4 + 0 - 45*c**3. Find h such that r(h) = 0.
-45
Let v(t) be the second derivative of 18*t + 19/6*t**2 + 11/36*t**4 - 1/120*t**5 - 59/36*t**3 + 0. Factor v(a).
-(a - 19)*(a - 2)*(a - 1)/6
Let p(k) be the first derivative of 32/3*k**3 + 0*k**2 + 0*k**4 - 41 - 64*k - 4/5*k**5. Factor p(l).
-4*(l - 2)**2*(l + 2)**2
Let l(q) be the second derivative of -q**3/3 - 6*q**2 + q. Let c be l(-11). Factor -2*d - 22*d**2 + 2 + 20*d**2 + c.
-2*(d - 2)*(d + 3)
Let d(s) be the second derivative of 10/21*s**4 + 0*s**2 + 2 + 0*s**3 + 9*s + 1/70*s**5. Let d(i) = 0. Calculate i.
-20, 0
Let v = 8644421/5 + -1728884. Factor 9/5*o + 8/5 + v*o**2.
(o + 1)*(o + 8)/5
Factor -1/5*f**2 - 522729/5 + 1446/5*f.
-(f - 723)**2/5
Let v(j) = -j**2 + j - 4. Let w(s) = -4*s**4 + 28*s**3 - 17*s**2 - 31*s + 36. Let h(x) = 3*v(x) + w(x). Factor h(o).
-4*(o - 6)*(o - 1)**2*(o + 1)
Find q, given that 5*q**2 - 19*q**2 - 3*q + 48 - 50 + 13*q**2 = 0.
-2, -1
Let g(t) be the second derivative of 33/16*t**2 + 0 + 47*t - 1/32*t**4 + 5/8*t**3. Factor g(w).
-3*(w - 11)*(w + 1)/8
Let b(q) be the third derivative of 54*q**2 - 1/570*q**5 + 5/57*q**3 + 0 + 1/57*q**4 + 0*q. Determine l so that b(l) = 0.
-1, 5
Let c(x) = 190*x**4 - 835*x**3 - 7210*x**2 - 10935*x - 4750. Let g(i) = 7*i**4 - 31*i**3 - 267*i**2 - 405*i - 176. Let j(s) = 2*c(s) - 55*g(s). Solve j(t) = 0.
-3, -1, 12
Let q be (-577)/2308 + 51/12. Find g, given that 16/11*g - 8/11 + 2/11*g**q - 6/11*g**2 - 4/11*g**3 = 0.
-2, 1, 2
Let t(b) be the second derivative of 4*b**6/9 - 2*b**5/5 - 43*b**4/18 - 8*b**3/3 - 4*b**2/3 - 422*b. Solve t(z) = 0.
-1/2, -2/5, 2
Factor -27/4*d**2 - 3*d - 1/2*d**3 + 13/4.
-(d + 1)*(d + 13)*(2*d - 1)/4
Let -348/5 + 208*n - 9/5*n**3 - 771/5*n**2 = 0. Calculate n.
-87, 2/3
What is s in 6*s - 2733*s**4 + 42*s + 3*s**5 + 120*s**2 + 99*s**3 + 1382*s**4 + 1381*s**4 = 0?
-4, -1, 0
Let t be 324/(-270)*70/4. Let a be (-10 + t/(-2))*0. Factor -2/19*l**2 + a*l + 0.
-2*l**2/19
Let x(m) = m**3 - 39*m**2 + 98*m - 888. Let g be x(37). Let p(w) be the third derivative of -13*w**2 + 1/48*w**4 + 1/240*w**5 + 0*w + 0*w**3 + g. Factor p(s).
s*(s + 2)/4
Let a(m) be the third derivative of 62*m**2 - 13/15*m**5 + 7/3*m**4 + 0*m**3 - 1/30*m**6 + 0 + 0*m. Determine s so that a(s) = 0.
-14, 0, 1
Let d be (5*8/(-24))/((-950)/114). Solve -d*w**3 + 7/5*w**2 + 0 - 2*w = 0.
0, 2, 5
Let u(g) be the first derivative of -g**4 + 28*g**3 + 192*g**2 + 400*g + 69. Determine j so that u(j) = 0.
-2, 25
Let v(c) be the second derivative of c**4/4 + 59*c**3/3 + 76*c**2 + 23*c - 21. Find z such that v(z) = 0.
-38, -4/3
What is d in 5/3*d**5 - 5/3*d**3 - 20*d + 28/3*d**4 + 0 - 112/3*d**2 = 0?
-5, -2, -3/5, 0, 2
Determine m, given that -78*m**2 + 2/5*m**4 - 132/5 - 394/5*m - 126/5*m**3 = 0.
-1, 66
Suppose -85200 = 22*m - 30*m. Solve -94*n**2 - 254*n**2 + 4*n**3 - 97556 - 558*n + m*n = 0 for n.
29
Suppose 31*r = 116*r + 147 - 572. Let l(d) be the first derivative of 5*d**4 + r*d + 40/3*d**3 + 25/2*d**2 + 4. Determine b, given that l(b) = 0.
-1, -1/2
Suppose -213/4*i**2 - 1/4*i**5 - 35/4*i**4 + 0 - 45/2*i - 157/4*i**3 = 0. Calculate i.
-30, -3, -1, 0
Let 96292322 + 11367476 - 330746431 - 4*u**3 - 7344*u**2 - 266304646 - 4494528*u - 427492433 = 0. What is u?
-612
Let x(o) = -7508*o + 135144. Let j be x(18). Factor -24/7*s + 3/7*s**3 + j + 6/7*s**2.
3*s*(s - 2)*(s + 4)/7
Let p(k) be the second derivative of 2/15*k**6 - 19/9*k**3 + 44/27*k**4 + 14/9*k**2 + 0 - 31/45*k**5 - 1/189*k**7 + 209*k. Determine h, given that p(h) = 0.
1, 14
Suppose 3*x + 4*j + 7 = 0, 34*x - 4*j - 22 = 32*x. Let g be (-107)/(-1) + (0 - -3). Solve 18*f**4 + 0*f**2 - g*f**3 + 124*f**x - 4*f**2 = 0 for f.
-1, 0, 2/9
Let z(h) be the third derivative of h**6/200 - 3*h**5/20 + 19*h**4/20 - 12*h**3/5 - 1234*h**2. Factor z(n).
3*(n - 12)*(n - 2)*(n - 1)/5
Let l(k) = 4*k**2 + 25*k + 3. Let n be l(-6). Let c = n + 13. Let -5637 - 5*s**4 + 5*s**5 + 5637 - c*s**3 = 0. Calculate s.
-1, 0, 2
What is a in 10715*a**2 + 2*a**3 - 6893 - 21363*a**2 - 3755 + 10714*a**2 = 0?
-22, 11
Factor 30/7*b - 2/7*b**3 + 16/7 + 12/7*b**2.
-2*(b - 8)*(b + 1)**2/7
Suppose -25 + 33 = -2*l, -2*l - 93 = -5*r. Let c(h) be the first derivative of 30*h**2 + r - h**5 - 15*h**4 + 180*h - 175/3*h**3. Determine m so that c(m) = 0.
-6, -1, 1
Let g(r) = r**3 + 9*r**2 - 2*r - 10. Let q be g(-9). Let -6*c**2 - 2*c**3 + q + 4*c**3 + 202*c - 202*c = 0. Calculate c.
-1, 2
Let a(i) be the first derivative of -i**7/1365 + 7*i**5/390 + i**4/26 + 55*i**2 + 64. Let l(h) be the second derivative of a(h). Find o such that l(o) = 0.
-2, -1, 0, 3
Suppose -45*p**5 + 167*p + 2165*p**2 + 88*p + 4855*p**3 + 2875*p**4 - 60*p**5 + 35*p = 0. What is p?
-1, -1/3, -2/7, 0, 29
Let z(m) be the first derivative of -228/5*m**5 - 83*m**3 - 64 + 27*m - 9*m**2 - 96*m**4 - 8*m**6. Solve z(q) = 0 for q.
-3/2, -1, 1/4
Let b be 10/(-4)*(27 - (65 - 35)). Factor 3/4*f**2 - 18 + b*f.
3*(f - 2)*(f + 12)/4
Let l be 0/((8/(-6))/((-18)/(-27))). Suppose 4*p - 5 = 3. Suppose l*z**2 + 4*z**2 + 5 - 9*z**p = 0. What is z?
-1, 1
Factor -26/7*o**3 + 2/7*o**5 - 32/7 - 96/7*o - 94/7*o**2 + 6/7*o**4.
2*(o - 4)*(o + 1)**3*(o + 4)/7
Let f(b) be the first derivative of b**6/180 + 28*b**5/15 + 784*b**4/3 + 11*b**3/3 - 117. Let h(q) be the third derivative of f(q). Suppose h(m) = 0. What is m?
-56
Let b(f) = 5*f**2 - 19*f - 30. Let u(h) = 27 + 6*h**2 - 11*h - 59 - 7*h + 0. Let r(n) = 4*b(n) - 3*u(n). Suppose r(v) = 0. Calculate v.
-1, 12
Let h(n) = -13*n**2 + 4*n. Let v(f) be the second derivative of -f**4/6 + f**3/3 - 2*f + 4. Let k(w) = h(w) - 3*v(w). Factor k(t).
-t*(7*t + 2)
Let n(b) = 89*b**3 - 811*b**2 + 2410*b - 1598. Let d(j) = 12*j**3 - 116*j**2 + 344*j - 228. Let t(v) = 15*d(v) - 2*n(v). Factor t(k).
2*(k - 56)*(k - 2)*(k - 1)
Suppose 38*q - 51*q = 90*q. Let m(v) be the third derivative of -1/8*v**4 + 0*v**3 + 0 + q*v - 1/40*v**5 - 9*v**2. Find i, given that m(i) = 0.
-2, 0
Let n(t) = -230*t**3 - 2865*t**2 - 89150*t - 460080. Let y(g) = 14*g**3 + 179*g**2 + 5572*g + 28755. Let c(d) = -4*n(d) - 65*y(d). Factor c(l).
5*(l + 9)**2*(2*l - 71)
Factor -440/19*n + 78/19*n**2 + 0 + 2/19*n**3.
2*n*(n - 5)*(n + 44)/19
Suppose -22480*k**2 - 4000 - 41560*k**3 - 2399*k**5 - 2556*k**5 + 24080*k - 11410*k**4 + 5200*k**5 = 0. Calculate k.
-2, 2/7, 50
Let u = -3359 - -3359. Let c(r) be the third derivative of 1/20*r**5 - 1/2*r**3 + u + 0*r - 1/40*r**6 - 8*r**2 + 1/8*r**4. Factor c(q).
-3*(q - 1)**2*(q + 1)
Suppose 3*x = 4*l - l - 12, -l - 1 = 4*x. Let g be (x/4)/1 - (-493)/68. Factor -g*t**2 + 11*t**2 - 16*t**2 - 10*t**2 + 4*t.
-2*t*(11*t - 2)
Let p(o) be the third derivative of -o**5/140 + 9*o**4/8 + 32*o**3/7 + 84*o**2 + 14. Find j, given that p(j) = 0.
-1, 64
Suppose -4*g + 2*l - 3 = 7, 3*g = -l. Let w be (-22)/5 - (-4 + g). What is d in 0 + 1/5*d**4 - 1/5*d + w*d**2 - 3/5*d**3 = 0?
0, 1
Let x(s) = 2*s**3 + 6*s**2 - 5*s + 3. Let f be 12/((-48)/60*(-5)/2). Let l(w) = 22*w**3 + 68*w**2 - 56*w + 34. Let q(j) = f*l(j) - 68*x(j). Factor q(y).
-4*y*(y - 1)*(y + 1)
Factor 303*i - 3/2*i**3 + 297/2*i**2 + 0.
-3*i*(i - 101)*(i + 2)/2
Let p be (10/81)/((-48)/(-576)). Let i(m) be the first derivative of -2/9*m + 45 - p*m**3 + 17/18*m**2 + 4/9*m**4. Determine s so that i(s) = 0.
1/4, 2
Let g(b) be the second derivative of 2*b - 7 - 4/5*b**5 - 5/3*b**4 + 0*b**2 + 2/15*b**6 + 0*b**3. Factor g(j).
4*j**2*(j - 5)*(j + 1)
Let p(d) be the third derivative of -d**6/60 - 2*d**5/15 - 5*d**4/12 - 2*d**3/3 + 941*d**2 + 1. Factor p(q).
-2*(q + 1)**2*(q + 2)
Let g(f) = f**3 - 11*f**2 + 10*f. Let i be g(10). Solve a**2 + 109*a + i*a**3 - 106*a**2 - 175*a + 296*a - 5*a**3 = 0.
-23, 0, 2
Let o be 3/(-30)*-4 + (-24)/(-15). Suppose o*d - 5*v + 0*v - 8 = 0, 0 = -5*d + 5*v + 20. Find u such that u**2 + 75*u**d - 76*u**4 + u**3 + u**2 - 2*u**3 = 0.
-2, 0, 1
Let m(g) = g**3 + 5*g**2 + 3*g - 7. Let w be m(-3). What is x in -6*x**2 + 37*x**w - 8*x**2 - 16 - 28*x - 15*x**2 = 0?
-1/2, 4
Let a(g) be the first derivative of 16*g + 2/3*g**3 - 9*g**2 + 46. Factor a(d).
2*(d - 8)*(d - 1)
Let b be (0 - 8/10)/(110/13475). Let h be 1/(-3) - b/6. Factor 51*n - 4*n**4 - 28*n - 20*n**2 - 31*n - h*n**3.
-4*n*(n + 1)**2*(n + 2)
Let s be (37 - 29) + 5 + (-102)/30. Let l = 1683/1415 + 3/283. Factor -l*v**2 - s*v - 96/5.
-6*(v + 4)**2/5
Facto