/9*u**3. Determine c so that x(c) = 0.
-1, 0
Let x be 4/26*(-9)/(-144). Let j = 211/312 - x. Find z, given that 0*z**2 + 2/3*z + 0 - j*z**3 = 0.
-1, 0, 1
Suppose 1131*j = 1132*j. Factor 1/2*y**5 + 0 - 1/3*y**2 + 7/6*y**3 - 4/3*y**4 + j*y.
y**2*(y - 1)**2*(3*y - 2)/6
Suppose 45 = 6*q - q. What is o in -o**3 - q*o + 9*o - 6*o**2 - 2*o**3 = 0?
-2, 0
Let w = 44/75 + 2/25. Let q(d) = -d + 4. Let b be q(4). Factor -w*j - 5/3*j**2 + b.
-j*(5*j + 2)/3
Let k be (-3002)/(-361) + 8/(-1). Determine x, given that -4/19 + k*x**2 - 2/19*x**4 - 2/19*x + 2/19*x**3 = 0.
-1, 1, 2
Let c(j) be the second derivative of j**5/30 - j**4/3 + j**3 + 7*j. Find v such that c(v) = 0.
0, 3
Let v(k) be the second derivative of 1/30*k**5 + 9*k + 1/3*k**2 - 1/18*k**4 + 0 - 1/9*k**3. Factor v(b).
2*(b - 1)**2*(b + 1)/3
Let i(z) be the third derivative of z**5/300 + 3*z**4/20 + 27*z**3/10 - 4*z**2. Determine j, given that i(j) = 0.
-9
Factor 3*z - 15 + 2*z**2 - z + 4 - 1.
2*(z - 2)*(z + 3)
Factor -12/5*f**3 + 0 + 0*f + 0*f**2 + 3/5*f**5 + 0*f**4.
3*f**3*(f - 2)*(f + 2)/5
Let y(r) be the third derivative of -1/3*r**3 + 0 - 3*r**2 + 7/24*r**4 + 0*r + 1/15*r**5. Solve y(c) = 0 for c.
-2, 1/4
Let d = -5 + 7. Let n be 2/7 - 24/(-14). Determine w so that 0*w**2 - w - 2 + 2*w**d - w**n = 0.
-1, 2
Factor -1/4*n**3 - n**2 + 9/2 + 3/4*n.
-(n - 2)*(n + 3)**2/4
Suppose d - 4*g = 13, 0 = 5*d - d + 2*g + 2. Let v be (-1)/(-2)*4 + d. Let 5 + 5*f**5 - 3 + 2*f - v*f**5 - 4*f**2 + 2*f**4 - 4*f**3 = 0. Calculate f.
-1, 1
Let z(n) be the third derivative of n**6/30 + 2*n**5/15 + n**4/6 + 6*n**2. Factor z(x).
4*x*(x + 1)**2
Let q(k) = 2*k**2 - 3*k + 6. Let w be q(5). Let h = w + -16. Solve 5*z + 5*z**2 + 13*z - 2*z + 4 - h*z**3 = 0 for z.
-2/5, 1
Let i be 344/72 - 2/(-9). Suppose 0 = 2*p + 2, -3*p = i*j - p - 23. Factor -6/5*l**4 + 2/5 - 4/5*l**3 + 6/5*l + 4/5*l**2 - 2/5*l**j.
-2*(l - 1)*(l + 1)**4/5
Suppose 3*f + 16 = 7*f. Suppose -2*p + 13 = -5*h - 16, f*p + 2 = -2*h. Find o such that 2/3 - 4/3*o**p + 7/3*o = 0.
-1/4, 2
Let k(m) = -6*m**4 - 6*m**3 + 2*m**2 + 10*m + 2. Let j(o) = 25*o**4 + 23*o**3 - 7*o**2 - 41*o - 9. Let n(q) = 2*j(q) + 9*k(q). Find u, given that n(u) = 0.
-2, -1, 0, 1
What is t in -4*t**3 + 2*t**3 - 6*t**2 + 3*t**5 - t**3 + 6*t**4 = 0?
-2, -1, 0, 1
Let x(q) be the first derivative of q**5/210 + q**4/42 + q**3/21 + q**2 + 4. Let k(s) be the second derivative of x(s). Factor k(w).
2*(w + 1)**2/7
Let f(a) be the third derivative of -2*a**2 + 1/210*a**7 + 0*a**3 - 1/3*a**4 + 1/5*a**5 - 1/20*a**6 + 0*a + 0. Factor f(p).
p*(p - 2)**3
Let k be (-2604)/10*1/4. Let a = k + 131/2. Factor 0*u - a + 2/5*u**2.
2*(u - 1)*(u + 1)/5
Let k(o) = o**3 + 8*o**2 + 8. Let z be k(-8). Suppose -3*q + 12 = t - z*q, 2*t - 4*q - 12 = 0. Factor x**2 + x + x + 2*x**t - x + 3*x**3 + x**4.
x*(x + 1)**3
Let s(w) = 8*w**3 - w**2 + w + 1. Let p(d) = -2*d**3. Let q = -8 + 6. Let v(g) = q*s(g) - 9*p(g). Factor v(k).
2*(k - 1)*(k + 1)**2
Factor 3*t**2 + 2*t**4 + 4*t**2 - 5*t**2 + 4*t**3.
2*t**2*(t + 1)**2
Factor 4*s**2 + 4*s**3 + 7*s**3 - 4*s**4 - 4*s**5 - 7*s**3.
-4*s**2*(s - 1)*(s + 1)**2
Suppose 0 = -2*r - 1 + 5. Determine p, given that -2 - 10*p**4 - 2*p**5 + 10*p + 20*p**3 - 20*p**r + 3*p**5 + p**5 = 0.
1
Suppose 2*m = 2*w - 2, -2*m + 3*w - 4*w = -1. Let f(l) = 5*l**2 - 14*l + 1. Let y be f(3). Determine j so that m*j**2 + 6*j**2 - y*j - 8*j**2 = 0.
-2, 0
Let c(l) be the second derivative of 0*l**3 + 0 - 3/80*l**5 + 1/16*l**4 + 0*l**2 - 6*l. Determine i, given that c(i) = 0.
0, 1
Let x(a) be the first derivative of -a**7/84 + a**6/24 - 3*a**5/80 - a**4/48 + a**3/24 - 3*a + 1. Let t(l) be the first derivative of x(l). Factor t(w).
-w*(w - 1)**3*(2*w + 1)/4
What is d in -4*d + 6 - 4*d**2 + 0*d**2 - 4*d + 6*d**2 = 0?
1, 3
Let a(h) be the third derivative of h**9/5040 - h**8/1120 + h**7/840 - 5*h**4/24 + h**2. Let b(n) be the second derivative of a(n). Solve b(x) = 0 for x.
0, 1
Factor -1250/7*c + 0 - 2/7*c**5 + 40/7*c**4 - 300/7*c**3 + 1000/7*c**2.
-2*c*(c - 5)**4/7
Let s(o) = -o**3 - 8*o**2 - o + 4. Let u be s(-8). Find p, given that -4*p**5 - u*p**5 - 9*p**3 + 15*p**3 - 20*p**4 - 10*p**3 = 0.
-1, -1/4, 0
Let d(r) be the second derivative of -2*r + 0*r**2 + 0*r**4 - 1/10*r**5 + 1/3*r**3 + 0. Factor d(a).
-2*a*(a - 1)*(a + 1)
Let p(d) be the first derivative of -3*d**2/2 + 8*d + 3. Let v be p(-6). Solve 8*b**2 - 8*b + 5*b**5 + 16*b**4 - 4*b**4 - v*b**3 + 16*b**2 - 7*b**5 = 0.
0, 1, 2
Let s(d) be the first derivative of -d**5 + 5*d**4/2 - 5*d**3/3 - 17. Find t, given that s(t) = 0.
0, 1
Factor -39/5*t**2 - 3/5 - 24/5*t - 18/5*t**3.
-3*(t + 1)**2*(6*t + 1)/5
Let c = 4/511 + -58789/3066. Let m = 80/3 + c. Let 21/2*v + m*v**3 + 27/2*v**2 + 3 + 3/2*v**4 = 0. What is v?
-2, -1
Suppose 10*q = 182 - 162. Suppose -2/3 + u + 5/3*u**q = 0. Calculate u.
-1, 2/5
Let i(o) be the second derivative of o**4/3 + 20*o**3/3 + 18*o**2 - 22*o + 1. Determine c so that i(c) = 0.
-9, -1
Let d = -190/7 - -584/21. Solve 0 - 2/3*o**4 + 0*o - d*o**2 + 4/3*o**3 = 0 for o.
0, 1
Let j(k) = 6*k - 78. Let i be j(13). Let f(o) be the first derivative of 3 - 2/9*o**3 + 1/6*o**4 + 0*o + i*o**2. Solve f(d) = 0 for d.
0, 1
Suppose 0*n - n = -4. Suppose -7*m**3 - 3*m**n - 3*m**2 + 3*m + 0 - 3 + 5 = 0. Calculate m.
-1, 2/3
Let f(u) = -u**2 - u - 1. Let z(y) = -2*y**3 + 3*y**2 + 3*y - 1. Let c be ((2 - 4) + 1)/(-1). Let m(b) = c*z(b) + f(b). Factor m(a).
-2*(a - 1)**2*(a + 1)
Let y(r) = -3*r**3 + 3*r**2 - 2*r. Suppose 2*u = 9 - 3. Let l(i) = -4*i**3 + 3*i**2 - 2*i. Let v(a) = u*y(a) - 2*l(a). Determine m, given that v(m) = 0.
0, 1, 2
Let q(l) be the third derivative of -l**8/2352 + l**7/1470 + l**6/420 - l**5/210 - l**4/168 + l**3/42 - 15*l**2. Find t such that q(t) = 0.
-1, 1
Let m be (-2)/(-4)*(-3 - -11). Factor -3*d + 12*d**4 + 3*d**2 - 3*d**3 + 2*d - 11*d**m.
d*(d - 1)**3
Let g(k) = k**4 - k**3 + 3*k**2 - 7*k + 1. Let z(r) = -r**4 - 2*r**2 + 8*r - 1. Let n(a) = 4*g(a) + 3*z(a). Factor n(h).
(h - 1)**4
Determine m so that 6 + 27*m**5 + 156*m**3 - 18*m**3 - 9*m + 12*m - 12*m**2 - 102*m**4 - 60*m**2 = 0.
-2/9, 1
What is c in 8/7*c - 2/7*c**4 + 0 + 12/7*c**3 - 18/7*c**2 = 0?
0, 1, 4
Let j be (-10)/60*72/(-30). Suppose 1/5*l**4 - 3/5*l**2 + 8/5*l - 4/5 - j*l**3 = 0. Calculate l.
-2, 1, 2
Solve 8*g + 2*g**4 - 4*g - 5*g + 14*g**3 + 22*g**2 + 11*g = 0 for g.
-5, -1, 0
Let t be (-2)/12 - 6/(-36). Let p(u) be the second derivative of -2/15*u**4 - 1/50*u**5 - 1/3*u**3 + t - 2/5*u**2 - u. Factor p(i).
-2*(i + 1)**2*(i + 2)/5
Let n(h) be the second derivative of h**5/110 - h**4/66 - 5*h**3/33 - 3*h**2/11 + 15*h. Factor n(u).
2*(u - 3)*(u + 1)**2/11
Let q be (10/(-6))/((-5)/(-15)). Let j be 2/(-5)*q/1. Factor 2 - 6*s**2 + 0*s**2 + 2*s**4 + j*s**2.
2*(s - 1)**2*(s + 1)**2
Let z be 1*2 - (-6)/6. Factor -6*a**4 + z*a**3 - 2 + 9*a**5 - 6*a**5 + 2.
3*a**3*(a - 1)**2
Let n(c) = -2*c**3 + c**2 + 3*c - 2. Let t(f) = f - 1. Let l(y) = n(y) - 2*t(y). Factor l(q).
-q*(q - 1)*(2*q + 1)
Let s(l) = 26*l**3 - 61*l**2 + 39*l + 1. Suppose -8*w + 3*w - 25 = 0. Let a(u) = 13*u**3 - 31*u**2 + 20*u + 1. Let y(j) = w*a(j) + 3*s(j). Factor y(x).
(x - 1)**2*(13*x - 2)
Let v(h) be the third derivative of 0*h + 0 - 2/9*h**3 - 2*h**2 - 13/90*h**6 - 1/168*h**8 - 4/15*h**5 - 2/45*h**7 - 11/36*h**4. Let v(a) = 0. What is a?
-1, -2/3
Let j = 0 + 19. Suppose 5*v = 2*w + j, 0*v = -3*w + 4*v - 11. Factor -2 - w*a**5 + 6*a**5 - 5*a**4 + 2 + 2*a**3.
a**3*(a - 1)*(3*a - 2)
Suppose -r + 5 = -0*r. Suppose -8 = 4*w + 4*x, r*x + 37 = 2*w + 13. Suppose h**w + h**3 - 3 + 3 = 0. What is h?
-1, 0
Suppose -h - h = 0. Let z(b) be the second derivative of -1/12*b**4 + 1/6*b**3 + 0*b**2 + 3*b + h. Let z(g) = 0. Calculate g.
0, 1
Factor -2/23*z**4 - 6/23*z - 10/23*z**3 + 0 - 14/23*z**2.
-2*z*(z + 1)**2*(z + 3)/23
Let i(y) be the third derivative of -y**9/16632 - y**8/3080 - y**7/1540 - y**6/1980 + y**3/3 - 3*y**2. Let v(j) be the first derivative of i(j). Factor v(h).
-2*h**2*(h + 1)**3/11
Factor 16/9 + 1/9*m**4 + 1/9*m**2 - 2/3*m**3 + 8/3*m.
(m - 4)**2*(m + 1)**2/9
Let w(y) be the second derivative of 5*y**7/189 - 4*y**6/45 + y**5/10 - y**4/27 + 9*y. Factor w(f).
2*f**2*(f - 1)**2*(5*f - 2)/9
Suppose 4*s + 5*y = 2, -2*y + 4 - 23 = -5*s. Suppose 3*w = -s*w + 12. Determine j so that 0*j + 1/3 - 1/3*j**w = 0.
-