r 17*c**2 - 2 + 2*c**3 - 5*c**k - c - 10*c**2 - c.
2*(c - 1)*(c + 1)**2
Let u(k) be the second derivative of -7*k + 1/3*k**2 - 1/15*k**5 + 0 - 4/9*k**3 + 5/18*k**4. Find i such that u(i) = 0.
1/2, 1
Suppose -2*f + 7 = 1. Let i be (-3 + 4 + f)/2. Let n(t) = 4*t**2 + 2. Let d(r) = r**3 + 4*r**2 + r + 3. Let x(y) = i*d(y) - 3*n(y). Suppose x(k) = 0. What is k?
0, 1
Let x(r) be the first derivative of -5*r**6/6 + 4*r**5 - 5*r**4 - 44. Factor x(t).
-5*t**3*(t - 2)**2
Determine j, given that 11*j - 5*j - 4*j - 7*j**2 + 3*j**2 + 2*j**3 = 0.
0, 1
Let y(z) = -z - 9. Let w be y(-7). Let l = w - -4. Let 1/2*n**5 + 0*n**l - n**3 + 1/2*n + 0*n**4 + 0 = 0. What is n?
-1, 0, 1
Let n = -157 - -159. Let t(u) be the third derivative of 0 + 1/300*u**5 + 0*u**3 - 1/1050*u**7 + u**n - 1/600*u**6 + 1/120*u**4 + 0*u. Solve t(h) = 0 for h.
-1, 0, 1
Let q(z) be the third derivative of -z**10/302400 + 7*z**5/60 - 2*z**2. Let l(c) be the third derivative of q(c). Factor l(i).
-i**4/2
Suppose 0 = -0*b + 2*b. Suppose -h + 6*h = b. Solve -3*f - f**3 - 1 + 2*f**2 - 5*f**2 + h = 0.
-1
Let m(x) be the first derivative of x**5/70 - x**3/7 + 2*x**2/7 + 5*x - 4. Let u(f) be the first derivative of m(f). Factor u(k).
2*(k - 1)**2*(k + 2)/7
Let a(g) be the first derivative of -g**2 - 20*g - 4. Let k be a(-10). Factor 9*c**4 + k*c + 0 + 3*c**3 + 9*c**5 + 1/3*c**2.
c**2*(3*c + 1)**3/3
What is b in 3*b**3 + 104*b + 3*b**2 - b**5 - 106*b - b**4 - 2*b**2 = 0?
-2, -1, 0, 1
Let n(i) be the second derivative of -i**6/90 + i**4/18 - i**2/6 - 3*i. Factor n(j).
-(j - 1)**2*(j + 1)**2/3
Let o(x) = 2*x**2 - 7*x + 10. Let l(h) = -h**2 + h - 1. Let f(r) = -4*l(r) - 4*o(r). Determine q, given that f(q) = 0.
3
Let g(b) be the first derivative of 33*b**3 - 123*b**2/2 + 15*b - 1. Let m(j) = -25*j**2 + 31*j - 4. Let s(n) = 2*g(n) + 9*m(n). Factor s(i).
-3*(i - 1)*(9*i - 2)
Let u(k) = 13*k**3 + 4*k**4 - 2 + 8 + 12*k - 5*k**3 + 20*k**2. Let f(r) = 13*r**4 + 23*r**3 + 61*r**2 + 35*r + 19. Let g(l) = -2*f(l) + 7*u(l). Factor g(p).
2*(p + 1)**3*(p + 2)
Let v(g) be the first derivative of 0*g - 1/4*g**2 - 1/6*g**3 + 1. Factor v(x).
-x*(x + 1)/2
Let n be ((-3)/(-1))/(3 + 0). Suppose 0 = 2*x - n - 7. Solve -1/3*s**2 + 0 + 0*s - 2/3*s**3 - 1/3*s**x = 0.
-1, 0
Suppose -4*z + 0*r = -3*r - 65, -4*r - 60 = -4*z. Suppose j - y = 0, z = 5*j - 0*j + 5*y. Factor 0 - 1/3*o**4 + 1/3*o**j - 1/3*o**3 + 0*o + 1/3*o**5.
o**2*(o - 1)**2*(o + 1)/3
Let p(y) be the second derivative of 0*y**3 - 1/2*y**2 - y + 0 - 1/180*y**5 - 1/72*y**4. Let v(z) be the first derivative of p(z). Factor v(m).
-m*(m + 1)/3
Suppose 2*r + 2*t + 6 = -3*t, -2*r + t = 18. Let q = 8 + r. What is w in 4/7*w - 10/7*w**2 + q = 0?
0, 2/5
Let w(o) be the second derivative of o**6/240 - 3*o**5/40 + 9*o**4/16 - 5*o**3/6 + 6*o. Let u(x) be the second derivative of w(x). Factor u(n).
3*(n - 3)**2/2
Let z(c) be the first derivative of c**6/39 - 4*c**5/65 + 16. Find o, given that z(o) = 0.
0, 2
Let j(z) be the second derivative of -2*z**7/21 + 2*z**5/5 - 2*z**3/3 + 8*z. Suppose j(a) = 0. Calculate a.
-1, 0, 1
Let p(s) be the second derivative of 2*s**6/45 - s**5/5 - 55*s. Solve p(j) = 0 for j.
0, 3
Let u(y) be the third derivative of y**8/3360 - 2*y**7/525 + y**6/50 - 4*y**5/75 + y**4/15 + 2*y**2. Factor u(i).
i*(i - 2)**4/10
Let g(f) = f**3 - 13*f**2 + f - 10. Let x be g(13). Factor 2*b**2 - 6*b**5 + x*b**5 + 2*b**5 + 2*b**3 + 1 - 2 - b - b**4.
-(b - 1)**2*(b + 1)**3
Let n be 2/(-3)*(-2)/(-4)*0. Let d(x) be the second derivative of 0*x**4 + 0*x**3 + 0*x**2 - 1/80*x**5 + n + 3*x. Factor d(h).
-h**3/4
Let z(j) be the third derivative of j**6/360 - j**5/45 + j**4/24 + 39*j**2. Determine r, given that z(r) = 0.
0, 1, 3
Suppose 9*k**3 - 32*k + 140*k + 54 + 72*k**2 + 7*k**3 = 0. Calculate k.
-3/2
Let d be (1 - (-1 - -3)) + -2. Let h(p) = -p**2 + p + 1. Let t(i) = 3*i + 1. Let k(y) = d*t(y) + 6*h(y). Factor k(n).
-3*(n + 1)*(2*n - 1)
Let i(p) be the first derivative of 2*p**4 + 10*p**3/3 + 3*p**2 + 2. Let k(v) = 15*v**3 + 21*v**2 + 13*v. Let h(l) = 13*i(l) - 6*k(l). Factor h(g).
2*g**2*(7*g + 2)
Let r(q) be the second derivative of -1/3*q**3 - 1/18*q**4 + 2/3*q**2 - 4*q - 1/45*q**6 + 0 + 1/10*q**5. Solve r(i) = 0.
-1, 1, 2
Let x(c) be the third derivative of 0*c**5 - 1/180*c**6 + 3*c**2 + 0*c**3 + 0*c**7 + 1/72*c**4 + 0*c + 0 + 1/1008*c**8. Factor x(k).
k*(k - 1)**2*(k + 1)**2/3
Let j(x) be the third derivative of -x**7/42 + x**6/24 + x**5/12 - 5*x**4/24 - 19*x**2. Factor j(y).
-5*y*(y - 1)**2*(y + 1)
Find r such that 0 + 3*r**4 + 3/2*r + 15/2*r**3 + 6*r**2 = 0.
-1, -1/2, 0
Let l(b) = 2*b**5 - 6*b**4 - 4*b**3 + 4*b**2. Let w(a) = 3*a**5 - 13*a**4 - 8*a**3 + 8*a**2. Let d(j) = -5*l(j) + 2*w(j). Factor d(h).
-4*h**2*(h - 1)**2*(h + 1)
Let a(x) be the third derivative of -x**8/4200 + x**7/1050 - x**5/150 + x**4/60 - x**3/6 + 7*x**2. Let f(u) be the first derivative of a(u). Factor f(o).
-2*(o - 1)**3*(o + 1)/5
Let f(x) be the first derivative of -x**3/6 - x**2/8 + 19. What is b in f(b) = 0?
-1/2, 0
Let g(a) be the first derivative of -a**4/5 + 4*a**3/15 + 2*a**2 + 12*a/5 - 13. Let g(n) = 0. What is n?
-1, 3
Let b(x) be the third derivative of -x**6/40 + 3*x**5/10 - 3*x**4/2 + 4*x**3 + 9*x**2. Let b(p) = 0. What is p?
2
Factor -4/3*o**2 + 0*o + 2/3*o**3 + 0.
2*o**2*(o - 2)/3
Let t(i) be the first derivative of i**2 - 1/3*i**3 + i + 1/10*i**5 + 2 - 1/6*i**4. Let n(s) be the first derivative of t(s). Factor n(m).
2*(m - 1)**2*(m + 1)
Let c(n) be the second derivative of -n**6/90 - 3*n**5/40 - n**4/12 - 11*n**3/6 - 3*n. Let f(y) be the second derivative of c(y). Factor f(i).
-(i + 2)*(4*i + 1)
Let n be (-155)/(-6) - 3/(-6). Let t = n - 26. Find x such that t*x + 1/3*x**2 - 2/3 = 0.
-2, 1
Factor 10/3*z**5 + 6*z**3 + 0*z + 0 - 4/3*z**2 - 8*z**4.
2*z**2*(z - 1)**2*(5*z - 2)/3
Let a(i) = 7*i**3 - 4*i**2 + i - 4. Let j(h) = -48*h**3 + 27*h**2 - 6*h + 27. Let m = 21 + 6. Let l(f) = m*a(f) + 4*j(f). Solve l(o) = 0.
-1, 0, 1
Let f(a) be the second derivative of -7*a**5/30 + 22*a**4/9 - 25*a**3/3 + 6*a**2 - 2*a. Factor f(u).
-2*(u - 3)**2*(7*u - 2)/3
Let i(n) be the first derivative of -2/15*n**5 + 0*n**2 + 2/9*n**3 + 0*n**4 + 0*n + 1. Determine t, given that i(t) = 0.
-1, 0, 1
Let k(w) be the first derivative of -w**6/24 + 3*w**5/40 + w**4/4 - w**3/3 + 4. Let t(u) be the third derivative of k(u). Let t(o) = 0. Calculate o.
-2/5, 1
Let m(i) = i**2 - 5*i - 4. Let q be m(5). Let c = 7 + q. Factor -6*w**c + 4*w**4 - w + 5*w**5 + 4*w**2 - 2*w**5 - 4*w**5.
-w*(w - 1)**4
Let n(d) be the second derivative of d**7/294 - d**6/42 + d**5/14 - 5*d**4/42 + 5*d**3/42 - d**2/14 - 10*d. Factor n(h).
(h - 1)**5/7
Let p(c) be the third derivative of -c**4/24 - 5*c**3/3 + 10*c**2. Let g be p(-10). Factor 2/11*j**2 - 2/11*j + 2/11*j**3 - 2/11*j**4 + g.
-2*j*(j - 1)**2*(j + 1)/11
Let n(r) be the first derivative of -r**4/44 + r**3/33 - 32. Factor n(u).
-u**2*(u - 1)/11
Let l = 56 + -52. Factor 2*v**3 + 0*v + 0 - 4/3*v**2 - 2/3*v**l.
-2*v**2*(v - 2)*(v - 1)/3
Factor -6*n**2 - 2*n**3 - 5*n + 10*n**3 + 8 - 5*n + 2*n - 2*n**4.
-2*(n - 2)**2*(n - 1)*(n + 1)
Let x(j) be the first derivative of 0*j**2 + 1/2*j**3 - 1/8*j**4 + 0*j + 8. Determine l, given that x(l) = 0.
0, 3
Let p be ((-4)/(-6))/(4/12). Let c = p + 0. Factor -o**2 - 2*o**4 - o**2 + 2*o - c*o**3 + 4*o**2.
-2*o*(o - 1)*(o + 1)**2
Let h = 11 - 11. Factor 2/3*k**3 + 0*k + 2/3*k**4 + h*k**2 + 0.
2*k**3*(k + 1)/3
Let c(p) be the first derivative of p**5/50 - 2*p**4/15 + p**3/3 - 2*p**2/5 - 5*p - 2. Let t(i) be the first derivative of c(i). Let t(l) = 0. Calculate l.
1, 2
Let z be (-3 - 0) + -1 + 235/47. What is d in 1/4*d**2 + z - d = 0?
2
Let w = -54 + 56. What is o in 1/2*o - 3*o**3 - 3/2*o**5 + 0*o**w + 0 - 4*o**4 = 0?
-1, 0, 1/3
Let k be 46/(-4) + (-2)/4. Let x be (-50)/4*k/5. Determine o so that -32/3*o**2 - 4/3*o - 65/3*o**3 + x*o**5 + 11/3*o**4 + 0 = 0.
-1/2, -2/5, -2/9, 0, 1
Let d(n) = -n**4 + n**3 - n + 1. Let r(y) = -y**5 - 5*y**4 + 6*y**3 + 2*y**2 - 5*y + 3. Let c(i) = -4*d(i) + r(i). Factor c(u).
-(u - 1)**2*(u + 1)**3
Let y(s) be the first derivative of s**6/30 + s**5/15 - s**4/6 - 2*s**3/3 - 2*s**2 - 2. Let i(b) be the second derivative of y(b). Factor i(z).
4*(z - 1)*(z + 1)**2
Solve 68/3*c**3 + 44/3*c - 20/3*c**4 - 8/3 - 28*c**2 = 0 