- 3)/((-12)/(-6)). Factor p*n - 2/5*n**2 + 2/5.
-2*(n - 1)*(n + 1)/5
Let f(z) be the third derivative of 1/18*z**4 + 0 - 1/90*z**5 + 0*z - 1/9*z**3 + z**2. Factor f(m).
-2*(m - 1)**2/3
Let i = -1 + 4. Factor z**i - z**2 - 5*z**4 + 6*z**3 - z**2.
-z**2*(z - 1)*(5*z - 2)
Let d(h) be the third derivative of h**6/15 - h**5/15 - h**4/2 + h**2. Factor d(c).
4*c*(c + 1)*(2*c - 3)
Let q(z) = 28*z**2 + 20*z + 1. Let h(y) = -7*y**2 - 5*y. Let v = -6 + 8. Let t(n) = v*q(n) + 9*h(n). Factor t(b).
-(b + 1)*(7*b - 2)
Solve -76/3*s**2 + 4*s**4 - 20/3*s**5 + 68/3*s**3 + 0*s + 16/3 = 0.
-2, -2/5, 1
Let n(c) be the second derivative of c**6/120 + c**5/10 + 3*c**4/8 + 3*c**2/2 + 4*c. Let j(h) be the first derivative of n(h). Factor j(w).
w*(w + 3)**2
Let r = -4 + 6. Let f(i) be the first derivative of -2/3*i**3 + 0*i - 1/2*i**r - 1 - 1/4*i**4. Solve f(v) = 0 for v.
-1, 0
Let y(m) be the third derivative of m**9/6048 + m**8/1680 + m**7/1680 + m**3/6 - m**2. Let a(s) be the first derivative of y(s). Determine z so that a(z) = 0.
-1, 0
Let n(k) = -7*k**4 - 8*k**3 + 2*k - 5. Let m(y) = 6*y**4 + 7*y**3 - 2*y + 4. Let z be 3/6 - 13/2. Let j(f) = z*m(f) - 5*n(f). What is d in j(d) = 0?
-1, 1
Suppose 0 - 3/4*j - 5/4*j**3 + 1/4*j**4 + 7/4*j**2 = 0. What is j?
0, 1, 3
Let a(k) be the third derivative of k**7/280 - k**6/80 + k**5/80 + 17*k**2 - k. Factor a(y).
3*y**2*(y - 1)**2/4
What is j in -1/5*j**2 + 3/5 - 2/5*j = 0?
-3, 1
Let r(f) be the first derivative of f**2/2 + 6*f + 12. Let z be r(-6). Find p, given that 2/13*p**2 + 0 + z*p = 0.
0
Factor 8*g - 2*g**3 + 6*g**2 + 2*g - 884*g**4 + 882*g**4 + 4.
-2*(g - 2)*(g + 1)**3
Let m be (-1)/(-2) + (-7)/2. Let y be (-1)/(15/2)*m. Suppose -y*s**3 - 2/5*s + 4/5*s**2 + 0 = 0. What is s?
0, 1
Let d = 102/665 + -1/95. Find i, given that 0 + 0*i + 0*i**2 - d*i**3 = 0.
0
Let u(a) be the first derivative of a**3 + 3*a**2 + 3*a - 9. Factor u(s).
3*(s + 1)**2
Let y(m) = m + 10. Let v be y(-7). Factor w**5 + 3*w**4 + 4*w**3 + v*w**4 + w**5.
2*w**3*(w + 1)*(w + 2)
Let n(b) be the second derivative of b**6/120 + b**5/15 + 5*b**4/24 + b**3/3 + 5*b**2 + 10*b. Let q(k) be the first derivative of n(k). Factor q(l).
(l + 1)**2*(l + 2)
Let z(s) be the second derivative of -1/24*s**4 + 0 + s + 0*s**3 + 1/80*s**5 + 0*s**2. Factor z(q).
q**2*(q - 2)/4
Let b(w) be the second derivative of -w**4/24 - 3*w**3/4 - 56*w. Factor b(g).
-g*(g + 9)/2
Let t be ((-2)/6)/(-105 - 0) - 0. Let h(p) be the third derivative of -1/18*p**5 - t*p**7 + 0*p + 3*p**2 - 1/18*p**4 + 0 - 1/45*p**6 + 0*p**3. Factor h(s).
-2*s*(s + 1)**2*(s + 2)/3
Let n(q) be the third derivative of -q**6/120 + q**5/30 - q**4/24 + 2*q**2. Factor n(h).
-h*(h - 1)**2
Let n = -9 + 17. Factor -12*i**2 - 2*i**4 - 2 + n*i - 7*i**3 + 7*i**3 + 8*i**3.
-2*(i - 1)**4
Factor 2*q**2 + 2/3 + 2*q + 2/3*q**3.
2*(q + 1)**3/3
Let l = -3 - -1. Let z(y) = -4*y**3 - 3*y**2 + 6*y - 5. Let c(q) = q**3 + q**2 - q + 1. Let r(k) = l*z(k) - 6*c(k). Let r(o) = 0. What is o?
-2, 1
Factor -24/5*w + 36/5*w**2 + 3/5*w**4 + 0 - 18/5*w**3.
3*w*(w - 2)**3/5
Factor s + 3/2 + 1/6*s**2.
(s + 3)**2/6
Let t be 57/(-190)*(-16)/18. Let d(f) be the first derivative of 1 + 0*f + t*f**3 + 0*f**4 + 1/15*f**6 - 4/25*f**5 - 1/5*f**2. Solve d(v) = 0 for v.
-1, 0, 1
Let z = 6 - 4. Suppose -9 - 11 = -5*q. Solve -z*r**3 + 2*r**4 + 2*r**q - r**4 = 0 for r.
0, 2/3
Let g(b) = -2*b**2 - 4*b. Let i be g(-3). Let o = i - -9. Factor o - 3*r**2 + 6*r - 6*r.
-3*(r - 1)*(r + 1)
Suppose -p = -6*p + 10. Suppose p = -4*j + 6. Find m such that -j - 3/2*m - 1/2*m**2 = 0.
-2, -1
Let k(l) = -l**2 - 5*l - 1. Let v(y) = -y**2 + 8*y - 4. Let i be v(8). Let q be k(i). Suppose -16 + 0*s**q + s + 7*s + 6*s**3 + 20*s**2 = 0. What is s?
-2, 2/3
Let c(k) = 2*k**3 - 4*k**2 - 4*k. Let s be 6/(-8) - (-54)/8. Let q(w) = -2*w**3 + 5*w**2 + 3*w + 1. Let f(l) = s*q(l) + 7*c(l). Factor f(n).
2*(n - 1)**2*(n + 3)
Let i be -3*(-10)/72 - 7/28. Solve -i*s**2 + 1/3*s + 0 = 0.
0, 2
Let s = 25/58 + 2/29. Let v(n) be the first derivative of 3/8*n**2 + 0*n**3 - 1/16*n**4 - s*n - 4. Factor v(j).
-(j - 1)**2*(j + 2)/4
Let h be 0/(-1 + 0 + 0/(-3)). Factor 0 - 1/3*b**4 + 0*b**3 + 0*b**2 + h*b.
-b**4/3
Let j(f) be the third derivative of 1/240*f**5 - 1/120*f**6 + 1/24*f**4 - 1/24*f**3 + 3*f**2 + 0*f + 0. Determine m, given that j(m) = 0.
-1, 1/4, 1
Let m be (24/15)/(1 - 12/20). Let u(j) be the third derivative of -1/3*j**3 - 1/60*j**5 + 1/8*j**m + j**2 + 0 + 0*j. Solve u(k) = 0.
1, 2
Let y(t) = t**2 - 2*t + 3. Suppose 4*n + 8 = 0, 0 = b - 5*n - 11 - 2. Let s be y(b). Solve -4*c**2 - c + 2*c**5 - 2*c**4 - c + s*c**4 = 0 for c.
-1, 0, 1
Determine y so that 3 + 3/2*y - 3/2*y**2 = 0.
-1, 2
Find m such that -21/4*m**4 - 9*m + 2 + 17/2*m**2 + 25/4*m**3 - 5/2*m**5 = 0.
-2, 2/5, 1/2, 1
Suppose 4*k - 22 + 2 = 0. Suppose 3*d + 5*p + 5 = 0, -k*d - p = -6*p - 45. Factor 3/2*x - 1/2 - x**3 + 3/2*x**4 - x**2 - 1/2*x**d.
-(x - 1)**4*(x + 1)/2
Let t(f) be the first derivative of f**6/12 + 4*f**5/5 + 3*f**4 + 16*f**3/3 + 4*f**2 + 18. Suppose t(h) = 0. Calculate h.
-2, 0
Let t(j) be the second derivative of -j**7/294 + j**6/42 - 3*j**5/70 - j**4/21 + 4*j**3/21 + 2*j - 4. Determine d, given that t(d) = 0.
-1, 0, 2
Let f(q) be the third derivative of q**5/60 - 3*q**4/8 - 4*q**2. Let c be f(9). What is o in -2/3*o**2 - 1/3*o**4 + c*o + 0 - o**3 = 0?
-2, -1, 0
Suppose -w + 5 = 1. Factor 1 - 1 + 0 - 2*n**3 + 2*n**w.
2*n**3*(n - 1)
Suppose -8*l = -21*l. Determine c so that 1/2*c**2 - 1/2*c**3 + 0*c + l = 0.
0, 1
Let z be 2/(-4)*(-72)/3. Suppose 4*i = 4*g + z, -2*i - g = 3*g - 6. Determine u, given that -2*u**i + 2*u**3 - 2*u**2 + 2*u**3 = 0.
0, 1
Let k(a) = -11*a + 1. Let t be k(-1). Let h = 15 + -12. Factor 0 - 2 + 8*j + 2*j**2 - t*j**3 + 4*j**h.
-2*(j - 1)*(j + 1)*(4*j - 1)
Suppose 2*n**3 + 0 + 0*n + 4/3*n**4 + 8/9*n**2 + 2/9*n**5 = 0. What is n?
-4, -1, 0
Let o = -159 - -162. Let z(l) be the first derivative of 1 + 0*l + 1/12*l**o + 0*l**2. Find f, given that z(f) = 0.
0
Let q(z) be the first derivative of 3*z**5/40 - 51*z**4/32 + 45*z**3/4 - 81*z**2/4 - 81*z - 6. Suppose q(r) = 0. What is r?
-1, 6
Let d(c) be the third derivative of c**8/40320 - c**7/3360 + c**6/720 - c**5/20 + 3*c**2. Let f(u) be the third derivative of d(u). Factor f(j).
(j - 2)*(j - 1)/2
Factor -3/2 + 2*v - 1/2*v**2.
-(v - 3)*(v - 1)/2
Let t(c) be the second derivative of c**8/504 + c**7/315 - c**6/180 - c**5/90 - 4*c**2 - 2*c. Let g(j) be the first derivative of t(j). Factor g(f).
2*f**2*(f - 1)*(f + 1)**2/3
Let l be ((2 - 2)/3)/(-3). Factor -4/5*q**2 + 2/5*q**5 + 6/5*q - 8/5*q**3 + 4/5 + l*q**4.
2*(q - 2)*(q - 1)*(q + 1)**3/5
Let o(j) = j**2 + 11. Let y be o(0). Let t = y - 8. Factor 1/4*u - 1/4*u**t - 1/4*u**2 + 1/4.
-(u - 1)*(u + 1)**2/4
Factor 2/7*z**2 + 0*z + 0 + 4/7*z**3 + 2/7*z**4.
2*z**2*(z + 1)**2/7
Factor -6*i**2 - 18*i**3 - 8*i**2 + 5*i**3 - 5*i**2 - 11*i - 2 - 3*i**4.
-(i + 1)**2*(i + 2)*(3*i + 1)
Let m(w) = -4*w - 32. Let f be m(-9). Let b(g) be the first derivative of 0*g + g**5 + 1/3*g**3 - 2 + 2*g**f - g**2. Determine q so that b(q) = 0.
-1, 0, 2/5
Let o(h) be the third derivative of -3*h**8/28 + 2*h**7/21 + 16*h**6/135 + 4*h**5/135 + 50*h**2. What is r in o(r) = 0?
-2/9, 0, 1
Let d(m) = -29*m**3 + 44*m**2 - m - 14. Let x(r) = 59*r**3 - 89*r**2 + r + 29. Let q(i) = -9*d(i) - 4*x(i). Let q(u) = 0. What is u?
-2/5, 1
Let i(g) = -4*g**2 - g**4 - g + 4*g**4 + 2*g**3 + 4*g**2 - 4*g**5 - 3. Let b(c) = -7*c**5 + 5*c**4 + 4*c**3 - 2*c - 5. Let p(m) = -3*b(m) + 5*i(m). Factor p(y).
y*(y - 1)**2*(y + 1)**2
Factor 2*f**2 + 2/9*f**4 - 14/9*f - 10/9*f**3 + 4/9.
2*(f - 2)*(f - 1)**3/9
Let g(w) = w**3 - 4*w**2 - 6*w + 7. Let p be g(5). Let y be 1/(-1)*(-6 + p). Let -9*u**3 + 2*u + 0*u**2 - 15*u**5 + 5*u**2 - 2*u**3 - 29*u**y = 0. Calculate u.
-1, -1/3, 0, 2/5
Let j = -13/4 + 203/60. Let m(a) be the third derivative of -1/60*a**4 + 0 + 1/150*a**5 - j*a**3 - a**2 + 0*a. Factor m(f).
2*(f - 2)*(f + 1)/5
Let -2/7*a**2 + 1/7*a + 0 = 0. Calculate a.
0, 1/2
Let z be 48/15 - 4/20. Solve -8*k**z + 3*k**2 - k**2 + 7*k**3 - k = 0.
0, 1
Find h such that -20 - 335*h + h**2 - 6*h**2 + 315*h = 0.
-2
Suppose 2*y + 5 = 2*c - 9, 0 = 2*y - 3*c + 11. Let w be 16/(-10)*y/4. Factor f**2 - 4*f**w + 0*f**2 + 6*f**4 - 3*f**2 + 2*f**3 - 2*f.
2*f*(f - 1)*(f + 