/6 - 2*o. Let w(h) be the third derivative of r(h). Solve w(y) = 0.
-2/3, -2/5, 0
Let h(z) = -79 + 15 + 45 - z**3 - 12*z**2 - 2*z. Let u be h(-12). Factor 1/4*b**4 + 1/4*b**u - 1/4*b**2 + 0 + 0*b - 1/4*b**3.
b**2*(b - 1)*(b + 1)**2/4
Let d(a) = -a**2 - a - 4. Let p be d(0). Let f = p - -8. Solve -q**4 - 7*q**4 + f*q**4 = 0 for q.
0
Let w(c) be the first derivative of 1/16*c**6 + 3 - 23/4*c**3 + 99/16*c**2 + 45/16*c**4 - 27/40*c**5 - 27/8*c. Determine s so that w(s) = 0.
1, 3
Let q(t) = t**3 + 5*t**2 + 6*t - 36. Let f(l) = -2*l**3 - 16*l**2 - 18*l + 108. Let r(a) = 3*f(a) + 8*q(a). Let r(z) = 0. What is z?
-2, 3
Let o = 81116/5 - 16223. Solve -24/5*g**2 + 2*g - 2*g**3 - o*g**4 + 5 = 0.
-5, -1, 1
Let v(k) be the third derivative of 1/180*k**5 + 9*k**2 + 0 + 0*k**4 + 0*k - 2/9*k**3. Factor v(j).
(j - 2)*(j + 2)/3
Suppose 2*k = -5*s + 31, 0*k - k + 23 = 4*s. Let b(n) = n**2 - 83*n + 2. Let a be b(0). Factor -96/5*u**s - 4/5*u + 36/5*u**a + 0 - 24*u**3 + 176/5*u**4.
-4*u*(2*u - 1)**3*(3*u - 1)/5
Let z(t) be the second derivative of t**4/54 + 41*t**3/27 + 40*t**2/9 - 30*t - 4. Determine r, given that z(r) = 0.
-40, -1
Let q(i) be the third derivative of 1/3*i**6 + 0*i**4 - 1/3*i**5 + 0*i - 5/42*i**7 + 0 + 5/336*i**8 + 0*i**3 + 12*i**2. Find m such that q(m) = 0.
0, 1, 2
Let k = 14956/5 + -2991. Determine g so that 2/5*g - 2/5*g**3 + 0 + 1/5*g**2 - k*g**4 = 0.
-2, -1, 0, 1
Let z(j) = j**2 + 6*j - 2. Let p be z(-7). Suppose -p*s + 3*s = -2. Let s - 1/2*h**4 + 3/2*h**2 + 1/2*h**3 - 5/2*h = 0. Calculate h.
-2, 1
Let p = -128030/3 - -42679. Suppose 0 - 8/3*r**2 + 1/3*r**3 + p*r = 0. Calculate r.
0, 1, 7
Let f(m) = -m**3 - 2*m**2. Let o(c) = 7*c**3 + 13*c**2 - 30*c. Let i(s) = 6*f(s) + o(s). Solve i(v) = 0.
-6, 0, 5
Let g(a) be the second derivative of 0 + 1/10*a**6 - 30*a + 3/20*a**5 + 0*a**2 - a**4 - 2*a**3. Factor g(p).
3*p*(p - 2)*(p + 1)*(p + 2)
Factor 4*d**3 + d**4 + 4*d**3 + 2*d**3 - 3*d**3 + 144 - 96*d - 8*d**2 + d**3.
(d - 2)**2*(d + 6)**2
Let t be -12 - 224/(16/(-1)). Factor 0 + 1/6*n**t - n + 1/6*n**3.
n*(n - 2)*(n + 3)/6
Suppose 18*h + 2*h**5 - 108 + 144*h**2 + 68/3*h**4 + 92*h**3 = 0. What is h?
-3, 2/3
Factor -16/3 - 10/9*x + 2/9*x**2.
2*(x - 8)*(x + 3)/9
Let h(l) be the second derivative of l**7/63 - 2*l**6/45 + l**4/9 - l**3/9 - l + 120. Solve h(n) = 0 for n.
-1, 0, 1
Suppose -2*c + 3*q - 12 = 0, 158 - 173 = -7*c + q. Factor 4*o - 4/3*o**5 - 8/3*o**2 - 4/3 - 8/3*o**c + 4*o**4.
-4*(o - 1)**4*(o + 1)/3
Let i(x) be the third derivative of -1/48*x**4 + 0 - 1/36*x**3 - 39*x**2 + 0*x - 1/720*x**6 - 1/120*x**5. Factor i(u).
-(u + 1)**3/6
Let b = 6 - 4. Suppose 451*p - 453*p + 6 = 0. Factor p*y**b - 3/2 + 21/4*y.
3*(y + 2)*(4*y - 1)/4
Let o(v) be the second derivative of v**5/30 - v**4/18 - 7*v**3/3 + 15*v**2 + 6*v - 14. Factor o(h).
2*(h - 3)**2*(h + 5)/3
Let a = 43 - 35. Solve 16*y**4 + 14*y**3 + 47*y**3 - 12*y - 16*y**5 - 17*y**3 - a*y - 16*y**2 + 8 = 0.
-1, 1/2, 2
Let a(o) be the third derivative of o**5/210 + 23*o**4/84 - 50*o**3/21 + 55*o**2 + 2*o. Factor a(f).
2*(f - 2)*(f + 25)/7
Let y(w) = -875*w + 6127. Let p be y(7). Determine r so that -3*r**2 + p*r - 1/3 = 0.
1/3
Let s = 6 - 1. Let d(t) = -9*t**2 + 11. Let o(v) = -10*v**2 + 10. Let b(q) = s*o(q) - 6*d(q). Factor b(f).
4*(f - 2)*(f + 2)
Suppose 10*k - 752 + 72 = 0. Let y = k + -202/3. Factor 0 + 2/3*m**3 - 2/3*m - y*m**4 + 2/3*m**2.
-2*m*(m - 1)**2*(m + 1)/3
Let a(m) = 3*m**2 - 4*m + 1. Let k(j) be the second derivative of j**4/12 - j**3/6 + 6*j. Let x(y) = a(y) - 4*k(y). Solve x(b) = 0.
-1, 1
Let x(u) be the first derivative of -2/5*u - 2/15*u**3 + 2/5*u**2 - 10. Solve x(d) = 0.
1
Let k(l) be the first derivative of -l**5/20 - l**4/4 + l**3 + 4*l**2 - 16*l - 225. Let k(c) = 0. Calculate c.
-4, 2
Let l(h) be the second derivative of -1/12*h**3 - 7*h + 0 + 1/40*h**5 + 1/24*h**4 - 1/60*h**6 + 0*h**2. What is y in l(y) = 0?
-1, 0, 1
Let g(p) = 4*p**2 - 23*p - 27. Let w(a) = a**2 - 1. Let d(r) = -3*g(r) + 15*w(r). Let d(q) = 0. Calculate q.
-22, -1
Let i(g) be the second derivative of -g**6/330 + g**4/22 - 4*g**3/33 + 3*g**2/22 + 52*g - 1. Factor i(w).
-(w - 1)**3*(w + 3)/11
Factor 175 + 54*p + 0*p**2 - 84*p + 7*p**2 - 2*p**2 - 150*p.
5*(p - 35)*(p - 1)
Let l be 5 + 2*(-25)/10. Factor l*c + 4/7*c**5 + 0*c**4 - 12/7*c**3 + 8/7*c**2 + 0.
4*c**2*(c - 1)**2*(c + 2)/7
Let k(a) be the third derivative of a**6/200 + a**5/100 - 114*a**2. Find o, given that k(o) = 0.
-1, 0
Let l(t) be the third derivative of t**7/840 + 23*t**6/480 + 47*t**5/80 + 77*t**4/96 - 121*t**3/12 - 5*t**2 + 7*t. Suppose l(x) = 0. What is x?
-11, -2, 1
Determine s so that 1/3*s**5 + 0*s + 0 + 4/3*s**4 + 2/3*s**2 + 5/3*s**3 = 0.
-2, -1, 0
Let w be -474*(-4)/264 - (-4 - -11). Factor 0 - 2/11*i - w*i**2.
-2*i*(i + 1)/11
Suppose 3*h = 48 + 243. Suppose -5*j - 3*t + h = 31, j = -3*t + 18. Factor 7 - j*y + 6 + 24*y**3 - y**2 - 11 + 11*y**2.
2*(y + 1)*(3*y - 1)*(4*y - 1)
Let j(r) be the second derivative of -r**6/45 - 2*r**5/15 + r**4/6 + 14*r**3/9 + 8*r**2/3 + 29*r - 2. Let j(f) = 0. Calculate f.
-4, -1, 2
Let r(y) be the second derivative of -y**6/120 + y**5/20 - y**4/16 - 95*y - 2. Factor r(t).
-t**2*(t - 3)*(t - 1)/4
Let q(c) be the third derivative of 0*c + 1/56*c**4 + 0 + 13*c**2 + 1/42*c**3 + 1/210*c**5. Factor q(y).
(y + 1)*(2*y + 1)/7
Let b(k) be the first derivative of -2*k**6/15 + 8*k**4/5 - 8*k**3/5 - 14*k**2/5 + 24*k/5 - 631. Suppose b(w) = 0. Calculate w.
-3, -1, 1, 2
Let c(d) be the second derivative of d**5/420 + d**4/56 - 3*d**2 - 12*d. Let i(r) be the first derivative of c(r). Find g such that i(g) = 0.
-3, 0
Let i(d) be the second derivative of -d**4 - 3*d - 3/20*d**5 + 0 + 0*d**2 - 2*d**3. Factor i(n).
-3*n*(n + 2)**2
Let w(g) be the third derivative of g**8/168 + 3*g**7/70 + 13*g**6/120 + g**5/10 + 56*g**2. Factor w(s).
s**2*(s + 1)*(s + 2)*(2*s + 3)
Let -606*u**2 - 10*u**3 + 11*u**3 + 597*u**2 + 16 + 6*u = 0. What is u?
-1, 2, 8
Let r = 2141 - 2136. Let o(h) = 2*h - 4. Let f be o(3). Factor 2/5*j**r + j**4 - 4/5*j**f - 4/5*j + 2/5*j**3 - 1/5.
(j - 1)*(j + 1)**3*(2*j + 1)/5
Suppose 5*b - 2*v - 110 = 3*v, -19 = -b - 2*v. Suppose -18*y + b*y = 9. Factor 0 + 0*l + 1/3*l**2 + 1/3*l**y.
l**2*(l + 1)/3
Let x(i) be the first derivative of 17 + i**4 - 4*i**2 - 1/12*i**6 + 0*i**3 + 0*i + 0*i**5. Suppose x(t) = 0. Calculate t.
-2, 0, 2
Suppose 18*z = 24*z - 12. Factor -9 + 4*s**3 + 0 + 9 + 20*s**z - 4*s - 20.
4*(s - 1)*(s + 1)*(s + 5)
Let d be (15 - 189/18)/((-12)/(-10)). Determine v, given that 0 - d*v**2 + 15/4*v**4 + 3*v**5 - 9/4*v**3 - 3/4*v = 0.
-1, -1/4, 0, 1
Let d(o) be the first derivative of 2*o**3/33 - 108*o**2/11 + 5832*o/11 - 198. Suppose d(f) = 0. What is f?
54
Let u be (-40)/12*(-126)/105. Let k(d) be the second derivative of 8*d + 0 + 3/14*d**3 + 1/28*d**u + 3/7*d**2. Factor k(r).
3*(r + 1)*(r + 2)/7
Suppose t + 2*t - 4*s = -77, -3*t - 37 = 4*s. Let h(z) = 2*z**2 + 38*z + 2. Let w be h(t). Factor 1/4*k**4 - w - 5/4*k**3 + 3/2*k**2 + k.
(k - 2)**3*(k + 1)/4
Suppose 5*y = -5*l - 30, -4*y - 147*l + 18 = -150*l. What is h in y + 0*h**2 + 0*h - h**3 - h**4 - 1/4*h**5 = 0?
-2, 0
Let r(m) be the second derivative of 2*m**6/75 - m**5/5 + m**4/5 + 2*m**3/3 - 8*m**2/5 - 77*m. Factor r(v).
4*(v - 4)*(v - 1)**2*(v + 1)/5
Let b(a) = -5*a**2 - 7*a + 1. Let q(v) = -v**2. Let c(r) = -b(r) + 6*q(r). Let g(y) = 2*y**2 - 13*y + 3. Let k(h) = 5*c(h) + 3*g(h). Factor k(z).
(z - 2)**2
Let m = -118 - -131. Suppose 8*p**2 - 29 + 19 - 12*p**3 + 2*p**4 + m*p - p = 0. Calculate p.
-1, 1, 5
Let f(z) be the second derivative of 1/20*z**5 + 0*z**2 + 14*z + 0*z**3 + 0 + 7/6*z**4. Determine v so that f(v) = 0.
-14, 0
Let c(z) be the third derivative of -8*z**2 + 0*z**3 + 1/12*z**4 + 0*z - 1/30*z**5 + 0. Factor c(i).
-2*i*(i - 1)
Find f, given that -1/3*f**5 - 1639/3*f**3 + 800/3 - 1439/6*f**2 + 1640/3*f - 161/6*f**4 = 0.
-40, -1, -1/2, 1
Let i(a) = -122*a - 968. Let z be i(-8). Find m such that 2/9*m**4 + 70/9*m**2 + 8/3*m**3 - 8/3*m - z = 0.
-6, -1, 1
Suppose 11*k + 12*k = 0. Let g(t) be the second derivative of 1/80*t**5 - 1/24*t**3 + 0 + k*t**2 + 0*t**4 - 6*t. Solve g(z) = 0 for z.
-1, 0, 1
Let z(s) = 8*s**3 + 12*s**2 - 44*s - 48. Let f(j) = j**3 + 3*j**2 - 2. Let y(m) = -12*f(m) + z(m). Factor y(a).
-4*(a + 1)*(a + 2)*(a + 3)
Let