d**3 + 3*d**3 + 9*d - 684 - d**3. Let z be c(4). Factor 864/7 + 72/7*i**z - 432/7*i - 4/7*i**3.
-4*(i - 6)**3/7
Let k(q) = -2*q**3 + 32*q**2 - 2347*q + 34759. Let r be k(15). Factor -6*w - 9*w**2 - 3/4*w**r + 0 - 9/2*w**3.
-3*w*(w + 2)**3/4
Let y(m) be the first derivative of -8*m**6/5 + 792*m**5/25 + 6597*m**4/20 + 4361*m**3/5 + 1071*m**2/2 + 621*m/5 + 1716. Find l, given that y(l) = 0.
-3, -1/4, 23
Factor -7500/7*z - 9/7*z**2 + 5004/7.
-3*(z + 834)*(3*z - 2)/7
Factor -32/7*f + 0*f**2 + 0 + 2/7*f**3.
2*f*(f - 4)*(f + 4)/7
Let u(s) be the first derivative of 121 - 1/7*s**4 + 0*s**2 + 5/21*s**3 + 0*s. Determine o, given that u(o) = 0.
0, 5/4
Let a(l) = -10074*l - 322366. Let z be a(-32). Let -2/5*s**3 + 0 - 8/5*s - 8/5*s**z = 0. Calculate s.
-2, 0
Let c(w) = w**3 - 12*w**2 - 11*w - 23. Suppose -q = q + 3*o - 14, 20 = -5*o. Let u be c(q). Factor -170*d + 805/2*d**u - 980*d**4 - 1715/2*d**5 + 20 + 335*d**2.
-5*(d + 1)**2*(7*d - 2)**3/2
Let o be (-45)/(-30)*2/(-3) + 4. Determine l so that -17*l**o - 24*l + 3*l**3 + 8*l**2 + 29*l**2 + 0*l + 2*l**4 - 5*l**2 = 0.
0, 2, 3
Let x(b) = 3*b**3 + b**2 - b + 7. Let d(c) = 2*c**3 + 2*c**2 - 2*c + 6. Suppose -l = 5*l - 24. Let j(r) = l*x(r) - 5*d(r). Solve j(a) = 0.
1
Let v(d) = -2*d**2 + d - 3*d**2 + 6*d**2 - 3. Let s be v(2). Factor 5*c**5 + 2 - 10*c**2 + s*c**4 - 2 - 5*c**3 + 7*c**4.
5*c**2*(c - 1)*(c + 1)*(c + 2)
Let m(b) = 2*b**3 + 4*b**2 - 157*b + 126. Let i(j) = -j**3 - 5*j**2 + 79*j - 63. Let w(p) = -5*i(p) - 2*m(p). Factor w(a).
(a - 3)*(a - 1)*(a + 21)
Suppose 624*s + 249 = 1497. Suppose 2/13*a**3 - 8/13*a - 16/13 + 4/13*a**s = 0. What is a?
-2, 2
Factor 220*v**2 + 5*v**5 + 160*v**3 + 72*v**2 - 50*v**4 - 452*v**2.
5*v**2*(v - 4)**2*(v - 2)
Let z = -60 + 65. Let a(g) = 5*g**2 - 6*g - 2. Let y be a(z). Determine v, given that -y*v**4 - 15*v**5 + 5*v**2 + 2*v - 12*v + 25*v**3 + 88*v**4 = 0.
-1, 0, 2/3, 1
Let x(m) be the first derivative of -5/27*m**3 - 1/54*m**4 + 1/45*m**5 - 9 - 12*m - 2/9*m**2. Let b(l) be the first derivative of x(l). Let b(c) = 0. What is c?
-1, -1/2, 2
Let w(i) be the second derivative of -2*i**6/15 + 36*i**5/5 - 81*i**4 - 2960*i**3/3 - 2400*i**2 - 352*i - 2. Determine y, given that w(y) = 0.
-3, -1, 20
Let l(n) be the first derivative of -n**6/18 + 4*n**5/15 + 3*n**4/2 + 20*n**3/9 + 7*n**2/6 - 3222. What is w in l(w) = 0?
-1, 0, 7
What is s in 272 - 135*s - 1/2*s**2 = 0?
-272, 2
Let c = -124783 + 629099/5. Factor -5292/5*p**2 - 1029/5*p**3 - 9072/5*p - c.
-3*(7*p + 12)**3/5
Suppose -7 = -z - 25. Let f be 2 - 3/(-1) - (-63)/z. Factor f*y - 3/2*y**3 + 3*y**2 - 3.
-3*(y - 2)*(y - 1)*(y + 1)/2
Let l(a) be the third derivative of 0*a - 1/10*a**5 + 0 + 1/168*a**8 - 1/12*a**6 + 1/35*a**7 - 36*a**2 + 1/3*a**4 + 0*a**3. Factor l(u).
2*u*(u - 1)**2*(u + 1)*(u + 4)
Suppose 475 = 2*x - 3*u + 502, -3*x = 3*u - 27. Let b(t) be the first derivative of -32 - 1/6*t**3 + 1/16*t**4 + x*t**2 + 0*t. Factor b(y).
y**2*(y - 2)/4
Solve 2/9*v**3 + 0 - 388/9*v + 386/9*v**2 = 0.
-194, 0, 1
Let o be ((-30)/4)/(-3) - (-750)/(-1500). Factor u**3 + 1 - u**4 + 7/2*u - 1/2*u**5 + 4*u**o.
-(u - 2)*(u + 1)**4/2
Let y be (66/4 + (-99)/(-44))*(-128)/(-54). Let 4/9*u**2 + y + 80/9*u = 0. What is u?
-10
Factor -2/15*l**2 + 12/5 + 34/15*l.
-2*(l - 18)*(l + 1)/15
Let c(d) = 23*d**2 + 2*d**3 - 24*d**2 + 1 - d**3 - 2*d + 0. Let f(y) = -7*y**2 - 10*y + 1. Let p(k) = 3*c(k) - 3*f(k). Factor p(n).
3*n*(n + 2)*(n + 4)
Let f be (6*1/(-4))/(594/(-36) - -16). Find c such that 3/4*c**5 + 99/4*c**f + 15/2*c**4 + 12*c + 0 + 30*c**2 = 0.
-4, -1, 0
Let v(m) = -6*m**2 + 1639*m + 23824. Let j be v(287). Solve 24/11*h**2 + 0 + 16/11*h + 10/11*h**4 - 36/11*h**j = 0 for h.
-2/5, 0, 2
Let y(w) = -w**3 - 9*w**2 + 21*w + 236. Let h be y(-8). Let s(l) be the second derivative of -15/2*l**2 + 10/3*l**3 + 8*l + 0 - 5/12*l**h. Factor s(q).
-5*(q - 3)*(q - 1)
Let b(r) be the third derivative of 1/15*r**5 - 32/3*r**3 - 5/2*r**4 + 6*r + 0 + r**2. Factor b(p).
4*(p - 16)*(p + 1)
Let f be (-22)/(-2) - (0 - -8). Factor -36*a**f + 17*a**3 + 2*a**4 + 21*a**2 - 141*a**2 + 0*a**4 - 37*a**3.
2*a**2*(a - 30)*(a + 2)
Let j(i) = -175*i + 199. Let p be j(1). Let x(f) be the first derivative of -36*f**2 - 15/16*f**4 - 21/2*f**3 - 17 - p*f. Solve x(l) = 0.
-4, -2/5
Let s(p) be the second derivative of -26/3*p**3 + 1/3*p**4 + 1 + 28*p + 0*p**2. Factor s(l).
4*l*(l - 13)
Let p(n) be the third derivative of -n**6/160 - 3*n**5/8 - 119*n**4/32 + 75*n**3/4 + 7037*n**2. Factor p(f).
-3*(f - 1)*(f + 6)*(f + 25)/4
Let g(i) be the second derivative of -7*i - 43/10*i**5 + 22/9*i**3 + 0 - 35/18*i**4 + 1/9*i**7 + 0*i**2 - 13/9*i**6. What is v in g(v) = 0?
-1, 0, 2/7, 11
Let a be 154 - 0 - 13/(104/(-8)). Find x, given that -x**4 - 21*x - 670*x**3 + 585*x**3 + 9*x**4 + a*x**2 - 3*x**4 - 54*x = 0.
0, 1, 15
Suppose 108*s - 47*s - 5124 = 0. Let o be 25 - (s/7 - 8). Suppose -36*j**2 - 57/2*j - 21*j**4 - 9/2*j**5 + o + 69*j**3 = 0. What is j?
-7, -2/3, 1
Let x(s) = -266*s - 19415. Let j be x(-73). Determine y, given that 2/7*y**4 - 10/7*y**j - 16/7 + 12/7*y**2 + 8/7*y = 0.
-1, 2
Let n(v) be the second derivative of v**6/6 - 10*v**5 + 785*v**4/4 - 1170*v**3 + 2430*v**2 + 11544*v. Factor n(j).
5*(j - 18)**2*(j - 3)*(j - 1)
Let l(m) be the second derivative of -m**7/3780 + 4*m**6/675 - m**5/75 - 7*m**4 + 29*m. Let t(n) be the third derivative of l(n). Factor t(q).
-2*(q - 6)*(5*q - 2)/15
Let l be ((-2213)/(6 + 201/(-33)))/1. Factor -d**3 - 7*d + 8*d**2 - 24343 + l.
-d*(d - 7)*(d - 1)
Let h(l) be the third derivative of -l**6/40 - 27*l**5/5 - 2805*l**4/8 + 3025*l**3 - 192*l**2 + 3. Solve h(n) = 0 for n.
-55, 2
Let f(m) be the third derivative of -m**5/540 + 7*m**4/9 - 392*m**3/3 + 966*m**2. Solve f(q) = 0 for q.
84
Let p(g) be the first derivative of -3/4*g**2 + 1/4*g**3 + 28 - 6*g. Find t, given that p(t) = 0.
-2, 4
Suppose 2*g - 450 = -444. Let v(p) be the third derivative of -1/36*p**4 - 1/18*p**5 + 0*p - 6*p**2 + 0 + 5/9*p**g + 1/180*p**6. Factor v(j).
2*(j - 5)*(j - 1)*(j + 1)/3
Factor -1086*k**2 + 14*k**3 - 25458*k - 28571*k - 49178*k + 4924*k - 17*k**3.
-3*k*(k + 181)**2
Let v(f) be the second derivative of -f**5/10 + f**4 + 4*f**3/3 - 24*f**2 - 45*f - 6. Let v(m) = 0. Calculate m.
-2, 2, 6
Let j be (-49*4/(-84)*-14)/(-2). Let r(c) be the first derivative of -7/3*c**2 - j*c - 1/9*c**3 + 40. Let r(a) = 0. Calculate a.
-7
Let g(h) be the third derivative of -h**6/120 - 4*h**5/15 - 11*h**4/6 + 80*h**3/3 - 1540*h**2. Factor g(v).
-(v - 2)*(v + 8)*(v + 10)
Let n(v) be the second derivative of 3*v**6/2 - 67*v**5 - 4795*v**4/4 + 6130*v**3/3 + 1710*v**2 + v + 3157. Determine b so that n(b) = 0.
-9, -2/9, 1, 38
Suppose -19*p + 744 = 229*p. Let m(g) be the first derivative of -24 + 1/6*g**2 - 1/3*g**p + 1/15*g**5 - 1/12*g**4 + 2/3*g. Factor m(v).
(v - 2)*(v - 1)*(v + 1)**2/3
Let p(a) be the third derivative of 0*a + 3/40*a**5 + 0*a**6 + 19*a**2 - 1/8*a**4 + 0 + 0*a**3 - 1/140*a**7. Determine s so that p(s) = 0.
-2, 0, 1
Let n be 390/(-260) + (-7)/(-2). Factor 148*b + 119*b**4 + 403*b**2 + 528*b**3 + 79*b**n + 61*b**2 + 12 + 2*b**4.
(b + 1)*(b + 3)*(11*b + 2)**2
Let z(r) be the second derivative of 1 + 4/3*r**3 - 14*r + 0*r**2 + 24/5*r**5 - 5*r**4 + 32/15*r**6. What is k in z(k) = 0?
-2, 0, 1/4
Let x(k) be the third derivative of -k**6/420 + 13*k**5/210 - 31*k**4/84 - 15*k**3/7 - 417*k**2 - 2. Find t, given that x(t) = 0.
-1, 5, 9
Let i = -856923 - -3427767/4. Factor 45/2*m**2 - 85/2 + i*m + 5/4*m**3.
5*(m - 1)*(m + 2)*(m + 17)/4
Let b be (-81594)/(-693) - ((-10)/45 - (1045/(-693) - -1)). Determine j, given that 180/11*j**3 + 1632/11*j + 576/11 - b*j**2 - 7/11*j**4 = 0.
-2/7, 2, 12
Let o be (12/(-4)*12/(-36))/(2*3/12). What is y in 4/9*y + 2/9*y**o - 2/3 = 0?
-3, 1
Let b(n) = -23*n + 17. Let r be b(-11). Let q be ((-1)/3)/((-10)/r). Factor q*c**2 - 12 + 20*c - 23*c + 15*c.
3*(c + 2)*(3*c - 2)
Let b be -1 + (0 - -5) + 0. Let u be (-1 + 142/71)*(-18)/(-10). Let 0 - 3/5*l - 3/5*l**b - 9/5*l**3 - u*l**2 = 0. Calculate l.
-1, 0
Let d be (4/(-6) - (-56)/12) + 2. Suppose -y = -d*y. Factor 5*q**5 + 15*q**2 + 9*q + 35*q**3 + y*q - 9*q + 25*q**4.
5*q**2*(q + 1)**2*(q + 3)
Suppose -h + 4*s + 325 = 0, -5*s + 676 = -2*h + 4*h. Let y be -3 + 16 - (5 + -1). Suppose y*b**3 + 9*b**4 + 336*b**2 - h*b**