text
stringlengths
270
8.19k
meta
dict
p? 0, 1 Suppose 34*b - 117*b = -38*b. Let -4/5 - 6/5*g + b*g**2 + 2/5*g**3 = 0. Calculate g. -1, 2 Let b = -1033/18 + 584/9. Solve -5*i + 0 + 25/2*i**3 + b*i**2 = 0. -1, 0, 2/5 Factor 0 + 2*f - 1/3*f**4 - 2*f**3 + 1/3*f**2. -f*(f - 1)*(f + 1)*(f + 6)/3 Let b(c) = c**2 - 17*c + 10. Let v(n) = -2*n**2 + 52*n - 29. Suppos...
{ "pile_set_name": "DM Mathematics" }
37, -4*q - 465 = 13*m - 14*m. List the prime factors of m. 3, 53 Let v = -1695 + 4378. What are the prime factors of v? 2683 What are the prime factors of (-4 + 1256)*(6/(-4) - -2)? 2, 313 Let o(b) = -b**2 + 17*b + 66. Suppose 8*l - 126 = 10. What are the prime factors of o(l)? 2, 3, 11 Let o(p) = p**2 - 12*p - 14. Let...
{ "pile_set_name": "DM Mathematics" }
5 (c) -5 (d) -10 (e) 3 (f) 2/47 (g) 0 g What is the sixth smallest value in 20/19, -5, 0.3, 0, 455, 1/4? 455 What is the sixth biggest value in -144, 2/7, 11, -2/15, -458/3, -2/13? -458/3 Which is the smallest value? (a) -0.2 (b) -117410 (c) 35 b What is the fifth biggest value in 0.05949, 1, -2/7, -1, -3, 6? -...
{ "pile_set_name": "DM Mathematics" }
+ 30*p - 61. Let f be x(19). Suppose 0 = 2*g + 4*o - 5630 - f, 3*g - 4*o - 25985 = 0. Is g prime? True Let n = -16 + 17. Let i be -482*10/(-4) + n. Suppose -7*a = 359 - i. Is a prime? False Suppose -4*f - 2259 = -q + 15, -2*q + f = -4527. Let z = 4076 - q. Is z prime? False Suppose 4*p - 4*h + 8936 = 2*p, -2*h - 8912 ...
{ "pile_set_name": "DM Mathematics" }
*4 + 8*o**3 + 10 - w*o**2 + 128*o. Factor v(q). -2*(q - 4)**3 Let j(n) be the first derivative of -6*n**2 - 21/2*n + 8 - 1/2*n**3. Factor j(w). -3*(w + 1)*(w + 7)/2 Let q(s) be the third derivative of -s**5/180 + 13*s**4/18 - 32*s**3/3 - 1009*s**2. What is p in q(p) = 0? 4, 48 Let g be 7 + (-6)/(-6)*30. Suppose -11*j =...
{ "pile_set_name": "DM Mathematics" }
r) wrt r. 5878 Let a be 3/1 - (-60)/30. Find the second derivative of 14*k**5 + 4 + 7*k**5 - 4*k - 6*k + 27*k**a wrt k. 960*k**3 Differentiate -1875 - 619*c**2 + 361*c**2 - 1558*c**4 - 266*c**4 + 258*c**2 with respect to c. -7296*c**3 Let n be (0 + 3/(-5))*(-3 + 8). Let l be ((-80)/(-60))/((-2)/n - 0). Find the third d...
{ "pile_set_name": "DM Mathematics" }
6*r Collect the terms in 41690335 - 41690335 + 2*i. 2*i Collect the terms in 92898*s**3 - 5 + 5. 92898*s**3 Collect the terms in 405*k**3 + 255 + 258 - 516. 405*k**3 - 3 Collect the terms in -247 + 256 - 6*x + 7*x. x + 9 Collect the terms in 76*f**2 - 2449*f**2 - 481*f**2 - 77*f**2. -2931*f**2 Collect the terms in -839...
{ "pile_set_name": "DM Mathematics" }
n) = k(n) - 4*q(n). Solve w(z) = 0 for z. -1, 5 Let k be (-26)/5 - -14*(-11)/(-22). Solve -9/5*g**3 - 21/5*g**2 + k*g + 3*g**4 + 6/5 = 0. -1, -2/5, 1 Let c(j) be the third derivative of -j**6/660 + j**5/30 + 7*j**4/22 + 394*j**2. Determine w so that c(w) = 0. -3, 0, 14 Let z(j) = -16*j**5 - 150*j**4 + 37*j**3 - 9*j**2 ...
{ "pile_set_name": "DM Mathematics" }
4*a = 3*t - 8, -5*t + 4 + 1 = -5*a. List the prime factors of l(a). 2, 5 Suppose -t - k + 419 = 0, 14*k - 16*k - 846 = -2*t. What are the prime factors of t? 421 Let t(j) = -j**2 + 7*j - 10. Let s be t(5). Suppose s = 4*g - 0*g - 112. What are the prime factors of g? 2, 7 Let j(h) = -h**3 - 5*h**2 + 6*h - 2. Let d be ...
{ "pile_set_name": "DM Mathematics" }
is divided by 403. 63 What is the remainder when 35885 is divided by 255? 185 What is the remainder when 11412 is divided by 5704? 4 Calculate the remainder when 25654 is divided by 242. 2 Calculate the remainder when 121023 is divided by 25. 23 What is the remainder when 54703 is divided by 99? 55 What is the remaind...
{ "pile_set_name": "DM Mathematics" }
n 140991 is divided by 235. 226 Calculate the remainder when 5455 is divided by 5175. 280 What is the remainder when 36100 is divided by 46? 36 Calculate the remainder when 125 is divided by 92. 33 Calculate the remainder when 1782 is divided by 123. 60 What is the remainder when 38877 is divided by 19429? 19 What is t...
{ "pile_set_name": "DM Mathematics" }
factor of 27111 and 168? 21 Calculate the greatest common divisor of 3340 and 115. 5 Calculate the highest common factor of 38482 and 7668. 142 Calculate the highest common factor of 6050 and 400. 50 What is the greatest common divisor of 19736 and 232? 8 Calculate the highest common factor of 1274 and 416. 26 Calculat...
{ "pile_set_name": "DM Mathematics" }
-4*b - 17*v, 29*b - 6 = 30*b - 4*v + 1 for b. 1 Solve -19*q - 27*q + 4*k = -93*q + 48*q + 43, 4*q + 3*k - 56 = -0*q for q. 5 Solve -5*b + 2*b - 224 = -13*l - b, l = 2*l + 4*b + 394 for l. 2 Solve -2*j + 5*j - 13 = 3*l - 10, -42*j = -3*l - 237 for j. 6 Solve 111*b - 5*i + 70 = 116*b - 4*i, -10 = -2*i for b. 13 Solve 58...
{ "pile_set_name": "DM Mathematics" }
3, -477360? -477357 What is the next term in -939, -7989, -27533, -65949, -129615? -224909 What is the next term in -380861, -762755, -1144649? -1526543 What comes next: 14898752, 14898751, 14898750? 14898749 What comes next: 6348039, 12696071, 19044103? 25392135 What is next in 18667, 149344, 504057, 1194826, 2333671,...
{ "pile_set_name": "DM Mathematics" }
+ 4)*(7*c**3 + c**3 - 4*c**3) + 2*c**4 + c**4 - 2*c**4). -24*c**5 Expand (10*b + 2*b - 15*b)*(2*b - 7*b + b) + b**2 - b**2 + 2*b**2. 14*b**2 Expand (-11 + 10 - 6)*(p + 284 - 297 - 3*p). 14*p + 91 Expand 11*y - 5*y + 6*y + (-2*y + y + 0*y)*(-7 + 3 - 4). 20*y Expand (5*p + 6*p + 2*p)*(2*p**3 - 3*p**3 - p**3)*(-2*p + 5*p ...
{ "pile_set_name": "DM Mathematics" }
emainder when 50288 is divided by 47? 45 What is the remainder when 98266 is divided by 2233? 14 Calculate the remainder when 19495 is divided by 1946. 35 Calculate the remainder when 110918 is divided by 798. 794 Calculate the remainder when 295313 is divided by 298. 293 What is the remainder when 84425 is divided by ...
{ "pile_set_name": "DM Mathematics" }
dps. -162 Let f = 33701500 - 33701458.9999924. Let k = 0.094 - 41.094. Let c = k + f. What is c rounded to six dps? 0.000008 Let q = 852.487 - 852. Let f = q - 0.48696112. What is f rounded to 6 decimal places? 0.000039 Let y = 722454 - 722512.00048. Let h = y + 58. Round h to 3 decimal places. 0 Let f = -30646 + 1379...
{ "pile_set_name": "DM Mathematics" }
that v(g) = 0. -196, 0, 2 Let s(d) be the third derivative of d**6/36 + 5*d**5/8 - 5*d**4/3 - 37*d**3/2 - 36*d**2 + 4. Let n(u) be the first derivative of s(u). Factor n(t). 5*(t + 8)*(2*t - 1) Let c = 371583 + -1857813/5. Find b, given that 9*b**4 + 24/5*b + c*b**3 + 7/5*b**5 + 0 + 92/5*b**2 = 0. -2, -3/7, 0 Let f = -...
{ "pile_set_name": "DM Mathematics" }
-2 + (1 + -1 - 4). Let g be f*(-4)/((-12)/(-9)). Suppose 0 = -3*k - g + 3. Sort -1/2, k, 4. k, -1/2, 4 Let x(z) = 5*z - 3*z - z. Let h be 3/(-6)*2/(-1). Let f be x(h). Put 0, -2, f in decreasing order. f, 0, -2 Let y = -2 + 2.02. Let w = 1.02 - y. Sort -3/7, -2/3, w. -2/3, -3/7, w Let b be -6*(-1 + ((-126)/16)/(-9)). P...
{ "pile_set_name": "DM Mathematics" }
t o(m) = 5226*m - 67936. Calculate the smallest common multiple of o(13) and (42/(-5))/(z/10). 42 Calculate the common denominator of -155/528 and (-2)/20 - (5/(-3600))/((-396)/(-24792)). 4752 Let s be ((-9)/6)/(-3)*2222. Suppose 0 = 2*t + 3841 - s. What is the common denominator of (2/18)/(-1)*t/10 and 46/11? 66 What ...
{ "pile_set_name": "DM Mathematics" }
the power of 1/5, to the nearest integer? 68 What is 24565855 to the power of 1/3, to the nearest integer? 291 What is 503166623 to the power of 1/3, to the nearest integer? 795 What is 9980605 to the power of 1/5, to the nearest integer? 25 What is the eighth root of 53572984 to the nearest integer? 9 What is the nin...
{ "pile_set_name": "DM Mathematics" }
v**2 Let k(l) = 19*l**2 - 3. Let j(q) = 18*q**2. Give k(j(a)). 6156*a**4 - 3 Let a(i) = -3*i**2. Let s be (-1264)/(-14) + 2/(-7). Let t(r) = s*r - 90*r - 4*r**2. What is a(t(h))? -48*h**4 Let i(f) = -f. Let n(w) = 24*w**2 + 2*w. Calculate n(i(d)). 24*d**2 - 2*d Let k(j) = 2*j. Let q(w) be the third derivative of -w**4/...
{ "pile_set_name": "DM Mathematics" }
13). Solve -6*i - 6 - q = 0 for i. -5 Let a(g) = g**3 - 8*g**2 + 9*g + 20. Let v be a(6). Suppose -4*h + 8 = -v*c, 0 = 2*h + 4*c - 24. Solve 2 + 14 = h*j for j. 4 Let g(x) = -8*x - 2*x**2 + 14 + x**2 + 6*x + 0*x. Let n be g(-4). Solve -26 = -5*v - n for v. 4 Suppose 3*r + a + 8 = -a, -5*r - 16 = 4*a. Let q(l) = l - 9. ...
{ "pile_set_name": "DM Mathematics" }
rivative of -137*n**3 - 25*n**3 + 92*n**2 + 41*n**3 + m*n**3 wrt n. -708 Let y(q) be the third derivative of q**8/336 + 11*q**6/20 - 353*q**4/24 + 722*q**2. Find the second derivative of y(t) wrt t. 20*t**3 + 396*t Let d(c) = -603 + 613 - 147*c - 7*c + 275*c**2. Let v(z) = -413*z**2 + 231*z - 16. Let u(s) = 8*d(s) + 5*...
{ "pile_set_name": "DM Mathematics" }
2 Let m(o) = o**2 + 5*o. Let y = -110 + 106. Calculate m(y). -4 Let t = 5 - -1. Let x(k) = -k**2 + 6*k + 1. Determine x(t). 1 Let o(q) = -q**2 - q. Let m = -15 + 17. Let j = -3 + m. What is o(j)? 0 Let v(n) = n**2 + 3*n + 3. Let z(u) = -u**3 - 8*u**2 + 3*u + 19. Let m be z(-8). Give v(m). 13 Suppose -5 = -2*f - 1. Let...
{ "pile_set_name": "DM Mathematics" }
uppose -3*r - 51 = 3*l, -6*r - 40 = -r - b*l. Let k be -2 - r - 1 - 0. Solve s = -2*s + k for s. 3 Let d(b) = b**3 - 7*b**2 - 9*b + 11. Let j be d(8). Suppose 0 = -4*c + 4. Solve s = c - j for s. -2 Let n = -4 - -4. Let b = 2 + n. Suppose 5*s - 3*c + 2*c - 28 = 0, -b*s + 2*c = -16. Solve -s*y = -y - 12 for y. 3 Suppose...
{ "pile_set_name": "DM Mathematics" }
/9 + h. What is the second biggest value in t, 3, 5/2? 5/2 Let i(q) = 2*q - 2 + q**2 - 3*q**2 + q**2 - 1 + 7*q**3 - q**2. Let k be i(1). Which is the smallest value? (a) k (b) -1/6 (c) -1/2 (d) 0 c Let y = -0.19 - -0.12. Let w = y + -0.33. Let p = -1979/7932 - 1/1983. Which is the second biggest value? (a) p (b) ...
{ "pile_set_name": "DM Mathematics" }
20*n**2 - 4 What is the second derivative of c**3*s**2 - 5*c**3 + 13*c**2*s**2 - 2*c**2 - 10*c + 29*s**2 wrt c? 6*c*s**2 - 30*c + 26*s**2 - 4 What is the third derivative of 34*b*h**3*z**3 + b*z**2 + 38*b + 94*h**3*z**3 + 2*h**3*z - 3*h*z**2 wrt z? 204*b*h**3 + 564*h**3 Find the third derivative of -6*d**4*i - 2*d**3*...
{ "pile_set_name": "DM Mathematics" }
j. Suppose -2*n + 4*n = p, 3*n - p = y. Solve -2*t = 4*b + 14, n + 9 = -t - 4*b for t. -3 Let g = -262 + 254. Let k be (-2 - g/6)/(4/(-24)). Solve 12 = -2*u + k*t - 2, u - 5 = -t for u. 1 Let r = 16 + -9. Suppose 5*h = 2*k + 6, -8 = 27*k - 26*k - 5*h. Solve y + k*z - r = 6*y, -2*y + z - 2 = 0 for y. -3 Suppose -i - 13*...
{ "pile_set_name": "DM Mathematics" }
4. Let a(d) = 2*h(d) + 5*u(d). Let t(x) = -65*x**2. Determine t(a(l)). -65*l**2 Let f(s) = -s. Let i(z) = -z**2 - 4*z + 7. Suppose 4*t = 16 - 36. Let g be i(t). Let a(q) = -5*q**2 - 2*q**g + 2*q**2. What is a(f(y))? -5*y**2 Let q(j) = -j**2. Let v(x) be the first derivative of -9*x**2/2 + 908*x - 6707. What is q(v(m))?...
{ "pile_set_name": "DM Mathematics" }
4). Calculate the remainder when 15 is divided by y - (9/m - -5). 3 Let q be 10/3*(-6)/(-5). Suppose 2*h = -4*j + 78, -2*j + q*h = -18 - 16. Suppose 10*r - 110 = 8*r. What is the remainder when r is divided by j? 17 Let s(l) = -4*l - 38. Suppose 4*g - y = 33, 3 = -y + 6. What is the remainder when g is divided by s(-11...
{ "pile_set_name": "DM Mathematics" }
7*p**5/60 - 5*p**2. Let v(n) be the third derivative of u(n). What is the units digit of v(-4)? 5 Suppose 0 = 15*h - 10*h - 1175. Let c = h - 2. What is the hundreds digit of c? 2 Let n = 488 - 116. Suppose 4*w = -4*l + 2*l - n, l - 4 = 0. What is the tens digit of (-2)/5 + (-5738)/w? 6 Suppose -21*u + 33765 = -13758....
{ "pile_set_name": "DM Mathematics" }
+ 62, -47*f + 74*f - 2*a = 23*f + 20 for f. -4 Solve -3109*s + 3115*s + 5*i = -53, -s = 4*i + 12 for s. -8 Solve -2*s - 3*s - 152*g + 15 = 114*g - 268*g, 0 = 5*s + 4*g - 15 for s. 3 Solve 6*v - 165 = -3*p, -1152 = 3*v - 2*v + 5*p - 1202 for v. 25 Solve -2228 = -4*h - 11*j - 2192, -h + 3*j - 6 = -4*h for h. -2 Solve y ...
{ "pile_set_name": "DM Mathematics" }
- 60 = 0 for r. -6, -2, -1 Find b, given that -4*b**3 + 696*b**2 - 30276*b = 0. 0, 87 Factor -c**2/5 - 12*c + 61/5. -(c - 1)*(c + 61)/5 Factor -d**2 + 66*d - 1089. -(d - 33)**2 Factor -5*c**3 + 1955*c**2 + 3930*c. -5*c*(c - 393)*(c + 2) Solve 2*l**3/19 + 108*l**2/19 - 6*l - 220/19 = 0. -55, -1, 2 Let -3*z**3 - 63*z**2...
{ "pile_set_name": "DM Mathematics" }
tive of -2978058*d**3*k + 2*d**3 + 3*d**2 - d - 79 wrt k? -2978058*d**3 What is the second derivative of 1309881*k**4 + 157268*k - 24? 15718572*k**2 Find the third derivative of -9*d*h**3*o*s - 756*d*h**2 + 2*d*o*s - 361*h**3*o + 62*h**3*s**2 + 2*h**2*o*s - 2*h**2*s**2 - 3*h*o*s**2 + 5*h*o wrt h. -54*d*o*s - 2166*o + 3...
{ "pile_set_name": "DM Mathematics" }
+ 3 - 2*l. What is the first derivative of j(w) wrt w? 2 What is the third derivative of -15*b**4 - 2*b**2 + 6*b**3 - 10*b**3 + 4*b**3 wrt b? -360*b Suppose 3*n + 3 = 9. Suppose -5*a = -3*g - 39, 4*g = -4*a + 19 - 7. What is the third derivative of i**6 + 5*i**2 - 2*i**a - 2*i**n wrt i? -120*i**3 Let i(v) = 2*v**2 - 5...
{ "pile_set_name": "DM Mathematics" }
? True Is 1111290 a multiple of 170? True Does 18 divide 169686? True Does 14 divide 1569064? True Is 96 a factor of 144864? True Does 2 divide 272880? True Is 6947160 a multiple of 22? True Is 6 a factor of 560658? True Is 92 a factor of 39468? True Is 15 a factor of 460635? True Is 154 a factor of 188532? False Does ...
{ "pile_set_name": "DM Mathematics" }
4.13856? 277.655424 Product of 86.4919 and -0.082. -7.0923358 Work out 2583.3 * -54.545. -140906.0985 What is the product of -250 and 15.036? -3759 What is the product of -0.001743 and -1451? 2.529093 Multiply -7 and 331401.94. -2319813.58 -10 * -6690052 66900520 Multiply -1755.313 and -16. 28085.008 0.2 * -25191605 -5...
{ "pile_set_name": "DM Mathematics" }
59). -6 Let q(d) = -d**3 - 140*d**2 - 27*d - 3779. What is q(-140)? 1 Let x(d) = -5*d**3 - 21*d**2 + 19*d + 38. Determine x(5). -1017 Let l(k) = 95*k + 6538. Determine l(-69). -17 Let c(k) = 44*k**3 + k**2 + 450*k - 452. Give c(1). 43 Let t(y) = y**3 - 21*y**2 + 79*y - 12. What is t(4)? 32 Let h(n) = -n**3 + 99*n**2 - ...
{ "pile_set_name": "DM Mathematics" }
1/88 Four letters picked without replacement from lacaacawacll. What is prob of sequence cwll? 1/660 Two letters picked without replacement from {d: 2, l: 2, k: 1, c: 1, y: 2}. Give prob of sequence cl. 1/28 Two letters picked without replacement from dswywddyiy. What is prob of sequence sy? 1/30 Four letters picked wi...
{ "pile_set_name": "DM Mathematics" }
r(z)? -1 Let m(t) = 4*t. Let u(r) = -2*r**3 + 4*r**2 - 3*r. Let f be u(3). Let y = -28 - f. Determine m(y). -4 Let r(b) = -b + 6. Let q be 12/(-9)*9/(-2). Let x be r(q). Let t(p) = 6*p + 2. Let u(o) = -o. Let l(m) = t(m) + 5*u(m). Give l(x). 2 Suppose -2*a - 2*d - 16 = 8, 3*d = -4*a - 48. Let z = -9 - a. Let w(c) be th...
{ "pile_set_name": "DM Mathematics" }
0 - 10 + 6*r - r. Determine c(p(u)). -25*u**2 Let g(i) = -i**2. Let m(d) = 2*d + 7. Let k = 2 - 9. Let v(b) = b + 4. Let z(f) = k*v(f) + 4*m(f). What is g(z(x))? -x**2 Let k(t) = 2*t**2 - 8*t - 8. Let m(a) = -a**2 + 5*a + 5. Let q(s) = -5*k(s) - 8*m(s). Let y(x) = 13*x. Determine q(y(c)). -338*c**2 Let t(c) = 3*c**2. L...
{ "pile_set_name": "DM Mathematics" }
445)/5*(-5)/7*819/(-585)? -89 Calculate ((1/(-4))/((-10)/(-160)))/(-4)*(-68)/4. -17 Calculate (-10)/(10080/(-462))*(-16)/(-2). 11/3 Evaluate ((-21)/14)/((-6)/(3*(-144)/(-243))). 4/9 Calculate (-1974)/(-35)*((-140)/(-14))/(-150)*150/(-6). 94 Calculate 138/50*2*104415/62649. 46/5 Evaluate (14/(-3)*2/(-36))/(13538/11604)....
{ "pile_set_name": "DM Mathematics" }
**2 Find the second derivative of -5*c**5 + 4259*c**2 - 32119*c. -100*c**3 + 8518 Find the second derivative of -2264899*a**3*d + 30*a*d - 7803*a + 1 wrt a. -13589394*a*d What is the first derivative of -87387*q**3*v - 89648*q**3 wrt v? -87387*q**3 Find the third derivative of 18856*l**4 - 2*l**2 + 15595 wrt l. 452544*...
{ "pile_set_name": "DM Mathematics" }
000001 Let u = -28 - -28.0000172. What is u rounded to six dps? 0.000017 Let j = 9372850 + -9372827.999964. Let b = 28 + -50. Let t = j + b. Round t to 5 dps. 0.00004 Let b = 2396769 + -2396769.4200122. Let w = b + 0.42. What is w rounded to six dps? -0.000012 Suppose -5*i - z + 24 = 0, -3*z + 0*z = -5*i + 28. Suppose ...
{ "pile_set_name": "DM Mathematics" }
e (-5 - (-31)/7)/2. Let u = -0.31 - -0.1. Let j = u + -0.29. What is the nearest to -1/4 in -2, f, j? f Let s = 981 + -983.26. Let n = 1.96 + s. Which is the nearest to 0? (a) -2/13 (b) n (c) -8 (d) -0.5 a Let x be 42/(-20) - (-6)/15*-1. Which is the nearest to 1? (a) 0.05 (b) 2 (c) x (d) -4 a Let s = 231 - 231...
{ "pile_set_name": "DM Mathematics" }
is 11000 - -11022? 22022 In base 3, what is -1 - -21022010? 21022002 In base 15, what is 0 + -cc? -cc In base 10, what is -51 + 74? 23 In base 14, what is 14 + -c? 6 In base 16, what is -33 + a? -29 In base 6, what is -23123 - 5? -23132 In base 10, what is 18 - 39? -21 In base 3, what is 2 + 2011022? 2011101 In base 6,...
{ "pile_set_name": "DM Mathematics" }
r + 1197. What is 1197*h(s) + 2*q(s)? 171*s**2 Let p(a) = -24*a**2 - 9*a + 9. Let r be (-78)/(-975) - 27/25. Let u be 20/(-8)*(r - (-2)/10). Let d(x) = -6*x**2 - 2*x + 2. Give u*p(i) - 9*d(i). 6*i**2 Let s(a) = 1260*a**2 + 14*a - 462. Let c(j) = 97*j**2 + j - 36. Calculate 77*c(p) - 6*s(p). -91*p**2 - 7*p Let t(f) = 2*...
{ "pile_set_name": "DM Mathematics" }
+ 1)*(2*v + 1)/3 Suppose -321*n + 633 = 207*n - 829 + 406. Suppose -5*z + 15 = -10. Solve 24*q**4 + 33/2*q - 21/2*q**z - 21*q**n - 6*q**3 - 3 = 0 for q. -1, 2/7, 1 Factor 61357/3*h**2 + 49/12*h**4 + 274576/3 + 595*h**3 - 89080*h. (h - 2)**2*(7*h + 524)**2/12 Let b(w) be the second derivative of -w**6/15 + 2*w**5/5 - 5*...
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 159 is divided by 26. 3 What is the remainder when 5375 is divided by 256? 255 Calculate the remainder when 197 is divided by 53. 38 Calculate the remainder when 440 is divided by 13. 11 What is the remainder when 246 is divided by 3? 0 Calculate the remainder when 70 is divided by 45. 25 ...
{ "pile_set_name": "DM Mathematics" }
038 Let -2*m**4/3 + 42068*m**3/3 - 601914*m**2 + 3610596*m - 3022704 = 0. Calculate m. 1, 6, 36, 20991 Factor u**3/4 - 1861*u**2/2 + 377295*u/4 - 1850607/2. (u - 3618)*(u - 93)*(u - 11)/4 Factor w**2/2 + 141451*w/2 + 3322994. (w + 47)*(w + 141404)/2 Find y such that -5*y**3 - 40887*y**2 + 270086*y + 114576 = 0. -8184, ...
{ "pile_set_name": "DM Mathematics" }
d 3:32 PM? 194 What is 270 minutes after 4:38 PM? 9:08 PM How many minutes are there between 6:33 PM and 11:33 PM? 300 How many minutes are there between 5:11 PM and 7:49 PM? 158 How many minutes are there between 11:42 PM and 6:07 AM? 385 How many minutes are there between 11:08 AM and 7:58 PM? 530 How many minutes ar...
{ "pile_set_name": "DM Mathematics" }
264 = 0. Find the common denominator of 45/8 and (-6)/(g/308) + 1. 8 Let i = 7264/23 - 1049305/3312. Calculate the common denominator of i and -121/72. 144 Suppose p = 5*v - p - 35, 5*v - 5*p - 50 = 0. Suppose v*z + 24 = 44. Calculate the lowest common multiple of 4 and z. 4 Let b = -15/28 + 37/252. What is the common ...
{ "pile_set_name": "DM Mathematics" }
'th term of -13, -17, -1, 47, 139, 287, 503, 799? 2*t**3 - 2*t**2 - 12*t - 1 What is the w'th term of -14567, -14553, -14521, -14465, -14379, -14257, -14093, -13881? w**3 + 3*w**2 - 2*w - 14569 What is the y'th term of -7, 3, 9, 5, -15, -57, -127, -231? -y**3 + 4*y**2 + 5*y - 15 What is the x'th term of 210, 265, 320, ...
{ "pile_set_name": "DM Mathematics" }
d(j) = 22*j - 6. Let p be d(r). Calculate the remainder when o(p) is divided by 23. 12 Let o = -447 + 635. Let i(m) = -m**3 - 36*m**2 + 93*m + 2110. What is the remainder when o is divided by i(-37)? 36 Suppose -434 = -5*z - 4*s, -6*s = 3*z - 4*s - 258. What is the remainder when 316 is divided by z? 70 Let j(v) = 131*...
{ "pile_set_name": "DM Mathematics" }
+ g*b**4 + f + a*b + w*b**2 and give a. -2 Express 2*f**3 - 7*f**2 - 1 - 1080404*f - 11*f**4 + 1080404*f as n + i*f**4 + h*f**3 + m*f**2 + c*f and give n. -1 Rearrange 108812*u**2 + 2*u + 7*u**3 + 12 - 54407*u**2 - 54392*u**2 to the form f + d*u**2 + m*u**3 + n*u and give n. 2 Express 2385*u**2 + 2394*u**2 - u**3 - 477...
{ "pile_set_name": "DM Mathematics" }
Let w(n) be the first derivative of 9*n + 151 + 1/2*n**2. What is w(f(c))? 3*c**2 + 9 Let f(o) = 2421659*o. Let j(v) = 24*v. Calculate f(j(r)). 58119816*r Let q(r) be the first derivative of -r**3 + 15. Let y(o) = 72*o + 1459 - 1459 + 65*o. Calculate q(y(g)). -56307*g**2 Let z(d) = 3*d**2. Let h(s) = -7*s**2 - s - 1193...
{ "pile_set_name": "DM Mathematics" }
= -24*z. Let c be q(2). Let w = c - -91. Let s = -585 - -710. What is the remainder when s is divided by w? 39 Suppose 17*a - 360 = 9*a. Let h = 91 - a. What is the remainder when h is divided by (-240)/(-36)*((-15)/(-4) - 0)? 21 Suppose 53*o = -39*o + 16*o + 304. What is the remainder when o is divided by 1? 0 Let k(...
{ "pile_set_name": "DM Mathematics" }
+ (1 - 0) - -7) + -4? 2 (-5 - 2) + -2 + (-5 - -10) -4 What is 3 - (-2 + 0 - -1 - -3)? 1 What is (5 - (6 - -3 - 5)) + -2? -1 Evaluate -4 - (-1 + (-13 - -9)). 1 Calculate 2 + (2 - 1) + 3 + -4. 2 Calculate -21 - -25 - (0 - (1 - 10)). -5 Calculate -44 + 42 + (-2 + 1 - 0). -3 0 - -5 - (2 + 7 + -11) 7 -4 + -8 + 5 + 7 0 Eval...
{ "pile_set_name": "DM Mathematics" }
43/8. 40 Let x = -40841/38 + 1075. What is the common denominator of x and -107/10? 190 Let v = 1260535/97 + -12995. What is the common denominator of v and 17/10? 970 Let k(j) = j**3 + 7*j**2 - 7*j + 5. Let c be k(-8). Let m(z) = -3*z. Let t be m(c). What is the common denominator of -2 + 73/t + 0 and 1/7? 63 Let v = ...
{ "pile_set_name": "DM Mathematics" }
2 Let r(v) be the first derivative of 0*v**2 + 6 + 1/3*v**3 + 0*v. Let z(c) = 9*c**2 + 30*c - 30*c + 2*c**2. What is z(r(l))? 11*l**4 Let s(f) be the first derivative of 7*f**2/2 + 12. Let j(k) be the third derivative of 1/24*k**4 - k**2 + 0*k + 0 + 0*k**3. Calculate s(j(o)). 7*o Let q(c) = -2 - 6 - 6*c - 2*c + 8*c - 2...
{ "pile_set_name": "DM Mathematics" }
212 4708 (base 10) to base 11 35a0 -312013 (base 6) to base 5 -1300230 999 (base 10) to base 16 3e7 What is -10111021 (base 3) in base 9? -3437 What is -2c1 (base 13) in base 2? -111101111 What is 122 (base 5) in base 3? 1101 2b66 (base 12) to base 3 21000120 Convert -2120111 (base 4) to base 9. -14332 -1608a (base 12)...
{ "pile_set_name": "DM Mathematics" }
vide m(170)? True Suppose -3*d + 10 = 2*d. Suppose d*x = v - 6 + 20, 4*x - 18 = v. Does 3 divide (-122)/(-2) - (v - -11)? True Suppose 36 = 9*u - 18*u. Let r be 136 - (u - (0 + (-2 - -1))). Let n = -47 + r. Is 13 a factor of n? False Let r be 3*(6 + (-114)/18)*6. Does 3 divide ((1 - 3)/6)/(r/1062)? False Suppose -91872...
{ "pile_set_name": "DM Mathematics" }
98 = -5*v + u. What is the highest common divisor of 22 and v? 11 Let u(s) = -s**3 + 3*s**2 + 20*s - 9. Let m be u(7). Let x = m + 85. What is the greatest common factor of x and 70? 10 Let k = 321 + -166. Let v(g) = -g**3 - 36*g**2 - 3*g - 46. Let a be v(-36). What is the highest common divisor of k and a? 31 Let y be...
{ "pile_set_name": "DM Mathematics" }
is the o'th term of 239380, 239383, 239386, 239389, 239392, 239395? 3*o + 239377 What is the l'th term of -5688, -11343, -16998, -22653? -5655*l - 33 What is the l'th term of -76676, -76674, -76672? 2*l - 76678 What is the l'th term of 49364, 49371, 49376, 49379? -l**2 + 10*l + 49355 What is the t'th term of 39239, 156...
{ "pile_set_name": "DM Mathematics" }
ind the second derivative of 23134688*d**5 + 4*d**4 - d**2 + 379182618*d + 2 wrt d. 462693760*d**3 + 48*d**2 - 2 Find the third derivative of 31*a**4 + 152*a**3*s**2 + 26*a**3 + 6*a**2*s**2 + 9*a**2 - a*s**2 + 16*a - 5*s wrt a. 744*a + 912*s**2 + 156 What is the third derivative of q**3*y**2 - 152755*q**3*y - 578*q**3 ...
{ "pile_set_name": "DM Mathematics" }
1 or -507317? 1 Is 125/174 greater than -0.1? True Is -24/5 greater than -0.0408? False Is 3061394 < 3061395? True Is 1685593 greater than 1685596? False Which is smaller: -7509257 or -7509256? -7509257 Is -124988 bigger than -124989? True Which is greater: -1095275 or -1095274? -1095274 Is 124594 greater than -4? True...
{ "pile_set_name": "DM Mathematics" }
= -601 + 1702 - 1101 + 2*q**2. Determine h(o(m)). 8*m**4 + 54 Let x(u) = -2*u**2 - 105*u - 1425. Let m(z) = -252*z. Give m(x(g)). 504*g**2 + 26460*g + 359100 Let t be (19 - (-20)/(-4))*(-2)/(-4). Suppose t*h - 28 = 3*h. Let c(m) = 8*m + 3*m - h*m. Let x(l) = l. What is c(x(d))? 4*d Let y(z) = -31*z**2. Suppose 3*n = -...
{ "pile_set_name": "DM Mathematics" }
atest common divisor of 884 and 40487200? 884 What is the highest common factor of 445858616 and 434? 434 Calculate the highest common divisor of 6230 and 2050265. 35 What is the highest common divisor of 46712582 and 294? 98 What is the highest common divisor of 9024 and 843264? 192 What is the greatest common factor ...
{ "pile_set_name": "DM Mathematics" }
10*p**s - 2*p**2 + 9*p**2. Let l be w(-1). What is the greatest common factor of l and 26? 13 Let u = 0 + 1. Suppose 5*j + 70 = 75. What is the greatest common divisor of u and j? 1 Let s be 2*-1*(-10)/10. What is the highest common divisor of s and 5? 1 Let z(n) be the first derivative of -n**2 + 22*n - 8. Let c be z...
{ "pile_set_name": "DM Mathematics" }
= -33 - -16. Let w = -1758.0013 - -1775. Let d = s + w. What is d rounded to three decimal places? -0.001 Let q = -97.3 - -97.3000408. What is q rounded to five dps? 0.00004 Suppose -5*p - 2*o + 20310 = -6*o, 0 = o. Round p to the nearest one hundred. 4100 Let i = -455.999996055 + 456. What is i rounded to six dps? 0.0...
{ "pile_set_name": "DM Mathematics" }
ose 3*a + i*a = 0. Solve a = s - 2*b - 15, -8*b - 50 = -5*s - 3*b for s. 5 Let l(g) = -g**2 + g + 5. Let z be l(0). Let s(x) = x - 3. Let n be s(z). Solve -3 = -3*a - 3*j, -5*a + 0*a - n*j = -5 for a. 1 Let p = 5 + -7. Let c be ((-3)/(-4))/(p/(-16)). Let d(q) = -q**3 - 10*q**2 + q + 12. Let k be d(-10). Solve z + k*z +...
{ "pile_set_name": "DM Mathematics" }
Suppose m + 4*d - 6 + 22 = 0, 2*m - 4*d - 16 = 0. Sort 1, w, m in ascending order. m, 1, w Suppose -12*t + 5*t - 7 = 0. Let s be (3 + -2)*t*(5 - 2). Put s, 2, 4, 5 in decreasing order. 5, 4, 2, s Let m(a) = -a**3 + 13*a**2 + a - 20. Let i be m(11). Let r = i - 247. Put -3, r, -2, 4 in decreasing order. 4, -2, -3, r Let...
{ "pile_set_name": "DM Mathematics" }
+ 1 - 1)*(0*f**2 - f**2 - f**2). -257*f**2 - 2 Expand -1425*q - 4 + 1609*q - 3 + (2*q + 3*q - 6*q)*(-4 - 1 + 4) + 2*q - q + q. 187*q - 7 Expand (-4 + 5 + 1)*(889*o - 236 + 236 - 4928*o). -8078*o Expand l + 2*l**4 - l - 2*l**4 - 2*l**4 + 2*l**4 + 2*l**4 - 2*l**4 - 3*l**4 + (110 - 246 + 106)*(4*l**4 + 2*l**4 - 5*l**4). -...
{ "pile_set_name": "DM Mathematics" }
when j is divided by d? 4 Let n = 87 + 13. What is the remainder when n is divided by 51? 49 Suppose -o + 50 = 4*o. Suppose -o = -2*m + 2. What is the remainder when 10 is divided by m? 4 Suppose -3*w + 5*w = -48. Let x be -3 + 4/(12/9). Let n = x - w. What is the remainder when n is divided by 9? 6 Let l be 2*(-6)/(-4...
{ "pile_set_name": "DM Mathematics" }
out replacement from {t: 5, h: 14}. Give prob of picking 1 t and 1 h. 70/171 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {x: 6, i: 3, y: 5, q: 2, k: 2}. 10/153 Three letters picked without replacement from {h: 1, u: 4, x: 2}. What is prob of picking 2 x and 1 h? 1/35 Calculate...
{ "pile_set_name": "DM Mathematics" }
-0.05? -31 What is the fourth smallest value in -1/107, 0.13, -0.4, -5, -37, 0.5? -1/107 What is the fifth biggest value in 1, 4, -104, 12, 0, 2? 0 What is the smallest value in 4/5, -7, -2/2699? -7 What is the biggest value in 17.3, 2/753, -4/7? 17.3 What is the smallest value in -5, -101/5, 1, -32? -32 Which is the ...
{ "pile_set_name": "DM Mathematics" }
)? 5 What is the value of 12/(-63)*-3*(-7)/(-6)? 2/3 77/(-28)*-2 + -7 -3/2 Calculate (81/45)/9 + 0/(-3). 1/5 Evaluate 4*(102/(-24) - -4). -1 (2 - (-36)/(-14)) + (-30)/21 -2 Calculate (-38)/285*(-18)/8. 3/10 What is 1/5*13 + 6/15? 3 Evaluate (-286)/99 + (-3)/(-1). 1/9 18/36*(-16)/(-2) 4 Calculate (2/36)/((-4)/6 - -1). 1...
{ "pile_set_name": "DM Mathematics" }
ive. i**(6802/45) Simplify (i/(i/(i**7*i)))/((i*i**(-11))/i)*(i**(-5/3)/i)/i**10 assuming i is positive. i**(19/3) Simplify t**(9/7)/(t*t*t**(-10)/t)*(t**3)**(4/19) assuming t is positive. t**(1452/133) Simplify s**(-1)*s*s/(s/(s*(s*s*s**5*s)/s))*s**(-1)/((((s**(-1/18)*s)/s)/s)/s*s) assuming s is positive. s**(145/18) ...
{ "pile_set_name": "DM Mathematics" }
*g + 66. Does 8 divide g? True Let c = 377 - 210. Let a = -95 + c. Is 12 a factor of a? True Let m(o) = -o**2 + 10*o + 5. Let c be m(10). Let w be 0 - -1 - (-15)/c. Suppose -5*s + 2*f = -60, 2*s - 5*f = w - 1. Is s a multiple of 14? True Suppose -19*h + 29*h = 2380. Does 5 divide h? False Suppose 0 = -0*d + 4*d - 2*n -...
{ "pile_set_name": "DM Mathematics" }
common multiple of a and l. 88 Let j = -10135/18 - -564. Let f be 8/2*(1 + 1 + -4). Find the common denominator of j and ((f/(-21))/(-2))/((-6)/(-36)). 126 Suppose 6*g - 4*m = 4*g - 8, 2*m - 2 = 0. What is the common denominator of 95/8 and g/8*(-196 + 2)? 8 Let s be 0 - (116 - (-2 - -1)). Suppose v - 270 = 4*v. Calcu...
{ "pile_set_name": "DM Mathematics" }
((19 - 31) + 15). 2 Calculate -2 + -8 + (-24 - (1 - -12 - 18)). -29 Evaluate (-13 - -15 - -11) + (-1 - 2) + 2. 12 Calculate -4 + -6 + 9 + -17 + 18. 0 What is (-5 + -8 - -16) + -3? 0 (-145 - -132) + (-4 - (-1 + -28)) 12 What is the value of -2 - -11 - (382 - 389)? 16 Calculate 359 + -335 + -5 + -1 + -1 + 1. 18 What is ...
{ "pile_set_name": "DM Mathematics" }
et m(y) = 2196*y**2 - 56*y - 23. Is m(-11) prime? False Let x be (-1)/2 + 99/6. Let j = x + -10. Suppose -j*m + 974 = -40. Is m a prime number? False Let v be (-6)/(-15) - (-12)/(-5). Let g(n) = 3*n**2 + 10*n - 87. Let i be g(-7). Is (12/i)/(v/85) prime? False Let y = 32 - 18. Suppose -h + 8*h - y = 0. Suppose -18 + 27...
{ "pile_set_name": "DM Mathematics" }
*2)*(s - s + 2*s**3) + 0*s**2 - 2*s**5 + 0*s**2. 5*s**5 Expand (4 - 1 - 2)*(3 - 3 + 2*c**4) - c**4 + 4*c**4 + c**4 - c**4 + 3*c**4 - 4*c**4. 4*c**4 Expand (4*u + 2*u**2 - 4*u)*(-22 + 2*u + 22)*(3*u**2 - 3*u + 3*u). 12*u**5 Expand (0*t + 0*t - 2*t**4)*(3 - 4 + 2) + (3 - 3 - 2)*(0*t**4 + t**4 + 0*t**4). -4*t**4 Expand (-...
{ "pile_set_name": "DM Mathematics" }
h) be the second derivative of -h**4/6 - 9*h**2 - 64*h. Let f(p) = p**2. What is b(f(i))? -2*i**4 - 18 Let k(b) = -1792*b + 2. Let z(x) = -4*x + 8. Calculate z(k(y)). 7168*y Let a(r) = -322*r. Let g(x) = x + 1. Let h(n) = -2*n - 1. Let u(q) = -2*g(q) - 2*h(q). Calculate a(u(o)). -644*o Let h(y) = -97*y**2 + 30*y**2 + 6...
{ "pile_set_name": "DM Mathematics" }
Let j be 7 - (4 + 60/(-8))*-2*15. Which is smaller: j or -112? -112 Let j = -345 - 8. Let a = j - -335. Which is smaller: a or -118/7? a Let r be 0 - -1 - (-847)/(-28). Let a = -1/1695 - -110177/3390. Let z = a + r. Is z equal to 2? False Let h(f) = f**3 - 3*f**2 + f - 5. Let i(o) = -6*o - 1. Let c be i(-1). Let k be h...
{ "pile_set_name": "DM Mathematics" }
st to 32.53? (a) -0.2 (b) 0 (c) -1/2 b What is the closest to -1 in 9, -0.8, 5, -1? -1 Which is the nearest to 2? (a) -2/3 (b) -140/9 (c) -5/3 a What is the nearest to 3/8 in 1/3, 3, 0.3? 1/3 What is the nearest to -0.2 in -9, 4, -3? -3 Which is the closest to 0? (a) -5 (b) -1/8 (c) -0.05 (d) 2/7 c What is th...
{ "pile_set_name": "DM Mathematics" }
b. -386*b What is the second derivative of 2503*l**4 - 2*l**3 - l - 5469 wrt l? 30036*l**2 - 12*l What is the second derivative of -1017*n**3 - 2*n - 148? -6102*n What is the second derivative of 2*b*j**3 + 2*b*j - 26*b + 85*j**3 - 12*j**2 - 3*j - 11 wrt j? 12*b*j + 510*j - 24 Find the third derivative of -1363*h**2*m*...
{ "pile_set_name": "DM Mathematics" }
218 divided by -69 -3322 What is -10115 divided by 16? -10115/16 What is 22792 divided by 7? 3256 715000 divided by -25 -28600 What is -4 divided by -3854? 2/1927 Calculate 87 divided by -1269. -29/423 What is -40 divided by 4257? -40/4257 Calculate 6267 divided by -2. -6267/2 Divide -1856274 by -1158. 1603 Divide 1753...
{ "pile_set_name": "DM Mathematics" }
on factor of 7290 and 9. 9 Calculate the highest common factor of 514 and 8. 2 What is the greatest common factor of 9217 and 65? 13 What is the greatest common divisor of 98 and 112? 14 Calculate the highest common divisor of 12 and 21. 3 What is the highest common factor of 11 and 5313? 11 Calculate the greatest comm...
{ "pile_set_name": "DM Mathematics" }
- 4414 - 21*n**2 + 31*n wrt n? -42 Let q(g) = g**3 - 16*g**2 - 13*g + 1. Let h be q(17). Suppose 0 = x - 428 + h. What is the second derivative of -351*j**4 + 3*j - j**3 + j**3 + x*j**4 wrt j? 96*j**2 Let w(z) be the second derivative of 5/3*z**3 + 0 + 0*z**2 + 2/5*z**5 - 3*z + 0*z**4. What is the second derivative of ...
{ "pile_set_name": "DM Mathematics" }
3*q - 730 = -733. Let y = 3.1 - 4.4. Which is the closest to q? (a) -4 (b) 0.4 (c) y b Let i = 7.11 + -7.31. Which is the nearest to 3/5? (a) -4 (b) i (c) 0 c Let a = 1740 - 1739. What is the closest to a in -0.7, -2.2, 4/7? 4/7 Let i = 2/23 - -15/92. Which is the nearest to -49? (a) -0.5 (b) i (c) 0.2 a Let w...
{ "pile_set_name": "DM Mathematics" }
)/((-72750)/(-3465) - 21). Is r >= 305? True Let m be 0/19 - (-2121)/7. Which is smaller: 302 or m? 302 Let q = 12 - -12. Suppose -3*f - q - 81 = 0. Suppose -5*a = -92 + 272. Is a smaller than f? True Let b = 110254 - 6284479/57. Suppose 0 = 3*x - 3. Suppose d = -3*y - x, -3*d = 2 + 10. Is y at most b? False Let g be (...
{ "pile_set_name": "DM Mathematics" }
-1127)*34/51. Which is smaller: a or 1? a Let g be -3 - ((-13396)/5712 + (-2)/24). Let d = -40.9 - -44. Let q = -3 + d. Are g and q unequal? True Let s(f) = f**3 - 6*f**2 + 8*f + 3. Let b be s(6). Suppose b = j + 49. Suppose 4*n + 5*v = -21, 30 = 4*n + n - 5*v. Is n at most j? True Let u = -92/21 + -1/3. Is -6 equal to...
{ "pile_set_name": "DM Mathematics" }
-5 (b) 0.059 (c) -3 b Which is the nearest to -1? (a) -4 (b) -1/4 (c) 11 b What is the closest to -1.6 in -10, 3, -3? -3 What is the nearest to 1 in 1, 2, -5, 0.2? 1 Which is the nearest to 0.9? (a) 5/3 (b) 75 (c) -4 a What is the nearest to -2/3 in 0.1, 3, -554? 0.1 Which is the nearest to -1/2? (a) -5 (b) ...
{ "pile_set_name": "DM Mathematics" }
= -w - 1. Let k be x(-6). Solve -26 = 2*i + k*o - 9, -9 = 3*o for i. -1 Let m be ((-3)/2)/((-30)/100). Solve -2*j = -j - 5, 4*j - 15 = -m*l for l. -1 Let l be 9/2 - (-3)/2. Suppose -o + l*o = 0. Suppose o = b + b. Solve -9 = 4*v - h - 1, b = -5*v + 5*h - 25 for v. -1 Let y be 304/10 + 12/(-5) + 2. Let g(w) = 2*w**2 - 3...
{ "pile_set_name": "DM Mathematics" }
19 + 5167*y. 25*y + 4 Collect the terms in 3863*v - 7721*v + 3866*v. 8*v Collect the terms in -220 - 838*w + 103 + 119. -838*w + 2 Collect the terms in 752*k**3 - 10 + 10 - 723*k**3. 29*k**3 Collect the terms in 23*y**3 - 31 + 5*y**3 - 12*y**3 + 30 + 24*y**3. 40*y**3 - 1 Collect the terms in -7*y**2 + 1215*y + 1222*y -...
{ "pile_set_name": "DM Mathematics" }
)/(-42))/(2/51000). What is p rounded to the nearest one million? 2000000 Suppose -2*x - 9 = -3*x. Let r = x + -6. Suppose -r*t + 4*s = -209992, -2 = -s - 0*s. Round t to the nearest one hundred thousand. 100000 Let a = -6 + 8. Suppose 2*x = 3*l + 3 - 11, 3*x - 1 = -a*l. Suppose l*p + 659980 = -v - 3*v, -989995 = 3*p +...
{ "pile_set_name": "DM Mathematics" }
uppose -10*f - 18 = -4*f. Let n be (-6)/15 + 14/10. Let k = 0 - n. Sort f, k, 0. f, k, 0 Let o be 2/8 - 39/12. Suppose 2*d - 43 = -3*v, 3*d - 2*d = -5*v + 74. Let i(a) = a - 17. Let w be i(v). Sort w, 1, o in increasing order. o, w, 1 Let r = 2 + -1.8. Let c = 1739.98 - 1740. Put r, c, -1 in decreasing order. r, c, -1 ...
{ "pile_set_name": "DM Mathematics" }
of sequence qjw when three letters picked without replacement from wqwjdwdwdjq. 8/495 Two letters picked without replacement from {h: 1, t: 1, f: 2, w: 1}. Give prob of sequence tf. 1/10 Calculate prob of sequence uu when two letters picked without replacement from {u: 2, w: 1, d: 2, m: 1, t: 1}. 1/21 Four letters pic...
{ "pile_set_name": "DM Mathematics" }