 0 - 1/4*s.
-s*(s - 1)**2*(s + 1)/4
Let g = 1/43306 - -86603/389754. Factor g*d**2 - 8/9*d - 10/9.
2*(d - 5)*(d + 1)/9
Let l(i) = 4*i**2 + 19 - 120*i + 182*i - 127*i + i**2 + i**3. Let f be l(6). Let 45/2*x**2 + 35/4 - 5*x**3 - 5/4*x**4 - f*x = 0. Calculate x.
-7, 1
Let p(y) be the first derivative of -2/5*y**5 - 10 - 2*y**2 + 2/3*y**3 + 3/2*y**4 - 1/3*y**6 + 0*y. Determine z so that p(z) = 0.
-2, -1, 0, 1
Let b be 21*(7 + -4 - 10/6). Let t = b + -26. Factor t*k**5 - k**3 + k**3 - 4*k**3 + 2*k**3.
2*k**3*(k - 1)*(k + 1)
Let l(s) be the first derivative of 3*s**4/8 - 19*s**3 + 915*s**2/4 - 1050*s + 3949. Factor l(x).
3*(x - 28)*(x - 5)**2/2
Let n = -6607 - -6607. Let j(v) be the first derivative of -1/11*v**4 + 0*v**2 - 18 - 2/11*v**3 + n*v + 2/55*v**5. Factor j(g).
2*g**2*(g - 3)*(g + 1)/11
Let u = 1401 + -769. Let b = -6946/11 + u. Factor -b - 6/11*j**3 + 6/11*j**2 + 6/11*j.
-6*(j - 1)**2*(j + 1)/11
Suppose 3*l - 78 = -4*h, 0*h - 3*l = 5*h - 96. Suppose -4*d = -h + 10. Factor 4*z**3 - z**2 - 7*z**3 - d*z**2.
-3*z**2*(z + 1)
Let r(i) be the third derivative of i**6/540 - i**5/30 + i**4/4 + 17*i**3/2 - i**2 + 13*i. Let l(j) be the first derivative of r(j). Factor l(d).
2*(d - 3)**2/3
Let b(c) be the second derivative of -c**4/28 + 2*c**3 - 1476*c. Factor b(y).
-3*y*(y - 28)/7
Suppose -6*t = 5*t - 132. Suppose -24 = -6*m - t. Factor 1/5*a**m + 3/5*a + 2/5.
(a + 1)*(a + 2)/5
Let p be 3/5*295/2655. Let a(g) be the second derivative of -p*g**6 - 1/3*g**3 + 1/2*g**4 - 2*g**2 + 1/10*g**5 + 0 + 20*g. Find k, given that a(k) = 0.
-1, 1, 2
Factor -52/5*y**2 + 2/5*y**3 + 256/5*y - 64.
2*(y - 20)*(y - 4)*(y - 2)/5
Let c be 0*((-5)/25*2 + 836/1540). Solve -1/6*s**3 + 2/3*s**2 + c - 2/3*s = 0 for s.
0, 2
Let h(s) be the first derivative of s**5/130 - s**4/26 + 2*s**3/39 - 40*s + 1. Let x(q) be the first derivative of h(q). Solve x(o) = 0 for o.
0, 1, 2
Let i(l) be the first derivative of 3/4*l**2 + 49*l - 33 + 1/48*l**4 - 5/24*l**3. Let x(o) be the first derivative of i(o). Suppose x(j) = 0. What is j?
2, 3
Suppose -1537*a - 40 = -1547*a. Let g(z) be the second derivative of 0 - 1/5*z**3 - 2/5*z**2 - 1/30*z**a + z. Determine w so that g(w) = 0.
-2, -1
Let k(h) be the third derivative of -1/150*h**5 + 59/15*h**3 + 0 + 4*h**2 - 65*h - 29/30*h**4. Factor k(j).
-2*(j - 1)*(j + 59)/5
Let m = 17 - 15. Find g such that 5*g**2 - 6*g**2 - 16*g + 4 + m*g + 7*g**2 = 0.
1/3, 2
Let d(j) be the second derivative of -j**5/10 - 37*j**4/42 - 10*j**3/21 - 1285*j. Factor d(u).
-2*u*(u + 5)*(7*u + 2)/7
Suppose -73*v + 66*v = -8715. Let c = v + -1245. Solve -4/3*j**5 + 4/3*j**3 + 0*j - 4/3*j**4 + c + 4/3*j**2 = 0 for j.
-1, 0, 1
Let w be -12 - (-803)/66 - 23/(-6). Let m(p) be the first derivative of -p**2 - 18 + 1/18*p**w - 2/9*p**3 - 10/9*p. Let m(b) = 0. Calculate b.
-1, 5
Factor -1/2*h**4 - 15/2 - 24*h**2 + 9*h**3 + 23*h.
-(h - 15)*(h - 1)**3/2
Let f(i) be the first derivative of -i**6/1260 - 3*i**5/140 - 2*i**4/21 + 46*i**3 - 21. Let p(o) be the third derivative of f(o). Let p(k) = 0. What is k?
-8, -1
Let t = -143 + 149. Let c(p) = 2*p**3 + 34*p**2 + 123*p + 141. Let n(d) = -12*d**3 - 202*d**2 - 737*d - 847. Let b(a) = t*n(a) + 34*c(a). Factor b(g).
-4*(g + 2)*(g + 6)**2
Let h(a) = -6*a**3 + 4*a**2 + 3*a - 5. Let d be h(1). Let m be -15*11/66 - d. Factor 3*u**3 - 3/2 + 9/2*u**4 - 3*u**2 - 9/2*u + m*u**5.
3*(u - 1)*(u + 1)**4/2
Let p(o) = 11*o**2 - 918*o - 502. Let b be p(84). Factor -12/11 - b*a - 2/11*a**3 - 12/11*a**2.
-2*(a + 1)*(a + 2)*(a + 3)/11
Let q = 115/8 + -689/48. Let x(h) be the second derivative of 0*h**2 + q*h**4 + 18*h + 1/80*h**5 + 0 - 1/24*h**3 - 1/120*h**6. Let x(m) = 0. Calculate m.
-1, 0, 1
Let y be -22 + 51/(1173/598). Determine f, given that 0*f**3 - 2/13*f + 2/13*f**5 + 0 + 4/13*f**y - 4/13*f**2 = 0.
-1, 0, 1
Let k = 3573 - 3570. Let i(p) be the first derivative of -1/18*p**4 + 7 - 5/9*p**2 + 4/9*p + 8/27*p**k. Find s, given that i(s) = 0.
1, 2
Let g = 3319 + -3314. Let q(b) be the second derivative of -1/7*b**3 + 14*b + 0 + 1/70*b**g + 0*b**4 - 2/7*b**2. Factor q(v).
2*(v - 2)*(v + 1)**2/7
Let c(u) = -u**3 - 32*u**2 - 63*u - 70. Let x be c(-30). Suppose 9*t = x*t. Factor -h + 1/4*h**2 + t.
h*(h - 4)/4
Let v(m) = -m**3 - 48*m**2 - 119*m - 1238. Let y be v(-46). Find f such that -f - 1/4*f**5 + 1 + 5/4*f**3 - 5/4*f**2 + 1/4*f**y = 0.
-2, -1, 1, 2
Suppose 132*d + 967 = 967. Factor 1/3*j + d - 1/3*j**2.
-j*(j - 1)/3
Factor 5/2*n**2 + 23*n + 0.
n*(5*n + 46)/2
Let n(j) be the second derivative of -j**6/135 + 28*j**5/45 + j**4/18 - 170*j**3/27 + 112*j**2/9 + 31*j. Let n(a) = 0. Calculate a.
-2, 1, 56
Find g, given that -194/7*g**3 + 38/7*g**5 - 134/7*g**2 + 0 - 12/7*g - 34/7*g**4 = 0.
-1, -2/19, 0, 3
Let s = -1434 - -532. Let q be 66/(-154) - s/14. Factor v**2 + 7*v**3 + 9*v**3 + 3*v**2 + 0*v - q*v**4 - v.
-v*(4*v - 1)**2*(4*v + 1)
Let p = 36 + -37. Let z be p - (-4 + 7)*-1. Factor 5*h**2 - 4*h**2 + z*h**2 - 3*h.
3*h*(h - 1)
Let f = 5/53506 + 963073/374542. What is a in -4/7*a**2 - f*a**4 + 2/7*a**5 + 6*a - 44/7*a**3 + 22/7 = 0?
-1, 1, 11
Let b be (-5)/(-75)*6*-5. Let m be b/((5/1)/(-15)). Factor -5*x**3 + 17*x**3 - 4*x**5 - 9*x - m*x**2 + 6 + x**5.
-3*(x - 1)**3*(x + 1)*(x + 2)
Let c be (46/8 + -6)/((-150)/144). Let p = c + 8/175. Let -p*u**4 + 10/7*u**5 - 10/7*u**3 + 2/7*u**2 + 0*u + 0 = 0. Calculate u.
-1, 0, 1/5, 1
Let j be 5/((-25)/(-2))*5. Let 3/4*f**3 - 9/4*f**j + 9/4*f - 3/4 = 0. Calculate f.
1
Suppose 3*v + 4*t - 84 = 0, 0 = -6*v + 8*v + 3*t - 57. Suppose -v*h - 5*h = -116. Suppose -2/7*q**5 + 0*q**2 - 2/7*q**h + 0*q + 0*q**3 + 0 = 0. Calculate q.
-1, 0
Let h be ((-264)/3872)/(3/(-168)) + 1/((-22)/(-4)). Factor 6/5*a**3 + 2/5*a**h - 6/5*a**2 + 12/5 - 14/5*a.
2*(a - 1)**2*(a + 2)*(a + 3)/5
Solve 2/17*q**2 + 1018/17 - 60*q = 0 for q.
1, 509
Let l(q) be the second derivative of -q**4/4 - 55*q**3/2 - 675*q**2 - 1897*q. Find c, given that l(c) = 0.
-45, -10
Let f(a) be the second derivative of a**9/12096 + a**8/3360 + a**7/3360 - 3*a**3/2 - a**2/2 - 58*a. Let q(o) be the second derivative of f(o). Factor q(m).
m**3*(m + 1)**2/4
Let o be (-2)/(-3) - 704/(-6). Factor 58*d + 54*d**4 + 62*d**3 + 60*d**4 - 116*d**4 - o*d**2.
-2*d*(d - 29)*(d - 1)**2
Let p = 66 + -56. Suppose -u - 2 = l - 0*u, -2*u = p. Suppose l*v**2 - 5*v + 13*v**3 - 3*v**3 - 5*v**5 - 3*v**2 = 0. What is v?
-1, 0, 1
Suppose 0 = 2*n + 10*n + 156. Let r = n + 17. What is h in -3*h**3 + 10*h - 2*h - 3*h**3 + r*h**2 - 2*h**3 - 4*h**4 = 0?
-2, -1, 0, 1
Let z(a) be the third derivative of a**8/448 + 3*a**7/140 + 11*a**6/160 + a**5/40 - 3*a**4/8 - a**3 - 2*a**2 - 140*a + 2. What is x in z(x) = 0?
-2, -1, 1
Let t = -123721 + 123721. Let t - 1/3*v**3 + 0*v - 4/3*v**2 = 0. What is v?
-4, 0
Suppose -2689*b + 2427*b = 0. Determine v, given that b - 3/2*v - 1/4*v**2 = 0.
-6, 0
Let n(q) be the first derivative of 24*q + 4*q**2 + 0*q**4 - 6*q**3 + 2/5*q**5 + 248. Determine z so that n(z) = 0.
-3, -1, 2
Let p = 1617/5 + -323. Let l be 3 + -8*(-3)/(-20). Factor -p - l*f**2 - 11/5*f.
-(f + 1)*(9*f + 2)/5
Factor -434 + 77 - 5*v**3 + 26 + 180*v**2 - 524 + 20*v + 135.
-5*(v - 36)*(v - 2)*(v + 2)
Let q(y) be the third derivative of 95/24*y**4 - 11/12*y**5 + 110*y**2 + 1/24*y**6 + 0 - 15/2*y**3 + 0*y. What is p in q(p) = 0?
1, 9
Let y = -17 + 25. Let a be (-1*12/y)/(6/(-8)). Solve 2*q**3 - q**4 + 2*q**2 + 4*q - 10*q**a + 2*q**3 + q**3 = 0 for q.
0, 1, 2
Let x = 3022 + -3014. Let u = -12 - -37. What is o in 4*o**4 - 2*o**4 - x*o + 8*o**3 - 27*o**2 + u*o**2 = 0?
-4, -1, 0, 1
Factor 1/2*l**4 - 5*l**3 - 15*l + 31/2*l**2 + 0.
l*(l - 5)*(l - 3)*(l - 2)/2
Let u = -567828 + 1703488/3. Let -5/2 - 1/6*l**2 + u*l = 0. What is l?
3, 5
Let v(q) be the first derivative of q**4/6 + 14*q**3/9 - 4*q**2/3 - 56*q/3 + 1099. Find n, given that v(n) = 0.
-7, -2, 2
Let s(j) be the third derivative of 0*j - 5618/3*j**3 + 0 - 119*j**2 - 1/15*j**5 - 53/3*j**4. Let s(d) = 0. Calculate d.
-53
Let n(z) = 3*z**2 - 1167*z - 2205. Let l(x) = 3*x**2 - 1167*x - 2158. Let t(v) = -3*l(v) + 4*n(v). Factor t(c).
3*(c - 391)*(c + 2)
Factor 0 - 104/3*f - 4/3*f**2.
-4*f*(f + 26)/3
Suppose -347*d + 341*d = -336. Solve 16*j + d*j - 3*j**2 - 2505 + 2580 = 0 for j.
-1, 25
Let j = -614 - -616. Let x(v) be the first derivative of 0*v + 1/5*v**3 - 1/5*v*