rst derivative of 209 + 7/2*j - 1/6*j**3 + 3/2*j**2. Solve n(l) = 0.
-1, 7
Let p(t) = -t**5 + 114*t**4 - 171*t**3 + 40*t**2 - 18*t - 90. Let v(j) = -j**4 - j**3 + 3*j**2 + j + 5. Let l(u) = -p(u) - 18*v(u). Factor l(b).
b**2*(b - 94)*(b - 1)**2
Suppose 0 = g + 2*y - 8, -g + 2*y - 241 = -237. Determine j, given that 304/3*j**g + 0 - 32*j + 12*j**4 - 16/3*j**5 + 104*j**3 = 0.
-2, 0, 1/4, 6
Let z(c) be the first derivative of 2*c**6/3 + 76*c**5/5 + 112*c**4 + 256*c**3 + 787. Factor z(i).
4*i**2*(i + 3)*(i + 8)**2
Solve 237*x**3 - 2432*x**2 - 1800 + 618*x**3 + 4*x**5 + 3620*x - 159*x**3 - 72*x**4 - 16*x**4 = 0 for x.
1, 2, 5, 9
Suppose t - 6 = 3*l, 5*t + 5*l = 3*l + 30. Factor -320*u - 6 + 8*u**2 - 8*u**4 + 316*u + t + 4*u**3.
-4*u*(u - 1)*(u + 1)*(2*u - 1)
Let t = 121 + -133. Let r be (5/(-2))/(((-18)/t)/(-3)). Factor 83*a**r - 82*a**5 + a + 2*a**4 - a - 2*a**2 - a**3.
a**2*(a - 1)*(a + 1)*(a + 2)
Let p be (-532032)/(-13855) + 34/(-1). Determine l, given that 16/5*l**2 - p*l - 36/5 + 2/5*l**3 = 0.
-9, -1, 2
Let m(r) be the second derivative of 1/3*r**2 + 2*r + 26 - 1/54*r**4 - 2/27*r**3. Factor m(q).
-2*(q - 1)*(q + 3)/9
Let n(y) be the third derivative of -8*y**5/105 + 821*y**4/42 + 206*y**3/7 - 3*y**2 + 3*y + 9. Factor n(m).
-4*(m - 103)*(8*m + 3)/7
Let d(o) be the third derivative of -o**8/84 - 8*o**7/105 - 2*o**6/15 + 2*o**5/15 + 5*o**4/6 + 4*o**3/3 - 2150*o**2. Determine v, given that d(v) = 0.
-2, -1, 1
Suppose 2*r - 7 = -3*s + 3*r, 2*r = 4*s - 12. Let f be (10 - (6 - s)) + -3. Factor 8*w - 1178*w**f + 28*w + 108 + 1181*w**2.
3*(w + 6)**2
Let r(d) = 5*d**3 + 26*d**2 + 37*d. Let u(w) = 7*w**3 + 26*w**2 + 44*w. Let s(p) = 5*r(p) - 4*u(p). What is a in s(a) = 0?
-1/3, 0, 9
Let f(u) be the third derivative of -25/3*u**3 + 43*u**2 - 1/30*u**5 + 5/6*u**4 + 0*u + 0. Factor f(r).
-2*(r - 5)**2
Find l, given that 9 + 3/2*l**2 + 29/2*l = 0.
-9, -2/3
Factor 153656*s + 268289*s + 21847*s + 1644*s**2 + 41141648 + 2*s**3 + 6664*s.
2*(s + 274)**3
Let n(r) be the third derivative of -r**6/1020 - 19*r**5/255 - 107*r**4/204 - 70*r**3/51 - r**2 - 76. Factor n(x).
-2*(x + 1)*(x + 2)*(x + 35)/17
Let t = -17 + 31. Suppose 30 = -t*v + 19*v. Let o(n) = 11*n**3 + n - 6. Let w(l) = 10*l**3 - 5. Let x(d) = v*w(d) - 5*o(d). Let x(g) = 0. Calculate g.
-1, 0, 1
Let b(i) be the first derivative of -i**6/24 - 3*i**5/20 + 25*i**4/16 + 43*i**3/12 - 18*i**2 + 20*i + 2733. Let b(s) = 0. Calculate s.
-5, -4, 1, 4
Let v = -335659 - -335663. Factor 0 + 5/2*f**v + 15/2*f**3 + 5*f**2 + 0*f.
5*f**2*(f + 1)*(f + 2)/2
Let j(k) be the second derivative of k**5/120 + k**4/9 + 7*k**3/36 - 27*k + 8. What is f in j(f) = 0?
-7, -1, 0
Determine b so that -20*b + 48 + 72*b - 64*b**2 - 3*b**3 - 68*b**2 + 72*b**2 - 9346*b**4 + 9353*b**4 = 0.
-3, -4/7, 2
Let g(b) = 88*b**2 + 11000*b + 9. Let p be g(-125). Let -5/2*x**2 - 8 + p*x = 0. What is x?
8/5, 2
Let t(h) = -3*h**3 + 27483*h**2 + 7852416*h - 54. Let i(q) = q**3 - 10306*q**2 - 2944656*q + 20. Let z(y) = -27*i(y) - 10*t(y). Solve z(s) = 0.
-572, 0
Suppose 4*u + 3*r = 15, 4*u + 4*r = 3*r + 5. Suppose -2*c + 4*l + 6 = u, 4*c + 3*l - 4 = 8. Factor -11*d + d - d**3 - c*d**2 + 9*d - d**3.
-d*(d + 1)*(2*d + 1)
Let k(y) be the third derivative of -y**5/630 + y**4/126 - y**3/63 + 28*y**2 - 28*y. Factor k(a).
-2*(a - 1)**2/21
Let n = 33532217/17 + -1972483. Factor 0 - n*h**3 + 0*h**2 + 4/17*h**4 + 2/17*h.
2*h*(h - 1)**2*(2*h + 1)/17
Let y = -2577/623 - -9540368/11837. Let m = y - 801. Let 10/19*t**2 + m*t + 2/19*t**3 + 8/19 = 0. What is t?
-2, -1
Let y(l) be the third derivative of 0*l - 1/210*l**7 - 1 - 1/60*l**6 + 1/12*l**4 - 8*l**2 + 1/6*l**3 + 0*l**5. Factor y(s).
-(s - 1)*(s + 1)**3
Let a be (-4)/30 + (-1248)/(-585). Let -1377 - 3*x**3 - 689 + 530 - 72*x - 504*x - 72*x**a = 0. Calculate x.
-8
Let u be (-47 + (-13167)/(-297))*(-1)/4*1. Factor 2*j + 0 - u*j**3 - 52/9*j**2.
-2*j*(j + 9)*(3*j - 1)/9
Let j(o) be the first derivative of o**3/3 + 62*o**2 - 381*o + 1186. Factor j(c).
(c - 3)*(c + 127)
Let p(l) = -11*l - 45. Let u be p(-3). Let c be (-231)/(-308)*u*(-2)/27. Determine r so that 2/15*r**3 - 2/5 + 14/15*r - c*r**2 = 0.
1, 3
Let h(f) be the third derivative of 23*f**6/90 - 323*f**5/90 + 559*f**4/36 - 4*f**3/3 - f**2 + 5*f - 21. Solve h(b) = 0 for b.
1/46, 3, 4
Let x = -1520913/11 - -138265. Factor -6/11 + 14/11*y + x*y**3 - 10/11*y**2.
2*(y - 3)*(y - 1)**2/11
Let g(q) be the second derivative of q**8/6720 - q**7/6300 - q**6/180 + q**5/75 - 37*q**4/3 - 146*q. Let t(l) be the third derivative of g(l). Factor t(o).
(o - 2)*(o + 2)*(5*o - 2)/5
Let g(a) be the second derivative of a**5/4 + 415*a**4/3 - 1670*a**3/3 - 1761*a - 1. Suppose g(d) = 0. Calculate d.
-334, 0, 2
Let l(g) = -4*g**2 - 56*g + 68. Let u = -22 + 19. Let b(y) = y**2 + 19*y - 23. Let n(w) = u*l(w) - 8*b(w). Suppose n(p) = 0. What is p?
-5, 1
Let u(l) be the first derivative of -l**3/3 + 4628*l**2 - 21418384*l - 13635. Factor u(q).
-(q - 4628)**2
Let c be -3*(3 - 24/9)*-1. Let n be 0/((-5)/(-10)*-8 + c). Factor -2/11*b**2 + n*b + 2/11.
-2*(b - 1)*(b + 1)/11
Let a(k) be the first derivative of 2*k**3/3 - 11*k**2/2 - 4*k + 671. Let s be a(6). Factor -2/5*j**s - 18/5 - 12/5*j.
-2*(j + 3)**2/5
Let r(m) be the third derivative of m**5/30 - 16*m**4/3 - 140*m**3 - 2*m**2 + 785*m. Suppose r(k) = 0. What is k?
-6, 70
Let z be (-8)/(-16)*(1 + -1). Suppose 2*k - 250 + 246 = z. Solve 0 - 3/2*o - 1/2*o**3 + k*o**2 = 0.
0, 1, 3
Let d(z) be the second derivative of -z**4/2 - 457*z**3/9 + 34*z**2 - 2215*z. Determine v, given that d(v) = 0.
-51, 2/9
Let g(i) = i**2 + 11*i - 9. Let n(r) = r - 6. Let b be n(-6). Let d be g(b). Determine s so that 0*s**3 + 6*s**d + s**4 + 6*s**3 - 17*s**3 = 0.
0, 5
Factor 125*u - 3*u**3 + 41 + 208*u + 0*u**3 - 162*u**2 + 0*u**3 - 209.
-3*(u - 1)**2*(u + 56)
Let t(h) be the third derivative of 1/15*h**5 - 23*h**2 + 0*h + 0 - 7/6*h**3 + 1/8*h**4. Let t(a) = 0. Calculate a.
-7/4, 1
Let r = -58 + 54. Let a be (-5)/(-120)*-9*r/6. Factor a - 3/8*y**2 + 1/8*y**4 - 1/8*y + 1/8*y**3.
(y - 1)**2*(y + 1)*(y + 2)/8
Let b(n) be the first derivative of 5 - 8/5*n**2 - 32/5*n - 2/15*n**3. Factor b(m).
-2*(m + 4)**2/5
Find j, given that 13/3*j**2 + 5/6*j**4 + 0 + 131/6*j**3 + 0*j = 0.
-26, -1/5, 0
Suppose 256*k - 5 - 282 = 225. Factor 8/19*w**k + 6/19*w**3 - 4/19 - 2/19*w.
2*(w + 1)**2*(3*w - 2)/19
Determine y so that 142*y - 275*y - 34*y**4 + 202*y**2 + y**5 - 9*y**3 - 264 + 57*y + 12*y**4 = 0.
-3, -1, 2, 22
Let a(p) be the second derivative of 4/3*p**3 - 65*p - p**4 + 1/5*p**5 + 0*p**2 + 2. Factor a(o).
4*o*(o - 2)*(o - 1)
Factor -279684/5*u + 609/5*u**3 + 187272/5 + 91802/5*u**2 + 1/5*u**4.
(u - 2)*(u - 1)*(u + 306)**2/5
Let l = -947 - -899. Let u be (-106)/477*l/2. Let 13/3*x**2 - 4/3 - 16/3*x**3 - 3*x**4 + u*x = 0. Calculate x.
-2, -1, 2/9, 1
Suppose 3*g - 5*y = -36, 4*y - 8 = -g - 3. Let r = g - -9. Factor 16*v - 31*v - 4*v**3 + 16*v**r + 8 - 5*v + 0.
-4*(v - 2)*(v - 1)**2
Let n(c) be the first derivative of c**5/5 - 3*c**3 - 165. Solve n(j) = 0 for j.
-3, 0, 3
Suppose 3*u + 3*a = 2*u + 1, 2*a = -5*u + 31. Suppose -8*n + 31 - u = 0. Factor 6*z**3 + z**3 - 9*z**n + 10*z - z**2 - 4 + 2*z**4 - 5*z**2.
2*(z - 1)**3*(z + 2)
Let y = -552208 + 2761094/5. Determine u so that -24/5*u**3 + 63/5*u**2 - y*u + 0 + 3/5*u**4 = 0.
0, 2, 3
Let g = 6655/3 + -2217. Let v(r) be the first derivative of -5/6*r**2 + 10 + 1/9*r**3 + g*r. Factor v(m).
(m - 4)*(m - 1)/3
Let c = -293500 - -2641502/9. Solve -8*d**2 - 22/9*d**3 - 32/9*d + 128/9 - c*d**4 = 0.
-4, 1
Let a(y) be the third derivative of y**6/480 + 10*y**5 + 20000*y**4 + 64000000*y**3/3 + 127*y**2 + 4*y. Determine b so that a(b) = 0.
-800
Let a(d) be the second derivative of -d**6/45 + 2*d**5/15 + d**4 + 20*d**3/9 + 7*d**2/3 - 1615*d. Factor a(k).
-2*(k - 7)*(k + 1)**3/3
Let k(g) be the first derivative of -g**3/12 + 201*g**2/8 - 1223. Factor k(r).
-r*(r - 201)/4
Suppose 932/17 - 2/17*a**2 + 930/17*a = 0. What is a?
-1, 466
Let f = 10/63989 + 1023774/319945. Let -f + 1/5*k**2 - 3*k = 0. Calculate k.
-1, 16
Let y be (-1068)/(-891) + 8/16*(-8)/(-54). Factor y*i + 16/11 - 2/11*i**2.
-2*(i - 8)*(i + 1)/11
Let s be 32/(-24)*3/(-2). Suppose 4*f - 4*q - 12 = 0, 0 = -0*f + s*f + 5*q - 13. Solve -4*z**3 + 3*z**2 - f + 5*z + z**2 - z = 0.
-1, 1
Let 