 -380*g**2 + 2112*g - 11744. Let o(j) = -214*j**2 + 1207*j - 6711. Let s(w) = -16*o(w) + 9*x(w). Let s(t) = 0. Calculate t.
6, 70
Let q(t) be the third derivative of -t**8/784 - 11*t**7/490 + 5*t**6/56 - 13*t**5/140 + t**2 + 558. Suppose q(g) = 0. What is g?
-13, 0, 1
Suppose 21*f + 20 = 26*f. Let u be (10 + 2)/(f + 0). Factor -4/3*n + 10/3*n**2 + 0 - 8/3*n**u + 2/3*n**4.
2*n*(n - 2)*(n - 1)**2/3
Let -146*x**2 + 95*x**5 - 307*x**2 - 378*x - 302*x + 165*x**4 + 190*x**3 - 100*x**5 - 207*x**2 = 0. What is x?
-2, -1, 0, 2, 34
Let m(r) = 4*r**3 - 33*r**2 + 35*r + 65. Let p(x) = x**3 - 7*x**2 + 9*x + 15. Let n(o) = -6*m(o) + 26*p(o). Factor n(a).
2*a*(a + 2)*(a + 6)
Let d(x) be the third derivative of x**8/84 + 76*x**7/5 - 533*x**6/10 + 160*x**5/3 - x**2 + 27*x - 21. Factor d(n).
4*n**2*(n - 1)**2*(n + 800)
Let o(n) be the third derivative of 25*n**8/112 - 76*n**7/35 + 39*n**6/5 - 137*n**5/10 + 95*n**4/8 - 3*n**3 + 175*n**2. Solve o(z) = 0.
2/25, 1, 3
Let g be -6 + 6 + 1/6. Let z(a) be the second derivative of -13*a - g*a**4 + 1/6*a**3 + 0 + 3/2*a**2. Factor z(f).
-(f + 1)*(2*f - 3)
Let l(c) be the third derivative of c**8/3360 + c**7/560 + c**6/360 + 17*c**3/2 + 26*c**2 - c. Let o(b) be the first derivative of l(b). What is g in o(g) = 0?
-2, -1, 0
Suppose 210*n + 30 = 213*n. Let h(u) = -9*u**2 + 14*u + 120. Let z(k) = 5*k**2 - 8*k - 60. Let p(r) = n*z(r) + 6*h(r). Factor p(w).
-4*(w - 6)*(w + 5)
Let f(o) be the third derivative of -o**6/160 - 63*o**5/80 + 741*o**4/32 + 803*o**3/8 - 3*o**2 + 2*o + 261. Factor f(r).
-3*(r - 11)*(r + 1)*(r + 73)/4
Suppose -72 = -46*d + 40*d. Let h be ((-9)/d)/((-102)/16). Suppose -h*s**2 + 0 - 4/17*s = 0. Calculate s.
-2, 0
Let l = -272764/9 + 30308. Find f, given that 0*f**2 - 2/9*f**3 + l*f + 0 = 0.
-2, 0, 2
Let v(z) = 11*z**4 - z**5 + 0*z + z**3 + 2*z - 1 - 2*z**2 - 10*z**4 + 2. Let k(n) = -n**4 + n**3 + n + 1. Let d(u) = -3*k(u) + 3*v(u). Factor d(l).
-3*l*(l - 1)**3*(l + 1)
Suppose 0 = 3204*m - 3333*m + 3483. Find n such that m*n**2 - 153/8*n + 3/4 = 0.
1/24, 2/3
Let x(c) = -15*c**5 - 141*c**4 + 87*c**3 + 1137*c**2. Let g(w) = 6*w**5 + 57*w**4 - 35*w**3 - 455*w**2. Let l(b) = 12*g(b) + 5*x(b). Factor l(j).
-3*j**2*(j - 3)*(j + 5)**2
Let q = -1718 + 1718. Let g be -1*(3 + -4) + q + 1. Solve 2/17*v - 4/17 + 2/17*v**g = 0.
-2, 1
Determine w, given that -25/3*w**2 - 9*w - 4/3*w**3 + 12 = 0.
-4, -3, 3/4
Let 1/7*u**2 + 0 + 24/7*u = 0. What is u?
-24, 0
Let z = 36 + -32. Suppose 2*j + 0*j = z. Factor -4*b - 8 + 2*b**j + 9 - 1.
2*b*(b - 2)
Let j be (-68)/(7140/(-63))*60/22. Factor 45/11*n + j - 5/11*n**3 - 2/11*n**2.
-(n - 3)*(n + 3)*(5*n + 2)/11
Factor 680/3 + 1/3*f**2 - 227*f.
(f - 680)*(f - 1)/3
Let z be 10*1*(-9)/(-108)*-6. Let u be (-501)/39 + 8 - z. Factor 4/13*o**3 - 2/13*o**4 - u*o**2 + 0 + 0*o.
-2*o**2*(o - 1)**2/13
Let x(r) be the first derivative of -r**5/30 + r**4/6 - r**3/3 - 4*r**2 + 4*r - 27. Let j(o) be the second derivative of x(o). Suppose j(n) = 0. Calculate n.
1
Let z(u) be the second derivative of 9/80*u**5 + 7/120*u**6 - 1/168*u**7 - 7/48*u**4 - 122*u - 1/3*u**3 + 0 + 0*u**2. Suppose z(s) = 0. Calculate s.
-1, 0, 1, 8
Suppose -2*t = -z - z + 924, -5*z + 4*t + 2308 = 0. Suppose 0 = 8*a - 4*a - z. Solve -a + 115 + 5*u**2 = 0.
0
Suppose -15*q + 13*q + 4*o - 4 = 0, -o + 8 = 3*q. Let 0*z + 3/4*z**3 + 0 - z**q + 1/4*z**4 = 0. Calculate z.
-4, 0, 1
Determine r so that -163*r + 160*r + 196*r**2 + 13*r**4 + r**5 + 24*r**4 - 53*r**4 - 180 + 2*r**3 = 0.
-3, -1, 1, 4, 15
Let s(a) be the first derivative of 8*a**5/15 - 35*a**4/3 + 64*a**3 + 54*a**2 - 307. Determine t so that s(t) = 0.
-1/2, 0, 9
Factor -104*m + 61*m - 148*m + m**3 + 1296 - 2*m**2 - 16*m.
(m - 9)**2*(m + 16)
Let v = 3970/43 - 7037/86. Factor 27 - 3*j**2 - 189/2*j + v*j**3.
3*(j - 3)*(j + 3)*(7*j - 2)/2
Determine f, given that -358 + f + f**5 - 4*f**3 - 273*f**4 + 546*f**2 + 85 + 6*f**3 - 4*f**3 + 0*f**5 = 0.
-1, 1, 273
Suppose -88 - 37 = -25*w. Let i(n) be the second derivative of -n**4 + 2*n + 0 + 1/2*n**2 - 27/40*n**w + 5/12*n**3. Solve i(g) = 0.
-1, -2/9, 1/3
Suppose -105*b + 472 + 184 - 131 = 0. Find y, given that 51*y**2 + 189/2*y - 3/2*y**b - 93*y**3 - 147/2 + 45/2*y**4 = 0.
-1, 1, 7
Let c(m) = 210*m**3 + 11145*m**2 + 5475*m - 5460. Let h(y) = -16*y**3 - 857*y**2 - 421*y + 420. Let a(w) = -3*c(w) - 40*h(w). Factor a(r).
5*(r + 1)*(r + 84)*(2*r - 1)
Let b be (-2 + 120/24)*4/6. Let d = -20 - -32. Find y such that y**2 - d*y + 9*y**b + 5*y**3 - 40 - 8*y = 0.
-2, 2
Suppose -2*z + 40 = 2*u, -22*z - 32 = -u - 25*z. Let f(m) be the second derivative of -1/78*m**4 + 0 + u*m + 0*m**2 + 1/13*m**3. Suppose f(g) = 0. Calculate g.
0, 3
Let u(f) be the second derivative of -f**6/195 - 46*f**5/65 - 911*f**4/39 + 4508*f**3/13 - 21609*f**2/13 + 20*f. Factor u(p).
-2*(p - 3)**2*(p + 49)**2/13
Suppose -32*b + 31 = -33. Factor 2702*t - 2711*t - 4*t**2 + t**b.
-3*t*(t + 3)
Suppose -5 = 3*h - s - 0*s, -5*h - 2*s - 12 = 0. Let c be (-16)/(-4) - (0 - h). Factor 2 - 11*t - 8*t**2 + 5*t**2 + 8*t**c.
(t - 2)*(5*t - 1)
Suppose 0 = 5*n - 15, 5 = t + n - 0. Let p = 31 - 19. Factor -p + 12*f - 8*f + 5*f + 3*f**t.
3*(f - 1)*(f + 4)
Find n such that 94 - 180729*n + 2*n**2 + 180615*n + 0*n**2 + 652 + 194 = 0.
10, 47
Let c(z) be the second derivative of z**6/80 - 9*z**5/40 + 45*z**4/32 - 27*z**3/8 + 1208*z. Solve c(g) = 0.
0, 3, 6
Let q(b) be the first derivative of b**6/9 - 92*b**5/15 - 159*b**4/2 - 1988*b**3/9 + 196*b**2/3 + 880*b + 3736. Solve q(l) = 0 for l.
-6, -2, 1, 55
Let b(y) be the third derivative of -y**6/60 + 14*y**5/15 + 31*y**4/3 + 128*y**3/3 + 2340*y**2. Factor b(q).
-2*(q - 32)*(q + 2)**2
Let l(z) be the third derivative of z**8/1176 + 8*z**7/735 - 89*z**6/420 - 158*z**5/105 - 5*z**4/21 + 416*z**3/21 - 474*z**2. Solve l(o) = 0.
-13, -2, 1, 8
Let j(v) be the third derivative of -v**5/300 + 61*v**4/120 + 31*v**3/15 - 558*v**2. What is s in j(s) = 0?
-1, 62
Let j(l) be the second derivative of -3*l**5/20 - 289*l**4/4 - 144*l**3 + 40*l - 13. Factor j(g).
-3*g*(g + 1)*(g + 288)
Suppose 0*h + h - 8 = 0. Let c be (-1)/(3/(8 + -2)) - -4. Let h*r**2 - 2*r - c*r + 4*r**3 + 8*r = 0. What is r?
-1, 0
Factor 28/3 - 26/9*v + 2/9*v**2.
2*(v - 7)*(v - 6)/9
Suppose -143*j + 24 = -135*j. Suppose 4*m**2 - 7 - 11 + j - 1 = 0. What is m?
-2, 2
Suppose -375*g - 294 = -382*g. Suppose -29*s = -8*s - g. Factor 3/2 - 3/4*v**3 + 3/4*v**s - 1/4*v**4 + 11/4*v.
-(v - 2)*(v + 1)**2*(v + 3)/4
Let l = 510328/5 + -102056. Solve -56/5*v**2 - 20*v - l - 4/5*v**3 = 0 for v.
-12, -1
Let m be ((-10)/(-25) + -1)/(18/(-90)). Let w(v) be the first derivative of -25 - 8/5*v + 3/5*v**2 + 2/15*v**m. Determine o, given that w(o) = 0.
-4, 1
Let g = -2369 + 2372. Let x(w) be the third derivative of 1/4*w**4 - 1/20*w**6 - 1/30*w**5 - 10*w**2 + 0*w + 2/105*w**7 - 1/3*w**g + 0. What is u in x(u) = 0?
-1, 1/2, 1
Suppose 2*y + 2*v + 701 = 243, 0 = 2*y - 2*v + 458. Let m = -682/3 - y. Factor m*k**3 + 4/3*k**4 - k**2 - 5/3*k - 1/3.
(k - 1)*(k + 1)**2*(4*k + 1)/3
Suppose -189 + 0*p**4 - 116*p**3 + 3381*p + 12*p**4 - 3237*p - 387 + 256*p**2 = 0. Calculate p.
-4/3, 2, 3, 6
Let f(c) be the second derivative of c**5/120 + c**4/16 - c**3/3 + 32*c**2 - 2*c - 37. Let p(g) be the first derivative of f(g). Factor p(x).
(x - 1)*(x + 4)/2
Suppose 21 = 16*q - 43. Factor -45 + 145*d**2 + 2*d**4 + d**4 - 97*d**2 + 42*d**3 - 42*d - 6*d**q.
-3*(d - 15)*(d - 1)*(d + 1)**2
Let f(j) = j**2 + 11*j + 26. Let c be f(-8). Solve t**3 + 1914 - 1754 - 5*t**c + 4*t**3 - 25*t**2 = 0 for t.
-2, 4
Suppose -3 - 17 = -5*w - 4*o, o + 5 = 5. Suppose 2 - 11/2*h**2 + 5/4*h**w - 1/2*h**5 + h + 7/4*h**3 = 0. Calculate h.
-2, -1/2, 1, 2
Let w be (-2)/(-6) - (2 - (-28)/(-6)). Suppose 7*t + w = 17. Determine s, given that -6*s**4 + 8*s + 8*s**3 - 6 - 9*s**t + 8*s**5 + 21*s**2 - 24*s**3 = 0.
-1, 3/4, 1
Let y(i) be the second derivative of -1/6*i**3 + 1/100*i**5 - 3/10*i**2 - 1/60*i**4 + 77*i + 0. Factor y(q).
(q - 3)*(q + 1)**2/5
Find z, given that -265*z**3 - 303250*z**4 - 148*z**2 - 402*z**2 + 303255*z**4 = 0.
-2, 0, 55
Let x(d) be the first derivative of d**4/8 + 329*d**3/6 + 6468*d**2 - 98784*d - 8098. Find o such that x(o) = 0.
-168, 7
Let t = 9208/3 - 3068. Let q(x) be the first derivative of 11 + 4*x**2 + t*x**3 + 0*x. Factor q(m).
4*m*(m + 