*3/3 - 11. Find v, given that h(v) = 0.
-1, 0, 7
Let h be (-6)/11 - (-11544)/18018. Factor 2/7*b + 0 - 8/21*b**2 + h*b**3.
2*b*(b - 3)*(b - 1)/21
Let a = -2/5623 + 11252/16869. Determine b so that -2*b - a + 2/3*b**2 + 2*b**3 = 0.
-1, -1/3, 1
Let u(m) = -m + 3. Let r(i) = -3*i**2 - 24*i - 33. Let q(n) = -r(n) - 3*u(n). Factor q(v).
3*(v + 1)*(v + 8)
Suppose 19 = 8*s - 77. Let y be 3/s - 11/(-4). Factor 3/7*f**y - 9/7*f**4 + 6/7*f**2 + 0*f + 0.
-3*f**2*(f - 1)*(3*f + 2)/7
Let t be (2 - 1)/((-7)/(-28)). Let a = -1 + t. Factor -13*k + 3*k**a - 5 + 9*k + 8*k**2 - 3 + k**3.
4*(k - 1)*(k + 1)*(k + 2)
Solve 2806*i**3 - 82*i**5 + 39*i**5 - 924*i**4 + 85*i**2 - 55*i**5 + 856*i - 96 - 311*i**2 - 2318*i**2 = 0.
-12, 2/7, 1
Suppose -3*v = -3*i + 15, -4 = -i + 5*v + 1. Let b = 22057 - 66167/3. Find t, given that -2/3*t + 2/3 - 2/3*t**i + 4/3*t**3 - b*t**2 + 2/3*t**4 = 0.
-1, 1
Let a(u) = 80*u**3 - 76*u**2 + 4. Let g(f) = -f**4 + 241*f**3 - 229*f**2 + 11. Let t(l) = 11*a(l) - 4*g(l). Factor t(z).
4*z**2*(z - 20)*(z - 1)
Let i be -1 - (-3)/((-3)/(-4)). Factor 557*b**5 - 4*b**3 - b**i - 552*b**5.
5*b**3*(b - 1)*(b + 1)
Let n(a) be the first derivative of -3/20*a**4 - 45/2*a**2 + 3*a**3 + 75*a + 20. Let n(j) = 0. What is j?
5
Let r = -9922 + 69458/7. Solve 4/7*m**3 - 2/7*m - 2/7*m**5 + 4/7 - 8/7*m**2 + r*m**4 = 0.
-1, 1, 2
Let v be 1320/72*12/50 + (-18)/(-30). Solve -2/3*j + 2/3*j**4 - 2/3*j**2 + 0 + 1/2*j**3 + 1/6*j**v = 0 for j.
-2, -1, 0, 1
Let t(k) be the third derivative of 8*k**6/15 - 8*k**5/5 + 3*k**4/2 - 2*k**3/3 + 4*k**2 + 3*k. Factor t(o).
4*(o - 1)*(4*o - 1)**2
Let -2/19*n**5 - 122/19*n**3 - 72/19*n + 0 - 28/19*n**4 - 168/19*n**2 = 0. Calculate n.
-6, -1, 0
Let i be 9*7/945*10/4. Let b(r) be the second derivative of -4*r - 1/3*r**3 + 0*r**2 - i*r**4 + 0. Factor b(m).
-2*m*(m + 1)
Find a, given that -3/11*a**5 - 414/11*a**2 - 332/11*a - 213/11*a**3 - 72/11 - 46/11*a**4 = 0.
-9, -2, -1/3
Let i = 22 - 62. Let n = 121/3 + i. Factor -n*m**2 + 1/3*m**5 - m**4 + 0 + m**3 + 0*m.
m**2*(m - 1)**3/3
Let u = 2/23 + 32/161. Let i = -1/2 - -11/14. Let 0*h - i*h**2 + u*h**3 + 0 + 2/7*h**4 - 2/7*h**5 = 0. What is h?
-1, 0, 1
Let c(p) = -p + 4. Let y be c(4). Let j = 2 + y. Solve b**3 - b**2 - 2*b**2 + 4*b**j = 0.
-1, 0
Let p(w) be the first derivative of 7 - 2/25*w**5 - 2/45*w**3 - 1/45*w**6 + 0*w - 1/10*w**4 + 0*w**2. Factor p(v).
-2*v**2*(v + 1)**3/15
Let l = 88 - 61. Suppose -l + 37 = 5*i. Factor 2/3*p**i + 0 + 1/3*p + 1/3*p**3.
p*(p + 1)**2/3
Let v be ((-42)/(-3465)*-11)/(12/(-10)). Let t(j) be the first derivative of -4/3*j + 2/3*j**2 - v*j**3 - 13. Suppose t(l) = 0. What is l?
2
Let f(l) be the second derivative of 7*l + 1/1440*l**6 + 7/6*l**3 + 0*l**4 + 0 + 1/240*l**5 + 0*l**2. Let o(i) be the second derivative of f(i). Solve o(q) = 0.
-2, 0
Determine w so that -10/3*w**3 - 2/5*w + 4/15 - 6/5*w**4 - 14/5*w**2 = 0.
-1, 2/9
Let i(t) be the first derivative of -t**5/40 - t**4/8 - t**3/4 - 3*t**2/2 + 4. Let d(n) be the second derivative of i(n). Factor d(j).
-3*(j + 1)**2/2
Let l(k) be the third derivative of 0 + 12*k**2 + 0*k - 1/40*k**5 + 1/3*k**3 + 1/120*k**6 - 1/12*k**4 + 1/420*k**7. Factor l(f).
(f - 1)**2*(f + 2)**2/2
Let a(q) = -8*q**2 - 20*q - 6. Let j be a(-2). Factor 0 - 4/3*w**j - 4/3*w + 4/3*w**3 + 4/3*w**4.
4*w*(w - 1)*(w + 1)**2/3
Let y(m) = 362*m - 5426. Let p be y(15). Let 8/7 + 0*o + 36/7*o**3 - 10/7*o**p - 34/7*o**2 = 0. What is o?
-2/5, 1, 2
Let g(q) be the third derivative of q**7/42 - q**6/4 - 7*q**5/12 + 250*q**2. Factor g(h).
5*h**2*(h - 7)*(h + 1)
Factor 0*f - 104/11*f**2 + 0 + 2/11*f**3.
2*f**2*(f - 52)/11
Let n(k) be the third derivative of -k**8/336 - k**7/56 - k**6/36 - 29*k**3/6 - 3*k**2. Let q(o) be the first derivative of n(o). Factor q(d).
-5*d**2*(d + 1)*(d + 2)
Let n be ((-80)/(-1960))/(3/21) + 0. Factor -6/7*s - 2/7*s**2 + 6/7*s**3 + n*s**4 + 0.
2*s*(s - 1)*(s + 1)*(s + 3)/7
Let q(c) be the second derivative of -c**5/40 + 13*c**4/24 - 9*c - 25. Factor q(l).
-l**2*(l - 13)/2
Suppose 8*v - 2*v = 24. Factor -14*a**3 + 6*a**3 - 10*a**2 + 13*a**3 + 5*a**v.
5*a**2*(a - 1)*(a + 2)
Let a(h) be the third derivative of h**5/45 + 5*h**4/36 - h**3/3 - 28*h**2. What is z in a(z) = 0?
-3, 1/2
Let p = 7 + -4. Factor -176*b**p + 56*b**3 + 35*b**2 - 5*b + 90*b**3.
-5*b*(b - 1)*(6*b - 1)
Let w(t) be the first derivative of 0*t - 1/6*t**4 + 2/3*t**2 + 13 - 2/9*t**3. Factor w(k).
-2*k*(k - 1)*(k + 2)/3
Let y be -2 + 12/3 + 3. Suppose g - 10 = -g - 5*b, -25 = -y*g + b. Factor 3*o**5 + 9*o**2 - o**g + 7*o**4 + 6*o**3 - 10*o**2 - 2*o.
o*(o + 1)**2*(o + 2)*(2*o - 1)
Factor -5/2*m + 1/8*m**2 + 19/8.
(m - 19)*(m - 1)/8
Find l such that 24/7*l - 3/7*l**2 - 36/7 = 0.
2, 6
Let 13/7 - 1/7*j**2 + 12/7*j = 0. Calculate j.
-1, 13
Let d(c) be the first derivative of -c**6/72 + 5*c**4/24 + 5*c**3/3 - 15. Let m(w) be the third derivative of d(w). Let m(y) = 0. What is y?
-1, 1
Let k(g) be the second derivative of 5*g**6/57 + 52*g**5/19 + 293*g**4/38 + 460*g**3/57 + 4*g**2 - 4*g + 12. Determine c, given that k(c) = 0.
-19, -1, -2/5
Let k be 36/(-168)*2 - (-60)/28. Factor 0 - k*h**2 - 9/7*h**3 - 4/7*h - 2/7*h**4.
-h*(h + 2)**2*(2*h + 1)/7
Let a(w) = -2*w**3 + w**2. Let m(q) = -3*q**3 - 2*q**2 + 3*q. Let f(z) = -2*a(z) + m(z). Solve f(t) = 0.
0, 1, 3
Let t(c) be the third derivative of c**5/330 + 3*c**4/44 - 10*c**3/33 - 16*c**2. Find j such that t(j) = 0.
-10, 1
Let p(s) be the first derivative of s**6/18 - s**5/3 + s**4/2 + 4*s**3/9 - 4*s**2/3 + 53. Suppose p(y) = 0. What is y?
-1, 0, 2
Let f(x) be the third derivative of -x**6/720 + x**5/40 - 3*x**3 + 12*x**2. Let f(j) = 0. What is j?
-3, 6
Let a be (-4)/21*9/(-6). Let t = -2021 - -2023. Factor -2/7*s - 4/7 + a*s**3 + 4/7*s**t.
2*(s - 1)*(s + 1)*(s + 2)/7
Let z(n) be the second derivative of n**7/84 + n**6/12 - 5*n**4/6 - 4*n**3/3 - 142*n. Suppose z(x) = 0. Calculate x.
-4, -2, -1, 0, 2
Suppose -6*h = -3*h + 5*b - 31, 0 = -3*h + 4*b - 14. Factor -h*d**2 - 4*d**2 + 5*d**2.
-d**2
Let y = -72 - -80. Suppose y = -4*c + 4*a, 4*c + 4*a + 5 = 7*a. What is r in 5/4*r - 1/4*r**2 - c = 0?
1, 4
Let a = 43 - 857/20. Let n(w) be the second derivative of 5*w - 1/2*w**3 - a*w**5 - 1/2*w**4 + 0 + 0*w**2. Factor n(z).
-3*z*(z + 1)**2
Let p = 2045/18 - 671/6. Factor -10/9*b**2 + 2/9*b**3 + p*b - 8/9.
2*(b - 2)**2*(b - 1)/9
Factor 2*a**4 + 19/4*a - 5/2 + 1/2*a**2 - 5*a**3 + 1/4*a**5.
(a - 1)**3*(a + 1)*(a + 10)/4
Let i(q) = q - 11. Let f be i(8). Let y be 6/(-2)*f/15. Factor -18/5*n**4 - y*n**5 - 12/5*n - 36/5*n**2 - 39/5*n**3 + 0.
-3*n*(n + 1)**2*(n + 2)**2/5
Let j be (-19)/((-228)/54) - (3 - -1)/2. Factor 1/4*b**4 - j*b**3 + 25/4*b**2 + 0 + 0*b.
b**2*(b - 5)**2/4
Let k(l) be the second derivative of -l**4/60 - l**3/6 + 3*l**2/5 - 124*l. Suppose k(h) = 0. Calculate h.
-6, 1
Let a be -8 - (5 - (-15 - -33)). Factor 172/7*x**3 - 964/7*x**2 + 4/7*x**a + 68/7*x**4 + 160*x - 400/7.
4*(x - 1)**3*(x + 10)**2/7
Let l be 1*-2 + 0 + (-18)/18. Let d(h) = -h**4 - 24*h**3 + 37*h**2 - 12*h. Let i(f) = -12*f**3 + 18*f**2 - 6*f. Let a(n) = l*d(n) + 7*i(n). Factor a(j).
3*j*(j - 2)*(j - 1)**2
Find k such that -142*k + 420*k**2 + 9*k**4 - 207*k**3 + 40*k**4 - 3*k**5 - 158*k - 7*k**4 = 0.
0, 2, 5
Let x(z) be the second derivative of -5*z**4/12 - 425*z**3/6 - 415*z**2 - 91*z. Factor x(i).
-5*(i + 2)*(i + 83)
Let h(a) be the first derivative of a**5/15 - a**4/2 + 4*a**3/3 - a**2 - 2. Let s(u) be the second derivative of h(u). Factor s(y).
4*(y - 2)*(y - 1)
Let s(z) be the first derivative of -z**3/3 + 7*z**2/2 + 5*z + 10. Let p(c) = c**2 - 15*c - 11. Let v(d) = 3*p(d) + 5*s(d). Solve v(a) = 0 for a.
-4, -1
Let i = -74 - -77. Factor -390*b**2 - 4*b**4 - 141*b - 245 + 51*b**i + 29*b**3 + 701*b - b**4.
-5*(b - 7)**2*(b - 1)**2
Let c(k) be the first derivative of -k**6/6 + 9*k**5/5 - 5*k**4 + 4*k**3 + 244. Factor c(d).
-d**2*(d - 6)*(d - 2)*(d - 1)
Factor 18/7 + 6*f - 16/7*f**2.
-2*(f - 3)*(8*f + 3)/7
Let t(d) be the first derivative of -5*d**4/4 - 25*d**3/3 + 10*d**2 + 100*d + 33. Factor t(r).
-5*(r - 2)*(r + 2)*(r + 5)
Suppose -5*w = -2*q - 2*w + 2, 4*w = 0. Let b be 3/q + (-1 - 16/10). Let 11/5*j + 2*j**2 - 8/5*j**3 + b = 0. Calculate j.
-1/2, -1/4, 2
Suppose 0 = -61*j + 57*j + 8. Factor -112/3*h + 32/3 + 98/3*h**j.
2*(7*h - 4)**2/3
Let r(t) = -t**