f + 1)
Let u(h) be the first derivative of -h**6/3 - 18*h**5/5 - 29*h**4/2 - 86*h**3/3 - 30*h**2 - 16*h - 6. Factor u(y).
-2*(y + 1)**3*(y + 2)*(y + 4)
Let d(t) = -4*t**2 - t. Let o = 3 - -1. Let a(s) = 5*s**2 + s. Let b(u) = o*d(u) + 3*a(u). Let b(h) = 0. Calculate h.
-1, 0
Suppose 2/5*s**3 + 0*s - 4/5*s**2 + 0 = 0. Calculate s.
0, 2
Let s(r) = r**3 - 5*r**2 + 7*r - 4. Let q be s(5). Let i = -61/2 + q. Determine k so that i*k + 1/4 + 1/4*k**2 = 0.
-1
Let r(h) = h**2 - 2*h - 4. Let p be r(4). Suppose -2*t**p + 8*t**2 + 0*t - 7*t + 2 + 0*t**4 - 2*t**3 + t**5 = 0. Calculate t.
-2, 1
Suppose b - 6*b + 30 = -4*v, -9 = 3*b + 3*v. Let c(u) be the first derivative of b*u**2 - 2/5*u**5 + 0*u**3 - u**4 + 3 + 2*u. Suppose c(w) = 0. What is w?
-1, 1
Let v(g) be the second derivative of -7/12*g**3 - 9/20*g**6 + 5/12*g**4 + 0 + 9/20*g**5 + g + 1/4*g**2 - 9/28*g**7. Suppose v(x) = 0. Calculate x.
-1, 1/3
Factor a - 3*a**2 - a**3 + a**4 - a**2 + 11*a**2 - 8*a**2.
a*(a - 1)**2*(a + 1)
Let o(k) = -7*k**5 + 30*k**3 - 42*k**2 + 13*k - 2. Let f(u) = 155*u**5 - 660*u**3 + 925*u**2 - 285*u + 45. Let r(s) = -2*f(s) - 45*o(s). Factor r(w).
5*w*(w - 1)**3*(w + 3)
Let k = 1180 + -212399/180. Let n(r) be the third derivative of 1/90*r**5 - k*r**6 + 0*r**3 + 0 + 0*r - r**2 + 0*r**4. Factor n(a).
-2*a**2*(a - 1)/3
Let t(n) be the first derivative of n**6/6 - 3*n**5/10 - n**4/2 + n**3/2 + n**2/2 - 11. Solve t(k) = 0 for k.
-1, -1/2, 0, 1, 2
Let v(f) be the first derivative of f**6/120 + f**5/80 - f**4/48 - f**3/24 + 2*f + 3. Let y(o) be the first derivative of v(o). Factor y(c).
c*(c - 1)*(c + 1)**2/4
Let y(f) be the first derivative of f**2 + 0*f - 1 + 2/3*f**3. Factor y(p).
2*p*(p + 1)
Factor 0*z + 0 - 2/9*z**3 - 2/9*z**2.
-2*z**2*(z + 1)/9
Suppose 2*y = -m + 6, -2*y - 4*m = -0*m. Solve -1/2*j**3 + 1/4*j + 1/4*j**5 + 0*j**2 + 0*j**y + 0 = 0 for j.
-1, 0, 1
Let w(a) be the second derivative of 4*a - 1/10*a**6 + 0*a**5 + 0*a**3 + 0 + 1/4*a**4 + 0*a**2. Factor w(x).
-3*x**2*(x - 1)*(x + 1)
Let j(b) be the second derivative of b**5/150 - b**4/60 + b**2 - 4*b. Let q(i) be the first derivative of j(i). Factor q(a).
2*a*(a - 1)/5
Let p be (2 - 1)/7 + 3/(-21). Let c(y) be the third derivative of 0*y + 0*y**5 + 2/3*y**3 + 3*y**2 - 1/60*y**6 + 1/4*y**4 + p. What is a in c(a) = 0?
-1, 2
Let z(x) be the third derivative of -x**6/24 - 2*x**5/3 - 35*x**4/24 - 35*x**2 - x. Determine d, given that z(d) = 0.
-7, -1, 0
Let c be 6/(-4)*(1796/360 - 5). Let w(f) be the second derivative of 1/18*f**3 + f + 0 - 1/18*f**4 + c*f**5 + 0*f**2. Factor w(l).
l*(l - 1)**2/3
Suppose -29 - 1 = -5*x. Let t(r) be the third derivative of 1/15*r**5 - 1/6*r**4 + 0*r**3 - 1/120*r**x + 0 + 0*r + 2*r**2. Factor t(b).
-b*(b - 2)**2
Suppose -2*z + 5 = 1. Suppose z*w = -3*w + 10. Factor 2*v**3 - 3*v - w + v**2 + v + v**2.
2*(v - 1)*(v + 1)**2
Suppose 4*u**3 - u**3 - 106*u + 9*u**2 + 94*u = 0. What is u?
-4, 0, 1
Suppose 44*i = 36*i. Suppose 0*w**2 - 1/4*w + i + 1/4*w**3 = 0. What is w?
-1, 0, 1
Factor 5/8*u + 1/8*u**2 - 3/4.
(u - 1)*(u + 6)/8
Factor 6/7 + 3/7*y**3 - 9/7*y + 0*y**2.
3*(y - 1)**2*(y + 2)/7
Let i(o) be the second derivative of -o**7/840 + o**6/240 + o**5/80 + 2*o**2 - o. Let d(l) be the first derivative of i(l). Factor d(p).
-p**2*(p - 3)*(p + 1)/4
Let z(s) be the third derivative of -s**5/60 - s**4/8 - s**3/3 - 7*s**2. Factor z(g).
-(g + 1)*(g + 2)
Suppose 2*c - 2 = -0*c + 2*d, 3*d = 2*c + 2. Suppose 6*b - 3*b + 19 = -5*s, 5*b = -s + 5. Factor -c*k**2 + b + 4*k**2 + k + 0.
-(k - 2)*(k + 1)
Let d be 0/((4 + -3)/1). Suppose 3*m - 4 = -2*m - 3*n, d = m + n. Factor -1/3 + 1/3*f**m + 0*f.
(f - 1)*(f + 1)/3
Let y(o) = -7*o**4 + 3*o**3 + 11*o**2 + 19*o + 7. Let g(i) = -2*i**4 + i**3 + 3*i**2 + 5*i + 2. Let u(v) = -22*g(v) + 6*y(v). Factor u(a).
2*(a - 1)**3*(a + 1)
Solve 4/3*n**2 + 0 + 4/3*n + 1/3*n**3 = 0 for n.
-2, 0
Let r be 8/3*1/4. Let y(j) = 2*j + 6. Let h be y(-2). Solve h*u**3 + r + 10/3*u + 14/3*u**2 = 0.
-1, -1/3
Let t(g) be the first derivative of g**5/270 + g**4/54 + g**3/27 + 3*g**2/2 - 1. Let h(m) be the second derivative of t(m). Solve h(v) = 0 for v.
-1
Let m be (-440)/(-75) - (-2)/15. Let z(f) = f**3 - 7*f**2 + 6*f. Let p be z(m). Factor 2*b**4 + p + 1/2*b**5 + 2*b**2 + 3*b**3 + 1/2*b.
b*(b + 1)**4/2
Let t(u) be the third derivative of -u**7/735 - u**6/210 - u**5/210 + 11*u**2. Factor t(m).
-2*m**2*(m + 1)**2/7
Let q(j) be the second derivative of -j**5/20 - j**4/6 + 7*j**3/6 - 2*j**2 + 36*j. Factor q(l).
-(l - 1)**2*(l + 4)
Let k(g) = g + 5. Let m be k(-3). Let 2*r**2 - m*r**4 + 0*r**2 + 0*r**5 - 2*r**5 + 2*r**3 = 0. What is r?
-1, 0, 1
Suppose -7*i = -3*i - 16. Let m be 0/((-4)/(-2)*-1). Factor -2/7*k**i + 0*k + m*k**2 + 0*k**3 + 0.
-2*k**4/7
Let v(o) be the second derivative of 0 + 2*o - 1/15*o**6 + 1/2*o**4 - 1/10*o**5 - 2*o**2 + 1/3*o**3. Determine m so that v(m) = 0.
-2, -1, 1
Suppose 1/4*b**2 + 9/4 + 3/2*b = 0. Calculate b.
-3
Let k = -9 + -16. Let l be (7 - 2)*(-2)/k. Find m, given that 19/5*m**3 - 7/5*m + 7/5*m**4 + l - 9/5*m**2 - 12/5*m**5 = 0.
-1, -2/3, 1/4, 1
Suppose 11 - 27 = -2*c. Let x = c - 8. Solve v**3 - 1/2*v**4 + 0*v - 1/2*v**2 + x = 0.
0, 1
Determine o so that 150*o**5 + 485/3*o**4 - 8/3*o + 122/3*o**3 - 20/3*o**2 + 0 = 0.
-1/2, -2/5, 0, 2/9
Let q(a) be the second derivative of a**7/84 + a**6/15 + 3*a**5/20 + a**4/6 + a**3/12 - 6*a. Factor q(d).
d*(d + 1)**4/2
Factor -1/4 - 5/2*f**2 - 11/4*f - 133/4*f**4 + 53/2*f**3 + 49/4*f**5.
(f - 1)**3*(7*f + 1)**2/4
Let c be 0/((1 - 5)/(-2)). Let p(n) be the third derivative of 0*n**4 + 0 - 1/60*n**6 + n**2 - 1/60*n**5 + 0*n**3 + c*n - 1/210*n**7. Factor p(o).
-o**2*(o + 1)**2
Let m(g) be the third derivative of g**5/360 - g**4/48 + 40*g**2. Factor m(x).
x*(x - 3)/6
Let t be 2 + 3 + (-246)/54. Find z, given that 14/9*z**2 - t*z + 0 = 0.
0, 2/7
Suppose -t - 47 = -50. Determine g, given that -8/5 - 62/5*g - 112/5*g**2 + 32/5*g**t = 0.
-1/4, 4
Let a(q) = -4*q**3 + q. Let v be a(-1). Solve 16*f**v + 28*f**2 - 4 + 0*f + 5*f + 3*f = 0.
-1, 1/4
Let d(r) be the third derivative of 7*r**6/900 + 17*r**5/450 + 13*r**4/180 + r**3/15 + 3*r**2 + 14. Factor d(l).
2*(l + 1)**2*(7*l + 3)/15
Let i(j) be the first derivative of -j**5/20 - j**4/12 + j**3/6 + j**2/2 - 2*j - 1. Let y(p) be the first derivative of i(p). Determine a so that y(a) = 0.
-1, 1
Suppose m + 3*y = 6, 0 = 4*m - 7*m + 2*y + 29. Find s, given that -3 + m*s - 27/4*s**2 = 0.
2/3
Let l = 4 - 0. Factor 3*b**l + 2 - 10*b**2 + 4*b**2 + 1.
3*(b - 1)**2*(b + 1)**2
Let k be ((-3)/10)/(22/(-8) - -2). Suppose u + u = 4. Factor -2/5*a**u + 0*a + k.
-2*(a - 1)*(a + 1)/5
Factor 6*n - 25*n**3 - 3*n**2 - 2*n**4 + 5*n**2 + 19*n**3.
-2*n*(n - 1)*(n + 1)*(n + 3)
Let b(g) be the first derivative of g**3/9 + g**2/6 - 55. Solve b(r) = 0.
-1, 0
Let r(a) be the third derivative of 0 + 0*a**3 - 1/45*a**5 + 0*a**4 - 5*a**2 + 1/20*a**6 + 0*a - 1/45*a**7. Suppose r(s) = 0. Calculate s.
0, 2/7, 1
Let d = -12 - -3. Let n be ((-1)/5)/(d/243). Factor 3/5*t**2 + n + 18/5*t.
3*(t + 3)**2/5
Let t(m) = -m**2 - 5 + 2 - 2*m - 5*m. Let w be t(-6). Determine f, given that -f**w + 5*f - 2*f**2 - 5*f - 5*f**3 + 8*f**4 = 0.
-1/4, 0, 1
Suppose -24 = -4*j - 0*m + 2*m, -5*m = 5*j - 15. Suppose 0 = -3*v - j + 14. Solve 3*o**v + 2 - 6*o + 3*o**2 + 2*o**2 + o**2 - 5*o**3 = 0.
1
Let j(z) be the second derivative of 5*z**5/14 + 5*z**4/42 - 16*z**3/21 + 4*z**2/7 - 43*z. Let j(c) = 0. Calculate c.
-1, 2/5
Let a be (-9)/2*(-2)/3. Suppose -a*w = 3*y, -y = -2*y - 4*w. Let y + 1/2*m + 5/4*m**2 - 7/4*m**3 = 0. Calculate m.
-2/7, 0, 1
Let f be (-6)/(-21)*(5 - 3). Let q be 24/112*16/6. Solve 2/7 - f*m**3 + 0*m**2 + q*m - 2/7*m**4 = 0 for m.
-1, 1
Determine x so that 8/13*x + 0 + 2/13*x**2 = 0.
-4, 0
Let y be ((-28)/(-6))/(4/(-2)) - -3. Factor 0 + 1/3*i + y*i**2 - i**3.
-i*(i - 1)*(3*i + 1)/3
Let b(u) be the second derivative of u**2 - 1/3*u**4 + 0 - 1/3*u**3 - 1/21*u**7 + 3*u + 1/15*u**6 + 1/5*u**5. Suppose b(n) = 0. Calculate n.
-1, 1
Let k be 12/3 + 3 + -3. Let l be ((-10)/k)/((-3)/6). Solve 0 + 0*y - 1/2*y**4 - 1/4*y**3 - 1/4*y**l + 0*y**2 = 0 for y.
-1, 0
Let c = 3 + -8. Let k(b) = -2*b - 6. Let n be k(c). Determine u so that 0 + 0*u**2 + 0*u**n - 1/4*u**5 + 1/4*u**3 + 0*u = 0.
-1, 0, 1
Let b(l) = -l**3 - l**2 - l + 22. Let g be 