-6 + 8. Suppose 2*d + 2*j + 2 = -d, -d - s*j - 6 = 0. Factor -7*a**2 + 2*a**2 + 3*a**d - a - a.
-2*a*(a + 1)
Let j(f) = -f**2 - 8*f - 7. Let p be j(-6). Let s = 4 - p. Let y(v) = -v**2. Let k(l) = -19*l**2 + 8*l - 1. Let i(z) = s*k(z) + 3*y(z). Solve i(q) = 0 for q.
1/4
Let q be (-3)/(-16)*(-54)/(-81). Let o(l) be the first derivative of 0*l - 3 - q*l**2 - 3/16*l**4 - 1/4*l**3 - 1/20*l**5. Factor o(a).
-a*(a + 1)**3/4
Let k(h) be the second derivative of -h**6/1080 - h**5/360 + h**3/6 - h. Let u(v) be the second derivative of k(v). Let u(q) = 0. What is q?
-1, 0
Suppose -1 - 5 = -3*n. Factor 5*z**3 + 0*z**4 - 3*z**3 - 2*z - n*z**4 + 0*z**2 + 2*z**2.
-2*z*(z - 1)**2*(z + 1)
Let g(d) be the first derivative of -d**6/15 - d**5/10 + d**4/2 + d**3/3 - 2*d**2 - d + 4. Let s(a) be the first derivative of g(a). Factor s(o).
-2*(o - 1)**2*(o + 1)*(o + 2)
Suppose 3*u = -0*u + 21. Solve -147*q**3 + 48*q**5 - 7*q + 6*q + 3*q - 6 + u*q + 96*q**2 = 0.
-2, -1/4, 1/4, 1
Determine n so that 1/4*n**3 + 1/4*n**4 - 1/4*n**2 - 1/4*n + 0 = 0.
-1, 0, 1
Factor 1/2*x**2 + 0 - 1/2*x**3 + 0*x.
-x**2*(x - 1)/2
Suppose w = 4*w - 6. Factor -4 + 4*c**2 - 3*c**4 + c**4 + w.
-2*(c - 1)**2*(c + 1)**2
Let o(b) be the first derivative of -b**5/20 - b**4/8 + b**3 + 5*b**2/2 + 5. Let a(p) be the second derivative of o(p). Suppose a(n) = 0. What is n?
-2, 1
Let l(o) be the first derivative of 9/2*o + 1/6*o**3 + 3/2*o**2 + 6. Factor l(d).
(d + 3)**2/2
Factor -25 - 4*c - c**3 + 25 + 4*c**2.
-c*(c - 2)**2
Let x be 3/(5/((-20)/(-6))). Factor -7*r - r**2 - r**x + r.
-2*r*(r + 3)
Let k(r) = 6*r**2 - 3 + 0 - 9*r + r**2. Let f(o) = 8*o**2 - 10*o - 4. Let j(d) = -d**2 + 3*d - 2. Let g be j(4). Let s(q) = g*k(q) + 5*f(q). Factor s(b).
-2*(b - 1)**2
Let p = -17 + 11. Let m(f) = -f**4 + f**2 + f + 1. Let a(y) = -3*y**2 - 3*y**2 + 7*y**4 - 8*y + 3*y - y - 6 + y**3. Let u(n) = p*m(n) - a(n). Factor u(l).
-l**3*(l + 1)
Find c such that -3*c**5 - 3*c**4 + 3*c**3 + 8*c**2 - 9*c**2 + 4*c**5 = 0.
0, 1
Suppose -6*w - 54 = -66. Factor 0*a + 0 - 3/5*a**w.
-3*a**2/5
Suppose -2*y + 4 = -0. Let a(j) be the third derivative of -1/60*j**5 + j**y + 0*j**6 + 0 + 0*j**4 + 0*j + 0*j**3 + 1/210*j**7. Factor a(l).
l**2*(l - 1)*(l + 1)
Let l = 5 + -1. Factor 3*r**3 - 3*r**5 + 0*r**5 + 3*r**2 - 4*r**l + r**4.
-3*r**2*(r - 1)*(r + 1)**2
Let o be (-21)/(-28)*(-5888)/10. Let w = -438 - o. Factor -8/5 - w*y**2 + 24/5*y.
-2*(3*y - 2)**2/5
Suppose z + 8 = -4*u - 4, 5*u + 20 = 0. Solve 0*p + 4/7*p**z + 0 + 0*p**2 + 4/7*p**3 = 0.
-1, 0
Let w = -6381/13 + 491. Solve 0 - 4/13*a + w*a**2 = 0 for a.
0, 2
Let s = 24 - 22. Let x(g) be the first derivative of 1/8*g**s + 0*g + 2 + 1/16*g**4 - 1/6*g**3. Let x(f) = 0. What is f?
0, 1
Let a(z) = 6*z**5 + 12*z**4 - 12*z**2 - 15*z + 9. Let h(i) = 3*i**5 + 6*i**4 - 6*i**2 - 7*i + 4. Let v(k) = 4*a(k) - 9*h(k). Factor v(y).
-3*y*(y - 1)*(y + 1)**3
Let x(d) be the second derivative of 1/24*d**4 - 3/8*d**2 + 7*d + 1/24*d**3 + 0. Factor x(g).
(g - 1)*(2*g + 3)/4
Let r be 24/4 - 2/1. Let b(q) be the first derivative of 1 - 1/10*q**5 + 0*q**2 + 0*q**3 - 1/8*q**r + 0*q. Factor b(k).
-k**3*(k + 1)/2
Let 1/3*c**5 + 0*c**3 - 2/3*c**4 - 1/3*c + 2/3*c**2 + 0 = 0. Calculate c.
-1, 0, 1
Let i = 22 - 87/4. Factor 0 - i*v**4 - v**2 + 0*v + v**3.
-v**2*(v - 2)**2/4
Let g(z) be the third derivative of z**6/20 - z**5/30 - 2*z**4/3 - 4*z**3/3 - 6*z**2. Factor g(w).
2*(w - 2)*(w + 1)*(3*w + 2)
Let d = -14 + 16. Find i such that 8*i + 13*i**3 + 12*i**d - 7*i**3 - 36*i**4 - 28*i**5 + 14*i**3 + 24*i**2 = 0.
-1, -2/7, 0, 1
Let w(z) be the first derivative of -z**4 + 16*z**3/3 - 10*z**2 + 8*z + 1. Factor w(q).
-4*(q - 2)*(q - 1)**2
Let h be (-1)/(-1) + -2 + 1. Solve 2/9*k**3 + h + 2/9*k + 4/9*k**2 = 0 for k.
-1, 0
Let -1/4*i**5 + 0*i**2 - 1/2*i**4 + 0 - 1/4*i**3 + 0*i = 0. What is i?
-1, 0
Suppose a + 26 = 4*c, -4*c + 4*a = -a - 34. Suppose -c*x = -x. What is g in 4 + g + x*g**2 + 3*g + g**2 = 0?
-2
Suppose -z - 2*z = -5*n + 17, 3*n - 12 = 2*z. Let l be (-20)/(-90) - 25/z. Solve -2*q - 2*q**2 - 2/3 - 2/3*q**l = 0.
-1
Let q(z) = 5*z**3 - 3*z**2 + z + 3. Let x(a) be the first derivative of -a**4 + 2*a**3/3 - 2*a + 1. Let d(p) = 2*q(p) + 3*x(p). Find c, given that d(c) = 0.
-1, 0, 1
Let c(n) be the second derivative of -n**4/48 + 5*n**3/12 - 25*n**2/8 + 7*n. Factor c(q).
-(q - 5)**2/4
Let u(f) be the third derivative of -f**7/840 + f**6/360 + f**5/120 - f**4/24 + f**3/2 - 4*f**2. Let g(b) be the first derivative of u(b). Factor g(x).
-(x - 1)**2*(x + 1)
Let y(s) be the third derivative of 2/45*s**6 + 0 + 0*s - 1/45*s**5 + 0*s**3 - 1/126*s**7 + 0*s**4 - 2*s**2 - 1/144*s**8. What is a in y(a) = 0?
-2, 0, 2/7, 1
Let x(s) = 3*s**2 + 2. Let m(q) = -2 - q**2 - 1 + 2. Let g(z) = -2*m(z) - x(z). Let v(a) = -a**3 + a**2. Let b(f) = -g(f) - v(f). Find n, given that b(n) = 0.
0
Factor 8 + 2*y**3 + 16*y + 8*y**2 + 0*y**2 + 4*y**2 - 2*y**2.
2*(y + 1)*(y + 2)**2
Factor -15*s**2 + 287*s**3 + 2 - 4*s - 268*s**3 - 7*s**4 + 5*s.
-(s - 1)**3*(7*s + 2)
Factor 10 - 4*q + 2/5*q**2.
2*(q - 5)**2/5
Let d(v) = -v**2 - 4*v + 5. Let h be d(-4). Let z = -100 + 102. Factor 3*l**z + 0 - 9*l + h + 1.
3*(l - 2)*(l - 1)
Solve 0 + 3*y + 3/2*y**4 + 0*y**3 - 9/2*y**2 = 0.
-2, 0, 1
Let b(d) be the second derivative of -2/21*d**3 - d + 0 - 1/14*d**4 - 1/70*d**5 + 0*d**2. Let b(s) = 0. What is s?
-2, -1, 0
Let z(j) be the third derivative of j**7/1260 + j**6/180 - j**4/24 + j**2. Let w(c) be the second derivative of z(c). Factor w(q).
2*q*(q + 2)
Let r(d) = 4*d**5 - 6*d**4 + 2*d + 2. Let w(a) = 17*a**5 - 25*a**4 - a**3 + 9*a + 9. Let m(j) = -9*r(j) + 2*w(j). Let m(b) = 0. What is b?
0, 1
Find y, given that -20/3*y**3 - 8/3*y**4 + 4/3*y**5 + 16/3*y - 32/3 + 40/3*y**2 = 0.
-2, -1, 1, 2
Let l(v) be the second derivative of -v**5/40 - v**4/24 - 2*v. Suppose l(t) = 0. Calculate t.
-1, 0
Suppose 0 = 2*u + u + 4*c + 2, 0 = -u - 3*c - 4. Let a(p) be the second derivative of -2/3*p**3 - 3*p + 1/6*p**4 + p**u + 0. Find z such that a(z) = 0.
1
Let s be (6/28)/(30/7). Let t(h) be the first derivative of s*h**5 + h - 1/2*h**2 + 1/8*h**4 - 1/4*h**3 + 1. Solve t(i) = 0 for i.
-2, 1
Let p(q) = 2*q**2 - 2*q**2 + 11*q - q**2 - 10. Let b(g) = -2*g + 2. Let z(c) = 11*b(c) + 2*p(c). Factor z(o).
-2*(o - 1)*(o + 1)
Let l(j) be the third derivative of -j**5/30 + j**3/3 - 8*j**2. Solve l(y) = 0.
-1, 1
Let w(q) be the third derivative of 0 + 4/27*q**3 - 3*q**2 + 0*q + 7/540*q**6 - 1/30*q**5 - 1/9*q**4. Factor w(l).
2*(l - 2)*(l + 1)*(7*l - 2)/9
Let f(z) = -5*z**3 + 124*z**2 - 964*z + 2560. Let k(d) = 15*d**3 - 371*d**2 + 2891*d - 7680. Let a(m) = 11*f(m) + 4*k(m). Suppose a(w) = 0. What is w?
8
Suppose y + 3*g = 17, -4*y - g = -6 - 7. Factor 2/3*v**y + 0 - 4/9*v.
2*v*(3*v - 2)/9
Let t(c) be the first derivative of 5 + c - 1/4*c**4 + 1/2*c**2 - 1/3*c**3. Factor t(x).
-(x - 1)*(x + 1)**2
Let i(q) be the second derivative of q**7/21 - 2*q**5/5 - 21*q. Factor i(v).
2*v**3*(v - 2)*(v + 2)
Let d(l) be the third derivative of 0*l**3 + 1/72*l**4 + 0*l + 1/180*l**5 + 0 + 5*l**2. Determine o so that d(o) = 0.
-1, 0
Let j be (5 + 2)*15/35. Factor -1/2*a**j + 0*a + 0 - a**2.
-a**2*(a + 2)/2
Let k(c) = -3*c**4 + 15*c**2 + 12*c - 18. Let h(p) = 3*p**4 - p**3 - 16*p**2 - 12*p + 19. Let f(j) = 6*h(j) + 7*k(j). Solve f(q) = 0 for q.
-2, 1
Let m(g) be the second derivative of -g**6/60 + g**5/120 + g**2 - 3*g. Let w(d) be the first derivative of m(d). Factor w(x).
-x**2*(4*x - 1)/2
Let q(a) = -a**3 + 2. Let f(i) = -2*i**3 + 7. Let n(x) = -2*f(x) + 7*q(x). Factor n(w).
-3*w**3
Let h(i) be the third derivative of 0*i**4 - 4*i**2 + 0*i + 1/10*i**5 - 1/40*i**6 + 0*i**3 + 0. Solve h(o) = 0.
0, 2
Let u(c) = -7*c**5 + 18*c**4 - 39*c**3 + 32*c**2 - 12*c. Let a(b) = -6*b**5 + 18*b**4 - 39*b**3 + 33*b**2 - 12*b. Let z(n) = -4*a(n) + 3*u(n). Factor z(w).
3*w*(w - 2)**2*(w - 1)**2
Let b be (3 + -1)*24/16. Let r(g) be the second derivative of 0*g**2 + 1/24*g**4 - 1/60*g**6 - 1/40*g**5 + b*g + 0*g**3 + 0 + 1/84*g**7. Factor r(a).
a**2*(a - 1)**2*(a + 1)/2
Solve 2/5*o**3 + 0*o + 4/5*o**2 + 0 = 0.
-2, 0
Let l(w) = -w**4 - w**2 - 3*w + 2. Let h(v) = 2*v**4 + v**2 + 5*v - 3. Let b(q) = -3*h(q) - 5*l(q). Factor b(y).
-(y - 1)**2*(y + 1)**2
Suppose -2 = 2*n - 8. Solve 7 - 5 - q**n + q + 2*q = 0.
-1, 2
Let t(z) b