be the third derivative of j**8/11200 - j**7/2100 + j**6/1200 + 5*j**4/12 - 12*j**2. Let m(w) be the second derivative of c(w). Factor m(v).
3*v*(v - 1)**2/5
Let r be (-519)/(-173) + (0 - 0) - 20/15. Suppose 5/3*j**4 + 0 - 5/3*j**2 + 5/3*j**3 - r*j = 0. Calculate j.
-1, 0, 1
Let g(z) = -79*z**3 - 122*z**2 + 26*z**2 + 1 + 134*z**3 - 9*z. Let r(b) = 109*b**3 - 193*b**2 - 19*b + 3. Let t(q) = -5*g(q) + 3*r(q). Factor t(m).
(m - 2)*(4*m + 1)*(13*m - 2)
Let g be 23862/(-9)*12/(-40). Let d = -793 + g. Factor 6/5*j**4 - 3/5*j**5 - 12/5*j + 0 + 9/5*j**3 - d*j**2.
-3*j*(j - 2)**2*(j + 1)**2/5
Suppose -21*m + 123 - 54 = -57. Find w such that -33/2*w**4 - m*w**5 - 3/2*w**2 + 0 + 3/2*w - 27/2*w**3 = 0.
-1, 0, 1/4
Let t(i) be the second derivative of 2/21*i**4 + 2/7*i**2 + 5/21*i**3 + 30*i + 0 + 1/70*i**5. Factor t(k).
2*(k + 1)**2*(k + 2)/7
Let k(t) be the first derivative of t**5/10 - t**4/6 - t**3/3 + t**2 + 2*t - 19. Let i(x) be the first derivative of k(x). Factor i(m).
2*(m - 1)**2*(m + 1)
Let a(o) be the second derivative of -1/231*o**7 + 0*o**3 + 0*o**2 + 0*o**6 - 1/33*o**4 + 0 - 33*o + 3/110*o**5. What is j in a(j) = 0?
-2, 0, 1
Suppose 2 = -3*t + 8. Let x be (-24)/(-10) + (-4)/10. Find v, given that 3*v**t + 2 - x - v - 2*v**2 = 0.
0, 1
Factor -4/5*y**3 - 4/5*y**4 + 0*y**2 + 0*y + 0.
-4*y**3*(y + 1)/5
Let j(z) be the second derivative of -1/42*z**4 + 2/21*z**3 - 9*z + 3/7*z**2 + 0. Factor j(m).
-2*(m - 3)*(m + 1)/7
Factor 4*j**3 + 2/5*j**4 + 0*j + 0 + 42/5*j**2.
2*j**2*(j + 3)*(j + 7)/5
Let l(h) = 5*h**3 + 7*h**2 - 4*h. Suppose 0 = 4*p + p + 25, -3*n + 3*p = -24. Let r(j) = 4*j**3 + 6*j**2 - 3*j. Let k(y) = n*l(y) - 4*r(y). Factor k(f).
-f**2*(f + 3)
Let u be 2 + (70/(-15))/7*-3. Suppose 22 = m + u*c, 6*c - c - 23 = m. Suppose -1/4*w**m + 1/4*w + 0 = 0. Calculate w.
0, 1
Let x(n) = -10*n + 0*n + 33*n**2 + n - n**2 + 2. Let u(q) = -q. Let d = 33 - 47. Let p(a) = d*u(a) - 2*x(a). Factor p(l).
-4*(4*l - 1)**2
Let u = 26 + -24. Let v be (u - 5) + 26/6. Factor 0 - 2/3*q**2 - v*q.
-2*q*(q + 2)/3
Suppose 2*z + 2*z = 16, -8 = -4*v + z. Suppose 7*l**2 - 10*l - 2*l**2 + 28*l**v + 2*l**3 = 0. What is l?
-2/3, 0, 1/2
Let j = 23 - 9. Let t(a) = a**4 - a**3 - a**2 - a. Let y(l) = -13*l**4 + 18*l**3 + 9*l**3 - 17*l + l**2 + 174 - 166. Let i(m) = j*t(m) + 2*y(m). Solve i(q) = 0.
-1, 1/3, 2
Let d(m) be the third derivative of m**5/40 - 29*m**4/12 - 13*m**3/4 - 19*m**2 + 3. Solve d(w) = 0 for w.
-1/3, 39
Suppose 7/6*y**2 + 2*y + 2/3 - 1/3*y**4 - 1/2*y**3 = 0. What is y?
-2, -1, -1/2, 2
Let x(i) be the first derivative of -11/3*i**3 - 1/4*i**5 + 33/8*i**4 + i**2 - 19 - 25/24*i**6 + 0*i. Determine n, given that x(n) = 0.
-2, 0, 2/5, 1
Solve -46*s + 37 + 12*s + 47 - 54*s + 4*s**2 = 0.
1, 21
Let y(n) be the second derivative of 0*n**4 + 1/40*n**5 + 0*n**2 - 1/60*n**6 - 6*n + 0*n**3 + 0. Factor y(a).
-a**3*(a - 1)/2
Let w = 12461/28 + -445. Let l(j) be the second derivative of 11*j + 6/7*j**2 + w*j**4 + 0 + 2/7*j**3. Factor l(v).
3*(v + 2)**2/7
Let c(k) be the third derivative of -k**8/1344 - k**7/140 + k**6/80 + 7*k**5/60 - 15*k**4/32 + 3*k**3/4 + k**2 - 118*k. Let c(x) = 0. What is x?
-6, -3, 1
Let w(s) be the first derivative of -4*s**3/3 - 30*s**2 - 104*s + 64. Factor w(q).
-4*(q + 2)*(q + 13)
Let u = 1625/3636 + -1/404. Determine a, given that 0*a**2 + 4/3*a - u*a**3 - 8/9 = 0.
-2, 1
Let q = -38 + 38. Suppose -5*m + 8 + 2 = q. Determine s, given that 6/5*s - 6/5*s**3 + 4/5*s**m - 4/5 = 0.
-1, 2/3, 1
Let z = -18 - -21. Factor 17*d**4 - 6*d**4 - 2*d - 3*d**5 - 15*d**z + 12*d**2 - 4*d**2 + d**2.
-d*(d - 1)**3*(3*d - 2)
Suppose 5*g - 6 - 4 = 0. Let w(m) = -4*m - 46. Let i be w(-12). Factor 0*b**3 - 2*b**2 - i*b + g*b**5 - 4*b**4 + 0*b**3 + 6*b**2.
2*b*(b - 1)**3*(b + 1)
Suppose 39 + 86 = 5*j. Let u = -23 + j. Factor 3*i**4 + 2 + i**5 + 2*i**3 - 6*i - 2*i**u - 3 + 3*i.
(i - 1)*(i + 1)**4
Find a such that -1/2*a**3 + 12 - 13/2*a - 5*a**2 = 0.
-8, -3, 1
Suppose 13*k = 14*k + 4. Let v(q) = -q**3 - 16*q + 5. Let w(c) = -16*c + 4. Let r(t) = k*v(t) + 5*w(t). Let r(o) = 0. What is o?
-2, 0, 2
Let g(a) be the first derivative of -2*a**3/3 - 8*a**2 + 130*a + 857. Let g(s) = 0. What is s?
-13, 5
Let r(b) be the third derivative of b**6/600 + 17*b**5/300 + 11*b**4/15 + 24*b**3/5 + 74*b**2 + 3. Find i, given that r(i) = 0.
-9, -4
Let n = 9619/16 - 601. Let q(b) be the first derivative of 0*b - 1/20*b**5 - 1/4*b**3 - 1/8*b**2 + 1 - n*b**4. Determine g so that q(g) = 0.
-1, 0
Factor -2*r**3 - 70 - 4*r - 3*r**3 + 40*r**2 + 2*r - 26*r + 3*r.
-5*(r - 7)*(r - 2)*(r + 1)
Factor 1/8*a**4 + 2*a**3 - 17/8*a**2 + 0*a + 0.
a**2*(a - 1)*(a + 17)/8
Let d(j) be the third derivative of -23*j**7/315 + j**6/9 + 13*j**5/45 - 5*j**4/9 - j**3/3 - 59*j**2 + j. Solve d(a) = 0 for a.
-1, -3/23, 1
Let c be (-90)/20*(-36)/81. Let s(g) be the first derivative of 4/5*g**5 + 2/3*g**6 + 4*g - 2*g**4 + 2*g**c - 2 - 8/3*g**3. Solve s(w) = 0.
-1, 1
Let r(o) be the third derivative of o**8/1176 - 2*o**7/245 + o**6/30 - 8*o**5/105 + 3*o**4/28 - 2*o**3/21 - 114*o**2. Factor r(d).
2*(d - 2)*(d - 1)**4/7
Let k(z) = 20*z**5 + 28*z**4 - 62*z**3 - 76*z**2 + 82*z + 48. Let x(n) = n**5 + n**4 - n**2 + 3*n. Let l(f) = -k(f) + 10*x(f). Determine s so that l(s) = 0.
-3, -1, -4/5, 1, 2
Let c(s) = 5*s**4 - 2*s**3 - 7*s**2 - 3*s + 3. Let r(o) = -65*o**4 + 25*o**3 + 90*o**2 + 40*o - 40. Let v(d) = -40*c(d) - 3*r(d). Factor v(k).
-5*k**2*(k - 2)*(k + 1)
Let v(h) be the first derivative of -h**7/3360 + h**6/480 - 5*h**3 - 20. Let q(n) be the third derivative of v(n). Let q(j) = 0. What is j?
0, 3
Let n(v) = v**3 - 3*v**2 - 3*v + 3. Let f be 6/2*(-76)/57. Let d(k) = 2*k**3 - 6*k**2 - 7*k + 6. Let o(l) = f*d(l) + 10*n(l). Determine x so that o(x) = 0.
-1, 1, 3
Let c be 8 - ((0 - -5) + -1). Suppose -c*b + 12 = 0, -u + 9 = 5*b - 10. Let -1/4*h**u + 1/4*h**2 + 0 - 1/2*h + 1/2*h**3 = 0. What is h?
-1, 0, 1, 2
Let g be ((-50)/(-125))/((-541)/(-270) - 2). Let v = g + -104. Factor -8/3 + 2*i**2 - 2/3*i**v - 4/3*i**3 + 8/3*i.
-2*(i - 1)**2*(i + 2)**2/3
Factor -2/15*d**4 + 0 + 16/15*d**2 + 8/5*d - 2/15*d**3.
-2*d*(d - 3)*(d + 2)**2/15
Suppose -10*t = 4*t - 70. Suppose 5*i**t - 2*i**5 - 4*i**4 + 8*i**3 - 11*i**3 + 4*i + 4*i**2 - 4*i**5 = 0. Calculate i.
-2, -1, 0, 1
Let a(t) = 18*t**2 + 2*t**3 - 60*t**2 - 2*t + 1 + 20*t**2 + 23*t**2. Let k be a(1). Determine n, given that 0 + 2/5*n**k - 1/5*n**3 + 0*n = 0.
0, 2
Suppose -2 = 3*p - 14. Suppose -p*k + 140 = k. Let -20*s**3 + 8 + 1 - 3*s**4 - k*s + 36*s**2 + 7*s**4 - 1 = 0. What is s?
1, 2
Find o, given that 16 + 16*o - 4*o**2 - 4*o**3 + 0*o**2 + 9*o**2 - 9*o**2 = 0.
-2, -1, 2
Let p(b) be the second derivative of -1/12*b**4 + 1/3*b**3 + 34*b + 0 + 0*b**2 - 1/20*b**5. Determine d so that p(d) = 0.
-2, 0, 1
Let a(l) = 4*l**4 + 2*l**3 - 8*l**2 - 8*l - 2. Let s(m) = m**3 + m. Let j be s(-1). Let c(w) = -w**4 + w**2 - w - 1. Let d(q) = j*c(q) - a(q). Factor d(n).
-2*(n - 2)*(n + 1)**3
Let b(z) be the first derivative of -21*z**2 + 19*z**3 + 23 + 0*z + 9/4*z**4. Solve b(k) = 0 for k.
-7, 0, 2/3
Let o = 1801/6 - 300. Let b(w) be the second derivative of o*w**4 + 1/45*w**6 + 3*w + 1/10*w**5 + 0 + 0*w**2 + 1/9*w**3. Factor b(k).
2*k*(k + 1)**3/3
Let s(n) = -n**2 + 2*n + 1. Let u be s(2). Suppose h + 0 = u. Factor h - 2 + 1 - 2*b**2.
-2*b**2
Factor 36 - 10 - 13*u**3 - 53*u**3 + 66*u + 4 + 33 - 60*u**2 - 3*u**4.
-3*(u - 1)*(u + 1)**2*(u + 21)
Let n(z) be the third derivative of -5*z**8/1176 + 19*z**7/245 - 71*z**6/210 - 22*z**5/35 + 6*z**4/7 - 2*z**2 + 6*z. Suppose n(h) = 0. Calculate h.
-1, 0, 2/5, 6
Factor 16/3*n - 17/3 + 1/3*n**2.
(n - 1)*(n + 17)/3
Let b(a) be the first derivative of a**4/4 + 7*a**3/3 - 15*a**2 + 4*a + 78. Let u be b(-10). Factor -3*s**3 + 0*s + 3/2*s**2 + 3/2*s**u + 0.
3*s**2*(s - 1)**2/2
Factor -5/4*g + 1/2 + g**2 - 1/4*g**3.
-(g - 2)*(g - 1)**2/4
Let l(o) = -42*o - 1. Let p be l(-1). Suppose 0 = x + 5*u - 61, -3*u + 16 + p = x. Factor -x*n**2 + 22*n**2 + 25*n**2.
-4*n**2
Let d(o) be the first derivative of o**6 - 268*o**5/75 - 5*o**4/3 + 56*o**3/9 + o**2/3 - 4*o/5 + 29. Find h, given that d(h) = 0.
-1, -2/9, 1/5, 1, 3
Let 9/8*y**5 - 15/8*y**4 + 4*y - 41/8*y**3 + 3/2 + 3/8*y**2 = 0. What is y?
-1, -2/3, 1, 3
Factor 48*g**2 - 72*g**3 + 73*g**3 + 211*g - 164*g.
g*(g + 1)*(g + 47)
L