= 0.
-17, -1
Let t(o) be the second derivative of -o**4/3 - 514*o**3/3 + 516*o**2 + 1589*o. What is s in t(s) = 0?
-258, 1
Let q(j) be the third derivative of 1/6*j**3 - 1/720*j**6 + 11/144*j**4 + 28*j**2 + 0 + 1/90*j**5 + 0*j. Solve q(n) = 0 for n.
-1, 6
Factor -66238140*g**2 - 4000/9*g**4 - 65646288 + 2/9*g**5 + 2669330/9*g**3 + 131588280*g.
2*(g - 666)**3*(g - 1)**2/9
Let m(g) be the second derivative of -g**8/840 + g**7/525 - 18*g**2 + 36*g - 1. Let a(n) be the first derivative of m(n). Determine l so that a(l) = 0.
0, 1
Let a = 4344 - 1616. Factor -120*b**3 - a - 126*b**3 - 105*b**2 + 251*b**3 + 735*b + 1013.
5*(b - 7)**3
Let d(y) = 25*y**2 + 165*y - 1400. Let i(h) = 2*h**2 + 13*h - 108. Let l(x) = -3*d(x) + 40*i(x). Factor l(b).
5*(b - 3)*(b + 8)
Let l(a) be the second derivative of a**4/96 + 5*a**3/4 - 31*a**2/4 + 1489*a. Factor l(h).
(h - 2)*(h + 62)/8
Let i(d) be the second derivative of -21*d + 1/24*d**4 - 1/80*d**5 + 3/8*d**3 - 4 - 9/4*d**2. Factor i(t).
-(t - 3)*(t - 2)*(t + 3)/4
Let z(n) = n**2 + 13*n + 37. Let a be z(-10). Solve 14 + 4 + 20*d + 2*d**2 + a - 12 + 5 = 0 for d.
-9, -1
Let i(u) = -u**3 - 17*u**2 - 17*u - 14. Suppose 4*y + 33 = -31. Let t be i(y). Factor t + 5*k**4 - 5*k**5 + 10*k**3 + 6 - 10*k**2 - 8 - 5*k + 5.
-5*(k - 1)**3*(k + 1)**2
Let u(y) = -5*y**3 - 6*y**3 + 14*y**3 - 12*y**4 + y**3 - 2*y**2. Let n(c) = 13*c**4 - 3*c**3 + 2*c**2. Let z(t) = -5*n(t) - 6*u(t). What is i in z(i) = 0?
0, 2/7, 1
Let c(h) be the second derivative of -3*h**5/100 + 3*h**4/5 - 41*h**3/10 + 63*h**2/5 + 1289*h. Factor c(i).
-3*(i - 7)*(i - 3)*(i - 2)/5
Let n(q) = 5*q**2 - 337*q + 13448. Let v(s) = 9*s**2 - 671*s + 26896. Let f(r) = 5*n(r) - 3*v(r). Factor f(u).
-2*(u - 82)**2
Let m(a) = -1204*a**2 + 676*a - 2144. Let b(o) = 82*o**2 - 45*o + 143. Let l(z) = 44*b(z) + 3*m(z). Suppose l(s) = 0. Calculate s.
5, 7
Let v(x) = -x - 37. Let q be v(-38). Suppose -4*l + 12 = 0, 3*i - 4 = 4*l - q. Factor 2/15*c**i + 8/15*c**2 + 2/15*c + 4/5*c**3 + 8/15*c**4 + 0.
2*c*(c + 1)**4/15
Find b, given that 3926208/5 + 6864/5*b + 3/5*b**2 = 0.
-1144
Suppose 3*s - 16*f = -20*f + 6, 4*s = 4*f + 8. Suppose 10*t**2 - 8 + 6*t + 11*t**2 + 22*t - 5*t**s = 0. What is t?
-2, 1/4
Let d = 168 - 166. Let y(u) = 7*u**2 + 22*u + 22. Let m(h) = 120*h**2 + 375*h + 375. Let w(i) = d*m(i) - 35*y(i). Factor w(b).
-5*(b + 2)**2
Let u(y) be the second derivative of -y**5/4 - 5*y**4/3 + 70*y**3/3 - 80*y**2 - 1344*y. Find s, given that u(s) = 0.
-8, 2
Let z = -16497/20 + 825. Let x(c) be the second derivative of -2*c**3 - 12*c**2 - 5*c + z*c**5 + 1/2*c**4 + 0. Determine k, given that x(k) = 0.
-2, 2
Let i = 313232 - 313230. Suppose 30/7*z - 3/7*z**i + 33/7 = 0. Calculate z.
-1, 11
Factor 5/4*u**2 - 435/2 - 425/4*u.
5*(u - 87)*(u + 2)/4
Let a be 20/19 - -2 - (-3 - -3). Let g = 251/76 - a. Determine r, given that 1/2 + r**2 + g*r**3 + 5/4*r = 0.
-2, -1
Let v(c) = -5*c - 28. Let u be v(-4). Let i(p) = p**3 + 8*p**2 + 2*p + 19. Let s be i(u). Solve -s*n + 2*n**2 - 3*n - 58 + 38 = 0 for n.
-2, 5
Let h(n) be the third derivative of -n**7/1050 - n**6/75 + n**5/15 - 2*n**2 - 102. Solve h(z) = 0 for z.
-10, 0, 2
Let h(u) be the third derivative of u**10/25200 - u**9/6300 + u**8/5600 + 13*u**4/2 - 34*u**2. Let d(g) be the second derivative of h(g). Factor d(x).
6*x**3*(x - 1)**2/5
Let h be (-11)/75 - 96/(-864)*3/2. Let g(m) be the third derivative of -1/150*m**6 - 6*m**2 + 0*m + h*m**5 + 0 - 2/15*m**3 + 1/20*m**4. Factor g(l).
-2*(l - 2)*(l + 1)*(2*l - 1)/5
Let b = -63523/4 + 32427/2. Determine v so that -1/4*v**4 - 242*v - 165/2*v**2 + b - 8*v**3 = 0.
-11, 1
Let h(i) be the second derivative of i**6/10 - 3*i**5/5 - 13*i**4/4 + 2*i**3 + 18*i**2 - 4*i + 804. Solve h(o) = 0.
-2, -1, 1, 6
Suppose -1/3*z**2 + 451/3*z + 452/3 = 0. What is z?
-1, 452
Suppose 32*h + 224/11 - 8*h**3 - 6/11*h**4 - 32/11*h**2 = 0. Calculate h.
-14, -2, -2/3, 2
Let x(q) = -10*q**2 - 82*q + 120. Let g(c) = -9*c**2 - 77*c + 120. Let h(s) = -6*g(s) + 5*x(s). Determine u so that h(u) = 0.
-15, 2
Let q be 5350/70 + (-9)/21. What is x in 48*x - x**2 - 182 - 16*x + q - 150 = 0?
16
Factor 17*x**2 - 6*x + 30 - 5*x + 29*x**2 - 69*x**2 + 24*x**2.
(x - 6)*(x - 5)
Suppose 10*d - 21 = 19. Suppose f + 0*f = d. Solve -25*o**2 - 18*o + 13*o**2 + 9*o**f - 12*o**3 - 27*o**2 = 0 for o.
-1, -2/3, 0, 3
Solve -168*o**2 + 13*o**2 + 153*o**2 + 591 - 2792*o - 3381 = 0.
-1395, -1
Factor -3/4*l**2 - 11163/4 + 183/2*l.
-3*(l - 61)**2/4
Let x(n) = 40*n - 86. Let a be x(6). Suppose 0 = -32*d + a + 38. Factor -15/2*w**2 - 3/2*w**3 - 12*w - d.
-3*(w + 1)*(w + 2)**2/2
Suppose 2*b = -z + 53, -2*b - 8*z + 11*z + 33 = 0. Factor 3*m**4 + m**4 - b*m**2 + 30*m - 14*m + 2*m**4 + m**5 + m**3.
m*(m - 1)**2*(m + 4)**2
Let w(y) be the first derivative of y**6/480 + y**5/20 + 3*y**4/32 - 11*y**3/12 + 129*y**2/2 - 2. Let z(l) be the second derivative of w(l). Factor z(m).
(m - 1)*(m + 2)*(m + 11)/4
Let i(b) be the second derivative of -4*b**4/39 + b**3 - 2349*b. Let i(l) = 0. What is l?
0, 39/8
Let s(j) be the first derivative of 188*j**6 + 22*j**3 - j**2 + 31*j**4 - 93 - 4*j - 62 - 8*j**5 - 212*j**6. Solve s(f) = 0 for f.
-1/2, 2/9, 1
Let q(b) = 11*b + 341. Suppose 0*t = 4*i - 2*t + 122, -4*i = -5*t + 119. Let p be q(i). Determine l so that 0*l + p*l**3 + 2/15*l**4 - 8/15*l**2 + 0 = 0.
-2, 0, 2
Let c = -6 - -33. Let i be ((-36)/c)/(1/(-15)). Factor -3*d**2 - 16*d - 10*d**2 + 5*d**2 + 4*d**2 + i.
-4*(d - 1)*(d + 5)
Let d(f) be the third derivative of -f**8/21 - 2*f**7/105 + 4*f**6/5 + 38*f**5/15 + 10*f**4/3 + 2*f**3 + 48*f**2 + 17. What is q in d(q) = 0?
-1, -1/4, 3
Let f(h) be the third derivative of 5*h**8/336 - 2*h**7/21 - 11*h**6/24 + 5*h**5/2 - 845*h**2. Factor f(o).
5*o**2*(o - 5)*(o - 2)*(o + 3)
Let p(s) be the first derivative of -92 + s**5 - 5*s**2 + 15/4*s**4 + 0*s - 5/6*s**6 - 5/3*s**3. Suppose p(u) = 0. What is u?
-1, 0, 1, 2
Suppose 0 = -10*r + 14*r, 5*u = 4*r + 55. Solve -379*z**2 + 294*z - 661*z**2 - u - 8 + 1 - 1352*z**3 = 0.
-1, 3/26
Factor 96*p + 130*p**2 - 16*p**3 + 26*p**3 + 45*p**3 + 5*p**4 - 16*p.
5*p*(p + 1)*(p + 2)*(p + 8)
Factor -52/3*j + 2/3*j**2 - 112/3.
2*(j - 28)*(j + 2)/3
Let w be 19/7 - 17/(952/(-16)). Solve 4*q**w + 103*q**4 - 2*q**2 - 99*q**4 - 2*q**2 - 4*q = 0 for q.
-1, 0, 1
Suppose 0 = 28*y - 3*c - 118, -2*c + 23 = 27. Suppose -1/5*r**3 - 1/5*r**y + 0*r + 0 + 0*r**2 = 0. What is r?
-1, 0
Let c(r) be the first derivative of -r**6/39 + 2*r**5/65 + 15*r**4/26 - 10*r**3/39 - 34*r**2/13 + 48*r/13 + 568. Find o, given that c(o) = 0.
-3, -2, 1, 4
Suppose 310 = -5*z - 5*x, -z + 2 - 48 = -3*x. Let q be z/(-8) - (2 + -4 + 7). Let -3/2 + 3/4*a**3 - 15/4*a + 3/4*a**4 - q*a**2 = 0. Calculate a.
-1, 2
Let o(u) be the second derivative of u**4/6 + 13*u**3/3 + 16*u**2 + 65*u. Let p(b) = b. Let t(l) = 2*o(l) - 20*p(l). Find i such that t(i) = 0.
-4
Let a = -391021 - -2737151/7. Solve a*y**2 + 60/7 - 32/7*y = 0.
3, 5
Let z(h) be the second derivative of 18*h**3 + h - 98 - 486*h**2 - 1/4*h**4. Solve z(r) = 0 for r.
18
Let k be ((-172)/(-9632))/(1/4). Let w(v) be the second derivative of -6*v - 12/7*v**3 + 0 - k*v**4 - 108/7*v**2. Factor w(x).
-6*(x + 6)**2/7
Suppose 60*g = 120*g + 112*g - 516. Let y(q) be the third derivative of -1/2*q**4 - 8 + 0*q**5 + 1/30*q**6 - 4/3*q**g + 0*q - q**2. Factor y(j).
4*(j - 2)*(j + 1)**2
Factor 14*i**2 + 1/5*i**3 + 203/5*i + 134/5.
(i + 1)*(i + 2)*(i + 67)/5
Let o = 439/90 - 23/18. Let v be 4/34 - ((-16744)/595)/26. Find q, given that 2/5*q**3 - o*q - v*q**2 - 2 = 0.
-1, 5
Let r(f) = f**3 - 20*f**2 + 66*f + 23. Let c be r(16). Let v be 2/((15/(-6))/(c/(-22))). Factor 10/7*u**2 - v*u + 4/7.
2*(u - 1)*(5*u - 2)/7
Let p(m) be the first derivative of -m**6/240 - 3*m**5/40 - 5*m**4/16 - 29*m**3 + 140. Let u(s) be the third derivative of p(s). Suppose u(y) = 0. Calculate y.
-5, -1
Suppose 2*m + 25 = -3*m. Let x(p) = -25*p - 10. Let g(s) = s**2 + 26*s + 12. Let v(n) = m*g(n) - 6*x(n). Find w, given that v(w) = 0.
0, 4
Suppose 0 = -3*q - 2*q - 5*g + 35, -3*q - 4 = -2*g. Suppose 21*s + 7*s - 17 - 10 + 5 - 4*s**2 - q = 0. Calculate s.
1, 6
Factor -176/3 + 52/3*m - 1/3*m**3 + 20/3*m**2.
-(m - 22)*(m - 2)*(m + 4)/3
Let l(r) = 10506*r + 357248. Let p be l(-34). Factor -p*z - 4/3*z**2 + 0.
-4*z*(z + 33)/3
Suppose 0 = -f -