p be (34/5)/(4/10). Suppose v = -5*d - p, 5*v - 11 + 0 = -d. Factor -4/7*l**v + 2/7*l**5 + 0 + 2/7*l + 0*l**2 + 0*l**4.
2*l*(l - 1)**2*(l + 1)**2/7
Let w(k) = k**2 + 321*k - 642. Let o be w(2). Let 36/5*c**3 - 2/5*c**2 - 18/5*c + 16/5*c**o + 4/5 = 0. What is c?
-2, -1, 1/4, 1/2
Let f be 0/(-11) + 21/35. Let g(w) be the first derivative of 0*w**3 + 5 + 0*w + 0*w**2 - f*w**5 - w**6 + 3/4*w**4. Solve g(l) = 0 for l.
-1, 0, 1/2
Let q(i) be the third derivative of -i**8/504 + 2*i**7/63 - 13*i**6/180 - 2*i**5/3 - i**4 + 6*i**2 + 6*i. Factor q(n).
-2*n*(n - 6)**2*(n + 1)**2/3
Factor 121 - 5/2*f**2 + 603/2*f.
-(f - 121)*(5*f + 2)/2
Let q = 91 + -16. Suppose -3*c + q = 2*c. Find y, given that -y**3 + c - 4*y**3 - 9*y**2 - 3 + 2*y**3 = 0.
-2, 1
Let a = -1235 + 1239. Let 96 - 33/2*f**3 - 24*f - 54*f**2 - 3/2*f**a = 0. Calculate f.
-4, 1
Suppose -2*q = 2*f + f + 4, 5*f + 4*q + 8 = 0. Let v(l) be the third derivative of l**2 + 1/210*l**5 + 0 + f*l**4 + 0*l + 0*l**3. Factor v(s).
2*s**2/7
Let s(d) be the second derivative of -d**4/36 + d**3/3 + 7*d**2/6 - 5*d + 2. Suppose s(f) = 0. What is f?
-1, 7
Let p = 20500366/52005 - -1/10401. Let n = 396 - p. Factor 66/5*z**3 + 3*z**5 + 6/5 - n*z - 54/5*z**4 - 24/5*z**2.
3*(z - 1)**4*(5*z + 2)/5
Let r(v) be the third derivative of v**7/2520 + v**6/240 + v**5/60 - v**4/3 - 5*v**2. Let b(d) be the second derivative of r(d). Let b(j) = 0. What is j?
-2, -1
Let b(p) be the third derivative of 0*p - 1/315*p**7 + 0*p**3 + 1/1008*p**8 + 0*p**6 - 1/72*p**4 + 0 - 19*p**2 + 1/90*p**5. Find m, given that b(m) = 0.
-1, 0, 1
Let z = 3433/12 - 286. Let v(p) be the third derivative of 0 + 1/60*p**5 - z*p**4 + 0*p + 7*p**2 + 1/6*p**3. Factor v(m).
(m - 1)**2
Let h(y) be the second derivative of y**5/4 - 15*y**3/2 + 180*y. Factor h(n).
5*n*(n - 3)*(n + 3)
Let x(i) be the third derivative of i**7/42 + 13*i**6/24 - 2*i**2 - 15. Factor x(b).
5*b**3*(b + 13)
Let n(f) = f**3 - f**2 - 3*f - 1. Let p(v) = 2*v**3 + 6*v**2 + 7*v + 3. Let h(x) = -6*n(x) - 2*p(x). Factor h(j).
-2*j*(j + 1)*(5*j - 2)
Let v be (20/(-14) - -1) + (-998)/(-2394). Let q = v + 356/1197. Factor q*m + 0 - 2/7*m**3 + 0*m**2.
-2*m*(m - 1)*(m + 1)/7
Determine r, given that 0 + 0*r - 2*r**2 - 2/9*r**3 = 0.
-9, 0
Let j(w) = 6*w**2 - 4*w + 2. Let h(z) = 7*z**2 - 4*z + 3. Let m = -3 - -6. Let b(g) = m*j(g) - 2*h(g). Factor b(a).
4*a*(a - 1)
Factor 2/9*x**3 + 4/9*x**2 - 2/3*x + 0.
2*x*(x - 1)*(x + 3)/9
Suppose -5*j + o = 4*o - 15, 4*j + 2*o - 12 = 0. Factor u**4 - 1 + 2*u**3 - j*u - 9*u + 10*u + 0*u**4.
(u - 1)*(u + 1)**3
Let d(l) = 2*l**2 + 6*l + 1. Let p = 101 - 96. Let t(h) = -3*h**2 - 11*h - 1. Let m(o) = p*d(o) + 3*t(o). Suppose m(y) = 0. Calculate y.
1, 2
Let i(l) be the second derivative of -2*l + 0*l**2 - 1/16*l**4 + 0 + 3/8*l**3. Factor i(t).
-3*t*(t - 3)/4
Let q(p) be the first derivative of -4*p + 13*p**2 + 1 - 52/3*p**3 + 15/2*p**4. Solve q(r) = 0 for r.
1/3, 2/5, 1
Factor 470*n**3 - 5*n**4 + 16254*n - 3728*n + 8634*n - 11500*n**2.
-5*n*(n - 46)**2*(n - 2)
Let v(q) be the third derivative of q**8/13440 + q**7/5040 - q**4/6 + 4*q**2. Let z(u) be the second derivative of v(u). Factor z(n).
n**2*(n + 1)/2
Let i be 1/(-9) + 86/720. Let v(r) be the third derivative of -i*r**6 + 0*r - 6*r**2 + 0 + 1/10*r**5 + 4/3*r**3 - 1/2*r**4. Factor v(q).
-(q - 2)**3
Let h = 1191 + -1191. Determine i, given that h*i + 0 + 0*i**2 - 2/11*i**3 = 0.
0
Let r be (-30)/105 + (-51)/(-7). Let b be ((-28)/(-49))/(1/r). Find f such that -62*f + 31*f - 27*f**3 + 19*f - 6*f**b - 36*f**2 = 0.
-2, -1/2, 0
Let b(k) be the third derivative of -k**5/180 - 13*k**4/36 + 3*k**3/2 - 593*k**2. Let b(y) = 0. Calculate y.
-27, 1
Suppose -40*p = -35*p, -2*p - 12 = -4*v. Suppose v*g - 50 = -22*g. Factor 0 + 14/17*w**g - 4/17*w + 8/17*w**3.
2*w*(w + 2)*(4*w - 1)/17
Suppose -58*d + 283 = -123. Let b(v) be the second derivative of -1/12*v**3 - 1/4*v**5 - d*v + 0*v**2 + 0 + 7/24*v**4. Let b(u) = 0. What is u?
0, 1/5, 1/2
Let i(n) = 7*n**3 + 28*n**2 + 23*n. Let y(d) = -16*d**3 - 55*d**2 - 44*d. Let r(z) = -5*i(z) - 2*y(z). Let r(l) = 0. What is l?
-9, -1, 0
Let s = 4512 + -4512. Let y be (-1 + 4/5)*-4. Suppose 0*w + 0 + s*w**2 - y*w**3 + 2/5*w**4 = 0. What is w?
0, 2
Determine v so that 70/3*v**2 + 0 - 85/6*v**3 - 10*v + 5/2*v**4 = 0.
0, 2/3, 2, 3
Let a(p) be the second derivative of -p**5/70 + p**4/42 + p**3/21 - p**2/7 + 91*p. Factor a(q).
-2*(q - 1)**2*(q + 1)/7
Suppose -74*m - 2 = -72*m. Let x be (8/(-12)*6 + 4)/m. Factor -1/5 + x*f + 1/5*f**2.
(f - 1)*(f + 1)/5
Let f be (-7)/(833/(-1802)) + -14. Suppose 10/7*u**3 + f - 16/7*u - 2*u**2 = 0. What is u?
-1, 2/5, 2
Suppose -2/5*a**3 + 0*a + 0 + 12/5*a**2 - 2/5*a**5 - 8/5*a**4 = 0. What is a?
-3, -2, 0, 1
Suppose -14 = -8*d + 26. Suppose -4*o - 10 = 3*p, d*o + 14 + 6 = 0. Factor -2/3 - 4/3*t + 5/6*t**p.
(t - 2)*(5*t + 2)/6
Let u(q) be the third derivative of -2*q**7/315 - 13*q**6/90 - 16*q**5/15 - 2*q**4 - 3*q**2 - 5. Factor u(p).
-4*p*(p + 1)*(p + 6)**2/3
Let t(d) be the first derivative of -15*d**3 - 91*d**2/2 - 18*d - 2. Factor t(u).
-(5*u + 9)*(9*u + 2)
Let n(f) be the first derivative of f**8/1008 + f**7/630 - f**6/120 - f**5/36 - f**4/36 - 25*f**2/2 + 6. Let q(k) be the second derivative of n(k). Factor q(s).
s*(s - 2)*(s + 1)**3/3
Suppose -2*b + 4*h - 2*h + 34 = 0, 0 = -4*b - 3*h + 33. Let d be (-9)/b*(-16)/14. Factor d + 2/7*n**2 + 8/7*n.
2*(n + 1)*(n + 3)/7
Let u(t) = 4*t + 0 + 21*t**2 - 2*t - 2 - 7*t**2. Let y be u(1). Factor n**3 + 2 + 7*n**5 - 8*n**3 + 5*n**3 - 2*n**3 - 3*n + 12*n**4 - y*n**2.
(n - 1)*(n + 1)**3*(7*n - 2)
Let g be ((-62)/35 - -2)*5. Factor 0*o**2 + 0*o - 20/7*o**4 + 0 + g*o**3.
-4*o**3*(5*o - 2)/7
Factor -27*f**3 - 360*f**2 + 345*f - 843*f - 764*f + 62*f.
-3*f*(3*f + 20)**2
Suppose 4*a - 3*x = 12, -x = -a - 3 + 7. Let i(f) be the first derivative of a*f - 5/18*f**4 - 2/9*f**3 - 3 + 2/9*f**2. Factor i(q).
-2*q*(q + 1)*(5*q - 2)/9
Let c(l) be the third derivative of -l**5/330 - l**4/33 + 5*l**3/33 + 7*l**2 - 8. Factor c(j).
-2*(j - 1)*(j + 5)/11
Let b be ((-4)/30)/(8/(-360)). Let l(z) be the third derivative of 0*z - 1/480*z**b + 1/48*z**3 + 0 + 0*z**5 - 1/1680*z**7 + 1/96*z**4 + z**2. Factor l(k).
-(k - 1)*(k + 1)**3/8
Let z(x) = 2*x**4 + 5*x**3 - 4*x**2 - 6*x. Suppose -7*n = 3 + 4. Let a(o) = o. Let f(i) = n*z(i) - 3*a(i). Factor f(t).
-t*(t - 1)*(t + 3)*(2*t + 1)
Let b = -7066/3 - -2398. Solve -128/3*s**2 - 16*s**3 - 1/6*s**5 + 0 - 8/3*s**4 - b*s = 0.
-4, 0
Let p be 7/(-28) + 105/168. Factor p*w**2 + 0 - 3/4*w.
3*w*(w - 2)/8
Let g be ((-18)/8)/(1/(-24)). Let s be 2/(-9) + 12/g. Factor s + 9*v - 3*v**2 - 7 + 1.
-3*(v - 2)*(v - 1)
Find r such that 11*r**3 + r**4 - 55*r**3 - 5*r**4 - 148*r**3 = 0.
-48, 0
Suppose 48 = 5*h - o - o, 0 = -5*o - 20. Suppose -8*y + h + 8 = 0. Factor 0*s - 1/2*s**5 - 1/2*s**4 + 1/2*s**y + 1/2*s**3 + 0.
-s**2*(s - 1)*(s + 1)**2/2
Let w(h) be the third derivative of h**6/60 - h**4/3 + 8*h**2 - 4. Factor w(k).
2*k*(k - 2)*(k + 2)
Let d(l) = -l**2 + 80*l - 79. Let f be d(1). Factor 1/4*v**4 - 1/8*v**3 + f*v**2 + 0 + 0*v - 1/8*v**5.
-v**3*(v - 1)**2/8
Suppose -51*q = -12 - 90. Factor 7/6*t**3 - 1 - 25/6*t - 2*t**q.
(t - 3)*(t + 1)*(7*t + 2)/6
Let t(m) be the third derivative of m**5/360 - m**4/16 + 2*m**3/9 + 45*m**2. Factor t(z).
(z - 8)*(z - 1)/6
Let 590*x + 259*x + 415 + 405*x**2 - 24*x - 5*x**3 = 0. What is x?
-1, 83
Let n(x) be the first derivative of -25 - 2/27*x**3 - 2/9*x - 2/9*x**2. Factor n(c).
-2*(c + 1)**2/9
Let j(w) be the third derivative of -w**6/30 + 8*w**5/15 + 19*w**4/6 + 20*w**3/3 - 121*w**2. Factor j(z).
-4*(z - 10)*(z + 1)**2
Factor 7/2*u - 1/2*u**3 + 0*u**2 + 3.
-(u - 3)*(u + 1)*(u + 2)/2
Let n(z) be the third derivative of z**7/4200 - z**6/600 + z**5/300 - 3*z**3 - 16*z**2. Let o(i) be the first derivative of n(i). Factor o(t).
t*(t - 2)*(t - 1)/5
Let t = -225 + 228. Let b(m) be the first derivative of -1/2*m**2 + 1/6*m**t - 3 + 0*m. Suppose b(o) = 0. Calculate o.
0, 2
Let g(v) = -7*v**2 - 165*v. Let c(j) = -6*j**2 - 166*j. Let o(q) = 3*c(q) - 2*g(q). Find k such that o(k) = 0.
-42, 0
Let j(u) = 19*u**2 + 27*u + 28. Let y(c) = 18*c**2 + 27*c + 24. Let w(x) = 3*j(x) - 4*y(x). Factor w(k).
-3*(k + 1)*(5*k + 4)
Find w, given that -3/2*w + 9/4*w**2 + 1/4 = 0.
1/3
Let t be (-30)/12*12*8/(-60). L