0 = -3*u + 9, 4*z - 4*u = 28. Factor -14 - 23 - 124*o + z*o**3 - 8*o**2 + 40*o - 35.
4*(o - 6)*(o + 1)*(o + 3)
Solve -14/5*i**5 + 212/5 + 128*i - 781/5*i**4 - 889/5*i**2 - 2084/5*i**3 = 0.
-53, -2, -1, -2/7, 1/2
Let w(z) = -285*z + 27363. Let y be w(96). Factor 0*c**2 + 8/3*c + 2/3*c**4 + 0 - 2*c**y.
2*c*(c - 2)**2*(c + 1)/3
Let g = -50 + 50. Suppose -2*x + 3*s + g = 2, 0 = -x - 5*s + 12. Suppose 5*z**3 - 11*z - 12*z**2 + 23*z - x*z**3 = 0. What is z?
0, 2
Let m(k) be the second derivative of -150*k + 0*k**3 + 3/20*k**5 + 0 + 6*k**2 - 3/4*k**4. Factor m(j).
3*(j - 2)**2*(j + 1)
Let w(u) be the third derivative of u**8/168 - 13*u**7/15 - 25*u**6/4 - 473*u**5/30 - 95*u**4/6 - 2*u**2 - 931*u. Solve w(s) = 0.
-2, -1, 0, 95
Suppose 4*r = -16, -3*r = n + 17 - 4. Let o be (3 - n - 7)*-10. Factor o*x**2 - 82*x - 3*x**2 + 154*x + 3*x**3 + 48.
3*(x + 1)*(x + 4)**2
Let o(c) be the third derivative of 0 + 93*c**2 - 5/4*c**5 - 15625/6*c**3 + 0*c + 625/8*c**4 + 1/120*c**6. Determine b, given that o(b) = 0.
25
Factor 115*v - 8*v + 17*v**3 + 72*v**2 + 66 - 14*v**3 + 28*v.
3*(v + 1)**2*(v + 22)
Suppose -7*x + 12*x + 4 = 7*x. Let o(z) be the second derivative of -1/3*z**4 - 22*z - 2/3*z**3 + 0 + 0*z**x. Suppose o(p) = 0. Calculate p.
-1, 0
Suppose -6*p = -334*q + 333*q + 38, -q - 2*p = 10. Factor 0 + 0*u + 6*u**4 + 6*u**3 + 3/2*u**5 + 0*u**q.
3*u**3*(u + 2)**2/2
Let g = 36211/5580 + -201/31. Let f(y) be the third derivative of 1/3*y**3 + 0*y + 5/72*y**4 + 0 - g*y**5 + 22*y**2. Factor f(w).
-(w - 6)*(w + 1)/3
Suppose -4*m = -4 + 8, 0 = -4*o + m + 21. Let i(f) be the third derivative of 1/40*f**6 + 0*f**3 - 1/4*f**4 - 4*f**2 + 0 - 1/20*f**o + 0*f. Factor i(j).
3*j*(j - 2)*(j + 1)
Suppose 17*m + 42 + 60 = 0. Let a be (1 + -25)/(-3) - (10 + m). Determine g so that 3/5*g**3 - 12/5*g**a + 3/5*g**5 + 24/5 - 12*g + 42/5*g**2 = 0.
-2, 1, 2
Let g = 1004 - 1018. Let l be (-3)/g - ((-24)/21)/4. Find y, given that l*y + 1/6*y**2 - 2/3 = 0.
-4, 1
Suppose 4*q = -5 - 3, -5*a + 3*q = 14. Let o(p) = 25*p**2 + 89*p + 22. Let r(d) = d - 2. Let w(z) = a*r(z) + o(z). Solve w(j) = 0 for j.
-3, -2/5
Let t(d) be the first derivative of -12*d - 27 + 3/20*d**5 - 3*d**3 - 21/2*d**2 + 3/16*d**4. Factor t(h).
3*(h - 4)*(h + 1)*(h + 2)**2/4
Let w(g) = -93*g**2 - 2183*g - 154. Let o(k) = -46*k**2 - 1092*k - 80. Let t(z) = -9*o(z) + 4*w(z). Find c such that t(c) = 0.
-26, -2/21
Let x = 15/4042 - -528613/784148. Let n = x - -7/97. Factor 1 - n*a**2 + 11/4*a.
-(a - 4)*(3*a + 1)/4
Let x(i) = i**2 - 16*i + 57. Let m be x(5). What is w in -8*w**3 + 16*w**2 + m*w**4 - 19*w**3 + 41*w**3 - 32*w = 0?
-4, 0, 1
Let k(c) be the first derivative of 2/39*c**3 - 1/13*c**2 - 2/65*c**5 + 1/26*c**4 + 0*c + 20. Let k(l) = 0. Calculate l.
-1, 0, 1
Let g(d) be the third derivative of 0 + 0*d + 129*d**2 + 1/6*d**4 + 7/10*d**3 - 1/300*d**5. Suppose g(v) = 0. Calculate v.
-1, 21
Suppose 5268*y - 7710 - 2826 = 0. Let -b + 1/5*b**4 - 2/5 - 3/5*b**y + 1/5*b**3 = 0. What is b?
-1, 2
Solve -500/3*m - 4*m**3 + 2/15*m**4 + 40*m**2 + 250 = 0 for m.
5, 15
Suppose -6 = 2*c - 4*g, -2*c + 6*g = 3*g + 2. Suppose 2*s - 5 = -283*y + 284*y, 2*y = c*s - 10. Factor -3/2*j**3 - 24 + s*j**2 + 18*j.
-3*(j - 2)**2*(j + 4)/2
Let z = 257/10 + -88/5. Let s(b) be the second derivative of 0 + 4*b - 33/10*b**3 + z*b**2 + 19/60*b**4 - 1/100*b**5. Solve s(h) = 0 for h.
1, 9
Let q be (-50)/(-2275)*78 + 6. Determine i so that 324/7*i**4 + q*i**5 + 82/7*i + 72*i**3 + 8/7 + 44*i**2 = 0.
-4, -1, -1/3
Let x(r) be the second derivative of 18/17*r**2 - 1/102*r**4 + 7/51*r**3 + 1 - 64*r. Find g such that x(g) = 0.
-2, 9
Let s(l) be the third derivative of -l**8/560 + 23*l**7/350 - 139*l**6/200 - 27*l**5/20 + 243*l**4/5 + 1458*l**3/5 - 118*l**2. Factor s(f).
-3*(f - 9)**3*(f + 2)**2/5
Let i(q) = q**3 - 67*q**2 + 51*q + 5. Let g(l) = -4*l**3 + 336*l**2 - 260*l - 24. Let u(h) = -5*g(h) - 24*i(h). Factor u(w).
-4*w*(w - 1)*(w + 19)
Let p(g) be the first derivative of 0*g + 5*g**2 + 25/3*g**3 + 4*g**5 - 55/4*g**4 - 1. Determine r, given that p(r) = 0.
-1/4, 0, 1, 2
Determine w so that -117/2 + 111/4*w + 3/4*w**2 = 0.
-39, 2
Let d = -3667 - -3681. Let k(m) be the second derivative of -9/4*m**2 + d*m - 1/2*m**3 + 0 - 1/24*m**4. Factor k(p).
-(p + 3)**2/2
Suppose 0 = -4*a + 5*d + 123, 0 = -4*a + 5*a + 3*d - 35. Suppose -a = 2*r - 4*r. Solve -3*k**2 - 383*k - 176 + 335*k - r = 0 for k.
-8
Let o(b) be the third derivative of -b**6/900 + 58*b**5/225 - 23*b**4/36 + 2405*b**2. Find f such that o(f) = 0.
0, 1, 115
Suppose 0 = 21*s - 479 - 277. Let a be s/42 - 16/(-14). Suppose -8/15*o - 2/15*o**a + 0 = 0. What is o?
-4, 0
Factor -24 + 6*h - 1/3*h**2.
-(h - 12)*(h - 6)/3
Let r(a) = a**3 + 91*a**2 + 909*a + 2322. Let p be r(-80). Find u such that -405/7*u**p - 57/7*u**3 - 3/7*u**4 - 1500/7 - 1275/7*u = 0.
-5, -4
Let p(k) be the third derivative of 529*k**5/30 + 322*k**4/3 + 784*k**3/3 - 1606*k**2. Factor p(v).
2*(23*v + 28)**2
Let u(x) be the first derivative of x**3/3 + x**2/2 - 2*x + 769. Let u(y) = 0. Calculate y.
-2, 1
Suppose -81 = 37*z - 40*z. Factor -524 + z*m - 177*m + 552 + m**2 - 1903 - 4*m**2.
-3*(m + 25)**2
Let n = 206893/827476 + -6/206869. Determine g so that 0*g + 0 - 1/4*g**3 + 0*g**2 + n*g**4 = 0.
0, 1
Let k(h) be the third derivative of -h**6/30 + 74*h**5/5 - 147*h**4/2 + 440*h**3/3 - 17*h**2 + 27. Factor k(m).
-4*(m - 220)*(m - 1)**2
Suppose 0 = i + 4398 - 4400. Suppose -5/3*b**i + 5/3*b**3 + 5/6*b**4 - 5/6*b**5 + 5/6 - 5/6*b = 0. Calculate b.
-1, 1
Let o be (-1 - (2 + 4)) + (54 - 26 - 21). Let q(v) be the third derivative of 1/80*v**5 + v**3 - 3/16*v**4 + 0*v + o + 16*v**2. Solve q(c) = 0.
2, 4
Let p(x) = -41*x + 424. Let j be p(8). Let l be (j/50 + -2)*110/(-22). Let -6/5*s**2 - 2/5*s + l*s**3 + 6/5 = 0. What is s?
-1, 1, 3
Suppose -7*y = -k - 80 + 27, -2 = 2*k - y. Let f(p) be the second derivative of 0*p**k + 0 + 33*p - 1/10*p**6 + 7/6*p**4 + 0*p**2 + 19/20*p**5. Factor f(v).
-v**2*(v - 7)*(3*v + 2)
Suppose 262/3 - 87*y - 1/3*y**2 = 0. What is y?
-262, 1
Let o(v) be the second derivative of -v**6/20 - 6*v**5/5 + 37*v**4 + 720*v**3 - 24300*v**2 + 112*v. Suppose o(a) = 0. What is a?
-18, 10
Let s(a) = -5*a**2 + 38*a - 21. Let j be s(7). Suppose j = 315*l - 323*l + 16. Solve 0 + 1/7*n**5 + 1/7*n**3 - 2/7*n - 3/7*n**l + 3/7*n**4 = 0 for n.
-2, -1, 0, 1
Let k(l) be the third derivative of -l**7/2520 - l**6/1080 + l**5/180 + 79*l**3/6 + 66*l**2. Let q(i) be the first derivative of k(i). Factor q(v).
-v*(v - 1)*(v + 2)/3
Let q(r) be the second derivative of -9/20*r**5 - 1/5*r**6 - 25*r + 2 + 0*r**2 + 2*r**3 + 1/14*r**7 + r**4. Solve q(h) = 0 for h.
-1, 0, 2
Let j(r) be the third derivative of -r**8/2016 + 13*r**7/252 - 469*r**6/240 + 1127*r**5/40 + 565*r**2 + 3*r. Suppose j(o) = 0. What is o?
0, 21, 23
Factor 250 + 5/2*s**3 - 10*s**2 - 125/2*s.
5*(s - 5)*(s - 4)*(s + 5)/2
Let l(d) be the first derivative of -d**4/4 - 5*d**3/3 + 3*d + 9. Let f be l(0). Suppose 0*o**f + 10 - 5*o**2 - 88*o + 73*o - 5*o**4 + 15*o**3 = 0. Calculate o.
-1, 1, 2
Let l(o) be the second derivative of -o**8/42 - o**7/105 + o**6/15 + o**5/30 + 116*o**2 + 25*o. Let p(f) be the first derivative of l(f). Solve p(s) = 0 for s.
-1, -1/4, 0, 1
Let t(s) be the second derivative of s**4/28 + 346*s**3/7 + 179574*s**2/7 - 4*s + 15. Factor t(l).
3*(l + 346)**2/7
Let l(i) = -2*i**2 - 147*i. Let x be l(0). Let m(j) be the second derivative of -8*j + 0*j**2 + 0 + x*j**3 - 1/3*j**4 - 1/10*j**5. Factor m(b).
-2*b**2*(b + 2)
Let i(k) be the first derivative of -63/2*k**2 + 73 + 5*k**3 + 49*k - 1/4*k**4. Factor i(t).
-(t - 7)**2*(t - 1)
Let q(a) = a**2 + 2*a - 3. Suppose 13 - 5 = 4*i. Let j(v) = -7*v**i + 9*v**2 + 16*v - 5 - 12*v. Let c(l) = -3*j(l) + 5*q(l). Solve c(d) = 0.
-2, 0
Let i = 5943 + -5941. Let d(z) be the first derivative of i*z**2 - 2/15*z**3 - 38 + 22/5*z. Let d(m) = 0. Calculate m.
-1, 11
Let g(l) = -2*l**3 + 38*l**2 - 35*l - 14. Suppose -636 = -79*m + 786. Let a be g(m). Factor 1/3*f**a - f**3 + f**2 + 0 - 1/3*f.
f*(f - 1)**3/3
Let u(a) = -3*a**2 - 11305*a - 10659790. Let w(h) = 3*h**2 + 11304*h + 10659813. Let m(y) = 6*u(y) + 5*w(y). Factor m(z).
-3*(z + 1885)**2
Factor -v + 1/4*v**3 + 0 + 3/4*v**2.
v*(v - 1)*(v + 4)/4
Let i(n) be the second derivative of n**7/28 - 29*n**6/60 +