 t**2 - 5*t. Let q(v) = -2*v**3 + 2*v**2 - 6*v. Let y(j) = -5*q(j) + 6*u(j). Solve y(a) = 0 for a.
-2, 0
Let t = 23 - 20. Let h(g) = -g**2 - 5*g**4 - 3*g + 3*g**2 - 2*g + 2*g**3. Let u(o) = -6*o**4 + 2*o**3 + 2*o**2 - 6*o. Let v(f) = t*u(f) - 4*h(f). Factor v(p).
2*p*(p - 1)**2*(p + 1)
Let q = 0 - 6. Let k be (9/q)/((-12)/16). Factor -1/2 - g**k - 9/4*g.
-(g + 2)*(4*g + 1)/4
Let s = 220 - 879/4. Suppose 0 + c**2 + c + s*c**3 = 0. What is c?
-2, 0
Let l(h) be the third derivative of -11/540*h**6 + 2/135*h**5 + 0*h**3 + 1/168*h**8 + 2*h**2 - 2/315*h**7 + 1/27*h**4 + 0*h + 0. Solve l(s) = 0 for s.
-2/3, 0, 1
Find p such that 387*p**3 + 32 - 17*p**2 - 401*p**3 + 104*p - 15*p**2 = 0.
-4, -2/7, 2
Find r, given that -35/4*r + 25/4 - 11/4*r**4 + 17/2*r**3 + 1/4*r**5 - 7/2*r**2 = 0.
-1, 1, 5
Find v, given that -2*v - 5*v**3 - 8*v + 3*v**2 - 4*v**2 + 16*v**2 = 0.
0, 1, 2
Let r(g) be the first derivative of -g**4/10 + 4*g**3/5 - 9*g**2/5 - 20. Determine n so that r(n) = 0.
0, 3
Suppose 11 = -4*j + 3. Let y be -1 - ((0 - j) + -5). Solve -4/3*a + 10/3*a**3 - 2*a**y + 0 = 0.
-2/5, 0, 1
Let j be (-4)/(-16) + (-4)/16. Let t(s) be the third derivative of 0 + 0*s**3 + 0*s**4 + 1/100*s**5 + 3*s**2 + j*s. Solve t(l) = 0 for l.
0
Suppose -5*m - 6 = -26. Let z(q) be the first derivative of -2/45*q**5 - 1/27*q**6 - 1 + 0*q**2 + 1/18*q**m + 2/27*q**3 + 0*q. Let z(k) = 0. Calculate k.
-1, 0, 1
Let j = 9 + -6. Suppose -5*i = -5*z - 10, -2*z - j*z + 40 = 5*i. Factor 3*l**3 - 2*l**3 + 2*l**z.
3*l**3
Factor 3*u**2 + 0*u - 7*u**2 + 14*u - 2*u.
-4*u*(u - 3)
Let z(h) be the first derivative of 2*h**4 - 2*h - 2/5*h**5 + 4*h**2 + 5 - 4*h**3. Determine u so that z(u) = 0.
1
Let i be 2*3/(-12) - -1. Factor 0 + 1/2*k**2 - i*k.
k*(k - 1)/2
Let p(c) be the third derivative of -c**6/120 + c**5/30 + c**4/8 + 3*c**2. Suppose p(f) = 0. What is f?
-1, 0, 3
Let j be 2 - (2 + -5 + 2). Suppose 2 = k - 1. Let s**j - 3*s**k + s + s = 0. Calculate s.
-1, 0, 1
Let n(h) = 4*h**4 + 16*h**3 + 11*h**2 + 5. Let a(j) = 2*j**4 + 8*j**3 + 5*j**2 + 3. Let v(c) = 10*a(c) - 6*n(c). Suppose v(x) = 0. What is x?
-2, 0
Let c(l) be the third derivative of l**5/30 + 2*l**2. Let z be c(1). Find k, given that -k**z + 0 + 2/3*k = 0.
0, 2/3
Let 20*c**2 + 10*c - 4*c - 17*c**2 = 0. Calculate c.
-2, 0
Let f be ((-2)/5)/(4/(-10)*2). Determine h, given that -1/2*h**2 + f - 1/2*h + 1/2*h**3 = 0.
-1, 1
Let k(b) be the second derivative of 1/2*b**2 + 0 + 1/12*b**3 - 1/24*b**4 - 2*b. Factor k(l).
-(l - 2)*(l + 1)/2
Let c(j) = -3*j**4 + 11*j**3 + 6*j**2 + 7*j - 5. Let f(s) = -s**4 + 5*s**3 + 3*s**2 + 3*s - 2. Let p(l) = 2*c(l) - 5*f(l). Factor p(x).
-x*(x + 1)**3
Let g be 12*1/(-5) + 2. Let t = g - -9/10. Factor -1/2*s**2 + t + 0*s.
-(s - 1)*(s + 1)/2
Let l(r) be the first derivative of -1 + 0*r - 1/32*r**4 + 0*r**2 + 1/12*r**3. What is u in l(u) = 0?
0, 2
Let b(i) be the second derivative of i**7/399 - i**5/190 - 5*i. Factor b(h).
2*h**3*(h - 1)*(h + 1)/19
Let g(r) = -4*r**3 - 12*r**2 - 16*r - 6. Let m(a) = 21*a**3 + 61*a**2 + 80*a + 29. Suppose 5*t - 3*t = -4. Let v(z) = t*m(z) - 11*g(z). Solve v(b) = 0.
-2, -1
Find l, given that 1/2*l**3 + 5/2*l + 2*l**2 + 1 = 0.
-2, -1
Let u = 41/4 - 10. Factor -1/2*f + u + 1/4*f**2.
(f - 1)**2/4
Let o(a) be the first derivative of 3/8*a**2 + 1/4*a**3 + 3 + 0*a. Factor o(i).
3*i*(i + 1)/4
Let f = 47 - 43. Factor -c + c**3 - 1 + 3/4*c**2 + 1/4*c**f.
(c - 1)*(c + 1)*(c + 2)**2/4
Let i(y) = -48*y**3 - y**2 + y + 1. Let x be i(-1). Let 2 + 52*z**3 + z**2 - 3*z**2 - 5*z - x*z**3 = 0. Calculate z.
-1, 2/5, 1
Let j(v) = -v**2 + 8*v - 9. Let q be j(6). Suppose c + 10 = q*r, -5*c - 4*r = -2*r - 18. Factor g + g - 4*g - 3*g**3 + g**3 + 4*g**c.
-2*g*(g - 1)**2
Suppose -3*i + 2*i + 4*a + 4 = 0, -4*i = 2*a - 16. Let f(c) be the first derivative of 0*c**2 + 1/14*c**i + 0*c**3 + 0*c + 3. Factor f(n).
2*n**3/7
Let m(o) be the second derivative of -o**4/78 + o**3/13 - 2*o**2/13 - 4*o. Factor m(x).
-2*(x - 2)*(x - 1)/13
Let c = -244 + 12442/51. Let u = 47/102 - c. Factor u*s**4 + 0 + 0*s**3 - s - 3/2*s**2.
s*(s - 2)*(s + 1)**2/2
Let y(b) = b**5 - b**4 - b**3 + b**2 - 1. Let p(t) = -3*t**5 - 19*t**4 - 23*t**3 - 9*t**2 - 2*t - 2. Let c(s) = 3*p(s) - 6*y(s). Factor c(d).
-3*d*(d + 1)**3*(5*d + 2)
Let b(w) be the first derivative of 2 - 1/24*w**4 + 1/120*w**6 + 0*w**5 + 0*w**3 - 1/2*w**2 + 0*w. Let m(c) be the second derivative of b(c). Factor m(k).
k*(k - 1)*(k + 1)
Let n(u) be the second derivative of -u**5/80 - u**4/16 - 45*u. Determine h, given that n(h) = 0.
-3, 0
Let o(r) be the first derivative of -r**4/4 + 2*r**3/3 - 5*r**2/8 + r/4 + 28. Determine a, given that o(a) = 0.
1/2, 1
Let n(y) be the third derivative of -2*y**7/105 + y**6/10 - y**5/5 + y**4/6 - 8*y**2. Determine j, given that n(j) = 0.
0, 1
Let i(m) be the third derivative of 0*m**3 + 1/28*m**4 + 0*m + 1/140*m**5 + 4*m**2 + 0. Factor i(l).
3*l*(l + 2)/7
Let b(x) = 2*x**5 - 4*x**4 + 2*x**3 - 2*x**2 + 2. Let u(h) = -4*h**5 + 8*h**4 - 4*h**3 + 5*h**2 - 5. Let k(z) = -10*b(z) - 4*u(z). Determine a so that k(a) = 0.
0, 1
Let z(r) = 2*r**2 + 18*r - 26. Let k(a) = -a**2 - 17*a + 27. Let y(b) = -2*k(b) - 3*z(b). Factor y(o).
-4*(o - 1)*(o + 6)
Determine f, given that -3*f + 3*f**2 + 3*f**2 + 139*f**3 - 142*f**3 = 0.
0, 1
Let f be (4/(-28))/((-4)/7). Let d(q) be the first derivative of 1/5*q**5 + 0*q + f*q**4 - 1 - 1/6*q**6 - 1/3*q**3 + 0*q**2. Suppose d(m) = 0. Calculate m.
-1, 0, 1
Let -18 - 4*c - 2/9*c**2 = 0. What is c?
-9
Let x(g) = 19*g**2 - 145*g + 50. Let q(f) = 96*f**2 - 726*f + 249. Let k(u) = -4*q(u) + 21*x(u). Factor k(a).
3*(a - 9)*(5*a - 2)
Let l(h) be the third derivative of -h**8/336 + h**7/210 + h**6/120 - h**5/60 - 10*h**2. Find r, given that l(r) = 0.
-1, 0, 1
Factor -12/7*y + 4/7*y**2 + 8/7.
4*(y - 2)*(y - 1)/7
Let i(w) be the third derivative of w**8/80640 - w**5/20 + 3*w**2. Let k(q) be the third derivative of i(q). Factor k(x).
x**2/4
Let s(p) be the third derivative of -p**7/210 + p**5/30 - p**3/6 + p**2. Let s(n) = 0. Calculate n.
-1, 1
Suppose 2*y = 3*z + 2*z + 9, 3*y + 2*z = 4. Let l be (y/(-6))/((-2)/24). Factor 2*q**l + 8*q**5 - q**3 - q**4 - 7*q**5 - q**2.
q**2*(q - 1)*(q + 1)**2
Let s(h) = -112*h**4 - 52*h**3 - 12*h**2 + 12*h + 12. Let c(v) = 45*v**4 + 21*v**3 + 5*v**2 - 5*v - 5. Let m(f) = -12*c(f) - 5*s(f). Factor m(x).
4*x**3*(5*x + 2)
Suppose -5*o = -15 + 5. Suppose -1 = 3*b - 8*b - x, o*x - 2 = 4*b. Factor 0*y + 8/3*y**3 + b + 8/9*y**2 + 2*y**4.
2*y**2*(3*y + 2)**2/9
Let v(g) be the first derivative of -5*g**9/3024 - g**8/560 + g**7/420 + g**3 + 2. Let y(i) be the third derivative of v(i). Let y(s) = 0. What is s?
-1, 0, 2/5
Let m(u) be the first derivative of 2*u**5/5 - 7*u**4/6 + 4*u**3/9 + 5. Factor m(a).
2*a**2*(a - 2)*(3*a - 1)/3
Suppose -4*q = -3*q - 1. Let l be -1 - -6*(q + 0). Find d such that 4*d**2 + 8 - 6*d**3 - 8 + 4*d**4 - d**l - d = 0.
0, 1
Let w(p) = -2*p**2 + p + 1. Let l be w(-3). Let r be 2/(-16)*(l + 16). Determine m so that r - m + 1/2*m**2 = 0.
1
Let v(l) be the second derivative of 0 - 2/27*l**3 + 1/90*l**5 + 0*l**2 + 6*l + 1/54*l**4. Factor v(h).
2*h*(h - 1)*(h + 2)/9
Let t(d) be the second derivative of -d**5/170 - 2*d**4/51 - 4*d**3/51 + 6*d. Suppose t(a) = 0. What is a?
-2, 0
Let w(k) be the third derivative of k**11/332640 + k**10/151200 - k**5/20 - 7*k**2. Let n(y) be the third derivative of w(y). Factor n(g).
g**4*(g + 1)
Let r be (-4)/6*12/(-40). Let o = -1349/5 + 270. Solve 1/5*n**2 - r*n - o + 1/5*n**3 = 0 for n.
-1, 1
Let n = 60 - 56. Factor 0*c + 1/3*c**n - 1/3*c**2 + 0 + 0*c**3.
c**2*(c - 1)*(c + 1)/3
Suppose 31 = 11*s - 12*s. Let q = -26 - s. Determine g, given that 1/2*g**q - 2*g**2 + 1/2*g + 0 - 2*g**4 + 3*g**3 = 0.
0, 1
Let z(v) be the second derivative of v**8/84 + 3*v**7/70 + v**6/60 - 3*v**2/2 + 2*v. Let u(l) be the first derivative of z(l). Factor u(j).
j**3*(j + 2)*(4*j + 1)
Factor -34 - 72*b**2 - 2*b**4 - 7 - 20*b**3 - 13 - 108*b.
-2*(b + 1)*(b + 3)**3
Let x = -4/3 - -5/3. Factor 2*j**3 + 1/3*j + x*j**5 + 4/3*j**2 + 0 + 4/3*j**4.
j*(j + 1)**4/3
Let b(s) be the second derivative of s**7/3780 - s**5/180 + s**4/6 + s. Let n(j) be the third derivative of b(j). Solve n(k) = 0 for k.
-1, 1
Let u(j) be the second derivative of -5*j**4/12 - 5*j**3/2 - 5*j**2 - 18*j - 1. F