**3 - 6. Suppose c(a) = 0. Calculate a.
0, 3
Let c = -590/9 + 2977/45. Determine z, given that 3/5*z**5 + 0*z + 0*z**4 + 0 + 0*z**2 - c*z**3 = 0.
-1, 0, 1
Factor 12*y - 1/2*y**2 - 23/2.
-(y - 23)*(y - 1)/2
Suppose 3*y - 5 = h, y + 10 = -0*h - 2*h. Let s(q) = -29*q + 265. Let d be s(9). Determine o, given that -1/3*o + 2/3*o**3 - 1/3*o**5 + 0*o**d + 0 + y*o**2 = 0.
-1, 0, 1
Let j(y) be the first derivative of 4*y - 1/3*y**3 - 11 + 0*y**2. Factor j(h).
-(h - 2)*(h + 2)
Let i(h) be the third derivative of h**6/900 - 7*h**5/450 + 4*h**4/45 - 4*h**3/15 - 109*h**2. Factor i(k).
2*(k - 3)*(k - 2)**2/15
Let z(w) = -w - 1. Let x be z(-1). Let y(g) = g**2 + 6*g**2 - g**2 - 5*g**3 + x*g**3. Let m(l) = -9*l**3 + 11*l**2. Let p(h) = 6*m(h) - 11*y(h). Factor p(n).
n**3
Let q(p) be the third derivative of p**8/112 + p**7/10 + 3*p**6/8 + 13*p**5/20 + p**4/2 - 8*p**2 + 2*p. What is d in q(d) = 0?
-4, -1, 0
Suppose 5*y + 0 = 20. Let l(c) be the third derivative of -1/3*c**y + 0*c + 0*c**3 + 1/15*c**5 - 7*c**2 + 0. Solve l(u) = 0 for u.
0, 2
Suppose x + x = -8, 8 = -2*u - 2*x. Suppose 0 = 2*l - u - 4. Determine q, given that 2 - 4 + 4*q**l + 0*q**2 - 2*q**2 = 0.
-1, 1
Let i(t) be the second derivative of t**7/357 + t**6/51 + t**5/170 - 13*t**4/102 - 2*t**3/51 + 8*t**2/17 + 565*t. Find c, given that i(c) = 0.
-4, -2, -1, 1
Let s(q) be the second derivative of q**5/5 - 2*q**4/3 - 26*q**3/3 - 20*q**2 + 30*q. Find p, given that s(p) = 0.
-2, -1, 5
Let d(q) be the first derivative of 3*q**5 - 5*q**4/4 - 25*q**3/3 + 5*q**2/2 + 10*q + 75. Factor d(b).
5*(b - 1)**2*(b + 1)*(3*b + 2)
Suppose 8*n + 3*v = 12*n - 2, 2*v = -4*n + 12. Factor -1 + 1/4*l**n + l - 1/4*l**3.
-(l - 2)*(l - 1)*(l + 2)/4
Let q(a) be the third derivative of 37*a**5/180 + 3*a**4/8 - 5*a**3/9 - 681*a**2. Factor q(p).
(p + 1)*(37*p - 10)/3
Let p(c) be the third derivative of -c**8/1176 - 2*c**7/735 + c**5/105 + c**4/84 - 20*c**2. Factor p(y).
-2*y*(y - 1)*(y + 1)**3/7
Factor 2*l**4 + 2/3*l**2 - 2/3*l**5 + 0*l + 0 - 2*l**3.
-2*l**2*(l - 1)**3/3
Let x(k) be the first derivative of -k**2/2 + 2*k - 93. Let i be x(0). Find p such that 4/7*p**4 + 0*p**3 - 4/7*p**i + 0 + 2/7*p**5 - 2/7*p = 0.
-1, 0, 1
Let d = -17/133 + 6305/1463. Let y = d - 173/44. Factor 1/4*q**3 + y*q**2 - 1/4*q**4 + 0 - 1/4*q.
-q*(q - 1)**2*(q + 1)/4
Let o = -7 + 10. Factor 3*z**3 - 5*z**o + 6*z - 4*z.
-2*z*(z - 1)*(z + 1)
Let q(h) be the first derivative of 32*h**2 + 16/3*h**3 - 3*h + 1/3*h**4 + 3. Let z(r) be the first derivative of q(r). Determine g, given that z(g) = 0.
-4
Let h be 2/3 + ((-182)/(-6))/13. Determine r so that 2/13 - 6/13*r - 2/13*r**h + 6/13*r**2 = 0.
1
Factor 486/7 + 1244/21*o**2 - 104/21*o**3 + 936/7*o + 2/21*o**4.
2*(o - 27)**2*(o + 1)**2/21
Suppose -34 = -2*t - 28. Let x(n) be the first derivative of 0*n - 1/2*n**4 - 1/6*n**t + 0*n**2 - 3. Factor x(m).
-m**2*(4*m + 1)/2
Suppose 4*a + 10 + 2 = -5*q, -q + 4 = 4*a. Let g(c) be the first derivative of -1/27*c**6 - 1/9*c**a + 3 + 0*c + 8/45*c**5 - 1/3*c**4 + 8/27*c**3. Factor g(d).
-2*d*(d - 1)**4/9
Let y(v) be the first derivative of -v**5/180 + v**4/24 - v**3/9 + 19*v**2/2 + 4. Let f(w) be the second derivative of y(w). Factor f(j).
-(j - 2)*(j - 1)/3
Let q be (-2)/(-13) - 100/(-26). Suppose 5*u**2 - 43*u - q + 19 + 23*u = 0. What is u?
1, 3
Factor 2/9*l**2 - 10/3*l + 0.
2*l*(l - 15)/9
Let o(t) be the third derivative of t**6/1260 + t**5/280 - t**4/84 - 5*t**3/6 - 4*t**2. Let b(s) be the first derivative of o(s). Factor b(x).
(x + 2)*(2*x - 1)/7
Let h(r) be the first derivative of r**6/20 + 9*r**5/40 + r**4/4 - 16*r - 15. Let n(o) be the first derivative of h(o). Solve n(s) = 0.
-2, -1, 0
Suppose 5*m = 4*t - 79, 9*t = 4*t + 4*m + 92. Suppose n - 4 = -j, 2 - 3 = j. Factor f**5 + 0*f**3 - t*f + 2*f**2 + 4*f**3 + 8 - 2*f**4 + 6*f**3 - 3*f**n.
-2*(f - 1)**3*(f + 2)**2
Let i(p) = p**3 - 8*p**2 + 4*p - 2. Let o be i(8). Let l be 2/5 + 228/o. Let 195*n**4 + l*n**2 - 4*n - 28*n**3 - 175*n**4 + 4*n = 0. Calculate n.
0, 2/5, 1
Let s(f) = -f**3 + 12*f**2 - 62*f + 192. Let x be s(7). Determine a so that -2/15*a**x - 6/5*a**5 + 0*a + 0 + 0*a**2 + 4/5*a**4 = 0.
0, 1/3
Find q, given that 7/8*q**3 - 5/4*q**2 + 0 + 3/8*q = 0.
0, 3/7, 1
Let j(h) be the first derivative of -h**7/126 - 2*h**6/45 - 2*h**5/45 + 23*h**3/3 + 20. Let i(z) be the third derivative of j(z). Let i(u) = 0. Calculate u.
-2, -2/5, 0
Suppose -2*a + 0 - 10 = 0, -2*a + 10 = 4*k. Suppose -k*n + 15 = c - 2, 2*n - 5*c - 23 = 0. Let -3*f**5 + n*f**3 - 6*f**3 + 2*f**3 + 3*f**4 = 0. What is f?
0, 1
Factor 10/3*k**2 - 7*k - k**4 - 1/3*k**5 + 2*k**3 + 3.
-(k - 1)**3*(k + 3)**2/3
Let x = -836 + 5854/7. Suppose -4/7 + 2/7*h + x*h**2 = 0. What is h?
-2, 1
Let s be (-399)/63 - (-14)/2. Let b be 4/(-2) - 21/(-9). Find d such that -d - b*d**2 - s = 0.
-2, -1
Let m(o) be the third derivative of -o**8/2016 - o**7/315 - o**6/720 + o**5/36 + o**4/36 - 2*o**3/9 - 69*o**2. Factor m(h).
-(h - 1)**2*(h + 2)**3/6
Suppose 3*s + 5*c - 34 = 0, 5*s = 6*c - 3*c. Find q, given that -4/5*q**4 + 8/5*q**2 + 0*q - 4/5 + 0*q**s = 0.
-1, 1
Factor -3*i**3 + 6*i**3 + 9*i**2 + 36*i**2 + 51*i**2 - 12*i**2 + 81*i.
3*i*(i + 1)*(i + 27)
Let o(k) be the second derivative of k**5/4 + 5*k**4/6 + 2*k - 19. Suppose o(g) = 0. What is g?
-2, 0
Let d(c) be the first derivative of -c**3/18 - c**2/4 + 5*c/3 + 85. Factor d(v).
-(v - 2)*(v + 5)/6
Let x = -1784/385 + 65/14. Let k(i) be the second derivative of 4/33*i**3 - x*i**5 - 1/330*i**6 + 0 + 2/11*i**2 + 1/44*i**4 - 12*i. Factor k(c).
-(c - 2)*(c + 1)**2*(c + 2)/11
Let k be (((-4)/15)/((-132)/(-10)))/((-18)/162). What is x in 0 + 4/11*x + 8/11*x**3 + k*x**4 + 10/11*x**2 = 0?
-2, -1, 0
Let j be (-1)/(-4)*120/45. Factor 0*w + j - 4/3*w**2 + 0*w**3 + 2/3*w**4.
2*(w - 1)**2*(w + 1)**2/3
Factor -2*u + 382 - 382 - 3*u**2 + u**2.
-2*u*(u + 1)
Let k(b) = 5*b**4 - 14*b**3 - 9*b**2 + 10*b + 2. Let f(i) = -26*i**4 + 70*i**3 + 46*i**2 - 50*i - 11. Let u(p) = -4*f(p) - 22*k(p). Solve u(x) = 0.
-1, 0, 2/3, 5
Let -40/3 + 10*u**2 - 2/3*u**4 + 8/3*u + 4/3*u**3 = 0. Calculate u.
-2, 1, 5
Let u be 12/48 + 54/8. Let t(a) = -a + 23. Let y be t(u). Solve -5*l + l - l**2 + 9*l - y + 3*l = 0.
4
Let 776/5 - 772/5*b - 4/5*b**2 = 0. Calculate b.
-194, 1
Let v(m) be the first derivative of 2*m**6/3 - 28*m**5/5 + 19*m**4 - 100*m**3/3 + 32*m**2 - 16*m + 71. Factor v(u).
4*(u - 2)**2*(u - 1)**3
Suppose 2*j + 8*j = -180. Let x = j + 21. Factor 1/3*u**x + 2/3*u**2 + 1/3*u + 0.
u*(u + 1)**2/3
Let k = 37/48 - -9/16. Find g such that 0 + k*g + 13/3*g**3 - g**4 - 16/3*g**2 = 0.
0, 1/3, 2
Let g(k) be the third derivative of 1/660*k**6 + 0*k**3 - 11*k**2 - 1/330*k**5 + 1/1155*k**7 + 0 - 1/132*k**4 + 0*k. Factor g(n).
2*n*(n - 1)*(n + 1)**2/11
Let t(g) be the second derivative of -g**4/4 + 127*g + 1. Factor t(p).
-3*p**2
Let k(c) = 1 + 6*c**2 - 24*c**3 - 4*c**3 - 8*c**2. Let o be k(-1). Solve 0 + 3 + o*b**2 - 30*b**2 = 0 for b.
-1, 1
Let b(w) be the second derivative of 3/10*w**5 + 1/10*w**6 + 0*w**4 - 13*w + 0 - 3/2*w**2 - w**3. Factor b(j).
3*(j - 1)*(j + 1)**3
Let g(w) = -7*w - 5. Let q be g(22). Let n = 163 + q. Factor n + 8/3*y - 4/3*y**2.
-4*(y - 3)*(y + 1)/3
Let a(g) be the first derivative of -3*g**4/32 - 5*g**3/24 - g**2/8 - 37. Factor a(s).
-s*(s + 1)*(3*s + 2)/8
Factor 6 - 15/2*n + 3/2*n**2.
3*(n - 4)*(n - 1)/2
Factor -4 - 24*k**4 - 112*k - 99*k + 4998*k**3 - 12*k - 2577*k**4 + 27*k - 2197*k**2.
-(k - 1)**2*(51*k + 2)**2
Factor -18432/17 + 24/17*y**4 - 1280/17*y**2 + 2/17*y**5 + 10752/17*y - 192/17*y**3.
2*(y - 4)**3*(y + 12)**2/17
Let f(n) be the first derivative of -n**6/7 - 16*n**5/35 + 20*n**3/21 + 3*n**2/7 - 4*n/7 - 42. Solve f(g) = 0 for g.
-2, -1, 1/3, 1
Factor -11/4*i**2 - 1/4*i**3 - 5*i + 8.
-(i - 1)*(i + 4)*(i + 8)/4
Let m(z) be the first derivative of 2*z**3/21 + 5*z**2/7 + 91. Factor m(y).
2*y*(y + 5)/7
Let o be (-4)/(-12)*(0 - -6). Suppose -o*g + 2 + 16 = 0. Let -8 - 14*f**2 + 5 + 5*f**2 + 3*f**3 + g*f = 0. What is f?
1
Suppose -11 = -4*b + 1. Factor 6*i**b + 36*i - 2*i**3 + 12*i**2 + 12*i**2.
4*i*(i + 3)**2
Let v = -1563 + 14101/9. Let u = v + -28/9. Find j, given that -2/3*j**2 + 0 - u*j = 0.
-1, 0
Determine c so that -c**2 - 2*c**5 + 0*c - 3/2*c**4 + 0 + 9/2*c**3 = 0.
-2, 0, 1/4, 1
Find x such that -48*x**2 + 0 + 14/3*x**3 + 4