3/4*c**4 + 1/10*c**5 + 3/2*c**3. Factor u(l).
l*(l - 4)*(l - 1)**2/2
Let z(b) = -b**2 - 7*b - 3. Let f be z(-6). Let y(s) be the first derivative of -1/5*s**5 + s - 1/2*s**4 + s**2 - 2 + 0*s**f. Factor y(c).
-(c - 1)*(c + 1)**3
Suppose -s - 3*z - 4 - 2 = 0, -4*s - 4*z = 0. Let 30/7*f**s + 2*f**5 + 38/7*f**4 + 2/7*f**2 + 0 - 4/7*f = 0. Calculate f.
-1, 0, 2/7
Factor -10/3*s**2 - 34/3*s - 4.
-2*(s + 3)*(5*s + 2)/3
Let l be 18/(-45) - 69/(-60). Factor 3/2*t**2 - 3/2*t**3 - 3/4*t**4 + 3/4*t - l + 3/4*t**5.
3*(t - 1)**3*(t + 1)**2/4
Let g(h) be the third derivative of 3*h**7/14 - h**6 - 11*h**5/3 - 10*h**4/3 - h**2. Factor g(q).
5*q*(q - 4)*(3*q + 2)**2
Let g(j) be the first derivative of 18/11*j - 6/11*j**2 + 2/33*j**3 - 6. Factor g(v).
2*(v - 3)**2/11
Let f(u) = 12*u**2 - 13. Let b(g) = 11*g**2 - 14. Let o(r) = 7*b(r) - 6*f(r). Factor o(p).
5*(p - 2)*(p + 2)
Solve 2*n**2 + 4 - 3*n - n**2 - 2 = 0.
1, 2
Factor 3/4*l**4 - 15/4*l**2 + 3/4*l**3 + 9/4*l + 0.
3*l*(l - 1)**2*(l + 3)/4
Let c(s) be the third derivative of s**8/672 + s**7/420 - s**6/80 - s**5/24 - s**4/24 - 6*s**2. Let c(i) = 0. Calculate i.
-1, 0, 2
Suppose 8*g - 5*g + 9 = 0. Let p be 5*(12/(-10))/g. Factor -1 + 4*d + 5 + 3*d**2 - 2*d**p + 0*d**2.
(d + 2)**2
Suppose 81 = -0*n + 3*n. Let a be (12/20)/(n/10). What is v in 8/9*v**5 - a*v**4 - 8/3*v**3 - 4/9*v + 22/9*v**2 + 0 = 0?
-2, 0, 1/4, 1
What is j in 2*j**3 + 6*j**2 - 14*j + 14*j = 0?
-3, 0
Let o be ((-1)/(-3))/(1/(-3)). Let r(y) = y**3 - y. Let c(h) = h**4 + 0*h + 2*h - h**3 - h**3 - 1. Let b(l) = o*c(l) - 4*r(l). Factor b(k).
-(k - 1)*(k + 1)**3
Let n(x) be the third derivative of 0*x - 1/72*x**4 + x**2 + 0 - 1/180*x**5 - 1/1080*x**6 + 1/6*x**3. Let l(r) be the first derivative of n(r). Factor l(d).
-(d + 1)**2/3
Let m be 3/2 - 69/(-6). Let j = m - 9. Factor 2*n + 4 + n**2 - j*n**2 + 2*n**2 - n**2.
-2*(n - 2)*(n + 1)
Let o(f) be the first derivative of f**2 - 1/21*f**4 + 2 - 4/21*f**3 - 1/210*f**5 + 0*f. Let v(i) be the second derivative of o(i). Factor v(h).
-2*(h + 2)**2/7
Suppose 3*b + 14 = 5*q, 5*b - 9 = 3*q - 11. Factor 0 - 2/5*f**b - 2/5*f.
-2*f*(f + 1)/5
Factor 0 + 0*l - 36/11*l**2 - 18/11*l**4 + 6*l**3.
-6*l**2*(l - 3)*(3*l - 2)/11
Suppose u + 0 = 3. Let b be u/14 + 6/21. Solve -b - 18*z**2 + 6*z = 0.
1/6
Let z(r) be the first derivative of -r**8/1680 + r**6/120 + r**5/60 + 2*r**3/3 - 1. Let l(m) be the third derivative of z(m). Factor l(v).
-v*(v - 2)*(v + 1)**2
Let o(b) = -2*b. Let t be o(-2). Let j be t/1 + -3 + 1. Determine r so that 0*r**j + 2/9*r**5 - 2/9*r**3 + 0*r + 0 + 0*r**4 = 0.
-1, 0, 1
Let x be (21/49 + (-17)/7)*-1. Factor 0*u + 2/5*u**3 - 4/5*u**x + 0.
2*u**2*(u - 2)/5
Factor 2/7*b**4 - 2/7*b**2 + 0*b**3 + 0 + 0*b.
2*b**2*(b - 1)*(b + 1)/7
Let k be (-6)/(-2) - -1 - 2. Factor -m - k*m**2 + 0*m**2 + 0*m**5 + m**5 + 2*m**4.
m*(m - 1)*(m + 1)**3
Let s be (2 - (-32)/(-4)) + 8. Factor -1/2*a**s - a + 0.
-a*(a + 2)/2
Let s = -1758/11 - -160. Factor -2/11*x**3 + 0 + 0*x - s*x**2.
-2*x**2*(x + 1)/11
Let v = -10 - -8. Let p(b) = -b**3 - 3*b**2 - 2*b. Let j be p(v). Factor -2/5*l**4 - 6/5*l**2 + j - 2/5*l - 6/5*l**3.
-2*l*(l + 1)**3/5
Let s(b) = -b**4 + 1. Let u(y) = -y**5 + y**4 + 2*y**3 + 8*y**2 + 7*y - 1. Let o(v) = 3*s(v) + u(v). Suppose o(h) = 0. What is h?
-1, 2
Let s(i) be the second derivative of 9*i**5/160 - i**4/32 - 3*i**3/16 + 3*i**2/16 + 10*i. Find k, given that s(k) = 0.
-1, 1/3, 1
Let j(b) be the first derivative of b**5/15 - b**4/6 - 4*b**3/9 + 4*b**2/3 - 5. Factor j(s).
s*(s - 2)**2*(s + 2)/3
Suppose 5*s - 2*s = -9. Let w be s + (-1 - (-42)/9). Suppose 0 - w*i + 2*i**2 = 0. What is i?
0, 1/3
Suppose 0 = 5*h + 3*y + 9, 3*h + 4*y = -0*y - 1. Let k = h - -21. Find j, given that 2 - k*j + 81/2*j**2 = 0.
2/9
Let r(z) be the first derivative of -z**5/20 + 7*z**4/16 - 7*z**3/6 + z**2 - 9. Factor r(b).
-b*(b - 4)*(b - 2)*(b - 1)/4
Let n be (0 - (-1 + 3)) + 6. Solve n*a - 8*a - 2 + 0*a**2 - 2*a**2 = 0 for a.
-1
Let f = -21 + 13. Let y = -4 - f. Suppose 0*k**4 - 2*k**3 + 1 + k**5 + k**y - 2*k**2 + 3*k - 2*k = 0. What is k?
-1, 1
Let w(y) = -y**3 - 5*y**2 - 6*y. Let l be w(-3). Let 1/2*t**4 - 1/2*t**5 - 1/2*t**2 + 3/2*t**3 - t + l = 0. Calculate t.
-1, 0, 1, 2
Let i = 110 - 110. Factor 2/9*d**3 + 2/9*d**2 - 2/9*d**4 + i - 2/9*d**5 + 0*d.
-2*d**2*(d - 1)*(d + 1)**2/9
Let k(m) be the second derivative of -5*m**7/42 + 2*m**6/3 - m**5 - 5*m**4/6 + 25*m**3/6 - 5*m**2 + 7*m. Find f such that k(f) = 0.
-1, 1, 2
Let g be ((-4)/150)/((-17)/170). Let p(y) be the first derivative of 1/6*y**4 + 0*y**3 + 0*y - 3 + 0*y**2 - g*y**5 + 1/9*y**6. Factor p(z).
2*z**3*(z - 1)**2/3
Factor 40/19*f**4 - 8/19*f**3 - 50/19*f**5 + 0*f + 0 + 0*f**2.
-2*f**3*(5*f - 2)**2/19
Factor 2/11*t**3 - 6/11*t**2 + 8/11 + 0*t.
2*(t - 2)**2*(t + 1)/11
Let g(v) be the first derivative of -2*v**6 - 28*v**5/5 - 2*v**4 + 8*v**3 + 10*v**2 + 4*v - 8. Let g(j) = 0. Calculate j.
-1, -1/3, 1
Let c be 2/(((-5)/2)/5). Let o(h) = -5*h**5 + 4*h**4 - h**2 + 2*h - 3. Let s(g) = 6*g**5 - 4*g**4 - 2*g + 4. Let b(f) = c*o(f) - 3*s(f). Solve b(q) = 0.
-1, 0, 1
Solve 17/8*q**3 + 0 + 5/8*q**4 + 0*q + 3/4*q**2 = 0.
-3, -2/5, 0
Let w(u) = 3*u**2 - 1. Let s be w(1). Determine x so that 10*x**2 - 11*x + 8 - 2*x**3 - s*x - 3*x = 0.
1, 2
Factor 2*u - 4/9 - 8/9*u**2.
-2*(u - 2)*(4*u - 1)/9
Let i = -163 + 165. Factor 0*x + 1/3 - 1/3*x**i.
-(x - 1)*(x + 1)/3
Let c(k) be the first derivative of k**6/2 - 12*k**5/5 + 15*k**4/4 - 2*k**3 - 46. Find m, given that c(m) = 0.
0, 1, 2
Suppose 3 = 4*u - 13. Let x = -2 + u. Let z + x*z - z + z**2 = 0. Calculate z.
-2, 0
Suppose 3/2*f**3 + 3/2*f**5 + 0*f + 0*f**2 + 3*f**4 + 0 = 0. What is f?
-1, 0
Let l be ((-2)/(-75))/((-8)/(-10)). Let h(t) be the second derivative of l*t**4 + 0*t**3 - 2*t - 1/5*t**2 + 0. Solve h(c) = 0.
-1, 1
Factor 8/3 + 16/3*i + 2*i**2.
2*(i + 2)*(3*i + 2)/3
Let j = -21 + 64/3. What is p in -2/3*p + 0 + j*p**2 = 0?
0, 2
Suppose 5*g = -5*t + 15, 6 = 4*g - 2*g. Factor -1/2*w**2 - 1/2*w + 1/2*w**3 + 1/2*w**4 + t.
w*(w - 1)*(w + 1)**2/2
Let a be (3/(-18)*2)/(28/(-6)). Let h(o) be the first derivative of 2/35*o**5 + 0*o - 2/21*o**3 - 2 - a*o**4 + 1/7*o**2. Let h(j) = 0. Calculate j.
-1, 0, 1
Suppose -23*x + 28 = -9*x. Let b = 10/9 + -4/9. Factor -1/3*q**x - 1/3*q + b.
-(q - 1)*(q + 2)/3
Suppose 2*y = -y. Suppose y = q + 2 - 4. Factor -i**4 + i**3 + i**5 - 1 + 2*i**q - 2*i**3 + i - i**3.
(i - 1)**3*(i + 1)**2
Let h(w) be the third derivative of -w**7/1785 + w**6/340 - w**5/170 + w**4/204 - 8*w**2. Factor h(d).
-2*d*(d - 1)**3/17
Let l(k) be the second derivative of k**10/15120 - k**9/7560 + k**4/3 - 2*k. Let d(b) be the third derivative of l(b). Suppose d(n) = 0. Calculate n.
0, 1
Factor -1/3*f + 1/3*f**2 - 1/3 + 1/3*f**3.
(f - 1)*(f + 1)**2/3
Let -s**2 + 3 - s + 12*s - 13*s = 0. Calculate s.
-3, 1
Factor -3*w**2 + 5*w**2 - 5*w**2.
-3*w**2
Let m(p) be the first derivative of 2/15*p**3 - 3/25*p**5 + 1/30*p**6 + 1/10*p**4 + 1/5*p + 3 - 3/10*p**2. Factor m(h).
(h - 1)**4*(h + 1)/5
Let h(w) = -3*w**4 - 4*w**3 + 6*w + 5. Let n(b) = -9*b**4 - 11*b**3 + 18*b + 16. Let l(d) = -7*h(d) + 2*n(d). Factor l(o).
3*(o - 1)*(o + 1)**3
Let v(t) be the second derivative of -t**6/40 + t**5/80 + 2*t**2 + 2*t. Let l(h) be the first derivative of v(h). Let l(c) = 0. What is c?
0, 1/4
Let h = 15 + -8. Suppose 4*l - h - 5 = o, 4*o = -5*l - 6. Let 27*v**2 + 12*v - 9*v**2 + l*v**3 + 6*v**3 + 2 = 0. What is v?
-1, -1/4
Factor 8/5*w - 8/5 - 4/5*w**3 + 6/5*w**2 - 2/5*w**4.
-2*(w - 1)**2*(w + 2)**2/5
Let p(k) = 6*k**2 + 187*k + 33. Let a be p(-31). Suppose -1/2*t**a + 4/3*t - 2/3 = 0. Calculate t.
2/3, 2
Let l(p) = p - 6. Let n be l(11). Suppose n = 2*k + 3*x - 0*x, 17 = 3*k - 5*x. Find z such that -k*z - 15*z**2 - 8*z**3 - 2*z - 4*z**3 - 2*z**4 - z**4 = 0.
-2, -1, 0
Let o(w) be the third derivative of 1/30*w**5 + 1/24*w**4 + 1/120*w**6 + 0*w**3 + 2*w**2 + 0 + 0*w. Suppose o(c) = 0. Calculate c.
-1, 0
Let m(b) = -b**2 - 1. Let o be m(0). Let z be o/(-1) - 9/12. Factor 1/4*j**3 + 0 + 0*j**2 + 0*j - z*j**4.
-j**3*(j - 1)/4
Let r be (90/378 - (-4)/(-7))/(-1). Factor 1/3*i - r*i**2 + 0 - 2/3*i**3.
-i*(i + 1)*(2*i - 1)/3
Factor 2*t**2 + 0 + 5/4*t**3 + t + 1/4*t**4.
t*(t + 1)*(t + 2)**2/4
Let i = 77/2 + -38. Determine p, given that 0 + p**3 + 0*p**2 + 0*p**4 - i*p 