**5/360 + 5*o**4/36 + 4*o**3/3 - 41*o. Let r(p) be the second derivative of f(p). Factor r(c).
(c - 5)*(c - 1)*(c + 2)/3
Let c(o) be the third derivative of 0*o + 1/3*o**4 + 0*o**3 + 1/30*o**5 - 14*o**2 + 0. Factor c(k).
2*k*(k + 4)
Let n(y) = 169*y - 173*y + 3 - 7*y**2 + 0. Let x(b) = b**2 - 2*b**2 + 0*b**2 - b. Let c(l) = -n(l) + 4*x(l). Factor c(r).
3*(r - 1)*(r + 1)
Let m(n) be the second derivative of -n**4/6 + 32*n**3/3 + 68*n**2 - 3*n + 109. Determine b so that m(b) = 0.
-2, 34
Let l(j) = 4*j**3 - 11*j**2 - 25*j + 32. Let k(r) = -r**2 + r. Let z(g) = -k(g) - l(g). Suppose z(q) = 0. What is q?
-2, 1, 4
Let q(h) be the second derivative of -1/2*h**5 + 5/2*h**3 + 25/12*h**4 + 0*h**2 - 9*h + 0. Suppose q(p) = 0. Calculate p.
-1/2, 0, 3
Let q be 238/(-240) - (-14)/14. Let d(x) be the third derivative of -q*x**6 + 0*x - 1/12*x**4 + 0*x**3 - 1/20*x**5 + 5*x**2 + 0. Factor d(h).
-h*(h + 1)*(h + 2)
Let k = -68 + 65. Let p be 3/k*2/(-10). Factor -p*s + 2/5 - 1/5*s**2.
-(s - 1)*(s + 2)/5
Let s(p) be the second derivative of 2*p**6/15 - 7*p**5/5 - 6*p**4 - 6*p - 20. Factor s(q).
4*q**2*(q - 9)*(q + 2)
Suppose 3*z - 1372 = -y, z + 178 - 632 = 3*y. Factor 6*m**3 + 3*m**4 - z*m + 0*m**4 - 3*m**2 + 451*m.
3*m*(m - 1)*(m + 1)*(m + 2)
Let v(q) = -4*q + 10. Let r be v(4). Let i be (-2 + (5 - r/(-2)))/1. Factor -2/13*l + 16/13*l**4 + 12/13*l**3 + 6/13*l**5 + 0*l**2 + i.
2*l*(l + 1)**3*(3*l - 1)/13
Find l, given that 91*l**5 + 10*l**4 - 5*l**2 + l**2 - 86*l**5 + 4*l**2 + 5*l**3 = 0.
-1, 0
Let q = 4 + 19. Factor q*r**5 - 41*r**5 + 2*r - 4*r**3 + 20*r**5.
2*r*(r - 1)**2*(r + 1)**2
Let j(s) be the second derivative of -2/19*s**4 + 15*s - 3/19*s**2 + 0 - 10/57*s**3 - 1/285*s**6 - 3/95*s**5. Factor j(c).
-2*(c + 1)**3*(c + 3)/19
Suppose -182*s = -168*s - 56. Let h(o) be the second derivative of 1/21*o**3 + 4*o + 0 + 1/42*o**s - 1/7*o**2 - 1/70*o**5. Factor h(d).
-2*(d - 1)**2*(d + 1)/7
Let u be ((-6)/(-42))/(22/462). Determine t, given that -2/5*t**u + 4/5*t + 0 + 2/5*t**2 = 0.
-1, 0, 2
Factor -8/9*g + 20/9*g**4 + 0 - 4/9*g**5 + 28/9*g**2 - 4*g**3.
-4*g*(g - 2)*(g - 1)**3/9
Let k(w) be the third derivative of -w**8/504 + w**7/126 + w**6/180 - 11*w**5/180 + w**4/12 - 14*w**2 + w. Determine n so that k(n) = 0.
-3/2, 0, 1, 2
Find s such that 6*s**5 + 0*s**3 + 12*s**2 + 37 - 40 - 6*s**3 - 9*s**4 = 0.
-1, -1/2, 1
Factor -1/8*k**4 + 15/8*k**2 + 0 - k - 3/4*k**3.
-k*(k - 1)**2*(k + 8)/8
Let j(a) be the third derivative of 2*a**7/105 - a**6/20 - a**5/15 - 329*a**2. Factor j(c).
2*c**2*(c - 2)*(2*c + 1)
Let s be 1*-2*2/4. Let f = s - -19. Factor t**2 + 3*t**2 + 0 + 4*t**5 + 32*t + 16 - 4*t**4 - f*t**3 - 2*t**3.
4*(t - 2)**2*(t + 1)**3
Let q be (-2)/(-7) - (-24)/14. Suppose 7*w + 5*f = 12*w - 10, 13 = 4*w + f. Let 18*p**3 - p**q - 7*p**3 - 10*p**w = 0. Calculate p.
0, 1
Let x(j) = -7*j**3 + 10*j**2 - j - 18. Let t(p) = -3*p - 20. Let h be t(-12). Let o(m) = 22*m**3 - 30*m**2 + 2*m + 54. Let z(v) = h*x(v) + 5*o(v). Factor z(c).
-2*(c - 3)**2*(c + 1)
Let c(b) be the first derivative of -20/3*b**3 - 6 + 32*b**2 - 12*b. Factor c(w).
-4*(w - 3)*(5*w - 1)
Let v(y) be the third derivative of 4*y**2 + 0*y + 0 - 3/8*y**4 + 0*y**3 + 1/20*y**5. Factor v(u).
3*u*(u - 3)
Let w(p) be the second derivative of -p**6/45 + 7*p**5/30 + p**4/18 - 7*p**3/9 - 19*p - 6. Factor w(o).
-2*o*(o - 7)*(o - 1)*(o + 1)/3
Solve -13*c**3 + 46*c**3 + 3*c**3 + 478*c**4 - 76*c - 42*c**2 - 238*c**4 - 238*c**4 = 0 for c.
-19, -1, 0, 2
Let b = 31 - 25. Factor -2*d**5 - 2 + 4*d**5 - 4*d**3 + b - 14*d - 4*d**4 + 120*d**2 - 104*d**2.
2*(d - 1)**4*(d + 2)
Let v(l) = -1. Let o be 11/((-55)/(-50)) - (1 + 1). Let k(f) = 4*f**2 + 8*f - 4. Let c(u) = o*v(u) + k(u). Factor c(w).
4*(w - 1)*(w + 3)
Let a(r) be the first derivative of -r**3 - 3*r**2 + 9*r + 177. Factor a(w).
-3*(w - 1)*(w + 3)
Determine l so that -24*l**2 + 20 - 8*l**2 - 5*l - l + 38*l**2 - 8*l**2 = 0.
-5, 2
Suppose 9 = 5*x - 6. Suppose y - x*b + 6 = -5*b, 4*b = y - 12. What is u in 8*u + y*u - 3*u**3 + u**3 = 0?
-2, 0, 2
Let 96/5*c**2 + 64/5*c**3 + 320 - 256*c + 4/5*c**4 = 0. What is c?
-10, 2
Let d(w) be the second derivative of -w**8/420 + w**6/30 - w**5/15 - 11*w**3/6 + 11*w. Let m(t) be the second derivative of d(t). Factor m(g).
-4*g*(g - 1)**2*(g + 2)
Let q(a) = a**2 + 8*a - 9. Let d be q(-9). Suppose 24*o - 20*o - 8 = d. Factor -6*g**4 - 4*g + 2*g**2 + 2*g**3 + 2*g**5 + 3*g**2 + g**o.
2*g*(g - 2)*(g - 1)**2*(g + 1)
Let g be 3 + 129/(-42) + 7/14. Let p(l) = -l + 7. Let o be p(5). Factor 6/7*f - g*f**o - 3/7.
-3*(f - 1)**2/7
Factor 0*a - 16/3*a**2 + 2/3*a**4 + 0*a**3 + 32/3.
2*(a - 2)**2*(a + 2)**2/3
Let c(s) be the third derivative of -1/30*s**5 - 6*s**2 + 1/120*s**6 + 0*s + 0*s**3 - 1/336*s**8 + 0 + 0*s**4 + 1/105*s**7. Solve c(m) = 0.
-1, 0, 1, 2
Let u = 2949 + -2945. Let f(s) be the second derivative of 2*s + 1/4*s**3 + 0 + 0*s**2 - 1/8*s**u. Let f(q) = 0. Calculate q.
0, 1
Let p(z) be the first derivative of 7 - 2/5*z**5 + z**4 + 2*z + 0*z**3 - 2*z**2. Factor p(v).
-2*(v - 1)**3*(v + 1)
Let j be (-675)/50*(-1)/36. Let x(l) be the second derivative of 1/12*l**4 + 7*l + 0 - j*l**3 + 1/4*l**2. Find m, given that x(m) = 0.
1/4, 2
Find w such that 62/5*w - 2/5*w**2 + 64/5 = 0.
-1, 32
Determine j so that -12*j + 1151*j**2 - 3*j**5 - 562*j**2 - 625*j**2 - 29*j**4 + 11*j**4 - 39*j**3 = 0.
-2, -1, 0
Let d be 10/(-38)*2/(-15)*-33. Let t = d + 236/171. Factor t*s**3 + 0*s**2 - 4/9 - 2/3*s.
2*(s - 2)*(s + 1)**2/9
Let b be (8 + (-24 - -13))*(-8)/21. Factor 0 - 18/7*t**3 - 1/7*t**5 + 20/7*t**2 - b*t + t**4.
-t*(t - 2)**3*(t - 1)/7
Let 1/4*n**2 + 0 - 3*n = 0. What is n?
0, 12
Suppose -29*n + 35*n - 24 = 0. Let o(v) be the first derivative of -1 + 2*v**2 - v**n - 2*v + 2/3*v**3. Let o(d) = 0. Calculate d.
-1, 1/2, 1
Suppose -17432 = 16*g - 17512. Let 4/7*y**g + 0 + 0*y - 4/7*y**3 + 4/7*y**4 - 4/7*y**2 = 0. What is y?
-1, 0, 1
Let n(i) = i**2 + i - 1. Let p be n(-3). Let g be p/2*(21 + -5). Factor -g + 8*o**2 - 4*o**4 + 15 + 21.
-4*(o - 1)**2*(o + 1)**2
Let f(v) = -23*v**3 - 31*v**2 + 129*v - 95. Let g(a) = -27*a**3 - 30*a**2 + 129*a - 96. Let s(b) = 6*f(b) - 5*g(b). Factor s(j).
-3*(j - 2)*(j - 1)*(j + 15)
Let w = 2186 - 15278/7. Factor -4/7*f**3 - w*f**2 - 32/7 - 48/7*f.
-4*(f + 2)**3/7
Solve 5/2*h**4 - 2*h + 3/2*h**3 + 1/2*h**5 + 0 - 5/2*h**2 = 0 for h.
-4, -1, 0, 1
Suppose 0 = -13*n + 20*n - 280. Let d be n/18 - (-4 + 114/27). Solve 1/3*b**d + 2/3*b + 1/3 = 0.
-1
Let r be 1 - (4 + (-6 + 3 - 3)). Let i(t) be the first derivative of -1/15*t**r + 0*t - 1/5*t**2 + 5. Solve i(c) = 0.
-2, 0
Let 70*t**2 + 876 + 2*t**3 + 171*t + 478*t + 543 - 841 - 3*t = 0. Calculate t.
-17, -1
Let 14/3*q + 40/9 + 2/9*q**2 = 0. Calculate q.
-20, -1
Factor 465*n - 5*n**2 - 887*n + 8*n**2 - n**2.
2*n*(n - 211)
Let s(n) = 7*n**4 + 18*n**3 - 77*n**2 + 112*n - 48. Let k(p) = -5*p**4 - 18*p**3 + 76*p**2 - 111*p + 49. Let t(z) = 4*k(z) + 3*s(z). Solve t(r) = 0 for r.
1, 2, 13
Let k be 5*-4*6/(-30). Let b(i) be the second derivative of 2/15*i**6 + 1/21*i**7 - 1/3*i**k + 7*i - 1/10*i**5 + 0*i**3 + 0*i**2 + 0. Factor b(w).
2*w**2*(w - 1)*(w + 1)*(w + 2)
Let c(j) = 5*j**2 - 2*j + 1. Let m be 4/(-12) - (-12)/9. Let r be c(m). Find w, given that 4*w**5 - 5*w**2 - 2*w**3 - 2*w**5 + w**r + 4*w**2 = 0.
-1, -1/2, 0, 1
Suppose -33 - 147 = -30*z. Let k(s) be the second derivative of 0 - 3*s - 1/4*s**4 - 3/2*s**3 + z*s**2. Determine j, given that k(j) = 0.
-4, 1
Let d(c) = -6*c**4 - 26*c**3 + 193*c**2 - 305*c + 151. Let t(w) = -w**4 + w + 1. Let f(v) = -3*d(v) + 21*t(v). Determine u so that f(u) = 0.
1, 12
Suppose 1819*l - 1815*l = 2*f + 12, -5*l - 4*f + 2 = 0. Suppose 24/5 - 4/5*d**l - 4/5*d = 0. What is d?
-3, 2
Let w(x) be the first derivative of -x**6/36 - x**5/30 + x**4/8 + 5*x**3/18 + x**2/6 - 26. What is b in w(b) = 0?
-1, 0, 2
Let v(s) = -s**3 + 5*s**2 + 3*s + 3. Let x be v(5). Find m, given that -13*m**5 - 10*m**4 + x*m**5 - 4*m**3 + 8*m**3 + m**3 = 0.
0, 1
Let t(r) = r**3 - 9*r**2 - 11*r + 12. Let h be t(10). Suppose h = 4*s - 3*s. Factor -4*d - s - 121*d**3 + 4 - 2 + 44*d**2.
-d*(11*d - 2)**2
Let n(w) = w + 25. Let x = 24 - 31. Let o be n(x). Solve -25/2*d**3 + o*d + 15*d**2 + 4 = 0 for d.
-2/5, 2
Factor -52/5*k - 2*k**2 + 1/5*k**3 - 56/5.
(k - 14)*(k + 2)**2/5
Let i(x) = -10*x**2 - 12*