2236/3*b**2.
-2*(b - 509)**2*(b - 1)**2/3
Let x = 4205 - 50405/12. Let w(b) be the second derivative of -175/6*b**3 - 1/4*b**5 - x*b**4 + 19*b - 125/2*b**2 + 0. Factor w(a).
-5*(a + 1)*(a + 5)**2
Let n(j) be the third derivative of 7*j**2 + 1/30*j**5 + 3*j**4 + 7*j + 0 + 108*j**3. Factor n(r).
2*(r + 18)**2
What is b in 1076/3*b - 152 + 109*b**3 + 1/3*b**5 - 46/3*b**4 - 902/3*b**2 = 0?
1, 2, 3, 38
Let x = -770641/5 + 154130. Solve 6/5*i**3 + 0 + x*i**2 + 0*i - 3/5*i**4 = 0 for i.
-1, 0, 3
Let w(s) be the second derivative of -s**5/110 - 7*s**4/66 + 7*s**3/11 + 27*s**2/11 - 999*s + 2. Factor w(r).
-2*(r - 3)*(r + 1)*(r + 9)/11
Let l(u) = 49*u**2 + 386*u + 385. Let o(f) = 16*f**2 + f + 1. Let n(s) = -5*l(s) + 15*o(s). Factor n(v).
-5*(v + 1)*(v + 382)
Let t = -689 + 2996. Suppose -2304*o = -t*o + 12. Let -2*h**2 + 10/3*h - 2/3*h**3 + 2/3*h**o - 4/3 = 0. Calculate h.
-2, 1
Let l(z) = -26*z**2 + 21*z + 10. Let h(i) = 6*i**2 - 1. Let d(f) = 20*h(f) + 4*l(f). Factor d(j).
4*(j + 5)*(4*j + 1)
Factor 0 - 1/9*y**4 + 56/9*y**2 + 7/9*y**3 - 44/3*y.
-y*(y - 11)*(y - 2)*(y + 6)/9
Let m = 8906 - 400823/45. Let x = m + 7/5. What is t in 32/9*t - 8/9 + 38/9*t**3 - 50/9*t**2 - 14/9*t**4 + x*t**5 = 0?
1, 2
Let o(d) be the first derivative of -3*d**4/32 + 29*d**3/12 - 19*d**2/16 + 1245. Find a such that o(a) = 0.
0, 1/3, 19
Let a(y) be the third derivative of -y**8/112 + 18*y**7/35 + 37*y**6/40 - 215*y**2 - 1. Factor a(c).
-3*c**3*(c - 37)*(c + 1)
Let r(a) be the first derivative of -a**6/27 - 2*a**5/9 - a**4/18 + 34*a**3/27 + 22*a**2/9 + 16*a/9 - 6627. What is j in r(j) = 0?
-4, -1, 2
Let i be ((-12)/(-15))/(80/25 + -3). Suppose 60 = 4*t - i*y, 5*y - 7*y = 4*t - 30. Factor -5/4*s**2 + 0 - 25/4*s**4 - 5/2*s + t*s**3.
-5*s*(s - 1)**2*(5*s + 2)/4
Let z(d) be the second derivative of -d**7/210 - 71*d**6/75 - 111*d**5/20 - 41*d**4/6 + 278*d**3/15 + 276*d**2/5 - 544*d. Suppose z(v) = 0. Calculate v.
-138, -2, -1, 1
Let z = 2400 - 1714. Suppose 4*s = 2582 - z. Solve -6*y + 482*y**5 - 26*y**3 - 34*y**2 - s*y**5 - 16*y**3 - 6*y**4 = 0 for y.
-1, -1/4, 0, 3
Let m(o) = 24*o**2 - 67*o + 70. Let x(j) = 9*j**2 - 22*j + 23. Let w(d) = -4*m(d) + 11*x(d). Let r be w(1). Factor 4/9*u + 2/9*u**r + 0.
2*u*(u + 2)/9
Suppose 238 = 169*c - 310 + 41. Factor 1/6*v**4 + 5/3*v**c + 0*v + 0 + 3/2*v**2.
v**2*(v + 1)*(v + 9)/6
Let i = 78032 + -389992/5. Factor 2352/5 + 3/5*b**2 - i*b.
3*(b - 28)**2/5
Let h = 1758 - 1747. Suppose 209 = h*r + 187. Find i such that -1/3*i**4 + i - i**3 - 4/3 + 5/3*i**r = 0.
-4, -1, 1
Let r(v) be the first derivative of -2*v**3/11 - 85*v**2/11 - 164*v/11 + 809. Find z such that r(z) = 0.
-82/3, -1
Solve -1/10*h**5 - 243/2 + 33/10*h**4 - 35*h**3 + 351/10*h + 591/5*h**2 = 0.
-1, 1, 9, 15
Let r(y) be the second derivative of 80 - 8*y**4 + 1/20*y**5 + 0*y**2 + 384*y**3 - y. Solve r(z) = 0 for z.
0, 48
Let s be (-18*(-1)/(-2))/(-46 - 2407/(-58)). Factor 20*m**3 + 16*m - 92/3*m**s - 25/6*m**4 - 8/3.
-(m - 2)**2*(5*m - 2)**2/6
Let t(w) be the third derivative of -7*w**5/240 - w**4/6 - w**3/6 + 37*w**2 - 9*w. Factor t(y).
-(y + 2)*(7*y + 2)/4
Let q = -36/7 - -39/7. Suppose -4*g - 12 = 4*t, -g + 15*t = 10*t - 27. Let -9/7*u**g + 9/7*u - q + 3/7*u**3 = 0. Calculate u.
1
Let s(y) be the third derivative of y**6/60 - 7*y**5/30 - 50*y**4 - 1488*y**3 - 10*y**2 + 2*y - 31. Factor s(w).
2*(w - 31)*(w + 12)**2
Let r be -6 - (3 + 3 + -214). Suppose -6*o + 202 = r. Factor 2/13*x + o + 2/13*x**2.
2*x*(x + 1)/13
Let m(v) be the second derivative of -v**5/4 - 5*v**4/4 + 20*v**3 - 70*v**2 + 1118*v. Suppose m(n) = 0. Calculate n.
-7, 2
Let c(o) = -5*o**3 - 1185*o**2 - 3435*o - 330. Let y(s) = s**3 + 296*s**2 + 859*s + 88. Let i(u) = -4*c(u) - 15*y(u). Factor i(l).
5*l*(l + 3)*(l + 57)
Let t(o) = 5*o**3 - 224*o**2 - 11015*o - 40798. Let l(i) = i**3 - 3*i**2 - i + 1. Let q(f) = 6*l(f) - t(f). Determine h, given that q(h) = 0.
-101, -4
Let t be 5/10 + (-3435)/(-6). Factor -445 - c + 0*c**2 - 2*c - 29*c + t + 2*c**2.
2*(c - 8)**2
Suppose 315*i + 201187 = 204967. Factor 0 + 0*u**2 - 24*u**3 - 4/3*u**5 - i*u**4 + 0*u.
-4*u**3*(u + 3)*(u + 6)/3
Let m(v) be the second derivative of -v**6/120 + v**5/80 + 5*v**4/24 + v**3/3 + 1107*v - 2. Factor m(p).
-p*(p - 4)*(p + 1)*(p + 2)/4
Let m(c) be the third derivative of -6*c**7/35 + 13*c**6/30 + 14*c**5/15 - 4*c**4/3 + 9*c**2 + c - 77. Factor m(r).
-4*r*(r - 2)*(r + 1)*(9*r - 4)
Let o be (-31)/(-52514)*154 + ((-4)/(-10) - 496/(-110)). Factor 8/9*r**4 + 0*r**2 + 2/9*r**o + 2/3*r**3 + 0*r + 0.
2*r**3*(r + 1)*(r + 3)/9
Let p(v) be the first derivative of 105 - 1/16*v**4 + 1/2*v**3 - 9/8*v**2 + v. Let p(k) = 0. What is k?
1, 4
Let f(k) = -k**4 - 4*k**3 - 20*k**2 + 10*k + 18. Let u(v) = 10*v**4 + 50*v**3 + 240*v**2 - 120*v - 215. Let l(d) = 35*f(d) + 3*u(d). Let l(q) = 0. Calculate q.
-1, 1, 3
Determine s, given that 5/2*s**2 - 5/4*s**5 - 5*s - 2 + 25/4*s**3 - 1/2*s**4 = 0.
-2, -1, -2/5, 1, 2
Let s(r) be the second derivative of -r**7/16380 - r**6/360 - 11*r**5/390 + r**4/4 + r**2 + 3*r. Let v(q) be the third derivative of s(q). Solve v(l) = 0 for l.
-11, -2
Let h(j) be the second derivative of -j**4/16 + 15*j**3/2 - 243*j**2/2 - 311*j. Factor h(m).
-3*(m - 54)*(m - 6)/4
Let v be -4*600/64*(-6 + 2). Let s be ((-8)/(-30))/(920/v - 6). Factor 9/2*i**3 + 57/2*i**s - 41/2*i + 7/2.
(i + 7)*(3*i - 1)**2/2
Let y = 28 + -68. Let v be 24/10 - (-16)/y. Factor -11*q**3 - 3*q**2 + v*q**3 + 11*q**3 - q**2.
2*q**2*(q - 2)
Let c(n) be the third derivative of -n**6/200 - 7*n**5/100 + 3*n**4/20 + 36*n**3/5 - 8472*n**2. Suppose c(m) = 0. What is m?
-6, -4, 3
Let t(b) be the third derivative of b**8/84 + 58*b**7/35 + 489*b**6/10 - 6057*b**5/5 + 9936*b**4 - 41472*b**3 - 383*b**2 - 2. Determine u so that t(u) = 0.
-48, 3
Solve -3/7*v**3 + 0 + 75/7*v**2 - 198/7*v = 0 for v.
0, 3, 22
Let -36090*d - 2/9*d**3 + 536/3*d**2 + 643204/9 = 0. Calculate d.
2, 401
Let f(g) be the third derivative of g**5/30 + 95*g**4/6 + 63*g**3 + 377*g**2 - 2. Suppose f(h) = 0. What is h?
-189, -1
Let x be 5/(-7) + 1 + 10/(-35). Let n be -3 + 4 + x + 2. Solve 2*j**5 + 3*j**n + j**5 + 65*j**4 - 30*j**4 - 29*j**4 = 0 for j.
-1, 0
Suppose -3*c + 1643 = 2*f, -c + 1070 + 575 = 2*f. Let l = 829 - f. Factor 9/4 + 1/4*g**4 - 2*g**3 - l*g + 11/2*g**2.
(g - 3)**2*(g - 1)**2/4
Suppose 1183 = y - 3*a - 1008, -y + 4*a = -2189. Let p = 2205 - y. What is s in -1/2*s**2 + 2 + p*s - 2*s**3 = 0?
-2, -1/4, 2
Suppose -94/13 + 2/13*h**3 - 90/13*h**2 - 186/13*h = 0. What is h?
-1, 47
Let s(b) be the second derivative of -b**7/273 - 66*b**6/65 + 20*b**5/13 + 33*b**4/13 - 199*b**3/39 - 3613*b. Suppose s(i) = 0. Calculate i.
-199, -1, 0, 1
Let p be 11 + 4716/(-432) + (2/(-8))/(5 + -2). Suppose p - 1/8*f**2 + 0*f + 1/8*f**3 = 0. What is f?
0, 1
Let a(g) = g**3 + 5*g**2 + 5*g + 19. Let f(p) = -2*p**3 - 11*p**2 - 14*p - 35. Let c(x) = -10*a(x) - 6*f(x). Suppose c(q) = 0. What is q?
-5, -2, -1
Let h be (-8)/186*(-28)/(672/(-2124)). Let b = h + 1037/248. Suppose 1/8*q**2 - 1/4*q - b = 0. What is q?
-1, 3
Let b(v) = v**3 + 12*v**2 + 6*v - 35. Let i be b(-11). Suppose 55*n**4 + i*n**5 - 10*n**3 - 213*n**2 + 20*n - 4*n**3 - n**3 + 133*n**2 = 0. Calculate n.
-2, 0, 1/4, 1
Let c(w) be the first derivative of -w**4/28 - 12*w**3/7 + 37*w**2/14 + 1061. Solve c(g) = 0 for g.
-37, 0, 1
Let w be (36/(-54))/(2/(-27)). Suppose g - w = 19. Let 4*v**2 - 2 + g*v - 15 - 15 = 0. Calculate v.
-8, 1
Factor -16/15*s**2 + 4/15*s**4 - 2/15*s**5 + 0*s + 8/15*s**3 + 0.
-2*s**2*(s - 2)**2*(s + 2)/15
Let g be (-31 - -28)/((-5)/10). Let o be (-361)/(-99) + 1/(-11). Factor 0 + 16*l**3 + o*l - 128/9*l**2 + 0*l**4 - g*l**5.
-2*l*(l + 2)*(3*l - 2)**3/9
Suppose 716*l + 3548 = 5696. Factor 5/2*j**2 + 6*j + 0 - 1/4*j**4 - 3/4*j**l.
-j*(j - 3)*(j + 2)*(j + 4)/4
Let a = 475166 + -1425496/3. Factor 4/3 - a*g**2 - 2/3*g.
-2*(g - 1)*(g + 2)/3
Let g be ((-22)/12 + 2)*1. Suppose -4*d - 8 = 4*n, 4*n = 3*d - 6670 + 6627. Let -1/3*a**2 + 1/6*a**4 + g*a**d - 1/3*a**3 + 1/6*a + 1/6 = 0. Calculate a.
-1, 1
Let v(o) be the first derivative of 5*o**6/4 - 6*o**5 + 3*o**4 + 16*o**3 + 12*o**2 + 38*o - 68. Let a(q) be the first derivative of v(q). Factor a(x).
3*(x - 2)**2*(5*x + 2)**2/2
Let c(p) = p**3 - 19*p**2 + 229*p - 795. Let i be c(5). Factor i + 2/9*x**2 - 2/3*x.
2*x*(x -