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lculate (-4 - (-4 - 6)) + 4 + 4. 14 Evaluate -13 + (4 - 21) - -36. 6 What is the value of 4 + -3 - (-6 - -1) - (48 - 45)? 3 What is -23 + (0 - -45) + 15? 37 Calculate (14 - 7) + (6 - -1 - 3). 11 Calculate (-19 - (6 + 12 - 25)) + (2 - 1). -11 Evaluate 6 + (4 - 23) - (-2 - -5). -16 What is the value of (-44 - -53) + (1 -...
{ "pile_set_name": "DM Mathematics" }
- 9. Calculate the least common multiple of ((-5)/(-4))/((-9)/(-36)) and t. 10 Suppose 2 = -3*a - 7. Let p be 2*-1*(4 - a). Calculate the common denominator of 2/(-4) - 72/p and -73/2. 14 Let d = -34 + 36. What is the least common multiple of d and 22? 22 Suppose 7*b = 4*b + r - 13, 2*b = 4*r - 22. Let l = b - -15. Wh...
{ "pile_set_name": "DM Mathematics" }
6. Let p(n) = -7*n - 5. Let y(x) = 163*x**2 + 2283*x + 8. Let a be y(-14). Give a*l(c) - 7*p(c). 13*c - 1 Let p(o) = 19*o - 72. Let s(m) = 2*m. Give 2*p(h) - 18*s(h). 2*h - 144 Let g(n) be the third derivative of n**4/24 - 4*n**2. Let c be (0 + 9)/(-113 + 110). Let h(d) = -2*d**3 - d**2 + 5*d. Calculate c*g(y) + h(y)....
{ "pile_set_name": "DM Mathematics" }
c. Let r be z(c). Calculate the highest common divisor of r and 9. 9 Let b = 20 - 11. Let a(w) = -13*w + 7. Let f = 10 + -15. Let r be a(f). What is the highest common divisor of r and b? 9 Let x be 5*(-1 - (-141)/15). Let c be (1 - 1) + 48/8. Calculate the greatest common factor of c and x. 6 Let g = 47 - 29. Let h be...
{ "pile_set_name": "DM Mathematics" }
e hundred thousand? -2300000 Let l = 0.03676 + 45.03324. Let g = l + -0.07. Let k = -45.0019 + g. What is k rounded to three decimal places? -0.002 Let p = -0.011 - -0.01099804. What is p rounded to seven dps? -0.000002 Let h = 69 + -69.00594. Round h to 3 dps. -0.006 Let y(q) = -148366*q**2 - 10*q + 4. Let v be y(7). ...
{ "pile_set_name": "DM Mathematics" }
+ 232*w**3/15 + 8*w**2/5 - 2752*w/15 - 3712/15 = 0? -2, 4, 116 Let 5*z**4 - 205*z**3 - 1290*z**2 + 6280*z + 7360 = 0. What is z? -8, -1, 4, 46 Factor -3*i**2/4 + 2067*i/2 + 54249/4. -3*(i - 1391)*(i + 13)/4 Factor -4*q**2 + 308224*q - 5937627136. -4*(q - 38528)**2 Suppose 4*y**4 - 6292*y**3 + 130944*y**2 - 895232*y + 1...
{ "pile_set_name": "DM Mathematics" }
7 + -107. Suppose -4*y - 17 + 113 = w. Factor y*t + 20*t**2 + 53*t**3 - 58*t**3 + t. -5*t*(t - 5)*(t + 1) Let w(c) = c + 3. Let o be w(-3). Suppose o = 3*j - 10*j + 112. Find z such that z**2 - 4*z**2 + 16 + 4*z**4 - 2*z**2 + j*z - 8*z**3 - 7*z**2 = 0. -1, 2 Let u(h) be the second derivative of 0 + 1/4*h**5 + 1/24*h**6...
{ "pile_set_name": "DM Mathematics" }
p**2 - 2*p + p - 4 + 2 - p**3. Let x be t(-2). Suppose 0*n = n - x. What is the greatest common factor of 36 and n? 4 Suppose 5*s - 12 = -2*i, -4*s + i + 32 = -3*i. Let u(k) = 3*k. Let a be u(9). Let w be (12/(-10))/(a/(-360)). Calculate the highest common divisor of s and w. 4 Let q be -1*2*2/(-1). Suppose 2*n - 2*a ...
{ "pile_set_name": "DM Mathematics" }
*3 + 3*r + 6. What is the remainder when u(-3) is divided by 41? 35 Suppose -163 = -4*v - 135. Calculate the remainder when 382 is divided by v. 4 Let d(n) be the first derivative of -n**4/4 - 8*n**3/3 - 3*n**2/2 + 14*n + 77. What is the remainder when d(-9) is divided by 21? 17 Let z = 27057 - 26850. What is the remai...
{ "pile_set_name": "DM Mathematics" }
c**3 + 3*c**3 - 2*c**3) + (0*c**3 - 2*c**3 + 4*c**3)*(64*c + 49*c - 89*c) - c**4 - 8*c**2 + 8*c**2. 46*c**4 Expand (r - 3*r + 0*r)*(3 - 6 + 1) + (-140*r - 193*r + 64*r)*(0 + 4 - 3) + (-1 + r + 1)*(1 - 4 - 1). -269*r Expand -3*o + 2*o - 3*o**2 + o**2 + 2*o**2 + 3*o**2 + 0*o**2 + (o - o + o**2)*(-1 - 3 + 0) + (-4 + 1 + 4...
{ "pile_set_name": "DM Mathematics" }
n. List the prime factors of 154/k + 3/9. 2, 13 Let m(b) = -3*b - 7. Let h be m(-4). Suppose -5*q + 4*q = -h*s + 20, -s = -5*q - 4. Suppose q = -3*k + 74 + 142. What are the prime factors of k? 2, 3 Let p(r) = 6*r**3 - 2*r**2 + 2*r - 1. Let x be p(1). Suppose -15 = x*i, 5*m - 2*i = -i + 183. List the prime factors of ...
{ "pile_set_name": "DM Mathematics" }
2 = -2*x + 59 for c. -5 Solve 2*s - 3*b + 3 = 0, 1467 = -5*b + 1462 for s. -3 Solve 0*q - 10*q - u = 36, 2*u - 8 = 0 for q. -4 Solve 5*u + 50 = 2*h + 31, 0 = u + 5 for h. -3 Solve 0 = -12*p - 4*r - 19 - 1, p - r + 3 = 0 for p. -2 Solve 0 = -22*x + 17*x - 3*y + 32, 0 = 4*x + 2*y - 22 for x. 1 Solve 9 = 2*x - p, -100*x =...
{ "pile_set_name": "DM Mathematics" }
lest value in 3, 2/13, -22, -3? -22 Which is the third biggest value? (a) 1/61 (b) 0.1 (c) 4/5 (d) 1 (e) -5 b Which is the smallest value? (a) -47/5 (b) 2/7 (c) -3 (d) -4 (e) -90 e What is the biggest value in -2, 1/3, 1768, -2/21? 1768 Which is the third smallest value? (a) 26/217 (b) 27/16 (c) -0.1 b Wha...
{ "pile_set_name": "DM Mathematics" }
-t*j + 36. Find the second derivative of -15*g**j - 113 + 113 - 5*g wrt g. -90*g Let j(p) be the first derivative of 33*p**5/5 + 9*p**4/4 - 329*p**2 + 4*p + 2921. Find the second derivative of j(y) wrt y. 396*y**2 + 54*y Let s = 275 + -272. Differentiate 6*v**s - 1871*v**2 + 87 + 1876*v**2 + 15 with respect to v. 18*v...
{ "pile_set_name": "DM Mathematics" }
+ 0.07144. Which is the closest to z? (a) 0 (b) y (c) 0.7 b Let g be (12/30)/(6/(-10)). What is the closest to 0.1 in 1/4, -4/21, g? 1/4 Let x = -0.2 + 0.7. Let m = x - -4.5. Suppose -7*f - 569 = -548. Which is the closest to 0.1? (a) m (b) f (c) -0.5 c Let n(f) = 7*f + f**3 - 3*f**2 - 3*f**2 - 2*f**2. Let d be ...
{ "pile_set_name": "DM Mathematics" }
p. Solve 0 = c*l - 10*l + 12 for l. 2 Let h be (5/(-5))/(1/(-14)*2). Solve -h*j + 2*j + 5 = 0 for j. 1 Suppose -3*v + 0*n - 2*n = -252, -4*n = 2*v - 176. Solve 74 = 2*b + v for b. -4 Let x be 48/(-6) - 396/(-9). Solve 9*c + 0*c + x = 0 for c. -4 Suppose 3 = -4*l + 11. Suppose 1 = -2*v - 3*q + 15, 4*q = 4*v + 12. Solve...
{ "pile_set_name": "DM Mathematics" }
-k + 0*k + 3 = 0. Let j(b) = -2 + 6*b + 2 - k - b**2. Give j(o). 2 Suppose -f = -x - 16, 5*f - 4*x = 12 + 65. Let z(v) = -v + 2. Give z(f). -11 Let k(y) = 10 + 11 + 6*y - 24 - 4*y. Calculate k(7). 11 Let d = 7 + -2. Suppose -d*g - 8 = -3. Let o(h) = -9*h**2 - 7*h - 1. Let a(n) = -10*n**2 - 8*n - 1. Let y(f) = 6*a(f) -...
{ "pile_set_name": "DM Mathematics" }
t h(x) = -2*x**2 - 2*x + 1. Let r(f) = -d(f) - 3*h(f). Solve r(t) = 0 for t. -878 Let t be (191*2/24)/(95/950). Let o = t - 317/2. Factor -8/3*c - o*c**2 + 10/3. -2*(c - 1)*(c + 5)/3 What is b in -42*b**2 + 8 + b**4 + 11*b - 11*b + 11*b**3 + 4*b + 48 = 0? -14, -1, 2 Let j(q) be the first derivative of 4*q**3/9 + 152*q*...
{ "pile_set_name": "DM Mathematics" }
prime number? False Let k(j) = 3*j + 6. Let n be k(8). Suppose 0 = 3*u - u - 10, i + 5*u - n = 0. Suppose q + 196 = 5*q - i*c, -3*q = -5*c - 147. Is q a prime number? False Let t be -1*(-2 + (-2 - -2)). Let k be -25*(t - (-2 + 5)). Let r = k - 15. Is r prime? False Let n be 5*-58 + 0 + -2. Is n/(-20) - (-4)/10 a compo...
{ "pile_set_name": "DM Mathematics" }
143*m**2 - 278028458 with respect to m. 552576286*m Find the second derivative of 5232*u**4 + 8*u**3 + 23*u**2 - 5*u - 204814 wrt u. 62784*u**2 + 48*u + 46 Find the third derivative of -204383841*c**5 - 559241629*c**2. -12263030460*c**2 Differentiate 99862*a*o**2 - 1452840*a + 9*o**2 with respect to o. 199724*a*o + 18*...
{ "pile_set_name": "DM Mathematics" }
in the form g*s**4 + w + c*s**3 + a*s**2 + y*s and give g. -17 Express -54*d**2 + 24*d**2 - 9*d**3 + 28*d**2 in the form c*d + a*d**3 + l*d**2 + v and give l. -2 Express -d + 2*d - 7*d + (6 + 0 - 5)*(3*d - 4*d - 3*d) in the form j*d + b and give j. -10 Express m**3 - m + 3*m**3 + 2*m**4 + 0*m + 3*m**2 - 2*m**3 in the ...
{ "pile_set_name": "DM Mathematics" }
nd -1? 1748 3*-5.49 -16.47 Product of 1 and -0.029. -0.029 What is the product of -248.7 and 0.2? -49.74 Product of -4 and 19. -76 0.4 * -514 -205.6 What is -2 times -672? 1344 What is 2 times 1267? 2534 Product of -2 and 118. -236 Work out 0.4 * 213. 85.2 What is the product of 5 and 2? 10 Product of 0 and -274. 0 Mul...
{ "pile_set_name": "DM Mathematics" }
418 What is 583 minutes before 1:20 PM? 3:37 AM How many minutes are there between 5:08 PM and 9:45 PM? 277 What is 132 minutes before 10:23 PM? 8:11 PM How many minutes are there between 11:14 PM and 5:09 AM? 355 What is 687 minutes before 1:38 PM? 2:11 AM How many minutes are there between 6:15 PM and 9:02 PM? 167 Wh...
{ "pile_set_name": "DM Mathematics" }
factors of v. 2, 53 Suppose -31*l = -28*l - 111. Let k(n) = -l*n - n**3 + 9 + 76*n - 36*n + 11*n**2. What are the prime factors of k(6)? 3, 23 Suppose 0 = -3*q - 4*f + 88, 3*q + 4*f - 68 = 5*f. Let u(d) = d**2 - 25*d + 40. What are the prime factors of u(q)? 2 Let h(r) = 855*r**3 + 2*r**2 + 3*r - 3. Let g be h(1). Let...
{ "pile_set_name": "DM Mathematics" }
lve 10 = -m*i - f for i. -4 Suppose -9 = -s - 4*f + 7, 2*s - f = 14. Suppose s*t = 6*t + 12. Solve 2*v = -0*v + t for v. 3 Let d be 23 + (0 - 0 - -2). Suppose -4*p = v - 11, 3*p + 3*v = 8 - 2. Solve 2*y + d = -p*y for y. -5 Let z be 2/(-1) - (3 + -5). Suppose l + 10 = -z*l. Let f be (-25)/l + (-1)/2. Solve -f*x + 3 = 5...
{ "pile_set_name": "DM Mathematics" }
*(-6)/(-18))*3 3/11 ((-10)/(480/66))/((-5)/40) 11 Evaluate (3/((-3)/2*1))/(239/2390). -20 Evaluate -4*((-2035)/(-88))/37. -5/2 (682/44)/(-31)*55/5 -11/2 Calculate ((-15)/(-160)*-8)/(135/252). -7/5 2*(-4)/(-14)*(-945)/(-2970) 2/11 Evaluate 3/15*-6*2995/(-7188). 1/2 What is the value of -1*9/(-63)*6/(-18)? -1/21 Evaluate...
{ "pile_set_name": "DM Mathematics" }
iggest value in 3, -2.6, -6, 1.5? 1.5 Which is the biggest value? (a) -1/4 (b) -1/3 (c) -1.2 (d) -12 a What is the second smallest value in 5, -0.5, -17, -0.4? -0.5 Which is the smallest value? (a) 2/5 (b) -3/5 (c) 129 b What is the second smallest value in -0.2, 5, -1, -6, -11? -6 Which is the fourth biggest va...
{ "pile_set_name": "DM Mathematics" }
= u - 11. Let b be 8/(-6)*(-216)/16. What is the remainder when w is divided by l(b)? 5 Let s(q) = -7 + 14*q - 8 + 5*q - 3. Calculate the remainder when 56 is divided by s(2). 16 Let d = 9 + -4. Suppose 171 = -d*z + 586. Let c = 0 + z. Calculate the remainder when c is divided by 21. 20 Let c be ((-82)/4)/((-5)/20). S...
{ "pile_set_name": "DM Mathematics" }
= -3*p - 8, p - 3*f = -12. Let j = p + 3. Let a(y) = -y + 1. Let d be a(j). Which is smaller: d or 0? 0 Let j be 2/(-5) + 0/1. Let c = -5 - -3. Which is smaller: c or j? c Let d be 291/9 + 8/12. Suppose 0 = -p - 2*p - d. Which is bigger: p or 0.1? 0.1 Let b be 1*(-1 - (-32)/30). Suppose 0 = 4*v + 2*o - 4, -20 = -o - 4...
{ "pile_set_name": "DM Mathematics" }
e (4 - 22/5)*(-15)/2. Let c(t) = -2*t**3 - 4*t**2 - 3*t - 2. Let k be c(-2). Suppose -k*d = -g*d - 211. Is d composite? False Let g = 17 - 13. Suppose 6*h = g*h + 474. Is h a composite number? True Suppose 5*n - 15 = -2*i, -5*i - 6*n = -3*n - 9. Let k be i + (-4 - -3) - -7. Suppose 0 = 8*l - k*l - 212. Is l composite? ...
{ "pile_set_name": "DM Mathematics" }
2)/(sqrt(18)/sqrt(3)*-3))*-6. -72 + 38*sqrt(2) Simplify 2 + (sqrt(288) - (1 + sqrt(288))) + -2 - -2*(sqrt(288) + 1 + 5 + sqrt(288)). 11 + 48*sqrt(2) Simplify (sqrt(980)/sqrt(2))/(2*sqrt(245) + sqrt(5)) + 1. 7*sqrt(2)/15 + 1 Simplify (3 + sqrt(432) + 1)**2 + 0 - ((sqrt(432) - (1 + 1 + sqrt(432)) - sqrt(432)) + -3)**2. -...
{ "pile_set_name": "DM Mathematics" }
e Does 1930 divide 128454341? False Does 34 divide 350126047? False Is 1556 a factor of 19460892? True Is 719088677 a multiple of 109? False Does 20 divide 906264753? False Does 205 divide 110102220? True Does 91 divide 19040294? True Does 1318 divide 455155484? True Is 599 a factor of 2606848? True Is 3068406 a multip...
{ "pile_set_name": "DM Mathematics" }
62890, 2, 1, -3 Put -2, -1280, 3, 1, -29, -5 in ascending order. -1280, -29, -5, -2, 1, 3 Put 40, -1, 4, -7, 5 in decreasing order. 40, 5, 4, -1, -7 Put 954, 3, -2 in increasing order. -2, 3, 954 Put -1081, 2, -28 in decreasing order. 2, -28, -1081 Sort 4, 20, 0, -1, 163 in increasing order. -1, 0, 4, 20, 163 Sort -2,...
{ "pile_set_name": "DM Mathematics" }
ative of -j**4/6 - 29*j**3/6 - 6*j**2 - 6. Let x(t) = 3*t + 20. Let n(v) = -5*d(v) - 7*x(v). What is n(0)? 5 Suppose -2*h + 6 = 0, -676 = -16*v + 12*v + 4*h. Let r = -165 + v. Let t(j) = -j**2 + 8*j + 2. Determine t(r). 9 Suppose -2*w - 4*z - 8 = 2*w, 35 = 5*w - 4*z. Let y(t) = -4*t - 40 + 41 + w*t. What is y(-3)? 4 Le...
{ "pile_set_name": "DM Mathematics" }
hat is the highest common divisor of g and w? 9 Let t(k) = 2*k**2 - 29*k - 90. Let y be t(18). Calculate the highest common divisor of 44 and y. 4 Suppose 4*s + 236 = 5*i - 189, i + 4*s - 85 = 0. Calculate the highest common factor of 119 and i. 17 Let s(l) = -3*l**3 - 2*l**2 - l. Suppose -14 = 6*z - 2. Let v be s(z). ...
{ "pile_set_name": "DM Mathematics" }
is the second derivative of -2697436*z**2 - 3922876*z? -5394872 Differentiate 1739*g**2*w + 5*g**2 - 6058*g + 9*w - 1 with respect to w. 1739*g**2 + 9 What is the third derivative of -259526*n**5 + 82*n**2 + 671? -15571560*n**2 What is the third derivative of -181*x**5 + 100*x**4 + 665006*x**2? -10860*x**2 + 2400*x Wh...
{ "pile_set_name": "DM Mathematics" }
e g - 5*g + 76 = 0. What is the units digit of g? 9 Suppose 378 = 3*b - 4*g, 0 = -b + 2*g + 187 - 59. What is the hundreds digit of b? 1 Let x be 30/4*6/9. Suppose 4*t + 4 = r + x*t, -5*r + 2*t + 6 = 0. What is the units digit of r? 2 Let b be 3 + (-3 - -2)/1. Let c be 2 - (b/(-2) + 6). Let a = -1 - c. What is the unit...
{ "pile_set_name": "DM Mathematics" }
Rearrange 262*n**2 + 460*n**2 - 75*n**2 to z + a*n + y*n**2 and give y. 647 Express 3*m - 11*m**3 + 61*m**3 - 14*m**3 + 1 - 12*m**2 - 1 as a + v*m**3 + l*m**2 + h*m and give v. 36 Rearrange (3*j + 3 - 1 - j)*(-1 + 2 - 3 + (-1 + 5 - 2)*(0 + 2 - 3)) + 48*j - 44*j + 141*j to the form f*j + m and give m. -8 Rearrange (-2 ...
{ "pile_set_name": "DM Mathematics" }
ose -72*o + 19258883 + 65206744 = 69*o. Is o prime? False Let z(u) = 1124*u + 153. Is z(11) a prime number? True Let v(m) = 2453*m**2 + m - 1. Suppose 18*j + 8 = 26*j. Is v(j) a composite number? True Let c be -2*(-2)/((-9)/(-3) + -2). Suppose -c*u - s = -4059, 9*u - 5*s - 5080 = 4*u. Suppose -4*a = a - u. Is a a compo...
{ "pile_set_name": "DM Mathematics" }
3)) -1/29 What is the value of (-3*3)/(-1)*(-240)/((-960)/(-8))? -18 What is (-36)/(-150)*(-105)/14? -9/5 What is (1/(-7)*-5)/((-5280)/(-6336))? 6/7 Calculate (-60)/16*10/15*-6. 15 What is the value of 3/((-1*(-2)/(-14))/((-1552)/4074))? 8 Evaluate (42/(-35))/(14/(-15))*(-5)/(-15). 3/7 Evaluate (-35)/(-245)*((-126)/20)...
{ "pile_set_name": "DM Mathematics" }
5 Four letters picked without replacement from vvvvvvvnvvvvvkkk. Give prob of picking 3 v and 1 n. 11/91 Two letters picked without replacement from eisks. What is prob of picking 1 i and 1 e? 1/10 Calculate prob of picking 1 b and 2 o when three letters picked without replacement from byoyobbbwwbybbb. 8/455 Calculate ...
{ "pile_set_name": "DM Mathematics" }
0 = 5*x - 0*x - 3*q for x. 0 Let q be (5/5*(-2 - -2))/(-1). Solve 28 = -q*d + 5*d - 3*i, i = -1 for d. 5 Let q(m) = m**2 + 6*m + 5. Suppose -3*n + 4*p = 41, -18 = 4*n + 4*p - 2*p. Let x be q(n). Solve -2*r + 5*t = 14, 6*t - 3*t - x = 0 for r. 3 Let r be 4/(-3 - (-2 - 2)). Let t = r + -1. Suppose -5 = -4*q + t. Solve 5...
{ "pile_set_name": "DM Mathematics" }
Rearrange 91*m + 736*m + 1010*m + 1603*m to the form u + v*m and give v. 3440 Rearrange (-4*u + 5 - 5)*(8*u - 8*u + 16*u**3) - 73*u**4 - 14222*u**3 + 14222*u**3 to the form l*u**4 + i*u + j + z*u**2 + k*u**3 and give l. -137 Express (-3*z - 2*z - 3*z)*(7*z - 3*z - 3*z) + (0*z - z + 0*z)*(5*z + 0*z + 2*z) + 7*z**2 - 4*z...
{ "pile_set_name": "DM Mathematics" }
*t - 886. What is the first derivative of r(y) wrt y? 8186*y Suppose 2*c = 6*c - 180. Suppose -c = 16*p - 19*p. What is the second derivative of -5*g**5 + 64*g - 25*g + p*g**5 wrt g? 200*g**3 Let v(p) be the second derivative of 0 - 1/4*p**5 + 47*p + 14*p**3 + 0*p**4 + 0*p**2. What is the second derivative of v(j) wrt ...
{ "pile_set_name": "DM Mathematics" }
? 6 Suppose 2*x = -5*i + 246, x = -3*i + 58 + 64. What is the tens digit of (-359)/(-8) - -1 - (-16)/x? 4 Suppose -2*x + 1186 = -1896. What is the tens digit of x? 4 Let w be 2*(-2)/(4/(-3)). Suppose 5*a - w*a = 174. What is the tens digit of a? 8 Suppose 2*c = -2*c - 3*b + 496, 472 = 4*c - 3*b. Let h = c - -7. What is...
{ "pile_set_name": "DM Mathematics" }
-2099, -2388, -2429, -2222? -1767 What is next in 43224, 43142, 43008, 42828, 42608? 42354 What comes next: 11, -30, -91, -172? -273 What comes next: 3778, 30067, 101368, 240187, 469030, 810403? 1286812 What is the next term in 23899, 48048, 72361, 96838, 121479, 146284? 171253 What is next in 38653163, 77306327, 11595...
{ "pile_set_name": "DM Mathematics" }
z/(-12)). Let u be (1 - 2) + c/(-7). Put u, 0.1, 3 in increasing order. u, 0.1, 3 Let h = -0.4 - -0.9. Let u = 233/5 + -47. Sort 2/19, h, u in descending order. h, 2/19, u Let j = -9 + 13. Put 0, j, 1 in ascending order. 0, 1, j Let b = -11 + 13. Put -0.5, b, 0.4 in descending order. b, 0.4, -0.5 Let d = 5 - 5.08. Let ...
{ "pile_set_name": "DM Mathematics" }
- (9 + 10 - 18). -3 -9 + -22 + (-7 - -31) -7 What is -30 - -3 - (1 + 2 + 13 - 11)? -32 What is (-37 - -14 - -16) + -33 + 13? -27 (-26 - (-4 + -14)) + 6 -2 Calculate (0 - (8 + -25) - 9) + (-1 - -4). 11 (2 - -1) + 112 + -106 9 28 + -54 - (-68 - -11) 31 What is 20 - (9 - 10 - -13)? 8 What is the value of -3 + (-3 - -2) +...
{ "pile_set_name": "DM Mathematics" }
se 4? -11031 Convert -1100012 (base 3) to base 15. -452 Convert 1044 (base 8) to base 12. 398 Convert -a764 (base 13) to base 11. -16503 Convert 430 (base 11) to base 8. 1005 What is -31564 (base 7) in base 14? -2bdb -1111100001 (base 2) to base 5 -12433 Convert -c61 (base 16) to base 7. -12145 What is -11929 (base 11)...
{ "pile_set_name": "DM Mathematics" }
is the hundred millions digit of 261577227? 2 What is the tens digit of 358480008? 0 What is the hundred millions digit of 917762949? 9 What is the units digit of 2916971118? 8 What is the ten millions digit of 75815860? 7 What is the ten thousands digit of 19773331? 7 What is the hundred thousands digit of 264748577?...
{ "pile_set_name": "DM Mathematics" }
t(108)/sqrt(4)). 78*sqrt(7) + 2804 Simplify ((sqrt(396)/(sqrt(324)*-4 - sqrt(324)))/(sqrt(44)/((sqrt(1100) - sqrt(11))*4)))**2*-5. -396/5 Simplify (-5 + -1*(sqrt(704) + (2*sqrt(704) - sqrt(704)))**2 - (sqrt(77)/sqrt(28)*1 + -5)**2) + 5 + -5. -11395/4 + 5*sqrt(11) Simplify -5 + ((sqrt(1539) + sqrt(1539)*2 + sqrt(1539) +...
{ "pile_set_name": "DM Mathematics" }
asing order. 76, -2, -11 Put -0.4, -2/3, -63, 1 in descending order. 1, -0.4, -2/3, -63 Put -4, 3, 56 in ascending order. -4, 3, 56 Put -4/5, 0.1, 2, 6/5, -2 in increasing order. -2, -4/5, 0.1, 6/5, 2 Put 1594, 3, 0.3 in descending order. 1594, 3, 0.3 Put 5, -285, -1 in ascending order. -285, -1, 5 Put -1/4, 3/4, -37/7...
{ "pile_set_name": "DM Mathematics" }
*6/24 - d**5/4 - 24*d**2. Factor j(i). -5*i**2*(i + 3) Let t(r) = 5*r**2 + 2*r + 7. Let u(f) = -3*f**2 - 6*f + 1. Let q(a) = a - 1. Let z(v) = 5*q(v) + u(v). Let x(n) = -4*t(n) - 7*z(n). Let x(h) = 0. Calculate h. 0, 1 Suppose 5*k = 25, 2*k + 9 - 7 = 2*f. Factor -f*x**3 - 3*x - 3/2 + 21/2*x**2. -3*(x - 1)**2*(4*x + 1)/...
{ "pile_set_name": "DM Mathematics" }
- r. Let n be (-1)/2 + (-6)/(-4). Let a be j(n). Suppose 0 = -3*p + 15, -a*i - p + 32 = 3*p. Is i composite? True Let u(w) = w**3 + 9*w**2 + 7*w - 5. Let x be u(-8). Suppose 0 = -x*a - 0*j + 5*j - 2, 0 = 4*a - j + 14. Is (a/12)/((-2)/222) a prime number? True Suppose -5*g + 25 = -2*k, 3*g - 3*k - 25 = -2*g. Suppose -g*...
{ "pile_set_name": "DM Mathematics" }
k**2). -6414*k**3 Expand 3*d**3 - 2*d**3 - 4*d**3 + (0*d**3 - d**3 - 2*d**3)*(15 - 30 - 68). 246*d**3 Expand (14*j**2 - 24*j**2 + 110 + 6*j**3 - 112 + 4*j**5)*(5 + 1 - 4). 8*j**5 + 12*j**3 - 20*j**2 - 4 Expand (0 - 3 + 1)*(-4*l**3 + 4*l**3 - 2*l**3) + 3*l**3 + 4*l**3 - 5*l**3 + 0*l**3 + l**3 - 2*l**3 + l - 30*l**3 + l ...
{ "pile_set_name": "DM Mathematics" }
94*u - 89585 What is the q'th term of -248319, -248328, -248341, -248358? -2*q**2 - 3*q - 248314 What is the w'th term of -2819, -9427, -20431, -35831, -55627? -2198*w**2 - 14*w - 607 What is the c'th term of -3413, -4716, -5985, -7220, -8421, -9588? 17*c**2 - 1354*c - 2076 What is the a'th term of 1847, 14561, 48987,...
{ "pile_set_name": "DM Mathematics" }
= 12*p + 32933*t, 5*t = 2*p for p. 10 Solve 2*z - 2*n - 40 = 0, 676*n - 1354*n = -z - 676*n + 18 for z. 22 Solve 39*c + 170 = -5*x, c + 1800*x = 1797*x + 10 for c. -5 Solve -3*q = -2151269*p + 2151266*p - 9, 5*p + q + 7 + 14 = 0 for p. -4 Solve 19*w - 10*j = -4*j - 20, -53*j + 50*j = w - 10 - 42 for w. 4 Solve -g - 45 ...
{ "pile_set_name": "DM Mathematics" }
de 360 by -90. -4 Calculate 1695 divided by -565. -3 Divide -609 by -11. 609/11 -149 divided by 18 -149/18 Calculate -3 divided by -1891. 3/1891 What is -36 divided by -2? 18 -1780 divided by -356 5 -1488 divided by 6 -248 Divide -246 by 123. -2 Divide 0 by -15. 0 -2575 divided by -8 2575/8 What is 2 divided by -2316? ...
{ "pile_set_name": "DM Mathematics" }
he closest to j? (a) g (b) -5/2 (c) 0.1 (d) 5 c Suppose 0 = 2*f - 4*h - 36, -9*h + 4 = 3*f - 5*h. Which is the nearest to 0? (a) -2/7 (b) 5 (c) f (d) -1 a Let f = -6662 - -6666. What is the closest to -11 in -24, -2/7, 1, f? -2/7 Let h = 0.06 + -6.06. Let k = -5.9 - h. Let b = -0.0097 - -0.5097. What is the nea...
{ "pile_set_name": "DM Mathematics" }
3 (e) 0 c Which is the nearest to 0? (a) 89 (b) -8895 (c) 3 c What is the closest to 14.6 in 0, -42/341, 0.3, 4? 4 Which is the nearest to -5054? (a) -23 (b) 1/5 (c) -3 a Which is the closest to 0? (a) 0 (b) -551409 (c) 0.2 (d) -0.73 a Which is the nearest to -11? (a) 11 (b) -204 (c) 7 (d) -0.3 d What is...
{ "pile_set_name": "DM Mathematics" }
86784589 prime? True Is 22169882479 a composite number? True Is 4107055045 a composite number? True Is 13122517327 prime? True Is 3268567957 a prime number? True Is 459698039 a prime number? False Is 3901975739 a prime number? False Is 12067871197 prime? False Is 20399297077 a prime number? True Is 199853813 a composit...
{ "pile_set_name": "DM Mathematics" }
+ k. Suppose 6*x - 3*x - 24 = n. List the prime factors of x. 2 Let m(o) = o - 3. Let n be m(5). Suppose 2 = n*l - 2. Suppose 0 = l*u - 4*u + 36. List the prime factors of u. 2, 3 Let o = 50 + -33. Let s = 2 - 9. Let h = s + o. What are the prime factors of h? 2, 5 Let v(a) = 2*a - 22. Let z be v(9). Let o = 2 + -3. L...
{ "pile_set_name": "DM Mathematics" }
*i**3 + 11*i - 3*i + 0*i. Calculate 2*l(o) - 133*z(o). -38*o**3 Let g(f) = 9*f**2. Let z(u) = 17*u**2 - u. Suppose 6600*a - 6595*a + 35 = 0. Determine a*g(v) + 4*z(v). 5*v**2 - 4*v Let p(j) = 7*j + 4. Let y(u) = u**2 - 13*u + 20. Let f be y(13). Suppose -28 = 4*k - 4*x, 0 = 4*x - f + 16. Let i(z) = -8*z - 5. Determine ...
{ "pile_set_name": "DM Mathematics" }
. Let b(l) = l**3 + 3*l**2 - 12*l - 4. Let y be b(-5). Calculate a(y). -11 Suppose -3*x + 2*h - 6 = 8, 28 = -5*x + h. Let o(n) be the third derivative of n**4/24 + 5*n**3/6 + 15*n**2 - 2. Determine o(x). -1 Suppose 3*d - d = -3*k - 4, -5*k - 28 = -2*d. Let w(y) = -y**3 + 2*y**3 - 10*y**2 + 14*y**2 + 4. Give w(k). 4 Let...
{ "pile_set_name": "DM Mathematics" }
7? 17 Which is greater: 2148 or 2062? 2148 Is -139 less than -9852/71? True Is 1 less than 2/385381? False Is -507 at most as big as -10163/20? False Which is smaller: -4126/1775 or -3? -3 Is -1102 at least 980? False Is -250/43 not equal to -12? True Is 22 > 1524/65? False Which is bigger: -580 or -1009? -580 Is -2.28...
{ "pile_set_name": "DM Mathematics" }
M? 1:05 AM How many minutes are there between 7:00 PM and 4:30 AM? 570 How many minutes are there between 2:07 PM and 6:41 PM? 274 How many minutes are there between 7:43 PM and 11:43 PM? 240 What is 595 minutes after 11:24 AM? 9:19 PM How many minutes are there between 6:52 AM and 2:29 PM? 457 How many minutes are the...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {u: 3, s: 2, n: 5, m: 2, i: 2, t: 2}. Give prob of picking 1 n and 1 s. 1/12 What is prob of picking 1 d and 1 b when two letters picked without replacement from {b: 4, f: 1, d: 5}? 4/9 Calculate prob of picking 1 y, 2 h, and 1 l when four letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
utes before 11:59 PM? 9:13 PM How many minutes are there between 10:33 AM and 10:16 PM? 703 How many minutes are there between 12:27 AM and 1:17 AM? 50 How many minutes are there between 10:58 PM and 9:41 AM? 643 What is 444 minutes before 1:52 AM? 6:28 PM How many minutes are there between 4:15 AM and 8:26 AM? 251 How...
{ "pile_set_name": "DM Mathematics" }
igger than 86214? False Are 862 and 1588 non-equal? True Is 41.95 not equal to -403? True Is -1796 at least -1973? True Which is greater: 507 or 82.94? 507 Are -11 and -0.12564 equal? False Which is smaller: -73410 or -73412? -73412 Which is smaller: 1030 or 2? 2 Which is smaller: -0.77 or 16/15? -0.77 Is -4287 equal t...
{ "pile_set_name": "DM Mathematics" }
the biggest value? (a) -150/7 (b) -5 (c) 3 c What is the third smallest value in -17, 4, 3, -7, 1? 1 What is the fifth smallest value in -4, -0.02, 2/9, -0.2, -84? 2/9 Which is the biggest value? (a) 5 (b) 3/5 (c) 384/5 c Which is the fourth biggest value? (a) 3/4 (b) -5 (c) 0.11 (d) 0.5 (e) 0 e What is the...
{ "pile_set_name": "DM Mathematics" }
2 Collect the terms in -12*w**3 - 2*w**2 + w**2 + 20*w**2 + 3*w**3 + 20*w**2 + 22*w**2. -9*w**3 + 61*w**2 Collect the terms in 56*t**3 - 86*t - 1 - 61*t**3 + 8*t**3. 3*t**3 - 86*t - 1 Collect the terms in -59856*k - 131168*k - 323772*k. -514796*k Collect the terms in t**2 - 1 - 154 + 52 - 546*t - 89. t**2 - 546*t - 19...
{ "pile_set_name": "DM Mathematics" }
+ n**2 - 1. Let g(i) = 9*i**3 - 4*i**2 + 2. Let d be (-2)/((-8)/(-4))*1. What is d*g(j) - 2*w(j)? -11*j**3 + 2*j**2 Let n = -39 + 54. Suppose -n*d = -17*d - 8. Let v(i) = 2*i**3 + 4*i**2 - 3. Let g(u) = 2*u**3 + 4*u**2 - 4. What is d*v(o) + 3*g(o)? -2*o**3 - 4*o**2 Let s(m) = -4*m + 147. Let r(h) = -25. What is -30*r(l...
{ "pile_set_name": "DM Mathematics" }
**3. What is the derivative of q(l) wrt l? 95 Let l be (((-2)/4)/(-1))/((-12)/(-1056)). Suppose -6*m + 110 = l. What is the second derivative of 449 - z**3 - m*z - 449 wrt z? -6*z What is the third derivative of -143*g**4 + 77*g**2 + 19*g**2 + 147*g**4 + 119*g**6 wrt g? 14280*g**3 + 96*g Let q(m) be the second derivati...
{ "pile_set_name": "DM Mathematics" }
.8 - 9. Suppose 0 = -t - 3*r - 14, -499*t + 27 = -492*t - 4*r. Let d = -0.2 - -0.1. Which is the nearest to t? (a) d (b) x (c) 5 a Let n = 362 + -362.1. What is the closest to n in -38, -4, -3, 3? -3 Let p = 80 + -80.3. Let d(x) = -x**3 + 13*x**2 - 39*x + 35. Let c be d(9). What is the closest to 2/7 in c, 2, p? p L...
{ "pile_set_name": "DM Mathematics" }
b**2 - 3*b**j - b**2 + 3*b**2. Let s(c) be the third derivative of -c**4/3 + c**2. Calculate s(i(w)). 16*w**2 Let n(q) = 2*q**3 + q**2 - q. Let u be n(2). Let g(y) = 298 + u*y**2 + y**2 - 296. Let a(v) = v. Calculate g(a(m)). 19*m**2 + 2 Let f(v) = -2*v. Let q(o) = 8230*o**2 + 6*o. Give q(f(r)). 32920*r**2 - 12*r Let x...
{ "pile_set_name": "DM Mathematics" }
a Which is the closest to 0? (a) -417 (b) -111 (c) -7/12 c Which is the nearest to 1? (a) 2.95 (b) 4/19 (c) 6 (d) 13 (e) 2/13 b What is the nearest to 2/3 in -1/9, 3388, 0.1, -3/4, 1.3? 0.1 What is the closest to 0 in -163, -2229, -2/15? -2/15 Which is the closest to -1/18? (a) 1/13 (b) 0.5 (c) 1/6 (d) -10...
{ "pile_set_name": "DM Mathematics" }
d**2 - 251685*d = 0. 0, 3, 5593 Factor 3*d**3 + 252*d**2 + 5103*d + 9222. 3*(d + 2)*(d + 29)*(d + 53) Solve 10*k**3 + 26666*k**2 + 42632*k - 21320 = 0. -2665, -2, 2/5 What is c in 51*c**2 + 13667*c - 268 = 0? -268, 1/51 Factor 2*q**4 + 220*q**3 + 2248*q**2 + 6980*q + 4950. 2*(q + 1)*(q + 5)**2*(q + 99) Find a, given th...
{ "pile_set_name": "DM Mathematics" }
(s) = s**2 - 6*s + 1. Suppose -4*q + 2*c + 32 = -0*c, -3*c = 2*q - 8. Determine y(q). 8 Suppose -2*c + 6*c + 4 = 0, 5*j - c = 16. Let z(r) = -4*r**2 + 5*r**2 + 3 + 3*r**2 - 8 + r**j. Let g(i) = -i**3 + 5*i**2 - 4. Let n be g(5). Give z(n). -5 Let u(j) = -j**2 - 6*j - 1. Let r(q) = -q**2 + 3*q + 3. Let w be r(-2). Suppo...
{ "pile_set_name": "DM Mathematics" }
. 383*d**4 Expand (r**2 + 0*r**2 + 2*r**2)*(-r**2 + r**2 - 2*r**3) + (r**4 - 2*r**4 + 2*r**4)*(-2*r + 0 + 0) - 11*r**4 + 11*r**4 + 5*r**5. -3*r**5 Expand (x**3 - x**3 + x**4)*(-2*x - 3*x - 7*x) + 10*x**5 + x**2 - 9*x**5 + 2*x - 2*x**2. -11*x**5 - x**2 + 2*x Expand (2 + 1 - 1)*(-7 - 1 - 32)*(-5*i + 3*i + 3*i). -80*i Exp...
{ "pile_set_name": "DM Mathematics" }
1. Let v = h - -5. Let z = v + -0.1. What is the closest to -1/3 in 1/4, z, 2/13? z Let l = 19 + -18.74. Let a = l - -0.04. Suppose 0*k = -k - 5*y, 0 = -5*k - 2*y. What is the nearest to -0.1 in k, a, 3? k Let p(r) = 3*r + 5. Let b be p(-2). Let i = -12 + 3. Let c = 6 + i. What is the nearest to 0.1 in c, 0.5, b? 0.5 L...
{ "pile_set_name": "DM Mathematics" }
*4/4 - 1332*u**3 + 15782315*u**2/4 + 7899147*u/2 - 7893820 = 0. What is u? -7447, -2, 1, 2120 Factor k**3/4 - 149*k**2 + 58891*k/4 - 42834. (k - 472)*(k - 121)*(k - 3)/4 Factor -l**3 - 218575*l**2 - 11933149712*l + 1159573006912. -(l - 97)*(l + 109336)**2 Find f such that -f**4 - 23*f**3 + 4599*f**2 + 145775*f - 840350...
{ "pile_set_name": "DM Mathematics" }
econd derivative of n*a**2 + 14 + o*a + 14 - 28 wrt a? 8 Let o(x) = x**2 - 5*x + 4. Let q be o(5). Find the first derivative of 7*t**q + 8 + t**4 + 20 + 2*t**4 wrt t. 40*t**3 Let b(y) be the first derivative of 13*y + 39 + 3*y - 29 + y**4 - 3*y. Differentiate b(s) with respect to s. 12*s**2 Suppose 2*p = -o + 5, 8*o + ...
{ "pile_set_name": "DM Mathematics" }
4). Let h(j) be the third derivative of 1/660*j**6 + 0*j + 0*j**4 + 0*j**3 + 0 - u*j**2 + 1/165*j**5. Factor h(t). 2*t**2*(t + 2)/11 Suppose 512/3*w**3 + 46/3*w + 4/3 - 88*w**4 - 298/3*w**2 = 0. What is w? -2/33, 1/2, 1 Let r(w) = -9*w**3 - 7*w**2 - 7*w - 7. Let x(q) = 4*q**3 + 3*q**2 + 3*q + 3. Let g(z) = 3*r(z) + 7*x...
{ "pile_set_name": "DM Mathematics" }
t x = o - 7/2139. What is the common denominator of 48/13 and x? 130 Let f = -2678 - -37469/14. What is the common denominator of f and (275/77)/(4/(-7)*3)? 84 Let b = -142637 + 1074769793/7535. Let j = 670679/241120 + b. Find the common denominator of j and 162/16*(-20)/(-105). 224 Suppose 4*w - 2*w - 82 = 0. Let p = ...
{ "pile_set_name": "DM Mathematics" }
t r = 3.02 + 0.38. Let f = -0.6 - r. What is the nearest to -0.4 in -0.4, f, m? -0.4 Let r = -8 + 6. Let o = 49/5 + -10. What is the nearest to r in 5, o, -5? o Let m = 6.11 + -0.11. Let g = 5 - m. Which is the nearest to 0? (a) 4/9 (b) 0.3 (c) g b Suppose -d = -6*d. Which is the closest to d? (a) 3 (b) 0.1 (c) -...
{ "pile_set_name": "DM Mathematics" }
lse Is 31 a factor of 2483162? True Does 25 divide 222596? False Is 86 a factor of 1351521? False Is 80 a factor of 162495? False Does 2 divide 56587? False Is 366 a factor of 644799? False Does 3 divide 38397? True Is 155 a factor of 218861? False Does 17 divide 1962760? False Is 95 a factor of 273290? False Does 255 ...
{ "pile_set_name": "DM Mathematics" }
1)*f)*f))/(f*f*f*f*f/(f/((f/(f*(f*(f/(f**12/f))/f)/f*f))/f)))*f**2*f**4/f*f*f*f assuming f is positive. 1/f Simplify ((m**(-4)/m)/m)**31/(m**7/m*m*(m/(m/(m**11*m)))/m) assuming m is positive. m**(-204) Simplify (d/(d*d*d/(d*d**(-2))))**(-1/18)/((d/((((d**15*d)/d*d)/d)/d))/(d*d**(6/11))) assuming d is positive. d**(971/...
{ "pile_set_name": "DM Mathematics" }
788*m + 785*m, 21 = -5*p - m for p. -4 Solve -32 = 2*q - 1028*z + 1032*z, -3*q - 16 = -2*q - 4*z for q. -16 Solve -3*o + v + 183 = 149, -2*o = o - 4*v - 22 - 15 for o. 11 Solve 6*f = -5*k - 19 - 232, 0 = -3*f + 8*k + 79 - 194 for f. -41 Solve 0 = 4*k - 5*f + 35, 0*k - 5*f + 710 = 5*k + 720 for k. -5 Solve -4*l + 6 = 5*...
{ "pile_set_name": "DM Mathematics" }
se Is 303115537 a composite number? False Is 82685474167 prime? True Is 132213797 composite? False Is 50345320301 a composite number? False Is 1283414761 a prime number? True Is 68536399553 a prime number? False Is 210154979 composite? True Is 152280057 a prime number? False Is 1534506287 a composite number? True Is 92...
{ "pile_set_name": "DM Mathematics" }
63468. (r - 123)*(127*r - 2580)/5 Let 2*p**2 - 2963712*p + 1097948602368 = 0. Calculate p. 740928 Determine y, given that -2*y**3/3 - 186898*y**2/3 - 20504330*y - 1690109850 = 0. -93119, -165 Suppose 2*q**2/3 - 206264*q + 3093910/3 = 0. Calculate q. 5, 309391 Factor 5*n**3 + 12826340*n**2 + 8226019236305*n + 3454701826...
{ "pile_set_name": "DM Mathematics" }
0277*d**2 + 937402? 14320554*d Find the second derivative of -n**3 + 36945*n**2 - 1516*n - 6. -6*n + 73890 What is the third derivative of 34464*t**4 - t**3 + 20*t**2 + 625*t - 3 wrt t? 827136*t - 6 What is the derivative of 18*t**3 - 31*t**2 + 5*t + 643266? 54*t**2 - 62*t + 5 Find the second derivative of 9924*u**4 + ...
{ "pile_set_name": "DM Mathematics" }
(f**(-2/31)/f)/(f*f*f**(-13)/f*f))**(5/4))**(-1/15) assuming f is positive. f**(-77/93) Simplify (((d/(d/d**(1/6))*d)/d)/(d*d*d**5*d*d*d))**14/(((d*d*d/(d**(-2/9)/d)*d)/d)**(-23)/(((d/(d**(-2/5)/d))/d*d)/d)**(-10)) assuming d is positive. d**(-491/9) Simplify ((w*w**(-2)*w)**29)**(-9)*(w*w*w**(1/5)*w**6)/(w*w**0)**43 a...
{ "pile_set_name": "DM Mathematics" }
5*h**4 + 38*h**2)*(-4*h + 6*h - 3*h). -15*h**5 Expand (-1 + 1 - 2)*(3*p**2 - 2*p**2 - 2*p**2) + 2*p**2 - 3*p + 3*p + p**2 + 0*p**2 - 3*p**2 + 2*p**2 - p**2 + 0*p**2 - 4*p**2 + 4*p**2 + 4*p**2. 7*p**2 Expand (0 + 0 - 2*i**2)*(-4 + 3 - 1)*(-7 + 5 - 11). -52*i**2 Expand (0*o**4 + o**4 - 2*o**4)*(1 + 1 + 0) - 3*o**2 + 3*o*...
{ "pile_set_name": "DM Mathematics" }
79 = 4*m. What is the ten thousands digit of h? 4 Let z be (0/(5/1))/1. What is the tens digit of z + 747 - (-2 - -5)? 4 What is the hundreds digit of 4*(-2)/(-1) + 406011/57? 1 Suppose -1543*g = -1570*g + 396684. What is the tens digit of g? 9 Let n be -6*(-3 - 224/6). Let x = n - 167. What is the tens digit of x? 7 L...
{ "pile_set_name": "DM Mathematics" }
rime factors of d. 3, 7, 29 Let n = -1165 + 1991. List the prime factors of n. 2, 7, 59 Let v be 60/(-40)*(-4)/(-3). Let x(p) = p**3 + 5*p**2 + 5*p + 5. Let c be x(v). Suppose -c*z + 255 + 88 = 0. What are the prime factors of z? 7 Let m(o) = -o**3 - o**2 - 15*o - 39. List the prime factors of m(-5). 2, 17 Suppose 0 = ...
{ "pile_set_name": "DM Mathematics" }
6 Let y(a) = 17*a - 4. Let g be y(1). Suppose 3*c - g = 5*z, -2*c - z - 6 = -6*c. Let x(r) = -9*r**2 - 2*r + 1. Calculate x(c). -10 Let f(q) = -9*q + 12810*q**3 - 5*q**2 - 6403*q**3 + 8 - 6406*q**3. Calculate f(6). -10 Let o = -2 + 2. Let z(t) be the second derivative of t**4/12 + t**3/6 + 3*t**2 + 13*t. Let j be z(o)...
{ "pile_set_name": "DM Mathematics" }
Let l = -15 - -9. Let k = 15 + l. Suppose 0*t = -3*x - 4*t + 47, -3*x + 2 = -5*t. What is the least common multiple of k and x? 9 Let s(z) = -z - 2. Let g(y) = 2*y + 4. Let b be g(-6). Let u = 9 + -5. Calculate the smallest common multiple of u and s(b). 12 Suppose 0 = -5*q + 4*g + 6804, q - g = -q + 2724. Calculate t...
{ "pile_set_name": "DM Mathematics" }
and 16304? 2038 What is the highest common factor of 77420 and 9559? 79 What is the greatest common factor of 23513 and 224? 7 What is the greatest common factor of 5598 and 36076? 622 Calculate the highest common factor of 15023 and 1577. 83 Calculate the greatest common factor of 103 and 641484. 103 What is the high...
{ "pile_set_name": "DM Mathematics" }
alse Is 1120907009 a composite number? True Is 10103021587 prime? True Is 14137414517 composite? False Is 23835755923 prime? False Is 2043159379 prime? False Is 57307086269 prime? False Is 714792300065 a prime number? False Is 9799059526 prime? False Is 1536589597 composite? True Is 4890742267 composite? False Is 13493...
{ "pile_set_name": "DM Mathematics" }
)*v)*v*v/(v**(1/2)/v) assuming v is positive. v**(449/182) Simplify i**(-20)/(i/(i**(-15)/i))*i**5*i*i/(i/i**(2/51))*i assuming i is positive. i**(-1528/51) Simplify ((b/(b/b**(-1/3)))/b*(b*b**(2/7))/b)/(b**(1/2)/b)**(-7) assuming b is positive. b**(-191/42) Simplify (a*a**(2/15)*a*((a**11/a)/a)/a)/((a/(a**(-12)*a))/(a...
{ "pile_set_name": "DM Mathematics" }