t r(g) be the third derivative of q(g). Factor r(v).
-2*(v - 1)*(v + 1)
Let q(p) be the first derivative of -5*p**3/3 + 105*p**2/2 - 270*p - 184. Factor q(c).
-5*(c - 18)*(c - 3)
Factor -54*w - 70*w**2 - 65*w**2 + 186*w**2 + 3*w**3.
3*w*(w - 1)*(w + 18)
Let i(k) be the third derivative of k**8/672 - k**7/84 + k**6/80 + k**5/24 - k**4/12 + 15*k**2. Factor i(h).
h*(h - 4)*(h - 1)**2*(h + 1)/2
Let v(q) be the second derivative of 2*q**6/5 + 81*q**5/20 + 57*q**4/4 + 16*q**3 - 18*q**2 + 4*q + 7. Factor v(t).
3*(t + 2)**2*(t + 3)*(4*t - 1)
Let q(k) be the third derivative of -k**5/100 - 3*k**4/40 + 2*k**3/5 - 23*k**2 + k. Factor q(l).
-3*(l - 1)*(l + 4)/5
Let f(x) = -20*x**2 - 8*x - 8. Let p be 3 - ((-9)/(-3) - 12). Let g be -1*3*20/p. Let k(o) = -13*o**2 - 5*o - 5. Let t(z) = g*f(z) + 8*k(z). Factor t(l).
-4*l**2
Let h = -693 + 33265/48. Let x(l) be the third derivative of -h*l**4 + 0*l - 1/6*l**3 + 1/240*l**6 + 1/40*l**5 - 1/420*l**7 + 0 - 4*l**2. Factor x(i).
-(i - 2)*(i - 1)*(i + 1)**2/2
Let b be (-12)/(-16)*(-4)/(-180). Let p(m) be the third derivative of 1/360*m**6 - b*m**5 - 1/18*m**3 - m**2 + 0*m + 0 + 1/24*m**4. Factor p(n).
(n - 1)**3/3
Factor 2*z**2 + 1/4*z**3 + 3/2 + 13/4*z.
(z + 1)**2*(z + 6)/4
Let f(w) = 10*w**4 - 14*w**3 + 8*w**2. Let t(p) = p**5 + p**3. Let r = 49 + -48. Let m(z) = r*f(z) - 2*t(z). Factor m(n).
-2*n**2*(n - 2)**2*(n - 1)
Let z(l) be the first derivative of -l**4/12 + 8*l**3/3 - 32*l**2 - 8*l + 9. Let k(o) be the first derivative of z(o). Factor k(r).
-(r - 8)**2
Let b(r) be the third derivative of r**9/48384 + r**8/16128 - r**7/1008 - r**6/144 + 9*r**5/20 - 3*r**2. Let d(i) be the third derivative of b(i). Factor d(y).
5*(y - 2)*(y + 1)*(y + 2)/4
Let g(w) be the first derivative of -2*w**3/3 + 151*w**2 + 304*w + 71. Suppose g(l) = 0. What is l?
-1, 152
Let b(q) be the second derivative of -3*q**5/20 + q**4 - 4*q**3 + 3*q**2 - 7*q. Let l(s) = s**2 + s + 1. Let a(h) = b(h) + 3*l(h). Solve a(x) = 0 for x.
1, 3
Let t(z) be the second derivative of -5*z**4/12 + 15*z**3/2 - 88*z. Factor t(u).
-5*u*(u - 9)
Suppose -4*a + 2*q + 4 = 0, 5*a + 2*q = 5*q + 4. Let r(w) be the first derivative of 0*w**4 + 0*w**a + w**3 + 5 - 3/5*w**5 + 0*w. Factor r(s).
-3*s**2*(s - 1)*(s + 1)
Let k(p) be the first derivative of 25/8*p**4 - 5/2*p**3 + 14 - 5/2*p**2 + 0*p. Factor k(w).
5*w*(w - 1)*(5*w + 2)/2
Let y(n) be the third derivative of 1/420*n**8 + 0*n**5 + 0*n + 2/525*n**7 + 22*n**2 + 0*n**3 + 0*n**4 + 0 + 0*n**6. Find k such that y(k) = 0.
-1, 0
Let r(w) be the second derivative of 3*w**5/20 + w**4 - 3*w**3/2 - 27*w**2 - 15*w + 2. Factor r(j).
3*(j - 2)*(j + 3)**2
Let y be (-11)/2*(-72)/66. Let q(t) be the third derivative of 0 - 6*t**2 + 1/120*t**y + 0*t + 0*t**4 + 0*t**5 + 0*t**3. Factor q(i).
i**3
Let n be (((-40)/(-12))/(-2))/(6650/(-2280)). Factor -2/7*b**5 + 4/7*b**2 + 6/7*b + 2/7 - 6/7*b**4 - n*b**3.
-2*(b - 1)*(b + 1)**4/7
Suppose -2*a + 12 = -0. Let k be ((-3)/a)/1 + (-4)/(-6). Factor 1/2*t - k - 4/3*t**3 + t**2.
-(t - 1)*(2*t + 1)*(4*t - 1)/6
Factor -790*x**2 + 6 - 2*x**3 + 800*x**2 - 8*x - 6.
-2*x*(x - 4)*(x - 1)
Let r(t) = 3*t + 53. Let v be r(-17). Find m such that -6*m**2 + 2*m + 5*m**v - m = 0.
0, 1
Let i(g) be the first derivative of -g**3 + 51*g**2/2 + 180*g - 257. Factor i(p).
-3*(p - 20)*(p + 3)
Suppose 0 = -39*y + 146 - 29. Let v(p) be the second derivative of 0*p**2 - 1/6*p**4 + 2*p + 0 + 0*p**5 + 1/15*p**6 + 0*p**y. Factor v(o).
2*o**2*(o - 1)*(o + 1)
Factor 10*o**4 - 2*o**5 - 892*o**3 + 14*o**2 - 872*o**3 + 1790*o**3.
-2*o**2*(o - 7)*(o + 1)**2
Let q = 1143 + -1139. Let y(m) be the first derivative of 0*m + 4 - 2/21*m**3 - 1/14*m**q + 0*m**2. Suppose y(t) = 0. What is t?
-1, 0
Let f(j) be the second derivative of j**5/35 + 4*j**4/21 - 8*j**3/3 + 64*j**2/7 - 2*j + 52. Factor f(c).
4*(c - 2)**2*(c + 8)/7
Let a(o) be the second derivative of o**5/30 + 4*o**4/3 + 64*o**3/3 + 512*o**2/3 + o - 54. Find f, given that a(f) = 0.
-8
Let b(h) be the first derivative of -2*h**3/51 - 12*h**2/17 - 64*h/17 + 96. Suppose b(n) = 0. What is n?
-8, -4
Find z such that -2/9*z + 92/9 + 2/9*z**3 - 92/9*z**2 = 0.
-1, 1, 46
Suppose -8*q**2 + 4*q**5 - 24*q**2 - 65*q**4 - 41*q + 97*q**4 + 13*q + 24*q**3 + 0*q**5 = 0. What is q?
-7, -1, 0, 1
Let p(y) = -5*y**4 - 29*y**3 - 21*y**2 + 101*y - 76. Let h(w) = -w**3 + 6*w**2 - w + 1. Let a(u) = 6*h(u) + p(u). Find g such that a(g) = 0.
-7, -2, 1
Let h(a) be the second derivative of a**6/225 - 7*a**5/75 + 2*a**4/5 - 34*a**3/45 + 11*a**2/15 - 4*a + 24. Factor h(d).
2*(d - 11)*(d - 1)**3/15
Let z(s) be the third derivative of 0*s**3 + 1/30*s**4 + 0*s - 28*s**2 + 0 - 1/300*s**5. Determine q, given that z(q) = 0.
0, 4
Let f(m) be the third derivative of m**7/525 + m**6/50 - 31*m**5/150 - 13*m**4/5 + 12*m**3 + 674*m**2. Determine s, given that f(s) = 0.
-6, 1, 5
Suppose 3*p - 62 = 4. Solve 2 + 4*j - 24*j**3 + 9*j**4 + p + 2*j - 51*j**2 = 0 for j.
-1, 2/3, 4
Let r(y) be the first derivative of -6 + 1/36*y**4 - 1/30*y**5 + 1/9*y**3 + 0*y**2 - 1/90*y**6 + 2*y. Let p(b) be the first derivative of r(b). Factor p(k).
-k*(k - 1)*(k + 1)*(k + 2)/3
Factor -1/2*l**2 + 35/2*l - 62.
-(l - 31)*(l - 4)/2
Let p(b) be the second derivative of -30*b - 5/6*b**7 + 2/15*b**6 - 10/3*b**3 + 0 + 109/20*b**5 - 4*b**2 + 29/6*b**4. Suppose p(i) = 0. What is i?
-1, -2/7, 2/5, 2
Suppose 3*q - q = 196. Let -q + 3*g**4 + 3*g**3 + 98 + g**2 + g**5 = 0. What is g?
-1, 0
Factor 56*l - 224*l + 112 + l**2 + 64*l + 67*l + 69*l.
(l + 4)*(l + 28)
Let t(s) be the first derivative of -s**4 + 44*s**3 + 72*s**2 - 272*s - 62. Factor t(k).
-4*(k - 34)*(k - 1)*(k + 2)
Let o(q) be the third derivative of q**6/360 - 7*q**5/180 + 11*q**4/72 - 5*q**3/18 + 8*q**2 + 4*q. Let o(f) = 0. What is f?
1, 5
Let o(u) be the second derivative of u**5/40 + 2*u - 5. Factor o(d).
d**3/2
Let z(h) be the first derivative of 0*h + 8 - 1/10*h**4 + 2/3*h**3 - 4/5*h**2. Factor z(t).
-2*t*(t - 4)*(t - 1)/5
Let o(m) be the third derivative of -m**6/120 - m**5/60 + m**4/24 + m**3/6 - 3*m**2 - 14. Determine s so that o(s) = 0.
-1, 1
Factor 36*k**2 - 45*k + 346*k**3 + 270 - 341*k**3 - 66*k**2.
5*(k - 6)*(k - 3)*(k + 3)
Let -13/2*c**2 - 8*c**3 + 10*c - 2 - 2*c**5 + 17/2*c**4 = 0. Calculate c.
-1, 1/4, 1, 2
Let d be -6 + -6*(3680/225)/(-16). Factor 0 + d*h**2 + 2/5*h.
2*h*(h + 3)/15
Let 0*t - 2/11*t**2 - 14/11*t**4 + 6/11*t**5 + 10/11*t**3 + 0 = 0. Calculate t.
0, 1/3, 1
Let v(z) be the first derivative of z**3/3 - 7*z**2/2 - 8*z - 386. Factor v(f).
(f - 8)*(f + 1)
Factor -2*y + 0 - 4/3*y**2 - 2/9*y**3.
-2*y*(y + 3)**2/9
Solve 0*c + 1/2*c**3 - 1/2*c**5 + 0 - 23/2*c**2 + 23/2*c**4 = 0 for c.
-1, 0, 1, 23
Let d(x) be the first derivative of 5/3*x**2 + 2/3*x**3 - 4/3*x - 8. Let d(k) = 0. Calculate k.
-2, 1/3
Let s(c) = c**2 - c + 2. Let r be s(2). Suppose -4*h + 0 = 2*z - r, 0 = 5*h. Factor -2*v - 2/3*v**z - 4/3.
-2*(v + 1)*(v + 2)/3
Determine p, given that -15*p**2 + 493*p - 249*p - 5*p**3 - 239*p + 15 = 0.
-3, -1, 1
Let n(i) = -6*i. Let h be -1*(0/3 + 0). Let m be n(h). Suppose 10/7*c**3 + 0*c + 2*c**4 + m - 4/7*c**2 = 0. What is c?
-1, 0, 2/7
Suppose 74 = -2*u + 78. What is l in -7/4*l**4 + 0*l + 0*l**3 - 3/2*l**5 + 0 + 1/4*l**u = 0?
-1, -1/2, 0, 1/3
Let d = 4177/24 - 174. Let s(g) be the second derivative of -1/4*g**2 + g + 0 + 1/40*g**5 + d*g**4 - 1/12*g**3. Factor s(l).
(l - 1)*(l + 1)**2/2
Let g = -728 - -730. Let p(f) be the first derivative of -2*f**g + 4/3*f**3 + 0*f + 4 - 1/4*f**4. Factor p(c).
-c*(c - 2)**2
Suppose -5*d - 220 = -70. Let h = d + 151/5. Factor -1/5*j**4 + 0*j**3 + 0*j + 0 + h*j**2.
-j**2*(j - 1)*(j + 1)/5
Let j(i) be the first derivative of 1/12*i**4 + 1/2*i**2 + 1/3*i + 1/3*i**3 + 18. Factor j(q).
(q + 1)**3/3
Let f(l) = 2*l**2 - 44*l - 20. Let x be f(22). Let z be (-37)/x - 58/580. Suppose -z*r**3 + 0 + 1/2*r + 5/4*r**2 = 0. Calculate r.
-2/7, 0, 1
Let o = -1001 - -1004. Let k(j) be the first derivative of -1 + 0*j**4 + 4/5*j**5 + 0*j**2 + 0*j - 4/3*j**o. Suppose k(c) = 0. What is c?
-1, 0, 1
Let v = 735 + -1400. Let x be v/(-119) - 3 - 2. Factor -6/17*c - x*c**2 + 4/17.
-2*(c + 1)*(5*c - 2)/17
Let q(k) be the third derivative of -k**7/70 + 3*k**6/40 + 4*k**5/5 + 3*k**4/2 - 25*k**2. Factor q(a).
-3*a*(a - 6)*(a + 1)*(a + 2)
Let l(k) be the third d