*2. Let b(i) be the third derivative of q(i). Factor b(a).
-2*a**2/9
Let y = 109 - -26. Let o = y + -537/4. Factor 3/4*q**5 + 0*q + 9/4*q**3 + 0 + 9/4*q**4 + o*q**2.
3*q**2*(q + 1)**3/4
Let m(c) = -45*c**2 - 120*c - 80. Let l(w) = -50 - 120*w - 30 - 2*w**3 + w**3 - 19*w**2 - 26*w**2. Let j(d) = -5*l(d) + 4*m(d). Suppose j(i) = 0. Calculate i.
-4, -1
Let q(o) be the second derivative of -5*o**7/42 + 5*o**6/6 - 7*o**5/4 + 5*o**4/4 + 29*o - 2. Find u such that q(u) = 0.
0, 1, 3
Let g(o) = 3*o**2 + o. Let j(m) be the first derivative of -m**4/4 - m**3/3 + 18. Let a(q) = -3*g(q) - 6*j(q). Factor a(i).
3*i*(i - 1)*(2*i + 1)
Suppose -22*t - 595 = -705. Let a(f) be the second derivative of 0 + 1/50*f**t + 0*f**2 + 2/75*f**6 + 9*f + 0*f**4 + 1/105*f**7 + 0*f**3. Factor a(r).
2*r**3*(r + 1)**2/5
Let c(g) be the third derivative of 0*g + 3/260*g**6 + 0*g**3 + 1/273*g**7 + 1/130*g**5 + 0 + 27*g**2 - 1/156*g**4. Let c(m) = 0. What is m?
-1, 0, 1/5
Suppose -7*x + 4*x + 15 = 0. Suppose x*h = 7 + 8. Factor -2*b - 2*b**h + 4*b**2 + 6*b**3 - 6*b.
4*b*(b - 1)*(b + 2)
Let k be (-70)/(-15)*6/7. Suppose -2*x + 8 = -k*f, 5*x - 9 - 11 = -5*f. Factor 10*a**3 - 4 + f - 5*a**2 + 10*a**3 - 33*a**2 + 22*a.
2*(a - 1)*(2*a - 1)*(5*a - 2)
Let t(n) = -n**2 + n - 1. Let l(i) = -3*i**3 - 33*i**2 - 237*i - 363. Let q = -45 - -57. Let p(r) = q*t(r) + l(r). Factor p(y).
-3*(y + 5)**3
Let o = -845 + 1234. Determine x, given that o*x - 4*x**4 - 4 - 140 - 52*x**2 - 149*x - 40*x**3 = 0.
-6, 1
Suppose -384/11 + 302/11*v**3 + 2/11*v**5 - 42/11*v**4 - 870/11*v**2 + 992/11*v = 0. What is v?
1, 3, 8
Let y(g) be the third derivative of g**7/105 + g**6/40 - 3*g**5/10 + g**4/3 - 13*g**2 + 4. Let y(b) = 0. What is b?
-4, 0, 1/2, 2
Let g(n) be the first derivative of -n**7/105 + n**6/30 + n**5/10 - 2*n**4/3 + 4*n**3/3 - 13*n**2/2 - 4. Let u(w) be the second derivative of g(w). Factor u(s).
-2*(s - 2)*(s - 1)**2*(s + 2)
Let m(g) be the third derivative of 12*g**2 + 0*g**4 + 0*g - 1/42*g**7 + 0*g**3 + 1/24*g**6 + 0 + 1/6*g**5. Suppose m(r) = 0. Calculate r.
-1, 0, 2
Let t(p) be the second derivative of p**4/60 + 11*p**3/30 + p**2 - 2*p - 6. Factor t(v).
(v + 1)*(v + 10)/5
Let x be (-10)/(-2) + (1 - 6). Let l(h) be the second derivative of 1/12*h**4 + x + 3*h + 4/3*h**3 + 8*h**2. Factor l(w).
(w + 4)**2
Let f be 2 - 16/4 - -6. Suppose 4*l = -4*x, -2*l + f = 8. Determine h, given that 22*h**x + 0 + 0 - 6*h - 20*h**2 = 0.
0, 3
Let v = -11077 - -88619/8. Factor -v*d + 3/4*d**2 + 0 + 9/8*d**3.
3*d*(d + 1)*(3*d - 1)/8
Suppose 6*b**3 - 108*b + 209*b - 125*b + 27*b**2 - 45 = 0. What is b?
-5, -1, 3/2
Let l(z) be the first derivative of -z**7/140 - z**6/80 + 7*z**2 + 13. Let c(u) be the second derivative of l(u). Factor c(k).
-3*k**3*(k + 1)/2
Suppose -2*j + 3*w - 25 = -7*j, -j - w = -5. Suppose 3*z = -4*k - 3, j*k + 2*z - z + 1 = 0. Let k*u**2 - 2/3*u - 4/9 + 2/9*u**3 = 0. Calculate u.
-1, 2
Let t be (18/(-30) + 0)/(-8 + 7). Find x, given that t*x**4 - 6/5*x**2 - 12/5*x**5 - 12/5*x + 24/5*x**3 + 3/5 = 0.
-1, 1/4, 1
Let -u + 0 + 1/8*u**2 = 0. Calculate u.
0, 8
Determine b so that -21*b**2 + 81*b**2 - 18*b - 5*b**3 - 109*b - 33*b = 0.
0, 4, 8
Let c = 47986/5 + -9596. Factor -c*f**3 + 0 + 3/5*f**2 + 3/5*f**4 + 0*f.
3*f**2*(f - 1)**2/5
Factor 168 + 20*w**2 + 34*w - 6*w**2 - 6*w**2 - 4*w**2 - 6*w**2.
-2*(w - 21)*(w + 4)
Suppose -17/3*s**2 - 3*s + 5/3 - s**3 = 0. What is s?
-5, -1, 1/3
Factor -375*s**2 - 50*s**3 + 109*s**5 + 15*s**4 - 104*s**5 - 160 - 360*s + 115*s**2.
5*(s - 4)*(s + 1)*(s + 2)**3
Let l(i) = 6*i**2 - 6*i**3 + 0*i**2 - 82 + 9*i + 79. Let w(g) = 13*g**3 - 13*g**2 - 19*g + 7. Let u(v) = 7*l(v) + 3*w(v). Factor u(f).
-3*f*(f - 2)*(f + 1)
Let j be (((-44)/(-1))/(-4))/(-1). Let r(q) be the first derivative of -q**3 - 3/2*q**2 + 3/5*q**5 + 0*q + 3/4*q**4 - j. Factor r(v).
3*v*(v - 1)*(v + 1)**2
Let b(h) = 3*h**2 - 6*h + 7. Let l be (-46)/(-11) - 16/88. Let d(v) = -7*v**2 + 13*v - 15. Let m(u) = l*d(u) + 9*b(u). Factor m(s).
-(s - 1)*(s + 3)
Factor 1/2*b**2 - 1/2 + 1/2*b - 1/2*b**3.
-(b - 1)**2*(b + 1)/2
Let s(y) be the second derivative of -2*y**6/45 + y**5/15 + 4*y**4/9 - 8*y**3/9 + 67*y. Let s(w) = 0. What is w?
-2, 0, 1, 2
Solve 3*z - 10/3*z**3 + 1/3*z**5 + 8/3*z**4 - 8/3*z**2 + 0 = 0.
-9, -1, 0, 1
Let u be -11 - (1 + 1 - (-1 - -3)). Let g be 55/u*(-4)/5. Solve 3/5*n**g + 7/5*n**3 + 0 + n**2 + 1/5*n = 0.
-1, -1/3, 0
Let a(q) = q**3 - q**2 - q + 1. Let t(h) = -8*h**3 + 14*h**2 - 6. Let k(d) = -6*a(d) - t(d). Determine s, given that k(s) = 0.
0, 1, 3
Let g(b) be the first derivative of 0*b - 6/5*b**5 + 2*b**3 - 3/4*b**4 + 13 + 0*b**2 + 1/2*b**6. Suppose g(u) = 0. What is u?
-1, 0, 1, 2
Factor 6/19*o**4 + 0*o + 12/19*o**2 + 16/19*o**3 - 2/19.
2*(o + 1)**3*(3*o - 1)/19
Let i(o) be the second derivative of o**4/114 + 2*o**3/57 - 3*o**2/19 - 133*o. Factor i(w).
2*(w - 1)*(w + 3)/19
Let n(u) = u**4 + u**3 + 1. Let z(a) = -a**5 - 10*a**4 - 18*a**3 - 16*a**2 - 9*a - 6. Let r(j) = -4*n(j) - z(j). Solve r(w) = 0 for w.
-2, -1
Let i(c) be the third derivative of 1/8*c**6 + 0*c + 17*c**2 + 0 + 5/6*c**3 + 5/24*c**4 - 5/12*c**5. Solve i(a) = 0 for a.
-1/3, 1
Let f(o) = -11*o**2 - 28*o + 24. Let s(d) = d + 5. Let n be s(-14). Let y(c) = -6*c**2 - 14*c + 12. Let i(z) = n*y(z) + 4*f(z). Suppose i(h) = 0. Calculate h.
-2, 3/5
Let y = -4/3377 + -216068/50655. Let r = y + 14/3. Determine o, given that 0 - 2/5*o**2 + r*o = 0.
0, 1
Let q(m) = -3*m**2 + m + 2. Let g(o) = 0*o - 4*o + 16*o**2 - 2 - 5 - 6*o**2. Let i(y) = -6*g(y) - 21*q(y). What is z in i(z) = 0?
-1, 0
Let h(f) = -4*f**2 + 52*f + 62. Let b(x) = -21*x**2 + 257*x + 311. Let n(v) = -2*b(v) + 11*h(v). Factor n(i).
-2*(i - 30)*(i + 1)
Factor 31*z**4 + 0*z**5 - 51*z**4 + 20*z**4 + 40*z**2 + 15*z - 5*z**5 + 30*z**3.
-5*z*(z - 3)*(z + 1)**3
Let r = -11515 - -11518. Determine v so that 0 + 3*v**2 - 3/5*v**r - 12/5*v = 0.
0, 1, 4
Let m(d) be the second derivative of -d**4/4 - 5*d**3 + 12*d + 2. Factor m(o).
-3*o*(o + 10)
Suppose 42*n - 97 - 48 = -19. Factor 0 + 5/6*w**n + 5/6*w**2 - 5/3*w.
5*w*(w - 1)*(w + 2)/6
Let a(m) = 31*m**2 - 13*m. Let h(v) = 7*v**2 - 3*v. Let p(t) = 2*a(t) - 9*h(t). Factor p(d).
-d*(d - 1)
Let o(q) be the third derivative of -q**5/75 + 3*q**4/10 - 28*q**3/15 + q**2 - 29*q. Factor o(i).
-4*(i - 7)*(i - 2)/5
Suppose 4*a - 4 = -r + 3*a, -3*r + a - 4 = 0. Let r - 4/3*m**2 - 16/3*m**3 + 0*m - 4*m**4 = 0. Calculate m.
-1, -1/3, 0
Let i be (2 + -2 + -1)*-1. Suppose i = c - 4. Determine b so that 23*b**4 + 14*b**2 + 5*b**3 - 9*b**5 - 2*b - 35*b**3 + b**c + 3*b**4 = 0.
0, 1/4, 1
Let r be 1 + 10 + 24 + -26. Let k be r + 6 + -12 + (-1)/1. Suppose 0 + 2/5*t**4 - 4/5*t**3 + 2/5*t**k + 0*t = 0. Calculate t.
0, 1
Find d such that 65*d - 10 - 10*d**5 - 4 + 0 - 23*d**4 - 35*d**2 - 55*d**3 + 78*d**4 - 6 = 0.
-1, 1/2, 1, 4
Let t(w) be the second derivative of w**6/600 + w**5/150 + w**4/120 - 3*w**2 + 14*w. Let s(c) be the first derivative of t(c). Solve s(x) = 0.
-1, 0
Let k(s) = 5*s**3 + 75*s**2 - 267*s + 3. Let y(n) = -5*n**3 - 75*n**2 + 268*n - 2. Let c(t) = -2*k(t) - 3*y(t). Factor c(r).
5*r*(r - 3)*(r + 18)
Let v be (4 - (-12)/(-8))*(-12)/(-10). Factor -554 - v*y**5 - 33*y**2 + 554 + 27*y**3 + 12*y - 3*y**4.
-3*y*(y - 1)**3*(y + 4)
Factor -x**4 - 1/4*x - 1/4*x**5 + 0 - x**2 - 3/2*x**3.
-x*(x + 1)**4/4
Let k(g) = g**3 + 8*g**2 + 8*g + 9. Let w be k(-7). Let c = -48 - -50. Factor -u**w + 3*u**2 - u**c - 4*u + u**2 + 2.
2*(u - 1)**2
Let n(k) be the third derivative of k**6/120 - k**5/2 + 19*k**4/8 - 14*k**3/3 - 27*k**2 + k. Factor n(s).
(s - 28)*(s - 1)**2
Let b(g) be the first derivative of -3*g**4/4 + 39*g**2/2 - 36*g - 99. Solve b(s) = 0 for s.
-4, 1, 3
Let c(d) be the second derivative of -d**7/6300 - d**6/900 + d**5/100 - d**4/12 - 7*d. Let u(j) be the third derivative of c(j). Factor u(o).
-2*(o - 1)*(o + 3)/5
Let a = 1106 + -82949/75. Let r(j) be the second derivative of -8*j + 2/15*j**3 - 1/25*j**5 + 0 + a*j**6 + 0*j**2 - 1/30*j**4. Let r(p) = 0. Calculate p.
-1, 0, 1, 2
Let x(y) be the first derivative of 9*y**5/10 + 5*y**4/4 - 17*y**3/6 - y**2/2 - 61. What is p in x(p) = 0?
-2, -1/9, 0, 1
Let n be ((-1548)/8600)/(6/(-5)). Let h(x) be the third derivative of 0*x**4 + 0*x - 2*x**3 + n*x**5 + 1/40*x**6 + 0 - 10*x**2. What is i in h(i) = 0?
-2, 1
Su