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is a rounded to 5 dps? 0 Let k = -14.7 + 10. Let g = k - -4.70000066. What is g rounded to 7 dps? 0.0000007 Let b = -41.343 + 40.8. Let a = b - 0.077. Round a to 1 decimal place. -0.6 Let m(d) = -6441*d + 54. Let s be m(-6). What is s rounded to the nearest 1000? 39000 Let r = -343.8 + 188. Let g = 175 + r. Round g to ...
{ "pile_set_name": "DM Mathematics" }
f sequence ll? 1/40 What is prob of sequence sssk when four letters picked without replacement from ssksssks? 1/7 Two letters picked without replacement from {d: 2, r: 1, b: 1}. Give prob of sequence rd. 1/6 Three letters picked without replacement from {d: 1, x: 12, q: 4, k: 3}. What is prob of sequence kdq? 1/570 Wha...
{ "pile_set_name": "DM Mathematics" }
83834 = -3*w - 3*s + 3283843, -4*s = -w + 13 for w. 5 Solve -f - f + 61880*c - 102 = 61890*c, -2*c = -4*f + 38 for f. 4 Solve 27*p - 781 = -5*z - 1047, 5*z = 3*p - 176 for z. -37 Solve -37*a - 201 + 145 = k, -a - 7*k = 2*a + 136 for a. -1 Solve -9 = 286*t - 283*t - 26*y, 4*t = -5*y - 12 for t. -3 Solve -7*a + 66 = -4*k...
{ "pile_set_name": "DM Mathematics" }
*x = -10*b + 20, 2*x - 10 = 128*b - 127*b + 4*x for b. 0 Solve 5*a - 29*x - 23*x - 31 = -53*x - 260, -2*a - 2*x = 90 for a. -46 Solve 0 = -3*k - 2*k + 20, -16027*x + 16023*x + 40 = -15*k for x. 25 Solve -h - j + 25 = 2*h + 80, -2*j - 260 = 14*h + 2*j for h. -20 Solve 5*i - 85 = -4*x + x - 150, 3*i - 4*x + 39 = 0 for i....
{ "pile_set_name": "DM Mathematics" }
4 + p*k**2 and give p. 0 Express 252*c**2 + 252*c**2 - 3*c**3 - 23*c - 504*c**2 in the form o*c + d + y*c**3 + r*c**2 and give y. -3 Express 195*t - 59*t + 219*t - 57*t as f*t + k and give f. 298 Express -6365*p**2 + 3182*p**2 + 3201*p**2 in the form r*p + j + i*p**2 and give i. 18 Express -1 + 113*u + 1 - 375*u - 727*...
{ "pile_set_name": "DM Mathematics" }
- 5 + 11*u. Let k be z(10). Suppose -4*d - 18 = -k*r, 3*d - 24 = -4*r - d. Is 7 a factor of r? True Let n be 4/6 - (-1309)/21. Does 15 divide (-76)/19 + (n - 0)? False Suppose -3*t = -6*t + 21. Let y = -6 + 12. Is (5/y)/(t/42) a multiple of 3? False Let n be 5/25 + (-724)/(-5). Suppose -4*w - 5*a = -265, 0*w = -2*w - 5...
{ "pile_set_name": "DM Mathematics" }
4 - 11*l**2 wrt l? -52*l**3 - 18*l Let w(p) be the second derivative of -5/4*p**4 + 0*p**3 + 0 + 0*p**5 + 0*p**2 + 0*p**6 + 13/42*p**7 - 6*p. Find the third derivative of w(c) wrt c. 780*c**2 Let z be 89/(-168) + 36/63. Let w(i) be the third derivative of -z*i**4 + 0*i**3 + 2*i**2 - 1/12*i**5 + 0 + 0*i. Find the second...
{ "pile_set_name": "DM Mathematics" }
t 1, -0.004, -3/22, 2 in decreasing order. 2, 1, -0.004, -3/22 Sort -8, 424, -5 in decreasing order. 424, -5, -8 Put 35, 4, -10, 0 in decreasing order. 35, 4, 0, -10 Sort -0.5, -1/14, -10. -10, -0.5, -1/14 Put -0.3, 2, 4/5, 1/6 in descending order. 2, 4/5, 1/6, -0.3 Sort -2, 21, 2/79 in ascending order. -2, 2/79, 21 Pu...
{ "pile_set_name": "DM Mathematics" }
0.022*-232.5. -5.115 Multiply -413 and 232. -95816 Multiply 39136 and -0.2. -7827.2 -20488 times 13 -266344 2*22759 45518 What is -0.01 times -27.62? 0.2762 19 * -0.15267 -2.90073 Work out 3 * -76045. -228135 -0.05*0.05031 -0.0025155 -160.962 times 4 -643.848 What is 831 times 345? 286695 5 * -0.943359 -4.716795 -0.04*...
{ "pile_set_name": "DM Mathematics" }
a factor of 44505342? True Is 182046728 a multiple of 54? False Does 20 divide 67569469? False Is 398 a factor of 2555673484? False Does 818 divide 122335585? False Is 27 a factor of 137532513? False Does 18 divide 164754648? True Does 67 divide 30257682? False Does 402 divide 161903892? True Is 439037160 a multiple o...
{ "pile_set_name": "DM Mathematics" }
5, -1207397, -2146467, -3353829, -4829477, -6573405, -8585607? f**3 - 134158*f**2 - f + 1 What is the t'th term of 3375, 9586, 15795, 22002, 28207, 34410, 40611? -t**2 + 6214*t - 2838 What is the z'th term of -13264, -13592, -14122, -14854, -15788, -16924, -18262? -101*z**2 - 25*z - 13138 What is the m'th term of 6115,...
{ "pile_set_name": "DM Mathematics" }
of a milligram? 240 How many months are there in thirty-one halves of a century? 18600 How many minutes are there in 19.677702 nanoseconds? 0.0000000003279617 How many meters are there in 3/50 of a kilometer? 60 Convert 29.85682ml to litres. 0.02985682 What is 3/8 of a tonne in kilograms? 375 How many millilitres are ...
{ "pile_set_name": "DM Mathematics" }
94. Let d = -1 - u. Which is the closest to 0.1? (a) s (b) d (c) -1 c Suppose 2*x = -2*z + 6, 3*x = -2*x + 5. Suppose 0*v - 2*j = v - 2, j = -z*v - 2. Which is the closest to -1/7? (a) 4 (b) v (c) -0.1 c Let y be (64/1120)/(3/15). Which is the nearest to 0? (a) y (b) -4 (c) 5 (d) -1/6 d Let t = -2.65 + -0.35....
{ "pile_set_name": "DM Mathematics" }
+ 6. Let f(w) be the first derivative of -2*w**3 + 5*w + 15. Let y(j) = 6*f(j) - 5*z(j). Let v(x) = -11*x**2. Determine y(v(n)). -121*n**4 Let w(c) = 2*c + 2. Let o(u) = 16*u + 12. Let s(t) = o(t) - 6*w(t). Let p(b) = 15*b. Calculate p(s(d)). 60*d Let x(h) = h. Let u(i) = 8600*i**2 - 1505*i. Let v(d) = 86*d**2 - 15*d. ...
{ "pile_set_name": "DM Mathematics" }
*o**3 + 8*m*o**2 - 288 wrt o? 6*m**3 - 9180*m**2 Find the first derivative of -250875*v + 1528179 wrt v. -250875 What is the second derivative of -6085*a**4 + a + 2673 wrt a? -73020*a**2 Find the third derivative of 2*i*j**5 + 102921*i*j**2 + 89535*j**5 + 2*j**2 + 2*j wrt j. 120*i*j**2 + 5372100*j**2 Find the third der...
{ "pile_set_name": "DM Mathematics" }
ivative of 0*u**5 + 5/6*u**4 + 0*u**6 - 5*u**2 + 0*u**3 + 1/15*u**7 + 0 + 0*u. Find the second derivative of v(b) wrt b. 168*b**2 Suppose d = 7*d. Let c(m) be the second derivative of -m**2 + d*m**3 - 1/6*m**4 + 5*m + 0. Find the first derivative of c(g) wrt g. -4*g Let k(t) = -t**4 + t**3 - t**2 - 1. Let o(d) = -3*d**...
{ "pile_set_name": "DM Mathematics" }
d(u(c))? 169*c**2 Let r(c) = 486*c**2 - 16. Let i(l) = -3*l. Determine i(r(h)). -1458*h**2 + 48 Let a(r) be the second derivative of -17*r**5/120 - r**3 + 3*r. Let w(n) be the second derivative of a(n). Let f(t) = -t**2. What is w(f(o))? 17*o**2 Let t(a) = -13*a**2. Let k(r) = -35437*r. Determine t(k(b)). -16325152597...
{ "pile_set_name": "DM Mathematics" }
ltiple of 23? True Does 71 divide 14211715? True Does 26 divide 470295? False Is 21049 a multiple of 7? True Is 27 a factor of 289278? True Is 199 a factor of 432626? True Is 105 a factor of 434515? False Does 27 divide 169614? True Is 128 a factor of 499738? False Does 228 divide 1392298? False Is 814960 a multiple of...
{ "pile_set_name": "DM Mathematics" }
olve -4*i - l - 8 = 0, 3*i + 0 = 5*l + 17 for i. -1 Solve -5*y - 4*t = 35, 9 - 24 = 3*t for y. -3 Solve -o = 4*z - 20, 4*o + 3*z + 0*z = 28 for o. 4 Solve -p - 15 = -5*b, 2*p - 5*b + 15 = 6*p for p. 0 Solve -2*w + 3*b = 17, 5*b - 5 = 10 for w. -4 Solve 0 = q + 2*c - 67 + 60, 2*q + 3*c - 12 = 0 for q. 3 Solve 5*h = 25, ...
{ "pile_set_name": "DM Mathematics" }
4*p + 28, j - 11*p = -i*p - 13 for j. -4 Suppose 892 = 4*n + t - 5*t, 3*n = -t + 677. Let m = -220 + n. Solve o = -4*o - m*h + 15, -o - 4*h + 3 = 0 for o. 3 Let b be 1/(-5) - 224/(-20). Let m(v) = -v**3 + 12*v**2 - 12*v + 12. Let a be m(b). Solve 0 = -4*r - 4*j + 8, 5*r - a = -3*j + 3 for r. -1 Let r = 438 - 259. Suppo...
{ "pile_set_name": "DM Mathematics" }
at is the units digit of z(q)? 3 What is the hundreds digit of 1329/9*(-18)/(-6)? 4 Suppose 0 = -2*b, 3*b = 2*j + 104 - 706. Suppose -2*u - 4*y = 264, -2*u + 34 - j = 3*y. What is the tens digit of (1 - -1) + u/(-6)? 2 Let t(v) = -28*v - 6. Let o be t(2). Let c = -22 - o. What is the units digit of c? 0 Suppose -309 = ...
{ "pile_set_name": "DM Mathematics" }
me factors of 2887? 2887 List the prime factors of 27957. 3, 9319 What are the prime factors of 39044? 2, 43, 227 List the prime factors of 1449. 3, 7, 23 List the prime factors of 12820. 2, 5, 641 List the prime factors of 44882. 2, 22441 What are the prime factors of 337? 337 List the prime factors of 29438. 2, 41, 3...
{ "pile_set_name": "DM Mathematics" }
uence yzw when three letters picked without replacement from {y: 2, z: 1, w: 3, h: 6, l: 7}. 1/969 What is prob of sequence dlu when three letters picked without replacement from {l: 1, u: 2, d: 1}? 1/12 What is prob of sequence qq when two letters picked without replacement from qllqlwfllllleqfq? 1/20 Two letters pick...
{ "pile_set_name": "DM Mathematics" }
e remainder when 241206 is divided by 55? 31 Calculate the remainder when 71741 is divided by 2657. 2 What is the remainder when 111158 is divided by 164? 130 Calculate the remainder when 51615 is divided by 71. 69 Calculate the remainder when 3457 is divided by 434. 419 What is the remainder when 32678 is divided by 5...
{ "pile_set_name": "DM Mathematics" }
b - 11 = -4*d for b. -5 Solve -3*f = 5*q - 34, q = -q + 4*f - 2 for q. 5 Solve z + 5*v = 8*v + 8, 4*z + 4*v + 32 = 0 for z. -4 Solve -c = -4*d - 3, -9*d - 5 = -6*d + 2*c for d. -1 Solve 0 = 35*l - 39*l + 4*n + 56, 0 = -4*l - 3*n + 21 for l. 9 Solve 5*t + 145 = 4*p + 167, -2*t + 4 = -4*p for t. 6 Solve 4*b - k + 9 = 0, ...
{ "pile_set_name": "DM Mathematics" }
uppose v*n + 2*n = 16. Suppose -n*k + 6 = -2*k. Calculate the greatest common divisor of 3 and k. 3 Let f be 6 - (-6)/(-24)*0. Calculate the highest common divisor of f and 14. 2 Suppose 5*v - 4*v - 186 = 0. Suppose -3*h - 3*i + v = 0, 2*i - i - 188 = -3*h. What is the greatest common divisor of 9 and h? 9 Let t(y) = 2...
{ "pile_set_name": "DM Mathematics" }
j - 3. Let c(o) = -3*h(o) - 2*t(o). Suppose -3*y - 9 = -0*y. Give c(y). -8 Let d(r) = 1 - 2*r + r - 4 + 11. What is d(6)? 2 Suppose -5 = 2*f + 5*l + 24, 0 = 2*l + 6. Let o(h) = -h**2 - 6*h - 5. Calculate o(f). -12 Let w(m) = -6. Let i(j) = j - 5. Suppose 2*x - 2 = -6. Let c(k) = x*i(k) + 3*w(k). Suppose -4*n - 32 = -2*...
{ "pile_set_name": "DM Mathematics" }
er. 0.3, l, -5 Let v(b) = -4*b - 6. Let q be v(-5). Sort -4, q, 1 in increasing order. -4, 1, q Let m = 10 + -12. Sort m, 0, -0.07 in decreasing order. 0, -0.07, m Let x = -2.967 + -0.033. Sort x, -2, -4 in increasing order. -4, x, -2 Let g = 0.9 - 0.83. Let w = -0.23 - g. Sort 5, -2/5, w in descending order. 5, w, -2/...
{ "pile_set_name": "DM Mathematics" }
209/18 + -11/9. Calculate the common denominator of 2/(-7) + (-996)/(-105) and k. 30 Let c = -3044023/6 + 509278. Let j = 1928 - c. Calculate the common denominator of j and 109/6. 6 Let x(b) = b**3 - 9*b**2 + 12*b. Let m be x(8). Suppose j - m = 4*n, n + 15 + 26 = 3*j. Let q = j - 2. What is the smallest common multip...
{ "pile_set_name": "DM Mathematics" }
+ 5. Let j(f) = -4597*f**3 + 10*f**2 + 118*f - 8. Let a(d) = 5*j(d) + 8*t(d). What is the third derivative of a(b) wrt b? 9258 Let y = -76 - -80. What is the second derivative of 7*f + 0*f**y - 8*f**5 + 9*f + 2*f**4 + 12*f wrt f? -160*f**3 + 24*f**2 Let t(c) be the first derivative of 11*c**6/360 + 4*c**4/3 - 2*c**3 -...
{ "pile_set_name": "DM Mathematics" }
137 - 62)? 65 Evaluate -10 + (-1 - -4) + (10 - 26 - 13) + 175. 139 Calculate (8 - 13 - (6 - (-1 - -21))) + 3. 12 (17 + 1 - 2) + (-356 - -347) - (1 - -19) -13 Calculate -49 + -4 - (2 + -7 + (1 - -10) - 12). -47 Calculate 21 + 12 + -39 - -49. 43 Calculate (37 - -12) + (10 - ((-3 + 6 - -3) + 0)). 53 Calculate 193 + -187 -...
{ "pile_set_name": "DM Mathematics" }
q - 2*q**2)*(6 + 8*q**2 - 5*q**2 - 4). -6*q**4 - 4*q**2 Expand (8 - 7 - 2 - 10*f**2)*(-3 + 3 + 2)*(-2 - 1 + 5) + f**2 + 3*f**2 - f**2. -37*f**2 - 4 Expand (4 - 4 - 1)*(14 - 11*c - 14). 11*c Expand (h**4 - 28 + 36 + 24)*(-2*h + 0 + 0). -2*h**5 - 64*h Expand -2*j**4 - j**4 - 3*j**4 + (-j**3 + j**3 - j**3)*(3*j + 0*j - 2*...
{ "pile_set_name": "DM Mathematics" }
**2 + 2*l + 2. Let g(p) = -p**2 - p + 2. Let v be g(-3). Is 5 a factor of x(v)? True Suppose 17*j = 12*j. Does 2 divide j/1*1 - -2? True Let i = -42 - -24. Let v = i - -33. Is 9 a factor of v? False Suppose -2*p = -6*p. Suppose 2*w + 6 = p, 3 = -5*i - 4*w + 1. Let u(t) = 3*t**2 + 2*t - 2. Does 7 divide u(i)? True Suppo...
{ "pile_set_name": "DM Mathematics" }
) - 2*y**3 + 3*y**3 + 5*y**3 + (-2*y**2 + y - y)*(-1 + y + 1). 22*y**3 Expand (-2*x + 0 + 0)*(3*x - 3*x - x) - 1 - 46450*x**2 + 70521*x**2 - 6 + 7. 24073*x**2 Expand (6 - 190*i - 22 + 7 + 8 + 1)*(10 + 22 + 0). -6080*i Expand (55*h - 90*h + 38*h + 0 - 2*h + 0 + (-2 - 1 + 2)*(4*h - 3*h + h))*(2*h + 2*h - 3*h). -h**2 Expa...
{ "pile_set_name": "DM Mathematics" }
rs of r/(-3 - -5) - -75. 2, 37 Suppose 4*i - 11155 = 5*o, -4*i = 4*o - 1273 - 9891. What are the prime factors of i? 2, 3, 5, 31 Let c = -12 - 3. Suppose 4*d - 40 = 3*d. Let j = d + c. What are the prime factors of j? 5 Suppose 3*o = 4*o - 9. Suppose o = -2*z - 4*k + 29, 3*z + 2*k - 14 = 0. Suppose 5*l - 33 = -2*b, -2*...
{ "pile_set_name": "DM Mathematics" }
-6, 3, 4 Determine l so that 5*l**3 - 919120*l**2 + 919105*l + 1838230 = 0. -1, 2, 183823 What is v in 2*v**5 + 262*v**4 - 5370*v**3 - 782*v**2 + 16616*v - 10728 = 0? -149, -2, 1, 18 Find d such that -2*d**5/3 - 7894*d**4/3 - 31556*d**3/3 - 47324*d**2/3 - 31546*d/3 - 7886/3 = 0. -3943, -1 Find f, given that 3*f**3/7 -...
{ "pile_set_name": "DM Mathematics" }
))*3)/((sqrt(144)*-2)/sqrt(12)))**2. 63/4 Simplify (-2*2*sqrt(117))/sqrt(9). -4*sqrt(13) Simplify sqrt(612) + -4 - (sqrt(17) + -2)*1. -2 + 5*sqrt(17) Simplify (-1 + (-2*(sqrt(720)*-2 + sqrt(720)))**2 + sqrt(720))*4. 48*sqrt(5) + 11516 Simplify -5*(-2 + sqrt(19)) + (-1 + sqrt(2736) + sqrt(2736) - sqrt(19)). 9 + 18*sqrt(...
{ "pile_set_name": "DM Mathematics" }
t k be z(w). Is 4 < k? False Let c(y) = -2*y + 1. Let s be c(5). Let m = 157 + -158. Is m at most s? False Let f = 1303/15 - 87. Let a be 1*(-2 - 0) + 20. Let m be ((-12)/a)/(2/3). Are m and f equal? False Let s be 9/20 + (-4)/8. Is -1 < s? True Let r be 2 + (-3 - -7) + -3 + 11. Which is bigger: r or 15? 15 Let l(k) = ...
{ "pile_set_name": "DM Mathematics" }
osite number? False Let b(h) be the third derivative of 25*h**4/2 + h**3/6 - 4*h**2. Is b(1) composite? True Let h = 16 + -3. Is h prime? True Suppose 0 = -3*y + 1980 - 87. Is y a composite number? False Let q be (-156)/42 - (-2)/(-7). Is (-180)/(-8) - (-2)/q composite? True Let k = 12 - 7. Let p = k + -4. Is (2/(-4))/...
{ "pile_set_name": "DM Mathematics" }
11 - (16 + -11) - 4) + (1 - 4) -1 What is the value of -14 - (16 + -26) - (-1 + (5 - 3))? -5 Evaluate -5 - (-9 - 2 - (-11 - (12 + -25))). 8 What is the value of 1 + 2 + -28 + 34 + 6? 15 Calculate -2 + (10 - 18) + 16. 6 What is -50 + 50 - (1 - 2 - -11)? -10 Calculate 186 + -180 + -2 + -1. 3 What is the value of 3 - -1 -...
{ "pile_set_name": "DM Mathematics" }
-122*v + 77*v + 765 for v. 17 Solve 110*y + 367 - 17 = -200 for y. -5 Solve -75 - 65 = 15*w - 20 for w. -8 Solve -75*z = -55*z - 200 for z. 10 Solve 420 = -w + 421 for w. 1 Solve 7*r = 27839 - 27804 for r. 5 Solve 0 = 18*w - 60 + 114 for w. -3 Solve 5414*f - 5322*f + 1012 = 0 for f. -11 Solve 0 = 847*u - 1172*u - 4225...
{ "pile_set_name": "DM Mathematics" }
3*w = -40. Suppose -9*x + w*x = -314. Let y = 955/3 + x. Which is the smallest value? (a) -0.4 (b) y (c) -0.2 a Let h = 10 - 7. Let s be h*(1 - -2)/18. Let x be 3/(-10*3/6*42/(-70)). Which is the smallest value? (a) x (b) s (c) -2/21 c Let f(z) = 151*z + 1513. Let k be f(-10). What is the second biggest value in ...
{ "pile_set_name": "DM Mathematics" }
divided by 164863. 2/164863 What is 9493 divided by 1? 9493 Calculate -874 divided by 477. -874/477 Divide -918 by -22. 459/11 What is 22 divided by 260559? 22/260559 -15104 divided by -3776 4 What is 1342 divided by 5557? 1342/5557 What is -15 divided by 2929? -15/2929 What is -99 divided by 43? -99/43 -186549 divide...
{ "pile_set_name": "DM Mathematics" }
ve prob of picking 1 v, 1 b, and 1 m. 1/5 Calculate prob of picking 1 c and 3 m when four letters picked without replacement from mcmcccrccccmcccccrmm. 26/969 Calculate prob of picking 1 v and 3 q when four letters picked without replacement from mqqvq. 1/5 Four letters picked without replacement from {t: 6, g: 12, s: ...
{ "pile_set_name": "DM Mathematics" }
10*sqrt(2) + 201 Simplify (-1*sqrt(136)*-4)/sqrt(8). 4*sqrt(17) Simplify sqrt(272) + -3 + (sqrt(34)/sqrt(8))**2 - (-1*sqrt(425) + sqrt(425) - (sqrt(102) - (-1*sqrt(102) + sqrt(102)))/sqrt(6)). 5/4 + 5*sqrt(17) Simplify (sqrt(931) + -1*sqrt(931) - sqrt(931))**2 + -5. 926 Simplify (sqrt(75) - 2*(-1 + sqrt(75))) + sqrt(75...
{ "pile_set_name": "DM Mathematics" }
(s) + w(s). What is the third derivative of p(z) wrt z? 3360*z**3 What is the third derivative of 4*x**2 + 8*x**5 + 7*x + 0*x**2 - 7*x wrt x? 480*x**2 Let l(b) be the second derivative of b**8/1680 + b**7/2520 + b**4/12 + 2*b. Let x(m) be the third derivative of l(m). Find the third derivative of x(q) wrt q. 24 Let k(z...
{ "pile_set_name": "DM Mathematics" }
q + 43834*q**3 + 5*q**5 wrt q. -6180*q**3 Let y(r) be the second derivative of -23*r**5/10 + r**4/12 + 35*r**3/3 - 11*r - 3. What is the second derivative of y(n) wrt n? -276*n + 2 Let h be ((-3)/(-6))/(7/70). What is the third derivative of -22*d**h + 0*d**4 + 0*d**4 + 25*d**5 + 12*d**2 wrt d? 180*d**2 Find the first ...
{ "pile_set_name": "DM Mathematics" }
0/24. Put 5, -1/7, w, b in decreasing order. 5, b, -1/7, w Let b = -272 + 274. Sort 170/9, -0.1, b in descending order. 170/9, b, -0.1 Suppose 0*u = -v + 3*u - 15, 5*v + 93 = -3*u. Let y = 30634 + -30634.4. Put -2, v, y in ascending order. v, -2, y Suppose 5496*o = 5501*o - 100. Suppose -53 = 11*y - o. Suppose 0 = -5*c...
{ "pile_set_name": "DM Mathematics" }
suming j is positive. j**(-193/30) Simplify (o**(-1/45)/(o*o**(1/55)))/((o**(-29)*o)/(o*o*o**(-4/7)*o)) assuming o is positive. o**(20366/693) Simplify (k*k**(1/5))**(-2/27)*(k*k**(1/7)*k)**7 assuming k is positive. k**(671/45) Simplify ((k*k**9*k*k)/(((k**(-2/17)*k)/k)/k))/(k/k**(-2/13)*(k**(2/3)*k)/k*k) assuming k is...
{ "pile_set_name": "DM Mathematics" }
the second derivative of -2*v + 3*v - y*v**5 + 2*v wrt v? -60*v**3 Let l(z) = z**3 - z**2 - 1. Let c(y) be the first derivative of 2*y**4 - 4*y**3/3 - 6*y - 2. Let v(g) = c(g) - 4*l(g). Differentiate v(r) with respect to r. 12*r**2 Let a(u) be the third derivative of 7*u**6/40 + 14*u**3/3 + 18*u**2. Find the first deri...
{ "pile_set_name": "DM Mathematics" }
5 decimal places? 0.00043 Let a = 15.06 - 15.0599994744. What is a rounded to 7 dps? 0.0000005 Let a be (1 + -1)/((-10)/5) - -3. Let x be 183*a + -4*3/(-12). Round x to the nearest 100. 600 Let g = -217.744 - -218. What is g rounded to 2 decimal places? 0.26 Let c = -120 - -126.45. Let r = 0.25 - c. Let p = 6 + r. Roun...
{ "pile_set_name": "DM Mathematics" }
er when t is divided by 78? 76 What is the remainder when 227 is divided by ((2 + 54)/7)/((-6)/(-24))? 3 Let a = 86 - 56. Let q = -4016 - -4023. Calculate the remainder when a is divided by q. 2 Let z(k) = k**3 + 9*k**2 - 32*k - 88. What is the remainder when 238 is divided by z(-11)? 18 Let c be ((-9)/(-6) - 1)*-54. L...
{ "pile_set_name": "DM Mathematics" }
+ 0.7. Which is the nearest to d? (a) 1 (b) i (c) 0.5 b Let n = 2 - -3. Let a be (-2 + 24/15)*n. What is the closest to -2/3 in -4, 4, a? a Let n = -1221/2 + 594. Let j = 17 + n. What is the closest to -1 in 4, j, 5/3? j Let z = 68 + -64. What is the nearest to -3 in 5, 1/4, z? 1/4 Let z(i) = i. Let u = -11 - -8. Le...
{ "pile_set_name": "DM Mathematics" }
1 - -1. Suppose o - 2 = -v*o. Find the third derivative of 0*f**2 - 2*f**6 + f**2 + f**o wrt f. -240*f**3 What is the third derivative of 3 - 1 - 4*z**4 + 6*z**2 - 2 wrt z? -96*z Let p(o) = -o**3 + 6*o**2 - o + 8. Let r be p(6). What is the first derivative of -22 - 3*l**r + 5 + 10 wrt l? -6*l Let b(q) = q**2 + 23*q + ...
{ "pile_set_name": "DM Mathematics" }
ore 8:42 AM? 6:26 AM How many minutes are there between 4:25 PM and 6:59 PM? 154 What is 445 minutes after 9:36 PM? 5:01 AM How many minutes are there between 2:23 AM and 4:38 AM? 135 What is 485 minutes before 10:47 AM? 2:42 AM What is 135 minutes after 10:56 AM? 1:11 PM What is 470 minutes after 9:04 AM? 4:54 PM What...
{ "pile_set_name": "DM Mathematics" }
eatest common divisor of z and a. 8 Let d be ((-18)/(-4) - 2)/(14/28). Let k be ((-118)/(-295))/((-2)/(-5)). Calculate the highest common factor of k and d. 1 Let w = 37 - 17. Suppose 0 = -1269*a + 2458 + 48302. Calculate the highest common factor of w and a. 20 Let s = -11731 - -11739. Calculate the greatest common di...
{ "pile_set_name": "DM Mathematics" }
r? 9200 How many millilitres are there in 1/4 of a litre? 250 What is 7.648078 decades in centuries? 0.7648078 What is one twentieth of a litre in millilitres? 50 How many kilograms are there in 29/5 of a tonne? 5800 What is 6.62665 hours in minutes? 397.599 How many nanometers are there in 86.88017km? 86880170000000 H...
{ "pile_set_name": "DM Mathematics" }
= 3*c - 0*c - i, -8 = -4*i. Solve -c*q + 0 - 2 = 0 for q. -1 Let i = -1 + 8. Let a be (-6)/(-7)*i/(-1). Let n be (-3)/(-9) + (-4)/a. Solve -n + 7 = 2*t for t. 3 Suppose -10*n + 24 = -6*n. Let i be (2/3)/((-1)/(-3)). Suppose 115 = d + 4*d - i*h, 0 = 3*d - 3*h - 60. Solve d = -n*r + r for r. -5 Let x(y) = 3*y + y - 3*y....
{ "pile_set_name": "DM Mathematics" }
prime factors of c(t)? 2 Let q(h) = 9*h**2 - 15*h + 11. Let o(t) = 4*t**2 - 7*t + 5. Let b = 13 - 26. Let l(c) = b*o(c) + 6*q(c). What are the prime factors of l(-1)? 2 Let b(l) = -l + 4. Let i be b(2). Suppose i*j = -2*j + 48. What are the prime factors of j? 2, 3 Let a = 390 + -90. What are the prime factors of a? 2...
{ "pile_set_name": "DM Mathematics" }
0*y**3 + 2*y**4 - 1 + 74*y in the form w*y**4 + u + m*y + s*y**2 + d*y**3 and give u. -1 Express -229 + 6*b + 55 - 3*b**2 + 52 + 81 + 67 as g*b**2 + d*b + y and give d. 6 Rearrange -20509*a + 41022*a - 20514*a + a**2 + 2232*a**3 to u*a**2 + r*a + q + v*a**3 and give r. -1 Rearrange (-2*v + 7*v - 4*v)*(-3406 + 380 - 190...
{ "pile_set_name": "DM Mathematics" }
6938, 6977, 7028? 6*m**2 - 3*m + 6893 What is the r'th term of 261, 899, 1963, 3453, 5369? 213*r**2 - r + 49 What is the i'th term of 109929, 219817, 329703, 439587, 549469, 659349, 769227? -i**2 + 109891*i + 39 What is the f'th term of -1996, -4246, -6752, -9514? -128*f**2 - 1866*f - 2 What is the p'th term of -1284,...
{ "pile_set_name": "DM Mathematics" }
c. -2 Rearrange -474*p + 11*p**2 + 5*p**2 - 4*p**2 + 2 - 14*p**2 to the form z*p + s + n*p**2 and give z. -474 Express (-6*p + 4*p + 0*p)*(-3 + 2 + 0)*(-3*p - 16 - 10 + 34) as h*p**2 + q + z*p and give h. -6 Express -16*f + 16*f - 8*f**4 + (f**3 - 3*f**3 + 4*f**3)*(f + 0*f + 0*f) - 76*f**4 - 70*f**4 + 35*f**4 as l*f**3...
{ "pile_set_name": "DM Mathematics" }
when 363339 is divided by 13. 2 Calculate the remainder when 335810 is divided by 97. 93 What is the remainder when 55755 is divided by 31? 17 What is the remainder when 920105 is divided by 3119? 0 What is the remainder when 764 is divided by 291? 182 What is the remainder when 10881 is divided by 2? 1 What is the rem...
{ "pile_set_name": "DM Mathematics" }
-2*z + 511 = 101. Suppose w - v = -5*o + z, 0 = 2*w + 10. What is the units digit of o? 4 Let b(n) = -10*n**3 - 4*n**2 + 24*n + 47. What is the units digit of b(-6)? 9 Let h(v) = -13*v - 39. Let a be h(-3). Let i = 259 + a. What is the units digit of i? 9 Suppose 6*d = d + 5*b + 300, 172 = 3*d - b. Suppose 4*a = -0*q ...
{ "pile_set_name": "DM Mathematics" }
Solve 3*r = -x*r + 120 for r. 6 Suppose y - 5*r = 190, 42*y + 4*r = 40*y + 338. Solve 0 = -y*s + 181*s - 24 for s. 4 Let u(j) = j**3 - 6*j**2 - 28*j + 15. Let o be u(9). Let s be o/(((-90)/6)/(-5)). Solve -8 = -s*c - 2 for c. 3 Let d = -426 + 431. Suppose -10*n + 11*n - 33 = d*y, -4*n + 47 = -3*y. Solve -4 = 6*f + n f...
{ "pile_set_name": "DM Mathematics" }
nt from {y: 1, m: 17}. Give prob of sequence ym. 1/18 What is prob of sequence ccmc when four letters picked without replacement from {m: 4, c: 10}? 120/1001 Four letters picked without replacement from chchch. What is prob of sequence hchc? 1/10 Two letters picked without replacement from {q: 1, c: 1, r: 1, g: 2}. Giv...
{ "pile_set_name": "DM Mathematics" }
sqrt(99))**2 + -4). 285 Simplify 1*(sqrt(180) + -3). -3 + 6*sqrt(5) Simplify 4 + ((sqrt(1100) - ((-2*sqrt(1100)*-6 - sqrt(1100)) + sqrt(1100) + sqrt(1100)))*-5)**2. 3960004 Simplify -2 + (sqrt(160)/sqrt(2) + -6*sqrt(20))**2. 318 Simplify sqrt(143)/(-1*sqrt(11)) + 1 + (sqrt(26)/sqrt(2))**2 + 5. -sqrt(13) + 19 Simplify s...
{ "pile_set_name": "DM Mathematics" }
k) = -13*k - 1. Let f(o) be the third derivative of o**5/60 - 273*o**2. Give f(n(m)). 169*m**2 + 26*m + 1 Let a(j) = 3*j**2. Let i(t) be the third derivative of t**5/60 + 5*t**3/6 + 59*t**2. Calculate i(a(c)). 9*c**4 + 5 Let w(h) = -5*h - 4. Let x(y) be the second derivative of y**3/3 + 95*y. Give x(w(p)). -10*p - 8 Le...
{ "pile_set_name": "DM Mathematics" }
(396)) + -1)**2 - (-2*sqrt(11) + -1 + 3). -46*sqrt(11) + 6335 Simplify (5 + sqrt(1573) + (sqrt(1573) - ((-1 + sqrt(1573))*3 + sqrt(1573))) + 0)**2. -352*sqrt(13) + 6356 Simplify (sqrt(567)*-2 + -2 - (4*(sqrt(567) - (-2*sqrt(567) + sqrt(567))) + sqrt(567)))**2*1. 396*sqrt(7) + 68611 Simplify ((5*((-3 + sqrt(162) + sqrt(...
{ "pile_set_name": "DM Mathematics" }
-2*w - 8 = -144. List the prime factors of w. 2, 17 Suppose -5*p + 3*q = -384, 1 = q - 1. List the prime factors of p. 2, 3, 13 Let d(j) = j**3 + 3*j**2. Let o be d(-3). Suppose o = -h + 2*h - 2*n - 11, -2*h - 14 = 5*n. Suppose -36 = -0*s - h*s. List the prime factors of s. 2, 3 Let w(c) = -c**2 - 9*c + 13. What are th...
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 302 is divided by 268? 34 Calculate the remainder when 296 is divided by 180. 116 Calculate the remainder when 261 is divided by 76. 33 Calculate the remainder when 766 is divided by 75. 16 Calculate the remainder when 37 is divided by 5. 2 Calculate the remainder when 146 is divided by 77. ...
{ "pile_set_name": "DM Mathematics" }
e 12/2*(-5)/((-5280)/(-10736)). -61 What is the value of -6*(-4 + (-98)/(-28))/((-1218)/28)? -2/29 Calculate ((-17958)/(-2091))/(-146)*(3 - 1). -2/17 4/(-3) - (52 + (-6160)/165) -16 What is the value of 24/14664*-12805 - 2/47? -21 What is the value of (-7008)/140 - (-2)/10 - ((-23068)/1022)/(-158)? -50 Evaluate 1444/28...
{ "pile_set_name": "DM Mathematics" }
Which is the closest to -1? (a) -0.5 (b) r (c) -4 (d) 3/2 a Suppose -2*g = 4*n - 10, -2*n + 5*g = -5 - 6. Let z = 1276.5 + -1277. Suppose 14 = 4*r + 50. What is the closest to -2/5 in r, z, n? z Let j be (-8 - -8)/((-6 + 5)*(2 + -1)). Which is the closest to 0? (a) -13.2 (b) j (c) -2/5 b Let y = 58/15 - 131/30. ...
{ "pile_set_name": "DM Mathematics" }
13))**(-1/67) assuming s is positive. s**(-2/871) Simplify (c**(-2/5))**(13/2)/((c**(1/7)*c)/c**5) assuming c is positive. c**(44/35) Simplify (n*n**9*n*n**(-7))**(19/4) assuming n is positive. n**19 Simplify (d**(-2/23)*d*d**2)**(-32) assuming d is positive. d**(-2144/23) Simplify (b*b**(-33))**(-11) assuming b is pos...
{ "pile_set_name": "DM Mathematics" }
*2/4. Which is the biggest value? (a) w (b) t (c) h c Let i be (-8)/(8/(-2)) + -131. Let r = i + 1159/9. Which is the third smallest value? (a) -1/5 (b) r (c) 0 c Suppose -3 = -4*h + 5*d, -2*h - 4*d + 12 = 2*h. Let n be ((-2)/32)/((-1)/h). Let u = -0.6 - 4.4. Which is the smallest value? (a) 0.2 (b) n (c) u c ...
{ "pile_set_name": "DM Mathematics" }
0.21221 - 0.15221. Let t = 12 - 8. Sort w, t, 2/9, 2. w, 2/9, 2, t Let r be (-143)/13*(-6)/33. Put r, 4, -16 in ascending order. -16, r, 4 Let w = -87 + 7. Put -4, -2, w, 4 in decreasing order. 4, -2, -4, w Let c = -1159 + 1159.1. Put 2/13, c, 0.2, -0.1 in increasing order. -0.1, c, 2/13, 0.2 Let j(m) = -6*m - 17. Let ...
{ "pile_set_name": "DM Mathematics" }
1, -2/7, -3, u Let r(g) = -g**2 + 5*g - 1. Let d be r(4). Suppose -5*p - d*k + k = -10, -2*p - 4*k = 12. Let o = -13 + 9. Sort o, p, -3. o, -3, p Let y = 451 + -454. Sort 11/16, 2, y in increasing order. y, 11/16, 2 Let h(l) = -l**3 - 11*l**2 - 12*l + 3. Let y be h(-10). Suppose 0 = -3*b - 59 + y. Put -1, 1, b in incr...
{ "pile_set_name": "DM Mathematics" }
+ 10*v - 10*v. Calculate i*k(u) - 3*h(u). -2*u**3 Let u(p) = p**2 - p - 2. Suppose 4*x = m - 4, -2*m = x - 6 + 25. Let z = 3 - 2. Let g(k) = k - z + 2*k**2 - 3*k - 5. Calculate m*u(f) + 3*g(f). -2*f**2 + 2*f - 2 Let j(t) = 20 + 8*t**2 - 14*t**3 + 19*t**2 + 11*t**2 - 27*t**2. Let a(y) = -5*y**3 + 4*y**2 + 7. Give 11*a(...
{ "pile_set_name": "DM Mathematics" }
g + 3*l - 11 = 0, -2*g + l - 3 = y for g. -5 Suppose 0 = -7*t + 2*t + 15. Let x be (35/(-15))/((-1)/12). Suppose 7*v + 2*k = 2*v + 58, -4*v + 3*k = -x. Solve t*y + 28 = 4*q, -4*q + 2*y + 14 = -v for q. 4 Suppose -19*h + 17*h = 14. Let w(n) = -n - 6. Let i be w(h). Solve 2*t + i = -j - 0*t, 2*t - 11 = -5*j for j. 3 Let ...
{ "pile_set_name": "DM Mathematics" }
30 Suppose 0 = 2*w + 2*p - 38, -3*w + 0*p + 55 = p. Calculate the remainder when 52 is divided by w. 16 Let v = -613 - -863. Calculate the remainder when v is divided by 20. 10 Let h(z) = z**2 - z - 2. Let f be h(-2). Suppose -f*d + 8 = -0*d. Let l(t) = 3*t + 2. Calculate the remainder when 21 is divided by l(d). 5 Su...
{ "pile_set_name": "DM Mathematics" }
**2 + d*u and give f. 2 Express -3*r**3 + 3*r**4 - 6 + 2 - 3 + 16*r**2 + 2 - 20*r**2 as x*r**4 + c*r + t + f*r**3 + s*r**2 and give c. 0 Express 4 + 19*h**3 + h**4 - 7 - 21*h**3 + 4*h**2 as w*h + f*h**3 + l*h**2 + c + q*h**4 and give q. 1 Rearrange 2 + 52*j**2 - 11*j**2 + 29*j**2 - 5*j**2 - 3 to the form h*j + a + o*j*...
{ "pile_set_name": "DM Mathematics" }
0000 Let n = -30817.7 + 32936.77. What is n rounded to the nearest ten? 2120 Let b = 0.0555 + -56.0555. Let f = 199 + -259.6. Let t = b - f. Round t to the nearest integer. 5 Let c = 327315.055 - 329174. Let s = -1852 - c. Let b = s - 7. What is b rounded to 3 dps? -0.055 Let u be (-18)/8*16/6. Let y be u/12 + (-11)/2....
{ "pile_set_name": "DM Mathematics" }
e 12/d*(-44)/6? True Is 19 a factor of -3 + 2 + -3 + 92? False Let f = 41 + -14. Let v = -15 + f. Is v a multiple of 6? True Let l = -19 + 51. Suppose 2*y = 5*q - 1 - 1, 28 = 5*y + 4*q. Suppose -4*p + l = -y. Is 9 a factor of p? True Suppose -25*a + 77 = -24*a. Does 12 divide a? False Let m = -1 - -4. Suppose -m*q = 16...
{ "pile_set_name": "DM Mathematics" }
7 Let d = 125271/59465 + 13/1699. Calculate the common denominator of d and 69/56. 280 Suppose 15*x + 1670 - 4775 = 0. What is the smallest common multiple of x and 15? 1035 Calculate the smallest common multiple of ((-63)/5)/(19 + 3474/(-180)) and 126. 126 Let w = 5479/354 - -21/59. Find the common denominator of (-70...
{ "pile_set_name": "DM Mathematics" }
*s - 2*s in the form c*s + f and give c. 2 Express 10*f**4 + 63*f**4 + f + 7*f - 64*f**4 - 1 + 3*f**3 as x*f**3 + d*f**2 + y + j*f + w*f**4 and give j. 8 Express -w**3 + w**2 - w**2 + (-2*w**2 + 2*w - 2*w)*(1 - 1 + 2*w) - 9*w**3 - w**3 + 2*w**3 + 48 - 44*w**3 - 48 as l*w**3 + r + v*w**2 + q*w and give l. -57 Express 0*...
{ "pile_set_name": "DM Mathematics" }
i(t) = -6*t + 7. Let u = 3 + -8. What are the prime factors of i(u)? 37 Let s(p) = 2*p**2 + 4*p. Let c = -1 - 3. List the prime factors of s(c). 2 Suppose 0 = -4*a + 2*a + 66. What are the prime factors of a? 3, 11 Let z(j) = -j**3 + 2*j**2 + 3*j - 4. Let w be z(3). Let r(k) = k**2 + 3*k + 3. What are the prime factor...
{ "pile_set_name": "DM Mathematics" }
-12)*2)/1. -3 What is ((-6)/(-27))/((-119)/51)? -2/21 Evaluate 8*(-3)/18*(-2)/(-4). -2/3 Evaluate (35/15)/(-7)*-6. 2 Evaluate (3/((-18)/(-1)))/(2/9). 3/4 What is the value of 6/18*6/9? 2/9 What is ((-4)/(-10))/(((-65)/(-75))/13)? 6 (153/30)/(-17)*4/6 -1/5 What is the value of 6/((-2)/16*112/(-21))? 9 What is the value ...
{ "pile_set_name": "DM Mathematics" }
e first derivative of -167167407*j**3 + 261839233? -501502221*j**2 What is the second derivative of 30665886*h**2 + 39837643*h wrt h? 61331772 What is the third derivative of 281*n**6 - 5356*n**3 + n**2 - 23645990 wrt n? 33720*n**3 - 32136 Find the third derivative of 14603329*n**6 + 401*n**2 - 48902 wrt n. 1752399480*...
{ "pile_set_name": "DM Mathematics" }
+ 2*x**3 + x**2)*((1 + 3 - 2)*(1 + 0 - 3) + 1 + 2 - 4 - 5013 - 71 + 1177) to f*x**3 + g + t*x**2 + i*x and give f. -7824 Rearrange (3*w - 7*w + 2*w)*(-1 + 1 + 2) + (29*w - 11*w - 11*w)*(1 - 5 + 2) + (2*w - 4*w + 0*w)*(0 + 13 + 9)*(1 + 4 - 6) to x + t*w and give t. 26 Rearrange g**2 + 85 + 3*g**2 - g**4 - 56 - 25 to th...
{ "pile_set_name": "DM Mathematics" }
q, 0 = -2*k + q + 65 for k. 32 Solve -2*o + 8*j + 0 - 52 = 0, -22 = 2*o - j - j for o. -6 Solve 0 = 7*g, 4*l + 2785895*g + 64 = 2785883*g for l. -16 Solve 0 = 3*t - 5*m - 19, 3824*t - 7653*t + 4*m + 8 = -3829*t for t. 3 Solve -4*x - 5*a = -7*a + 22, -a - 12 = 27*x + 14 - 8 for x. -1 Solve 13*m - 3*t - 37 = 3*m + 12*m, ...
{ "pile_set_name": "DM Mathematics" }
/((-3102)/5170)? 11/3 Evaluate (-10)/(-15)*4/32*(-51)/272*-2. 1/32 Calculate ((((-60)/50)/((-26)/65))/6)/(14/(-8)). -2/7 What is the value of 47175/25160*1*4/15? 1/2 Evaluate ((-3)/(-24)*-1*272/306)/(94/6). -1/141 (((-7)/378)/((-29)/435))/(2/18) 5/2 (416290/77311)/(3*2/39) 35 Calculate ((-123294)/(-82196))/(2/438*18/4)...
{ "pile_set_name": "DM Mathematics" }
h + 80. Suppose -h = -4*c + 2*i, -2*i + i = 3*c - 7. Suppose z + 2*z = c*f + 24, -3*z + f = -20. What is the units digit of z? 6 Let r(o) = -9*o - 1. What is the units digit of r(-7)? 2 Suppose 122 = -3*n - 28. Let p = 72 + n. Suppose 2*t - p = -2. What is the units digit of t? 0 Let q = 0 - -2. Let m = q + 8. What is ...
{ "pile_set_name": "DM Mathematics" }
p be 3/w*10/3. Suppose p*x = 89 + 221. Is 31 a factor of x? True Suppose 5*b = -2*z + 43934, 2*b - 13393 = 3*z - 79313. Is 21 a factor of z? False Let h = 126 - 116. Suppose h*b - 4230 + 1260 = 0. Is 11 a factor of b? True Suppose 40*u + 27*u - 6633 = 0. Suppose -n - 3*f = -3*n + 17, 0 = -2*n - 4*f - 4. Suppose -377 = ...
{ "pile_set_name": "DM Mathematics" }
*m**3 + 2*m + 2*m**3 + 1 - 1. 48*m**3 + 2*m Expand (-158*g**3 + 8*g - 4 + g + 160*g**3)*(-13*g - 7*g + 11*g). -18*g**4 - 81*g**2 + 36*g Expand (191 - 96 - 186)*(i + 2*i + 2*i)*(-13*i - i + 3*i) - i**2 + 3*i**2 - i**2. 5006*i**2 Expand (-3*z**3 - 48*z + 48*z)*(-63*z + 30*z - 2 + 34*z). -3*z**4 + 6*z**3 Expand (27*o**2 -...
{ "pile_set_name": "DM Mathematics" }
ut replacement from ffeee? 3/5 Calculate prob of picking 2 m, 1 z, and 1 o when four letters picked without replacement from zmomomogmmmzzzzmzgg. 63/646 Three letters picked without replacement from lkkklkkukgukuuk. What is prob of picking 1 g, 1 l, and 1 u? 8/455 Two letters picked without replacement from ppbppbphhbp...
{ "pile_set_name": "DM Mathematics" }
= -2*f**2 - f - 16. Determine w(0). -16 Let q(u) = -20*u**3 + u**2 + 2*u - 2. Determine q(1). -19 Let g(y) = 97*y + 8. Calculate g(-2). -186 Let b(h) = 5*h - 86. Calculate b(18). 4 Let g(r) = r + 10. Give g(-10). 0 Let x(m) = -m**2 - 3*m + 11. Calculate x(-7). -17 Let y(g) = -2*g**2 + 2*g + 49. What is y(6)? -11 Let k(...
{ "pile_set_name": "DM Mathematics" }
1). -1 Let w be 1*((-2)/(-7) + (-38)/(-14)). Let y(s) be the third derivative of -s**4/4 + 2*s**3/3 + 433*s**2. Give y(w). -14 Let y(n) = 1653*n**2 - 828*n**2 + 9 + n**3 - 3 - 33 - 830*n**2 - 3*n. Give y(6). -9 Let q(a) = -a**2 + 9*a + 4. Let x(y) = -73*y - 949. Let c be x(-13). Give q(c). 4 Let t(m) = m**3 - 5*m**2 + ...
{ "pile_set_name": "DM Mathematics" }
06235. 685 Calculate the greatest common factor of 20 and 5227070. 10 Calculate the greatest common factor of 2627408 and 140. 28 What is the greatest common divisor of 48 and 264336? 48 Calculate the greatest common factor of 5 and 76435. 5 What is the highest common divisor of 137897 and 5329? 73 What is the greatest...
{ "pile_set_name": "DM Mathematics" }
(m) = -m**2 + 39*m + 280. Let y be b(45). Let l(a) be the first derivative of a**3/3 - 4*a**2 + 11*a + 2. Calculate l(y). 31 Let k(p) be the first derivative of 0*p + 2 - 1/2*p**2. Let r = 251 + -244. Calculate k(r). -7 Let k(g) = 2*g + 1 - 2*g**2 + g**2 - 2 - g. Let t(q) = -q**3 - q**2 + 8*q - 7. Let j(i) = -3*k(i) + ...
{ "pile_set_name": "DM Mathematics" }
What is the least common multiple of a(k) and v? 20 Calculate the smallest common multiple of (24/16)/(3/18) and 21. 63 Let n = -321 + 451. Find the common denominator of 68/3 and (n/(-8))/5 + -2. 12 Find the common denominator of ((-119)/(-28) - -2)/((-2)/1) and -31/6. 24 Let x = 203/61 + -8923/610. Calculate the com...
{ "pile_set_name": "DM Mathematics" }