020*k*l**2*t wrt l.
96*k**3 - 36040*k*t
Differentiate 5385001*f**2*q**2*z + 4*f*q**2 + 40*q**2*z - 2486595*z with respect to f.
10770002*f*q**2*z + 4*q**2
What is the third derivative of -875744117*p**6 + 4778*p**2 + 2*p + 9127?
-105089294040*p**3
Differentiate -53468751*c + 119817755 with respect to c.
-53468751
What is the third derivative of -202062*r*x**3 + r + 357*x**3 + 143846757*x**2 wrt x?
-1212372*r + 2142
What is the second derivative of -79585351*w**2 + 104558954*w?
-159170702
Find the third derivative of -x**5 + 74177*x**4 - 52*x**3 + 93594020*x**2.
-60*x**2 + 1780248*x - 312
Find the second derivative of 2*n**3*z**2 - 1174062*n**3 + 2*n*z**2 - 67922*n*z + 3*n - 3*z**2 - 13*z wrt n.
12*n*z**2 - 7044372*n
What is the second derivative of 159014033*w**5 - 2*w - 128969354 wrt w?
3180280660*w**3
What is the third derivative of -12460864*j**3 + 1514*j**2 + j - 2448?
-74765184
Find the first derivative of 5450*c*n + 628371219*c + 1282*n wrt n.
5450*c + 1282
Find the third derivative of -3*h**6 + 1101251*h**3 - 2*h**2 - 2331*h - 272 wrt h.
-360*h**3 + 6607506
Find the first derivative of -8065585*h - 6579900.
-8065585
Find the second derivative of -12599*q**3 + 14683*q**2 + 12563*q + 1096.
-75594*q + 29366
Differentiate 300526*p*u**3 + p*u**2 - 347240*u**3 + 13*u - 2 wrt p.
300526*u**3 + u**2
What is the derivative of 14*g**4 + 2*g**3 + 2166*g + 86008412 wrt g?
56*g**3 + 6*g**2 + 2166
What is the second derivative of -29*h**2*j*m**2 - 8*h**2*j*m + 1387*h**2*j - 2*h*j*m**2 + 233*h*m**2 - 2*h - 29*j*m - 42*j wrt h?
-58*j*m**2 - 16*j*m + 2774*j
Find the first derivative of -11*a**2 - 38502*a + 2745929.
-22*a - 38502
Find the second derivative of 3*l**3 - 2142174*l**2 - 71*l - 114829.
18*l - 4284348
Find the second derivative of -2*b**5*d - 3657310*b**3*d + 10856*b*d - 179*b wrt b.
-40*b**3*d - 21943860*b*d
What is the third derivative of 41169*p**6 + 60*p**3*z - 11*p**2*z + 2*p**2 - p - 1092*z - 5 wrt p?
4940280*p**3 + 360*z
Differentiate -6*h**2*x + 7365917*h**2 - 336*x wrt x.
-6*h**2 - 336
What is the derivative of 2*g*m**2 - 18622617*g - 186*m**2 + 1017166 wrt g?
2*m**2 - 18622617
Find the first derivative of 19*f**3*l**3 + 69304*f**2*l**3 - 163*l**3 - 2*l**2 - 2*l + 98364 wrt f.
57*f**2*l**3 + 138608*f*l**3
What is the first derivative of -97248*r**3 - 3*r - 3398281?
-291744*r**2 - 3
Differentiate 187668818*q - 88231351.
187668818
Find the second derivative of -128053871*k**4 + 730442*k + 127.
-1536646452*k**2
Find the second derivative of 760339*k**3 - 21*k**2 - 11457*k + 3952.
4562034*k - 42
Find the first derivative of -6*v**2 - 118031*v + 324891769.
-12*v - 118031
Differentiate 4034*c**2*w**2 + 4*c*w + 54*c - 54454785*w**2 wrt c.
8068*c*w**2 + 4*w + 54
Find the second derivative of -452974*l**2*z**2 + 127063*l**2*z + 16*l*z**3 + 437*l*z wrt z.
-905948*l**2 + 96*l*z
What is the third derivative of 504*t**5 - 333694*t**4 - 394044959*t**2?
30240*t**2 - 8008656*t
What is the second derivative of -10748489*g**4 + g + 1413841?
-128981868*g**2
Find the third derivative of -14227*y**4 - 419*y**3 - 57679764*y**2.
-341448*y - 2514
What is the third derivative of -18742872*g**3 + g**2 - 2*g + 4279565 wrt g?
-112457232
Find the first derivative of 77640256*x + 57252230 wrt x.
77640256
Find the second derivative of -95339396*i*t**2 + 2*i*t - 2*i - 5291474*t +
|
{
"pile_set_name": "DM Mathematics"
}
|
o -2/3 in -2/11, r, b?
b
Let u be (-8)/(5 + -1) + (-40)/(-22). Which is the closest to 9? (a) u (b) -0.3 (c) 0.3
c
Let o be 0/(-2 - (-1 + 2 - 2)). Suppose -3*a = 10 - 1. What is the closest to o in -0.4, -0.1, a?
-0.1
Let f be -6*(-4)/10 + -2. Let y be -1 + 5 + (-2)/2. Let r = 0.12 - -0.28. What is the closest to f in r, y, 4?
r
Suppose 2*z - 50 = -4*k, k = 5*z - 2*z - 103. What is the closest to -1/4 in 5, z, -2?
-2
Let m be (26/(-65))/(4/5). Let z = -12 + 11.5. What is the closest to m in 3/4, z, 3/5?
z
Suppose 3*v - v = 4. Let p be (2448/15 + v)/(-2). Let g = p + 83. Which is the closest to g? (a) 3/5 (b) -2/5 (c) 5
a
Let l = -4 + 3. Which is the nearest to l? (a) -0.4 (b) 2/3 (c) -0.1
a
Let p be 688/(-30) - (-1)/3. Let o(k) = -23*k**3 + k + 1. Let t be o(-1). Let h = t + p. Which is the closest to -2/5? (a) h (b) 2/11 (c) -1/5
c
Let w be (-16)/(-56) + (-16)/(-42) + -1. Which is the nearest to w? (a) -2 (b) -1/3 (c) 0
b
Let d = 0.208 - -0.892. What is the nearest to -3/4 in d, 2, 1?
1
Let k = -117.9 - -118. Suppose -2*r + 1 = -5, -3*l = 4*r. Suppose 5*v - 17 = -u + 2*u, 4*v = 5*u + 1. Which is the closest to 2? (a) k (b) l (c) v
a
Let m = -0.5 - -1. Suppose 4 = s + 6. Let h = -28/9 + 34/9. What is the nearest to 1 in m, s, h?
h
Let q = 13 + -16. What is the nearest to 1 in -1/2, 4, q?
-1/2
Suppose 3*i + 2 = 14. Suppose -z = -i - 1. Let c be (8 - 7)/((-23)/(-2)). What is the nearest to -2 in -0.3, c, z?
-0.3
Let v = 0.42 + -0.02. Let k be (-9)/(-2)*8/(-6). Let m be 4/k + (-1)/(-3). Which is the closest to m? (a) 0.5 (b) v (c) -0.3
c
Let x = -10 + 10.4. Let r = -0.03 + 2.03. Let d = r - 0. Which is the nearest to -1? (a) d (b) x (c) 2/9
c
Let o be (0 - 16/18)/(120/(-180)). Let s = -2.6 + 0.6. What is the closest to 0.2 in s, o, 2/9?
2/9
Let u = 0.9 - -2.1. Suppose 5*o + 4*l - 160 = 0, -l = -5*o + 103 + 82. Let d be 1 - (o/(-14))/(-2). Which is the nearest to 2? (a) d (b) 0 (c) u
c
Let n = -1.7 - 0.3. Let w = n + 2.9. Let h = w - 0.8. Which is the nearest to h? (a) -0.1 (b) 0.1 (c) 0
b
Let u = 56 + -53. What is the closest to -2 in 0.1, 2/5, u?
0.1
Let i = -0.6 - 2.4. Let f = -16 + 15. What is the closest to 0.1 in -4/7, f, i?
-4/7
Let v = -10/9 + 23/18. What is the nearest to -0.1 in 2, v, -2/3?
v
Let j = 0.5 - 2.5. Let r = -1.01 - -0.11. Let t = r + 0.4. Which is the closest to j? (a) 5 (b) t (c) 0
b
Let n = 0.41 - 0.91. Let m = -0.04 + -0.26. What is the closest to -1 in n, m, -3/5?
-3/5
Let y = 3 - -1. Let w be y/(-3)*9/78. Let h = 1 - 1. Which is the closest to h? (a) -0.2 (b) w (c) -3
b
Let a be (-2)/10 - 31/(-5). Let o be 10/(-3) + 2/a. Let r = -0.3 - -0.2. What is the nearest to 0 in r, -3/7, o?
r
Let u = 4.94 - -0.06. Let f = 20/39 + 2/13. What is the closest to f in -2, u, 2/17?
2/17
Let w be 47/15 + (-4 - -1). Let l = -49/30 + w. Which is the closest to 2/9? (a) 4/7 (b) l (c) 0.2
c
Let j be (-83)/(-2) - 1/(-2). Suppose 0 = -5*q - 7*l + 3*l - j, q + 3 = l. Let i be (-4)/q + 4/(-8). Which is the closest to 0.1? (a) -1/5 (b) -0.1 (c) i
c
Let b = 0.9 - -0.1. Let d = 0.6 + -5.6. What is the nearest to 0.1 in b, d, -3?
b
Let o(k) = k**2 - 4*k. Let m be o(4). Suppose -4*w + w + 2*a = -12, -2*w + 5*a = -19. Let g be ((-32)/216)/(w/3). What is the nearest to 1 in m, 0.4, g?
0.4
Let l = -21 + 18. Suppose 5*t = -0*t + 20. Let s be 2 + t - (2 + 0). What is the closest to -1/4 in 1/4, s, l?
1/4
Let v = -8 - -8.2. Let x = -0.2 - -0.4. Let f = 0.1 - x. Which is the nearest to 1? (a) f (b) v (c) 5
b
Let y = -5.2 - -4.2. What is the closest to -1 in y, -4, -25?
y
Suppose -3*h + 4*i + 8 = 0, -4*i = -2*h + 8 - 0. What is the closest to -2 in h, -0.2, -1?
-1
Let f(z) = -12 + 0 + 6 - 5*z + z**2. Let r be f(6). What is the nearest to r in -3, 0, 1?
0
Let u = -0.3 + 0.3. Let b = 5.153 + -0.153. What is the nearest to u in b, 0.3, -0.4?
0.3
Suppose -5 - 11 = 4*p - 4*m, -p + 3*m = 6. Let n be (4/p*3)/7. Let z = 0.2 - 1.2. Which is the nearest to z? (a) 2 (b) 2/5 (c) n
c
Let w = -4.6 + 4.5. Which is the closest to w? (a) 4 (b) -2 (c) 3
b
Let h be (-14441)/(-13440) + 4/(-6). Let m = h - 1/128. Suppose 2*l + 2*o - 5 = 3*o, -14 = -3*l - 5*o. What is the closest to 1 in 4, l, m?
m
Let q = 302 - 2714/9. Let i = -20 + 10. Let l = 11 + i. What is the nearest to l in q, 5, -0.2?
q
Let g = -2.1 + 4. Let s = g - 2. Let v = 58 - 58. Which is the closest to v? (a) -5 (b) s (c) 2
b
Suppose 6 = 2*j, 0*h + 5*h = -3*j + 14. Which is the closest to h? (a) 2/13 (b) -4 (c) -1/2
a
Let w = -14 + 16. Suppose w*m = 5*m. What is the nearest to m in 0, -0.5, -1/5?
0
Let g = 227 + -2047/9. What is the closest to -0.2 in g, 1, -0.2?
-0.2
Let x = 0.3 + -0.1. Let r = x + -0.3. Let o = -1.3 - -0.3. Which is the nearest to r? (a) o (b) -0.4 (c) 2
b
Let y = 0.8 - 0.4. Let p(l) = -l**2 + 3*l. Let h be p(3). Let g = 0 - 2/5. What is the nearest to g in -1/3, y, h?
-1/3
Let k = 7 - 2. Let s = 1 + -1. Let t = 11.5 - 12. What is the nearest to -0.1 in k, t, s?
s
Let l = -6 + 2. Let i = l + 4.1. Let a = -0.3 + i. What is the nearest to -1 in 5, -1, a?
-1
Let j = -119416 - -30809365/258. Let o = j + 1/43. What is the nearest to -2 in 2, 4, o?
o
Let q = 52 - 52.4. What is the nearest to 9 in -1/7, q, -0.5?
-1/7
Let h = -307 + 307. Suppose -1 = -2*p + 1. Which is the nearest to -2/5? (a) p (b) -2/13 (c) h
b
Let x = 1.1 + -0.1. Let u = -3.19 - 1.81. Which is the nearest to 0? (a) u (b) 0 (c) x
b
Let y = 6 - 5. Let v = 1 - y. Let n = 0.2 - -2.8. Which is the closest to v? (a) -4 (b) -5 (c) n
c
Let d = -0.026 - -0.326. Which is the nearest to -0.1? (a) -5 (b) d (c) 5
b
Let h = -2.06 + 2. Let n = h + -1.94. Let r(l) = -l**2 - 5*l + 4. Let u be r(-6). What is the nearest to u in 4, -0.2, n?
n
Let f = 0 + -0.8. Let r = f + 1. What is the closest to 1/2 in -0.5, r, -3?
r
Let r be (8/12*(-9)/6)/5. Which is the closest to -1? (a) r (b) 2/11 (c) -3
a
Let d(w) = w + 2. Let q be d(3). Let c be (-2)/(-3)*(-6)/(-8). Let x be ((-2)/(-3))/(1/6). What is the closest to c in x, q, 2/9?
2/9
Let x = 0.2 - 0.1. Let h = -53/94 - -3/47. Which is the closest to x? (a) -0.1 (b) h (c) 0.4
a
Let h = -9 - -5. Let m = h - -4.1. Let d = 2.2 - 0.2. What is the nearest to m in 0.2, -2/11, d?
0.2
Let h = 0 + 5. Let o = -9 + 5. What is the closest to 0.1 in o, 0.2, h?
0.2
Let h = -10 - -6. Let y = 0.02 + -5.02. Let z = -6 - y. Which is the nearest to 0.2? (a) h (b) -0.3 (c) z
b
Let t = 23 - 15. Let g = 8 - t. Which is the closest to g? (a) 4 (b) 1 (c) -2/15
c
Let d be (18/12)/((-3)/6). What is the closest to -2 in 5, 0, d?
d
Let m be (1 - -1)/((-143)/13). What is the nearest to -1 in -0.2, m, -1/3?
-1/3
Let g be (2/5)/(3/30). Let i = -7.9 - -8. What is the nearest to -3 in i, -5, g?
-5
Let y = -0.62 - -0.6. Let f = y - -0.02. Let j be (9/6 - 1)*-8. Which is the closest to -1? (a) 4/3 (b) j (c) f
c
Let b = -3.6 + -0.4. Let p = -1.9 - -2. What is the closest to p in -0.5, 3, b?
-0.5
Let w = -0.01 + -0.29. Let g = 73 + -217/3. Let y = -0.1 + -4.9. Which is the nearest to g? (a) -4 (b) y (c) w
c
Let l = 19 - 24. What is the nearest to 1 in 9, l, -4?
-4
Let h = 79/3 - 26. Let g = 0.3 - 0.2. Suppose -12 = -j + 5*j. Which is the closest to 0? (a) g (b) j (c) h
a
Let o = -0.2 - 0.8. Let h(c) = c**3 - 6*c**2 - 4*c - 16. Let i be h(7). What is the closest to 1 in o, 3/5, i?
3/5
Let r = 1.03 + 0.07. What is the nearest to 2/7 in -1/3, -0.1, r?
-0.1
Let i = 25 + -99/4. Suppose -c = c - 66. Let n = -100/3 + c. What is the closest to -2/3 in i, n, 0?
n
Let d = 8 + -6. What is the closest to 1 in 0.1, -0.5, d?
0.1
Let z = -2 - -1. Let b be ((10 - 3) + -9)*3/(-16). What is the closest to -0.2 in -5, b, z?
b
Let m = 3.2 - 3. Suppose d - 7*d + 6 = 0. Suppose -7 = 4*s + d. Which is the closest to m? (a) 2/3 (b) -3/4 (c) s
a
Let b = -8.5 + -1.5. Let w = b - -3. Let t = -5 - w. What is the closest to 1 in 2/9, -3/8, t?
2/9
Let g be 1 + -1 - 2/9. Let z be ((-10)/6)/((-1)/3). Let x = 9 - 6. Which is the closest to g? (a) z (b) 1/3 (c) x
b
Let i(u) = 3*u - 14. Let o be i(6). Suppose -4*r + 4 = o*t, 0*r - 4 = -5*t - 4*r. Let n = -0.1 - -0.3. Which is the closest to n? (a) 2 (b) t (c) -0.2
b
Let m = -3 - -7. Let w = -573/5 - -115. Which is the closest
|
{
"pile_set_name": "DM Mathematics"
}
|
descending order.
3, -0.03, -0.1
Sort 11/12, -4/3, -0.2 in decreasing order.
11/12, -0.2, -4/3
Sort -0.026, 0.18, 3/2, 1 in ascending order.
-0.026, 0.18, 1, 3/2
Put -2, -30, 5, -1 in descending order.
5, -1, -2, -30
Put -5, -3, -4 in ascending order.
-5, -4, -3
Put 5, 0, 1, 65, 4 in ascending order.
0, 1, 4, 5, 65
Sort 3, -5, -22, -1, -3.
-22, -5, -3, -1, 3
Put -1/2, -12, -1, -0.1 in decreasing order.
-0.1, -1/2, -1, -12
Put 661, 1, 5 in decreasing order.
661, 5, 1
Put 1, 0.4, -0.464, -5 in ascending order.
-5, -0.464, 0.4, 1
Sort 1, 30, 14/9 in descending order.
30, 14/9, 1
Put 5, -6, 2 in decreasing order.
5, 2, -6
Put -120, -5, 2, 5 in increasing order.
-120, -5, 2, 5
Sort 60.3, -0.1, 2/7 in increasing order.
-0.1, 2/7, 60.3
Sort -8/23, -2, -0.3 in descending order.
-0.3, -8/23, -2
Sort -441, 0.5, -0.1 in ascending order.
-441, -0.1, 0.5
Put -3, -5, -7, 2 in decreasing order.
2, -3, -5, -7
Sort -2, 3, 6 in ascending order.
-2, 3, 6
Sort 58, -2/9, 5 in ascending order.
-2/9, 5, 58
Put -4, 2, -0.02, -16, 5 in descending order.
5, 2, -0.02, -4, -16
Put 5, -6, -5, -15, -2 in descending order.
5, -2, -5, -6, -15
Put 1, -4.7, 5 in ascending order.
-4.7, 1, 5
Put 4, 1, -11, 2 in descending order.
4, 2, 1, -11
Sort -10, -1, 0.3, 0.2, -0.7.
-10, -1, -0.7, 0.2, 0.3
Put 1.391, 4/5, -2 in descending order.
1.391, 4/5, -2
Sort 4, 3, 8, 1/4, 93 in increasing order.
1/4, 3, 4, 8, 93
Put 34.2, 0.3, 1/10 in descending order.
34.2, 0.3, 1/10
Sort -1/3, 0.09, -0.03 in ascending order.
-1/3, -0.03, 0.09
Sort -5, -3, 38 in ascending order.
-5, -3, 38
Sort -4, -0.5, -2, -1, 59.
-4, -2, -1, -0.5, 59
Sort -1/3, 17, 2/17 in ascending order.
-1/3, 2/17, 17
Sort 8, 4, 10, 3, 6 in increasing order.
3, 4, 6, 8, 10
Put -5, 4, -4, 3 in decreasing order.
4, 3, -4, -5
Sort 1, 0.4, 1514, 3.
0.4, 1, 3, 1514
Put 7, 19, -15, -4, 4 in descending order.
19, 7, 4, -4, -15
Sort -20, 2, 0.
-20, 0, 2
Sort -4, -17.4, 0.1.
-17.4, -4, 0.1
Sort -41, 31, 0 in decreasing order.
31, 0, -41
Put -3, 0, -2, -1 in decreasing order.
0, -1, -2, -3
Put -3, -5, -2, 2, -64 in descending order.
2, -2, -3, -5, -64
Put 5, 1/21, -7, -0.1, -4 in descending order.
5, 1/21, -0.1, -4, -7
Sort -14, 0.5, 3, 0.34, -0.2 in ascending order.
-14, -0.2, 0.34, 0.5, 3
Sort -16, -2, 0.3 in ascending order.
-16, -2, 0.3
Sort 1/4, -0.58, 0.2 in descending order.
1/4, 0.2, -0.58
Put 3574, 2, 5, -3, 4 in increasing order.
-3, 2, 4, 5, 3574
Put -57, -3, 1, -23, 4 in increasing order.
-57, -23, -3, 1, 4
Sort 5, -4, 1, 85, -2.
-4, -2, 1, 5, 85
Put -1/3, 1/2, 3905 in decreasing order.
3905, 1/2, -1/3
Put 1, -5, 4, 15, 10 in descending order.
15, 10, 4, 1, -5
Sort 1, 4, -2, -3 in increasing order.
-3, -2, 1, 4
Sort 4, -7, -4.
-7, -4, 4
Sort 8, -12, 3, 4, 2 in increasing order.
-12, 2, 3, 4, 8
Sort -3, 4, -25 in ascending order.
-25, -3, 4
Put -0.3, 2/3, -1, 0, -4/3 in decreasing order.
2/3, 0, -0.3, -1, -4/3
Put -0.4, -5, -4.3, 1 in descending order.
1, -0.4, -4.3, -5
Sort -304, -5, 1, 4 in increasing order.
-304, -5, 1, 4
Sort 3, 1, 2, -9, 18.
-9, 1, 2, 3, 18
Put 5, 3, -6, -1 in decreasing order.
5, 3, -1, -6
Sort 4, 0.4, 0.14, -1/5, -5 in decreasing order.
4, 0.4, 0.14, -1/5, -5
Sort -5, 0, 1/4, 0.4, -1/7.
-5, -1/7, 0, 1/4, 0.4
Put -5, 1, 13, 4, -4 in ascending order.
-5, -4, 1, 4, 13
Put 1, -42, 0 in increasing order.
-42, 0, 1
Sort -24, 5, 3, -4, 2 in descending order.
5, 3, 2, -4, -24
Sort 4, -26, -1 in decreasing order.
4, -1, -26
Sort -1, -5, 9, 0 in descending order.
9, 0, -1, -5
Put -3/2, 3, -306, 2/3, -4 in descending order.
3, 2/3, -3/2, -4, -306
Sort -64, 7, 1, -2.
-64, -2, 1, 7
Sort 2, 7, -36 in decreasing order.
7, 2, -36
Put -13, -103, -1, 2 in descending order.
2, -1, -13, -103
Sort 3, 1/4, 0.7 in ascending order.
1/4, 0.7, 3
Sort -3, 0.237, -6/13.
-3, -6/13, 0.237
Put -0.4, -1.74, 1 in increasing order.
-1.74, -0.4, 1
Sort -2, 1, -1/5 in ascending order.
-2, -1/5, 1
Put 65, 3, 0.4 in increasing order.
0.4, 3, 65
Sort 2, 16, -3, -19 in increasing order.
-19, -3, 2, 16
Sort -0.5, 621, 1/4.
-0.5, 1/4, 621
Put -34.8, -0.1, 0.1, 1 in increasing order.
-34.8, -0.1, 0.1, 1
Sort 0, -5, 176, 4 in ascending order.
-5, 0, 4, 176
Sort -2, 0, 1793 in ascending order.
-2, 0, 1793
Put 11, -1, 16, -4 in ascending order.
-4, -1, 11, 16
Put 0.1, 2/49, -1, 4 in ascending order.
-1, 2/49, 0.1, 4
Put 0, -3, -12 in descending order.
0, -3, -12
Sort 15, 1, -5, 4, 5 in descending order.
15, 5, 4, 1, -5
Sort -3, 0.5, -1.252, -0.4 in decreasing order.
0.5, -0.4, -1.252, -3
Put -2/17, 2, 17, -0.3, 0 in increasing order.
-0.3, -2/17, 0, 2, 17
Sort 0, -4, -1, -62 in ascending order.
-62, -4, -1, 0
Sort -632, 0, -4 in descending order.
0, -4, -632
Put -258, 2/9, 1/2 in increasing order.
-258, 2/9, 1/2
Sort -4, 0, -8, -7 in ascending order.
-8, -7, -4, 0
Sort 1, 3, 2, -339.
-339, 1, 2, 3
Sort -5, -2, 4, -681, -4 in increasing order.
-681, -5, -4, -2, 4
Sort 27943, -4, -3 in descending order.
27943, -3, -4
Put -0.1, 4, -2.6, -1/8 in descending order.
4, -0.1, -1/8, -2.6
Put 0.3, -0.024, -5/4 in descending order.
0.3, -0.024, -5/4
Sort 2/3, -21, 2/5 in descending order.
2/3, 2/5, -21
Put -16, -5, -3, -3/8, 19 in descending order.
19, -3/8, -3, -5, -16
Sort -57, 1, 1.8 in ascending order.
-57, 1, 1.8
Sort 4, -7, 3, 1/66 in decreasing order.
4, 3, 1/66, -7
Put 25/2, -4, -8/39 in descending order.
25/2, -8/39, -4
Put 5, 43/3, -2/11, -6/11, 0 in descending order.
43/3, 5, 0, -2/11, -6/11
Sort -10/3, 3, 1 in ascending order.
-10/3, 1, 3
Put -1, -32, -3 in ascending order.
-32, -3, -1
Sort 2, 3330, 4/9 in increasing order.
4/9, 2, 3330
Put 5, -10, -5 in decreasing order.
5, -5, -10
Sort 2, -28, -99, 5.
-99, -28, 2, 5
Sort -0.3, -0.08, 2/3, 3/4 in increasing order.
-0.3, -0.08, 2/3, 3/4
Put 0.1, -16, 10 in decreasing order.
10, 0.1, -16
Put -1, 132, 0 in ascending order.
-1, 0, 132
Sort -1, 3, -7, -4, 4 in ascending order.
-7, -4, -1, 3, 4
Sort -14, -0.4, 0, -1, 0.4 in decreasing order.
0.4, 0, -0.4, -1, -14
Sort 1, 1/3, -2, -1.7, -0.1 in decreasing order.
1, 1/3, -0.1, -1.7, -2
Put 0, 0.5, -2, 7/15 in decreasing order.
0.5, 7/15, 0, -2
Put 2/7, -3/8, -2/37 in descending order.
2/7, -2/37, -3/8
Put 0.3, 4, 2/35 in descending order.
4, 0.3, 2/35
Put 3, -1, 1, 5, 74 in decreasing order.
74, 5, 3, 1, -1
Sort 1, 41, 2 in increasing order.
1, 2, 41
Sort 3, 18, 5, 0.
0, 3, 5, 18
Put -1, -3346, -4, 5, 2 in descending order.
5, 2, -1, -4, -3346
Put -2, -49, 4 in descending order.
4, -2, -49
Sort 8, 4, 91 in decreasing order.
91, 8, 4
Put -3, -12, 4, -2, 1 in decreasing order.
4, 1, -2, -3, -12
Sort 2, 32, -2, -1.
-2, -1, 2, 32
Sort 2, 11, 32, -5, -1 in increasing order.
-5, -1, 2, 11, 32
Sort 7, 4, -6, -3 in decreasing order.
7, 4, -3, -6
Put 65, 2, -17 in increasing order.
-17, 2, 65
Sort 3, -0.5, 2/9, -2, -70 in ascending order.
-70, -2, -0.5, 2/9, 3
Sort 1.6, -5, 0.4, -0.7.
-5, -0.7, 0.4, 1.6
Put 24/61, -5, -2, -2/7 in ascending order.
-5, -2, -2/7, 24/61
Put 8, 5, -6, 1, -2 in decreasing order.
8, 5, 1, -2, -6
Put 5, -472, -2, 3 in ascending order.
-472, -2, 3, 5
Put 27, -1, 39 in descending order.
39, 27, -1
Put 1/5, -0.12, -28 in increasing order.
-28, -0.12, 1/5
Put -8, -2, 22 in decreasing order.
22, -2, -8
Put -1/19, -0.2, -2 in descending order.
-1/19, -0.2, -2
Sort -0.4, -6/7, -4 in increasing order.
-4, -6/7, -0.4
Put 2.2, -0.4, -1/4, 2/15 in decreasing order.
2.2, 2/15, -1/4, -0.4
Put -5, -12, 20, 1 in increasing order.
-12, -5, 1, 20
Sort 307, -5, 7 in decreasing order.
307, 7, -5
Put -0.6, -5, -25 in decreasing order.
-0.6, -5, -25
Put 2/9, -13, 3, 4 in increasing order.
-13, 2/9, 3, 4
Sort -3, 2, 5, 6 in decreasing order.
6, 5, 2, -3
Put -5, -273, 3, 5, -1 in ascending order.
-273, -5, -1, 3, 5
Sort -41, -1/2, 8, 1/6 in increasing order.
-41, -1/2, 1/6, 8
Sort -2, -4, 162 in ascending order.
-4, -2, 162
Sort 1, 0.028, -5/3, 3/4, -5.
-5, -5/3, 0.028, 3/4, 1
Sort -1, -12, 2, 0.
-12, -1, 0, 2
Sort 11, 7, 0, -8 in decreasing order.
11, 7, 0, -8
Put -0.1, -0.2, 4/507 in increasing order.
-0.2, -0.1, 4/507
Sort 4, 0.14, 76/39 in decreasing order.
4, 76/39, 0.14
Put 4, 1, -2, -1, 503 in descending order.
503, 4, 1, -1, -2
Sort -8/7, 31, -1 in ascending order.
-8/7, -1, 31
Sort 19, -3, -22 in descending order.
19, -3, -22
Put -141, 2, 5 in i
|
{
"pile_set_name": "DM Mathematics"
}
|
13*d**2/2 + 10*d - 5. Let t be c(11). Let l(w) = w**2 + 11*w + 11. Is l(t) composite?
False
Is (-55)/66 + 112918/12 composite?
True
Let y = 3430 + -359. Is y a prime number?
False
Suppose -3*t - r = -8778, -4*t + 11693 = 53*r - 48*r. Is t a composite number?
False
Let u be 10/(-5)*(3 - -8). Let c = 209 + u. Is c a prime number?
False
Suppose 2*y - 3394 = 4*x, 6773 = -y + 5*y - 3*x. Is y composite?
True
Suppose -14 = -5*k - 4*j, 0 = k - 0*k - 5*j + 3. Let x = -136 + 138. Suppose x*m - 65 - 129 = -k*y, 5*m = y - 97. Is y composite?
False
Let t be -4 + 7 + (-1 - -3). Suppose 0*c - 756 = -c - 5*j, t*c - 3*j = 3752. Is c prime?
True
Let d(a) = 2*a + 24. Let u be d(-15). Let f(l) = -85*l + 11. Is f(u) composite?
False
Let c be 35/20 - 2/(-8). Suppose c*y = 4*y - 3490. Is y a composite number?
True
Suppose -5*r + r = -3*y - 45075, 0 = -4*y - 3*r - 60125. Is y/(-49) + (-4)/(-14) a prime number?
True
Suppose 0 = 13*s + 22 - 243. Let y(p) = 2*p**2 - 7*p + 28. Is y(s) a prime number?
True
Let u(g) = 5*g**2 - 2*g + 1. Let i be u(1). Suppose -13856 = -i*s - 2116. Is s a composite number?
True
Let p(i) = 11*i - 2. Let k be p(1). Suppose 3*b = -3 + k. Suppose -5*z + 2*c - 3*c + 94 = 0, 2 = -b*c. Is z composite?
False
Suppose 2*n = -z - 3*n + 4, -5*z = 2*n - 20. Suppose -z*w + 6065 = w. Is w composite?
False
Suppose 4325 = 3*r + 2*v - 1228, -4*r + v = -7393. Is r prime?
False
Let h(v) = 1056*v - 7. Is h(6) a composite number?
False
Let x be (-112)/(-64) + 1/4. Let i(a) = 98*a + 3. Let z be i(-3). Is z/(-2) + x/4 prime?
False
Let q(j) be the third derivative of -53*j**4/24 + 25*j**3/6 + 33*j**2. Is q(-8) composite?
False
Let f = 2 + 2. Suppose 6*s - s - f*v = 18, 0 = s + 4*v + 6. Suppose 3*u + s*r = 427, 0*r - 145 = -u + 2*r. Is u a prime number?
False
Suppose -4*s = -5*c + 8102, 8*s + 9 = 5*s. Is c a prime number?
False
Let b = 25 - -187. Let g = -53 + b. Is g prime?
False
Suppose -o + 2798 + 154 = 4*q, 5*q - 2*o - 3677 = 0. Suppose -z = -3*z + 5*x + 1474, q = z - 4*x. Is z a composite number?
True
Let h = 1 - -582. Is h composite?
True
Is (-20573)/(-7 + 0)*1 composite?
False
Let g(o) = -o**3 + 6*o**2 + 6*o + 10. Let i be g(7). Suppose 0 = -3*y - i*y. Suppose y = -0*p - 2*p + 958. Is p prime?
True
Let s = 94178 + -66673. Is s a composite number?
True
Let h(u) be the first derivative of 2*u**3/3 + 13*u**2/2 - 15*u + 4. Let c be h(-11). Suppose -c + 477 = 3*a. Is a a prime number?
True
Let h be -572 - ((-4 - (-3)/1) + 3). Let c = -128 - h. Is c composite?
True
Suppose 3*s + 6*k - k - 2807 = 0, s - 929 = -3*k. Suppose 4*r - 4*a = -2000, 2*r - 5*a - 986 = 4*r. Let o = r + s. Is o a composite number?
True
Suppose 0 = -4*d + 6 + 6. Let w(v) = 4*v + 3. Let c(s) = 5*s + 3. Let t(g) = d*c(g) - 4*w(g). Is t(-6) prime?
True
Let l = -10415 - -22473. Is l a prime number?
False
Let i be (-6 - -3)/(6/(-4336)). Suppose 3*x - 2779 = i. Is x a prime number?
False
Let h(f) = -f**2 + 16*f - 15. Let x be h(15). Suppose -5 = -5*z, -5*q + 30 = -x*q + 5*z. Suppose -q*c - 1262 = -7*c. Is c a prime number?
True
Is (14565/10 - -7)*2 prime?
True
Let p be (-53745)/(-9) - (-1)/3. Let q = 11024 - p. Suppose -j + q = 5*g, j + 6066 - 1008 = 5*g. Is g a prime number?
False
Let x(w) = 18*w**3 + 6*w**2 - 9*w + 6. Is x(5) a prime number?
False
Let j(z) = 7*z**2 - 9*z + 89. Is j(45) a composite number?
False
Let s = 7157 - 50165. Is 3 - s/30 - 2/(-5) prime?
False
Let k(g) = -202*g + 27. Let w be k(-16). Let c = w + -1822. Is c a prime number?
False
Let p = 660 - 409. Is p a prime number?
True
Suppose 0*v = -2*v + 6. Suppose 5*b + v = 13. Suppose b*u - 5*u = -45. Is u composite?
True
Let z(y) = 1350*y + 149. Is z(10) composite?
False
Let l(p) = -228*p - 7. Is l(-3) composite?
False
Suppose 44*h + 9 = 41*h, -5*x - 5*h + 248390 = 0. Is x a composite number?
False
Let v = 5 + -15. Is ((-10720)/(-200))/((8/v)/(-2)) a prime number?
False
Let n(y) = 83*y + 116. Is n(15) composite?
False
Let a(i) = -188*i**3 + 3*i**2 + 3*i + 1. Let r be a(-1). Suppose 2424 - r = 5*v. Is v prime?
False
Suppose -185 = -3*l + 421. Suppose -5*s + 2*y = -1168, -s - 3*y + 35 = -l. Suppose s = 7*n - 305. Is n composite?
True
Suppose t - 8 = -3*p, -5*t = 5*p - 7 - 13. Suppose 6*m + t = 4*m. Is (-14 + (-2 - m))/(-1) a prime number?
False
Suppose 5*o = 4*o - 760. Let h = 730 - o. Is ((-6)/(-4))/(5/h) a prime number?
False
Let l = 51579 - 30682. Is l composite?
False
Let c be 1/(-3)*(-21)/7. Let x be 48 - (c + (-5 - -3)). Let d = x - -328. Is d composite?
True
Let v = 29073 + -16414. Is v a composite number?
False
Let i(j) = j**3 + 8*j**2 - 13*j - 19. Is i(8) a composite number?
True
Let y(x) = 5*x**2 + x + 1. Let u be y(-1). Suppose 1653 = 2*t - u*z, -t + 0*z - z + 816 = 0. Suppose 5*c - 646 = t. Is c composite?
False
Let l(z) be the second derivative of -z**4 - 7*z**3/6 + 5*z**2/2 - 6*z. Let i(s) be the first derivative of l(s). Is i(-4) composite?
False
Let w(o) = 8*o**3 + 8*o**2 - 21*o + 15. Let g(v) = -4*v**3 - 4*v**2 + 11*v - 8. Let i(m) = 11*g(m) + 6*w(m). Is i(4) a prime number?
False
Let a = -45 - -151. Let g = a - -57. Is g prime?
True
Suppose -34 - 4 = -k. Suppose k*x + 978 = 44*x. Is x a composite number?
False
Let i = -178 - -492. Let k be ((-573)/(-6) - 2)*(-21 + 19). Let d = i + k. Is d composite?
False
Let x(w) = 12*w - 13 + 1 + 27*w**2 + 2*w**2 - 1. Is x(8) a composite number?
True
Let v(s) = -2*s**2 + 11*s + 1. Let r be v(8). Is (-6)/r + 5794/26 composite?
False
Let h(r) = 200*r**2. Let q be h(-1). Let n(p) = p + 95. Let m be n(-40). Suppose -4*z + q = 3*j, -3*j + m = z - j. Is z a composite number?
False
Let k(z) = 243*z + 14. Let d be k(2). Suppose 0 = -0*r - 2*r - 2*l + d, 2*l = 5*r - 1278. Is r a composite number?
True
Let g be 1*2*(-9)/(-6). Let i(h) be the second derivative of 3*h**4/4 - 2*h**3/3 + h. Is i(g) composite?
True
Let g be (-80)/30*18/8. Let l be (g/(-8))/((-8)/(-32)). Suppose -5*j - 237 = -2*m, -3*m - 5*j = -l*j - 308. Is m prime?
False
Let b = -19 - -26. Suppose -4*o = -b*o + 1056. Suppose 0 = -4*v + o + 820. Is v a composite number?
False
Suppose -2*w + 247 = p, -4*w + 741 = 2*p + p. Let a = 656 - p. Let y = -206 + a. Is y a composite number?
True
Let q = -88 + -58. Suppose -3*i - i - 80 = 0. Is q/(-10) - 8/i composite?
True
Suppose -3*d + 1249 = -z, -5*d + 4*z = 2*z - 2083. Let k = 229 + -145. Suppose -d + k = -p. Is p prime?
True
Let v = -183 + 256. Suppose -c + v = 6. Is c a prime number?
True
Let x(c) = -1032*c + 13. Let r be x(-6). Suppose 0 = -b - 1916 + r. Is b a prime number?
True
Let d(h) = 1639*h**2 - 2*h. Suppose -6*w = -11*w + 5. Is d(w) prime?
True
Suppose -4*u + 3 = f + 11, 5*u - 3*f - 7 = 0. Suppose 0 = -3*h + 6, 3*i + 11 = 4*i + 5*h. Is (i - u)/(4/878) prime?
True
Let a(x) = 28394*x - 7. Is a(1) composite?
False
Suppose -2*n = n - 9. Let g(c) = -c + 7. Let a be g(n). Suppose -a*w + 2571 - 559 = 0. Is w a prime number?
True
Let l(v) be the second derivative of 1/6*v**4 + 1/6*v**3 + 1/2*v**2 + 0 - 27/20*v**5 - 2*v. Is l(-2) a prime number?
True
Suppose 3*t + 17811 = 5*i + 3221, 0 = -2*t + 10. Is i a composite number?
True
Suppose -2*l + 12 = 2*l, -3*g + l = -1512. Is g composite?
True
Let a = 1 - -6. Let b = 9 - a. Suppose -207 - 59 = -b*l. Is l a prime number?
False
Let x(r) = 0*r + 0*r - 3*r + 374*r**2 + 2*r. Is x(1) a composite number?
False
Let b = 6103 - 2384. Is b composite?
False
Let p(g) = 20*g**3 + 9*g**2 + 4*g - 2. Is p(7) a composite number?
True
Let h be -1*(-2 + (0 + 56)/(-2)). Let i = 449 - h. Is i composite?
False
Let j be (-56)/(-21)*30/8. Suppose -1272 = -j*f - 142. Is f composite?
False
Let p be (434/4)/(3/(-36)). Let j = p - -1964. Let g = j - 355. Is g a prime number?
True
Suppose 16 = -2*z - 2. Let s(x) = -x - 197*x**2 - 4 - 204*x**2 + 402*x**2. Is s(z) a prime number?
False
Let x(k) = k**2 + 4*k - 1. Let i be x(-4). Is i/3 + 1912/12 a composite number?
True
Let h = -27 - -29. Suppose -h*s = -8*s + 2454. Is s prime?
True
Suppose g - v = 1251, -2*v + 0*v = g - 1245. Suppose 6*q - 4*q = -5*l + g, 2*q + 759 = 3*l. Is l composite?
False
Let d(n) be the third derivative of -n**5/60 + n**4/2 + 9*n**3/2 - 19*n**2. Is d(10) composite?
False
Suppose -3*p + 4*r + 27107 = 0, 18*p + r = 23*p - 45150. Is p composite?
False
Suppose -72166 = 5*f - 233811. Is f composite
|
{
"pile_set_name": "DM Mathematics"
}
|
4*q(j). Find the first derivative of w(n) wrt n.
82*n
Let h be (-1 + 2)/(-1)*-3. What is the second derivative of -q**4 + 3*q - q**h - q**4 + q**3 wrt q?
-24*q**2
Let y(s) = s + 1. Let b be y(3). Let c = -2 + b. Find the second derivative of -4*f**2 + 2*f**2 + 3*f**2 + 3*f**c - f wrt f.
8
Let h(s) be the first derivative of 2*s**2 + 4*s + 3. Differentiate h(x) with respect to x.
4
Let n(x) be the first derivative of -10*x**7/7 + x**3/3 + 9. Find the third derivative of n(d) wrt d.
-1200*d**3
Let c(m) = 2*m**2 + 16. Let r(b) = 3*b**2 + 24. Let g(t) = 7*c(t) - 5*r(t). Differentiate g(z) with respect to z.
-2*z
Suppose -4*d + p = -9, 0 = 2*d + p + 4*p + 1. What is the derivative of -1 - 1 + 2*h**2 - 3*h**d + 5*h**2 wrt h?
8*h
Find the third derivative of -2*o**3 + 2*o**3 - 5*o**2 - 9*o**4 + 2*o**4 wrt o.
-168*o
Let o(m) = -16*m**2 - 16*m. Let b(g) = 8*g**2 + 8*g. Let v(q) = 14*b(q) + 6*o(q). What is the second derivative of v(k) wrt k?
32
Let m(j) be the second derivative of -7*j**6/30 - 5*j**3/3 - 12*j. Find the second derivative of m(n) wrt n.
-84*n**2
Let j(x) = -4*x**3 - x**2 + 1. Let d be j(-1). Let o = d - 4. What is the derivative of -r + o + 2 - r wrt r?
-2
Let n(a) = -6*a**4 + 1. Let d(u) = -7*u**4 + 1. Suppose 3*i = 5*i - 10. Let m(l) = i*n(l) - 4*d(l). Find the first derivative of m(b) wrt b.
-8*b**3
Let y(i) be the second derivative of -i**6/15 - i**3 + i. Find the second derivative of y(c) wrt c.
-24*c**2
What is the second derivative of -10*c - 6*c - c**4 + 11*c wrt c?
-12*c**2
Let s(n) be the second derivative of 7*n**4/12 - n**3/6 - 10*n. Find the second derivative of s(x) wrt x.
14
Let f = 19 - 14. What is the second derivative of -r**3 + f*r**3 + r**3 + 2*r wrt r?
30*r
Let m be (0 - (-7 + 2)) + -2. Let s(f) be the second derivative of -f + 0 + 0*f**m + 1/12*f**4 - f**2. What is the first derivative of s(x) wrt x?
2*x
Let f be -4 + (4 - (-8 + 4)). Suppose v + 13 = 4*v - m, -m = 4*v - 8. Find the third derivative of 5*p**2 + p**4 - 4*p**2 - v*p**4 + 4*p**f wrt p.
48*p
Let s(x) = x**3 + 7*x**2 + 6*x + 4. Let y be s(-6). Suppose 4*c - y = 3*c. Differentiate 5 - h - h - c with respect to h.
-2
Let r(f) be the second derivative of -1/6*f**4 + 0*f**6 - 7*f + 0*f**5 + 1/7*f**7 + 0 + 0*f**2 + 0*f**3. What is the third derivative of r(j) wrt j?
360*j**2
Let k(x) = -x**4 - x**2 + x + 1. Let y(p) = 29*p**4 - 2*p**2 + 2*p + 31. Let l(j) = 2*k(j) - y(j). Differentiate l(v) wrt v.
-124*v**3
What is the third derivative of -9*q**2 + 638*q**5 - 672*q**5 + 4*q**2 - 9*q**2 wrt q?
-2040*q**2
Let l(v) = 12*v**5 + 25*v. Let f(u) = -23*u**5 - 51*u. Let q(p) = -2*f(p) - 5*l(p). What is the second derivative of q(d) wrt d?
-280*d**3
Let l(r) = -13*r - 6. Let o(a) = 7*a + 3. Let k(h) = 6*l(h) + 11*o(h). Find the first derivative of k(t) wrt t.
-1
Let t(v) be the first derivative of 24*v**5/5 + 14*v - 17. Find the first derivative of t(q) wrt q.
96*q**3
Let v be 10/35 + (-26)/(-7). Suppose -4*w = -v*l - l + 6, 1 = 3*w - l. What is the first derivative of -2 + w - p**4 + 2 wrt p?
-4*p**3
Let c(w) = 17*w**4 + 5*w + 14. Let a(y) = -17*y**4 - 6*y - 15. Let i(l) = 5*a(l) + 6*c(l). Differentiate i(h) wrt h.
68*h**3
Let j be 0 + 1/((-2)/(-2)). Let u(g) = 6*g + 2. Let q(t) = t - 1. Let a(s) = j*u(s) - 2*q(s). Find the first derivative of a(l) wrt l.
4
Let q(y) be the second derivative of -y**7/105 - y**4/8 + y**2/2 - 2*y. Let h(b) be the first derivative of q(b). Find the second derivative of h(m) wrt m.
-24*m**2
Let x(i) be the third derivative of i**5/20 - i**3/6 + 2*i**2. Let g be x(-1). Find the third derivative of 4*l**5 - l**g - 3*l**2 + 5*l**2 wrt l.
240*l**2
Suppose 2*y - 4 = -3*p, 4*y - 5*p - 7 = 1. Differentiate -3 + s**2 + 0 + s**y - 5*s**2 with respect to s.
-6*s
Let k(s) be the first derivative of s - 1/3*s**3 + 0*s**2 + 4. Differentiate k(a) wrt a.
-2*a
What is the third derivative of 13*m**5 + 18*m**5 - 15*m**2 - 56*m**5 wrt m?
-1500*m**2
What is the second derivative of 88 + 2*w**2 - 88 - 7*w wrt w?
4
Let q(m) be the first derivative of 37*m**6/6 - 19*m**3/3 + 11. Find the third derivative of q(p) wrt p.
2220*p**2
Let k = 10 + -8. Suppose 11 = 3*p + k. What is the second derivative of 5*w + w + 2*w**3 + 0*w**3 - p*w wrt w?
12*w
Let q(o) be the second derivative of -29*o**4/12 + o**3/6 + o**2/2 + 4*o + 1. What is the second derivative of q(b) wrt b?
-58
Let t = -322 - -12881/40. Let n(x) be the third derivative of -t*x**6 + 0 - x**2 + 1/60*x**5 + 0*x**3 + 0*x + 0*x**4. Find the third derivative of n(c) wrt c.
-18
What is the second derivative of -1 - 31*x**2 + 15*x + 5 - 3 wrt x?
-62
Let t = -25 - -39. Suppose -5*l - 5*k = -25, 5*l - 2 = -2*k + t. What is the second derivative of 7*f - 2*f - 2*f**2 - 2*f - l*f wrt f?
-4
Suppose -3*d + 204 = -3*l + 12, -56 = -d - l. Differentiate d*g - 60*g + 7*g**2 + 8 wrt g.
14*g
Let y(a) = -3*a**3 - 2*a**2 + 4*a + 2. Let p(d) = 2*d**3 + 3*d**2 - 4*d - 3. Let u(l) = -2*p(l) - 3*y(l). Find the second derivative of u(s) wrt s.
30*s
What is the second derivative of -13*h + 795*h**3 - 5 + 5 - 796*h**3 wrt h?
-6*h
Find the third derivative of -4*c**2 + 6*c - 3*c**4 - 5*c - c wrt c.
-72*c
Suppose z + 0*z = 6. What is the third derivative of 0*c**2 + c**2 + 2*c**2 - c**6 + 2*c**z wrt c?
120*c**3
Let l(s) be the second derivative of -s**5/30 - s**3/6 + 5*s**2/2 + 4*s. Let w(h) be the first derivative of l(h). What is the first derivative of w(z) wrt z?
-4*z
Let l(m) be the second derivative of 7*m**5/20 - m**4/4 - 14*m**2 - 16*m. What is the first derivative of l(n) wrt n?
21*n**2 - 6*n
What is the derivative of -g**2 + g**2 + 7*g**2 + 0 + 4 wrt g?
14*g
Let f be (-110)/(-35) + (-2)/14. Find the second derivative of 6*g + 6*g**4 - 92*g**3 + 92*g**f wrt g.
72*g**2
Let j(m) = m**2 - m. Let z(f) = f + 1. Let i(r) = 2*r**2 + 2*r + 1. Let b(x) = i(x) - 3*z(x). Let p(o) = b(o) - j(o). Find the first derivative of p(k) wrt k.
2*k
Let o = -5 - 2. Let c = -5 - o. Find the third derivative of -2*x**3 + 2*x**3 + 0*x**3 + x**c - 4*x**4 wrt x.
-96*x
Let s(d) be the second derivative of -3*d**5/4 + 17*d**3/6 - 12*d. Find the second derivative of s(y) wrt y.
-90*y
Let g be (-34)/(-6) + 4/(-6). Suppose 2*a = a + 2. What is the second derivative of -a*r - 5*r**5 + g*r**5 - r**5 + 2*r**5 wrt r?
20*r**3
What is the second derivative of 4*o - 8*o + 10*o**5 + 11*o**5 wrt o?
420*o**3
Suppose 11 = 2*u + 1. What is the third derivative of -i**2 + 4*i**2 - 3*i**u + i**5 - i**2 wrt i?
-120*i**2
Let q(f) = 2*f - 1 - 3 + 0*f. Let c be q(3). Find the second derivative of x + x**4 + 2*x**c - 2*x**2 wrt x.
12*x**2
Let l = -16/3 + 17/3. Let b(w) be the second derivative of 0*w**2 + 2*w - 1/10*w**5 - l*w**3 + 0*w**4 + 0. Find the second derivative of b(q) wrt q.
-12*q
Let y(g) be the first derivative of g + 0*g**2 - 3/5*g**5 + 0*g**3 - 4 + 0*g**4. What is the first derivative of y(q) wrt q?
-12*q**3
Let i(b) be the second derivative of -b**7/105 + b**3/2 - 5*b**2/2 + 6*b. Let j(h) be the first derivative of i(h). What is the derivative of j(p) wrt p?
-8*p**3
Let r = 7 + -4. What is the third derivative of r*h**2 + 0*h**3 - 4*h**2 + 3*h**3 + 5*h**2 wrt h?
18
Let z(g) be the first derivative of -g**3/3 - 2*g - 9. What is the derivative of z(o) wrt o?
-2*o
Let f(c) = -3*c**2 + 5*c - 5. Let b(s) = -3*s**2 + 4*s - 6. Let y(a) = 5*b(a) - 4*f(a). Differentiate y(q) with respect to q.
-6*q
Let h(u) be the first derivative of 3*u**6/2 - 2*u**3 + 4. Find the third derivative of h(b) wrt b.
540*b**2
Suppose 3*s = -s + 32. Suppose -6*x + s = -2*x. Find the second derivative of n**3 - x*n**2 - 2*n + 2*n**2 wrt n.
6*n
Let g(p) = -p - 5. Let f be g(-7). Let k = f - -2. What is the third derivative of -2*v**2 + v - v + v**k wrt v?
24*v
Suppose 0 = -5*p + 5 + 25. Let u(r) = r - 5. Let l be u(7). What is the third derivative of l*b**6 - 4*b**p + 3*b**2 + 0*b**6 - 5*b**2 wrt b?
-240*b**3
What is the second derivative of 2*t**3 - 2*t**3 + t + t - 5*t**3 wrt t?
-30*t
Suppose -4*s - 12 = 5*d, 0 = -5*s - 2*d + 2 - 0. What is the third derivative of -s*g**6 + 0 + 0 - g**6 + 2*g**2 wrt g?
-360*g**3
Let a = 5 - 1. What is the derivative of -u**a - 2 - 3*u + 3*u + 4 wrt u?
-4*u**3
Let x(o) be the second derivative of -o**6/6 + 3*o**3/2 + o. What is the second derivative of x(p
|
{
"pile_set_name": "DM Mathematics"
}
|
picked without replacement from {c: 5, d: 1, t: 5}. What is prob of sequence cdcc?
1/132
Calculate prob of sequence hm when two letters picked without replacement from vmqvmhvmqm.
2/45
Two letters picked without replacement from {a: 1, k: 1, q: 4, o: 3, c: 5}. What is prob of sequence qa?
2/91
What is prob of sequence rx when two letters picked without replacement from ccccxcrcrrcrr?
5/156
What is prob of sequence oqq when three letters picked without replacement from oqoqqooooqo?
14/165
Four letters picked without replacement from {p: 3, k: 4, j: 6}. Give prob of sequence jkjj.
4/143
Calculate prob of sequence fofo when four letters picked without replacement from {f: 2, o: 8}.
1/45
Two letters picked without replacement from {t: 1, y: 12}. Give prob of sequence yt.
1/13
Two letters picked without replacement from {s: 1, c: 1, b: 1, m: 1, q: 1, i: 2}. What is prob of sequence sq?
1/42
Calculate prob of sequence xx when two letters picked without replacement from {c: 2, m: 7, x: 7, b: 1}.
21/136
Calculate prob of sequence ee when two letters picked without replacement from eeeeaeeeeeeee.
11/13
Two letters picked without replacement from ovqvfrqfroroqrr. Give prob of sequence vv.
1/105
Three letters picked without replacement from hhllllhhhhlllh. What is prob of sequence lhh?
7/52
Three letters picked without replacement from nze. What is prob of sequence zen?
1/6
Calculate prob of sequence rp when two letters picked without replacement from rprrrdppprpdrpp.
1/5
Three letters picked without replacement from gthh. Give prob of sequence ght.
1/12
Two letters picked without replacement from {e: 7, g: 3, t: 7, y: 1, r: 1}. What is prob of sequence ty?
7/342
Four letters picked without replacement from {v: 1, u: 3, h: 2, e: 1, y: 4, j: 1}. What is prob of sequence yhvh?
1/1485
Calculate prob of sequence hx when two letters picked without replacement from {o: 2, x: 2, y: 1, l: 1, h: 2, p: 1}.
1/18
Three letters picked without replacement from izgwyic. What is prob of sequence ziw?
1/105
What is prob of sequence gvpw when four letters picked without replacement from gwvwwpwv?
1/210
Calculate prob of sequence hah when three letters picked without replacement from aaiahhaiiha.
1/33
Calculate prob of sequence kk when two letters picked without replacement from {k: 10}.
1
Three letters picked without replacement from fwofvcm. Give prob of sequence wcf.
1/105
What is prob of sequence lc when two letters picked without replacement from lelcl?
3/20
Three letters picked without replacement from {u: 4, p: 1, i: 3, o: 1, k: 1, n: 5}. What is prob of sequence upo?
2/1365
Three letters picked without replacement from kzkpprrpzpkzzpyp. What is prob of sequence ppy?
1/112
Four letters picked without replacement from jdzgzsjzzd. What is prob of sequence jjdg?
1/1260
Two letters picked without replacement from {d: 2, i: 17}. What is prob of sequence di?
17/171
Two letters picked without replacement from {d: 2, m: 2, a: 1, p: 2, g: 1}. What is prob of sequence pa?
1/28
Two letters picked without replacement from {h: 11, d: 1, x: 3, l: 5}. What is prob of sequence xh?
33/380
What is prob of sequence wijj when four letters picked without replacement from jiwjb?
1/60
Three letters picked without replacement from xtxxxxxxxxyxxy. Give prob of sequence xxx.
165/364
Four letters picked without replacement from aiitafiftfiai. What is prob of sequence iaai?
1/143
Two letters picked without replacement from {k: 5, o: 2, t: 13}. Give prob of sequence kt.
13/76
Four letters picked without replacement from imllimliil. Give prob of sequence lmim.
2/315
What is prob of sequence gqo when three letters picked without replacement from gqygooiiigoygqygyqq?
10/969
Four letters picked without replacement from {m: 7, u: 3, c: 4}. Give prob of sequence muum.
3/286
Two letters picked without replacement from {w: 4, h: 1, u: 2, s: 4, e: 6, m: 3}. What is prob of sequence ew?
6/95
Three letters picked without replacement from {d: 3, x: 4, p: 11}. What is prob of sequence xpx?
11/408
Two letters picked without replacement from {d: 2, f: 1}. What is prob of sequence dd?
1/3
Calculate prob of sequence mmm when three letters picked without replacement from cbmmeffmmcmwmm.
5/52
Two letters picked without replacement from {u: 9, e: 3, d: 4}. What is prob of sequence ud?
3/20
Two letters picked without replacement from vvvavaaabvvvavvava. What is prob of sequence vv?
5/17
Two letters picked without replacement from pppphmyyhc. Give prob of sequence py.
4/45
Calculate prob of sequence tq when two letters picked without replacement from ttqqlhhootth.
2/33
Three letters picked without replacement from {d: 6, x: 13}. Give prob of sequence xdx.
52/323
What is prob of sequence yyk when three letters picked without replacement from {l: 2, k: 2, v: 3, y: 9, q: 1}?
3/85
Two letters picked without replacement from ooooooo. What is prob of sequence oo?
1
Calculate prob of sequence nn when two letters picked without replacement from {h: 1, n: 6, f: 12}.
5/57
Two letters picked without replacement from qxrqqxqmqqqqru. Give prob of sequence rr.
1/91
Calculate prob of sequence lx when two letters picked without replacement from {d: 5, l: 1, r: 2, m: 5, x: 1, v: 2}.
1/240
Four letters picked without replacement from mcfwcwcwwmnn. What is prob of sequence wnnm?
2/1485
Three letters picked without replacement from {s: 1, a: 2, x: 2}. What is prob of sequence sxx?
1/30
Calculate prob of sequence geee when four letters picked without replacement from {e: 8, a: 4, g: 1}.
14/715
What is prob of sequence sjy when three letters picked without replacement from {j: 3, y: 1, s: 4}?
1/28
Two letters picked without replacement from {j: 1, v: 2, h: 2}. What is prob of sequence hj?
1/10
Two letters picked without replacement from ttqtq. What is prob of sequence qq?
1/10
Two letters picked without replacement from {k: 7, e: 5, r: 1, n: 5}. Give prob of sequence ek.
35/306
Three letters picked without replacement from {t: 3, n: 7}. What is prob of sequence tnn?
7/40
Calculate prob of sequence xxrr when four letters picked without replacement from {r: 8, i: 2, x: 2}.
14/1485
Calculate prob of sequence xvv when three letters picked without replacement from {k: 2, b: 4, o: 5, l: 1, x: 1, v: 2}.
1/1365
What is prob of sequence wrw when three letters picked without replacement from {w: 9, j: 1, r: 1}?
4/55
Calculate prob of sequence nah when three letters picked without replacement from juhna.
1/60
Three letters picked without replacement from oozdoodoodolzttyolol. What is prob of sequence loz?
3/380
Four letters picked without replacement from {g: 1, i: 2, f: 1, n: 2}. Give prob of sequence igif.
1/180
Three letters picked without replacement from ooyly. Give prob of sequence lol.
0
What is prob of sequence buuy when four letters picked without replacement from {y: 1, d: 1, o: 2, b: 2, u: 2}?
1/420
Calculate prob of sequence kk when two letters picked without replacement from yyykykpyykpkpypdkp.
10/153
Two letters picked without replacement from {d: 1, k: 3, e: 3, u: 2, o: 1, w: 5}. What is prob of sequence ek?
3/70
Calculate prob of sequence nmn when three letters picked without replacement from {m: 17, n: 3}.
17/1140
Three letters picked without replacement from ovvvovvvvvvvovvv. Give prob of sequence vvo.
39/280
Calculate prob of sequence uc when two letters picked without replacement from ccduddcuccddcdu.
3/35
What is prob of sequence ppq when three letters picked without replacement from pqqppp?
1/5
Two letters picked without replacement from {r: 8, h: 3}. Give prob of sequence hr.
12/55
Four letters picked without replacement from chnacnnhnwwsncnsncns. Give prob of sequence nahw.
4/14535
Four letters picked without replacement from {i: 5, y: 1, r: 1, t: 6, c: 1}. Give prob of sequence yctt.
5/4004
Four letters picked without replacement from {o: 9, s: 2}. Give prob of sequence ssoo.
1/55
Four letters picked without replacement from pppppnppbnddjtb. What is prob of sequence bjdn?
1/4095
Two letters picked without replacement from osseeofsbefbe. What is prob of sequence bo?
1/39
Two letters picked without replacement from tootkrtootoduutkukko. Give prob of sequence rk.
1/95
Two letters picked without replacement from sssssss. W
|
{
"pile_set_name": "DM Mathematics"
}
|
pose g = -o + 5*u - 12 - 1, 0 = -h*u + 9. What is the highest common factor of 20 and o?
2
Suppose -2*r + 4 + 4 = 0. Suppose -2 = -3*h + r. What is the highest common divisor of 5 and h?
1
Let g be (12 - 14)/((-2)/1). What is the greatest common factor of 5 and g?
1
Suppose 7*x = 5*x + 26. What is the highest common factor of 117 and x?
13
Let g = -46 - -78. Calculate the greatest common divisor of g and 256.
32
Let a = -5 + 7. Suppose 0 = -2*l + 4*r + 120, 3*r + 275 = 4*l + a*r. Calculate the greatest common factor of 10 and l.
10
Suppose -93 = -2*t + 87. Suppose 0 = 3*l - 0*l - t. Let y = 14 + -4. Calculate the greatest common factor of y and l.
10
Let n(o) = -o**3 + 22*o**2 + 23*o + 5. Let d be n(23). Calculate the highest common factor of 55 and d.
5
Let h(j) be the third derivative of 7*j**5/20 + 5*j**2. Let g be h(1). Calculate the greatest common factor of 7 and g.
7
Let n be -33*(3 + -1 - 7). Suppose -5*b - s = 3*s - 230, -3*b + 3*s + n = 0. Calculate the highest common factor of 5 and b.
5
Let t(r) = -r - 6. Let z be t(-18). What is the greatest common factor of z and 6?
6
Let u be ((-64)/12)/((-2)/9). Let q = -6 + u. What is the greatest common divisor of q and 72?
18
Let n(i) = 2*i**2 + i - 3. Let f be n(-6). What is the highest common factor of 126 and f?
63
Let u = 8 - 3. Suppose 6*c = 2*c - x + 245, 290 = u*c - 2*x. Calculate the highest common divisor of c and 15.
15
Let t(n) = -n - 1. Let v be t(1). Let g be 111/v + (-4)/(-8). Let k = 88 + g. Calculate the highest common divisor of k and 11.
11
Let i be 93 + 3*(1 + -2). Calculate the highest common divisor of 36 and i.
18
Let k be 16/(-10)*(-11 - -1). Calculate the greatest common factor of k and 144.
16
Suppose 15 = 6*y - y. Suppose -24 = -y*b + 18. Let v(w) = -w**3 + 6*w**2 + w + 1. Let m be v(6). What is the highest common factor of b and m?
7
Let u = 174 + -122. What is the greatest common factor of 130 and u?
26
Let s = 79 + 41. Let v = s - 212. Let n be 0 - (-4)/(-2) - v. What is the greatest common factor of n and 15?
15
Let x(u) = 14*u. Let w be x(-1). Let s = 24 + w. Suppose 2*l - 25 = l. Calculate the highest common factor of l and s.
5
Suppose 30 - 100 = -5*n. What is the highest common divisor of n and 2?
2
Let f = 636 + -324. What is the greatest common factor of f and 39?
39
Let n = -31 + 46. What is the greatest common factor of 10 and n?
5
Suppose 2*j - a + 48 = -36, 0 = 3*j + a + 131. Let i = -27 - j. Calculate the greatest common divisor of i and 80.
16
Let f be 0/((4/(-2))/1). Suppose 0 = -f*y + 5*y, 183 = 3*a - y. Suppose -p = -47 - a. What is the highest common divisor of p and 12?
12
Let r be (-2)/((-554)/186 + 3). Let b = r + 198. What is the greatest common divisor of b and 21?
21
Let m(t) = -2*t - 8. Let d be m(-6). Suppose d*w - w - 108 = 0. What is the greatest common divisor of 54 and w?
18
Let f be 1*-1*(-98)/(10 - 3). What is the greatest common factor of 56 and f?
14
Let f(p) = -p**2 + 11*p - 4. Let h be f(9). Calculate the highest common divisor of 56 and h.
14
Suppose 15*h - 52 = 8. What is the greatest common factor of 64 and h?
4
Let t(q) = q**3 - 2*q**2 + 2*q - 1. Let k be t(2). What is the greatest common factor of 3 and k?
3
Let s be 117/(-6)*6/(-9). Calculate the greatest common factor of 91 and s.
13
Let r(w) = w**2 - 7*w - 2. Let t be r(8). Calculate the greatest common factor of t and 42.
6
Suppose -2*x - 88 = -5*y - 24, -4*y = -3*x - 47. Let o be (-2)/(-7) - (-782)/7. What is the greatest common factor of o and y?
14
Suppose 12 = h - 2. Calculate the greatest common factor of 112 and h.
14
Let n(p) = p**3 + 8*p**2 - p + 11. Let f be n(-8). Calculate the highest common divisor of f and 19.
19
Suppose -2*v = -5*v + 18. Let r = -3 + v. Suppose r*b - 7 = 2*b. Calculate the highest common divisor of b and 7.
7
Let b = -37 + 165. Calculate the greatest common factor of 16 and b.
16
Suppose -4*u = -2*x - 2*x - 80, 3*u + x = 76. Calculate the greatest common factor of u and 24.
24
Let w = -49 + 69. Calculate the greatest common factor of w and 30.
10
Suppose 3*b - 2*g - 13 = 2*b, b = 3*g + 17. Let m(j) = j**3 - 6*j**2 - 6*j + 2. Let l be m(6). Let p = l - -89. Calculate the highest common factor of b and p.
5
Let o(w) be the first derivative of 10*w**3/3 + 7*w**2/2 - 4*w + 1. Let y be o(6). Suppose -y - 86 = -4*j. What is the greatest common factor of 11 and j?
11
Let r = 23 + -18. What is the highest common divisor of r and 15?
5
Let j be (-3)/2*(-152)/12. What is the highest common divisor of 19 and j?
19
Let c be (1 + 10/6)*12. Suppose 3*y + 2*l + 3 = 2*y, 0 = 4*l + 8. Suppose 49 = 6*b + y. Calculate the highest common factor of b and c.
8
Let d = -10 + 16. Let q be 5/(-3)*-18*1. What is the greatest common factor of d and q?
6
Let f be (-2 - -1)/(2/(-14)). What is the greatest common divisor of 28 and f?
7
Suppose 0 = z + 5*k - 6, 2*z + 5*k = 4*k - 6. Let w be z/10 + (-603)/(-45). Calculate the highest common divisor of 52 and w.
13
Let d = 5 + -2. Suppose -u - 11 = 4*w, w + 0 = -d. Suppose -5*x = -0 - 5. What is the highest common divisor of u and x?
1
Suppose -2*y + 7*y = 95. Calculate the highest common factor of 95 and y.
19
Let g = 105 + -51. Calculate the greatest common divisor of 6 and g.
6
Let m(t) = t**2 + 6*t + 9. Let l be m(-6). Let y(j) = 6*j**2 + 4*j + 1. Let n be y(-4). What is the greatest common divisor of l and n?
9
Let l be 11 - -3 - (0 + 3). What is the greatest common factor of l and 33?
11
Let z be (-1)/5 + 528/15. Calculate the greatest common divisor of z and 14.
7
Suppose 5*c = q + 13, -q - 1 = -2*c + c. Let t(z) = 26*z**2 - 2*z - 1. Let o be t(q). Calculate the greatest common factor of o and 9.
9
Let v(t) = 12*t + 3. Let j be v(-3). Let d = j + 7. Let r = d - -36. Calculate the highest common divisor of r and 40.
10
Let m(d) = d**2 + 6*d - 7. Let i be m(-7). Suppose 16 = o - i*o. What is the greatest common divisor of 48 and o?
16
Let i(v) = -v**2 + 5*v - 13. Let o be i(-8). Let m be (-837)/o + 2/(-13). What is the highest common factor of 7 and m?
7
Suppose -t = 2*h - 59, h + 19 = 4*t + 44. Suppose -x + h - 7 = 0. Calculate the greatest common factor of 33 and x.
11
Suppose 8*g + 18 = 11*g. What is the greatest common factor of 24 and g?
6
Let s(w) = w**2 - 6*w - 3. Let x be s(6). Let j be 108/x*2/(-4). Calculate the greatest common factor of 27 and j.
9
Let t(k) = -2*k - 1. Let w be t(-1). Let v(j) = -8*j - 7. Let m be v(-4). Let u = m + -17. What is the greatest common divisor of w and u?
1
Let z be (-1)/((-3)/(-270)*-3). Calculate the highest common divisor of 45 and z.
15
Let r(x) = x**2 - 4*x + 7. Let n be r(2). Suppose 3*y - 1 = -4*t, -3*y + 2 = 6*t - t. What is the greatest common divisor of t and n?
1
Suppose -2*b = -5*c + 2*c + 17, -5*c + 65 = 4*b. Suppose 0 = -3*q + 4*w - 2*w + 3, q - 1 = w. Calculate the highest common divisor of c and q.
1
Suppose 5*n - 580 = -4*b + 505, -2*b + 541 = 3*n. Calculate the greatest common divisor of b and 11.
11
Let d(u) = -u**3 + 6*u**2 - 2*u - 2. Let z be d(5). What is the highest common factor of z and 39?
13
Suppose y - 189 = 3*i, -y + 3*i = 6*i - 171. Let n be 18 + 1/(1/2). Calculate the greatest common divisor of n and y.
20
Suppose 0 = -4*m - 0*m + 624. Calculate the greatest common divisor of m and 12.
12
Suppose 0 = -2*l + 262 - 134. Let b = -6 + 38. What is the highest common factor of l and b?
32
Let l(n) = 5*n**2 + 2*n - 3. Let s be l(4). Let y = s + -9. What is the greatest common divisor of y and 19?
19
Let n = 0 - -2. Suppose 7 = f - 3*q, -3*f + n = 5*q - 5. Suppose c = -f*c + 175. Calculate the highest common factor of 5 and c.
5
Suppose -60 = b - 5*b. Suppose 0 = -2*c - c - b, h = -c + 39. Calculate the greatest common factor of h and 11.
11
Let d = 22 - 19. Let o be (0/d + 3)*35. Calculate the greatest common factor of o and 15.
15
Suppose 4*s - b = -38 + 641, -s = 4*b - 138. Calculate the greatest common factor of s and 6.
6
Suppose p - 1 = -2. Let w be (-2 - -3)/(p/(-19)). What is the greatest common factor of 57 and w?
19
Suppose 2 = q - 0. Let f be (42 + 0)/(3/q). What is the highest common divisor of f and 7?
7
Let u(v) = v + 37. Let m be u(-6). What is the greatest common divisor of m and 217?
31
Suppose t - x = 2*t - 58, 5*t = -x + 298. Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
o the nearest 10000.
50000
Round 63.0854 to one dp.
63.1
Round 449651900 to the nearest one hundred thousand.
449700000
What is 68100.02 rounded to the nearest one thousand?
68000
What is 70973.21 rounded to the nearest 10000?
70000
Round -1160.628 to the nearest 100.
-1200
Round -7583320 to the nearest 10000.
-7580000
Round 0.0055134 to four dps.
0.0055
What is 10184.8 rounded to the nearest 100?
10200
What is 0.00002949726 rounded to seven decimal places?
0.0000295
What is -0.672234 rounded to three decimal places?
-0.672
Round -485658000 to the nearest one million.
-486000000
What is 0.2696411 rounded to 2 dps?
0.27
Round 1235640 to the nearest 100000.
1200000
What is 54.33388 rounded to 2 decimal places?
54.33
What is 30.97131 rounded to one dp?
31
What is -0.00034866821 rounded to six decimal places?
-0.000349
What is 0.000000035193 rounded to seven dps?
0
What is 0.007182863 rounded to four dps?
0.0072
What is -0.0000098431107 rounded to 6 dps?
-0.00001
What is -239.1 rounded to the nearest ten?
-240
What is -0.0557717 rounded to one decimal place?
-0.1
What is -44.42326 rounded to the nearest 10?
-40
Round -0.056545 to 4 decimal places.
-0.0565
Round -3626.23 to the nearest one thousand.
-4000
Round 0.00094615 to five dps.
0.00095
What is 9.87303 rounded to the nearest ten?
10
Round -0.000045121 to seven decimal places.
-0.0000451
Round 10.51717 to the nearest integer.
11
Round 18.125 to one dp.
18.1
What is 0.0021082324 rounded to six decimal places?
0.002108
What is 1129.5 rounded to the nearest 10000?
0
What is -1016881 rounded to the nearest 1000?
-1017000
Round 14687840 to the nearest one million.
15000000
Round 66257420 to the nearest 100000.
66300000
Round -0.139857 to one decimal place.
-0.1
Round -17437290 to the nearest one hundred thousand.
-17400000
What is 1693.5417 rounded to the nearest 100?
1700
Round 0.027206 to five decimal places.
0.02721
What is 34.7877 rounded to 1 decimal place?
34.8
Round 29702370 to the nearest 100000.
29700000
Round 0.0000522131 to 5 decimal places.
0.00005
What is 1.88968 rounded to 2 dps?
1.89
Round 0.035637491 to 2 decimal places.
0.04
Round 0.017773217 to 3 decimal places.
0.018
What is -0.369641 rounded to three decimal places?
-0.37
Round -27217400 to the nearest 100000.
-27200000
What is 1052285.12 rounded to the nearest 1000?
1052000
Round 91484.5 to the nearest 100.
91500
Round 0.0179344 to three decimal places.
0.018
Round -80557.7 to the nearest one thousand.
-81000
What is -0.019514485 rounded to five decimal places?
-0.01951
What is -0.00013366044 rounded to seven decimal places?
-0.0001337
Round 905428000 to the nearest one million.
905000000
Round -918700 to the nearest 100000.
-900000
What is 259.7172 rounded to the nearest integer?
260
What is 1676530000 rounded to the nearest 1000000?
1677000000
Round -249064000 to the nearest 1000000.
-249000000
Round -1593881.7 to the nearest 10000.
-1590000
Round 4514600 to the nearest 100000.
4500000
Round 0.00806827 to four decimal places.
0.0081
What is 0.00002865165 rounded to six decimal places?
0.000029
What is 0.000001145799 rounded to 6 dps?
0.000001
What is 0.010032473 rounded to 3 decimal places?
0.01
Round -0.00001097942 to six decimal places.
-0.000011
What is -0.00000782949 rounded to 6 decimal places?
-0.000008
Round -10.82546 to 2 decimal places.
-10.83
Round 1697084.8 to the nearest 10000.
1700000
What is -10.209 rounded to 1 dp?
-10.2
What is 1833.789 rounded to the nearest 100?
1800
Round 8408.653 to the nearest 10.
8410
Round 0.2002144 to 1 dp.
0.2
Round -75046300 to the nearest 1000000.
-75000000
What is 6436752000 rounded to the nearest 1000000?
6437000000
What is 19190590 rounded to the nearest one million?
19000000
What is -0.0484583 rounded to three decimal places?
-0.048
What is -0.0002424096 rounded to 7 decimal places?
-0.0002424
What is 6790650 rounded to the nearest ten thousand?
6790000
What is 78497302 rounded to the nearest ten thousand?
78500000
What is 0.0004036409 rounded to five dps?
0.0004
Round 18660200 to the nearest 1000000.
19000000
What is 504464.5 rounded to the nearest 1000?
504000
Round 0.4426569 to three dps.
0.443
What is 0.010444225 rounded to four dps?
0.0104
Round -0.00009396328 to 6 decimal places.
-0.000094
What is -2765.111 rounded to the nearest 100?
-2800
Round 1146.51 to the nearest 10.
1150
What is -0.002164036 rounded to 6 dps?
-0.002164
What is -23581600 rounded to the nearest one hundred thousand?
-23600000
Round 0.0185769 to 4 dps.
0.0186
Round 0.0004124208 to four dps.
0.0004
What is 3.529996 rounded to three dps?
3.53
Round -0.01385171 to 5 dps.
-0.01385
What is -0.004685284 rounded to three decimal places?
-0.005
What is -0.0000076411395 rounded to six dps?
-0.000008
What is -1503671000 rounded to the nearest one million?
-1504000000
Round -90.96525 to zero dps.
-91
What is -0.002875994 rounded to five dps?
-0.00288
Round 12.55145 to 1 decimal place.
12.6
Round 7798267 to the nearest 10000.
7800000
Round -28.96 to the nearest 100.
0
What is -0.01204267 rounded to four dps?
-0.012
What is 20.828976 rounded to 2 dps?
20.83
Round 82842690 to the nearest 100000.
82800000
What is 0.05047999 rounded to three dps?
0.05
What is -151.915 rounded to the nearest 10?
-150
What is 266.384 rounded to the nearest ten?
270
What is 1452333 rounded to the nearest 1000?
1452000
What is 0.0000486128 rounded to six dps?
0.000049
Round 1146023 to the nearest ten thousand.
1150000
What is -7017788 rounded to the nearest 10000?
-7020000
Round -5.38529 to 2 decimal places.
-5.39
Round 3.066343 to three dps.
3.066
Round -553641.21 to the nearest 10000.
-550000
What is -305422 rounded to the nearest 10000?
-310000
Round -1230000 to the nearest 100000.
-1200000
Round 271597.81 to the nearest one thousand.
272000
Round -976421.6 to the nearest 10000.
-980000
What is 1.183792 rounded to 2 dps?
1.18
Round 0.00046269 to five dps.
0.00046
Round -0.00035132656 to five decimal places.
-0.00035
Round 0.01381126 to 3 decimal places.
0.014
Round -0.0004052 to 6 decimal places.
-0.000405
Round -96516.6 to the nearest one thousand.
-97000
Round -0.000781039 to 4 decimal places.
-0.0008
What is 0.0549182 rounded to three decimal places?
0.055
What is -0.0194286 rounded to 3 decimal places?
-0.019
What is -2.64134 rounded to 1 dp?
-2.6
Round 0.000594792 to five decimal places.
0.00059
Round -0.0026606887 to four decimal places.
-0.0027
What is -0.0822351 rounded to 2 decimal places?
-0.08
What is -3.90932 rounded to two dps?
-3.91
Round -0.0000453321 to 6 decimal places.
-0.000045
Round -0.028261418 to five decimal places.
-0.02826
What is 1044740 rounded to the nearest 10000?
1040000
What is 0.000008743058 rounded to 7 dps?
0.0000087
Round -0.0105052 to four dps.
-0.0105
What is -927237000 rounded to the nearest 1000000?
-927000000
What is 3.198038 rounded to three decimal places?
3.198
What is -55.8887 rounded to 1 decimal place?
-55.9
Round -0.02875924 to 4 decimal places.
-0.0288
What is 29.225964 rounded to 2 decimal places?
29.23
Round 390810 to the nearest one thousand.
391000
Round 4176.551 to the nearest 100.
4200
Round -0.0000351902 to six dps.
-0.000035
Round -1198.11006 to the nearest 10.
-1200
Round 0.0000197589 to 6 dps.
0.00002
Round -69.32689 to 1 dp.
-69.3
What is 38237030 rounded to the nearest 100000?
38200000
Round -10.628187 to 0 decimal places.
-11
Round 98.4785 to the nearest integer.
98
What is 3997397 rounded to the nearest 1000?
3997000
What is -880481.45 rounded to the nearest 100000?
-900000
What is -138661400 rounded to the nearest 100000?
-138700000
Round 682.23067 to 1 decimal place.
682.2
Round 24606.32 to the nearest 10.
24610
What is 1868.602 rounded to the nearest 100?
1900
What is 0.0000013087623 rounded to six dps?
0.000001
What is -0.00000318971 rounded to seven dps?
-0.0000032
Round -0.177403 to four dps.
-0.1774
What is -616166100 rounded to the nearest one million?
-616000000
What is 0.636871 rounded to 3 decimal places?
0.637
What is 0.815363 rounded to three decimal places?
0.815
Round 54.5625 to the nearest integer.
55
What is 63579.05 rounded to the nearest 1000?
64000
Round -0.00047640352 to five dps.
-0.00048
Round 0.0000368822 to six dps.
0.000037
What is -0.000116364
|
{
"pile_set_name": "DM Mathematics"
}
|
ird biggest value in m, v, 2/9?
v
Suppose 3*r = -2*r. Suppose -3 = -s, 2*d - 5*s - 2 + 11 = r. What is the third biggest value in d, 0.5, 1/5?
1/5
Let n = -70 + 66. Let c = -123 + 116.7. Let k = c - -6. What is the smallest value in 2/15, k, n?
n
Let n be (-1)/(3 - (0 - -10)). What is the second smallest value in n, -0.06, 0.2?
n
Let c = 0.62 + -0.6. Let q = -0.22 + c. Let j = -0.1 - q. What is the third biggest value in j, -0.5, -0.1?
-0.5
Let s = 2 - 3. What is the third biggest value in -4, -2/11, s, -8/5?
-8/5
Let x = 9 - 6. Let b = 0.3 - 0.6. What is the third biggest value in b, x, -4?
-4
Let o = 1.99 + 0.01. Let k = 0 - o. Let j = 1.2 - 1. What is the smallest value in 1, j, k?
k
Let f = 4.7 - 4.2. Let z = 4/11 + -34/33. Which is the third biggest value? (a) -3 (b) f (c) z
a
Let l be 1*(-5)/((-15)/6). Let w be l/(-5) + 189/35. Let s = 8 - 6. Which is the second biggest value? (a) s (b) 1 (c) w
a
Suppose -2*h = 3*t + t + 16, 2*t + 20 = -4*h. What is the fourth biggest value in 0.2, -0.07, t, -0.4?
t
Let j = -4 - -4.4. Let q = 2.95 + 0.05. Let p = 4 - q. What is the third biggest value in -5, j, p?
-5
Let o = 5.4 + -0.4. Which is the second smallest value? (a) 3 (b) o (c) 0.5 (d) -0.1
c
Let j = -0.15 + 0.5. Let r = 0.05 - j. Which is the biggest value? (a) -0.5 (b) r (c) 2/13
c
Let d = -0.29 + -0.01. Let p = -0.59 + -0.11. Let q = p - d. What is the biggest value in q, 5, 1/5?
5
Suppose 4*x + 4 = -5*g - 41, 0 = -x - 4*g - 25. Let d = 8 + x. Suppose -3*o = 0, 0 = d*n + o + 4*o. Which is the smallest value? (a) n (b) 2/9 (c) -1/2
c
Let u(p) = 5*p. Let t be u(1). Suppose -4*s + 3 - 16 = -t*r, -r = 5*s - 20. Suppose -s*d = 9 + 6. Which is the smallest value? (a) 0.5 (b) d (c) 2
b
Let x = 19.3 + -18. Let y = -1.7 + x. What is the third biggest value in -0.2, y, 4?
y
Let y = -4.3 - -4.2. Let r be ((3/(-2))/3)/1. Which is the biggest value? (a) y (b) 1 (c) r
b
Let m = -0.44 - -0.14. Let n = 5 + -4.4. Let p = m + n. Which is the second biggest value? (a) -5 (b) p (c) -0.1
c
Let i(n) = -n**3 - 1. Let o(v) = 3*v**3 + 2*v**2 - 3*v - 3. Let h(w) = -2*i(w) - o(w). Let p be h(-3). Which is the biggest value? (a) p (b) -3 (c) 0
a
Let v = 8.89 - 9. Let t = v - 0.19. Which is the second biggest value? (a) t (b) 0.5 (c) 4
b
Let y = -554 - -804. Let v = 247.99 - y. Let c = -0.01 - v. What is the third smallest value in c, -2/7, -0.2?
c
Let u = 0.08 - -2.92. Let p = 1 + -0.5. Let q = -7/18 - -2/9. Which is the third smallest value? (a) u (b) q (c) p
a
Let t = 2 + 0. Let y = 6 + -3. Let f = y - t. Which is the second biggest value? (a) -2 (b) f (c) 5
b
Let p = 21 + -16. What is the second biggest value in -0.06, -5, p?
-0.06
Let m = 598.11 + -602. Let v = 0.11 - m. Let h = v + -4.5. What is the second biggest value in h, -1, -2/5?
h
Suppose -y = -4*y. Let f(l) = -l**2 + 5*l + 4. Let r be 22/4 - (-1)/(-2). Let j be f(r). Which is the third smallest value? (a) y (b) -0.1 (c) j
c
Let x = -5 - -21. Let p = x - 16.4. What is the third smallest value in 5, 3, p?
5
Let c = 15.7 + -8. Let i = c + -8. Let u = -0.5 - -0.4. What is the biggest value in i, u, 4?
4
Let y = -1311/10 - -131. Let t(g) = g**3 + 3*g**2 - g - 2. Let c be t(-3). Let m be (c/(-12))/((-2)/(-4)). What is the biggest value in y, m, -1/7?
y
Let u = -31 + 30.8. Let k = -218/3 + 72. Let h be (-4 + 3)/(38/(-4)). Which is the second smallest value? (a) u (b) k (c) h
a
Let r = -28 + 22.5. Let g = r - -5. Let j be (-10)/14 + -1 - -2. What is the third biggest value in j, g, 0.4?
g
Let v = 139 + -971/7. Let j = 0.04 - 0.54. Which is the third biggest value? (a) v (b) 1/3 (c) j
c
Let u = 0.3 + 3.7. Let k = -4 + -1. Let i = k + u. Which is the biggest value? (a) -4 (b) i (c) 0
c
Let c = -0.04 + -0.01. Let b = c + 0.15. What is the third biggest value in 2/9, b, -0.5?
-0.5
Let l = -18.4 + 18. Which is the smallest value? (a) -0.1 (b) l (c) 2/7
b
Let o = -6.7 - -7.7. Let l = -6 + 2. What is the second smallest value in 0, o, l?
0
Let t = 8 + -7.7. Let r = 2.9 - -0.1. What is the third smallest value in 6/7, t, r?
r
Let g = -4.01 + 0.01. Let s = 3.2 + g. Let v = 0.86 + s. Which is the second smallest value? (a) v (b) -3 (c) -0.1
c
Let w = 0.1 + -1.1. Let m = 6.98 + 0.02. Let n = m + -3. Which is the third biggest value? (a) 5 (b) w (c) n
b
Let m = 95 - 99. Suppose -y + 5 = 1. What is the biggest value in y, m, -4/9?
y
Let v = 0.8 - 0.8. Let m = 2 + v. Which is the biggest value? (a) 0.5 (b) m (c) 0.2
b
Let j be ((-3)/(-9))/(64/(-6)). Let k = j + 67/96. What is the biggest value in -1, k, 0?
k
Let y = -0.58 + -0.12. What is the second smallest value in -0.3, y, 0.2?
-0.3
Let p be (-5)/((-15)/(-9)) - 2. Let t = -0.3 + 0.32. Let d = -0.28 - t. What is the third biggest value in p, 3, d?
p
Let k = -0.2 + 0.23. Let o = -0.23 + k. What is the third biggest value in -4, -2, o?
-4
Let s = -30 + 34. What is the third smallest value in -0.5, 2, s?
s
Let t = -9 + 3. Let k = -6 - t. What is the biggest value in -0.1, k, -4?
k
Let j = -455 - -5011/11. Which is the fourth biggest value? (a) j (b) 2 (c) 0.3 (d) 0.5
c
Let o be (-3)/2*28/(-231). Which is the second smallest value? (a) 2/5 (b) -13 (c) o
c
Suppose -4*y = -5*l - 0*y + 5, 4*l - 4*y - 4 = 0. Let j = -125 + 1501/12. Let o = -19/60 - j. What is the third biggest value in 0, l, o?
o
Let q = 4 + 7. Let w = q + -13. Which is the second smallest value? (a) 2 (b) w (c) 0.5
c
Let d = 9346 - 56279/6. Let u = d + 34. Suppose 15 = 5*k + 3*l, 3*k + l = -k + 5. Which is the third smallest value? (a) k (b) 1/4 (c) u
b
Let s = 13 + -13.05. Which is the smallest value? (a) 3/4 (b) -4 (c) s
b
Let m = -1/65 + -61/260. Which is the third biggest value? (a) -1.4 (b) m (c) 0.5
a
Let r = -1.6 - 2.4. What is the second smallest value in r, -0.4, -6?
r
Let b = -1096/7995 - -2/533. What is the second biggest value in -2, 0.5, 0, b?
0
Let t = 0 + 5. What is the second biggest value in -5, t, 2?
2
Let z = 0.17 + 0.03. Let g = -5.9 + 5.7. Which is the third biggest value? (a) g (b) -5 (c) z
b
Let m = 89 + -89.3. Which is the second biggest value? (a) m (b) 1 (c) -0.02 (d) -2
c
Let b(t) = -t**2 + 8*t + 5. Let p be b(8). What is the biggest value in p, 1, 0?
p
Let l = -13 + 6. Let c = l + 7.2. What is the third smallest value in 0.3, c, -0.2?
0.3
Let j = 3.06 - 3. Let x = j + -0.06. Let y = 2 + x. Which is the smallest value? (a) -1/2 (b) y (c) 1
a
Let y be (16/228)/(2*2/6). What is the second smallest value in 4, 2, y, 1?
1
Let l be (7 - 1) + 1 + -3. Suppose l*o = 2*n - 26, 4*o + 27 = 4*n - 5. Let k = 46 + -50. What is the smallest value in 4, o, k?
o
Let y = 11 - 9. What is the biggest value in 1, y, -5?
y
Let o = -5 + 10. Let r = -8 + 8.3. Let b = 0.1 - r. What is the biggest value in -4, b, o?
o
Let o be (2/(-4))/((-10)/8). Let h = 154 - 301/2. Which is the third smallest value? (a) o (b) h (c) -1
b
Let u be (-3)/(-3)*0/6. Let g(q) = q - 3. Let n be g(u). Which is the smallest value? (a) n (b) 0.4 (c) -3/7
a
Suppose 5*b = -2 + 72. Suppose 3*t + b = 29. What is the biggest value in -2/11, 0.2, t?
t
Let s = 5.3 - 5. Let z = 29 - 21. Let h = z + -7.5. What is the third biggest value in h, s, -1?
-1
Let l = 0.1 + 0.1. Let m(o) = o**2 - 1. Let x be m(1). Which is the third smallest value? (a) 3 (b) l (c) x
a
Let k = 0.8 + -0.4. Suppose 5 = p - 3*h + h, 5*p - h - 16 = 0. What is the third biggest value in k, 4, p?
k
Let y = 0.29 + -0.59. Let v = 43/56 - 5/8. Which is the third smallest value? (a) v (b) 0.06 (c) y
a
Let g = 0.04 + 0.26. Let y(u) = u**2 + u - 24. Let k be y(0). Let s be k/15 - (-6)/(-15). Which is the third smallest value? (a) s (b) g (c) -4
b
Let t = 112.92 - 117. Let a = 0.26 - 0.34. Let c = t - a. What is the second smallest value in -2/7, c, 0.3?
-2/7
Let i = -28 - -31. What is the third smallest value in -1, 0.3, i?
i
Let m = -628/7 - -90. What is the second smallest value in -0.4, 4, m?
m
Let v = 11 + -10. Which is the biggest value? (a) 2 (b) -2 (c) v
a
Let b be (6/(-40))/(1/(-4)). Let f = -21821/72700 + 51/727. Let t = f + -1/50. What is the biggest value in 0.2, b, t?
b
Let f = 0.1 + -0.5. Let w = 2 - -3. What is the second biggest value in w, 0, f?
0
Let q = 47/6
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the third derivative of -1 - 2*z**5 + 137*z**4 - i*z**4 - 118*z**2 + 1 + 0 wrt z?
-120*z**2 + 768*z
Let c(s) be the first derivative of 43*s**2/2 - 494*s + 1404. Find the first derivative of c(q) wrt q.
43
Let q(r) be the third derivative of 235*r**6/24 - 2*r**5/15 + 5*r**3/6 - 6*r**2 - 93*r. What is the third derivative of q(h) wrt h?
7050
Let c(g) be the third derivative of 0*g**3 + 0 + 21/20*g**5 - 3*g - 24*g**2 + 115/12*g**4. What is the second derivative of c(h) wrt h?
126
Let f(n) be the third derivative of -2921*n**4/8 + 1380*n**3 - 1247*n**2. What is the first derivative of f(x) wrt x?
-8763
Find the second derivative of -8681*q + 2901*q + 3197*q + 3130*q + 262*q**4 wrt q.
3144*q**2
Let z(k) be the third derivative of -1/20*k**5 + 0*k + 22*k**2 + 0 - 7/24*k**4 + 31/6*k**3. Differentiate z(v) with respect to v.
-6*v - 7
Let v(w) be the third derivative of -1/105*w**7 + 0*w**3 + 7/12*w**4 + 32*w**2 + 17/60*w**5 + 0*w**6 + 0 + 0*w. What is the second derivative of v(t) wrt t?
-24*t**2 + 34
Differentiate -988 - 7595*r - 3322 + 1364*r + 100 with respect to r.
-6231
Let d = 48 + -102. Let s be 2/10 - d/30. What is the second derivative of 6*r - 18*r - 5*r**s + 14*r - 31*r wrt r?
-10
Let o = -869 + 916. What is the second derivative of 83*p - 6*p**2 + 170*p - o*p + 18*p wrt p?
-12
Let h be 136 + (0/(-7))/2. What is the second derivative of 5*a**3 - 2*a - h*a**2 - 23 + 3*a + 73*a**2 + 65*a**2 wrt a?
30*a + 4
Let z(a) = -2 + 0*a**2 + a**2 + 6 - 3. Let b(r) = 25*r**3 + 2*r**2 - 61. Let i(k) = -b(k) + 2*z(k). What is the first derivative of i(p) wrt p?
-75*p**2
Let n(u) be the second derivative of 1/20*u**5 + 0*u**4 + 0*u**2 + 5/2*u**3 + 0*u**6 + 0 + 19/42*u**7 + 18*u. Find the second derivative of n(o) wrt o.
380*o**3 + 6*o
Let a(p) = 4572*p**2 + 205*p. Let o(d) = -1143*d**2 - 50*d. Let i(y) = -2*a(y) - 9*o(y). Find the second derivative of i(f) wrt f.
2286
Let r(h) be the first derivative of 1029*h**2/2 - 907*h - 1233. Differentiate r(i) with respect to i.
1029
Find the first derivative of -383*z - 321 + 611*z - 378*z + 626*z + 727*z wrt z.
1203
Let f = 3307 - 3286. Let w = -12 - -24. What is the derivative of -21*s + f*s - 4*s**4 - w wrt s?
-16*s**3
Let c(s) be the first derivative of -4037*s**3/3 - 493*s**2 - 2058. Find the second derivative of c(f) wrt f.
-8074
What is the third derivative of 5*h**2 + 207*h + 118*h**3 + 194*h + 2*h**4 - 424*h wrt h?
48*h + 708
Differentiate -58*p - 11590 + 24388 - 11390 - 156*p with respect to p.
-214
Let a(m) be the second derivative of 435*m**8/56 - 2*m**4 - 19*m**2/2 - 808*m. Find the third derivative of a(u) wrt u.
52200*u**3
Let m = -2576 - -2578. Let q(t) be the second derivative of 0 + 0*t**3 + 0*t**4 - t - 17/30*t**6 + 0*t**5 - 8*t**m. Differentiate q(u) with respect to u.
-68*u**3
Let z(j) = 3 - 3*j**2 - 11*j - j**2 - 2*j**2 + 5*j**2. Let k be z(-11). Differentiate 20*p**3 + 22*p**k - 40*p**3 - 12 with respect to p.
6*p**2
Let f = -112 - -126. Suppose 0 = -2*a + f - 0. Find the second derivative of -30*z**4 - 20*z + 7*z**2 - a*z**2 wrt z.
-360*z**2
Let m(x) = 2*x**2 + 13*x + 30. Let y be m(-13). What is the second derivative of -3183 + 3090 + 52*q**2 - y*q**2 + q - 2*q**4 wrt q?
-24*q**2 - 294
Let p = 181 + -51. Suppose -4*u + 5*w + 85 = -500, u - p = -2*w. What is the second derivative of -u*s - 3*s**3 + 87*s + 66*s wrt s?
-18*s
Let c = 50 + -17. Suppose c = 6*d + 9. What is the derivative of -o + o + 21*o**d - 6 - 30*o**4 wrt o?
-36*o**3
Suppose 3*o + 4 = 2*z, 4*z = -6*o + 7*o + 18. Find the second derivative of -o*p**2 - 56*p**5 - 21*p + 7*p**2 - 5*p**2 wrt p.
-1120*p**3
Let l(b) be the third derivative of 0*b**5 + 5/24*b**6 - 2*b**2 + 67 + 0*b**3 - 1/105*b**7 + 23/12*b**4 + 0*b. What is the second derivative of l(g) wrt g?
-24*g**2 + 150*g
Let k(j) = -j**3 + 18*j**2 - j + 22. Suppose 2*s - 198 = -9*s. Let h be k(s). Find the second derivative of 76*x**3 - 28*x**h - 76*x**3 + 29*x wrt x.
-336*x**2
What is the derivative of -34*b**2 - 472 + 241 - 955 + 39*b**4 - 315 wrt b?
156*b**3 - 68*b
Let n(z) = -6*z**3 - 3*z**2 + 2*z + 4. Let k be n(-2). Suppose 0 = 39*q - 43*q + k. What is the first derivative of 26 - 11*b + 4*b**2 + q*b**2 + 11*b wrt b?
26*b
Let t(r) = 1007*r**3 - 8*r**2 - 516. Let j(v) = 2013*v**3 - 17*v**2 - 1032. Let w(q) = 6*j(q) - 13*t(q). What is the third derivative of w(c) wrt c?
-6078
Let a(v) be the third derivative of 0*v - 5/3*v**4 + 49*v**2 - 16/15*v**5 + 0 + 0*v**3. Find the second derivative of a(c) wrt c.
-128
What is the first derivative of -1106 + 415 - 31*o**3 + 121 - 3156 - 13*o**4 - 14 wrt o?
-52*o**3 - 93*o**2
Let g(z) be the second derivative of -3967*z**5/20 - 4953*z**2 - 7983*z. Differentiate g(s) with respect to s.
-11901*s**2
Suppose 77 = 5*n - w - 22, 2*w = 5*n - 103. Find the second derivative of -4*z**2 - n*z**4 - 204*z - 2*z**2 + 2*z**3 + 15*z**4 + 6*z**2 wrt z.
-48*z**2 + 12*z
Let x(i) = -i**2 - 18*i + 5. Let j be x(-10). Let h = j + -47. Find the second derivative of -34*t**4 + h*t**4 - 7*t + 2*t - 8*t wrt t.
48*t**2
Suppose 3*a - 3 = -3*n, -2*a + 0*n = 5*n + 10. Differentiate a*p - 13 + 33 - 70*p + 3*p**4 - 12 wrt p.
12*p**3 - 65
Suppose 4*x = 12*y - 7*y - 1966, -x + 386 = y. Find the second derivative of 0*q + 51*q**3 + y*q**4 + q - 388*q**4 + 2 wrt q.
24*q**2 + 306*q
Let h(u) = u**2 + 11*u - 9. Let g be h(-15). Let y be 108/g + 2/(-17). Differentiate 16 - y - 3 + 3*r**3 wrt r.
9*r**2
Suppose 0 = o - 3, 0 = 4*d + 8*o - 4*o - 38088. Find the third derivative of d*j**5 - 5*j**2 - 39*j**2 + 8*j**4 - 9514*j**5 wrt j.
300*j**2 + 192*j
What is the second derivative of 2800*c + 181*c**3 - 5607*c - c**2 + 2793*c + 3 + c**2 wrt c?
1086*c
Let d(a) be the first derivative of -107/3*a**3 + 60/7*a**7 + 93 + 0*a**5 + 0*a**2 + 0*a + 0*a**4 + 0*a**6. What is the third derivative of d(o) wrt o?
7200*o**3
Let o(j) = j - 39. Let v be o(39). What is the third derivative of 19*h**3 + h**2 - h + v*h**2 - 2*h**2 + 14*h**3 wrt h?
198
Let a = -212 + 312. Find the second derivative of a*f + 83*f - 145*f**2 - 112*f wrt f.
-290
Let a(k) = k + 6. Let n be a(0). Suppose 5*y = n*y - 11. What is the second derivative of 4*j**4 + 8*j - 12*j - 10*j**4 - y*j wrt j?
-72*j**2
Let g be 14/21 + -2 + (-4)/(-3). Suppose 0*w - 4*w + 36 = g. What is the third derivative of 29*n**4 + 36*n**4 - 78*n**4 + w*n**2 wrt n?
-312*n
Suppose -2*t = 3*i - 8*i - 361, 0 = 5*t - 3*i - 931. Suppose 200 = 4*w - t. Find the second derivative of 19*s**4 - 8*s - w*s**2 + 97*s**2 wrt s.
228*s**2
Let x = 53 + -49. Find the second derivative of -7*a + 104*a**x - 51*a + a - 7*a wrt a.
1248*a**2
Let k = -38 - -195. Find the second derivative of 125*u + 87 - 87 + 46*u**2 - k*u**2 wrt u.
-222
Differentiate -2662*q - 1165 + 404 - 2*q**2 + 824*q + q**2 with respect to q.
-2*q - 1838
Let l(b) be the first derivative of -406*b**6/3 + b**4/2 + b**3/3 + b**2 - 3792*b - 9574. What is the second derivative of l(g) wrt g?
-16240*g**3 + 12*g + 2
Let w(o) = -2 + 3*o**2 - o**3 - o + 0*o**3 - 9*o**2. Let l be w(-6). Find the third derivative of 27*q**2 - 3*q**l - 8*q**2 - 3*q**4 wrt q.
-144*q
Let l(k) be the first derivative of 127*k**5 - 199*k**2/2 - 3*k + 187. Find the second derivative of l(d) wrt d.
7620*d**2
Let i = 80 + -130. Let p = i - -53. Find the second derivative of -15*g**p - 16*g**3 + 9*g + 31*g**3 - 13*g**4 wrt g.
-156*g**2
Suppose -2*f = p - 3*f - 4, 3 = 2*p + 3*f. Find the third derivative of 15*g**2 + p*g**2 - 63*g**4 - 3*g**4 wrt g.
-1584*g
Let i(o) = -23*o**2 - 9*o - 3. Let q(m) = -7*m + 29*m + 6*m + 8 + 70*m**2. Let b(w) = 7*i(w) + 2*q(w). What is the second derivative of b(t) wrt t?
-42
What is the first derivative of -761 - 323*j - 702*j + 2*j wrt j?
-1023
Let l(g) be the third derivative of 172*g**2 + 0*g - 7/24*g**6 + 0*g**5 - 1/4*g**4 + 0 - 7/6*g**3. What is the second derivative of l(v) wrt v?
-210*v
Let l = 482 + -472. Differentiate -3 - l + 29 + 14*n wrt n.
14
Let r(t) be the first derivative of 2/3*t**3 - 9 - t - 7/2*t**2. What is the first derivative of r(b) wrt b?
4*b - 7
Let p(m) = -7*m**3 - m**2 - 3*m - 9. Let j be p(-3). What is the second derivative of 2*v + 27*v**2 - 11 + j*v**2 + 75 wrt v?
414
Let j(n) be the first derivative of -n**6/3 + n**4/2 - 44*n**3/3 - 741*n**2 - 5478. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
ollect the terms in -152336104*g - 18*g**2 + 152336104*g.
-18*g**2
Collect the terms in 58452*l**3 - 3 + 3 - 58471*l**3 - 29*l + 29*l.
-19*l**3
Collect the terms in 32637*o**2 + 32628*o**2 + 2*o**3 - 1 - 97895*o**2 + 1510*o + 32630*o**2.
2*o**3 + 1510*o - 1
Collect the terms in 3*u - 8*u + 3*u - 60 + 6*u - 54.
4*u - 114
Collect the terms in 634810*u**3 - 158425*u**3 + 15321*u**3.
491706*u**3
Collect the terms in 455916 - 912096 - 89*w**3 + 456180 + 90*w**3.
w**3
Collect the terms in 5*r**3 - 4*r**2 - 1786442 - 2*r**2 + 1786442 + 6*r**2.
5*r**3
Collect the terms in -9*d**2 - 7909*d**3 - 14*d**2 + d**2 - 2*d**2 + 25*d**2.
-7909*d**3 + d**2
Collect the terms in 14*i + 31*i + 6*i + 8*i + 8*i - 109*i.
-42*i
Collect the terms in -31 - 204*d**3 + 34*d**2 + 69 + 196*d**3 - 38.
-8*d**3 + 34*d**2
Collect the terms in 137909*z + 342370*z - 77738*z - 6294*z.
396247*z
Collect the terms in 531 - 1436 + 29*o**3 + 914 - 27*o**3.
2*o**3 + 9
Collect the terms in 1493759*l**3 - 96 + 96 - 1493772*l**3.
-13*l**3
Collect the terms in 26303647357*w**2 - 26303647357*w**2 - w**3.
-w**3
Collect the terms in -5801*i**2 - 80752*i**2 + 4005*i**2 - 76186*i**2.
-158734*i**2
Collect the terms in 161*l**2 + 152*l**2 - 558*l**2 + 2*l + 230*l**2 - 2*l.
-15*l**2
Collect the terms in 20930 - 15238*m - 16056*m - 20930.
-31294*m
Collect the terms in -6*o**2 - 5*o**2 - 5*o**2 + 16*o**2 - 2353*o**3.
-2353*o**3
Collect the terms in -30297*i - 30294*i + 90910*i - 30295*i.
24*i
Collect the terms in -59*i**2 + 44547*i - 89233*i + 44686*i.
-59*i**2
Collect the terms in 4014 - 7701 + 9*d + 3687.
9*d
Collect the terms in 23587*t**3 + 23634*t**3 - 47036*t**3.
185*t**3
Collect the terms in -5*f**2 - 725*f + f**2 + 4*f**3 - 722*f - 737*f + 2184*f.
4*f**3 - 4*f**2
Collect the terms in 130*w - 257*w - 537*w**2 + 125*w - 4 + 2 + 4345*w**2.
3808*w**2 - 2*w - 2
Collect the terms in 306664*u**3 + 2523772*u**3 - 395472*u**3.
2434964*u**3
Collect the terms in 10560548416 + 140*w**2 - 140*w**2 - 10560548416 + 13*w**3.
13*w**3
Collect the terms in 62518*q + 62525*q - 187565*q - 21*q**3 + 62522*q.
-21*q**3
Collect the terms in -110125*s**2 - 18171*s**2 - 379018*s**2.
-507314*s**2
Collect the terms in 429*m**2 + 1 - 146*m**2 - 23*m**2.
260*m**2 + 1
Collect the terms in 332*i**2 - 986*i**2 + 334*i**2 - 51*i + 51*i + 326*i**2.
6*i**2
Collect the terms in -562 - 540 + 1119 + 5*i.
5*i + 17
Collect the terms in -83636*k + 167229*k - 83628*k.
-35*k
Collect the terms in -23*o**3 - 32674040*o**2 + 32674040*o**2.
-23*o**3
Collect the terms in -179693168 - 3*v + 179693168.
-3*v
Collect the terms in 2661396374 - 5322792765 + x + 2661396391.
x
Collect the terms in 28*a + 39*a - 66*a + 55*a - 56*a + 64*a.
64*a
Collect the terms in 4976990*d**3 + 3801833*d**3 - 1216080*d**3 - 470315*d**3.
7092428*d**3
Collect the terms in -2942*s**3 - 178*s**3 + 679*s**3.
-2441*s**3
Collect the terms in 323*l - 72*l - 194*l - 56*l + 2285.
l + 2285
Collect the terms in 1840*s + 1731*s + 1667*s - 5457*s.
-219*s
Collect the terms in -1211 - 18*j + 1223 + j - 5*j.
-22*j + 12
Collect the terms in 878*g**2 + 147 - 71 - 150*g - 72 + 150*g.
878*g**2 + 4
Collect the terms in -249*j**2 + 68*j**2 - 4*j + 2*j + 441*j**2 - 255*j**2.
5*j**2 - 2*j
Collect the terms in -30*f - 55*f + 20*f**2 - 128 + 134.
20*f**2 - 85*f + 6
Collect the terms in 16 - 109 - 3*l**2 + 37 - 139 + 195.
-3*l**2
Collect the terms in -333558282*t**3 - 24*t**2 + 24*t**2 + 333558248*t**3.
-34*t**3
Collect the terms in -7*n + 39*n - 17*n + 4229*n**2 - 4*n - 11*n.
4229*n**2
Collect the terms in -1139*w**3 + 11974*w**3 - 50041*w**3 - 28722*w**3.
-67928*w**3
Collect the terms in 3*w - 16*w - 18589*w**3 + 18604*w**3 + 13*w.
15*w**3
Collect the terms in 1402*b**2 + 1402*b**2 - 2806*b**2 - 37*b - 39*b - 8*b.
-2*b**2 - 84*b
Collect the terms in -59 - 64 - 59 + 127066*t**3 + 182.
127066*t**3
Collect the terms in -83*v - 72*v + 224*v - 68*v - 15 - 20.
v - 35
Collect the terms in 2*d**3 - 50*d**3 - 80*d + 9*d**3 + 55*d + 25*d.
-39*d**3
Collect the terms in 197*y - 76*y + 372*y + 1.
493*y + 1
Collect the terms in -2972*x**2 + 5894*x**2 - 2821*x**2.
101*x**2
Collect the terms in -827520*i - 246*i**2 + 413764*i + 413760*i.
-246*i**2 + 4*i
Collect the terms in 169*p - 7*p - 15*p - 114*p - 21*p - 12*p - 6*p.
-6*p
Collect the terms in 12*w - 43*w**2 - 47*w**2 - 46*w**2 - 61*w**2 - 51*w**2 + 247*w**2.
-w**2 + 12*w
Collect the terms in -13679 + 12*a**2 + 0*a**2 - 19947.
12*a**2 - 33626
Collect the terms in -14414*i + 114047 - 57023 - 57024.
-14414*i
Collect the terms in -83*i + 2131 - 2131 - 116*i - 45*i.
-244*i
Collect the terms in -289*g**2 - 15534*g + 15386*g + 288*g**2.
-g**2 - 148*g
Collect the terms in 2029*u**2 - 4125*u**2 + 1414*u**2.
-682*u**2
Collect the terms in 16*p**2 - 31*p**2 - 53*p**2 - 126*p**2.
-194*p**2
Collect the terms in -173704771*f**3 + 86852379*f**3 + 86852384*f**3.
-8*f**3
Collect the terms in -1754*g**3 + 275*g**3 - 531*g**3.
-2010*g**3
Collect the terms in 12252174*n**2 - 7 + 2 - 12252177*n**2.
-3*n**2 - 5
Collect the terms in 2 + 1355*f - 1353*f + 2627*f**2 - 2 - 2725*f**2.
-98*f**2 + 2*f
Collect the terms in -811971645 + 15*j + 811971645.
15*j
Collect the terms in 59 - 19 - 20 + 157*u - 24.
157*u - 4
Collect the terms in -433 + 1362 - 436 - 493 - 21*n.
-21*n
Collect the terms in 434*i**2 + 178 - 432*i**2 + 209 - 387.
2*i**2
Collect the terms in -297354*g**3 - 297323*g**3 + 892060*g**3 - 297362*g**3.
21*g**3
Collect the terms in -59 + 2*m + 256758*m**2 + 58 - 2*m.
256758*m**2 - 1
Collect the terms in 952*c**3 + 0 - 8*c + 0 - 7082*c**3.
-6130*c**3 - 8*c
Collect the terms in -268*q**3 + 856*q**3 - 274*q**3 - 311*q**3.
3*q**3
Collect the terms in -2011338 + 4022410 - 2011072 + 4*a**2.
4*a**2
Collect the terms in -3088579*m**2 + 1544227*m**2 + 1544364*m**2.
12*m**2
Collect the terms in 969*j**3 - 770*j**3 + 956*j**3 - 1160*j**3.
-5*j**3
Collect the terms in 6 + 156*x**2 - 46123*x - 15 + 9 + 46123*x.
156*x**2
Collect the terms in -2295562*m**3 - 2295563*m**3 + 4591117*m**3 - 1 - m + 1.
-8*m**3 - m
Collect the terms in 42 + 57 - 89 + 2 - 7*g + 61.
-7*g + 73
Collect the terms in -3671 + 921 - 270*b + 912 + 920 + 917.
-270*b - 1
Collect the terms in -143774*m**3 + 29857*m**3 - 57573*m**3.
-171490*m**3
Collect the terms in -101*s**3 - 22*s**3 - 49351821 + 49351821.
-123*s**3
Collect the terms in 105*c**3 + 98*c**3 - 309*c**3 - 81*c**3 - 359*c**3.
-546*c**3
Collect the terms in -2046*y + 6232*y - 3*y**3 - 2095*y + 4*y**3 - 2085*y.
y**3 + 6*y
Collect the terms in 306 + 369 - 1048 + 110*q**3 + 373.
110*q**3
Collect the terms in -6*w**2 + 34*w**2 - 38189 - 16*w**2 - 3*w**2 - 37994 + 76183 - 12*w**2.
-3*w**2
Collect the terms in 551 - 22*q + 1553 + 13*q.
-9*q + 2104
Collect the terms in -12*l - 2 - 276*l - 107*l + 4.
-395*l + 2
Collect the terms in q**3 + 149*q**3 + 154*q**3 + 149*q**3 - 186*q**3 + 68*q**3.
335*q**3
Collect the terms in -4983*z**2 + 20681*z**2 - 5269*z**2 - 5282*z**2 - 5237*z**2.
-90*z**2
Collect the terms in 102828*c**3 + 102827*c**3 - 205683*c**3 + 2*c + 5.
-28*c**3 + 2*c + 5
Collect the terms in -139610*i + 139610*i - 12*i**2 + 2524 + 10*i**2 - 2524.
-2*i**2
Collect the terms in -80*i + 1807 + 41*i + 1155 + 2*i**2 + 39*i.
2*i**2 + 2962
Collect the terms in -169*t**2 - 43*t + 43*t + 119 + 90*t**2 + 80*t**2.
t**2 + 119
Collect the terms in 1339*u**3 + 8336*u - 4158*u - 4178*u.
1339*u**3
Collect the terms in 1353745*f**2 - 4 + 4.
1353745*f**2
Collect the terms in 980*a - 173*a**2 - 78*a**2 - 26*a**2 + 1327*a.
-277*a**2 + 2307*a
Collect the terms in 761*z + 1 + 494*z - 68*z**3 - 1255*z.
-68*z**3 + 1
Collect the terms in -599*y - 23 + 328*y + 140*y + 133*y.
2*y - 23
Collect the terms in -130*o**2 + 1475341*o**3 + 0 + 0 + 130*o**2.
1475341*o**3
Collect the terms in -367 + 221*m**3 + 4*m + 367 + 11*m**3 - 5*m.
232*m**3 - m
Collect the terms in 16*p - 90*p + 10*p + 6*p + 6*p + 7*p + 57*p.
12*p
Collect the terms in 1001*q**2 + q**3 - 990 + 320*q**2 - 1321*q**2 + 990.
q**3
Collect the terms in -151*u - 147*u - 165*u - 159*u - 168*u + 822*u.
32*u
Collect the terms in -6*b**2 - 42007 + 42007.
-6*b**2
Collect the terms in 40*v**3 - 36*v**3 + v + 4669 + 5*v**2 - 6*v**2.
4*v**3 - v**2 + v + 4669
Collect the terms in -1114*f + 366*f - 7 - 12*f**2 + 372*f + 374*f + 7.
-12*f**
|
{
"pile_set_name": "DM Mathematics"
}
|
or c.
-3
Let d(z) = 2*z**2 + 3*z - 4. Let j(y) = y**3 + 4*y**2 + 7*y + 9. Let n be j(-3). Let m be d(n). Solve -22 = m*b - 2 for b.
-4
Let q be (-69)/(-9) + (-28)/(-21). Let b(w) = -w**2 + 8*w + 12. Let o be b(q). Solve 7*t - 4 = o*t for t.
1
Let s be (-3 - (-7 + 5))*-8. Solve -s*d = -20*d - 48 for d.
-4
Let n = -12 + 22. Let i = 12 - n. Solve 5*a = i*a for a.
0
Let i = 517 + -516. Solve 12*g - 23 - i = 0 for g.
2
Suppose -2*v = 4*k - 28, -4*v + 5*k - 40 = -7*v. Let h = 7 - 5. Solve 4*s - h = -v for s.
-2
Suppose 3*p + 0*p - 6 = 0. Let d = -417 + 425. Solve -p*o = -2 - d for o.
5
Let f(t) = 2*t**3 + 19*t**2 + 7*t - 18. Let q be f(-9). Let d be q + 2 + -5 - (6 - 13). Solve d = n - 2*n for n.
-4
Suppose 0 = 20*n - 4423 + 4023. Solve n*l = 10 - 50 for l.
-2
Let n be 984/16 + (-1)/(-2). Let b be n/15 + 4/(-30). Suppose 3*i + 69 = -c + 5*c, 0 = -4*c - 4*i + 76. Solve -b*f + c = -2 for f.
5
Suppose 18 - 3 = 3*c. Suppose -3*o - 5 = -4*o + c*i, o + 5*i - 5 = 0. Let h be 18/(-27) + (-4)/(-6). Solve h = -o*b + 1 - 21 for b.
-4
Suppose -3*b = -2*b. Let l = 174 - 170. Solve b = -2*m + l*m - 6 for m.
3
Suppose -36 = 2*o - 116. Suppose -m - 3*c = -o + 7, 5*c = 3*m - 43. Solve 5*b - m = -1 for b.
4
Suppose 3259 = 7*x + 1698. Solve x - 203 = -4*o for o.
-5
Let m(f) = 76*f**2 - 3*f + 4. Let x be m(1). Let o = x - 65. Solve 3*u + 9 = o for u.
1
Suppose a + 36 = -8*a. Let k(o) = -o**3 - 3*o**2 + 5*o + 4. Let m be k(a). Let n = 7 + -5. Solve -2*r + m*r - n = 0 for r.
-1
Let l(s) = -s**2 + 36*s - 143. Let y be l(5). Solve 0 = 4*r - y*r - 32 for r.
-4
Suppose -2*h + 3*h - 11 = -c, h - 3 = 0. Let t(x) = -x**3 + 9*x**2 - 4*x - 11. Let m be t(c). Suppose 1 - m = -5*v. Solve o + v*o + 20 = 0 for o.
-4
Suppose 0 = -150*n + 154*n - 4. Solve -6 = -7*i + n for i.
1
Suppose 0 = h - f + 3*f, -2 = f. Suppose u - 6*p = -p - 15, -2*p = -h. Let c be u*7/((-105)/6). Solve 6 + c = -4*b for b.
-2
Suppose -2*p = -5*m - 15, 3*p + 5*m + 0 = 60. Suppose p = 2*f + 3*f. Suppose 16 = f*n - 11. Solve -2*x + n = x for x.
3
Let p(s) = 5*s**2 - 3*s + 2. Let y be p(1). Suppose -y = -h, -4*u - 2 = 4*h - 30. Solve -15 = -2*z - u*z for z.
3
Let n(o) = -o - 5. Let u be (1 - 8 - 2) + 3. Let r be n(u). Let t be (0 - (0 - 2)) + r. Solve -j - 2*j - t = 0 for j.
-1
Suppose -39*u + 34*u + 15 = 0. Solve 5*h - 2 = u for h.
1
Let m(l) = -58*l**3 - l**2 + 4*l + 3. Let n be m(-1). Let a be n/26 - (-12)/(-78). Solve -a*b - b = 0 for b.
0
Let z be (1*(-1)/6)/((-36)/432). Solve -5*c + z*c - 2*c = 0 for c.
0
Suppose 0 = -5*g + 2*p + 4, -4*p + 3 = 3*g + 11. Solve g = f - 0*f + 5 for f.
-5
Suppose 0 = 18*j - 11*j - 28. Suppose -4*u + j = -8. Solve -k + u = 2 for k.
1
Let s(v) = -2*v + 98. Let j be s(35). Solve j = -3*t - 4*t for t.
-4
Suppose 0 = 5*m + 4*v - 95, -3*m + 4*m = -4*v + 3. Let r = m + -20. Solve -r*u + 1 = -2 for u.
1
Suppose -4*h - 60 = -3*w, 54*w - 2*h + 42 = 57*w. Solve -50*b + w = -42*b for b.
2
Suppose 21*x = 13*x - 14*x. Solve x = -7*o + 5*o + 6 for o.
3
Let z(i) = -2*i + 50. Suppose -4*f + 45 + 55 = 0. Let h be z(f). Solve 3*p + 2 - 11 = h for p.
3
Suppose 11*v = 50*v - 468. Suppose s = -34 - 8. Let y be v/s - 44/(-7). Solve -5*z = -9 - y for z.
3
Let t be 4 - 1/((-4)/((-24)/(-2))). Solve 17 = 5*h + t for h.
2
Suppose 7*l - 28*l = 0. Solve 0 = -14*f - l*f for f.
0
Suppose 116*q - 135*q + 285 = 0. Solve -10*j = q - 5 for j.
-1
Let r(u) = u. Let g be r(0). Let x = -47 - -50. Let a = -1 + 3. Solve f - x*f + a = g for f.
1
Let l(n) = -8 + 30 - 3 - 2*n. Let a be l(8). Solve a*i = -0*i + 15 for i.
5
Let b(h) = -h**3 - 9*h**2 - 3*h - 1. Suppose -2*f + 3*z = -7*f - 49, 0 = -2*f + 2*z - 10. Let u be b(f). Let v = -38 - u. Solve 0 = 5*l - v*l - 2 for l.
1
Suppose 15 = 9*n - 4*n. Suppose 0 = -3*v, -n*c + 2*v = -3*v + 6. Let f be (-1)/c*(-14 + 34). Solve 5*t + f = -15 for t.
-5
Suppose 2*r - 5 = -l + 4, 12 = 3*r. Let t be l*(24 - (-6)/2). Solve -4*c + 11 = t for c.
-4
Let i(j) = j + 5. Let z be i(1). Solve 3 + 21 = -z*g for g.
-4
Suppose 0 = x - 6*x - 35. Let g = 7 + x. Let h = g + 0. Solve 2*r + r = h for r.
0
Let x = 26 - 14. Suppose 0 = m - w - 0 - 4, 0 = -3*m - 3*w + x. Solve m = -5*c - 6 for c.
-2
Suppose -15 = 6*t - 15. Solve l + 0*l + 4 = t for l.
-4
Suppose 5*u + 16 = 2*n, n + 5*u = u - 5. Suppose 2*x - 35 = 3*m, -n*x - x = -4*m - 68. Suppose -3*c - 1 = -x. Solve -8 = c*g + 17 for g.
-5
Let h(z) = -z**3 - 5*z**2 + 5*z. Let w be h(-6). Let f be w/(-6) + (-4)/(-1). Solve f*d + 3 = 6 for d.
1
Suppose 5*p - 2*p = 0. Solve p = -2*t - 5*t + 28 for t.
4
Let s(u) = u**2 - 5*u - 8. Suppose 4*f + n = 27, -f = 5*n - 0*n - 21. Let m be s(f). Let l be (-3 + 3)/(3 + m). Solve -5*h + l*h + 10 = 0 for h.
2
Suppose -n + 10 = -2*h, -4*n + 0*n + 16 = -2*h. Solve 14 - n = 3*t for t.
4
Let y be ((-2)/1)/(132/(-30) + 4). Let l be (-33)/(-3) - (y - 0). Solve -l*t = -t + 25 for t.
-5
Let j be (2 + 8 + 21)/1. Solve -4 + j = 9*t for t.
3
Suppose -3*q - 5*s = -s - 47, -4*q = -5*s - 42. Solve 8*y = q*y for y.
0
Let j be (-4)/(12/15)*-1. Suppose 5 + 0 = j*f. Let l be (-6 - -2)/(0 - f). Solve -5*w = -l*w for w.
0
Suppose 148*v - 48 = 146*v. Solve -v*y + 3 = -23*y for y.
3
Let l be (-40)/6*(4 + -5 + -2). Solve -482*k = -486*k + l for k.
5
Suppose -3*s - 102 = -3*g, 8*g = 4*g - 4*s + 96. Let z = -27 + g. Solve -4*w = 18 + z for w.
-5
Let z = 76 - 72. Solve z*k = 14*k + 50 for k.
-5
Let v(t) = -6*t + 14. Let p be v(4). Let z be ((-5)/(-2))/((-5)/p). Solve -8 = -z*r + 12 for r.
4
Let o(i) be the first derivative of -i**2 + 2*i - 2. Let c be o(0). Solve s = c*s - 4 for s.
4
Suppose -3*p + 0*p = 3*w - 93, -w + 40 = -2*p. Let k = w + -30. Let q be (-2)/(-6) + 222/9. Solve v - q = -k*v for v.
5
Suppose -200*q + 195*q = 0. Solve -10*a - 23 + 3 = q for a.
-2
Let v = 166 + -146. Solve 0 = -3*z - z - v for z.
-5
Let r(p) = p**2 + 26*p + 32. Let s be r(-25). Solve 18*b - s = -7 for b.
0
Suppose -13 = 3*i - 2*d - 18, 2*i = -4*d + 14. Solve -i*b + 29 - 44 = 0 for b.
-5
Let l be (6/8)/((-6)/(-32)). Solve -m = -l*m - 12 for m.
-4
Suppose -8*w + 19*w = 88. Solve w = 4*m - 4 for m.
3
Let l(p) = -5*p**2 - 111*p - 109. Let k be l(-21). Solve k = 4*i - 3 for i.
5
Let k = 60 + -60. Suppose k = -i - 11 + 16. Solve 4*d = i*d for d.
0
Let d = -27 - -31. Suppose 5*h - 11 - d = 0. Solve h - 1 = -o for o.
-2
Suppose d = 2*d + 12. Let s be (-19)/4 - (-3)/d. Let u be 4/(-8)*6 - s. Solve 3*w = -u*w + 25 for w.
5
Let s = 95 + -65. Let a = -29 + s. Solve -u - 1 - a = 0 for u.
-2
Let x = -41 - -43. Let p be (1/4)/(x/16)*1. Solve 6 + p = -2*b for b.
-4
Let m = 16 + -19. Let i be (4/3 + m)*-9. Solve -3*a = 2*a - i for a.
3
Let z(b) = 2*b - 3. Let p(i) = -3*i - 3. Let l be p(-2). Let d be z(l). Solve 0 = n + d - 1 for n.
-2
Let h(y) = -y**3 - 9*y**2 + 11*y + 10. Suppose -3*f - 2 = -4*p + 40, 5*p = -3*f - 15. Let w be h(f). Solve c - 5 + w = 0 for c.
5
Let o = -129 + 93. Let h = 36 + o. Solve 3*i = 9 - h for i.
3
Suppose 16 + 4 = -i + 5*u, -5*i - 4*u + 45 = 0. Solve -i*j = 51 - 56 for j.
1
Let m = 481 + -476. Solve 7 = m*k - 12*k for k.
-1
Suppose 114*b - 111*b - 9 = 0. Solve -b*j = -18 + 6 for j.
4
Suppose -5*l + 12 = -3. Suppose -4*f + 6 = 2*k, 0*k = l*k + 9. Solve -4 = f*s + 5 for s.
-3
Suppose 728 = 15*p + 37*p. Solve 0 = -p*l + 26*l - 60 for l.
5
Let g(m) = -4*m - 1. Let j be g(3). Let l = j + 16. Suppose -l*o + 8 = -o. Solve -2 = -2*f + o for f.
3
Suppose -5*d = -d - 420. Let u = d + -95. Solve -4*n + 10 = -u for n.
5
Let c = 3 - -4. Let p(s) = 2*s**2 + s + 4. Suppose 3 = -3*u - l, -7*l - 15 = 5*u - 2*l. Let x be p(u). Solve -x*v = -c - 1 for v.
2
Let n = -1343 - -1351. Solve 16*y + n = 18*y for y.
4
Let k(y) = 3*y - 1 - 3 - y. Suppose -17 = -4*n + v, 13 = -0*n + n - 2*v. Let o be k(n). Solve 0 = -2*h - 2 - o for h.
-2
Let q = -84 + 88. Let l(i) = i**3 - 3*i**2 - i + 8. Let d be l(q). Solve -2*g = 2*g - d for g.
5
Suppose -5*t - 3*z = -8*z - 20, -32 = -2*t - 4*z. Let b be (3 + -4)/((-4)/12). Suppose 0 = 2*s - b*s + 4. Solve -3*g = -t - s for g.
4
Let o be (4/8)/1 - 339/(-6). Let f = o - 56. Solve -m + f + 1 = 0 for m.
2
Suppose 0 = -3*x + 2*x + 6. Let v be ((-2)/x)/(9/(-27)). Let n = 13 - 6. Solve -2*g + n = -v for g.
4
Suppose -r + 4*h + 12 = 2*h, -3*r = -5*h - 36. Suppose 0 = 4*g + 2*b + 2 + 4, -r = g + 4*b. Solve g = -n - 0 + 5 for n.
5
Let n be (-12)/1
|
{
"pile_set_name": "DM Mathematics"
}
|
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