b + 653. Let a(f) = -12*f**2 + 216*f - 980. Let y(d) = 5*a(d) + 8*w(d). Factor y(c).
4*(c - 9)**2
Let t(v) be the first derivative of -v**6/120 + v**5/60 + 5*v**4/24 + v**3/2 + v**2/2 - v + 52. Let i(y) be the second derivative of t(y). Factor i(c).
-(c - 3)*(c + 1)**2
Let d(h) = 12*h - 74. Let i be d(9). Suppose 26*s - i*s + 24 = 0. Factor -4*x - x**s + 4/3 + 11/3*x**2.
-(x - 2)*(x - 1)*(3*x - 2)/3
Factor -4/5*h**3 + 4/5 - 4/5*h**2 + 4/5*h.
-4*(h - 1)*(h + 1)**2/5
Let a(p) be the first derivative of p**5/15 + p**4/6 - 13*p**3/9 - 7*p**2/3 + 8*p + 266. Determine q, given that a(q) = 0.
-4, -2, 1, 3
Determine q, given that -2/13*q**2 - 18/13*q**3 - 18/13 + 42/13*q - 4/13*q**4 = 0.
-3, 1/2, 1
Let p(u) be the second derivative of -u**5/90 + 2*u**4/27 - 5*u**3/27 + 2*u**2/9 - 15*u - 1. Suppose p(f) = 0. What is f?
1, 2
Let o(w) be the third derivative of 0*w + 7*w**2 + 1/108*w**4 + 1/135*w**5 + 1/540*w**6 + 0*w**3 + 0. Suppose o(d) = 0. What is d?
-1, 0
Let r be (2 + 0)*1285/30. Let v = r - 1787/21. Suppose 10/7*c**2 - v + 6/7*c = 0. Calculate c.
-1, 2/5
Let w(o) be the third derivative of o**6/840 - o**5/420 - 31*o**2. Factor w(l).
l**2*(l - 1)/7
Let q = -2570 + 20609/8. Factor -2*i + 23/8*i**2 - 119/8*i**4 + q*i**5 - 1/2 + 67/8*i**3.
(i - 1)**3*(7*i + 2)**2/8
Let j(b) be the first derivative of b**4/20 + 2*b**3/5 + 11*b**2/10 + 6*b/5 + 58. Factor j(m).
(m + 1)*(m + 2)*(m + 3)/5
Suppose 0 = 6*v + 24*v - 210. Let r(h) be the third derivative of 0 + 1/15*h**v - 5*h**2 - 1/15*h**5 + 0*h + 0*h**4 + 0*h**3 + 1/12*h**6. Factor r(o).
2*o**2*(o + 1)*(7*o - 2)
Let w(b) = -4 - 6*b**3 - 15*b**2 + 16 + 6*b**2. Let y(x) = -5*x**3 - 9*x**2 + x + 11. Let p(f) = -2*w(f) + 3*y(f). Solve p(a) = 0.
-3, -1, 1
Find j, given that 0 - 4/3*j - 3/2*j**4 + 7*j**2 - 25/6*j**3 = 0.
-4, 0, 2/9, 1
Let y(t) = -t**3 + 19*t**2. Let n be y(19). Suppose 4*o + x - 5 = n, 2*o + 4*x + 0 = -8. Factor -g**3 + 3*g**3 - 21*g**o + g**3 + 24*g**2.
3*g**2*(g + 1)
Suppose 5*d + 13 = -4*f, 2*d + 15 = 2*f - 5*f. Factor 1/4*h**4 + 0 - 1/4*h**2 - 1/4*h**d + 1/4*h.
h*(h - 1)**2*(h + 1)/4
Let s(g) = -11*g**2 - 29*g - 8. Suppose -5 = -o, 5*q = q + 4*o - 4. Let a(r) = 12*r**2 + 30*r + 8. Let y(v) = q*s(v) + 6*a(v). Let y(c) = 0. What is c?
-2, -2/7
Let d(g) = -g**3 - g**2 + g - 4. Let i(z) = -5*z**3 + 6*z**2 + 6*z - 24. Let k(f) = -6*d(f) + i(f). Solve k(u) = 0 for u.
-12, 0
Suppose -4*d - 4 = 0, -a + 4*d + 58 = -2*a. Let l be (-2 + a/(-21))/((-84)/(-98)). Factor -10/9*s + 0*s**2 + 20/9*s**3 + 4/9 + l*s**5 - 20/9*s**4.
2*(s - 1)**4*(3*s + 2)/9
Suppose t + 0*t - 3 = 0. Suppose 0 = 3*p - 9, t*j - 1 = 5*p - 7. Factor 0*k + 4/11*k**2 - 2/11*k**j + 0.
-2*k**2*(k - 2)/11
Let f(q) = -5*q**4 - 35*q**3 + 5*q**2 - 35*q - 35. Let i(c) = -c**4 - 6*c**3 + c**2 - 6*c - 6. Let t(b) = 6*f(b) - 35*i(b). Factor t(l).
5*l**2*(l - 1)*(l + 1)
Suppose -4*k - 13 = -1. Let s be 2/k*(-48)/32. Solve 7*w**2 + 5 + s - 8*w - 5*w**2 = 0.
1, 3
Let i(h) be the third derivative of -h**8/168 + h**6/20 - h**5/15 + 31*h**2. Factor i(v).
-2*v**2*(v - 1)**2*(v + 2)
Suppose -10 + 11 = 2*h + 3*u, 0 = -5*h - 4*u + 13. Let d(g) be the third derivative of 0*g + 0 - 7*g**2 + 1/6*g**4 - 1/30*g**h - 1/3*g**3. Factor d(q).
-2*(q - 1)**2
Let v = 183/11 - 871/55. Factor -12/5 + v*g**2 - 8/5*g.
4*(g - 3)*(g + 1)/5
Suppose -5 = -5*p - q, p - 2*q = -p + 2. Suppose -3*k - 3*w + 3 + 0 = 0, 0 = 5*k - w + p. Factor k + 2/3*c + 2/9*c**2.
2*c*(c + 3)/9
Let t(h) be the second derivative of 0 + 3*h**3 + 3*h + 3/160*h**5 + 12*h**2 + 3/8*h**4. Find s such that t(s) = 0.
-4
Let h(n) be the third derivative of -n**5/20 - 13*n**4/8 - 21*n**3 + 128*n**2. Factor h(z).
-3*(z + 6)*(z + 7)
Let v be 7*((-58)/(-42) + 14/42). Let q be 6 - (5 + (-6)/v). Let -3/2 - q*z + 105/8*z**2 = 0. What is z?
-2/7, 2/5
Let s(h) = -h**2 + h - 4. Let b(j) = -j**4 - 13*j**3 + 31*j**2 - 17*j + 8. Let x(v) = -3*b(v) - 6*s(v). Factor x(w).
3*w*(w - 1)**2*(w + 15)
Let d be 8/2*(-1)/(-19). Let b = 37859 + -37856. Solve -10/19*u**2 + 0 - 6/19*u**b + d*u = 0.
-2, 0, 1/3
Let d(g) be the first derivative of -g**4/20 + 11*g**3/15 - 13*g**2/5 + 16*g/5 - 46. Let d(p) = 0. Calculate p.
1, 2, 8
Let v(r) = 2*r**2 - r + 1. Let k(s) = -14*s**2 - 14*s - 24. Let q(g) = k(g) + 6*v(g). Factor q(i).
-2*(i + 1)*(i + 9)
Let w(t) = 4*t**3 + 2*t**2 - 19*t + 6. Let a be w(3). Let v = -3 + 6. Suppose m + 71*m**2 + 4*m**4 - v*m + 2*m**5 - a*m**2 = 0. Calculate m.
-1, 0, 1
Let n(s) = s**3 - s. Let f(b) = -b**4 + 9*b**3 + 3*b**2 - 11*b - 4. Let w(z) = -4*f(z) + 28*n(z). Factor w(t).
4*(t - 2)**2*(t + 1)**2
Let c be (-8)/(-15)*(-873)/(-388). Let a = -8 - -11. Factor -4/5*p**a + c*p**2 - 2/5*p**4 + 8/5*p - 8/5.
-2*(p - 1)**2*(p + 2)**2/5
Let p(u) = 5*u**2 - 3*u - 8. Let i(r) = -15*r**2 + r + 21 + 9*r + 4. Let b(m) = 3*i(m) + 10*p(m). Determine f, given that b(f) = 0.
-1, 1
Factor 3/7*u**3 - 72/7*u**2 + 375/7*u - 306/7.
3*(u - 17)*(u - 6)*(u - 1)/7
Let n be 91/6 + (19/(-6) - -3). Find z, given that 6 + 0 - 11*z**2 + n*z - 17*z**2 + 7*z**2 = 0.
-2/7, 1
Let i(k) be the second derivative of 1/24*k**4 + 3/2*k**2 - 23*k + 5/12*k**3 + 0. Solve i(m) = 0 for m.
-3, -2
Let o = -4 + 6. Suppose -o*t + 7*t + 5*g = 15, 0 = t - 2*g - 18. Factor 9*m**4 - t*m**3 + 3*m - 3*m**4 + 0*m**4 + m - 2*m**2.
2*m*(m - 1)**2*(3*m + 2)
Let m be (-27972)/3626*(-1 + 1/3). Solve -1/7*n**2 + 12/7*n - m = 0 for n.
6
Suppose 7 = m + 5*f, -5*m = f - 9 - 2. Suppose -4*j + 4 = -3*h, -m*h = -4*j + 2*h + 4. Factor j + 3*v**2 - 7/2*v.
(2*v - 1)*(3*v - 2)/2
Let t = -22925/4 + 5732. Let 3/2*a + t*a**2 + 0 = 0. What is a?
-2, 0
Factor -252*z**3 + 247*z**3 - 29 + 90*z**2 + 105*z - 161.
-5*(z - 19)*(z - 1)*(z + 2)
Let z be 34/45 - 2*(-2)/9. Let 1/5*b**3 - 4/5 + 9/5*b - z*b**2 = 0. Calculate b.
1, 4
Let r(a) be the second derivative of a**6/90 - 4*a**5/15 - a**4/36 + 8*a**3/9 + 172*a. Factor r(y).
y*(y - 16)*(y - 1)*(y + 1)/3
Factor 1/5*y**4 + 0 + 0*y + 2/5*y**2 + 3/5*y**3.
y**2*(y + 1)*(y + 2)/5
Suppose 7*a + 20 = 17*a. Solve -g + 3*g**3 + 21*g**4 + 7*g + 42*g**2 - 9*g**5 - 63*g**a = 0.
-1, 0, 1/3, 1, 2
Let t = -1688 - -11846/7. Let j = 268 - 266. Suppose 2*q**3 + 2/7*q**4 + 0 + 18/7*q + t*q**j = 0. Calculate q.
-3, -1, 0
Factor -8/5*s**2 + 0*s - 2*s**3 - 2/5*s**4 + 0.
-2*s**2*(s + 1)*(s + 4)/5
Let t be 48/20 + (-6)/(-10). Suppose -5 = -t*h + u + 4, 5*h + 5*u - 15 = 0. Factor -4*x**2 + 12*x + 22*x**2 + 6 + 3*x**4 + 12*x**h - 3.
3*(x + 1)**4
Let i(k) be the third derivative of k**8/30240 - k**6/270 + k**5/30 + 19*k**3/6 + 8*k**2. Let p(x) be the third derivative of i(x). Factor p(m).
2*(m - 2)*(m + 2)/3
Factor -16/5*a**3 - 12/5*a - 26/5*a**2 + 0 - 2/5*a**4.
-2*a*(a + 1)**2*(a + 6)/5
Suppose 0 = -3*o - 2*x - 3 - 1, -2*o + 2*x + 14 = 0. Find j, given that 12*j**o - 5*j**3 - 12*j**4 + 4*j**5 - 2*j**3 + 3*j**3 = 0.
-1, 0, 1, 3
Factor -1/4*u**3 + 9 - 1/4*u**2 + 9*u.
-(u - 6)*(u + 1)*(u + 6)/4
Suppose k + 2 = 4. Factor -1 - 5*m**k + 3*m**2 + 20*m - 6 - 43.
-2*(m - 5)**2
Let i(u) = -6*u**2 - 2*u + 4. Let t(k) = -25*k**2 + 10*k**2 + 0*k - k + 14*k**2. Let d(q) = -i(q) + 5*t(q). Factor d(s).
(s - 4)*(s + 1)
Let h(x) be the first derivative of x**6/12 + 11*x**5/5 + 21*x**4 + 72*x**3 - 108*x**2 - 1296*x + 190. Factor h(m).
(m - 2)*(m + 6)**4/2
Let x(z) = 3*z. Let c be 0 - (2 - 0 - 2). Let k be x(c). Factor -6/5*f**4 - 6/5*f**3 - 2/5*f**5 + k + 0*f - 2/5*f**2.
-2*f**2*(f + 1)**3/5
Let p(o) be the first derivative of 0*o + 0*o**2 + 25 - 8/3*o**3 + 28/5*o**5 + 5*o**4. Solve p(a) = 0 for a.
-1, 0, 2/7
Factor 1/7*b**2 + 19/7*b + 18/7.
(b + 1)*(b + 18)/7
Let p(s) = 1002*s + 2006. Let a be p(-2). Factor 0 + 4/11*w + 2/11*w**a.
2*w*(w + 2)/11
Let h(b) be the second derivative of 3*b**5/20 + 5*b**4/32 + 254*b + 1. Suppose h(t) = 0. What is t?
-5/8, 0
Let v(r) be the second derivative of r**5/110 + 7*r**4/22 + 24*r**3/11 + 68*r**2/11 + r - 5. Factor v(q).
2*(q + 2)**2*(q + 17)/11
Let g = -35 - -41. Let m be (15/g - 2)*(-8 - -8). Find q, given that 0*q - 1/2*q**2 + 5/4*q**3 + m + 1/4*q**5 - q**4 = 0.
0, 1, 2
Let g be 2 - 14/((-2)/1). Let f(v) = v**3 - 7*v**2 - 17*v - 6. Let c be f(g). What is r in 0 - 6/5*r + 21/5*r**2 - 3*r**c = 0?
0, 2/5, 1
What is h in -1764/5 + 164/5*h**2 + 4/5*h**3 + 1596/5*h = 0?
-21, 1
Let 4*d + 18*d**2 + 92*d**3 + 4*d - 80*d**3 + 2*d**4 = 0. Calculate d.
-4,