Let r(g) be the third derivative of s(g). Factor r(m).
4*(m - 2)**2*(m + 2)
Let s = 224170/3 - 74722. Determine w, given that 4/3*w**2 - s + 1/3*w - 1/3*w**3 = 0.
-1, 1, 4
Let z = 14278 - 14274. Let t(y) be the first derivative of 0*y + 16 - 1/23*y**2 + 2/69*y**3 - 2/115*y**5 + 1/46*y**z. Factor t(q).
-2*q*(q - 1)**2*(q + 1)/23
Factor 39/7*g + 74/7 - 36/7*g**2 - 1/7*g**3.
-(g - 2)*(g + 1)*(g + 37)/7
Let w(k) = 3598*k - 23. Let r be w(1). Factor 3595*b**2 - r*b**2 - 193 - 412*b + 25.
4*(b - 21)*(5*b + 2)
Let d = -522 + 527. Find x such that x + 3 + 3*x**4 - 2*x**3 - 6*x**2 - 4*x**5 + 3*x**d + 2*x**5 = 0.
-3, -1, 1
Let s = -9 + 27. Let o = s + -13. Solve -9*d**3 - 5 - 3*d**4 + 3*d**o + 5 + 26*d**2 + 6*d - 23*d**2 = 0.
-1, 0, 1, 2
Let w(j) = 949*j - 899*j - 37*j**2 - j**4 - 25 - 4*j**3 + 5. Let o(x) = -2*x**4 - 5*x**3 - 38*x**2 + 49*x - 19. Let i(m) = -4*o(m) + 5*w(m). Factor i(t).
3*(t - 2)*(t - 1)**2*(t + 4)
Let c = 16296 - 16294. Suppose 3*a + v - 3 = 0, 5*a - 5*v + 15 = -0*a. Factor 0*q + a + 1/3*q**5 - q**4 + q**3 - 1/3*q**c.
q**2*(q - 1)**3/3
Let x(t) be the first derivative of -t**5/25 + 2*t**3/15 - 58*t - 22. Let w(z) be the first derivative of x(z). Let w(m) = 0. Calculate m.
-1, 0, 1
Determine s so that 1710*s**2 - 145*s**3 + 4131*s - 725 - 5*s**5 + 116*s**4 - 269*s**3 - 295*s**4 - 166 = 0.
-33, -3, 1/5, 3
Let g be (-10)/(-4)*(-30)/35. Let a = -38/21 - g. Let a*m**5 - 1/3*m**2 + 0 - 1/3*m**3 + 0*m + 1/3*m**4 = 0. Calculate m.
-1, 0, 1
Let s = -58 + 55. Let f be 1/(1/s - (-30)/36). Suppose -254*z + 263*z + z**3 - 4*z**f - 4 - 2*z**2 = 0. Calculate z.
1, 4
Factor -19/6*x**4 + 79/6*x**3 - 14/3 + 50/3*x - 133/6*x**2 + 1/6*x**5.
(x - 14)*(x - 2)*(x - 1)**3/6
Suppose -383 = -2*o - d, 4*o - 3*d - 765 = 26. Let u = -138 + o. Suppose t**3 + 5*t**5 + 24*t**2 - u*t**2 + 7*t**5 + 3*t**3 + 32*t**4 - 16*t = 0. What is t?
-2, -1, -2/3, 0, 1
Let q = -29891/18 - -1661. Let r(u) be the first derivative of -16/45*u**5 + 0*u - 16/27*u**6 + q*u**4 - 2/27*u**3 + 0*u**2 - 11. Determine z so that r(z) = 0.
-1, 0, 1/4
Let q = 33/161 - -12975/322. Let r(m) be the second derivative of -q*m**2 + 0 - 1/12*m**4 - 15*m + 3*m**3. Factor r(p).
-(p - 9)**2
Let l(f) be the first derivative of 2*f**5/5 - 4*f**4/3 + 5*f**3/3 - f**2 + 18*f + 63. Let r(a) be the first derivative of l(a). Factor r(p).
2*(p - 1)*(2*p - 1)**2
Let i(k) be the second derivative of k**5/20 + 9*k**4/4 + 13*k**3/3 - 822*k. Solve i(u) = 0 for u.
-26, -1, 0
Let 7438451 - 20179603 + 10847*f - 8*f**2 + 1014*f - 1765*f + 6*f**2 = 0. What is f?
2524
Suppose -1635*y = -1039 - 2231. Factor -4/3*q**y - 8/3 - 4*q.
-4*(q + 1)*(q + 2)/3
Find b, given that -513/2*b**3 + 39*b**2 + 0 + 0*b + 39/2*b**4 = 0.
0, 2/13, 13
Let m(r) be the first derivative of -6*r**2 - 4*r - 25 + 108 - 56 + 4*r**4. Factor m(w).
4*(w - 1)*(2*w + 1)**2
Let g(r) be the third derivative of r**6/30 - 8*r**5/15 + 3*r**4/2 + 12*r**3 - 98*r**2 - 2*r. Factor g(y).
4*(y - 6)*(y - 3)*(y + 1)
Let n(i) be the third derivative of i**9/136080 + i**8/30240 + 11*i**4/12 - 55*i**2. Let l(s) be the second derivative of n(s). Factor l(j).
j**3*(j + 2)/9
Let d = 33925 - 33923. Let z(n) be the second derivative of -1/3*n**4 - 50*n**d + 41*n - 20/3*n**3 + 0. Determine g, given that z(g) = 0.
-5
Suppose -b + 199 = -2*h - 79, 271 = b + 5*h. What is f in 66*f**2 - 34*f**2 + b*f - 35*f**2 - 6348 = 0?
46
Suppose -11*g = -13*g + 24. Factor 37*o**2 - 96*o + 36 + 20*o**2 - 14*o**3 + 41*o**3 - g*o**2.
3*(o + 3)*(3*o - 2)**2
Let f(a) be the second derivative of a**7/105 - 4*a**6/25 - 42*a**5/25 - 19*a**4/15 + 113*a**3/5 + 306*a**2/5 - 1002*a. Suppose f(i) = 0. What is i?
-3, -1, 2, 17
Let s be (12/10)/(9/30). Suppose -s*p = 4*m - 44, 2*m - 2*p = m + 20. Factor m*b**2 - 10*b**2 - 9*b**2 - 10 + 15*b.
-5*(b - 2)*(b - 1)
Let j(q) be the third derivative of -8*q**7/35 + 33*q**6/5 + 379*q**5/4 + 897*q**4/8 + 55*q**3 + 2*q**2 - 967. Let j(g) = 0. Calculate g.
-5, -1/4, 22
Let d(w) be the third derivative of 1/210*w**7 + 0*w**4 + 1/60*w**5 - 2 + 0*w - 1/60*w**6 + 4*w**2 + 0*w**3. Solve d(q) = 0 for q.
0, 1
Determine s, given that -1/4*s**2 + 369/4 - 30*s = 0.
-123, 3
Let y(w) = -5*w**2 - 2*w + 28. Let g be y(4). Let o be -4*27/g - -3. Determine b so that 4/5*b**4 + 0 + 6/5*b**5 - 8/5*b - o*b**2 - 18/5*b**3 = 0.
-1, -2/3, 0, 2
Factor 150/7*o - 432/7 - 52/21*o**2 + 2/21*o**3.
2*(o - 9)**2*(o - 8)/21
Let t(o) be the second derivative of o**5/20 - 11*o**4/12 - 20*o**3/3 - 14*o**2 + 28*o. Factor t(u).
(u - 14)*(u + 1)*(u + 2)
Let o(g) be the third derivative of g**5/390 + g**4 + 156*g**3 - 624*g**2. Determine y, given that o(y) = 0.
-78
Suppose 0*d = d + 5, 431 = 4*i + 5*d. Suppose 14 + i = 2*b. Suppose 32*x**2 - 4*x**4 + 60*x - 116*x + 56*x - b = 0. What is x?
-2, 2
Let y(a) be the third derivative of a**6/120 - 219*a**5/5 + 95922*a**4 - 112036896*a**3 - 2*a**2 - 4*a - 6. Factor y(d).
(d - 876)**3
Factor 1 - 34*g**2 - 7*g**3 + 2 + g**4 + 92*g**2 - 17*g + 3 - 41*g**2.
(g - 3)*(g - 2)*(g - 1)**2
Let d(t) be the first derivative of 15*t + 5*t**2 + 5/9*t**3 - 104. Solve d(z) = 0.
-3
Determine l so that 81/2*l**2 + 297*l + 0 - 39/2*l**3 = 0.
-3, 0, 66/13
Let t(n) be the third derivative of n**5/105 - n**4/42 - 8*n**3/7 + n**2 + 155*n. Find j such that t(j) = 0.
-3, 4
Suppose -5*f - f + 5*v + 34 = 0, 10 = 5*f + 5*v. Let y(t) be the third derivative of 0*t + 3/8*t**f - 9*t**2 - 1/20*t**5 + 0 + 0*t**3. Factor y(u).
-3*u*(u - 3)
Let t = -262 - -254. Let a be (2 + 40/(-15))/(t/3). Suppose -1/4*i**3 + a*i - 1/4 + 1/4*i**2 = 0. Calculate i.
-1, 1
Let c = 422/5 + -2929/35. Suppose 8/7 - c*y**2 + 1/7*y**3 + 2/7*y = 0. What is y?
-1, 2, 4
Suppose -4*z + 2*z + 14 = 2*g, -2*z = 3*g - 20. Suppose 37*d - 39*d = -g. Factor 1/5*y**5 + 7/5*y**4 + 5*y**2 + 19/5*y**d + 4/5 + 16/5*y.
(y + 1)**3*(y + 2)**2/5
Let j(p) be the third derivative of p**5/12 + 445*p**4/3 + 316840*p**3/3 - 34*p**2 + 13*p. Factor j(a).
5*(a + 356)**2
Let k = 435 - 282. Let n be k/315 - (-4)/(-14). Factor -n*g**2 + 3/5*g + 4/5.
-(g - 4)*(g + 1)/5
Factor -806/7*k - 58*k**2 - 402/7 - 2/7*k**3.
-2*(k + 1)**2*(k + 201)/7
Suppose -8006 - 80344*j**2 + 704*j**4 + 860*j**4 - 780 + 151368*j + 56*j**5 - 1618 + 5152*j**3 = 0. Calculate j.
-17, 1/14, 3
Suppose -2*i + 10 = -5*h + 3*i, 2*h + 4*i - 26 = 0. Let c be (-1)/4 - h/(-4)*3. Solve -8*n - c*n**4 + 26*n**3 + 8*n**2 + 24*n**3 - 48*n**3 = 0.
-2, 0, 1, 2
Let a(v) = -v**3 + v. Let c(l) = l**3 + l**2 - 5*l - 7. Let g be c(-2). Let k(h) = 3*h**3 + 4*h**2 - 3*h - 4. Let n(m) = g*k(m) - 5*a(m). Factor n(j).
2*(j - 2)*(j - 1)*(j + 1)
Suppose -u - 5*m - 23 = 0, 3*u + 17 = -5*m - 2. Factor 1080 + 8141*l + 5948*l**3 + 47610*l**u + 50453*l**3 + 4434*l**3 + 2361*l + 1918*l.
5*(23*l + 6)**3
Let j(s) be the first derivative of 45*s**4/4 + 5210*s**3/3 + 75110*s**2 - 33640*s - 2643. Let j(k) = 0. Calculate k.
-58, 2/9
Suppose 2*i + 18 = 0, 4*g - 604 = 4*i - 560. Find k, given that 2/7*k**g + 1922/7 - 124/7*k = 0.
31
Let k(g) be the third derivative of -g**6/660 + 16*g**5/55 + 295*g**4/132 + 6*g**3 - 2197*g**2. Factor k(d).
-2*(d - 99)*(d + 1)*(d + 2)/11
Let k be 3 + (-234)/(-15) + 3. Let v(o) = -71*o - 7240. Let p be v(-102). Solve -54/5 - 2/5*g**4 + 4*g**3 + k*g - 72/5*g**p = 0.
1, 3
Let o = -2429/12 + 611/3. Let u(f) be the first derivative of -1/2*f**2 + 1/12*f**3 - o*f - 36. Factor u(q).
(q - 5)*(q + 1)/4
Let w(f) be the second derivative of 1/90*f**4 + 16/45*f**3 - 23 + f**2 - 3*f. Factor w(z).
2*(z + 1)*(z + 15)/15
Let c(r) be the third derivative of -r**7/385 - 17*r**6/330 + 31*r**5/330 + 43*r**4/66 + 8*r**3/11 + 2*r**2 + 4*r - 80. Determine q, given that c(q) = 0.
-12, -1, -1/3, 2
Let y(o) be the second derivative of -o**3/2 - 3*o**2 + 11*o. Let u be y(-4). Solve 8 + 16*r**2 + u*r**3 + 28*r - 38*r - 20 = 0 for r.
-3, -2/3, 1
Let w(f) = f**3 - 4*f**2 + 2*f + 5. Let q be w(3). Factor -384*d + 864*d**3 + 417*d**2 + 131*d**4 + 48 + 189*d**q + 112*d**4 - 54*d**2.
3*(d + 2)**2*(9*d - 2)**2
Let z(a) be the second derivative of -1/5*a**5 + 512*a**2 - 56 - 448/3*a**3 + 2*a - 31/3*a**4. Factor z(n).
-4*(n - 1)*(n + 16)**2
Let u(k) be the second derivative of 7*k**5/230 - 415*k**4/23 + 3204*k**3 + 63368*k**2/23 - 3023*k. Solve u(o) = 0 for o.
-2/7, 178
Let v(k) = -8 + 0*k + 49 - k - 2*k. Let r be v(13). Fa