40 + 13*f**4/12 + 8*f. Let d(i) be the third derivative of m(i). Factor d(q).
2*q*(7*q + 2)/3
Let i = -93 + 103. Factor -6*x - 2 - 4*x**2 + x**2 + 1 + i.
-3*(x - 1)*(x + 3)
Let m(o) be the first derivative of 5/17*o**2 - 4/51*o**3 + 12/17*o - 40 - 1/34*o**4. Factor m(g).
-2*(g - 2)*(g + 1)*(g + 3)/17
Let c be (3/(-9))/((-14)/12). Suppose 4*j = 15*j + 12*j. Determine o so that c*o**3 + j + 12/7*o**2 + 18/7*o = 0.
-3, 0
Let h(l) = 19 - l - 47 + 15. Let t be h(-16). Let 297/2*g**2 - 90*g**4 - 54*g + 6 - 183/2*g**t = 0. Calculate g.
-2, 1/4, 1/3, 2/5
Factor 5*c**3 + 3*c**2 - 23 + 7 - 16*c + c**3 - 2*c**3 + c**2.
4*(c - 2)*(c + 1)*(c + 2)
Suppose 0*v + 5*v + 60 = 0. Let j = -7 - v. Solve -2*l**3 - 4*l**4 + 3*l**j + 4*l**2 - l**5 + 0*l**4 + 0*l**3 = 0 for l.
-1, 0, 1, 2
Let l be (-115988)/3920 - 2/(-8). Let p = -4/735 - l. Determine n, given that 16/3 - 10*n**4 + p*n + 164/3*n**2 - 12*n**5 + 98/3*n**3 = 0.
-1, -2/3, -1/2, 2
Suppose -3*h + 4 = -17. Let k = h + -6. Let c(x) = -3*x**4 + 6*x**3 - 12*x**2 - 6*x. Let d(i) = i**2. Let m(u) = k*c(u) + 15*d(u). Factor m(g).
-3*g*(g - 2)*(g - 1)*(g + 1)
Let q(y) be the third derivative of -1/144*y**6 + 0*y**3 - 5/144*y**4 - 34*y**2 + 0*y + 0 + 1/36*y**5. Factor q(w).
-5*w*(w - 1)**2/6
Let a(w) be the second derivative of w**6/225 - 34*w**5/75 - 7*w**4/3 - 212*w**3/45 - 71*w**2/15 - 69*w - 1. Factor a(p).
2*(p - 71)*(p + 1)**3/15
Let d(h) be the second derivative of h**8/1960 + h**7/735 + h**6/1260 - h**3/3 + 9*h. Let v(u) be the second derivative of d(u). Let v(n) = 0. Calculate n.
-1, -1/3, 0
Determine s, given that -976*s**2 + 13720*s - 5*s**4 - 507*s**2 - 1457*s**2 + 210*s**3 = 0.
0, 14
Let z(i) = -3*i**2 + 3*i. Suppose a + 11*a = 3*a. Let p be z(a). Factor 1/6*w**4 + 0*w**2 + 0 + 1/6*w**3 + p*w.
w**3*(w + 1)/6
Let a(t) be the first derivative of -1/8*t**4 + 1/2*t**3 - 3 - 1/2*t**2 + 0*t. Factor a(s).
-s*(s - 2)*(s - 1)/2
Let t(v) be the first derivative of -v**6/30 + 6*v**5/25 - 3*v**4/5 + 2*v**3/3 - 3*v**2/10 - 301. Let t(d) = 0. Calculate d.
0, 1, 3
Let m(w) be the second derivative of -w**5/180 - 17*w**4/108 - 31*w**3/54 - 5*w**2/6 + 327*w. Let m(v) = 0. Calculate v.
-15, -1
Let n(t) be the first derivative of -t**5/15 + 5*t**4/12 + 13*t**3/9 + 7*t**2/6 - 65. Let n(s) = 0. What is s?
-1, 0, 7
Factor 20/7 - 6/7*i - 2/7*i**2.
-2*(i - 2)*(i + 5)/7
Let n(m) be the second derivative of -m**6/180 + 16*m**5/15 - 301*m**4/4 + 18490*m**3/9 + 79507*m**2/12 - 130*m. Factor n(g).
-(g - 43)**3*(g + 1)/6
Let n(u) be the third derivative of 0*u + 1/390*u**5 + 1/26*u**4 + 0 + 5/39*u**3 + 36*u**2. Factor n(s).
2*(s + 1)*(s + 5)/13
Let a be (9/(-747))/(0 - 1). Let z = 90/581 - a. Suppose 0*d**2 + 1/7*d**3 - z*d + 0 = 0. Calculate d.
-1, 0, 1
Let t(v) be the third derivative of -v**6/600 - v**5/150 + v**4/120 + v**3/15 - 41*v**2. Find p, given that t(p) = 0.
-2, -1, 1
Let k(z) be the third derivative of -z**6/160 + 7*z**5/80 - 7*z**4/16 + z**3 - 78*z**2. Suppose k(a) = 0. What is a?
1, 2, 4
Let p(j) be the third derivative of -j**6/180 + 11*j**5/45 - 35*j**4/9 + 200*j**3/9 + 199*j**2 + 2. Factor p(s).
-2*(s - 10)**2*(s - 2)/3
Suppose 2*m = 5*i - 97 + 79, 4 = -m. Factor 1/6*t**i - 1/6*t + 0.
t*(t - 1)/6
Suppose y + 68 - 134 + 61 = 0. Determine k, given that 6/5*k**2 - 2/5*k**3 + 0 - 6/5*k**4 + 4/5*k - 2/5*k**y = 0.
-2, -1, 0, 1
Let -4*l**4 + 8*l - 3*l**3 - 169 + 79 + 78 - 5*l**3 + 16*l**2 = 0. Calculate l.
-3, -1, 1
Let s be (2/(-4))/((-15)/285). Let p(m) = 12*m + 4. Let f be p(0). Find a such that 2*a - 2 - 2*a**3 - 15/2*a**f + s*a**2 = 0.
-1, -2/3, 2/5, 1
Let b = -839/10 + 84. Let v(q) be the first derivative of 1/15*q**3 - 1/5*q**2 + 1 + b*q**4 - 1/5*q. Factor v(k).
(k - 1)*(k + 1)*(2*k + 1)/5
Let c be ((1/11)/(4/(-4)))/(52/(-104)). Determine p, given that -2/11*p + c*p**3 + 6/11*p**2 - 6/11 = 0.
-3, -1, 1
Suppose 3*h + u - 2*u - 8 = 0, -2 = u. Factor 8/7*m**h - 2/7*m**3 - 10/7*m + 4/7.
-2*(m - 2)*(m - 1)**2/7
Let v(z) be the third derivative of 0*z + 1/6*z**3 + 0*z**4 + 0 - 1/60*z**5 + 32*z**2. Solve v(g) = 0.
-1, 1
Suppose 3*j = a - 1, 5*j + a + 60 - 61 = 0. Let x(r) be the second derivative of r + 0*r**4 + 0*r**3 + j*r**2 - 1/10*r**5 + 0. What is k in x(k) = 0?
0
Let h(x) be the second derivative of -1/10*x**4 - 2/15*x**3 + 0 + 1/5*x**2 - 7*x. Factor h(f).
-2*(f + 1)*(3*f - 1)/5
Let p(c) = 2*c**3 - 2*c**2 - c + 1. Let x(a) = 36*a**4 + 530*a**3 - 94*a**2 - 116*a + 28. Let b(u) = -2*p(u) - x(u). Let b(r) = 0. What is r?
-15, -1/2, 1/3
Factor -3*m**3 - 56*m - 9 + 71*m - m**2 + 3*m**2 - 5*m**2.
-3*(m - 1)**2*(m + 3)
Let a(v) be the third derivative of v**8/1120 + v**7/240 + v**6/360 - v**3/3 + 11*v**2. Let n(b) be the first derivative of a(b). Factor n(h).
h**2*(h + 2)*(3*h + 1)/2
Factor -16*b + 96 + 2/3*b**2.
2*(b - 12)**2/3
Factor 0 - m**4 - 1393*m**3 + 1396*m**3 + 0.
-m**3*(m - 3)
Let a(r) be the third derivative of 0 + 0*r**3 + 0*r + 0*r**4 + 1/260*r**6 + 1/1365*r**7 - 10*r**2 + 1/195*r**5. Factor a(c).
2*c**2*(c + 1)*(c + 2)/13
Let z(r) be the third derivative of r**6/150 - 4*r**5/25 + 7*r**4/6 - 868*r**2. Factor z(p).
4*p*(p - 7)*(p - 5)/5
Let g(y) be the third derivative of -y**6/540 - 2*y**5/135 - y**4/36 + 99*y**2. Factor g(t).
-2*t*(t + 1)*(t + 3)/9
Let w(o) be the first derivative of -5*o**4/24 - 5*o**3/3 - 15*o**2/4 - 10*o/3 - 122. Factor w(f).
-5*(f + 1)**2*(f + 4)/6
Suppose 0*u - 25 = 5*u. Let f = -1 - u. Factor -z**f - 3*z**2 + z**2 + z**2 + 5*z**4 + 3*z**3.
z**2*(z + 1)*(4*z - 1)
Determine y so that 4*y**2 - 8*y**5 + 5 - 16*y - 4*y - 11 - 2 + 4*y**4 + 28*y**3 = 0.
-1, -1/2, 1, 2
Let s be (-3)/(-2)*(-2)/(-3). Let a be s/8 - 60/(-32). Factor -6*z**2 + z**4 + 3*z**3 + 4*z**4 - a*z**4.
3*z**2*(z - 1)*(z + 2)
Let w(l) = -2*l**3 + 58*l**2 + 67*l - 208. Let p be w(30). Let 0*x - 3/4*x**p + 3/4 = 0. Calculate x.
-1, 1
Let l(w) be the third derivative of -w**8/84 + 3*w**7/56 - w**6/36 + 6*w**3 + 27*w**2. Let q(s) be the first derivative of l(s). Factor q(h).
-5*h**2*(h - 2)*(4*h - 1)
Let h(i) be the third derivative of -7/90*i**5 + 0*i**3 - 1/12*i**4 - 47*i**2 + 0 + 0*i. Determine j, given that h(j) = 0.
-3/7, 0
Suppose -30 = -3*v - 4*v - 8*v. Factor -21/8*r**v - 27/8*r - 3/4.
-3*(r + 1)*(7*r + 2)/8
Suppose -25*o - 7*o - 166*o**3 + 12 + 5*o**4 - 3*o**2 + 184*o**3 = 0. What is o?
-3, -2, 2/5, 1
Let w be 20/15 + 50/30. Find m such that 0 - 4/21*m**4 + 2/21*m**5 + 2/21*m**w + 0*m + 0*m**2 = 0.
0, 1
Let o(c) = -2*c**3 - c**2 - 6*c + 1. Let a(l) = -24*l**3 + 83*l**2 - 78*l - 15. Let v(h) = 2*a(h) - 2*o(h). Factor v(d).
-4*(d - 2)**2*(11*d + 2)
Let b(v) = -16*v**2 + 116*v - 124. Let z(c) = 13*c**2 - 118*c + 123. Let u(n) = 3*b(n) + 4*z(n). Factor u(y).
4*(y - 30)*(y - 1)
Let l(p) be the third derivative of 0*p + 0 + 0*p**3 + 1/132*p**4 - 1/1155*p**7 - 13*p**2 + 1/330*p**5 - 1/660*p**6. Find s, given that l(s) = 0.
-1, 0, 1
Let g = 37 - 34. Determine n so that 3*n**2 + 13/4*n**g + 0 + 3/2*n**4 + 1/4*n**5 + n = 0.
-2, -1, 0
Let w be 8 - (4 - -11)/5. Let 24*s - 92*s**2 - 2 - 55*s**4 - w*s**4 + 10*s**4 + 120*s**3 = 0. What is s?
1/5, 1
Let w(f) be the first derivative of -2*f**5/35 + f**4/14 + 2*f**3/21 - f**2/7 + 28. Factor w(x).
-2*x*(x - 1)**2*(x + 1)/7
Let w = 10 - 6. Let j be 110/33 + w/6. Factor 3 - j*i + 28*i**2 - 49*i**3 - 3 + 0.
-i*(7*i - 2)**2
Let f(w) = w**4 - 127*w**3 - 4*w**2 + 8. Let s(c) = 9*c**4 - 1017*c**3 - 33*c**2 + 66. Let g(a) = -33*f(a) + 4*s(a). Factor g(r).
3*r**3*(r + 41)
Let n(s) be the first derivative of 2*s**5/5 - 7*s**4/2 - 34*s**3/3 - 9*s**2 - 149. Factor n(k).
2*k*(k - 9)*(k + 1)**2
Suppose -2*d = 2 - 14. Suppose 0*i = 7*i - 35. Factor 35*s**5 - s**4 - 32*s**5 - i*s**4 + d*s**2 - 3*s.
3*s*(s - 1)**3*(s + 1)
Let j(d) be the second derivative of -d**4/96 + d**3/3 + 9*d**2/4 - 239*d. Solve j(f) = 0 for f.
-2, 18
Let b(q) be the first derivative of q**7/210 - 7*q**5/30 - q**4 - 29*q**3/3 - 23. Let r(u) be the third derivative of b(u). Factor r(i).
4*(i - 3)*(i + 1)*(i + 2)
Suppose 14/15*f**5 - 104/15*f**2 + 0 + 32/15*f**4 - 62/15*f**3 - 8/5*f = 0. What is f?
-3, -1, -2/7, 0, 2
Let s(j) be the second derivative of -35/2*j**2 + 5*j**3 - 47*j + 0 + 5/12*j**4. What is x in s(x) = 0?
-7, 1
Suppose -3*r - 77*i + 7 = -76*i, -r = 4*i - 6. Let s(g) be the third derivative of 0*g + 0 + 1/100*g**5 + 1