*t**7 + 0 + 1/5*t**4 + 3/5*t**2. Find a, given that y(a) = 0.
-1, 1
Let i(k) be the third derivative of 0 - 8/3*k**4 - 17*k**2 - 64/15*k**5 - 4/5*k**6 + 32/105*k**7 + 0*k + 0*k**3 + 1/12*k**8. Determine r, given that i(r) = 0.
-2, -2/7, 0, 2
Suppose -259*b + 222*b = 0. Solve -49/3*n**3 - 14*n**2 - 3*n + b = 0.
-3/7, 0
Let y = 33 - 29. Factor 5*q**4 + 11*q**y + 2*q**2 + 0*q**2 + 4*q**3 - 14*q**4.
2*q**2*(q + 1)**2
Let w(p) be the first derivative of 3*p**4/32 + 7*p**3/8 - 51*p**2/16 + 27*p/8 + 22. Factor w(x).
3*(x - 1)**2*(x + 9)/8
Factor 5*z**2 + 1/7*z**4 + 12/7*z - 12/7*z**3 - 36/7.
(z - 6)**2*(z - 1)*(z + 1)/7
Let w be 4/(-16)*-16 - 12/3. Let i(h) = -2*h - 9. Let k be i(-7). Factor 0 - 1/3*j**3 + 1/6*j**k + w*j**2 + 0*j - 1/6*j**4.
j**3*(j - 2)*(j + 1)/6
Factor 7/2*o**2 + 13/4*o + 1/4*o**3 + 0.
o*(o + 1)*(o + 13)/4
Suppose -b + 5*n = -10, -n - 4 = b - 2. Let -3*a**2 - a**3 - 2*a**3 + 0*a**3 + b*a**3 + 3 + 3*a = 0. Calculate a.
-1, 1
Factor 16 - 1/4*m**4 - 11/4*m**3 - 4*m - 9*m**2.
-(m - 1)*(m + 4)**3/4
Let a = -65 + 56. Let n be -11 - a - (-5 + 1). What is z in 2/13*z**n - 2/13*z**4 + 0 + 0*z + 0*z**3 = 0?
-1, 0, 1
Let w = 12 - 10. Suppose 0 = -w*d + 5 + 9. Suppose -d*a**3 - a - a + 9*a**3 = 0. Calculate a.
-1, 0, 1
Find n, given that 78 + 35*n**2 + 2312*n - 5*n**4 - 198 - 2422*n + 20*n**3 = 0.
-2, -1, 3, 4
Let w be -6 - (-6)/(-12)*-26. Let h(g) be the first derivative of 1/2*g**6 + 0*g - 1 + 27/4*g**4 + w*g**3 + 3*g**5 + 3*g**2. Let h(c) = 0. What is c?
-2, -1, 0
Let d = 233983/6 - 38997. Factor -1/6*n**3 + 1/2*n**2 + d*n - 1/6*n**4 - 1/3.
-(n - 1)**2*(n + 1)*(n + 2)/6
Let t(q) be the third derivative of -9*q**2 + 0*q**3 - 1/70*q**7 + 0*q**4 + 0*q + 1/20*q**5 + 0 - 1/40*q**6 + 1/112*q**8. Find i, given that t(i) = 0.
-1, 0, 1
Let i = -134 + 134. Let a(k) be the second derivative of 1/8*k**2 + i - 1/12*k**3 - 5*k + 1/48*k**4. Solve a(v) = 0 for v.
1
Let o = -71 - -81. Determine f so that 4*f**2 + f + 9 - 11 - o + 7*f = 0.
-3, 1
Let a(o) be the third derivative of -o**7/1365 + o**5/130 + o**4/78 - 8*o**2 - 5. Factor a(k).
-2*k*(k - 2)*(k + 1)**2/13
Let f(y) = -8*y**4 - 4*y**3 + 11*y**2 + 2*y - 7. Let o(u) = 7*u**4 + 3*u**3 - 10*u**2 + 6. Let t(w) = 6*f(w) + 7*o(w). Factor t(p).
p*(p - 3)*(p - 2)*(p + 2)
Let c(z) be the second derivative of z**4/12 + 5*z**3/3 + 25*z**2/2 - 64*z. Factor c(g).
(g + 5)**2
Let o(y) = -58*y**2 + 1044*y + 3. Let f be o(18). Let -10/17*v**5 - 16/17*v - 72/17*v**2 - 54/17*v**4 - 100/17*v**f + 0 = 0. Calculate v.
-2, -1, -2/5, 0
Factor 10*u - 4*u - 195*u**2 + 198*u**2.
3*u*(u + 2)
Factor 6294*k**3 + k**4 + 10*k**2 + k**4 - 6306*k**3.
2*k**2*(k - 5)*(k - 1)
Let u(r) be the second derivative of r**7/7560 + r**6/180 + r**5/10 + r**4/2 - 9*r. Let t(f) be the third derivative of u(f). Factor t(y).
(y + 6)**2/3
Factor -8/5*g**3 + 2/5*g**4 - 16/5 - 6/5*g**2 + 28/5*g.
2*(g - 4)*(g - 1)**2*(g + 2)/5
Let s(z) be the first derivative of 0*z**5 + 9/2*z**2 + 1/32*z**4 - 1/160*z**6 + 0*z + 0*z**3 - 10. Let m(u) be the second derivative of s(u). Factor m(j).
-3*j*(j - 1)*(j + 1)/4
Let p(n) be the third derivative of 5/36*n**4 - 2/45*n**5 + 0*n - 2/9*n**3 + 1/180*n**6 + 0 + 6*n**2. Factor p(j).
2*(j - 2)*(j - 1)**2/3
Let w be (184/32 + -8)*2*-2. Suppose l = -w + 11. Factor -32/5 - 2/5*p**l + 16/5*p.
-2*(p - 4)**2/5
Let s(j) be the first derivative of j**7/70 - j**6/10 + j**5/4 - j**4/4 - 3*j**2/2 - 11. Let z(o) be the second derivative of s(o). Factor z(a).
3*a*(a - 2)*(a - 1)**2
Let d(g) be the first derivative of 2/21*g**3 + 8/21*g - 2 - 4/7*g**2 + 5/42*g**4. Factor d(a).
2*(a - 1)*(a + 2)*(5*a - 2)/21
Find a, given that -3/8*a + 0 + 3/8*a**3 + 0*a**2 = 0.
-1, 0, 1
Factor 13122/5*w**2 + 162/5*w + 1/10.
(162*w + 1)**2/10
Suppose -99*m + 102*m = 4*o - 11, m = 4*o - 17. Let z(i) be the first derivative of 0*i - 8 + 4/3*i**3 + 0*i**4 - i**2 - 4/5*i**o + 1/3*i**6. Factor z(n).
2*n*(n - 1)**3*(n + 1)
Let j = 65 + -55. Solve 160*m + 2*m**3 + 26*m**2 + 128 + 28*m**2 - j*m**2 - 10*m**2 = 0.
-8, -1
Factor 4/3*p**2 + 8 + 20/3*p.
4*(p + 2)*(p + 3)/3
Let h be (-1 - (1 + -4)) + 0. Suppose -9 + b**h - 6 + 14 = 0. What is b?
-1, 1
Let c = -61 - -264. Let v = -3853/19 + c. Factor 0 - 2/19*n**2 + v*n**3 + 2/19*n**4 - 4/19*n.
2*n*(n - 1)*(n + 1)*(n + 2)/19
Let y(l) be the second derivative of l**6/30 + 2*l**5/5 + 2*l**4 + 31*l**3/6 + 17*l**2/2 - 4*l - 4. Let i(s) = s - 1. Let c(m) = -3*i(m) - 3*y(m). Factor c(x).
-3*(x + 2)**4
Let q(u) = 11*u**3 - 79*u**2 + 146*u + 87. Let a(m) = 12*m**3 - 80*m**2 + 144*m + 84. Let v(t) = 3*a(t) - 4*q(t). What is b in v(b) = 0?
-1/2, 4, 6
Let b(a) be the third derivative of -a**6/10 - 10*a**5/3 - 77*a**4/6 - 20*a**3 + a**2 - 10*a. Factor b(l).
-4*(l + 1)*(l + 15)*(3*l + 2)
Suppose 4 = d - 0. Suppose -d*g + 5*g = 5. Factor g*p**2 - 14*p - 2*p**2 + 20*p.
3*p*(p + 2)
Let k be 102/561 - (-31)/11. Let z(m) be the first derivative of 2*m + 1 - 5/4*m**4 - 2/5*m**5 + 5/2*m**2 + 0*m**k. Suppose z(v) = 0. What is v?
-2, -1, -1/2, 1
Let i(a) = -2*a**2 + 27*a - 33. Let s be i(12). Let w(k) be the second derivative of k**2 + s*k + 2/3*k**3 + 1/6*k**4 + 0. Factor w(r).
2*(r + 1)**2
Let x be 3/(-1 - 2) + 7. Let g(f) be the third derivative of 0 - f**2 + 1/60*f**5 + 1/480*f**x + 1/12*f**3 + 5/96*f**4 + 0*f. Suppose g(h) = 0. Calculate h.
-2, -1
What is m in -2*m**3 + 0 + 8/3*m + 2/3*m**4 + 0*m**2 = 0?
-1, 0, 2
Let a(p) be the second derivative of -p**4/36 + p**3/6 + p - 18. Solve a(i) = 0.
0, 3
Let r(h) be the third derivative of 0*h + 1/160*h**6 + 1/280*h**7 - 3/80*h**5 + 0 + 16*h**2 + 1/4*h**3 - 1/32*h**4. Factor r(b).
3*(b - 1)**2*(b + 1)*(b + 2)/4
Let m = 3611/25081 - 4/3583. Factor 0 + 3/7*s**3 + 3/7*s**4 + 0*s + m*s**2 + 1/7*s**5.
s**2*(s + 1)**3/7
Let i be 6 - 16 - (2048/24)/(-8). Suppose 1/6*a**5 + 0 + 0*a + i*a**2 - 2/3*a**3 - 1/6*a**4 = 0. What is a?
-2, 0, 1, 2
Let w(q) = q**3 + 3*q**2 - 2. Let m be w(1). Suppose 0 = -p + 2*p - 5, 3*x - 19 = -2*p. Factor 18*j**4 + 18*j**x + 4*j**m - 8*j**4 - 4*j**3.
2*j**2*(j + 1)*(5*j + 2)
Factor 363/2*n**4 + 1518*n**3 + 96 + 1104*n + 3438*n**2.
3*(n + 4)**2*(11*n + 2)**2/2
Let q be (352/(-56) - -6)*14/(-6). Factor 3*a + 4/3*a**2 + q.
(a + 2)*(4*a + 1)/3
Let y(v) be the second derivative of v**9/756 - v**7/105 + v**5/30 + 2*v**3 - 12*v. Let j(k) be the second derivative of y(k). Suppose j(r) = 0. Calculate r.
-1, 0, 1
Let b(k) be the first derivative of -k**9/1008 + k**7/70 - k**6/60 - 3*k**5/40 + k**4/4 - 14*k**3/3 - 18. Let h(u) be the third derivative of b(u). Factor h(s).
-3*(s - 1)**3*(s + 1)*(s + 2)
Let m be 74/20 - 352/110. Solve -1/2 + m*t**2 + 1/2*t**3 - 1/2*t = 0.
-1, 1
Let o(p) = -3*p**4 - p**3 + p**2 + p - 1. Let b(y) = -65*y**4 - 30*y**3 + 20*y**2 + 30*y - 15. Let t(q) = -b(q) + 20*o(q). Solve t(l) = 0.
-1, 1
Let f(i) be the first derivative of 7*i**8/192 - 3*i**7/16 + 5*i**6/24 - i**5/12 - 14*i**3/3 - 3. Let l(p) be the third derivative of f(p). Factor l(w).
5*w*(w - 2)*(7*w - 2)**2/4
Let a(g) be the third derivative of 0*g**3 + 0*g**7 + 0*g**6 + 0*g + 1/896*g**8 + 0 + 0*g**5 + 4*g**2 + 0*g**4. Factor a(k).
3*k**5/8
Let d be -19*-3*(-5)/15. Let r be d + 19 + 4/2. Find n such that 4*n - 5*n**3 - 3*n**3 - r + 4*n**3 + 2*n**4 = 0.
-1, 1
Let u(m) be the third derivative of -m**6/120 - m**5/2 + m**4/24 + 5*m**3 + 2*m**2 - m. Solve u(t) = 0.
-30, -1, 1
Let p = 3337/1977 + -14/659. Factor -2*d - p - 1/3*d**2.
-(d + 1)*(d + 5)/3
Let p be 0 + -1 + 33*38/1045. Suppose 2/5*f + p + 1/5*f**2 = 0. What is f?
-1
Let d(j) be the second derivative of 64*j**7/2835 + 4*j**6/405 + j**5/540 - 7*j**4/3 + 44*j. Let z(o) be the third derivative of d(o). Factor z(t).
2*(16*t + 1)**2/9
Let f(b) = b**2 + 18*b + 36. Let k be f(-16). Factor 2*l**2 - 2*l**k - 66*l + 66*l.
-2*l**2*(l - 1)*(l + 1)
Let v be 2/6*80/160. Let g(p) be the second derivative of 2/3*p**3 + 1/60*p**5 + 4/3*p**2 + 0 + v*p**4 + 11*p. Factor g(a).
(a + 2)**3/3
Let m(p) = 2*p**4 + 11*p**3 + 7*p**2 + 11*p - 9. Let l(x) = -x**4 - 6*x**3 - 4*x**2 - 6*x + 5. Let f = 0 + -6. Let z(o) = f*m(o) - 11*l(o). Factor z(w).
-(w - 1)**2*(w + 1)**2
Suppose -72*d = -22*d. Factor 1/3*l**3 - 1/3*l**5 - 1/3*l**4 + 0 + d*l + 1/3*l**2.
-l**2*(l - 1)*(l + 1)**2/3
Let h(b) = -2*b**4 - 23*b**3 - 72*b**2 - 33*b + 128. Suppose 0*d + 2*d - 4 = 0. Let x(o) 