**4/6 + 2*k**3/3 - 8*k**2 - 160*k/3 + 29. Factor v(o).
2*(o - 5)*(o + 4)**2/3
Let b(i) be the first derivative of 1/9*i**3 + 0*i + 1/2*i**2 + 24. Let b(g) = 0. Calculate g.
-3, 0
Let m be (108/9 - (-2312)/(-187))/((-4)/22). Find n such that -7/4*n + 3/2 + 1/4*n**m = 0.
1, 6
Let j be 28/20 + 3/5. Factor -l**4 - 2*l**2 + 2*l**2 - 6*l**j - 2*l - 4*l**3 - 2*l - 1.
-(l + 1)**4
Let l(h) be the third derivative of -h**7/945 - 13*h**6/135 - 197*h**5/270 - 121*h**4/54 - 32*h**3/9 - 9*h**2 - 8. Let l(b) = 0. What is b?
-48, -2, -1
Let o(v) be the second derivative of v**5/120 - 5*v**4/72 - 13*v**3/36 - 7*v**2/12 + 3*v - 89. Find l such that o(l) = 0.
-1, 7
Suppose -4982*r = -5057*r + 225. Suppose -32/3*v**3 - 1/3*v**5 - r*v**4 - 56/3*v**2 - 16/3 - 16*v = 0. What is v?
-2, -1
Let s(p) be the third derivative of -3/80*p**6 + 1/12*p**5 - 13*p**2 + 0*p + 1/120*p**7 + 0*p**3 - 1/12*p**4 + 0 - 1/1344*p**8. Solve s(o) = 0 for o.
0, 1, 2
Let l(u) be the first derivative of -5 - 1/12*u**4 + 1/40*u**5 - 1/12*u**3 + 1/2*u**2 + 4*u. Let q(y) be the first derivative of l(y). Factor q(z).
(z - 2)*(z - 1)*(z + 1)/2
Let z(x) = -x**3 + 17*x**2 - 47*x + 74. Let q be z(14). Factor 3/7*t**q - 3/7*t**2 + 6/7*t**3 + 0 - 6/7*t.
3*t*(t - 1)*(t + 1)*(t + 2)/7
Let m(k) be the third derivative of 5/336*k**8 + 0*k**3 - 1/21*k**7 + 0 + 0*k - 10*k**2 + 1/3*k**5 + 5/6*k**4 - 1/8*k**6. Factor m(j).
5*j*(j - 2)**2*(j + 1)**2
Let c(y) = -y**2 - 16*y - 58. Let p be c(-10). Determine r so that 0 - 8/5*r - 8/5*r**2 + 6/5*r**4 + p*r**3 = 0.
-2, -2/3, 0, 1
Let l = 203/1236 + 1/412. Factor -l*j**2 + 0 + 1/6*j.
-j*(j - 1)/6
Let s(w) be the first derivative of -4 + 1/6*w**3 + 1/4*w**6 + 11/8*w**4 + 0*w + 11/10*w**5 - 1/2*w**2. Let s(p) = 0. What is p?
-2, -1, 0, 1/3
Let i(m) be the second derivative of -5*m**4/12 + 25*m**3/6 + 15*m**2 + 20*m. Solve i(r) = 0 for r.
-1, 6
Suppose 5*g - 10 = 3*u, -3*g = -u + 3*u - 6. Let w be (-1)/(27/(-6)) + 336/(-2484). Let 0 - 2/23*s**g + w*s = 0. Calculate s.
0, 1
Determine h so that 16/7 + 20/21*h - 2/21*h**2 = 0.
-2, 12
Let z(i) be the first derivative of -i**5/35 + 17*i**3/21 + 18*i**2/7 + 20*i/7 - 588. Factor z(t).
-(t - 5)*(t + 1)*(t + 2)**2/7
Let m(h) be the second derivative of h**7/77 + 4*h**6/33 + 27*h**5/110 + 5*h**4/33 - 2*h - 11. What is s in m(s) = 0?
-5, -1, -2/3, 0
Let n be 7/(28/(-12)) + -6 + 9. Let f(g) be the third derivative of 1/180*g**5 + 3*g**2 + 0*g + 1/9*g**3 + n - 1/24*g**4. Factor f(q).
(q - 2)*(q - 1)/3
Let m = 365/1204 - 3/172. Let -4/7*n - m*n**2 + 6/7 = 0. What is n?
-3, 1
Suppose -4*k - 2*a = -12, 2*k - a + 3*a - 8 = 0. Let j = -117 + 117. Factor -2/3*y + 1/3*y**4 + j - 4/3*y**3 + 5/3*y**k.
y*(y - 2)*(y - 1)**2/3
Suppose 12 = 35*v - 36*v - 4*d, 0 = -2*d - 8. Determine q so that 0*q + 0 - 2/9*q**5 + 2/9*q**3 + 0*q**v + 0*q**2 = 0.
-1, 0, 1
Let o(a) = a**3 + a**2. Suppose 0 = 3*b - 4 - 5, b = z + 4. Let p(j) = -7*j**3 - 46*j**2 - 48*j - 9. Let l(u) = z*p(u) + 5*o(u). Factor l(q).
3*(q + 1)*(q + 3)*(4*q + 1)
Let m(i) = 42*i**3 + 14*i**2 - 6*i - 22. Let t(c) = -6*c**3 - 2*c**2 + c + 3. Let l(d) = 6*m(d) + 44*t(d). Factor l(q).
-4*q*(q + 1)*(3*q - 2)
Let c(q) = q + 5. Let a be c(-3). Suppose -19*w - 836 = -874. Factor -4/3*b**3 - w*b**a + 2/3 + 0*b.
-2*(b + 1)**2*(2*b - 1)/3
Let s(w) be the third derivative of w**8/2352 - w**6/280 + w**5/210 + 2*w**2 + 4. Factor s(c).
c**2*(c - 1)**2*(c + 2)/7
Let w(g) be the third derivative of 2*g**2 - 5/896*g**8 - 19/32*g**5 + 0 + 0*g**3 + 25/32*g**4 - 93/320*g**6 + 47/560*g**7 - 4*g. Solve w(s) = 0 for s.
-1, 0, 2/5, 5
Suppose -311*q = -316*q + 15. Let z(b) be the first derivative of -1/7*b**q + 1 + 0*b + 3/7*b**2 - 3/28*b**4. Suppose z(j) = 0. What is j?
-2, 0, 1
Factor 8/7*r**3 - 13/7*r**2 - 1/7*r**4 + 0 + 6/7*r.
-r*(r - 6)*(r - 1)**2/7
Let l(p) be the second derivative of -37/33*p**3 - 2/11*p**2 - 34/33*p**4 - 3/10*p**5 + 19*p + 0. Factor l(k).
-2*(k + 1)**2*(33*k + 2)/11
Factor 5 - 5 - 1695*w - 3*w**2 + 1665*w.
-3*w*(w + 10)
Suppose 1084*q**3 - 8657*q**3 - 9*q**5 - 1657 + 5616*q - 1047 + 1608*q**2 + 1341*q**3 + 471*q**4 = 0. What is q?
-1, 2/3, 26
Let x(z) = 15*z**3 - 135*z**2 + 250*z - 115. Let m(t) = 8*t**3 - 67*t**2 + 125*t - 57. Let c(w) = 5*m(w) - 3*x(w). Determine y so that c(y) = 0.
1, 12
Let i(m) = 7 + 8*m - 9*m - 6. Let t be i(5). Let o(x) = -4*x**3 + 3*x**2 + 4. Let k(c) = 5*c**3 - 3*c**2 - c - 5. Let g(p) = t*o(p) - 3*k(p). Factor g(q).
(q - 1)**3
Let o be (-136)/(-612)*(-6)/(-40). Let t(m) be the second derivative of 0 + 4/15*m**3 + 4/5*m**2 + 7*m + o*m**4. Determine j so that t(j) = 0.
-2
Determine r, given that -3*r**2 + 19*r**3 + 8*r**4 + 40*r**3 + 11*r**3 - 15*r**2 = 0.
-9, 0, 1/4
Factor -3*f**2 - 9*f + 7*f + 6*f + 11*f.
-3*f*(f - 5)
Let b(x) = -2*x**3 + 6*x**2 + 6*x - 16. Let v be b(3). Let -1/4*a**3 + v*a**2 - 4*a + 0 = 0. What is a?
0, 4
Let a be ((2 - 0) + -3)*-4. Factor -3*b + 6*b**a - b**5 + 2*b**3 - 2*b**4 - 4*b**2 + 2*b**5.
b*(b - 1)*(b + 1)**2*(b + 3)
Let u be 32/(-126) + 1/12*4. Let b(l) be the third derivative of 0*l**3 + 1/18*l**4 + 0*l - 4*l**2 + 7/45*l**5 + 13/72*l**6 + 0 + u*l**7. What is q in b(q) = 0?
-1/2, -2/5, 0
Let y = -5 + 9. Let t be ((-6)/y)/(2/(6*-1)). Let 3*g**4 + 6*g**3 + 0 - 3*g**2 - t*g**5 - 3/2*g = 0. What is g?
-1, -1/3, 0, 1
Let u(w) be the first derivative of 4 + 11*w - 1/6*w**4 - w**3 - 2*w**2. Let r(d) be the first derivative of u(d). Factor r(h).
-2*(h + 1)*(h + 2)
Suppose -73 = -8*r - 63*r + 140. Find p, given that -2*p**2 - 4/3*p + 0 - 2/3*p**r = 0.
-2, -1, 0
Suppose 14*x - 21*x - 7 = 0. Let y be (-126)/(-30) + (x - 3). Factor -1/5 + 2/5*c - y*c**2.
-(c - 1)**2/5
Let s(k) = 2*k**2 + 2*k - 3. Let b be s(-3). Suppose 0 = -5*v - 5, -5*v + 9*v + 52 = 4*h. Factor -10 - h*c**3 + 3*c**4 + 0*c**4 + 12*c + b*c**2 + 5 - 7.
3*(c - 2)**2*(c - 1)*(c + 1)
Find g such that -10*g**3 - 44*g**2 - 13*g**3 + 55*g**3 - 12*g**3 + 10*g - g**2 = 0.
0, 1/4, 2
Let p(u) = -12*u**5 + 16*u**4 + 12*u**3 - 34*u**2 - 20*u + 13. Let i(t) = -t**5 - t**3 + 1. Let h(r) = 5*i(r) - p(r). Determine o, given that h(o) = 0.
-1, 2/7, 2
Let c(k) be the first derivative of 32 + 14/3*k**2 - 26/3*k - 2/9*k**3. Factor c(s).
-2*(s - 13)*(s - 1)/3
Suppose 135*n + 5*n = 34*n + 318. What is l in -5/3*l**2 + 1/3*l**n + 7/3*l - 1 = 0?
1, 3
Factor -50/11*o**3 - 8/11*o + 0 - 104/11*o**2.
-2*o*(o + 2)*(25*o + 2)/11
Let i(q) be the third derivative of q**8/13440 + q**7/560 + 3*q**6/160 - q**5/6 - 20*q**2. Let c(r) be the third derivative of i(r). Factor c(o).
3*(o + 3)**2/2
Let b(s) = -s**3 - 22*s**2 + 23*s. Let z be b(-23). Let p(n) be the first derivative of -1/5*n + z*n**2 + 7 + 1/15*n**3. Solve p(t) = 0 for t.
-1, 1
What is z in -144/5 - 52/5*z**2 - 2/5*z**3 + 168/5*z + 2/5*z**4 = 0?
-6, 2, 3
Let n(u) = -u**3 - u**2 + 2*u + 1. Let g(s) = s**3 - 5*s**2 - 4*s - 2. Let r(q) = -3*g(q) - 6*n(q). Factor r(c).
3*c**2*(c + 7)
Find q such that 2/7*q**3 - 1/7*q**4 + 0 + 4/7*q + q**2 = 0.
-1, 0, 4
Suppose 32/3*c**2 - 2/3*c**3 - 46*c + 36 = 0. What is c?
1, 6, 9
Let l(t) be the second derivative of t - 1/6*t**4 + 0 + 0*t**2 - 1/35*t**6 + 4/35*t**5 + 2/21*t**3. Suppose l(y) = 0. Calculate y.
0, 2/3, 1
Let i(n) be the third derivative of n**6/180 - 7*n**5/18 + 323*n**4/36 - 289*n**3/9 + 801*n**2. Let i(k) = 0. Calculate k.
1, 17
Let w(m) be the third derivative of m**5/60 + 31*m**4/24 + 5*m**3 + 33*m**2 - 2*m. Factor w(s).
(s + 1)*(s + 30)
Let l(a) = 7*a**3 + 3*a**2 + a - 5. Let y(m) = -4*m**3 - 2*m**2 - m + 3. Let j be 2 + -5 - 0/2 - -8. Let u(d) = j*y(d) + 3*l(d). Find k such that u(k) = 0.
-1, 0, 2
Suppose -87 = -6*u + 39. Suppose 0 = -5*w + d + 8 + 5, -5*w + u = 3*d. Factor 7*z**3 - 5*z**3 + 2*z**2 - w*z**3 + z - 2.
-(z - 2)*(z - 1)*(z + 1)
Let v(q) be the first derivative of q**6 - 7*q**5/10 - 101*q**4/24 + 23*q**3/3 - 5*q**2 + 4*q/3 + 33. Determine g, given that v(g) = 0.
-2, 1/4, 2/3, 1
Factor 26*d**2 + 3*d + 6*d**3 + 5*d + 4*d**3 - 499 + 491.
2*(d + 1)*(d + 2)*(5*d - 2)
Let w = -568/7 + 8534/105. Let p(z) be the second derivative of 0*z**2 + 9*z - 1/3*z**3 - 1/3*z**4 + 1/21*z**7 + w*z**6 + 0*z**5 + 0. Factor p(k).
2*k*(k - 1)*(k + 1)**3
Let v = 4322/6075 + -188/243. Let q = 4/25 - v. Factor 4/3*p + 2 + q*p**2.
2*(p + 3)**2/9
Let b(p) be the second derivative of 0 - 11/78*p**4 - 1/273*p**7 + 4/