 285*g**4/4 + 380*g**3/3 + 70*g**2 - 2*g - 189. Find w, given that p(w) = 0.
-2, -1, -1/4, 14
Let m(b) be the first derivative of -76/3*b**3 + 97 - 26*b**2 + 24*b. Solve m(s) = 0.
-1, 6/19
Let z(s) be the first derivative of -s**3 + 63*s**2/2 - 312*s - 3953. Solve z(d) = 0 for d.
8, 13
Suppose -114*h - 93*h + 10*h + 46*h + 453 = 0. Factor 0 + 0*q - 6*q**4 - 8/5*q**5 - 24/5*q**h + 8/5*q**2.
-2*q**2*(q + 2)**2*(4*q - 1)/5
Let g(h) be the third derivative of 31/16*h**3 - 9*h**2 - 1/160*h**5 + 0*h - 15/32*h**4 + 0. Determine n, given that g(n) = 0.
-31, 1
Let x(j) = -j**2 + 99*j - 2408. Let p be x(44). Let h(r) be the first derivative of 0*r + 4/27*r**3 - p + 2/45*r**5 + 1/6*r**4 + 0*r**2. Solve h(l) = 0.
-2, -1, 0
Let q = 2956 - 2955. Let r(j) be the first derivative of 8*j + q + 4*j**3 + 1/10*j**5 - j**4 - 8*j**2. Factor r(d).
(d - 2)**4/2
Let i(o) = 6*o**2 + 1115*o - 2286. Let h(y) = y**2 - 36. Let s(b) = h(b) - i(b). Factor s(z).
-5*(z - 2)*(z + 225)
Let q(j) be the third derivative of -160/3*j**4 + 0*j + 0 + j**3 + 4/3*j**5 - 50*j**2 - 1/72*j**6. Let b(y) be the first derivative of q(y). Factor b(g).
-5*(g - 16)**2
Let n be -51 - ((-67386)/429 - -57). Let 114/13*l**3 - n*l**2 + 484/13*l + 0 + 38/13*l**4 + 2/13*l**5 = 0. What is l?
-11, 0, 1, 2
Let w(j) be the third derivative of j**6/660 + 2*j**5/165 - 85*j**4/132 - 8*j**3/3 + 3049*j**2 + 2. What is t in w(t) = 0?
-11, -1, 8
Let i = 44504/377417 - 6/22201. Let b = 1/674 - -48511/11458. Factor i*n**2 - 24/17*n + b.
2*(n - 6)**2/17
Suppose -35*f + 38400 = 29*f. Let w = f - 597. Determine h so that 8/13*h**w - 2/13*h**4 + 8/13 - 8/13*h - 6/13*h**2 = 0.
-1, 1, 2
Let l(j) = j**3 + 5*j**2 + j + 5. Let k be l(-5). Suppose -5*n - 13 = 4*v, k = n + 12 - 7. Factor 3/2*r - 3/4*r**v + 0 - 3/4*r**2.
-3*r*(r - 1)*(r + 2)/4
Let x(h) = -h**3 + 2*h**2 - 3*h - 5. Let y be x(2). Let d be (-2)/7*y/((-660)/(-28)). Factor -4/15 + d*v**2 + 2/15*v.
2*(v - 1)*(v + 2)/15
Suppose -75*u**3 + 693/2*u**2 - 2793/4*u + 6*u**4 + 1029/2 = 0. Calculate u.
2, 7/2
Suppose 5*z + 24 = 9*z. Let o be ((-20)/z)/((-32)/48). Solve -o*l**2 - 204 - l**4 - 2*l + 204 - 4*l**3 = 0.
-2, -1, 0
Let l(x) be the first derivative of 5*x**6/6 + 1883*x**5/20 + 5315*x**4/2 - 21503*x**3/3 - 2256*x**2 + 2304*x + 1830. Solve l(z) = 0 for z.
-48, -2/5, 1/4, 2
Let z = -6 + 9. Suppose 3*g + h - 26 = 0, g - 14*h = -18*h + 27. Solve 0*i**2 - 2*i**3 + 5*i**2 + 17*i - g*i - 3*i**z = 0.
-1, 0, 2
Factor -12*q**4 + 1000*q**2 + 33*q**4 - 1010*q + 479*q**3 - 814 + 531*q**3 - 191 - 16*q**4.
5*(q - 1)*(q + 1)**2*(q + 201)
Let g = 199 - 203. Let w be (g/28)/(39/(-52)). Suppose 0 + w*r - 2/21*r**4 + 0*r**3 + 2/7*r**2 = 0. Calculate r.
-1, 0, 2
Let s(n) = 4*n**3 - 22*n**2 - 571*n + 3354. Let h be s(6). Let i be 2/(-3) - (-48)/45. Determine b so that h*b**2 - i*b**3 + 2/5*b + 0 = 0.
-1, 0, 1
Let t be ((-8)/(-24))/((5/(-72))/((-1115)/446)). Factor -t*w**2 + 2/3*w**3 + 64*w - 256/3.
2*(w - 8)**2*(w - 2)/3
Suppose -7*t + 70 = 28. Let s be (-13)/(-5) + 9/(135/t). Solve -2/3*k**4 - 29/3*k**2 + 5*k**s + 7*k - 5/3 = 0 for k.
1/2, 1, 5
Let g(m) be the second derivative of -8/45*m**3 - 90*m - 3/5*m**2 + 0 + 4/75*m**5 + 1/9*m**4 - 1/225*m**6. Find x, given that g(x) = 0.
-1, 1, 9
Let t = -4229 + 4229. Let q be (72/(-270))/(4/(-6)). Let -6/5*l**3 - 2/5*l**2 + t + q*l**4 + 6/5*l = 0. Calculate l.
-1, 0, 1, 3
Let l(m) be the second derivative of 2*m**6/15 + 191*m**5/5 + 3965*m**4 + 447850*m**3/3 - 2197000*m**2 - 52*m + 1. Factor l(o).
4*(o - 4)*(o + 65)**3
Let q(i) be the third derivative of -3*i**6/160 - i**5/40 + 3*i**4/32 + i**3/4 + 645*i**2. What is g in q(g) = 0?
-1, -2/3, 1
Factor -504*k + 103*k**2 - 72*k**3 + 270*k**2 - 4*k**2 + 4*k**4 + 11*k**2.
4*k*(k - 9)*(k - 7)*(k - 2)
Let m(c) = -c**3 + c**2 + 12*c + 4. Let y be m(-5). Suppose 7*j - 235 = y. Let r - 6*r - 24*r**2 + 3*r - j*r**3 - 25*r**3 = 0. Calculate r.
-1/6, 0
Let x(f) be the second derivative of 2*f**7/7 + 10*f**6/3 + 61*f**5/5 + 59*f**4/3 + 40*f**3/3 - 105*f + 1. Solve x(s) = 0.
-5, -4/3, -1, 0
Suppose 0 = 12*m - 9*m - 12. Let z(c) be the first derivative of c**m + 4/3*c**3 - 2*c**2 - 4*c - 13. Find u such that z(u) = 0.
-1, 1
Let u(s) be the first derivative of s**5/30 - 13*s**4/24 - 34*s**3/9 + 2330. Factor u(n).
n**2*(n - 17)*(n + 4)/6
Let 1858*m + 475287 + 225*m**2 + 1052*m + 230388 - 222*m**2 = 0. Calculate m.
-485
Let y(f) be the third derivative of -5*f**8/336 - 2*f**7/3 - 13*f**6/12 + 7*f**5/3 + 45*f**4/8 + 2*f**2 + 419*f. What is b in y(b) = 0?
-27, -1, 0, 1
Solve 789 - 9852*l - 3495*l**2 + 3084*l - 220*l**3 - 7396*l + 811 + 484*l = 0 for l.
-8, 5/44
Let q(m) be the first derivative of -m**4/2 - 66*m**3 - 2760*m**2 - 29624*m + 817. Factor q(y).
-2*(y + 7)*(y + 46)**2
Let f be (13 - 4)/(-1) - -13. Let g(u) be the second derivative of 0 - u + 8/15*u**3 - 16/5*u**2 - 1/30*u**f. Factor g(z).
-2*(z - 4)**2/5
Let x be (-1)/((-7)/234) + 32/(-8). Let s = x + -611/21. Determine y, given that 2/3*y + 1/3 + s*y**2 = 0.
-1
Let r = 1729409/7 - 247058. Suppose r*i - 2/7 - 1/7*i**2 = 0. What is i?
1, 2
Let a = 132 + -138. Let h be (0 + a/(-4))/(2/16). Determine v, given that 15*v**2 + 13*v**2 - h*v + 19*v**2 - 46*v**2 = 0.
0, 12
Suppose -25*h + 900 + 5152 = 153*h. Let k(b) be the second derivative of h*b - 3/4*b**3 - 1/40*b**5 + b**2 + 0 + 1/4*b**4. Suppose k(f) = 0. Calculate f.
1, 4
Let k(u) be the first derivative of u**6/2 + 189*u**5/5 + 342*u**4 + 880*u**3 - 1132. Let k(t) = 0. What is t?
-55, -4, 0
Let h(k) be the first derivative of -k**5/40 + k**4/4 - 11*k**3/12 + 3*k**2/2 + 75*k + 89. Let o(r) be the first derivative of h(r). Factor o(f).
-(f - 3)*(f - 2)*(f - 1)/2
Let g(u) be the first derivative of 11/6*u**4 + 13*u - 10 + 0*u**2 + 2/3*u**3. Let v(f) be the first derivative of g(f). Solve v(d) = 0.
-2/11, 0
Suppose -9*v = -0*v + 36*v. Let w(m) be the third derivative of 0*m**3 + v*m**4 + 1/40*m**5 - 16*m**2 + 0 + 0*m. Factor w(y).
3*y**2/2
Let i(o) be the second derivative of -5/18*o**4 - 25 + 0*o**2 - 1/30*o**5 + 1/45*o**6 + 2*o - 1/3*o**3. Factor i(l).
2*l*(l - 3)*(l + 1)**2/3
Let l(j) be the first derivative of 2*j**6/15 - 9436*j**5/25 + 1484597*j**4/4 - 649922178*j**3/5 + 972102006*j**2/5 - 485587656*j/5 + 3632. Factor l(g).
(g - 786)**3*(2*g - 1)**2/5
Suppose 5*k + 4*n - 2 = 0, -21 = -5*k + 4*n - 3. Let j be ((-4)/(-7)*91/(-650))/((-1)/10). Find o such that -4/5*o**4 + 8/5 - 12/5*o**3 + 12/5*o - j*o**k = 0.
-2, -1, 1
Suppose 4*d + 1612 = 4*c, 3*d - c + 1389 - 182 = 0. Let o = d - -2816/7. Factor o*i**4 - 2/7*i**2 + 0*i - 2/7*i**3 + 0 + 2/7*i**5.
2*i**2*(i - 1)*(i + 1)**2/7
Factor 51*j + 3*j**2 + 67 + 111*j + 4*j + 227 + 131*j.
3*(j + 1)*(j + 98)
Let z be (-4)/(-30)*12720/2756. Factor -2/13*w - 8/13*w**2 + 0 - z*w**4 - 2/13*w**5 - 12/13*w**3.
-2*w*(w + 1)**4/13
Let -752/3*g + 3758/15 + 2/15*g**2 = 0. What is g?
1, 1879
Let c(o) be the first derivative of 0*o**4 + 0*o**3 + 0*o - 7*o**2 - 24 - 7/60*o**6 + 1/15*o**5. Let g(n) be the second derivative of c(n). Factor g(x).
-2*x**2*(7*x - 2)
Factor 2737*w**2 - 1560*w + 668/3 - 49/3*w**3.
-(w - 167)*(7*w - 2)**2/3
Let h(d) = -d**2 - 17*d - 18. Let s be h(-18). Let g = 49 + s. What is z in -5 - 9*z - 16*z**2 + 5 + g*z**2 = 0?
-3, 0
Let m(y) be the third derivative of y**7/630 - 13*y**6/45 + 1187*y**5/90 + 715*y**4/3 + 3025*y**3/2 + 1591*y**2. Let m(k) = 0. Calculate k.
-3, 55
Let y(z) be the third derivative of 0*z - 3721/30*z**3 + 10 - 61/60*z**4 + z**2 - 1/300*z**5. Determine u, given that y(u) = 0.
-61
Let g be 63646/139986 - (-4)/14. Let d = g + 15/101. Solve d + 2/9*o**2 + 10/9*o = 0 for o.
-4, -1
Let l be ((-40)/(-84))/((-173)/(-1211)). Determine d so that -10/3*d**3 + 8/3*d - 8/3 - 2/3*d**4 + 2/3*d**5 + l*d**2 = 0.
-2, -1, 1, 2
Factor 146 - 4*z + z**2 - 468 + 137 + 140 + 0*z**2.
(z - 9)*(z + 5)
Find r, given that 27/5 - 21/5*r**4 - 6/5*r**2 + 3/5*r**5 - 9*r + 42/5*r**3 = 0.
-1, 1, 3
Let l(v) = 6*v**2 + 2*v - 2. Let b(s) = -115*s**2 + 165*s + 2040. Let d(w) = b(w) + 20*l(w). Solve d(j) = 0 for j.
-25, -16
Let c = 1327/20 + -328/5. Let x(b) be the first derivative of 3/8*b**5 + 1/8*b**3 - 3/8*b**2 + 0*b - 14 + c*b**4. Factor x(p).
3*p*(p + 1)**2*(5*p - 2)/8
Let b(f) = -10*f**4 - 53*f**3 - 379*f**2 - 810*f - 662. Let j(n) = -3*n**4 - 18*n**3 - 125*n**2 - 