 0*i**2 + 0 - j*i**3 = 0.
-1, 0, 1
Let t = -716/21 - 18113/105. Let f = -206 - t. Factor -1/5*j**4 + f*j**2 + 2/5 - 1/5*j**3 + j.
-(j - 2)*(j + 1)**3/5
Let y(n) = 60*n**2 + 540*n + 445. Let j(l) = 5*l**2 + 45*l + 37. Let x(o) = -35*j(o) + 3*y(o). Factor x(d).
5*(d + 1)*(d + 8)
Let k = 27 - 15. Suppose 0 = -o - 10 + k. Factor 1/4*q**5 + 0*q**4 + 0 - 1/4*q**3 + 0*q + 0*q**o.
q**3*(q - 1)*(q + 1)/4
Let v(p) = -4*p**5 + 7*p**4 - 2*p**3 - 9*p**2 + 6*p + 2. Let n(g) = g**5 - g**4 + g**2 - g. Let a(b) = -5*n(b) - v(b). Let a(x) = 0. Calculate x.
-2, -1, 1
Let j = -5 + 7. Let m(g) be the first derivative of -g**j - 3 + 0*g - 1/3*g**3. Solve m(f) = 0.
-2, 0
Suppose -7*b = -b - 36. Let k(i) be the third derivative of 2*i**2 - 1/24*i**4 - 1/30*i**b + 0*i + 0*i**3 + 0 - 1/12*i**5. Find d such that k(d) = 0.
-1, -1/4, 0
Factor 10*h**3 - 18*h**4 + 8*h**2 - 3*h**2 + 23*h**4.
5*h**2*(h + 1)**2
Let u(i) be the third derivative of i**6/120 + i**5/30 - 4*i**2. Find w, given that u(w) = 0.
-2, 0
Let i(u) = 2*u**3 + 3*u**2 - 5. Let w(k) = -2*k**3 - 2*k**2 + 4. Suppose -110 = -5*a + 35. Suppose a - 9 = -5*n. Let h(r) = n*i(r) - 5*w(r). Factor h(f).
2*f**2*(f - 1)
Suppose -5*m + 12 = m. Let w(k) = -k**4 + k. Let a(z) = z**5 + 10*z**4 + 3*z**3 + z**2 - 7*z. Let h(x) = m*a(x) + 14*w(x). Factor h(b).
2*b**2*(b + 1)**3
Let x(q) be the first derivative of q**4/102 - 4*q**2/17 - 7*q - 8. Let v(b) be the first derivative of x(b). Determine g so that v(g) = 0.
-2, 2
Suppose z + 0*z - 3 = 0. Let m be 10/(-24) - z/(-4). Factor 0 + m*x**4 + 1/3*x - 1/3*x**3 - 1/3*x**2.
x*(x - 1)**2*(x + 1)/3
Let v(g) be the first derivative of -4/25*g**5 + 3/10*g**4 + 0*g - 2/15*g**3 + 0*g**2 + 3. Factor v(s).
-2*s**2*(s - 1)*(2*s - 1)/5
Let x = -114 - -117. Let q(l) be the third derivative of 0 + 0*l**3 + 1/105*l**7 + 0*l - 1/30*l**5 + 1/30*l**6 - 1/6*l**4 - x*l**2. Solve q(j) = 0 for j.
-2, -1, 0, 1
Let q(n) = -n**2 - 8*n - 6. Let d be q(-4). Find b, given that d*b + 5*b + 6*b**2 - b**2 + 3*b**3 + 6 + 7*b**2 = 0.
-2, -1
Let q(v) be the second derivative of -1/6*v**3 + 0 - 1/48*v**4 + v + 3/2*v**2 + 1/120*v**5. Let t(k) be the first derivative of q(k). Factor t(y).
(y - 2)*(y + 1)/2
Let x(j) be the second derivative of -1/25*j**5 + 0 + 1/30*j**4 + 2*j + 0*j**2 + 1/75*j**6 + 0*j**3. Factor x(n).
2*n**2*(n - 1)**2/5
Let q(l) be the third derivative of 3/4*l**5 + 0 + 5*l**2 - l**3 + 0*l + 13/8*l**4. Factor q(g).
3*(g + 1)*(15*g - 2)
Let g(l) be the first derivative of -2*l**3/27 + 7*l**2/9 + 25. Solve g(r) = 0.
0, 7
Let g(o) be the first derivative of 8*o**5/45 + 7*o**4/18 + 4*o**3/27 - o**2/9 + 9. Find c such that g(c) = 0.
-1, 0, 1/4
Let s be (-8)/30 + (-10)/(-15). Factor 0 + 0*n - s*n**2.
-2*n**2/5
Suppose -c = 4*w - 13, 5*c - 2 + 1 = -4*w. Suppose y = -w*y. Determine u, given that -18/5*u**3 - 2/5*u**2 + y + 4/5*u + 26/5*u**4 - 2*u**5 = 0.
-2/5, 0, 1
Let v = 8 + -6. Suppose v*a + 2 + 6*a + a**2 - 5*a + 0*a = 0. Calculate a.
-2, -1
Factor 1/4*y**2 + 0 + 1/4*y - 1/4*y**4 - 1/4*y**3.
-y*(y - 1)*(y + 1)**2/4
Suppose 15 = -5*v, 2*a - 4*a + 3*v = -21. Let w be (-2)/a*60/(-8). Determine x, given that 1/2*x**5 + 2*x**4 + 2*x**3 - 1 - w*x - x**2 = 0.
-2, -1, 1
Let g(v) be the second derivative of -v**4/4 - 2*v. What is y in g(y) = 0?
0
Let l(u) be the second derivative of -u**4/42 + u**3/21 + 2*u**2/7 - 19*u. Factor l(g).
-2*(g - 2)*(g + 1)/7
Let s(o) = o**3 - 1. Suppose 0 - 6 = -2*z. Let h be z/6*0 - 1. Let f(i) = i**4 - 6*i**3 + 5. Let d(r) = h*f(r) - 5*s(r). Factor d(t).
-t**3*(t - 1)
Let b(p) = p**2 + 1. Let h(v) = 2*v**2 + 2*v - 6. Let k(g) = 6*b(g) + h(g). Find y such that k(y) = 0.
-1/4, 0
Find c such that 0 + 8/5*c + 2/5*c**4 + 0*c**2 - 6/5*c**3 = 0.
-1, 0, 2
Let l(b) be the second derivative of -b**6/180 + b**5/90 + b**2/2 + 2*b. Let m(x) be the first derivative of l(x). Let m(s) = 0. What is s?
0, 1
Let s(x) = x**3 + 11*x**2 + x + 13. Let d be s(-11). Factor -u**d + 0*u + 0*u + u.
-u*(u - 1)
Let m(l) be the first derivative of 0*l + 25/4*l**4 - 3 + 10/3*l**3 + 1/2*l**2. Factor m(p).
p*(5*p + 1)**2
Let u(v) be the second derivative of v**8/2800 + v**3 + 5*v. Let d(q) be the second derivative of u(q). Factor d(b).
3*b**4/5
Let v(k) be the third derivative of -k**5/120 + k**4/48 - 7*k**2. Find n, given that v(n) = 0.
0, 1
Let i = -1086/65 + 225/13. What is u in 0 - i*u**3 - 1/5*u**4 + 0*u - 2/5*u**2 = 0?
-2, -1, 0
Suppose 4 = j + 4*d + 1, 0 = -d. Suppose 2*u - j = u. Find l such that -4*l + 2*l + l**u + l = 0.
-1, 0, 1
Let x = -1/472 - -133/7080. Let f(q) be the second derivative of 1/6*q**3 - 1/20*q**5 + 1/4*q**2 - x*q**6 + 0 + q + 0*q**4. Let f(o) = 0. Calculate o.
-1, 1
Let y(t) be the second derivative of -t**4/2 - 25*t**3/3 - 8*t**2 - 28*t. Factor y(b).
-2*(b + 8)*(3*b + 1)
Suppose -g - 1 = -7. Suppose g = 5*r - 3*r. What is d in 0 + 2/5*d**2 + 6/5*d**5 - 6/5*d**r - 2/5*d**4 + 0*d = 0?
-1, 0, 1/3, 1
Determine u, given that 2/9*u**4 + 4/3*u**3 + 26/9*u**2 + 8/3*u + 8/9 = 0.
-2, -1
Let y(l) = -7*l**3 + 3*l**2 - 10*l - 1. Let o(i) = -3*i**3 + 2*i**2 - 5*i. Let g(n) = 5*o(n) - 2*y(n). Factor g(p).
-(p - 2)*(p - 1)**2
Let f = 173 - 171. Find c, given that 52/3*c**2 + f + 32/3*c + 32/3*c**3 + 2*c**4 = 0.
-3, -1, -1/3
Let z(a) be the second derivative of -1/210*a**5 - a - 1/21*a**3 - 3/2*a**2 + 1/42*a**4 + 0. Let p(v) be the first derivative of z(v). Factor p(q).
-2*(q - 1)**2/7
Let w(o) be the first derivative of -2*o**6/3 - 36*o**5/5 - 7*o**4 + 12*o**3 + 16*o**2 - 45. What is p in w(p) = 0?
-8, -1, 0, 1
Let l(q) be the third derivative of -q**5/240 + q**3/6 + 19*q**2. Factor l(u).
-(u - 2)*(u + 2)/4
Let h(d) be the second derivative of -d**7/63 - 2*d**6/45 + d**5/15 + 4*d**4/9 + 7*d**3/9 + 2*d**2/3 + 11*d. Suppose h(s) = 0. What is s?
-1, 2
Suppose -5*v + 10*v = 20. Let s(q) = -11*q**2 - 11*q - 9. Let c(l) = 5*l**2 + 5*l + 4. Let r(n) = v*s(n) + 9*c(n). Suppose r(y) = 0. Calculate y.
-1, 0
Determine i so that -2/9*i**2 + 2/9*i + 4/9 = 0.
-1, 2
Let b(f) be the second derivative of f**4/9 - 16*f**3/9 + 32*f**2/3 - 16*f. Find i, given that b(i) = 0.
4
Let i(m) = -m**2 + 8*m - 1. Let u be i(7). Factor d**2 + 3*d**2 - u*d**2.
-2*d**2
Let s(z) be the third derivative of -z**8/336 + z**7/42 - z**6/12 + z**5/6 - 5*z**4/24 + z**3/6 + 8*z**2. Factor s(i).
-(i - 1)**5
Let u(v) be the second derivative of v**4/3 - 2*v**3/3 - 4*v**2 + 8*v. Factor u(x).
4*(x - 2)*(x + 1)
Let j(d) be the first derivative of d**7/105 + d**6/60 - 3*d**2/2 + 4. Let r(x) be the second derivative of j(x). Suppose r(v) = 0. What is v?
-1, 0
Factor -8*y**3 - 14*y + 4*y - 2*y**4 + 6*y - 10*y**2.
-2*y*(y + 1)**2*(y + 2)
Let a(z) = -z. Let n be a(-3). Suppose 0 = n*d + 2*d - 15. Let -2*t**2 + 2*t**d + 1 + 3*t**2 - 3*t**2 + t**4 - t**5 - t = 0. What is t?
-1, 1
Let k(v) be the second derivative of -v**6/45 + v**5/30 + v**4/6 - 5*v**3/9 + 2*v**2/3 + 3*v. Factor k(t).
-2*(t - 1)**3*(t + 2)/3
Suppose 5*d = -2*j - 1765, j - 25 = 6*j. Let r = -2453/7 - d. Factor 2/7*s**2 + r*s + 0.
2*s*(s + 2)/7
Suppose 1 - 21 = -5*k. Let g be 13/k - (-1)/(-4). What is a in -g*a**2 + 0*a + 2*a**2 + a = 0?
0, 1
Let a(g) = -8*g**2 - 6. Let c(i) = 15*i**2 + 11. Suppose -4 = -2*h + 8. Let s(q) = h*c(q) + 11*a(q). Factor s(f).
2*f**2
Solve 1/8*v**5 + 0 - 1/4*v**2 - 1/8*v + 0*v**3 + 1/4*v**4 = 0 for v.
-1, 0, 1
Let w = -19 - -39/2. Suppose 6 = g + 1, -5*g = -3*h - 19. Factor -w*j**h - j - 1/2.
-(j + 1)**2/2
Let i(g) = 2*g**3 - g**2 - g. Suppose -3*x - 3 = -2*x. Let w(o) = -3*o**3 + o**2 + 2*o. Let r(m) = x*w(m) - 5*i(m). Factor r(n).
-n*(n - 1)**2
Let -3/2*s - 9/4*s**2 - 3/4*s**3 + 0 = 0. Calculate s.
-2, -1, 0
Let a(b) be the third derivative of -b**5/105 + b**4/21 + 20*b**2. Find h such that a(h) = 0.
0, 2
Let c(y) be the first derivative of -y**6/8 - 3*y**5/4 - 27*y**4/16 - 7*y**3/4 - 3*y**2/4 + 6. Factor c(g).
-3*g*(g + 1)**3*(g + 2)/4
Determine u, given that 2/5*u**5 + 0 + 0*u**4 + 0*u**2 + 2/5*u - 4/5*u**3 = 0.
-1, 0, 1
Let m(b) be the third derivative of -1/210*b**6 + 1/105*b**5 + 0 - b**2 + 0*b**3 + 0*b + 0*b**4. Determine n so that m(n) = 0.
0, 1
Let i(d) be the third derivative of d**8/5880 + d**7/2940 - d**6/1260 - d**5/420 - d**3/2 - 2*d**2. Let u(t) be the first derivative of i(t). Factor u(a).
2*a*(a - 1)*(a + 1)**2/7
Let r(v) be the second der