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596, -3414, -3108, -2678? 62*c**2 - 4*c - 3654 What is the j'th term of 241461, 241455, 241449, 241443, 241437, 241431? -6*j + 241467 What is the v'th term of -2928, -5882, -8830, -11766, -14684, -17578? v**3 - 3*v**2 - 2952*v + 26 What is the p'th term of -2689, -5835, -9443, -13519, -18069? -p**3 - 225*p**2 - 2464*p ...
{ "pile_set_name": "DM Mathematics" }
5, 2/17, -17.8, 25, -0.3, -0.2? -0.2 What is the biggest value in -4/23, 110/47, 0.2? 110/47 Which is the biggest value? (a) -5.5 (b) 104 (c) -11 (d) -1/2 (e) -1/8 b Which is the third biggest value? (a) -0.1 (b) -11 (c) 2/1613 b Which is the fifth biggest value? (a) -0.4 (b) 1337 (c) 0.5 (d) 2 (e) -0.5 (...
{ "pile_set_name": "DM Mathematics" }
3, what is -202 + 1002200122? 1002122220 In base 13, what is 27a + -74? 206 In base 16, what is 3 - b96c? -b969 In base 15, what is -1ca - 36a? -545 In base 8, what is -1330 - -560? -550 In base 4, what is 123023100 - 2? 123023032 In base 3, what is 100000 + -2221? 20002 In base 12, what is -5915b3 + 4? -5915ab In base...
{ "pile_set_name": "DM Mathematics" }
ifths of a kilogram? 5400 How many minutes are there in five quarters of a week? 12600 How many meters are there in 428482.5 centimeters? 4284.825 How many months are there in 21/5 of a decade? 504 How many tonnes are there in 9.758699 nanograms? 0.000000000000009758699 Convert 120.58128s to minutes. 2.009688 How many ...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {p: 1, j: 1, u: 1, n: 1, y: 1}? 1/20 What is prob of sequence nnm when three letters picked without replacement from {v: 2, b: 1, n: 2, m: 2, t: 1}? 1/84 What is prob of sequence czc when three letters picked without replacement from ccczzcc? 4/21 Three letters picked without replacement fro...
{ "pile_set_name": "DM Mathematics" }
51 composite? False Is 3891673 a prime number? True Is 111615995 a prime number? False Is 27100501 a composite number? True Is 24662549 prime? False Is 407387 composite? True Is 20326471 composite? True Is 53241169 prime? True Is 1348157 a composite number? False Is 42776491 prime? True Is 2415443 composite? False Is 1...
{ "pile_set_name": "DM Mathematics" }
(3 + -2)*-6. Suppose -s*i = -4*i - 20. What is the remainder when i is divided by -2*(10/(-2) + 2)? 4 Suppose -4*r + 2*f + 58 = -2*r, -2*f = 3*r - 62. Calculate the remainder when r is divided by 9. 6 Suppose -2*a - 3*a + 165 = 0. What is the remainder when 21 is divided by (-123)/(-11) + (-6)/a? 10 Let f be -2 - (-6 ...
{ "pile_set_name": "DM Mathematics" }
(sqrt(80)*-1*3 - sqrt(80)))**2. -120*sqrt(5) + 140249 Simplify (sqrt(245)*3 + 1 + 1*1*sqrt(245))**2 + (-1 + (sqrt(245) + -1)*-2 + 3*(sqrt(245) - sqrt(245)*-2 - sqrt(245)))**2. 112*sqrt(5) + 7842 Simplify (((sqrt(1200)*1*5)/(-5*((sqrt(4)*2*1 - sqrt(4)) + sqrt(4))))**2 + 1)*-1*3. -228 Simplify (2*(3 + sqrt(243))*3 + 1*(s...
{ "pile_set_name": "DM Mathematics" }
the greatest common divisor of 4 and k? 1 Suppose 2*f + 10 = j - 6, -4*j = 3*f - 53. Calculate the greatest common factor of 70 and j. 14 Let o be (-2)/(1*(-3)/(5 - 2)). Suppose -o*n - 7*n + 108 = 0. What is the greatest common divisor of 156 and n? 12 Suppose -3 = 3*p, 3*p - 525 = -6*u + 2*u. Suppose 2*v + 9*w - 4*w ...
{ "pile_set_name": "DM Mathematics" }
8. What is the thousands digit of b(9)? 1 What is the tens digit of (3/6)/((-15)/3324)*-5? 5 Let j be 4/(2/(-1) + 3) - 2. Suppose f - 24 = -j*q - 3*f, 15 = 3*q - f. What is the units digit of q? 6 Let w(s) = 3*s**3 + 13*s**2 - 2*s. Let x be w(-11). What is the hundreds digit of (-29)/9 - -3 - x/18? 1 What is the units ...
{ "pile_set_name": "DM Mathematics" }
minutes before 12:09 AM? 6:42 PM How many minutes are there between 3:33 AM and 9:45 AM? 372 What is 644 minutes after 4:13 PM? 2:57 AM How many minutes are there between 12:25 PM and 5:21 PM? 296 What is 103 minutes after 9:03 AM? 10:46 AM How many minutes are there between 7:30 AM and 11:40 AM? 250 What is 42 minutes...
{ "pile_set_name": "DM Mathematics" }
he nearest integer? 119 What is 475824 to the power of 1/5, to the nearest integer? 14 What is 102874 to the power of 1/2, to the nearest integer? 321 What is the third root of 326430 to the nearest integer? 69 What is the cube root of 173169 to the nearest integer? 56 What is 928466 to the power of 1/10, to the neares...
{ "pile_set_name": "DM Mathematics" }
icking 2 d and 1 q when three letters picked without replacement from {q: 2, d: 2}? 1/2 Four letters picked without replacement from {i: 3, q: 1, j: 5, d: 5, k: 5}. What is prob of picking 1 i, 1 q, 1 j, and 1 d? 25/1292 Two letters picked without replacement from wejue. Give prob of picking 2 j. 0 Calculate prob of pi...
{ "pile_set_name": "DM Mathematics" }
400 + 95. Let b = i - -63. Let l = -94 + b. Does 11 divide l? True Let l(y) = 723*y**2 + 881*y + 21. Is l(-7) a multiple of 47? True Does 22 divide 2503 + -4*1*(130/20)/13? False Is -8 - ((-4005)/10)/(3/12) a multiple of 13? False Suppose -3*i = m - 6577, -3*i + 5*m + 5666 + 905 = 0. Is ((-3)/6)/((-4)/i) a multiple of ...
{ "pile_set_name": "DM Mathematics" }
16/5 and (u/(-10))/(p/(-104)). 5 Let g(m) = -1392*m + 24. Let w be g(7). Let z = w - -194329/20. Calculate the common denominator of z and (-1 - 6/(-4)) + 31. 20 Let x be (426216/(-16))/(33/(-4)). Let s = x - 3234. What is the common denominator of (18/(-45))/((-24)/(-1510)) and s? 66 Let z be (-2)/(-9) + 8114749358/(...
{ "pile_set_name": "DM Mathematics" }
uppose 4*x - p - 6 + 28 = 0, 4*p - 23 = 3*x. Let h be x/((-15)/18)*2. Let q = -4 + 6. Solve 2*z + q*z + h = 0 for z. -3 Let g = -18 - -18. Solve 8 = -g*u - 2*u for u. -4 Let y = -5 - -4. Let z be 4*(y + (-3)/(-1)). Let m(r) = -r**2 + 9*r - 4. Let t be m(z). Solve -t*f - f = 20 for f. -4 Let a be 1/(-3*(-2)/18). Suppose...
{ "pile_set_name": "DM Mathematics" }
v + 38*v = 2, 2*v = -2*q - 7*v - 118 for q. -5 Solve -l - 18 = -5*k, -4*k + 2*l = -57272 + 57248 for k. 2 Solve 4*j = 3*s + j + 10 - 47 + 13, -5*j + 170 = 16*s for s. 10 Solve -28 = 2*k - 3*a, -3*a - 44 = 4*k + 30 for k. -17 Solve 2*g + 2 = -781*t - 782*t + 1559*t, 5*t + 52 = 3*g for t. -5 Solve -3*b - 21*p = -25*p - 7...
{ "pile_set_name": "DM Mathematics" }
f 45/30 - (-9075)/10. 3, 101 Let l(y) = -y + 9. Let f(i) = i**2 + 7*i + 9. Let o be f(-6). Suppose o*v = -3*u - 33, -5*v + 0*u - 51 = 3*u. What are the prime factors of l(v)? 2, 3 Let t = 1830 + -381. List the prime factors of t. 3, 7, 23 Let d(x) = 3*x**3 - x**2 + 2*x - 1. Let n be d(1). Suppose -6*p = -2*k - 3*p + 6,...
{ "pile_set_name": "DM Mathematics" }
9*v**6 - 5599*v**5 + 4*v**3 - 4*v**2 + 67*v - 4. 1080*v**3 - 335940*v**2 + 24 Differentiate -472*b*z + 498249*b + 360*z with respect to z. -472*b + 360 Find the first derivative of -2*t**3 - 10*t**2 + 214*t + 2450 wrt t. -6*t**2 - 20*t + 214 What is the second derivative of -2*b**3*c**2*y - 4054*b**3*c*y - b**3*c + b*...
{ "pile_set_name": "DM Mathematics" }
+ 10553*x**2 + 10554*x**2 - 42211*x**2 + 10554*x**2. x**2 Collect the terms in 4*q - 17*q - 636 + 1091 - 455. -13*q Collect the terms in -263*s + 93*s + 184*s. 14*s Collect the terms in -13 - 1300*g + 14 + 1422*g. 122*g + 1 Collect the terms in -457*h**3 + 899*h**3 - 435*h**3. 7*h**3 Collect the terms in 5*m**2 + 7*m*...
{ "pile_set_name": "DM Mathematics" }
Let q(i) = 12*i**3 + 18*i**2 - 51*i + 39. Let h(p) = -p**3 + p - 1. Let s(k) = x*q(k) + 15*h(k). Factor s(j). -3*(j - 2)**3 Let j(g) be the first derivative of -6/35*g**5 + 4 + 1/21*g**6 + 0*g - 2/21*g**3 + 0*g**2 + 3/14*g**4. Solve j(f) = 0 for f. 0, 1 Let q(k) be the third derivative of -k**7/42 + k**6/2 - 2*k**2. F...
{ "pile_set_name": "DM Mathematics" }
176*i - 3192*i + 168592. Is i a composite number? True Let f(n) = 632*n**2 - 2*n + 1. Let o(s) = -s**2 - 7*s - 9. Let g be o(-2). Is f(g) a prime number? True Let n = 54 - 57. Is (n - (-10)/3)*42909 a composite number? False Let t = -187 - -187. Suppose 6*q - q - 20 = -p, q + 17 = 4*p. Is 1147 + (q - -1 - t) a composit...
{ "pile_set_name": "DM Mathematics" }
/19 - 1922*l/19 - 1920/19 = 0. What is l? -960, -1 Solve 30*d**3 - 275*d**2 - 255*d + 50 = 0 for d. -1, 1/6, 10 Solve 3*f**5 + 387*f**4 + 12657*f**3 + 10377*f**2 - 60288*f + 36864 = 0. -64, -3, 1 Factor -63*u**4 + 69*u**3 - 6*u**2. -3*u**2*(u - 1)*(21*u - 2) Factor -3*u**3 + 3906*u**2 + 7821*u + 3912. -3*(u - 1304)*(u ...
{ "pile_set_name": "DM Mathematics" }
1, 4 = -t. Suppose -7*w + 79 = 639. Let i = v - w. Is 13 a factor of i? True Suppose -19*k + 107 = -4054. Does 4 divide k? False Let p = 25 + -22. Suppose 0 = -4*o + 5 + 3. Suppose -4*u + 146 = p*i, -o*i + 123 - 24 = u. Is 20 a factor of i? False Let d = -2490 - -2522. Is d a multiple of 31? False Let z be ((-3 - -2)/3...
{ "pile_set_name": "DM Mathematics" }
late -5 + -21 + 13 + (-2 - 0) + -15. -30 What is (40 - 52) + 26 + -12 + (-8 - (-22 - -11))? 5 -46 - (1 + 11 + -7 + 8 + -4 - 12) -43 Calculate -105 + (30 + 122 - 89). -42 What is the value of -74 + -78 - -132 - (0 - -30 - -1)? -51 -12 + (30 - 1) + -1832 + 1831 16 Calculate 159 - (-42 - (-254 + 141)). 88 Evaluate (8 + 1 ...
{ "pile_set_name": "DM Mathematics" }
d Let s(j) = 8*j. Let n(q) = -792 - 3*q + 792 + 4*q. Calculate s(n(o)). 8*o Let r(l) = -9786*l. Let d(u) = -3*u**2. Determine d(r(a)). -287297388*a**2 Let z(i) be the third derivative of 0 - 1/24*i**4 + 0*i**3 + 0*i + 2*i**2. Let o(v) = 4*v + 5*v - 6*v - v. What is z(o(q))? -2*q Let s(a) = 338*a. Let n(w) = -w. What is...
{ "pile_set_name": "DM Mathematics" }
. -78*v What is the first derivative of -3811 - 5027*n + 2468*n + 2521*n wrt n? -38 Let t(o) be the second derivative of -3051*o**5/10 + o**3/3 - 261*o**2 - 4307*o + 1. Find the second derivative of t(p) wrt p. -36612*p What is the third derivative of 0*g**3 + 6350*g**2 - 3665*g**5 - 1365*g**2 + 12942*g**5 + 0*g**3 wrt...
{ "pile_set_name": "DM Mathematics" }
67448, 565202, 1339786, 2616810? 4521884 What comes next: 56861, 122062, 187263, 252464? 317665 What is next in -2674, -4525, -5540, -5719, -5062, -3569, -1240? 1925 What comes next: 81291, 162651, 244011, 325371, 406731, 488091? 569451 What is next in -2027263, -2027269, -2027275, -2027281? -2027287 What comes next: -...
{ "pile_set_name": "DM Mathematics" }
0005 Let f(s) = -177*s**2 + 19*s - 16. Let o(k) = -59*k**2 + 6*k - 6. Let d(y) = 6*f(y) - 17*o(y). Let i be d(6). Round i to the nearest one hundred. -2000 Let m = -3592288 + 3592229.99948. Let n = 58 + m. What is n rounded to five dps? -0.00052 Let a = -1253 - -1033. Let p = 2275.05 - 2500. Let d = a - p. Round d to 1...
{ "pile_set_name": "DM Mathematics" }
2*l + 28*l**2. Let i be c(-28). Solve 0 = 5*p + 4*x + 20, -i*p - 3*x = -4*x + 16 for p. -4 Let j(n) = n**3 - 8*n**2 + 23*n - 35. Let k be j(5). Solve -5*r + 25 = k*l, -3*l - 18 - 2 = -4*r for l. 0 Suppose 1 = j - 2. Suppose -4*n - 4*b - 2 = -2*b, -4*b = -4*n + 4. Suppose 4*l + x - 41 = n, -j*x - 35 - 12 = -5*l. Solve -...
{ "pile_set_name": "DM Mathematics" }
common factor of p and 30. 15 Let l(c) = c**3 + 2*c**2 - 4*c + 2. Let m = 4 + -2. Let b be l(m). Calculate the greatest common factor of 110 and b. 10 Let s = -109 + 118. Let k(q) = 9*q. Let f be k(2). Suppose -3*z + 0*z = u - s, -z = 2*u - f. Calculate the highest common factor of u and 63. 9 Let q = 83 + -59. What is...
{ "pile_set_name": "DM Mathematics" }
-150/37) Simplify ((t**(-1)/t*t)/t*t**1)/(t/(t/t**(-1/2)))**(-41) assuming t is positive. t**(-43/2) Simplify (w/w**(10/9)*w/w**(-7/3)*w)**(-40) assuming w is positive. w**(-1520/9) Simplify ((((c/c**(-3))/c*c)/c)**(-2/143))**(-1/12) assuming c is positive. c**(1/286) Simplify (l/((l/(l*l/l**(-1)))/l*l)*l)/l**0*(l**0*l...
{ "pile_set_name": "DM Mathematics" }
*f + 8 - 48 = v. Is f a multiple of 8? True Let v = 10 - 25. Is 2 a factor of ((-12)/v)/((-6)/(-15))? True Let f(a) = 3*a**3 + a**2 + 2*a + 1. Let q be f(-1). Let p = q + 2. Is 42*(p - (-39)/21) a multiple of 18? True Let g be (-2)/(-6) - 142/(-6). Suppose 0*r + 3*r = g. Is r a multiple of 3? False Suppose -5*t = -2*v ...
{ "pile_set_name": "DM Mathematics" }
. -3 Let o(m) = -m**3 + m**2 + 23. Let v be o(0). Let j = -2308 + 1266. Let n = j + 1045. Solve w - n*p - 16 = 2*w, 5*p + v = 2*w for w. -1 Suppose 0 = 199*g - 196*g - 6. Let x be g/((-10)/(1 - 6))*5. Solve 4*b + x*t = -40, 5*b + 42 = -5*t - 3 for b. -5 Suppose 0 = -5*i + 2*q + 355, -4*i - 213 = -7*i - q. Suppose 37 = ...
{ "pile_set_name": "DM Mathematics" }
e 10 -9163 -2b8b (base 12) to base 14 -1c39 What is 16373 (base 9) in base 11? 84a2 Convert -359 (base 13) to base 2. -1001000101 Convert 21322 (base 4) to base 13. 39a What is -10000122 (base 3) in base 2? -100010011100 -29321 (base 10) to base 13 -10466 -211 (base 10) to base 6 -551 Convert -1323 (base 7) to base 9. ...
{ "pile_set_name": "DM Mathematics" }
= -544. Suppose -r = -3*d - 0*n + 4*n, -3*n - 9 = 0. Is d prime? False Let h be 0 + (-6)/9*-3. Suppose 0 = h*q - 54 - 52. Is q a prime number? True Is (-2)/((-8)/1) + (-5046)/(-8) composite? False Let f(h) = 97*h**2 + 9*h - 11. Is f(3) composite? True Let i = -214 - -437. Is i a composite number? False Is (-1)/((15/(-...
{ "pile_set_name": "DM Mathematics" }
posite number? False Is 9228881 a prime number? True Is 1062839567 a composite number? True Is 303926093 prime? True Is 21595291 a prime number? False Is 2156718997 a prime number? False Is 19593633589 a prime number? True Is 27767542531 composite? False Is 73563437941 a prime number? False Is 285370859 prime? False Is...
{ "pile_set_name": "DM Mathematics" }
) + 19)). 39 Evaluate (34 - 30) + (-2 - 1) + -4 + (-8 - -156). 145 Calculate -20 - (-3854 + 3795 - (1 + -2 + 0)). 38 What is 15 - (3 + -24 + (29 - 12) + -23)? 42 Evaluate -483 + 498 - (-3 - (3 - 36)). -15 What is 79 - (177 + (-197 - -96))? 3 What is 22 + 9 - 13 - 34 - (-82 - 9 - 11)? 86 (-1 - -15) + -91 - (19 - 41) -55...
{ "pile_set_name": "DM Mathematics" }
first derivative of x**3/3 - 9*x**2/2 + 9*x + 2. Let y(g) = -g + 57 - 237 + 58 + 61 + 62. What is 4*b(i) - 36*y(i)? 4*i**2 Suppose -13 = -c - 2. Let w(l) = 2*l**3 + 7*l**2 + 4*l. Let u(v) = -6*v**3 - 212*v + 7*v**3 + 5*v**3 + 223*v + 20*v**2. Calculate c*w(k) - 4*u(k). -2*k**3 - 3*k**2 Let g(i) = 20*i**3 - 4*i - 325. L...
{ "pile_set_name": "DM Mathematics" }
/8. 120 Calculate the common denominator of -95/308 and -9/532. 5852 Find the common denominator of -85/336 and -6/77. 3696 Calculate the common denominator of 1/192 and 83/186. 5952 What is the lowest common multiple of 63 and 371? 3339 What is the least common multiple of 20 and 35? 140 Calculate the smallest common ...
{ "pile_set_name": "DM Mathematics" }
et x be h(29). Let j(f) = 8*f**3 - 2*f**2 + 2*f. Calculate j(x). 60 Let q(a) = 2*a + 6. Suppose -589 = -3*t - 2*t - 2*w, 3*w = -3*t + 357. Suppose -108*f = -117*f + t. Calculate q(f). 32 Let q(z) = -328 - 14*z - 45*z + 297 - 260 - 826. What is q(-19)? 4 Let k(g) = -g**2 - 2. Let m(o) = -9*o**2 - 6*o - 14. Let q(a) = 2*...
{ "pile_set_name": "DM Mathematics" }
+ r - 3409 = 0. Is x a prime number? False Let a(i) = 25*i**3 - 4*i**2 - 2*i + 1. Let g be a(-1). Let u(r) = -r**2 - 19*r - 7. Let t be u(-8). Let s = t + g. Is s prime? False Let l(r) be the first derivative of 2*r**3/3 + 7*r**2 - 7*r - 40. Let a(y) = -y - 17. Let t be a(-7). Is l(t) a prime number? True Suppose 15 =...
{ "pile_set_name": "DM Mathematics" }
t value? (a) 6 (b) 939 (c) 1/3 (d) 3/7 d Which is the smallest value? (a) 0.23 (b) 2/3 (c) 147 (d) 0.3 a Which is the biggest value? (a) 1/5 (b) 3 (c) -0.3 (d) -0.371 b Which is the third biggest value? (a) 1 (b) -1/8 (c) 4 (d) 10 (e) 0.8 (f) -3/7 a Which is the fourth smallest value? (a) -0.4 (b) 9...
{ "pile_set_name": "DM Mathematics" }
*2). -11*sqrt(3)/6 Simplify (-1 + (5 + (2 + (sqrt(931) - (1 + sqrt(931))) - (-5*2*sqrt(931) + sqrt(931))))**2 + -2)*-2. -150888 - 1512*sqrt(19) Simplify 5*((sqrt(14)/(sqrt(7) - -3*sqrt(7)))**2 - (sqrt(72) + -3)) + ((sqrt(84)/sqrt(112) + sqrt(12))/sqrt(6) - sqrt(216)/sqrt(3))**2. -30*sqrt(2) + 243/4 Simplify 3 + sqrt(6)...
{ "pile_set_name": "DM Mathematics" }
-44*t = -36*t - 936. What is the highest common factor of 26 and t? 13 Suppose -25*b - 27*b = -6916. Calculate the greatest common divisor of b and 98. 7 Let h be (-530)/(-6) + -3 - 8/6. Let l be -5*(-2 - 7/(-5)). Suppose 4*v - 5*t - 24 = 3*v, 38 = l*v + 2*t. Calculate the greatest common factor of v and h. 14 Let o(t)...
{ "pile_set_name": "DM Mathematics" }
-28185/8. What is the closest to f in -2/5, 1, -2, -0.5? -2/5 Let u be (0 + 10/20)/(10*1/16). Let i = 12 + -19. Let n = 4 + i. Which is the nearest to 1? (a) u (b) n (c) -0.05 a Let p = 581 + 119. Let x = p + -702.995. Let q = 0.005 - x. Which is the nearest to -1? (a) 2 (b) q (c) 2/7 c Let b = 5.4 - 5. Let x = ...
{ "pile_set_name": "DM Mathematics" }
- 105 = -h - 2*n for h. -16 Solve -5*f = 2*m + 23, -48491*m + 10*f = -48500*m - 91 for m. -9 Solve -7*u - 5*u + 13*u - 100 = -20*s, 0 = 15*s - 11*s + u - 20 for s. 5 Solve -1 - 1 = 5*z + 31 - 8, -3*t - 15*z - 31*z = 2*t + 210 for t. 4 Solve -25*q + 29*q = -4*d + 4, 5*d + 5 = 6*q + 10 for d. 1 Solve 5*i + 3*m = 8, 2*m =...
{ "pile_set_name": "DM Mathematics" }
h - 1526. Determine -2*o(b) + 55*v(b). -20*b**3 Let b(q) = -2*q**2 + 23 + 0*q**2 - 17*q - q**2. Let d(p) = -p**2 - 6*p + 8. Let y be 6/87 + 18167/1073. Calculate y*d(c) - 6*b(c). c**2 - 2 Let p(k) = -2*k**3 + k**2 + 33*k - 3. Let a(q) = 2*q**3 - q**2 - 34*q + 4. Determine 4*a(j) + 5*p(j). -2*j**3 + j**2 + 29*j + 1 Let ...
{ "pile_set_name": "DM Mathematics" }
*z**5 + c*z**5 wrt z. 180*z**3 Let r be 1*(-3 + 1 + -2) - -2. Let j be 3/r*(30/(-9) - -2). What is the second derivative of 16*v**j - 42*v**2 + 2*v + 18*v**2 + 19*v wrt v? -16 Differentiate -5*x**2 - 101 - 1121*x - 787*x + 5*x**2 + 2257 - x**2 wrt x. -2*x - 1908 Let x(s) be the third derivative of -927*s**7/35 + 1753*s...
{ "pile_set_name": "DM Mathematics" }
= 0 for l. 9 Solve -1362*t - 1958*t - 411976 = -153016 for t. -78 Solve 65*z - 2039 + 1051 = 1222 for z. 34 Solve -247*z + 500 = -7705 - 3157 for z. 46 Solve -c - 17633 - 142137 = 2457*c for c. -65 Solve 47*l + 28*l + 1443 = 36*l for l. -37 Solve -50764 = 835*g + g + 35344 for g. -103 Solve -1731*q - 18019 = -2218*q f...
{ "pile_set_name": "DM Mathematics" }
005674 + -4557. Round p to five decimal places. 0.00006 Suppose 0 = 4*w + 20, 0 = -3*v + 5*v + 3*w - 64338645. Let f = v - 6329330. What is f rounded to the nearest one million? 26000000 Let i = -6.988 + -0.012. Let n = -12 + i. Let r = n - -17.65. Round r to one dp. -1.4 Let z = 0.551 - 5.127. What is z rounded to 2 d...
{ "pile_set_name": "DM Mathematics" }
common factor of g and 24. 8 Let w(v) = v + 5. Let c(u) = u + 1. Let k(h) = -3*c(h) + w(h). Let n be k(-2). Calculate the greatest common divisor of n and 6. 6 Suppose f + 3 = x, x - 12 = -f - 5. Suppose -67 - 63 = -x*o. Suppose -80 = -3*l - o. What is the greatest common divisor of 45 and l? 9 Suppose -24 - 30 = -u. S...
{ "pile_set_name": "DM Mathematics" }
t w(p) = -21*p + 10. Let z(j) = 63*j - 31. Let f(s) = 7*w(s) + 2*z(s). Does 25 divide f(-4)? False Suppose 3*l - 529 = -w, 0 = -3*l + w + 4*w + 541. Suppose 4*v + 109 = 3*r, -3*r + v - l = -7*r. Is r a multiple of 8? False Let i(z) = z - 27. Let j be i(0). Let u = -21 - j. Suppose -l = u*t - 2*t - 77, 4*l = -4*t + 248....
{ "pile_set_name": "DM Mathematics" }
is the third biggest value? (a) g (b) 0 (c) -0.4 c Let r be -6 + 27 + (-1)/(-1). Let j = r + -65/3. What is the smallest value in j, 0.5, -2? -2 Let i be -2 - 7/((-63)/20). Let q = -2.2 + 2.7. What is the second biggest value in q, 3, i? q Let w(z) = -z - 19. Let f be w(-23). Which is the second smallest value? (a)...
{ "pile_set_name": "DM Mathematics" }
o 5 decimal places. -0.00248 Let i be 1656476/(-12) - (-58)/(-174). What is i rounded to the nearest 1000? -138000 Let x = -3745401.6599761 + 3745403.2. Let m = x - 1.54. Round m to five dps. 0.00002 Let m = -757 - -2040. Let a = 1283.000001307 - m. Round a to seven decimal places. 0.0000013 Let a be (-2)/8 + 204/48. S...
{ "pile_set_name": "DM Mathematics" }
4*i - 618 = -r - 608. Does 9 divide w/28 + 1/r + -1? False Suppose 2540 - 6908 = -4*x. Let b = x - 745. Does 25 divide b? False Let t(f) = f**3 + 27*f**2 + 27*f + 31. Let h be t(-26). Is 21 a factor of ((-84)/h)/(1/(-5))? True Let v(w) = w**3 - 2*w**2 + 8*w + 1112. Does 8 divide v(0)? True Let f(y) = -6*y + 7*y - 3 - 2...
{ "pile_set_name": "DM Mathematics" }
18*s. What is the tens digit of o? 5 Let i = 24 + -2. Let z = 7 - 3. What is the units digit of z*3/(6/i)? 4 Let y(i) = -22*i - 3. Let z be y(1). Let k = z - -28. What is the units digit of 12 + k + (-3 - 1)? 1 Suppose 5*x - 725 = -3*r, -3*r = -2*r + 3*x - 247. What is the hundreds digit of r? 2 Let f = -602 + 2568. Wh...
{ "pile_set_name": "DM Mathematics" }
5 = 5*k + 5*h, 3*k + 5*h = -k + 185. Suppose -5*p = -0*p - k. Let n be o(p). Put -2, n, -4 in increasing order. -4, n, -2 Let x = 1295 - 1299. Sort 0.06, x, -2/7 in descending order. 0.06, -2/7, x Let d = -0.085 + 7.085. Sort d, 4, -9/5. -9/5, 4, d Let u(d) = -d**2 - 16*d + 2. Let k be u(0). Put 4, -8, k in decreasing ...
{ "pile_set_name": "DM Mathematics" }
in -928153*x**2 - 1 + 15140*x**2 + 1. -913013*x**2 Collect the terms in 37832*i - i**2 - 46430*i + 2 - 4*i**2. -5*i**2 - 8598*i + 2 Collect the terms in 4*h**3 - 193429548293*h + 193429548293*h. 4*h**3 Collect the terms in -12*s**2 + 49560098 - 99120194 + 49560096. -12*s**2 Collect the terms in -17841*j**3 + 48942*j**...
{ "pile_set_name": "DM Mathematics" }
ose -5*d - 240 = 15*d. Let n be a(d). Let r(y) = 3*y**2 - 2*y + 4 - 2 - 5*y**2. Let t(o) = o**2. Give n*t(g) - r(g). -4*g**2 + 2*g - 2 Let a(t) = 43*t - 50. Let w(g) = 40*g - 56. Give 6*a(f) - 5*w(f). 58*f - 20 Let v(w) = -71*w + 1542. Let o(x) = 33*x - 764. What is -13*o(t) - 6*v(t)? -3*t + 680 Let s(y) = -5 - y + 3*y...
{ "pile_set_name": "DM Mathematics" }
- (-1632)/119). Solve -100 = -v*g + 26 for g. 9 Suppose 303 = 22*t + 83. Suppose -43 = -t*x + 37. Solve 3*u + u = -x for u. -2 Let x(o) = o**2 + 14*o + 18. Let w be x(-8). Let p = w - -18. Let a = 14 + p. Solve -l + a*l + 2 = 0 for l. -2 Let g = -364 + 380. Suppose 10*o - 7*o - 10 = 2*t, -4*o + g = -2*t. Solve o*l - 1...
{ "pile_set_name": "DM Mathematics" }
se 2*j = 4*j + 8. Let l be (-12)/((-8)/j) + 2. Does 17 divide 1*68*(-3)/l? True Let y be 2/4 + 5/(-2). Let b(h) = 2*h**2 + h - 2. Let f be b(y). Suppose -132 = -f*g + 156. Is g a multiple of 19? False Suppose 0 = -12*w + 4725 + 3567. Is w a multiple of 27? False Let y(s) = 3*s**3 + 10*s**2 - 14*s - 16. Let o(z) = 7*z**...
{ "pile_set_name": "DM Mathematics" }
derivative of m(l) wrt l? 28428*l Suppose 2*l + 114 = -0*m + 2*m, 4*m + 5*l - 237 = 0. Find the second derivative of -6 - m*t**2 - 6*t + 2 + 25*t**2 - 41*t**2 wrt t. -148 Let h(o) = 38*o - 39*o - 2*o**3 - o**3. Let j be h(-1). What is the second derivative of 11*l - 6*l**j + 64*l**2 - 64*l**2 wrt l? -72*l**2 Let j(z) ...
{ "pile_set_name": "DM Mathematics" }
o 103863? True Is -935 greater than -1209? True Which is smaller: -4494/11 or 0.31? -4494/11 Which is smaller: 401486 or 401494? 401486 Is -6.12 greater than or equal to 4.13? False Are -120 and -8.15 equal? False Which is greater: 600 or 5/31? 600 Is -2201/193 at most -12? False Is -1 at least as big as 24/52867? Fals...
{ "pile_set_name": "DM Mathematics" }
rob of sequence gb. 2/153 What is prob of sequence cc when two letters picked without replacement from wwlwwccclpllxcwllcc? 5/57 Three letters picked without replacement from {i: 1, n: 2, l: 1, b: 11, z: 3}. What is prob of sequence nin? 1/2448 Calculate prob of sequence fn when two letters picked without replacement f...
{ "pile_set_name": "DM Mathematics" }
1935*q = 9294*q + 426822 for q. -58 Solve 221054 - 172709 = 2640*f - 273735 for f. 122 Solve -58334 - 23319 = 7423*d for d. -11 Solve 0 = 79*n + 546828 - 548724 for n. 24 Solve 1952*k = -128*k - 837*k - 93709 - 87145 for k. -62 Solve 7115 + 37657 = -58*z + 604*z for z. 82 Solve 34*x + 341*x + 2999 = -96*x - 3124 for x...
{ "pile_set_name": "DM Mathematics" }
mon divisor of 12 and n. 6 Let k be (-3)/2 - (-114)/12. Suppose -8*a = -1424 - 880. Suppose -a = -10*r + r. What is the greatest common divisor of k and r? 8 Let s(b) = -12*b - 9. Let y be s(-6). Let l be (1 + -2)/((-17)/119). What is the highest common factor of y and l? 7 Let q = 23 - 18. Suppose 5*j - 75 = -q. What ...
{ "pile_set_name": "DM Mathematics" }
-5*h - 5*s, -3 = -d*s + 7. Solve 0 = -z + 6*z + h for z. -2 Let w(f) = -f**2 - 6*f - 2. Let o be w(-5). Suppose 0 = -o*l - 0*l. Solve l*k - k = -1 for k. 1 Let p be (-329)/(-63) + (-2)/9. Suppose -3*w = -p*w. Solve w = -g + 1 - 6 for g. -5 Suppose 0 = -3*u + q + 4, 10 = 2*u + 3*q - 0*q. Suppose f = -u*f. Let b be (6 - ...
{ "pile_set_name": "DM Mathematics" }
2. 1111100100010101111011 Convert -c1ab9c (base 13) to base 6. -240342311 1231023302 (base 4) to base 8 1551362 What is -a5965d (base 14) in base 11? -3182623 What is -101101000000110011111010 (base 2) in base 16? -b40cfa 43231543 (base 6) to base 5 311421300 Convert 2177965 (base 10) to base 15. 2d04ca Convert -131311...
{ "pile_set_name": "DM Mathematics" }
order. q, 0.1, -15 Let f = -1.4 - -1.47. Let o = -0.23 - f. Put 5/3, o, -2 in decreasing order. 5/3, o, -2 Let p = -8 + 6. Let z be (1 - 1)*1/p. Let h = z - -4. Sort 0, -3, h in decreasing order. h, 0, -3 Let b = 5 - 3. Suppose b = -4*i - 10. Sort 7, 2, i. i, 2, 7 Let t(y) = -y + 3. Let k be t(3). Suppose k*l = 3*l + ...
{ "pile_set_name": "DM Mathematics" }
? (a) 19 (b) -2/13 (c) -1/27 (d) 0.4 d What is the third biggest value in -4, 0, -2/149, 1/5? -2/149 What is the second biggest value in 0.04, -4, -0.3, -0.05, 1/7? 0.04 Which is the second smallest value? (a) 5 (b) 3/116 (c) -0.3 b Which is the biggest value? (a) 1/4 (b) 3/13 (c) -2 a Which is the fourth big...
{ "pile_set_name": "DM Mathematics" }
3 + -4313150? -4313143 In base 3, what is 11 + 1110100020? 1110100101 In base 16, what is -516 - 16? -52c In base 4, what is 1331 - -131132? 133123 In base 4, what is 30000133 - 3? 30000130 In base 5, what is 223 + 3031? 3304 In base 13, what is -1b99 + -19? -1bb5 In base 15, what is a9e + -6? a98 In base 15, what is ...
{ "pile_set_name": "DM Mathematics" }
- 9 to s*g**4 + d*g**3 + w*g**2 + v*g + t and give s. 1 Rearrange (3*x**3 - 4*x**3 - x**3)*(-17 + 11 - 8) + 1385*x**3 - 358857*x + 358857*x to the form b*x + h*x**2 + z*x**3 + y and give y. 0 Rearrange -74104*j + 2*j**4 + 74074*j + j**3 - j**4 to a*j**2 + r*j**4 + q + d*j + v*j**3 and give r. 1 Express (-79 - 26 - 40 ...
{ "pile_set_name": "DM Mathematics" }
0*k - 1240 for z. -103 Solve 5*d - 4*d = 3*p + 19, -4480*d + 30 = -4477*d for p. -3 Solve 2*g - 7472 = -27*k - 7666, 2*k - 5*g = 207 for k. -4 Solve 2*l + 0*l - 2*o = 5*l + 39, -1956*o = l - 1951*o + 13 for l. -13 Solve 24*x = -q + 27*x - 43, 3*q = -2*x - 184 for q. -58 Solve -5 = 5*y - 5*t, 0 - 5 = 4*y + 6*t + 19 for ...
{ "pile_set_name": "DM Mathematics" }
omposite number? True Is 78901 a prime number? True Is 349333 prime? False Is 1151 a prime number? True Is 376657 prime? True Is 23329 composite? True Is 122933 composite? True Is 563366 a prime number? False Is 40031 prime? True Is 55373 prime? True Is 70671 composite? True Is 2671 a composite number? False Is 82805 c...
{ "pile_set_name": "DM Mathematics" }
Solve 0 = 4*n + w + 4*w - 61, 2*w = -4*n + 34 for n. 4 Solve -2*m = -4*m - n - 1, 2*m - 5*n + 31 = 0 for m. -3 Solve -2*z + y = -0 + 5, -y = -5 for z. 0 Solve -3*w - 12 = 21*r - 18*r, -4*r = 16 for w. 0 Solve -n - 3*g + 15 = 0, n = 18*g - 15*g - 3 for n. 6 Solve -5*d + 3*m + 174 = 167, -d + 6 = 4*m for d. 2 Solve -5*q...
{ "pile_set_name": "DM Mathematics" }
t value? (a) u (b) -0.2 (c) s a Let s = 3357/11 - 305. Suppose -3*x = 4*p - 19 - 1, 5*x = p + 18. What is the third smallest value in x, s, 1/4? x Let f = -0.4 - 0. Let s = 0.9 + 0.7. Let t = -0.4 - s. Which is the third biggest value? (a) t (b) f (c) 0.2 a Let n = -1 - -0.8. Let j = -61/3 - -21. Let x be (3 - -2...
{ "pile_set_name": "DM Mathematics" }
, -11770, -14167? -16568 What is the next term in 280, 2257, 7636, 18121, 35416, 61225, 97252, 145201? 206776 What is next in -18502, -37010, -55520, -74032? -92546 What is the next term in -7, -29, -39, -25, 25, 123? 281 What is next in 15610, 31207, 46812, 62431, 78070, 93735? 109432 What is next in -3509, -3501, -34...
{ "pile_set_name": "DM Mathematics" }
from {k: 4, y: 1, r: 2, f: 2, n: 5, e: 1}. 4/105 Two letters picked without replacement from hllhhll. What is prob of sequence hl? 2/7 What is prob of sequence rr when two letters picked without replacement from kprukpprplprppuppu? 1/51 Four letters picked without replacement from xtxtcmg. Give prob of sequence mcgg. 0...
{ "pile_set_name": "DM Mathematics" }
0. Is (109 - -2)*94/z a prime number? False Let z(q) = 27*q**2 + q - 3. Suppose 4*u - 4 = 2*s, -4*s - 2*u = -0*s - 2. Suppose 2*a - 6*a = i + 9, s = -2*i - 2. Is z(a) a prime number? True Suppose -s + 124 = 5*q, 265 = 2*s + 5*q + 12. Suppose 3*d + 360 = -d. Let g = s + d. Is g composite? True Suppose 0 = 8*j - 2275 - ...
{ "pile_set_name": "DM Mathematics" }
12 - 3 + 0) as x*u + c*u**2 + v*u**3 + d + b*u**4 and give b. -195 Express -1 + 5 - 2 - 8*l - 11*l**2 + l**2 + 11*l as w*l**2 + q + n*l and give q. 2 Rearrange 32*i**4 - 32*i**2 + 11*i**3 - 12*i**3 + 1 - 3 + 38*i**2 to the form g*i + v + j*i**3 + b*i**4 + m*i**2 and give m. 6 Rearrange 169*h + 113*h - h + 123*h to q +...
{ "pile_set_name": "DM Mathematics" }
ase 14) to base 15. ad14 What is -1111000000100010 (base 2) in base 9? -103284 What is -976 (base 11) in base 9? -1542 What is -24a (base 14) in base 8? -712 Convert -20212 (base 4) to base 15. -26a Convert 1101111100 (base 2) to base 16. 37c 10010201 (base 4) to base 5 1013143 Convert -4270 (base 10) to base 7. -15310...
{ "pile_set_name": "DM Mathematics" }
-2938/165) Simplify (x**(-1/4)/(x*x/x**7)*(x*x**(-1))**(5/12))**(-48) assuming x is positive. x**(-228) Simplify ((r**(-5/4)*r)/r**21)/((r**(-19/5)*r)/(r/((r*r*(r*r**(-7/3))/r*r)/r))) assuming r is positive. r**(-1027/60) Simplify s**(2/13)*s**(-8/9)*(s*s/s**(-2/55))/(s**(12/7)*s) assuming s is positive. s**(-63647/450...
{ "pile_set_name": "DM Mathematics" }
*s + 3*r for s. 5 Let m = 16 + -11. Suppose -p = m*v + 3, -2*v + 3*v = -2*p - 6. Solve v = -b - 2*z - 5, b = -4*b - z + 11 for b. 3 Let m be -2 + 0 - (7 + -3 + 1). Let o(g) = -g**3 + 5*g**2 + 7*g + 3. Let z be o(6). Let x = z + m. Solve -x*t - 3*q - 2 = 3*t, -5*q + 6 = -t for t. -1 Suppose b - 4*b - 3*m = -15, -3*b + 2...
{ "pile_set_name": "DM Mathematics" }
Let v(o) = 47204*o**2. What is v(g(k))? 10620900*k**4 Let t(c) = 2 + 1 + c**2 + 0 - 6. Let s(v) = -v**2 + 2. Let n(k) = -3*s(k) - 2*t(k). Let a(h) = -6*h**2 + h - 2*h + h. Give a(n(q)). -6*q**4 Let h(o) = -51*o + 6. Let f(r) be the third derivative of -17*r**4/8 + 5*r**3/6 + 35*r**2. Let b(w) = 6*f(w) - 5*h(w). Let j(u...
{ "pile_set_name": "DM Mathematics" }
-1 Solve 7*y = 5*a + 4*y + 52, 1539*y = 1546*y - 168 for a. 4 Solve 5*x + 68*q + 19 = 76*q, 14*q - 44 = -2*x for x. 1 Solve 9*w - 19*w = -13*k - 9*w + 36, 3 = -k + 2*w for k. 3 Solve 0 = 19*z - 5*a + 498, 2*a - 27 + 38 + 103 = -4*z for z. -27 Solve l - 13 = 7*r - 9*r, 158*l - 3*r - 2*r = 770 for l. 5 Solve -5*b = 4*b +...
{ "pile_set_name": "DM Mathematics" }
) = -29. Let q(n) = -7*p(n) + 3*w(n). Let t be q(9). Suppose -4*o + 22 = t. Solve 0 = o*j - 7 + 27 for j. -4 Suppose 0 = 18*v - 19*v - 5*z - 1, 3*z - 26 = -2*v. Solve -21 = m - v for m. -2 Suppose 3*b + 17*l - 18*l = 10, -5*l - 2 = b. Suppose r = -3*r + b*i, -5*r = -3*i. Solve j + r*j = 0 for j. 0 Let g be (6/(-2))/(16...
{ "pile_set_name": "DM Mathematics" }
b: 6, z: 1, d: 4}? 1/51 Four letters picked without replacement from jeuujvjvgu. What is prob of sequence gevu? 1/840 Four letters picked without replacement from bbbthbbbmbmavvabbbbb. Give prob of sequence atav. 1/29070 What is prob of sequence ddgb when four letters picked without replacement from igggaadadibsibg? 2...
{ "pile_set_name": "DM Mathematics" }
e 5*t - 5 = -9*p + 4*p, 3*t - 24 = 4*p for p. -3 Solve m + 2*r - 9 = 0, 2*m + 78*r + 9 = 83*r for m. 3 Solve 4*u + 12 = 4*i, 4*i = 108*u - 105*u + 11 for i. 2 Solve -4*a - 12 = -7*a, 0 = -2*i + 5*a - 24 for i. -2 Solve -4*s + 20 = -3*f, 9*s + 2*f = 12*s - 15 for s. 5 Solve -2*w = b - 6, 34*w + 2 = -3*b + 32*w for b. -4...
{ "pile_set_name": "DM Mathematics" }
4 = 4*f, 0 = f + 3*j - 2 - 6 for f. -4 Solve 3*s - 13 = -b - 10, 3*s - 3*b - 15 = 0 for s. 2 Solve 3*k - 3*n - 15 = 0, -2*n = 4*k - 12 - 8 for k. 5 Solve 4*z + 24 = 0, 3*m + 36 - 9 = -3*z for m. -3 Solve 24 = 4*o - 4*y, 5*o + 59 = -y + 65 for o. 2 Solve 3*m + 3*f - 2 = 7, -18 = -4*m + 2*f for m. 4 Solve -u - 20 = 4*u ...
{ "pile_set_name": "DM Mathematics" }
(a) -4 (b) 3 (c) -2/7 a What is the closest to 4.7 in -4, -0.3, 15? -0.3 Which is the closest to 0? (a) 8 (b) 2/9 (c) -4 b Which is the nearest to 1/2? (a) -0.4 (b) 9 (c) 0.1 c What is the closest to -1.1 in 1/9, 1, -1/18? -1/18 Which is the closest to -2/9? (a) -1/2 (b) -0.1 (c) -0.3 (d) 4/3 c Which is t...
{ "pile_set_name": "DM Mathematics" }
h is the closest to -1/5? (a) f (b) n (c) -5 b Let g be 4/16 - (-6)/(-8). Suppose 328 + 432 = -4*x. Let t = x + 1332/7. What is the nearest to t in 0.4, -1/4, g? 0.4 Let v = 49 - 54. Let u = 0.2 + -0.1. Let y = -0.2 + 0. Which is the nearest to y? (a) v (b) 1 (c) u c Let n = -33 + 61. Let s = 28.3 - n. Which is t...
{ "pile_set_name": "DM Mathematics" }
.325 centuries in years? 8432.5 What is 668.5565ug in milligrams? 0.6685565 How many centuries are there in fifty-seven fifths of a millennium? 114 How many nanometers are there in 61/2 of a micrometer? 30500 What is 25030.61mg in nanograms? 25030610000 How many kilograms are there in 3/50 of a tonne? 60 How many month...
{ "pile_set_name": "DM Mathematics" }
2*b, r = b + 4*y - 420. Suppose 0 = 2*d - 234 - b. Is d a prime number? True Suppose 4*a = -5*v + 1287, -5*a - 980 = -5*v - 2555. Let p = 517 - a. Is p prime? True Let m(q) = 16*q**2 - 4*q - 4. Let l be m(-4). Let o = 387 - l. Is o a composite number? True Let g be -17 + 14 - (0 + -6). Suppose -g*d + 2*d + 6247 = 5*k, ...
{ "pile_set_name": "DM Mathematics" }
413. 3, 1471 List the prime factors of 1538. 2, 769 List the prime factors of 52701. 3, 11, 1597 What are the prime factors of 7121? 7121 What are the prime factors of 22416? 2, 3, 467 What are the prime factors of 91698? 2, 3, 17, 29, 31 List the prime factors of 2908. 2, 727 What are the prime factors of 47090? 2, 5,...
{ "pile_set_name": "DM Mathematics" }
0.5, y, -1/3 in descending order. 0.5, -1/3, y Suppose -3*z - 4*z = 161. Let q be z/(-5) + -4 + (-96)/(-15). Let y = 3 + -1. Sort q, 1, y in increasing order. 1, y, q Suppose -4 = 4*w - 16. Let c = w + -6. Sort 4, -7, c in descending order. 4, c, -7 Let k = -0.08 + 4.08. Let t = 0.252 - 185.352. Let w = -185 - t. Sort...
{ "pile_set_name": "DM Mathematics" }
prob of sequence lj when two letters picked without replacement from ljvqvvjjvqvvvqqu. 1/80 What is prob of sequence gz when two letters picked without replacement from gaxzn? 1/20 Four letters picked without replacement from edeyedqyddydyydddd. Give prob of sequence dyeq. 1/544 What is prob of sequence txo when three...
{ "pile_set_name": "DM Mathematics" }
m(l) = 2*l**2 - 7*l. Let i(v) = 21*d(v) + 6*m(v). Let r(h) = -2*h**2. Determine r(i(f)). -162*f**4 Let y(i) = 2*i**2. Let u(o) = 2*o**2. Let f(x) = 2*u(x) - 3*y(x). Let z(w) = -2*w. What is z(f(m))? 4*m**2 Let m(q) = -q. Let l(w) = -4*w - 29. Give m(l(i)). 4*i + 29 Let x(s) = 42*s. Let i(v) = 5*v**2. What is x(i(a))? 2...
{ "pile_set_name": "DM Mathematics" }
m**4 - 66 + 21*m**2 - 44*m**2 wrt m? -8*m**3 - 46*m Let p(c) be the second derivative of 2243*c**4/2 + c**3/3 - 33*c**2 - 11842*c. What is the second derivative of p(o) wrt o? 26916 Suppose -4*s + 185 = 5*n, 2*n - 117 = -5*s + 110. Let b be s/75 - (-44)/10. Find the third derivative of -211*z**b + 205*z**5 + z**3 + 2*z...
{ "pile_set_name": "DM Mathematics" }
the terms in 872*r + 870*r + 19*r**2 - 1742*r + 12*r**2. 31*r**2 Collect the terms in -1315368800*p - 40*p**2 + 1315368800*p. -40*p**2 Collect the terms in -292*i**3 + 61*i**3 + 76*i**3 + 75*i**3 + 62*i**3. -18*i**3 Collect the terms in 13 - 20 + 9 + 6*a - 1134*a**2 - 6*a. -1134*a**2 + 2 Collect the terms in 1062 + 6*...
{ "pile_set_name": "DM Mathematics" }