/2*w**3.
w**3/2
Let l be 6/(54/(-9))*(-94 - 1). Suppose 0 = -l*n + 101*n - 12. Factor 8/5*d**n + 2/5*d**3 + 6/5*d + 0.
2*d*(d + 1)*(d + 3)/5
Let t(p) be the second derivative of -p**7/14 - p**6/10 + 3*p**5/10 + 15*p + 63. Factor t(h).
-3*h**3*(h - 1)*(h + 2)
What is g in 8*g - 8*g**3 + 424 + 16*g**2 + 422 - 4*g**4 - 858 = 0?
-3, -1, 1
Find z such that 2275/4*z**2 + 95 + 125/4*z**3 - 470*z = 0.
-19, 2/5
Let o be 1/(2/(-4)*-2). Suppose t + 22 = 4*i, 0 = 3*i + 4*t - o - 6. Factor 24*a**4 - 30*a**3 + 23*a**i + 5*a - 38*a**5 - 7*a**4 + 23*a**4.
-5*a*(a - 1)**3*(3*a + 1)
Let n(c) = -7*c**4 - 60*c**3 + 246*c**2 - 250*c + 87. Let i(a) = a**4 - 5*a**3 - 3*a**2 - 1. Let h(u) = -2*i(u) - n(u). Factor h(v).
5*(v - 1)**3*(v + 17)
Let j(g) be the third derivative of -g**5/15 + 135*g**4/2 + 812*g**3/3 - 1413*g**2. Let j(q) = 0. What is q?
-1, 406
Let s(l) = 0 - l + 2 + 11*l**2 + 0 - 14*l**2. Let j(z) = -15*z**2 - 6*z + 9. Let w = -67 - -46. Let y(u) = w*s(u) + 4*j(u). Factor y(d).
3*(d - 2)*(d + 1)
Let f(k) = 2*k**2 - 26*k - 44. Let z = -648 - -640. Let p(a) = a - 1. Let q(y) = z*p(y) + f(y). Suppose q(c) = 0. What is c?
-1, 18
Let q(z) = -26*z + 236. Let b be q(9). Factor -2*y**3 + 42 + 3*y**3 - 166*y**b - 83*y + 206*y**2.
(y - 1)**2*(y + 42)
Let g = 78905/468 - 2190/13. Let n(o) be the second derivative of 0*o**3 + 0 + 1/6*o**5 + 0*o**2 - g*o**4 - 1/18*o**6 - 28*o. Factor n(k).
-5*k**2*(k - 1)**2/3
Let g(w) be the second derivative of w**7/1512 + w**6/108 + w**5/24 - 43*w**4/12 - w**3/6 + 29*w. Let u(z) be the third derivative of g(z). Factor u(d).
5*(d + 1)*(d + 3)/3
Let i = 824 - 566. Factor 16 + i*u**2 + 50*u - 226*u**2 + 5*u**3 + 2*u.
(u + 2)*(u + 4)*(5*u + 2)
Let m = 428 - 423. Let n(v) be the third derivative of 1/10*v**6 + 1/15*v**m + 0*v**4 + 0*v + 1/84*v**8 + 0*v**3 - 29*v**2 + 2/35*v**7 + 0. Factor n(f).
4*f**2*(f + 1)**3
Let w(h) be the second derivative of -h**5/20 + 3*h**4/14 - 5*h**3/14 + 2*h**2/7 + 430*h. Solve w(g) = 0 for g.
4/7, 1
Let x(j) be the second derivative of 43*j + 1/15*j**6 + 0 + 0*j**2 + 11/3*j**3 - 7/2*j**4 + 9/10*j**5. Factor x(k).
2*k*(k - 1)**2*(k + 11)
Let k(z) be the second derivative of -z**2/2 - 7*z - 7. Let x(a) = 8*a**2 + 10*a - 7. Let v(d) = -18*k(d) + 2*x(d). What is h in v(h) = 0?
-1, -1/4
Let g(k) = 6*k**3 + 24*k**2 - 2*k + 8. Let u be g(-5). Let z be 17/(663/u) - -4. Solve 0 + 8/13*b**3 + 14/13*b**4 + 4/13*b**5 + 0*b - z*b**2 = 0.
-2, 0, 1/2
Let u be (72/10)/(63/70). Let m(v) be the first derivative of 5/6*v**6 + 20*v**4 + 0*v**3 - 4 + 0*v**2 + 0*v - u*v**5. Let m(o) = 0. Calculate o.
0, 4
Solve -4/5*f**5 + 0 + 36/5*f**2 - 4/5*f**4 - 72/5*f + 44/5*f**3 = 0.
-3, -2, 0, 1, 3
Let c(p) be the second derivative of p**4/72 - 23*p**3/9 + 2107*p**2/12 - 4*p - 98. Factor c(q).
(q - 49)*(q - 43)/6
Suppose 34*h - 1013 = -4889. Let k be 42/(-9) + h/(-19). Factor 0 - k*r**3 + 0*r**2 - 4/3*r**5 - 8/3*r**4 + 0*r.
-4*r**3*(r + 1)**2/3
Let d(g) be the third derivative of -g**6/24 + 13*g**5/10 - 16*g**4 + 304*g**3/3 - 45*g**2 + 24*g. Find b, given that d(b) = 0.
4, 38/5
Let s = 125571 - 125568. Factor 0 + 1/2*u**2 - s*u.
u*(u - 6)/2
Let w(q) be the third derivative of q**8/20160 + q**7/840 + q**6/80 - 23*q**5/15 + q**2. Let p(k) be the third derivative of w(k). Factor p(x).
(x + 3)**2
Let n(b) = -2*b**3 - b**2 + 25*b - 6. Let q be n(3). Suppose q*o - 6 = -2*l - 0, -2*o = 0. Factor 0*u - 4/5*u**5 - 12/5*u**4 + 0*u**l + 16/5*u**2 + 0.
-4*u**2*(u - 1)*(u + 2)**2/5
Let l(b) be the second derivative of b**7/21 + 124*b**6/15 + 1922*b**5/5 - 1175*b. Determine p, given that l(p) = 0.
-62, 0
Let w(i) = -53 + 13*i**2 - 26*i**2 - 24*i - i**3 + 33. Let o be w(-11). Find h, given that 2/3*h**o + 2/3*h**3 + 0*h + 0 = 0.
-1, 0
Let j = -223 - -228. Factor -z**j + 8*z**4 - 505*z + 453*z - 24 + 24*z**3 - 16*z**2 - 3*z**5.
-4*(z - 3)*(z - 2)*(z + 1)**3
Let h = -2278 - -2282. Suppose 2*m = -3*c + 4*m + 40, -5*c = -5*m - 70. Factor 4*f**h + c*f - 9*f**2 - f**4 - 6*f**3 - 4*f + 4*f + 12.
3*(f - 2)**2*(f + 1)**2
Let h(t) be the second derivative of 2 - 56*t + 4/11*t**2 - 1/22*t**4 - 1/110*t**5 + 0*t**3. Factor h(c).
-2*(c - 1)*(c + 2)**2/11
Let -15/2*z - 1/2*z**3 - 9/2*z**2 - 7/2 = 0. Calculate z.
-7, -1
Suppose 5*j - 16 = -3*k, -2*k - j + 4 = -k. Let z be ((-4)/(-8))/(10/4). Let 2/5 + z*d**k + 3/5*d = 0. What is d?
-2, -1
Let p(s) be the third derivative of -s**7/1260 + s**6/90 - s**5/60 - s**4/18 + 7*s**3/36 + 336*s**2. Determine a so that p(a) = 0.
-1, 1, 7
Let n(a) be the second derivative of 3456*a**5 + 7920*a**4 + 7260*a**3 + 6655*a**2/2 + 550*a - 1. Factor n(b).
5*(24*b + 11)**3
Let u(h) = 3*h**2 + 4*h - 3. Let l be u(1). Suppose l*j - 27 = j. Factor -14*r + 12*r**3 + j*r**2 - r**2 - r**2 + 2*r**5 - 3*r**2 - 10*r**4 + 6.
2*(r - 3)*(r - 1)**3*(r + 1)
Let t(g) be the first derivative of 1/36*g**4 + 2/3*g**2 + 5/18*g**3 + 8 + 4*g. Let l(m) be the first derivative of t(m). Factor l(r).
(r + 1)*(r + 4)/3
Let l(z) be the third derivative of -1/60*z**6 + 1/30*z**5 + 0*z + 0 + 0*z**3 - 114*z**2 + 0*z**4. Determine x, given that l(x) = 0.
0, 1
Let c(g) = -2*g**3. Let h(l) = l**3 + 16*l**2 - 2*l - 33. Let d be h(-16). Let r(w) = 14*w**3 - 52*w**2 - 24*w. Let t(m) = d*r(m) + 3*c(m). Factor t(y).
-4*y*(y - 3)*(5*y + 2)
Let k(o) be the second derivative of 1/150*o**5 - 11/45*o**3 + 4/5*o**2 + 22 - 1/45*o**4 + o. Let k(l) = 0. What is l?
-3, 1, 4
Let r(v) be the second derivative of -v**10/105840 + v**8/7840 - v**7/4410 - 2*v**4/3 - v**3 + v + 18. Let b(q) be the third derivative of r(q). Factor b(h).
-2*h**2*(h - 1)**2*(h + 2)/7
Let a(u) = u**2 - 41*u - 436. Let x be a(-10). Let q = 286/3 - x. Factor -4/3*l**2 + q*l - 256/3.
-4*(l - 8)**2/3
Let o(n) be the third derivative of 1/72*n**6 - 2*n**2 + 7/180*n**5 + 0*n**3 - 1/36*n**4 + 5 - 2/315*n**7 + 0*n. What is h in o(h) = 0?
-1, 0, 1/4, 2
Let g(u) be the third derivative of u**5/30 + 19*u**4/2 + 113*u**3/3 - 145*u**2. Determine y, given that g(y) = 0.
-113, -1
Let u(z) be the first derivative of 0*z - 13 + 0*z**3 - 1/300*z**6 + 1/50*z**5 + 7/2*z**2 + 0*z**4. Let m(k) be the second derivative of u(k). Solve m(p) = 0.
0, 3
Let y(k) = -6*k**2 + 52*k - 112. Let j(i) = 7*i**2 - 51*i + 114. Let d be (0 + 9 + -1)*18/36. Let h(a) = d*j(a) + 5*y(a). Factor h(b).
-2*(b - 26)*(b - 2)
Suppose 976026 - 3322*z + 4*z**2 + 23974 - 678*z = 0. Calculate z.
500
Let j(f) be the second derivative of f**6/6 - 7*f**5/5 + 25*f**4/12 + 17*f**3/3 - 12*f**2 + 375*f - 11. Suppose j(a) = 0. Calculate a.
-1, 3/5, 2, 4
Let j(n) be the third derivative of n**8/224 + n**7/70 - 23*n**6/80 + 3*n**5/10 + 9*n**4/4 + 5*n**2 - 44*n. What is g in j(g) = 0?
-6, -1, 0, 2, 3
Let x be 15/(-1)*((-80)/(-25) - 4). Suppose -x*f + 17*f - 20 = 0. Factor -15*a**2 - 15*a + 20 + 5*a**f + 4*a**3 - 2*a + 6*a**3 - 3*a.
5*(a - 1)**2*(a + 2)**2
Determine h, given that -4/3*h**2 + 2108/3*h + 704 = 0.
-1, 528
Let c(u) = -187*u**3 + 368*u**2 - 171*u - 12. Let v(x) = -x**3 + x**2 + 3*x - 4. Let z(h) = c(h) - 2*v(h). Factor z(b).
-(b - 1)**2*(185*b + 4)
Let o = -369900 - -7028184/19. Determine z, given that -86/19*z + 4/19*z**2 - 46/19*z**4 + o*z**3 + 42/19 + 2/19*z**5 = 0.
-1, 1, 21
Suppose -6768*p + 6763*p = 2*s + 3, -4*p = -4*s - 48. Factor -15/2*m**2 + 63*m + 1/4*m**p - 98.
(m - 14)**2*(m - 2)/4
Solve 0 - 1/7*d**2 + 113/7*d = 0.
0, 113
Let y(d) = d**3 - 7*d**2 - 11*d + 14. Let p be y(-2). What is t in p*t + 0 + 1/3*t**3 - 1/3*t**2 = 0?
0, 1
Let c(v) be the third derivative of 0*v + 35/6*v**3 - 1/12*v**5 + 0 - 51*v**2 + 5/4*v**4. Factor c(q).
-5*(q - 7)*(q + 1)
Let l(y) be the third derivative of 0*y + 0 - 4/525*y**7 + 2/75*y**5 - 24*y**2 - 1/168*y**8 + 1/50*y**6 + 0*y**3 - 1/60*y**4. Find d, given that l(d) = 0.
-1, 0, 1/5, 1
Let s(c) be the third derivative of -c**5/60 + 287*c**4/24 + 105*c**2 - 2*c. Find d, given that s(d) = 0.
0, 287
Let f(t) = -27*t**2 - 28*t + 159. Let o(i) = -4*i**2 + 2*i + 1. Let n(c) = f(c) - 7*o(c). Factor n(z).
(z - 38)*(z - 4)
Let a(d) be the first derivative of d**8/840 - d**7/210 - d**6/36 + d**5/10 + 20*d**3/3 - 2*d + 29. Let x(u) be the third derivative of a(u). Solve x(h) = 0.
-2, 0, 1, 3
Determine r, given that -35/2*r + 16*r**2 - 33 + 1/2*r**3 = 0.
-33, -1, 2
Factor -104*c**2 - 512/9 - 1280/9*c - 18*c**3.
-2*(c + 4)*(9*c + 8)**2