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j. -1 Rearrange -l - 223 - 56 - 1064 to v + j*l and give j. -1 Rearrange 877*i**2 + 876*i**2 + 6055*i**2 + 1847*i**2 to the form m + y*i**2 + v*i and give y. 9655 Rearrange (-2*g + 0 + 0)*(g + 0*g - 2*g)*(1328*g - 693*g - 2392 - 633*g) + 0*g**2 + 2*g**3 + 0*g**2 to the form x*g**3 + l + d*g**2 + i*g and give d. -4784 E...
{ "pile_set_name": "DM Mathematics" }
st value in -0.2, -1, 0.3, r, 1/5? r Let m = 23 - 160/7. Which is the biggest value? (a) m (b) -0.01 (c) -12 (d) 3 d Let o = -1192 + 1197. Which is the second biggest value? (a) 0.9 (b) o (c) 203 b Let h = 657 - 55. Suppose -62*i + 1692 = -h. What is the second biggest value in i, -2, 1? 1 Let l = -421.11 + 421....
{ "pile_set_name": "DM Mathematics" }
2)? -6/11 What is -1*6/12*1? -1/2 What is the value of (-18)/(-2)*-1*54/162? -3 What is the value of 4/15*(-560)/672? -2/9 Evaluate 6*(-2)/(-36)*-1. -1/3 Evaluate ((-8)/((-400)/(-30)))/1. -3/5 Calculate 3*(-4)/(-48)*15/(-10). -3/8 Evaluate -4*1/24*-3*-10. -5 What is ((-1)/(-1)*-1)/(25/10)? -2/5 Calculate 600/(-60)*(-2)...
{ "pile_set_name": "DM Mathematics" }
ens digit of 45293? 9 What is the thousands digit of 7939? 7 What is the units digit of 15942? 2 What is the tens digit of 2631? 3 What is the thousands digit of 8388? 8 What is the thousands digit of 1732? 1 What is the units digit of 16638? 8 What is the thousands digit of 3854? 3 What is the hundreds digit of 42670?...
{ "pile_set_name": "DM Mathematics" }
Let j(f) = 7*f**3 - 6*f**2 + 4. Calculate b*j(o) + 6*h(o). o**3 + 4 Let k(y) = 15*y**3 + 52*y**2 - 11*y - 4. Let w(d) = -4*d**3 - 13*d**2 + 3*d + 1. Give 6*k(h) + 22*w(h). 2*h**3 + 26*h**2 - 2 Let o(c) = -c**3 + 6*c + 7. Let p(x) = -x - 1. Calculate o(i) + 6*p(i). -i**3 + 1 Let v(q) = -2*q - 4. Let i(w) = -w. Let y(b) ...
{ "pile_set_name": "DM Mathematics" }
6 + 5*f**3/6 - f**2 - 22. Calculate i(4). 53 Let k(x) = -x**2 + 15*x - 8. Suppose -150 = -389*n + 379*n. Give k(n). -8 Let k(v) = 9*v - 69. Suppose -1793*u + 1820*u = 216. Calculate k(u). 3 Let v = -383 - -365. Let s(b) = 2*b + 33. What is s(v)? -3 Let z(m) = 2*m + 50632 - 50632. Give z(-3). -6 Let b(l) be the second d...
{ "pile_set_name": "DM Mathematics" }
- 2. Let g(b) = b**3 + 11*b**2 + 10*b + 7. Let r be g(-10). Suppose -r = -4*n + 21. Suppose -3*s = -2*s - n. What is j(s)? 5 Suppose 12*b + 35 = -1. Let i = 0 + 1. Let o(u) = -4 - i + 3 + u. What is o(b)? -5 Let k = -6 + 6. Let r(w) = w**3 - w**2 - 2*w + 2. Let y be r(k). Let v(a) = -2*a**3 + a**2 + 2*a. Determine v(y)...
{ "pile_set_name": "DM Mathematics" }
58/15 + 275593. Let q = c - -411. What is the second smallest value in q, -1, 9? q Let d = 0.18 + 0.02. What is the third biggest value in 0, -1/3, d? -1/3 Let h = 0.068 + -5.368. Let q = -0.3 - h. Let j = 9 - q. Which is the second biggest value? (a) -0.3 (b) j (c) -0.4 a Suppose -20 = -5*z + 5. Let n be (z + -1)*(...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from vvxxxvvvxvv. Give prob of sequence xvvx. 7/110 Four letters picked without replacement from {j: 14, d: 4}. What is prob of sequence djjj? 91/765 What is prob of sequence yxy when three letters picked without replacement from yjjjjyjjjyjxjjjj? 1/560 What is prob of sequence rff when thre...
{ "pile_set_name": "DM Mathematics" }
9 - -2.9. What is the second smallest value in t, -3, 1, -5? -3 Let r be (-46)/23*(-2)/6. What is the second smallest value in r, 3, -1/4? r Let n = -508627/26 + 19565. Let x = 12/13 - n. Let r = 0 + 4. What is the third biggest value in r, x, -1? x Let l = 0.01 - -7.99. Let c = -8.4 + l. Let g = -4 - -6. What is the t...
{ "pile_set_name": "DM Mathematics" }
10. What is the units digit of m(u)? 0 Let b(k) = -k - 1. Let x be b(3). Let q be 2/(-4)*8/x. Let o(i) = 2*i - 1. What is the units digit of o(q)? 1 Let z = 2 + 0. Suppose 2*r + 3*x - 45 = 0, -4*x + 28 = r - z. What is the tens digit of r? 1 Suppose 3*a - 3*x = 9, -x + 5*x = 0. Suppose 12 = -a*v, 3*v = -0*m + 2*m. Let ...
{ "pile_set_name": "DM Mathematics" }
at is next in -9006, -14587, -20168, -25749, -31330? -36911 What is next in -20183, -40561, -60939, -81317? -101695 What comes next: -684987, -684772, -684419, -683934, -683323? -682592 What comes next: -36437, -37688, -38943, -40202, -41465, -42732? -44003 What is the next term in 175127, 1401116, 4728843, 11209190, 2...
{ "pile_set_name": "DM Mathematics" }
w'th term of 3219, 5480, 7741? 2261*w + 958 What is the t'th term of 2724, 4732, 8078, 12762? 669*t**2 + t + 2054 What is the x'th term of -37206, -74403, -111594, -148779, -185958, -223131, -260298? 3*x**2 - 37206*x - 3 What is the s'th term of -14405, -14402, -14399, -14396, -14393? 3*s - 14408 What is the y'th term...
{ "pile_set_name": "DM Mathematics" }
= -r + y + l, -4*r + 3*y + 97 - 2 = 0. Calculate the remainder when r is divided by 8. 7 Suppose -f + 4*d + 13 = 0, 0 = 3*f + 2*f - 4*d - 33. Let j(w) = w**3 + 4*w**2 - 5*w + 2. What is the remainder when j(-4) is divided by f? 2 Let s = -1829 + 2169. Calculate the remainder when s is divided by 18. 16 Calculate the r...
{ "pile_set_name": "DM Mathematics" }
.014251. -338.632262 -869 * 16.635 -14455.815 Work out -1087273 * 6. -6523638 What is the product of -0.5 and -29276261? 14638130.5 Calculate -5.065*-416. 2107.04 Product of -18.2002 and 6.57. -119.575314 0.4*-9.431877 -3.7727508 What is the product of 0.215 and -6.20941? -1.33502315 Product of -0.1 and 21602347. -2160...
{ "pile_set_name": "DM Mathematics" }
) + 6*n(z). Differentiate p(d) wrt d. 13 Find the third derivative of 11*z**3 + 44*z**2 - 13*z**6 + 174*z**2 + 224*z**2 - 26*z**3 + 14*z**3 wrt z. -1560*z**3 - 6 Let b = -150 + 153. Let i(m) = -m**2 - 7*m + 3. Let c be i(-7). Find the first derivative of b + 9*q**3 - 3*q**c + 2 wrt q. 18*q**2 Let t(l) = 174*l**4 - 1109...
{ "pile_set_name": "DM Mathematics" }
ob of picking 2 m and 1 v when three letters picked without replacement from vmmvmcmc? 3/14 Three letters picked without replacement from {l: 4, n: 1, t: 2, r: 2}. Give prob of picking 1 t, 1 r, and 1 l. 4/21 What is prob of picking 2 n, 1 a, and 1 v when four letters picked without replacement from vndanxvvdvaddnddxvv...
{ "pile_set_name": "DM Mathematics" }
*f**2 + 157*f - 13. Let h be 25/10 - 28/(-8). Let b(a) = -716*a**2 + 158*a - 14. Let o(v) = h*m(v) - 5*b(v). Factor o(k). -2*(19*k - 2)**2 Solve -248*b + 65*b**2 - 4*b**4 + 160 + 19*b**2 + 8417*b**3 - 8409*b**3 = 0 for b. -5, 1, 2, 4 Let z(d) be the third derivative of -7/720*d**6 + 0*d**3 + 1/252*d**7 + 1/24*d**4 + 23...
{ "pile_set_name": "DM Mathematics" }
t(2)/800 Simplify 3*(1 + (sqrt(85)/sqrt(5))**2 + 4)*1. 66 Simplify (2*sqrt(252))**2*-5 + (sqrt(84)/(sqrt(48)/sqrt(4)*-2))**2. -20153/4 Simplify ((sqrt(45) + 3*sqrt(45) + sqrt(45))*-3)/(2*sqrt(324))*-1. 5*sqrt(5)/4 Simplify -2*(4*(sqrt(26)/((sqrt(2) + sqrt(8)/sqrt(4) - sqrt(2)) + sqrt(2)) + -3*(sqrt(13) + 0)))**2*-4. 10...
{ "pile_set_name": "DM Mathematics" }
1309217251 a prime number? True Is 206885849 a prime number? True Is 8119601249 composite? False Is 2247236207 prime? False Is 6961305953 a composite number? True Is 13523815849 composite? True Is 8609005159 a composite number? True Is 3587712773 composite? False Is 2867191 a composite number? True Is 13653855757 prim...
{ "pile_set_name": "DM Mathematics" }
lligrams? 625 What is twenty-seven quarters of a meter in centimeters? 675 How many years are there in 3/50 of a century? 6 What is three tenths of a microsecond in nanoseconds? 300 What is 5.211084 nanograms in micrograms? 0.005211084 What is 252601.146ns in days? 0.000000002923624375 How many centimeters are there in...
{ "pile_set_name": "DM Mathematics" }
q = -0.04 + -2.96. What is the closest to 2/5 in q, 2, x? 2 Let n be (-1)/4*2*0. Let y(v) = 2*v**2 - 10*v - 464. Let d be y(18). Which is the closest to -2? (a) d (b) n (c) 1/8 b Let t = -20.674 - -20.374. Suppose -4*b + 2*h - 3*h + 45 = 0, -69 = -5*b + 3*h. Let p = 211/3 - 71. What is the closest to 0 in p, b, t? ...
{ "pile_set_name": "DM Mathematics" }
r**(-1/2)*r**(-10)*r)**(1/63)*((r**(1/2))**(40/9))**(1/2) assuming r is positive. r**(121/126) Simplify (r**(1/2)*r**(-6/5))/(r**(32/5)/(r*r*r**21/r*r)) assuming r is positive. r**(159/10) Simplify (i*i*i**(18/7)*i*(i*i**(-3/13)*i*i)/i)/(i*i**(-26)*i*i/(((i**(-3/8)/i)/i)/i)*i) assuming i is positive. i**(18903/728) Sim...
{ "pile_set_name": "DM Mathematics" }
om {f: 3, l: 2}? 3/10 Four letters picked without replacement from {o: 2, p: 3, s: 3, u: 1, y: 2, n: 3}. What is prob of picking 1 y, 1 s, and 2 n? 18/1001 Three letters picked without replacement from {p: 11, u: 1, h: 1}. Give prob of picking 1 u and 2 p. 5/26 Calculate prob of picking 2 x, 1 v, and 1 k when four lett...
{ "pile_set_name": "DM Mathematics" }
92)). 4 What is ((-570)/(-1045))/((-2)/(-11))? 3 Evaluate (-2)/(-42)*6/3. 2/21 Calculate (480/45)/16*18/(-4). -3 What is the value of (-1)/((-22)/(-24)*6)? -2/11 Calculate -6*7/(-63)*18/(-8). -3/2 Evaluate (-20)/8*(-12)/(-750)*15. -3/5 Evaluate -1*(-50)/(-5)*4/10. -4 Calculate (-4)/7*6/(-12). 2/7 Evaluate (0/3)/((-156)...
{ "pile_set_name": "DM Mathematics" }
ement from lsnnens. 2/21 Three letters picked without replacement from {v: 5, i: 3, g: 1, s: 1, k: 1}. What is prob of picking 1 g, 1 k, and 1 s? 1/165 Two letters picked without replacement from {o: 2, b: 3}. What is prob of picking 2 b? 3/10 Two letters picked without replacement from chcc. What is prob of picking 2 ...
{ "pile_set_name": "DM Mathematics" }
35? -241340543 In base 15, what is -72e11439 - -5? -72e11434 In base 13, what is -652 + -43b? -a90 In base 11, what is -183 - 47a4? -4977 In base 12, what is -8b1 - -4bbb? 430a In base 7, what is -5 + 5262655612? 5262655604 In base 13, what is -931177 - -2? -931175 In base 11, what is -615 + 53171? 52657 In base 6, wha...
{ "pile_set_name": "DM Mathematics" }
*2 wrt b. -1940*b**3*v**2 + 60*b**3 What is the second derivative of 17*t**3*u**2 + t**3 - 43*t**2*u wrt u? 34*t**3 Find the third derivative of -47*f**4 - 3*f**3*i**3 + f**2*i**2 - 38*f*i**3 wrt f. -1128*f - 18*i**3 Find the first derivative of -5*a**2*k + 191*a**2 - a*k + 2*a + 10153*k wrt a. -10*a*k + 382*a - k + 2 ...
{ "pile_set_name": "DM Mathematics" }
nd 880? 7040 Calculate the smallest common multiple of 150 and 70. 1050 Calculate the common denominator of -22/9 and 37/120. 360 Calculate the lowest common multiple of 192 and 24. 192 What is the smallest common multiple of 4416 and 5? 22080 Find the common denominator of 59/16 and 1/332. 1328 What is the common deno...
{ "pile_set_name": "DM Mathematics" }
divided by 18? 13 Calculate the remainder when 634 is divided by 139. 78 What is the remainder when 52694 is divided by 303? 275 What is the remainder when 2462991 is divided by 183? 177 Calculate the remainder when 108764 is divided by 706. 40 What is the remainder when 401053 is divided by 7567? 2 Calculate the remai...
{ "pile_set_name": "DM Mathematics" }
2)/g)**41 assuming g is positive. g**(-82) Simplify (s*s*s**12)/s**(-9/8) assuming s is positive. s**(121/8) Simplify (r/(r*r*r**(-2/3)/r*r))**19 assuming r is positive. r**(-19/3) Simplify ((g/g**6)/g**3)/(g**(1/2))**(-4/3) assuming g is positive. g**(-22/3) Simplify c*c*c**14*c**(-2/3) assuming c is positive. c**(46/...
{ "pile_set_name": "DM Mathematics" }
599 What is -5971359 divided by 5? -5971359/5 Calculate 737338 divided by 2. 368669 Divide 126108 by -1. -126108 Divide 70320 by 3. 23440 Divide 238870 by -5. -47774 Calculate 7711 divided by 9. 7711/9 -778026 divided by -1 778026 Divide -221185 by 5. -44237 38088 divided by 18 2116 Divide -171 by -9408. 57/3136 -54320...
{ "pile_set_name": "DM Mathematics" }
1 Suppose -4*d - 13 = -33. Suppose -4*g + 16 = -d*i, 5 - 17 = -3*i. What is the units digit of g? 9 Let a = 7 - -13. Suppose -4*c = -y - 3*c + a, -4*c = 2*y - 46. What is the tens digit of y? 2 Let j = 20 - -35. What is the tens digit of j? 5 Let v be -26*(-2 + 4) - 2. Let b be 2/(-12) + (-171)/v. Suppose 4 = b*a + 1. ...
{ "pile_set_name": "DM Mathematics" }
y i? 15 Let s = -8 - -34. Calculate the remainder when s is divided by 7. 5 Suppose 0 = 5*m + 2*r - 87, r = -4*m - 2*r + 71. Calculate the remainder when m is divided by 13. 4 Suppose 2*v - 12 = -4. Suppose -24 = 2*f - v*r, 2*r + 12 = -4*f - f. Calculate the remainder when 3/((-6)/f) + 38 is divided by 14. 12 Let v be ...
{ "pile_set_name": "DM Mathematics" }
- 15*l + 22. Suppose r(h) = 0. Calculate h. -3, 162 Let r(p) be the second derivative of -p**5/90 - 31*p**4/54 + 274*p**3/27 + 304*p**2/9 - 2*p - 221. Let r(l) = 0. What is l? -38, -1, 8 Let k(o) = 9*o**4 + 23*o**3 + 38*o**2 + 32*o - 8. Let g(r) = 9*r**4 + 21*r**3 + 36*r**2 + 33*r - 9. Let u(j) = -8*g(j) + 9*k(j). Fact...
{ "pile_set_name": "DM Mathematics" }
d 1 k when four letters picked without replacement from {m: 1, d: 7, t: 5, k: 6}? 105/646 What is prob of picking 3 w and 1 q when four letters picked without replacement from qwwqw? 2/5 What is prob of picking 2 p when two letters picked without replacement from {m: 4, p: 2, d: 3, z: 3, r: 4}? 1/120 Calculate prob of ...
{ "pile_set_name": "DM Mathematics" }
ive of 20928*i**3 - 42464 wrt i? 62784*i**2 What is the third derivative of 983452*g**4 - 666*g**2 + 341? 23602848*g What is the second derivative of 50852*j**2*l*r**3 + 8*j**2*r + 2*j*l*r**3 - 2*j*l*r**2 + 555281*j*l + 2*l*r**2 wrt j? 101704*l*r**3 + 16*r Differentiate -1195365*k**2*o - 1989*k**2 - 134 with respect to...
{ "pile_set_name": "DM Mathematics" }
4, 31015610? -o**2 + 4430809*o - 4 What is the t'th term of 10458812, 10458745, 10458678, 10458611, 10458544? -67*t + 10458879 What is the q'th term of 710811, 1420617, 2130423, 2840229? 709806*q + 1005 What is the f'th term of -24699, -24613, -24529, -24447? -f**2 + 89*f - 24787 What is the q'th term of -1365, -2863, ...
{ "pile_set_name": "DM Mathematics" }
ter: j or 2? 2 Let z = 16 + -17. Let a be (z/(-6))/(42/(-270)). Let t = a + -3/7. Is -2 greater than t? False Let w = 113/4 + -28. Let r = 0.2 - 0.1. Let i = 0.9 + r. Is i <= w? False Suppose 0 = -4*w - 11*w - 345. Which is bigger: -18 or w? -18 Suppose -18 = 3*g + 6*g. Let f be (g/(-3))/(4/128). Which is bigger: f or ...
{ "pile_set_name": "DM Mathematics" }
0.3 in descending order. q, 1/3, 0.3, 0.2 Let f = -89 + 89.5. Let u be (2 - 18/4) + 4. Sort u, -2/5, f, 8 in ascending order. -2/5, f, u, 8 Let l = 93 - 65. Let t = 31 - l. Suppose t*b + 2*x + 5 = 0, -4*b = 5*x + 12 - 3. Put 2, -12, b in ascending order. -12, b, 2 Let i(m) = 42*m - 2. Let j be i(1). Suppose -13*p + 5*...
{ "pile_set_name": "DM Mathematics" }
ast common multiple of (2 - 0)*5/2 and 2? 10 Let b(g) = -2*g**3 - 3*g**3 - g**2 + 4*g**3 + g. Let r(q) = -q - 3. Let o be r(-1). What is the smallest common multiple of b(o) and 7? 14 Let v be (3 + -3)/(1 + -2). Let t be v/1 + 2148/21. Let b = t + -15717/154. Calculate the common denominator of -11/14 and b. 154 Let c ...
{ "pile_set_name": "DM Mathematics" }
64367 to the power of 1/7, to the nearest integer? 6 What is 1919590 to the power of 1/8, to the nearest integer? 6 What is 1104295 to the power of 1/7, to the nearest integer? 7 What is the cube root of 639284 to the nearest integer? 86 What is the cube root of 367737 to the nearest integer? 72 What is the third root ...
{ "pile_set_name": "DM Mathematics" }
Suppose -2*z**5/17 + 137384*z**4/17 - 6041900*z**3/17 + 3537272*z**2 + 138942494*z/17 + 72629584/17 = 0. What is z? -1, 23, 68648 Factor -3*q**3 + 85690668*q**2 - 171381324*q. -3*q*(q - 28563554)*(q - 2) Solve -2*r**4/13 - 586*r**3 - 7310930*r**2/13 - 107548518*r/13 + 388649772/13 = 0. -1897, -18, 3 Factor -2*v**3/5 + ...
{ "pile_set_name": "DM Mathematics" }
245 Let l(i) = 14754*i**2 + 132794*i + 48. Give l(-9). -24 Let g(k) = 4563*k - 41045. Calculate g(9). 22 Let k(v) = -119*v**2 + 5148*v - 1342. Give k(43). -9 Let f(w) = -w**2 + 6580*w + 46163. Determine f(-7). 54 Let x(w) = 1865*w + 186502. What is x(-100)? 2 Let p(v) = -8786*v + 210868. Give p(24). 4 Let m(r) = -2*r**...
{ "pile_set_name": "DM Mathematics" }
+ 3) + v - 4*v + 2*v + (3*v - 5*v + 0*v)*(8 - 6 + 13). -32*v Expand (-2*v + 0*v + 3*v)*(0*v**2 - 2*v**4 + 0*v**2) - 2*v**5 + 4 - 4 + (v + 2*v + 0*v)*(-6*v**4 + 9*v**4 - 9*v**4). -22*v**5 Expand (5*c + 3*c - 2*c)*(0 + 3 - 5) + (-2 + 4 + 0)*(-c + 5*c + 5*c). 6*c Expand (d**3 + 2*d**3 - 6*d**3)*(2 - 1 + 0) + d**3 + 14*d*...
{ "pile_set_name": "DM Mathematics" }
mplify 6*(1*sqrt(612) - sqrt(612)) - (sqrt(17) + sqrt(51)/sqrt(3) + -2 + -4). -2*sqrt(17) + 6 Simplify (1*-2*sqrt(170))/(-2*sqrt(90)). sqrt(17)/3 Simplify sqrt(21)/(sqrt(7) - sqrt(63)) + -4 + 2. -2 - sqrt(3)/2 Simplify ((sqrt(76) + 1*sqrt(76))*1)/(sqrt(48)/(sqrt(12)*-2)). -4*sqrt(19) Simplify 3 + -6*(sqrt(11)*1 + 3). -...
{ "pile_set_name": "DM Mathematics" }
factors of x. 2, 71 Suppose -d - 2*t + 29 = 4*d, 0 = 2*t - 4. Let b(r) = 8*r**3 - 5*r**2 - 8*r - 19. List the prime factors of b(d). 2, 3, 17 Let i(a) = -96*a - 163. Let t = -414 + 408. List the prime factors of i(t). 7, 59 Let y be (-8)/10 - (-722)/190. Let h(i) = -43*i + 5. Let b be h(y). Let g = -78 - b. What are t...
{ "pile_set_name": "DM Mathematics" }
/(-24)). Solve -10 = b - r*b for b. 5 Let d = 2 + -1. Suppose -6*g + 64 + 92 = 0. Suppose -5*u = -3*l - g, -5*l + 2 + 13 = 0. Solve -3*v - u + d = 0 for v. -2 Let l be (0 + (0 - 2))*1. Let f be 2 + (2 - 0) + l. Let a(h) = h**3 - h - 1. Let b be a(f). Solve -33 = -b*k - 13 for k. 4 Let x(t) = t**3 - 6*t**2 + 4*t + 7. Le...
{ "pile_set_name": "DM Mathematics" }
True Is 19565437 composite? False Is 3480089 composite? True Is 2560469 a composite number? True Is 8803877 a composite number? False Is 5715949 a composite number? False Is 45473917 composite? False Is 4058311 a composite number? True Is 2007581 composite? True Is 29829587 composite? False Is 8128621 a composite numb...
{ "pile_set_name": "DM Mathematics" }
d smallest value? (a) 1/7 (b) -4/11 (c) p a Suppose 3*q + 1 = 2*q. Let v(g) = -40*g**2 + 207*g - 35. Let i be v(5). Which is the third smallest value? (a) -0.09 (b) 1/9 (c) q (d) i d Let k = 25247 + -25192. Let j = -0.5 + 0.3. Which is the third biggest value? (a) k (b) 5 (c) j c Let g = -10308 - -10313. Whic...
{ "pile_set_name": "DM Mathematics" }
-2*j**2 + 2 + 42*j**3 + 20*j**3 - 68*j**3 + 33*j**3 - 1 to the form d*j**3 + t*j**2 + h*j + i and give i. 1 Rearrange 2*w + 10*w**2 - w**2 - 5*w**2 + 4*w**2 + 12*w**2 to o + q*w + r*w**2 and give r. 20 Express -266*w - 2 + 426*w + 251*w + 370*w + 1 in the form s + l*w and give s. -1 Rearrange -1 + s**3 - 77902*s**2 + ...
{ "pile_set_name": "DM Mathematics" }
70.26754l to millilitres. 70267.54 What is six fifths of a century in decades? 12 What is thirty-three fifths of a century in years? 660 How many millilitres are there in 21/8 of a litre? 2625 What is 333651.9ml in litres? 333.6519 How many milligrams are there in 54584.99t? 54584990000000 Convert 54.647 millilitres to...
{ "pile_set_name": "DM Mathematics" }
is the nearest to -11? (a) 17 (b) 3/7 (c) -4 c Which is the nearest to 198/67? (a) 1 (b) 0.2 (c) -3 (d) 3 (e) 4 d Which is the nearest to -0.08? (a) -4 (b) 3/7 (c) -22 (d) -106 b Which is the nearest to -0.1? (a) -2/15 (b) 0.3 (c) 7.18 (d) 30 a What is the nearest to 0.1 in 0.2, 0.016, 5/8, -3, -0.4? 0....
{ "pile_set_name": "DM Mathematics" }
+ 4))*(33*b**3 - 14*b**3 + 67*b**3). -258*b**4 Expand (c + 0*c + 0*c)*(4 - 3 - 10)*(67 - 60 - 32). 225*c Expand (-1 + 4 - 5)*(-d - 2 + 2) - 3 + 3 - d + (-2 - 8*d + 4 + 12*d)*(-42 - 116 - 121). -1115*d - 558 Expand (24 - 1013*b**2 + 5 + 1006*b**2)*(-b**2 + 2 - 2) + (2*b + b - 5*b)*(-5*b**3 - 8*b**2 + 8*b**2). 17*b**4 - ...
{ "pile_set_name": "DM Mathematics" }
**2 Let m(c) = -432*c. Let y(a) = -10*a**2 + 2*a. Calculate y(m(x)). -1866240*x**2 - 864*x Let q(b) = 2*b. Let n(t) = -4*t - 5. Let m be n(-4). Let x(l) = -4*l**2 - 19*l + 11. Let h be x(-5). Let j(p) = h*p - m*p + 9*p. Give q(j(c)). 8*c Let v(t) = -94*t - 1 + 189*t - 94*t. Let c(w) = -3 + 7*w - 3*w + w. Let k(q) = -c(...
{ "pile_set_name": "DM Mathematics" }
+ -56 + 63). What is the closest to 0.05 in -1, l, -2/7? l Let q = -9.9 + 10.3. Let y be 29/10 - (-4 + 7). Which is the nearest to -2? (a) q (b) y (c) -3/7 c Let d be (-8)/3*75/(-10) - 1. Suppose 16*r - 18 = d*r. Which is the nearest to 0.1? (a) r (b) -0.4 (c) -4/3 b Suppose 52*a = 110*a - 290. What is the neares...
{ "pile_set_name": "DM Mathematics" }
488*b/5 = 0? -31926, -1, 0, 4, 11 Find n, given that -7442*n**4 + 858026*n**3 - 45261409*n**2/2 - 121108260*n - 148264200 = 0. -287/122, 60 Factor 9759*x**2 - 136599*x - 378. 3*(x - 14)*(3253*x + 9) Determine d so that 4*d**4 - 1809*d**3 + 105489*d**2 + 110936*d - 214620 = 0. -2, 1, 70, 1533/4 What is o in -4*o**5 - 49...
{ "pile_set_name": "DM Mathematics" }
- 3*o - 18. Let p be (-1058)/(-115) + ((-4)/6 - 14/(-30)). What is z(p)? -45 Let v(q) be the first derivative of 0*q + 3*q - 1 - 2*q + 3*q**2. Let y = 784870 + -784872. Determine v(y). -11 Suppose 0 = 5*h - 2*w - 43, -5 = -3*h - 6*w + 2*w. Let n(l) = l**3 - 6*l - 3*l - h*l**2 + 15*l. Let v be (-2)/4*(-7 + -5). Calculat...
{ "pile_set_name": "DM Mathematics" }
t j = 20 + -26. Let f be (-40)/(-105)*j/(-4). Which is the closest to 1/2? (a) -3/7 (b) f (c) 4 b Let s be (1/7)/(4/14). Let i be -1*96/(-18) + -7. Let h be -1 + 2 + (1 - 6). Which is the nearest to h? (a) 4 (b) s (c) i c Suppose 0 = 2*x - 0*x - 2. Suppose -4*w + 4*s + 4 = 0, s + 17 - 4 = 4*w. Suppose -x + 17 = -...
{ "pile_set_name": "DM Mathematics" }
+ 0*h)*(48 + 16 - 15) as w + n*h and give w. 0 Rearrange ((f - f + 2*f)*(2 + 2 - 2) + 11*f - 63*f - 105*f)*(2*f + 1 - 1)*(1 + f - 1) to z*f + g*f**2 + o + c*f**3 and give c. -306 Express (-x**3 + 3*x**3 + 3*x**3)*(-7 + 0 + 4 + (1 + 1 + 0)*(3 - 30 + 0)) as o + m*x**3 + q*x**2 + v*x and give m. -285 Rearrange (0 - 3 + 2)...
{ "pile_set_name": "DM Mathematics" }
hat is the remainder when 47 is divided by (-3 - (4 - 1)) + 23? 13 Suppose 0 = -3*z - 2*l + 20, 4*z - 19 - 7 = -2*l. Calculate the remainder when (z - 24)/(-6)*(-292)/(-6) is divided by 37. 35 Let i(t) = t**2 + 3*t + 15. Let d = 41 + -41. Calculate the remainder when i(d) is divided by 4. 3 Suppose -1625 = 9*w - 34*w. ...
{ "pile_set_name": "DM Mathematics" }
c)? 2*c**2 Let m(o) = o**3 + 6*o**2 - 7. Let g(d) be the third derivative of d**6/60 + 11*d**5/60 - 13*d**3/6 + d**2. Suppose -2*p + 9 + 3 = 0. Calculate p*g(t) - 11*m(t). t**3 - 1 Let g(i) = -i**3 + 8. Let l(h) = 2*h**3 - 9. What is -4*g(o) - 3*l(o)? -2*o**3 - 5 Let c(r) = -16*r. Let b(w) = w. What is -2*b(m) - c(m)? ...
{ "pile_set_name": "DM Mathematics" }
+ 4*w**2 + 6. Let m(q) = -7*q**3 - 7*q**2 - 6. Let x(h) = -7*h**3 - 7*h**2 - 7. Let j(d) = -4*m(d) + 5*x(d). Calculate -6*j(s) - 11*r(s). -2*s**3 - 2*s**2 Let c(n) = n**3 - n - 1. Let i(v) = 5*v + 1. Let t(y) = -y. Let g(j) = -i(j) - 4*t(j). Give -5*c(w) + 5*g(w). -5*w**3 Let h(f) = 11*f**3 + 2*f**2 + 114*f + 3. Let m(...
{ "pile_set_name": "DM Mathematics" }
- 528 = -77*k. Calculate the greatest common divisor of 10110 and k. 6 Let o = 6 - 10. Let b be 23/(69/(-18)) - 3. Let i be (-79)/b + o/(-18). Calculate the greatest common divisor of i and 45. 9 Suppose 7*i = -20 + 62. Suppose -502 = -i*m + 74. Suppose 327 = 7*p + m. Calculate the greatest common divisor of p and 11. ...
{ "pile_set_name": "DM Mathematics" }
f be -1*(-1*6)/(-1). Let l = -4 - f. Suppose j + 3*j - l*b - 16 = 0, -3*j - 2*b + 5 = 0. Solve j = 4*q - 5 for q. 2 Let o(z) = -2*z**2 - 2*z + 1. Let n be o(-2). Let w be n/(-3)*(0 + 0). Suppose 2*s - 4*f + 6 = w, 0 = -3*s + 6*f - f - 6. Solve 0 = -s*x + 7*x for x. 0 Let f(g) = -g**2 - 5*g + 8. Let u be f(-6). Suppose...
{ "pile_set_name": "DM Mathematics" }
). -30 Let t(r) = -r**3 + 49*r**2 + 43*r - 43. What is t(50)? -393 Let l(y) = -y**3 + 17*y**2 - 53*y - 7. Calculate l(13). -20 Let q(d) = 2*d**3 - 142*d**2 + 138*d + 126. Calculate q(70). -14 Let o(j) = -30*j + 2615. What is o(92)? -145 Let p(a) = -4*a - 82. What is p(-23)? 10 Let s(g) = 2*g**2 - 2*g - 3124. Calculate ...
{ "pile_set_name": "DM Mathematics" }
tive. u**(-69/2) Simplify ((d**(-2/5)/d)/d*d*d**(-21))/((d**15*d*d)/d*d**(1/7)) assuming d is positive. d**(-1349/35) Simplify v/(v/v**15)*v*v*v/v**20*v*v**(6/7)*v**(-12)*v assuming v is positive. v**(-78/7) Simplify (p*p**(-1/5)/p*p*p)/(p/(p*p*p**(-2/31)/p)*p)*(p**(1/10)/p)/p**(2/3) assuming p is positive. p**(-773/93...
{ "pile_set_name": "DM Mathematics" }
hq when three letters picked without replacement from {q: 5, d: 4, c: 1, t: 2, h: 2}. 5/273 Four letters picked without replacement from svosvvoudsvndosvoduo. Give prob of sequence nvos. 5/5814 Three letters picked without replacement from ubugbxubmbx. What is prob of sequence mxg? 1/495 Calculate prob of sequence eaa ...
{ "pile_set_name": "DM Mathematics" }
nce zbbz when four letters picked without replacement from {a: 2, z: 6, i: 2, b: 2}? 1/198 What is prob of sequence jtj when three letters picked without replacement from tvjjvjvvptjvtevv? 3/280 Two letters picked without replacement from {g: 1, p: 1, j: 1, l: 1, z: 1}. What is prob of sequence pj? 1/20 Four letters pi...
{ "pile_set_name": "DM Mathematics" }
(17) - sqrt(612)*-2). 2 + 18*sqrt(17) Simplify (sqrt(88)*-1*6)/(sqrt(8) - 3*(sqrt(8) + sqrt(32))). 3*sqrt(11)/4 Simplify (((sqrt(171) - (sqrt(171) + sqrt(171) + -3*(-1*sqrt(171) + sqrt(171) - sqrt(171) - sqrt(171)) - sqrt(171))) + sqrt(171))/(sqrt(9)*-2*-6))**2. 475/144 Simplify -5*sqrt(35)/sqrt(7) + 3 + 3*sqrt(5). -2*...
{ "pile_set_name": "DM Mathematics" }
hich is greater: 0 or -22/7401? 0 Which is smaller: -83 or 13? -83 Are 13 and 40/41 non-equal? True Is 0 at least 18? False Which is smaller: -27 or -32? -32 Do -88 and -89 have the same value? False Which is bigger: 7/4 or -887? 7/4 Is 9796 greater than 2/7? True Is -1/4 at least -2/3? True Are 0.3 and -0.97 equal? Fa...
{ "pile_set_name": "DM Mathematics" }
/(-10))/(45/525*(-21)/9)? 43 What is 296/(-962)*5824/(-28)? 64 Calculate ((-1)/(-4))/(-28*(-105)/7840)*-9. -6 Calculate ((-10)/(-30)*3*4)/((1210/165)/11). 6 Evaluate (42/28)/((24/(-40))/(4/(-245))). 2/49 What is the value of (-1*40*373/(-599784))/((-5)/6)? -2/67 (((-3)/(-9))/(1860/3348))/(5/(-625)) -75 What is (-11)/((...
{ "pile_set_name": "DM Mathematics" }
)*(-3 + 3 + 1 - 4 - 1 + 0 + (0 + 2 - 3)*(3 - 1 + 0) - 2 + 2 - 1). 21*s**3 Expand (0 + 2*f + 0)*(-f**3 - 4*f + 4*f) - 4*f**4 + 0*f**4 + 2*f**4 + (-f**2 - f**2 - f**2)*(-2*f + 2*f + 3*f**2) - 2*f**3 - 2*f**4 + 2*f**3 + 2 - 2 + f**4. -14*f**4 Expand (-44*k**2 + 322*k - 322*k)*(k - 6*k + 3*k + (-1 - 2 + 5)*(-k - 4*k + 4*k)...
{ "pile_set_name": "DM Mathematics" }
nder when 178605 is divided by 39. 24 Calculate the remainder when 62812 is divided by 29. 27 What is the remainder when 1798 is divided by 216? 70 What is the remainder when 739083 is divided by 12318? 3 Calculate the remainder when 54558 is divided by 40. 38 Calculate the remainder when 30464 is divided by 443. 340 W...
{ "pile_set_name": "DM Mathematics" }
288, -3286, -3284, -3282, -3280? -3278 What comes next: -406, -816, -1226, -1636, -2046, -2456? -2866 What is next in 21, 48, 85, 126, 165? 196 What is next in 10, 13, 18, 25, 34, 45, 58? 73 What is the next term in -38, -31, -20, -5? 14 What comes next: -141, -167, -203, -255, -329, -431? -567 What is next in 6, -37, ...
{ "pile_set_name": "DM Mathematics" }
-12)). Let g be -3 - (-3 + z - 0). Is (-3005)/(-4) - g/(-8) a composite number? False Suppose 0 = x - 9 - 52. Let a = x - 144. Let u = a + 122. Is u a prime number? False Let n(f) = 807*f - 40. Let b(a) = -538*a + 27. Let t(h) = -7*b(h) - 5*n(h). Is t(-4) composite? False Suppose 0*b + 4*b - 4*q = 54376, -5*q + 13576 =...
{ "pile_set_name": "DM Mathematics" }
Let w(l) = -l**3 + 12*l**2 + 4*l + 5. Let a(j) = -2*c(j) + 5*w(j). Give a(f). -5 Let a(b) = -b + 19. Let k be (-96)/(-480) - (1 + (-49)/5). Calculate a(k). 10 Let c = -22 + 25. Let d(b) = 9*b**2 - 9*b - 13. Let v(t) = 4*t**2 - 4*t - 6. Let h(o) = -3*d(o) + 7*v(o). Calculate h(c). 3 Let x = 518 - 508. Let v(f) = -f**2 ...
{ "pile_set_name": "DM Mathematics" }
1323/54)/(-7)*((-60)/(-189))/(-1). 10/9 What is (142/(-1065))/(854/3660)? -4/7 Calculate (-77)/(-28)*-4*86/(-86). 11 What is ((-18284)/(-5224))/(14/144)? 36 What is (4331*139/29607)/(-3*(-2)/18)? 61 What is the value of (30/9)/(2000/300)*7*8? 28 Evaluate 105164/862*1/(-2). -61 What is the value of 1270/2540*1*-130? -65...
{ "pile_set_name": "DM Mathematics" }
14831965/17 396045340 divided by -99011335 -4 What is 7212 divided by 224? 1803/56 -211283 divided by 103 -211283/103 What is -208981296 divided by 5708? -36612 Divide 24781 by -7. -24781/7 Calculate 0 divided by -143802674. 0 What is -36561365 divided by 5? -7312273 Divide 112164 by -5364. -9347/447 13125325 divided ...
{ "pile_set_name": "DM Mathematics" }
(d) be the first derivative of -21*d**2/2 - 5*d + 7. Is i(-16) composite? False Let r = 366 + -89. Let i be (-2 - -4)*(-34)/(-4). Suppose 3*u - r = -5*h, -u + 102 = -2*h + i. Is u a prime number? True Let q = 31 + -26. Suppose b - 5456 = -8*x + q*x, -x = 3*b - 1832. Is x a prime number? False Suppose 24 = 3*v - 0. Let ...
{ "pile_set_name": "DM Mathematics" }
o the power of 1/3, to the nearest integer? 6 What is 15587 to the power of 1/2, to the nearest integer? 125 What is 8701 to the power of 1/3, to the nearest integer? 21 What is 545 to the power of 1/2, to the nearest integer? 23 What is 1110 to the power of 1/2, to the nearest integer? 33 What is 513 to the power of 1...
{ "pile_set_name": "DM Mathematics" }
0*a + 3*m = 5*a + 121, -2*a + 3*m - 52 = 0. Let i = -21 - a. Solve 8 = -2*f + c, 0 = -i*f + 6*f - 5*c + 16 for f. -4 Let j = 14 + -13. Solve -2*f - 3*i - j = 0, 2*f - 6*f + 3*i - 29 = 0 for f. -5 Suppose -282 + 157 = -5*i. Solve 4*m - 5*z - 29 = -0*z, 5*z + i = 0 for m. 1 Let g(r) = 10 - 30*r + 13*r + 18*r. Let s be g...
{ "pile_set_name": "DM Mathematics" }
n base 7, what is -1161 + 6? -1152 In base 15, what is -1 + ab7? ab6 In base 11, what is -230 - 20? -250 In base 12, what is 2 - b9? -b7 In base 9, what is 477 + -18? 458 In base 6, what is -1 - -2424? 2423 In base 8, what is -1000 + 0? -1000 In base 12, what is -23 - -189? 166 In base 10, what is 2 - 6110? -6108 In ba...
{ "pile_set_name": "DM Mathematics" }
ppose -175*r = -181*r - 396. Let x = -64 - r. Solve -2*z - 10 = -x*c - z, 3 = 5*c + 3*z for c. 3 Suppose 0 = -5*p - 5*d + 10, -17*d + 6 = 2*p - 14*d. Solve 4*s - 16 = p, -54*r + 58*r + 2*s - 4 = 0 for r. -1 Suppose 14*h - 15*h = -2. Suppose h*a + 4 = -c, -c + 7*a = 5*a + 4. Let p be c - 4*(-3)/3. Solve p = -5*t - 5*m +...
{ "pile_set_name": "DM Mathematics" }
**2 - 2*j - 1. Let z(c) = -13*c**2 - 7*c - 3. Suppose -9 = 3*w - v - 0*v, 2*w + v + 1 = 0. Let g be 1/((-12)/(-24)*w/(-7)). Give g*x(i) - 2*z(i). -2*i**2 - 1 Let f(a) = 14027*a**2 - 16. Let w(j) = -589134*j**2 + 676. What is -169*f(l) - 4*w(l)? -14027*l**2 Let d(u) be the third derivative of -u**5/20 + u**4/8 + u**3/6 ...
{ "pile_set_name": "DM Mathematics" }
f 4595531 to the nearest integer? 46 What is the third root of 662218 to the nearest integer? 87 What is 14121871 to the power of 1/2, to the nearest integer? 3758 What is 6069940 to the power of 1/2, to the nearest integer? 2464 What is 6591032 to the power of 1/2, to the nearest integer? 2567 What is 1771296 to the p...
{ "pile_set_name": "DM Mathematics" }
3/17 Calculate (1122/121)/((-87)/(-319)). 34 Evaluate (-8130)/(-246) - (4 - -29). 2/41 Calculate 14873/834 - 1/(-6). 18 Evaluate -3*((-32)/272 - 49/17). 9 Calculate (-1)/(((-18)/8)/(-1) - 246/123). -4 Evaluate (-4)/(-3)*(-4)/(-24) + (-920)/(-72). 13 Calculate (-13 - 1421/(-119)) + -2*(-3)/102. -1 What is the value of ...
{ "pile_set_name": "DM Mathematics" }
)/(-18). Which is the nearest to 2/9? (a) q (b) l (c) 0.4 a Let q = -398/87 + 12686/2697. Which is the nearest to 2/19? (a) q (b) -4 (c) -1/11 a Let z be 1 - (121/143 - 4/(-26)). Which is the nearest to -1? (a) 28 (b) z (c) 1/9 (d) 3/2 b Let l be (-224)/(-1344)*(0 + -1). Which is the closest to 34? (a) 5 (b...
{ "pile_set_name": "DM Mathematics" }
e q. 25 Rearrange 4 - 95193*n**2 + 54*n + 95169*n**2 + 16*n to y*n + r + b*n**2 and give r. 4 Express 3 - 430*a**2 + 256*a**2 + 225*a**2 as z*a + r*a**2 + g and give r. 51 Rearrange -101*l**3 + 130 + 17*l**2 - 132 + 43*l + 99*l**3 to the form b*l**2 + t*l**3 + w + i*l and give w. -2 Express -28 - 139 + 4*l - 73 in the ...
{ "pile_set_name": "DM Mathematics" }
0 Convert 938.0543 tonnes to kilograms. 938054.3 What is sixty-nine halves of a micrometer in nanometers? 34500 How many minutes are there in 71928.1 weeks? 725035248 How many millilitres are there in 81381.96l? 81381960 How many centimeters are there in 0.0370359nm? 0.00000000370359 How many hours are there in 21/2 of...
{ "pile_set_name": "DM Mathematics" }
+ 1)**2/3 Let k be (3 - 2) + -3 - 65/(-30). Suppose 1/6*o - 1/6 - k*o**3 + 1/6*o**2 = 0. Calculate o. -1, 1 Determine i, given that -i - 3*i + 19*i**4 - 13*i**3 - 19*i**2 + 7*i**5 + 10*i = 0. -3, -1, 0, 2/7, 1 Suppose -1/3*h - h**2 + 0 - h**3 - 1/3*h**4 = 0. What is h? -1, 0 Let j be 1*(-3 - -1)*-2. Let i be (-48)/(-2...
{ "pile_set_name": "DM Mathematics" }
remainder when 327324 is divided by 39. 36 Calculate the remainder when 7419 is divided by 53. 52 What is the remainder when 1769 is divided by 137? 125 Calculate the remainder when 29821 is divided by 9764. 529 Calculate the remainder when 217929 is divided by 163. 161 What is the remainder when 6729 is divided by 33...
{ "pile_set_name": "DM Mathematics" }
t p(n) be the first derivative of n**7/2940 - n**5/140 + n**4/42 + 2*n**3 + 8. Let h(w) be the third derivative of p(w). Factor h(a). 2*(a - 1)**2*(a + 2)/7 Let v(f) = 1. Let o be 1 + -1 - 21 - 3. Let c(d) = 12*d - 24. Let x(y) = o*v(y) - c(y). Let n(h) = h**2 - 13*h. Let i(k) = -4*n(k) + 5*x(k). Solve i(m) = 0. -2, 0 ...
{ "pile_set_name": "DM Mathematics" }
et m be (-704)/(-10) - 2/5. Let u(h) = 2*h - 14. Let o be u(12). Calculate the greatest common divisor of m and o. 10 Let v = 66 - 52. What is the greatest common divisor of v and 35? 7 Let v(t) = -t**3 - 7*t**2 - t - 5. Let h be v(-7). What is the highest common divisor of h and 6? 2 Suppose -8*a - 98 = -9*a. What is ...
{ "pile_set_name": "DM Mathematics" }
o, -5*o = 4*c - 5*c + 12. Suppose 5*a = -n + 12, 3 + 1 = c*a. Solve x*p + 4 = -n*p for p. -2 Let y = 228 - 215. Solve y*o + 16 = 9*o for o. -4 Let h be 11/(-2)*(0 + -4). Let f = h + -19. Solve -f*n + 8*n + 15 = 0 for n. -3 Suppose -15 = -5*x - f, -2*x - 7 = 3*f - 0*f. Let y be (-36)/(-10) + x/10. Solve -p = y*p for p. ...
{ "pile_set_name": "DM Mathematics" }
+ 1 = 2*j + 18. Suppose -4*z = -g + p, 4*g - 30 = 4*z + 2. What are the prime factors of g? 3 Let w(r) = r**3 + 3*r**2 - 8*r + 2. Let s(h) = 2*h**3 + 2*h**2 - 9*h + 3. Let c(g) = -2*s(g) + 3*w(g). Let n be c(4). What are the prime factors of 1/4 - 22/n? 3 Suppose 37 = 2*i - 11. Suppose 4*w = 2*c + 6 - i, 5*c = -5*w + ...
{ "pile_set_name": "DM Mathematics" }
5). 7 Let x = -420 + 423. Let g(p) = 9*p**2 + p**x + 3 + 1217*p - 1205*p + 7. Give g(-8). -22 Let v(r) = 2*r**3 - 61*r**2 + 28*r + 63. Suppose 12*y - 6300 = -127*y - 71*y. Calculate v(y). 3 Let g(n) = -n**3 + 28*n**2 - 51*n - 28. Let x be 145152/5568 - (-4)/(-58). Determine g(x). -2 Let y(u) = u**2 - 34*u + 282. Let k ...
{ "pile_set_name": "DM Mathematics" }
et c be 3/(-15) + (-11)/(-5). What is the derivative of -c*b**3 - 2 + j + b**3 wrt b? -3*b**2 Suppose -s + 10 = 7. Let o(n) be the second derivative of -1/2*n**2 - s*n + 0*n**3 - 1/10*n**5 + 0*n**4 + 0. Differentiate o(i) with respect to i. -6*i**2 Let y(f) = -7*f + 5. Let l(u) = 8 - 3*u - 10*u + 1. Let j(x) = 4*l(x) -...
{ "pile_set_name": "DM Mathematics" }
. Let p be (-1)/(1 + (-6)/b). Solve -d + p - z = 0 for d. -4 Let d(k) = k**3 - k. Let s(q) = -4*q**3 - q**2 + 2*q + 1. Let t(h) = -5*d(h) - s(h). Let u be t(2). Suppose 0*z = z - u. Solve -x - 4 = z for x. -5 Let t be -3 - (0 + -9 + 1). Suppose -73 = -t*c + 22. Solve 5*h - 6 = c for h. 5 Let g be 2/(-3) - -13*125/(-15)...
{ "pile_set_name": "DM Mathematics" }
15*k**2 + 2*k + 2 Let l be (-6)/4*8/12. Let z(o) = 3*o - 3. Let a(x) = x. Determine l*a(f) + z(f). 2*f - 3 Suppose -3*v - 22 = 4*l, -2*v = -7*l + 4*l - 8. Let k = -1 - 6. Let a(x) = -4*x**2 + 7. Let y(u) = u**2 - 2. Determine k*y(n) + v*a(n). n**2 Let l(j) = -j. Let d = -13 + 8. Let f be (-2)/(2/d) + -2. Let b(r) = r -...
{ "pile_set_name": "DM Mathematics" }