*q**2 + 4*q**3 + r*q**5 - 5/6*q**4 + 0*q + 0. Factor p(c).
4*(c - 3)*(c - 2)
Suppose -5*o + 5*u + 15 = 0, -4*u - 1048 + 1036 = o. Factor -2/23*c**5 + 0*c + 0*c**4 + 2/23*c**3 + 0 + o*c**2.
-2*c**3*(c - 1)*(c + 1)/23
Let i be 18/216 + 11/165. Let l(k) be the first derivative of -22 + 0*k + 1/5*k**3 + i*k**4 - 3/5*k**2. Factor l(b).
3*b*(b - 1)*(b + 2)/5
Let h(j) = -38*j**2 + 228*j + 4. Let x be h(6). Let l(s) be the first derivative of s**3 - 3/2*s**2 + 3/4*s**x - 3*s - 11. What is d in l(d) = 0?
-1, 1
Suppose 119 = 3*r + 113. Find o, given that 434*o**2 - 54 - 9*o - 111*o**2 - 104*o**r - 110*o**2 - 106*o**2 = 0.
-3, 6
Suppose 0 = 4*u + 2*a - 18, -4*a + a - 33 = -4*u. Determine t, given that 3*t**2 - 6*t**2 - 2*t**3 - 4*t + u*t**3 + 5*t**2 - 2*t**4 = 0.
-1, 0, 1, 2
Let w be (-4)/18 - (-120)/54. Let h be (1 - 2)/(3*w/(-12)). Factor 3*g - 52 + 56 + 8*g**2 + h*g**3 + 7*g + 0*g**3.
2*(g + 1)**2*(g + 2)
Let u(x) be the second derivative of 0*x**3 - 1/357*x**7 + 1/85*x**5 + 7*x + 0*x**4 + 0*x**2 - 1/255*x**6 + 0. Determine c so that u(c) = 0.
-2, 0, 1
Let h(q) be the third derivative of 13*q**6/480 - 3*q**5/40 - 7*q**4/32 + 5*q**3/12 + 2*q**2 + 133*q. Factor h(i).
(i - 2)*(i + 1)*(13*i - 5)/4
Let r(v) = 6*v**2 - 4 - 14 + 4. Let q(z) = -7*z**2 + 13. Suppose 0 = 52*b - 49*b + 9. Let j(a) = b*r(a) - 2*q(a). What is o in j(o) = 0?
-2, 2
Let u be (-15)/360*417 + 9 - -14. Find x, given that 3/8*x + 3*x**2 + u*x**3 + 0 = 0.
-1/3, -1/5, 0
Let m = 134756/7773 + -8/2591. Let o(p) be the first derivative of 22*p**2 + 33 + m*p**3 - 8*p. Factor o(r).
4*(r + 1)*(13*r - 2)
Let j(v) be the first derivative of -1/5*v**5 + 1/18*v**6 + 0*v + 1/3*v**3 - 5/12*v**4 + 86 + 2/3*v**2. Factor j(h).
h*(h - 4)*(h - 1)*(h + 1)**2/3
Let w = 55 - 42. Suppose -d + w = 3*f + d, -d - 11 = -2*f. Factor f - 13*b + 5*b**3 + 39*b + 15*b**2 - 11*b.
5*(b + 1)**3
Let t = 115 - 109. Suppose 3*v - 3*x + 4 = 1, -x = -4. Let -2*l**2 - 10*l**3 - t*l**3 + 20*l**v + 2*l**4 - 4*l = 0. Calculate l.
-2, -1, 0, 1
Let o(b) = -6*b**4 - 15*b**3 + 78*b**2 - 42*b. Let x(n) = -10*n**2 - n**2 + n**4 - 73*n**3 + 6*n + 75*n**3. Let a(v) = -2*o(v) - 15*x(v). Factor a(t).
-3*t*(t - 1)**2*(t + 2)
Let n(r) be the first derivative of 625*r**4/8 - 24425*r**3/3 + 1951*r**2 - 156*r + 1744. Suppose n(c) = 0. What is c?
2/25, 78
Let c(b) be the second derivative of -b**7/630 + b**6/10 - 27*b**5/10 + 2*b**4/3 + 21*b - 1. Let u(m) be the third derivative of c(m). Let u(h) = 0. What is h?
9
Let x(z) = 15 - 14 + z**2 + z - 2*z + 0*z**2. Let s(j) = -5*j + 6. Let n(b) = -3*s(b) + 3*x(b). Find d, given that n(d) = 0.
-5, 1
Let u(z) be the second derivative of -z**5/70 - 151*z**4/42 - 197*z**3/7 - 63*z**2 + 5*z - 187. Factor u(c).
-2*(c + 1)*(c + 3)*(c + 147)/7
Let s(y) be the second derivative of 5/2*y**3 + 1/120*y**6 + 0 + 0*y**2 + 0*y**4 + 6*y + 1/40*y**5. Let o(a) be the second derivative of s(a). Factor o(f).
3*f*(f + 1)
Find o, given that -1808*o**2 + 3624*o**2 - 1828*o**2 - 1833 - 7335*o = 0.
-611, -1/4
Let v(w) = 36*w**3 + 17577*w**2 + 2156980*w - 480190. Let y(r) = 36*r**3 + 17588*r**2 + 2156980*r - 480192. Let g(f) = 4*v(f) - 5*y(f). Factor g(o).
-4*(o + 245)**2*(9*o - 2)
Find r such that 68*r**3 - 26*r**3 + 11*r**2 - 24 - 106*r - 25*r**3 - 8*r**3 = 0.
-4, -2/9, 3
Let z(b) = 3*b**2 + 834*b - 2784. Let t(f) = -2*f**2 - 424*f + 1392. Let l(g) = 5*t(g) + 2*z(g). Factor l(x).
-4*(x - 3)*(x + 116)
Let b be 7*((-417)/(-189) - (-8)/36). Suppose v + 0*c + 4*c = 23, 0 = -v + 4*c - b. Find n such that -5*n**v - 2/3*n + 0 - 11/3*n**2 = 0.
-2/5, -1/3, 0
Let l(t) be the third derivative of -8 + 5/144*t**4 + 0*t + 3*t**2 - 1/360*t**5 - 1/9*t**3. Factor l(i).
-(i - 4)*(i - 1)/6
Let a(g) = 4*g**2 + 27*g + 21. Let l = 499 - 505. Let p be a(l). Factor -b**2 - 1/2*b - 1/2*b**p + 0.
-b*(b + 1)**2/2
Let n(t) be the third derivative of -t**7/210 + t**6/8 - 47*t**5/60 + 11*t**4/8 - 2662*t**2. Find w, given that n(w) = 0.
0, 1, 3, 11
Let g(v) be the third derivative of -v**8/1344 - 13*v**7/840 - 17*v**6/160 - 21*v**5/80 - 3*v**2 - 248. Suppose g(o) = 0. Calculate o.
-7, -3, 0
Suppose 19*c - 10 = 14*c. Factor -7*k**c + 9 - 5*k - 2*k + 3*k**3 - 1 - 5.
(k - 3)*(k + 1)*(3*k - 1)
Let c be ((-215)/20 + 8)*380/(-418). What is i in -200*i - 4000 - c*i**2 = 0?
-40
Let p(s) = -158*s + 1274. Let j be p(8). Suppose 3*b + 15 = 3*a, -2*b - j = -32*a + 28*a. Factor a - 2/13*t**2 + 10/13*t.
-2*t*(t - 5)/13
Let i(k) = -176*k + 5. Let x be i(-5). Factor -5*b**2 - x + 464 + 481 - 20*b.
-5*(b - 2)*(b + 6)
Let w(l) be the third derivative of -66*l**2 + 23/30*l**5 + 135*l**3 + 0*l + 0 + 1/60*l**6 + 57/4*l**4. Find g, given that w(g) = 0.
-9, -5
Let r(t) = -63*t + 3. Let p be r(8). Let v = -2503/5 - p. Factor -v - 3/5*j**2 - 7/5*j.
-(j + 2)*(3*j + 1)/5
Let o(b) = 155*b**3 - 2615*b**2 + 1036*b - 107. Let g(f) = -78*f**3 + 1308*f**2 - 519*f + 54. Let k(y) = -5*g(y) - 3*o(y). Factor k(l).
-3*(l - 17)*(5*l - 1)**2
Let y(k) = -62*k**3 - 431*k**2 - 659*k - 92. Let h(g) = 187*g**3 + 1294*g**2 + 1975*g + 277. Let i(w) = 2*h(w) + 7*y(w). Find d such that i(d) = 0.
-5, -2, -3/20
Let w(q) be the third derivative of q**8/672 - 3*q**7/140 - 13*q**6/240 + 137*q**5/120 + 7*q**4 + 49*q**3/3 + 110*q**2 - 2. Solve w(u) = 0 for u.
-2, -1, 7
Let d(n) = 70*n + 3. Let k be d(0). Suppose 4*q = -l + 18, 7*q = 2*q. Factor 2*j**3 + 8 - 4*j**k - 2 + 20*j**2 + 10*j - l*j**2.
-2*(j - 3)*(j + 1)**2
Let h(y) = -11*y**2 + 13*y - 10. Let m(r) be the second derivative of -5*r**4/6 + 7*r**3/3 - 6*r**2 + 53*r. Let n(u) = -6*h(u) + 7*m(u). Factor n(d).
-4*(d - 3)*(d - 2)
Let c(q) be the first derivative of -q**4 + 472*q**3/3 - 694*q**2 + 920*q + 5858. Factor c(k).
-4*(k - 115)*(k - 2)*(k - 1)
Let p(s) = 16*s**2 - 1147*s - 7. Let m(k) = 14*k**2 - 1148*k - 6. Let u(l) = 7*m(l) - 6*p(l). Factor u(z).
2*z*(z - 577)
Let h(r) = -5*r**2 - 2*r + 47. Let o(i) = 6*i**2 + 2*i - 59. Let w(s) = -5*h(s) - 4*o(s). Find k, given that w(k) = 0.
-1
Let z(r) be the first derivative of 0*r - 48 + 6*r**2 - 4/3*r**3. Factor z(q).
-4*q*(q - 3)
Suppose 5*l + 11 - 3 = -4*s, 2*l - 5*s = 10. Factor -33*m + l + 33*m**2 - 12 - 3 - 3*m**3 - 54*m**2.
-3*(m + 1)**2*(m + 5)
Let j be (36/75)/((-22919)/(-715) - 32). Factor 8 - j*c + 4/5*c**2.
4*(c - 10)*(c - 1)/5
Factor 116*z**2 + 25*z**4 + 4*z**5 + 0*z**5 - 3*z**5 - 350*z**3 + 238*z**3.
z**2*(z - 2)**2*(z + 29)
Let a(i) be the second derivative of 43/66*i**4 + 3*i + 13 + 36/11*i**2 + 7/220*i**5 - 4/165*i**6 - 1/462*i**7 - 26/11*i**3. Solve a(l) = 0.
-6, 1, 2
Let v = -189547 + 189550. Determine i, given that -2/15*i**5 - 34/15*i**2 - 2/5*i**4 + 0 + 4/5*i + 2*i**v = 0.
-6, 0, 1
Let t be (-13)/450*(-190)/(-76). Let n = 3/20 - t. Factor 0*r + n*r**5 + 0 + 2/3*r**4 + 2/9*r**2 + 2/3*r**3.
2*r**2*(r + 1)**3/9
Let q(f) = f**3 + 5*f**2 + 2*f - 8. Let l be q(-4). Let o be 3 - 3/(-3) - l. Factor c**3 + 0*c**4 - 4 - c**5 + 3*c**o - 7*c**2 - 6*c**4 + 14*c**2.
-(c - 1)**2*(c + 1)*(c + 2)**2
Suppose -2*f + 9 = k, 0*f - 15 = -f - 4*k. Let m(s) be the third derivative of 0 + 0*s**5 - 15*s**2 - 1/6*s**f + 1/240*s**6 + 0*s - 1/16*s**4. Factor m(l).
(l - 2)*(l + 1)**2/2
Let g be -128 - ((-10)/(-45) + (-80)/(-45)). Let y be ((-58)/(-10) - 6) + (-66)/g. Find s, given that -6/13*s**2 - 8/13*s**3 + 18/13*s - y = 0.
-2, 1/4, 1
Let d(c) be the first derivative of -40 - 10*c**3 - 5/4*c**4 - 200*c + 90*c**2. Suppose d(r) = 0. Calculate r.
-10, 2
Suppose -32*h + 31*h + 28 = 5*s, -24 = 4*s - 5*h. Let z(w) be the second derivative of 1/3*w**3 + 0 - 25*w - 2*w**2 - 1/48*w**s. Factor z(b).
-(b - 4)**2/4
Find t, given that 26/3*t**2 - 1/3*t**5 + 4/3*t**4 + 43/3*t**3 + 0 - 24*t = 0.
-4, -2, 0, 1, 9
Let c be (160/253 - (13200/506 - 26)) + 4. Let x = -1096/143 - -102/13. Factor x*h**2 + c - 20/11*h.
2*(h - 5)**2/11
Let r(d) be the third derivative of 0*d + 0*d**3 - 2/105*d**7 + 0 + 26*d**2 - 1/6*d**6 - 2/3*d**4 - 8/15*d**5. Factor r(l).
-4*l*(l + 1)*(l + 2)**2
Determine h, given that 320*h - 364 + 46*h - 101*h + 2*h**2 + 97*h = 0.
-182, 1
Factor 4/5*f**3 + 0 - 36*f**2 - 376/5*f.
4*f*(f - 47)*(f + 2)/5
Let m(f) be the third derivative of -f**7/210 + 47*f**6/120 - 11*f**5/15 - 23*f**4/6 + 79*f**2 - 13*f. Factor m(y).
-y*(y - 46)*(y - 2)*(y + 1)
Let n be (-13)/(-3) + (-3)/(36/(-8)). Suppose 17*w - n = 16*w. Factor 3*r