**5 - 3 + 36*c**3 - 2/3*c**x - 27*c**4 + 0*c. Factor q(h).
-4*h**2*(h - 3)**3
Suppose m = -0*m + 4*b + 46, 5*m - b - 173 = 0. Factor m*v + 29*v - 49*v - 2*v**2 + 0*v**2.
-2*v*(v - 7)
Suppose 16*r + 22 = 27*r. Determine i so that 6/5*i**3 + 0 + 0*i - 3/5*i**4 - 3/5*i**r = 0.
0, 1
Let o = -131/105 + 67/35. Factor -1/6 + 1/6*c**2 + 2/3*c**3 - o*c.
(c - 1)*(c + 1)*(4*c + 1)/6
Solve -63/4*l**2 + 0 - 3/4*l**3 - 15*l = 0.
-20, -1, 0
Let w(n) be the third derivative of -19*n**6/600 + 11*n**5/60 - 4*n**4/15 - 2*n**3/15 - 206*n**2. Factor w(r).
-(r - 2)*(r - 1)*(19*r + 2)/5
Let a(b) be the third derivative of -1/240*b**6 + 2*b - 41*b**2 + 0 + 0*b**4 + 0*b**3 + 1/60*b**5. Factor a(l).
-l**2*(l - 2)/2
Let k be (-24)/20*((-200)/(-12))/(-5). Let -3*g**5 - 12*g - g**k + 7*g**4 - 23*g**3 - 12*g**2 + 32*g**3 = 0. What is g?
-1, 0, 2
Let i(h) be the third derivative of h**5/15 + 19*h**4/2 - 236*h**3/3 - 199*h**2. Find p such that i(p) = 0.
-59, 2
Factor -18/7*p**2 - 3/7*p**3 + 0 - 27/7*p.
-3*p*(p + 3)**2/7
Let q(o) be the second derivative of -o**6/6 + o**5 - 25*o**4/12 + 5*o**3/3 + 18*o. Factor q(t).
-5*t*(t - 2)*(t - 1)**2
Let z(u) be the third derivative of -5*u**8/336 - 4*u**7/21 - 3*u**6/8 + 11*u**5/6 + 25*u**4/6 - 20*u**3 - 2*u**2 - 269*u. Let z(j) = 0. What is j?
-6, -2, 1
Determine k, given that 3/5*k**2 + 0 + 138/5*k = 0.
-46, 0
Let y(a) be the first derivative of -a**4/72 - a**3/18 - 2*a - 6. Let k(b) be the first derivative of y(b). Let k(i) = 0. Calculate i.
-2, 0
Suppose -216*y = -245*y. Factor -2/13*t**3 + 2/13*t**4 + 0 + y*t + 0*t**2.
2*t**3*(t - 1)/13
Let l be (((-27)/(-4))/3)/(((-114)/8)/(-19)). Factor 4/7*b**l + 0 - 4/7*b + 0*b**2.
4*b*(b - 1)*(b + 1)/7
Let r(q) = q**4 - 3*q**4 + 4*q**3 + 3*q**3 + q**2 - 6*q**3 - q. Let o(m) = -5*m**4 - m**3 + 11*m**2 + 25*m. Let y(f) = o(f) - 2*r(f). Factor y(p).
-p*(p - 3)*(p + 3)**2
Let k = 8738/9 - 2912/3. Suppose 2/3*q**2 + 0 - k*q**4 - 4/9*q + 0*q**3 = 0. Calculate q.
-2, 0, 1
Suppose 3*l - 5*q = 26, 4*l - q + 2*q - 4 = 0. Let 3*u**l + 27 - 2*u - 5*u - 11*u = 0. Calculate u.
3
Suppose 0*u = -5*u + 25. Suppose 4*o - 12 = 2*t + 2, 2*o - u = 3*t. Factor -10 - 11*s**2 + 24*s + 1 - o*s**2.
-3*(s - 1)*(5*s - 3)
Let h(x) = x - 1. Let z(o) = 4*o**2 + 36*o + 216. Let c(u) = -20*h(u) - z(u). Factor c(v).
-4*(v + 7)**2
Factor 4/7*c**3 - 24/7 + 44/7*c - 24/7*c**2.
4*(c - 3)*(c - 2)*(c - 1)/7
Let x be 20/(-16) + 1 + 6/12. Let r(q) be the third derivative of 0 + 0*q - 13/80*q**6 - 2/5*q**5 + 0*q**3 - x*q**4 - 3/140*q**7 - 2*q**2. Factor r(u).
-3*u*(u + 2)**2*(3*u + 1)/2
Let b(d) be the third derivative of -d**8/112 + d**7/70 + d**6/40 - d**5/20 + 42*d**2. Factor b(y).
-3*y**2*(y - 1)**2*(y + 1)
Let b(s) be the first derivative of -s**6/2160 - 7*s**5/720 - s**4/24 - 6*s**3 + 15. Let f(o) be the third derivative of b(o). Suppose f(v) = 0. Calculate v.
-6, -1
Let y(w) = 2*w**3 - 29*w**2 + 13*w + 20. Let m be y(14). Find g such that 53 - m*g - 106 + 3*g**2 + 29 = 0.
-2, 4
Let l(g) be the first derivative of -g**4/30 + 2*g**3/15 - 2*g**2/15 + 221. Determine h, given that l(h) = 0.
0, 1, 2
Let r(l) = 7*l**2 + 65*l - 186. Let t(j) = -9*j**2 - 65*j + 187. Let o(k) = 7*r(k) + 6*t(k). Solve o(n) = 0 for n.
4, 9
Determine r so that 2/5*r**4 + 0 + 6/5*r**2 - 2*r**3 + 2/5*r**5 + 0*r = 0.
-3, 0, 1
Let f = -33046/55 + 7245/11. Let d = f + -3059/55. Suppose 16/11 - d*r - 2/11*r**3 + 12/11*r**2 = 0. Calculate r.
2
Find z such that -32/13 - 56/13*z**2 + 72/13*z - 2/13*z**4 + 18/13*z**3 = 0.
1, 2, 4
Let d(c) = 2*c + 22. Let g be d(-9). Suppose l + g - 6*l - 2*l + l + 2*l**3 = 0. What is l?
-2, 1
Let c(l) be the third derivative of l**5/110 + 7*l**4/44 + 10*l**3/11 + 626*l**2. Factor c(w).
6*(w + 2)*(w + 5)/11
Let f(h) be the first derivative of h**4/4 - 14*h**3/9 + 10*h**2/3 - 8*h/3 + 50. Factor f(a).
(a - 2)**2*(3*a - 2)/3
Let v(z) be the second derivative of -z**5/4 + 5*z**4/6 + 35*z**3/2 + 45*z**2 - 87*z - 1. Factor v(g).
-5*(g - 6)*(g + 1)*(g + 3)
Let w = -5 - -11. Let t be w/8*6 + (-9)/18. Factor -1/4*a**2 - t - 2*a.
-(a + 4)**2/4
Factor -2/7*n**2 - 122/7 + 124/7*n.
-2*(n - 61)*(n - 1)/7
Let d(k) be the first derivative of 2*k**3/39 - 4*k**2/13 + 8*k/13 - 95. Solve d(n) = 0.
2
Let h(v) be the third derivative of -v**7/1155 - 4*v**6/165 - 47*v**5/165 - 20*v**4/11 - 75*v**3/11 - 66*v**2. Find d such that h(d) = 0.
-5, -3
Suppose -3*v + 4*v + 5*z = 15, -z = 5*v - 99. Suppose 2*o - 84 = -v. Solve -5*f**2 - 64 + 3*f**2 + o*f - 2*f**2 = 0.
4
Let z(f) = -f - 3. Let l = -15 - -9. Let k be z(l). Determine p so that -2*p + 5*p**3 + 2*p**k - 3*p**3 - 3*p**5 + p**5 = 0.
-1, 0, 1
Let t(q) be the first derivative of 0*q + 7 + 2/3*q**2 + 5/12*q**4 - 1/15*q**5 - 8/9*q**3. Factor t(x).
-x*(x - 2)**2*(x - 1)/3
What is r in -16/3*r + 1/3*r**3 + 4/3*r**2 - 64/3 = 0?
-4, 4
Let w(c) = 3*c**3 + 6*c**2 - 3*c. Let m(q) = -q**4 + 2*q**3 + 6*q**2 - 2*q - 1. Let k(l) = 3*m(l) - 2*w(l). Suppose k(j) = 0. What is j?
-1, 1
Let b(x) be the third derivative of -21*x**2 + 0*x + 5/18*x**4 - 4/9*x**3 + 0 + 2/45*x**5 - 1/18*x**6. Factor b(k).
-4*(k - 1)*(k + 1)*(5*k - 2)/3
Let k = 216 - 216. Let m(j) be the third derivative of k + 0*j**4 + 0*j + 7*j**2 + 1/54*j**3 + 1/180*j**6 - 7/540*j**5. Factor m(x).
(x - 1)*(2*x - 1)*(3*x + 1)/9
Let a(r) be the second derivative of 7/15*r**6 + 0*r**3 + 1/3*r**4 + 0 - 19*r - 9/10*r**5 + 0*r**2. Suppose a(q) = 0. Calculate q.
0, 2/7, 1
Let j be (-1 - 1 - 152) + (-4)/(-2). Let u = j + 305/2. Solve 1/2*w**2 - 1/2*w**4 + 1/2*w**5 + 0 + 0*w - u*w**3 = 0 for w.
-1, 0, 1
Let n(t) be the first derivative of 2*t**3/45 - 22*t**2/15 + 14*t/5 - 220. Factor n(v).
2*(v - 21)*(v - 1)/15
Suppose -4*h + 1 + 7 = 0. Factor -27 + 0*m + h*m - 3*m**2 - m - 19*m.
-3*(m + 3)**2
Let l = 8 - 6. Let m = 4 - l. Factor m*u**4 - u**2 - 5*u**5 + 2*u**3 - u**2 + 3*u**5.
-2*u**2*(u - 1)**2*(u + 1)
Let x(r) = r**4 + r**3 + r**2 - r - 3. Let u(k) = 6*k**4 - 33*k**3 + 138*k**2 - 177*k + 63. Let m(i) = u(i) - 3*x(i). Suppose m(s) = 0. What is s?
1, 4, 6
Let w = 128/579 - -2/1737. What is z in 2/9*z**3 + 0*z - w*z**2 + 0 = 0?
0, 1
Let h(s) be the third derivative of s**10/864 + s**9/252 + s**8/448 - s**7/252 + 11*s**4/24 - 9*s**2. Let f(q) be the second derivative of h(q). Factor f(i).
5*i**2*(i + 1)**2*(7*i - 2)
Let m = 24939 + -324205/13. Suppose -2/13*t**3 + m*t - 12/13 + 12/13*t**2 = 0. What is t?
-1, 1, 6
Let p = -23/12 + 55/12. Let w(x) be the first derivative of 3*x**2 + 0*x + 3 + p*x**3. Factor w(h).
2*h*(4*h + 3)
Suppose 3*i = 6*i + 9, -8 = -5*p + i. Let f be p/(2/4) + 0. Determine o, given that 2*o**3 - o**3 - f*o**3 + 2*o**2 - o = 0.
0, 1
Let i(v) be the first derivative of -3*v**5/10 - 9*v**4/4 + 27*v**3/2 + 928. Factor i(y).
-3*y**2*(y - 3)*(y + 9)/2
Let o(a) be the first derivative of 2*a**3/9 - 7*a**2 + 36*a + 451. Factor o(s).
2*(s - 18)*(s - 3)/3
Let h(t) be the second derivative of t**5 + t**4 - 4*t**3/3 + t + 29. Factor h(o).
4*o*(o + 1)*(5*o - 2)
Let t(h) = -156*h**3 - 237*h**2 - 36*h. Let p(d) = 39*d**3 + 60*d**2 + 9*d. Let l(f) = 15*p(f) + 4*t(f). What is x in l(x) = 0?
-1, -3/13, 0
Let a(f) be the second derivative of -5*f**9/504 - f**8/168 + 17*f**7/1260 - f**6/180 - 5*f**4/3 + 37*f. Let v(s) be the third derivative of a(s). Factor v(n).
-2*n*(3*n + 2)*(5*n - 1)**2
Let k be (-45)/40*(-36)/81. Factor -3/2*o - k*o**2 + 2.
-(o - 1)*(o + 4)/2
Let w = 5478 - 5478. What is a in 0*a + 1/9*a**4 - 2/9*a**3 + w + 1/9*a**2 = 0?
0, 1
Let k(j) = 7*j**3 - 14*j**2 + 4*j - 2. Let w = 4 - 6. Let r be 3/24*58 - 5/20. Let d(y) = 20*y**3 - 43*y**2 + 12*y - 7. Let g(v) = r*k(v) + w*d(v). Factor g(o).
o*(3*o - 2)**2
Let v = -88 + 141. What is l in -27*l + v*l + 7*l**2 - 6 + 6*l**3 - 33*l**2 = 0?
1/3, 1, 3
Factor -14*t**3 + 3 + 1 + 6*t**2 + 18*t + 14*t**3 - 8*t**3.
-2*(t - 2)*(t + 1)*(4*t + 1)
Let -93/4*g + 1/4*g**2 + 23 = 0. What is g?
1, 92
Let o(l) be the third derivative of 1/112*l**8 + 4/5*l**5 + 0*l + 1/10*l**6 - 1/14*l**7 + 8*l**3 - 4*l**4 - 3*l**2 + 0. Factor o(f).
3*(f - 2)**3*(f - 1)*(f + 2)
Let b(h) be the third derivative of 40*h**2 - 1/1200*h**6 + 1/700*h**7 + 0*h + 0*h**3 - 1/200*h**5 + 0 + 1/240*h**4. Factor b(r).
r*(r - 1)*(r + 1)*(3*r - 1)/10
Let r(d) = -7*d**2 + 47*d + 150. Let f(p) = -75 - 4*p + 9*p**2 - 8*p - 12*p - 6*p**2. Let n(u) = 13*f(u) 