- 5. Let u be m(-2). Let n be u/65 - 8/(-10). Find j such that 6/5*j + 0 - 3/5*j**4 + n*j**2 - 6/5*j**3 = 0.
-2, -1, 0, 1
Let t be 3/(-2)*316/(-2133). Factor 0 + 0*n + t*n**4 - 4/9*n**3 + 2/9*n**2.
2*n**2*(n - 1)**2/9
Factor 0 + 1/5*h - 1/5*h**2.
-h*(h - 1)/5
Factor -16*z**3 + 33*z - 49*z - 4*z**3 + 32*z**2 + 6*z**4 - 2*z**4.
4*z*(z - 2)**2*(z - 1)
Let -21/4*p**4 + 27/4*p**3 + 3/2 - 27/4*p + 15/4*p**2 = 0. Calculate p.
-1, 2/7, 1
Let j(c) be the second derivative of c**5/30 - c**4/6 - 4*c**3/9 - 4*c. Find s, given that j(s) = 0.
-1, 0, 4
Let q(i) = 2*i**2 - 4*i + 5. Let b = -14 - -17. Let r(d) = -5*d**2 + 9*d - 11. Let p(a) = b*r(a) + 7*q(a). Determine v, given that p(v) = 0.
-2, 1
Factor -2/13*d**4 + 2/13*d**2 + 10/13*d**3 - 16/13*d - 2/13*d**5 + 8/13.
-2*(d - 1)**3*(d + 2)**2/13
Let m(d) = d**4 - 4*d**3 - d**2. Let g(f) = -6*f**4 + 21*f**3 + 6*f**2. Let k(l) = -4*g(l) - 21*m(l). Let k(j) = 0. Calculate j.
-1, 0, 1
Let -2*a**3 - 7*a**2 + 8 - 9*a**2 - 6*a**3 + 8*a**4 + 4*a**5 + 4*a = 0. Calculate a.
-2, -1, 1
Suppose 5*s = 3*s - 7*s. Determine w, given that 1/2*w**3 - 1/2*w**2 + s*w + 0 = 0.
0, 1
Let t(u) = -169*u**4 - 577*u**3 - 105*u**2 + 103*u + 35. Let h(g) = 42*g**4 + 144*g**3 + 26*g**2 - 26*g - 9. Let y(q) = 22*h(q) + 6*t(q). Solve y(s) = 0 for s.
-3, -1/3, 2/5
Let q(a) = a**2 - 3*a + 1. Let j be q(4). Suppose i = j, -3*f = -4*f - i + 8. Determine w so that 0*w**4 - f*w**4 + 4*w**3 - 2*w - 2*w**5 + 3*w**4 = 0.
-1, 0, 1
Let m(q) be the second derivative of q**8/13440 + q**7/2520 + q**6/1440 + q**4/6 - q. Let k(l) be the third derivative of m(l). Find w, given that k(w) = 0.
-1, 0
Let f = -175 + -129. Let u = f + 3348/11. Let -2/11*d**2 - 2/11 - u*d = 0. Calculate d.
-1
Suppose -17*n = -15*n - 4. Factor 1/3*r**n - 2/3*r + 1/3.
(r - 1)**2/3
Let q(f) be the first derivative of 5/2*f**2 - 35/8*f**4 - 1/4*f**3 + f + 1 + 49/20*f**5. Factor q(i).
(i - 1)**2*(7*i + 2)**2/4
Let m = 5 + -2. Suppose 0 = y + 2*a - m*a, 2*a = -2*y. Factor -2*c**3 - 1/2*c**2 - 3/2*c**4 + 0 + y*c.
-c**2*(c + 1)*(3*c + 1)/2
Let b be (2/(-6))/(3/(-135)). Let y = -12 + b. Find t such that 0*t**y + 0 + 0*t**2 - 4/7*t**4 - 10/7*t**5 + 0*t = 0.
-2/5, 0
Let s be -9*(-1)/6*2. Factor -9*n + 22*n**2 - 3 - 3 - 22*n**2 + 3*n**s.
3*(n - 2)*(n + 1)**2
Suppose 3 = -z - z - 3*i, -4*z = -4*i - 4. Let w(a) be the first derivative of z*a - 1 - 1/9*a**3 - 1/6*a**2. Suppose w(t) = 0. What is t?
-1, 0
Let u(i) = 2*i**4 + 13*i**3 - 5*i**2 - 13*i - 11. Let o(k) = -k**4 - 7*k**3 + 3*k**2 + 7*k + 6. Let g(h) = 7*o(h) + 4*u(h). Factor g(a).
(a - 1)*(a + 1)**2*(a + 2)
Let q(s) be the third derivative of -s**6/30 - 4*s**5/5 - 8*s**4 - 128*s**3/3 - 2*s**2. Factor q(o).
-4*(o + 4)**3
Let g(d) = -d**2 - 15. Let b(j) = -j**2 + j - 14. Let u = -6 - -1. Let c(y) = u*g(y) + 6*b(y). Suppose c(v) = 0. What is v?
3
Suppose -2*h + 4 = -l - 6, 5*h = l + 19. Factor h + 36*g**2 - 45/2*g + 24*g**3.
3*(g + 2)*(4*g - 1)**2/2
Suppose -4*x + 5*p + 13 - 48 = 0, x + 4*p = 7. Let z = -1 - x. Determine c so that -2/3*c - 1/3*c**2 + 0 + 4/3*c**3 + c**z = 0.
-1, 0, 2/3
What is a in a**2 - a - 2 + 18 - 3*a**2 - 3*a = 0?
-4, 2
Let q(f) be the third derivative of f**8/264 + 4*f**7/385 - f**6/165 - 7*f**5/165 - f**4/44 + 2*f**3/33 + 7*f**2. What is t in q(t) = 0?
-1, 2/7, 1
Suppose -7/6*g + 1/3*g**2 - 2/3 = 0. Calculate g.
-1/2, 4
Let o(m) be the first derivative of 1/24*m**4 - 1/6*m**2 + 3 + 0*m - 1/18*m**3. Factor o(g).
g*(g - 2)*(g + 1)/6
Let w(v) = -v**2 + v + 22. Let g be w(-4). Factor 1/3*m**3 + m - 1/3 - m**g.
(m - 1)**3/3
Let z(t) be the first derivative of -t**4/16 + t**3/4 - 3*t**2/8 + t/4 + 4. Factor z(s).
-(s - 1)**3/4
Let x = 81 + -392/5. What is n in -6/5*n**3 + 4*n**2 + n**5 - x*n**4 + 0 + 8/5*n = 0?
-1, -2/5, 0, 2
Let k(j) be the second derivative of 2*j + 0 - 1/66*j**4 - 1/33*j**3 + 0*j**2. Factor k(d).
-2*d*(d + 1)/11
Factor 8/3*i + 0 - 1/3*i**2.
-i*(i - 8)/3
Find a, given that -6/5*a**2 + 2/5*a**3 + 4/5*a + 0 = 0.
0, 1, 2
Suppose 2*h = -3*s + 18, 3*h - 14 + 5 = 0. Let u(m) be the second derivative of 1/3*m**3 + 0 + 0*m**2 + 3*m - 1/10*m**5 + 0*m**s. Factor u(g).
-2*g*(g - 1)*(g + 1)
Let f(i) = -4*i**3 - i - 1. Let m be f(-2). Let q = -163/5 + m. Factor -q + b + 1/5*b**3 - 4/5*b**2.
(b - 2)*(b - 1)**2/5
Let a be 21/(-49) + (195/63 - 0). Determine v so that a*v - 16/3 - 1/3*v**2 = 0.
4
Suppose 8/3 + 2/3*d**2 - 10/3*d = 0. What is d?
1, 4
Factor 4*b**2 - b**2 + b**2 + b**3 - 5*b**2.
b**2*(b - 1)
Let j = -4/33 + 31/165. Let g(z) be the second derivative of 0 - j*z**4 - 2*z - 1/3*z**3 - 2/5*z**2. Factor g(a).
-2*(a + 2)*(2*a + 1)/5
Let t(i) = i**2 + 7*i + 8. Let n be t(-6). Suppose -3*g + 6 = -n*j, -j + 6*j - 3*g = -6. Factor j - 2/9*h**2 + 4/9*h.
-2*h*(h - 2)/9
Let i(z) = 8*z**2 - z - 2. Let f(t) = 7*t**2 - 1. Let m(v) = 7*f(v) - 6*i(v). Factor m(n).
(n + 1)*(n + 5)
Suppose k = -k - 10. Let a be (-5)/4*2/k. Factor a*d**2 + 1/2*d + 0.
d*(d + 1)/2
Factor 1 + 27*a - 13*a - 2*a**3 - 2 + a**4 - 12*a.
(a - 1)**3*(a + 1)
Let n = 3/14 - -1/14. Suppose -5*x + 11 - 1 = 0. Suppose -n*c - 2/7*c**x + 4/7 = 0. Calculate c.
-2, 1
Let b be 1 + 4 - (-3)/(-1). Let k = -2/75 + 83/300. Factor 0*w - k*w**3 + 0 - 1/4*w**b.
-w**2*(w + 1)/4
Let l(h) be the first derivative of 16/15*h**5 + 5/9*h**6 + 1/6*h**4 + 0*h - 4/9*h**3 + 1 + 0*h**2. Factor l(b).
2*b**2*(b + 1)**2*(5*b - 2)/3
Let k = 184/285 - -2/95. Factor 0 + 5/3*d**2 - 2/3*d**3 - k*d.
-d*(d - 2)*(2*d - 1)/3
Factor 0 - 12/5*v**4 + 8/5*v + 32/5*v**3 - 28/5*v**2.
-4*v*(v - 1)**2*(3*v - 2)/5
Let n = -6 + 10. Suppose m = v + 4, -n*m - m + 14 = -2*v. Solve p**3 - m*p**2 + 2*p**3 - 6*p**2 + 20*p - 6*p**2 - 8 = 0 for p.
2/3, 2
Let x(c) be the first derivative of -c**6/18 + 4*c**5/15 - c**4/3 - 2*c**3/9 + 5*c**2/6 - 2*c/3 - 8. Solve x(g) = 0.
-1, 1, 2
Let y be (24/(-15) - -2) + 2/20. Let t(q) be the first derivative of 0*q**2 + 0*q - 4 + y*q**4 - 2/3*q**3. Factor t(j).
2*j**2*(j - 1)
Suppose 35*q = 37*q - 6. Factor -3 + 9*t - 39/4*t**2 + 9/2*t**q - 3/4*t**4.
-3*(t - 2)**2*(t - 1)**2/4
Let r = 61 + -85. Let a = r + 26. Factor -2/3*v**3 + 2/3*v + 4/3 - 4/3*v**a.
-2*(v - 1)*(v + 1)*(v + 2)/3
Let q(z) = -z**2 + 1. Suppose -3*d + 6 + 11 = -5*c, 0 = -2*c + 5*d - 3. Let v(w) = -3*w**2 + 2. Let a(p) = c*q(p) + 2*v(p). Factor a(k).
-2*k**2
Let y(b) be the second derivative of -b**7/112 + b**6/40 - 3*b**5/160 - 14*b. Let y(k) = 0. What is k?
0, 1
Find n such that 8/3*n**3 - 8/3*n**2 - 1/3*n**5 - 16/3*n + 1/3*n**4 + 16/3 = 0.
-2, 1, 2
Let g(n) be the second derivative of -n**5/10 + n**4/6 + 2*n**3/3 + 9*n. Determine q so that g(q) = 0.
-1, 0, 2
Suppose 2*d + 2 = -w, 3*w + d - 8 = 1. Suppose -3 - 9/2*b**3 - 39/4*b**2 - 9*b - 3/4*b**w = 0. What is b?
-2, -1
Let v(r) = -5*r**5 - 15*r**4 - 9*r**3 - 5*r**2 - 6*r. Let x(d) = 70*d**5 + 210*d**4 + 125*d**3 + 70*d**2 + 85*d. Let p(i) = -85*v(i) - 6*x(i). Factor p(z).
5*z**2*(z + 1)**3
Suppose 0*n**2 - 4/3*n + 4/3*n**3 + 0 = 0. Calculate n.
-1, 0, 1
Let f(k) be the third derivative of 5*k**8/336 - k**7/7 + 11*k**6/24 - k**5/6 - 5*k**4/2 + 20*k**3/3 + 9*k**2. Factor f(x).
5*(x - 2)**3*(x - 1)*(x + 1)
Let o(y) = -3*y**2 + y. Let j(c) = 7*c**2 - 3*c. Let k(t) = 2*j(t) + 5*o(t). Suppose k(m) = 0. What is m?
-1, 0
Let s be (-6 - 72/(-15))/(6/(-10)). Let 28/9*b**2 + 2/9 + s*b**4 + 32/9*b**3 + 4/9*b**5 + 4/3*b = 0. What is b?
-1, -1/2
Let g(w) be the second derivative of -w**7/126 + w**6/30 - w**5/30 - w**4/18 + w**3/6 - w**2/6 + 4*w. Factor g(l).
-(l - 1)**4*(l + 1)/3
Let d(k) be the third derivative of 0 + 0*k**4 - k**2 + 1/120*k**5 + 0*k**3 + 0*k. What is a in d(a) = 0?
0
Let b(w) be the first derivative of w**6/9 - w**4/2 + 4*w**3/9 - 1. Factor b(q).
2*q**2*(q - 1)**2*(q + 2)/3
Let h(i) be the third derivative of -i**7/420 - 7*i**6/240 - i**5/8 - 3*i**4/16 + 12*i**2. Factor h(q).
-q*(q + 1)*(q + 3)**2/2
Let o(u) = u**2 + u + 1. Let b be (6/(-9))/(2/3). Let f(c) be the third derivative of 3*c**5/20 + c**3 + 10*c**2. Let x(w) = b*f(w) + 6*o(w). Factor x(p).
-3*p*(p - 2)
Determine o so that -2/5*o**2 - 4/5*o**5 - 8/5*o**3 + 0*o - 2*o**4 + 0 = 0.
-1, -1/2, 0
Let p(h) be the third derivative of h**7/2940 + h**6/315 + h**5/105 - h**4/12 - 3*h**2. Let a(y) be the second derivative of p(y). Factor a(r).
2*(r + 2)*(3*r + 2)/7
Let n(c) be the second derivative of c