 1/10*b**u - 1/3*b**3. Factor y(c).
2*(c - 1)*(3*c - 2)/5
Let z be (-16220)/(-18) - 10/45. Let b = z + -900. Factor -10/9*s + b*s**2 + 4/9 - 2/9*s**3.
-2*(s - 2)*(s - 1)**2/9
Let t be (4 - (-720)/(-175))*(-42)/36. Let f(l) = l + 1. Let c be f(-1). Solve c - 2/15*y**3 - t*y**2 + 0*y = 0.
-1, 0
Let f(u) = -45995*u**2 - 31965*u - 5565. Let b(h) = 4181*h**2 + 2906*h + 506. Let c(s) = -65*b(s) - 6*f(s). Factor c(n).
5*(29*n + 10)**2
Let b(w) be the third derivative of -w**6/420 + 17*w**5/630 + 3*w**4/28 + w**3/9 + 38*w**2 + 2. Let b(d) = 0. What is d?
-1, -1/3, 7
Let x be (32/(-20) - -2) + (-469)/(-140). Factor -27/4*i**5 + 3/2*i**2 - 12*i**4 + 0*i + 0 - x*i**3.
-3*i**2*(i + 1)**2*(9*i - 2)/4
Determine a so that 8 - 2/15*a**2 - 34/15*a = 0.
-20, 3
Determine x, given that 34 - 86*x + 34*x + 4*x**2 + 54 = 0.
2, 11
Suppose 113*j**2 - 8*j + 107*j**2 - 218*j**2 = 0. Calculate j.
0, 4
Let z(k) = 12*k**2 + 55*k + 1936. Let v(i) = i**2 - 3*i. Let t(h) = 22*v(h) - 2*z(h). Factor t(l).
-2*(l + 44)**2
Suppose 0 = 2*j - 4*k + 12, 0*j = 5*j + k - 14. Factor 68*m + 4 + 5 - 140*m**j + 7 - 24.
-4*(5*m - 1)*(7*m - 2)
Factor -10*l**3 + 9*l**2 + 2*l**2 - 3*l**4 + 6*l**2 - 26*l**2 - 2*l.
-l*(l + 1)*(l + 2)*(3*l + 1)
Let m(h) be the third derivative of h**7/14 - h**6/12 - 4*h**5/3 - 35*h**4/12 - 5*h**3/2 + 12*h**2 - 5. Find n, given that m(n) = 0.
-1, -1/3, 3
Determine p, given that -16/5*p + 64/5 + 1/5*p**2 = 0.
8
Factor -39/7*m - 6 + 3/7*m**2.
3*(m - 14)*(m + 1)/7
Let x(b) = 0*b**5 - 7*b**2 - 7*b - b**4 - 3*b**4 - 6*b**5 + 3*b**4. Let v = -7 - -10. Let z(r) = -r**5 - r**2 - r. Let j(s) = v*x(s) - 21*z(s). Factor j(m).
3*m**4*(m - 1)
Let i(g) = g**3 - 7*g**2 + 7*g - 2. Let m be i(6). Factor -m*y**2 - 5 + 4*y**3 + 4 + 1 - 4*y + 4.
4*(y - 1)**2*(y + 1)
Let m be (6 - (2 + 0)) + -2. Suppose 4*n + m*n - 318 = 0. Factor -5*u**3 + 3*u**4 - 59*u**2 + 3*u**5 + 3*u + 0*u**4 - u**3 + 3 + n*u**2.
3*(u - 1)**2*(u + 1)**3
Factor -5/4*a**2 + 35*a - 245.
-5*(a - 14)**2/4
Suppose 0 = -4*n + 10 + 2. Let t be 4*((-3 - -3) + n). Determine g, given that 4*g**4 + 9*g**5 - 3*g**2 - 21*g**3 - 12 - t*g**5 + 11*g**4 + 24*g = 0.
-1, 1, 2
Let g(j) = -j**2 - j - 2. Let u(a) = 7*a**2 + 14*a + 11. Let k(m) = -40*g(m) - 5*u(m). Factor k(f).
5*(f - 5)*(f - 1)
Let f(u) be the first derivative of 2*u**3/51 - 270*u**2/17 + 36450*u/17 - 43. Factor f(m).
2*(m - 135)**2/17
Let l(x) be the third derivative of 0 - 1/28*x**4 - 1/70*x**5 - 1/420*x**6 - 1/21*x**3 + 2*x**2 + 0*x. Determine b, given that l(b) = 0.
-1
Let t be 623/89*(0 - (-6)/14). Suppose 6 = 3*c - 3. Solve 2*y**3 - t*y**3 + y + 0*y**c = 0.
-1, 0, 1
Let l be 6/10 - (-26)/(-10). Let g be -3 + (l - -6) + 3. Let 190 + 20*p**3 - 190 + g*p**5 - 16*p**4 - 8*p**2 = 0. What is p?
0, 1, 2
Let o(l) be the first derivative of -l**6/48 + l**5/24 + 7*l**2 - 17. Let p(m) be the second derivative of o(m). Factor p(y).
-5*y**2*(y - 1)/2
Let q(l) = 3*l**2 - 36*l - 90. Let v(d) = 4*d**2 - 35*d - 90. Let m(i) = -2*q(i) + 3*v(i). Suppose m(b) = 0. What is b?
-2, 15/2
Let p = 2149/4306 - -2/2153. Factor -13/2*c**2 - 6*c - p*c**4 - 2 - 3*c**3.
-(c + 1)**2*(c + 2)**2/2
Let t = -28 + 62. Factor -40*l**2 + 7*l + t*l**2 - 2*l**3 - 5*l + 8*l - 4 + 2*l**4.
2*(l - 1)**3*(l + 2)
Let f(v) be the third derivative of -v**9/16632 + v**7/1540 - v**6/990 - 19*v**3/3 - 36*v**2. Let o(p) be the first derivative of f(p). What is k in o(k) = 0?
-2, 0, 1
Let t = 145434/5 + -29058. What is p in -4/5*p**3 - 52/5*p**2 - 192/5*p - t = 0?
-6, -1
Suppose -t = -0*t - 54. Suppose -t = -0*l - 6*l. Factor -3*q**2 - l*q + 0*q**2 - 5 + 11 + 9*q**3 - 3*q**4.
-3*(q - 2)*(q - 1)**2*(q + 1)
Let w(p) = -p**3 - 7*p**2 + 6*p - 8. Let n be w(-5). Let c = n - -90. Factor -2/5 - 2/5*g**c - 4/5*g.
-2*(g + 1)**2/5
Let c = 205/187 + -14/17. Let k = 31/33 - c. Solve -4/3*r**3 + k*r**4 - 2/3*r**2 + 0 + 4/3*r = 0 for r.
-1, 0, 1, 2
Let d(k) be the third derivative of -k**11/498960 + k**9/45360 - k**7/7560 - 13*k**5/60 - k**2. Let z(p) be the third derivative of d(p). Factor z(j).
-2*j*(j - 1)**2*(j + 1)**2/3
Let z(u) be the second derivative of 0 + 0*u**2 + 2/15*u**3 + 9/100*u**5 - 1/150*u**6 - 1/210*u**7 - 24*u - 11/60*u**4. Solve z(j) = 0 for j.
-4, 0, 1
Factor -38*r**4 - 143*r**3 - r**5 - 145*r**3 - r**5 - 10*r**4.
-2*r**3*(r + 12)**2
Suppose 2*b + 2*b = 8. Factor 24 + b*u**2 - 13 - 9 + 4*u.
2*(u + 1)**2
Let p(d) be the third derivative of -d**5/4 + d**4 + 2*d**3 - 13*d**2. Factor p(u).
-3*(u - 2)*(5*u + 2)
Let t(z) = 4*z**3 + 36*z**2 + 32*z + 2. Let y(c) = -4*c**3 - 34*c**2 - 30*c - 3. Let p(h) = -3*t(h) - 2*y(h). Factor p(a).
-4*a*(a + 1)*(a + 9)
Let w(q) be the third derivative of -q**7/1155 + 7*q**6/660 - 8*q**5/165 + q**4/11 - 59*q**2. Find z, given that w(z) = 0.
0, 2, 3
Let d(f) be the second derivative of -f**7/14 - f**6/10 + 3*f**5/4 - 3*f**4/4 + 45*f. Suppose d(o) = 0. What is o?
-3, 0, 1
Let w(n) = n**3 + n. Let i(p) = -4*p + 4*p + p**3 - 1 - 3*p + 4*p - 11*p**2. Let r(k) = 3*i(k) - 21*w(k). What is d in r(d) = 0?
-1, -1/2, -1/3
Let a(m) be the first derivative of -2*m**5/55 - m**4/22 + 10*m**3/33 - 3*m**2/11 - 43. Find r, given that a(r) = 0.
-3, 0, 1
Let x = -3 - -7. Let h = 0 + x. Suppose 2/5*a**h - 4/5*a + 0*a**3 + 0 - 6/5*a**2 = 0. Calculate a.
-1, 0, 2
Let f be 23/4 + (9 - 14). Let c(s) = 3*s - 12. Let u be c(8). Factor -u - f*v**2 - 6*v.
-3*(v + 4)**2/4
Let t(w) be the second derivative of -1/8*w**3 - w + 5*w**2 - 1/240*w**5 + 0 - 1/24*w**4. Let y(a) be the first derivative of t(a). Let y(x) = 0. What is x?
-3, -1
Let f(d) be the second derivative of d**7/210 - d**6/40 - d**5/20 + 11*d**4/24 - d**3 - 41*d**2/2 + 11*d. Let q(w) be the first derivative of f(w). Factor q(n).
(n - 3)*(n - 1)**2*(n + 2)
Let y(k) = -k**2 + 4*k + 23. Let a be (-4)/2 + (-6)/(-6 - -12). Let h be y(a). Determine c, given that 12/7*c**h + 2/7 + 8/7*c**3 + 2/7*c**4 + 8/7*c = 0.
-1
Factor 95/3*s - 100/3 + 5/3*s**2.
5*(s - 1)*(s + 20)/3
Let c(b) be the first derivative of 1/9*b**3 + 41 + b**2 + 3*b. Factor c(k).
(k + 3)**2/3
Let u be ((-8)/4 - (-27)/(-5)) + (412 - 404). Determine y, given that y**3 - u*y**2 + 0 - 1/5*y**4 - 9/5*y = 0.
-1, 0, 3
Let i = -2426 - -2426. Factor -4/5*j**2 - 12/5*j + i.
-4*j*(j + 3)/5
Factor -2/9*r**5 + 0 + 2/3*r**3 + 8/9*r**2 - 8/9*r - 4/9*r**4.
-2*r*(r - 1)**2*(r + 2)**2/9
Let i(t) be the first derivative of 4*t**5/25 + 2*t**4/5 - 112*t**3/15 + 92*t**2/5 - 84*t/5 - 123. Let i(n) = 0. Calculate n.
-7, 1, 3
Let w(r) be the first derivative of 5*r**4/2 + 2*r**3 - 2*r**2 + 47. Determine u, given that w(u) = 0.
-1, 0, 2/5
Let n(k) be the first derivative of -k**4/4 - 5*k**3/3 + 7*k**2/2 + 8*k + 3. Let c be n(-6). Find d, given that 0 + 10*d**2 + 0 - 13*d**c = 0.
0
Let d(i) = -3*i**3 - 13*i**2 + 18*i + 16. Let j(l) = -2*l**3 - 13*l**2 + 16*l + 18. Let x(z) = 3*d(z) - 4*j(z). Suppose x(p) = 0. What is p?
-1, 2, 12
Let n be (-7)/2*(3 + 135/(-42)). Suppose -5*r + 6 = -d, -3*r - 1 = -3*d + 5. Solve -7/4*y**r - 1/2*y**3 - 1/2*y + 0 + n*y**4 = 0.
-1, -1/3, 0, 2
Let k(w) be the third derivative of w**8/1176 + 2*w**7/735 - w**6/210 - 4*w**5/105 - w**4/12 - 2*w**3/21 - 5*w**2 - 1. Find y such that k(y) = 0.
-1, 2
Let d(q) be the second derivative of 1/4*q**4 - 3/2*q**2 - 9/20*q**5 + 3/2*q**3 + 0 + 3*q. Find k such that d(k) = 0.
-1, 1/3, 1
Let c(w) be the first derivative of w**6/39 - 2*w**5/13 + 5*w**4/13 - 20*w**3/39 + 5*w**2/13 - 2*w/13 + 11. Factor c(i).
2*(i - 1)**5/13
Let h(j) be the third derivative of -j**9/15120 - j**8/2520 - 7*j**5/30 + 2*j**2. Let c(x) be the third derivative of h(x). Factor c(b).
-4*b**2*(b + 2)
Let w(j) be the first derivative of j**6/105 + j**5/35 - j**4/14 - 8*j**3/21 - 4*j**2/7 + 38*j + 56. Let t(s) be the first derivative of w(s). Factor t(z).
2*(z - 2)*(z + 1)**2*(z + 2)/7
Solve -8/5*q**2 - 116/5 + 236/5*q = 0.
1/2, 29
Determine p, given that -33/5*p**2 + 18/5 + 3*p = 0.
-6/11, 1
Let k(q) be the third derivative of 8*q**6/45 - 8*q**5/5 + 9*q**4/2 - 6*q**3 - 68*q**2. Factor k(j).
4*(j - 3)*(4*j - 3)**2/3
Let s be 11/3 - 4/6. Let w = -388/103 + 5140/927. Factor 676/3*h**2 - 104/3*h - 4394/9*h**s + w.
-2*(13*h - 2)**3/9
Let k(g) be the first derivative of -g**6/24 + 19*g**5/20 - 9*g**4/8 + 21. What is h in k(h) = 0?
0, 1, 18
Let m(l) be the second derivative of 2*l**4/15 + 