 0 for x.
-2/3, 0
Let c(s) = -6*s**3 + 15*s**2 - 18*s + 3. Let q(a) = 5*a**3 - 16*a**2 + 17*a - 2. Let r(o) = -2*c(o) - 3*q(o). Determine m so that r(m) = 0.
0, 1, 5
Factor 4/7*b - 3/7 - 1/7*b**2.
-(b - 3)*(b - 1)/7
Let z(t) be the first derivative of t**3 + 4 + 3 + 3*t**2 - 6*t**2. Find p, given that z(p) = 0.
0, 2
Let r(u) = -u**3 - u**2 + u - 4. Let k(w) = 3*w**3 + 4*w**2 - 4*w + 13. Let i(d) = -2*k(d) - 7*r(d). Let b be i(0). Find q such that q - 1 - q**b + 0*q + q = 0.
1
Let -1/5*n**5 + 0*n**2 - 1/5*n**3 + 0 - 2/5*n**4 + 0*n = 0. Calculate n.
-1, 0
Factor -2*v - 15*v**3 + 1 - 5*v**2 + 1 + 3*v**2 + 17*v**3.
2*(v - 1)**2*(v + 1)
Let h be 12/8*8/6. Factor 2*i**h - 2*i**3 + 3*i**3 - i**3 + 2*i**3.
2*i**2*(i + 1)
Let f be 4*(-6)/(-8) - (-55)/(-20). Suppose 1/2 + f*n**2 - 3/4*n = 0. Calculate n.
1, 2
Suppose 23 = 4*a + 15. Factor 2/7*x + 2/7*x**4 + 0 + 6/7*x**3 + 6/7*x**a.
2*x*(x + 1)**3/7
Let n be 4/10*3*-20. Let f = n + 49/2. Determine g, given that 0 + g + f*g**2 = 0.
-2, 0
Let 3*f**2 - 4*f**4 - 2*f**4 - 7*f**2 - 3*f**4 - 12*f**3 = 0. What is f?
-2/3, 0
Let j be (-540)/175 + 4 + -1. Let f = 79/105 + j. Determine d so that -2/3*d**3 + 0 - 4/3*d**2 - f*d = 0.
-1, 0
Let p(d) = d**3 + 13*d**2 + 13*d + 12. Suppose 3*w + 24 = 3*n, -2*w + n = -7*w - 64. Let h be p(w). Find o, given that h*o**2 + 0*o - 2/5*o**4 + 0 + 0*o**3 = 0.
0
Let r(l) = -6*l**4 + 16*l**3 - 36*l**2 + 16*l - 14. Let p(y) = -4*y**4 + 11*y**3 - 24*y**2 + 11*y - 9. Let m(v) = -8*p(v) + 5*r(v). Suppose m(d) = 0. What is d?
1
Let v(k) be the first derivative of 1/27*k**6 - 2/15*k**5 + 1/6*k**4 + 2 - 2/27*k**3 + 0*k**2 + 0*k. Factor v(o).
2*o**2*(o - 1)**3/9
Let w = -2581/396 - -72/11. Let l(i) be the third derivative of 1/9*i**3 - 3*i**2 + 0*i + 0 - w*i**4 + 1/360*i**5. Let l(g) = 0. Calculate g.
2
Let z(j) be the second derivative of -2*j**6/15 - j**5/5 + 2*j**4/3 + 15*j. Factor z(c).
-4*c**2*(c - 1)*(c + 2)
Let m(a) be the third derivative of 0 + 1/2*a**4 + 0*a**3 + 0*a - 1/15*a**5 - 6*a**2. Let m(o) = 0. Calculate o.
0, 3
Let g(q) be the third derivative of 1/4*q**4 + 0*q + 1/70*q**7 + 0*q**3 - 3/20*q**5 - 2*q**2 + 0 + 0*q**6. Suppose g(u) = 0. Calculate u.
-2, 0, 1
Let o(j) be the first derivative of 0*j - 14/5*j**5 + 13/6*j**3 + 2 - 13/8*j**4 - 1/2*j**2. Find b such that o(b) = 0.
-1, 0, 1/4, 2/7
Factor 7*h**4 + 19*h**3 - 14*h**3 - 5*h**2 - 2*h**4 - 5*h.
5*h*(h - 1)*(h + 1)**2
Solve -1/4*v**4 + 3/4*v**2 + 0*v**3 - 1/2*v + 0 = 0.
-2, 0, 1
Let i(z) be the second derivative of -7*z**5/30 + z**4/2 + 4*z**3/3 - 4*z**2/3 - 8*z. Determine h so that i(h) = 0.
-1, 2/7, 2
Let d(y) be the first derivative of -y**7/2940 - y**6/315 - y**5/84 - y**4/42 + y**3 - 1. Let k(p) be the third derivative of d(p). Factor k(b).
-2*(b + 1)**2*(b + 2)/7
Let y(c) be the second derivative of 1/6*c**4 - 1/5*c**5 + 0*c**3 + 0*c**2 + 0 + 8*c. Factor y(l).
-2*l**2*(2*l - 1)
Let h(f) = -f**5 + f**4 + f**2 - 1. Let p(l) = 4*l**5 - 6*l**4 + 3*l**3 - 4*l**2 - 2*l + 5. Suppose 0*z - 2 = 2*z. Let k(m) = z*p(m) - 5*h(m). Factor k(y).
y*(y - 1)**2*(y + 1)*(y + 2)
Suppose -11*i + 10 = -6*i + 2*s, -3*s + 1 = 4*i. Suppose i*m**3 - 4/3*m**2 + 0*m + 0 - 8/3*m**4 = 0. What is m?
0, 1/2, 1
Let y be 2/((1 + 1)/2). Let p = 3 - y. Let m(q) = q**3 + q**2 + 1. Let a(f) = -4*f**3 + 6*f**2 - 10*f + 2. Let s(c) = p*a(c) + 2*m(c). Factor s(z).
-2*(z - 2)*(z - 1)**2
Let l(m) be the first derivative of 6 + 2/5*m**3 - 2/15*m + 8/75*m**5 - 1/15*m**2 - 11/30*m**4. Factor l(r).
2*(r - 1)**3*(4*r + 1)/15
Let k be 2/(-13) - 474/(-39). Let s be 23/k - (-4)/(-6). Factor -11/2*c**4 - 8*c**2 - s*c**5 - 19/2*c**3 - 13/4*c - 1/2.
-(c + 1)**4*(5*c + 2)/4
Let t be (-2)/(-10)*40/12. Find w such that 2*w - 2/3*w**5 + t - 4/3*w**3 - 2*w**4 + 4/3*w**2 = 0.
-1, 1
Let q(a) be the second derivative of a**5/160 + a**4/12 + 5*a**3/12 + a**2 - 7*a. Let q(t) = 0. What is t?
-4, -2
Let d(a) be the third derivative of 0*a + 1/60*a**4 + 1/150*a**6 + 2/15*a**3 - 1/30*a**5 + 4*a**2 + 0. Solve d(x) = 0 for x.
-1/2, 1, 2
Suppose -3*i = 5*n + 8 + 7, -10 = -2*n + 2*i. Let p(l) be the first derivative of n*l**2 + 0*l - 1/12*l**3 + 3. Solve p(c) = 0 for c.
0
Let p(g) be the third derivative of -g**9/10080 + g**7/1680 + g**4/12 + 3*g**2. Let h(x) be the second derivative of p(x). Factor h(z).
-3*z**2*(z - 1)*(z + 1)/2
Let u(v) be the third derivative of 1/240*v**6 + 0*v - 1/48*v**4 + 0 + 0*v**3 + 0*v**5 - 4*v**2. Solve u(g) = 0.
-1, 0, 1
Let l = 204 + -1017/5. Let n = -59/8 - -367/40. Find a such that 3/5 - n*a - 9/5*a**4 + 6/5*a**2 + l*a**5 + 6/5*a**3 = 0.
-1, 1
Suppose -8 = -4*v - 32. Let u(s) = -2*s**5 + 10*s**4 - 2*s**3 + 6*s**2 + 6*s. Let y(n) = -n**4 - n**2 - n. Let o(g) = v*y(g) - u(g). Factor o(k).
2*k**3*(k - 1)**2
Let d be (-21)/28*16/(-30). Let 0*w**2 + 0*w**4 - 2/5*w + 0 - d*w**5 + 4/5*w**3 = 0. Calculate w.
-1, 0, 1
Find i such that -1/2*i**2 + 0*i + 1/4*i**3 + 0 = 0.
0, 2
Let a be (-80)/12 + 7 - 2/42. Factor -a*b**2 + 0 + 0*b.
-2*b**2/7
Let s(n) be the third derivative of -n**9/15120 - n**8/6720 + n**7/2520 + n**6/720 + n**4/8 + n**2. Let p(m) be the second derivative of s(m). Factor p(l).
-l*(l - 1)*(l + 1)**2
Suppose -2*g**2 + 1/2*g**5 - 3*g**3 - 3 + g**4 + 13/2*g = 0. What is g?
-3, -2, 1
Let c be 4/(-6)*7/91*-3. Factor -2/13*p**4 + 0 + 0*p + 4/13*p**3 - c*p**2.
-2*p**2*(p - 1)**2/13
Let x = 21 + -15. Suppose 3*h + x - 15 = 0. Factor 0*p - p**2 - 1/3*p**h + 4/3.
-(p - 1)*(p + 2)**2/3
Let c(q) be the first derivative of 2*q**3/27 + 2*q**2/9 + 2*q/9 + 2. Suppose c(x) = 0. What is x?
-1
Suppose 0 = -3*m - 3*o - 3, 3*o - o = 2*m - 10. Determine f so that -1/6 - 1/2*f**m - 1/2*f - 1/6*f**3 = 0.
-1
Let j(m) = -m**5 + 7*m**4 - m**3 + m**2 + 8*m + 1. Let k(v) = v**5 - 8*v**4 - 2*v**2 - 9*v - 2. Let g(l) = 4*j(l) + 3*k(l). Suppose g(r) = 0. Calculate r.
-1, 1, 2
Suppose -2 = 4*x - 22. Factor -x*u**2 + 16 + 3*u**2 - 34 - 12*u.
-2*(u + 3)**2
Suppose a = 4*a - 9. Suppose -19 = -3*t - a*n + 5*n, 3*t + 3*n = -6. Factor 6*i**2 - 2*i**2 + t*i**4 - 2*i**4 + 4*i**3.
i**2*(i + 2)**2
Let x(m) be the third derivative of m**5/60 - m**4/6 + m**3/2 + 2*m**2. Factor x(u).
(u - 3)*(u - 1)
Let u = -7 + 16. Factor -5*w**4 - 5*w**3 + 2*w**5 + u*w**4 - 3*w**4 + 4*w**3.
w**3*(w + 1)*(2*w - 1)
Let s(r) be the second derivative of -r**4/6 + r**3 + 4*r**2 + 18*r. Factor s(i).
-2*(i - 4)*(i + 1)
Let b(z) be the first derivative of 2*z**3 + 0*z - 3/2*z**2 - 3/4*z**4 + 1. Suppose b(g) = 0. Calculate g.
0, 1
Let o(q) be the first derivative of q**6/12 - 3*q**5/5 + 13*q**4/8 - 2*q**3 + q**2 - 31. Factor o(g).
g*(g - 2)**2*(g - 1)**2/2
Let d(o) = 20*o**2 + 35*o + 10. Let p(t) = 3*t**2 + 2*t**2 + 12*t + 2*t**2 + 3 + 0*t. Let k(m) = -6*d(m) + 17*p(m). Suppose k(z) = 0. What is z?
-3
Let n(c) be the second derivative of -c**8/26880 - c**7/3360 - c**6/960 - c**5/480 - c**4/6 + 2*c. Let a(o) be the third derivative of n(o). Factor a(b).
-(b + 1)**3/4
Let m(q) be the first derivative of -2*q**5/35 + 2*q**3/7 + 2*q**2/7 + 2. Factor m(u).
-2*u*(u - 2)*(u + 1)**2/7
Let l(i) = -2*i + 3. Let u(b) = 3*b - 2. Let h(t) = 4*l(t) + 3*u(t). Let s be h(-6). Factor 2/7*x**2 + s*x + 0.
2*x**2/7
Let c(h) be the second derivative of 3*h**5/5 - 10*h**4/3 + 2*h**3 + 16*h. Factor c(s).
4*s*(s - 3)*(3*s - 1)
Let r be (2/1)/((-2)/(-3)). Suppose -4 = -2*d + d. Factor -3*t**2 + 2*t**3 - t**r + d*t**2.
t**2*(t + 1)
Let y be 3/9*1*(-9)/(-21). Let p(a) be the first derivative of 0*a - y*a**2 - 4 - 2/21*a**3 + 2/35*a**5 + 1/14*a**4. Find k, given that p(k) = 0.
-1, 0, 1
Suppose 0 + 8 = 2*j. Suppose j*c - 5*c = -2. Factor -5/2*f**c - 9/4*f - 1/2.
-(2*f + 1)*(5*f + 2)/4
Let f = -7 + 10. Let a be 7/f - (-2)/(-6). What is b in 0 - a*b**2 + 10/3*b**3 - 4/3*b = 0?
-2/5, 0, 1
Let m(k) be the first derivative of -k**6/11 + 4*k**5/55 + k**4/22 - 2. Factor m(g).
-2*g**3*(g - 1)*(3*g + 1)/11
Let y(t) be the first derivative of 20/9*t**3 + 1 - 7/4*t**4 - 2/3*t**2 + 7/18*t**6 + 0*t - 2/15*t**5. Suppose y(w) = 0. Calculate w.
-2, 0, 2/7, 1
Suppose 5*c - 7 = -i, 5*c + 3*i + 4 = 5. Factor -r**4 - r - 1 + c*r**2 + r.
-(r - 1)**2*(r + 1)**2
Suppose 22 = 2*y + 5*r, 0*y + 7 = 3*y + r. Let h(d) be the first derivative of 0*d + 0*d**2 - y - 1/8*d**4 - 1/6*d**3. Suppose h(b) = 0. What is b?
-1, 0
Let z be (4 - 2540/630)*-9. Solve 2/7*o**5 + 2/7*