0 + 2/3*u**5 = 0.
-2, -1, 0
Let r(b) be the second derivative of -b**6/105 + 3*b**5/70 + b**4/42 - b**3/7 - 289*b - 1. Solve r(q) = 0 for q.
-1, 0, 1, 3
Let w = 42323 - 211613/5. Factor 282/5*d**2 + w*d**4 - 88*d + 40 - 44/5*d**3.
2*(d - 10)**2*(d - 1)**2/5
Let v be 1/2 - (-31)/2. Suppose -5 = -3*x - 2*h, -4*x + 3*h + 51 = v. Factor -6 - 4 + 8 - 3*z**2 + x*z.
-(z - 1)*(3*z - 2)
Let f(d) be the second derivative of 4/45*d**6 + 0*d**3 + 7/60*d**5 + 1/42*d**7 + 0 + 0*d**2 + 12*d + 1/18*d**4. Factor f(g).
g**2*(g + 1)**2*(3*g + 2)/3
Factor 37*d**4 - 4*d**5 - 4*d**3 - 4*d**5 + 2*d**5 - 47*d**4.
-2*d**3*(d + 1)*(3*d + 2)
Let g(i) = -i**3 - 3*i**2 + 5*i + 7. Let m be g(-4). Suppose 3*u = 4*j + j + 23, -m*u + j = -19. Suppose -u*o + 10*o + 0*o + 4*o**2 = 0. Calculate o.
-1, 0
Factor 24*r**3 + 72*r**2 - 4*r**2 - 16*r + 24*r**2.
4*r*(r + 4)*(6*r - 1)
Suppose -7*a = -6*a - 18. Suppose a*h - 15*h = 6. Solve -4/7*v + 2/7*v**h - 6/7 = 0.
-1, 3
Factor -5/2 - 1/2*f**2 + 3*f.
-(f - 5)*(f - 1)/2
Let f = -28/75 + 26/25. Let y(s) be the second derivative of 0*s**2 - 5/6*s**4 + f*s**3 + 1/3*s**6 - s + 0 - 9/10*s**5 + 1/3*s**7. Suppose y(g) = 0. What is g?
-1, 0, 2/7, 1
Let x = 11 - 8. Let v = x + -3. Factor v*q + 6*q - 3*q - 2*q - q**2.
-q*(q - 1)
Suppose -3*v - 3*b = -14 - 1, 3*v = -b + 13. Let w(z) be the third derivative of 0*z + 0*z**v - 2*z**2 + 1/30*z**5 + 0 - 1/3*z**3. Find n, given that w(n) = 0.
-1, 1
Let k = -59317/8 - -7426. Let f = k - 613/56. Solve 3/7*y - f*y**2 + 3/7 - 3/7*y**3 = 0.
-1, 1
Let h be -1 + (-3 - -4) - (50 + -1). Let t be (4/(-7))/(126/h). Determine u, given that -4/9*u**2 - 2/9*u**3 - t*u + 0 = 0.
-1, 0
Let o(u) be the third derivative of -u**8/112 + 11*u**7/70 - 27*u**6/40 + 5*u**5/4 - u**4 + 57*u**2 - 1. Factor o(m).
-3*m*(m - 8)*(m - 1)**3
Determine c, given that 32*c**2 + 80*c - 1/2*c**4 + c**3 + 0 = 0.
-4, 0, 10
Let i(x) = 16*x**2 + 36*x - 6. Let l(p) = -p**2 - p + 1. Let f(q) = -i(q) - 12*l(q). Let h(b) = -b**2 - 5*b - 1. Let y(g) = -6*f(g) + 28*h(g). Factor y(s).
-4*(s - 2)*(s + 1)
Let i(s) be the second derivative of 1/10*s**5 + 0*s**2 - 19*s + 2/15*s**3 - 1/15*s**7 + 0 - 3/25*s**6 + 3/10*s**4. Determine y, given that i(y) = 0.
-1, -2/7, 0, 1
Let x(a) be the third derivative of 13/40*a**5 + 0 + 1/20*a**6 + 3/16*a**4 + 2*a**2 + 0*a + 0*a**3. Factor x(o).
3*o*(o + 3)*(4*o + 1)/2
Let g(m) be the second derivative of m**4/30 - 46*m**3/15 + 529*m**2/5 - 2*m - 4. Suppose g(h) = 0. Calculate h.
23
Let y(k) = 102*k**2 + 351*k - 180. Let s(m) = -10*m**2 - 35*m + 18. Let p(t) = -21*s(t) - 2*y(t). Factor p(f).
3*(f + 6)*(2*f - 1)
Factor 5*t**3 - 31*t + 78*t - 144*t - 278*t - 180*t**2 - 190.
5*(t - 38)*(t + 1)**2
Suppose 0 = w - 11 + 10. Find t such that 175*t**4 - 2*t**2 + 171*t**4 + w - 345*t**4 = 0.
-1, 1
Let u(m) be the first derivative of 3*m**6/8 + 5*m**5/4 - 51*m**4/4 - 43*m**3/3 + 6*m**2 - 114. Solve u(q) = 0.
-6, -1, 0, 2/9, 4
Let x be (-13 + 204/15)/(2/2). Factor 12/5*w + x*w**2 + 9/5.
3*(w + 1)*(w + 3)/5
Let o(g) = -17*g**4 - 123*g**3 - 234*g**2 - 128*g + 24. Let d(b) = b**4 + b. Let l(k) = 4*d(k) - o(k). Factor l(t).
3*(t + 2)**3*(7*t - 1)
Let g(s) = 2*s**2 - s - 16. Let b be g(-3). Factor -12*i**2 + 18*i + 21*i**3 + i - b*i**3 - 55*i - 8.
4*(i - 2)*(i + 1)*(4*i + 1)
Let m(w) = -w**3 - w**2 - w - 1. Let q(a) = -8*a**3 - 16*a**2 - 26*a - 18. Let l(c) = 36*m(c) - 4*q(c). Determine d, given that l(d) = 0.
-1, 9
Let n(v) be the second derivative of -5*v + 0*v**3 + 1/22*v**4 + 1/231*v**7 - 1/110*v**5 - 1/55*v**6 + 0*v**2 + 0. Let n(s) = 0. Calculate s.
-1, 0, 1, 3
Determine r, given that 7*r**2 - 5 - 3*r**2 - 20*r**2 - 25*r - 14*r**2 = 0.
-1/2, -1/3
Suppose -3*r - 2*a = -19, 3*r + 1 = 2*a - 0. Let g be r/(45/10 + -3). Solve 7/4*p**5 + 0 + 0*p + 1/2*p**4 - 1/2*p**g - 7/4*p**3 = 0.
-1, -2/7, 0, 1
Suppose -9*o - 14 - 13 = -54. Factor o - 2/3*g**2 + 1/3*g**4 + 4*g - 4/3*g**3.
(g - 3)**2*(g + 1)**2/3
Let v(i) be the second derivative of i**5/5 - 7*i**4/3 + 28*i**3/3 - 16*i**2 - i. Let v(d) = 0. Calculate d.
1, 2, 4
What is p in -656/5*p + 88 - 6/5*p**2 = 0?
-110, 2/3
Solve -6 + 37*u**4 + u**3 - u - 38*u**4 + 21*u**2 + 0 - 14*u**2 = 0 for u.
-2, -1, 1, 3
Let o(y) be the third derivative of y**8/6720 - y**6/240 - 7*y**5/30 - 20*y**2. Let c(q) be the third derivative of o(q). Determine s so that c(s) = 0.
-1, 1
Let w(x) = 0*x**3 + 197*x**4 + 1 - x**3 - 198*x**4. Let c(g) = -2*g**3 + 2. Let k(m) = c(m) - 2*w(m). Factor k(h).
2*h**4
Let i = -56491 + 169487/3. Determine d, given that -i*d + 0*d**2 + 2/3*d**3 + 4 = 0.
-3, 1, 2
Suppose -6*f + 7*f = 4. Factor -f*q**3 + 2*q**5 + 2*q**4 - 7*q**4 + 3*q**4.
2*q**3*(q - 2)*(q + 1)
Let p be 170/3825 + 2/9. Solve -p*g**2 + 0*g**3 + 4/15*g**4 + 0 + 2/15*g**5 - 2/15*g = 0 for g.
-1, 0, 1
Factor -35*l**3 + 15*l**2 + 16*l**3 + l + 22*l**3 + 8*l - 3*l**4.
-3*l*(l - 3)*(l + 1)**2
Let z be ((-8)/(-22))/((-1570)/(-12089)). Factor 4/5 + 18/5*g + z*g**2.
2*(g + 1)*(7*g + 2)/5
Suppose -5*i + 6 = -4. Suppose -i*j = 5*f + 8, f + 4*j + 20 = -j. Solve 1/2*l**3 + 0*l - 1/2*l**4 + 0*l**2 + f = 0.
0, 1
Let f be 212/689 - (274/130 + -2). Determine n so that -3/5*n**2 - n**3 + 4/5 + n - f*n**4 = 0.
-4, -1, 1
Determine x so that x**2 + 14/3*x + 8/3 = 0.
-4, -2/3
Let d(t) be the second derivative of 2*t**6/105 + 3*t**5/35 - 2*t**4/7 - 8*t**3/3 - 48*t**2/7 + 27*t + 1. Factor d(f).
4*(f - 3)*(f + 2)**3/7
Let h(g) be the second derivative of -g**9/12096 - g**8/1344 - g**7/420 - g**6/360 - 25*g**3/6 + 26*g. Let j(d) be the second derivative of h(d). Factor j(y).
-y**2*(y + 1)*(y + 2)**2/4
Let y = 131 - 132. Let v(o) = o**2 + 2. Let t(a) = -28*a**2 + 12*a - 48. Let u(b) = y*t(b) - 24*v(b). Find n, given that u(n) = 0.
0, 3
Let x(n) be the first derivative of -n**8/7560 - n**7/3780 + n**6/1620 + n**5/540 - 8*n**3/3 + 32. Let b(h) be the third derivative of x(h). Factor b(s).
-2*s*(s - 1)*(s + 1)**2/9
Let p be (2/(3/3))/1. Factor -20*w**3 + 3*w - 10*w - 3*w + 5*w**4 + 51*w**2 - 26*w**p.
5*w*(w - 2)*(w - 1)**2
Let v(m) = -3*m**2 - m + 4. Let g be v(1). Let z(k) be the third derivative of 1/120*k**5 + 6*k**2 + g + 0*k + 0*k**3 + 1/96*k**6 + 0*k**4. Factor z(p).
p**2*(5*p + 2)/4
Let u be ((-10)/4)/((-4)/8). Suppose 5 - u = z. Determine c, given that 1/4*c**2 + 0 - 7/4*c**4 - 1/2*c**3 + z*c - c**5 = 0.
-1, 0, 1/4
Let u(i) be the first derivative of 3/4*i**2 - 9/10*i**5 - 7/2*i**3 + 25/8*i**4 + i - 15. Solve u(o) = 0 for o.
-2/9, 1
Suppose 192 + 135*p**3 - 240*p + 0*p**4 - 81/4*p**5 - 60*p**2 = 0. What is p?
-2, 4/3
Suppose 4*v = -5*z + 40, -6*z + 3*z + 7 = -v. Factor -14/5*s**3 + 2*s**z + 0*s + 6/5*s**2 - 2/5*s**5 + 0.
-2*s**2*(s - 3)*(s - 1)**2/5
Let d be 14/35 + (-36)/(-10). Solve -17*u**d + 30*u**3 + 26*u**4 + 12*u**2 - 6*u**3 = 0 for u.
-2, -2/3, 0
Let h = -330 - -333. Let n(l) be the first derivative of -2/21*l**h + 6 + 0*l - 2/7*l**2. Factor n(f).
-2*f*(f + 2)/7
Let o = -54 - -50. Let f be (-2 + 2)/(o - -3). Suppose f*y + 0 - 2/3*y**3 + 4/3*y**4 - 2/3*y**5 + 0*y**2 = 0. What is y?
0, 1
Let v = 271/66 - -112/33. Find b such that 1/2*b + 1 - v*b**2 = 0.
-1/3, 2/5
Let o = -36 - -39. Suppose -o*i = -5*i. Factor -1/5*v**4 + i*v - 1/5*v**5 + 1/5*v**2 + 1/5*v**3 + 0.
-v**2*(v - 1)*(v + 1)**2/5
Suppose -8*x**2 + 12*x**2 - 2*x - 5*x**3 - 9*x**2 + 2*x**3 = 0. What is x?
-1, -2/3, 0
Let z(n) be the second derivative of -2/21*n**3 + 0 + 16*n + 0*n**2 + 1/42*n**4. Solve z(x) = 0 for x.
0, 2
Let l(x) = -3*x - 51. Let b be l(-17). Let v(r) be the second derivative of -4*r + 0*r**3 + 1/120*r**6 + 0*r**2 + b + 1/48*r**4 + 1/40*r**5. Factor v(h).
h**2*(h + 1)**2/4
Let s be (3/(-2))/((-10)/((-400)/(-12))). Let o(r) = -2*r**4 - 2*r**3 - 6. Let j(c) = c**4 + 3*c**3 + 5. Let w(y) = s*o(y) + 6*j(y). Let w(l) = 0. Calculate l.
0, 2
Let l be 20/1*(-66)/(-44). Solve -2*g**2 + 22*g + 0*g**2 - l*g + 8*g**3 - 2*g**2 + 4*g**4 = 0 for g.
-2, -1, 0, 1
Let o be 5*4/100 + (-4)/30. Let c(a) be the second derivative of -1/3*a**2 + 3*a + 2/9*a**3 - 1/15*a**5 + 0 - o*a**6 + 2/9*a**4. What is k in c(k) = 0?
-1, 1/3, 1
Let z(i) be the second derivative of -i**7/11340 + i**5/540 + 10*i**4/3 + 32*i. Let q(c) be the third derivative of z(c). Factor q(l).
-2*(l - 1)*(l + 1)/9
Let u be 7 + 160/24 + -13. Factor 10/9*j - 4/9 - u*j**2.
-2*(j - 1)*(3*j - 2)/9
Let w = -7/793