he first derivative of 5*h**6/6 - h**5 - 5*h**4/2 + 10*h**3/3 + 5*h**2/2 - 5*h + 5. Factor g(l).
5*(l - 1)**3*(l + 1)**2
Let t = 26/27 - 8/27. Let 2*c**3 + 2/3*c - 2*c**2 + 0 - t*c**4 = 0. What is c?
0, 1
Let j be -3*1/6*-4. Factor -3*i**4 + 3*i**3 + 58*i**j - 3*i - 55*i**2 + 0*i.
-3*i*(i - 1)**2*(i + 1)
Determine s, given that 3/4*s**3 + 9/4*s**2 + 15/4 - 27/4*s = 0.
-5, 1
Let q(a) = 8*a**5 - 18*a**4 + 12*a**3. Let m(i) = i**2. Let n(l) = -2*m(l) + q(l). Let n(s) = 0. What is s?
0, 1/4, 1
Let o(b) = -5*b**3 + 5*b**2 - 28*b + 16. Let p(d) = -6*d**3 + 4*d**2 - 29*d + 16. Let a(x) = -5*o(x) + 4*p(x). Factor a(v).
(v - 4)**2*(v - 1)
Suppose 0 = c - i - 7 - 1, -c - 8 = 3*i. Let g(d) be the first derivative of -1/6*d**c + 2 + 1/3*d**2 + 2/9*d**3 - 2/15*d**5 + 0*d. Factor g(x).
-2*x*(x - 1)*(x + 1)**2/3
Let y(n) be the first derivative of -1/3*n**4 + 1 + 0*n**2 + 1/3*n**6 + 0*n**3 - n + 3/10*n**5. Let q(d) be the first derivative of y(d). Solve q(f) = 0 for f.
-1, 0, 2/5
Let v(u) be the third derivative of -u**7/2520 - u**6/180 - u**5/30 - u**4/9 + 2*u**3/3 + 3*u**2. Let f(z) be the first derivative of v(z). Factor f(n).
-(n + 2)**3/3
Let v(q) be the third derivative of -q**5/15 + q**4/3 + 6*q**2. Let v(g) = 0. Calculate g.
0, 2
Suppose -10/9*i**2 - 2/9*i**4 - 4/9*i - 8/9*i**3 + 0 = 0. What is i?
-2, -1, 0
Let z = 34501/60 - 575. Let l(i) be the third derivative of 0*i + 0*i**3 + 1/120*i**6 - 1/24*i**4 - 1/210*i**7 + z*i**5 + i**2 + 0. Let l(v) = 0. Calculate v.
-1, 0, 1
Let n be (-6)/((-4)/2) - 3. Find i such that 3*i - 4*i**3 + n*i + i**3 + 0*i**3 = 0.
-1, 0, 1
Suppose -7 - 7 = -7*u. Suppose 0 - 2/9*s - 8/9*s**u = 0. Calculate s.
-1/4, 0
Let l(w) be the first derivative of w**3/15 - 7. Suppose l(a) = 0. Calculate a.
0
Let h(a) be the second derivative of 0 - 5*a + 1/12*a**4 - 1/6*a**3 - a**2. Factor h(x).
(x - 2)*(x + 1)
Let t(z) be the first derivative of -1/39*z**6 + 8/65*z**5 - 4/13*z + 5/13*z**2 - 4/39*z**3 - 2/13*z**4 + 3. Suppose t(g) = 0. What is g?
-1, 1, 2
Let c(w) be the second derivative of -2*w**5/45 - 5*w**4/54 - w**3/27 + 14*w. Suppose c(p) = 0. Calculate p.
-1, -1/4, 0
Factor -22*l**4 + 39*l**4 - 20*l**4 + 3*l**2.
-3*l**2*(l - 1)*(l + 1)
Let i(x) be the third derivative of -x**6/80 + 11*x**5/120 - x**4/4 + x**3/3 + 6*x**2. Factor i(w).
-(w - 2)*(w - 1)*(3*w - 2)/2
Suppose 0 = -3*p - 0 + 6. Let i be ((-4)/(-9))/((-2)/(-3)). Factor -2/9 - i*j + 8/9*j**p.
2*(j - 1)*(4*j + 1)/9
Suppose 4*x - 120 = 80. Let b be ((-40)/x)/(18/(-10)). Solve -b*u**2 + 0*u + 0*u**3 + 2/9 + 2/9*u**4 = 0 for u.
-1, 1
Let n(a) = a**2 + a. Let z(c) = -12*c - 6. Let w(r) = r**2 + 11*r + 5. Let u(p) = -6*w(p) - 5*z(p). Let y(b) = -5*n(b) - u(b). Factor y(j).
j*(j + 1)
Let j = 8 - 4. Determine m so that -m**2 + j*m + 5*m**2 - 4*m + 2*m**3 = 0.
-2, 0
Let t(i) = 2*i**2 + 16*i + 2. Let y(h) = -10*h**2 - 81*h - 11. Let v(k) = -11*t(k) - 2*y(k). Factor v(f).
-2*f*(f + 7)
Let 26*a + 5 - 28*a - 3 + 1 - a**2 = 0. What is a?
-3, 1
Factor -12*k - 3*k**2 + 6*k**3 + 12 + 6*k**3 - 3*k**4 - 6*k**2.
-3*(k - 2)**2*(k - 1)*(k + 1)
Let o be (3 - (-111)/(-45))*10/4. Factor 0 - o*b + 2/3*b**4 - 2*b**2 + 0*b**3.
2*b*(b - 2)*(b + 1)**2/3
Suppose -5/4*h**3 - 5*h**2 + 0 + 0*h = 0. Calculate h.
-4, 0
Let g(p) be the second derivative of 1/15*p**6 - 1/6*p**4 - 5*p + 1/28*p**7 + 0 - 1/24*p**5 - 1/9*p**3 + 0*p**2. Solve g(n) = 0 for n.
-1, -2/3, 0, 1
Determine x so that -2/7*x - 2/7*x**2 + 12/7 = 0.
-3, 2
Suppose -3*c + 9 = 3. Let t(h) be the first derivative of -1/18*h**6 + 0*h**3 + 0*h**5 + 0*h**c + 1/12*h**4 + 0*h - 1. Factor t(o).
-o**3*(o - 1)*(o + 1)/3
Let r = -7 + 10. Suppose -5*u + 0*u**3 - 2 + 2*u**3 - 3*u**r - 4*u**2 = 0. Calculate u.
-2, -1
Factor 5/6*u**2 + 10/3*u + 10/3.
5*(u + 2)**2/6
Determine a, given that -2/3 - 1/3*a + 1/3*a**3 + 2/3*a**2 = 0.
-2, -1, 1
Let d(g) be the first derivative of 9*g**4/4 - 7*g**3 - 17*g**2/2 - 3*g + 17. Solve d(k) = 0.
-1/3, 3
Find h, given that -4*h**3 - 52/5*h**2 - 44/5*h - 12/5 = 0.
-1, -3/5
Let s(i) be the second derivative of i**7/63 - i**6/45 - i**5/6 + i**4/18 + 8*i**3/9 + 4*i**2/3 - 4*i - 5. Factor s(j).
2*(j - 2)**2*(j + 1)**3/3
Let b(u) be the third derivative of u**8/1440 - u**7/11340 - u**6/1620 - u**4/12 - 3*u**2. Let s(a) be the second derivative of b(a). Factor s(q).
2*q*(3*q - 1)*(7*q + 2)/9
Let f(c) be the third derivative of 0 - 1/10*c**5 + 1/40*c**6 + 0*c - 1/8*c**4 + c**3 + 4*c**2. Determine q so that f(q) = 0.
-1, 1, 2
Factor 2/11*d**4 - 4/11*d**2 + 4/11*d**3 - 2/11*d**5 - 2/11*d + 2/11.
-2*(d - 1)**3*(d + 1)**2/11
Let c be (-1)/2*-1*(9 + -3). Suppose -7/3*p**5 + 0 + 2/3*p + 5/3*p**3 - 3*p**2 + c*p**4 = 0. What is p?
-1, 0, 2/7, 1
Suppose -3*w - 4*w = 0. Let k be w/(-3 - 5/(-1)). Factor 0 - 1/2*a**3 + 1/4*a**2 + k*a + 1/4*a**4.
a**2*(a - 1)**2/4
Factor 6/13*t**4 + 0 - 20/13*t**3 + 0*t + 6/13*t**2.
2*t**2*(t - 3)*(3*t - 1)/13
Solve -8/19 - 8/19*r - 2/19*r**2 = 0 for r.
-2
Suppose -4*h + 8*h - 20 = 0, 16 = -k + 3*h. Let r be k - (165/27)/(-5). Factor 0 - 2/9*d**4 + 2/9*d**2 + 2/9*d - r*d**3.
-2*d*(d - 1)*(d + 1)**2/9
Let h(c) be the first derivative of c**2/2 + 2*c + 1. Let u be h(0). Factor -2/7 + 4/7*m - 2/7*m**u.
-2*(m - 1)**2/7
Let g = -11 - -11. Solve 3/4*j**4 + 5*j**5 + 0*j**2 + g + 0*j - 1/2*j**3 = 0 for j.
-2/5, 0, 1/4
Let k(j) be the second derivative of -j**5/80 + j**4/48 - 5*j. Find f, given that k(f) = 0.
0, 1
Let w(f) be the first derivative of -9*f**4/2 + 10*f**3 + 32*f**2 + 24*f + 34. Suppose w(v) = 0. Calculate v.
-2/3, 3
Suppose 2*a - 4*d - 28 = 0, 4*d + 5 = -4*a + 1. Suppose -5*h - 5*c = -35, h - 3*h - 5*c = -26. Find g, given that 2/9*g**a + 0*g + 0 - 2/9*g**h + 0*g**2 = 0.
0, 1
Let w(t) be the second derivative of 2*t**7/63 + 4*t**6/45 - 2*t**4/9 - 2*t**3/9 - 10*t. Let w(n) = 0. Calculate n.
-1, 0, 1
Let n(u) be the first derivative of 1/40*u**5 - 1/48*u**6 - 10 + 1/16*u**4 + 1/8*u - 1/16*u**2 - 1/12*u**3. Factor n(v).
-(v - 1)**3*(v + 1)**2/8
Let f(z) be the second derivative of 0 + 1/20*z**4 - 1/10*z**3 + 0*z**2 - 3*z. Factor f(u).
3*u*(u - 1)/5
Let 12/5*v**4 + 0 + 4/5*v**2 + 16/5*v**3 + 0*v = 0. Calculate v.
-1, -1/3, 0
Let m(h) be the second derivative of h**7/63 + h**6/10 + h**5/15 + 4*h. Determine s, given that m(s) = 0.
-4, -1/2, 0
Let h = 105/2 - 52. Factor -1/4 + 0*t**3 + h*t**2 + 0*t - 1/4*t**4.
-(t - 1)**2*(t + 1)**2/4
Let q(b) be the third derivative of b**8/1120 - b**6/240 - 2*b**3/3 - b**2. Let d(m) be the first derivative of q(m). Let d(h) = 0. What is h?
-1, 0, 1
Let j(s) be the first derivative of -s**6/4 + 3*s**5/10 + 3*s**4/4 - s**3 - 3*s**2/4 + 3*s/2 - 7. Let j(f) = 0. Calculate f.
-1, 1
Let j be 9/(-12)*(-10)/75. Let v(i) be the first derivative of -1/4*i**2 - 4 - 1/6*i**3 + 0*i + j*i**5 + 1/8*i**4. Factor v(b).
b*(b - 1)*(b + 1)**2/2
Let b(n) be the first derivative of 4*n**3/3 + 14*n**2 + 24*n - 65. Solve b(q) = 0.
-6, -1
Suppose 0 = 2*c - 11 + 1. Determine n so that -c*n + 0*n - 3*n - 2 + 4*n - 2*n**2 = 0.
-1
Let l(s) be the first derivative of 2*s**5/5 - 9*s**4/2 + 14*s**3 - 19*s**2 + 12*s - 30. Factor l(r).
2*(r - 6)*(r - 1)**3
Let u(b) = b**2 - 2. Let w be u(-2). Factor -w*q**3 + 4*q**5 - 2*q**5 - q**3 + q**5.
3*q**3*(q - 1)*(q + 1)
Let k(x) = 4*x**2 + 8*x - 8. Let v(m) = m**3 - 9*m**2 - 15*m + 16. Let j(b) = 7*k(b) + 4*v(b). Let j(r) = 0. What is r?
-1, 1, 2
Let g(y) = 5*y**2 - y + 6. Let m(q) = -9*q**2 + 3*q - 12. Let p(d) = -7*g(d) - 4*m(d). Solve p(n) = 0.
2, 3
Let o = 103 - 103. Let y(k) be the third derivative of 3/4*k**5 - k**2 - 8/35*k**7 + o + 1/2*k**3 + 0*k - 1/5*k**6 + k**4. Let y(g) = 0. What is g?
-1, -1/4, 1
Suppose -p = 2*p - 6. Let m(f) be the first derivative of -2 + 2/3*f**3 + 1/2*f**4 - f**p - 2*f. What is g in m(g) = 0?
-1, 1
Let m(g) be the first derivative of -5 + g**2 + 1/3*g**6 + 0*g**5 + 0*g**3 + 0*g - g**4. Factor m(j).
2*j*(j - 1)**2*(j + 1)**2
Let d = 1675/7 - 239. Solve -6/7*h - d*h**2 - 4/7 = 0.
-2, -1
Determine i, given that -15/4*i**2 - 25/4 + 45/4*i - 5/4*i**3 = 0.
-5, 1
Let p = 1 + 2. Let q(c) be the first derivative of -4*c - 8*c**p - 5/2*c**4 - 9*c**2 + 2. Determine g, given that q(g) = 0.
-1, -2/5
Let p = 19/5 - 17/5. Suppose -1/5*z**3 + 1/5*z + p - 2/5*z**2 = 0. Calculate z.
-2, -1, 1
Let t(c) be the second derivative of 1/6*c**4 + c**2 - 3*