 -2/7, 1
Let y be ((-6)/(-5))/(56/210). Let u = 7 + -7. Determine x so that u*x - y*x**3 + 3/2*x**2 + 0 + 9/2*x**4 - 3/2*x**5 = 0.
0, 1
Solve 0*c - 2/19*c**2 - 6/19*c**3 + 0 + 2/19*c**4 + 6/19*c**5 = 0 for c.
-1, -1/3, 0, 1
Let j(s) = s**3 - 4*s**2 - 7*s. Let c(z) = -z**3 + z - 1. Suppose 2*m + 4*r - 4 = -0*m, 6 = 3*m - 4*r. Let f(p) = m*c(p) + j(p). Solve f(x) = 0 for x.
-2, -1
Let p(t) be the first derivative of t**6/15 + 4*t**5/25 - 4*t**3/15 - t**2/5 + 11. Solve p(a) = 0 for a.
-1, 0, 1
Let k(u) be the first derivative of -u**4/12 - u**3 - 9*u**2/2 - 9*u + 2. Let k(l) = 0. Calculate l.
-3
Let i(d) = 2*d**2 - d - 2. Let r be i(2). Factor 18*w**2 + 8 + r*w - 8.
2*w*(9*w + 2)
Let n(v) be the first derivative of 1/12*v**4 + 0*v**2 - 2/15*v**5 - 1/18*v**6 + 0*v + 2 + 2/9*v**3. Let n(q) = 0. Calculate q.
-2, -1, 0, 1
Let m = 35 - 103/3. Factor -x + x**3 - m + 1/3*x**4 + 1/3*x**2.
(x - 1)*(x + 1)**2*(x + 2)/3
Let o be 18/(-324)*(-1 + -1). Let w(j) be the first derivative of 13/6*j**4 + 8/3*j**3 + 4/3*j**2 - 3 + 0*j + o*j**6 + 4/5*j**5. Find v, given that w(v) = 0.
-2, -1, 0
Suppose -13*j + 9*j - 15 = -5*x, 4*j - 4*x + 12 = 0. Factor 3/7*f**2 - 6/7*f + j.
3*f*(f - 2)/7
Let t(o) = -o**3 + 5*o**2 - 5*o + 6. Let k = 5 + -1. Let a be t(k). Factor 2*i**4 - 1 + a*i**3 - 2*i - 4*i**4 - i**4 + 4*i**4.
(i - 1)*(i + 1)**3
Let i = 13 - 15. Let s be 2 + 2 + i - -1. Suppose -1/5*k - 4/5*k**4 + 0 + 1/5*k**s + 4/5*k**2 = 0. Calculate k.
-1, 0, 1/4, 1
Suppose b = 6*b - 65. Suppose -2*t = b - 43. Suppose 3*g**3 - 1 - 12 - t*g**2 + 37*g - 13*g + 1 = 0. What is g?
1, 2
Let s(t) = 3*t**3 - 6*t**2 + 3*t + 3. Let c(h) = -h**4 + h**3 - h**2 + h + 1. Let b(x) = -3*c(x) + s(x). Factor b(d).
3*d**2*(d - 1)*(d + 1)
Let n(y) be the third derivative of y**6/240 - y**5/30 + y**4/12 - y**2 - 4. What is t in n(t) = 0?
0, 2
Let g(h) be the second derivative of -h**8/560 - h**3/6 - 4*h. Let z(c) be the second derivative of g(c). Find k, given that z(k) = 0.
0
Find d such that -2*d**5 + 3*d**5 + 8*d**2 + 2*d + d**5 + 8*d**4 + 12*d**3 = 0.
-1, 0
Let f be ((-2)/(-18))/1*369/82. Find h such that 1/2*h**2 + f*h - 1 = 0.
-2, 1
Let a be (-52)/(-14) - 12/(-42). Let p(h) = 2*h - 8. Let w be p(7). Suppose 1 + 4*i**3 + 3*i**2 - w*i**a + 2*i**5 + i**2 + 1 - 6*i = 0. Calculate i.
-1, 1
Suppose -3*s + 2 = 5*b - 13, 4*s - 20 = -b. Let h be (-2 + b)/(16/(-4)). Factor -1/2*j + 0 + h*j**3 + 0*j**2.
j*(j - 1)*(j + 1)/2
Let i(g) be the second derivative of 1/45*g**6 - 1/18*g**4 + 0 + 1/63*g**7 + 0*g**3 - 1/30*g**5 + 0*g**2 - 3*g. Factor i(l).
2*l**2*(l - 1)*(l + 1)**2/3
Let o(t) be the second derivative of t**7/1120 - t**6/240 + t**5/160 + t**3/2 + 5*t. Let x(f) be the second derivative of o(f). Factor x(n).
3*n*(n - 1)**2/4
Let a be (-1 + -5)*1/(-10). Solve 0 - a*m**2 + 0*m = 0.
0
Factor -2*u**2 + 2 - 12*u - 12 - 2 - u**2.
-3*(u + 2)**2
Let x = -6 + 10. Suppose -s + 5*y = -15, x*y + 12 = 5*s - s. Let 0 + 0*i**2 + 1/3*i**3 + 0*i**4 - 1/3*i**5 + s*i = 0. What is i?
-1, 0, 1
Suppose 3*r + r**2 + 3*r - 9*r + 10*r + 10 = 0. Calculate r.
-5, -2
Let h(n) be the first derivative of -16*n**3/21 - 24*n**2/7 - 36*n/7 - 2. Factor h(i).
-4*(2*i + 3)**2/7
Let y(j) = -3*j**2 - 114*j - 969. Let f(i) = -9*i**2 - 340*i - 2908. Let v(s) = 3*f(s) - 8*y(s). What is t in v(t) = 0?
-18
Let n be 2/(-6) - 14/(-6). Let m = -2 - -4. Suppose 2*g + n*g**m + 3*g - 3*g = 0. What is g?
-1, 0
Let -35*t**2 + 36 - 51*t - 3*t**2 + 9*t + 34*t**3 - 6*t**4 + 0*t**4 = 0. Calculate t.
-1, 2/3, 3
Let i(z) be the first derivative of z**6/6 - 2*z**5/5 + 2*z**3/3 - z**2/2 - 4. Let i(b) = 0. What is b?
-1, 0, 1
Let w(m) be the third derivative of 0 + 1/24*m**4 + 0*m - 1/240*m**6 + 0*m**3 + 1/120*m**5 + 3*m**2. Suppose w(b) = 0. What is b?
-1, 0, 2
Let t be (18/(-8) - -2)/(128/(-192)). Factor 0*x**3 - 1/8*x**5 + 0*x - t*x**4 + 1/2*x**2 + 0.
-x**2*(x - 1)*(x + 2)**2/8
Let k(p) be the second derivative of -p**7/1050 + p**6/600 - 3*p**2 + 6*p. Let a(b) be the first derivative of k(b). Factor a(m).
-m**3*(m - 1)/5
Let b(p) = 4*p**3 - 4*p - 3. Let v(u) = -3*u**3 + 4*u + 3 + 0*u - 1 - u. Let t(z) = -2*b(z) - 3*v(z). Factor t(a).
a*(a - 1)*(a + 1)
Let j(c) be the first derivative of c**6/18 - c**5/5 + c**4/6 + 2*c**3/9 - c**2/2 + c/3 - 5. Factor j(h).
(h - 1)**4*(h + 1)/3
Let l(b) = 3*b**3 - 3*b**2 + b - 1. Let h(c) = 7*c**3 - 6*c**2 + c - 2. Let k(n) = -2*h(n) + 5*l(n). Factor k(v).
(v - 1)**3
Factor -2/5*q**4 + 0*q**2 + 3/5*q**3 + 0*q + 0 - 1/5*q**5.
-q**3*(q - 1)*(q + 3)/5
Let u be (-24)/(-36)*(-18)/(-4). Factor f**4 + 0*f - 3*f**u + 0*f + 3*f**2 + 0*f**4 - f.
f*(f - 1)**3
Let f be (4 - 5) + 0 + 1. Suppose -13*p + 14*p = f. Factor -2/5*u**3 + 0 + p*u**2 + 0*u.
-2*u**3/5
Let b(z) = 7*z**2 + 5. Let d(s) be the second derivative of -s**4/4 - s**2 + 4*s. Let k(l) = -4*b(l) - 10*d(l). Let k(y) = 0. Calculate y.
0
Suppose -2*s - 3*l + 31 = 0, -6*s + s + 60 = 4*l. Let f = 12 - s. Determine i, given that -i + 2*i**5 + 3*i - 2*i**4 - 3*i**3 + i**3 - 2*i**3 - 2 + f*i**2 = 0.
-1, 1
Let t(d) be the second derivative of d**7/1260 - d**6/540 - d**5/36 - d**4/12 - d**3/2 - 9*d. Let u(h) be the second derivative of t(h). Factor u(x).
2*(x - 3)*(x + 1)**2/3
Let f(j) be the third derivative of -1/96*j**4 + 1/12*j**3 - 1/240*j**5 + 0*j - j**2 + 0. Factor f(x).
-(x - 1)*(x + 2)/4
Let a(u) be the second derivative of u**7/56 - u**6/30 - u**5/5 - u**4/24 + 13*u**3/24 + 3*u**2/4 + 14*u + 2. Let a(o) = 0. Calculate o.
-1, -2/3, 1, 3
Let k(n) be the second derivative of 5*n**6/48 - n**5/24 - n**4/3 - n**3/3 + n**2/2 - 3*n. Let t(r) be the first derivative of k(r). Let t(p) = 0. Calculate p.
-2/5, 1
Suppose 0 = 5*r - 6*r + 3. Let q be 1/r*(-27)/(-36). Factor -1/4 + 1/4*m**2 + 1/4*m - q*m**3.
-(m - 1)**2*(m + 1)/4
Let b = -116 - -349/3. What is i in 0*i**2 + 0 + b*i**3 + 0*i = 0?
0
Let k(u) be the first derivative of 0*u + 0*u**3 + 1/4*u**4 + 1/5*u**5 - 4 + 0*u**2. Let k(c) = 0. Calculate c.
-1, 0
Let x(s) be the first derivative of -s**6/1080 - s**5/360 - s**3/3 - 1. Let m(j) be the third derivative of x(j). Find q, given that m(q) = 0.
-1, 0
Suppose 2 = -b + 5. Let p(t) be the first derivative of -2 + 0*t**2 + 1/8*t**4 + 0*t**b + 0*t. Determine c so that p(c) = 0.
0
Let q(t) = 8*t**5 + 15*t**4 + 7*t**3 + 3*t**2. Let k(g) = -9*g**5 - 15*g**4 - 6*g**3 - 4*g**2. Let o(b) = 3*k(b) + 4*q(b). Let o(l) = 0. Calculate l.
-2, -1, 0
Let w = -13 - 9. Let m be 2/8 - w/8. Find o such that o**2 - 3*o**2 + m*o**2 + 0*o**2 = 0.
0
Let v(m) be the first derivative of -m**5/15 - m**4/6 + m**2/3 + m/3 - 13. Factor v(r).
-(r - 1)*(r + 1)**3/3
Factor -2/7*f**5 - 2/7*f**4 + 0*f + 2/7*f**3 + 0 + 2/7*f**2.
-2*f**2*(f - 1)*(f + 1)**2/7
Let y(m) be the third derivative of m**5/45 + 2*m**4/3 + 8*m**3 + m**2. Determine r so that y(r) = 0.
-6
Let n(i) be the first derivative of 1 + 0*i + 1/9*i**2 - 32/45*i**5 + 4/3*i**4 - 2/3*i**3. Solve n(g) = 0 for g.
0, 1/4, 1
Let j(h) = 5*h**2 + 15*h - 20. Let s(d) = -3*d**2 - 7*d + 10. Let w(b) = -2*j(b) - 5*s(b). Suppose w(p) = 0. Calculate p.
-2, 1
Let l(v) be the second derivative of 2/21*v**4 + 0*v**2 + 0 + 1/105*v**6 + v + 0*v**3 - 2/35*v**5. Factor l(m).
2*m**2*(m - 2)**2/7
Let u(m) = -4*m. Let n be (-6 - -7)*(-2)/2. Let s be u(n). Suppose 1/2*l**5 + 0*l**2 + 0 + 0*l + 0*l**3 + 1/2*l**s = 0. What is l?
-1, 0
Let y(a) be the second derivative of a**5 + 3*a**4 + 2*a**3 - 2*a**2 + 4*a. Factor y(o).
4*(o + 1)**2*(5*o - 1)
Factor 2*v**3 - 5*v**3 + 0*v**5 - 6*v**2 + 3*v**5 + 6*v**4.
3*v**2*(v - 1)*(v + 1)*(v + 2)
Let y(k) be the first derivative of k**3/3 - 3*k**2/2 + 2*k + 40. Find h such that y(h) = 0.
1, 2
Let z(h) = -3*h**3 + h**2 - 2. Let a(d) = 16*d**3 - 6*d**2 + 11. Let f(l) = -4*a(l) - 22*z(l). Let f(n) = 0. Calculate n.
-1, 0
Let c(q) be the first derivative of -1/6*q**2 + 1/9*q**3 + 3 + 0*q. Factor c(d).
d*(d - 1)/3
Let t(l) = -l**3 - l**2 + l. Let a(s) = -15*s**4 - 8*s**3 + 22*s**2 + 8*s - 2. Let i(v) = 3*a(v) + 15*t(v). Suppose i(w) = 0. What is w?
-1, 2/15, 1
Suppose 0*n - 6*n = 2*n. Factor -2/7*y**5 + 4/7*y**3 + 0 + n*y**2 + 0*y**4 - 2/7*y.
-2*y*(y - 1)**2*(y + 1)**2/7
Let v = 5384/3045 - 51/29. Let w(g) be the second derivative of 0 + 2/21*g**3 + 0*g**4 + 2*g - 1/7*g**2 + v*g**6 - 1/35*g**5. Solve w(u) = 0 for u.
-1, 1
Let y(x) = 10*x**5 - 25*x*