ivative of 2*u**7/525 + 73*u**6/75 + 5473*u**5/75 + 1752*u**4/5 + 3456*u**3/5 - 3269*u**2. Factor x(o).
4*(o + 1)**2*(o + 72)**2/5
Let t(h) be the first derivative of -h**4/4 + 8*h**3/3 - 5*h**2 + 84. Let j(n) = 8*n**2 - 8*n. Let u(l) = 5*j(l) - 4*t(l). Solve u(i) = 0 for i.
-2, 0
Factor -740/3*n**2 + 152/3 + 4684*n.
-4*(n - 19)*(185*n + 2)/3
Suppose 12*j - 6*j - 5184 = 0. Factor 89*k**2 + 2*k**3 - 66*k**2 + j*k - 3456 - 95*k**2.
2*(k - 12)**3
Solve 125/2*j + 1/2*j**4 - 5/2*j**3 - 25/2*j**2 + 0 = 0 for j.
-5, 0, 5
Let y(r) be the first derivative of 14*r**5/5 - 215*r**4/2 + 688*r**3/3 + 116*r**2 - 379. Determine n so that y(n) = 0.
-2/7, 0, 2, 29
Factor -1/6*w**2 + 0 + 148/3*w.
-w*(w - 296)/6
Let z(a) be the second derivative of -a**5/5 - 35*a**4/3 - 64*a**3/3 + 136*a**2 + 13*a - 10. Factor z(q).
-4*(q - 1)*(q + 2)*(q + 34)
Let r(b) = b**2 + 6*b - 9. Let d be r(3). Find f, given that 24 - 1505*f + 2994*f + 3*f**3 - d*f**2 - 1501*f + 3*f**4 = 0.
-2, 1, 2
Let c(f) = f**3 - 13*f**2 + 17*f + 49. Let a be c(11). Let g be 1 - (-9)/90*a. Factor 2/5*y**3 - 2/5*y - g + 2/5*y**2.
2*(y - 1)*(y + 1)**2/5
Let s = 196 - 194. Let a(f) be the first derivative of 8*f - f**4 - 8/3*f**3 + 16 + s*f**2. Determine q, given that a(q) = 0.
-2, -1, 1
Let q(s) be the second derivative of -s**5/25 + 37*s**4/5 + 224*s**3/15 - 3*s - 153. Factor q(k).
-4*k*(k - 112)*(k + 1)/5
Let s be ((-8782)/96602)/(((-6)/(-44))/(-3)). Factor 3/4*l**3 + 5/4*l**4 + 0 + 1/4*l**5 - l - 5/4*l**s.
l*(l - 1)*(l + 1)**2*(l + 4)/4
Let 6/5*n**3 + 54/5*n - 117/5*n**2 + 57/5 = 0. What is n?
-1/2, 1, 19
Let u = 2/5925 + 1181/11850. Let a(x) be the third derivative of x**3 + 1/40*x**6 + 0 - 20*x**2 + 0*x - 1/8*x**4 - u*x**5. Let a(m) = 0. Calculate m.
-1, 1, 2
Let c = 31567/24661 + 20/3523. Let 3/7*z**2 - c*z + 5/7 + 1/7*z**3 = 0. What is z?
-5, 1
Let x(s) be the second derivative of 1/4*s**4 + 1/60*s**6 - 1/5*s**5 + 10/3*s**3 + 108*s + 25/4*s**2 - 2. Factor x(v).
(v - 5)**2*(v + 1)**2/2
Let r(o) be the first derivative of 54*o**6 - 936*o**5/5 - 2051*o**4/4 + 791*o**3 + 141*o**2 + 8*o - 4817. Suppose r(z) = 0. What is z?
-2, -1/18, 1, 4
Find o, given that -2/7*o**4 - 24*o**2 + 0 - 32/7*o**3 - 288/7*o = 0.
-6, -4, 0
Let t = -198563/30 - -6629. Let b = t + -47/6. Factor 3*c + b + 3/5*c**2.
3*(c + 1)*(c + 4)/5
Suppose 54 = 3*i - 12. Let x = i - 18. Let -b**5 - 594*b**3 - b**x + 594*b**3 = 0. What is b?
-1, 0
Let d(m) = -m**3 + 10*m**2 + 13*m - 20. Let s be d(11). Suppose -s*q - 2 = 2*h, 0*h + h = -2*q - 4. Let 14 - 8 - 6 + 48*y**h + 20*y**3 + 16*y = 0. Calculate y.
-2, -2/5, 0
Let d(l) be the first derivative of -7 + 11/6*l**3 + 3/2*l + 23/8*l**2 + 5/16*l**4. Factor d(u).
(u + 1)*(u + 3)*(5*u + 2)/4
Suppose -4*d + 2*z = 52, 0 = -5*d - 5*z - 20 - 30. Let p be ((-16)/64)/(d/16). Let p*w**4 + 1/3*w**3 - 2/3*w**2 + 0*w + 0 = 0. Calculate w.
-2, 0, 1
Let a(m) be the third derivative of -m**7/420 + 19*m**6/240 - m**5 + 21*m**4/4 - 1183*m**2. Solve a(f) = 0.
0, 6, 7
Let r(k) = -k**2 - 31*k + 26. Let b be r(-28). Let m = b - 108. Factor -u**2 + 2*u**2 - m*u**2 + 3*u**2 + 16*u.
2*u*(u + 8)
Let m(k) be the first derivative of -k**3/21 - 5*k**2/14 - 1636. Let m(z) = 0. Calculate z.
-5, 0
Let l(y) = -y**3 - 6*y**2 + 6*y - 12. Let f be l(-7). Let w be -3*(-8 - f)/54. Factor -1/2*a**2 + 0 - w*a**3 - 1/3*a.
-a*(a + 1)*(a + 2)/6
Let q(n) be the first derivative of -2*n**3/15 + 104*n**2 - 27040*n - 1156. Factor q(d).
-2*(d - 260)**2/5
Let m(j) be the first derivative of 3*j**5/35 - 18*j**4/7 + 9*j**3 + 1101. Factor m(g).
3*g**2*(g - 21)*(g - 3)/7
Suppose 5*j = -2*g + 5, 5*g - 8*j + 3*j = -5. Suppose 9*t = 5*k + 7*t - 23, 5*k + t - 11 = 0. Factor 3/2*h**5 + g + 15/2*h**3 + 6*h**4 + 0*h + k*h**2.
3*h**2*(h + 1)**2*(h + 2)/2
Let g(x) be the third derivative of -1/420*x**7 - 11/40*x**5 - 16/3*x**3 + 0 - 56*x**2 + 0*x + 7/120*x**6 - 7/3*x**4. Suppose g(y) = 0. What is y?
-1, 8
Let g(a) be the third derivative of -a**7/630 + a**6/30 - 3*a**5/10 + 3*a**4/2 - 9*a**3/2 - 176*a**2. Factor g(c).
-(c - 3)**4/3
Let c = 4/767 - -18380/5369. Let w = -70 - -72. Factor -72/7 - c*i - 2/7*i**w.
-2*(i + 6)**2/7
Let s be (4/180)/((-2)/(-74)) + 237/(-395). Let c(n) be the first derivative of 2/45*n**5 - 4/9*n**2 + 2/9*n**4 - 5 + s*n**3 - 8/9*n. Factor c(q).
2*(q - 1)*(q + 1)*(q + 2)**2/9
Let l(b) be the third derivative of b**8/140 - 88*b**7/525 - 19*b**6/25 - 28*b**5/25 - 17*b**4/30 + 16*b**2 + 62*b. Solve l(m) = 0 for m.
-1, -1/3, 0, 17
Let i be (24/(-16))/(81/42 + -2). Suppose w + 8 = 2*s + i, 4*w = 2*s + 28. Determine v, given that 45*v**3 + 163*v**2 + w*v**5 - 163*v**2 - 30*v**4 = 0.
0, 3
Let u(g) = 3*g**3 + 170*g**2 + 6684*g - 46452. Let o(r) = 10*r**3 + 510*r**2 + 20050*r - 139350. Let j(q) = 2*o(q) - 7*u(q). Factor j(s).
-(s - 6)*(s + 88)**2
Let d(x) = x**3 - 6*x**2 + 5*x + 6. Let k be -4 + 2*(1 + (-2)/1). Let s(t) = -5*t**3 + 25*t**2 - 20*t - 25. Let j(m) = k*s(m) - 25*d(m). Factor j(l).
5*l*(l - 1)*(l + 1)
Factor -7678802837 - 21380*t**3 - 14498662500*t - 8919158269 - 5*t**4 - 30480750*t**2 + 2129757981.
-5*(t + 1)*(t + 1425)**3
Let v(u) be the second derivative of 29*u**6/10 + 2529*u**5/20 - 1827*u**4/2 + 1786*u**3 + 396*u**2 + 887*u. Let v(z) = 0. Calculate z.
-33, -2/29, 2
Factor 32 - 28/5*w + 1/5*w**2.
(w - 20)*(w - 8)/5
Factor 2401/3 + 1/3*w**2 - 98/3*w.
(w - 49)**2/3
Let r be 1*20 - ((-12)/(-3) + -6). Factor -3*u**3 - 40*u - 36*u - 10*u**2 + 30*u**2 - 103*u**2 + r*u.
-u*(u + 27)*(3*u + 2)
Let u(f) = -10*f**2 - 25*f + 0*f - 21 - 24. Let z(m) = 1006 - 962 + 9*m**2 - m + 27*m. Let d(v) = -4*u(v) - 5*z(v). Factor d(o).
-5*(o + 2)*(o + 4)
Let s(z) be the first derivative of -5*z**6/6 + 13*z**5 - 205*z**4/4 + 235*z**3/3 - 45*z**2 + 168. Let s(i) = 0. What is i?
0, 1, 2, 9
Let a(k) be the second derivative of -k**7/84 - 5*k**6/12 - 131*k**5/40 + 481*k**4/24 + 169*k**3 + 86*k - 14. Determine d so that a(d) = 0.
-13, -3, 0, 4
Let x(o) be the second derivative of 1/70*o**5 + 0 - 1/21*o**3 + 0*o**2 - 164*o + 0*o**4. What is h in x(h) = 0?
-1, 0, 1
Factor -321*t - 3 + 320*t**2 + 54412*t**3 - 54411*t**3 + 3.
t*(t - 1)*(t + 321)
Let r(u) be the first derivative of -u**8/4200 - u**7/420 - 2*u**6/225 - u**5/75 + 134*u**3/3 - 105. Let i(z) be the third derivative of r(z). Factor i(d).
-2*d*(d + 1)*(d + 2)**2/5
Let a = -2387/2 + 1111. Let p = a + 1159/14. Determine n so that -p*n**3 + 2*n**2 + 10/7 - 22/7*n = 0.
1, 5
Let g be 28/11 - 48/88. Factor b**g + 121 + 185*b - 491*b + 168*b + 160*b.
(b + 11)**2
Let f = -84543 + 84546. Determine y so that y**2 - 6/5*y - 1/10*y**f - 36/5 = 0.
-2, 6
Let b(o) be the second derivative of -3/4*o**4 - 65/6*o**3 + 33*o - 169/6*o**2 - 1/60*o**5 + 1. Factor b(y).
-(y + 1)*(y + 13)**2/3
Let d = 3151 - 40961/13. Find f such that -8/13*f**3 - d*f - 10/13*f**2 + 0 = 0.
-1, -1/4, 0
Let u = 171 + -146. What is w in -u*w**2 + 5*w - 51*w**2 - 10*w + 7*w = 0?
0, 1/38
Let x(i) be the second derivative of 0*i**2 - 5/12*i**4 - 71*i - 95/6*i**3 + 0. Suppose x(p) = 0. What is p?
-19, 0
Let m(z) be the third derivative of -11/48*z**4 + 0 - 1/240*z**5 + 30*z - 2*z**2 - 7/8*z**3. Find u, given that m(u) = 0.
-21, -1
Factor 0 - 1/5*s**4 - 13/5*s**2 - 6/5*s - 8/5*s**3.
-s*(s + 1)**2*(s + 6)/5
Let u(g) = -6*g**2 - 44*g + 134. Let h(n) = 4*n**2 + 42*n - 133. Let m(c) = -4*h(c) - 3*u(c). Factor m(k).
2*(k - 13)*(k - 5)
Suppose -13*s - 32 = -5*s. Let l be s + (-25)/((-75)/18). Solve -8/5 + 2/5*b**3 - 2/5*b**5 + 14/5*b**l - 6/5*b**4 + 0*b = 0 for b.
-2, -1, 1
Let c = -61 + 65. Let u**4 + 3*u**4 + c*u**2 - 199*u**3 + 207*u**3 = 0. Calculate u.
-1, 0
Let j(q) be the second derivative of -13*q + 20/3*q**4 + 1/6*q**6 - 3 + 2*q**5 + 0*q**3 + 0*q**2. Factor j(l).
5*l**2*(l + 4)**2
Let s(o) be the second derivative of o**6/135 + 346*o**5/45 + 60203*o**4/27 + 79580*o**3/9 + 13225*o**2 + 994*o. Factor s(f).
2*(f + 1)**2*(f + 345)**2/9
Factor -31*n**3 - n**4 + 117*n**2 - 156 - 36*n**3 + 37*n**3 - 12*n - 2*n**4.
-3*(n - 2)**2*(n + 1)*(n + 13)
Let o be 10/(-15) + 76/6. Determine s so that -3*s**2 - 22 + 3*s - 15*s**3 + 25 + o*s**3 = 0.
-1, 1
Let n(r) be the third derivative of 7*r**5/12 + 25*r**4/2 + 320*r**3/3 - 2*r**2 - 1970. Let n(d) = 0. What is d?
-32/7, -4
Determine t so that -12/5*t + 0 - 266/5*t**2 + 18*t**3 = 0.
-2/45, 0, 3
Let n(v) 