ctor p(d).
-3*(d - 1)*(d + 1)*(d + 4)
Let r(g) be the third derivative of 171475*g**6/8 + 5415*g**5/2 + 285*g**4/2 + 4*g**3 - 95*g**2. Solve r(o) = 0.
-2/95
Factor 1/4*k**4 + 31/2*k**2 - 10*k - 23/4*k**3 + 0.
k*(k - 20)*(k - 2)*(k - 1)/4
Let q = -12801 + 12803. Let v(f) be the second derivative of 0 + 16*f + 0*f**q - 1/24*f**4 - 1/4*f**3. Factor v(d).
-d*(d + 3)/2
Let l(c) be the second derivative of 7/6*c**4 - 1/3*c**3 - 6*c**2 + 8 + 1/10*c**5 - 1/15*c**6 - 5*c. Suppose l(n) = 0. Calculate n.
-2, -1, 1, 3
Let x(r) be the second derivative of -2*r**7/189 + 176*r**6/135 - 1837*r**5/45 - 530*r**4/3 + 1200*r**3 + 4201*r. What is k in x(k) = 0?
-4, 0, 2, 45
Let r = -514 - -516. Factor -4250 + 360*z + 2*z**2 - 4*z**2 - 2230 - 3*z**r.
-5*(z - 36)**2
Factor -473*n + 47*n**2 + 3195 - 38*n**2 - 6*n**2 - 2725*n.
3*(n - 1065)*(n - 1)
Let g(v) be the second derivative of -v**6/135 - v**5/18 + 73*v**4/54 - 127*v**3/27 + 20*v**2/3 + 6*v - 8. Solve g(m) = 0.
-12, 1, 5
Let o(f) be the second derivative of 0*f**3 - 2*f + 2 + 7/5*f**5 - 2/21*f**7 + 0*f**2 - 4/3*f**4 - 4/15*f**6. Factor o(i).
-4*i**2*(i - 1)**2*(i + 4)
Factor -3/2*t**2 + 3/2*t + 30.
-3*(t - 5)*(t + 4)/2
Let n(h) be the third derivative of 0*h**4 - 79*h**2 + 0 - 7/15*h**6 + 2/105*h**7 + 0*h**3 + 49/15*h**5 + 0*h. Factor n(f).
4*f**2*(f - 7)**2
Let p be (-40768)/(-3822)*(-18)/(-224). Factor -5/7*z + 1/7*z**2 + p.
(z - 3)*(z - 2)/7
Let i = 781 + -298. Let p be i/920 + 2/(-16). Factor 1/5 + p*v**3 + 0*v**2 - 2/5*v - 1/5*v**4.
-(v - 1)**3*(v + 1)/5
Let r(i) be the third derivative of -1/6*i**4 + 0 + 1/10*i**5 - 1/105*i**7 + 10*i**2 + 0*i**6 + 0*i + 0*i**3. Factor r(g).
-2*g*(g - 1)**2*(g + 2)
Let p(t) = t**2 - 337*t - 4186. Let x be p(-12). Determine b so that 1 - 1/4*b**x - 1/2*b + 1/8*b**3 = 0.
-2, 2
Factor 856*k - 274776 - 2/3*k**2.
-2*(k - 642)**2/3
Let b = 595277/4 - 149745. Let m = 926 + b. Suppose m*x**2 - 1/2 + 1/4*x = 0. What is x?
-2, 1
Let t = -280 - -282. Determine y so that -120 - 28*y - 50*y + 21*y - 13*y - 5*y**t = 0.
-12, -2
Let m be 5 - (-22)/66*(-17 - (1 - 3)). Let o = 3919/735 + 1/735. Let 16/3 + m*b + o*b**3 - b**4 - 8*b**2 = 0. What is b?
-2/3, 2
Let n(c) be the first derivative of 67/6*c**3 + 2*c + 9/10*c**5 - 119 - 51/8*c**4 - 29/4*c**2. Let n(z) = 0. What is z?
1/3, 1, 4
Factor 726/13*k - 2/13*k**2 - 724/13.
-2*(k - 362)*(k - 1)/13
Let h = 990298/5 - 198058. Determine j, given that -h*j**2 + 52/5*j - 24/5 = 0.
1/2, 6
Suppose v + 7 = -i, 5*v + 4*i = 72 - 100. Suppose -4*x - 2 = -18. Find p such that v + 5*p**3 + 5/2*p**2 + 1/3*p - 2*p**5 + 5/6*p**x = 0.
-1, -1/3, -1/4, 0, 2
Let r be 24*4/(-56)*40670/(-2241)*120/14. Factor -r - 2/3*c**2 - 80/3*c.
-2*(c + 20)**2/3
Suppose -16*c - w - 14 = -20*c, 14 = 2*c + 3*w. Suppose 4*h = -0*g - c*g + 12, -4*h = 3*g - 9. Factor 6*y**3 + 0 + h*y + 4/3*y**2.
2*y**2*(9*y + 2)/3
Let k(x) be the first derivative of 2*x**6/3 - 4*x**5/5 - 11*x**4 - 28*x**3/3 + 20*x**2 + 32*x + 1072. Suppose k(g) = 0. Calculate g.
-2, -1, 1, 4
Suppose 38*v + 21/5*v**2 - 12/5*v**3 + 1/5*v**4 - 120 = 0. Calculate v.
-4, 5, 6
Let t(j) be the second derivative of 39/2*j**2 - 7/16*j**4 + 45/2*j**3 - 2*j + 10. Find m, given that t(m) = 0.
-2/7, 26
Let c(i) be the third derivative of -4*i**2 - 1/12*i**4 + 8*i - 1/6*i**5 + 0 + 0*i**3 - 1/15*i**6. Solve c(s) = 0.
-1, -1/4, 0
Let r(u) = -12*u + 3. Let s be r(-2). Let g(n) = 3*n**2 + 1. Let m be g(1). Factor 31*c**2 + 3*c**5 - s*c**m - 112*c**2 + 133*c**3 - 52*c**3.
3*c**2*(c - 3)**3
Suppose 0 - 1/8*g**5 - 611/4*g**3 + 333*g**2 - 9*g**4 - 1369/8*g = 0. Calculate g.
-37, 0, 1
Find p, given that 2/9*p**3 + 98 + 86/9*p**2 + 322/3*p = 0.
-21, -1
Let i(l) be the second derivative of -l**6/6 + 23*l**5/4 - 115*l**4/4 - 715*l**3/6 + 475*l**2 - 8*l - 89. Determine b so that i(b) = 0.
-2, 1, 5, 19
Solve 100 + 42*x + 50*x**2 + 30*x + x**3 + 98*x - 25*x + 4*x**3 = 0.
-5, -4, -1
Let i(s) be the second derivative of -4*s**2 + 11/18*s**4 + 33*s + 2/9*s**3 + 1/20*s**5 - 4 - 2/45*s**6 - 1/126*s**7. What is d in i(d) = 0?
-3, -2, 1, 2
Suppose 13*i - 800 = 1735. Let s = -192 + i. Factor 0 - 5/6*g**4 + 5/6*g**2 - 5/6*g + 5/6*g**s.
-5*g*(g - 1)**2*(g + 1)/6
Let c be 11/33*21/(-1) - -12. Let v(r) be the second derivative of -1/50*r**c + 1/5*r**2 + 1/15*r**3 - 1/30*r**4 + 12*r + 0. Find f, given that v(f) = 0.
-1, 1
Let y be 9*(8/6 - 1). Let z(m) be the third derivative of -1/90*m**5 + 15*m**2 + 0 + 1/540*m**6 + 0*m + 1/945*m**7 + 2/27*m**y - 1/108*m**4. Factor z(x).
2*(x - 1)**2*(x + 1)*(x + 2)/9
Let s(d) be the first derivative of d**5/60 - 5*d**4/18 + 7*d**3/6 - 12*d + 116. Let n(c) be the first derivative of s(c). Factor n(x).
x*(x - 7)*(x - 3)/3
Let r(b) be the second derivative of 0*b**2 + 194*b + 1/21*b**4 + 1/70*b**5 + 0 - 1/105*b**6 + 0*b**3. Factor r(f).
-2*f**2*(f - 2)*(f + 1)/7
Factor 2/15*f**3 + 0 + 18/5*f**2 + 0*f.
2*f**2*(f + 27)/15
Suppose 7*r + 4 = 5*r. Let v be 3 - 32/(-12) - r/(-3). Factor -4*j + 11*j**4 - 15*j**2 - 2*j + 3*j**v - 9*j**3 - 8*j**4.
3*j*(j - 2)*(j + 1)**3
Factor 8*m - 260 - 20*m - 128*m - 5*m**2.
-5*(m + 2)*(m + 26)
Factor -705 - 5*v**3 - 90*v**2 - 165*v - 693 - 644 + 1962.
-5*(v + 1)**2*(v + 16)
Let i(c) be the first derivative of 2 - 289/12*c**2 + 0*c + 17/9*c**3 - 1/24*c**4. Factor i(p).
-p*(p - 17)**2/6
Let j = -5 + 7. Suppose -86*f = -78346 + 78346. Suppose f + 7/4*c**4 - 23/4*c**3 - c + 5*c**j = 0. Calculate c.
0, 2/7, 1, 2
Suppose 134/5*z + 2/5*z**2 - 84 = 0. What is z?
-70, 3
What is w in 1608/7 - 230*w + 2/7*w**2 = 0?
1, 804
Factor -7*z**2 + 3*z**2 - 616 - 3*z**2 + 12*z**2 - 379 + 990*z.
5*(z - 1)*(z + 199)
Factor 2695/6*x + 2401/2 + 1/6*x**3 + 101/6*x**2.
(x + 3)*(x + 49)**2/6
Let r be ((-18)/(-4))/((-6)/(-10)). Let q be (-9)/(-1) + 469/(-134) - (3 - 5). Factor -q*z - 5/2 + 5/2*z**2 + r*z**3.
5*(z - 1)*(z + 1)*(3*z + 1)/2
Let p be -5*6/120 - (-894)/920. Let q = p - 12/23. Factor 16/5 + 1/5*g**4 + q*g**2 + 6/5*g**3 - 24/5*g.
(g - 1)**2*(g + 4)**2/5
Let k = -3/140198 + 105150/70099. Factor -k*o**2 + 12 + 3*o.
-3*(o - 4)*(o + 2)/2
Let i = 9/10058 + 201133/30174. Factor -i + 20*u + 35/3*u**2.
5*(u + 2)*(7*u - 2)/3
Suppose -2*a = -5*y - 58, -1062*a - 6 = -1061*a + y. Determine f, given that 2/9*f**a + 0*f**3 + 0*f + 0 - 8/9*f**2 = 0.
-2, 0, 2
Suppose -155 = 26*n - 207. Factor 20*m**2 - 10*m**n - 10*m**2 + 74*m - 5*m**2 + 126*m.
-5*m*(m - 40)
Let a(m) be the third derivative of -11*m**6/120 - 13*m**5/6 - 41*m**4/3 + 32*m**3/3 - 85*m**2 - 2*m. Factor a(q).
-(q + 4)*(q + 8)*(11*q - 2)
Factor -2/3*g + 80/9 - 2/9*g**2.
-2*(g - 5)*(g + 8)/9
Let c(a) = a**2 - 10*a + 24. Let h be c(7). Suppose 0 = -4*t - h*s + 20, -s + 32 = 2*t - 5*s. Find i such that 4*i**3 + 0*i + 9*i - 13*i + t*i**2 - 8*i**4 = 0.
-1, 0, 1/2, 1
Suppose v + 2 = -4*x - 4, 4*x + 3*v + 10 = 0. Let b be (-12)/x + -12 + 5. Solve -45/2*u**2 - 45/2*u**5 + 105/2*u**4 - b*u - 5/2*u**3 + 0 = 0.
-1/3, 0, 1, 2
Let r(p) be the second derivative of 0 - 1/10*p**4 + 0*p**3 + 0*p**6 - 9/100*p**5 + 0*p**2 + 1/70*p**7 - 138*p. Suppose r(z) = 0. Calculate z.
-1, 0, 2
Let v(g) be the third derivative of 31/168*g**4 + 1/21*g**3 + 2/15*g**5 + 0 + 17*g**2 + 9*g + 9/280*g**6. Let v(n) = 0. What is n?
-1, -2/27
Let i be (1/(-4))/(18/(-432)). Find t, given that 2*t**2 - 4*t**3 - 8*t**4 + 5*t**5 + i*t**2 - t**5 = 0.
-1, 0, 1, 2
Suppose -d = -4*h - 20, -5 = 18*h - 17*h. Let n be -2 + -4*1/(-1 + d). What is z in 3*z**n + 0 + 9/5*z + 1/5*z**4 + 7/5*z**3 = 0?
-3, -1, 0
Factor 158/3*r**3 + 0 + r**4 - 34*r + 253/3*r**2.
r*(r + 2)*(r + 51)*(3*r - 1)/3
Factor -279662*p - 8338*p - 3*p**5 + 4087*p**2 + 63113*p**2 + 216*p**4 - 5760*p**3.
-3*p*(p - 20)**3*(p - 12)
Let m(n) be the first derivative of -n**4/3 + 26*n**3/3 - 24*n**2 + 38*n - 84. Let h(t) be the first derivative of m(t). Factor h(y).
-4*(y - 12)*(y - 1)
Factor 121*b + 174*b**3 + 10*b**4 + 29*b**2 + 493*b**2 + 66*b**2 + 87*b.
2*b*(b + 4)*(b + 13)*(5*b + 2)
Let w(b) be the third derivative of b**5/80 + 1047*b**4/8 + 1096209*b**3/2 - 4137*b**2. Suppose w(c) = 0. What is c?
-2094
Let d(w) be the second derivative of 0*w**2 + 3/5*w**5 - w + 2/15*w**6 + 44 + w**4 + 2/3*w**3. Suppose d(r) = 0. Calculate r.
-1, 0
Let q(j) be the third derivative of -2 + 9*j**2 - 10/3*j**3 + 0*j - 5/3*j**4 + 1/42*j**7 - 1/4*j**5 + 1/12*j**6. Factor q(