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8*u + 4 Let t(k) = -2*k**2 - 4*k - 162. Let g(i) = -13*i**2. What is t(g(c))? -338*c**4 + 52*c**2 - 162 Let z(j) = -j + 2. Let t(v) = 4*v - 7. Let a(h) = -2*t(h) - 7*z(h). Let y(n) = 17*n + 3. Determine a(y(p)). -17*p - 3 Let l(p) = -6*p**2. Let k(c) = 797*c. Calculate k(l(x)). -4782*x**2 Let d(v) = 20*v + 2. Let m(w) ...
{ "pile_set_name": "DM Mathematics" }
5. Let b(u) = -5*u. Let a be b(y). Suppose -s + a = 4. Calculate the greatest common divisor of 7 and s. 1 Let v(q) = -2*q**2 - q + 1. Let u be v(1). Let l be u*((-47)/(-2))/(-1). Suppose 0 = 2*b - 311 + l. What is the highest common factor of 12 and b? 12 Suppose 64*p - 60*p + 2*t - 520 = 0, -p - t + 132 = 0. What is...
{ "pile_set_name": "DM Mathematics" }
the smallest value? (a) 2 (b) 4 (c) 1/7 (d) -2 (e) 288 d Which is the second smallest value? (a) 5 (b) -3 (c) 0.4 (d) 2 (e) 81 c Which is the fourth biggest value? (a) 4 (b) 0.131 (c) -5 (d) -0.4 c Which is the fourth biggest value? (a) -0.2 (b) -3 (c) -1 (d) -15 d What is the third smallest value in...
{ "pile_set_name": "DM Mathematics" }
4 = 104? True Which is greater: -1 or 497? 497 Is 3733/5 at most 748? True Which is smaller: -1 or 5/1129? -1 Are -0.037 and -2/13 unequal? True Does 346 = 346? True Which is bigger: -517 or -519? -517 Is 2871 > 2872? False Is -2327 >= -2327? True Which is smaller: -2/1533 or -1/2? -1/2 Which is bigger: -6/13 or -10? -...
{ "pile_set_name": "DM Mathematics" }
0.1 Which is the nearest to -4? (a) -2/11 (b) 1/4 (c) -0.1 (d) -1/14094 (e) -1/9 (f) 1/5 a What is the nearest to -0.1 in 0.4, -2, -22201, 2/25, -5/3? 2/25 Which is the closest to 0.6? (a) 2/11 (b) 3 (c) 6 (d) 2 (e) -1/17326 (f) -2/11 a Which is the nearest to 0.1? (a) 1/7 (b) -5 (c) -26 (d) -954 (e) ...
{ "pile_set_name": "DM Mathematics" }
238*r - 764. What is 11*g(n) + 4*v(n)? -5409*n + 2 Let b be -3 + ((-560)/(-126) + -4)/(4/54). Let o(h) = 5*h + 6. Let p(d) = -6*d - 3. Let r(y) = 19*y + 8. Let m(q) = 7*p(q) + 2*r(q). Calculate b*m(v) + 2*o(v). -2*v - 3 Let i(m) = 353*m**3 + 4*m**2 - 6*m - 357*m**3 + 7*m + 0*m. Let a(r) = -r**3 + r**2. What is -2*a(j) ...
{ "pile_set_name": "DM Mathematics" }
hat is 1100111012100 - 10? 1100111012020 In base 7, what is 1165 + 2240251? 2241446 In base 12, what is 5 - -24499a1? 24499a6 In base 11, what is -76242 + 124? -76119 In base 4, what is -101321120201220 + 0? -101321120201220 In base 5, what is 231 - 213304210? -213303424 In base 12, what is -137656 + -6b? -137705 In ba...
{ "pile_set_name": "DM Mathematics" }
6 for w. 4 Let k = -11 + -27. Let z be (-53)/((-2 - -4)/(-2)). Let w = k + z. Solve -3*m + w = -0*m for m. 5 Let g = 271 + -244. Solve -5*i - 42 = -g for i. -3 Suppose 48*i = 46*i + 4*g + 10, 0 = 2*g - 6. Solve -8*c = -i - 29 for c. 5 Let h be 1*4*(7 - 3). Suppose -24 = -2*w - h. Solve -c - 5 = w*c for c. -1 Let a be ...
{ "pile_set_name": "DM Mathematics" }
) wrt l? 6*l - 11 Let i(r) = 905*r**3 - 6*r**2 - 767. Let f(l) = 904*l**3 - 5*l**2 - 769. Let u(c) = 6*f(c) - 5*i(c). What is the first derivative of u(a) wrt a? 2697*a**2 Let z(v) be the third derivative of 41*v**7/35 - v**6/40 + v**5/20 + 1915*v**3/2 - 2*v**2 + 48*v - 20. What is the first derivative of z(d) wrt d? 9...
{ "pile_set_name": "DM Mathematics" }
en n is divided by 18. 11 Let x = -331 + 482. Calculate the remainder when x is divided by 11. 8 Calculate the remainder when 71 is divided by (-30)/(-20)*(-16)/(-3). 7 Let c(n) = 2*n - 5. Let o(a) = a**3 + 15*a**2 - 19*a - 14. Let y be o(-16). Suppose -36*d + y*d = -24. What is the remainder when d is divided by c(6)?...
{ "pile_set_name": "DM Mathematics" }
-2*g = -2 + 14. Let v be -3 + (-3)/(g/10). What is the second derivative of 4*n**v + 0*n**2 - 5*n**2 - 7*n + 0*n**2 wrt n? -2 Let m be 2 + 2*(1 + 0). Suppose m*p - 3*a = -8*a + 28, -2*a + 8 = 0. Find the third derivative of 3*z**2 + 5*z**3 + 3*z**2 + z**3 + z**p wrt z. 36 Let j(w) = -8*w**2 + 71*w + 314. Let y(r) = 4*...
{ "pile_set_name": "DM Mathematics" }
1/2, to the nearest integer? 735 What is the ninth root of 1966966 to the nearest integer? 5 What is the ninth root of 537258 to the nearest integer? 4 What is the cube root of 233921 to the nearest integer? 62 What is the fifth root of 848009 to the nearest integer? 15 What is 118024 to the power of 1/10, to the near...
{ "pile_set_name": "DM Mathematics" }
/35 Three letters picked without replacement from ddjdkdkkkkddddkjkj. Give prob of picking 3 d. 7/102 Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {i: 2, s: 2, w: 5}. 1/9 Calculate prob of picking 1 w and 1 r when two letters picked without replacement from kwrkzrr. 1/7 What is...
{ "pile_set_name": "DM Mathematics" }
(-8)*(-2 + (-20)/(-6)). What is the lowest common multiple of 8 and s(l)? 8 Find the common denominator of 89/6 and ((-16)/(-300)*-3)/(3/95). 30 Let y = -13966 - -293215/21. What is the common denominator of 19/3 and y? 21 Suppose 0 = -24*s + 14*s + 12*s. Suppose 13*v - 608 + 114 = s. What is the least common multiple ...
{ "pile_set_name": "DM Mathematics" }
*2 Let x(f) be the third derivative of 0*f**3 + 1/150*f**5 + 0 - 224*f**2 - 71/60*f**4 + 0*f. Factor x(r). 2*r*(r - 71)/5 Let k(w) = -5*w + 105 - 103 + 10*w - 4*w + 2*w**2. Let n(v) = 15*v**2 - 75*v + 90. Let b(s) = -6*k(s) + n(s). Solve b(f) = 0 for f. 1, 26 Suppose -2*d + 51 = 5*t, -3*t - 58*d = -62*d - 15. Suppose 0...
{ "pile_set_name": "DM Mathematics" }
= -2*x - t for x. -3 Let f(k) = k**2 + k - 9. Let p be f(-4). Let y be (30/18)/(p/9). Solve -7 - y = 4*u for u. -3 Let y be 0 - 2 - (-160 - 2). Suppose -y = j - 41*j. Solve -d = -0*d + j*d for d. 0 Let r(h) = 7*h + 58. Let z be r(-8). Suppose -z*i + 5 = -3. Solve -c + i - 1 = 0 for c. 3 Suppose 4*a - 55 = -5*m - 6, a ...
{ "pile_set_name": "DM Mathematics" }
f*f assuming f is positive. f**(81/13) Simplify (z*z**(1/9)*z**(-2))/((z/(z/(z*z**(-1/6)*z*z)))/(z**(3/8)/z)) assuming z is positive. z**(-313/72) Simplify (((g*g*(g/(g*g/((g*g**(-11))/g)*g))/g)/g)/g)**(-3/13) assuming g is positive. g**(42/13) Simplify (h**5/(h*h*h**(-6)))**(4/3) assuming h is positive. h**12 Simplify...
{ "pile_set_name": "DM Mathematics" }
ose 2*s + a = 3*y - 81, -4*y + 370 = -3*s. Is y composite? True Suppose -5*b + 8*b + 3 = 0. Is 4/6 - b*2307/9 composite? False Let s(j) = 38*j**2 - 1. Let d(f) = -39*f**2 - f + 1. Let q(p) = -5*d(p) - 4*s(p). Let w(n) = -n**2 - 11*n - 15. Let h be w(-10). Is q(h) composite? False Suppose -2*z + 780 = -2*w, -3*z + 2*w +...
{ "pile_set_name": "DM Mathematics" }
*p**3 - 5*p - p**3 as s*p + o*p**3 + k + a*p**2 and give o. 9 Rearrange 43*u - 17548*u**2 - 6*u**4 - 2*u**3 + 7*u**3 + 35098*u**2 - 17548*u**2 to the form q + v*u**4 + a*u**3 + h*u + n*u**2 and give v. -6 Express -6*i**3 - 63*i**2 + 55 + 186*i**2 + 2*i**3 - 70*i**2 - 66*i**2 in the form b + w*i**3 + p*i + f*i**2 and gi...
{ "pile_set_name": "DM Mathematics" }
the remainder when 507 is divided by 42? 3 What is the remainder when 1821 is divided by 122? 113 What is the remainder when 460 is divided by 14? 12 What is the remainder when 140 is divided by 18? 14 What is the remainder when 13971 is divided by 51? 48 What is the remainder when 861 is divided by 18? 15 Calculate t...
{ "pile_set_name": "DM Mathematics" }
. Factor b(c). c*(c + 1)**2 Let z(a) be the second derivative of 4*a - 33/28*a**4 + 3/140*a**5 - 3993/14*a**2 + 0 + 363/14*a**3. Let z(x) = 0. What is x? 11 Let q(x) = 2*x**4 + 553*x**3 + 3*x**2 - 3*x - 3. Let r(p) = 15*p**4 + 4425*p**3 + 25*p**2 - 25*p - 25. Let k(w) = -25*q(w) + 3*r(w). What is s in k(s) = 0? -110, 0...
{ "pile_set_name": "DM Mathematics" }
, 1 Let l(v) = -4*v**2 + 50*v + 12. Let y(a) = -3*a**2 + 51*a + 26. Let z(b) = -2*l(b) + 3*y(b). Suppose z(g) = 0. What is g? -1, 54 Let d(x) be the second derivative of 1/5*x**3 + 2/5*x**2 + 0 + 1/30*x**4 + x. Factor d(u). 2*(u + 1)*(u + 2)/5 Let q(c) be the first derivative of c**4/14 + c**3/3 - 2*c**2/7 - 71. Factor...
{ "pile_set_name": "DM Mathematics" }
e -q = 2*q - 18. Let g(d) = -1. Let r(m) = q*g(m) + t(m). Give i(r(k)). 7*k**2 Let a(v) = 142*v**2. Let p(d) = 72*d**2 + 9*d - 14. Let k be p(9). Let c(b) = 2*b + 5899 - k. Determine a(c(u)). 568*u**2 Let g(z) be the third derivative of -z**5/30 - 379*z**2. Let o(x) be the third derivative of x**4/8 + x**2. Determine g...
{ "pile_set_name": "DM Mathematics" }
3970*y**2 + 95280*y. Give p(-24). 0 Let q(g) = -g**3 + 2*g**2 + 30*g - 106. What is q(-6)? 2 Let k(h) = 24*h**2 - 970*h + 3666. Give k(36). -150 Let u(g) = 66*g**2 + 492*g + 363. Determine u(-7). 153 Let u(h) = -3378*h + 810718. What is u(240)? -2 Let o(u) = 1074*u - 42878. Determine o(40). 82 Let g(p) = -2*p**3 - 8*p*...
{ "pile_set_name": "DM Mathematics" }
- 7*y**2 + 12*y + 7. Let j be f(4). Let v(l) = -l**3 + 7*l**2 + l + 3. Let t be v(j). Solve 5*z + t = -15 for z. -5 Let m(i) be the second derivative of 1/12*i**4 - 4/3*i**3 - 6*i + 15/2*i**2 + 0. Let w be m(6). Solve -n + 12 = w*n for n. 3 Let l(n) = 2*n**2 - n - 21. Let t be l(5). Solve m - 19 = -t for m. -5 Let s(r...
{ "pile_set_name": "DM Mathematics" }
/8 Calculate ((-2410)/5784)/((-10)/(-4)*2). -1/12 Calculate 198/66*8/(-132). -2/11 What is the value of (75/80*-4)/((-12)/(-64))? -20 (4/(-5))/(-2)*295/(-708) -1/6 What is (-23)/(-690)*40*2/4*-9? -6 What is the value of (-1)/(-1)*(2/4)/((-403)/(-62))? 1/13 What is (9/(-3564)*-11)/(12/16)? 1/27 Evaluate 42/(-48)*36/224*...
{ "pile_set_name": "DM Mathematics" }
, -2*t - k + 35352 = 0. Is t a multiple of 26? True Let d = -3046 + 8835. Does 99 divide d? False Is (2458/8)/(9/90)*32/20 a multiple of 11? False Let f(q) = 8 + 3*q + 1 - 2*q - 6. Let j be f(0). Suppose j*a = -0*a + v + 253, 172 = 2*a - 4*v. Is 28 a factor of a? True Let r be 0/1*2/(-6). Let t = r - -121. Does 9 divid...
{ "pile_set_name": "DM Mathematics" }
*g**5 wrt g. 40*g**3 + 2 Let j = -5 + 14. Let z(o) = o**3 - 9*o**2 - o + 11. Let g be z(j). Find the third derivative of 4*s - 7*s**2 - 4*s + 6*s**2 + g*s**4 wrt s. 48*s Let o(b) = 6*b + 2 - 13*b + 5*b. Let m be o(0). What is the derivative of 4*s**2 + 0 - 2*s**2 + 2*s**m + 1 wrt s? 8*s Let w(y) be the third derivative...
{ "pile_set_name": "DM Mathematics" }
(a) -16198 (b) -550 (c) 5 c What is the third smallest value in 46, -21153/5, -2? 46 Which is the sixth biggest value? (a) -200 (b) 73 (c) 3/5 (d) -0.06 (e) 5 (f) 7 (g) 0.3 d Which is the fifth biggest value? (a) -0.5 (b) -0.2 (c) 2 (d) 4098 (e) -24/23 (f) 3 (g) 0 b What is the fourth biggest value in ...
{ "pile_set_name": "DM Mathematics" }
digit of 579609? 5 What is the hundreds digit of 17140233? 2 What is the units digit of 197277? 7 What is the hundreds digit of 128095? 0 What is the hundred thousands digit of 20078313? 0 What is the ten thousands digit of 945308? 4 What is the hundred thousands digit of 1354466? 3 What is the tens digit of 218606? 0 ...
{ "pile_set_name": "DM Mathematics" }
u - 4*z, 517 = l*u + 3*z - 2*z. Suppose 4*n = 4*a + u, 4*n = -2*a + 36 + 242. What are the prime factors of n? 2, 17 Suppose 6 - 4 = 3*p - w, p + w = -2. Suppose -2*x = 4, 5*s + 4*x + p = 12. Suppose 0 = -2*c + s*q + 342, c - 161 = 3*q - 6*q. What are the prime factors of c? 167 Let f = 11701 - 6538. What are the prime...
{ "pile_set_name": "DM Mathematics" }
0*u = -u + r. Is u a multiple of 21? False Let i(p) = -p**2 - 4*p + 2. Let q be i(-3). Suppose 4*n - q*d = 301, -n - 2*d + 73 = -4*d. Is n a multiple of 19? False Let k be (4/(-5))/(2/10). Let d be (k/(-6))/((-1)/(-9)). Let s = 2 + d. Is 8 a factor of s? True Suppose -o - 2*f - 7 = 0, 0 = -4*o - 2*f + 1 - 11. Let g be ...
{ "pile_set_name": "DM Mathematics" }
n fifths of a gram in milligrams? 3600 Convert 61.77756 days to microseconds. 5337581184000 What is 86055.01t in milligrams? 86055010000000 How many meters are there in 0.4940489 millimeters? 0.0004940489 Convert 86106.51 minutes to milliseconds. 5166390600 What is twenty-one halves of a meter in millimeters? 10500 Wha...
{ "pile_set_name": "DM Mathematics" }
- 7. Determine q(-3). 89 Let p(a) = a**2 - 137. What is p(12)? 7 Let s(y) = -y**3 - 3*y**2 + 73*y - 22. Determine s(7). -1 Let j(k) = 5*k - 46. What is j(13)? 19 Let m(r) = -3*r**2 + 6*r. Give m(3). -9 Let l(y) = 2*y - 23. Calculate l(10). -3 Let r(q) = q**3 + 9*q**2 - 13*q - 36. Determine r(-10). -6 Let v(c) = -c**2 ...
{ "pile_set_name": "DM Mathematics" }
2/i*(-36)/(-4). Solve -g**4 - 10*g**f - 4*g**4 - 52*g**5 + 57*g**5 = 0 for g. -1, 0, 2 Let v(w) be the first derivative of -5*w**3/12 + 15*w**2/2 + 665*w/4 + 1859. Factor v(c). -5*(c - 19)*(c + 7)/4 Suppose -3*t + 0*t - 510 = 5*v, -400 = 4*v + 4*t. Let r be ((-45)/v)/((-2)/(-14)). Let 0*w**3 - 12*w - w**3 + 5*w**r - w*...
{ "pile_set_name": "DM Mathematics" }
v*s + r*s**3 + z + j*s**2 and give r. -13 Rearrange 53*k - 12*k - 45*k - 21*k**2 to the form w + r*k**2 + s*k and give r. -21 Rearrange -9*p**2 - 4758*p**4 + 4771*p**4 - 4*p**2 + 4*p to b*p**2 + k*p**4 + q*p**3 + o + n*p and give k. 13 Rearrange 2708 + 27*k - 2708 + (-15 + 48 - 24)*(-k + 2*k - 3*k) to y*k + o and give...
{ "pile_set_name": "DM Mathematics" }
ect the terms in -25*p + 41*p - 6*p - 9*p. p Collect the terms in j + 14*j - 14*j + j. 2*j Collect the terms in -5*v**2 + v + v**2 + 2*v - 2*v**2. -6*v**2 + 3*v Collect the terms in 37*s + 2 - 6*s - 22*s. 9*s + 2 Collect the terms in 12*i**3 + 8*i**3 + 23*i**3. 43*i**3 Collect the terms in -13*j + 66*j - 31*j - 25*j. -...
{ "pile_set_name": "DM Mathematics" }
- (-46)/a). Put g, -3, v in descending order. g, v, -3 Let x = 6.82 - -0.18. Let h = 6.82 - 0.12. Let n = x - h. Put 5, n, 3 in decreasing order. 5, 3, n Let a = 401/136 - 48/17. Put 1/4, -5, -1, a in increasing order. -5, -1, a, 1/4 Suppose 12 = -2*u - 10*u. Let q(z) be the first derivative of -z**2 + 5*z - 3. Let s b...
{ "pile_set_name": "DM Mathematics" }
for x. 0 Solve 3*t + h = -11, -h - 6 = 17*t - 15*t for t. -5 Solve -y + 13 = 3*u + 27, 0 = 3*y + 5*u + 22 for y. 1 Solve 5*g - 4*o = -0*o + 16, o - 17 = -4*g for g. 4 Solve y = -3*v - 28 + 17, -4*v - 15 = y for v. -4 Solve -2*l = 6, t + 3*l + 1 + 4 = 0 for t. 4 Solve -i = -n - 2, -4*n = -5*i + 16 - 4 for i. 4 Solve -35...
{ "pile_set_name": "DM Mathematics" }
4/273) Simplify ((f**22*f*f*f**6)/((f**(-1/2)*f)/(f/f**12)))**(2/7) assuming f is positive. f**(37/7) Simplify (y/y**2)**19*(y**0/y)**(-36)*(y**1)**(1/15)*y**(-1/4)*(y/(y/(y*y/(y/(y**(2/17)*y)))*y))/y assuming y is positive. y**(17273/1020) Simplify ((j*j**(2/21))/j*(j/(j**4*j))/j)**(1/13)*(j*j**(-1))**(2/105)/((j**2/j...
{ "pile_set_name": "DM Mathematics" }
*m + 4*f + 10 = 5*f. Suppose m*o - 2*p + 23 = 0, -2*o - 3*p - 3 = 3*o. Let k(g) = g**2 + 4*g - 2. Give k(o). -5 Suppose -5*z - 2*x + 74 = x, -2*x = 4. Suppose 9 = 5*m - z. Let k(j) = 4*j - 7. Give k(m). 13 Let f(q) = -q + 5. Let p(n) = -2. Let u(l) = -4*f(l) - 10*p(l). Let g = -21 + -1. Let h = g + 24. What is u(h)? 8 ...
{ "pile_set_name": "DM Mathematics" }
when y is divided by 33. 32 Suppose 4*h - 9 = -5. Calculate the remainder when 102 is divided by -1 - h*(-23 - -1). 18 Suppose 0 = -6*n + 15*n - 5166. Calculate the remainder when n is divided by 48. 46 Suppose -12*n + 303 = -669. Let u(a) be the third derivative of -7*a**6/40 - a**5/60 - a**4/24 - a**2. What is the r...
{ "pile_set_name": "DM Mathematics" }
1 Solve 0 = 2*t - 2*o - 2, -4122 + 4127 = 5*o for t. 2 Solve 21*o + g + 52 = 0, -2*o + 2*g = -4*o + 16 for o. -3 Solve 5*c - 22 = -2*y - 62, 30 = 5*c - 5*y for c. -4 Solve -1144 = 5*h - 3*n - 1136, 0 = -h - 3*n - 16 for h. -4 Solve -33853 = x - 3*y - 33846, 4*x - 13*y = -29 for x. -4 Solve -7*k + 9*i + 88 = 7*i, i - 1...
{ "pile_set_name": "DM Mathematics" }
75 rounded to 6 dps? -0.000004 What is -16.3 rounded to one decimal place? -16.3 Round 2608 to the nearest 100. 2600 What is 31652 rounded to the nearest 1000? 32000 What is -1436000 rounded to the nearest one hundred thousand? -1400000 What is -0.00015997 rounded to six decimal places? -0.00016 What is -0.0000043609 r...
{ "pile_set_name": "DM Mathematics" }
). 16*x**3 Let w(c) = -3*c**2 + 5*c - 3. Let z = 263 - 255. Let v(l) = 9*l**2 + z*l - 17*l - 5*l + 8. Give 3*v(g) + 8*w(g). 3*g**2 - 2*g Let u(z) = 124*z. Let i(h) = 372*h. Give -3*i(m) + 10*u(m). 124*m Let c(t) = 7*t + 7. Let b(z) = 4*z + 44. Let h be b(-10). Let o(y) be the second derivative of -y**3 - 3*y**2 + 336*y...
{ "pile_set_name": "DM Mathematics" }
497. 11, 19, 2280403 List the prime factors of 48295649. 47, 1027567 What are the prime factors of 2495537966? 2, 53, 23542811 List the prime factors of 24493022. 2, 17, 23, 31321 What are the prime factors of 91096918? 2, 11, 4140769 What are the prime factors of 36760732? 2, 17, 540599 List the prime factors of 48128...
{ "pile_set_name": "DM Mathematics" }
k*j + j - 2*y = 0, j + 2*y + 6 = 0 for j. 2 Suppose 31*z - 183 - 158 = 0. Solve 3*x - z = p, -p - 2 + 1 = 2*x for p. -5 Suppose 0 = -2*y - l - 139 + 147, 2*y + 5*l = 24. Solve -y*a = -15*z + 11*z + 4, 0 = -a - 4*z - 2 for a. -2 Let r(u) = -5*u**2 + 20*u + 5. Let n be r(4). Solve n*t = 4*l + 14, -5*l - 15 = -2*t - 3*t f...
{ "pile_set_name": "DM Mathematics" }
284370820*p**3 Find the second derivative of -24466075*h**2*u**2 - 21022*h*u - 2*h + 2*u**2 + 12*u wrt h. -48932150*u**2 What is the first derivative of 20270*i*n**2*q*u + 5*i*q**2*u - 13*n**2*q**2*u - 15*n**2*q - 14*n**2 + 2*n*q + 9*n*u wrt i? 20270*n**2*q*u + 5*q**2*u Find the third derivative of 270220529*a**5 - 33*...
{ "pile_set_name": "DM Mathematics" }
of 12834? 8 What is the units digit of 1260? 0 What is the thousands digit of 82310? 2 What is the hundreds digit of 11795? 7 What is the hundreds digit of 1175? 1 What is the units digit of 581? 1 What is the hundreds digit of 315? 3 What is the thousands digit of 15314? 5 What is the tens digit of 558? 5 What is the ...
{ "pile_set_name": "DM Mathematics" }
t from {a: 3, q: 1, u: 1}? 3/20 Four letters picked without replacement from oqsssqsqsq. What is prob of sequence sosq? 1/63 Three letters picked without replacement from kwkkwwkkwkkw. What is prob of sequence www? 1/22 What is prob of sequence vba when three letters picked without replacement from aaaavbv? 4/105 Three...
{ "pile_set_name": "DM Mathematics" }
- 52*i**4 + 5954*i**3 wrt i. -208*i**3 + 1 Let p(l) = 4*l**2 + 4*l - 2. Let n be p(1). What is the third derivative of -8*a**n + 2 - 2 - 15*a**2 - 3*a**2 wrt a? -960*a**3 What is the third derivative of -105*h**3 - 96*h**2 + 97*h**2 + 252*h**3 + 183 + 76*h**3 wrt h? 1338 Let h be 4/(-20) + (-855)/(-25). What is the sec...
{ "pile_set_name": "DM Mathematics" }
- 74*v**2)*(-2 - 2 + 2) + (-4*v**2 - 2 + 2)*(-4 - 3*v + 4)). 36*v**3 Expand (469*o + 264*o - 1256*o)*(1 - 3 - 2*o**4 + 3*o**4). -523*o**5 + 1046*o Expand -c**4 - 3*c**2 + 3*c**2 + 91*c**4 - 36*c**4 - 22*c**4 + (0*c + 3*c**3 + 0*c)*(-25 - 5*c + 25) + 0*c**2 - 4*c**4 + 0*c**2. 13*c**4 Expand 1726*i + 18599*i + 7505*i + ...
{ "pile_set_name": "DM Mathematics" }
or of 228 and 2128. 76 Calculate the greatest common factor of 198 and 5302. 22 What is the highest common divisor of 2415 and 7935? 345 Calculate the greatest common factor of 8 and 388. 4 Calculate the greatest common factor of 464 and 1740. 116 What is the highest common factor of 704 and 451? 11 Calculate the great...
{ "pile_set_name": "DM Mathematics" }
Simplify ((sqrt(11) - (sqrt(11) - (sqrt(11) + 0 + -5) - sqrt(11)))*3 + ((sqrt(704) - sqrt(704)*-2)*-1 - sqrt(704)))**2. 780*sqrt(11) + 7661 Simplify (-1 + 3*sqrt(11))**2*-2. -200 + 12*sqrt(11) Simplify 5*-2*sqrt(325)*2. -100*sqrt(13) Simplify (0 + 2*(sqrt(11) - (1*sqrt(1100) + sqrt(1100))))**2. 15884 Simplify -4*(sqrt...
{ "pile_set_name": "DM Mathematics" }
or of 3431142 and 2365. 473 Calculate the greatest common divisor of 3050 and 104188. 122 Calculate the highest common factor of 17841 and 4541. 19 What is the highest common divisor of 76041 and 189? 63 What is the highest common factor of 704274 and 5485? 1097 What is the highest common factor of 9542 and 114871? 367...
{ "pile_set_name": "DM Mathematics" }
is divided by 74. 66 What is the remainder when 105 is divided by 3? 0 What is the remainder when 663 is divided by 74? 71 What is the remainder when 35 is divided by 13? 9 Calculate the remainder when 779 is divided by 27. 23 What is the remainder when 910 is divided by 16? 14 What is the remainder when 1801 is divide...
{ "pile_set_name": "DM Mathematics" }
prob of picking 4 b. 33/91 Calculate prob of picking 2 b when two letters picked without replacement from brbbbbbb. 3/4 Calculate prob of picking 2 t and 1 b when three letters picked without replacement from bbttbbt. 12/35 Calculate prob of picking 1 g and 1 h when two letters picked without replacement from dhdhdhqdd...
{ "pile_set_name": "DM Mathematics" }
(-18)/(-6)) is divided by m. 8 Let y = 92 - 85. Suppose y*t - 4*t - 9 = 0. What is the remainder when 35 is divided by t? 2 Let q(h) = -78*h**3 - 9*h**2 - 3*h - 21. What is the remainder when q(-4) is divided by 110? 109 Suppose 2*p + 27*n - 1440 = 23*n, 0 = -p + n + 732. Calculate the remainder when p is divided by 24...
{ "pile_set_name": "DM Mathematics" }
vative of -231*c**2 + 293*c wrt c. -462 What is the second derivative of 23*c**4*y**3 + c**4*y**2 - c*y**3 - c*y wrt c? 276*c**2*y**3 + 12*c**2*y**2 Find the first derivative of b**2*f + 2*b**2*j*r - 3*b**2*j - 16*b*f*r + 2*b*j*r - 2*b + 3*f*j wrt f. b**2 - 16*b*r + 3*j What is the second derivative of 220*p**4 + 159*p...
{ "pile_set_name": "DM Mathematics" }
highest common divisor of 23 and 621. 23 What is the highest common factor of 33 and 1177? 11 Calculate the greatest common divisor of 555 and 4107. 111 What is the greatest common factor of 237 and 1817? 79 Calculate the greatest common factor of 121 and 187. 11 What is the greatest common factor of 531 and 13629? 17...
{ "pile_set_name": "DM Mathematics" }
= -4*n + 4, 3*n - 6*v + 3*v - 12 = 0 for n. 0 Solve -2 = -j - 3*a, -3*j - 10 = 5*a - 12 for j. -1 Solve -2*l + 7 = -3*u + 18, u = -4*l + 13 for l. 2 Solve 4*v + 5*q = 30, 4*v - 26 = 3*q - 6*q for v. 5 Solve 5*r - 4*i = -35, 2*i = -5*r + 2*r + 1 for r. -3 Solve 3*o = 4*z - 25, -27*z - 4*o - 20 = -29*z for z. 4 Solve -3...
{ "pile_set_name": "DM Mathematics" }
ding order. -177, -1, 1, 2, 4 Sort -5, 2, 4, 6 in ascending order. -5, 2, 4, 6 Put -1, -3.2, 10, -1/3, -2 in decreasing order. 10, -1/3, -1, -2, -3.2 Sort 2/7, -10/11, -11, 5. -11, -10/11, 2/7, 5 Put 3, -5, -13 in descending order. 3, -5, -13 Sort 0.3, 10, 0, 15, 0.2 in increasing order. 0, 0.2, 0.3, 10, 15 Put -33, -3...
{ "pile_set_name": "DM Mathematics" }
+ p + p + 59*p**4 - 164 - 61*p**4 to i*p**4 + l*p**2 + o*p + x + u*p**3 and give u. 0 Rearrange ((4 - 5 + 0)*(-1 - 2 + 2) - 4 + 10 - 4 + (-1 + 4 - 1)*(5 - 6 - 1) - 1 + 1 + 32)*(-25 + 12 + 9 + 2*g) to s + c*g and give s. -124 Express (2*r**2 - 5*r**2 + 2*r**2)*(r**2 + 3*r**2 - 5*r**2) - 538*r**3 - 79*r**4 + 174*r**4 + ...
{ "pile_set_name": "DM Mathematics" }
x)*x**(-1/14)) assuming x is positive. x**(-2483/126) Simplify (((q/(q**(-10)/q))/q)/q*q/((q/q**(2/19))/q)*(q**(2/5))**(2/83))**(-42) assuming q is positive. q**(-3680922/7885) Simplify (((b*b/(b/((b/(b**7*b))/b))*b)/b)/b)/(b*b**(-2/3)/b*b*b)*(b**(-1)*b)/(b/b**9) assuming b is positive. b**(-4/3) Simplify ((w**(-7/4)/w...
{ "pile_set_name": "DM Mathematics" }
0 as h*v**3 + o*v + p + x*v**2 + t*v**4 and give o. 2 Rearrange (-2*a + 0*a + a)*(-30 - 22 + 261) to b*a + p and give b. -209 Express -35 + 47 - 37 + a**2 as k + u*a + r*a**2 and give k. -25 Express 0 + 21*k**2 - 1 - 23*k**2 - 5*k**3 + 4*k**3 - 4*k as j*k**3 + c*k**2 + a + g*k and give g. -4 Rearrange -i**3 - 7*i**3 - ...
{ "pile_set_name": "DM Mathematics" }
y, w, -2 Suppose -2*j + 5*n - 5 + 27 = 0, 4*j - 28 = 2*n. Let r be (6 - 1)*j/(-10). Let q be 1/4 - (-26)/(-40). Sort 0, r, q in increasing order. r, q, 0 Let k = 0.003 + -5.003. Let q = 13.4 + -13.4. Put k, 0.13, q in descending order. 0.13, q, k Let y = 5 + -11. Let i = -6 + 92. Let w = -89 + i. Sort y, w, -3/8. y, w,...
{ "pile_set_name": "DM Mathematics" }
replacement from dsdppddspp. What is prob of picking 1 s and 1 p? 8/45 Three letters picked without replacement from {l: 2, m: 5, o: 6, y: 2, h: 1}. Give prob of picking 1 y, 1 h, and 1 o. 3/140 Two letters picked without replacement from kddkpddddkk. Give prob of picking 2 d. 3/11 What is prob of picking 4 i when fou...
{ "pile_set_name": "DM Mathematics" }
c = 4.07 + -0.07. Let m = 166/3 + -56. Sort c, m, 5 in decreasing order. 5, c, m Suppose 3*k - 20 = -g, -6*g + g = -5*k. Suppose -3*t + 4*p = -p + 40, 2*t + 2*p = 0. Sort 0, t, g in descending order. g, 0, t Suppose -2*t = 1 + 5. Let v(p) = 3*p - 3 + 4 - p + 1. Let q be v(-3). Put t, q, 2 in increasing order. q, t, 2 L...
{ "pile_set_name": "DM Mathematics" }
2 Let o(m) = -m**3 - 2*m**2 - 2*m + 1. Let y be o(-2). Let k(d) = 464*d - 11. Let r(w) = -1114*w + 28. Let i(f) = -12*k(f) - 5*r(f). Give i(y). 2 Let k = 7840 - 7822. Let f(q) = -q**3 + 17*q**2 + 11*q - 1. Determine f(k). -127 Let l(g) = -g**3 - 2*g**2 + g - 1. Let x = 38 + -30. Suppose 0 = n - 3*n - x. Let o be (-2)/(...
{ "pile_set_name": "DM Mathematics" }
2 1 Evaluate -4 + -3 + (2 - -1). -4 What is 2 - 4 - (0 + 1 + -8)? 5 What is the value of -3 + 0 - (2 + -10 + 2)? 3 -51 + 46 + (-13 - 0) - -7 -11 What is the value of -92 + 96 + (2 - 2) + -3? 1 Evaluate 9 - ((11 - 3) + -4). 5 Calculate 1 - (-2 + (-2 - -2)). 3 What is the value of -21 - -24 - (-1 + 1)? 3 Calculate (3 - (...
{ "pile_set_name": "DM Mathematics" }
- 3*b**2/2 + 2. Give r(-2). -2 Let t(j) = -2*j**3 + 2*j**3 + 5*j**2 - 2 + 2*j**3 - j. Let y(m) = -8*m**3 - 21*m**2 + 5*m + 9. Let p(g) = -9*t(g) - 2*y(g). Calculate p(-2). 6 Let g be (2/3)/(2/3). Let b be (g - -1) + -1 + 1. Suppose b*i - 4*s = -10, 2*s - 12 = 3*i - s. Let y(l) = 2*l**2 + 5*l + 3. Calculate y(i). 6 Let ...
{ "pile_set_name": "DM Mathematics" }
39709.04 Sum -0.2 and 20473512. 20473511.8 49+-0.062318 48.937682 What is the difference between -5 and -472512? 472507 What is -387825 take away 0.20827? -387825.20827 Total of 72306908 and -0.6. 72306907.4 1825847 + 0.203 1825847.203 Work out -4178 - -16.91. -4161.09 What is 26 + -0.0721521? 25.9278479 Calculate 15.9...
{ "pile_set_name": "DM Mathematics" }
1/9520 Calculate prob of sequence kf when two letters picked without replacement from {k: 1, f: 11, s: 7}. 11/342 Three letters picked without replacement from {h: 4, r: 4, g: 1, t: 1, c: 3, a: 2}. What is prob of sequence hgt? 2/1365 What is prob of sequence kppk when four letters picked without replacement from ipkp...
{ "pile_set_name": "DM Mathematics" }
/240)/(11/132)? 9 Evaluate (16/12)/((-3456)/486). -3/16 Evaluate (-2268)/(-378)*1/(-2). -3 What is 266/(-931)*(-49)/(-5)? -14/5 (0*4/36)/(8/(-4)) 0 What is the value of ((0/18)/(-2))/(-13)? 0 What is the value of (-15)/2430*12*66/11? -4/9 What is the value of (((-1007)/399)/53)/(49/(-21))? 1/49 (((-768)/56)/(-8))/((12/...
{ "pile_set_name": "DM Mathematics" }
-5, d, v Suppose -1 = 4*x + 3*v, 0 = -7*x + 3*x + 4*v - 36. Sort x, 1, 3 in decreasing order. 3, 1, x Let t = 1109/24 - 275/6. Let n = -0.114 - -0.414. Put -0.1, n, t in increasing order. -0.1, n, t Let n be 0*4/(-12) - -3. Let v = 9 + -1. Suppose 0 = w - n*w - v. Put w, -3, -2 in decreasing order. -2, -3, w Let a = -0...
{ "pile_set_name": "DM Mathematics" }
j*n(l) - 3*k(l). -4*l + 2 Let z(d) = -88*d**3 + 5*d**2 - 10*d - 7. Let f(l) = -88*l**3 + 6*l**2 - 12*l - 8. Give 5*f(u) - 6*z(u). 88*u**3 + 2 Let f = 656 + -667. Suppose 5*m - 3 = -23. Let y(g) = 6*g**2 - g - 2. Let a(r) = -17*r**2 + 3*r + 5. Calculate f*y(l) + m*a(l). 2*l**2 - l + 2 Let d(k) = -k**2 - 2*k + 2. Let a b...
{ "pile_set_name": "DM Mathematics" }
d k(-7). 3 Let o(v) = -v + 3. Let c be o(8). Let n(q) = 3*q + 17. Suppose 0 = 2*j + 3*f + 2*f - 9, -5*j + 75 = -5*f. Calculate the smallest common multiple of j and n(c). 12 Let w(l) = 77*l**2 + 32*l + 61. What is the smallest common multiple of 40 and w(-2)? 2440 Let s(t) = -t**2 + 4*t + 3. Let d be s(7). Calculate th...
{ "pile_set_name": "DM Mathematics" }
y 159? -3638 Divide 11 by -232856. -11/232856 -51350 divided by 158 -325 Calculate 439098 divided by -1. -439098 Divide -46322 by 2. -23161 Divide 836418 by 1. 836418 What is 423731 divided by 2? 423731/2 Calculate -713537 divided by 5897. -121 Calculate -4 divided by -5177. 4/5177 What is -16 divided by 532? -4/133 Ca...
{ "pile_set_name": "DM Mathematics" }
Solve -13 = 2*a + b, 108*b + 17 = -a + 104*b for a. -5 Solve 0 = 4*h - d + 19, -4*h - 16 - 6 = 2*d for h. -5 Solve -3*h + 5*n = -2, 10*h - n - 10 = 7*h for h. 4 Solve 311*o - 5*j = 314*o + 5, -2*j = -o - 9 for o. -5 Solve -l + 0*u = 2*u + 2, 2*u - 2 = 0 for l. -4 Solve 0 = g + v, -427*g + 423*g + 3*v - 7 = 0 for g. -1 ...
{ "pile_set_name": "DM Mathematics" }
te the remainder when 9356212 is divided by 304. 4 What is the remainder when 28503041 is divided by 143? 138 What is the remainder when 12332284 is divided by 1567? 1561 What is the remainder when 610556 is divided by 13876? 12 What is the remainder when 146127 is divided by 2173? 536 What is the remainder when 108273...
{ "pile_set_name": "DM Mathematics" }
2117? g Let d = 261548293/23331 + -33631/3. Is d smaller than 0? False Let z be 3/(-69)*2/4. Suppose 345*t - 139*t = 206. Is z at most t? True Let u be (-778216)/(-4272)*(-31 - (1 - 0)). Which is smaller: u or -5828? u Let f = -402992/133 + 3030. Which is smaller: f or 11/2? f Let y = 23 - 8. Let f be (y - 4)/(2/(-10)...
{ "pile_set_name": "DM Mathematics" }
mplify (((h**(-6/7)*h)/h*h**(1/17))**(35/4))**(-21) assuming h is positive. h**(9975/68) Simplify (a**(-1))**(-25)/(a**(-1/5)*a*a**(-2))*(a**(-12)/(a*a**13))**(-38) assuming a is positive. a**(5071/5) Simplify ((m*m**8*m*m/(m**(-1)*m))/((m*(m*m*m**7)/m)/(m/(m*(m**(1/6)/m)/m))))/((m**(-1)*m)**(-2/33)/((m*m**(-7)*m)/m**(...
{ "pile_set_name": "DM Mathematics" }
t - 219 = -l*t. Let m = u - -73. Solve m*a = -3*a for a. 0 Let w(l) = -6*l + 88. Let s be w(13). Suppose -11*o = -s*o - 12. Solve o = -6*m + 3*m for m. -4 Let v(d) = d**3 + 5*d**2. Let a be v(-5). Suppose a = 4*l + 4*w - 28, -2*w + 6*w = -2*l + 22. Suppose -154*z + 156*z = 34. Solve z - 5 = -l*y for y. -4 Suppose 10*k ...
{ "pile_set_name": "DM Mathematics" }
q - 28 = -v for q. -5 Suppose -232*y + 122*y = -121*y. Solve y = 16*o + 89 - 25 for o. -4 Let o be (48/(-18)*-2)/(-8*(-3)/72). Solve 1 = -5*z + o for z. 3 Let o = -199 - -202. Suppose 0 = -5*y + 74 + 36. Solve -19*n + y*n = -o for n. -1 Let b be 1*9 - (15 - (29 - 15)). Solve b*q - 39 = 1 for q. 5 Let c be (-1188)/135 +...
{ "pile_set_name": "DM Mathematics" }
What is the value of 1/1*(-4)/(-2)*(-5)/(-2)? 5 Evaluate (78/208)/((-4)/((-384)/9)). 4 Calculate (-104)/(-8)*115/(-115). -13 What is 238/(-136)*(-6)/(-7)*22/(-3)? 11 What is ((-54)/9234*36)/((-12)/(-2))? -2/57 What is the value of ((-2)/(-6))/(((-3)/(-72)*-8)/(-4))? 4 70*(-5)/(-210)*-15 -25 What is the value of ((-4)/(...
{ "pile_set_name": "DM Mathematics" }
3)/36*-4). -3 -9*((-480)/45)/(-16) -6 Calculate (174/(-203))/(2/14). -6 Calculate ((-8)/18)/((-28)/126). 2 Calculate (1/(-3))/(-1*2/18). 3 5*10/(-25)*(-12)/8 3 (-1)/(1/1)*(-9)/3 3 What is ((-65)/(-650))/((-1)/6)? -3/5 What is the value of 60/(-100)*15/18? -1/2 1/((-8)/(-280)*5) 7 Calculate ((-1)/(-6))/(195/260). 2/9 Wh...
{ "pile_set_name": "DM Mathematics" }
68))/((-3)/(-10)). Solve 2*o - h = -0 for o. 8 Suppose 0 = 3*v + 4*v + 137 - 165. Solve 8*a - v - 20 = 0 for a. 3 Let u = -79 - -98. Suppose -u*t = 7*t - 52. Solve -x + t*x = 1 for x. 1 Suppose -5*t = b + 61, 4*t + 77 = -t + 3*b. Let p = t - -13. Solve -o + p*o - 2 = 0 for o. -2 Let w be ((-39)/195)/((-1)/10). Suppose ...
{ "pile_set_name": "DM Mathematics" }
est integer? 25 What is 10413026 to the power of 1/2, to the nearest integer? 3227 What is 479940 to the power of 1/2, to the nearest integer? 693 What is the tenth root of 12113392 to the nearest integer? 5 What is the third root of 2946463 to the nearest integer? 143 What is the seventh root of 94393 to the nearest i...
{ "pile_set_name": "DM Mathematics" }
) + 12 + 17*y - 12 to the form l + f*y and give f. 23 Rearrange (0*f + f + 0*f)*(-127 + 19 - 136 + 2)*(2*f - 2*f - 2*f) to h*f**2 + g*f + b and give b. 0 Rearrange (0*a**2 - 4*a**3 + 0*a**2)*(-21 - 5 + 3)*(-2 + 3 + 1)*(4 + 3 - 6)*(4 + a - 4) to i*a**4 + p*a**3 + r + x*a**2 + f*a and give i. 184 Express (-17*l**3 - 7*l*...
{ "pile_set_name": "DM Mathematics" }
arest integer? 219 What is 107 to the power of 1/7, to the nearest integer? 2 What is 34280 to the power of 1/9, to the nearest integer? 3 What is 454 to the power of 1/2, to the nearest integer? 21 What is the cube root of 180 to the nearest integer? 6 What is the tenth root of 1280 to the nearest integer? 2 What is t...
{ "pile_set_name": "DM Mathematics" }
17750 What is five eighths of a tonne in kilograms? 625 What is 7/8 of a litre in millilitres? 875 How many milligrams are there in 5870.444kg? 5870444000 Convert 9406.859mg to kilograms. 0.009406859 What is twenty-one halves of a micrometer in nanometers? 10500 How many grams are there in 0.3485841 nanograms? 0.00000...
{ "pile_set_name": "DM Mathematics" }
u be -1*q - (3 + -49004). Round u to the nearest 10000. 50000 Let p = -4.2899773 - -4.29. Round p to six decimal places. 0.000023 Suppose -4*c - 8 = 2*a, 0 = 2*a + 2*a - 5*c - 10. Let h be a - -2 - 2 - -300000. Let u be (h/(-14))/1*-154. Round u to the nearest one million. 3000000 Let c = -32.502 + 32. What is c rounde...
{ "pile_set_name": "DM Mathematics" }
.4407 Work out -2668965 - 30617990. -33286955 What is -0.4 - -387206.99906? 387206.59906 Put together 0.68287453655 and -28.2. -27.51712546345 Total of -88862.760991 and -2402. -91264.760991 Work out -6779 + -660970.8. -667749.8 What is 1165145 + -125096424? -123931279 What is 22.7 take away -338255908? 338255930.7 Tot...
{ "pile_set_name": "DM Mathematics" }
Which is bigger: 28984 or -0.1? 28984 Is 169971 at least as big as 1? True Is -2/5 >= 7644? False Which is greater: -81200 or -568401/7? -81200 Is -128 less than 459? True Which is greater: 1/266108 or 1? 1 Is 91181 less than 91181? False Which is greater: 4359 or 4346? 4359 Is -118/87 less than or equal to -3/7? True...
{ "pile_set_name": "DM Mathematics" }
ress -81*p + 8*p**3 - 78*p + 243*p + 2*p**4 - 85*p + 1 + 10*p**3 - 4*p**2 as y*p**3 + h + v*p**2 + g*p**4 + d*p and give d. -1 Rearrange (-5 - 1 + 4)*(4 + 6 + 31)*(-6*t + 3*t + t) to the form o + j*t and give j. 164 Rearrange -5*d + 257 + 0*d + 4*d - d - 45 to r*d + f and give r. -2 Express (n - 4*n + n)*(-2*n + 2*n - ...
{ "pile_set_name": "DM Mathematics" }
5*s - 2*s + 0*s)*(0 - 1 + 3) + 2 + 2*s - 2 in the form v + l*s and give l. -1 Rearrange 2*x - 2*x + 2*x + 5*x - 3*x - 4*x + 4*x - 2*x - 4*x + (1 - 2 - 1)*(-2*x + 2*x + 2*x) + 0*x + 0*x - 4*x + x - 1 + 1 to u + k*x and give k. -9 Express (9*n + 17*n - 3*n)*(0*n**2 + 3*n**2 - 6*n**2) as o*n**3 + t*n**2 + b + u*n and give...
{ "pile_set_name": "DM Mathematics" }
(-1). 137 Let m(t) = 684*t + 7412. Calculate m(-11). -112 Let k(t) = -6*t**3 - 458*t**2 - 173*t - 1599. Determine k(-76). -3 Let u(s) = s**3 + 42*s**2 + 162*s - 2361. Calculate u(-36). -417 Let a(r) = 5*r**3 + 180*r**2 + 353*r + 433. Give a(-34). -9 Let d(z) = -625*z - 4940. Calculate d(-9). 685 Let v(u) = 6*u**2 - 96*...
{ "pile_set_name": "DM Mathematics" }
+ 8*f**2 - 2*f - 12. Let p be j(-8). Let a(h) = -h**3 + 5*h**2 + 4. Let y be a(5). Let n = -18 - -34. Solve -n = -p*m - y for m. 3 Let t be ((-1)/2)/(2/(-8)). Let c(j) = -j**3 - 12*j**2 + 5. Let g be c(-12). Solve t*f = g*f for f. 0 Let m = -18 - -25. Suppose 8*d = m*d + 3. Solve -d*q = -5*q + 2 for q. 1 Suppose -l = ...
{ "pile_set_name": "DM Mathematics" }
greatest common factor of 675 and 1875? 75 What is the greatest common divisor of 12135 and 2970? 15 What is the highest common factor of 435624 and 24? 24 Calculate the greatest common divisor of 22 and 61358. 22 What is the greatest common factor of 135 and 76140? 135 What is the greatest common factor of 29 and 1223...
{ "pile_set_name": "DM Mathematics" }
a prime number? True Is (-994)/(-2) - -1 - 1 a composite number? True Let o(h) = -4*h**3 - 2*h**2 + 6*h + 2. Is o(-3) a composite number? True Suppose 3*u - 3*v = 2*u + 3250, 9711 = 3*u + 4*v. Is u composite? True Let k(p) = 2*p**2 - 3*p. Suppose 5*b + 10 + 3 = -3*h, 2*h - 3*b - 23 = 0. Let u be k(h). Suppose o = -o +...
{ "pile_set_name": "DM Mathematics" }