rivative of 0*y - 1/30*y**6 + 0*y**4 + 0*y**3 - 38*y**2 + 0 + 1/15*y**5. Factor l(x).
-4*x**2*(x - 1)
Factor 0 + 27/2*i**2 + 1/2*i.
i*(27*i + 1)/2
Let v = -58/9 + 478/63. Solve v*k**2 + 0 - 4/7*k**4 + 0*k - 4/7*k**3 = 0.
-2, 0, 1
Suppose -9*b = 9*b - 11*b - 14. Factor -4/11*o**b - 2/11*o - 2/11*o**3 + 0.
-2*o*(o + 1)**2/11
Let l be (9/2)/(-7 + 4 - -11). Let h(s) be the first derivative of -3/20*s**5 + 0*s + 0*s**2 - 6 - l*s**4 + 0*s**3. What is u in h(u) = 0?
-3, 0
Let b be -9 - (82/(-36))/(-23*1/(-92)). Solve 2/9*z**3 + b*z + 2/9 - 5/9*z**2 = 0 for z.
-1/2, 1, 2
Find k such that -12*k**2 - 141*k**5 + 18*k**3 + 143*k**5 + 4*k**2 - 12*k**4 = 0.
0, 1, 4
Let u = -586/7 - -84. Let u*z**2 - 8/7 + 0*z = 0. What is z?
-2, 2
Let s(c) be the second derivative of c**6/15 - c**5/2 + 7*c**4/6 - c**3 + 132*c. Solve s(f) = 0.
0, 1, 3
Factor -56/9*x**2 + 100 - 2/9*x**3 - 110/3*x.
-2*(x - 2)*(x + 15)**2/9
Let b(z) be the second derivative of z**6/80 - 9*z**5/160 + z**4/32 + 3*z**3/16 - 3*z**2/8 + 5*z + 4. Suppose b(m) = 0. Calculate m.
-1, 1, 2
Let n(t) = 6*t**2 + 8*t - 15. Let f = 9 - 1. Let r(y) = 5*y - y - f*y - 3*y**2 + 8. Let x(o) = -4*n(o) - 7*r(o). Determine d, given that x(d) = 0.
-2, 2/3
Let p(y) be the third derivative of y**6/5 + 31*y**5/15 + 2*y**4/3 - 10*y**3/3 + 138*y**2. Solve p(i) = 0 for i.
-5, -1/2, 1/3
Let r(z) be the first derivative of z**4/8 - z**3/2 - 90. Factor r(j).
j**2*(j - 3)/2
Factor -136*s + 7*s - 66 - 60*s**2 + 385*s**3 - 382*s**3.
3*(s - 22)*(s + 1)**2
Let u(f) be the first derivative of f**7/5040 - f**6/2160 + 3*f**3 + 6. Let y(p) be the third derivative of u(p). Suppose y(v) = 0. What is v?
0, 1
Let p(u) = -2*u**4 - 14*u**3 + u**2 - 3. Let d(c) = c**4 - c**3. Let l(v) = 5*d(v) - p(v). Let o(m) = m**2 - 1. Let q(w) = l(w) + 3*o(w). Factor q(k).
k**2*(k + 1)*(7*k + 2)
Let a = -31535/3 - -10513. Factor 2/3*t - 16/9*t**2 + 0 + a*t**3 + 0*t**4 - 2/9*t**5.
-2*t*(t - 1)**3*(t + 3)/9
Let -279991 - 9250573 - 4318152 - 1170*q**2 - 228150*q - 2*q**3 - 981034 = 0. What is q?
-195
Let q be (-6)/(-4) - (-6)/4. Let r = -3 + q. Find j, given that r*j**3 + j + 3*j**3 - 2*j**3 + 2*j**2 = 0.
-1, 0
Let -5*y**2 - 60*y + 0*y**2 - y**2 + 0*y + 4*y**2 = 0. Calculate y.
-30, 0
Let v(x) be the first derivative of x**4/6 + 14*x**3/9 - 34*x**2/3 - 80*x/3 + 478. Determine l so that v(l) = 0.
-10, -1, 4
Let l(i) be the first derivative of 9*i**4/4 + 25*i**3 + 12*i**2 + 11. Factor l(n).
3*n*(n + 8)*(3*n + 1)
Suppose 5*z - 224 = -g, -544 - 352 = -4*g - 5*z. Let d be (2/(-20))/((g/120)/(-14)). What is x in -13/4*x + 1/2*x**4 - 11/4*x**3 + 19/4*x**2 + d = 0?
1/2, 1, 3
Factor -4*b**5 - 196*b + 197*b + 4*b**5 + b**5 - 2*b**3.
b*(b - 1)**2*(b + 1)**2
Let n(h) be the first derivative of h**6/75 + h**5/50 - 2*h**4/15 - 4*h**3/15 + 11*h - 11. Let a(y) be the first derivative of n(y). Factor a(v).
2*v*(v - 2)*(v + 1)*(v + 2)/5
Let s = -8 + 8. Suppose 18 = -u - 4*m, -2*u = -s*u + 4*m + 16. Find f such that -2*f - 4*f + 4*f**u + 0*f**4 + 7*f + 4*f**4 + 6*f**3 + f**5 = 0.
-1, 0
Suppose -4*d + 0*d + 22 = -2*z, 3*z - 4*d = -33. Let b = z - -17. Let -2*n - 141 - b*n + 135 - 2*n**2 = 0. Calculate n.
-3, -1
Let i = 85 + -424/5. Let c(s) be the first derivative of 3/5*s - 3/5*s**2 - 4 + i*s**3. Suppose c(f) = 0. Calculate f.
1
Suppose 1 = 2*t - b, -t + 1 = 4*b - 22. Factor 0*a**t + 15*a**2 + 9*a - 176 + 3*a**3 + 149.
3*(a - 1)*(a + 3)**2
Let b = 1915 - 1915. Let j(r) be the second derivative of 0*r**2 + 1/80*r**5 + b + r + 0*r**4 - 1/24*r**3. Factor j(m).
m*(m - 1)*(m + 1)/4
Find w such that 1/3*w**3 - 12*w**2 + 1600/3 + 80*w = 0.
-4, 20
Let i(y) be the third derivative of -y**5/20 - 39*y**4/8 + 20*y**3 + 16*y**2 + y. Solve i(o) = 0 for o.
-40, 1
Let y = 2 + 6. Let o(c) = -c + 15. Let k be o(y). Determine s so that 8 - 2*s**2 + k*s - 4*s + 7*s + 4*s**2 = 0.
-4, -1
Let c(x) be the second derivative of -x**6/6 + 35*x**5/4 - 415*x**4/4 - 5035*x**3/6 - 1805*x**2 - 351*x. Let c(g) = 0. What is g?
-2, -1, 19
Let l = -38 + 38. Let q = -99/2 - -50. Factor l - q*g**2 + g.
-g*(g - 2)/2
Let s = 323/1770 - -3/59. Let x(b) be the second derivative of 2*b - 4/5*b**2 - 16/15*b**3 + 0 - s*b**4. Factor x(r).
-2*(r + 2)*(7*r + 2)/5
Let o = 49 - 47. Factor -3*q**4 - 3*q**o + 6*q**2 - 6*q**2 + 6*q**3.
-3*q**2*(q - 1)**2
Find c such that -16/3 + 4/3*c + 16/3*c**2 - 4/3*c**3 = 0.
-1, 1, 4
Suppose 9*m - 13*m + 48 = 0. Factor 0*j**3 + 5*j**2 + 9*j**2 + 2*j**2 + 26*j + 2*j**3 + m.
2*(j + 1)**2*(j + 6)
Let y(m) = 2*m**2 - m - 557. Let n be y(17). Factor -5/2*o**2 - 5/4*o + 5/2*o**3 + 5/4*o**n + 5/4 - 5/4*o**5.
-5*(o - 1)**3*(o + 1)**2/4
Suppose 2*i - 7 = c - 0*c, 0 = -3*i + 5*c + 21. Solve 2 + d**3 + 11/2*d**i + 13/2*d = 0 for d.
-4, -1, -1/2
Let d(s) = -8*s**2 - 22*s + 24. Let x(j) = -6*j**2 + 1 + 2*j - 4*j + 5*j**2 + j. Let v(i) = d(i) - 6*x(i). Factor v(g).
-2*(g - 1)*(g + 9)
Let q(z) = -z**2 - 7*z + 4. Let p be q(-8). Let j be 6/p*(-24)/9. Factor 2 - j - 7*f - 9*f**2 - 5*f**3 + 0*f**3 + 0*f**4 - f**4.
-(f + 1)**3*(f + 2)
Suppose -53*x + 57*x = 8. Determine s so that x*s**4 + 2*s - 7 + 3 + 0*s**2 - 6*s**2 + 8*s - 2*s**3 = 0.
-2, 1
Suppose 0 + 20/13*m**3 - 6/13*m**4 + 4/13*m - 18/13*m**2 = 0. Calculate m.
0, 1/3, 1, 2
Let r be 2 - 18/10 - 45/(-25). Factor -35*m**3 - 5*m + 14*m**3 + m**4 - 2*m**4 + 18*m**3 + 9*m**r.
-m*(m - 1)**2*(m + 5)
Let f(c) be the third derivative of 9/20*c**5 - 13/40*c**6 + 1/14*c**7 + 1/8*c**4 - 10*c**2 + 0 + 0*c - c**3. Suppose f(h) = 0. What is h?
-2/5, 1
Factor -15*b**2 + 34*b**2 - 16*b**2 - 4*b + 3*b**3 - 2*b.
3*b*(b - 1)*(b + 2)
Let r(b) be the second derivative of b**4/20 + 3*b**3/5 + 12*b**2/5 - 40*b. Factor r(f).
3*(f + 2)*(f + 4)/5
Suppose -68*w + 34*w = 0. Let a(c) be the second derivative of 1/9*c**4 + 1/9*c**3 - 2/3*c**2 + 10*c - 1/30*c**5 + w. Find n such that a(n) = 0.
-1, 1, 2
Let f(l) be the third derivative of -l**7/105 - l**6/20 - l**5/30 + l**4/4 + 2*l**3/3 - 95*l**2 + 2. Factor f(u).
-2*(u - 1)*(u + 1)**2*(u + 2)
Let f be (3568/3345)/((-4)/(-6)). Factor -f*r + 14/15*r**3 - 6/5*r**2 + 8/15.
2*(r - 2)*(r + 1)*(7*r - 2)/15
Let g(t) = 1 + 34*t**4 + 31*t**4 - t**3 - t - 66*t**4. Let w(p) = 10*p**4 + 34*p**3 + 44*p**2 + 26*p - 6. Let b(z) = -6*g(z) - w(z). Factor b(d).
-4*d*(d + 1)**2*(d + 5)
Let z(s) be the third derivative of -s**6/120 + 13*s**5/60 - s**4/2 - s**2 - 639. What is t in z(t) = 0?
0, 1, 12
Let p(h) be the first derivative of h**6/54 + 7*h**5/45 + 17*h**4/36 + 17*h**3/27 + h**2/3 + 446. Factor p(q).
q*(q + 1)**2*(q + 2)*(q + 3)/9
Let g(h) be the second derivative of -h**7/5040 - h**6/1440 + 3*h**4/4 + 6*h. Let x(u) be the third derivative of g(u). Factor x(p).
-p*(p + 1)/2
Find l such that -6050/9*l - 4180/9*l**2 - 70/9*l**4 - 860/9*l**3 - 2662/9 - 2/9*l**5 = 0.
-11, -1
Suppose -42 + 159 + 241 = 179*w. Let -1/5*v + 0 - 3/5*v**3 - 1/5*v**4 - 3/5*v**w = 0. Calculate v.
-1, 0
Let s = -276/17 - -964/51. Let -s - 22/3*n**2 - 8*n - 2*n**3 = 0. Calculate n.
-2, -1, -2/3
Let n be -1 - (-2 - 1) - 12. Let z be (-2)/4*(n - -6). Factor o**5 + 0*o**2 + 2*o**4 - 2*o**3 - 3*o**3 + 8*o - 3*o**4 + o**z + 4.
(o - 2)**2*(o + 1)**3
Let v(d) be the second derivative of -d**7/28 + 11*d**6/20 - 3*d**5/4 + 191*d. Factor v(i).
-3*i**3*(i - 10)*(i - 1)/2
Solve -25*o**2 + 0 + 5/2*o**4 + 45/2*o**3 + 0*o = 0.
-10, 0, 1
Let h = -449 + 451. Factor -10/7*p - 2/7 - 10/7*p**4 - 20/7*p**h - 2/7*p**5 - 20/7*p**3.
-2*(p + 1)**5/7
Let u(o) = 2*o**4 + 147*o**3 - 2*o - 12*o**2 - 7 - 151*o**3 + 6*o**5 + 17*o**4. Let x(z) = z**4 - 1. Let f(d) = 2*u(d) - 18*x(d). Factor f(k).
4*(k - 1)*(k + 1)**3*(3*k - 1)
Let k = -1066 - -9596/9. Let d(h) be the first derivative of 0*h - k*h**3 - h**2 - 14. Factor d(a).
-2*a*(a + 3)/3
Let n = -3623/4 - -906. Suppose 1/4*p**2 + 0 + n*p = 0. Calculate p.
-1, 0
Factor -2*k**3 - 4801 + 8*k**2 - 18*k + 4*k**2 + 4809.
-2*(k - 4)*(k - 1)**2
Suppose 0 = -0*m + 5*m. Suppose 3*t + 5 = 4*l, m = 2*l + t - 5. Solve -3 + l*n**3 + 2 + 2 - 3*n**4 - 2*n + 2*n**4 = 0 for n.
-1, 1
Let h = 20 - 22. Let r = 7 - h. Solve r*p**5 + p**3 + 7*p**3 - 6*p**3 + 15*p**4 + 4*p**3 = 0.
-1, -2/3, 0
Let f(u) = 5*u**3 + 8*u**2 + 17*u + 6. Let b be (6/(-1))/(15/(-20)). Let d(v) = 3*v**3 + 5*v**2 + 11*v + 4. Let l(j) = b*d(j) - 5*f(j). Factor l(w).
-(w - 2)*(w + 1)**2
Let t(b) be the fi