he first derivative of -f**3/9 + 35*f**2/6 + 74*f/3 - 2569. Suppose z(n) = 0. Calculate n.
-2, 37
Let r be 0/(-7 - -10) - -5. Suppose -19 = -2*f - r*x, 32 - 17 = 3*f + 3*x. Factor 0 + 60/11*m**3 + 16/11*m + 50/11*m**4 - 72/11*m**f.
2*m*(m + 2)*(5*m - 2)**2/11
Let x(k) be the first derivative of -k**8/840 + k**7/210 + k**6/180 - k**5/30 - 122*k**3/3 + 56. Let b(v) be the third derivative of x(v). Factor b(s).
-2*s*(s - 2)*(s - 1)*(s + 1)
Find i such that 16*i**2 + 128/5*i - 2/5*i**4 + 4/5*i**3 + 0 = 0.
-4, -2, 0, 8
Suppose -27*x + 24*x + 6 = 0. Factor 11*o**x + 9 - 45*o + 19*o**2 + 33*o**3 - 38*o**3 + 11.
-5*(o - 4)*(o - 1)**2
Let c(a) be the second derivative of -a**4/12 + 94*a**3/3 - 4418*a**2 + 658*a. Let c(w) = 0. Calculate w.
94
Factor -1188 - 1484*p + 3854*p - 1790*p + 5*p**2 + 8.
5*(p - 2)*(p + 118)
Let y be (6/15)/(119/(-40) - -3). Let k(f) = -f**2 + 15*f + 18. Let b be k(y). Factor 24*s**3 - 4*s**b + 2*s + 36*s**2 - 7*s**5 + 14*s + 8*s**5 + 8*s**4.
s*(s + 2)**4
Let j be (-2 + 0)/((-30)/9750). Let a = j + -647. Let d**2 + 0*d - 1/2*d**a + 0 = 0. Calculate d.
0, 2
Let d(a) = -10*a + 227. Let x be d(21). Let g = x + -13. Factor -8716/5*q**2 - 560*q**g + 632*q - 80 + 1874*q**3 + 50*q**5.
2*(q - 5)**2*(5*q - 2)**3/5
Suppose i = 10*i - 162. Let r(m) = 2*m**2 - 5*m - 9. Let y be r(4). Let 3*p**3 - 42*p + 18*p**2 - 3*p**4 + i*p - y*p**3 + 9 = 0. What is p?
-3, 1
Let p = -1/29776 - -714635/327536. Let 14/11*o + p + 2/11*o**2 = 0. What is o?
-4, -3
Let o be (-2 + 28/6)*(-27)/(-36). Solve -j**4 + 4*j**2 + 134*j**3 + 0*j**2 - 135*j**3 + 2*j**o = 0.
-3, 0, 2
Let p(t) = t**2 + 13*t + 10. Let i be p(-20). Factor -25*r**2 - 112*r - 5*r**2 + i - 60*r + 17*r.
-5*(r + 6)*(6*r - 5)
Let i = 6819 + -6813. Let g(y) be the second derivative of -23*y + 0*y**2 - 3/70*y**5 - 1/14*y**4 + 1/35*y**i + 1/7*y**3 + 0. What is n in g(n) = 0?
-1, 0, 1
Let z(b) be the first derivative of -b**7/21 + b**6/15 + b**5/10 - b**4/6 - 125*b - 92. Let j(n) be the first derivative of z(n). Factor j(r).
-2*r**2*(r - 1)**2*(r + 1)
Let m(i) be the second derivative of -4*i - 2/3*i**4 - 1/3*i**3 - 4/15*i**6 + 7 - 1/21*i**7 + 0*i**2 - 3/5*i**5. Solve m(x) = 0.
-1, 0
Let o(w) be the third derivative of 0 - 1/32*w**4 + 3/80*w**5 + 61*w**2 + 0*w - 3/160*w**6 + 1/280*w**7 + 0*w**3. Factor o(q).
3*q*(q - 1)**3/4
Factor 309*i + 210*i + 2*i**2 + 504*i - 51*i.
2*i*(i + 486)
Suppose 0 = 29*b - 19*b - 90. Let w be (-870)/(-270) + (-2)/b. Suppose 0 - 7/5*d**2 - 2/5*d + 4/5*d**4 + d**w = 0. What is d?
-2, -1/4, 0, 1
Let p(x) be the second derivative of -x**4/4 - 35*x**3/2 + 54*x**2 - 872*x. Determine c, given that p(c) = 0.
-36, 1
Let q(v) = v**3 + 6*v**2 + 6*v + 7. Let n be q(-4). Let w be -6*(55/n + -4). Factor -1/4*g**3 + 3/2*g**w - 1/4*g**4 + g - 2.
-(g - 2)*(g - 1)*(g + 2)**2/4
Find t such that 0 + 9/11*t - 1/11*t**3 + 0*t**2 = 0.
-3, 0, 3
Suppose 0 = 5*z + 4*p - 6, -51*z + 55*z + 5*p = 12. Let f be (((-20)/(-5))/(-20))/(z/30). Factor f*n**2 + 3/5*n**4 + 2/5 + 9/5*n + 11/5*n**3.
(n + 1)**3*(3*n + 2)/5
Factor 48/7*x**2 + 0 - 48/7*x - 3/7*x**4 + 3/7*x**3.
-3*x*(x - 4)*(x - 1)*(x + 4)/7
Let k = -108 - -121. Let z(v) be the first derivative of 2/3*v**2 - 2/27*v**3 - 2*v + k. Factor z(h).
-2*(h - 3)**2/9
Let j(k) be the second derivative of k**6/240 - 13*k**5/60 - 55*k**4/48 - 7*k**3/3 - 20*k**2 + k + 75. Let q(u) be the first derivative of j(u). Factor q(s).
(s - 28)*(s + 1)**2/2
Let p(r) be the second derivative of 2*r**6/15 - r**5/5 - r**4 + 2*r**3/3 + 4*r**2 - 63*r + 1. Solve p(h) = 0 for h.
-1, 1, 2
Let y = 25730/429 + -1964/33. Factor 0*s**2 - 2/13*s**3 + y*s - 4/13.
-2*(s - 1)**2*(s + 2)/13
Let w = -305 + 309. Factor 3*m**w - 12*m**2 + 19*m**2 - 2*m**3 + 8*m**3 - 16*m**2.
3*m**2*(m - 1)*(m + 3)
Let z(m) = -3*m + 95. Let k be z(27). Suppose -53*q**2 + 9*q**2 + 21*q**2 + k*q**2 - 2*q**3 + 3*q**4 + 4 = 0. Calculate q.
-1, 2/3, 2
Suppose -641600/3*p + 20/3*p**4 - 6425/3*p**3 + 173335*p**2 + 128000/3 = 0. Calculate p.
1/4, 1, 160
Let p(s) = -2*s**3 - 3*s**2 - 1. Let d be p(-2). Suppose 0 = -6*a + 29 + 37. Factor d*i + 22*i**3 - 10*i**3 - a*i**3 - 4*i.
i*(i - 1)*(i + 1)
Let g(j) be the third derivative of -j**6/45 - j**5/10 - j**4/18 - j**2 - 2*j + 3522. Determine m so that g(m) = 0.
-2, -1/4, 0
Let h(u) be the third derivative of -u**5/15 + 17*u**4/6 + 40*u**3 - 1908*u**2. Determine s so that h(s) = 0.
-3, 20
Let b(m) be the second derivative of m**6/180 + 3*m**5/10 + 11*m**4/4 - 63*m**3 + 1323*m**2/4 + 6655*m. Factor b(a).
(a - 3)**2*(a + 21)**2/6
Find d such that -4/5*d**2 - 1244/5*d - 248 = 0.
-310, -1
Let u = -98928859/248815 + 3/49763. Let c = 398 + u. Let -c*a**4 + 4/15*a**5 - 2/15 + 0*a + 8/15*a**2 - 4/15*a**3 = 0. What is a?
-1, -1/2, 1
Let h(x) be the second derivative of x**6/660 + 17*x**5/165 + 289*x**4/132 + 14*x**2 - 31*x. Let v(o) be the first derivative of h(o). Factor v(q).
2*q*(q + 17)**2/11
Solve 194904 + 39352 + 124*v**3 - 604*v**3 + 56632*v**2 - 3076*v**4 + 232320*v + 3077*v**4 = 0.
-2, 242
Let x(c) be the second derivative of 15*c**2 - 26*c - 1/4*c**3 + 0 - 1/8*c**4. Factor x(i).
-3*(i - 4)*(i + 5)/2
Let x(j) = -4*j**2 - 18*j - 15. Let w(l) = l**2 + 3*l + 1. Let f = -307 - -309. Let m(z) = f*x(z) + 10*w(z). Let m(t) = 0. What is t?
-2, 5
Suppose 5*b - 4*k - 52 = 0, -4645 = -k - 4658. Determine u, given that -12/5*u**3 + b - u**4 - 2/5*u - 9/5*u**2 = 0.
-1, -2/5, 0
Let s(i) be the second derivative of i**5/360 - i**4/36 + i**3/12 + 51*i**2/2 + 9*i - 1. Let c(k) be the first derivative of s(k). Factor c(q).
(q - 3)*(q - 1)/6
Factor 2739025*x - 1655*x**2 + 1/3*x**3 - 4533086375/3.
(x - 1655)**3/3
Suppose 2*o + 6 = x, -2*o - 4*x = -355 + 311. Factor 2 + 1/2*y**o + 5/2*y.
(y + 1)*(y + 4)/2
Let r be ((-9)/(-27))/(1/9). Factor -o**r - 75 - 8*o - o**2 - 2*o**2 + 87 + 2*o**3 + 2*o**2.
(o - 2)**2*(o + 3)
Let s be (-10)/(-2)*8/10*1. Factor 2*b**5 - 2 + 2*b - 3*b**4 + 0 - 129*b**2 + b**s - 4*b**3 + 133*b**2.
2*(b - 1)**3*(b + 1)**2
Determine h, given that 42*h - 1/3*h**2 + 127/3 = 0.
-1, 127
Let r(c) = -2*c**2 + 1928*c - 1934. Let k(s) = 6*s - 2. Let z(l) = -4*k(l) - 2*r(l). Factor z(n).
4*(n - 969)*(n - 1)
Factor 3*c**5 + 2*c**5 - 1875*c + 360*c**3 + 6250 - 151*c**3 + 26*c**3 - 90*c**4 - 1000*c**2 + 315*c**3.
5*(c - 5)**4*(c + 2)
Let s(b) be the second derivative of 3*b**5/20 - 5*b**4/2 + 23*b**3/2 - 21*b**2 - 947*b. Factor s(a).
3*(a - 7)*(a - 2)*(a - 1)
Let r be (1 + -1)*(9 + -12)/(-6). Let n be (-33 - -30)*(-2)/3. Factor -2/3*a**n + 2/3*a + r.
-2*a*(a - 1)/3
Let n(b) = -b**3 + 168*b**2 + 50*b + 20117. Let a be n(169). Factor -5*d**2 - a*d**3 - 3*d**4 - 3/2*d - 1/2*d**5 + 0.
-d*(d + 1)**3*(d + 3)/2
Let a = 3984 - 7963/2. Let i(t) be the third derivative of 0*t - 1/2*t**5 - 1/24*t**6 + 0 - 20/3*t**3 + 8*t**2 - a*t**4. Factor i(m).
-5*(m + 2)**3
Let i(f) be the first derivative of 8/9*f**3 + 4/3*f**4 + 0*f + 1/9*f**6 + 79 + 2/3*f**5 + 0*f**2. Determine r so that i(r) = 0.
-2, -1, 0
Let w(m) be the second derivative of -m**5/80 - 7*m**4/48 + 3*m**3/8 + 63*m**2/8 - 1813*m. Factor w(c).
-(c - 3)*(c + 3)*(c + 7)/4
Let k = 82143/5065 - 18/1013. Let k*w**3 + 24/5*w + 0 - 33/5*w**4 + 3/5*w**5 - 15*w**2 = 0. Calculate w.
0, 1, 8
Let l(t) be the third derivative of t**8/1260 - t**7/360 - 7*t**6/540 - t**5/120 + 19*t**3 + 88*t**2 - t. Let z(m) be the first derivative of l(m). Factor z(g).
g*(g - 3)*(g + 1)*(4*g + 1)/3
Let l(i) be the second derivative of i**7/168 - 3*i**6/10 + 7*i**5/20 + 41*i**4/8 - 29*i**3/24 - 105*i**2/4 - 10*i + 76. Solve l(c) = 0 for c.
-2, -1, 1, 3, 35
Suppose 6*f = 7*f - 5. Let w(q) = 11*q + 23*q - q + 9*q**2 + 12 - 12*q. Let c(s) = -4*s**2 - 10*s - 6. Let h(o) = f*c(o) + 2*w(o). Solve h(u) = 0 for u.
-3, -1
Let 276*y + 1/2*y**2 - 1665/2 = 0. Calculate y.
-555, 3
Let d = 216 - 208. Let k be (d/10)/((-22)/(-55)). Solve 0*a**3 + 4/3*a**4 - 2*a**5 + 0 + 0*a + 0*a**k = 0 for a.
0, 2/3
Let k be (-4)/(-8)*((17 - 6) + -7). Let v be (4/5)/(k/22). Factor -2/5*q**4 - 16/5*q**3 - v*q**2 - 48/5*q - 18/5.
-2*(q + 1)**2*(q + 3)**2/5
Let k(a) be the second derivative of 3/20*a**5 - 147*a + 0 + 2/5*a**6 - 1/6*a**4 + 1/6*a**7 + 0*a**2 + 0*a**3. Determine x, given that k(x) = 0.
-1, 0, 2/7
Let g(t) = -5*t - 11. Let u be g(-3). Factor -2 + 54*w**5 + 15*w - 13*w + 4*w**2 - 2*w**4 - u*w*