-16))/(3/12). Let y be 11/2*((-5040)/176 + 29). Factor -3/4*b - 1/2 - n*b**y.
-(b + 1)*(b + 2)/4
Let y(m) be the second derivative of 2 + 9/8*m**2 + 22*m + 7/8*m**3 - 1/6*m**4. Factor y(a).
-(a - 3)*(8*a + 3)/4
Let i(w) be the first derivative of w**3 - 723*w**2/2 - 726*w - 1256. Factor i(p).
3*(p - 242)*(p + 1)
Let t(c) be the third derivative of 5*c + 1/360*c**6 + 0 - 7/72*c**4 + 9*c**2 - 1/3*c**3 + 0*c**5. Find a, given that t(a) = 0.
-2, -1, 3
Let u(h) = h**3 - h**2 + h - 1. Let i(p) = -9144*p**4 - 4 - 4*p + 8*p - p**2 - 2*p**3 + 9147*p**4. Let c(a) = -i(a) + 4*u(a). Determine m so that c(m) = 0.
0, 1
Let y(u) be the first derivative of -144/13*u - 686/65*u**5 - 140*u**3 - 764/13*u**2 - 9 - 3381/26*u**4. Let y(s) = 0. What is s?
-9, -2/7
Let p be (62/16 - 1) + (-144)/288 + 543/(-1448). Factor 2/9*u**p - 12 - 10/3*u.
2*(u - 18)*(u + 3)/9
Suppose -9 = 34*l - 43. Let f be 2 + (1 - l) - 17/9. Factor 4/9*s**2 + f*s**5 + 0 + 0*s - 1/3*s**4 + 0*s**3.
s**2*(s - 2)**2*(s + 1)/9
Suppose 4*l = 3*l - 50*l + 204. Let q(k) be the first derivative of 1/2*k**3 + 9/2*k - 3/8*k**l + 15/4*k**2 - 17. Factor q(g).
-3*(g - 3)*(g + 1)**2/2
Let s = 155 - 52079/336. Let l(t) be the third derivative of 0*t - 1/24*t**6 + 0*t**3 + 0*t**4 - 1/30*t**5 + 0 - 2/105*t**7 - s*t**8 - 6*t**2. Factor l(d).
-d**2*(d + 1)**2*(d + 2)
Let g(n) be the second derivative of 1/3*n**4 + 0*n**2 + 2/3*n**3 - 2/15*n**6 - 5*n - 1 - 1/5*n**5. Factor g(v).
-4*v*(v - 1)*(v + 1)**2
Let r(g) be the second derivative of 2/75*g**6 + 0*g**2 - 4*g + 3 + 0*g**3 - 1/100*g**5 + 0*g**4. Let r(w) = 0. What is w?
0, 1/4
Let x = 4649/105 - 913/21. Factor 200 + 100*c + x*c**3 + 16*c**2.
4*(c + 5)**2*(c + 10)/5
Let m be (-5 + 8)*((-22)/(-6) - 5). Let w be -60*-6*m/(-648). Factor -w*j**2 - 16/9 - 32/9*j - 4/9*j**3.
-4*(j + 1)*(j + 2)**2/9
Let j(w) = -2 + w + 2*w + 0*w**2 + w**2 + w. Let m(q) = -5*q. Let s(l) = -5*j(l) - 5*m(l). Determine f, given that s(f) = 0.
-1, 2
Let u(y) be the first derivative of 3*y**5/5 - 11*y**4/4 + 3*y**3 - 5*y + 44. Let v(t) be the first derivative of u(t). Factor v(l).
3*l*(l - 2)*(4*l - 3)
Let k be (-39)/(-52)*((-24)/(-28))/((-15)/(-252)). Let 1/5*n**3 + k + 0*n**2 - 27/5*n = 0. What is n?
-6, 3
Let 14/9*o**2 - 2/9*o**3 - 14/9*o - 10/3 = 0. Calculate o.
-1, 3, 5
Let 5/4*b**5 - 2105/4*b + 225/2 - 399*b**3 + 1529/2*b**2 + 47*b**4 = 0. What is b?
-45, 2/5, 1, 5
Let c(k) be the second derivative of k**8/560 + k**7/140 + k**6/120 + 31*k**3/6 - 50*k. Let t(q) be the second derivative of c(q). Suppose t(z) = 0. What is z?
-1, 0
Let z = 1486 + -1480. Let r(f) be the second derivative of -5/6*f**4 - 1/15*f**z + 0 + 2/5*f**5 + 2/3*f**3 + 0*f**2 + 12*f. Solve r(a) = 0 for a.
0, 1, 2
Suppose -3*v = -2*w + 7, -w + 6 = -3*v + 4*v. Let f(o) be the second derivative of -37*o - 3/10*o**w + 0*o**3 - 3/4*o**4 + 0 + 1/10*o**6 + 0*o**2. Factor f(g).
3*g**2*(g - 3)*(g + 1)
Let v(f) be the third derivative of 125*f**6/6 - 340*f**5 + 134*f**4 - 64*f**3/3 - 893*f**2. Factor v(s).
4*(s - 8)*(25*s - 2)**2
Let r(h) be the first derivative of -1/3*h - 68 - 1/36*h**3 + 1/6*h**2. Factor r(g).
-(g - 2)**2/12
Let q(r) be the third derivative of r**8/896 + 23*r**7/140 + 1011*r**6/160 - 1081*r**5/40 + 2209*r**4/64 - 73*r**2 - 8. Factor q(u).
3*u*(u - 1)**2*(u + 47)**2/8
Let z(t) = 9*t**3 + 850*t**2 + 19557*t - 151706. Let k(h) = -3*h**3 - 285*h**2 - 6519*h + 50568. Let o(j) = -10*k(j) - 3*z(j). What is g in o(g) = 0?
-53, 6
Let g(p) be the first derivative of p**7/560 - p**6/240 + 2*p**3/3 + 6*p**2 - 20. Let a(i) be the third derivative of g(i). Find v such that a(v) = 0.
0, 1
Let r be 31/3 + (198/(-21) - (99/77)/(-3)). Suppose 4/3*p**2 - r*p**3 + 8*p + 0 = 0. What is p?
-2, 0, 3
Let j(p) be the first derivative of -p**5/360 - p**4/12 + 7*p**2/2 - 7*p + 191. Let d(z) be the second derivative of j(z). Factor d(y).
-y*(y + 12)/6
Let u(s) be the third derivative of -115/24*s**4 + 0*s + 5*s**3 + 2*s**2 + 1/21*s**7 - 13/24*s**6 + 0 + 7/3*s**5. Solve u(g) = 0 for g.
1/2, 1, 2, 3
Let 28/3*s**2 - 1/3*s**5 - 10/3*s**4 + 0 - 20/3*s + s**3 = 0. What is s?
-10, -2, 0, 1
Let k be (-54)/(-36)*(-4)/(-84). Let m(u) be the third derivative of -4/21*u**3 + k*u**4 + 1/30*u**6 + 0 + 4/35*u**5 - 5*u**2 + 0*u. Factor m(n).
4*(n + 1)**2*(7*n - 2)/7
Let g(c) = -171*c + 146*c - 1 + 2*c**2 + 9 + 38 + 8. Let n be g(10). Determine z so that -16/19*z**3 + 8/19*z**5 + 2/19*z**n + 2/19 + 8/19*z - 4/19*z**2 = 0.
-1, -1/4, 1
Let s(y) = -10*y**2 + 7815*y + 2250. Let k(r) = r**2 - 1953*r - 562. Let h(x) = -25*k(x) - 6*s(x). Factor h(t).
5*(t + 55)*(7*t + 2)
Suppose 4*l + 6 = -q, -10254*q = -10249*q + 5*l. Let 0*i - 136/3*i**3 + 88/3*i**4 - 14/3*i**5 + 32/3*i**q + 0 = 0. What is i?
0, 2/7, 2, 4
Let g(h) be the third derivative of -h**6/200 + 9*h**5/100 + 2*h**4/5 - 6*h**3 - 726*h**2 - h. Factor g(u).
-3*(u - 10)*(u - 2)*(u + 3)/5
Let f be (-240)/(-48) + -3 + -2. Let j(p) be the second derivative of 24*p**2 + 30*p - 40/3*p**3 + f + p**4. Factor j(m).
4*(m - 6)*(3*m - 2)
Suppose -2 = 62*l - 60*l + o, -l - 10 = 2*o. Let y + 1/5*y**3 + 2/5 + 4/5*y**l = 0. Calculate y.
-2, -1
Let n(j) = -2 - 16*j**3 + 10*j**3 - 35*j + 74*j**3 + 37*j. Let b be n(1). Determine i so that 64 - b*i - 28 - 28 + 120*i**2 = 0.
1/6, 2/5
Let j be (-132)/(-18)*(-15)/(-50). Let b = -17/10 + j. What is m in 1/2*m**2 + 3/2*m + b*m**4 - 3/2*m**3 - 1 = 0?
-1, 1, 2
Let s(m) be the first derivative of -15*m - 32 + 1/7*m**3 - 4/7*m**2 + 1/42*m**4. Let j(g) be the first derivative of s(g). Find d, given that j(d) = 0.
-4, 1
Let t(l) be the third derivative of -l**6/300 + 129*l**5/50 - 9*l**2 + 45*l. Factor t(b).
-2*b**2*(b - 387)/5
Let p be (-12)/(-84) + 4 + 5923/(-7). Let a = p + 842. Determine k so that a - 1/3*k**2 - 2/3*k**3 + 0*k - 1/3*k**4 = 0.
-1, 0
Let v be (-1 - 0) + (-3)/(-2 - -1). Factor 39 + 38 + v*g**2 + 36*g + 33 - 190.
2*(g - 2)*(g + 20)
Suppose 5*p - 90*p = 0. Suppose -16*c - l - 7 = -18*c, p = -4*c - 5*l - 7. Find h such that 1/5*h**3 + 1/5*h**4 + 0 + 0*h**c + 0*h = 0.
-1, 0
Let j be (-6)/4*((-80)/(-15) - 2). Let h be (-18)/45 - 17/j - -10. Determine g, given that 3*g + 2*g**2 - h - 7 + 21 = 0.
-1, -1/2
Find d, given that 7926*d**3 - 1460*d + 153 - 7874*d**3 + 4*d**4 - 12*d**2 - 1553 = 0.
-10, -7, -1, 5
Let r be 10191/12 - 10/8. Factor -415 - 413 - 15*l**2 + 25*l**3 - 5*l**4 + r - 25*l.
-5*(l - 4)*(l - 1)**2*(l + 1)
Let f be (33/(-135) - (-102)/2295)*-36. Factor 6/5*a**2 + f*a + 54/5.
6*(a + 3)**2/5
Let a = -42109/4 + 126331/12. Factor 0*t**2 - a*t**5 + 0*t + 0 + t**4 - 2/3*t**3.
-t**3*(t - 2)*(t - 1)/3
Let q = -104541/2 - -52275. Determine p so that -18*p - 33/2*p**3 - 42*p**2 + 0 + q*p**5 + 12*p**4 = 0.
-3, -1, -2/3, 0, 2
Let d = 16390 - 16390. Let v(h) be the first derivative of d*h**2 + 4 + 7/2*h**3 + 0*h + 3/8*h**4. Factor v(b).
3*b**2*(b + 7)/2
Let c(f) be the second derivative of -1/60*f**4 + 0*f**3 + 1/150*f**6 + 0 + 0*f**5 + 0*f**2 + 40*f. Factor c(n).
n**2*(n - 1)*(n + 1)/5
Let q(k) be the first derivative of -k**4/54 + 17*k**3/27 - 16*k**2/9 + 5*k + 62. Let p(s) be the first derivative of q(s). Let p(r) = 0. What is r?
1, 16
Let q be -1*(1 + 0) - (-15 - -11). Factor 12*v**q - 18*v**2 + 163*v**4 + 3*v**3 - 166*v**4.
-3*v**2*(v - 3)*(v - 2)
Let m = -2565 - -2567. Let y(d) be the first derivative of -55/6*d**3 - 8 - 5*d - 65/4*d**m. Suppose y(t) = 0. What is t?
-1, -2/11
Factor -83 - 4*z + z**3 - 7*z**2 - 39 + 150.
(z - 7)*(z - 2)*(z + 2)
Solve 6*w**2 + 69/5*w + 3/5*w**3 + 42/5 = 0.
-7, -2, -1
Let j(y) be the third derivative of y**6/120 - 7*y**5/10 + 389*y**4/24 - 58*y**3 - 2308*y**2 + y. Factor j(f).
(f - 29)*(f - 12)*(f - 1)
Suppose -b = -4*b, 5*q + 3*b - 25 = 0. Suppose -112 - 23 = -q*v. Factor 3*s**4 + 6 + 15*s**2 + 21*s - 15*s**2 + v*s**2 + 15*s**3.
3*(s + 1)**3*(s + 2)
Factor 191/4*w + 141 + 1/4*w**2.
(w + 3)*(w + 188)/4
Let s = 0 + -25. Let j(x) = x**3 + 25*x**2 + 16. Let v be j(s). Factor -v*g + 0*g**2 - 5*g**2 - 40 - 14*g.
-5*(g + 2)*(g + 4)
Let n(w) be the first derivative of -w**3/9 + 31*w**2/6 - 28*w - 766. Solve n(c) = 0.
3, 28
Let o be (20 + -17)*64/(-1008)*-15. Determine t, given that o*t**2 + 4/7*t**4 - 24/7*t**3 + 0*t + 0 = 0.
0, 1, 5
Let w = 471/10 - 9887/210. Let i(a) be the third derivative of -12*a**2 + 1/168*a**4 + w*a**5 - 1/21*a**3 + 