d r such that k(r) = 0.
-1, 0
Let b = -224 - -227. Let x(m) be the third derivative of 0 - 5*m**2 + 0*m - 1/15*m**b + 0*m**4 + 0*m**6 + 1/75*m**5 - 1/525*m**7. Factor x(j).
-2*(j - 1)**2*(j + 1)**2/5
Let y(k) be the third derivative of -k**7/7560 - k**6/108 - 5*k**5/18 - k**4 - 32*k**2. Let h(r) be the second derivative of y(r). Suppose h(i) = 0. What is i?
-10
Let o(h) = -2*h + 12. Let j be o(5). Factor -5*m - m**j + 7*m**2 + 5*m + 3*m**3 - 3*m**4.
-3*m**2*(m - 2)*(m + 1)
Let n(a) be the first derivative of -19 - 3/2*a**2 - 9/5*a - 1/5*a**3 + 3/20*a**4. Factor n(l).
3*(l - 3)*(l + 1)**2/5
Let k be (-662)/(-148)*(-1)/7. Let d = -5/74 - k. Solve d*y**2 + 6/7*y**3 + 1/7*y + 4/7*y**4 + 1/7*y**5 + 0 = 0.
-1, 0
Let x(q) be the first derivative of -q**8/8400 + q**7/2100 - q**6/1800 - 7*q**3/3 - 8. Let u(f) be the third derivative of x(f). Factor u(l).
-l**2*(l - 1)**2/5
Find q such that 58/5*q + 2/5*q**2 + 56/5 = 0.
-28, -1
Let i be (-26)/923 - (-576)/284. Suppose 0*h**i - 2/5*h**3 + 4/5 + 6/5*h = 0. Calculate h.
-1, 2
Let v(i) = 9*i**2 + 225*i - 12. Let u(p) = -26*p**2 - 675*p + 33. Let l(c) = 4*u(c) + 11*v(c). Find j, given that l(j) = 0.
-45, 0
Let x(a) be the third derivative of 7*a**6/780 + 9*a**5/65 - 4*a**4/39 + 105*a**2 + a. Solve x(l) = 0.
-8, 0, 2/7
Let l(h) be the first derivative of 0*h**3 - 8/25*h**5 + 4 + 1/30*h**6 - 27/10*h**2 + 0*h + 9/10*h**4. Factor l(c).
c*(c - 3)**3*(c + 1)/5
Let t(p) = -2*p**2 + 10*p - 5. Let c = 35 - 31. Let b be t(c). What is g in -2/7*g**2 - 18/7*g**b + 26/7*g**4 + 0 + 4/7*g - 10/7*g**5 = 0?
-2/5, 0, 1
Let x be (-3)/(-12) + (-285)/(-12). Factor -3*u**2 - 3*u - x - 27 + 51.
-3*u*(u + 1)
Let l(f) be the second derivative of 0 - 2*f + 5/2*f**2 - 1/240*f**6 - 1/40*f**5 + 0*f**3 - 1/24*f**4. Let z(y) be the first derivative of l(y). Factor z(q).
-q*(q + 1)*(q + 2)/2
Find g, given that -66*g**3 - 19*g**3 + 39*g**2 + g**2 + g + 10*g**4 - g = 0.
0, 1/2, 8
Let p be (-18)/(-3)*(1/(-8))/(-82 - -81). Find w, given that -3/4*w**3 + 0 + p*w**2 + 3/2*w = 0.
-1, 0, 2
Let w = 2801/7 - 5595/14. Solve w*p + 7/2*p**2 - 1/2*p**3 - 7/2 = 0.
-1, 1, 7
Let x(w) be the third derivative of w**5/12 - 25*w**4/4 + 375*w**3/2 + 4*w**2. Find q, given that x(q) = 0.
15
Let q(x) be the second derivative of x**5/10 + 17*x**4/6 - 37*x**3/3 + 19*x**2 - 154*x. Suppose q(r) = 0. Calculate r.
-19, 1
Let g be 27 + (16/(-4))/1. Factor 30 + 9*m + g*m + 5*m**2 + 3*m.
5*(m + 1)*(m + 6)
Let p(o) be the first derivative of o**8/336 - o**6/72 - 3*o**3 + 5. Let u(h) be the third derivative of p(h). Factor u(q).
5*q**2*(q - 1)*(q + 1)
Let b(k) be the first derivative of -2*k**3/3 - 532*k**2 - 141512*k + 343. Determine a so that b(a) = 0.
-266
Let s(u) be the first derivative of u**3/18 + 5*u**2/12 - 58. Let s(c) = 0. Calculate c.
-5, 0
Let x = -3 - -27/7. Let w be 2/(-4) + (-6)/(252/(-69)). Solve -2/7 - x*m + 10/7*m**2 - w*m**4 + 6/7*m**3 = 0 for m.
-1, -1/4, 1
Let g(s) be the second derivative of s**6/90 - s**5/15 + 8*s**3/9 - 5*s**2 + 12*s. Let f(q) be the first derivative of g(q). Let f(v) = 0. What is v?
-1, 2
Suppose 0 = o - 4*m - 76, 7*m = 5*o + 3*m - 412. Solve -17*p - 48 - 5*p**4 + 125*p + 2*p**4 - o*p**2 + 27*p**3 = 0.
1, 2, 4
Let m = -5 + 23. Factor -7*z - m + 3*z + 2*z**2 + 12.
2*(z - 3)*(z + 1)
Let l be 50/18 - (-2)/9. Factor -18*z**l + 12*z**2 - 57*z**2 - 39*z**3 + 6 - 21*z**4 - 3*z.
-3*(z + 1)**3*(7*z - 2)
Let h(k) be the second derivative of k**6/120 - k**5/40 - k**4/16 + k**3/6 + k**2/2 - 36*k - 2. Factor h(q).
(q - 2)**2*(q + 1)**2/4
Let s(p) be the third derivative of 0*p + p**3 + 0 + 3/8*p**4 + 0*p**5 - 1/40*p**6 - 22*p**2. Suppose s(a) = 0. Calculate a.
-1, 2
Let r(n) = 5*n - 22. Let p be r(5). What is b in 4*b**2 + 13 - 23 + 5*b**4 - 15*b + 0*b**2 + b**2 + 15*b**p = 0?
-2, -1, 1
Let p(s) = s**2 - s. Let h(j) = -7*j**3 + 9*j**2 + 31*j. Let g(y) = h(y) - 5*p(y). Let g(w) = 0. What is w?
-2, 0, 18/7
Suppose p = 9 + 1. Let g(w) = -7*w**5 + w**4 + 9*w**2 + 7*w. Let d(c) = 4*c**5 - c**4 - 5*c**2 - 4*c. Let f(q) = p*d(q) + 6*g(q). What is t in f(t) = 0?
-1, 0, 1
Factor 498*i**5 - 78*i**3 + 22*i**3 - 510*i**5 - 92*i**4.
-4*i**3*(i + 7)*(3*i + 2)
Let w(x) be the third derivative of -x**6/70 + 8*x**5/15 - 93*x**4/14 + 108*x**3/7 - 15*x**2 - 6*x. Solve w(n) = 0.
2/3, 9
Suppose 0 = 7*k - 9 - 5. Suppose 60*s**k - 32*s**2 + 6*s + 8 - 30*s**2 = 0. Calculate s.
-1, 4
Let d(m) be the second derivative of -m**6/10 - 13*m**5/20 + 13*m**4/3 - 14*m**3/3 - 142*m - 1. Let d(o) = 0. Calculate o.
-7, 0, 2/3, 2
Let w(s) be the third derivative of s**8/840 - s**7/700 - s**6/450 - s**3/3 - 17*s**2. Let f(d) be the first derivative of w(d). Find b, given that f(b) = 0.
-2/5, 0, 1
Factor 2/13*m**4 - 2/13*m**2 + 0 + 0*m**3 + 0*m.
2*m**2*(m - 1)*(m + 1)/13
Let d = -13639 - -177309/13. Factor 22/13*k**2 - 14/13*k - 10/13*k**3 + d.
-2*(k - 1)**2*(5*k - 1)/13
Let s(j) be the first derivative of 11 - 1/8*j**4 + 1/4*j**2 + j - 1/3*j**3. Factor s(n).
-(n - 1)*(n + 1)*(n + 2)/2
Let w(s) be the second derivative of 529*s**7/168 - 437*s**6/120 - 11*s**5/10 - s**4/12 - 80*s + 4. Factor w(z).
z**2*(z - 1)*(23*z + 2)**2/4
Let f(r) = -2*r**3 - 27*r**2 - 15*r - 18. Let n be f(-13). Let u(g) be the second derivative of -2*g**3 + 0*g**2 - 1/3*g**4 + 0 - n*g. Solve u(c) = 0.
-3, 0
Suppose 78*n**4 - 39*n**4 + 21 + 2*n**5 - 2*n**5 - 42*n**2 - 2*n**3 + n**5 + n - 18*n**4 = 0. Calculate n.
-21, -1, 1
Let r be ((-870)/(-75) - 10)/4. Find s, given that r*s**3 + 6*s**2 + 96/5*s - 128/5 = 0.
-8, 1
Let y(o) be the first derivative of 5*o**6/6 + 32*o**5/5 + 18*o**4 + 64*o**3/3 + 8*o**2 - 157. Find b such that y(b) = 0.
-2, -2/5, 0
Suppose -38/11*w**3 + 20/11*w**2 + 0 + 16/11*w - 42/11*w**4 = 0. What is w?
-1, -4/7, 0, 2/3
Factor 37/2*f**3 - 25 - 110*f + 61/4*f**2 + 9/4*f**4.
(f - 2)*(f + 5)**2*(9*f + 2)/4
Factor 3*b**2 + b**3 - 76*b + 67*b - 12*b**2 + b**4.
b*(b - 3)*(b + 1)*(b + 3)
Let l be (-3 + -6 + -6)/((-3)/2). Suppose -l*p = -7*p. Factor 1/5*r - 1/5*r**2 + p.
-r*(r - 1)/5
Let x(k) be the second derivative of -k**7/420 + 67*k**6/300 - 231*k**5/40 + 363*k**4/40 - 73*k + 3. Factor x(m).
-m**2*(m - 33)**2*(m - 1)/10
Let x = -320/17 - -2005/102. Let j(s) be the third derivative of x*s**3 - 5/12*s**4 + 0*s + 0 + 1/12*s**5 + 8*s**2. Find l, given that j(l) = 0.
1
Suppose -14*a = 21*a - 70. Factor -2/3*s - 4 + 2/3*s**a.
2*(s - 3)*(s + 2)/3
Factor 4/15*x**2 - 2/15*x**3 + 38/15*x - 8/3.
-2*(x - 5)*(x - 1)*(x + 4)/15
Let b(s) be the first derivative of -3*s**5/40 + 7*s**4/32 - 5*s**3/24 + s**2/16 + 58. Factor b(z).
-z*(z - 1)**2*(3*z - 1)/8
Let p(y) be the third derivative of -1/420*y**6 + 1 + 0*y**3 + 7*y**2 + 0*y**4 + 0*y - 1/105*y**5. Factor p(x).
-2*x**2*(x + 2)/7
Let y = 25 + -22. Suppose -y*d = 12*d - 13*d. What is f in -f + d - 1/2*f**2 = 0?
-2, 0
Let q(d) = 2*d**4 + 12*d**3 - 12*d**2 + 5*d. Let r(s) = -s**4 - 12*s**3 + 12*s**2 - 4*s. Let b(a) = 4*q(a) + 5*r(a). Suppose b(y) = 0. Calculate y.
0, 2
Let s = -159/23 - -1159/161. Suppose 0 + 2/7*u**5 + 0*u**2 + 0*u + 4/7*u**4 + s*u**3 = 0. Calculate u.
-1, 0
Suppose -569 = -29*v + 156. Suppose -v = -4*n - 13. Factor 2/9*q - 2/3*q**2 + 2/3 - 2/9*q**n.
-2*(q - 1)*(q + 1)*(q + 3)/9
Solve -8*f**3 - 48*f**2 + 7*f**3 + 46*f**2 - f = 0 for f.
-1, 0
Let h(i) = -2*i + 50. Let t be h(24). Factor -5*p**t + 0*p**2 + 5*p**4 + 5*p**2 - 20*p + 15*p**3.
5*p*(p - 1)*(p + 2)**2
Let f(p) = -2*p**2 + 12*p - 20. Let h(b) = 3*b**2 - 24*b + 39. Let s(z) = -z**2 - 7*z - 11. Let y be s(-6). Let m(t) = y*h(t) - 9*f(t). Factor m(n).
3*(n - 1)*(n + 5)
Let c(g) be the third derivative of 0*g**5 + 0 + 0*g**4 + 1/60*g**6 + 0*g**3 + 0*g - 7*g**2 + 1/105*g**7. Factor c(a).
2*a**3*(a + 1)
Let f(k) = -1. Let x(u) = 2*u**3 - 20*u**2 - 48*u - 6. Let v(s) = 6*f(s) - x(s). Factor v(h).
-2*h*(h - 12)*(h + 2)
Suppose 14/5*l**3 + 4/5*l**4 + 0*l + 8/5*l**2 - 2/5*l**5 + 0 = 0. What is l?
-1, 0, 4
Let s(j) = -j**5 - j**2 + 1. Let w(o) = 3*o**5 - 42*o**4 - 183*o**3 - 246*o**2 - 108*o - 6. Let l(m) = 6*s(m) + w(m). Factor l(b).
-3*b*(b + 1)**2*(b + 6)**2
Let b be (15/(-2))/(2/(-4)). Let o be (-6)/(-10) + 36/b. Solve 4/5 + 14/5*x + 16/5*x**2 + 6/5*x**o = 0.
-1, -2/3
Let w(q) be the first derivative of -q**4/28 + 3*q**3/7 - q**2 - 78. Suppose w(c) = 0. Calculate c.
0, 2, 7
Let g(k) be the f