3*f**3 - 2/33*f**4 + s*f. Factor h(k).
2*(k - 2)*(5*k + 2)/11
Factor 89195*h - 380795*h - 521024 - 528*h**3 + 22680*h**2 + 205951 + 4*h**4 - 778427.
4*(h - 45)**3*(h + 3)
Let b = 83189 + -83186. Determine w, given that -b*w + 3/5*w**2 + 12/5 = 0.
1, 4
Let x(n) be the third derivative of n**8/84 + 4*n**7/105 - 4*n**6/15 - 6*n**5/5 - 3*n**4/2 + n**2 + 857. Factor x(m).
4*m*(m - 3)*(m + 1)**2*(m + 3)
Suppose -4*q - 3*n + 35 = 0, -2*n + 33 = 3*q + 8. Factor 0*m**q + 18*m**4 - m + 9*m**5 + 17*m**3 - 4*m + m - 4*m**5.
m*(m + 1)**2*(m + 2)*(5*m - 2)
Let w = -52/11 - -29/55. Let z = w + 109/20. Factor 0 - z*r**2 + 0*r - 5*r**5 - 45/4*r**4 - 15/2*r**3.
-5*r**2*(r + 1)**2*(4*r + 1)/4
Let d = 277 + -277. Factor d*z**3 + 1080 - 5*z**3 - 165*z - 326*z - 49*z + 90*z**2.
-5*(z - 6)**3
Factor -3/2*r**5 - 729/4*r**2 - 1107*r**3 - 325/4*r**4 + 0*r + 0.
-r**2*(r + 27)**2*(6*r + 1)/4
Let s(j) = -3*j - 3*j**2 + 20 - 38 - 5*j**2 + 6*j**2. Let x(r) = -r**2 - 2*r - 8. Let o(p) = 2*s(p) - 5*x(p). Factor o(g).
(g + 2)**2
Let k(l) be the third derivative of -l**6/240 + l**5/2 - 351*l**4/16 + 729*l**3/2 - 2*l**2 + 139*l. What is c in k(c) = 0?
6, 27
Factor 60*x**2 + 12*x**3 - 201*x - 66*x**3 + 25*x**3 + 26*x**3 + 144.
-3*(x - 16)*(x - 3)*(x - 1)
Suppose -6313 = 17*k - 6364. Let x(t) be the first derivative of 0*t**5 - 30 - 2/3*t**6 + 8/3*t**k - 8*t + 4*t**4 - 6*t**2. Factor x(l).
-4*(l - 2)*(l - 1)*(l + 1)**3
Let w(g) be the third derivative of 0 + 1/6*g**3 + 0*g + 147*g**2 + 1/105*g**7 - 5/48*g**4 - 1/10*g**5 - 1/240*g**6. Factor w(y).
(y - 2)*(y + 1)**2*(4*y - 1)/2
Let o(v) be the second derivative of -5*v**7/42 + 5*v**6/6 + 2769*v. Determine m, given that o(m) = 0.
0, 5
Let b be (-65)/39*(-108)/(-330) - (-1020)/176. Let o be ((-9)/(-72))/((-2)/(-36)). Suppose 15/4*u**2 - 3/4*u**3 - b*u + o = 0. What is u?
1, 3
Let k(d) be the second derivative of -2*d**6/15 + 58*d**5/5 - 112*d**4/3 - 931*d. Factor k(f).
-4*f**2*(f - 56)*(f - 2)
Let i(k) be the second derivative of 0 + 0*k**4 - 1/21*k**3 + 1/70*k**5 + 0*k**2 + 41*k. Determine l so that i(l) = 0.
-1, 0, 1
Let v be ((-6 + 7)*-3*(-4)/(-18))/(7460/(-2238)). Suppose 5*p + 4*g + 16 = 0, -2*p - 8 = -5*p + 2*g. Factor 0 + p*u - v*u**2.
-u**2/5
Let o(w) = 1472*w - 275282. Let y(m) = m**2 + 2938*m - 550564. Let f(v) = -5*o(v) + 2*y(v). Factor f(b).
2*(b - 371)**2
Let z(w) be the second derivative of w**4/3 - 94*w**3 + 280*w**2 + 2337*w. Solve z(v) = 0 for v.
1, 140
Let l(h) = 6*h + 27. Let j be l(-7). Let c be ((-10)/j)/((-8)/(-6)). Factor -1/8*g**3 - c + 7/8*g - 1/4*g**2.
-(g - 1)**2*(g + 4)/8
Let h = 111988 + -447925/4. Factor 3/4*c**2 - h*c + 0.
3*c*(c - 9)/4
Let m(a) = -5*a**2 + 52*a - 460. Let x(g) = -2*g**2 + 17*g - 153. Let q(k) = -3*m(k) + 8*x(k). Factor q(u).
-(u - 6)*(u + 26)
Let p(n) = -n**4 + n**3 - 2*n**2 - n - 2. Let r(s) = 5*s**4 + 25*s**3 + 203*s**2 - 221*s + 8. Let t(o) = 4*p(o) + r(o). Factor t(j).
j*(j - 1)*(j + 15)**2
Let s(y) be the second derivative of y**4/36 + y**3/6 + y**2/3 - y - 3. Factor s(z).
(z + 1)*(z + 2)/3
Factor 59*t**3 + 9*t**2 - 91*t**3 - 26*t**4 + 13*t**2 - 18*t**2 - 10*t**4.
-4*t**2*(t + 1)*(9*t - 1)
Let w(x) = -x**5 - 19*x**4 + 137*x**3 - 317*x**2 + 284*x - 80. Let k(l) = -2*l**4 - l**3 + l + 4. Let b(y) = -4*k(y) + 2*w(y). Factor b(f).
-2*(f - 4)*(f - 1)**3*(f + 22)
Let j be (-680)/(-55) - 156/13. Let i = 10 - 6. What is l in -j*l**3 + 4/11*l + 0 - 2/11*l**2 + 2/11*l**i = 0?
-1, 0, 1, 2
Let i(y) be the first derivative of -y**2 + 4/3*y + 2/9*y**3 + 62. Factor i(m).
2*(m - 2)*(m - 1)/3
Find z, given that 5808 - 135/4*z**3 - 1188*z - 789*z**2 - 3/8*z**4 = 0.
-44, -4, 2
Let y be ((-48)/18)/((-8)/96*4). Let q(a) = a**3 - 7*a**2 - 8*a + 2. Let b be q(y). Factor 2/5*f + 0 - 1/5*f**b.
-f*(f - 2)/5
Let c be ((-6)/5)/(998/(-2495)). Solve -1/3 + 5/6*f**c + 1/6*f + 4/3*f**2 = 0 for f.
-1, 2/5
Suppose -2*l - 8 = 0, 5*j - 2*l - 1914 = 534. Let h be (7 - -2)*(-5 + j/96). What is d in 0*d**2 + 0 + 0*d + h*d**4 + 1/2*d**3 = 0?
-2/3, 0
Suppose 0 = 130*s - 451 + 61. Let 1/2*q**s - 9/2*q - 3/2*q**2 - 5/2 = 0. Calculate q.
-1, 5
Suppose 2*z = 162 - 154. Find d such that z*d**2 + 8*d**2 + 4*d**2 + 14 - 17*d**2 + 5*d + 0*d**2 = 0.
-2, 7
Let m = -95 + 100. Suppose 4*t - 2*t + 6 = 0, 0 = -5*x - 5*t + 10. Find h, given that -8*h + m*h + 10 - x*h**2 - 2*h = 0.
-2, 1
Let w(r) be the second derivative of -1/120*r**6 + 1/60*r**5 + 1/12*r**4 - 21/2*r**2 - 20*r + 0 + 0*r**3. Let x(d) be the first derivative of w(d). Factor x(t).
-t*(t - 2)*(t + 1)
Suppose -6*z + 4*h + 8 = -3*z, 0 = z - 2*h. Let c(f) be the first derivative of 38/3*f**3 - 8*f**2 - 14 - 7/2*f**4 - z*f. Factor c(d).
-2*(d - 2)*(d - 1)*(7*d + 2)
Let q be (936/819)/((-12)/(-21)). Factor -4*h + 6 + 1/2*h**q.
(h - 6)*(h - 2)/2
Let s = 31 - 32. Let t be 1/((-8 + 9)*s/(-5)). Let u(n) = n**3. Let g(v) = 8*v**3 - 3*v - 2. Let o(j) = t*g(j) - 35*u(j). Suppose o(p) = 0. Calculate p.
-1, 2
Let v(q) be the second derivative of -q**6/15 - 137*q**5/5 + 277*q**4/6 + 550*q**3/3 - 1181*q. Factor v(n).
-2*n*(n - 2)*(n + 1)*(n + 275)
Let l(p) = 17*p**3 - 70*p**2 + 125*p - 68. Let j(k) = 190*k**3 - 770*k**2 + 1375*k - 750. Let b(d) = -4*j(d) + 45*l(d). Suppose b(n) = 0. Calculate n.
1, 12
Let p(w) be the first derivative of -7*w**6/3 - 110*w**5 - 71*w**4/2 + 550*w**3/3 + 78*w**2 - 731. Let p(r) = 0. What is r?
-39, -1, -2/7, 0, 1
Let h(s) be the second derivative of s**7/14 - 4*s**6/5 + 33*s**5/20 + 2*s**4 - 6*s**3 + 1209*s. Let h(j) = 0. What is j?
-1, 0, 1, 2, 6
Factor 0 + 1/4*c**4 + 7/4*c**3 - 1/4*c**2 - 7/4*c.
c*(c - 1)*(c + 1)*(c + 7)/4
Let a(f) = 6*f**3 - 80*f + 112. Suppose 17*u - 5*u + 36 = 0. Let d(w) = 2*w**3 - 27*w + 38. Let l(h) = u*a(h) + 8*d(h). Factor l(o).
-2*(o - 2)**2*(o + 4)
Let i(b) be the second derivative of b**10/30240 + b**9/7560 - b**8/2240 - b**4/12 - 5*b**2/2 - 3*b - 7. Let h(d) be the third derivative of i(d). Factor h(x).
x**3*(x - 1)*(x + 3)
Factor -501*g - 411*g - 2212 + 20333*g**2 - 190*g - 20331*g**2.
2*(g - 553)*(g + 2)
Let o(f) be the third derivative of f**5/180 - 5*f**4/12 - 200*f**3/9 + 3*f**2 + 27*f - 5. Suppose o(x) = 0. Calculate x.
-10, 40
Suppose 4*b + 38 = 2*b. Let m = -17 - b. Factor -4760*w**m + 12005*w**5 - 6072*w**3 - 80 - 1768*w**3 + 460*w**4 + 129*w - 1169*w + 1255*w**4.
5*(w - 1)*(7*w + 2)**4
Let v be (-21361)/(-10420) + 2/(-40). Let i be 5 + (-23)/(-15)*-3. Find o, given that -22/5*o + 14/5*o**4 + i*o**5 - 4/5*o**2 - v + 4*o**3 = 0.
-5, -1, 1
Let b be ((-2)/(-3))/(564/(-81) + 7). Factor 177*l**3 - b*l - 90*l**3 + 3*l**2 - 84*l**3.
3*l*(l - 2)*(l + 3)
Let n(z) = 5*z**5 + 10*z**4 - 75*z**3 - 20*z**2 + 120*z. Let r(k) = -k**3 - k**2 + 9*k. Let j(v) = -n(v) - 20*r(v). Suppose j(g) = 0. Calculate g.
-5, -2, 0, 2, 3
Factor 1/3*d**2 + 15*d + 0.
d*(d + 45)/3
Let p(t) = 16*t**4 + 3586*t**3 - 3572*t**2 - 30*t. Let l(n) = -13*n**4 - 3584*n**3 + 3572*n**2 + 25*n. Let o(m) = 6*l(m) + 5*p(m). Factor o(i).
2*i**2*(i - 1786)*(i - 1)
Suppose 0 = -9*d + 7*d - 24. Let p be 26/30 + d/(-15). Factor 0*m + 0 + 20/3*m**2 - p*m**3.
-5*m**2*(m - 4)/3
Let q(g) = -g**2 - 5*g - 2. Let h be q(-3). Suppose 35 = 13*l - h. Factor 30*d**3 + 17*d**5 - 14*d**5 + 18*d**2 + 9*d**l + 20*d**4.
d**2*(d + 3)**2*(3*d + 2)
Suppose -5913*c + 2052 = -5229*c. Solve c + 3*b**3 - 3/4*b**2 - 12*b = 0 for b.
-2, 1/4, 2
Let z(o) be the first derivative of 18*o**5/5 - 366*o**4 - 982*o**3/3 - 82*o**2 + 1659. Solve z(m) = 0.
-1/3, 0, 82
Let f(u) be the third derivative of -21*u**8/32 + 59*u**7/5 - 995*u**6/16 + 451*u**5/4 - 377*u**4/4 + 42*u**3 + 13*u**2 + u. Let f(n) = 0. Calculate n.
2/7, 2/3, 3, 7
Let v(t) be the third derivative of t**8/2688 - t**6/240 + 2*t**2 - 1030*t. Factor v(d).
d**3*(d - 2)*(d + 2)/8
Let t(a) be the second derivative of a**4/12 - 341*a**3/2 - 512*a**2 + 3852*a. Factor t(s).
(s - 1024)*(s + 1)
Determine o, given that 1/2*o**4 + 1/6*o**5 - o + 0 - 5/2*o**3 + 17/6*o**2 = 0.
-6, 0, 1
Let m = 736 + -1124. Let c = 1166/3 + m. Suppose 4/3*d**2 - 2/3*d + c*d**3 - 4/3 = 0. Calculate d.
-2, -1, 1
Suppose 200*v - 207*v + 2142 = 0. Factor -674 - 255 - 385 + v + 4*r**3 - 192*r + 20*r**2.
4*(r - 7)*(r + 6)**2
Let c be -9 + 5/(40/432). Suppose 3*q - 37 = 5*f, -5*f + 4 = -4*q + c. Determine d so that 0*d**q + 4/3*d**3 + 0 + 0*d**2 - 2/3*d**5 - 2/3*d = 0.
-1, 0, 1