Suppose -1/2*z - 9/4*z**3 - 7/4*z**2 - 5/4*z**4 - v*z**5 + 0 = 0. What is z?
-2, -1, 0
Let a(w) be the first derivative of w**6/27 - w**4/18 - 4. Solve a(y) = 0.
-1, 0, 1
Let r(g) be the second derivative of -g**7/42 - g**6/10 - 3*g**5/20 - g**4/12 - 10*g. Factor r(o).
-o**2*(o + 1)**3
Suppose -5*g + 10 = 0, 5*g - 10 = -u - 0. Let p(a) be the third derivative of a**2 + 0*a**4 + 0 + 1/30*a**5 - 1/120*a**6 + u*a + 0*a**3. Factor p(z).
-z**2*(z - 2)
Let b = -74/27 - -220/81. Let k = b + 89/324. Factor -1/4*j**3 - 1/4*j**2 + 1/4 + k*j.
-(j - 1)*(j + 1)**2/4
Let a(s) = -s**2 + 4*s + 5. Let q be a(5). Suppose q = -4*r + 12 + 4. Factor -r - h**3 - h**4 + 2*h**3 - h + h**2 + 4.
-h*(h - 1)**2*(h + 1)
Suppose -g = 4*z - 3*g + 6, -5*g + 15 = -5*z. Let v(q) be the third derivative of -2*q**2 + 0*q + z + 1/3*q**3 - 1/30*q**5 + 0*q**4. Solve v(f) = 0.
-1, 1
Let l = 376 - 1878/5. Factor 0*h + 0*h**2 + l*h**4 + 0 + 2/5*h**3 - 4/5*h**5.
-2*h**3*(h - 1)*(2*h + 1)/5
Let r be (18/(-4))/(3/(-6)). Factor 0*w + 5*w**2 + 3*w + r*w - w**2.
4*w*(w + 3)
Factor 0*p**3 + 0*p - 4/7 + 8/7*p**2 - 4/7*p**4.
-4*(p - 1)**2*(p + 1)**2/7
Let n(i) = -5*i**3 + i**2 + 3. Let f(g) = -6*g**3 + 4. Let c(v) = -3*f(v) + 4*n(v). Factor c(k).
-2*k**2*(k - 2)
Let p(j) be the third derivative of -3*j**5/80 + 11*j**4/96 - j**3/12 + 28*j**2. Factor p(r).
-(r - 1)*(9*r - 2)/4
Let s(q) = 2*q**5 + 4*q**4 - 4*q**3 + 6*q - 6. Let m(u) = -u**4 - u + 1. Let v(o) = -6*m(o) - s(o). Suppose v(w) = 0. Calculate w.
-1, 0, 2
Suppose 15 = 7*z - 6. Determine b, given that -5/4*b - 1/4*b**4 + 1/2 + 1/4*b**z + 3/4*b**2 = 0.
-2, 1
Suppose t + 11*t - 4*t**2 + 0*t**2 - 4 - 4 = 0. What is t?
1, 2
Let s(w) be the third derivative of w**7/1890 - 7*w**6/1080 + w**5/36 - w**4/24 + 30*w**2. Factor s(m).
m*(m - 3)**2*(m - 1)/9
Let f(j) be the second derivative of j**4/3 - 16*j**3/3 + 32*j**2 + 8*j. Solve f(d) = 0.
4
Let r(t) be the second derivative of t**7/7560 + t**6/1080 - t**4/12 - 2*t. Let i(x) be the third derivative of r(x). Determine q, given that i(q) = 0.
-2, 0
Solve -2/3*b**4 + 2/3*b**5 + 4/3*b**2 + 2/3*b - 2/3 - 4/3*b**3 = 0 for b.
-1, 1
Let r(m) = 12*m**3 + 38*m**2 + 12*m. Let h(p) = -4*p**3 - 13*p**2 - 4*p. Let o(g) = -14*h(g) - 5*r(g). Factor o(v).
-4*v*(v + 1)**2
Let t(h) be the second derivative of -3*h + 0*h**5 + 0 + 1/90*h**4 + 0*h**3 + 0*h**2 - 1/225*h**6. Suppose t(p) = 0. Calculate p.
-1, 0, 1
Let s(x) be the second derivative of -x**6/10 - 3*x**5/5 - 5*x**4/4 - x**3 - 10*x. Factor s(b).
-3*b*(b + 1)**2*(b + 2)
Factor -172*m**3 - 2*m**5 + 4*m**4 - 4*m**2 + 176*m**3 - 2*m**5.
-4*m**2*(m - 1)**2*(m + 1)
Find z such that 2*z**2 + 9/2 + 39/4*z - 4*z**3 = 0.
-3/4, 2
Let l = 4 + -4. Suppose -2*a + 3 + 1 = l. Solve 3 - 5 + 6 + 7*z**a + 16*z + 0*z**2 = 0 for z.
-2, -2/7
Let q(a) be the first derivative of 4*a**5/45 - 5*a**4/18 + 2*a**3/27 + 2*a**2/9 + 11. Find h, given that q(h) = 0.
-1/2, 0, 1, 2
Let r(q) = q**3 + 11*q**2 - 19*q + 7. Let g(j) = 4*j**2 - 6*j + 2. Let v(f) = -7*g(f) + 2*r(f). Factor v(x).
2*x*(x - 2)*(x - 1)
Let s(c) be the third derivative of c**8/100800 - c**7/25200 - c**5/30 - 4*c**2. Let h(j) be the third derivative of s(j). Let h(l) = 0. Calculate l.
0, 1
Let w(o) = o**3 + 8*o**2 + o + 11. Let h be w(-8). Suppose 0 = h*y - 2*y, 0 = -2*r - 5*y. Suppose -1/4*f**2 + r*f + 0 - 1/4*f**4 - 1/2*f**3 = 0. What is f?
-1, 0
Let r(v) be the second derivative of -v**5/80 - v**4/12 - 5*v**3/24 - v**2/4 - 8*v. Factor r(c).
-(c + 1)**2*(c + 2)/4
Factor -3*a**2 + 12 - 66*a - 9*a**2 - 6*a - 27*a**2.
-3*(a + 2)*(13*a - 2)
Let n(d) be the second derivative of d**7/168 - d**6/120 - d**5/80 + d**4/48 + 4*d. Suppose n(x) = 0. What is x?
-1, 0, 1
Suppose 4 = 6*q - 8. Let w(c) be the third derivative of -1/21*c**4 - c**q + 0*c**3 - 1/420*c**6 + 0*c + 2/105*c**5 + 0. Let w(v) = 0. Calculate v.
0, 2
Let c be (-12)/17 + (7 - 6). Let q = 19/51 + c. Factor -2/3*z + 2/3*z**3 - 2/3 + q*z**2.
2*(z - 1)*(z + 1)**2/3
Let f(i) be the third derivative of -3/100*i**6 + 0*i**3 + 0*i - 1/560*i**8 - 1/25*i**5 + 0 - 2/175*i**7 - 1/40*i**4 - 8*i**2. Find a such that f(a) = 0.
-1, 0
Let u(d) = -d**3 + 3*d**2 + 12*d - 30. Let w be u(4). Factor 0 + 0*a - 2/7*a**3 + 0*a**w - 2/7*a**4.
-2*a**3*(a + 1)/7
Determine g, given that 2/7*g**5 - 2/7*g**4 - 4/7*g**3 - 2/7 + 2/7*g + 4/7*g**2 = 0.
-1, 1
Let w = 27/232 - -1/116. Let i(j) be the second derivative of 0 + 0*j**2 + j - w*j**4 + 1/12*j**3 + 1/20*j**5. Factor i(u).
u*(u - 1)*(2*u - 1)/2
Suppose -6*u + u = -15. Suppose -u*h + 0 + 6 = 0. Suppose -h*r + 5*r**4 - 2*r**2 - 4*r**4 - 2*r**3 + r**4 + 4*r = 0. What is r?
-1, 0, 1
Determine w, given that -5/4*w**2 + 5/4 - 5/4*w + 5/4*w**3 = 0.
-1, 1
Let f(n) be the first derivative of n + 1/50*n**5 + 0*n**2 + 0*n**4 - 1/15*n**3 - 2. Let i(d) be the first derivative of f(d). Factor i(m).
2*m*(m - 1)*(m + 1)/5
Let p(q) = q**4 - q - 1. Let v = -5 + -7. Let y(j) = 2*j**5 + 12*j**4 - 4*j**3 - 10*j - 12. Let m(i) = v*p(i) + y(i). Factor m(k).
2*k*(k - 1)**2*(k + 1)**2
Let t(i) be the first derivative of 3*i**5/35 + 9*i**4/28 + i**3/7 - 9*i**2/14 - 6*i/7 - 24. Find f such that t(f) = 0.
-2, -1, 1
Let b(g) be the first derivative of 3/5*g**2 - 9/5*g - 1/15*g**3 + 4. Factor b(f).
-(f - 3)**2/5
Let l be 2/(-9) - 76/(-18). Suppose -l*v = -v. Factor -6*m + 3 + v*m**3 + 2*m**3 + m**3 + 3*m - 3*m**2.
3*(m - 1)**2*(m + 1)
Let -3/2*x**2 + 0 + 0*x + 1/2*x**3 = 0. Calculate x.
0, 3
Let j be (-18)/(-210) + (-1)/(-5). Let s = j + 3/14. Factor -5*o - s - 25/2*o**2.
-(5*o + 1)**2/2
Let n(z) = -7*z**2 + 3*z**2 + 1 - 7. Let b(y) = -2*y**2 + 1 - 3 - 3 - y**2. Let m(u) = 6*b(u) - 5*n(u). Factor m(p).
2*p**2
Let c(s) be the first derivative of -s**9/1008 + s**7/280 + 2*s**3/3 + 1. Let v(p) be the third derivative of c(p). Find l such that v(l) = 0.
-1, 0, 1
Factor -k**2 - 7/3*k - 2/3.
-(k + 2)*(3*k + 1)/3
Factor -2*y**3 + 19*y + y - 8 - 16*y**2 + 6*y**3.
4*(y - 2)*(y - 1)**2
Let x(m) be the third derivative of -1/1512*m**8 + 1/36*m**4 + 0 - 1/315*m**7 + 0*m + 9*m**2 + 1/135*m**5 + 1/27*m**3 - 1/270*m**6. Factor x(u).
-2*(u - 1)*(u + 1)**4/9
Let r(h) be the third derivative of -h**10/45360 - h**9/22680 + 5*h**4/24 + 5*h**2. Let w(i) be the second derivative of r(i). Find k, given that w(k) = 0.
-1, 0
Let c(s) = -s**3 + 8*s**2 + 5. Let n be c(8). Suppose -3*o + 1 = -n. Find k such that o - 2*k**3 - 1 - k**4 + 0*k + 2*k = 0.
-1, 1
Let v(s) = -s**3 + s**2 - 2. Let i(g) = 5*g**3 - 3*g**2 + 9. Let r(u) = 2*i(u) + 9*v(u). Factor r(q).
q**2*(q + 3)
Suppose 5*a - 10 = -4*b, -4*b = -b + a - 2. Suppose b = i - 3*i - 3*u, 2*i + u = 4. Factor 0 + 2/7*o**5 - 4/7*o**4 - 2/7*o + 0*o**i + 4/7*o**2.
2*o*(o - 1)**3*(o + 1)/7
Let f(s) be the third derivative of s**6/120 + s**5/30 + s**4/24 + 9*s**2. Suppose f(g) = 0. What is g?
-1, 0
Let u(o) be the first derivative of o**4/8 - o**3/4 - 3*o**2/2 - 6*o - 2. Let c(s) be the first derivative of u(s). Solve c(v) = 0.
-1, 2
Factor 2*o + 1824 - 5*o**2 - 1824.
-o*(5*o - 2)
Let c(q) be the first derivative of -2/7*q + 3/14*q**4 - 2/21*q**3 + 4/35*q**5 - 3/7*q**2 + 4. Let c(p) = 0. Calculate p.
-1, -1/2, 1
Let s(z) be the first derivative of -z**3 + 3*z - 4. Let p(x) be the first derivative of -x**3/3 + x + 1. Let o(w) = -17*p(w) + 6*s(w). Solve o(v) = 0.
-1, 1
Let i(z) be the first derivative of -z**2 + 0*z + 2/3*z**3 + 3. Factor i(n).
2*n*(n - 1)
Suppose -512/17 + 64/17*q - 2/17*q**2 = 0. What is q?
16
Suppose 0*h - 2*h = 0. Let i(g) be the second derivative of 2*g + 0*g**2 + 1/18*g**4 - 1/10*g**5 + 0 - 1/63*g**7 + 1/15*g**6 + h*g**3. Factor i(f).
-2*f**2*(f - 1)**3/3
Let s = 268 - 802/3. Factor 4/3*j + s*j**2 - 2.
2*(j - 1)*(j + 3)/3
Let s(f) be the third derivative of 0 + 0*f + 1/140*f**7 - 1/60*f**5 - 1/672*f**8 + 1/16*f**4 - 1/120*f**6 - 1/12*f**3 + f**2. Factor s(i).
-(i - 1)**4*(i + 1)/2
Let z(j) = j**2 + 3*j + 2. Let y be z(-3). Let n be (-3 + (-2)/(-1))*-2. Let -6*s - 4*s**3 + 2*s**y + 2*s**3 + 4*s**2 + n + 0 = 0. What is s?
1
Let b(u) be the second derivative of -7*u**5/4 + 5*u**4 + 10*u**3/3 + 15*u. Factor b(l).
-5*l*(l - 2)*(7*l + 2)
Let y(l) be the first derivative of l**6/14 + 6*l**5/35 - 2*l**3/7 - 3*l**2/14 + 4. Factor y(s).
3*s*(s - 1)*(s + 1)**3/7
Let f(o) = -o**2 + 7*o + 6. Let d(a) = a**2 - 7*a - 7. Let b(c) = 2*d(c) + 3*