text
stringlengths
270
8.19k
meta
dict
ppose k - 3*k - r + 148 = 0, -4*r = 4*k - 304. Let x = k + -358/5. Which is the closest to -1/2? (a) 1 (b) x (c) -1/5 c Let m be ((-4)/12)/((-2)/54). Which is the nearest to m? (a) -3/7 (b) 3 (c) 2/21 b Let n = 26 + -131/5. What is the nearest to 5 in 0.5, -5, n? 0.5 Let q = -1.2 + 1. What is the closest to 6 in ...
{ "pile_set_name": "DM Mathematics" }
he j'th term of 4287, 4337, 4417, 4527, 4667, 4837, 5037? 15*j**2 + 5*j + 4267 What is the z'th term of 323814, 323810, 323832, 323892, 324002, 324174, 324420, 324752? 2*z**3 + z**2 - 21*z + 323832 What is the j'th term of 12026, 96224, 324760, 769808, 1503542? 12029*j**3 - 5*j**2 + 10*j - 8 What is the d'th term of 26...
{ "pile_set_name": "DM Mathematics" }
e? (a) w (b) m (c) g a Let m be (1/(-2))/((-12)/8). Which is the second smallest value? (a) -1 (b) 2 (c) m c Let v = -205/3 + 69. Let n be -2*(-2)/4*(-3)/(-6). Let w = 0.31 + -0.01. What is the third smallest value in v, w, n? v Let i = 193 + -206.7. Let d = 13 + i. Let z = d + 4.7. Which is the second smallest v...
{ "pile_set_name": "DM Mathematics" }
= 0. Which is the nearest to -0.1? (a) f (b) u (c) 2/9 c Let d be -8 + 4 + (-3 - -4)*-1. Which is the closest to -3? (a) 2 (b) 0.3 (c) d c Let j = 0.06 - 0.09. Let x = 0.27 - j. Let u = -4 + 2. Which is the closest to 2/3? (a) 5 (b) u (c) x c Let w be (-12)/(-18)*6/(-8). Which is the closest to -3? (a) w (b)...
{ "pile_set_name": "DM Mathematics" }
rt x? -2520*x**3 - 60*x**2 Let i(w) be the first derivative of -w**4/4 + 2*w**3/3 + 45*w**2/2 + 2*w + 10. Find the second derivative of i(c) wrt c. -6*c + 4 Let h be (-8)/(-18) + 156/(-351). Let a(y) be the second derivative of -5*y**2 + h + 11/6*y**3 + 5*y. What is the derivative of a(j) wrt j? 11 Find the third deriv...
{ "pile_set_name": "DM Mathematics" }
t k be 6/(-15) - 17/(-5). Let z = -23 - -30. Solve -k*i + z = -c for i. 4 Let s be 84/24 - (-2)/4. Solve 3*a = s*a for a. 0 Let x = 73 + -68. Solve 0 = -7*g + 6*g - x for g. -5 Suppose -2*m = -5*t + 1, -5*m + 0*m + 4*t = -6. Let h = 3 + m. Solve 7 = -h*n - 13 for n. -4 Suppose 3*t = 2*t + 5. Let v(x) = -5*x - 2. Let j ...
{ "pile_set_name": "DM Mathematics" }
at is 10111110000110001110 (base 2) in base 11? 492003 -3a07938 (base 12) to base 10 -11459708 Convert 6619808 (base 10) to base 15. 8ab658 What is 22002202202020 (base 3) in base 2? 10000011011010001100100 12011101 (base 3) to base 7 13654 165528 (base 10) to base 12 7b960 -4355614 (base 7) to base 9 -1004841 Convert ...
{ "pile_set_name": "DM Mathematics" }
/(-2 - (-5 - 42/(-30))). 5/4 What is ((-6)/8)/((-27)/(-8))? -2/9 -1 + 1 - (4 + 5 + -4) -5 Calculate ((-96)/(-54))/8 - (-25)/9. 3 Evaluate -5 - (-49)/7 - 5. -3 What is 1 + (9 - 4) + -2? 4 Evaluate 6 + (-14 - -4)*(-2)/(-5). 2 Calculate 2 - (-8)/6*-6. -6 Evaluate 18/(-20) + 4/10. -1/2 Calculate -2 - (-141)/(-45) - (-4)/30...
{ "pile_set_name": "DM Mathematics" }
Does 5 divide d? False Let o(k) = -3 + 5 + 6*k - 5*k. Suppose 3*b = b + 2*i - 2, -5*b = 4*i - 40. Does 6 divide o(b)? True Suppose -5*y + 65 = -5*t, -t - 2 = -4. Is 4 a factor of y? False Let i = -7 - -3. Let h = i - -8. Is 2 a factor of h? True Let n = 25 - 28. Is 15 a factor of (5*n)/((-3)/6)? True Suppose 5*q + 3 =...
{ "pile_set_name": "DM Mathematics" }
+ 7*u + 4. Let i be (2 + -3 - 2)*-3. Suppose i*h = 4*h + 15. What is the remainder when x(-4) is divided by h? 2 Let c = -14 - -175. Calculate the remainder when c is divided by 27. 26 Suppose 4*b + m - 5*m = 320, -152 = -2*b - 2*m. Calculate the remainder when b is divided by 16. 14 Let h(x) = -2*x**3 - x**2 + x + 2. ...
{ "pile_set_name": "DM Mathematics" }
860. 58530861 0.02994255 - 0.022 0.00794255 What is -20.822 - -22285? 22264.178 What is -2757.8 take away 627.66? -3385.46 Work out -0.9 - 0.44919614. -1.34919614 What is -0.14 + -414689669? -414689669.14 What is 0.04 + 15173097? 15173097.04 What is -1250363824.8 minus 0.1? -1250363824.9 3779.8358 + 140.3 3920.1358 Sum...
{ "pile_set_name": "DM Mathematics" }
be the third derivative of 6*v**2 + 0 + 0*v**3 + 0*v**4 + 0*v + o*v**5. Calculate k(g(p)). 18*p**4 Let z(x) = -3*x**2 + 13*x. Let s(a) = 884*a. Calculate s(z(j)). -2652*j**2 + 11492*j Let p(m) = 3*m + m - 3*m. Let w(q) = 11*q**2 + 55*q**2 + 14*q**2 - 94*q**2. Give w(p(j)). -14*j**2 Let l(n) = -63*n**2. Let f(m) = 13*m ...
{ "pile_set_name": "DM Mathematics" }
he square root of 4964 to the nearest integer? 70 What is the square root of 25877 to the nearest integer? 161 What is 966 to the power of 1/10, to the nearest integer? 2 What is 1084 to the power of 1/2, to the nearest integer? 33 What is the seventh root of 7921 to the nearest integer? 4 What is 64 to the power of 1/...
{ "pile_set_name": "DM Mathematics" }
he nearest one million? 14000000 Round -11.812186 to 1 decimal place. -11.8 Round -292338.6 to the nearest 1000. -292000 What is 66284.34 rounded to the nearest 1000? 66000 What is 0.13038347 rounded to 3 dps? 0.13 Round -15938800 to the nearest 100000. -15900000 Round -0.00000080584 to 7 decimal places. -0.0000008 Rou...
{ "pile_set_name": "DM Mathematics" }
s -3130 (base 5) in base 11? -348 Convert -10203 (base 6) to base 11. -1037 What is -74 (base 11) in base 3? -10000 16324 (base 9) to base 12 6594 -1ae (base 16) to base 4 -12232 Convert 10453 (base 8) to base 15. 1480 Convert 2eb8 (base 16) to base 4. 2322320 210031 (base 6) to base 10 16867 c88 (base 15) to base 6 21...
{ "pile_set_name": "DM Mathematics" }
13)/(q*q**(2/55)) assuming q is positive. q**(-772/55) Simplify ((w/(w**8*w))/w*w*w**(-4/11)*w*w)**(-34) assuming w is positive. w**(2380/11) Simplify (q*q/q**(2/47))**(1/16) assuming q is positive. q**(23/188) Simplify (t**3/(t*t/(t/t**6*t)))/(t/(t/t**(-1)))**(10/11) assuming t is positive. t**(-23/11) Simplify (s**4/...
{ "pile_set_name": "DM Mathematics" }
List the prime factors of 1137143761. 13, 61, 991, 1447 List the prime factors of 3522238209. 3, 7, 41, 454541 What are the prime factors of 112379604? 2, 3, 19, 492893 What are the prime factors of 1418643736? 2, 179, 990673 List the prime factors of 290713221. 3, 32301469 What are the prime factors of 19626756? 2, 3...
{ "pile_set_name": "DM Mathematics" }
5 for k. -3 Suppose 5*m = 4*w - 11, -5*w + 7 = 3*m - 16. Solve 0 = 4*t + 3 + m for t. -1 Suppose 0 = -2*c - 0*c. Suppose 0*r - 2*a - 4 = 2*r, -4*r + 4*a + 32 = 0. Suppose c = -r*k + 4 + 2. Solve k*f - 4*f = 6 for f. -3 Let c(f) = -f**2 + f + 56. Let l be c(-7). Solve l*x + 6 = 3*x for x. 2 Let c(d) be the third derivat...
{ "pile_set_name": "DM Mathematics" }
t = 0.6 - 0.9. Which is the smallest value? (a) t (b) x (c) q b Suppose -4*d = -9*d + 15. Let z = 24 - 20. Which is the third smallest value? (a) -5 (b) d (c) z c Let c = -5.03 + 1.03. What is the second biggest value in 4, -1, c? -1 Let y = -21 - -17. What is the smallest value in 2, -3/8, y? y Let m be (-1)/(-...
{ "pile_set_name": "DM Mathematics" }
68.6. Let t = 2.9 - m. Let r be 2*(-6)/(-28) - -1. Put 2, t, r in descending order. 2, r, t Let g(y) = 10*y + 3. Let b be g(0). Let d = -15 - -16. Let t be ((-12)/(-15))/(d/(-5)). Sort t, b, 4, -2 in increasing order. t, -2, b, 4 Let m(n) = n**3 + 7*n**2 - 10*n - 12. Let k be m(-8). Let w = 94 - 88. Let a(s) = -s**2 + ...
{ "pile_set_name": "DM Mathematics" }
ve of y(o) wrt o? 102*o Let d(z) be the second derivative of -1/6*z**4 - 5*z + 3/2*z**2 + 0*z**3 + 0. Differentiate d(l) with respect to l. -4*l What is the second derivative of -21*l + l - 2*l**3 - 5*l**3 + 3*l**3 wrt l? -24*l Let n be 0/(2*((-12)/8 - -2)). Let y(a) be the second derivative of -4*a + 1/5*a**5 + 0*a**3...
{ "pile_set_name": "DM Mathematics" }
**2 + f + 18. Let p = 658 + -667. What is a(p)? 9 Let u be (14/42)/((-2)/(-18)). Let o(l) = -2*l + 8. What is o(u)? 2 Let w(q) = -q + 6. Suppose y - o = 3*o - 1, -31 = -2*y - 3*o. What is w(y)? -5 Let l(g) = -13*g**2 + 3*g - 3. Suppose 0 = v + 4*q + 18, 3*q + 10 = q. Calculate l(v). -49 Let n = -1833 + 1829. Let s(c) =...
{ "pile_set_name": "DM Mathematics" }
hird derivative of -11*s**8/112 + 4*s**7/5 - 79*s**6/40 + 17*s**5/10 - 4*s**2 + 4*s - 101. Factor p(d). -3*d**2*(d - 1)**2*(11*d - 34) Let d(y) be the first derivative of -y**5/15 + 7*y**4/12 + 79*y**3/9 - 7*y**2/6 - 26*y - 4343. Suppose d(v) = 0. What is v? -6, -1, 1, 13 Factor -152/3 - 1/3*d**2 - 51*d. -(d + 1)*(d + ...
{ "pile_set_name": "DM Mathematics" }
(sqrt(3)*-4)**2)*-6 + -1. -697 - 47*sqrt(3)/8 Simplify 4*1*(sqrt(300) - 3*sqrt(300)*-3)/(sqrt(8)/sqrt(18) - -2*sqrt(484)). 600*sqrt(3)/67 Simplify (3 + ((-2*sqrt(833)*-4 - (sqrt(833)*-2 + 0)) + (-5 + -5 + sqrt(833))*-2)*5)**2. 57680*sqrt(17) + 1343409 Simplify -2 + ((((sqrt(120)*-2 - sqrt(120)) + sqrt(120))*-2)/sqrt(6...
{ "pile_set_name": "DM Mathematics" }
/3 What is the value of 5*(4 - (2 - (-3)/5))? 7 What is ((-40)/140)/(19/(-7) - -1)? 1/6 What is 2 + (-2)/3 + 112/(-12)? -8 Calculate (-303)/404*4/1. -3 (-1)/4 - (-324)/(-48) -7 What is the value of -4 - (2/(-4) - 120/16)? 4 4 + (-4*(-6)/(-30) - 4) -4/5 What is the value of 0*(0 + -1)/(-21 - -26)? 0 What is (-68)/16 + 2...
{ "pile_set_name": "DM Mathematics" }
+ -6*(1*sqrt(19) + -4 - (sqrt(133)*-2 - sqrt(133))/sqrt(7)). -24*sqrt(19) + 21 Simplify (4*sqrt(50)*2 + -1)**2*-2*-5. -800*sqrt(2) + 32010 Simplify -3*((-1*sqrt(6776)*-5)/(sqrt(72)*2*4 + sqrt(72)))**2. -21175/243 Simplify (sqrt(304)/sqrt(128))/(sqrt(242)*1) + (0 + -1*sqrt(19) + -1)*4. -175*sqrt(19)/44 - 4 Simplify (3*s...
{ "pile_set_name": "DM Mathematics" }
01394 a Which is the biggest value? (a) -1/2 (b) -3/8 (c) -3.969 (d) -285 b Which is the second biggest value? (a) -42.3 (b) -29 (c) -63 (d) 4 (e) 0.04 e Which is the second biggest value? (a) -0.5 (b) -423698 (c) -1/6 (d) -0.2 d Which is the smallest value? (a) 9/634 (b) -24 (c) 1/2 (d) -1 (e) 2/5 (...
{ "pile_set_name": "DM Mathematics" }
28 Solve -84 = 25*u + 41 for u. -5 Solve -3221*l + 3273*l = 988 for l. 19 Solve -8294 = -32*r - 8294 for r. 0 Solve -2145 = -115*h - 6055 for h. -34 Solve 0 = -p - p - p for p. 0 Solve 41*d + 60 - 17 = -80 for d. -3 Solve 1106 = -47*m + 1952 for m. 18 Solve 471*t + 166*t + 148*t + 10205 = 0 for t. -13 Solve 532*z - 12...
{ "pile_set_name": "DM Mathematics" }
a. Is j(f) a prime number? True Let v(y) = y - 3*y - 1 - 3*y**3 + y + 0*y. Let q be v(-1). Let n = q + 88. Is n composite? True Let y(j) = -8*j**3 + j**2 + 2*j + 1. Let d be y(-1). Suppose d = b - 6. Is b a prime number? False Let b(y) = 8*y - 9. Let c be b(7). Suppose s - 5*f = 75, -s = 2*f - 0*f - c. Is s a prime num...
{ "pile_set_name": "DM Mathematics" }
**5/5 + 9*j**4/2 - 224*j**3/9 - 92*j**2 - 96*j + 580. What is c in z(c) = 0? -4, -1, 6 Suppose 4*k - 17 = -5. Solve 4 + k*c - 20*c**2 + 7*c**3 + c**2 + 5*c + 0*c**2 = 0 for c. -2/7, 1, 2 Factor -o + 11*o + 5*o**5 - 35*o**2 - 80*o**4 + 55*o**4 + 54*o**3 - 9*o**3. 5*o*(o - 2)*(o - 1)**3 Let g be (-9 - (-12 + 15))*(-1)/20...
{ "pile_set_name": "DM Mathematics" }
) = -o**3 + 6*o**2 - 4*o. Let r be g(4). What are the prime factors of ((-8)/r)/((-2)/24)? 2, 3 List the prime factors of 10/45 - (-1742)/18. 97 What are the prime factors of 0 - ((-4 - -1) + -109)? 2, 7 Suppose 0 = 4*t + 4*h - 356, t + h - 65 = 6*h. List the prime factors of t. 5, 17 Let c = 11 + -8. Suppose 0 = -k + ...
{ "pile_set_name": "DM Mathematics" }
lculate g(12). -2 Let c = 1 + 2. Let p be 9/c - (2 + 3). Let h(y) be the third derivative of y**6/120 + y**5/30 + y**4/8 + 5*y**2. Give h(p). -6 Suppose 0 = -2*d - 5*y + 55, -2*y = -2*d + 3*d - 26. Let z(u) = d - 23 + 4*u + 0*u - 5*u. What is z(-8)? 5 Suppose 2*l - 5*d = -7, -5*l - 2 + 0 = 3*d. Let i(p) = -9*p - 2. Giv...
{ "pile_set_name": "DM Mathematics" }
or 0.9? -201 Is -76 less than or equal to 54? True Do 910/19 and 49 have different values? True Which is smaller: 1 or 1/40441? 1/40441 Which is bigger: 32/631 or 1? 1 Is 4273 <= 4274? True Is -685 bigger than -675? False Which is greater: 2/3035 or -1? 2/3035 Which is bigger: 26320 or 2? 26320 Which is greater: -0.6 o...
{ "pile_set_name": "DM Mathematics" }
ppose x - 2414 + 519 = 4*l, -4*l - 5669 = -3*x. Calculate the greatest common divisor of 51 and x. 51 Let k be (-120)/((-13 + 8)*3/(-15)*-2). What is the highest common divisor of 8340 and k? 60 Let z(l) = l**2 + 18*l - 145. Let u be z(11). Let r = -168 + u. What is the highest common factor of 39 and r? 3 Let x = 1117...
{ "pile_set_name": "DM Mathematics" }
284. -1465.56 0.02 times 1678.5 33.57 What is 0.157 times -46.42? -7.28794 What is 836588 times -1? -836588 Multiply -57555 and -7. 402885 What is -40.5 times -45? 1822.5 What is the product of 0.2 and 42904? 8580.8 Work out -50.99 * -312. 15908.88 1.725 * -14 -24.15 Multiply -90 and -193.8. 17442 Product of 3 and 0.05...
{ "pile_set_name": "DM Mathematics" }
rs of 682173? 3, 75797 List the prime factors of 12123403. 631, 19213 List the prime factors of 2399550. 2, 3, 5, 17, 941 List the prime factors of 72324. 2, 3, 7, 41 List the prime factors of 19615999. 13, 19, 41, 149 What are the prime factors of 6101616? 2, 3, 317, 401 List the prime factors of 474504. 2, 3, 17, 116...
{ "pile_set_name": "DM Mathematics" }
t**3 wrt t? 204 Let i be (-221)/(-39) + ((-4)/(-6))/2. Suppose 5*z = w + 5, -z + i*z + 4*w - 5 = 0. Find the first derivative of -160*g + 154*g - z + 2 wrt g. -6 Suppose 5*w = i + 681 - 176, 4*w - 2*i - 410 = 0. Find the first derivative of -8*z**4 + w + 5*z**4 - 18*z**3 - 10 wrt z. -12*z**3 - 54*z**2 Find the third de...
{ "pile_set_name": "DM Mathematics" }
t to u? (a) -4 (b) 3/2 (c) 0.4 c Let p = -3.95 - 0.05. Let m = -1.05 - -0.05. Let k = p - m. Which is the nearest to 1/3? (a) 0.2 (b) k (c) -0.2 a Let k = -0.04 - 0.06. Suppose 5*z - 2*z - 15 = 0. Suppose 3*u - 11 = -3*o + 2*o, z*o - 16 = -2*u. Which is the nearest to k? (a) -2/17 (b) o (c) 0 a Let u be 14/(-1...
{ "pile_set_name": "DM Mathematics" }
a(f) = -19*f**3 - 8*f**2 + 11*f. What is 6*a(i) - 13*x(i)? 3*i**3 + 4*i**2 + i Let j be (3/(-3))/(2/22). Let o(t) be the first derivative of t**4 - 2*t**3/3 + 296. Let v(m) = 21*m**3 - 11*m**2 - 1. Calculate j*o(a) + 2*v(a). -2*a**3 - 2 Let c(v) = -v**2 + 9*v - 9. Let t(y) = -4*y + 4. Calculate 2*c(h) + 5*t(h). -2*h**...
{ "pile_set_name": "DM Mathematics" }
n**3 + n**2 - n + 13 + n**3 - 19. What is -l(k) + 6*o(k)? 17*k**3 + 3 Let y(z) = -67*z + 2469. Let w(l) = -6*l - 2. Give 11*w(d) - y(d). d - 2491 Let u(j) = 7*j**2 - 11*j + 9. Let f(r) = -4*r**2 + 6*r - 5. Calculate 5*f(p) + 3*u(p). p**2 - 3*p + 2 Let o(u) = 1 + 0 + 8*u**2 + 0*u**2 - u. Let p be o(1). Let h(x) = 0 - 5*...
{ "pile_set_name": "DM Mathematics" }
enturies. 0.1508679 What is three tenths of a litre in millilitres? 300 What is 288503.61 months in decades? 2404.19675 Convert 75.2894 nanometers to centimeters. 0.00000752894 How many years are there in 121384.71 months? 10115.3925 Convert 1679.244 nanograms to kilograms. 0.000000001679244 How many nanograms are ther...
{ "pile_set_name": "DM Mathematics" }
3989*a + 7 - 8010*a - 103*a**2 as d + i*a + x*a**2 and give d. 7 Rearrange ((0 - 2 + 3)*(-3 + 5 - 3) - 3 + 1 + 1 + (-2 + 4 - 3)*(-2 - 4 + 4) + 0 + 2 - 3 + 0 - 4 + 30)*(0 + 0 - l)*(3 - 3 - l) to d*l**2 + z + w*l and give d. 25 Express -993*u - 6*u**2 - 73876102 + 73876102 in the form p + w*u**2 + q*u and give w. -6 Exp...
{ "pile_set_name": "DM Mathematics" }
n 3, -147, o? -147 Let u = 170 - 169.9. Which is the second smallest value? (a) 3/2 (b) -280 (c) u c Let y = -1.16 - 2.84. Let h = 4 - 5. What is the second smallest value in h, y, 1/9, -0.1? h Let n = -0.95 - -42.65. Let f = 42 - n. What is the second smallest value in -3, 0.08, f? 0.08 Let g be (-8)/100 + (162/150...
{ "pile_set_name": "DM Mathematics" }
2. Suppose 0 = 4*l + 12, -1 + 4 = 3*f - l. Suppose f = -0*n + 3*n - 15. Solve -p = n*b - 4*b - y, -b = -4*p - 13 for p. -2 Let v = -478 + 480. Solve m = -5*b + v*m + 16, 2*b = -5*m + 1 for b. 3 Let m be (65/26)/((-2)/(-4)). Solve -4*b - f = 0, f = m*b + 5*f + 11 for b. 1 Suppose 0*v + 20 = 5*k + 5*v, 4*k - 16 = v. Supp...
{ "pile_set_name": "DM Mathematics" }
-2*t(h) - 3*x(h). Determine -2*j(b) - q(b). 5*b Let y(w) = w**2 - 6*w + 3. Let g = 146 - 138. Suppose -24 = 3*t + 3*l, 4*l + 12 + g = 0. Let u(v) = 5*v - 2. Determine t*u(m) - 2*y(m). -2*m**2 - 3*m Let s(t) = 12*t**2 + 4*t - 1. Let d be 36/21 + 3 + (-114)/42. Let j(f) = 1 - 5*f - 2*f + 10*f - 11*f**d - 6*f. Determine 6...
{ "pile_set_name": "DM Mathematics" }
hest common factor of 32 and 443232. 32 What is the greatest common factor of 15 and 4928835? 15 Calculate the highest common divisor of 416 and 1528. 8 Calculate the greatest common factor of 92118 and 4134. 78 Calculate the highest common divisor of 7 and 29827. 7 Calculate the greatest common factor of 340 and 85780...
{ "pile_set_name": "DM Mathematics" }
. What is j? -405, -18, 1, 3 Let 16*w**5 - 1172*w**4 + 14072*w**3 + 278684*w**2 + 510384*w + 246960 = 0. Calculate w. -35/4, -1, 42 Factor 3*p**3 + 3015*p**2 + 26916*p + 23904. 3*(p + 1)*(p + 8)*(p + 996) Find u such that 3*u**3/4 + 7380*u**2 + 18154800*u = 0. -4920, 0 Solve 2*j**5/11 + 288*j**4/11 - 630*j**3/11 - 6740...
{ "pile_set_name": "DM Mathematics" }
- 2*g))*(2 + g + 0*g + 0) as d + y*g**2 + u*g + m*g**3 and give y. -78 Rearrange g**2 + 658 - 153 + 1566 to y*g**2 + t + l*g and give t. 2071 Express 0*s**2 + 62 + 48 - s**2 + 22*s - 148 + 58 in the form n*s + i + c*s**2 and give n. 22 Rearrange -1 - 493*g**2 - 1 + 5 - 4 - 1 to the form k*g + j*g**2 + q and give k. 0 R...
{ "pile_set_name": "DM Mathematics" }
= 42 - 14. Suppose 4*z = -2*u, -3*u + 5*z + k = -2*u. What is s(u)? -7 Let t(y) = -2*y**3 - 14*y**2 - 5*y + 24. Let h(v) = -v**3 + 4. Let z(a) = -6*h(a) + t(a). Let d be z(4). Let b(p) = -2*p + 13. Give b(d). -11 Suppose -5*d = -5*p - 20, 2*p - 4*p - 6 = -d. Suppose -f = -d*f + 2*c + 3, 5*f - c - 6 = 0. Let i(q) = -16*...
{ "pile_set_name": "DM Mathematics" }
987 = -p. Is p composite? True Let c(p) = -302*p**3 - 4*p**2 + 33*p + 286. Is c(-9) composite? False Let p(y) = 893*y**3 + 4*y**2 - 16*y + 127. Is p(8) a prime number? False Suppose 620321 + 408735 = 78*f - 689362. Is f a prime number? True Suppose d = -3*t + 197, 4*d - 713 = 2*t + t. Suppose d*n + 3812 = 186*n. Is n p...
{ "pile_set_name": "DM Mathematics" }
l. 1 Solve 2742*b - 2750*b = 72 for b. -9 Solve 2*c + 20 = 6*c for c. 5 Solve 5*x - 109 = -104 for x. 1 Solve s - 2*s = 3 for s. -3 Solve 2 = 7*a - 6*a for a. 2 Solve -6*j - 13 = 5 for j. -3 Solve 11*v - 7 = -18 for v. -1 Solve -6*k + 20 = 44 for k. -4 Solve 281*c + 7 = 274*c for c. -1 Solve -30*f - 60 = -20*f for f. -...
{ "pile_set_name": "DM Mathematics" }
of ((-13756)/9050)/((-2)/(-25))? -19 (-170)/(-16)*(-14256)/(-17820) 17/2 What is ((((-1584)/128)/33)/(75/(-160)))/(4/150)? 30 ((-1842)/(-27937))/(30/(-39)) -3/35 Evaluate ((-32)/88)/(5/55)*22/4. -22 What is the value of ((-42)/35*(-700)/60)/(6/(-12))? -28 What is the value of (3/54)/(12*((-126)/(-9))/(-56))? -1/54 Wha...
{ "pile_set_name": "DM Mathematics" }
(3 + 4 - 5)*(0 - 2*s**2 + 0) - s**2 - 3*s + 3*s - 3*s**2 - s**2 + 5*s**2 + 4 + 10*s**2 + 3 - 5. 6*s**2 + 2 Expand (-3*y - 6*y**2 + 3*y)*(-y**2 + 3*y**2 + 0*y**2) + 3*y**3 - 2*y**4 - 3*y**3. -14*y**4 Expand (2 - 6*r - 2)*((-2 + 3 - 2)*(1 - 4 + 1) + 5 + 1 - 3). -30*r Expand (-3 + 3 - 2*a**2)*(3 - 3 - a) - 4*a**2 + 4*a**2...
{ "pile_set_name": "DM Mathematics" }
*h + g*h**2 and give r. 25 Rearrange (n + n - 3*n)*(-2 + 6 + 2)*(0*n + 3*n - n) + 0*n**2 - 9*n**2 + 2*n**2 to g*n**2 + y*n + o and give g. -19 Rearrange (-3 - 5 + 4 - 2*t)*(-t - 4*t + 2*t)*(0*t + 3*t - 4*t) to the form s + r*t**3 + n*t**2 + v*t and give r. -6 Express -9*s**4 + 22*s**4 + 15*s**4 + (-4*s + s + 6*s)*(0*s*...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 54 What is the sixth root of 3039141 to the nearest integer? 12 What is the eighth root of 9656818 to the nearest integer? 7 What is 172972 to the power of 1/2, to the nearest integer? 416 What is the tenth root of 1282638 to the nearest integer? 4 What is 15916285 to the power of 1/2, to the ne...
{ "pile_set_name": "DM Mathematics" }
third smallest value? (a) 0 (b) 50 (c) 1/14 b What is the fifth smallest value in 2, -128, 1, -1, -2/9? 2 What is the fourth biggest value in 0.05, -2/23, -7, -5, -4? -5 Which is the biggest value? (a) -4 (b) 0.5 (c) -14 (d) 4 (e) -82/3 d Which is the third smallest value? (a) -1/8 (b) -1/2 (c) 3/2 (d) 2 c...
{ "pile_set_name": "DM Mathematics" }
f 301336? 2, 7, 5381 List the prime factors of 439833. 3, 271, 541 List the prime factors of 986084. 2, 11, 73, 307 What are the prime factors of 1332916? 2, 13, 25633 List the prime factors of 19296111. 3, 6432037 What are the prime factors of 757231? 17, 44543 What are the prime factors of 242518? 2, 121259 List the ...
{ "pile_set_name": "DM Mathematics" }
-14551. Let p = y - j. Put p, -2/9, 2 in ascending order. p, -2/9, 2 Let v be (-1491)/(-1988) + (-3)/(-4)*11. Put 32, 2, v in decreasing order. 32, v, 2 Let f(n) = 4*n + 152. Let y be f(30). Suppose 41*s - y = 425. Sort 3, -1, s in decreasing order. s, 3, -1 Suppose -3*p + 5*r - 2 + 17 = 0, -5*p + 5*r = -25. Suppose 5...
{ "pile_set_name": "DM Mathematics" }
*w - 36. Let s be v(6). Suppose 17*m - s = 15*m. Suppose -6*i + m = -132. Calculate the remainder when i is divided by 18. 16 Suppose -k - 366 = 65. Let y = k - -479. What is the remainder when y is divided by 3? 0 Let j(a) = -465*a**2 - 23*a + 24. Let l be j(1). Let n = -460 - l. What is the remainder when 116 is divi...
{ "pile_set_name": "DM Mathematics" }
. -3.52781 Calculate 1116 + 2.1771. 1118.1771 383.533515 + 0.2 383.733515 What is -7.5 - -25759231? 25759223.5 What is -0.0543 - -10022.5596? 10022.5053 Calculate -30.93 + 27034. 27003.07 -27.963625+-0.84 -28.803625 Calculate 8.81 - 177695. -177686.19 What is 4 - 36051.85837? -36047.85837 What is 65188.31 plus 402? 655...
{ "pile_set_name": "DM Mathematics" }
1797 - ((-8)/s)/((-4)/10) composite? False Let s(d) = 985*d**2 + 2*d. Is s(-1) a composite number? False Let w = 8885 + -1948. Is w a composite number? True Is (-118375)/(-2) + 126/36 a prime number? False Suppose 6*k + 596525 = 31*k. Is k a prime number? False Let x(h) = -h**2 - 6*h. Let i be x(-5). Suppose 90 = -i*d ...
{ "pile_set_name": "DM Mathematics" }
implify ((g/(g/g**(-1)))**(-3/14))**(-11)*((g*g/g**6)/(g/g**(2/7)))/(g*(g*g**(-2/7)/g)/g)**(3/19) assuming g is positive. g**(-267/38) Simplify (((m*m**(4/3)/m)/(m*m/(m**(-9)/m))*m/(m**(3/5)/m)*m*m/m**4)**(-6/5))**0 assuming m is positive. 1 Simplify (v**(-2/17)/(v/(v/v**(-2))))**(48/7)/(((v*v**1)/(v/(v/(v**(1/2)*v))))...
{ "pile_set_name": "DM Mathematics" }
he prime factors of j. 5, 73 Let j(s) = 26*s**2 + 6*s + 14. Suppose 7*g - 36*g - 87 = 0. List the prime factors of j(g). 2, 5, 23 Let n(l) = 1482*l + 5753. List the prime factors of n(12). 23537 Let a = -393 - -445. Suppose 31*j = a*j - 14322. What are the prime factors of j? 2, 11, 31 List the prime factors of (-1 + -...
{ "pile_set_name": "DM Mathematics" }
/(o/(o/o**(-2/63))*o*o*o*o*((o/(o/(o*o/(o/o**(-23/4)))))/o)/o) assuming o is positive. o**(-81607/3276) Simplify (a**(-7)*a)**(-32)*(a**7*a)**(-26) assuming a is positive. a**(-16) Simplify b**(-11)/b*(b**(-6/5)/b*b)/b*(b*b/(b*b**(-6/11)*b*b*b))**6 assuming b is positive. b**(-1261/55) Simplify ((r*(r*r*r*r/((r**6/r)/r...
{ "pile_set_name": "DM Mathematics" }
= u - 72. What are the prime factors of b? 11, 19 Suppose 4*z - 4*h - 86140 = 0, -2*z = -h - 42663 - 408. List the prime factors of (z/160)/(2/10). 673 Let w be 5/(10/1797) + 99/(-66). Suppose -q + 46 = -w. List the prime factors of q. 23, 41 Let p = 7806 + 10365. List the prime factors of p. 3, 673 Let h(i) = -4*i - 3...
{ "pile_set_name": "DM Mathematics" }
(c) -3 b Let t = -49.42 - -49. Let l = -0.02 - t. Which is the smallest value? (a) l (b) 3/5 (c) -0.2 c Let d = 2.7 - 3. Which is the second biggest value? (a) -8 (b) 0.3 (c) d c Let z = -372313/15799 - -876/37. Let i = z - -2/61. Let k = 177.4 + -177. Which is the second biggest value? (a) i (b) 1 (c) k c L...
{ "pile_set_name": "DM Mathematics" }
-797 (b) -4 (c) 1 (d) -3 b What is the third smallest value in 18, 35, 3? 35 What is the second smallest value in 3/7, 1/4, -1/6, -23/6? -1/6 What is the second biggest value in 0.3, 5, 514, 4? 5 What is the biggest value in -0.5, -43, -3? -0.5 Which is the smallest value? (a) 0.2 (b) 2/5 (c) -2 (d) 4/5 c Which...
{ "pile_set_name": "DM Mathematics" }
7*w + 3*w. Sort w, f, -1 in descending order. w, -1, f Let y = 92 - 171. Let l = y - -76. Put 2, -2, l in ascending order. l, -2, 2 Suppose 2*x - 29 = 5*a, -8*x + 2 = -7*x. Let g be 0 + (-3 - (4 - 4)). Sort 2, g, 0, a. a, g, 0, 2 Let f be 84 + 5 + (-1*6 - -3). Suppose -k - f = -82. Put 3, -3, 4, k in descending order. ...
{ "pile_set_name": "DM Mathematics" }
). 21/4 Calculate 46200/13860 - (-200)/(-6). -30 Evaluate ((1/(-2) - -1)*2/3)/((-162383)/3897192). -8 What is the value of (6/(-16))/((-21297)/(-624712))? -11 Evaluate (20/48)/(2*((-459)/(-216) + -2)). 5/3 Evaluate ((-177)/15 + -11)/((-24)/(-80)). -76 What is (-8 - 8330/(-646)) + ((-4)/19)/(-2)? 5 What is (-2)/21*(16/(...
{ "pile_set_name": "DM Mathematics" }
168, -6, 6 Put 6, -25, 1, -1 in ascending order. -25, -1, 1, 6 Sort 5, 9, 1, -2 in increasing order. -2, 1, 5, 9 Sort -0.4, -2, 0.4, 5053 in ascending order. -2, -0.4, 0.4, 5053 Sort -3, -0.1, -1, 1 in ascending order. -3, -1, -0.1, 1 Sort -33, 5, -1 in decreasing order. 5, -1, -33 Sort -408, -4, 2, 0 in descending ord...
{ "pile_set_name": "DM Mathematics" }
(20/9) assuming b is positive. b**(-2165/18) Simplify p**(-8)*p*p**(1/3) assuming p is positive. p**(-20/3) Simplify (g*g**(1/3)/g)**(-4/21)/((g/(g**(-1/3)*g))/((g*g*g**(-6)*g)/g)) assuming g is positive. g**(-277/63) Simplify (t/(t**(-5/14)*t))/(t**(-34)/t) assuming t is positive. t**(495/14) Simplify (q*q**(-7))/q**1...
{ "pile_set_name": "DM Mathematics" }
/9). -6 Calculate 1222/752 + (-3)/(-8). 2 What is the value of -3*(-4 + 3*170/126)? -1/7 What is (-4 - 5) + 36/6? -3 What is (-1)/((-11)/((-396)/48))? -3/4 Calculate 2/(-4)*1 - (-88)/176. 0 What is the value of 8 + -7 - (0 - 2)? 3 Evaluate 14/(-12)*1*128/(-224). 2/3 Evaluate 9/(-1) - (22 - 25). -6 Calculate (-6)/(-8)*(...
{ "pile_set_name": "DM Mathematics" }
9 What is -0.00136418 rounded to 5 dps? -0.00136 What is -2.1474 rounded to two decimal places? -2.15 What is 0.000016292 rounded to seven dps? 0.0000163 Round 0.00016946 to 6 dps. 0.000169 Round 34770000 to the nearest one hundred thousand. 34800000 Round 1906100 to the nearest one million. 2000000 What is 0.00000906 ...
{ "pile_set_name": "DM Mathematics" }
the smallest common multiple of 792 and 5148? 10296 Calculate the least common multiple of 6396 and 195. 31980 Find the common denominator of -101/98 and -95/318. 15582 Calculate the smallest common multiple of 508704 and 6813. 1526112 What is the common denominator of -67/34260 and 13/47964? 239820 What is the common ...
{ "pile_set_name": "DM Mathematics" }
Is n a composite number? True Is ((-19)/(-3))/(4/12) composite? False Let x(i) = i**2 - 7*i + 2. Let n = 16 - 9. Let u be x(n). Suppose u*z + z - 99 = -5*j, 5*z + 10 = 0. Is j a composite number? True Is (24/9)/(14/21) + 1981 prime? False Suppose -4*y = -3*y. Is (y - (2 - 36))*1 a composite number? True Let j(n) = -4*n...
{ "pile_set_name": "DM Mathematics" }
the third biggest value in z, 3, p, -3? p Let x be (-198)/44*(0 + -6). Let g be (2/(-9))/1 - (-141)/x. Let u = -0.47 + -0.03. What is the third smallest value in 4, g, u? g Suppose r = -70 + 73. Which is the smallest value? (a) r (b) 1/3 (c) 220 b Let p = 0 - 0.01. Let q = 5160 - 5159. What is the biggest value in q...
{ "pile_set_name": "DM Mathematics" }
erivative of o(l) wrt l. 186 Let y(j) = 4863*j**2 + 5*j + 8136. Let t(r) = -2440*r**2 - 2*r - 4065. Let f(b) = 15*t(b) + 6*y(b). Find the first derivative of f(k) wrt k. -14844*k Let b be (-1 + 6)/(10 + -75*(-11)/(-99)). Let x(d) be the first derivative of -25 + 0*d**2 + 13*d - 16/3*d**b. Differentiate x(k) with respec...
{ "pile_set_name": "DM Mathematics" }
is smaller: t or l? t Suppose 5*n = -5*f + 2*n + 4, -4*n - 2 = 3*f. Let u = -6 + 2. Let y be (u/(-12))/(1/15). Which is smaller: y or f? f Suppose 542 = -10*j - 2038. Let v be (4 - (-1809)/j) + (-9)/(-3). Which is smaller: 1 or v? v Let o = 235 - 143. Is o less than 1/4? False Let q = 563/268 + -7/402. Let r = 96/5 - 3...
{ "pile_set_name": "DM Mathematics" }
1 - 3*p + 10*p - p. Let r be s(0). Which is the closest to r? (a) 0.1 (b) -0.2 (c) -4 b Let b = 239.1 + -239. Let m = 0.8 + -1.4. Let p = 0.2 + m. What is the closest to b in 2/3, -2, p? p Let p = 184.7 + -181.7. Which is the nearest to -0.07? (a) -13 (b) -2 (c) p (d) 1 d Let i = 8302 - 8301.7. Let d be (-84)/(-...
{ "pile_set_name": "DM Mathematics" }
be 12/(-18) - (-22)/6. Let b(u) be the first derivative of 3*u**2/2 - 3*u + 262. Determine b(h). 6 Let g(o) = -o - 5. Suppose -6*y - 45 = 9. Give g(y). 4 Let u be 3/(4 + -1) + 3. Let v(g) = 3889*g - 11673*g + 3892*g + 1 + 3890*g. Determine v(u). -7 Let s(g) = -g**3 - 4*g**2 - 5. Let x(w) = 6*w - w**2 - 5*w**2 - 1 - 5*...
{ "pile_set_name": "DM Mathematics" }
). Suppose 14*f - 189 = r. What is the remainder when f is divided by 22? 12 Let v = 24608 - 20873. Calculate the remainder when v is divided by 72. 63 Suppose 0*a - 232 = -4*a. Let w = 16 + -31. Let p(c) = c**3 + 15*c**2 - 3*c - 33. What is the remainder when a is divided by p(w)? 10 Let r be 48/(-16) - (-508 - -1). S...
{ "pile_set_name": "DM Mathematics" }
a) s (b) 2/5 (c) 0.9 a Let q = 6 - 8. Let h = 217.4 + -214.4. Which is the closest to -2/7? (a) 0 (b) h (c) q a Let u = 0.169 - 0.2087. Let h = 0.0203 - u. What is the nearest to 2/7 in -0.5, h, 3/2? h Let i = -4 + 6. Let h be (-2)/(-12)*21 - 4. Let y = 246/763 + -4/109. What is the nearest to h in -6/5, i, y? -6/...
{ "pile_set_name": "DM Mathematics" }
27. Solve 0 = 3*u - j*u for u. 0 Let h(o) = o**2 - o + 3. Let u be h(-4). Suppose -5*s = -5*q - u - 12, 3*s + 2*q = -4. Suppose -3*a = -43 + 13. Solve -a = s*z - 2 for z. -4 Let n be ((-34)/(-255))/((-2)/(-129)) + 62/155. Solve -2*r = -n*r - 14 for r. -2 Let r(d) be the second derivative of d**3 + 2*d**2 + 34*d. Let z ...
{ "pile_set_name": "DM Mathematics" }
7? 14.8 What is the product of 4 and 0.936? 3.744 -3 times 0.03 -0.09 Calculate -169*-0.31. 52.39 Product of 2 and 3.61. 7.22 Multiply 3 and 0.008. 0.024 What is -0.4 times -13? 5.2 15.8 * -0.3 -4.74 What is -3905 times 0.2? -781 Product of -2 and 7.6. -15.2 Calculate -5.86*-1. 5.86 Calculate -2*-68. 136 0.3617*-1 -0.3...
{ "pile_set_name": "DM Mathematics" }
e factors of m. 7 Let o = -29 - -41. Suppose -2*z = s - 4*s + 41, s - o = -z. What are the prime factors of s? 13 Let k(u) = -u**2 - 20*u - 9. List the prime factors of k(-17). 2, 3, 7 Let z(j) = j**3 + 7*j**2 + 7*j + 8. Let o(v) = -v + 2. Let c be o(4). Let y be (-6)/(0 - (c - -1)). What are the prime factors of z(y)?...
{ "pile_set_name": "DM Mathematics" }
sing order. 0.5, 1/4, -1/3, -165 Sort -3, 1, -0.4, 5/24 in descending order. 1, 5/24, -0.4, -3 Sort -1, 5, -2/5, -3. -3, -1, -2/5, 5 Put 1039, 0, 4, 5, -5 in ascending order. -5, 0, 4, 5, 1039 Sort 1, 4, -1, 18. -1, 1, 4, 18 Put 1/5, -0.23, -1/8 in decreasing order. 1/5, -1/8, -0.23 Sort -0.1, -166, -0.7 in increasing ...
{ "pile_set_name": "DM Mathematics" }
0. Let t(v) = 4*v**2 + 32*v - 8. Let d be t(x). What is d rounded to the nearest 10? 120 Suppose n - 8*n = -16*n - 77823000. What is n rounded to the nearest 100000? -8600000 Let f = -0.4327467469 - -0.43275. Round f to seven dps. 0.0000033 Let v = -148.821 + 76.81. Round v to the nearest 10. -70 Suppose l = 5*i - 4647...
{ "pile_set_name": "DM Mathematics" }
- 4, 2*b + 2 = -q + 1. Let t be (b/2)/(3/30). Let s = 11 + t. What is the least common multiple of 8 and s? 24 Let j be ((-21)/14)/((-2)/4). Suppose j*t - 25 = 89. Find the common denominator of 32 and t. 1 Let m(v) = -1 - 10*v + 2 + 25*v. Let f be m(1). Let n = f + -10. What is the least common multiple of n and 1? 6...
{ "pile_set_name": "DM Mathematics" }
third derivative of 219*q**5 - 10*q**4 + q**3 - 87078*q**2 wrt q? 13140*q**2 - 240*q + 6 Find the first derivative of 4*d**2 + 9788*d - 22718. 8*d + 9788 Find the second derivative of -574*o*u**3 + 87*o*u**2 - 15751*o + u wrt u. -3444*o*u + 174*o Find the first derivative of -3*c**2 + 69947*c + 260397. -6*c + 69947 Wh...
{ "pile_set_name": "DM Mathematics" }
-6 (-1 - -6) + 7 + -12 0 What is (4 - (8 + -1)) + -2? -5 Calculate 0 + 4 + -8 + 2. -2 What is the value of -1 + -1 - 0 - (6 - 3)? -5 Calculate 1 + -5 - (-5 - -3). -2 (2 - 3) + 0 - 3 -4 Calculate -2 - (-2 + 2 + (-5 - -1)). 2 (7 - (8 + -3)) + -2 0 What is 13 + (-4 - 2) + 2 - 4? 5 What is 11 - (-5 - 5 - -13)? 8 Calculate...
{ "pile_set_name": "DM Mathematics" }
676.8 b What is the closest to 3.3 in 0, 0.1, -1, -4, 1/9, 0.05? 1/9 What is the nearest to -1/3 in 2/5, -0.5, -2348804? -0.5 Which is the closest to -0.2? (a) 506343 (b) 6/5 (c) 3 (d) 0.1 (e) -1 d Which is the nearest to -18? (a) 14 (b) 0.0252 (c) -5 (d) 2/9 (e) -3 (f) 2 c Which is the nearest to 1? (a) -...
{ "pile_set_name": "DM Mathematics" }
y, -0.3, 1? -0.3 Let y = -1.9 - -2. Suppose 0 = s - 6*s - 75. Let i be (s/105)/(2/4). Which is the smallest value? (a) i (b) y (c) 4 a Suppose -15 = 4*j - d + 6, 2*j + 7 = -3*d. Which is the biggest value? (a) -3/7 (b) 3 (c) j b Let s(c) = -6 - 5 + 5 + c - 3*c. Let d be s(-4). Let n be (-1)/(40 + 2)*4. What is t...
{ "pile_set_name": "DM Mathematics" }
urth biggest value? (a) i (b) -5 (c) 95 (d) -0.5 (e) 2/5 d Let p = -1076.6 - -1073.6. Which is the second biggest value? (a) 4 (b) -0.2 (c) -20 (d) 6 (e) p a Let i be -3*(-6 - (-34)/6). What is the second smallest value in 0, i, -0.3, -12? -0.3 Let f be (((-8)/10)/(154/70))/2. Let l be ((-4)/(-3)*3)/(-1). Let...
{ "pile_set_name": "DM Mathematics" }
7569, 7386? 7153 What is the next term in 27, 20, 27, 54, 107, 192? 315 What is the next term in -45325, -45323, -45321, -45319? -45317 What comes next: -86, -176, -256, -326, -386? -436 What is next in -105612, -211223, -316834? -422445 What is the next term in -86, -105, -172, -317, -570, -961, -1520, -2277? -3262 W...
{ "pile_set_name": "DM Mathematics" }
6*z(s). Is x(0) composite? True Let q(h) = 7*h - 6 - 12*h - 11*h - 3*h. Is q(-7) a prime number? True Suppose 0*j - 4*g - 2 = j, 5*g = -10. Let t be (j/(-18))/(1/6). Is (-1)/((-2)/(-308)*t) prime? False Is (26/(-78))/((-1)/(-1011)*-1) a composite number? False Let r(v) = v**2 - 3. Let o = 1 - 4. Is r(o) a prime number...
{ "pile_set_name": "DM Mathematics" }
8? False Let t(y) = 6*y**2 + y**2 + 0*y - y + 3*y**2. Is 3 a factor of t(1)? True Suppose y = 30 - 84. Let m be (-12)/28 + y/21. Is m - -3 - (0 - 5) even? False Suppose 2*v + v + 9 = 0. Let x(t) = -5*t - 3. Let h be x(v). Suppose 2 + h = 2*c. Is 7 a factor of c? True Suppose -2*g - 5*t = -111, -t - 232 = -4*g - 21. Sup...
{ "pile_set_name": "DM Mathematics" }
*2/5 - 1024*v/5 + 4032/5. 4*(v - 252)*(v - 4)/5 What is n in 3*n**4 - 21*n**3 - 48*n**2 + 156*n + 288 = 0? -2, 3, 8 Solve -21*x**4/2 + 14673*x**3/2 + 24189*x**2 + 21054*x + 4212 = 0 for x. -2, -1, -2/7, 702 Factor -2*j**2/3 - 285124*j/3 - 10161961922/3. -2*(j + 71281)**2/3 Find n, given that -n**4/7 - 1690*n**3/7 - 674...
{ "pile_set_name": "DM Mathematics" }
p + 1. Is r(-1) composite? True Let n(l) = -l**3 - 3*l**2 + 3*l. Suppose -2*o - 3 = 7. Is n(o) composite? True Let z(o) = -o**2 - o + 5. Let w be z(-4). Let i = 20 - w. Suppose -4*f + i = -f. Is f composite? True Let v = -6 - -9. Suppose v*g = -3*c + 111 + 462, 0 = -2*g. Is c a prime number? True Is ((-596)/(-8))/((-3)...
{ "pile_set_name": "DM Mathematics" }
e hundreds digit of 544068? 0 What is the tens digit of 289140? 4 What is the tens digit of 10124370? 7 What is the millions digit of 29244934? 9 What is the thousands digit of 2340996? 0 What is the thousands digit of 557851? 7 What is the tens digit of 2135263? 6 What is the thousands digit of 720419? 0 What is the t...
{ "pile_set_name": "DM Mathematics" }
)/10)/(y/(-140)). 6 Let f = 1/148271 + -3706775007/1037897. Let i = f - -3564. What is the common denominator of i and -29/4? 28 Let g be (-1218)/(-8)*(-1 - 3). Let b be (-30045)/g - (-2)/7. Let c = -7/58 + b. Calculate the common denominator of c and 57/14. 14 Let m be (-1)/3 + (-57)/(-9). Find the common denominator ...
{ "pile_set_name": "DM Mathematics" }