of 0*l + 1/16*l**4 - 1 - 1/8*l**2 + 1/6*l**3 - h*l**5. Solve v(c) = 0 for c.
-1, 0, 1/2, 1
Let w(o) = 3*o - 1. Let p be w(1). Factor -10*x**3 - 12 + 16*x**2 - 8*x + p*x**4 + 12.
2*x*(x - 2)**2*(x - 1)
Let s(j) = -6*j**4 - 10*j**3 - 14*j**2 - 2*j. Let c(o) = -o**2 - o**4 + 26*o - 46*o + 21*o + o**3. Suppose -5 = -4*m + 3. Let i(u) = m*c(u) - s(u). Factor i(n).
4*n*(n + 1)**3
Let x be ((-31)/(-186))/((-3)/(-54)) - 3. Factor -r + x + 1/3*r**2.
r*(r - 3)/3
Factor 8/13 + 112/13*r - 58/13*r**2.
-2*(r - 2)*(29*r + 2)/13
Let s(n) be the first derivative of -3*n**4/20 - 26*n**3/5 - 127. Determine h so that s(h) = 0.
-26, 0
Let p = -6 - -14. Suppose -p*h = -3*h + 3*s - 1, 0 = -4*h + 5*s + 23. Determine n, given that -2*n**2 - 3 + h*n + 5 - 2 = 0.
0, 1
Let a = -93/20 - -27/5. Let u(q) be the first derivative of 5 + 3/2*q**2 + 3*q - q**3 - a*q**4. Suppose u(k) = 0. Calculate k.
-1, 1
Suppose 2*h = 4*o - 8, 3*o - 4*h = h - 8. Let r be ((-16)/(-112)*7)/(7/1). Factor -r*z**2 - 1/7*z**o + 3/7*z + 2/7 - 3/7*z**3.
-(z - 1)*(z + 1)**2*(z + 2)/7
Suppose 2*w - 50 = -3*w. Determine h so that -8*h - w*h**3 + 20*h**2 - 14*h**4 + 30*h**2 - 18*h**2 = 0.
-2, 0, 2/7, 1
Suppose 42*g + 29/2*g**3 + 7/4*g**4 + 163/4*g**2 + 9 = 0. Calculate g.
-3, -2, -2/7
Let k(s) be the second derivative of -s**9/1134 - s**8/280 - s**7/630 - 5*s**3/6 + 10*s. Let a(y) be the second derivative of k(y). Factor a(r).
-2*r**3*(r + 2)*(4*r + 1)/3
Find y, given that -5/2*y**3 + 5/2*y - 15/2*y**2 + 15/2 = 0.
-3, -1, 1
Let i(r) be the second derivative of -2*r + 1/30*r**4 - 1/15*r**3 + 9 + 0*r**2. Factor i(f).
2*f*(f - 1)/5
Let v(w) be the second derivative of w**4/120 - w**3/12 - 7*w**2/10 - 5*w. Suppose v(t) = 0. Calculate t.
-2, 7
Let l = 7 + -7. Suppose -4*q + 8 = -l*q. Factor 2*o + 0*o**2 - 2*o + o**q + 2*o + 1.
(o + 1)**2
Suppose f + p + 5 = -26, 3*f + 88 = 2*p. Let w be (-96)/(-45) - (-10)/f. Solve 1/5*b**2 + w - 6/5*b = 0.
3
Factor 1/4*k**2 + 11/4*k - 13/2.
(k - 2)*(k + 13)/4
Let y(p) be the second derivative of -1/16*p**4 + 5/8*p**2 + 14*p + 0 - 7/12*p**3. Factor y(j).
-(j + 5)*(3*j - 1)/4
Let l(s) be the second derivative of -2*s**6/15 + 8*s**5/5 - 2*s**4 - 80*s**3/3 - 50*s**2 - 186*s. Factor l(w).
-4*(w - 5)**2*(w + 1)**2
Let z(d) be the third derivative of 0*d + 2/3*d**3 + 31*d**2 + 1/4*d**5 + 0 + 1/60*d**6 - 2/3*d**4 - 1/42*d**7. Factor z(n).
-(n - 1)**2*(n + 2)*(5*n - 2)
Let d(w) be the second derivative of -2*w**7/21 + 16*w**6/15 - 13*w**5/5 + 2*w**4 + 44*w. Suppose d(o) = 0. Calculate o.
0, 1, 6
Let y(b) be the third derivative of -b**7/735 - 4*b**6/105 - 3*b**5/14 + 27*b**4/14 - 21*b**2 - 4. Find z such that y(z) = 0.
-9, 0, 2
Let c(g) be the first derivative of g**3/3 - 9*g**2/2 + 10*g - 7. Let p be c(8). Factor 3*d**3 + 0*d**3 - p*d**2 + 5*d**2.
3*d**2*(d + 1)
Let x be (-6)/9 - ((-11649)/(-1330))/(-11). Let t = x - -1/266. Factor 0 + 2/15*f**3 + t*f**2 - 2/15*f**4 - 2/15*f.
-2*f*(f - 1)**2*(f + 1)/15
Let o be (-1 + 3)/(390/(-52875)). Let j = -271 - o. Find g, given that j*g + 2/13*g**2 + 0 = 0.
-1, 0
Let r = 126/155 + -2/155. Let a be 8/(-10) + 9 + 195/(-25). Let -6/5 + a*o**2 - r*o = 0. Calculate o.
-1, 3
Factor 5*s**4 + 7*s**4 + 712*s**3 - 697*s**3 - 3*s**5.
-3*s**3*(s - 5)*(s + 1)
Let q be (5 + 4 + -3)*(-6)/(-9). Let w be q/(-6) + 23/21. What is c in 3/7*c - w*c**3 + 3/7 - 3/7*c**2 = 0?
-1, 1
Determine z so that 44*z**3 - 80/7*z + 32/7 - 584/7*z**2 = 0.
-2/7, 2/11, 2
Let x(t) = -2*t**2 - 3*t. Let r(p) be the first derivative of p**2/2 + 10. Let j(w) = r(w) + x(w). Factor j(q).
-2*q*(q + 1)
Let m = 87 - 1391/16. Let a(w) be the second derivative of -1/120*w**6 + 7/24*w**3 - 1/4*w**2 + m*w**5 - 3/16*w**4 + 6*w + 0. Factor a(y).
-(y - 2)*(y - 1)**3/4
Let i(u) = -u**2 + 16. Let t be i(4). Let s(r) = 2*r**2 + 6*r + 3. Let m be s(-3). Factor 2/3*q**5 - 2/3*q - 4/3*q**4 + 4/3*q**2 + t*q**m + 0.
2*q*(q - 1)**3*(q + 1)/3
Let g = 370789/3 - 123591. Let l = 0 - 0. Find y such that -2/3*y**4 - g*y**2 - 10/3*y**3 + l - 8/3*y = 0.
-2, -1, 0
Let q = -6 + 6. Suppose q*l - 12 = -3*l. What is n in 5*n**2 + 4*n**3 + 4*n - 8*n**5 - 24*n**2 + 2 + 14*n**l + 3*n**2 = 0?
-1, -1/4, 1
Let f(u) be the second derivative of 5/4*u**4 + 0 - 11*u + 0*u**3 + 1/8*u**5 + 0*u**2. Suppose f(q) = 0. What is q?
-6, 0
Let r(v) be the second derivative of v**7/60 - v**6/15 - v**5/15 - v**3 + 9*v. Let i(a) be the second derivative of r(a). Factor i(b).
2*b*(b - 2)*(7*b + 2)
Solve 16*a - 1/2*a**3 + 1152 - 23/2*a**2 = 0 for a.
-16, 9
Factor 2*g**2 + 25*g + 21*g - 32*g + 24.
2*(g + 3)*(g + 4)
Let v(h) = -4*h**2 + 2*h + 2. Let r be (-10 + -8)*(-1)/(-2). Let o = -11 - r. Let u(b) = -b**2 + b + 1. Let t(y) = o*v(y) + 4*u(y). Factor t(d).
4*d**2
Solve -6/7*x + 0 + 51/7*x**2 = 0 for x.
0, 2/17
Let x(n) = -3*n**5 + 4*n**3 - n - 4. Let k(z) = 2 - 28*z + 27*z + 0*z**2 + z**2 + z**5 - 1. Let b(p) = -2*k(p) - x(p). Let b(y) = 0. What is y?
-1, 1, 2
Let v(h) = 8*h - 8. Let t be v(4). Suppose -5*y - 3*n + 25 = -7, -3*y + 2*n + 4 = 0. Factor 2*a + t*a**2 - 27*a**2 + y*a.
-3*a*(a - 2)
Factor -1/3 + 1/9*f**2 - 2/9*f.
(f - 3)*(f + 1)/9
Let a(y) be the first derivative of -3*y**7/280 - 2*y**6/45 - y**5/24 + y**4/12 - 3*y**3 - 8. Let n(l) be the third derivative of a(l). What is q in n(q) = 0?
-1, 2/9
Suppose -3*w - w + 4*t = 0, -3*w + 5 = 2*t. Let o be 3 - w*(-3 + 0). Determine n, given that -6*n**2 + 3 + 3*n**5 + 0 + 0*n**4 - o*n**3 + 3*n + 3*n**4 = 0.
-1, 1
Let q(k) be the first derivative of 2*k**7/21 - 2*k**6/5 + 3*k**5/5 - k**4/3 - 18*k + 9. Let t(x) be the first derivative of q(x). Determine d so that t(d) = 0.
0, 1
Let h be ((-72)/(-20) + -4)*25. Let g(v) = -2*v - 9. Let r be g(h). Factor 6 + r*j**2 + 6*j**3 + 10*j**2 - 7*j**3 + 7*j**3 + 21*j.
3*(j + 1)*(j + 2)*(2*j + 1)
Let k(s) = 24*s**2 + 66*s - 15. Let y be k(-3). Factor -30/11*i**2 + 18/11*i**y + 14/11*i + 0 - 2/11*i**4.
-2*i*(i - 7)*(i - 1)**2/11
Determine r, given that 32*r**2 - 254 - 294*r**4 + 3*r**3 + 254 + 12*r + 289*r**4 = 0.
-2, -2/5, 0, 3
Let i(h) be the third derivative of -h**10/15120 + h**9/3780 - h**7/630 + h**6/360 - h**4/24 - 27*h**2. Let d(q) be the second derivative of i(q). Factor d(z).
-2*z*(z - 1)**3*(z + 1)
Suppose 6*q - 335 = q. Let n = -64 + q. Factor 2/7*u**2 + 2/7*u**n - 4/7*u + 0.
2*u*(u - 1)*(u + 2)/7
Let c = -2/28451 + 1024262/369863. Find m such that -2/13*m**5 + 10/13*m**4 + c*m + 0 - 42/13*m**2 - 2/13*m**3 = 0.
-2, 0, 1, 3
Suppose 4/3 + 16/9*j + 4/9*j**2 = 0. Calculate j.
-3, -1
Suppose -11*a + 71 - 5 = 0. Factor -27*y**2 + a + 22*y**3 + 3*y**4 - 25*y**3 - 33*y - 18.
3*(y - 4)*(y + 1)**3
Let g(b) be the second derivative of -1/30*b**4 + 3/5*b**2 - 15*b + 0 + 2/15*b**3. Factor g(w).
-2*(w - 3)*(w + 1)/5
Let r be 2/(-16) + (5178/336 - 15). Factor 0*c**2 + 3/7*c - r - 1/7*c**3.
-(c - 1)**2*(c + 2)/7
Factor 2*l**3 - 42*l**2 + 2*l**5 + 10*l**4 - 93*l + 11*l + 46*l.
2*l*(l - 2)*(l + 1)*(l + 3)**2
Let b(t) be the third derivative of t**5/12 - 5*t**4/24 - 5*t**3 + 2*t**2 - 18*t. Factor b(h).
5*(h - 3)*(h + 2)
Let d(p) = -5*p**2 - 5*p + 9. Let r(q) = 7*q**2 + 4*q - 8. Suppose 5*y - 2 + 22 = 0. Let i(w) = y*d(w) - 3*r(w). What is h in i(h) = 0?
2, 6
Find a, given that -33 - 17*a**3 - 76*a - 69*a**2 - a**2 + 25 = 0.
-2, -2/17
Let q(f) = f**3 + 6*f**2 - 6*f - 9. Suppose y = 2*y + 6. Let t be q(y). Factor t - 3*x**3 - 27 + 3*x.
-3*x*(x - 1)*(x + 1)
Let u(n) be the second derivative of -38*n + 0 - 7/5*n**2 + 1/30*n**4 - 2/5*n**3. Find z, given that u(z) = 0.
-1, 7
Let d(v) be the first derivative of v**7/70 - v**6/40 - 3*v**5/10 - 31*v**2/2 - 24. Let c(f) be the second derivative of d(f). Factor c(h).
3*h**2*(h - 3)*(h + 2)
Let b = -9/5 - -91/45. Factor 2/9*i + b*i**2 + 0.
2*i*(i + 1)/9
Let w be (17/(-36) - 66/(-297)) + 1. Factor -w*z**2 - 1/4*z**3 - 1/2*z + 0.
-z*(z + 1)*(z + 2)/4
Let d be -3 + (-195)/(-144) - 5/(-3). Let p(c) be the third derivative of -1/20*c**6 + 0 + 1/120*c**5 + d*c**4 + 2*c**2 + 0*c + 0*c**3. Factor p(v).
-v*(3*v - 1)*(4*v + 1)/2
Let i(p) be the third derivative of p**6/168 - p**5/70 + p**4/168 + 132*p**2. Determine j so that i(j) = 0.
0, 1/5, 1
Suppose 3*m + 17 = 4*c, -2*m + m = 3*c - 3. Let -4/7*z - 2/7*z**c - 2/7 = 0. What is z?
-1
Let x(i) = 109*i - 434. Let f be x(4). Let s be ((-27)/(-12) - 2) + 2. Factor 12*a**f + 3*a**3 + s 