irst derivative of -3*l**4/8 + 9*l**3/2 + 159*l**2/2 + 144*l - 193. Factor j(x).
-3*(x - 16)*(x + 1)*(x + 6)/2
Let x(r) be the first derivative of -2*r**3/9 - 1940*r**2/3 - 1881800*r/3 - 526. Factor x(u).
-2*(u + 970)**2/3
Let h(u) be the first derivative of -u**6/96 + u**5/48 + 2*u**2 + 4*u - 51. Let c(q) be the second derivative of h(q). Solve c(n) = 0 for n.
0, 1
Let i(w) be the first derivative of 8/3*w**3 + 0*w**2 + 26/45*w**5 + 8/3*w**4 + 92 + 1/27*w**6 + 0*w. Let i(j) = 0. What is j?
-6, -1, 0
Factor 19*i**3 + 62*i**2 + 32*i**2 + 76*i**2 - 32*i**3 + 18*i**3.
5*i**2*(i + 34)
Let n = -1522 + 1520. Let x be 11/(2 - -9)*n/(-10). Factor x*i + 0 + 0*i**2 - 1/5*i**3.
-i*(i - 1)*(i + 1)/5
Let x = 7157 - 7132. Determine v, given that x*v**2 + 1/2*v**4 - 42*v - 6*v**3 + 45/2 = 0.
1, 3, 5
Let l(v) be the second derivative of 0 + 0*v**4 + 3/4*v**2 - 7/24*v**3 + 1/80*v**5 - 89*v. Factor l(n).
(n - 2)*(n - 1)*(n + 3)/4
Let l(q) be the first derivative of -21904*q - 4/3*q**3 - 196 - 296*q**2. Factor l(o).
-4*(o + 74)**2
Solve 4194*k - 4*k**3 - 4026*k - 31*k**2 + 3*k**3 - 136*k**2 = 0.
-168, 0, 1
Suppose 0*t + 0*t - 3*t = 0. Let a(y) be the second derivative of 0*y**2 - 2*y + 0 - 1/6*y**6 + 0*y**4 - 1/4*y**5 + t*y**3. Factor a(o).
-5*o**3*(o + 1)
Suppose -91*k + 436 - 28 = 44. Factor 1/6*t**5 + 1/2*t**k - 1/3*t + 1/6*t**3 - 1/2*t**2 + 0.
t*(t - 1)*(t + 1)**2*(t + 2)/6
Suppose 180*r**4 + 5*r**5 - r**5 + 3486*r**2 - r**5 + r**5 + 2014*r**2 - 2100*r**3 = 0. What is r?
-55, 0, 5
Factor -11/5*o**2 - 81/5 - 60*o.
-(o + 27)*(11*o + 3)/5
Let d(z) = 0 + 2 + 4*z + 212*z**2 - 1 - 213*z**2. Let o be d(3). Suppose 968/15*h**o + 238/5*h**2 + 1562/15*h**3 + 128/15*h + 8/15 = 0. Calculate h.
-1, -1/4, -2/11
Let b(r) be the first derivative of -r**3/5 - 117*r**2/2 - 582*r/5 + 10500. Find i such that b(i) = 0.
-194, -1
Suppose 17/8*x**2 - 3/4*x**3 + 1/2 + 27/8*x = 0. Calculate x.
-1, -1/6, 4
Let g(s) be the first derivative of s**6/3 - 18*s**5/5 + 5*s**4/2 + 50*s**3/3 - 6*s**2 - 32*s + 46. Suppose g(c) = 0. Calculate c.
-1, 1, 2, 8
Let -20*d - 43*d**2 + 163*d**2 - 39*d**2 - 21 - 41*d**2 - 39*d**2 = 0. What is d?
-1, 21
Let k(q) = -15*q**2 - 72*q + 111. Let b be 5/(-15) - (2 + 43/(-3)). Let m(i) = i**2 + 4*i - 1. Let u(x) = b*m(x) + k(x). Find v, given that u(v) = 0.
-11, 3
Let r(z) be the third derivative of z**8/1008 - z**7/90 + 19*z**6/360 - 5*z**5/36 + 2*z**4/9 - 2*z**3/9 + 1006*z**2. Let r(m) = 0. What is m?
1, 2
Let k(s) be the third derivative of -s**7/315 + 11*s**6/20 + 67*s**5/30 + 101*s**4/36 - 1790*s**2. Suppose k(j) = 0. What is j?
-1, 0, 101
Find h, given that 0 + 15/2*h**5 + 54*h - 69/2*h**2 + 117/2*h**4 - 171/2*h**3 = 0.
-9, -4/5, 0, 1
Let g(c) be the third derivative of -c**8/168 - c**7/105 + 5*c**6/6 - 8*c**5/5 + 765*c**2 - c. Determine m, given that g(m) = 0.
-8, 0, 1, 6
Let v be (-2016)/(-2772)*(-33)/(-2)*7/147. Factor -v*d + 0 + 1/7*d**2.
d*(d - 4)/7
Let l(o) be the first derivative of -o**4/2 - 65*o**3/3 - 143*o**2/2 + 210*o + 10073. Factor l(d).
-(d - 1)*(d + 30)*(2*d + 7)
Suppose 21 - 29 = -4*i. Factor 1 - 430*o + 15 - 4*o**3 + 446*o - 4*o**i.
-4*(o - 2)*(o + 1)*(o + 2)
Let u = -226 + 263. Determine f so that 161*f**2 + 4*f**5 + 19*f**3 - 80 + 9*f**3 - u*f**2 - 44*f**4 - 32*f = 0.
-1, 1, 2, 10
Let a(h) be the first derivative of 0*h + 1/360*h**6 + 0*h**2 - 5/24*h**4 + 11 - 1/30*h**5 - 16/3*h**3. Let z(w) be the third derivative of a(w). Factor z(t).
(t - 5)*(t + 1)
Let r(u) be the second derivative of u**8/2240 + u**7/140 - 3*u**6/20 + u**5 + 29*u**4/6 - 63*u. Let j(w) be the third derivative of r(w). Solve j(y) = 0.
-10, 2
Let p be ((-1)/6)/(3/(-10) + (1157/65 - 18)). Let -12*g - 32/3 - 4*g**2 - p*g**3 = 0. Calculate g.
-8, -2
Suppose 138/5 - 987/5*r**3 - 231/5*r**4 - 213/5*r + 12/5*r**5 - 219*r**2 = 0. Calculate r.
-2, -1, 1/4, 23
Suppose -3*q = -2*t - 7 - 1, -10 = -4*q + 3*t. Factor -371*p**q + 751*p**4 + 435*p**2 + 540 - 375*p**4 - 900*p - 80*p**3.
5*(p - 6)**2*(p - 3)*(p - 1)
Let h(z) = 228*z**2 + 156*z + 45*z + 52*z**3 + 124 + 131*z. Let r(i) = -8*i**3 - 35*i**2 - 51*i - 19. Let q = -4 + -28. Let u(f) = q*r(f) - 5*h(f). Factor u(g).
-4*(g + 1)**2*(g + 3)
Let k(p) = 9*p**3 - 2050*p**2 + 4081*p - 2024. Let c(h) = -8*h**3 + 2050*h**2 - 4082*h + 2028. Let q(d) = -4*c(d) - 3*k(d). Factor q(v).
5*(v - 408)*(v - 1)**2
Let x be 8/(-3)*(-2)/40. Suppose 5*k = 4*q - 37 - 61, 0 = 2*q - 2*k - 40. Suppose -x*g**4 - 2/3*g**q + 0 - 4/15*g - 8/15*g**3 = 0. Calculate g.
-2, -1, 0
Let c(j) = -9*j**2 - 164*j - 1280. Suppose -6*z - 32 = -14*z. Let l(q) = -8*q**2 - 163*q - 1280. Let k(h) = z*l(h) - 3*c(h). Factor k(m).
-5*(m + 16)**2
Let c be (9/(-42))/(4/14)*(-286)/66. Factor -12 + c*t + 1/4*t**2.
(t - 3)*(t + 16)/4
Let h(y) be the second derivative of -5*y**4/12 + 215*y**3/2 - 1250*y**2 - 9*y - 56. Factor h(a).
-5*(a - 125)*(a - 4)
Let o(r) = 4*r**2 + 12*r - 10. Let q(b) = 9*b - 203. Let c be q(23). Let j(n) = -17*n**2 - 51*n + 41. Let l(i) = c*j(i) + 18*o(i). What is k in l(k) = 0?
-4, 1
Let t(w) be the first derivative of 3*w**5 - 501*w**4/4 + 226*w**3 - 96*w**2 + 1345. Find c such that t(c) = 0.
0, 2/5, 1, 32
Let x(i) = 36*i**2 - 2*i + 2. Let h be x(1). Suppose -11*f + h = f. Factor -8*s**2 + 0*s + 0*s + 5*s**f + 6*s - 3*s**3.
2*s*(s - 3)*(s - 1)
Let r be (-1715)/(-2058)*2*8. Let i(d) be the second derivative of -11*d - r*d**3 + 0 - 5/6*d**6 + 10*d**2 + 1/2*d**5 + 25/4*d**4. Find j such that i(j) = 0.
-2, 2/5, 1
Let r(m) be the first derivative of 1/5*m**2 + 1/15*m**4 + 4 - 12*m + 1/100*m**5 + 1/6*m**3. Let d(h) be the first derivative of r(h). Factor d(x).
(x + 1)**2*(x + 2)/5
Let d(i) = 2*i**2 + 2*i - 21. Let b(f) = -4*f - 2*f + 2 - 3 + 4*f + f**2. Let y(q) = -18*b(q) + 2*d(q). Let y(z) = 0. Calculate z.
6/7, 2
Let s(n) be the third derivative of n**9/151200 - n**8/6300 - n**7/1400 + 12*n**5/5 - 123*n**2. Let t(u) be the third derivative of s(u). Factor t(x).
2*x*(x - 9)*(x + 1)/5
Let f = 23414 - 23412. Solve 0 + 2/5*n**4 + 6/5*n**f - 6/5*n**3 - 2/5*n = 0.
0, 1
Let i(a) = a**3 - 8*a**2 - 20*a + 101. Let y be i(9). Factor -8*u**2 + 14*u**y - 5*u**3 + 0*u**3 + 5*u**2 + 19*u**2.
-5*u**2*(u - 6)
Determine n, given that 2/11*n**3 + 970/11*n - 44 - 488/11*n**2 = 0.
1, 242
Let o(f) be the third derivative of f**7/315 - 13*f**6/90 - 14*f**5/15 - 43*f**4/18 - 29*f**3/9 + 235*f**2 - 2. Suppose o(s) = 0. What is s?
-1, 29
Let d(v) = 7*v**3 + 48*v**2 + 5*v + 86. Let b be d(-7). Let k(w) be the first derivative of -30*w**b - 35/3*w**3 + 20*w - 12. Let k(t) = 0. What is t?
-2, 2/7
Let h(q) = 15*q**3 + 6*q**2 + 37*q + 14. Let a(g) = 4*g**3 - 4. Let o(f) = 4*a(f) - h(f). Factor o(k).
(k - 10)*(k + 1)*(k + 3)
Let r(w) be the first derivative of -w**7/7140 - w**6/765 - w**5/255 + 2*w**3/3 - 9*w**2/2 + 74. Let j(g) be the third derivative of r(g). Solve j(n) = 0 for n.
-2, 0
Let h(k) be the second derivative of -k**4/22 - 115*k**3/11 + 5*k + 250. Factor h(r).
-6*r*(r + 115)/11
Factor 8*y**5 - 5*y**5 - 1008*y**3 - 4272*y + 3144*y**2 - 639042*y**4 + 639153*y**4 + 2160.
3*(y - 2)**4*(y + 45)
Let b(h) = 0*h + 3*h - h + 2*h. Let q be b(6). Factor -26*p + 5*p**4 - q*p - 10*p**3 + 50*p - 15*p**2.
5*p**2*(p - 3)*(p + 1)
Let b(d) be the first derivative of 0*d + 1/5*d**3 - 2 + 1/150*d**5 - 1/12*d**4 + 9/2*d**2 + 1/300*d**6. Let t(v) be the second derivative of b(v). Factor t(q).
2*(q - 1)**2*(q + 3)/5
Let x(y) be the first derivative of y**4 + 2564*y**3/3 + 207350*y**2 + 1221132*y + 1773. Factor x(q).
4*(q + 3)*(q + 319)**2
Let s = -178/3 - -60. Let g = -714 + 714. Determine i so that g*i**2 + 0 + 0*i - s*i**3 + i**4 = 0.
0, 2/3
Factor 75/2*p**3 - 301/2*p**2 + 2*p + 0.
p*(p - 4)*(75*p - 1)/2
Let o(i) be the second derivative of i**6/90 - 2*i**5/3 + 39*i**4/4 - 15*i + 37. Solve o(v) = 0 for v.
0, 13, 27
Let t(h) be the first derivative of 5*h**6/6 - 10*h**5 + 30*h**4 - 1992. Factor t(r).
5*r**3*(r - 6)*(r - 4)
Let d(j) = -j**3 - 4*j + 2. Let i(t) = t**4 - 470*t**3 + 75840*t**2 - 4094072*t + 7888612. Let h(z) = -30*d(z) - 5*i(z). What is o in h(o) = 0?
2, 158
What is v in 0*v + 0 + 584/3*v**3 + 4/3*v**4 + 21316/3*v**2 = 0?
-73, 0
Let r(j) = -j**3 + 17*j**2 + 3*j - 27. Let i be r(17). Suppose -27*s + 15*s = -i. Suppose 0 - 3/5*g + 3/5*g**s = 0. Calculate g.
0, 1
Let g be (-83)/(-152