0/7*v + 2/7*v**2 + m.
2*(v + 1)*(v + 4)/7
Let k(r) be the third derivative of 0*r + 1/8*r**4 - 1/40*r**6 + 1/70*r**7 + 0 - 11*r**2 - 1/20*r**5 + 0*r**3. Factor k(x).
3*x*(x - 1)**2*(x + 1)
Suppose 12/7*s**2 - 3/7*s**5 + 0 + 18/7*s**4 + 0*s - 27/7*s**3 = 0. What is s?
0, 1, 4
Let s = 240 - 240. Let k(h) be the first derivative of s*h + 2 + 2/3*h**3 + 0*h**2. Factor k(x).
2*x**2
Suppose q + 5 = -4*q, 0 = z - 5*q - 12. Factor 16 + 5*o - 8*o + 4*o**2 - z*o - 6*o.
4*(o - 2)**2
Let c(l) = 4*l**2 + 14*l + 17. Let j(m) = m**2 + 5*m + 6. Suppose b = -4*q + 24, 3*b = -3*q - 2*b + 18. Let d(h) = q*c(h) - 21*j(h). What is o in d(o) = 0?
-1, 8
Let p(x) = 31*x**4 + 142*x**3 + 173*x**2 + 60*x + 2. Let d(n) = 220*n**4 + 995*n**3 + 1210*n**2 + 420*n + 15. Let a(o) = -2*d(o) + 15*p(o). Solve a(t) = 0.
-4, -1, -3/5, 0
Let d(x) be the first derivative of x**7/21 - x**6/5 + x**5/5 + 21*x + 31. Let h(u) be the first derivative of d(u). Suppose h(v) = 0. What is v?
0, 1, 2
Let y(i) be the third derivative of -1/300*i**5 - 1/60*i**4 - 1/30*i**3 + 0*i + 4*i**2 + 0. Factor y(s).
-(s + 1)**2/5
Suppose -11 = 5*q + 4*i - 18, 0 = q + 2*i + 1. Factor -4/3*n**2 - 1/3*n**q - 2/3 - 5/3*n.
-(n + 1)**2*(n + 2)/3
Let n be -2*(-2 - 35/(-20))*6. Let z(v) be the second derivative of 0*v**n + 0 - 8*v + 1/60*v**4 - 1/10*v**2. Factor z(t).
(t - 1)*(t + 1)/5
Let p(b) be the second derivative of 2*b**6/75 + 3*b**5/50 + b**4/30 - 10*b. Determine h so that p(h) = 0.
-1, -1/2, 0
Factor 54*m + 11*m**2 + 13*m**2 + 46 + 6*m**3 - 19 - 3*m**4 - 12*m**3.
-3*(m - 3)*(m + 1)**2*(m + 3)
Let q be ((-1)/4)/(4*(-2)/160). Suppose 0 = 4*y + 16, 0*u + q*y = 3*u - 29. Factor -l**u + 3/2*l - 1/2*l**5 + l**2 - 3/2*l**4 + 1/2.
-(l - 1)*(l + 1)**4/2
Let d(n) = -42*n**4 - 46*n**3 + 2*n. Let w(a) = -a**5 - 168*a**4 - 185*a**3 + 9*a. Let g(s) = 9*d(s) - 2*w(s). Solve g(f) = 0 for f.
-1, 0, 22
Let m be (-6 - -3 - -1) + 117/52. Suppose 1/4 + m*l - 1/4*l**2 - 1/4*l**3 = 0. What is l?
-1, 1
Factor 1/3*u**3 - 227/3*u + 112/3*u**2 + 38.
(u - 1)**2*(u + 114)/3
Factor -102*l + 4*l**3 + 2*l**3 + 4*l**2 - 5*l**4 + 82*l - l**3 + 16*l**2.
-5*l*(l - 2)*(l - 1)*(l + 2)
Factor -12/5 + 3/5*m**2 + 1/5*m**3 - 4/5*m.
(m - 2)*(m + 2)*(m + 3)/5
Suppose -2*t + 0*u - 2*u = 66, -6 = 3*u. Let i = t + 43. Factor 8 - 17*k**2 + 12*k**2 - i*k + 9*k**2.
4*(k - 2)*(k - 1)
Let u(t) = 27*t**2 + 135*t + 285. Let z(o) = 16*o**2 + 0*o - 23*o**2 - 4*o - 30*o - 71. Let n(r) = 4*u(r) + 15*z(r). Factor n(s).
3*(s + 5)**2
Suppose 0 = -41*p + 82 + 41. Let b(i) be the third derivative of -1/60*i**5 + 0*i - 1/24*i**4 + 0 + 0*i**p + 8*i**2. Suppose b(x) = 0. Calculate x.
-1, 0
Let q(a) be the second derivative of 0 - 1/27*a**3 + 0*a**2 - 1/54*a**4 + 11*a. Factor q(w).
-2*w*(w + 1)/9
Let h(x) be the first derivative of -5 + 0*x**3 + 1/120*x**6 + 4*x + 1/48*x**4 + 0*x**2 - 1/40*x**5. Let t(j) be the first derivative of h(j). Factor t(b).
b**2*(b - 1)**2/4
Suppose -17*k = -6*k - 22. Let z(a) be the second derivative of 0 + 1/12*a**4 + 0*a**k + 1/3*a**3 - 5*a. Suppose z(u) = 0. Calculate u.
-2, 0
Let u(j) be the first derivative of 0*j**2 + 49/240*j**6 + j**4 + 2*j**3 + 0*j - 6 + 7/10*j**5. Let z(t) be the third derivative of u(t). Solve z(i) = 0.
-4/7
Let r = -1315 + 1315. Let b(z) be the third derivative of 0 - 1/12*z**5 + 5/4*z**4 - 15/2*z**3 - 10*z**2 + r*z. Factor b(d).
-5*(d - 3)**2
Let j(q) = -2*q**2 - 1. Let t(v) = -3*v**2 + 82*v + 1679. Let x(i) = 2*j(i) - t(i). Suppose x(s) = 0. Calculate s.
-41
Suppose 5*o + 122*j - 120*j - 32 = 0, 3*o - 20 = -2*j. Factor o*w - w**2 - 4 - 3/2*w**3 + 1/2*w**4.
(w - 2)**2*(w - 1)*(w + 2)/2
Suppose -12 = -4*s - 4. Let o = -2406 + 2409. What is j in 0 + 0*j - 1/7*j**s - 1/7*j**o = 0?
-1, 0
Suppose 0 = -2*t + 4*q + 10, 0 = -t - q + 6*q + 8. Find g such that -2/3*g + 0 + 1/3*g**4 - 4/3*g**t + 5/3*g**2 = 0.
0, 1, 2
Factor 45/2 + 85/4*n + 5*n**2.
5*(n + 2)*(4*n + 9)/4
Let q(k) be the first derivative of 4*k**3/21 - 236*k**2/7 + 13924*k/7 - 222. Factor q(g).
4*(g - 59)**2/7
Let f(p) be the first derivative of p**5/240 + 5*p**4/48 + 25*p**3/24 + 3*p**2 - 4. Let g(k) be the second derivative of f(k). Find r such that g(r) = 0.
-5
Let k(r) be the first derivative of -r**4/8 + 3*r**3/4 + 3*r**2 + 4*r - 1. Let p(l) be the first derivative of k(l). Determine z so that p(z) = 0.
-1, 4
Factor -24*y - 34*y + 78*y + 4*y**2.
4*y*(y + 5)
Let c(t) be the first derivative of t**5/10 - 3*t**4/8 + t**3/3 - 925. Solve c(j) = 0.
0, 1, 2
Let q(a) = -a**2 + 5*a + 8. Let f(h) be the third derivative of -h**5/60 + h**4/4 + 3*h**3/2 - 2*h**2. Let v = 3 + 4. Let g(m) = v*q(m) - 6*f(m). Factor g(y).
-(y - 1)*(y + 2)
Let c(s) be the first derivative of 2*s**6/3 + 4*s**5/5 - 21*s**4 - 60*s**3 + 161. Factor c(h).
4*h**2*(h - 5)*(h + 3)**2
Let t(f) = 3*f**3 + 100*f**2 + 38*f + 167. Let h be t(-33). Solve 12/13*r**3 - 2/13*r**4 + 24/13*r - 8/13 - 2*r**h = 0 for r.
1, 2
Let b(m) = -4*m**3 - 3*m**2 - m + 1. Let t be b(-1). Factor 40*p**2 - 5*p**t - 51*p + 11*p - 40*p.
-5*p*(p - 4)**2
Suppose -24*l**2 + 16*l**3 - 3*l - 4 + 19*l + 5*l**4 - 11*l**4 + 2*l**4 = 0. Calculate l.
1
Let s(i) = -2*i**2 + 4*i - 4. Let d be s(2). Let h be d/10*10/(-6). Factor 4/3 - 2/3*b**2 + h*b.
-2*(b - 2)*(b + 1)/3
Let m(u) be the first derivative of u**6/6 + u**5 + 3*u**4/4 - 5*u**3/3 - 2*u**2 + 118. Factor m(v).
v*(v - 1)*(v + 1)**2*(v + 4)
Let g be 45/405 - 53/(-9). Suppose 3/2*c**5 + 3 - g*c**2 + 3/2*c - 3*c**3 + 3*c**4 = 0. Calculate c.
-2, -1, 1
Factor 2/7 + 0*m - 2/7*m**2.
-2*(m - 1)*(m + 1)/7
Suppose 0 = 5*i - 3*v - 2 + 1, -2*v + 2 = -2*i. Suppose n + i*c = 3 - 9, 4*c = 2*n - 20. Find s, given that 0 + 0*s + 3/4*s**3 - 3/2*s**n = 0.
0, 2
Let n(m) = -m**2 + 4 + 0*m**3 + 9*m + 2*m**4 - m + 4*m**3 + 3*m**2. Let q(j) = -5*j**4 - 9*j**3 - 3*j**2 - 17*j - 9. Let b(r) = -9*n(r) - 4*q(r). Factor b(x).
2*x*(x - 2)*(x + 1)**2
Let z(t) = 5*t - 2. Let a = -16 - -18. Let g be z(a). What is d in 5*d + g*d**2 + 5*d - 23*d**2 - 4*d = 0?
0, 2/5
Suppose -3*t - w = -6, -4*w = -2*t + w + 4. Factor -1/4*n**t + 1/4*n**4 + 0 + 1/2*n - 1/2*n**3.
n*(n - 2)*(n - 1)*(n + 1)/4
What is s in 0 + 59/11*s - 1/11*s**2 = 0?
0, 59
Let s(t) be the second derivative of 30*t + 0 - 1/66*t**4 + 1/11*t**3 - 2/11*t**2. Factor s(x).
-2*(x - 2)*(x - 1)/11
What is y in 0 + 2/15*y**4 - 8/15*y**2 - 2/15*y**5 + 4/5*y**3 - 16/15*y = 0?
-2, -1, 0, 2
Find h, given that 0 + 33/2*h**2 - 15/2*h - 21/2*h**3 + 3/2*h**4 = 0.
0, 1, 5
Find u, given that -2/11*u**2 + 2/11*u**3 + 2/11*u**4 + 0*u + 0 - 2/11*u**5 = 0.
-1, 0, 1
Find f such that 13/5*f**2 + 1/5*f**5 + 4/5*f + 3*f**3 + 0 + 7/5*f**4 = 0.
-4, -1, 0
Let i(x) be the third derivative of -x**5/390 + 7*x**4/39 - 9*x**3/13 + 206*x**2 - x. Factor i(g).
-2*(g - 27)*(g - 1)/13
Let g be ((-3)/30)/(108/(-270)). Determine p, given that g*p**3 - 1/4 - 1/4*p + 1/4*p**2 = 0.
-1, 1
Let q = -19072/75 + 255. Let b = q - 1/25. Factor -2*n**3 + b*n**2 + 0 + 4/3*n.
-2*n*(n - 1)*(3*n + 2)/3
Let r(b) be the second derivative of -b**7/504 + b**5/6 - 3*b**4/4 - 11*b. Let k(c) be the third derivative of r(c). Factor k(q).
-5*(q - 2)*(q + 2)
Let v(a) be the first derivative of -a**4/10 - 10*a**3/3 - 68*a**2/5 - 88*a/5 + 164. Factor v(s).
-2*(s + 1)*(s + 2)*(s + 22)/5
Let g = 16978/95 - 3198/19. Determine y so that -14/5*y**4 - g*y**3 - 8/5*y - 54/5*y**2 + 8/5 = 0.
-2, -1, 2/7
Let h(v) be the second derivative of -2/3*v**3 + 0 + 36*v - 1/25*v**5 + 0*v**2 - 2/5*v**4. Solve h(k) = 0.
-5, -1, 0
Let u(d) = 97*d - 1. Let q be u(1). Let v be (-4)/2*(-15)/15. What is i in -37 - 7 + 9*i**3 - 55 + 66*i**v + q*i + 3 = 0?
-4, 2/3
Suppose -30 + 20*p**2 - 15*p**3 - 34 - 5*p**4 + 60*p + 97 - 33 = 0. Calculate p.
-3, -2, 0, 2
Let q be 3/(-9)*(-168)/14. Let n(k) be the third derivative of 1/30*k**5 + 0 - 3/28*k**4 + 2/21*k**3 - q*k**2 + 0*k. Find l such that n(l) = 0.
2/7, 1
Suppose 95*k - 94*k = 5. Find h such that -27*h + 40*h + 12*h + k*h**2 + 20 = 0.
-4, -1
Let b(v) = 23*v**3 + 119*v**2 + 4*v - 119. Let g(s) = 5*s**3 + 30*s**2 + s - 30. Let a(j) = -2*b(j) + 9*g(j). Factor a(r).
-(r - 32)*(r - 1)*(r + 1)
Let m = 49 - 46. Let t(n) be the first derivative of 6 - m*n - 1/2*n**3 + 9/4*n**2. Factor t(w).
-3*(w - 2)*(w - 1)/2
Let k(b) = -3*b - 4. Let s be k(-2). Suppose -n + 5*v = -3 + 9, 0 = -3*n + v + 10. Factor -