be the third derivative of v**6/720 - v**4/48 + v**3/18 + 166*v**2. Factor h(o).
(o - 1)**2*(o + 2)/6
Let a(k) be the third derivative of -k**5/330 - k**4/132 - 7*k**2 - 4*k. Determine i, given that a(i) = 0.
-1, 0
Let l(g) be the first derivative of 5*g - 1/2*g**4 + 1/5*g**6 + 0*g**2 - 6 + 1/2*g**3 - 3/20*g**5. Let d(z) be the first derivative of l(z). Solve d(w) = 0.
-1, 0, 1/2, 1
Let f(m) be the third derivative of m**5/12 + 5*m**4/2 + 55*m**3/6 - 197*m**2. Factor f(z).
5*(z + 1)*(z + 11)
Let a(n) = -4*n**2 - 2*n + 6. Let m be a(5). Let c = 17 - m. What is t in 4 + 41*t - 91*t**2 + 256*t**2 + 7*t + c*t**3 = 0?
-1, -2/11
Let x = 40 + -19. Factor 21 - 48*z**2 - 3 + 3*z - x*z**3 + 48*z.
-3*(z - 1)*(z + 3)*(7*z + 2)
Let b(d) = -4*d**2 - 28*d - 80. Let p(a) = -2. Let k(z) = -b(z) + 20*p(z). Let k(i) = 0. What is i?
-5, -2
Let d(r) = r**3 - 32*r**2 + 3*r - 93. Let v be d(32). Suppose 5*z + 7 = -v*c + 2*c, -4 = 2*z. Factor 1/9*o**c + 0 + 1/3*o**2 + 0*o.
o**2*(o + 3)/9
Let g(q) be the third derivative of q**6/960 - 19*q**5/240 + 33*q**4/16 - 27*q**3/2 + 148*q**2. Factor g(v).
(v - 18)**2*(v - 2)/8
Let v = 3806 + -3804. What is w in 1/4*w**3 - 1/4*w**v + 0 + 0*w = 0?
0, 1
Suppose 40/3*g**5 - 10/3*g**2 + 108*g**3 - 28/3*g + 0 - 326/3*g**4 = 0. What is g?
-1/4, 0, 2/5, 1, 7
Let s(z) = 10*z**5 + 13*z**4 - 283*z**3 + 527*z**2 + 13. Let f(d) = 5*d**5 + 6*d**4 - 141*d**3 + 264*d**2 + 6. Let g(j) = 13*f(j) - 6*s(j). Factor g(r).
5*r**2*(r - 3)**2*(r + 6)
Let f(j) = j**2 + 96*j - 764. Let m be (-9)/(27/6) + -2. Let b(a) = -9*a**2 - 768*a + 6111. Let l(n) = m*b(n) - 33*f(n). Let l(i) = 0. What is i?
16
Suppose 0 = -5*w + 20, 5*n + w = -4*w + 60. Factor 3*x**2 - 4*x + 2 + n*x**2 - 9*x**2.
2*(x - 1)**2
Let t(n) be the second derivative of -2/15*n**3 + 1/5*n**2 + 32*n - 1/75*n**6 + 0*n**4 + 0 + 1/25*n**5. Factor t(i).
-2*(i - 1)**3*(i + 1)/5
Let 3/2*z**2 - 51 - 45/2*z = 0. Calculate z.
-2, 17
Let z(j) be the third derivative of j**6/90 + j**5/10 + j**4/3 - 3*j**3/2 + 16*j**2. Let o(p) be the first derivative of z(p). Solve o(t) = 0.
-2, -1
Let h = -6464639/780 - -8288. Let k(u) be the third derivative of 0 + h*u**6 + 1/130*u**5 + 0*u + 0*u**3 + 10*u**2 + 1/78*u**4. Factor k(v).
2*v*(v + 1)*(v + 2)/13
Let y(c) be the first derivative of 0*c**3 + 0*c**2 + 5/4*c**4 - c**5 + 0*c - 4. Suppose y(q) = 0. What is q?
0, 1
Factor 4/3*s**2 + 80/3*s + 0.
4*s*(s + 20)/3
Let t(z) be the second derivative of 0*z**3 - 5*z + 0 + 1/1080*z**6 + 1/135*z**5 - 7/2*z**2 + 1/54*z**4. Let v(n) be the first derivative of t(n). Factor v(l).
l*(l + 2)**2/9
Let p = -53722/17 + 3162. What is k in 2/17*k**2 + 16/17*k + p = 0?
-4
Find v, given that 0 - 11/4*v**3 + 43/2*v**2 + 4*v = 0.
-2/11, 0, 8
Let -1/5*s**3 - 3/5*s + s**2 + 0 - 1/5*s**4 = 0. What is s?
-3, 0, 1
Let o be 1 + 1 + (-1344)/720. Let x(i) be the first derivative of 1/6*i**4 - 4/3*i - 5/3*i**2 + 9 + o*i**5 - 2/3*i**3. Suppose x(s) = 0. Calculate s.
-1, 2
Factor 4/7*w + 2/7*w**3 - 10/7*w**2 + 16/7.
2*(w - 4)*(w - 2)*(w + 1)/7
Let n(w) = -w**3 + 3*w**2 - 3*w + 4. Let q(s) = s**3 - s**2 - 2*s + 2. Let f be q(0). Let k be n(f). Factor 0*d**3 - 2/5*d**5 + 0 - 4/5*d**k + 4/5*d**4 + 2/5*d.
-2*d*(d - 1)**3*(d + 1)/5
Let s(m) be the second derivative of -3*m**6/10 + 33*m**5/10 - 49*m**4/4 + 19*m**3 - 12*m**2 - 71*m. Determine i so that s(i) = 0.
1/3, 1, 2, 4
Suppose 0 = 4*s - 8, -10*o + 3*s - 6 = -12*o. Solve 0*q - 216/11*q**3 + 150/11*q**5 + o - 48/11*q**2 - 180/11*q**4 = 0.
-2/5, 0, 2
Let v be (-6)/(-5)*(-4250)/80. Let f = 64 + v. Factor 1/2*y**4 + 0*y**2 - f*y**5 + 0*y**3 + 0 + 0*y.
-y**4*(y - 2)/4
Let s(n) = -25*n**2 - 55*n. Let p(i) = 6*i**2 + 14*i. Let h(c) = 9*p(c) + 2*s(c). Find b such that h(b) = 0.
-4, 0
Let h(a) be the third derivative of -a**7/1155 + 2*a**6/165 + a**5/11 + 8*a**4/33 + a**3/3 + 321*a**2. Solve h(g) = 0.
-1, 11
Let t(a) = a**2 + 35*a - 88. Let x(g) = 12*g**2 + 453*g - 1143. Let s(d) = 27*t(d) - 2*x(d). Factor s(l).
3*(l - 2)*(l + 15)
Let u(g) = -g**3 + 20*g**2 - 18*g - 9. Let c be u(19). Factor 61 + 5*d**4 - 5*d**2 - 10*d**3 + c*d - 61.
5*d*(d - 2)*(d - 1)*(d + 1)
Let q be 3 - 5/((-10)/(-12)). Let j = q - -5. What is s in j*s - 2*s**3 + 4*s**2 + 0*s**3 + 0*s**3 - 4 = 0?
-1, 1, 2
Let y(p) = 2*p**3 - 104*p**2 - 141*p + 1857. Let x be y(53). Factor 2/19*z**x - 8/19 + 0*z.
2*(z - 2)*(z + 2)/19
Let g be (-3)/(-2)*(-334)/(-1503). Factor 0*x + 4/3 - x**2 - g*x**3.
-(x - 1)*(x + 2)**2/3
Suppose 558 = 9*k + 531. Let w(i) be the first derivative of -1/3*i**3 + 7 - i**2 + k*i. Factor w(q).
-(q - 1)*(q + 3)
Let w(g) = g**2 + 3. Let n be w(0). Suppose -4*t + 14 - 2 = 0. What is h in 23 - 60*h - 21*h**t + 3*h**4 + 0*h**n + 54*h**2 - 10 + 11 = 0?
1, 2
Let v(j) = 14*j**2 - 8*j - 17. Let c be v(-1). Factor 0*a**2 + 1/3*a**c + 0*a + 0*a**3 + 2/3*a**4 + 0.
a**4*(a + 2)/3
Let g = -10979/3 - -3660. Find u, given that g*u**3 - 2/3 + 0*u**2 - u = 0.
-1, 2
Suppose 2*n - 5*r = -3, n + 5*r - 27 = -n. Suppose n + 14*q**2 + 3*q - 21*q - 14*q + 18 - 2*q**3 = 0. What is q?
2, 3
Let a = 3649 + -3647. Determine h, given that -5/4*h**a + 0*h + 5 = 0.
-2, 2
Let j(l) be the second derivative of l**7/630 - l**5/30 + 13*l**4/12 - 3*l. Let u(q) be the third derivative of j(q). Factor u(w).
4*(w - 1)*(w + 1)
Let d = 3026/15255 - -5/3051. Factor 1/5 - 1/5*l**2 + d*l**3 - 1/5*l.
(l - 1)**2*(l + 1)/5
Let i = -3805 - -9189. Let f = 59274/11 - i. Factor -2/11*o**5 + 8/11 - 32/11*o - 38/11*o**3 + 14/11*o**4 + f*o**2.
-2*(o - 2)**2*(o - 1)**3/11
Let f(s) be the third derivative of -s**8/336 + s**7/14 - 13*s**6/60 - s**5/30 + 9*s**4/8 - 13*s**3/6 - s**2 - 8*s. Let f(m) = 0. Calculate m.
-1, 1, 13
Let f(j) = j**2 - 15*j - 30. Let h be f(17). Factor h*k - 2*k + 0*k**2 - 7*k - k**2 - 4.
-(k + 1)*(k + 4)
Let z(o) be the second derivative of o**4/72 - o**3/18 - o**2/4 - 44*o + 1. Let z(n) = 0. What is n?
-1, 3
Let j be 2 + -5 - (25840/(-209))/40. Factor -j*l**3 - 2/11 - 1/11*l**4 + 1/11*l + 3/11*l**2.
-(l - 1)**2*(l + 1)*(l + 2)/11
Let n be -2*4/(-36)*(-18)/(-24). Factor -n*w**2 - 1/6 + 1/3*w.
-(w - 1)**2/6
Suppose 21/4*j**2 + 19/4 + 1/4*j**3 + 39/4*j = 0. What is j?
-19, -1
Suppose 5*u - 13 = 7, -2*u = -4*w. Suppose 0*m - 2*m = w*n, 5*n + 25 = 0. Factor -3*x**4 + x**3 + 2*x**3 + x**m - 3*x**2 + 0*x**3 + 2*x**2.
x**2*(x - 1)**3
Let v(x) be the third derivative of -x**8/2352 + x**7/735 + x**6/840 - x**5/210 - 19*x**2 - 6. Determine f so that v(f) = 0.
-1, 0, 1, 2
Suppose 8*o - 13*o = -5*x - 15, 2*o = -5*x + 6. Let a(d) be the second derivative of d - 1/60*d**5 + 0*d**3 + x*d**2 + 0 - 1/18*d**4. Factor a(j).
-j**2*(j + 2)/3
Let v be (-2)/5 + (-9)/15. Let l be (v - -4) + -2 + 2. Suppose -2*a - 3*a**2 + 6 - l + 0*a + 3*a**3 - a = 0. What is a?
-1, 1
Let x(v) be the first derivative of -56 - 3*v**2 - 1/18*v**3 - 54*v. Factor x(j).
-(j + 18)**2/6
Factor 5 - 9 + 5 - 9*w + 2 - 3*w**3 + 9*w**2.
-3*(w - 1)**3
Let l(s) be the third derivative of -s**8/168 + s**7/210 + s**6/36 - s**5/30 - 14*s**3/3 + 10*s**2. Let y(p) be the first derivative of l(p). Factor y(x).
-2*x*(x - 1)*(x + 1)*(5*x - 2)
Factor 1/2*p**3 + 0 + 2*p - 5/2*p**2.
p*(p - 4)*(p - 1)/2
Suppose 140*i + 121 - 55 - 5*i**2 + 79 = 0. What is i?
-1, 29
Let q(t) be the third derivative of -t**7/1365 - t**6/130 - 2*t**5/195 + t**4/26 + 5*t**3/39 + 225*t**2. Solve q(y) = 0 for y.
-5, -1, 1
Let a(k) be the second derivative of k**5/40 + 5*k**4/24 + 2*k**3/3 + k**2 + 62*k. Suppose a(n) = 0. What is n?
-2, -1
Suppose 632*f - 643*f - 1 + 1 = 0. Factor -2/9*i + f - 2/9*i**2.
-2*i*(i + 1)/9
Let y(f) be the first derivative of f**6/90 + f**5/60 - f**4/36 - f**3/18 + 13*f + 11. Let a(p) be the first derivative of y(p). Let a(x) = 0. What is x?
-1, 0, 1
Factor -5/3*w**2 + 0 + 1/3*w**4 + 4/3*w**3 + 0*w.
w**2*(w - 1)*(w + 5)/3
Let y(g) = -5*g**2 + 98*g + 867. Let w(a) = -3*a**2 + 99*a + 867. Let u(p) = 4*w(p) - 3*y(p). Factor u(h).
3*(h + 17)**2
Let k(i) = -i**2 - 1. Let c(w) = -15*w**2 - 150*w + 125. Let h(d) = -c(d) + 20*k(d). Solve h(a) = 0 for a.
1, 29
Let i(p) = 9*p**2 - 170*p - 17. Let d be i(19). Let o(t) be the second derivative of -2/5*t**5 + 0*t**3 + 0*t**d + 5*t + 1/3*t**4 + 0 + 2/15*t**6. Factor o(z).
4*z**2*(z - 1)**2
Let n(a) = -a**3 + 2. Let z be 30/4*4/5. Let p(q) = -5 + 2*q**2 - 4 - 4 + 7*q**3 - 3*q**2. Let 