84833. Let l(q) = -30*q**3 + 3065*q**2 - 101255*q + 1108995. Let j(z) = 6*l(z) - 35*t(z). Factor j(v).
-5*(v - 37)**2*(v - 27)
Let r(q) be the first derivative of q**6/10 - 1554*q**5/25 + 49134*q**4/5 + 405584*q**3/5 + 1229304*q**2/5 + 1647456*q/5 + 834. Factor r(c).
3*(c - 262)**2*(c + 2)**3/5
Let t(s) be the first derivative of 5*s**3/3 - 1765*s**2/2 + 6980*s + 701. Factor t(n).
5*(n - 349)*(n - 4)
Let q be -1 + -8 + (-2923)/(-316). Let k(s) be the first derivative of 2 - 1/3*s**3 + 0*s**2 + 0*s + q*s**4 + 1/5*s**5 - 1/6*s**6. Factor k(i).
-i**2*(i - 1)**2*(i + 1)
Let h be (300/7020)/(10/12). Let z(s) be the first derivative of 0*s**2 - 6/65*s**5 + h*s**6 + 0*s**3 + 0*s + 1/26*s**4 - 12. Find g, given that z(g) = 0.
0, 1/2, 1
Let k = -1/454107 + 24521785/3178749. Solve -528/7*t + 72/7 + 1122/7*t**2 - k*t**5 + 390/7*t**4 - 1002/7*t**3 = 0.
2/9, 1, 2, 3
Let a(n) be the first derivative of n**5/140 - 13*n**3/42 + 6*n**2/7 - 5*n - 36. Let p(u) be the first derivative of a(u). Factor p(b).
(b - 3)*(b - 1)*(b + 4)/7
Let v(u) = 3*u**2 + 228*u + 13223. Let l(g) = -16*g**2 - 1139*g - 66114. Let m(n) = 2*l(n) + 11*v(n). What is r in m(r) = 0?
-115
Suppose -121 = 15*f - 31. Let q(t) = t**3 - 20*t**2 - 14*t + 6. Let l(g) = -g**3 - g - 1. Let p(i) = f*l(i) - q(i). Factor p(o).
5*o*(o + 2)**2
Let o(a) = -10*a + 142. Let m be o(14). Factor 51*b**2 - 89*b**2 + 63*b + 4205 - 210*b - 143*b + 43*b**m.
5*(b - 29)**2
Suppose 205*n - 3614 = -2999. Suppose -6/7 + 4/7*g**n - 6/7*g**4 - 2/7*g + 12/7*g**2 - 2/7*g**5 = 0. Calculate g.
-3, -1, 1
Let h(o) be the first derivative of -1/9*o**3 - 5/12*o**4 + 10/3*o**2 + 4/3*o - 202. Factor h(g).
-(g - 2)*(g + 2)*(5*g + 1)/3
Let d = 72 + -65. Factor 8*j**3 - d*j + 3*j - 8*j**2 + 4*j**4 + 7 - 3 - 4*j**5.
-4*(j - 1)**3*(j + 1)**2
Let t(w) be the first derivative of -1 - 3/40*w**4 + 0*w - 16/3*w**3 + 0*w**2 + 1/600*w**6 - 1/100*w**5. Let j(q) be the third derivative of t(q). Factor j(v).
3*(v - 3)*(v + 1)/5
Let t = -103 + -74. Let p = t + 709/4. Determine n, given that 0 + 0*n - 1/4*n**2 - p*n**3 = 0.
-1, 0
Let p(l) = l**2 - 804*l + 51483. Let d(s) = -6*s**2 + 5637*s - 360381. Let y(m) = 2*d(m) + 15*p(m). Solve y(x) = 0.
131
Factor 4573*l**3 - 2291*l**3 + 24*l**2 - 2286*l**3 - 20*l.
-4*l*(l - 5)*(l - 1)
Let 9/2*v**4 - 1/2*v**5 + 0*v + 0 - 23/2*v**3 + 15/2*v**2 = 0. What is v?
0, 1, 3, 5
Suppose -9763*s + 9788*s - 13 = 37. Factor -15/2*o - 225/2 + 3/2*o**3 + 21/2*o**s.
3*(o - 3)*(o + 5)**2/2
Let g(t) be the second derivative of 5*t**4/4 - 27805*t**3/6 - 4635*t**2 + t + 1786. Let g(m) = 0. Calculate m.
-1/3, 1854
Let c be -26*2/(-30) - (45 + (-4110)/90). Factor -9/5*r - c + 3/5*r**2.
3*(r - 4)*(r + 1)/5
Let g = -788 - -793. Find o, given that -273*o + 335*o + 70*o**2 + 158*o + 200 + g*o**3 = 0.
-10, -2
Let l(t) be the second derivative of t**6/40 + 261*t**5/80 + 43*t**4/8 + t - 462. Factor l(q).
3*q**2*(q + 1)*(q + 86)/4
Suppose 3*w + 5*l - 35 = -2*w, 0 = -4*w + 4*l - 12. Let q = 8224 - 8221. Let -6/5*p + 4/5*p**w + 0 + 2/5*p**q = 0. Calculate p.
-3, 0, 1
Let w = 1029/2816 + -47/256. Let f be 3/(9/15) + -3. Factor -8/11 - w*h**f + 10/11*h.
-2*(h - 4)*(h - 1)/11
Let n(t) be the second derivative of 5*t**7/126 + 5*t**6/9 + 8*t**5/3 + 95*t**4/18 + 25*t**3/6 - 1823*t. Solve n(q) = 0 for q.
-5, -3, -1, 0
Suppose 99 = -161*i + 1065. Let m(p) be the third derivative of 3/14*p**3 + 1/280*p**i - 1/56*p**4 + 0 + 36*p**2 + 0*p - 3/140*p**5. Factor m(q).
3*(q - 3)*(q - 1)*(q + 1)/7
Let u(f) = -4*f**3 + 8*f**2 + f - 5. Let a be ((-2)/(-8))/(16/(-320)). Let q(y) = -7*y**3 + 14*y**2 + 2*y - 9. Let z(p) = a*u(p) + 3*q(p). Factor z(m).
-(m - 2)*(m - 1)*(m + 1)
Let s = 2589 - 2585. Let z(j) be the third derivative of 0*j**s + 0*j**5 + 0*j**3 + 2/105*j**7 + 0*j + 10*j**2 + 0 + 1/15*j**6. Factor z(h).
4*h**3*(h + 2)
Let w(d) = 2*d**3 - d**2 - d - 3. Let j(x) = -13*x**3 - 31*x**2 + 204*x - 208. Let m(t) = j(t) + 4*w(t). Let m(f) = 0. Calculate f.
-11, 2
Let w(f) = 890*f**2 + 240*f + 36. Let t(q) = 5*q**2 - 6*q + 2. Let y(s) = 4*s**2 - 5*s + 2. Let h(z) = 5*t(z) - 6*y(z). Let k(p) = 10*h(p) + w(p). Factor k(c).
4*(15*c + 2)**2
Let o be 6517040/7920 - -43 - (-2 - 40/(-18)). Factor -8/11 - o*m**2 - 552/11*m.
-2*(69*m + 2)**2/11
Let u(p) = -63*p**2 + 59*p. Let z(l) = 42*l**2 - 40*l. Let i(m) = 5*u(m) + 7*z(m). Let a(g) = 41*g**2 - 31*g + 1. Let s(r) = -6*a(r) - 11*i(r). Factor s(q).
-3*(q - 1)*(5*q - 2)
Suppose 5*w = -3*b + 11, -5*w + 0 + 8 = 4*b. Let p be 2254/1380 - (b - (-27)/6). Factor p*o**4 + 0*o**2 - 16/15*o**3 + 0 + 0*o.
2*o**3*(o - 8)/15
Let 1914*t**5 - 21*t**4 - 3756*t**5 + 28*t**3 + 1839*t**5 - 27*t**2 - 16*t**3 + 39*t**3 = 0. Calculate t.
-9, 0, 1
Suppose -31*a = -2*o - 28*a - 15, -11*a + 68 = -3*o. What is u in -3/2*u**2 - 8*u - 6 + 1/2*u**o = 0?
-2, -1, 6
Let a = 27 - 15. Suppose -i = 5*r - 13, 0 = -4*r + 7*i - 435 + 539. Find k such that 0 - 4/3*k**r - a*k**3 + 0*k + 8*k**4 + 0*k**2 = 0.
0, 3
Factor 393263*t**2 - 134*t - 276 - 196631*t**2 - 196630*t**2.
2*(t - 69)*(t + 2)
Let t(u) be the first derivative of u**5/30 + 8*u**4/9 + 28*u + 294. Let a(o) be the first derivative of t(o). Factor a(g).
2*g**2*(g + 16)/3
Let d(y) be the third derivative of 3*y**8/112 - 5*y**7/7 + 103*y**6/40 + 127*y**5/5 + 39*y**4/2 + y**2 - 8*y - 2. Suppose d(p) = 0. What is p?
-2, -1/3, 0, 6, 13
Let k(h) = 9*h**2 + 1. Let d(n) = 57*n**2 - 75*n - 552. Let p(m) = d(m) - 6*k(m). Find i, given that p(i) = 0.
-6, 31
Let f(o) be the first derivative of -17*o**3/3 + 35*o**2/2 - 2*o + 984. What is k in f(k) = 0?
1/17, 2
Let y(j) = -34*j**2 + 57*j + 406. Let n(t) = 22*t**2 - 58*t - 404. Let k(q) = -3*n(q) - 2*y(q). Factor k(o).
2*(o + 10)*(o + 20)
Let w(m) = -8*m - 14*m + 7618 + 6*m - 7520. Let d be w(6). Determine q, given that -28/9*q**4 + 0 - 80/9*q**d - 32/9*q + 104/9*q**3 = 0.
-2/7, 0, 2
Determine i so that 105*i**2 + 984 - 77*i**2 - 7*i**2 + 3*i**3 + 87*i**2 + 726*i - 363*i**2 = 0.
-1, 4, 82
Suppose 3*i = -3*j + 27, -6*i - 36 = -6*j + 3*j. Factor 2*m**3 - 2*m**2 + 12*m**4 + m**5 - j*m**4 - 10*m**3 + 7*m**3.
m**2*(m - 1)*(m + 1)*(m + 2)
Let x(m) = 123*m**2 + 840*m - 190. Let w(s) = 3*s**2 + s + 1. Let y(k) = 6*w(k) - 3*x(k). Factor y(i).
-3*(9*i - 2)*(13*i + 96)
Let -9/2*b**5 - 108*b + 41/2*b**3 + 18 - 57/2*b**4 + 317/2*b**2 = 0. What is b?
-6, -3, 1/3, 2
Suppose -224/3 - 2/3*s**3 + 2/3*s**2 + 116/3*s = 0. Calculate s.
-8, 2, 7
Let p(n) be the third derivative of n**8/1344 - n**7/84 - 13*n**4/8 + n**2 + 32. Let k(r) be the second derivative of p(r). Determine u, given that k(u) = 0.
0, 6
Let g be 8/17 + 302/(-2567). Solve 4/17 - g*w**2 + 2/17*w = 0 for w.
-2/3, 1
Let x = 610 - 607. Suppose 4 - 71*m**4 - 74*m**x - 4 + 69*m**4 = 0. What is m?
-37, 0
Let w be ((-12)/(-50))/((-9)/(-30)). Let g be 14/(-20)*(-1954)/6839. Factor -3/5 - g*s**2 + w*s.
-(s - 3)*(s - 1)/5
Factor 119*h**3 + 4716480 - 503*h**3 - 387*h**3 - 66300*h**2 - 234*h**3 - 5*h**4 - 1364080*h.
-5*(h - 3)*(h + 68)**3
Suppose y + 66 + 74 = 0. Let c = 140 + y. What is l in -4/7*l**3 + 6/7*l**4 + c*l - 2/7*l**2 + 0 = 0?
-1/3, 0, 1
What is p in 72*p**4 - 68*p - 208*p**3 + 616/3*p**2 + 0 - 4/3*p**5 = 0?
0, 1, 51
Let z(o) be the first derivative of -o**7/4620 + o**6/660 + o**5/165 - o**3 + 33*o**2/2 - 135. Let h(a) be the third derivative of z(a). Factor h(v).
-2*v*(v - 4)*(v + 1)/11
Suppose 5*d - 10 = 3*d. Suppose -7*b + 11*b = 276. Factor c**d + 69 - b + c**4.
c**4*(c + 1)
Let f(x) be the second derivative of 2*x**6/105 + 12*x**5/35 + 10*x**4/7 + 8*x**3/3 + 18*x**2/7 - 1550*x. Factor f(t).
4*(t + 1)**3*(t + 9)/7
Let f(y) = -y**3 - 9*y**2 + 25*y + 276. Let h be f(-7). Let v(i) be the third derivative of 0 + 0*i + 2*i**h + 1/2*i**4 + 1/20*i**5 - 3*i**2. Factor v(m).
3*(m + 2)**2
Suppose -11*m - 34023 = -34067. Let c(w) be the third derivative of 1/12*w**5 + 0*w + 0 + 24*w**2 + 15/4*w**m + 135/2*w**3. Factor c(s).
5*(s + 9)**2
Let t(u) be the third derivative of 0*u - 8*u**2 - 1/720*u**6 + 0 + 2*u**3 - 1/480*u**5 + 0*u**4. Let x(a) be the first derivative of t(a). Factor x(n).
-n*(2*n + 1)/4
Let m(a) = -a**2 + 27*a - 140. Let h be m(7). Let j be (-75)/(-135) - (h + 4/12). Determine o, given that 2/9*o**2 - 4/3 + j*o = 0.
-3, 2
Let v(l) be the third derivative of -l**6/510 - 11*l**5/510 + l**4/68 + 18*l**3/17 -