- 8 - 3*f**4. Determine o so that q(o) = 0.
-1, 0, 2/5, 3
Let z be 1/(-3) + 484/12. Suppose -2*t + z = 2*t. Factor 5 + 5 - 3*k**2 - 3*k**3 - t.
-3*k**2*(k + 1)
Let t(z) be the second derivative of -z**6/30 + z**5/10 - z**3/3 + z**2/2 - z + 32. Factor t(c).
-(c - 1)**3*(c + 1)
Let j = -339 + 341. Let v(t) be the second derivative of -1/4*t**4 + 3*t**j + 0 - 3*t + 1/2*t**3. What is h in v(h) = 0?
-1, 2
Suppose 3*f - 5*x - 31 = 0, 0 = -71*f + 76*f + 2*x. Factor 2/5*i**4 - 8/5*i - 12/5*i**f + 2/5*i**3 + 16/5.
2*(i - 2)*(i - 1)*(i + 2)**2/5
Let s(l) be the second derivative of -l**6/40 - 9*l**5/80 + 9*l**4/16 + 27*l**3/8 + 466*l. Let s(p) = 0. Calculate p.
-3, 0, 3
Let c(d) be the third derivative of d**8/84 + 2*d**7/105 - d**6/2 + 23*d**5/15 - 5*d**4/3 + 6*d**2 - 4. Determine r so that c(r) = 0.
-5, 0, 1, 2
Let o(l) = 19*l - 85*l**3 + 43*l**3 + 12*l**2 + 45*l**3 + 10. Let w(c) = -6*c**3 - 24*c**2 - 37*c - 19. Let t(a) = 7*o(a) + 4*w(a). Factor t(x).
-3*(x + 1)**2*(x + 2)
Let f(r) = -205*r + 1029. Let s be f(5). Determine v so that 8/3*v - 4*v**5 + 0 + 4/3*v**3 - 20/3*v**2 + 20/3*v**s = 0.
-1, 0, 2/3, 1
Suppose 13*h - 30 = 7*h. Let z(i) be the first derivative of 6*i + 13/2*i**3 - 189/4*i**4 + 1 + 243/10*i**h + 21*i**2. Factor z(q).
3*(q - 1)**2*(9*q + 2)**2/2
Let t = -38 - -20. Let f = -14 - t. Factor -3/2*l + 15/4*l**2 - 3*l**3 + 3/4*l**f + 0.
3*l*(l - 2)*(l - 1)**2/4
Let p be 445/356*-6*(-8)/30. Find w such that 20/9*w**5 + 0*w + 32/9*w**4 + 4/9*w**3 + 0 - 8/9*w**p = 0.
-1, 0, 2/5
Let s(l) be the third derivative of 1/120*l**6 + 0*l + 0*l**3 + 0 + 1/30*l**5 + 21*l**2 - 1/24*l**4 - 1/105*l**7. Suppose s(o) = 0. Calculate o.
-1, 0, 1/2, 1
Let j(p) = -3*p**3 + 19*p**2 - 30*p + 2. Let x be j(3). Let 3/2*d**5 - 3*d**x + 3*d**4 + 0 + 0*d**3 - 3/2*d = 0. Calculate d.
-1, 0, 1
Let u = 37065/13 - 2851. What is n in 2/13 - 2/13*n**2 - 2/13*n**3 + u*n = 0?
-1, 1
Let q(t) = t**2 - 1. Let p(y) = 2*y**2 + 44*y - 246. Let u(w) = p(w) - 4*q(w). Find b such that u(b) = 0.
11
Factor -1/3*t**2 - 4/3*t + 7.
-(t - 3)*(t + 7)/3
Factor 0 + 26/7*a**3 + 24/7*a**2 - 8*a**4 - 9/7*a - 7*a**5.
-a*(a + 1)**2*(7*a - 3)**2/7
Let n(a) = 9*a**2 + 107*a + 114. Let v(f) = -7*f**2 - 106*f - 111. Let m(d) = -3*n(d) - 4*v(d). Suppose m(s) = 0. Calculate s.
-102, -1
Let o be -10 - 3*282/(-36). Let w(i) be the second derivative of 12*i**2 + 2/5*i**6 + 0 - 5*i + 22*i**3 + 15/4*i**5 + o*i**4. Solve w(k) = 0 for k.
-2, -1/4
Let y(p) be the third derivative of -14*p**2 + 0 + 1/8*p**4 + 0*p + 3/20*p**5 - 3/2*p**3 - 1/40*p**6. Suppose y(a) = 0. Calculate a.
-1, 1, 3
Find s such that -1/4*s**4 - 3*s + 3/4*s**3 + 0 + s**2 = 0.
-2, 0, 2, 3
Let g(w) = -w + 16. Let r be g(12). Suppose 2*z + 0*z = 4*o + 8, 12 = r*z - 4*o. Solve 5*i**3 + 55*i**z + 4*i**3 - 4*i**3 + 125 + 175*i = 0.
-5, -1
Let c = -637 + 1913/3. Let h(r) be the first derivative of 0*r**2 - 4 - c*r + 2/9*r**3. Factor h(d).
2*(d - 1)*(d + 1)/3
Suppose -4*j + 111 = 99. Let s(i) be the first derivative of -27/5*i**5 + 2 + 2*i**6 + 9/2*i**4 + 0*i**2 - i**j + 0*i. Let s(v) = 0. Calculate v.
0, 1/4, 1
Suppose 0 = 4*p - 2*p + 5*q - 25, -p - 4 = -3*q. Let d be (-9)/(-18)*(-212)/(-2). Solve 0*v**2 + 54*v**4 + 7*v + p*v**3 - 3*v + 18*v**5 + d*v**3 + 26*v**2 = 0.
-1, -2/3, -1/3, 0
Suppose 4*g + 10*g - 70 = 0. Let l(p) be the first derivative of -44/5*p**g - 16*p**2 + 18*p**4 + 0*p + 4/3*p**6 - 2 - 16/3*p**3. Factor l(y).
4*y*(y - 2)**3*(2*y + 1)
Suppose 3*p - 4*y - y = 26, 3*y = 5*p - 22. Let a = 90 - 87. Suppose 0*u**2 + 5*u - 2*u - a*u**p = 0. What is u?
0, 1
Suppose 4*q + 12 = u, -u + 2*q = 4*u - 6. Let k(d) be the second derivative of u - 4*d + 1/12*d**4 + 0*d**2 - 3/40*d**5 + 1/12*d**3. Factor k(w).
-w*(w - 1)*(3*w + 1)/2
Let m = -7 + 9. Suppose -14*a + m = -13*a. Factor 10 + 14 + 18*n - 20 + 14*n**a.
2*(n + 1)*(7*n + 2)
Let b(w) be the second derivative of -w**7/126 - 4*w**6/45 - 3*w**5/10 - 4*w**4/9 - 5*w**3/18 - 94*w. Factor b(r).
-r*(r + 1)**3*(r + 5)/3
Let t = 74 + -71. Suppose 3 = 3*x, t*u = -2*x - 0*x + 11. Factor 4/3*v**2 - 2/9*v**u - 8/3*v + 16/9.
-2*(v - 2)**3/9
Let g(z) be the first derivative of 1/30*z**6 - 5/2*z**2 + 0*z**5 + 0*z + 7 - 1/6*z**4 + 0*z**3. Let j(h) be the second derivative of g(h). Factor j(a).
4*a*(a - 1)*(a + 1)
Let n = -856/13 + 66. Solve -n*f**3 - 6/13*f**2 + 0 - 4/13*f = 0.
-2, -1, 0
Let j(b) = b**3 - 9*b**2 + 10*b + 15. Let h be j(8). Let h*l + 5*l**2 - 6*l - 10*l = 0. What is l?
-3, 0
Let x(o) be the third derivative of 2*o**7/105 - 31*o**6/30 + 224*o**5/15 + 128*o**4/3 + 88*o**2. Factor x(z).
4*z*(z - 16)**2*(z + 1)
Let s(b) be the second derivative of -5/42*b**7 + 0*b**3 + 0*b**2 + 0 + 1/6*b**6 - 9*b + 0*b**4 + 0*b**5. Find q such that s(q) = 0.
0, 1
Let c(q) be the second derivative of -q**5/90 + 5*q**4/54 - q**3/9 - q**2 - 184*q. What is a in c(a) = 0?
-1, 3
Let j be 4 - (-6)/(4*9/(-6)). Factor -3/2 - 3*p**2 - 15/4*p - 3/4*p**j.
-3*(p + 1)**2*(p + 2)/4
Let r(t) = -11*t**2 - t. Let a(y) = 58*y**2 + 93*y + 65. Let i(w) = a(w) + 3*r(w). Factor i(j).
5*(j + 1)*(5*j + 13)
Let f(z) = -z**3 - 4*z**2 + 5*z + 3. Suppose 0 = -c - m - 10, 5 = -2*c + m - 0*m. Let t be f(c). Let 4*l**t - 2/3*l**4 - 8/3 + 8*l - 26/3*l**2 = 0. Calculate l.
1, 2
Factor -1/4*k**4 + 1 - 2*k + 1/2*k**3 + 3/4*k**2.
-(k - 2)*(k - 1)**2*(k + 2)/4
Let -2/13 - 112/13*c**4 - 146/13*c**3 - 32/13*c**5 - 22/13*c - 86/13*c**2 = 0. Calculate c.
-1, -1/4
Suppose g - 19*a - 12 = -21*a, -3*g + 16 = 2*a. Suppose 0 = 2*q - 5*m - 31, 2*q = 7*q + 5*m + 10. Factor 0*j + 0*j**q + 0*j**g + 0 + 1/3*j**5 + 1/3*j**4.
j**4*(j + 1)/3
Determine h, given that 126*h**2 + 33*h**3 - 77*h**3 + 12*h**5 - 28*h**4 - 64*h**3 + 144 + 336*h - 2*h**2 = 0.
-2, -1, -2/3, 3
Suppose -202 = 5*v - 212. What is r in -337 - 3*r + 337 + 5*r**v - 3*r**2 + r**3 = 0?
-3, 0, 1
Factor 307*k + 2*k**3 - 5*k**2 + 5*k**4 - 307*k - 5*k**5 + 3*k**3.
-5*k**2*(k - 1)**2*(k + 1)
Let f = -4827/10 - -483. Let d(r) be the second derivative of f*r**5 - 2*r - r**3 + 0 + 1/10*r**6 - 1/4*r**4 + 0*r**2. Factor d(z).
3*z*(z - 1)*(z + 1)*(z + 2)
Factor 1457*g**2 + 5*g**4 + g**3 - 1467*g**2 + 4*g**3.
5*g**2*(g - 1)*(g + 2)
Let l(o) be the third derivative of -o**6/280 + 3*o**5/35 - 45*o**4/56 + 25*o**3/7 + 3*o**2 - 13. Factor l(r).
-3*(r - 5)**2*(r - 2)/7
Let u(v) be the third derivative of 0*v**7 + 0 + 0*v + 0*v**4 + 0*v**5 - 1/84*v**8 + 6*v**2 + 0*v**3 + 1/30*v**6. Determine f so that u(f) = 0.
-1, 0, 1
Let 0*f - 6/7*f**2 + 8/7 - 2/7*f**3 = 0. Calculate f.
-2, 1
Find m such that -8*m**2 - 8*m - 2/9*m**3 + 32/9 + 2/3*m**4 = 0.
-2, 1/3, 4
Let h = 46 + -38. Factor -2*i**3 + 95*i**2 + h*i**3 + 3*i**4 - 92*i**2.
3*i**2*(i + 1)**2
Let t(p) = 8*p**3 + 97*p**2 + 582*p + 813. Let n(w) = -15*w**3 - 195*w**2 - 1165*w - 1625. Let l(s) = 3*n(s) + 5*t(s). Suppose l(f) = 0. What is f?
-9, -2
Let n(z) = z**3 - 306*z**2 - 1557*z - 8. Let d be n(-5). Find q, given that 3/2*q**4 + 9/2*q + 0 - 15/2*q**d + 3/2*q**3 = 0.
-3, 0, 1
Let m(p) = 6*p - 66. Let z(q) = q - 13. Let y(u) = -3*m(u) + 16*z(u). Let d be y(-7). Factor 0 + 8/9*g**d + 4/9*g**2 - 14/9*g**3 + 2/9*g.
2*g*(g - 1)**2*(4*g + 1)/9
Determine m so that 37*m**2 - 185*m - 4*m**2 + 10*m**2 + 5*m**3 + 42*m**2 + 95 = 0.
-19, 1
Let h(l) be the third derivative of -l**7/420 - 3*l**6/80 - l**5/10 + 5*l**4/3 + 16*l**3 - 183*l**2. Find d, given that h(d) = 0.
-4, 3
Let t(g) = -11*g**2 - 25*g - 14. Let f(i) = -65*i**2 - 150*i - 85. Let w(d) = 6*f(d) - 35*t(d). Factor w(r).
-5*(r + 1)*(r + 4)
Let 8*w**2 - 18*w**4 + 12*w + 8*w**3 + 14*w**2 + 16*w**4 = 0. What is w?
-1, 0, 6
Factor -15/8*n - 5/4*n**3 + 0*n**4 - 1/2 + 1/8*n**5 - 5/2*n**2.
(n - 4)*(n + 1)**4/8
Let j(a) be the third derivative of a**9/113400 - a**7/9450 + a**5/900 + 13*a**4/24 + 18*a**2. Let i(x) be the second derivative of j(x). Factor i(c).
2*(c - 1)**2*(c + 1)**2/15
Let x(g) be the second derivative of 3/2*g**2 + 5*g - 2/3*g**3 + 0 + 1/12*g**4. Factor x(f).
(f - 3)*(f - 1)
Let j(z) = -485*z**3 - 1475*z**2 - 105*z + 15. Let t(g) = 121*g**3 + 368*g**2 + 27*g - 4. Let f(o) = 4*j(o) + 15*t(o). Factor f(i).
-5*i*(i + 3)*(25*i + 1)
Let p(k) = k**2 - k - 2. Let l(q) = -5*q**2 + 3*q + 10. Let j(h) = -5*l(h) - 20*p(h). Factor j(m).
5*(m - 1)*(m + 2)
Let y(u) = 2*u**3 + 58*u**2 + 76*u + 36. Let x(s) = s**3 + 2*s - 1. Let