f, given that 22/5*f - v*f**3 + 8/5*f**4 - 4/5 - b*f**2 = 0.
-2, 1/4, 1
Let k(p) = -4*p**2 + 52*p + 8. Let i(v) = -v**2 + 17*v + 3. Let l(q) = -16*i(q) + 5*k(q). Factor l(c).
-4*(c + 1)*(c + 2)
Let l = 35669/53490 + -3/17830. Factor 22/3*q - l*q**2 - 20/3.
-2*(q - 10)*(q - 1)/3
Suppose 2*d + 2 = -0. Let f be d/5 + 3390/75. Factor 11*a + 0 + 8 + f*a + 34*a**2 + 64*a**2.
2*(7*a + 2)**2
Let q = 101116/105 + -963. Let i(v) be the third derivative of -2/3*v**3 + 5/12*v**4 + 4*v**2 - 1/60*v**6 + 0 - 1/10*v**5 + q*v**7 + 0*v. Factor i(w).
2*(w - 1)**3*(w + 2)
Let z(a) be the third derivative of 0 - 1/21*a**4 - 2/7*a**3 - 8*a**2 + 0*a + 1/105*a**5. Let z(i) = 0. Calculate i.
-1, 3
Let c be (-103)/(-4*(-2 + 1)). Let q = c - -26. Find b, given that 0*b**2 - 1/4*b + 0 + q*b**3 = 0.
-1, 0, 1
Factor 111*y - 24*y**3 + 9*y**4 + 1 - 15*y + 63 - 5*y**4 - 17*y**2 + 21*y**2.
4*(y - 4)**2*(y + 1)**2
Let r(n) be the first derivative of n**8/630 - n**7/525 - n**6/900 + n**2 - 10. Let u(p) be the second derivative of r(p). Determine b, given that u(b) = 0.
-1/4, 0, 1
Suppose 2*v + 5 = -s + 15, 2*s = v. Suppose -3/2*x**4 - 1/2*x**5 + 0 + 0*x + 0*x**3 + s*x**2 = 0. What is x?
-2, 0, 1
Let n(g) be the third derivative of g**6/300 - 7*g**5/150 - 112*g**2. What is t in n(t) = 0?
0, 7
Suppose -5*u - q + 7 = 0, 5*q - 40 + 49 = -3*u. Factor u - w + 1/8*w**2.
(w - 4)**2/8
Let o(h) be the second derivative of h**5/150 - h**4/60 - 2*h**3/5 - 6*h**2 - 29*h. Let d(p) be the first derivative of o(p). Determine m so that d(m) = 0.
-2, 3
Let k(v) be the first derivative of 1/8*v**2 - 1/16*v**4 + 1/2*v - 1/6*v**3 - 2. Factor k(h).
-(h - 1)*(h + 1)*(h + 2)/4
Let f(d) be the second derivative of d**4/60 - 23*d**3/15 + 27*d - 5. Factor f(l).
l*(l - 46)/5
Let x be (12/(-9))/(8/(-54)). Determine w so that -3*w**5 + 340*w**2 - x*w**4 - 680*w**2 - 12 + 361*w**2 + 3*w**3 = 0.
-2, -1, 1
Suppose 312 = 5*k + 37. Let w = k + -54. Factor 5/4*s**3 + 1/4*s**4 - 5/4*s + 3/4*s**2 - w.
(s - 1)*(s + 1)**2*(s + 4)/4
Let k(j) be the first derivative of 175*j**6/12 + 19*j**5 - 71*j**4/4 - 68*j**3/3 + 39*j**2/4 + 9*j + 167. Solve k(w) = 0 for w.
-1, -2/7, 3/5
Suppose -81*x - 68 + 59 + 171 = 0. Factor 14/5*d**4 + 26/5*d**x - 8/5*d - 6*d**3 + 0 - 2/5*d**5.
-2*d*(d - 4)*(d - 1)**3/5
Let m(f) be the third derivative of 3/70*f**7 + 0*f**3 - f**4 + 15*f**2 + 0 + 0*f - 3/5*f**5 + 1/20*f**6. Let m(q) = 0. Calculate q.
-2, -2/3, 0, 2
Let v(g) be the third derivative of -g**6/4 + 41*g**5/30 + 5*g**4/4 - 3*g**3 + 8*g**2. Let v(c) = 0. Calculate c.
-3/5, 1/3, 3
Let s(p) = -p**3 + 4*p**2 + 12*p + 2. Let w = -36 - -42. Let t be s(w). Factor -2/5 + 4/5*m**3 + 6/5*m**t + 0*m.
2*(m + 1)**2*(2*m - 1)/5
Let g(z) be the third derivative of 1/1020*z**6 + 1/34*z**5 + 3*z**2 + 125/51*z**3 + 0*z + 25/68*z**4 + 0. Solve g(i) = 0.
-5
Let g = 7 - 3. Suppose w + 3 - g = -3*i, 2*w = -5*i. Factor 1 - d**2 - i*d**2 + 2 + 0.
-3*(d - 1)*(d + 1)
Let w = 8265 - 24794/3. Factor 0*c - w*c**2 + 1/3.
-(c - 1)*(c + 1)/3
Let n = 68 + -66. Determine g, given that -148*g**2 - n*g**4 + 4*g**4 + 154*g**2 + 6*g**3 + 2*g = 0.
-1, 0
Suppose -23*h + 903 = 857. Let -2/9*j**h - 32/9 + 16/9*j = 0. Calculate j.
4
Let a = 1 - 41. Let x be ((-327)/42 - -8)/((-3)/a). Let -8/7 - 16/7*o**2 - x*o - 4/7*o**3 = 0. Calculate o.
-2, -1
Suppose -64/3 + 0*q**2 - 80/3*q + 4/3*q**4 + 20/3*q**3 = 0. What is q?
-4, -2, -1, 2
Factor 722/11*j**3 - 38*j**2 - 32/11 - 272/11*j.
2*(j - 1)*(19*j + 4)**2/11
Let f(h) be the second derivative of h**6/120 + h**5/20 + 5*h**4/48 + h**3/12 + 56*h. Factor f(s).
s*(s + 1)**2*(s + 2)/4
Let p(g) be the third derivative of g**6/360 + g**5/20 - g**4/72 - g**3/2 - g**2 - 97. Find w, given that p(w) = 0.
-9, -1, 1
Let b(y) be the third derivative of -y**6/180 - 549*y**2. Factor b(c).
-2*c**3/3
Let a be (9/30)/(7 + 429/(-65)). Suppose -3/8 - 3/8*g + 9/8*g**5 - 15/8*g**4 - a*g**3 + 9/4*g**2 = 0. What is g?
-1, -1/3, 1
Let d(x) be the second derivative of -x**6/90 - 26*x**5/15 - 338*x**4/3 - 35152*x**3/9 - 228488*x**2/3 + 2*x - 57. Find f such that d(f) = 0.
-26
Let l(o) be the second derivative of o**4/3 + 8*o**3 + 235*o. What is q in l(q) = 0?
-12, 0
Let b be (0/2 - 6) + 6. Let i(o) be the third derivative of 0*o**3 + 0*o + b + 3*o**2 - 1/20*o**5 + 3/8*o**4. Factor i(r).
-3*r*(r - 3)
Let w(s) be the second derivative of 10/39*s**4 + 4/39*s**3 - 2/195*s**6 + 0 + 0*s**2 - 2*s - 1/39*s**7 + 21/130*s**5. Let w(n) = 0. What is n?
-1, -2/7, 0, 2
Let l be (4/5)/(9/45). Factor l*o**2 - 4*o**2 - o**2 - 5*o - 4.
-(o + 1)*(o + 4)
Factor -3*h**3 - 2*h - 2*h + 2*h**3 + 2*h**3 - h**4 + 8*h**2 - 4*h**2.
-h*(h - 2)*(h - 1)*(h + 2)
Let l = 16 - -36. Factor 4*d**3 - 20*d**3 + 6*d**4 - 51*d - l*d**2 + 6*d**4 + 27*d.
4*d*(d - 3)*(d + 1)*(3*d + 2)
Let u(x) be the first derivative of -x**6/6 - 3*x**5/5 + 3*x**4/4 + 7*x**3/3 - 3*x**2 + 257. Factor u(s).
-s*(s - 1)**2*(s + 2)*(s + 3)
Suppose -3*r = 9*r + 21 - 57. Factor 3/8*i**r + 3/4*i**2 - 15/8*i - 9/4.
3*(i - 2)*(i + 1)*(i + 3)/8
Let n be (30/(-160)*8)/(-1 + 0). Factor n*c + 3/2*c**2 + 0.
3*c*(c + 1)/2
Suppose -5 - 7*g - 9 + 2 - 3*g**2 - 5*g = 0. Calculate g.
-2
Let l = 9659/7 + -1377. Let n(w) = -2*w - 12. Let q be n(-8). Let 6/7*u**5 + 2*u - 6/7 - 2*u**q + l*u**2 - 20/7*u**3 = 0. What is u?
-1, 1/3, 1, 3
Let h(u) = 28*u**2 - 150*u - 1120. Let s(x) = -8*x**2 + 43*x + 320. Let n(p) = -5*h(p) - 18*s(p). Factor n(y).
4*(y - 10)*(y + 4)
Let v = 27959/10 + -13967/5. Let -v*j**2 - 5/2*j**3 + 0*j + 5/2*j**5 + 0 + 5/2*j**4 = 0. Calculate j.
-1, 0, 1
Suppose 28 = 4*w + 8. Let o be ((-13)/20 - (-9)/36)*-5. Suppose 4/9*y**o + 0*y**3 + 0 - 4/9*y**4 - 2/9*y**w + 2/9*y = 0. What is y?
-1, 0, 1
Let x(b) = b**3 + 23*b**2 - b - 7. Let s(k) be the third derivative of -11*k**5/60 + k**4/24 + k**3/2 + 2*k**2. Let h(d) = 14*s(d) + 6*x(d). Factor h(l).
2*l*(l - 2)*(3*l - 2)
Let z(d) be the second derivative of 0 + 1/96*d**4 + 4*d - 1/24*d**3 - 3/16*d**2. Suppose z(n) = 0. Calculate n.
-1, 3
Let f(j) = j**4 - j**3 + 3*j**2. Let k(o) = 3*o**4 - 6*o**3 + 51*o**2 + 54*o + 24. Let c(w) = 6*f(w) - k(w). Suppose c(v) = 0. What is v?
-2, -1, 4
Suppose 4*c + 2*p - 10 = 0, 0 = 5*c - 8*p + 4*p - 32. Suppose -y + 20 = 4*v, 5*y = -0*y + 5*v. What is a in a**4 + y + 5*a**4 - 2 - 4*a**2 - c*a**4 = 0?
-1, 1
Let b be (-5 - -1)/((-5)/(-20)). Let u = -11 - b. Factor -h**2 - h + 2*h - 2*h**2 + u*h.
-3*h*(h - 2)
Let f(w) be the third derivative of 0 - 1/80*w**5 - 7*w**2 + 0*w + 1/8*w**4 - 1/240*w**6 + 3/2*w**3. Let q(o) be the first derivative of f(o). Factor q(g).
-3*(g - 1)*(g + 2)/2
Let t(p) be the first derivative of -p**4/24 + p**2 + 6*p - 8. Let i(w) be the first derivative of t(w). Factor i(z).
-(z - 2)*(z + 2)/2
Let c(a) be the third derivative of a**8/84 - 2*a**7/35 - 35*a**2. What is o in c(o) = 0?
0, 3
Factor 14*u**2 - 28*u + 2451*u**4 - 2455*u**4 + 38*u**2 - 20*u**3.
-4*u*(u - 1)**2*(u + 7)
Let g(k) = -2*k - 4. Let b be g(-4). Let z be (-33)/(3960/112) + (-12)/(-9). Solve 0 + 2/5*t**b + 0*t + 0*t**2 - z*t**3 = 0 for t.
0, 1
Let i(f) = -f**5 + 9*f**4 - 12*f**3 - 4*f. Let c(b) = b**5 - 9*b**4 + 13*b**3 + 5*b. Let o(d) = 4*c(d) + 5*i(d). Factor o(z).
-z**3*(z - 8)*(z - 1)
Let u(y) = -y**2 - 1. Let m(w) = -5*w + 2*w**2 + 5*w - 2*w + 1 + 4*w. Let g be m(-2). Let l(t) = -6*t**2 - 3*t - 7. Let c(k) = g*u(k) - l(k). Factor c(d).
(d + 1)*(d + 2)
Let j(i) = -5*i**4 - 6*i**3 + 4*i**2 - 5*i + 1. Let v(z) = -z**2 + z**4 + 334 - 334 + z**3 + z. Let m(d) = 2*j(d) + 11*v(d). Find o such that m(o) = 0.
-1, 1, 2
Let f(i) = 22*i**4 - 109*i**3 + 778*i**2 - 1279*i + 607. Let m(z) = -7*z**4 + 36*z**3 - 259*z**2 + 426*z - 202. Let k(w) = 6*f(w) + 19*m(w). Factor k(n).
-(n - 14)**2*(n - 1)**2
Factor -66*v - 274 + 5*v**2 - 236 - 439*v.
5*(v - 102)*(v + 1)
Let l(n) be the first derivative of -5*n**3/3 - 230*n**2 + 94. Factor l(k).
-5*k*(k + 92)
Let -2*z - 4*z**2 - 7*z - 3*z + 16 = 0. What is z?
-4, 1
Solve -5/4*u - 3/4 - 1/4*u**5 + 1/2*u**2 + 3/2*u**3 + 1/4*u**4 = 0 for u.
-1, 1, 3
Let u be 2*(-32)/72 - (-1 - -1). Let q = 49/45 + u. Factor q*t**2 + 3/5 - 4/5*t.
(t - 3)*(t - 1)/5
Let p = 47/540 - -22/135. Factor 0*i - 1/2*i**2 + 0 + p*i**4 + 1/4*i**3.
i**2*(i - 1)*(i + 2)/4
Suppose -g + 4*d - 6 = 0, 3*g - 4 = -2*g + 3*d. Let q be ((-7)/g - -3)/(-2). Find l, given tha