 16128*q + 612*q**4 + 7200*q**2 - 3*q**5 - 2*q**5 + 32*q**5 + 4332*q**3 + 7843 = 0. Calculate q.
-8, 2/3
Let c(a) be the first derivative of 3*a**5/5 + 4*a**3/3 - 7*a**2/2 + 7*a + 1. Let d(k) = k**4 + k**2 - 2*k + 2. Let u(z) = -2*c(z) + 7*d(z). Factor u(r).
r**2*(r - 1)*(r + 1)
Suppose 0 = -k + 2*k, 4*v + 12 = -5*k. Let a be 0/(-1 - (3 + v)). Factor -2/7*x + a + 2/7*x**2.
2*x*(x - 1)/7
Let r(v) be the second derivative of v**7/3780 + v**6/360 + v**5/90 - v**4/12 + 3*v. Let m(t) be the third derivative of r(t). Factor m(f).
2*(f + 1)*(f + 2)/3
Let b(t) be the second derivative of t**6/2 + 69*t**5/20 + 5*t**4 - 6*t**3 - 4*t. Factor b(h).
3*h*(h + 2)*(h + 3)*(5*h - 2)
Suppose -4*x - 12 = 0, 3*f + f - 5*x - 3 = 0. Let c(z) = -z - 3. Let q be c(f). Solve q - 1/4*u**2 - 1/4*u = 0 for u.
-1, 0
Solve 1/3*c**2 - 1/3*c**4 + 0 + 4/3*c**3 - 4/3*c = 0.
-1, 0, 1, 4
Let s(c) = c. Let w(i) = i**2 + 3*i - 3. Let x = 17 + -21. Let p(u) = x*w(u) + 4*s(u). Factor p(r).
-4*(r - 1)*(r + 3)
Find d such that d + 0*d + 3*d + 6*d**2 + 2*d**3 = 0.
-2, -1, 0
Let f(c) be the second derivative of c**4/54 - 2*c**3/27 + c**2/9 + 11*c. Factor f(y).
2*(y - 1)**2/9
Let s(m) be the second derivative of m**6/6 - 3*m**5/4 + 5*m**4/4 - 5*m**3/6 + 21*m. What is g in s(g) = 0?
0, 1
Let b(y) = -y**2 + y + 4. Suppose 6*h = 2*h - 8. Let z(x) = 2*x**2 - 2*x - 9. Let k(d) = h*z(d) - 5*b(d). Factor k(a).
(a - 2)*(a + 1)
Let x be ((2 - 2)/3)/1. Let v be -2 + (1 - x - -1). Suppose v*r + 3*r**2 - r - 4*r**2 = 0. Calculate r.
-1, 0
Let a(m) be the second derivative of 1/15*m**6 + 0*m**4 + 1/5*m**5 + 0 - m**2 - 2/3*m**3 - 3*m. Let a(q) = 0. What is q?
-1, 1
Solve 8/9*t + 0 - 2/9*t**2 = 0 for t.
0, 4
Determine c, given that -62*c**3 + 130*c**3 - 65*c**3 = 0.
0
Let q be (-4)/3 + 18/12. Let l(g) be the second derivative of -g + 0 - 1/3*g**3 - q*g**4 + 0*g**2. What is z in l(z) = 0?
-1, 0
Let f(o) be the third derivative of o**7/525 - o**5/150 - 11*o**2. Determine t so that f(t) = 0.
-1, 0, 1
Let x be 3/18 - 92/(-24). Let q(j) be the first derivative of 0*j + 0*j**3 + 0*j**2 + 1/8*j**x + 4. Suppose q(y) = 0. What is y?
0
Let g(x) be the first derivative of -8*x**5/5 + 7*x**4/2 - 4*x**3/3 - x**2 - 2. Factor g(w).
-2*w*(w - 1)**2*(4*w + 1)
Let w be ((-3)/75)/(72/(-15)). Let n(g) be the third derivative of 1/24*g**4 + w*g**6 + 0*g + 0 + 2*g**2 + 0*g**3 + 1/30*g**5. Factor n(c).
c*(c + 1)**2
Find t such that 0*t**4 + 4/7*t**5 - 8/7*t**2 - 12/7*t**3 + 0 + 0*t = 0.
-1, 0, 2
Factor 2/5*w**5 + 1/5*w - w**2 + 0 - 7/5*w**4 + 9/5*w**3.
w*(w - 1)**3*(2*w - 1)/5
Let b(h) be the third derivative of h**7/210 - 12*h**2. Factor b(f).
f**4
Let n = 24 + -65/3. Let r(k) be the second derivative of -11/5*k**5 - n*k**3 - 3*k**4 - 13/15*k**6 - 1/7*k**7 + 2*k + 0 - k**2. Solve r(y) = 0 for y.
-1, -1/3
Let m(d) be the first derivative of -4*d**3/3 + 4*d**2 - 3. Factor m(s).
-4*s*(s - 2)
Let o = 143 - 140. Factor -4/3*s - 2*s**2 + 0*s**o + 0 + 2/3*s**4.
2*s*(s - 2)*(s + 1)**2/3
Let a be (1/3)/(1/9). Let i be a/(-12) - (-7)/12. Solve 1/3*x - i*x**2 + 0 = 0.
0, 1
Let c(d) be the third derivative of -d**6/240 + d**5/20 - d**4/4 + 2*d**3/3 + 6*d**2. Factor c(l).
-(l - 2)**3/2
Let f = -62 + 67. Let l(m) be the second derivative of -2/9*m**3 + 28/45*m**6 + 0 + 17/18*m**4 - 4*m + 0*m**2 - 43/30*m**f. Let l(w) = 0. What is w?
0, 1/4, 2/7, 1
Determine c so that -10*c + 5/4*c**2 + 35/4 = 0.
1, 7
Let c(k) = -6*k - 31. Let r be c(-6). Let s(t) be the second derivative of -1/20*t**r + 0*t**4 + 2/9*t**3 + 1/90*t**6 + 0*t**2 - 3*t + 0. Factor s(o).
o*(o - 2)**2*(o + 1)/3
Let f(b) = -6*b**2 - 16*b - 10. Let m(g) = -g**2 + 1. Let j(y) = f(y) - 2*m(y). Factor j(n).
-4*(n + 1)*(n + 3)
Let u(d) be the second derivative of -d**4/102 + d**3/17 - 2*d**2/17 - 7*d. Factor u(w).
-2*(w - 2)*(w - 1)/17
Let v be -1*(-4)/(-2) + 56/21. Solve 2*k**3 + v*k - 2*k**2 + 0 - 2/3*k**4 = 0.
0, 1
Suppose 2/9*w**2 + 7/9*w + 4/9 - 1/9*w**3 = 0. Calculate w.
-1, 4
Let x be -4 + (-24)/(-27) + 3. Let v = x + 13/36. Determine o, given that v*o**3 - 1/2*o - 1/4*o**2 + 0 = 0.
-1, 0, 2
Let a(u) be the first derivative of -u**5/35 + 9*u**4/28 - 5*u**3/7 - 25*u**2/14 - 18. Factor a(k).
-k*(k - 5)**2*(k + 1)/7
Let w(r) = -4*r**2 - 3*r + 0*r**2 + 3*r**2 + 4*r. Let c(o) = 10*o**3 - 10*o**2. Let q(f) = c(f) + 2*w(f). Factor q(h).
2*h*(h - 1)*(5*h - 1)
Suppose -15 = -289*b + 284*b. Let j(l) = -l**3 - 3*l**2 + 5*l + 4. Let o be j(-4). Factor -2/5*q**b + 2/5*q + 0*q**2 + o.
-2*q*(q - 1)*(q + 1)/5
Suppose q - 5*q + 12 = 0. Suppose 0 = -q*y + 12, 4*c - c - 18 = -3*y. Factor 8/3*g**c + 2/3*g + 0 + 2*g**3.
2*g*(g + 1)*(3*g + 1)/3
Let m be ((-12)/(-16))/(-1 - 2 - -6). Let s = 2 - -1. Solve 1/4*a**s - m*a + 1/4*a**2 - 1/4 = 0 for a.
-1, 1
Let t(l) be the third derivative of -1/210*l**7 + 1/24*l**3 + 0*l + 3*l**2 + 1/80*l**5 + 5/96*l**4 + 0 - 1/96*l**6. Determine o so that t(o) = 0.
-1, -1/4, 1
Let l(s) be the second derivative of -1/66*s**4 + 1/33*s**3 + 2/11*s**2 - 2*s + 0. Factor l(q).
-2*(q - 2)*(q + 1)/11
Let y be 3/(-2)*8/(-6). Let v(n) be the first derivative of -2 + 1/4*n**5 + 0*n - 1/2*n**4 + 1/12*n**3 + 1/4*n**y. Let v(t) = 0. What is t?
-2/5, 0, 1
Factor 6*z**2 - 3*z**4 + 10*z - 7*z**3 + 5*z**3 + 4 + z**4.
-2*(z - 2)*(z + 1)**3
Suppose 486/5 + 32/3*p**3 + 1296/5*p - 2/5*p**4 - 468/5*p**2 = 0. What is p?
-1/3, 9
Let k be (-4)/(-18) - (-17)/(-765). What is i in -1/5*i**4 + 2/5*i + 0*i**2 + k - 2/5*i**3 = 0?
-1, 1
Let o(s) be the second derivative of s**4/48 - 7*s**3/12 + 49*s**2/8 - 21*s. Factor o(r).
(r - 7)**2/4
Determine u, given that -12/7*u**2 + 4/7*u**3 + 8/7*u + 0 = 0.
0, 1, 2
What is o in 3/5*o**3 + 9/5*o**2 + 3/5 + 9/5*o = 0?
-1
Let g(n) = -n**4 + n**3 - n + 1. Let z = 16 - 18. Let m(c) = -3*c**4 - 2*c**3 + 4*c**2 + 2*c - 1. Let u(k) = z*m(k) - 2*g(k). Solve u(r) = 0.
-1, -1/4, 0, 1
Let g(v) be the second derivative of 3*v**7/14 + 5*v**6/8 + 39*v**5/80 - v**4/16 - v**3/8 - 2*v. Find x, given that g(x) = 0.
-1, -1/3, 0, 1/4
Suppose -19 = -4*r - 5*f + 18, r - f - 7 = 0. Suppose -r*i = -6*i - 4. Factor -1/3*j - 1/6 - 1/6*j**i.
-(j + 1)**2/6
Factor -4 - 31*n**3 + 32*n**3 + 4 - n**4.
-n**3*(n - 1)
Let b(u) = -u**3 + 11*u**2 - 22*u + 39. Let o be b(9). Suppose 0 - 1/2*g - 5/4*g**2 + 7/4*g**o = 0. Calculate g.
-2/7, 0, 1
Let l = -2/149 + 304/447. Factor 0*m - l*m**2 + 0.
-2*m**2/3
Solve -4/3 - 1/3*u**2 + u**3 - 8/3*u = 0 for u.
-1, -2/3, 2
Let h(g) be the third derivative of -g**5/150 + g**4/30 - g**3/15 - g**2. Factor h(z).
-2*(z - 1)**2/5
Let a(d) be the second derivative of -d**9/3024 + d**8/840 - d**6/180 + d**5/120 + d**3/6 + 3*d. Let u(l) be the second derivative of a(l). Factor u(x).
-x*(x - 1)**3*(x + 1)
Let h(d) = -d**3 - d**2 + d + 1. Suppose 4*y + 4 = -0. Let f(p) = 3*p**4 - 3*p**2 + 3*p + 3. Let n(x) = y*f(x) + 3*h(x). Solve n(m) = 0.
-1, 0
Let p(o) = o**2 - 2*o. Let z be p(3). Let n = 1/34 + 65/102. Find l such that -2/3*l**z + 2/3*l - 2/3*l**2 + n = 0.
-1, 1
Factor 0*z**3 - 10*z**2 + 5*z**3 - 5*z - 21 + 0*z**3 + 31.
5*(z - 2)*(z - 1)*(z + 1)
Let o(c) be the second derivative of c**5/5 - 2*c**4/3 + 5*c. Factor o(b).
4*b**2*(b - 2)
Let p(o) be the second derivative of 3*o - 1/6*o**2 - 1/9*o**3 + 1/12*o**4 + 0. Determine h, given that p(h) = 0.
-1/3, 1
Let s(m) = -m**3 + 16*m**2 - 25*m + 6. Let j(o) = 2*o**3 - 17*o**2 + 25*o - 7. Let g(f) = -4*j(f) - 3*s(f). Factor g(x).
-5*(x - 2)*(x - 1)**2
Let o(p) be the second derivative of -p**5/105 - p**4/84 - p**2/2 - p. Let k(z) be the first derivative of o(z). Solve k(q) = 0 for q.
-1/2, 0
Let w(t) be the first derivative of -t**5 - 13*t**4/4 - 3*t**3 + t**2/2 + 2*t + 29. Factor w(m).
-(m + 1)**3*(5*m - 2)
Let v = 5 - 8. Let r = v + 5. Solve -2 - 5*g + 2*g**3 + r*g**4 + 2*g**3 + g = 0 for g.
-1, 1
Solve 1/6*w + 1/3 - 1/6*w**2 = 0 for w.
-1, 2
Let k(y) be the first derivative of y**6/3 - y**5/10 - y**4/2 + y**3/6 - 8. What is i in k(i) = 0?
-1, 0, 1/4, 1
Suppose -4*k + 10 + 10 = 0. Let g(n) be the second derivative of -1/3*n**3 + 1/2*n**4 - n + 0*n**2 + 0 + 1/15*n**6 - 3/10*n**k. Factor g(z).
2*z*(z - 1)**3
Let w(j) be the third derivative of j**6/10 - 2*j**5/15 + j**4/18 - 26*j**2. Factor w(i).
4*i*(3*i - 1)**2/3
Let q = 31/172 - -3/43. Solve 0*u - q*u**4 + 0 + 1/4*u**2 + 0*u**3 = 0 for u.
-1, 0, 1
Let y(m) be the fi