hat z(b) = 0.
-1, 1
Let c(m) = 10*m - 6. Let h be c(4). Suppose -5*y + 138 = 3*t, 6*t + h = y + 5*t. Factor -22*p**3 - 18*p + 2*p**4 - 10 + 14 + y*p**2 + 4*p**4.
2*(p - 1)**3*(3*p - 2)
Factor 3/2*q - 1/2*q**4 + 5/2*q**3 + 0 - 7/2*q**2.
-q*(q - 3)*(q - 1)**2/2
Let n(w) be the first derivative of -7*w**5/10 - 3*w**4/2 - 2*w**3/3 - 3*w - 2. Let v(l) be the first derivative of n(l). Solve v(r) = 0 for r.
-1, -2/7, 0
Suppose 5*k**4 + 38 + 21 - 138 + 34 - 10*k**3 + 90*k - 40*k**2 = 0. Calculate k.
-3, 1, 3
Let c(u) be the first derivative of -5*u**4/3 - 16*u**3/3 - 8*u**2/3 - 29. Solve c(f) = 0.
-2, -2/5, 0
Let o(n) = n - 7. Let k be o(10). Factor -x**2 - k*x**2 + 0*x**2.
-4*x**2
Let d(o) be the second derivative of o**6/60 - o**4/24 + 10*o. Solve d(b) = 0 for b.
-1, 0, 1
Let j(m) = 2*m**2 + 2*m - 16. Let g(z) = -z**2 + z. Let h(u) = -2*g(u) + j(u). Factor h(o).
4*(o - 2)*(o + 2)
Let o(w) be the third derivative of -9*w**8/784 + 3*w**6/56 - w**5/42 - 5*w**4/42 + 4*w**3/21 - 7*w**2. Determine b, given that o(b) = 0.
-1, 2/3
Let s(u) = -4*u + u + 9*u**2 - u. Let g be 0 + 6/3*-3. Let y(c) = -4*c**2 + 2*c. Let p(v) = g*s(v) - 13*y(v). Let p(f) = 0. Calculate f.
-1, 0
Let n(z) be the third derivative of -z**6/50 + 3*z**5/25 - 9*z**4/40 + z**3/5 - 9*z**2. What is y in n(y) = 0?
1/2, 2
Let f be -1*(2/(-2) + -1). Determine z so that 3*z + 2*z**f - 3*z - 2*z + 0*z = 0.
0, 1
Let p(j) be the first derivative of -2*j**5/15 + 7*j**4/12 + 2*j**3/3 - 5*j**2 + 5. Let q(h) be the second derivative of p(h). Factor q(b).
-2*(b - 2)*(4*b + 1)
Let z = 78 - 78. Let k(q) be the third derivative of 0*q**3 + 0*q + 0*q**6 - 1/20*q**5 + 0 - 2*q**2 + 1/70*q**7 + z*q**4. Factor k(v).
3*v**2*(v - 1)*(v + 1)
Let s(i) be the first derivative of i**6/51 + 18*i**5/85 + 27*i**4/34 + 46*i**3/51 - 24*i**2/17 - 72*i/17 - 50. Suppose s(y) = 0. What is y?
-3, -2, 1
Let f(g) = 2*g**3 - 7*g**2 - 5*g. Let i(r) = -2*r**3 + 8*r**2 + 6*r. Let x(v) = 6*f(v) + 5*i(v). Factor x(t).
2*t**2*(t - 1)
Let t(a) = a**4 + 9*a**3 - 19*a**2 + 4*a. Let g(x) = x**4 - x**3 + x**2. Let w(z) = 5*g(z) + t(z). Factor w(k).
2*k*(k - 1)*(k + 2)*(3*k - 1)
Find l such that -8*l**2 - 10*l**4 + 0 - 7/3*l**5 - 43/3*l**3 - 4/3*l = 0.
-2, -1, -2/7, 0
Let z be 0*((-24)/(-15))/8. Let f(s) be the first derivative of z*s**3 + 1 + s**4 - 2/5*s**5 + 0*s**2 + 0*s. Factor f(r).
-2*r**3*(r - 2)
Suppose 0 = -3*z + 6*z + 14*z. Find t, given that -3/2*t**4 + z - 1/2*t**2 - 1/2*t**5 + 0*t - 3/2*t**3 = 0.
-1, 0
Factor 4/5*i**3 + 0*i - 16/5 + 12/5*i**2.
4*(i - 1)*(i + 2)**2/5
Let x = -151 + 759/5. Factor -8/5*z + 4/5*z**2 + x.
4*(z - 1)**2/5
Let b(h) = 2*h - 6. Let u be b(5). Let z(w) = -3*w**2 - w + 2. Let g(o) = 4*o**2 + 2*o - 2. Let x(n) = u*z(n) + 5*g(n). Suppose x(t) = 0. What is t?
-1, 1/4
Let g(f) = -f - 6. Let t = 10 - 18. Let d be g(t). Factor 2/7*r**d + 0 + 0*r.
2*r**2/7
Let w be 2/2 - (-238)/(-259). Let m = 83/111 - w. Factor 0*p + 2*p**2 - 8/3 - m*p**3.
-2*(p - 2)**2*(p + 1)/3
Let r(m) be the third derivative of -m**7/140 - m**6/40 - m**5/40 - 6*m**2. Factor r(t).
-3*t**2*(t + 1)**2/2
Let g be (-2)/(-7) + 1 + (-5)/(-105). What is l in 5/3*l**5 + g*l**3 - 3*l - 10/3*l**2 + 4*l**4 - 2/3 = 0?
-1, -2/5, 1
Let s(v) be the third derivative of -3*v**2 - 1/300*v**5 + 0*v**3 + 0*v**4 + 0*v + 1/150*v**7 + 0 + 1/300*v**6 + 1/420*v**8. Factor s(n).
n**2*(n + 1)**2*(4*n - 1)/5
Let d(q) = -13*q**2 - 29*q - 8. Let c(p) = -3*p**2 - 7*p - 2. Let u(g) = 9*c(g) - 2*d(g). Let s be u(-4). Let 0 + 1/4*n - 1/4*n**3 + 0*n**s = 0. Calculate n.
-1, 0, 1
Factor -2/7*h**2 + 10/7 + 8/7*h.
-2*(h - 5)*(h + 1)/7
Let k(a) be the first derivative of -a**6/12 + a**5/10 + 12. Suppose k(t) = 0. What is t?
0, 1
Let k(o) be the second derivative of 1/6*o**3 - 2*o + 1/900*o**6 - 1/150*o**5 + 0 + 1/60*o**4 + 0*o**2. Let u(q) be the second derivative of k(q). Factor u(v).
2*(v - 1)**2/5
Let j(i) be the first derivative of -i**4/36 + i**3/18 + i**2/3 - 3*i - 2. Let x(z) be the first derivative of j(z). Let x(k) = 0. What is k?
-1, 2
Let y(z) be the second derivative of -z**6/90 + z**5/30 + z**4/12 - 2*z**3/9 - 2*z**2/3 + 3*z - 3. What is i in y(i) = 0?
-1, 2
Let a(n) be the second derivative of n**6/180 + n**5/90 - n**2 - 2*n. Let p(c) be the first derivative of a(c). Factor p(h).
2*h**2*(h + 1)/3
Let p(k) = -13*k**3 - 16*k**2 - 13*k. Let f(a) = -32*a**3 - 40*a**2 - 32*a. Let r(x) = -5*f(x) + 12*p(x). Determine h so that r(h) = 0.
-1, 0
Let v be (68/(-20))/(1 - 2). Let j = -3 + v. Suppose -6/5*c**2 + 2/5*c**3 - j + 6/5*c = 0. What is c?
1
Determine f so that 23*f**2 - 73*f**2 - 18*f**3 - 1 + 9 - 24*f = 0.
-2, -1, 2/9
Suppose 5*a - 3 = -4*i, -3*i + 5*a = 2*a - 9. Solve -5*o**2 + 3*o**i + 4*o - 4*o + 2*o**3 = 0.
0, 1
Determine w, given that 155*w**2 - 4 + 2 - 153*w**2 = 0.
-1, 1
Let n(v) be the first derivative of 2/5*v - 4/5*v**2 - 6 + 2/25*v**5 + 4/5*v**3 - 2/5*v**4. Let n(b) = 0. What is b?
1
Let y = 1511/3 + -499. Find c, given that 4/3 + y*c**3 - 4/3*c**2 - 14/3*c = 0.
-1, 2/7, 1
What is j in -1/2*j + 0 - j**3 - 3/2*j**2 = 0?
-1, -1/2, 0
Let v(o) be the first derivative of 4*o**5/5 + 8*o**4 + 50. Find j such that v(j) = 0.
-8, 0
Let v(a) = -a**3 + 2*a**2 + 2*a - 2. Suppose 4*t - 6 = t. Let r be v(t). Determine s so that -3*s**2 + r - 3 + 4*s + 0*s = 0.
1/3, 1
Let c be (-74)/(-26) - 2/(-13). Let b(y) be the first derivative of -c - 3/2*y**2 + y + 2/3*y**3. Factor b(h).
(h - 1)*(2*h - 1)
Let b(p) be the first derivative of p**4/6 - p**2 + 4*p/3 - 17. Factor b(t).
2*(t - 1)**2*(t + 2)/3
Let y(n) be the second derivative of -n**5/110 - n**4/22 - n**3/11 - n**2/11 + 5*n. Factor y(q).
-2*(q + 1)**3/11
Let r(m) = m + 1. Let q(f) = -15*f**2 - 65*f - 10. Let k(j) = -q(j) + 15*r(j). Determine g so that k(g) = 0.
-5, -1/3
Let g be ((-6)/(-15))/(14/98). Let -7*z**2 + 4/5 - 9*z**3 + 0*z - g*z**4 = 0. What is z?
-2, -1, -1/2, 2/7
Let w be (-108)/(-16)*(-16)/(-1). Find d, given that -w*d**3 + 7*d + 21*d**2 + 123*d**2 + 27*d**4 + 16 - 87*d = 0.
2/3, 2
Suppose -2*x + 9 = v, -4*v + 17 = 4*x - 11. Factor 8*w**3 - 4*w**2 + 0 - 20/3*w**4 + 2/3*w + 2*w**v.
2*w*(w - 1)**3*(3*w - 1)/3
Let d = -82 - -82. Factor 0*c - 2/3*c**3 + d + 2/3*c**4 + 0*c**2.
2*c**3*(c - 1)/3
Suppose 2*f = -2*x + 18, 2*x = 3*f - 0 - 7. Suppose -x*u + 11 = -1. Factor -2*m - m - 12*m**u + 5*m + 7*m**4 + 3*m**2.
m*(m - 1)**2*(7*m + 2)
Let d(j) be the first derivative of -j**5/80 + j**4/48 + j**3/24 - j**2/8 - 4*j + 1. Let m(x) be the first derivative of d(x). What is a in m(a) = 0?
-1, 1
Let s = 53 + -30. Let c = -45/2 + s. Factor 1/2*z**3 + 0 - z - c*z**2.
z*(z - 2)*(z + 1)/2
Let l(n) = 18*n**4 + 18*n**3 - 3*n**2 - 18*n - 9. Let x(j) = -17*j**4 - 17*j**3 + 4*j**2 + 17*j + 8. Let o(t) = -5*l(t) - 6*x(t). Factor o(h).
3*(h - 1)*(h + 1)*(2*h + 1)**2
Let b = -673/3 + 225. Factor -2/3*u + 0 - 4/3*u**2 - b*u**3.
-2*u*(u + 1)**2/3
Suppose t + 0*t - 154 = 0. Let c = 1388/9 - t. Find g, given that -c*g - 8/9*g**2 - 8/9*g**4 - 2/9*g**5 - 4/3*g**3 + 0 = 0.
-1, 0
Let f(x) be the first derivative of -3*x**4/4 - x**3 + 5. Let f(n) = 0. What is n?
-1, 0
Let q(i) be the third derivative of -i**6/360 + i**5/180 - 5*i**2. Determine t, given that q(t) = 0.
0, 1
Let r = -183 - -185. Let 1/3*p - 2/3 + 1/3*p**r = 0. Calculate p.
-2, 1
Let g(v) be the third derivative of v**5/40 - v**4/16 - v**3/2 + 5*v**2. Factor g(l).
3*(l - 2)*(l + 1)/2
Let z = 4/13 - 2/91. Suppose -c - 3*c = 0. Factor c + 4/7*a**3 + 0*a + z*a**4 + 2/7*a**2.
2*a**2*(a + 1)**2/7
Let p be 1/(-5)*(12 + -22). Let g(y) be the first derivative of 1/3*y**6 + 3 - y**4 + 0*y + 0*y**3 + 2/5*y**5 + 0*y**p. Solve g(z) = 0.
-2, 0, 1
Let k be ((-1)/(15/(-2)))/(72/240). Let d = 2 - 2. Factor 2/9*q**2 + d - k*q.
2*q*(q - 2)/9
Let t(s) be the first derivative of -s**5/40 + s**4/8 - s**3/6 - 4*s + 6. Let q(w) be the first derivative of t(w). Factor q(o).
-o*(o - 2)*(o - 1)/2
Let v(l) be the first derivative of -3*l**5/25 + l**4/4 - 2*l**3/15 + 21. Determine f, given that v(f) = 0.
0, 2/3, 1
Let f(r) be the second derivative of r**6/540 - r**5/90 + r**4/36 - r**3/27 - r**2 + r. Let m(t) be the first derivative of f(t). Factor m(p).
2*(p - 1)**3/9
Let g(u) be the second derivative of u**6/20 + 9*u**5/40 - u**4/8 - 3*u**3/4 - 38*u. Factor g(r).
3*r*(r - 1)*(r + 1)*(r + 3)/2
Let s(v) = 