*l**4 - 1/60*l**6 - 2*l + 7/80*l**5. Suppose a(z) = 0. Calculate z.
1/2, 1
Find o, given that 0 + 0*o**4 + 8/7*o**3 + 0*o**2 - 2/7*o**5 + 0*o = 0.
-2, 0, 2
Let g(w) = w**2 - 6*w - 7. Let l(y) = -3*y - 3. Let p(a) = -3*g(a) + 5*l(a). Factor p(c).
-3*(c - 2)*(c + 1)
Find d such that -3/5*d**2 - 27/5 + 18/5*d = 0.
3
Let l(t) = -t + 3. Let x be l(-7). Suppose -3*a = -2*v - x, a - 2*v = 2*a + 2. Let 0*i + 1/3 - 1/3*i**a = 0. What is i?
-1, 1
Suppose -u - 3 = 3. Let a be (15/(-6) + 2)*u. Solve 4*d**4 - 21*d**2 - 2*d**3 - 4 + 5*d**4 + 20*d + a*d**4 - 5*d**4 = 0 for d.
-2, 2/7, 1
Suppose -3*g = -2*z + 2, 0*z - 2*g = -z. Let u(y) be the second derivative of -10/3*y**3 - 1/4*y**z + 2*y + 0 + 49/30*y**6 + 2*y**2 + 7/2*y**5. Solve u(d) = 0.
-1, 2/7
Let o(u) be the second derivative of -5*u**4/12 - 15*u**3 - 405*u**2/2 + 3*u. Let o(q) = 0. What is q?
-9
Let z(r) be the first derivative of -2*r**5/5 - 13*r**4/4 - 25*r**3/3 - 4*r**2 + 12*r - 10. Let z(q) = 0. Calculate q.
-3, -2, 1/2
What is k in 4/9 + 4/9*k**4 + 4/9*k**3 - 8/9*k**2 - 2/9*k**5 - 2/9*k = 0?
-1, 1, 2
Suppose 1 + 34 = 5*z. Let v = z + -7. Factor -1/3*n**4 + 0*n + 0*n**2 + v + 0*n**3.
-n**4/3
Factor 393 - 393 - 3*n**2 + n.
-n*(3*n - 1)
Let y(f) = 4*f**2 + f. Let o be y(-1). Suppose -o = -2*s + s. Solve s*m**2 + 2 + 1 + 6*m + 0 = 0.
-1
Let h be ((-270)/(-40))/(2/(-8)). Let z = 30 + h. Determine q so that 2/3 + 1/3*q**z - q + 0*q**2 = 0.
-2, 1
Let d be (-242)/70 - (-4 + 0). Let j = d - 1/7. Factor 1/5 + 1/5*v**2 - j*v.
(v - 1)**2/5
Let x(j) be the third derivative of -2/105*j**7 + 1/336*j**8 - 1/15*j**5 + 1/24*j**4 + j**2 + 0 + 0*j**3 + 0*j + 1/20*j**6. What is f in x(f) = 0?
0, 1
Suppose 9*d - 1 - 8 = 0. What is y in -3/2*y + d + 1/2*y**2 = 0?
1, 2
Let d(l) = l**2 + l. Let k(j) = -6*j**2 + 2*j - 16. Let p(a) = 10*d(a) + k(a). Factor p(f).
4*(f - 1)*(f + 4)
Find u, given that -32/15*u**3 + 2/15*u - 64/15*u**2 + 4/15 = 0.
-2, -1/4, 1/4
Let j = 11 + -4. Let i be 18/(-9) + 22/j. Determine d, given that 8/7*d + i*d**2 + 2/7*d**3 + 0 = 0.
-2, 0
Let h = 2 + 0. Let n(l) be the first derivative of 1/9*l**3 - 1/12*l**4 + 0*l + 0*l**h - 2. Factor n(x).
-x**2*(x - 1)/3
Let i(b) = 0 + 1 - 2 - 3*b + 5*b. Let x be i(2). Let -1/3*s**4 + 0*s + 0*s**x + 2/3*s**2 - 1/3 = 0. What is s?
-1, 1
Let z be -1*(1 + -2) - -3. Suppose -p**5 + 2*p**2 + p**2 - 2*p**z - p**2 + 0*p**4 + p = 0. Calculate p.
-1, 0, 1
Let k be (-1)/(-2)*0/(-2). Suppose 0 = -4*y + 4*f + 20, y + k*f - 8 = 4*f. Let -y*d**2 + 0*d**2 + 3*d**2 + d = 0. What is d?
0, 1
Let x(t) be the second derivative of -1/12*t**4 + 1/6*t**3 + 0 + t**2 + t. Factor x(h).
-(h - 2)*(h + 1)
Suppose 3*l = -l - 24. Let v be 0 - ((-3)/l + -1). Let -5/2*i**2 + 2*i**3 + v*i + 0 = 0. Calculate i.
0, 1/4, 1
Suppose 9/5*s - 12/5 + 3/5*s**2 = 0. Calculate s.
-4, 1
Factor -2*o**3 + 0*o - 4/5*o**2 + 0.
-2*o**2*(5*o + 2)/5
Let g = 241/5 - 48. Solve -g*j + 2/5*j**2 - 1/5*j**3 + 0 = 0.
0, 1
Suppose 233 = 2*n + 83. Determine h, given that 135*h**2 + 9*h**4 - n*h + 12 + 26*h + 84*h**3 - 156*h**4 - 35*h = 0.
-1, 2/7, 1
Suppose -5*d + 4*p - 20 = -0*p, -5*p + 25 = 4*d. Find m such that 2 + 3*m + 0 - m**3 + d = 0.
-1, 2
Let c(w) = 9*w**3 + 13*w**2 + 9*w + 5. Let u(g) = -10*g**3 - 14*g**2 - 10*g - 6. Let x(i) = 6*c(i) + 5*u(i). Factor x(v).
4*v*(v + 1)**2
Suppose -a + 5*d + 18 = 0, a = 6*a + 5*d. Solve 4/5*i - 2/5*i**a + 0 - 2/5*i**2 = 0.
-2, 0, 1
Factor -9/2 - 3/2*l**2 + 9/2*l + 1/6*l**3.
(l - 3)**3/6
Find g, given that -2/7*g**4 + 8/7*g - 6/7*g**3 + 0 + 0*g**2 = 0.
-2, 0, 1
Let a(g) be the third derivative of 0*g - 1/360*g**6 + 0 - 1/6*g**3 + 0*g**5 + 0*g**4 - 4*g**2. Let h(y) be the first derivative of a(y). Factor h(k).
-k**2
Suppose 32/7 + 2/7*r**2 - 16/7*r = 0. What is r?
4
Let k be -2 + 5 + (-4 - 0 - -1). Suppose -8/5*p**2 + 8/5*p + 2/5*p**3 + k = 0. What is p?
0, 2
Let r(c) be the third derivative of 0*c + 1/21*c**3 - 5*c**2 + 1/210*c**5 - 1/42*c**4 + 0. What is u in r(u) = 0?
1
Let x(i) be the first derivative of -4*i**3/3 + 8*i**2 - 12*i - 1. Determine d, given that x(d) = 0.
1, 3
Let h(p) = p**2 - 3*p - 7. Let y be h(5). Suppose -5 = -3*r - l, 15 = 3*r + r + y*l. What is n in 0 + 1/4*n**2 + 1/4*n**3 + r*n = 0?
-1, 0
Let c(g) be the second derivative of -g**9/22680 - g**8/2520 - g**7/756 - g**6/540 - g**4/2 - 5*g. Let x(m) be the third derivative of c(m). Factor x(j).
-2*j*(j + 1)**2*(j + 2)/3
Let r = 7 - 5. Factor -2*u**4 + r*u**3 + 7*u**4 - 2*u - u**4 - 2*u**4 - 2*u**2.
2*u*(u - 1)*(u + 1)**2
Factor -66*z**2 - 25 + 24*z**3 - 3*z**4 + 2 + 72*z - 4.
-3*(z - 3)**2*(z - 1)**2
Let p(n) be the first derivative of -n**7/21 + n**6/15 - 2*n + 2. Let b(g) be the first derivative of p(g). Factor b(m).
-2*m**4*(m - 1)
Let a = -3 - -6. Let i = 5 - a. Factor -t**i + t**4 - t**2 - 2 - 3*t + 3*t**3 + 3*t**2.
(t - 1)*(t + 1)**2*(t + 2)
Let w be 2/5 + 1/10. Let o(c) be the first derivative of w*c**4 + 0*c - 2/3*c**3 + 4 + 0*c**2. Factor o(q).
2*q**2*(q - 1)
Let a(k) be the first derivative of 1/6*k**3 + 1/8*k**4 + 0*k + 0*k**2 - 2. Let a(f) = 0. Calculate f.
-1, 0
Let x = -243 - -1272/5. Let 24/5*z**4 - 24/5 - 42/5*z**2 - 3*z**5 + x*z**3 - 84/5*z = 0. What is z?
-1, -2/5, 2
Let k(h) be the first derivative of -15/2*h**2 - 1 - 3/4*h**4 - 6*h - 4*h**3. Let k(n) = 0. What is n?
-2, -1
Let p(m) be the second derivative of 3*m**5/20 + 15*m**4/4 + 24*m**3 - 96*m**2 - 20*m. Solve p(v) = 0 for v.
-8, 1
Let r = -2/41 - -108/533. Factor -4/13*b**4 + 0 + 0*b**3 - 2/13*b + r*b**5 + 4/13*b**2.
2*b*(b - 1)**3*(b + 1)/13
Let t be 1/9 - (19/9 + -6). Suppose 3/2*h**3 + 1/2*h**t + 0 + h**2 + 0*h = 0. What is h?
-2, -1, 0
Let c(k) = -15*k**4 - 5*k**3 + 55*k**2 + 50*k - 75. Let v(y) = -22*y**4 - 8*y**3 + 83*y**2 + 74*y - 113. Let h(r) = -7*c(r) + 5*v(r). Factor h(d).
-5*(d - 2)*(d - 1)*(d + 2)**2
Suppose 8 = 25*n + 8. Factor 0 + n*c + 1/4*c**3 + 1/4*c**2 - 1/4*c**5 - 1/4*c**4.
-c**2*(c - 1)*(c + 1)**2/4
Let v(m) be the first derivative of -m**4 - 8*m**3/3 - 3. Find z such that v(z) = 0.
-2, 0
Suppose 3*m = -j - 5 - 5, m - 4 = -4*j. Factor -d**j - 1/3 + 1/3*d**3 + d.
(d - 1)**3/3
Let z(v) = -4*v**2 + 20*v - 19. Let s(b) = -1. Let l(n) = -3*s(n) + z(n). What is p in l(p) = 0?
1, 4
Let g(z) be the third derivative of 5*z**5/21 - 10*z**4/21 + 8*z**3/21 - 4*z**2. Factor g(f).
4*(5*f - 2)**2/7
Let c(f) be the second derivative of f**9/60480 + f**8/6720 + f**7/2016 + f**6/1440 - f**4/6 - 6*f. Let g(p) be the third derivative of c(p). Factor g(x).
x*(x + 1)**2*(x + 2)/4
Factor 2/13*h**3 + 4/13*h**2 + 0 + 2/13*h.
2*h*(h + 1)**2/13
Let v(y) = 2*y**3 + y**2. Let q be v(1). Factor 7*n**3 + 21*n**4 + n**3 + 0*n**3 - 2*n**q.
3*n**3*(7*n + 2)
Factor 1 + 5 - 6*v - 2*v**2 + 3 - v**2.
-3*(v - 1)*(v + 3)
Determine x, given that -6*x + 4*x + 5*x + 3*x**2 = 0.
-1, 0
Let w = 293 - 3191/11. Factor 12/11*k**4 - 28/11*k**3 - 2/11*k**5 + w*k**2 - 18/11*k + 4/11.
-2*(k - 2)*(k - 1)**4/11
Suppose 0 = -48*w + 13*w. Factor w*x + 2/11*x**2 + 0.
2*x**2/11
Suppose -10*s + 232 = 212. Suppose 4/7*b**3 - 2/7*b - 2/7 - 2/7*b**4 - 2/7*b**5 + 4/7*b**s = 0. Calculate b.
-1, 1
Let p(n) = -n**2 + 3*n + 2. Let h be p(3). What is d in 0*d**h - 2*d**2 - 5*d + 4 + 3*d = 0?
-2, 1
Suppose 4*n + n = 10. Factor y + 0*y**2 + y**2 + 0 - 2*y**n + 2.
-(y - 2)*(y + 1)
Let z(a) = -19*a**2 + 91*a - 30. Let y(u) = -37*u**2 + 183*u - 60. Let x(o) = 4*y(o) - 7*z(o). Find f, given that x(f) = 0.
1/3, 6
Suppose 5/2 - 3*l + 1/2*l**2 = 0. What is l?
1, 5
Let l = -10488936/202825 + -2/28975. Let a = l - -52. Factor -a*k**2 + 4/7*k - 2/7.
-2*(k - 1)**2/7
Let q(y) = 7*y + 11*y**2 - 5*y**3 + 4 - 4. Let b(s) = 0*s - 5*s**3 + 0*s + 2*s**3 + 6*s**2 + 4*s. Let g(h) = 7*b(h) - 4*q(h). Suppose g(k) = 0. What is k?
-2, 0
Let j(z) = -9*z + 11. Let b be j(1). Find c, given that 0 - 6*c**3 + 12/5*c**b + 24/5*c + 9/5*c**4 = 0.
-2/3, 0, 2
Let r(n) = 2*n**5 + 4*n**4 - 8*n**3 + 10*n**2. Let t(u) = u**3 - u**2. Let j(s) = -r(s) - 10*t(s). Determine k so that j(k) = 0.
-1, 0
Let g(l) = -l**3 + 8*l**2 + 5*l - 6. Let j be g(4). Let n = 236/3 - j. Determine k so that 1/3*k + n - 1/3*k**2 = 0.
-1, 2
Let m be (-2)/7 - 48/(-21). Find p such that -6*p + 2*p**m + 3*p + 5*p = 0.
-1, 0
Factor -2/7*q**3 + 0*q + 0 + 0*q**2.
-2*q**3/7
Let s(b) be the first derivative of b**7/21 - 2*b**6/15 + b**4/3 - b**3/3 - 