a**2 + 9*a + 11. Let g(s) be the first derivative of c(s). Factor g(q).
5*(q - 5)*(q - 2)
Let x = 155 - 117. Let o(r) = r**3 - r**2 + 99. Let b be o(0). Determine q, given that x*q**3 - 30 + b*q - 4*q - 63*q**3 - 40*q**2 = 0.
-3, 2/5, 1
Let k(o) be the third derivative of -2/25*o**5 + 0 + 4*o**2 - 3/10*o**4 - 8/15*o**3 - 1/150*o**6 - 15*o. Suppose k(w) = 0. What is w?
-4, -1
Factor 230/9*y - 16/9*y**2 + 82/3.
-2*(y + 1)*(8*y - 123)/9
Let l = 819 + -834. Let r be (l/(-30))/(1/6) + -1. Suppose 0 - 2/7*w**r + 2*w = 0. What is w?
0, 7
Let m be -48 + 7854/136 - (36/(-16))/(-3). Factor 1/2*h**2 + 81/2 - m*h.
(h - 9)**2/2
Let c(f) = 13*f**3 - 569*f**2 + 220*f - 6. Let z(a) = -168*a**3 + 7401*a**2 - 2859*a + 81. Let v(h) = -27*c(h) - 2*z(h). Solve v(x) = 0 for x.
0, 2/5, 37
Let c(l) be the third derivative of 0*l + 87*l**2 - 1/20*l**5 + 7/24*l**4 + l**3 + 0. Suppose c(q) = 0. Calculate q.
-2/3, 3
Let m(v) be the first derivative of -v**8/10080 - v**7/1680 - v**6/720 - v**5/720 + 26*v**3 - v**2/2 + 9. Let q(u) be the third derivative of m(u). Factor q(x).
-x*(x + 1)**3/6
Let l(u) be the second derivative of -5*u**5/4 + 455*u**4/4 + 195*u**3/2 - 1925*u**2/2 + 6079*u. Solve l(h) = 0.
-7/5, 1, 55
Let z(r) be the second derivative of -5*r**4/12 - 2450*r**3/3 - 600250*r**2 - 1761*r. Factor z(v).
-5*(v + 490)**2
Factor 4/5*u**5 - 29/5*u**4 + 67/5*u**3 - 67/5*u**2 + 29/5*u - 4/5.
(u - 4)*(u - 1)**3*(4*u - 1)/5
Let o(r) be the third derivative of -r**7/75 + 19*r**6/50 - 61*r**5/30 + 13*r**4/10 - 71*r**2 - 8*r. Solve o(q) = 0 for q.
0, 2/7, 3, 13
Let h(j) be the second derivative of -j**4/20 + 372*j**3/5 - 207576*j**2/5 - 600*j - 2. Factor h(x).
-3*(x - 372)**2/5
Let l(p) = 2*p**3 + 10*p**2 - 14*p - 10. Let f = -843 + 837. Let k be l(f). Determine q so that 1/2*q**k + 2 + 5/2*q = 0.
-4, -1
Let i = -29480 + 29480. Factor i*g - 2/21*g**2 + 8/21.
-2*(g - 2)*(g + 2)/21
Let w be (-7)/(-21) + (-6)/(882/72835). Let z = -495 - w. Factor 0 + 4/7*k**2 + 4/7*k**3 + 0*k + z*k**4.
k**2*(k + 2)**2/7
Let a(j) = -38*j - 2199. Let n be a(-58). Let h(f) be the second derivative of 1/3*f**3 - 3/10*f**n - 2/15*f**6 + 0*f**2 + 0*f**4 - 2*f + 0. Factor h(v).
-2*v*(v + 1)**2*(2*v - 1)
Factor -3653*x**5 + 10398*x**3 - 9801 - 201*x**4 + 29601*x + 1812*x**5 - 29998*x**2 + 1842*x**5.
(x - 99)**2*(x - 1)**3
Let i = 11854/11 - 47405/44. Let z(g) be the second derivative of 1/4*g**3 + 0 - i*g**2 + 4*g - 1/8*g**4 + 1/40*g**5. Let z(x) = 0. Calculate x.
1
Let y = 551797 + -551797. Determine w so that -12*w**3 + 6/5*w + 8/5*w**2 + 72/5*w**4 - 26/5*w**5 + y = 0.
-3/13, 0, 1
Let i(f) be the third derivative of -1/315*f**7 + 0 + 0*f**3 + 43*f**2 - 4/9*f**5 + 0*f + f**4 + 13/180*f**6. Factor i(c).
-2*c*(c - 9)*(c - 2)**2/3
Let p(x) = 25*x**2 + 1248*x + 211. Let w(d) = 8*d**2 + 415*d + 70. Let b(j) = -6*p(j) + 21*w(j). Find y, given that b(y) = 0.
-68, -1/6
Let b(h) = 4*h**2 - 137*h + 4894. Let n(g) = -g**2 - 3*g + 2. Let l(a) = -a. Let w(z) = -2*l(z) + n(z). Let q(p) = b(p) + 3*w(p). Factor q(u).
(u - 70)**2
Suppose 0*f + 3*f + 219 = 3*y, 0 = 3*f - 3. Factor 80*l - 10 + y + 20 - 4*l**2.
-4*(l - 21)*(l + 1)
Let t(w) be the first derivative of -w**3/3 - 4*w**2 + 5*w + 18. Let y be t(-8). Factor y*j**2 + 3*j + 7*j - j + j.
5*j*(j + 2)
Let x(f) be the first derivative of -13/3*f**3 + 155 - 6*f**2 - 1/10*f**5 - 9/8*f**4 + 0*f. Solve x(h) = 0 for h.
-4, -3, -2, 0
Let m be (207/36 - 6)/((-2)/40). Let -8*f - 46*f**3 - 32*f**5 + 10*f**4 - 3 - 58*f**2 + 30*f**5 + 16*f**m + 11 = 0. Calculate f.
-1, 2/7, 2
Factor -1/12*g**3 - 108 + 69/4*g + 1/6*g**2.
-(g - 9)**2*(g + 16)/12
Let z be (-411)/(-1370) - (-458)/540. Let d = z - -5/27. Suppose 0 - 2*i**4 + 2/3*i**2 + 0*i - d*i**3 = 0. Calculate i.
-1, 0, 1/3
Let l(s) be the third derivative of -2/63*s**7 + 1/30*s**6 + 1/168*s**8 - 1/4*s**4 + 4/45*s**5 - 30*s**2 + 2/9*s**3 + 0 + 0*s. Solve l(h) = 0.
-1, 1/3, 1, 2
Let y = 290 + -286. Factor 2*s**y - 718 + 718 + 6*s**3 + 4*s**2.
2*s**2*(s + 1)*(s + 2)
Suppose 11*t - 6*t - 230 = 0. Let h = 26 + t. Find u, given that -77*u - 4*u**3 - u**3 + h*u - 10*u**2 = 0.
-1, 0
Let y(u) be the second derivative of -u**6/60 + 4*u**5/5 - 23*u**4/12 + 49*u**2/2 + 4*u + 4. Let n(i) be the first derivative of y(i). Factor n(p).
-2*p*(p - 23)*(p - 1)
Let a(q) be the second derivative of 0 + 0*q**4 + 0*q**2 - 26*q + 0*q**3 + 1/2*q**5 - 1/6*q**6. Solve a(f) = 0.
0, 2
Suppose 14*m - 4*m + 60*m = -8*m. Let r(f) be the second derivative of 5/12*f**4 + 0 + 0*f**2 - 1/4*f**5 - 14*f + m*f**3. Let r(z) = 0. What is z?
0, 1
Let c = 726 + -728. Let o be 5/c*(4 - (-120)/(-25)). Factor 10/3*l - 8/3 - 2/3*l**o.
-2*(l - 4)*(l - 1)/3
Let h(d) = -25*d - 511. Let i be h(-11). Let f be 6/(-27) - i/1260*5. Factor 4/7 + f*x + 1/7*x**2.
(x + 1)*(x + 4)/7
Factor 62/3*o + 2/3*o**2 + 0.
2*o*(o + 31)/3
Let l(d) be the first derivative of 5*d**4/12 - 5*d**3/6 - 49*d + 110. Let o(h) be the first derivative of l(h). Solve o(i) = 0 for i.
0, 1
Solve 606744 + 1908*h + 3/2*h**2 = 0.
-636
Let q(s) be the third derivative of -s**6/1260 + 7*s**5/90 - 25*s**4/36 - 25*s**3/7 + 2161*s**2. Factor q(b).
-2*(b - 45)*(b - 5)*(b + 1)/21
Let k(r) = 3*r**5 - 2*r**3 - 2*r**2 - 3*r - 2. Let o(a) = -a**4 - a**5 + 1 + 254*a + a**3 - 253*a + 2*a**4. Let i(j) = -k(j) - 2*o(j). Factor i(l).
-l*(l - 1)*(l + 1)**3
Factor -236/9*f + 2/9*f**2 - 238/9.
2*(f - 119)*(f + 1)/9
Factor -11/5*d**3 - 39/5*d**2 - 41/5*d - 14/5 + 1/5*d**4.
(d - 14)*(d + 1)**3/5
Suppose 0*r - r + 5*p = -1, -4*r + 4 = -4*p. Suppose -k**4 - r - 26 - 17*k**3 - 54*k - 36*k**2 + 7*k**3 = 0. Calculate k.
-3, -1
Let x(i) = 2*i**3 - 40*i**2 + 10*i + 76. Let a(z) = -6*z + z**2 - 31 + 7*z - 36 + 65. Let y(l) = 12*a(l) + x(l). Factor y(g).
2*(g - 13)*(g - 2)*(g + 1)
Let r(s) = 3*s**2 - 13*s - 51. Let b be r(7). Let q(v) be the third derivative of 0 + 1/6*v**b + 0*v + 5/3*v**3 + 25/24*v**4 - 23*v**2. Factor q(u).
5*(u + 2)*(2*u + 1)
Factor 53*m**2 + 41*m**2 + 57*m**2 - 185*m**2 + 54*m**2 - 210*m + 50*m**3 + 5*m**4 + 135.
5*(m - 1)**2*(m + 3)*(m + 9)
Let l(w) be the second derivative of 0*w**3 + 0 - 8*w**2 - 7/120*w**5 - w - 1/80*w**6 - 1/24*w**4. Let o(r) be the first derivative of l(r). Factor o(z).
-z*(z + 2)*(3*z + 1)/2
Determine t, given that -333 + 3/4*t**2 - 51*t = 0.
-6, 74
Let s(h) = 53*h**2 + 33*h + 43. Let o be s(-16). Factor b - o + b**2 + 13083.
b*(b + 1)
Determine f so that -2448*f**2 + 2447*f**2 - 161 - 143 + 46*f - 200 = 0.
18, 28
Let o = 2422 + -29059/12. Let x(b) be the second derivative of -5/6*b**3 + 1/4*b**5 - 5/2*b**2 + 0 + o*b**4 + 11*b. Solve x(h) = 0 for h.
-1, 1
Let w = 9 + -7. Let r = 414 + -412. Factor -4*f**2 + f**w - r*f**2 - 5*f**3.
-5*f**2*(f + 1)
Solve 879/2*f + 3/2*f**3 + 291 + 150*f**2 = 0.
-97, -2, -1
Suppose a - 5*a - 144 = -5*d, -4*a = d - 48. Suppose -d*t + 20 = -22*t. Find c such that 2/9 - 4/9*c + 2/9*c**t = 0.
1
Let s(w) be the third derivative of -w**6/30 - w**5/15 + 49*w**4/6 + 98*w**3/3 + 769*w**2. Determine r so that s(r) = 0.
-7, -1, 7
Let h be -2 + ((-170)/25)/(5/400). Let b be 6/39 + (-735)/h. Find o, given that -9*o**3 - 39/2*o**2 - 6 - 18*o - b*o**4 = 0.
-2, -1
Let k be (0/2 - 70/28)*-4. Suppose 6*v = k*v + 3*l - 17, v - 14 = -4*l. Determine w so that 1/4*w**3 + 0 + 1/12*w**5 + 1/3*w**4 - 1/3*w - 1/3*w**v = 0.
-2, -1, 0, 1
Suppose 0 = -16*p - 2*c + 38, -3*p + 77*c = 81*c + 40. Factor 0 - 2/7*d**5 + 0*d**3 - 12/7*d**p + 0*d + 64/7*d**2.
-2*d**2*(d - 2)*(d + 4)**2/7
Suppose -33*g**4 - 3/2*g**5 - 474*g**2 - 399/2*g**3 - 168 - 474*g = 0. What is g?
-14, -4, -2, -1
Factor -67*s**2 + 6288*s + 2455199 + 35*s**2 + 15985 + 36*s**2.
4*(s + 786)**2
Let l(t) be the second derivative of -t**4/12 + 3*t**3/2 - 7*t**2 + 204*t - 3. Factor l(q).
-(q - 7)*(q - 2)
Factor 3/7*o**2 + 900/7*o + 1788/7.
3*(o + 2)*(o + 298)/7
Let p be -4*(-333)/22838*33/9. Let d = p - 2/601. Factor -14/19*r**2 + d*r + 0.
-2*r*(7*r - 2)/19
Factor -44/7 - 1/7*k**2 + 24/7*k.
-(k - 22)*(k - 2)/7
Let q(n) = 35*n**2 + 3948*n + 1573. Let j(v) = 60*v**2 + 7899*v + 3149. Let r(l) = 3*j(l) - 5*q(l). Factor r(u).
(u + 791)*(5*u + 2)
Let s(h) = 5*h. Let t(q) = -q**3 - 3*q**2 + 9*q - 4. Let p be t(-5). Let z be s(p). Factor 5*m**z - 3*m**3 - 10*m**2 + 5 + 5*m - 14*m**3 + 5*m**4 + 7*m**3.
5*(m - 1)**2*(m + 1)**3
Suppose -29 = 2*t - 2