 9*a**2 - 23. Let p(s) be the second derivative of j(s). Factor p(h).
-3*(h - 1)*(h + 1)/4
Let p(a) be the third derivative of -a**7/2520 + a**6/40 - 27*a**5/40 + 41*a**4/24 + 18*a**2. Let j(n) be the second derivative of p(n). Factor j(i).
-(i - 9)**2
Let g(h) be the first derivative of h**5/5 - 13*h**4/4 + 46*h**3/3 - 24*h**2 + 425. Factor g(m).
m*(m - 8)*(m - 3)*(m - 2)
Let s(b) be the second derivative of b**6/15 - b**5/2 + b**4/3 + 8*b**3/3 + 158*b. Factor s(n).
2*n*(n - 4)*(n - 2)*(n + 1)
Let b be 12 + -2 - 1248/144. Solve -2/3*c**5 - 2/3*c - 4/3 + 4/3*c**3 + 8/3*c**2 - b*c**4 = 0 for c.
-2, -1, 1
Let g = -49 + 53. Let b(w) be the third derivative of 1/300*w**5 + 0*w**3 - 6*w**2 + 0*w + 0 + 1/120*w**g. Factor b(u).
u*(u + 1)/5
Let o be 7*((-2)/(48/184) - -7)*-1. Determine q so that 4/3*q**2 + o*q + 4 = 0.
-2, -3/2
Let a(b) = 4*b**4 + b**3 - 47*b**2 - 3. Let g(m) = 3*m**4 - m**3 - 48*m**2 - 2. Let i(c) = -2*a(c) + 3*g(c). Find l such that i(l) = 0.
-5, 0, 10
Let d(u) be the first derivative of u**4/14 + 2*u**3/21 - 2*u**2/7 - 20. Factor d(h).
2*h*(h - 1)*(h + 2)/7
Let q(n) be the third derivative of -n**7/70 + 19*n**6/40 - 223*n**2. Factor q(p).
-3*p**3*(p - 19)
Let c(t) = -t**3 - 34*t**2 - 56*t - 44. Let k(m) = -15*m**3 - 475*m**2 - 785*m - 615. Let q(w) = -55*c(w) + 4*k(w). Factor q(b).
-5*(b + 2)**3
Let p(b) = -b**3 - 3*b**2 - b + 3. Let k be p(-3). Let t(z) = z**2 - 5*z - 3. Let u be t(k). Factor -2 + 6*v - 3*v**2 - 15*v**3 - 3*v**2 + 17*v**u.
2*(v - 1)**3
Let o(l) be the first derivative of 4/5*l**2 + 4 + 8/5*l + 2/15*l**3. Factor o(r).
2*(r + 2)**2/5
Let g = 122/303 - 7/101. Factor 0 + 0*i - 1/6*i**3 - g*i**2.
-i**2*(i + 2)/6
Let g(h) be the second derivative of 1/14*h**7 - 3/20*h**5 + 3/10*h**6 + 0*h**2 + 0*h**3 - 7*h - 3/4*h**4 + 0. Factor g(c).
3*c**2*(c - 1)*(c + 1)*(c + 3)
Let a(o) be the first derivative of -2*o**6/3 - 8*o**5/5 + 7*o**4 - 16*o**3/3 + 89. Factor a(j).
-4*j**2*(j - 1)**2*(j + 4)
Let y(g) be the first derivative of -32*g**4/3 + 32*g**3/3 + 117*g**2 + 162*g - 16. What is x in y(x) = 0?
-9/8, 3
Suppose -r + 6*r - k = 16, r - 5 = 2*k. Find a, given that 1/5*a**r - 3/5 - 1/5*a**2 - a = 0.
-1, 3
Let n(w) be the second derivative of w**6/70 - 3*w**5/28 + w**4/7 + 127*w. Factor n(y).
3*y**2*(y - 4)*(y - 1)/7
Factor -2/5*a**2 - 36/5*a - 64/5.
-2*(a + 2)*(a + 16)/5
Let a(u) be the first derivative of 0*u - 1/4*u**6 - 3/4*u**2 + 3 + 0*u**3 + 0*u**5 + 3/4*u**4. Factor a(x).
-3*x*(x - 1)**2*(x + 1)**2/2
Let y(c) be the second derivative of 0 + 5/12*c**4 - 2*c + 14/3*c**3 - 6*c**2. Find d such that y(d) = 0.
-6, 2/5
Determine v so that 2*v**2 - 6 - 1 - 3*v**2 - 5 + 0 - 7*v = 0.
-4, -3
Suppose 0*h - a = -3*h + 33, -h + 3*a = -3. Suppose -2*c + 4 = -j, h = -0*c - c - 3*j. Factor n + n**2 + n - n + c*n.
n*(n + 1)
Let b be (-3 - (5 + -8)) + 5. Let -16 + 44*m**2 - 80*m**3 + 46*m**4 + 16*m + 61*m**b - 69*m**5 - 2*m**4 = 0. Calculate m.
-1/2, 1, 2
Let j = 91 - 97. Let i(x) = -5*x**2 + x. Let w(d) = -56*d**2 + 10*d. Let r(l) = j*w(l) + 68*i(l). Factor r(z).
-4*z*(z - 2)
Factor -2/3*l**2 - 376/3*l - 17672/3.
-2*(l + 94)**2/3
Let y(q) be the first derivative of -5 - 12/7*q - 5/7*q**2 + 2/21*q**3. What is p in y(p) = 0?
-1, 6
Suppose -4*k - 1 = 3*q, -8 = 2*k + 3*q - 3. Factor -7*g**2 + g + 4*g**2 + 5*g**2 - k*g**4 - g**5.
-g*(g - 1)*(g + 1)**3
Let m(s) be the third derivative of s**5/60 - 23*s**4/24 - 4*s**3 + 47*s**2 + s. Factor m(x).
(x - 24)*(x + 1)
Let l(z) be the second derivative of -z**7/1260 - z**6/72 - z**5/15 - 17*z**4/6 - 11*z. Let t(h) be the third derivative of l(h). Factor t(u).
-2*(u + 1)*(u + 4)
Let a be (4 + 4)/(-2) - -10. Factor -12*t**2 - 24*t + 0 - 22 + 0*t**2 - 2*t**3 + a.
-2*(t + 2)**3
Suppose -3 - 7 = -2*s, -2*a - 2*s + 16 = 0. Let w(o) be the second derivative of 0 + o + 1/24*o**4 - 1/6*o**a - 3/4*o**2. Solve w(f) = 0.
-1, 3
Let j be (1/(-2))/(6/36). Let s be (-1)/j*6*2. Find n, given that 402*n - 402*n - 4*n**2 + 4*n**s = 0.
-1, 0, 1
Let x(d) be the second derivative of 0*d**2 + 1/39*d**4 - 1/130*d**5 + 7*d - 1/195*d**6 + 0*d**3 + 0. Factor x(u).
-2*u**2*(u - 1)*(u + 2)/13
Let o(x) = x**3 + x**2 - 3*x. Let i(s) = -129*s**3 + 9311*s**2 - 225813*s + 1825346. Let h(r) = i(r) + o(r). What is m in h(m) = 0?
97/4
Factor 2*y**2 + 2/5*y**3 + 8/5*y + 0.
2*y*(y + 1)*(y + 4)/5
Let y(u) be the first derivative of -u**3/3 + 40*u**2 - 1600*u + 188. Factor y(c).
-(c - 40)**2
Suppose 7*j - 16 = 3*j. Suppose -j*a = -0*a - 12. Factor -2*p**2 + 12 + 4*p + a*p**4 - 9 - 4 - 4*p**3.
(p - 1)**2*(p + 1)*(3*p - 1)
Let g be 1 - 1 - (-61 + 11). Let x be 2/((g/(-12))/(-5)). Solve 16/5*d + 56/5*d**2 - 14/5*d**5 - 46/5*d**4 + 0 - x*d**3 = 0.
-2, -2/7, 0, 1
Let x(t) be the second derivative of t**4/36 + 103*t**3/9 + 10609*t**2/6 - 187*t. Factor x(v).
(v + 103)**2/3
Let b(l) be the third derivative of l**8/1848 + l**7/231 + 2*l**6/165 + 2*l**5/165 + 92*l**2. Determine g so that b(g) = 0.
-2, -1, 0
Let d(t) = -10*t**2 + t. Let q(k) = 9*k**2. Let v(u) = 3*d(u) + 2*q(u). Let w(l) = 11*l**2 - 4*l. Let r(b) = 6*v(b) + 7*w(b). Factor r(s).
5*s*(s - 2)
Suppose -5*n - 4 = -0*a - a, 2*a - 8 = -n. Let b be (3 - 3) + (-1 - n) + 5. Solve -6/7*i**3 + 0 - 3*i**5 + 0*i - 27/7*i**b + 0*i**2 = 0.
-1, -2/7, 0
Let l = -30 - -32. Let -16 + 0*c**l - 21*c**2 - 4*c**2 + 1 - 35*c - 5*c**3 = 0. What is c?
-3, -1
Suppose 0 = -5*d + 4*g - 39, 2*d - 3*g = -2*g - 18. Let j = -8 - d. Factor 3*z**2 + j*z**4 + 11*z**3 - 9*z - 2 - 2*z**3 - 4.
3*(z - 1)*(z + 1)**2*(z + 2)
Let b = 12/505 - -392/505. Suppose -8/5 + 14/5*r + b*r**2 = 0. Calculate r.
-4, 1/2
Let a(z) = -z**2. Let x = 128 + -122. Let m(v) = -7*v**2 - 7*v - 6. Let r(s) = x*a(s) - m(s). Factor r(h).
(h + 1)*(h + 6)
Let r = -301 - -2109/7. Let i(f) be the second derivative of 10*f + r*f**2 - 3/7*f**3 + 1/6*f**4 + 0. What is x in i(x) = 0?
2/7, 1
Let r(k) be the first derivative of 6*k**3 + 14/15*k**5 + 4/3*k - 13/3*k**2 - 23/6*k**4 - 8. Factor r(c).
2*(c - 1)**3*(7*c - 2)/3
Factor -175 - 5*r**2 + 175.
-5*r**2
Let u(t) be the second derivative of t**6/15 + 9*t**5/2 + 99*t**4 + 1044*t**3 + 5832*t**2 + 164*t. Factor u(b).
2*(b + 6)**3*(b + 27)
Let h(v) = 5*v**2 + 10*v - 15. Let x(p) = -6*p**2 - 13*p + 15. Let b(c) = -5*h(c) - 4*x(c). What is n in b(n) = 0?
-3, 5
Let i(o) be the first derivative of o**6/120 + o**5/4 + 25*o**4/8 + 17*o**3/3 + 13. Let d(n) be the third derivative of i(n). Factor d(l).
3*(l + 5)**2
Let 4*h**2 - 624 - 83*h + 578 + 266*h = 0. What is h?
-46, 1/4
Let u be 3266/1449 - 30/27. Suppose -54/7*y**2 - 8/7*y**4 + 16/7*y + u + 38/7*y**3 = 0. Calculate y.
-1/4, 1, 2
Let n(u) = -u. Let x be n(-8). Factor -12*m**3 + m**2 - 3*m**2 - x*m**2 - 23*m**3 - 25*m**4.
-5*m**2*(m + 1)*(5*m + 2)
Let h = 3041/65 + 6131/13. Factor -2/5*x**4 - h - 432/5*x**2 - 1728/5*x - 48/5*x**3.
-2*(x + 6)**4/5
Let d = 1836 + -16520/9. Determine t so that 0*t + d*t**2 + 0 - 1/9*t**3 = 0.
0, 4
Let d(y) be the third derivative of -y**6/200 - y**5/10 - 33*y**4/40 - 18*y**3/5 + 19*y**2 + 3*y. Find v, given that d(v) = 0.
-4, -3
Find i such that -18 - 15*i**2 + 69/2*i - 3/2*i**3 = 0.
-12, 1
Let r be 0 - (2 - -1)*-1. What is o in 2*o**4 - o**4 - 5*o**r + 4*o**4 = 0?
0, 1
Let t(k) be the first derivative of 12*k**4/11 + 2*k**3/11 - 24*k**2/11 - 6*k/11 + 49. Factor t(v).
6*(v - 1)*(v + 1)*(8*v + 1)/11
Let q(r) = -r**5 - 6*r**4 + 3*r**3 + 22*r**2 + 16*r. Let y(j) = 6*j**5 + 30*j**4 - 16*j**3 - 109*j**2 - 80*j. Let n(k) = -33*q(k) - 6*y(k). Factor n(f).
-3*f*(f - 4)**2*(f + 1)**2
Suppose -27*v = -106 - 2. Factor 2 - 7/2*k**2 + 5/2*k**3 - v*k.
(k - 2)*(k + 1)*(5*k - 2)/2
Let h(y) = -y**4 + y**3 - y**2 - 1. Let b(r) be the second derivative of -r**6/15 - r**4/6 - 2*r**2 - 3*r. Let p(q) = b(q) - 4*h(q). Factor p(i).
2*i**2*(i - 1)**2
Let n = 81 - 79. Factor n*r**3 - 11*r - 3*r**2 + 12*r**2 - r**4 - 3*r**3 + 4.
-(r - 1)**3*(r + 4)
Let n(k) = k**2 - 6*k - 24. Let f be n(9). Factor 1/5*u**f + 1/5*u + 0 - 2/5*u**2.
u*(u - 1)**2/5
Suppose -3*m - 2*m = -4*w + 2, 3*m + 2*w = 12. Solve 2 + 3*r + 2 - 1 + 3*r + 3*r**m = 0.
-1
Let l(d) be the first derivative of -5/2*d**4 + 5*d**3 + 5*d**2 - 19 + 0*d. Factor l(y).
-5*y*(y - 2)*(2*y + 1)
Let r(b) be the third derivative of 0 + 1/330*b**5 - 2*b**2 + 1/44*b**4 + 2/33*b**3 + 0*b. Factor r(c).
2*(c + 1)*(c 