tor k(y).
-2*(y + 4)**2*(y + 8)*(y + 9)
Let i = -1208419 - -1208421. Determine p so that 9/5*p - 2/5*p**i - 4/5 = 0.
1/2, 4
Suppose -72 = -20*n - 4*n. Let o(b) = 11*b**3 + 26*b**2 + b. Let w(h) = 6*h**3 + 13*h**2 + h. Let z(k) = n*o(k) - 7*w(k). Suppose z(a) = 0. Calculate a.
-1, -4/9, 0
Let q(o) = -5*o**2 + 27*o - 32. Let w(b) = -35*b**2 + 190*b - 225. Suppose -18*n = 61 - 25. Let z(v) = n*w(v) + 15*q(v). Find r, given that z(r) = 0.
2, 3
Let h(j) = j**2 + 133*j + 887. Let a be h(-7). Let t(i) be the third derivative of 0 - i**4 - 6*i**3 + 0*i - 1/15*i**a - 37*i**2. Solve t(b) = 0 for b.
-3
Let a(s) = s**3 + 4*s**2 - 5*s. Let l be a(-4). Suppose g - 5*g + 44 = -3*z, -5*g - 5*z + l = 0. Factor -g*u**2 + 29*u - 12*u**2 - 16*u**3 + 21*u**3 - 9*u.
5*u*(u - 2)**2
Let x be -2*(-5 - (-140)/30). Solve -4/3*t**2 - x*t**5 + 2/3*t + 0 + 4/3*t**4 + 0*t**3 = 0.
-1, 0, 1
Let h(w) be the third derivative of w**8/40320 + w**7/3360 - w**6/144 - 71*w**5/60 + 5*w**2 + 2. Let f(i) be the third derivative of h(i). Factor f(d).
(d - 2)*(d + 5)/2
Let t(j) be the first derivative of 36*j**5/5 - 7*j**4 - 8*j**3/3 + 2200. Factor t(l).
4*l**2*(l - 1)*(9*l + 2)
Let n(t) be the third derivative of t**8/20160 - t**7/504 - 11*t**6/720 + t**5/30 - t**2 - 5. Let f(m) be the third derivative of n(m). Factor f(q).
(q - 11)*(q + 1)
Let i be (-1072)/136 + 8 + 166/34. Factor 257 + 5*b**4 - 6*b**3 - 254 + 4*b - 6*b**2 - b + 3*b**i - 2*b**4.
3*(b - 1)**2*(b + 1)**3
Let i(f) be the first derivative of -5*f**4/16 + 3*f**3/4 + 17*f**2/8 + 3*f/4 - 244. Factor i(c).
-(c - 3)*(c + 1)*(5*c + 1)/4
Let w be 8/3*(-375)/(-350). Suppose 41*o = -98*o. Solve -8/7*n**5 + o*n - 12/7*n**2 + 16/7*n**3 + w*n**4 + 0 = 0.
-1, 0, 1/2, 3
Let h be -5 + 14/6*3. What is r in 2*r - 2*r**h - 3495 - 6*r + 3501 = 0?
-3, 1
Let c(l) = l + 5. Let d be c(-3). Let i(t) = -t**3 - 2*t**2 + 2. Let v be i(-2). Factor 43*x**v + 96*x + 25*x**2 - 4*x**d + 36.
4*(4*x + 3)**2
Suppose 0 = 54*b + 369 - 963. Let v(f) = 2*f**3 + 3*f**2 - 13*f + 8. Let g(r) = 0*r**3 + 4 + 2*r**2 - 3*r + r**3 - 4*r. Let c(h) = b*g(h) - 6*v(h). Factor c(a).
-(a - 4)*(a - 1)*(a + 1)
Let t = -1297876 + 1297879. Factor -1/2*i**t - 1/6*i**4 - 1/3*i**2 + 0*i + 0.
-i**2*(i + 1)*(i + 2)/6
Suppose 110/17*i**3 - 42/17*i**4 + 28*i**2 + 8*i - 80/17 = 0. What is i?
-2, -2/3, 2/7, 5
Let f = 275 - 273. Find w such that -3889 - 3*w**2 - 2*w + 3901 + w**f = 0.
-3, 2
Let u(d) be the second derivative of d**4/4 + 58*d**3 - 99*d - 2. Factor u(h).
3*h*(h + 116)
Let n be (-57)/38*16/(-24) + 9/(-45). Suppose 2/5*d - n - 2/5*d**3 + 4/5*d**2 = 0. Calculate d.
-1, 1, 2
Let j(y) be the third derivative of y**8/672 - y**7/210 - y**6/20 + y**5/3 - 2*y**4/3 - 483*y**2. Let j(r) = 0. What is r?
-4, 0, 2
Let g be 50/10 - (-3)/(-1). Suppose 5*r = -10, 2*j - g*r - 20 = -0*r. Factor 2 - 4*t - 11*t**2 + 6*t**4 - j*t**2 + 13*t**2 + 2*t**4 + 8*t**3.
2*(t + 1)**2*(2*t - 1)**2
Let o(x) = -9*x**2 - 285*x - 183. Let r be o(-31). Let g(v) be the first derivative of 14 + 1/6*v**r + 3*v**2 + 18*v. Find n, given that g(n) = 0.
-6
Let j(u) be the third derivative of -9*u**7/280 - 53*u**6/240 - 5*u**5/12 + u**4/12 - 2*u**2 + 3*u. Factor j(r).
-r*(r + 2)**2*(27*r - 2)/4
Let r(t) be the first derivative of t**5/15 + 13*t**4/3 + 50*t**3/3 + 74*t**2/3 + 49*t/3 - 4621. Factor r(q).
(q + 1)**3*(q + 49)/3
Let l = 51770/9 + -249211/45. What is r in -l*r - 1734/5 - 3/5*r**3 - 108/5*r**2 = 0?
-17, -2
Let k(n) be the second derivative of 0 - 6/5*n**5 + 0*n**2 - 3/4*n**4 - 3/10*n**6 - 32*n + n**3. Factor k(p).
-3*p*(p + 1)*(p + 2)*(3*p - 1)
Let f(v) = -v**4 + 187*v**3 - 715*v**2 + 531*v. Let l(i) = -186*i**3 + 714*i**2 - 531*i. Let n(p) = 3*f(p) + 2*l(p). Determine q, given that n(q) = 0.
0, 1, 3, 59
Let g(b) be the third derivative of -b**5/30 - 13*b**4/12 - 10*b**3 - 27*b**2 - 14*b. Factor g(o).
-2*(o + 3)*(o + 10)
Suppose -571 = 177*n - 1810. Let s(j) be the first derivative of -n + 0*j + 27/25*j**5 + j**3 - 12/5*j**4 + 3/5*j**2. Factor s(u).
3*u*(u - 1)**2*(9*u + 2)/5
Determine f, given that -55*f + 1/2*f**2 + 3025/2 = 0.
55
Let t = -235 - -232. Let o(x) = -11*x**3 - 60*x**2 + 132*x - 70. Let b(i) = -31*i**3 - 180*i**2 + 397*i - 210. Let m(u) = t*b(u) + 8*o(u). Solve m(w) = 0.
-14, 1
Suppose 170 - 665 = -165*m. Factor -84*r**m + 16*r**4 + 189/2*r + 81/4 + 297/4*r**2.
(r - 3)**2*(8*r + 3)**2/4
Determine l, given that 374/15*l**3 + 46/15*l**4 + 266/3*l**2 + 400/3*l + 2/15*l**5 + 200/3 = 0.
-10, -5, -2, -1
Let v(i) be the second derivative of -i**6/20 + 24*i**5/5 + 67*i**4/8 - 65*i**3/2 + 16*i + 47. Suppose v(h) = 0. Calculate h.
-2, 0, 1, 65
Let i(a) be the first derivative of 5*a**3/6 - 65*a**2/4 + 30*a - 269. Suppose i(t) = 0. Calculate t.
1, 12
Factor 5*h**3 - 410*h**2 + 395*h + 279 + 285 + 246.
5*(h - 81)*(h - 2)*(h + 1)
Let w(o) be the first derivative of o**4/12 - 2*o**3/3 + 5*o**2/6 + 4*o - 639. Determine v so that w(v) = 0.
-1, 3, 4
Let r(h) = -h**3 - h**2 - 13*h - 127. Let g be r(0). Let f = 1025/8 + g. Factor 0*u + 0 - 3/8*u**4 + f*u**3 - 3/4*u**2.
-3*u**2*(u - 2)*(u - 1)/8
What is g in 2195/4*g**2 - 436*g + 87 - 25/4*g**3 = 0?
2/5, 87
Suppose -4*l - 4*d = l + 1182 - 1318, 0 = 2*d - 8. Factor 129/8*w**2 - l*w + 9/2 + 27/8*w**3.
3*(w - 1)*(w + 6)*(9*w - 2)/8
Let n be 0 + (-5 + 1)/(-4) + 1. Let 0*h**3 - 8*h**n + 41*h**5 - 53*h**5 + 32*h**4 - 12*h**3 = 0. What is h?
-1/3, 0, 1, 2
Let l(k) = 38*k**2 - 33*k - 68. Let s(f) = -11*f**2 + f - 4. Let g(p) = l(p) + 3*s(p). Factor g(w).
5*(w - 8)*(w + 2)
Let s = 10/83 - 216/415. Let y = 3/5 + s. Determine c so that y*c + 2/5 - 1/5*c**2 = 0.
-1, 2
Let p(a) be the first derivative of -1/18*a**6 + 0*a**5 + 7/12*a**4 + 2/3*a**3 + 0*a + 0*a**2 + 78. Find k such that p(k) = 0.
-2, -1, 0, 3
Let t(r) be the second derivative of 4*r - 3 - 1/39*r**4 - 7/39*r**3 - 4/13*r**2 + 1/130*r**5. Suppose t(w) = 0. Calculate w.
-1, 4
Factor -52*v**4 + 20*v**2 - 271*v + 75*v**4 + 64*v**4 + 345*v**3 + 316*v**2 + 259*v.
3*v*(v + 2)**2*(29*v - 1)
Suppose 0 = 2*h + 4*o - 10, -6*h + o = -7*h + 4. Let 80*m**h - 4*m**4 + 0*m**4 + m**4 - 86*m**3 + 9*m**2 = 0. Calculate m.
-3, 0, 1
Suppose -26*t + 177 = 146*t - 30 - 137. Find b such that -104/3*b + 0 - 4/3*b**t = 0.
-26, 0
Let d(z) = z**2 + 1. Let q(h) = -4*h**2 + 11*h - 15. Let v(i) = 5*d(i) + q(i). Let y be v(-12). Factor 8*s + 76*s**2 - 88*s**2 + 2*s**4 + y*s**4.
4*s*(s - 1)**2*(s + 2)
Factor -2/13*c**4 - 144/13*c**3 - 2732/13*c**2 - 2450/13 - 5040/13*c.
-2*(c + 1)**2*(c + 35)**2/13
Let h be 5544/1540*(-150)/(-162). Factor -1/3*f**3 - h + 2*f**2 - f.
-(f - 5)*(f - 2)*(f + 1)/3
Suppose 48*a - 25*a = 25001. Let n = a + -1083. What is f in 6/7*f**n + 10/7*f**3 + 4/7*f**2 + 0*f + 0 = 0?
-1, -2/3, 0
Let a(c) be the third derivative of c**6/120 - c**5/60 - c**3/6 + 52*c**2. Let t(p) = -28*p**3 + 52*p**2 + 68*p + 30. Let i(n) = -28*a(n) - 2*t(n). Factor i(h).
4*(h - 4)*(h + 1)*(7*h + 2)
Let b(s) = s**2 + 7*s - 12. Let c(q) = -q + 8. Let a be c(6). Let j(o) = 5*o**2 + 27*o - 50. Let p(m) = a*j(m) - 9*b(m). Factor p(l).
(l - 8)*(l - 1)
Suppose -5*x = 2*b + 18, -17 + 8 = 2*x - b. Let s be -3 + 77 - 4 - x. Factor 70*o**2 - 60*o + 4 + 12*o + s*o**2.
4*(6*o - 1)**2
Let k be 2 + 14/14 + -1 + 3. Suppose -3*h + 29 = 5*y, 2*y - k*h = 3 - 10. Factor -y*i - 37*i**2 + 6 + 19*i**2 + 16*i**2.
-2*(i - 1)*(i + 3)
Find q such that 2612/5 + 2616/5*q + 4/5*q**2 = 0.
-653, -1
Let k(w) be the third derivative of -w**8/40320 + w**7/20160 + w**6/2880 + 79*w**5/60 + 80*w**2. Let d(r) be the third derivative of k(r). Factor d(y).
-(y - 1)*(2*y + 1)/4
Let s(g) be the second derivative of -5*g**7/42 + 4*g**6/3 - 6*g**5 + 40*g**4/3 - 40*g**3/3 - 278*g. Let s(h) = 0. Calculate h.
0, 2
Let t = 54 + -51. Suppose -4*i + 9 = -t. Factor 8*s + 33*s**3 - 6*s**3 - 13*s**i - 16*s**3.
-2*s*(s - 2)*(s + 2)
Let p(u) be the first derivative of -u**7/60 - u**6/45 - u**5/105 - 28*u**3/3 + 73. Let h(j) be the third derivative of p(j). Factor h(q).
-2*q*(7*q + 2)**2/7
Let b(d) = -d**2 + 29. Let o(z) = 3*z**2 + 205*z - 152. Let q(h) = -2*b(h) + o(h). Factor q(m).
5*(m - 1)*(m + 42)
Let c = -6/2227 + 2251/8908. Let r(s) be the first derivative of -2/3*s**3 + 1/2*s**2 - c*s**4 - 10 + 2*s. Factor r(l).
-(l - 1)*(l + 1)*(l + 2)
Let u(v) be the third derivative of v**6/120 + v**5/3 + 53*