first derivative of l**3/3 + l**2/2 - 2*l + 3. Find h such that v(h) = 0.
-2, 1
Let z(y) = y**3 + 11*y**2 - 10*y + 27. Let h be z(-12). What is k in k - 2/3 - k**h + 1/3*k**2 + 1/3*k**4 = 0?
-1, 1, 2
Find k, given that 156*k**2 + k + 272*k**5 + 858*k**4 + 639*k**3 + 91*k**5 + 4*k + 7*k = 0.
-1, -2/11, 0
Let x be (2/(-2))/(12/(-128)). Determine h so that 2/3 - 16/3*h + x*h**2 = 0.
1/4
Let a be (-46)/(-8)*(-4)/21. Let d = a + 10/7. Factor -1/3*f**3 + 1/3*f**2 - d*f**4 + 0 + 1/3*f.
-f*(f - 1)*(f + 1)**2/3
Determine t so that 0*t - 2*t**3 - 2/3*t**5 + 2/3*t**2 + 0 + 2*t**4 = 0.
0, 1
Determine s so that -1/3*s - 1/9*s**3 - 1 + 5/9*s**2 = 0.
-1, 3
Let f(x) be the second derivative of -x**4/15 + 4*x**3/15 + 6*x**2/5 + 4*x. Factor f(p).
-4*(p - 3)*(p + 1)/5
Let b be 5 + (-6 - -3) + 1. Factor b*x - 2*x - 2*x - x**2 + 1 + x**3.
(x - 1)**2*(x + 1)
Let c(u) be the second derivative of 1/6*u**4 + 2*u + 0*u**3 + 0 + 0*u**2 - 3/20*u**5. Find p, given that c(p) = 0.
0, 2/3
Suppose -73 = -5*p + 17. Let t = -15 + p. Factor 1/2*n**2 + 1/4*n**t + 0 + 1/4*n.
n*(n + 1)**2/4
Let a(h) be the second derivative of -h**6/30 + h**5/10 - h**3/3 + h**2/2 - 8*h. Suppose a(p) = 0. Calculate p.
-1, 1
Let f = -24 + -17. Let j = f - -76. Let j*k**2 + 4 - 25/2*k**3 - 22*k = 0. Calculate k.
2/5, 2
Let l(u) = u**3 + 4. Let i(c) = c**2 - 5*c - 10. Let f be i(7). Let b(t) = -5 - 1 + 7 + 0. Let j(k) = f*b(k) - l(k). Factor j(v).
-v**3
Let r(a) be the first derivative of a**5/5 + a**4 + a**3 - 2*a**2 - 4*a - 23. Factor r(z).
(z - 1)*(z + 1)*(z + 2)**2
Let s(j) be the second derivative of j**7/273 - j**6/15 + 19*j**5/130 + 145*j**4/78 + 176*j**3/39 + 64*j**2/13 + 24*j. Factor s(x).
2*(x - 8)**2*(x + 1)**3/13
Let z(v) = -3*v**2 - 6*v - 2. Let i(g) be the third derivative of -g**5/15 - 7*g**4/24 - g**3/6 - 2*g**2. Let p(o) = 2*i(o) - 3*z(o). Factor p(x).
(x + 2)**2
Let o be -1*3*1/(-45). Let q(x) be the first derivative of o*x**5 - 3 + 1/3*x + 0*x**4 + 0*x**2 - 2/9*x**3. Factor q(a).
(a - 1)**2*(a + 1)**2/3
Let r(c) be the first derivative of -c**4/2 + c**2 + 1. Factor r(h).
-2*h*(h - 1)*(h + 1)
Let x(q) be the third derivative of q**5/90 + q**4/3 + 4*q**3 - 30*q**2. Suppose x(r) = 0. Calculate r.
-6
Let i(h) be the first derivative of -h**4 + 4*h**3 - 4*h**2 - 4. Factor i(f).
-4*f*(f - 2)*(f - 1)
Let h(d) = -d**4 + d**3 - d**2 + d + 1. Let t(s) = 3*s**4 + 5*s**2 - 8*s - 4. Let v(a) = -12*h(a) - 3*t(a). Suppose v(j) = 0. What is j?
-1, 0, 1, 4
Let b be ((-93)/(-217))/(2 + -1). Solve -b*k**2 + 0 + 3/7*k = 0 for k.
0, 1
Let y(v) be the third derivative of 0 + v**2 - 1/72*v**4 + 0*v + 0*v**3 + 1/180*v**5. Factor y(s).
s*(s - 1)/3
Let p(g) = -4*g**3 + 21*g**2 - 25*g + 8. Let z(r) = -6*r**3 + 32*r**2 - 38*r + 12. Let f(k) = -8*p(k) + 5*z(k). Find t, given that f(t) = 0.
1, 2
Factor -6/5*l**3 + 3/5*l**2 + 0 + 3/5*l**4 + 0*l.
3*l**2*(l - 1)**2/5
Suppose -23*j + 12*j**2 + 12*j**3 + 3*j**4 + 27*j + j**4 = 0. What is j?
-1, 0
Let t(i) be the second derivative of -i**4/36 - i**3/9 - 28*i. Let t(k) = 0. Calculate k.
-2, 0
Let i(r) be the second derivative of -2*r**6/105 + 2*r**5/35 - 4*r**3/21 + 2*r**2/7 + 9*r. Determine h, given that i(h) = 0.
-1, 1
Let s(t) = -8*t**2 + 3*t - 5. Let i(d) = -d**3 - d**2 + d - 1. Suppose -5*p = 13 + 62. Let w(z) = p*i(z) + 3*s(z). Solve w(u) = 0 for u.
-2/5, 0, 1
Let q be 476/(-16) + -3 + 2. Let d = q - -31. Let 3/4*x**2 - 1 - d*x**3 + 0*x = 0. What is x?
-1, 2
Determine d so that 10*d**3 - 4*d**2 + 16*d**3 - 6*d**4 - 16*d**3 = 0.
0, 2/3, 1
Let t = -9 - -12. Let y(c) be the third derivative of 0*c + 3*c**2 + 1/6*c**t - 1/60*c**5 + 0*c**4 + 0. Factor y(z).
-(z - 1)*(z + 1)
Let z(a) = 12*a**4 - 34*a**3 + 60*a**2 - 10*a + 14. Let u(n) = 4*n**4 - 11*n**3 + 20*n**2 - 3*n + 5. Let y(f) = 14*u(f) - 5*z(f). Determine d so that y(d) = 0.
0, 1, 2
Let a(y) be the first derivative of 3/2*y**4 + 2 + 2*y**3 + y**2 + 2/5*y**5 + 0*y. Suppose a(x) = 0. Calculate x.
-1, 0
Let i(r) = r**2 - 5*r - 2. Let v be i(6). Suppose -4*t**4 - t**v + 2*t**4 + 3*t**2 = 0. What is t?
-1, 0, 1
Suppose -4 + 1 = -3*t. Let k be 3*t + 0/(-4). Factor -g + 4*g**3 - g**3 - 2*g**k.
g*(g - 1)*(g + 1)
Let r be -2 - (-21 - -1)/5 - 2. Determine v, given that 3/2*v**2 + r*v - 3/2 = 0.
-1, 1
Let o(t) = t**2 + t - 1. Let g(d) = -6*d**3 + 8*d**2 + 5*d - 6. Let l(a) = g(a) - 6*o(a). Let i(f) = f**3. Let j(y) = -5*i(y) - l(y). Factor j(b).
b*(b - 1)**2
Let z(i) be the third derivative of 3*i**6/160 - i**5/80 - 3*i**4/8 + i**3/2 + 6*i**2. Solve z(n) = 0.
-2, 1/3, 2
Let m(g) be the first derivative of g**6/15 - 4*g**5/25 + 4*g**3/15 - g**2/5 - 15. Factor m(w).
2*w*(w - 1)**3*(w + 1)/5
Let t(y) = -2*y**3 - 10*y**2 - 7*y - 6. Let q be t(-6). Let c = q - 754/7. Factor -2/7*k**3 + 2/7*k - c*k**2 + 2/7.
-2*(k - 1)*(k + 1)**2/7
Let s(f) be the second derivative of -f**6/70 - 9*f**5/70 - 9*f**4/28 - 2*f**3/7 + 3*f + 9. Factor s(o).
-3*o*(o + 1)**2*(o + 4)/7
Let i = -3 + 5. Let a be (10 + i)*3/9. Suppose 22 - 40*j**2 - 58 + 78*j + 2*j**3 + a*j**3 = 0. What is j?
2/3, 3
Let j(o) = 5*o**4 - o**3 - 2*o**2 + o + 3. Let n(f) = -26*f**4 + 6*f**3 + 10*f**2 - 6*f - 16. Let d(c) = -16*j(c) - 3*n(c). Factor d(i).
-2*i*(i - 1)*(i + 1)**2
Solve 3/2*r**4 - 3/2*r**2 + 0 - 1/3*r**3 + 1/3*r = 0.
-1, 0, 2/9, 1
Let t be 3/4 - (-46)/(-8). Let j(x) = -4*x**2 + 19*x - 41. Let s(h) = -2*h**2 + 10*h - 20. Let d(r) = t*s(r) + 2*j(r). Factor d(m).
2*(m - 3)**2
Let u(r) be the third derivative of 2*r**7/735 + r**6/42 - r**5/5 + 23*r**4/42 - 16*r**3/21 + r**2. Find p such that u(p) = 0.
-8, 1
Let n be 24/14 - (-14)/49. Suppose -n*f + 9 = f. What is i in 7/3*i**2 + 2/3 - f*i = 0?
2/7, 1
Let l(y) be the second derivative of y**4/12 + 3*y**3/2 - 5*y**2 + 55*y. Solve l(n) = 0.
-10, 1
Let 0 - 8/3*u**3 + 2/3*u**4 + 2*u**2 + 0*u = 0. What is u?
0, 1, 3
Let y(x) be the second derivative of -x**5/140 + 5*x**4/84 - x**3/14 - 9*x**2/14 - 8*x. Factor y(b).
-(b - 3)**2*(b + 1)/7
Let m(z) be the third derivative of -z**7/42 + z**6/6 - z**5/3 + 14*z**2. Find n such that m(n) = 0.
0, 2
Suppose 49 - 19 = 5*c. Let s = c - 4. Factor 2 + 2*q**s + q + 0*q**2 - 3*q**2.
-(q - 2)*(q + 1)
Let q be 6/8*23/46. Let 1/8*a**2 - q*a + 1/4 = 0. Calculate a.
1, 2
Let z(l) be the third derivative of -l**6/480 - l**5/120 - 9*l**2. Factor z(q).
-q**2*(q + 2)/4
Let j(h) = -h**3 - 13*h**2 - 7*h + 10. Let y(p) = 3*p**3 + 40*p**2 + 20*p - 30. Let z(s) = -7*j(s) - 2*y(s). Let m be z(-10). Factor 1/2 - 1/2*i**2 + m*i.
-(i - 1)*(i + 1)/2
Let y(g) be the third derivative of g**6/120 - g**4/8 - g**3/3 + 8*g**2. Let l(d) be the first derivative of y(d). Factor l(i).
3*(i - 1)*(i + 1)
Let z(r) be the first derivative of r**6/27 - r**4/18 - 44. Solve z(u) = 0 for u.
-1, 0, 1
Let o(z) be the second derivative of z**5/50 + z**4/15 + z**3/15 - 37*z. Find m, given that o(m) = 0.
-1, 0
Suppose 5*m - p - 8 = -5, -3*m = 4*p + 12. Let n(i) be the first derivative of m*i - 4/3*i**3 + 1/2*i**4 - 3 + 0*i**2. Solve n(q) = 0 for q.
0, 2
Let g(k) be the first derivative of k**5/2 + 5*k**4/2 + 5*k**3/2 - 5*k**2 - 10*k - 32. Solve g(v) = 0.
-2, -1, 1
Find i, given that -i**3 + 0 - 8/7*i + 18/7*i**2 - 3/7*i**4 = 0.
-4, 0, 2/3, 1
Let f(q) = q**3 + 9*q**2 + 7*q + 1. Let g be f(-8). What is z in 9*z**2 + z**5 - g*z**2 - 2*z**3 + z = 0?
-1, 0, 1
Suppose -4*w + 2*i = -10, -5*i + 19 + 4 = 2*w. Let h**4 + 0*h**5 + h**5 + 3*h**4 - 3*h**w = 0. What is h?
-1, 0
Suppose -t - 5 = 0, 17 + 8 = 5*j - 3*t. Factor 2*m**3 - m**j - 7*m**2 + 2*m**3 + 4*m.
4*m*(m - 1)**2
Factor -1/8*x**3 - 1/4 + 3/8*x + 0*x**2.
-(x - 1)**2*(x + 2)/8
Factor 8/7*u**2 - 8/7*u - 2/7*u**3 + 0.
-2*u*(u - 2)**2/7
What is x in -2/5*x**2 - 2/5*x**3 + 0 + 2/5*x**4 + 2/5*x = 0?
-1, 0, 1
Let o(c) be the first derivative of -c**4/8 + 11*c**3/6 + 3*c**2 - 11. Solve o(f) = 0 for f.
-1, 0, 12
Let p(z) be the first derivative of -z**3 - 4 - 9/2*z**2 - 6*z. Find s, given that p(s) = 0.
-2, -1
Let f = 331/2 + -165. Determine a so that 1/2*a + 0 + 1/2*a**4 - f*a**3 - 1/2*a**2 = 0.
-1, 0, 1
Let y(v) be the second derivative of -v**7/189 - v**6/135 + v**5/90 + v**4/54 + 8*v. Let y(j) = 0. Calculate j.
-1, 0, 1
Let f(n) = 3*n**3 - 3*n**2 - 18*n - 12. Let s(i) be the third derivative of -i**4/24 - i**3/6 - 4*i**2. Let c(d) = f(d) - 15*s(d). Suppose c(j) = 0. What is j?
-1, 