70*g**5 + 0*g - 1/54*g**4 - 5*g**2 - 1/27*g**3 + q. Let i(u) = 0. What is u?
-1
Let j(w) be the first derivative of 2/5*w**4 + 32/5*w - 2/5*w**5 - 22 + 1/15*w**6 + 32/15*w**3 - 32/5*w**2. Find s, given that j(s) = 0.
-2, 1, 2
Suppose w + 2*w - 15 = 0, 5*d - 35 = w. Factor -4*c + c**4 - 7*c**3 + d - 12*c**2 - 19*c**3 + 30*c**3 + 3*c**4.
4*(c - 1)**2*(c + 1)*(c + 2)
Let n(p) be the first derivative of -7*p**6/120 - p**5/20 + p**4/16 - 22*p - 45. Let m(k) be the first derivative of n(k). Factor m(h).
-h**2*(h + 1)*(7*h - 3)/4
Solve -5/3*x**3 + 2/3*x - 1/3*x**2 + 0 - 2/3*x**4 = 0.
-2, -1, 0, 1/2
Suppose 3*o**2 - 18*o**2 + 7*o**2 + 8*o**2 + 4*o**2 - 4*o = 0. Calculate o.
0, 1
Suppose -9*a = -295 + 241. Let s(b) be the first derivative of -1/13*b**2 - 2/39*b**3 + 0*b + a. Determine x, given that s(x) = 0.
-1, 0
Let a be (0 - (-3)/1) + 1. Suppose 0 = n + a*l, 2*n + l - 21 = -0*l. Determine p so that -n*p**4 + p**3 - 5*p**3 + p**3 + p**2 + 5*p**2 + 9*p**5 = 0.
-2/3, 0, 1
Solve 0*n**3 + 4/7*n**5 - 8/7*n**2 - 4/7*n + 8/7*n**4 + 0 = 0.
-1, 0, 1
Let t(g) be the first derivative of -5/9*g**3 + 5/3*g**2 + 5*g - 15. Suppose t(j) = 0. What is j?
-1, 3
Let q(r) = -r**3 - 13*r**2 - 12*r + 16. Let k be q(-12). Let d be 11/11 - -2*(-6)/k. Find g such that -3/4*g**4 + 0 - d*g**5 + 0*g - 3/4*g**3 - 1/4*g**2 = 0.
-1, 0
Let g(h) be the first derivative of -h**7/3780 - h**6/540 + h**4/27 + h**3 - 18. Let j(y) be the third derivative of g(y). Solve j(t) = 0.
-2, 1
Let t(r) = -10*r**4 - 70*r**3 - 190*r**2 - 155*r. Let h(v) = -5*v**4 - 36*v**3 - 96*v**2 - 78*v. Let n(i) = 5*h(i) - 2*t(i). Factor n(q).
-5*q*(q + 2)**2*(q + 4)
Suppose x + 2*r = -3, x - 11 = 4*r + r. Let f = 3 - x. Factor f*t**2 + 5*t**2 - 12*t - 3*t**2.
4*t*(t - 3)
Suppose 4*z + 15 + 5 = 0, 2*z + 22 = 3*i. Factor 7*p**4 - i*p**4 - 2*p**3 + 4*p**4 + 4*p**3.
p**3*(7*p + 2)
Find f such that 8*f**2 + 0 + 1/3*f**4 - 3*f**3 - 20/3*f = 0.
0, 2, 5
Let -4*n**2 - n**2 + 40*n - 1913 + 1833 = 0. What is n?
4
Let v(u) = 44*u**2 - 2752*u + 155984. Let a(i) = -14*i**2 + 917*i - 51994. Let t(y) = 16*a(y) + 5*v(y). Solve t(p) = 0.
114
Let w(d) = -5*d**2 - 2*d - 137. Let u(q) = 2*q**2 + 46. Let k(r) = -11*u(r) - 4*w(r). Factor k(x).
-2*(x - 7)*(x + 3)
Let v(u) be the first derivative of -1/3*u**3 + 7 - 3*u - 2*u**2. Factor v(j).
-(j + 1)*(j + 3)
Let l be (2/7)/(10/140). Factor -5*a + 3*a + l*a + a**2 - 4*a.
a*(a - 2)
Suppose 0 = -3*o + 3*h + 93, -2*h - h - 12 = 0. Factor 12*k**2 + 17*k**2 + 8*k + 8 - o*k**2.
2*(k + 2)**2
Let a(s) = -s**3 - 66*s**2 + 60*s - 465. Let l be a(-67). Let u(h) be the second derivative of 27/20*h**5 - 9/2*h**l + 0 - 8*h - 2*h**3 + 12*h**2. Factor u(m).
3*(m - 2)*(3*m - 2)*(3*m + 2)
Let z be 14 - ((-40)/(-14) - (-8)/56). Factor -z - 34 - 5*i**2 - 17*i - 13*i.
-5*(i + 3)**2
Let y(x) be the first derivative of x**6/36 + x**5/10 - x**4/4 - 4*x**3/9 - 106. Factor y(u).
u**2*(u - 2)*(u + 1)*(u + 4)/6
Let s(y) be the first derivative of y**4/8 - 3*y**2/4 - y - 45. Solve s(g) = 0 for g.
-1, 2
Suppose -2*c + 55 = -3. Factor 15*d**2 + 18*d**2 + 20*d - c*d**2.
4*d*(d + 5)
Suppose -5*r - 3*k + k = -38, -2*r - k = -15. Suppose -z = -3*z + r. Factor -z*n + 1 + 8 - 2*n**2 + 16*n + 5*n**2.
3*(n + 1)*(n + 3)
Suppose 0 = -l - 2*k - 3*k + 245, -2*k = 5*l - 1156. Factor 108*w - 10*w**2 - 2*w**3 + 114*w - l*w.
-2*w*(w + 1)*(w + 4)
Suppose -5*j - 4*x - 132 = 0, -7*j + 4*x - 84 = -3*j. Let g be 6/j + (-9)/(-4). Factor -2*l**g + 12 - 10 - 6 + 6*l.
-2*(l - 2)*(l - 1)
Factor -1/3*q - 1/2 + 1/3*q**3 + 2/3*q**2 - 1/6*q**4.
-(q - 3)*(q - 1)*(q + 1)**2/6
Let c(g) be the second derivative of -g**4/72 + g**3/18 - g**2/12 + 199*g. Factor c(z).
-(z - 1)**2/6
Let s(t) = -t**2 + 4*t + 45. Let x be s(9). Let f(z) be the first derivative of z**3 + 0*z - 3/2*z**4 + 3/5*z**5 + x*z**2 - 1. Find c, given that f(c) = 0.
0, 1
Solve 3/4*i**2 + 0 - 3/4*i**4 - 9/4*i**3 + 9/4*i = 0.
-3, -1, 0, 1
Suppose 5*w + 46 = 66. Let y(l) be the third derivative of 1/30*l**w + 0 - 6*l**2 - 1/300*l**5 - 1/10*l**3 + 0*l. Factor y(m).
-(m - 3)*(m - 1)/5
Let n = -1197/10 - -241/2. Factor -4/5*c**5 - 8/5*c**3 + 12/5*c + 12/5*c**4 - 8/5*c**2 - n.
-4*(c - 1)**4*(c + 1)/5
Let s be 2/(-14)*-16 - (-26)/(-91). Let w(k) be the first derivative of 1/3*k**3 + 0*k - 5 - 3/2*k**s. Factor w(n).
n*(n - 3)
Let s be (-119)/(-7) - 9 - 6. Suppose -2/11*b**3 + 2/11*b**s + 0 + 0*b = 0. What is b?
0, 1
Let v(t) be the first derivative of -t**4/4 - 43*t**3/3 + 458. Suppose v(i) = 0. What is i?
-43, 0
Let g(z) = -2*z**4 - 8*z**3 + 8*z + 4. Suppose 15*h = 12*h + 6. Let w(s) = s**3 - s**2 - s. Let r(o) = h*w(o) + g(o). Solve r(v) = 0 for v.
-2, -1, 1
Let h(r) = r**2 + 11*r + 12. Let c be h(-11). Suppose 26*i + 2*i - 32 - c*i**2 + 10*i**2 - 66 = 0. What is i?
7
Let n(l) be the third derivative of -13*l**2 - 1/4*l**5 + 0*l + 25/8*l**4 + 1/120*l**6 + 0 - 125/6*l**3. Find p, given that n(p) = 0.
5
Let s(c) be the first derivative of c**6/10 - 24*c**5/25 + 15*c**4/4 - 38*c**3/5 + 42*c**2/5 - 24*c/5 - 201. Factor s(m).
3*(m - 2)**3*(m - 1)**2/5
Let v(k) = -2*k**2 - 2*k + 1. Let s(m) = 9*m**5 + 15*m**4 - 48*m**3 - 34*m**2 + 2*m - 1. Let p(f) = -s(f) - v(f). Solve p(z) = 0.
-3, -2/3, 0, 2
Let f = -6/37 - -92/111. Let i(h) be the second derivative of 5/36*h**4 + 4/9*h**3 + 0 + 4*h + 1/60*h**5 + f*h**2. Suppose i(q) = 0. What is q?
-2, -1
Let l(v) be the second derivative of -v**4/30 + 14*v**3/15 - 13*v**2/5 + 35*v. Factor l(f).
-2*(f - 13)*(f - 1)/5
Let w(q) be the second derivative of -q**10/136080 - q**9/68040 + q**8/15120 + 23*q**4/12 - 15*q. Let k(b) be the third derivative of w(b). Factor k(v).
-2*v**3*(v - 1)*(v + 2)/9
Let l(z) be the third derivative of z**5/30 + z**4/12 - 2*z**3 - 14*z**2 - 8. Find t, given that l(t) = 0.
-3, 2
Let l = -55 - -58. Let x be 6/(6/2) + 2. Find v such that 9*v**l + v**4 - 7*v**3 - 10*v**4 + x*v**3 - v**2 = 0.
0, 1/3
Factor -3/5*p**4 - 7/5*p - 5*p**3 + 0 - 29/5*p**2.
-p*(p + 1)*(p + 7)*(3*p + 1)/5
Let b be 3 - (11 - (-3)/3). Let r = b + 11. Suppose -3*z**3 + 2*z**r - 8*z**2 + 3*z - 2*z - 4*z = 0. What is z?
-1, 0
Suppose -20 = -5*v - 0. Let q(s) = s**3 - 5*s**2 + 6*s - 5. Let d be q(v). Let t - 1 - 4*t + 6*t - d*t**2 + t**3 = 0. What is t?
1
Suppose -2*k - 8 = -6*k. Suppose -2*a - 9 = -5*s, k*s - 5*a - 2 = -11. Factor -4*j + 8*j**2 + 3*j**s + j**3 + 8*j.
4*j*(j + 1)**2
Let j be 1*2*3/(-180)*-10. Suppose -1/3*i + 2/3 - j*i**2 = 0. Calculate i.
-2, 1
Let b be (3/(-6)*-1)/2*4. Let k be b/(-3 + 65/10). Factor k*u - 2/7*u**5 - 4/7*u**4 + 0 + 0*u**3 + 4/7*u**2.
-2*u*(u - 1)*(u + 1)**3/7
Let y = 2253 - 2253. Let w(q) be the third derivative of -1/15*q**3 + 0 + 10*q**2 + y*q + 1/300*q**5 + 1/120*q**4. Factor w(u).
(u - 1)*(u + 2)/5
Let n(j) be the second derivative of j**5/80 + 23*j**4/16 + 51*j**3 + 289*j**2/2 + 332*j. Factor n(b).
(b + 1)*(b + 34)**2/4
Let r(d) = -d**4 - 44*d**3 + 194*d**2 + 531*d + 285. Let v(u) = -44*u**3 + 194*u**2 + 530*u + 286. Let i(c) = -2*r(c) + 3*v(c). Factor i(n).
2*(n - 12)**2*(n + 1)**2
Let r(a) be the third derivative of -a**7/252 - a**6/72 + a**5/24 - 3*a**2 - 5. Factor r(c).
-5*c**2*(c - 1)*(c + 3)/6
Let s(y) be the second derivative of 0 - 5/3*y**3 - 8*y - 9/10*y**5 - 8/3*y**4 + 2*y**2. Determine n, given that s(n) = 0.
-1, 2/9
Let z(x) be the first derivative of -21*x**5/40 + 33*x**4/32 - x**3/8 - 9*x**2/16 + 102. Factor z(g).
-3*g*(g - 1)**2*(7*g + 3)/8
Factor -2/11*u**3 + 86/11*u - 24/11*u**2 - 60/11.
-2*(u - 2)*(u - 1)*(u + 15)/11
Suppose 6*u - 70 = 20*u. Let l(x) = -47*x**2 + 72*x - 31. Let k(z) = 31*z**2 - 48*z + 21. Let y(f) = u*l(f) - 7*k(f). Factor y(p).
2*(3*p - 2)**2
Let v(x) = -3*x**5 - 3*x**4 + 6*x**3 + 9*x**2 - 3. Let g(u) = 6*u**5 + 7*u**4 - 11*u**3 - 19*u**2 + 7. Let h(l) = -3*g(l) - 7*v(l). Suppose h(n) = 0. What is n?
-1, 0, 2
Let j(f) be the second derivative of f**6/90 - f**5/60 - f**4/12 + f**3/18 + f**2/3 - 44*f + 1. Let j(t) = 0. What is t?
-1, 1, 2
Let f(y) be the third derivative of -y**8/2240 - y**7/140 - y**6/20 - y**5/5 - 23*y**4/24 + 17*y**2. Let j(l) be the second derivative of f(l). Factor j(g).
-3*(g + 2)**3
Let n(d) = 4*d**4 + d**3 + 3*d**2 - 3*d - 3. Let x(v) = 9*v**4 + 2*v**3 + 7*v**2 - 7*v - 7. Let c(u) = -7*n(u) + 3*x(u). Let c(r) = 0. What is r?
-1, 0
Let z be ((-20)/(-105))/((-82)/(-81) - 