text
stringlengths
270
8.19k
meta
dict
492403. 5.0892403 Sum 1225 and 4224.44. 5449.44 1602109746 - -1 1602109747 What is the distance between 113960.3 and -9? 113969.3 What is -6.3815 - 64.719? -71.1005 What is -1.4881 + 15.24? 13.7519 Total of -23.897531 and 132. 108.102469 What is the distance between -543963.191 and -0.1? 543963.091 What is the distance...
{ "pile_set_name": "DM Mathematics" }
248 + 6/1031. Let s be 74*52 + -6 + 5. Let r = 34549/9 - s. What is the common denominator of r and z? 72 Let i = 404 - 13029/32. Let r = -1385/672 - i. Find the common denominator of 85/36 and r. 252 Calculate the common denominator of -41/4 and (790/112 + -7)/((-8)/(-42)). 32 Let m(p) = p**2 + 26*p + 34. Let b be m(-...
{ "pile_set_name": "DM Mathematics" }
7, -516, -921, -1442, -2079, -2832? -58*p**2 + p + 3 What is the q'th term of 196, 193, 190? -3*q + 199 What is the j'th term of -52, -206, -454, -790, -1208, -1702, -2266? j**3 - 53*j**2 - 2*j + 2 What is the z'th term of -11, -15, -19, -23, -27, -31? -4*z - 7 What is the a'th term of 92, 89, 86, 83? -3*a + 95 What is...
{ "pile_set_name": "DM Mathematics" }
ive of -16474*h**3 - 789*h**2 + 2*h wrt h. -98844 What is the third derivative of 838*u**5 - 1551*u**2 wrt u? 50280*u**2 What is the second derivative of 3*z**5 + 47*z**4 - 167*z wrt z? 60*z**3 + 564*z**2 Find the third derivative of 5*i**2*k**5 - i**2 + 42*i*k**5 - 396*i*k**2 wrt k. 300*i**2*k**2 + 2520*i*k**2 What is...
{ "pile_set_name": "DM Mathematics" }
2*l**4 + 113*l**2 + 2. Determine b(0). 2 Suppose 5*u - 3*r = 15, 0*u - 4*r = 3*u - 38. Suppose u = 17*n - 14*n. Let y(o) = -4*o**n + 23 - 8 + 2*o**2 - 6*o**3 - 14. Give y(1). -7 Let a = -1533 + 1537. Let t(h) be the third derivative of h**5/30 - h**4/12 + h**3/6 + 4*h**2 + 8*h. Give t(a). 25 Let s(v) = 7*v**2 - 4*v + 1...
{ "pile_set_name": "DM Mathematics" }
38 is divided by 215. 203 Calculate the remainder when 6098 is divided by 1129. 453 Calculate the remainder when 222050 is divided by 70. 10 Calculate the remainder when 1284013 is divided by 14. 3 Calculate the remainder when 18088 is divided by 412. 372 What is the remainder when 14308 is divided by 54? 52 What is th...
{ "pile_set_name": "DM Mathematics" }
ler than -96/8255? False Do 10693 and 10688 have different values? True Is 0 greater than -68/1495? True Which is bigger: 0.426 or -2? 0.426 Which is smaller: -48 or 1789? -48 Which is bigger: 115265 or 115263? 115265 Is 2940 at most as big as 2680? False Does -15254 = -15250? False Which is bigger: 0 or 161/5827? 161/...
{ "pile_set_name": "DM Mathematics" }
- 1. Let f = 1/19 - 24/95. Which is the second biggest value? (a) -2/11 (b) p (c) f a Let u be 120/224 + 1/(-4). Let p be 1/(-4) + (-7)/4. Let x be -1 - (p + -2) - 1. Which is the smallest value? (a) u (b) x (c) -5 c Let c = 12 + -47/4. Let j = 0.14 - 7.14. Let d = j + 7. What is the smallest value in -2, d, c? ...
{ "pile_set_name": "DM Mathematics" }
he form p + c*x and give c. 4 Rearrange ((-c - c + 0*c)*(-3 + 2 + 2) + 3 + c - 3)*(-c - 3*c + 3*c) + 11*c**2 - c**2 + 3*c**2 to z*c + g*c**2 + r and give g. 14 Express (7*t - 17*t + 8*t + 149)*(1 - 1 + 3) as h*t + u and give h. -6 Rearrange (112*c - 8*c + 4*c)*(-10*c + 10*c - 33*c) to n*c + g + s*c**2 and give s. -3564...
{ "pile_set_name": "DM Mathematics" }
*z + 2*l + 54. Let i be 0 + 0 + 0 - s/z. Solve -f + 8 = f - c, -3*c + 31 = i*f for f. 5 Suppose 0 = 2*r - 21 - 67. Let n = r + -44. Solve 3*q - 5*m + 3 + 8 = n, 4*m = -q + 19 for q. 3 Suppose 0 = -5*u - z + 52, 4*u + 2*z - 7*z = 30. Solve 0 = x - 4*d - 9, 0 = -6*x + u*x + 2*d + 18 for x. -3 Let v be 16/6*(-5 + (-65)/10...
{ "pile_set_name": "DM Mathematics" }
4*m + 38 for s. -2 Solve 9*f + 5*s - 3507 = 6*f - 3626, 3*s = -3*f - 111 for f. -33 Solve 2*p - 38206 + 38220 = -q, -82*p - 26*p - 3*q - 348 = 0 for p. -3 Solve 41 = 2*q + 151*h - 150*h, -q + 5*h + 26 = 0 for q. 21 Solve 7*s - 6*s + 4*s = 75, -10*s + 198 = -7*b - s + 63 for b. 0 Solve 21 + 5 = 3*l + 4*a, -7*l + 2*a + a...
{ "pile_set_name": "DM Mathematics" }
19 Calculate the remainder when 149 is divided by 59. 31 Calculate the remainder when 250 is divided by 15. 10 Calculate the remainder when 647 is divided by 72. 71 What is the remainder when 426 is divided by 54? 48 What is the remainder when 7477 is divided by 19? 10 Calculate the remainder when 2491 is divided by 58...
{ "pile_set_name": "DM Mathematics" }
er? False Is 8066541001 a prime number? True Is 15059464881 a composite number? True Is 1047517789 a prime number? False Is 184777687 composite? False Is 8222124661 a prime number? False Is 127406217823 prime? True Is 190962007 prime? False Is 140329672181 a composite number? True Is 749691406457 a composite number? Tr...
{ "pile_set_name": "DM Mathematics" }
+ 2*r - 1. Let d be -4*(2 + (-10)/4). Suppose -d*t = -5*t + 3. Let l be i(t). Solve -o - 12 = l*o for o. -3 Suppose -3*n + 8*n = -5. Let r = 0 + n. Let c be (1 + r + 0)/1. Solve 0 = -5*l - c*l - 20 for l. -4 Let q(f) = -8*f + 116. Let b be q(13). Solve 2*z = 5*z + b for z. -4 Let a be 4 + (4 + -7 - -4). Solve 10 + 15 ...
{ "pile_set_name": "DM Mathematics" }
Put together 40.658 and -0.01. 40.648 What is 63 take away 1723? -1660 Add together -1.4 and 100. 98.6 What is the distance between -945 and 52? 997 Subtract -61 from -0.071. 60.929 -0.024 + 149.2 149.176 Work out 28394 - 0.2. 28393.8 What is 97 take away -3407? 3504 Sum -0.0942 and 9. 8.9058 What is 0.7396 less than 5...
{ "pile_set_name": "DM Mathematics" }
-12, 0, 2 Suppose 3*v**3 - 399*v**2 + 6240*v + 518400 = 0. Calculate v. -27, 80 Find j such that -j**4 - 39*j**3 - 558*j**2 - 3488*j - 8064 = 0. -14, -9, -8 Factor -2*s**3 + 2872*s**2 - 14318*s + 11448. -2*(s - 1431)*(s - 4)*(s - 1) Determine w, given that -3*w**4/5 - 792*w**3 + 23841*w**2/5 - 35802*w/5 = 0. -1326, 0, ...
{ "pile_set_name": "DM Mathematics" }
9 What is the ten thousands digit of 2562851340? 5 What is the thousands digit of 7498658380? 8 What is the hundred thousands digit of 7208594? 2 What is the ten millions digit of 249469415? 4 What is the hundred millions digit of 687788406? 6 What is the millions digit of 645344004? 5 What is the units digit of 399850...
{ "pile_set_name": "DM Mathematics" }
b**6 - 165*b**5 - 10*b**6 + 2392*b**2 wrt b? -240*b**3 + 8472 Let w = 23 - -1. Let c = w + 5. What is the third derivative of 69*v**3 + 0*v**2 + c*v**2 - 91*v**3 wrt v? -132 Let n(z) be the second derivative of -3167*z**4/4 - 5131*z**2/2 - 2*z - 511. Differentiate n(m) with respect to m. -19002*m Let w(v) be the first ...
{ "pile_set_name": "DM Mathematics" }
179, 1273182, 1273185? 3*r + 1273173 What is the l'th term of 63637, 254623, 572933, 1018567? 63662*l**2 - 25 What is the j'th term of 2204, 2170, 2110, 2024, 1912, 1774? -13*j**2 + 5*j + 2212 What is the i'th term of -1124231, -2248469, -3372721, -4496993, -5621291, -6745621, -7869989? -i**3 - i**2 - 1124228*i - 1 Wha...
{ "pile_set_name": "DM Mathematics" }
2*o - 0*o for o. -4 Solve 102 = 3*s + 78 for s. 8 Solve 0 = 51*o + 27*o + 78 for o. -1 Solve 9 = -17*a + 8*a for a. -1 Solve -4*u - 3 = -7*u for u. 1 Solve 0 = -3*m + 270 - 258 for m. 4 Solve -2*n - 27 + 25 = 0 for n. -1 Solve 40*r - 8 = 39*r for r. 8 Solve 35 = -8*c + 35 for c. 0 Solve 8*k + k + 9*k = 0 for k. 0 Solve...
{ "pile_set_name": "DM Mathematics" }
) = 9*v**2 + 19*v - 11. Let w(k) = 5*k**2 + 10*k - 6. What is g*a(m) - 11*w(m)? -m**2 + 4*m Let r be 32/336 + 2150/(-525). Let t(x) = 2*x**2 + 8*x + 1. Let k(u) = -2*u**2 - 7*u - 1. Determine r*t(l) - 5*k(l). 2*l**2 + 3*l + 1 Let d(u) = 39*u**3 + 2*u**2 + 5. Let n(k) = -79*k**3 - 3*k**2 + k - 13. Calculate -5*d(a) - 2*...
{ "pile_set_name": "DM Mathematics" }
2/10. Let j be (1 + 1 - 5)*(-6)/g. Sort -3, v, j in descending order. j, -3, v Let l = 484 + -483. Sort -14, l, -3, 0 in descending order. l, 0, -3, -14 Let m(f) = 7*f - 6*f - 8*f + f**2 - 6*f + 19. Let b be m(13). Let p = b - 23. Put 6/5, p, 2 in descending order. 2, 6/5, p Let a = -4.3 - -5. Let k = 0.4 - a. Let c b...
{ "pile_set_name": "DM Mathematics" }
sqrt(833)))**2). -11191 - 1680*sqrt(17) Simplify 1 + -2 + -6*(5 + sqrt(384)/(sqrt(8) + (sqrt(144)/sqrt(3))/sqrt(6) + sqrt(8) - sqrt(8))) + 1. -30 - 12*sqrt(3) Simplify ((0 + (-1 + sqrt(288)*-2*-1 - (-3 + 0 + sqrt(288) + -1)))*5 + 4)**2. 2280*sqrt(2) + 7561 Simplify (-3*1*sqrt(3888)*2*-2)**2 - (1 + (-4*(sqrt(3888) + -1 ...
{ "pile_set_name": "DM Mathematics" }
69. Let a be -2 + (-2 - -4 - -2). Let u(s) = s - 3 - s**o - 3 - a*s**2 - s**2 + 4. Give u(-3). -5 Let a(k) be the first derivative of -k**4/2 - 2*k**3/3 + k**2/2 - 2*k + 55. Give a(-2). 4 Let n(v) = -95*v + 137*v**3 + 11*v**2 - 15 + 82*v - 136*v**3. Calculate n(-12). -3 Let m(r) = r**3 + 9*r**2 + 17*r + 70. Let b be m(...
{ "pile_set_name": "DM Mathematics" }
- 247*z - 2*j = 14 for z. 0 Solve -2*k = -4*i - 92, -4*i - 96 = 9*k - 488 for k. 44 Solve 973*o = -4*m + 961*o + 36, -o = -2*m - 10 for m. -3 Solve 0 = 5*z - 1185728*j + 1185733*j + 90, 0 = -3*z - 5*j - 62 for z. -14 Solve -2*k + 176*x = 172*x + 11 + 35, 3*k = 5*x - 58 for k. -1 Solve -2*b - 3*r + 15957 - 16075 = 0, -1...
{ "pile_set_name": "DM Mathematics" }
n 1/4, 892, 4, -0.5, 36? 36 What is the biggest value in -11/14, -23, -45094? -11/14 What is the third smallest value in 1493, 0.2, 0.0899, 0.12? 0.2 Which is the biggest value? (a) 1 (b) 0.4 (c) 91 (d) -213.1 (e) -0.5 c What is the fourth smallest value in -5, 2/11, 439, -11/3? 439 What is the fourth smallest val...
{ "pile_set_name": "DM Mathematics" }
2*u + 9 = k*h, -3*u - h = 2*u - 3 for u. 0 Let j be ((-3)/(-2))/((-5)/(-40)). Solve -2*z - 4*m - j = 0, 4*z + 4*m = 5*z - 18 for z. 2 Suppose 25 = r + 3*f, -3*f - 20 - 19 = -3*r. Suppose 2*n + 2*n = r. Solve -2*y - 15 = 5*a, 3*y + 0*a + n*a = -12 for y. 0 Let w(s) = -s - 5. Let f be w(-5). Suppose f = -c - c - 12. Let ...
{ "pile_set_name": "DM Mathematics" }
se 6) to base 10 5797256 Convert -b2bbc (base 14) to base 8. -1510462 Convert fcec9 (base 16) to base 11. 648388 Convert ac3ab7 (base 14) to base 3. 102000012010022 What is -524972 (base 14) in base 9? -5204706 -11011001000100110010001 (base 2) to base 7 -114313626 Convert 685d (base 15) to base 7. 121354 23a35 (base 1...
{ "pile_set_name": "DM Mathematics" }
t - 4*k - 166, -9*k + 6*k - 168 = -t. List the prime factors of t. 2, 3, 29 Suppose 0 = -3*l + 4*i + 120, l - 4*l - i + 120 = 0. Let u(z) = -3*z**2 + 148*z - 97. List the prime factors of u(l). 3, 11, 31 Let w(t) = -t**2 + 13*t - 15. Let y(f) be the third derivative of -f**5/30 + 11*f**4/24 + f**3 - 15*f**2. Let i be y...
{ "pile_set_name": "DM Mathematics" }
**2 - 6*g + 1. Let m be q(-7). Let u(d) = 3*d. Let o = -24978 - -24961. Determine m*r(z) + o*u(z). 9*z Let m(f) = 63*f - 5. Let s(x) = 725*x - 58. Suppose -4*u - 286 = -5*v, -146*v + 148*v + 2*u = 118. Determine v*m(i) - 5*s(i). 29*i Let t(q) = -q**2 - q + 1. Let b be 207*-1 + 13/(312/48). Let j(z) = 41*z**3 + 205*z**2...
{ "pile_set_name": "DM Mathematics" }
23. Put b, -6, 10, 4 in ascending order. -6, 4, b, 10 Suppose 22*t - 147 = 169*t. Put 1, 5, -6, -3, t in decreasing order. 5, 1, t, -3, -6 Let y = -1387/5500 + 3/1375. Put -4/5, 4, 2/7, -0.189, y in increasing order. -4/5, y, -0.189, 2/7, 4 Let r = 7615 - 7617. Sort r, 0, 179 in descending order. 179, 0, r Let a = 232...
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from wwowwawwd. Give prob of sequence daw. 1/84 Two letters picked without replacement from ijztiwd. What is prob of sequence dz? 1/42 Three letters picked without replacement from scqqcqchzbchcbhszc. Give prob of sequence hch. 1/136 What is prob of sequence gc when two letters picked wit...
{ "pile_set_name": "DM Mathematics" }
of 128101409? 17, 103, 149, 491 List the prime factors of 1706860878. 2, 3, 281, 1012373 What are the prime factors of 201286737? 3, 97, 2377 List the prime factors of 131228644. 2, 17, 83, 23251 What are the prime factors of 4573457457? 3, 101, 15093919 What are the prime factors of 53707008? 2, 3, 69931 List the pri...
{ "pile_set_name": "DM Mathematics" }
= j**2 + 3*j. Calculate the remainder when b(r) is divided by h. 8 Let q be 8/(60/(-27) - -2). What is the remainder when 23 is divided by ((-4)/(-6))/((-2)/q)? 11 Calculate the remainder when 3 - (2/3)/((-18)/189) is divided by 3. 1 Let h = -30 + 42. Suppose 0 = -4*j + 81 + 151. Calculate the remainder when j is divid...
{ "pile_set_name": "DM Mathematics" }
(0*l - 3*l + 4*l). 8*l Expand -2*o**5 + 3*o**5 - 2*o**5 + (2*o - o + 3*o)*(2*o**4 - 3*o**4 + 5*o**4 + 0*o**4 + 3*o**4 - 2*o**4 + (-6*o**4 + 2*o**4 + 2*o**4)*(-2 - 4 + 4)). 35*o**5 Expand (-3*x + 3*x + 2*x)*(x - x + 3*x - 18*x - 2*x - 17*x + (2*x + 0*x - x)*(3 + 1 - 3)). -66*x**2 Expand -7*o**4 + 2*o**4 + o**4 + (3*o**3...
{ "pile_set_name": "DM Mathematics" }
Let j(l) be the third derivative of l**4/12 - 7*l**3/6 - 161*l**2. Let a(n) = 11*j(n) + 2*t(n). Determine a(2). 5 Let m(g) = 3*g - 10. Let r = 39 - 36. Suppose 2*b = -2*j + 8, -r*b - j = 2*b - 20. Give m(b). 2 Let y = -20763 - -20769. Let w(c) = 7 + 0*c - 1 - c. Calculate w(y). 0 Suppose -5*o = 16*u - 18*u - 13, u + 6 ...
{ "pile_set_name": "DM Mathematics" }
s 65 divide 978? False Is 1452 a multiple of 66? True Does 38 divide 907? False Does 5 divide 670? True Is 34 a factor of 1428? True Is 75 a factor of 1954? False Is 1428 a multiple of 12? True Is 54 a factor of 718? False Is 1274 a multiple of 13? True Is 13 a factor of 31655? True Is 9 a factor of 684? True Is 22 a f...
{ "pile_set_name": "DM Mathematics" }
ultiple of x and 402? 2814 Suppose -4*k = -20, -3*p = 6*k - 7*k + 155. What is the common denominator of p and -70/9? 9 Suppose 0 = -65*g + 57*g + 3424. Calculate the lowest common multiple of 3 and g. 1284 What is the lowest common multiple of ((-1)/(-3))/(6/54) and 174? 174 Let x = -176798 + 61879353/350. Calculate t...
{ "pile_set_name": "DM Mathematics" }
r p? -1 Let q be 4/14 + 12/105. Let d = -127319/93 + 1369. Which is greater: q or d? q Let p = -6337/3 + 2083. Is -30 at least p? False Let v be -11 + (9 - -2) - -2. Suppose -2*u = 14 + 6. Let t be (2/u)/(3/(-12)). Does v = t? False Let a(t) = t + 6. Let q be a(-14). Let c be (1 - 21)*8/q. Let m be c/(-90) + (-22)/(-18...
{ "pile_set_name": "DM Mathematics" }
sqrt(24) + sqrt(24)). 15*sqrt(19)/4 Simplify (-3*(-1*sqrt(187) - sqrt(187)))/sqrt(11) - 6*(sqrt(425) - (sqrt(425) + 1)). 6 + 6*sqrt(17) Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*2)*2)) - sqrt(68)) + (-5*2*sqrt(68) - sqrt(68)))/(-4*-3*sqrt(144)). -5*sqrt(17)/72 Simplify (3*(-4 + 1*(-2 + sqrt(190...
{ "pile_set_name": "DM Mathematics" }
greatest common factor of 130 and 211947814. 26 What is the greatest common divisor of 15 and 754233? 3 Calculate the highest common divisor of 10723636 and 5646. 1882 What is the greatest common divisor of 185 and 759415? 5 Calculate the highest common factor of 40 and 19455000. 40 What is the highest common divisor ...
{ "pile_set_name": "DM Mathematics" }
+ -4. Let h = o - -135. Does 17 divide h? True Suppose 69 = z + 29. Is 2 a factor of z? True Suppose -241 + 65 = -y - 4*i, 820 = 5*y + 5*i. Let k be ((-1)/2)/((-16)/y). Suppose -w = -k*w + 140. Is 11 a factor of w? False Suppose -4*x + 9 = -f - 2, 8 = 2*x + 2*f. Suppose 0 = -2*c + c + 5*b + 42, x*b = -4*c + 145. Suppo...
{ "pile_set_name": "DM Mathematics" }
(99). -18*sqrt(11) - 4 Simplify (sqrt(13) + sqrt(26)/sqrt(2))*-1 - sqrt(156)/(2*sqrt(12)). -5*sqrt(13)/2 Simplify sqrt(25)/(-1*sqrt(180)). -sqrt(5)/6 Simplify (-5*(sqrt(3) + -3) - (sqrt(243) + -1))**2. -448*sqrt(3) + 844 Simplify -4*(sqrt(52)/(sqrt(8)/sqrt(2)))**2. -52 Simplify 5 + 1*sqrt(396) + -1. 4 + 6*sqrt(11) Simp...
{ "pile_set_name": "DM Mathematics" }
et s(t) = -41*t - 1. Let u(g) be the first derivative of g**3 - 93. Calculate u(s(l)). 5043*l**2 + 246*l + 3 Let v(r) = 3*r. Let o be ((-8)/(-16))/((-258)/(-84) + -3). Let i(l) = -l + 6. Let x be i(4). Let n(z) = -z**2 + 9*z**x - o*z**2 + 8*z**2. What is v(n(u))? 27*u**2 Let o(s) = s + 177 - 177. Let f(z) = z**2 + z. L...
{ "pile_set_name": "DM Mathematics" }
17 Solve -2*s = 8, 55*v + 3*s + 12 = 52*v for v. 0 Solve -5*n = 20, -2*n - 335 = 2*p - 337 for p. 5 Solve 36 = -3*c + 3*h, -28 = 141*c - 144*c - 5*h for c. -4 Solve -a + 5*f - 6 = -16, 4*f + 8 = -a for a. 0 Solve -l - 12 = 6*l - 4*l, 9*l + 45 = n for n. 9 Solve -4*a + 2194 = -3*l + 2163, -4*a + 6 = 2*l for a. 4 Solve ...
{ "pile_set_name": "DM Mathematics" }
15 Suppose 26 = -5*w + 236. Let o = -4 + 4. Suppose o*h + 2*h = w. Calculate the remainder when h is divided by 12. 9 Let m be 72/7 - (-4)/(-14). Suppose j = 30 + m. What is the remainder when j is divided by (0 - 14/8)*-8? 12 Suppose -7*j - 4*m = -3*j - 260, 0 = -5*j - 2*m + 325. Calculate the remainder when j is divi...
{ "pile_set_name": "DM Mathematics" }
-114.1 + 114. What is the nearest to 0.1 in s, -0.4, 4? s Let r = -0.437 - -0.037. Which is the nearest to -0.1? (a) 0.5 (b) -3 (c) r c Suppose 2*x = 3*x - 3. Suppose -3 = -x*l + 3. Let t = -0.397 - 0.103. What is the closest to 1/2 in t, l, -2? t Let k = 10.5 + -10. Let r = 1.7 + -9.7. Let i = 5 + r. What is the cl...
{ "pile_set_name": "DM Mathematics" }
-8977, -20191, -35891, -56077, -80749? -2243*o**2 + o - 7 What is the l'th term of 514, 482, 450? -32*l + 546 What is the w'th term of -3031, -2911, -2793, -2677? -w**2 + 123*w - 3153 What is the k'th term of 664608, 1329217, 1993826, 2658435, 3323044? 664609*k - 1 What is the b'th term of 172, 429, 700, 985, 1284? 7*...
{ "pile_set_name": "DM Mathematics" }
r. g, -4/7, -1/3 Suppose -2*b = -2*a + 7*a - 113, -2*a + b = -38. Suppose -a - 5 = -2*w. Let f be 21/52 + (-2)/w. Put f, -2, -1/8 in decreasing order. f, -1/8, -2 Let r = 1.24 - 1.2. Put r, -2/7, -1/3 in descending order. r, -2/7, -1/3 Let a = 2806/4935 + 2/705. Put a, 2, 5, 13 in increasing order. a, 2, 5, 13 Let v = ...
{ "pile_set_name": "DM Mathematics" }
b(x) = x**3 + 9*x**2 - 11*x - 7. Let y be b(-10). Suppose 2*d + 2*v = 8, y*d + v = -2*d + 4. Solve d = 2*f + 2*i + 4, -f + 26 = -5*f + 2*i for f. -5 Let m(a) = -a**3 - a**2 + 4*a - 1. Let n be m(-3). Suppose -2*c = -1 - n. Solve 4*q = -c*u - 6, 0 = -4*u - q - 3 - 5 for u. -2 Suppose -i = 5*u - 27, -11*u + 7*u + 12 = -4...
{ "pile_set_name": "DM Mathematics" }
Differentiate d(n) with respect to n. -4*n Suppose -17 = 4*q - 5*y, q = -0*q - 2*y + 12. Suppose -j = -0*j - q*t - 13, -5*j + 2*t = -25. Differentiate 0*m**j - 3 - 2*m**3 + 1 + 0*m**3 with respect to m. -6*m**2 Let q be ((-1)/(-3))/(4/24). What is the second derivative of 3*i**2 + 0*i - q*i**2 + 2*i - 3*i wrt i? 2 Let...
{ "pile_set_name": "DM Mathematics" }
without replacement from jjjjjojpj. What is prob of sequence jp? 7/72 What is prob of sequence lls when three letters picked without replacement from {l: 2, s: 1, c: 1, t: 1}? 1/30 What is prob of sequence oo when two letters picked without replacement from qqqiqroorrrrurqqqro? 1/57 What is prob of sequence ibib when f...
{ "pile_set_name": "DM Mathematics" }
second smallest value? (a) -4 (b) d (c) -0.2 c Let o = -17693/47160 + 1/5895. What is the third biggest value in o, 9, 3, 0.3, -3? 0.3 Let r be -11*3/6*146/73. Which is the second biggest value? (a) 5 (b) r (c) 0.3 (d) 40 (e) 1 a Let x = 225 + -225.412. Let m = -4.412 - x. Let w be 1*1/(-4) + 0. What is the sec...
{ "pile_set_name": "DM Mathematics" }
to l + v*o and give v. -449 Express (-5 + 2 + 0)*(-57 - 58 + 33)*(r**3 + 1 - 1) as n*r**2 + i + c*r**3 + x*r and give c. 246 Express -247*p**3 - 249*p**3 - 12 + 502*p**3 in the form q*p**2 + m + o*p + n*p**3 and give n. 6 Rearrange -m**2 + 0*m - 22*m**2 - m + 13*m**2 - 3*m**4 + m**3 to l*m + k + w*m**3 + c*m**2 + y*m**...
{ "pile_set_name": "DM Mathematics" }
21812? -c**2 - 31*c + 21952 What is the o'th term of -263, -273, -301, -353, -435, -553? -o**3 - 3*o**2 + 6*o - 265 What is the b'th term of 1059, 1086, 1137, 1212, 1311? 12*b**2 - 9*b + 1056 What is the x'th term of -73750, -73761, -73772, -73783? -11*x - 73739 What is the g'th term of -373, -491, -609? -118*g - 255 W...
{ "pile_set_name": "DM Mathematics" }
et w be c - -5 - (6 - 3). Suppose 3*f = -w*f + 72. What is the tens digit of f? 2 Let p = -14 - -16. Let i(n) = -7 - 2*n**2 + 14*n - 2*n**2 - 6 + 3*n**p. What is the units digit of i(12)? 1 What is the units digit of 99 + (1 - 3*(-10)/(-6))? 5 Let w = -2 - 0. What is the tens digit of (-977)/(-13) + w/13? 7 Let q(s) = ...
{ "pile_set_name": "DM Mathematics" }
b. Solve -5 = -a*s - 4*l, -5*s + 2*l + 2*l = -5 for s. 1 Let u = -103 - -127. Solve -3*w - 3*x + u = 2*w, -4*w = -3*x - 3 for w. 3 Let o(v) be the first derivative of -v**4/4 - 4*v**3 + 2*v + 35. Let u be o(-12). Solve h = -3*t - 3*h + 13, -13 = -5*t + u*h for t. 3 Suppose -40 = -5*s + 2*a, -s - 4*a + 6 + 2 = 0. Suppos...
{ "pile_set_name": "DM Mathematics" }
-12.9 - -12. Let n = 0.1 - k. Let z = -127/220 + -1/44. Which is the third biggest value? (a) 0.1 (b) n (c) z c Let r = -26 - -68. Let m = 41.5 - r. What is the smallest value in m, -0.4, 3/5, 4? m Let o(u) = u**3 - 4*u**2 + 3*u + 4. Let k be o(3). Which is the fourth smallest value? (a) 3 (b) 1/4 (c) -1/5 (d) ...
{ "pile_set_name": "DM Mathematics" }
. Calculate the least common multiple of o(-1) and 6. 30 Let c = -3095/2 + 1589. Let l = -39213/3608 - 3/451. Calculate the common denominator of c and l. 8 Let l(s) = s**2 + 12*s + 31. Let i(b) = 21*b**3 - 2*b + 1. Calculate the smallest common multiple of l(-9) and i(1). 20 Suppose -5*y = 11*y + 880. Let g be (-4)/6 ...
{ "pile_set_name": "DM Mathematics" }
uppose 3*u = 4*y - 17, -5*u + 0*y = -m*y + 5. What is the units digit of u? 1 Let u = 6 - 6. Let s(m) = -m**2 + 5*m + 6. Let b be s(6). What is the units digit of u - (b + -2)*1? 2 Suppose 3*b = -2*b + 15. Suppose 51 = -b*r + 132. What is the tens digit of r? 2 Let c = -5 - -9. Suppose 0*w - 8 = -c*w. Suppose 2*u + 5*n...
{ "pile_set_name": "DM Mathematics" }
c**2 + 11*c - 38. Give m(12). -50 Let a(l) = -l**2 - 7*l - 5. Give a(-4). 7 Let q(n) = -6*n + 2. What is q(5)? -28 Let q(l) = l - 2. Calculate q(5). 3 Let g(w) = 4*w - 64. What is g(14)? -8 Let g(y) = -5*y - 27. Give g(-6). 3 Let t(q) = -q**2 + 9*q + 8. Calculate t(-4). -44 Let o(p) = 44*p + 136. Give o(-3). 4 Let o(y)...
{ "pile_set_name": "DM Mathematics" }
(-11). Let v = 283 + x. Find g such that 64/7 - 2/7*g**3 + 20/7*g**v - 64/7*g = 0. 2, 4 Let r be (-62)/(-341) + (-42)/(-11). Suppose 6*i + r*i - 30 = 0. Factor 0 + 1/3*z + 0*z**i - z**2 + 4/3*z**4. z*(z + 1)*(2*z - 1)**2/3 Let l(o) be the third derivative of 7*o**5/150 + 9*o**4/10 - 16*o**3/15 + 150*o**2. Solve l(i) = ...
{ "pile_set_name": "DM Mathematics" }
**4 to q*s**4 + i + h*s**2 + a*s + b*s**3 and give i. 2 Express 0*n + 331 + 2*n - 1221*n**2 - 259*n**2 - 332 + 58*n**2 in the form i*n**2 + f + z*n and give i. -1422 Express -2748*o + 145*o**3 + 2751*o + 2*o**2 - 2*o**2 + 2 + 138*o**3 as n*o**3 + h + i*o + r*o**2 and give r. 0 Express 4 + 407*x - 1006*x + 9*x as v*x + ...
{ "pile_set_name": "DM Mathematics" }
. Determine j(u(w)). -15*w**2 Let r(s) = 6085547 - 6085547 - 53*s. Let k(t) = t**2. Determine r(k(b)). -53*b**2 Let t(h) = 12*h. Let d(s) = -6*s - 5. Let a(l) = 35*l - 5. Let b(u) = -a(u) - 6*d(u). Calculate t(b(x)). 12*x + 420 Let d(r) = 17498*r**2. Let a(f) = -8*f + 2. Let n(o) = -10*o + 2. Let q(i) = -a(i) + n(i). G...
{ "pile_set_name": "DM Mathematics" }
What is the hundred millions digit of 6430539992? 4 What is the thousands digit of 1677740854? 0 What is the millions digit of 51488613? 1 What is the thousands digit of 706039248? 9 What is the units digit of 46056610? 0 What is the millions digit of 177884346? 7 What is the millions digit of 47820602? 7 What is the t...
{ "pile_set_name": "DM Mathematics" }
picking 1 h, 1 a, and 1 c? 1/14 Three letters picked without replacement from {z: 2, r: 1, b: 1, m: 2, c: 1}. Give prob of picking 1 b, 1 c, and 1 m. 2/35 What is prob of picking 3 v and 1 h when four letters picked without replacement from {r: 6, h: 7, v: 6}? 35/969 What is prob of picking 3 x and 1 u when four letter...
{ "pile_set_name": "DM Mathematics" }
ded by v(5). 4 Let k(h) = h**2 + h + 4. Let l be k(0). Suppose 5*v + 3*u - 96 = v, 16 = -4*u. What is the remainder when v is divided by (2/l)/((-3)/(-42))? 6 Let p = -1057 - -1464. What is the remainder when p is divided by 23? 16 Let o = 10 + 4. What is the remainder when 36 is divided by o? 8 Let y = -7 + 3. Let b(u...
{ "pile_set_name": "DM Mathematics" }
-14*n - 11. Is c(k) a multiple of 29? False Let s(k) = -10*k + 13. Let v be s(-9). Suppose 5*l - 122 = v. Is 14 a factor of l? False Let q(u) = -129*u + 144. Is q(-4) a multiple of 22? True Suppose -4*i = 3*j - 1384, 5*j - 462 = 4*j - i. Is j a multiple of 16? True Let r = 15 + -10. Suppose -r*y + 3*v - 23 = -171, 4*y ...
{ "pile_set_name": "DM Mathematics" }
/23)*(f*f**(2/9)*f)/f**(1/6) assuming f is positive. f**(9043/2070) Simplify (a**(-9)/a)/(a*(a*a**0*a)/a) assuming a is positive. a**(-12) Simplify k**8/k*k*k**(-5)/k assuming k is positive. k**2 Simplify t**(-33)/t*t/(t/t**(1/74)*t)*t assuming t is positive. t**(-2515/74) Simplify (h**(-3)*h**1)/((h*h**(2/7))/(h**(2/1...
{ "pile_set_name": "DM Mathematics" }
alse Is 1293078719 prime? True Is 8618175563 a prime number? True Is 5435740171 composite? False Is 4898538691 composite? True Is 31144602695 composite? True Is 9744965333 a composite number? False Is 11710576783 a composite number? False Is 124347193 a prime number? True Is 1615467829 prime? False Is 45185929111 compo...
{ "pile_set_name": "DM Mathematics" }
-3 Rearrange 4*r**2 - 9 + 2*r + 17 - 3*r**2 + r**2 to j*r**2 + p*r + q and give p. 2 Express (-7 + 4 + 5)*(-b**4 + 2*b**3 - 2*b**3) in the form o*b**2 + q*b**3 + k*b + g + w*b**4 and give k. 0 Rearrange (-1 + 2 - 3)*(4*z**3 + 0*z**3 + 0*z**3)*(-4*z + 3 - 3) - 6*z**4 + 2*z**4 + z**4 to h*z + n*z**2 + o + c*z**4 + f*z**...
{ "pile_set_name": "DM Mathematics" }
r n. -2 Solve 5*j - 37 = 4*s, 22*s - 27*s = 5*j - 10 for s. -3 Solve p - 5 = -2*m, -5*p + 3*m + 4 - 5 = 0 for p. 1 Solve -3*f + 2*m + 19 = 0, 4*f + m - 3 = 4 for f. 3 Solve -4*l = -4*q + 40, -5*l + l = -3*q + 35 for q. 5 Solve t + 3*l + 3 = -0*l, 5*t - 19 = 2*l for t. 3 Solve v + 5*x - 23 = 0, -v = -2*x + 5 - 0 for v. ...
{ "pile_set_name": "DM Mathematics" }
(n/(n/n**(2/3)*n))/n)/n)/n)/n))*n)) assuming n is positive. n**(-6392/1365) Simplify ((h/(h/h**(-6/13)))**(1/4)*h**14*h**(-19)/h)**(21/4) assuming h is positive. h**(-3339/104) Simplify (((l**(3/4)/(l**(-7)*l))/((l/l**2)/(l*l**(1/3))))**(-7/12))**(2/103) assuming l is positive. l**(-763/7416) Simplify (s**(5/7)*s*s**2)...
{ "pile_set_name": "DM Mathematics" }
e factors of a. 3, 5 Suppose -18 = -3*c - 3. Suppose -c*y = -5*t + 20, -2*y = -5*y - 3. Suppose -p + 9 = f - 0*p, 4*f = -t*p + 33. List the prime factors of f. 2, 3 Let r = 93 + -88. Suppose 2*n + 14 - 56 = 4*s, -r*s + 21 = n. List the prime factors of n. 3, 7 Let t be (-51)/(-6) + 33/22. Suppose -2*z - 6*d + 152 = -2*...
{ "pile_set_name": "DM Mathematics" }
r j*d - 4/7 + 4/7*d**2 - o*d**3. -2*(d - 2)*(d - 1)*(d + 1)/7 Factor 3*c**4 + 73*c - 35*c - 38*c. 3*c**4 Let x(h) = h**3 - 1. Let p(g) = -8*g**3 + 9*g**2 + 12*g - 3. Let j(z) = p(z) + x(z). Factor j(k). -(k - 2)*(k + 1)*(7*k - 2) Let i = -11/19 + -205/171. Let f = i - -28/9. Suppose -1/3*x**3 + f - x**2 + 0*x = 0. What...
{ "pile_set_name": "DM Mathematics" }
100000. 88100000 Round -0.0534804 to three dps. -0.053 What is -42749290 rounded to the nearest 1000000? -43000000 Round -48720.7 to the nearest one thousand. -49000 Round -1009.3298 to the nearest ten. -1010 Round -99013040 to the nearest one million. -99000000 Round 588720 to the nearest one thousand. 589000 What is...
{ "pile_set_name": "DM Mathematics" }
15*u**2. Determine n(c(h)). 19836930*h**2 Let o(i) = -2*i**2. Let r(h) = 2*h**2 - 8*h + 2. Let f be r(4). Let w be (-5 + (-60)/(-9))*(1 + f). Let k(v) = -w*v**2 - 543 + 543. Give o(k(g)). -50*g**4 Let s(b) = 167*b - 2. Let n(a) = -5*a. Let q(j) = -6*j. Let m(g) = 7*n(g) - 6*q(g). What is s(m(t))? 167*t - 2 Let q(c) = -...
{ "pile_set_name": "DM Mathematics" }
3*n + 5 + 4 = 0. Suppose -4*t + 11 = -n*b + 169, -4*t = 20. Is b greater than 0.1? True Let p(y) = y**3 - 2*y**2 - 4. Let q be p(2). Let r be ((-7)/q - 2) + 0. Is r <= 0.6? True Let y = -4.05 - -0.05. Let u = 83 - 79. Let i = u - y. Is -0.1 bigger than i? False Let b be 504 - 10*7/14. Is b bigger than 497? True Suppose...
{ "pile_set_name": "DM Mathematics" }
Give w(q). -9 Let l(a) be the third derivative of -7*a**5/60 + a**3/6 + 190*a**2. Calculate l(1). -6 Let d(t) = -5*t**3 - 5*t**2 - 5*t + 5. Let i be ((-56)/49)/(2/(-7)). Let f(z) = -4*z**3 - 5*z**2 - 5*z + 4. Let v(s) = i*f(s) - 3*d(s). What is v(-4)? 5 Let v(x) be the third derivative of -x**5/30 - x**4/8 + x**3/3 - ...
{ "pile_set_name": "DM Mathematics" }
Suppose 20 = -5*h, 5*h - 7*h - 13 = -f*i. Solve -i - 1 = -j for j. 2 Let g be ((-1)/(-1) - -6) + -30 + (-504)/(-14). Solve -3*v - 10 = -g for v. 1 Let a be -6 - (-412)/12 - (-4)/6. Let f be 3/(-6)*(-48 - (2 + 0)). Suppose -5*x = -2*k + 4*k - a, 0 = 5*x - f. Solve k*d + 2*d = 0 for d. 0 Let l(j) = j**2 - 7*j - 18. Let ...
{ "pile_set_name": "DM Mathematics" }
98408 is divided by 93? 39 Calculate the remainder when 252529 is divided by 515. 179 What is the remainder when 3143865 is divided by 1073? 1048 What is the remainder when 39184590 is divided by 4353829? 129 Calculate the remainder when 118600 is divided by 29384. 1064 Calculate the remainder when 45603459 is divided ...
{ "pile_set_name": "DM Mathematics" }
ppose 3382 - 13810 = -79*q. What is the highest common divisor of 2772 and q? 132 Let s be (-400)/(-15) + (130/3)/13. What is the highest common factor of 3645 and s? 15 Let c = 9071 - 7553. What is the greatest common divisor of 264 and c? 66 Suppose 6*x - 62 = 180 + 46. Let o(c) = 13*c**2 - 5*c + 4. Let y be o(4). Wh...
{ "pile_set_name": "DM Mathematics" }
is the units digit of 1220040? 0 What is the ten thousands digit of 1107229? 0 What is the tens digit of 23294? 9 What is the hundred thousands digit of 7416638? 4 What is the millions digit of 12993531? 2 What is the ten thousands digit of 985857? 8 What is the hundred thousands digit of 1103283? 1 What is the tens di...
{ "pile_set_name": "DM Mathematics" }
Let n(z) = -2*z. Determine n(b(j)). -44*j**2 Let g(v) = -v. Let n(t) = -4134*t + 6. Calculate g(n(a)). 4134*a - 6 Let v(n) = -6*n. Let w be (598/(-69))/(2/(-3)). Let s(b) = 17*b**2 + w*b**2 - 29*b**2. Calculate v(s(t)). -6*t**2 Let p(q) = 7*q. Let t(g) = -45 + 88 - 43 - 11*g**2 - 5*g**2. Determine t(p(v)). -784*v**2 Le...
{ "pile_set_name": "DM Mathematics" }
y -34175.97948? 39672.97948 Work out 648.17639 - 2.95219. 645.2242 What is -29782761788292 - -3? -29782761788289 -1345663 - 5698131 -7043794 What is the difference between -422.8 and 3754382? 3754804.8 Add 3.9 and 5439142330554. 5439142330557.9 Work out -0.17 + 68212465502. 68212465501.83 What is -134.91435 + 3041? 290...
{ "pile_set_name": "DM Mathematics" }
1/8 and d. 8 Let u = -1908 + 22915/12. Calculate the common denominator of 73/18 and u. 36 Let a(c) = -9*c. Suppose -15*q + 11*q + 56 = 0. Calculate the lowest common multiple of a(-2) and q. 126 Suppose -574 = 5*o - 19. What is the common denominator of ((-5)/5 + 38)*3/(-6) and (-2 + 0)/(28/o)? 14 Suppose 2*l - 4*l - ...
{ "pile_set_name": "DM Mathematics" }
- 89*w - 1/3*w**3 + 0. Let f(o) = -o - 2. Let h be f(-5). Calculate l(h). -1 Let s(t) = -t**3 - 20*t**2 - 53*t + 523. Let i be s(-12). Let w(l) be the first derivative of 4*l**2 + 1 + 1/4*l**4 - 7*l - 8/3*l**3. Calculate w(i). 0 Let k(p) = -p**3 + p**2 - 1. Let f(q) = q**2 - 8*q + 16. Let o be f(2). Let j(z) = -5*z**3 ...
{ "pile_set_name": "DM Mathematics" }
*r - 1. Let i be x(-3). Is a at least as big as i? True Let l(i) = 11*i**2 + i. Let y be l(-1). Let m(k) be the second derivative of -k**4/12 + 11*k**3/6 - 9*k**2/2 + 6*k. Let h be m(y). Is h > 2? False Let s = -168.3 + 169. Let u = -2 - -1. Which is greater: s or u? s Suppose -y + 3 + 9 = 4*n, 3*y - 5*n = -32. Which i...
{ "pile_set_name": "DM Mathematics" }
lacement from {b: 1, u: 3}. Give prob of sequence ub. 1/4 Four letters picked without replacement from {h: 5, v: 9}. Give prob of sequence hvvh. 60/1001 Calculate prob of sequence io when two letters picked without replacement from ytrrprpprirroprrpirp. 1/190 What is prob of sequence mc when two letters picked without ...
{ "pile_set_name": "DM Mathematics" }
hat is the next term in 1051640, 1051643, 1051646, 1051649? 1051652 What is next in -4525, -9046, -13557, -18052, -22525, -26970, -31381, -35752? -40077 What is next in 101, 429, 757, 1085? 1413 What is next in -38202, -76402, -114602, -152802? -191002 What is the next term in -24062, -24068, -24070, -24068? -24062 Wha...
{ "pile_set_name": "DM Mathematics" }
4845c (base 16) in base 8? 1102134 222211221112101 (base 3) to base 16 d9bab1 What is -286440 (base 12) in base 15? -d4ce9 What is 40b96 (base 13) in base 5? 12204401 What is 672380 (base 13) in base 10? 2432690 Convert 4143200 (base 7) to base 2. 1111001100111010110 68056 (base 13) to base 16 2e255 51432464 (base 7) ...
{ "pile_set_name": "DM Mathematics" }
-8*x + 4*j + 20 = -4*x. Suppose 0 = -2*o - r*o + x*p + 83, 2*p = -2*o + 38. What is the units digit of o? 0 Let j(o) = 31*o + 3. Let x be j(4). Suppose q + 2*c - 5*c = -55, 2*c - 223 = 5*q. Let y = x + q. What is the tens digit of y? 8 Suppose -c - 100 = -5*c. Suppose -2 = 24*p - c*p. Suppose -2*o - 3*a + 111 = 0, p*o...
{ "pile_set_name": "DM Mathematics" }
11*c**2 - 28*c + 86. Let y(o) = -6*q(o) - 25*s(o). Factor y(i). -5*(i - 4)**2 Let m(c) be the third derivative of -c**8/21 + 12*c**7/35 - 97*c**6/120 + 3*c**5/5 - c**4/6 + 2*c**2 - 21. Factor m(h). -h*(h - 2)**2*(4*h - 1)**2 Let d(s) be the third derivative of -s**7/735 - 3*s**6/280 + s**5/105 + 3*s**4/14 + 8*s**3/21 +...
{ "pile_set_name": "DM Mathematics" }
d(q) = 7*k(q) + 2*t(q). Determine d(5). 9 Let k = 126 - 110. Suppose -4 + k = 2*z. Let o(u) = -1 + 8*u - u**2 + 0*u - z*u. What is o(1)? 0 Let i(t) = 4*t**2 + 14*t + 31. Let z(v) = -2*v**2 - 7*v - 15. Let s(n) = -6*i(n) - 13*z(n). Calculate s(-5). 24 Let f(i) = -i**2 - 3*i - 1. Let x = 23 - 47. Let v(r) = 5*r + 116. Le...
{ "pile_set_name": "DM Mathematics" }
96. Calculate the common denominator of f and (2/(-8))/(6/268). 6 Let y = 4 - 2. What is the lowest common multiple of 2/(0 + (3 - y)) and 6? 6 What is the common denominator of -65/9 and -4 + (-2088)/(-585) + 1? 585 Suppose 11*q = 2*q + 81. Let d(i) = -i**2 + 11*i - 2. What is the smallest common multiple of 4 and d(q...
{ "pile_set_name": "DM Mathematics" }
519 What is -5 take away -61924.4? 61919.4 Subtract -1 from 506. 507 What is -0.18227037 + -0.2? -0.38227037 Calculate -5 - 580. -585 Subtract 84.645 from 0.39. -84.255 What is -3.5 plus -0.17? -3.67 Add 1780 and 1. 1781 What is the distance between -2301.4 and 0.5? 2301.9 What is -1 take away 11704? -11705 0.5058+4 4....
{ "pile_set_name": "DM Mathematics" }
nd derivative of n(l). Let j(f) = 0. Calculate f. -2, 0 Let g(j) be the second derivative of -j**7/14 + 12*j**6/5 - 9*j**5 - 37*j**4/2 + 237*j**3/2 - 189*j**2 - 20*j - 324. What is d in g(d) = 0? -2, 1, 3, 21 Let z(g) = -g**3 - g. Let j(c) = c**3 + 3*c**2 - 3*c. Suppose 4*b - 5*d = 2*b + 81, 0 = -4*d + 20. Suppose b = ...
{ "pile_set_name": "DM Mathematics" }
= 112*f - 121*f. What are the prime factors of f? 2, 41 Let d = 205 - -1006. What are the prime factors of d? 7, 173 Let d = 61 - 59. List the prime factors of (0 - 3/d)/((-2)/212). 3, 53 Let j be ((-25)/(-10) + -2)*122. Suppose -g + 0*g = -j. List the prime factors of g. 61 Let i(f) = f**2 - 2*f - 10. Suppose -3*w + ...
{ "pile_set_name": "DM Mathematics" }
d)*(d**2 + 0*d**2 - 3*d**2) - 51*d**3 - 29*d**3 + 23*d**3. -55*d**3 Expand (2 + 1 - 2)*(82*v - 98 + 98). 82*v Expand (a - 3 + 3)*(a - a + a**2) - a**2 + 0*a**3 + 45 + a**3 - 35. 2*a**3 - a**2 + 10 Expand (942 - 942 + 205*q)*(-5*q + q + 8*q)*(1 - 2 - 1). -1640*q**2 Expand 48 + 39*x + 22*x - 48 + 4*x - 6*x + 0*x + (-2 +...
{ "pile_set_name": "DM Mathematics" }
2 + 3) + 21*d + 8*d - 173*d. -146*d Expand (-11*d - 12*d + 22*d + 28)*(-2 - 10 - 12). 24*d - 672 Expand 17*v**2 - 2*v**2 - 4*v**2 - v**2 + v**2 - v**2 + (-1 + 1 - v)*(-4 + 4*v + 1 - 6*v). 12*v**2 + 3*v Expand (-3 - 1 + 3 + (-4 + 5 + 1)*(3 - 2 - 3))*(-2*b**2 + 0*b**2 + 0*b**2)*(-34*b**3 + 13*b**3 - 20*b**3). -410*b**5 E...
{ "pile_set_name": "DM Mathematics" }