.
-(u - 2)*(u + 1)
Let v = -2 - -1. Let s be 1/(-5) - v/5. Factor 0 + 0*f**3 + s*f + 1/4*f**2 - 1/4*f**4.
-f**2*(f - 1)*(f + 1)/4
Let r(f) be the first derivative of 3*f**4/4 + f**3 - 3*f**2 + 14. Determine j, given that r(j) = 0.
-2, 0, 1
Let x be 11/(-22)*(0 + 0). Factor 9/2*p - 3/2*p**3 + x*p**2 - 3.
-3*(p - 1)**2*(p + 2)/2
Let b(v) = 2*v**3 + 3*v**3 + 6*v**2 + 3*v**2 - 4*v**3. Let h be b(-9). Solve 0*x**2 - x**2 - 1 + 2*x**2 + h = 0 for x.
-1, 1
Suppose -l = 5*l. Find f, given that -1/3 + 1/3*f**2 + l*f = 0.
-1, 1
Let o be (288/(-22))/(158/(-79)). What is d in -252/11*d**3 - o*d - 98/11*d**4 - 8/11 - 218/11*d**2 = 0?
-1, -2/7
Let c = 21/4 - 89/20. Let w(a) be the first derivative of -2/5*a - 2/25*a**5 - c*a**2 - 4/5*a**3 - 1 - 2/5*a**4. Factor w(u).
-2*(u + 1)**4/5
Let y = -684/649 - 88/59. Let s = -62/33 - y. Let 8/3*x**3 + s + 2/3*x**4 + 4*x**2 + 8/3*x = 0. What is x?
-1
Solve u**2 + 1/2*u**3 - 3/2*u + 0 = 0.
-3, 0, 1
Let q(d) be the second derivative of d**7/1680 + d**6/480 - 5*d**4/12 + 2*d. Let p(f) be the third derivative of q(f). Factor p(i).
3*i*(i + 1)/2
Let g(t) = 28*t**4 + 24*t**3 + 4*t**2 - 8. Let a(j) = j**4 + 1. Let x = 2 + 6. Let d(v) = x*a(v) + g(v). Let d(w) = 0. What is w?
-1/3, 0
Let j(y) = y**2 + y. Let g(c) = 3*c**3 - 2*c**2 + c + 2. Let a(v) = 3*g(v) - 6*j(v). Find b, given that a(b) = 0.
-2/3, 1
Determine x so that -4*x + 0 + 4/3*x**2 = 0.
0, 3
Suppose -117 = 5*o - 2*o - 4*b, o + 3*b = -26. Let d be (-3)/(-7)*o/(-20). Factor 15/4*c**4 + 15/2*c**2 + d - 3/4*c**5 - 15/2*c**3 - 15/4*c.
-3*(c - 1)**5/4
Let o = 2/1991 + -107528/13937. Let t = 8 + o. Factor -2/7*u**4 + 0*u + 2/7*u**3 + 2/7*u**2 - t*u**5 + 0.
-2*u**2*(u - 1)*(u + 1)**2/7
Let x be 2 + (-135)/55 + 1/1. Solve 0 + 2/11*d**2 - x*d = 0 for d.
0, 3
Suppose -7*h = -1 - 13. Determine g so that -2/3 - 4/3*g - 2/3*g**h = 0.
-1
Let -2/9*z + 0 + 14/9*z**2 + 16/9*z**3 = 0. What is z?
-1, 0, 1/8
Let j(k) be the third derivative of 0*k + 0 + 0*k**3 - 1/80*k**6 - 1/40*k**5 + 1/140*k**7 - 3*k**2 + 1/16*k**4. Factor j(r).
3*r*(r - 1)**2*(r + 1)/2
Let h(w) be the third derivative of w**6/240 - w**5/60 + w**4/48 - 10*w**2. Find m such that h(m) = 0.
0, 1
Let v be (12/(-104))/((-81)/72 - -1). Let 4/13 + 6/13*h - 14/13*h**2 - 18/13*h**3 + v*h**5 + 10/13*h**4 = 0. Calculate h.
-1, -1/2, 2/3, 1
Let r = -11 - -13. Let f(v) be the third derivative of 0 + 0*v**4 + 0*v**3 + v**r + 1/120*v**6 + 0*v**5 + 0*v - 1/210*v**7. Factor f(h).
-h**3*(h - 1)
Let -2/9*i**5 + 0 + 2/9*i**3 + 2/9*i**4 - 2/9*i**2 + 0*i = 0. What is i?
-1, 0, 1
Let j be (-868)/(-308) + (-4)/(-22). Let m(d) be the third derivative of 1/120*d**5 + 0*d + 0 + 0*d**3 + 1/96*d**4 + j*d**2. Suppose m(p) = 0. Calculate p.
-1/2, 0
Let k = 4 + -4. Solve k*d**2 - 3/5*d**3 + 0 + 3/5*d = 0 for d.
-1, 0, 1
Suppose -44 = -4*x - d - 8, 4*d = x - 9. Determine a so that 8*a**2 - 3*a**4 + 4*a**4 - a - a**3 - x*a**2 + 2*a**3 = 0.
-1, 0, 1
Let r(k) be the first derivative of k**7/2940 + k**6/630 + k**5/420 - 2*k**3/3 - 2. Let z(n) be the third derivative of r(n). Factor z(d).
2*d*(d + 1)**2/7
Let a(l) be the third derivative of l**8/336 + l**7/63 + l**6/120 - 4*l**2. Solve a(w) = 0 for w.
-3, -1/3, 0
Let s(z) be the second derivative of -z**5/50 - z**4/10 - z**3/5 - z**2/5 + 8*z. Find l such that s(l) = 0.
-1
Let p(h) be the third derivative of -2*h**6/15 + h**5/15 + 2*h**4/3 - 2*h**3/3 - 22*h**2. Suppose p(c) = 0. Calculate c.
-1, 1/4, 1
Suppose 9*j**5 + 4*j**4 - 16*j**2 + 10*j**5 - 6*j**3 + 4*j**5 - 8*j - 21*j**5 = 0. Calculate j.
-2, -1, 0, 2
Let g(c) be the second derivative of c**5/70 - c**4/21 + c**3/21 + 6*c. Solve g(q) = 0 for q.
0, 1
Let -2/5*o - 2 + 2*o**2 + 2/5*o**3 = 0. Calculate o.
-5, -1, 1
Let c(y) be the third derivative of -1/735*y**7 - 2/21*y**3 + 0*y + 2*y**2 - 1/84*y**6 + 0 - 3/70*y**5 - 1/12*y**4. Factor c(i).
-2*(i + 1)**3*(i + 2)/7
Factor 3/5*o + 6/5 - 3/5*o**3 - 6/5*o**2.
-3*(o - 1)*(o + 1)*(o + 2)/5
Suppose -2 = 4*v + 4*p - 6, 0 = -5*v + 3*p + 13. Let a be (8/24)/(1/v). Find n such that 0 - n**2 - a*n = 0.
-2/3, 0
Let s(o) be the third derivative of o**7/70 - o**6/40 - 3*o**5/20 + 5*o**4/8 - o**3 + 11*o**2. Factor s(g).
3*(g - 1)**3*(g + 2)
Suppose -11/2*h**2 + 35/2*h - 25/2 + 1/2*h**3 = 0. Calculate h.
1, 5
Let j(h) = -3*h**3 + 3*h + 6. Let w(y) = -y**2 - y - 1. Let x(o) = -j(o) - 6*w(o). Solve x(n) = 0 for n.
-1, 0
Suppose 3*s + 2*j = -2*j + 4, 5*j = 4*s + 5. Suppose -4 = -2*v - 2*w, -w + 1 - 15 = -3*v. Factor 2/7*f**2 + 0*f**3 - 2/7*f**v + s + 0*f.
-2*f**2*(f - 1)*(f + 1)/7
Let w(t) be the second derivative of 1/24*t**4 - 1/90*t**6 + 0 - 1/120*t**5 + 1/36*t**3 + t - 1/12*t**2. What is s in w(s) = 0?
-1, 1/2, 1
Determine q so that -5*q**2 + 2 - 6 + 20*q - 4 - 7 = 0.
1, 3
Let m(a) = -a**4 - 4*a**2 + 2*a. Let t(y) = -y**2. Let h(b) = -3*m(b) + 21*t(b). Factor h(f).
3*f*(f - 2)*(f + 1)**2
Suppose 1 - 2*k**2 - k + k + 1 + k - k**3 = 0. Calculate k.
-2, -1, 1
Factor -1/2*b**2 + 3/4*b**4 - 1/4 - b**3 + b.
(b - 1)**2*(b + 1)*(3*b - 1)/4
Let x = -470 - -473. Solve 1/5*v**5 - 1/5*v**x - 7/5*v**2 + 3/5*v**4 + 0*v + 4/5 = 0.
-2, -1, 1
Suppose -424*b**2 + 178*b**2 + 40*b**3 + 131*b**2 - 15*b = 0. What is b?
-1/8, 0, 3
Let b be 86/1376 + (-15)/(-272). Factor -2/17*s - 6/17*s**3 + 0 + 6/17*s**2 + b*s**4.
2*s*(s - 1)**3/17
Factor -4*w**2 - 8*w + 0 - 1/2*w**3.
-w*(w + 4)**2/2
Let f(c) = 3*c**3 + 11*c**2 + 27*c + 29. Let t(x) = -x**3 - x**2 - 1. Let g(y) = -5*f(y) - 10*t(y). Suppose g(r) = 0. Calculate r.
-3
Let y(x) = -15*x**2 - 30*x - 5. Let i(b) = -b**2 + b + 1. Let l(h) = 5*i(h) + y(h). Factor l(m).
-5*m*(4*m + 5)
Let g be -2*(1 + 6/(-5)). Let v(n) be the first derivative of g*n - 6/5*n**2 - 1 + 6/5*n**3. Factor v(z).
2*(3*z - 1)**2/5
Let s(m) be the first derivative of m**7/1260 - m**6/540 - m**5/180 + m**4/36 + 5*m**3/3 - 6. Let o(v) be the third derivative of s(v). Let o(u) = 0. What is u?
-1, 1
Let m = -3 - -7. Suppose 0 = 5*l + m - 14. Determine r so that 2/3*r**l - 2/3*r - 4/3 = 0.
-1, 2
Let c(p) = -12*p - 2*p**2 + 2 + p**3 + 3*p**2 + 9*p. Let t(d) = d**2. Let s(a) = c(a) - t(a). Factor s(j).
(j - 1)**2*(j + 2)
Let g(f) = -f**3 - 5*f**2 - 16*f - 10. Let b(p) = -p**2 + p + 1. Let j(a) = -6*b(a) - 3*g(a). Solve j(n) = 0.
-4, -2, -1
Let t be (0 + 3)*3/54. Let k(z) be the second derivative of 0 + 3/10*z**5 + 0*z**3 + 0*z**2 - 1/5*z**6 - t*z**4 + z + 1/21*z**7. Factor k(l).
2*l**2*(l - 1)**3
Let a(i) = 3*i**2 - 14*i - 16. Let g(v) = -v**2 + v - 1. Let w(t) = a(t) + 2*g(t). Let j(p) = -p**2. Let y(u) = -3*j(u) - w(u). Determine x so that y(x) = 0.
-3
Let z = -27 - -156/5. Let c(a) be the first derivative of -4 - 2*a**3 - z*a**5 + 27/4*a**4 + 0*a**2 + 0*a. Let c(b) = 0. What is b?
0, 2/7, 1
Let o(s) be the second derivative of 2401*s**6/90 + 686*s**5/15 + 98*s**4/3 + 112*s**3/9 + 8*s**2/3 + 8*s. Factor o(b).
(7*b + 2)**4/3
Let w be 2/(-20)*(-39)/9. Let t = w + -1/10. Let 1/3*a**2 + t*a + 0 = 0. What is a?
-1, 0
Let v(x) be the first derivative of -2/9*x - 1/3*x**2 + 10/27*x**3 + 3 - 8/45*x**5 + 1/6*x**4. Solve v(w) = 0.
-1, -1/4, 1
Let y(i) = 3*i**3 + 8*i**2 - i + 2. Let g(h) = 8*h**3 + 23*h**2 - 4*h + 6. Let x(d) = 4*g(d) - 11*y(d). What is a in x(a) = 0?
1, 2
Suppose 4*r - 3*u = -2*u + 18, -4*r + 16 = -2*u. Suppose 1/2*v**4 + 1/2*v**r + 0 - 1/2*v**2 + 0*v - 1/2*v**3 = 0. What is v?
-1, 0, 1
Let a(i) be the third derivative of -i**7/1680 + i**6/480 + i**5/480 - i**4/96 - i**2. Find z, given that a(z) = 0.
-1, 0, 1, 2
Let f(v) = v**3 + 13*v**2 - 16*v - 28. Let l be f(-14). Factor 2/5*y**2 + l + 0*y.
2*y**2/5
Suppose 5*a - 17 = 18. Suppose -a = -m - 3. Suppose -8/3*y**2 + 0 - 1/3*y**m + 5/3*y**3 + 4/3*y = 0. What is y?
0, 1, 2
Let o = 4/5 + 7/10. Suppose 11*r = 7*r. Find s, given that 0*s + 0 + r*s**2 + o*s**3 = 0.
0
Let d(s) be the first derivative of -s**4 - 8*s**3/3 + 2*s**2 + 8*s + 1. Factor d(l).
-4*(l - 1)*(l + 1)*(l + 2)
Factor 1/6*p**3 + 0 + 1/3*p - 1/2*p**2.
p*(p - 2)*(p - 1)/6
Let g be (0 - -1) + (-472)/48 + 9. Factor -1/3*k + 1/6*k**2 + g.
(k - 1)**2/6
Suppose 3*d = -5*d. Factor 0 + d*b + 2/5*b**2.
2*b**2/5
Let z(p) be the second derivative of p**7/10080 + p**6/1440 + p**5/480 + p**4/6 + 2*p. Let y(r) be the third derivative of z(r). Suppose y(u) = 0. What is u?
-1
Let w(g) = -4*g**2. Let n(q) = 4*q**2 + 1. Let m