**3 + 0 - 5/2*t**5 = 0. What is t?
-1, 0, 2/5
Let a(o) be the third derivative of -o**8/120960 + o**7/7560 + 7*o**6/1440 + 253*o**5/60 - 316*o**2. Let l(s) be the third derivative of a(s). Solve l(g) = 0.
-3, 7
Let p(b) be the first derivative of 5*b**6/6 - 8*b**5 - 55*b**4/4 + 30*b**3 - 1047. Factor p(m).
5*m**2*(m - 9)*(m - 1)*(m + 2)
Let y = -31 - -153. Let o be -27 + 24 - y/(-30). Determine l, given that 2/15*l**4 + o*l + 2/15*l**5 - 8/15 - 2/15*l**2 - 2/3*l**3 = 0.
-2, 1
Let b(l) be the second derivative of l**5/190 - 28*l**4/19 + 332*l**3/57 + 10*l - 1. Let b(q) = 0. Calculate q.
0, 2, 166
Let y(v) be the third derivative of 51*v**2 + 1/60*v**6 + 0*v**3 + 1/3*v**4 + 0*v + 0 + 2/15*v**5. Let y(h) = 0. Calculate h.
-2, 0
Let m(b) be the second derivative of b**7/42 - 7*b**6/12 - 45*b**5/4 - 135*b**4/2 - 180*b**3 - 729*b**2/4 + 2*b - 167. Solve m(i) = 0.
-3, -1/2, 27
Factor 0*s + 0 + 0*s**2 + 94/7*s**3 - 2/7*s**4.
-2*s**3*(s - 47)/7
Suppose -3*c - 1960*w + 1959*w = -16, -w + 7 = 0. Let k(a) be the first derivative of 10/9*a**c - 25 - a**2 - 6*a - 1/6*a**4. Suppose k(m) = 0. Calculate m.
-1, 3
Let f(z) = -23*z**3 - 459*z**2 - 466*z. Let j(t) = 3*t**3 - t**2 + t. Let p(h) = -f(h) - 6*j(h). Factor p(v).
5*v*(v + 1)*(v + 92)
Let q be (-3369)/(-7) - (115 + -11 + -103). Suppose q + 164/7*r + 2/7*r**2 = 0. What is r?
-41
Suppose -12*c = -10 - 38. Let p(b) be the third derivative of -1/12*b**c - 1/18*b**3 + 0*b + 0 + 5*b**2 - 1/36*b**5. Factor p(i).
-(i + 1)*(5*i + 1)/3
Let r(u) be the third derivative of u**5/150 + 39*u**4/5 + 18252*u**3/5 - 107*u**2. Find a such that r(a) = 0.
-234
Let k be ((-2980)/(-210) - 14)*(-8 - 26/(-1)). Factor -2/7*d**2 - 26/7*d - k.
-2*(d + 1)*(d + 12)/7
Let s = -663/38 + -45253/266. Let c = s - -188. Let -18/7*v**3 - c*v**5 + 12/7*v**4 + 0 - 3/7*v + 12/7*v**2 = 0. What is v?
0, 1
Let j(w) be the third derivative of w**8/84 + 1111*w**7/105 + 13727*w**6/4 + 2553185*w**5/6 + 6331625*w**4/12 + 4*w**2 - 314*w - 2. Factor j(s).
2*s*(s + 185)**3*(2*s + 1)
Let s be (-6)/24 - (-126)/(-8). Suppose 48 - 28 = 4*i. Let z(j) = 7*j**2 - 7*j - 4. Let o(n) = 22*n**2 - 22*n - 12. Let v(h) = i*o(h) + s*z(h). Factor v(w).
-2*(w - 2)*(w + 1)
Let n be -17 + 19 - (-68)/(-1). Let t be n/297*(-1)/1. Solve 0 + t*w**3 + 0*w + 8/9*w**2 = 0 for w.
-4, 0
Let p(d) = d**3 - 7*d - 6. Let r be p(3). Solve r*b**2 - 15*b**2 - b**2 - 11*b**2 + 12 + 15*b = 0 for b.
-4/9, 1
Let 23*c**2 - 189*c**3 + 64515 + 99*c**4 + 70*c**2 - 64515 - 3*c**5 = 0. Calculate c.
0, 1, 31
Let n(l) = 119*l**3 + 1072*l**2 - l - 78. Let q be n(-9). Suppose -1/3*c**4 - 16/3 - 3/2*c**5 + q*c**3 - 24*c + 8/3*c**2 = 0. Calculate c.
-2, -2/9, 2
Let x = 317270 - 317267. Factor -38/23*h**x + 4/23 - 2/23*h - 30/23*h**2 - 14/23*h**4.
-2*(h + 1)**3*(7*h - 2)/23
What is o in 102 + 3/8*o**2 + 27*o = 0?
-68, -4
Let b = -31 + 34. Let x = 12275/3 + -4089. Factor 4/3*c**b - 32/3*c + x*c**2 + 0.
4*c*(c - 2)*(c + 4)/3
Let 12*p + 0 - 21/2*p**2 + 21/2*p**4 + 3/2*p**5 - 27/2*p**3 = 0. Calculate p.
-8, -1, 0, 1
Factor -93*o**2 - 689095*o**3 - 13*o**2 - o**4 + 689150*o**3.
-o**2*(o - 53)*(o - 2)
Let a(z) be the second derivative of 109*z - 2/9*z**4 - 2*z**2 + 0 - 1/90*z**5 - 29/27*z**3. Find n, given that a(n) = 0.
-9, -2, -1
Let h(l) = -l**4 - l - 2. Let i(v) = -2*v**3 + 5*v**2 + 7*v + 10. Suppose 2*k - 4*u = -24 + 6, -5*k + 2*u = 29. Let q(r) = k*h(r) - i(r). Factor q(z).
z*(z - 1)*(z + 1)*(5*z + 2)
Let x(u) be the third derivative of -2*u**7/105 - 2*u**6/5 + 13*u**5/15 + 91*u**2 + 2*u. Let x(r) = 0. What is r?
-13, 0, 1
Let x(u) = 6*u**3 + u**2 - 2*u + 1. Let w be 3 - (-2)/(-2)*(5 + -3). Let y be x(w). Let -16 - 25*b + y - 5*b**2 + 7 - 17 = 0. Calculate b.
-4, -1
Suppose o - 36 = 953. Solve -74 - 60*x + 1908 + x**2 - 614 + o - 34*x = 0 for x.
47
Let y(d) = -32*d - 49. Let r be y(-2). Let z = 49/3 - r. Determine j, given that -1/2*j**2 + 5/3*j + z = 0.
-2/3, 4
Let z = -518299 + 518302. Let -s**2 + 16 + 1/4*s**z - 4*s = 0. Calculate s.
-4, 4
Factor 6/11*a**2 - 52/11*a - 18/11.
2*(a - 9)*(3*a + 1)/11
Suppose f = 3*h - 17, -2*f = 48*h - 52*h + 30. Factor 2/7*r**2 + 16/7*r + h.
2*(r + 1)*(r + 7)/7
Let x be (-1*3)/((-32 + -25)/171). Factor 0 - 3/2*t**4 + 0*t - 27/2*t**2 - x*t**3.
-3*t**2*(t + 3)**2/2
Let v(m) be the third derivative of 0 + 58*m**2 + 40/3*m**3 + 1/10*m**6 + 0*m - 5/3*m**5 - 26/3*m**4. Suppose v(l) = 0. Calculate l.
-2, 1/3, 10
Let f be (40/(-45))/(42/(-84)). Let k(z) be the first derivative of f*z**3 + 43 - z**2 + 0*z. Factor k(u).
2*u*(8*u - 3)/3
Let o(p) = 79*p**2 + 56*p + 569. Let x(m) = -43*m**2 - 27*m - 284. Let t(n) = -6*o(n) - 11*x(n). What is q in t(q) = 0?
-29, -10
Let y(s) = 2*s**3 - 53*s**2 - 82*s - 56. Let r be y(28). Factor -16/7*u**3 + 2/7*u**4 + r + 32/7*u**2 + 0*u.
2*u**2*(u - 4)**2/7
Let h be (-11)/((5/1)/(-5)). Suppose 0 = -y - 3*w - 9, 9 = -5*w - h. Factor -125 + 86*o + 14*o**3 - 80*o**2 + 25*o**2 - 9*o**y + 89*o.
5*(o - 5)**2*(o - 1)
Let g(h) be the first derivative of -h**4/14 + 20*h**3/7 - 99*h**2/7 - 260*h/7 + 3337. Find s, given that g(s) = 0.
-1, 5, 26
Let g = -6177437/5 + 1235490. What is h in g*h**3 + 12/5*h**2 + 1/5*h**4 + 0 + 0*h = 0?
-12, -1, 0
Let x be (6*(-7)/28)/(1179/4). Let q = 1973/1572 + x. Factor 1/2 + 7/4*t + q*t**2.
(t + 1)*(5*t + 2)/4
Let w(s) be the first derivative of s**5 + 115*s**4/4 - 125*s**3 + 385*s**2/2 - 130*s + 1379. Let w(m) = 0. What is m?
-26, 1
Let w(m) be the second derivative of -m**4/72 + 41*m**3/2 - 45387*m**2/4 + 2*m + 1626. Solve w(s) = 0 for s.
369
Let u(f) be the first derivative of f**3/12 + 7*f**2/8 - 147*f/2 - 1308. Factor u(x).
(x - 14)*(x + 21)/4
Let m(o) = o**2 + 371*o - 18256. Let d be m(44). Factor 3/7*q**d - 66/7*q**2 + 15/7*q**3 + 0 + 48/7*q.
3*q*(q - 2)*(q - 1)*(q + 8)/7
Let m(s) = -2*s + 2. Let w be m(0). Let q be (w/(-4))/(24/(-144)). Solve -4 - 12*x**2 + 20*x + 16*x**4 - 17*x**3 - q*x**3 + 0*x**2 = 0 for x.
-1, 1/4, 1
Let b(m) be the first derivative of m**3/24 + 207*m**2/16 - 315*m/4 + 6773. Suppose b(v) = 0. Calculate v.
-210, 3
Let p be (0 + (-11)/33)*-9. Let x(f) = -f**2 - 3. Let z(j) be the first derivative of -2*j**3/3 - 4*j - 1. Let v(n) = p*x(n) - 2*z(n). Factor v(m).
(m - 1)*(m + 1)
Let c(p) be the second derivative of p**6/18 - 2*p**5/3 + 20*p**4/9 + 5*p + 334. Factor c(l).
5*l**2*(l - 4)**2/3
Let q(w) be the first derivative of -w**5/5 - 27*w**4/4 + 275*w**3/3 - 225*w**2/2 - 1750*w + 1781. Factor q(t).
-(t - 5)**2*(t + 2)*(t + 35)
Suppose 4*z = -2*x - 10, -17*x + 12*x - 3*z = -3. Factor -18*s**2 - 13*s + 0*s - 15*s - 10123*s**x + s + 10120*s**3.
-3*s*(s + 3)**2
Suppose 147465*o = 147467*o + 4*i + 42, -2*i - 9 = 5*o. Factor 9/5*u - 1/5*u**o + 9/5*u**2 + 0 - 1/5*u**4.
-u*(u - 3)*(u + 1)*(u + 3)/5
Let g = 27 - 48. Let s be (-1815)/(-12) + g/(-28). Factor 3*m**3 - 5 + 2 - 149*m**2 + s*m**2 - 3*m.
3*(m - 1)*(m + 1)**2
Let w be (0 - (-2)/(-18))/(188 - (-317152)/(-1683)). Suppose -3*h - 2*v + 6 = 0, 5*h = -0*h - 3*v + 10. Solve 6 + 7*n + w*n**3 + 5/2*n**h = 0 for n.
-6, -2
Suppose -4*c = c - 20. Let q(x) = -x + 10. Let z be q(5). Factor 2*f**2 - 3*f**4 + c*f**5 + 2*f**3 - 6*f**z + f**4.
-2*f**2*(f - 1)*(f + 1)**2
Let s = 9757/1110 + -324/37. Let g(l) be the second derivative of 0 - 1/60*l**4 + 0*l**2 + s*l**3 - 15*l. Factor g(m).
-m*(m - 1)/5
Let v(f) be the first derivative of 14*f**3/11 - 2628*f**2/11 + 750*f/11 + 6900. Factor v(p).
6*(p - 125)*(7*p - 1)/11
Let r be (-303)/404 - (-309)/12. Let k(q) be the second derivative of 0*q**4 + 0*q**2 - r*q + 0 - 1/36*q**3 + 1/120*q**5. Solve k(b) = 0.
-1, 0, 1
Let m(n) = 4*n - 14. Let b(w) = 7*w - 27. Let y(j) = -6*b(j) + 11*m(j). Let i be y(-3). Factor -2/11*v + 0 + 0*v**i + 2/11*v**3.
2*v*(v - 1)*(v + 1)/11
Let t(m) be the second derivative of 12*m**5/5 - 19*m**4/6 - 3*m**3 + 3061*m + 1. Factor t(s).
2*s*(3*s + 1)*(8*s - 9)
Find f, given that 18*f**3 - 3020*f + 484*f - 180 - 122*f**3 + 1740 + 2*f**4 + 1078*f**2 = 0.
1, 2, 10, 39
Suppose -1 = r + 4*q, 5*r + 15*q = 16*q + 16. Let k(g) be the first derivative of 0*g - g**2 + 13/3*g**r - 5*g**4 - 21. Suppose k(t) = 0. Calculate t.
0, 1/4, 2/5
Let m = -111911 + 111911. What is w in -5/6*w**4 + 0*w - 4/3*w**3 - 1/6*w**5 - 2/3*w**2 + m = 0?
-2, -1, 0
Let j be (-1)/264*-354 + 21/(-84). Factor 18/11 + j*h + 2/11*h**2.
2*(