erivative of -t**6/90 + 2*t**4/3 + 5*t**3/6 + 9*t. Let z(j) be the second derivative of a(j). Factor z(b).
-4*(b - 2)*(b + 2)
Factor -7/3*o**3 - 17/3*o**2 - 1/3*o**4 - 2 - 17/3*o.
-(o + 1)**2*(o + 2)*(o + 3)/3
Let v(a) be the first derivative of a**6/2 + 9*a**5/5 - 6*a**4 - 12*a**3 + 24*a**2 - 483. Solve v(d) = 0.
-4, -2, 0, 1, 2
Let v(g) be the first derivative of 7*g**2/2 - 70*g - 25. Let i be v(10). Factor 1/4*c**5 - 1/4*c**2 + 0 + i*c - 3/4*c**4 + 3/4*c**3.
c**2*(c - 1)**3/4
Let v be (1/(-2))/((-2)/(-32)). Let m be (-38)/v - (0 + (-4)/(-16)). Factor -g + 0 - 7/2*g**3 - m*g**2.
-g*(g + 1)*(7*g + 2)/2
Determine m, given that m**3 + 19/6*m - 2/3 + 29/6*m**2 = 0.
-4, -1, 1/6
Let r(m) be the first derivative of -3/8*m**3 + 3/4*m**2 + 1/16*m**4 - 8*m + 12. Let h(l) be the first derivative of r(l). Determine w, given that h(w) = 0.
1, 2
Factor -8*s**3 - 8*s**4 + 17*s**3 - 12*s + 5*s**4.
-3*s*(s - 2)**2*(s + 1)
Let t(w) be the first derivative of w**7/42 + 2*w**6/45 + w**5/60 - 2*w + 2. Let m(s) be the first derivative of t(s). Factor m(i).
i**3*(i + 1)*(3*i + 1)/3
Suppose b = 2*u + 8, 2*b + 3*u + 2*u = -11. Suppose 3*x - 8 = -x. Solve -x*f - 4*f**3 + b*f**5 + 5*f - f = 0 for f.
-1, 0, 1
Let w(j) be the third derivative of -j**5/20 - j**4/2 - 3*j**3/2 + 91*j**2. Let w(s) = 0. What is s?
-3, -1
Factor 6/5 - 3*u - 3/5*u**3 + 12/5*u**2.
-3*(u - 2)*(u - 1)**2/5
Factor 6*r**2 + 2*r**3 + 2/9*r**5 - 12*r - 14/9*r**4 + 0.
2*r*(r - 3)**3*(r + 2)/9
Factor 10/3*s - 8/3*s**2 - 4/3 + 2/3*s**3.
2*(s - 2)*(s - 1)**2/3
Let p(y) be the second derivative of -y**6/10 - 9*y**5/10 + 86*y. Factor p(k).
-3*k**3*(k + 6)
Suppose 12*a - 26 - 22 = 0. Let q(c) be the third derivative of 0*c**3 - 1/48*c**a + 0 - 1/120*c**5 - 4*c**2 + 0*c. Factor q(k).
-k*(k + 1)/2
Let h(p) be the first derivative of 6 - 1/200*p**6 + 0*p + 5/2*p**2 + 0*p**3 - 1/40*p**4 + 1/50*p**5. Let b(f) be the second derivative of h(f). Factor b(m).
-3*m*(m - 1)**2/5
Let v = -9977/9 - -3331/3. Factor -2/9*w**3 + 4/3 - 26/9*w + v*w**2.
-2*(w - 6)*(w - 1)**2/9
Suppose 20 + 25 = 20*d - 5*d. Factor 0*b + 16/7*b**2 - 4/7*b**5 + 0*b**d + 0 - 12/7*b**4.
-4*b**2*(b - 1)*(b + 2)**2/7
Let h(f) be the second derivative of f**7/70 - 9*f**5/100 + f**4/10 + 2*f + 114. What is o in h(o) = 0?
-2, 0, 1
Let h = 1546 + -23204/15. Let p = h - -34/15. Factor 4/3*u**2 + p*u - 2/3*u**4 - u**3 + 1/3*u**5 + 0.
u*(u - 2)**2*(u + 1)**2/3
Suppose 3*v + 4 + 11 = 0, 3*i + 58 = -2*v. Let b = 21 + i. Factor 8*q**5 - 32 + 16*q**2 - 16*q + 0*q**b - 2*q**4 + 8*q**3 - 9*q**5.
-(q - 2)**2*(q + 2)**3
Factor 4*p**4 + 525*p**2 - 497*p**2 - 20*p**3 - 3 - 12*p + 0 + 3.
4*p*(p - 3)*(p - 1)**2
Let j(f) be the first derivative of -10/3*f**3 + 2/5*f**5 + 8*f + 3/2*f**4 - 3*f**2 + 38. Solve j(x) = 0.
-4, -1, 1
Let f(m) = 2*m**3 + 185 - m + 3*m**4 + 10*m**2 - m - 184. Let v(k) = -k**4 - k**3 - 3*k**2 + k. Let s(h) = 2*f(h) + 7*v(h). Factor s(y).
-(y - 1)*(y + 1)**2*(y + 2)
Let h(k) = -7*k**3 + 41*k**2 + 288*k + 260. Let r(v) = -5*v**3 + 39*v**2 + 288*v + 259. Let y(q) = -3*h(q) + 4*r(q). Factor y(o).
(o + 1)*(o + 16)**2
Suppose 3/7*b**3 + 48/7*b - 24/7*b**2 + 0 = 0. Calculate b.
0, 4
Let w be (-33)/(-9) + -4 + -7*78/(-126). Factor -2*u**2 + 1/6*u**w + 1/6*u**3 - 14/3*u - 8/3.
(u - 4)*(u + 1)*(u + 2)**2/6
Let a be (3/4)/((-4)/((-192)/81)). Let w(p) be the first derivative of a*p**2 + 2/3*p + 2/27*p**3 - 6. Factor w(s).
2*(s + 1)*(s + 3)/9
Let h(k) be the third derivative of -k**7/1680 + k**6/160 + k**5/20 + 13*k**4/96 + 3*k**3/16 - 73*k**2. Factor h(f).
-(f - 9)*(f + 1)**3/8
Let f(n) be the first derivative of 1/2*n**3 + 3/8*n**4 + 9 + 0*n + 0*n**2. Determine q, given that f(q) = 0.
-1, 0
Suppose -5*h + x + 1 + 1 = 0, -5*h - 4*x = -17. Let w = 173 + -171. Factor -6*g**4 + 0*g**w - 2*g**2 + h + 3*g**4 + 4*g**4.
(g - 1)**2*(g + 1)**2
Suppose -9 - 3*v + 1/3*v**3 + v**2 = 0. What is v?
-3, 3
Let x(r) be the third derivative of 22*r**2 + 0 + 0*r + 5/27*r**4 - 8/27*r**3 - 1/60*r**6 - 1/45*r**5. Suppose x(s) = 0. What is s?
-2, 2/3
Let d(t) be the second derivative of t**6/160 - t**5/40 - 3*t**4/32 + 23*t**2/2 + 20*t. Let q(n) be the first derivative of d(n). Factor q(s).
3*s*(s - 3)*(s + 1)/4
Determine p, given that 35/2*p - 45/4*p**2 + 0 + 5/4*p**3 = 0.
0, 2, 7
Let f(p) be the third derivative of p**7/70 - 2*p**6/5 + 63*p**5/20 + 2*p**4 - 32*p**3 + 15*p**2 - p. Solve f(z) = 0.
-1, 1, 8
Let p = 612 + -610. Factor -4/5 - p*o**3 - 18/5*o - 24/5*o**2.
-2*(o + 1)**2*(5*o + 2)/5
Let y(f) = -f**3 + 13*f**2 - 7*f - 60. Let u be y(12). What is n in 8/5*n + u - 4/5*n**2 = 0?
0, 2
Let n(t) be the second derivative of 7/66*t**3 + 0 + 1/220*t**5 + 5/132*t**4 - 7*t + 3/22*t**2. Factor n(o).
(o + 1)**2*(o + 3)/11
Let c = -29 + 32. Find z, given that 13*z - 8*z**4 - 13*z - 12*z**5 + 4*z**c + 0*z**3 = 0.
-1, 0, 1/3
Suppose 6*f = 2*c, 0 = 61*c - 60*c - 4*f + 1. Factor -12/5*z - 3/5*z**4 - 3*z**c - 24/5*z**2 + 0.
-3*z*(z + 1)*(z + 2)**2/5
What is h in 2/5*h**3 + 0*h**2 + 2/5*h**4 + 0*h + 0 = 0?
-1, 0
Solve -37*r - 56*r**4 - r**5 - 58*r**3 + 486 - 300*r**2 - 152*r + 70*r**4 + 48*r**3 = 0.
-3, -2, 1, 9
What is q in -36/5 + 14*q - 2/5*q**3 - 32/5*q**2 = 0?
-18, 1
Suppose 33 - 276 = -81*w. Solve 3/2*g**4 - 3*g**3 + w*g + 0 - 3/2*g**2 = 0.
-1, 0, 1, 2
Let q be 6*1/27 - (-1432)/36. Let c be (q/(-250))/((-2)/10). What is h in -16/5*h**4 + 4*h**2 + 12/5*h**3 - 12/5*h - c = 0?
-1, -1/4, 1
Let y(x) be the second derivative of -15*x + x**2 - 1/120*x**6 + 1/6*x**3 - 1/8*x**4 - 1/16*x**5 + 0. Factor y(f).
-(f - 1)*(f + 2)**3/4
Let 2 + 35*i**3 - 25*i**4 + 55*i**2 - 32 - 51*i + 16*i = 0. What is i?
-1, -3/5, 1, 2
Let s(u) = -7 - 12*u - 2 - 2 + 3*u**2 - 2*u**2. Let f be s(13). Find x such that 0*x + 1/2*x**3 + 1/4*x**f + 0 + 1/4*x**4 = 0.
-1, 0
Let g(f) be the third derivative of -f**7/210 - f**6/120 - 28*f**2. Determine l, given that g(l) = 0.
-1, 0
Let -2/3*t**3 - 248/3*t + 68/3*t**2 + 80 = 0. What is t?
2, 30
Let i(x) = 5*x - 20. Let b be i(5). Let z(d) be the first derivative of 1/6*d**4 - 2/9*d**3 + 2 + 0*d + 2/15*d**b - 1/3*d**2. Factor z(s).
2*s*(s - 1)*(s + 1)**2/3
Let i = 77 - 47. Factor -i + 2*u**4 + 3*u + 46 - 14*u**3 + 36*u**2 - 43*u.
2*(u - 2)**3*(u - 1)
Let g(y) be the first derivative of y**6/24 - y**5/4 + 7*y**4/16 - y**3/4 + 87. Factor g(v).
v**2*(v - 3)*(v - 1)**2/4
Let d(v) = -v - 5. Let a = 1 - 9. Let m be d(a). Determine c so that -3*c**2 - 3*c**5 - 4*c**m + 3*c**3 + 4*c**3 + 3*c**4 = 0.
-1, 0, 1
Let -72 - 141*m + 129*m + 18*m**2 + 2*m**3 + m**3 = 0. Calculate m.
-6, -2, 2
Suppose -3*i = r + 18, -7*i = 3*r - 5*i + 19. Let j(f) = -f**3 + 3*f**2. Let a(l) = 2*l**3 - 6*l**2. Let d(c) = r*a(c) - 5*j(c). Factor d(w).
-w**2*(w - 3)
Determine j so that -2495*j**2 - 30 - 20*j + 8 + 2497*j**2 = 0.
-1, 11
Suppose -1/6*z**5 + 25/6*z**2 + 2/3 - 8/3*z + 7/6*z**4 - 19/6*z**3 = 0. Calculate z.
1, 2
Let f(b) = -b**4 + b**3 - 2*b**2 + 2*b. Let w(k) = k**3 + 5*k - 14*k**4 - k**2 + 12*k**4 + k**3 - 4*k**2. Let r(t) = 5*f(t) - 2*w(t). Factor r(q).
-q**3*(q - 1)
Let c(l) = l**4 + l**3 - l - 2. Let y(x) = x**5 + 4*x**4 - 11*x**3 - 10*x**2 + 56*x + 64. Let a(u) = -20*c(u) + 5*y(u). Factor a(r).
5*(r - 3)**2*(r + 2)**3
Find k such that 0 + 15/2*k**2 + 3/2*k**4 + 6*k**3 + 3*k = 0.
-2, -1, 0
Factor 5/4*d**2 + 10*d - 5/2*d**3 + 25/4.
-5*(d + 1)**2*(2*d - 5)/4
Let j(v) be the first derivative of -v**4/16 + 37*v**3/12 - 45*v**2 + 81*v + 313. Factor j(w).
-(w - 18)**2*(w - 1)/4
Let d(v) be the first derivative of v**6/15 - v**5/25 - v**4/10 + v**3/15 - 148. Find m such that d(m) = 0.
-1, 0, 1/2, 1
Suppose -4*i - 39 = -h - 35, -5*i - h = -4. Factor -4/3*x**2 + 0*x + 2/3*x**5 - 8/3*x**4 + 10/3*x**3 + i.
2*x**2*(x - 2)*(x - 1)**2/3
Let k(o) be the third derivative of 5*o**6/72 + 2*o**5/9 - 11*o**4/8 - 9*o**3 + 88*o**2. Let k(t) = 0. What is t?
-9/5, 2
Let b(n) be the third derivative of n**8/16800 + n**7/3150 + n**4/24 + 19*n**2. Let p(s) be the second derivative of b(s). Let p(q) = 0. Calculate q.
-2, 0
Suppose h - 6 = -2*h. Factor -p - h*p**3 - 5*p - 4*p - 8*p**2 - 4 + 0*p.
-2*(p + 1)**2*(p + 2)
Let i be (6/21 + (-7 - 889/(-147)))*-1. Factor -g + 1/3*g**2 + i.
(g - 2)*(g - 1)/3
Determine u, given that 1/5*u**4 - 3/5*u**2 + 2/5 - 1/5*u**3 + 1/5*u = 0.
-1, 1, 2
Factor -10*c**3 + 0 + 160*c + 5/2*c**4 