 533 = 3*w - 5*s, 5*w - 5*s - t = 0. Factor 587*m - w*m**2 + 58*m**2 - 400 - 77*m + 50*m.
-4*(7*m - 10)**2
Let l be 3/(-5) + -42*(-1085)/8575. Suppose -36/7*d + 3/7*d**5 + 12/7 - 3/7*d**3 - 9/7*d**4 + l*d**2 = 0. Calculate d.
-2, 1, 2
Let f be ((-1)/(-75))/(14/180 - 30/(-135)). Let v(g) be the first derivative of 0*g + 25 + 1/3*g**2 - 14/27*g**3 - f*g**5 + 5/18*g**4. Factor v(c).
-2*c*(c - 3)*(c - 1)**2/9
Factor 76*b + 0 + 58/3*b**2.
2*b*(29*b + 114)/3
Let d = 57 + -55. Suppose 3*t + 6*f = 5*f + 4, 0 = d*f + 10. Factor 2*s + 161*s**2 + 0*s - 84*s**2 - 80*s**2 + s**t.
s*(s - 2)*(s - 1)
Let w = -153 - -167. Factor 12500 + 4*f**2 + f**2 + w*f**2 + 10*f**2 - 24*f**2 + 500*f.
5*(f + 50)**2
Let j(h) be the second derivative of -h**6/24 + 51*h**5/8 - 3195*h**4/16 - 14535*h**3/2 - 146205*h**2/2 - 8639*h. Suppose j(o) = 0. Calculate o.
-6, 57
Suppose -5*f + d = -79, 3*f + d - 21 = 28. Suppose -5*h**3 + 0*h**4 - 4*h - 4*h**4 - f*h**2 + 10*h**4 + h**4 = 0. Calculate h.
-1, -2/7, 0, 2
Let t(u) be the first derivative of 5*u**8/336 + 2*u**7/21 + u**6/6 - 30*u**2 + 31. Let l(y) be the second derivative of t(y). Factor l(a).
5*a**3*(a + 2)**2
Let n(x) be the second derivative of -x**4/42 + 19*x**3/7 - 463*x + 2. Solve n(c) = 0 for c.
0, 57
Let c(t) be the third derivative of -5*t**8/336 + 5*t**7/7 + 259*t**6/24 + 2*t**2 + 402. Determine n, given that c(n) = 0.
-7, 0, 37
Let k(t) be the second derivative of 8/5*t**2 + 81/50*t**5 + 33/5*t**4 + 11 - 3*t + 76/15*t**3. Suppose k(v) = 0. What is v?
-2, -2/9
Let m be (-27)/(-18)*(-28)/(-21). Factor -175*u + 25*u**2 + 16*u**m + 33*u**2 - 69*u**2.
5*u*(u - 35)
Let g be 1776/(-48) + 25 + 12. Find n, given that 27/5*n**2 + g - 3/5*n**4 + 0*n - 24/5*n**3 = 0.
-9, 0, 1
Factor 454*l**3 - 110*l**2 + 255*l**3 - 714*l**3 - 325*l + 3380.
-5*(l - 4)*(l + 13)**2
Let c(t) = 2*t**2 + 89*t - 40. Let h(l) = 10*l**2 + 446*l - 198. Let u(f) = -f**2 - f - 1. Let n(i) = -h(i) - 2*u(i). Let k(p) = -24*c(p) - 5*n(p). Factor k(g).
-4*(g - 10)*(2*g - 1)
Let g(q) = -3*q + 25. Let t be g(7). Let i(s) = -6*s**2 - 20*s + 4. Let y(m) = -7*m**2 - 18*m + 5. Let r(c) = t*y(c) - 5*i(c). Factor r(z).
2*z*(z + 14)
Let t(x) be the first derivative of 0*x + 1/12*x**4 - 1/15*x**5 + 151 + 0*x**2 + 2/3*x**3. Factor t(c).
-c**2*(c - 3)*(c + 2)/3
Let h = 2070 + -2290. Let m = 222 + h. Factor 5/6*a**m + 1/2 + 7/6*a + 1/6*a**3.
(a + 1)**2*(a + 3)/6
Let c(q) be the third derivative of -q**7/2520 + q**6/180 - q**5/40 + q**4/18 - 43*q**3/3 + 35*q**2. Let h(r) be the first derivative of c(r). Factor h(x).
-(x - 4)*(x - 1)**2/3
What is s in 14/3*s**2 - 10 + 32/3*s = 0?
-3, 5/7
Let a(l) = l**3 - l**2 + 1. Let r(m) = 3*m**3 + 5*m**2 - 8*m + 1. Let x(f) = -2*f - 29. Let v be x(-14). Let s(c) = v*r(c) + a(c). Factor s(o).
-2*o*(o - 1)*(o + 4)
Factor -3*u**2 + 41 + 12*u + 21*u + 3*u**3 + 0*u**2 + 21*u**2 - 23.
3*(u + 1)*(u + 2)*(u + 3)
Let l(j) be the first derivative of 29/3*j**3 + 8*j - 1/5*j**5 - 13*j**2 + 11 + 1/6*j**6 - 11/4*j**4. Suppose l(z) = 0. What is z?
-4, 1, 2
Let c(o) be the first derivative of 4*o**6/15 + 58*o**5/5 + 402*o**4/5 + 3328*o**3/15 + 1328*o**2/5 + 96*o - 6000. Suppose c(y) = 0. Calculate y.
-30, -2, -1/4
Let a(t) be the third derivative of -1/1155*t**7 + 0 - 1445/33*t**4 - 153/55*t**5 - 13/165*t**6 + 0*t + 40*t**2 - 4913/33*t**3. Factor a(u).
-2*(u + 1)*(u + 17)**3/11
Let x be (3 - 80/15)/(1 - 10 - 5885/(-660)). Factor x*t**3 - 36 - 87*t - 71/2*t**2 + 8*t**4.
(t - 2)*(t + 4)*(4*t + 3)**2/2
Let w(t) = 64*t + 4 - 29*t - 9*t**2 - 6*t**3 - 26*t. Let m = 3 - 6. Let u(o) = -7*o**3 - 8*o**2 + 8*o + 3. Let b(q) = m*w(q) + 4*u(q). Factor b(k).
-5*k*(k + 1)*(2*k - 1)
Let a(m) be the second derivative of -25/24*m**4 - 2*m**2 - 21 - 2*m - 7/2*m**3 + 9/40*m**5. Factor a(f).
(f - 4)*(f + 1)*(9*f + 2)/2
Let t = -107879 - -107882. Suppose 0*s**2 + 2/3*s**5 + 0*s + 0*s**4 - 2/3*s**t + 0 = 0. Calculate s.
-1, 0, 1
Let r(z) = 7*z + 3. Let l be r(-5). Let a = l - -36. Determine x so that 212*x**2 - x**a + 2*x - 109*x**2 - 108*x**2 + 4*x**3 = 0.
0, 1, 2
Let t(q) = -q**2 - 2*q. Let f(b) = -2*b**2 - 7*b. Let u = 1261 + -1254. Suppose 3*d + 8 = -d - 3*n, 3*d = 4*n - 6. Let c(z) = d*f(z) + u*t(z). Factor c(m).
-3*m**2
Let g(w) be the second derivative of 0*w**3 + 0 - 5*w**4 + 1/6*w**6 + 0*w**2 + w**5 + 164*w. Factor g(n).
5*n**2*(n - 2)*(n + 6)
Let n(l) be the first derivative of 54*l**3 + 255 + 324*l - 189*l**2 - 15/2*l**4 + 2/5*l**5. Factor n(q).
2*(q - 6)*(q - 3)**3
Suppose -7*j + 6144 = 17*j. Let m be 2 + 18/(-8) + 64/j. Let m - 11/2*b**2 - 13/2*b**4 + 19/2*b**3 + b + 3/2*b**5 = 0. Calculate b.
0, 1/3, 1, 2
Let h(q) be the first derivative of q**6/1080 - q**4/18 - q**3/3 + 14*q**2 - 294. Let l(n) be the third derivative of h(n). Factor l(r).
(r - 2)*(r + 2)/3
Find j such that 3*j**2 + 136*j + 36*j**2 - 6088652*j**3 + 6088651*j**3 - 420 = 0.
-5, 2, 42
Determine z so that -5*z - 6*z**2 + 44*z**2 + 16*z**3 - 30 - 13*z**2 - 6*z**3 = 0.
-2, -3/2, 1
Let n(m) be the third derivative of m**8/336 - 139*m**7/105 - m**6/40 + 209*m**5/15 - 139*m**4/6 + 1676*m**2. Factor n(p).
p*(p - 278)*(p - 1)**2*(p + 2)
Let y = 11923/6 + -1987. Let n(h) be the first derivative of 0*h + 16 - 1/27*h**3 + y*h**2. Factor n(k).
-k*(k - 3)/9
Let t(a) be the third derivative of a**5/600 + 7*a**4/10 - 17*a**3/3 + 2557*a**2. What is p in t(p) = 0?
-170, 2
Let l(v) = -v**3 - 110*v**2 + 38*v + 4182. Let r be l(-110). Factor -78/5*g**r - 112/5*g - 16/5*g**3 - 49/5 - 1/5*g**4.
-(g + 1)**2*(g + 7)**2/5
Let w(q) be the third derivative of 8/5*q**7 + 4*q**2 + 0*q**4 - 392/5*q**6 + 21952/15*q**5 + 0*q - 1/84*q**8 + 0*q**3 + 0. Factor w(s).
-4*s**2*(s - 28)**3
Let m(p) be the second derivative of p**6/40 - 7*p**5/20 - 17*p**4/8 - 9*p**3/2 - 2*p**2 + p + 1. Let x(h) be the first derivative of m(h). Factor x(a).
3*(a - 9)*(a + 1)**2
Let -6*f**2 - 822*f - 91*f**2 + 820 + 99*f**2 = 0. What is f?
1, 410
Factor 0 - 60*i**2 + 0*i + 14*i**3 - 2/3*i**4.
-2*i**2*(i - 15)*(i - 6)/3
Let y = -255 - -257. Let o be 20*4/16 - (-5)/y. Factor 0*b - o*b**3 + 9*b**2 + 0 + 3/2*b**4.
3*b**2*(b - 3)*(b - 2)/2
Solve k**2 + 1845 - 4*k**2 - 9501672*k + 9501750*k = 0 for k.
-15, 41
Let y(r) be the third derivative of 0 - 101*r - r**2 + 20/3*r**4 - 1/15*r**5 - 800/3*r**3. Factor y(x).
-4*(x - 20)**2
Let o(v) be the second derivative of 2*v**6/105 - 3*v**5/7 + 12*v**4/7 + 8*v**3/21 - 96*v**2/7 - 970*v. Solve o(u) = 0.
-1, 2, 12
Let l = -83207 + 1081693/13. Factor l*x**2 - 6/13*x - 20/13.
2*(x - 5)*(x + 2)/13
Let o(w) be the second derivative of w**6/50 - 39*w**5/20 + 37*w**4/4 + 13*w**3/2 - 279*w**2/5 + 1692*w. Determine d, given that o(d) = 0.
-1, 1, 3, 62
Let a(y) be the first derivative of 0*y + 0*y**2 + 29 + 0*y**3 + 1/16*y**4. Factor a(g).
g**3/4
Let a(v) be the second derivative of v**5/100 + 17*v**4/30 + 9*v**3/10 - 99*v**2/5 + 906*v. Factor a(t).
(t - 2)*(t + 3)*(t + 33)/5
Let p(t) be the first derivative of t**4/28 - 3*t**3 + 61*t**2/7 - 3116. Solve p(q) = 0 for q.
0, 2, 61
Let d(r) be the third derivative of r**8/1176 + 53*r**7/735 + 551*r**6/210 + 5603*r**5/105 + 7943*r**4/12 + 15379*r**3/3 + 2668*r**2 + 2*r. Factor d(t).
2*(t + 7)**2*(t + 13)**3/7
Let t(v) = 32 + 0*v + 2*v - 26. Let f be t(15). Solve 134*s**2 - 4*s**3 - f - 155*s**2 - 48*s + s**3 = 0 for s.
-3, -2
Let q(n) = n**3 + 25*n**2 + 84*n - 69. Let b be q(-21). Let i be (-63)/18*(1 - b/(-63)). Solve -5/3*s + 0 - i*s**2 = 0.
-5, 0
What is v in -28/3*v - 8/3*v**4 + v**5 + 0 - 36*v**2 - 25*v**3 = 0?
-2, -1/3, 0, 7
Let w(i) = -260*i**3 + 305*i**2 + 360*i + 80. Let l = 265 + -270. Let a(k) = 129*k**3 - 152*k**2 - 180*k - 40. Let q(z) = l*a(z) - 2*w(z). Factor q(y).
-5*(y - 2)*(5*y + 2)**2
Let g(d) = d**3 - 12*d**2 + d - 7. Let i(f) = f**2 - f + 7. Let x(q) = -g(q) - 5*i(q). Factor x(o).
-(o - 7)*(o - 2)*(o + 2)
Let q(u) be the third derivative of -u**5/12 + 35*u**4/8 + 55*u**3/3 + 5424*u**2. Factor q(d).
-5*(d - 22)*(d + 1)
Let k = 25 + -30. Let r(t) = t - 1. Let m(z) = -z**3 + z**2 - 5*z + 5. Let y(q) = k*r(q) - m(q). Find o such that y(o) = 0.
0, 1
Let p(y) = 4*y**4 + 15*y**3 + 25*y**2 - 18*y - 8. Let q(c) = -10*c**4 - 30*c**3 - 40*c**2 + 35*c + 15. Let h(v) = -5*p(v) - 3*q(v). Factor h(r).
5*(r - 1)*(r + 1)**2*(2*r + 1)
Let v(h) be the first derivative of -h**5/1