*a**3 + 417*a**2 + 155*a**4 - 45*a**5 + 307*a**4 + 1117*a**2 + 1360*a - 692*a = 0.
-1, -2/3, -2/5, 13
Let b(a) be the first derivative of -4*a**5/45 - 185*a**4/9 + 1492*a**3/27 - 374*a**2/9 - 96. Suppose b(g) = 0. What is g?
-187, 0, 1
Let v be (6/14)/((-182)/(-637)). Find b such that -9/2*b**3 + 9/2*b**4 - 3/2*b**5 + 0*b + 0 + v*b**2 = 0.
0, 1
Let h(r) be the first derivative of r**6/288 - r**5/32 + 5*r**4/48 + 16*r**3/3 - 28. Let j(a) be the third derivative of h(a). Factor j(f).
5*(f - 2)*(f - 1)/4
Let q be 9/36 + (-9)/24 + (-231)/(-168). Factor -7/4*k**3 + 0*k + 3/4*k**2 + 0 - 1/4*k**5 + q*k**4.
-k**2*(k - 3)*(k - 1)**2/4
Factor 4/5*d**4 + 43/5*d**3 - 168/5*d + 17*d**2 + 36/5.
(d - 1)*(d + 6)**2*(4*d - 1)/5
Let z(r) = 3*r - 39. Let w be z(14). Let o(s) be the second derivative of 0*s**2 - 1/3*s**w - 8*s + 1/12*s**4 + 0. Let o(n) = 0. Calculate n.
0, 2
Let n = -24 - -27. Factor -1 + n*i**2 + 2*i**3 + i**3 - 3*i - 2.
3*(i - 1)*(i + 1)**2
Let n(o) be the first derivative of 4*o**3/3 - 84*o**2 + 1764*o - 58. Factor n(t).
4*(t - 21)**2
Let d be (126/70)/(3/5). Let x(c) be the second derivative of 11*c + 2/195*c**6 + 0 - 1/273*c**7 - 1/130*c**5 + 0*c**d + 0*c**2 + 0*c**4. Factor x(p).
-2*p**3*(p - 1)**2/13
Let d be (-1)/((-24)/(-161))*4/(-10). Let l = -1/60 + d. Let 2/3*r**2 - l*r**3 + 0 + 14/9*r**4 + 4/9*r = 0. Calculate r.
-2/7, 0, 1
Let d = -1637 - -19663/12. Let f = 9/4 - d. Solve 0 - 4/3*u + f*u**2 = 0 for u.
0, 2
Let d(j) = -2*j**2 + 22*j - 8. Let a be d(9). Suppose -u = -2*m, 5*m = -3*u + m + 10. Find g, given that a + 8 + 4*g**u + 8 + 20 - 32*g = 0.
4
Suppose -6 = 2*x - 2*r, 21*x - r = 26*x - 3. Suppose x + 1/6*c**2 - 1/3*c = 0. Calculate c.
0, 2
Suppose -20*h - 19*h + 117 = 0. Solve -3/5*x**h - 9/5*x**2 + 3/5*x**4 + 6/5 + 3/5*x = 0 for x.
-1, 1, 2
Suppose -11*u + 25 = -8. Let l(z) = z**2 - 3*z. Let k be l(u). Factor k*o + 0 + 10/9*o**3 + 4/9*o**2.
2*o**2*(5*o + 2)/9
Factor 0 - 3/5*z**3 - 3/5*z**2 + 6/5*z.
-3*z*(z - 1)*(z + 2)/5
Let s(r) be the second derivative of -1/5*r**5 + r - 2*r**2 + 2/3*r**3 + 1/3*r**4 + 5. Let s(u) = 0. What is u?
-1, 1
Find j, given that -21/5*j**2 + 141/5*j + 42/5 = 0.
-2/7, 7
Let m(c) = c**4 + 11*c**3 + 11*c**2 + c. Let y(l) = -l**4 + 4*l**2 - 4*l**2 + 2*l - l**3 - 3*l - l**2. Let w(x) = m(x) + 6*y(x). Factor w(a).
-5*a*(a - 1)**2*(a + 1)
Let h = -62 - -66. Factor 2*a**2 + a**3 - 39*a**h + 40*a**4 - a**5 - 3*a**2.
-a**2*(a - 1)**2*(a + 1)
Let w be 4 + (5 - 15/5). Let i(b) be the third derivative of 0*b + 1/2*b**3 + 0 + 4*b**4 + 96/5*b**5 + 2048/35*b**7 + 256/5*b**w - 4*b**2. Factor i(z).
3*(8*z + 1)**4
Let q be (8/(-64))/(142/(-136) + 1). Let w = 233/78 - q. Factor 0 - w*f**4 - 4/13*f**3 + 0*f - 2/13*f**2.
-2*f**2*(f + 1)**2/13
Let g(d) = 15*d**2 + 17*d + 15. Let z = 350 - 344. Let l be ((-26)/4)/(2/(-4)). Let b(h) = -7*h**2 - 8*h - 7. Let u(k) = l*b(k) + z*g(k). Factor u(o).
-(o + 1)**2
Let g(q) be the third derivative of q**6/180 - q**5/12 + q**4/3 + 3*q**3/2 - 9*q**2. Let o(y) be the first derivative of g(y). Factor o(s).
2*(s - 4)*(s - 1)
Let g(x) be the third derivative of -3/32*x**4 + 0*x**3 + 1/80*x**5 + 0*x - 6*x**2 + 0. Factor g(b).
3*b*(b - 3)/4
Factor -6*y**3 - 225*y**2 + 19*y**3 - 18*y**3 + 511 - 2415*y + 2134.
-5*(y - 1)*(y + 23)**2
Let p(x) be the second derivative of -6*x - 1/2*x**3 - 9/5*x**2 + 0 - 1/20*x**4. Solve p(z) = 0.
-3, -2
Let c(y) = -2*y**3 + y**2 + 2*y. Let z(l) = 13*l**3 - 4*l**2 - 23*l + 10. Let d(x) = -4*c(x) - z(x). Factor d(f).
-5*(f - 1)**2*(f + 2)
Suppose 25*s - 20*s = 60. Suppose 8*f - s*f = -20. What is j in 2*j**3 + 3*j**f - 6*j**2 + 7*j**3 - 6*j**5 = 0?
-2, 0, 1
Let v(x) be the first derivative of 1/3*x**4 - 4/9*x**3 - 10 + 4/15*x**5 + 0*x - 2/3*x**2. Let v(t) = 0. What is t?
-1, 0, 1
Let r(x) = 3*x**2. Let s be r(1). Suppose -s*t = -t - 18. Factor 0*w - 2*w**3 + 7*w - w - 5 + t.
-2*(w - 2)*(w + 1)**2
Let s(m) be the third derivative of -m**7/504 - m**6/36 - m**4/24 - 16*m**2. Let w(o) be the second derivative of s(o). Factor w(l).
-5*l*(l + 4)
Let p(x) be the first derivative of x**6/120 + x**5/10 + x**4/3 - 5*x - 11. Let n(w) be the first derivative of p(w). Factor n(q).
q**2*(q + 4)**2/4
Solve -5*w + 35 - 125*w**2 + 5*w**3 + 221*w**2 - 131*w**2 = 0 for w.
-1, 1, 7
Let p(w) be the third derivative of 3/5*w**5 + 0*w + 0 + 27/112*w**8 - 77/120*w**6 - w**2 - 6/35*w**7 - 1/6*w**4 + 0*w**3. Factor p(c).
c*(c - 1)*(c + 1)*(9*c - 2)**2
Factor -2/17*r**3 - 78/17*r + 22/17*r**2 + 90/17.
-2*(r - 5)*(r - 3)**2/17
Let l(q) be the first derivative of 2*q**6/15 - q**5/2 + q**4/2 + q**3/3 - q**2 - 9*q - 9. Let s(r) be the first derivative of l(r). Let s(x) = 0. What is x?
-1/2, 1
Let q = 24977/62430 - 1/12486. Solve -4/3 + q*a + 2/15*a**2 = 0.
-5, 2
Let m(p) be the third derivative of p**6/6 - p**5/12 - 5*p**4/6 + 5*p**3/6 - 9*p**2. Solve m(i) = 0 for i.
-1, 1/4, 1
Suppose 0 = -27*n + 84 + 24. Let d(r) be the second derivative of -5/3*r**n + 0 + 25/6*r**3 + 11*r + 1/4*r**5 - 5*r**2. Solve d(q) = 0.
1, 2
Let b be 65/75 - 6/30. Determine s, given that -2/3*s**2 + 2/3*s**4 + 0*s + 2/3*s**3 - b*s**5 + 0 = 0.
-1, 0, 1
Let j(y) be the first derivative of -81/2*y**2 + 0*y + 9*y**3 - 3/5*y**5 - 20 + 9/4*y**4. Let j(x) = 0. Calculate x.
-3, 0, 3
Factor -800/13*v**2 + 0*v - 40/13*v**3 + 32/13*v**4 + 0 - 2/13*v**5.
-2*v**2*(v - 10)**2*(v + 4)/13
Let q(i) = 4*i**2 + 16*i + 12. Let o(g) = -3*g + 1. Let a(n) = -n. Let y(d) = -4*a(d) + o(d). Let l(p) = -q(p) + 24*y(p). Solve l(k) = 0.
-1, 3
Let d(p) be the first derivative of -19 + 4/45*p**3 + 0*p + 1/15*p**2 + 1/30*p**4. Factor d(x).
2*x*(x + 1)**2/15
Let h(g) = -g + 16. Let j be h(7). Suppose j = 3*z - 3. Find o, given that 4/9*o**2 + 0 + 0*o - 2/3*o**3 + 2/9*o**5 + 0*o**z = 0.
-2, 0, 1
Solve -4*d**2 - 1/2*d**3 + 4 + 1/2*d = 0 for d.
-8, -1, 1
Let -7/6*s**4 - 1/6*s**5 + 2 - 5/6*s**2 + 8/3*s - 5/2*s**3 = 0. What is s?
-3, -2, -1, 1
Let a = -70 - 51. Let o = a - -123. Factor 2/5*n**o + 0 - 2/5*n.
2*n*(n - 1)/5
Let k(s) = 43*s + 9. Let b be k(-3). Let o be 3*(380/b + 1*4). What is m in 1/2 - 3/2*m**3 - o*m + 7/2*m**2 = 0?
1/3, 1
Let r be 1342/280 - (4 + 13/(-4)). Let y = r - 29/10. Factor 0*a + 0*a**2 - 4*a**5 - y*a**3 - 36/7*a**4 + 0.
-4*a**3*(a + 1)*(7*a + 2)/7
Let b be 1/4 + (-94)/(-8). Let d(u) = u**3 + 2*u**2 - 4*u. Let h be d(-3). Factor h*l**5 - b*l**2 + 4*l**3 - 25*l**4 + 13*l**4 + 14*l**3 + 3*l.
3*l*(l - 1)**4
Let h(i) be the third derivative of 5*i**8/336 - i**7/30 - i**6/15 + i**5/15 - 123*i**2. Solve h(v) = 0 for v.
-1, 0, 2/5, 2
Find a such that 12/5 + 6/5*a**4 - 34/5*a**2 + 2*a**3 - 26/5*a = 0.
-3, -1, 1/3, 2
Factor 10098*c**2 - 200*c**3 + 47090 + 0*c**3 - 117612*c + 60721 + 6*c**4 - 100*c**3 - 3*c**4.
3*(c - 33)**3*(c - 1)
Let f be (-3 - 0 - 0) + 0/4. Let p be (3 - (-11)/f)*-3. Factor 2/9*z**3 + 0 + 2/9*z**p - 4/9*z.
2*z*(z - 1)*(z + 2)/9
Let d(j) be the second derivative of -j**8/30240 + j**6/3240 - 5*j**4/4 - 12*j. Let a(p) be the third derivative of d(p). Factor a(z).
-2*z*(z - 1)*(z + 1)/9
Let g be ((-4)/6 - (-1321)/1968)*-4. Let y = g - -1333/1148. Find t, given that 4/7 + 12/7*t - y*t**3 - 4/7*t**5 - 12/7*t**4 + 8/7*t**2 = 0.
-1, 1
Suppose 4 = -3*z + 4. Let w(r) be the third derivative of -1/120*r**5 - 3/4*r**3 + z*r - 2*r**2 + 0 - 1/8*r**4. Factor w(f).
-(f + 3)**2/2
Suppose 35*h - 5*h = 60. Let c(r) be the second derivative of 9/20*r**6 + 13/8*r**4 + 5*r**3 + 13*r - 9/4*r**5 + 3*r**h + 0. Find l such that c(l) = 0.
-1/3, 2
Let k be (-417*(-4)/12)/1. Let a = k + -971/7. Factor 0 + a*o + 2/7*o**2.
2*o*(o + 1)/7
Suppose -2*u - 6 = -b, b + 13*u = 14*u + 3. Suppose -3 = q - 6. Factor -1/3*h**q - 4/3*h**2 + b - h.
-h*(h + 1)*(h + 3)/3
Find l such that -2/3*l**4 - 6/5 - 2/15*l**5 - 4/15*l**3 + 28/15*l**2 + 2/5*l = 0.
-3, -1, 1
Suppose -2*a - v + 2 = 0, -2*a - 5*v = 2*a + 8. Factor 37*f**3 - 21*f**a - 14*f**3.
2*f**3
Let y(h) be the third derivative of 1/1260*h**7 + 0*h - 25*h**2 + 0*h**3 + 1/72*h**5 - 1/180*h**6 + 0 - 1/72*h**4. Suppose y(w) = 0. What is w?
0, 1, 2
Let c be (-6)/8 + (-23)/(-4). Suppose -2*g + c*g = 12. Suppose -x**5 + 2*x**2 + 9*x**3 + x**2 + g*x**5 + 9*x**4 = 0. What is x?
-1, 0
Let s(d) be the third derivative of -3*d**8/112 - 26*d**7/35 - 103*d**6/20 - 36*d**5/5 + 297*d**4/8 + 54*d**3 + 736*d**2. Let s(x) = 0. 