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of picking 1 u and 1 r. 10/21 Calculate prob of picking 2 j when two letters picked without replacement from ujjuuuuu. 1/28 Two letters picked without replacement from kllptkkpptlkktpl. What is prob of picking 1 t and 1 p? 1/10 Two letters picked without replacement from oooikokioggkkgkgigki. What is prob of picking 1...
{ "pile_set_name": "DM Mathematics" }
1/4, 88, 0.3? 0.3 What is the nearest to 11 in 0, 5, -1? 5 Which is the closest to -1? (a) -3 (b) 0.3 (c) 3 (d) -2 d What is the nearest to -29 in 3/2, 2/5, 19, -0.3? -0.3 Which is the nearest to -2/29? (a) 0.02 (b) -2/3 (c) -0.1 (d) -2 c What is the closest to 17/4 in 0.5, 1/147, -0.2? 0.5 Which is the closest...
{ "pile_set_name": "DM Mathematics" }
48/7*d + 3*d**2 - 3/7*d**3. -3*(d - 3)*(d - 2)**2/7 Let p(u) = -5*u**2 - 38*u - 2. Let l(k) = 16*k**2 + 115*k + 7. Let g(q) = -2*l(q) - 7*p(q). Find t, given that g(t) = 0. -12, 0 Let o = -861 + 865. Let j(a) be the first derivative of -10*a**2 - 8 + 23/3*a**3 + 4*a - 7/4*a**o. Factor j(v). -(v - 2)*(v - 1)*(7*v - 2) ...
{ "pile_set_name": "DM Mathematics" }
10, l*o + 4 = -4*n + 14. Let u(w) = w**3 + w + 32. Is 7 a factor of u(n)? False Let i be ((-3)/(-6))/((-2)/(-16)). Suppose i*p + p = -55. Let w(f) = -f**3 - 10*f**2 + 8*f + 14. Is w(p) a multiple of 14? False Suppose -w + 18 = 6*q - 3*q, -3*w = -5*q - 110. Is w a multiple of 2? True Let j be (44 - 0)*(-2)/(-4). Suppos...
{ "pile_set_name": "DM Mathematics" }
/80*z**5 + 0*z**3 + 0 + 0*z**2 + 4*z. Let h(b) = 0. What is b? -1, 0 Let h = -27/11 - -179/55. What is m in -4/5 - 1/5*m**2 - h*m = 0? -2 Let p be (-432)/(-180) + (-3 - -1). Factor 0 - p*u**4 + 0*u + 0*u**3 + 2/5*u**2. -2*u**2*(u - 1)*(u + 1)/5 Let k = 5 - -16. Suppose 6*q**3 + 12*q**5 + k*q**4 + 2*q**2 + 0*q**2 + q**2...
{ "pile_set_name": "DM Mathematics" }
ite? True Suppose 6 + 42 = 4*y. Suppose 160 = -3*g - g - t, 3*g - 4*t + 101 = 0. Is (g/y)/((-4)/48) a prime number? False Let x(p) = p**2 + 6*p + 1. Let m be x(-6). Let j = 3 - m. Is 2/(-4) + 39/j a prime number? True Let g = -11 + 9. Let h(v) = v + 4. Let j be h(g). Suppose j*l - q - 1394 = -5*q, 5*l - 3497 = -4*q. Is...
{ "pile_set_name": "DM Mathematics" }
) + 3*w(l). -7*l**2 - 2*l Let q(y) = -y**3 + y**2. Let z(k) = -2*k**2 - 4*k**2 + 2*k**2 + 5*k**2. Determine 3*q(t) - 3*z(t). -3*t**3 Suppose 0 = -4*q + 2*g + 3 + 3, -3*g + 3 = -3*q. Let n(l) = -2*l - 5. Let v(w) be the third derivative of w**4/8 + w**3 + 6*w**2. Calculate q*v(f) + 5*n(f). 2*f - 1 Let m(b) = -b - 3. Let...
{ "pile_set_name": "DM Mathematics" }
i = 48. Find the second derivative of -38*s + 78*s - 19*s**v - 56*s wrt s. -38 Let a(l) be the first derivative of -82 + 0*l**5 + 0*l**6 + 3/4*l**4 - 20/3*l**3 + 11/7*l**7 + 0*l**2 - 2*l. What is the third derivative of a(o) wrt o? 1320*o**3 + 18 Differentiate -736*u**2 + 2*u**3 + 875 - 7270*u + 7270*u with respect to ...
{ "pile_set_name": "DM Mathematics" }
Which is smaller: u or -2? -2 Let c = 2/67 - 481/402. Suppose 0 = 2*r - 6*r. Is r at most as big as c? False Let g = -0.4 - -1.4. Let z = -1 + g. Let o = z + -0.1. Which is smaller: -3 or o? -3 Let u(b) = b**2 + 5*b + 6. Let m(a) = -a + 8. Let n be m(5). Let i = n - 7. Let v be u(i). Is v at least 2? True Let l = 1.92 ...
{ "pile_set_name": "DM Mathematics" }
/5) assuming o is positive. o**(-1/3) Simplify ((q*q**(-6))/q**(2/13))/(q**(1/5)/((q**(-5)*q*q)/q*q)) assuming q is positive. q**(-543/65) Simplify (n*n/(n/n**11*n))/n**(-4/3)*n**(-2/21)/(n*(((n*n/n**(-6)*n)/n)/n)/n) assuming n is positive. n**(110/21) Simplify m/(m**(-5)/m)*(m*m/((m/(m/(m**(3/7)/m)))/m))/m assuming m ...
{ "pile_set_name": "DM Mathematics" }
n -0.3, 0.06, -1.6, 11, -0.06, 9? 0.06 Which is the nearest to 2? (a) 39 (b) 50 (c) -471 (d) 0.3 d Which is the closest to 5/7? (a) 814 (b) -0.7 (c) 0.9 (d) 1/4 c Which is the closest to 0? (a) -2/7 (b) -46676 (c) -6 (d) -0.6 (e) 2/5 a What is the closest to -0.0521 in 9, 655, -1? -1 What is the closest to...
{ "pile_set_name": "DM Mathematics" }
- 1680*b**3 + 1038 What is the second derivative of 2326*o**4 - 18*o - 5 wrt o? 27912*o**2 What is the third derivative of j**3*y**4 - 6*j**3*y**2 - 578*j**3 - 3698*j*y**4 wrt y? 24*j**3*y - 88752*j*y Find the third derivative of 1965*f**5 - 882*f**2 wrt f. 117900*f**2 What is the third derivative of -c*s**3*v - 22*c*s...
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 l and 1 n when two letters picked without replacement from {l: 3, a: 4, n: 3, s: 4, c: 1, x: 2}? 9/136 Two letters picked without replacement from {a: 2, s: 2, h: 1, e: 1, i: 1, j: 1}. What is prob of picking 1 s and 1 j? 1/14 What is prob of picking 2 w when two letters picked without replace...
{ "pile_set_name": "DM Mathematics" }
**2 + 29/24*f**4. What is o(m(z))? 1682*z**2 Let g(i) = 2*i - 59. Let q(b) = -2*b + 37. Let c(v) = 2*g(v) + 3*q(v). Let a(o) = 33*o**2. What is c(a(x))? -66*x**2 - 7 Let x(n) = 2421963*n**2 + n. Let c(i) = -5*i**2. What is x(c(m))? 60549075*m**4 - 5*m**2 Let v(j) = 3*j + j - 5*j. Suppose -400 + 1858 = 27*g. Let w(h) = ...
{ "pile_set_name": "DM Mathematics" }
3/2 - 85*u**2. Let z(m) = 2*m**2. Give z(b(g)). 8*g**2 - 72*g + 162 Let w(t) = 5*t**2. Let o(i) = -i + 5. Let n(s) = -4 - s + 3 - 5 + 10. Let g(x) = -4*n(x) + 3*o(x). Let a(u) = u + 1. Let k(b) = a(b) + g(b). Give k(w(m)). 10*m**2 Let l(t) = t. Let y(d) = 131*d**2 + 3*d + 47. Calculate y(l(r)). 131*r**2 + 3*r + 47 Let ...
{ "pile_set_name": "DM Mathematics" }
-238615? False Which is greater: 0 or 169/42604? 169/42604 Which is smaller: -314/5569 or 0? -314/5569 Which is greater: -1 or 2/2369137? 2/2369137 Which is smaller: 325 or -11450? -11450 Are -3/102703 and 1 non-equal? True Which is smaller: 16639 or 133113/8? 16639 Are 201962 and 1413726/7 equal? False Which is smalle...
{ "pile_set_name": "DM Mathematics" }
+ 36. Differentiate -n**u + 0*n**4 - 2*n**z + 5 - 2*n**4 with respect to n. -20*n**3 Find the second derivative of -1303*f**2 - 2*f - 56 - 68*f**5 + 1303*f**2 wrt f. -1360*f**3 Let g(j) be the first derivative of -j**4/2 + 97*j**3/3 - j**2 - 233*j + 68. What is the second derivative of g(i) wrt i? -12*i + 194 Differen...
{ "pile_set_name": "DM Mathematics" }
4. Which is smaller: l or -65/3? l Suppose -c + 3 = 4*r - 15, 2*r = -5*c. Let v = 6436 + -6443. Which is greater: c or v? c Suppose o + 3*z + 103 - 303 = 0, -4*z - 800 = -4*o. Which is smaller: 201 or o? o Let v = -408 + 452.6. Let h = -30.5 + v. Let d = h + -14. Which is smaller: 8 or d? d Suppose -8*p + 13*p - 50 = 0...
{ "pile_set_name": "DM Mathematics" }
7*q - 2*s - 16 = 0, -4*q + v*s + 17 = h for q. 2 Let x be (15/(-6)*14)/1*1. Let d be (15/x)/(4/(-28)). Suppose -d*b + 8 = -1. Solve 3*i - 12 = 3*u, -3*u - 6 = -0*i + b*i for u. -3 Let i = -830 - -1262. Let f = i - 430. Suppose 2*c + 12 = -c, 0 = b - 2*c - 12. Solve d = -5*r - b*d + 30, -f*r + 20 = 4*d for r. 2 Suppose ...
{ "pile_set_name": "DM Mathematics" }
Calculate prob of sequence xppe when four letters picked without replacement from zzpezeppxp. 1/210 Two letters picked without replacement from fffpffpfffp. What is prob of sequence fp? 12/55 Calculate prob of sequence fo when two letters picked without replacement from {o: 1, w: 3, f: 7, g: 1, z: 1}. 7/156 Three lett...
{ "pile_set_name": "DM Mathematics" }
35*c. 5*c*(c - 1)*(c + 1)**2*(c + 7) Factor u**4 + 473*u**3 + 943*u**2 + 471*u. u*(u + 1)**2*(u + 471) Let 4*p**4 - 4*p**3 - 20*p**2 - 12*p = 0. Calculate p. -1, 0, 3 Determine c so that -c**3 + 25*c**2 - 66*c = 0. 0, 3, 22 Let -c**2/2 - 229*c + 1383/2 = 0. What is c? -461, 3 Factor -t**2/3 - 4*t/3 + 32. -(t - 8)*(t + ...
{ "pile_set_name": "DM Mathematics" }
*4 + 3*n**3 + 2*n**2 - 3*n + 7. Let r(d) = d**3 + d**2 - d. Let a(y) = q(y) - 3*r(y). Find the third derivative of a(g) wrt g. -120*g**2 + 96*g What is the second derivative of -11*t + 1909*t**2 - 1909*t**2 - 193*t**3 + 7 + 49*t wrt t? -1158*t Let o(p) = 6*p**3 - 88*p**2 + 47. Let r(n) = -5*n**3 + 87*n**2 - 46. Let z(t...
{ "pile_set_name": "DM Mathematics" }
688081*n**3 - 22374*n**2 - 11187*n - 33561. Give -11187*i(m) - 2*x(m). -1017*m**3 Let r(z) = 131*z + 13138. Let a(q) = 52*q + 6569. Give 5*a(c) - 2*r(c). -2*c + 6569 Let x(q) = q + 19. Let b be x(-17). Suppose -n + 7 = b. Let u(p) = -p**3 + 5*p**2 - 5*p - 5. Let v(y) = -y**2 + y + 1. Give n*v(f) + u(f). -f**3 Let v(k) ...
{ "pile_set_name": "DM Mathematics" }
prime factors of 351420. 2, 3, 5, 5857 List the prime factors of 6015400. 2, 5, 19, 1583 List the prime factors of 2638018. 2, 109, 12101 List the prime factors of 179293. 41, 4373 What are the prime factors of 2549342? 2, 1274671 List the prime factors of 293907. 3, 313 List the prime factors of 980334. 2, 3, 107, 50...
{ "pile_set_name": "DM Mathematics" }
2, z: 6}. What is prob of picking 1 p and 2 d? 1/340 Three letters picked without replacement from {e: 1, h: 1, v: 1, g: 2}. What is prob of picking 1 e, 1 h, and 1 g? 1/5 Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {k: 2, r: 1, y: 3, f: 10}. 1/20 Two letters picked without r...
{ "pile_set_name": "DM Mathematics" }
60. 106260 What is the smallest common multiple of 2 and 121024? 121024 Calculate the lowest common multiple of 163008 and 12. 163008 What is the smallest common multiple of 10 and 3489? 34890 What is the smallest common multiple of 4 and 284930? 569860 Find the common denominator of -91/40104 and -103/540. 601560 Calc...
{ "pile_set_name": "DM Mathematics" }
sing order. -5, s, -1 Let o be (89/(-534))/((-5)/6). Let k = 0.02 - 2.02. Sort k, -9, o, 3/5 in decreasing order. 3/5, o, k, -9 Let x = -0.76 + 5.76. Put 13, x, 1/5 in increasing order. 1/5, x, 13 Let r = -5228 - -26137/5. Let k be 0 + 1 + (-22)/14. Sort r, -0.3, k in increasing order. r, k, -0.3 Let b be (8/6 - (-6)/(...
{ "pile_set_name": "DM Mathematics" }
64.548583385554 Sum 6009 and -0.01250878. 6008.98749122 Work out -6 - 9647.809676. -9653.809676 -23435457 - -152308 -23283149 What is -57644.700801 + -0.5? -57645.200801 What is the difference between -5438.427509 and 0.3? 5438.727509 Sum -58354662.3247 and 1. -58354661.3247 Work out 24 - 24420662129. -24420662105 Work...
{ "pile_set_name": "DM Mathematics" }
the power of 1/2, to the nearest integer? 2260 What is 2633493 to the power of 1/8, to the nearest integer? 6 What is the seventh root of 306015 to the nearest integer? 6 What is the third root of 1692009 to the nearest integer? 119 What is the eighth root of 456923 to the nearest integer? 5 What is 490462 to the powe...
{ "pile_set_name": "DM Mathematics" }
of 8901, 8902, 8905, 8910, 8917, 8926? n**2 - 2*n + 8902 What is the w'th term of 517, 2022, 4531, 8044, 12561? 502*w**2 - w + 16 What is the m'th term of 3501, 3503, 3505, 3507? 2*m + 3499 What is the s'th term of 137695, 137701, 137709, 137719? s**2 + 3*s + 137691 What is the q'th term of -297, -597, -913, -1257, -1...
{ "pile_set_name": "DM Mathematics" }
0)/19320 + (-290)/(-616)? 4/11 What is ((-37)/5 + 6 + (-6)/(-15))*(1055 + -994)? -61 What is (-16960)/25344*6 - 14/(-77)? -23/6 Calculate (-386 - -393) + (-38)/1. -31 Calculate (-2)/133 + -40 + 3313776/82460. 6/35 Evaluate (4/((-84)/(-39)) + -2)*6 - 22227/651. -35 What is the value of ((-1434)/19359)/((-16)/4122) + -19...
{ "pile_set_name": "DM Mathematics" }
-1675 What is next in -1320, -2805, -4280, -5739, -7176, -8585, -9960? -11295 What is next in 20824, 83277, 187364, 333085, 520440? 749429 What is next in -5665, -5619, -5541, -5431, -5289, -5115? -4909 What is the next term in -707, -1421, -2141, -2867? -3599 What is the next term in 2437, 4870, 7297, 9712, 12109, 144...
{ "pile_set_name": "DM Mathematics" }
710.431 What is 128783989 + 1087? 128785076 Work out -0.11 + -45729.774048799. -45729.884048799 What is -8642825 - -492563.4? -8150261.6 Add together -483374645037 and -233. -483374645270 Add 12.3363044880993 and 3. 15.3363044880993 45.1 - 0.082581179947 45.017418820053 Put together -515 and -573941382. -573941897 Sum ...
{ "pile_set_name": "DM Mathematics" }
2544 in 2/3, -0.5, 2, -3, -51? 2 What is the closest to -1/2 in 3, 0, -2765, 0.2? 0 What is the nearest to -2/11 in -4, 7/3, 2.179, -0.4? -0.4 What is the closest to 0.1 in 22/5, 0.29, -46/415? 0.29 Which is the nearest to -0.2? (a) 0.2 (b) 3 (c) 68101020 (d) 1 a Which is the closest to 0.1? (a) -4.9 (b) 0.8 (c)...
{ "pile_set_name": "DM Mathematics" }
r 0 + j*g**4 - 1/3*g**2 - 1/3*g**3 + 1/3*g. g*(g - 1)**2*(g + 1)/3 Let b(v) = -5*v**2 + 2*v + 7. Let k(x) = -1. Let f(g) = -3*b(g) - 12*k(g). Let j(a) = -7*a**2 + 3*a + 4. Let m(c) = 4*f(c) + 9*j(c). What is w in m(w) = 0? 0, 1 Factor -2/3*d**2 - 2/3*d + 2/3*d**3 + 2/3. 2*(d - 1)**2*(d + 1)/3 Let p(h) = -7*h**2 + 2*h -...
{ "pile_set_name": "DM Mathematics" }
earest to 1 in 1/4, -0.08, l, -5? 1/4 Let d = -1.872 - -1.672. Let o = 0 + 1. Which is the closest to o? (a) -0.6 (b) d (c) -0.5 b Let z = 15 + -17. Let q be (-19)/2*z - -3. Suppose h + 11 = 3*h + 5*d, -5*h + 4*d = q. What is the nearest to h in 2/21, 0.5, -0.3? -0.3 Let f = -73 + 72.9. Let l = -8 - -2. Let m = l - ...
{ "pile_set_name": "DM Mathematics" }
s the second smallest value in 0.022, 0, t? 0.022 Let t be (-962)/(-962)*((1/5 - 2) + 2). What is the second smallest value in t, -0.5, -1/6, -4708? -0.5 Let f = 20.5 + -20. Suppose 5*i + 0*i + 20 = 0. Let s be 3*(26/(-18) + 2). What is the fourth biggest value in -2/7, i, s, f? i Let m = -132/7 - -1466/77. Let h be (-...
{ "pile_set_name": "DM Mathematics" }
2 Let n(u) be the first derivative of -u**4/8 + 35*u**3/6 + 9*u**2 + 374. Suppose n(v) = 0. What is v? -1, 0, 36 Let n(o) be the third derivative of o**6/960 - 11*o**5/480 + o**4/24 + 5*o**3/12 + 620*o**2. Factor n(d). (d - 10)*(d - 2)*(d + 1)/8 Let u be (-21)/196*(-6)/18. Let c(d) be the second derivative of 7*d + 0 ...
{ "pile_set_name": "DM Mathematics" }
5 (c) 4 (d) -0.074 a Which is the second biggest value? (a) 1067 (b) -1/6 (c) 2/7 c Which is the third smallest value? (a) 1/130 (b) 2 (c) -1 b What is the third biggest value in 0, -2/41, -7, -0.1, -2? -0.1 What is the third smallest value in 89, 3/5, 3, -0.4? 3 Which is the smallest value? (a) -3 (b) -28/15...
{ "pile_set_name": "DM Mathematics" }
2 + 2524*w wrt w. -4*r**3 - 106122*r*w - 672*r What is the third derivative of 469582846*d**3*n + 620*d**2*n - 2*d*n - 5455*d - 2 wrt d? 2817497076*n What is the derivative of -14*i**2 + 159*i + 34738314 wrt i? -28*i + 159 What is the third derivative of 369*o**6 - 1306*o**3 - 2*o**2 - 11*o - 12383? 44280*o**3 - 7836 F...
{ "pile_set_name": "DM Mathematics" }
r for r. 19 Solve 231 + 67 = -38*c + 32 for c. -7 Solve 525*r = 25*r - 2000 for r. -4 Solve 132*b - 71 = -1387 - 928 for b. -17 Solve 47 - 165 = -32*n + 266 for n. 12 Solve 0 = 23*o + 21490 - 21076 for o. -18 Solve -9576 = 83*o - 11402 for o. 22 Solve 13*d - 485 - 483 = -994 for d. -2 Solve -10412 = -17*o - 509*o - 22*...
{ "pile_set_name": "DM Mathematics" }
- 7015 for d. 23 Solve 55*x + 0*x - 2034 = -58*x for x. 18 Solve 129*m = 200*m - 2201 for m. 31 Solve 1166 - 1066 = -10*u for u. -10 Solve 0 = -5873*h + 5875*h for h. 0 Solve -410 = -292*r - 35 + 793 for r. 4 Solve 258 - 13 = 55*t - 20*t for t. 7 Solve 118*w = 106*w + 168 for w. 14 Solve 4 = -149849*f + 149848*f for f...
{ "pile_set_name": "DM Mathematics" }
s the a'th term of -740, -729, -718, -707? 11*a - 751 What is the a'th term of -502, -1999, -4492, -7981, -12466, -17947? -498*a**2 - 3*a - 1 What is the u'th term of -64633, -258548, -581733, -1034182, -1615889, -2326848, -3167053? u**3 - 64641*u**2 + u + 6 What is the y'th term of 3605182, 3605185, 3605188? 3*y + 360...
{ "pile_set_name": "DM Mathematics" }
. Solve -n*f + 2*f = 0 for f. 0 Let i(g) = -204*g - 1136. Let v be i(-6). Solve 2*h + v = 76 for h. -6 Let a(g) = -2*g**2 + 8*g + 26. Let x be a(6). Let y be (-9 - -10)/(x/34) - 5. Solve -8*w = -y*w - 12 for w. -3 Let m(g) = -71*g + 923. Let w be m(13). Solve -398*k + 401*k - 9 = w for k. 3 Let t be (-19 + 16)*-19 - 8....
{ "pile_set_name": "DM Mathematics" }
1? 2*x**3 - x**2 - 482509*x + 15 What is the g'th term of -820369939, -820369937, -820369935, -820369933? 2*g - 820369941 What is the d'th term of -1449602, -1449354, -1449106? 248*d - 1449850 What is the c'th term of 62336, 59139, 55942? -3197*c + 65533 What is the d'th term of 624939, 624940, 624949, 624966, 624991? ...
{ "pile_set_name": "DM Mathematics" }
2*i**3 + 7*i Let h(n) = 84*n + 35. Let q be ((-6320)/(-36))/5 - (-7 - (-448)/63). Let w(o) = 14*o + 6. Calculate q*w(y) - 6*h(y). -14*y Let f(m) be the first derivative of -11*m**3/3 - 3*m**2 + 2*m - 859. Let h(x) = -x**2 + x. Give -f(k) - 6*h(k). 17*k**2 - 2 Let p(o) = -9756*o**2 - 120*o - 3. Let r(q) = 74048039*q**2 ...
{ "pile_set_name": "DM Mathematics" }
rest integer? 14 What is the third root of 118736 to the nearest integer? 49 What is 60931 to the power of 1/3, to the nearest integer? 39 What is the square root of 46839 to the nearest integer? 216 What is 807 to the power of 1/2, to the nearest integer? 28 What is 832 to the power of 1/3, to the nearest integer? 9 W...
{ "pile_set_name": "DM Mathematics" }
u + 1478. Suppose -3*d + k = -0*d. Is d a composite number? True Let x = 39 + -35. Suppose x*s - 2*s + 3*t - 766 = 0, 3*s - 2*t - 1123 = 0. Is s a composite number? True Let z = -7395 - -11038. Is z a prime number? True Let n(o) = 10*o - 3. Suppose 6 = -2*h - 4*i, -4*i - 32 = 3*h + h. Let d = h - -26. Is n(d) composit...
{ "pile_set_name": "DM Mathematics" }
for u. 4 Let m = 26 + -12. Solve 0 = 5*g - 3*p - m, 5*g - 2 + 9 = -4*p for g. 1 Let l(t) = 2*t + 4. Let i be l(-1). Solve 0 = -5*c + 3*p + 40, -2*p = i*p + 20 for c. 5 Let v(a) = a. Let z be v(5). Let s(n) = -n**3 + 3 + 3 - 4*n**2 + z*n - 1. Let q be s(-5). Solve q*y + 15 = 5*j, -4*y + 5*j = 5 + 6 for y. -4 Let i(c) = ...
{ "pile_set_name": "DM Mathematics" }
- 4*i. Let n be 6/h + (-2)/4. Let z = -3877.9 + 3878. What is the nearest to -2 in n, z, 0.4? n Let l = -776 - -820.7. Let r = 45 - l. Which is the nearest to -3? (a) -0.02 (b) r (c) -4 c Suppose 2*x = -6*x + 80. Suppose 18 = -4*z - x. What is the nearest to 0 in -3, -1/2, z? -1/2 Let l = 0.101 + -0.641. Let f = l +...
{ "pile_set_name": "DM Mathematics" }
29/336*y**8 + 0*y**6 - 1/8*y**4 + 0*y**7 + 0 + 0*y**5 + 0*y. Find the second derivative of t(n) wrt n. 580*n**3 What is the second derivative of -2*y - 15 + 2327*y**5 - 4588*y**5 + 2294*y**5 wrt y? 660*y**3 Let c be 206/6 + 1/(-3). What is the first derivative of 20 + 40*i - c*i - 6 + 14*i wrt i? 20 Suppose -10*f + 4*f...
{ "pile_set_name": "DM Mathematics" }
allest common multiple of n and 144. 144 Let r be ((-8)/12 + 0)*(-3 + 0). Suppose r*s = 2*p - 2, 2*p = 3*s - 0*s - 2. Calculate the lowest common multiple of 19 and s. 76 Let f = 9376 - 112391/12. Find the common denominator of -95/534 and f. 1068 Suppose -9*h + u - 2927 = -4*h, 2*h = 2*u - 1166. Let w = h + 1135/2. Fi...
{ "pile_set_name": "DM Mathematics" }
prime number? False Suppose -5*f = -2*h + 6*h - 717, 3*h - 284 = -2*f. Is f a composite number? True Let k(r) = 14*r - 3. Suppose o = 3*o. Let l(p) = p + 2. Let t be l(o). Is k(t) prime? False Suppose -i = -2*c + 8 - 0, -4*i = -3*c + 7. Is ((-2)/4)/(i/(-460)) a composite number? True Let f = -130 - -251. Is f prime? Fa...
{ "pile_set_name": "DM Mathematics" }
Differentiate p(f) wrt f. 8*f**3 Let g(h) be the second derivative of 21*h**5/20 - 19*h**3/6 + 10*h. Find the second derivative of g(j) wrt j. 126*j Suppose -2*j + 4*c + 6 = 0, -1 = c - 2*c. Find the second derivative of z**j - z**4 + 2*z + z**4 + z wrt z. 20*z**3 Let i(m) be the third derivative of -m**9/168 + 3*m**5...
{ "pile_set_name": "DM Mathematics" }
w. Let q be (-2)/w*(-10 + 4). Suppose q*x - 28 = -4*n, 3*n = -3*x + 2*x + 23. Calculate the greatest common divisor of 4 and n. 4 Let k(j) = j**2 + 168. Let l be k(0). Calculate the highest common factor of l and 21. 21 Let h = -27 + 34. What is the greatest common factor of 7 and h? 7 Let p(y) = -y**2 - 4*y - 6. Let m...
{ "pile_set_name": "DM Mathematics" }
Let s(k) be the second derivative of k**6/120 + k**5/24 - k**4/2 - 3*k. Let d(t) be the third derivative of s(t). What is the derivative of d(n) wrt n? 6 Let p(x) be the third derivative of x**7/10 + x**6/60 + 59*x**5/60 + 13*x**2 - x. Find the third derivative of p(h) wrt h. 504*h + 12 Let c(z) be the second derivativ...
{ "pile_set_name": "DM Mathematics" }
ultiple of 248661270 and 414435450? 1243306350 What is the lowest common multiple of 718874 and 1846? 51040054 Calculate the lowest common multiple of 1252611 and 3897012. 35073108 Calculate the common denominator of 3/774410 and 17/21240. 1644846840 What is the smallest common multiple of 17357517 and 237219399? 71165...
{ "pile_set_name": "DM Mathematics" }
there in 22.94808 months? 0.0191234 Convert 0.4721576km to meters. 472.1576 How many millimeters are there in one twentieth of a meter? 50 Convert 0.6032955 kilometers to micrometers. 603295500 What is 0.5999343ml in litres? 0.0005999343 How many millilitres are there in eleven eighths of a litre? 1375 What is 75/4 of ...
{ "pile_set_name": "DM Mathematics" }
rt(30)/(3*sqrt(300))). -2160*sqrt(19) Simplify 5 + sqrt(1900)*1*-2 + -5*(-1*sqrt(1900)*1)**2. -9495 - 20*sqrt(19) Simplify (-1 + sqrt(405))**2 + 3 - (-3 + 2*(sqrt(25)/sqrt(5))**2). -18*sqrt(5) + 402 Simplify (4 + 4 + (-2 + (sqrt(2057) + 2 - sqrt(2057)))*-4*-5)**2. 64 Simplify ((5 + sqrt(1088)*-1 - sqrt(1088) - (sqrt(10...
{ "pile_set_name": "DM Mathematics" }
24 divided by -29334? 186 Calculate -149172 divided by -33. 49724/11 Calculate -300347177 divided by -223639. 1343 Calculate -9188569 divided by 299. -30731 Divide 3 by 581141. 3/581141 Divide 89601 by -70. -89601/70 What is -6764085 divided by 5? -1352817 What is 32696262 divided by -97893? -334 1102514 divided by -12...
{ "pile_set_name": "DM Mathematics" }
-2)/8 - (564/(-16) + -5). Which is greater: 2 or x? x Let w be (1*0/4)/(-2). Let p be 3 + (w - -1 - 3). Which is smaller: -2/9 or p? -2/9 Let x = 83723/4 + -21060. Let c = x - -130. Is -2/7 <= c? True Let m be 7/(-7)*5*1. Let y(u) = u**3 + 6*u**2 + 4*u - 5. Let o be y(m). Are -2 and o equal? False Let j(a) = -a**3 - 6*...
{ "pile_set_name": "DM Mathematics" }
s + 2*s = 1000. What is the least common multiple of s and 12? 300 Suppose 4*m + m - 40 = 0. Let z(o) be the first derivative of o**2/2 + 6*o + 2. Calculate the smallest common multiple of m and z(-5). 8 Let m(l) = l**2 - 2*l - 32. Calculate the lowest common multiple of 4 and m(-5). 12 Suppose -2*m - 27 = -3*g + 3*m, ...
{ "pile_set_name": "DM Mathematics" }
q + 3*q - 4*q) + 4*q - 3*q + 0*q - q + 2 - 2 - 2*q + q + 3*q + q - 2*q + 0*q - q - 2*q + 2*q). 3*q Expand (-2 + f + 2)*(-1 - 4 + 2)*(-3 - 2*f + 3)*(0 - 3 + 4). 6*f**2 Expand (1 - 2 - 15)*(0*b**5 + 2*b**5 - b**5). -16*b**5 Expand (6*b**4 + 89*b**3 - 89*b**3)*(-4*b - 1 + 0 + 2*b). -12*b**5 - 6*b**4 Expand (-2*d + 2*d - 2...
{ "pile_set_name": "DM Mathematics" }
4*m - o*d, -4*m - 3*d - 31 = 0 for m. -4 Suppose -9*w + 175 + 113 = 0. Solve -o + 17 = -4*o - v, -3*o - w = 4*v for o. -4 Let b be (-10)/2*(0 + -1). Solve 4*p = -2*k - p - 1, -b*p + 2 = k for k. -3 Suppose 5*w + 5*p - 30 = 0, p - 2 = 2. Let u(s) = 2*s**2 + 2*s**w - s - 3*s**2 - 3. Let c be u(3). Solve -20 = c*y - 7*y, ...
{ "pile_set_name": "DM Mathematics" }
Calculate 3477 divided by -3. -1159 Divide -1261 by 4. -1261/4 250 divided by 3 250/3 Divide 8 by 1950. 4/975 Divide -7756 by 2. -3878 Divide 5000 by 500. 10 Calculate 23 divided by -28. -23/28 Divide 6292 by -1. -6292 Divide -79 by -4. 79/4 Calculate -2 divided by -987. 2/987 What is 407 divided by 8? 407/8 Divide -3 ...
{ "pile_set_name": "DM Mathematics" }
). -8*r**2 + 238 Let v(d) = d. Let m(u) be the third derivative of 1/30*u**5 + 2*u**2 + 0*u**3 + 0*u**4 + 0*u + 0. Calculate v(m(a)). 2*a**2 Let d(j) be the first derivative of 4*j**3/3 + 5. Let c(n) = 4*n. Determine c(d(u)). 16*u**2 Let d(k) = k**2 + 1746*k. Let f(w) = -2*w. Calculate f(d(g)). -2*g**2 - 3492*g Let h(q...
{ "pile_set_name": "DM Mathematics" }
/3262881 -2/47 What is (309/(-103))/((-22)/(-66))? -9 What is the value of (7/((-175)/30))/(3/((-31)/((-248)/540)))? -27 Evaluate 3*(-4)/(-20)*13135/213. 37 Calculate 2/(11/((-18447)/(-86))). 39 ((-684)/152)/(3/1*5) -3/10 What is the value of 40*(-42)/(-2170)*4/48? 2/31 What is ((-315)/1050*42)/(2/10)? -63 What is the ...
{ "pile_set_name": "DM Mathematics" }
2 Let i(p) be the first derivative of -7*p**4/2 + 6*p**3 - 23. Find the third derivative of i(m) wrt m. -84 Let k(i) = -5*i**2 + 9*i - 3. Let s(z) = 10*z**2 - 18*z + 5. Let q(r) = 5*k(r) + 3*s(r). What is the second derivative of q(y) wrt y? 10 Find the third derivative of -49*t**2 + t**6 + 44*t**2 - 3*t + 3*t wrt t. 1...
{ "pile_set_name": "DM Mathematics" }
.19? -2.19 What is the closest to 1/4 in -1/108, -3, -0.4, 2/97, 2/7? 2/7 Which is the nearest to 0.2? (a) -2 (b) 3 (c) -3/16 (d) 5 (e) -17/5 c What is the nearest to 0.1 in 1/2, 5, 3, 58/5? 1/2 Which is the closest to 2/11? (a) -2/197 (b) 0 (c) 19 b What is the nearest to 1 in -2, -6, 3/35, 5? 3/35 What is the...
{ "pile_set_name": "DM Mathematics" }
(a) y (b) 0 (c) -0.2 a Let l = -5/67 - 59/1005. What is the third smallest value in l, 27, 4? 27 Let a = -70.7 - -71. What is the second biggest value in a, 0.18, -5, -1/7? 0.18 Let p = 29 - 25. Let n = -0.03 + 0.05. Let i = 0.02 - n. Which is the smallest value? (a) p (b) 1 (c) i c Let j be 1*(-1 - 0) + -1. Let ...
{ "pile_set_name": "DM Mathematics" }
+ y - 24 = -d*g. Suppose 9 = 5*o - 4*x, 7*o - 2*o + 3*x = y. Are -0.1 and o non-equal? True Let v be (4 - (-5)/(-2))/(6/40). Suppose 46 = -7*d - v. Is -48/7 < d? False Let g = -30 - -30.3. Let n = 6.969 + 0.131. Let p = n - 7. Which is smaller: g or p? p Let u be 1 + 10/5 + 1252/(-6). Is u < -207? False Let b(y) = -y ...
{ "pile_set_name": "DM Mathematics" }
. Suppose z*r - 95 = -0*r. List the prime factors of r. 19 Suppose 2*j = 29 + 45. Suppose 0 = 4*p - j - 35. List the prime factors of p. 2, 3 What are the prime factors of (-10)/55 - 11008/(-44)? 2, 5 Suppose -2*i + 0*i + 2 = 2*c, 0 = -i - 4*c - 5. Suppose -3*r = i*l - 18, 2*l + 28 = -0*r + 3*r. What are the prime fact...
{ "pile_set_name": "DM Mathematics" }
7 - -2.147. Let q = h - 2. Which is the second smallest value? (a) 3/7 (b) q (c) f a Let y be 6/28*2/(-3). Which is the third biggest value? (a) 2/7 (b) 2 (c) y c Let w be 3/(-2)*(4 + -2). Let i = 0.1 + 0.4. Which is the second biggest value? (a) -0.3 (b) i (c) w a Let h = -26 + 28. Which is the smallest value...
{ "pile_set_name": "DM Mathematics" }
sqrt(432) - sqrt(432)) + 4 + (sqrt(242) + (sqrt(242) + -1)*5)**2. -1973*sqrt(2)/3 + 8741 Simplify (5*((sqrt(304) - (1 + sqrt(304))*6 - (-2 + 2*sqrt(304))) + (sqrt(304)*-1 + 1 - sqrt(304)*2*-2)))**2. 2400*sqrt(19) + 121825 Simplify (-2 + (sqrt(1000)*2)/(sqrt(16)/(sqrt(4)/sqrt(2))) + -3)**2. -100*sqrt(5) + 525 Simplify ...
{ "pile_set_name": "DM Mathematics" }
common divisor of 12 and g? 12 Suppose 0 = -4*c + 20, 5*r + 4*c - 700 = -65. Suppose -r = -5*n + 27. Calculate the highest common divisor of n and 75. 15 Suppose 5*j = 5*b - 45, 15 = 5*b + j + 4*j. Calculate the highest common factor of b and 6. 6 Let q = 22 - 10. Let p be 0 - (-2 - (2 + -2)). Suppose p*z = z + 3. Calc...
{ "pile_set_name": "DM Mathematics" }
of 1069736, 2139470, 3209204, 4278938, 5348672? 1069734*a + 2 What is the r'th term of 8435, 16855, 25259, 33641, 41995, 50315, 58595, 66829? -r**3 - 2*r**2 + 8433*r + 5 What is the h'th term of -22, -133, -354, -715, -1246, -1977? -5*h**3 - 25*h**2 - h + 9 What is the q'th term of 48132, 48149, 48166, 48183? 17*q + 4...
{ "pile_set_name": "DM Mathematics" }
**2 - 14877*p - 87 Let t(o) = 2*o**2. Let x(c) be the second derivative of 0*c**2 - 1/6*c**3 + 0 + 5/6*c**4 + c. What is x(t(q))? 40*q**4 - 2*q**2 Let p(x) = 2*x**2 - 3. Let c(g) = -5*g**2 + 7. Let k(z) = 6*c(z) + 14*p(z). Suppose 0 = 5*j + 2 - 12. Let w(i) = i**2 - 6*i**j - 2*i**2. Determine w(k(t)). -28*t**4 Let u(t)...
{ "pile_set_name": "DM Mathematics" }
Let v be 10/(-1)*y/4. Suppose -v*g + 112 = 42. Does 7 divide g? True Let n(p) = -p**2 + p + 10. Let h be n(0). Suppose 4*d + h = 5*i - 0*d, -d = 4*i - 8. Suppose 5*u - 36 = i*u. Is 6 a factor of u? True Let l(o) = 2*o - 1. Let g = -7 + 17. Suppose -4*b + g = -26. Is 10 a factor of l(b)? False Let x(g) = 21*g**3 + 1. L...
{ "pile_set_name": "DM Mathematics" }
= -60*u**2 + 12*u**2 + 14*u**2 + 19*u**2 + 12*u + 10 + 14*u**2. Give a(g). -3 Suppose y - 6 = -5*g - 18, -g - 3 = 0. Suppose -y*l = -4 + 1. Let v(r) = -7*r**3 + r**2 - r. Give v(l). -7 Suppose -3*l + 28 = 3*y - 83, -164 = -4*l + 4*y. Let v be 2*1 - (-1 + -1). Let k(b) = 9*b - 2*b + 0 + l*b**2 - 38*b**2 + v. Determine ...
{ "pile_set_name": "DM Mathematics" }
1, 2063, 897? -19*k**3 - k**2 + 2*k + 3287 What is the m'th term of -55558, -55560, -55548, -55516, -55458? m**3 + m**2 - 12*m - 55548 What is the z'th term of 2573, 5217, 7861, 10505? 2644*z - 71 What is the t'th term of 1893, 7565, 17019, 30255, 47273, 68073, 92655? 1891*t**2 - t + 3 What is the o'th term of 547, 351...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -i**3 - 825 + 825 + 2875*i - 2875*i. -i**3 Collect the terms in -6*s**2 + 20114*s - 20114*s. -6*s**2 Collect the terms in -20*p**3 - p - 19*p**3 + p. -39*p**3 Collect the terms in 38*q - 74*q + 43*q. 7*q Collect the terms in 12*a**3 - 18*a - 8*a**3 + 11*a**3. 15*a**3 - 18*a Collect the terms in 12...
{ "pile_set_name": "DM Mathematics" }
3*r**5 + 3*r**5 + 3*r**5 + (r - 5*r + 3*r)*(0*r**4 + r**4 + r**4). 5*r**5 Expand 3*j**5 - j**5 + 4*j**5 + 5*j**5 - j**5 - 2*j**5 + (-2*j**2 + 2*j - 2*j)*(-2*j**3 + 2*j**3 - j**3) - 6*j**5 + j**5 + 3*j**5 - j**5 - 2*j**5 + 2*j**5. 7*j**5 Expand -3*a + a**3 + 3*a + (0*a - 3*a + a)*(a**2 - 1 + 1) + 2*a - 2*a**3 - 2*a. -3...
{ "pile_set_name": "DM Mathematics" }
-3 + 9. Suppose x*j + 17 = 5. Let i = 1 + j. Determine m(i). -7 Let m be (-4 - (-2 - 0))/1. Let k(p) be the third derivative of 1/6*p**3 + 1/60*p**5 + 0 + 0*p + 5/24*p**4 - p**2. Determine k(m). -5 Suppose 0 = -n + 2*c, -5*c + 7 + 0 = n. Let u(k) = -k**2 + 2*k. Determine u(n). 0 Suppose -d - d + 1 = x, 0 = -4*d - 4. S...
{ "pile_set_name": "DM Mathematics" }
1a? -67 In base 8, what is 41 + 1? 42 In base 14, what is 9 + 606? 611 In base 16, what is 0 - -8e? 8e In base 16, what is 63 - a? 59 In base 16, what is c56 + -4? c52 In base 4, what is -21 - 11201? -11222 In base 14, what is 375 + 0? 375 In base 15, what is -180 - -2? -17d In base 15, what is -17 - -191? 179 In base ...
{ "pile_set_name": "DM Mathematics" }
t + 5*b - 4 for t. 4 Solve 4*i = 10*h - 11*h + 15, -2*i = -h - 3 for h. 3 Solve 4 = 5*g - 2*j, -17*g + 14*g = -2*j for g. 2 Solve 3*a = 2*v - 7, -v - 2*a + 4 = -3*a for v. 5 Solve -g = -2*r - 9, r = -2*r + g - 13 for r. -4 Solve 6*w - 2*w + 15 = 5*f, -w = 5 for f. -1 Solve 3*m + 2*o + 3 = 0, 4*o + 4 = -4*m - 0*o for m....
{ "pile_set_name": "DM Mathematics" }
**3 - 10*h**2 + 4. Let l(i) = i**2 - 30*i - 74. Let f be l(32). Let g be j(f). Solve 0*s = s - g for s. 4 Suppose -4*o + 14 = 5*k - 37, -6 = -2*o + 4*k. Solve -3*q = -o + 24 for q. -5 Suppose -7*b = -12*b - 110. Let k = b + 22. Suppose 3*j = -k*j + 3*m + 21, 0 = -j + 5*m + 15. Solve 4*z + j - 25 = 0 for z. 5 Let a be (...
{ "pile_set_name": "DM Mathematics" }
arest ten thousand? -500000 Let x = 18183.0489808 - 18183. Let r = -23.049 - -23. Let q = x + r. What is q rounded to 6 decimal places? -0.000019 Let i(u) = 6668*u**2 + 18*u - 80. Let j be i(9). Round j to the nearest one hundred thousand. 500000 Let g(k) = 10*k**2 - 11*k - 18*k - 2 - 1 - k**3 - 2 + 62*k. Let z be g(-7...
{ "pile_set_name": "DM Mathematics" }
3*u*z**4 + u*z**3 + 1356*u*z**2 + 5*u - 181*z**4 - 19*z**3 wrt z. -72*u*z + 6*u - 4344*z - 114 Find the second derivative of -2551072*g**2*j + 5*g*j + 603*g - 6*j wrt g. -5102144*j What is the derivative of 2149*n**3 - 111182 wrt n? 6447*n**2 Differentiate 2*a**2*s**2 + 2*a**2*s - 5*a*s + 16638*a - 945*s**2 - 46 wrt a....
{ "pile_set_name": "DM Mathematics" }
ween 5:55 PM and 11:00 PM? 305 What is 485 minutes after 12:52 AM? 8:57 AM What is 186 minutes after 1:20 AM? 4:26 AM How many minutes are there between 1:55 PM and 1:02 AM? 667 How many minutes are there between 9:31 PM and 12:45 AM? 194 What is 244 minutes before 5:56 PM? 1:52 PM What is 141 minutes before 8:56 PM? 6...
{ "pile_set_name": "DM Mathematics" }
uppose s*m - 30 - 10 = 0. List the prime factors of m. 2 Let m be (-11)/(-2) - (-3)/(-6). Suppose -2*d + 12 = 2*d. Suppose -a = -m - d. What are the prime factors of a? 2 Let x(z) = z**2 + 4*z - 12. What are the prime factors of x(-9)? 3, 11 Let v(f) = 80*f + 2. List the prime factors of v(1). 2, 41 Let n = -27 - -19. ...
{ "pile_set_name": "DM Mathematics" }
423 List the prime factors of 62775. 3, 5, 31 List the prime factors of 7584. 2, 3, 79 What are the prime factors of 15732? 2, 3, 19, 23 List the prime factors of 75612. 2, 3, 6301 List the prime factors of 259. 7, 37 List the prime factors of 194. 2, 97 What are the prime factors of 38376? 2, 3, 13, 41 List the prime ...
{ "pile_set_name": "DM Mathematics" }
w**3*x - 64*w**2*x - w*x**2 - 2*x**3 - 37*x**2 + 3*x wrt w. 24*w*x**3 + 336*w + 53942166*x What is the third derivative of -3*p**5 - 7741*p**4 - 553*p**3 - 12058205*p**2 wrt p? -180*p**2 - 185784*p - 3318 What is the first derivative of -b*c*r + 6*b*m*r**2 - 780*b*m*r - 12*b - 5*c*m*r**2 + 24929*c*m*r - 4*r**2 wrt c? -...
{ "pile_set_name": "DM Mathematics" }
- 1/12*t**4 + 0*t**2 + 0*t. Factor g(r). r**2*(r - 2)*(r + 1)/3 Let x be 1 + 36/120*-2. Factor x*g + 4/5 - 2/5*g**3 - 4/5*g**2. -2*(g - 1)*(g + 1)*(g + 2)/5 Suppose -688*f = -692*f + 8. Factor 0 - 1/5*n**3 + 1/5*n + 0*n**f. -n*(n - 1)*(n + 1)/5 Suppose -4*l = 4*f - 8*l - 24, 2*l - 12 = -2*f. Suppose -f*q**3 + 14/3*q**...
{ "pile_set_name": "DM Mathematics" }
009, 555, -207, -1283, -2679, -4401, -6455? -8847 What comes next: -43, -376, -1271, -3004, -5851, -10088, -15991, -23836? -33899 What is the next term in -2171, -4323, -6461, -8579, -10671, -12731, -14753, -16731? -18659 What is next in 260, 92, -74, -238? -400 What comes next: -422939, -422951, -422951, -422933, -422...
{ "pile_set_name": "DM Mathematics" }
5, -0.4, 0.07 in descending order. 445, 0.07, -0.4 Put -1/2, -5, 0.1, -4/9 in increasing order. -5, -1/2, -4/9, 0.1 Sort -1, -363, -3. -363, -3, -1 Sort 1, -2, 0, 953, -4. -4, -2, 0, 1, 953 Sort -1/2, -15, -1/6, 2, -5/6. -15, -5/6, -1/2, -1/6, 2 Sort -3/5, -0.641, 2/11 in decreasing order. 2/11, -3/5, -0.641 Sort 3/5, ...
{ "pile_set_name": "DM Mathematics" }
Calculate ((-6)/(-30)*-7)/(1676/2095). -7/4 What is the value of -18 - -89 - (-2577673)/(-36309)? 2/273 (244/44 - 2) + 3*((-69)/9 + 6) -16/11 Evaluate (-8 - -3 - 990/315) + (-4 - -13). 6/7 What is the value of (1/7 + (-872)/763)/(4 + -5)*117? 117 What is (-36)/(-6 - -10) - 666/(-1620)*22? 2/45 What is the value of (-1...
{ "pile_set_name": "DM Mathematics" }
s the greatest common factor of 147 and k? 49 Suppose -22*b + 5*b + 646 = 0. Suppose -b*j - 228 = -41*j. What is the highest common factor of j and 494? 38 Let j(x) = -x**3 + 8*x**2 - 84*x + 459. Let p be j(5). What is the greatest common divisor of 6327 and p? 57 Let g(i) = 3234*i - 180. Let q be g(2). Calculate the g...
{ "pile_set_name": "DM Mathematics" }
et b be (-2395002)/80 + (-35)/(-28) + -1. Let p = b + 29935. What is the common denominator of p and -37/8? 40 Let s = 50434 - 27688286/549. Calculate the common denominator of 95/244 and s. 2196 Let g be (7/(140/24))/(4/10). Suppose 3*n = 5*r + 38, g*n - 4*r = 4*n - 41. Let y(f) = -f + 8. Calculate the least common mu...
{ "pile_set_name": "DM Mathematics" }
60 a factor of r(15)? True Suppose -60*x + 109952 = -600748. Does 39 divide x? False Suppose -650450 + 2023122 = 158*y - 46*y. Is 30 a factor of y? False Suppose 1249*k + 4620 = 1255*k. Does 37 divide k? False Let m = 11772 + -5658. Is m a multiple of 9? False Suppose 3*h + 15688 = 11*h. Does 6 divide h? False Suppose ...
{ "pile_set_name": "DM Mathematics" }
b. 19 Let m(f) = -10*f + 13. Let y be m(3). Let t = y + 35. What is the remainder when 66 is divided by t? 12 Suppose 2*g - 176 = -5*t + 4, -4*t - 3*g = -137. Calculate the remainder when t is divided by 12. 2 Let h(u) = -u**2 - 29*u + 462. Calculate the remainder when h(-40) is divided by (-1)/3 + (-25)/(-3). 6 Let k ...
{ "pile_set_name": "DM Mathematics" }