. Let n(u) = 17*u**4 - 99*u**3 - 385*u**2 - 3*u + 587. Let b(q) = 13*a(q) + 6*n(q). Factor b(o).
-2*(o - 31)*(o - 1)*(o + 2)**2
Let j = 436650 - 436646. What is q in 1/3*q**j + 52/3*q - 20 - 2*q**3 - q**2 = 0?
-3, 2, 5
Factor -1026/5*r + 242/5*r**3 - 486/5 - 66*r**2.
2*(r - 3)*(11*r + 9)**2/5
Let q = 21638 - 21633. Let r(v) be the third derivative of -1/14*v**7 + 0 - 1/20*v**6 - 5*v**2 + 0*v**4 + 0*v + 0*v**q + 0*v**3 - 3/112*v**8. Solve r(t) = 0.
-1, -2/3, 0
Factor 321850 + 280000*v + 2*v**5 - 112766 + 270916 + 50800*v**2 + 540*v**4 - 394*v**4 + 4020*v**3.
2*(v + 3)*(v + 10)*(v + 20)**3
Factor 13/5*i**3 - 12/5*i - 2*i**2 - 9/10*i**4 + 16/5 + 1/10*i**5.
(i - 4)*(i - 2)**3*(i + 1)/10
Find n, given that -45*n**2 + 47*n**2 - 780*n + 1048 + 10*n**2 + 42*n**2 + 304 - n**3 = 0.
2, 26
Let -2/3*b**3 + 0 - 386/3*b**2 + 386/3*b**4 + 2/3*b**5 + 0*b = 0. What is b?
-193, -1, 0, 1
Let m(d) = 25*d**2 - 100*d - 331. Let g(k) = 7*k**2 - 32*k - 110. Let n(z) = -7*g(z) + 2*m(z). Solve n(v) = 0 for v.
-18, -6
Let x(b) be the third derivative of b**5/30 + 21*b**4/4 - 130*b**3/3 + 58*b**2 - 2*b + 50. Factor x(h).
2*(h - 2)*(h + 65)
Let 5926 - 2160*b**2 + 988*b**3 + 22*b**5 - 5926 - 4*b**5 - 160*b**4 + 1584*b - 14*b**5 = 0. Calculate b.
0, 2, 3, 33
Factor -524*t**3 + 1062*t**3 + 245*t + 432*t**2 - 535*t**3 + 184*t.
3*t*(t + 1)*(t + 143)
Suppose -h - 16 = 3*z - 24, 3*z - 4*h - 13 = 0. Let u(a) be the second derivative of -1/100*a**5 + 0 + 1/6*a**z + 1/60*a**4 + 7*a + 3/10*a**2. Factor u(n).
-(n - 3)*(n + 1)**2/5
Suppose 4*z - a = 2*a + 316, 0 = -4*a. Factor 5*n**3 + 40 - z*n + 205*n**2 - 175*n**2 + 4*n.
5*(n - 1)**2*(n + 8)
Let n(c) = c + 14. Let p be n(-6). Let w = -24270 + 97081/4. Solve -2*d**4 + w*d**5 + 4*d + 0 - p*d**2 + 6*d**3 = 0 for d.
0, 2
Let c(p) be the third derivative of -7*p**5/20 - 29*p**4/4 - 8*p**3 - 25*p**2 - 14. Factor c(d).
-3*(d + 8)*(7*d + 2)
Let k(o) be the second derivative of -o**6/45 + 9*o**5/10 - 5*o**4 - 1472*o**3/9 + 512*o**2 - 152*o + 3. Suppose k(d) = 0. What is d?
-6, 1, 16
Let w(q) = -2606*q + 1 - q**2 + q**3 + 0 + 2605*q. Let b(s) = s**4 - 7*s**3 + 18*s**2 - 13*s + 1. Let p(d) = b(d) - w(d). Determine o, given that p(o) = 0.
0, 1, 3, 4
Let l(k) be the second derivative of k**4/66 - 29*k**3/33 + 180*k**2/11 - 14336*k. Let l(h) = 0. Calculate h.
9, 20
Factor -870*u + 27*u - 3*u**3 - 978*u + 273*u + 276*u**2.
-3*u*(u - 86)*(u - 6)
What is p in 80/9*p**3 - 320/3*p + 128 + 10/9*p**4 - 2/9*p**5 - 280/9*p**2 = 0?
-4, 1, 6
Suppose -86*g + 948 = 106*g + 124*g. Factor 128/7 - 96/7*m - 2/7*m**g - 30/7*m**2.
-2*(m - 1)*(m + 8)**2/7
Let b be ((-4)/(-48))/(819/1638). Let -11/6*m**4 - b*m**2 - 1/3*m**5 + 10/3*m - 3*m**3 + 2 = 0. Calculate m.
-2, -3/2, -1, 1
Factor -200*h + 3574*h**2 + 3608*h**2 - 5*h**3 - 7237*h**2 - 240.
-5*(h + 3)*(h + 4)**2
Factor -1/4*h - 1/4*h**2 + 0.
-h*(h + 1)/4
Let s be (-3 + 8/6)/(40*12/(-864)). Factor 2/17*a**4 + 0 + 0*a + 0*a**2 - 8/17*a**s.
2*a**3*(a - 4)/17
Let i(g) be the third derivative of g**5/30 - 9*g**4/2 - 55*g**3/3 - 481*g**2. Factor i(m).
2*(m - 55)*(m + 1)
Let i = 66 + -60. Suppose 4*w - 5*j - 24 = 3, 5*w + 3*j - i = 0. Factor 379*g**3 - 388*g**3 + 0*g**2 + 9*g - w*g**4 + 3*g**2.
-3*g*(g - 1)*(g + 1)*(g + 3)
Let t(v) = 132*v**3 - 356*v**2 + 246*v + 20. Let x(l) = -47*l**3 - 252*l + 5*l + 357*l**2 - 25 - 86*l**3. Let i(z) = 5*t(z) + 4*x(z). Solve i(s) = 0.
0, 11/8
Determine m so that -6*m**3 - 224/3*m + 2/3*m**5 - 154/3*m**2 - 32 + 10/3*m**4 = 0.
-4, -3, -1, 4
Solve 2548/11*n**2 - 148016 - 73544*n - 2/11*n**3 = 0 for n.
-2, 638
Let g = -4949 + 193013/39. Let q(d) be the third derivative of g*d**3 + 0 - 1/780*d**6 - 5/156*d**4 + 2/195*d**5 + 0*d + 26*d**2. Find j such that q(j) = 0.
1, 2
Let m be (-120)/(-4 + 12) - 3. Let z be 6/m + 136/24. Solve 28*t + 148/3*t**2 + 16/3 + z*t**4 + 32*t**3 = 0.
-4, -1, -1/2
Factor 2*o**4 - 1080*o**2 - 8*o**4 - 5 + 747*o**3 - 132*o**4 + 5 + 3*o**5.
3*o**2*(o - 40)*(o - 3)**2
Let n = -391470/13 + 391476/13. Factor -n*r**2 - 24/13 + 2*r.
-2*(r - 3)*(3*r - 4)/13
Let c(d) be the second derivative of d**5/20 + 13*d**4/12 + 25*d**3/3 + 28*d**2 - 98*d + 11. Factor c(y).
(y + 2)*(y + 4)*(y + 7)
Let d = -20 - 10. Let h be -6*(-1)/4*(-80)/d. Find z, given that 1 - z**5 - 2*z**3 + 358*z**4 + 0 + 2*z**2 - 361*z**h + 3*z = 0.
-1, 1
Let p(w) = -3*w**3 + 2*w**2 - w + 2. Let q(r) = -80*r**3 + 865*r**2 + 2485*r - 3270. Let s(g) = 25*p(g) - q(g). What is o in s(o) = 0?
-4, 1, 166
Let z(m) be the first derivative of -7/3*m**3 + 13 + 0*m - 1/180*m**6 + 0*m**4 + 1/20*m**5 + 0*m**2. Let h(d) be the third derivative of z(d). Factor h(j).
-2*j*(j - 3)
Let p be (-3)/((9/84)/((-6)/(-7))). Let n be (20/(-240))/(3/p). Factor n*d**2 + 128/3 + 32/3*d.
2*(d + 8)**2/3
Suppose 0 - 2/5*w**5 + 0*w + 0*w**3 + 0*w**2 - 218/5*w**4 = 0. Calculate w.
-109, 0
Let r(s) be the second derivative of s**9/83160 + s**8/36960 - s**7/2310 + 11*s**4/3 + 18*s - 2. Let m(c) be the third derivative of r(c). Factor m(b).
2*b**2*(b - 2)*(b + 3)/11
Let v = -1740/7 + 15667/63. Let j(o) be the second derivative of -1/90*o**5 - 2/27*o**4 - v*o**3 + 28*o + 0 + 0*o**2. Factor j(w).
-2*w*(w + 1)*(w + 3)/9
Let z(m) be the first derivative of -1/3*m**6 + 128/5*m**5 + 0*m - 9261*m**2 - 57 + 7056*m**3 - 693*m**4. Factor z(b).
-2*b*(b - 21)**3*(b - 1)
Let o be ((-216)/(-2025) + 0)/(2/20 - 0). Factor -4/5*b**2 - o*b + 2/15*b**4 + 2/5*b**3 + 0.
2*b*(b - 2)*(b + 1)*(b + 4)/15
Suppose 4 = i + i. Let a be (-612)/(-378) + ((-34)/(-6) - 5). Let -8/7*g + a + 1/7*g**i = 0. What is g?
4
What is l in 153/5 + 39*l + 39/5*l**2 - 3/5*l**3 = 0?
-3, -1, 17
Factor -301/3*i**3 - 8/3*i - 402*i**2 + 0.
-i*(i + 4)*(301*i + 2)/3
Let t = -12265 - -12269. Let u(d) be the first derivative of 40*d - 22 + t*d**2 + 2/15*d**3. Factor u(o).
2*(o + 10)**2/5
What is b in 0 + 1/11*b**5 - 4/11*b**4 + 4/11*b**2 + 5/11*b - 6/11*b**3 = 0?
-1, 0, 1, 5
Let x(l) be the third derivative of -4*l**7/315 - 31*l**6/360 + 13*l**5/9 - 4*l**4/9 - 2*l**2 + 692*l - 2. Solve x(y) = 0 for y.
-8, 0, 1/8, 4
Let a(t) = 30*t - 6. Let m be a(3). Let k = -76 + m. Factor c + 1 + 9 - k + 2*c + c**2.
(c + 1)*(c + 2)
Let i be (2 - 0/2)*-6. Let b be 4/i*-1 + (-15)/(-9). Factor -2*f**2 - 2 - 4*f**2 + 10*f**2 - b.
4*(f - 1)*(f + 1)
Let r(q) = 2*q - 10. Let n be r(11). Let u(w) = -w + 14. Let a be u(n). Factor 7*l + 5*l**a + 4*l**2 + 64 - 39*l - 5*l**2.
4*(l - 4)**2
Let r be ((-88)/(-5))/(24/60). Suppose -140*a - 24 + 140*a**3 + r*a**4 + 436*a**2 - 911*a**2 + 455*a**2 = 0. Calculate a.
-3, -1, -2/11, 1
Let k(s) = -s**3 - 9*s**2 - 11*s + 5. Let t be k(-5). Let o = t + 50. Determine f so that -54*f**5 + 20*f**4 - 20*f**2 + o*f**3 + 30*f**5 + 29*f**5 - 15*f = 0.
-3, -1, 0, 1
Suppose x + 3 = -409*v + 411*v, -6 = 2*x. Let k(p) be the first derivative of 5/6*p**6 + v*p + 5/3*p**3 + 15/4*p**4 - 1 + 0*p**2 + 3*p**5. Factor k(i).
5*i**2*(i + 1)**3
Let d(l) be the third derivative of 0*l**7 + 1/1680*l**8 + 0*l - 3*l**2 - 1/150*l**5 - 3 - 7/600*l**6 + 4/15*l**3 + 1/10*l**4. Find r, given that d(r) = 0.
-2, -1, 2
Let v be 2006/(-118) + 240/14. Let o(f) be the first derivative of 11 + 0*f**3 + 0*f - v*f**2 + 1/14*f**4. Factor o(r).
2*r*(r - 1)*(r + 1)/7
Let u be (75/4)/15 + 3/4. Factor -6 + 2 + 10*n**u - 15*n**4 + 10*n**3 - 15*n + 5*n**5 + 9.
5*(n - 1)**4*(n + 1)
Let z = -52724 + 52728. Factor 0 - 1/10*i**z + 4/5*i**2 - 6/5*i + 1/10*i**3.
-i*(i - 2)**2*(i + 3)/10
Solve -300 - 488 - 30*r - 26*r + 12*r**3 - 172 + 33*r**2 + 91*r**2 = 0.
-10, -3, 8/3
Let a be (-104)/12 + 2/3. Let n = 24 + a. Factor -c + c + 2*c - n + 19 - c**2.
-(c - 3)*(c + 1)
Let w(c) be the first derivative of 0*c + 5/3*c**3 - 23 - 25/2*c**2. Solve w(t) = 0 for t.
0, 5
Factor y**2 + 3*y**2 + 8*y**2 - 3060 - 8*y**2 + 1008*y.
4*(y - 3)*(y + 255)
Let u(i) be the third derivative of 1/3*i**4 - 6 - 1/10*i**6 - 4*i**3 + 0*i + 3/10*i**5 + 1/105*i**7 + i**2. What is n in u(n) = 0?
-1, 2, 3
Let r be 4/(-6) + (-788)/(-30). Let n(h) = -2394*h + 359102. Let b be n(150). Factor 2/5*y**b + r + 32/5*y.
2*(y + 8)**2/5
Let l(g) be the third derivative of 100*g**4 + 0*g + 192*g**3 + 673/30*g**5 + 1/105*g**7 + 5/6*g**6 - 77*g**2 + 0. Factor l(x).
2*(x + 1)**2*(x + 24)**2
Let -10317*p + 2580 + 976032*p**5 - 976029*p**5 + 2568*p**4 + 4096*p**2 - 10302*p**3 + 11372*p**2 