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t a? -120*a + 12 Let d(j) = -120*j**3 + 112*j**3 - 3 + 3. Let i(a) = -17*a**3 - a**2. Let w(b) = -14*d(b) + 6*i(b). What is the third derivative of w(z) wrt z? 60 Let q be ((-16)/(-20))/(2/5). Find the first derivative of 4*h - 1 + 0 - 9 - q wrt h. 4 Let y(v) be the first derivative of 0*v - 3*v**4 + 20*v**2 + 7 + 0*v ...
{ "pile_set_name": "DM Mathematics" }
4. What is q rounded to 1 decimal place? 0.2 Let j = 98 + -11. Let h = 155708768 - 155708854.999909. Let x = h + j. What is x rounded to 5 decimal places? 0.00009 Suppose -7 = 11*t + 92. Let f(w) = -6*w + 36. Let z be f(t). What is z rounded to the nearest 100? 100 Let c(i) = 23*i**3 - 16*i**2 - 21*i - 18. Let b be c(1...
{ "pile_set_name": "DM Mathematics" }
multiple of 17? False Is 14 a factor of 56/(-6)*(15/6 - 7)? True Suppose -a + 2*d = 3*a - 72, 3*d - 92 = -4*a. Is a a multiple of 4? True Suppose 0*u - 15 = -5*u. Is 3 a factor of u? True Suppose 0 = -f + 2*k + 18 + 18, 0 = -4*f + k + 123. Is f a multiple of 11? False Let w = 0 - -27. Let q = w - 13. Does 10 divide q? ...
{ "pile_set_name": "DM Mathematics" }
**6 + g**2 wrt g? 480*g**3 Let r(n) be the second derivative of 0 + 1/6*n**3 - 7*n - 5/2*n**2. Differentiate r(z) wrt z. 1 Let n(f) = f - 2. Let c be n(5). Find the third derivative of -126*p**c + 4*p**2 + 126*p**3 - 3*p**5 wrt p. -180*p**2 What is the second derivative of 34*n - 35*n**2 + 5*n**2 + 9*n**2 + 7*n**2 wrt ...
{ "pile_set_name": "DM Mathematics" }
b + 3*d**3 + d**2 What is the second derivative of 498*u**2*y**2 + 31*u*y - 8*y**2 wrt u? 996*y**2 Find the first derivative of -i**4 + 611 wrt i. -4*i**3 Differentiate -817*j**2 + 6*j + 4947. -1634*j + 6 Find the second derivative of -3332*l*n**2*o**2 + 84*l*n**2*o - 5*l*n**2 + 4*l*o - n**2*o**2 wrt o. -6664*l*n**2 - ...
{ "pile_set_name": "DM Mathematics" }
lse Let r be (44/(-8))/11*-72424. Suppose 2*n - r = -9*n. Let u = n - 2025. Is u composite? True Suppose 0 = -2*t + 3*o - 1, 0 = 5*t - 3*o - 20. Let g(b) = 33*b**2 + 8*b + 58. Is g(t) a composite number? True Suppose 0 = 7*i - 25460 - 73541. Is i a prime number? True Let a(m) = m - 5. Let y be a(8). Let h be 255 - 3/(-...
{ "pile_set_name": "DM Mathematics" }
**3 - 8*i**2 - 6. Let w(g) = g**2 + 1. Let z(p) = h*w(p) + n(p). Find the third derivative of z(b) wrt b. 6 Let j(l) be the third derivative of -l**4/4 + 11*l**3/6 + l**2. Let o(y) = 3*y - 6. Let i(r) = 3*j(r) + 5*o(r). Find the first derivative of i(m) wrt m. -3 Suppose -s - 4 = -4*u + 4, -3*s + u + 9 = 0. What is the...
{ "pile_set_name": "DM Mathematics" }
*3 + 12*d**2 + 7*d - 3. Let y(u) = -o(u) + 6*q(u). Determine y(j). 3 Let j(c) be the third derivative of c**5/60 - c**4/3 - 3*c**3/2 + c**2. Suppose -21*y - 46 = -361. Suppose 0 = -18*t - y*t + 297. What is j(t)? 0 Let i(f) = -2*f**2 - 3*f + 4. Suppose -11*r + 15*r = 8. Suppose -3*o + 4*o = r. Determine i(o). -10 Let i...
{ "pile_set_name": "DM Mathematics" }
). Calculate the greatest common divisor of 103 and d. 103 Let p(b) = 37*b - 193. Let i be p(12). Let n = i + -235. Calculate the greatest common factor of n and 136. 8 Let a(u) be the second derivative of 11*u**3/2 + 207*u**2/2 + 192*u. Let z be a(-6). Calculate the highest common factor of z and 144. 9 Let u(q) = -38...
{ "pile_set_name": "DM Mathematics" }
-83. Let m = 93 + -44. Let h be 6/2 - 126/m. Which is the closest to 0.8? (a) 1/2 (b) n (c) h a Let o be (-1 + 48/36)*12. Which is the closest to -2? (a) o (b) 0 (c) 0.2 (d) -1/46 d Let f = 586 - 583. Suppose -2*y = -2*t, -t - y - 20 = -6*t. Which is the closest to -0.1? (a) t (b) 1/4 (c) f b Let d be -6 - -2...
{ "pile_set_name": "DM Mathematics" }
-4*a**3 + 66*a**2 + 11930*a What is the second derivative of -469796610*x**4 - 76412429*x? -5637559320*x**2 What is the derivative of 67*c**3 + 3*c**2 + 61063*c + 101694561 wrt c? 201*c**2 + 6*c + 61063 What is the third derivative of 196435*b*s**3 + b*s - 68*b - 23*s**3 + 10347*s**2 wrt s? 1178610*b - 138 Find the thi...
{ "pile_set_name": "DM Mathematics" }
010303 What is 22120012212122 (base 3) in base 16? 457190 589d (base 15) to base 16 4987 What is 746745 (base 10) in base 15? eb3d0 Convert -12513240 (base 7) to base 11. -713371 Convert 3264005 (base 7) to base 16. 623a8 -12499380 (base 10) to base 8 -57534664 -1003033121 (base 4) to base 5 -32303132 What is -371644 (...
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of i and b. 22 Let h(d) = -2*d**3 + 38*d**2 - 32*d - 21. Let i be h(18). What is the greatest common divisor of i and 6? 3 Let f(s) = 2*s**2 - 3*s - 8. Let m be f(6). Suppose -3*v + 4*l - 3*l = -65, 3*l = -v + 35. What is the highest common divisor of m and v? 23 Suppose 4*q + 6 = 3*q - 4*j...
{ "pile_set_name": "DM Mathematics" }
s -67465 + -2? -67467 In base 10, what is -440107 + 1? -440106 In base 13, what is 46 - 148? -102 In base 10, what is -5407 + 49? -5358 In base 2, what is -1 - -1011000001000101? 1011000001000100 In base 16, what is -4 - -19d5? 19d1 In base 3, what is -2221 - -110212210? 110202212 In base 9, what is 10760 + 4? 10764 In...
{ "pile_set_name": "DM Mathematics" }
+ d*t - 2, 2*u + t = 0 for u. -2 Let y be (0 - (-30)/(-9))/((-5)/6). Solve 4*z = 5*r - y, -6 - 6 = -3*z for r. 4 Suppose 11 + 13 = 12*o. Let g = 47 - 43. Solve m - 2 = n - 1, g = -5*m + o*n for m. -2 Let m be (-39)/(-6) + 6/12. Suppose -m = -2*l - 1. Solve 5*s - l*x + 16 = 0, 4*s + 10 = 2*x - 2 for s. -2 Let i(w) = -21...
{ "pile_set_name": "DM Mathematics" }
40d9a8c? -40d9a8c In base 10, what is 10683 + 5821? 16504 In base 5, what is -400241133 + -322? -400242010 In base 13, what is -1b9b42 + 87? -1b9a88 In base 13, what is 27 + 47826? 47850 In base 7, what is -62345144 + -5? -62345152 In base 11, what is -1777 + -41a37? -43703 In base 12, what is 190 - 49? 143 In base 4,...
{ "pile_set_name": "DM Mathematics" }
479446578*z**2 Let i(n) = -n**3 + 25*n**2 - n + 42. Let k be i(25). Let f(v) = 17 - 11*v**2 - k + 28*v**2. Let t(u) = -4*u. Determine t(f(p)). -68*p**2 Let f(t) = -46*t. Let l(y) = -10185659*y**2. Determine f(l(a)). 468540314*a**2 Let q(s) = -2522841*s. Let w(x) = 4*x. Give w(q(z)). -10091364*z Suppose 8*u = 10*u - 4. ...
{ "pile_set_name": "DM Mathematics" }
ut replacement from kmmmcemg. What is prob of picking 1 e and 1 g? 1/28 What is prob of picking 1 f, 1 p, and 2 r when four letters picked without replacement from {p: 2, f: 1, r: 2}? 2/5 What is prob of picking 2 y and 1 q when three letters picked without replacement from pyyjyjypaccyq? 5/143 Calculate prob of pickin...
{ "pile_set_name": "DM Mathematics" }
*j + 4*s, j - 31 = -2*s. What is the tens digit of j? 3 Suppose 0 = -3*l - 0*l - 9. What is the units digit of 2/l - (-56)/12? 4 Let q(d) = -2*d - 2. Let s be q(-3). Suppose -s*n = -5*u - 5 - 6, 13 = -3*u - 4*n. What is the units digit of (-2)/2*(u - 4)? 7 Suppose -14 = p - 5*x, 3*p + 2 = -4*x + 17. Suppose p = -u - 1....
{ "pile_set_name": "DM Mathematics" }
3). 44 Let n(f) = -98*f - 5620. Calculate n(-57). -34 Let b(z) = 4*z**2 + 4*z + 2. Calculate b(0). 2 Let s(l) = -2*l**2 - 849*l + 8696. Calculate s(10). 6 Let f(c) = -80*c**2 + 392*c - 58. What is f(5)? -98 Let i(l) = -l**3 + 21*l**2 + 25*l + 198. Give i(23). -285 Let p(k) = -36*k**3 + 71*k**2 - 5*k + 4. Determine p(2)...
{ "pile_set_name": "DM Mathematics" }
+ 3*s + (0*s + 0*s - 2*s)*(2*s**4 - 3*s**4 + 0*s**4). -5*s**5 Expand -s**5 + s - s + (2*s**4 + 0 + 0)*(2*s - s - 3*s). -5*s**5 Expand (0 + x + 0)*(-1 - 1 + 3) - x + 2 - 2 + (2 - 2 - 1)*(0 - 2*x + 0). 2*x Expand (0 - 1 + 0)*(3*l**5 - 5*l**5 + 4*l**5) + 1 - 1 - l**5 - 2*l**5 + l**2 - l**2 + (-2 - 2 + 0)*(-5*l**5 - 2*l**5...
{ "pile_set_name": "DM Mathematics" }
-52851. Let r(b) = -47*d(b) + 2*n(b). Let j = -1 - 1. Calculate j*r(k) + 3*g(k). -3*k**3 + 1 Let v(c) = c + 1. Let n = 3337 - 3338. Let g(m) = -25*m + 1. What is n*g(u) + v(u)? 26*u Let p(y) = 117*y**3 + 21*y**2 - 21*y. Let t = 4081 + -4086. Let o(l) = 29*l**3 + 5*l**2 - 5*l. What is t*p(r) + 21*o(r)? 24*r**3 Let l(i) ...
{ "pile_set_name": "DM Mathematics" }
+ -651/10. Which is the closest to -1? (a) f (b) 0.5 (c) d c Suppose 24 = -161*o + 169*o. What is the closest to -1 in 0.59, o, -4? 0.59 Suppose 0 = 62*b - 37 - 149. Let g = -11495/4 + 2904. Let i = -30 + g. What is the nearest to i in 1, b, -7/5? 1 Let m = 0.229 + 0.271. Let y = 1432 - 24350/17. Let i be (-12)/10*...
{ "pile_set_name": "DM Mathematics" }
3. Let x be q(-8). Let b(d) = 4*d + 1. Let j be b(-1). Sort x, 5, j in descending order. 5, x, j Let j = 3.2 - 0.2. Let k = -3.7 - -0.5. Let m = k + 3.2. Sort m, 0.1, j in descending order. j, 0.1, m Let o(i) = i**2 - 2*i - 6. Let v be o(-5). Suppose -3*k + v = -5*j, 4*j + 10 = -k - k. Put -2, 0, j in increasing order....
{ "pile_set_name": "DM Mathematics" }
r. 1 Solve -g = -b - 1, -3*g + 2*b - 3*b = 13 for g. -3 Solve -2*y - 3*q + 6 + 5 = 0, 0 = -4*y + 5*q + 11 for y. 4 Solve 18 = 2*b + 4*m, 0 = 4*b + 5*m - 50 + 17 for b. 7 Solve -3*v = -5*r + 6*r + 9, -v - 3 = -5*r for v. -3 Solve 0 = -2*j + 3*h - 1, 103*h + 2 = 105*h for j. 1 Solve u - 2*u - 3*h = 0, 2*u + 3*h = 0 for ...
{ "pile_set_name": "DM Mathematics" }
= 4 - 1. Suppose 0 = r*b - 4*v - 8, 0*b + 17 = 5*b - 3*v. Suppose 2*g = -2*g. Solve 3*p - 13 = 2*j, -3*j - b*p = -g - 23 for j. 1 Let b = 30 + -33. Let o be (16/(-6) - -2)*b. Solve -o = -g, -3*t + 3 = 4*g + 4 for t. -3 Suppose 5*y = -3*c + 37, 4*y = -5*c + 75 - 9. Let i = c + 10. Solve -5*w = -3*p - i, -14 = -4*w + 3*...
{ "pile_set_name": "DM Mathematics" }
s the value of 1*(-8)/(88/11)? -1 Evaluate ((-6)/15)/((-20)/(-25)). -1/2 Calculate (-18)/27*6/4. -1 Evaluate ((-2)/(-5))/(((-3120)/75)/(-13)). 1/8 What is 1/14*4*(-4)/(-2)? 4/7 Calculate (((-390)/20)/(-13))/3. 1/2 Evaluate 6/3*(-2)/(-24)*3. 1/2 What is (-6)/18*2*6/8? -1/2 What is 2*4*110/176? 5 Calculate 9*2*(-5)/30. -...
{ "pile_set_name": "DM Mathematics" }
1592567 and 31. 31 Calculate the highest common divisor of 62288 and 76540273. 3893 Calculate the greatest common factor of 390586 and 15295. 161 Calculate the greatest common factor of 69894 and 85041. 99 What is the greatest common divisor of 416 and 587639? 13 Calculate the greatest common divisor of 1172 and 518727...
{ "pile_set_name": "DM Mathematics" }
is h(l(w))? -43808*w**2 Suppose -2 = -0*q + q. Let h = 2 + q. Let u(f) = f + h*f + f. Let j(s) = -2*s**2. Give j(u(x)). -8*x**2 Let s(z) = 41*z**2 - 6*z - 6. Let g(a) = a + 1. Let u(d) = 6*g(d) + s(d). Let x(q) = 2*q**2. Give x(u(l)). 3362*l**4 Let s(d) = 2*d. Let x(p) = -210*p + 1. What is x(s(g))? -420*g + 1 Let z(m)...
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 4 What is the cube root of 1227 to the nearest integer? 11 What is the third root of 7054 to the nearest integer? 19 What is 72035 to the power of 1/3, to the nearest integer? 42 What is the cube root of 7113 to the nearest integer? 19 What is 10693 to the power of 1/4, to the nearest integer? 10 Wha...
{ "pile_set_name": "DM Mathematics" }
s positive. y**(-59/22) Simplify (z**(1/5)/(z/(z*z**0*z)))/((z/z**(-1))/z)**(-5/2) assuming z is positive. z**(37/10) Simplify h/(h**(-2/3)/h*h)*h**(-11)/h assuming h is positive. h**(-31/3) Simplify ((x*((x/x**(15/4))/x)/x*x)/x)**6 assuming x is positive. x**(-45/2) Simplify (a**(-5/6)*a*a**(-4/11))**(-23) assuming a ...
{ "pile_set_name": "DM Mathematics" }
**3 - 44*r**2 + 22. Give 5*i(m) + 11*u(m). 968*m**3 Let h(k) = k**3 - 391*k**2 - 4*k - 39. Let w(a) = a**3 - 261*a**2 - 3*a - 28. Determine -5*h(m) + 7*w(m). 2*m**3 + 128*m**2 - m - 1 Suppose 0 = a - 4*i + 83, -5*a + 44*i - 47*i - 231 = 0. Let b(f) = -89*f - 17. Let q(o) = -11*o - 2. Calculate a*q(h) + 6*b(h). 27*h Let...
{ "pile_set_name": "DM Mathematics" }
/23, -7, 2/9? -7 What is the fourth smallest value in -12, -1, -1/12, -3/7, -3, -3/4? -3/4 Which is the second smallest value? (a) 0.1 (b) 3 (c) -2 (d) 141078 a Which is the third biggest value? (a) -5 (b) 1/9 (c) 1386407 a What is the fifth smallest value in -0.06, -7, 2, -2/675, -4? 2 Which is the smallest val...
{ "pile_set_name": "DM Mathematics" }
s = 26/51 + -3/17. Let y = 3/14 + 1/28. Let d be (-6)/15*((-12)/36 - 3). What is the smallest value in d, s, -2, y? -2 Let p = 97.3 + -112. Let w = p + 15. Let z be 910/231 + (-1)/((-1)/(-4)). What is the third biggest value in z, w, -3? -3 Let h be (-1)/(12 - (-2040)/(-168)). What is the biggest value in 1/6, 2, h, 5...
{ "pile_set_name": "DM Mathematics" }
9*u**2 - 9227 + 4615. 574*u**2 Collect the terms in -265*b**2 - 160*b**2 - 181*b**2 - 302*b**2 + 1264*b**2. 356*b**2 Collect the terms in -107*x - 392 + 372*x + 192 + 200. 265*x Collect the terms in -1145*x**2 + 2*x + 14719*x**2 + 6*x - 8*x. 13574*x**2 Collect the terms in 2 - 4 + 117125197*n - 117125197*n + 3*n**2. 3*...
{ "pile_set_name": "DM Mathematics" }
f - f + 5 = 0, -4*f = -2*x + 532. Let t be ((-28)/6)/((-22)/x). Suppose -t = -2*c + 846. Is c composite? True Is 174 + 8/2 + 9 composite? True Let w(v) be the second derivative of 0 + 41/6*v**3 - 3/2*v**2 - 8*v. Is w(4) a prime number? False Let w(r) = r**2 - r - 1. Let b(m) = -103*m**2 + 7*m + 6. Let d(k) = -b(k) - 5*...
{ "pile_set_name": "DM Mathematics" }
9. Suppose -1 = 45*m - 136. Suppose -3*f - 11 = 2*w, 0 = 4*w - m*f + 41 - 10. Give s(w). -12 Let q(d) be the first derivative of -3*d + 2*d**2 + 8 - 28 - 7 - 1. Determine q(5). 17 Suppose m - 11 = 0, 2205*w = 2204*w - 5*m + 66. Let n(z) = z**2 - 7*z - 2. Let q(b) = -b + 1. Let x(k) = -n(k) - 5*q(k). Calculate x(w). 8 ...
{ "pile_set_name": "DM Mathematics" }
-1)/4)/(85/(-36700)). Let x = u - 108. Let z be 1 + 0 + (2 - 2). Is z > x? True Let h = 35 + -47. Are -12 and h nonequal? False Let q be 54/3 + 7 + -5. Let a = q - 99/5. Is a <= -0.2? False Let c = 917 + -1830. Is -913 bigger than c? False Suppose -16 = -0*c - c. Suppose v + 5*n = -c, v - 5*n = -0*v + 14. Let x = -1902...
{ "pile_set_name": "DM Mathematics" }
ber? True Let i(j) = -5*j**3. Let n be i(-1). Suppose 5*h - 2*c = 707, -h = -n*h - 3*c + 584. Is h composite? True Let a = 7 - 12. Is -3*17*a/3 composite? True Let i(j) = 5*j**2 + 22*j - 7. Is i(-12) prime? True Suppose 3*a + 2868 = 4*r + a, -3584 = -5*r + 3*a. Suppose -2*w - 10 = 0, -w = 4*i - 3*w - r. Is i prime? Fal...
{ "pile_set_name": "DM Mathematics" }
10 What is the u'th term of -10114, -20136, -30158, -40180? -10022*u - 92 What is the v'th term of 2426, 4848, 7268, 9686, 12102, 14516, 16928? -v**2 + 2425*v + 2 What is the a'th term of 65231, 65238, 65247, 65258, 65271, 65286, 65303? a**2 + 4*a + 65226 What is the k'th term of 1025, 1180, 1335, 1490, 1645? 155*k + ...
{ "pile_set_name": "DM Mathematics" }
3. -293*j**3 - 2*j**2 Collect the terms in 598*n**3 - 1194*n**3 + 38 + 598*n**3 + 577*n**2. 2*n**3 + 577*n**2 + 38 Collect the terms in 15*s - 82*s + 35*s + 95*s + 45*s + 18*s. 126*s Collect the terms in -8629*i**3 + 1891*i**3 + 31608*i**3. 24870*i**3 Collect the terms in -363*f - 362*f - 385*f - 378*f + 1519*f. 31*f C...
{ "pile_set_name": "DM Mathematics" }
the value of (28158/(-975) - -27)/((-4)/100)? 47 What is the value of (1180/826)/(((-27)/(-21))/(-9))? -10 What is the value of 38/15*12 + 140/(-5)? 12/5 30 - (3126/(-1248))/(36/(-432)) -3/52 What is the value of (-10 - 0)/((-47064)/370 + 127)? 50 What is 9/(-60) - (-90111)/171640? 3/8 Calculate 22/220 + 172/160*9*(-72...
{ "pile_set_name": "DM Mathematics" }
st 10000? 28260000 Round -0.2402273606 to three decimal places. -0.24 Round -610.388502 to the nearest integer. -610 Round -6038649.01 to the nearest one hundred. -6038600 What is 2100698.81 rounded to the nearest 1000? 2101000 Round 46232.6437 to the nearest 1000. 46000 Round 0.271028114 to four decimal places. 0.271 ...
{ "pile_set_name": "DM Mathematics" }
- a. What is the tens digit of u? 5 Suppose 2*c + 278 = -156. Let h = c + 491. What is the hundreds digit of h? 2 Let z be ((-14)/21)/(2/(-42)). Suppose -2*m - z*m + 2064 = 0. What is the units digit of m? 9 What is the thousands digit of 1 + 1 - (-1946 - 6)? 1 Let r = 8824 + -5824. What is the thousands digit of r? 3...
{ "pile_set_name": "DM Mathematics" }
7*p**2. Calculate t(y(i)). -9*i**4 - 54*i**2 - 81 Let b(o) = 41*o**2. Let s(t) = -70520*t. Calculate b(s(u)). 203895886400*u**2 Let k(n) = -7*n + 6562. Let a(y) = y**2. Give k(a(v)). -7*v**2 + 6562 Let q(h) be the third derivative of 0*h**3 + 3*h**2 + 0*h + 1/30*h**5 + 0 + 0*h**4. Let n(s) = 11 + s**2 - 3*s**2 - 11. G...
{ "pile_set_name": "DM Mathematics" }
s the fourth biggest value in 0.3, 0.5, 4, -2, -28? -2 Which is the second smallest value? (a) 7 (b) -36 (c) -1/2 c Which is the third biggest value? (a) 0.0876 (b) 0.2 (c) -1 c Which is the fourth biggest value? (a) -1/5 (b) -4 (c) -10 (d) -0.4 c What is the smallest value in -3, 2, 1/44, 3? -3 Which is the ...
{ "pile_set_name": "DM Mathematics" }
0440, -20426, -20386, -20308, -20180, -19990, -19726? 2*z**3 + z**2 - 3*z - 20440 What is the b'th term of 1148, 4589, 10332, 18383, 28748, 41433, 56444, 73787? b**3 + 1145*b**2 - b + 3 What is the t'th term of -267, -534, -781, -996, -1167, -1282? 2*t**3 - 2*t**2 - 275*t + 8 What is the t'th term of -6792, -6796, -680...
{ "pile_set_name": "DM Mathematics" }
(-23 + (31 - 18))? 14 Evaluate -8 - (-18 + 10 + 1). -1 (-11 - (-27 + -2 + -10)) + -9 19 What is -15 + -11 + 18 + -3 - -30? 19 Calculate -7 + (-7 - (-4 + 6)) - -6 - -10. 0 What is the value of -5 - (-2 - -2 - (15 - 11))? -1 Calculate 0 + (4 - -4 - (28 + -3 + -7)). -10 Evaluate (-152 - -171) + (1 - 20). 0 What is the val...
{ "pile_set_name": "DM Mathematics" }
n - 2497. List the prime factors of n. 3, 7, 17 Suppose 5630 = 3*b + 4*m, 5*m = 2*b - b - 1883. What are the prime factors of b? 2, 3, 313 Let h(i) = 3*i**3 - 4*i**2 - i + 2. Let b(g) = -3*g + 19. Let d(n) = n. Let t(c) = b(c) + 4*d(c). Let r be t(-16). List the prime factors of h(r). 2, 11 Suppose 510 = 2*g - 254. Su...
{ "pile_set_name": "DM Mathematics" }
: -451, -963, -1473, -1981, -2487, -2991, -3493? -3993 What comes next: -54, -139, -224, -309? -394 What is next in 15, 50, 145, 330, 635, 1090, 1725, 2570? 3655 What is next in 59, 121, 183? 245 What is next in -31, -125, -283, -505, -791, -1141, -1555? -2033 What is the next term in -1409, -2795, -4181, -5567, -6953,...
{ "pile_set_name": "DM Mathematics" }
2*p + 13 What is the y'th term of -136608891, -136608890, -136608889, -136608888, -136608887, -136608886? y - 136608892 What is the m'th term of -43813, -87705, -131591, -175471, -219345, -263213? 3*m**2 - 43901*m + 85 What is the g'th term of 70, -442, -978, -1538, -2122, -2730, -3362? -12*g**2 - 476*g + 558 What is t...
{ "pile_set_name": "DM Mathematics" }
st to m in r, -0.5, 3? -0.5 Let w = 1 + 1. Let u = -519 + 4670/9. Which is the nearest to 0.3? (a) w (b) -5 (c) u c Suppose -3*x + 8*x = 0. Suppose -4*s = -3*s + 4*q + 11, x = 4*s + 5*q. Which is the nearest to -1/4? (a) -1/2 (b) s (c) 5/2 a Let v = -0.092 + -73.708. Let f = 74 + v. Which is the closest to f? (a...
{ "pile_set_name": "DM Mathematics" }
hat is 289 minutes before 4:01 PM? 11:12 AM What is 223 minutes after 1:15 AM? 4:58 AM What is 127 minutes before 8:09 PM? 6:02 PM What is 69 minutes before 1:08 AM? 11:59 PM How many minutes are there between 11:36 AM and 10:39 PM? 663 What is 142 minutes after 1:28 PM? 3:50 PM What is 303 minutes before 5:06 AM? 12:0...
{ "pile_set_name": "DM Mathematics" }
7. Suppose 3*h - q*h + 90 = 0. What is the tens digit of h? 3 Let b = -44 - -44. Suppose 3*g + 29 = y + g, 5*y - 5*g - 145 = b. What is the tens digit of y? 2 Suppose -3*s = k - 2101, -6*k + 9*k = 5*s - 3497. What is the hundreds digit of s? 7 Suppose -3 - 9 = -3*g. Let y(l) = l**3 + 3*l**2 - 5*l - 5. What is the units...
{ "pile_set_name": "DM Mathematics" }
Let z(s) = 2*s. Give z(n(f)). 6*f**2 Let x(u) = -2*u**2. Let n(h) = -4*h. Let z(t) = 8*t. Let v(c) = -10*n(c) - 4*z(c). Give v(x(g)). -16*g**2 Let z(s) be the second derivative of s**6/360 - s**4/12 + 2*s. Let o(v) be the third derivative of z(v). Let p(j) = -2 + 4*j + 2. What is p(o(m))? 8*m Let f(p) = 2*p**2 - 12. L...
{ "pile_set_name": "DM Mathematics" }
what is 10001 - -1112? 11120 In base 2, what is 100100 - -1101011? 10001111 In base 2, what is -1 + -10000111? -10001000 In base 16, what is -2bf + -2? -2c1 In base 11, what is 4 - -48? 51 In base 14, what is -a0 - -5? -99 In base 3, what is 10 - 101? -21 In base 10, what is -7 + 3? -4 In base 14, what is ca + 4? d0 In...
{ "pile_set_name": "DM Mathematics" }
11 (d) -0.1 d Let n = 6469/2 + -3232. What is the third smallest value in 0.035, n, 5? 5 Let j be (-3)/(3*9/(-2)). Let v = -132.16 - -0.16. Let r = v - -131.8. Which is the second smallest value? (a) j (b) r (c) 6/13 (d) 2/11 d Let x = 2.4 - 221.4. Let a = x + 174. What is the smallest value in a, 5, 3? a Let o =...
{ "pile_set_name": "DM Mathematics" }
3? 15 Suppose -2*w - 5*k = -50, 0 = w + 2*k - 4*k - 34. Calculate the remainder when 87 is divided by w. 27 Suppose -9*g + 28 = -7*g. What is the remainder when g is divided by (-1 + -4)*(-1 - 0)? 4 Suppose 2*u - 49 = u. Let y be (-34)/(-6)*12*1. Suppose p = -3*p + y. Calculate the remainder when u is divided by p. 15 ...
{ "pile_set_name": "DM Mathematics" }
se 15, what is 941592 - -4? 941596 In base 5, what is -4 - -1001231433412? 1001231433403 In base 10, what is 295 + 53496? 53791 In base 10, what is 213 - -6020593? 6020806 In base 3, what is 11 + -110021001012210? -110021001012122 In base 10, what is -147 - -707373? 707226 In base 9, what is -422134578 - 5? -422134584 ...
{ "pile_set_name": "DM Mathematics" }
r(o) = -4*o**2 + j*o**2 + 3*o**2. What is r(f(y))? -25*y**4 Let j(h) be the second derivative of 0 + 0*h**3 + 1/6*h**4 - 2*h + 0*h**2. Let r(q) be the first derivative of -q**2 + 1. Calculate r(j(o)). -4*o**2 Let z(w) = -6*w - 5. Let v(f) = -7*f - 6. Let c(a) = 5*v(a) - 6*z(a). Suppose d + 0*d = 4. Let g(p) = -4 + d +...
{ "pile_set_name": "DM Mathematics" }
-3*z + 5 - w = 0. Solve -3*h + 6 + 3 = p for h. 3 Let u(b) = 4*b**2 - 4. Let y be u(2). Suppose 3*q - y = 2*q. Solve q = -4*f - 4 for f. -4 Let v = -1328 - -1535. Solve 211*m = v*m - 4 for m. -1 Let g be (-23)/(-7) + 2/(-7). Suppose -3*o = -4*b + 6, -4*o + 18 - 1 = g*b. Let x be 3*45/(-216)*-8. Solve -h = -x + b for h....
{ "pile_set_name": "DM Mathematics" }
38244526? 2, 17, 127, 521 What are the prime factors of 2186712455? 5, 107, 347, 11779 List the prime factors of 195588897. 3, 7, 43, 167, 1297 List the prime factors of 61662345. 3, 5, 4110823 List the prime factors of 134347666. 2, 37, 1815509 List the prime factors of 473824531. 47, 73, 138101 List the prime factor...
{ "pile_set_name": "DM Mathematics" }
et z(y) be the second derivative of -y**4/4 + 4*y. Determine z(c(k)). -27*k**2 Let s(n) be the first derivative of -19*n**3 + 46. Let t(c) = -2*c**2. What is s(t(b))? -228*b**4 Let s(u) = -4*u**2. Let o(c) be the second derivative of c**4/4 - 23*c. Calculate s(o(l)). -36*l**4 Let v(w) = 6*w - 7. Let g(y) be the first d...
{ "pile_set_name": "DM Mathematics" }
i = -116 + n. What is the closest to 0.5 in -1, 0.5, i? 0.5 Let w = 59.954512 - 0.000512. Let s = -60 + w. Let o = 0.136 + s. Which is the nearest to o? (a) -0.2 (b) -0.1 (c) -4 b Let p = -62.3 - -62. Let r = 1.82 + -1.8. What is the nearest to r in 4, p, 1? p Let t = -12238.05 - -12238. What is the closest to -1 i...
{ "pile_set_name": "DM Mathematics" }
7 = 2. Suppose -l*b + 3 = 6. Let g be (0 - b)/((-11)/(-2)). What is the closest to -1 in g, 0.4, -2? -2 Let o = -3/11 - 13/33. Which is the closest to o? (a) 0.03 (b) 3/7 (c) -2 (d) -1 d Let y be (-1)/2*2*-3. Let u be (2 + 0)/(10/y). Which is the nearest to 0? (a) u (b) 5 (c) -0.4 c Let g = -1.5 + 1.5. Suppose 3...
{ "pile_set_name": "DM Mathematics" }
+ 147/319. Let t = -422 + a. Calculate the common denominator of t and -89/14. 70 Suppose 3*l = -3*j - 9, 2*j - 4*l - 1 = 11. Suppose -n + 0*g = 3*g - 7, 2*n - 5*g - 3 = j. Calculate the least common multiple of 28 and n. 28 Let w be (6/5)/((-2)/(-5)). Suppose -w*n + 10 = -n. Calculate the least common multiple of 5 an...
{ "pile_set_name": "DM Mathematics" }
- 3*n + n)*(-7 - 3 + 56) + 5*n - 2*n - 2*n. -91*n Expand (-1 + 3 - 3)*(2*x**5 - 2*x**5 + x**5) - 3*x + 2*x**5 + 3*x. x**5 Expand 3*u**5 + 4*u**5 - 5*u**5 + (-5 + 4 + 2)*(-u**5 + 0*u**5 + 0*u**5) + 4*u**5 - 2*u**5 + 3*u**5. 6*u**5 Expand (7*h - 2*h - 3*h)*(-2*h**2 + 0*h**2 - 3*h**2) + 0*h**3 - 2*h**3 + 0*h**3. -12*h**3...
{ "pile_set_name": "DM Mathematics" }
x = h + 4. Let t = x - 0. Solve -p = -r, -4*p - 2 = -3*r - t*p for r. 1 Let r = -3 - -15. Solve 0 = 4*m - r, 3*a + 0*m = 4*m for a. 4 Let y = 1 + 3. Suppose y*a - 35 = -3. Let b = -6 + a. Solve -6 = -3*j, 0*v = 3*v + b*j - 13 for v. 3 Let y(k) = -k + 3 + k**2 - 2*k**2 + 3. Let c be y(0). Solve c = 2*z, z - 7 = -2*p + 2...
{ "pile_set_name": "DM Mathematics" }
osest to 0.1096 in -0.1, 3, -2/13, -209? -0.1 Which is the closest to -29/5? (a) -4/7 (b) 4/3 (c) -2 (d) -5.2 (e) 0.2 (f) -2/51 d Which is the closest to -148? (a) 1 (b) -2 (c) -2/5 (d) -0.04 (e) 0.194 b Which is the closest to -19? (a) -34.6 (b) 0.11 (c) -1/26 a What is the nearest to 2 in -5, -230, -0.4...
{ "pile_set_name": "DM Mathematics" }
sequence at when two letters picked without replacement from {a: 1, l: 1, s: 2, t: 1}. 1/20 What is prob of sequence ne when two letters picked without replacement from {n: 13, e: 3, z: 1}? 39/272 Two letters picked without replacement from {b: 4, z: 1, w: 3, c: 3, v: 2, p: 3}. Give prob of sequence vc. 1/40 What is pr...
{ "pile_set_name": "DM Mathematics" }
. 1695*y**3 Expand -8*g**4 + 25*g**4 - 6*g**4 + (4*g - 11*g + 4*g)*(-g**3 - g**3 + 0*g**3). 17*g**4 Expand (1 + 2*v - 5 + v)*(0*v - 3*v + v)*(28 + 51 - 65). -84*v**2 + 112*v Expand 74*w**4 + 43*w**3 - 43*w**3 + (1 - 4 + 1)*(0*w**3 + 0*w**3 + 3*w**4). 68*w**4 Expand (4*b - 5*b - b)*(-373*b + 44*b**4 + 373*b + (1 - 1 + b...
{ "pile_set_name": "DM Mathematics" }
ple of 11 and 11? 11 Calculate the common denominator of -43/2202 and 73/16. 17616 What is the common denominator of 151/924 and -58/21? 924 Find the common denominator of -47/50 and -51/110. 550 Find the common denominator of 53/30 and 31/519. 5190 What is the lowest common multiple of 1 and 272? 272 What is the lowes...
{ "pile_set_name": "DM Mathematics" }
4*g = -3*g + 2*w + 12. Calculate the common denominator of 57/2 and g/(-21) - 1314/(-56). 4 Suppose -18 = -w + 3*y, 4*w = -2*y - 13 + 113. Suppose 0 = 2*s - 3*s + 1, -z - 3*s = -w. Calculate the common denominator of -113/12 and (z/(-14))/(10/33). 60 Let d = 20941/10 + -2103. What is the common denominator of d and (-3...
{ "pile_set_name": "DM Mathematics" }
k) wrt k. 600*k What is the derivative of 423434*n - 628 - 423434*n + 2174*n**2 wrt n? 4348*n Let t(q) = q**3 + 31*q**2 + 26*q - 31. Let u be t(-30). What is the first derivative of 0*x**3 - 182 - 69 + u*x**4 + x**3 - 123*x**4 wrt x? -136*x**3 + 3*x**2 Let m(h) = 6*h + 44. Let k be m(-7). Find the second derivative of ...
{ "pile_set_name": "DM Mathematics" }
Does 69 divide 13524? True Is 250 a multiple of 5? True Is 20380 a multiple of 49? False Does 146 divide 12538? False Is 2049 a multiple of 89? False Is 4396 a multiple of 4? True Is 43428 a multiple of 154? True Is 585 a multiple of 39? True Is 114 a factor of 16074? True Does 38 divide 9543? False Is 25 a factor of 1...
{ "pile_set_name": "DM Mathematics" }
y(z). Differentiate r(c) with respect to c. -7 Let r(u) be the third derivative of 5*u**4/6 + 59*u**3/6 + 12*u**2 - 2. Differentiate r(p) with respect to p. 20 Let a be 7 + 3 + -4 + 2. Suppose 3*x - 2*x - 2 = 0. Find the third derivative of a*b**x - 3*b**2 + 0*b**2 - 3*b**5 wrt b. -180*b**2 What is the third derivative...
{ "pile_set_name": "DM Mathematics" }
uppose 5*t = t - 2*i - 94, 2*i = -t - 28. Let g be (5 - 4)/((-2)/t). Let w = 25 - g. Is 11 a factor of w? False Let b = -7 + 0. Let w = b - -11. Suppose -w*f + 62 + 34 = 0. Is f a multiple of 10? False Let g(s) = -2*s + 4. Suppose p + 4*p + 25 = 0. Does 7 divide g(p)? True Let j(l) = 4*l + 1. Let n be j(-3). Let w = 18...
{ "pile_set_name": "DM Mathematics" }
*u**2 - 9*u + 3. Let w(p) = -5*n(p) + 3*x(p). Give w(l). 0 Let x be 0 + 0 - 2/(-1). Suppose -1 - 3 = -4*n. Let s(v) = v + 3 - n - 5*v + 5*v. Calculate s(x). 4 Let p(r) be the second derivative of -r**4/12 + 5*r**3/6 + 4*r**2 + 2*r - 1. Give p(7). -6 Suppose -2*r = -v + 11, 6*r - r = -25. Let y(t) = 0 - 4*t + v + 5*t + ...
{ "pile_set_name": "DM Mathematics" }
n Differentiate 786560*s + 804182 wrt s. 786560 What is the derivative of -185*p**4 + 16*p**3 + 6*p**2 - 10029? -740*p**3 + 48*p**2 + 12*p Find the first derivative of -13*l*m*s + 4*l*m + 308*l*s - 21*l + m*s - 5*s - 749 wrt s. -13*l*m + 308*l + m - 5 Find the first derivative of -124246*q**2 - 552633. -248492*q Find t...
{ "pile_set_name": "DM Mathematics" }
hen 20228 is divided by 6718? 74 Calculate the remainder when 1985 is divided by 303. 167 Calculate the remainder when 36860 is divided by 769. 717 What is the remainder when 121777 is divided by 19? 6 What is the remainder when 109196 is divided by 1300? 1296 What is the remainder when 664689 is divided by 1156? 1145 ...
{ "pile_set_name": "DM Mathematics" }
and s? 144 Let g = -201271/18 + 11177. Let w = 3573687/1476725 + -1/118138. Calculate the common denominator of g and w. 450 Suppose 134 = 6*g - 76. Let y = g - 21. What is the least common multiple of y and 4? 28 Suppose o + 121 = 4*f, 79*f - 77*f = -o + 59. What is the lowest common multiple of (-3)/(1*(-6)/20) and f...
{ "pile_set_name": "DM Mathematics" }
03.5. What is the nearest to 0 in 4, l, c? l Suppose -43*z + 46*z - u + 10 = 0, -4*z - 9*u + 28 = 0. Let a = -1.2 - -0.2. What is the nearest to a in 0.3, z, 0.1? z Suppose 3*r - 2*i - 3*i = -118, -3*i = 4*r + 138. Let l be ((-12)/r)/(0 + -1). Which is the closest to l? (a) 3/5 (b) -0.6 (c) 0 b Let s = 247/20 - 58/5...
{ "pile_set_name": "DM Mathematics" }
(-2)))/(-1). Let m = 3 - o. Solve -18 = 3*y + m*c, c - 3*c = 3*y + 13 for y. -1 Let m(l) = l**3 + 2*l**2 - 6*l - 1. Let v be m(2). Suppose 15 = 5*d - 0*d. Solve -2*f + p = 3, d*f = -v*p - 2*p - 11 for f. -2 Let x = -4 - -3. Let r = x + -29. Let s = r - -45. Solve 3*i - 5*z = s, -2*i - i + 15 = 5*z for i. 5 Let p(o) = -...
{ "pile_set_name": "DM Mathematics" }
to 1? (a) 393 (b) -5 (c) 4 (d) -4 c What is the nearest to -0.17 in 0.1, 2/13, 3, -23, 173? 0.1 Which is the nearest to -0.106? (a) 1/3 (b) -5 (c) -0.2 (d) -3 c Which is the closest to 10/81? (a) -10 (b) -0.03 (c) -3 b What is the nearest to -34 in 2.8, -1, 0.2, 4? -1 Which is the closest to 4? (a) 4 (b) ...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from beebeueebb. Give prob of picking 2 e, 1 u, and 1 b. 4/21 Two letters picked without replacement from {r: 1, h: 1, u: 3, w: 1, j: 1}. Give prob of picking 2 u. 1/7 Four letters picked without replacement from {u: 4, l: 2, o: 5}. Give prob of picking 3 o and 1 u. 4/33 Calculate prob of picking...
{ "pile_set_name": "DM Mathematics" }
erivative of -4/3*b**3 + 10*b**2 + 0*b + 0 + 1/6*b**4. Differentiate m(k) wrt k. 4 Differentiate -3*u**2 - 7*u**2 + 213 + 4*u - 2*u - 332 wrt u. -20*u + 2 Let p be 27/6 - 1/2. Suppose 2*z + 6 = -p*b, 0*z - 2*z + b = -9. What is the derivative of -2*a**z + 5 - 2*a**3 + 2*a**3 wrt a? -6*a**2 Find the first derivative of ...
{ "pile_set_name": "DM Mathematics" }
.99. Put g, c, p in increasing order. p, g, c Let j = 0.4 - 0.7. Let v = -3.3 - j. Let u = v - -2. Sort 5, u, 3/4 in decreasing order. 5, 3/4, u Suppose -51*p - 95 = -46*p. Sort p, 4, 1, -5 in decreasing order. 4, 1, -5, p Let r = -22 - -20. Let x = 0 + 0. Put r, x, -5 in ascending order. -5, r, x Let o = 3.3 + -3. Let...
{ "pile_set_name": "DM Mathematics" }
1)/5). Let x be 1 - (-8)/(-4) - y. Suppose b - 6*b + 50 = 5*m, -x*m + 5*b + 34 = 0. What are the prime factors of m? 2, 3 Let f = 393 - -101. List the prime factors of f. 2, 13, 19 Suppose 2623 = 7*t - 65. What are the prime factors of t? 2, 3 Let q(a) be the first derivative of a**2/2 + 8*a + 7. List the prime factors...
{ "pile_set_name": "DM Mathematics" }
t(133) - sqrt(133) - sqrt(133))))/(sqrt(2016)/sqrt(8)))**2. 19/36 Simplify 1*(3*(sqrt(11) + sqrt(11) + -2) + (sqrt(396) + sqrt(396) + sqrt(396)*-1 - sqrt(11))). -6 + 11*sqrt(11) Simplify (sqrt(42)/sqrt(6)*1)**2*1*-6. -42 Simplify (4 + sqrt(19)*3 + (-2*sqrt(114))/sqrt(6))**2. 8*sqrt(19) + 35 Simplify 5 + (sqrt(1053) - (...
{ "pile_set_name": "DM Mathematics" }
9 - 4*p. What is b(5)? 1 Suppose -2*u + 10 = 4*p, -4*u - 5*p = u. Let j(z) = -7 + z + 8 + 0*z. What is j(u)? -4 Let i(p) = 2*p + 41. Let z be i(-19). Let x be 5/(15/(-4))*-3. Let k(d) = 0*d**2 - 1 - d**2 + x*d - 1. Calculate k(z). 1 Let g = 4 - 1. Let o(z) be the first derivative of -z**4/4 + 2*z**3/3 + 5*z**2/2 - 3*z ...
{ "pile_set_name": "DM Mathematics" }
34 Calculate 0.23*-2. -0.46 3.1 * -0.311 -0.9641 1.4 * -0.27 -0.378 117*0.2 23.4 What is 131 times -2? -262 Multiply -8 and -7. 56 What is -0.1 times 26? -2.6 What is the product of -70 and -74? 5180 Product of 0.3 and 0.0082. 0.00246 Calculate 0.1*-0.014. -0.0014 What is 303 times -17? -5151 What is the product of -23...
{ "pile_set_name": "DM Mathematics" }
, s: 1, m: 2, o: 2, r: 1, g: 1}. What is prob of picking 1 g and 1 o? 1/14 What is prob of picking 2 z when two letters picked without replacement from llpzzzzzgzpz? 7/22 What is prob of picking 1 d and 1 w when two letters picked without replacement from ddwwwddddw? 8/15 What is prob of picking 1 q and 2 n when three ...
{ "pile_set_name": "DM Mathematics" }
*k + 4*u. Suppose 0 = -7*r + 3*r + 40. Suppose -54 = -k*f + 2*a, -3*a - 5 = r. What are the prime factors of f? 11 Let l be 778/12 - (-1)/6. Suppose 3*r - l = 8*r. Let v = -2 - r. What are the prime factors of v? 11 Let c(h) = -h - 19. Let y be c(0). Let b = y + 30. List the prime factors of b. 11 Let b = -9 + 17. Supp...
{ "pile_set_name": "DM Mathematics" }
Is 430634 prime? False Is 275851 a composite number? True Is 156863 prime? False Is 439123 a prime number? True Is 6443 a composite number? True Is 26557 a composite number? False Is 3847 a composite number? False Is 19289 a prime number? True Is 240181 composite? True Is 725035 composite? True Is 4049 a prime number?...
{ "pile_set_name": "DM Mathematics" }
pose -13*g = -6*g - 28. What is g*r(i) - 9*u(i)? -2*i - 3 Let y(r) be the second derivative of -r**3 - 3*r**2 + r. Let j(u) = 37 - 99 + 5*u + 27 + 40. Determine -4*j(c) - 3*y(c). -2*c - 2 Let w(n) = 114*n. Let g(x) = -x. Give -798*g(y) - 6*w(y). 114*y Let i(z) = -5*z**2 + 2*z - 2. Let a(v) = -7*v + 0*v - 6*v + 14*v**2 ...
{ "pile_set_name": "DM Mathematics" }
se 5, what is -1 - -33244? 33243 In base 7, what is -3310 - 2? -3312 In base 11, what is 32 - -6? 38 In base 11, what is -1 - 240? -241 In base 16, what is -3 - 4f0? -4f3 In base 6, what is -44 - 3? -51 In base 13, what is 32b - -9? 337 In base 16, what is -5 - 11? -16 In base 9, what is 6 - 1315? -1308 In base 11, wha...
{ "pile_set_name": "DM Mathematics" }
Suppose -39*f + 37*f = -w. Suppose b + 89 = x, 0 = -x - f*b - b + 69. Is 16 a factor of x? False Suppose -2*q + 0*q - 2724 = -2*i, q + 5*i = -1344. Is (1 - 12/9)*q a multiple of 65? False Suppose -15*d + 1 = -29. Is 2 a factor of (3 + (-11)/(-2))*d? False Let a(x) = x**3 + 17*x**2 - 61*x - 18. Let g be a(-16). Suppose ...
{ "pile_set_name": "DM Mathematics" }
s divided by w. 13 Let z(u) = -2*u**3 - 45*u**2 - 17*u - 1. Let l(m) = -m**3 - 24*m**2 - 8*m. Let i(d) = -11*l(d) + 6*z(d). Calculate the remainder when i(-5) is divided by 14. 11 Let q(p) = -p**2 - 9*p - 6. Let d be q(-8). Suppose -4*l + 5*r = -82, -6 = -2*r - d. Let f = 289 + -203. What is the remainder when f is div...
{ "pile_set_name": "DM Mathematics" }
**i - r**6 - 4*r**6 wrt r? -600*r**3 Let l(c) = c + 4. Let t be l(0). Let f(d) = -d**3 - 7*d**2 + 5*d - 22. Let s be f(-8). What is the second derivative of s*r**t + 2*r**4 + 4*r + 0*r**4 wrt r? 48*r**2 Let t(i) = -3*i**4 - 3*i. Let c = -9 + 13. Let x(z) = -2*z**4 - 3*z. Let b(j) = c*x(j) - 5*t(j). What is the second d...
{ "pile_set_name": "DM Mathematics" }
oes 14 divide (r/n)/((-4)/(-98))? True Let q = 295 + 199. Does 13 divide q? True Let l = -680 + 967. Does 41 divide l? True Suppose -13 = 2*p - b, b + 5 = -0. Let y(k) = 5*k**2 + 19*k - 31. Is 15 a factor of y(p)? False Let r be ((-2)/4)/((-13)/156). Suppose 37 + 23 = r*p. Is 20 a factor of (108/p)/(14/105)? False Let ...
{ "pile_set_name": "DM Mathematics" }