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p**3 - p**2 - 6*p + 2982 What is the a'th term of -20262, -20280, -20296, -20310? a**2 - 21*a - 20242 What is the f'th term of 21, 114, 251, 432, 657, 926, 1239? 22*f**2 + 27*f - 28 What is the x'th term of 6969, 13938, 20907, 27876? 6969*x What is the y'th term of -3533, -3487, -3357, -3101, -2677? 7*y**3 - 3*y - 3537...
{ "pile_set_name": "DM Mathematics" }
- 4*c + 11*c - c. Determine g(j(k)). -8*k Let p(f) = 6*f. Suppose 5*n + 0*n - 10 = 0. Let c be ((-4)/(-12))/((-2)/(-12)). Let h(i) = 3*i**2 + i**2 + n*i**2 - 4*i**c. Give p(h(j)). 12*j**2 Let k(m) = -m. Let q(z) be the third derivative of 13*z**6/360 - z**3 + 3*z**2. Let g(w) be the first derivative of q(w). Give k(g(...
{ "pile_set_name": "DM Mathematics" }
Find the first derivative of r*o + 0*o - 9*o + 5*o - 5 wrt o. -4 Let f(z) be the first derivative of 17*z**3/3 - 18*z - 2. What is the first derivative of f(x) wrt x? 34*x Suppose -5*g = -4*q, -3*q = -5*g - 7*q. Let d(j) be the first derivative of 1 + g*j - 1/2*j**2 + j**3. What is the second derivative of d(t) wrt t? ...
{ "pile_set_name": "DM Mathematics" }
is divided by p(a). 41 Let x(r) = -25*r**3 + 3*r**2 + 2*r. What is the remainder when 154 is divided by x(-1)? 24 Suppose -2 = -o - 5*c + 1, -3*o + 4*c = -9. Let y(p) = p**2 + 17. What is the remainder when y(0) is divided by (1 + 3/(-21))/(o/21)? 5 Let u be (45/(-18))/((-10)/8). Let s be (26/39)/(u/9). Suppose -4*o -...
{ "pile_set_name": "DM Mathematics" }
y**2 - 2*y + 2 Suppose 14 = -2*j + 3*c, -19 = 3*j + c - 5*c. Let r(x) = 5*x**3 + 3*x**2 + 6*x. Let g(b) = -b**3 - b**2 - b. Determine j*r(l) - 6*g(l). l**3 + 3*l**2 Let p(u) = u**3 - 4*u**2 + 2*u + 2. Let k be p(3). Let v(g) = 3*g**2 + 6*g - 1. Let j(i) = i**2 + i. What is k*v(a) + 5*j(a)? 2*a**2 - a + 1 Let t be 3/(-5...
{ "pile_set_name": "DM Mathematics" }
4. Let l = i + -704. Solve -f = 3*r - 6, l*r + 3*f = f + 4 for r. 2 Let b = -2 + 5. Suppose -6 = -b*d + 2*d - m, -d = 2*m - 8. Suppose -8*i - 5*t = -6*i + 27, i - 2*t = 18. Solve -2*s = -3*r, -13 = -3*s - d*r + i for s. 3 Suppose -t - 12 = 3*t. Let i be (-7)/2*(-9 + t). Let m = i - 27. Solve -3*n = -f - 4 - 7, 0 = -n +...
{ "pile_set_name": "DM Mathematics" }
is the closest to 1/3? (a) -5 (b) -1 (c) -16.04 b Which is the closest to -138? (a) 2 (b) -2.6 (c) 5/3 b What is the closest to -1 in -5, -3, 0, -4257/8? 0 What is the closest to 9/2 in 0.5, -2, 7/3, 0.2? 7/3 Which is the nearest to 18? (a) 0.4 (b) 68 (c) -1/9 a Which is the nearest to 0.08? (a) 22712 (b) -1...
{ "pile_set_name": "DM Mathematics" }
ns digit of 147? 4 What is the units digit of 117? 7 What is the tens digit of 5805? 0 What is the ten thousands digit of 68731? 6 What is the tens digit of 6394? 9 What is the thousands digit of 7356? 7 What is the units digit of 119716? 6 What is the units digit of 6844? 4 What is the tens digit of 3632? 3 What is th...
{ "pile_set_name": "DM Mathematics" }
+ h. Solve -v = -r*n + 2*n for n. -2 Let m be (-1*4)/((-5)/(-5) - 3). Solve m*j = -j - 3 for j. -1 Let w(b) = b**3 + 2*b**2 - 3*b + 6. Let h be (-9)/2 - (-3)/(-6). Let u be w(h). Let f be 2/(-5) + u/(-10). Solve 10 = -0*z - f*z for z. -2 Let c(a) = -a. Let z be c(0). Suppose -3*d - 2*d = z. Suppose -5*m + n + 3 = -d*m...
{ "pile_set_name": "DM Mathematics" }
+ -228. Calculate the highest common divisor of 45 and n. 9 Suppose -5*p - 2*q + 69 = 0, 13 = -3*q + 4. Suppose -6 = -j + p. Calculate the highest common divisor of 7 and j. 7 Suppose 5*a = 5*h - 50, 3*h + 0*h + 4*a = 9. Let c = h + -3. Suppose -k = -c - 4. What is the highest common factor of 1 and k? 1 Suppose 6*j = ...
{ "pile_set_name": "DM Mathematics" }
Let k = 1.3 - 0.3. Which is the nearest to k? (a) -5 (b) o (c) -3 b Let n = -137/1540 - -3/77. Let q = n - 3/20. Let t = 25/2 - 12. Which is the closest to 0.1? (a) q (b) 4 (c) t a Let n = -2 + 2. Let y = 34 + -33.6. Which is the nearest to y? (a) n (b) -0.5 (c) 1/9 c Let u(s) = -s**3 - s**2 - s + 247. Let t b...
{ "pile_set_name": "DM Mathematics" }
3 Evaluate (-26)/(-858)*(-2 + -4). -2/11 Evaluate 17/(238/4) + 13/28. 3/4 41/(-123) + 10/3 3 Evaluate (-9)/4 - -3 - (-210)/(-56). -3 Evaluate (-11)/(-110) + (-2)/20. 0 (186/30 + -6)*30 + -5 1 Calculate (12 - 7) + -12 + 4. -3 What is the value of (-8)/(-14)*((-2198)/(-140) + -15)? 2/5 24/4 - (-40)/(-10) 2 Evaluate ((-2...
{ "pile_set_name": "DM Mathematics" }
(-46)/345)) -10/3 What is 28/40 - 150/120*(-10)/(-25)? 1/5 Evaluate (-65)/36 + (-2034)/(-904)*(-1)/(-1). 4/9 Calculate (5/(-10))/(11 - (-3352)/(-304)). 19 Calculate (-2 + 1)/((84/132)/(-7)). 11 Evaluate (-231)/(-297) + 4/18 + (-6)/8. 1/4 What is (-3)/6*(-3 + 8/(64/40))? -1 What is the value of (134/1005)/((-13)/(-15))...
{ "pile_set_name": "DM Mathematics" }
5*d + 5*s = 355. Let t(j) = 20*j - 12. Let m be t(6). Let x = m + d. Is x prime? True Let g = 634 - 212. Is g a composite number? True Let v be -7 + 2 - 0 - 1. Let a = v + 25. Is a prime? True Suppose 0 = 2*b + b + 4*i - 25, -5*b = 2*i - 23. Is 341/3 - 2/b a composite number? False Suppose 0 = 5*j + 565 - 5480. Is j pr...
{ "pile_set_name": "DM Mathematics" }
3}. 1/816 Two letters picked without replacement from {u: 1, z: 1, h: 1, o: 4, w: 1}. What is prob of sequence oo? 3/14 What is prob of sequence qv when two letters picked without replacement from {v: 1, q: 1, u: 1}? 1/6 Three letters picked without replacement from hhkejheejj. Give prob of sequence jhk. 1/80 Calculat...
{ "pile_set_name": "DM Mathematics" }
+ 2*b - 25 = 0 for s. -5 Solve 4*t - 2*t + 7 = 3*s, 2*s = -4*t - 22 for s. -1 Solve 4*q - 2*a + 0*a = -2, 4*q + 3*a + 7 = 0 for q. -1 Solve -4*c = s - 12, -6*c + 2*c + 3*s = -28 for c. 4 Solve 2*a = 5*u + 9, -3*a = -u + 3*u + 15 for a. -3 Solve -5*g + 3 = -i, 5*i - 6 = 3*i - 2*g for i. 2 Solve 2*f - 7 - 2 = -5*g, -5*g ...
{ "pile_set_name": "DM Mathematics" }
1*f + 46*f - 93 wrt f. 61 Let q be -1 - 5/(-4) - (-104)/96. Let f(c) be the first derivative of -2 + q*c**3 + 0*c - 5/4*c**4 + 0*c**2. What is the third derivative of f(x) wrt x? -30 Let c = -1 + 6. Suppose 5*y - c*g = -0*g + 30, 0 = -g - 3. Differentiate -3*m**2 + y*m**2 - 6 - 6*m**2 + 2*m**2 wrt m. -8*m Let q(y) = -8...
{ "pile_set_name": "DM Mathematics" }
. Suppose 20 = 5*s - d, -20*s + 38 = -16*s - 3*d. Solve -5*t - 5*m = -35, 4*t + s*m - z = 11 for t. 3 Let u(k) = -9*k - 6*k**2 - 2 + 3 + 4*k**2. Let w be u(-4). Suppose 2*i + w = 11. Solve -i*q - 5*t = -15, 0*q = -2*q - t + 10 for q. 5 Suppose 140*p = 141*p - 5. Suppose u + 4*z = p*u + 16, -z = 4*u - 4. Solve -4*b - 5*...
{ "pile_set_name": "DM Mathematics" }
3*t + 5 = y, -t = -5*y + 9. Let x(u) = 4 - y*u + 0*u + 1 - 2. Determine x(7). -11 Let m(d) = d**3 - 6*d**2 + 2*d. Let p be 1353/287 - 3/21*-2. Give m(p). -15 Let r be 1/1 + (-21)/3. Let j = 46 - 41. Let t(u) = 6 + u**3 + u**2 + j + 4*u**2 - 6*u - 4. What is t(r)? 7 Let m be (8/10)/(2/5). Suppose 4*v + i = 16, 4*v - i ...
{ "pile_set_name": "DM Mathematics" }
9)/27)/((8/(-54))/4)? 8 Let u = 4059 - 2817. Suppose 16*d = 10*d + u. What is the hundreds digit of d? 2 Let i = -2 - -7. Suppose -i*n + 14 - 4 = 0. Suppose 0*l = l - n. What is the units digit of l? 2 Let a(p) = p**3 - 6*p**2 + p - 1. Let i be a(6). Suppose 0*o = i*o. Suppose -b + o*h + 2*h + 41 = 0, -4*h = -5*b + 205...
{ "pile_set_name": "DM Mathematics" }
*a**2. Let g(b) = -2*b**2. Let k(t) = 8*g(t) + 3*s(t). Let r(z) = 2*z - 4*z - 6*z. Give r(k(h)). -16*h**2 Let y(d) be the third derivative of d**5/6 - 14*d**2. Let z(b) = b. Determine z(y(x)). 10*x**2 Let x(r) = -4*r**2 + 5*r**2 + r**2. Let g(i) = 1. Let l(y) = -y + 1. Let s(v) = -2*g(v) + 2*l(v). Determine x(s(p)). 8*...
{ "pile_set_name": "DM Mathematics" }
divided by -3174 43983 -441582362 divided by 1171306 -377 Calculate -3206891 divided by 21. -3206891/21 Calculate -3748160 divided by -3392. 1105 Divide 80344773 by 18331. 4383 -239874370 divided by 6815 -35198 Divide -9881 by -206. 9881/206 1348423760 divided by -5 -269684752 What is -32246761 divided by 2? -32246761...
{ "pile_set_name": "DM Mathematics" }
he second biggest value? (a) -3 (b) h (c) -2 (d) r b Let n = 421 + -418. What is the second smallest value in n, 1/4, 3/2, 0? 1/4 Let n be (13 + -1 - 20) + 11. Let s = 13.4 - 13. Which is the third smallest value? (a) s (b) 3/7 (c) 2 (d) n c Let h = -0.0413 - -247.0413. Let y = h - 246.5. Which is the biggest v...
{ "pile_set_name": "DM Mathematics" }
third derivative of -422*b**5 + 2*b**4*z - 2*b**2*z + b**2 + 198*b*z wrt b. -25320*b**2 + 48*b*z What is the third derivative of 15*p**6 + 11*p**3 + 5*p**2 - 9 wrt p? 1800*p**3 + 66 What is the second derivative of 6413*d**2 - d + 7087 wrt d? 12826 What is the third derivative of 196*u**5 + 9*u**2? 11760*u**2 What is ...
{ "pile_set_name": "DM Mathematics" }
30) - 3/(-30)? 0 (-2*1)/1 - (-35)/28 -3/4 (-140)/(-25) + 22/55 6 What is (-3)/(27/3)*4/6? -2/9 Calculate -1 - (-2 + -6 + 3). 4 Evaluate ((-2)/(-3) - 1)/((-8)/48). 2 Calculate (2*(-3)/10*5)/1. -3 Evaluate 2 + (-2)/12 + (7 - 9). -1/6 1/4*(118 + -114) 1 Calculate (18/(-27))/((-6)/9 + 1). -2 What is the value of 4 - ((-296...
{ "pile_set_name": "DM Mathematics" }
5*t - 217 = -87, x - 8*t = 5*x - 5*t - 95 for x. 5 Solve -5*w + 0 - 1 + 5 = 4*m + 9, m + 395 = 98*w + 32*w for w. 3 Solve -35 = 5*z - s, 26*z - 34*z = -5*s + 56 for z. -7 Solve -4*h + 196 + 130 = 31*k - 531 + 198, 4*k - 74 = 5*h for h. 2 Solve -o - 3*o + 2038*t = 2034*t + 12, 0 = 5*o - 8*t + 15 for o. -3 Solve -13*z = ...
{ "pile_set_name": "DM Mathematics" }
c. -3 Solve -3*v = -2*k + 11, -8*k + 13*k + 1 = 6*v - 2*v + 18 - 0 for k. 1 Solve -545*g = 3*l - 526*g + 74, -9*l - 118 = 5*g for l. -12 Solve 2*x + 14273 = -5*n + 14309, -3*x - 90 = -9*n - 12 for n. 8 Solve g - 4*n - 11 = 0, -13*g - 4116*n + 193 = -4118*n for g. 15 Solve 0*l + 7*k - 62 = -l, 25*l + 542 = 32*l - 5*k f...
{ "pile_set_name": "DM Mathematics" }
actor of 34430 and 3369445. 1565 Calculate the greatest common divisor of 93 and 90145613. 31 Calculate the greatest common factor of 3869 and 1760249. 73 What is the greatest common factor of 129534 and 9? 3 What is the greatest common factor of 231 and 2774849? 77 Calculate the highest common factor of 936 and 178694...
{ "pile_set_name": "DM Mathematics" }
). Let m = -18 - -27. What is the units digit of (-2 - 24/j)*m? 6 Let c = 276 - 111. Suppose -6*s + s + c = 0. Suppose -9 = 3*i - s. What is the units digit of i? 8 Suppose b = 5*b. What is the units digit of 14 + b - (-6 - -8)? 2 Suppose 2*x - 6 = 0, 3*q - 2*q = -2*x + 149. Suppose 0 = -4*c + 33 + q. Suppose -3*r = -4...
{ "pile_set_name": "DM Mathematics" }
(a) 0 (b) 3 (c) 6 (d) f (e) 14 a Let j = -2103 + 2115. Which is the smallest value? (a) -5 (b) j (c) 86 a Let q = -11285 - -56429/5. Which is the third smallest value? (a) 0.1 (b) q (c) -11/12 (d) 0.4 d Let s be (2 - 1)/((-34)/24). Let g = -43/85 - s. Let x(r) = 167*r - 17872. Let n be x(107). Which is the ...
{ "pile_set_name": "DM Mathematics" }
y to one dp. -0.9 Suppose 5*y = 5*i + y - 11212, -i = -5*y - 2255. Let l = 1 - 1. Suppose -o - 748 = -2*p, l*o + 5*p - i = 3*o. What is o rounded to the nearest 100? -700 Let y = -39.959 + -0.041. Let p = 14 + y. Let l = p - -25.99979. Round l to 4 dps. -0.0002 Let x be (-1)/((-6)/464)*-375. Round x to the nearest ten ...
{ "pile_set_name": "DM Mathematics" }
/10404 Divide 26363 by 9. 26363/9 What is 1656330 divided by -53430? -31 Calculate 382300 divided by -3823. -100 47620 divided by -3 -47620/3 Divide 66950 by 13390. 5 What is 5508 divided by 54? 102 What is -26400 divided by -550? 48 Divide 57 by -9329. -3/491 What is 0 divided by -100553? 0 Calculate -1746850 divided ...
{ "pile_set_name": "DM Mathematics" }
v = m - -598. Let b = 745 + v. Is b a composite number? True Let y = -223 - -228. Let r(x) = -x**2 - 5*x + 5. Let f be r(-5). Suppose y*h + 5*p + 261 = 7*h, -h + 168 = f*p. Is h composite? True Suppose 2*w - 262*n - 55894 = -258*n, -n = 5*w - 139746. Is w composite? True Suppose 46*b = 3770635 + 1977818 + 1359605. Is b...
{ "pile_set_name": "DM Mathematics" }
+ 126*a + 3. Give 13*q(j) + 4*z(j). 2*j**3 + 126*j + 7 Let p(t) = -t**2 + t + 30. Let o(q) = 7*q**2 - q + 46. Determine -o(r) - 2*p(r). -5*r**2 - r - 106 Let g(m) = 2*m**2 - 3*m + 4. Let s(x) = -x + 1. Suppose -1179*p = -1171*p - 1 - 23. Let r = -4 - -3. Give p*s(v) + r*g(v). -2*v**2 - 1 Let t(h) = 7*h + 53. Let l(q) ...
{ "pile_set_name": "DM Mathematics" }
econd smallest value? (a) 1 (b) 1/5 (c) 3 (d) -0.1 (e) g d Let m = 0.108 - -0.022. Let v = -688.9 - -689. Which is the biggest value? (a) -2 (b) m (c) v (d) 1 d Let u = 2151.9 + -2152. What is the fourth smallest value in u, 3/2, -1/2, -1/18? 3/2 Let q = -16318 + 16318.5. Which is the biggest value? (a) q (b...
{ "pile_set_name": "DM Mathematics" }
Factor 9 - 15 + 5*z - 2*z**x + 2 + z**w. -(z - 4)*(z - 1) Let y(g) be the first derivative of -g**6/1080 + g**4/72 - 2*g**3/3 + 53*g + 48. Let x(i) be the third derivative of y(i). Factor x(r). -(r - 1)*(r + 1)/3 Let o(p) = -p**2 - 363*p + 16124. Let q be o(40). Find f such that 4/5*f + 6/5*f**2 - 2/5*f**3 - 6/5*f**q ...
{ "pile_set_name": "DM Mathematics" }
1 Let s be 1969/44 - 1/(-4). Suppose -s*m - 216 = -47*m. What is the hundreds digit of m? 1 Suppose h = 3*c - 12, 3*c + 4 - 22 = -h. Let g be 1/h - 30/9. What is the units digit of 0 - (-5 - g/1)? 2 Let w(z) = 457*z - 10. What is the tens digit of w(1)? 4 Let u(o) = -o + 11. Let k be u(9). Suppose -3*h + 8*h + 29 = k*...
{ "pile_set_name": "DM Mathematics" }
the form y + z*j**3 + d*j + c*j**2 + x*j**4 and give z. -296 Rearrange -158*c - 2*c**3 + 316*c - 126 - 2*c**4 + 5*c**2 - 3*c**2 - 157*c to d*c**2 + o*c + s + m*c**3 + z*c**4 and give m. -2 Rearrange 117 + 7*u - 34 - 25 - 37*u to r*u + n and give n. 58 Express -96*y + 16 + 82*y + 277*y - 13 + 3*y**2 - y**3 in the form ...
{ "pile_set_name": "DM Mathematics" }
of g(n)? 13 Let q be (1 + 3/15)/(36/600). Suppose -q = -20*k + 200. Suppose k*l - 514 = 9*l. What are the prime factors of l? 257 Suppose -13*y = -11*y - 38412. Suppose 6*z - y = -16*z. List the prime factors of z. 3, 97 Let z = 60 - 76. Let t = z - -15. What are the prime factors of t/(-4) - (-16822)/104? 2, 3 Let i(...
{ "pile_set_name": "DM Mathematics" }
is the next term in 522, 2262, 5496, 10494, 17526? 26862 What comes next: -2330, -6185, -11550, -18425, -26810, -36705, -48110? -61025 What comes next: 38770, 77700, 116610, 155494, 194346, 233160, 271930? 310650 What is next in 542023141, 542023139, 542023137? 542023135 What comes next: 42455, 41792, 41129, 40466, 39...
{ "pile_set_name": "DM Mathematics" }
ng order. x, 2/3, -16, -27 Let s = 34.25075 - -0.05925. Let r = s - -0.09. Let b = 34 - r. Sort 3/2, 0.2, b, -0.5 in decreasing order. 3/2, 0.2, b, -0.5 Let o be -10 + (-3074)/87 + (-5)/3. Put 3, o, 0, -9/2, 1/2 in increasing order. o, -9/2, 0, 1/2, 3 Suppose -31*v - 1105 = -57*v + 21*v. Sort 5, v, 0, 1. 0, 1, 5, v Let...
{ "pile_set_name": "DM Mathematics" }
*g + 30757608 - 30757608))*(2 - 2*g**3 - 2) as p + v*g**3 + w*g**4 + h*g + q*g**2 and give w. 2710 Express 1230*i**2 - 233*i**2 - 21*i - 21*i**2 + 21*i in the form d*i + n + p*i**2 and give p. 976 Express (133310 - 1624*u - 133310)*(-1 + 3 - 3) as k + p*u and give p. 1624 Express 2*z**4 + 21*z + 107280 - 3*z**2 - 3*z**...
{ "pile_set_name": "DM Mathematics" }
-5 + 4 - 1) in the form q*s + h and give q. 4 Express (-10 + 28 + 26)*(4*r - 10 + 10) in the form y*r + q and give y. 176 Rearrange -6*t**3 + 6 - 2*t**2 + 10 - 16 to s*t + j*t**3 + k*t**2 + l and give k. -2 Rearrange 20*f**2 + 47*f - 9*f**2 + 27*f - 9*f**2 to i*f**2 + c + n*f and give i. 2 Express -1953*x - 2 + 1949*x ...
{ "pile_set_name": "DM Mathematics" }
590, 64673? 103*q**2 - 50*q + 61265 What is the x'th term of 91046668, 91046673, 91046678, 91046683? 5*x + 91046663 What is the w'th term of -8232, -16462, -24698, -32940, -41188, -49442, -57702? -3*w**2 - 8221*w - 8 What is the z'th term of 153767121, 153767119, 153767115, 153767109, 153767101, 153767091? -z**2 + z + ...
{ "pile_set_name": "DM Mathematics" }
x. 29 Let j(c) = -7*c + 38 + 8*c + 5*c. Let k be j(7). Suppose -s + 10 = t - k, -450 = -5*s + t. What are the prime factors of s? 2, 3, 5 Let b be (-8)/2 + (-8)/(40/(-45)). Suppose 4*t + h - 2925 = 0, -4*t = b*h - 3108 + 179. What are the prime factors of t? 17, 43 Let r(s) = -3*s**3 + s**2 - 4*s - 8. Let a(q) = 4*q**3...
{ "pile_set_name": "DM Mathematics" }
5.4. Which is the closest to 0.1? (a) u (b) -3 (c) 1/6 c Let n = -1/24 - -3/8. Let d = 61 + -65. What is the nearest to -1 in -1, d, n? -1 Let r = -0.097 - 0.303. Let y = -0.8 - 0.2. Which is the closest to 0? (a) r (b) 5 (c) y a Suppose 0 = 6*j - j. Let h = 0.38 - 0.48. What is the closest to j in 0, h, 0.4? 0 ...
{ "pile_set_name": "DM Mathematics" }
297, -296, -295, -294, -293? -292 What is next in -9501, -9504, -9509, -9516, -9525, -9536? -9549 What is the next term in 209, 416, 623, 830, 1037? 1244 What is next in 10, 13, 30, 67, 130, 225, 358, 535? 762 What comes next: -860, -839, -794, -719, -608, -455, -254, 1? 316 What is the next term in -2, -2, -12, -38, -...
{ "pile_set_name": "DM Mathematics" }
is the o'th term of 13888, 13834, 13786, 13744, 13708, 13678, 13654? 3*o**2 - 63*o + 13948 What is the p'th term of -2101, -3892, -5059, -5290, -4273, -1696, 2753, 9386? 52*p**3 - 2155*p + 2 What is the v'th term of 12716669, 12716640, 12716611, 12716582, 12716553, 12716524? -29*v + 12716698 What is the d'th term of -...
{ "pile_set_name": "DM Mathematics" }
+ 2751 + 2490)*(1 + 1 + 0). -6532*l Expand -c**2 - c**2 + c**2 + (-2 + 1 + 2)*(2*c**2 - 2*c**2 - 6*c**2) + 3*c**2 - 5*c**2 + 0*c**2 + 6*c**2 - 2*c**2 + 2*c**2. -3*c**2 Expand (15*i**3 - 11 + 11)*(364*i + 6*i**2 - 401*i - 3*i**2). 45*i**5 - 555*i**4 Expand (2*a**2 + 1 - 1)*(44*a**2 - 44*a**2 + 5*a**3) + a**5 - a**3 + a...
{ "pile_set_name": "DM Mathematics" }
1/6, -0.4? u Let v = -283/2 - -141. What is the closest to 0.2 in -3, -5, v? v Let x = 25 - 10. Suppose -3*m = -8*m + x. Which is the nearest to -1? (a) m (b) -0.3 (c) 4 b Let t = -22 - -26. What is the nearest to t in -5/4, -0.2, -0.1? -0.1 Let v be 6 - 2 - 18/5. What is the nearest to v in -1/3, 3, 0.2? 0.2 Let c ...
{ "pile_set_name": "DM Mathematics" }
inator of 19/482346 and 43/2540. 4823460 What is the least common multiple of 72 and 15822? 63288 What is the smallest common multiple of 1421496 and 1579440? 14214960 What is the smallest common multiple of 320448 and 12? 320448 Find the common denominator of -9/1484 and -55/742. 1484 What is the common denominator of...
{ "pile_set_name": "DM Mathematics" }
0496 What is the common denominator of 7/115326 and 47/5031? 1499238 What is the common denominator of 44/75769 and 65/53484? 909228 Calculate the common denominator of 5/270446 and -1/7764. 1622676 Calculate the least common multiple of 378 and 2448. 51408 What is the common denominator of -79/494 and -29/43244? 56217...
{ "pile_set_name": "DM Mathematics" }
t is the f'th term of -11855, -32547, -53241, -73937, -94635, -115335? -f**2 - 20689*f + 8835 What is the q'th term of -5267, -12213, -19159, -26105, -33051? -6946*q + 1679 What is the k'th term of -3720351, -7440412, -11160475, -14880540? -k**2 - 3720058*k - 292 What is the p'th term of -43480, -173876, -391206, -6954...
{ "pile_set_name": "DM Mathematics" }
= p + 0.19. Round a to two dps. 0.02 Let y = -1 - 3. Let m be y/1*800/1. Round m to the nearest one thousand. -3000 Let h = 0.9 - -3.2. What is h rounded to 0 decimal places? 4 Let m = -2454 + -431. Let o = 2884.70015 + m. Let v = o + 0.3. What is v rounded to 4 dps? 0.0002 Let d(a) = -52*a**3 + 11*a**2 + 2*a - 1. Sup...
{ "pile_set_name": "DM Mathematics" }
: 5, d: 5}? 1/12 Calculate prob of sequence wzw when three letters picked without replacement from {z: 2, w: 11}. 5/39 Two letters picked without replacement from ilbgiyy. Give prob of sequence ib. 1/21 Two letters picked without replacement from nnrrnstqn. What is prob of sequence st? 1/72 Calculate prob of sequence n...
{ "pile_set_name": "DM Mathematics" }
der when -3*4/t*-14 is divided by 4? 2 Let o be 2/(-6) - (-595)/(-15). Let q = 41 + o. Suppose -2*h = 2*h - 2*s - 12, 2*s = -5*h + 15. Calculate the remainder when h is divided by q. 0 Let v be -8*(-34)/4*2/1. Suppose 2*p - v = -2*p. What is the remainder when 67 is divided by p? 33 Let r(z) = -z**2 + 18*z - 14. Calcul...
{ "pile_set_name": "DM Mathematics" }
ue Is 37842621 composite? True Is 4562741 composite? False Is 451 prime? False Is 9946153 prime? False Is 3807317 a prime number? True Is 20335727 a composite number? True Is 6323327 a prime number? True Is 91798219 prime? False Is 32994817 a prime number? True Is 22170259 a composite number? True Is 1802183 composite?...
{ "pile_set_name": "DM Mathematics" }
*3). 43*c**5 Expand (50 + 121 + 274)*(-1 - 2*v + 1). -890*v Expand (-6*q + 2*q - 9*q)*(-2*q**3 - 3*q**3 + q**3)*(0 + 1 - 2). -52*q**4 Expand (-1175 + 3308 - 1541)*(-t**2 + 5*t**2 - 2*t**2). 1184*t**2 Expand (y + 2*y**3 - y + (y**2 + 0*y + 0*y)*(-2*y + 2*y - 5*y))*(-3*y**2 - y**2 + 27*y**2 + 2). -69*y**5 - 6*y**3 Expand...
{ "pile_set_name": "DM Mathematics" }
6. 5478 Let i = 51 + 27. Let f = 2181 - 13045/6. Calculate the common denominator of f and (i/(-45))/(8/(-18)). 30 Suppose 0 = -4*b - g + 546, -5*b + 134 + 536 = -5*g. Let n be (458/10)/((-1)/3). Let y = b + n. Calculate the common denominator of y and -17/2. 10 Let q = -568175/1962038 + -1/115414. Let j = 26509/5304 +...
{ "pile_set_name": "DM Mathematics" }
re there in 33/5 of a decade? 792 What is 41274.29 tonnes in milligrams? 41274290000000 How many millimeters are there in thirty-one fifths of a meter? 6200 Convert 987.5611kg to tonnes. 0.9875611 What is 1/10 of a millimeter in micrometers? 100 How many milligrams are there in 2/125 of a kilogram? 16000 What is 1/5 of...
{ "pile_set_name": "DM Mathematics" }
**3 + 2*b**2 + 10*b - 11? -19956*b**2 - 18*b + 4 Find the third derivative of 2724652*o**2*x**3 + 85*o**2*x**2 - 691*x**2 wrt x. 16347912*o**2 Differentiate -43991*f*v**3 + 10*f - v**3 - v**2 - 5324*v wrt f. -43991*v**3 + 10 What is the third derivative of 86*o**3*s**2*w**2 + o**3*s*w**3 + 28*o**3 + 2*o**2*s**2*w**2 + ...
{ "pile_set_name": "DM Mathematics" }
creasing order. 9, w, m Suppose 0 = 412*t - 401*t + 3157. Let f = 287 + t. Sort f, 13, 5, -4 in decreasing order. 13, 5, f, -4 Suppose 0 = -5*v - 29 + 44. Suppose 3*u - 14 + 5 = v*r, -4*u + 5*r = -12. Let p be (((-32)/4)/4)/(-1). Sort -3, u, p, -2 in decreasing order. u, p, -2, -3 Suppose 0 = 24*l + l. Let c = 12 - 9. ...
{ "pile_set_name": "DM Mathematics" }
False Is 705355402 a multiple of 15? False Is 79873024 a multiple of 616? True Is 67 a factor of 3155310753? False Is 818 a factor of 229394855? False Is 305669 a multiple of 156? False Is 1337241536 a multiple of 64? True Is 94 a factor of 302965384? True Is 130912914 a multiple of 2563? True Is 99684643 a multiple of...
{ "pile_set_name": "DM Mathematics" }
Let o = s - a. Round o to 7 decimal places. -0.0000006 Let k = 33 + 245. Let s = k - 152. Let z = -125.939 + s. What is z rounded to 2 dps? 0.06 Let m = -6669.0111783 + 6192.011236. Let v = m + 477. What is v rounded to six dps? 0.000058 Let n(g) = -5333*g**2 + 6*g + 15. Let x = -50 - -35. Let l be n(x). Round l to the...
{ "pile_set_name": "DM Mathematics" }
(4/6). Let h = 8 - 2. Let y be i/3 - (-34)/h. Solve -y*q = 17 + 3 for q. -4 Suppose -4*a = a + 3*b - 2, 4*a - 2 = -2*b. Suppose -4*d + a = -11. Solve 0*q + d*q = 9 for q. 3 Let g be (8/10)/(6/15). Solve 3 = g*r + r for r. 1 Suppose 2*h = -3*h + 10. Solve -4 = 2*r + h*r for r. -1 Suppose 0 = 2*m - a + 1, 3*m + 10 = 4*a ...
{ "pile_set_name": "DM Mathematics" }
llilitres? 5500 How many months are there in 728.2094 centuries? 873851.28 What is 379.9875 centuries in millennia? 37.99875 What is 1/5 of a meter in centimeters? 20 Convert 4.974654ml to litres. 0.004974654 How many decades are there in 23978.88 centuries? 239788.8 How many micrometers are there in twenty-seven quart...
{ "pile_set_name": "DM Mathematics" }
List the prime factors of g. 2, 5 Suppose j = k - 65745, 2*j - 173460 = -2*k - 41962. List the prime factors of k. 11, 43, 139 Suppose 386025 = 51*h - 26*h. What are the prime factors of h? 3, 5147 Let h = 3313 + -5478. Let a = -1500 - h. What are the prime factors of a? 5, 7, 19 Let z(k) = -7*k + 51. Let v be z(16). ...
{ "pile_set_name": "DM Mathematics" }
2/3 + 2/3*w**4 + 4/3*w. 2*(w - 1)**3*(w + 1)/3 Suppose 0 = -4*b + 4*t - 4, 0 = 5*b - 4*b + 5*t - 5. Find d, given that 2/5*d**3 + b*d - 2/5*d**2 + 0 = 0. 0, 1 Let i(q) be the second derivative of 2/27*q**4 + 1/27*q**7 - 2/135*q**6 + 7/27*q**3 + 2*q + 0 - 7/45*q**5 - 2/9*q**2. Let i(k) = 0. Calculate k. -1, 2/7, 1 Let ...
{ "pile_set_name": "DM Mathematics" }
56730? 0 What is the ten thousands digit of 223141480? 4 What is the millions digit of 1010147526? 0 What is the ten thousands digit of 164021271? 2 What is the thousands digit of 73526017? 6 What is the ten millions digit of 400555550? 0 What is the ten millions digit of 435337166? 3 What is the millions digit of 4666...
{ "pile_set_name": "DM Mathematics" }
r - 2 Let n(y) = -y**3 - y**2 - 1. Let j = 1 + 0. Let v(g) = -3*g**3 - 2*g**2 - 2. Calculate j*v(x) - 2*n(x). -x**3 Let r(h) = 6*h**3 - 6*h**2 - 9*h - 9. Let k(l) = 3*l**3 - 3*l**2 - 5*l - 5. Give 9*k(c) - 5*r(c). -3*c**3 + 3*c**2 Suppose -71 = -5*o - 61. Let c(v) = 5*v - 4. Let d(a) = 4*a - 3. Let b(p) = -4*c(p) + 6*d...
{ "pile_set_name": "DM Mathematics" }
Calculate 5 + (1 + -5 + 4 - -3). 8 What is the value of -8 + (-11 - -15 - (2 - 14)) - -1? 9 -23 + 11 - -7 - -25 20 Evaluate (-13 - 9 - 15) + 20. -17 Calculate -44 - (-17 + -44 + 31). -14 Calculate -6 - (-12 + -3 + -43 + 40). 12 What is the value of -10 - (-8 + (-3 + 0 - 0))? 1 (1 - -1) + -21 + (-18 - -19) -18 What is ...
{ "pile_set_name": "DM Mathematics" }
= 2*k - 10. Suppose 3*r + 0*r = -5*i + 7, -2*r = 2*i - x. Factor -r - 14*v**2 - 4*v**2 + 7*v - 29*v. -2*(v + 1)*(9*v + 2) Factor 1/5*u**3 + 62/5 + 29/5*u - 32/5*u**2. (u - 31)*(u - 2)*(u + 1)/5 Let r(m) be the second derivative of 7*m**5/10 + 173*m**4/6 - 50*m**3/3 + 1299*m. Let r(t) = 0. Calculate t. -25, 0, 2/7 Let w...
{ "pile_set_name": "DM Mathematics" }
1 is divided by 149. 115 Calculate the remainder when 9656 is divided by 1608. 8 What is the remainder when 4602 is divided by 1531? 9 What is the remainder when 53524 is divided by 265? 259 Calculate the remainder when 2087 is divided by 1085. 1002 What is the remainder when 2006 is divided by 100? 6 Calculate the rem...
{ "pile_set_name": "DM Mathematics" }
- 2*v(j). j**3 - j**2 - 1 Let v(z) = 4*z - 2. Let p(s) = s**2 - 8*s - 13. Let i be p(10). Let x(j) = 6*j - 9*j - 63 - 6*j + 67. What is i*v(d) + 3*x(d)? d - 2 Let c = 3 - 6. Let v(l) = -2*l - 1. Let f(y) = -4*y - 3. Let h(t) = -t - 1. Let w(s) = -3*f(s) + 6*h(s). Calculate c*w(g) - 8*v(g). -2*g - 1 Suppose w = 1 - 5, ...
{ "pile_set_name": "DM Mathematics" }
Find the third derivative of 1187*d*n**4 - 462*d - 2*n**2 wrt n. 28488*d*n What is the third derivative of 34*b**6 - 3*b**4 - 164*b**2 + 1 wrt b? 4080*b**3 - 72*b What is the third derivative of 598*l**3 - 4*l**2 + 94*l wrt l? 3588 What is the third derivative of -478*s**6 - 815*s**2? -57360*s**3 What is the third der...
{ "pile_set_name": "DM Mathematics" }
rt(6)) + sqrt(6))/sqrt(3) - (sqrt(20)/sqrt(2))/sqrt(5))). 4*sqrt(19) Simplify (-3 + 1 + sqrt(539))*6 - sqrt(176)/(sqrt(24)/sqrt(6)*3). -12 + 124*sqrt(11)/3 Simplify (-3*sqrt(12)*2)/(2*(sqrt(64) + sqrt(4))) + -4*(0 + sqrt(3)*2)**2 + 0. -48 - 3*sqrt(3)/5 Simplify (2 + (-1 + sqrt(1377) + -2)**2 - (sqrt(136)/sqrt(128) + (s...
{ "pile_set_name": "DM Mathematics" }
posite number? False Suppose 0 = -10*s + 6*s + 4. Let j(n) = 7*n - 1. Is j(s) a composite number? True Let l be (3 - 6 - -7) + 43. Suppose -4*b + 7 = l. Let j(h) = h**3 + 11*h**2 + 3*h + 13. Is j(b) a prime number? True Suppose 3531 = 7*m - 34486. Is m a prime number? True Let j = 11150 - -13131. Is j a composite numbe...
{ "pile_set_name": "DM Mathematics" }
hat is the second derivative of 946*a*m**5 - 451*a*m**4 - 563*a - 6*m - 70 wrt m? 18920*a*m**3 - 5412*a*m**2 What is the third derivative of -3*t**5*z - 46117*t**4*z**3 - 178001*t**2*z + 2*t*z**3 wrt t? -180*t**2*z - 1106808*t*z**3 Find the first derivative of 4853*d*n + 8*d - n + 381 wrt n. 4853*d - 1 What is the deri...
{ "pile_set_name": "DM Mathematics" }
1 and -134/497 non-equal? True Is 60473 smaller than 60475? True Which is smaller: 5965 or 2? 2 Which is smaller: -1/212663 or -1? -1 Does -277570 = -277572? False Is 8607 != 8576? True Is -72216 bigger than -4? False Does 0.2 = 1777? False Which is smaller: 154 or -0.0708? -0.0708 Which is smaller: -632636 or -632634?...
{ "pile_set_name": "DM Mathematics" }
+ -5. Let j = 2 + g. Suppose j*u = 4*u. Solve 6*z - z - 15 = u for z. 3 Let y be 0*(1 - 3/2). Let t be ((-2)/(-3))/((-14)/(-42)). Suppose -2*b - 2*b = 3*l - 14, -5*l + 6 = -t*b. Solve y = s - 4 + b for s. 2 Let v(n) be the third derivative of 3*n**6/40 - n**3/6 - 3*n**2. Let b be v(1). Solve -3*y = -b*y - 25 for y. -5...
{ "pile_set_name": "DM Mathematics" }
rounded to the nearest one thousand? -15000 Let s = 21.6 + 122.4. Let h = 144.151481 - 0.020481. Let z = s - h. Round z to two dps. -0.13 Let c = -6825 - -6824.998966. What is c rounded to 3 dps? -0.001 Let l = -12882 + 13346.76. Round l to the nearest one hundred. 500 Let r = -29914.311195 - -2.901195. Let w = -29911....
{ "pile_set_name": "DM Mathematics" }
+ 57*a**2 - 205*a - 85. Let f be y(45). What is f rounded to the nearest 10000? 10000 Suppose -2*q + 113991 = 403457. Let z = -256633 - q. Round z to the nearest 10000. -110000 Let v be (-63)/(-126) + ((-626)/(-3))/(16/163476). What is v rounded to the nearest one hundred thousand? 2100000 Suppose 0 = -4*p + s - 41867...
{ "pile_set_name": "DM Mathematics" }
xpand (-4 - 1 + 6)*(f**3 - 2*f + 2*f)*((-14*f - 4*f + 2*f)*(5*f - 5*f + f) + 2 - f**2 - 2). -17*f**5 Expand -1125*n - 1225579 + 1225579 + (-3*n + 2*n - n)*(1 - 4 + 2). -1123*n Expand (3*k + 0*k + 4*k)*(-28*k**2 - 49*k**2 - 6*k**2). -581*k**3 Expand (2*q**2 - 2*q**2 - q**2)*(-5 + 2 - 1)*(-21*q + q - 11*q). -124*q**3 Exp...
{ "pile_set_name": "DM Mathematics" }
in 4, -183853, 0, 0.1? -183853 Which is the biggest value? (a) 2/7 (b) -3/7 (c) 0.2 (d) -255.1 (e) 38 e What is the third biggest value in -4, -3, 10, -2/17, -14, -0.51? -0.51 Which is the fourth biggest value? (a) -3 (b) 5 (c) 249 (d) 1/4 (e) -0.001 e Which is the biggest value? (a) -6250 (b) -3 (c) 5 (...
{ "pile_set_name": "DM Mathematics" }
, -3*a + 4*m - 29 = -89. What is the units digit of (a/(-6) - -3)*-24? 8 Let t(h) = 11*h - 1. Let s be 4 - 2 - (-21)/(-3). Let g be 2/6 - s/3. What is the tens digit of t(g)? 2 Let p(t) = t**3 + 6*t**2 - 4*t - 3. Let l be p(-5). Suppose 5*u - 2*u - l = 0. What is the units digit of u? 4 Let r(b) = -1 + 4*b - 10 - 6*b. ...
{ "pile_set_name": "DM Mathematics" }
ked without replacement from sunussuususssus. Give prob of sequence unss. 2/195 Calculate prob of sequence fdz when three letters picked without replacement from {r: 2, z: 1, i: 2, d: 5, f: 4}. 5/546 Three letters picked without replacement from {c: 6, j: 1, d: 1, r: 1, w: 4}. What is prob of sequence rwc? 2/143 Calcul...
{ "pile_set_name": "DM Mathematics" }
n 4.4, 5, -6, 0.4? 0.4 Which is the closest to -1? (a) 98.5 (b) 2 (c) 10/7 c Which is the closest to 2? (a) 6 (b) -3 (c) 0.013 (d) 0 (e) 0.2 e Which is the closest to 0.4? (a) -3/4 (b) -2/3 (c) -0.7 (d) 371 (e) -5 b Which is the nearest to 0.3? (a) 1/2 (b) 103/4 (c) -18 (d) -1/3 (e) -1/5 a Which is th...
{ "pile_set_name": "DM Mathematics" }
5 + 0*m**3 - 3*m**2 - 1/48*m**4 + 0*m + 0. Let k(r) = 0. Calculate r. 0, 1 Let v be (5 - 3) + (-3 - -1). Factor 2*i**3 - i**4 - i**5 - i**4 + v*i**5 - 3*i**3. -i**3*(i + 1)**2 Let u(l) be the second derivative of 1/20*l**4 - 3/10*l**3 + 3/5*l**2 + 0 - 2*l. Suppose u(g) = 0. Calculate g. 1, 2 Let a be 4*(-14 - -6)/(-112...
{ "pile_set_name": "DM Mathematics" }
l(-7). Solve -4*f + m = f, -5*i = 5*f - 40 for i. 5 Let j(y) = 3*y**2 - 106. Let z be j(6). Solve -z*a + 4*t = -6*a + 40, 0 = 3*t - 15 for a. 5 Suppose -58 = -t - 14. Let s = 87 - t. Let h = 48 - s. Solve h*i - 16 = 2*j, -4*i - 2*j = -7*i + 8 for i. 4 Let p = -52 - -94. Let t(w) = 3*w + 3. Let h be t(12). Let b = p - h...
{ "pile_set_name": "DM Mathematics" }
(e) 147 d What is the fourth smallest value in -3/5, 2/19, 11, -2/5, -17? 2/19 Which is the biggest value? (a) 3 (b) -488 (c) 5 (d) -14.6 c What is the biggest value in -2/27, -19, 4, -23? 4 Which is the fifth smallest value? (a) -2/45 (b) -1/6 (c) 11 (d) -13 (e) 0.2 c What is the third smallest value in 0.4, ...
{ "pile_set_name": "DM Mathematics" }
, 13 List the prime factors of 13032/40 + 1/5. 2, 163 What are the prime factors of 3/4*-186*528/(-72)? 3, 11, 31 Suppose 4*k - 5*q - 1744 = -9*q, 0 = 2*k + 5*q - 881. What are the prime factors of k? 433 Suppose 4*u = 3*p - 241, -4*p - 2*u - 383 = -9*p. Let n be 624/10 + (-30)/p. Suppose 5*v - 13 = n. List the prime f...
{ "pile_set_name": "DM Mathematics" }
**2 + 3*z**2 - 2*z**2 - 3*z**2 + 3*z**2 - 2*z**2 + (-10*z - 4*z + 3*z)*(-4*z + 2 - 2) + 4*z**2 - z**2 - 4*z**2). -3612*z**5 Expand ((2*l + 0*l - l)*(5 - 3 - 1 + (-1 - 4 + 3)*(0 - 2 + 8)) + 0 + 0 + l + (0 + 2 - 1)*(-2 - l + 2) - 3*l + 5*l - 4*l + 2*l - l + 0*l)*(-l**2 - l**2 - l**2). 36*l**3 Expand (5 - 4 - 4)*(-64 + 33...
{ "pile_set_name": "DM Mathematics" }
4 + -56. Let h = 5.02 + -0.02. Put u, 1, h in increasing order. u, 1, h Let n(m) = m**2 + 9*m + 10. Let f be (-30)/(-4)*4/(-5). Let s be n(f). Put -4, -1, s in descending order. -1, -4, s Let m = -359.9 - -346. Let n = m + 14. Let l = -0.2 - 0.3. Sort -0.4, l, n in ascending order. l, -0.4, n Let m = -5.04 - -0.04. Let...
{ "pile_set_name": "DM Mathematics" }
**6/18 + 2*c**5/15 - 2*c**3/9 + c**2/6 - 3. Determine n, given that p(n) = 0. -1, 0, 1 Let a = 111 - 261. Let n be 3 + a/27 + 3. Suppose 0 + n*q - 2/9*q**2 = 0. Calculate q. 0, 2 Let c(v) be the first derivative of -v**4/16 + 33. Factor c(a). -a**3/4 Let u be (-13)/(-20) + (-6)/12. Let b(c) be the third derivative of 1...
{ "pile_set_name": "DM Mathematics" }
e x(-6). Let a(l) = -351*l**v - 2*l + 349*l**2 + 4*l. What is a(g(r))? -18*r**4 + 6*r**2 Let a(u) = 76*u. Suppose n = -4*s + 6*n + 751, 4*n - 193 = -s. Let h(p) = -s*p**2 - 191*p**2 - 187*p**2 + 565*p**2. What is h(a(x))? -11552*x**2 Let y(z) = -9*z**2 + 7*z - 86. Let q(p) = -30*p**2 + 24*p - 301. Let s(w) = -7*q(w) + ...
{ "pile_set_name": "DM Mathematics" }
.0002 Round 9120630 to the nearest 100000. 9100000 What is -2111.2305 rounded to the nearest ten? -2110 What is -24261.28 rounded to the nearest ten thousand? -20000 Round 0.000250802 to five dps. 0.00025 What is 0.0007050086 rounded to 6 decimal places? 0.000705 Round -1506.252 to the nearest 10. -1510 What is -6851.2...
{ "pile_set_name": "DM Mathematics" }
vative of t**3 + 1686932*t**2 - 11783716? 3*t**2 + 3373864*t Find the second derivative of -21231*d**5*h - 368*d**5 - 12738*d*h - 149*h wrt d. -424620*d**3*h - 7360*d**3 What is the second derivative of -490626315*a**2 + 346079599*a wrt a? -981252630 Find the second derivative of -4*j**3 + 2270779*j**2 + 49742828*j + 1...
{ "pile_set_name": "DM Mathematics" }
+ 5*c - 34 = 0, 4*v - 1 - 1 = 2*c. Let f be 68594/((-6)/(-9)*v). Suppose -5*d + f + 6203 = 0. Round d to the nearest one thousand. 8000 Let j = -10.69 - -10.2. Round j to one dp. -0.5 Suppose -56845 - 193155 = -5*n. Round n to the nearest 100000. 100000 Let c(k) = 65334*k**2 + k + 3. Let q be c(-3). Suppose 5*t - 98000...
{ "pile_set_name": "DM Mathematics" }
)*(-3796 + 1151 - 704) + (0 + 3 - 4)*(-2*s**4 + 0*s**4 + 0*s**4) - 2*s + 2*s + s**4. -6692*s**4 Expand (1 - b**4 - 1)*((4 - 3 - 3)*(1 + 0 + 1) + 25 + 24 + 56). -101*b**4 Expand (-r**3 - 4*r**3 + 3*r**3)*(-180*r - 232 + 482 - 251). 360*r**4 + 2*r**3 Expand -129*l**2 - 20*l**2 - 1278*l**2 + 2*l**2 + l**2 - 4*l**2 + (l - ...
{ "pile_set_name": "DM Mathematics" }
/(-508)) + (-10)/(-50)? 50 Suppose -2*q = 2*z - 14 - 8, 0 = 5*z - 2*q - 20. Let b = z - -4. Calculate the remainder when b is divided by 6. 4 Let g(k) = k**3 - 4*k**2 + 3*k + 4. Let c be g(3). What is the remainder when 2 is divided by (c/6)/((-14)/(-21))? 0 Suppose -4*v = 3*u - 2*u + 5, -2*v = -u + 1. Calculate the re...
{ "pile_set_name": "DM Mathematics" }