2*l**2 - x - 2*l**3 = 0. Calculate l.
-2, 1
Factor -3/4*c**3 - 3/2*c + 15/4*c**2 - 6.
-3*(c - 4)*(c - 2)*(c + 1)/4
Let y(h) be the first derivative of h**8/7560 + h**7/1260 + h**6/810 - h**3 - 5. Let a(b) be the third derivative of y(b). Factor a(u).
2*u**2*(u + 1)*(u + 2)/9
Let y = 5053/390 + -168/13. Let d(c) be the third derivative of y*c**5 - 2/3*c**4 - 7*c**2 + 16/3*c**3 + 0*c + 0. Solve d(q) = 0.
4
Let y(g) = -g**3 + 5*g**2 - 8*g - 2. Let w(q) = -q**3 + 2*q**2 - q - 1. Let x(b) = 4*w(b) - 2*y(b). Find u, given that x(u) = 0.
-3, 0, 2
Let w(s) be the first derivative of 2*s**5/35 - 79*s**4/14 - 46*s**3/3 - 81*s**2/7 - 555. Factor w(m).
2*m*(m - 81)*(m + 1)**2/7
Let u(s) be the second derivative of -2/3*s**4 + 5/3*s**3 - s**2 + 5*s + 0. Factor u(o).
-2*(o - 1)*(4*o - 1)
Let v(k) be the first derivative of 2*k**5/35 - 9*k**4/14 + 52*k**3/21 - 24*k**2/7 + 395. Factor v(f).
2*f*(f - 4)*(f - 3)*(f - 2)/7
Let o be ((21/12)/7)/(18/24). Let f(j) be the second derivative of 0 + 0*j**2 - 1/15*j**6 + o*j**4 - 9*j + 2/3*j**3 + 1/42*j**7 - 3/20*j**5. Solve f(b) = 0.
-1, 0, 2
Let y = -141 + 198. Suppose m + 3*u = -3*m + 53, -4*m + u = -y. What is t in -22*t**3 - 8/11 - m*t**2 + 80/11*t = 0?
-1, 2/11
Let w(m) be the second derivative of -m**2 + 11*m + 1/6*m**3 + 0 + 1/12*m**4. Factor w(a).
(a - 1)*(a + 2)
Factor -32 + 13/6*b**2 - 1/6*b**3 - 8/3*b.
-(b - 8)**2*(b + 3)/6
Let m = 600 + -344. What is g in -4*g**3 - 261 - m*g - 72*g**2 - 603 - 176*g = 0?
-6
Suppose -3*t + 35 = 2*t. Let u(r) = -8 + 7 + 6 + r + t*r**2. Let q(a) = -8*a**2 - 2*a - 6. Let j(z) = 5*q(z) + 6*u(z). Factor j(h).
2*h*(h - 2)
Let b be ((-3)/22)/(0 - 6/(-128)). Let p = b + 314/55. Factor p*r**2 + 2/5*r**3 + 18/5 + 6*r.
2*(r + 1)*(r + 3)**2/5
Let s be 3 + (0 - (1 - 6)). Determine i, given that s*i**3 + 3*i**4 + 1797*i**5 - 1798*i**5 - 12 + 32*i - 3*i**3 - 27*i**2 = 0.
-3, 1, 2
Let n(t) = 25*t**3 + 1285*t**2 + 1255*t + 315. Let p(b) = 26*b**3 + 1286*b**2 + 1253*b + 315. Let c(g) = -6*n(g) + 5*p(g). Factor c(w).
-5*(w + 63)*(2*w + 1)**2
Let b(q) = -q**4 + q**3 - q**2 + q - 1. Let g(t) = 140*t**5 - 464*t**4 + 19*t**3 + 306*t**2 + 29*t - 34. Let d(s) = 4*b(s) - g(s). Suppose d(r) = 0. What is r?
-1/2, 2/7, 1, 3
Suppose 14*p - 11*p = 5*o + 15, 2*p = -5*o + 35. Find x such that 50/11*x**4 - 24/11*x + 0 - p*x**3 - 112/11*x**2 = 0.
-2/5, 0, 3
Let d(o) be the first derivative of -o**7/1120 + o**6/480 + o**5/80 - 23*o**3/3 + 19. Let n(l) be the third derivative of d(l). Factor n(k).
-3*k*(k - 2)*(k + 1)/4
Let h(r) = 18*r + 112. Let l be h(-6). Suppose 48 = 12*i + l*i. Factor -8/5 + 7/5*f**i + 4*f - 18/5*f**2 - 1/5*f**4.
-(f - 2)**3*(f - 1)/5
Suppose 5 = 4*h + 3*u, -6*u + 2*u - 30 = -2*h. Suppose w - v = 0, h*w + 0*w = v. Factor w*m + 6 - 3/2*m**2.
-3*(m - 2)*(m + 2)/2
Let q = 753283/318 - -1539/106. Let b = -2360 + q. Suppose 40/3*v - 22/3*v**2 - b*v**3 - 8/3 = 0. What is v?
-1, 2/7, 2/5
Let l(h) be the second derivative of h**4/48 + 3*h**3/8 - 5*h**2/4 + 3*h - 6. Factor l(q).
(q - 1)*(q + 10)/4
Let r be 21/14*8/3. Let m be (-14)/(-3) + r*(-1)/(-12). Factor 0*n**3 - 2/7*n**m + 8/7*n**2 - 6/7*n**4 + 0 + 0*n.
-2*n**2*(n - 1)*(n + 2)**2/7
Let k = 5998 - 89968/15. Factor 128/15*c + 32/5*c**2 + k*c**4 + 0 + 8/5*c**3.
2*c*(c + 4)**3/15
Suppose 3*s - 123 - 67 = -2*u, 5*s + 4*u - 316 = 0. Let o = 66 - s. Let 0 + 2/7*k**4 - 2/7*k**o + 0*k + 0*k**3 = 0. Calculate k.
-1, 0, 1
Let i(g) = g**4 + g**3 - g**2 - g - 1. Let n = 23 + -20. Let a(y) = -35*y**5 + 63*y**4 - 12*y**3 - 13*y**2 - 3*y - 3. Let z(f) = n*i(f) - a(f). Factor z(h).
5*h**2*(h - 1)**2*(7*h + 2)
Let w be 9/18 - ((-188)/40 + 4). Suppose 2/5 - w*d**2 + 4/5*d = 0. What is d?
-1/3, 1
Let t(h) = 7*h**3 + 366*h**2 + 43920*h + 1771561. Let k(j) = 2*j**3 + j**2 - j. Let s(y) = -3*k(y) + t(y). Find i such that s(i) = 0.
-121
Let f = 11208/7 - 1601. Factor 22/7*a**2 + 9/7 + 8/7*a**3 + f*a**4 + 24/7*a.
(a + 1)**2*(a + 3)**2/7
Let v be 4 + (-3)/9*3. Factor -l - 5*l**2 + v*l**4 + 8*l - l - 4*l**2.
3*l*(l - 1)**2*(l + 2)
Factor 0*t**2 + 3/2*t**5 + 0 + 0*t - 9/2*t**4 + 3*t**3.
3*t**3*(t - 2)*(t - 1)/2
Factor 17*n**2 - 60*n + 47*n**2 + 5*n**3 - 9*n**2.
5*n*(n - 1)*(n + 12)
Let m(v) be the second derivative of -3*v**5/10 + 23*v**4/3 - 160*v**3/3 - 128*v**2 + 118*v. Let m(j) = 0. Calculate j.
-2/3, 8
Let b = -267 + 267. Factor -1/2*d**3 - 5/4*d**5 + 7/4*d**4 + b*d**2 + 0 + 0*d.
-d**3*(d - 1)*(5*d - 2)/4
Suppose 0 = p + 3*d - 3 - 11, 10 = -p + 3*d. Let w(a) be the second derivative of 0*a**3 + 0*a**p - 1/6*a**6 + a + 5/12*a**4 + 0*a**5 + 0. Factor w(y).
-5*y**2*(y - 1)*(y + 1)
Let q(t) be the first derivative of 21*t**4/8 + 25*t**3/2 + 27*t**2/4 - 27*t/2 + 75. Let q(g) = 0. What is g?
-3, -1, 3/7
Let j = -46 + 48. Factor 10 + 25*i - 3*i**j - 49*i**3 - 65*i**3 + 89*i**3 - 7*i**2.
-5*(i - 1)*(i + 1)*(5*i + 2)
Suppose -97 - 53 = 3*l. Let z be (-3)/(-15)*l/(-12). Factor -1/3*p + 0 - 2/3*p**3 - z*p**2 - 1/6*p**4.
-p*(p + 1)**2*(p + 2)/6
Let i(m) be the second derivative of -m**6/105 - 9*m**5/70 + m**4/42 + 3*m**3/7 - 179*m. Determine o, given that i(o) = 0.
-9, -1, 0, 1
Suppose -12 - 8 = -10*a. Let k(m) be the third derivative of 0 + 0*m - 1/270*m**5 + 1/9*m**3 - 3*m**a + 1/54*m**4. Factor k(o).
-2*(o - 3)*(o + 1)/9
Let t(s) be the first derivative of -s**6/60 + s**5/30 - 3*s**3 - 9. Let w(n) be the third derivative of t(n). Factor w(c).
-2*c*(3*c - 2)
Let i(n) be the second derivative of -n**6/15 + 3*n**5/5 + 7*n**4/6 - 58*n - 2. Factor i(h).
-2*h**2*(h - 7)*(h + 1)
Factor -256 - 1/2*p**3 - 96*p + 15*p**2.
-(p - 16)**2*(p + 2)/2
Suppose 0 = 3*o + 15*o - 54. Let i(l) be the first derivative of o + 0*l + 1/2*l**2 - 1/3*l**3. Let i(v) = 0. Calculate v.
0, 1
Factor 16/5*z - 2*z**2 + 8/5.
-2*(z - 2)*(5*z + 2)/5
Let n = -60409 - -60411. Factor -2/5*f**n - 1/5*f**3 + 0 + 0*f.
-f**2*(f + 2)/5
Let o = 2420 + -2416. What is y in -20/3*y + 0 - 35*y**3 - 245/3*y**o + 40*y**2 = 0?
-1, 0, 2/7
Let r be 2/(-11) + (-234)/(-1287). Let t(v) be the first derivative of r*v**2 + 6 - 12*v + 3*v**3 - 3/4*v**4. Let t(u) = 0. Calculate u.
-1, 2
Let u(q) be the second derivative of -q**6/90 + 19*q**5/30 + 10*q**4/3 + 61*q**3/9 + 41*q**2/6 + 490*q. Let u(l) = 0. Calculate l.
-1, 41
Let l(h) be the second derivative of 4*h**2 + 1/6*h**4 + 4/3*h**3 + 7*h + 0. Find y, given that l(y) = 0.
-2
Suppose 0 = -2*f - f + c, 2*f = 2*c. Suppose f = 12*g - 0*g - 24. Factor 2/3*p**g + 4/3*p + 2/3.
2*(p + 1)**2/3
Suppose 55*h - 24*h = -48*h + 158. Suppose 5/2*g**3 + 2 + 1/2*g**4 - 2*g - 1/2*g**5 - 5/2*g**h = 0. Calculate g.
-2, -1, 1, 2
Suppose -s + u = -7, -4*s + 56 = 74*u - 85*u. What is g in -2*g**4 + 0 + 3/4*g - 19/4*g**2 + 15/2*g**s = 0?
0, 1/4, 1/2, 3
Let z(u) be the third derivative of u**7/1155 + u**6/330 - u**4/66 - u**3/33 - 81*u**2. Factor z(b).
2*(b - 1)*(b + 1)**3/11
Let t(z) = z**3 - 12*z**2 - 14*z + 15. Let s be t(13). Suppose -53*i**5 + i**4 - 2 - 5*i**3 - 5*i**s + 6*i**4 + 7*i + 51*i**5 = 0. What is i?
-1, 1/2, 1, 2
Let a(w) = 11*w**3 + 2*w**2 + 7*w + 4. Let r(t) = -9*t**3 - 2*t**2 - 6*t - 3. Let v(k) = 5*a(k) + 6*r(k). Factor v(n).
(n - 2)*(n - 1)*(n + 1)
Let u(s) be the third derivative of -s**6/120 - s**5/10 - 5*s**4/24 + 2*s**3 - 194*s**2. Solve u(o) = 0 for o.
-4, -3, 1
Suppose 6*r = 3*r - 3. Let a be (-15)/18*r*4/10. Factor 2/3 - j + a*j**2.
(j - 2)*(j - 1)/3
Suppose -2*d - 5*j + 11 = 0, 0 = 2*d + d - j - 8. Factor 3*m**2 + 1 - d - m**4 + 23*m - 22*m - m**3.
-(m - 1)**2*(m + 1)*(m + 2)
Let n = -1656 + 11593/7. Factor -2/7 - n*w + 1/7*w**2.
(w - 2)*(w + 1)/7
Let s(m) be the third derivative of -m**9/60480 + m**8/1680 - m**7/140 + 19*m**5/60 - 26*m**2. Let u(x) be the third derivative of s(x). Factor u(i).
-i*(i - 6)**2
Suppose 4*s + 5*f = 0, 0*s = -s + 5*f. What is b in -8*b**2 + s*b**2 - 40 + 30*b + 3*b**2 = 0?
2, 4
Suppose -145*m + 192*m = 94. Solve 0 - 10/3*c**m + 1/3*c**3 + 25/3*c = 0 for c.
0, 5
Let w(a) be the third derivative of a**5/60 + 47*a**4/144 - 7*a**3/4 + 126*a**2 - 3. Find u, given that w(u) = 0.
-9, 7/6
Factor -308 - 5*m**2 + 269 - 566 - 110*m.
-5*(m + 11)**2
Let v(t) be the third derivative of t**6/60 - t**5/60 - t**4/24 - t**3/2 + 5*t**2. Let x be v(2). Find d such that 21*d**2 - d - x*d - 4*d + 6*d = 0.
0, 2/7
Let r = -1125 + 1129. Suppose -32/5*j**3 + 0 - 2/5*j**5