+ 1/8*i**4 - 7*i**2 - 2*i**3 - 8*i. Solve b(q) = 0.
-2, -1, 4
Let a(j) be the third derivative of j**5/510 + 1183*j**4/102 + 1399489*j**3/51 + j**2 + 6*j - 9. Factor a(v).
2*(v + 1183)**2/17
Suppose 77/2*c - 38*c**2 + 0 - 1/2*c**3 = 0. Calculate c.
-77, 0, 1
Let y = 238225/48 - 4963. Let o(i) be the second derivative of 0 - 14*i - y*i**3 - 1/8*i**2 + 1/96*i**4. Solve o(h) = 0.
-1, 2
Let x(l) = 3*l**2 - 10*l + 25. Let q = -49 + 54. Let h(g) = -q*g**2 + 0*g**2 + g**2 + 3*g**2. Let w(s) = -6*h(s) - 3*x(s). Factor w(o).
-3*(o - 5)**2
Let f(d) be the third derivative of -d**7/525 + 31*d**6/150 + 43*d**5/50 - 31*d**4/30 - 128*d**3/15 + 481*d**2. What is b in f(b) = 0?
-2, -1, 1, 64
Let m = -81805 + 409026/5. Solve u**2 - 9/5 + m*u**3 + 3/5*u = 0.
-3, 1
Suppose -86*k - 22 = -42 - 152. Let n(t) be the first derivative of -k + 0*t + 1/8*t**2 - 1/12*t**3. Let n(o) = 0. What is o?
0, 1
Let s(z) be the first derivative of z**5/90 - z**3 + 73*z**2/2 - 34. Let w(q) be the second derivative of s(q). Factor w(p).
2*(p - 3)*(p + 3)/3
Solve -61*b - 476*b**3 + 225*b**2 + 837*b + 3*b**4 - 395*b**2 + 392 - 532*b**2 + 7*b**4 = 0 for b.
-2, -2/5, 1, 49
Let h(v) be the first derivative of -v**5/10 - 9*v**4/8 + 2*v**3/3 + 9*v**2 - 7285. Factor h(u).
-u*(u - 2)*(u + 2)*(u + 9)/2
Let 36/7 + 4/7*m**2 + 24/7*m = 0. Calculate m.
-3
Factor -2178/13*q + 2176/13 + 2/13*q**2.
2*(q - 1088)*(q - 1)/13
Let d(x) be the third derivative of -1/1680*x**7 - 1/160*x**5 - 1/240*x**6 + 0*x + 0 - 183*x**2 + 1/12*x**3 + 1/48*x**4. Factor d(u).
-(u - 1)*(u + 1)*(u + 2)**2/8
Let k(r) be the third derivative of r**6/90 - 8*r**5/15 + 32*r**4/3 - 311*r**3/6 - 28*r**2. Let f(p) be the first derivative of k(p). Factor f(n).
4*(n - 8)**2
Let u(a) be the third derivative of -a**7/315 + 2*a**6/15 + a**5/90 - 2*a**4/3 + 2842*a**2. Determine t so that u(t) = 0.
-1, 0, 1, 24
Let w(a) be the first derivative of -2*a**3/15 - 54*a**2/5 - 224*a - 110. Factor w(c).
-2*(c + 14)*(c + 40)/5
Let k be 33/30 + (-2)/6*2634/(-2195). Suppose k*u**2 + 87*u + 2523/2 = 0. Calculate u.
-29
Let o = 836347/3 - 278769. Suppose -200 - 2/9*d**2 - o*d = 0. What is d?
-30
Find i, given that -171 - 519/2*i - 90*i**2 - 3/2*i**3 = 0.
-57, -2, -1
Let d(g) = -g**3 + 13*g**2 + 17*g + 14. Let o be d(13). Let b be ((-141)/o)/(2*(-18)/80). Factor 5/3*x**3 + 0 - 4/3*x + b*x**2 - x**4.
-x*(x - 2)*(x + 1)*(3*x - 2)/3
Let l(v) be the third derivative of v**5/150 + 22*v**4/15 + 172*v**3/15 - 294*v**2. Factor l(j).
2*(j + 2)*(j + 86)/5
Let w(d) be the second derivative of 1/120*d**6 + 0 + 23/6*d**3 + 0*d**2 + 7*d - 1/40*d**5 - 1/4*d**4. Let i(m) be the second derivative of w(m). Factor i(n).
3*(n - 2)*(n + 1)
Let d(r) be the first derivative of r**6/2 + 51*r**5/5 - 57*r**4/2 + 2*r**3 + 111*r**2/2 - 57*r + 181. Find b such that d(b) = 0.
-19, -1, 1
Let r(m) be the third derivative of m**6/840 + 2*m**3 + 41*m**2. Let g(t) be the first derivative of r(t). Factor g(p).
3*p**2/7
Suppose 2680*h + 3 = 2679*h. Let x be h + (-341)/(-88) + (-2)/16. Solve x*r - 3/2 + 3/4*r**2 = 0.
-2, 1
Let r(c) be the first derivative of c**4/48 - 7*c**3/6 + 49*c**2/2 + 99*c - 5. Let m(g) be the first derivative of r(g). Factor m(v).
(v - 14)**2/4
Suppose -10*x = -48*x + 76. Let o(y) be the second derivative of 0*y**3 - 1/75*y**5 + 0*y**4 + 0*y**x + 3*y + 0 + 1/315*y**7 + 1/225*y**6. Factor o(j).
2*j**3*(j - 1)*(j + 2)/15
Let x(z) be the third derivative of 0*z + 3/10*z**5 - 9/40*z**6 + 0 + 142*z**2 - 1/8*z**4 + 2/35*z**7 + 0*z**3. What is h in x(h) = 0?
0, 1/4, 1
Let v = 25061 - 25056. Let n(m) be the third derivative of -32*m**2 + 0*m + 3/32*m**4 - 1/480*m**6 + 0 + 0*m**3 - 1/30*m**v. What is x in n(x) = 0?
-9, 0, 1
Let m be -4 - 0 - (-8 - (-2 - 0)). What is i in 13*i - i**3 + 0*i - 25*i - 7*i**m = 0?
-4, -3, 0
Let o be -24 - -24 - 8/(-1). Let n be o - (-4 - (-351)/36). Factor -3/4*l**2 - n*l - 3/2.
-3*(l + 1)*(l + 2)/4
Let z(l) be the first derivative of 2*l**3/3 - 4*l**2 + 3*l + 13. Let v be z(4). Factor 5*f**3 + 2*f**2 - 10*f - v*f**2 - 2*f**2 - 2*f**2.
5*f*(f - 2)*(f + 1)
Let g(j) = 1235*j + 20260. Let i be g(-16). Factor -1855/2*s**2 + 245/2*s**3 - 70 + i*s.
5*(s - 7)*(7*s - 2)**2/2
Suppose -19*v + 280 = -9*v. Let y(m) = m**3 - 5*m**2 - 7*m + 8. Let l be y(6). Factor 2*d + 15*d**2 + 15*d**2 - 2*d**4 - l*d**3 - v*d**2.
-2*d*(d - 1)*(d + 1)**2
Let h(o) be the first derivative of 3*o**5/5 + 39*o**4 - 2172. Factor h(s).
3*s**3*(s + 52)
Let h be ((-14)/(-42))/((-40)/(-12)). Let n(d) be the second derivative of h*d**5 - 19/12*d**3 + 11*d + 5/4*d**2 + 0 + 2/3*d**4. Factor n(b).
(b + 5)*(2*b - 1)**2/2
Let t be (731/85 - 8)/((1 - -2)/30). Let r(a) be the third derivative of -1/780*a**t - 3*a**2 + 0 + 0*a**5 + 0*a**3 + 1/156*a**4 + 0*a. Factor r(j).
-2*j*(j - 1)*(j + 1)/13
Let s(v) be the first derivative of -3*v**2 - 101 + 0*v + 3/2*v**4 + v**3 - 3/5*v**5. Find j, given that s(j) = 0.
-1, 0, 1, 2
Suppose -2*g - 54 + 38 = 0. Let x = -6 - g. Determine n so that 2*n**x + 0*n**2 - 6*n**2 = 0.
0
Let x = -72/19 + 944/209. Let q be -6 - (-1 - -3)/((-77)/266). Factor 2/11*a**2 - q*a + x.
2*(a - 4)*(a - 1)/11
Let -3/4*c**2 + 3/4*c**4 + 0 - 93/2*c**3 + 93/2*c = 0. Calculate c.
-1, 0, 1, 62
Let d(z) be the first derivative of -z**4 - 260*z**3/3 + 9662. Factor d(c).
-4*c**2*(c + 65)
Factor 80/3*z - 32 - 22/3*z**2 + 2/3*z**3.
2*(z - 4)**2*(z - 3)/3
What is y in 27*y - 3/2*y**2 - 48 = 0?
2, 16
Determine r, given that -1918/5*r + 10*r**3 - 956*r**2 - 192/5 = 0.
-1/5, 96
Let c(w) = -29*w**3 + 4821*w**2 - 2894463*w + 18. Let a(j) = 13*j**3 - 2410*j**2 + 1447229*j - 8. Let g(u) = 9*a(u) + 4*c(u). Factor g(p).
p*(p - 1203)**2
Let h(a) be the third derivative of -a**6/200 + 3*a**5/50 + 11*a**4/8 + a**2 - 4995. Suppose h(v) = 0. What is v?
-5, 0, 11
Suppose -427*u + 6 = -426*u. Let x be ((-224)/38 - (-16)/(-152)) + u. Factor -1/7*g**4 + 1/7*g**3 + 1/7*g**2 - 1/7*g + x.
-g*(g - 1)**2*(g + 1)/7
Factor -1/2*k**2 - 41*k + 0.
-k*(k + 82)/2
Let k(b) be the third derivative of b**6/660 - 13*b**5/66 + 238*b**4/33 + 1156*b**3/11 + 18*b**2 + 7*b. Let k(c) = 0. What is c?
-3, 34
Let c(g) be the third derivative of -4*g**5/15 - 3257*g**4/6 - 1628*g**3/3 - 10*g**2 + 92*g. Suppose c(u) = 0. Calculate u.
-814, -1/4
Let n(a) be the third derivative of a**5/4 - 113*a**4/24 - 71*a**3/3 - 59*a**2. Let r(j) = -5*j**2 + 38*j + 47. Let y(h) = -2*n(h) - 7*r(h). Factor y(w).
5*(w - 9)*(w + 1)
Suppose 4*r + 546 = 2*o, -177 + 711 = -4*r - 2*o. Let m = r - -1243/9. Factor -20/9*s**3 + 8/9 - m*s + 4*s**2 + 4/9*s**4.
4*(s - 2)*(s - 1)**3/9
Find y, given that 11013*y**2 + 1425*y - 132*y**4 + 264 + 24*y**4 + 4500*y**3 - 137*y + 181*y + 1825*y = 0.
-2, -1/6, 44
Let i(r) be the first derivative of -r**7/126 - 5*r**6/18 - 143*r**5/60 + 169*r**4/36 + 136*r + 58. Let x(h) be the first derivative of i(h). Factor x(j).
-j**2*(j - 1)*(j + 13)**2/3
Let i(v) be the third derivative of -v**6/180 + v**5/9 - 17*v**4/36 - 28*v**3/9 - v**2 + v + 2311. Suppose i(o) = 0. Calculate o.
-1, 4, 7
Find u such that 40/3*u**2 + 0 + 107/3*u**4 + 5/3*u**5 + 0*u + 142/3*u**3 = 0.
-20, -1, -2/5, 0
Let l(p) be the second derivative of 3*p**5/10 + 9*p**4/4 - 5*p**3/2 - 63*p**2 + 9310*p. Let l(d) = 0. What is d?
-7/2, -3, 2
Let o(g) be the second derivative of -3*g - 1/50*g**5 - 12/5*g**2 - 1/3*g**4 - 5 + 23/15*g**3. Let o(i) = 0. Calculate i.
-12, 1
Suppose 4*v - 8 = 3*r, 0 = 25*r - 30*r + 5*v - 10. Let q(b) be the third derivative of r - 10*b**2 - 1/240*b**5 - 1/96*b**4 + 0*b**3 + 0*b. Factor q(k).
-k*(k + 1)/4
Let z = -26/3071 + 3149/9213. Let m = 22 - 131/6. What is t in -z - m*t**2 - 1/2*t = 0?
-2, -1
Suppose 3*z = 4*d - 6, -2*d - 21619 + 21615 = -2*z. Factor -3/5*c**2 + 57/5*c + d.
-3*(c - 20)*(c + 1)/5
Let h = -60124 - -60128. Factor 25/3*b**h - 40*b**3 - 32*b + 184/3*b**2 + 16/3.
(b - 2)**2*(5*b - 2)**2/3
Let a(f) be the third derivative of -3*f**6/200 + 583*f**5/100 + 1169*f**4/120 + 13*f**3/2 + 48*f**2 + 10*f. Solve a(s) = 0.
-1/3, 195
Let k be (-7)/(4 - -10) + 230/92. Factor -38/9*r + 2 + 22/9*r**k - 2/9*r**3.
-2*(r - 9)*(r - 1)**2/9
Find v, given that 1/4*v**3 - 61/4*v - 3*v**2 - 12 = 0.
-3, -1, 16
Let k = 179 + -177. Factor 654*c**k + 18 - 704*c**2 + 5*c**3 - 18.
5*c**2*(c - 10)
Let m(a) be the second derivative of -a**6/15 - 175*a**