42 + 273*r. Factor i(t).
-2*t**2*(t - 17)/7
Suppose 3*h = -3*p + 2*p + 19, -h - 3*p + 25 = 0. Find x, given that 0 + 4/11*x - 10/11*x**3 + 2/11*x**2 + 4/11*x**h = 0.
-1/2, 0, 1, 2
Let x(c) be the second derivative of 7/6*c**4 - 40/9*c**3 + 0 - 1/9*c**6 + 44*c + 2/5*c**5 + 4*c**2. Solve x(w) = 0.
-2, 2/5, 1, 3
Let y(n) be the second derivative of 5/3*n**3 + 6*n**2 + 0 - 1/6*n**4 + 25*n. Determine s so that y(s) = 0.
-1, 6
Let p(r) be the second derivative of -r**8/1344 + r**7/210 - r**6/96 + r**5/120 - 7*r**2/2 + 4*r. Let b(z) be the first derivative of p(z). Factor b(q).
-q**2*(q - 2)*(q - 1)**2/4
Let t = -888 + 893. Let w(h) be the second derivative of -1/15*h**3 - t*h - 1/60*h**4 + 0 - 1/10*h**2. Determine o, given that w(o) = 0.
-1
Let t(k) = 2*k**3 + k**2 + k + 1. Let s(d) = 7*d**3 + 106*d**2 - 579*d + 816. Let z(u) = -s(u) + 6*t(u). What is i in z(i) = 0?
2, 9
Let -44/7*z + 270/7*z**4 + 110/7*z**2 - 16/7 + 408/7*z**3 = 0. Calculate z.
-1, -4/9, -2/5, 1/3
Let f be 2/(-2) + (0 - -5). Suppose 2*c = -c - 4*k + 14, f*k - 18 = -5*c. Find m such that m**4 + 0*m**c + 0*m**2 - m**3 + m**4 - m**5 = 0.
0, 1
Let w(z) be the second derivative of -z**6/50 - 21*z**5/100 - 11*z**4/20 - z**3/2 - z - 71. Factor w(p).
-3*p*(p + 1)**2*(p + 5)/5
Let t be (-31)/(-11) - 10/(-55). Factor 2*q**2 - 29*q + 2*q**t + 29*q.
2*q**2*(q + 1)
Let o(y) = 5*y**2 - 2*y. Suppose u + 4 = 5*u - 2*k, 0 = -4*u + 3*k + 2. Let g be o(u). Factor -2*v**3 + 16 - g + 4*v**2.
-2*v**2*(v - 2)
Let x(f) = 9*f**2 + 3*f - 9. Suppose b + 2*p - 5*p = 12, 0 = -b - 4*p + 5. Let u(g) = 5*g**2 + g - 4. Let d(k) = b*u(k) - 4*x(k). Factor d(w).
3*w*(3*w - 1)
Let h(v) = -3*v**2 + 53*v - 36. Let o(k) = 12*k**2 - 264*k + 180. Let j(w) = -14*h(w) - 3*o(w). Suppose j(z) = 0. Calculate z.
-9, 2/3
Let b be (168/210)/(60/25). Solve -14/3*h - 49/3 - b*h**2 = 0.
-7
Let q = 5 - 3. Let b(s) = -90*s**2 + 12*s + 27. Let m(y) = -7*y**2 + y + 2. Let o(v) = q*b(v) - 27*m(v). Factor o(u).
3*u*(3*u - 1)
Suppose 2*a - 11*n = -6*n + 26, -4*n - 28 = -4*a. Let w(q) be the first derivative of 18/5*q + 6/5*q**2 + a + 2/15*q**3. Factor w(g).
2*(g + 3)**2/5
Suppose -5*k - 8 = -2*s, k = 5*k. Factor 4*d**2 + s*d + 2*d**5 - 8*d**3 + 4 - 12*d**2 + 4*d**4 + 2*d**5.
4*(d - 1)**2*(d + 1)**3
Let c be (-8 + 2)/(3/(-4)). Suppose 7*i = c*i. Factor -42 + 10 + i*s**2 - 10*s**2 + 16*s + 8*s**2.
-2*(s - 4)**2
Let d = 110 - 108. Let r(x) = -x**2 + 8*x - 4. Let q be r(7). Factor -2/3 - 2*i - 2*i**d - 2/3*i**q.
-2*(i + 1)**3/3
Let m = 1599 + -7988/5. Factor 4*z**2 + 8/5*z + 0 + 18/5*z**3 + 1/5*z**5 + m*z**4.
z*(z + 1)*(z + 2)**3/5
Factor 28*g - 828 - 5*g**2 - 138*g + 223.
-5*(g + 11)**2
Let z(q) be the first derivative of -q**4 + 20*q**3 + 2*q**2 - 60*q + 174. Factor z(v).
-4*(v - 15)*(v - 1)*(v + 1)
Let s = -24 + 27. Suppose -5*a = -s*a - 12. Let -9/2*o**2 + 12*o - a = 0. Calculate o.
2/3, 2
Let m be (1 - (-1 - 14))*(-1)/(-2). Let j be 2/4*4/24*m. Suppose j*o**4 - 4/3*o**2 - 2/3*o + 4/3*o**3 + 2/3 - 2/3*o**5 = 0. What is o?
-1, 1
Let s(z) be the first derivative of -z**4/8 + 17*z**3/3 - 91*z**2 + 588*z + 667. Find d such that s(d) = 0.
6, 14
Factor -8/7 - 26/7*j - 25/7*j**2 - 4/7*j**3 + 3/7*j**4.
(j - 4)*(j + 1)**2*(3*j + 2)/7
Let z(g) be the first derivative of g**4/4 - 31*g**3/3 - 16*g**2 - 175. Factor z(p).
p*(p - 32)*(p + 1)
Let g(q) be the second derivative of q**4/114 - 7*q**3/57 - 18*q**2/19 + 91*q. Factor g(p).
2*(p - 9)*(p + 2)/19
Suppose -4*n + a - 5 + 30 = 0, 20 = n - 3*a. Factor -n*w + 2*w**2 + 5*w**2 + 7*w.
w*(7*w + 2)
Suppose 35/6*i - 13/3 - 3/2*i**2 = 0. Calculate i.
1, 26/9
Factor -420*o - 8*o**3 - 4 + 3*o**5 + 840*o - o**5 + 4*o**2 - 414*o.
2*(o - 1)**3*(o + 1)*(o + 2)
Let i(c) be the second derivative of c**5/40 - 7*c**2/2 + 20*c. Let s(n) be the first derivative of i(n). Solve s(y) = 0 for y.
0
Let r be (464/(-24) + 10)/((-2)/(-3)). Let o be (-7)/(441/(-10)) + (-4)/r. Let o*c - 2/9*c**2 + 0 = 0. Calculate c.
0, 2
Factor 27*s**2 - 10*s**2 + 2*s**3 + 4*s**4 - 14*s**3 - 9*s**2.
4*s**2*(s - 2)*(s - 1)
Let s(o) be the third derivative of -o**5/420 + 19*o**4/28 - 1083*o**3/14 - 26*o**2 - 2. Factor s(k).
-(k - 57)**2/7
Let i(z) be the first derivative of z**4/4 + z**3/12 - 213. Find s, given that i(s) = 0.
-1/4, 0
Let d = 16 - -32. Factor -16*k**4 + 12*k**3 + d + 3*k**4 - 48*k + 10*k**4.
-3*(k - 2)**3*(k + 2)
Let x = -134 + 129. Let k(t) = t**3 + 5*t**2 + t + 8. Let v be k(x). Suppose 2/7*h**4 + 0 - 6/7*h**2 - 4/7*h + 0*h**v = 0. What is h?
-1, 0, 2
Let b(x) = 20*x**2 + 11*x + 4. Let r(s) = -3*s**2 - s - 1. Let q(f) = 3*b(f) + 21*r(f). Factor q(j).
-3*(j - 3)*(j - 1)
Let q = 637 - 1909/3. Find s such that -1/3 + 0*s**2 - 2/3*s + 1/3*s**4 + q*s**3 = 0.
-1, 1
Let g = -5760939/160 + 36006. Let v(m) be the third derivative of -m**2 + g*m**6 + 1/8*m**4 + 0*m + 0 - 9/280*m**7 - 1/5*m**5 + 0*m**3. Factor v(b).
-3*b*(b - 1)*(3*b - 2)**2/4
Suppose -4*z - 16 = 0, z + 26 = 3*r - 4*z. Let s be 2/(r/(-3)) - 144/(-45). Find k, given that -4/5 - s*k**2 - 4/5*k = 0.
-2
Let i(r) = 2*r**3 - 25*r**2 + 30*r - 39. Let f(j) = -8*j**3 + 97*j**2 - 124*j + 155. Let y(d) = 6*f(d) + 22*i(d). Find o such that y(o) = 0.
2, 3
Determine f so that -144*f + 6 - 147/2*f**2 = 0.
-2, 2/49
What is c in -12/5*c**3 + 14/5*c - 4/5*c**2 - 6/5 + 2*c**4 - 2/5*c**5 = 0?
-1, 1, 3
Let y(t) be the first derivative of -3*t**6/4 + 147*t**5/10 - 309*t**4/8 + 71*t**3/2 - 21*t**2/2 + 78. Find l, given that y(l) = 0.
0, 1/3, 1, 14
Suppose 28*a - 32 = 24. Let i(h) be the first derivative of -6*h - 11/2*h**2 - a - h**3. Determine u so that i(u) = 0.
-3, -2/3
Let a = -36 + 38. Factor -71*h + 4*h**a + 53*h + 8*h**2 - 2*h**3.
-2*h*(h - 3)**2
Suppose -27*u + 32*u - 10 = 0. Let t(r) be the second derivative of 0 + 0*r**u - 1/15*r**6 - r - 1/6*r**3 + 0*r**5 + 1/6*r**4 + 1/42*r**7. Factor t(x).
x*(x - 1)**3*(x + 1)
Let g be 14 + (-20 - -15) + -6. Factor 0 - 16/13*b**2 + 0*b - 10/13*b**4 - 44/13*b**g.
-2*b**2*(b + 4)*(5*b + 2)/13
Let y(z) be the second derivative of z**7/42 - z**6/30 - z**5/10 + z**4/6 + z**3/6 - z**2/2 - 2*z - 1. Determine g so that y(g) = 0.
-1, 1
Let p(o) = 4*o**3 - 27*o**2 - 3*o + 126. Let w be p(6). Solve -4/3*r + w + 4*r**3 + 8/3*r**5 - 20/3*r**4 + 4/3*r**2 = 0.
-1/2, 0, 1
Determine n so that -6 + 9/4*n**2 + 15/2*n - 3/4*n**4 - 3*n**3 = 0.
-4, -2, 1
Suppose -2*w = -0*o + 3*o - 16, 5*o + 3*w = 26. Factor -12*h**2 - h**3 + 4*h**4 + 9*h**3 - 5*h + 4 - 4*h**5 + o*h**2 + h.
-4*(h - 1)**3*(h + 1)**2
Suppose -1 = 4*x + 11. Let b be 3/(3*(-1)/x). Let -12*t**3 - 4*t**2 + 16*t**b + t**5 - 6*t**3 + t**5 + 4*t**4 = 0. Calculate t.
-2, -1, 0, 1
Let r(p) be the third derivative of -p**5/120 + p**3/12 + 32*p**2. Determine y so that r(y) = 0.
-1, 1
Let w(k) = -k**2 + 3*k - 11. Let s(y) = 4*y - 10. Let r = 59 - 55. Let p(j) = r*w(j) - 6*s(j). Factor p(m).
-4*(m - 1)*(m + 4)
Let l(r) be the first derivative of -r**5/510 + r**4/204 + 13*r**2/2 + 33. Let w(z) be the second derivative of l(z). Factor w(o).
-2*o*(o - 1)/17
Let x(c) = -c**2 + 2*c + 15. Let h be x(0). Suppose -h = -2*w - 3*w. Factor -f**4 - 3*f**2 + 8*f**4 + 2*f**4 + 9*f**3 + w*f**4.
3*f**2*(f + 1)*(4*f - 1)
Let m(u) be the second derivative of -5/42*u**7 + 25/3*u**4 + 0*u**2 - 9/2*u**5 + 0 + 7/6*u**6 - 12*u - 20/3*u**3. Determine b so that m(b) = 0.
0, 1, 2
Let p be 5/(-15) - 28/(-12). Factor 3*s**4 - p*s**2 + s**2 - 9*s**3 + 4*s**2 + 6*s + 3*s - 6.
3*(s - 2)*(s - 1)**2*(s + 1)
Factor 0 - 44/9*j + 2/9*j**2.
2*j*(j - 22)/9
Let l be (5*3/495)/((-9)/(-68)). Let k = l - 2/297. Find b, given that 0*b + k - 2/9*b**2 = 0.
-1, 1
Let q = -136 + 139. Factor -3/2*d + 1/2*d**q - 1 + 0*d**2.
(d - 2)*(d + 1)**2/2
Let x(h) be the second derivative of -h**6/60 + h**5/5 - 17*h**4/24 + 5*h**3/6 - 125*h. Solve x(w) = 0 for w.
0, 1, 2, 5
Let f = -30 - -35. What is v in f*v + 10*v**3 + 6*v**4 - 7*v - 6*v - 8*v**2 = 0?
-2, -2/3, 0, 1
Let c be (0 + 9/20)/(57/608). Find u such that -21/5*u**3 + 12/5 - 3/5*u**5 + c*u + 3/5*u**2 - 3*u**4 = 0.
-2, -1, 1
Let c(b) = b - 3. Let z be c(7). Solve 9*x**5 - 12*x - z*x**3 + x**3 - 11*x**4 + 6*x**3 - 13*x**4 + 24*x**2 = 0.
-1, 0, 2/3, 1, 2
Suppose -2*l - 5*v = -6*l + 28, -40 = -5*l + 5*v. Let t be (-2 - 171/(-60)) + l/(-20). Factor 1/4 - 1/4*f - 1/4*f**2 + t*f**3.
(f - 1)**2*(f + 1)/4
Let m(c) be the third