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= 11*l - r. What is the units digit of l? 5 Suppose 3*y - 82 = -5*t + 21, 5*y = -2*t + 45. Suppose 0 = -2*n - 3*h + h - 26, 2*n = 4*h - t. What is the units digit of (-77)/(-5) - n/(-30)? 5 What is the units digit of 4030/6 + 23/((-414)/12)? 1 Let u(k) = k**3 - 50*k**2 + 70*k - 110. What is the hundreds digit of u(49)...
{ "pile_set_name": "DM Mathematics" }
g**2 + 334*g + 469. Let w(s) = 21*s**2 - 333*s - 470. Let r(c) = 2*u(c) + 3*w(c). What is the derivative of r(p) wrt p? -2*p - 331 What is the third derivative of -23*n**2 - 145*n**4 + 2389*n**6 + 3*n**4 + 120*n**2 + 142*n**4 wrt n? 286680*n**3 What is the second derivative of 149 + 1071*r**4 - 97 - 3335*r**4 - 5*r wrt...
{ "pile_set_name": "DM Mathematics" }
t s = 1 + 0. Put n, g, s in decreasing order. g, s, n Let x = -8746/37315 + -2/2195. Sort x, 0, -1/4 in decreasing order. 0, x, -1/4 Let y = -5 - -3. Let v be ((y - -3) + -2)*1. Let s be (-2)/((-1)/((-10)/4)). Put 3, v, s in ascending order. s, v, 3 Suppose 0 = i - 10 + 12. Let t be 9/12 + (-2)/(-8). Sort i, t, 6. i, t...
{ "pile_set_name": "DM Mathematics" }
+ 4. Let q be j(-6). Let n be (-12)/(-20) + 694/q. What is the highest common divisor of 28 and n? 14 Suppose 5*t + 50 = 10*t. What is the highest common factor of t and 30? 10 Let r be (-30)/(-12)*(-16)/(-10)*7. What is the greatest common factor of r and 2? 2 Suppose 2*p + 425 = -3*p. Let r be 0 - (1 + (p - -3)). Wh...
{ "pile_set_name": "DM Mathematics" }
(c) -1 (d) 6/65 a Which is the second smallest value? (a) -6053 (b) -0.5 (c) 17/4 b Which is the fifth smallest value? (a) -3/8 (b) 1/4 (c) -4 (d) 39 (e) 4 (f) -3 e What is the fourth smallest value in -25, -23/5, 0.3, 5, -39, 1? 0.3 What is the smallest value in 0, -314, 1.5, -5? -314 Which is the fourth bi...
{ "pile_set_name": "DM Mathematics" }
rk out -5946210 - 9.2503. -5946219.2503 Subtract -4.513 from -3774731086.7. -3774731082.187 Put together -529222 and -548.35. -529770.35 What is -0.0264 less than 2280.3897948? 2280.4161948 What is -7010022.383 minus -15? -7010007.383 Add 514624 and -0.083234. 514623.916766 What is 22493 - 29429261? -29406768 What is t...
{ "pile_set_name": "DM Mathematics" }
3*d + 105. Let v(s) = 49*s**2 + 37*s - 1295. Let q(j) = -74*r(j) - 6*v(j). Let u(l) = 4131*l. Determine u(q(c)). 8262*c**2 Let y(l) = -4*l - 38. Let c(f) = -5*f - 39*f + 27*f + 18*f. Determine c(y(h)). -4*h - 38 Let d(g) be the first derivative of -23*g**2/2 + 633. Let v(t) = t. Let z(x) = 7 + 4*x - 7. Let s(m) = 22*v(...
{ "pile_set_name": "DM Mathematics" }
What is -46 (base 14) in base 12? -52 5 (base 14) to base 5 10 -1 (base 4) to base 7 -1 What is 60 (base 12) in base 13? 57 Convert 4 (base 12) to base 10. 4 What is -110 (base 3) in base 8? -14 What is -20100 (base 3) in base 9? -210 Convert -3 (base 11) to base 9. -3 Convert -16 (base 11) to base 14. -13 0 (base 14) ...
{ "pile_set_name": "DM Mathematics" }
is -28876 + -2? -28878 In base 13, what is -14 - -3c2? 3ab In base 5, what is 0 + 134231342? 134231342 In base 16, what is -2c0 - -3f? -281 In base 11, what is -3423 - -11? -3412 In base 12, what is -7119 + 1? -7118 In base 4, what is -10 + -2221302132? -2221302202 In base 15, what is -7 - -40d? 406 In base 7, what is...
{ "pile_set_name": "DM Mathematics" }
65? True Is 10584 a multiple of 63? True Is 16 a factor of 260204? False Does 220 divide 529449? False Is 358 a factor of 1189448? False Does 233 divide 1018272? False Is 17 a factor of 127670? True Does 22 divide 678260? True Is 1298892 a multiple of 49? True Is 141942 a multiple of 382? False Is 228 a factor of 14307...
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from ugkkkuuu. 3/7 Calculate prob of picking 1 g, 1 a, and 1 y when three letters picked without replacement from aagayagyyy. 4/15 Four letters picked without replacement from {u: 7, g: 3}. Give prob of picking 3 g and 1 u. 1/30 Two letters picked without replacement from iiqiiqtqqiiiitii. ...
{ "pile_set_name": "DM Mathematics" }
436206, 21436222, 21436254, 21436308, 21436390, 21436506, 21436662? 21436864 What is next in -1032, -1024, -1016? -1008 What is the next term in -434453, -434454, -434455, -434456? -434457 What is next in -1317, -2650, -4009, -5406, -6853, -8362, -9945, -11614? -13381 What is next in 160812, 643241, 1447290, 2572959, 4...
{ "pile_set_name": "DM Mathematics" }
0.04486, 3/14, 4? 3/14 What is the nearest to 1 in 1/2, 15364/21, 2, -3? 1/2 What is the closest to -70 in 30, 2, 3/5, 3/14, -4? -4 Which is the nearest to 15934/7? (a) 487 (b) 4/3 (c) 4 (d) -0.1 (e) -1 a What is the closest to 60 in -8, 1085.32, 0, -5? 0 What is the closest to -1277 in 106, 0.04, 0.16? 0.04 Which...
{ "pile_set_name": "DM Mathematics" }
n -1, 1/5, -0.1, 2/167? -1 Which is the closest to -1.2? (a) -0.4 (b) -5 (c) 84 a What is the closest to -1/4 in -0.1, 3/10, -4? -0.1 Which is the closest to -2/13? (a) -1 (b) 5 (c) -18 a Which is the nearest to 2/3? (a) 8.1 (b) -7 (c) -3/8 (d) 0.2 d What is the closest to -1/2 in 2, 1/3, -2, -13/5? 1/3 Which...
{ "pile_set_name": "DM Mathematics" }
r of n and i. 6 Let p = 4000 + -1728. Suppose -p - 31 = -7*y. What is the highest common divisor of 188 and y? 47 Suppose -4*u + 3 = -5*i, 3*i = -3*u - 1001 + 1037. Calculate the greatest common divisor of 8585 and i. 5 Suppose -c - 5*f = 0, -5*c + 7*f - 12*f = 0. Suppose -5*k + 106 = 3*o, c = -5*o - 3*k + 2*k + 206. W...
{ "pile_set_name": "DM Mathematics" }
- 1. Give w(m). -1 Suppose -2*q - 3*z = 2, 0 = 2*q - z - 1 - 5. Let t(g) = 1 + 2*g**q - g**2 + g + 3. Calculate t(-3). 10 Let w = 13 - 18. Let m(t) be the second derivative of -t**2 + 1/20*t**5 + 5/6*t**3 + 7*t + 0 + 1/2*t**4. Give m(w). -2 Let j(a) = 11*a**2 + 1. Let c be j(2). Let l be (-54)/c*(-10)/(-3). Let p be (-...
{ "pile_set_name": "DM Mathematics" }
x - 7*x for x. 0 Solve 0 = 5*r - 2*r - r for r. 0 Solve -14 - 1 = 3*b for b. -5 Solve -17*g = 9 - 94 for g. 5 Solve -41*f + 42*f + 3 = 0 for f. -3 Solve 249*f + 72 = 258*f for f. 8 Solve 0 = -7*g + 2*g + 5 for g. 1 Solve -8*a = -77*a + 276 for a. 4 Solve -65 = -17*g - 167 for g. -6 Solve -38 - 4 = 21*r for r. -2 Solve ...
{ "pile_set_name": "DM Mathematics" }
Sort 3, 18, 9, -7689, 2, 5 in ascending order. -7689, 2, 3, 5, 9, 18 Sort 0.4, -4, 3, -4/1917, -2, -0.35 in ascending order. -4, -2, -0.35, -4/1917, 0.4, 3 Put -12766, 121, 2, 5, -1, 48 in decreasing order. 121, 48, 5, 2, -1, -12766 Sort 607, 1899, -136 in increasing order. -136, 607, 1899 Put -1413/2, 5, -5317, 0.3, ...
{ "pile_set_name": "DM Mathematics" }
18*j + 88 - 160 for j. -4 Solve -91*d - 32 = -83*d for d. -4 Solve 0 = 4*v - 6 + 26 for v. -5 Solve 237*t = 276*t - 234 for t. 6 Solve 2*t - 1 = -7 for t. -3 Solve 41*x = 49*x + 56 for x. -7 Solve -o + 28 = -8*o for o. -4 Solve 5*j = -2*j for j. 0 Solve 4*o - 7 = -15 for o. -2 Solve -5*g + 3*g = -10 for g. 5 Solve -179...
{ "pile_set_name": "DM Mathematics" }
igit of i? 8 Suppose 0 = -10*k + 9*k + 3. What is the units digit of k? 3 Suppose -10*h - 1453 = -5*o - 9*h, 3*o = -3*h + 861. What is the tens digit of o? 9 Let p(c) = -2*c**2 + 12*c - 9. Let l be p(8). Let z = -29 - l. What is the tens digit of z? 1 Let g = 22 + -23. Suppose -4*q - 46 = 5*l - 6*q, -5*q + 7 = l. Let n...
{ "pile_set_name": "DM Mathematics" }
62 Which is greater: 1296 or 1297? 1297 Is -220 != -228? True Are 9 and 11 equal? False Which is smaller: -48 or -41? -48 Do -2 and -62.2 have the same value? False Is -50 greater than -49? False Is -69 smaller than -64? True Are -997 and -1002 unequal? True Which is smaller: 13982 or 13983? 13982 Are 189 and 187 equal...
{ "pile_set_name": "DM Mathematics" }
. Give l(3). 6 Let x(f) = -2*f**2 + 2*f + 2. Calculate x(2). -2 Let l(v) = -3*v**2 - 3*v + 3. Calculate l(-3). -15 Let t(l) = -l**2 - 6*l - 2. Calculate t(-3). 7 Let o(r) = -20*r + 3. Give o(2). -37 Let r(o) = -8*o**2 + 47*o + 6. Calculate r(6). 0 Let s(k) = -k + 6. Give s(-10). 16 Let a(f) = -f**3 - 5*f**2 - 3*f - 4. ...
{ "pile_set_name": "DM Mathematics" }
at is ((-4)/6)/(52/12)? -2/13 What is the value of (11/((-121)/(-88)))/(10*1)? 4/5 (15/5)/(-63)*9/(-1) 3/7 Evaluate ((-10)/45*21)/(2/3). -7 What is the value of ((-8)/(-14))/(4/14)? 2 What is 3/(-1)*(833/(-105))/17? 7/5 (-10)/(-15)*45/(-50) -3/5 Evaluate (-14)/63*(-27)/21. 2/7 What is the value of 21/63*(-45)/6*-1? 5/2...
{ "pile_set_name": "DM Mathematics" }
1)**3/7 Let z be -1 + -1*(-3 - 1). Determine p, given that z*p**2 - 5*p**2 - p + 4*p + p**2 = 0. 0, 3 What is m in -5*m - 3*m**3 + 12*m**2 - 5*m**4 + 8*m**3 - 7*m**2 = 0? -1, 0, 1 Let k(j) be the second derivative of 2*j + 1/24*j**4 + 1/60*j**6 - 1/2*j**2 + 0 + 1/4*j**3 - 3/40*j**5. Find g such that k(g) = 0. -1, 1, 2...
{ "pile_set_name": "DM Mathematics" }
) = -s**2 - 7*s + 109. Let a(u) = 2*j(u) - 7*w(u). Let y be a(-16). Solve 6*g = 11*g - y for g. 1 Suppose 0 = 2*p - 3*a + 3, p + 2*a - 10 = -1. Suppose -4 = -2*q - t, q = -3*q + p*t + 28. Solve -10 = -q*s - 2 for s. 2 Suppose 22*d - 346 = 24*d. Let k = d - -180. Solve 2*i - k*i - 25 = 0 for i. -5 Suppose 2*o - m = 15, ...
{ "pile_set_name": "DM Mathematics" }
d 1.95? 0.39 2.2 times -0.2 -0.44 1087 times 0.2 217.4 Work out -5 * -0.0819. 0.4095 Product of 331 and -5. -1655 Product of -0.029 and 53.8. -1.5602 Product of -0.05 and -155. 7.75 What is 375 times -0.04? -15 What is the product of -14 and -0.8? 11.2 Product of 81 and -0.3. -24.3 Calculate -0.4*-1419. 567.6 Work out ...
{ "pile_set_name": "DM Mathematics" }
True Suppose -3*h + 3*h - 5*h = 0. Let j = 238 - 14993/63. Is j < h? False Let o = -1.3702 + 612.3702. Which is smaller: o or 5? 5 Let g = 833/5925 - 9/79. Let x = g - 32/75. Let i = 5.89 - -0.11. Which is smaller: i or x? x Let v = -31262 - -59873/2. Is -1327 at least as big as v? False Let t = -6.16 - -0.16. Let p = ...
{ "pile_set_name": "DM Mathematics" }
alculate the greatest common divisor of 60 and g. 15 Suppose 0 = -0*u + u - 30. Let x(l) = l**3 + 12*l**2 + 15*l + 14. Let r be x(-10). Let s = r - 19. What is the greatest common factor of u and s? 15 Suppose 40 = 4*r - 4*j, -4*r - 4*j - 12 = -36. What is the greatest common factor of 72 and r? 8 Let r(a) = 5*a**2 - 2...
{ "pile_set_name": "DM Mathematics" }
hest common divisor of 1380 and 2980. 20 Calculate the highest common divisor of 1937646 and 12. 6 Calculate the highest common divisor of 70 and 2464. 14 What is the greatest common factor of 1185 and 52995? 15 What is the greatest common factor of 1053 and 7938? 81 Calculate the highest common factor of 13376 and 415...
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from ttattttat. What is prob of picking 2 t and 1 a? 1/2 Two letters picked without replacement from {a: 5, v: 1, h: 2, y: 1, r: 1}. Give prob of picking 2 h. 1/45 Two letters picked without replacement from {p: 1, k: 4, d: 1, w: 2}. Give prob of picking 1 w and 1 d. 1/14 Calculate prob o...
{ "pile_set_name": "DM Mathematics" }
s (-m - 5 + 0 + 1)*(5041*m - 1 - 3 - 4980*m) as l*m**2 + o*m + t and give l. -61 Express -516*p - 519*p + 145 - 8*p**3 + 1036*p - 3*p**3 as z*p + s + t*p**2 + a*p**3 and give a. -11 Express (-49 + 25 - 73)*(5*c + 4145 - 4145) as y*c + b and give y. -485 Rearrange -1 + 2400371*k + 1 - 2392717*k to i + l*k and give l. 76...
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = 22*k - 693 - 11. What is the smallest common multiple of k and 16? 32 Suppose -11*l + 10*l + 3*t = 0, -4*l - 5*t + 85 = 0. What is the least common multiple of 18 and l? 90 Let q = -7/339 - -9971/6780. Let v = -90/511 - -38441/12264. Find the common denominator of q and v. 120 Suppose 0 = 5*m + 2*o + 85 + 9...
{ "pile_set_name": "DM Mathematics" }
q + 2*q - 2*q + (2*q + 3 - 3)*(-4 + 4 + 1) + 4*q + q - 4*q + 5*q - 4*q + 0*q + (18*q - 25*q + 39*q)*(2 - 2 + 1)). -74*q**4 Expand (-5 + 4*i + 5 + (-3 + 4 + 0)*(4*i + 3*i - 5*i) + 0*i + 0*i - i + i + 2*i - 2*i + (0 + 2 + 0)*(3*i + 4*i - 5*i))*(-7 + 4 - 5). -80*i Expand 3*x + 2*x**3 - x**4 + x - 5*x + (x - 2*x + 3*x)*(2*...
{ "pile_set_name": "DM Mathematics" }
-0.03315 What is the nearest to -2 in 3144, -12, 0.1? 0.1 What is the nearest to 2/5 in 7, 3/8, -0.4, 2.7? 3/8 What is the closest to -53 in 3/7, -5, 0, -32? -32 What is the nearest to -0.51 in 2/3, 3, -12, -3, -1? -1 What is the closest to 233 in -11, 5, 2, 3? 5 Which is the nearest to -0.47? (a) 79 (b) 1 (c) -2 b...
{ "pile_set_name": "DM Mathematics" }
-2123*h + 2123*h + 9*h**2. 9*h**2 Collect the terms in -22*g**2 + 76*g**2 - 31*g**2 + 43*g**2. 66*g**2 Collect the terms in -43931*r**3 + 21974*r**3 + 21964*r**3. 7*r**3 Collect the terms in -45*w - 40*w + 1 + 116*w + 1 - 82*w. -51*w + 2 Collect the terms in 58200845 + 2*l - 58200845 - 8*l. -6*l Collect the terms in 0*...
{ "pile_set_name": "DM Mathematics" }
et u(t) = 3*t - 1. What is u(a)? -7 Let l(t) = -11041 + 2*t**3 - t**3 + 11010. What is l(0)? -31 Let x(k) = 2 - 3 - k**2 + 2 + 7 - k - 7. Calculate x(1). -1 Let w(b) be the second derivative of b**3/3 + b**2/2 + 261*b. Give w(6). 13 Let x(p) = -p**3 + p**2 + 2*p + 1. Let s be -3 - (6 + -27) - 2. Suppose 3*w - 21 = 57. ...
{ "pile_set_name": "DM Mathematics" }
(j) = -6*j**2 + 1902*j - 8. Determine -8*o(b) + 3*x(b). -2*b**2 + 634*b Let x(d) be the first derivative of 55*d**2/2 - 45*d - 871. Let g(r) = -3 - 1 - 5*r + 10*r. Determine 45*g(j) - 4*x(j). 5*j Let i(s) = -4*s**3 - 3*s**2 + 2. Let d = 129 - 123. Let x(y) = 72*y - 9*y**2 - 12*y - 8*y**2 + 11 - 60*y - 23*y**3. Calculat...
{ "pile_set_name": "DM Mathematics" }
ulate 3500 + 0.5. 3500.5 Work out -4 + -18897. -18901 What is -22 - 46.7? -68.7 What is -1 less than 929? 930 -11272+20 -11252 Subtract 0.4 from -0.02021. -0.42021 Calculate -56 - 0.366. -56.366 Add together 11549 and 5. 11554 What is -2.356 - 0.03? -2.386 0.474 - 0.047 0.427 857+0.17 857.17 What is -1110 minus 0.02? -...
{ "pile_set_name": "DM Mathematics" }
be b(0). Solve 0 = n - 0*n - m for n. 5 Let w(y) be the second derivative of y**5/120 - 7*y**4/24 - y**3/2 - 2*y. Let t(c) be the second derivative of w(c). Let h be t(8). Solve -2*b = -1 - h for b. 1 Suppose -3*l = 9, 2*z + z - 4*l = 24. Suppose 4*a + 5*b - 40 = 0, -2*a - 3*b + 20 = b. Suppose 3*v - a = v. Solve -z*q...
{ "pile_set_name": "DM Mathematics" }
for o. 0 Solve -2*x - 28 = -4*z, -4*x + 43 - 134 = -15*z for x. -4 Solve 4*w + 3*x - 139 = 0, -1712*x = 4*w - 1710*x - 90 for w. -2 Solve -18 = 4*r + 5*x, 2*x - 26189 = -2*r - 26195 for r. 3 Solve -38*x + 154 = -12*a + 10*a, 4*a - x - 6*x = 5*x - 11*x - 8 for a. -1 Solve z + 632660 = 2*f + 632649, -3*f - 4*z + 11 = 0 ...
{ "pile_set_name": "DM Mathematics" }
-2*j. What is the first derivative of c + c + j - x wrt c? 2 Let g(u) be the first derivative of -9*u**7/7 - u**4/4 - u**3/3 - 380*u**2 + 807. What is the third derivative of g(j) wrt j? -1080*j**3 - 6 Let q be (-2)/(-3 + 436/148). Suppose 8*t - 3*t + 44 = m, 0 = 3*m + 4*t - q. Find the second derivative of 25*o**3 - 2...
{ "pile_set_name": "DM Mathematics" }
et f(b) = 3*b**2 + 94*b + 476. Calculate f(-5). 81 Let h(c) = -c**2 - 441*c - 23179. What is h(-61)? 1 Let m(b) = -b**3 + 11*b**2 - 19*b + 76. Give m(9). 67 Let v(i) = -2*i**3 - 57*i**2 - 43*i + 624. Give v(-27). -402 Let c(s) = 22*s + 705. What is c(-33)? -21 Let r(s) = -3*s**2 + 227*s + 2003. Determine r(-8). -5 Let ...
{ "pile_set_name": "DM Mathematics" }
ative of 17*c**3*s + 61*c**3 - 2*c*s**2 + s**2 + 2 wrt s? 17*c**3 - 4*c*s + 2*s Find the second derivative of 67*d**4*w - 16*d**2*w**3 + d*w**3 - 433*d wrt d. 804*d**2*w - 32*w**3 Find the third derivative of 8605*f*z**4 - f*z**3 - 3*f*z**2 + 175*f - 2*z**4 + 2*z wrt z. 206520*f*z - 6*f - 48*z What is the third derivat...
{ "pile_set_name": "DM Mathematics" }
st the prime factors of 245/j*8/2. 7 Suppose 0 = -0*v - 2*v. Suppose v = -6*l + 251 + 175. Suppose 0 = -5*n - 0*b + 3*b + l, 0 = 5*b + 10. What are the prime factors of n? 13 Let l(a) = 4 + 3*a - a**3 - 2*a**2 + 9*a**2 + 1. Suppose -49*k - 20 = -314. List the prime factors of l(k). 59 Suppose 110*c - 179127 = 144933. W...
{ "pile_set_name": "DM Mathematics" }
, 16*w - 15*w - 4*v - 29 = 0. Calculate the remainder when o is divided by w. 2 Suppose -20*y + 76 = -39*y. Let s(x) = 2*x**2 - 10*x - 60. Calculate the remainder when s(y) is divided by 4. 0 Calculate the remainder when ((-2)/3 - (1 - 372)) + (-118)/(-177) is divided by 22. 19 Let i(w) = 8*w**2 + 156*w - 584. What is ...
{ "pile_set_name": "DM Mathematics" }
**3 - 7. What is the least common multiple of n(-5) and g? 20 Let n = 176/41 + 1923/574. What is the common denominator of (89/5)/(7/5 + -5) and n? 126 Let k = -22 - -14. Calculate the lowest common multiple of 3 + 0 + -3 + 1 and -2 + (-1 - (-1 + k)). 6 Suppose 3*q - 4*q = -1, 0 = -5*a + 4*q + 106. Calculate the least ...
{ "pile_set_name": "DM Mathematics" }
180*z**5 Expand 2*f**3 + 2*f**3 - 2*f**3 + (-2*f**2 + f - f)*(6 - 6 - 10*f). 22*f**3 Expand (70*m + 4*m + 15*m)*(2*m**4 - 3*m**4 - 2*m**3 + 2*m**2 + 0*m**4). -89*m**5 - 178*m**4 + 178*m**3 Expand (-7 - 26 + 2559*r + 33)*(0*r - 2*r + r). -2559*r**2 Expand -4 - 14*i + 4 - 3*i + 4*i + 3*i + (5*i - i - 3*i)*(2 - 7 + 3). -1...
{ "pile_set_name": "DM Mathematics" }
2*k + 238 = 0. Calculate the remainder when k is divided by 9. 7 Let c = -128 + 193. Let m(t) = t**2 + 14*t + 27. Let l be m(-13). Calculate the remainder when c is divided by l - 0 - (-4 + (-4 - -5)). 14 Let m(l) = -l**3 - 5*l**2 - 5*l + 3. Let w be m(-5). Calculate the remainder when 143 is divided by w/154 - 634/(-2...
{ "pile_set_name": "DM Mathematics" }
be p(-8). Let w = 12 + -10. Let o be w/8 - (-6)/d. Solve o*z = z for z. 0 Suppose 8*y = 6*y + 8. Let c(j) = 2*j + 18. Let v be c(-9). Solve 2*m - y*m = v for m. 0 Let y = 38 - 22. Solve -4*l + y = 12 for l. 1 Let z(o) be the third derivative of -o**5/30 - 5*o**4/6 + o**3/3 - 5*o**2. Let c be z(-10). Solve 0*b = -c*b -...
{ "pile_set_name": "DM Mathematics" }
1 + (0 - 1)) - (-124 + 114)? -37 What is the value of -6 + (-235 - -221 - (3 + -36)) + 0 + -68? -55 What is the value of 0 + -48 + 84 - (33 - -7)? -4 Evaluate 22 - (34 + -56) - 1 - (7 + -6). 42 What is the value of -95 + 46 + (11 - 22)? -60 Evaluate -5 + (-64 + 85 + (2 - -119) - (-1 - 9)). 147 What is (-57 - (-17 - (-1...
{ "pile_set_name": "DM Mathematics" }
71? -4*i**2 + 8744*i - 15941 What is the y'th term of 5047154, 10094246, 15141338, 20188430, 25235522, 30282614? 5047092*y + 62 What is the i'th term of -11035, 14199, 82691, 216071, 435969, 764015? 3605*i**3 - i**2 + 2*i - 14641 What is the t'th term of -7756, -8319, -8882, -9445, -10008? -563*t - 7193 What is the o't...
{ "pile_set_name": "DM Mathematics" }
ime factors of 27832? 2, 7, 71 What are the prime factors of 2858? 2, 1429 List the prime factors of 239. 239 What are the prime factors of 196581? 3, 7, 11, 23, 37 List the prime factors of 3684. 2, 3, 307 List the prime factors of 14201. 11, 1291 List the prime factors of 3078. 2, 3, 19 What are the prime factors of ...
{ "pile_set_name": "DM Mathematics" }
z(n) = -7*n**2 + 40*n - 10. Let y(g) = -5*x(g) + 2*z(g). Determine y(k(m)). 73984*m**2 - 2720*m + 25 Let y(w) = 8*w**2. Let p(c) be the first derivative of 5*c**2 - 388. What is p(y(r))? 80*r**2 Let b(p) = 3*p**2. Let f = 865/3 - 287. Let o(q) be the first derivative of 0*q + 4 + f*q**3 + 0*q**2. Give o(b(j)). 36*j**4 ...
{ "pile_set_name": "DM Mathematics" }
2*t**4 - 4*t + x*t wrt t? -24*t**2 Find the second derivative of 2*d + 2*d - 4*d - 8*d - 29*d**3 wrt d. -174*d Suppose 4*g - 3 = 5. Let t(p) = -p**3 + 8*p**2 - p + 9. Let o be t(8). What is the derivative of 1 - o + z**4 - g wrt z? 4*z**3 Let z = -2 + 4. What is the third derivative of q**2 + q**4 - 6*q**z + 0*q**2 wr...
{ "pile_set_name": "DM Mathematics" }
6, 4669? 215*b**2 - 2*b + 1237 What is the i'th term of -140, -754, -1902, -3686, -6208, -9570, -13874? -17*i**3 - 165*i**2 + 42 What is the i'th term of -102, -94, -84, -72, -58, -42? i**2 + 5*i - 108 What is the x'th term of -1396527, -1396526, -1396525, -1396524, -1396523, -1396522? x - 1396528 What is the n'th term...
{ "pile_set_name": "DM Mathematics" }
-5*q, 2*r - 6*r = 2*q + 2. Suppose 21*u + 36 = 24*u. Suppose l = -r*l - u. Sort -0.1, 5, l. l, -0.1, 5 Suppose 2*w - 22 = -32. Sort w, 2, 1/4, 1/3 in descending order. 2, 1/3, 1/4, w Let k be ((-3)/(-4))/((-1)/(-16)). Suppose -4*w = -0 + k. Let o be w/(-5)*5/(-15). Sort 3, o, 2 in descending order. 3, 2, o Let s = -28...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {j: 1, s: 1, w: 4, i: 6, t: 1, b: 3}. What is prob of picking 1 b, 1 t, 1 w, and 1 i? 18/455 Two letters picked without replacement from vdfddvfgfdfffffffv. What is prob of picking 2 f? 5/17 What is prob of picking 3 q when three letters picked without replacement from {q: 1, e: 19}? 0 ...
{ "pile_set_name": "DM Mathematics" }
+ 6. Suppose k - 2 = -z, k - j*z + 6 = 4*k. Let v(l) = 3*l - 2. Let r be v(k). Give w(r). -4 Let o(j) = -j**3 + j**2 + 11. Let u be -3*(-1 - (-7)/3). Let z be u/5*1*-5. Suppose 0 = 3*h - z*h. Calculate o(h). 11 Let c(t) = -2 - t**2 + t + 2*t + t + 1. Give c(5). -6 Let m = 51 - 152/3. Let k(a) be the second derivative ...
{ "pile_set_name": "DM Mathematics" }
for v. -49 Solve 17*t + 2139*g - 2140*g = -72, -10*t - 24 = -2*g for t. -5 Solve 2*c - 3*c + 22411 - 22431 = 2*r - 5*r, 4*c - 5*r = -17 for c. 7 Solve 3*r = -3*a + 66, -4*r + 144*a + 82 = 146*a for r. 19 Solve -29*k + 0*y - 3*y = -33*k - 0*y - 28, 19*k = -y + 50 for k. 2 Solve -3643*w + 3641*w = 2*r + 16, 0 = -6*w for...
{ "pile_set_name": "DM Mathematics" }
e hundreds digit of y? 1 Suppose -4*z = -3*l + 229 + 303, z = l - 177. What is the units digit of l? 6 Let j(z) = -2*z**3 - 11*z**2 + 3*z - 7. What is the units digit of j(-9)? 3 Let h(g) = -g**3 - 13*g**2 - 22*g + 41. What is the units digit of h(-14)? 5 Let v(d) = d**3 - 22*d**2 - 14*d - 15. What is the tens digit of...
{ "pile_set_name": "DM Mathematics" }
0 Let m(u) be the first derivative of -u**6/120 - u**5/15 - 5*u**4/24 - u**3/3 - u**2 - 2. Let o(p) be the second derivative of m(p). Factor o(h). -(h + 1)**2*(h + 2) Let o(u) be the third derivative of u**5/270 - u**4/27 + 4*u**3/27 - u**2 - 2*u. Factor o(k). 2*(k - 2)**2/9 Let p(d) be the first derivative of -15*d**4...
{ "pile_set_name": "DM Mathematics" }
**2 - 2*w. Calculate z(1). -3 Let u(i) = -3*i**3 + 6*i**2 + 5*i - 2. Calculate u(5). -202 Let b(z) = 16*z - 605. Determine b(38). 3 Let n(c) = -c**3 - 2*c**2 + 11*c + 9. Determine n(-4). -3 Let a(z) = -2*z**2 + 7*z - 3. Give a(2). 3 Let f(s) = 3*s**2 - 20*s + 26. Give f(6). 14 Let b(a) = 2*a**3 - 2*a**2 - 3*a + 20. Det...
{ "pile_set_name": "DM Mathematics" }
-4? -2/9 Which is the nearest to 0.1? (a) 181 (b) 2 (c) 3 b Which is the nearest to -0.11? (a) 2 (b) 421 (c) 1 (d) 4 c What is the closest to 0.2 in 3/4, 1, 17? 3/4 What is the closest to 9 in -3, 0.4, 5, -0.2? 5 Which is the nearest to -0.143? (a) 5/4 (b) -1 (c) -5 b What is the closest to -0.5 in 0, -4, 6,...
{ "pile_set_name": "DM Mathematics" }
ue Is 5911 a prime number? False Is 902927 prime? False Is 18493 prime? True Is 13891 a composite number? True Is 230105 prime? False Is 672743 a prime number? True Is 46261 a prime number? True Is 4507 prime? True Is 46459 a prime number? False Is 140255 prime? False Is 681 composite? True Is 79295 composite? True Is ...
{ "pile_set_name": "DM Mathematics" }
3) + -1 + 1)**2*-6. -2208 - 420*sqrt(7) Simplify (sqrt(700) + (sqrt(700) - (-2 + sqrt(700)))*4 + -2 + (sqrt(56) - sqrt(224)/sqrt(4))/(sqrt(32)*2) + 2)**2. 160*sqrt(7) + 764 Simplify ((sqrt(216)/(sqrt(60)/sqrt(5)))/sqrt(6))**2*4 + ((-5*(sqrt(243) + 1 - sqrt(243)) + sqrt(243))*-3)**2. -810*sqrt(3) + 2424 Simplify (5*(sqr...
{ "pile_set_name": "DM Mathematics" }
y: 3}? 1/255 Calculate prob of picking 1 u, 1 w, and 1 h when three letters picked without replacement from {i: 2, h: 7, n: 3, u: 3, w: 2, j: 1}. 7/136 What is prob of picking 2 d and 1 m when three letters picked without replacement from {p: 3, c: 3, m: 3, d: 2, i: 3}? 3/364 Three letters picked without replacement f...
{ "pile_set_name": "DM Mathematics" }
. Determine p(u(q)). 10*q Let q(c) = 2503*c**2. Let p(u) = 6*u. Calculate q(p(j)). 90108*j**2 Let l(f) = 7*f**2 + 6. Let n(x) = -18*x. Calculate l(n(g)). 2268*g**2 + 6 Let q(i) = 2*i. Let d(p) = 5*p**2 - 82*p. Give d(q(s)). 20*s**2 - 164*s Let y(m) = 5*m**2 + 4*m. Let v(r) = -r**2 - r. Let s(f) = -4*v(f) - y(f). Let t(...
{ "pile_set_name": "DM Mathematics" }
pose -2*h + 4*a + 6 = 2*a, -2*a + 4 = 0. Suppose -247 = -5*j + 4*n, h*j + 98 = -4*n + 361. Let d = 162 - j. Is d composite? True Let y(s) = 30*s - 1. Is y(4) composite? True Suppose -3*d + 145 = -110. Is d a composite number? True Is (-12)/(-8) - 3308/(-8) composite? True Suppose 0 = 4*m + 2*z + 3*z + 17, 3*z + 11 = -2...
{ "pile_set_name": "DM Mathematics" }
, k. k, -4, -3 Let i = 181 + -178. Sort i, -1, 6 in decreasing order. 6, i, -1 Suppose -4*v + 2*v = 0. Let l = v - 2. Suppose 0 = 10*o - 12*o + 4. Sort 0, o, l. l, 0, o Let h be (10 + -6)*1/(-1). Suppose -2*u = 3*u - 10. Put 1, u, h in increasing order. h, 1, u Let n be (-2)/5 - 8/5. Let d = -58 + 62. Put 2, n, d in as...
{ "pile_set_name": "DM Mathematics" }
+ 3/4*g**2 = 0. Calculate g. -44 Let x(v) = -2*v**5 - 12*v**4 - 12*v**3 + 56*v**2 - v - 59. Let g(l) = l**5 + 2*l**2 + 2*l + 1. Let m(n) = -5*g(n) - x(n). What is z in m(z) = 0? -2, -1, 1, 3 Let w be -2*(-2 - (-3 + 2)). Let -w*q**3 - 3*q**3 + 6*q**3 + 2*q**3 + 3*q**2 = 0. What is q? -1, 0 Let k(s) be the third derivat...
{ "pile_set_name": "DM Mathematics" }
/54*v**4 - 7/27*v**3 + 8/9*v**2 + 71*v + 0. Factor w(t). -2*(t - 1)*(t + 8)/9 Let k(h) be the second derivative of -32/7*h**2 + 60*h + 1/42*h**4 + 0 + 2/3*h**3. Factor k(u). 2*(u - 2)*(u + 16)/7 Let m(c) be the first derivative of -c**4/2 - 46*c**3/3 - 3*c**2 + 70*c + 29. Let b(u) = u**3 + 31*u**2 + 4*u - 46. Let y(a) ...
{ "pile_set_name": "DM Mathematics" }
*s - 143 - 13*s as k*s + t and give k. -6 Express (-19*g + 29*g - 9*g)*(2 + 0 - 3)*(-18 - 5 + 10)*(8 - 1 - 4) in the form t + u*g and give u. 39 Express 152 - 3*h**2 - 33 - 83 + h**2 + 2*h + h**3 as l*h + s + q*h**3 + m*h**2 and give s. 36 Express -j**2 + j**2 - 4*j**2 + (0*j + 2*j + 0*j)*(388 + 395 - 810)*(-23 + 30 + ...
{ "pile_set_name": "DM Mathematics" }
ctor of 7683939 and 7533? 279 What is the greatest common factor of 23656752 and 40? 8 Calculate the greatest common factor of 1257333 and 462. 231 Calculate the highest common divisor of 127696483 and 667. 667 What is the highest common factor of 67318 and 46366? 194 Calculate the highest common factor of 5762400 and ...
{ "pile_set_name": "DM Mathematics" }
9, -162976? 128*m**2 + m - 166181 What is the c'th term of -1300, -4133, -8426, -14173, -21368, -30005, -40078, -51581? c**3 - 736*c**2 - 632*c + 67 What is the n'th term of -3162743, -3162717, -3162691, -3162665, -3162639, -3162613? 26*n - 3162769 What is the p'th term of 26219, 25995, 25581, 24977, 24183, 23199, 2202...
{ "pile_set_name": "DM Mathematics" }
14) + (75 + 1 - 7). 53 Calculate (-64 - -13) + (-4 - 1) - (-1 - -7 - 15). -47 Evaluate 149 + -130 + 131 + (-6 - 9 - 0). 135 What is the value of (-1 - -39) + -18 + (1 - -2) + -88 + 96? 31 What is the value of -46 + (50 + 16 - -27)? 47 What is the value of 165 + 126 + (-455 - -23)? -141 Calculate 8 - ((-13 - -79) + 5 + ...
{ "pile_set_name": "DM Mathematics" }
97 is divided by 25? 22 Calculate the remainder when 2648 is divided by 34. 30 Calculate the remainder when 198 is divided by 10. 8 What is the remainder when 29 is divided by 18? 11 What is the remainder when 1214 is divided by 122? 116 What is the remainder when 1224 is divided by 7? 6 What is the remainder when 455...
{ "pile_set_name": "DM Mathematics" }
+ y - 26 + 23 for i. 4 Let p be (-28)/(2/(-6) + -1). Let g be (91/p + -4)*0. Solve -x - 3*d + 14 = 0, -d - d + 6 = g for x. 5 Let y = -92 + 97. Suppose -18*k + 20*k = 6. Solve 0 = -3*n + y*h - 20, 6*n - k*h + 12 = 2*n for n. 0 Suppose -667 = -85*p - 73 + 171. Solve 0 = 4*g - 2*r - p + 21, -6 = -2*g + 4*r for g. -5 Let...
{ "pile_set_name": "DM Mathematics" }
is -4342 (base 5) in base 14? -309 What is -1110323 (base 5) in base 7? -110513 3a3a (base 13) to base 5 231310 -b (base 14) to base 5 -21 1100325 (base 6) to base 11 37a98 What is 34668 (base 9) in base 6? 255055 -3c6 (base 13) to base 2 -1010011101 What is 573 (base 15) in base 11? a21 Convert 146 (base 15) to base 5...
{ "pile_set_name": "DM Mathematics" }
6. Determine 11*f(r) + k(r). -4*r**3 - 7*r**2 + 35 Let f(t) = 79 + 73 + 75 + 2*t**2 + 11*t - 228 + 0*t**2. Let m(n) = -3*n**2 - 12*n + 1. Calculate -6*f(o) - 5*m(o). 3*o**2 - 6*o + 1 Suppose -4*l - 5*j = -3, 113 = -5*j + 128. Let b(k) = 11*k**2 - 7*k + 5. Let g(n) = 5*n**2 - 3*n + 2. What is l*b(f) + 7*g(f)? 2*f**2 - 1...
{ "pile_set_name": "DM Mathematics" }
*h = 0. -5, 0, 26532 Solve -3*o**3 + 4605111*o**2 + 36841032*o + 73682160 = 0 for o. -4, 1535045 Suppose -5*p**2 + 603060*p - 12059200 = 0. What is p? 20, 120592 Solve -b**2/2 + 46305*b/2 + 3484125 = 0. -150, 46455 Suppose 3*l**2 + 6924537*l - 110793360 = 0. What is l? -2308195, 16 Suppose 4*i**4 - 28761684*i**3 + 5170...
{ "pile_set_name": "DM Mathematics" }
*y**4 + 356292232*y**3 + 1068876720*y**2 + 1068876728*y + 356292244. -4*(y - 89073061)*(y + 1)**3 Let -4*a**5/5 - 2564*a**4/5 - 137104*a**3/5 + 144816*a**2/5 + 55872*a = 0. Calculate a. -582, -60, -1, 0, 2 Determine i so that 122*i**2/13 - 22733216*i/13 - 3726760/13 = 0. -10/61, 186338 What is s in 12*s**5 - 2096*s**4 ...
{ "pile_set_name": "DM Mathematics" }
)*(f + 23)/5 Factor -5971968/23 - 864/23*s**2 + 2/23*s**3 + 124416/23*s. 2*(s - 144)**3/23 Let d(v) be the third derivative of v**7/945 - 7*v**6/30 - v**5/90 + 95*v**4/27 - 28*v**3/3 + v**2 + 47*v. Let d(h) = 0. What is h? -2, 1, 126 Factor 1/7*c - 1/7*c**2 + 30/7. -(c - 6)*(c + 5)/7 Let p(r) be the first derivative of...
{ "pile_set_name": "DM Mathematics" }
mber? True Is 683442229 prime? False Is 980096419 prime? True Is 43770218189 prime? False Is 258490217 composite? True Is 73938229 a composite number? False Is 998677283 a composite number? True Is 39603751139 composite? True Is 1072472459 a composite number? False Is 21106343 prime? True Is 23388654527 a prime number?...
{ "pile_set_name": "DM Mathematics" }
-2*i**3 Collect the terms in 572 - 572 - m**3. -m**3 Collect the terms in 7 - 3*l - 7 - 9*l. -12*l Collect the terms in 1 - 2 + 1 - 64*h. -64*h Collect the terms in 8*y**3 + 9*y**3 - 18*y**3. -y**3 Collect the terms in 6256 - a - 5*a**3 - 6256. -5*a**3 - a Collect the terms in -13*b**2 - 4*b**2 + 5*b**2 + 4*b**2 + 5*b*...
{ "pile_set_name": "DM Mathematics" }
Let w be b(5). Suppose 3*j + q - 182 = -0*q, -w*q = 5*j - 315. Is j prime? True Suppose -r = -3*c - 355, -r - 1813 = -6*r - 4*c. Let u = -16 + r. Suppose 0 = 4*t + t - u. Is t prime? False Let k = -77 + 38. Let y be ((-28)/(-35))/((-2)/(-45)). Let g = y - k. Is g a composite number? True Let s = 679 - 224. Suppose j + ...
{ "pile_set_name": "DM Mathematics" }
? True Which is smaller: 5 or 39236? 5 Which is greater: 149 or 80? 149 Which is smaller: 33146 or 33142? 33142 Does -5 = -2664? False Which is smaller: -16/201 or -168? -168 Which is smaller: 53049 or -3.1? -3.1 Which is bigger: -48 or 1263? 1263 Is -47 at most as big as 84? True Is -99124/9 less than -11014? False Is...
{ "pile_set_name": "DM Mathematics" }
021. What is the fourth smallest value in 3/7, b, 0.5, y? 0.5 Let p = 63/5 - 127/10. Suppose -20*r - 75 = 7*r + 60. Which is the second smallest value? (a) r (b) -0.3 (c) p b Let c(h) = -h**2 - 4*h + 9. Let l be -2*2 + 8 + -1. Let p be c(l). Let x be (-6)/(-15)*6/p. What is the biggest value in 2/7, x, -3? 2/7 Let w...
{ "pile_set_name": "DM Mathematics" }
PM and 12:01 AM? 564 What is 123 minutes before 1:12 AM? 11:09 PM What is 599 minutes before 10:20 PM? 12:21 PM How many minutes are there between 10:04 PM and 9:51 AM? 707 What is 204 minutes before 12:13 PM? 8:49 AM What is 691 minutes after 3:44 PM? 3:15 AM What is 492 minutes after 2:40 AM? 10:52 AM How many minute...
{ "pile_set_name": "DM Mathematics" }
- j + 9 = -10 for m. 3 Suppose -3*h = 2*h + 155. Let f = -23 - h. Solve -2*n - u + 11 = 0, u = -2*n + 3*u + f for n. 5 Suppose -n - 16 = -4. Let r be n/4*10/6. Let t be (4/r)/(12/(-30)). Solve 3*z + 3*m + m + 26 = 0, 2 = 4*z - t*m for z. -2 Suppose 27 = 18*o + 9*o. Solve -4*z = 2*f - 6, -o = 3*f - 2*f - 2*z for f. 1 S...
{ "pile_set_name": "DM Mathematics" }
t c be x(m). Solve 4*o + 4*u - 8 = -c*o, -5*o - 22 = -3*u for o. -2 Suppose -3*l = -2*j - 22, -5*l + 4*j - 548 = -588. Solve 4*u + 8 = l*y, -5*u = -y - y + 19 for u. -5 Let a(d) = 27*d - 737. Let g be a(28). Solve 5*b - 2*n - 17 = 4, 3*b + 2*n - g = 0 for b. 5 Let u be 11 - 14 - 1*-3. Let a be u + ((-2)/(-9) - (-29)/(-...
{ "pile_set_name": "DM Mathematics" }
4 = 4*f. Suppose -10 + 0 = -5*h. Calculate the least common multiple of h and f. 4 Let n(j) = -j**3 + 7*j**2 - 3*j + 8. Let k be n(7). Let u(q) = q**3 + 12*q**2 - 12*q + 15. Calculate the smallest common multiple of u(k) and 18. 18 Calculate the smallest common multiple of (16/12)/((-3)/(-36)) and 2. 16 Suppose 48 = 3*...
{ "pile_set_name": "DM Mathematics" }
6, -5*b = x - 13 for b. 2 Solve 5*c = b + 13, -66*b - 39 = -61*b + c for b. -8 Solve 3*h + 11 = 2*f, -2*f = 5*h - 4*f + 17 for h. -3 Solve 29*p + 4*d = 25*p - 16, 3*d = -5*p - 18 for p. -3 Solve 0 = -5*d - w + 1, -w = d + 3*d for d. 1 Solve 7 = 5*a + 2, -2*c + 5*a - 9 = 0 for c. -2 Solve 10 + 0 = 5*l, 3*l = v + 5 for ...
{ "pile_set_name": "DM Mathematics" }
e the prime factors of 136884? 2, 3, 11, 17, 61 List the prime factors of 6138. 2, 3, 11, 31 What are the prime factors of 72349? 71, 1019 What are the prime factors of 2789? 2789 List the prime factors of 1474. 2, 11, 67 List the prime factors of 4938. 2, 3, 823 List the prime factors of 1427. 1427 List the prime fact...
{ "pile_set_name": "DM Mathematics" }
our letters picked without replacement from {h: 1, o: 2, y: 8, b: 1, g: 3, j: 3}. 1/1020 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from eyieieiiip. 1/3 Four letters picked without replacement from {n: 5, g: 1, e: 6, f: 3, w: 2}. Give prob of picking 1 g and 3 e. 1/119 What is pro...
{ "pile_set_name": "DM Mathematics" }
rest 100. -25900 What is 4860047.3 rounded to the nearest 1000000? 5000000 What is 167.4942962 rounded to the nearest 10? 170 Round 146.627211 to two dps. 146.63 What is 0.00070728295 rounded to 6 decimal places? 0.000707 Round 0.00050161456 to 7 dps. 0.0005016 Round -97.216997 to 1 decimal place. -97.2 Round -0.000008...
{ "pile_set_name": "DM Mathematics" }
*f + 21 = -4*o for f. 1 Solve 0 = -4*b - 2*d + 14, 0 = 5*b + d - 24 + 8 for b. 3 Solve -22 = -z + 5*t, 3*t - 4 = -4*z - 8 for z. 2 Solve 3*x - 1 = -r, -4*r + 21 = 2*r + 3*x for r. 4 Solve 5*a = -3*g - g - 15, -2*g = -4*a + 14 for a. 1 Solve 2*y = 4*h - 2, y - 2 = -5*h + 3*y for h. 0 Solve -20 = -5*o, 4*o + 1 = -j + 13 ...
{ "pile_set_name": "DM Mathematics" }
is the greatest common divisor of 28138 and 88? 22 Calculate the highest common divisor of 1920 and 98160. 240 Calculate the greatest common factor of 89022 and 555. 111 What is the highest common factor of 273 and 31486? 91 Calculate the highest common divisor of 32752 and 132848. 368 What is the greatest common facto...
{ "pile_set_name": "DM Mathematics" }
se -10*r + o = r. What is the units digit of r? 4 Let a(b) = b**3 + 7*b**2 + 7*b + 3. Let l be a(-6). Let y(p) = -p - 1. Let f(u) = 16*u - 12. Let v(c) = -f(c) + 4*y(c). What is the units digit of v(l)? 8 Let c(k) = k**3 - 11*k. Let r be c(-4). Let t(o) = -5*o + 93. What is the units digit of t(r)? 3 Suppose -5*u - 273...
{ "pile_set_name": "DM Mathematics" }
by 13. 2 What is the remainder when 28 is divided by 16? 12 Calculate the remainder when 804 is divided by 374. 56 What is the remainder when 465 is divided by 40? 25 What is the remainder when 336 is divided by 28? 0 What is the remainder when 322 is divided by 81? 79 What is the remainder when 4421 is divided by 110...
{ "pile_set_name": "DM Mathematics" }
*g**2 + 2 + (0 + 2*g + 0)*(1 - 1 + 8*g). 26*g**2 Expand 3*l + l**2 - 3*l + 2*l - 2*l + l**2 + (-1 - 1 + 0)*(-3 - 2*l**2 + 3) + 15*l**2 - 26*l**2 + 13*l**2. 8*l**2 Expand -h - 3*h**4 + h - 2*h**3 + (-3 + 2*h**2 + 3)*(2*h**2 + 0 + 0) + 3*h**4 - 3*h**4 + 2*h**4 + h**4 + 3*h**4 - 5*h**4. 2*h**4 - 2*h**3 Expand (-2 + 1 - 1)...
{ "pile_set_name": "DM Mathematics" }