derivative of 0 + 0*i**2 - 4/3*i**s - 11*i + 1/3*i**4. Solve n(t) = 0.
0, 2
Let k(y) = y**4 + y**3 - y. Let t be ((-18)/27)/((-2)/6). Let h(s) = 2*s**4 - 30*s**3 + 24*s**2 + 130*s - 128. Let u(i) = t*k(i) + h(i). Factor u(b).
4*(b - 4)**2*(b - 1)*(b + 2)
Let l(o) be the third derivative of -1/360*o**5 + 7/12*o**4 + 0 - 49*o**3 - 28*o**2 + 0*o. Factor l(m).
-(m - 42)**2/6
Let m(z) be the first derivative of 20*z**3/3 + 1810*z**2 + 163805*z + 1980. Let m(i) = 0. What is i?
-181/2
Let p be -3 + 11/(286/91) + (-2 - (-136)/48). Find j, given that -128*j**3 + p*j**4 + 442368 + 4608*j**2 - 73728*j = 0.
24
Factor -35*w + 76 + 198*w**2 - 183*w**2 - w**3 + 107*w.
-(w - 19)*(w + 2)**2
Let f be ((-200718)/(-3068) - 66)*(-8)/30. Let -114/13*j**4 + 303750/13 - f*j**5 - 180*j**3 - 20250/13*j - 18900/13*j**2 = 0. Calculate j.
-15, 3
Let x be (-2)/13 - (-925684)/884. Let m = -1045 + x. Find d such that -2/17*d**m + 8/17*d + 0 = 0.
0, 4
Suppose 2/11*m**4 + 0*m - 26/11*m**3 + 0 - 28/11*m**2 = 0. What is m?
-1, 0, 14
Let t(a) = 2*a**2 + 107*a + 210. Let j be t(-2). Suppose -2*y + 8 = 2*y. Factor 6*o**3 - 8*o**3 + j*o**3 - 5*o**y + 3*o**2.
2*o**2*(o - 1)
Find r, given that 777 - 777 + 47*r**2 - 5*r**3 + 185*r**2 + 3*r**3 - 678*r = 0.
0, 3, 113
Let w(p) be the third derivative of 1/6*p**3 + 0*p - 29/12*p**4 + 42*p**2 + 0 + 841/60*p**5. Suppose w(o) = 0. Calculate o.
1/29
Let a(q) = -q**3 - q - 3. Let d be -9*2/(-12)*-2. Let h be a(d). Factor u**4 - u**2 + 27 - h.
u**2*(u - 1)*(u + 1)
Let u(l) be the third derivative of -l**8/336 - l**7/210 - 810*l**2. Determine i, given that u(i) = 0.
-1, 0
Let o = 4938 + -49379/10. Let z(b) be the third derivative of 7/60*b**4 - 6*b**2 + 1/15*b**3 + o*b**5 + 0 + 0*b + 3/100*b**6. Factor z(j).
2*(j + 1)*(3*j + 1)**2/5
Let v(a) be the third derivative of 11*a**7/70 + 5*a**6/9 - 19*a**5/36 - 25*a**4/9 - 2*a**3/9 + 13*a**2 - 53*a. Solve v(s) = 0 for s.
-2, -1, -2/99, 1
Let l = 149115/14 + -10651. Let s(d) be the third derivative of -d**4 - 5*d**2 + 0*d**3 + 0 + 1/5*d**5 + 3/20*d**6 - l*d**7 + 1/112*d**8 + 0*d. Factor s(q).
3*q*(q - 2)**3*(q + 1)
Suppose -3*c = -f + 23, -1005*f + 1003*f + 61 = 9*c. Solve 10/9*s**2 - f*s + 92/9 = 0 for s.
2/5, 23
Let p = -35 + 47. Suppose 424 - 119 = 61*l. Factor 6*w**2 - 15/2*w**4 - 9*w**3 - 3/2*w**l + p*w + 0.
-3*w*(w - 1)*(w + 2)**3/2
Suppose 12*s - 17*s + 2*z - 328 = 0, -s - 65 = -z. Let g be (36/s)/(14/(-77)). Factor -15/2*f - 3 + 3/4*f**2 + 15/8*f**g.
3*(f - 2)*(f + 2)*(5*f + 2)/8
Let l(k) be the second derivative of 0*k**4 - 1/10*k**5 + 0*k**3 + 0 - 1/60*k**6 + 9*k + 25/2*k**2. Let n(m) be the first derivative of l(m). Factor n(i).
-2*i**2*(i + 3)
Let j(k) = 15*k**2 + 9245*k - 60. Let l(r) = 5*r**2 + 3089*r - 18. Let t(d) = -3*j(d) + 10*l(d). Determine n, given that t(n) = 0.
-631, 0
Let l(i) = 7*i**3 - i**2 + 32*i + 1. Let u(j) = -65*j**2 + 40*j - 35*j + j**3 + 65*j**2. Let d(t) = 6*l(t) - 39*u(t). Factor d(q).
3*(q - 2)*(q - 1)*(q + 1)
Suppose 2*l + 22 = 10*h - 14*h, -4*l - 34 = 3*h. Let r be 408/70 - ((-73)/l - 11). Factor -12*n**2 + 48/5*n**3 - 14/5*n**4 - 6/5 + r*n.
-2*(n - 1)**3*(7*n - 3)/5
Let a(u) be the first derivative of -u**4 - 1192*u**3/3 + 598*u**2 + 10692. Find l such that a(l) = 0.
-299, 0, 1
Suppose 2*t - 10 = 5*f, -2*t + 5 = -t + 5*f. Suppose -t*h = 9*h - 182. Factor h + 21*n + 13 - 5*n**2 + 9 + 9*n.
-5*(n - 7)*(n + 1)
Factor 3/2*h**4 - 282*h**3 + 26790*h + 27075/2 + 12969*h**2.
3*(h - 95)**2*(h + 1)**2/2
Let l = -218912 - -875651/4. Factor l*f**3 + 2025/4*f + 135/4*f**2 + 10125/4.
3*(f + 15)**3/4
Let n(t) be the second derivative of t**6/6 - 2*t**5 + 15*t**4/4 + 95*t**3/3 - 100*t**2 + 395*t. Suppose n(m) = 0. Calculate m.
-2, 1, 4, 5
Let o(r) = -21*r**3 - 90*r**2 + 861*r - 728. Let a(z) = 11*z**3 + 45*z**2 - 431*z + 363. Let s(g) = -11*a(g) - 6*o(g). Factor s(j).
5*(j - 5)*(j - 1)*(j + 15)
Factor -171/8*n**2 - 87/8*n - 81/8*n**3 + 0 + 3/8*n**4.
3*n*(n - 29)*(n + 1)**2/8
Suppose -128*a - 759 = -381*a. Let i(j) be the second derivative of -32*j - 1/2*j**2 + 1/120*j**5 + 1/36*j**4 + 0 - 5/36*j**a. Let i(y) = 0. What is y?
-3, -1, 2
Let v(s) be the third derivative of s**6/30 + 106*s**5/15 - 44*s**2 + 5*s. Suppose v(y) = 0. What is y?
-106, 0
Let n(b) be the first derivative of b**4/2 - 46*b**3/3 + 22*b**2 - 8214. Let n(t) = 0. Calculate t.
0, 1, 22
Suppose -280 = -11*f + 19*f. Let l(m) = -95*m**2 + 1210*m - 1115. Let s(p) = -8*p**2 + 101*p - 93. Let x(n) = f*s(n) + 3*l(n). Factor x(v).
-5*(v - 18)*(v - 1)
Let x = -74 + 91. Suppose -x*h + 8*h + 468 = 0. Factor -16 - h*g - 8*g**3 + 143*g**2 - 187*g**2 - 5 + 5.
-4*(g + 1)*(g + 4)*(2*g + 1)
Let j(a) = a - 3. Let y be j(5). Let w be (16/(-16))/((-2)/6). Determine g, given that -2*g**3 - g**3 - 3*g**2 - 3*g**4 + w*g**2 - g**5 - g**y = 0.
-1, 0
Solve 246/7*o**2 + 3/7*o**3 + 0 - 72*o = 0.
-84, 0, 2
Let i(z) be the first derivative of z**6/3 + 28*z**5/5 + 21*z**4 + 32*z**3/3 - 43*z**2 - 60*z + 2195. Solve i(a) = 0 for a.
-10, -3, -1, 1
Factor 1/7*w**2 + 12 + 25/7*w.
(w + 4)*(w + 21)/7
Factor 3/4*x**3 + 303/4*x - 75/2 - 39*x**2.
3*(x - 50)*(x - 1)**2/4
Let c be 134/120 - (-490)/(-441). Let q(v) be the third derivative of c*v**5 + 0*v**3 + 0 + 4*v**2 - 1/72*v**4 + 0*v. Factor q(m).
m*(m - 1)/3
Factor 2/11*g**3 + 50/11*g**2 + 86/11*g - 138/11.
2*(g - 1)*(g + 3)*(g + 23)/11
Let x(m) be the first derivative of 0*m + 1/12*m**4 + 192 + 2*m**2 - 8/9*m**3. Suppose x(y) = 0. Calculate y.
0, 2, 6
Suppose -10*o + 11 = -9. Let f(m) = -2 + m + 3 - o. Let v(x) = x**3 + 3*x**2 - 10*x + 6. Let i(p) = 18*f(p) + 2*v(p). Factor i(y).
2*(y - 1)*(y + 1)*(y + 3)
Suppose 0 = 396*v + 3649 - 4837. Find l, given that 0 - 4/3*l**2 - 10/9*l - 2/9*l**v = 0.
-5, -1, 0
Let i(w) be the first derivative of -20/3*w - 11/3*w**3 + 200 + 41/3*w**2 - 65/24*w**4 + 7/30*w**5. Determine t, given that i(t) = 0.
-2, 2/7, 1, 10
Let o(g) be the third derivative of 0*g + 0*g**3 + 2/3*g**4 - 3 - 2/15*g**5 + 1/120*g**6 - 13*g**2. Solve o(j) = 0.
0, 4
Factor 611/4*d + 231/4*d**2 + 165/2 - 51/4*d**3 - 1/4*d**4.
-(d - 6)*(d + 1)**2*(d + 55)/4
Suppose 0 = -21*s + 46*s - 625. Solve -26*w**2 + s*w - 6*w**3 + 14*w**2 - 2*w + w + 3*w**4 = 0 for w.
-2, 0, 2
Solve -12*v**2 - 13*v**3 - 14*v**3 + 44*v - 48 - 12*v**3 + 11*v**3 + 29*v**3 = 0.
2, 4, 6
Suppose -2*g + 11538 = 3*n + 11574, -4*n = 3*g + 54. Factor n - 2/3*d**2 + 12*d.
-2*d*(d - 18)/3
Suppose -32*w - 851 = 62541. Let i = w - -1984. Factor -4*g**2 - 6*g - 2/3*g**i - 8/3.
-2*(g + 1)**2*(g + 4)/3
Determine x so that 83/4*x**3 + 131/2*x**2 + 0 - 1/4*x**4 - 86*x = 0.
-4, 0, 1, 86
Let i(f) be the second derivative of 1/4*f**4 + 0*f**2 + 19*f + 0 - 6*f**3. Factor i(k).
3*k*(k - 12)
Let g(s) be the third derivative of -s**7/1260 - 31*s**6/720 - 49*s**5/60 - 4*s**4 + 72*s**3 + 6574*s**2. Factor g(c).
-(c - 2)*(c + 9)*(c + 12)**2/6
Let y(o) be the second derivative of o**4/16 + 5*o**3 + 1053*o**2/8 + 2441*o. Suppose y(v) = 0. Calculate v.
-27, -13
Let c be (-2)/(3 - 525/165). Let s(b) be the first derivative of -4*b + 4*b**4 - 4/5*b**5 + 8*b**2 - c - 8*b**3. Factor s(j).
-4*(j - 1)**4
Let b = 61717/2 - 30858. Factor 1/4*z**3 + 0 + b*z + 3/4*z**2.
z*(z + 1)*(z + 2)/4
Let z be 4 + -13 + ((-616)/7)/(-8). Let n(r) be the first derivative of 1/10*r**z + 0*r - 8 - 2/15*r**3 + 1/20*r**4. Factor n(v).
v*(v - 1)**2/5
Let o be ((-2 - (-297)/(-22)) + 555/37)*6/(-1). Solve -3*g**2 + o*g**4 + 0*g + 3/2*g**5 + 0 - 3/2*g**3 = 0.
-2, -1, 0, 1
Let m(g) = 34*g**2 + 671*g - 51842. Let f(h) = -15*h**2 - 334*h + 25921. Let z(w) = 9*f(w) + 4*m(w). Factor z(x).
(x - 161)**2
Let n(d) = 7*d**3 + 18*d**2 + 53*d + 37. Let q(g) = 22*g + 8*g**3 + 38 + 18*g**2 + 83*g - 51*g. Let y(c) = 6*n(c) - 5*q(c). What is r in y(r) = 0?
-4, -1
Let f(g) be the third derivative of g**7/630 - 9*g**5/20 - 49*g**4/9 - 88*g**3/3 + 415*g**2 - 2. Factor f(j).
(j - 11)*(j + 3)*(j + 4)**2/3
Let p(u) = 7*u**3 + 2101*u**2 + 276670*u + 12. Let m(o) = -20*o**3 - 6304*o**2 - 830012*o - 32. Let x(f) = -3*m(f) - 8*p(f). Factor x(a).
4*a*(a + 263)**2
Factor 3*n**2 - 149 + 904 - 94*n - 311*n + 433.
3*(n - 132)*(n - 3)
Let u(s) be the first derivative of s**6/240 + s**5/10 - 89*s**3/3 - 48. Let w(g) be the third derivative of u(g). Factor w(x).
3*x*(x + 8)/2
Factor 123/2 + 1/2*l**2 - 22*l.
(l - 41)*(l - 3)