text
stringlengths
270
8.19k
meta
dict
7338, 9219, 11130, 13077? d**3 + 1820*d - 6 What is the h'th term of 15, 126, 309, 564, 891, 1290? 36*h**2 + 3*h - 24 What is the g'th term of -247, -234, -207, -160, -87, 18, 161? g**3 + g**2 + 3*g - 252 What is the s'th term of -3, -13, -27, -45, -67, -93, -123? -2*s**2 - 4*s + 3 What is the i'th term of -7525, -7517...
{ "pile_set_name": "DM Mathematics" }
he h'th term of 1416, 955, 486, 9? -4*h**2 - 449*h + 1869 What is the s'th term of -9108, -17812, -26516? -8704*s - 404 What is the h'th term of 1477948, 2955896, 4433844, 5911792, 7389740? 1477948*h What is the d'th term of 2, 981, 3566, 8537, 16674, 28757, 45566, 67881? 130*d**3 + 23*d**2 - 151 What is the i'th term ...
{ "pile_set_name": "DM Mathematics" }
ng j is positive. j**(-209/1313) Simplify ((((v**0*v)**(-11))**(-37))**(-35/6))**(-6/7) assuming v is positive. v**2035 Simplify ((b/(b/((b*b**14*b*b)/b)*b)*(b*b*b**(3/14))/b)/((b*b**(-11))/b**(-8)))**0 assuming b is positive. 1 Simplify ((h**(-10))**(21/4)*h**(-13)/((h*h*h**25/h)/h))**(-4/11) assuming h is positive. h...
{ "pile_set_name": "DM Mathematics" }
s the derivative of -161*x + 12 + 161*x + 10*x**3 wrt x? 30*x**2 Let w = 14 - 8. What is the third derivative of 0*s**3 + 2*s**w + 0*s**3 + s**2 wrt s? 240*s**3 Let j = -31 + 22. Let q be j/(-3) + (-3 - -2). Find the first derivative of -4 + r**2 - 3*r**q + r**2 + 2 wrt r. -2*r Let s be ((-2)/(-5))/((-3)/(-15)). Let n ...
{ "pile_set_name": "DM Mathematics" }
-66, 0.3. -66, -14/3, -2/9, 0.3, 5 Sort 4, 3, 2223, 5 in decreasing order. 2223, 5, 4, 3 Put 1, 2/13, 0.07713, 0, -3 in decreasing order. 1, 2/13, 0.07713, 0, -3 Put 3, 4, -5, -6, 1, 54 in decreasing order. 54, 4, 3, 1, -5, -6 Sort 10, 5, -1, -10, 4, -331. -331, -10, -1, 4, 5, 10 Sort 2/9, -6201, 2/27 in ascending ord...
{ "pile_set_name": "DM Mathematics" }
*q - 87*q**3 + 86*q**3 - 9*q**2 + 4*q**4 as g*q**2 + z*q**3 + a + w*q**4 + i*q and give z. -1 Rearrange 3 + 0*g + 33*g**2 + 13*g**2 - 35*g**2 + 0*g to the form c*g**2 + q*g + w and give w. 3 Express -24*n**2 - 268*n**2 - 104*n**2 in the form x + s*n**2 + h*n and give s. -396 Express 4*v - 62490 + 2*v**2 + 62492 - 2*v +...
{ "pile_set_name": "DM Mathematics" }
4. Round a to 3 dps. -0.009 Let t(c) = 6*c + 4. Let b be t(-4). Let i be (471/(-2))/(3/b). What is i rounded to the nearest 100? 1600 Let f be 34/10 - 12/(-20). Suppose z + 5*r = -285, z - f*r = -r - 325. What is z rounded to the nearest 100? -300 Let i = -1977 + 1976.7699. Let w = -0.211 - i. Let f = w - 0.01. What is...
{ "pile_set_name": "DM Mathematics" }
erms in -1593*n - 1579*n - 1581*n - 1143*n**2 - 1579*n + 6332*n. -1143*n**2 Collect the terms in 18450*n - 2771*n + 1268*n. 16947*n Collect the terms in 2937*u**3 - 4043*u**3 + 1097*u**3. -9*u**3 Collect the terms in 92 - 26 - 258 + 98 + 112*v + 94. 112*v Collect the terms in -98703*v**3 + 50114*v**3 + 48715*v**3. 126*...
{ "pile_set_name": "DM Mathematics" }
2? -119 What is next in 20102, 20092, 20058, 19988, 19870, 19692, 19442? 19108 What comes next: -1663, -3329, -4995? -6661 What comes next: -8838, -35350, -79536, -141396, -220930? -318138 What comes next: 2145, 4464, 6781, 9096, 11409? 13720 What is next in 149, 252, 355? 458 What is next in 1466, 11681, 39398, 93365,...
{ "pile_set_name": "DM Mathematics" }
rt(6)). -5*sqrt(3)/9 Simplify (-2*sqrt(68)*6 + sqrt(68) + 1*sqrt(68) + sqrt(68) + 5 + sqrt(68) + 1)**2. -192*sqrt(17) + 4388 Simplify -1*((sqrt(11) + 0)**2 + -4 - (sqrt(704) - 4*sqrt(704)))*5. -120*sqrt(11) - 35 Simplify 1*(1 + (3*-2*sqrt(2736)*-2)**2). 393985 Simplify ((1 + sqrt(45) + -4 - (sqrt(45) + sqrt(45) + (sqrt...
{ "pile_set_name": "DM Mathematics" }
/((o**(-6)*o)/(o*o/(o*o**(-5)*o))) assuming o is positive. o**(97/9) Simplify j**(-5/7)*((j/j**(20/3))/j)/j assuming j is positive. j**(-176/21) Simplify (q**(-3)*q*q*q*q**(-2/13))/(q**(-1))**49 assuming q is positive. q**(635/13) Simplify (q/(q*(q*q**9/q)/q))/q*q*q/(q*q**4/q*q)*q*q*(q**(1/2)/q)/(q**(2/5)/q) assuming q...
{ "pile_set_name": "DM Mathematics" }
en 123305 is divided by 389. 381 Calculate the remainder when 291513 is divided by 233. 30 What is the remainder when 630536 is divided by 71? 56 What is the remainder when 1471 is divided by 274? 101 What is the remainder when 1276 is divided by 425? 1 Calculate the remainder when 234045 is divided by 69. 66 What is t...
{ "pile_set_name": "DM Mathematics" }
sing order. h, 0.1, u, -5 Let x = 0.446 + -0.046. Sort -0.02, x, 1 in increasing order. -0.02, x, 1 Suppose 3*k + 2 = 2*w, -w + 6 = -11*k + 7*k. Let z(g) = g + 2 - 1 + 3. Let p be z(-3). Sort k, p, 4 in decreasing order. 4, p, k Let d be (-122)/14 + (-423)/(-47). Sort 3, d, -0.94 in descending order. 3, d, -0.94 Let w ...
{ "pile_set_name": "DM Mathematics" }
(2/11)*f**(-2/9)))**(3/10) assuming f is positive. f**(-949/660) Simplify (j/(j/(j*j*((j/(j*j/j**(-27)))/j)/j))*j*j)/(j*j**15)*j**(-9)*j**(-3/2)*j assuming j is positive. j**(-103/2) Simplify ((p**(-8)/p)/p**(-14)*p*p*p*(p/p**(-12/11))/p*p*p**(-11)*p)**0 assuming p is positive. 1 Simplify ((l**(-2))**(-7/6)/(l**(-1/2)/...
{ "pile_set_name": "DM Mathematics" }
the units digit of i? 5 Let t(l) = 6*l + 1. Let o(f) = -7*f + 2. Let m(n) = -7*n + 1. Let k(d) = 3*m(d) - 2*o(d). Let x(i) = 5*k(i) + 6*t(i). What is the units digit of x(8)? 9 Let q be -2 + (-3 - -5) - -3. Suppose 3*c - q*b = 2*b + 159, c - 3*b = 49. What is the tens digit of c? 5 Let z be 104/3*6/4. Let n = z - -90....
{ "pile_set_name": "DM Mathematics" }
o + 9 = 3*j - 4, 5*o - 5*j + 35 = 0. Let a be o - (82/(-20))/1. Is a > 0? True Suppose c + 30 = 4*c. Let p(a) = -a**3 - 7*a**2 - 7*a - 8. Let x be p(-6). Let v be x/(3 + 87/(-27)). Are v and c nonequal? True Let b = 9.48 + -10. Let q be 125/(-135) + (-4)/54. Is b at most as big as q? False Let f = 17.9 - 19. Let w = -...
{ "pile_set_name": "DM Mathematics" }
= 0. -212, -1, 0, 1, 52 Suppose 2*l**3/9 - 356*l**2/9 - 616*l + 261072 = 0. Calculate l. -74, 126 Find n, given that 2*n**2 - 832*n - 2514 = 0. -3, 419 Factor -1409938*a**4/3 - 53609328*a**3 - 3612688*a**2 - 243520*a/3 - 608. -2*(a + 114)*(89*a + 2)**3/3 Solve -3*o**3/7 - 1185*o**2/7 + 66603*o/7 - 9345 = 0 for o. -445,...
{ "pile_set_name": "DM Mathematics" }
17? -t**3 + t**2 - 148*t + 15 What is the c'th term of -425, -858, -1291, -1724, -2157, -2590? -433*c + 8 What is the b'th term of -3440, -6880, -10320, -13760, -17200, -20640? -3440*b What is the j'th term of -30, -59, -100, -159, -242? -j**3 - 22*j - 7 What is the o'th term of -60, -62, -70, -90, -128, -190, -282, -4...
{ "pile_set_name": "DM Mathematics" }
*(1/21) assuming k is positive. k**(8/21) Simplify (o/(o**(2/17)*o)*o*o)**(-1/17) assuming o is positive. o**(-32/289) Simplify (r**(-2/5))**(15/7) assuming r is positive. r**(-6/7) Simplify (m/(m*m/m**(-2/7)))**(-27/4)*m**(-8)*m**3 assuming m is positive. m**(103/28) Simplify ((m*((m*m*m/(m**(3/7)/m))/m)/m*m)/m**(-1/3...
{ "pile_set_name": "DM Mathematics" }
te (13*1)/(((-32)/(-416))/((-48)/104)). -78 What is (-8)/12*(-5)/15*-12*414/(-12)? 92 What is ((-18)/8)/(-69*(-132)/12144)? -3 What is the value of ((-1420)/10153)/((-15)/66)? 8/13 What is the value of (45/(-11))/(6776/37268)? -45/2 What is ((2928/720)/61)/(4/(72/(-7)))? -6/35 Calculate 3*40/(-450)*33/2*5. -22 What is ...
{ "pile_set_name": "DM Mathematics" }
s? True Let d = -34 + 34.1. Let w = -0.2 + 1.2. Which is smaller: w or d? d Suppose u - 501 = -2*u. Let t = u + -2173/13. Is t smaller than 1? True Suppose -6*c = -2*c. Is -8/3 > c? False Let c = 10 + -2. Let k be c/2 + -2 + -3. Is 0 < k? False Let o = -130 + 653/5. Let k = 2 - 0. Is o > k? False Let g = -8.84 + 9. Let...
{ "pile_set_name": "DM Mathematics" }
(5 - 74/15). Let l(t) be the second derivative of -a*t**3 + 0 - 1/2*t**2 - 7*t. Let y(k) = -3*k - 1. Determine -2*l(j) + 3*y(j). -3*j - 1 Let z(i) = -2 + 0*i + 4*i - i. Suppose 2*m - 5*m - 33 = 0. Let g(w) = -8*w + 5. Let k(y) = y**2 - 453*y - 6062. Let u be k(-13). Give m*z(o) + u*g(o). -o + 2 Suppose 7539*h + 44 = 7...
{ "pile_set_name": "DM Mathematics" }
. Suppose 0 = -q - 3 + 3. Let l = q - c. What is the units digit of l? 6 Suppose -2*w + 14 + 6 = 4*v, 4*w - 36 = -4*v. Suppose 0 = -2*l + w + 14. What is the tens digit of l? 1 Let w = 36 + -32. Suppose w*j = 4 + 8. Suppose m - 3*v - 57 = 0, -4*m + 5*v = j*v - 208. What is the tens digit of m? 5 Let x(w) = -8*w - 4. Le...
{ "pile_set_name": "DM Mathematics" }
2*z + 5*c = 27 for z. 11 Solve 0 = -3*c - n - 12, -18*c - 75 = -6*c - 5*n for c. -5 Solve -a + 33*i + 57 = 181, 4*i + 3 = 19 for a. 8 Solve l + 3*j - 7 = -11, -2*j = j + 9 for l. 5 Solve -4*v = -3*g + 15, -4*g - 25 + 45 = 0 for v. 0 Solve -344 + 324 = 2*m - 4*k, -5*m - k - 17 = 0 for m. -4 Solve -27 = -2*d - 3*p, 3*d ...
{ "pile_set_name": "DM Mathematics" }
) 1/7 (c) -3/7 (d) q d Let z = -22856 - -22871. Let f be 43/(-66) - 4/22. Which is the nearest to -2/7? (a) 1/2 (b) z (c) f c Let m = -2 - -7. Let v = 59829 + -59834. What is the closest to -1 in v, -9, m? v Let z be (101 - 97)/(-2 - 34). Let r = 0.2 - 0.4. Which is the nearest to z? (a) 0.3 (b) -2 (c) r c Let ...
{ "pile_set_name": "DM Mathematics" }
d smallest value in -2, 114/7, u? u Let f = 2.059 + -17.059. Let y = -10 + -4.8. Let x = f - y. Which is the second biggest value? (a) x (b) 0 (c) -6 a Suppose 0 = -8*g + 53 - 69. Let i be g*(-2)/(-6) + 153/27. Which is the second biggest value? (a) i (b) -7 (c) -17 b Let f = 7 - 5. Let h be 1/((-8)/4) + 0. Let r...
{ "pile_set_name": "DM Mathematics" }
st common divisor of 48 and r. 6 Let i = 9408 + -9312. Calculate the highest common factor of i and 1944. 24 Let c be ((520/75)/(2/(-6)))/(138/(-3795)). What is the highest common divisor of c and 5291? 143 Let a(w) = 17*w - 183. Let o be a(11). Suppose -o*t + 3*s + 311 = 0, -3*s = 5*t - 0*s - 409. Calculate the highes...
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to -1? (a) 0.3 (b) 0.5 (c) -8/3 (d) 10/7 a What is the closest to -0.11 in -8, 1, 0.3? 0.3 What is the nearest to -1 in 5, 0.04, 4, -2/7? -2/7 Which is the nearest to -0.1? (a) 0 (b) 2 (c) 21 a Which is the closest to -1? (a) -1/4 (b) 2/11 (c) 3 (d) 1 a Which is the closest to 0? (a) 0.2 ...
{ "pile_set_name": "DM Mathematics" }
9. Give l(-61). 6 Let i(j) = j**3 + 30*j**2 + 4*j + 118. Give i(-30). -2 Let t(x) = x**2 - 304*x + 7481. Determine t(277). 2 Let i(o) = -73*o - 3480. Calculate i(-48). 24 Let x(a) = 12*a - 218. Calculate x(14). -50 Let q(v) = -4*v**2 + 15*v - 39. Give q(3). -30 Let f(c) = 9*c**2 - 93*c + 27. Calculate f(10). -3 Let u(i...
{ "pile_set_name": "DM Mathematics" }
without replacement from xwdddwdwwadtawwad. What is prob of picking 2 w and 1 t? 3/136 What is prob of picking 1 p and 3 a when four letters picked without replacement from apptaadmmdtc? 2/495 What is prob of picking 1 v and 3 f when four letters picked without replacement from {o: 2, y: 2, f: 8, v: 4}? 8/65 What is pr...
{ "pile_set_name": "DM Mathematics" }
-1 Let w = -5 + 10. Suppose 2*s + 18 = 5*u, s + 2*u = 2*s + 7. Let a(n) = -851*n + 867. Let r be a(1). Solve -w*d = -r + s for d. 3 Suppose -3*j + 5*j - 54 = 0. Solve 5 = -8*t - j for t. -4 Suppose -361*g + 30 = -355*g. Solve -g*r + 1 = -6*r for r. -1 Let v(i) = 2*i**2 + 4 - 16 + 2 + 10*i. Let l be v(-6). Solve 0 = -l...
{ "pile_set_name": "DM Mathematics" }
5*t, -29*o - t - 18 = -28*o. Let s(p) = 12*p**3 + 5*p**2 + 5. Let i(m) = 42*m**3 + 18*m**2 + 18. Determine o*s(v) + 5*i(v). -6*v**3 Let k = 2019 + -4035/2. Let z(n) be the second derivative of 1/3*n**3 + 0 + 5*n - k*n**2. Let u(h) = 3*h - 4. Calculate -3*u(t) + 4*z(t). -t Let n = 107 - 108. Let d(a) be the second deriv...
{ "pile_set_name": "DM Mathematics" }
s the third biggest value in -8, 5, z? -8 Let w be 4/(-50) + 1456/325 + -5. What is the smallest value in w, -0.2, -167? -167 Let v be (0 + 10/(-2))*-1. What is the second smallest value in v, 0.53, 3/2? 3/2 Let x = -279 - -130. Let o = -151 - x. What is the second smallest value in o, -4, -3, 9/10? -3 Let l = 101.2 - ...
{ "pile_set_name": "DM Mathematics" }
387980? -387981 What comes next: 61361, 61510, 61659, 61808? 61957 What is next in 8141, 8136, 8131? 8126 What is next in -8708, -8707, -8708, -8711, -8716? -8723 What is next in 1408, 4347, 9250, 16117, 24948? 35743 What comes next: 8243, 8250, 8235, 8186, 8091, 7938, 7715, 7410? 7011 What is the next term in -86, -23...
{ "pile_set_name": "DM Mathematics" }
4. 24 What is the remainder when 2074 is divided by 9? 4 Calculate the remainder when 228105 is divided by 11. 9 Calculate the remainder when 19605 is divided by 185. 180 Calculate the remainder when 6268 is divided by 273. 262 Calculate the remainder when 4448 is divided by 846. 218 What is the remainder when 3803356 ...
{ "pile_set_name": "DM Mathematics" }
Is 42 a factor of 504? True Does 6 divide 210? True Is 14744 a multiple of 113? False Is 300 a factor of 56052? False Does 32 divide 49792? True Is 135 a multiple of 5? True Is 143 a factor of 715? True Is 23 a factor of 1794? True Is 8428 a multiple of 98? True Is 25625 a multiple of 205? True Is 9 a factor of 429? Fa...
{ "pile_set_name": "DM Mathematics" }
Evaluate (-23)/((-12995)/1356)*(-185)/(-6). 74 ((-196)/(-12))/(3/7*4165/(-5355)) -49 Evaluate 21/(-21)*5/30*-6*13. 13 Evaluate (-36)/48*12/(-216)*-21. -7/8 What is ((-8)/(-11004))/((231/(-3))/1617)? -2/131 What is the value of 2394/(-11970)*10/7? -2/7 What is (33/(-55))/(22/((-2420)/(-1419)))? -2/43 (12/(-10))/((-12)/(...
{ "pile_set_name": "DM Mathematics" }
on denominator of -79/12 and (2/6)/(h/(-165)). 48 Let y(g) = -3*g + 4 - 2*g + 2*g**2 - g**2. Calculate the smallest common multiple of y(6) and 1*4*(-5)/(-2). 10 Calculate the common denominator of 5/(90/(-141)) + 0 and 79/12. 12 Let l = 38549/18 - 2138. Calculate the common denominator of l and 25/9. 18 Let h(d) = -d*...
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 2, m: 2, c: 4, s: 1, u: 5}? 2/91 Four letters picked without replacement from {l: 2, a: 2, q: 4}. Give prob of picking 2 q, 1 a, and 1 l. 12/35 Calculate prob of picking 2 o and 1 h when three letters picked without replacement fro...
{ "pile_set_name": "DM Mathematics" }
ose 5 = -3*z + 26. Let n(k) = k**2 - 3*k - 2. What is the least common multiple of n(5) and z? 56 Let u(i) = i**2 - 3*i + 2. Let h be u(5). Calculate the lowest common multiple of 14 and 16/(-6)*(-63)/h. 14 Let d = 20017/7 + -2867. Suppose -w - i + 7 = -2, -4*w = 5*i - 41. Calculate the common denominator of (62/8)/((-...
{ "pile_set_name": "DM Mathematics" }
- 3 wrt v. -159024 Find the third derivative of 2*d**2*m**3 + 3*d**2*m**2 + 2*d**2*m - d*m**2 - 50*d + 204*m**5 + 268*m**3 + 4*m wrt m. 12*d**2 + 12240*m**2 + 1608 What is the derivative of -130417*j - 121164? -130417 What is the second derivative of 2772*u*x**3 + 118*u*x + 689*u - 38*x**3 - 2*x wrt x? 16632*u*x - 228...
{ "pile_set_name": "DM Mathematics" }
on divisor of c and b? 13 Let u = 7 + -11. Let m(l) = 5*l**2 - 6*l - 4. Let y be m(u). What is the greatest common factor of 20 and y? 20 Let y(n) = -n**2 - 4*n + 2. Let w be y(-5). Let z be 6 - 0/(w + 2). Let r = 38 - 14. What is the highest common divisor of r and z? 6 Let b(j) = -j**3 - j**2 - j + 2. Let h be b(0). ...
{ "pile_set_name": "DM Mathematics" }
5 (c) 5 (d) -0.4 (e) -36 d What is the nearest to 0.8 in 19, 1/13, 2, -0.2? 1/13 Which is the closest to -17? (a) 1/5 (b) 0.1 (c) -0.2 (d) 35 c What is the closest to -2/13 in -5, -622, 1/4, -2? 1/4 Which is the closest to 9998? (a) 1/3 (b) -0.4 (c) -4 a Which is the closest to -12? (a) 2 (b) 2/19 (c) 30 b...
{ "pile_set_name": "DM Mathematics" }
ce qqqq when four letters picked without replacement from {q: 7}. 1 Two letters picked without replacement from kgguggggpguguuggggk. What is prob of sequence kk? 1/171 Three letters picked without replacement from {u: 2, q: 1, m: 5, p: 4, k: 2}. What is prob of sequence qup? 1/273 What is prob of sequence ccm when thre...
{ "pile_set_name": "DM Mathematics" }
le of 52 and 20. 260 What is the common denominator of 163/60 and 35/24? 120 Calculate the smallest common multiple of 42 and 98. 294 What is the common denominator of -34/475 and 29/950? 950 What is the lowest common multiple of 384 and 1392? 11136 What is the lowest common multiple of 147 and 343? 1029 Calculate the ...
{ "pile_set_name": "DM Mathematics" }
Let a be 6*(2 - 34/6). Find the common denominator of a/12 + (9 - 5) and d. 42 Suppose 4*g = 5*g + 2*h + 16, 3*g = h - 13. Find the common denominator of ((-10)/(-24))/(g/(-228)) and 83/8. 24 Let b = -211 + 301. Suppose 0*q = 3*d - 5*q + 50, 5*q - b = 5*d. What is the common denominator of (-8)/d - (-277)/(-30) and -5...
{ "pile_set_name": "DM Mathematics" }
uppose 0 = -2*d - d - 5*v + 38, 12 = d + v. Solve 4*u + 3 = d for u. 2 Let r = -37 + 40. Let h = 1 + 3. Suppose -r*w + 3*c + 23 = -40, -3*c - 81 = -h*w. Solve -4*o - w = 2 for o. -5 Let w(m) = 4*m**3 - 9*m - 5. Let u(c) = 7*c**3 + c**2 - 17*c - 9. Let k(g) = 3*u(g) - 5*w(g). Let t be k(-4). Suppose -4 = r - t. Solve 0*...
{ "pile_set_name": "DM Mathematics" }
r(b)). 9*b**2 Let y(h) = -3*h**2. Let m = -4 - -9. Suppose -2*n + 6*n - 6 = 3*i, 5*i - 19 = -3*n. Let s(w) = w - m*w + i*w**2 + 4*w. Give y(s(z)). -12*z**4 Let o(s) = -s**2. Let j(l) = -3137*l**2. Give j(o(k)). -3137*k**4 Let q(w) = -2*w**2. Let d(k) = 3*k**2 + 21. Calculate d(q(s)). 12*s**4 + 21 Let s(u) = -3 + 2*u + ...
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to -0.3? (a) 2/39 (b) 0.3 (c) 6 (d) -79795 a Which is the nearest to 1? (a) -6 (b) -335 (c) 0.89 (d) -1/7 (e) 3 c Which is the closest to 0? (a) -3 (b) -1365 (c) 6 (d) -7 a Which is the closest to -1/3? (a) -3/2 (b) 1/4 (c) -0.04891 (d) -1/3 (e) 221 d Which is the closest to 1/16? (...
{ "pile_set_name": "DM Mathematics" }
te 1 + 1 + (-5 - -8 - (0 + -4)). 9 What is the value of (3 - 0) + -3 + -4 - (184 + -156)? -32 What is the value of 8 + 8 + -16 + 2 + -2? 0 Calculate -3 - (-11 + 1 + -45 + 42) - 3. 7 -4 - (1 - 3 - (18 - (27 + -12))) 1 Calculate -3 + -5 + 31 - 19. 4 Calculate 13 - (-4 + -3 - -8). 12 Evaluate -7 + (0 + 0 - (-42 + 42)) - 1...
{ "pile_set_name": "DM Mathematics" }
) wrt b? -312*b**2 Let y = -22 - -25. What is the third derivative of -z**2 + 2*z**2 + 6*z**y - 5*z**2 + z**3 wrt z? 42 What is the derivative of -7*n**4 - 38*n**2 + n**4 + 2*n**4 + 91 + 3*n**4 wrt n? -4*n**3 - 76*n Let p(y) be the second derivative of y**4/2 - 5*y**3/6 - 85*y**2 - 2*y - 7. Find the first derivative of...
{ "pile_set_name": "DM Mathematics" }
value in f, -3/4, 0.3? f Let h = -3.2 + 3. Let x be 2/(-8) - (-8766)/120. Let i = 72 - x. Which is the third biggest value? (a) h (b) i (c) 0.3 b Let i = -353/6 + 59. What is the fourth biggest value in -3, 1, -5, i? -5 Let q = 0.2 - 5.2. What is the second smallest value in q, 2/5, -2/15? -2/15 Let f = -2.1 + 2.4....
{ "pile_set_name": "DM Mathematics" }
0, -2, -85, -7, -5. -85, -7, -5, -2, 0 Sort 10815, -2, 4, 5 in decreasing order. 10815, 5, 4, -2 Sort -21, -158, 2 in increasing order. -158, -21, 2 Put 0, -56, -8, 2, -1, 5 in descending order. 5, 2, 0, -1, -8, -56 Sort 541, -18, -0.3, 0.06. -18, -0.3, 0.06, 541 Sort -15.05, 0.1, -4, -3/7, 0.3. -15.05, -4, -3/7, 0.1, ...
{ "pile_set_name": "DM Mathematics" }
*2. Give w(n(o)). -882*o**2 Let m(k) = 4*k. Let s(b) = -b**2 + 4. What is m(s(a))? -4*a**2 + 16 Let c(r) = -500*r. Let d(p) = -p**2. Calculate d(c(x)). -250000*x**2 Let a(f) = 231*f - f**2 - 231*f. Let g(m) = -5*m - 2. What is g(a(v))? 5*v**2 - 2 Let p(z) = -10*z. Let c(s) be the third derivative of -s**4/8 + 20*s**2. ...
{ "pile_set_name": "DM Mathematics" }
In base 13, what is -a - 600? -60a In base 16, what is -5 - 46? -4b In base 7, what is -21 + 4? -14 In base 13, what is 679a - -2? 679c In base 12, what is -3 - 9a4? -9a7 In base 5, what is 1011 + -110? 401 In base 16, what is 12 - 7? b In base 9, what is -563 - -3? -560 In base 16, what is -5 + -9e? -a3 In base 16, w...
{ "pile_set_name": "DM Mathematics" }
= -b - 24, -4*b + 1 + 3 = 0. What is the highest common factor of w and m? 5 Suppose 3*u + 36 = i, 11 + 30 = i + 2*u. Suppose 29*f - i = 26*f. Suppose 0 = m - 12 - 1. What is the greatest common divisor of m and f? 13 Let a = 161 - 137. Calculate the highest common factor of a and 64. 8 Let o = -121 + 130. Let x be (1...
{ "pile_set_name": "DM Mathematics" }
0.20072 + 0.2. What is c rounded to four dps? -0.0007 Let y = -1059 - 340. Let r be 1 - y - 0/2. Round r to the nearest 1000. 1000 Let p = 7.93 + -7.9299449. Round p to five dps. 0.00006 Let w = -43 + 15. Let t be ((0 - w) + 0)*250. What is t rounded to the nearest ten thousand? 10000 Let b = 85 + -84.939. Let r = 6.99...
{ "pile_set_name": "DM Mathematics" }
x**3 + x + 1. Let k be d(-1). Suppose -5 - 15 = -k*b. Let i = 223 - 143. What is the greatest common factor of b and i? 10 Suppose -3*y + t = -5, -y - 1 = 2*t + 2. Let j = -10 + 21. Calculate the highest common factor of y and j. 1 Suppose -20 = 3*u + 3*q - 7*q, 2*q = -5*u - 42. Let j be (-3)/(-6)*u/2. Let o = 3 + j. W...
{ "pile_set_name": "DM Mathematics" }
factors of (-1995)/(-38)*(-172)/(-6)? 5, 7, 43 Suppose -6*a + 1801 = -743. List the prime factors of a. 2, 53 Let j = -1468 - -2192. List the prime factors of j. 2, 181 Let i = -20 + 24. Suppose 4*j + 3*c - 985 = -j, -i*j - c + 781 = 0. What are the prime factors of j? 2, 97 Suppose 0 = 2*m + 2*n + 14, -m + 3*n = m - ...
{ "pile_set_name": "DM Mathematics" }
ennia are there in 0.393572 years? 0.000393572 What is one sixteenth of a centimeter in micrometers? 625 How many litres are there in 72646.92ml? 72.64692 How many millilitres are there in 1/20 of a litre? 50 Convert 41399.14 millilitres to litres. 41.39914 How many years are there in 3/8 of a millennium? 375 What is 4...
{ "pile_set_name": "DM Mathematics" }
52095? 139718790 Calculate the common denominator of 29/172068 and 127/890. 76570260 Calculate the smallest common multiple of 104 and 163080. 2120040 What is the common denominator of 65/1002 and 81/51680? 25891680 What is the common denominator of 9/15365432 and 67/8? 15365432 Find the common denominator of 43/18 and...
{ "pile_set_name": "DM Mathematics" }
) -3/7 (c) 6 (d) -118 (e) 0.169 e Which is the closest to 4/3? (a) -4 (b) -0.3 (c) -1698/17 (d) -11 (e) -0.4 b What is the nearest to 2686 in 2, -2/5, -0.07, 0? 2 Which is the nearest to -0.4? (a) 0.5 (b) -2/9 (c) -92 (d) 0.218 (e) -3/2 b What is the nearest to -0.7 in 2/31, 30, -0.07, -2? -0.07 What is th...
{ "pile_set_name": "DM Mathematics" }
o 2? (a) 3 (b) -2 (c) -4/3 a Which is the closest to -6? (a) 3 (b) 4 (c) 2/9 c Which is the nearest to 0.1? (a) 1 (b) -2747 (c) 2/11 (d) -0.4 c Which is the closest to -0.1? (a) -4 (b) -1/161 (c) 3 b Which is the nearest to 1? (a) 3 (b) 2/11 (c) 5 (d) 2 b What is the closest to -2/9 in 24, -1, 0.4, -2?...
{ "pile_set_name": "DM Mathematics" }
et i(w) = w + 2. What is the remainder when 17 is divided by i(8)? 7 Let u(q) = -q - 1. Suppose -w - 2*f = w + 2, -22 = -5*w + 4*f. What is the remainder when u(-6) is divided by w? 1 Let a be ((-1)/(-3))/((-12)/(-108)). Suppose a + 3 = i. Let v(m) = -3*m. What is the remainder when i is divided by v(-1)? 0 Calculate t...
{ "pile_set_name": "DM Mathematics" }
t g be 3 + (2 - 7) - 3. Let n(s) = s - 1. Let d(h) = 10*h - 5. Let a(c) = g*n(c) + d(c). What is a(z(b))? 5*b**2 Let s(m) = -2*m**2. Suppose -b = -5*b + 16. Suppose -3*f = -b*f + v, 27 = 5*f + 4*v. Let k(r) = -f*r + 2 - 2. Give s(k(j)). -18*j**2 Let n(a) be the third derivative of -a**4/24 + 25*a**2. Let v(j) = 5*j. Gi...
{ "pile_set_name": "DM Mathematics" }
27*(-12)/(-270)). 1/4 Evaluate ((-1)/(-2))/((220/(-32))/(-11)). 4/5 (-5)/(-10)*24/(-4) -3 What is ((-2)/2)/(-3*(-8)/60)? -5/2 What is the value of (3/3*-1)/((-7)/(-7))? -1 What is 0/(-3*(-4)/(-54)*-9)? 0 Evaluate ((-6)/40*-2)/((-12)/(-10)). 1/4 2*((-16)/132)/((-16)/12) 2/11 Evaluate (-1)/((-2)/8)*(-2)/16. -1/2 Calculat...
{ "pile_set_name": "DM Mathematics" }
031897, -2031925, -2031959? -3*x**2 - x - 2031845 What is the o'th term of 4441, 10614, 16787, 22960, 29133, 35306? 6173*o - 1732 What is the o'th term of -9774, -39360, -88770, -158004, -247062? -9912*o**2 + 150*o - 12 What is the s'th term of -107324, -858295, -2896614, -6865955, -13409992, -23172399? -107279*s**3 - ...
{ "pile_set_name": "DM Mathematics" }
(-656)/24)*1/8. Let a = -2/3311 - -122579/119196. Let n = -7/9 + a. What is the closest to n in 0.5, h, -1? 0.5 Let d = -0.3 - -0.29. Let g be (10/(-25))/((-871)/335). Let y = 0 - -0.3. What is the nearest to 3 in y, g, d? y Let i = 0.23171 - -0.06829. What is the nearest to 0.3 in i, -0.3, 43, -0.1? i Let a = -945 - -...
{ "pile_set_name": "DM Mathematics" }
and 138. 10827 -546510 + 4 -546506 Add together 20360570 and -3. 20360567 What is the difference between 49971 and 0.16? 49970.84 157 + 6352 6509 Calculate -4.348 - 56. -60.348 What is -348 + 129.18? -218.82 What is the difference between -92 and -43? 49 What is the distance between -0.4 and -10592? 10591.6 What is -6...
{ "pile_set_name": "DM Mathematics" }
ors of r. 2, 7 Suppose 18*x + 22508 = 86*x. Let y(s) = s**2 + s + 4. Let j be y(-5). List the prime factors of j/36 + x/3. 3, 37 Let r(j) = -3626*j + 2. Let g be r(-3). Suppose -4*z + g = 13*z. What are the prime factors of z? 2, 5 Suppose 49536*y + 106746 = 49542*y. List the prime factors of y. 17791 Let t = 29 + -27....
{ "pile_set_name": "DM Mathematics" }
ten? 17010 Round -84.55515 to the nearest ten. -80 What is -36.8968737 rounded to the nearest 10? -40 What is 0.1696691 rounded to 2 dps? 0.17 What is 0.000002642947886 rounded to seven dps? 0.0000026 What is 827975312 rounded to the nearest one million? 828000000 What is -786262579 rounded to the nearest one hundred ...
{ "pile_set_name": "DM Mathematics" }
2? o Let d = -1 - -1.2. Let m be (5/(-2))/((-6)/(-4)). Let s(o) = -2*o**2 - 13*o + 9. Let j be s(-7). Which is the second smallest value? (a) j (b) m (c) d c Let j = -14.7 - -14. Let i = 2.7 + j. What is the third biggest value in -1/8, -5, i? -5 Let r = -0.011 + -0.389. Which is the second biggest value? (a) r (b...
{ "pile_set_name": "DM Mathematics" }
0*l - l + 2*l + 0*l - 1 + 0 + 2 - l to the form j*l + x and give j. 1 Rearrange -10*j - 2*j + 39*j - 17*j to the form c + w*j and give w. 10 Rearrange 0 + 23*x - 2 + 3 to s*x + o and give o. 1 Express (0*i - 3*i + 5*i)*(-4 + 1 + 2)*(-32 + 2 - 1) in the form m + r*i and give r. 62 Express 3 - 4*t**2 - 6*t**2 - 3 + 2 as...
{ "pile_set_name": "DM Mathematics" }
563 to 6 decimal places. -0.000563 What is 23.509 rounded to the nearest integer? 24 Round -131890 to the nearest ten thousand. -130000 Round 735400 to the nearest 10000. 740000 What is -0.0000007761 rounded to seven dps? -0.0000008 Round 0.01515 to three decimal places. 0.015 Round 890.51 to the nearest one hundred. 9...
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 19 What is 125 to the power of 1/10, to the nearest integer? 2 What is the cube root of 829 to the nearest integer? 9 What is 6573 to the power of 1/6, to the nearest integer? 4 What is the square root of 45660 to the nearest integer? 214 What is 50335 to the power of 1/10, to the nearest integ...
{ "pile_set_name": "DM Mathematics" }
Does 812 divide 7934? False Does 11 divide 88861? False Is 843 a factor of 1384206? True Is 39 a factor of 838110? True Is 11 a factor of 43472? True Is 111622 a multiple of 98? True Is 140299 a multiple of 21? False Does 182 divide 111202? True Is 1004971 a multiple of 887? True Is 967136 a multiple of 17? False Does ...
{ "pile_set_name": "DM Mathematics" }
231*(-64)/352. 15 Evaluate (13090/(-1452) - -9)/(57/(-418)). 1/9 (36/(43416/(-42)))/(4/(-93)) + (-6)/8 4/67 Evaluate (-60*87/20880)/((-17)/4). 1/17 Evaluate (-243016)/8210*(3 + (-3)/6). -74 What is the value of (-106)/212 + (-278)/(-32) - 8? 3/16 What is (-46 - -17)/58*0? 0 Evaluate 52/(-598) + (-2 - (-428)/(-368)). -1...
{ "pile_set_name": "DM Mathematics" }
2, 29 Let z(r) = -r**2 - r + 12. Let s be 2/(-11) + 4/22. Let u be z(s). Suppose 0 = -3*a + 2*a + u. What are the prime factors of a? 2, 3 Let v(d) = -d**3 - d**2 + 3*d - 7. List the prime factors of v(-4). 29 Let v = -3 + 6. List the prime factors of (-1)/1 - (-18)/v. 5 Suppose 5*y = 122 + 48. List the prime factors o...
{ "pile_set_name": "DM Mathematics" }
-20)/6). Solve 5*s + 0*s - p = 0 for s. 1 Let l be ((-2)/(-3))/((-170)/765) + 15. Solve 17*v + l = 13*v for v. -3 Let z be ((-48)/(-40))/((-2)/(-5)). Suppose -z = 4*b - 5*d, 12 = d + 3*d. Solve -17 = -4*x + b for x. 5 Suppose 14*i - 11*i + 1074 = 0. Let a = i + 367. Solve -3*c = -a*c for c. 0 Suppose 41*g - 22 = 30*g. ...
{ "pile_set_name": "DM Mathematics" }
value? (a) 2/11 (b) -0.5 (c) 0.04 (d) -2 c Which is the smallest value? (a) -2 (b) -1/5 (c) 3/4 a What is the second biggest value in -2/17, -2/21, 6, 2/9, 3? 3 Which is the fourth smallest value? (a) -2/3 (b) 3 (c) -15 (d) -2/5 b Which is the second biggest value? (a) 63/8 (b) -1/4 (c) 0.5 (d) -1 c Whi...
{ "pile_set_name": "DM Mathematics" }
= -756 - -759. Solve 3*s = g*d + d + 4, d + t = 2*s for d. -1 Suppose -3*c + 45 = -15. Let o = -50 - -52. Solve -o*b + 3*t + t + c = 0, -4*t - 18 = -b for b. 2 Suppose -16*q = -5*q + 7*q - 54. Solve -23 + 2 = -2*v - 3*s, q*s - 3 = 4*v for v. 3 Let l be -1 + 1 + 3 + 1 + -217. Let n = l + 123. Let w = 92 + n. Solve -2*u ...
{ "pile_set_name": "DM Mathematics" }
4/7, -55, -1/2, 2, 2/13? -1/2 Which is the biggest value? (a) -0.3 (b) 0.4 (c) -69/2 (d) -4 b What is the third smallest value in -4, -3, 2, 31? 2 Which is the second biggest value? (a) -1/3 (b) 1 (c) -7/2 a What is the third smallest value in -0.04, -23/7, 4/7, 0.2? 0.2 What is the smallest value in 11, -5, -3...
{ "pile_set_name": "DM Mathematics" }
+ 57867 = -6615. Is 6 a factor of j? False Let v = -3109 + 5472. Is 26 a factor of v? False Does 3 divide -8 + ((-84)/4)/((-45)/330)? False Does 20 divide (-110 + 90)/((-4)/(-28704)*-3)? True Let s(c) be the first derivative of 25 - 51*c - 11/2*c**2. Does 25 divide s(-13)? False Let s(i) = -i**3 + 14*i**2 + 14*i + 21. ...
{ "pile_set_name": "DM Mathematics" }
lify (((h/h**(2/45))/h*h)/h**(1/10))/(h**(2/19)/h**(-4)) assuming h is positive. h**(-5557/1710) Simplify m/m**(-2/11)*m**(-9)/m*m*(m**(-2)/m)**37 assuming m is positive. m**(-1307/11) Simplify (c**(2/5)/c*c/c**2*c**(-2)*c**(4/7))**(-50) assuming c is positive. c**(1060/7) Simplify (c**1)**(-37)/((c**10*c)/((c**(8/5)*c...
{ "pile_set_name": "DM Mathematics" }
be t(9). Find the common denominator of 1/((-57)/h - 3) and 9/208. 208 Suppose 2*u + 18 = k - 3*k, -2*u = -4*k + 24. Calculate the common denominator of -87/38 and (243/15)/(28/u). 266 Calculate the lowest common multiple of ((-4808)/(-24))/(6 - (-68)/(-12)) and 9. 5409 Let w(y) = -3*y**3 + 11*y**2 - 6*y + 10. Let k be...
{ "pile_set_name": "DM Mathematics" }
t q? 118152*j*q**3 + 21*q**2 What is the third derivative of 3*o**4*x + 4268*o**4 - 2*o**3*x - 9*o**3 + 1578500*o**2*x - o + 6*x wrt o? 72*o*x + 102432*o - 12*x - 54 What is the third derivative of -1307*b**6 + b**4 + 18559*b**3 - 4677*b**2 + 4*b + 248? -156840*b**3 + 24*b + 111354 Find the third derivative of 4507*r**...
{ "pile_set_name": "DM Mathematics" }
- 105 = 447. Let j(y) = 10*y**2 - 30*y + 37. Is j(r) a prime number? True Let a be -10*(-4 - (-27)/6). Let n(y) = -y**3 + y**2 - 15*y - 68. Is n(a) prime? True Let q be (-220)/(-32) - (5 + (-287)/56). Let p(l) = 24*l**2 - 9*l - 8. Let b be p(-6). Suppose 21 = -q*g + b. Is g a prime number? True Suppose 0 = 3*o + q + 25...
{ "pile_set_name": "DM Mathematics" }
-197 Let p(w) = 3*w**2 - 1445*w - 14703. Calculate p(-10). 47 Let w(q) = q**2 - 317*q + 7336. Calculate w(25). 36 Let c(l) = -l**3 + 20*l**2 - 141*l + 1061. Determine c(23). -3769 Let j(g) = -19*g**3 + 796*g**2 + 85*g - 13. Determine j(42). 29 Let w(i) = -1098*i - 133941. What is w(-122)? 15 Let i(b) = -219*b - 5449. ...
{ "pile_set_name": "DM Mathematics" }
723)*(q - 1)/5 Factor 5*l**2/4 - 12050*l + 24095. 5*(l - 9638)*(l - 2)/4 Factor 2*b**4 + 100*b**3 + 912*b**2. 2*b**2*(b + 12)*(b + 38) Factor o**2/2 + 49*o - 10143/2. (o - 63)*(o + 161)/2 Factor -2*o**3/5 - 748*o**2 - 1721976*o/5 + 24846192/5. -2*(o - 14)*(o + 942)**2/5 Suppose 2*h**2/7 - 47788*h/7 + 285461618/7 = 0. W...
{ "pile_set_name": "DM Mathematics" }
+ 7*v**2/2 + v + 645. Solve z(s) = 0 for s. -7, -6 Let b(s) be the second derivative of -s**6/120 + s**5/16 + s**4/4 - 10*s**3/3 + 8*s**2 - 161*s. Solve b(k) = 0 for k. -4, 1, 4 Let q = -1938 + 5878/3. Let f = -21 + q. What is c in 4/3 + f*c**2 + 4/3*c = 0? -2 Let h(v) be the first derivative of 13 + 0*v**2 + 1/6*v**4...
{ "pile_set_name": "DM Mathematics" }
17. Suppose g*b - 7*b + 154 = 0. List the prime factors of b. 7, 11 Suppose 0 = -r + 4*x + 464 - 23, x - 837 = -2*r. List the prime factors of r. 421 Let i be (0/(-2))/(2 - 3). Let q(r) = r**3 - 4*r**2 - 3*r - 6. Let b be q(5). Suppose -b*u - 28 + 216 = i. What are the prime factors of u? 47 Let v = 30 - 24. Suppose -1...
{ "pile_set_name": "DM Mathematics" }
*2 Let b(i) be the third derivative of 0*i + 17*i**2 - 11/12*i**4 + 4/3*i**3 + 0. Differentiate b(l) wrt l. -22 Let u(n) = -149*n**2 + 10*n + 304. Let d(y) = -75*y**2 + 6*y + 152. Let g(w) = -5*d(w) + 3*u(w). Differentiate g(l) wrt l. -144*l Let v be (-2 + -12)*28/(-98). What is the third derivative of 2*n**3 + 4*n**2 ...
{ "pile_set_name": "DM Mathematics" }
v be (-4 - -1)/(5 + (-16)/l). Solve 4*d + 6 = 2*t, -v = 5*d - 0*t - t for d. -2 Let u be 2/(-12) - 3397/(-474). Let v(r) = -r**3 - 2*r**2 + 65*r - 9. Let y be v(u). Solve 5*c - 1 = 5*a - 11, 0 = -5*c + 2*a + y for c. 3 Suppose 379 - 325 = -23*v + 192. Solve -5 = -i, -i = y - v*y + 10 for y. 3 Suppose -2*g + 7*g = 3*a ...
{ "pile_set_name": "DM Mathematics" }
at is -72 + -3264386? -3264458 In base 11, what is 22 + 436a44? 436a66 In base 7, what is -24 + 2233113? 2233056 In base 11, what is 16 - 1a229531? -1a229516 In base 8, what is 143063 + -220? 142643 In base 12, what is 948a3221 - 1? 948a3220 In base 2, what is -1101000 - 11001100001101? -11001101110101 In base 12, what...
{ "pile_set_name": "DM Mathematics" }
06171169 What is 51/2 of a milligram in micrograms? 25500 What is fourty-four fifths of a microgram in nanograms? 8800 What is 296973.18 months in millennia? 24.747765 What is twenty-seven fifths of a microsecond in nanoseconds? 5400 What is 18/5 of a microgram in nanograms? 3600 Convert 28.462563ms to minutes. 0.00047...
{ "pile_set_name": "DM Mathematics" }
he nearest integer? -6 Let o = 817 + -1033. Let z = -5369110.99826 - -5368895. Let k = z - o. Round k to 4 decimal places. 0.0017 Let s = 16489.6 - 13282. What is s rounded to the nearest 1000? 3000 Let q = 2.322 + 2.506. Let l = -4.2 + q. What is l rounded to 2 dps? 0.63 Let i = -3341 + 3346. Let v = 125013 + -25089. ...
{ "pile_set_name": "DM Mathematics" }
Simplify (w*((w/(w*w**(-3/22)))/w)/w*w*w)**(2/5) assuming w is positive. w**(5/11) Simplify (z*z*z**1)**(-4/15)*(z*z**(-1))**(1/9) assuming z is positive. z**(-4/5) Simplify (l*l**(-1)*l)**(-11/5)/(l/(l*l**3)*l*l*l*l*l*l*l/l**(-1)) assuming l is positive. l**(-36/5) Simplify ((i*(((i*i**(3/8))/i)/i)/i*i*i)/i)/(i*i*(i/...
{ "pile_set_name": "DM Mathematics" }
-5137635 * 1. -5137635 What is -1.4112961 times -0.4? 0.56451844 Work out 0.16045 * 5570. 893.7065 4013.69*113 453546.97 What is 0.01 times 1.80427? 0.0180427 What is -0.6 times -100.55? 60.33 -2418 times 1.55136 -3751.18848 Multiply 0.14709561 and -8. -1.17676488 What is 600332 times 21? 12606972 Work out 513.54 * -0...
{ "pile_set_name": "DM Mathematics" }
5*w**4 + 2*w**4 - w**4 + 2*w**4 - 3*w**4 + (-w**3 - 4*w**3 + 3*w**3)*(5*w - 2*w - w). 3*w**4 Expand a**3 + 4*a**2 + a**3 + a**2 + 0*a**2 - a**3 + 0*a**2 + (-2*a + 0*a + a)*(-3*a**2 - 4*a + 4*a). 4*a**3 + 5*a**2 Expand -30*z + 30*z + z**5 - z**2 + (3*z - 7*z + 3*z)*(-3 + 3 - 2*z**4). 3*z**5 - z**2 Expand 7 - 5 - d + 2 ...
{ "pile_set_name": "DM Mathematics" }
2 + 347*i - 2116. Let a be y(6). Factor 0 + 20/13*f - 2/13*f**a. -2*f*(f - 10)/13 Let h(p) be the third derivative of -p**6/200 + 2*p**5/25 - p**4/8 - 5*p**3 - 111*p**2 - 3*p. Find v, given that h(v) = 0. -2, 5 Suppose 18*m = 27*m + 90. Let f be ((-3)/(90/4))/(1/m). Factor 4/3*r**2 + 0 - f*r. 4*r*(r - 1)/3 Let s(x) = x...
{ "pile_set_name": "DM Mathematics" }