 - 4*q**4 + j*q**4 - 2*q**2 - 2*q**3 = 0. Calculate q.
-1, 0, 1
Let l be 2/8*(4 + -4). Suppose -2 = 5*n + 2*j, 5*n + l = 3*j + 3. Determine s so that 4/7*s - 2/7*s**2 + n = 0.
0, 2
Let i(h) = -h + 9. Let m be i(7). Let k = -2 - -2. Factor -7*c**2 + 12 + k - 12*c - m*c**2.
-3*(c + 2)*(3*c - 2)
Let v(r) = -69*r**3 + 78*r**2 - 48*r - 42. Let d(g) = 10*g**3 - 11*g**2 + 7*g + 6. Let w(q) = -27*d(q) - 4*v(q). Find z such that w(z) = 0.
-1/2, 1, 2
Let z = 1/142 + 273/1562. Let 4/11*s - 2/11*s**3 + 0 - z*s**2 = 0. Calculate s.
-2, 0, 1
Solve 3*c - 36*c**4 + 39*c**3 + 10 - 10 - 18*c**2 + 12*c**5 = 0 for c.
0, 1/2, 1
Let j(p) be the first derivative of -2/9*p**2 + 2/27*p**3 + 0*p + 2/9*p**4 + 2 - 2/15*p**5. Factor j(v).
-2*v*(v - 1)**2*(3*v + 2)/9
Let w(l) be the third derivative of l**9/60480 - l**8/20160 - l**7/1008 - l**6/240 - l**5/12 + 11*l**2. Let a(u) be the third derivative of w(u). Factor a(p).
(p - 3)*(p + 1)**2
Let a(w) = -3*w + 4. Let o(f) = -5*f + 7. Let k(c) = 7*a(c) - 4*o(c). Let v(z) = 3*z**4 + 3*z**3 - 3*z**2 - 21*z. Let g(d) = -18*k(d) + v(d). Factor g(m).
3*m*(m - 1)*(m + 1)**2
Let y(q) be the third derivative of 0*q + 0 + 0*q**3 - 1/48*q**4 - 1/120*q**5 + q**2. Determine k so that y(k) = 0.
-1, 0
Let v(x) = -11*x**5 - 14*x**4 - 10*x**3 + 3*x**2 + 5*x + 5. Let c(u) = -17*u**5 - 21*u**4 - 15*u**3 + 5*u**2 + 8*u + 8. Let g(t) = 5*c(t) - 8*v(t). Factor g(f).
f**2*(f + 1)**2*(3*f + 1)
Let j(n) = 2*n - 9. Let k be j(6). Let x = 1/22 - -41/66. Solve -1/3*q**2 - x*q**k + 5/3*q - 2/3 = 0 for q.
-2, 1/2, 1
Suppose 4*n - 6*n = 3*g - 7, -4*n - 10 = -2*g. Let q(v) be the first derivative of -3/5*v**5 - 3*v + 1 - 6*v**g + 6*v**2 + 3*v**4. Solve q(f) = 0 for f.
1
Let r(l) be the first derivative of -l**5/240 - l**4/48 - l**3/24 + l**2/2 - 1. Let y(o) be the second derivative of r(o). Find p such that y(p) = 0.
-1
Suppose -4*k + 2*k + 7 = -p, -3*k = -2*p - 12. Determine z, given that 3 + 2*z**2 - 8*z**2 + 2*z**k + 2*z + 3*z**2 = 0.
-1, 3
Let j(y) be the first derivative of -y**6/15 + 12*y**5/25 - 13*y**4/10 + 8*y**3/5 - 4*y**2/5 + 3. Solve j(t) = 0.
0, 1, 2
Let x = 19 + -19. Let p(s) be the second derivative of x + 1/9*s**3 - 1/9*s**4 + 0*s**2 - 2*s + 1/30*s**5. Let p(g) = 0. What is g?
0, 1
Let c(h) = -h + 2. Let a be c(2). Let x be 1/((-2)/(-4) - a). Factor -3*v + 3*v - 2*v**2 + x*v.
-2*v*(v - 1)
Let y(j) be the second derivative of j**5/50 + j**4/30 - 2*j**3/15 - 4*j + 3. Factor y(p).
2*p*(p - 1)*(p + 2)/5
Solve -26/9*f**2 - 26/9*f - 2/3 - 2/3*f**3 = 0 for f.
-3, -1, -1/3
Let y(j) = 5*j**3 - 4*j**2 - 12*j + 4. Let d(u) = 5*u**3 - 3*u**2 - 14*u + 3. Let f(l) = -4*d(l) + 3*y(l). Solve f(t) = 0 for t.
-2, 0, 2
Let p(o) = 35*o + 463. Let r be p(-13). Suppose -20/3*s**3 + 16/3*s - 4/3*s**4 - r*s**2 + 32/3 = 0. What is s?
-2, 1
Let l(s) = -s**2 + s + 7. Let q be l(0). Let n = q - 5. Factor -4*u + u**5 + 3*u**4 + 2*u**3 + 6*u**n - 9*u**4 + u**5.
2*u*(u - 2)*(u - 1)**2*(u + 1)
Suppose 6*n - 3*n = -27. Let r(d) = d + 4. Let k be r(-9). Let a(b) = 6*b**2 - 6*b - 21. Let v(w) = -3*w**2 + 3*w + 11. Let y(x) = k*a(x) + n*v(x). Factor y(g).
-3*(g - 2)*(g + 1)
Let i(m) = -m**2 - 13*m + 14. Let x = 35 + -49. Let z be i(x). Suppose -2/5*k**2 + z + 0*k - 6/5*k**4 + 2/5*k**5 + 6/5*k**3 = 0. What is k?
0, 1
Suppose -4*c + 3*t + 6 = 0, 4*c - 3*t + 18 = 8*c. Let -1/3*j**2 + j**c - 2/3*j + 0 = 0. Calculate j.
-2/3, 0, 1
Solve -3*o**2 + 0*o**3 + 2*o + 0*o - o**2 + 2*o**3 = 0 for o.
0, 1
Let z(i) be the first derivative of -i**9/3024 + i**7/840 - 5*i**3/3 + 4. Let x(y) be the third derivative of z(y). Factor x(t).
-t**3*(t - 1)*(t + 1)
Suppose -5*f + 24 = 2*p, 5*p - 6*p + 4*f + 12 = 0. Suppose g + 4*g - 1 = -2*a, 4*g - 4*a = p. Factor -g + 2*b - b - b**2 + b.
-(b - 1)**2
Let b(j) be the second derivative of -j**7/42 - j**6/15 + j**4/6 + j**3/6 + j. Suppose b(x) = 0. Calculate x.
-1, 0, 1
Factor -45/2*h + 5/6*h**4 + 0 + 45/2*h**2 - 15/2*h**3.
5*h*(h - 3)**3/6
Let u(w) = -2*w - 28. Let j be u(-15). Factor b**3 + 0 + 1/3*b**4 + b**j + 1/3*b.
b*(b + 1)**3/3
Let s be (-74)/(-14) + (-2)/7. Find k such that -3*k + 2*k**s + 26*k**3 + 0*k**2 + 8*k**4 + 11*k - 20*k**4 - 24*k**2 = 0.
0, 1, 2
Let m(u) = -2*u**2 + 9*u - 1. Let x(v) = 2*v**2 - 10*v. Suppose -10 - 5 = -5*p. Let y(a) = p*x(a) + 4*m(a). Determine c, given that y(c) = 0.
1, 2
Suppose -23 = c + 5*j, 2*j - j - 1 = -3*c. Let z(w) be the first derivative of 0*w**3 - 1 + 0*w - 4/27*w**6 + 2/15*w**5 + 1/18*w**4 + 0*w**c. Factor z(b).
-2*b**3*(b - 1)*(4*b + 1)/9
Let b be 12 + -13 + (1 - -5). Factor -4*j**4 - 3*j**5 + 3*j**4 + 2*j**b.
-j**4*(j + 1)
Let q(h) be the third derivative of -h**6/420 + h**5/105 - h**4/84 - 12*h**2. Determine z so that q(z) = 0.
0, 1
Suppose -4*q**4 + 0*q**5 + q**3 + 2*q**5 + 2*q**4 + 2*q**2 - 3*q**3 = 0. Calculate q.
-1, 0, 1
Let f(z) be the first derivative of -z**4/28 + 3*z**2/14 - 2*z/7 - 6. Suppose f(v) = 0. What is v?
-2, 1
Let k(r) be the first derivative of 6*r**5/5 + r**4 - 7*r**3/4 + 3*r**2/4 + 3*r + 1. Let i(w) be the first derivative of k(w). What is c in i(c) = 0?
-1, 1/4
Let b(q) = -3*q**3 + 10*q**2 - 19*q + 8. Let n(j) = -16*j**3 + 49*j**2 - 94*j + 39. Let s(d) = 22*b(d) - 4*n(d). Determine t, given that s(t) = 0.
1, 10
Let r(f) be the first derivative of -f**8/336 + 2*f**7/105 - f**6/24 + f**5/30 + 5*f**2/2 + 5. Let k(q) be the second derivative of r(q). Factor k(v).
-v**2*(v - 2)*(v - 1)**2
Let j(s) be the third derivative of s**5/72 - 5*s**3/9 + 10*s**2. Determine u, given that j(u) = 0.
-2, 2
Let p(a) be the third derivative of a**8/1008 - a**7/630 - a**6/60 + a**5/45 + a**4/9 + 5*a**2. Find d such that p(d) = 0.
-2, -1, 0, 2
Let j(v) be the second derivative of -v**5/390 - v**4/156 - 3*v**2 + 2*v. Let x(t) be the first derivative of j(t). Factor x(m).
-2*m*(m + 1)/13
Let v be 2/1*(-5)/(-2). Suppose -l - v*d - 3 = 0, l + 5*d + 2 = d. Factor t**3 + 5*t + t**3 + 2 + 2*t**2 + 4*t**l + t.
2*(t + 1)**3
Suppose -2*c - 2*a = 0, 12 + 6 = c - 5*a. What is n in 7*n - n**3 - c*n - 3*n - 1 + n**2 = 0?
-1, 1
Let k(r) = r**5 - r**4 + r**3 + r + 1. Let o(p) = 6*p**5 - 16*p**2 - 10*p. Let a(m) = -4*k(m) + o(m). Factor a(i).
2*(i - 2)*(i + 1)**4
Let o = 3 + -6. Let u(w) = -w**2 - 4*w + 1. Let k be u(o). Find s such that 2*s + 3 + 6*s**3 + 2*s**k - 3 + 6*s**2 = 0.
-1, 0
Let a be (-8)/(-10)*5/9. Find h, given that -10/3*h**2 + 0 + 16/3*h**3 + a*h + 32/9*h**4 = 0.
-2, 0, 1/4
Suppose 20 = s + 4*s. Factor -s*i**2 + i + 14*i**3 - i + 4 - 14*i.
2*(i - 1)*(i + 1)*(7*i - 2)
Let i = -719/20 + 147/4. Factor 0 + i*y**3 - 2*y**2 - 6/5*y.
2*y*(y - 3)*(2*y + 1)/5
Let c(y) = 7*y**2 + y + 1. Let s(z) = -9*z**2 - z - 2. Let r(a) = 4*c(a) + 3*s(a). Factor r(h).
(h - 1)*(h + 2)
Let x(p) be the first derivative of 2*p**3/15 - p**2/5 - 4*p/5 + 12. Determine j, given that x(j) = 0.
-1, 2
Let z(i) = i**3 - i**2 + 1. Let b(r) = -4*r**5 + 3*r**4 + 4*r**3 + 8*r**2 - 9*r - 11. Let d(a) = 2*b(a) + 18*z(a). Suppose d(f) = 0. Calculate f.
-1, -1/4, 1, 2
Let x(h) be the first derivative of h**8/5040 - h**7/2520 - h**6/360 + h**5/72 - h**4/36 + h**3 - 3. Let o(k) be the third derivative of x(k). Factor o(z).
(z - 1)**3*(z + 2)/3
Let n be 1 - ((-52)/(-8) + -4 - 2). Find h such that -1/4*h**5 - n*h**2 + 0*h**3 + 1/2*h**4 + 0 + 1/4*h = 0.
-1, 0, 1
Let p(t) be the first derivative of t**8/672 - t**7/420 - t**6/240 + t**5/120 + t**2/2 - 1. Let r(q) be the second derivative of p(q). Factor r(o).
o**2*(o - 1)**2*(o + 1)/2
Let r = 28/9 + -26/9. Suppose 0 + 2/3*c**4 + 0*c - 2/3*c**3 + 2/9*c**2 - r*c**5 = 0. Calculate c.
0, 1
Let v(z) be the third derivative of z**5/60 - z**4/8 + z**3/3 + 3*z**2. Suppose v(i) = 0. Calculate i.
1, 2
Let n be 14/217 + (-800)/(-2015). Solve 2/13*k**2 - n*k + 4/13 = 0.
1, 2
Let y = 0 - -2/11. Let w = -9414/11 + 856. Factor 0 + 2/11*q**4 - y*q**3 + 2/11*q - w*q**2.
2*q*(q - 1)**2*(q + 1)/11
Let h(l) = -3*l**2 + l. Let f be h(1). Let n = 4 + f. Factor -3*y - 3*y**3 + 2*y - y**3 - 5*y**n.
-y*(y + 1)*(4*y + 1)
Let v(y) be the third derivative of -y**7/315 + y**6/45 - y**5/18 + y**4/18 - 4*y**2. Determine h, given that v(h) = 0.
0, 1, 2
Let v(c) be the first derivative of c**7/1050 - c**5/300 + c**2/2 - 2. Let y(s) be the second derivative of v(s). Suppose y(l) = 0. What is l?
-1, 0, 1
Let o(s) be the second deriva