at 0 - 3/8*z**3 - 1/8*z**r - 1/4*z**2 + 0*z = 0.
-2, -1, 0
Let n(o) be the second derivative of -o**4/4 - 13*o**3 - 72*o**2 - 312*o. Factor n(c).
-3*(c + 2)*(c + 24)
Let o = 76 - 71. Determine a so that o*a**2 + 9*a**4 + a**2 - 3*a**4 - 8*a**3 - 4*a**4 = 0.
0, 1, 3
Suppose 15*x = 8*x - 7*x. Let s(k) be the third derivative of 0*k**3 + 1/540*k**6 + 0*k**7 + 0*k**4 + 8*k**2 + 0 - 1/1512*k**8 + x*k**5 + 0*k. Factor s(b).
-2*b**3*(b - 1)*(b + 1)/9
Let k(s) = -60*s**2 + 685*s + 1680. Let i(l) = -5*l**2 + 57*l + 140. Let r(q) = 35*i(q) - 3*k(q). Factor r(n).
5*(n - 14)*(n + 2)
Factor -45 + 0*t**4 - 2*t**4 - 24*t + 13 - 2*t**2 - 24*t + 12*t**3 + 0*t**4.
-2*(t - 4)**2*(t + 1)**2
Let f(s) be the second derivative of s**6/120 - 3*s**5/20 + 9*s**4/8 + 7*s**3/6 + 6*s. Let h(t) be the second derivative of f(t). Factor h(g).
3*(g - 3)**2
Factor 59*q + 146 - 2242*q**2 + 90*q + 28*q + 2244*q**2 - 29*q.
2*(q + 1)*(q + 73)
Suppose 168 = 8*w - 0*w. Let y be (-12)/(-30) - (w/15 - 1). Determine i, given that y - 4/5*i - 2/5*i**2 = 0.
-2, 0
Let s(o) be the third derivative of -o**7/105 + 17*o**6/60 - 4*o**5/3 - 25*o**4 - 373*o**2. Find v such that s(v) = 0.
-3, 0, 10
Factor -m + 0 + 1/4*m**2.
m*(m - 4)/4
Let o(k) = -k**3 + 3*k + 2. Let v be o(-2). Let m be (v - 10/7)*14. Factor 12 - m*l + 16*l**4 + 39*l**2 - 17*l**3 + l**3 - 13*l**4 - 2*l**3.
3*(l - 2)**2*(l - 1)**2
Let n(k) be the second derivative of 0*k**2 + 0 - 4/9*k**3 - 4/9*k**4 + 14*k - 1/15*k**6 + 11/30*k**5. Determine x, given that n(x) = 0.
-1/3, 0, 2
Let c = 1280/159 - 106289/477. Let y = 215 + c. Factor -2/9*k + y*k**2 + 0.
2*k*(k - 1)/9
Let g(v) = v + 17. Let t be g(12). Let f = 29 - t. Solve 2*p**2 + 2/7*p**5 + 4/7*p + f + 18/7*p**3 + 10/7*p**4 = 0.
-2, -1, 0
Suppose -3*a + 76 - 64 = 0. Let m(y) be the first derivative of 0*y**2 - 2 + 0*y + 1/4*y**a - 2/3*y**3. Determine p so that m(p) = 0.
0, 2
Let j(o) = o + 21. Let d be j(-16). Let w(l) be the second derivative of -1/2*l**3 + 0*l**2 - 3/20*l**d + 0 - 4*l + 1/2*l**4. Solve w(c) = 0 for c.
0, 1
What is u in 353440*u**3 + 940*u**4 + 4511374*u**2 + 64997025*u**2 + 862725777*u + 234849287168 - 1291334927*u + u**5 - 3061679*u**2 + 6674600830*u = 0?
-188
Factor -3*r**2 + 25*r + 40 - 69*r + 7*r**2 + 0.
4*(r - 10)*(r - 1)
Let s(p) = -p**2 - 7*p + 3. Let a be s(-7). Suppose a*c + 8*c**3 + 5*c**3 + 3*c + c**4 - 5*c**3 + 13*c**2 = 0. What is c?
-6, -1, 0
Let a(m) be the third derivative of m**5/80 + 65*m**4/16 + 4225*m**3/8 + 55*m**2 + 5. Suppose a(y) = 0. What is y?
-65
Suppose -2*s + 0 = 10. Let n(v) = 8*v**2 + 5. Let t(p) = -4*p**2 - 3. Let o(r) = s*t(r) - 3*n(r). Factor o(d).
-4*d**2
Let o = 32 - 26. Let y(q) be the second derivative of -28/3*q**3 + 49/15*q**o + 2*q + 0 - 15/2*q**4 + 14/5*q**5 - 4*q**2. Determine s so that y(s) = 0.
-1, -2/7, 1
Suppose 0 = 43*i - 47*i. Let p(u) be the second derivative of i*u**3 + 0 + 1/48*u**4 + 2*u + 0*u**2. Factor p(w).
w**2/4
Suppose i = 3*i + 64. Let h be (-4*6/i)/((-6)/(-4)). Factor h*s - 1/4*s**2 - 1/4.
-(s - 1)**2/4
Let c(m) be the second derivative of m**5/4 - 40*m**3 - 320*m**2 - 125*m. Suppose c(f) = 0. Calculate f.
-4, 8
Let x be ((-9)/(-15))/((-10)/(-50)) - -106. Let n = 111 - x. Factor -3/7*q - 1/7*q**3 + 3/7*q**n + 1/7.
-(q - 1)**3/7
Let j(o) = o**2 - o - 1. Let w(m) = 5*m**3 - 27*m**2 - 48*m - 15. Let d(g) = -5*j(g) + 5*w(g). Determine p, given that d(p) = 0.
-1, -2/5, 7
Let g = -5858/7 + 837. Let l(u) be the third derivative of 10*u**2 + 0 + 1/21*u**4 + 1/210*u**5 + g*u**3 + 0*u. Find v such that l(v) = 0.
-3, -1
Let x = 12964 - 12961. Determine g so that 6/5*g**x + 4/5*g + 2/5*g**4 - 2/5*g**5 + 0 - 2*g**2 = 0.
-2, 0, 1
Suppose 5*g - 20 = 0, -27*h + 23*h - g = -4. Factor h*m - 2/3*m**2 + 0 - 10/3*m**3 - 14/3*m**4 - 2*m**5.
-2*m**2*(m + 1)**2*(3*m + 1)/3
Let f(t) be the third derivative of t**6/24 + 23*t**5/3 - 465*t**2. Factor f(l).
5*l**2*(l + 92)
Let l be 2 + 6/2 + 12/(-4). Suppose -4*y - 16 = -l*f, 2*y - 3*y - 3 = 0. Factor 27*n**f + 4/3 + 12*n.
(9*n + 2)**2/3
Let w(p) = 5*p**4 - 12*p**3 - 33*p**2 - 10*p - 6. Let k(f) = 11*f**4 - 24*f**3 - 68*f**2 - 20*f - 13. Let u(n) = -6*k(n) + 13*w(n). Solve u(s) = 0.
-10, -1, 0
Let v(j) = -3*j**2 - 1. Let p be v(-2). Let h = 17 + p. Solve 6*n**5 - 5*n**5 + 2*n - h*n**3 + 0*n**3 + n**5 = 0.
-1, 0, 1
Let p(s) be the second derivative of -s**6/120 - 3*s**5/40 + 25*s**4/48 - 3*s**3/4 + 474*s. Factor p(d).
-d*(d - 2)*(d - 1)*(d + 9)/4
Let m(a) = 23*a**3 + 2*a**2 - 2*a + 6. Let y be m(2). Let w = y - 1742/9. Factor -1/9*l**4 + 0 + w*l**2 + 0*l + 0*l**3.
-l**2*(l - 2)*(l + 2)/9
Suppose -2*v + z = 688 - 697, -3*v - 4*z = 14. Let -2/3 - 4/3*a**v + 5/3*a + 1/3*a**3 = 0. Calculate a.
1, 2
Let m be (2*(-6)/(-4))/((-6)/(-4)). Factor 0*l**2 - m*l**2 - 4*l**2 - 16*l + 2*l**2 - 12.
-4*(l + 1)*(l + 3)
Let h(s) be the second derivative of s**4/84 + 2*s**3/21 + 3*s**2/14 - 8*s + 1. Let h(y) = 0. Calculate y.
-3, -1
Let j(s) be the second derivative of 25*s**7/42 + 11*s**6/3 + 7*s**5 + 10*s**4/3 - 54*s. Factor j(m).
5*m**2*(m + 2)**2*(5*m + 2)
Let t be 0/(1 - 0/(-1)). Factor 6*x**3 + 3*x**2 + 0*x**3 - 3*x - 3*x**4 + t*x - 3*x**3.
-3*x*(x - 1)**2*(x + 1)
Let f(s) be the third derivative of s**5/60 - 7*s**4/96 - s**3/12 + 40*s**2 - 1. Factor f(p).
(p - 2)*(4*p + 1)/4
Let i(t) = t**2 + 7*t - 16. Let g be i(-9). Determine v so that 6*v**g + 3*v + 6*v - 11*v = 0.
0, 1/3
Let n(b) = 32*b - 640. Let j be n(20). Let a(q) be the second derivative of 0 + j*q**3 + 0*q**2 - 1/42*q**4 + 11*q. Let a(c) = 0. Calculate c.
0
Suppose -3*w = w + 355 - 363. Factor -6/5 + 2/5*b**w + 4/5*b.
2*(b - 1)*(b + 3)/5
Let u(y) be the second derivative of 169*y**6/30 - 117*y**5/20 - 193*y**4/6 - 18*y**3 - 4*y**2 + 58*y. Factor u(v).
(v - 2)*(v + 1)*(13*v + 2)**2
Let t(l) = -2*l**5 + l**2. Let j(o) = 11*o**5 - 5*o**4 + 7*o**3 - 4*o**2 - 8*o + 4. Let z(u) = 2*j(u) + 10*t(u). What is a in z(a) = 0?
-1, 1, 2
Let i(t) be the third derivative of 0*t**3 - 1/42*t**7 + 0 - 5/24*t**4 - 19*t**2 + 1/12*t**5 + 0*t + 1/24*t**6. Factor i(h).
-5*h*(h - 1)**2*(h + 1)
Let k(j) be the third derivative of -j**7/1785 + j**6/1020 + j**5/510 - j**4/204 + 129*j**2. Solve k(u) = 0 for u.
-1, 0, 1
Let z(k) be the third derivative of k**5/390 + 7*k**4/156 + 2*k**3/13 + 24*k**2 + 1. Find x, given that z(x) = 0.
-6, -1
Let i be (-41)/((-1722)/16)*69. Factor 240/7*j + i*j**2 + 4/7*j**4 + 48/7*j**3 + 100/7.
4*(j + 1)**2*(j + 5)**2/7
Let y = -1917 - -28757/15. Let z(j) be the second derivative of -y*j**6 - 2*j + 8/3*j**3 + 0*j**2 + 0*j**4 - 3/5*j**5 + 0. Factor z(n).
-4*n*(n - 1)*(n + 2)**2
Suppose 0 = 2*c + 4*a, -a = 3*c - 2*c. Let p(q) be the second derivative of 1/40*q**5 + 0 + 7/72*q**4 + 1/18*q**3 - 3*q + c*q**2. Solve p(z) = 0.
-2, -1/3, 0
Let m(f) be the second derivative of f**6/15 - 38*f**5/5 + 253*f**4 - 2812*f**3/3 + 1369*f**2 + 138*f. Factor m(s).
2*(s - 37)**2*(s - 1)**2
Let l(b) be the first derivative of -b**4/12 + 5*b**3/3 - 25*b**2/2 - 9*b + 2. Let g(x) be the first derivative of l(x). Suppose g(d) = 0. Calculate d.
5
Let n(a) be the second derivative of a**6/360 + a**5/30 + a**4/6 - 17*a**3/6 - 5*a. Let d(h) be the second derivative of n(h). Determine b, given that d(b) = 0.
-2
Suppose -72/5*d**3 + 0 - 16/5*d + 64/5*d**2 + 32/5*d**4 - d**5 = 0. What is d?
0, 2/5, 2
Let j(v) = -v + 1. Let q(y) = y**2 - y + 2. Let f be 24/(-16)*(-4)/3. Suppose -3 = f*x + 5*s + 1, 5*x - 11 = -2*s. Let l(h) = x*q(h) - 6*j(h). Factor l(z).
3*z*(z + 1)
Solve -7/4 - 3/2*h - 1/4*h**4 + 2*h**2 + 3/2*h**3 = 0 for h.
-1, 1, 7
Let i(n) be the second derivative of n**6/600 - n**5/100 - n**4/120 + n**3/10 - 37*n**2/2 - 2*n. Let b(r) be the first derivative of i(r). Factor b(u).
(u - 3)*(u - 1)*(u + 1)/5
Let k(c) be the second derivative of 49*c**6/120 + 7*c**5/80 - 23*c**4/8 - 16*c**3/3 - 4*c**2 - 9*c + 2. Determine t, given that k(t) = 0.
-1, -4/7, 2
Let m(a) be the third derivative of 1/21*a**4 + 1/735*a**7 + 1/21*a**3 + 1/35*a**5 + 0 + 4*a**2 + 1/105*a**6 + 0*a. Suppose m(v) = 0. What is v?
-1
Let l(t) be the third derivative of -2/735*t**7 + 0*t**3 - 17*t**2 + 1/105*t**5 + 0*t + 1/1176*t**8 - 1/84*t**4 + 0 + 0*t**6. Factor l(v).
2*v*(v - 1)**3*(v + 1)/7
Let n(u) be the first derivative of u**5 + 185*u**4/4 + 175*u**3/3 - 185*u**2/2 - 180*u - 141. Fact