0*m**4 - 1664640*m**3 - 1358346240*m**2 - 3*m + 736. Find b such that w(b) = 0.
-816
Factor 91742 - 36*x - 91782 + 6*x**2 - 2*x**2.
4*(x - 10)*(x + 1)
Let m be -5*(104/(-20) - -4) + 29/(-5). Let l(y) be the second derivative of -2/3*y**4 + 2/3*y**3 - 13*y + 4*y**2 - m*y**5 + 0. Suppose l(d) = 0. Calculate d.
-2, -1, 1
Let m(q) = -12*q**2 - 103*q + 240. Let n(j) = -13*j**2 - 98*j + 240. Let l(f) = 6*m(f) - 5*n(f). Factor l(p).
-(p + 20)*(7*p - 12)
Let s = -1762 - -15866/9. Let q(p) be the first derivative of -7/12*p**4 + 1/3*p + 1/5*p**5 - 1/36*p**6 + s*p**3 - 3/4*p**2 - 20. Let q(f) = 0. Calculate f.
1, 2
Find j such that -438*j + 160 - 27*j**2 + 22*j**2 + 458*j = 0.
-4, 8
Suppose -23*p + 25*p + 54 = 0. Let i be (1/(-6))/(3/p). Factor -7/2*r**3 + 1 - i*r - 6*r**2.
-(r + 1)**2*(7*r - 2)/2
Let -26*c + 216 + 22*c - 796 - 14*c**3 + 145*c**2 + 15*c**3 = 0. What is c?
-145, -2, 2
Let y(z) = 6 - 18*z**2 - 4 + 0 + 29*z**2 - 10*z**2. Let m(t) = 145*t - 10. Let q(i) = -m(i) - 5*y(i). Let q(g) = 0. Calculate g.
-29, 0
Let z(t) be the third derivative of -t**8/1176 - 2*t**7/245 - t**6/42 + 11*t**4/84 + 2*t**3/7 + 1719*t**2. Solve z(g) = 0 for g.
-3, -2, -1, 1
Let y = -6 + 8. Let i(v) = 14*v**3 + 2*v**2 - 10*v. Let t(l) = -57*l**3 - 7*l**2 + 39*l - 2. Let n(r) = y*t(r) + 9*i(r). Factor n(j).
4*(j - 1)*(j + 1)*(3*j + 1)
Factor 492 - 3*r**3 - 5595*r**2 - 5501*r**2 + 11333*r**2 + 732*r.
-3*(r - 82)*(r + 1)*(r + 2)
Suppose 0 = -5*w - b + 115, 0 = -4*b + 5*b - 5. Let h be (2/(-12) - -1) + w/60. Determine g, given that h - 21/5*g - 27/5*g**2 = 0.
-1, 2/9
Let v(q) = -q**2 + 36*q - 40. Let p(h) = h**2 - 36*h + 41. Let r(y) = 5*p(y) + 6*v(y). Factor r(l).
-(l - 35)*(l - 1)
Suppose 0 = -f - 3*w - 2, -1 = -w - 3. Determine a so that -395*a**3 + 3*a**4 + 200 - 390*a**2 + 620*a - 12*a**f - 26*a**4 = 0.
-10, -2, -2/7, 1
Let z(x) be the third derivative of 2*x**7/105 - x**6/6 - 4*x**5/5 + 38*x**4/3 - 160*x**3/3 - 124*x**2 + 3. Suppose z(w) = 0. Calculate w.
-4, 2, 5
Suppose 4*m = i + 13, 5*i + 5 = -5*m + 2*i. Let u(l) be the first derivative of 5 + l**3 - 4*l**2 - 19 + 3*l**2 - m*l**2 + 3*l. Factor u(f).
3*(f - 1)**2
Suppose -2/5*m**5 + 0 - 12/5*m**4 + 12/5*m**2 + 34/5*m**3 - 32/5*m = 0. What is m?
-8, -1, 0, 1, 2
Let c(u) be the second derivative of -961*u**4/4 - 1798*u**3 - 5046*u**2 + 15*u - 21. Let c(p) = 0. What is p?
-58/31
Let x be (1/3)/((-15)/(-180)). Let v be ((-63)/(-6))/3 - (-2)/x. Factor 9 - 5 + 8*j + 4*j**3 + 12*j**2 + 2*j**v - 2 + 4*j**3.
2*(j + 1)**4
Let u(x) = -10*x**4 - 30*x**3 - 106*x**2 + 302*x + 100. Let g(z) = -2*z**4 + 2*z**3 + z - 1. Let h(c) = 8*g(c) - u(c). Suppose h(f) = 0. Calculate f.
-3, -1/3, 2, 9
Let t(i) be the first derivative of -i**4/6 - 40*i**3/9 - 128*i**2/3 - 512*i/3 + 2478. Factor t(m).
-2*(m + 4)*(m + 8)**2/3
Let q(c) be the second derivative of c**4/7 - 11*c**3/42 - c**2/14 + 642*c. Suppose q(i) = 0. Calculate i.
-1/12, 1
Let o be (246/12 + -5)*10. Solve -83 + d**2 + o + 32*d - 80 - 15*d**2 = 0.
2/7, 2
Let c(u) be the first derivative of u**4/10 + 12*u**3/5 - 35*u**2 + 3083. Factor c(v).
2*v*(v - 7)*(v + 25)/5
Let r = -908841292/831 - -2187343/2. Let w = 1/554 - r. Solve -1/3*c**2 + 0*c - w*c**4 + 0 + 2/3*c**3 = 0.
0, 1
Let n(b) be the first derivative of -b**7/420 + 11*b**5/120 + 3*b**4/8 + 2*b**3/3 - 9*b**2 - 25. Let v(w) be the second derivative of n(w). Factor v(h).
-(h - 4)*(h + 1)**2*(h + 2)/2
Let v(w) = -w**2 + 6*w + 3. Let k be v(6). Determine t so that 11*t**4 + 14*t**4 - 40*t**k + 21*t**2 - 5*t**5 - t**2 + 0*t**5 = 0.
0, 1, 2
Let j(o) be the third derivative of o**7/70 - 3*o**6/8 - 23*o**5/5 - 39*o**4/2 - 40*o**3 + 2087*o**2. Find y, given that j(y) = 0.
-2, -1, 20
Suppose 2563*f - 2565*f = 24, 4*f + 63 = 3*r. Factor -a + 3/2*a**2 + 1/2*a**3 - 3/2*a**4 + 0 + 1/2*a**r.
a*(a - 2)*(a - 1)**2*(a + 1)/2
Let a be 1/(14/(-4)) + 2528/4977. Let y(n) be the first derivative of -a*n**3 - 4/3*n - 33 - n**2. Factor y(w).
-2*(w + 1)*(w + 2)/3
Let l(b) be the second derivative of b**5/150 + 2*b**4/3 + 80*b**3/3 - 71*b**2/2 - 4*b + 7. Let j(m) be the first derivative of l(m). Factor j(f).
2*(f + 20)**2/5
Let o(u) be the first derivative of -8*u**3/3 + 25*u**2/4 + 7*u - 802. Factor o(k).
-(k - 2)*(16*k + 7)/2
Let r(d) be the first derivative of d**3 - 42*d**2 + 288*d - 750. Factor r(i).
3*(i - 24)*(i - 4)
Let m(x) = x**2 - x + 1. Let n(f) = 5*f**2 + 47*f + 54. Let u(p) = -3*p**2 - 39*p + 4. Let o be u(-13). Let r(y) = o*m(y) - n(y). Factor r(j).
-(j + 1)*(j + 50)
Let u(j) be the second derivative of -j**5/20 + 7*j**4/6 - 7*j**3/3 + 13*j**2/2 - 92*j. Let g be u(13). Factor -2/9*y**4 - 2*y**3 - 6*y**2 + g - 6*y.
-2*y*(y + 3)**3/9
Let n = 237721/45 + -43316/9. Let p = -469 + n. Factor 3/5*r - p + 1/5*r**2.
(r - 1)*(r + 4)/5
Let f = -18043 + 6892421/382. Let m = f - -4021/764. Determine h, given that -27/4*h**4 - 1/2 - 45/4*h**3 + m*h**2 + 5/4*h = 0.
-2, -1/3, 1/3
Let c = -16/1813 - -1845/3626. Factor 5/2*d**3 - 1/2*d**2 + 1/2*d**4 - c*d**5 - 4*d - 2.
-(d - 2)**2*(d + 1)**3/2
Suppose j + 360 = 5*z + 381, 3*j - 2*z = 24. Find a such that 9/5*a**3 - j - 99/5*a - 24/5*a**2 = 0.
-2, -1/3, 5
Let j(l) be the first derivative of -l**3/21 - 119*l**2 - 99127*l + 3535. Solve j(r) = 0 for r.
-833
Let s(f) be the first derivative of -4*f**3/15 + 1264*f**2/5 - 3220. Find y, given that s(y) = 0.
0, 632
Factor -1260798*f**3 + 2*f**4 - 64*f**2 + 2*f**4 - f**5 + 1260814*f**3.
-f**2*(f - 4)**2*(f + 4)
Let s(f) = 2*f**3 + 7*f**2 - f - 7. Let z be s(-3). Suppose -5 = z*x - 25. Solve 3*h**3 - 6 - 6*h - 3/2*h**x + 9/2*h**2 = 0 for h.
-1, 2
Let i(z) be the first derivative of z**4/4 + z**3/3 - z**2 + 58. Let a(d) = -9*d**3 - 27*d**2 - 6*d. Let f(s) = a(s) + 6*i(s). Suppose f(h) = 0. What is h?
-6, -1, 0
Suppose 49*q + 6*q = -220. Let j be (2/35)/((q + -1)/(-70)). Solve -2/5 + 1/5*r**3 - j*r**2 + r = 0 for r.
1, 2
Let q(r) be the third derivative of 3*r**7/140 + 5*r**6/144 - 7*r**5/45 + r**4/36 - 226*r**2 + 4*r. Let q(f) = 0. Calculate f.
-2, 0, 2/27, 1
Let h(k) be the third derivative of -k**7/350 - 11*k**6/20 - 2797*k**5/100 + 627*k**4/2 - 6498*k**3/5 - 717*k**2. Factor h(u).
-3*(u - 2)**2*(u + 57)**2/5
Let q be (-16335)/2376*(-1 + (-46)/(-50)). Let x = q + 57/260. Factor 2/13 + x*j + 8/13*j**2.
2*(j + 1)*(4*j + 1)/13
Let q(l) = -5*l**3 - 53*l**2 - 457*l + 473. Let n(f) = 4*f**3 + 52*f**2 + 454*f - 474. Let x(m) = -7*n(m) - 6*q(m). Factor x(u).
2*(u - 30)*(u - 1)*(u + 8)
Let m be (56/(-5) - -23)*(1 - 14*(-2 - -1)). Solve 0*o + 21/2*o**4 + 0 - m*o**2 + 1233/2*o**3 = 0 for o.
-59, 0, 2/7
Let x = 394654 + -394651. Factor -1/4*h**2 - 1/4*h**3 + 2*h + x.
-(h - 3)*(h + 2)**2/4
Factor 248 + 13*w**2 + 6255*w - 15*w**2 - 6201*w.
-2*(w - 31)*(w + 4)
Let a(x) = x**3 + 5*x**2 - 15*x + 8. Let h be a(-7). Factor -5*z**3 + 21*z**2 - 56*z**2 - 15*z + h*z**2.
-5*z*(z + 1)*(z + 3)
Solve 208/3*t**3 + 0*t - 2704/3*t**2 - 4/3*t**4 + 0 = 0 for t.
0, 26
Let p be ((-624)/42)/((-8)/(-28)). Let v be (-8)/p + (-371)/(-546). Factor -5/3 - v*s**2 + 5/2*s.
-5*(s - 2)*(s - 1)/6
Let g(i) = -i**3 - 1. Let h(w) = -4*w**3 - 14*w**2 + 12*w - 6. Suppose -8*p + 3 = 51. Let c(q) = p*g(q) + h(q). Factor c(v).
2*v*(v - 6)*(v - 1)
Suppose -20*k + 60 = -5*k. Suppose 4*x - 20 = 4*m, -k*m - 2 = 3*x + 4. Suppose -4/3*o + 2 + 2/9*o**x = 0. Calculate o.
3
Suppose 246 = 5*n - 3*y + 255, 2*y = -5*n + 31. Let d = 1/283 - -845/1132. Factor 0 - d*p**n + 1/4*p**4 + 3/4*p**2 - 1/4*p.
p*(p - 1)**3/4
Let g = 251 - 250. Let a be -48 - -47 - (-2 + g). Solve a - 1/4*j**2 + 1/2*j = 0 for j.
0, 2
Let x(t) be the third derivative of -1/210*t**5 - 7*t**2 + 0 + 0*t**3 + 1/21*t**4 + 0*t. Factor x(u).
-2*u*(u - 4)/7
Suppose -58 = -6*y + 38. Suppose -b = 5*j - y, 2*j - 1 = b + 4. Factor -3*i**5 + 0*i + 430*i**j - 3*i - 424*i**3.
-3*i*(i - 1)**2*(i + 1)**2
Suppose 0 = 6*r + 13*r - 38. Factor 9*x**r - 292 - 33*x**2 + 262 - 3*x**3 + 57*x.
-3*(x - 1)**2*(x + 10)
Let f(k) = 8*k**2 + 2186*k - 2206. Let l(u) = -25*u**2 - 6555*u + 6620. Let r(w) = 10*f(w) + 3*l(w). Factor r(j).
5*(j - 1)*(j + 440)
Let o(q) = -q**4 - q**2 + 3*q - 1. Let u(f) = -7*f**4 + 6*f**3 - 17*f**2 + 10*f - 8. Let c(k) = 24*o(k) - 3*u(k). Find b, given that c(b) = 0.
-7, -1, 0, 2
Let v(u) be the second derivative of -u**6/120 + 3*u**5/80 + 11*u**4/24 - u**3 - 2