r n(q).
-3*q*(7*q - 1)
Suppose 2*q = 2*t + q - 11, -5*t - 5*q + 65 = 0. Let y be (1/2)/(14/t). Factor -6/7*b**2 - y + 6/7*b + 2/7*b**3.
2*(b - 1)**3/7
Let k = 4 + -2. Suppose 2*l = 4*f - 4, -4 = -4*l + 4*f - k*f. Factor -4*r**2 + l*r**3 + 5 - 2*r + 3*r**4 - 5 + 1.
(r - 1)*(r + 1)**2*(3*r - 1)
Suppose -1 + 3 = 2*v, 5*v + 1 = 3*t. Factor -6/11*z**t - 4/11 - 10/11*z.
-2*(z + 1)*(3*z + 2)/11
Let f(m) be the first derivative of -m**3/6 - m**2 + 5*m/2 + 2. Solve f(p) = 0.
-5, 1
Factor 16*r**2 + 16*r**2 + r**4 - 33*r**2.
r**2*(r - 1)*(r + 1)
Suppose -12 = -3*a - 0*a. Suppose -380*n**3 + 244*n**2 - 125/2*n**5 - 72*n + 8 + 525/2*n**a = 0. What is n?
2/5, 1, 2
Let o(j) = -15*j**2 + 51*j - 36. Let h(u) = -3*u**2 + 10*u - 7. Let l(s) = -21*h(s) + 4*o(s). Suppose l(r) = 0. Calculate r.
1
Let b(r) be the third derivative of -r**5/20 + r**4/4 + 11*r**2. Factor b(c).
-3*c*(c - 2)
Let b(w) be the second derivative of w**7/168 - w**6/120 - w**5/80 + w**4/48 + 4*w. Factor b(p).
p**2*(p - 1)**2*(p + 1)/4
Let -2/5*w**3 + 2/5*w + 0*w**2 + 0 = 0. Calculate w.
-1, 0, 1
Let g(h) = h**2 + h - 1. Let q = -1 - -4. Let i(l) = -2*l**2 - 3*l + 2. Let n(d) = q*g(d) + i(d). Find b, given that n(b) = 0.
-1, 1
Let y(h) = h + 4. Let d be y(-3). Let p = d + 5. Factor 5*o**3 + p*o**5 - o**5 + 4*o**3 + 12*o**4 + 2*o**2.
o**2*(o + 1)**2*(5*o + 2)
Let g(l) = 4*l**2 - 8*l - 6. Let m(a) = 4*a**2 - 8*a - 7. Let q(k) = -7*g(k) + 6*m(k). Factor q(r).
-4*r*(r - 2)
Let c(p) be the first derivative of p**5/5 - 11*p**4/36 + p**3/9 - 4*p - 1. Let k(x) be the first derivative of c(x). Suppose k(v) = 0. Calculate v.
0, 1/4, 2/3
Let w(h) = h**2 + 5*h - 1. Let x(y) = 0 + 2 - 4*y - 4*y - 2*y**2. Let j = -86 + 91. Let v(f) = j*x(f) + 8*w(f). Suppose v(m) = 0. Calculate m.
-1, 1
Determine i, given that 0*i + 6/5*i**2 + 3/5*i**4 - 9/5*i**3 + 0 = 0.
0, 1, 2
Factor -21*u**2 - 13*u + 6 + 24*u**2 + 3*u + u.
3*(u - 2)*(u - 1)
Let y(c) = 5*c + 1. Let p be y(-1). Let x = -4 - p. Suppose 0 + 0*w**2 + 2/7*w**4 + 2/7*w**3 + x*w = 0. Calculate w.
-1, 0
Let q(b) = -b + 8. Let f be q(2). Suppose -4*m - 2*w + 2 = 0, -f = 4*w + 6. Solve 4/11 - 6/11*o + 2/11*o**m = 0.
1, 2
Find l, given that 9*l - 1 - 5 - l + l - 3*l**2 = 0.
1, 2
Suppose 2*w - 20 = 4*c, -3*w + 3 + 12 = -c. Find h such that 1 - h**4 + 2*h**4 + w*h**2 - 6*h**2 = 0.
-1, 1
Suppose -5*n - 6 = -4*l, 0*n - n = -l + 2. Let s(g) be the first derivative of 2*g**2 + n*g + 2/3*g**3 - 2. Factor s(m).
2*(m + 1)**2
Let f(o) be the second derivative of -o**6/540 + o**4/36 + 5*o**3/6 - o. Let t(j) be the second derivative of f(j). Solve t(k) = 0 for k.
-1, 1
Suppose -7/6*z**3 - 1/3 + 7/6*z + z**2 - 2/3*z**4 = 0. What is z?
-2, -1, 1/4, 1
Find c such that 17*c**3 - 8 - 14*c**5 - c**3 - 12*c + 0*c**3 + 8*c**2 + 10*c**5 = 0.
-1, 1, 2
Let y(i) be the second derivative of i**6/12 + i**5/8 - 5*i**4/24 - 5*i**3/12 + 18*i. Factor y(x).
5*x*(x - 1)*(x + 1)**2/2
Suppose -4*n - 2*b + 23 = -269, -n + 2*b = -73. Let i = n - -22. Factor -8 + i*a**3 - 19*a - 98*a**4 + 6*a**2 - 70*a**3 + 115*a**3 - 21*a.
-2*(a - 1)**2*(7*a + 2)**2
Let z = 6 + -17/3. Let p(i) be the first derivative of 2*i - z*i**3 - 2 + 1/2*i**2. Factor p(o).
-(o - 2)*(o + 1)
Let p = -3 - -6. Let x be (-160)/(-396) - 2/9. Determine d, given that 2/11*d**2 + x*d**p - 2/11*d - 2/11 = 0.
-1, 1
Suppose 23*l - 22 = 12*l. Factor 9/5*o**4 + 0 - 2/5*o + 2/5*o**3 - 9/5*o**l.
o*(o - 1)*(o + 1)*(9*o + 2)/5
Let z = -14 + 14. Suppose -x - 2*t = -z*x - 11, 3*t = -2*x + 18. Determine v, given that 2/3*v**x - 4/3 - 8/3*v**2 + 10/3*v = 0.
1, 2
Factor 0*v + 10/7*v**3 + 8/7*v**2 + 2/7*v**4 + 0.
2*v**2*(v + 1)*(v + 4)/7
Let y(l) = l + 20. Let b be y(-12). Suppose 66*p**3 + 4 - 12*p**2 - 20*p - 26*p**4 - 11*p**2 + b*p - 9*p**4 = 0. Calculate p.
-2/5, 2/7, 1
Let k(q) be the first derivative of 2/15*q**5 + 6 - 1/6*q**4 + 0*q + 0*q**2 - 2/9*q**3 + 1/9*q**6. Find h such that k(h) = 0.
-1, 0, 1
Let h(p) be the first derivative of -5*p**3/3 - 15*p**2 - 45*p - 2. Solve h(s) = 0.
-3
Let t(j) be the first derivative of 3/5*j**5 - 3*j**2 + 3/2*j**4 + 0*j - 7 - j**3. Let t(d) = 0. Calculate d.
-2, -1, 0, 1
Solve -5/6*x**5 + 0*x + 0 + 5/6*x**3 - 5/6*x**4 + 5/6*x**2 = 0.
-1, 0, 1
Suppose 0 = d - 5*p - 25, -5*p - 10 - 15 = 0. Factor 4/3*j**3 - 2/3*j**2 + 0 - 2/3*j**4 + d*j.
-2*j**2*(j - 1)**2/3
Suppose 0*a = 2*a. Let a*h**3 + 3*h**2 - h**3 + 2*h**3 - 2*h**2 = 0. Calculate h.
-1, 0
Suppose -2*c - 21 = -19. Let y be (c - 0) + 0 + 3. Find z, given that 2/7*z**y + 0*z + 0 = 0.
0
Let y be 4/(28/7)*0. Let y + 4/9*h**3 + 10/9*h**4 - 4/9*h - 10/9*h**2 = 0. What is h?
-1, -2/5, 0, 1
Find h, given that -3/5*h**3 - 507/5 + 15*h**2 - 429/5*h = 0.
-1, 13
Suppose -d - 3 = -19. Let w be 20/d + 6/8. Determine c, given that 16/5*c + 2/5*c**3 - w*c**2 - 8/5 = 0.
1, 2
Let b(x) = x**2 + 7*x + 2. Let a be b(-7). Suppose -4*k = 4*z - 12, -3*z - a*k = -6*k + 12. Factor -2/3*h**2 + 0 + z*h + 2/3*h**3.
2*h**2*(h - 1)/3
Let g = -198 - -992/5. Let 8/5*y**2 - 2*y - g*y**3 + 4/5 = 0. What is y?
1, 2
Let g(w) be the third derivative of w**8/840 - w**7/525 + 7*w**2. Find d, given that g(d) = 0.
0, 1
Let u be 56/21 + 2/(-1). Determine d, given that -u*d**3 + 5/3*d - d**5 - 1/3 - 2*d**2 + 7/3*d**4 = 0.
-1, 1/3, 1
Determine y so that 0*y**4 + 7*y**3 - 9*y**3 + y**4 - y**2 + 2*y**2 = 0.
0, 1
Let c(u) = -2*u + 2. Let i be c(4). Let w be (16/(-12))/(28/i). Factor -2/7*r + 2/7*r**3 - 2/7*r**4 + 0 + w*r**2.
-2*r*(r - 1)**2*(r + 1)/7
Let a(p) be the third derivative of -p**5/300 + p**4/60 + 2*p**2. Factor a(g).
-g*(g - 2)/5
Let i(w) = w**2 - 31*w - 26. Let l(g) = -30*g - 25. Let z(x) = 5*i(x) - 6*l(x). Factor z(n).
5*(n + 1)*(n + 4)
Determine y so that -2/3*y**5 + 5/6*y**2 + 0 + 1/2*y**3 + 1/6*y - 5/6*y**4 = 0.
-1, -1/4, 0, 1
Let k(r) = r. Let v(o) = o - 9. Let n(z) = 2*k(z) - v(z). Let j be n(-7). Factor -4/3*h - 14/3*h**5 + 0 - 26/3*h**j - 18*h**3 - 46/3*h**4.
-2*h*(h + 1)**3*(7*h + 2)/3
Suppose 0*l - 2/11*l**5 + 0 - 4/11*l**4 - 2/11*l**3 + 0*l**2 = 0. Calculate l.
-1, 0
Let t(w) be the first derivative of -5*w**3/3 - 5*w**2 - 5*w - 3. Factor t(i).
-5*(i + 1)**2
Let a(c) be the first derivative of 0*c**3 - 1/240*c**6 - c**2 - 3 - 1/48*c**4 + 0*c - 1/60*c**5. Let z(o) be the second derivative of a(o). Factor z(r).
-r*(r + 1)**2/2
Let r(j) be the third derivative of 0*j + 0*j**4 - 2*j**2 + 1/140*j**5 + 0 + 0*j**3. Solve r(a) = 0.
0
Let u = 0 + 7. Factor 6*l**2 + 3 - 16*l - 2 + u.
2*(l - 2)*(3*l - 2)
Let r(t) be the first derivative of 9*t**4/4 - 26*t**3 + 96*t**2 - 96*t + 25. Factor r(s).
3*(s - 4)**2*(3*s - 2)
Let j(y) be the first derivative of 3*y**4/4 - 5*y**3 - 3*y**2/2 + 15*y + 64. What is t in j(t) = 0?
-1, 1, 5
Let c(g) be the first derivative of -4 - g**3 - 3/4*g**4 + 1/2*g**6 + 0*g**2 + 0*g + 3/5*g**5. Suppose c(n) = 0. What is n?
-1, 0, 1
Let d(q) = -q**3 - q**2 - 1. Let v(z) = z**4 - 10*z**3 - 7*z**2 - 8. Let p(o) = -24*d(o) + 3*v(o). What is g in p(g) = 0?
0, 1
Suppose -4*y = -6 - 2. Let c(k) be the second derivative of -y*k - 1/21*k**3 - 5/42*k**4 - 2/147*k**7 + 0*k**2 - 9/70*k**5 + 0 - 1/15*k**6. Factor c(t).
-2*t*(t + 1)**3*(2*t + 1)/7
Let p(r) be the first derivative of -r**4/20 + r**3/15 + r**2/10 - r/5 + 9. Suppose p(o) = 0. Calculate o.
-1, 1
Let z = 261/5 + -52. Let x(r) be the first derivative of 3 - z*r**5 + 0*r**4 + 1/8*r**2 + 1/4*r**3 + 0*r. Determine t, given that x(t) = 0.
-1/2, 0, 1
Suppose 5*j - 19 = q, 2 = -j - 4*q - 11. Factor -2/5*d**j + 2/5*d + 0 + 0*d**2.
-2*d*(d - 1)*(d + 1)/5
Let t be 1/(9 - 170/20). Solve 8/7*g**3 + 2/7 + 12/7*g**t + 8/7*g + 2/7*g**4 = 0.
-1
Let k(r) be the second derivative of 0*r**2 + 4*r + 1/70*r**5 + 0*r**3 - 1/21*r**4 + 0. Solve k(n) = 0.
0, 2
Suppose -2*o = 3*m + 11, -m + o + 2*o = 0. Let u(a) = a + 3. Let r be u(m). Determine f, given that 0 + 2/5*f**5 + 6/5*f**4 + 2/5*f**2 + r*f + 6/5*f**3 = 0.
-1, 0
Let h(n) be the second derivative of 2/3*n**2 + 1/5*n**5 + 2/45*n**6 + 0 - 1/3*n**3 - 2/9*n**4 - 1/21*n**7 + 4*n. Determine g, given that h(g) = 0.
-1, 2/3, 1
Let f = -8 + 11. Factor 4*g**2 - f*g**2 + g**2 + 0*g**2.
2*g**2
Let v(l) be the first derivative of 0*l**2 + 3/8*l**4 - 2 + 0*l + 1/3*l**3. Factor v(h).
h**2*(3*h + 2)/2
Suppose -3*j + t + 45 = 0, 3*j - 75 = -2*j + 4*t. Suppose 3*h + c - 10 = 0, 2*h = -4*c + 5 + j. Factor