d derivative of r**8/5040 + r**7/1260 - 37*r**5/30 - 3*r**2 + 3*r. Let g(l) be the third derivative of i(l). Factor g(p).
4*p*(p + 1)
Let j(u) = -2*u - 8. Let w be j(-6). Suppose -r + 26415 = w*r - 5*m, 3*r - 15855 = -3*m. Factor 4*p**5 - 5*p + r*p**3 + 13*p - 5296*p**3 + 4*p**4 - 4*p**2.
4*p*(p - 1)**2*(p + 1)*(p + 2)
Let f = -2606 + 20849/8. Let u(w) be the first derivative of 0*w - 14 - f*w**4 - 3/4*w**2 + 2/3*w**3. Factor u(j).
-j*(j - 3)*(j - 1)/2
Find r, given that 19*r**3 + 105*r**3 + 38*r**3 + 662*r**2 - 116*r**2 + 3*r**4 + 117*r**3 = 0.
-91, -2, 0
Let k(n) = -2*n**3 + 2*n**2 - 7*n + 9. Let t be k(-5). Let x = 346 - t. Factor -4/5*h**x + 0*h + 4/5.
-4*(h - 1)*(h + 1)/5
Factor -95*m + 350*m**3 - 224*m**3 + 75 - 127*m**3 + 21*m**2.
-(m - 15)*(m - 5)*(m - 1)
Let c(d) be the second derivative of 3*d - 3/2*d**3 + 1/14*d**7 + 2 - d**4 + 2/5*d**6 + 3/10*d**5 + 0*d**2. Let c(u) = 0. What is u?
-3, -1, 0, 1
Determine f, given that 1498176 + 1488388*f**2 + 2519695*f + 471761*f + 860*f**3 + 4*f**4 - 5748*f**3 = 0.
-1, 612
Let h be (-24)/(-90) - (11 + 8/(-6) + -11). Determine w, given that -16/5*w + h + 2*w**2 - 2/5*w**3 = 0.
1, 2
Let r(z) = -5*z**3 - 3*z**2 - 2*z - 2. Let h be r(-3). Let m = -41 + h. Let 76*f**4 - 65*f**2 - m*f**4 + 5*f**5 - 5*f - 35*f**3 - 25*f = 0. What is f?
-2, -1, 0, 3
Let s(b) = 54*b**2 - 130*b - 138. Let c(g) = 26*g**2 + g - 2. Let h(z) = 4*c(z) - 2*s(z). Solve h(u) = 0.
-1, 67
Let r(w) be the third derivative of -w**8/168 + 136*w**7/105 + 69*w**6/10 + 208*w**5/15 + 139*w**4/12 - 1334*w**2 + 2*w. Factor r(m).
-2*m*(m - 139)*(m + 1)**3
Let d(q) be the first derivative of -q**3/3 + 95*q**2/2 - 94*q - 2706. Factor d(w).
-(w - 94)*(w - 1)
Let q(g) = -3*g**4 - 392*g**3 - 11464*g**2 + 52276*g - 4. Let f(c) = 2*c**3 - 5*c**2 - c + 1. Let t(x) = 4*f(x) + q(x). Factor t(w).
-3*w*(w - 4)*(w + 66)**2
Let z(i) = -i**2 - 10*i - 1. Let c be z(-7). Let o be (-18)/(-4)*c/30. Determine t, given that -3*t**2 + 6*t + 15*t**2 - 27*t**o + 9*t**2 = 0.
-2/9, 0, 1
Let c(y) = -894*y - 42015. Let z be c(-47). Factor 5/2*t - 25/6 + 3/2*t**2 + 1/6*t**z.
(t - 1)*(t + 5)**2/6
Let c(w) be the first derivative of w**5/15 - 9*w**4/4 - 11*w**3/3 + 3059*w**2/6 + 2888*w + 3803. Factor c(y).
(y - 19)**2*(y + 3)*(y + 8)/3
Let g be ((-2)/6)/(-3 + (-249)/(-36) + -4). Let y(z) be the first derivative of -14 + 0*z - 1/30*z**6 + 7/20*z**g + 0*z**5 - 2/5*z**3 + 0*z**2. Solve y(p) = 0.
-3, 0, 1, 2
Let w(a) be the second derivative of -a**4/12 - 17*a**3/3 + 35*a**2/2 - 3041*a. Factor w(g).
-(g - 1)*(g + 35)
Let c(f) be the first derivative of -1/120*f**6 + 0*f**2 - 3/20*f**5 + 0*f - 9/8*f**4 - 16/3*f**3 + 10. Let n(a) be the third derivative of c(a). Factor n(x).
-3*(x + 3)**2
Let h(k) = 116*k**2 + 224*k - 9222. Let s(i) = -27*i**2 - 52*i + 2128. Let z(a) = 7*h(a) + 30*s(a). Factor z(y).
2*(y - 17)*(y + 21)
Let t(l) be the first derivative of l**4/36 + 32*l**3/9 - 65*l**2/6 + 164*l + 97. Let m(u) be the first derivative of t(u). Solve m(g) = 0.
-65, 1
Let w(p) = -p**3 + 17*p**2 - 56*p + 394. Let b be w(15). Let l(n) be the first derivative of b - 5/2*n**2 + 0*n + 5/3*n**3. Factor l(o).
5*o*(o - 1)
Let f(a) be the first derivative of -3*a**4/20 + 2*a**3 + 183*a**2/10 - 42*a + 1218. Factor f(i).
-3*(i - 14)*(i - 1)*(i + 5)/5
Let v be ((30/4)/(-5))/((-129)/86). Let c be (22/(-121))/(v - 2). Determine a, given that -10/11*a**2 + 8/11*a**3 + 0 + c*a = 0.
0, 1/4, 1
Let y(r) be the first derivative of -3*r**5/5 - 42*r**4 - 1080*r**3 - 11664*r**2 - 34992*r + 171. Factor y(g).
-3*(g + 2)*(g + 18)**3
Suppose 992*n + 112*n**2 - 215*n**2 + 104*n**2 + 246016 = 0. Calculate n.
-496
Let p(j) = j**3 - 25*j**2 + 22*j + 51. Let l be p(24). Factor -144 + 8*i**3 + 2*i**l - 16*i**3 + 5*i**3 + 23*i**2 - 120*i.
-(i - 12)**2*(i + 1)
Let k(b) be the second derivative of -1/270*b**6 - 30*b + 0 + 0*b**2 + 1/27*b**4 - 2/27*b**3 + 1/180*b**5. Let k(l) = 0. Calculate l.
-2, 0, 1, 2
Let n(a) be the first derivative of -a**4/24 - 3*a**3/4 - 7*a**2/2 - 40*a + 121. Let y(u) be the first derivative of n(u). Factor y(l).
-(l + 2)*(l + 7)/2
Factor 1652/15 - 248/15*k**2 + 2/15*k**3 + 1402/15*k.
2*(k - 118)*(k - 7)*(k + 1)/15
Let d(p) be the third derivative of -p**7/1785 - 11*p**6/1020 + 8*p**5/51 + 7*p**2 + 3*p + 232. Factor d(b).
-2*b**2*(b - 5)*(b + 16)/17
Let g be -16 - (53 + -49)*(-8)/2. Find s, given that 5/2*s**4 + 50*s**3 + g + 0*s + 0*s**2 = 0.
-20, 0
Suppose 9*p + 304 = 4183. Let s = 434 - p. Factor 0 + 0*j**s - 2/5*j**4 + 4/5*j + 6/5*j**2.
-2*j*(j - 2)*(j + 1)**2/5
Let h(q) = -15*q**2 - 804*q + 324. Let y be h(-54). Factor 14/5*k**5 + y*k + 0 + 0*k**2 - 24/5*k**3 + 16*k**4.
2*k**3*(k + 6)*(7*k - 2)/5
Let b(x) be the first derivative of 3*x**5/10 + 15*x**4/8 + 5*x**3/2 - 15*x**2/4 - 9*x - 427. What is s in b(s) = 0?
-3, -2, -1, 1
Let u(t) be the first derivative of 16/15*t**3 + 2/5*t**2 - 7/25*t**5 + 1/4*t**4 - 124 + 0*t. Factor u(b).
-b*(b - 2)*(b + 1)*(7*b + 2)/5
Let n = 775/1149 + -3/383. Suppose -2*m = 2*m. Factor m - n*r**2 + 1/2*r + 1/6*r**3.
r*(r - 3)*(r - 1)/6
Let m(v) = 12*v - 4. Let j be m(8). Let b = -80 + j. Determine t so that -3 - 6 + 4*t**3 + 0 - 7 + b*t**2 = 0.
-2, 1
Let p(x) be the third derivative of -x**6/720 + 47*x**5/360 - 23*x**4/72 - 253*x**2. Factor p(s).
-s*(s - 46)*(s - 1)/6
Let i(u) be the third derivative of 1/63*u**7 + 0*u**5 + 0*u**3 + 9*u - u**2 - 1/72*u**6 + 0*u**4 + 0 - 5/1008*u**8. Let i(w) = 0. Calculate w.
0, 1
Let v = 153 - 96. Suppose v = 5*c - 8. Solve 4*w**2 - 10*w - 8 + c*w + 7*w - 6*w**2 = 0.
1, 4
Let i be 4/5*1/(-150). Let s = i - -7522/4125. Factor 20/11*x**3 + 10/11*x + 2/11 + s*x**2 + 2/11*x**5 + 10/11*x**4.
2*(x + 1)**5/11
Let v = -7587/116405 + -1293301747/1951413420. Let s = -1/1524 - v. Suppose -6/11*x + 2/11*x**2 - s = 0. What is x?
-1, 4
Suppose -13*i + 16*i = 2*p + 26, 0 = 5*p - 10. Factor 58*a**3 + 62*a**3 - i*a**2 - 115*a**3.
5*a**2*(a - 2)
Let v = 25509/6170 - -81/1234. Solve v + 3/5*s**2 - 24/5*s = 0.
1, 7
Let r(w) be the second derivative of w**6/135 - w**5/18 + 4*w**4/27 - 4*w**3/27 + 763*w + 2. Factor r(j).
2*j*(j - 2)**2*(j - 1)/9
Let m = -542490 - -542492. Let 6/13*r**3 - 16/13*r**m + 12/13 - 10/13*r = 0. Calculate r.
-1, 2/3, 3
Suppose 4*m - 3 = -5*r, m = 2*r + 24603 - 24599. Let -3*o**m + o**5 + o + 0 + 3/4*o**4 - 17/4*o**3 = 0. Calculate o.
-2, -1, 0, 1/4, 2
Let g(b) = -155*b**3 - 435*b**2 - 3838*b + 6. Let f(l) = 130*l**3 + 435*l**2 + 3840*l - 5. Let p(w) = 6*f(w) + 5*g(w). Determine c, given that p(c) = 0.
-77, -10, 0
Let r(m) = 12*m**3 + 104*m**2 - 524*m - 8. Let l(p) = -8*p**3 - 67*p**2 + 350*p + 5. Let w(g) = 8*l(g) + 5*r(g). Factor w(h).
-4*h*(h - 5)*(h + 9)
Let n be 2541/9108 - (-92)/(-3174). Factor 7/4*f + 5/2 + n*f**2.
(f + 2)*(f + 5)/4
Let 2/3*n - 1/3*n**2 + 280 = 0. Calculate n.
-28, 30
Let c(o) be the first derivative of 2*o**3/3 + o**2/2 + 2*o + 19. Let t be c(-1). Find s, given that 0 - s**4 + 0*s**t + s**2 + 1/2*s**5 - 1/2*s = 0.
-1, 0, 1
Determine p, given that -285/7*p**3 - 585/7*p**2 + 285/7*p + 582/7 + 3/7*p**4 = 0.
-2, -1, 1, 97
Let i(d) be the third derivative of d**5/510 + 385*d**4/102 + 148225*d**3/51 - 1006*d**2 - 2*d. Solve i(z) = 0.
-385
Let w be (24/(-44))/((-30)/14 - (-1416)/1239). Determine a so that 0 - w*a**4 + 18/11*a**2 - 12/11*a + 0*a**3 = 0.
-2, 0, 1
Suppose -4*d = -14*d + 20. Factor -14*u + 699 - 707 + 4*u**3 - d*u**2 - u**2 + u**4.
(u - 2)*(u + 1)**2*(u + 4)
Let g be (-3 - (-2167)/264)/((-3)/(-12)). Let t(b) be the third derivative of -25*b**2 + 0*b - 1/12*b**5 + 25/12*b**4 + 0 - g*b**3. Factor t(o).
-5*(o - 5)**2
Suppose 24 = -17*c + 25*c. Suppose -4*g - g - 19 = c*n, n + 23 = -5*g. Factor -27/4*b**n + 9/2*b**3 - 3/4*b**4 + 0*b + 0.
-3*b**2*(b - 3)**2/4
Let q(z) = z**5 + 209*z**4 - 7*z**3 - 7*z**2 + 420*z + 7. Let v(k) = 70*k**4 - 2*k**3 - 2*k**2 + 120*k + 2. Let g(t) = 2*q(t) - 7*v(t). Factor g(m).
2*m**4*(m - 36)
Suppose -3011056/7*k - 4912/7*k**3 + 1503076/7 + 4/7*k**4 + 1512888/7*k**2 = 0. Calculate k.
1, 613
Let h(n) = -n + 24. Let u be h(12). Solve u*p**4 - 16*p**5 + 83*p**3 - 6*p**2 - 63*p**3 - 4*p - 13*p**2 + 7*p**2 = 0 for p.
-1, -1/4, 0, 1
Let c(w) be the third derivative of 0*w - 7/4*w**4 - 41*w**2 + 15/2*w**3 + 0 - 1/20*w**5. Factor c(u).
-3*(u - 1)*(u + 15)
Let v(a) = -8*a**2 