**2/11 + 767*l. Factor g(s).
2*(s - 3)*(s + 17)/11
Suppose -2*u**2 - 54/7*u + 6/7*u**3 + 2/7*u**4 - 36/7 = 0. Calculate u.
-3, -2, -1, 3
Let w be (1/(-2))/((-370)/(-380) - 1). Factor 192*b**2 + 240*b + 6 - 10*b**3 + 11*b**3 - 48 + w*b**3 - 86.
4*(b + 2)*(b + 8)*(5*b - 2)
Factor -240*u + 4/3*u**2 + 1424/3.
4*(u - 178)*(u - 2)/3
Let t(m) be the second derivative of -m**4/42 + 137*m**3/7 - 410*m**2/7 + 5086*m. Suppose t(l) = 0. Calculate l.
1, 410
Let n(p) = 4*p**2 - 42*p - 32462. Let m be n(-85). Factor 48/5 + 4/5*x**2 + 2/5*x**3 - m*x.
2*(x - 2)**2*(x + 6)/5
Suppose 67*v**2 + 64*v**2 + 59*v**2 - 1048 + 139*v - 191*v**2 = 0. Calculate v.
8, 131
Let x(a) be the first derivative of a**3/4 - 75*a**2/8 + 99*a/2 + 1327. Suppose x(r) = 0. Calculate r.
3, 22
Let d(p) be the first derivative of -78/19*p**2 - 149 - 3042/19*p - 2/57*p**3. Factor d(s).
-2*(s + 39)**2/19
Let i(r) = r**2 - 30*r + 50. Let j(w) = 4*w**2 - 154*w + 248. Let b(d) = -14*i(d) + 3*j(d). Factor b(g).
-2*(g - 1)*(g + 22)
Suppose 3*c + l - 17 = 0, -23 = -2*c - 1269*l + 1266*l. Find o, given that -2/7*o**c - 20/7 - 54/7*o - 50/7*o**2 - 18/7*o**3 = 0.
-5, -2, -1
Let m be (1680/6300)/(4/30). Suppose -1/2*j**2 - 2*j - m = 0. What is j?
-2
Let w be ((-7)/(140/16))/((-1)/5). Factor -154*u**4 + 166*u**w - 48*u**2 - 8*u**3 + 3*u**5 + u - 33*u + u**5.
4*u*(u - 2)*(u + 1)*(u + 2)**2
Determine m so that -24/7*m - 2/7*m**2 + 128/7 = 0.
-16, 4
Let h(n) = -38*n**2 + 906*n + 1908. Let w(d) = 8*d**2 - 181*d - 382. Let l(k) = -6*h(k) - 28*w(k). Factor l(z).
4*(z - 94)*(z + 2)
Let k(y) be the second derivative of 3/20*y**5 - 13 + 9/2*y**3 - 5/2*y**4 + 0*y**2 - 12*y. Find z, given that k(z) = 0.
0, 1, 9
Let w(y) be the second derivative of 60*y + 5/6*y**3 + 0 + 1/4*y**5 - 5/6*y**4 + 0*y**2. Let w(q) = 0. Calculate q.
0, 1
Let r(b) = -10*b**4 + 1510*b**3 + 5*b**2 + 20*b. Let i(w) = 15*w**4 - 2265*w**3 - 7*w**2 - 28*w. Let a(n) = -5*i(n) - 7*r(n). Factor a(s).
-5*s**3*(s - 151)
Let x(k) be the second derivative of -k**7/14 + 3*k**6 - 207*k**5/4 + 475*k**4 - 2520*k**3 + 7776*k**2 + k + 22. Factor x(g).
-3*(g - 9)**2*(g - 4)**3
Let a(d) be the third derivative of -d**6/40 + 3*d**5/2 - 75*d**4/2 + 500*d**3 - 5*d**2 - 38. What is t in a(t) = 0?
10
Let h be (-2 - -1)*2*-1. Let t = 1034867 + -1034866. Factor -t + 4/5*b + 1/5*b**h.
(b - 1)*(b + 5)/5
Let x(q) be the second derivative of 3*q**3 + 1/4*q**4 - 20*q - 3 - 21/2*q**2. Factor x(b).
3*(b - 1)*(b + 7)
Let v(o) = 21*o**2 - 147*o + 90. Let g be v(7). Factor 2/5*k**2 - 12*k + g.
2*(k - 15)**2/5
Suppose 220201*g - 220422*g + 442 = 0. Determine x, given that 2/3*x**g - 12*x + 12*x**3 - 2/3*x**4 + 0 = 0.
-1, 0, 1, 18
Let w(x) be the first derivative of -2*x**3/21 - 442*x**2/7 + 1776*x/7 - 134. Solve w(s) = 0.
-444, 2
Let s(f) be the first derivative of 1/13*f**2 + 2/39*f**3 - 4/13*f + 68. Factor s(x).
2*(x - 1)*(x + 2)/13
Determine w so that -5*w**2 + 181 - 2*w**2 + 2*w**2 - 1116 - 116*w - 24*w = 0.
-17, -11
Suppose -13*v + 9 - 2 = 7. Solve 2/3*j + v + 1/6*j**2 = 0.
-4, 0
Let n = 28 - 20. Determine k so that -2*k**2 - 12*k**5 + 12*k**2 + 4*k - 5*k**3 - 2*k**4 + 13*k**5 - n = 0.
-2, -1, 1, 2
Suppose 0 = -4*h + 5*g + 18 - 126, h + 3*g + 10 = 0. Let w = -18 - h. Factor 30*d**3 - 2*d**5 + 6*d**w - 38*d**3 + 2*d**4.
-2*d**3*(d - 2)**2
Factor -135/2 - 3/8*v**2 - 87/8*v.
-3*(v + 9)*(v + 20)/8
Suppose 0 = 77*b - 2300 - 10. Let r be 149/42 + -2 + b/105. Factor 0*w - 3/2*w**4 + 0 + 0*w**2 + 1/3*w**3 - r*w**5.
-w**3*(w + 1)*(11*w - 2)/6
Let i(q) be the first derivative of 3*q**5/35 - 3*q**4 + 213*q**3/7 + 33*q**2 - 14520*q/7 + 3227. Find d, given that i(d) = 0.
-4, 10, 11
Let h be 10250/(-4200) - (-2)/(-7). Let q = h - -43/12. Suppose 4/7 + 2/7*i**2 - q*i = 0. Calculate i.
1, 2
Let 108*l - 3/2*l**4 + 0 - 18*l**2 - 15*l**3 = 0. What is l?
-6, 0, 2
Let l(y) be the second derivative of 3*y**4/4 - 77*y**3/6 + 34*y**2 + 9956*y. Suppose l(m) = 0. Calculate m.
1, 68/9
Factor 0 - 116280/7*i**2 - 684/7*i**4 + 2/7*i**5 + 59162/7*i**3 + 57800/7*i.
2*i*(i - 170)**2*(i - 1)**2/7
Suppose -4/5*f - 4/5 - 1/5*f**2 = 0. What is f?
-2
Let n = -27505/8 - -137653/40. Suppose -n*j**2 - 14/5 - 1/5*j**3 - 29/5*j = 0. What is j?
-14, -1
Suppose 646*y**4 - 1298*y**4 + 646*y**4 + 22*y**3 + 31 - 184*y + 65 + 48*y**2 = 0. What is y?
-3, 2/3, 2, 4
Let j(v) be the third derivative of v**5/60 - 11*v**4/24 - 373*v**2 + 3. Factor j(m).
m*(m - 11)
Let r be ((-6)/70)/(264/(-308)). Let g(f) be the second derivative of r*f**5 + 0 - 9*f**2 - 7/6*f**4 + 5*f**3 + f. Let g(q) = 0. What is q?
1, 3
Let p(n) be the second derivative of -1/24*n**4 + 0*n**2 - 1/2*n**3 + 14 - 1/60*n**6 - 3*n + 1/10*n**5. Let p(o) = 0. Calculate o.
-1, 0, 2, 3
Suppose 2*a = -2*a - 3*x + 212, 0 = -3*a + 2*x + 176. Let 576 + a*w - 167*w**2 + 32*w + 171*w**2 + 8*w = 0. Calculate w.
-12
Let d(a) be the third derivative of a**8/20160 - a**7/1512 - a**6/2160 + a**5/72 - a**4/24 + 2*a**2 + 1. Let y(g) be the second derivative of d(g). Factor y(w).
(w - 5)*(w - 1)*(w + 1)/3
Suppose -1084/9*n**3 + 294848/9*n + 48598/3*n**2 + 2/9*n**4 + 147968/9 = 0. Calculate n.
-1, 272
Let h(s) be the first derivative of 2*s**3/33 + 120*s**2/11 - 992*s/11 - 5. Factor h(q).
2*(q - 4)*(q + 124)/11
Let j(g) be the third derivative of -g**6/60 + 19*g**5/60 + 5*g**4/12 + g**3/3 + 154*g**2. Let v be j(10). Let 0 + 2/7*x**3 - 4/7*x + 2/7*x**v = 0. Calculate x.
-2, 0, 1
Let n be (6/12)/(12 + (-17)/((-1377)/(-954))). Factor -3/4*x**2 + n*x + 3.
-3*(x - 4)*(x + 1)/4
Let u(f) be the first derivative of f**6/600 + f**5/150 - f**4/120 - f**3/15 + 43*f**2 + 34. Let t(p) be the second derivative of u(p). Solve t(i) = 0.
-2, -1, 1
Let m(k) = -3*k**2 - 4*k - 1. Let g(o) = -10*o**2 - 120*o + 315. Let t(c) = -g(c) + 5*m(c). Factor t(l).
-5*(l - 16)*(l - 4)
Let 2*j**4 + 359*j**3 - 80*j**3 + 2754*j + 2*j**4 - 4382*j**2 - 18*j**4 + 207*j**3 + 1156 = 0. Calculate j.
-2/7, 1, 17
Let m(l) be the third derivative of 0*l + 0 - 1/12*l**6 + 0*l**3 + 15/4*l**4 - 30*l**2 - 5/42*l**7 + 15/4*l**5. Suppose m(w) = 0. What is w?
-3, -2/5, 0, 3
Let u(n) be the first derivative of 0*n**2 + 2/9*n**3 - 6 - 1/18*n**4 - 19*n. Let c(l) be the first derivative of u(l). Factor c(h).
-2*h*(h - 2)/3
Let i(l) = -4624*l - 106348. Let h be i(-23). Factor -2*z**3 - 2/7*z**h + 0 - 8/7*z**2 + 24/7*z.
-2*z*(z - 1)*(z + 2)*(z + 6)/7
Suppose 20*w + 35*w + 56*w - 222 = 0. Let o(p) be the second derivative of -1/9*p**3 + 0*p**w + 0 - 2/9*p**4 + 11*p. Find h, given that o(h) = 0.
-1/4, 0
Let c be (2/6 + 1)*3. Let g be 94/(-48)*-7 - (-26)/(9984/(-144)). What is l in 5*l**c - g*l**3 + 35/3*l**2 - 10/3*l + 0 = 0?
0, 2/3, 1
Let f(a) be the first derivative of 9*a**6/5 + 486*a**5/25 - 171*a**4/5 - 1436*a**3/3 + 1855*a**2 - 2450*a + 5156. Factor f(s).
2*(s + 7)**2*(3*s - 5)**3/5
Let t(a) be the first derivative of a**3/18 + 35*a**2/12 - 1154. Factor t(w).
w*(w + 35)/6
Let g(r) be the first derivative of -5*r**8/168 + r**7/15 + r**6/10 + 43*r**2/2 - 15. Let s(z) be the second derivative of g(z). Factor s(c).
-2*c**3*(c - 2)*(5*c + 3)
Let k = 393182/3 + -131049. Factor 25/3*y**3 + 5/3*y**4 + 5*y + 0 + k*y**2.
5*y*(y + 1)**2*(y + 3)/3
Factor -156*w - 107*w**2 + 1426*w**4 + 154*w**3 - 104*w**3 - 1425*w**4.
w*(w - 3)*(w + 1)*(w + 52)
Let s(t) be the second derivative of -1521*t**2 + 26*t**3 - 1/6*t**4 + 6 + 9*t. What is q in s(q) = 0?
39
Let b = -2721599/336 - -8100. Let k(w) be the third derivative of 0*w**5 + 0*w + 0*w**4 - 2*w**2 + 0 - 2/105*w**7 + 0*w**3 - 1/30*w**6 - b*w**8. Factor k(a).
-a**3*(a + 2)**2
Let w(j) be the third derivative of 0*j**4 - 5*j**2 + 0 - 1/60*j**6 + 0*j**3 + 1/70*j**7 + 0*j**5 + 4*j - 1/336*j**8. Find n, given that w(n) = 0.
0, 1, 2
Let q(o) = -o**2 - 19*o + 5. Let l be q(-6). Let g = -78 + l. Find p such that 0*p**2 + 22*p + 2*p - 30 - g*p**2 + p = 0.
2, 3
Let m(t) be the second derivative of -5*t**4/12 + 15*t**3 + 875*t**2/2 - t - 350. Factor m(z).
-5*(z - 25)*(z + 7)
Let j(r) be the second derivative of r**4/4 + 244*r**3 + 89304*r**2 - 6170*r - 1. Factor j(w).
3*(w + 244)**2
Let s(j) be the third derivative of -57*j**2 - 1/2*j**4 - 6*j**3 + 0*j + 0 + 1/20*j**5. Factor s(k).
3*(k - 6)*(k + 2)
Let k(c) be the first derivative of c**3/3 + 54*c**2 + 891*c - 1986. Let k(i) = 0. What is i?
-99, -9
Let