*4/60 - 2*g**2 - 2287*g. Factor v(t).
t*(t + 169)*(5*t + 2)/5
Let w = 86793/4 - 21698. Solve h + w*h**3 + 0 - 5/4*h**2 = 0.
0, 1, 4
Let a(h) = 3*h - 11. Let c be a(6). Suppose -2*m - 50 = -c*m. Factor -m*t**2 + 3 + 12*t**3 + 80*t + 29 + 66*t**2.
4*(t + 2)**2*(3*t + 2)
Let -61/3*j**3 + 2/3*j**4 - 833/3 + 181*j**2 - 1379/3*j = 0. What is j?
-1/2, 7, 17
Let r = -10893/5 + 2181. Let m(c) be the first derivative of 3/4*c**4 - 10/3*c**6 + r*c**5 - 2/3*c**3 - 1 + 0*c**2 + 0*c. Factor m(x).
-x**2*(2*x - 1)**2*(5*x + 2)
Let p(u) be the third derivative of -u**5/90 + 7*u**4/6 + 520*u**3/9 - 6382*u**2. Factor p(d).
-2*(d - 52)*(d + 10)/3
Let a(r) be the third derivative of -r**7/210 + r**6/40 + r**5/20 - 7*r**4/24 - r**3 + 957*r**2. Factor a(t).
-(t - 3)*(t - 2)*(t + 1)**2
Let y(p) be the third derivative of p**7/2100 + p**6/90 + p**5/12 + 5*p**3/2 + 10*p**2. Let x(t) be the first derivative of y(t). Factor x(i).
2*i*(i + 5)**2/5
Let f(n) be the first derivative of -n**4/24 - 64*n**3/9 - 207*n**2/4 - 123*n + 8194. Factor f(v).
-(v + 2)*(v + 3)*(v + 123)/6
Let w(p) be the first derivative of p**5/60 + 41*p**4/12 + 1681*p**3/6 + 68921*p**2/6 + 85*p - 97. Let v(u) be the first derivative of w(u). Factor v(l).
(l + 41)**3/3
Let k be 7/28*40 - (-3280)/(-330). Let j(b) be the second derivative of 4/11*b**2 + 0 - 46*b + 1/110*b**5 - 1/33*b**3 - k*b**4. Factor j(n).
2*(n - 4)*(n - 1)*(n + 1)/11
Let n = -2017438/5 - -401904. Let z = 87608/55 + n. Let 24/11 + z*y**2 - 54/11*y**5 + 96/11*y - 42/11*y**3 - 126/11*y**4 = 0. What is y?
-1, -2/3, 1
Let a(p) = -p**2 - 2*p + 1. Let v(s) = 2*s**2 - 33*s + 76. Let m be v(14). Let o(t) = -8*t**2 + 2*t + 42. Let q(u) = m*a(u) - o(u). Factor q(i).
2*(i - 9)*(i + 2)
Let c(t) be the third derivative of -t**7/280 - 15*t**6/16 + 57*t**5/10 - 229*t**4/16 + 153*t**3/8 + 476*t**2. Solve c(u) = 0 for u.
-153, 1
Let y(g) = 7*g**3 + 39*g**2 - 40*g + 3. Let d(c) = 18*c**3 + 118*c**2 - 120*c + 8. Suppose 179 = -31*a - 69. Let z(q) = a*y(q) + 3*d(q). Solve z(k) = 0.
0, 1, 20
Let b(r) = -28*r**3 + 359*r**2 - 397*r - 11. Let q(v) = 10*v**3 - 118*v**2 + 132*v + 4. Let l(u) = -4*b(u) - 11*q(u). Factor l(p).
2*p*(p - 68)*(p - 1)
Suppose -36/5 - 51*p + 366/5*p**2 - 15*p**3 = 0. Calculate p.
-3/25, 1, 4
Let o(l) = -19*l**3 - 4578*l**2 - 375237*l + 107594. Let z(k) = 58*k**3 + 13732*k**2 + 1125712*k - 322784. Let i(f) = -16*o(f) - 5*z(f). Factor i(b).
2*(b + 164)**2*(7*b - 2)
Let a(i) = -i**3 - 840*i**2 - 172131*i + 702226. Let g(r) = -3*r**3 - 2521*r**2 - 516380*r + 2106675. Let k(n) = -19*a(n) + 6*g(n). Factor k(l).
(l - 4)*(l + 419)**2
Let q(x) be the third derivative of -x**6/660 + 3*x**5/110 + 41*x**4/66 + 40*x**3/11 + 338*x**2. Factor q(w).
-2*(w - 15)*(w + 2)*(w + 4)/11
What is i in -18*i + 111/10*i**2 + 0 - 1/10*i**4 - 7/5*i**3 = 0?
-20, 0, 3
Let k be (-16)/(-10) + 4/10. Factor -r - 159*r**3 + 3*r**4 + 160*r**3 - r**k - 2*r**4.
r*(r - 1)*(r + 1)**2
Let o(b) be the third derivative of -b**5/210 + 3*b**4/14 - 8*b**3/3 - b**2 + 1680*b. Determine u so that o(u) = 0.
4, 14
Let l be (-139)/10 - 21/210 - 47401/(-1772). Factor l*r + 0 - 57/8*r**2 + 3/8*r**3.
3*r*(r - 17)*(r - 2)/8
Let t(p) = -21*p**2 - 43*p - 14. Let v(f) = -6*f - 52. Let j be v(-8). Let c(u) = -20*u**2 - 42*u - 12. Let l(z) = j*t(z) + 6*c(z). Let l(r) = 0. Calculate r.
-2, -2/9
Let z(x) = 32*x - 414. Suppose -91 = -7*a - 0. Let q be z(a). Factor 3*c**q + 1/3*c**5 + c**3 + 0*c + 0 - 5/3*c**4.
c**2*(c - 3)**2*(c + 1)/3
Let g(z) be the second derivative of -z**8/672 + 5*z**7/168 + z**6/16 - z**5/3 - 8*z**4/3 + 51*z. Let k(q) be the third derivative of g(q). Solve k(c) = 0.
-1, 1/2, 8
Let z = -9098 - -9100. Let r(x) be the first derivative of 0*x + 16 + 46/33*x**3 - 5/22*x**4 + 10/11*x**z. Solve r(h) = 0 for h.
-2/5, 0, 5
Let f be (238/(-49) + 5)*((-49)/(-140) - 0). Let n(a) be the third derivative of 0*a + 27*a**2 + 1/2*a**3 + 0 - 1/8*a**4 + 1/40*a**6 - f*a**5. Factor n(b).
3*(b - 1)**2*(b + 1)
What is j in 4/7*j**4 - 184/7*j + 16/7*j**3 - 156/7*j**2 + 320/7 = 0?
-8, -2, 1, 5
Let a(z) be the second derivative of -z**5/130 + 20*z**4/39 - 367*z**3/39 - 408*z**2/13 + 13994*z. Determine n, given that a(n) = 0.
-1, 17, 24
Let f(z) be the first derivative of -z**8/420 + z**6/90 + 10*z**3 - 63. Let c(i) be the third derivative of f(i). Factor c(y).
-4*y**2*(y - 1)*(y + 1)
Factor 447*j - 1/3*j**2 - 2678/3.
-(j - 1339)*(j - 2)/3
Let c(l) be the first derivative of 0*l - 5/3*l**3 + 0*l**2 - 66 + 5/4*l**4. Suppose c(d) = 0. Calculate d.
0, 1
Let j(l) = -13*l**3 - 458*l**2 + 29*l + 474. Let m(v) = 8*v**3 + 306*v**2 - 18*v - 316. Let r(s) = 5*j(s) + 8*m(s). Suppose r(c) = 0. What is c?
-1, 1, 158
Let k(o) = 2*o**2 - 50*o + 310. Let h be k(14). Let n(c) be the second derivative of -1/3*c**4 - 9*c - 9/2*c**h + 7/4*c**3 + 0 + 1/40*c**5. Solve n(b) = 0.
2, 3
Let s(o) be the first derivative of o**6/480 - o**5/40 - 7*o**4/96 - 8*o**2 + 2*o + 11. Let i(d) be the second derivative of s(d). Factor i(m).
m*(m - 7)*(m + 1)/4
Let d(w) be the third derivative of -w**6/720 - w**5/15 + w**4/36 + 8*w**3/3 - 3*w**2 + 74*w. Factor d(c).
-(c - 2)*(c + 2)*(c + 24)/6
Let g(d) be the third derivative of d**6/30 - 2*d**5/15 - 119*d**4/6 - 208*d**3 - d**2 - d + 1266. Factor g(m).
4*(m - 13)*(m + 3)*(m + 8)
Let r be ((-11425)/525 - -22)*(-12)/(-50)*5. What is n in -36/7*n**2 - r*n**3 - 432/7 - 216/7*n = 0?
-6
Suppose -21*n**2 - 20 - 21*n**2 - 105*n + 31*n - 2*n**2 - 6*n**3 = 0. Calculate n.
-5, -2, -1/3
Let z = 482 + -466. Factor 3 + q**2 - 11*q + 6 - 3 - z - 2.
(q - 12)*(q + 1)
Let v(y) = y**3 + 7*y**2 - 2*y + 6. Let c be v(-8). Let p be 48/(-20) + (-12)/c*21. Find f, given that 3/5*f**2 - 3*f + p = 0.
2, 3
Let o(r) be the first derivative of -r**3/9 + 107*r**2/18 - 88*r/3 + 5908. What is p in o(p) = 0?
8/3, 33
Let s(r) be the second derivative of r**6/30 - 103*r**5/40 + 433*r**4/24 - 473*r**3/12 + 141*r**2/4 - 9297*r. Determine p, given that s(p) = 0.
1/2, 1, 3, 47
Let z(s) = -11*s**2 - 70*s - 84. Let m(i) = -22*i**2 - 143*i - 168. Let t(u) = 2*m(u) - 5*z(u). Find f such that t(f) = 0.
-42/11, -2
Let g(x) be the second derivative of 40 - 13/8*x**2 + x - 1/80*x**5 + 1/24*x**3 + 13/48*x**4. Factor g(l).
-(l - 13)*(l - 1)*(l + 1)/4
Let h(m) be the second derivative of -5*m**4/12 + 1440*m**3 - 1866240*m**2 - 2*m + 1096. Find l such that h(l) = 0.
864
Suppose -3800*m + 5*a = -3797*m + 11, -31 = -5*m - 4*a. Factor 16/7*h**2 + 0 - 4/7*h**m + 0*h.
-4*h**2*(h - 4)/7
Suppose 663 = 117*m + 195. Let s(b) be the second derivative of 0*b**3 - 2 - 1/2*b**m + 0*b**2 + 1/10*b**6 - 12*b + 3/20*b**5. Factor s(t).
3*t**2*(t - 1)*(t + 2)
Let x(d) = -5*d**2 + d - 3. Let f(m) = -2*m**3 - 209*m**2 + 487*m - 353. Let c(o) = 2*f(o) - 22*x(o). Factor c(s).
-4*(s - 2)*(s - 1)*(s + 80)
Let z(r) be the second derivative of -r**6/840 + 9*r**5/70 - 81*r**4/14 - 16*r**3/3 - 40*r. Let v(t) be the second derivative of z(t). Factor v(l).
-3*(l - 18)**2/7
Let f(l) be the second derivative of -l**7/42 + 8*l**6 - 19199*l**5/20 + 127940*l**4/3 + 3200*l**3 - 256000*l**2 + 5*l + 130. Factor f(a).
-(a - 80)**3*(a - 1)*(a + 1)
Let m(c) be the first derivative of -c**5/330 - c**4/12 + c**2/2 - 34*c + 120. Let r(s) be the second derivative of m(s). Suppose r(l) = 0. Calculate l.
-11, 0
Let m(a) be the second derivative of 1/120*a**5 + 5/72*a**4 + 155*a - 5/3*a**2 - 1/9*a**3 + 0. Let m(g) = 0. Calculate g.
-5, -2, 2
Let c(x) be the first derivative of -x**6/48 + 33*x**5/20 - 4*x**4 - 4404. Factor c(a).
-a**3*(a - 64)*(a - 2)/8
Let f(w) = 5*w + 13*w + w - 10*w + 882*w**2 - 144*w**3 - 75. Let s(x) = x**3 - x - 1. Let h(u) = -f(u) + 3*s(u). Determine t, given that h(t) = 0.
-2/7, 2/7, 6
Let u = -63 - -54. Let g be u/(-2) - (-1)/(-2). Factor -6*m**2 - 1 + 4*m + 41*m**3 - m**g - 77*m**3 + 40*m**3.
-(m - 1)**4
Let g(w) be the first derivative of -4/11*w - 4/33*w**3 - 41 + 2/11*w**4 - 5/11*w**2 + 8/55*w**5 + 1/33*w**6. What is j in g(j) = 0?
-2, -1, 1
Determine l, given that -48*l - 1012 - 221*l**2 - 191*l**2 + 416*l**2 = 0.
-11, 23
Let p(v) be the first derivative of -2*v**3/9 - 40*v**2/3 - 74*v - 294. Factor p(o).
-2*(o + 3)*(o + 37)/3
Let u = 10/17 + -203/374. Let p(t) be the second derivative of 0 - 4/33*t**3 - 1/165*t**6 + 0*t**2 - 2*t - u*t**5 - 4/33*t**4. Fi