 -4*v**3/3 - 224*v**2 - 880*v + 8815. Determine a so that b(a) = 0.
-110, -2
Let j be (-441)/(-54)*13176/6832. Determine y, given that -3*y - j + 3/4*y**2 = 0.
-3, 7
Let m(g) be the third derivative of -g**6/24 - 22*g**5/3 - 1255*g**4/24 + 850*g**3/3 - 910*g**2 + 2. Let m(v) = 0. Calculate v.
-85, -4, 1
Factor -49/2*n**2 - 199/2*n + 1/8*n**3 - 100.
(n - 200)*(n + 2)**2/8
Let r(z) be the first derivative of 0*z**3 - 1/24*z**6 + 1/2*z**2 - 1/4*z**5 - 2 - 5/12*z**4 + 0*z. Let m(f) be the second derivative of r(f). Factor m(s).
-5*s*(s + 1)*(s + 2)
Let f be ((-1023)/2387)/((27/42)/(-1)). Factor -2/3*q**2 + 16*q - 32/3 - 4*q**3 - f*q**4.
-2*(q - 1)**2*(q + 4)**2/3
Factor 308/5*d**3 + 0 + 0*d - 4/5*d**4 + 192*d**2.
-4*d**2*(d - 80)*(d + 3)/5
Let r(w) be the first derivative of 3*w**5/25 - 3*w**4/20 - 9*w**3/5 + 27*w**2/10 + 439. Factor r(o).
3*o*(o - 3)*(o - 1)*(o + 3)/5
Let l be ((31941/(-42))/(-39) - 21)/(3/(-4)). Factor -4/17*q + 0 - 2/17*q**l.
-2*q*(q + 2)/17
Let l(g) be the first derivative of 1/11*g**2 + 56 + 0*g - 2/33*g**3. Factor l(w).
-2*w*(w - 1)/11
Let x = 144134 + -288243/2. Factor -x*f - 1/2*f**3 - 5*f**2 + 0.
-f*(f + 5)**2/2
Let h be (-4)/10 + 51/15. Let o be h - 85/25 - 786/(-165). What is u in -2*u**2 + 72/11 + 2/11*u**3 + o*u = 0?
-1, 6
Let o(q) = -2*q**2 - 18*q - 12. Let g be o(-8). Suppose -g*s = -3*z + 9 - 5, -3*s = -z + 3. Let 0*j + 0*j**2 - 2/7*j**4 + z - 6/7*j**3 = 0. Calculate j.
-3, 0
Let d be ((-73)/(1971/(-1296)) - 37) + (-102)/10. Let a(i) = i**2 + 3*i + 2. Let x be a(-3). Suppose 3/5*m**x - d*m + 1/5 = 0. What is m?
1/3, 1
Let h(r) be the third derivative of r**5/120 + 73*r**4/48 + 35*r**3/2 - 17*r**2 + 79. Factor h(m).
(m + 3)*(m + 70)/2
Let r(z) be the first derivative of -z**3/4 - 87*z**2/2 - 336*z - 4804. Factor r(i).
-3*(i + 4)*(i + 112)/4
Let b = 28286 + -28283. Let r be (6/(-75))/((-2)/20). Determine h so that r*h**b + 8/5*h**2 - 4/5*h - 8/5 = 0.
-2, -1, 1
Let d(x) be the first derivative of 14*x**5/45 + 232*x**4/9 + 2938*x**3/27 + 1264*x**2/9 + 56*x - 3355. Let d(b) = 0. Calculate b.
-63, -2, -1, -2/7
Let z(o) be the second derivative of o**4/4 - 59*o**3/3 - 40*o**2 - o + 2230. Factor z(k).
(k - 40)*(3*k + 2)
Let r = 40 - 34. Factor r*a**3 + a**4 + 4*a + 8*a + 4 + 18*a**2 - 5*a**2.
(a + 1)**2*(a + 2)**2
Factor 4*n**4 - 17*n**3 + 2*n**3 + 0*n**4 - 5*n**2 + 13*n**2 + 27*n**3.
4*n**2*(n + 1)*(n + 2)
Determine x so that 0 + 6/5*x**5 + 8*x**2 + 16/5*x**3 + 0*x - 62/5*x**4 = 0.
-2/3, 0, 1, 10
Factor 0 - 1890/11*m + 2/11*m**2.
2*m*(m - 945)/11
Let h = -30 + 33. Suppose -33*i**2 + 4*i - i**h + 0*i + 2*i + 34*i**2 = 0. Calculate i.
-2, 0, 3
Suppose -21*o = k - 44, 282*o - 284*o = -3*k + 2. Let a be (16/120)/((-1)/(-5)). Find n, given that a*n**2 - k*n**3 + 0 + 4/3*n = 0.
-2/3, 0, 1
Find c, given that 2/13*c**3 + 254/13*c**2 + 1390/13*c - 2/13*c**4 + 2100/13 = 0.
-5, -3, 14
Suppose 21 = 19*t - 2544. Let v = t - 129. Factor s**5 + 2*s**5 - v*s**3 + s**2 + 2*s**2 - 3*s**4 + 3*s**3.
3*s**2*(s - 1)**2*(s + 1)
Let n(u) = -5*u + 50. Let m(h) = -25*h + 251. Let b(c) = -2*m(c) + 11*n(c). Let a be b(9). Factor 4*g - 3 - 12*g**a - g**4 - 18*g**2 - 16*g - 2*g**4.
-3*(g + 1)**4
Let k(n) be the third derivative of 2*n + 8*n**2 + 0 + 1/40*n**6 + 1/20*n**5 + 0*n**3 - 1/4*n**4. Factor k(v).
3*v*(v - 1)*(v + 2)
Let d = -68304 - -68323. Find c, given that 0 - 2/3*c - 16/3*c**5 + 19/3*c**2 - d*c**3 + 56/3*c**4 = 0.
0, 1/4, 1, 2
Let j(s) be the first derivative of 2*s**3/27 + 482*s**2/3 + 2890*s/9 - 169. Determine u so that j(u) = 0.
-1445, -1
Let s(q) be the second derivative of -q**6/15 + 32*q**5/5 - 207*q**4 + 4232*q**3/3 + 60835*q**2 + 27*q. Factor s(x).
-2*(x - 23)**3*(x + 5)
Let t(h) = -17*h**3 + 256*h**2 + 1216*h + 1591. Let u(d) = -12*d**3 + 192*d**2 + 912*d + 1192. Let w(s) = -8*t(s) + 11*u(s). Factor w(j).
4*(j + 2)*(j + 6)*(j + 8)
Let o(y) be the second derivative of -5*y**7/42 + 26*y**6/3 + 107*y**5/4 + 45*y**4/2 - y - 685. Suppose o(a) = 0. Calculate a.
-1, 0, 54
Let d(u) be the second derivative of -u**7/4620 - u**6/1980 + u**5/660 + u**4/132 + 13*u**3/2 - 2*u - 7. Let p(b) be the second derivative of d(b). Factor p(q).
-2*(q - 1)*(q + 1)**2/11
Let h(d) be the third derivative of -d**8/84 + 8*d**7/35 - 7*d**6/10 - 98*d**5/15 - 5*d**2 - 201. Factor h(l).
-4*l**2*(l - 7)**2*(l + 2)
Let w(c) = 15*c**4 + 90*c**3 + 160*c**2 - 20*c - 245. Let n(p) = 8*p**4 + 46*p**3 + 79*p**2 - 10*p - 123. Let v(m) = -5*n(m) + 3*w(m). Let v(g) = 0. What is g?
-4, -3, -2, 1
Let r = 69119/14 + -4937. Let t(l) be the first derivative of -2 + 3/14*l**4 - r*l**6 + 4/7*l**3 - 3/14*l**2 - 6/7*l - 6/35*l**5. Let t(a) = 0. Calculate a.
-2, -1, 1
Suppose 3*n + 5 - 11 = 0. Let r(u) = 3*u**2 - 229*u - 711. Let a be r(-3). Factor 0 + 0*q - 2/7*q**a + 4/7*q**n.
-2*q**2*(q - 2)/7
Factor 812*c**3 - 40800*c**2 - 129*c**4 - 134*c**4 - 41616*c + 390*c**4 - 131*c**4.
-4*c*(c - 102)**2*(c + 1)
Let z be (3/((-63)/(-1)))/((-4095)/1026 - -4). Determine d, given that -2/7*d**2 - 40/7*d - z = 0.
-19, -1
Let y(u) = -5*u**3 - 725*u**2 + 745*u - 5. Let m(o) = -2*o**3 + 2*o**2 + 3*o - 1. Let f(p) = -5*m(p) + y(p). Find j, given that f(j) = 0.
0, 1, 146
Let q(n) = 12*n**2 - 48*n + 4. Suppose -3*t + 14 = 70*l - 65*l, 3*l - 5*t = 22. Let h be q(l). Factor 2/3*z**h + 2/3 + 0*z**3 + 0*z - 4/3*z**2.
2*(z - 1)**2*(z + 1)**2/3
Let b(v) = 2*v**2 - 6*v - 8. Let c(z) = 4*z**2 - 5*z - 12. Let k(l) = 3*b(l) - 2*c(l). Factor k(p).
-2*p*(p + 4)
Let z(v) be the third derivative of -1/30*v**5 + 3*v**3 + 1/1080*v**6 + 18*v**2 + 0 + 1/2*v**4 + 0*v. Let r(q) be the first derivative of z(q). Factor r(m).
(m - 6)**2/3
Let p(x) = 5*x**2 - 2144*x + 4340. Let w(q) = 15*q**2 - 6430*q + 13025. Let z(y) = -25*p(y) + 8*w(y). Factor z(f).
-5*(f - 430)*(f - 2)
Let n(j) = 5*j**2 - 27*j + 25. Let d(v) = -15*v**2 + 80*v - 75. Suppose -14*a - 9*a - 230 = 0. Let s(x) = a*n(x) - 3*d(x). Let s(o) = 0. Calculate o.
1, 5
Let b(p) be the first derivative of p**3/9 + 289*p**2/6 - 290*p/3 + 1588. Factor b(u).
(u - 1)*(u + 290)/3
Let b(v) = -v - 10. Let o be b(-12). Let x be ((-4)/8*o)/(-1). Factor -2 + x - 2*s**3 + 4 + 5*s**2 + 3*s**3 + 7*s.
(s + 1)**2*(s + 3)
Let s(n) be the second derivative of -n**6/150 - n**5/20 + 11*n**4/30 - 8*n**3/15 + n - 421. Find v such that s(v) = 0.
-8, 0, 1, 2
Let u(a) = 2*a**2 - 84*a - 36. Let v(k) = 2*k**2 - 84*k - 36. Let z(m) = 4*u(m) - 5*v(m). Let f(w) = w**2 - 42*w - 16. Let y(t) = 9*f(t) + 4*z(t). Factor y(q).
q*(q - 42)
Let z(s) be the first derivative of s**6/13 + 248*s**5/65 - 97*s**4/26 - 1076*s**3/39 + 340*s**2/13 + 336*s/13 - 5287. Suppose z(p) = 0. What is p?
-42, -2, -1/3, 1, 2
Suppose 5*l - 69 = -3*d + l, 2*d - 60 = 2*l. Suppose 2*f = -f + 33. Let -2*a + d - 3*a - 2*a - f*a + 3*a**2 = 0. What is a?
3
Let g(l) be the first derivative of -46 + 43*l + 1/27*l**3 - 2/9*l**2 + 1/54*l**4. Let u(v) be the first derivative of g(v). Determine w, given that u(w) = 0.
-2, 1
Let i(y) be the first derivative of -y**4/4 - 11*y**3/3 + 6*y**2 + 950. Find t, given that i(t) = 0.
-12, 0, 1
Let b be 15/4 - 306/(-136). Let p(f) be the third derivative of -1/15*f**5 + 2/105*f**7 + 0*f**3 + 32*f**2 + 0*f + 0*f**4 + 0*f**b + 0. Factor p(i).
4*i**2*(i - 1)*(i + 1)
Suppose -205 = -2*m + y, 2*m = y - 3*y + 208. Suppose 3*k - 313 = -m. Let 7*r**4 + 12 + k*r - 4*r**4 - 53*r + 39*r**2 - 18*r**3 - 53*r = 0. Calculate r.
1, 2
Suppose 0 = -r - 5*t - 25, 6*r - 10*r + 3*t + 15 = 0. Let l(q) be the first derivative of r*q - 3/2*q**2 - 2*q**3 - 3/4*q**4 - 1. Find b such that l(b) = 0.
-1, 0
Let l(w) be the third derivative of -1/75*w**5 + 0*w**4 - 3/200*w**6 - 1/1680*w**8 - 1/175*w**7 + 6*w**2 - 4 + 0*w**3 + 0*w. Suppose l(z) = 0. Calculate z.
-4, -1, 0
Let w(x) be the first derivative of -x**3/6 - 47*x**2/16 + 3*x/2 - 1131. Let w(r) = 0. Calculate r.
-12, 1/4
Suppose -5*d - 10 = 0, 4*d + 8 = x - 3. Let i(b) = 5*b**3 + 17*b**2 - 2*b - 17. Let z(p) = 6*p**3 + 18*p**2 - 2*p - 18. Let f(l) = x*z(l) - 4*i(l). Factor f(r).
-2*(r - 1)*(r + 1)*(r + 7)
Let p(o) be the first derivative of -4*o**5/5 + 47*o**4 - 332*o**3/3 - 622*o**2 - 720*o - 333. Factor p(s).
-4*(s - 45)*(s - 4)*(s + 1)**2
Factor 60*f + 15/2*f**3 + 81/2*f**2 + 18.
3*(f + 2)*(f + 3)*(5*f + 2)/2
Factor -149/5*n - 1/5*n**2 + 30.
-(n - 1)*(n + 150)/5
Fac