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? True Is 294383 a composite number? False Is 342449 prime? True Is 8849 a prime number? True Is 4547 prime? True Is 4861 a composite number? False Is 388211 composite? False Is 404027 a composite number? True Is 42593 a composite number? True Is 1459 a composite number? False Is 7661 a prime number? False Is 2897 a co...
{ "pile_set_name": "DM Mathematics" }
, -8623, -8636? -13*t - 8558 What is the b'th term of -104, -411, -914, -1601, -2460, -3479, -4646, -5949? 2*b**3 - 110*b**2 + 9*b - 5 What is the l'th term of -6915, -13828, -20743, -27660, -34579, -41500? -l**2 - 6910*l - 4 What is the x'th term of 9330, 9324, 9314, 9300, 9282? -2*x**2 + 9332 What is the g'th term of...
{ "pile_set_name": "DM Mathematics" }
= 0.025 + -0.024394. Round v to four dps. 0.0006 Let o = 314.86398 - 314.8. What is o rounded to 2 dps? 0.06 Let f(w) = -206*w**2 - 1. Let u be f(1). Let d be 1/(-4) - u/(-36). Let l be d*160/36*180000. Round l to the nearest 1000000. -5000000 Suppose o = -0*o - 4*s + 6, 4*o - 3*s - 24 = 0. Suppose 0 = 3*m - 5*d - 20, ...
{ "pile_set_name": "DM Mathematics" }
ine f(8). -796 Let a(w) = -1052*w + 10662. Give a(8). 2246 Let i(d) = -16047*d + 32. Determine i(0). 32 Let n(x) = 2174*x + 11572. What is n(-6)? -1472 Let i(z) = z**2 + 330*z - 15629. Calculate i(42). -5 Let s(f) = -2375*f + 1695751. What is s(714)? 1 Let x(l) = -2*l**2 - 196*l - 3122. What is x(-20)? -2 Let q(z) = -2...
{ "pile_set_name": "DM Mathematics" }
6318 a multiple of 129? False Is 18 a factor of 8201225? False Is 1221 a factor of 8328441? True Is 496920 a multiple of 123? True Does 1135 divide 2427765? True Is 56 a factor of 209232? False Does 56 divide 43970? False Is 14 a factor of 15146513? False Is 506 a factor of 963667? False Is 105 a factor of 90457? False...
{ "pile_set_name": "DM Mathematics" }
factors of 429872701. 19, 131, 172709 What are the prime factors of 1913302967? 37, 51710891 List the prime factors of 11571066. 2, 3, 13, 53, 311 What are the prime factors of 112618618? 2, 7, 281, 28627 List the prime factors of 35184551. 35184551 What are the prime factors of 7307814? 2, 3, 277, 4397 List the prime...
{ "pile_set_name": "DM Mathematics" }
5699*g**2 + 2836*g**2 + 2863*g**2. -8*g**3 Collect the terms in 84*a**3 - 340*a**3 + 257*a**3. a**3 Collect the terms in -74*j**3 - 1 + 56640*j**2 - 56640*j**2. -74*j**3 - 1 Collect the terms in 594*o**2 + 545*o**2 - 2*o - 1141*o**2. -2*o**2 - 2*o Collect the terms in -h**2 + 24*h + 5*h**2 + 8*h**2 - 2*h**2 - 23*h. 10...
{ "pile_set_name": "DM Mathematics" }
2, 1 Sort -2, 4062, 2 in decreasing order. 4062, 2, -2 Sort 0, 5, 4, 1 in ascending order. 0, 1, 4, 5 Sort 296, -0.5, 0.2 in increasing order. -0.5, 0.2, 296 Sort -28, 2/19, 5, -0.5. -28, -0.5, 2/19, 5 Put 1, 3, 451, -3 in decreasing order. 451, 3, 1, -3 Put -4, -5, 20 in increasing order. -5, -4, 20 Sort -0.344, -0.2...
{ "pile_set_name": "DM Mathematics" }
e remainder when 93 is divided by 16/g*1 - -28? 21 Suppose -i - 2*i = -81. Suppose -30 + 0 = -2*p. Calculate the remainder when i is divided by p. 12 Let r be 61/6 - 5/30. Suppose 0*z - z = -r. What is the remainder when 39 is divided by z? 9 Let c be ((-16)/10)/(6/(-75)). Let g be c/(-16) - 1/(-4). Calculate the remai...
{ "pile_set_name": "DM Mathematics" }
05)). -107*sqrt(5)/12 Simplify (2*-6*(sqrt(60) - (sqrt(2940) - sqrt(2940)*-2)))/((sqrt(120) + -5*(sqrt(120)*2 - sqrt(120)))/((-2*sqrt(80))/sqrt(8))). 120*sqrt(5) Simplify (5*(2*6*(sqrt(308) - sqrt(308)*-2))/(6*sqrt(42)/(sqrt(12)/sqrt(2))))**2. 39600 Simplify (1 + -1*sqrt(75) + -1)*3 + -4*3*(-1 + sqrt(75) + 1) + 4. -75*...
{ "pile_set_name": "DM Mathematics" }
ue Let v be -3 + 12*((-93)/(-6))/(-1). Let h = v + 110. Which is smaller: h or -80? -80 Let o(j) = -2*j - 20. Let x be o(0). Let a be (-5)/x + (-25)/4. Suppose 3*c = 2*c - 6. Is c at most a? True Suppose -2*q - 3*q = -25. Let t = -7619 + 7624. Is q greater than t? False Let g be (-1 + 0 + 1)/1. Suppose -4*f = -2*a - 31...
{ "pile_set_name": "DM Mathematics" }
41, -443 = -4*a - k. Let f = a + -109. Solve 0 = -0*j - j - 5*d + 17, -2 = f*j + d for j. -3 Let d = 57 - 53. Suppose -d*k = -9*k + 20. Solve -5*x - 11 = -2*c, -7*x - k*c + 8 = -3*x for x. -1 Let b = 35 - 14. Suppose -4*i + b = 5. Solve -i*s + x - 3 = 6, 0 = -2*s - x - 9 for s. -3 Let z(x) = -10*x + 72. Let a be 150/22...
{ "pile_set_name": "DM Mathematics" }
t z(v) = v**4 + v**3 - v**2 - v + 2. Let r(l) = b*t(l) - 3*z(l). Factor r(w). -w*(w - 1)**2*(w + 1) Let n be (-16)/12 - (-450)/336. Let k(s) be the third derivative of 0*s**3 + 0*s + 0 + 2/105*s**7 + 0*s**4 - 2*s**2 - 1/60*s**6 - n*s**8 + 0*s**5. Factor k(v). -2*v**3*(v - 1)**2 Let c(q) be the first derivative of 2*q**...
{ "pile_set_name": "DM Mathematics" }
b*p**2 + 1/9*p**3 + 0 + 1/6*p**4 + 1/45*p**6 - 2*p + 1/10*p**5. Find z, given that f(z) = 0. -1, 0 Let q = -18 - -21. Solve -q*b**3 - b**4 + b**3 - 4*b**3 - b**2 + 4*b**3 = 0 for b. -1, 0 Suppose -8/5*b**2 + 8/5 + 4/5*b - 4/5*b**3 = 0. What is b? -2, -1, 1 Let s(i) = i - 6 + 1 - 3*i**2 + 3*i - 1. Let z(n) = -12*n - 8*n...
{ "pile_set_name": "DM Mathematics" }
ive of 13*v**4 + 1639592*v**2 - 34556232*v? 156*v**2 + 3279184 What is the derivative of -402011222*j**2 + 175696126? -804022444*j Find the first derivative of 16992*p**3 - 166*p**2*u**3 - 74717444*u**3 wrt p. 50976*p**2 - 332*p*u**3 What is the third derivative of 4925590*z**3 - 13*z**2 + 1244*z - 19? 29553540 Find th...
{ "pile_set_name": "DM Mathematics" }
129 is divided by d. 9 Let r(z) be the first derivative of z**4/4 - 7*z**3/3 + 4*z**2 - 3*z - 1. Suppose 0 = -5*g + 17 + 13. Calculate the remainder when r(g) is divided by 3. 0 Let x be 366/7 + (-8)/28. Let a = x - 30. Calculate the remainder when 64 is divided by a. 20 Suppose -4*w - a + 40 = 0, 2*a - 50 = -2*w - 3*w...
{ "pile_set_name": "DM Mathematics" }
et d = j + -41. Sort -0.2, 3/7, 0.1, d. d, -0.2, 0.1, 3/7 Let z = 0.1 - -0.3. Let h = 0.076 - -3.224. Let f = h - 7.3. Put -1, z, f in decreasing order. z, -1, f Let i = 7270 + -7270. Sort -2/3, i, 0.1, 1/25, 3 in decreasing order. 3, 0.1, 1/25, i, -2/3 Let v be (-2 + 10/6)/((-48)/(-108)). Sort -5/4, v, -481. -481, -5/...
{ "pile_set_name": "DM Mathematics" }
m**4 + o*m and give i. 0 Express 3*o**4 + 6 - 5 - o**2 - 1 - 2*o**4 - 12 + 2*o in the form d + m*o**3 + f*o**2 + r*o**4 + g*o and give g. 2 Express (1 - 1 + 3)*(f**2 + 0*f**2 - 3*f**2)*(2 + 0 + 0)*(-2 + 4 + 0) as o*f**2 + z + p*f and give o. -24 Express (63139 - 63139 + 2729*q)*(0 + 5 - 4) as w + a*q and give a. 2729 E...
{ "pile_set_name": "DM Mathematics" }
*f*k*n*y + 5*f*k*n + f*n*y + 4*k*y + 7*k - 4*y wrt y. 13*f*k*n + f*n + 4*k - 4 Differentiate -767*d**2 + 2*d - 823. -1534*d + 2 Find the third derivative of 21*q*u**3*z**3 - 3*q*u**3*z**2 + 2*q*u**2*z**2 - q*u**2 + 13*q*z**3 wrt u. 126*q*z**3 - 18*q*z**2 Find the third derivative of -f**3*j**6 + f**3 + 116*f*j**2 + 71*...
{ "pile_set_name": "DM Mathematics" }
tive of -3*h**4 + 335*h**2 + 57*h - 203492 wrt h. -12*h**3 + 670*h + 57 Find the second derivative of -5*q**2*y**2 - 280*q**2*y + 2*q**2 + 2840*q*y**2 + 8*q*y + y**2 - y - 3 wrt y. -10*q**2 + 5680*q + 2 Differentiate -90651*d**2 + 143560. -181302*d Find the first derivative of 172195*q + 141794 wrt q. 172195 Find the s...
{ "pile_set_name": "DM Mathematics" }
0)*1 + sqrt(200))**2. 1058 Simplify ((1*sqrt(208))/sqrt(4)*-1)**2. 52 Simplify 1 + (sqrt(153) + 1 - sqrt(153)) + sqrt(153) + -3. -1 + 3*sqrt(17) Simplify ((4 + sqrt(3)*-2)*-2)**2 + -4. -64*sqrt(3) + 108 Simplify 4*sqrt(2800)/sqrt(4). 40*sqrt(7) Simplify 2*(0 + (sqrt(19) - (1 + sqrt(19))))**2. 2 Simplify -2 + 1 + sqrt(1...
{ "pile_set_name": "DM Mathematics" }
and 112? 7 Suppose 14*h + 561 = 981. Calculate the greatest common factor of h and 96. 6 Suppose -23 = 3*l + 4. Let n(b) = -6*b - 39. Let p be n(l). What is the greatest common divisor of 15 and p? 15 Let n = -844 + 1775. Calculate the greatest common factor of n and 98. 49 Let r = 223 - 209. What is the greatest comm...
{ "pile_set_name": "DM Mathematics" }
. Put -1/3, r, -0.1 in descending order. -0.1, -1/3, r Let w(m) be the second derivative of m**3/6 + 19*m**2 + 8*m. Let i be w(-13). Let q = -28 + i. Sort q, -5, 7. -5, q, 7 Let b(i) = -i**3 + 8*i**2 + 3*i - 9. Let k be b(8). Sort -5, 3, 4, k. -5, 3, 4, k Let l = 751 + -751.5. Sort -1, l, -4/27, 0.2. -1, l, -4/27, 0.2 ...
{ "pile_set_name": "DM Mathematics" }
h(d) = -d**3 - 8*d**2 + 9*d - 11. Let j be h(-8). Let g = j - -192. Is g a composite number? False Let z(r) = r**2 - r - 1. Let g(m) = -m**3 + 2*m**2 + 4*m - 4. Let j be g(3). Let v be z(j). Let c(f) = 83*f. Is c(v) composite? False Let z = -71 - -7. Let m be (116/16)/((-2)/8). Let o = m - z. Is o prime? False Let q =...
{ "pile_set_name": "DM Mathematics" }
**2 wrt o. -12*a**3*l + 336*a**2*l Find the third derivative of 1575*h**2*u**4 - 4*h**2 + 8*h*u**2 + 2*u wrt u. 37800*h**2*u Find the second derivative of -3185*f**2 + 4286*f wrt f. -6370 What is the second derivative of 1722*f**4 + 3*f**3 + 61*f - 7 wrt f? 20664*f**2 + 18*f Find the second derivative of 460*z**4 - 3*z...
{ "pile_set_name": "DM Mathematics" }
5 + w. What is the third biggest value in -4, 1/2, v? -4 Let r = 15/31 + -136/217. Let t = -0.01 - -4.01. Which is the second biggest value? (a) t (b) r (c) 0.1 c Suppose -3*t = -4*t. Suppose -3 = o - 5*h, t = 5*o - 5*h + 5 + 10. What is the second biggest value in 5, o, 3? 3 Let x = 0.4 - 0.6. Let d = 1 + -0.7. Let...
{ "pile_set_name": "DM Mathematics" }
) = -4*k**4 + 2*k**3 + 2*k + 12. Let b(q) = -q**4 + q**3 + q + 1. Let z(y) = -2*b(y) + c(y). What is the first derivative of z(n) wrt n? -8*n**3 What is the third derivative of 8*h**5 + 8*h**5 - 34*h**2 - 27*h**5 wrt h? -660*h**2 Let v(z) = -9*z + 4. Let k(q) = 5*q - 2. Suppose 2*y + 27 = f + 2*f, f = 4*y + 19. Let t(u...
{ "pile_set_name": "DM Mathematics" }
6 + 401. Which is the biggest value? (a) -3 (b) m (c) t b Suppose -7*z = -2*z - 25. Suppose 4 = z*s + 3*m - 15, -s - 2*m + 8 = 0. Let h = -2 + 2.2. Which is the third smallest value? (a) s (b) 0.4 (c) h a Let i = 32/5 - 682/105. Which is the smallest value? (a) -0.1 (b) -2/5 (c) 3/4 (d) i b Suppose -t + 2*f =...
{ "pile_set_name": "DM Mathematics" }
57*y**2 - 1771*y + 10. Let h(f) = 7*b(f) - 2*u(f). Find the second derivative of h(d) wrt d. -18266 Let h(n) be the first derivative of -163*n - 2/5*n**5 + n**2 - 168 + 0*n**4 - 71*n**3. What is the second derivative of h(v) wrt v? -24*v**2 - 426 Let g be ((-3 - 0) + -11)*-2. Find the second derivative of 45*b + g*b - ...
{ "pile_set_name": "DM Mathematics" }
)/((-9)/4). 30 Calculate (6/((-144)/(-56)))/(19*(-78)/(-494)). 7/9 What is ((-576)/48)/((-6)/(-14))*6*(-7)/(-21)? -56 What is the value of (20/490)/(976/263032)? 11 Calculate (909/202)/((-39)/338). -39 What is (-97)/(582/18)*-15? 45 -9*5/315*-168 24 What is ((-3)/((-42)/(-2)))/((-3977)/2477671)? 89 (-29448)/(-6135)*5/(...
{ "pile_set_name": "DM Mathematics" }
est value? (a) 7 (b) 0 (c) n a Suppose -2*y + 4 = -0. Let x be (y/(-4))/(7/8). Which is the third biggest value? (a) x (b) 0.1 (c) 5 a Let c = -7 - -8. What is the second smallest value in c, 2/5, -0.2? 2/5 Let l = 1.2 + -0.2. Let z = 0.5 - l. Suppose -2*g - 5*s = 9 + 2, -g - 10 = 4*s. Which is the third biggest ...
{ "pile_set_name": "DM Mathematics" }
What is the value of -18 + 38 - (23 + -4)? 1 Calculate (-25 - (14 + -21 + -6)) + -18. -30 What is the value of -96 - -90 - (-5 + 23)? -24 -12 + (10 - -10) + -7 + -2 + 0 -1 -7 + (-5 - (5 - 14)) - (-3 + -2) 2 What is the value of -13 - (8 - 22 - 12)? 13 Evaluate -8 - (0 + 10) - -4. -14 What is the value of -6 + 1 + (2 -...
{ "pile_set_name": "DM Mathematics" }
108943, -126715? 3*g**3 + 16*g**2 - 18361*g - 1 What is the l'th term of 39326, 39936, 41592, 44816, 50130, 58056? 87*l**3 + l**2 - 2*l + 39240 What is the m'th term of -1027, -3721, -8183, -14395, -22339, -31997, -43351, -56383? 3*m**3 - 902*m**2 - 9*m - 119 What is the k'th term of -1860, -1687, -1464, -1191, -868, -...
{ "pile_set_name": "DM Mathematics" }
30. Find the third derivative of -31 - 50 + 81 - 237*q**t + q**5 + 151*q**4 wrt q. 60*q**2 + 3624*q Find the third derivative of -47*v + 4965*v**2 - 5431*v**2 + 46*v + 995*v**4 wrt v. 23880*v Let d(f) be the first derivative of 0*f**3 + f**2 - 76/5*f**5 - 14*f + 0*f**4 - 18. Find the second derivative of d(h) wrt h. -9...
{ "pile_set_name": "DM Mathematics" }
= -5 + 2 - 4*b**x + 3. Let r(w) = -w + 2*w**2 + w. Determine r(t(g)). 32*g**4 Let a(g) = 28 - 28 + 2*g. Let f(w) = -5*w. Let h(c) = 30*c. Let s(q) = -35*f(q) - 6*h(q). Give s(a(p)). -10*p Let l(c) be the second derivative of 7*c**5/60 + c**3/2 - 2*c. Let g(h) be the second derivative of l(h). Let s(f) = -f**2. Determin...
{ "pile_set_name": "DM Mathematics" }
-857*r. What is r rounded to the nearest one million? -91000000 Let t(j) = 2*j**3 + 5*j**2 - 4*j + 38. Let g be t(-7). What is g rounded to the nearest one hundred? -400 Let q = 153 + -83. Let c = q - 69.9999932. What is c rounded to six dps? 0.000007 Let l = 21225949929.99999839 - 21225950316. Let q = l - -386. What ...
{ "pile_set_name": "DM Mathematics" }
3). Let x = n - -7. What is the highest common factor of x and 4? 4 Let n = -7 + 12. Suppose -n*i - 2*r + 70 = 19, 18 = 3*i - 3*r. What is the highest common divisor of i and 9? 9 Let c = 111 - 78. What is the highest common factor of 3 and c? 3 Let a = 9 - 4. Suppose -a*n = s - 14, 4*s - s + 3*n - 90 = 0. Calculate th...
{ "pile_set_name": "DM Mathematics" }
ppose -m**2 + 3*m**4 + 6*m**c - 5 + 4*m**2 + 5 = 0. What is m? -1, 0 Let v(n) = 6*n**4 - 6*n**3 - 18*n**2 - 16*n - 2. Let c(m) = -32*m**4 + 30*m**3 + 90*m**2 + 83*m + 11. Let k(r) = -4*c(r) - 22*v(r). Factor k(y). -4*y*(y - 5)*(y + 1)**2 Let q = 1238/1485 - 10/297. Let 6/5 - 2*a**2 - q*a = 0. What is a? -1, 3/5 Let s b...
{ "pile_set_name": "DM Mathematics" }
a) 31 (b) 13 (c) -5/3 c Which is the third smallest value? (a) -35 (b) 0.1 (c) -3 (d) -3/16 d Which is the third biggest value? (a) -2 (b) 1 (c) 5 (d) -243 (e) 4 b Which is the second smallest value? (a) -0.5 (b) -336 (c) -5 c Which is the second biggest value? (a) 4 (b) -1/8 (c) 0.28 (d) 3 (e) -106 ...
{ "pile_set_name": "DM Mathematics" }
114/(-108)? -3 Calculate ((-46)/736)/((-2)/(-4)). -1/8 Calculate (4 - (-93)/(-24)) + (-2)/4. -3/8 Evaluate ((-30)/((-20)/(-4)))/2. -3 What is 4/3 + (48/18 - 2)? 2 Evaluate 4 + -7 + (-2 - 9/(-2)). -1/2 Evaluate 6/(-78) + (-154)/26. -6 Evaluate (-10 - 516/(-54))*6/(-20). 2/15 Calculate 24/156 + 84/(-39). -2 Evaluate 4 + ...
{ "pile_set_name": "DM Mathematics" }
((-7)/(-1))/(105/(-120)) -8 What is (-32)/120*8/((-320)/50)? 1/3 What is the value of 21/(-2)*86/86*(-6)/(-3)? -21 What is (180/216)/(2/(-12))? -5 What is the value of (1*8/(-2))/((-28)/336*-984)? -2/41 (-6)/(44/(-990)*15) 9 What is ((-2)/(-4))/(5*15/30)*4? 4/5 What is (15/((-2640)/8))/(12/(-48))? 2/11 Calculate -3*(-...
{ "pile_set_name": "DM Mathematics" }
*x(t). -5*t - 12 Let z(g) = 5*g**3 + 5*g + 5. Let u(y) be the second derivative of 7*y**5/10 + 7*y**3/3 + 7*y**2 + 9*y. Let x = 9 - 7. Let o = 8 - x. Determine o*u(h) - 17*z(h). -h**3 - h - 1 Let j(v) = 10*v + 2. Let f = -182 + 188. Let k(r) = 9*r + 2. Determine f*k(t) - 5*j(t). 4*t + 2 Let w(s) = -s. Let g(x) = 2*x**2...
{ "pile_set_name": "DM Mathematics" }
and -21? -69.51 Multiply -12 and -34. 408 -3.2 * -71 227.2 29 times 1 29 What is -222 times 0.062? -13.764 What is -3.58 times 4? -14.32 398 times -28 -11144 Product of 0 and 64.4. 0 1 times 25 25 Work out 1787 * -0.01. -17.87 -2*-2.22 4.44 Work out 0.4 * 77. 30.8 5 times 0.8 4 What is -5 times 1134? -5670 -2*-1277 255...
{ "pile_set_name": "DM Mathematics" }
7/4)/(2/(16/6)). Which is the closest to -3/5? (a) v (b) p (c) -2 a Let s = -233.21 + 2.21. Let u = s + 234. Which is the nearest to 6? (a) -29 (b) -1/2 (c) u c Let n = 0.0225 - 1.0225. What is the closest to -2/3 in 16, 0.4, n? n Let w = 29.8 - -101.2. Let x = 134 - w. Let k = -6 + 2. Which is the nearest to -2?...
{ "pile_set_name": "DM Mathematics" }
f -13920712*d**2*j + 56368386*d**2 wrt j? -13920712*d**2 What is the second derivative of 4707771*w**2 - 3588601*w wrt w? 9415542 Find the second derivative of -171030630*k**2 - 1076*k - 56463 wrt k. -342061260 Differentiate 42*d**4 - 11752*d**3 + 3337624. 168*d**3 - 35256*d**2 Find the third derivative of -48737*z**6 ...
{ "pile_set_name": "DM Mathematics" }
5*i**4/12 + 287*i**2. What is the second derivative of p(m) wrt m? -1386 Let g(m) = -m**2 + 4*m - 1. Let u be g(1). Find the second derivative of 103*b**4 - 1 - 105*b**4 + 2 - 37*b - 2 + 58*b**u wrt b. -24*b**2 + 116 Let p(b) = 11*b**2 - 3*b + 148. Let d(a) = -44*a**2 + 13*a - 593. Let g = -302 + 300. Let m(q) = g*d(q)...
{ "pile_set_name": "DM Mathematics" }
What comes next: -56, -72, -114, -194, -324, -516, -782, -1134? -1584 What is the next term in -5279, -10559, -15839, -21119? -26399 What is next in 592, 1187, 1780, 2371, 2960, 3547? 4132 What comes next: 469, 938, 1407, 1876? 2345 What is next in 78, 165, 254, 345, 438? 533 What is the next term in 1997, 1999, 2001,...
{ "pile_set_name": "DM Mathematics" }
2). Suppose 0 = 2*c + 2. What is the remainder when (11 - 1) + s/c is divided by 4? 2 Suppose 2*k = -5*w + w - 24, -4*k - 4*w - 28 = 0. What is the remainder when k/(-9) + 1561/63 is divided by 7? 4 Let h be 2*3*3/(-6). Let m = -9 + h. Calculate the remainder when 13 is divided by (-15)/2*8/m. 3 Let o be (-2)/(38/40 + ...
{ "pile_set_name": "DM Mathematics" }
49047493? 4 What is the millions digit of 516109529? 6 What is the ten thousands digit of 11646400? 4 What is the units digit of 5414547989? 9 What is the hundred thousands digit of 41257894? 2 What is the ten millions digit of 802728961? 0 What is the units digit of 115228284? 4 What is the units digit of 8116908214? ...
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of -2691*k**3 - 12*k + 936? -16146*k What is the second derivative of 26421*x*z**2 + 3*x*z + x + 2*z**2 + 108*z - 7 wrt z? 52842*x + 4 Find the third derivative of -2*w**5 - 7632*w**3 - 6848*w**2 - 4*w wrt w. -120*w**2 - 45792 What is the first derivative of 40*k**3 - 12508*k**2 + 1235984 ...
{ "pile_set_name": "DM Mathematics" }
Let k(x) = -x**2 + 36987*x - 7979084. Give k(217). 6 Let t(z) = -6*z**3 + 46*z**2 - 177*z + 1081. What is t(6)? 379 Let r(f) = 35*f**2 + 834*f + 5057. Calculate r(-6). 1313 Let b(l) = l**3 - 11*l**2 + 3142*l - 31309. Calculate b(10). 11 Let b(a) = -510*a**2 - 88740*a + 7. What is b(-174)? 7 Let x(w) = w**2 - 152*w + 2...
{ "pile_set_name": "DM Mathematics" }
5 is divided by y? 70 Let s = 341 + -307. What is the remainder when 115 is divided by s? 13 Suppose 15 = 5*p, 18*s + 3*p - 77 = 14*s. What is the remainder when 100 is divided by s? 15 Suppose 3*g - 2*g = -2*f + 31, 0 = -2*f + 4*g + 6. Calculate the remainder when 47 is divided by f. 8 Suppose -17*a = -19*a. Suppose a...
{ "pile_set_name": "DM Mathematics" }
19297 is divided by 20. 17 What is the remainder when 145936 is divided by 243? 136 Calculate the remainder when 35092597 is divided by 2924383. 1 What is the remainder when 56682 is divided by 1966? 1634 Calculate the remainder when 76271 is divided by 290. 1 What is the remainder when 108174 is divided by 243? 39 Cal...
{ "pile_set_name": "DM Mathematics" }
cending order. v, -2/3, z, 4 Let o be 78/8 + -11 + (-9)/12. Sort -44, 2, o, 0. -44, o, 0, 2 Let r be -5 - (0 - (4 + -2)). Let f(o) = o**2 - 20*o - 101. Let u be f(24). Sort r, -12, u. -12, u, r Let f = 7 - 7. Let o be 1 - (f - (-9)/(-3)). Let n(v) = v**3 - 16*v**2 + 14*v + 14. Let m be n(15). Sort o, m, -2 in descendin...
{ "pile_set_name": "DM Mathematics" }
se 3*r - 4*u = -42150, -z = r - 4*u + 13662. Let k = r + 24650. What is k rounded to the nearest 1000? 11000 Let v(p) = -11382*p**3 + 70*p**2 - 6*p - 12. Let r be v(-14). Round r to the nearest one million. 31000000 Let b = 10471 + -15353. Let v = 4860.51 + b. What is v rounded to zero dps? -21 Let d = 11166.23 + -1127...
{ "pile_set_name": "DM Mathematics" }
/(1596/70))/((-10)/8)*-3. 2 What is (-8)/20*-5*(-147)/5292? -1/18 What is ((0/10)/7)/1*2/8? 0 What is the value of (73/1387)/(((-28)/(-21))/(-4))? -3/19 Calculate (36/(-3)*(-28)/84)/2. 2 Evaluate 60/((-35)/7)*(-3)/(-6). -6 What is the value of (((-12)/(-98))/(735/686))/(-2)? -2/35 What is the value of ((116/7)/2)/((-17...
{ "pile_set_name": "DM Mathematics" }
). -56 Let d(u) = 3*u**2 - 62*u + 31. Determine d(26). 447 Let j(s) = s**2 + 64*s - 4737. Determine j(44). 15 Let j(s) = -9*s**2 + 36*s + 118. Give j(-3). -71 Let z(a) = 9*a**2 + 130*a. Give z(-16). 224 Let z(r) = -r**2 - 12*r - 103. What is z(-16)? -167 Let p(n) = -n**2 - 7*n + 154. What is p(-18)? -44 Let q(o) = -o**...
{ "pile_set_name": "DM Mathematics" }
). Which is the third smallest value? (a) d (b) -1 (c) -3 a Let t = 115 - 115.5. Which is the third biggest value? (a) 0.05 (b) t (c) -2/13 b Let h = 34 + -34.3. What is the third biggest value in h, 2/3, 5? h Let q = -10.9 + 0.9. Let k = 14 + q. What is the third biggest value in 2/9, -0.5, k? -0.5 Let q = -9.3 ...
{ "pile_set_name": "DM Mathematics" }
2 - 2. 98*q Collect the terms in 88*c**3 + 82*c**3 - 251*c**3 + 82*c**3. c**3 Collect the terms in -3798 + 45*t + 3798 - 47*t. -2*t Collect the terms in 2*j**3 - 221*j**3 - 39*j**3. -258*j**3 Collect the terms in -10*u**3 + 0*u**3 + 2*u**3. -8*u**3 Collect the terms in 231*v + 233*v - 465*v. -v Collect the terms in -5...
{ "pile_set_name": "DM Mathematics" }
laces? -0.0006 Let q = 306510 + -75948. Let z = 32562 - q. What is z rounded to the nearest 10000? -200000 Let l(g) = -7*g**3 + 27*g**2 - 3*g + 10. Let z be l(4). Let m be (-9)/(-54) - 52019997/z. Round m to the nearest one million. 3000000 Let j = -0.127 - 4.773. Let r = j - -4.900563. What is r rounded to five decima...
{ "pile_set_name": "DM Mathematics" }
1/10. Let d(h) be the first derivative of -j*h**3 + 2/5*h**5 + h**2 + 0*h + 2 - 1/2*h**4. Factor d(n). 2*n*(n - 1)**2*(n + 1) Let i = 17 - 151/9. Factor i*h**2 + 2/9*h - 4/9. 2*(h - 1)*(h + 2)/9 Let p = 7 + -3. Let d(m) = 9*m**4 + 28*m**3 + 5*m**2 - 6*m. Let b(k) = -k**3 + k**2. Let c(h) = p*b(h) + d(h). Factor c(s). ...
{ "pile_set_name": "DM Mathematics" }
? 258*u - 454 What is the g'th term of 767503, 3069998, 6907489, 12279976, 19187459? 767498*g**2 + g + 4 What is the p'th term of 1852, 6596, 14484, 25516, 39692? 1572*p**2 + 28*p + 252 What is the v'th term of -56559, -114350, -172141? -57791*v + 1232 What is the x'th term of 1004, 725, 254, -409, -1264? -96*x**2 + 9*...
{ "pile_set_name": "DM Mathematics" }
546 How many minutes are there between 6:30 PM and 2:35 AM? 485 What is 558 minutes after 2:22 PM? 11:40 PM What is 708 minutes after 9:04 PM? 8:52 AM How many minutes are there between 12:34 AM and 1:14 AM? 40 What is 599 minutes after 4:46 PM? 2:45 AM What is 110 minutes before 1:26 PM? 11:36 AM How many minutes are ...
{ "pile_set_name": "DM Mathematics" }
itre? 1250 What is twenty-one halves of a meter in millimeters? 10500 How many micrometers are there in 17/2 of a millimeter? 8500 How many micrograms are there in five quarters of a milligram? 1250 What is 2/9 of a week in minutes? 2240 How many years are there in 17/2 of a century? 850 Convert 2.9153 years to months....
{ "pile_set_name": "DM Mathematics" }
aluate ((6/(-15))/((-34)/425))/(11*(-17)/3553). -95 Calculate ((26/(-16))/1)/(7143/(-114288)). 26 Evaluate -48*(-17)/10200 + 824/(-9050). -2/181 104/(-22)*(-59268)/7184 39 Calculate (-58 - -34) + (-136113)/(-5664). 1/32 Calculate (87/90 + (-84)/280)/((60/558)/(-5)). -31 What is the value of 1/3*5 + ((-41)/20 - 555/(-22...
{ "pile_set_name": "DM Mathematics" }
+ 5*sqrt(11) Simplify ((1*sqrt(1152) - sqrt(1152)) + (sqrt(1152)*-1 - sqrt(18)))/(sqrt(72)/(2*sqrt(8)) - (-2*sqrt(225) - sqrt(9))) + -3. -3 - 18*sqrt(2)/23 Simplify ((-6*(sqrt(20) - sqrt(40)/sqrt(2)))/((sqrt(256) + sqrt(4) - sqrt(4))*-5))**2 + -4. -4 Simplify 3 + sqrt(252) + -3 - (sqrt(84)/(sqrt(72)/(sqrt(6) - -2*sqrt(...
{ "pile_set_name": "DM Mathematics" }
2*g**2 - 2310*g Differentiate -3*r**4 - 2691*r - 49095 with respect to r. -12*r**3 - 2691 What is the derivative of 761454*t**2 + 1152603 wrt t? 1522908*t What is the derivative of -43790*p**2 - 58033 wrt p? -87580*p Differentiate 670595*q + 337708 with respect to q. 670595 Differentiate 623658*l*y**3 - 336*y**3 - 45*y...
{ "pile_set_name": "DM Mathematics" }
r (c) w c Let z = -241/6 - -40. What is the closest to -0.1 in z, -5, -2? z Let c = -7 + 10. Let y = -1 + c. What is the closest to 1 in 0.4, y, 3/4? 3/4 Let v = 0 - 0.2. Let t be 4/(-8)*-2 - 5. Let u be 8/(-8)*t/(-22). What is the closest to -2 in v, u, -1/3? -1/3 Let p = -4 - -11/3. What is the nearest to p in -3/7,...
{ "pile_set_name": "DM Mathematics" }
creasing order. y, -1/4, r Let b = -0.3 + 0.1. Let i = 3.47 + 0.33. Let m = b - i. Put -2/13, 0.1, m in descending order. 0.1, -2/13, m Suppose 2*k = 4*k + 6. Let x = k - -1. Sort -0.2, x, 0 in descending order. 0, -0.2, x Let q = 27 - 27.2. Put -2/13, q, 0 in descending order. 0, -2/13, q Suppose 2*c - 4*c + 1 = x, 0 ...
{ "pile_set_name": "DM Mathematics" }
**3 + 272256*j**2 - 411300*j + 5832. -4*(j - 3)**2*(11317*j - 162) Factor 2*i**3/3 + 136198*i**2/3 - 181608*i. 2*i*(i - 4)*(i + 68103)/3 Determine u, given that -2*u**4/5 + 1152*u**3/5 + 6082*u**2/5 - 157752*u/5 - 32536 = 0. -14, -1, 10, 581 Factor 2*s**3/9 - 2194448*s**2/9 + 601950253088*s/9. 2*s*(s - 548612)**2/9 Fac...
{ "pile_set_name": "DM Mathematics" }
3 Let t be (8/4 - -4)/2. Suppose -5*p + 7 = 5*h - 13, -15 = -4*p - t*h. What is the third derivative of -43*f + 2*f**2 + 6*f**p + 43*f wrt f? 36 Let u = 321 - 303. Find the second derivative of 11*f**2 - f**3 + 9*f - 1285 + 1285 + u*f wrt f. -6*f + 22 What is the second derivative of 1044*i**2 - i - 72*i**2 + 722*i**2 ...
{ "pile_set_name": "DM Mathematics" }
when 7034 is divided by 102? 98 Calculate the remainder when 573 is divided by 48. 45 What is the remainder when 3940 is divided by 27? 25 What is the remainder when 68 is divided by 18? 14 Calculate the remainder when 2157 is divided by 80. 77 Calculate the remainder when 37 is divided by 23. 14 Calculate the remainde...
{ "pile_set_name": "DM Mathematics" }
x? False Let d(c) = 7*c - 8. Let x(k) = -k**3 + 3*k**2 - k + 7. Let i = -89 - -92. Let v be x(i). Let l be d(v). Is l less than 21? True Suppose -291 = -16*j + 19*j. Let m = 97 + j. Suppose m = 5*s + 11 + 29. Which is smaller: s or -7? s Let d = 92.2139 - 0.0139. Let v = 86 - d. Let o = -5.2 - v. Which is smaller: 25 o...
{ "pile_set_name": "DM Mathematics" }
s**(-631/115) Simplify (i**(-5/4)/i*i**(-2/3)/i)/(i**(1/5))**42 assuming i is positive. i**(-739/60) Simplify m**(-11)*(m*m*m*m/(m*m*m/(m*m/(m*(((m/(m**10*m*m))/m)/m)/m)))*m*m*m)/m*(m/(m/(m/(m*m**(-3/5)/m*m))))**(14/9) assuming m is positive. m**(119/15) Simplify ((n*n**(2/11))/n)**(1/33)/(n**(3/8)*n*n/((n*n**(1/2))/n)...
{ "pile_set_name": "DM Mathematics" }
45, 2747? 5*r**2 + 667*r - 1 What is the j'th term of 2521, 4893, 7257, 9607, 11937, 14241, 16513? -j**3 + 2*j**2 + 2373*j + 147 What is the b'th term of 3433, 6867, 10349, 13903, 17553, 21323, 25237, 29319? 4*b**3 + 3406*b + 23 What is the s'th term of 14268, 14263, 14258, 14253, 14248? -5*s + 14273 What is the q'th t...
{ "pile_set_name": "DM Mathematics" }
= -q*x, 0 = 3*k + 5*x for k. 0 Let j = -1882 - -1886. Solve 4 = -j*n - 5*o - 5, -24 = -n + 4*o for n. 4 Let q be 32/(-40)*(-25)/5. Solve -22 = -n - d - 15, -5*n + q*d = -8 for n. 4 Let p = 1020 + -337. Suppose -p*h + 679*h = -12. Solve -10 = 5*k + 3*v, k - 2*v = h - 5 for k. -2 Let j(t) = t**3 - 4*t**2 - 5*t - 4. Let ...
{ "pile_set_name": "DM Mathematics" }
er than -1? True Let y be 2/6 - (-59)/(-141). Let k = y + -27/235. Which is greater: k or 0? 0 Let g be (-187)/24 + 6/48. Which is greater: g or -8? g Let c(f) = -f**2 - f + 1. Suppose y + 6 = -y. Let m be c(y). Is -5 at most m? True Suppose -13 = -3*p - 4. Suppose -3 - 4 = 4*g - p*x, 0 = -2*g - x - 1. Which is smaller...
{ "pile_set_name": "DM Mathematics" }
x**2 - 36*x - 74. Let z be y(38). Factor 4/5 + 3/5*t**z + 8/5*t. (t + 2)*(3*t + 2)/5 Let q(b) = -b**4 + b - 33*b**2 - b - b**5 - 1 + 34*b**2. Let j(o) = -9*o**5 - 12*o**4 + 12*o**2 + 3*o - 6. Let r(v) = -j(v) + 6*q(v). Factor r(n). 3*n*(n - 1)*(n + 1)**3 Let z(n) be the second derivative of -9*n**5/4 - 35*n**4/4 - 40*n...
{ "pile_set_name": "DM Mathematics" }
What is k(f)? -5 Let v(b) = -8*b - 4. Let a(k) = k**2 + 10*k - 28. Let f(c) = 4*c**2 - 34*c + 4. Let h be f(8). Let d be a(h). Give v(d). 28 Let u(s) be the first derivative of s**4/2 + 14*s**3/3 + s**2/2 + 16*s + 2172. Calculate u(-7). 9 Let y(p) be the second derivative of -p**6/120 - 3*p**5/20 - 7*p**4/24 + p**3/2 -...
{ "pile_set_name": "DM Mathematics" }
o -1? (a) 3 (b) -0.4 (c) -1 (d) 1286 c What is the nearest to -1 in 5, -8, -88, 3? 3 What is the closest to -1 in -2/5, 3.8, 83, 22? -2/5 Which is the nearest to 51? (a) -2/3 (b) -1 (c) -46 (d) -5 a What is the closest to -2/7 in 137, -15, -3, 0.5, -0.12? -0.12 What is the nearest to 0.123 in -1/9, -0.2, -0.17?...
{ "pile_set_name": "DM Mathematics" }
that p**3/3 - 762*p**2 + 6845*p/3 + 3044 = 0. -1, 4, 2283 Factor 2*f**3 - 1640*f**2 + 1634*f + 3276. 2*(f - 819)*(f - 2)*(f + 1) Factor -5*g**3 + 2085*g**2 + 30330*g - 68960. -5*(g - 431)*(g - 2)*(g + 16) Solve -3*j**3/7 - 510*j**2/7 - 25056*j/7 - 54432 = 0. -98, -36 Determine c so that 4*c**5 + 1092*c**4 + 3244*c**3 +...
{ "pile_set_name": "DM Mathematics" }
-2*m. Suppose 3*q + 17 = -28. Let b(c) = 243*c - 112*c - 126*c. Let x(z) = -21*z. Let l(i) = q*b(i) - 4*x(i). Determine l(r(f)). -18*f Let x(o) be the first derivative of -7 - 8/3*o**3 + 0*o**2 + 2*o. Let s(n) = n. Calculate s(x(b)). -8*b**2 + 2 Let g(k) = k**2 - 1829*k + 4. Let w(f) = 3376*f. Give g(w(v)). 11397376*v...
{ "pile_set_name": "DM Mathematics" }
ime number? False Let y(b) = b**2 + 2*b + 1. Let n be y(-4). Let u(i) = -i**3 + 17*i**2 + 10*i + 4. Let z be u(n). Suppose 0 = 9*h - 5 - z. Is h composite? False Suppose 962*j - 86646106 = 916*j. Is j a prime number? True Suppose -6 = -f + 2*z, -5*f + 5*z + 75 - 20 = 0. Let j(k) = 0*k**2 + 5*k - 13 + 14*k + 2*k**2. Is ...
{ "pile_set_name": "DM Mathematics" }
at is the derivative of -5*u**2 + 8 + 10*u**2 - 4*u - u wrt u? 10*u - 5 Let o(g) = -g + 9. Let d be o(5). What is the derivative of -8 + 5*h**4 + 7 - d wrt h? 20*h**3 Suppose -4*h = -3 - 17. What is the second derivative of 6*r**5 + h*r - 47 + 47 wrt r? 120*r**3 Let g(p) = -15*p**3 - 50*p**2 + 11*p - 11. Let h(x) = -5*...
{ "pile_set_name": "DM Mathematics" }
0 = 4*d for b. 5 Solve 2*p + 2*c = -2, -2*p - 5*c = 20 - 12 for p. 1 Solve 2*d + 0 - 4 = -u, -4 = 2*d - u for d. 0 Solve 4*u + 32 = -4*g, -3*g + 10 = -5*u + 2*g for u. -5 Solve -5*p - 50 = -5*y, -p + 0*p - 4*y = -10 for p. -6 Solve -8 = 4*h + 2*l, 4*l = -0*h + h + 2 for h. -2 Solve -2*x + 23 = 4*o + 9, 16 = 5*o + x fo...
{ "pile_set_name": "DM Mathematics" }
= q - 27.6. What is c rounded to zero dps? 2 Let m = 0.14588 - -16.91212. What is m rounded to one decimal place? 17.1 Suppose 4*r + 33729734 = -p - 2*p, -4*p + 3*r = 44972937. Let y = p - -3763238. What is y rounded to the nearest 1000000? -7000000 Let w = 27 - -14. Let p = w + -45.6. Let f = p + 0.5. Round f to the n...
{ "pile_set_name": "DM Mathematics" }
rt 70.352ml to litres. 0.070352 What is 2.519058 nanoseconds in milliseconds? 0.000002519058 Convert 85303.84cm to millimeters. 853038.4 How many millilitres are there in five quarters of a litre? 1250 How many kilometers are there in 277890.2mm? 0.2778902 Convert 1873662.3 months to decades. 15613.8525 Convert 7.83530...
{ "pile_set_name": "DM Mathematics" }
+ 40.1. What is the nearest to -1/3 in s, u, l? u Let k = -0.156 - -0.256. What is the closest to k in -2/11, -0.1, 5/2? -0.1 Let h = 51 + -51. Let w = 1.4 + -4. Let s = -3.1 - w. Which is the nearest to 4? (a) 3 (b) s (c) h a Let f = -302 + 2113/7. Which is the closest to -2/3? (a) 7 (b) f (c) 1 (d) 2/9 b Let ...
{ "pile_set_name": "DM Mathematics" }
ing 1 y, 1 m, and 1 u. 1/5 Calculate prob of picking 2 q and 1 b when three letters picked without replacement from {h: 1, q: 7, b: 6}. 9/26 What is prob of picking 3 e and 1 m when four letters picked without replacement from {l: 1, m: 5, u: 1, d: 1, e: 4}? 4/99 Four letters picked without replacement from ggguggghhgg...
{ "pile_set_name": "DM Mathematics" }
- 2*z**2 - 5*z + 1 Let i(g) = -g. Let s(m) = -4*m - 2. Give -i(j) + s(j). -3*j - 2 Let p(j) = 3*j**2 + 5*j - 17. Let b(i) = -4*i**2 - 7*i + 26. Calculate -5*b(y) - 7*p(y). -y**2 - 11 Let m(n) = -n**3 + n**2 - 1. Suppose 6*p = 2*p + 4. Let z(y) = y**3 - 2*y**2 + 2. Calculate p*z(k) + 2*m(k). -k**3 Let r(w) = -3*w**3 - 5...
{ "pile_set_name": "DM Mathematics" }
he fourth smallest value in 1/4, -3, -0.4, -9? 1/4 Which is the third biggest value? (a) 42.6 (b) 1.1 (c) 4 (d) -1/6 b Which is the second smallest value? (a) -0.1 (b) 5 (c) 0.12 (d) -4 a What is the fourth smallest value in -4/3, -4, -0.1, 1, 45? 1 Which is the biggest value? (a) 1/6 (b) -2084 (c) -5 a Whic...
{ "pile_set_name": "DM Mathematics" }
25*f**4 - 2277*f**2 + 763*f**2 - 22*f**3 - 2 + 7*f**3 + 755*f**2 + 758*f**2 in the form h + c*f**4 + q*f + n*f**2 + l*f**3 and give n. -1 Express 365 + 10*p**2 - 1289 - p**3 - p + 394 + 375 in the form b*p**3 + s + t*p**2 + r*p and give b. -1 Express (46*x**2 - 27*x**2 - 59*x**2)*(172*x**2 - 8415 + 8415) as l*x**3 + n...
{ "pile_set_name": "DM Mathematics" }
). Let u be -2 + 1/(-1) + d. Let q be (-12)/8*4/u. Which is greater: 1 or q? q Let j(x) = 2*x**3 + 10*x**2 - 3*x - 6. Let l be j(-5). Do 47/6 and l have different values? True Let y be (3 - (-87)/(-27))/(-1). Suppose -8 = 3*c - 4*p, 4*p - 7 - 1 = 0. Is y smaller than c? False Let v be 10 - (10/25)/((-2)/(-10)). Is 7 at...
{ "pile_set_name": "DM Mathematics" }
3 Suppose 2*p - 3*k = 7, 4*p = 3*k + 4 + 13. Let n = p - 1. Solve 3*i + 3*x + 6 = 0, -12 = 4*i + 2*x - n for i. -2 Let n(x) = x - 5. Let s be n(7). Let u be s + -1 + 2 + -1. Solve -3*b = u*v - 1, 6*v - 3*v + 2*b - 4 = 0 for v. 2 Let q be (3 + 3)*5/(-2). Let c be (5/4)/((-1)/4). Let j = c - q. Solve 0 = 3*o + 15 - 0, 0 ...
{ "pile_set_name": "DM Mathematics" }
, -92 = -5*k + 4*u. Calculate the remainder when 37 is divided by k. 17 Suppose -m = -3*i + 25 + 75, -5*i + 174 = 2*m. What is the remainder when 744 is divided by i? 30 Let b = 73 + -74. What is the remainder when (1525/(-75))/(b/6) is divided by 42? 38 Suppose 0 = -s - 4*s + 540. Suppose 4*k - 40 = s. Suppose -2*b + ...
{ "pile_set_name": "DM Mathematics" }
) - 9*z(d). Factor f(a). -4*a*(a - 20)**2*(a - 1) Let x(y) = -27*y**3 + 53*y**2 + 11*y. Let z(o) = 5*o**3 - 11*o**2 - 2*o. Let h(s) = 2*x(s) + 11*z(s). Factor h(t). t**2*(t - 15) Let v = -214 - -224. Let o be (165/27 - 6)/(v/45). Solve r**2 + 0*r**3 - 1/2*r**4 - o + 0*r = 0 for r. -1, 1 Solve -669/5 + 666/5*a + 3/5*a**...
{ "pile_set_name": "DM Mathematics" }
2). -30*v**4 Expand (15*n**3 - 33*n**3 + 16*n**3)*(11 + 0 - 1). -20*n**3 Expand (-8 + 10 - 30*n + 100*n)*(-11 + 26 - 14). 70*n + 2 Expand (c - c - c**2)*(7 - 14 - 1) + (c + 0 + 0)*(1 - 1 + c) - 2*c**2 + 0*c + 0*c + 0*c**2 - 2*c**2 + 0*c**2. 5*c**2 Expand (-14*r - 16*r + 55*r)*(-2*r**2 + 6 - 6). -50*r**3 Expand -3*d**2 ...
{ "pile_set_name": "DM Mathematics" }
*3 - 4*w**2 - 11*w + 103. Let j(h) = -2*c(h) - f(h). What is the second derivative of j(g) wrt g? -2022*g Let w(c) be the third derivative of 0 + 25/2*c**4 - 194*c**2 + 0*c + 47/3*c**3. Differentiate w(i) with respect to i. 300 Let r(n) be the first derivative of -17*n**4/2 + 2*n**2 - 3053*n + 3041. Differentiate r(m) ...
{ "pile_set_name": "DM Mathematics" }
f be (-2)/3*3 - 9. Let d = f + 36. What are the prime factors of d? 5 Suppose 0 = -2*p - 4*n + 194, -463 = -4*p - 3*n - 50. List the prime factors of p. 107 Let a(r) = -9*r + 5. Let i(l) = -4*l + 2. Let o(c) = -2*a(c) + 5*i(c). What are the prime factors of o(-6)? 2, 3 Suppose 11*k = 14*k - 936. List the prime factors ...
{ "pile_set_name": "DM Mathematics" }
48 = 0. 3732 Factor l**3 - 104*l**2 - 107*l + 210. (l - 105)*(l - 1)*(l + 2) Factor 2*t**2 + 208*t + 5408. 2*(t + 52)**2 Factor 2*m**4 + 36*m**3 + 160*m**2 - 36*m - 162. 2*(m - 1)*(m + 1)*(m + 9)**2 What is h in 76*h**2/7 - 74*h/7 - 2/7 = 0? -1/38, 1 Factor -3*m**2/2 - 945*m/2 + 2400. -3*(m - 5)*(m + 320)/2 Solve z**5/...
{ "pile_set_name": "DM Mathematics" }