1*a**2 - 146*a - 445. Let t(c) = -20*d(c) + 3*y(c). Factor t(n).
2*(n - 56)*(n + 4)
Factor 2987645/2 + 5/2*l**2 - 3865*l.
5*(l - 773)**2/2
Let y = 66 + 606. Let p = 676 - y. Suppose -6/7*w**2 - 10/7*w - 4/7 + 2/7*w**p + 2/7*w**3 = 0. What is w?
-1, 2
Let k(m) be the first derivative of 12 + 0*m + 9*m**2 + 7/8*m**4 + 1/2*m**3 + 3/10*m**5. Let l(x) be the second derivative of k(x). Factor l(y).
3*(y + 1)*(6*y + 1)
Let f be 10875/(-10440) + 48/18. Factor -1/8*x**3 + 13/8*x**2 + 1/8*x - f.
-(x - 13)*(x - 1)*(x + 1)/8
Suppose 34 = -2*c + 4*q, c + 71*q - 43 = 67*q. Find r, given that -15/4*r**3 - 3/4*r**4 + 15/4*r - 9/4*r**2 + c = 0.
-4, -1, 1
Let n = -117 + 120. Let 2*k - 4*k - 39*k**4 + 19*k**3 + 46*k**4 - 7*k**n + 3*k**2 = 0. What is k?
-1, 0, 2/7
Let t(m) = -m + 1. Let x(s) = -2*s**2 - 6*s - 2. Let v be x(-7). Let p = 53 + v. Let l(a) = 5*a**3 + 12*a**2 + 9*a - 5. Let c(n) = p*t(n) - l(n). Factor c(f).
-f*(f + 2)*(5*f + 2)
Factor 1/5*f**2 + 0 + 28/5*f.
f*(f + 28)/5
Let m be -1 + (-24)/32 + 1/(-4). Let x be (20/6)/(m/(-3)). Solve -3/8*q**x + 45/8*q + 3/4*q**2 - 27/8 + 21/8*q**4 - 21/4*q**3 = 0 for q.
-1, 1, 3
Suppose 3*f = -3*l + 645, 9*f = -2*l + 5*f + 420. Let 185*o**3 + 3*o**4 + 30*o**2 + 5*o + 7*o**4 - l*o**3 - 4 - 6 = 0. What is o?
-1/2, 1, 2
Let o be 104/20 - 2 - (21 - (-1352)/(-65)). Solve -2*u**4 + 8/9*u**2 + 0 - 4/9*u**5 + 0*u - 2/3*u**o = 0.
-4, -1, 0, 1/2
Let i(k) = -65*k**2 + 10762*k + 4653. Let t be i(166). Suppose 0 = x - 1 - 2. Factor 0*b - 18/17*b**t - 2/17*b**x + 12/17*b**4 + 0 + 0*b**2.
-2*b**3*(3*b - 1)**2/17
Let g be (-5)/(70/4)*-21. Let b(y) be the first derivative of 1/63*y**g - 4/35*y**5 - 13 + 0*y**2 + 2/7*y**4 + 0*y - 16/63*y**3. Solve b(o) = 0.
0, 2
Suppose -4826*q = -4820*q. Find j such that 18/11*j**4 + 0*j - 4/11*j**3 + q*j**2 + 0 = 0.
0, 2/9
Let d(v) be the third derivative of -2*v**7/7 - 139*v**6/30 - 132*v**5/5 - 66*v**4 - 160*v**3/3 + 5496*v**2. Let d(s) = 0. What is s?
-5, -2, -4/15
Let r(v) = 4058*v + 36524. Let b be r(-9). Let 5/4*o**5 + 0*o + 15/4*o**3 + 0 + 0*o**b + 5*o**4 = 0. What is o?
-3, -1, 0
Let w(g) be the second derivative of -g**4/6 + 1169*g**3/3 + 8162*g. Determine h, given that w(h) = 0.
0, 1169
Suppose 22/7*h**2 + 1492/7*h - 272/7 = 0. Calculate h.
-68, 2/11
Solve 36*a - 26/5*a**3 + 32/5 - 186/5*a**2 = 0 for a.
-8, -2/13, 1
Let z = -3205001/5 - -641005. Let -4/5*w**2 - z + 28/5*w = 0. What is w?
1, 6
Suppose 131334 - 131438 = -26*r. Let 2/15*x**r + 0*x + 0*x**2 + 0*x**3 + 0 = 0. What is x?
0
Let b = -252 - -480. Let s = -226 + b. Factor 12*h - 21*h**s - 12/7.
-3*(7*h - 2)**2/7
Let x be (-118)/(-236) + (161/(-18))/(-7). Let 4/3*h - x - 2/9*h**2 = 0. What is h?
2, 4
Let p(w) be the third derivative of w**6/200 + 1673*w**5/300 + 15531*w**4/8 - 25947*w**3/10 + 147*w**2 - 2*w. Factor p(d).
(d + 279)**2*(3*d - 1)/5
Let d(x) be the third derivative of x**3 + 1/5*x**5 - 1/40*x**6 + 0*x - 5/8*x**4 - 189*x**2 + 0. Let d(v) = 0. What is v?
1, 2
Let n(r) = -2*r**3 + 29*r**2 + 13*r + 40. Let y be n(15). Let u be y/(-175)*-5*7/1. Factor 8/5*w - 2/5*w**u - 6/5.
-2*(w - 3)*(w - 1)/5
Let d(g) be the third derivative of -g**6/180 + 29*g**5/45 - 113*g**4/36 + 56*g**3/9 + 456*g**2 - 2. Suppose d(i) = 0. What is i?
1, 56
Let r(x) be the first derivative of -3*x**5/5 + 5205*x**4/4 - 751688*x**3 - 1130136*x**2 + 5883. Suppose r(f) = 0. What is f?
-1, 0, 868
Let r be 9 + (-12 - 3) - (6/(-1) - 0). Factor r*w**3 + 0*w + 4/7 + 4/7*w**4 - 8/7*w**2.
4*(w - 1)**2*(w + 1)**2/7
Let b(c) = c**3 - c**2 - 22. Let i(v) = -4*v**3 + 16*v**2 - 52*v + 126. Let m(h) = 3*b(h) + i(h). Find w, given that m(w) = 0.
2, 5, 6
Let f be (-24)/(-84) + (-2 - (-3744)/(-21)). Let s be (-9)/(f/8) - 6/(-135). Suppose s - 2*b + 8/9*b**2 = 0. What is b?
1/4, 2
Let r(f) be the first derivative of -f**4/14 - 724*f**3/21 + 727*f**2/7 - 104*f + 864. Let r(s) = 0. What is s?
-364, 1
Let f = -1329 + 1340. Suppose 6*b - f*b + 20 = c, 0 = 2*b + 3*c - 8. Suppose -123/11*p**3 + 0 - 65/11*p**b - 14/11*p - 79/11*p**2 - 7/11*p**5 = 0. What is p?
-7, -1, -2/7, 0
Suppose -13 - 7 = -4*c. Let w be 7 + (c + -13 - -3). Determine a so that 1/5*a + 0 + 1/5*a**4 - 1/5*a**3 - 1/5*a**w = 0.
-1, 0, 1
Suppose p + 1345 = -3*n, -n + 2*n = -2*p - 440. Let u be (-14)/4*(-7 + n/(-70)). Factor 0 - 2/13*f**u - 6/13*f.
-2*f*(f + 3)/13
Determine g, given that 124/3 - 10/3*g**2 - 38*g = 0.
-62/5, 1
Let d(r) be the second derivative of 5*r**4/12 + 125*r**3/6 - 1500*r**2 + 6*r - 136. Determine x, given that d(x) = 0.
-40, 15
Let b(u) be the second derivative of 1/57*u**3 + 0 + 0*u**2 - 1/57*u**4 + 1/190*u**5 - 57*u. Factor b(a).
2*a*(a - 1)**2/19
Let p(z) be the third derivative of z**6/30 - 237*z**5/5 + 42245*z**4/2 - 252050*z**3/3 - 55*z**2 + 25. Solve p(c) = 0.
1, 355
Solve 2/11*b**5 - 214/11*b**2 + 70/11*b**4 - 6/11*b**3 - 140/11*b + 0 = 0 for b.
-35, -1, 0, 2
Suppose 0 = 3*a - 0*k + 2*k - 479, 331 = 2*a - k. Suppose a = 9*l - 107. What is u in 33*u + 6*u**2 + 6*u**4 - 31*u**3 - 18 + l*u**2 - 38*u**3 + 12*u**4 = 0?
-2/3, 1/2, 1, 3
Factor -2/5*g**3 + 0*g + 0 - 94/5*g**2.
-2*g**2*(g + 47)/5
Suppose -w - 22 = -v - 6*w, -5*w + 28 = 4*v. Let p(z) be the first derivative of -18*z**v + 6 + 7 - 8 + 12*z + 5*z**3 + 11. Determine d, given that p(d) = 0.
2/5, 2
Let d = -3674/5 + 25978/35. Factor -2/7*o**4 - 432/7*o**2 - 972/7*o - d*o**3 + 1458/7.
-2*(o - 1)*(o + 9)**3/7
Let o(f) be the third derivative of f**8/112 - f**7/7 + 7*f**5/2 + 95*f**4/8 + 18*f**3 + 2261*f**2. Let o(x) = 0. Calculate x.
-1, 4, 9
Suppose -537117 + 536904 = -71*b. Determine i so that 0*i + 2/11*i**b + 0 + 10/11*i**2 = 0.
-5, 0
Let n(b) = b**3 + 4*b**2 - 20*b - 46. Let t be n(-2). Let z(m) be the second derivative of 0 + 0*m**t + 32*m - 1/9*m**3 - 1/36*m**4. Factor z(w).
-w*(w + 2)/3
Let v = -151 - -887. Let g = -2183/3 + v. Suppose 1/3*s**2 + g + 10/3*s = 0. Calculate s.
-5
Find p, given that 2/15*p**2 + 16/5 + 22/15*p = 0.
-8, -3
Let s be 504/54*(-42)/(-252). Suppose s*q + 2/9*q**3 + 0 - 16/9*q**2 = 0. Calculate q.
0, 1, 7
Suppose -5*j = -i - 21, 7 = -2*i + 4*j - j. Let q be 2/i*-2 + 555/75. Factor -2/5*o**2 - q + 16/5*o.
-2*(o - 4)**2/5
Let f be (12 - 11)/((-6)/(-4) - (-1)/2). Find a such that -a**2 + 1/2 + 1/2*a**4 + f*a - a**3 + 1/2*a**5 = 0.
-1, 1
Let o(l) be the first derivative of 70 - 8*l**2 + 3*l + 5/3*l**3. What is g in o(g) = 0?
1/5, 3
Let s(k) be the third derivative of k**8/1344 - k**7/42 + 39*k**6/160 - 43*k**5/120 - 19*k**4/3 - 16*k**3 - k**2 + 1621*k. Suppose s(m) = 0. Calculate m.
-1, 6, 8
Suppose 0 = 5*x - 3*q - 3769, 2*x - 5*q = 1098 + 421. Suppose -10*z**5 - 641*z**2 - 24 - 13*z**5 - 87*z**4 - 4*z**5 + 117*z**3 + x*z**2 - 90*z = 0. What is z?
-4, -1, -2/9, 1
Let i be 16/455 + 1034/47047. Let l(n) be the third derivative of 1/735*n**7 - 2/21*n**4 + 0*n + 0*n**3 - 8*n**2 - 1/70*n**6 + 0 + i*n**5. Factor l(k).
2*k*(k - 2)**3/7
Let d be 4 - (5/(-10)*-2 - -3). Factor -70 - 80*z - 14 - z**2 + 5*z**2 + d*z**2.
4*(z - 21)*(z + 1)
Let a(y) be the first derivative of 58/3*y**3 + 57/4*y**2 + 63 + 21/5*y**5 + 53/4*y**4 + 5/12*y**6 + 5*y. Let a(n) = 0. What is n?
-5, -1, -2/5
Let s = -14153 - -155686/11. Let f(p) be the first derivative of s*p**2 + 0*p**3 - 1/22*p**4 - 4/11*p + 11. Factor f(h).
-2*(h - 1)**2*(h + 2)/11
Let l(z) be the third derivative of 0*z**3 + 1/224*z**8 + 140*z**2 + 0 + 0*z + 3/70*z**7 + 1/20*z**6 - 3/20*z**5 - 5/16*z**4. Determine g so that l(g) = 0.
-5, -1, 0, 1
Suppose -27*a - 2580 = 6654. Let o be (-152)/a + 8/18. Factor 88/9*y - o - 242/9*y**2.
-2*(11*y - 2)**2/9
Factor -1430*z + 30 - 2970*z**2 + 3227*z + 490*z**2 + 180*z + 2968*z.
-5*(z - 2)*(496*z + 3)
Let b(p) be the first derivative of 14*p**2 - 31 + 13/4*p**4 + 119/9*p**3 + 4/3*p. Factor b(m).
(m + 1)*(m + 2)*(39*m + 2)/3
Suppose -3*n = -5*r + 217, 0 = 65*n - 63*n - 2. Suppose r = -6*i + 62. Factor -12/7*y**i + 8/7 - 16/7*y**2 + 20/7*y.
-4*(y - 1)*(y + 2)*(3*y + 1)/7
Factor -15138 + 3*c**3 + 4099*c**2 + 3567*c - 2042*c**2 - 2249*c**2.
3*(c - 29)**2*(c - 6)
Solve -108/11*h + 34/11*h**2 - 144/11 - 2/11*h**3 = 0 for h.
-1, 6, 12
Find r, given that -1/4*r**5 + 0 - 21/4*r + 11/2*r**3 + r**4 - r**2 = 0.
-3, -1, 0, 1, 7
Let j(q) = -5*q + 38. Let t be j(7). Determine w, given that -6*w**3 + 0*w**t - 2*w**2 + 4*w**4 + 2*w**3 - 6*w**4 = 0.
-1