**5 - 3*g**5 + 4*g**4 - 16*g**3 + 16*g**3 = 0.
0, 2
Let o(d) be the second derivative of 5*d**7/84 - 7*d**6/36 + d**5/8 + 5*d**4/24 - 5*d**3/18 - 10*d. Factor o(k).
5*k*(k - 1)**3*(3*k + 2)/6
Suppose -4*b - 7 = -15. Let m(r) be the second derivative of 1/3*r**b + 1/6*r**3 - 2*r + 1/36*r**4 + 0. Solve m(l) = 0 for l.
-2, -1
Factor 4*c**4 + 2*c**5 + 34*c - 34*c + 8*c**3 - 6*c**3.
2*c**3*(c + 1)**2
Let i = -3/55 - -64/165. What is r in 4/3 + 0*r - i*r**3 - r**2 = 0?
-2, 1
Let d(u) be the third derivative of u**6/40 - 9*u**5/5 + 81*u**4/2 - 2*u**2 - 1. Factor d(f).
3*f*(f - 18)**2
Let l(t) = 8*t**4 + 11*t**3 - 10*t**2 - 13*t + 5. Let q(i) = -i**4 - i**3 - i**2 - i - 1. Let p(j) = -l(j) - 5*q(j). Solve p(y) = 0.
-3, -1, 0, 2
Suppose 2*w - 10 = -4*g - 0, -5*g - 20 = -4*w. Let s be g*(-2)/(3 + -5). Factor -v**2 - 1 + s*v**2 - 1 + 3*v.
-(v - 2)*(v - 1)
Let s be 2/(-8)*(-8 - 8). Factor 1/4 + 1/4*c**s + 0*c + 0*c**3 - 1/2*c**2.
(c - 1)**2*(c + 1)**2/4
Let a(g) = 48*g**2 - 148*g + 272. Let q(i) be the first derivative of -7*i**3/3 + 21*i**2/2 - 39*i - 2. Let z(s) = -3*a(s) - 20*q(s). Factor z(b).
-4*(b - 3)**2
Factor 0*y + 2*y**2 + 1/2*y**4 - 2*y**3 + 0.
y**2*(y - 2)**2/2
Suppose -5*z + 2*d = -d - 10, 0 = -z + 5*d - 20. Let -3*j**2 + z*j**2 + 3*j**4 + j**4 + 0*j**2 + 6*j**3 = 0. What is j?
-1, -1/2, 0
Let k = 90365 + -30001259/332. Let f = 1/83 - k. Factor -1/4*j**3 + 0 - j**2 + f*j + j**4.
j*(j - 1)*(j + 1)*(4*j - 1)/4
Suppose -27/4*p**3 - 120*p + 24 + 111/2*p**2 = 0. What is p?
2/9, 4
Let w(m) = m**3 + 6*m**2 + 5*m + 2. Let f = 0 - 5. Let b be w(f). Let 3/2*x**5 + 1/2*x + 0 - 2*x**3 - x**b + x**4 = 0. What is x?
-1, 0, 1/3, 1
Determine w so that 8/5*w + 2 - 2/5*w**2 = 0.
-1, 5
Factor 0*w**2 + 3/4*w**4 + 1/2*w**3 + 1/4*w**5 + 0 + 0*w.
w**3*(w + 1)*(w + 2)/4
Let x(u) be the second derivative of -6*u + 0*u**4 + 1/40*u**5 - 7/120*u**6 + 5/168*u**7 + 0 + 0*u**2 + 0*u**3. Suppose x(c) = 0. Calculate c.
0, 2/5, 1
Let s(x) be the third derivative of x**7/420 + x**6/20 + 9*x**5/20 + 9*x**4/4 - x**3 - 6*x**2. Let b(d) be the first derivative of s(d). Solve b(y) = 0 for y.
-3
Factor 8 + 85*k**2 + 36*k + 4*k - 35*k**2.
2*(5*k + 2)**2
Suppose -3*g - g = 0. Suppose n + 2*n = g. Solve 1/2*y**2 - 1/2 + n*y = 0 for y.
-1, 1
Solve 32*x**2 + 35*x**2 - 107*x**2 + 43*x**2 + 9*x = 0.
-3, 0
Let u(k) be the first derivative of 5*k**6/14 + 51*k**5/35 + 9*k**4/4 + 11*k**3/7 + 3*k**2/7 + 4. Solve u(l) = 0 for l.
-1, -2/5, 0
Let d(g) be the first derivative of 2*g**3/3 + 8*g**2 + 32*g - 9. Factor d(t).
2*(t + 4)**2
Factor 3/2*g**3 + 1/2*g**4 + 3/2*g**2 + 0 + 1/2*g.
g*(g + 1)**3/2
Let q(f) be the first derivative of -f**6/2 + 12*f**5/5 - 9*f**4/2 + 4*f**3 - 3*f**2/2 + 3. Let q(g) = 0. Calculate g.
0, 1
Let n = 28/95 + 2/19. Let -n*l**4 + 1/5*l**3 + 6/5*l**2 + 1/5*l - 2/5 = 0. What is l?
-1, 1/2, 2
Let f be (-2)/6 + (-100)/(-12). Find l, given that -l**2 + f*l**3 + 6*l**4 - 2 - l**2 - 8*l - 2*l**2 = 0.
-1, -1/3, 1
Suppose 4*i - 16 = 0, 0 = -n + i + i - 3. Factor 0*j + 0 - 1/2*j**n - 3/2*j**4 - 1/2*j**2 - 3/2*j**3.
-j**2*(j + 1)**3/2
Let z = -8 - -15. Suppose 0 = 2*j - z*j. Factor j + u**4 + 0 - u**2.
u**2*(u - 1)*(u + 1)
Let o(l) be the third derivative of 1/15*l**5 + 0*l - 1/45*l**6 - 1/9*l**4 + 0 + 1/315*l**7 - 2*l**2 + 1/9*l**3. Solve o(r) = 0.
1
What is m in -7*m**3 - 8*m**3 + 14*m**3 = 0?
0
Let a(o) be the third derivative of 4*o**2 + 1/24*o**4 + 0 + 1/48*o**5 + 1/24*o**3 + 1/240*o**6 + 0*o. Solve a(p) = 0.
-1, -1/2
Let z(j) be the first derivative of j**4/16 + j**3/6 + j**2/8 + 4. Factor z(f).
f*(f + 1)**2/4
Let -8*p**2 - 4 + 9*p**2 - p**3 + 2*p**2 = 0. What is p?
-1, 2
Let u = 1/118 - -29/59. Factor -u*m**3 + 1/2*m**4 - m**2 + 0*m + 0.
m**2*(m - 2)*(m + 1)/2
Let c(b) = b**2 + b. Suppose 0 = m + 3*m + 4. Let d(a) = 9*a**2 + 12*a + 3. Let p(f) = m*d(f) + 6*c(f). Solve p(n) = 0 for n.
-1
Let o(x) be the second derivative of -x**8/2240 + x**7/630 - x**6/720 - x**4/3 + 5*x. Let g(q) be the third derivative of o(q). Determine m so that g(m) = 0.
0, 1/3, 1
Suppose -5*k + 0*t + t = -54, 0 = -k + 5*t + 30. Suppose 2*y = -3*y + k. Factor -y*f**4 - 4*f**2 + 4*f**4 - 2*f**5 + 12*f**3 - 8*f**3 + 2 - 2*f.
-2*(f - 1)**3*(f + 1)**2
Let r(o) be the third derivative of o**6/120 + 3*o**5/40 - o**3/6 - 2*o**2. Let u(k) be the first derivative of r(k). What is a in u(a) = 0?
-3, 0
Let x be 60/75*(-60)/(-2). Let c = x - 24. Factor c*t + 1/2*t**2 - 1/2.
(t - 1)*(t + 1)/2
Let a be (-36)/(-2)*1/3. Let r = a + -6. Solve -5/4*h**3 + r*h - 1/2*h**2 - 3/4*h**4 + 0 = 0.
-1, -2/3, 0
Factor 1/2*q + 1/4 - 1/2*q**3 - 1/4*q**4 + 0*q**2.
-(q - 1)*(q + 1)**3/4
Let q = 61 + -61. Let t = 3/100 + 173/900. Factor q - 2/9*u**2 + t*u.
-2*u*(u - 1)/9
Suppose q - 2*d + 1 = -2, 0 = -4*q + d + 9. Find p such that 2*p + 5*p**2 - q*p - 4*p**2 = 0.
0, 1
Let i be -2 + (-3 - -9)/1. Factor -2/3*a**2 + 2/9*a**3 - 10/9*a - 4/9 + 2/9*a**i.
2*(a - 2)*(a + 1)**3/9
Let h(n) be the third derivative of n**7/1155 - n**5/330 - 5*n**2. Factor h(p).
2*p**2*(p - 1)*(p + 1)/11
Factor 0 + 3/5*i**2 + 0*i.
3*i**2/5
Factor 4/3*s**3 + 7/3*s**5 - 16/3*s**4 + 2/3 + 14/3*s**2 - 11/3*s.
(s - 1)**3*(s + 1)*(7*s - 2)/3
Let s(f) be the second derivative of f**4/30 + 2*f**3/5 - 7*f**2/5 - 2*f. Factor s(l).
2*(l - 1)*(l + 7)/5
Let g(l) = -l**3 - 3*l**2 - 2*l + 2. Let a be g(-2). Let x(q) = -5*q**2 + 9*q - 4. Let s(z) = 51*z**2 - 90*z + 39. Let j(t) = a*s(t) + 21*x(t). Factor j(d).
-3*(d - 2)*(d - 1)
Factor 23/4*t**2 - 2 - 5/2*t - 5/4*t**3.
-(t - 4)*(t - 1)*(5*t + 2)/4
Let v(n) be the third derivative of -n**8/504 + 2*n**7/315 + n**6/180 - n**5/45 + 5*n**2. Find f such that v(f) = 0.
-1, 0, 1, 2
Let 18/7*f**3 - 2/7*f - 4/7*f**4 - 18/7*f**2 + 6/7 = 0. What is f?
-1/2, 1, 3
Factor 1/3*m**2 + m + 0.
m*(m + 3)/3
Let z = -49/2 + 26. Let k(a) = a**3 - 7*a**2 - a + 9. Let d be k(7). Let -3/2*u**d - 3*u - z = 0. Calculate u.
-1
Let v = 247/6 + -41. Let x(q) be the first derivative of -2/9*q**3 - 3 + 0*q**2 + 0*q + v*q**4. Factor x(f).
2*f**2*(f - 1)/3
Let i(m) be the second derivative of -m**5/90 - 5*m**4/54 - 8*m**3/27 - 4*m**2/9 - 12*m. Suppose i(h) = 0. Calculate h.
-2, -1
Let b(n) be the first derivative of -24/5*n**5 - 63/4*n**4 + 0*n + 3*n**2 - n**3 + 14*n**6 + 2. Suppose b(h) = 0. Calculate h.
-1/2, 0, 2/7, 1
Suppose 6 = 3*k - u - 8, k - 10 = -u. Suppose 0*i**2 - 6*i + 0*i**2 - 3*i**2 - k - 3*i = 0. What is i?
-2, -1
Let s(g) be the second derivative of g**7/4200 - g**6/450 + g**5/150 + g**3/2 - 2*g. Let l(q) be the second derivative of s(q). Factor l(t).
t*(t - 2)**2/5
Let c(g) be the first derivative of 2*g**5/5 + 2*g**4 + 10*g**3/3 + 2*g**2 - 29. Factor c(b).
2*b*(b + 1)**2*(b + 2)
Let w(s) = -s**2 - 9*s + 22. Let x be w(-11). Factor 2/13*v**2 + x + 2/13*v**3 + 0*v - 4/13*v**4.
-2*v**2*(v - 1)*(2*v + 1)/13
Let v(i) = -36*i**4 + 78*i**2 + 42*i. Let r(b) = -5*b**4 + 11*b**2 + 6*b. Let y be 4 + -6 - 0/(-2). Let j(c) = y*v(c) + 15*r(c). Factor j(w).
-3*w*(w - 2)*(w + 1)**2
Let c(r) = 2*r - 2. Let a be c(2). Let z(l) be the first derivative of 2 - 1/3*l**3 - 1/4*l**4 + l + 1/2*l**a. Factor z(p).
-(p - 1)*(p + 1)**2
Let l(j) = j**2 - j + 2. Let w be l(0). Let h be 5/(10/6) + 0. Solve 2/3*v**w + 0*v - 1/3*v**h + 0 = 0.
0, 2
Find n such that 15/4*n - 3/4*n**4 + 3/2 - 3/4*n**3 + 9/4*n**2 = 0.
-1, 2
Let p(c) = c**3 + 4*c**2 - 4*c - 18. Let h be p(-3). Determine v, given that -4/5*v - 2/5*v**h + 0 + 6/5*v**2 = 0.
0, 1, 2
Let w(g) be the third derivative of -5*g**8/336 + g**6/24 - 32*g**2. Factor w(h).
-5*h**3*(h - 1)*(h + 1)
Let l = 6 + -3. Let x be (0*l/9)/(-2). Determine n so that x - 2*n - 2 - 2*n**2 + 9*n - 3*n = 0.
1
Let o be (20/5)/(3/3). Let 3*n**2 - 3*n + n**2 + o*n**3 - 4 + 0*n - n = 0. What is n?
-1, 1
Let q be -5*((-36)/15 + 2). Let i = 3 - 1. Determine l, given that 2 - 6*l + 0*l - 2*l**3 + 4*l - q*l**i + 4*l**3 = 0.
-1, 1
Let q(v) be the first derivative of -3*v**4/20 - 2*v**3/5 + 3*v**2/10 + 6*v/5 + 19. Solve q(o) = 0 for o.
-2, -1, 1
Let v(j) be the second derivative of -j**5/270 - j**4/108 + 3*j**2/2 - 6*j. Let u(n) be the first derivative of v(n). Let u(s) = 0. What is s?
-1, 0
Let u(j) be the first derivative of -j**4/16 + j**3/4 - j**2/4 - 6. Determine w, given that u(w) = 0.
0, 1, 2
Suppose -d = -6*d + 15. Let g be ((-45)/(-12))/1 - d. Det