b + 2/1749. Factor m*r**2 + 7/2*r + 1/2.
(7*r + 2)**2/8
Let h be ((-1)/(4/(-5)))/((-6)/(-24)). Factor -4*m**2 - 28*m - 13 - 6*m**2 + 2*m**2 + h + 12*m**3.
4*(m - 2)*(m + 1)*(3*m + 1)
Let q(u) be the first derivative of -5*u**6/2 - 4*u**5 - 5*u**4/4 + 420. Factor q(n).
-5*n**3*(n + 1)*(3*n + 1)
Factor 3/5*t**3 + 0 + 6/5*t**2 + 0*t.
3*t**2*(t + 2)/5
Let f(q) be the second derivative of 0*q**3 - 2*q**2 - 1/66*q**5 - 1/55*q**6 + 5*q + 0 + 1/66*q**4. Let v(g) be the first derivative of f(g). Factor v(a).
-2*a*(3*a + 2)*(4*a - 1)/11
Suppose -3*a - 2*a = -5*m - 5, -10*a = -m - 46. Factor 0 + 0*f**2 + f**5 + 0*f + 1/3*f**3 - 4/3*f**m.
f**3*(f - 1)*(3*f - 1)/3
Let x = 13202/3 + -4349. Let k = -51 + x. Factor 1/3 + k*q + 1/3*q**2.
(q + 1)**2/3
Let t(m) be the first derivative of m**6/480 + m**5/32 + m**4/8 - m**3 - 7. Let k(h) be the third derivative of t(h). Factor k(z).
3*(z + 1)*(z + 4)/4
Let v(f) be the second derivative of -1/12*f**3 - 4*f + 1/24*f**4 + 0 - 1/2*f**2. Let v(w) = 0. What is w?
-1, 2
Let t(c) = c**3 - c**2 - c + 1. Let o(k) = -4*k**3 + 18*k**2 + 24*k + 2. Let g(b) = 2*o(b) + 12*t(b). Determine q, given that g(q) = 0.
-4, -1
Let c(s) = 25*s + 1729. Let x be c(-69). Factor 0*w - 14/3*w**3 + 0 + 4*w**2 + 2/3*w**x.
2*w**2*(w - 6)*(w - 1)/3
Let g(v) = -5*v**4 - 7*v**2 - 6*v + 6. Let i(m) = 2*m**2 + m - 1. Let s(j) = g(j) + 6*i(j). Factor s(w).
-5*w**2*(w - 1)*(w + 1)
Let c(v) be the third derivative of 2*v**7/315 + 23*v**6/180 + 5*v**5/18 - 287*v**4/36 - 49*v**3/3 - 12*v**2 + 6*v. Find p such that c(p) = 0.
-7, -1/2, 3
Let p = 24 + -22. Factor 4*m**2 + 279*m**3 - 276*m**3 - 4*m**p - 3*m**4.
-3*m**3*(m - 1)
Let v(j) be the third derivative of -j**5/15 - 10*j**4 - 600*j**3 - 2*j**2 - 18*j. Find n, given that v(n) = 0.
-30
Let h(z) = 10*z**2 - 17 - 36 + z - 18*z. Let k(i) = -5*i**2 + 9*i + 26. Let u(p) = -6*h(p) - 13*k(p). Factor u(b).
5*(b - 4)*(b + 1)
Solve 88 + 20/3*f**2 + 668/3*f = 0 for f.
-33, -2/5
Suppose 5/6*c**2 - 2/3*c**3 + 7/6*c - 1/3 = 0. What is c?
-1, 1/4, 2
Let p(m) be the first derivative of -1/180*m**5 - 1/18*m**3 + 0*m + 1 - 1/36*m**4 + 5/2*m**2. Let c(j) be the second derivative of p(j). Factor c(y).
-(y + 1)**2/3
Let w(m) = -5*m**3 - 48*m**2 - 172*m - 120. Let a(y) = 9*y**3 + 96*y**2 + 342*y + 240. Let q(o) = 3*a(o) + 5*w(o). Determine c so that q(c) = 0.
-20, -3, -1
Suppose -3*n + 4 = -g, -3*g + 0*n - n = 62. Let c = g - -21. Factor 4*w**2 - 5 + 2*w + c*w + 1 - 4*w**3.
-4*(w - 1)**2*(w + 1)
Let d(p) be the second derivative of 2/21*p**7 + 19/5*p**5 - 8*p**2 - 25/3*p**4 + 32/3*p**3 + 0 - 10*p - 14/15*p**6. Factor d(s).
4*(s - 2)**2*(s - 1)**3
Let o(h) = -h**5 - 3*h**4 + 5*h**3 + 3*h**2 - 6*h. Let d(p) = -3*p**5 - 5*p**4 + 10*p**3 + 5*p**2 - 12*p. Let j(i) = -2*d(i) + 5*o(i). Solve j(b) = 0.
-1, 0, 1, 2, 3
Let a(o) be the second derivative of 1/3*o**3 + 1/12*o**4 - 1/20*o**5 - 21*o + 0 + 0*o**2. What is f in a(f) = 0?
-1, 0, 2
Let m = -22 - -26. What is i in -2*i**m + 7*i**2 - 20 - 5*i**2 + 23*i**2 - 3*i**4 = 0?
-2, -1, 1, 2
Suppose -4*m + 12 = -4. Factor -2*c - 10*c**4 - c**2 - 9*c**m + 0*c**2 + 2*c**3 + 20*c**4.
c*(c - 1)*(c + 1)*(c + 2)
Suppose -11*t + 6*t + 30 = 0. Let k be ((-1)/t)/((-7)/63). What is v in 6*v + 0 - 6*v**2 + k*v**3 = 0?
0, 2
Let d(h) be the second derivative of -h**6/300 + h**5/25 - h**4/5 + 8*h**3/15 + 23*h**2 + 25*h. Let x(l) be the first derivative of d(l). Factor x(a).
-2*(a - 2)**3/5
Solve -3/2*z**3 + 1/4*z**4 + 3*z + 5/4*z**2 + 0 = 0.
-1, 0, 3, 4
Suppose 0 = -4*k - 4*c - c + 23, -2*k = -3*c + 5. Let u(q) = q**3 + 5*q**2 + 9*q + 1. Let t(y) = -y**3 - 5*y**2 - 10*y. Let g(o) = k*t(o) + 3*u(o). Factor g(j).
(j + 1)**2*(j + 3)
Let b(x) = -3*x**2 - 48*x + 128. Let j(k) = -2*k**2 - 24*k + 64. Let r(c) = 2*b(c) - 5*j(c). What is n in r(n) = 0?
-8, 2
Let w be 2/(-12) - (-143)/66. Factor 8*m**w + 0*m - 2*m**2 - m - 2*m**2.
m*(4*m - 1)
Suppose -3*v - o + 3 + 1 = 0, 0 = 4*v - 3*o - 14. Let h(f) = f**2 + 7*f + 6. Let x be h(-7). Factor x*d**2 + d**v - 4*d**2 + 0*d**2 + 6*d + 3.
3*(d + 1)**2
Let x(u) be the first derivative of 3*u**4/2 - 75*u**3 + 111*u**2/2 + 58. Factor x(h).
3*h*(h - 37)*(2*h - 1)
Let v(a) be the second derivative of 0 + 0*a**2 + 14*a - 2/3*a**4 - 8/3*a**3 - 1/21*a**7 + 1/15*a**6 + 3/5*a**5. Let v(h) = 0. Calculate h.
-2, -1, 0, 2
Suppose -3*o - 5*s + 1 = -0, -4*o - 3*s + 5 = 0. Suppose 4 = -o*t + 8. Suppose 7*j**2 + 4*j**4 - 6*j + 0*j**4 + 8*j**t - j**4 - 12*j**3 = 0. What is j?
0, 1, 2
Let x(j) be the first derivative of 3*j**4/16 - 15*j**3/4 + 9*j**2/2 + 21*j - 400. Let x(z) = 0. Calculate z.
-1, 2, 14
Let l(x) = x - 4. Let i = 15 - 8. Let j be l(i). Factor -2*s**4 - 8*s**j - 60*s**2 - 65*s**2 + 117*s**2.
-2*s**2*(s + 2)**2
Factor 7 - 415*z + 2*z**2 + 415*z - 25.
2*(z - 3)*(z + 3)
Let o(d) be the first derivative of 15*d**4/4 + 13*d**3/3 - d**2 + 53. Find h, given that o(h) = 0.
-1, 0, 2/15
Let z be (-4)/(-20)*45/42. Let s(v) be the first derivative of 0*v - 5 - z*v**4 + 2/7*v**3 + 2/35*v**5 - 1/7*v**2. Let s(y) = 0. What is y?
0, 1
Let n = 6 - 4. Suppose -n = 5*v + 28. Let f(t) = 2*t**2 - t + 2. Let z(r) = -9*r**2 + 5*r - 9. Let x(o) = v*z(o) - 26*f(o). Find b, given that x(b) = 0.
1
Suppose 2*m + 69 = 79. Let o(v) be the third derivative of 1/90*v**5 - 1/540*v**6 - 1/36*v**4 + 0*v + 1/27*v**3 + 0 - m*v**2. Determine p so that o(p) = 0.
1
Let d(t) be the first derivative of t**3/24 + t**2 - 9*t/2 - 217. Factor d(v).
(v - 2)*(v + 18)/8
Let n(r) be the third derivative of r**5/105 + 5*r**4/42 - 4*r**3/7 + 8*r**2. Factor n(w).
4*(w - 1)*(w + 6)/7
Suppose -3*w = 20 - 29. Determine l so that -3*l**w - l**3 - 22*l**2 + 18*l**4 - 2*l**3 + 6*l + 0*l**3 + 4 = 0.
-1, -1/3, 2/3, 1
Find y such that 4*y**2 - 2/5*y**3 - 56/5*y + 48/5 = 0.
2, 6
Let g(q) be the second derivative of q**8/3024 + q**7/945 - q**6/1080 - q**5/270 - 9*q**2/2 - 8*q. Let m(w) be the first derivative of g(w). Factor m(c).
c**2*(c - 1)*(c + 1)*(c + 2)/9
Let y(t) be the third derivative of 2*t**9/945 - t**8/175 + 3*t**7/700 - t**6/900 + 7*t**3/3 + 9*t**2. Let z(x) be the first derivative of y(x). Factor z(c).
2*c**2*(c - 1)*(4*c - 1)**2/5
Let b(v) be the first derivative of 26 + 100/21*v**3 - 4/7*v**4 - 12*v**2 + 36/7*v. Determine t, given that b(t) = 0.
1/4, 3
Let k(x) be the first derivative of x**3/3 - x - 155. Determine p so that k(p) = 0.
-1, 1
Let o(r) be the third derivative of r**6/180 + 46*r**5/45 - 187*r**4/36 + 94*r**3/9 + 2*r**2 - 3*r. Factor o(v).
2*(v - 1)**2*(v + 94)/3
Factor 21/4*z - 3/4*z**2 + 27/2.
-3*(z - 9)*(z + 2)/4
Let o = 337 + -333. Let i(s) be the first derivative of 0*s**2 + 4/21*s**3 - 1/14*s**4 + 0*s + o. Factor i(c).
-2*c**2*(c - 2)/7
Let y = -163371/7 + 23339. Suppose -2/7*h**2 + y + 2/7*h**3 - 2/7*h = 0. What is h?
-1, 1
Suppose 34 = 32*x - 30. Let i(q) be the third derivative of -1/270*q**5 + 1/27*q**3 + 0*q**4 + 0*q + 0 + 3*q**x. Factor i(n).
-2*(n - 1)*(n + 1)/9
Let m(k) be the first derivative of -5/3*k**3 + 5*k**2 + 3 - 5*k. Let m(w) = 0. Calculate w.
1
Let f(t) be the third derivative of 0*t + 0 - 1/3*t**4 + 1/15*t**6 - 21*t**2 - 2/105*t**7 + 0*t**5 + 2/3*t**3. Factor f(r).
-4*(r - 1)**3*(r + 1)
Let t be 21/(-35) - (564/(-90) + (-3)/(-3)). Factor -2/3*g**2 - t - 16/3*g.
-2*(g + 1)*(g + 7)/3
Suppose -118/5*h - 33/5 + 11*h**2 - 4/5*h**3 = 0. What is h?
-1/4, 3, 11
Let j = 246 + -8116/33. Let w(y) be the second derivative of 1/11*y**2 + y + j*y**3 - 7/66*y**4 + 0 + 2/55*y**5. Solve w(f) = 0 for f.
-1/4, 1
Solve 4/5 + 19/5*q + 11/5*q**2 - 4/5*q**3 = 0.
-1, -1/4, 4
Let j(w) be the third derivative of w**6/600 - 7*w**5/150 + 5*w**4/24 - 2*w**3/5 + 217*w**2 - 1. Factor j(u).
(u - 12)*(u - 1)**2/5
Determine f so that -64*f + 11*f - 40 + 20*f**3 - 15*f + 4*f**4 - 12*f**2 = 0.
-5, -1, 2
Let l = -3481389/20 - -174119. Let z = 249/5 - l. Solve 0 + 1/4*d + z*d**2 = 0.
-1, 0
Let d(q) be the first derivative of -q**4/12 + 2*q**3/3 - 2*q**2 + 16*q - 16. Let c(w) be the first derivative of d(w). Factor c(i).
-(i - 2)**2
Let r = -27 - -33. Let k be r*((-124)/(-60) + -2). Factor k*l**2 + 0*l - 2/5.
2*(l - 1)*(l + 1)/5
Let o(l) = 7*l**2 - 30*l - 18. Let g(s) = -13*s**2 + 58*s + 33. Let d(f) = 6*g(f) + 11*o(f). Factor d(a).
-a*(a - 18)
Let r(k) be the first derivative of -3*k**4/28 + k**3/7 + 85. Factor r(q).
