+ 8*y + 24. Let h(o) = 2*o**2 + 12*o + 8. Let v(q) = -2*c(q) + 3*h(q). Factor v(w).
-2*(w - 4)*(w + 1)**2
Let g(f) = f**2 - 388*f - 12312. Let x(u) = 9*u**2 - 3105*u - 98502. Let t(l) = 33*g(l) - 4*x(l). Determine r so that t(r) = 0.
-64
Let b(v) be the third derivative of -v**5/15 + 7*v**4/2 + 27*v**2. What is k in b(k) = 0?
0, 21
Let d(b) be the third derivative of 13*b**6/660 - 17*b**5/330 + b**4/33 - 26*b**2. Factor d(h).
2*h*(h - 1)*(13*h - 4)/11
Let q(a) be the third derivative of -a**8/112 - 3*a**7/35 - a**6/5 - 59*a**2. Let q(o) = 0. Calculate o.
-4, -2, 0
Suppose 4/3 - 2*b - 2/3*b**5 + 0*b**4 - 4/3*b**2 + 8/3*b**3 = 0. Calculate b.
-2, -1, 1
Let l(c) be the first derivative of -2*c**6 - 56*c**5/5 + 67*c**4 + 392*c**3/3 - 440*c**2 - 672*c - 366. Suppose l(r) = 0. What is r?
-7, -2, -2/3, 2, 3
Factor 0 + 2/9*k**5 + 32*k**3 + 16/3*k**4 + 0*k + 0*k**2.
2*k**3*(k + 12)**2/9
Let x(b) = 2*b**2 + 23*b + 14. Let f be x(-11). Factor 9*c**f + 10*c - 4*c**3 - 6*c**3 - c**3 - 8*c**2.
-2*c*(c - 1)*(c + 5)
Let k = -41 - -43. Determine y so that -2*y**k - 5*y**2 - 2*y - 3*y**2 + 12*y**2 = 0.
0, 1
Factor 11/8*x - 1/8*x**2 - 3.
-(x - 8)*(x - 3)/8
Let r(y) = 47*y**4 - 142*y**3 + 12*y**2 + 8*y - 4. Let k(o) = -3*o**4 - o**2 - 2*o + 1. Let l(p) = -20*k(p) - 5*r(p). Find t, given that l(t) = 0.
0, 2/35, 4
Let b(r) = -9*r**2 + 21. Suppose -5*v = 2*l + l, -l - 8 = -v. Let z(j) = 5*j**2 - 11. Let y(k) = l*z(k) - 3*b(k). Determine a, given that y(a) = 0.
-2, 2
Let m(o) = o**2 - o - 16. Let u be m(-4). Let -3*a**3 - 4*a**3 - 16*a + 24*a**3 - 4*a**u - 5*a**3 = 0. Calculate a.
-1, 0, 2
Let p(w) be the third derivative of -1/180*w**5 + 26*w**2 + 0 + 0*w + 0*w**3 + 1/360*w**6 - 1/36*w**4. Factor p(m).
m*(m - 2)*(m + 1)/3
Find h, given that -27/8*h**2 + 75/8 + 3/8*h**3 + 45/8*h = 0.
-1, 5
Let m(b) be the third derivative of b**6/300 - 2*b**5/75 - b**4/60 + 4*b**3/15 + 2*b**2 - 35*b. Factor m(t).
2*(t - 4)*(t - 1)*(t + 1)/5
Let u(z) = -2*z**2 - 56*z + 668. Let i be u(-37). Let 0 + 2/3*f**i - 1/3*f**3 + 0*f = 0. What is f?
0, 2
Let w(k) = k**3 - 4*k**2 - 11*k + 3. Let q(r) = -r + 3. Let s be q(7). Let n(a) = -4*a**2 - 12*a + 4. Let o(b) = s*w(b) + 3*n(b). What is y in o(y) = 0?
-1, 0, 2
Let v(f) be the second derivative of 1/21*f**4 + 0*f**2 + 0 - 2/21*f**3 + 1/20*f**5 + 1/98*f**7 + 23*f - 1/21*f**6. Solve v(a) = 0 for a.
-2/3, 0, 1, 2
Let s be 20/(-15)*3/(-2). Let k be 3 + ((-65)/20 - -1). Factor -k + 11/4*i + i**s.
(i + 3)*(4*i - 1)/4
Let y(l) = 104*l - 12*l**3 - 3*l**2 - 92*l - 14*l**2. Let w(k) = -4*k**3 - 6*k**2 + 4*k. Let v(p) = -17*w(p) + 6*y(p). Let v(n) = 0. Calculate n.
-1, 0, 1
Let t = 4 + -2. Suppose -z**t - 5*z + 6*z**2 + 2 - z**2 + 10*z**3 - 11*z**3 = 0. Calculate z.
1, 2
Let f(l) be the first derivative of -1/6*l**3 + 1 + 0*l**2 + 1/2*l. Factor f(z).
-(z - 1)*(z + 1)/2
Let i be -2 + (2 + -4)*-5. Let x(c) = 4*c - 32. Let q be x(i). Solve q*f + 0 + 4/7*f**2 - 2/7*f**3 = 0.
0, 2
Let p(z) be the third derivative of 0*z**3 - 1/5*z**5 + 0*z + 0*z**4 + 0 + 4*z**2. Let x(j) = j**2. Let m(k) = -p(k) - 9*x(k). Factor m(h).
3*h**2
Let u(f) be the third derivative of -f**7/630 + 7*f**6/180 - 11*f**5/60 - 14*f**4/9 - 32*f**3/9 - 2*f**2 + 14. Factor u(a).
-(a - 8)**2*(a + 1)**2/3
Suppose 4*y = 7*d - d - 10, -3 = -d. Suppose 0 + 3/2*c - 9/4*c**y + 3/4*c**3 = 0. What is c?
0, 1, 2
Let s(v) be the second derivative of -v**3/6 + v**2/2 - 7*v. Let g be s(-4). What is c in -c**2 + c + g - 3 - 2 = 0?
0, 1
Suppose -2*g + 2*m + 6 = -0*g, 5*g = -2*m + 15. Suppose -4*r - 1 = 4*c - g*r, -r - 1 = 2*c. Suppose c - 1/5*o**2 - 1/5*o = 0. What is o?
-1, 0
Factor 14/5*q**3 + 16 - 122/5*q**2 + 244/5*q.
2*(q - 5)*(q - 4)*(7*q + 2)/5
Let m(u) be the second derivative of -u**5/110 + u**4 - 33*u**3 - 765*u. Suppose m(i) = 0. What is i?
0, 33
Let d = -23 - -26. Factor 3*y**4 + 5*y**4 + 2 - d*y**2 - 7*y**4 + 0*y**2 - y**3 + y.
(y - 2)*(y - 1)*(y + 1)**2
Suppose 4*y = 16, -5*r - 3*y - 118 = -0*r. Let m be 8/(-36) - r/36. Factor -1/2*z**2 + m*z**4 - 1/4*z**5 + 0*z**3 + 1/4*z + 0.
-z*(z - 1)**3*(z + 1)/4
Suppose -13 + 9 = -z. Let x(u) be the second derivative of 0 + 1/12*u**z + 6*u + u**2 - 1/2*u**3. What is m in x(m) = 0?
1, 2
Determine l, given that -8/7*l**2 - 4/7*l**4 - 32/7*l + 20/7*l**3 + 0 = 0.
-1, 0, 2, 4
Suppose 23 = 3*d - 4*q, -3*d - 6 = 3*q + 6. Let u be 1 - (4 + (-8)/d). Factor -4/9*j**2 + 0 + 4/9*j**4 + 2/9*j - 2/9*j**u + 0*j**3.
-2*j*(j - 1)**3*(j + 1)/9
Let w = -91/18 + 1597/315. Let y(x) be the second derivative of 2/7*x**2 + w*x**5 - 1/21*x**3 + 0 - 8*x - 1/21*x**4. Factor y(m).
2*(m - 2)*(m - 1)*(m + 1)/7
Let l(y) be the first derivative of y**5/100 - 11*y**2/2 + 14. Let b(q) be the second derivative of l(q). Let b(x) = 0. What is x?
0
Suppose -2*t + 0*r = -2*r - 14, 35 = 5*t - 2*r. Factor 18*w - 1 + w**2 - w**3 - t*w - 10*w.
-(w - 1)**2*(w + 1)
Let s be (-4)/(-6)*90/(-150)*(-70)/24. Let q be (-2)/4 + 1 - -1. Solve q*p**2 + 1/6 + s*p**3 + 5/6*p + 1/3*p**4 = 0.
-1, -1/2
Let k(v) be the second derivative of -1/3*v**6 + 1/21*v**7 - 5/3*v**4 - v**2 + 0 + 5/3*v**3 + v**5 - 2*v. Factor k(n).
2*(n - 1)**5
Let n(a) = -a**2 - 4*a. Let k = 20 - 15. Suppose -7*j + k*j = -18. Let i(d) = 3*d**2 + 9*d. Let o(z) = j*n(z) + 4*i(z). Determine b, given that o(b) = 0.
0
Suppose -2*j = 6*j - 16. Suppose -56*t - 259*t**2 + 123 + 73 + 263*t**j = 0. Calculate t.
7
Let t be (-80)/110*18/(-8). Factor 14/11*p**2 + t + 30/11*p + 2/11*p**3.
2*(p + 1)*(p + 3)**2/11
Let v be (-2 - -5)/((-5)/10*-2). Let c(o) be the first derivative of 0*o**v - 1/13*o**4 + 2/65*o**5 + 2/13*o**2 - 2/13*o + 5. Factor c(x).
2*(x - 1)**3*(x + 1)/13
Let s(w) be the second derivative of -w**7/210 + 7*w**6/150 + 11*w**5/100 - 23*w**4/60 - w**3/3 + 8*w**2/5 - 325*w. Determine l, given that s(l) = 0.
-2, -1, 1, 8
Let l be (80/(-42) + 2)*(64 + -61). Factor 3/7*a**3 - 1/7*a + 0 + l*a**2.
a*(a + 1)*(3*a - 1)/7
Let m = -3426/17 - -24084/119. Factor 60/7*w**2 - 48/7*w + 0 - m*w**4 - 6/7*w**3.
-6*w*(w - 2)*(w - 1)*(w + 4)/7
Let y(l) be the third derivative of l**6/120 - l**5/6 + l**4/2 + 12*l**3 + 2*l**2 - 18. Suppose y(t) = 0. What is t?
-2, 6
Suppose j = -3*p + 4, 2*j - 2*p - 2 + 26 = 0. Let d = 10 + j. Factor b**4 - d*b**3 - 32*b**2 + 32*b**2.
b**3*(b - 2)
Suppose -3 = 64*y + 6 - 9. Factor y - 6/7*l**2 - 3/7*l - 3/7*l**3.
-3*l*(l + 1)**2/7
Let t(y) be the second derivative of -y**6/1440 - y**5/96 - 17*y**3/6 - 9*y. Let p(x) be the second derivative of t(x). Factor p(z).
-z*(z + 5)/4
Let i(n) = -5*n - 13. Let d be i(-3). Find p, given that 2 - 3 - 15*p**3 + 25*p + 11 - 20*p**d = 0.
-2, -1/3, 1
Let f(d) be the third derivative of -1/330*d**5 + 0*d**3 + 0*d - 23*d**2 + 0 - 5/132*d**4. Let f(a) = 0. What is a?
-5, 0
Let c = 14649/35 + -2087/5. Let 0*v + 2/7*v**5 + 0 + 10/7*v**3 + c*v**4 + 4/7*v**2 = 0. Calculate v.
-2, -1, 0
Let n(b) be the third derivative of 2*b**7/21 - 4*b**6/5 + 12*b**5/5 - 8*b**4/3 + 485*b**2. Determine w so that n(w) = 0.
0, 4/5, 2
Suppose 7*p - 12 = -3*y + 3*p, p = 3. Suppose 53*w - 1156 + 997 = 0. Factor 0*b + 0*b**2 + 0*b**w + y - 1/4*b**4.
-b**4/4
Let p(c) be the third derivative of -3*c**6/280 + c**5/7 - 39*c**4/56 + 9*c**3/7 - 112*c**2. Factor p(z).
-3*(z - 3)**2*(3*z - 2)/7
Suppose 2*o + 24 = 5*l, -65 = -5*l - 4*o - 53. Find i, given that 4/3*i**3 + 0*i + 0 + 0*i**2 + 10/3*i**l = 0.
-2/5, 0
Let u(b) be the third derivative of -b**8/336 - 11*b**7/210 - 19*b**6/60 - 13*b**5/15 - b**4 - 3*b**2 - 1. Let u(z) = 0. Calculate z.
-6, -2, -1, 0
Let o be (-3)/(25/(-20)*108/60). Factor 64/3 - 28/3*g**2 - 32/3*g - o*g**3.
-4*(g - 1)*(g + 4)**2/3
Let u(j) = -11*j + 115. Let z be u(9). Let v be z/(9 - 2 - 1). Find o such that 4/9*o**4 + 4/9 + 16/9*o**3 + 16/9*o + v*o**2 = 0.
-1
Let y(l) be the first derivative of 3*l**5/35 + 11*l**4/7 + 67*l**3/7 + 18*l**2 - 108*l/7 + 344. Factor y(z).
(z + 3)*(z + 6)**2*(3*z - 1)/7
Factor -2/3*w**2 - 1/3 + 1/6*w**3 + 5/6*w.
(w - 2)*(w - 1)**2/6
Solve 61/4*i**2 - 9/2*i + 0 + 7/4*i**3 = 0.
-9, 0, 2/7
Let c(x) be the first derivative of 8*x**6/5 - 504*x**5/25 + 603*x**4/20 + 133*x**3/5 + 27*x**2/5 - 387. What is s in c(s) = 0?
-1/4, 0, 2, 9
Let d(h) = -3*h**5 - 16*h**4 - 4*h**3 + 4*h**2 + 4*h. Let z(r) = r**4 - 2*r**3 - r**2 - r. Let y(c) = d(c) + 4*z(c). Factor y(p).
-3*p**3*(p + 2)**2
D