*h**3 + 156*h**2 + 241*h + 116. Let t(o) = 22*q(o) - 2*w(o). Determine d, given that t(d) = 0.
-1, 58
Let a be (-4)/((-168)/83) + 3/(-21). Let n = a - 5/3. Solve n*s - 1/6*s**4 + 1/2*s**2 - 1/3 - 1/6*s**3 = 0.
-2, -1, 1
Let k(m) = -m**2 + m + 3. Suppose 2*r + f = -2, 0 = r - f - 2*f - 13. Suppose r + 1 = -w. Let s(b) = b**2 - b - 1. Let d(u) = w*k(u) - 6*s(u). Factor d(c).
-4*c*(c - 1)
Let a be ((-45)/150)/(12/(-10)). Let s(d) = 25*d + 126. Let k be s(-5). Factor 0*b + a*b**3 - k + 3/4*b**2.
(b - 1)*(b + 2)**2/4
Factor -f**2 - 72/5 + 182/5*f.
-(f - 36)*(5*f - 2)/5
Let y(h) be the first derivative of 2*h**3 + 22*h**2/7 - 16*h/7 + 63. Factor y(m).
2*(3*m + 4)*(7*m - 2)/7
Find h, given that 0 - 10*h + 5/6*h**5 - 95/6*h**3 + 70/3*h**2 + 5/3*h**4 = 0.
-6, 0, 1, 2
Let f(l) be the second derivative of -6*l**5/5 - l**4/6 + 4*l**3 + l**2 + l + 37. Factor f(n).
-2*(n - 1)*(n + 1)*(12*n + 1)
Let c(o) = -o**2 + 4*o + 9. Let q(s) = -s**2 + 7*s + 18. Let u = 10 - 5. Let j(a) = u*c(a) - 2*q(a). Find d, given that j(d) = 0.
-1, 3
Let w(p) be the first derivative of 14/15*p**3 - 2/5*p**2 + 0*p - 4. Factor w(i).
2*i*(7*i - 2)/5
What is p in 166133*p + 378 - 166040*p + 3*p**2 - 126 = 0?
-28, -3
Factor 0 - 2/5*a**2 + 2/5*a - 2/5*a**3 + 2/5*a**4.
2*a*(a - 1)**2*(a + 1)/5
Let n(b) be the first derivative of b**6/180 + b**5/10 + 3*b**4/4 + 11*b**3/3 + 3. Let w(p) be the third derivative of n(p). Suppose w(m) = 0. What is m?
-3
Let i(o) be the third derivative of o**6/280 + o**5/14 + 17*o**4/56 + 4*o**3/7 - 14*o**2. Find y such that i(y) = 0.
-8, -1
Suppose -205*d + 48*d + 204 = -267. Factor 2/17*n**d - 6/17*n - 36/17 + 8/17*n**2.
2*(n - 2)*(n + 3)**2/17
Let q be ((-232)/783*9)/((-4)/18). Let -4*k + q + 1/3*k**2 = 0. Calculate k.
6
Let w be 15*(-4)/(4 - 0). Let b = w + 107/7. Factor 2/7*c**3 - 2/7*c + b*c**2 + 0 - 2/7*c**4.
-2*c*(c - 1)**2*(c + 1)/7
Let x be 2/(-21)*32/(1024/(-240)). Factor x*o - 1/7*o**2 - 4/7.
-(o - 4)*(o - 1)/7
Let m(w) be the third derivative of -w**7/1260 - w**6/360 + w**5/30 + 4*w**4/3 - 24*w**2. Let a(y) be the second derivative of m(y). Factor a(h).
-2*(h - 1)*(h + 2)
Let y(k) be the second derivative of 0*k**5 - 1/231*k**7 + 0*k**2 + 2/165*k**6 + 1/33*k**3 - 1/33*k**4 + 0 - 8*k. Factor y(h).
-2*h*(h - 1)**3*(h + 1)/11
Suppose -2 = 3*g + 12*i - 14*i, 20 = 4*g + 3*i. Let 0*x + 4/9*x**g - 4/9 = 0. What is x?
-1, 1
Let i(x) be the third derivative of x**5/180 + x**4/72 - x**3/3 + 11*x**2. Factor i(y).
(y - 2)*(y + 3)/3
Let x(o) be the third derivative of -1125*o**7/14 + 225*o**6/4 - 15*o**5 + 5*o**4/3 - 7*o**2 - 14*o. Find p, given that x(p) = 0.
0, 2/15
Let u(c) be the second derivative of -7*c**5/600 - c**4/15 - c**3/15 - 4*c**2 - 5*c. Let k(d) be the first derivative of u(d). Factor k(l).
-(l + 2)*(7*l + 2)/10
Factor -25/3*d**3 + 3*d**4 - 8/3*d - 14*d**2 + 0.
d*(d - 4)*(d + 1)*(9*d + 2)/3
Let t(z) be the first derivative of -4/21*z**3 - 1/7*z**2 - 15 - 1/7*z**6 + 0*z + 2/7*z**4 + 4/35*z**5. Solve t(w) = 0.
-1, -1/3, 0, 1
Let p(w) be the third derivative of 2/345*w**5 + 1/69*w**4 - 18*w**2 + 0*w**3 + 1/1380*w**6 + 0 + 0*w. Determine t, given that p(t) = 0.
-2, 0
Let x(r) be the second derivative of -5*r**4/12 + 85*r**3/6 - 105*r**2 + 291*r. Factor x(s).
-5*(s - 14)*(s - 3)
Suppose -4 = -2*x, 1 + 14 = -3*h - 3*x. Let p = h + 10. Factor -2*q**2 - 3*q**3 + p*q**4 + q**2 + 4*q**2 + 9*q**3.
3*q**2*(q + 1)**2
Factor -2/5*w**2 - 162/5 - 36/5*w.
-2*(w + 9)**2/5
Let j = -71302807/99 + 720221. Let d = j - -86/9. Factor -d*u**2 + 2/11*u + 2/11 - 2/11*u**3.
-2*(u - 1)*(u + 1)**2/11
Let a(d) be the third derivative of -4*d**2 + 1/11*d**3 - 1/132*d**4 + 0*d + 1/660*d**6 + 0 - 1/110*d**5. Factor a(c).
2*(c - 3)*(c - 1)*(c + 1)/11
Let l be 4/6 - (-435)/(-855). Let t = l + 99/95. Let -3/5 + 9/5*m**2 - t*m**3 + 0*m = 0. What is m?
-1/2, 1
Suppose 5*p + 12 = p. Let i be p*(-3)/((-9)/(-5)). Determine w, given that 25*w**i - 12*w**5 - 11*w**5 = 0.
0
Let o(p) be the third derivative of -p**5/20 - p**4/3 - 2*p**3/3 + 711*p**2. Let o(x) = 0. What is x?
-2, -2/3
Let h be 532/19*(-1)/(-2). Let m(i) = i - 12. Let l be m(h). Factor -2/9*o**5 + 0*o + 2/9*o**4 + 2/9*o**3 - 2/9*o**l + 0.
-2*o**2*(o - 1)**2*(o + 1)/9
Let t = -98 - -95. Let x be -3*4/12*t. Solve 2/9*n**x + 0*n**2 + 0 - 2/9*n = 0 for n.
-1, 0, 1
Solve -5445 - 5*o**2 - 84*o + 237*o - 87*o + 264*o = 0 for o.
33
Let g = 1789/60 - 89/3. Let w(o) be the second derivative of 6*o + 0*o**3 + g*o**5 + 0*o**2 - 1/4*o**4 + 0. Factor w(y).
3*y**2*(y - 1)
Let y(g) be the first derivative of g**6/4320 - g**4/288 - 26*g**3/3 + 43. Let r(d) be the third derivative of y(d). Factor r(w).
(w - 1)*(w + 1)/12
Let a(g) be the second derivative of g**9/3780 + g**8/840 - g**6/90 - g**5/30 + g**4/2 - 7*g. Let v(n) be the third derivative of a(n). Solve v(s) = 0.
-1, 1
Let u(z) be the first derivative of -z**5 + 5*z**4/4 + 5*z**3 - 25*z**2/2 + 10*z + 79. Let u(a) = 0. What is a?
-2, 1
Factor 752*y**3 - 1944*y**4 - 165*y**5 - 128*y**2 + 321*y**3 + 1623*y**5 - 209*y**3.
2*y**2*(9*y - 4)**3
Let o(m) = -2*m**2 - m + 7*m**2 - 4*m**2 + 3*m**2. Let c(w) = -4 - 17*w**2 + 16*w**2 + 4. Let k(p) = -6*c(p) - 2*o(p). Solve k(z) = 0.
0, 1
Let r be 1/1 - (-752)/(-744). Let d = 437/279 + r. Factor 20/3*h**2 - d*h**3 - 8*h + 16/9.
-2*(h - 2)**2*(7*h - 2)/9
Let f(o) be the first derivative of -4 - o**3 - 2*o + 3/2*o**2 - 1/10*o**6 + 0*o**4 + 3/10*o**5. Let y(j) be the first derivative of f(j). Factor y(v).
-3*(v - 1)**3*(v + 1)
Let y = -40 + 45. Suppose 3*i = -2*i + 25, -21 = t - y*i. Factor -4*h**t + 1/2 - 11/4*h + h**3 + 7/2*h**2 + 7/4*h**5.
(h - 1)**3*(h + 1)*(7*h - 2)/4
Factor 80/9*l**4 + 0 + 8/3*l**3 + 0*l**2 + 0*l - 14/9*l**5.
-2*l**3*(l - 6)*(7*l + 2)/9
Let i(s) = -6*s + 72. Let b be i(12). Let o(u) be the second derivative of 0 + 0*u**3 - u - 1/18*u**4 + b*u**2. Factor o(x).
-2*x**2/3
Let r(w) be the second derivative of -w**6/3 - 19*w**5/10 + 5*w**4 - 345*w. Suppose r(h) = 0. Calculate h.
-5, 0, 6/5
Let p(d) be the third derivative of 12*d**2 + 1/72*d**4 - 1/45*d**5 - 1/360*d**6 + 0 + 0*d + 2/9*d**3. Let p(g) = 0. What is g?
-4, -1, 1
Let s(a) be the second derivative of a**4/6 + 20*a**3 + 900*a**2 + 15*a. Factor s(f).
2*(f + 30)**2
Let n(w) be the first derivative of 7*w**6/6 + 11*w**5/5 - 27*w**4/4 + 3*w**3 - 1012. Determine i so that n(i) = 0.
-3, 0, 3/7, 1
Let r = -467 - -3. Let p = r + 3264/7. Let 90/7*l**5 + 156/7*l**4 - 20*l**2 - 88/7*l - 2/7*l**3 - p = 0. Calculate l.
-1, -2/3, -2/5, 1
Factor -2/3*u**4 + 14/3*u**3 + 0 - 22/3*u**2 + 10/3*u.
-2*u*(u - 5)*(u - 1)**2/3
Let d(u) be the first derivative of -2*u**3/15 - 17*u**2/5 + 233. Suppose d(i) = 0. Calculate i.
-17, 0
Let h be 4/(-68)*(-6)/(-4)*2520/(-270). Factor -h - 2/17*v**2 - 16/17*v.
-2*(v + 1)*(v + 7)/17
Let l(a) be the second derivative of -a**8/11760 + a**7/1470 - a**6/420 + a**5/210 + 47*a**4/12 - 31*a. Let k(j) be the third derivative of l(j). Factor k(g).
-4*(g - 1)**3/7
Let p(r) be the first derivative of r**7/840 + r**6/60 + r**5/10 + r**4/3 - 3*r**3 - 7. Let d(s) be the third derivative of p(s). Suppose d(j) = 0. Calculate j.
-2
Let q be (120/28)/((-6)/42). Let t be (6/8)/(1 + q/48). Determine s so that 4/9*s**3 + 0 - 8/9*s**t + 4/9*s = 0.
0, 1
Suppose -5*l + 46 = -4*h, -3*l + 2776*h + 33 = 2773*h. Factor l*t + 0 + 1/4*t**4 - 5/2*t**2 + 1/4*t**3.
t*(t - 2)*(t - 1)*(t + 4)/4
Determine a, given that 2/7*a**2 + 8/7 - 10/7*a = 0.
1, 4
Factor 10*v**2 - 29*v - 91*v - 34*v**3 + 39*v**3.
5*v*(v - 4)*(v + 6)
Let n(a) be the third derivative of 1/72*a**4 + 2/45*a**5 + 0*a**3 + 0*a + 2/45*a**6 - 3*a**2 + 0. Factor n(o).
o*(4*o + 1)**2/3
Let l(t) be the third derivative of -t**6/300 - t**5/75 + t**4/60 + 2*t**3/15 + 11*t**2 + 5. Factor l(h).
-2*(h - 1)*(h + 1)*(h + 2)/5
Let m(i) be the first derivative of i**4 + 68*i**3/3 + 32*i**2 - 93. Factor m(s).
4*s*(s + 1)*(s + 16)
Let s = -5156 + 5158. Suppose 2/7*p**3 + 8/7*p**s - 2/7*p - 8/7 = 0. What is p?
-4, -1, 1
Let h(z) = -3*z**4 + 2*z**3 + 14*z**2 + 8*z + 1. Let w(j) = -j**5 - j**4 + j**3 - 1. Let l(d) = h(d) + w(d). Factor l(c).
-c*(c - 2)*(c + 1)**2*(c + 4)
Let l(c) be the second derivative of 10/21*c**7 + 0*c**3 + 0*c**2 - 8/5*c**6 + 0 + 9/5*c**5 + 3*c - 2/3*c**4. Solve l(z) = 0.
0, 2/5, 1
Let f(m) be the first derivative of -5