t v(n) = 0.
-1, 3
Let k(y) be the third derivative of 0*y**5 + 0 + 1/60*y**6 + 0*y**3 + 0*y**4 + 0*y - 3*y**2. Factor k(u).
2*u**3
Let k = -4 - -6. Suppose 3*p - k = 13. Factor p*x**3 - 2*x**3 + 0*x**4 + 2*x**4 + 3*x**2 - x**4 + x.
x*(x + 1)**3
Let h be 3 + (-77)/(-21) + -6. Let 0 - 4/3*j**5 - 2*j**2 + 2*j**4 + 2/3*j + h*j**3 = 0. Calculate j.
-1, 0, 1/2, 1
Let x be (-1 + (-15)/6)/(-1). Let u be (-2)/4 + -5 + 6. Factor 5/2*h + u + 3/2*h**3 + x*h**2.
(h + 1)**2*(3*h + 1)/2
Suppose -3/2*z - 3/4*z**2 - 3/4 = 0. Calculate z.
-1
Let t(g) = g**3 - 7*g**2 + 7*g + 5. Let p(d) = 7*d**2 - 8*d - 6. Let k = 14 - 24. Let m be ((-9)/(-6) - 1)*k. Let f(y) = m*p(y) - 6*t(y). What is w in f(w) = 0?
0, 1/2, 2/3
Let x(h) be the third derivative of -h**6/1260 - h**5/420 + h**3/6 - h**2. Let w(u) be the first derivative of x(u). Determine f, given that w(f) = 0.
-1, 0
Let h(l) be the first derivative of -l**3/2 - 21*l**2/4 - 18*l + 53. Find p, given that h(p) = 0.
-4, -3
Let a be -4 - (-11)/4*2. Factor 0 + 3/2*f**5 - 3/2*f**3 - a*f**4 + 3/2*f**2 + 0*f.
3*f**2*(f - 1)**2*(f + 1)/2
Let y(n) be the third derivative of 2*n**7/135 - 11*n**6/90 + 13*n**5/45 - 7*n**4/54 - 4*n**3/9 - 20*n**2. Suppose y(d) = 0. Calculate d.
-2/7, 1, 3
Suppose 0 = 3*t + 5*d - 39, -2*d - 3 = -t - 1. Let q be (t/(-20))/((-2)/20). Factor 0*a**4 - 5*a**3 + 4*a**3 + a**2 - a**q + a.
-a*(a - 1)*(a + 1)**2
Factor 2/13*r**2 + 4/13*r + 2/13.
2*(r + 1)**2/13
Let n(l) = -2*l**2 - 2*l + 3. Let d be n(-3). Let i be (d/6)/((-1)/2). Determine g, given that -g**2 + 3*g**2 - g**i + 0*g - g = 0.
0, 1
Let s be (-3 - -5)/(-2 - -3). Solve 0*d**3 + 3/2 + 0*d - 3*d**s + 3/2*d**4 = 0 for d.
-1, 1
Let c(o) be the third derivative of -o**6/60 + o**5/30 + o**4/6 - 7*o**2. Factor c(r).
-2*r*(r - 2)*(r + 1)
Let j = -17 + 89/5. Determine p, given that -2/5*p**2 - j*p + 6/5 = 0.
-3, 1
Let z(t) be the third derivative of -7*t**5/180 + t**4/24 - 13*t**2. Factor z(h).
-h*(7*h - 3)/3
Let t(a) = -2*a**2 - 2 + 13*a + 8*a**2 - 13*a. Let u(i) = -i**3 + i**2 - 1. Let z(k) = -t(k) + 2*u(k). Factor z(l).
-2*l**2*(l + 2)
Suppose 2*l + 9 = 15. Factor 0*i**l - 1/6*i**5 + 1/6*i + 0 + 1/3*i**4 - 1/3*i**2.
-i*(i - 1)**3*(i + 1)/6
Let c(h) be the first derivative of -2*h**3/51 - 2*h**2/17 + 2. Factor c(p).
-2*p*(p + 2)/17
Let f(y) be the first derivative of y**4/2 - 36*y**3/7 + 96*y**2/7 + 64*y/7 - 3. Find p, given that f(p) = 0.
-2/7, 4
Let t(g) be the second derivative of -g**7/42 - g**6/10 - 3*g**5/20 - g**4/12 - g**2 - g. Let u(x) be the first derivative of t(x). Let u(v) = 0. Calculate v.
-1, -2/5, 0
Find z, given that -20/7*z**2 + 4*z + 4/7*z**3 - 12/7 = 0.
1, 3
Solve -k**4 + 2*k**2 - 4*k**3 - 19*k + 3*k**2 + 19*k = 0.
-5, 0, 1
Factor -29*g**5 + 4*g**4 + 8*g**2 + 27*g**5 - 10*g**4.
-2*g**2*(g - 1)*(g + 2)**2
Let m(l) be the first derivative of l**5/5 + 21. Factor m(g).
g**4
Find i, given that 8/3*i**4 + 0 - 82/3*i**3 - 6*i + 92/3*i**2 = 0.
0, 1/4, 1, 9
Let p = -3/254 - -133/508. Find g, given that 1/2*g**2 + 0*g**3 - 1/4 - p*g**4 + 0*g = 0.
-1, 1
Let j(s) = -s**4 - s**3 - 2*s**2 + 2*s. Let r(y) = 7*y - 3*y**3 + y**2 - 3*y**4 - 5*y**2 - 3*y**2. Let i(b) = -7*j(b) + 2*r(b). Determine p so that i(p) = 0.
-1, 0
Let f = 13/42 - -1/42. What is s in 16/3*s**2 + 8/3*s + f = 0?
-1/4
Let u(z) be the first derivative of 0*z**2 + 1/96*z**5 + 1 + 1/48*z**4 + 1/720*z**6 + 4/3*z**3 + 0*z. Let q(l) be the third derivative of u(l). Factor q(m).
(m + 2)*(2*m + 1)/4
Let i(k) = -k**2 + 5*k + 7. Let q = 0 - 4. Let n(w) = -w**2 + 2*w + 4. Let s(m) = q*i(m) + 7*n(m). Factor s(h).
-3*h*(h + 2)
Let g be -1*9 + 7 + -4. Let i = 9 + g. Determine x, given that 2/7*x**i - 2/7*x + 2/7*x**2 - 2/7 = 0.
-1, 1
Let l be 6/(-27) - 220/(-18). Let o = -1 + l. Factor 4*m + 3*m - 7*m**5 - 7*m + 16*m**4 - o*m**3 + 2*m**2.
-m**2*(m - 1)**2*(7*m - 2)
Let g = 275 - 5499/20. Let t(f) be the third derivative of 1/50*f**5 + 1/300*f**6 + 1/15*f**3 + 0 + 2*f**2 + g*f**4 + 0*f. Determine c, given that t(c) = 0.
-1
Let o(s) be the second derivative of 0 - 1/4*s**3 + 0*s**2 - 1/16*s**4 - 2*s. Determine c, given that o(c) = 0.
-2, 0
Find h such that 0 - 1/7*h**3 - h**2 + 0*h = 0.
-7, 0
Let i(q) be the first derivative of q**6/720 - q**5/240 - 5*q**3/3 + 1. Let p(s) be the third derivative of i(s). Find z, given that p(z) = 0.
0, 1
Let u(q) be the third derivative of -q**6/60 + q**5/10 - q**4/6 + 2*q**2. Factor u(g).
-2*g*(g - 2)*(g - 1)
Let s(h) be the first derivative of 3*h**4/28 + 2*h**3/7 + 3*h**2/14 - 7. Let s(y) = 0. What is y?
-1, 0
Let h(i) be the second derivative of i**5/60 - i**3/6 - 2*i**2 - 5*i. Let z(u) be the first derivative of h(u). Factor z(n).
(n - 1)*(n + 1)
Let b(i) = 8*i**2 + 80*i. Let l be b(-10). Factor 4/11*y - 6/11*y**2 + 2/11*y**4 + l + 0*y**3.
2*y*(y - 1)**2*(y + 2)/11
Let f(x) be the third derivative of x**6/1260 + x**5/420 + 2*x**3/3 + 5*x**2. Let d(v) be the first derivative of f(v). Factor d(g).
2*g*(g + 1)/7
Suppose -5*i + 5*c = 0, i = 3*i + 5*c - 14. Factor -4*h + 0*h + i*h - 3*h**2 - h.
-3*h*(h + 1)
Let z(u) = -105*u**2 + 285*u + 430. Let h(p) = 8*p**2 - 22*p - 33. Let m(r) = -40*h(r) - 3*z(r). Determine v so that m(v) = 0.
-1, 6
Let -4/5 - d**3 + 12/5*d - 3/5*d**2 = 0. What is d?
-2, 2/5, 1
Let l(z) be the first derivative of 0*z**3 + 0*z + 1/20*z**5 + 0*z**4 + 0*z**2 + 3. Factor l(u).
u**4/4
Let v(h) = -h**3 - h**2 - h + 1. Let y(r) = r**3 + 2*r**2 - r. Let w(k) = 4*v(k) - 4*y(k). What is l in w(l) = 0?
-1, 1/2
Let g(h) be the third derivative of 1/90*h**5 + 0 + 0*h + 0*h**4 + 0*h**3 - 3*h**2. Solve g(r) = 0 for r.
0
Let q(y) be the second derivative of -y**4/54 + y**3/27 + 2*y**2/9 - 2*y. Let q(o) = 0. What is o?
-1, 2
Find b, given that 4 + 16/3*b - 28/3*b**2 = 0.
-3/7, 1
Let p(q) be the second derivative of -1/100*q**5 + 0*q**6 + 0*q**2 + 0*q**4 + 0*q**3 + 1/210*q**7 + 2*q + 0. Determine b so that p(b) = 0.
-1, 0, 1
Let c(m) be the first derivative of -20*m**6/27 + 2*m**5/15 + m**4/9 - 10. Suppose c(a) = 0. What is a?
-1/4, 0, 2/5
Determine a, given that 0 + 4/7*a**3 - 2/7*a**5 + 2/7*a**4 + 0*a + 0*a**2 = 0.
-1, 0, 2
Let c(u) = -8*u**2 + 12*u - 24. Let a(h) = -h**2 - 1. Let z(n) = -6*a(n) + c(n). Find s such that z(s) = 0.
3
Let g(l) be the second derivative of 3*l + 1/6*l**4 - 3/2*l**2 + 0*l**3 - 1/30*l**5 + 0. Let d(k) be the first derivative of g(k). Factor d(n).
-2*n*(n - 2)
Let y(q) = -3*q**4 + 9*q**3 - 6*q**2 - 12*q + 3. Suppose -10*w = -15*w + 15. Let n(g) = -g**5 + g**4 + g**3 + g + 1. Let h(c) = w*n(c) + y(c). Factor h(v).
-3*(v - 1)**3*(v + 1)*(v + 2)
Let p(b) = -26*b**4 + 101*b**3 - 195*b**2 + 180*b - 71. Let m(d) = -9*d**4 + 34*d**3 - 65*d**2 + 60*d - 24. Let t(n) = 11*m(n) - 4*p(n). Factor t(a).
5*(a - 2)**2*(a - 1)**2
Let a(l) be the first derivative of -l**5/10 - 7*l**4/24 - l**3/9 - 61. Find n, given that a(n) = 0.
-2, -1/3, 0
Let f(r) be the third derivative of r**10/105840 - r**8/7840 + r**7/4410 + 7*r**4/24 - r**2. Let n(v) be the second derivative of f(v). Factor n(h).
2*h**2*(h - 1)**2*(h + 2)/7
Let f(x) be the third derivative of -1/30*x**4 + 0 + 0*x**3 - 8*x**2 + 0*x - 1/150*x**5 + 1/300*x**6. What is h in f(h) = 0?
-1, 0, 2
Suppose -2*o = 5*v - 4, -2*v + 8 = 3*o + o. Factor -c**3 + 1/2*c + 1/2*c**5 + 0 + 0*c**4 + v*c**2.
c*(c - 1)**2*(c + 1)**2/2
Let x(f) = 2*f**2 + 7*f - 30. Let k be x(-6). Factor 0 - 1/2*r**2 + 1/4*r**3 + k*r.
r**2*(r - 2)/4
Let n(j) = -3*j**2 - 3. Let m(x) = -7*x**2 + x - 5. Let f(i) = 6*m(i) - 13*n(i). What is q in f(q) = 0?
-1, 3
Factor -9/8*x**2 + 3*x + 3/8*x**4 - 3/4*x**3 - 3/2.
3*(x - 2)*(x - 1)**2*(x + 2)/8
Let w be -4 + ((-40368)/260)/(-6). Let p = 300/13 - w. Suppose -4/5*q**4 - 1/5*q**5 + 0 - 1/5*q - p*q**3 - 4/5*q**2 = 0. What is q?
-1, 0
Let 0 + 0*x + 0*x**2 - 1/4*x**3 = 0. Calculate x.
0
Let n(v) = -2*v**2 - 13*v. Let k(p) = 4*p**2 + 25*p. Let f(q) = 3*k(q) + 5*n(q). Factor f(j).
2*j*(j + 5)
Let x(g) = 7*g**3 + 3*g**2 + 3*g + 5. Let t(y) be the first derivative of 15*y**4/4 + 7*y**3/3 + 3*y**2 + 11*y + 3. Let b(l) = -6*t(l) + 13*x(l). Factor b(v).
(v - 1)**3
Let j(w) be the third derivative of w**5/20 - 5*w**4/2 + 50*w**3 + 28*w**2. Factor j(h).
3*(h - 10)**2
Let q(k) be the second derivative of 5*k + 0 - 1/42*k**4 + 0*k**2 - 2/21*k**3. Let q(j) = 0. Calculate j.
-2, 0
Suppose 33 = 4*p 