*5/30 - m**4/12 + 2*m**3/3 - 15*m**2. Find i such that g(i) = 0.
-2, 1
Let l(x) = -10*x**2 + 11*x - 1. Let o(g) = -5*g**2 + 6*g - 1. Let d(h) = -6*l(h) + 15*o(h). Suppose d(r) = 0. Calculate r.
3/5, 1
Let z(s) be the first derivative of 3*s**4/2 - s**3/3 - 5*s**2/2 + 2*s - 67. Factor z(g).
(g + 1)*(2*g - 1)*(3*g - 2)
Let k(g) = 2*g**2 - 25*g + 14. Let l be k(12). Suppose 2/3*o**l + 0*o - 2/3 = 0. What is o?
-1, 1
Factor 2/7*c**5 + 0 + 2/7*c + 0*c**4 + 0*c**2 - 4/7*c**3.
2*c*(c - 1)**2*(c + 1)**2/7
Let z = 2/137 - -264/685. Solve 2/5*d - z*d**3 + 0 + 0*d**2 = 0.
-1, 0, 1
Let o(i) be the third derivative of i**9/15120 + i**8/1680 + i**7/630 + i**4/8 + i**2. Let r(m) be the second derivative of o(m). Factor r(g).
g**2*(g + 2)**2
Let x = -11878/5 - -2386. Let z = x + -10. Solve z*q**4 - 2/5*q**2 + 2/5*q**3 + 0 - 2/5*q = 0 for q.
-1, 0, 1
Let c be 20/(-90)*1*-3. Let l(m) be the first derivative of 3 - c*m**3 - 2*m**2 + 0*m. Factor l(w).
-2*w*(w + 2)
Let t(p) = 2*p**5 - 14*p**4 - 14*p**3 + 14*p**2 - 12. Let w(z) = z**4 + z**3 - z**2 + 1. Let k(i) = -t(i) - 12*w(i). Factor k(n).
-2*n**2*(n - 1)**2*(n + 1)
Let m(p) be the first derivative of p**6/18 + 2*p**5/15 + p**4/12 + 7. Factor m(f).
f**3*(f + 1)**2/3
Let m(p) = -p**3 - 7*p**2 + 9*p + 9. Let n be m(-8). Let t be ((3*-2)/(-3))/n. Determine f so that f - f + f**t - 2*f - 3*f**2 = 0.
-1, 0
Let q(u) = 60*u - 358. Let n be q(6). Factor 1/4*s**n - 3/4 - 1/2*s.
(s - 3)*(s + 1)/4
Let g(b) be the first derivative of -b**7/735 + b**6/210 + b**2 + 4. Let c(x) be the second derivative of g(x). Factor c(q).
-2*q**3*(q - 2)/7
Let x(s) be the third derivative of -s**6/240 + s**5/60 - s**4/48 + 8*s**2. Factor x(j).
-j*(j - 1)**2/2
Let b(t) = 2*t**2 - 6. Let p(k) = k**3 - k**2 - k + 7. Let q(i) = -3*b(i) - 2*p(i). Suppose q(j) = 0. What is j?
-2, -1, 1
Let h(l) be the third derivative of 0 + l**2 - 2/3*l**3 - 1/20*l**5 - 1/3*l**4 + 0*l. Find k, given that h(k) = 0.
-2, -2/3
Let w be 425/(-102) - (-1)/6. Let n be 1 + 0 - (1 + w). Factor 0 - 4/5*r**2 + 2/5*r**3 - 6/5*r**5 + 8/5*r**n + 0*r.
-2*r**2*(r - 1)**2*(3*r + 2)/5
Find g such that 0*g + g**2 + 4*g**2 - 4*g**2 - 2*g - 3 = 0.
-1, 3
Let f(j) = -3*j**2 - 15*j - 15. Let y(l) = -3*l**2 - 15*l - 14. Let p(d) = 2*f(d) - 3*y(d). Factor p(s).
3*(s + 1)*(s + 4)
Let n(p) be the first derivative of p**5/5 + 3*p**4/2 + p**3/3 - 12*p**2 + 16*p + 21. Factor n(m).
(m - 1)**2*(m + 4)**2
Let b(i) be the third derivative of -i**4/24 + 5*i**3/3 + 2*i**2. Let v be b(6). Let 13*k**3 + k**3 - v*k**2 + 0*k**3 = 0. Calculate k.
0, 2/7
Let q(r) = -4*r**5 + r**3 - 3*r**5 - 2*r - 1 + 6*r**5 - r**4. Let d(x) = x**4 + x**3 + x + 1. Let s(y) = d(y) + q(y). Factor s(v).
-v*(v - 1)**2*(v + 1)**2
Let f(t) = 2*t**2 - 18*t + 36. Let a be f(6). Factor 0*h + a + 0*h**2 - 1/4*h**3 + 1/4*h**4.
h**3*(h - 1)/4
Let a be -1*0*2/(-10). Factor a*j + 0*j**2 + 2/5*j**4 + 0 - 2/5*j**3.
2*j**3*(j - 1)/5
Suppose 0 + 0*m + 2/11*m**2 + 2/11*m**3 = 0. Calculate m.
-1, 0
Let w(c) be the second derivative of c**4/3 + 4*c**3/3 + 2*c**2 + 3*c. Let w(m) = 0. Calculate m.
-1
Factor 2 - 1/3*d**3 + 7/6*d**2 + 10/3*d - 1/6*d**4.
-(d - 3)*(d + 1)*(d + 2)**2/6
Let i(p) be the second derivative of p**4/12 + p**3/3 - 3*p**2/2 - 5*p. Find h, given that i(h) = 0.
-3, 1
Let g be (-6 - -4)/((-4)/6). Let l(z) be the first derivative of 2 + 0*z + 2/11*z**2 - 2/33*z**g - 1/22*z**4. Solve l(q) = 0.
-2, 0, 1
Let l(s) = -s**2 + 1. Let z(b) = 5*b**3 - 15*b**2 - 25*b + 35. Let k(p) = -20*l(p) + z(p). Let k(t) = 0. What is t?
-3, 1
Find p, given that -1/4*p**5 + 1 + 1/4*p**2 + 2*p - 5/4*p**4 - 7/4*p**3 = 0.
-2, -1, 1
Let z be 2/294*7 - (-2)/7. Find c, given that 0*c**2 + 0 + 0*c + z*c**3 - 1/3*c**4 = 0.
0, 1
Suppose -4 = 6*n - 8*n, -10 = -3*b - 2*n. Let -1/2*s + 1/4 + 1/4*s**b = 0. Calculate s.
1
Let l(x) be the second derivative of x**6/15 + x**5/10 - x**4/6 - x**3/3 - 5*x. Factor l(o).
2*o*(o - 1)*(o + 1)**2
Let b(h) be the second derivative of 0*h**2 - 1/450*h**6 - 2*h - 1/60*h**4 + 0 - 1/100*h**5 - 1/2*h**3. Let u(d) be the second derivative of b(d). Factor u(v).
-2*(v + 1)*(2*v + 1)/5
Let m = 7 + -7. Factor -2*o**4 + 0*o**4 + m*o**4.
-2*o**4
Let f(q) be the third derivative of q**8/112 - 3*q**7/35 + 13*q**6/40 - 3*q**5/5 + q**4/2 + 4*q**2. Solve f(r) = 0.
0, 1, 2
Let p(l) = l + 1. Let o(w) = -4*w**2 + 28*w + 20. Let s(z) = -o(z) + 20*p(z). What is r in s(r) = 0?
0, 2
Let j(m) be the third derivative of -m**6/340 + m**5/102 - m**4/204 - m**3/51 - 30*m**2. Factor j(k).
-2*(k - 1)**2*(3*k + 1)/17
Let v(r) be the third derivative of r**7/1260 - r**4/24 + 4*r**2. Let d(h) be the second derivative of v(h). Factor d(p).
2*p**2
Let r(u) = u - 2 + 0*u + u**2 - 6. Let o be r(-7). Let i(s) = s**2 + s + 3. Let d(l) = -6*l**2 - 6*l - 17. Let n(f) = o*i(f) + 6*d(f). Factor n(y).
-2*y*(y + 1)
Let z(o) be the second derivative of 0 + 1/9*o**3 + 2*o + 0*o**2 + 0*o**5 + 1/90*o**6 - 1/12*o**4. What is k in z(k) = 0?
-2, 0, 1
Let j be (-6 - -193) + (0 - -2). Let u be 15/j + (-2)/(-14). Factor 2/9*h**4 - u*h**2 + 2/9*h**3 - 2/9*h + 0.
2*h*(h - 1)*(h + 1)**2/9
Factor -2/3*f**2 - 2/3*f**3 + 2/3*f**4 + 0*f + 2/3*f**5 + 0.
2*f**2*(f - 1)*(f + 1)**2/3
Let -3*o**2 - 4*o**2 + 0*o**2 + 15*o**3 - 3*o - 5*o**2 = 0. Calculate o.
-1/5, 0, 1
Let k(t) be the second derivative of -2*t**7/21 + 19*t**6/90 + 4*t**5/15 - 13*t**4/36 + t**3/9 + 9*t. Suppose k(d) = 0. What is d?
-1, 0, 1/4, 1/3, 2
Let d(m) be the second derivative of 32*m**6/75 - 4*m**5/25 + m**4/60 + 37*m + 1. Find s, given that d(s) = 0.
0, 1/8
Let t be (-6 - -3) + 1 + 2. Factor -1/5*d**5 + 0*d + 1/5*d**3 + t*d**4 + 0 + 0*d**2.
-d**3*(d - 1)*(d + 1)/5
Let f(h) be the first derivative of 31*h**3/3 - 33*h**2/2 + 2*h - 18. Factor f(b).
(b - 1)*(31*b - 2)
Factor 16/7*u**2 + 22/21*u**3 + 10/7*u + 4/21.
2*(u + 1)**2*(11*u + 2)/21
Determine y so that -22*y - 3*y**3 + 5*y**3 + 18*y - 2*y**2 = 0.
-1, 0, 2
Let w(d) = 3*d**5 + 6*d**4 - 2*d**3 - 4*d**2 - 3*d. Let p(j) = 3*j**5 + 6*j**4 - 3*j**3 - 3*j**2 - 3*j. Let f(g) = -2*p(g) + 3*w(g). Factor f(b).
3*b*(b - 1)*(b + 1)**3
Let d(z) be the third derivative of z**8/1344 + z**7/420 + z**6/480 - 5*z**2. Factor d(q).
q**3*(q + 1)**2/4
Let w(x) be the second derivative of -3/10*x**5 - 1/10*x**6 + 0*x**2 + 0*x**3 + 0*x**4 - 2*x + 1/14*x**7 + 0. Suppose w(j) = 0. Calculate j.
-1, 0, 2
Let w(i) be the first derivative of i**6/24 + 3*i**5/20 + i**4/8 - i**3/6 - 3*i**2/8 - i/4 - 21. Factor w(r).
(r - 1)*(r + 1)**4/4
Let q be -2 + (-44)/(-20) - (-4)/30. Let u(s) be the first derivative of -2/9*s**3 - q*s**2 + 2 + 0*s. Solve u(r) = 0 for r.
-1, 0
Let y(r) = r**3 - 8*r**2 + 2*r + 4. Let q be y(8). Let f be (-8)/q + 44/10. Factor w**3 - 16 - w + 18 + w**f + w**2 - 4*w**2.
(w - 1)**2*(w + 1)*(w + 2)
Let z(s) = 2*s**4 - 7*s**3 - 5*s**2 + 13*s. Let p(q) = 3*q**4 - 14*q**3 - 11*q**2 + 27*q. Let w(c) = -3*p(c) + 5*z(c). Let w(u) = 0. What is u?
-4, 0, 1
Let f(c) = -c**2 - 8*c + 6. Let i be f(-8). Suppose -3*h + i = -0. Determine t, given that 18/5*t + 4/5 + 14/5*t**h = 0.
-1, -2/7
Let o(v) = 12*v - 226. Let z be o(19). Determine i so that 3/5*i + 0 + 3/5*i**z = 0.
-1, 0
Let k(i) be the third derivative of -i**7/735 - i**2. Factor k(p).
-2*p**4/7
Let f = -6 - -8. Let -5*i + 5*i**2 + i - 3*i**2 + f = 0. What is i?
1
Let t(r) be the third derivative of r**7/945 - r**6/135 + r**5/45 - r**4/27 + r**3/27 + 10*r**2. Factor t(o).
2*(o - 1)**4/9
Let 1/3*r**2 - 4/3*r + 4/3 = 0. Calculate r.
2
Factor 0*q - 2/5*q**3 + 0*q**2 + 3/5*q**4 + 0.
q**3*(3*q - 2)/5
Let t(p) be the third derivative of -p**7/1155 + p**6/330 - p**4/66 + p**3/33 - 14*p**2. Solve t(a) = 0 for a.
-1, 1
Let d(o) be the first derivative of 49/24*o**6 + 0*o**2 + 0*o**3 + 0*o - 6 + 1/4*o**4 - 7/5*o**5. Factor d(b).
b**3*(7*b - 2)**2/4
Let s(c) be the first derivative of c**3 - 33*c**2/2 - 13. Factor s(j).
3*j*(j - 11)
Find m, given that 0*m + 1/4*m**3 - 1/4*m**5 + 0*m**2 + 0 + 0*m**4 = 0.
-1, 0, 1
Let d(x) be the first derivative of -2 + 1/42*x**4 + 0*x**2 + 2*x + 1/21*x**3. Let k(n) be the first derivative of d(n). Factor k(u).
2*u*(u + 1)/7
Suppose 0 = 5*b - 10 - 0. Suppose 0 - 2*j**4 - 7 + 7 + b*j**2 = 0. What is j?
-1, 0, 1
Let n(j) = 6*j**5 - 65*j**4 + 154*j**3 - 160*j**2 + 84*j - 15. Let i(r) = -r**5 + r**3 + r. Let b(y) =