k be c(10). Let x be k/(-165) - (-2 - (-2)/(-11)). Solve 0 + 2*g**5 - 10/3*g**3 + 2/3*g**x - 2/3*g**4 + 4/3*g = 0 for g.
-1, -2/3, 0, 1
Let z(o) = 7*o**3 + 15*o**2 + 26*o + 33. Let u(s) = -11*s**3 - 22*s**2 - 37*s - 50. Let r(x) = 5*u(x) + 8*z(x). Factor r(c).
(c + 1)*(c + 2)*(c + 7)
Let a(m) = 18*m**4 + 30*m**3 + 187*m**2 + 40*m - 240. Let y(u) = -11*u**4 - 15*u**3 - 94*u**2 - 20*u + 120. Let s(k) = -4*a(k) - 7*y(k). Factor s(x).
5*(x - 6)*(x - 1)*(x + 2)**2
Let h(w) = -2*w**5 - 42*w**4 + 50*w**3 - 21*w**2 + 15*w + 11. Let z(n) = -n**5 - n**4 + n**3 + n + 1. Let x(t) = -2*h(t) + 22*z(t). Solve x(s) = 0.
0, 4/9, 1
Suppose 10 = 6*p - p. Suppose 37*k - 32*k = 0. Factor k + 2*b + 13 - 6*b - 11 + 2*b**p.
2*(b - 1)**2
Let x(i) be the second derivative of i**7/63 - 13*i**6/45 + 11*i**5/6 - 71*i**4/18 - 40*i**3/9 + 100*i**2/3 + 44*i. Suppose x(z) = 0. What is z?
-1, 2, 5
Factor 88*c - 2272 - 2179 + 4*c**2 + 4739.
4*(c + 4)*(c + 18)
Let t(w) = -25*w - 21. Let d be t(-1). Let n(y) be the first derivative of d + 1/6*y**2 - 1/12*y**4 + 0*y**3 - 1/6*y + 1/30*y**5. Find f, given that n(f) = 0.
-1, 1
Suppose 0 = 4*o + 9 + 15. Let x = 9 + o. Factor -3*w + w**4 + 0*w - w**2 - w**3 + x*w + w**5.
w**2*(w - 1)*(w + 1)**2
Let o(l) = 3*l**2 + 2*l + 1. Let x be o(-1). Suppose -76*j = 81*j - 28*j + 73*j. Factor j*g + 1 - 1/4*g**3 - 3/4*g**x.
-(g - 1)*(g + 2)**2/4
Let j(b) be the second derivative of -b**7/28 - 9*b**6/20 + 3*b**5/20 + 9*b**4/4 - b**3/4 - 27*b**2/4 + b + 37. Solve j(g) = 0 for g.
-9, -1, 1
Suppose 0 = z + 4*i + 6, -16*z + 3*i - 3 = -18*z. Let a(j) be the second derivative of 0*j**2 + 1/20*j**5 + 1/2*j**4 + 3/2*j**3 - z*j + 0. Factor a(h).
h*(h + 3)**2
Let m(l) be the first derivative of -48*l**2 - 19*l - l**4 + 4 + 4 - 52*l + 7*l - 12*l**3. Factor m(n).
-4*(n + 1)*(n + 4)**2
Suppose -s + 6 = -3*s. Let c(l) = -7*l**3 - 2*l**2 - 5*l - 5. Let g(t) = -4*t**3 - t**2 - 3*t - 3. Let o(k) = s*c(k) + 5*g(k). Solve o(y) = 0.
-1, 0
Let r(s) = s**2 + 92*s - 8. Let h(z) = 3*z**2 + 274*z - 22. Let k(w) = -4*h(w) + 11*r(w). Solve k(x) = 0.
-84, 0
Suppose 342 = -417*w + 531*w. Factor 243/2*p + 729/2 + 1/2*p**w + 27/2*p**2.
(p + 9)**3/2
Let w = 16027 - 16027. Suppose 0*n**4 + w*n**2 - 2/3*n**5 + 0 + 0*n + 2/3*n**3 = 0. What is n?
-1, 0, 1
Let t be (-97204)/(-532) - 1/7*-2. Let c = 186 - t. What is v in -10*v**2 - 50*v - 2/3*v**c - 250/3 = 0?
-5
Find n, given that -116/3*n**3 - 112/3*n + 368/3*n**2 - 104/3*n**4 + 28/3*n**5 - 64/3 = 0.
-2, -2/7, 1, 4
Let s(k) = -k**2 + 10*k + 3. Let x(u) = -u**2 + 10*u + 2. Let j(m) = -2*s(m) + 3*x(m). Factor j(z).
-z*(z - 10)
Suppose 22 = 3*d - 50. Factor 8*z**3 + 18 - 4*z**2 - d*z - 14*z**4 - 22*z**4 + 38*z**4.
2*(z - 1)**2*(z + 3)**2
Let s(a) = -2*a**3 + 24*a**2 + 38*a + 20. Let t(u) = -6*u**3 + 49*u**2 + 76*u + 41. Let i(y) = 5*s(y) - 2*t(y). Factor i(k).
2*(k + 1)**2*(k + 9)
Factor 3 - 21/8*b - 3/8*b**2.
-3*(b - 1)*(b + 8)/8
Let z(y) be the third derivative of 0*y**3 - 1/15*y**4 - 1/150*y**5 + 6*y**2 + 0 + 0*y. Find g such that z(g) = 0.
-4, 0
Let p be (-1)/(-3)*-3*(5 - 5). Let u(w) be the third derivative of 0 + 2*w**2 - 1/60*w**4 + 1/60*w**5 + 0*w**3 - 1/150*w**6 + p*w + 1/1050*w**7. Factor u(l).
l*(l - 2)*(l - 1)**2/5
Let -94*a - 348*a**2 + 125*a**3 + 507*a + 179*a + 4*a**4 - 69*a**3 - 304 = 0. What is a?
-19, 1, 2
Factor 0 + 83/3*w**2 - w**4 + 248/3*w**3 + 0*w.
-w**2*(w - 83)*(3*w + 1)/3
Let s(n) be the second derivative of 0*n**5 + 2*n + 0*n**2 - 1/3060*n**6 + 0*n**4 + 5/6*n**3 + 0. Let a(j) be the second derivative of s(j). Factor a(k).
-2*k**2/17
Let u(l) be the first derivative of l**4/12 + 4*l**3/3 - 13*l**2/6 + 367. Factor u(i).
i*(i - 1)*(i + 13)/3
Let g be 8/(-6)*(-54)/18. Solve -17*u**3 + 11*u**3 + 2*u - 5*u**g - 9*u**2 + 18*u**3 = 0 for u.
0, 2/5, 1
Factor -2*d**2 - 2/5*d**3 - 8/5*d + 0.
-2*d*(d + 1)*(d + 4)/5
Let j(p) be the first derivative of -p**5/5 - 5*p**4/4 - 8*p**3/3 - 2*p**2 - 79. Factor j(i).
-i*(i + 1)*(i + 2)**2
Suppose 5*c - 14 + 4 = 0. Let -9*b + 3*b**2 - 10 + 12*b + 0*b**c + 4 = 0. What is b?
-2, 1
Suppose 1363 = -263*s + 3153 + 12412. Let -2/3*d**4 - 36*d**2 - s - 72*d - 8*d**3 = 0. What is d?
-3
Let g(y) be the third derivative of 3*y**6/40 - 119*y**5/20 - 61*y**4/3 - 82*y**3/3 + 121*y**2. Find r, given that g(r) = 0.
-2/3, 41
Suppose 2*n - 38 = -n + 4*y, 0 = 2*n + 5*y - 10. Let a be (-384)/112*(-14)/n. Solve 8/5 - 14/5*t**2 + a*t = 0 for t.
-2/7, 2
Let j(b) be the first derivative of 3*b**4/4 - 21*b**2/2 + 18*b + 235. Factor j(y).
3*(y - 2)*(y - 1)*(y + 3)
Let o(i) = 7*i**2 - 31*i - 25. Let y = -80 + 74. Let v(w) = 3*w**2 - 15*w - 12. Let c(d) = y*o(d) + 13*v(d). Determine r, given that c(r) = 0.
-2, -1
Let k = 90 - 196. Let h = k - -111. Determine w, given that -2/5 + 8/5*w**h - 4/5*w**3 - 4/5*w + 16/5*w**2 - 14/5*w**4 = 0.
-1, -1/4, 1
Let o(f) be the second derivative of 28*f - 1/5*f**5 + 0 - 1/5*f**6 - 1/21*f**7 + 1/3*f**4 + f**3 + f**2. Factor o(g).
-2*(g - 1)*(g + 1)**4
Factor -11/4*i - 9/2 - 1/4*i**2.
-(i + 2)*(i + 9)/4
Let a(y) be the second derivative of y**8/420 - y**6/30 + y**5/15 + 13*y**3/6 + 7*y. Let c(o) be the second derivative of a(o). Factor c(x).
4*x*(x - 1)**2*(x + 2)
Let m be ((1 + -2)/(-1))/((-8)/(-16)). Let p(n) = 41*n - 3. Let w be p(6). What is u in -w*u**m + 14*u - 20*u + 3 + 114*u - 15 = 0?
2/9
Let i(n) be the first derivative of -n**5/15 + 5*n**4/12 + 5*n**3/9 - 15*n**2/2 + 12*n + 254. Suppose i(a) = 0. What is a?
-3, 1, 3, 4
Suppose -6*c + 3 + 9 = 0. Let g be -3*(1 - c) - 1. Find w, given that w**g + 2*w**2 - 11 + 1 - 5*w**3 + 7*w**2 + 5*w = 0.
-1, 1, 2
Let u(j) be the first derivative of -34 + 4/7*j**3 - 1/14*j**4 - 8/7*j**2 + 0*j. Solve u(t) = 0 for t.
0, 2, 4
Factor 3/2*h**2 - 1/3*h**3 + 3*h + 0 - 1/6*h**4.
-h*(h - 3)*(h + 2)*(h + 3)/6
Let h(f) be the third derivative of f**7/70 - f**6/10 + 3*f**5/10 - f**4/2 + f**3/2 + 271*f**2. Solve h(a) = 0 for a.
1
Find a, given that -5/4*a**2 - 35/4*a - 15 = 0.
-4, -3
Let -40*t**2 + 20*t**3 + 15*t**3 + 13*t**3 + 32*t + 16*t**3 - 48*t**3 - 2*t**4 = 0. What is t?
0, 2, 4
Let g(n) = n**2 - 8*n + 11. Let s be g(7). Suppose h**4 - 5*h**4 + s*h**2 - 7 + 7 = 0. What is h?
-1, 0, 1
Let j = 307 - 307. Let w(b) be the third derivative of 1/12*b**4 - 1/12*b**3 + j*b + 0 - 1/40*b**5 - b**2. Factor w(t).
-(t - 1)*(3*t - 1)/2
Factor 0 - 5547/8*h - 3/8*h**3 - 129/4*h**2.
-3*h*(h + 43)**2/8
Let k(s) be the second derivative of 0 - 1/21*s**3 - 9*s + 1/70*s**5 + 1/21*s**4 - 2/7*s**2. Factor k(m).
2*(m - 1)*(m + 1)*(m + 2)/7
Let y(f) be the third derivative of -2*f**8/21 - 248*f**7/315 - 29*f**6/12 - 151*f**5/45 - 7*f**4/3 - 8*f**3/9 + f**2 + 13. Let y(j) = 0. Calculate j.
-2, -2/3, -1/4
Factor 46*k**2 - 43*k**3 - 68*k**2 + 60*k - 43*k**3 + 4*k**4 + 26*k**3 + 64 - 46*k**2.
4*(k - 16)*(k - 1)*(k + 1)**2
Let m be ((-18)/(-12))/(((-20)/(-8))/5). Let p be ((-4)/(-8))/((-1)/(-40)). Factor -8*y**2 - 13*y**m + p*y + y**3 - 20*y.
-4*y**2*(3*y + 2)
Factor -12*r - 73*r + r**2 + 126 + 16 - 19 + 43.
(r - 83)*(r - 2)
Suppose -2*f - 278 + 288 = 0. Let s(u) be the first derivative of -7/15*u**5 - 11/4*u**4 - 46/9*u**3 - 2*u**2 + f + 8/3*u. Find j such that s(j) = 0.
-2, -1, 2/7
Let v = 104788/14289 - 2/14289. Factor -v*a**4 - 2*a**5 + 8/3*a**2 + 0 - 16/3*a**3 + 0*a.
-2*a**2*(a + 2)**2*(3*a - 1)/3
Let g(l) be the second derivative of l**6/3420 - 3*l**5/380 + 14*l**3/3 + 5*l. Let f(t) be the second derivative of g(t). Let f(r) = 0. Calculate r.
0, 9
Suppose -7*i + 326 + 31 = 0. Let l be (-6)/(-34)*34/i. Factor 2/17*a**2 + l - 4/17*a.
2*(a - 1)**2/17
Suppose -5*m + 3*b = -30 + 163, b = m + 25. Let x = -9 - m. Solve x*h + 13 + 4*h**3 - 16*h**2 - 5 - 16 = 0 for h.
1, 2
Let s(g) = g**3 + 34*g**2 - 33*g + 70. Let u be s(-35). Determine p, given that 0*p**3 + 0*p**2 - 2/5*p**4 + u + 0*p = 0.
0
Let w(x) be the second derivative of x**7/70 - x**6/40 - 7*x**2 - 16*x. Let d(g) be the first derivative of w(g). Factor d(j).
3*j**3*(j - 1)
Find w, given that 140 + 10*w**2 - 1125/2*w = 0.
1/4, 56
Factor 2/7*s**3 - 2000/7 - 60/7*s**2 + 600/7*s.
2*(s - 10)**3/7
Factor 64*v**4 + 12*v**5 + 178 + 128*v**3 - 170 + 120*v**2 + 5*v + 47*v.
4*(v + 1)**3*(v + 2)*(3*v + 1)
Let m(b) = 16*b**2 + 2*b + 1. Let a be m(-1). Factor -3*n**3 + a*n**2 + 48*n - 32 - 39*n**2 + 7*n**3.
4*(n - 2)**3
