text
stringlengths
270
8.19k
meta
dict
-33353 = -5*l + 4*z, 2*l + 3*z = l + 6682. Is l composite? False Let g = 6 + -2. Suppose -g*x = 2*z - 22, x + 3*x = 5*z + 15. Suppose -4*w = -x*p - 114, -w + 8*p - 3*p + 21 = 0. Is w a prime number? True Let r be 38/6 + (-2)/(-3). Let h(s) be the first derivative of 6*s**2 - 10*s + 11. Is h(r) a prime number? False Su...
{ "pile_set_name": "DM Mathematics" }
Is 5333897 prime? True Is 98381441 a composite number? False Is 34970267 a prime number? True Is 463247 composite? False Is 84811719 prime? False Is 10226371 a composite number? False Is 12145589 a composite number? False Is 591547111 a composite number? False Is 12194149 a prime number? False Is 221440937 a prime num...
{ "pile_set_name": "DM Mathematics" }
value in 33069.9, -0.5, 1, 3, -4, -5? -4 What is the third biggest value in 4807, -4, -1/4, 3/5, 2/13, -0.3? 2/13 Which is the third smallest value? (a) 9 (b) -15775.71 (c) -3 a What is the second smallest value in 5, 1/65, -4, -10, 73? -4 What is the third smallest value in 11/3, -1, -80/1041, -1/7? -80/1041 Which...
{ "pile_set_name": "DM Mathematics" }
9, -4*j + 28 = t + t. Suppose -1 = j*g - 3*f - 10, -15 = g + 5*f. Let n be (10/3 - -2)*14217/9478. Solve -2*y - n = -g for y. -4 Let f(a) = 28*a - 10. Let l be 5 + (-54)/6 - -5. Let x be f(l). Solve -5*k = x - 3 for k. -3 Let g(s) = -17*s - 13. Let c be (-2)/(-7) + 2 + 220/(-35). Let r be g(c). Suppose 0 = -53*q + r*q...
{ "pile_set_name": "DM Mathematics" }
rivative of o**3/3 + 2*o**2 - 12*o - 4. Let z be v(-6). Differentiate n - 5 + z - 2*n with respect to n. -1 Let d(p) = -p**3 + 5*p**2 + 21*p - 11. Let t(l) = l**2 + 3*l - 1. Let g = 281 + -295. Let k(r) = g*t(r) + 2*d(r). Differentiate k(f) wrt f. -6*f**2 - 8*f Differentiate 8*a + 14 + 17295*a**2 - 22 - 17288*a**2 with...
{ "pile_set_name": "DM Mathematics" }
icking 1 h and 2 t when three letters picked without replacement from hhhteteget. 3/40 Three letters picked without replacement from {r: 16, x: 2}. What is prob of picking 2 x and 1 r? 1/51 Two letters picked without replacement from nhnhhhhrrrhrhhhhrr. Give prob of picking 1 n and 1 r. 4/51 Two letters picked without ...
{ "pile_set_name": "DM Mathematics" }
is 5 divided by -3637? -5/3637 -1923 divided by -641 3 Divide -41460 by -6. 6910 Calculate -5 divided by -127. 5/127 Divide -1425 by -75. 19 Calculate 0 divided by 69. 0 21 divided by -9 -7/3 102 divided by 5 102/5 Calculate -10108 divided by 133. -76 Calculate 57 divided by -19. -3 -5766 divided by 6 -961 Calculate -1...
{ "pile_set_name": "DM Mathematics" }
i. What is w rounded to the nearest 10? 220 Let u(a) be the first derivative of 1377*a**4/2 + 4*a**3/3 + 14*a**2 - 14*a + 12. Let h be u(7). What is h rounded to the nearest 100000? 900000 Let n = -9867 + -672. Let d = n + 7339. Round d to the nearest 1000. -3000 Let k = -13.596178 + 0.029878. What is k rounded to one ...
{ "pile_set_name": "DM Mathematics" }
)). Solve -4*u - 3 = -v for u. 4 Let l be (-24)/(-20) + -1 + 15428/35. Let h = -441 + l. Solve k - 3 - 2 = h for k. 5 Suppose 3*u - u + 3*u = 0. Let p(q) = 10*q - 33. Let y be p(4). Let v be 5/(5/(-4))*y/(-14). Solve v*k - 2 = -u*k for k. 1 Let h(v) = 6*v + 5. Let q be h(5). Suppose -5*l + q = 5*c, -2*l - 41 + 15 = -2*...
{ "pile_set_name": "DM Mathematics" }
2*4 50 What is the value of (-5)/28*(-23499)/100710? 1/24 Evaluate (-20)/6*(55/(220/24))/((-150)/390). 52 (-3*3/(-54))/(8/48)*(-594)/11 -54 (32/(-52))/(1373/107094) -48 (-136)/459*(-2289)/872 7/9 What is the value of 2574/1001*-2*(-49)/6? 42 What is (3/2)/((-153)/20*220/264)? -4/17 Calculate ((-280)/21)/((-25)/(-800)*1...
{ "pile_set_name": "DM Mathematics" }
95998 What is the distance between -11.1 and -951951? 951939.9 Add together 6759 and 0.031637. 6759.031637 Work out -167.609349 - 0.4. -168.009349 Calculate -1755718 - -413. -1755305 3 + 824073598 824073601 269952.9+-271 269681.9 1 - 525.36783 -524.36783 Work out -0.92627897 - 0.4. -1.32627897 Add -3 and -9069929. -906...
{ "pile_set_name": "DM Mathematics" }
3 + 9 - 3 + 5 + (-2 + 1 + 0)*(-5 + 2 + 1))*(1 - 6 + 3) to a + f*z and give f. 48 Express 30*v - 27*v + 5*v**3 - 6*v**3 in the form r*v**3 + c*v + o*v**2 + q and give r. -1 Rearrange (-96 + 96 + 2*n - 2*n**2)*(1 + 1 - 8) to the form z*n**2 + h + t*n and give z. 12 Express v**3 + 2 - 179*v - 3*v**2 + 178*v - 2*v**4 + 2*v...
{ "pile_set_name": "DM Mathematics" }
ange (33 - 742 + 32 - 302)*(-g - g + 5*g) to z*g + w and give z. -2937 Rearrange (64 - 65 + 1 + 4355*z)*(3 + 3 - 5)*(2*z - 6*z - z) to u + m*z + x*z**2 and give x. -21775 Rearrange 1166*z - 3*z**2 - z**2 - 1156*z - 10 + 1 + 5 to the form g*z + l*z**2 + m and give g. 10 Rearrange 13418653*m**2 - 13416478*m**2 + 2 - 4 to...
{ "pile_set_name": "DM Mathematics" }
40148 What is the third root of 138714602 to the nearest integer? 518 What is the square root of 68865274 to the nearest integer? 8299 What is the third root of 72864953 to the nearest integer? 418 What is 50202677 to the power of 1/3, to the nearest integer? 369 What is 1713316224 to the power of 1/3, to the nearest i...
{ "pile_set_name": "DM Mathematics" }
4 = -4*f + 4, 0 = -2*x - 4*f - 20. Let i = 4 + x. Solve p + 3*g = 10, 2*p + 0*g + 2*g = i for p. -5 Let w = 15 + -8. Solve -2*h - 26 + w = 3*c, -2*h + 2 = -4*c for h. -5 Suppose 0 = 4*w - 3*s - 11, -w + 4*s = w + 2. Solve -2*y + 4*y - 4 = 2*a, -3*y = w*a + 26 for y. -2 Let z be (-2)/(-2) - (0 + 0). Suppose -2*d + z = ...
{ "pile_set_name": "DM Mathematics" }
05 In base 3, what is -1010002111112200 + 1110? -1010002111111020 In base 5, what is 2114 - 1124133014? -1124130400 In base 13, what is 315 - -58447? 5875c In base 14, what is -989d - -301b? -6882 In base 15, what is -4380411 - -1e? -43803e2 In base 2, what is -10010010011 + 100111110100? 10101100001 In base 12, what i...
{ "pile_set_name": "DM Mathematics" }
se b + 35 = u. Is u composite? False Let h = 8 + -5. Suppose 6*l - l = -3*q + 31, -h*l + 7 = -4*q. Suppose 0*k + q*n - 15 = -k, 3*n - 3 = 0. Is k prime? True Let w be (-636)/(-10) + 6/15. Let h = -6 + w. Is h a composite number? True Is 2/(4 - 2)*191 prime? True Let a be ((-1)/2)/((-2)/4). Let r = a + 1. Let x = r - -4...
{ "pile_set_name": "DM Mathematics" }
r of (-24)/35*10/n and -42/11? 77 Suppose 4*y + 20 = 4*b, -b = -6*b + 25. Suppose -l + 2 = -y. What is the common denominator of (-40)/6 + l/9 and 52/3? 9 Suppose 5 = 5*p - 3*t, 0*p + 3*t = -p + 19. Let r = -94411/28446 + 1/1293. Find the common denominator of r and (-492)/(-112) + 1/p. 154 Suppose -a = -2*a - 4*g + 21...
{ "pile_set_name": "DM Mathematics" }
h - -7. Sort t, 4, 5. t, 4, 5 Let x = -9.9 + -3.1. Let j = -41.5 - -29. Let m = j - x. Sort -1, m, -0.1 in descending order. m, -0.1, -1 Let u = 0.07 - -0.23. Let y = -1.7 - u. Sort y, 2/19, -1 in increasing order. y, -1, 2/19 Let w = -15 + 10. Let c(m) = m**3 - 8*m**2 - 7*m - 17. Let g be c(9). Let i = 6 - 8. Sort w,...
{ "pile_set_name": "DM Mathematics" }
ence zb. 2/45 What is prob of sequence pj when two letters picked without replacement from {k: 1, c: 3, p: 2, j: 3, r: 1, z: 1}? 3/55 Two letters picked without replacement from {a: 2, h: 1, x: 1, i: 2}. What is prob of sequence ax? 1/15 Four letters picked without replacement from {x: 5, d: 11}. Give prob of sequence ...
{ "pile_set_name": "DM Mathematics" }
2). Solve -t*o + 0*o = s for o. 0 Suppose 0 = y - 14 - 1. Solve y = 4*x - 1 for x. 4 Let t(q) be the second derivative of q**3/6 - 2*q**2 + 2*q. Let n be t(2). Let r be (-4*(n - -1))/2. Solve -o - 5 = -r for o. -3 Let z be 87/27 + 8/(-36). Let x(y) = -y**3 - y**2 - 2*y. Let o be x(-3). Suppose -o = -5*w - p + 5*p, -4*w...
{ "pile_set_name": "DM Mathematics" }
8*j - 4. What is w(c)? -5 Let n(v) = v**3 - 22*v**2 + 21*v - 4. Suppose -u - 69 = -3*g, -5*g + 3*u + 117 = u. Calculate n(g). -4 Let d(x) = -5*x**3 + 7*x**2 + 10*x - 1. Let t = -186 - -177. Let f(u) = 11*u**3 - 15*u**2 - 21*u + 1. Let n(i) = t*d(i) - 4*f(i). Give n(4). -3 Suppose -4*c + c = -24. Let g = -39 - -43. Let ...
{ "pile_set_name": "DM Mathematics" }
Let z(y) = 24*y**2 + 4*y**r - 3*y**3 + 27*y**2 - 2 + 3*y - 56*y**2. What is z(j)? -8 Let w(h) = 4*h + 28. Suppose -5*o - 35 = y, 157*y - 161*y - 44 = 4*o. Determine w(o). 4 Let a = -369 - -186. Let b = 186 + a. Let k(p) = p**2 - 3*p + 3. Determine k(b). 3 Let m = 2322 - 2308. Let k(u) = -5 - 4 + 2*u + 0 - u. Give k(m)...
{ "pile_set_name": "DM Mathematics" }
(6). Solve -4*p = -t*n + v, 5*p + 2 + 12 = 3*n for n. -2 Suppose -3*v + 268 = 54*v + 10*v. Solve -j = -v*t - 2*j + 6, -3 = 3*t - 3*j for t. 1 Let j(r) be the third derivative of r**5/60 + 5*r**4/24 + 11*r**3/6 + 50*r**2. Let a be j(-3). Solve -5 = -5*b, a*d - 4*b - 10 = b for d. 3 Let r(n) = -45*n**3 - n**2 - 4*n - 2. ...
{ "pile_set_name": "DM Mathematics" }
3) + 2 + -8 + 7? -1 Evaluate (1 - (8 + 0)) + 7. 0 Calculate 12 - (16 - -3) - (-2 - 0). -5 -19 + 11 + (1 - 0) + -4 -11 Evaluate 5 - (-2 + (6 - 2)). 3 Evaluate -5 + 0 + 6 + -3. -2 Evaluate 8 + (5 - 20) + 7. 0 Evaluate (2 - (4 + -2)) + -1. -1 (2 - 2) + -1 - -2 - 3 -2 What is the value of 4 + (-3 + -2 - 2)? -3 What is the...
{ "pile_set_name": "DM Mathematics" }
when 2 is divided by a(t)? 0 Let w(a) = -a**2 + 6*a. Let o be w(6). Suppose o = 2*p - 34 - 16. Suppose 0*n = n - p. What is the remainder when n is divided by 9? 7 Suppose 2*h = 6*h. Suppose -4*g + 11 = w, -2*w - 2*w + 4*g = -64. Suppose h*z = -z + w. What is the remainder when 29 is divided by z? 14 Suppose -2*t = -t ...
{ "pile_set_name": "DM Mathematics" }
is the tens digit of 10515? 1 What is the tens digit of 662? 6 What is the tens digit of 4434? 3 What is the thousands digit of 17301? 7 What is the units digit of 249? 9 What is the units digit of 1665? 5 What is the tens digit of 2441? 4 What is the tens digit of 2435? 3 What is the units digit of 6842? 2 What is th...
{ "pile_set_name": "DM Mathematics" }
-9 - 4/(-8)*6. What is a(x)? 1 Let s = 357 - 342. Suppose -6*d = -4*d - 5*b + 13, 5*b = -5*d - s. Let i(a) = a**2 + 3*a - 6. Calculate i(d). -2 Let d(k) be the first derivative of -9*k**4/2 + k**3/3 + 2. Suppose 122 = -6*u + 15*u + 113. Give d(u). -17 Let j(q) be the second derivative of q**7/280 + 11*q**4/12 + 2*q. L...
{ "pile_set_name": "DM Mathematics" }
6*c + 6 wrt w? 1082*c**3*w + 87*c*w**2 What is the second derivative of -p*u**2 - 53*p*u + u**5 - 63137*u**3 + 756*u wrt u? -2*p + 20*u**3 - 378822*u Find the third derivative of 2*p**5 - 2297*p**4 + 34923*p**2 wrt p. 120*p**2 - 55128*p Find the third derivative of -1666812*u**3 - u**2 - 66989*u + 3. -10000872 Find the...
{ "pile_set_name": "DM Mathematics" }
is the units digit of h? 8 Suppose 3*m = -f + 46, 0*f = 2*f + m - 107. Suppose 0 = -5*a + 4*n + 90, -f = a - 6*a - 3*n. What is the tens digit of a? 1 Suppose -9*z + 4*z = -20. Suppose -3 = -2*y + 1. What is the units digit of -3 + (z - (-5 + y))? 4 Suppose 10*g = 8*g + 64. What is the units digit of g? 2 Suppose 345 ...
{ "pile_set_name": "DM Mathematics" }
common factor of l and 2? 2 Let r(i) = 96*i**2 - i + 1. Let m be r(1). Suppose 0 = g + 2*g - 36. Calculate the greatest common divisor of m and g. 12 Suppose a = -2*u + 414, 2*u - 2*a - 398 = -7*a. Calculate the greatest common factor of 19 and u. 19 Let l(a) = 5*a - 2. Let w be l(2). Let x be (-990)/(-255) + (-2)/(-1...
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from pppppppppp. 1 What is prob of picking 1 t and 1 m when two letters picked without replacement from wwwttmwmmq? 2/15 Calculate prob of picking 3 y and 1 z when four letters picked without replacement from zyzyyy. 8/15 Calculate prob of picking 2 p and 1 s when three letters picked w...
{ "pile_set_name": "DM Mathematics" }
l + 530*l for l. -5 Solve 2*j = -502*z + 503*z - 5, -3*z = 5*j + 18 for j. -3 Solve -3*j - v = 7, 4*j = -2*v - 3 - 3 for j. -4 Solve 5*z + 7*v + 9 = 3*v, 4*z + 9 = -5*v for z. -1 Solve -5*j + 41 = 4*m, -3*j = m - 4*j + 1 for m. 4 Solve 0 = -c + 5*s - 23, -4*c + s - 18 = -2 for c. -3 Solve 14 = 5*u + 6*s - 3*s, -2*u + 2...
{ "pile_set_name": "DM Mathematics" }
of f. 7 Let l(h) be the second derivative of -h**4/12 + 4*h**3/3 - 9*h**2/2 + 2*h. Let s be l(6). List the prime factors of 3 + 0 + 18/s. 3 Suppose -4*v + 9*v = g - 205, 2*g + 5*v = 455. List the prime factors of g. 2, 5, 11 Let q = 6 - 20. Let m = -7 - q. What are the prime factors of m? 7 Suppose 2*d - 516 = -4*d. Li...
{ "pile_set_name": "DM Mathematics" }
rd derivative of -283*m**2 - 76*m**2 - 115*m**2 + 397*m**4 + 9*m**4 wrt m. 9744*m Let j(k) be the second derivative of -17*k**5/20 + k**3 - 71*k**2 - 3*k + 8. What is the derivative of j(t) wrt t? -51*t**2 + 6 Let k = -80 - -108. What is the first derivative of 16*f**2 + 14 - k*f**2 - 48 + 16*f**2 wrt f? 8*f Let b(h) =...
{ "pile_set_name": "DM Mathematics" }
eplacement from zezeujzzjjejj. 1/715 Two letters picked without replacement from {p: 3, y: 4, r: 1, v: 1, o: 4}. Give prob of picking 1 v and 1 p. 1/26 Three letters picked without replacement from xncexebene. Give prob of picking 2 e and 1 b. 1/20 Two letters picked without replacement from {n: 5, m: 5, h: 5, b: 2, v:...
{ "pile_set_name": "DM Mathematics" }
Simplify ((sqrt(10) + sqrt(30)/sqrt(3) + sqrt(10) - sqrt(10))*3)/(sqrt(200)*2). 3*sqrt(5)/10 Simplify -2*sqrt(242)*-6*1. 132*sqrt(2) Simplify ((sqrt(1053) - (sqrt(1053) - (-4 + sqrt(1053) + -3)))*-6)**2. -4536*sqrt(13) + 39672 Simplify 4*((sqrt(272) - (sqrt(272) + sqrt(272) + 2))*4 + sqrt(272))**2. 768*sqrt(17) + 1004...
{ "pile_set_name": "DM Mathematics" }
earest to 2/3 in 2.84, 2/7, 288, -1/5? 2/7 Which is the nearest to 5? (a) -1/6 (b) -17/6 (c) -512 a Which is the closest to -7/15? (a) -2/21 (b) 2/9 (c) -2 (d) -0.4 (e) 1/73 d Which is the nearest to 2? (a) -27 (b) -7.04 (c) 0.04 c What is the closest to 0.0775 in 1, -4, -1105? 1 What is the nearest to 0 in ...
{ "pile_set_name": "DM Mathematics" }
)/k)**(2/57) assuming k is positive. k**(-14/57) Simplify v/v**(-19)*v**(1/26) assuming v is positive. v**(521/26) Simplify (h**(-12))**(-2) assuming h is positive. h**24 Simplify (l/(l*(l/(l**(-1/4)*l))/l))**(-38)*(l*l**0/l)**(13/2) assuming l is positive. l**(-57/2) Simplify (d/((d*d**(-1/2))/d))**(-7/12)/(d/((d/(d/(...
{ "pile_set_name": "DM Mathematics" }
i**4 + w*i + 0*i**2 + 0*i**3 + 2/7*i**5. 2*i**4*(i + 1)/7 Suppose 38*c = 33 + 43. Factor -1/2 - 3/2*f + 2*f**c. (f - 1)*(4*f + 1)/2 Factor 13*d**3 - 6*d**4 - 17*d**3 - d**2 + 5*d**4 + 6*d. -d*(d - 1)*(d + 2)*(d + 3) Let b(c) be the second derivative of -8/7*c**3 - 6/35*c**5 + 6*c - 13/21*c**4 - 8/7*c**2 - 2/105*c**6 + ...
{ "pile_set_name": "DM Mathematics" }
e z(1). 462 Let w(q) = 2691*q + 995673. Give w(-370). 3 Let j(a) = -102*a**2 + 9685*a + 532. What is j(95)? 57 Let z(g) = -4957*g + 69399. Calculate z(14). 1 Let k(y) = 4*y**2 + 10533*y + 146677. Calculate k(-14). -1 Let b(t) = 3*t**3 + 46*t**2 + 11690*t + 175155. Give b(-15). 30 Let x(a) = 1176*a - 257433. What is x(2...
{ "pile_set_name": "DM Mathematics" }
s the units digit of b? 2 Let c be (1/(-2))/(5/(-10)). Let b = c - -2. Suppose -j = b*o - 0*j - 33, 4*o - 31 = 3*j. What is the units digit of o? 0 Let m(x) = x**3 + 5*x**2 + 6*x. Let h be m(-4). Let k = 23 - 107. What is the units digit of (-2)/(-4) + k/h? 1 Let p(m) = -4*m + m**3 + 0*m + 12 - 9 + 6*m**2. What is the ...
{ "pile_set_name": "DM Mathematics" }
posite? False Is 439709 a composite number? False Is 288907 composite? False Is 1939921 a prime number? False Is 17833 a prime number? False Is 51967 composite? True Is 182639 a prime number? True Is 490619 a prime number? True Is 665507 a composite number? False Is 134741 composite? False Is 11377 a prime number? Fals...
{ "pile_set_name": "DM Mathematics" }
3 Solve 4*r + 17 - 5 = 0, 0 = 15*a + 5*r - 45 for a. 4 Solve -5*z - 12*t = 102 - 42, 20 = -4*z - 4*t for z. 0 Solve -70 = -5*s - 5*a, 5*s + a - 15 = 19 for s. 5 Solve -2*n = 2*c + 8, 6*c - 4 = 351*n - 350*n for c. 0 Solve -g = 2*k - 3, 44*k - 35*k + 4*g - 16 = 0 for k. 4 Solve 6*o + h = 4*o + 12, -13 = -o + 3*h for o....
{ "pile_set_name": "DM Mathematics" }
- 213. -212.8028906 81 + -0.398669 80.601331 What is the difference between 325827 and -19153? 344980 Put together 111676275396 and 0.4. 111676275396.4 -20.34+2430777 2430756.66 Add -15302 and -48842. -64144 What is -44363851 plus 5? -44363846 What is 209720085 minus -0.41? 209720085.41 Total of -0.056 and -60003440. ...
{ "pile_set_name": "DM Mathematics" }
-51 + -1? -52 In base 4, what is -101 + -201? -302 In base 12, what is -879 - 4? -881 In base 9, what is -61 + 112? 41 In base 5, what is -21 - -31? 10 In base 11, what is 33 + -2? 31 In base 12, what is 60b - 2? 609 In base 4, what is 1 - 30130? -30123 In base 13, what is 2 - 35? -33 In base 11, what is -6a + 3? -67 I...
{ "pile_set_name": "DM Mathematics" }
e 11*(-3 + 0 - -8). Find the second derivative of 30*f + 0*f**2 + 12*f**5 + d*f**2 - r*f wrt f. 240*f**3 Let u(j) be the second derivative of 2063*j**4/12 - 359*j**3/2 + 1095*j. What is the second derivative of u(y) wrt y? 4126 Find the second derivative of -211*d**4 + 7*d**3 + 665*d**4 - 268*d - 7*d**3 + 265*d wrt d. ...
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of -v*j**2 + 0*j**3 - 1/2*j**4 + 0*j + 1/20*j**5 + 0. Factor a(y). 3*y*(y - 4) Let s(r) = 3*r**2 - 98*r + 1212. Let o be s(13). Suppose 3*i - 8*i = -15. Determine j, given that -6 + o*j**2 - 415*j**2 - i*j + 0 = 0. -2/5, 1/2 Let q(y) = 5*y**2 - 12*y - 6. Suppose -24*l + 28*l - 4 = 0. Let k(d) ...
{ "pile_set_name": "DM Mathematics" }
hich is the biggest value? (a) 0.7 (b) 0.2 (c) o (d) z d Let z be (9/144*-8)/(1/(-60)). Let q be 2*((-3)/30 + 78/z). Which is the fourth biggest value? (a) 4/3 (b) -1 (c) 0.4 (d) q b Let w = 1.3825 + -1.1825. Which is the third smallest value? (a) -2 (b) -0.1913 (c) w c Let j = 395 + -855. Let v = j + 434. W...
{ "pile_set_name": "DM Mathematics" }
7 What is 25/200 - (-7)/72? 2/9 (2 + 6)/(-64) + (-2)/(-16) 0 What is the value of 62/279 + 40/(-18)? -2 Calculate (-4)/(-120)*-7 - 18/(-45). 1/6 Calculate (288/320)/(6/(-10)) - 1. -5/2 Evaluate (115/(-138))/(-1*5). 1/6 Evaluate -4 + ((-126)/(-30) - 4)*24. 4/5 What is the value of 2/(-1*5/2)? -4/5 What is -1 + (3 + -7 -...
{ "pile_set_name": "DM Mathematics" }
+ -49. Let o = -10 - -14. Suppose 0 = o*h + 6 + 6. Which is the nearest to 2? (a) h (b) p (c) 1 c Let x = -0.03 + 5.03. Suppose 4*d - 70 = -2*h, 2*h - 7*h + 130 = d. Suppose q = k + 3, h = q + 4*q. Which is the nearest to 1? (a) x (b) -1/2 (c) k c Let b = -2/131 - 240/1441. What is the closest to -1 in 0.4, -2/1...
{ "pile_set_name": "DM Mathematics" }
- h. Let v = -31 + y. Is v a multiple of 21? True Let j be (-25)/5 - 1/(-1). Let c = 2 - j. Suppose -c*y + 5*y + 21 = 0. Is y a multiple of 7? True Suppose 5*q = 0, -d + 8*q - 12*q + 1026 = 0. Is 18 a factor of d? True Let d = -9 + 21. Suppose d*i - 11*i = 0. Let h(c) = -c + 18. Does 9 divide h(i)? True Let y = 197 + ...
{ "pile_set_name": "DM Mathematics" }
= -w + 5. Let h be d(0). Suppose -4*q - 15 = h*n, 5*q - 4*n - 15 = n. What is the second biggest value in 0.2, 3/2, q? 0.2 Let z = 215 + -332. Let f = 116.8 + z. Which is the third biggest value? (a) f (b) -2/11 (c) -1/8 a Let k be (-15 + 16)*-3 - (-23)/7. What is the second biggest value in -0.3, -4/7, k, -5/2? -0...
{ "pile_set_name": "DM Mathematics" }
k) = 4*k - 2. Let r be z(5). Let a = r + -13. Suppose 3*n + 3*p = -1 + 7, -3*n = 4*p - a. Solve -2*b + 17 = 5*m, n*b + 32 = -m + 5*m for m. 5 Let w be 4/(-2) - -4 - -3. Solve -w*d - 31 = 2*j, -3*j = d - 2*j + 8 for d. -5 Let q(z) = -z + 1 - 3 + 0. Suppose -3*v - 16 = 4*m, 0 = 2*m - 2*v - 3 + 11. Let h be q(m). Solve -1...
{ "pile_set_name": "DM Mathematics" }
is the units digit of p? 1 Suppose 3*y = 122 - 107. Let v(l) = 3*l**2 + 19*l - 12. Let j be v(y). Let d = -15 + j. What is the hundreds digit of d? 1 Let o(n) = 983*n**2 - 39*n - 226. What is the ten thousands digit of o(-5)? 2 What is the units digit of 22/(-66)*(-1 - -23692)*-1? 7 Suppose 7*i + 7*i = -10*i + 9480. W...
{ "pile_set_name": "DM Mathematics" }
thout replacement from wull. 1/12 What is prob of sequence pvtt when four letters picked without replacement from {p: 5, v: 3, t: 4}? 1/66 What is prob of sequence qp when two letters picked without replacement from pqqpqppqqpppqpqqqpp? 5/19 Two letters picked without replacement from {c: 4, o: 1, u: 6}. Give prob of s...
{ "pile_set_name": "DM Mathematics" }
). -3/20 What is (3 - (-117)/(-21))/((-33)/(-154))? -12 What is (8/(-2))/((-52)/(11*12/(-66)))? -2/13 What is the value of (3 + 42/(-15))*(-360)/432? -1/6 Evaluate (-190)/12 - (-60)/72. -15 -13*(-86)/2795*(-1)/(-10) 1/25 (7 + 78/(-12))/(5 - (-262)/(-52)) -13 What is ((-3)/(4 + -1))/(((-24)/8)/(-6))? -2 What is (1368/92...
{ "pile_set_name": "DM Mathematics" }
*(8/9))**13 assuming x is positive. x**(-10469/45) Simplify ((d**1/d)**(-2/79)/(d**(-1/2)*d**6*d))/((((d**(2/13)/d)/d*d)/(d/(d*(d/d**9)/d)))/((d/d**(-1))/d**(-2/5))) assuming d is positive. d**(747/130) Simplify ((l*l**1*l)**(2/17))**(-1/2)*(((l/(l/(l*(l/(l**(1/2)*l))/l*l)))/l)/l*l*l)**(6/25)*l*l/(l*(l*l**(1/4))/l*l)*l...
{ "pile_set_name": "DM Mathematics" }
rest to d? (a) -1 (b) r (c) -2 b Let h = -70 + 69. What is the nearest to -0.1 in h, 0.4, -0.4? -0.4 Suppose 0 = -5*j - 2*w + 5*w + 25, 20 = -4*w. Which is the closest to j? (a) 5 (b) 3/5 (c) -3 b Let u = -35 + 177/5. Suppose -3*n = -2*n. Which is the nearest to 0? (a) n (b) u (c) -3 a Suppose 5*z = -2*s + 11,...
{ "pile_set_name": "DM Mathematics" }
.7, 0.4, 1/286, -0.3, 1/2? -0.3 Which is the closest to 0? (a) 2 (b) -8 (c) 247 (d) -5 (e) 5/2 a Which is the nearest to -16.2? (a) -4 (b) 3 (c) 2/3 (d) -0.843 a Which is the nearest to -0.1? (a) -33/4 (b) 5 (c) -48/7 (d) -43 b Which is the nearest to -0.22? (a) -0.2 (b) 3 (c) 226203 (d) -3/4 a What is...
{ "pile_set_name": "DM Mathematics" }
b of sequence whf when three letters picked without replacement from {f: 2, h: 3, u: 1, r: 2, w: 1, b: 3}. 1/220 Calculate prob of sequence nbnb when four letters picked without replacement from nbnbnnb. 3/35 What is prob of sequence vv when two letters picked without replacement from {g: 4, b: 3, a: 7, v: 2, x: 1}? 1/...
{ "pile_set_name": "DM Mathematics" }
by 11? 41/11 Divide -998603 by 1. -998603 Divide 116 by -5423. -4/187 -427248 divided by 4968 -86 What is 7721746 divided by 2? 3860873 Calculate 0 divided by -58245. 0 Divide -6 by 55113. -2/18371 What is -1145196 divided by -6? 190866 Divide 353972 by -88493. -4 What is 25 divided by 839? 25/839 212136 divided by 4 5...
{ "pile_set_name": "DM Mathematics" }
5)*(l + 4) Let q = 48751 - 97501/2. Factor 2*n - 6 - q*n**4 + 9/2*n**2 + 0*n**3. -(n - 3)*(n - 1)*(n + 2)**2/2 Solve 0 - 66*t**4 + 21*t - 102/5*t**2 - 9/5*t**5 - 528/5*t**3 = 0 for t. -35, -1, 0, 1/3 Factor -4*j**3 - 4255/2*j - 529/4 - 737/4*j**2. -(j + 23)**2*(16*j + 1)/4 Let q(s) be the second derivative of -1/2*s**6...
{ "pile_set_name": "DM Mathematics" }
termine n*h(s) + r*b(s). s - 1 Let v(j) be the second derivative of -1/10*j**5 - 2/3*j**3 + 0*j**2 - 1/3*j**4 + 0 - 3*j. Let w(n) = n**3 + n**2 + n. Give v(y) + 4*w(y). 2*y**3 Let t be (-1)/((-1 + 3)/(-4)). Let c(g) = -g**2 + 3*g + 1. Let n(w) = 5*w**2 - 13*w - 5. Calculate t*n(u) + 9*c(u). u**2 + u - 1 Let g(u) = 5*u ...
{ "pile_set_name": "DM Mathematics" }
-50/9 and -43/122802? 368406 What is the smallest common multiple of 1794 and 1794? 1794 What is the smallest common multiple of 25212 and 429? 327756 What is the common denominator of 97/880 and -79/23040? 253440 What is the smallest common multiple of 140 and 8050? 16100 Find the common denominator of -119/49524 and...
{ "pile_set_name": "DM Mathematics" }
29 Let r(b) = 206*b + 7. Suppose -4*a - 5*a + 9 = 0. List the prime factors of r(a). 3, 71 Let h = 4436 + -3232. List the prime factors of h. 2, 7, 43 List the prime factors of -4*(930/(-40) + -5). 113 Let u = -24 - -52. Let x = u - -11. What are the prime factors of x? 3, 13 Let t(o) = o**2 + 13*o + 3. Let c(d) = -1. ...
{ "pile_set_name": "DM Mathematics" }
j(-3). Which is the nearest to 4? (a) s (b) 68 (c) 0.5 c Let x = 187/6 - 31. Let u = 15.75 - 10.75. Which is the nearest to x? (a) -2 (b) u (c) 0 c Let g = 2 + 1. Let p be 4/(-6)*g/6. Let c = 133 - 135. What is the closest to 1 in p, 3/5, c? 3/5 Let s be (-2730)/338 + (-2)/(-26). Which is the nearest to 3? (a) -...
{ "pile_set_name": "DM Mathematics" }
uppose -2*u = -3*p + 4, -o*u - 2 = 4*p + 2. Solve p = -3*k + 5*k + 3*s - 11, 10 = 3*k - 2*s for k. 4 Suppose 0 = 5*u - w - 15, 2*w + 9 = 3*u + 7*w. Solve -2*f - u*j = 2*j - 25, -j + 5 = -4*f for f. 0 Let n = 37 + -34. Let g(a) = -a + 11. Let y be g(8). Suppose -y = -v + 6. Solve -n*z + 6 = 0, 0*z = -s + 5*z - v for s. ...
{ "pile_set_name": "DM Mathematics" }
there in 2/27 of a day? 6400 How many minutes are there in 1.8432 weeks? 18579.456 What is 67/5 of a century in years? 1340 How many milligrams are there in 3/5 of a gram? 600 How many minutes are there in 1776260.4 nanoseconds? 0.00002960434 How many millilitres are there in eighteen fifths of a litre? 3600 How many m...
{ "pile_set_name": "DM Mathematics" }
273.9. What is the closest to o in x, -3, 3/5? 3/5 Let u = -46.4 + 46. Which is the nearest to 0? (a) 4/9 (b) 4/3 (c) u c Let c = 256/3 + -87. What is the nearest to -0.1 in 2, -5, c? c Let z = 4 + -7. Let l = -2 + 0. Let h = -1 - l. Which is the closest to 0? (a) z (b) h (c) -5 b Let h be (4/(-8))/(20/(-8)). Wha...
{ "pile_set_name": "DM Mathematics" }
f - -29. Suppose o = 8*a - 1696 + 160. What is the units digit of a? 2 Suppose -94*q + 98*q = -2*m - 1200, -4*q = 0. Let d = 329 - m. What is the units digit of d? 9 Let t = 43914 + -31199. What is the tens digit of t? 1 Suppose 0 = -5*u - t - 1071 - 158, 740 = -3*u + 2*t. Let p be (-12)/(-3) + u/(-3). Suppose 0 = 4*d...
{ "pile_set_name": "DM Mathematics" }
scending order. 3, j, d Let w(j) = -j - 2. Let t be w(-4). Suppose 0 = -0*z - z + t. Suppose z*y - 6 - 6 = x, 3*x = -y - 1. Sort 5, 4, x in decreasing order. 5, 4, x Suppose 0 = 5*o - 2*c, -3*o + 16 = 2*c - 0*c. Suppose -j + 4 = 3*p, -2*p - 2*j = p - o. Sort p, 3, -2 in decreasing order. 3, p, -2 Let q be -1*(-9)/(-21)...
{ "pile_set_name": "DM Mathematics" }
, -3*b - 11 = -4*h for h. 5 Let t be (-135)/(-60) + -1 + (-6)/(-8). Solve 2*c + 5 = -3*g, t*c - 3*c - 7 = 3*g for c. 2 Let w = 0 - -13. Let j = w + -9. Solve 0*l - 1 = l, l = -j*p + 19 for p. 5 Suppose 14*k - 93 = -37. Solve -k*g = -4*t + 16, -2*g + 0*g = -t + 9 for t. -1 Suppose 2*n = -5*v + 23, 3 - 4 = n. Let x = 13 ...
{ "pile_set_name": "DM Mathematics" }
Let n = 120348603797/6880 - 17492530. Let k = 16/43 + n. Let z = -333/2080 - k. Which is smaller: z or -1? -1 Let c = 796 - 1637/2. Suppose 29 = 2*r - 15. Let i = r + c. Is 0.2 less than i? False Suppose -n = -0*n. Are n and 4/9 nonequal? True Let x = -95 + 94. Which is bigger: x or -20/21? -20/21 Let q be (-2)/(((-4)...
{ "pile_set_name": "DM Mathematics" }
+ 32)/3 Let n be (24/(-20))/(8/(-20)) - (-2 + 2). Let a(v) be the first derivative of 15/8*v**2 - n*v + 11/8*v**3 + 29 - 21/32*v**4. Factor a(j). -3*(j - 2)*(j + 1)*(7*j - 4)/8 Let s(m) = 55*m**2 + 360*m + 355. Suppose -14*j + 26*j = -48. Let o(l) = 9*l**2 + 60*l + 59. Let v(y) = j*s(y) + 25*o(y). Factor v(k). 5*(k + 1...
{ "pile_set_name": "DM Mathematics" }
1*m**4 Expand (413 - 413 - 206*t)*(-4*t**2 + 0*t**2 - t**2). 1030*t**3 Expand (77 + 603 + 314)*(2*u**3 + 3*u**3 - 2*u**3). 2982*u**3 Expand -2*l - 3*l**3 + l**3 + 4*l + (10*l**2 - 3*l**2 - 2*l**2)*(89 - 27*l - 89). -137*l**3 + 2*l Expand (-14*i - 15*i + 114*i)*(-104*i**2 + 2*i + 104*i**2 + 7*i**3 + (2*i - 2*i - 2*i)*(2...
{ "pile_set_name": "DM Mathematics" }
ose 3*s - 24 = 6. Solve 0 = 7*o - 2*o - s for o. 2 Let q be ((-1)/3)/(9/(-54)). Solve q = -3*a - 1 for a. -1 Let l = 0 - -4. Let c(u) = -u**3 + 5*u**2 - 4*u + 3. Let v be c(l). Solve 4*r = -v + 15 for r. 3 Let f = 23 + -8. Let l be ((-6)/5)/((-6)/f). Solve -l + 1 = 2*t for t. -1 Suppose 0 = -l - 3*h + 9, 22 = 4*l + 2*h...
{ "pile_set_name": "DM Mathematics" }
t the prime factors of 651499. 449, 1451 What are the prime factors of 2272694? 2, 1063, 1069 List the prime factors of 481933. 17, 28349 What are the prime factors of 144312? 2, 3, 7, 859 What are the prime factors of 2977511? 23, 129457 List the prime factors of 13684515. 3, 5, 13, 70177 What are the prime factors of...
{ "pile_set_name": "DM Mathematics" }
5, f - d = -f + g. Suppose -4500 = -f*q + q. What is q rounded to the nearest one thousand? -5000 Suppose 21 = 4*k - i, -5*k + i + 21 = 5*i. Let z be (k/(-4))/((-3)/9600). Suppose 0 = 6*q - q - z. What is q rounded to the nearest 100? 800 Let r = -851.99999463 + 852. What is r rounded to 6 dps? 0.000005 Let a = -25 - -...
{ "pile_set_name": "DM Mathematics" }
qrt(1900) + sqrt(1900) + 0)**2. 17100 Simplify (sqrt(1216) + -1)*1 - sqrt(1216) - ((1*sqrt(19))**2 + -5 + 1). -16 Simplify -2 + sqrt(77)/sqrt(7) + -2 + -5 + 4. -5 + sqrt(11) Simplify ((-5 + (sqrt(192) - (sqrt(192) + -4*(0 + sqrt(192)) + sqrt(192) - sqrt(192)) - sqrt(192)))**2 + 3)*-6. -10536 + 1440*sqrt(3) Simplify 5 +...
{ "pile_set_name": "DM Mathematics" }
True Suppose 0 = -0*y - 5*y - 10. Let d be 3/2 - 3/y. Do 3 and d have the same value? True Let b = 1935 + -110299/57. Which is greater: b or 1? 1 Let k(w) = -w + 1. Let j be k(2). Suppose 2*i + i = 9, -4*i - 18 = -5*f. Suppose 2*c - 4*c = -4*d - f, -c = 4*d - 3. Is d equal to j? False Let z = -16 - -15.9. Is -7/2 great...
{ "pile_set_name": "DM Mathematics" }
ime factors of 653001. 3, 217667 List the prime factors of 5931074. 2, 2965537 What are the prime factors of 344756? 2, 79, 1091 What are the prime factors of 28608863? 28608863 What are the prime factors of 972200? 2, 5, 4861 What are the prime factors of 9898200? 2, 3, 5, 13, 47 What are the prime factors of 497847? ...
{ "pile_set_name": "DM Mathematics" }
et j(c) = -c + 1. Let t be j(-2). Let h be (3 - t)*1*-1. What is the derivative of 0*b + b**4 - 4*b**4 - 3 + h*b wrt b? -12*b**3 Let o(y) be the first derivative of -4*y**5/5 + 5*y**4/4 + 19*y**3/3 + y**2/2 + 62. What is the third derivative of o(u) wrt u? -96*u + 30 Let u = 8 - 4. Find the third derivative of -u + 0 +...
{ "pile_set_name": "DM Mathematics" }
-1836 + 1843. Solve 33 = -26*w + i for w. -1 Let p be 2/(-23) - (-288)/138. Suppose 2 = -4*b - 0*x + p*x, -2*b - 5*x + 29 = 0. Solve 6 = b*i + 16 for i. -5 Let w be 15/(-3) + (1 - -1). Suppose 5*h - 15 = 5*n, -3*h = -2*n - 2*h - 8. Let c be (n/5*33)/w. Solve 0 = 2*p + c - 3 for p. -4 Suppose 0 = w + 5*u - 35, -w - 32*u...
{ "pile_set_name": "DM Mathematics" }
/9 Let v = -9 - -14. Suppose -12*m**2 - 8*m**3 - 4*m**4 + 28*m**3 - 3*m**5 + m**5 - 2*m**v = 0. Calculate m. -3, 0, 1 Let f be ((-4)/10)/(1/10). Let o(x) = -4*x - 14. Let m be o(f). Let -98*z**4 - 27*z**3 - 8*z + 4*z**2 + 3*z**m - 15*z**3 + 41*z**2 = 0. Calculate z. -1, 0, 2/7 Factor 161/2 + 7/4*r**2 - 1129/4*r. (r - 1...
{ "pile_set_name": "DM Mathematics" }
-24 + 9 = 5*t. Let u = t - -6. Suppose u*d = -d + 4. Solve i + 0*i = d, -5*j = 2*i - 12 for j. 2 Let q(a) = -3*a - 38. Suppose -6*d + 16 = 28. Let x be (-13 - -17)/(d/7). Let z be q(x). Solve -l - 2 = -5*o - 22, z = -4*l - o for l. 0 Suppose -4*m - 4*y - 16 = 0, y = 5*m - m - 4. Solve m = 9*j - 5*j + o + 24, 2*o = 0 fo...
{ "pile_set_name": "DM Mathematics" }
9. Calculate the highest common divisor of j and 36. 4 Let s be (-55 + 1)*(-8)/(-12). Let n be (6/4)/(-1 - 37/s). Calculate the greatest common divisor of n and 27. 27 Suppose h + 7 - 3 = 0. Let f = 14 + h. Calculate the greatest common divisor of 15 and f. 5 Let w be 3 + 3 + -1 + -2. Suppose l - 2*b - 7 = -5*b, 2*l = ...
{ "pile_set_name": "DM Mathematics" }
s. -0.012 Let c be -1 - (1 - -2) - -11. Suppose c*z + 148 = 8*z. What is z rounded to the nearest 10? 150 Let f = -845 + -259. Let x = f + 1057.7. What is x rounded to the nearest integer? -46 Suppose 80052548 = 4*a + 4*t, 0*a + 4*a - t - 80052563 = 0. Let y = -10913140 + a. What is y rounded to the nearest 1000000? 90...
{ "pile_set_name": "DM Mathematics" }
sequence dlm when three letters picked without replacement from kddllkdolodmdld? 4/455 Two letters picked without replacement from mmttumuummmjmu. Give prob of sequence tm. 1/13 Calculate prob of sequence hh when two letters picked without replacement from qtgthqqqgqqqqqhghq. 1/51 Four letters picked without replaceme...
{ "pile_set_name": "DM Mathematics" }
ctors of k(-3)? 5 Let k(c) = 5*c - 18. Let g be k(5). Suppose -3*q + 38 = -25. Let f = q - g. What are the prime factors of f? 2, 7 Let k(u) = -3*u**2 + 3*u + 4*u**2 - u + u + 99. List the prime factors of k(0). 3, 11 Suppose -107*s + 109*s - 476 = 0. List the prime factors of s. 2, 7, 17 Let m(w) = 4*w - 7. Let b be (...
{ "pile_set_name": "DM Mathematics" }
i*x**2 + 9*i - 8*x**2 - 491*x wrt i? 4820*x**2 + 538*x Find the second derivative of -36*o**5 + 105*o**4 - 31302*o - 1. -720*o**3 + 1260*o**2 Find the second derivative of 429532*u**2 - 78*u - 777. 859064 What is the third derivative of -3*j**6 + 62077*j**3 - 19662*j**2 - 10*j wrt j? -360*j**3 + 372462 What is the firs...
{ "pile_set_name": "DM Mathematics" }
hat is the tens digit of 18960? 6 What is the thousands digit of 145479? 5 What is the tens digit of 7297? 9 What is the hundreds digit of 8087? 0 What is the tens digit of 40144? 4 What is the hundred thousands digit of 134512? 1 What is the thousands digit of 5017? 5 What is the hundreds digit of 23536? 5 What is the...
{ "pile_set_name": "DM Mathematics" }
1/4 in 42, 3, -0.4? -0.4 What is the closest to 0 in -6, 3/4, -3, 4? 3/4 Which is the nearest to 2? (a) -3 (b) -2/3 (c) 4 (d) -15 c Which is the nearest to 4/11? (a) 1 (b) -3 (c) 2/11 (d) 3/2 c Which is the nearest to 0.2? (a) 0.4 (b) -7 (c) 1/5 c Which is the nearest to 0.1? (a) 0 (b) 1 (c) -0.3 (d) -23...
{ "pile_set_name": "DM Mathematics" }
Suppose 4*i - 24 = 2*s, -4*s - 3*i - 37 = -33. Which is the second biggest value? (a) r (b) -0.3 (c) s (d) -1 b Let w be ((-3157206)/(-62964))/13 + -4. Let a = -13/106 - w. What is the third smallest value in a, 1, 4? 4 Let k = -23 - -25.3. Let v = k - 0.3. Let h be 3 + -6 + 247/91. What is the biggest value in v, ...
{ "pile_set_name": "DM Mathematics" }
/3). Let i = 193 - d. Let b be (0 - -1)/((-1)/(-3)). Solve -p - 3*u = 6 + i, -u - b = p for p. 1 Suppose -3*l - 4*q + 0*q = -13, -3*q + 12 = 0. Let h be (l - 0) + -1 + 5. Let y = 1688 + -1685. Solve -9 = y*g - h*z, -3*g + 5*z - 1 = 4 for g. -5 Suppose -10*a + 11*a + 4*s + 15 = 0, -4*a - 2*s = 4. Let v = -5 - -7. Solve ...
{ "pile_set_name": "DM Mathematics" }
ue? (a) w (b) 0.3 (c) 2 (d) v a Let p = -12500 - -12499.899. What is the second biggest value in p, -1/3, 0, 0.1? 0 Let q be 1390/(-4865) - ((-10)/84 - 0). Suppose 2*j + 29 = 5*z, -3*j + 8 = 4*z - 6. Let p = 15/4 + -43/12. What is the smallest value in q, z, 2, p? q Let b = 44386.66 + -44384. What is the fourth sma...
{ "pile_set_name": "DM Mathematics" }
*w**4/24 + 2*w**3/3 - 2*w - 28. Let z(o) be the third derivative of k(o). What is z(-5)? 0 Let z(w) = w**3 - 4*w**2 - 10*w - 1. Let u be z(6). Suppose -20 = -u*v + 145. Let y(f) = 34*f - v*f - f**2 - 6 - 12*f. Calculate y(4). 6 Suppose -4*i = -i - 12. Let t(x) be the second derivative of x**4/6 - 2*x**3/3 - x**2 + 2110...
{ "pile_set_name": "DM Mathematics" }
t = -13/81 + -641/1053. Suppose u + n + 7 = 3*n, 3*u + 5*n - 12 = 0. Is u less than or equal to t? True Let u be (-5 - (-1064)/245) + (-7)/35. Is u at most -2/31? True Let r be (-114)/(-9)*(4 - 116/8). Is r not equal to -132? True Let h = -11 + 5. Let i = 8 + h. Suppose 0 = o - 5*g - 16, i*o + 4*g = 3*o - 11. Which is...
{ "pile_set_name": "DM Mathematics" }
he first derivative of 110990*f**2*t**3 - 5*f**2 + 4949*t**3 - 651*t**2 - 1 wrt f. 221980*f*t**3 - 10*f Find the third derivative of -102272076*q**4 - 8*q**2 - 73*q - 19481 wrt q. -2454529824*q Find the first derivative of 21*z**3 + 2*z**2 + 15243*z + 59686286 wrt z. 63*z**2 + 4*z + 15243 What is the third derivative o...
{ "pile_set_name": "DM Mathematics" }
88824*o Let y be (-5)/(20/(-24)) - -2. Let z(d) = -d**2 + 10*d - 8. Let u be z(y). Differentiate -3 + u*q - q + 8*q with respect to q. 15 Let g = -77 + 182. Let w = g - 59. Find the first derivative of -w*y - 2 + 5 - 17*y**2 + 46*y wrt y. -34*y Find the second derivative of 4986*t**2 + 10*t + 182*t - 1181*t wrt t. 9972...
{ "pile_set_name": "DM Mathematics" }