ve of x(u). Let p(k) = 0. Calculate k.
-1, 0, 2
Let j(a) be the second derivative of -8*a + 0 + 5/42*a**7 + 11/30*a**6 + 0*a**2 + 0*a**3 + 1/12*a**4 + 7/20*a**5. Factor j(d).
d**2*(d + 1)**2*(5*d + 1)
Let i(u) be the third derivative of -11*u**2 + 0*u + 0*u**5 + 1/42*u**3 - 1/420*u**6 + 0 - 1/1470*u**7 + 1/84*u**4. Factor i(c).
-(c - 1)*(c + 1)**3/7
Factor -16/3 - 272/3*p**2 - 130/3*p - 32/3*p**3.
-2*(p + 8)*(4*p + 1)**2/3
Let y = -75 + 90. Suppose t + 6 = 4*t. Factor 17*b**4 + y*b**3 + b**t - 5*b**4 + 2*b**2.
3*b**2*(b + 1)*(4*b + 1)
Factor -81*y - 4*y**2 + 44*y - 151*y.
-4*y*(y + 47)
Let g(d) be the first derivative of d**4 - 92*d**3/3 - 98*d**2 - 100*d - 648. Factor g(n).
4*(n - 25)*(n + 1)**2
Let a(r) be the first derivative of 1/2*r**3 + 0*r**2 + 1/2*r**4 + 26 + 0*r + 1/10*r**5. Factor a(c).
c**2*(c + 1)*(c + 3)/2
Let c be -2 + -2 + 9 + -3. Let s be (c/(-9))/((-21)/378). Factor 0 + 2/9*n**5 + 0*n**3 + 0*n**2 - 2/9*n**s + 0*n.
2*n**4*(n - 1)/9
Let c(i) = 10*i**2 + 10*i - 20. Let j(k) = k**2 + k - 2. Let p(n) = c(n) - 8*j(n). What is b in p(b) = 0?
-2, 1
Let d(k) = -5*k + 6 + 4 + 2 + 2*k**2 - 14. Let j be d(6). Factor -4*l**3 + j + 109*l**2 - 4*l**3 + l**2 - 17*l**3 - 140*l.
-5*(l - 2)**2*(5*l - 2)
Let d(c) be the first derivative of -c**6/5 - 14*c**5/25 + 21*c**4/10 - 2*c**3/15 - 18*c**2/5 + 16*c/5 + 590. What is p in d(p) = 0?
-4, -1, 2/3, 1
Let a(s) be the third derivative of -s**6/360 - s**5/60 + s**3 - 36*s**2. Let q(z) be the first derivative of a(z). Factor q(y).
-y*(y + 2)
Let i(w) be the second derivative of w**5/50 - w**4/15 - 21*w. Suppose i(k) = 0. Calculate k.
0, 2
What is z in -23 + 128 + 45*z - 20 - 3*z**2 + 77 = 0?
-3, 18
Let b = 53239/840 - 507/8. Let t(o) be the third derivative of -1/24*o**4 + 0 + 4*o**2 - 1/60*o**5 + b*o**7 + 0*o + 0*o**3 + 1/120*o**6. Solve t(v) = 0 for v.
-1, 0, 1
Let u(f) be the first derivative of 4/11*f**2 - 8/11*f**3 + 0*f - 53 + 1/33*f**6 - 12/55*f**5 + 13/22*f**4. Solve u(k) = 0 for k.
0, 1, 2
Let m(o) = -o**2 - o. Let x be 3/(-6) + (-3)/6. Let i(a) = -2*a**3 - 3*a**2 - a. Let l(n) = x*i(n) + 3*m(n). Solve l(c) = 0 for c.
-1, 0, 1
Let x = -73 + 95. Let l = x - 22. Let 5/2*k**5 + l + 7/2*k**2 - 3/2*k**3 - k - 7/2*k**4 = 0. Calculate k.
-1, 0, 2/5, 1
Let k = -3 + 4. Let p = k - -2. Suppose -8*d + 10*d - 2*d**2 - d**3 + 2*d**4 - d**p = 0. What is d?
-1, 0, 1
Suppose x - 11 = -2*g, -g = 3*g - 12. Suppose 4*d - 11 = x. Factor -25*h + 25*h - h**d.
-h**4
Let u = 265 - 265. Let a be 14/12*36/168*u. Factor 1/2*b**2 - 1/4*b - 1/4*b**3 + a.
-b*(b - 1)**2/4
Let z be (-12)/((-51)/6 - -1). Let t(k) = -3*k - 17. Let i be t(-7). Find s such that 0 - 2/5*s**i + z*s**3 + 4/5*s - 2*s**2 = 0.
0, 1, 2
Suppose -5*v = 5*a, -3*a + v = 3 - 19. Find k, given that 0*k**3 - 2 - 2*k**3 + k**5 + a*k**2 + 40*k - 39*k - 2*k**4 = 0.
-1, 1, 2
Determine f, given that 30*f**2 + 33*f**3 - f**3 - 32*f - 30*f**3 = 0.
-16, 0, 1
Factor 25/4*k + 1/4*k**3 - 5/2*k**2 + 0.
k*(k - 5)**2/4
Factor -31*t**2 + 35*t**2 - 15*t**3 - 14*t - 5 - 5 - 21*t - 44*t**2.
-5*(t + 1)**2*(3*t + 2)
Let c(i) be the first derivative of 0*i + 1/5*i**3 - 36 + 6/5*i**2. Find x, given that c(x) = 0.
-4, 0
Let r be 1221/814*(-10)/(-6). Suppose -1/2*m + r + 1/2*m**3 - 5/2*m**2 = 0. Calculate m.
-1, 1, 5
Let w(x) be the second derivative of x**5/40 - x**4/12 - 11*x**3/12 + 3*x**2 + 30*x. Factor w(o).
(o - 4)*(o - 1)*(o + 3)/2
Let o(s) be the second derivative of s**4/72 - 17*s**3/72 + 7*s**2/8 + 188*s. Factor o(w).
(w - 7)*(2*w - 3)/12
Let m(s) be the third derivative of -s**6/15 - 37*s**5/5 - 252*s**4 + 1568*s**3/3 + 749*s**2. Factor m(q).
-4*(q + 28)**2*(2*q - 1)
Factor 0*a + 648/5*a**2 + 512/5*a**4 + 0 - 28/5*a**5 - 2412/5*a**3.
-4*a**2*(a - 9)**2*(7*a - 2)/5
Let b(k) = 2*k**2 - 23*k - 25. Let u(p) = p + 1. Let y(f) = -b(f) - 3*u(f). Let y(i) = 0. Calculate i.
-1, 11
Let o(t) be the second derivative of 2*t**6/15 - t**4 + 4*t**3/3 + 173*t. Factor o(i).
4*i*(i - 1)**2*(i + 2)
Let u(v) be the second derivative of v**4/36 + 43*v**3/18 + 12*v - 6. Let u(s) = 0. Calculate s.
-43, 0
Let w = -2/1073 - -1077/2146. Let f(t) be the first derivative of w*t - 1/8*t**4 - 1/6*t**3 + 5 + 1/4*t**2. Factor f(d).
-(d - 1)*(d + 1)**2/2
Let s be (-3)/(-3) - (-3 + -117). Let h = -119 + s. Determine t, given that 8/7*t**h + 0 - 12/7*t**3 + 4/7*t = 0.
-1/3, 0, 1
Let q(n) be the first derivative of 4 + 0*n**2 + 0*n + 0*n**3 - 1/14*n**4 - 11/35*n**5 - 3/14*n**6. Factor q(c).
-c**3*(c + 1)*(9*c + 2)/7
Let m be (-784)/(-256) + (-1)/16. Factor -3/5*h**2 + 3/5*h**3 - m*h - 9/5.
3*(h - 3)*(h + 1)**2/5
Let d(f) be the second derivative of -11*f**7/168 - 13*f**6/72 - f**5/12 + 13*f**3/6 + 26*f. Let g(j) be the second derivative of d(j). Solve g(m) = 0 for m.
-1, -2/11, 0
Let q be 55*(-8)/(-40) - (-18)/(-3). Let p(i) be the third derivative of -2/15*i**q + 0 + 1/30*i**6 + 0*i + 0*i**3 - 4*i**2 + 1/6*i**4. Factor p(j).
4*j*(j - 1)**2
Let y(p) be the second derivative of -3*p**6/160 + p**5/20 + p**4/8 - p**2/2 + 23*p. Let w(x) be the first derivative of y(x). Solve w(t) = 0.
-2/3, 0, 2
Factor 2/7 + 2/7*o**3 - 2/7*o - 2/7*o**2.
2*(o - 1)**2*(o + 1)/7
Let g(a) be the first derivative of -2 - 4/9*a**3 + 7*a - 1/3*a**2 + 5/18*a**4. Let z(j) be the first derivative of g(j). Find d such that z(d) = 0.
-1/5, 1
Find r such that -1/7*r + 1/7*r**5 - 6/7 + 0*r**3 + 10/7*r**2 - 4/7*r**4 = 0.
-1, 1, 2, 3
Let y(w) be the second derivative of w**4/48 + w**3/2 - 13*w**2/8 + 6*w + 3. Find d, given that y(d) = 0.
-13, 1
Let y = -72 + 74. Let 2*h**4 + 3*h + 4 + 3*h - 8*h**3 - 6*h**4 + y*h = 0. What is h?
-1, 1
Let n be (7/8*-2)/(14/(-224)). Determine w, given that n*w**5 - 27*w**5 - w**3 - w**4 - 6*w**2 + 7*w**2 = 0.
-1, 0, 1
Let k(c) = -34*c**5 + 12*c**4 - 50*c**3 + 18*c**2 - 18*c. Let b(w) = 2*w**5 + w**4 + w**3 - w**2 + w. Let s(y) = 36*b(y) + 2*k(y). Factor s(n).
4*n**3*(n - 1)*(n + 16)
Let r(x) = -x**2 - 9*x - 12. Let b be r(-7). Let -b*n - 27 + 27 + 8*n**2 = 0. Calculate n.
0, 1/4
Let b(o) = o**2 - 6*o + 10. Let x be b(6). Let t be x/3 + 8/12. Let -3*n**2 + t*n - 3*n - 2*n + 4*n = 0. Calculate n.
0, 1
Suppose 0 = -8*g - 34 + 154. Let -2*m**5 + 1 + 7*m**4 + 18*m**3 - 2*m + 22*m**2 + g*m + 3*m**5 + 2 = 0. What is m?
-3, -1
Determine o, given that 0 + 0*o + 6/7*o**2 - 3/7*o**3 = 0.
0, 2
Let f be (-10)/(-6)*(-18)/(-6). Suppose -f*m = 10, -4*o - 2 + 0 = m. Factor -2/3*t**5 + 2/3*t**4 + 0*t + 0 + o*t**2 + 0*t**3.
-2*t**4*(t - 1)/3
Let r be 1 - (12/(-7) + 8/(-28)). Factor -9*h**2 + 3*h**2 + 6*h**2 - h**4 + h**2 - r*h + 3*h**3.
-h*(h - 3)*(h - 1)*(h + 1)
Suppose -2*u = -2*l + 28, 0 = 5*u - 22 - 3. Solve -8*s**3 - l*s**2 - 2*s**4 + 13*s**2 + 0*s**4 = 0 for s.
-3, -1, 0
Let g be (((-4)/(-16)*0)/(-1))/(-2). Let m(h) be the third derivative of 0*h**3 + g - 1/15*h**6 - 2/105*h**7 + 0*h**5 + 0*h**4 + 0*h + h**2. Factor m(a).
-4*a**3*(a + 2)
Let x be (6479/(-1085) - -6)/(9/(-5) + 2). Factor -36/7 - x*j**2 - 12/7*j.
-(j + 6)**2/7
Let k(m) be the third derivative of m**8/840 - m**6/45 - 9*m**3/2 - 22*m**2. Let r(p) be the first derivative of k(p). Solve r(i) = 0 for i.
-2, 0, 2
Let d(p) be the third derivative of p**10/211680 - p**9/52920 - p**8/15680 - 5*p**4/12 + p**2. Let h(o) be the second derivative of d(o). Factor h(v).
v**3*(v - 3)*(v + 1)/7
Let v be (-6)/20*23/((-2898)/112). Let z(f) be the first derivative of -v*f + 1/5*f**2 + 3 - 2/45*f**3. Find p, given that z(p) = 0.
1, 2
Let u = 42 - 40. Suppose -3*k - 12 = 4*o, 5 + 1 = -u*o. Factor k + 1/7*w**3 - 2/7*w**2 + 1/7*w.
w*(w - 1)**2/7
Suppose 3*n - 149 = -53. Let j = -32 + n. Factor -2/5*w**2 + 2/5 + j*w.
-2*(w - 1)*(w + 1)/5
Let d(t) be the third derivative of -1/132*t**4 + 1/660*t**5 - 1/2310*t**7 + 0 + 0*t + 0*t**3 - 26*t**2 + 1/660*t**6. Suppose d(v) = 0. What is v?
-1, 0, 1, 2
Suppose z + 7*z = 200. Let u(g) = -g**2 + 22*g + 77. Let t be u(z). Let -12/7*i**3 - 44/7*i**t - 48/7*i - 16/7 = 0. What is i?
-2, -1, -2/3
Suppose 3*m - 280 = 311. Let t = 1777/9 - m. Factor 0 - 2/3*d + 2/9*d**3 - t*d**2.
2*d*(d - 3)*(d + 1)/9
Suppose 5*h = -4*b + 6*b + 70, 4*b - 14 = -h. Suppose 6*c = -c + h. Find s such that 1/2*s**c + 0 + s = 0.
-2, 0
Let l be (14/21)/((-2)/69). Let j(k) = k**3 + 24*k**2 + 24*k + 23. Let p be j(l). Factor -4/7*z**3 + 0 + 2/7*z**4 + 2/7*z**2 + p*z.
2*z*