 -5*o. Let l be -7*o/((-105)/(-12)). Factor 1/6*p + 1/2*p**3 - 1/2*p**2 - 1/6*p**l + 0.
-p*(p - 1)**3/6
Let z(t) be the third derivative of -t**9/6804 - t**8/1512 - t**7/945 - t**6/1620 + 17*t**3/6 - 36*t**2. Let l(y) be the first derivative of z(y). Factor l(b).
-2*b**2*(b + 1)**2*(2*b + 1)/9
Let t(s) be the second derivative of -5/4*s**5 - 25/6*s**6 + 26/3*s**3 + 3*s + 15/2*s**4 + 4*s**2 + 0. Let t(o) = 0. Calculate o.
-2/5, 1
Let o be -1 + 34/4 + (123 - 129). Let 17/6*v**2 - 7/6*v**3 + 8/3*v - 7/2*v**4 + 2/3 - o*v**5 = 0. Calculate v.
-1, -2/3, 1
Let v(o) be the first derivative of 3362*o**5/35 + 1517*o**4/7 + 694*o**3/7 - 296*o**2/7 + 32*o/7 - 336. Determine k so that v(k) = 0.
-1, 4/41
Let r(b) be the second derivative of b**6/60 - b**5/15 - 17*b**2/2 + 8*b. Let f(k) be the first derivative of r(k). Suppose f(c) = 0. Calculate c.
0, 2
Suppose -2*x + 1 = -9. Solve 5*l + l - 2*l**2 + l**2 - x = 0.
1, 5
Let m(q) be the second derivative of q**4/30 + 48*q**3/5 + 5184*q**2/5 - 95*q. Factor m(a).
2*(a + 72)**2/5
Let j(h) be the third derivative of -h**5/210 + 17*h**4/84 + 6*h**3/7 + 76*h**2. Factor j(u).
-2*(u - 18)*(u + 1)/7
Let k(u) be the second derivative of 0*u**2 + 11/10*u**5 + u**3 + 23/12*u**4 + 6*u + 1/6*u**6 + 0. Factor k(x).
x*(x + 1)*(x + 3)*(5*x + 2)
Suppose -27 = -4*l + 5*u, 3*u - 12 = 7*u. Let b(k) be the first derivative of 3 + 0*k**l + 0*k**5 - k**4 + 0*k + 1/3*k**6 + k**2. Suppose b(n) = 0. Calculate n.
-1, 0, 1
Suppose -2*j + 12 = 2*j, 10 = 4*c - 2*j. What is a in -2*a**2 + 7*a**4 + 4*a**3 + 6*a**4 + 8*a**4 - c*a - 19*a**4 = 0?
-2, -1, 0, 1
Let p(q) be the second derivative of 9*q**6/10 - 21*q**5/20 - q**4/2 - 41*q. Factor p(o).
3*o**2*(o - 1)*(9*o + 2)
Factor -6/7*d - 3/7*d**2 + 0.
-3*d*(d + 2)/7
Factor 86*y**3 + 6*y**2 - 288 - 48*y**2 - 89*y**3 - 192*y.
-3*(y + 4)**2*(y + 6)
Let o(k) be the third derivative of 0*k - 1/8*k**6 - 1/12*k**4 - 11/60*k**5 + 0 + 0*k**3 - 17*k**2. Determine s, given that o(s) = 0.
-2/5, -1/3, 0
Let d(f) be the first derivative of 25*f**6/14 - 6*f**5/7 - 18*f**4/7 + 10*f**3/7 - 3*f**2/14 + 184. Solve d(q) = 0.
-1, 0, 1/5, 1
Suppose 3*z + 73 = 3*p - 80, 3*z = -3*p + 141. Suppose 4*i + t - 40 - p = 0, 3*t = -5*i + 113. Factor g**3 - g**4 - i*g + 22*g.
-g**3*(g - 1)
Let a(n) = -n**3 + n**2 - n - 1. Let t(u) = -28*u**3 - 16*u**2 + 3*u + 4. Let j(m) = 4*a(m) + t(m). Suppose j(w) = 0. Calculate w.
-1/4, -1/8, 0
Let i(g) be the third derivative of g**8/33600 + g**7/1680 + g**6/300 - 19*g**5/60 + 34*g**2. Let q(f) be the third derivative of i(f). What is p in q(p) = 0?
-4, -1
Let a(s) be the second derivative of s**5/130 + 5*s**4/78 - s**3/3 + 7*s**2/13 - 51*s. Let a(j) = 0. What is j?
-7, 1
Factor 0 - 36/7*j**2 - 40/7*j + 4/7*j**3.
4*j*(j - 10)*(j + 1)/7
Factor -1032/7*s + 3/7*s**2 + 88752/7.
3*(s - 172)**2/7
Let p be (3 - 9) + 5776/960. Let m(t) be the third derivative of -7*t**2 - 8/3*t**3 - 1/3*t**4 - p*t**5 + 0*t + 0. Find c such that m(c) = 0.
-4
Factor 196/3 + 1/3*q**2 - 28/3*q.
(q - 14)**2/3
Factor 24/11 - 6/11*u**2 - 32/11*u.
-2*(u + 6)*(3*u - 2)/11
Factor 0 + 8*m + 1/6*m**3 - 8/3*m**2.
m*(m - 12)*(m - 4)/6
Let m(l) be the third derivative of 0 + 1/240*l**6 + 0*l + 0*l**4 + 0*l**3 - 7*l**2 + 1/120*l**5. Factor m(q).
q**2*(q + 1)/2
Let k(h) be the second derivative of -1/4*h**5 + 1/6*h**3 - 3/2*h**2 - 33*h + 7/12*h**4 + 0. Factor k(x).
-(x - 1)**2*(5*x + 3)
Let v be 460/110 - (-6)/(-33). Let k(h) be the second derivative of -v*h + 1/9*h**3 - 1/6*h**2 - 1/36*h**4 + 0. Factor k(l).
-(l - 1)**2/3
Let x(z) = -4*z**2 - 21*z - 1. Let a be x(-5). Factor -4/11*f**2 + 0*f**3 - 2/11*f**5 + 2/11*f + 4/11*f**a + 0.
-2*f*(f - 1)**3*(f + 1)/11
Suppose -57 = -32*s + 7. Let d(h) be the second derivative of -40/3*h**3 + 2/3*h**6 + 2*h**4 + 0 + 17/5*h**5 + s*h - 16*h**2. Factor d(q).
4*(q - 1)*(q + 2)**2*(5*q + 2)
Factor 2/7*m**2 - 912/7*m + 103968/7.
2*(m - 228)**2/7
Let k(v) be the second derivative of 3*v**5/100 + v**4/20 + 6*v - 10. Solve k(g) = 0 for g.
-1, 0
Let w(p) be the second derivative of 2*p**6/75 - 2*p**5/25 - 4*p**4/15 + 16*p**3/15 - 23*p - 2. What is q in w(q) = 0?
-2, 0, 2
Let d(c) be the first derivative of c**4/18 + 4*c**3/27 - 11*c**2/9 - 8*c/3 - 148. What is h in d(h) = 0?
-4, -1, 3
Let k = 36695 + -146765/4. Factor 3/4*t**5 - 12 + k*t**4 - 15/4*t**3 - 75/4*t**2 + 30*t.
3*(t - 1)**3*(t + 4)**2/4
Let m(f) be the first derivative of -2*f**5/5 + 3*f**4 - 16*f**3/3 - 6*f**2 + 18*f - 225. Find l such that m(l) = 0.
-1, 1, 3
Let t = -1076 + 1080. Suppose -3*i = -7*i. Determine b, given that -2/3*b**t + 0*b**2 + i + 0*b + 2/3*b**3 = 0.
0, 1
Let i be 15*(-3)/(-18)*(2 + 0). Let -106*j**2 + 97*j**2 - 1 - i - 29*j = 0. Calculate j.
-3, -2/9
Let n(f) be the second derivative of -f**4/15 - 61*f**3/30 - 3*f**2/2 + 2*f + 56. Factor n(l).
-(l + 15)*(4*l + 1)/5
Let x(k) be the first derivative of 3*k**4/4 - 8*k**3 - 66*k**2 - 144*k + 9. Factor x(o).
3*(o - 12)*(o + 2)**2
Let h be 4 + (-4)/(-5 + 3). Suppose 4*v = c + 7, 4*v - h*v + 9 = 5*c. Factor 2*w - 2*w - w**4 + v*w + 6*w**2 + 6*w**3 + 3*w**4.
2*w*(w + 1)**3
Let i(g) be the third derivative of -g**9/52920 - g**8/5880 - g**4/6 + 4*g**3/3 - 43*g**2. Let o(v) be the second derivative of i(v). Solve o(l) = 0.
-4, 0
Factor 9/2*w - 3/4*w**3 + 0 - 15/4*w**2.
-3*w*(w - 1)*(w + 6)/4
Determine x so that -21*x**2 + 2*x**3 - 63*x + 225*x - 102*x - 25 = 0.
1/2, 5
Suppose 209*q - 191*q - 72 = 0. Let 1/2*b + 3/2*b**2 + 1/2*b**q + 0 + 3/2*b**3 = 0. Calculate b.
-1, 0
Let p(i) = 3*i**3 + 19*i**2 + 14*i. Let g(t) = -3*t**3 - 18*t**2 - 12*t. Let v(w) = 7*g(w) + 6*p(w). Factor v(d).
-3*d**2*(d + 4)
Factor 95*x**2 - 117 + 57 - 5*x**3 - 170*x + 60.
-5*x*(x - 17)*(x - 2)
Let w = 52831/90 - 587. Let c(p) be the third derivative of 1/180*p**6 + 1/945*p**7 + 1/108*p**4 + 0*p**3 + w*p**5 + 4*p**2 + 0*p + 0. Factor c(s).
2*s*(s + 1)**3/9
Let r = -5671/12 - -1901/4. Solve -r + 8/3*x - 2/3*x**2 = 0.
2
Let u(v) be the third derivative of -6*v**7/175 - 2*v**6/15 - 13*v**5/75 - v**4/15 - 34*v**2 - 1. Let u(b) = 0. What is b?
-1, -2/9, 0
Let l(r) be the first derivative of 1/6*r**2 + 1/18*r**3 + 0*r - 1/24*r**4 + 29. Suppose l(y) = 0. Calculate y.
-1, 0, 2
Solve -36*g**2 - 5*g**3 + 28*g**2 + 2*g - 5*g**3 = 0.
-1, 0, 1/5
Let x(c) be the second derivative of 0 + 0*c**4 + 0*c**2 + 9*c + 2/9*c**3 - 1/90*c**6 - 1/20*c**5. Determine k so that x(k) = 0.
-2, 0, 1
Let g(z) be the third derivative of 0*z + 1/21*z**7 + 0*z**3 + 0*z**4 - 5/1008*z**8 + 2/9*z**5 - 1/6*z**6 + 0 - 15*z**2. Let g(c) = 0. What is c?
0, 2
Let n(y) = 3*y**4 + 37*y**3 + 29*y**2 + 10. Let b(s) = -3*s**4 - 38*s**3 - 31*s**2 - 8. Let a(r) = -5*b(r) - 4*n(r). Factor a(v).
3*v**2*(v + 1)*(v + 13)
Factor -12/17*y - 2/17*y**2 - 10/17.
-2*(y + 1)*(y + 5)/17
Let n(q) = 3*q**4 - 129*q**3 - 120*q**2 + 129*q + 147. Let b(h) = -h**4 + 32*h**3 + 30*h**2 - 32*h - 37. Let t(s) = -15*b(s) - 4*n(s). Factor t(a).
3*(a - 1)*(a + 1)**2*(a + 11)
Suppose -4*o = -16, -9*o = j - 7*o - 8. Let u(q) be the first derivative of -8/5*q**3 + 1/10*q**6 + 6/25*q**5 + 8 + 0*q + j*q**2 - 3/5*q**4. Factor u(t).
3*t**2*(t - 2)*(t + 2)**2/5
Let t = 5879 + -29139/5. Let x(g) be the first derivative of -64/5*g**3 + 6 - 2/25*g**5 - 512/5*g + t*g**2 + 8/5*g**4. Determine i so that x(i) = 0.
4
Let o be 7/((3 - 4)/4). Let y be (o/(-49))/((-18)/(-21)). Factor -y*q + 1/3*q**2 + 1/3.
(q - 1)**2/3
Suppose 9/5*n**3 + 16/5*n**2 - 76/5*n + 16/5 = 0. Calculate n.
-4, 2/9, 2
Let -12*k**3 - 663*k**2 - 36 - 141*k - 7*k + 539*k**2 = 0. Calculate k.
-9, -1, -1/3
Suppose -5*p + 16 = -3*u, 323*p - u = 325*p - 13. Factor 0 + 0*r - 12*r**4 - 40/3*r**p + 0*r**2 - 8/3*r**3.
-4*r**3*(2*r + 1)*(5*r + 2)/3
Let r(u) be the first derivative of -u**6/1440 + u**5/160 + u**4/24 - 4*u**3 - 7. Let y(g) be the third derivative of r(g). Determine n, given that y(n) = 0.
-1, 4
Find w such that -64 + 320*w**2 - 24*w**5 + 20*w**3 + 176*w - 136*w**4 + 60*w**4 + 8*w**5 = 0.
-4, -2, -1, 1/4, 2
Let m(o) be the first derivative of 2*o**6/9 + o**5/3 - o**4/2 - 8*o**3/9 + o**2/3 + o + 115. Factor m(f).
(f - 1)*(f + 1)**3*(4*f - 3)/3
Let t(l) be the second derivative of 9*l + 1/7*l**3 + 0 + 1/14*l**4 + 1/7*l**2 + 1/70*l**5. Let t(p) = 0. Calculate p.
-1
Let l(g) be the third derivative of g**5/210 - g**4/7 + 12