2049/7*c**3 + 0.
3*c*(c + 1)*(c + 341)**2/7
Let y(q) = -202*q**3 - q**2 - 4*q - 4. Let b be y(-3). Suppose -52*l**2 + 4*l**3 - b*l + 5453*l = 0. What is l?
0, 13
Let a be 0 + (0*(-8)/72 - -4). Let q = -12/41 + 460/451. Determine m so that -4/11 - 10/11*m - q*m**a + 24/11*m**2 - 2/11*m**3 = 0.
-2, -1/4, 1
Suppose -5*m - 26 = -2*o, o - m - 3*m = 10. Factor 175*a - o + 166*a - 3*a**2 - 356*a.
-3*(a + 2)*(a + 3)
Let p(k) be the first derivative of 4*k**5/15 + 763*k**4/12 - 191*k**3/9 + 6238. Solve p(w) = 0.
-191, 0, 1/4
Let s = 5453/8184 - -1/2728. Factor 14/3*j**3 + 0 + 4/3*j**4 + 0*j + 8/3*j**2 - s*j**5.
-2*j**2*(j - 4)*(j + 1)**2/3
Let k(n) be the second derivative of -n**5/100 - 7*n**4/60 + 2*n**3 + 2*n - 2817. Factor k(f).
-f*(f - 5)*(f + 12)/5
Let j(s) be the second derivative of s**7/1680 - s**5/240 - 38*s**3/3 - 8*s. Let f(b) be the second derivative of j(b). What is a in f(a) = 0?
-1, 0, 1
Let r be ((-290)/150 - -3) + 9*8/216. Factor -2*z + 3/5 + r*z**2.
(z - 1)*(7*z - 3)/5
Let s(m) = -m**2 + 22*m - 117. Let i be s(9). Let g(l) be the first derivative of 4 - 3/2*l**4 - l**3 + 0*l - 3/5*l**5 + i*l**2. Let g(w) = 0. Calculate w.
-1, 0
Suppose 11*t + 5*r = 13*t - 18, t - 12 = 4*r. Factor 36*f + 38*f + 94*f - t*f**2 - 1764.
-4*(f - 21)**2
Let j(t) = 9*t + 308. Let o be j(-42). Let g be (o/(-10) - 3)*(-6)/(-20). Find x such that -2/5*x**2 + g*x**4 + 2*x**3 - 2*x - 4/5 = 0.
-1, -2/3, 1
Let i = 13864 - 13866. Let y(m) = m**2. Let o(q) = 0*q - 3*q**2 + q**3 + 0*q. Let r(u) = i*o(u) + 2*y(u). What is b in r(b) = 0?
0, 4
Let c(u) be the third derivative of -u**5/210 - 361*u**4/28 + 1084*u**3/21 + 6*u**2 - 722*u. Factor c(t).
-2*(t - 1)*(t + 1084)/7
Factor 0*w + 0*w**2 - 5940*w**4 + 0 + 3528360*w**3 + 5/2*w**5.
5*w**3*(w - 1188)**2/2
Let d(p) be the first derivative of 4*p**2 - 4/3*p**3 - 23 - 9*p + 1/10*p**5 - 1/6*p**4. Let a(x) be the first derivative of d(x). Factor a(s).
2*(s - 2)*(s - 1)*(s + 2)
Let c(u) = -u**3 + 10*u**2 - 13*u + 4. Let i be c(8). Suppose h - i = -13*h. Solve 7*d**2 + 239 - 4*d**h + 124 + 66*d = 0 for d.
-11
Solve -69*s**3 - 9533*s**2 + 128*s + 2277*s**3 + 0 + 8373*s**2 - 592*s**4 + 12 - 20*s**4 = 0.
-1/17, 1/3, 3
Let v(b) be the first derivative of b**3/3 - b**2/2 - 7*b - 7. Let w be v(-3). Factor 2*p + 31*p**2 - 2*p**4 - 3*p + p**w - 29*p**2.
p*(p - 1)**3*(p + 1)
Let w(o) be the third derivative of -49/6*o**3 - 3/80*o**5 + 0*o + 7/8*o**4 - 95 - o**2. Factor w(n).
-(3*n - 14)**2/4
Let b be 9357/(-9) - (-7 - (-100)/12). Let w = 1041 + b. What is p in 2/7*p**3 + 4/7*p - 6/7*p**2 + w = 0?
0, 1, 2
Let a = 11824/25 + -473. Let w = 16/25 + a. Determine r, given that 0 + 3/5*r**3 - 6/5*r**2 + w*r = 0.
0, 1
Suppose 0 = 11*r - 13*r + 10. Suppose -5*k - 255 = -4*d, -2*k - 256 - 50 = -r*d. Find b, given that 18*b**2 + 4*b**3 + 15 + 20 + d*b - 7 + 18*b**2 = 0.
-7, -1
Let r(f) = f + 7. Let z be ((-14)/(-6))/((-7)/3 - -2). Let q be r(z). Factor -36 - 4*o**2 + 51*o + q*o**2 - 27*o.
-4*(o - 3)**2
Let x be (79*3)/((-6 - 9)/(-5)). Let h = -68 + x. Factor -14*d**2 + 13*d - 4*d**4 - 2*d**5 - h*d + 18*d**2.
-2*d*(d - 1)*(d + 1)**3
Let y(z) be the second derivative of z**4/48 + 229*z**3/3 + 104882*z**2 - 11*z - 14. Factor y(f).
(f + 916)**2/4
Suppose -3*b - 30*t = -27*t - 120, -5*b + 4*t + 218 = 0. Let u be 56/b*6/4. Determine z, given that -10/19*z + 2/19*z**u + 0 = 0.
0, 5
Suppose -24 = w - 14. Let p be (-9 - -8)*1*8/w. Factor -p*x**4 - 6/5*x**3 + 2/5*x + 0 + 0*x**2.
-2*x*(x + 1)**2*(2*x - 1)/5
Determine t, given that 9/2*t**2 + 3864 - 5799*t = 0.
2/3, 1288
Suppose 2*l + 5*t - 85 = -45, -5*t + 10 = -4*l. Let p(v) be the third derivative of -l*v**2 + 0*v**5 + 1/40*v**6 + 0*v + 0 + v**3 - 3/8*v**4. Factor p(r).
3*(r - 1)**2*(r + 2)
Suppose -289 = -7*x - 261. Let n(p) = p**2. Let u(v) = 3*v**2 + 70*v - 1225. Let w(y) = x*n(y) - u(y). Find s such that w(s) = 0.
35
Let h(g) be the first derivative of g**3/6 - g**2/2 - 24*g - 1470. Factor h(m).
(m - 8)*(m + 6)/2
Let z = -74305 + 74307. Factor 2 - 22/5*m - 2/5*m**3 + 14/5*m**z.
-2*(m - 5)*(m - 1)**2/5
Let a(q) be the first derivative of -q**4 - 2*q**3/9 + 9808. Suppose a(z) = 0. Calculate z.
-1/6, 0
Let n(z) = z**4 - 7*z**3 + 14*z**2 + 6*z - 2. Let o(u) = -5*u**4 + 34*u**3 - 70*u**2 - 33*u + 11. Let f(w) = 44*n(w) + 8*o(w). Factor f(v).
4*v**2*(v - 7)*(v - 2)
Let f(v) = -v**3 - v**2 - v. Let g(o) = -5*o**3 + o**2 - 17*o - 22. Let y(m) = -6*f(m) + g(m). Let j be y(-8). Factor -13*t + j*t**2 - 12*t - 12 - 12*t + 27*t.
2*(t - 6)*(t + 1)
Let x be 0/(((-12)/(-3))/4). Let n be ((x*6/(-18))/3)/(-2). Solve -8/9*f**3 + n + 0*f - 4/9*f**4 + 0*f**2 = 0 for f.
-2, 0
Let s(i) = i**3 + 10*i**2 + 11*i + 28. Let c be s(-7). Let z = -34 + c. Factor -56*h + 0*h**3 + z*h - 2*h**3.
-2*h*(h - 2)*(h + 2)
Let k(a) be the third derivative of a**7/1260 - a**5/15 - 37*a**4/12 + 59*a**2. Let c(f) be the second derivative of k(f). Factor c(h).
2*(h - 2)*(h + 2)
Let c be -1 - 2*-2 - (-75 - -80). Let v be c - (1248/(-40))/13. What is y in 0 + v*y**3 + 0*y - 2/5*y**2 + 2/5*y**4 - 2/5*y**5 = 0?
-1, 0, 1
Let g(p) be the third derivative of -p**6/540 + p**5/45 + 11*p**4/12 - 104*p**3/27 + 3*p**2 + 3*p. Factor g(u).
-2*(u - 13)*(u - 1)*(u + 8)/9
Let l(r) = -7*r**2 - 151*r - 146. Let c(n) = 108*n**2 + 2265*n + 2188. Let z(o) = 6*c(o) + 93*l(o). Factor z(j).
-3*(j + 1)*(j + 150)
Let o be 4/(-8) + 20/8 + 2. Suppose 3*p + 256 = o*i, i - 8*p - 64 = -3*p. Factor 1/3*t**3 - 512/3 - 8*t**2 + i*t.
(t - 8)**3/3
Let o(y) be the second derivative of 23/18*y**3 + 32*y - 1/6*y**4 + 2/3*y**2 - 2. Factor o(r).
-(r - 4)*(6*r + 1)/3
Let z(o) be the second derivative of o**4/48 + 153*o**3/8 + 229*o**2/4 + 298*o. Factor z(m).
(m + 1)*(m + 458)/4
Factor -966050 - 1390*c - 1/2*c**2.
-(c + 1390)**2/2
Let h(j) be the third derivative of -j**8/1512 + 11*j**7/315 + j**6/5 - 3579*j**2. Factor h(m).
-2*m**3*(m - 36)*(m + 3)/9
Let v(t) = t**2 + 4*t + 7. Let a be v(-3). Let h be 1/a + (-6)/(-168). Determine b, given that 6/7*b**4 + 2/7*b**3 - 10/7*b**2 - h*b + 4/7 = 0.
-1, 2/3, 1
Let m = 15354/19205 + 2/3841. Suppose l = 3, -l + 15 = 5*h + 12. Determine d, given that -8/5*d + h + m*d**2 = 0.
0, 2
Let l = 35588/266955 - -2/88985. Suppose -l*m**2 + 8/5 + 22/15*m = 0. What is m?
-1, 12
Let y be (-2058924)/1820 + 3/39. Let i = -1130 - y. Factor -12/5*h**3 - i + 6/5*h**4 + 0*h**2 + 12/5*h.
6*(h - 1)**3*(h + 1)/5
Suppose -2*q + 308 = t + 2*q, 2*t - 4*q - 664 = 0. Suppose t + 512 = 11*g. Solve 2*u - u**2 - 5*u + 74 - g = 0 for u.
-2, -1
Suppose -2*r + 28 = -4*t, -4*r + 2*t - 60606 = -60626. Factor 2/3*o**r - 14 - 40/3*o.
2*(o - 21)*(o + 1)/3
Let m be (-1 + 1)*((-140)/(-28) + (-24)/6). Suppose 0*l**4 + m*l**2 + 0*l - 1/5*l**5 + 1/5*l**3 + 0 = 0. What is l?
-1, 0, 1
Let p(h) be the first derivative of -2*h**3/15 - 132*h**2/5 - 104*h - 1670. Suppose p(j) = 0. What is j?
-130, -2
Let h be (-24)/(-108) + (-4)/24. Let o(x) be the first derivative of 2/3*x + h*x**3 + 5 - 1/3*x**2. Determine w so that o(w) = 0.
2
Let k = -2543 - -2551. Let a(w) be the second derivative of 0*w**2 + k*w + 1/70*w**5 + 0 + 1/7*w**3 + 2/21*w**4. Factor a(d).
2*d*(d + 1)*(d + 3)/7
Let g = 403659/5 - 80731. What is l in 6/5*l**3 + 0*l + 2/5*l**4 + 0 + g*l**2 = 0?
-2, -1, 0
Let i(s) = -s + 98. Let w be i(-14). Let d be w/(-70) + (1 + -2 - -3). Determine r so that d*r**5 + 24/5*r - 4/5*r**2 + 16/5 - 14/5*r**3 + 0*r**4 = 0.
-2, -1, 2
Let y = -409 + 412. Solve -2 - 2 + 0*k + 4*k**2 + 13*k - 4*k**y + 2*k**5 - 7*k - 4*k**3 = 0.
-2, -1, 1
Let s = -1997/6 + -86/3. Let t = s - -365. Factor -9/2 - t*c**2 + 1/2*c**3 + 15/2*c.
(c - 3)**2*(c - 1)/2
Let v be (48 - (2 - 18)) + -54. Determine i so that 7/2*i**4 + 23/2*i**3 + 2*i + 0 + v*i**2 = 0.
-2, -1, -2/7, 0
Let x = -90178 - -90181. Factor 1/6*s**5 + 2/3*s**x - 1/3 - 5/6*s + 2/3*s**4 - 1/3*s**2.
(s - 1)*(s + 1)**3*(s + 2)/6
Let q(l) = -6*l**4 + 17*l**3 - 35*l**2 - 7*l + 41. Let s(t) = t**4 - t**3 - t - 1. Suppose 17*y - 8*y + 135 = 0. Let u(n) = y*s(n) - 3*q(n). Factor u(a).
3*(a - 6)**2*(a - 1)*(a + 1)
Let m(j) be the second derivative of 3*j**5/80 + j**4/2 - 3*j**3/2 - 54*j**2 - 363*j + 2. Factor m(k).
3*(k - 4)*(k + 6)**2/4
Let f = -6 + 9. Suppose f = a - 5. Solve -7*m + 13*m**2 + 3*m**2 - 16*m + 3*m + a - 4*m**3 = 0 for m.
1, 2
Let n = 1575803 + -7879013/5.