*4/8 + 3*s**3/8 - s**2. Suppose y(d) = 0. Calculate d.
1, 3
Let d be (0/(-13))/(1 - 0). Solve -4/7*p - 10/7*p**2 - 6/7*p**3 + d = 0.
-1, -2/3, 0
Let n(c) be the first derivative of -5*c**4/4 + 40*c**3/3 - 40*c**2 + 10. Factor n(a).
-5*a*(a - 4)**2
Let w(l) be the first derivative of l**3/9 - 4*l**2/3 - 12. Let w(q) = 0. Calculate q.
0, 8
Let f(j) be the third derivative of -j**8/504 + j**6/60 + j**5/45 + 37*j**2. Factor f(d).
-2*d**2*(d - 2)*(d + 1)**2/3
Let q be (20/(-75))/(6/5). Let b = 5/18 - q. Determine v, given that -3/4*v + 0*v**2 + 1/4*v**3 + b = 0.
-2, 1
Let w(y) be the first derivative of -y**5/20 - y**4/8 - y**3/12 + 5. Solve w(s) = 0.
-1, 0
Determine k so that -4/5*k + 2*k**4 + 0 - 18/5*k**3 - 2/5*k**5 + 14/5*k**2 = 0.
0, 1, 2
Let j(f) be the third derivative of f**8/3840 + f**7/1120 + f**6/1440 + f**4/12 - f**2. Let p(t) be the second derivative of j(t). Factor p(r).
r*(r + 1)*(7*r + 2)/4
Let u(p) be the second derivative of 0 + 1/12*p**4 + 0*p**3 + p + 1/10*p**5 + 0*p**2 + 1/30*p**6. Suppose u(b) = 0. Calculate b.
-1, 0
Let o be 14/(-4)*(-36)/63. Determine y, given that 2*y**5 - 1 + 2*y**3 + 2*y**3 + 3 - 6*y**4 - 6*y + 4*y**o = 0.
-1, 1
Let l(h) be the second derivative of -5/3*h**3 - 1/15*h**6 + 2*h**2 + 1/2*h**4 - h + 0 + 1/10*h**5. Factor l(i).
-2*(i - 1)**3*(i + 2)
Let k(o) = -3 - 2*o - o**2 - 2 + 9*o + 1. Let j be k(6). Solve -b**j + 4*b + 1 - 2*b - 2 + 0 = 0 for b.
1
Let k be (26/(-6))/((-5)/(-120)). Let g = k - -940/9. Factor -2/9 - 2/9*n + g*n**2.
2*(n - 1)*(2*n + 1)/9
Let j(s) be the second derivative of -s**7/231 - 2*s**6/55 - 6*s**5/55 - 5*s**4/33 - s**3/11 + 37*s. Factor j(z).
-2*z*(z + 1)**3*(z + 3)/11
Suppose -12*a = -33*a + 42. Factor -3/5*z**a + 18/5*z - 27/5.
-3*(z - 3)**2/5
Let l(h) = 0*h**2 + h**2 - 2 + 0*h**2 + 3*h - 2. Let n(z) = 2*z**2 + 3*z - 5. Let i = 7 - 5. Let u(w) = i*n(w) - 3*l(w). Factor u(s).
(s - 2)*(s - 1)
Let x(q) be the second derivative of -19*q**4/3 + 14*q**3 - 4*q**2 + 2*q. Determine s so that x(s) = 0.
2/19, 1
Factor -6*s**2 - 2*s**2 + 3 + 6*s**2 - 1.
-2*(s - 1)*(s + 1)
Let f(u) = -21*u**2 - 24*u - 4. Let a(k) = 22*k**2 + 23*k + 4. Suppose 9*y + 16 = 5*y. Let x(o) = y*a(o) - 3*f(o). Solve x(c) = 0 for c.
-2/5
Factor -15*n**2 - 2 + 12*n**2 + 13*n**4 - 7*n**3 + 7*n - 8*n**4.
(n - 1)**2*(n + 1)*(5*n - 2)
Let n(l) be the second derivative of -1/9*l**3 + 0 - 1/3*l**2 - 5*l - 1/72*l**4. Find b, given that n(b) = 0.
-2
Suppose -3*u + 127 = -5*z, -5*u + 3*z = -149 - 68. Let f be (-35)/(-11) + (-8)/u. Solve 0 + 0*k - 2/3*k**2 + 2/3*k**f = 0 for k.
0, 1
What is j in -3*j**4 + 7*j**2 - 2 - 6 + 0*j**3 + j**3 - j**5 + 4 = 0?
-2, -1, 1
Let o(h) = h**2 - 2*h + 1. Let a = -2 + -4. Let z(x) = -2*x**2 + 4*x - 2. Let q(r) = a*z(r) - 10*o(r). What is f in q(f) = 0?
1
Let g(m) be the first derivative of -2*m**6/3 - 56*m**5/5 - 33*m**4 + 448*m**3/3 - 128*m**2 - 30. Find t such that g(t) = 0.
-8, 0, 1
Let z be (-8)/(-3) - 12/18. Let h(v) = v. Let c be h(z). Let -3*j + 0*j - 12*j**c - 3 + 42*j**2 - 24*j**3 = 0. Calculate j.
-1/4, 1/2, 1
Let w(a) be the second derivative of 4*a - 1/9*a**3 + 0 + 1/18*a**4 + 0*a**2. Let w(k) = 0. What is k?
0, 1
Let f(i) = i**3 + 11*i**2 + 2*i + 24. Let r be f(-11). Factor 18/5*y - 2*y**3 + 0 - 2/5*y**4 - 6/5*y**r.
-2*y*(y - 1)*(y + 3)**2/5
Let f(b) be the first derivative of -2/3*b - 2/15*b**5 + 4 + 4/3*b**2 + 2/3*b**4 - 4/3*b**3. Factor f(o).
-2*(o - 1)**4/3
Let t(p) be the third derivative of 0*p - 1/27*p**3 - 1/54*p**4 - p**2 - 1/270*p**5 + 0. Factor t(s).
-2*(s + 1)**2/9
Let f be (2 + 3)/(-30)*-2. Let h(n) be the second derivative of -1/10*n**5 + 0*n**2 + 0 - n + f*n**3 + 0*n**4. Factor h(k).
-2*k*(k - 1)*(k + 1)
Let n(t) be the second derivative of -t**7/7560 - 5*t**4/12 - 4*t. Let z(g) be the third derivative of n(g). Suppose z(c) = 0. What is c?
0
Factor -1/3*i**5 + 0*i + 0 + 1/3*i**3 - 1/3*i**2 + 1/3*i**4.
-i**2*(i - 1)**2*(i + 1)/3
Suppose -8 = -3*n - 2. Suppose -n*u = -u. Let -1/4*j**5 + u*j**4 + 0 - 1/4*j + 0*j**2 + 1/2*j**3 = 0. Calculate j.
-1, 0, 1
Let w(b) = 3*b**2 + 18*b + 15. Let k(l) = -65*l**2 - 395*l - 330. Let o(c) = 2*k(c) + 45*w(c). Determine r, given that o(r) = 0.
-3, -1
Factor -8*b**2 + 0 - 5*b**2 + b**2 - 2 - 14*b.
-2*(b + 1)*(6*b + 1)
Let m be (2/6)/(1/12). Let z(r) be the first derivative of -3 - 1/2*r**2 + 0*r + 1/6*r**3 + 5/8*r**m + 1/5*r**5. Factor z(f).
f*(f + 1)*(f + 2)*(2*f - 1)/2
Suppose 0 = s - 6*s - 2*k + 6, -4*k = -5*s + 18. Let a = 3 + s. Suppose -8/11*l**4 + 0 - 8/11*l**2 - 2/11*l - 12/11*l**3 - 2/11*l**a = 0. Calculate l.
-1, 0
Solve 18*p**4 - 3*p**4 - 6*p**5 - 12*p - 8*p**2 - 9*p**2 - 7*p**2 + 9*p**3 = 0.
-1, -1/2, 0, 2
Let k = -13/21 - -9/7. Let u = k + -5/12. Factor -u*a**3 + 1/2*a**2 + 0 - 1/4*a.
-a*(a - 1)**2/4
Let x(b) = b**4 - 17*b**3 + 28*b**2 - 9*b. Let s(j) = 2*j**4 - 18*j**3 + 28*j**2 - 10*j. Let g(n) = 3*s(n) - 2*x(n). Factor g(d).
4*d*(d - 3)*(d - 1)**2
Let a = 4 + -1. Suppose -2*z + 5*z + 5*q - 4 = 0, -17 = -4*z + 5*q. Suppose -5*v**2 - a*v - z + 12*v**2 - v**2 = 0. What is v?
-1/2, 1
Let j(q) be the third derivative of 0*q**3 - 23/840*q**6 + 0 - 1/105*q**7 + 0*q - q**2 - 1/784*q**8 - 4/105*q**5 - 1/42*q**4. Solve j(w) = 0.
-2, -1, -2/3, 0
Factor 7 - 20*k + 25*k**3 - 4 - 5*k**2 - 5*k**3 + 2.
5*(k - 1)*(k + 1)*(4*k - 1)
Let s(f) = f**3 + f. Let c(h) = 6*h**3 - 9*h**2 + 12*h - 3. Suppose 10 - 1 = -3*k. Let w(m) = k*s(m) + c(m). Determine n, given that w(n) = 0.
1
Let k(r) be the first derivative of r**3 + 3*r**2 + 3*r - 5. Suppose k(j) = 0. What is j?
-1
Let s(y) be the first derivative of 2*y**3/9 + 4*y**2/3 + 8*y/3 - 6. Let s(q) = 0. What is q?
-2
Let x(k) = -13*k**2 - 18*k - 9. Let j = -11 - -16. Let v(f) = -40*f**2 - 54*f - 28. Let m(o) = j*v(o) - 16*x(o). Solve m(z) = 0.
-2, -1/4
Let p(y) = -10*y**4 - 2*y**2 + 11*y - 10. Let i = 7 + -5. Let l(n) = n**4 - n + 1. Let j(u) = i*p(u) + 22*l(u). Factor j(q).
2*(q - 1)**2*(q + 1)**2
Let u(c) be the second derivative of -3*c + 0*c**2 - 1/30*c**6 + 0*c**3 + 0 - 1/20*c**5 + 0*c**4. Determine a so that u(a) = 0.
-1, 0
Let t(w) be the second derivative of 3*w**5/35 + w**4/28 - 2*w. Factor t(f).
3*f**2*(4*f + 1)/7
Let o(q) be the second derivative of -q**7/3360 + 7*q**3/6 - 3*q. Let z(v) be the second derivative of o(v). Suppose z(j) = 0. What is j?
0
Let a(l) be the first derivative of -2/27*l**3 + 3*l + 0*l**2 - 1/54*l**4 + 3. Let d(k) be the first derivative of a(k). Factor d(y).
-2*y*(y + 2)/9
Suppose -2*k + 6*k = 4. Let s be -2 - (-2 + k/(-2)). Factor p**2 + 0 - s*p**3 - 1/2*p.
-p*(p - 1)**2/2
Let c(v) be the third derivative of 0*v + 0 + 5*v**2 + 0*v**3 - 1/12*v**4 + 1/90*v**5. Factor c(k).
2*k*(k - 3)/3
Suppose -5 = -t - 1. Let u(d) = -d**2 + 13*d - 10. Let y be u(12). Determine b so that 2/3 + 0*b**y + 4/3*b - 2/3*b**t - 4/3*b**3 = 0.
-1, 1
Factor 11*r + 13*r**2 - 6*r**3 + 3*r**5 - 6*r**4 - 3*r**3 - r**2 + r.
3*r*(r - 2)**2*(r + 1)**2
Factor -2*w**2 - 2*w**2 + 3*w**4 + 7*w - 6*w**3 - 7*w**4 - 8*w - w**5.
-w*(w + 1)**4
Let c(w) be the second derivative of -2*w**4/3 + 2*w**3/3 - w. Determine x, given that c(x) = 0.
0, 1/2
Let i(m) = 3*m**2 + 11*m + 11. Let n(g) = -g**2 - 4*g - 4. Let s = -3 + 7. Let o(v) = s*i(v) + 11*n(v). Factor o(b).
b**2
Suppose -3*b + 6*b = 0. Let k(f) be the second derivative of 1/18*f**4 + 0 + 0*f**3 + b*f**2 + 1/30*f**5 - 2*f. Determine c so that k(c) = 0.
-1, 0
Let y(x) = -284*x**4 - 736*x**3 - 268*x**2 - 8*x - 16. Let o(t) = 95*t**4 + 245*t**3 + 89*t**2 + 3*t + 5. Let i(j) = -16*o(j) - 5*y(j). Factor i(w).
-4*w*(w + 2)*(5*w + 1)**2
Let y = -18/17 - -124/85. Suppose 2/5*h**2 + y - 4/5*h = 0. What is h?
1
Suppose -2*h = -4*p - 20, -4*h + 2*p + 10 = -0*h. Let o = h - -3. Let 2*n**3 - o*n**3 - 3*n + 2*n**2 + 2*n = 0. Calculate n.
0, 1
Let v(y) be the first derivative of 2*y**3/33 + 2*y**2/11 - 6*y/11 - 12. Find g, given that v(g) = 0.
-3, 1
Let m(r) be the third derivative of r**5/60 + 5*r**4/12 + 25*r**3/6 + 6*r**2. Suppose m(v) = 0. Calculate v.
-5
Let l(a) = a - 2. Let r be l(8). Let p = 2 - 1. Factor 6*j**5 - 4*j**3 + 4*j**4 + j - 3*j**5 + 1 - r*j**2 + p.
(j - 1)*(j + 1)**3*(3*j - 2)
Let n(m) = m**2 + 3*m + 4. Let q be n(-5). Find j, given that -3 + 0*j + 2*j**4 + q*j + 10*j**3 + 5 + 18*j**2 + 2 = 0.
-2, -1
Let p be (3/(-6))/(2 - (-35)/(-15)). Factor 