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he units digit of i? 6 Let a be (14 + 4)*(-1 - -2). Let d = a - -4. What is the tens digit of d? 2 Let y = -1 - -6. Suppose 11 = 3*t + 4*a - y*a, 3*a = -t - 13. What is the units digit of t? 2 Let t(m) = 2*m + 2. Let k be t(2). Suppose 3*n - k = 5*n - 5*j, 40 = 4*n + 3*j. Suppose n*i - 8 = 3*i, -5*f = -5*i. What is the...
{ "pile_set_name": "DM Mathematics" }
2)*-39850. Let z be (-5)/(-3)*(110417 + -2). Let f = g - z. Round f to the nearest ten thousand. 80000 Let u = 9 - 8.9999959. What is u rounded to 6 dps? 0.000004 Let t(f) = f - 4. Let q be t(7). Let a(x) = 897*x**2 + 3*x + 2 - 141*x**2 + 2*x - 7*x. Let z be a(q). Round z to the nearest one thousand. 7000 Let y = 2 + ...
{ "pile_set_name": "DM Mathematics" }
e Which is the closest to 1? (a) -2 (b) -5 (c) 1042 (d) 12 a Which is the closest to -0.03? (a) -21 (b) -0.3 (c) -403/23 (d) -4 b What is the closest to -0.1 in 2, -16054, 4.14? 2 Which is the closest to 154/3? (a) 130 (b) 1 (c) -1/4 b What is the closest to -135.5 in 3, -0.4, -3044, 0.2? -0.4 Which is the c...
{ "pile_set_name": "DM Mathematics" }
hat is the m'th term of -2835366, -2835362, -2835358, -2835354, -2835350, -2835346? 4*m - 2835370 What is the x'th term of -709, -1121, -1533? -412*x - 297 What is the o'th term of 483526, 967052, 1450578, 1934104? 483526*o What is the i'th term of -125, -128, -97, -26, 91, 260, 487? i**3 + 11*i**2 - 43*i - 94 What is ...
{ "pile_set_name": "DM Mathematics" }
0. Calculate i. 1, 76 Let n(l) be the second derivative of l**5/25 + 8*l**4/5 + 6*l**3 + 44*l**2/5 + 339*l. What is o in n(o) = 0? -22, -1 Suppose 5*x - 97 = -2*g, -3*g = x - 180 + 15. Let m = 58 - g. Factor 3*q + 5*q + 2*q**2 - 4 - 9*q**3 + q**m. -(q + 1)*(3*q - 2)**2 Factor 1378276 + 1/4*q**2 + 1174*q. (q + 2348)**2/...
{ "pile_set_name": "DM Mathematics" }
) 0.6 b Let q = 763/3 + -255. What is the nearest to 1 in q, -0.4, 1/7, -162? 1/7 Let i be (-344)/(-224) - ((-9)/12)/(3/(-6)). Which is the closest to -2/5? (a) 6 (b) 1.1 (c) i c Let r be -2*-9*(-1)/108. Which is the nearest to r? (a) 0 (b) -2 (c) -6 a Let t = 1471/6 + -245. Suppose -5*w + 19 = 9. Let k be (3/(-5...
{ "pile_set_name": "DM Mathematics" }
1226 Express -316 - 291 + 10398*u + 607 in the form n + h*u and give h. 10398 Rearrange -2*h - 21*h**4 + 95 - 13*h**3 - 17*h**3 - 89 + 33*h**3 to b*h**3 + d*h**4 + x*h + v + m*h**2 and give d. -21 Rearrange -2256*r + 6166*r - 5 + 5 to the form p*r + w and give p. 3910 Express (0*h + h + h)*(0 + 1 - 2)*(2*h - h + h) + 2...
{ "pile_set_name": "DM Mathematics" }
08))))/sqrt(12)). -16*sqrt(17)/9 Simplify (-5 + (-6*(sqrt(343) - (sqrt(343) + 1)) - (-2 + sqrt(343) + 1)))**2. -28*sqrt(7) + 347 Simplify ((sqrt(48) + 3 - sqrt(48)) + -5 - (sqrt(192) + 0)) + -4. -8*sqrt(3) - 6 Simplify (0 + (0 + sqrt(75)*-1 - (sqrt(75) + sqrt(75) + -1 + -3)))**2. -120*sqrt(3) + 691 Simplify (-4*(1 + sq...
{ "pile_set_name": "DM Mathematics" }
3*z**2 - 7*z**3 - 4*z - 12*z**2. Let g(q) = -3*q**3 + 2*q**2 - 2*q + 3. Determine 5*g(a) - 3*h(a). 6*a**3 + a**2 + 2*a Let n = 63 - 52. Let x(h) = 3 - 2*h - 2 + 1. Suppose -3*f + 12 = -5*a, -2*a - 13 + 5 = -2*f. Let z(m) = 5*m - 6. What is f*z(p) + n*x(p)? -2*p - 2 Let a be 5 - (-5)/(35/(-49)). Let x(g) = -g + 1. Let ...
{ "pile_set_name": "DM Mathematics" }
What is the greatest common divisor of 6 and 598278? 6 What is the greatest common divisor of 410856 and 13091? 1007 What is the highest common divisor of 369 and 29069? 41 What is the greatest common divisor of 6 and 137937? 3 What is the greatest common divisor of 144 and 263592? 72 Calculate the highest common fact...
{ "pile_set_name": "DM Mathematics" }
- 105. Suppose -3*u - 64 = -7*u. Solve -2*m = k*m + u for m. -4 Let b = 19 + -16. Solve b*z = 2 + 1 for z. 1 Let m(a) = a**2 - 10*a - 15. Let s be m(12). Let o(l) = -1 - 1 + l + l. Let u be o(3). Solve 0 = 5*q - u + s for q. -1 Suppose 0 = -h + 3, 8 + 19 = 4*r + 5*h. Solve -r*b + b - 6 = 0 for b. -3 Suppose -3*k - 3*r...
{ "pile_set_name": "DM Mathematics" }
*g/(g*g**(-1/10)/g))/(g*(g**(-1/14)*g*g)/g*g**0/g*g) assuming g is positive. g**(356/35) Simplify (w**(7/3))**(1/2)*(w*w**(-5)/w*w)**(9/5) assuming w is positive. w**(-181/30) Simplify (r/(r*r**(-3/8)))/(r/r**2)*r**11*r**(-3) assuming r is positive. r**(75/8) Simplify s**(-6/5)*s/s**(-7)*(s**(-5/9)*s)**40 assuming s is...
{ "pile_set_name": "DM Mathematics" }
v**2 + 8*v - 10. Let f be i(-9). Let j = f + 0. Put w, 0, j in decreasing order. 0, j, w Let l be 10/(-3) + (-6)/9. Sort l, 0, 2 in decreasing order. 2, 0, l Let a = 3.5 + -5. Let r = a - -1.7. Put 0, r, 2 in descending order. 2, r, 0 Let v be (1/(1 - 0))/1. Suppose -16 = 2*r - 5*q, -q = 4*r + q - 16. Sort r, v, 0 in d...
{ "pile_set_name": "DM Mathematics" }
*0/y)/y**0 assuming y is positive. y**(7/2) Simplify ((w/((w/w**(-6))/w))/w**(4/7))/(w*w*w*w/(w*w**(-1/3))*w)**(1/48)*((w**3)**25)**(-12) assuming w is positive. w**(-912907/1008) Simplify ((y**38/(y*y**(-6/25)*y*y*y*y))/(y**(19/5)/(y**(-1/5)*y)))**(-37) assuming y is positive. y**(-27972/25) Simplify (((f/(((f*f*f**7*...
{ "pile_set_name": "DM Mathematics" }
alue of 9/(-21) + (-75)/(-126)? 1/6 Calculate 0 + -1 + (15 - (-1128)/(-84)). 4/7 Calculate (11 - 4376/352) + 4/22. -5/4 (5/(140/(-68)) - 1) + 3 -3/7 What is (-4 + -1)*(4 + 816/(-200))? 2/5 Evaluate 360/(-18)*(-2)/8. 5 Calculate (-4)/(-3)*(-48)/128. -1/2 What is the value of (-2)/2*9/9? -1 (30/(-36))/(4/(-24)) 5 Calcula...
{ "pile_set_name": "DM Mathematics" }
ve a. 292 Rearrange 2 + 112*g + 116*g + 146*g - 375*g - 887*g**2 - 3*g**4 to o*g**2 + l*g + j + n*g**4 + h*g**3 and give n. -3 Express (5*g + 0*g + 4*g)*(-g + g + 2*g)*(-4*g + 0*g - g)*(31 - 30 + 306) as d*g + r*g**2 + i + p*g**3 and give p. -27630 Express 12*p**3 - p + 346 - 127 - 132 - 3*p**4 - 135 + p**2 - 2*p**2 in...
{ "pile_set_name": "DM Mathematics" }
)/((-100)/110))/(6/(-900)*2) 30 What is 525/48650*420/(-315)? -2/139 (-1)/(-6)*(-442)/(-1326)*(-18)/(-4) 1/4 What is the value of -168*(-2)/15*940/1974? 32/3 What is the value of ((-270)/189)/(130/(-2366))? 26 Evaluate (2/(-4)*-3*76928/32454)/(15/27). 32/5 Evaluate ((-44)/(-4554))/(-3*4/108). -2/23 Evaluate -21*18/(-29...
{ "pile_set_name": "DM Mathematics" }
*r - 1 Collect the terms in -20 + 2*t - 14 - 19 + 53. 2*t Collect the terms in -13*g**3 + 10*g**3 - 15*g**3. -18*g**3 Collect the terms in -12*g**3 - 10*g**3 + 21*g**3 - 8*g**3. -9*g**3 Collect the terms in 13*r**2 + 21*r**2 - 34*r**2 + 16*r**2. 16*r**2 Collect the terms in -833 + 833 + 24*r. 24*r Collect the terms in ...
{ "pile_set_name": "DM Mathematics" }
t -2, c, -5 in increasing order. -5, -2, c Let y = -1.8 + 2. Put 0, y, 2/11 in increasing order. 0, 2/11, y Let i be ((-144)/(-70))/(-8) - (-2)/5. Put i, -7, 0 in descending order. i, 0, -7 Let f(n) = -n**3 - 5*n**2 + 3*n + 11. Let j be f(-5). Let b = -125/101 - -46027/303. Let s = b - 152. Sort j, s, -2/3 in ascending...
{ "pile_set_name": "DM Mathematics" }
5 + 156*c**3 - 217814*c**2. -7800*c**2 + 936 What is the second derivative of 59307*c**2*h**2*t**3 + 2*c**2*h**2 - 4*c**2*t + 2*c**2 + 3*c - 2*h*t**3 - 357*h*t wrt h? 118614*c**2*t**3 + 4*c**2 Find the third derivative of 208358*c**4*r**3 + 9*c**3*r**3 + 864901*c**2*r**3 + 3*c**2*r**2 wrt c. 5000592*c*r**3 + 54*r**3 Di...
{ "pile_set_name": "DM Mathematics" }
2)*-6 - ((sqrt(171)*1)/sqrt(9) + sqrt(76)/(-2*sqrt(4) + sqrt(4)))**2*-1. -10 + 27*sqrt(19) Simplify (-3*-5*(sqrt(125) + 1 + sqrt(125) + 5 + sqrt(125) - (-1 + sqrt(125))*6) + -4 + -4)**2. -77400*sqrt(5) + 282709 Simplify ((-5*(sqrt(104) + 5*sqrt(104)*-1))/(2*sqrt(968) - 2*(sqrt(8) - (sqrt(8) - (1*sqrt(8) + sqrt(8)) - sq...
{ "pile_set_name": "DM Mathematics" }
(7/k)/(6/24). Calculate the greatest common divisor of 14 and h. 14 Let u(d) = 4*d**2 - 62*d + 19. Let i be u(17). Suppose i = -47*l + 58*l. What is the greatest common divisor of 319 and l? 11 Let q(f) = 8*f + 155. Let v be q(-16). Let r = 633 - 336. What is the highest common divisor of r and v? 27 Suppose 154*z - 8...
{ "pile_set_name": "DM Mathematics" }
+ y*c**2 and give d. 6 Rearrange (1 + 2 - 8 + (-5 + 1 + 3)*(167 + 205 + 171))*(-3*o**3 + 6*o**3 - 2*o**2 - 4*o**3 - 3*o) to the form i*o + l*o**3 + p + c*o**2 and give l. 548 Rearrange (-216*w + 1145 - 1211 + 214*w)*(5*w - 3*w + w) to the form n*w + l + m*w**2 and give m. -6 Express 8*t**4 + 121*t - 7*t - 478*t**3 + 95...
{ "pile_set_name": "DM Mathematics" }
- h for s. 2 Let q be (0 + 3/2)*4/3. Solve -5*j + 9 = -q*j for j. 3 Let v(q) = q**3 + q**2. Let t be v(-4). Let r = 10 - t. Let x be (-4)/(-10) + r/5. Solve k = -2*k - x for k. -4 Suppose -7*z + 18*z = 55. Let v = -2 + 1. Let h be 1*(-6)/v - 0. Solve 3*n = z*n + h for n. -3 Let f be 0 + -1 + 7 - (-4)/(-1). Solve p + f*...
{ "pile_set_name": "DM Mathematics" }
21, -1519? -2*g**3 - 60*g - 15 What is the v'th term of 433, 629, 587, 307, -211, -967? -119*v**2 + 553*v - 1 What is the r'th term of 1155, 2355, 3567, 4797, 6051, 7335? r**3 + 1193*r - 39 What is the p'th term of 714, 1385, 2022, 2619, 3170? -p**3 - 11*p**2 + 711*p + 15 What is the c'th term of 247157, 247151, 247145...
{ "pile_set_name": "DM Mathematics" }
83 for o. 5 Solve 0 = -2*w - 8, -119*w + 58*w = 2*b - 64*w - 14 for b. 1 Solve 0 = -u - 80*g + 82*g + 5, 17 = 4*u - 7*g for u. -1 Solve -n - 341 = -3*t - 387, 3*t - 3*n + 54 = 0 for t. -14 Solve -190*y + 196*y + 3*c = 5*c + 6, 2*c - 24 = 0 for y. 5 Solve -4*b + 2*u - 290 = -292, 0 = 4*b + u - 17 for b. 3 Solve 2*k - 15...
{ "pile_set_name": "DM Mathematics" }
- 2*j**2 + 2*j**2)*(-3*j**2 + 0*j**2 + 4*j**2). -13*j**4 Expand 3 - 3 + v**5 + 0 + 0 - v**5 + (0 + v + 0)*(-2*v**4 + 2*v**4 + 2*v**4) + 3*v**4 - v**4 + 20*v**3 + v**5 - 44*v**3. 3*v**5 + 2*v**4 - 24*v**3 Expand (-o - 4 + 4)*(-3*o**3 - o**3 + 2*o**3) + 5*o**3 - 5*o**3 + 11*o**4 + (4*o + o**2 - 4*o)*(2*o - 2*o + o**2) +...
{ "pile_set_name": "DM Mathematics" }
19/8*p**4 - 7/5*p**5 + 0*p + p**2 - 1/4*p**6 - 10. Let u(c) = 0. What is c? -2, -1, 0, 1/3 Let c(u) be the first derivative of 2*u**7/105 - u**5/5 + u**4/3 + 5*u**2/2 + 7. Let b(k) be the second derivative of c(k). Factor b(d). 4*d*(d - 1)**2*(d + 2) Let y(v) be the first derivative of -v**4/114 - v**3/19 - 2*v**2/19 +...
{ "pile_set_name": "DM Mathematics" }
e r(11). 2 Let d(k) = k**3 + 36*k**2 - 76*k - 8. Determine d(-38). -8 Let a(x) = -x**2 + 14. Determine a(-5). -11 Let k(w) = 6*w - 29. Give k(7). 13 Let f(u) = -2*u + 43. Determine f(17). 9 Let i(n) = n**3 - 14*n**2 - 14*n - 20. Determine i(15). -5 Let t(w) = -10*w**2 - 3*w. What is t(-1)? -7 Let w(a) = 8*a - 36. Deter...
{ "pile_set_name": "DM Mathematics" }
e of (-34 - (-26 - (-27 - -68))) + -135? -102 Calculate (29 - -10 - 122) + (-9 + 5 - 5). -92 Evaluate -13 + (-53 - (-98 - 16)). 48 -131 - (-70 + -152) - 190 -99 Calculate (1114 - 1036) + (2 - 38). 42 What is the value of 1 - 125 - -5 - -20 - (-24 + 10)? -85 Evaluate 23 + (19 - 3 - ((40 - (-3 + 21)) + -4)). 21 Evaluate ...
{ "pile_set_name": "DM Mathematics" }
+ 140*n + 50. Calculate g(z(x)). 13*x**2 + 1820*x + 649 Let l(f) be the second derivative of 9*f**3/2 + 2*f - 967. Let z(c) = -81*c**2. What is l(z(i))? -2187*i**2 Let w(a) = -a - 4899 + 4899. Let s(y) = -4*y - y + 3*y. Let v(l) = 3*s(l) - 7*w(l). Let g(m) = -2*m**2. What is g(v(j))? -2*j**2 Let a(t) = -3*t. Let c(z) ...
{ "pile_set_name": "DM Mathematics" }
(-11)/13? 1 Let z be 1/3 + 147/(-9). Let h = z - -38. What is the units digit of h? 2 Let s(k) = k**3 - 7*k**2 + 3*k + 6. Let b be s(6). Let g = b - -6. What is the units digit of 2*(27/g)/(-3)? 3 Let b = 6 + -3. Let o be 6 - -1 - (7 - 4). Suppose b*q - 36 = o*u, 0*q - u + 5 = q. What is the units digit of q? 8 Suppose...
{ "pile_set_name": "DM Mathematics" }
6*a + 2924 = 37*a. Calculate the remainder when a is divided by 67. 1 Let z(v) = -3*v - 2. Let y be (-2)/(-13) - 438/(-26). What is the remainder when y + 5/(5/(-4)) is divided by z(-2)? 1 Let j(x) = x**2 + 20*x + 110. What is the remainder when j(-15) is divided by 16? 3 Suppose 166 + 212 = 2*i. What is the remainder ...
{ "pile_set_name": "DM Mathematics" }
t b be s(16). Solve -2*c + b*c - 6 = 0 for c. 2 Suppose 2*a = -5*n - 3*a + 105, -4*a + 100 = 5*n. Solve n*v - 17*v = -4 for v. 4 Let l(g) = -g**2. Let d(v) = -6*v**2 - 3*v - 7. Let i(f) = -d(f) + 5*l(f). Let c be i(-4). Solve -4*y = 3 - c for y. 2 Let x = 24 + 6. Suppose -x = -d + 4*d. Let u = d - -13. Solve 12 = -u*f ...
{ "pile_set_name": "DM Mathematics" }
Differentiate d(a) with respect to a. -4 Let z(g) = g**2 + g - 1. Let k = -288 - -290. Let t(y) = 34*y**2 - 12. Let w(l) = k*t(l) + 2*z(l). Find the second derivative of w(m) wrt m. 140 Let f(c) be the third derivative of -241*c**4/24 - 1535*c**3/6 - 10*c**2 - 24. Find the first derivative of f(z) wrt z. -241 Let k(u)...
{ "pile_set_name": "DM Mathematics" }
to 7 dps? 0.0000015 Let g be 32/8 + (1 - 0). Let m be (2000003/5 + -3)*g. Suppose -5*o - 3*y = -m, 0 = -4*o - 5*y + 618984 + 980996. What is o rounded to the nearest 100000? 400000 Let z be 2/(-6) - ((-129)/9 + 2). What is z rounded to the nearest ten? 10 Suppose 3*w - 3*q - 2*q - 52199975 = 0, 2*q + 69599990 = 4*w. Wh...
{ "pile_set_name": "DM Mathematics" }
igger: s or f? f Let a be 22/(-24) + 7/28. Is -2/3 less than a? False Let s = 30 + -29. Let d = 12/13 + -34/65. Is s at least as big as d? True Let s = -1017 + 1995/2. Let l = -153/8 - s. Are l and -1 unequal? True Suppose -6 = 3*m - 2*r, -3*m - r = 2*m + 10. Which is smaller: -3/2 or m? m Let r = -10 - -20. Is r small...
{ "pile_set_name": "DM Mathematics" }
t x(i) = 6*i + 1. Let l be (-2)/(-5) - (-8)/(-20). Suppose -3*v - 3 = -l*v. Let q be x(v). Let u(z) = z + 2. Calculate u(q). -3 Let l(o) be the third derivative of -o**4/12 + 5*o**3/3 + 46*o**2. Determine l(10). -10 Let i(w) = -w**2 - 5*w - 6. Suppose -3*t + 12 = 3*c, -5*t + c + 17 = 3. Let b = 2 - 0. Suppose -b*j = -t...
{ "pile_set_name": "DM Mathematics" }
y**(340155/86) Simplify (((l*l/(l*(l/(l**(4/17)*l)*l)/l))/l**(-9))/(l**4/l)**(-33))**(-9/10) assuming l is positive. l**(-16713/170) Simplify (((c/((c*c*c/(c*c**(3/10)))/c*c))/(c*c**(-7))*c**9*c**4)**(-25))**(1/27) assuming c is positive. c**(-305/18) Simplify ((v**1/v)**(-2))**(-24)/((v/(v**(1/12)/v))/v**(-4))**47 ass...
{ "pile_set_name": "DM Mathematics" }
x. Let g(f) = o(f) - 3*t(f). Determine 6*b(k) - 7*g(k). k**3 + 3*k**2 - k Let u be (1 + -31)/(-5) - 7. Let q be 5*(28/10 - 2). Let n(z) = -5*z**3 - 3*z**2 + 2*z + 4. Let w(i) = -i**3 - i**2 + i + 1. Calculate q*w(k) + u*n(k). k**3 - k**2 + 2*k Let s(h) = -4433*h**2 + 77*h. Let a(v) = -286*v**2 + 5*v. Determine -77*a(w)...
{ "pile_set_name": "DM Mathematics" }
- 20 = -11*h. Suppose 5*z + 3 = -t + 59, h = -t. Factor o**2 + 13*o + 2*o**2 + o - 2*o + z. 3*(o + 2)**2 Let j = 27 - 20. Suppose -j*y + 20 = -2*y. Factor 0*h**3 - 4*h**3 + 4*h + 6*h**y - 10*h**2 + 4*h**4. 2*h*(h - 1)*(h + 1)*(5*h - 2) Determine j so that -76/3*j - 12*j**2 + 76/3*j**3 + 20/3*j**4 + 16/3 = 0. -4, -1, 1/...
{ "pile_set_name": "DM Mathematics" }
37. What is the lowest common multiple of 4 and x? 16 Let x be -5*(2731 - -2)/(-3). Suppose x = 4*p - 3433. Let l = p + -19993/10. What is the common denominator of l and -59/16? 80 Suppose -3*w + 18 = -5*a, -w + 4*a + 6 = -0*a. Suppose 8*l - 33 - 47 = 0. What is the least common multiple of l and w? 30 Let l(v) = -3*...
{ "pile_set_name": "DM Mathematics" }
is -14041241020 + 0? -14041241020 In base 15, what is -1898 - -ab0? -cd8 In base 7, what is -13554 - -46115? 32231 In base 11, what is -196629 + -1a20? -198549 In base 15, what is -1 + -1c62? -1c63 In base 15, what is -45ae - 1aa? -4769 In base 15, what is -12e0 + 5ed? -be2 In base 5, what is -1121 - 2244302? -2300423 ...
{ "pile_set_name": "DM Mathematics" }
-306*s Let v(q) = 2*q**3 + 4. Let o(g) = 3*g**3 + 9. Let y(f) = 3*o(f) - 5*v(f). Differentiate y(t) with respect to t. -3*t**2 What is the second derivative of -y**5 - 23*y**3 + 23*y**3 + 8*y + 6*y**5 wrt y? 100*y**3 What is the first derivative of -3 - 10*s**3 + 1 + 3 wrt s? -30*s**2 Let q = 14 + -10. What is the thi...
{ "pile_set_name": "DM Mathematics" }
(a) -0.2 (b) -4/5 (c) u a Suppose 0 = -3*r + 6*r + 5*p - 49, 39 = 2*r - 3*p. Let v be ((-4)/r)/(4/(-6)). What is the second biggest value in 3, 4, v? 3 Suppose -3 = 4*s - 15. Let k be 6658/(-84) + 2/4. Let u = k + 235/3. Which is the third smallest value? (a) -0.5 (b) u (c) s c Let n = 24 - 27.1. What is the seco...
{ "pile_set_name": "DM Mathematics" }
et p = -300815/36638 + -10/2617. What is the common denominator of -51/89 and p? 1246 Suppose 0 = -3*l + u + 239, -5*l + 13*u + 396 = 9*u. Calculate the common denominator of 101/24 and (-100)/120*(-3)/l. 96 Let l = -1517 + 1539. Suppose 0 = -4*q - 2*x + 20706, 5*q = -7*x + 3*x + 25890. What is the common denominator o...
{ "pile_set_name": "DM Mathematics" }
6042, 5357549, 6429054, 7500557? -c**2 + 1071516*c - 6 What is the l'th term of 5271174, 5271182, 5271194, 5271210, 5271230, 5271254, 5271282? 2*l**2 + 2*l + 5271170 What is the p'th term of -1120, -2787, -5594, -9541, -14628, -20855? -570*p**2 + 43*p - 593 What is the n'th term of 149121, 298155, 447189? 149034*n + 87...
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 19 What is the cube root of 7529 to the nearest integer? 20 What is the third root of 333 to the nearest integer? 7 What is 1011 to the power of 1/3, to the nearest integer? 10 What is 948 to the power of 1/2, to the nearest integer? 31 What is 41249 to the power of 1/7, to the nearest integer? 5 Wha...
{ "pile_set_name": "DM Mathematics" }
- 8*r**2 - 12*r + 12. Let p be t(9). Let d be (-2 + 1)*42/p. Determine u so that -4/5 - d*u**2 - 18/5*u = 0. -1, -2/7 Let d(m) be the first derivative of -2*m**5/5 + 20*m**4 - 400*m**3 + 4000*m**2 - 20000*m - 36. Factor d(f). -2*(f - 10)**4 Suppose -4 = -4*i - 2*o, 5*o = -0*o - 20. Let r(v) be the first derivative of ...
{ "pile_set_name": "DM Mathematics" }
ment from fdohddfflifdhh. What is prob of picking 1 l, 1 o, 1 i, and 1 d? 4/1001 Four letters picked without replacement from lbbbgfz. Give prob of picking 1 l, 2 b, and 1 f. 3/35 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from unnqryoo. 1/28 What is prob of picking 1 t and 1 e wh...
{ "pile_set_name": "DM Mathematics" }
ne fifths of a kilogram? 4200 Convert 415186.1 years to decades. 41518.61 How many nanometers are there in 661.8787 millimeters? 661878700 How many milliseconds are there in 66.0638 seconds? 66063.8 Convert 5168.651l to millilitres. 5168651 How many days are there in 1656.96057 milliseconds? 0.000019177784375 What is 1...
{ "pile_set_name": "DM Mathematics" }
)/sqrt(6)). -sqrt(13)/6 Simplify (1*sqrt(2000) + sqrt(2000))/sqrt(10) + sqrt(8)/(sqrt(256) + sqrt(256) + -1*sqrt(256)). 161*sqrt(2)/8 Simplify (1 + -1 + 2 + sqrt(76) + sqrt(76))**2 + 3. 16*sqrt(19) + 311 Simplify (-1*(1 + sqrt(720)*-1 + sqrt(720) + sqrt(720)*1 + 3))**2. 96*sqrt(5) + 736 Simplify (-2 + -1 + 3 + (sqrt(44...
{ "pile_set_name": "DM Mathematics" }
Calculate 0.07*105185. 7362.95 -0.5*-0.1165638 0.0582819 Multiply -0.37 and -1195. 442.15 Work out 3.5323 * -3. -10.5969 Product of -77 and 4243. -326711 What is the product of -2 and 12778? -25556 0.01*-281.42 -2.8142 Multiply -0.5 and 51814. -25907 -18.5 times 0.072 -1.332 Calculate -0.3*19.1727. -5.75181 0.1 times 4...
{ "pile_set_name": "DM Mathematics" }
2063, 104311 List the prime factors of 7167838943. 107, 571, 117319 What are the prime factors of 46057735? 5, 853, 10799 What are the prime factors of 225033490? 2, 5, 11, 2045759 What are the prime factors of 419224088? 2, 52403011 What are the prime factors of 171954790? 2, 5, 7, 53, 46349 List the prime factors of ...
{ "pile_set_name": "DM Mathematics" }
b - 14 = -2*l, 3*l = 3*b + 2*b + 2. Suppose n - a + 2 = 0, -1 + 7 = b*a. Let z(q) be the third derivative of q**4/6 - q**3/6 - q**2. Give z(n). 3 Let x(g) = 19*g - 8*g - 1 + 0*g**2 - 7*g - g**2. Let k(r) = -5 + r - 1 - r + 2*r. Let f be k(4). Give x(f). 3 Let b(v) = v**3 - 11*v**2 + 10*v. Let c(t) = -t**2 + 31*t + 10. ...
{ "pile_set_name": "DM Mathematics" }
t of 21999701 to the nearest integer? 280 What is 2775860 to the power of 1/9, to the nearest integer? 5 What is 33245481 to the power of 1/3, to the nearest integer? 322 What is 4094319 to the power of 1/2, to the nearest integer? 2023 What is the fourth root of 9660033 to the nearest integer? 56 What is 764862 to the...
{ "pile_set_name": "DM Mathematics" }
. Calculate i(f(r)). 25*r**4 Let v(o) = -8*o - 8. Let b(g) = g - 2. Let h(i) = 4*b(i) - v(i). Let a(l) = 2*l**2. Determine h(a(t)). 24*t**2 Let p(i) = -i. Let r be 2 + -1 + (-2)/(-1). Let a(v) be the first derivative of 1 + 2*v + 2*v**2 - r - 2*v. Determine a(p(n)). -4*n Let o(j) = 7*j. Let a(t) = -39*t**2. Give o(a(c)...
{ "pile_set_name": "DM Mathematics" }
1. Suppose -9 = -4*j - 5*m, 5*j - c = 3*m + 24. Calculate the remainder when 23 is divided by j. 5 Suppose 13*y + 18 = 16*y. What is the remainder when 4 + 114/(y + -4) is divided by 32? 29 Let k = 17 + -10. What is the remainder when -10 - -41 - ((-10)/5 - 4) is divided by k? 2 Let b = -17 - -23. Suppose g - b = -28. ...
{ "pile_set_name": "DM Mathematics" }
orm v + a*l and give a. -96 Express (39 + 188 - 60)*(n + n + 2*n) as l*n + q and give l. 668 Rearrange (-4 + 6 + 9)*(-7 + 11 + 2)*(2*m + 0*m + m) to the form o*m + r and give o. 198 Express d**2 - 511 - 4*d + 508 + 55*d - 2*d**4 in the form w*d**3 + q*d**4 + g + y*d + h*d**2 and give w. 0 Rearrange -11*p + 2*p + p + (-...
{ "pile_set_name": "DM Mathematics" }
300212*a/3 + 11265905618/9. 2*(3*a + 75053)**2/9 Factor 2*t**3 - 4372*t**2 + 39202*t - 34832. 2*(t - 2177)*(t - 8)*(t - 1) Solve 5*k**4 + 5570*k**3 + 1241165*k**2 - 172714560*k + 4807480320 = 0 for k. -608, 51 Factor -4*r**2 + 4560*r + 13716. -4*(r - 1143)*(r + 3) What is u in u**2/6 + 1433*u/6 - 239 = 0? -1434, 1 Fin...
{ "pile_set_name": "DM Mathematics" }
m - 21 = -6*m. What is the units digit of u(m)? 3 Let v = -1224 - -2119. What is the units digit of v? 5 Let j(n) = 499*n**2 + 2*n. What is the units digit of j(-1)? 7 Let s be 1/4 - (-330)/(-8). Suppose 0 = 5*o - 146 - 149. Let c = o + s. What is the units digit of c? 8 Suppose 4*w + 4*w = 784. Suppose 5*y + w - 263 =...
{ "pile_set_name": "DM Mathematics" }
/4 What is the smallest value in -0.3, -1, 6/37, 0, -3, -54? -54 Which is the fifth biggest value? (a) 13 (b) -349 (c) -1 (d) -3/2 (e) -9 b Which is the biggest value? (a) -17 (b) 0.2 (c) 116 c Which is the fifth biggest value? (a) -5 (b) 21/2 (c) 0 (d) -2/203 (e) 0.2 a What is the fourth smallest value in...
{ "pile_set_name": "DM Mathematics" }
give o. 1 Rearrange -6*h**3 + h**3 + 694*h + 2*h**2 - 2*h**4 - 693*h to p + m*h + y*h**3 + u*h**4 + k*h**2 and give k. 2 Express (y**3 + y**3 + 0*y**3)*(-1 - 4 + 6 + (-6 + 2 + 2)*(-2 + 3 + 5)) in the form k*y + q*y**2 + p*y**3 + d and give p. -22 Express -4*x + x**3 + 2 + 5*x + x**4 + 0*x**2 + 0 - x**2 in the form m*x...
{ "pile_set_name": "DM Mathematics" }
ger? 679 What is the sixth root of 6893423 to the nearest integer? 14 What is the seventh root of 88893 to the nearest integer? 5 What is the seventh root of 614274 to the nearest integer? 7 What is the square root of 346756 to the nearest integer? 589 What is 45385 to the power of 1/4, to the nearest integer? 15 What ...
{ "pile_set_name": "DM Mathematics" }
- w**3 - 1 wrt w. -3*w**2 Let k(j) be the third derivative of -3*j**2 + 1/40*j**6 + 0*j**5 + 0 + 0*j + 0*j**3 - 1/8*j**4. What is the second derivative of k(l) wrt l? 18*l Let y(j) = -j + 4. Let a be y(5). Let w(u) = -5*u - 1. Let i be w(a). What is the derivative of -2 - o - 1 + i wrt o? -1 Let b(r) = -42*r**3 + 15*r*...
{ "pile_set_name": "DM Mathematics" }
the third derivative of 17*b**5 - 20*b**2 + 8*b**2 + 0*b**5 + 0*b**5 wrt b? 1020*b**2 Find the second derivative of -22*b**4 - 23*b - 21*b**4 - 14*b**5 + 43*b**4 wrt b. -280*b**3 Find the second derivative of 19*z**2 - 7*z + 11 + 3 - 14 wrt z. 38 Let n(v) = v - 5. Let z be -2 + (7 - 2) + 4. Let k be n(z). What is the s...
{ "pile_set_name": "DM Mathematics" }
arrange (11*m - 28*m - 12*m)*(0 + 0 - 1)*(0*m + 2*m - 579*m**2 - 2*m - 420*m**2) to the form w*m + b*m**3 + n*m**2 + d and give b. -28971 Rearrange (3 + 1 - 5 + (0 + 0 - 1)*(0 + 0 + 2) + (1 - 21 - 4)*(-2 + 7 - 3))*(5*q - 11*q + 14*q**2 - 24*q**2) to d*q + r*q**2 + o and give d. 306 Rearrange -14221*j**4 - 5 + 28449*j**...
{ "pile_set_name": "DM Mathematics" }
*r**2 - 3*r - 1. Let f(z) = 3*z**3 - 7*z**2 + 7*z + 2. Let b(y) = 6*y - 1. Let t be b(-1). Give t*j(o) - 3*f(o). -2*o**3 + 1 Let d(u) = 2*u**2 - 3*u + 2. Let x be ((-12)/(-10))/(12/40). Suppose -x*q = -7*q - 9. Let m(i) = -6*i**2 + 8*i - 5. Give q*m(l) - 8*d(l). 2*l**2 - 1 Let k(m) = 3*m**2 + 2*m - 2. Let x(b) = -42*b ...
{ "pile_set_name": "DM Mathematics" }
third derivative of -90527667*n**3 + 456*n**2 + n - 17206? -543166002 Find the second derivative of -164573011*b**3*q**2 + 22*b**3*q + 1127041*b**3 wrt q. -329146022*b**3 What is the second derivative of -12*v*w**2*x**2 - 7*v*w*x + 2*v*w - 6*v*x*y**2 + 357769*w**2*x**2*y**2 + 16*w*x**2*y**2 - 10*w*x**2 - w + y**2 wrt w...
{ "pile_set_name": "DM Mathematics" }
, 115, 171, 227, 283, 339? 395 What is the next term in -48, -379, -1284, -3051, -5968? -10323 What is the next term in 563, 563, 561, 557, 551, 543? 533 What comes next: 6, 39, 110, 231, 414, 671, 1014? 1455 What is next in -11665, -23331, -34997, -46663, -58329? -69995 What is next in -82, -559, -1840, -4327, -8422? ...
{ "pile_set_name": "DM Mathematics" }
be g(-7). Is d less than or equal to -24? False Suppose 49*k + 7 = 54*k - 2*u, 4*k + 5*u + 34 = 0. Which is smaller: k or -1/913? k Let c(f) = -f**2 - 18*f - 17. Let t be c(-17). Suppose -2*h - h = -t*h. Which is greater: h or 4/25? 4/25 Suppose -43*h - 40*h - 73*h = -54912. Do 2472/7 and h have the same value? False L...
{ "pile_set_name": "DM Mathematics" }
0. Calculate p. 2, 15, 81 Let -5*m**5 + 170*m**4 - 140*m**3 - 810*m**2 - 495*m = 0. What is m? -1, 0, 3, 33 Let -8*f**4/5 + 338*f**3/5 - 3196*f**2/5 - 2678*f/5 + 864/5 = 0. What is f? -1, 1/4, 16, 27 Solve 2*o**3/7 + 338*o**2/7 + 7720*o/7 + 7384/7 = 0. -142, -26, -1 Find v such that -v**5 + 32*v**4/5 + 168*v**3/5 + 128...
{ "pile_set_name": "DM Mathematics" }
*y + 2*o = 2*y - 23. Let s = 23 + y. Let f(p) = p**3 - 5*p**2 + 6*p - 2. Let w be f(s). Put 0, 3, w in increasing order. 0, 3, w Let m = -7.9 - -7.5. Suppose 2*r - 1 = 3. Sort m, -1, r. -1, m, r Let z(t) = -t**3 + 6*t**2 + t - 3. Let o(n) = n**3 - 7*n**2 - n + 3. Let h(j) = -3*o(j) - 4*z(j). Let v be h(2). Put 1/4, 1/3...
{ "pile_set_name": "DM Mathematics" }
. Let d(l) = -4 + 0 + 2*l + c. What is y(d(g))? 20*g**2 Let s(c) = 4*c**2. Let r(a) = -297*a**2 + 589*a**2 - 297*a**2. What is s(r(t))? 100*t**4 Let n(m) be the second derivative of -5*m**3/6 - 4*m. Let r(u) = 2*u**2. Determine n(r(j)). -10*j**2 Let b(u) = -560*u**2. Let j(n) = 5*n. Determine j(b(d)). -2800*d**2 Let u(...
{ "pile_set_name": "DM Mathematics" }
-9/8? x Suppose -9 = 6*n + 183. Let o be (-5)/((-10)/(-72)) + 224/56. Are n and o unequal? False Let t = 171540/71 + -2416. Which is smaller: 0 or t? 0 Let p = 3 + -3.1. Let y = p + 0.2. Let o = -197 - -201. Is y equal to o? False Let a(v) = -4*v**2 - v. Let t be a(1). Let q(i) = -i + 6. Let k be q(t). Let n = k + -11....
{ "pile_set_name": "DM Mathematics" }
zzm. What is prob of sequence muk? 1/336 Calculate prob of sequence ps when two letters picked without replacement from {k: 3, p: 4, s: 1, v: 11}. 2/171 Four letters picked without replacement from {c: 2, b: 7}. What is prob of sequence bbbb? 5/18 Four letters picked without replacement from {o: 4, u: 14}. Give prob of...
{ "pile_set_name": "DM Mathematics" }
sqrt(28) + 1)**2 + 5 + (sqrt(7) - (sqrt(7) + -1)**2)))*1. -29 - 6*sqrt(7) Simplify -2*(sqrt(136) + (sqrt(136) - sqrt(136)*-2*-3) + sqrt(136))/((sqrt(648) - (sqrt(648) + 2*sqrt(648))) + sqrt(648)). -2*sqrt(17)/3 Simplify sqrt(52)/sqrt(4)*-4 + (-2*sqrt(13))**2 + -4 - (-1 + -2*sqrt(1300)). 49 + 16*sqrt(13) Simplify sqrt(1...
{ "pile_set_name": "DM Mathematics" }
2*d**3 - 2*d**3 + 2*d**3)*(-1 - d**2 + 1). -14*d**5 Expand (-1 - y**3 + 1 + (y + 0*y - 2*y)*(-y + 2*y**2 + y))*(-2 + 0 + 5). -9*y**3 Expand (0*v + 4*v - 2*v)*(-v**2 + v - v) + 9 + 6*v**3 - 9. 4*v**3 Expand 6*j**2 - 4*j**2 - 4*j**2 + (2 - 2 + j)*(-1 + 1 - j) + (1 + 2 + 0)*(-2*j**2 + 6*j**2 + j**2). 12*j**2 Expand (1 - 6...
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 2396470312? 2, 2017, 148517 List the prime factors of 4738729457. 7, 11, 47, 97, 13499 List the prime factors of 984667407. 3, 373, 879953 List the prime factors of 2240774131. 17, 37, 3562439 List the prime factors of 1220340776. 2, 152542597 List the prime factors of 109749618. 2, 3, 11, 67...
{ "pile_set_name": "DM Mathematics" }
2) 1/11 16/(-20) + 7/(-35) - 1 -2 Evaluate 19/95 + (-216)/(-20) - 2*4. 3 Calculate (0 - (10/(-20))/((-2)/8)) + -2. -4 Evaluate 592/(-120) - 6/(-27 + 9). -23/5 (2256/1880)/(1 - 46/40) -8 ((-2405)/221 - -4) + -3 + 49/17 -7 What is the value of (-16)/(-80) - (-2314)/(-520)? -17/4 What is (-4)/2*377/58? -13 Calculate (1/(-...
{ "pile_set_name": "DM Mathematics" }
**2 - 71*j + 8. Give l(3). 2 Let w(c) = -410*c - 20502. Calculate w(-50). -2 Let t(r) = -3*r**3 - 12*r**2 - 14. What is t(-4)? -14 Let t(z) = z**2 + 30*z - 162. Determine t(5). 13 Let m(q) = -q**3 + 28*q**2 - 96*q + 2. Calculate m(24). 2 Let q(b) = -45*b - 3973. What is q(-88)? -13 Let z(j) = -2*j**3 - 14*j**2 - 21*j +...
{ "pile_set_name": "DM Mathematics" }
*d = 5*v - 35, 24*v = -2*d + 20*v + 6 for d. -5 Solve -5*l - 8 = -294*q + 296*q, q - 3*l + 15 = 0 for q. -9 Solve 185*j - 189*j + n = 0, -5*j + 2*n = 6 for j. 2 Solve -10*r - 6 = -13*r, -3*z - 22 = 7*r for z. -12 Solve 2*t - 22 = 2*z, -2*t + t - 222*z = -225*z - 27 for t. 3 Solve -32 = 6*d - 4*g, 13*d = 15*d + 3*g - 50...
{ "pile_set_name": "DM Mathematics" }
Suppose 8*z - 36623 + 6346 = 15083. Is 9 a factor of z? True Suppose k - 1052 = 3*l - 5549, l - 4*k - 1510 = 0. Does 2 divide l? True Suppose -23*b = -3670 - 25908. Suppose -3*k + 2539 = k - 3*n, 4*n = -2*k + b. Is k a multiple of 20? False Does 117 divide 4502 + -33 - (2 - -21)? True Let s = 81 - -123. Let x = s + -14...
{ "pile_set_name": "DM Mathematics" }
s) = -s**2 - 1 + 5*s - 3*s**2 + 5*s**2. Let x be l(-7). What is the tens digit of n(x)? 3 Let x = -963 - -1865. What is the units digit of x? 2 Let h = 5724 - 3498. What is the thousands digit of h? 2 Let w(y) = -453*y + 307. What is the tens digit of w(-6)? 2 Let h be (-2)/8 + (-45)/(-4). Suppose 1 = 5*s + h. What is ...
{ "pile_set_name": "DM Mathematics" }
5). 12 Let v(s) = 2*s**2 - 11*s + 8. Let q be v(5). Let u(b) = q*b**2 - 58 + 56 - b**2 + 2*b. Determine u(2). 10 Let k = -11 - -16. Let g(o) = 17 - 5 - 10 + o**2 - 6*o. Determine g(k). -3 Let p(s) = 7*s + 2 - 2*s + 9 - 12. What is p(-3)? -16 Let r(l) = -2*l - 2. Let g(f) = f**2 + 10*f + 10. Let b be ((-3)/(-2))/((-15)/...
{ "pile_set_name": "DM Mathematics" }
*2 + 1. 2872*y**2 + 1 Collect the terms in 1449*s**2 - 195961 - 1450*s**2 + 65322 + 65317 + 65322. -s**2 Collect the terms in -17*o**3 - 651*o + 21*o**3 - 2936*o**2 + 2936*o**2. 4*o**3 - 651*o Collect the terms in -1725892495*y + 9*y**2 + 3451784990*y - 1725892495*y + 4. 9*y**2 + 4 Collect the terms in -17*r + 8*r - 21...
{ "pile_set_name": "DM Mathematics" }
s the units digit of 62280? 0 What is the tens digit of 17935? 3 What is the units digit of 1388? 8 What is the units digit of 6162? 2 What is the tens digit of 115868? 6 What is the hundreds digit of 35612? 6 What is the tens digit of 22682? 8 What is the units digit of 1921? 1 What is the tens digit of 5587? 8 What i...
{ "pile_set_name": "DM Mathematics" }
M How many minutes are there between 2:14 AM and 12:38 PM? 624 How many minutes are there between 2:57 AM and 1:24 PM? 627 How many minutes are there between 10:45 AM and 1:23 PM? 158 What is 685 minutes after 2:53 AM? 2:18 PM What is 110 minutes after 11:05 PM? 12:55 AM How many minutes are there between 2:36 PM and 4...
{ "pile_set_name": "DM Mathematics" }
e remainder when 53 is divided by x? 11 Suppose -4*k - 22 = -l, -l + 3*k - 4*k + 7 = 0. What is the remainder when 38 is divided by l? 8 Suppose -9 - 27 = -4*l. What is the remainder when 35 is divided by (-14)/63 - (-173)/l? 16 Suppose 3*p - 36 = -p. Let d = 4 - -12. Calculate the remainder when d is divided by p. 7 S...
{ "pile_set_name": "DM Mathematics" }
What is j(u)? 8 Suppose -2*w + 21 = 3. Suppose x = v - 2, -4*v + w - 46 = 5*x. Let c(l) = -l**2 + 3. Calculate c(v). -6 Let a(z) be the first derivative of 4*z**2 - 16. Give a(1). 8 Let g(k) be the second derivative of 1/3*k**4 + 0 - 1/20*k**5 - 3*k + 2*k**2 + 0*k**3. Suppose 3*n - 9 = 3. Give g(n). 4 Let k(q) = -5*q*...
{ "pile_set_name": "DM Mathematics" }
)*-3. What is the third derivative of j**3 - f*j**3 - j**2 + 5*j**2 wrt j? -24 What is the second derivative of 85 - 85 + 7*k**4 + 2*k - 3*k**4 wrt k? 48*k**2 Let p = 7 - 3. Let o be 5/2 - 2/p. What is the second derivative of -o*b - 3*b + 2*b**3 + 4*b wrt b? 12*b Let v(h) be the first derivative of 3*h**2/2 + 7*h - 4....
{ "pile_set_name": "DM Mathematics" }
e (12/(-90)*-3)/((-8)/300*-3). Solve 11*a + n*a = 7*a for a. 0 Let p be ((-32)/(-20))/(68/85). Suppose -3*c - 3 = 2*k, 3*k - p*c = 2*c + 38. Solve k = x - 7*x for x. -1 Suppose 10*l - 6*l - 3*w - 9 = 0, 2*l = -w - 3. Solve -2 = -s - l for s. 2 Suppose 21*v = 23*v + 42. Let p be 38/14 + -3 - 615/v. Suppose -7*g + p + 34...
{ "pile_set_name": "DM Mathematics" }
*2)*(2 - 2 - 2*p) - 3*p**3 + 2*p**3 + 3*p**3. -21*p**3 + 396*p**2 Expand (-t + 0 + 0)*(-97 - 244 - 126)*(-4*t**3 - 4*t**3 + 2*t**3). -2802*t**4 Expand 0*z + 0*z - 3*z**3 + (4*z**2 - 8*z**2 + 13*z**2)*(-4*z + 7*z + 2*z). 42*z**3 Expand (170 - 2223 + 247)*(2*s**4 - 2*s + 2*s). -3612*s**4 Expand ((-1 + 0 + 2)*(-2*f + 3*f ...
{ "pile_set_name": "DM Mathematics" }
olve f*k = k for k. 0 Let f = 2 - 5. Let p = 4 + f. Suppose 3*h - 5*y = -16, h - 3*y = -4*h. Solve h = 2*x + p for x. 1 Suppose 3*m = 5*d + 4*m - 24, 28 = 2*d + 5*m. Suppose 0*b = -b + d. Solve 2*t - b*t = -6 for t. 3 Let s(i) = i**2 - i + 0 + 0*i**2 + 5. Let q = 3 + -3. Let k be s(q). Solve k*c + 5 = 4*c for c. -5 Let...
{ "pile_set_name": "DM Mathematics" }
Suppose 6380 = 10*m - a*m + 3*v, 5*v + 12793 = 2*m. Is m a prime number? True Let n = 13219 + -731. Suppose -7*c - n = -15*c. Is c prime? False Let n(d) = d**3 - 13*d**2 - 4*d + 11. Let y be n(12). Let x = -306 + y. Is (x/4)/(11/(-44)) a composite number? False Let s(f) = -f**3 + 13*f**2 + 3. Let r be s(13). Let w be ...
{ "pile_set_name": "DM Mathematics" }
0 + 3*j**2 + 12*j. Let t(n) be the first derivative of p(n). Find the third derivative of t(g) wrt g. 1320*g**3 Let w(n) be the second derivative of 0*n**3 + 17/20*n**5 - 11*n + 0*n**4 - 7/2*n**2 + 0. What is the first derivative of w(l) wrt l? 51*l**2 Suppose -73 = -5*t + 77. What is the third derivative of -1158 + t*...
{ "pile_set_name": "DM Mathematics" }
t replacement from {c: 4, a: 2, f: 1}. What is prob of picking 1 c and 1 f? 4/21 Calculate prob of picking 3 v and 1 x when four letters picked without replacement from vvvxxvvxxx. 5/21 What is prob of picking 3 a when three letters picked without replacement from mahmaaanimhamaq? 4/91 What is prob of picking 1 k and 3...
{ "pile_set_name": "DM Mathematics" }
*y + 2 = -7*s for s. 2 Solve 13 = -4*h - m, 0 = 11*h - 9*h + 4*m + 10 for h. -3 Solve t - 3*m = 5*t - 5, 2*m - 15 = -5*t for t. 5 Solve -4*y + 2*y + 22 = 5*l, y + 7 = 2*l for y. 1 Solve 5*x - 3 = s + 1, 2*s + 2*x - 4 = 0 for s. 1 Solve -14 = 2*p - i, 5*p + 18 - 9 = -4*i for p. -5 Solve -3*w = 2*a + 23, 2*a - 35 = 7*a +...
{ "pile_set_name": "DM Mathematics" }
201*k + 2)*(2*k**2 + 3*k**2 - 6*k**2) to r*k**4 + i*k + n*k**2 + f*k**3 + u and give r. -7 Rearrange -3*c + 5*c + 62*c to o*c + t and give o. 64 Express -8*t**2 + 3*t**2 - 4*t**2 + 2*t**2 + t**3 - 2 in the form y + c*t + o*t**2 + i*t**3 and give i. 1 Rearrange -4 + 4 - x + 127*x - 11*x + 68*x + (3*x - 2*x - 3*x)*(-4 + ...
{ "pile_set_name": "DM Mathematics" }
(-12325)/(-374))/29)/((-25)/(-10)). 5/11 What is the value of ((-396)/30)/(((-36)/675)/(34/(-85)))? -99 72/6*((-9)/30)/(23/115) -18 What is the value of ((-2870)/34440)/(1/(-972))? 81 3*4*9/(-14*12/(-112)) 72 What is the value of (((-5202)/(-119))/(-17))/(3*(114/336)/(-19))? 48 Calculate (18*1/(-189))/((-3)/9). 2/7 Wha...
{ "pile_set_name": "DM Mathematics" }