*h**4 - 4*h + h - 3 + t*h**4 + 6*h**2 - 3*h**5 + 6*h**3 = 0.
-1, 1
Let s(f) be the second derivative of -f**4/9 - 4*f**3/9 + 13*f. Factor s(o).
-4*o*(o + 2)/3
Let j be (-1 - (-90)/130)/(2/(-13)). Suppose 2/3 + 1/3*c**j + c = 0. Calculate c.
-2, -1
Suppose j - 4 = -4*c, c + 4*j - 9 = 7. Let t(h) be the second derivative of -2/15*h**4 + c + 1/3*h**3 - 1/5*h**2 - 3*h. Suppose t(n) = 0. What is n?
1/4, 1
Suppose 9 = 4*q - 3. Let k = q + -3. Factor k*n**2 + 2*n**3 - 16*n**3 + 4*n**2.
-2*n**2*(7*n - 2)
Suppose 9*p - 3 = -3. Let g = 176/5 + -35. Let p - 1/5*i**4 + g*i**3 - 1/5*i + 1/5*i**2 = 0. What is i?
-1, 0, 1
Suppose 3*w = -2*w + 15. Let -40*p + 4*p**4 + 12 - 6*p**3 + 0*p**w - 18*p**3 + 25*p**2 + 23*p**2 = 0. What is p?
1, 3
Suppose 5*v = -55 + 15. Let n be 2 + -2 + (-2)/v. Solve -n*q**2 - 1/4 + 1/2*q = 0.
1
Let g be 2/5 - 6/(-10). Let p be (g*4/(-1))/(-2). Factor 4*j + 2 - 3*j - 4*j + j**p.
(j - 2)*(j - 1)
Suppose -14 = -4*j + 8*u - 10*u, 5*j - 16 = -4*u. Factor -3/5*r**j - 6/5 - 21/5*r - 3*r**3 - 27/5*r**2.
-3*(r + 1)**3*(r + 2)/5
Suppose -5*v = -3*c - 6 - 8, -4*c + 4*v = 8. Let o be 0 - -2 - 4/c. Factor 2/7*x**2 + o*x - 2/7*x**3 + 0.
-2*x**2*(x - 1)/7
Find m, given that -2/5*m**4 + 2/5*m**2 - 2/5*m**5 + 0 + 2/5*m**3 + 0*m = 0.
-1, 0, 1
Let l = -144/29 + 17309/3480. Let n(c) be the third derivative of 0 - 1/18*c**3 + 1/180*c**5 - 2*c**2 + 0*c - l*c**6 + 1/24*c**4. Factor n(d).
-(d - 1)*(d + 1)*(3*d - 1)/3
Let o(q) be the second derivative of -q**6/360 - q**5/20 - 3*q**4/8 + q**3 - 3*q. Let g(b) be the second derivative of o(b). Determine y, given that g(y) = 0.
-3
Let f be (1 - 4)/(-3) - -1. Let u = f - 0. Factor 3*g - 2*g**u - 3*g + 0*g.
-2*g**2
Let w(o) = o**3 - 12*o**2 - o + 15. Let p be w(12). Determine v, given that 8*v + 2*v**2 - 3*v**p + 9*v**4 - 3*v**3 + 14*v**2 - 27*v**4 = 0.
-2/3, 0, 1
Let i = -147 - -40. Let j = 751/7 + i. Solve -j*g**2 + 0 - 2/7*g = 0.
-1, 0
Factor -1/3*g**2 + 0 + 1/3*g + 1/3*g**4 - 1/3*g**3.
g*(g - 1)**2*(g + 1)/3
Let s(o) = -o + 8. Let c be s(6). Let t(x) be the second derivative of 0*x**3 + 1/6*x**4 + 0*x**c + 3/20*x**5 - 3*x + 0 + 1/30*x**6. Factor t(i).
i**2*(i + 1)*(i + 2)
Let w(f) be the first derivative of -4/5*f**5 + 0*f**4 - 4*f + 3 + 8/3*f**3 + 0*f**2. Suppose w(a) = 0. What is a?
-1, 1
Let s(t) be the second derivative of -1/36*t**4 - 1/30*t**6 + 0*t**2 - 1/15*t**5 - 6*t + 0 + 0*t**3. Suppose s(j) = 0. What is j?
-1, -1/3, 0
Let y(b) be the second derivative of 1/6*b**4 - 2/3*b**3 + 0 + b**2 - 3*b. Factor y(m).
2*(m - 1)**2
Let b(k) be the second derivative of 3*k**7/28 - 2*k**6/5 + 3*k**5/10 + 3*k**4/4 - 7*k**3/4 + 3*k**2/2 - 2*k - 1. Solve b(s) = 0.
-1, 2/3, 1
Let y(p) be the second derivative of p**5/10 + p**4/3 - 4*p**3/3 - 8*p**2 + 4*p. Determine q so that y(q) = 0.
-2, 2
Let n(t) = -2*t**2 + 12*t + 4. Let k(y) = -5*y**2 + 25*y + 7. Let s(u) = -4*k(u) + 9*n(u). Factor s(l).
2*(l + 2)**2
Factor 15*c**2 + 19*c**2 + 36 + 128*c - 20*c**2 + 2*c.
2*(c + 9)*(7*c + 2)
Let a(c) = -c**2 + 8*c - 8. Let v(h) = -h + 1. Let g(z) = z - 42. Let q be g(18). Let x(o) = q*v(o) - 3*a(o). Factor x(b).
3*b**2
Let m be 3*1/((-3)/(-6)). Let x = m + -3. Factor 2*o**2 - x*o**5 + 18*o**2 + 18*o**3 + 4*o**5 + 7*o**4 + 8*o.
o*(o + 1)*(o + 2)**3
Factor 6*i**3 + 2*i**4 + i**4 + 14*i + 0*i**4 - 2*i - 21*i**2.
3*i*(i - 1)**2*(i + 4)
Let p(w) = w**4 + w**3 + w. Let j(x) = 9*x**4 - 37*x**3 + 22*x**2 - 9*x. Let o(r) = 2*j(r) + 10*p(r). Factor o(u).
4*u*(u - 1)**2*(7*u - 2)
Let f(r) be the third derivative of r**6/360 - r**5/60 + r**4/24 - r**3/18 + 5*r**2. What is i in f(i) = 0?
1
Let z(q) be the second derivative of -q**4/4 + 3*q**3 - 27*q**2/2 - 11*q. Factor z(b).
-3*(b - 3)**2
Let g(l) be the second derivative of 2/15*l**4 + 2/75*l**6 + 1/15*l**3 + 9*l + 1/10*l**5 + 0*l**2 + 0. What is s in g(s) = 0?
-1, -1/2, 0
Let s = 45/8 + -127/24. Let 2/3 - 5/3*t + 1/3*t**3 - s*t**4 + t**2 = 0. What is t?
-2, 1
Let h(g) = 6*g**4 - g**3 - 8*g**2 + g + 2. Let c(y) = -y**3 + y**2 + y - 1. Let l(m) = -2*c(m) - h(m). Let l(f) = 0. Calculate f.
-1, 0, 1/2, 1
Solve 86*k**5 + 86*k**5 + 8*k**4 - 20*k**2 - 174*k**5 + 12 + 2*k = 0 for k.
-1, 1, 2, 3
Let u(g) = 3*g**3 + 15*g**2 - 6*g + 4. Let a(z) = 7*z**3 + 31*z**2 - 11*z + 9. Let j(q) = -4*a(q) + 9*u(q). Factor j(m).
-m*(m - 10)*(m - 1)
Find l, given that -4*l**3 + l**2 - 2*l**2 + l**4 + 6*l**2 - 2*l = 0.
0, 1, 2
Solve 6 + 320*c - 328*c + 2*c**2 + 0*c**2 = 0.
1, 3
Let l(x) = -x**4 + x**2 - x. Let t(n) = -5*n**4 - 20*n**3 + 30*n**2 - 10*n. Let r(b) = 10*l(b) - t(b). Solve r(m) = 0 for m.
0, 2
Solve q**4 + 2*q**5 - 5*q + 5*q**4 + q - 6*q**2 + 2*q**3 = 0 for q.
-2, -1, 0, 1
Let w(n) be the third derivative of -2/525*n**7 + 3/100*n**6 + 0*n**3 + 1/15*n**4 + 0 + 3*n**2 + 0*n - 2/25*n**5. Let w(k) = 0. What is k?
0, 1/2, 2
Let i(m) be the first derivative of -4 + 0*m**2 - 1/12*m**3 + 1/4*m. Factor i(l).
-(l - 1)*(l + 1)/4
Let 25*n**3 - n**4 + 21*n**4 + 5*n**5 + 3*n**5 + 10*n**2 - 3*n**5 = 0. What is n?
-2, -1, 0
Let d(x) be the third derivative of x**8/2352 + x**7/1470 - x**6/420 - x**5/210 + x**4/168 + x**3/42 + 8*x**2. Factor d(s).
(s - 1)**2*(s + 1)**3/7
Let i be (-1)/3 - (20/(-6) + 1). Determine w so that 0*w + 0 + 2/3*w**i = 0.
0
Let g(v) = 2*v**2 - 3. Let p(l) = -l**2 + 1. Let s(n) = 2*g(n) + 6*p(n). Determine t so that s(t) = 0.
0
Suppose 24 = -0*c + 6*c. Let g(m) = -m. Let b be g(-3). Suppose 4/7*u**2 - 2*u**c + 10/7*u**b + 0*u + 0 = 0. Calculate u.
-2/7, 0, 1
Let u(j) be the third derivative of 2*j**7/105 - j**6/30 - j**5/15 + j**4/6 - 3*j**2. Factor u(a).
4*a*(a - 1)**2*(a + 1)
Let m(d) be the first derivative of -9/8*d**2 - 4/3*d**3 - 3/10*d**5 - 1/24*d**6 - 1/2*d - 5 - 7/8*d**4. Factor m(j).
-(j + 1)**4*(j + 2)/4
Let h(m) = -m**2 + 8*m - 5. Let b be h(6). Let y = b + -3. Determine l, given that -l + y*l**2 - 2*l**2 - l**3 + 0*l = 0.
0, 1
Let m(z) be the third derivative of -3/8*z**4 + 0*z - 1/2*z**3 - 2*z**2 - 3/20*z**5 - 1/40*z**6 + 0. Factor m(j).
-3*(j + 1)**3
Let j = 1 - -4. Suppose 0*t = j*t. Let -4/3*n**3 + n + t*n**4 - 2/3 + 1/3*n**5 + 2/3*n**2 = 0. What is n?
-2, -1, 1
Suppose -3*p + 0*p = 5*h - 16, p - 2 = 0. Suppose -q = -4 + h. Factor -3 + q + 3*k + k**2 + 3.
(k + 1)*(k + 2)
Factor -6/7 + 2/7*c**2 + 4/7*c.
2*(c - 1)*(c + 3)/7
Solve 1/6*n**2 - 2/3*n - 5/6 = 0 for n.
-1, 5
Let u = -10 + 13. Suppose -u*i + 16 = 5*f, -3*f = -4*i - 6*f + 14. Let -2/9*c**i + 0*c + 2/9 = 0. What is c?
-1, 1
Let z(a) be the second derivative of -5*a**4/108 - a**3/27 - 11*a. Determine y, given that z(y) = 0.
-2/5, 0
Suppose 30*u - 33*u = -6. Let x(f) be the second derivative of 0 - 1/12*f**4 + 0*f**u + 0*f**3 - f. Solve x(d) = 0.
0
Let w(m) be the first derivative of 2*m**3/3 - 14*m**2 + 98*m + 14. Suppose w(l) = 0. Calculate l.
7
Let q(t) be the first derivative of -1/10*t**5 + 0*t**2 - 2*t - 1/3*t**3 + 2 + 1/3*t**4. Let o(l) be the first derivative of q(l). Solve o(y) = 0.
0, 1
Let j(r) = 4*r - 2 - 1 - 3*r. Let t be j(5). Determine w, given that -t*w**2 - 1 + 3*w**3 + w**2 - 3*w + 2 = 0.
-1, 1/3, 1
Suppose -k - 5*g + 6 = -3*g, 3*k + 5*g = 15. Let p(h) be the first derivative of 2/3*h**3 + k*h**2 + 0*h - 2 - 1/4*h**4. Solve p(a) = 0.
0, 2
Solve -12/5 - 3/5*l**2 - 12/5*l = 0.
-2
Suppose 0 = 2*m - 6 - 0. Solve 15*q - 12*q**2 - 6 - 4*q**3 + 4*q**3 + 6*q**m - 3*q**3 = 0.
1, 2
Let x = -4 + 6. Suppose 5*q + 2*o = -3*o + 50, x*q = -4*o + 30. Factor -v**q + v**4 + 3*v - 3*v.
-v**4*(v - 1)
Let g = 461/190 - 1/38. Solve -g*b**2 - 4/5*b - 3/5*b**4 + 0 - 11/5*b**3 = 0.
-2, -1, -2/3, 0
Let q be (2/4)/(27/318) - 5. Factor -q*d + 8/9 + 2/9*d**2.
2*(d - 2)**2/9
Let i(u) be the second derivative of 1/54*u**4 + 4*u - 1/135*u**6 + 0 + 0*u**2 + 0*u**3 + 0*u**5. Find c such that i(c) = 0.
-1, 0, 1
Let p(z) be the third derivative of -z**5/20 - z**4/8 + 7*z**2. Factor p(b).
-3*b*(b + 1)
Let r(h) be the third derivative of 1/72*h**4 + 0*h + 0*h**3 - 6*h**2 - 1/360*h**5 - 1/720*h**6 + 0. Find l such that r(l) = 0.
-2, 0, 1
Let o(x) be the second derivative of -x**4/30 + 9*x**2/5 - 46*x. Factor o(d).
-2*(d - 3)*(d + 3)/5
Suppose 4*o + n = 2*n + 15, 2*o - 20 = -2*n. Suppose -15 = 2*f - 6*f + d, o*d + 6 = -3*f. Solve q**5 + q**2 - q**4 - q**3 - 2*q**3 + 2*q**f = 0 for q.
-1, 0, 1
Let w(z) = 2*z**3 + 12*z**2 + 8*z + 48. Let o be w(-