 of p**6/165 - 3*p**5/110 + 14*p + 1. Determine y, given that u(y) = 0.
0, 3
Suppose 6*l = l + 330. Solve 10 - l - 16 + 24*j - 2*j**2 = 0 for j.
6
Factor 3*s**2 + 7 + 7*s**3 + 4 + 17*s - 9 + 3 + 16*s**2.
(s + 1)**2*(7*s + 5)
Let u(m) = 2*m**2 - 15*m - 29. Let g(k) = 7*k**2 - 60*k - 115. Let t(x) = 6*g(x) - 22*u(x). Factor t(p).
-2*(p + 2)*(p + 13)
Suppose -265*t = -3*b - 264*t + 6, -b = -2*t - 2. Let g be (-9)/(-36) + 0/2. Factor -25/4 - g*r**b + 5/2*r.
-(r - 5)**2/4
Let n(x) be the third derivative of 0 - 23*x**2 - 5/6*x**3 - 1/4*x**5 + 1/24*x**6 + 5/8*x**4 + 0*x. Suppose n(b) = 0. Calculate b.
1
Suppose -3*v = -2*v - 4*r + 12, -16 = -4*r. Let c(g) = -2*g - 16. Let u be c(-11). Suppose 4*i**4 - 8*i - u*i**v + 8*i**3 + 4 - 2*i**4 = 0. What is i?
-1, 1
Let f(a) = -3*a**2 + 3*a + 6. Let l(u) = u - 1. Suppose 0 = -24*g + 20*g + 24. Let p(b) = g*l(b) + f(b). Solve p(s) = 0 for s.
0, 3
Suppose 2 + 11/2*r**2 - 7/4*r**5 + 9*r - 15/2*r**4 - 29/4*r**3 = 0. Calculate r.
-2, -1, -2/7, 1
Solve 1/5*u**3 - 49/5*u + 34/5 + 14/5*u**2 = 0.
-17, 1, 2
Let s = -48 + 46. Let l be (12/15 + s)/(-1). Factor -6/5*q**3 + 2/5*q**2 - 4/5 + 2/5*q**4 + l*q.
2*(q - 2)*(q - 1)**2*(q + 1)/5
Let l(j) = 22*j - 44. Suppose 4*u + 19*u - 46 = 0. Let z be l(u). Determine n, given that -2/3*n**2 + 0 + z*n + 5/3*n**5 + 1/3*n**3 + 8/3*n**4 = 0.
-1, 0, 2/5
Let q(d) be the first derivative of -2*d**3/11 - 192*d**2/11 + 390*d/11 - 672. Solve q(t) = 0.
-65, 1
Let b be (924/560)/((-9)/(-24)) - 4. Find k, given that -b*k**4 + 0*k**2 + 0*k + 8/5*k**3 + 0 = 0.
0, 4
Factor -124*s - 745 + 2*s**2 + 2370 + 297.
2*(s - 31)**2
Suppose m = -3*v + 26 + 11, 27 = 3*v + 3*m. Suppose -4*j - v = -5*j. Determine c, given that -3*c**2 - 9 + 18*c - 4 - j = 0.
3
Determine j, given that -400/7 - 43/7*j**4 - 1321/7*j**2 - 1240/7*j - 1/7*j**5 - 523/7*j**3 = 0.
-20, -1
Let p(c) = 2*c**3 + c**2 - 4*c - 1. Let u be p(-3). Let v be -2 - (1/(-1) + u). Factor 23*k**4 - 21*k**5 + 6*k**2 + 0*k**2 - v*k**3 + 25*k**4.
-3*k**2*(k - 1)**2*(7*k - 2)
Let a(n) be the first derivative of 1/18*n**4 + 0*n**2 - 4 + 0*n**3 - n. Let d(b) be the first derivative of a(b). What is s in d(s) = 0?
0
Suppose 6 = -2*n - 0*n, x + 3*n - 97 = 0. Let t = -106 + x. Let -1/4*v**4 + t + 1/2*v + 0*v**3 + 3/4*v**2 = 0. What is v?
-1, 0, 2
Let v be 4*(50/8 - -2). Let q be (-5)/(-1) - v/11. Factor 3*m**5 + 3*m - q*m**4 + 5*m**4 - 3*m.
3*m**4*(m + 1)
Factor q**2 - 57*q + 7 + 6 + 29 - 10*q**2.
-3*(q + 7)*(3*q - 2)
Factor -17/5*x + 18/5 - 1/5*x**2.
-(x - 1)*(x + 18)/5
Let c(v) be the third derivative of -v**6/30 + 2*v**5/15 + 2*v**4/3 - 16*v**3/3 - 13*v**2 - 2*v. Let c(a) = 0. What is a?
-2, 2
Suppose -2*a = -3*r, 3*r = -2*a - 75 + 87. Factor 0*s**a + 4/17*s**2 - 4/17*s**4 - 2/17*s + 0 + 2/17*s**5.
2*s*(s - 1)**3*(s + 1)/17
Let p(i) be the third derivative of 2*i**7/525 + i**6/25 - 7*i**5/75 + 2*i**2 - 12*i. Solve p(u) = 0.
-7, 0, 1
Let o = 24 - 21. Let a(u) be the first derivative of -47*u**2 + 4*u**3 - 11 + 9*u + 41*u**2 - 3*u**3 + 0*u**o. Solve a(g) = 0 for g.
1, 3
Let k(u) be the second derivative of u**4/66 + 16*u**3/33 + 191*u. Determine c, given that k(c) = 0.
-16, 0
Let g(u) be the first derivative of -u**6/360 - u**5/30 - u**4/6 + 25*u**3/3 - 1. Let c(o) be the third derivative of g(o). Factor c(v).
-(v + 2)**2
Let p(i) be the third derivative of -i**5/60 + 4*i**4 - 384*i**3 - 29*i**2 - i. Let p(m) = 0. What is m?
48
Factor -3*o**3 - 7 + o**4 - 7*o**2 - 2*o**2 - 5 - 117168*o + 117191*o.
(o - 4)*(o - 1)**2*(o + 3)
Let n be -2 + (-3 + -2)*1. Let p be (-62)/(-186) - n/6. What is q in -p*q + 1 + 1/2*q**2 = 0?
1, 2
Let z(i) be the third derivative of 0 - 50/3*i**3 + 4*i**2 + 0*i - 5/3*i**4 - 1/15*i**5. Factor z(k).
-4*(k + 5)**2
Let i(n) be the third derivative of -14*n**2 + 1/200*n**6 + 0*n + 0 - 4/5*n**3 - 3/50*n**5 + 3/10*n**4. Determine r so that i(r) = 0.
2
Let f(q) be the first derivative of -2*q**5/11 - 17*q**4/22 - 4*q**3/11 + 20*q**2/11 + 16*q/11 - 117. Solve f(m) = 0.
-2, -2/5, 1
Let x(b) be the first derivative of b**8/168 + b**7/210 - b**6/15 - b**5/15 - 2*b**2 - 1. Let o(q) be the second derivative of x(q). Factor o(d).
d**2*(d - 2)*(d + 2)*(2*d + 1)
Suppose 29 + 11 = 3*r + x, 4*r = -x + 53. Solve 10 - 19 - z**3 - 6*z**2 + r*z**2 - 7 - 8*z = 0.
-1, 4
Let j = 1936097/1435 - 9444/7. Let r = 6/41 + j. Factor r*x**2 + 0 - 1/5*x**5 - 1/5*x**4 + 0*x + 1/5*x**3.
-x**2*(x - 1)*(x + 1)**2/5
Let y(a) be the third derivative of -a**8/20160 + a**7/1260 - a**6/180 + a**5/4 + 8*a**2. Let k(n) be the third derivative of y(n). Suppose k(q) = 0. What is q?
2
Let -27936 + 4131 - 2760*s - 78*s**2 + 99*s**2 - 71*s**2 - 30*s**2 = 0. Calculate s.
-69/4
Let k be (-12)/40*(-11 - 217/(-21)). Find b such that k*b**2 + 1/5 + 2/5*b = 0.
-1
Let i(j) be the third derivative of 11/180*j**5 + 0*j**3 + 8/105*j**7 + 0 + 1/9*j**6 + 11*j**2 + 0*j + 1/72*j**4. Factor i(l).
l*(3*l + 1)*(4*l + 1)**2/3
What is z in 2 + 2/9*z**2 - 20/9*z = 0?
1, 9
Let c(h) be the third derivative of -4/105*h**5 - 2*h**2 - 1/21*h**3 + 0*h + 0 + 5/84*h**4 + 1/105*h**6. Factor c(r).
2*(r - 1)*(2*r - 1)**2/7
Find y, given that -7*y**2 + 5*y**2 + y - 3*y**3 + 2*y**3 + 5*y + 8 - 2*y = 0.
-2, 2
Let m(s) be the third derivative of -s**7/70 - s**6/10 + 19*s**5/20 - 7*s**4/4 + 58*s**2 - 1. Factor m(w).
-3*w*(w - 2)*(w - 1)*(w + 7)
Suppose -11*q - g = -14*q + 70, 0 = -3*q - 2*g + 85. Suppose 5*j + q = -2*n - 0*j, n = 5*j + 25. Solve -9/2*d**5 + 3*d**4 + 0*d + n - 3*d**2 + 9/2*d**3 = 0.
-1, 0, 2/3, 1
Factor 405*b + 32*b**2 + 868*b**2 + 5*b**5 - 21*b**4 + 590*b**3 + 121*b**4.
5*b*(b + 1)**2*(b + 9)**2
Let g = -12 + 26. Let l be (g/(-6))/(-7)*12. Determine a so that 80/3*a - 4/3 - 720*a**l + 600*a**3 + 288*a**5 - 580/3*a**2 = 0.
1/6, 1
Let n(j) be the third derivative of 1/84*j**8 + 0 - 4*j**2 + 8/15*j**5 - 64/3*j**4 + 0*j + 14/15*j**6 - 4/21*j**7 + 256/3*j**3. Let n(s) = 0. Calculate s.
-2, 2, 4
Suppose -25*h = -61 + 11. Solve 3/4 + 3/2*n**3 - 3/2*n**h - 3/4*n - 3/4*n**5 + 3/4*n**4 = 0.
-1, 1
Let u be (161/35)/((-21)/(-5) - 0). Let g = -3/7 + u. Solve 0 + 6*h**2 - 6*h**3 - g*h**4 - 4/3*h + 2*h**5 = 0 for h.
-2, 0, 1/3, 1
Suppose 2*u + 12 = -2*u. Let t be (u - 2*-2)*0. What is z in 15*z**2 - 17*z**2 - 2*z + t*z = 0?
-1, 0
Let k be (1/4)/((-3)/(-60)). Suppose -k*u + 3 - 8 = -5*y, 0 = -3*u + 2*y + 1. Factor 0*z + 2/3*z**u + 0 + 0*z**2.
2*z**3/3
Let s(b) be the third derivative of -b**5/15 - 23*b**4 - 3174*b**3 + 402*b**2. Factor s(c).
-4*(c + 69)**2
Let n(r) be the first derivative of -r**4/12 - 5*r**3/3 - 9*r**2/2 + 26*r - 49. Let t(b) be the first derivative of n(b). Factor t(c).
-(c + 1)*(c + 9)
Let b(i) = -i**2. Let d(g) = 24*g**3 + 12*g**2 - 5*g + 2. Let o(f) = -f**3 - f**2 - f. Let j(v) = 5*d(v) + 30*o(v). Let x(m) = -5*b(m) - j(m). Factor x(q).
-5*(q + 1)*(2*q - 1)*(9*q - 2)
Let a be ((-172)/(-84) + -3)/(60/(-210)). Factor d - a + 1/3*d**2.
(d - 2)*(d + 5)/3
Let r = 7614/11 - 692. Let t be (-130)/(-66) + (-3)/9. Solve 0 - r*s**3 + 12/11*s**2 - t*s = 0 for s.
0, 3
Let t(s) be the second derivative of s**6/30 - 21*s**5/20 - 11*s**4/6 + 136*s - 1. What is w in t(w) = 0?
-1, 0, 22
Let x(t) be the third derivative of 0*t**3 + 1/60*t**4 - 1/900*t**6 + 0 + 0*t + 2*t**2 - 1/225*t**5. Suppose x(n) = 0. Calculate n.
-3, 0, 1
What is f in -1/2*f**2 - f - 1/2*f**5 + 1/2*f**4 + 3/2*f**3 + 0 = 0?
-1, 0, 1, 2
Let c(n) be the first derivative of -n**5/20 - n**4/12 - 12*n + 1. Let v(o) be the first derivative of c(o). Determine g, given that v(g) = 0.
-1, 0
Let z(l) be the first derivative of l**5/5 + 11*l**4/4 + 44*l**3/3 + 38*l**2 + 48*l + 103. Suppose z(b) = 0. Calculate b.
-4, -3, -2
Let q(z) be the second derivative of z**5/5 - z**4/2 + z**3/3 + 76*z. Factor q(l).
2*l*(l - 1)*(2*l - 1)
Let z be (3/6)/((-5)/(-30)). Suppose 0*y = y - z. Find n, given that -49*n**5 + 4*n**2 + 42*n**y + 56*n**2 + 21*n**4 + 47*n**3 + 33*n**3 + 8*n = 0.
-1, -2/7, 0, 2
Let l(t) be the first derivative of t**6/54 - 2*t**5/45 - 11*t**4/36 + 4*t**3/9 - 675. Factor l(d).
d**2*(d - 4)*(d - 1)*(d + 3)/9
Let c = 3/2 - 4/3. Let l(v) be the second derivative of -5/84*v**7 + 7/24*v**4 + c*v**3 + 3/40*v**5 - 2*v + 0*v**2 - 7/60*v**6 + 0. Suppose l(z) = 0. What is z?
-1, -2/5, 0, 1
Let d be (306/(-27) + 11)/(1/(-9)). Factor -2/7*f**2 + 4/7*f**d