0 + d**4/12 - 4*d. Factor z(f).
f**2*(f + 1)*(f + 2)/2
Let r(l) be the first derivative of -l**4/40 - 2*l**3/15 - l**2/4 - l/5 + 8. Factor r(z).
-(z + 1)**2*(z + 2)/10
Let o = 10 + -8. Suppose -1/5 + 1/5*a**o + 1/5*a - 1/5*a**3 = 0. Calculate a.
-1, 1
Let j(h) = 2*h**3 + 3*h**2 - 6*h - 4. Let y(f) = f**2. Let k(g) = 2*j(g) - 6*y(g). Solve k(o) = 0 for o.
-1, 2
Let b(i) = i**3 + 2*i**2 - i - 2. Let f = -8 + 2. Let v(k) = k**3 + 2*k**2 - k - 2. Let t(d) = f*v(d) + 5*b(d). Solve t(y) = 0.
-2, -1, 1
Let n = -8 + 14. Suppose -2*i + 0 = -n. Suppose w**2 + w**2 + 4*w**5 - 2*w**5 + w**4 - i*w**4 - 2*w**3 = 0. Calculate w.
-1, 0, 1
Let x = 28 + -192/7. Suppose x*c**2 + 0*c - 10/7*c**3 + 0 = 0. What is c?
0, 2/5
Let k be (-54)/(-21) - -2*6/28. Let j(n) be the first derivative of 0*n**2 - 2/3*n**k - 2 + 2*n. Factor j(u).
-2*(u - 1)*(u + 1)
Suppose -6*w = -5 - 19. Solve 15*a**2 + w - 7/2*a**3 - 18*a = 0 for a.
2/7, 2
Let t be ((-252)/(-48))/((-6)/(-16)). Suppose -3*q - g + 0*g + t = 0, -q + 4*g = 17. Solve 0 + 1/5*s**4 + 0*s**q + 0*s - 1/5*s**2 = 0.
-1, 0, 1
Find l, given that -2/3*l**2 + 1/3*l + 0 + 1/3*l**3 = 0.
0, 1
Let -16/7*f**2 + 10/7*f**3 + 2/7*f + 4/7 = 0. What is f?
-2/5, 1
Factor -8*k**2 + 0*k**4 - 10*k**3 + 3*k**2 - 7*k**3 + 6*k**4 + 6*k.
k*(k - 3)*(2*k - 1)*(3*k + 2)
Let q(z) be the second derivative of z**4/54 - 2*z**3/27 + z**2/9 - 3*z. Find p such that q(p) = 0.
1
Let v = -206/3 - -69. Factor -v*r**2 + 1/3 + 0*r.
-(r - 1)*(r + 1)/3
Let w(k) be the third derivative of -k**7/140 - 3*k**6/80 - 3*k**5/40 - k**4/16 - 27*k**2. Factor w(a).
-3*a*(a + 1)**3/2
Let k(l) be the first derivative of l**5/180 - l**4/36 + 5*l**2/2 + 2. Let j(u) be the second derivative of k(u). Factor j(p).
p*(p - 2)/3
Let r(f) be the first derivative of -1/9*f**3 + 2/3*f - 1/6*f**2 - 1. Factor r(h).
-(h - 1)*(h + 2)/3
Let u = 7 + -4. Suppose -3 = -u*n + 2*n. Factor -w**2 - 2*w + w**4 + 3*w**3 + 0*w**4 - w**5 + 0*w**n.
-w*(w - 2)*(w - 1)*(w + 1)**2
Let m be 28/18 + (-2)/9. Solve -4/3*w**2 + m - 14/3*w + 14/3*w**3 = 0.
-1, 2/7, 1
Let r(m) = m. Let u be r(4). Let v(k) be the first derivative of -1/30*k**6 + 3/25*k**5 - 1/10*k**u - 1/5*k + 3 - 2/15*k**3 + 3/10*k**2. Factor v(x).
-(x - 1)**4*(x + 1)/5
Solve 4/9*k - 14/3*k**4 + 2*k**5 + 2/9*k**3 + 2*k**2 + 0 = 0 for k.
-1/3, 0, 1, 2
Let s(v) be the first derivative of v**6/120 - v**5/40 + 2*v**3 - 4. Let w(t) be the third derivative of s(t). Factor w(d).
3*d*(d - 1)
Factor 2/11*t**3 + 2/11*t**2 + 0*t + 0.
2*t**2*(t + 1)/11
Let l(i) be the third derivative of 0 + 0*i**3 + 1/126*i**7 - 2*i**2 + 7/360*i**6 + 0*i - 1/18*i**4 - 2/45*i**5. Factor l(u).
u*(u - 1)*(u + 2)*(5*u + 2)/3
Factor -16*u**2 - 7 + 2 + 21*u**2.
5*(u - 1)*(u + 1)
Let p(x) = -x. Let g be p(-3). Let w be 4*((-58)/20 + g). Find u such that -2/5*u**4 - 8/5*u**3 - 12/5*u**2 - 8/5*u - w = 0.
-1
Let b(y) be the second derivative of 0 + 3*y + y**4 + 0*y**3 + 0*y**2 - 1/5*y**5. Factor b(v).
-4*v**2*(v - 3)
Factor -8/7*j + 0 - 16/7*j**2 + 10/7*j**3.
2*j*(j - 2)*(5*j + 2)/7
Let a(t) be the third derivative of 81*t**7/70 + 9*t**6/10 + t**5/5 - 4*t**2. Determine v so that a(v) = 0.
-2/9, 0
Let z(p) = -3*p**3 + p**2 - p + 1. Let t be z(1). Let b = 1 - t. Suppose -4 + 11*m - 7*m**2 + 2*m**b - m - m**2 = 0. Calculate m.
1, 2
Factor 4*d**2 - 3*d**5 - 8*d**5 + 12*d**3 + 17*d**5 - 2*d**5 + 12*d**4.
4*d**2*(d + 1)**3
Let j = -6763/11 + 615. What is f in -j*f - 4/11*f**2 + 2/11 = 0?
-1, 1/2
Let g(y) = 2*y + 2. Let u be g(-6). Let z be ((-15)/u)/((-156)/(-16)). Solve -z*a**2 + 6/13*a - 4/13 = 0 for a.
1, 2
Let l = -113/105 + 11/10. Let g(b) be the second derivative of l*b**7 + 1/6*b**3 - 1/30*b**6 + 0 + 1/6*b**4 - 1/2*b**2 - 1/10*b**5 + 2*b. Factor g(i).
(i - 1)**3*(i + 1)**2
Let 7*s**3 + 6*s**3 - 4*s**3 + 22*s - 7*s + 48*s**2 = 0. Calculate s.
-5, -1/3, 0
Let l(x) be the first derivative of 1/9*x**3 - 4/3*x**2 + 7/12*x**4 + 1/18*x**6 + 4/3*x - 1 - 1/3*x**5. Let l(f) = 0. What is f?
-1, 1, 2
Let u(y) = -y**3 - 5*y**2 - 6*y + 2. Let i be u(-3). Factor 2/3 + 86/3*n**i + 112/3*n**4 - 22/3*n - 32/3*n**5 - 146/3*n**3.
-2*(n - 1)**3*(4*n - 1)**2/3
Determine s so that -s**5 - 6*s**4 - s**4 + 4*s**4 - 2*s**3 = 0.
-2, -1, 0
Suppose -2*a - 10 = a + 2*j, j + 5 = -a. Let n(x) = -x**3 + x**2 - x + 5. Let f be n(a). Factor -i**2 + 7*i**4 + f*i**2 + 6*i**3 - 4*i**4 - i**4.
2*i**2*(i + 1)*(i + 2)
Solve 0 + 1/2*h**3 + 0*h**2 + 1/4*h**4 + 0*h = 0 for h.
-2, 0
Let u = -1117/224 + 56257/11872. Let j = 2/53 - u. Factor 0*b + 0*b**2 - j*b**4 + 0 - 2/7*b**3.
-2*b**3*(b + 1)/7
Let b(p) = -4*p**3 + 43*p**2 + 4*p + 77. Let z be b(11). Find n such that 0*n + 0*n**3 + z + 3/2*n**5 + 3/4*n**2 - 9/4*n**4 = 0.
-1/2, 0, 1
Find s, given that 5/2 - 5/2*s**2 - 5/4*s**3 + 5/4*s = 0.
-2, -1, 1
Determine x, given that 80/9*x**4 - 28/9*x**2 - 62/3*x**3 - 16/9 + 50/3*x**5 + 8*x = 0.
-1, 2/5, 2/3
Let k(c) = c**4 + 3*c**3 - 11*c**2 + 11*c - 6. Let z(b) = b**3 - b**2 - 1. Let q(f) = 2*k(f) - 4*z(f). Find x such that q(x) = 0.
-4, 1
Let q = 1/11 + 41/33. Suppose -2/3 + 0*u**3 + q*u**2 + 0*u - 2/3*u**4 = 0. Calculate u.
-1, 1
Let o = 17/27 + 1/27. Let i be 24/(-9)*(-6)/24. Factor 0 - o*f + i*f**2.
2*f*(f - 1)/3
Suppose -3*a + 4*v = -38 - 10, 0 = 4*a + 4*v - 36. Let z = -23/2 + a. Suppose 3/2*s**4 - z*s + 1/2*s**3 - 3/2*s**2 + 0 = 0. What is s?
-1, -1/3, 0, 1
Let f = 9 + -7. Let y(u) = -6*u + 2 + 6*u + 3*u**f. Let a(q) = 2*q**2 + 1. Let r(z) = 10*a(z) - 6*y(z). Suppose r(o) = 0. What is o?
-1, 1
Let z be (-8)/(-12) - 12/(-54). Solve 0 - 10/9*y**2 + 2/3*y**4 + z*y**3 - 4/9*y = 0.
-2, -1/3, 0, 1
Let -15/2*n - 15*n**3 - 15/2*n**4 - 15*n**2 - 3/2 - 3/2*n**5 = 0. Calculate n.
-1
Suppose -5*i = -2*l + 13, -i + 5*l - 10 = 4*i. Let h be (2/i)/((-2)/27). What is p in 18*p**2 + 51*p**3 - 48*p + h*p**5 + 16 - 39*p**4 + 6*p**2 - 11*p**3 = 0?
-1, 2/3, 2
Determine h, given that -40*h**4 + h**2 + 81*h**4 - 3*h**2 - 39*h**4 = 0.
-1, 0, 1
Let d(o) be the third derivative of -1/160*o**6 + 1/840*o**7 + 0*o - 1/12*o**3 + 0 + 6*o**2 + 1/240*o**5 + 1/32*o**4. Factor d(q).
(q - 2)*(q - 1)**2*(q + 1)/4
Let b(j) = -9*j**4 + 6*j**3 - 5*j**2 - 4*j + 4. Let f(t) = -7*t**4 + 5*t**3 - 4*t**2 - 3*t + 3. Let m(q) = -3*b(q) + 4*f(q). Determine o, given that m(o) = 0.
0, 1
Let o be ((-20)/150 + (-9)/(-30))*16. Suppose 0 - o*c - 8/3*c**2 - 2/3*c**3 = 0. What is c?
-2, 0
Let d(m) = -7*m**2 - 8*m - 16. Let l(x) = 48*x**2 + 57*x + 111. Let a(i) = 27*d(i) + 4*l(i). Factor a(s).
3*(s + 2)**2
Let h(p) be the second derivative of p**7/11340 + p**4/12 + 4*p. Let g(x) be the third derivative of h(x). Factor g(r).
2*r**2/9
Let c(n) be the second derivative of 1/6*n**3 + 0*n**2 + 2*n + 7/24*n**4 + 0. Factor c(x).
x*(7*x + 2)/2
Let u(g) be the first derivative of -1/12*g**3 - 1/40*g**5 - 1 - g**2 + 0*g + 1/240*g**6 + 1/16*g**4. Let f(d) be the second derivative of u(d). Factor f(c).
(c - 1)**3/2
Let x(y) = -7*y**2 - 7*y - 13. Let j(r) = 4*r**2 - 2 + 3*r + 0*r + 8. Suppose 5*l + 23 = 2*m + 8, 0 = -3*m - 2*l - 25. Let o(i) = m*j(i) - 3*x(i). Factor o(h).
(h + 3)**2
Let o(p) be the third derivative of p**7/1680 + p**6/144 + 7*p**5/240 + p**4/16 - 7*p**3/6 + 4*p**2. Let w(z) be the first derivative of o(z). Factor w(h).
(h + 1)**2*(h + 3)/2
Let z(d) = -d**3 + 14*d**2 + 5. Let m be z(14). Let h be (20/m)/(16/12). Find q, given that -1/2*q**h + 1/2*q - 1/4 + 0*q**2 + 1/4*q**4 = 0.
-1, 1
Let c(d) be the third derivative of -d**6/2340 + d**5/780 - d**3/2 + 2*d**2. Let b(w) be the first derivative of c(w). Factor b(r).
-2*r*(r - 1)/13
Let d(b) be the first derivative of b**6/600 + b**5/150 + b**4/120 + b**2 + 2. Let y(u) be the second derivative of d(u). Factor y(a).
a*(a + 1)**2/5
Let n(k) be the third derivative of -k**5/30 + k**4/18 + k**3/9 + 9*k**2. Factor n(s).
-2*(s - 1)*(3*s + 1)/3
Let h(p) be the third derivative of 0*p**4 + 0*p - p**2 + 0*p**3 - 1/90*p**5 + 1/360*p**6 + 0. Factor h(d).
d**2*(d - 2)/3
Let v(g) be the first derivative of -g**7/735 + g**5/70 + g**4/42 - 3*g**2/2 + 4. Let j(q) be the second derivative of v(q). Factor j(r).
-2*r*(r - 2)*(r + 1)**2/7
Let j(r) = -r**2 - 8*r + 13. Let w be j(-9). Suppose -w*a = -0 - 8. Solve -u**a - 2*u**3 + 7*u**3 - u**2 - 5*u + 8 - 6 = 0 for u.
-1, 2/5, 1
Let l(j) = 7*j**2 + 5*j. Let c(o) = -o**2 - o. Let r = 17 + -7. Let u 