3*y**5 - d - 5/3*y**3 + 5*y**2 - 5*y**4.
(y - 1)**3*(3*y + 2)**2/3
Factor -1/9*r**2 + 0*r - 1/9*r**4 - 2/9*r**3 + 0.
-r**2*(r + 1)**2/9
Let l(b) be the first derivative of -b**6/60 + b**4/12 + b**2/2 + 3. Let u(p) be the second derivative of l(p). Factor u(j).
-2*j*(j - 1)*(j + 1)
Let p = -6415/7 + 917. Factor p + 2*r - 8/7*r**2.
-2*(r - 2)*(4*r + 1)/7
Let f(j) be the third derivative of j**9/141120 - j**8/15680 + j**7/3920 - j**6/1680 + 7*j**5/60 + j**2. Let o(p) be the third derivative of f(p). Factor o(g).
3*(g - 1)**3/7
Let z(k) be the second derivative of -1/22*k**4 - 3/110*k**5 + 0*k**2 + 7*k - 1/165*k**6 + 0 - 1/33*k**3. Find b, given that z(b) = 0.
-1, 0
Let s(x) be the second derivative of x**7/336 + x**6/80 + x**5/160 - x**4/32 - x**3/24 - 45*x. Factor s(f).
f*(f - 1)*(f + 1)**2*(f + 2)/8
Factor 2*b - 4*b**2 + 8 - 6*b + 0*b.
-4*(b - 1)*(b + 2)
Suppose 0 = -4*r + 2*r. Let y(i) be the second derivative of r*i**3 + 2*i + 0*i**2 + 0 - 1/12*i**4. Find w such that y(w) = 0.
0
Let k be 1/(-2)*(-2 - 2). Let g(c) = -2*c**2 + 0*c**k + 2 + c**2 - 9*c. Let w(p) = p**2 + p - 1. Let i(j) = g(j) + 4*w(j). Determine o, given that i(o) = 0.
-1/3, 2
Let x(l) = l**2 + 6*l. Let i(c) = -5*c**2 - 35*c. Let k(q) = -6*i(q) - 35*x(q). Factor k(t).
-5*t**2
Factor -10/7*k + 9/7 + 1/7*k**2.
(k - 9)*(k - 1)/7
Let n(b) = -b**3 - b**2 - b + 2. Let f be n(0). Factor 0*u**2 - 1 - u**f + 2*u**2 + 0*u**2.
(u - 1)*(u + 1)
Let a(c) be the first derivative of -c**4/26 + 4*c**3/39 + 3*c**2/13 + 19. Factor a(o).
-2*o*(o - 3)*(o + 1)/13
Let 8/5*l - 2/5*l**2 - 6/5 = 0. Calculate l.
1, 3
Let b(x) be the first derivative of -x**6/48 + x**5/8 - x**4/4 + x**3/6 + 3. Factor b(h).
-h**2*(h - 2)**2*(h - 1)/8
Let v = -1 + 1. Suppose 2 = -3*z + 2*j, -19*z + 8 = -17*z + j. Let 2/5*s + 4/5*s**z + v*s**3 - 4/5*s**4 + 0 - 2/5*s**5 = 0. What is s?
-1, 0, 1
Suppose 2*g - 2 = 6. Let r(u) = u**3 + u**2 + u. Let t(b) = -5*b**3 - b**2 - 7*b + 1. Let d(k) = g*r(k) + t(k). Factor d(y).
-(y - 1)**3
Suppose 3*i + 8 = 5*i. Factor 5*t**3 + 1 - 5*t**4 - t**4 + 5*t**i - 3*t**3 - 2*t.
-(t - 1)**3*(t + 1)
Let u(w) = -3*w**5 + 11*w**4 - 28*w**3 + 28*w**2 - 2*w - 6. Let z(i) = -i**4 + i**3 + i - 1. Let s(c) = -u(c) + 6*z(c). Solve s(v) = 0 for v.
0, 2/3, 1, 2
Let i(l) be the first derivative of -1/80*l**6 - 5/48*l**4 + 0*l + l**2 - 1/12*l**3 - 7/120*l**5 + 2. Let a(q) be the second derivative of i(q). Factor a(n).
-(n + 1)**2*(3*n + 1)/2
Let m(i) = i. Let v be m(2). Find h such that 3 - 10*h - h**v - 3*h**3 + h + 0 + 10*h**2 = 0.
1
Determine a so that -12/7 + 26/7*a + 10/7*a**2 = 0.
-3, 2/5
Suppose 0 = -s - 4*c - 12, 3*c = s - 0*s - 9. Suppose s = n + 2 - 5. Find u, given that 0 + 0*u**2 + 0*u - 1/5*u**n - 1/5*u**5 + 2/5*u**4 = 0.
0, 1
Suppose -4*d + 8 = 5*h, -3*h - 2*d + 1 = -3. Determine g, given that 3 + h + 7*g**2 - 4*g**2 - 6*g = 0.
1
Let y(x) be the first derivative of 2*x**6/3 + 4*x**5/5 - 13. Solve y(h) = 0.
-1, 0
Let y(v) be the second derivative of v**7/42 - v**6/30 - v**5/5 + v**4/3 - 4*v - 7. Factor y(o).
o**2*(o - 2)*(o - 1)*(o + 2)
Let s(b) be the first derivative of -2/27*b**3 - 1/9*b**2 + 2 - 2/15*b**5 + 5/18*b**4 + 0*b. What is y in s(y) = 0?
-1/3, 0, 1
Let f = 143/3 + -47. Suppose -f*d**4 - 2*d**3 + 0 - 2*d**2 - 2/3*d = 0. Calculate d.
-1, 0
Let x(q) be the third derivative of q**6/900 - 2*q**5/225 + q**4/180 + 2*q**3/15 + 31*q**2. Factor x(l).
2*(l - 3)*(l - 2)*(l + 1)/15
Let h(p) be the first derivative of 2*p**2 + 4 - 2*p - 2/3*p**3. Suppose h(s) = 0. What is s?
1
Let l(r) be the second derivative of 2*r**7/21 + 2*r**6/15 - r**5 - r**4/3 + 16*r**3/3 - 8*r**2 - 5*r. Factor l(c).
4*(c - 1)**3*(c + 2)**2
Let a be (-121)/(-30) + (-1 - 3). Let z(c) be the second derivative of -a*c**4 + 0*c**3 + 0*c**2 - c + 0. Factor z(q).
-2*q**2/5
Let k(i) be the first derivative of 3*i**5/25 + 3*i**4/4 + 6*i**3/5 - 6*i**2/5 - 24*i/5 + 1. Factor k(a).
3*(a - 1)*(a + 2)**3/5
Let s(b) be the first derivative of 5*b**4/4 + 10*b**3/3 - 5*b**2/2 - 10*b - 6. Determine v, given that s(v) = 0.
-2, -1, 1
Let b(j) be the first derivative of -5*j**4/4 - 37*j**3/3 - 22*j**2 - 12*j + 10. Factor b(z).
-(z + 1)*(z + 6)*(5*z + 2)
Suppose -7*z + 200 - 57*z + 2*z**2 + 24*z = 0. Calculate z.
10
Suppose -3*t = 5*k + 237, -2*k + k = 2*t + 46. Let b be (-2)/(-9) - k/27. Factor 0*i + 2/9*i**b + 2/9*i**3 + 0.
2*i**2*(i + 1)/9
Factor -38*d + 6*d**2 + 12*d + 22*d - 2*d**4.
-2*d*(d - 1)**2*(d + 2)
Let o = -2993/9 - -333. Suppose -o - 112/9*k**4 - 98/9*k**3 - 32/9*k**5 + 8/9*k**2 + 22/9*k = 0. What is k?
-2, -1, 1/4
Let u(m) be the first derivative of m**4/4 + 2*m**3 - 9*m**2/2 - 5*m - 1. Let g be u(-7). Factor 10*n**2 - 4*n - g*n**3 + 2*n + 6*n**4 - 5*n**3.
2*n*(n - 1)**2*(3*n - 1)
Let s = 4/15 - -1/15. Let r(j) be the first derivative of j**2 - 1 + 0*j + s*j**3. Solve r(x) = 0.
-2, 0
Let l(m) be the third derivative of 0 + 1/160*m**6 - 1/12*m**7 + 1/12*m**5 + 0*m + 0*m**3 - 1/24*m**4 - 7/192*m**8 + 2*m**2. Find n such that l(n) = 0.
-1, 0, 2/7
Let o(d) = d**2 - 11*d - 8. Suppose -3*c - 14 = -u - 4*c, c = -4*u + 50. Let f be o(u). Factor 2/3*l**2 - 1/3 - 1/3*l**f + 1/3*l + 1/3*l**5 - 2/3*l**3.
(l - 1)**3*(l + 1)**2/3
Let u(f) be the third derivative of f**7/1890 - f**6/540 + f**5/540 + 10*f**2. Suppose u(w) = 0. What is w?
0, 1
Suppose -v - 2 = -2*v. Factor 0*x + 4 + 4*x**2 - 2*x**v - 4*x - 2.
2*(x - 1)**2
What is z in 0*z**2 + 4/3*z**4 + 16/3*z**3 + 0 + 0*z = 0?
-4, 0
Suppose 2*t = 4*g - 0*t + 2, g = 4*t - 18. Let -3/7*q + 3/7*q**g + 0 = 0. Calculate q.
0, 1
Let w be 82/5 + 2/(-5). Let h(t) = -3*t - 2. Let v be h(-6). Solve -76*q**3 - v*q + 3 + 56*q**4 - w*q**5 - 1 + 50*q**2 + 0*q = 0 for q.
1/2, 1
Suppose 0*a - 4*q = -2*a + 8, 3*a + 4*q + 8 = 0. Let p(z) be the first derivative of 1/10*z**4 + a*z + 4 + 0*z**5 - 1/15*z**6 + 0*z**2 + 0*z**3. Factor p(r).
-2*r**3*(r - 1)*(r + 1)/5
Let t(y) be the third derivative of -5*y**8/84 + 2*y**7/15 + 4*y**6/15 - 4*y**5/15 - 27*y**2. What is z in t(z) = 0?
-1, 0, 2/5, 2
Let j(h) be the first derivative of 0*h**3 - 7/20*h**5 + 0*h - 5/24*h**6 - 9 - 1/8*h**4 + 0*h**2. Find b such that j(b) = 0.
-1, -2/5, 0
Let s(o) be the second derivative of o**7/280 + o**6/120 - o**5/40 - o**4/8 - o**3 - 2*o. Let k(u) be the second derivative of s(u). Let k(n) = 0. What is n?
-1, 1
Let a = 1/80 + 31/80. Factor -a*h - 2/5*h**2 + 4/5.
-2*(h - 1)*(h + 2)/5
Let n(u) be the third derivative of u**5/30 + u**4/6 - u**3/3 - 8*u**2. Let d(z) = -2*z**2 - 4*z + 1. Let g(b) = -4*d(b) - 3*n(b). Let g(i) = 0. Calculate i.
-1
Let s(w) be the third derivative of -2/15*w**3 + 1/280*w**8 + 0 + 3*w**2 + 0*w - 1/30*w**6 + 7/60*w**4 + 2/525*w**7 + 0*w**5. Suppose s(x) = 0. Calculate x.
-2, -1, 1/3, 1
Let y be 2/(-9) - (-38)/9. Factor -w**4 + 3*w**4 - 3*w**y + 2*w**4.
w**4
Let u(b) = -5*b**3 + 14*b**2 - 32*b - 6. Let n(h) = 45*h**3 - 125*h**2 + 290*h + 55. Let a(p) = -6*n(p) - 55*u(p). Find g, given that a(g) = 0.
0, 2
Let o(s) be the first derivative of s**7/210 - s**5/30 + s**3/6 + s**2 - 4. Let t(a) be the second derivative of o(a). Factor t(m).
(m - 1)**2*(m + 1)**2
Let r(z) be the second derivative of 0*z**3 + 0*z**2 + 0 + 1/6*z**4 - 1/4*z**5 - 7/30*z**6 + 2*z. Factor r(t).
-t**2*(t + 1)*(7*t - 2)
Let i(w) be the third derivative of -w**8/1680 + w**7/350 - w**6/600 - w**5/100 + w**4/60 - 2*w**2 - 5. Find a such that i(a) = 0.
-1, 0, 1, 2
Let s(q) be the second derivative of 5*q**4/12 + 5*q**3/3 + 5*q**2/2 + 8*q. Let s(z) = 0. Calculate z.
-1
Let c(a) be the first derivative of a**6/30 - a**5/5 + a**4/2 - 2*a**3/3 + a**2/2 - a + 3. Let s(i) be the first derivative of c(i). Solve s(o) = 0.
1
Let k(p) = -p. Let y(t) = -2*t + 2. Let z be y(3). Let g be k(z). Factor -5*u**2 - 7/3*u**g + 2/3 + 19/3*u**3 + 1/3*u.
-(u - 1)**3*(7*u + 2)/3
Let q be -4*(501/30 + 2). Let f = -74 - q. What is a in -6/5*a**2 - f*a + 8*a**4 + 0 + 24/5*a**3 = 0?
-1/2, 0, 2/5
Determine l, given that 8/3 + 16/3*l**3 - 2*l**4 - 16/3*l - 2/3*l**2 = 0.
-1, 2/3, 1, 2
Suppose -5*d = p - 13, 0 = p - 5*d - 50 + 7. Suppose 5*u = -v - 11, -p = -5*v + v + 4*u. Factor 2*i**2 + 2*i**4 - i**2 - 3*i**v.
-i**2*(i - 1)*(i + 1)
Let n(q) = q**2. Let j(i) = -4*i**2 - 2*i - 1. Let s(h) = 2*j(h) + 6*n(h). Suppose s(b) = 0. Calculate b.
-1
Let y = -2697722 - -3153636698/1169. 