1/130*m**5 + 1/39*m**3. Factor n(c).
-2*(c - 1)*(c + 1)**2/13
Let b(k) be the first derivative of -k**5/450 + k**4/90 - k**3/45 - k**2/2 + 1. Let o(v) be the second derivative of b(v). Solve o(n) = 0.
1
Let h(o) be the second derivative of -o**5/20 - 23*o**4/12 - 57*o**3/2 - 405*o**2/2 + 2*o - 255. Solve h(q) = 0.
-9, -5
Let n(y) be the first derivative of y**4/14 + 10*y**3/21 + y**2 + 6*y/7 - 110. Factor n(u).
2*(u + 1)**2*(u + 3)/7
Let c(n) be the third derivative of n**5/60 + n**4/8 + n**3/3 + 67*n**2. Find s, given that c(s) = 0.
-2, -1
Let k = -9559/4 + 2390. Determine l, given that -1/4*l**2 - k*l**3 + 1/4 + 1/4*l = 0.
-1, 1
Let k(i) be the third derivative of i**5/270 + 7*i**4/54 - 5*i**3/9 + 46*i**2 + i. Factor k(h).
2*(h - 1)*(h + 15)/9
Find j, given that -9/4 + 3/4*j**3 - 15/4*j - 3/4*j**2 = 0.
-1, 3
Factor -84/13 + 22/13*l + 2/13*l**2.
2*(l - 3)*(l + 14)/13
Let n(v) be the second derivative of -3*v**4/4 + 13*v**3/2 + 13*v**2/2 + 19*v. Let o(i) = 4*i**2 - 20*i - 6. Let a(x) = 6*n(x) + 13*o(x). Factor a(m).
-2*m*(m + 13)
Let t(g) = 11*g**3 - g. Let o be t(1). Suppose w - o + 8 = 0. Factor -w*v**2 + 0*v**2 - v - v**2 - 2*v.
-3*v*(v + 1)
Let l(x) be the third derivative of -1/75*x**5 - 1/525*x**7 + 0*x**4 + 10*x**2 + 1/100*x**6 + 0*x**3 + 0*x + 0. Factor l(i).
-2*i**2*(i - 2)*(i - 1)/5
Let w(b) be the third derivative of b**5/12 - 5*b**4/3 + 25*b**3/2 + 7*b**2 - 1. Let w(r) = 0. Calculate r.
3, 5
Let q(d) = -d**3 + 14*d**2 - 16*d + 42. Let r be q(13). Let p = 0 + 2. Solve a**2 + a**4 + a + 2*a**r - p*a**4 - 3*a**3 = 0 for a.
-1, 0, 1
What is k in 45*k**2 + 60*k - 5*k**4 + 20*k + 92*k**3 - 4 - 112*k**3 - 96 = 0?
-5, -2, 1, 2
Let u(l) be the third derivative of l**7/28980 + l**6/8280 - 3*l**4/8 - 6*l**2. Let w(p) be the second derivative of u(p). Find j, given that w(j) = 0.
-1, 0
Factor -5/2*r**3 - 400*r - 750 - 115/2*r**2.
-5*(r + 3)*(r + 10)**2/2
Let q be 1 - 0 - (-1 - 2). Suppose 3*z = 2*w - 15, 0*w = -2*w - q*z - 6. Factor x**2 + x**2 + 11*x**w - 6*x**3 - x**4 - 6*x**3.
-x**2*(x - 1)*(x + 2)
Let l(c) = 2*c**2 + 22*c + 39. Let s be l(-9). Let h(t) be the third derivative of 3*t**2 + 1/36*t**4 + 2/9*t**s + 0*t - 1/90*t**5 + 0. Solve h(b) = 0.
-1, 2
Let r(s) be the second derivative of -s**4/48 + 13*s**3/24 + 15*s**2/4 + 3*s - 75. Find p, given that r(p) = 0.
-2, 15
Suppose 2*p - 11 = 5*r, 3 = -2*r + 1. Let f(z) be the second derivative of -5*z - z**2 + 0 + 25/24*z**6 + 5/16*z**5 - 15/8*z**4 - 13/6*z**p. Factor f(x).
(x - 1)*(5*x + 2)**3/4
Find k such that k**4 + 76*k**2 - 1 + 1 + 67*k**2 + 121*k + 23*k**3 = 0.
-11, -1, 0
Suppose -13*o + 20 = 2*f - 16*o, -4 = 2*f + 3*o. Find v, given that -2*v**2 - 2/3*v**f + 2/3*v + 0 + 2*v**3 = 0.
0, 1
Let l be (-1 + 4)*(2 + -1). Determine g, given that 5*g**3 + 55*g + 10 - 3 + 30*g**2 - l + 26 = 0.
-3, -2, -1
Let s be (0*(-1)/(-3))/4. Let l(b) = b**2 + 2. Let y be l(s). Suppose 29*a**2 - 9*a**5 + 18*a - 3*a**3 - 6*a - 5*a**y - 24*a**4 = 0. What is a?
-2, -1, -2/3, 0, 1
Let v(z) = z**3 - 1152*z**2 + 73728*z - 1572859. Let u(w) = -576*w**2 + 36864*w - 786429. Let x(m) = 5*u(m) - 3*v(m). Determine t, given that x(t) = 0.
64
Let r(b) be the first derivative of b**4/5 - 4*b**3/5 - 2*b**2/5 + 12*b/5 - 141. Factor r(f).
4*(f - 3)*(f - 1)*(f + 1)/5
Suppose -4*p + 4 = 2*d, 3*d - 7*p - 13 = -6*p. Suppose 0*x + 6/5*x**3 + 2/5*x**2 + 0 + 6/5*x**d + 2/5*x**5 = 0. Calculate x.
-1, 0
Let n(t) = -t**2 - 9*t + 57. Let z be n(4). Let x be (12/(-210))/(z/(-75)). Factor -x*g**3 + 8/7*g - 8/7*g**2 + 2/7*g**5 + 4/7*g**4 + 0.
2*g*(g - 1)**2*(g + 2)**2/7
Let n(d) = -48*d + 4 - 27*d + 23*d. Let v be n(-2). Factor 108 - v - 4*x**2 - 8*x.
-4*x*(x + 2)
Suppose -3*d + 3*p - 20 = -7*d, 2*d = -p + 8. Factor 2*h**2 + d*h**2 - 18*h - 3*h - 11*h.
4*h*(h - 8)
Suppose 0 = 3*j + 12, -4*q + 2*j + j = -20. Suppose -5*h - p + 17 = 0, 3*h = -p - p + 6. Determine t so that -30*t**q - h*t + 62*t**2 - 3 - 33*t**2 = 0.
-3, -1
Let q(h) = 4*h**5 - 9*h**3 - 5*h**2 - 5. Let m(s) = 2 + s**5 + 2*s**2 - 2*s**5 - s**5 + 4*s**3 + 0*s**2. Let w(x) = 10*m(x) + 4*q(x). Factor w(j).
-4*j**3*(j - 1)*(j + 1)
Let b be (-1)/(-2) - (-55)/10. Suppose -4 = i - b. Factor 2*j**2 - 2*j**3 - 4*j - 4*j + 6*j**i.
-2*j*(j - 2)**2
Factor 2*w**3 - 270 - 210 + 110*w + 400 - 7*w**3 - 25*w**2.
-5*(w - 2)*(w - 1)*(w + 8)
Find n, given that 21/2*n - 3/2*n**2 + 0 = 0.
0, 7
Suppose 4*x - 5*x = 2*x. Solve 2/5*n**2 + 1/5*n**3 + x + 1/5*n = 0 for n.
-1, 0
Let d(n) be the second derivative of n**2 + 0 + 28*n + 0*n**3 - 1/6*n**4. Factor d(s).
-2*(s - 1)*(s + 1)
Let z = -7 + 4. Let k(s) = -s**3 - 4*s**2 - 5*s - 3. Let j be k(z). Determine o, given that o**4 + o**j + 0*o**3 + 0*o - o**2 - o = 0.
-1, 0, 1
Let p(r) be the first derivative of 1/2*r**4 + 36 + 0*r + 16/3*r**3 + 0*r**2. Factor p(j).
2*j**2*(j + 8)
Let r = 911/21 - 173/7. Factor 392/3 - r*u + 2/3*u**2.
2*(u - 14)**2/3
Let k = 3061 + -21401/7. Find l such that -k*l - 18/7*l**3 + 4/7 + 48/7*l**2 = 0.
1/3, 2
Let s(y) be the first derivative of 2*y - 19 + 1/2*y**2 - 1/3*y**3. Let s(n) = 0. What is n?
-1, 2
Let g = 61 + -56. Let v be (-3)/(-6)*g - 1. Let -3/2*o**4 + 0 + 3*o - 3*o**3 + v*o**2 = 0. What is o?
-2, -1, 0, 1
Let m(f) be the second derivative of 0 + 0*f**2 + 8/3*f**3 - 1/3*f**4 + 10*f. Factor m(u).
-4*u*(u - 4)
Let z(f) be the first derivative of -f**6/3 - 6*f**5 - 13*f**4/2 + 10*f**3 + 14*f**2 - 147. Determine r so that z(r) = 0.
-14, -1, 0, 1
Let t = -4 - -35/6. Let p(u) be the first derivative of u**2 + t*u**3 + 1/4*u + 9/20*u**5 - 2 + 3/2*u**4. Find q such that p(q) = 0.
-1, -1/3
Let r = -24 + 14. Let m be 72/33 + r/55. Factor 5*x**3 - 7*x**3 + 8*x**2 - m*x**3.
-4*x**2*(x - 2)
Let h = -47 + 143/3. Let o(m) be the second derivative of 5*m - h*m**3 - 2*m**2 - 1/12*m**4 + 0. Factor o(y).
-(y + 2)**2
Let k(w) be the second derivative of 9*w + 0*w**3 - 1/10*w**6 + 0*w**5 + 0*w**2 + 0 + 1/42*w**7 + 1/3*w**4. Find j, given that k(j) = 0.
-1, 0, 2
Let h = 0 - -14. Suppose -2*i - 4*f = 16, -2*i + 0*i = -2*f - h. Suppose i*v**3 + 1/2*v**4 + 2*v + 1/2 + 3*v**2 = 0. What is v?
-1
Let p = 23/28 - -73/28. Suppose 0 - 6/7*c**4 + 24/7*c**2 + 9/7*c - 51/7*c**3 + p*c**5 = 0. What is c?
-3/2, -1/4, 0, 1
Let t be (10 + -11)*(0 - -5). Let l be t/(75/(-36)) + (-6)/3. Factor -12/5*q + l*q**2 + 18/5.
2*(q - 3)**2/5
Find l such that 4*l**3 - 6 - 4*l + 19/2*l**2 - 7/2*l**4 = 0.
-1, -6/7, 1, 2
Let h(m) be the first derivative of -m**4/2 + 26*m**3 - 432*m**2 + 1944*m - 668. Factor h(d).
-2*(d - 18)**2*(d - 3)
Let m(x) = -x**3 + 2*x**2 - 3. Let n be m(-1). Let r(u) be the third derivative of n*u + 1/20*u**5 - 4*u**2 + 0*u**4 + 0 - 1/2*u**3. Factor r(o).
3*(o - 1)*(o + 1)
Suppose 0 = -5*w + 2*w. Let r = 17/5 - 3. Factor 4/5*o**3 + r*o + w + 6/5*o**2.
2*o*(o + 1)*(2*o + 1)/5
Let s be (-8)/(160/(-290)) - 13. Let -3/2 + 0*d + s*d**2 = 0. Calculate d.
-1, 1
Suppose 22 = 5*t - 3*u, 2*t - 8 = -4*u + 5*u. Factor 89*v**2 - 3*v**3 + 12*v + 24 - 48*v**2 - 47*v**t.
-3*(v - 2)*(v + 2)**2
Factor 16/5*s**4 + 0*s + 0 - 6*s**3 - 4/5*s**2.
2*s**2*(s - 2)*(8*s + 1)/5
Let r(m) = 8*m**3 + 4*m**2 + 4*m - 10. Let c(q) = q**3 + q - 1. Let y be (18 + 0)*22/(-33). Suppose 9 - 3 = 3*o. Let a(d) = o*r(d) + y*c(d). Factor a(n).
4*(n - 1)*(n + 1)*(n + 2)
Let z(o) be the second derivative of 1/12*o**2 + 1/72*o**4 + 1/18*o**3 + 0 + 13*o. Let z(b) = 0. What is b?
-1
Let p be 5*3*2/45. Let u be (33/(-9))/(-1) - (-14)/42. Factor 0*i - p*i**3 + 0 + 2/3*i**5 + 2/3*i**u - 2/3*i**2.
2*i**2*(i - 1)*(i + 1)**2/3
Let f(c) = 5*c**2 + c + 9. Let s be f(3). What is i in -s*i**2 - 28*i**3 - 8 - 36*i + 9*i**2 + 8*i**3 = 0?
-1, -2/5
Let w(a) be the first derivative of -a**5/20 - 3*a**4/2 - 18*a**3 - 19*a**2/2 - 22. Let h(c) be the second derivative of w(c). Factor h(v).
-3*(v + 6)**2
Factor -3/4*x**2 - 15/2 + 21/4*x.
-3*(x - 5)*(x - 2)/4
Let q(y) be the first derivative of -y**3/7 + 27*y**2/14 - 60*y/7 - 153. Factor q(v).
-3*(v - 5)*(v - 4)/7
Let g(q) = 2*q + 2. Let d be g(2). Let k = d + -3. Factor -b**k + 0*b + b**3 - 2*b**3 + 2*b.
-2*b*(b - 1)*(b + 1)
Let f(h) = h**3 - 6*h**2 + 11*h - 6. Let l(w) = 2*w**2 - w + 1. Let z be l(2). Let g be f(z). Factor -3*s**3 - 63*s**2 + 8*s**3 + g*s + 18*s**2 - 80.
5*(s - 4)**2*(s - 1)
Let w(n) = n**2 + 2*n + 2. Let x be w(0). Suppose 0 = 3*r - m - 7,