et p(z) = k*u(z) + 3*d(z). Find y, given that p(y) = 0.
-1, 0
Let d = 6 - 2. Let i(s) be the third derivative of 0*s + 0 + 0*s**3 - 1/72*s**d + s**2 - 1/180*s**5. Factor i(q).
-q*(q + 1)/3
Let u(z) be the third derivative of -z**6/120 - z**5/15 - z**4/6 + 4*z**2. Factor u(h).
-h*(h + 2)**2
Let t(r) = -6*r**4 + 3*r**3 - 3*r**2 - 4*r - 5. Suppose -m - 2*m - 17 = 2*f, 30 = -5*m - 5*f. Let x(b) = b**4 + b + 1. Let o(q) = m*x(q) - t(q). Factor o(p).
p*(p - 1)**3
Suppose 0*n + 3*n = k - 17, 5 = k + n. Let x = k + -6. Find d, given that x*d**4 - d**3 + 0*d**2 + 5*d**3 + 2*d**2 + 0*d**2 = 0.
-1, 0
Let r = 7 + -3. Let l(d) = -d**2 - 6*d + 4. Let k(m) = -m**2 + 1. Let u(s) = r*k(s) - l(s). Suppose u(x) = 0. What is x?
0, 2
Determine d so that 8/5 - d**3 - 6/5*d**2 + 4/5*d - 1/5*d**4 = 0.
-2, 1
Let g(x) = x**3 - 3*x**2 - 4*x. Let y be g(4). Suppose -2*w = 5*u - 6*u, 5*u + 4*w = 28. Find c, given that 2*c**2 - u*c - 3 + 5 + y = 0.
1
Let l(h) be the second derivative of 9*h**7/14 + 21*h**6/10 + 12*h**5/5 + h**4 - 5*h. Suppose l(j) = 0. Calculate j.
-1, -2/3, 0
Let o(a) be the second derivative of a**7/3780 - a**5/540 - a**3/3 - 3*a. Let w(d) be the second derivative of o(d). Factor w(z).
2*z*(z - 1)*(z + 1)/9
Let w(x) be the third derivative of -1/240*x**5 - 1/12*x**3 - 4*x**2 + 0 - 1/32*x**4 + 0*x. Find p, given that w(p) = 0.
-2, -1
Let p be (-4)/(-2) + (58 - 57). Let 0*g**2 - 1/4*g**4 - 3/4*g**p + 0 + g = 0. What is g?
-2, 0, 1
Let v = 13/42 - 1/7. Let j(p) be the second derivative of 1/10*p**5 + 2*p + v*p**4 + 0 - 2/3*p**3 + 0*p**2. Suppose j(a) = 0. What is a?
-2, 0, 1
Factor -15/4*w**2 - 3/4*w**4 + 9/4*w + 11/4*w**3 - 1/2.
-(w - 1)**3*(3*w - 2)/4
Solve -35*y - 72*y**2 + 101*y + 2*y**4 + 24*y**3 - 5*y**4 - 48 + 30*y = 0.
2
Suppose 27*c**4 - 45*c**4 + c**5 - 5*c**5 + 22*c**4 + 8*c**3 = 0. Calculate c.
-1, 0, 2
Let x(u) be the second derivative of -u**10/30240 - u**9/7560 - u**8/6720 + u**4/4 - 3*u. Let b(p) be the third derivative of x(p). Factor b(n).
-n**3*(n + 1)**2
Let w(a) = 4*a**3 - 6*a**2 - 2. Let q(v) = -v**3 + v**2 + v + 1. Let n(l) = 6*q(l) + w(l). Factor n(j).
-2*(j - 2)*(j + 1)**2
Let c be ((-2)/3)/((-1)/3). Suppose -v = c*v. Factor -p**4 + 2*p**4 + 9*p**2 + 7*p + 5*p**3 + 2 + v*p**4.
(p + 1)**3*(p + 2)
Let g(z) be the second derivative of 3*z**5/20 - z**4/2 + z**3/2 + 11*z. Factor g(u).
3*u*(u - 1)**2
Let j(g) = -g + 4. Let z be j(1). Factor 1/3*q**5 + 1/3*q - 4/3*q**2 - 4/3*q**4 + 0 + 2*q**z.
q*(q - 1)**4/3
Let h be (-11 - -1)/((-4)/(-4)). Let m be ((-1)/(-4))/(h/(-24)). Suppose -3/5*w**2 - m*w**4 + 0*w + 0 + 6/5*w**3 = 0. What is w?
0, 1
Suppose -5*b + 3*g = 19 + 2, 0 = 3*b + g + 7. Let t be 1/b - 19/(-21). Factor -2/7*i**2 + t*i - 2/7.
-2*(i - 1)**2/7
Suppose -2*j + 6 - 16 = -4*c, -3*j - 11 = -5*c. Let a(h) be the first derivative of 0*h**2 + 1 + 0*h - 1/12*h**3 - 1/16*h**c. Factor a(g).
-g**2*(g + 1)/4
Let f(x) = 7*x**2 + 4*x - 12. Let g(n) = 57*n**2 + 33*n - 96. Let b(w) = 33*f(w) - 4*g(w). Factor b(k).
3*(k - 2)*(k + 2)
Suppose 0 - 4/7*p**4 + 0*p + 4/7*p**3 - 8/7*p**5 + 0*p**2 = 0. Calculate p.
-1, 0, 1/2
Let j(p) = -4*p**3 + 4*p**2 + 3*p. Suppose -4*z + 25 = 9. Let d(f) = 5*f**3 - 5*f**2 - 4*f. Let x(y) = z*j(y) + 3*d(y). Let x(u) = 0. What is u?
0, 1
Let g(d) = 24*d**2 - 13*d + 5. Let o be (4/8)/((-3)/24). Let r(h) = 25*h**2 - 13*h + 6. Let y(j) = o*g(j) + 3*r(j). Determine a so that y(a) = 0.
2/7, 1/3
Let t(b) be the first derivative of b**6/51 - 12*b**5/85 + 9*b**4/34 - 8*b**3/51 - 3. What is s in t(s) = 0?
0, 1, 4
Factor 2*z + 3*z - 3*z - 2*z**2.
-2*z*(z - 1)
Let z = 3221583/116 - 27772. Let j = -1/58 + z. Factor j*y**3 - 1/4*y**5 + 0 + 1/4*y**4 - 1/4*y**2 + 0*y.
-y**2*(y - 1)**2*(y + 1)/4
Let t(v) be the third derivative of -v**7/945 + v**6/540 + v**5/270 - v**4/108 + 9*v**2. Factor t(l).
-2*l*(l - 1)**2*(l + 1)/9
Let g(r) = -r - 9. Let z be g(-11). Factor 3*n**2 - 4*n**2 - n + n**4 + z*n**3 - n**3.
n*(n - 1)*(n + 1)**2
Suppose 0 = -83*a + 88*a - 15. Let y(j) be the first derivative of 0*j**2 + 2/3*j**a + 1 + 0*j - 1/2*j**4. Factor y(t).
-2*t**2*(t - 1)
Suppose 3*o = -5*o. Factor -2/13*g**3 + 0*g**4 + 0*g + o*g**2 + 2/13*g**5 + 0.
2*g**3*(g - 1)*(g + 1)/13
Let s(d) be the third derivative of -d**6/1020 - d**5/255 - d**4/204 - 2*d**2. Factor s(f).
-2*f*(f + 1)**2/17
Let t be 3 + -1*(2 - -25). Let a be 12/3*(-4)/t. Determine z, given that -4/3*z**2 + a*z + 4/3*z**4 + 16/3*z**5 + 0 - 6*z**3 = 0.
-1, -1/2, 0, 1/4, 1
Let b be 8/3 - (-12)/(-6). Suppose -1/3*x**4 - b*x + 0*x**2 + 1/3 + 2/3*x**3 = 0. What is x?
-1, 1
Let w(r) be the first derivative of 3 - 1/12*r**3 + 1/8*r**2 + 0*r. Let w(v) = 0. What is v?
0, 1
Suppose -2/3 + 1/3*j + 1/3*j**2 = 0. What is j?
-2, 1
Let f(c) be the first derivative of c**7/180 - c**6/45 - c**5/45 + 2*c**3/3 + 1. Let k(b) be the third derivative of f(b). Factor k(y).
2*y*(y - 2)*(7*y + 2)/3
Factor 5*u**5 - 8*u**5 + 7*u**5.
4*u**5
Suppose -16 = -i + 3*k, 0*i + 4*k = -2*i - 8. Let r(w) be the third derivative of w**2 - 1/480*w**6 + 0*w + 1/96*w**i - 1/24*w**3 + 1/240*w**5 + 0. Factor r(h).
-(h - 1)**2*(h + 1)/4
Let x(k) be the third derivative of k**10/75600 + k**9/15120 + k**8/10080 + k**5/15 + 5*k**2. Let b(i) be the third derivative of x(i). Factor b(c).
2*c**2*(c + 1)**2
Let -2*d**4 + 0*d**4 - d**5 - 17*d + 18*d + 2*d**2 = 0. What is d?
-1, 0, 1
Let f(o) be the third derivative of -1/40*o**5 + 0*o**4 + 0*o + 3/80*o**6 + 1/224*o**8 + 0 + 0*o**3 - 3/140*o**7 + 2*o**2. Solve f(s) = 0.
0, 1
Find n such that -2*n**2 - 2*n**3 - n**2 - n**3 = 0.
-1, 0
Suppose -u = -3*u. Suppose 0 = -b + 2*x + 4, -2*b + u*b = -3*x - 7. Factor -1/5*n**b + 0 - 1/5*n**3 + 0*n.
-n**2*(n + 1)/5
Factor 18*j**3 - j**5 + 4*j + 0*j**5 - 14*j**2 - 10*j**4 + 3*j**5.
2*j*(j - 2)*(j - 1)**3
Suppose -4*l = -s, 4*l + 16 = 5*s - 0*s. Factor 5*g - s*g - 3*g**3 + 2*g**3 - 2*g**2 + 2.
-(g - 1)*(g + 1)*(g + 2)
Let s be -2*(-7 + 675/99). Factor 0 + 6/11*p**2 - 2/11*p**4 + s*p + 0*p**3.
-2*p*(p - 2)*(p + 1)**2/11
Let h(g) be the second derivative of g**6/30 - 3*g**5/50 - g**4/20 + 2*g**3/15 + g - 3. Determine o so that h(o) = 0.
-4/5, 0, 1
Let n(j) be the third derivative of j**6/20 + 2*j**5/15 - j**4/12 - 2*j**3/3 - 9*j**2. Determine y, given that n(y) = 0.
-1, 2/3
Let 5/2*v**3 + 3/2*v**2 + 0 - 9/2*v + 1/2*v**4 = 0. Calculate v.
-3, 0, 1
Let c(f) = 27*f**2 - 12*f - 1. Let h(u) = -u - 1. Let q be h(-5). Let d(x) = -14*x**2 + 6*x. Let n(v) = q*c(v) + 7*d(v). Factor n(k).
2*(k - 1)*(5*k + 2)
Let t = 186 + -16739/90. Let g(d) be the third derivative of -2*d**2 + 0*d**3 + 1/90*d**6 - t*d**5 - 1/315*d**7 + 0 + 0*d**4 + 0*d. Factor g(w).
-2*w**2*(w - 1)**2/3
Let t be (-476)/(-294) - 6/21. Determine z, given that -8/3*z + 0*z**3 - t*z**4 + 0 + 4*z**2 = 0.
-2, 0, 1
Let w(l) be the third derivative of -1/96*l**4 + 0*l**3 - l**2 + 0 + 0*l - 1/60*l**5. Suppose w(s) = 0. What is s?
-1/4, 0
Let 0*d**2 + 0 - 2/7*d**4 + 6/7*d**3 - 8/7*d = 0. Calculate d.
-1, 0, 2
Let x(a) be the third derivative of 0*a + 0 + 0*a**3 - 4*a**2 - 1/840*a**7 + 0*a**5 + 0*a**4 + 0*a**6. Suppose x(q) = 0. What is q?
0
Let n(w) be the third derivative of -w**6/120 - w**5/20 + w**4/24 + w**3/2 + 9*w**2. Solve n(o) = 0.
-3, -1, 1
Let r = -4 - -8. Suppose -7 - 6 = -5*y - u, -r*u - 23 = -5*y. Let 5*z**3 + 2*z**2 - 7*z**2 + y*z**2 = 0. What is z?
0, 2/5
Let f be (8/(-16))/((-2)/20). Find c such that -2/7*c**f + 0*c - 4/7*c**4 - 2/7*c**3 + 0 + 0*c**2 = 0.
-1, 0
Suppose -2*b + 10 + 2 = 0. Let y be (1/b)/((-3)/(-12)). Factor -2/3*n**2 + 0*n + y.
-2*(n - 1)*(n + 1)/3
Let l = -4499/30 - -150. Let m(b) be the third derivative of -1/3*b**3 + l*b**6 + 0 + 0*b - 4*b**2 - 1/6*b**5 + 1/3*b**4. Factor m(o).
2*(o - 1)**2*(2*o - 1)
Factor 9*y**3 + 3*y**3 + y - 2*y**2 - 10*y**3 - y**3.
y*(y - 1)**2
Let r(c) be the first derivative of 0*c + 8/27*c**3 - 1 + 5/6*c**4 - 4/9*c**2. Factor r(i).
2*i*(3*i + 2)*(5*i - 2)/9
Let q be ((-1)/11)/((-48)/176)*1. Let n(z) = -2*z - 2. Let a be n(-2). Factor -q*k**a - 2/3 + k.
-(k - 2)*(k - 1)/3
Let w = -27 + 27. Let v(s) = 3*s + 2. Let c be v(w). Determine b so that -4/3 + 2*b + 2/3*b**4 + 2/3*b**2 - c*b**3 = 0.
-1, 1, 2
Let n(q) be the second derivative of q**5/20 + q**4/4 - q**2/2 - 2*q. Let w(t) be the first derivative of n(t). Factor w(u).
3*u*(u + 2)
Let a(p) be 