j**4 - 45*j**3 + 51*j**3 + 2*j**4 + 3*j**i = 0.
-3, 0
Let l be (18/(-12))/3*-8. Determine d, given that 245*d**l - 248*d**4 + 6*d**2 - 3*d**2 = 0.
-1, 0, 1
Let o be (-1 + 20)*(33 + -32). Suppose 2*y - o = -3*c, y + 11*c + 13 = 14*c. Solve 0 + 1/2*f**5 - 2*f + 3/2*f**3 + 2*f**4 - 2*f**y = 0.
-2, -1, 0, 1
Let i(m) be the second derivative of m**5/20 - 14*m**4/3 - 301*m**3/6 - 122*m**2 - 2708*m. Find b, given that i(b) = 0.
-4, -1, 61
Let y be 4*2/(-2) - (-13 + 9). Let p be 9114/2940 + 5/(-2). Factor -12/5 + p*l**2 + y*l.
3*(l - 2)*(l + 2)/5
Let m(t) = -19*t**4 + 32*t**3 + 111*t**2 - 2*t. Let r(s) = 47*s**4 - 63*s**3 - 222*s**2 + 5*s. Let a(g) = -5*m(g) - 2*r(g). Factor a(j).
j**2*(j - 37)*(j + 3)
Let d(m) be the third derivative of 0*m**5 + 0 + 0*m**3 - 1/315*m**7 - 1/1008*m**8 - 1/360*m**6 - m**2 + 0*m**4 - 11*m. Factor d(k).
-k**3*(k + 1)**2/3
Let w(x) be the second derivative of -x**5/80 - 443*x**4/48 - 2035*x**3 + 12321*x**2/2 - 130*x - 10. Suppose w(i) = 0. Calculate i.
-222, 1
Let p be 6/(-4)*(3 + -4 + -1). Determine w, given that -p*w + 6*w**4 + w**5 + 2*w**5 + 11*w**3 - 6*w**2 - 11*w**3 = 0.
-1, 0, 1
Let q(i) = -115*i**3 + 83*i**2 + 34*i - 2. Let c(m) = -82*m**2 - 13 - 22*m + 8 - 13*m + 6 + 116*m**3. Let b(f) = 6*c(f) + 5*q(f). Suppose b(v) = 0. What is v?
-2/11, 1
Find v such that 2315*v + 318*v**2 + 154058 - 155108 - 35*v**3 + 12*v**2 = 0.
-5, 3/7, 14
Suppose -4*p + 2*w - 3*w + 448 = 0, -2*w = 5*p - 560. Suppose p = 40*o - 26*o. Factor -2/3*b**3 + 16/3 + 4*b**2 - o*b.
-2*(b - 2)**3/3
Let s be 16/(-2)*(-116)/(-4). Let r = 237 + s. Let -2/21*d**3 + 0*d**2 + 0 - 6/7*d**r + 4/7*d**4 + 0*d = 0. What is d?
0, 1/3
Let q be 84 - (-7)/((-56)/40). Factor 6*w**2 + 200*w - 140*w**3 + q*w**2 + 15*w**4 + 5*w**4 - 11 + 71.
5*(w - 6)*(w - 2)*(2*w + 1)**2
Let l be 244/(-36) + ((-16)/18)/4. Let g be ((-1)/(-1) - 21/l) + -2. Let -2/5*p**3 - g*p**2 - 6/5 - 14/5*p = 0. Calculate p.
-3, -1
Let o(g) be the second derivative of -g**7/147 - 3*g**6/35 - 27*g**5/70 - 31*g**4/42 - 4*g**3/7 - 4217*g. Let o(h) = 0. Calculate h.
-4, -3, -1, 0
Let w(p) be the third derivative of 0 - p**3 + 2/9*p**4 + 1/90*p**5 - 18*p**2 - p. Factor w(z).
2*(z - 1)*(z + 9)/3
Let k(c) be the first derivative of -216 + 891/2*c**2 + 81*c + 1224*c**3 + 4608/5*c**5 + 1680*c**4. Factor k(h).
3*(3*h + 1)*(8*h + 3)**3
Let t(d) = d**3 + 7*d**2 + 303*d + 2490. Let f be t(-8). What is k in -1/3*k**3 + 0 + 2/3*k**f + 0*k = 0?
0, 2
Suppose 3*d - 12 = -66. Let m be 27/d + (-5)/((-280)/148). Factor -2/7 - 8/7*i**2 + m*i.
-2*(2*i - 1)**2/7
Let i(d) be the first derivative of -d**6/120 + 17*d**5/20 + 35*d**4/8 - 46*d**3/3 - 236. Let f(q) be the third derivative of i(q). Factor f(o).
-3*(o - 35)*(o + 1)
Suppose 5/4*h**4 + 0 + 0*h + 1/8*h**5 - 8*h**2 + h**3 = 0. Calculate h.
-8, -4, 0, 2
Let l(b) be the first derivative of 7*b**3/12 - 881*b**2/8 - 63*b/2 - 2884. Suppose l(t) = 0. What is t?
-1/7, 126
Determine j so that 43452/5*j**2 - 5103/5*j - 867/5*j**3 + 30 = 0.
1/17, 50
Let v = 145329 - 145326. Suppose 3/4*r**5 - 15/2*r**4 + 15*r**2 - 60*r + 75/4*r**v - 48 = 0. What is r?
-1, 4
Let g(p) = -46*p**3 - 2*p**2 + 1. Let r be g(-1). Let q be -2 + (-5 - (-387)/r). Solve 8/5*x**2 - 16/5*x**3 + 0*x**4 - q + 12/5*x + 4/5*x**5 = 0.
-2, -1, 1
Suppose -4*n + 10 = 2*c + 40, -2*n = 4*c + 36. Let f be (1/c - 32736/(-5712)) + -5. Factor -f*b - 2/17*b**2 - 12/17.
-2*(b + 2)*(b + 3)/17
Let r(f) be the second derivative of 1/6*f**3 + 0*f**4 + 1/120*f**6 + 0 + 0*f**2 + 12*f + 1/20*f**5. Let m(c) be the second derivative of r(c). Factor m(t).
3*t*(t + 2)
Let d(k) = -2*k - 3*k**2 - 3*k**3 + k + k**3 + k**2. Let w(a) = -17*a**3 - 20*a**2 - a + 10. Let x(h) = -40*d(h) + 5*w(h). Factor x(u).
-5*(u - 2)*(u + 1)*(u + 5)
Let f be (0 + 5)*(-16)/(-10). Let w(l) = -2*l + 273. Let o be w(81). Let -9*q**2 + o*q**2 + 126*q**4 - 161*q**3 - f - 83*q**3 + 24*q = 0. What is q?
-2/7, 2/9, 1
Let d(k) be the third derivative of 0 - 8/3*k**3 - 1/70*k**7 + 1/336*k**8 - 78*k**2 + 0*k + 0*k**4 - 1/30*k**6 + 4/15*k**5. Factor d(q).
(q - 2)**3*(q + 1)*(q + 2)
Let d(c) be the third derivative of -1/60*c**5 - 41*c**2 + 0*c + 0 + 7/2*c**4 - 294*c**3. Factor d(w).
-(w - 42)**2
Find w such that -91/3*w + 0 - 1/3*w**2 = 0.
-91, 0
Determine o so that -59*o**2 + 987*o + 218*o**2 - 54*o**2 - 50*o**2 - 58*o**2 + 990 = 0.
-1, 330
Let w(j) be the second derivative of -j**6/45 - 17*j**5/30 - 11*j**4/2 - 27*j**3 - 72*j**2 + 439*j - 2. Determine u so that w(u) = 0.
-8, -3
Let a(u) = -311*u + 48208. Let r be a(155). Factor 0 - 1/8*x**r + x**2 + 3/2*x - 1/8*x**4.
-x*(x - 3)*(x + 2)**2/8
Let q = 10 - 2. Let v(o) = o**2 - 20*o + 87. Let j be v(6). Find l such that 13*l**j - 29*l**3 - 7*l**2 + q*l**3 - 9*l**2 - l**4 = 0.
-4, 0
Let t(y) = 17*y**3 + 9622*y**2 + 6*y + 3396. Let i be t(-566). Let -72/7*h**2 - 64/7*h + i - 6/7*h**3 + 2/7*h**4 = 0. What is h?
-4, -1, 0, 8
Let h(s) be the third derivative of 0 + 142*s**2 + 2/45*s**5 + 1/36*s**4 + 1/180*s**6 + 0*s - 2/3*s**3. Factor h(g).
2*(g - 1)*(g + 2)*(g + 3)/3
Let n = -20 - -23. Factor -40*g**4 - 12 - 27*g**2 - g - 31*g + 44*g**4 + n*g**2.
4*(g - 3)*(g + 1)**3
Let a(s) be the second derivative of s**7/168 + 19*s**6/8 + 20163*s**5/80 - 20449*s**4/48 - 195*s - 11. Let a(j) = 0. What is j?
-143, 0, 1
Let s be 67/17 + (24/(-8) + -3)/(-102). Let 0 + 3/4*b - 3/8*b**2 + 3/8*b**s - 3/4*b**3 = 0. What is b?
-1, 0, 1, 2
Let m(o) be the third derivative of 1/2*o**3 - 7/240*o**6 - 15*o**2 + 0*o - 17/48*o**4 + 1/420*o**7 + 17/120*o**5 - 4. Factor m(u).
(u - 3)*(u - 2)*(u - 1)**2/2
Let u = 68 - 71. Let i(m) = -2*m**2 - 6*m + 3. Let x be i(u). Determine j, given that -14*j - 12*j**2 - 2*j**5 - 18*j**x - j**5 + 11*j - 12*j**4 = 0.
-1, 0
Let v(k) be the first derivative of 5*k**6/6 + 63*k**5 + 1030*k**4 - 26200*k**3/3 + 22440*k**2 - 23120*k - 2599. Find s such that v(s) = 0.
-34, 1, 2
Let q = -262416 - -262416. Let 0 + 2/3*v**5 + q*v**2 - 2/3*v**4 + 0*v - 4/3*v**3 = 0. Calculate v.
-1, 0, 2
Suppose 232 = -9*h + 8*h. Let a = 236 + h. Factor 4/5*u**2 + 2/5*u**5 + 2*u**3 + 0*u + 8/5*u**a + 0.
2*u**2*(u + 1)**2*(u + 2)/5
Let x(j) = -j**2 - 16*j - 14. Let k be x(-17). Let l = k - -33. Factor -d + l*d**2 + 4*d - 5*d + 4*d.
2*d*(d + 1)
Let h(i) be the third derivative of -5/9*i**3 + 1/45*i**5 + 32*i**2 - 1/4*i**4 + 0*i + 0. Factor h(d).
2*(d - 5)*(2*d + 1)/3
Let h(l) = 2350*l + 70502. Let t be h(-30). Determine q, given that 1/3*q**t - 11/3*q + 10/3 = 0.
1, 10
Suppose -75/4*m**3 - 1053/4*m + 495/4*m**2 + 729/4 = 0. What is m?
9/5, 3
Let g be (0 + (-4)/42)*12 - (-86 - 84100/(-1015)). Factor 11/4*y**3 - 3/2 - 23/2*y**g + 41/4*y.
(y - 3)*(y - 1)*(11*y - 2)/4
Suppose -10*i - 150 = -190. Suppose -m - 4 = 4*k, 4*k = 5*m - 0*m + 20. Solve 2/19*u + k + 6/19*u**2 + 6/19*u**3 + 2/19*u**i = 0.
-1, 0
Let j(o) = 34*o**2 - 35*o + 9. Let u(w) = w**2 - 12*w - 3. Let s be u(12). Let a(x) = -33*x**2 + 35*x - 8. Let l(y) = s*j(y) - 4*a(y). Solve l(g) = 0.
1/6, 1
Let i(n) be the second derivative of 0*n**2 + 0*n**3 + 0*n**4 - 1/150*n**6 - 177*n + 0 + 9/100*n**5. Suppose i(y) = 0. What is y?
0, 9
Let z(u) = -56*u - 29. Let a be z(-4). Let q = a - 553/3. Suppose 4/3*k**2 - q*k + 64/3 = 0. Calculate k.
4
Let u(v) be the third derivative of v**6/40 - 8*v**5/5 + 29*v**4/2 - 56*v**3 - 3071*v**2. Factor u(d).
3*(d - 28)*(d - 2)**2
Let t(y) be the third derivative of y**5/90 - 377*y**4/18 + 142129*y**3/9 + 667*y**2. Factor t(w).
2*(w - 377)**2/3
Suppose -3*x + 102 - 96 = 0. Factor -1477 - 83*h - 2*h**x + 256 - 237 - 25*h.
-2*(h + 27)**2
Let p(d) = -404*d**3 - 398*d**2 - 3*d - 9. Let f(t) = 101*t**3 + 100*t**2 + t + 2. Let a(v) = -9*f(v) - 2*p(v). Factor a(x).
-x*(x + 1)*(101*x + 3)
Let c = -49/130 + -817/26. Let z = 497/15 + c. Solve -8/9*r**3 + 2/9*r**4 - 8/9*r + 2/9 + z*r**2 = 0 for r.
1
Let h(i) = -2*i + 31. Let f be h(0). Let z = 36 - f. Suppose m**3 + 32*m + 41*m + m**2 + z*m**2 - 68*m = 0. What is m?
-5, -1, 0
Solve -512898 + 4*s**2 - 5*s**2 + 81*s + 513150 = 0 for s.
-3, 84
Let a = -231039/20 + 11552. Let d(m) be the second derivative of a*m**6 + 3/20*m**5 + 0*m**3 + 0*m**4 + 0 + 0*m**2 - 21*m. Factor d(f).
3*f**3*(f + 2)/2
Let j(l) be the third derivative of -l**8/1680 - 4*l**7/175 - 41*l**6/150 - 109*l**5/150 + 11*l**4/8 + 121*l**3/15 + 852*l**2. Find s 