7*s**2 - 6*s**4 + 0*s**u - 3*s**4.
-3*s**2*(s + 1)*(3*s + 1)
Let z(v) = 111*v**2 - 117*v + 21. Let y(k) = 28*k**2 - 29*k + 5. Let w(b) = -15*y(b) + 4*z(b). Solve w(q) = 0 for q.
3/8, 1
Let l be -25*2*(-3)/15. Determine d, given that 2*d**2 + 23 - 24 - l*d + 9 = 0.
1, 4
Let t(j) be the second derivative of -2*j**7/21 + 4*j**6/15 + 4*j**5/5 - 8*j**4/3 + 36*j. Factor t(f).
-4*f**2*(f - 2)**2*(f + 2)
Factor 24/5*s**3 + 6/5*s + 0 + 9/5*s**4 + 21/5*s**2.
3*s*(s + 1)**2*(3*s + 2)/5
Let s(y) be the third derivative of -11*y**5/180 - 13*y**4/72 - y**3/9 + 2*y**2. Factor s(j).
-(j + 1)*(11*j + 2)/3
Suppose -n + 5 = -5*v, -2*n = -4*v - v - 5. Factor 3/2*d + 3/2*d**2 + n.
3*d*(d + 1)/2
Let q(s) be the third derivative of 5*s**8/336 - s**6/6 - s**5/6 + 5*s**4/8 + 5*s**3/3 + 22*s**2. Factor q(c).
5*(c - 2)*(c - 1)*(c + 1)**3
Factor -5*g - 202*g**2 + 197*g**2 - 2 + 12.
-5*(g - 1)*(g + 2)
Let y(h) be the third derivative of 4*h**2 + 0*h - 1/120*h**6 + 1/36*h**5 + 0*h**3 - 1/36*h**4 + 0. Let y(o) = 0. Calculate o.
0, 2/3, 1
Let z(a) be the second derivative of -3*a**5/20 + a**4/4 + 16*a. Determine i so that z(i) = 0.
0, 1
Factor -2*z + 14/9*z**2 + 4/9.
2*(z - 1)*(7*z - 2)/9
Let r(y) be the first derivative of -7 + 0*y - y**2 - 1/3*y**3 + 1/4*y**4. Let r(c) = 0. What is c?
-1, 0, 2
Let g(x) = x**5 - x**4 - x**3 + x**2 - 1. Let m(c) = 5*c**3 + c**3 + 5*c**4 + 3 - 3*c**2 + 4*c**4. Let k(v) = -3*g(v) - m(v). Factor k(p).
-3*p**3*(p + 1)**2
Factor v**2 + 6*v**4 - 7*v**2 + v**5 - 3*v**5 + 3*v - v**5.
-3*v*(v - 1)**3*(v + 1)
Let p be (1/1)/((-2)/(-4)). Let c(x) be the second derivative of 1/6*x**4 + x + 0 - 2*x**p - 1/3*x**3. Factor c(a).
2*(a - 2)*(a + 1)
Let j(c) = 3*c**2 + 6*c - 10. Let u(s) = -7*s**2 - 11*s + 19. Let g(m) = -3*m - 1. Let l be g(-4). Let r(b) = l*j(b) + 6*u(b). Factor r(a).
-(3*a - 2)*(3*a + 2)
Let x be (-294)/15 + (-12)/30. Let h = x - -26. Solve -h*u**2 - 21/2*u + 3 = 0 for u.
-2, 1/4
Let i be (-205)/(-15) - (-1)/3. Let w = -10 + i. Factor w*r**3 - 4*r**3 - 2*r**2 + r**3 + r.
r*(r - 1)**2
Determine h so that 4/3*h + 2*h**2 + 0 + 2/3*h**3 = 0.
-2, -1, 0
Let h(q) be the third derivative of -q**6/600 - q**5/300 + q**4/120 + q**3/30 + 7*q**2. Suppose h(b) = 0. What is b?
-1, 1
Let j(b) be the third derivative of 1/15*b**3 - b**2 + 1/60*b**4 - 1/300*b**6 + 0*b - 1/150*b**5 + 0. Suppose j(o) = 0. Calculate o.
-1, 1
Factor -7/3*z**5 + 4*z**4 + 0*z - 2/3*z**2 + 0 - z**3.
-z**2*(z - 1)**2*(7*z + 2)/3
Factor -34*d + 24 + 2*d + 4*d - 5*d**2 - 7*d**2.
-4*(d + 3)*(3*d - 2)
Let a(x) be the second derivative of 1/16*x**4 + 5/24*x**3 + x + 1/4*x**2 + 0. Let a(d) = 0. What is d?
-1, -2/3
Let s(o) = 116*o**3 - 6*o**2 - 69*o + 31. Let x(j) be the first derivative of 23*j**4/4 - j**3/3 - 7*j**2 + 6*j + 1. Let u(d) = 4*s(d) - 22*x(d). Factor u(b).
-2*(b + 1)*(3*b - 2)*(7*b - 2)
Let v(g) = -2*g**2 - 2*g + 1. Let x(d) = 5*d**2 + 5*d - 3. Let q(w) = -7*v(w) - 3*x(w). Let o be q(-2). Suppose -1/4*b + o - 1/4*b**2 = 0. What is b?
-1, 0
Let n = -22 + 26. Find g, given that 8*g + 12 - 27*g**5 + 6*g**2 - 27*g**2 - 18*g + 9*g**n - 14*g + 51*g**3 = 0.
-1, 2/3, 1
Suppose 4*w - 2*q = 266, 4*w + 7*q = 2*q + 259. Let g = w + -129/2. Let 2*c**2 + 0 - 4*c**3 + 0*c - 11/2*c**4 - g*c**5 = 0. What is c?
-2, 0, 1/3
Let n = 1/51 + 16/51. Let s = 3/35 + 26/105. Find h such that -n*h + 0 - s*h**2 = 0.
-1, 0
Let r(u) = 4*u - 3*u**4 - 2*u**4 + 4*u**4 - 5*u. Let p(k) = 4*k**4 + 6*k**3 + 6*k**2 + 4*k. Let w(x) = -p(x) - 2*r(x). Factor w(q).
-2*q*(q + 1)**3
Let v = 45/8 + -41/8. What is r in 1/2*r**2 + 0 + v*r = 0?
-1, 0
Let g be 302/8 - (-2)/8. Suppose -2*k + g = -4*j, 0 = -8*j + 3*j - 15. Solve 13 - k - 3*n**2 = 0.
0
Factor -1/3*h**3 + 0 - 1/3*h - 2/3*h**2.
-h*(h + 1)**2/3
Let u = -1631/24 + 68. Let h(g) be the first derivative of 0*g - 1/8*g**2 + 1/10*g**5 - 1/6*g**3 + u*g**6 + 0*g**4 + 2. Let h(z) = 0. What is z?
-1, 0, 1
Let o(b) be the second derivative of -b**4/24 - b**3 - 9*b**2 + 6*b. Determine m, given that o(m) = 0.
-6
Let w(v) be the first derivative of -v**8/5880 - v**7/2940 - v**3 + 3. Let l(c) be the third derivative of w(c). Find b, given that l(b) = 0.
-1, 0
Let u(g) be the third derivative of 7*g**6/80 - g**5/6 - g**4/16 + g**3/6 - 7*g**2. Factor u(q).
(q - 1)*(3*q + 1)*(7*q - 2)/2
Determine j so that 2/15*j**3 + 16/15 - 4/5*j**2 + 2/15*j**4 - 8/15*j = 0.
-2, 1, 2
Suppose 0 - 1/4*u**3 + u + 0*u**2 = 0. Calculate u.
-2, 0, 2
Let a(y) = 6*y - 2. Let m(i) = 7*i - 1. Let f(v) = 5*a(v) - 4*m(v). Let l be f(5). Find p, given that l*p**2 - 2*p + p**3 + p**3 - 4*p**3 = 0.
0, 1
Suppose 0 - 10/7*n**4 + 0*n**2 + 0*n + 12/7*n**3 + 2/7*n**5 = 0. What is n?
0, 2, 3
Let o(a) be the first derivative of a**3/4 + 15*a**2/8 + 13. Solve o(w) = 0.
-5, 0
Let s be 1*-4 - (-476)/120. Let d = 67/210 + s. Factor 0 - d*h**3 - 2/7*h**4 + 0*h + 2/7*h**2 + 2/7*h**5.
2*h**2*(h - 1)**2*(h + 1)/7
Let n(r) = 2*r**2 - 34*r + 200. Let z(o) = -2*o**2 + 35*o - 200. Let s(y) = 5*n(y) + 6*z(y). Factor s(h).
-2*(h - 10)**2
Let b be -2 - (-2 - 1/3). Suppose 5*s - 10 = -5*i, 0*i + 3*i - 6 = 0. What is l in 0*l + s - b*l**2 = 0?
0
Let u be 12/32*(-28)/9. Let k = 17/6 + u. Factor m**3 + 0 + 2/3*m - 1/3*m**5 - 1/3*m**4 + k*m**2.
-m*(m - 2)*(m + 1)**3/3
Let a(h) = -3*h**5 + 15*h**4 - 23*h**3 + 21*h**2 - 6*h. Let j(w) = w**3. Let y(b) = a(b) - 4*j(b). Determine f, given that y(f) = 0.
0, 1, 2
Let l(d) be the second derivative of -4/3*d**3 + 2/5*d**5 + 4*d**2 - 1/15*d**6 + 0 - d - 1/2*d**4. Let l(r) = 0. Calculate r.
-1, 1, 2
Let n = -2 + 4. Let t(g) = -g. Let a(b) = 2*b**2 - 10*b + 6. Let o(s) = n*t(s) - a(s). Factor o(v).
-2*(v - 3)*(v - 1)
Let f(z) be the second derivative of z**7/70 + z**6/50 - 3*z**5/50 - 58*z. Factor f(a).
3*a**3*(a - 1)*(a + 2)/5
Let p(h) be the third derivative of h**2 + 0 - 1/120*h**6 - 5/24*h**4 + 1/15*h**5 + 1/3*h**3 + 0*h. Factor p(s).
-(s - 2)*(s - 1)**2
Factor -2/3 + 1/3*k**2 + k + 1/3*k**4 - k**3.
(k - 2)*(k - 1)**2*(k + 1)/3
Let j = 239 - 237. Determine t so that -2/5 - 1/5*t**j + 3/5*t = 0.
1, 2
Let c be 12 + -9 + (-4 - -1). Let j(k) be the third derivative of 3/40*k**6 + 1/70*k**7 + 0 + 1/10*k**5 - 3*k**2 + 0*k + c*k**4 + 0*k**3. Factor j(z).
3*z**2*(z + 1)*(z + 2)
Let 0 + 1/7*n**2 - 1/7*n**4 + 0*n - 1/7*n**5 + 1/7*n**3 = 0. Calculate n.
-1, 0, 1
Let u = -120 - -126. Let c(z) be the third derivative of -1/150*z**5 - 1/60*z**4 + 4*z**2 + 1/300*z**u + 0*z + 1/15*z**3 + 0. Factor c(l).
2*(l - 1)**2*(l + 1)/5
Suppose 3*n + 3 = -3*z + 6, 11 = 5*n - z. Let p = 21 - 19. Factor 3*m - 3*m - m**p - n*m.
-m*(m + 2)
Suppose -3*n + 4 + 2 = 0. Solve 4*h - h**2 - 2*h**2 + 3*h**2 + n*h**2 = 0 for h.
-2, 0
Suppose 5*y**3 - 115*y + 17*y**2 + 33*y**2 + 0*y**2 + 60 = 0. Calculate y.
-12, 1
Suppose 2*z - 10 = j - 4*j, 4*z = -4*j + 16. Factor -2/3*p**j - 2 - 8/3*p.
-2*(p + 1)*(p + 3)/3
Let i = 141/4 - 35. Let -1/2 - i*o + 1/4*o**2 = 0. What is o?
-1, 2
Let z(h) be the third derivative of 0*h - 1/60*h**6 - 1/30*h**5 + 1/6*h**4 + 2*h**2 + 0 + 0*h**3. Factor z(m).
-2*m*(m - 1)*(m + 2)
Let i(x) be the second derivative of -x**6/120 - x**5/20 - x**4/16 + x**3/6 + x**2/2 + 11*x. Determine a so that i(a) = 0.
-2, -1, 1
Let o(t) be the first derivative of 5*t**6/6 + 3*t**5 + 15*t**4/4 + 5*t**3/3 - 9. Determine q, given that o(q) = 0.
-1, 0
Let i(n) be the first derivative of n**7/5040 + n**6/720 + n**5/360 + n**3 + 1. Let z(j) be the third derivative of i(j). Determine t, given that z(t) = 0.
-2, -1, 0
Let r(p) be the second derivative of p + p**2 - 1/60*p**5 + 0 + 1/6*p**3 + 0*p**4. Let k(s) be the first derivative of r(s). Let k(z) = 0. Calculate z.
-1, 1
Suppose 5*h + 10 = 6*d - 3*d, -d + 3*h = -6. What is i in d*i**4 + 6*i + 9*i**5 + 5*i**4 + 27*i**2 + 45*i**3 - 5*i**4 + 33*i**4 = 0?
-1, -2/3, 0
Let p(v) be the first derivative of -1/7*v**2 + 2/35*v**5 + 4/7*v + 1 + 1/14*v**4 - 2/7*v**3. Find j, given that p(j) = 0.
-2, -1, 1
Let m be (112/(-21) + 4)/(2/(-3)). Solve k - 1/3*k**m - 2/3 = 0.
1, 2
Let a = -204/5 + 212/5. Factor 0*y - a*y**3 - 2/5*y**4 + 0 - 8/5*y**2.
-2*y**2*(y + 2)**2/5
Let k(l) be the third derivative of 0 + 1/12*l**4 - 1/120*l**6 + 1/60*l**5 + 0*l**3 + 6*l**2 + 0*l. Solve k(i) = 0 for i.
-1, 0, 2
Suppose q = -9 + 3. Let n be q/21 + 64/28. Factor -10/9*z**3 - 16/9*z**n + 4/9 - 2/9*z.
-2*(z + 1)