/14 - 2*o**3/21 + 3*o + 3. Let u(y) be the first derivative of x(y). Factor u(a).
-2*a*(a + 1)*(a + 2)/7
Suppose -25 - 3 = -2*y. Suppose -y - 1 = -3*u. Determine c, given that -2/7 + 4/7*c**2 + 2/7*c - 2/7*c**4 + 2/7*c**u - 4/7*c**3 = 0.
-1, 1
Let j(l) = -2*l**3 - 12*l**2 + 2*l + 17. Let d(g) = -g**3 + g + 1. Let f(x) = 5*d(x) - j(x). Let f(b) = 0. Calculate b.
-1, 1, 4
Let r = -3 + 7. Suppose r*p = -p. Factor p*b + 0*b**2 + 0 + 1/2*b**3.
b**3/2
Let m(i) be the first derivative of -1/6*i**3 - 4 + 0*i + 1/4*i**2. Let m(c) = 0. Calculate c.
0, 1
Find m such that 8/9*m**4 + 2/9 - 8/9*m**3 + 4/9*m - 2/3*m**2 = 0.
-1/2, 1
Let t(z) be the first derivative of 2 + 0*z - 3*z**4 - 5*z**3 - 3*z**2 - 3/5*z**5. Let t(l) = 0. Calculate l.
-2, -1, 0
Suppose 11 + 3 = 2*x. Let l = x - 1. Factor -3*h**4 + l*h**3 + 4*h**3 - 5*h**3 + h**3 + 3*h**2 - 6*h.
-3*h*(h - 2)*(h - 1)*(h + 1)
Let o be 0/(-1) - (-16)/76. Let p = 88/57 - o. What is x in 4/3 + 1/3*x**2 - p*x = 0?
2
Let r be 9/27 + 10/6. Suppose 0 - 2/7*u**r - 4/7*u = 0. What is u?
-2, 0
Let w(i) = -8*i**4 + 3*i**2. Let n(o) = -12*o**4 + 5*o**2. Let x(g) = 5*n(g) - 7*w(g). Factor x(d).
-4*d**2*(d - 1)*(d + 1)
Let g be (-3)/18 - 9/(-6). Let i(d) be the second derivative of 8/9*d**3 - 1/6*d**5 + g*d**2 - d + 0 - 7/18*d**4. Factor i(n).
-2*(n - 1)*(n + 2)*(5*n + 2)/3
Let t be (-2)/(-2 + 8/(-36)). Let q(j) be the first derivative of 15/8*j**4 + 0*j - 2 + j**3 + t*j**5 + 0*j**2. Determine u so that q(u) = 0.
-1, -2/3, 0
Let z(o) be the third derivative of o**7/945 + o**6/90 + 13*o**5/270 + o**4/9 + 4*o**3/27 + o**2. Let z(i) = 0. Calculate i.
-2, -1
Let u = 30 - 46. Let c be (u/(-14))/(12/14). Let -2/3*s**4 + 0*s + 0 - 2/3*s**2 + c*s**3 = 0. What is s?
0, 1
Suppose -134 = -2*w - 128. Let 0*t + 2/3*t**w + 0 + 2/3*t**2 = 0. Calculate t.
-1, 0
Suppose -5*w + 1624 = 2*p, -5*w + 3*p - 8*p + 1630 = 0. Factor -162*j**2 - w*j - 3*j**4 - 222 - 5*j**3 - 21 - 31*j**3.
-3*(j + 3)**4
Let j(o) be the third derivative of 4*o**7/105 - o**6/20 - o**5/6 + o**4/4 + o**3/3 + 14*o**2. Suppose j(d) = 0. Calculate d.
-1, -1/4, 1
Let -1 + 2*d**2 + 3*d**2 - d - 1 - 4*d**2 = 0. Calculate d.
-1, 2
Suppose -2*k = -k + 9. Let m be k/(-36)*(-16)/(-6). Factor 0 + 2/3*p - m*p**2.
-2*p*(p - 1)/3
Factor 1/3*s**3 + 0 + 0*s**2 + 0*s + 1/3*s**4.
s**3*(s + 1)/3
Let j(l) be the first derivative of l**3 + 2*l + 4 + 7/2*l**2. Determine x so that j(x) = 0.
-2, -1/3
Factor -4*w + 7*w**3 + 4*w**2 + 2*w**2 - 4*w**4 - 2*w**2 - 3*w**3.
-4*w*(w - 1)**2*(w + 1)
Let l(t) be the third derivative of -t**8/56 + t**7/20 + 3*t**6/40 - 7*t**5/40 - t**4/8 - 2*t**2. Determine d, given that l(d) = 0.
-1, -1/4, 0, 1, 2
Let v(y) be the first derivative of y**6/3 + 12*y**5/5 + 6*y**4 + 20*y**3/3 + 3*y**2 - 2. Factor v(h).
2*h*(h + 1)**3*(h + 3)
Let l be 1/6*(4 - -5). Determine o so that -3 + l*o + 3/2*o**2 = 0.
-2, 1
Let i(k) be the first derivative of 1/1080*k**6 + 0*k**2 - 1/3*k**3 + 1/180*k**5 - 1 + 1/72*k**4 + 0*k. Let o(y) be the third derivative of i(y). Factor o(z).
(z + 1)**2/3
Let n(l) = -92*l**3 + 228*l**2 + 64*l. Let c(y) = 61*y**3 - 152*y**2 - 43*y. Let d(g) = 8*c(g) + 5*n(g). Let d(v) = 0. What is v?
-2/7, 0, 3
Let h(c) = 9*c**4 + c**3 - 15*c**2 - c + 6. Let p(j) = 55*j**4 + 5*j**3 - 90*j**2 - 5*j + 35. Let x(v) = 25*h(v) - 4*p(v). Let x(y) = 0. What is y?
-2, -1, 1
Determine v, given that 6/7*v - 6/7*v**3 - 2/7*v**4 + 0 + 2/7*v**2 = 0.
-3, -1, 0, 1
Let p(o) = -o**2 + 3*o. Let b be p(2). Let 0*y**4 - 2/11*y - 2/11*y**5 + 0 + 0*y**b + 4/11*y**3 = 0. Calculate y.
-1, 0, 1
Let y(u) be the second derivative of u**8/840 - u**7/180 + u**6/270 + u**3/6 - u. Let o(r) be the second derivative of y(r). Factor o(v).
2*v**2*(v - 2)*(3*v - 1)/3
Let d(m) = -24*m**2 + 14*m - 4. Let w(r) be the third derivative of r**5/12 - r**4/8 + r**3/6 - 5*r**2. Let f(x) = -3*d(x) - 14*w(x). Let f(c) = 0. Calculate c.
-1, 1
Let n be 18*-6*8/(-168). Factor -2*m + n*m**3 - 54/7*m**5 + 20/7*m**2 - 54/7*m**4 + 2/7.
-2*(m + 1)**2*(3*m - 1)**3/7
Let k(v) = 9*v**4 - 24*v**3 + 9*v**2 + 3*v. Let r(n) = -17*n**4 + 47*n**3 - 19*n**2 - 7*n. Let a(f) = 7*k(f) + 3*r(f). Solve a(g) = 0 for g.
0, 1/4, 2
Let j(s) be the first derivative of s**3/3 - 4*s**2 + 7*s - 27. Factor j(u).
(u - 7)*(u - 1)
Let x(j) be the first derivative of -j**6/40 - j**5/4 - j**4 - 2*j**3 - 3*j**2/2 + 3. Let f(n) be the second derivative of x(n). Factor f(i).
-3*(i + 1)*(i + 2)**2
Let -162*u**4 + 126*u**3 + 42*u**5 - 41*u**2 + 3*u**2 + 12*u**5 + 4*u = 0. Calculate u.
0, 1/3, 2
Let n be (-2)/8 - 4*(-4)/64. Let p(r) be the first derivative of -1/9*r**6 + 0*r**4 + n*r**3 + 3 + 0*r + 0*r**2 + 0*r**5. Determine q so that p(q) = 0.
0
Let n(l) be the first derivative of 1/3*l**3 - 1/10*l**5 + 2*l + 2/15*l**6 - 1/2*l**4 - 1 + l**2. Let a(j) be the first derivative of n(j). Factor a(t).
2*(t - 1)**2*(t + 1)*(2*t + 1)
Let m(y) be the first derivative of 0*y**4 - 2/5*y**5 + 2/3*y**3 + 0*y**2 - 4 + 0*y. Solve m(s) = 0 for s.
-1, 0, 1
Let k(a) = -a**2 - a - 1. Let w = -17 + 19. Let i(x) = -2*x**2 + 3*x - 5. Let s(r) = w*i(r) - 2*k(r). Find v, given that s(v) = 0.
2
Let i(z) be the third derivative of 0*z**3 + 0*z**5 + 1/60*z**6 + 0 + 0*z**7 - 1/336*z**8 - 1/24*z**4 - z**2 + 0*z. Factor i(a).
-a*(a - 1)**2*(a + 1)**2
Let x(n) = -21*n**2 - 30*n + 12. Let k(w) = w**2 - w. Let l(j) = -6*k(j) + x(j). Let h(s) = 7*s**2 + 6*s - 3. Let i(v) = 9*h(v) + 2*l(v). Factor i(a).
3*(a + 1)*(3*a - 1)
Let f be -6 - (-45)/(7 + -2). Let g(j) be the first derivative of 4 + 3/4*j - 1/4*j**2 - 1/12*j**f. Factor g(o).
-(o - 1)*(o + 3)/4
Suppose 27/5*g**2 + 3/5*g**5 + 0 + 0*g + 9*g**3 + 21/5*g**4 = 0. What is g?
-3, -1, 0
Suppose 0 = 4*j + 3*j. Let u(b) be the first derivative of 1 + 2/5*b**5 - 2*b**2 + j*b - 2*b**4 + 10/3*b**3. Let u(q) = 0. Calculate q.
0, 1, 2
Suppose -618*a + 616*a = -4. Let i be (-38)/(-14) + (-4)/(-14). Factor -2/7*u**i - 4/7*u**a + 2/7*u + 4/7.
-2*(u - 1)*(u + 1)*(u + 2)/7
Let x be 2/10 - (-22)/(-360)*3. Let p(f) be the third derivative of x*f**4 + 0 + 1/15*f**3 - 1/150*f**5 + f**2 - 1/300*f**6 + 0*f. Solve p(d) = 0 for d.
-1, 1
Let x(n) be the second derivative of 2*n + 0*n**2 + 0 - 1/240*n**5 + 1/96*n**4 - 1/2*n**3 + 1/1440*n**6. Let w(f) be the second derivative of x(f). Factor w(m).
(m - 1)**2/4
Suppose -3*c + 6 = 4*a - 9, -25 = 3*a - 5*c. Let l(p) be the second derivative of -3*p + 1/3*p**3 + a - 1/12*p**4 + 0*p**2. Factor l(b).
-b*(b - 2)
Let a = -58 - -61. Suppose 2/7*m**4 - 2/7*m**2 + 0 + 0*m**a + 0*m = 0. Calculate m.
-1, 0, 1
Let d(w) be the first derivative of 3 + 2/5*w**2 + 2/15*w**3 + 2/5*w. Factor d(c).
2*(c + 1)**2/5
Let p be (3/(-2))/((-15)/30). Suppose -m + 0*m + 4 = 0. Suppose -1/2 - 4*v**p - v**5 + v + 7/2*v**m + v**2 = 0. What is v?
-1/2, 1
Suppose 16 = 5*n - n. Suppose -2*p = n*l + 4, -2*l - 14 = -2*p + 3*l. Factor 5 - 4*b + p*b**2 - 1 - 2.
2*(b - 1)**2
Let c(n) = -n**3 - 1. Let u be 2*12/(-8) + -2. Let t(l) = -4*l**3 - 12*l**2 + 11*l + 3. Let y(a) = u*c(a) - t(a). Solve y(p) = 0 for p.
-2, 1/3
Let r(a) be the first derivative of a**5 - 5*a**4/2 - 20*a**3/3 + 20*a**2 + 1. Factor r(g).
5*g*(g - 2)**2*(g + 2)
Factor 14*g - 120*g**3 - 40*g**4 - 36*g - 6*g**5 + g**5 - 160*g**2 - 58*g.
-5*g*(g + 2)**4
Let g(z) be the first derivative of 1/3*z**6 + 0*z**2 + 0*z**4 + 0*z + 0*z**3 + 5 - 2/5*z**5. Factor g(n).
2*n**4*(n - 1)
Let i be 3 + 2/(-4 - -2). Let y be 6/33 - (-217)/77. Factor -2/3*u**4 + 0*u**y - 1/3*u**5 + 2/3*u**i + 1/3*u + 0.
-u*(u - 1)*(u + 1)**3/3
Suppose a - 3*a = 0. Let j = 77/2 - 38. Determine p so that -j*p + a - 1/4*p**2 = 0.
-2, 0
Let k(d) = 3*d**3 - 4*d**2 - 7*d + 5. Let r(p) = 4*p**3 - 4*p**2 - 8*p + 6. Let u = -9 + 15. Let v(j) = u*k(j) - 5*r(j). Determine a so that v(a) = 0.
-1, 0
Let m(s) be the second derivative of -s**8/10080 + s**6/1080 - s**4/4 - 2*s. Let z(h) be the third derivative of m(h). Factor z(v).
-2*v*(v - 1)*(v + 1)/3
Factor 6*r**3 + 0*r**5 + 3*r**2 + 5*r**2 + 8*r**4 + 2*r + 6*r**3 + 2*r**5.
2*r*(r + 1)**4
Let l be (70/4)/(-7)*2 - -5. Factor 8/11*y + l + 2/11*y**2.
2*y*(y + 4)/11
Let y = 33 - 45. Let s be (y/21)/((-15)/21). Factor 0 - s*w**3 - 2/5*w + 1/5*w**4 + w**2.
w*(w - 2)*(w - 1)**2/5
Suppose 0*u = 4*u - 8. Let d be u/4 - 36/(-8). Suppose 2*v - d*v**3 + 0*v**3 + 3*v**3 = 0. Calculate v.