 -5)*x/(-462). Solve -4/11*a**2 + 2/11*a**3 + m*a**4 + 0 - 8/11*a = 0.
-2, 0, 2
Let l = 21974/17 + -482269/340. Let t = -503/4 - l. Factor -1/2*b**2 - 1/10*b**3 + 1/2 + t*b.
-(b - 1)*(b + 1)*(b + 5)/10
Let b(k) be the second derivative of -k**4/42 - 428*k**3/21 + 860*k**2/7 + 3150*k + 1. Factor b(d).
-2*(d - 2)*(d + 430)/7
Solve -3/8*f**3 + 0 + 3/4*f**2 + 9/8*f = 0 for f.
-1, 0, 3
Let q(l) be the second derivative of l**7/1400 + l**6/600 - 161*l**3/6 + 39*l. Let o(h) be the second derivative of q(h). Factor o(w).
3*w**2*(w + 1)/5
Suppose 2*m = -5*u + 12, -2*m + 0*m = 2*u - 6. What is p in 62 + 34*p**u - 156*p - 3*p**3 + 18 + 9*p**2 + 7*p**3 + 29*p**2 = 0?
-20, 1
Let v(l) be the third derivative of l**5/12 + 175*l**4/24 - 30*l**3 - 1155*l**2. Find y, given that v(y) = 0.
-36, 1
Let t(u) = -u**3 - 4*u**2 - 16*u + 1. Let q be ((-20)/(-110) + (-48)/22)/(-1). Let c(z) = z**2 + 1. Let m(w) = q*t(w) + 22*c(w). Solve m(p) = 0.
2, 3
Let a(g) = -3*g**2 - 52*g + 102. Let p(w) = -2*w**2 - 35*w + 68. Let t(o) = -5*a(o) + 7*p(o). Let c be t(-17). Factor 8/3*q + c - 14/3*q**3 - 8*q**2.
-2*q*(q + 2)*(7*q - 2)/3
Let j be ((-1)/(-4))/(66 + (-20900)/320). Let -4/11*w**3 - 1/11*w**4 + j*w - 2/11*w**2 + 3/11 = 0. Calculate w.
-3, -1, 1
Let m(n) be the second derivative of 0 - 1/15*n**3 - 1/30*n**4 + 2/5*n**2 + 65*n. Let m(w) = 0. What is w?
-2, 1
Factor -12*k**2 - 118*k + 39*k - 29*k + 10*k**2 + 6*k**2 + 504.
4*(k - 21)*(k - 6)
Let d(m) be the third derivative of -m**7/1680 - 17*m**6/120 - 2243*m**5/240 + 391*m**4/8 - 1587*m**3/16 + m**2 + 112. Factor d(t).
-(t - 1)**2*(t + 69)**2/8
Suppose 64 + 265 = 47*g. Suppose 3*l + g = -d - 0, 4*d - l - 11 = 0. Factor -4/3 - 4/3*q**3 + 4/3*q + 4/3*q**d.
-4*(q - 1)**2*(q + 1)/3
Suppose -441 + 126*b - 22*b + 884 - 132*b**3 + 116*b**2 - 435 + 28*b - 124*b**4 = 0. What is b?
-1, -2/31, 1
Let r(p) be the second derivative of p**7/1960 + p**6/56 + 13*p**5/140 - p**3/3 + p**2 + p + 146. Let g(x) be the second derivative of r(x). Factor g(k).
3*k*(k + 2)*(k + 13)/7
Factor -11*l + 10/3*l**2 + 3.
(l - 3)*(10*l - 3)/3
Let u(b) be the first derivative of 9*b**6/2 + 1221*b**5/5 + 13311*b**4/4 - 3795*b**3 - 1587*b**2 + 348. Solve u(i) = 0.
-23, -2/9, 0, 1
Let d = -94893 + 94895. Let 0 + 2/9*v + 4/3*v**3 + 8/9*v**4 - 16/9*v**5 - 10/9*v**d = 0. Calculate v.
-1, 0, 1/2
Factor 112/9 - 110/9*d - 4/9*d**2 + 2/9*d**3.
2*(d - 8)*(d - 1)*(d + 7)/9
Let i = -1384/11 + 9853/77. Suppose 24/7 - 3/7*x**4 + i*x**3 + 9*x**2 + 69/7*x = 0. What is x?
-1, 8
Let q = 111 + -126. Let c be (q + 16)/((-3)/(-1 - 5)). Factor 8/5 + 2/5*m**2 + c*m.
2*(m + 1)*(m + 4)/5
Let o = -16/243 - -242/1215. Let n(r) be the first derivative of -2/25*r**5 + 2/15*r**3 + 0*r - 1/5*r**4 + 12 + 0*r**2 + o*r**6. Let n(k) = 0. What is k?
-1, 0, 1/2, 1
Let m be (3641 + 1 - -2)*(-19)/(-95). Let r = m - 728. What is a in -8/5*a**2 - 2*a - 2/5*a**3 - r = 0?
-2, -1
Let w = 141479/3 + -47159. What is k in 2/3*k**3 - w*k**2 - 10/3*k - 2 = 0?
-1, 3
Let m be -15*(7 - 214/30). Solve 59*f + 201 - 3*f**m - 167*f - 90*f = 0.
-67, 1
Let p(y) be the third derivative of y**9/7560 + y**8/3360 - y**7/126 + y**6/45 + 41*y**4/24 - 77*y**2. Let x(d) be the second derivative of p(d). Factor x(c).
2*c*(c - 2)*(c - 1)*(c + 4)
Let f(p) be the third derivative of -p**5/240 - 67*p**4/24 - 4489*p**3/6 + 6*p**2 + 54*p. Determine j, given that f(j) = 0.
-134
Let j be (-6 + 2)*(-3 + (-6)/(-8)). Let z(n) be the first derivative of 2/5*n**5 - 1/9*n**6 + 2/9*n**3 - 1/2*n**4 - j + 0*n + 0*n**2. Factor z(d).
-2*d**2*(d - 1)**3/3
Let p(q) be the first derivative of 12/5*q**5 + 0*q**2 + 0*q - q**4 + 0*q**3 + 38. Factor p(h).
4*h**3*(3*h - 1)
Let d(j) be the third derivative of -2/15*j**4 + 0 + 0*j - 1/150*j**5 - 16/15*j**3 - 92*j**2. Solve d(v) = 0.
-4
Let u(b) be the first derivative of 176 - 24*b**3 - 3375*b**4 + 14*b**2 + 107 + 3380*b**4 + 24*b. Factor u(z).
4*(z - 3)*(z - 1)*(5*z + 2)
Let c(w) be the first derivative of -w**7/2100 + 7*w**5/300 - w**4/10 + 64*w**3/3 + 36. Let d(f) be the third derivative of c(f). Solve d(x) = 0.
-3, 1, 2
Let m(i) be the first derivative of -2/15*i**5 + 16/3*i**2 - 4*i**3 - 68 - 10/3*i + 4/3*i**4. Determine g, given that m(g) = 0.
1, 5
Let y(h) be the second derivative of -2*h + 1/25*h**5 - 3 - 2/15*h**3 + 6/5*h**2 - 1/5*h**4. Solve y(b) = 0 for b.
-1, 1, 3
Let p(q) = -q**3 - 8*q**2 - 7*q + 3. Suppose -2*l = -9*l - 49. Let g be p(l). Factor 47*x - 36 - 4*x**2 + g*x**2 - 59*x.
-(x + 6)**2
Let d(j) = 50*j**4 + 165*j**3 + 295*j**2 - 510*j. Let a(i) = -13*i**4 - 41*i**3 - 74*i**2 + 128*i. Let p(c) = -15*a(c) - 4*d(c). Factor p(v).
-5*v*(v - 1)*(v + 4)*(v + 6)
Let c = 384 - 294. Suppose -25*v + c = 5*v. Factor v + 15/2*u - 3*u**2 - 15/2*u**3.
-3*(u - 1)*(u + 1)*(5*u + 2)/2
Let r(w) be the first derivative of 16*w**5/15 + 89*w**4/12 + 50*w**3/3 + 22*w**2/3 - 56*w/3 + 10219. Determine i, given that r(i) = 0.
-2, 7/16
Let c(l) = l**4 + l**3 + l**2 + l - 3. Let w(k) = 31*k**4 + 141*k**3 - 93*k**2 - 49*k - 24. Let f(o) = -30*c(o) + 5*w(o). Factor f(y).
5*(y - 1)*(y + 6)*(5*y + 1)**2
Let t(l) be the third derivative of 2*l**7/315 + l**6/45 - 11*l**5/45 - 2*l**4/3 + 1035*l**2 - 2. Factor t(k).
4*k*(k - 3)*(k + 1)*(k + 4)/3
Let w = -2 + 7. Suppose -4 = -b + 2*l, -7*l + 2*l = w*b - 5. Suppose 14*t**2 + 6*t**2 + 22*t + 4 + 0*t**b - 2*t**2 = 0. What is t?
-1, -2/9
Factor -99/5*r**2 + r**3 - 4*r + 0.
r*(r - 20)*(5*r + 1)/5
Let v(o) be the third derivative of o**6/180 - 43*o**5/90 + 97*o**4/18 - 152*o**3/9 - 145*o**2 + 9*o. Factor v(c).
2*(c - 38)*(c - 4)*(c - 1)/3
Determine l, given that -18*l**2 + l**2 + 12*l**2 + 384 + 84*l + 4*l + 3*l**2 = 0.
-4, 48
Suppose 5*n - 15 = 10. Let t be (9 + (-2 - 2))*1. Determine g, given that 34*g**n + 31*g**5 - 144*g**3 - 14*g + 4 + 124*g**2 - 24*g - 11*g**t = 0.
-2, 1/3, 1
Let h = -258 + 263. Suppose -3*l**3 + 216*l**4 + 7*l**5 - 225*l**4 + h*l**5 = 0. What is l?
-1/4, 0, 1
Factor 0 + 399/4*l**3 - 16*l**5 + 0*l + 396*l**4 + 25/4*l**2.
-l**2*(l - 25)*(8*l + 1)**2/4
Let a(u) be the first derivative of -1/3*u**3 + 11*u**2 - 121*u - 70. Solve a(x) = 0.
11
Let j(f) = -3*f**3 - 14*f**2 - 12*f - 27. Let d be j(-6). Let y be (-3)/(-9) + 342/d. Factor 0 - 3/7*a**2 - y*a.
-3*a*(a + 5)/7
Let y(f) be the first derivative of -2*f**5/45 - 19*f**4/6 - 328*f**3/27 - 12*f**2 - 779. Find r, given that y(r) = 0.
-54, -2, -1, 0
Let h = -59 + 102. Let c = h + -37. Factor 16 - c*n + 11*n + 10*n + n + 4*n**2.
4*(n + 2)**2
Let o(v) be the second derivative of v**6/120 - v**5/5 + 41*v**4/48 - 13*v**3/12 + 3*v - 421. Determine w, given that o(w) = 0.
0, 1, 2, 13
Let i = -25939/120 + 3248/15. Let t(p) be the first derivative of 7/6*p**3 + 1/2*p - 17/12*p**2 + 1 + i*p**4. Find d such that t(d) = 0.
-3, 1/3
Let f be (-1 - -2) + 17 + (-101365)/(-99). Let g = f + -1041. Factor 2/9*a**3 - 14/9*a + g + 4/9*a**2.
2*(a - 1)**2*(a + 4)/9
Let l(o) = 481*o + 5293. Let m be l(-11). Find k, given that 12/7*k**m - 11/7*k + 2/7 - 2*k**4 + 11/7*k**3 = 0.
-1, 2/7, 1/2, 1
Let m(y) be the second derivative of -y**5/60 + 35*y**4/36 - 61*y**3/6 + 87*y**2/2 - 410*y. Factor m(t).
-(t - 29)*(t - 3)**2/3
Find b such that -864*b**2 - 53747712 + 2/3*b**3 + 373248*b = 0.
432
Let d = 1549/3948 - -8/329. Let y(b) be the first derivative of -5 + 10/9*b**3 + d*b**4 - 10/3*b - 5/6*b**2. Suppose y(i) = 0. What is i?
-2, -1, 1
Find b, given that 2*b**3 + 0*b + 4/3*b**2 + 0 + 2/3*b**4 = 0.
-2, -1, 0
Factor -90*w**2 - 50*w**3 - 449*w**4 - 2*w**5 + 135 + 135*w + 484*w**4 - 3*w**5 + 0*w**5.
-5*(w - 3)**3*(w + 1)**2
Let w(u) be the third derivative of 1/300*u**6 + 0*u + 4/5*u**5 + 12800/3*u**3 + 7 + 80*u**4 - 3*u**2. What is k in w(k) = 0?
-40
Let w(t) = -t**2 + 21*t + 6. Let u be w(21). Find z, given that 13 + z**2 + 14 + 16 - 34 + 16*z + u = 0.
-15, -1
Let g = -45895 + 229479/5. Suppose -4/5*c**3 - g*c**2 + 32/5*c + 48/5 = 0. What is c?
-2, 3
Suppose 0 = 28815*v - 28748*v. Let m(z) be the third derivative of -39*z**2 + 0*z - 1/60*z**4 + 0 + v*z**3 - 1/450*z**5. Let m(l) = 0. Calculate l.
-3, 0
Let t(i) be the first derivative of -i**6/1080 - 17*i**5/90 - 289*i**4/18 - 2*i**3 - 130. Let u(c) be the third derivative of t(c). Let u(v) = 0. What is v?
-34
Let p(t) be the third derivative of 0*t - 75/8*t**4 + 37/20*t**5 - 9*t**3 + 9/