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) = -k + 2. Let v(t) = t - 3. Let y(g) = -6*u(g) - 4*v(g). What is y(d(i))? 2*i Let t(z) = 2*z**2 + 1 - 1. Suppose -9*w + 3*w = -30. Let r(a) = 5 - w + 6*a + 0. What is r(t(b))? 12*b**2 Let s(y) = -3. Let h(t) = 5 + 0 + t**2 + 3 - 4. Let n(u) = -3*h(u) - 4*s(u). Let j(x) be the third derivative of x**5/60 - x**2. What ...
{ "pile_set_name": "DM Mathematics" }
orm s + g*a + b*a**3 + f*a**2 + y*a**4 and give y. 23 Express o**2 + 41 - 2*o**3 - 120 + 40 + 43 - 6*o - 3*o**2 as w*o**2 + v*o + y*o**3 + d and give v. -6 Express 146 - 144 + 100*z**2 + 259*z**2 + (-1 + 2 + 0)*(2*z**2 + 3*z**2 - 7*z**2) + 2*z - 2*z - 2*z**2 in the form v + a*z + h*z**2 and give h. 355 Express -2*q + 2...
{ "pile_set_name": "DM Mathematics" }
ich is greater: i or z? i Suppose -4*i - 2 = -3*r + r, 0 = r + 3. Is i at least 0? False Let p = -0.995 + -0.005. Is p < -0.2? True Suppose 2*q - 4*q = -5*b, -b + 5*q = 23. Suppose -10*k + 7*k + 6 = 0. Do b and k have different values? False Let c = -19.42 + 19. Let g = 13.98 - 14. Let u = c - g. Which is greater: -2/7...
{ "pile_set_name": "DM Mathematics" }
2 - 3*p + 18. Calculate -3*c(q) - 5*n(q). q**2 + q Let z(n) = 11*n**3 - 15*n**2 - 11. Let s(k) = -5*k**3 + 8*k**2 + 5. Give -7*s(v) - 3*z(v). 2*v**3 - 11*v**2 - 2 Let a(v) be the second derivative of -v**4/12 + v**3/6 + v**2/2 + v. Let g = 3 - 1. Let k(h) = 5*h**2 + 0*h**2 - 6*h - h**2 + g*h**2 - 4. What is 4*a(x) + k(...
{ "pile_set_name": "DM Mathematics" }
nearest integer? 28 What is 78275 to the power of 1/6, to the nearest integer? 7 What is the fifth root of 49536 to the nearest integer? 9 What is the third root of 438 to the nearest integer? 8 What is 140100 to the power of 1/7, to the nearest integer? 5 What is the square root of 1321 to the nearest integer? 36 What...
{ "pile_set_name": "DM Mathematics" }
-l**2. Calculate t(f(c)). -1168*c**2 Let j(c) = -2*c**2. Suppose 0 = p - 5*x - 14, -4*x = 4*p + x - 6. Let i(y) = p*y**2 - 29*y**2 + 8*y**2. What is i(j(b))? -68*b**4 Let b(y) = -82*y**2. Let c(g) = 619*g - 308*g - 311*g + g**2. Determine c(b(m)). 6724*m**4 Let p(k) = 8995*k**2. Let n(u) = -6*u**2 - 4. Determine n(p(l...
{ "pile_set_name": "DM Mathematics" }
multiple of 4? True Is 71 a multiple of 18? False Is 31374 a multiple of 27? True Is 46332 a multiple of 52? True Is 19 a factor of 389? False Is 12 a factor of 14688? True Does 61 divide 35136? True Is 59826 a multiple of 46? False Is 75 a factor of 85350? True Is 3 a factor of 600? True Is 5852 a multiple of 13? Fals...
{ "pile_set_name": "DM Mathematics" }
*i**2. Let u be n(5). Find the common denominator of (-564)/u*(-2)/(-12) and 73/4. 12 Suppose -368 = -4*w - 4*l, 2*w = w - 3*l + 88. What is the smallest common multiple of 18 and w? 846 Suppose 7*a + 5 = 2*a. Let x = a + 4. Suppose -x*l - 4 = -5*l. What is the smallest common multiple of 10 and l? 10 Suppose 2*h + 2 -...
{ "pile_set_name": "DM Mathematics" }
(z)). 3*z**4 Let f(b) = b. Let j(z) = z**2 - z + 1. Let r(p) = -7*p**2 - p + 1. Let y(l) = 2*j(l) - 2*r(l). Determine y(f(a)). 16*a**2 Let b(r) = -3*r + 9. Let w(l) = -2*l. Give w(b(o)). 6*o - 18 Let w(b) = 2*b - b + 2*b - 2*b. Let x(q) = -2*q**2. Calculate x(w(i)). -2*i**2 Let f(v) be the first derivative of -2*v**3/3...
{ "pile_set_name": "DM Mathematics" }
uppose -3*c = -n, 2*v + 43 = c + 150. Is v composite? True Let t be (6/9)/(2/9). Suppose 3*u = -t, 0 = -a - 3*u - u + 58. Suppose -173 = -3*q - a. Is q prime? True Let z(j) = j**3 + 14*j**2 - 11*j - 13. Is z(-10) composite? True Let c = 379 + 276. Is c a composite number? True Let y(n) = n**3 + 8*n**2 - 2*n - 2. Suppos...
{ "pile_set_name": "DM Mathematics" }
-s*u + 6 for o. 0 Let z(l) = -65*l - 258. Let j be z(-4). Solve -a - j*u - 3 = -0, 0 = -2*u for a. -3 Let u(a) = -12*a - 6. Let r be u(8). Let l = 107 + r. Solve -13 = -5*n + 2*o, -o - 2 = l*n - 3 for n. 1 Let t = -94 - -99. Solve -3*s - 2*l = 5 + t, -12 = 4*s + 4*l for s. -4 Suppose 2*g + 3*g - 4*p - 46 = 0, 0 = -2*p ...
{ "pile_set_name": "DM Mathematics" }
e units digit of x(0)? 1 Let t(y) be the first derivative of -y**3/3 - 13*y**2/2 - 4*y - 10. Let z be t(-10). Suppose 0 = -0*h - h + z. What is the units digit of h? 6 Let c(j) = j**3 + j**2 - j + 48. Suppose 8*n = 9*n. Let r be c(n). Suppose 0 = -4*w - x + 108, 0 = -0*w + w - 5*x - r. What is the tens digit of w? 2 Le...
{ "pile_set_name": "DM Mathematics" }
. Let j(k) = 0 + 2*k - 2 - k**2 - 6*k + 3*k. Let f(n) = -3*j(n) - y(n). Find the second derivative of f(d) wrt d. -300*d Let k(t) = 412*t**2 - 21*t - 8846. Let w(z) = -1649*z**2 + 86*z + 35387. Let p(g) = -25*k(g) - 6*w(g). What is the first derivative of p(u) wrt u? -812*u + 9 Let m = -59 - -59. Suppose 2*d = 1 + 1, 4...
{ "pile_set_name": "DM Mathematics" }
t is the smallest common multiple of 4 and 2 + -284*(-6)/24? 292 Let t = 71 + 4. Find the common denominator of (-100)/t*43/(-10) and -43/18. 90 Let v = -212 + 8051/38. Calculate the common denominator of v and 19/2. 38 Let f(g) = -g + 3. Let k be f(0). Calculate the common denominator of 8/14 + 0 + 282/(-28) and (2/k)...
{ "pile_set_name": "DM Mathematics" }
3 13437 What is the product of -0.319 and -87? 27.753 Multiply -1555 and -58. 90190 Calculate -2351*1.9. -4466.9 Product of -0.594 and 2731. -1622.214 Product of 1.1174 and -0.3. -0.33522 What is the product of 0.0766 and -3? -0.2298 -0.14 times 9.5 -1.33 135.82 times -78 -10593.96 Multiply -0.3 and -0.80196. 0.240588 ...
{ "pile_set_name": "DM Mathematics" }
287088*x/11 - 287096/11 = 0. -2, -2/5, 1, 35887 Solve 2*c**2/7 + 28286*c/7 - 11753976/7 = 0 for c. -14547, 404 Factor 3*u**2 + 27597*u + 5478564. 3*(u + 203)*(u + 8996) Find m such that -2*m**2/5 + 128154464*m/5 - 2052945830390912/5 = 0. 32038616 Determine y so that -4*y**3 + 1520688*y**2 - 27371088*y = 0. 0, 18, 38015...
{ "pile_set_name": "DM Mathematics" }
- 0*w + 2. Let c = w - x. Solve 5*a + 2*p + 15 = c, -2*p + 5*p = 0 for a. -3 Suppose o = -4*a - a + 175, -4*a - 2*o + 146 = 0. Suppose 0 = 2*b - 6, 5*t + 3*b - a = -0*t. Solve 0*k = -3*w - 2*k + t, 4*w - 2*k + 12 = 0 for w. -1 Let i(z) = z**3 - 11*z**2 - z + 14. Let y be i(11). Solve 2*j - 4 = -3*k - 6, 2*k = 3*j + y f...
{ "pile_set_name": "DM Mathematics" }
**2 - 2*z - 352. Let r(g) = 6397*g**2 - 9*g - 1407. Let s(k) = 18*i(k) - 4*r(k). Find the first derivative of s(a) wrt a. 6244*a Suppose -5*k - 3 + 102 = 2*g, -k + 3 = 0. Suppose g = 2*b - 32. Find the second derivative of b*i**4 - i - 21*i**4 + 0*i wrt i. 192*i**2 Let x(i) be the third derivative of 23/12*i**4 + 1/30*...
{ "pile_set_name": "DM Mathematics" }
suming q is positive. q**(-685/84) Simplify l/((l*l*(l*l/(l*l/(l*((l*l*l**(-2)*l*l)/l)/l)))/l*l)/l)*l/l**(-17) assuming l is positive. l**17 Simplify o**(-2/65)*o*o*o**(2/31) assuming o is positive. o**(4098/2015) Simplify o*(o**0*o)/o*o**(-2/7)*o*(o**6/o)/o*o*o/(o/o**(3/5)) assuming o is positive. o**(256/35) Simplify...
{ "pile_set_name": "DM Mathematics" }
of -x**4/8 - x**3/3 - 7*x**2. Give a(-2). 4 Let p = 7 - 7. Let d(g) = -2 + p*g - 5*g**3 + 3 - g. Suppose 0 = -m - a, a = 4*m - 4*a - 9. Give d(m). -5 Let j(q) = 2*q**3 + 5*q**2 + 13*q - 10. Let c(n) = n**3 + 3*n**2 + 6*n - 5. Let l = 18 + -13. Let u(x) = l*c(x) - 2*j(x). Calculate u(-4). -5 Suppose n + 6 = 3. Let i = ...
{ "pile_set_name": "DM Mathematics" }
is the nearest to 1? (a) 0.01 (b) -4 (c) i a Let x = 414 - 409. Which is the closest to 0? (a) x (b) 3 (c) -9 (d) -3/4 d Let d = -19112 + 133788/7. What is the closest to 0 in 0.09, d, 2/215? 2/215 Let w = -21190 - -21194. Let r be (2 - 4/2)/3. Which is the closest to 2/3? (a) 1 (b) w (c) -17 (d) r a Suppose...
{ "pile_set_name": "DM Mathematics" }
*3 + g - g + 2*g**3 + 3*g**3 + 0*g**3 + (g**2 + 0*g**2 - 3*g**2)*(0*g + 5*g - 2*g). 2*g**3 Expand (u - u + 2*u + u + 0*u - 3*u + (0 - 2 + 0)*(-2*u - 2 + 2) + 3*u + 3 - 3 - u + 2*u + u)*(65 - 41 + 90)*(-3 + 2 - 2). -3078*u Expand ((-3 + 2 - 1)*(3*z - 3*z + 2*z) - 2*z + 4 - 4 + 2*z - 3*z + 2*z - 2*z - 1 + 1 + 1192 + 24*z...
{ "pile_set_name": "DM Mathematics" }
1 by -90. -1/90 11684 divided by 23 508 Divide -3 by 12. -1/4 Calculate 3 divided by 128. 3/128 Divide 141 by -18. -47/6 Divide -36 by -21. 12/7 -265 divided by 5 -53 Divide -774 by -2. 387 What is -305 divided by -7? 305/7 What is -3450 divided by -23? 150 Divide 1 by -5266. -1/5266 What is 0 divided by -15? 0 What i...
{ "pile_set_name": "DM Mathematics" }
*v + 2987*h**2*v**2 + 5018*h**2*v wrt h? -95208*v**2 - 2556*v What is the derivative of 3173821*d**2 - 2*d - 8678372? 6347642*d - 2 What is the second derivative of 12252*i**3*p**3 + 375*i**2*p**3 - 23*i*p**3 - 2*i*p - 1738065*i wrt i? 73512*i*p**3 + 750*p**3 Find the second derivative of -57252*o**4 + 1279*o**2 + 5893...
{ "pile_set_name": "DM Mathematics" }
3*d + 0*d). -255*d**5 Expand (4*c - 4*c + 2*c)*(-1 - c**2 + 4 - 4) + 46*c - 46*c + 18*c**3. 16*c**3 - 2*c Expand 58*k**2 + 84*k**2 - 91*k**2 - k**2 - 2*k + 2*k - 3 + 3 + k**2 + (4 - 1 - 4)*(2*k - 2*k - k**2) + 1 + k**2 - 1. 53*k**2 Expand (-4*z + 4*z + z**2)*(4 - 9 - 2) + 3*z**2 + 4*z**2 + 11*z**2. 11*z**2 Expand (3 + ...
{ "pile_set_name": "DM Mathematics" }
the second biggest value in t, 0.2, -3, 0.5? 0.2 Let h = -1.462 - -1.442. What is the second biggest value in 0, -5, h, 2/11? 0 Let p = 0.0858 + 4.9142. Let y be (-1)/(-4)*(2 + 2). What is the second smallest value in -3, y, p? y Let v = -1.1 + 0.2. Let x = v - -4.9. Let g = 474/91 - 64/13. Which is the second smalles...
{ "pile_set_name": "DM Mathematics" }
third derivative of -m**4*r**2 + 12*m**4 + 674*m**3*r**2 + 2144*m**2*r**2 - 6*r**2 wrt m. -24*m*r**2 + 288*m + 4044*r**2 Find the second derivative of 3071*f**3 + 338*f**2 + 4741504*f. 18426*f + 676 What is the third derivative of -1216*j**6 - 2*j**3 - 151189*j**2 wrt j? -145920*j**3 - 12 Find the second derivative of ...
{ "pile_set_name": "DM Mathematics" }
= 10*u - 13. Let w be c(4). Suppose -w*f + 24*f = -9. Solve 5*q - 4*l = 0, -2*q + 33 = 2*l + f*l for q. 4 Let f = -744 - -747. Suppose -16 = -2*b - 5*p, p - 16 = 2*b - 2*p. Let y be (-82)/(-5) + b/5. Solve -3*s + 4*v - y = s, -4*v = f*s + 19 for s. -5 Let k = -33 + 37. Suppose 0 = -k*x - x + 20. Solve 13 = 5*o + 3*y, ...
{ "pile_set_name": "DM Mathematics" }
(sqrt(1452) - (sqrt(1452) + (sqrt(1452) - (-1*sqrt(1452) + sqrt(1452) + sqrt(1452)) - sqrt(1452)))))/(sqrt(66)/sqrt(44) + sqrt(6))*-6. -88*sqrt(2) Simplify 4 + ((sqrt(324) - ((sqrt(324) + sqrt(324)*3 - sqrt(324)) + sqrt(324)))/sqrt(9))/(sqrt(12) - 3*sqrt(108)). 3*sqrt(3)/8 + 4 Simplify 3*(2*(sqrt(80)*2 + 3 + (sqrt(80)...
{ "pile_set_name": "DM Mathematics" }
the prime factors of x. 2, 19 What are the prime factors of (461/2 - (-39)/(-26)) + 1? 2, 5, 23 Suppose -11*z + 9*z + 442 = 0. List the prime factors of z. 13, 17 Suppose 798 = 5*k - 57. Suppose 0 = 4*u - w - 705, -3*u - 3*w = -696 + k. Suppose -7*n = -3*n - u. List the prime factors of n. 2, 11 Let d = -5 - -11. Let i...
{ "pile_set_name": "DM Mathematics" }
me factors of 11286? 2, 3, 11, 19 What are the prime factors of 44739? 3, 1657 What are the prime factors of 16886? 2, 8443 What are the prime factors of 555? 3, 5, 37 What are the prime factors of 23268? 2, 3, 7, 277 List the prime factors of 43926. 2, 3, 7321 What are the prime factors of 1976? 2, 13, 19 List the pri...
{ "pile_set_name": "DM Mathematics" }
)) + 2. Let i(d) = p + 7*d + 7*d - 4*d + 4*d. Determine k*t(c) - 5*i(c). 2*c - 2 Let j(v) = -7*v**2 + 18*v + 133. Let u(o) = -6*o**2 + 15*o + 133. Give -4*j(b) + 5*u(b). -2*b**2 + 3*b + 133 Let g(t) = t - 5. Let m(p) = -128 - 5*p + p + 148. Calculate -9*g(s) - 2*m(s). -s + 5 Let y(n) = -3*n**3 - 46*n**2 - 5. Let k(o) =...
{ "pile_set_name": "DM Mathematics" }
4:16 PM? 6:13 PM What is 710 minutes before 6:18 PM? 6:28 AM How many minutes are there between 3:25 PM and 6:31 PM? 186 How many minutes are there between 4:06 AM and 11:32 AM? 446 How many minutes are there between 8:42 AM and 10:59 AM? 137 How many minutes are there between 8:58 PM and 6:44 AM? 586 How many minutes ...
{ "pile_set_name": "DM Mathematics" }
? 900 How many seconds are there in 166728.4 hours? 600222240 Convert 82.09266nm to millimeters. 0.00008209266 What is fourty-three halves of a litre in millilitres? 21500 How many centimeters are there in 84.45064 kilometers? 8445064 What is 29/5 of a litre in millilitres? 5800 Convert 99.37284ng to micrograms. 0.0993...
{ "pile_set_name": "DM Mathematics" }
ppose -h - 24 = -2*n + s, 5*n - 102 = -3*h. What is the units digit of n? 8 Let q = 3 - 5. Let r = q + 9. Suppose -3 = 2*d - 5*c, -3*d + r*c + 3 = 2*c. What is the units digit of d? 6 Let p be 1/(-1 + (-40)/(-44)). Let f = 8 - p. What is the tens digit of f? 1 Let l(y) = 40*y + 7. What is the tens digit of l(2)? 8 Supp...
{ "pile_set_name": "DM Mathematics" }
0.000011874 to 6 decimal places. 0.000012 Round -0.0000105254 to 6 decimal places. -0.000011 What is 39.066 rounded to 1 dp? 39.1 What is 3159 rounded to the nearest one thousand? 3000 Round 0.000001187 to 7 decimal places. 0.0000012 Round 10.83 to the nearest integer. 11 Round -0.0000005475 to seven dps. -0.0000005 R...
{ "pile_set_name": "DM Mathematics" }
3 Suppose -o = -0*o. Suppose 5*n + 10 + 15 = 0. Put -3, n, o in ascending order. n, -3, o Let g = -9 - -4. Let a = g + 4. Let t = 39 + -38. Sort a, -5, t. -5, a, t Let f = -5 + 11. Suppose 0 = -3*l - f - 6. Sort 5, -2, l. l, -2, 5 Suppose 3*u = -0*u. Let i = 0.14 + -0.16. Sort u, -1/6, i in descending order. u, i, -1/6...
{ "pile_set_name": "DM Mathematics" }
derivative of -7372702*u**3 - 7215298*u. -44236212*u Find the third derivative of -5303642*l**3 + 153829*l**2 - 975*l. -31821852 What is the third derivative of 7032125*m**2*o**3 - 22*m**2*o**2 + 15950*m**2*o - 31*m*o**6 + 2*m - 6*o**2 - 1 wrt o? 42192750*m**2 - 3720*m*o**3 Find the second derivative of -4*a*r**3 + 6*...
{ "pile_set_name": "DM Mathematics" }
derivative of 9*q**2 - 2/3*q**3 + 0*q + 39. Let w(b) = 2*b**2. Determine x(w(m)). -8*m**4 + 36*m**2 Let m(a) = -183*a. Let o(j) = 4760*j**2. Calculate m(o(w)). -871080*w**2 Let n(p) = 2*p**2. Let h(q) be the second derivative of 0 - 1/3*q**3 + 0*q**2 + 16*q. Determine h(n(z)). -4*z**2 Let c(u) = -2*u**2. Let y be (-2 ...
{ "pile_set_name": "DM Mathematics" }
rt b. -651325*x**3 What is the first derivative of -1640*o + 8012 wrt o? -1640 What is the third derivative of 485*a**3*l**3*q + 2*a**3 + 2*a**2*l**2 - 2*a**2*q - a*l**2*q - 678*a*q - 55*l**3 wrt l? 2910*a**3*q - 330 Differentiate 12*c*o*y + 2*c*o + 22217*c*y + 5*c - 156*o*y + 16*o + y - 1 wrt o. 12*c*y + 2*c - 156*y +...
{ "pile_set_name": "DM Mathematics" }
? False Is 25 a factor of 4368772? False Does 519 divide 792147624? True Does 10 divide 46482060? True Is 995 a factor of 131391740? True Is 323 a factor of 50045297? True Is 3535 a factor of 732947382? False Is 633 a factor of 2338417405? False Does 154 divide 337374422? True Is 88065209 a multiple of 15? False Does 8...
{ "pile_set_name": "DM Mathematics" }
*i))/i assuming i is positive. i**(515/7) Simplify ((u**(-1)*u*u)**(-17/4)*(u/(u/u**1))/u**(1/19))**(2/7) assuming u is positive. u**(-251/266) Simplify ((o*o/(o*o*o*o*o*o**(-27))*o)/o**5)**(1/30) assuming o is positive. o**(2/3) Simplify ((p**(-4)/((((p*p/(p/p**(-1/6)))/p*p)/p*p)/p))**(1/14))**(-26) assuming p is posi...
{ "pile_set_name": "DM Mathematics" }
0.375 Round -1498.126 to the nearest one hundred. -1500 Round -71.6839838 to the nearest ten. -70 Round 105325.9267 to the nearest one thousand. 105000 Round 19826622.17 to the nearest ten thousand. 19830000 What is -26485770.9 rounded to the nearest ten thousand? -26490000 Round 31.15042868 to 2 dps. 31.15 What is 11...
{ "pile_set_name": "DM Mathematics" }
. 1471 Express 1353 - 992 - 24769*l - 361 in the form w*l + b and give w. -24769 Express 5*a - 4670 - 4555 + 9695 in the form i + f*a and give i. 470 Rearrange -2337 + 1163 + 1213 - 2*d**2 - 3*d**3 + 15*d + 4*d**3 to u*d**2 + z*d + s + i*d**3 and give i. 1 Express (-u + 0*u - 3*u)*(5 + 10*u - 5)*(247 - 206 + 1003 + u) ...
{ "pile_set_name": "DM Mathematics" }
derivative of -223*l**2*n*y + 8*l**2*n + 4*l**2 + n*y wrt y? -223*l**2*n + n What is the third derivative of 165*c**6*q - 2*c**4*i*q - c**3*i + 2*c**2*i + 84*i*q - 6*i wrt c? 19800*c**3*q - 48*c*i*q - 6*i Find the third derivative of -644*b**3 + 8250*b**2. -3864 Find the third derivative of s**2*t**4 - 213*s**2 + 118*s...
{ "pile_set_name": "DM Mathematics" }
wrt b. -114*b - 12 Let y(z) = -48*z**3 - 17*z**2 + 2*z. Let h(t) = 97*t**3 + 36*t**2 - 5*t. Let b(i) = 2*h(i) + 5*y(i). What is the third derivative of b(l) wrt l? -276 Find the second derivative of -3*n - 351*n**3 + 539*n**4 - 151 - 70 + 2*n + 351*n**3 wrt n. 6468*n**2 Suppose 10 = -5*w + 25. Differentiate 27 + 12 - ...
{ "pile_set_name": "DM Mathematics" }
, -2, 4 Put -8, -4, 4, 3 in decreasing order. 4, 3, -4, -8 Put 47, 27, 2 in decreasing order. 47, 27, 2 Sort -101, 1/4, -6 in descending order. 1/4, -6, -101 Put 4, -9, -5, -18 in descending order. 4, -5, -9, -18 Sort -3, -1, 95 in increasing order. -3, -1, 95 Sort -0.2, -5, 4, -84. -84, -5, -0.2, 4 Sort -99, 0, 52, 2 ...
{ "pile_set_name": "DM Mathematics" }
1 - 2 = 0. -1/4, 1 Let t(q) = 2*q**3 - 12*q**2 + q - 1. Let s be t(6). Let y(n) be the first derivative of 18/5*n + s - 6/5*n**2 + 2/15*n**3. Factor y(o). 2*(o - 3)**2/5 Suppose -9 - 6 = z. Let c = 33/2 + z. Let -9/2*p + 0 - c*p**2 = 0. What is p? -3, 0 Let h be ((-72)/70)/(75/(-175)). Factor -8/5*v**2 + 0 + 2/5*v + 2/...
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 75 What is the fifth root of 608 to the nearest integer? 4 What is 1217 to the power of 1/3, to the nearest integer? 11 What is 947 to the power of 1/10, to the nearest integer? 2 What is 1166 to the power of 1/2, to the nearest integer? 34 What is 6136 to the power of 1/2, to the nearest integer? ...
{ "pile_set_name": "DM Mathematics" }
21? False Let p = 0.4 + 0. Let g = p + -0.395. Let x = -943 - -943. Which is bigger: x or g? g Let f be 10/8*(119 - -1*1). Let v(r) = -14*r + 10. Let j be v(-10). Is f at most as big as j? True Suppose 9*t - 10113 - 5217 = -12*t. Which is smaller: 2925/4 or t? t Let o = 259897746 - 1223858464602/4709. Let v = o + -77/1...
{ "pile_set_name": "DM Mathematics" }
is the third biggest value in p, -2, f? -2 Let w(q) = -q**2 + 7*q - 5. Let d be w(5). Which is the second biggest value? (a) d (b) 2/7 (c) 0 b Let i = -744/1885 + -2/377. What is the second biggest value in -4/7, i, -2, -0.9? -4/7 Let j be 3/(-12) - 11397/(-84). Let h = -135 + j. What is the third smallest value in...
{ "pile_set_name": "DM Mathematics" }
mber? False Is 132626712451 prime? True Is 201366643 composite? False Is 252763301 prime? False Is 80893811629 composite? False Is 89014043 a composite number? False Is 823142279 a composite number? False Is 1407047947 composite? False Is 1781183791 a composite number? False Is 1279363994 prime? False Is 29840483051 pr...
{ "pile_set_name": "DM Mathematics" }
2*sqrt(432) - sqrt(432)))/(sqrt(9) - (sqrt(9) - -1*sqrt(9) - sqrt(9))*-4). 0 Simplify (sqrt(63) + sqrt(63) + 1 + 5)**2. 72*sqrt(7) + 288 Simplify 6*(-2*sqrt(3)*-5)**2*-4. -7200 Simplify 2*(sqrt(209) + (sqrt(209) - (sqrt(209) - -3*sqrt(209)*2)))/(sqrt(1100)*2 + sqrt(11) + sqrt(11)). -5*sqrt(19)/11 Simplify -6*(2 + sqrt(...
{ "pile_set_name": "DM Mathematics" }
luate (8/6 - 629/510)*2. 1/5 Calculate (0 + -1)/(2/(-6 + 12)). -3 Evaluate (-2)/14 - (-2 - 371/(-147)). -2/3 What is the value of (-4)/(-3)*(-3)/(-10)? 2/5 6/2 - 129*7/315 2/15 Evaluate 5 + -10 + (6 - 6). -5 Calculate (-4)/(((-135)/(-10))/(-9)) + -2. 2/3 What is the value of 27/42*(-2)/(-15)*5? 3/7 What is (108/216)/((...
{ "pile_set_name": "DM Mathematics" }
f**2 + 35*f**2 - 2*f - 3*f**2 - 28*f**2 + f**3. Calculate 3*j(r) - 2*w(r). r**3 + r - 2 Let n(y) = -2037*y**2 + 10*y + 2. Let u(h) = 63147*h**2 - 315*h - 63. Determine -63*n(q) - 2*u(q). 2037*q**2 Let i(o) = -13*o**3 - 2*o**2 + 10*o + 5. Let j(z) = 12*z**3 + 2*z**2 - 9*z - 4. Suppose -23080 + 23176 = 16*n. Determine n*...
{ "pile_set_name": "DM Mathematics" }
1, 4 Sort -0.2, 19, -0.4 in ascending order. -0.4, -0.2, 19 Put 1/2, 4.1, -2/5 in ascending order. -2/5, 1/2, 4.1 Put 50, 5.3, 4 in decreasing order. 50, 5.3, 4 Sort 5/2, -1, 0.4, -2 in descending order. 5/2, 0.4, -1, -2 Sort 16, -0.2, 1, -0.5. -0.5, -0.2, 1, 16 Put -0.4, 17/3, -45 in descending order. 17/3, -0.4, -45 ...
{ "pile_set_name": "DM Mathematics" }
0*r**2 - 2025 Let u(z) = 137*z + 13. Let d(y) = y**2 - 15. What is d(u(n))? 18769*n**2 + 3562*n + 154 Let n(y) = -9*y - 44. Let o(m) = m + 4. Let k(t) = -2*n(t) - 22*o(t). Let u(b) = -273*b**2. Give u(k(w)). -4368*w**2 Let u(v) = v**2 + 2*v**2 - 2*v**2. Let a(k) = 112*k**2 + 123*k**2 - 312*k**2 + 12*k + 75*k**2. Calcul...
{ "pile_set_name": "DM Mathematics" }
ess -4*j + 2*j**3 + 10*j**4 + 32*j**2 + 3*j - 32*j**2 as y + h*j**2 + a*j + f*j**4 + c*j**3 and give c. 2 Express (-3*f + 0*f + 2*f)*(-5 - 2 + 4) - 3*f + 3*f - 2*f - f - 4*f + 2*f in the form w + b*f and give b. -2 Rearrange -45*a**2 + 21*a**2 + 22*a**2 to the form h + g*a**2 + x*a and give g. -2 Express -2*b + 3 - 3 -...
{ "pile_set_name": "DM Mathematics" }
1, v: 1, z: 2, m: 1, y: 1, n: 1}. 1/42 Calculate prob of sequence jjj when three letters picked without replacement from ejnmnm. 0 Two letters picked without replacement from {i: 7, x: 5}. Give prob of sequence ii. 7/22 Three letters picked without replacement from {d: 1, u: 1, o: 1}. Give prob of sequence dou. 1/6 Wha...
{ "pile_set_name": "DM Mathematics" }
**m - 2/11*p**2 + 0 = 0. -1, 0 Let s(w) be the second derivative of w**6/80 + 363*w**5/20 + 39123*w**4/4 + 2125522*w**3 + 12519843*w**2 + 260*w - 3. Suppose s(h) = 0. What is h? -322, -2 Let k(t) be the second derivative of 2*t**6/15 - 87*t**5/5 + 585*t**4 + 4050*t**3 - 195*t + 2. Let k(r) = 0. What is r? -3, 0, 45 Let...
{ "pile_set_name": "DM Mathematics" }
f'th term of -650892, -1301776, -1952660, -2603544, -3254428, -3905312? -650884*f - 8 What is the u'th term of -1103818, -1103979, -1104140? -161*u - 1103657 What is the u'th term of 28147, 28543, 28939? 396*u + 27751 What is the f'th term of -8910116, -8910110, -8910102, -8910092? f**2 + 3*f - 8910120 What is the w't...
{ "pile_set_name": "DM Mathematics" }
w**(-2/17))**(6/25))**(-9/2))**(-42) assuming w is positive. w**(4104/425) Simplify (i*i**(-1/2)*i**(-11))**(-1/61)*i*i/i**(5/3)*i*i/i**(-1/2)*(i**(2/13)*i*i*i)/(i*i**6) assuming i is positive. i**(-2000/2379) Simplify ((k**2)**35)**(2/17)/((k**(1/7)*k)/k*k*k*k*k**(2/5))**(-2/15) assuming k is positive. k**(77716/8925)...
{ "pile_set_name": "DM Mathematics" }
c Let u(g) = 1614494*g. Let k(h) = 4*h**2. Determine k(u(v)). 10426363504144*v**2 Let n(i) = -i. Let d(b) = -6*b. Suppose -3*l = 3*f - 2*f + 6, -5*f - 8 = 4*l. Let k be l/6*(1 + 2). Let j(c) = k*d(c) + 5*n(c). Let m(t) = 4*t. Give m(j(a)). 4*a Let a(x) = -2*x. Let d(f) = 300562*f + 1. Calculate d(a(t)). -601124*t + 1 L...
{ "pile_set_name": "DM Mathematics" }
mber? False Suppose 12 = -l + 3*q, -2*l + 4*q - 15 = 5. Let y be 25891/9 + 1/(-27)*l. Suppose j - 4192 = y. Is j a composite number? False Suppose -7*q = -6*q + 51. Let m = -47 - q. Suppose m*i + 221 - 729 = 0. Is i prime? True Suppose 25*k - 28*k - 36 = 0. Is (153/k)/((-3)/548) prime? False Let y = -59341 - -129900. I...
{ "pile_set_name": "DM Mathematics" }
at is 2 + 1121010? 1121012 In base 5, what is -1001321 - -10? -1001311 In base 11, what is 23 + 5? 28 In base 14, what is a33c - 1? a33b In base 11, what is -7 + 3? -4 In base 3, what is 1010 - -212? 1222 In base 11, what is 2 - 34? -32 In base 16, what is 226e + 5? 2273 In base 15, what is -245 + -9? -24e In base 13, ...
{ "pile_set_name": "DM Mathematics" }
is the highest common divisor of 11 and v? 11 Suppose -4*i = -i - 90. Suppose 0 = 3*t + 5*d - 287, -i = -t - d + 69. What is the greatest common divisor of t and 13? 13 Let w(s) = s**3 - 10*s**2 + 13*s - 2. Suppose -2*r + 17 = -3. Let i be w(r). What is the highest common divisor of 16 and i? 16 Let k be (-1 - (2 - 2)...
{ "pile_set_name": "DM Mathematics" }
ater: 9/256 or 0? 9/256 Is 0 bigger than 4/5921? False Is 1 greater than -0.02519? True Which is smaller: 9 or 7? 7 Is -4916 greater than or equal to -4918? True Do 37.22 and 2/3 have the same value? False Are -8/349 and 1 nonequal? True Which is smaller: -276 or 0.2? -276 Does -625 = -4383/7? False Is 41 less than 45?...
{ "pile_set_name": "DM Mathematics" }
- 2*k**2 in the form t*k**2 + l + n*k**3 + j*k**4 + z*k and give n. -3 Express u + 0*u - 2*u - u + u - u + (-4*u + 2*u + 4*u)*(0 + 0 - 2) - 3 + u + 3 + (-2*u + 2*u + 2*u)*(-5 + 1 - 1) in the form j*u + y and give j. -15 Express 2*k**2 + 0*k**2 + k**2 + (2*k - 2*k - k)*(3 - 3 + 2*k) - 3*k**2 - 20 - 20 + 45 as o*k + x*k...
{ "pile_set_name": "DM Mathematics" }
- 136. What is the units digit of c(-9)? 7 Let x(t) = -t - 3. Let u be x(-3). Suppose 155 = 4*r + 3*k, u*r + 2*r + k = 75. What is the tens digit of r? 3 Let h(w) = -37*w**2 - 3*w + 6*w + 63*w**2. Let p be h(-2). Suppose -p = b - 3*b. What is the units digit of b? 9 Let i = 9 - -11. Suppose -i = -4*h - h. What is the ...
{ "pile_set_name": "DM Mathematics" }
68) - 2*sqrt(68))*4))/((sqrt(168)/(sqrt(6)*-1))/sqrt(7)))**2. 833 Simplify (3*sqrt(102)*-1 + (sqrt(102) - -4*sqrt(102)*-2 - sqrt(102)))/(sqrt(600) + 1*sqrt(600)*-4 - sqrt(600)). 11*sqrt(17)/40 Simplify (5*(-5 + sqrt(72) + -1 + 1))**2*2. -3000*sqrt(2) + 4850 Simplify -1*(sqrt(11)*1 + 4)**2 + (sqrt(11) - (sqrt(176) - sqr...
{ "pile_set_name": "DM Mathematics" }
of (-16272 + 6)/((-186)/15 + 12)? 0 Suppose 746*u = 678*u + 180540. What is the units digit of u? 5 Suppose -3*n + 184141 = o, -4*n + 33268 = 5*o - 212224. What is the ten thousands digit of n? 6 Let t = 239 + -226. Suppose -4*z + 235 = q, -2*q + 16*z + 503 = t*z. What is the hundreds digit of q? 2 Suppose 15 = 10*g -...
{ "pile_set_name": "DM Mathematics" }
= -0*u. Suppose -6 = -u*v - 0. Solve -c - v*c = 9 for c. -3 Let x(c) = -c**2 - 7*c + 2. Let f be x(-7). Suppose -h + 9 = -2*d, 3*h - f*d - 12 = h. Solve -6 = h*i - i for i. -3 Suppose 2*h - 14 = -6. Solve -3*a - 2 = -h*a for a. 2 Let z = 37 + -34. Solve -1 = -z*q - 7 for q. -2 Let l be (3 + 0)*36/27. Solve 2*c + 2*c =...
{ "pile_set_name": "DM Mathematics" }
b of picking 1 d and 1 h when two letters picked without replacement from {r: 2, w: 4, h: 1, d: 6}? 1/13 Three letters picked without replacement from {v: 8, h: 11, n: 1}. Give prob of picking 3 v. 14/285 What is prob of picking 2 r, 1 m, and 1 z when four letters picked without replacement from {r: 3, i: 3, z: 9, k: 2...
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to 1? (a) -70 (b) -5 (c) -0.2 c What is the nearest to -3 in -2/3, -7, -3, 0.1? -3 Which is the closest to -1/3? (a) -2 (b) 268 (c) -3 (d) -0.2 d Which is the closest to -0.1? (a) 4 (b) -3/7 (c) -1/3 c Which is the closest to -1/4? (a) -4 (b) 4/13 (c) 0.3 (d) -4/9 d What is the neare...
{ "pile_set_name": "DM Mathematics" }
, -w - 4*o = -0*w + 11 for w. -3 Suppose 0 = -2*d - 3*j - 621, -2*d - 260 = -3*j + 379. Let i be d/(-20) + 3/12. Solve 5*n - 15 = g, n - i = -3*n for g. 5 Let g = 148 + -145. Solve -5*p - g*k - 6 = 0, 5*p - 3*k - 1 = -25 for p. -3 Let r = 81 - 89. Let d(a) be the second derivative of -a**4/12 - 7*a**3/6 + 5*a**2 - a. L...
{ "pile_set_name": "DM Mathematics" }
21 Calculate the remainder when 197643430 is divided by 5662. 5658 Calculate the remainder when 3290864 is divided by 25116. 668 What is the remainder when 11777735 is divided by 467? 462 What is the remainder when 11271723 is divided by 536747? 36 What is the remainder when 93874 is divided by 3363? 3073 What is the r...
{ "pile_set_name": "DM Mathematics" }
3.89. Let a = 21 - g. Let y = -97/7 + 14. What is the closest to -0.1 in y, 0.3, a? y Let s = 0.2 + -5.2. Let p = 3 + s. Let v be (-1 + 6)*(-1)/3. Which is the closest to 0? (a) 0.4 (b) v (c) p a Suppose 0*q + 9 = 3*q. Let y = -101 - -102. What is the closest to 1/3 in q, 5, y? y Let j = 40 - 40. What is the nearest...
{ "pile_set_name": "DM Mathematics" }
(2 + (-27 - -10 - -3))) + -25. -12 What is the value of (61 + -81 - -101) + -16? 65 Calculate -1 + (7 - 0) + -40 + 1 + 6. -27 What is 11 - (-71 + -61 + 134 + (-2 - -2 - 12))? 21 What is the value of 29 - -2 - (14 - ((21 - -1) + (-377 - -368)))? 30 Evaluate -3 + 6 - (-12 + 32 - 0 - -13). -30 Calculate (235 - 263 - (0 - ...
{ "pile_set_name": "DM Mathematics" }
). Suppose -4*y = -c*y - 4. Determine i(y). 0 Let b(z) = z**3 + 6*z**2 + 4*z + 2. Let n = -52 + 47. Calculate b(n). 7 Let a(h) = h**2 + 0*h**2 - h + h**3 - 4*h**2 - 4. Suppose -2*u + 3 = -u. What is a(u)? -7 Let t(a) be the second derivative of -a**4/12 + a**3/3 + a**2/2 - a. Calculate t(-3). -14 Suppose -4*s - 3 = 5*m...
{ "pile_set_name": "DM Mathematics" }
*c**3*d + 641*c**3 + 2 wrt d? -29735*c**3 Find the first derivative of -3*d*p**3*z - 3*d*p*z - 31*d*t + 2*p**3*t*z - 9*p**3*t - 4*p**3 - 3*t wrt d. -3*p**3*z - 3*p*z - 31*t Differentiate 6*a*b**3 + 2*a*b**2 + 2*a*b*z - a*b + b**3*z + 10*b*z wrt z. 2*a*b + b**3 + 10*b What is the second derivative of -4395*n**2 + 4*n - ...
{ "pile_set_name": "DM Mathematics" }
m {o: 10}. What is prob of picking 3 o? 1 Calculate prob of picking 1 m and 1 y when two letters picked without replacement from mmymyymmmymmmmmmmmmm. 32/95 Four letters picked without replacement from yncxyxnyc. What is prob of picking 1 c, 2 y, and 1 n? 2/21 Four letters picked without replacement from {x: 3, v: 1, s...
{ "pile_set_name": "DM Mathematics" }
34628 a multiple of 25? False Does 20 divide 581? False Is 23 a factor of 690? True Is 110097 a multiple of 15? False Is 117 a factor of 3604? False Does 71 divide 142? True Is 2 a factor of 58? True Does 58 divide 5452? True Is 16 a factor of 1765? False Is 1836 a multiple of 108? True Is 42331 a multiple of 18? Fals...
{ "pile_set_name": "DM Mathematics" }
prime factors of y. 41 Let a = -5 - -1. Suppose -2*j + 2*r - 26 = -3*j, r - 4 = 0. Let o = a + j. List the prime factors of o. 2, 7 Suppose -12*g + 6 = -10*g. Suppose 12 = g*r - r. What are the prime factors of r? 2, 3 Let v = -1416 - -2811. What are the prime factors of v? 3, 5, 31 Suppose -42*d + 44*d = l + 2907, -2...
{ "pile_set_name": "DM Mathematics" }
ulate the remainder when 21107740 is divided by 112. 108 Calculate the remainder when 47193236 is divided by 13. 12 Calculate the remainder when 1894296 is divided by 946269. 1758 What is the remainder when 16703 is divided by 605? 368 Calculate the remainder when 397850 is divided by 585. 50 Calculate the remainder wh...
{ "pile_set_name": "DM Mathematics" }
rrhkwrrkjjj. 9/85 Two letters picked without replacement from {k: 1, g: 2, q: 1, n: 4, p: 1}. Give prob of picking 1 g and 1 q. 1/18 What is prob of picking 2 k, 1 t, and 1 o when four letters picked without replacement from momoototojjkjkmosjoo? 16/4845 Two letters picked without replacement from {e: 3, g: 3, y: 2}. G...
{ "pile_set_name": "DM Mathematics" }
-230 - x. Let k = 66 + n. Which is bigger: k or 0.3? 0.3 Let z be (-36)/(-21)*14/(-10). Let b be (-10 - (-29 + 18))*-3. Are b and z equal? False Let p(a) = -8*a + 56 - 134 + 46. Let z be p(-9). Is z at least 40? True Let z = 18969 + -18988. Which is smaller: -575/29 or z? -575/29 Let n(z) = -126*z + 6612. Let t be n(93...
{ "pile_set_name": "DM Mathematics" }
5*u**3 - 15*u**2/2 - 20*u - 15/2. 5*(u - 3)*(u + 1)*(2*u + 1)/2 Factor -3*p**2/7 - 1230*p/7 - 696. -3*(p + 4)*(p + 406)/7 Factor -2*a**3/7 - 22*a**2/7 - 20*a/7. -2*a*(a + 1)*(a + 10)/7 Factor -o**4 + 60*o**3 + o**2 - 60*o. -o*(o - 60)*(o - 1)*(o + 1) What is h in 4*h**2 - 56*h - 128 = 0? -2, 16 Factor i**3 - 14*i**2 -...
{ "pile_set_name": "DM Mathematics" }
-7762? -11509 What is the next term in 5781798, 5781799, 5781800? 5781801 What is next in 512480925, 512480924, 512480923, 512480922, 512480921, 512480920? 512480919 What is the next term in -4616, -8383, -12154, -15929, -19708? -23491 What is next in -84603, -82191, -79775, -77355, -74931, -72503? -70071 What comes ne...
{ "pile_set_name": "DM Mathematics" }
= 0 for c. 4 Let k be (-1)/(3/15)*-2. Suppose -4*h = h - k. Suppose 4 = h*t - 4. Solve n = -t*n for n. 0 Let t be (0/(-2))/((-3)/3 + 2). Suppose t = 16*s - 19*s + 51. Solve 3*x + 2 = s for x. 5 Suppose 104 = -4*d + 520. Solve -p = -108 + d for p. 4 Let u = -218 + 219. Solve -u + 5 = -4*m for m. -1 Let x be (8 - 9/3) +...
{ "pile_set_name": "DM Mathematics" }
40 Convert 75888.94 micrometers to nanometers. 75888940 How many kilograms are there in fifty-four fifths of a tonne? 10800 Convert 995858.3m to centimeters. 99585830 Convert 8039.687 years to centuries. 80.39687 What is thirty-one halves of a minute in seconds? 930 What is 6.849646t in kilograms? 6849.646 What is 5/4 ...
{ "pile_set_name": "DM Mathematics" }
/19)*v*v*v)*((v/(v/v**34))/v)**(-2/37) assuming v is positive. v**(-17029/4921) Simplify (n**(-38)/(n/n**(18/5)*n))/(n/(n*n**25*n)*n)**(1/22) assuming n is positive. n**(-3879/110) Simplify (l*l*l**28)/(l**38/l*l)*l*l*(l*l*l*l**(-7/2))/l*l**(-3/10) assuming l is positive. l**(-39/5) Simplify ((k/k**0*k*k)**9/((k*k**4)/...
{ "pile_set_name": "DM Mathematics" }
24972? -24972 Do -5106 and -4123 have the same value? False Is -1 at most as big as -1/2738340? True Which is greater: 167345 or -12? 167345 Which is greater: 145163 or 0.03? 145163 Are -0.0058857 and -1/2 non-equal? True Is 1286/391 bigger than 2? True Which is bigger: -1509 or 1.4? 1.4 Is 3086099 >= 3086099? True Whi...
{ "pile_set_name": "DM Mathematics" }
2)*(-2 - 2*z**3 - 2 + z**3). -2*z**3 - 8 Expand -16*l**5 - 17*l**5 + 13*l**5 + (l**2 + 2*l - 2*l)*(-4*l**3 + 5*l**3 + l**3) - l**5 + 5*l**5 - 3*l**5. -17*l**5 Expand (s - s + s)*(2*s + 0 + 0) + 0 - 7*s**2 + 0 + (-s - 3*s + 3*s)*(3*s - 2*s - 5*s). -s**2 Expand (3 + 2*z**4 + z**4 - 2)*(3 - 3 + 2). 6*z**4 + 2 Expand (-c ...
{ "pile_set_name": "DM Mathematics" }
t of 0.7 and -12668160. -8867712 Multiply -123.72519 and 0.31. -38.3548089 Multiply 0.4 and -26763756. -10705502.4 Multiply 4 and 132707.005. 530828.02 Work out 359612 * -1.217. -437647.804 Product of 15425087 and 0.5. 7712543.5 What is 323 times -36579? -11815017 Product of -2 and -2329956. 4659912 -11 times -6206251 ...
{ "pile_set_name": "DM Mathematics" }
-2, 3, 11913, -5 in descending order. 11913, 3, -2, -5 Sort -4, -2, -1085, -25 in ascending order. -1085, -25, -4, -2 Sort -367, 1/2, -3/2, 5, 3. -367, -3/2, 1/2, 3, 5 Put -4, 4, 240/11, 2/9 in descending order. 240/11, 4, 2/9, -4 Put 4, -9, 6, -5, -1377 in decreasing order. 6, 4, -5, -9, -1377 Sort 3, 9, 21, -24, -1 ...
{ "pile_set_name": "DM Mathematics" }
8, -102? -176 What is the next term in 185642, 371297, 556952, 742607? 928262 What comes next: -1062, -1676, -2290, -2904, -3518? -4132 What is the next term in -34, -107, -242, -481, -866, -1439, -2242, -3317? -4706 What comes next: -1912, -1824, -1684, -1498, -1272, -1012? -724 What comes next: 128, 240, 412, 632, 88...
{ "pile_set_name": "DM Mathematics" }
(b) p (c) 2/13 c Suppose 13*l + 93 = 15. Let m be 76/168 - l/(-21). Which is the closest to m? (a) -3 (b) -0.5 (c) -0.2 c Let s = -1.97144 + -0.02856. Which is the nearest to 0.2? (a) s (b) 2/21 (c) -6/7 b Suppose -20*l = 14*l - 51*l - 442. What is the closest to 10 in l, 4, -6/7, -2? 4 Let h = 349 - 1049/3. Let...
{ "pile_set_name": "DM Mathematics" }
eters? 4200 How many micrograms are there in twenty-seven fifths of a milligram? 5400 How many seconds are there in 5.895007 nanoseconds? 0.000000005895007 What is 17/2 of a centimeter in millimeters? 85 Convert 0.861876ng to milligrams. 0.000000861876 What is one fifth of a kilometer in centimeters? 20000 How many mil...
{ "pile_set_name": "DM Mathematics" }
(-8)? True Let g be (-30)/(-1)*128/20. Suppose -4*p = 5*s - 18, 0 = 4*p + 11*s - 15*s. Suppose -p*t - g = -5*t. Is 16 a factor of t? True Let a(c) = -c**3 + 23*c**2 - 27*c + 9. Is a(9) a multiple of 30? True Suppose 3*c - 25 = -2*c. Suppose 4*n + 16 = 0, 0*h - c*n = -4*h + 8. Is 6 a factor of h - -1*(-44)/(-4)? False S...
{ "pile_set_name": "DM Mathematics" }
-1 Solve 0 = j + s + 1, 2*j + 4*s + 23 = 9*s for j. -4 Solve h + 6*v + 12 = 2*v, 0 = -2*h - 2*v - 12 for h. -4 Solve 4*p + 14 = -2*k + p, -2*k = 5*p + 18 for k. -4 Solve -4 = -4*d - 2*t + 4, 24 = 6*d - 3*t for d. 3 Solve 5*i + 14*r - 23 = 13*r, -2*i + 5*r = -20 for i. 5 Solve 2*v = 3*n - 2 + 5, -2*v = 0 for n. -1 Solve...
{ "pile_set_name": "DM Mathematics" }