*f**2 + f - 24. Factor s(w).
-(w + 532)**2/4
Determine s so that 1/7*s**4 + 255840/7*s - 410/7*s**3 + 40777/7*s**2 + 389376/7 = 0.
-3, 208
Let m = 422 + -426. Let n(h) = -32*h**2 - 72*h - 32. Let p(b) = -b**3 + 32*b**2 + 73*b + 34. Let g(v) = m*p(v) - 3*n(v). What is q in g(q) = 0?
-1, 10
Let y = 72365 + -72365. Solve -8/7*s + y + 4/7*s**2 = 0 for s.
0, 2
Let m(r) = 13*r**3 - 1820*r**2 - 3619*r - 1811. Let l(c) = 20*c**3 - 2732*c**2 - 5428*c - 2716. Let x(f) = -5*l(f) + 8*m(f). Factor x(k).
4*(k - 227)*(k + 1)**2
Let v(l) = -27*l**2 + l - 11. Let g(i) = -8*i**2 - 4. Let o(y) = 7*g(y) - 2*v(y). Let x(n) = n - 2. Let r(k) = -2*o(k) + 4*x(k). Factor r(b).
4*(b + 1)**2
Let j be (7/(-4) - 2)/(63/(-21504)). Solve -81*s**4 + 80*s**3 - 81*s**4 + 157*s**4 + 1280*s - j - 480*s**2 = 0.
4
Let h(s) be the second derivative of -s**4/108 + 1396*s**3/27 - 974408*s**2/9 + 2902*s. Factor h(p).
-(p - 1396)**2/9
Let n(k) be the first derivative of k**6/36 + 2*k**5/15 + k**4/24 - k**3/3 - 709. Determine f, given that n(f) = 0.
-3, -2, 0, 1
Let -180*m**2 + 1698 - 1536*m + 2798*m + 2113*m + 3*m**3 - 20448 = 0. What is m?
10, 25
Let 305*x + 1 + 5*x**4 - 95*x - 1 - 60*x**3 + 148846*x**2 - 148701*x**2 = 0. Calculate x.
-1, 0, 6, 7
Suppose 24 = -2*t + 72. Let i(q) = -72*q - 214. Let f be i(-3). Determine u, given that 0*u**2 + 14 + u**2 - f - 12*u + t = 0.
6
Let m(l) be the third derivative of 2 - 28*l**4 + 0*l - 5/3*l**5 - 96*l**3 - l**2 - 1/30*l**6. Solve m(k) = 0.
-12, -1
Factor 1546 + 1080*p**2 + 68 - 47*p**3 - 3520*p + 946 - 78*p**3 + 5*p**4.
5*(p - 8)**3*(p - 1)
Let g(a) = 24*a**4 + 2*a**3 - 36*a**2 + 64*a + 144. Let f(z) = -z**4 - z**3 - z**2 + 2*z. Let i(p) = -44*f(p) - 2*g(p). Solve i(l) = 0.
-3, -1, 2, 12
Let g(w) be the first derivative of -w**3/12 - 609*w**2/8 + 611*w/2 + 5656. Factor g(b).
-(b - 2)*(b + 611)/4
Let k be (-146)/(-16) + 34 + (-550)/16. Factor 0 + 11/4*p**3 + 1/4*p**4 + k*p**2 + 25/4*p.
p*(p + 1)*(p + 5)**2/4
Solve -9/7*m**5 + 8208252/7*m**2 + 2539200/7 - 10145760/7*m - 8241/7*m**4 - 1868568/7*m**3 = 0 for m.
-460, 1/3, 2
Let s(i) be the first derivative of -5*i**3/3 - 425*i**2/2 + 870*i - 635. Find t, given that s(t) = 0.
-87, 2
Let g = -331 + 337. Determine u, given that -14*u**3 - 2*u**2 - 3*u**4 - g*u**5 + 14*u**5 + 5*u**4 + 6*u**5 + 0*u**5 = 0.
-1, -1/7, 0, 1
Let x = 235601 + -1649111/7. Determine p, given that x*p**2 - 512/7 - 40/7*p**3 + 4/7*p**4 + 128/7*p = 0.
-2, 4
Let m = -562 - -554. Let c be ((-112)/(-5))/m - -4. Factor -8/5*b - c - 2/5*b**2.
-2*(b + 1)*(b + 3)/5
Let z(h) be the first derivative of -h**3/24 + 535*h**2/16 + 67*h - 1278. Factor z(u).
-(u - 536)*(u + 1)/8
Let m(f) be the second derivative of -f**5/5 + 56*f**4/3 + 834*f**3 + 11988*f**2 - f - 6842. Find j such that m(j) = 0.
-9, 74
Let h = -2889751/6 + 481626. Find c, given that 19/6*c**4 + 5/6*c**2 + 0 + h*c**5 - 1/3*c + 7/2*c**3 = 0.
-2, -1, 0, 1/5
Let l be 34/340*-50*(-1 - 3/(-5)). Let i(f) be the third derivative of 0*f + 3/20*f**5 + 0 - 1/120*f**6 + 9*f**l - f**4 + 8/3*f**3. Factor i(o).
-(o - 4)**2*(o - 1)
Solve 60/7*k**2 + 0 + 2/7*k**3 - 62/7*k = 0 for k.
-31, 0, 1
Let 147*w + 15*w + 120 - 39*w + 3*w**3 - 2*w**3 + 35*w**2 + 31*w = 0. Calculate w.
-30, -4, -1
Let k be (-110)/(-33)*54/540. Factor -13/3*u + k*u**2 + 22/3.
(u - 11)*(u - 2)/3
Let u = 798615 + -798603. Solve -19/2*s + 1/2*s**3 + 3*s**2 - u = 0.
-8, -1, 3
Suppose 0*c = 2*z + c - 7, 2*c = z + 4. Suppose -152 = -4*y - 0*y + 3*x, y = z*x + 43. Factor -47*d**4 - 16*d**3 - 14*d**2 + 10*d**2 + y*d**4.
-4*d**2*(d + 1)*(3*d + 1)
Factor 58*k**4 - 470*k**4 + 414*k**4 + 117612 + 95634*k + 17634*k**2 - 386*k**3.
2*(k - 99)**2*(k + 2)*(k + 3)
Let h(n) be the third derivative of 1/70*n**7 + 21/2*n**4 + 0*n + 0 + 5/2*n**5 + 81*n**2 + 3/10*n**6 + 45/2*n**3. Factor h(v).
3*(v + 1)*(v + 3)**2*(v + 5)
Let x(n) be the first derivative of -9*n**5/4 - 13*n**4/4 + n**3 - 90*n + 83. Let r(m) be the first derivative of x(m). Suppose r(i) = 0. Calculate i.
-1, 0, 2/15
Let o be 12/(-16) - (143/4)/(-13). Let z be 1989/510 + (o - 6/4). Let -16/3*v + 32/15 - 4/3*v**3 + 2/15*v**4 + z*v**2 = 0. What is v?
1, 4
Let f = 559369 + -2796844/5. Determine s, given that -f*s**3 + 0 - 4/5*s - 4/5*s**2 = 0.
-2, 0
Let m(c) = 35*c + 448. Let r be m(-12). Suppose -3*j = 5*d - 15, 2*j + 37 - r = 3*d. Solve 38/3*p**4 + j - 8/3*p**2 + 0*p + 14/3*p**5 + 16/3*p**3 = 0 for p.
-2, -1, 0, 2/7
Let n(o) be the third derivative of -13*o**6/30 - 31*o**5/40 + 3*o**4/4 - 59*o**3/6 + 34*o**2. Let b(i) be the first derivative of n(i). Factor b(k).
-3*(4*k + 3)*(13*k - 2)
Let z be 1/((-154)/(-116)) + 2506/(-13783). Factor -16*o**2 + 0 - z*o**3 - 112*o.
-4*o*(o + 14)**2/7
Factor 8 - 20*k**2 + 68*k**2 - 45 + 88*k - 44*k**2 - 1079.
4*(k - 9)*(k + 31)
Let v(w) = w**2 - 2*w - 3. Let u be v(-3). Suppose 36*h - 56 + 31 = 47. Factor 2*o**h + u*o + 14 - 2 + 2*o.
2*(o + 1)*(o + 6)
Let x(v) be the third derivative of -2/15*v**5 + 4/105*v**7 - 1/10*v**6 + 0*v**3 + 17*v**2 + 1/168*v**8 + 0 - v + 5/12*v**4. Factor x(f).
2*f*(f - 1)**2*(f + 1)*(f + 5)
Suppose 31*c - 4*c - 405 = 2*k, 4*k - c = -15. Find d, given that -20/7*d + 2/21*d**2 + k = 0.
0, 30
Suppose 0 = -11*q + 16*q + 2*o - 2, -5*q = 4*o + 6. Suppose -l**3 + 0*l**q - 339*l + 334*l - 6*l**2 = 0. What is l?
-5, -1, 0
Let a be -9 + -3 - (4672/(-96) - -35). Factor a*c + 1/6*c**4 + 2*c**2 + c**3 + 1/2.
(c + 1)**3*(c + 3)/6
Let h(q) = 144*q - 4608. Let f be h(32). Let i(c) be the second derivative of 1/10*c**5 + 45*c + 1/3*c**4 + 0 + 0*c**2 + f*c**3. What is p in i(p) = 0?
-2, 0
Solve -156*l - 3*l**2 + 90723 + 16*l**2 - 806*l - 12*l**2 + 140638 = 0.
481
Let d(j) = -19 - 4*j + 0*j**2 + 31 + 0*j**2 - 8*j**3. Let z(k) = -k**3 - k + 2. Let u(m) = -d(m) + 6*z(m). Determine b, given that u(b) = 0.
-1, 0, 1
Let q be 2/(0 - (-10)/125). Let u be 3*6/(-5)*q/(-45). Determine p, given that 35 - 30*p**u - 55*p**3 + 32*p + 8*p - 5*p**4 + 15*p**3 = 0.
-7, -1, 1
Factor 1155 - 712*x**3 + 960 - 1745 + 346 + 712*x - 720*x**2 + 4*x**4.
4*(x - 179)*(x - 1)*(x + 1)**2
Let r(b) be the second derivative of -1/90*b**5 - 3*b + 2/27*b**4 + 0*b**3 - 1/270*b**6 + 0*b**2 - 2. Suppose r(t) = 0. What is t?
-4, 0, 2
Let b(k) be the first derivative of -15/2*k**2 - 246 - 16/3*k**3 + 15/4*k**4 + 18*k - 2/5*k**5. Determine d, given that b(d) = 0.
-1, 1, 3/2, 6
Let s(l) be the third derivative of -21/40*l**6 - 3/4*l**4 + 7 + 9/70*l**7 + 0*l - 12*l**2 + 19/20*l**5 - 1/112*l**8 + 0*l**3. Solve s(q) = 0 for q.
0, 1, 6
Let p = 11966278/7 - 1709468. Determine j, given that 10/7*j**2 + 0 + 48/7*j - p*j**3 = 0.
-3, 0, 8
Let y(l) be the first derivative of 105 - 1/2*l**2 + 0*l - 1/15*l**3. Factor y(p).
-p*(p + 5)/5
Let o(k) be the first derivative of -k**3/3 + 6*k**2 - 22*k + 12. Let w be o(9). Let 8*y**2 + w*y**3 + 7 + 18*y**2 - 6*y**2 + 5*y - 37 = 0. What is y?
-3, -2, 1
Let y(f) be the first derivative of -f**5/20 + 27*f**4/16 + 29*f**3/12 - 27*f**2/8 - 7*f - 7050. Factor y(d).
-(d - 28)*(d - 1)*(d + 1)**2/4
Let i be 17 - (24 + 11 + -18). Let n(a) be the third derivative of 0*a - 28*a**2 + 7/60*a**4 + i*a**3 + 1/150*a**5 + 0. Factor n(c).
2*c*(c + 7)/5
Let k = -2780 - -2786. Let z(b) be the second derivative of -7*b + 11/3*b**3 + b**4 + 0 + k*b**2 + 1/10*b**5. Factor z(f).
2*(f + 1)*(f + 2)*(f + 3)
Let r be (-2 + -1)*(-16)/(-24)*-1. Solve 61*v + 63 + 3*v**r - 31*v + 10*v - 10*v = 0.
-7, -3
Let x(k) be the third derivative of -k**8/168 + 4*k**7/21 - 11*k**6/5 + 137*k**5/15 + 133*k**4/12 - 98*k**3 + 1703*k**2. Let x(a) = 0. Calculate a.
-1, 1, 6, 7
Let j(c) be the second derivative of -c**4/78 - 32*c**3/13 + 29*c. Factor j(z).
-2*z*(z + 96)/13
Let b = -2/53653 - -160963/107306. Suppose -b*c**2 - 1/2 - 1/2*c**3 - 3/2*c = 0. What is c?
-1
Let k = 12016 - 12012. Let c(j) be the first derivative of 1/8*j**2 + 7/24*j**3 - 5/32*j**k - 27 - 1/10*j**5 + 0*j. Factor c(x).
-x*(x - 1)*(x + 2)*(4*x + 1)/8
Let b(p) be the second derivative of 24 - 2178*p**2 - 44*p**3 - 4*p - 1/3*p**4. Suppose b(h) = 0. What is h?
-33
Let x = 423 + -420. Let i(o) = -5*o**3 + 52*o**2 - 49*o + 2. Let h(c) = -6*c**3 + 51*c**2 - 48*c + 3. Let m(f) = x*i(f) - 2*h(f). Factor m(y).
-3*y*(y - 17)*(y - 1)
Let s(x) = -x**3 - 44*x**2 + 2. Let f be s(-44). What is t in 107476 - 107476 - 2*t**f = 0?
0
Let o 