(f) be the first derivative of -4*f**5/5 + 8*f**3/3 - 4*f + 11. Determine k, given that h(k) = 0.
-1, 1
Suppose 2*i + 48 = 6*i. Find v, given that -19*v + 0*v**2 - 6 - 3*v**3 - i*v**2 + 4*v = 0.
-2, -1
Suppose 0*x + 72/19*x**2 - 22/19*x**4 + 0 + 2/19*x**5 + 48/19*x**3 = 0. What is x?
-1, 0, 6
Let g be (-32)/(-18) - (-6)/27. Factor 0*f**3 - 2/5*f**g + 0 + 0*f + 2/5*f**4.
2*f**2*(f - 1)*(f + 1)/5
Let l(s) be the third derivative of s**6/720 + s**5/180 + 3*s**2. Factor l(w).
w**2*(w + 2)/6
Let s(h) be the second derivative of -h**5/140 - h**4/28 + 2*h**3/21 + 2*h. Factor s(v).
-v*(v - 1)*(v + 4)/7
What is n in 9/8 + 29/4*n**2 + 5/2*n**3 + 11/2*n - 3/8*n**4 = 0?
-1, -1/3, 9
Let g be ((-6)/(-4))/(((-24)/1)/(-4)). Let u(v) be the first derivative of 1 - 3/5*v**5 - v**2 + g*v**4 + v**3 + 1/6*v**6 + 0*v. Solve u(m) = 0 for m.
-1, 0, 1, 2
Let f = 533/3 + -176. Find p, given that f*p - 7/3*p**4 - 5/3*p**3 + 3*p**2 - 2/3 = 0.
-1, 2/7, 1
Let y(a) be the first derivative of 2*a**5/45 + a**4/9 - 2*a**3/9 - 8*a**2/9 - 8*a/9 + 7. Suppose y(j) = 0. What is j?
-2, -1, 2
Let n be (-1)/3 + (-168)/(-72). Let o(j) be the third derivative of 0*j**4 + 2*j**n + 0 - 1/6*j**3 + 1/60*j**5 + 0*j. Factor o(c).
(c - 1)*(c + 1)
Let a(v) be the third derivative of -v**9/60480 + v**7/3360 + v**6/1440 + v**4/8 - 4*v**2. Let b(j) be the second derivative of a(j). Let b(u) = 0. Calculate u.
-1, 0, 2
Let q be (-3)/(-9) + (-4)/12. Suppose -n = -q*n. Factor n + 0*s**3 - 2/7*s**4 + 2/7*s**2 + 0*s.
-2*s**2*(s - 1)*(s + 1)/7
Let r be ((-27)/(-6))/((-15)/(-10)). Let t(h) be the third derivative of 0 + 0*h + 0*h**r - 2*h**2 + 1/12*h**4 + 1/30*h**5. Factor t(y).
2*y*(y + 1)
Let d(k) = k + 8. Let v be d(-6). Factor -w**2 - 2*w**v + 2*w**2.
-w**2
Let l(y) = -2*y + 69. Let x be l(32). Find m, given that 0*m - 3/2*m**2 - 3/4*m**3 + 15/4*m**4 + 0 - 3/2*m**x = 0.
-1/2, 0, 1, 2
Factor 4*s**3 - 17*s**4 + 12*s**3 - 2*s**4 + 7*s**4 - 4*s**2.
-4*s**2*(s - 1)*(3*s - 1)
Let m = 55 + -382/7. Suppose -s - 5/7*s**2 - 1/7*s**3 - m = 0. What is s?
-3, -1
Let g(m) be the third derivative of 2*m**7/105 + m**6/15 + m**5/15 - 20*m**2. Solve g(u) = 0.
-1, 0
Let n(k) be the first derivative of -2*k**3/9 - k**2/3 + 4*k/3 + 11. Factor n(r).
-2*(r - 1)*(r + 2)/3
Let z(r) be the first derivative of -3/2*r**2 + 1/60*r**5 + 0*r**4 + 1/120*r**6 + 1 + 0*r**3 + 0*r. Let s(n) be the second derivative of z(n). Factor s(q).
q**2*(q + 1)
Let y(p) = p**3 - 13*p**2 + 21*p + 11. Let c be y(11). Find q, given that -2/7*q**2 - 2/7*q + c = 0.
-1, 0
Let h(x) = 6*x + 6 + 4*x**3 - 3*x**3 - x + 5*x**2. Let z be h(-4). Factor w**2 + 3 + 5 + w**z + 8*w + 0*w**2.
2*(w + 2)**2
Let c(m) = -m**2 + 9*m + 10. Let k be c(9). Determine a, given that 2*a - 2*a - 6*a**2 + k*a**3 - a - 3*a = 0.
-2/5, 0, 1
Suppose -6*d + 14 = 2. Factor -14/5*h + 6/5 + 8/5*h**d.
2*(h - 1)*(4*h - 3)/5
Factor -6*u**3 - u**3 - 5*u**2 - 3*u - u + 6*u.
-u*(u + 1)*(7*u - 2)
Let o(g) be the first derivative of -28*g**5/25 - 2*g**4/5 + 28*g**3/15 + 4*g**2/5 - 4. Solve o(b) = 0.
-1, -2/7, 0, 1
Let w(l) = -l + 9. Let a be w(7). Factor 2*r - 4/3*r**3 - 2/3*r**5 + 4/3*r**2 - a*r**4 + 2/3.
-2*(r - 1)*(r + 1)**4/3
Suppose -7*v - 20 = 4*f - 3*v, -5*v - 25 = 0. Solve -3/7*m**3 + 6/7*m - 3/7*m**2 + f = 0.
-2, 0, 1
Factor 2*z**2 - 2*z**2 - 2*z + 8*z + 3*z**2.
3*z*(z + 2)
Suppose 4*w = -4*a + 5*w + 21, -5*w = a. Let z be -27*2/(-10) + 4/(-10). Factor z - 3 + 2*d - a*d + d**2 + 0*d**2.
(d - 2)*(d - 1)
Let t = 78 + -73. Let f(g) be the first derivative of 1/18*g**6 + 0*g**4 - 2/15*g**t - 1/6*g**2 + 1 + 0*g + 2/9*g**3. Find p, given that f(p) = 0.
-1, 0, 1
Let a(b) be the first derivative of 7*b**5/20 - 9*b**4/16 + b**3/6 + 25. Factor a(i).
i**2*(i - 1)*(7*i - 2)/4
Let p(g) be the third derivative of 1/168*g**8 + 1/6*g**4 - 1/20*g**6 + 0*g**3 + 0*g - 1/105*g**7 + 2*g**2 + 0 + 1/30*g**5. Solve p(i) = 0.
-1, 0, 1, 2
Let t(b) be the third derivative of -b**8/168 + b**6/30 - b**4/12 - 5*b**2. Factor t(s).
-2*s*(s - 1)**2*(s + 1)**2
Let k(v) be the first derivative of -v**8/7560 + v**6/1620 + v**3 - 3. Let b(l) be the third derivative of k(l). Factor b(n).
-2*n**2*(n - 1)*(n + 1)/9
Factor 10*s**4 + 20*s**3 + 2*s**5 - 40*s**2 + 6*s**5 - 13*s**5.
-5*s**2*(s - 2)**2*(s + 2)
Let f(n) = 3*n**3 - 3*n**2 - 21*n + 9. Let y(z) = 6*z**3 - 7*z**2 - 43*z + 18. Let j(v) = -13*f(v) + 6*y(v). Solve j(p) = 0 for p.
-3, 1
Let i(d) = d + 19. Let b be i(-15). Factor -2/5*w**b + 0*w + 0 + 8/5*w**3 - 8/5*w**2.
-2*w**2*(w - 2)**2/5
Let m(n) be the first derivative of 16/3*n**3 + 2 + 7*n**2 + 3/2*n**4 + 4*n. Factor m(g).
2*(g + 1)**2*(3*g + 2)
Let w(v) = -v**2 + 12*v - 4. Let y be w(8). Find u, given that -4*u + u**5 - 5*u**5 - y*u**3 - 18*u**4 - 18*u**2 + 0*u**4 = 0.
-2, -1, -1/2, 0
Let b(a) = -4*a - 6. Let d(l) = 5*l + 6. Let r(q) = 4*b(q) + 3*d(q). Let k be r(-8). Suppose 0 + 1/2*f**k - 1/2*f = 0. What is f?
0, 1
Let d(c) be the third derivative of c**5/120 - c**4/48 + 19*c**2. Factor d(v).
v*(v - 1)/2
Suppose 0 = 2*w - 5*w + 9. Let v be ((-22)/77)/(w/(-7)). Factor -v*s**2 + 0 + 4/3*s.
-2*s*(s - 2)/3
Let w be (4/14)/(5/35). Suppose -g = 5*p + 20, w*g = 3*p + 8 + 4. Determine f so that 6/5*f**4 + 2/5*f**2 + 0*f - 6/5*f**3 + g - 2/5*f**5 = 0.
0, 1
Let b(i) be the second derivative of 0 - 2*i**2 + 0*i**3 + 1/4*i**4 - 1/20*i**5 - i. Suppose b(l) = 0. Calculate l.
-1, 2
Factor 9/8*i**3 + 0*i**2 + 0 - 3/8*i**4 + 0*i.
-3*i**3*(i - 3)/8
Factor -7*p**2 - 4*p**3 + 3*p**3 - p**3 + 8*p**4 - p**2 + 2*p**5.
2*p**2*(p - 1)*(p + 1)*(p + 4)
Let g(v) be the first derivative of -8 + 2/5*v**4 - 2/15*v**6 - 4/5*v - 2/5*v**2 + 8/15*v**3 - 4/25*v**5. What is f in g(f) = 0?
-1, 1
Let x(c) be the second derivative of c**7/105 - c**5/25 + c**3/15 + 6*c. Solve x(h) = 0.
-1, 0, 1
Let r(w) be the third derivative of 2*w**2 + 0*w - 1/2*w**4 - 2/3*w**3 + 0 - 1/12*w**5. Factor r(v).
-(v + 2)*(5*v + 2)
Let s be (-69)/(-12)*(-1 + 5). Let z = s - 65/3. Factor 2/3*o - 2/3*o**2 + z.
-2*(o - 2)*(o + 1)/3
Let b(h) be the third derivative of -1/48*h**4 + 0*h**3 + 0 - h**2 + 0*h**5 + 0*h + 1/240*h**6. Factor b(t).
t*(t - 1)*(t + 1)/2
Let l(k) = 3*k - 1 - k**2 - k + 5*k + 0*k**2. Let m be l(6). Find s such that 11*s**4 - 3*s**2 - 11*s**4 - 6*s**3 - s**2 + 2*s**m = 0.
-1, 0, 2
Let y = -102 - -106. Let l(u) be the second derivative of 1/6*u**y + 0 + 3*u + 0*u**3 - u**2. Factor l(a).
2*(a - 1)*(a + 1)
Let o(d) = 2*d**4 - 6*d**3 - 2*d**2 + 6*d. Let p(i) = 2*i**4 - 7*i**3 - i**2 + 7*i - 1. Let k(g) = -5*o(g) + 4*p(g). Solve k(x) = 0 for x.
-1, 1, 2
Let k = -1218/13 - -200983/2145. Let n(t) be the second derivative of -1/66*t**4 + 0*t**5 + 0*t**3 + 0 + k*t**6 + 0*t**2 - t. Factor n(i).
2*i**2*(i - 1)*(i + 1)/11
Let r(s) be the second derivative of s**4/6 - s**3/3 - s. Let y(x) = x**2 + 2*x - 5*x**2 + x**2. Let n(m) = 5*r(m) + 4*y(m). Solve n(l) = 0 for l.
-1, 0
Suppose -13*b = 12*b - 9*b. Let x(i) be the second derivative of 0 + 1/54*i**4 + 1/45*i**5 + b*i**2 + 1/135*i**6 + 0*i**3 - 4*i. Factor x(o).
2*o**2*(o + 1)**2/9
Let i(m) be the third derivative of 0*m + 1/120*m**6 + 0 + 1/60*m**5 + 0*m**3 - m**2 + 0*m**4. Suppose i(g) = 0. Calculate g.
-1, 0
Let t be ((-16)/(-4) - 3) + 2. Solve -15*d**t - 15*d**5 - 2*d + 36*d**3 - 9*d**2 + 9*d**4 - 4*d = 0.
-1, -2/5, 0, 1
Suppose 3*b + 2 = 4*b. Let n = 3 - 3. Let -3*h**2 + n*h + 10*h**2 - 3*h**3 - 7*h**4 - b*h + 5*h**5 = 0. Calculate h.
-1, 0, 2/5, 1
Let y be 3 + (3 - (-115)/(-15)). Let n = 2 + y. Factor -5/6*f**2 + n*f + 1/2.
-(f - 1)*(5*f + 3)/6
Let o(i) be the third derivative of -i**8/42 + i**7/15 - i**6/30 - i**5/30 - 8*i**2. Determine x, given that o(x) = 0.
-1/4, 0, 1
Let a(q) = -q**2 - 8*q + 6. Let b(r) = -3*r**2 - 23*r + 17. Suppose 3*h = -3*l - 42, -h + 2*l + 3*l = 32. Let d(s) = h*a(s) + 6*b(s). Let d(z) = 0. What is z?
-2, 0
Let o(w) be the third derivative of w**6/40 + w**5/20 - 2*w**2. Let o(r) = 0. Calculate r.
-1, 0
Factor 0 - 2*g**2 + 1/2*g**5 + 0*g - g**4 - 7/2*g**3.
g**2*(g - 4)*(g + 1)**2/2
Let z be (-2)/5 + (-127)/(-5). Suppose z = 4*l + l. Let -4/9*j**2 + 2/9*j**4 + 2/9 - 2/9*j**l - 2/9*j + 4/9*j**3 = 0. Calculate j.
-1, 1
Let v(w) be the third derivative of w**5/270 - w**4/18 - 7*w**3/27 - 22*w**2. Factor v(k).
2*(k - 7)*(k + 1)/9
Let s(m) be the third derivative of m**2 - 1/135*m**5 + 0*m 