third derivative of 0 - 68*t**2 - 1/6*t**4 + 1/30*t**6 - 1/3*t**5 + 0*t + 10/3*t**3. Factor a(g).
4*(g - 5)*(g - 1)*(g + 1)
Let q = -6159 - -6166. Let x(o) be the third derivative of 0*o**4 + 0 + 0*o**3 + 0*o + 1/105*o**6 + 13*o**2 + 2/105*o**5 + 1/735*o**q. Factor x(j).
2*j**2*(j + 2)**2/7
Let m = -152 + 176. Factor -2 + 3*r**2 + m*r + 1 + 1.
3*r*(r + 8)
Let u(s) be the first derivative of 3/4*s**2 + 7/6*s**3 - 63 + 1/10*s**5 + 0*s + 5/8*s**4. Find g, given that u(g) = 0.
-3, -1, 0
Let o(v) be the first derivative of -6*v + 204 - 3/2*v**2 + 2*v**3 + 3/4*v**4. Find d such that o(d) = 0.
-2, -1, 1
Let n = -603/5 + 2427/20. Let u = -326 - -1309/4. Determine d, given that n*d**2 - d**4 - 5/4*d + 1/4 + u*d**3 = 0.
-1, 1/4, 1
Suppose n - 7*n = -48. Suppose n + 32*w + 4*w**2 + 30 - 10 + 20 = 0. Calculate w.
-6, -2
Let t be -41*10/(-1200) - (-2)/(-6). Let o(v) be the third derivative of t*v**4 + 0 - 1/150*v**5 + 0*v + 0*v**3 - 21*v**2 + 1/600*v**6. Factor o(w).
w*(w - 1)**2/5
Factor 1/4*b**2 - 91 + 87/4*b.
(b - 4)*(b + 91)/4
Let t(r) be the third derivative of -r**7/2100 + r**6/900 + r**5/25 + 71*r**3/3 - r**2 - 130. Let w(o) be the first derivative of t(o). Factor w(m).
-2*m*(m - 4)*(m + 3)/5
Let j(v) = v**2 - 238*v + 9265. Let b be j(49). Solve -8/7*d**3 - 16/7 - 6/7*d**2 + b*d + 2/7*d**4 = 0 for d.
-2, 1, 4
Let n be 1/3 - 1/3 - -2. Let o be (n/6)/(3/18). What is z in 119*z - 22*z**o + 20*z**3 - 57*z - 56*z = 0?
0, 1/2, 3/5
Factor -5/2*o**5 + 693115*o**2 + 459045/2 - 1380165/2*o + 3045/2*o**4 - 234075*o**3.
-5*(o - 303)**2*(o - 1)**3/2
Suppose 163*x - 236 = 104*x. Let o(q) = q**3 + 4*q**2 + 4. Let a be o(-4). Find w, given that 4*w**3 - x*w - 4*w**4 + 33*w**2 - 29*w**2 + 0*w**a = 0.
-1, 0, 1
Factor -58*l + 21*l**2 - 10 - 52*l**2 - 34*l**2 - 40*l + 23*l.
-5*(l + 1)*(13*l + 2)
Let m be (-2 - -3)*41/(-123)*-9. Factor 12/13*j**m + 0 + 0*j + 2/13*j**4 + 10/13*j**2.
2*j**2*(j + 1)*(j + 5)/13
Let r(t) = 5*t - 38. Let z be r(12). Let g be 102/198 + ((-4)/z)/1. Let -1/6*a**2 + g*a - 1/6 = 0. Calculate a.
1
Let u(q) = -16*q**3 - 266*q**2 - 4594*q - 11544. Let j(t) = 2*t**3 + t**2 + t + 2. Let o(f) = -6*j(f) - u(f). Factor o(l).
4*(l + 3)*(l + 31)**2
Let w(c) = 6*c**3 - 80*c**2 - 85*c - 2. Let y(p) = -2 + p**3 - 217*p + 217*p. Let l(h) = w(h) - y(h). Factor l(x).
5*x*(x - 17)*(x + 1)
Let m be 200/40*(-81)/(-540). Let 3/2*l**2 - 9/2 - 15/4*l + m*l**3 = 0. What is l?
-3, -1, 2
Determine d, given that 2/5*d**2 + 34/5*d + 32/5 = 0.
-16, -1
Let o(l) = -465*l + 12092. Let t be o(26). Solve 3/7*s**5 - 15/7*s**4 + 24/7*s**t + 0 + 6/7*s**3 + 0*s = 0 for s.
-1, 0, 2, 4
Factor 110*n**3 + 28*n**4 - 40*n**2 + 17*n**4 - 91*n**4 + 25*n**4 + 7875 - 7950*n + 26*n**4.
5*(n - 7)*(n - 1)*(n + 15)**2
Let k(d) be the third derivative of -44*d**2 + 0*d**3 + 1/1680*d**7 - 1/96*d**4 + 1/320*d**6 + 1 - 1/2688*d**8 + 0*d - 1/480*d**5. Let k(z) = 0. Calculate z.
-1, 0, 1, 2
Let 0 + 42/5*b - 42/5*b**3 + 3/5*b**2 - 3/5*b**4 = 0. Calculate b.
-14, -1, 0, 1
Let n = -74187 - -148377/2. Let 0*o + 3/2 - 3*o**2 + 0*o**3 + n*o**4 = 0. Calculate o.
-1, 1
Let j(t) = -4662*t - 37294. Let b be j(-8). Determine q so that 18/5*q - 3/5*q**b + 48/5 = 0.
-2, 8
Let o = -453/2 - -9517/42. Let k(m) be the second derivative of -1/42*m**4 + 0 + 3/7*m**2 - o*m**3 - 10*m. Factor k(c).
-2*(c - 1)*(c + 3)/7
Let l be (1 - 3)/((-23)/(3864/16)). Determine t so that 20 - l*t + 5*t**2 + 39*t - 16*t**2 + 9*t**2 = 0.
-1, 10
Let -500/3*t - 1/3*t**4 + 5*t**3 + 0 + 0*t**2 = 0. Calculate t.
-5, 0, 10
Let w be 540/24*20/360. Factor -5/2*g**2 - w*g**3 + 5/4*g**4 + 0 + 0*g.
5*g**2*(g - 2)*(g + 1)/4
Find y such that -12/5*y**2 - 486/5 - 2918/5*y = 0.
-243, -1/6
Let d(u) be the second derivative of -u**6/30 - u**5/2 - 25*u**4/12 + 2*u - 105. Factor d(t).
-t**2*(t + 5)**2
Solve 24236*c - 12052*c + 82*c**2 - 11951*c - 316 + c**3 = 0 for c.
-79, -4, 1
Let -5*u**3 - 7425*u - 78267 - 480*u**2 + 41044 + 5633 = 0. Calculate u.
-78, -9
Let c(d) be the second derivative of -d**4/96 + d**3/8 - d**2/2 + 39*d + 8. What is n in c(n) = 0?
2, 4
Let u(n) = 6*n**4 + 219*n**3 + 9*n**2 - 234*n. Let r(g) = -3*g**4 - 110*g**3 - 4*g**2 + 117*g. Let o(c) = 15*r(c) + 7*u(c). Determine b, given that o(b) = 0.
-39, -1, 0, 1
Let n(s) be the second derivative of s**7/840 - 5*s**6/96 - 34*s**2 - 18*s - 1. Let v(i) be the first derivative of n(i). Factor v(c).
c**3*(c - 25)/4
Let r = 8 + -18. Let k(l) = -l**3 - 11*l**2 - 9*l + 14. Let h be k(r). Factor 3*s**4 - 2*s**h - 9*s - 3 + s - 6*s**2.
(s - 3)*(s + 1)**3
Let p(o) = -7*o**2 + o + 1. Let r(t) = 34*t**2 - 919*t - 208854. Let l(x) = 5*p(x) + r(x). Find w such that l(w) = 0.
-457
Determine y so that -32*y**2 + 3*y**3 - 1248*y + 84*y**2 - 157*y**2 - 27*y**2 = 0.
-8, 0, 52
Let y(m) be the first derivative of -56 + 1/3*m**3 + 0*m - 1/4*m**4 + m**2. Factor y(u).
-u*(u - 2)*(u + 1)
Let r = -643286 + 643288. Find c, given that -2/3*c**4 + 0*c - 1/3*c**5 + c**3 + 0*c**r + 0 = 0.
-3, 0, 1
Let a(s) = s**3 - 15*s**2 - 8*s + 19. Let n be a(16). Let y(o) be the first derivative of -147*o - o**3 - 33 + 3*o**2 + n*o. Suppose y(l) = 0. What is l?
0, 2
Let z be (-4 - (-26)/7)/(3*(-16)/56). Let l(a) be the second derivative of -z*a**3 - 30*a + 5/6*a**2 + 0 + 1/36*a**4. Determine r so that l(r) = 0.
1, 5
Suppose 4*r = 29 - 21. Suppose 4*v - 3*s - r*s - 33 = 0, 0 = -2*v - s + 27. Solve 12*w**2 - 2*w + v*w**2 - 3*w**2 - 19*w**3 = 0 for w.
0, 2/19, 1
Let d be (-25 + (-4893)/(-189))*(-2 - -5). Factor 22/15*b**2 - d*b - 8/15.
2*(b - 2)*(11*b + 2)/15
Let u be (-4)/(-24) - 33/(-18). Suppose -1984*l**2 - 2 + 0*l**4 + 1988*l**u - 2*l**4 = 0. What is l?
-1, 1
Suppose 7365*y - 6387 + 930 + y**2 + 4*y**2 - 1913 = 0. Calculate y.
-1474, 1
Let f(y) = 46*y - 134. Let p(v) = -2*v. Let x(q) = f(q) + 6*p(q). Let h be x(4). Determine i, given that -28/3*i**h + 28/3*i + 8/3*i**3 - 8/3 = 0.
1/2, 1, 2
Let o(v) = -280*v + 6. Let q be o(-2). Let b = q - 3960/7. Factor -8/7*w + 6/7 + b*w**2.
2*(w - 3)*(w - 1)/7
Let u(a) be the third derivative of -7*a**2 + 0*a + 0 + 0*a**3 - 1/140*a**5 + 15/56*a**4. Let u(g) = 0. Calculate g.
0, 15
Let d(c) = -c**2 + 103*c - 928. Let t be d(10). Factor 3/2 - 1/6*k**t + 0*k.
-(k - 3)*(k + 3)/6
Let a(q) be the second derivative of -2*q**6/75 - 18*q**5/25 - 44*q**4/15 + 12*q**3/5 + 18*q**2 - 2779*q. Let a(i) = 0. What is i?
-15, -3, -1, 1
Let y(z) be the third derivative of z**6/200 - 451*z**5/100 - z**4/40 + 451*z**3/10 - 2660*z**2. Factor y(q).
3*(q - 451)*(q - 1)*(q + 1)/5
Let d = -5661 - -11323/2. Let p(x) be the first derivative of -22 - 2*x + 2/3*x**3 - 1/4*x**4 + d*x**2. Factor p(s).
-(s - 2)*(s - 1)*(s + 1)
Let j(a) be the first derivative of 2*a**7/21 - 8*a**6/15 - 6*a**5/5 + 4*a**4/3 + 10*a**3/3 + 93*a - 104. Let m(v) be the first derivative of j(v). Factor m(w).
4*w*(w - 5)*(w - 1)*(w + 1)**2
Let b be (-34)/(-85) + (1 - (-76)/10). Let p(l) = -l**3 + 7*l**2 + 14*l + 36. Let t be p(b). Let -9/4*w**2 + 3/2*w + 3/4*w**4 + t*w**3 + 0 = 0. What is w?
-2, 0, 1
Let d(v) be the first derivative of 5*v**5/4 - 5*v**4/2 + 2*v**3 + 27*v**2/2 - 87. Let g(h) be the second derivative of d(h). Factor g(n).
3*(5*n - 2)**2
Let p(b) be the third derivative of -b**6/420 + 16*b**5/105 - 83*b**4/84 - 116*b**3/21 - b**2 - 27*b - 12. Find q such that p(q) = 0.
-1, 4, 29
Factor 243/4*l**5 + 27*l**4 + 3*l**3 + 0 + 0*l**2 + 0*l.
3*l**3*(9*l + 2)**2/4
Let d(o) = o**3 + 43*o**2 + 44*o - 169. Let x be d(-41). Let v = -12499/9 + x. Let 0 - v*z + 1/9*z**2 + 1/9*z**3 = 0. Calculate z.
-2, 0, 1
Let f(g) be the second derivative of -g**4/48 - 31*g**3/24 - 99*g**2/4 - 3*g + 6. Determine n so that f(n) = 0.
-22, -9
Suppose 8 = 4*f, 3*c + 4*f - 188 = -2*c. Suppose -c*l - 34*l = -68*l. Factor 0*i**2 + l + i**3 + 9/4*i**4 + 0*i + 1/2*i**5.
i**3*(i + 4)*(2*i + 1)/4
Let b = -585 - -588. Factor -265004 + b*a**3 + 265022 - 4*a - 18*a**2 + a.
3*(a - 6)*(a - 1)*(a + 1)
Let r(d) be the second derivative of -5/2*d**2 - 1/6*d**3 + 1/20*d**5 + 5/12*d**4 - 132*d + 0. Factor r(s).
(s - 1)*(s + 1)*(s + 5)
Let 2/5*j**3 + 216/5 - 4*j**2 - 6/5*j = 0. Calculate j.
-3, 4, 9
Suppose 0 = -v + 4*a + 28, -2*v + 3576 - 3541 = -5*a. Let b be ((-3)/(-6))/(1 - -1). What is j in v - 4*j - b*j**3 + 2*j**2 = 0?
0, 4
Factor 176 - 17/3*m**2 + 134/3*m - 1/3*m**3.
-(m - 8)*(m