*4 = 0.
-1, 1, 2
Let r = -2330 + 2334. Factor 2/3 + n**3 - 1/3*n**2 - 1/3*n**r - n.
-(n - 2)*(n - 1)**2*(n + 1)/3
Determine c, given that 2*c**2 - 10*c**2 + 27*c**2 + 15*c**2 + 6*c**2 + 5*c**3 + 80*c = 0.
-4, 0
Let a(z) = -212*z + 2547. Let q be a(12). Factor 0 + 2/3*l**4 + 2/3*l**q - 8/3*l**2 - 8/3*l.
2*l*(l - 2)*(l + 1)*(l + 2)/3
Let y(t) = 65*t**2 + 390*t + 27. Let c be y(-6). Factor 12*a**2 + c - 3/2*a**3 - 63/2*a.
-3*(a - 3)**2*(a - 2)/2
Let b = -67489 - -608566/9. Let m = -129 + b. Factor 2/9 + 2/9*y**2 + m*y.
2*(y + 1)**2/9
Let w = 227 + -224. Let n(a) be the second derivative of 1/36*a**4 + 0 - 1/18*a**w + 0*a**2 - 3*a. Find t, given that n(t) = 0.
0, 1
Let c be 54/81 + (-16)/(-3). Factor o**3 - 3*o + 3*o + c*o**2 + 3*o - 2*o**2.
o*(o + 1)*(o + 3)
Let i(t) = 5*t**2 - 985*t + 12515. Let j(v) = v**2 - 246*v + 3129. Let a(k) = -4*i(k) + 15*j(k). Factor a(p).
-5*(p - 25)**2
Let j(w) be the third derivative of -w**5/20 - 15*w**4/2 - 450*w**3 + 2*w**2 - 2*w. Factor j(l).
-3*(l + 30)**2
Suppose -6*h + 407 + 2023 = 0. Factor -600*g**2 - h*g**5 - 600*g**4 - 125*g - 613*g**3 - 737*g**3 + 75*g**4 - 10 - 825*g**4.
-5*(g + 2)*(3*g + 1)**4
Factor 6/25*t + 0 - 2/5*t**2 + 2/25*t**4 + 2/25*t**3.
2*t*(t - 1)**2*(t + 3)/25
Let l(f) be the third derivative of f**5/80 - 9*f**4/32 - 5*f**3/4 - f**2 + 6*f. Factor l(q).
3*(q - 10)*(q + 1)/4
Let b(o) be the first derivative of o**4/24 - 7*o**3/2 + 441*o**2/4 - 3087*o/2 - 53. Factor b(u).
(u - 21)**3/6
Let m be 21*(4/(-6))/(-2). Suppose -i = -5*t + 18, m - 1 = t + i. Solve k**t - 10*k**3 - 3*k**2 - 4*k**4 + 4 + 12*k + 0 + 0*k = 0.
-2, -1/3, 1
Let a(m) be the first derivative of -19 - m - 1/12*m**3 - 1/2*m**2. Factor a(b).
-(b + 2)**2/4
Suppose -2 = -h + k, 2*h - 5*k - 31 = 4*h. Let u = h - -5. Let -4/5*t**u - 2/5*t + 2/5 = 0. Calculate t.
-1, 1/2
Let f(r) = -r**2 - 2*r + 2. Let w(q) = 8*q**2 + 37*q - 102. Let y(a) = 18*f(a) + 2*w(a). Suppose y(c) = 0. Calculate c.
7, 12
Let j be 0/((-10)/(-2)) + 2. Factor i**2 - 2*i**2 + 12 - 12*i + 0*i**3 - 2*i**j + 3*i**3.
3*(i - 2)*(i - 1)*(i + 2)
Let f(d) = 4*d**5 - 53*d**4 - 132*d**3 - 149*d**2 - 59*d. Let m(x) = 5*x**5 - 79*x**4 - 198*x**3 - 223*x**2 - 88*x. Let h(g) = -7*f(g) + 5*m(g). Factor h(k).
-3*k*(k + 1)**2*(k + 3)**2
Solve 2/9*n**3 + 2/9*n**4 + 0*n - 4/9*n**2 + 0 = 0.
-2, 0, 1
Let p(q) be the first derivative of 5*q**4/2 - 115*q**3/3 + 55*q**2/2 - 352. Determine t, given that p(t) = 0.
0, 1/2, 11
Let k(s) be the second derivative of 0*s**2 + 0 + 6*s - 1/6*s**3 - 1/24*s**4. Factor k(q).
-q*(q + 2)/2
Let m(z) be the second derivative of -z**4/18 - 41*z**3/9 + 266*z. What is r in m(r) = 0?
-41, 0
Determine w so that -24/5*w**3 + 24/5*w + 4/5*w**2 + 0 - 4/5*w**4 = 0.
-6, -1, 0, 1
What is t in 62/3 - 1/3*t**2 - 61/3*t = 0?
-62, 1
Suppose 0 = -c + 3*z - 16, 8*z = -6*c + 10*z. Factor 50/13*f + 20/13*f**c + 2/13*f**3 + 0.
2*f*(f + 5)**2/13
Let v(g) be the second derivative of 5/12*g**4 + 40*g**2 - 4*g - 20/3*g**3 + 0. Let v(h) = 0. What is h?
4
Factor 15*i**3 + 0 + 15*i**2 + i**3 + 6*i**3 + 7*i**4 + i - 2 - 3*i**3.
(i + 1)**3*(7*i - 2)
Let x(r) = -18*r**4 + 331*r**3 - 934*r**2 + 961*r - 312. Let d(l) = -10*l**4 + 166*l**3 - 466*l**2 + 482*l - 156. Let o(v) = -7*d(v) + 4*x(v). Factor o(y).
-2*(y - 78)*(y - 1)**3
Let l(g) be the second derivative of 1/80*g**5 - 7*g + 0 - 1/24*g**3 - 1/48*g**4 + 1/8*g**2. What is p in l(p) = 0?
-1, 1
Suppose -2*f + 6 + 4 = -p, 0 = 5*f + 5*p - 10. Factor -2*w**2 + 28*w - 12 - 12*w**3 - 11*w**4 - 10*w**2 + 19*w**f.
4*(w - 1)**3*(2*w + 3)
Suppose -2 = -3*v - 5, -2*g + 15 = -5*v. Factor -19*b + 11*b - 10 + 13*b + g*b**2.
5*(b - 1)*(b + 2)
Let b(q) = -30*q**2 + 90*q - 81. Let u(x) = -3*x**2 - 595 + 587 + 6*x + 3*x. Let g(h) = -2*b(h) + 21*u(h). Let g(w) = 0. Calculate w.
1, 2
Let o be 15/(-4 + 9)*(0 - -1). Factor 23*r**2 - 35*r**o + 27*r**2 - 8 + 38 + 125*r + 10*r**2.
-5*(r - 3)*(r + 1)*(7*r + 2)
Let r(k) = k**2 + 3 + 0*k - k - 4. Let s(g) be the first derivative of -4*g**3 - 5*g**2/2 + 2. Let q(n) = 2*r(n) - s(n). Factor q(m).
(2*m + 1)*(7*m - 2)
Let k(l) be the third derivative of l**5/60 - 7*l**4/72 + l**3/9 + 38*l**2. Factor k(d).
(d - 2)*(3*d - 1)/3
Let k(b) be the first derivative of b**5/5 + 3*b**4 + 29*b**3/3 + 9*b**2 - 727. Find a, given that k(a) = 0.
-9, -2, -1, 0
Let k(l) be the third derivative of -l**6/320 - l**5/32 - 79*l**2 - l. Solve k(s) = 0 for s.
-5, 0
Let i(n) be the third derivative of n**5/10 + n**4/40 + 355*n**2. Factor i(w).
3*w*(10*w + 1)/5
Let s be 220/550 - (-2)/(-15). Let t(u) be the first derivative of 11 + s*u**3 + 1/5*u**2 + 0*u + 1/10*u**4. Let t(c) = 0. What is c?
-1, 0
Suppose -2*y = -2*k - 12, 0 = y - 4*y + k + 6. Factor 18/11*o - 6/11*o**3 + y*o**2 + 12/11.
-6*(o - 2)*(o + 1)**2/11
Let k be (-12)/(-18) - (-12)/9. Factor 0*f**2 - k*f**2 + f**5 + f**3 - 4*f**3.
f**2*(f - 2)*(f + 1)**2
Let c(z) be the second derivative of -7*z**5/180 - z**4/36 - 3*z**2 + 6*z. Let q(l) be the first derivative of c(l). Solve q(b) = 0 for b.
-2/7, 0
Let l(y) be the second derivative of -y**5/35 + 4*y**4/21 + 8*y**3/7 + 38*y. Factor l(g).
-4*g*(g - 6)*(g + 2)/7
Let u be (50/4)/5*4/85. What is o in -2/17*o + u*o**2 - 4/17 = 0?
-1, 2
Let r(f) be the first derivative of 35/2*f**2 - 27 - f**5 - 10*f + 25/4*f**4 - 15*f**3. Factor r(i).
-5*(i - 2)*(i - 1)**3
Let b(n) = 2*n - 6. Let f be b(5). Suppose -85 = -3*o + a - 29, -f*a - 54 = -2*o. Factor 6*q - 3*q**3 + 11 - o + 3*q**2 + 6.
-3*q*(q - 2)*(q + 1)
Let j(n) be the third derivative of n**8/50400 - n**7/6300 + n**6/1800 + n**5/5 - 7*n**2. Let v(w) be the third derivative of j(w). Factor v(t).
2*(t - 1)**2/5
Let w(o) be the third derivative of o**6/20 + 29*o**5/15 + 17*o**4/12 - 38*o**3/3 + 96*o**2. What is p in w(p) = 0?
-19, -1, 2/3
Let -3/8*r**3 + 0 + 1/8*r + 0*r**2 - 1/4*r**4 = 0. Calculate r.
-1, 0, 1/2
Let h be 1 + -2 - -9*6/54. Let z(u) be the third derivative of 0*u - 1/72*u**4 + 0 + h*u**3 - 3*u**2 + 1/180*u**5. Factor z(s).
s*(s - 1)/3
Let q(m) be the third derivative of -m**8/112 + 11*m**7/70 - 9*m**6/20 - m**5/10 + 19*m**4/8 - 9*m**3/2 + 36*m**2. Factor q(p).
-3*(p - 9)*(p - 1)**3*(p + 1)
Let j(w) be the first derivative of w**6/45 - 4*w**5/15 + w**4 - 9*w**2 + 108*w/5 - 97. What is y in j(y) = 0?
-2, 3
Let y be -4 + -4 + (-1021)/(-126). Let o = 4/63 + y. Factor -2/3*j**2 + 0 + 2/3*j**3 + 0*j - o*j**4.
-j**2*(j - 2)**2/6
Let f be (-9)/(-12)*6 + (-7)/14. Let i be (f/(-30))/(38/(-380)). Factor -i*j**3 + 2*j**2 + 4/3*j + 0.
-2*j*(j - 2)*(2*j + 1)/3
Solve 0*k**2 + 9*k**2 - 6*k**2 + 2 + 5*k = 0 for k.
-1, -2/3
Suppose 4*n + 32*l = 35*l - 3, -2*l = n - 13. Solve 4/3 - 4/3*a**n - 4*a + 4*a**2 = 0 for a.
1
Let c(m) = -20*m**5 + 132*m**4 - 488*m**3 + 568*m**2 + 16*m. Let x(r) = -7*r**5 + 44*r**4 - 163*r**3 + 189*r**2 + 6*r. Let d(k) = 3*c(k) - 8*x(k). Factor d(b).
-4*b**2*(b - 4)**2*(b - 3)
Let l(i) be the second derivative of 0 - 1/30*i**5 - 8/3*i**2 - 4/3*i**3 - 8*i - 1/3*i**4. Factor l(n).
-2*(n + 2)**3/3
Let 1/2*l**5 - 51/2*l**2 + 0 - 25*l + 51/2*l**4 + 49/2*l**3 = 0. Calculate l.
-50, -1, 0, 1
Let k(d) be the second derivative of 5*d**4/12 + 5*d**3/3 - 90*d. Factor k(o).
5*o*(o + 2)
Let d(b) be the second derivative of -b**4/18 + 62*b**3/9 + 2*b + 430. Factor d(j).
-2*j*(j - 62)/3
Let b(n) be the third derivative of n**8/1680 + n**7/210 + n**6/75 + n**5/75 + n**2 + 299*n. Let b(u) = 0. What is u?
-2, -1, 0
Let i(z) be the third derivative of -z**9/98280 - z**8/3640 - z**7/455 - 3*z**4/8 + 12*z**2. Let g(t) be the second derivative of i(t). Factor g(o).
-2*o**2*(o + 6)**2/13
What is t in 6/7*t**4 + 6/7*t**3 + 0 + 0*t + 2/7*t**5 + 2/7*t**2 = 0?
-1, 0
Let g be 15/1*13*(-6)/(-390). Solve -h + 0*h**2 + h**g + 1/2*h**4 - 1/2 = 0.
-1, 1
Factor -152/7 - 604/7*m + 16/7*m**2.
4*(m - 38)*(4*m + 1)/7
Suppose 0 = t - 4*j - 6, -3*t - 7*j = -3*j - 2. Let v(b) be the first derivative of -4/3*b**3 + 0*b + 2*b**t - 6. What is h in v(h) = 0?
0, 1
Let p = 576047/8817 + -1/2939. What is w in 2744/9*w + 4802/9 + 56/9*w**3 + p*w**2 + 2/9*w**4 = 0?
-7
Let v = -647 - -647. What is b in 2/11*b**2 + 0 + v*b = 0?
0
Factor 64/5 - 144/5*p + 4/5*p**4 + 112/5*p**2 - 36/5*p**3.
4*(p - 4)*(p - 2)**2*(p - 1)/5
Suppose 0 = -4*b - m + 5*m + 92, 25 = -5*m. Let t be -6*((-4)/144 - 4/b). Factor -t*z**2 - 9/2 + 1/6*