 19/840*n**6. Factor c(q).
(q - 1)*(q + 2)**3*(4*q - 1)/7
Let b be 0 + (-1 - 20/(-175)). Let w = b - -9/7. Factor 2/5 + 0*p - w*p**2.
-2*(p - 1)*(p + 1)/5
Let m(y) be the second derivative of y**6/45 - y**5/15 + y**4/18 + 9*y. Factor m(a).
2*a**2*(a - 1)**2/3
Let d = 17 + -10. Let l be (0 - -1) + d/(-14). Determine j so that -l*j**2 + 1/2 - j**3 + j = 0.
-1, -1/2, 1
Determine t, given that 2*t**3 + 8*t**3 - t**3 - 4*t**2 - 8*t**3 = 0.
0, 4
Let b(g) = -g**3 + 2*g**2 + 3. Let m be b(2). Let k(v) be the first derivative of 1/25*v**5 + 0*v**2 - 1/30*v**6 + 0*v - 1 + 1/20*v**4 - 1/15*v**m. Factor k(l).
-l**2*(l - 1)**2*(l + 1)/5
Let m be 3 + (-54)/9 + 5. Suppose -2/5*w**m + 2/5*w**3 + 0 + 0*w = 0. What is w?
0, 1
Let h = 3/62 + 97/558. Let -h*s**2 + 0 + 2/9*s = 0. Calculate s.
0, 1
Suppose 4*g = -8, 2*g = -s + 5*s - 20. Suppose -5*u = -25, -3*l - l + s*u = 12. Factor -3 + 1 - 2*b**l - 2*b**3 + 2*b**4 + 2 + 2*b.
2*b*(b - 1)**2*(b + 1)
Let b be (2 - (-26)/(-8))*8/(-20). Factor -1/2*h**3 - b*h - h**2 + 0.
-h*(h + 1)**2/2
Let o(u) = -2*u**3 - 8*u**2 - u + 2. Let l(b) = 3*b**3 + 7*b**2 - b - 3. Let x(n) = 3*l(n) + 2*o(n). Determine p so that x(p) = 0.
-1, 1
Let q(i) = -14*i**3 + 6*i - 8. Let a(c) = 5*c**3 - 2*c + 3. Let v = -1 + 9. Let t(u) = v*a(u) + 3*q(u). Factor t(r).
-2*r*(r - 1)*(r + 1)
Suppose 0 - 32/3*i + 112/3*i**2 - 50/3*i**3 + 2*i**4 = 0. Calculate i.
0, 1/3, 4
Let f(z) be the third derivative of -z**6/40 + z**5/60 + z**4/12 + z**3/6 - 3*z**2. Let b be f(-1). Factor -2/3*t**b + 0*t**2 + 2/3*t + 0.
-2*t*(t - 1)*(t + 1)/3
Factor -19*y**4 + 38*y**2 - 37*y**3 + 5*y**3 - 10*y + 11*y**4.
-2*y*(y + 5)*(2*y - 1)**2
Determine m so that 14 - 6*m**3 + 2*m**4 - 2*m - 14 + 6*m**2 = 0.
0, 1
Let l = -487 + 487. Let l - 1/9*k**2 + 1/9*k = 0. Calculate k.
0, 1
Let d be (-26)/117*(-6144)/1. Let g = -1352 + d. Factor -50/3*n**2 - 8/3 + g*n.
-2*(5*n - 2)**2/3
Let k = 1 + 2. Factor 19*f + 16*f**2 - 3*f - 3*f**5 + 4 - 2*f - 4*f**4 + 4*f**k + f**5.
-2*(f - 2)*(f + 1)**4
Let z(w) = -9*w**2 - 13*w + 1. Let q(c) = 15*c**2 - 1 - 15*c - 2*c**2 + 34*c + 0. Let y(s) = 5*q(s) + 7*z(s). What is b in y(b) = 0?
-1
Suppose 13 = -2*j + 4*s - 5*s, -3*s + 15 = 0. Let m(c) = 21*c**2 - 105*c + 201. Let p(w) = 5*w**2 - 26*w + 50. Let v(t) = j*p(t) + 2*m(t). Factor v(b).
-3*(b - 4)**2
Let v(t) be the second derivative of -t**5/40 + t**3/3 + 31*t. Factor v(j).
-j*(j - 2)*(j + 2)/2
Let b(t) be the second derivative of -t**4/4 + t**3 - 3*t**2/2 - 6*t. Suppose b(a) = 0. What is a?
1
Let r(z) be the second derivative of -z**4/12 - 5*z**3/6 - 2*z**2 - 8*z - 2. Factor r(o).
-(o + 1)*(o + 4)
Let -2/5*v + 8/5*v**4 + 8/5*v**2 - 12/5*v**3 - 2/5*v**5 + 0 = 0. Calculate v.
0, 1
Factor 4*u - 8 - 4*u**2 + 5*u**2 + 3*u**2.
4*(u - 1)*(u + 2)
Let g(k) be the second derivative of 0 - 1/84*k**4 + 0*k**3 + 1/14*k**2 - 5*k. Let g(b) = 0. What is b?
-1, 1
Let p = 17 - 15. Factor z**2 - z**2 + z**2 + z**p.
2*z**2
Let u(y) be the first derivative of 0*y**2 + 0*y + 0*y**4 + 1/5*y**5 - 2 - 1/3*y**3. Determine w, given that u(w) = 0.
-1, 0, 1
Let s(v) be the second derivative of 0*v**2 - 1/6*v**4 + 1/20*v**5 + 0 - 4*v + 1/6*v**3. Find b such that s(b) = 0.
0, 1
Let r(g) = g**3 - g**2 + 4. Let c be r(0). Let p(s) = -s**3 - 7*s**2 - 8*s - 8. Let q be p(-6). Solve t**4 + q - c + 3*t**3 + 3*t**2 + t = 0.
-1, 0
Let k(w) = 8*w**2 - 14*w + 2. Let r(l) = 13*l**2 - 27*l + 5 - 4*l**2 + 6*l**2. Let a(g) = 11*k(g) - 6*r(g). Factor a(n).
-2*(n - 2)**2
Suppose -5*v + 24 - 64 = 0. Let r be (2/v)/((-5)/4). Determine u so that 4/5*u**2 - r*u**3 - u + 2/5 = 0.
1, 2
Let t(k) be the second derivative of -k**4/21 - 8*k**3/21 - 8*k**2/7 + 6*k. Solve t(c) = 0.
-2
Suppose 3*d = -4*z + 8*d + 18, 20 = 5*z - 5*d. Let x(o) be the first derivative of -3*o - 5*o - z - 12*o**2 + 0*o - 6*o**3. Let x(u) = 0. Calculate u.
-2/3
Let h = 3/253 - -244/759. Suppose 0*c**2 + 1/3*c**5 + 0 + 0*c + 2/3*c**4 + h*c**3 = 0. What is c?
-1, 0
Let x(f) be the first derivative of 0*f**2 - 5 + 0*f**3 + 0*f + 2/75*f**5 - 1/30*f**4. Factor x(d).
2*d**3*(d - 1)/15
Let t(s) be the third derivative of -s**8/840 + s**6/150 - s**4/60 + 2*s**2. Factor t(r).
-2*r*(r - 1)**2*(r + 1)**2/5
Let w(f) be the third derivative of 0*f + 0 + f**4 + 2/15*f**6 + 3*f**2 - 2/3*f**3 - 3/5*f**5. Suppose w(d) = 0. What is d?
1/4, 1
Factor -1/5*i**3 + 0 - 3/5*i**2 - 2/5*i.
-i*(i + 1)*(i + 2)/5
Let k(f) be the first derivative of -5*f**3/3 - 27*f**2/2 - 10*f + 7. Factor k(b).
-(b + 5)*(5*b + 2)
Let n(d) be the first derivative of d**5/300 + d**4/20 + 3*d**3/10 + 3*d**2 + 3. Let x(o) be the second derivative of n(o). Solve x(h) = 0.
-3
Let y be 1564/420 + -3 + 0. Let g = y + -2/35. Let 5/3*x**2 + 0 - 4*x**3 + g*x = 0. Calculate x.
-1/4, 0, 2/3
Let d(g) be the third derivative of -g**7/210 - g**6/20 - 3*g**5/20 - g**4/6 + 40*g**2. Factor d(h).
-h*(h + 1)**2*(h + 4)
Factor -11/4*x**2 + 3/4*x**3 - 1 + 3*x.
(x - 2)*(x - 1)*(3*x - 2)/4
Let w(j) be the first derivative of -8*j + j**4 + 1 - 6*j**3 + 6/5*j**5 - 12*j**2. Factor w(d).
2*(d - 2)*(d + 1)**2*(3*d + 2)
Suppose -2*g = 2*y + 6, -7*y = g - 3*y + 12. Factor -2/5*z + g + 2/5*z**2.
2*z*(z - 1)/5
Suppose t = 4*k - 12, -2*k - 9 = -3*t - 5*k. Suppose t*l = -l. Factor -3 + 6 + 6*x - 1 + 6*x**2 + 2*x**3 + l*x.
2*(x + 1)**3
Let t(y) be the third derivative of y**5/60 - 7*y**2. Let v(l) = -4*l**2 + l. Let c(h) = 7*t(h) + 2*v(h). Solve c(z) = 0 for z.
0, 2
Let a(x) be the third derivative of x**11/1663200 + x**10/378000 + x**9/302400 - x**5/60 - 3*x**2. Let c(t) be the third derivative of a(t). Solve c(k) = 0.
-1, 0
Let t(g) = g**2 + 4*g + 4. Let o be t(-4). Factor -z**o - 2*z**3 + 4*z**2 - 7*z**3 + 4*z**5 + 5*z**3 - 3*z**4.
4*z**2*(z - 1)**2*(z + 1)
Let y(d) be the third derivative of d**7/840 - d**5/80 - d**4/48 - 4*d**2. Factor y(f).
f*(f - 2)*(f + 1)**2/4
Let h(d) be the third derivative of -d**7/1540 + d**6/990 + d**5/660 - d**3/6 + 3*d**2. Let f(l) be the first derivative of h(l). Find m such that f(m) = 0.
-1/3, 0, 1
Let s(j) = -j**2 + 9*j + 1. Let i be s(9). Find u such that u + u**2 - 2*u**5 + u**2 - u**4 + 3*u**5 - i - 2*u**3 = 0.
-1, 1
Let m(t) = 4*t**3 - 5*t**2 + 2*t - 1. Let y be m(1). Find d such that 1/5*d**4 + 0*d - 2/5*d**3 + y + 1/5*d**2 = 0.
0, 1
Factor 9/4 - 9/4*n + 1/4*n**3 - 1/4*n**2.
(n - 3)*(n - 1)*(n + 3)/4
Let v(g) be the second derivative of g**6/1620 + g**5/540 - g**4/54 - 2*g**3/3 + 2*g. Let w(t) be the second derivative of v(t). Factor w(a).
2*(a - 1)*(a + 2)/9
Let h(k) be the second derivative of 1/36*k**4 + k - 1/90*k**6 + 0*k**2 + 0 - 1/60*k**5 + 1/18*k**3. Suppose h(g) = 0. What is g?
-1, 0, 1
Solve 0 + 1/2*f + 1/4*f**2 = 0.
-2, 0
Let g(a) be the second derivative of a**7/357 - a**6/255 - a**5/85 + a**4/51 + a**3/51 - a**2/17 + 8*a. Find k such that g(k) = 0.
-1, 1
Factor 5/6*t**5 + 2*t**4 + 0*t + 0*t**2 + 2/3*t**3 + 0.
t**3*(t + 2)*(5*t + 2)/6
Let z be 2/(-4)*0/(-3). Let k(v) be the second derivative of z*v**4 + 0 - 1/10*v**5 + 0*v**2 + 0*v**3 + v. Factor k(c).
-2*c**3
Let c(i) be the second derivative of -i**8/10080 + i**7/1260 - i**4/4 - 3*i. Let p(u) be the third derivative of c(u). What is v in p(v) = 0?
0, 3
Let i(o) = o**3 + o**2 + o - 1. Let k(g) be the first derivative of g**6/6 - 3*g**4/4 - g**3/3 + g - 1. Let p(s) = -i(s) - k(s). Suppose p(f) = 0. What is f?
-1, 0, 1
Let k(u) = -13*u + 39. Let j be k(3). Let j + 2/9*p**3 + 2/9*p**4 - 2/9*p**2 - 2/9*p**5 + 0*p = 0. Calculate p.
-1, 0, 1
Let l be (-5)/6*(9/5)/(-3). Solve -1/2*g - l*g**2 + 0 = 0.
-1, 0
Let d(p) be the third derivative of -p**5/12 - 5*p**4/12 + 16*p**2. Let d(m) = 0. What is m?
-2, 0
Let i(w) be the third derivative of w**5/12 - 5*w**4/4 - 27*w**2. Factor i(f).
5*f*(f - 6)
Solve 884/5*h**2 + 16/5 - 224/5*h - 676/5*h**3 = 0 for h.
2/13, 1
Let i(c) be the second derivative of c**7/1680 - c**6/720 + c**3/6 + 3*c. Let q(w) be the second derivative of i(w). Factor q(u).
u**2*(u - 1)/2
Let s(z) = 5*z**4 + 4*z**3 + 5*z**2. Let n(o) = 9*o**4 + 8*o**3 + 9*o**2. Let l be 3/(-1) + (8 - 10). Let v(i) = l*s(i) + 3*n(i). Factor v(q).
2*q**2*(q + 1)**2
Let v(c) be the first derivative of -7*c**4/4 - 8*c**3/3 - c**2/2 - 3*c + 3. Let z(g) = g**4 + 7*g**3 + 7*g**2 + g + 2. Let l(u) = 2*v(u) + 3*z(u). Factor l(b).
b*(b + 1)**2*(3*b + 1)
Factor 33/2 + 3/2*v*