*4/4 + 2*w**3/3 - 2*w**2 - 18*w - 2. Factor c(i).
(i - 2)**2*(i - 1)*(i + 1)
Determine m, given that 431*m - 43*m**2 - 18 + 46*m**2 + 516 - 686*m = 0.
2, 83
Let h be ((-4)/5)/(1/5). Let m be 190/117 - h/26. Solve 10/3*r**5 + 22/9*r**4 - 10/3*r**2 + 8/9 + m*r - 46/9*r**3 = 0 for r.
-1, -2/5, 2/3, 1
Let q = 539 - 532. Let m(f) be the second derivative of -1/33*f**4 - 1/33*f**3 - q*f - 1/110*f**5 + 0 + 0*f**2. Factor m(a).
-2*a*(a + 1)**2/11
Let b(z) be the third derivative of -z**5/105 + z**4/7 + 2*z**3/3 - 71*z**2. Factor b(k).
-4*(k - 7)*(k + 1)/7
Let f be (-5)/((-20)/16)*(-3)/4662. Let v = f - -2078/2331. Solve 8/9*b + v*b**2 + 0 + 2/9*b**3 = 0.
-2, 0
Let u = -81 - -85. Let b be (u - 3) + -1 - 0/3. Factor 3/4*q**2 + 9/4*q**4 - 3/4*q**5 + b - 9/4*q**3 + 0*q.
-3*q**2*(q - 1)**3/4
Let l(i) be the second derivative of 1/14*i**7 - 3/2*i**3 + 3/10*i**5 + 1/2*i**4 + 3/2*i**2 + 0 + 8*i - 3/10*i**6. Factor l(j).
3*(j - 1)**4*(j + 1)
Factor -32/3 - 2/9*c**2 - 52/9*c.
-2*(c + 2)*(c + 24)/9
Let k(j) be the second derivative of j**5/330 + j**4/44 + 13*j**2/2 + 12*j. Let v(q) be the first derivative of k(q). Determine y, given that v(y) = 0.
-3, 0
Suppose 3*s - 3*m - 58 = -25, 0 = -s - m + 13. Let o be 1 - 1 - (0 + -4). Factor -o*k**4 + 4 - 4*k**2 - 4*k**3 + s*k**2 - 4.
-4*k**2*(k - 1)*(k + 2)
Suppose 2*b + 0*u = -4*u, 15 = -5*u. Let s(f) = 2*f - 9. Let n be s(b). Solve -o**3 - 2*o**4 - o - o**4 + 3*o**2 + 4*o**n - 2*o = 0 for o.
-1, 0, 1
Let k(w) be the second derivative of w**7/840 - w**6/120 + 4*w**4/3 - 24*w. Let s(h) be the third derivative of k(h). Solve s(y) = 0 for y.
0, 2
Suppose 0 = -2*z - w + 8 + 1, 0 = -5*z - 2*w + 22. Let j = 3793/40 - 757/8. Factor 0*v**3 + j*v**2 - 1/5*v**z + 0 + 0*v.
-v**2*(v - 1)*(v + 1)/5
Let j = 332606/455 - 731. Let c(z) be the third derivative of 3/728*z**8 + 0*z**4 + 0*z + 0 - 8*z**2 + 0*z**3 - 1/156*z**6 + 1/390*z**5 + j*z**7. Factor c(i).
2*i**2*(i + 1)*(3*i - 1)**2/13
Let c be ((-180)/14 + 3)*49/(-14). Factor -9 - c*j - 21/2*j**2.
-3*(j + 3)*(7*j + 2)/2
Let t(j) be the third derivative of -1/70*j**7 + 0*j**6 + 3/20*j**5 + 0*j**3 + 0 - 1/4*j**4 + 0*j + 17*j**2. Let t(y) = 0. What is y?
-2, 0, 1
Factor -5/3*p**3 - 65/3*p**2 - 60 - 200/3*p.
-5*(p + 2)**2*(p + 9)/3
Let k be (6/(-45))/(-6 - (-89)/15). Factor 3/2*a**5 + 33/2*a**4 + 24 + 84*a + 129/2*a**3 + 219/2*a**k.
3*(a + 1)**3*(a + 4)**2/2
Let y(o) = o**2 - o + 1. Let t(w) = 3*w**2 - 10*w - 5. Let b(p) = -t(p) + 4*y(p). Factor b(q).
(q + 3)**2
Let m = -1690/7 + 248. Factor -29/7*t - 1/7*t**5 - m*t**2 - 1 - 34/7*t**3 - 11/7*t**4.
-(t + 1)**4*(t + 7)/7
Let y(v) be the first derivative of -2*v**5/5 + v**4/2 + 96. Determine h, given that y(h) = 0.
0, 1
Let t be 14/((-7)/7*1/1). Let o be (2/20)/(t/(-105)). Let 3/4*j**2 - o*j + 0 = 0. Calculate j.
0, 1
Let s(j) be the second derivative of -18*j + 0*j**2 - 1/3*j**3 - 1/18*j**4 + 0. Factor s(o).
-2*o*(o + 3)/3
Let f be (-5 - 17/(-5))/((-21)/42). Let -f + 2/5*n**2 + 4/5*n = 0. What is n?
-4, 2
Let n(f) be the first derivative of f**6/15 + f**5/10 - 17*f - 20. Let m(y) be the first derivative of n(y). Factor m(v).
2*v**3*(v + 1)
Let c(j) be the second derivative of -5*j**7/42 - 3*j**6/2 - 13*j**5/2 - 15*j**4/2 + 45*j**3/2 + 135*j**2/2 + 2*j - 150. Find g such that c(g) = 0.
-3, -1, 1
Let l = 72 - 68. Suppose 16*k**3 - 4*k**3 + 9*k**l - 6*k**3 + 2*k**5 + k**5 = 0. What is k?
-2, -1, 0
Let s = -60 - -62. Let x(t) be the first derivative of -1/18*t**4 + 1/9*t**s - 2/9*t - 5 + 2/27*t**3. Factor x(y).
-2*(y - 1)**2*(y + 1)/9
Let j = -1253/1370 - -2/137. Let s = -2/5 - j. Factor 1/4 - 3/4*o**2 + s*o.
-(o - 1)*(3*o + 1)/4
Let v(g) = 4*g + 29. Let r be v(-7). Let o be 2/4*6 - r. Let -1/2*t - 11/4*t**o + 0 - 7/2*t**3 = 0. What is t?
-1/2, -2/7, 0
Suppose -4*i + 2 + 1 = 5*t, 0 = 2*i + 2*t - 2. Let f(r) = r**2 + r + 8. Let y be f(8). Factor -4*b**4 - 2 - 13 - 17 + 28*b**3 - 72*b**i + y*b.
-4*(b - 2)**3*(b - 1)
Let w = 512/13 - 2009/52. Find j such that -144*j + 384 + 18*j**2 - w*j**3 = 0.
8
Let m be (3 - (-10)/(-5))/(86/26). Let p = m - -253/301. Factor -2/7*k**2 - 8/7*k - p.
-2*(k + 2)**2/7
Let r(o) = -o**3 - 4*o**2 + 5*o + 5. Let s be r(-4). Let k = 19 + s. Factor 2*l**3 - 8*l**4 - 5*l**4 - 2*l + 12*l**k + l**2.
-l*(l - 2)*(l - 1)*(l + 1)
Let c = 163/1670 - -2/835. Let h(b) be the first derivative of 9/20*b**4 - 11/25*b**5 - 1/15*b**3 + 2/15*b**6 - c*b**2 + 0*b - 6. Determine u so that h(u) = 0.
-1/4, 0, 1
Let w = -25 - -28. Solve -5*x**3 - x**3 + 4 + 6*x**3 - 10*x + 8*x**2 - 2*x**w = 0 for x.
1, 2
Suppose n - 24 = -3*n. Suppose n = -2*t + 4*t. Solve 27/2*a**4 - 21/2*a**5 - t*a**3 + 0 + 0*a + 0*a**2 = 0 for a.
0, 2/7, 1
Let s = 4/3289 - -23015/6578. Factor 5/2*u**2 - 13/2*u + 1/2*u**3 + s.
(u - 1)**2*(u + 7)/2
Suppose -3*u - 5 = 2*b, -5*b - 2*u = 2*u + 2. Find f, given that -45*f**b - 6*f - 5*f**5 - 69*f**3 + 72*f**4 + 6*f**5 + 47*f**5 = 0.
-2, -1/4, 0, 1
Let a = 442 + -438. Let n(x) be the third derivative of 1/24*x**a + 1/600*x**6 - 1/75*x**5 - 1/15*x**3 + 0 + 0*x + x**2. Factor n(z).
(z - 2)*(z - 1)**2/5
Let r(s) = 3*s**2 - 9*s - 37. Let g be r(-20). Factor 6*k**4 - g - 4*k**2 + 1343 - 2*k**3.
2*k**2*(k - 1)*(3*k + 2)
Let o(b) = b**3 + b**2 - 2*b + 3. Let q be o(-2). Suppose -4*r + q*r - 8*r + 3*r**2 = 0. Calculate r.
0, 3
Suppose 5*c - 3 = -a + 8, c = 3*a - 1. Suppose -75/2 + 15*m - 3/2*m**c = 0. Calculate m.
5
Let j(v) = -2*v + 6 + 3*v**2 - 4 - v**2. Let w be j(1). Factor -2/3*l**3 - 2/9*l**w + 2/3*l + 0 + 2/9*l**4.
2*l*(l - 3)*(l - 1)*(l + 1)/9
Let c be 0/((-2)/5*-5). Let m be c/((8 - 2)/3). Factor d**2 - 1 + 4*d + 5 + m*d**2.
(d + 2)**2
Let o be 1/11 - (-86)/946. Let d(p) = p**2 - 4*p + 3. Let r be d(3). Factor 6/11*l + r*l**2 - o*l**3 - 4/11.
-2*(l - 1)**2*(l + 2)/11
Let o(g) be the third derivative of g**5/10 - g**4/4 - g**3/2 - 4*g**2. Suppose -7*a - 9 = -4*a. Let z(h) = h**2 - h - 1. Let q(y) = a*z(y) + o(y). Factor q(j).
3*j*(j - 1)
Let r be (-70)/24 + (2 + 4 - 3). Let h(l) be the third derivative of 0 + 8*l**2 + 0*l**3 + 0*l + r*l**4 - 1/40*l**6 + 1/60*l**5. Factor h(g).
-g*(g - 1)*(3*g + 2)
Let o(w) be the third derivative of w**7/210 + w**6/30 + w**5/12 + w**4/12 + 12*w**2. Factor o(j).
j*(j + 1)**2*(j + 2)
Let h(v) be the second derivative of -v**5/70 - v**4/2 - 7*v**3 - 49*v**2 - 3*v - 15. Factor h(q).
-2*(q + 7)**3/7
Suppose -4*i + 8 = -0*i. Suppose n**i - 14 - 4*n**3 + 2 + 11*n**2 + 4*n = 0. What is n?
-1, 1, 3
Let n(k) be the first derivative of -13/24*k**4 - 1/30*k**5 + 34 + 12*k - 23/9*k**3 - k**2. Factor n(l).
-(l - 1)*(l + 2)*(l + 6)**2/6
Let d(g) be the second derivative of 5*g + 0 - 1/132*g**4 + 0*g**3 + 1/330*g**5 + 5/2*g**2. Let w(b) be the first derivative of d(b). What is n in w(n) = 0?
0, 1
Let a(z) = z**3 + 3*z**2 - 73*z - 20. Let t be a(-10). Let m = 7 - 4. Factor -4*w**3 - 6*w**2 + 17*w**3 - t*w**m.
3*w**2*(w - 2)
Find p such that -3/2 - 11/2*p**2 - 17*p = 0.
-3, -1/11
Suppose 20 = 129*r - 127*r + 4*j, r = 3*j - 10. Factor 3/2*o + 9/4*o**r + 1/4.
(3*o + 1)**2/4
Let c(p) = 6*p + 1. Let f be c(1). Suppose -f*i - 12 = -4*n - 2*i, 0 = -5*n - 4*i + 15. Factor 8*z**3 - 16 - 10*z**3 + 2*z + 9*z - n*z + 4*z**2.
-2*(z - 2)**2*(z + 2)
Let c(a) = 3*a**4 - 6*a**3 - 36*a**2 + 90*a - 48. Let f(v) = v**3 - 2*v. Let h(m) = -c(m) - 3*f(m). Solve h(x) = 0 for x.
-4, 1, 2
Let a(q) be the second derivative of q**8/84 - 2*q**7/147 - q**6/105 - 19*q**2/2 - 13*q. Let t(b) be the first derivative of a(b). Determine x so that t(x) = 0.
-2/7, 0, 1
Suppose 6*v + 5 = -67. Let o(m) = -m**3 - 11*m**2 + 11*m - 10. Let s be o(v). Factor 0*w**s - 3*w - 4 - 4*w**2 + 3*w**2 - w.
-(w + 2)**2
Let r(d) = 3*d. Let t be r(2). Let c be t/(-54)*3/(-2). Find k such that -c*k**3 - 1/2*k - 1/2*k**2 - 1/6 = 0.
-1
Let j be (11/(858/4))/(0 - (-1)/9). Let 0 - 18/13*t**5 + 6/13*t**2 - 4/13*t - j*t**4 + 22/13*t**3 = 0. What is t?
-1, -2/3, 0, 1/3, 1
Let j be 245/(-98)*21/(-10). Find o, given that 21/4*o**2 + 0 - j*o**4 - 3/2*o + 3/2*o**3 = 0.
-1, 0, 2/7, 1
Let t(o) be the first derivative of -o**6/14 - 108*o**5/35 - 1467*o**4/28 - 3070*o**3/7 - 13050*o**2/7 - 27000*o/7 - 83. Factor t(k).
-3*(k + 3)**2*(k + 10)**3/7
Let r(f) be the first derivative of 3*f**6/2 - 21*f**5/5 + 15*f**4/4 - f**3 + 46. Factor r(l).
3*l**2*(l - 1)**2*(3*l - 1)
Suppose -16