 c in -3*c - 5 - 1/5*c**f + 9/5*c**2 = 0?
-1, 5
Let g(h) be the third derivative of h**8/20160 + h**7/5040 - h**6/360 + 13*h**5/60 + 6*h**2. Let d(t) be the third derivative of g(t). Factor d(o).
(o - 1)*(o + 2)
Let g(l) be the second derivative of -l**6/60 + 9*l**5/20 - 27*l**4/8 - l + 19. Let g(w) = 0. What is w?
0, 9
Let i be (0 - 2)/((8 + 0)*(-54)/54). Factor i*y + 1/8 + 1/8*y**2.
(y + 1)**2/8
Let v(w) be the second derivative of -w**4/4 + 29*w**3 - 2523*w**2/2 + 2*w - 103. Suppose v(r) = 0. Calculate r.
29
Let p(z) be the third derivative of 0*z - 1/60*z**5 + 1/480*z**6 + 5/96*z**4 - 1/12*z**3 - 6*z**2 + 0. Factor p(u).
(u - 2)*(u - 1)**2/4
Factor -30*t**4 - 1185*t - 1404*t**3 - 1669*t + 3096*t**2 + 726*t - 78*t**4 + 480.
-4*(t + 15)*(3*t - 2)**3
Let p(j) be the third derivative of -j**5/210 + j**4/12 + 8*j**3/21 - 2*j**2 + 20. Factor p(v).
-2*(v - 8)*(v + 1)/7
Let u(a) be the second derivative of 1/3*a**3 + a - 1/18*a**4 + 0 - 2/3*a**2. Suppose u(b) = 0. What is b?
1, 2
Suppose 3*x - 2*b = x + 8, 3*x = -3*b. Factor 216*q**3 - 411*q**4 + 363*q**4 - 416*q**x + 125*q**2 - 12 + 108*q.
-3*(q - 2)**2*(4*q - 1)**2
Let o be ((-448)/(-84) + -4)*(-2)/(-8). Factor -o + 1/9*y**2 - 2/9*y.
(y - 3)*(y + 1)/9
Let b = 44353/7 - 6335. Suppose -4/7 + 5/7*n**3 - b*n - 1/7*n**2 + 1/7*n**4 - 1/7*n**5 = 0. What is n?
-1, 2
Suppose -3*o - 5*s + 286 = 0, 4*o + 2*s - 4*s = 364. Determine l, given that 8*l**3 - 4*l**4 - 164 + 0*l**4 - 240*l**2 - o - 448*l - 60*l**3 = 0.
-4, -1
Let b(r) = r**5 + 109*r**4 - 110*r**3 + 8*r**2 - 4*r. Let t(n) = -110*n**4 + 110*n**3 - 10*n**2 + 5*n. Let k(c) = 5*b(c) + 4*t(c). Factor k(s).
5*s**3*(s - 1)*(s + 22)
Suppose -1/2*t**2 - 4 - 5*t + 1/2*t**3 = 0. What is t?
-2, -1, 4
Let o(n) be the third derivative of -n**7/280 - n**6/24 + 13*n**5/40 - 7*n**4/8 + 5*n**3/2 - 25*n**2. Let l(u) be the first derivative of o(u). Factor l(d).
-3*(d - 1)**2*(d + 7)
Determine y so that 352*y - 700*y - 2*y**2 - 28*y**4 - 5*y**5 - 33*y**3 + 356*y = 0.
-4, -1, 0, 2/5
Let r = -18 + 38. Suppose 8*m = -2*m + r. Factor 1/2*o**5 - 5/2*o**3 + 4*o - 1/2*o**2 - m + 1/2*o**4.
(o - 1)**3*(o + 2)**2/2
Suppose -4/7*v**3 - 6/7*v**2 + 4/7*v + 5/7 + 1/7*v**4 = 0. What is v?
-1, 1, 5
Let i(t) be the second derivative of -14*t**6/25 - 2*t**5/25 + t**4/5 + 82*t. Factor i(n).
-4*n**2*(3*n - 1)*(7*n + 3)/5
Let p = 12 + 14. Factor 1 + p + 21 + 3*t**2 + 24*t.
3*(t + 4)**2
Factor -268/3 - 130/3*k + 2/3*k**2.
2*(k - 67)*(k + 2)/3
Suppose 99*o - 25*o = 148. Let b(a) be the first derivative of -5 + 4/3*a**3 + o*a**2 - 8*a. What is y in b(y) = 0?
-2, 1
Suppose -66 + 98 = 4*d. Suppose d*x = -x - 0*x. Find y, given that 0 + x*y - 1/2*y**3 + 3/4*y**2 - 1/4*y**4 = 0.
-3, 0, 1
Let k be -21*9/(-378) + 12/8. Factor 0 - 1/2*u**k - 1/4*u.
-u*(2*u + 1)/4
Let x(s) be the first derivative of 3*s**4/4 + 53*s**3 + 1092*s**2 + 2028*s - 915. Factor x(o).
3*(o + 1)*(o + 26)**2
Let f(s) = -10*s - 42. Let z be f(-4). Let b be 0*(-1 + (-1)/z)*-1. Suppose -2/3*k + b - 1/3*k**2 = 0. Calculate k.
-2, 0
Let -16 - 51*q**2 + 29*q**2 + 23*q**2 = 0. Calculate q.
-4, 4
Let u = 493 + -490. Factor -6/7*d**2 - 6/7*d - 2/7*d**u - 2/7.
-2*(d + 1)**3/7
Let z be 45/(-20) - (-6)/(-8). Let p(s) = 4*s**2 + 3*s + 3. Let a(l) = 9*l**2 + 7*l + 7. Let y(d) = z*a(d) + 7*p(d). Factor y(f).
f**2
Let x be (-90)/(-300) + (-2)/(-60). Factor x*d + 1/3*d**2 - 2/3.
(d - 1)*(d + 2)/3
Let -2*w**3 - 26*w**3 + 8*w + 12*w**3 - 28*w**2 = 0. What is w?
-2, 0, 1/4
Factor -28*b - 1167 + 4*b**2 + 1135 + 0*b**2.
4*(b - 8)*(b + 1)
Let x(q) be the second derivative of q**7/231 + 34*q**6/165 + 188*q**5/55 + 760*q**4/33 + 2576*q**3/33 + 1568*q**2/11 + q - 32. Factor x(g).
2*(g + 2)**3*(g + 14)**2/11
Factor 6 + 0*q**2 + 3*q - 1/9*q**3.
-(q - 6)*(q + 3)**2/9
Factor 3 - 1/4*d**2 + d.
-(d - 6)*(d + 2)/4
Let l(f) be the third derivative of f**7/7980 - f**6/1140 + f**5/570 - f**3/3 - 16*f**2. Let x(u) be the first derivative of l(u). Factor x(t).
2*t*(t - 2)*(t - 1)/19
Suppose -117 + 423 = -9*u. Let b = u - -69/2. Factor -1/4*p**5 + 1/2*p**2 + 0*p**3 + 1/4*p + 0 - b*p**4.
-p*(p - 1)*(p + 1)**3/4
Factor 477*b**2 + 18*b**3 - 24*b**3 - 22*b**3 - 149*b**2 + 96*b.
-4*b*(b - 12)*(7*b + 2)
Let q(u) be the first derivative of -10 + 0*u + 0*u**2 - 1/9*u**3 - 1/12*u**4. Suppose q(w) = 0. Calculate w.
-1, 0
Let v = -303/13 - -645/26. Factor -v*t**2 + 0*t + 0.
-3*t**2/2
Suppose 28/11*d - 18/11*d**3 - 122/11*d**2 + 0 = 0. Calculate d.
-7, 0, 2/9
Suppose 36*c - 40*c - 4*y = 0, -3*y - 6 = 0. Factor -6/11 + 2/11*o - 2/11*o**3 + 6/11*o**c.
-2*(o - 3)*(o - 1)*(o + 1)/11
Let w(h) be the second derivative of h**7/840 + h**6/360 - h**5/120 - h**4/24 - 7*h**3/6 + 11*h. Let t(z) be the second derivative of w(z). Factor t(i).
(i - 1)*(i + 1)**2
Let y be (-10)/50 - (-32)/10. Suppose -2/15*r + 0 - 2/15*r**5 - 4/5*r**y - 8/15*r**4 - 8/15*r**2 = 0. Calculate r.
-1, 0
Let m(b) = -19*b**3 + 40*b**2 - 39*b + 12. Let w(f) = -40*f**3 + 79*f**2 - 78*f + 24. Let l(g) = -5*m(g) + 2*w(g). Solve l(y) = 0.
4/5, 1
Let n(f) = f**2 + 12*f + 28. Let b be n(-9). Let x(s) = -s - 1. Let t(l) = 3*l**3 - 3*l**2 - 15*l + 9. Let o(y) = b*t(y) - 3*x(y). Factor o(d).
3*(d - 2)*(d - 1)*(d + 2)
Let w = 137 - 112. Factor 5*n**2 + 62 - 38 + w*n + 6.
5*(n + 2)*(n + 3)
Let b(h) = h**2 + 16*h + 48. Let n be b(-12). Let g(o) be the first derivative of -1/4*o**2 + 1/3*o**3 + 3 + n*o - 1/8*o**4. Solve g(a) = 0.
0, 1
Let f = 111/11 - 9. Suppose -6/11 + 12/11*c + 6/11*c**4 - f*c**3 + 0*c**2 = 0. Calculate c.
-1, 1
Let w(a) be the third derivative of a**8/43680 - a**7/8190 + a**6/4680 + a**4/2 + 3*a**2. Let d(v) be the second derivative of w(v). Solve d(g) = 0.
0, 1
Factor 36/13*n**2 + 2/13*n**4 - 54/13 + 0*n - 16/13*n**3.
2*(n - 3)**3*(n + 1)/13
Let b(g) = -2*g**2 + 14*g + 16. Let i(s) = -2*s**2 + 14*s + 16. Let n(r) = 3*b(r) - 4*i(r). Factor n(q).
2*(q - 8)*(q + 1)
Suppose 17*x = 14*x + 9. Factor 6*s - 11*s - s**2 + 3*s**2 + s**3 - 3*s**2 - x.
(s - 3)*(s + 1)**2
Let p = 17 - 20. Let i = 6 + p. Factor 1 - 8*w**2 - 1 - 8*w**i + 6*w**4 + 10*w**2.
2*w**2*(w - 1)*(3*w - 1)
Suppose 0 = 9*o - 2*o + 35. Let y(f) = -9*f**4 + 16*f**3 - 12*f**2 - 11*f + 16. Let p(u) = u**4 - u. Let b(s) = o*p(s) - y(s). Factor b(m).
4*(m - 2)**2*(m - 1)*(m + 1)
Let r(g) = -2*g - 19. Let l be r(-17). Factor 3*j**3 - 1 + 3*j - 9*j - l*j + 13 + 6*j**2.
3*(j - 1)**2*(j + 4)
Let o(k) be the first derivative of k**8/3024 + k**7/945 - k**5/270 - k**4/216 + k**2/2 + 12*k - 2. Let d(z) be the second derivative of o(z). Factor d(a).
a*(a - 1)*(a + 1)**3/9
Let y = -328 - -332. Let b(s) be the first derivative of -6 + 8/5*s - 8/15*s**3 - 1/5*s**y + 2/5*s**2. Factor b(p).
-4*(p - 1)*(p + 1)*(p + 2)/5
Let x(h) be the first derivative of 1/2*h**4 + 28 + 12/5*h**5 + 0*h - 16*h**3 + 16*h**2 + 1/3*h**6. Factor x(y).
2*y*(y - 1)**2*(y + 4)**2
Let d = 200 + -198. Let i(n) = -n - 4. Let x be i(-6). Factor l**2 + l**2 + x*l**3 - 2*l**d.
2*l**3
Let o = -5287 + 37015/7. Factor -4/7 + o*w**2 - 2/7*w.
2*(w - 1)*(3*w + 2)/7
Factor 1/4*z**4 - 5*z**2 + 16 + 3/4*z**3 - 12*z.
(z - 4)*(z - 1)*(z + 4)**2/4
Let a(d) be the third derivative of 0*d**4 - 16*d**2 + 0*d - 2/3*d**3 + 1/15*d**5 + 0. Let a(s) = 0. What is s?
-1, 1
Let u(j) be the first derivative of 10*j**3/7 + 51*j**2/14 + 18*j/7 + 104. Suppose u(g) = 0. Calculate g.
-6/5, -1/2
Let t(f) be the first derivative of -2*f**3/3 + 340*f**2 - 57800*f + 285. Determine v, given that t(v) = 0.
170
Suppose 3*p**2 + 17/2*p - 3/2 = 0. What is p?
-3, 1/6
Let z(d) = 5*d**2 + 25*d + 11. Let h(x) = -x**2 - 5*x - 2. Let w(m) = -2*m - 3. Let u be w(-7). Let a(j) = u*h(j) + 2*z(j). Factor a(g).
-g*(g + 5)
Let -6*b**2 + 40*b - 12*b**3 + 24 - 2*b**4 + 16*b**2 - 4*b**2 = 0. Calculate b.
-6, -1, 2
Let j(w) = 24*w + 8*w**2 - 64*w + 20*w. Let k(z) = -9*z**2 + 21*z. Let p(v) = 5*j(v) + 4*k(v). Solve p(s) = 0.
0, 4
Let s = -11 - 17. Let q be s + 23 + 26/5. Factor 3*h**4 + 0 + 0*h - 7/5*h**3 + q*h**2 - 9/5*h**5.
-h**2*(h - 1)*(3*h - 1)**2/5
Let f(o) be the third derivative of -o**5/20 - 13*o**4/8 + 24*o**3 - 11*o**2 - 5. Let f(j) = 0. Calculate j.
-16, 3
Let h(x) = 3*x**2 + 6*x + 5. Let q = -28 + 19. Let b(o) = 12*o**2 + 24*o + 21. Let d be 7/14*1*4. Let n(y) = d*b(y) + q*h(y). Suppose n(z) = 0. Calculate z.
-1
Let y(c) = -c**2 - c + 1.