ond derivative of -8/45*q**5 - 256/9*q**2 - 130*q - 256/27*q**3 + 0 - 1/135*q**6 - 16/9*q**4. Solve m(j) = 0 for j.
-4
What is b in 452*b + 2*b**2 - 233 - 646*b + 37 = 0?
-1, 98
Let c be (23 - 3 - 188/(-47)) + -24. What is g in c - 88/9*g + 2/9*g**2 = 0?
0, 44
Let p(m) be the first derivative of -2*m**6 + 416*m**5/5 - 253*m**4 - 144*m**3 + 760*m**2 + 512*m + 2995. Determine w, given that p(w) = 0.
-1, -1/3, 2, 32
Let b be (490/42)/35*(-27)/(-3). Let 0*v**2 - 1/4*v**b + 0*v + v**4 + 0 - 3/4*v**5 = 0. Calculate v.
0, 1/3, 1
Let h be -8 - (-31 - -1)/6. Let g(y) = 2*y**3 + 6*y**2 - 2*y - 6. Let r be g(h). Factor r - 3/2*q + 1/2*q**2.
q*(q - 3)/2
Let z(g) be the third derivative of 1/120*g**6 + 1/18*g**3 - 153*g**2 + 0*g + 0 + 7/180*g**5 + 5/72*g**4. Solve z(m) = 0.
-1, -1/3
Factor -839806/5*w + 518*w**2 + 837218/5 - 2/5*w**3.
-2*(w - 647)**2*(w - 1)/5
Suppose -13 = -16*u + 1219. Factor 5*c - c**3 - 6 - 83*c**2 + u*c**2 - 2 + 10*c.
-(c - 1)**2*(c + 8)
Let d(a) be the second derivative of -a**7/21 - 31*a**6/15 - 29*a**5/5 + a**4/3 + 59*a**3/3 + 29*a**2 - 258*a. Suppose d(u) = 0. Calculate u.
-29, -1, 1
Let u = -451263 + 1353797/3. What is a in -82/3*a**3 + 22/3*a + 59/3*a**4 + 19/3*a**2 - u - 10/3*a**5 = 0?
-1/2, 2/5, 1, 4
Let h(x) = 25*x**4 + 54*x**3 - 24*x**2 - 26*x + 7. Let j(k) = 38*k**4 + 107*k**3 - 47*k**2 - 53*k + 13. Let a(n) = -5*h(n) + 2*j(n). Factor a(g).
-(g + 1)**2*(7*g - 3)**2
Let a = 826 - 822. Suppose -a*t = g - 18, 5*g - 7 + 12 = -t. Factor 0 + 1/7*q**2 - 1/7*q**3 - 1/7*q**4 + 1/7*q**t + 0*q.
q**2*(q - 1)**2*(q + 1)/7
Factor 4/5*y**2 - 24/5*y - 28/5.
4*(y - 7)*(y + 1)/5
Let z(w) = -18*w**2 - 7879*w - 3763593. Let r(n) = 10*n**2 + 3948*n + 1881796. Let s(f) = -7*r(f) - 4*z(f). Factor s(x).
2*(x + 970)**2
Let n(l) be the third derivative of -l**6/360 - 101*l**5/180 - 335*l**4/8 - 2475*l**3/2 + 4075*l**2. Solve n(w) = 0 for w.
-45, -11
Suppose 0 = 2*o + 3*x, 3*o - 11*x + 10*x = 11. Factor 51*h**3 - h + 2*h**5 - 24*h**3 - 25*h**3 - o*h**5.
-h*(h - 1)**2*(h + 1)**2
Find z such that -76*z**4 - 2*z**3 - 146*z**3 + 48*z + 16*z**5 + 1183*z**2 - 1023*z**2 = 0.
-2, -1/4, 0, 1, 6
Let j(q) be the first derivative of -2/25*q**5 + 140*q**2 + 400*q - 36*q**3 + 6 + 29/10*q**4. Factor j(y).
-2*(y - 10)**3*(y + 1)/5
Let i = -1628595 + 21156208/13. Let g = i + 1195. Find w, given that -24/13*w**3 + 0*w + 22/13*w**4 - 6/13*w**5 + 0 + g*w**2 = 0.
0, 2/3, 1, 2
Let p be (177498/2106)/173 + (2 - (-7)/(-3)). Factor 0 + 8/13*n**2 - 14/13*n**3 + p*n**5 + 0*n + 4/13*n**4.
2*n**2*(n - 1)**2*(n + 4)/13
What is m in -10*m**4 + 678*m**2 + 642*m**3 + 3048*m**2 - 5*m**4 + 278*m**3 + 888 + 139*m**3 + 3540*m = 0?
-2, -1, -2/5, 74
Let q(d) = -3 + 10*d**2 + 42*d + 25*d**3 - 54*d + 6. Let f(c) = 300*c**3 + 120*c**2 - 145*c + 35. Let b(s) = -3*f(s) + 35*q(s). Find g, given that b(g) = 0.
-1, 0, 3/5
Let z be ((-660)/396)/((-100)/(-216)*(2 - 4)). Factor 22/5 + z*b - 1/5*b**2.
-(b - 11)*(b + 2)/5
Let b(g) be the third derivative of 1/200*g**6 + 0*g - 9/5*g**3 + 0 - 3/40*g**4 + 245*g**2 + 1/25*g**5. Factor b(o).
3*(o - 2)*(o + 3)**2/5
Suppose -3657 = 5*c - r, -8*r = -11*r - 9. Let f = -1461/2 - c. Factor f*s**2 + 15/2*s + 9/2 - 3/2*s**3.
-3*(s - 3)*(s + 1)**2/2
Let s = -93 + 92. Let i(u) = u**4 + u**2. Let y(x) = -8*x**4 + 4*x**3 - 20*x**2 - 12*x. Let o(d) = s*y(d) - 10*i(d). Let o(f) = 0. Calculate f.
-3, -1, 0, 2
Let l(o) be the first derivative of -169*o**6/540 + 559*o**5/270 - 40*o**4/27 + 4*o**3/9 + 69*o**2 - 12. Let t(z) be the second derivative of l(z). Factor t(c).
-2*(c - 3)*(13*c - 2)**2/9
Let r be ((-4)/(-3))/(7/(315/20)). Factor 9*t**4 - 6*t**3 + 22*t**r + t**5 - 27 - 8*t**3 - 27*t + 18*t**2 + 18*t**3.
(t - 1)*(t + 1)*(t + 3)**3
Let t(u) be the first derivative of -u**6/18 - 28*u**5/15 + 31*u**4/3 - 128*u**3/9 + 539. Factor t(o).
-o**2*(o - 2)**2*(o + 32)/3
Let a be (-4976)/(-26400) - (-1 - (-39)/33). Let r(l) be the third derivative of 0*l - 1/300*l**6 + 0 - 1/15*l**3 + a*l**5 + l**2 + 1/60*l**4. Factor r(h).
-2*(h - 1)**2*(h + 1)/5
Let g = 79 + -75. Factor 131*l**2 + 301*l + 192 + 115*l + 89*l**2 + 44*l**3 + 5*l**4 - 3*l**4 + l**g.
(l + 4)**2*(l + 6)*(3*l + 2)
Determine d, given that 4/7*d**2 + 420 - 4/7*d**3 + 92*d = 0.
-7, 15
Let y(t) = t**3 + 233*t**2 + 271*t - 3. Let i(n) = 2*n**3 + 234*n**2 + 284*n - 4. Let j(l) = -3*i(l) + 4*y(l). Factor j(u).
-2*u*(u - 116)*(u + 1)
Let w(c) = 21*c**2 - 141*c + 9. Let b(g) = 3*g**2 - 35*g + 2. Let y(h) = h**2. Let q(k) = b(k) + 2*y(k). Let u(f) = -9*q(f) + 2*w(f). Factor u(t).
-3*t*(t - 11)
Let m(h) be the first derivative of h**7/105 - h**6/10 + 11*h**5/30 - h**4/2 - h**2/2 + 90*h + 36. Let s(t) be the second derivative of m(t). Factor s(f).
2*f*(f - 3)*(f - 2)*(f - 1)
Factor -4650*g - 203*g**2 + 75*g**2 + 67*g**2 + 1081125 + 66*g**2.
5*(g - 465)**2
Let n(m) = m**3 + 5*m**2 + 22*m + 44. Let w be n(-3). Let f be w - -4*116/160*2. Find q such that 0*q**2 + 3/5*q**3 - f*q - 6/5 = 0.
-1, 2
Let f = 10408/13885 + 140/2777. Factor f*m**2 - 4/5*m**3 + 0*m + 0.
-4*m**2*(m - 1)/5
Let s(b) = -4*b**2 + 66*b - 258. Let q(l) = -l + 1. Suppose -7*m - 21 + 0 = 0. Let p be 1*(-1 - (-3)/m). Let h(j) = p*q(j) - s(j). Solve h(k) = 0 for k.
8
Let u = 64 - 59. Let s be u - 1 - (2 - 98/(-63)). Suppose -s*m + 0 + 2/9*m**2 = 0. Calculate m.
0, 2
Suppose -3*u + 2*f + 16 = 0, 974*f - 972*f + 10 = 0. Find k, given that 2*k + 16/3 - 1/3*k**u = 0.
-2, 8
Let q(x) = -33*x**2 - 69*x. Let i(l) = -2*l**2 + l. Let g(h) = -18*i(h) + q(h). Determine u, given that g(u) = 0.
0, 29
Let a(w) be the second derivative of 0*w**2 + 4/27*w**3 + 46*w + 2/27*w**4 + 1/90*w**5 + 0. Factor a(v).
2*v*(v + 2)**2/9
Let j(k) be the second derivative of 41/108*k**4 + 53*k - 1 - 1/180*k**5 - 41/18*k**2 + 1/54*k**3. Determine r so that j(r) = 0.
-1, 1, 41
Suppose u = -3*u + 156. Suppose q + 5 - u = 0. Factor -3*b**2 + b**2 - 12*b - q + 16.
-2*(b + 3)**2
Let l(w) be the second derivative of -1/30*w**4 + 4/5*w**3 - 36/5*w**2 + 0 + 55*w. Solve l(x) = 0 for x.
6
Let h(q) be the first derivative of 85 - 5/3*q**3 + 20*q**2 - 35*q. Solve h(o) = 0.
1, 7
Let -420*u + 0 + 305/2*u**3 + 335*u**2 - 65*u**4 - 5/2*u**5 = 0. What is u?
-28, -2, 0, 1, 3
Suppose -37 + 10 = 9*t, 0 = 3*s + 2*t - 3. Let h(f) be the second derivative of 5/3*f**s + 0 + f**4 + 0*f**2 - 16*f + 1/10*f**5. Factor h(c).
2*c*(c + 1)*(c + 5)
Let u be (1*525/(-56) - (-111)/296) + 11 + 0. Let g = -4 + 7. Suppose 0 - 1/7*h**g + 1/7*h**u + 2/7*h = 0. Calculate h.
-1, 0, 2
Let b(a) = a**2 + 4*a - 15. Let v be b(-7). Suppose v = -5*i - 6*l + 2*l, -3*l = -i + 14. Factor 2*d**2 + i*d - 3*d - 5*d + 2*d.
2*d*(d - 2)
Let u be (1/(-4))/(68/(-1360)). Let n(v) be the first derivative of 1/2*v**2 - 1/5*v**3 - 1/20*v**4 - 2/5*v + 1/25*v**u + 2. Factor n(w).
(w - 1)**3*(w + 2)/5
Let o(x) be the first derivative of x**6/6 + 168*x**5/5 + 1764*x**4 + 3220. Let o(p) = 0. Calculate p.
-84, 0
Let v(w) be the first derivative of -w**4 - 160*w**3/9 + 2*w**2 + 160*w/3 - 1748. Solve v(z) = 0.
-40/3, -1, 1
Let u = 14 - 0. Suppose 70*t - 74*t + 16 = 0. Factor -2*m**5 + 6 + t*m**2 - 28*m**4 + u*m - 7*m**3 - 5*m**3 + 18*m**4.
-2*(m - 1)*(m + 1)**3*(m + 3)
Solve -296/3*i**2 - 96 - 580/3*i - 4/3*i**3 = 0.
-72, -1
Let z be 2282/210 + (-12)/18 - 8*12/16. Find b such that 0 + 12*b**2 + z*b - 9/5*b**3 = 0.
-1/3, 0, 7
Let w be ((-44)/12 - -2) + (-806)/(-39) - 5. Let n(u) be the first derivative of w*u**2 - 8*u - 7/4*u**4 - 23 + 2/3*u**3. Factor n(q).
-(q - 2)*(q + 2)*(7*q - 2)
Let z(c) be the first derivative of 3*c**5/35 - 9*c**4/14 - 19*c**3/7 + 18*c**2 - 1039. Factor z(w).
3*w*(w - 7)*(w - 3)*(w + 4)/7
Let p be (-50)/4*120/50. Let t = p - -34. Suppose 0 - 4*b + 8*b**t - 8*b**2 - 20*b**5 + 24*b**5 + 0 = 0. What is b?
-1, 0, 1
Let r = -328 - -321. Let w be (-1)/(-12) - r/42. Factor 0 + 0*n - w*n**2.
-n**2/4
Let c(t) = -t**3 - 17*t**2 + 31*t - 18. Let o be c(-18). Let l be ((-288)/o)/((-5)/(-14)). Factor -8/5 - 2/5*n**5 + 2/5*n**4 - 2/5*n**2 + 2*n**3 - l*n.
-2*(n - 2)**2*(n + 1)**3/5
Let r(h) be the second derivative of 2*h**7/21 + 12*h**6/5 + 14*h**5/5 - 56*h**4/3 - 58*h**3 - 68*h**2 + 1499*h. Suppose r(w) = 0. What is w?
-17, -1, 2
Let k(r) be the third derivative of -1/280*r**7 + 1/8*r**4 + 0*r**3 - 1/30*r**5 + 135*r**2 + 0*r - 13/480*r**6 + 0. Factor k(p)