 g = 28 + y. Solve 2/5*d**2 - g + 1/5*d**5 - 1/5*d**4 + 1/5*d - 2/5*d**3 = 0.
-1, 1
Let v(d) be the first derivative of 5 + 0*d**2 + 0*d - 1/4*d**4 - 1/3*d**3. Find w, given that v(w) = 0.
-1, 0
Let z = -6 + 8. Let t(m) be the first derivative of 3/14*m**4 + 3 + 2/7*m**3 + 2/35*m**5 + 0*m + 1/7*m**z. Factor t(u).
2*u*(u + 1)**3/7
Let u(w) = w**4 - w**2 - w + 1. Let i(l) = l**5 - l**3 - l + 1. Let h(x) = 4*i(x) - 4*u(x). Let h(y) = 0. What is y?
-1, 0, 1
Let h(s) be the third derivative of -s**8/5040 + s**6/360 - s**5/180 - s**3/3 + s**2. Let z(l) be the first derivative of h(l). Factor z(o).
-o*(o - 1)**2*(o + 2)/3
Let u(t) be the third derivative of t**5/80 - 7*t**4/32 - t**3 + 14*t**2. Factor u(z).
3*(z - 8)*(z + 1)/4
Let s = -3 - -3. Let g(k) = k**3 - 4*k**2 + k. Let b be g(4). Factor s*n - n**2 + 2*n - b*n.
-n*(n + 2)
Factor 44/5*a - 78/5*a**2 - 8/5 + 9*a**3.
(3*a - 2)**2*(5*a - 2)/5
Let k(g) = 12*g**2 + g. Let t be k(0). Let 0*l + 0*l**2 + t*l**3 - 1/2*l**4 + 0 = 0. What is l?
0
Let i = -3 - -4. Let s(d) be the first derivative of -21*d**2 - 49*d**3 - 4*d + i - 343/8*d**4. Factor s(l).
-(7*l + 2)**3/2
Let p(s) be the second derivative of -s**5/60 - s**4/12 - s**3/6 - s**2/2 + 4*s. Let d(b) be the first derivative of p(b). Suppose d(n) = 0. Calculate n.
-1
Let z(d) be the second derivative of -d**5/10 + d**4/3 + d**3/3 - 2*d**2 + 7*d. Suppose z(w) = 0. Calculate w.
-1, 1, 2
Let z(r) = 53*r**2 + 71*r + 18. Let f(a) = 27*a**2 + 36*a + 9. Let w(x) = 11*f(x) - 6*z(x). What is s in w(s) = 0?
-1, -3/7
Let q(d) = 2*d + 4. Let i be q(0). Suppose -3*v + 0 = -k - 4, 3*v - 2*k = 2. Suppose 0*a**i + 2/3*a + 2/3*a**5 + 0*a**v + 0 - 4/3*a**3 = 0. Calculate a.
-1, 0, 1
Let t = -3239/30 - -108. Let z(j) be the third derivative of 1/24*j**4 + 1/120*j**6 + t*j**5 - 2*j**2 + 0 + 0*j + 0*j**3. Factor z(n).
n*(n + 1)**2
Suppose 1 = 3*m + f - 4, 3*m = 5*f - 25. Let r(d) be the first derivative of -1 + m*d - 1/12*d**4 - 1/3*d**3 - 1/3*d**2. Factor r(j).
-j*(j + 1)*(j + 2)/3
Suppose -4 = 2*q + 2. Let a = q + -3. Let n(m) = m**2. Let b(g) = -g**5 + 4*g**3 - 5*g**2 - 3*g + 2. Let y(s) = a*n(s) - 2*b(s). Suppose y(x) = 0. What is x?
-2, -1, 1
Suppose 0 = 4*t + 5*u, 6*u = -4*t + 7*u. Let r(i) be the second derivative of 0*i**3 + 0*i**4 + t*i**2 + 0 - i + 1/10*i**5 + 1/21*i**7 + 2/15*i**6. Factor r(g).
2*g**3*(g + 1)**2
Let i be 1 + (-2 - -3) + 0. Suppose -v + 2*v + v + v**i + 2*v = 0. What is v?
-4, 0
Let c be 1 - 9/((-27)/(-30)). Let v = 11 + c. Let -3/5 + 9/5*j**v - 6/5*j = 0. What is j?
-1/3, 1
Let r(h) be the third derivative of -h**6/24 + 5*h**4/24 - 15*h**2. Find u, given that r(u) = 0.
-1, 0, 1
Let b(t) be the third derivative of -1/32*t**4 + 0 + 0*t**3 - 1/240*t**5 + 4*t**2 + 0*t. Factor b(i).
-i*(i + 3)/4
Suppose 3*j - 2*j - 21 = -5*z, 0 = 2*z - 8. Let v be j + 3 + -2 + 1. Factor -5*n**3 + n**2 - 2*n**v + 5*n**4 + n**2.
n**2*(n - 1)*(5*n - 2)
Let w(f) = -4*f**3 + 8*f - 14. Let b(k) = 5*k**3 + k**2 - 9*k + 15. Let h(t) = -5*b(t) - 6*w(t). Factor h(y).
-(y - 1)*(y + 3)**2
Let n(a) = a**5 + 4*a**4 + 4*a**2 + 4*a. Let m be (4/(-5))/(1/(-5)). Let x(w) = -w**5 - 3*w**4 - 3*w**2 - 3*w. Let f(c) = m*x(c) + 3*n(c). Factor f(s).
-s**5
Determine j, given that 1/2*j - 5/8*j**2 + 1/8 = 0.
-1/5, 1
Let i(b) be the first derivative of -27*b**4 + 37*b**3 + 3*b**2/2 - 6*b - 6. Factor i(u).
-3*(u - 1)*(4*u - 1)*(9*u + 2)
Let h(p) = 2*p**5 - 58*p**4 + 50*p**3 - 14*p**2 + 10*p. Let c(n) = n**5 - 19*n**4 + 17*n**3 - 5*n**2 + 3*n. Let w(k) = 10*c(k) - 3*h(k). Factor w(j).
4*j**2*(j - 2)*(j - 1)**2
Factor -111*j - 57*j - 122 + 90 - 108*j**2.
-4*(3*j + 4)*(9*j + 2)
Let v(n) be the second derivative of n**9/84 - n**8/70 + n**7/210 - 3*n**3/2 - 5*n. Let w(a) be the second derivative of v(a). Determine c so that w(c) = 0.
0, 1/3
Let z(t) be the second derivative of -1/24*t**4 - 1/120*t**5 - 1/12*t**2 - 1/12*t**3 + 2*t + 0. What is m in z(m) = 0?
-1
Factor -2/9*k**3 + 8/9*k + 0 + 0*k**2.
-2*k*(k - 2)*(k + 2)/9
Let v(x) be the first derivative of -49/10*x**4 - 32/5*x**2 - 154/15*x**3 - 8/5*x - 6. Determine u so that v(u) = 0.
-1, -2/7
Let l = -24 - -433/18. Let h(d) be the second derivative of 1/36*d**4 - 1/60*d**5 + 0 - 1/6*d**2 + l*d**3 + 2*d. Suppose h(v) = 0. What is v?
-1, 1
Let f = -68 + 71. Let j(n) be the second derivative of -n + n**2 - 1/2*n**f + 0 + 1/12*n**4. Determine a, given that j(a) = 0.
1, 2
Let d(c) be the first derivative of c**2/2 + 5*c - 1. Let k be d(-5). Factor k + 2/5*z**2 - 2/5*z.
2*z*(z - 1)/5
Factor -5*z**3 - 5*z**3 + 11*z**3 - 2*z**2.
z**2*(z - 2)
Suppose 0 = -3*v + 5*v + 3*v. Solve v*b - 1/3 + 1/3*b**2 = 0 for b.
-1, 1
Let m(i) be the second derivative of -3*i**5/20 - i**4/2 + 11*i. Let m(k) = 0. What is k?
-2, 0
Suppose -4 + 40 = 6*d. Let q(k) be the second derivative of 0 + 0*k**2 - 1/84*k**7 - 1/30*k**d + 1/12*k**3 + 1/12*k**4 + 0*k**5 - k. Factor q(t).
-t*(t - 1)*(t + 1)**3/2
Factor 0 + 0*w - 1/2*w**2 - 1/2*w**5 + 1/2*w**4 + 1/2*w**3.
-w**2*(w - 1)**2*(w + 1)/2
Let j(s) = s**2 - 6*s - 11. Let x be j(8). Let a be x*1*(-2)/(-5). Factor a*c**3 + 0*c**3 + 0*c**3 - 2*c.
2*c*(c - 1)*(c + 1)
Factor 4*d**3 + 4*d**2 + 20*d + 19*d**2 + 8 - 7*d**2.
4*(d + 1)**2*(d + 2)
Find a, given that -3/7*a**2 - 3/7 - 9/7*a**3 + 6/7*a**4 + 9/7*a = 0.
-1, 1/2, 1
Let q(g) = -g**3 + 7*g**2 + g. Let f(x) = 4*x**2. Let a(d) = 7*f(d) - 4*q(d). Solve a(h) = 0 for h.
-1, 0, 1
Let n(v) = -4*v**3 + 8*v**2 - 11*v + 1. Let m(k) = -7*k**3 + 15*k**2 - 21*k + 3. Let t(h) = 3*m(h) - 5*n(h). Determine l, given that t(l) = 0.
1, 2
Let k = 145/7 + -1469/77. Determine o, given that k*o**2 + 24/11*o + 8/11 = 0.
-2/3
Let l be -1 + -6*4/(-6). What is m in 6*m**5 - 6*m**5 + 2*m**2 + 6*m**4 + 6*m**l + 2*m**5 = 0?
-1, 0
Let y = 34/99 + 6/11. Factor -y*z + 2/3 + 2/9*z**2.
2*(z - 3)*(z - 1)/9
Let d(w) be the third derivative of -w**6/30 - 2*w**5/15 + w**4/6 + 4*w**3/3 - 3*w**2. Solve d(n) = 0 for n.
-2, -1, 1
Let z be -2*((-2)/(-15))/(12/(-18)). Let f(x) be the first derivative of 4/15*x**3 + 4 - 2/25*x**5 + 0*x**4 - z*x + 0*x**2. Factor f(d).
-2*(d - 1)**2*(d + 1)**2/5
Suppose 3*r = -2*o + 6, 7 = -2*o + 3*r + 1. Determine z so that 2*z**2 + o*z**2 + 7*z - 3*z = 0.
-2, 0
Determine y, given that 0*y + 1/3*y**2 + 0 = 0.
0
Let k = 30/7 + -173/42. Let n(o) be the second derivative of k*o**4 + 2/9*o**3 + 0 - 3*o + 0*o**2. Factor n(a).
2*a*(3*a + 2)/3
Determine v so that 0 + 2/5*v**2 + 2/5*v = 0.
-1, 0
Let d = -129 - -905/7. Factor 2/7*l**3 - d - 2/7*l + 2/7*l**2.
2*(l - 1)*(l + 1)**2/7
Let j = 15/11 - 214/165. Let a(l) be the second derivative of 0 - j*l**6 + 1/5*l**5 - 2/3*l**3 + 0*l**4 + l**2 + l. Determine m, given that a(m) = 0.
-1, 1
Let g(a) = -2*a**2 - 5*a + 7. Let h(v) = v**2 + 3*v - 4. Let u(d) = 3*g(d) + 5*h(d). Factor u(p).
-(p - 1)*(p + 1)
Suppose 2*c - 6*m = -4*m - 4, -3*c + 5*m = 16. Suppose 4*p = -c*r - 12, r - 3 - 3 = 2*p. Find h, given that -5*h + r*h + 4*h**2 + 2*h + 2*h**2 = 0.
0, 1/2
Let y(c) be the second derivative of -7*c**5/80 - 5*c**4/8 - 3*c**3/2 - c**2 + 7*c. Factor y(a).
-(a + 2)**2*(7*a + 2)/4
Let w(j) be the third derivative of 1/30*j**5 + 0*j + 0*j**3 + 2*j**2 + 0 + 1/6*j**4. Determine v, given that w(v) = 0.
-2, 0
Let d be (7/14)/(20/16). Factor -2/5 + d*o**2 + 0*o.
2*(o - 1)*(o + 1)/5
Suppose 3/2*a**4 + 3*a**3 + 0 - 3/2*a**2 - 3*a = 0. Calculate a.
-2, -1, 0, 1
What is m in 0 + 1/5*m**2 - 1/5*m**4 + 0*m + 1/5*m**3 - 1/5*m**5 = 0?
-1, 0, 1
Let l be (-1643)/180 + 18/30. Let r = l + 35/4. Factor -2/9*x + r*x**3 - 2/9*x**4 + 2/9*x**2 + 0.
-2*x*(x - 1)**2*(x + 1)/9
Let b(n) be the third derivative of 1/105*n**5 + 0*n + 0 + 4/21*n**3 - 7*n**2 - 1/14*n**4. Factor b(j).
4*(j - 2)*(j - 1)/7
Let x be 140/(-42) + (-20 - 0)/(-5). Solve -1/3*z**2 - z - x = 0.
-2, -1
Let t(x) be the third derivative of -x**6/24 - x**5/3 - 25*x**4/24 - 5*x**3/3 - 15*x**2. Factor t(k).
-5*(k + 1)**2*(k + 2)
Let l(i) be the first derivative of -i**7/14 - 3*i**6/10 - 9*i**5/20 - i**4/4 - 8*i - 2. Let u(k) be the first derivative of l(k). Factor u(f).
-3*f**2*(f + 1)**3
Suppose -3*p - 6 = 0, o + 5*p + 2 = -o. Let b(u) be the first derivative of 1/6*u**o - 1 + 4/9*u**3 + 0*u - 2/5*u**5 + 0*u**2. Factor b(y).
-2*y**2*(y - 1)*(3*y + 2)/3
Let r(m) be the second derivative of m**7/21 + 2*m**6/15 - m**4/3 - m**3/3