
-2*o**5/7
Let q(x) be the first derivative of 2*x**5/45 - x**4/6 + 2*x**3/9 - x**2/9 + 1. Suppose q(h) = 0. Calculate h.
0, 1
Suppose 3*a + 30 = 2*u, -3*a = u - 4*u + 27. Let o be (4/16)/((-2)/a). Factor o*b + b**2 + 1/2.
(b + 1)*(2*b + 1)/2
Let k(r) be the first derivative of 3*r**4/4 - 6*r**3 + 33*r**2/2 - 18*r + 26. Suppose k(l) = 0. Calculate l.
1, 2, 3
Let d = 7 - 7. Factor d*h + 9 - h + h**2 - 5*h + 0*h**2.
(h - 3)**2
Let j be (3*(-3)/9)/(-3 + -1). Factor -1/2*y**2 + 0*y + 0 + j*y**3.
y**2*(y - 2)/4
Suppose -20*x**3 + 7*x**4 + 2*x**5 - 7*x**4 + 18*x**3 = 0. Calculate x.
-1, 0, 1
Let q(z) be the second derivative of -z**6/21 + z**5/35 + 5*z**4/42 - 2*z**3/21 - 23*z. Find i such that q(i) = 0.
-1, 0, 2/5, 1
Let i(j) = j**3 + 2*j**2 + 4. Let y be i(-3). Let w = 8 + y. Factor w*t + 0*t**2 - t + 4 - 2*t**2.
-2*(t - 2)*(t + 1)
Suppose 2*x + x = 4*z + 580, -586 = -3*x + z. Let a = 1374/7 - x. Find u, given that -2/7*u**3 + 0 - 2/7*u**4 + 2/7*u + a*u**2 = 0.
-1, 0, 1
Let o = 422/1379 + -4/197. Let -o*s - 6/7*s**2 + 4/7 = 0. Calculate s.
-1, 2/3
Let z(j) = -j**4 - j**3. Let n(v) = -14*v**4 - 8*v**3 - 4*v + 2. Let k(o) = n(o) - 12*z(o). Factor k(u).
-2*(u - 1)**3*(u + 1)
Let z(s) be the first derivative of -s**7/42 + s**6/30 - 2*s + 3. Let q(a) be the first derivative of z(a). Solve q(j) = 0 for j.
0, 1
Let f be (-3 - 1)/1 - (-62)/15. Let u(j) be the first derivative of -f*j**6 + 0*j**2 + 0*j**3 + 1/10*j**4 + 0*j - 2/25*j**5 + 2. Find m, given that u(m) = 0.
-1, 0, 1/2
Let r(x) = -11*x**5 - 5*x**4 + 5*x**3 + 5*x + 5. Let n(s) = -17*s**5 - 8*s**4 + 8*s**3 + 8*s + 8. Let m = -7 + -1. Let q(h) = m*r(h) + 5*n(h). Solve q(c) = 0.
0
Suppose 5*b - 2*b - 15 = 0. Let g(c) be the third derivative of 2*c**2 + 0*c**4 + 0*c**3 - 1/120*c**6 + 1/60*c**b + 0 + 0*c. Solve g(f) = 0 for f.
0, 1
Solve 21*w + 5*w**2 + 27*w - 13*w + 30 = 0 for w.
-6, -1
Let d(y) = 4*y**2 - 8*y - 9. Let r(p) = -p**2 + 2*p + 2. Let x(j) = -2*d(j) - 9*r(j). Factor x(u).
u*(u - 2)
Let s be (2/4)/(23 - 13). Let k(t) be the first derivative of s*t**5 + 0*t + 1/12*t**3 - 1 + 0*t**2 + 1/8*t**4. Factor k(d).
d**2*(d + 1)**2/4
Let s be -1 + (-44)/(-9)*6. Let u = s - 929/33. Determine p, given that -6/11*p**3 - 10/11*p**2 + 6/11*p + 8/11*p**4 + u = 0.
-1, -1/4, 1
Let u(k) be the first derivative of -5*k**3/3 + 10*k**2 - 15*k - 15. Factor u(v).
-5*(v - 3)*(v - 1)
Let v = -1/18 + 5/9. Let o be ((-14)/(-70))/(8/10). Solve 0 - o*d**3 - 1/4*d - v*d**2 = 0.
-1, 0
Let o be -17 + (-3)/(0 + 3). Let b be -1 + 2/(o/(-15)). Factor -2/3*x**3 + 2/3*x**2 + 0 + b*x - 2/3*x**4.
-2*x*(x - 1)*(x + 1)**2/3
Factor 0*p + 0 + 2/7*p**2.
2*p**2/7
Find w, given that -6*w**2 - 8*w**2 + 12*w + 12*w + 10*w**2 - 32 = 0.
2, 4
Let a = -38/3 - -13. Let i(h) be the second derivative of -a*h**3 + 0 - 2*h + 0*h**2 - 1/6*h**4. Factor i(f).
-2*f*(f + 1)
Let l(o) be the second derivative of o**4/4 - o**3 - 9*o**2/2 - 7*o. What is n in l(n) = 0?
-1, 3
Let b(s) be the first derivative of s**8/1344 - s**6/240 + s**4/96 + 3*s**2/2 + 3. Let j(l) be the second derivative of b(l). Factor j(m).
m*(m - 1)**2*(m + 1)**2/4
Factor 10/3 - 2/3*s**2 + 8/3*s.
-2*(s - 5)*(s + 1)/3
Let m(u) be the first derivative of 2*u**5/45 - u**4/9 - 2*u**3/9 + 4*u**2/9 + 8*u/9 - 1. Determine n, given that m(n) = 0.
-1, 2
Let t be (-2)/(-2 - (-8)/3). Let w be 0 + -1 + 4 + t. Find h, given that w*h**2 + 0*h - 2/5*h**4 + 0 + 0*h**3 = 0.
0
Let r(f) be the first derivative of -f**6/195 + f**5/26 - 3*f**4/26 + 7*f**3/39 - 2*f**2/13 - 3*f + 2. Let z(l) be the first derivative of r(l). Factor z(n).
-2*(n - 2)*(n - 1)**3/13
Let f(o) be the third derivative of -o**7/10080 - o**6/1440 - o**5/480 + o**4/8 + 2*o**2. Let c(s) be the second derivative of f(s). Factor c(g).
-(g + 1)**2/4
Find c such that -1/4*c**2 + 3/4*c + 0 = 0.
0, 3
Let m(q) be the first derivative of q**6/12 + q**5/5 - 16. Factor m(s).
s**4*(s + 2)/2
Let m(h) be the second derivative of -h**4/84 + 5*h**3/42 - 2*h**2/7 + 13*h. Solve m(q) = 0 for q.
1, 4
Let g(b) = b**3 + b**2 + 1. Let x(p) = 14*p**3 + 2*p**2 + 16*p + 4. Let k(i) = 12*g(i) - x(i). Factor k(v).
-2*(v - 2)**2*(v - 1)
Let n be 32/(-80)*2/6. Let z = n + 19/30. Factor z*r**2 + 1/2*r**4 - 1 + 3/2*r - 3/2*r**3.
(r - 2)*(r - 1)**2*(r + 1)/2
Let r(p) be the first derivative of -4*p**3/3 - 4. Let r(y) = 0. What is y?
0
Let n(z) be the first derivative of 1/10*z**5 + 1/8*z**4 - 1/24*z**6 + 7/8*z**2 - 4 - 1/2*z - 2/3*z**3. Factor n(r).
-(r - 1)**4*(r + 2)/4
Let w = 56/5 + -11. Solve 0*l**2 + 0 + 2/5*l**3 + 0*l**4 - 1/5*l - w*l**5 = 0 for l.
-1, 0, 1
Factor -25 + 2*a**5 + 25 - 3*a**5.
-a**5
Let x(s) be the first derivative of -3*s**6 + 0*s + 4*s**2 + 5/2*s**4 + 3 + 8*s**3 - 24/5*s**5. Suppose x(u) = 0. Calculate u.
-1, -2/3, 0, 1
Factor -2/11*y**3 + 0*y + 0 + 0*y**2.
-2*y**3/11
Let l = 9 + -7. Factor 18*s**2 - 27*s**4 - 27*s**3 + 18*s - l + 4*s + 10 + 6*s.
-(s - 1)*(3*s + 2)**3
Let f be (156/351)/(1 + (-2)/6). Let b(t) be the first derivative of -1/2*t**4 - f*t**3 + 3/2*t**2 + 4 - t + 3/5*t**5 - 1/6*t**6. Solve b(j) = 0 for j.
-1, 1
Let b(r) = -5*r**2 + 5*r - 2. Let w(j) = -4*j**2 - 3 - 2*j**2 + 6*j + 0*j**2. Let s(z) = 3*b(z) - 2*w(z). Factor s(c).
-3*c*(c - 1)
Let g(k) be the third derivative of k**6/480 + k**5/60 + k**4/32 + 29*k**2. Factor g(m).
m*(m + 1)*(m + 3)/4
Let w be ((-2)/(-1))/(2/4). Suppose -u = 3*t - 0*u - 2, -2*u + 2 = 5*t. Factor -2*v**2 - v + 0*v**2 + w*v**t - v.
2*v*(v - 1)
Let s(r) be the first derivative of -4*r**5/5 + 3*r**4 - 8*r**2 + 3. Factor s(h).
-4*h*(h - 2)**2*(h + 1)
Let r(y) = 17*y + 699. Let a be r(-41). Factor -2/5*c**a - 8/5*c + 0.
-2*c*(c + 4)/5
Factor 0*v - 6/19*v**2 - 4/19*v**3 + 0 + 2/19*v**4.
2*v**2*(v - 3)*(v + 1)/19
Let 15*l + 0*l**2 + 20 - 5/4*l**3 = 0. Calculate l.
-2, 4
Suppose -2*r + 6 + 2 = 0. Determine s so that 1/4*s**r - 1/4*s**2 + 0 + 0*s**3 + 0*s = 0.
-1, 0, 1
Let f(o) be the first derivative of -3*o**5/10 + 3*o**4/2 - 3*o**3 + 3*o**2 - 3*o/2 + 5. Factor f(l).
-3*(l - 1)**4/2
Let b(m) be the third derivative of -m**7/70 - m**6/10 - m**5/4 - m**4/4 - 12*m**2. Factor b(y).
-3*y*(y + 1)**2*(y + 2)
Let l(j) be the first derivative of j**4/10 + 8*j**3/15 + j**2 + 4*j/5 + 9. Determine q, given that l(q) = 0.
-2, -1
Let o(u) be the first derivative of -u**6/540 + u**5/270 + u**4/54 - u**2/2 - 5. Let j(f) be the second derivative of o(f). Factor j(h).
-2*h*(h - 2)*(h + 1)/9
Suppose 2*g = -x - 6, 0 = -3*g - 3*x + 5*x + 5. Let v(q) = 3*q**2 + 2*q + 1. Let c(j) = j**2. Let b(z) = g*v(z) + 2*c(z). Solve b(k) = 0.
-1
Let h(d) = 2*d**2 - 6*d. Let p(c) = c**2. Let i(b) = h(b) - 5*p(b). Factor i(j).
-3*j*(j + 2)
Let i = 9 + -5. Suppose i*b = -0*b + 12. Factor -12*y**4 + 14*y**4 + 2*y - b*y**2 - 2*y**3 + y**2.
2*y*(y - 1)**2*(y + 1)
Let c(x) = x - 5. Let y be c(8). Find p such that -2*p**4 - p**4 - p**3 + 5*p**4 - 4*p**2 - p**y = 0.
-1, 0, 2
Let b(f) = -4*f**3 + 2*f**2 - 8*f + 1. Let x(p) = p**3 + p**2 + 1. Let j(i) = -b(i) - 3*x(i). Let j(r) = 0. What is r?
1, 2
Let r(u) = -3*u**3 + 40*u**2 - 43*u - 180. Let h(b) = b**3 - 20*b**2 + 21*b + 90. Let w(a) = -13*h(a) - 6*r(a). Factor w(y).
5*(y - 2)*(y + 3)**2
Let f(b) be the first derivative of -b**7/42 + b**5/10 - b**3/6 - 4*b - 2. Let w(m) be the first derivative of f(m). Solve w(v) = 0 for v.
-1, 0, 1
Suppose 4*s - s = 0. Let t(o) be the second derivative of 1/42*o**4 + s + 0*o**2 - o + 1/21*o**3. Factor t(b).
2*b*(b + 1)/7
Let p(n) be the second derivative of 16*n**6/45 - 8*n**5/15 - n**4/18 + n**3/9 + 6*n. Find g, given that p(g) = 0.
-1/4, 0, 1/4, 1
Let j(p) be the third derivative of -p**8/6720 + p**5/30 - 3*p**2. Let a(t) be the third derivative of j(t). Suppose a(g) = 0. What is g?
0
What is t in 1/8*t**3 - 1/4*t**2 + 1/8*t**4 + 0 + 0*t = 0?
-2, 0, 1
Factor -5*k**3 + 2*k - 22*k + 40*k**2 - 24*k**2 + 9*k**2.
-5*k*(k - 4)*(k - 1)
Let c(g) be the second derivative of g**4/6 - 2*g**3/3 + g - 22. Factor c(m).
2*m*(m - 2)
Let l(b) be the third derivative of -2*b**7/105 - b**6/10 + b**5/3 + b**4/2 - 8*b**3/3 - 22*b**2. Find g, given that l(g) = 0.
-4, -1, 1
Solve 18*a**4 - 12*a**4 - 33*a**2 - 12*a**5 - 6*a**3 + 18*a + 27*a**4 = 0.
-1, 0, 3/4, 1, 2
What is s in 2/3*s + 0 - 4/3*s**2 + 2/3*s**3 = 0?
0, 1
Let h(c) be the third derivative of 0*c - 1/210*c**7 - 2/5*c**5 - 4*