+ 8/13*s + 2/13*s**4 - 8/13*s**3 - 12/13*s**2 = 0 for s.
-1, 1, 5
Let t(q) be the third derivative of 0 - 1/90*q**5 + 0*q**6 + 0*q + 0*q**3 + 1/945*q**7 - 1/54*q**4 + 2*q**2. Factor t(u).
2*u*(u - 2)*(u + 1)**2/9
Let w(i) be the third derivative of 0*i + 0 - 6*i**2 + 1/20*i**5 + 8*i**3 - i**4. Find z, given that w(z) = 0.
4
Let h(x) be the second derivative of 3*x**5/160 - 15*x**4/16 + 63*x**3/4 - 147*x**2/2 + 15*x - 13. Find i such that h(i) = 0.
2, 14
Let l(y) be the third derivative of 0*y + 3/8*y**6 - 4/3*y**5 + 0 - 5/6*y**4 - 19*y**2 + 0*y**3. Determine r, given that l(r) = 0.
-2/9, 0, 2
Let g(h) be the third derivative of -h**6/540 + h**5/90 + h**4/27 - 4*h**2 - 3. Determine j, given that g(j) = 0.
-1, 0, 4
Let l(o) be the second derivative of 0 - 21*o + 3/4*o**4 - 7/6*o**3 - o**2. Factor l(j).
(j - 1)*(9*j + 2)
Suppose -3*z - z = -8. Suppose -z*w + 4 = -6. Factor 2*n**5 - 5*n**3 - 3*n**5 + n - 4*n**3 + 7*n**2 - 3*n + w*n**4.
-n*(n - 2)*(n - 1)**3
Factor -11/9*g**3 - 25/9*g + 0 - 35/9*g**2 - 1/9*g**4.
-g*(g + 1)*(g + 5)**2/9
Let h(v) be the second derivative of -v**6/180 + v**5/20 - v**4/6 - 5*v**3/2 + 3*v. Let u(x) be the second derivative of h(x). Factor u(f).
-2*(f - 2)*(f - 1)
Suppose -8*r = -9*r - 1. Let o be -3*4/9*r. Find l, given that 8/3*l**3 + 0 - o*l**4 + 0*l - 4/3*l**2 = 0.
0, 1
Let h be -4 + (4/8 - 43/(-13)). Let k = h - -1/2. Factor 0*q**3 + 0 - 2/13*q - k*q**2 + 4/13*q**4 + 2/13*q**5.
2*q*(q - 1)*(q + 1)**3/13
Let q(o) = 16*o**3 - 31*o**2 + 25*o + 1. Let b(f) = 3*f**2 - 5*f - 3*f**3 - 13*f**2 + 16*f**2. Let x(l) = 33*b(l) + 6*q(l). Factor x(w).
-3*(w - 2)*(w - 1)**2
Let p(z) be the second derivative of 1/12*z**4 - 1/60*z**6 + 1/12*z**3 - 1/4*z**2 + 1/84*z**7 + 8*z - 1/20*z**5 + 0. Factor p(o).
(o - 1)**3*(o + 1)**2/2
Factor 98*o**2 - 108/5*o - 18/5*o**3 + 0.
-2*o*(o - 27)*(9*o - 2)/5
Factor -1/2*u**4 + 9/4*u**3 - 3*u**2 + 0 + u.
-u*(u - 2)**2*(2*u - 1)/4
Let y be 16/12*(-207)/(-966). Suppose -1 = 2*w - 5, 0 = a + 3*w - 10. Factor 0*v - y*v**3 + 0*v**2 - 2/7*v**a + 0.
-2*v**3*(v + 1)/7
Let y(v) = v**2 - v + 1. Suppose -5*z + 7 = 2. Let t(r) = 4*r**3 + r**2 - r + 1. Let u(o) = z*t(o) - y(o). Factor u(p).
4*p**3
Suppose -12*t - 14*t + t**2 - 2*t**2 - 19*t - 44 = 0. What is t?
-44, -1
Let q(s) be the first derivative of 39/2*s**2 + 6*s**3 - 16 + 18*s. Suppose q(h) = 0. Calculate h.
-3/2, -2/3
Let u = -1817 - -7269/4. Let l(r) be the third derivative of 3/2*r**3 - u*r**4 + 0 + 10*r**2 - 1/20*r**5 + 0*r. Solve l(z) = 0 for z.
-3, 1
Let k(j) be the second derivative of 1/51*j**6 + 0 + 7/170*j**5 - 7/51*j**3 - 1/34*j**4 - 21*j - 2/17*j**2. Let k(w) = 0. What is w?
-1, -2/5, 1
Let t = 97 + -162. Let f = -194/3 - t. Let -1/3*d - 2/3 + f*d**3 + 2/3*d**2 = 0. What is d?
-2, -1, 1
Let r(i) be the second derivative of 2*i**7/63 - 4*i**6/15 - 16*i**5/15 - 2*i**4/9 + 10*i**3/3 + 16*i**2/3 - 5*i - 4. Factor r(m).
4*(m - 8)*(m - 1)*(m + 1)**3/3
Let m(y) = -2*y**2 + 4*y - 2. Suppose -8 = 3*p - 6*p - h, 0 = 4*p + 4*h - 16. Let t(q) = 76 + q**p - q - 76. Let n(l) = -m(l) - 6*t(l). Factor n(v).
-2*(v - 1)*(2*v + 1)
Let x(i) = 55*i**2 - 145*i + 40. Let k(n) = 3*n**2 - n + 2. Let d(y) = -20*k(y) + x(y). Factor d(m).
-5*m*(m + 25)
Solve 9/2*t**3 + 7/4*t**4 + 1/2*t**2 - 1/4*t**5 - 9/4 - 17/4*t = 0.
-1, 1, 9
Suppose -2*p = -5*k + 46, -2*p = -3*k + 3 + 27. Suppose -4*q**3 - 7*q**2 + k*q**2 - q**2 + 4*q = 0. What is q?
-1, 0, 1
Factor 48 + 2199*u**2 + 90 - 2196*u**2 + 75*u.
3*(u + 2)*(u + 23)
Let g(h) = 177*h**2 + 11*h + 12. Let f be g(-1). Let s = f - 176. Factor 3 - 9/2*x + 3/2*x**s.
3*(x - 2)*(x - 1)/2
Let h be 3*1/(-6)*-12. Suppose 2*x + v = h, 2*x + 2*v - 14 = 5*v. Factor -w**3 - 5/4*w**2 - 1/4*w**x - 1/2*w + 0.
-w*(w + 1)**2*(w + 2)/4
Factor -399633*y - 398920*y**2 - 18146*y**3 - 328*y**4 - 2*y**5 - 314928 - 247719*y + 48676*y**2.
-2*(y + 1)**2*(y + 54)**3
Let d(w) be the second derivative of -3/13*w**3 + 1/26*w**5 + 0 + 9*w - 1/26*w**4 - 1/195*w**6 + 0*w**2. Determine q so that d(q) = 0.
-1, 0, 3
Let b(m) be the first derivative of -3/2*m**2 - m**4 + 5/2*m**3 - 6 - 7*m. Let h(a) be the first derivative of b(a). Factor h(i).
-3*(i - 1)*(4*i - 1)
Let i(p) = p**3 + 6*p**2 - 3*p - 15. Let r be i(-6). Let b be (r/(-6))/(-1*2/12). Suppose -1/4*s - 1/4*s**2 + 1/4*s**b + 1/4 = 0. What is s?
-1, 1
Factor -16706 + 16706 - 116*f**2 + 24*f + 120*f**3 - 28*f**4.
-4*f*(f - 3)*(f - 1)*(7*f - 2)
Let i = -8 - -12. Factor 8*j**4 - 4*j + 5*j**2 - 15*j**2 + i + 4*j**3 - 2*j**2.
4*(j - 1)*(j + 1)**2*(2*j - 1)
Let l(j) be the third derivative of j**9/5040 - j**8/1120 + j**7/840 - 17*j**4/24 + 22*j**2. Let v(o) be the second derivative of l(o). Solve v(d) = 0 for d.
0, 1
Let x be 0 - (-35 + 33 - (-417)/322). Let y = x + 7/46. Solve y + 9/7*t**2 - 15/7*t = 0 for t.
2/3, 1
Let v = -56 - -65. Suppose -15*j**2 + 3*j**2 + v*j**3 - 3*j**2 - 5 - 4*j**3 + 15*j = 0. Calculate j.
1
Factor 5/3*g**3 + 0 - 1/3*g**2 - 5/3*g + 1/3*g**4.
g*(g - 1)*(g + 1)*(g + 5)/3
Let o(j) = j**3 - 23*j**2 + 110*j + 32. Let z be o(16). Solve 4/3*q**2 - 8/3*q + z = 0.
0, 2
Let l = -211 + 211. Determine a, given that l*a - a**3 + 1/3*a**4 + 0 + a**5 - 1/3*a**2 = 0.
-1, -1/3, 0, 1
Let y(u) = u**3 + 7*u**2 - 5*u + 9. Let b be y(-8). Let l = 3 - b. Solve 2*h**5 - 4*h**3 - l*h**2 - 8*h**4 + 4 + 14*h**2 + 12*h**3 - 10*h + 8*h**2 = 0 for h.
-1, 1, 2
Let r(n) be the third derivative of n**7/840 + n**6/240 + 19*n**4/24 + 14*n**2. Let u(q) be the second derivative of r(q). Factor u(d).
3*d*(d + 1)
Let p = -50/271 + 4486/813. Solve 6*z - p - 2/3*z**2 = 0.
1, 8
Let r be (55/(-22) + 2)/(15/(-18)). Solve -4/5*t - r*t**2 + 4/5*t**3 - 1/5*t**4 + 4/5 = 0.
-1, 1, 2
Let c(t) be the first derivative of -t**3/5 + 3*t**2/2 - 12*t/5 - 97. Suppose c(v) = 0. What is v?
1, 4
Find v such that 0 - 2*v**2 + 2/5*v**3 + 0*v = 0.
0, 5
Let u(r) be the second derivative of -r**7/6 + 13*r**6/72 + r**5/4 - r**3/6 - 6*r. Let s(p) be the second derivative of u(p). Let s(k) = 0. What is k?
-2/7, 0, 3/4
Let c(y) be the second derivative of -y**6/45 + 4*y**5/15 - 2*y**4/3 + 557*y. Find d such that c(d) = 0.
0, 2, 6
Let h(t) be the first derivative of -t**6/480 + 3*t**5/160 - 23*t**3/3 - 11. Let f(o) be the third derivative of h(o). Factor f(g).
-3*g*(g - 3)/4
Let s(z) be the third derivative of -1/210*z**5 + 0 + 0*z - 2/7*z**3 - 6*z**2 + 1/12*z**4. Determine f so that s(f) = 0.
1, 6
Let l = -1224 - -6122/5. Factor -4/5*n - 2/5*n**2 - l.
-2*(n + 1)**2/5
Let h(i) = -5*i**2 - 25*i - 55. Let f(a) = 14 + 7*a + 0*a**2 - a + a**2. Let p(r) = 25*f(r) + 6*h(r). Factor p(u).
-5*(u - 2)*(u + 2)
Suppose 10*a - 43 = 7. Let k(m) be the third derivative of -1/90*m**6 - 1/630*m**7 + 0*m**4 + 0*m**3 + 4*m**2 + 0*m + 0 - 1/45*m**a. Let k(l) = 0. What is l?
-2, 0
Let g = 131/273 + -2/39. Let q be (12/(-16))/(140/(-80)). Factor q*n**3 + g*n**2 + 0*n + 0.
3*n**2*(n + 1)/7
Let z = -24847/9 + 2761. Let x(s) be the third derivative of 0 + 0*s - z*s**3 - 1/36*s**4 + 1/90*s**5 - 14*s**2. Factor x(v).
2*(v - 2)*(v + 1)/3
Let p(c) = 11*c**4 + 2*c**3 - c**2 + c - 1. Let u(z) = z**3 + z. Let k(j) = -2*p(j) + 2*u(j). Let i(t) be the first derivative of k(t). Solve i(w) = 0.
-1/4, 0, 2/11
Let u(z) be the first derivative of -3*z**5/5 - 45*z**4/4 - 54*z**3 + 162*z**2 + 1944*z - 104. Let u(w) = 0. Calculate w.
-6, 3
Let d(s) be the second derivative of s**7/28 + 29*s**6/60 + 9*s**5/5 + 3*s**4/2 - 151*s + 1. What is n in d(n) = 0?
-6, -3, -2/3, 0
Let u(p) be the second derivative of -p**8/168 - p**7/21 - 7*p**6/60 - p**5/10 + 11*p**2 - 4*p. Let m(s) be the first derivative of u(s). Factor m(z).
-2*z**2*(z + 1)**2*(z + 3)
Suppose 0 = -3*j - 4*x + 7 + 2, x = -j + 3. Suppose f**4 + 3*f**j + f - f**2 - f**3 - 3*f**3 = 0. Calculate f.
-1, 0, 1
Suppose 34*y = 36*y + 2*u - 28, -4*y + u + 11 = 0. Factor -14*s - 12 - y*s**2 - 1/2*s**3.
-(s + 2)**2*(s + 6)/2
Let k(n) = n**2 + n + 1. Let c = -46 - -28. Let g(t) = -3*t**3 - 21*t**2 - 18*t - 18. Let y(b) = c*k(b) - g(b). Factor y(x).
3*x**2*(x + 1)
Factor 54*a + 74*a - 58*a**2 - 12 + 8 - 66*a**2.
-4*(a - 1)*(31*a - 1)
Suppose -5*y = -m - 6, -4*y - 4*m = 2*m - 32. Suppose 2/9*w**4 - 2/3*w**y - 2/9*w + 2/9*w**3 + 4/9 = 0. What is w?
-2, -1, 1
Let n be 0/2 + 837/(-27) + 34. Let d(c) = -c**2 - 4*c + 5. Let g be d(-5). Suppose -2/7*w**2