)*(a + 1)
Determine b, given that 1/3*b**5 + 4/3*b**3 + 0*b + 4/3*b**4 + 0*b**2 + 0 = 0.
-2, 0
Let j be (49/(-14))/((-2)/(-1252)). Let h = 6670/3 + j. Factor -4/3 - h*g**2 - 12*g - 24*g**3 - 16/3*g**4.
-(g + 2)**2*(4*g + 1)**2/3
Let g(t) = t**4 + t**3 + 4*t**2 + 4*t. Let p be 11/3 - 1/(-3). Suppose 0 = -0*h + 2*h + p. Let f(s) = -s**2 - s. Let u(m) = h*g(m) - 10*f(m). Factor u(r).
-2*r*(r - 1)*(r + 1)**2
Let d be 3 + 5/(10/(-6)). Suppose d = 3*f + 4 - 10. Let 0*r + 1/4*r**f + 0 = 0. What is r?
0
Find x such that x**3 - 4*x**2 - 1 - 1/2*x**5 + 7/2*x + x**4 = 0.
-2, 1
Let s(w) be the second derivative of -w**5/60 + w**4/18 + w**3/6 + 22*w. Find v, given that s(v) = 0.
-1, 0, 3
Factor 2/3*t**3 + 0*t**2 + 0 + 0*t + 3*t**4.
t**3*(9*t + 2)/3
Let o(b) be the first derivative of -2*b**6/3 - 16*b**5/5 - 5*b**4 - 8*b**3/3 - 24. Factor o(z).
-4*z**2*(z + 1)**2*(z + 2)
Let s = 14 - 7. Let 16*l - 3*l**2 + 8 - 4*l + s*l**2 = 0. What is l?
-2, -1
Let z(s) be the third derivative of s**10/75600 - s**9/30240 - s**8/10080 + s**7/2520 + s**5/30 - s**2. Let k(m) be the third derivative of z(m). Factor k(h).
2*h*(h - 1)**2*(h + 1)
Let x(o) be the third derivative of o**8/131040 + o**7/16380 + o**6/4680 + 2*o**5/15 + 3*o**2. Let f(q) be the third derivative of x(q). Solve f(g) = 0 for g.
-1
Let u be 4 + 2/2 + -3. Suppose 4 = -l, m - 2*m - 14 = 4*l. Find a, given that m*a**3 + 3*a**u + a**4 - a**2 - a**2 = 0.
-1, 0
Let f(w) = -w**3 - 11*w**2 - 18*w. Let y(l) = -3*l + 15. Let p be y(8). Let x be f(p). Factor 2/3*v**3 + x - 4/3*v - 2/3*v**2.
2*v*(v - 2)*(v + 1)/3
Let f be (3 + 16/(-6))*3. Suppose -5 = -p - f. Let -1/3*r**p + 0 + 0*r**3 + 1/3*r**2 + 0*r = 0. What is r?
-1, 0, 1
Let c(v) be the third derivative of 0*v + 1/6*v**3 - 1/60*v**6 + 0 + v**2 + 1/12*v**4 - 1/210*v**7 + 0*v**5. Factor c(b).
-(b - 1)*(b + 1)**3
Let m be (5 + (-150)/36)*4/15. Let c(w) be the first derivative of 4 + m*w**3 + 2/3*w - 2/3*w**2. Factor c(k).
2*(k - 1)**2/3
Let w be -3 - (-3 - (2 + 12/(-9))). Suppose 1/3*a**2 - w*a + 1/3 = 0. Calculate a.
1
Let c be 2/(-11) + 384/176. Suppose 0 = 3*d - 0*p + 4*p - 26, 0 = c*d + 5*p - 29. Solve 8/11*a + 2/11*a**d + 6/11 = 0.
-3, -1
Let c(y) be the third derivative of 1/120*y**4 + 0*y**6 + 0*y + 2*y**2 + 1/525*y**7 - 1/150*y**5 + 0 - 1/1680*y**8 + 0*y**3. Find h, given that c(h) = 0.
-1, 0, 1
Let v = -97 + 299/3. Determine z, given that v*z - 86/3*z**2 + 8/3 + 50*z**4 - 80/3*z**3 = 0.
-2/5, 1/3, 1
Let w(h) = -7*h + 2. Let x be w(0). Let l(v) be the first derivative of 8/3*v**3 + 1/2*v**4 + 1 + 5*v**x + 4*v. Let l(o) = 0. Calculate o.
-2, -1
Let n(w) be the third derivative of -w**7/210 + w**6/60 + w**5/60 - w**4/12 + 12*w**2. Factor n(a).
-a*(a - 2)*(a - 1)*(a + 1)
Factor 7 - 4*p**2 + 0*p - 4*p**3 - 2 - 3 + 2*p**4 + 2*p + 2*p**5.
2*(p - 1)**2*(p + 1)**3
Suppose 4*f = -0*f. Suppose 2/5*z**3 - 2/5*z**5 + 0 + f*z + 2/5*z**4 - 2/5*z**2 = 0. Calculate z.
-1, 0, 1
Let q(o) be the first derivative of -o**3/6 + 3*o**2/4 - o - 7. Factor q(y).
-(y - 2)*(y - 1)/2
Let h(p) be the third derivative of p**8/3080 + p**7/2310 - p**6/1980 + 2*p**3/3 - 4*p**2. Let u(m) be the first derivative of h(m). Factor u(q).
2*q**2*(q + 1)*(3*q - 1)/11
Determine f so that -2/9*f**2 + 0 - 2/9*f = 0.
-1, 0
Suppose 5*l + 0*l - 33 = -2*f, 4*f = -4*l + 60. What is v in 15*v - f*v + 0*v**3 + 2 - 2*v**2 + v**3 - 2*v**3 = 0?
-2, -1, 1
Let x(h) = -4*h**4 - 2*h**3 + 4*h. Let o(t) = 5*t**4 + t**3 - 4*t + 1. Let m(z) = 4*o(z) + 6*x(z). Factor m(q).
-4*(q - 1)*(q + 1)**3
Let q = 35/414 - 2/69. Let d(z) be the second derivative of z - 1/60*z**5 - 1/18*z**3 + 0 - q*z**4 + 0*z**2. Factor d(c).
-c*(c + 1)**2/3
Suppose -l + 26 = -5*a - 74, 4 = a - 5*l. Let q be 1/2 - a/14. Find k, given that 1/2*k**q - 1/2*k**3 + 0 + 0*k = 0.
0, 1
Let g(l) = -l**3 + 7*l**2 - 6*l + 2. Let p(z) = z**3 - 7*z**2 + z - 1. Let m be p(7). Let b be g(m). Solve 0 + 2/3*k**b - 2/3*k = 0 for k.
0, 1
Let x(n) be the third derivative of n**6/720 + n**5/180 + n**4/144 + 8*n**2. Solve x(i) = 0.
-1, 0
Factor 0*n + 0*n**3 - 3/7*n**4 + 6/7*n**2 - 3/7.
-3*(n - 1)**2*(n + 1)**2/7
Let k(w) = w**2 - w + 4. Let d(a) = 4*a**2 - 4*a + 12. Let c(l) = -3*d(l) + 10*k(l). Factor c(t).
-2*(t - 2)*(t + 1)
Suppose 0 = a + 3*o + 6, -128*a + 123*a = 4*o + 8. Determine j, given that 3*j**4 + 3/2*j**3 + 0*j + a - 3/2*j**5 - 3*j**2 = 0.
-1, 0, 1, 2
Find d such that -18*d - 38*d + 3*d**2 - 32 + 16*d**3 - 5*d**2 + 4*d**4 - 10*d**2 = 0.
-4, -1, 2
What is w in 32/3 + 2/3*w**2 - 20/3*w = 0?
2, 8
Let z(o) = -8*o**2 + 16*o - 8. Let c(b) = 2*b**2 - 4*b + 2. Let y(t) = -26*c(t) - 6*z(t). Factor y(k).
-4*(k - 1)**2
Let n be 10 - (-2 + 2 + 3). Suppose 5*d = 3 + n. Factor -1/2*x**3 + 0*x**d + 0 + 1/2*x.
-x*(x - 1)*(x + 1)/2
Suppose 71*r - 74*r + 9 = 0. Suppose 4*j - 5*j - 2*m - 2 = 0, 2*m = -5*j + 6. Factor 14*d**3 - 11*d**r + d - 4*d**j - d**4 + d**2.
-d*(d - 1)**3
Let h = 148 - 148. Find g such that -2/3*g - 3*g**2 + h + 3*g**4 + 7/3*g**5 - 5/3*g**3 = 0.
-1, -2/7, 0, 1
Let o(z) = -z**4 - z**3 - z**2 - z. Let v(k) = -4*k**4 - 3*k**3 - k**2 - 3*k - 1. Let h = 6 - 0. Suppose -h = p + 2*p. Let g(x) = p*v(x) + 6*o(x). Factor g(s).
2*(s - 1)**2*(s + 1)**2
Let j(p) be the second derivative of p**6/60 - p**5/15 + 3*p**2/2 + p. Let u(v) be the first derivative of j(v). Determine i so that u(i) = 0.
0, 2
Let i(p) be the third derivative of 5*p**8/336 - p**7/14 + p**6/8 - p**5/12 - 26*p**2. What is o in i(o) = 0?
0, 1
Let f(u) = u**5 - u**4 + u**2 - 1. Let o(x) = 3*x**5 - 19*x**4 - 38*x**3 - 45*x**2 - 32*x - 13. Let c(g) = -5*f(g) + o(g). Factor c(y).
-2*(y + 1)**3*(y + 2)**2
Let o(l) = l**3 - 11*l**2 + 13*l - 28. Let d be o(10). Determine u, given that -28/3*u**d - 1/3*u + 2/3 = 0.
-2/7, 1/4
Suppose 0 = -2*c - 0*c + 8. Factor 6*i**2 - 9*i**3 - 3*i**c - 3*i**4 + 3*i**5 + 6*i**3.
3*i**2*(i - 2)*(i - 1)*(i + 1)
Let g(m) = 3*m**2 + 9*m - 6. Let l(c) = -c**2 - 3*c + 2. Let x(k) = 4*g(k) + 11*l(k). Let h be x(-4). Factor t**4 + 5*t**5 + t**h - 4*t**3 - t**2 - 9*t**4.
t**3*(t - 2)*(5*t + 2)
Let p(i) = -3*i**2 + 2*i - 1. Let g(w) = 13*w**2 - 7*w + 3. Let l(s) = 4*g(s) + 18*p(s). Suppose l(r) = 0. Calculate r.
1, 3
Let t(o) = 3*o**4 - 4*o**3 + 4*o**2 - 3*o - 7. Let a(v) = -v**4 + v**3 - v**2 + v + 2. Let u(s) = -21*a(s) - 6*t(s). Factor u(k).
3*k*(k - 1)*(k + 1)**2
Suppose 13 = 2*o - 7. Suppose 212*y**2 + 78*y + o*y + 8 + 30*y**2 = 0. Calculate y.
-2/11
Factor 89*u**2 + 8*u**3 - 5*u**5 - 105*u**2 + 4*u**4 + 3*u**5.
-2*u**2*(u - 2)**2*(u + 2)
Let v(r) = 3*r**2 - 20*r - 24. Let u(h) = h**2 - 10*h - 12. Let n(j) = 14*u(j) - 6*v(j). Factor n(s).
-4*(s + 2)*(s + 3)
Let -1/2*n + n**2 - 1 + 1/2*n**3 = 0. Calculate n.
-2, -1, 1
Let m(v) be the first derivative of -v**6/6 - 17. Determine u so that m(u) = 0.
0
Find d, given that 0*d - 1/4*d**3 + 1/4*d**2 + 0 = 0.
0, 1
Let k(w) = -30*w**4 + 65*w**3 + 125*w**2 - 65*w - 25. Let g(j) = -5*j**4 + 11*j**3 + 21*j**2 - 11*j - 4. Let v(y) = -35*g(y) + 6*k(y). Factor v(m).
-5*(m - 2)*(m - 1)*(m + 1)**2
Let w(c) be the first derivative of -1/27*c**6 + 2/45*c**5 - 2/27*c**3 + 0*c**2 + 1/18*c**4 + 0*c + 2. Factor w(q).
-2*q**2*(q - 1)**2*(q + 1)/9
Let j be (-496)/56*1/(-4). Let i = -12/7 + j. Factor i*v - 1 + v**2 - 1/2*v**3.
-(v - 2)*(v - 1)*(v + 1)/2
Let w(j) be the third derivative of -j**7/280 + 7*j**6/360 - j**5/60 - 2*j**3/3 - j**2. Let a(f) be the first derivative of w(f). Determine p so that a(p) = 0.
0, 1/3, 2
Let b(v) = -v**5 + v**3 - v**2 + 6*v - 2. Let k(q) = 3*q**5 + q**4 - 2*q**3 + 2*q**2 - 17*q + 5. Let g(y) = 8*b(y) + 3*k(y). Factor g(h).
(h - 1)*(h + 1)**4
Solve -3/4*f**2 - 15/8*f**3 + 3/4 + 15/8*f = 0 for f.
-1, -2/5, 1
Let c(q) be the second derivative of 0 - 1/3*q**3 - 1/10*q**5 - 2*q + 1/3*q**4 + 0*q**2. Factor c(w).
-2*w*(w - 1)**2
Let f(k) be the second derivative of -k**5/14 - k**4/21 + 13*k**3/21 - 6*k**2/7 + 25*k. Factor f(m).
-2*(m - 1)*(m + 2)*(5*m - 3)/7
Let w(l) be the first derivative of l**6/18 - l**5/15 - l**4/12 + l**3/9 + 2. Suppose w(b) = 0. Calculate b.
-1, 0, 1
Let l(y) be the first derivative of 3*y**2 - 2*y**3 + 1/2*y**4 - 2*y - 1. Factor l(i).
2*(i - 1)**3
Let a(v) be the third derivative of v**7/7560 - v**6/720 - 5*v**4/24 - v**2. Let g(b) be the second derivative of a(b). Determine c so that g(c) = 0.
0, 3
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