70 + 1/10. Factor -6/7*c**3 - s*c + 6/7*c**2 + 2/7*c**4 + 0.
2*c*(c - 1)**3/7
Factor -1/7 - 1/7*f**3 + 1/7*f**2 + 1/7*f.
-(f - 1)**2*(f + 1)/7
Let p(o) = o**2 - 3. Let z(j) = 2*j**2 - j - 5. Let b(t) = 10*p(t) - 6*z(t). Factor b(i).
-2*i*(i - 3)
Factor 0 + 2/19*i**4 - 8/19*i**2 + 8/19*i - 2/19*i**3.
2*i*(i - 2)*(i - 1)*(i + 2)/19
Let s(a) be the first derivative of -a**4/6 + 2*a**3/9 + 2*a**2/3 + 45. Factor s(p).
-2*p*(p - 2)*(p + 1)/3
Let m be (3/(-2))/((-1)/2). Solve 3*u**m + 4*u - 3*u**4 + 6*u**2 - 3*u**3 + u**4 = 0 for u.
-1, 0, 2
Let r(j) = -37*j**2 + 9*j + 8. Let q(y) = 112*y**2 - 26*y - 25. Let z(k) = 4*q(k) + 14*r(k). Determine x so that z(x) = 0.
-2/7, 3/5
Factor -2*t**2 + 3*t - 2*t**3 + 2*t**2 - t**3.
-3*t*(t - 1)*(t + 1)
Let q(p) be the third derivative of -p**5/90 + p**4/18 + 6*p**2 + p. Factor q(f).
-2*f*(f - 2)/3
Let b(l) = l**2 + 3*l. Let j be b(-4). Factor -6/5*v**3 + 2/5*v**2 - 2/5*v**5 + 0 + 6/5*v**j + 0*v.
-2*v**2*(v - 1)**3/5
Factor -1/2*y**5 - 3/2*y**4 + 0 - 3/2*y**3 + 0*y - 1/2*y**2.
-y**2*(y + 1)**3/2
Suppose -80/3*g**2 + 18*g**3 + 8*g - 10/3*g**4 + 0 = 0. What is g?
0, 2/5, 2, 3
Let k be (1 + 2)*(-8)/(-12). Let h be (k + -1)/1 + 1. Suppose 4*g**2 + g + 4*g**4 + g**5 + 6*g**3 + g**4 - h*g**4 + g**4 = 0. Calculate g.
-1, 0
Let w(x) be the first derivative of 0*x**2 + 0*x - x**4 - 2/5*x**5 - 3 - 2/3*x**3. Let w(b) = 0. Calculate b.
-1, 0
Let j(n) be the third derivative of -n**4/24 - n**3/3 + n**2. Let w be j(-5). What is q in 1/2*q**4 - 1/2*q + 1/2*q**w - 1/2*q**2 + 0 = 0?
-1, 0, 1
Let m(d) be the third derivative of -d**2 - 1/30*d**5 - 1/60*d**6 + 0*d + 0*d**3 + 1/105*d**7 + 1/12*d**4 + 0. Suppose m(y) = 0. What is y?
-1, 0, 1
Let m be (2/4)/((-4)/(-32)). Suppose 4 + 12 = 4*u - 5*n, 0 = -m*u + 4*n + 16. Solve -1/2*t**2 + 1/2*t**u + 1/4*t + 0*t**3 + 0 - 1/4*t**5 = 0.
-1, 0, 1
Suppose -6 = o - 3*o. Factor 0*a - a**4 + 2*a**o + 4*a**4 + a**2 - 4*a**4 - 2*a.
-a*(a - 2)*(a - 1)*(a + 1)
Let b(p) be the second derivative of -p**6/15 - 4*p**5/5 - 3*p**4 + 27*p**2 - 15*p. Factor b(i).
-2*(i - 1)*(i + 3)**3
Determine s, given that -248/7*s**4 + 144/7*s**5 - 2/7 + 52/7*s**2 + 57/7*s**3 - 3/7*s = 0.
-1/4, 2/9, 1
Let z = 349/260 + -6/65. Solve z*w**3 + 1/2*w**2 + 0*w + w**4 + 1/4*w**5 + 0 = 0 for w.
-2, -1, 0
Suppose 2*l = -28*l + 3*l. Factor 1/6*j**3 + l*j + 1/3*j**2 + 0.
j**2*(j + 2)/6
Let p(o) = -18*o**3 - 34*o**2 - 12*o - 8. Let m be (3 - 0)/((-6)/16). Let g(n) = 6*n**3 + 11*n**2 + 4*n + 3. Let x(d) = m*g(d) - 3*p(d). Solve x(u) = 0.
-2, -1/3, 0
Factor 0 + 1/3*u - 1/3*u**2.
-u*(u - 1)/3
Let i(x) be the second derivative of x**4/4 + 2*x**3 - 18*x**2 + 21*x. Determine a so that i(a) = 0.
-6, 2
Let k(g) = g**3 - 20*g**2 + 20*g - 16. Let v be k(19). Let b(w) be the first derivative of 3 + 0*w**2 + 0*w + 1/6*w**4 + 2/9*w**v. Factor b(o).
2*o**2*(o + 1)/3
Let w(x) = 5*x**4 - 7*x**3 + 2*x**2. Let p = 5 - 8. Let o(q) = 6*q**4 - 8*q**3 + 2*q**2. Let i(y) = p*o(y) + 4*w(y). What is d in i(d) = 0?
0, 1
Let o(d) be the third derivative of -d**6/1140 - 4*d**5/285 - 13*d**4/228 - 2*d**3/19 + 40*d**2. Suppose o(q) = 0. Calculate q.
-6, -1
Let d(j) be the third derivative of 0*j + 1/180*j**6 + 1/60*j**5 + 0*j**4 + 1/3*j**3 - 2*j**2 + 0. Let r(v) be the first derivative of d(v). Factor r(p).
2*p*(p + 1)
Suppose 0 = 3*v + 2*c + 4, -4 = 4*v + 4*c + 8. Suppose 0*l**3 - 2/7*l**v + 4/7*l**5 + 0 + 0*l + 6/7*l**4 = 0. What is l?
-1, 0, 1/2
Suppose 2*p = a + 1, -2 = 3*p + a + a. Let z(n) be the first derivative of 2/5*n**5 - 3/2*n**4 + p*n - n**2 + 2*n**3 + 1. Factor z(k).
2*k*(k - 1)**3
Let v be ((-4)/(-6))/(25/135). Solve 14/5*z**4 - 3/5*z - 3*z**5 - 16/5*z**2 + 2/5 + v*z**3 = 0.
-1, -2/5, 1/3, 1
Factor -3*m**2 - 2*m**2 - 15*m + 15*m**2 + 10*m**2 - 5*m**3.
-5*m*(m - 3)*(m - 1)
Let o(k) be the first derivative of -2 + 1/8*k**2 + 0*k + 1/12*k**3. Factor o(b).
b*(b + 1)/4
Let o(c) = c**4 + c**3 - c. Let a(p) = 2*p**4 + 11*p**3 + 15*p**2 + 7*p. Let g(x) = -a(x) - o(x). Suppose g(n) = 0. Calculate n.
-2, -1, 0
Suppose 5*t + 1 = -14. Let a = 5 + t. Find g, given that -6/5*g**a + 6/5*g - 2/5 + 2/5*g**3 = 0.
1
Let t be 18*12/200 - 1. Let u(s) be the second derivative of 0 - 4/15*s**4 - t*s**5 - 1/5*s**2 - 1/3*s**3 - 2*s. Factor u(c).
-2*(c + 1)*(2*c + 1)**2/5
Let o(y) = -y**3 - y + 1. Let w(b) = 4*b**4 + 10*b**3 - 6*b - 6. Let k(c) = 2*o(c) + w(c). What is z in k(z) = 0?
-1, 1
Suppose s - 1 - 2 = 0. Let a(p) be the first derivative of -2/3*p + 1/9*p**s - 1/6*p**2 + 1. Solve a(z) = 0.
-1, 2
Suppose 36 + 4 = -n. Let j be (8/n)/((-6)/10). Factor 0 + 1/3*p - j*p**2.
-p*(p - 1)/3
Let c(y) be the third derivative of y**8/3360 + y**7/630 - y**4/24 - 3*y**2. Let j(z) be the second derivative of c(z). Factor j(u).
2*u**2*(u + 2)
Let j be (8 - -2)/(-2 - -3). Let x = j - 7. Factor -2*b**2 + 2*b - x*b + 3*b.
-2*b*(b - 1)
Solve 9/2*n - 3 - 3/2*n**3 + 0*n**2 = 0.
-2, 1
Factor 6/5*y + 0*y**2 + 3/5*y**4 - 3/5 - 6/5*y**3.
3*(y - 1)**3*(y + 1)/5
Suppose 6*d**4 - 18*d**3 + 24*d**2 - 3*d**4 + 43*d - 25*d - 27 = 0. Calculate d.
-1, 1, 3
Factor 0*j + 0 - 2/5*j**4 - 2/5*j**3 + 2/5*j**5 + 2/5*j**2.
2*j**2*(j - 1)**2*(j + 1)/5
Let k be ((-10)/(-15))/2*0. What is d in -1/4*d**4 + 0*d**2 + 1/2*d**3 + 0 + k*d - 1/4*d**5 = 0?
-2, 0, 1
Let x(j) be the third derivative of -1/3*j**3 + j**2 + 0 - 1/30*j**5 - 1/6*j**4 + 0*j. Factor x(y).
-2*(y + 1)**2
Let o be (5/2 + -2)*14. Let x = 10 - o. Factor 2*t**3 - 1 - t**x - t + 4*t**2 - 3*t**2.
(t - 1)*(t + 1)**2
Let z(f) = -3*f**3 + 2*f**2 + 5*f - 4. Let t(w) = -2*w**3 + w**2 + 4*w - 3. Let q(h) = -4*t(h) + 3*z(h). Solve q(u) = 0 for u.
0, 1
Let g(o) be the third derivative of o**6/60 + o**5/40 + o**3/2 + 4*o**2. Let f(d) be the first derivative of g(d). Solve f(l) = 0 for l.
-1/2, 0
Let d(t) be the third derivative of t**8/6048 + t**7/2520 - t**5/30 - t**2. Let c(o) be the third derivative of d(o). Factor c(i).
2*i*(5*i + 3)/3
Factor -52*o - o**3 - 3*o**4 + 53*o - o**2 + 4*o**4.
o*(o - 1)**2*(o + 1)
Let a(p) be the first derivative of 98*p**5/5 - 133*p**4 + 554*p**3/3 + 228*p**2 + 72*p - 4. Factor a(c).
2*(c - 3)**2*(7*c + 2)**2
Let l be (3 - 8)*(-2)/5. Suppose l*i - 12 = 4*n, -6*i = -i + n - 19. Determine d, given that -256/5*d + 98/5*d**i - 448/5*d**3 + 624/5*d**2 + 32/5 = 0.
2/7, 2
Let f be -1 + (-12)/(-10) - 0/(-16). Factor f*m + 1/5*m**2 + 0.
m*(m + 1)/5
Let d(v) = 1 + 0 + 2*v**2 + 0 - 2 + v. Let z be d(1). Determine t, given that 0 - 1/3*t**4 + 1/3*t**z - 1/3*t + 1/3*t**3 = 0.
-1, 0, 1
Let o(r) be the third derivative of 0*r**3 + 1/180*r**6 - 1/108*r**4 + 2*r**2 + 0*r - 1/135*r**5 + 0. Solve o(b) = 0 for b.
-1/3, 0, 1
Let i(z) be the third derivative of z**7/420 - z**6/90 + z**5/60 - 5*z**3/6 + 2*z**2. Let m(t) be the first derivative of i(t). What is k in m(k) = 0?
0, 1
Let n(a) be the first derivative of -a**6/1800 + a**4/120 - a**3/3 - 4. Let j(y) be the third derivative of n(y). Suppose j(v) = 0. What is v?
-1, 1
Let p(y) be the third derivative of y**7/2205 + y**6/504 + y**5/420 + y**4/8 + 2*y**2. Let f(j) be the second derivative of p(j). Factor f(g).
2*(g + 1)*(4*g + 1)/7
Suppose 3*n - s = 2*s - 9, 5*n + 21 = 3*s. Let h(m) = -m**3 - 5*m**2 + 6*m + 6. Let k be h(n). Determine j, given that k*j - 6*j + 0*j**2 - j**2 = 0.
0
Let q(n) be the second derivative of 0 - 7/12*n**4 - 7/20*n**5 - 1/3*n**3 + 3*n - 1/15*n**6 + 0*n**2. Let q(p) = 0. What is p?
-2, -1, -1/2, 0
Let k(f) be the first derivative of f**9/6048 - f**8/3360 - f**3 - 2. Let c(r) be the third derivative of k(r). Determine u so that c(u) = 0.
0, 1
Let g = 127 + -119. Let s(y) be the second derivative of -g*y**3 - 6*y**2 - 3*y - 21/4*y**4 + 0 - 27/20*y**5. Factor s(w).
-3*(w + 1)*(3*w + 2)**2
Let w be 165/42 + -1 + -3. Let k = 4/7 + w. Factor -1/2 - l - k*l**2.
-(l + 1)**2/2
Factor -2/7*k**3 + 0*k**2 - 1/7*k**4 + 1/7 + 2/7*k.
-(k - 1)*(k + 1)**3/7
Let n be 5*(-1 - (-8)/5). Factor -18*g - n*g**2 + 27 - 3*g**2 + 3*g**2 + 6*g**2.
3*(g - 3)**2
Let b(r) = -4*r**4 + 8*r**3 - 3*r**2 - 8*r + 1. Let w(j) = 12*j**4 - 24*j**3 + 10*j**2 + 24*j - 2. Let m(n) = -10*b(n) - 3*w(n). Let m(q) = 0. Calculate q.
-1, 1
Suppose 0*n + 4 = n. Factor 3*k**2 - 2 + k**2 - 2*k**4 + 0*k**n.
-2*(k - 1)**2*(k + 1)**2
Let b = 1 + 1. Factor -2*a**2 + 4*a - 3*a**2 - a**b.
-2*a*(3*a - 2)
Let y = -4 + 5. Supp