 l be (-14)/((-1 - 0)*d). Find z, given that -2*z**3 - 5*z**3 - 2 + 2*z**2 + l*z + 0 = 0.
-1, 2/7, 1
Let q(z) be the second derivative of -z**7/14 + z**6/10 - 4*z. Let q(i) = 0. What is i?
0, 1
Let w(p) be the third derivative of -p**8/1596 + p**7/1995 + p**6/228 + p**5/285 + 23*p**2. What is z in w(z) = 0?
-1, -1/2, 0, 2
Let l be (-16)/35*((-5)/2 + 0). Solve 4/7 + 2/7*d**3 + l*d**2 + 10/7*d = 0.
-2, -1
Let o(b) = -b**3 + 5*b**2 + 5*b + 8. Let l be o(6). Suppose -1 = 2*n - 5. Factor 12*q**l + 0*q**3 - 12*q**4 - 2*q + q - n*q + 3*q**3.
-3*q*(q - 1)*(q + 1)*(4*q - 1)
Let v(o) be the third derivative of o**6/540 + o**5/90 - o**2. Find y, given that v(y) = 0.
-3, 0
Let q(s) be the second derivative of -4/21*s**3 + 0 - 4/7*s**2 - 1/42*s**4 + 8*s. Factor q(z).
-2*(z + 2)**2/7
Determine g so that -466 + 466 - 7*g**2 + 9*g**3 + g**2 - 3*g**4 = 0.
0, 1, 2
Let h(y) = y**5 - 8*y**4 - 3*y**3 + 2*y**2 - 4*y + 4. Let r(s) = -s**4 - s**3 - s**2 - s + 1. Let u(q) = h(q) - 4*r(q). What is x in u(x) = 0?
-1, 0, 2, 3
Let s(l) be the first derivative of 2*l**5/65 + 2*l**4/13 + 4*l**3/13 + 4*l**2/13 + 2*l/13 - 15. Factor s(t).
2*(t + 1)**4/13
Let w(p) be the second derivative of -p**4/72 + p**2/12 + 24*p + 1. Solve w(r) = 0.
-1, 1
Factor 21 - 4*u**2 - 6*u - 12 + u**2.
-3*(u - 1)*(u + 3)
Let -8/9*m + 8/9*m**2 + 0 + 2/9*m**3 - 2/9*m**4 = 0. What is m?
-2, 0, 1, 2
Let k(i) be the third derivative of -1/40*i**5 + 0 - 5*i**2 - 1/12*i**3 + 0*i + 1/16*i**4 + 1/240*i**6. Factor k(m).
(m - 1)**3/2
Let w = -2 + 7. Let q(p) = -64*p**2 + 32*p - 4. Let z(y) = 96*y**2 - 48*y + 6. Let m(x) = w*z(x) + 8*q(x). Factor m(k).
-2*(4*k - 1)**2
Suppose 2*x = -x. Suppose x = 2*a + 2 - 6. Factor 1/3*f**a + 4/3*f + 4/3.
(f + 2)**2/3
Suppose -7*n + 2*n + 5 = 2*w, -4*n + 32 = -4*w. Let x be ((-118)/(-295))/((-11)/(-5)). Factor -x*b**4 + 0*b + 0*b**n + 2/11*b**2 + 0.
-2*b**2*(b - 1)*(b + 1)/11
Let i(k) = -6*k**5 - k**5 - 6*k**3 - 2*k**3 + 3*k - 15*k**4. Let j(m) = -m**5 - m**4 + m. Let q(h) = -i(h) + 3*j(h). Factor q(u).
4*u**3*(u + 1)*(u + 2)
Let a(r) be the first derivative of -2/5*r**2 + 3 + 0*r + 2/15*r**3. Determine b so that a(b) = 0.
0, 2
Factor 1/5*k**2 + 2/5 - 3/5*k.
(k - 2)*(k - 1)/5
Let y(d) = -d**3 + d**2 - d - 1. Let f(k) = 3*k**3 - 3*k**2 + k + 3. Let t(r) = -f(r) - 2*y(r). Let t(a) = 0. What is a?
-1, 1
Let n be 3/(-18) - (-65)/270. Let a(t) be the first derivative of n*t**3 - 1/27*t**6 + 0*t + 2/15*t**5 + 0*t**2 + 2 - 1/6*t**4. Factor a(f).
-2*f**2*(f - 1)**3/9
Factor 244*l**2 - 109*l**3 - 288*l + 109*l**3 + 180*l**3 + 56 + 8 + 25*l**4.
(l + 4)**2*(5*l - 2)**2
Suppose -f = 3*f + 4. Let d be -2*(2 - 0)*f. Find i, given that -8*i**3 + 2*i**3 - 5*i**2 - 2*i**d - 2*i - i**2 = 0.
-1, 0
Let d = -2/561 + 1136/3927. Suppose 0 = -0*h - 5*h + 10. Factor 8/7*s**3 - 10/7*s**h + 0 + d*s.
2*s*(s - 1)*(4*s - 1)/7
Let y(n) be the third derivative of -n**6/420 + n**4/84 + 7*n**2. Factor y(t).
-2*t*(t - 1)*(t + 1)/7
Let h be 40/(-5)*(-2)/4. Suppose h*c - c = 0. Determine y so that -2/3 + 2/3*y**2 + c*y = 0.
-1, 1
Solve z**2 - 1/3*z**5 - z**4 + 0 + 2/3*z - 1/3*z**3 = 0 for z.
-2, -1, 0, 1
Let m(g) be the third derivative of -g**8/840 + g**7/140 - g**5/15 + g**3/6 + 3*g**2. Let x(f) be the first derivative of m(f). What is r in x(r) = 0?
-1, 0, 2
Let f(m) be the second derivative of 0 + 1/27*m**3 + 1/54*m**4 - m - m**2 + 1/270*m**5. Let b(q) be the first derivative of f(q). Factor b(z).
2*(z + 1)**2/9
Let w = 27 + -24. Find i, given that 1/4*i**2 + 0*i + 0 + 3/4*i**w = 0.
-1/3, 0
Let m = 8 - 3. Let o(b) = -b + 7. Let a be o(m). Find s such that 2/5*s**a + 0*s + 0 = 0.
0
Let x(f) = -10*f**2 + 12*f + 2. Let p(j) = -j**3 + j**2 - j - 1. Let q(r) = -2*p(r) - x(r). Factor q(l).
2*l*(l - 1)*(l + 5)
Let z(l) = -l**3 - l**2. Let b(n) = 2*n**4 + 5*n**3 + 11*n**2. Let r(j) = -2*b(j) - 18*z(j). Factor r(w).
-4*w**2*(w - 1)**2
Let l(m) = m - 2. Let u be l(5). Factor -2*r + 1 - r**u + 4*r + 1 - r**3 - 2*r**2.
-2*(r - 1)*(r + 1)**2
Factor 3/5*w**2 + 6/5*w - 6/5*w**3 - 3/5.
-3*(w - 1)*(w + 1)*(2*w - 1)/5
Let r(z) be the second derivative of z**7/189 - z**6/27 + z**5/10 - 7*z**4/54 + 2*z**3/27 - 4*z. Factor r(p).
2*p*(p - 2)*(p - 1)**3/9
Let i = 181/516 - 3/172. Solve 1/3 + 0*m - i*m**2 = 0 for m.
-1, 1
Let v(p) be the first derivative of 0*p - 1/4*p**6 + 2 - 3*p**4 + 0*p**2 + 2*p**3 + 3/2*p**5. Suppose v(y) = 0. Calculate y.
0, 1, 2
Let u(n) = 4*n**2 - 9*n + 5. Let m(s) = s**2 - 2*s + 1. Let r(v) = -18*m(v) + 4*u(v). Let r(x) = 0. Calculate x.
-1, 1
Suppose -b = -5*b. Let l(m) be the third derivative of 0*m - 1/24*m**3 + b + 0*m**4 + 1/240*m**5 - 2*m**2. Factor l(q).
(q - 1)*(q + 1)/4
Let p(r) be the first derivative of 2*r**6/11 - 34*r**5/55 + 15*r**4/22 - 2*r**3/11 - r**2/11 - 19. Factor p(n).
2*n*(n - 1)**3*(6*n + 1)/11
Let n(p) be the first derivative of -2*p**3/11 + 7*p**2/11 - 4*p/11 - 2. Factor n(h).
-2*(h - 2)*(3*h - 1)/11
Factor -1/2*v + 1/6 + 1/2*v**2 - 1/6*v**3.
-(v - 1)**3/6
Let c(s) be the third derivative of -s**9/4536 + s**7/1260 + s**3/2 - 2*s**2. Let d(l) be the first derivative of c(l). Factor d(r).
-2*r**3*(r - 1)*(r + 1)/3
Let i(k) = 16*k**3 - 6*k**2 + 4*k + 16. Let m(v) = 5*v**3 - 2*v**2 + v + 5. Let q(c) = 3*i(c) - 10*m(c). Factor q(j).
-2*(j - 1)**2*(j + 1)
Let t = 6 - -2. Let o be (-20)/(-6) + t/(-24). What is l in -l + l + 2 - 5*l**2 + o*l**2 = 0?
-1, 1
Let k be (-1)/(-4) + 55/20. Factor -6*g**2 - k*g**3 - 3 - 3*g + 3.
-3*g*(g + 1)**2
Factor 2/5*f**4 + 0 + 12/5*f - 2/5*f**2 - 12/5*f**3.
2*f*(f - 6)*(f - 1)*(f + 1)/5
Let j(k) be the first derivative of 0*k**3 + 0*k**2 + 1/18*k**4 + 2/45*k**5 + 7 + 0*k. Factor j(l).
2*l**3*(l + 1)/9
Let c(g) be the first derivative of g**7/840 + g**6/180 - g**5/120 - g**4/12 + g**3/3 + 1. Let z(o) be the third derivative of c(o). Factor z(p).
(p - 1)*(p + 1)*(p + 2)
Let x(k) be the third derivative of k**10/45360 - k**9/22680 + k**4/3 - 2*k**2. Let m(p) be the second derivative of x(p). Find j, given that m(j) = 0.
0, 1
Let s(r) be the third derivative of -r**8/264 + 26*r**7/1155 + r**6/660 - 2*r**5/15 - r**4/11 + r**2 - 22*r. Let s(u) = 0. Calculate u.
-1, -2/7, 0, 2, 3
Factor 0*c**3 - 2/11*c**4 + 0*c + 4/11*c**2 - 2/11.
-2*(c - 1)**2*(c + 1)**2/11
Let p(l) be the second derivative of l**5/5 - 5*l**4/3 + 16*l**3/3 - 8*l**2 + 7*l. Find n such that p(n) = 0.
1, 2
Let t(b) be the third derivative of -b**7/7560 + b**6/540 - b**5/90 - b**4/24 - b**2. Let n(i) be the second derivative of t(i). What is q in n(q) = 0?
2
Find q such that -84 + q**4 - 2*q**2 + 84 + q**4 = 0.
-1, 0, 1
Let f(s) be the first derivative of s**5/20 + s**4/6 - 2*s - 5. Let p(a) be the first derivative of f(a). Factor p(v).
v**2*(v + 2)
Let j be 6 - 525/49 - -5. Suppose j*c + 0 - 2/7*c**3 + 0*c**2 = 0. Calculate c.
-1, 0, 1
Suppose 9*k - 20 = 4*k. Suppose 0 = 2*h - k*h. Factor h*a + 0 - 8/5*a**4 - 4/5*a**2 + 2*a**3 + 2/5*a**5.
2*a**2*(a - 2)*(a - 1)**2/5
Let y = 37/2 + -18. Suppose -v - 6 = -8. Factor i**3 - 1/2 + 3/2*i**4 - i**v - 3/2*i + y*i**5.
(i - 1)*(i + 1)**4/2
Suppose 2*s**4 - 2*s**4 + 5*s**5 + 11*s**3 - 36*s**3 + 5*s**4 + 15*s**2 = 0. Calculate s.
-3, 0, 1
Let k = 2 + 1. Let r = k + 1. Factor d**4 - 2*d**r + 0*d**4 + 3*d**3 - 3*d**2 + d.
-d*(d - 1)**3
Let a(f) be the first derivative of f**4/12 - f**3/3 + f**2/2 + 4*f - 2. Let b(p) be the first derivative of a(p). Factor b(i).
(i - 1)**2
Let c(b) be the first derivative of -2*b**5/15 - 2*b**4/3 - 8*b**3/9 - 10. Factor c(z).
-2*z**2*(z + 2)**2/3
Let z(y) be the second derivative of -1/2*y**3 + 0 - 1/12*y**4 + y**2 - 5*y + 3/20*y**5 - 1/30*y**6. Factor z(k).
-(k - 2)*(k - 1)**2*(k + 1)
Let h(k) be the third derivative of -1/30*k**4 + 8*k**2 + 0*k + 1/150*k**5 - 1/5*k**3 + 0. Factor h(n).
2*(n - 3)*(n + 1)/5
Let g(n) be the second derivative of -n**4/12 + n**3/3 + 2*n. Factor g(t).
-t*(t - 2)
Let q(m) = 2*m**2 - 4*m + 1. Let c(f) = -f**3 + f**2 + f. Let p = 4 - 2. Suppose p*d - 1 = -3. Let b(a) = d*c(a) - q(a). Factor b(i).
(i - 1)**3
Let q(l) be the first derivative of -3 + 0*l**2 + 1/54*l**4 - 1/27*l**3 - l. Let g(x) be the first derivative of q(x). Solve g(d) = 0 for d.
0, 1
Let o be (30/(-825))/((-28)/(-10) - 3). Suppose -4/11*k**2 + o*k**3 - 2/11*k + 4/11 = 0. What is k?
-1, 1, 2
Let n(v) be the first derivative of v**5/2