ivative of o**9/16632 + o**8/1540 + 3*o**7/1540 - 7*o**3/6 - 6*o**2. Let t(h) be the first derivative of s(h). Factor t(m).
2*m**3*(m + 3)**2/11
Let f = -23 - -16. Let s(v) = -5*v**2 - 32*v - 75. Let t(b) = -16*b**2 - 97*b - 225. Let i(y) = f*s(y) + 2*t(y). Let i(n) = 0. What is n?
-5
Suppose -3*f + 6*f = 0. Suppose a - 2 = -f, 18 = 2*q + 5*a. Factor -4 + 3*r - 23*r**q - 7*r**3 + 20*r**4 + r**3 + 6*r**2 + 1 + 3*r**5.
3*(r - 1)**3*(r + 1)**2
Let -16*u + 24*u**3 - 38*u - 27*u**2 + 10*u**4 - 28*u**4 + 15*u**4 = 0. Calculate u.
-1, 0, 3, 6
Let o(j) = -113*j - 2032. Let c be o(-18). Factor 3/4*b**4 + 27/4 - 9*b - 3/2*b**c + 3*b**3.
3*(b - 1)**2*(b + 3)**2/4
Let t(d) be the first derivative of 3*d**6/5 - 2*d**5/25 - 27*d**4/10 - 2*d**3 + 2*d**2/5 + 494. Determine h, given that t(h) = 0.
-1, 0, 1/9, 2
Let l(q) = 38*q**4 - 128*q**3 + 150*q**2 - 68*q + 8. Let x(u) = -u**4 + u**3 + u**2 - u. Let r(c) = l(c) - 12*x(c). Factor r(f).
2*(f - 1)**2*(5*f - 2)**2
Let a(d) be the third derivative of -d**6/24 + 3*d**5/4 + 35*d**4/8 + 55*d**3/6 - 3*d**2 - 19*d. Factor a(i).
-5*(i - 11)*(i + 1)**2
Let d(u) be the second derivative of -u**6/1080 - u**5/360 + u**4/12 - 2*u**3/3 - 6*u. Let q(y) be the second derivative of d(y). Factor q(a).
-(a - 2)*(a + 3)/3
Let w(x) be the second derivative of x**7/7560 + x**6/540 - x**5/72 + x**4/12 - 5*x. Let n(d) be the third derivative of w(d). Find l such that n(l) = 0.
-5, 1
Factor 2/5*h**2 - 44/5*h + 114/5.
2*(h - 19)*(h - 3)/5
Let a = 189/5 - 75/2. Let d(s) be the first derivative of -3/5*s + a*s**2 + 2/5*s**3 - 3/25*s**5 + 1/10*s**6 - 3/10*s**4 - 5. Factor d(j).
3*(j - 1)**3*(j + 1)**2/5
Solve 8*f**2 + 0 - 4/9*f**3 + 0*f = 0.
0, 18
Let i = 11 - -1. Determine q so that i - 8 + q**2 - 4*q - 4*q**2 + 4*q**2 = 0.
2
Let f be 0/1 + (1344 + -3)/3. Let t = -2207/5 + f. Solve -t*u**3 + 8/5 + 28/5*u + 12/5*u**2 - 4*u**4 = 0 for u.
-1, -2/5, 1
Let u = -1/381 + 128/381. Let n(f) be the second derivative of -8*f - 8/15*f**4 + u*f**6 + 0*f**2 - 4/15*f**3 + 0 - 1/10*f**5. What is h in n(h) = 0?
-2/5, 0, 1
Suppose 12 = 5*y - 3. Let o be (-6)/(6 - (2 - -2)) + y. Let -14/11*s**3 - 2/11*s**5 + 0*s + o + 6/11*s**2 + 10/11*s**4 = 0. What is s?
0, 1, 3
Let r = -114 + 116. Solve 7*g + 2*g - 18*g**r + 23*g**2 + 4 = 0 for g.
-1, -4/5
Suppose n = 2*u + 10, -4*n - 4*u + u - 4 = 0. Let d be (1/n)/((-1)/(-8)). Find z such that -12*z**2 - 8*z**3 + z**d - 8*z - 2 + 3*z**4 - 6*z**4 = 0.
-1
Let v = 19101/7 + -2723. What is k in -18/7*k**2 + v*k - 8/7 = 0?
2/9, 2
Let g(j) be the first derivative of 65*j**3/3 + 275*j**2/2 + 210*j - 463. Factor g(y).
5*(y + 1)*(13*y + 42)
Let n(q) be the second derivative of -q**6/10 + 51*q**5/20 - 93*q**4/4 + 175*q**3/2 - 147*q**2 + 389*q. Factor n(a).
-3*(a - 7)**2*(a - 2)*(a - 1)
Suppose 4*p + 55 = -5*t + 22, 2*t = -2*p - 12. Factor -d**2 + 3/2*d + 0 - 1/2*d**p.
-d*(d - 1)*(d + 3)/2
Suppose 0 = -14*w - 7*w + 126. Suppose -4*h + 2*h + 2*k = -2, -w = -4*h + 2*k. Determine g, given that -14/5*g + 4/5*g**h + 4/5 + 6/5*g**3 = 0.
-2, 1/3, 1
Let y(r) = 5*r**3 + 11*r**2 - 3*r - 9. Let v(d) = d**3 + d**2. Let n be 14/(-21)*(9/6 + -3). Let l(h) = n*y(h) - 6*v(h). Determine j so that l(j) = 0.
-1, 3
Find m, given that -3/2*m**2 + 0 - 5/4*m**3 + 1/4*m**5 + 1/2*m**4 + 0*m = 0.
-3, -1, 0, 2
Let j(b) = b**3 + 111*b**2 - 103*b. Let g(m) = -2*m**3 - 332*m**2 + 310*m. Let y(t) = 3*g(t) + 8*j(t). Factor y(w).
2*w*(w - 53)*(w - 1)
Let y(d) be the second derivative of d**4/3 - 20*d**3/3 + 32*d**2 - 283*d. What is c in y(c) = 0?
2, 8
Suppose -170 = -12*j + 550. Let q be 3 - (j/9)/4. Factor 0 + q*n - 2*n**2.
-2*n*(3*n - 2)/3
Let z(d) = -5*d**3 + 17*d**2 - 15*d - 3. Let t(o) = -4*o**3 + 18*o**2 - 16*o - 2. Let u(a) = 3*t(a) - 2*z(a). What is f in u(f) = 0?
0, 1, 9
Let p(l) be the second derivative of l**7/98 - 3*l**6/70 - 3*l**5/28 + 3*l**4/28 + 2*l**3/7 + 2*l - 211. Solve p(h) = 0 for h.
-1, 0, 1, 4
Factor -385*v - 704 - 64 - 48*v**3 - 383*v - 288*v**2 - 3*v**4.
-3*(v + 4)**4
Let p(a) be the third derivative of a**5/80 - a**4/4 - 9*a**3/8 + 2*a**2 - 118*a. Determine n so that p(n) = 0.
-1, 9
Factor 6/5*r + 13/10*r**3 + 23/5*r**2 + 1/10*r**4 - 36/5.
(r - 1)*(r + 2)*(r + 6)**2/10
Factor -3/2*x**3 + 24 + 3/2*x**4 - 18*x**2 - 6*x.
3*(x - 4)*(x - 1)*(x + 2)**2/2
Determine d, given that 1/4*d**5 + 3/2*d**4 + 0 - 11/4*d**3 - 15*d**2 + 25*d = 0.
-5, 0, 2
Let d(b) be the first derivative of -b**6/72 + 13*b**5/12 - 845*b**4/24 - 23*b**3/3 - 18. Let l(g) be the third derivative of d(g). Solve l(w) = 0 for w.
13
Let p be -4 + 2 - (-124)/(-4). Let t(i) = -i**2 - 34*i - 31. Let z be t(p). Factor 8/3 + 108*o**3 + 36*o**4 + 84*o**z + 76/3*o.
4*(o + 2)*(3*o + 1)**3/3
Let p(l) be the third derivative of -l**6/220 + 19*l**5/660 - l**4/66 - l**3/3 - 27*l**2. Let y(g) be the first derivative of p(g). Factor y(f).
-2*(f - 2)*(9*f - 1)/11
Let o = 7707 - 10520054/1365. Let k(f) be the third derivative of -1/780*f**6 + 0*f**3 + 1/156*f**4 + 1/390*f**5 + 0*f + 4*f**2 + 0 - o*f**7. Factor k(q).
-2*q*(q - 1)*(q + 1)**2/13
Find d such that 2/9*d**2 - 10/9*d + 4/3 = 0.
2, 3
Factor -11*o - 1/2*o**2 - 121/2.
-(o + 11)**2/2
Let b(n) = 7*n**3 - 49*n**2 - 587*n + 625. Let d(s) = -2*s**3 + 3*s. Let t(i) = b(i) + 4*d(i). Factor t(g).
-(g - 1)*(g + 25)**2
Factor -12*z**2 - 4/3*z**3 + 0 + 88/3*z.
-4*z*(z - 2)*(z + 11)/3
Let h(y) be the second derivative of y**6/15 + 7*y**5/10 + 7*y**4/3 + 8*y**3/3 + y + 14. Factor h(u).
2*u*(u + 1)*(u + 2)*(u + 4)
Let i(x) be the second derivative of -24*x + 0 - 1/4*x**3 + 1/24*x**4 - x**2. Find w such that i(w) = 0.
-1, 4
Let h(b) be the second derivative of -b**5/120 - b**4/24 + b**3/4 + 4*b**2 - 2*b. Let i(o) be the first derivative of h(o). Let i(l) = 0. What is l?
-3, 1
Let j be (-32)/(-80)*4/(72/15). Let c(f) be the first derivative of -j*f + 1/3*f**3 - 5 + 1/3*f**2. Find u such that c(u) = 0.
-1, 1/3
Let k(u) be the first derivative of -u**6/120 + u**5/40 + 2*u - 23. Let s(r) be the first derivative of k(r). Factor s(x).
-x**3*(x - 2)/4
Suppose 5*o - 87 = 2*o. Let m = 206/7 - o. Determine y, given that -m*y**3 + 15/7*y**2 - 6/7*y**4 - 9/7 + 3/7*y = 0.
-3/2, -1, 1
Let v = 36287 + -72565/2. Solve 3/2*z**2 + v - 6*z = 0 for z.
1, 3
Let s = 5402 + -5400. Solve 47/9*w**s - 4/3 - 7/9*w**3 - 28/9*w = 0 for w.
-2/7, 1, 6
Let p be ((-40)/(-28))/(5/35). Suppose p*f - 5*f - 40 = -5*b, b + 2 = f. Find x such that 30/7*x**3 - 15/7*x**f - 12/7*x**2 + 6/7*x**4 - 15/7*x + 6/7 = 0.
-1, 2/5, 1
Let o be ((1729/52)/19)/(21/24). Determine j so that -9/4*j - 3/4*j**3 - 9/4*j**4 + 27/4*j**o - 3/2 = 0.
-2, -1/3, 1
Let l(c) be the third derivative of -1/80*c**5 + 0*c + 0*c**3 - 24*c**2 + 0 + 5/32*c**4. Let l(o) = 0. Calculate o.
0, 5
Let f be (16/56 - (-3)/(-84)) + 84/48. Factor 6 - 16/3*v - 2/3*v**f.
-2*(v - 1)*(v + 9)/3
Let w = 23 + -25. Let x(a) = -a**3 - 1. Let z(p) = -p**3 - 4*p**2 + 5*p - 4. Let s(v) = w*x(v) + z(v). Suppose s(t) = 0. Calculate t.
1, 2
Let r(t) = -t - 1. Let x be r(-5). Suppose 3*q + 107 = x*o, -4*o - 5*q + 86 = 19. Solve -22*u**2 - 3*u**3 + 2*u**3 + o*u**2 = 0.
0, 1
Let k(v) = -3*v - 6 + 3*v**3 - v**2 + 9 - 3*v. Let n(c) = c**3 + c**2 + 1. Let l(m) = k(m) - 5*n(m). Factor l(a).
-2*(a + 1)**3
Factor 12*u**2 + 3*u**3 + 2*u**2 - 22*u**2 + 4*u**2 - u**3.
2*u**2*(u - 2)
Let s(y) = 647*y**2 + 153*y + 3. Let q be 98/(-34) + (-10)/85. Let n(b) = 323*b**2 + 77*b + 2. Let x(w) = q*s(w) + 7*n(w). What is d in x(d) = 0?
-1/8
Let z(d) = 2*d**5 - 2*d**4 - 15*d**3 + 22*d**2 - 13*d - 3. Let m(r) = r**5 - r**4 - 15*r**3 + 21*r**2 - 14*r - 4. Let t(a) = 3*m(a) - 4*z(a). Factor t(c).
-5*c*(c - 1)**3*(c + 2)
Let u be 3 + 0 + (-2)/(-1). Factor -u*p**4 + 32 - 5*p**2 - 15*p**3 - 5*p**2 - 32.
-5*p**2*(p + 1)*(p + 2)
Suppose 29*c = c + 56. Let s(u) be the second derivative of 0 + 2/3*u**3 + 7/3*u**4 + 49/20*u**5 + 9*u + 0*u**c. Factor s(b).
b*(7*b + 2)**2
Let q be ((-592)/1110)/((-4)/3). Factor -4/15*m**2 + 0 + 2/15*m**3 - q*m.
2*m*(m - 3)*(m + 1)/15
Let z(s) be the second derivative of -s**4/16 + 3*s**3/4 - 15*s**2/8 + 457*s. Determine y so that z(y) = 0.
1, 5
Suppose -134 + 316 = t. Suppose d + t = 186. Factor -2/3*n**d + 0*n**2 + 4/3*n**3 + 2/3 - 4/3*n.
-2*(n - 1)**3*(n + 1)/3
Let -1140*a + 150 + 2565/2*a**4 + 7329/2*a**3 + 243/2*a**5 + 2427/2*a**2 = 0. What i