0 + y**7/1890 + y**6/1620 - 2*y**3/3 + 3. Let b(x) be the third derivative of c(x). Factor b(f).
2*f**2*(f + 1)**2/9
Suppose -3*h + 80 = 4*o, 2*o - 20 = 4*h + 20. Suppose -o = -4*y - y. Factor 1/2 + 3/2*u - 3/2*u**y - 1/2*u**5 - u**3 + u**2.
-(u - 1)*(u + 1)**4/2
Suppose 4*f - 7*f + 15 = 0. Suppose 5*a**5 - 8*a**3 - 9*a**f - 10*a**4 - a**2 - a**2 = 0. Calculate a.
-1, -1/2, 0
Solve -18/7*d**2 + 8/7 + 6/7*d**4 + 0*d + 4/7*d**3 = 0 for d.
-2, -2/3, 1
Let w(r) be the first derivative of -121*r**6/3 + 154*r**5/5 + 161*r**4/2 - 146*r**3/3 - 40*r**2 - 8*r + 23. Determine s, given that w(s) = 0.
-1, -2/11, 1
Let f be ((-1)/(-6))/((-20)/(-3)). Let w(s) be the second derivative of -1/12*s**4 + f*s**5 + 2*s + 0 + 1/12*s**3 + 0*s**2. Factor w(a).
a*(a - 1)**2/2
Factor 4*a**2 + a**4 + 0 - 4/3*a - 11/3*a**3.
a*(a - 2)*(a - 1)*(3*a - 2)/3
Let t(l) be the third derivative of -2*l**2 + 0*l - 1/80*l**5 + 1/96*l**4 + 0 + 1/12*l**3. Factor t(p).
-(p - 1)*(3*p + 2)/4
Solve 4/15*k**2 + 0*k + 0 - 2/5*k**3 + 2/15*k**4 = 0 for k.
0, 1, 2
Suppose 0 = -0*z + z - 4*s + 17, 0 = 4*z + 2*s - 22. Factor 2/9*k**z + 0 + 0*k**2 + 0*k - 2/9*k**5 + 0*k**4.
-2*k**3*(k - 1)*(k + 1)/9
Let j(p) be the second derivative of -p**4/12 + 7*p**3/6 - 2*p**2 - 5*p. Let u be j(6). Determine y, given that -8/7 - 2/7*y**u + 8/7*y = 0.
2
Let u(r) = r. Let c be u(6). Let n be (5/15)/(4/c). Factor n + 1/2*o**2 - o.
(o - 1)**2/2
Let r(y) be the first derivative of 2*y**3/21 - 8*y**2/7 + 32*y/7 + 2. Factor r(h).
2*(h - 4)**2/7
Let n(f) = -5*f - 3 - 2*f + f**2 + 7. Let j be n(7). Solve 10/7*d + 10/7*d**j + 20/7*d**3 + 20/7*d**2 + 2/7 + 2/7*d**5 = 0.
-1
Factor 3 - 1/3*n**3 + 7/3*n**2 - 5*n.
-(n - 3)**2*(n - 1)/3
Let b(p) = p**3 + 3*p**2. Let t be b(-2). Factor -t + 1 - o**2 + 1 + 3*o.
-(o - 2)*(o - 1)
Let i = 58 - 58. Let y(a) be the second derivative of i + 0*a**2 - 1/6*a**4 + 0*a**3 - 3*a. Find d, given that y(d) = 0.
0
Find w such that 2*w**2 + 1/3 + 4/3*w + 4/3*w**3 + 1/3*w**4 = 0.
-1
Let c(j) be the third derivative of j**7/840 - j**6/160 + j**5/120 + 31*j**2. Factor c(y).
y**2*(y - 2)*(y - 1)/4
Let d(l) be the first derivative of 0*l + 4 + 0*l**3 + 1/15*l**5 + 0*l**2 - 1/6*l**4. Determine y, given that d(y) = 0.
0, 2
Let t(g) be the second derivative of -10/9*g**3 + 10/9*g**4 - 7*g - 2/3*g**5 + 2/3*g**2 + 2/9*g**6 + 0 - 2/63*g**7. Factor t(y).
-4*(y - 1)**5/3
Factor 30*r**2 - 187*r + 103*r + 18 + 68*r**2.
2*(7*r - 3)**2
Suppose -10 = 24*u - 58. Solve 2/7*n**u + 0 - 2/7*n = 0.
0, 1
Let w(u) be the first derivative of u**3/9 - 5*u**2/3 - 17. Factor w(k).
k*(k - 10)/3
Let y(b) be the first derivative of 27*b**5/25 + 3*b**4 + 4*b**3/5 + 44. Suppose y(q) = 0. What is q?
-2, -2/9, 0
Let s(d) be the third derivative of -d**6/40 + 3*d**4/8 + d**3 - 5*d**2. Suppose s(c) = 0. Calculate c.
-1, 2
Suppose -5*l + 31 = 4*i, 2*l + 0*l = i + 2. Suppose -2 = 5*t - 3*w, -i*w + 8 = -2*t - 2*t. Let -3*b**t - 3*b + b**3 + 4 + 3*b = 0. Calculate b.
-1, 2
Let m(z) be the third derivative of -z**5/180 + z**4/18 - z**3/6 + 3*z**2. Factor m(c).
-(c - 3)*(c - 1)/3
Let y = -5 - -2. Let r(g) = 6*g**3 + 4*g**2 + 5*g + 4. Let l(u) = 7*u**3 + 3*u**2 + 5*u + 5. Let o(p) = y*l(p) + 4*r(p). Factor o(k).
(k + 1)**2*(3*k + 1)
Let a(k) be the second derivative of -k**6/1440 + k**5/240 - k**3/3 + k. Let u(t) be the second derivative of a(t). Factor u(n).
-n*(n - 2)/4
Suppose 15 = 5*a + 5. Suppose a*g - 2 = -i, -4*g - i + 0*i = -2. Factor 3/2*b**2 + 3/2*b**5 + g*b + 9/2*b**3 + 9/2*b**4 + 0.
3*b**2*(b + 1)**3/2
Let g(t) be the third derivative of 2*t**7/105 - t**6/10 + t**5/5 - t**4/6 + 14*t**2. Factor g(s).
4*s*(s - 1)**3
Let b be (2 - 0)/(12/18). Factor 2 - r - 2*r**4 + r**b - 3*r**2 + 3*r**4 - r**4 + r**4.
(r - 1)**2*(r + 1)*(r + 2)
Let w(z) be the third derivative of -z**5/30 + 6*z**2. Let m = 1 + -7. Let s(l) = -l**3 - 8*l**2 - l. Let q(k) = m*w(k) + 2*s(k). What is n in q(n) = 0?
-1, 0
Let x(m) = 3*m**2 - 5*m + 2. Let i(t) = 4*t**2 - 6*t + 3. Let s(j) = 4*i(j) - 6*x(j). Factor s(y).
-2*y*(y - 3)
Let o(f) be the first derivative of 2523*f**4/16 + 957*f**3/4 + 45*f**2 + 3*f - 10. Suppose o(j) = 0. Calculate j.
-1, -2/29
Let z = -12 + -12. Let j be (-1)/6*32/z. Let 0 + 0*d**2 + 2/9*d - j*d**3 = 0. Calculate d.
-1, 0, 1
Let 0*u + 0 - 2/13*u**2 + 8/13*u**3 = 0. Calculate u.
0, 1/4
Factor 3/2 + 63/2*c**2 + 57/2*c**3 + 27/2*c + 9*c**4.
3*(c + 1)**3*(6*c + 1)/2
Let o be -3 - (93/12)/1. Let h = o - -11. Factor 0 - h*f**3 - 1/4*f - 1/2*f**2.
-f*(f + 1)**2/4
Find m, given that 5*m**2 - 10*m + 3*m - 5*m - 3*m = 0.
0, 3
Let g(l) be the second derivative of l**6/20 - 21*l**5/40 - 17*l**4/8 - 9*l**3/4 + 27*l - 2. What is y in g(y) = 0?
-1, 0, 9
Let g(t) = -20*t**2 - 52*t - 56. Let q(w) = 7*w**2 + 17*w + 19. Let x(f) = -3*g(f) - 8*q(f). Factor x(i).
4*(i + 1)*(i + 4)
Let c = 10 + -8. Let l(p) be the second derivative of 1/2*p**2 - c*p - 5/84*p**7 + 0 - 1/5*p**6 + 3/4*p**3 + 5/12*p**4 - 1/10*p**5. Let l(z) = 0. Calculate z.
-1, -2/5, 1
Let c(f) be the second derivative of -f**5/50 + f**4/10 - 2*f**3/15 + 8*f. Factor c(d).
-2*d*(d - 2)*(d - 1)/5
Let h(p) be the first derivative of 3*p**4/7 + p**3/7 - 9*p**2/14 - 14. Factor h(w).
3*w*(w + 1)*(4*w - 3)/7
Suppose -2*j + 3*j + 3 = 0. Let m = j - -6. Let 14*n**3 - 5*n - 6*n**4 + m*n - 6*n = 0. Calculate n.
-2/3, 0, 1, 2
Factor 1/3*s**4 - 2/3*s**3 + 0*s**2 + 0 + 0*s + 1/3*s**5.
s**3*(s - 1)*(s + 2)/3
What is f in 0*f**2 - 1/4*f**4 + 0*f + 0 + 0*f**3 = 0?
0
Let z = 223/10 + -89/5. Suppose 12*m + 6 + z*m**2 = 0. Calculate m.
-2, -2/3
Let r(n) = n**3 - n**2. Let b be r(1). Suppose b*y - 10 = -5*y. Find d, given that 2/7*d**3 + 2/7*d + 0 - 4/7*d**y = 0.
0, 1
Let i = -55 + 56. Determine x, given that -1/4*x**2 - x - i = 0.
-2
Let i = 58 + -55. Let r(d) be the second derivative of 1/24*d**4 + 0 + d - 1/40*d**6 + 1/8*d**2 - 1/168*d**7 - 1/40*d**5 + 1/8*d**i. Factor r(t).
-(t - 1)*(t + 1)**4/4
Let p be (-5 - -6)/((-1)/(-10)). Let b = p + -19/2. Determine z, given that 1/4*z**2 + 3/4*z + b = 0.
-2, -1
Suppose 0 = i + 5*o - 7, 2*o - 11 = -3*i - 3*o. Suppose 0 + 1/3*f**3 + 0*f + 0*f**i = 0. What is f?
0
Let z(u) be the second derivative of -5*u**7/42 + 2*u**6/3 - 3*u**5/4 - 5*u**4/3 + 10*u**3/3 + 20*u. Let z(v) = 0. What is v?
-1, 0, 1, 2
Factor -120*z**3 + 64*z**4 + 105*z + 90 + 334*z**2 - 489*z**2 + 16*z**4.
5*(z - 2)*(z - 1)*(4*z + 3)**2
Let h = -1 + 4. Factor 4*d**2 + 2*d**4 - d**2 + 4*d**h - d**2.
2*d**2*(d + 1)**2
Let a be (-2 + 3)*(-1 - -5). What is l in -3 + a*l - 2*l**2 - 2*l**3 + 3 = 0?
-2, 0, 1
Determine a so that 2*a**3 - 5*a**3 + 2*a**3 - 4*a**2 + 16 + 8*a - a**3 = 0.
-2, 2
Let w = -62 - -316/5. Factor 2/5*j + w*j**2 - 4/5.
2*(j + 1)*(3*j - 2)/5
Let i(m) be the second derivative of -m**7/11340 + m**5/540 + m**4/2 - 6*m. Let p(w) be the third derivative of i(w). Factor p(x).
-2*(x - 1)*(x + 1)/9
Let f = 418335 + -162313891/388. Let d = 2/97 + f. Factor 0 - 1/4*y - d*y**2 + 1/4*y**4 + 1/4*y**3.
y*(y - 1)*(y + 1)**2/4
Suppose 0 = -r - 3*r + 12. Factor -1/3 + u - u**2 + 1/3*u**r.
(u - 1)**3/3
Let n(g) = -g**4 + g**3 - g**2 - g - 1. Let m(s) = 3*s**4 - 12*s**3 + 3*s**2 + 6*s + 6. Let t(o) = -m(o) - 6*n(o). Solve t(y) = 0.
-1, 0
Suppose -a - 47 = -4*z - 15, 4*a = 5*z - 51. Suppose 0 = 3*f - z*f. Factor 0 - 1/2*j + 1/2*j**3 + f*j**2.
j*(j - 1)*(j + 1)/2
Let z(o) be the third derivative of -o**7/525 + 2*o**6/75 - 7*o**5/50 + 3*o**4/10 - 28*o**2. Suppose z(p) = 0. What is p?
0, 2, 3
Let b(k) = k**3 - 5*k**2 + 7*k. Let z be b(3). Let u(y) be the first derivative of 1 + 1/7*y**2 - 4/7*y + 2/21*y**z. Find v, given that u(v) = 0.
-2, 1
Let t(q) be the first derivative of -2/9*q**3 + 0*q + 0*q**2 - 5/6*q**4 + 4. Factor t(s).
-2*s**2*(5*s + 1)/3
Suppose -21*r + 15 = c - 25*r, -r = -2*c + 9. What is s in -1/4*s**2 + 1/4 + 1/4*s**c - 1/4*s = 0?
-1, 1
Let y(x) be the third derivative of -4/21*x**3 + 1/70*x**5 + 0*x + 3*x**2 - 1/420*x**6 + 0 + 0*x**4. Factor y(a).
-2*(a - 2)**2*(a + 1)/7
Let -435*r - 3*r**5 - 7*r**3 - 3*r**3 + 8*r**5 + 440*r = 0. What is r?
-1, 0, 1
Let w = -9 - -14. Let o be (-4)/10 + 12/w. Find i, given that 0*i + 0*i**o + 0 - 1/4*i**3 = 0.
0
Let l(j) be the second derivative of -2*j + j**2 - 1/120*j**5 + 0*j**3 + 1/16*j**4 + 0. Let r(s) be the first derivative of l(s). Suppose r(m) = 0. What is 