/13*z**3 + 65514/13*z - 128164/13.
2*(z - 179)**2*(z - 2)/13
Let w(j) = -2*j**3 + j**2 - j - 2. Let u be w(-1). Find g such that -47*g**u - 2*g**3 + 5*g - 51*g**2 + 113*g**2 - 15 - 3*g**3 = 0.
-1, 1, 3
Determine l, given that 10689*l + 7220*l - 7688 - 2*l**4 - 8186*l**2 - 2285*l + 252*l**3 = 0.
1, 62
Let i(b) be the first derivative of -4/45*b**5 + 4/9*b**2 + 8/27*b**3 + 1/27*b**6 - 1/6*b**4 - 22 + 0*b. Factor i(q).
2*q*(q - 2)**2*(q + 1)**2/9
Suppose d - 4*k = 23, 26 = 4*d - 4*k - 6. Factor 268*v + d*v**2 + 5 + 2*v**2 - 258*v.
5*(v + 1)**2
Suppose 9*s - 14*s = 10*s. Suppose 7*v = 2*v + 10, -5*j - 3*v = -16. Factor 3*y**3 + 0*y**j + 9 - 2*y + s + 3*y**2 - 13*y.
3*(y - 1)**2*(y + 3)
Let f = -573/5 - -2269/20. Let y = f - -401/140. Find z such that -2/7*z**3 - 10/7*z + y*z**2 + 0 = 0.
0, 1, 5
Determine o, given that o**3 + 0 + 3/8*o**5 + 0*o**2 - 7/4*o**4 + 0*o = 0.
0, 2/3, 4
Determine m, given that 2605*m**5 + 16*m**2 - 126*m + 139*m**2 - 155*m**4 - 2610*m**5 - 34*m + 165*m**3 = 0.
-32, -1, 0, 1
Let h be 4/((-40)/(-15))*24/9. Factor 245*s**4 + 252*s**4 - 496*s**h - s**2.
s**2*(s - 1)*(s + 1)
Let q be ((-12)/10)/((-25936)/8105). Factor 33/8*l - 9/8*l**2 + q*l**4 - 9/8*l**3 - 9/4.
3*(l - 3)*(l - 1)**2*(l + 2)/8
Let r(k) = -2*k**4 + k**3 - 3*k - 1. Let x(u) = 7*u**4 + 38*u**3 + 568*u**2 + 2841*u + 2307. Let f(a) = -3*r(a) - x(a). Suppose f(w) = 0. What is w?
-16, -12, -1
Let j = -495 + 501. Let f be (84/(-245))/((-3)/(63/j)). Let f*g - 2/5*g**4 + 2*g**2 + 0 + 2/5*g**3 = 0. What is g?
-1, 0, 3
Solve 38/11*p - 2/11*p**2 + 0 = 0 for p.
0, 19
Let i be 5/(125/5) + 12/(-660) + -8 + 10. Determine f so that 2/11*f**3 + 12/11*f**2 + 16/11 + i*f = 0.
-2
Let r be -83 - -79 - (-6)/1. Factor 21 - 21 - 7*y**3 + 5*y**2 + 0*y**2 - y**r.
-y**2*(7*y - 4)
Let d = 173 + -171. Determine f, given that 66 + 3*f**2 + f**d - 128 - 22*f + 72 = 0.
1/2, 5
Let s(o) be the second derivative of 3/5*o**2 - 7/10*o**3 + 3/25*o**5 + 1/5*o**4 - o + 0. Find h, given that s(h) = 0.
-2, 1/2
Find x, given that -245/2*x**2 - 1440 - 5/2*x**3 - 1560*x = 0.
-24, -1
Suppose 871*r - 866*r - 3025 = 0. Let n = 3026/5 - r. Factor 1/5*j**5 + 1/5*j - 2/5*j**3 - 1/5 - n*j**4 + 2/5*j**2.
(j - 1)**3*(j + 1)**2/5
Let j(q) be the third derivative of q**8/2240 + q**7/140 + q**6/48 - 11*q**4/24 - q**3/6 - 87*q**2. Let x(i) be the second derivative of j(i). Factor x(v).
3*v*(v + 1)*(v + 5)
Let g(u) be the third derivative of -11*u**6/60 + 39*u**5/5 - 21*u**4/4 + 13*u**2 - 175. Find w such that g(w) = 0.
0, 3/11, 21
Suppose 0*q - 3*q = 5*j + 5, -q = -5*j + 15. Determine z so that 5*z**j + 0 + 2*z - 30 - 3*z + 6*z = 0.
-3, 2
Suppose -50*n + 120 = 1870. Let l be 1*((-49)/n + -1). Determine r, given that -l*r**2 + 8/5*r - 8/5 = 0.
2
Let l(t) be the first derivative of 5*t**4/4 - 5*t**3 - 25*t**2 + 120*t - 4328. Factor l(g).
5*(g - 4)*(g - 2)*(g + 3)
Suppose -3*z - 2*o + 34 = 0, 128*z = 124*z + 2*o - 20. Factor 3/2 + 7/4*f - 7/4*f**3 - 5/4*f**z - 1/4*f**4.
-(f - 1)*(f + 1)**2*(f + 6)/4
Suppose 6*h - 197 = 4*t - 235, -41 = -3*h - t. Factor -3/2 - h*q - 8*q**2 + 3/2*q**4 - q**3.
(q - 3)*(q + 1)**2*(3*q + 1)/2
Let v(c) be the first derivative of c**4/4 + 14*c**3/3 - 51*c**2/2 - 10767. Factor v(y).
y*(y - 3)*(y + 17)
Let q(x) = 2*x**2 + 14*x - 150. Let m(p) = -2*p**2 - 11*p + 150. Let c(n) = -4*m(n) - 6*q(n). Suppose c(s) = 0. Calculate s.
-15, 5
Let v(t) be the first derivative of -1/3*t**4 + 4 + 8*t**3 - 72*t**2 + 5*t. Let i(r) be the first derivative of v(r). Let i(d) = 0. Calculate d.
6
Let v = 272211 + -272113. Factor -v - 216*c**2 - 432/7*c**3 - 252*c.
-2*(6*c + 7)**3/7
Let u(g) be the second derivative of -g**7/210 + g**6/40 - g**5/30 - 41*g**2/2 - g + 18. Let h(p) be the first derivative of u(p). Factor h(l).
-l**2*(l - 2)*(l - 1)
What is i in -33*i + 59 - 11 - 4*i**4 - 47*i - 5*i**2 + 24*i**3 + 17*i**2 = 0?
-2, 1, 6
Let j be 432/792*88/12. Let r(b) be the first derivative of 11*b**3 + 5/2*b**j + 1/5*b**5 + 16*b + 20*b**2 + 13. Suppose r(v) = 0. Calculate v.
-4, -1
Let w = 71599 - 71597. Let 1/3*s + 2*s**2 - 1/3*s**3 - w = 0. What is s?
-1, 1, 6
Let w(s) be the second derivative of s**4/42 + 2*s**3/21 + s**2/7 + 2*s + 239. Factor w(n).
2*(n + 1)**2/7
Let q(u) be the first derivative of -3*u**4/4 + 831*u**3 + 9310. Factor q(g).
-3*g**2*(g - 831)
Let w(d) be the second derivative of -d**6/120 - 69*d**5/80 + d**4/16 + 209*d**3/24 + 69*d**2/4 - 1359*d. Factor w(b).
-(b - 2)*(b + 1)**2*(b + 69)/4
Let s be 6/(-16)*(-68)/51*-4377. Let c = 2189 + s. Factor -2/3 + 1/6*w**2 - c*w.
(w - 4)*(w + 1)/6
Let x be 23 - (21 + (-1 - 1)). Determine t, given that 2/17*t**3 - 26/17*t - 12/17 - 14/17*t**2 + 2/17*t**x = 0.
-2, -1, 3
Solve -16*g + 8025*g**2 + 38 - 10*g + 76 - 29*g - 8026*g**2 = 0 for g.
-57, 2
Solve -3/2*q**5 + 471*q**2 - 720*q + 432 - 303/2*q**3 + 24*q**4 = 0 for q.
2, 3, 4
Let a(x) = x. Let b = -1 - 0. Let u(l) = -2*l**2 + 1. Let s(y) = 2*y**2 + y - 3. Let z(t) = s(t) - u(t). Let w(n) = b*a(n) + z(n). Factor w(m).
4*(m - 1)*(m + 1)
Let m(l) = l - 3. Let u be m(6). Let q = -120069 + 840485/7. Factor -6/7*c**u - q*c + 6/7*c**2 + 2/7*c**4 + 0.
2*c*(c - 1)**3/7
Let f(s) be the third derivative of 5/12*s**5 + 0 + 1/24*s**6 + 0*s + 5/2*s**3 + 45*s**2 + 35/24*s**4. Factor f(m).
5*(m + 1)**2*(m + 3)
Let b(m) be the third derivative of m**6/480 - 19*m**5/240 + 17*m**4/32 + 117*m**3/8 - 5708*m**2. Solve b(f) = 0 for f.
-3, 9, 13
Let i = 173/40 + -1507/1560. Let j = i - 9/13. Let 8/3 + j*p + 2/3*p**2 = 0. Calculate p.
-2
Let t(p) = -p**3 + 11*p**2 - 20*p + 54. Let j be t(9). Let u(i) be the first derivative of -6*i**2 - 6 + 1/3*i**3 + j*i. Let u(w) = 0. What is w?
6
Let j(x) = -x**2 + 8*x - 10. Let l be j(5). Suppose 0 = -5*w + 2*k + 288, w - l*k - 51 = 2. Determine o so that 2*o**2 - 2*o**3 + o**3 - 59*o + w*o = 0.
0, 1
Let p = 60 + -48. Factor -55*c + 9*c**2 - 30 - 10*c**2 + 5*c**3 - p*c**2 - 7*c**2.
5*(c - 6)*(c + 1)**2
Let y(o) be the first derivative of 12/35*o**5 + 0*o**2 - 6/7*o**3 - 3/28*o**4 + 0*o - 123 - 1/14*o**6. Find f, given that y(f) = 0.
-1, 0, 2, 3
Let g(m) be the third derivative of 0*m**3 + 0*m**4 + 10*m**2 - 1/15*m**5 + 1/105*m**7 + 0*m + 2 - 1/60*m**6. Solve g(i) = 0.
-1, 0, 2
Suppose g + 13 = -3*a, -94*a + 5 = -95*a. Factor -6/11*o**g - 96/11*o - 384/11.
-6*(o + 8)**2/11
Let b be (-5)/(30/3)*-18. Find l such that -b*l**3 + 1845*l**4 + 0 + 0 - 1842*l**4 = 0.
0, 3
Let g be (23/(-230))/1 - (-131)/210. Let p(v) be the second derivative of 6/7*v**2 + 2*v + 1/14*v**4 + 0 + g*v**3. Factor p(a).
2*(a + 3)*(3*a + 2)/7
Let u be (-270)/(-60) + (-2)/(-4). Suppose 2*j - 12*v - u = -17*v, 0 = 4*j - 4*v + 4. Factor 0*m + j + 4*m**3 - 2*m**2 + 5/2*m**4.
m**2*(m + 2)*(5*m - 2)/2
Let d = 142/321 - -1858/1605. What is w in -d*w**2 + 4/5*w**3 + 0*w + 0 = 0?
0, 2
Let x be 6/40 + 4142/30520. Find b such that -x*b**3 + 4/7 + 2/7*b - 4/7*b**2 = 0.
-2, -1, 1
Suppose -273*o - 68 = -277*o. Let m(r) = -6*r**2 + 103*r - 17. Let i be m(o). Factor i*b + 4/3*b**4 - 8/3*b**2 + 0*b**3 + 4/3.
4*(b - 1)**2*(b + 1)**2/3
Let s = -2468891/21 + 117630. Let w = s + -190/3. Factor 0*t**2 + w*t**3 + 6/7 - 9/7*t.
3*(t - 1)**2*(t + 2)/7
Let v = -1422 - -34087/24. Let t = -11/8 - v. Solve 1/6*a + 1/6*a**2 - t = 0.
-2, 1
Let k be 18*(1 + 2)/(-6). Let d be 38/7 + -8 + (-27)/k. Determine w so that 6/7 - 3/7*w**2 + d*w = 0.
-1, 2
Suppose 1464*k = 1473*k - 72. Suppose 0 = n - 3*n + 8. Factor -n*y**2 - 6 + k*y + 8*y - 1 + 23 - 4*y**3.
-4*(y - 2)*(y + 1)*(y + 2)
Let l(b) be the second derivative of b**5/40 - 3*b**4/16 - b**3 - 16*b**2 + 6*b + 2. Let y(p) be the first derivative of l(p). Factor y(s).
3*(s - 4)*(s + 1)/2
Factor -2*l - l**3 - 24*l - 609461 + 609485 + 9*l**2.
-(l - 4)*(l - 3)*(l - 2)
Let o(x) be the first derivative of 3*x**6/4 - 3*x**5/2 - 75*x**4/4 - 5*x**3 + 141*x**2/4 + 45*x/2 + 15228. Suppose o(g) = 0. What is g?
-3, -1, -1/3, 1, 5
Let p be 10092/14*(-61)/(2745/(-70)). Suppose -1160*x - 1/3*x**3 + p + 39*x**2 = 0. Calculate x.
1, 58
Let s(i) be the third derivative of i**6/120 + 41*i**5/60 + 79*i**4/24 + 13*i**3/2 + 859*i**2. Determine t, given that s(t) = 0.
-39, -1
Factor 5963364/5*i**2 + 1618059432/5*i + 0 + 7326/5*i**3 + 3/5*i**4.
3*i*(i + 814)**3/5
Let j(x) be the first derivative of 5*x**3/3 - 555*x**2/2 - 2300*x + 2912. Fin