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Is 13 a factor of 1*-3*(z + -6 + -3)? True Suppose 0 = -5*g - 5*v + 85, 4*g = 5*v - 16 + 48. Let f be (3/(-2))/(g/(-3588)). Does 3 divide (-1)/(-5) - f/(-30)? False Let x(u) = 3*u**2 + 2*u - 36. Let p(k) = -2*k**2 - k + 24. Let c(f) = 7*p(f) + 5*x(f). Does 4 divide c(-8)? True Let g = -61 + 374. Is g a multiple of 5? F...
{ "pile_set_name": "DM Mathematics" }
e of 61*l*n**3 + 2*l + 3*n**3 + 227*n wrt n. 366*l*n + 18*n What is the derivative of -2829*h**2*y**3 + 1063*h**2 wrt y? -8487*h**2*y**2 Find the third derivative of -478*s**5 - s**2 + 81 wrt s. -28680*s**2 Find the second derivative of 3*o**3 - 5*o**2 - 2*o - 2. 18*o - 10 Find the second derivative of -3*x**2 - 2*x - ...
{ "pile_set_name": "DM Mathematics" }
j - 4*v + 5 = -3*v for j. 4 Suppose 0 = -4*s - 3 - 1. Let g = 2 - s. Suppose -2*i + 38 + 2 = 0. Solve 2*d + g*d - i = m, d + 5*m - 4 = 0 for d. 4 Suppose -o + 8 = -2*k, 3*o - 2*o = 3*k + 12. Suppose o - 4 = -u. Solve 2*y = 3*y + 5*j - 25, u*y - 4*j = -20 for y. 0 Suppose 5*s + 0*s - 15 = 0. Suppose -45 = -2*k - s*k. Su...
{ "pile_set_name": "DM Mathematics" }
p**2 - 224*p - 224. Give -672*f(l) - 3*j(l). 96*l**3 Let j(u) = 663*u**3 - 6*u**2 + 22*u + 6. Let n(p) = -132*p**3 + p**2 - 4*p - 1. What is 2*j(y) + 11*n(y)? -126*y**3 - y**2 + 1 Let w(c) be the third derivative of -c**3/6 - c**2. Let p(s) = 2*s + 2. Suppose -24*y + 20*y + 40 = 0. Let j be (-63)/45 - (-4)/y. What is j...
{ "pile_set_name": "DM Mathematics" }
3? 1 Let s = -20 - -42. What is the highest common divisor of s and 88? 22 Let m = -4 + 4. Let i be m/1 - 1*-4. Suppose -i*v + 133 = 5. What is the highest common divisor of v and 16? 16 Let h be (-238)/(-10) + (-2)/(-10). What is the highest common factor of h and 36? 12 Suppose -5*a - n + 3 = -18, a + n = 5. Calcula...
{ "pile_set_name": "DM Mathematics" }
3) to base 8. -633661 What is -1044404101 (base 5) in base 8? -10734437 5030664 (base 7) to base 16 9174c What is 127811 (base 14) in base 3? 1012021200002 What is 23303032 (base 4) in base 2? 1011110011001110 Convert -10221022011221 (base 3) to base 11. -11aa029 What is -2204513 (base 6) in base 12? -53739 Convert -31...
{ "pile_set_name": "DM Mathematics" }
z be 1988/6 + (-28)/21. Suppose 4*c - z = -2*c. What is the tens digit of c? 5 Let v(m) = m**3 + 2*m**2 + 6*m. Let c be v(-4). Let g = c + 94. What is the tens digit of g? 3 Suppose 1 + 14 = 5*p. Suppose 2*x = -p*x, v - 136 = -3*x. What is the tens digit of v? 3 Let n = -147 + 502. What is the units digit of n? 5 Let q...
{ "pile_set_name": "DM Mathematics" }
3 + k*r**2 and give k. -5 Express 17477*z**3 + z**4 + 17905*z**3 - 31141*z**3 + (0*z - z + 2*z)*(0*z**3 - 4*z**3 + z**3) in the form j + p*z**2 + h*z + t*z**4 + v*z**3 and give v. 4241 Express 177 - 20*k - 109 + 3*k**2 - 49 + (-9 + 9 + 4*k)*(-5*k + 2*k + 5*k) in the form b*k**2 + v*k + l and give v. -20 Express (968*c ...
{ "pile_set_name": "DM Mathematics" }
(-2/93) assuming t is positive. t**(3983/186) Simplify ((o**(-5/3)/o**(-1/5))**43)**(-1/2) assuming o is positive. o**(473/15) Simplify (c*c**6/c)/(c*c*c/(c**(-3/13)/c))*c*c*c*(c/(c/c**(-12)*c)*c)/c*c*((c*c**(-21))/c)/c assuming c is positive. c**(-380/13) Simplify ((((y*y**0)/y)**(-8))**(-9))**3 assuming y is positive...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from ccllllll? 3/7 Two letters picked without replacement from {r: 1, z: 2, c: 1}. Give prob of picking 1 z and 1 r. 1/3 Three letters picked without replacement from fcfffcffdfffddcfcf. What is prob of picking 1 d and 2 c? 3/136 Three letters picked without replacement from {h: 4, j: 2, m: 7}....
{ "pile_set_name": "DM Mathematics" }
*sqrt(7) + 2)) + (-1 + (sqrt(7) - sqrt(336)/sqrt(3)))**2 + 4). -345 - 35*sqrt(7) Simplify 3*((-1*sqrt(684)*-1)**2 - (-2*sqrt(684) + -3)) - (-2 + sqrt(684) + 1 + 2)*3. 18*sqrt(19) + 2058 Simplify (4*-2*5*(1 + sqrt(468) + -1 + sqrt(468) - sqrt(468) - (-4 + 0 + sqrt(468)))*-5)**2. 640000 Simplify (1*(sqrt(275) + 2*4*sqrt(...
{ "pile_set_name": "DM Mathematics" }
ultiple of 3 and (-15)/(-25) + (-17)/i. 12 What is the common denominator of 29/198 and 28539/(-2430) - (-4)/9? 990 Suppose q + 4*q - 4*w - 200 = 0, q = -2*w + 26. Suppose 5*i - 84 = -3*k, -27 = -k + 3*i - 5*i. Calculate the lowest common multiple of q and k. 396 Find the common denominator of (-10)/(-130) - 2118/(-351...
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of 1628 and 9581. 11 What is the greatest common divisor of 968 and 2816? 88 Calculate the greatest common factor of 586 and 362734. 586 What is the greatest common factor of 591141 and 1038? 519 Calculate the highest common divisor of 416 and 10244. 52 Calculate the greatest common divisor of ...
{ "pile_set_name": "DM Mathematics" }
i = f - 2.8. What is the nearest to l in i, 3, 6/7? i Let w = 10154/3 + -3349. Let h = w + -1180/33. Let l = -0.04 - 0.36. What is the nearest to 1 in h, 0.4, l? 0.4 Let o(q) = q**3 - 4*q**2 - 3*q - 5. Let j be 1*(-1)/((-2)/10). Let i be o(j). Let a = 9/16 + -13/80. What is the nearest to a in i, -2, 0.2? 0.2 Let j = ...
{ "pile_set_name": "DM Mathematics" }
1. -sqrt(5) Simplify sqrt(14)/(-1*sqrt(2)) + (2 + sqrt(343))**2. 27*sqrt(7) + 347 Simplify -4*(sqrt(833)*-1 - sqrt(833))**2. -13328 Simplify sqrt(228)/(sqrt(12) - (sqrt(72)*-2)/sqrt(6)). sqrt(19)/3 Simplify (-1 + 3 + (sqrt(78) - 1*sqrt(78))/sqrt(6))**2. 4 Simplify sqrt(432) + 0 - sqrt(192)*4. -20*sqrt(3) Simplify ((-1*...
{ "pile_set_name": "DM Mathematics" }
hat is prob of sequence nnnm when four letters picked without replacement from {n: 3, h: 1, m: 4}? 1/70 Two letters picked without replacement from sxhhsshsggsxxhszsg. What is prob of sequence xx? 1/51 Calculate prob of sequence ssf when three letters picked without replacement from jsqqggsjqjgsfshh. 1/280 Two letters ...
{ "pile_set_name": "DM Mathematics" }
- 16. Let m(k) = 8*o(k) + 7*w(k). Solve m(t) = 0 for t. -9, 0, 3/2 Factor -129554216/5 - 768108/5*w - 1/5*w**3 - 1518/5*w**2. -(w + 506)**3/5 Suppose 3*i + 14 = 19*l - 17*l, 10 = 4*l + 3*i. Let p(a) be the first derivative of 23 - 4*a**2 - l*a - 4/3*a**3. Determine z so that p(z) = 0. -1 Let v(s) be the first derivativ...
{ "pile_set_name": "DM Mathematics" }
is the remainder when 18*(o + 50/6) is divided by 33? 30 Let d(g) = 2*g**2 + g. Let p be (-1 + -4)/(-10)*4. Suppose -5*w = -7*w + p. Calculate the remainder when d(-1) is divided by w. 0 Suppose 779 = 2*x + 6*k - 11*k, 1552 = 4*x - 4*k. What is the remainder when x is divided by 16? 3 Suppose -34*i + 1653 - 89 = 0. Wha...
{ "pile_set_name": "DM Mathematics" }
. What is the units digit of x? 0 Suppose 5*p + 48960 = -7*f + 10*f, 3*f + 3*p = 49008. What is the hundreds digit of f? 3 Suppose 0 = -171*u + 3143856 - 1211325 + 4622070. What is the thousands digit of u? 8 Suppose 2*j + 7093 = -5*f + 27302, -2*j + 7*f = -20149. What is the hundreds digit of j? 0 Suppose 22*o - 17683...
{ "pile_set_name": "DM Mathematics" }
66) + 299 + -187. 49 31 + 0 + (196 - (-166 - -357)) 36 Evaluate 61 + 7 + (-97 - -83). 54 Evaluate (-4 - -7) + -169 + 150 - 4. -20 (28 - 20) + (53 - 47 - (16 + 0)) + -4 -6 What is the value of 0 + (25 + -28 - -3 - 22) + (-5 - 0)? -27 Calculate (56 - (23 - -23)) + -16. -6 What is the value of -30 - ((157 - 153) + (-5 - -...
{ "pile_set_name": "DM Mathematics" }
- -8195.999991931. What is l rounded to seven decimal places? -0.0000081 Let k = -27 + -12. Let c = 6 + k. Round c to the nearest ten. -30 Let w = -0.19 - -0.3154. Round w to two decimal places. 0.13 Let h = 1334.18 - 1345. Let i = -0.18 + h. Let d = i - -10.9999998. What is d rounded to 6 decimal places? 0 Let v be 1...
{ "pile_set_name": "DM Mathematics" }
- 13. Suppose c*q = -5*d + 1406, 8 = -4*q + 20. Is 35 a factor of d? True Let t(v) = 8*v - 1. Suppose -7*h + 2*h = -5. Let r be t(h). Suppose r*q - 2*q = 415. Is q a multiple of 17? False Let g be (-6)/(-2) - 0 - (-11 - -10). Does 4 divide ((-48)/(-28))/(g/28)? True Let b(q) = -q + 3. Let a be b(-4). Let x = a - -11. S...
{ "pile_set_name": "DM Mathematics" }
16, what is -63d + -5? -642 In base 3, what is -210 + 2101110? 2100200 In base 4, what is 21012 + -11? 21001 In base 12, what is -1219 - 10? -1229 In base 9, what is 13 - -15? 28 In base 3, what is -101000112 + 0? -101000112 In base 5, what is -1 - -1002? 1001 In base 15, what is 9 - 3ba? -3b1 In base 4, what is 312 - ...
{ "pile_set_name": "DM Mathematics" }
-2 Express 12168*l**3 - 24281*l**3 + 12165*l**3 + 20*l**2 as j*l**3 + x*l**2 + m + o*l and give x. 20 Rearrange -1676*b**2 - 4048*b**2 - 3252*b**2 - 154*b**2 + 2334*b**2 to r + k*b + w*b**2 and give w. -6796 Rearrange -4*f - 28 - 21 - 22 + f + 1 - 1 - f - 3*f + 3*f + (4 - 2 + 0)*(1 - 1 - 2*f) + 0*f + 3*f - 2*f + 17*f -...
{ "pile_set_name": "DM Mathematics" }
Suppose s = j - z. Solve 2*q + j = -2*q for q. -4 Let z(d) = -36*d**3 + d - 8 + 4*d**2 + 18*d**3 - 5*d + 19*d**3. Let h be z(-4). Solve 3*i + h = -4 for i. -4 Let p be (-6 - -7)*-3 + (-2 - -17). Suppose b - 27 = -p. Solve 5 = 4*h - b for h. 5 Let t = -6 + 1. Let u(d) = -7*d - 35. Let s be u(t). Solve s = -o + 7*o for ...
{ "pile_set_name": "DM Mathematics" }
(-1368)? 27 10/(-45)*(-1 - 7)/(-16) -1/9 (-7526)/(-1590) - 4/(-15) 5 What is the value of ((-10)/9)/(4725/(-102060))? 24 What is the value of (-48)/(-15) - 66/330? 3 Calculate (-2)/5*(-29 + 0 + 19). 4 (20/(-14))/((-360)/630) 5/2 What is the value of ((-20)/(-50) + 42/20)*(-32 + 30)? -5 What is the value of ((-3)/(-20))...
{ "pile_set_name": "DM Mathematics" }
*z**3 + 565*z**2 + 3*z + 121131. 33*z**2 + 1130*z + 3 Differentiate 2*n**3*q**3 + 2*n**3 - 36932*n - 1574705*q**3 wrt q. 6*n**3*q**2 - 4724115*q**2 What is the derivative of -10*i**4 + i**3 - 3*i**2 - 607*i + 883931 wrt i? -40*i**3 + 3*i**2 - 6*i - 607 Differentiate -h**2*p**2*y - 2*h**2*p - 129352*h**2*y - h*p**2 + 82...
{ "pile_set_name": "DM Mathematics" }
11 and 33655759. 33656670 27 - 4.03960146168 22.96039853832 What is -1341304330.9 take away -3.341? -1341304327.559 What is -28013488 + 2053? -28011435 0.06+35982.16872 35982.22872 What is -1003561683 minus 25474? -1003587157 What is 96 minus -10475030174? 10475030270 What is -170132959287 less than -0.45? 170132959286...
{ "pile_set_name": "DM Mathematics" }
pect to r. 864*n**3*r**3 - 4*n**3*r Find the third derivative of 30*h**4*v**2 - 5*h**3*v + 10*h**2*v + 2*h**2 + 5*h*v**2 wrt h. 720*h*v**2 - 30*v Find the second derivative of 29*j**4 + 42*j**3 + j**2 - 87*j - 20 wrt j. 348*j**2 + 252*j + 2 What is the second derivative of 129*u**4 + 3*u**3 - 70*u? 1548*u**2 + 18*u Dif...
{ "pile_set_name": "DM Mathematics" }
d(m) be the first derivative of -m**2 + 4406. Determine d(q(j)). -32*j + 2 Let k(h) = -1480*h. Let s(g) be the third derivative of g**5/60 + 3021*g**2. What is k(s(u))? -1480*u**2 Let f(l) = -5*l. Let q(u) = 680*u**2 + 193*u - 10. Give q(f(t)). 17000*t**2 - 965*t - 10 Let v(c) = c**2. Suppose 3*a - 15 = f, -2*a + 2*f -...
{ "pile_set_name": "DM Mathematics" }
84/45 Calculate 266240 divided by -8. -33280 Divide -3 by 58788. -1/19596 Calculate 405 divided by 548. 405/548 Calculate -605360 divided by 920. -658 Divide 1 by 43596. 1/43596 What is 24024 divided by 546? 44 Calculate -134622 divided by 7. -134622/7 -215568 divided by 998 -216 Calculate -47760 divided by -597. 80 -1...
{ "pile_set_name": "DM Mathematics" }
t -3990*v**3 + 99741*v**2/5 - 15951*v - 36/5 = 0. -3/6650, 1, 4 What is x in -5*x**5 + 1655*x**4 - 127715*x**3 - 129375*x**2 = 0? -1, 0, 125, 207 Suppose -2*n**3 + 3894*n**2 - 1928070*n + 31661650 = 0. Calculate n. 17, 965 Suppose 4*j**2 - 66120*j = 0. What is j? 0, 16530 Determine m, given that m**4/4 + m**3 - 13*m**2...
{ "pile_set_name": "DM Mathematics" }
-j = 5*d + g - 11, 5*d + 23 = -3*g for d. -4 Let k = -4420 - -4422. Solve 26*i = -3*a + 29*i - 15, -k*i = 0 for a. -5 Suppose -2*p + p + 1 = -3*u, 0 = u - p + 5. Let t = 12 + -8. Let v = t - 0. Solve -3*c - k = c - 4, -u*c = -v*k - 2 for c. 1 Let d(z) = -z. Let f(h) = -2*h + 35. Let i(b) = 15*d(b) - 5*f(b). Let k be i...
{ "pile_set_name": "DM Mathematics" }
a**2 + 3*a + 4. Is w(-4) a multiple of 3? False Let c(v) = -v. Let b(m) = -4*m + 30. Let r(u) = b(u) - 3*c(u). Is r(0) a multiple of 10? True Let h(q) = -2*q**3 + 9*q**2 - 45 + 51 - 11*q + 3*q**3. Is 4 a factor of h(-10)? True Let f(c) be the first derivative of -3/2*c**2 - 4*c + 1/3*c**3 - 4. Is f(7) a multiple of 12?...
{ "pile_set_name": "DM Mathematics" }
324*r**2 - 690*r + 8 = 0. Calculate r. -1, 4/337, 1/3 Let 5*w**5 - 40*w**4 + 75*w**3 + 40*w**2 - 80*w = 0. What is w? -1, 0, 1, 4 Factor 5*y**3 + 45*y**2 - 125*y - 165. 5*(y - 3)*(y + 1)*(y + 11) What is n in 2*n**5/3 - 86*n**4/9 - 22*n**3/3 + 86*n**2/9 + 20*n/3 = 0? -1, -2/3, 0, 1, 15 Let 3*s**2 + 3156*s + 830028 = 0....
{ "pile_set_name": "DM Mathematics" }
l(w(c))? -729*c**2 - 15552 Let f(p) = 12*p**2 + 7*p. Let c(m) = 7*m**2 + 4*m. Let a(g) = -7*c(g) + 4*f(g). Let u(o) = 7*o**2 - 2. Determine u(a(h)). 7*h**4 - 2 Let y(r) = -13*r. Let a(i) be the third derivative of 0 + 0*i**3 + 0*i + 1/24*i**4 + 7*i**2. Determine y(a(q)). -13*q Let j(c) = -12*c. Let r(y) = -632*y**2 - 5...
{ "pile_set_name": "DM Mathematics" }
r 5:26 AM? 1:38 PM What is 715 minutes after 8:08 AM? 8:03 PM What is 707 minutes before 11:07 AM? 11:20 PM How many minutes are there between 1:17 PM and 8:02 PM? 405 How many minutes are there between 5:13 PM and 9:09 PM? 236 What is 697 minutes before 7:13 AM? 7:36 PM What is 264 minutes after 10:29 PM? 2:53 AM How ...
{ "pile_set_name": "DM Mathematics" }
-1? (a) s (b) l (c) 1 b Let y = -90.81 - -90. Let j = 0.81 + y. Which is the nearest to -0.09? (a) j (b) -4 (c) -2/7 a Let v = -4815 - -4816. Let s = 0.24 + 0.16. Which is the closest to -2/3? (a) 3/7 (b) v (c) s c Let u = -4.9823 - 0.0177. Suppose 6*n - 2*n = 4*w - 36, -n - 5*w + 21 = 0. Let h be (-4)/(-132 ...
{ "pile_set_name": "DM Mathematics" }
- 2*t - 4 + 4 + (-3*t - 3*t + 4*t)*(2 - 5 + 1) - 2*t + 3*t - 2*t in the form w + y*t and give y. -447 Express -86*h**3 + 78*h**3 - 47 + 57 as g*h + a*h**3 + w + x*h**2 and give w. 10 Express 1029*k**2 - k**3 - 2*k - 67 - 1029*k**2 - 2*k**4 in the form r + g*k**2 + m*k**4 + x*k + p*k**3 and give x. -2 Rearrange -2*s + ...
{ "pile_set_name": "DM Mathematics" }
173 What is the next term in 2358777, 4717580, 7076419, 9435312, 11794277, 14153332, 16512495? 18871784 What is the next term in -105692, -422734, -951136, -1690898, -2642020, -3804502, -5178344? -6763546 What is the next term in -1980609, -3961084, -5941559, -7922034, -9902509? -11882984 What is next in 27959, 56034, ...
{ "pile_set_name": "DM Mathematics" }
*h + 164. What is the least common multiple of s and 3? 114 Let r be (154/5)/2 - (-10)/(-25). What is the least common multiple of 35 and -3*r/(-9) - -5? 70 Let c(l) = 2*l**3 + 8*l**2 + 12. Let a be c(-6). Let w = -85 - a. Calculate the common denominator of w and 25/2. 2 Let q = -4141 - -4227. What is the smallest com...
{ "pile_set_name": "DM Mathematics" }
c be z(13). Solve -2*n - 10 = -i, -5*i - c*n = -0*n + 10 for i. 0 Let h = 63 + -63. Let g(u) = -u**3 + 7*u**2 - 8*u + 9. Let t be g(6). Let z be 0/((-6 - t)/3). Solve -m + h*m - 2 = -p, m + 2*p - 13 = z for m. 3 Let g(b) = b**3 - 7*b**2 - 5*b + 1. Let o be g(5). Let p(x) = 41*x - 16. Let s be p(3). Let w = o + s. Solve...
{ "pile_set_name": "DM Mathematics" }
-1) - -1. 4 Let r be (5 + -2)/(-1) + 3. Suppose 2*m - 4*m + 108 = r. What is the remainder when m is divided by 19? 16 Let k = 14 + -5. Calculate the remainder when 46 is divided by ((-36)/10)/(k/(-30)). 10 Suppose 0 = 4*c + 2*v - 1042, -c - 5*v = -v - 271. What is the remainder when c is divided by 10? 9 Suppose -17*w...
{ "pile_set_name": "DM Mathematics" }
949/21 + -521. Calculate the common denominator of u and -2 + (31/3 - -2). 21 Suppose 0 = -4*b + 20 + 12. Let a be (-2)/1*(-88)/b. What is the common denominator of 4/a + (-2401)/924 and 35/8? 24 Let p(b) = -4*b + 53. Calculate the common denominator of 22/43 and p(13). 43 Suppose -3*x = -8 + 5. Suppose -3 = 2*q - 4*q ...
{ "pile_set_name": "DM Mathematics" }
-7*k - 188. Let r be q(-28). Let f be (4/r)/(g/4). Solve -f = -2*h + 3*h for h. -2 Suppose -3*c + 19 - 14 = -5*k, 10 = 2*k. Solve 16*l + 24 = c*l for l. -4 Let m(b) = -b**2 - 18*b + 2. Let x be m(-18). Suppose 0 = 8*g + x*g - 80. Solve -5*w = -w + g for w. -2 Let g(j) = j**2 - 5*j - 4. Let o be g(7). Suppose -73 = -18...
{ "pile_set_name": "DM Mathematics" }
*w**2 - 1323885 + 1323885. -6*w**2 Collect the terms in -1565*b**2 + 3383*b**2 + 3969*b**2 + 745*b**2. 6532*b**2 Collect the terms in 16272*h + 16201*h - 32473*h + 6*h**3 - 4*h**3. 2*h**3 Collect the terms in 11*o - 25*o**3 + 23*o**3 + 19*o**3. 17*o**3 + 11*o Collect the terms in -4 + 184*u - 186*u + 1. -2*u - 3 Collec...
{ "pile_set_name": "DM Mathematics" }
0338980 a multiple of 55? True Is 1786125320 a multiple of 14? True Is 15917600 a multiple of 100? True Does 9 divide 24763341? False Is 516 a factor of 23566010? False Is 1118300802 a multiple of 851? True Does 3551 divide 105326211? True Does 909 divide 143492500? False Is 27506003 a multiple of 62? False Is 80 a fac...
{ "pile_set_name": "DM Mathematics" }
836. Let t = a + -50.2. Round t to one dp. 1 Let y = 26877876.149247 + -26877893. Let h = y - -16.85. Round h to 3 dps. -0.001 Let f = -46.7915 - -46.6. Let a = 0.0195 - f. Round a to 2 decimal places. 0.21 Let m = -1998.253 - 0.747. Let u = 953 + m. Let g = u - -1045.999999481. What is g rounded to seven dps? -0.00000...
{ "pile_set_name": "DM Mathematics" }
- 23*t - 57. Let d(g) = -53*g**2 - 34*g - 85. Give 5*d(n) - 7*x(n). n**2 - 9*n - 26 Let h(x) = 2*x**3 + x**2 + 3. Let y(q) = 2 - 3*q**2 - 9 + 16 + 6 - 6*q**3 - 25. Let n = 5 - 7. Determine n*y(r) - 7*h(r). -2*r**3 - r**2 - 1 Let i(k) = -36*k**2 + 2*k - 32 + 32 + 82*k**2 + 5*k**3 - 48*k**2. Let d(s) = 21*s**3 - 9*s**2 ...
{ "pile_set_name": "DM Mathematics" }
25 What is eighteen fifths of a century in years? 360 Convert 708201.7 millennia to decades. 70820170 What is 11/8 of a gram in milligrams? 1375 How many millimeters are there in 3290.243um? 3.290243 How many centimeters are there in 3/10 of a kilometer? 30000 What is 0.3251298 hours in days? 0.013547075 How many month...
{ "pile_set_name": "DM Mathematics" }
. -174*q**2 Collect the terms in -6 + 464*m + 3 + 3. 464*m Collect the terms in 9*x + 32*x**2 - 346*x**2 + 13*x - 32*x**2. -346*x**2 + 22*x Collect the terms in 76 - 32 - 5*w**2 - 32. -5*w**2 + 12 Collect the terms in 9*s - 12 - 5*s + 14*s + 0 + 8. 18*s - 4 Collect the terms in -30 - 567*h**3 + 14 + 16. -567*h**3 Colle...
{ "pile_set_name": "DM Mathematics" }
197, 211? x**3 - 5*x**2 - 2*x + 221 What is the k'th term of -40, -36, -18, 20, 84, 180, 314? k**3 + k**2 - 6*k - 36 What is the d'th term of 36, 38, 40, 42? 2*d + 34 What is the h'th term of 10, 9, 8, 7, 6? -h + 11 What is the g'th term of 24, 51, 80, 111, 144? g**2 + 24*g - 1 What is the p'th term of -3112, -6223, -9...
{ "pile_set_name": "DM Mathematics" }
-5 Let q = 1 + 1. Let d(f) = 4 + q*f + 0 + 3 - 5. Determine d(-5). -8 Let z(w) = 3*w**2. Let p be z(1). Let y be (p + -2)/(3 - 2). Let f(t) = -6*t**3 + t**2. What is f(y)? -5 Let h(m) be the first derivative of -m**4/4 - 2*m**3 - 5*m**2/2 + m - 2. Let d = -111 - -107. Determine h(d). -11 Let b be (-28)/(-24) - 2/12. L...
{ "pile_set_name": "DM Mathematics" }
t common divisor of 750 and 508325. 25 What is the highest common factor of 14082 and 744? 6 Calculate the highest common factor of 120 and 616020. 60 What is the highest common divisor of 326112 and 1806? 258 What is the highest common factor of 190 and 6475? 5 Calculate the greatest common divisor of 153 and 108477. ...
{ "pile_set_name": "DM Mathematics" }
1, 2, 0, -4 in increasing order. -4, -1, 0, 1, 2 Sort -0.89, 4, 1/4, 7 in decreasing order. 7, 4, 1/4, -0.89 Put -15, 3, -1, 2 in decreasing order. 3, 2, -1, -15 Put -7, 3/2, 0, -4 in increasing order. -7, -4, 0, 3/2 Sort 1/4, -7.9, 5, 1, 20 in decreasing order. 20, 5, 1, 1/4, -7.9 Sort -4, -340, -3, 1 in ascending ord...
{ "pile_set_name": "DM Mathematics" }
/(-36))/(-7)*(-3 - 964 - -1) a multiple of 14? True Let s(y) = -212*y - 2023. Is 19 a factor of s(-22)? True Let v = -274 - -277. Suppose 5*i + v*f - 1741 = 0, -f + 883 + 164 = 3*i. Is 25 a factor of i? True Suppose 25 = 4*r - 3*c, r + c + 2 - 3 = 0. Suppose 0 = -r*x, -5*x = -2*k - 4*x + 326. Suppose -3*b + n + 755 = 0...
{ "pile_set_name": "DM Mathematics" }
323 Two letters picked without replacement from aaaaa. Give prob of picking 2 a. 1 What is prob of picking 1 b and 2 u when three letters picked without replacement from bbbbubbbubbbbbu? 36/455 What is prob of picking 2 v and 1 q when three letters picked without replacement from {v: 2, q: 6}? 3/28 Four letters picked ...
{ "pile_set_name": "DM Mathematics" }
e. l**(-11/6) Simplify (s/(s**(-2/35)/s)*s)/(s*(((s**(-2/17)/s)/s)/s)/s)*(s*s**(-1/3))**(-6) assuming s is positive. s**(1294/595) Simplify (a**(-6)/(a**7/a))/((a**(-5)*a)/a*(a/a**(-3))/a) assuming a is positive. a**(-10) Simplify (s**(-3/5)*s*s**4)/((s/s**(-4))/s**2) assuming s is positive. s**(7/5) Simplify (x**28*x)...
{ "pile_set_name": "DM Mathematics" }
t one hundred thousand. -900000 Let d = -156 + 296. Let t = d - -105. Let x = t + -246.01. Round x to 1 decimal place. -1 Let r = 134 - -94. Let j = -227.99818 + r. What is j rounded to four dps? 0.0018 Let s = -72 - -117. Let q = -6 - s. What is q rounded to the nearest ten? -50 Let g(r) = r - 2. Let k be g(4). Suppos...
{ "pile_set_name": "DM Mathematics" }
((b**(4/7)/b**(-4))**(2/15))**(-40))**(1/12) assuming b is positive. b**(-128/63) Simplify ((r**6*r*r/(r/(r**3*r*r)))/(r/((r**(-1/6)/r)/r*r)*r*r/r**(-3)))/(r**(1/6)/r**(2/5))**41 assuming r is positive. r**(72/5) Simplify (j/(((j/((j*j**(-7))/j))/j)/j)*j*j/(j**(-7)*j))/(j**(-1))**(8/15)*(j*j*(j*j**(-5))/j*j**(-2/9))/(j...
{ "pile_set_name": "DM Mathematics" }
t n be o(-4). Suppose 0 = -4*v - 5*k - 12, v - 4*v + n*k = -14. Solve 2*t + v = -5*q - t, l*q - t + 5 = 0 for q. -1 Suppose 0 = -6*o + 4*o - 4*j + 14, -2*j + 22 = 4*o. Solve a + 3*f - 3 = -2*a, -4*a + 9 = o*f for a. -4 Let z be (-32)/(-8) + (-1 - 1). Suppose 0 = n - z*n. Solve 3*a = -5*c + 15, n = -3*a + 5*c - 4 - 11 f...
{ "pile_set_name": "DM Mathematics" }
3 Collect the terms in -1379*b + 845*b + 538*b. 4*b Collect the terms in -11787*r**3 - 11769*r**3 - 11762*r**3 + 35320*r**3. 2*r**3 Collect the terms in -8 - 27188*t + 54372*t - 27185*t. -t - 8 Collect the terms in -6326*i**2 + 96*i - 96*i. -6326*i**2 Collect the terms in -8433*n**2 + 9 - 10 + 7*n**3 + 9*n**3. 16*n**3 ...
{ "pile_set_name": "DM Mathematics" }
e dps. -0.00023 Let w be 2 + -3 + -1997 - 2. Round w to the nearest ten thousand. 0 Let c = -207.3 - 6.7. Let m = 213.794 + c. What is m rounded to two dps? -0.21 Let n = 6 - 2. Suppose 5*b + 20 = -p, 0 = n*p + 2*b - b - 15. Suppose -4*q + 28000008 = -p*h, 16800008 = -3*h + 3*q + q. Round h to the nearest one million. ...
{ "pile_set_name": "DM Mathematics" }
62176970 What is one sixth of a minute in seconds? 10 What is 421.8828 kilometers in micrometers? 421882800000 What is 13/8 of a tonne in kilograms? 1625 Convert 695.2637kg to milligrams. 695263700 How many millilitres are there in 29/5 of a litre? 5800 What is 0.6162761 millennia in centuries? 6.162761 How many millil...
{ "pile_set_name": "DM Mathematics" }
2 AM? 331 How many minutes are there between 8:50 AM and 8:06 PM? 676 What is 689 minutes after 10:56 PM? 10:25 AM What is 158 minutes after 5:57 AM? 8:35 AM How many minutes are there between 9:07 PM and 11:24 PM? 137 How many minutes are there between 11:18 AM and 2:23 PM? 185 How many minutes are there between 3:01 ...
{ "pile_set_name": "DM Mathematics" }
the nearest integer? 3 What is the seventh root of 868 to the nearest integer? 3 What is 628 to the power of 1/3, to the nearest integer? 9 What is the cube root of 404 to the nearest integer? 7 What is 1294 to the power of 1/5, to the nearest integer? 4 What is 1425 to the power of 1/2, to the nearest integer? 38 What...
{ "pile_set_name": "DM Mathematics" }
- g. What is the third biggest value in 2, 0.3, x? x Let m = -0.615 + -636.385. Let v = -636.9 - m. Which is the second smallest value? (a) 5 (b) -0.103 (c) 4 (d) v d Suppose 0 = 4*i - 2*v + 1 - 13, 5*i = 4*v + 24. Let s be (-46)/10 - (-10 - -6). Which is the biggest value? (a) s (b) i (c) 2/9 c Let u = 33536 + ...
{ "pile_set_name": "DM Mathematics" }
) Simplify (q**4*q)/(q/(q*q/(q*q**3)*q))*q/(q**(2/21)*q)*(q/q**7)/q assuming q is positive. q**(-86/21) Simplify (o**(-1/17))**14*(o/(o/(o/o**(-4/5))))**6 assuming o is positive. o**(848/85) Simplify ((k**(-2/21)*k)**(-27))**(10/7) assuming k is positive. k**(-1710/49) Simplify (q**(8/3)/(q/q**(4/3)))/((q/q**(-1/7)*q*q...
{ "pile_set_name": "DM Mathematics" }
f(c) = -2*c. Give h(f(w)). -8*w Let j(l) = 13*l - 4*l + 7*l + 5*l. Let q(n) = -2*n**2. Calculate q(j(k)). -882*k**2 Let o(n) = 19*n - 8*n - 13*n. Let w(m) = 4*m**2 - 4*m**2 + m**2. Give w(o(a)). 4*a**2 Let h(s) be the second derivative of -4*s**3/3 - 8*s. Let f(u) = -4*u + 4*u - 2*u. Determine f(h(b)). 16*b Let v(o) = ...
{ "pile_set_name": "DM Mathematics" }
) -0.5 (c) -30 b Which is the nearest to -1/2? (a) -3 (b) -0.5 (c) -2 (d) -7/8 b What is the closest to -0.06 in 2, -5, 5, -0.4? -0.4 What is the nearest to 6 in 1, 1.3, -6.6, -3? 1.3 What is the nearest to -9 in 2/7, -1, 11/5? -1 Which is the nearest to -10? (a) 5 (b) -9 (c) -2/11 b Which is the nearest to 2? ...
{ "pile_set_name": "DM Mathematics" }
is k rounded to the nearest one thousand? 12000 Let h = 73 - 45. Let w = -32 + h. Let v = -22.2 + w. What is v rounded to 0 decimal places? -26 Let m = -0.2664 - -205.1664. Let y = m + -208. Round y to one decimal place. -3.1 Let r = 12597 - 2590. Let f = r + -10006.9995261. What is f rounded to four dps? 0.0005 Let p...
{ "pile_set_name": "DM Mathematics" }
third derivative of c**6/120 - 17*c**5/60 - 13*c**4/8 + 13*c**3/3 + 1832*c**2 - 2*c + 1. Give w(19). 7 Suppose 0 = -3*l - 5*d - 284 + 249, -5*l + 2*d = -14. Let t(w) be the third derivative of 35*w**2 - 1/24*w**4 + 1/30*w**5 + 0 + l*w - 1/6*w**3. Calculate t(2). 5 Let x(n) be the second derivative of n**5/20 + n**4 + ...
{ "pile_set_name": "DM Mathematics" }
585 = 3*n. Let a be 63/13 + (-18)/n. Suppose -q = -a*w - 0*q + 225, w - q = 45. What is the remainder when w is divided by 16? 13 Let j = 64 + -35. Suppose -i = -0*i - j. Let p = -4371 + 4513. What is the remainder when p is divided by i? 26 Suppose 4*i - 1246 = -2*v, 0 = -5*v - 249 + 244. What is the remainder when i...
{ "pile_set_name": "DM Mathematics" }
prime factors of v? 2, 13 Let j be 1/3*(-108)/(-9). What are the prime factors of (-1)/j*(0 - 0) + 170? 2, 5, 17 Suppose 52 = b + 2*b + 2*z, 0 = b + 5*z. Suppose 0 = 3*s - 11 + b. List the prime factors of 4 + 2*s - -5. 3 List the prime factors of 8 + (2 - 7) - (2 + -279). 2, 5, 7 Let l(z) = -15*z - 10. Let p be l(-4)....
{ "pile_set_name": "DM Mathematics" }
der. 1/7, q, 2 Let k = -21/2 + 12. Let w(r) = -r**3 + 10*r**2 + 7*r - 2. Let p be w(10). Let v be 3*(1 + p/(-72)). Sort v, k, -2 in descending order. k, v, -2 Let t = 2.9 + -0.4. Let q = 0.5 - t. Let y be 1/((-3)/(-5))*-3. Sort y, 0.3, q in descending order. 0.3, q, y Suppose -4*x + 0*x + 24 = 0. Let a = x + -9. Let c ...
{ "pile_set_name": "DM Mathematics" }
*o + 5 + 27. What are the prime factors of o? 11 Let m(z) = -z**2 + 6*z + 1. Let f be m(6). Suppose -5 - 7 = 4*p. List the prime factors of f/(p/(-48))*1. 2 Suppose -2*p = 2*q - 86, 4*p = 3*p + 5*q + 19. What are the prime factors of p? 3, 13 Let n(c) = c**3 + 6*c**2 - 8*c - 6. List the prime factors of n(-6). 2, 3, 7 ...
{ "pile_set_name": "DM Mathematics" }
ent values? True Let b = 7773 + -9004. Which is smaller: 3 or b? b Let b = -55 + 57. Suppose -2*w - w = -b*r - 21, -2*w + 14 = 5*r. Is 2 at most w? True Suppose 15 = -5*t, 4*v - 31 = -v + 2*t. Suppose 2*r = -10*i + v*i + 23, 3*r - 12 = 0. Let n be i/52*(-12 - -4). Is n smaller than 3? True Suppose -3*j + 3 = 6. Let y b...
{ "pile_set_name": "DM Mathematics" }
461512625, 1461512624? -x + 1461512629 What is the m'th term of -94713, -189392, -284039, -378660, -473261, -567848, -662427, -757004? -m**3 + 22*m**2 - 94738*m + 4 What is the u'th term of 228028, 227970, 227912, 227854, 227796? -58*u + 228086 What is the m'th term of 1167609, 2335210, 3502811, 4670412, 5838013? 11676...
{ "pile_set_name": "DM Mathematics" }
pose -s*q = -4*q - 16. What are the prime factors of q? 2 Let m(a) = a**3 + 13*a**2 - 16*a + 8. Let r be (-2 - 14) + (-10)/(-5). List the prime factors of m(r). 2, 3 Let f(b) be the first derivative of b**4/2 + 2*b**3/3 - b**2/2 - 3. Let m = -3 + 4. What are the prime factors of f(m)? 3 Let k = -57 - -119. Let b = 106 ...
{ "pile_set_name": "DM Mathematics" }
*4/39 - w. Factor p(s). 2*s**2*(s + 1)**2*(s + 2)/13 Let a(m) = m**2 - 10*m + 12. Let k be a(9). Suppose 4*w**2 - 6*w**k + w**5 - 3*w**5 + 4*w**5 = 0. What is w? -2, 0, 1 Let p(y) be the third derivative of 0 - y**2 - 1/48*y**4 + 0*y + 0*y**3 - 1/240*y**5. Factor p(u). -u*(u + 2)/4 Let h = -3228/7 + 11575/28. Let d = 4...
{ "pile_set_name": "DM Mathematics" }
Let g(o) = -o**3 + 9*o**2 + 21*o + 2. What is g(11)? -9 Let p(j) = -2*j**3 + 6*j**2 - 5*j + 13. Give p(4). -39 Let p(n) = -2*n**2 - 3*n. Determine p(7). -119 Let u(n) = 11*n - 59. Calculate u(6). 7 Let g(k) = -3*k - 30. Calculate g(-8). -6 Let q(s) = 8*s - 185. Give q(24). 7 Let t(o) = o**3 + 3*o**2 - 11. Calculate t(-...
{ "pile_set_name": "DM Mathematics" }
51*b**2 + 14566*b - 2658 wrt b? 653526*b - 1102 Find the third derivative of 180034*w**3*z**4 - 2*w**3*z**2 + 384*w**2*z**2 - 462*w*z**2 - 40*z**4 wrt z. 4320816*w**3*z - 960*z What is the third derivative of 8424889*z**3 - 8384513*z**2 wrt z? 50549334 Differentiate -k**4*q - 1540062*k*q**2 + 19831023*q**2 wrt k. -4*k*...
{ "pile_set_name": "DM Mathematics" }
t f = -3.5 - -3. Let d = 76.8 + -71. Let c = 6 - d. What is the third biggest value in c, -2, f? -2 Let f(g) = g**3 + 6*g**2 - g. Let i be f(-4). Let k be i/(-27) - (-5)/3. Which is the smallest value? (a) -4 (b) k (c) -2 a Let k = 2.6 + -3.2. Let w = 1.6 + k. What is the third biggest value in w, 0.6, 0.5? 0.5 Supp...
{ "pile_set_name": "DM Mathematics" }
t - v = -7. Suppose 2 = -3*n - j, -t*n + 5*j - 26 = n. Sort 4, n, 3. n, 3, 4 Let s = 3 - 3. Let y be (-26)/(-10) + (-2)/(-5). Sort 5/3, y, s in decreasing order. y, 5/3, s Suppose 4*w - 2*w - 5*p = 15, 3*w - 20 = 5*p. Sort w, -3, 1, -2 in descending order. w, 1, -2, -3 Let u = -15 - -22. Put 1/6, -0.5, u in ascending o...
{ "pile_set_name": "DM Mathematics" }
(4 - 5)*(3 + -1). -2 Evaluate (15/(-85))/((18/(-4))/3). 2/17 Evaluate (-2 + 5)*(-1 + 20/15). 1 ((-130)/1365)/(2/3) -1/7 Evaluate (3/(-4))/(795/424). -2/5 What is the value of (-785)/(-471) - 7/(-3)? 4 What is 2/8*0 + 8/(-6)? -4/3 Evaluate (-6)/(-12)*-2 + -3. -4 What is (5/(-15))/(19 + -20)? 1/3 Calculate 40/16*(-4)/(-8...
{ "pile_set_name": "DM Mathematics" }
0*y)*(-1 + 1 + 2*y)*(78 + 326 + 100). 1008*y**2 Expand (2*v - 3*v + 0*v)*((4 - 4*v - 4)*(-5*v**2 - v**3 + 5*v**2) - 3*v**3 - 2*v**4 + 3*v**3 + 0*v**3 - 3*v**4 + 0*v**3). v**5 Expand (-3*a + 0*a + 2*a)*(4*a**3 + 0*a**3 + 0*a**3) + 0*a**4 - 3*a**4 + 4*a**4 - 3*a**4 + 0*a**4 - 2*a**4 + a**2. -8*a**4 + a**2 Expand (-3*l - ...
{ "pile_set_name": "DM Mathematics" }
x(9). Let q(b) = 2*b - 3. Does 5 divide q(w)? True Suppose 0 = 5*q + 5*l + 250, 3*q - l + 10 = -132. Suppose -61 = 4*y + 35. Let b = y - q. Is 12 a factor of b? True Suppose -4*v + 445 = 5*g, 215 = -0*v + 2*v + g. Is 13 a factor of v? False Let u(z) be the first derivative of z**4/4 + 7*z**3/3 + 3*z**2 - 6*z + 2. Is u(...
{ "pile_set_name": "DM Mathematics" }
= 2*x - 4*x, 5*k - 7 = 4*x for k. 3 Solve 3*g = -4*d + 23, -g + 3*d - 49 = -48 for g. 5 Solve -4 = -4*r + 3*g, 2295 = 4*r - 5*g + 2299 for r. 4 Solve 0 = 5*l - p - 23, l - 4641*p - 1 = -4639*p for l. 5 Solve -2*s - 25 = -3*x, s - 59 = x - 69 for x. 5 Solve -4*b - 3*j = 23, -4*b + 29 = -6*b - 5*j for b. -2 Solve -d + k...
{ "pile_set_name": "DM Mathematics" }
-1367? 3/2 What is the fifth smallest value in 3/7, 2, -4, -2/27365, -3/34, 1/2, 1? 1/2 What is the second smallest value in 1/2, 544.93, 3, -5? 1/2 Which is the fifth smallest value? (a) -3 (b) 1.112 (c) 4 (d) -1657 (e) -0.4 c What is the third smallest value in -5, -1/7, -4, -0.4945? -0.4945 Which is the third b...
{ "pile_set_name": "DM Mathematics" }
4*t**2 + 6. Let i(c) = -3*c**2 - 5. Let n(v) = -6*i(v) - 5*x(v). What is u(n(o))? -12*o**4 Let i(r) = 4 - 2*r**2 - 4. Let j(s) be the second derivative of 4*s + 0*s**2 - 5/6*s**3 + 0. What is i(j(b))? -50*b**2 Let d(c) be the third derivative of -5*c**2 + 0*c + 0 + 7/12*c**4 + 0*c**3. Let k(x) = -x**2. What is k(d(n))...
{ "pile_set_name": "DM Mathematics" }
b + b)*(443*b + 202*b + 124*b) + (-b**2 - b**2 + 0*b**2)*(3 + 2 - 3) in the form m*b**2 + j*b + p and give m. 765 Rearrange (-p + 0*p - p)*(3 - 1 + 0) - 6*p + 0*p + 4*p + 79*p - 47*p - 42*p - p + 0*p - p + (p + p - 4*p)*(4 + 1 - 3) - p + 0*p - p to l + s*p and give s. -24 Rearrange -2 + 358*p**2 - 1 - 1 + 16*p**2 + 2 ...
{ "pile_set_name": "DM Mathematics" }
7*k - 81. Let l be r(3). What is the highest common divisor of 5391 and l? 9 Let c(a) = -a**2 - 76*a + 1364. Let q be c(-68). What is the highest common factor of 36 and q? 36 Suppose 3*y = 2*v - 85, -y - 2*y + 3*v - 84 = 0. Let w = -47 - y. Let r = w + 39. What is the highest common factor of 7 and r? 7 Let p(b) = b**...
{ "pile_set_name": "DM Mathematics" }
6*p + 497. What is the hundreds digit of p? 1 Suppose f + 13 = 13. Suppose 5*m - 1041 - 124 = f. Suppose -6*d + 469 = -m. What is the units digit of d? 7 What is the hundreds digit of ((-40)/(-24) + -2)*(-3 + -73674)? 5 Suppose 3*o = 5*l - 78384, 4939 = l + 2*o - 10730. What is the units digit of l? 5 Let a = 422 + 27....
{ "pile_set_name": "DM Mathematics" }
that o(k) = 0. -1, 0, 1 Let u = 117 + -115. Suppose -2/7*m**3 + 0 + 4/7*m - 2/7*m**u = 0. Calculate m. -2, 0, 1 Let y(h) be the first derivative of h**8/168 - h**7/105 - 3*h**2/2 + 3. Let w(b) be the second derivative of y(b). Find l, given that w(l) = 0. 0, 1 Suppose -3*f + 12 = 3*z, -1 - 7 = -4*z. Let -1/3*c**f + 2/...
{ "pile_set_name": "DM Mathematics" }
3 - 2? 254411211 In base 10, what is -246768193 - 5? -246768198 In base 5, what is 310 - 101040032? -101034222 In base 10, what is -94488 - -36? -94452 In base 6, what is 3515250 + 1532? 3521222 In base 2, what is -1 - -110110101010101000111? 110110101010101000110 In base 13, what is -328593 + 132? -328461 In base 2, w...
{ "pile_set_name": "DM Mathematics" }
53647 (c) -5 a What is the fifth biggest value in 3/4, 1/2, 33, 1/3, 2/3, 1450? 1/2 What is the third biggest value in -231.3, 5, -42/37? -231.3 Which is the fourth biggest value? (a) -0.4 (b) -20.671 (c) -1/3 (d) -0.5 (e) -2 (f) 4 d What is the seventh smallest value in 1/2, -57, -3, 0.9, -300, 0.4, 4/7? 0.9 Wh...
{ "pile_set_name": "DM Mathematics" }
-l + 7 = z + 1, 14 = 3*z + 2*l. Suppose 6*h - 1 - 23 = 0. Suppose 4*g - 2*n + z = 5*g, h = 4*n. Give w(g). 4 Let y(s) be the first derivative of s**4/4 - 3*s**3 - s**2/2 + 12*s - 40. Calculate y(9). 3 Suppose 6*q - 20 = q. Let v(a) = -q*a**3 + 4*a**3 - 6*a**3 - a**2 - a**2 + 1. Determine v(-1). 5 Let y(t) = 2*t + 2. Su...
{ "pile_set_name": "DM Mathematics" }
ify (1*(sqrt(1216) - (-2 + sqrt(1216) + -3 - sqrt(1216))))**2. 80*sqrt(19) + 1241 Simplify (sqrt(35) - sqrt(875))/sqrt(5) - (1 + 2*sqrt(7)). -6*sqrt(7) - 1 Simplify (6*sqrt(304))**2 + -2*sqrt(1539). -18*sqrt(19) + 10944 Simplify (1 + 3*sqrt(720)*-1)**2 + 0. -72*sqrt(5) + 6481 Simplify 3*(-2 + 2*(sqrt(637) + sqrt(637) +...
{ "pile_set_name": "DM Mathematics" }
**(-2/7)))/w)/w))**(2/13)/(w/(w*w/(w/(w*w*w/w**(2/3)*w*w))*w))**(6/23) assuming w is positive. w**(4292/2093) Simplify t*t*t/t**(-38)*t/(t/(t**(-1/10)*t)*t*t) assuming t is positive. t**(399/10) Simplify (i**(2/33)/(i/(i/i**(-1/3))))/(i**(-1/2))**(-13) assuming i is positive. i**(-403/66) Simplify (l/(l*l**(-5)*l*l))**...
{ "pile_set_name": "DM Mathematics" }
Does 14 divide x(10)? False Suppose 123 = 5*q + 3*k, -5*q + 69 = -2*q + 3*k. Suppose p - q + 7 = 0. Is p a multiple of 5? True Is 3 a factor of 9 - 5/(15/(-9))? True Suppose -53 = -2*a + 3*m, -45 + 11 = -a + 4*m. Is 11 a factor of a? True Let h = -9 - -14. Suppose -2*d + 4 + 74 = 4*l, h*d = 15. Is l a multiple of 5? F...
{ "pile_set_name": "DM Mathematics" }