 Let w be b(-2). Factor 0 + 8/9*s**2 + 0*s + 2*s**4 + 8/3*s**w.
2*s**2*(3*s + 2)**2/9
Suppose -12/5*c + 12/5 + 3/5*c**2 = 0. Calculate c.
2
Factor 1/2*v**2 + 0 - 1/4*v**3 - 1/4*v.
-v*(v - 1)**2/4
Let w(t) = 7*t - 327. Let h be w(47). Determine q, given that 6/7*q**2 - h*q + 4/7 = 0.
1/3, 2
Let y(d) be the third derivative of d**5/140 - 3*d**4/56 - 2*d**3/7 + 9*d**2. Determine i so that y(i) = 0.
-1, 4
Solve 0 - 9/7*f**3 - 1/7*f + 6/7*f**2 = 0 for f.
0, 1/3
Let v(p) be the second derivative of -p**7/231 - 17*p**6/165 - 4*p**5/5 - 12*p**4/11 + 144*p**3/11 + 432*p**2/11 - 8*p - 4. Suppose v(u) = 0. Calculate u.
-6, -1, 2
Factor 50*i - 86*i + 10 + 71*i - 45*i**2.
-5*(i - 1)*(9*i + 2)
Let f = 130/3 - 42. Factor 8/3*m**2 - 2*m - 3*m**4 + 2/3*m**3 + f*m**5 + 1/3.
(m - 1)**3*(m + 1)*(4*m - 1)/3
Suppose 6*c = -5*d + 3*c + 12, -4*c = -d - 16. Suppose 0 + 2/3*p**4 - 2/3*p**2 + 2*p**5 - 2*p**3 + d*p = 0. Calculate p.
-1, -1/3, 0, 1
Suppose p = 3, 2*p - 3 + 12 = -3*g. Let j be (1/g)/((-10)/25). Solve 3/2*z**2 + z - 1/2*z**3 - 3/2*z**4 - j*z**5 + 0 = 0 for z.
-2, -1, 0, 1
Let j be -1 - (-103)/21*-3. Let b = j - -16. Solve -b*q**2 - 2/7 + 4/7*q = 0 for q.
1
Let h = 0 - -2. Suppose 0 = m - h*m + 2. Let 0 + 2/7*s - 2/7*s**m = 0. Calculate s.
0, 1
Suppose -3*c = 1 - 7. Solve -2*b + 0*b + 2 + b**c - 1 = 0 for b.
1
Let r(t) be the third derivative of t**7/210 + t**6/120 + 6*t**2. Let r(w) = 0. What is w?
-1, 0
Let y(o) = -o**3. Let j(w) = -5*w**4 + 6*w**3 - 5*w**2. Let x(i) = j(i) - 4*y(i). Factor x(d).
-5*d**2*(d - 1)**2
Let m(f) be the first derivative of -f**7/2520 - f**6/360 + f**4/18 + 4*f**3/3 - 2. Let w(y) be the third derivative of m(y). Factor w(v).
-(v - 1)*(v + 2)**2/3
Let -5/4*f**4 + 25/2*f**2 + 45/4*f**3 + 0 + 0*f = 0. What is f?
-1, 0, 10
Let t be (-21)/(-315) - 2/(-6). Find z such that 4/5*z**2 - 2/5 - t*z**4 + 0*z + 0*z**3 = 0.
-1, 1
Let k = 0 - -2. Factor -12*p - 2*p**4 + 12*p - k*p**3.
-2*p**3*(p + 1)
Suppose -5*h + 29 = 9. Find a, given that 2*a**3 - 2 - 2*a**h - 2*a + 9*a**2 - 3*a**2 - 2 + 0*a = 0.
-1, 1, 2
Let s(l) be the second derivative of -l**4/12 - 7*l**3/6 - 5*l. Let t be s(-7). Find y such that 2/9*y**5 + t*y - 2/9*y**3 + 0*y**2 + 0*y**4 + 0 = 0.
-1, 0, 1
Let x(c) = c**3 - 5*c**2 + 2. Suppose 3*z = -2*z + 25. Let t be x(z). What is q in -2/5*q**5 - 2/5*q + 2/5*q**4 + 4/5*q**3 + 2/5 - 4/5*q**t = 0?
-1, 1
Let c(k) = -k**3 - 19*k**2 - 45*k - 29. Let i(m) = -m**3 - m**2 + 1. Let o(d) = c(d) + 2*i(d). Suppose o(z) = 0. Calculate z.
-3, -1
Factor 3*a - 5*a**2 - 7*a**2 + 0*a + 9*a**3.
3*a*(a - 1)*(3*a - 1)
Factor -1 + 1 + 11*i**2 + 3*i - 12*i**2.
-i*(i - 3)
Let h be 38/4 - (-6)/4. Suppose 5*x + 1 = h. Determine j so that -2/5*j**x + 2/5 + 2/5*j - 2/5*j**3 = 0.
-1, 1
Let n = -85 + 85. Let b(k) be the second derivative of -2*k + n + 1/18*k**4 + 1/3*k**2 + 2/9*k**3. Determine z, given that b(z) = 0.
-1
Suppose -4*q + 10 = q - 2*l, 5*q - 25 = -l. Suppose 8*d - 12 = q*d. Factor 4/5*f**2 + 2/5 + 6/5*f - 2/5*f**5 - 4/5*f**d - 6/5*f**4.
-2*(f - 1)*(f + 1)**4/5
Let g(y) be the third derivative of y**6/600 + y**5/300 - y**4/24 + y**3/10 + 11*y**2. Factor g(w).
(w - 1)**2*(w + 3)/5
Let s(a) be the second derivative of -1/126*a**7 + 0*a**2 + 0*a**5 + 1/45*a**6 + 1/18*a**3 - 5*a + 0 - 1/18*a**4. Determine l so that s(l) = 0.
-1, 0, 1
Let c = 26542 - 7962593/300. Let k(y) be the third derivative of -1/24*y**4 + 0 + 1/30*y**3 + c*y**5 + 3*y**2 - 1/200*y**6 + 0*y. Solve k(m) = 0.
1/3, 1
Let i(n) be the first derivative of -5 - 3/2*n**2 + 3*n**3 - 6*n. Determine m, given that i(m) = 0.
-2/3, 1
Factor 25*c - 5*c**3 - 25*c.
-5*c**3
Suppose 0 = -4*v + 3*v + 3. Suppose -5*c + 10 = 0, -v*u + 14 = 2*u - 3*c. Determine i so that 0*i**2 + 2/5*i**3 + 0*i - 4/5*i**u + 0 + 2/5*i**5 = 0.
0, 1
Let b(h) be the third derivative of 0 + 0*h**5 + 0*h**4 + 1/210*h**7 + 1/120*h**6 - h**2 + 0*h**3 + 0*h. Factor b(p).
p**3*(p + 1)
Suppose -36*o + 30 = -30*o. Determine x, given that 1 + 5*x**3 - o*x + 17/4*x**2 - 21/4*x**4 = 0.
-1, 2/7, 2/3, 1
Suppose -q + 4*b + 17 = 0, 2 = -2*q - 5*b + 10. Suppose 0 = -2*g - 0*g + 2, -2*a + q = g. Factor 2*o + 2*o**5 + 2*o**4 - 2 + o**4 - 5*o**4 - 4*o**3 + a*o**2.
2*(o - 1)**3*(o + 1)**2
Let w(r) be the third derivative of -r**6/40 + 3*r**5/20 - r**4/4 - 11*r**2. Factor w(c).
-3*c*(c - 2)*(c - 1)
Let s(a) be the second derivative of -5*a**4/12 - 25*a**3/3 - 125*a**2/2 + 13*a. Find f, given that s(f) = 0.
-5
Let f = -74 + 78. Let k(l) be the second derivative of 0 + 2*l + 1/36*l**f + 0*l**2 + 0*l**3. Find x such that k(x) = 0.
0
Let m(z) be the second derivative of -5*z + 2/27*z**3 + 0 + 0*z**2 - 1/54*z**4. Determine v, given that m(v) = 0.
0, 2
Factor 0 + 1/3*h**5 + 3*h + 4*h**2 - 4/3*h**4 - 2/3*h**3.
h*(h - 3)**2*(h + 1)**2/3
Let u(l) be the second derivative of -l**4/28 + 3*l**2/14 - 7*l. Determine o, given that u(o) = 0.
-1, 1
Let v(d) be the first derivative of d**4/10 + d**3/15 - d**2/10 - 4. Factor v(w).
w*(w + 1)*(2*w - 1)/5
Let u(r) be the first derivative of -6*r**2 - 2/3*r**3 + 6 - 18*r. Factor u(t).
-2*(t + 3)**2
Suppose 10 + 2 = 2*g - 4*h, -2*h = 3*g - 10. Factor -k**4 - 1 + 2*k + 2*k**4 + 3*k**4 - 2*k**3 - 3*k**g.
(k - 1)**3*(k + 1)
Let t(y) be the third derivative of -y**8/16800 - y**7/6300 + y**4/8 + y**2. Let u(r) be the second derivative of t(r). Let u(i) = 0. What is i?
-1, 0
Let q(n) be the first derivative of -n**4/30 + n**2/5 + 4*n/15 - 23. Factor q(b).
-2*(b - 2)*(b + 1)**2/15
Let o be 2 - (3 + -1*4). Let h**4 - h**5 - 11*h**2 + 10*h**2 + 2*h**3 - h**o = 0. Calculate h.
-1, 0, 1
Let n(a) be the third derivative of a**5/140 - a**4/28 + 5*a**2. Factor n(z).
3*z*(z - 2)/7
Let h(r) = 17*r**4 + 35*r**3 + 18*r**2 + 8*r - 8. Let m(a) = 11*a**4 + 23*a**3 + 12*a**2 + 5*a - 5. Let c(f) = 5*h(f) - 8*m(f). Factor c(i).
-3*i**2*(i + 1)*(i + 2)
Let k(f) be the second derivative of -f + 1/25*f**5 + 0*f**2 + 1/15*f**3 + 0 + 1/150*f**6 + 1/12*f**4. Solve k(y) = 0.
-2, -1, 0
Solve -18/7*t - 2/7*t**3 + 12/7*t**2 + 8/7 = 0.
1, 4
Let s be (((-30)/(-21))/(-5))/(-1). Let -s*j**3 + 0*j + 0 - 2/7*j**4 + 0*j**2 = 0. Calculate j.
-1, 0
Let p(q) be the second derivative of 5*q**7/21 - 7*q**6/15 - 3*q**5/10 + 7*q**4/6 - 2*q**3/3 + q. Suppose p(k) = 0. What is k?
-1, 0, 2/5, 1
What is f in 2/7 - 1/7*f**3 + 3/7*f + 0*f**2 = 0?
-1, 2
Suppose 0 = u - 5, 3*u - 10 = 3*w + 5. Let j = 2 + w. Determine p, given that 2*p + 1 + p**j - p**2 + p**2 = 0.
-1
Let i(j) = -3*j**5 + 9*j**4 - 12*j**3 + 3*j**2. Let d(b) = -3*b**5 + 9*b**4 - 13*b**3 + 3*b**2. Let m(t) = 3*d(t) - 4*i(t). Factor m(g).
3*g**2*(g - 1)**3
Let m = 0 - 9. Let z be (-1)/(m/(-6) + -2). Let -2*w**3 - w**5 - z*w**3 + 5*w**3 = 0. Calculate w.
-1, 0, 1
Let c(d) be the third derivative of d**8/112 + d**7/210 - 23*d**6/360 + 13*d**5/180 - d**4/36 + 35*d**2. Let c(n) = 0. What is n?
-2, 0, 1/3, 1
Let q(o) = -o**3 + 5*o**2 + 9*o - 2. Let u be q(6). Factor -4*k**5 + 4*k + 4*k**3 - k**4 + 2*k**5 - 3*k**4 + 10*k + 4 + u*k**2.
-2*(k - 2)*(k + 1)**4
Let i = -104 - -106. Factor 2/9 - 2/3*t**i - 4/9*t.
-2*(t + 1)*(3*t - 1)/9
Let o(i) be the third derivative of -i**8/840 - 2*i**7/525 + i**5/75 + i**4/60 - i**2. Determine g, given that o(g) = 0.
-1, 0, 1
Let j be 6/(-3 + 546/172). Let g = j - 34. Determine s so that -2/5*s**2 + 2/5*s**3 + 2/5 - g*s = 0.
-1, 1
Let x(z) be the first derivative of z**3/4 + 3*z**2/2 + 3*z - 5. Determine l, given that x(l) = 0.
-2
Suppose -4*p + 4 - 31 = 3*o, 0 = 3*o - 4*p + 27. Let u = o + 14. Determine z, given that 2*z**3 + 0 + 5*z**2 + 16*z + u*z**2 + 8 = 0.
-2, -1
Let n(z) = z**3 + 6*z**2 + 5*z. Let u be n(-5). Let x(b) be the third derivative of b**2 + 1/15*b**5 + 1/120*b**6 + u*b + 5/24*b**4 + 1/3*b**3 + 0. Factor x(f).
(f + 1)**2*(f + 2)
Factor -3*r**3 - 1/2*r**5 - 1/2*r - 2*r**4 - 2*r**2 + 0.
-r*(r + 1)**4/2
Solve -4*a**3 - 7*a + 2*a + 3 - 2 - 8*a**2 - 2 = 0.
-1, -1/2
Let n = -6397/9 + 711. Let -2/3*f + 4/9 + n*f**3 + 0*f**2 = 0. What is f?
-2, 1
Let b(w) = 6*w**5 + 9*w**4 + 9*w**3 - 9*w**2 - 9*w - 6. Let o(n) = -11*n**5 - 18*n**4 - 17*n**3 + 17*n**2 + 18*n + 11. Let p(t) = 5*b(t) + 3*o(t). Factor p(j).
-3*(j - 1)*(j + 1)**4
Let s(h) = 6*h**3 - 4*h**2 + 2*h. Let y(d) = -d**2 - d + 1. Let u be (-3 - -1)/(-7 + 9). Let t(k) = u*s(k) - 4*y(k). Factor t(p).
-2*(p - 1)**2*(3*p + 2)