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+ 14. 4*(o - 7)*(o + 1) Let v(i) be the second derivative of 5*i**4/12 + 135*i**3/2 - 205*i**2 + 1891*i. Let v(o) = 0. What is o? -82, 1 Let d(r) = -16*r**2 + 64. Let i(z) = z**2 - 4. Suppose 27*y = -14*y + 41. Let t(v) = y*d(v) + 20*i(v). Factor t(m). 4*(m - 2)*(m + 2) Let b(w) be the second derivative of 2*w + 122 +...
{ "pile_set_name": "DM Mathematics" }
= 5*y - 2*p. Solve 2*v + z + 11 - 3 = y, -14 = 2*v - 2*z for v. -5 Suppose -6*l = -4*l - 14. Solve 3*p - 2*c - 3 = -l, 2*p + 10 = 5*c for p. 0 Suppose 0 = 3*t + 7 - 52. Let s be 99/5 - (-3)/t. Suppose 2*j - s = -3*j. Solve -3*a = 4*n - 3*n + 7, 18 = -j*a + 3*n for a. -3 Suppose 0 = -2*t - 5*o - 11, t + 3*o = -3*t - 1....
{ "pile_set_name": "DM Mathematics" }
equence ahr when three letters picked without replacement from cchrwraao? 1/126 Three letters picked without replacement from {g: 2, e: 4}. Give prob of sequence geg. 1/15 Calculate prob of sequence po when two letters picked without replacement from {v: 1, n: 1, o: 2, k: 2, p: 2, h: 1}. 1/18 Two letters picked without...
{ "pile_set_name": "DM Mathematics" }
give c. -2 Express 5*t**2 - 3*t - 4*t**2 + 26 - 23*t**2 - 13*t**2 - 25 in the form w + g*t + l*t**2 and give l. -35 Express 6*o - 2*o + o + (-286*o - 303*o + 137*o)*(0 - 4 + 3) + 2*o - 1 + 1 - 2*o - o + 2*o + (-3*o + 4*o + 0*o)*(4 - 1 - 4) + o - o + o as l + f*o and give f. 458 Rearrange 4*b**4 - 81 - 96 + 182 - 4*b**2...
{ "pile_set_name": "DM Mathematics" }
ate the greatest common divisor of f and 21. 1 Suppose 3*i = 2*n, 0*n = 4*n - i - 10. Suppose n*s = -0*s + 6, -4*j + 26 = 3*s. What is the greatest common divisor of j and 10? 5 Suppose -3*u = -21 - 9. Suppose 4*x + 4 = 0, -132 = -i - 5*x + 67. Suppose 307 + 45 = 5*r - t, 0 = 3*r + 3*t - i. What is the highest common d...
{ "pile_set_name": "DM Mathematics" }
3 Let x(g) = 3*g**2. Let m(w) = -16*w**2 + 37*w + 2. What is -m(o) - 6*x(o)? -2*o**2 - 37*o - 2 Let d(a) = -a**2 + 6*a. Let b(m) = -2*m**2 + 13*m. Suppose o + 30 = 5*s, 3*s + 11 = -5*o + 1. What is o*d(k) + 2*b(k)? k**2 - 4*k Let d(c) = c**3 + c. Let l(q) be the first derivative of 3*q**4/2 - q**3/3 + q**2/2 + q + 551...
{ "pile_set_name": "DM Mathematics" }
52*u/19 = 0. What is u? -3, -1, 0, 2, 46 Factor -5*z**2 - 10620*z - 95175. -5*(z + 9)*(z + 2115) Determine y so that -y**4 - 108*y**3 - 1906*y**2 + 4140*y - 2125 = 0. -85, -25, 1 Factor w**3/3 + 3028*w**2/3 - 140875*w/3 + 1626146/3. (w - 23)**2*(w + 3074)/3 Find s, given that -2*s**3/7 - 4*s**2/7 + 2*s/7 + 4/7 = 0. -2,...
{ "pile_set_name": "DM Mathematics" }
**2 - 97 + 279*l**2 + 97. Give f(j(z)). 169*z**4 Let b(c) be the first derivative of c**3 + 1. Let o(z) = -z - 1. Let n = -44 - -53. Let r(l) = -6*l - 9. Let p(s) = n*o(s) - r(s). What is p(b(a))? -9*a**2 Let c(p) = -2*p**2. Let t = -9 - -11. Let w = 2 + 0. Let j(m) = t*m**2 - m**2 - 3*m**w. Determine c(j(z)). -8*z**4 ...
{ "pile_set_name": "DM Mathematics" }
213*k**2 - k Let d = 6 + 0. Let j(k) = d - 6 + k. Let v(f) = -3*f + 4*f + f. What is v(j(p))? 2*p Let v(a) = 2155*a. Let g(j) = -3*j. Calculate v(g(i)). -6465*i Let d(n) = 4*n**2. Let q(a) be the first derivative of -a**4/24 + 3*a**2 + 5. Let o(m) be the second derivative of q(m). Give d(o(b)). 4*b**2 Let o(v) = -10*v...
{ "pile_set_name": "DM Mathematics" }
e third derivative of 2/21*i**3 - 1/84*i**6 + i**2 + 0*i - 1/105*i**5 + a*i**4 + 0. Let q(v) = 0. Calculate v. -1, -2/5, 1 Let z(n) = -8*n**2 - 36*n - 68. Let b(q) = 7*q**2 + 35*q + 67. Let m(s) = -4*b(s) - 3*z(s). Find l, given that m(l) = 0. -4 Let x(u) = u**3 - u**2 - 6*u + 3. Let g be x(3). Suppose g*h - h = 0. Sol...
{ "pile_set_name": "DM Mathematics" }
k + 7. Let q be b(-5). Solve q*y = -c*o - 1 - 3, 5*o = 5*y - 35 for y. 4 Let r(b) = -457*b + 458. Let m be r(1). Solve v = -3*g - 10, v - 7 = g - m for v. 2 Suppose 0 = -81*v + 2*v + 1044 + 1089. Solve -v*a - 4 = 3*b - 28*a, 3*b + 3*a + 12 = 0 for b. -2 Suppose 5*d - 77*d - 22 = 50. Let b(f) be the third derivative of ...
{ "pile_set_name": "DM Mathematics" }
: v or x? v Let s = 1652/5 - 332. Which is bigger: s or -3? s Let k = 18 + -9. Let o = k + -8.9. Which is smaller: -1/10 or o? -1/10 Let h be ((-3)/18 + -1)*-10. Let b = h + -12. Suppose 5*p + 4*n = 21, 5*n = p + 26 - 7. Which is greater: p or b? p Let x = 8.7 + -0.7. Are x and 0.2 unequal? True Let p be 23/5 - (-4 + 1...
{ "pile_set_name": "DM Mathematics" }
t is 17836714 to the power of 1/3, to the nearest integer? 261 What is 1855036 to the power of 1/7, to the nearest integer? 8 What is the square root of 1190890 to the nearest integer? 1091 What is 2067591 to the power of 1/3, to the nearest integer? 127 What is 115145 to the power of 1/6, to the nearest integer? 7 Wha...
{ "pile_set_name": "DM Mathematics" }
at is the remainder when 6 is divided by r(j)? 0 Let l(r) = r**2 + 5*r - 10. Let g be l(-7). Suppose -137 = -3*x + 2*h, -2*x + 188 = 2*x - g*h. Let n = -29 + x. Calculate the remainder when 51 is divided by n. 9 Suppose -2*a - 366*l + 369*l + 4954 = 0, -a + l + 2480 = 0. What is the remainder when a is divided by 192? ...
{ "pile_set_name": "DM Mathematics" }
d(b) be the first derivative of b**3 - 11*b**2/2 + 8*b + 2. Let p(a) = j*d(a) + 2*k(a). Factor p(l). -3*(l - 2)*(l - 1) Suppose 32*i = -3*q + 28*i + 32, -5*q + 46 = 3*i. Find h such that -375*h**4 - q - 15*h**2 - 15*h**2 + 387*h**4 + 12*h - 3*h**3 - 3*h**5 + 32 = 0. -1, 2 Let m be -2 + 104/44 - (-8295)/5775. Factor -m*...
{ "pile_set_name": "DM Mathematics" }
he second smallest value? (a) l (b) i (c) 5 a Let x = 6.6 - 0.6. Let h = 6.4 - x. Let p be -2*(-1)/2*6/39. What is the smallest value in -2/7, h, p? -2/7 Let i = -37/15 - -14/5. Which is the biggest value? (a) i (b) -1/4 (c) -2 a Let p be (-15)/2*4/(-6). Let c = -24 + 23.6. What is the third smallest value in 0.2...
{ "pile_set_name": "DM Mathematics" }
h(g) + 5*u(g). -2*g**2 - 4 Let x(a) = 3*a**2 + 2*a + 1. Let k = 1765 - 1760. Let g(u) = -2*u**2 - 2*u. What is k*g(c) + 4*x(c)? 2*c**2 - 2*c + 4 Let b(g) = g - 23. Let v(c) = -c - 2. Calculate b(q) + 2*v(q). -q - 27 Let l(m) = -m + 16. Suppose -5*y - 35 = -5*d, 6*d - 8*d + 4*y = -16. Let w(i) be the second derivative o...
{ "pile_set_name": "DM Mathematics" }
e of 5608*n*y + 4281121*n - 63*y**4 + 47*y**2 + 13 wrt y? 5608*n - 252*y**3 + 94*y Find the third derivative of 17159919*c*m**4 - 2*c*m**2 - 9*c - m**4 + 1965*m**2 - 329*m wrt m. 411838056*c*m - 24*m Find the second derivative of -403708167*u**2 + 618115*u - 348 wrt u. -807416334 Find the third derivative of 2197*g**3*...
{ "pile_set_name": "DM Mathematics" }
25925154.36 to the nearest 1000000. 26000000 What is 0.00447160639 rounded to 4 dps? 0.0045 What is 107.98545402 rounded to three decimal places? 107.985 What is -17050733.5 rounded to the nearest 1000? -17051000 Round 57906810.1 to the nearest one million. 58000000 What is 586405846.2 rounded to the nearest 1000000? ...
{ "pile_set_name": "DM Mathematics" }
*(1/4)*x*x*(x*x**5)/x) assuming x is positive. x**(109/52) Simplify (b/(b**(2/5)/b))**(-4/7)/((b**5*b)/(b/((b*b*b**(-4/3))/b))) assuming b is positive. b**(-586/105) Simplify m**0*m*m*m**(-6)*m*(m/(m*m**1))**(3/17) assuming m is positive. m**(-54/17) Simplify (v*v**(-6)*v)/v**(-1)*(v*v**(-1)*v)**(-8/3) assuming v is po...
{ "pile_set_name": "DM Mathematics" }
*3/5 + 6206254050222*d**2/5 - 46739712*d/5 + 88/5 = 0. What is d? 2/531133, 11 Factor 3*z**3 - 2805*z**2 - 211263*z + 214065. 3*(z - 1005)*(z - 1)*(z + 71) Let j**4/8 + 2265311*j**3/4 + 5131624865469*j**2/8 - 5131638457343*j/2 + 5131642987969/2 = 0. What is j? -2265313, 2 Factor -2*n**2/9 - 14836*n/9 + 11550. -2*(n - 7...
{ "pile_set_name": "DM Mathematics" }
uppose 10*b - 672 = -11*b. Suppose 12*g + b = 8. Let f = 712 + -8551/12. Is g at most f? True Let r be ((100/15)/10)/((-6)/27). Let w be r - 16*((-12)/16 - -2). Which is bigger: -26 or w? w Let s(q) = -344*q - 2531. Let l be s(-3). Is l less than -1503? False Let y be (2/(-13) - 0) + (-43980)/(-260). Let t = -182 + y. ...
{ "pile_set_name": "DM Mathematics" }
(-13/3))/(f/(f/(f**(14/5)*f))*f*f*f**(19/5)) assuming f is positive. f**(-379/15) Simplify ((d/(d**(-1/3)/d))**(-45)/((d/d**(9/2))/(d/(d*d/d**(-5/2)))))**(-4/3) assuming d is positive. d**140 Simplify l**(4/9)*l/l**(-31)*(l*(l*l**(2/7)*l)/l)/l*l**(1/4) assuming l is positive. l**(8563/252) Simplify ((f**(1/3))**15*(f/f...
{ "pile_set_name": "DM Mathematics" }
nearest integer? 7 What is 47635120 to the power of 1/7, to the nearest integer? 12 What is 262101799 to the power of 1/3, to the nearest integer? 640 What is 903752780 to the power of 1/3, to the nearest integer? 967 What is the square root of 1240835908 to the nearest integer? 35226 What is 5189883310 to the power o...
{ "pile_set_name": "DM Mathematics" }
et t be 2/6*-1 - (-85)/153. What is the nearest to 2/3 in 2/19, -0.3, t? t Let l = 1276/9 + -142. Let x = 1 + -2.5. Let n = 1 + x. Which is the nearest to l? (a) 0.3 (b) 0 (c) n b Let d be (0 - -1)/((-2)/2). Let v(l) = 2*l + 3. Let z be v(-2). Which is the nearest to d? (a) -5 (b) -0.5 (c) z c Let i = 526/63 - 60...
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) 0.2 (b) 1/8 (c) -3/5 (d) -9087 b Which is the third biggest value? (a) 30/7 (b) 4/5 (c) -5 (d) -3 (e) 5 b What is the smallest value in -2357, 0.5, 0.1? -2357 Which is the second smallest value? (a) -89 (b) -1/3 (c) 2 (d) -82 d Which is the smallest value? (a) -856 (b) 0.1 (c) -1 (d...
{ "pile_set_name": "DM Mathematics" }
: 1, i: 1, n: 1, y: 2}. Give prob of picking 1 c, 2 g, and 1 n. 1/70 Two letters picked without replacement from frrfrrrrfrfrfrrrffr. Give prob of picking 2 f. 7/57 Calculate prob of picking 2 n when two letters picked without replacement from {n: 9, t: 3}. 6/11 Three letters picked without replacement from orddospddkd...
{ "pile_set_name": "DM Mathematics" }
0. 2, 5, 98893 What are the prime factors of 4846940? 2, 5, 7, 89, 389 List the prime factors of 11167964. 2, 2791991 What are the prime factors of 146679? 3, 13, 3761 What are the prime factors of 15311971? 29, 281, 1879 List the prime factors of 572317. 631, 907 List the prime factors of 163672. 2, 41, 499 What are t...
{ "pile_set_name": "DM Mathematics" }
Give prob of picking 4 v. 1/33 Calculate prob of picking 1 j and 2 b when three letters picked without replacement from jbbjjjbbbbjbj. 63/143 Two letters picked without replacement from ricdcuj. What is prob of picking 1 i and 1 u? 1/21 Calculate prob of picking 3 m and 1 v when four letters picked without replacement...
{ "pile_set_name": "DM Mathematics" }
thout replacement from poooopp. Give prob of picking 1 o and 3 p. 4/35 What is prob of picking 1 o and 2 y when three letters picked without replacement from yyoyoooyyoooyyoo? 27/80 Calculate prob of picking 1 h, 1 i, and 2 l when four letters picked without replacement from sigllshhhllhslicgsl. 10/323 Four letters pic...
{ "pile_set_name": "DM Mathematics" }
17*j + 3 + (j + 2*j - 4*j)*(-4 + 4 - 2). 56*j + 3 Expand (0*y**4 + y**4 + 12*y**4 + (-y**3 + 0*y**3 + 2*y**3)*(-4 + 4 + y))*(-3 + 4 + 1). 28*y**4 Expand (20*r**2 - 10*r**2 + 6*r**2)*(-2*r + 2 + 3 + 2*r**2 - 1). 32*r**4 - 32*r**3 + 64*r**2 Expand (-5*g + 2*g + 5*g)*(-1 - 3 + 2 + 0 - 1 - 1 + (-1 + 1 + 2)*(1 + 4 - 3) - 1 ...
{ "pile_set_name": "DM Mathematics" }
4*p = 5*a, -4*a - 4*p - 4 = -0*p. Suppose -61 + 21 = -a*s. Let f be (24/15)/(4*1/s). Solve 6 = -r + f*r for r. 2 Let x be (-9 - -401)/(-14)*(-5)/20. Solve x - 37 = 5*h for h. -6 Suppose -3*a + 48 = -451*p + 452*p, 5*p - 204 = -3*a. Solve -p*d - 18 = 99 for d. -3 Let c(b) = 14*b**2 + 19*b + 4. Let m be c(-2). Suppose -m...
{ "pile_set_name": "DM Mathematics" }
3793925*n*q**3 + 2*n What is the second derivative of 11649*v**2*z + 195*v**2 - 7*v*z - 843680*z wrt v? 23298*z + 390 What is the second derivative of 3*c**4 + 4896439*c**2*m**2 + 149*c*m**2 + 1869*c*m - 4 wrt c? 36*c**2 + 9792878*m**2 What is the third derivative of 2233626*j**3*p*u**2 + j**3*p*u - 6*j**3*u - 2608*j**...
{ "pile_set_name": "DM Mathematics" }
)). 31002*h + 21690 Let u(j) = 6339*j. Let i(m) = 13*m**2 + 13*m - 12. What is u(i(q))? 82407*q**2 + 82407*q - 76068 Let z(x) = -488*x**2 + 4*x. Let q(s) = -89*s + 8. Calculate q(z(g)). 43432*g**2 - 356*g + 8 Let h(s) = -s**2 + 16*s - 4. Let r(p) = -9*p + 16*p + 8*p - 12*p - 4*p. Calculate r(h(b)). b**2 - 16*b + 4 Let ...
{ "pile_set_name": "DM Mathematics" }
-z**4/12 + 2*z**3/3 - 59*z. Let f = 1 + 2. Calculate the remainder when 10 is divided by o(f). 1 Suppose -5*v + 2*h - 33 = -8*v, 0 = -4*v - 3*h + 45. Suppose 23 = 5*f - f + m, 0 = 2*f + m - v. What is the remainder when 19 is divided by f? 5 Let y(d) = 29*d**2 + d + 1. What is the remainder when y(-2) is divided by 36...
{ "pile_set_name": "DM Mathematics" }
/(-10) - 2/(-10). What is the nearest to 2/3 in b, 0.1, y? y Let v be (1/(-6))/(2/(-4)). Let g = 1 + 0. Let d = 137/12 + -35/3. Which is the closest to g? (a) d (b) 4/7 (c) v b Let j = 5 + -9. Let m = -0.3 + 0.2. Let q(l) = -2*l - 11. Let i be q(-5). Which is the nearest to -2/3? (a) j (b) i (c) m b Let o = 3 + -...
{ "pile_set_name": "DM Mathematics" }
((-8)/12). Are x and -1 non-equal? True Suppose 3*p - 5*z - 4 = -1, 5*p + 4*z = 5. Which is bigger: p or 3? 3 Let g = -16.1 + 16. Is g bigger than -4? True Let n(t) = t**3 + 8*t**2 - 8*t + 9. Let l be n(-9). Suppose 2*w - 8*w + 6 = l. Which is greater: 4/13 or w? w Suppose -5*k - 8 - 2 = 0. Let i = -4 + 7. Suppose i*x ...
{ "pile_set_name": "DM Mathematics" }
ppose 3*f = -g*b + 3, f - 3 = -b - 2. Put b, 4, -5 in decreasing order. 4, b, -5 Let f = -0.93 - 0.07. Let c = -683/40 - -135/8. Put c, -3, 2, f in descending order. 2, c, f, -3 Let u be 35/105*(1 + -1). Put 3, -4, 6, u in descending order. 6, 3, u, -4 Suppose 5*n = -4*p - 16, -3*n - 1 - 11 = 3*p. Let i be (6/(-5))/(-3...
{ "pile_set_name": "DM Mathematics" }
hqqhhqhhqh. 1/14 Calculate prob of picking 2 s when two letters picked without replacement from wwswwwswww. 1/45 Two letters picked without replacement from {g: 7, y: 7}. Give prob of picking 2 g. 3/13 Calculate prob of picking 3 c when three letters picked without replacement from {k: 1, o: 2, c: 1}. 0 Calculate prob ...
{ "pile_set_name": "DM Mathematics" }
= l*g + 5, -17 = -p + 4*g for p. 5 Suppose 20*i - 24*i + 42 = v, 3*i - 6*v - 18 = 0. Solve 0 = 2*f - i, -2*r + 44 - 29 = f for r. 5 Suppose 9*n = -2*t + 5*n + 8, 15 = 3*t + 5*n. Let f be (t/4)/(26/52). Solve 4*u + 9 + f = 2*o, 4*o - 16 = 5*u for o. -1 Suppose 4*z + 3 = 7*z. Let c be (12/(-4) - 12)/z*1. Let n be ((-12)/...
{ "pile_set_name": "DM Mathematics" }
to f*x + n + k*x**2 and give k. 30 Express (-12*m**2 - 18 + 18*m**2 - 21*m**2)*(-3*m + 17*m - 94 + 93) in the form d*m**3 + q*m**2 + j*m + s and give s. 18 Rearrange -778 + 158 - 3034 + 2*u - 590 to t*u + n and give t. 2 Express f**3 + 152*f - 3 - 2*f**4 - 27*f**2 - 151*f + 1 - 30*f**2 as i*f**4 + d*f + g*f**2 + n*f**...
{ "pile_set_name": "DM Mathematics" }
5*x = 4*a - 86. Which is smaller: -23 or x? -23 Let y(w) = 3*w**2 - 19*w + 26. Let n be y(4). Is n > -159? True Let y = -0.25 - -0.1. Let i = 0.5 + 0.5. Which is greater: y or i? i Let y = 43 - 41. Suppose -3*d + 1 = -3*f + 2*f, -y*d - 2 = 2*f. Is 2/51 less than or equal to d? False Let v = -4.9 + -24.1. Which is smal...
{ "pile_set_name": "DM Mathematics" }
pect to a. 19 Let v(c) be the first derivative of c**5 + 3*c + 7. What is the derivative of v(m) wrt m? 20*m**3 Let n(t) be the second derivative of -5*t**3/3 + 2*t**2 - 3*t. Find the first derivative of n(m) wrt m. -10 What is the third derivative of 7*l**3 - 11*l**3 + 38*l**3 + 27*l**2 - 78*l**3 wrt l? -264 Let a(v) ...
{ "pile_set_name": "DM Mathematics" }
the remainder when 549188 is divided by 67. 56 Calculate the remainder when 109303 is divided by 114. 91 What is the remainder when 133687 is divided by 19064? 239 What is the remainder when 646628 is divided by 140? 108 What is the remainder when 173509 is divided by 57826? 31 What is the remainder when 48266996 is di...
{ "pile_set_name": "DM Mathematics" }
-149873009 Add together 3 and 116075402. 116075405 What is -11.0672 plus -0.1434? -11.2106 What is the difference between 80052772 and 45? 80052727 Work out -113 + -185120. -185233 What is 1166 take away 3013498.4? -3012332.4 Add 221.9 and 43.83. 265.73 What is the distance between 2 and 2.3699068394? 0.3699068394 Calc...
{ "pile_set_name": "DM Mathematics" }
? r - 1 Let j(u) = 2*u**2 - 3*u - 2. Let z(r) = -r**2 + r + 1. Determine 3*j(l) + 8*z(l). -2*l**2 - l + 2 Let r(a) = a - 7. Let d be r(6). Let k(w) = 3*w**3 + 4*w - 4. Let m(b) = -b**2 + 9*b - 14. Let n be m(6). Let q(u) = u - 1. Determine d*k(c) + n*q(c). -3*c**3 Let g(y) = 20*y**2 + 14*y - 13. Let s(p) = 7*p**2 + 5*p...
{ "pile_set_name": "DM Mathematics" }
e 2/1*3/2. Let g(x) = 9*x. Calculate q*g(l) + v*h(l). -9*l Let s(b) = 13*b + 2. Let x(i) = 39*i + 6. Suppose 2*d - 5*q = -21, -32*d + 28*d = 3*q + 29. Determine d*s(u) + 3*x(u). 13*u + 2 Let q(t) = -2289*t**3 - 3276*t**2 - 315*t + 420. Let u(a) = 44*a**3 + 63*a**2 + 6*a - 8. Calculate 2*q(y) + 105*u(y). 42*y**3 + 63*y*...
{ "pile_set_name": "DM Mathematics" }
pand (2*a**2 + 0*a + 0*a)*(a**2 + 0*a**2 + a**2) - 7*a**4 - 24 + 24. -3*a**4 Expand (f**2 + 4*f**4 - f**2)*(4 - 5 - 1) - 60*f**2 + 12*f**4 + 60*f**2. 4*f**4 Expand (0 - 1 - 2)*(0 - 2 + 3)*(-4 + 4 - 2*w). 6*w Expand (m + m + 0*m)*(4 - 5 - 1). -4*m Expand 2*l**2 - l**2 - l**4 + 2*l**4 + (l**4 - 3*l**4 + 4*l**4)*(2 - 3 + ...
{ "pile_set_name": "DM Mathematics" }
1/44))**(-4/11) assuming g is positive. g**(479/12705) Simplify (v**(-3/5)/v**(-2/13)*(v/(v/((v*v**(3/2)*v*v)/v)))**9)**19 assuming v is positive. v**(76703/130) Simplify ((((i**(1/3)/i*i)/i*i*i)/i*i*(i*i**(-3/17))/i*i*i)/(i/(i/i**25*i)*i*i*i**(-4/5)))**4 assuming i is positive. i**(-22484/255) Simplify (((f*f**17)/f**...
{ "pile_set_name": "DM Mathematics" }
/21. Suppose j = -r + 60. Let v(n) = -12*n**2 + 5. Let p(q) = -30*q**2 + 12. What is r*p(l) + 12*v(l)? 6*l**2 Let c(b) = -52*b**2 - 13*b. Let z be (-22)/(-2) + (-14)/(4 - 11). Let l(n) = 17*n**2 + 4*n. Give z*l(g) + 4*c(g). 13*g**2 Let g(l) = 5*l**3 + 6*l**2 + 2*l - 3. Let j(i) = -i**3 - i**2 - i. Calculate g(u) + 2*j(...
{ "pile_set_name": "DM Mathematics" }
98 is divided by c. 38 Let v = -108 + 110. What is the remainder when 30 is divided by v? 0 Let r(k) = -k**2 + 7. Let f be r(3). Let s(u) = -7*u**3 - 2*u - 1. Suppose 4*c = 124 - 0. Calculate the remainder when s(f) is divided by c. 28 Let q(u) = u**3 + 9*u**2 - 3*u - 21. Let w be q(-9). Suppose w*p = 9*p - 201. What i...
{ "pile_set_name": "DM Mathematics" }
t to -4 in -3/5, -167, -1052, 0.2? -3/5 What is the nearest to 4/27 in -15, -0.3, 0.4, 4/17, 2, 2/3? 4/17 Which is the nearest to 0.1? (a) -2/15 (b) 1/5 (c) -432246 b Which is the closest to -2/5? (a) -3275 (b) -39 (c) -3/14 c What is the closest to 81 in -50, 2404, -0.1, 1/8? 1/8 What is the nearest to -2/9 in -...
{ "pile_set_name": "DM Mathematics" }
nd j? 16 Suppose -12*s - 4 = -14*s. What is the lowest common multiple of s and 14? 14 Let n(r) = -r**3 + 16*r**2 - 16*r + 19. Let c be n(15). Let a(y) = -y + 6. Calculate the least common multiple of 16 and a(c). 16 Let g = -710/63 + 41/9. What is the common denominator of g and 12? 7 What is the lowest common multipl...
{ "pile_set_name": "DM Mathematics" }
2*d. Let r = 950 - 1497. Let q = p - r. Is q prime? False Let v be -5 - (-6 - (1 + 3)). Is (0/v)/6 - -19 a prime number? True Suppose -p + 6*p = 8020. Let v = -551 + p. Let g = 2204 - v. Is g composite? False Suppose 51*j - 26*j = 21*j + 453972. Is j prime? False Let v = -57354 + 90601. Is v a prime number? True Let a ...
{ "pile_set_name": "DM Mathematics" }
a kilometer? 10200 How many minutes are there in one fifth of a day? 288 How many milligrams are there in 946.6222 grams? 946622.2 What is 7.239325 centuries in millennia? 0.7239325 How many grams are there in 504309.6kg? 504309600 What is 11/2 of a kilometer in meters? 5500 Convert 926294.9km to micrometers. 92629490...
{ "pile_set_name": "DM Mathematics" }
divide 981? False Does 2 divide 167? False Is 21 a factor of 37821? True Does 65 divide 2299? False Is 1471 a multiple of 22? False Does 13 divide 59358? True Is 14 a multiple of 2? True Does 52 divide 260? True Is 27 a factor of 33655? False Is 109989 a multiple of 33? True Is 6 a factor of 450? True Is 44 a factor of...
{ "pile_set_name": "DM Mathematics" }
62*c + 7. Calculate -5*r(g) - 7*v(g). 285*g Let m(a) = -5*a**2 - 56. Let i(b) = 11*b**2 + 112. What is -4*i(t) - 9*m(t)? t**2 + 56 Suppose l + o - 3 = 5, 3*l - 24 = 2*o. Let k(n) = 4*n + 2. Let v(y) = -6*y - 3. What is l*k(d) + 5*v(d)? 2*d + 1 Let l(n) = 1. Let x(q) be the third derivative of q**4/12 + 7*q**3/6 - 140*q...
{ "pile_set_name": "DM Mathematics" }
2 Let k(g) = 255*g - 139*g - 115*g. Let c(p) = 0 + 0 + 30*p. Determine k(c(f)). 30*f Let u(i) = i**3 + 17*i**2 - 17*i + 20. Let j be u(-18). Let l(y) = -4*y - 4*y**j - 4*y + 8*y. Let q(c) = -c. Give l(q(x)). -4*x**2 Let h(s) = s**2. Let x be ((-42)/(-63))/(0 + (-4)/(-3)). Let n(r) be the first derivative of 5 + 0*r - x...
{ "pile_set_name": "DM Mathematics" }
= 98*s - 15. Let x(q) = q + 1. Let d be x(6). Is u(d) prime? False Let x(c) = c**3 - 16*c**2 + 17*c + 3. Is x(15) prime? False Let l be (4/(-5))/(2/(-10)). Let n be ((-6)/l)/(2/(-4)). Suppose 24 = n*d - 15. Is d prime? True Let a(d) = 3*d. Let g be a(1). Let i = 6 - g. Is 94/6*(i + 0) prime? True Suppose 2*a = q + 114,...
{ "pile_set_name": "DM Mathematics" }
6*t. -10*t Collect the terms in 194 + 5*x**3 - 2*x**3 - 7*x**3. -4*x**3 + 194 Collect the terms in 26*p**2 + 21*p**2 - 4*p**3 - 72*p**2 + 25*p**2. -4*p**3 Collect the terms in 851939805 - 5*t - 851939805. -5*t Collect the terms in -h**2 + 2 - 3*h**2 + 213*h + 3*h**2. -h**2 + 213*h + 2 Collect the terms in -599*g**2 - 6...
{ "pile_set_name": "DM Mathematics" }
ond derivative of -3*z**5/20 - 403*z**4/12 - 784*z**2 - 691*z. Differentiate l(j) with respect to j. -9*j**2 - 806*j Suppose 4 - 1 = 3*x + 3*r, 3*x + 5*r + 1 = 0. Suppose 2*m = x*n + 3*m - 11, 0 = 5*n + m - 19. What is the second derivative of -8*q + 4*q - n*q**3 - 10*q wrt q? -24*q Let d be 16/6 - 2/3. Suppose 5*s + z...
{ "pile_set_name": "DM Mathematics" }
17865, 26799? 8934*j - 3 What is the q'th term of -355115, -710225, -1065333, -1420439, -1775543, -2130645, -2485745? q**2 - 355113*q - 3 What is the v'th term of -49, -862, -2213, -4102? -269*v**2 - 6*v + 226 What is the w'th term of -3534, -14112, -31744, -56430, -88170, -126964, -172812? -3527*w**2 + 3*w - 10 What i...
{ "pile_set_name": "DM Mathematics" }
-17 + 24. Let g = n - 7.3. Let v = -0.65 - 3.35. Put g, 0.5, v in decreasing order. 0.5, g, v Let d(o) = 5*o + 4. Let w be d(3). Let a be (-5)/(-20) - w/(-4). Let x(i) = 2*i + 7. Let j be x(-5). Sort -1, j, a. j, -1, a Let n = 8 + -9. Suppose -a - 2*c = -6*c + 18, -4*a + c = -3. Sort 3, n, a in decreasing order. 3, a, ...
{ "pile_set_name": "DM Mathematics" }
(a + 1)/4 Solve 897*m**3 - 4*m - 900*m**3 - 5*m - 12*m**2 = 0 for m. -3, -1, 0 Factor 94/11 - 2/11*a**2 + 92/11*a. -2*(a - 47)*(a + 1)/11 Let j be 5*(-14)/(-175)*1. Let d = 98 - 487/5. Factor 0 - 7/5*o**2 + 8/5*o**3 + j*o - d*o**4. -o*(o - 1)**2*(3*o - 2)/5 Let y(m) be the first derivative of -3*m**5/20 - 3*m**4/8 + m*...
{ "pile_set_name": "DM Mathematics" }
l(q) = -12*q + 132. Let o be l(10). Let j(s) = s - 2*s - 20 + 19 + o*s. What is j(-1)? -12 Let p(m) be the second derivative of m**5/20 - 3*m**4/4 + 8*m**3/3 - m**2/2 + 1289*m. Give p(7). 13 Let d(h) = 2*h**2 - 2*h - 2. Let r be d(2). Let f(q) = -r*q + 2 + 3*q + 3 - 9. Let p be ((-33)/(-9) + -4)*9. Determine f(p). -7 L...
{ "pile_set_name": "DM Mathematics" }
+ 6*o**2 + o - 6. Let i be q(6). Let h = -60 + 56. Which is the closest to -4? (a) i (b) h (c) 2 b Let p = -808 + 810. Which is the closest to -1? (a) 0.5 (b) 4 (c) p (d) 4/3 a Let g = 0.1 + 0.9. Let q = -22/85 - -1/17. Let l = -0.554 + -0.446. What is the nearest to -1/2 in l, g, q? q Let q = -343/513 - -1/513...
{ "pile_set_name": "DM Mathematics" }
55/8743? True Which is bigger: -1165 or 0.28? 0.28 Which is greater: -59697 or -358187/6? -59697 Is -178329 >= -178330? True Is -209856 >= -209856? True Is -264/71 bigger than -3? False Which is bigger: 0 or 88410? 88410 Are 61130 and 61131 equal? False Which is bigger: -534/779 or -2? -534/779 Which is smaller: -1823...
{ "pile_set_name": "DM Mathematics" }
+ 32, 32 = -2*n - 3*w - w. Let h = -10 - n. Let y(m) = 14*m + 11*m - h*m. Let i(v) = v**2. Give y(i(d)). 19*d**2 Let b(g) be the first derivative of 6*g**2 - 4312. Let f(t) = -112*t**2. What is f(b(d))? -16128*d**2 Let g(q) = 6*q. Let x(v) = -369*v + 63. Let l(r) = 12*r - 2. Suppose -13*h + 15 = -11. Let t(n) = h*x(n) ...
{ "pile_set_name": "DM Mathematics" }
*z + 2. Does 4 divide -2*z/(-9)*6? True Suppose 8 = -2*n + 30. Does 11 divide n? True Let m = -43 - -67. Is m a multiple of 24? True Let r(g) = 3*g**3 + 2*g - 3. Let i be 4 + (1 - 4 - -1). Is 10 a factor of r(i)? False Let b(t) = -t**3 - 9*t**2 + 2*t + 1. Is b(-10) a multiple of 26? False Let v(q) = q - 4. Let z = -12 ...
{ "pile_set_name": "DM Mathematics" }
give a. 2 Express -392 - 163 - 146 + n - 517 as w*n + l and give w. 1 Rearrange -3 + 10 - 2 - 2 + 317*v - 5 to k*v + t and give k. 317 Rearrange -2*o**3 + 3*o**2 - 73*o - 2 + 21*o + 26*o + 26*o + 13*o**4 to the form b*o**4 + j + d*o + n*o**2 + x*o**3 and give x. -2 Express 71*l**4 - 321*l + 321*l - 8*l**4 + 15*l - 15*...
{ "pile_set_name": "DM Mathematics" }
- 16. Let v be (2/y + (-8)/24)*-63. Calculate the highest common divisor of 63 and v. 21 Suppose 3*o + 140 = o. Let v = o - -112. What is the greatest common divisor of v and 63? 21 Let o(y) = 14*y**2 + 4*y + 13. Let i be o(-2). Calculate the highest common divisor of i and 549. 61 Let j = -129 - -129. Let a be ((-36)/...
{ "pile_set_name": "DM Mathematics" }
of picking 4 v. 21/55 Two letters picked without replacement from {q: 2, l: 1, s: 1, j: 1, a: 2}. Give prob of picking 1 a and 1 j. 2/21 Three letters picked without replacement from {j: 9, m: 2, g: 2, f: 3}. What is prob of picking 3 f? 1/560 Two letters picked without replacement from aajjaaaaaaaaa. What is prob of p...
{ "pile_set_name": "DM Mathematics" }
5 Convert 2730.13713 nanoseconds to weeks. 0.000000000004514115625 What is seventeen halves of a kilometer in meters? 8500 What is 3/32 of a kilogram in milligrams? 93750 How many milliseconds are there in 14565.1 weeks? 8808972480000 Convert 1269.022 kilograms to grams. 1269022 What is 3/5 of a centimeter in micromete...
{ "pile_set_name": "DM Mathematics" }
a. Solve a*g = 29 - 9 for g. 5 Suppose -181*o - 1364 = -243*o. Solve k - 126 = o*k for k. -6 Let b be (-4)/(-22) - (-128)/22. Let d(c) = -4*c**3 - 10*c - 2 + 6*c**3 - 5 - b*c**2 - 15*c**2. Let x be d(11). Solve o = -x*o + 10 for o. 2 Let o = 34410 - 34004. Solve o + 50 = -57*v for v. -8 Suppose -4*g + 2*g - 22 = -3*v, ...
{ "pile_set_name": "DM Mathematics" }
at is the p'th term of 96, 109, 122? 13*p + 83 What is the p'th term of 81, 91, 103, 117, 133, 151, 171? p**2 + 7*p + 73 What is the u'th term of 705, 714, 725, 738? u**2 + 6*u + 698 What is the n'th term of -140, -142, -144, -146? -2*n - 138 What is the u'th term of 71, 143, 217, 293, 371? u**2 + 69*u + 1 What is the ...
{ "pile_set_name": "DM Mathematics" }
) Simplify ((n/(n*n**(-1/5)/n*n*n))/n*n**(1/8))**(-13)/((n**1)**(-2/43)*n**(2/21)*n**(-1)) assuming n is positive. n**(820873/36120) Simplify ((j**(-4/11)/j)/j*j*j**(13/3)*j**(-29)/(j/j**(-3)*j))**(-24/5) assuming j is positive. j**(8192/55) Simplify ((h/h**(2/17))/h*h*h/(h/(h**2*h))*h*h**(2/3)*h**(-4))/((h**2)**14)**(...
{ "pile_set_name": "DM Mathematics" }
6262 a multiple of 651? True Is 40449 a multiple of 2? False Does 28 divide 7504? True Is 135 a factor of 7051918? False Is 2521628 a multiple of 46? True Does 62 divide 522350? True Is 890 a factor of 1432770? False Is 60 a factor of 98502? False Does 13 divide 101673? True Does 817 divide 12402877? True Does 385 divi...
{ "pile_set_name": "DM Mathematics" }
d without replacement from {b: 3, u: 6, c: 2, j: 4, o: 3}? 1/34 What is prob of picking 1 r and 2 h when three letters picked without replacement from rhhhhhhhrhhrhhhrhh? 91/204 Four letters picked without replacement from qgggffgq. Give prob of picking 2 g and 2 f. 3/35 Calculate prob of picking 2 h when two letters p...
{ "pile_set_name": "DM Mathematics" }
i(u). -7 Let x be 0 + 0 + 21/3. Let t be 9/(72/(-64))*(2 - 3). Let p(y) = t*y - 23*y**2 + 0 + 22*y**2 - 4. What is p(x)? 3 Let x = -1676 - -1677. Let v(f) = -8*f**3 - 7*f**3 + 4*f**3. Calculate v(x). -11 Let q(x) = 11*x**2 + 9*x - 23. Let f(k) = -28*k**2 - 16*k + 46. Let i(v) = -2*f(v) - 5*q(v). Give i(10). -7 Let b(m...
{ "pile_set_name": "DM Mathematics" }
551 for h. -24 Solve 815*l - 27020 + 34735 + 46006 = -24519 for l. -96 Solve 3623 = -599*i + 12107 + 16075 for i. 41 Solve -2882*p = -2689*p + 18721 for p. -97 Solve 8364 = -128583*n + 128337*n for n. -34 Solve -616*b + 62455 = -2202*b - 1432*b + 343129 for b. 93 Solve 199*o + 51 = 214*o - 54 for o. 7 Solve 30377 = -1...
{ "pile_set_name": "DM Mathematics" }
x. 8 Express -4*z**4 + 6*z**3 + 3*z**4 + 2*z + 0*z**4 as n + w*z + p*z**3 + u*z**4 + q*z**2 and give w. 2 Express (3*c + 3*c - 3*c)*(3 - 6 - 1)*(3*c + 3*c - 3*c) as v + f*c**2 + o*c and give f. -36 Express -3*k**2 - 9*k**2 - 2*k**2 as r + l*k**2 + c*k and give l. -14 Express 6*g - 20 + 20 + (-3 + 1 + 4)*(5 - 1 + 1)*(g ...
{ "pile_set_name": "DM Mathematics" }
a**5 + t*a**5 wrt a? 360*a**2 Let m(i) = 3*i**4 + 2*i. Let q = -1 + -9. Let c be (-4)/q*(-13 - 2). Let s(p) = p**4 + p + 1. Let n(h) = c*s(h) + 3*m(h). Differentiate n(t) with respect to t. 12*t**3 Let u(p) = -29*p**2 - 11. Let r(s) be the first derivative of -19*s**3/3 - 7*s - 30. Let j(t) = 8*r(t) - 5*u(t). What is t...
{ "pile_set_name": "DM Mathematics" }
rue Does 55 divide (-264)/4*10*-1? True Suppose 11 = 4*q - 1. Let d = q + 11. Is 4/d - 26/(-7) a multiple of 4? True Let b = -18 + -2. Let p be ((-10)/b)/((-2)/(-8)). Suppose -p*a - 3*a = 5, -2*g - a = -47. Does 6 divide g? True Let s be 4 - ((0 - -3) + -1). Suppose -12 = s*m - 3*y, 0*y - 5*y = -2*m - 16. Does 15 divid...
{ "pile_set_name": "DM Mathematics" }
en two letters picked without replacement from wjjwwwwjwjjwjj? 7/26 Three letters picked without replacement from {v: 5, k: 5, u: 4}. Give prob of sequence vvu. 10/273 Three letters picked without replacement from scssswcssscttwwsss. Give prob of sequence csc. 5/408 Calculate prob of sequence wap when three letters pic...
{ "pile_set_name": "DM Mathematics" }
/(-4)*18/(-15)? 3/2 Calculate (-29 + 21)/(2/1). -4 What is ((-264)/32 - -9)/(3/2)? 1/2 Calculate 0 - (-4)/(-6)*99/22. -3 (-42)/(-8)*56/(-42) -7 What is the value of 880/(-825) + 4/10? -2/3 Evaluate (2 + -1)*(0 - 1). -1 Evaluate (5 + 264/(-55))*-5. -1 Calculate -3 + (-45)/(-5) - (0 - -12). -6 What is the value of 2/2 + ...
{ "pile_set_name": "DM Mathematics" }
3*s*u*w**2 - 96*s + u**2*w - 194*u*w**2 wrt s? 2*u**2*w - 3*u*w**2 - 96 Find the second derivative of -24*k*n**3 - 2*k*n**2 - k*n + 3*n**4 + 14*n wrt n. -144*k*n - 4*k + 36*n**2 What is the third derivative of -a*t**4 + 5*a*t**2 - a*t + 56*t**5 - 2*t**4 + 5*t**2 wrt t? -24*a*t + 3360*t**2 - 48*t Find the second deriva...
{ "pile_set_name": "DM Mathematics" }
hat are the prime factors of 71980? 2, 5, 59, 61 What are the prime factors of 16467021? 3, 757, 2417 What are the prime factors of 128674? 2, 7, 13, 101 What are the prime factors of 389920? 2, 5, 2437 What are the prime factors of 694388? 2, 67, 2591 List the prime factors of 796271. 7, 19, 5987 What are the prime fa...
{ "pile_set_name": "DM Mathematics" }
. Let b be m(8). Solve 0 = -b*r + p*r for r. 0 Let l be 15/(-3) + (3 + -8 - -44). Suppose 7*p = -10*p + l. Suppose -4*q = -q - 18. Solve 4*j + p = q for j. 1 Let y(c) = -2*c**2 - 18*c + 26. Let b be y(-9). Let l = 28 - b. Let q be (-10 + 10)*(2/8 - 0). Solve q*u = l*u for u. 0 Let w be (14 + 84/(-5))*(-7 - -2). Solve -...
{ "pile_set_name": "DM Mathematics" }
qrt(40) - (-4*sqrt(40)*2 - sqrt(40)))/sqrt(8)). -sqrt(17)/5 Simplify (-5*-2*sqrt(84) - (sqrt(84) - -5*(sqrt(84)*1 - sqrt(84))))/((sqrt(48)/sqrt(2))/sqrt(2)*-5). -9*sqrt(7)/5 Simplify ((sqrt(84)*3*3)/sqrt(12) - ((sqrt(7) - (sqrt(63)/sqrt(9) + 1)) + 4))**2. -54*sqrt(7) + 576 Simplify ((sqrt(504) + -5*sqrt(504))/sqrt(12))...
{ "pile_set_name": "DM Mathematics" }
-1*sqrt(208) + 2 + sqrt(208)))*-1)**2. 144*sqrt(13) + 913 Simplify -3 + -3*sqrt(153)*2 + sqrt(153)*-2*4 + 4 + -4. -42*sqrt(17) - 3 Simplify (6*(sqrt(378)/(sqrt(6) - sqrt(24)) + sqrt(7623) + sqrt(7623) + (1*sqrt(7623) - sqrt(7623))))/(((sqrt(81) - sqrt(81)*-1)*1)/(sqrt(144) + sqrt(144)*-2)). -252*sqrt(7) Simplify (-3 +...
{ "pile_set_name": "DM Mathematics" }
s) wrt s? 15*s**2 Find the second derivative of 6*l**3 + 26*l - 53*l + 18*l wrt l. 36*l Suppose 12 = 2*s + 4*z, -3*s = -4*z - 1 + 3. Differentiate -q + 0*q + 0*q - s with respect to q. -1 Suppose -4*q + 4*c = -8, -5*q + c + 7 = -3. Suppose q*j - 5*j = 0. Differentiate j*m**3 + 0*m**3 + 1 - m**4 + 0 with respect to m. -...
{ "pile_set_name": "DM Mathematics" }
168*h**3 - 826*h**2 wrt h. 504*h**2 + 2 Let t = 12 - 7. Let z be t/(-3*2/(-6)). Find the second derivative of -6 + 6 + 7*y + 2*y**z wrt y. 40*y**3 Let y(q) = 74*q**3 + 46*q**2 + 2*q. Let c(j) = -150*j**3 - 91*j**2 - 5*j. Let h(m) = -2*c(m) - 5*y(m). Find the third derivative of h(o) wrt o. -420 What is the second deriv...
{ "pile_set_name": "DM Mathematics" }
*8/19040 - o**7/21420 + o**4/3 - 24*o. Let y(z) be the third derivative of g(z). Factor y(p). 2*p**2*(p - 1)*(4*p + 1)/17 Suppose -2*j - 3*c = -45, 5*j - 7*c + 3*c = 55. Suppose -6*h = -h - j. Solve 9*l**5 - 39*l**4 - 30*l**2 + 2*l + 37*l**h + 15*l**2 + 6*l**4 = 0 for l. 0, 1/3, 1, 2 Let d(o) be the first derivative of...
{ "pile_set_name": "DM Mathematics" }
- 320093 = -6*p for p. 15 Solve 5*t + 67*t = -172*t + 2440 for t. 10 Solve -416 = -29198*f + 29302*f for f. -4 Solve -22*t = 87 - 21 for t. -3 Solve -1390*x = -1424*x + 340 for x. 10 Solve -307*c + 4169 + 436 = 0 for c. 15 Solve 44*q + 11*q + 17*q = 144 for q. 2 Solve 125*q - 186 - 382 = -318 for q. 2 Solve -22*o - 210...
{ "pile_set_name": "DM Mathematics" }
10 of a millennium in years? 900 What is 0.0826069 milligrams in kilograms? 0.0000000826069 How many minutes are there in twelve sevenths of a week? 17280 Convert 1.700573ml to litres. 0.001700573 How many seconds are there in 21/8 of a hour? 9450 How many weeks are there in 134.8573212 nanoseconds? 0.00000000000022297...
{ "pile_set_name": "DM Mathematics" }
l places. 1.066 What is -3236.385 rounded to the nearest ten? -3240 What is 1.97026 rounded to two dps? 1.97 What is -1671.68 rounded to the nearest 10? -1670 What is 2465824.7 rounded to the nearest 10000? 2470000 Round 0.0007161156 to five decimal places. 0.00072 Round -67378.16 to the nearest one thousand. -67000 Wh...
{ "pile_set_name": "DM Mathematics" }
ing 2 z and 1 v? 1/220 Three letters picked without replacement from {c: 16, d: 2}. What is prob of picking 3 c? 35/51 What is prob of picking 1 t and 1 d when two letters picked without replacement from {u: 1, m: 1, t: 1, e: 1, d: 1}? 1/10 What is prob of picking 1 h, 1 y, and 1 j when three letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
617 List the prime factors of 3013. 23, 131 What are the prime factors of 1995? 3, 5, 7, 19 List the prime factors of 10240. 2, 5 What are the prime factors of 9930? 2, 3, 5, 331 What are the prime factors of 45157? 7, 6451 List the prime factors of 200. 2, 5 What are the prime factors of 9393? 3, 31, 101 List the pri...
{ "pile_set_name": "DM Mathematics" }
0 Suppose -5*x + 44 = -226. Suppose -18*f - 2 + 92 = 0. Suppose -3*o - 8 = -w - o, -f*w = -3*o - x. What is the tens digit of w? 1 Let l be (3 - 7)/16 - (-69)/4. Let o(s) = 14*s + 37. What is the tens digit of o(l)? 7 Suppose 0 = u + 2*m - 98, 0 = u - 2*m - 69 - 41. Suppose -23 = 2*x + 31. Let c = u + x. What is the u...
{ "pile_set_name": "DM Mathematics" }
erm of 35897854, 35897868, 35897896, 35897944, 35898018, 35898124, 35898268? n**3 + n**2 + 4*n + 35897848 What is the y'th term of -11090012, -22180073, -33270132, -44360189, -55450244, -66540297? y**2 - 11090064*y + 51 What is the u'th term of -89991362, -89991361, -89991360? u - 89991363 What is the g'th term of 8579...
{ "pile_set_name": "DM Mathematics" }