**2*(s + 1)
Let s(m) be the second derivative of 0 + 3/50*m**5 - 1/50*m**6 + 3/20*m**4 + 6/5*m**2 - 4/5*m**3 - 5*m. Solve s(c) = 0.
-2, 1, 2
Factor -5*d + 0 + 50/3*d**2 - 35/3*d**3.
-5*d*(d - 1)*(7*d - 3)/3
Suppose -3*y = 3*j - 18, 0 = -5*y - j + 2*j + 12. Let d be (-22)/(-14) - (-12)/28. Factor -4*m - y*m**2 + 15 - 18 - d*m.
-3*(m + 1)**2
Suppose 3*d = j - 6, -3*j - 5*d + 10 = -10*d. Let g(n) be the first derivative of 1/21*n**6 - 1/14*n**4 - 3 + 0*n**2 + 2/35*n**5 - 2/21*n**3 + j*n. Factor g(t).
2*t**2*(t - 1)*(t + 1)**2/7
Let p(t) be the second derivative of -t**7/84 + 13*t**6/45 - 287*t**5/120 + 23*t**4/4 + 15*t**3 - 18*t**2 - 31*t - 2. Let p(k) = 0. What is k?
-1, 1/3, 6
Let n(m) = -10*m**4 - 14*m**3 + 35*m**2 - 3*m - 13. Let f(t) = 10*t**4 + 16*t**3 - 36*t**2 + 2*t + 14. Let p(h) = -5*f(h) - 6*n(h). Factor p(d).
2*(d - 1)**2*(d + 2)*(5*d + 2)
Let i(y) = y**3 + 10*y**2 + y. Let j be i(-4). Suppose -j*w**3 + 76*w + 43*w - 39*w - 132*w**3 + 64*w**4 + 68*w**2 + 12 = 0. Calculate w.
-1/4, 1, 3
Let d(g) = 5*g**3 + 75*g**2 + 382*g + 632. Suppose -6*y + 7*y = 6. Let r(b) = -5*b**3 - 75*b**2 - 381*b - 631. Let u(z) = y*d(z) + 7*r(z). Factor u(f).
-5*(f + 5)**3
Let r = 3 - 0. Let v = -25 - -30. Factor -3*h**5 - 2*h**3 + h**v + 5*h**5 - h**r.
3*h**3*(h - 1)*(h + 1)
Let q(l) = 10*l**2 - l + 2. Let p be q(1). Factor 3*k**2 + p + 1 - 8 - 16*k + 4*k**2.
(k - 2)*(7*k - 2)
Let k = 15 - 21. Let n be -3*1/(k/14). Factor -40*m - n + 26*m**2 + 12 + 3 + 24*m**2.
2*(5*m - 2)**2
Factor 2/17*h**2 + 2/17*h**4 - 4/17*h**3 + 0*h + 0.
2*h**2*(h - 1)**2/17
Suppose 4*k - 5*g - 16 = -0*k, 0 = 3*g. Suppose -4*y**2 + 4*y**4 + k*y**3 - 2*y + 4*y - 6*y = 0. What is y?
-1, 0, 1
Factor 0*x + 8/5 - 2/5*x**2.
-2*(x - 2)*(x + 2)/5
Let u be -3*(-7 + 10/2). Let c be (216/(-405))/(0 + (-4)/u). Factor -c*a - 6/5 + 2/5*a**2.
2*(a - 3)*(a + 1)/5
Let c(l) = -17*l**3 + l**2 - 25*l - 4. Let q(k) = 2*k - 3. Let z be q(3). Let m(j) = 6*j - 1 + 1 + 3 - 2 + 4*j**z. Let t(p) = -6*c(p) - 26*m(p). Factor t(h).
-2*(h + 1)**3
Suppose -2*d - 214 = -218. Solve -2/7*k + 0 - 1/7*k**3 - 3/7*k**d = 0 for k.
-2, -1, 0
Factor 625/3*f**2 - 50/3*f + 1/3.
(25*f - 1)**2/3
Let y(x) be the third derivative of -x**8/392 + 3*x**7/70 + 97*x**6/280 + 3*x**5/20 - 95*x**4/56 - 3*x**3 - 178*x**2. Suppose y(m) = 0. What is m?
-3, -1, -1/2, 1, 14
Let i be (3 - 2)*(-1 + 0). Let x be (-36)/4*i/3. What is n in 3 - 3 - x*n + 12*n**2 + 15*n + 3*n**3 = 0?
-2, 0
Suppose 4*q**2 + 0 - 1/6*q**4 - 5/6*q**3 + 0*q = 0. Calculate q.
-8, 0, 3
Let f(p) be the third derivative of -20*p**2 + 1/48*p**5 + 0 - 5/96*p**4 - 1/168*p**7 + 0*p + 1/96*p**6 + 0*p**3. Factor f(n).
-5*n*(n - 1)**2*(n + 1)/4
Let j be 52/(-65) + 17/15. Let q(k) be the first derivative of 0*k + 2/9*k**3 + 2 + j*k**2. Factor q(o).
2*o*(o + 1)/3
Let o = -14/115 - -384/1265. Factor 4/11*y + 0*y**2 + 2/11*y**4 - 4/11*y**3 - o.
2*(y - 1)**3*(y + 1)/11
Let j be (1 - 2)/(5/(-10)). Suppose -53*d**2 - 27*d**j + 105*d**3 + 35*d**4 - 80*d**4 + 20*d = 0. What is d?
0, 2/3, 1
Let z(o) be the second derivative of -o**7/8820 - o**6/2520 + o**5/70 + 19*o**4/12 - 2*o. Let s(p) be the third derivative of z(p). Factor s(c).
-2*(c - 2)*(c + 3)/7
Let v(a) be the second derivative of -2*a**7/21 - 8*a**6/15 + 3*a**5/5 + 10*a**4/3 - 16*a**3/3 - 6*a + 8. Solve v(b) = 0.
-4, -2, 0, 1
Let c(s) = -s**3 - 6*s**2 + s - 2. Let j be c(-6). Let a be 6/(-10)*(j + 3). Factor -5*f**2 - 9*f**a - 14*f**3 + 18*f**3.
-5*f**2*(f + 1)
Let n(f) = -3*f**2 - 99*f - 87. Let h(v) = -4*v - 1. Let r(o) = -3*h(o) + n(o). Find z, given that r(z) = 0.
-28, -1
Determine g, given that 100/9*g**2 + 20164/9 - 2840/9*g = 0.
71/5
Let t(n) be the third derivative of 1/36*n**3 - 1/360*n**5 + 0*n + 0*n**4 + 0 + 39*n**2. Factor t(s).
-(s - 1)*(s + 1)/6
Let k be (-337)/3 + 7 - -3. Let v = -101 - k. Let 2/3*n - v + 4/3*n**2 - 2/3*n**3 = 0. What is n?
-1, 1, 2
Let i(l) = -7*l**4 - 16*l**3 - 58*l**2 + 366*l + 3. Let b(o) = -5*o**4 - 17*o**3 - 57*o**2 + 365*o + 2. Let k(g) = -3*b(g) + 2*i(g). Factor k(c).
c*(c - 3)*(c + 11)**2
Let j(c) be the third derivative of 5*c**8/672 - 13*c**7/140 + 7*c**6/15 - 17*c**5/15 + c**4 + 4*c**3/3 - 46*c**2. Factor j(l).
(l - 2)**4*(5*l + 1)/2
Let l(y) be the third derivative of 1/5*y**6 + 10*y**2 + 0 - 3/4*y**5 + 0*y - y**4 - 1/2*y**3 + 8/35*y**7. Determine a, given that l(a) = 0.
-1, -1/4, 1
Let o(d) = 3*d**2 - 2*d + 2. Let f be o(1). Suppose -4*w**4 - 4*w**f - 185*w**2 + 3*w + 189*w**2 + w = 0. Calculate w.
-1, 0, 1
Let m = 32 - 30. Solve -2*z - 2*z + m*z - 2*z**2 - z**3 + z = 0.
-1, 0
Let t(g) = g**2 + 5*g - 3. Suppose -5*v + 4*o - 27 = 3, -o = 0. Let f be t(v). Factor -f*b**2 + 6*b - 6*b.
-3*b**2
Let h(n) be the third derivative of -5*n**8/336 - n**7/14 - n**6/24 + n**5/4 + 5*n**4/12 - 8*n**2 + 6*n. Find c, given that h(c) = 0.
-2, -1, 0, 1
Let a be ((-9)/(-240))/((-27)/(-12)). Let n(o) be the third derivative of 0*o - 1/30*o**3 + 0 - 1/300*o**5 - 3*o**2 - a*o**4. Factor n(y).
-(y + 1)**2/5
Let f(b) be the second derivative of -3*b**5/5 + 34*b**4/3 - 166*b**3/3 + 48*b**2 - 43*b + 1. Find i, given that f(i) = 0.
1/3, 3, 8
Let f(v) be the second derivative of 3*v**4 + 0 + 4/3*v**3 - 2/21*v**7 + 7/10*v**5 - 3/10*v**6 + 0*v**2 + 37*v. Solve f(z) = 0 for z.
-2, -1/4, 0, 2
Let q be (-7)/154 - (-150)/396. Factor 0 - q*d**3 + 0*d + 1/6*d**4 - 1/2*d**2.
d**2*(d - 3)*(d + 1)/6
Let q(c) = 5*c**2 - 3*c + 10. Let y(a) = -21*a**2 + 11*a - 42. Let o(s) = 26*q(s) + 6*y(s). Let o(d) = 0. Calculate d.
1, 2
Let a(j) be the third derivative of 1/12*j**4 + 4*j**2 + 2/3*j**3 + 0 + 0*j + 1/240*j**5. Suppose a(q) = 0. Calculate q.
-4
Let f = -187 + 939/5. Let s(y) = -7*y + 16. Let d be s(2). Factor 2/5 + 0*v**d - 2/5*v**4 - f*v + 4/5*v**3.
-2*(v - 1)**3*(v + 1)/5
Let p = 33 - 30. Factor 0*l**p - 3*l**3 - 7*l**3 - 12 + 13*l**3 - 15*l**2 + 24*l.
3*(l - 2)**2*(l - 1)
Let a(f) be the second derivative of -f**5/10 - f**4/3 - 17*f + 3. Determine y, given that a(y) = 0.
-2, 0
Let r(x) be the third derivative of 5*x**8/112 - x**7/6 - 3*x**6/8 + 7*x**5/12 + 5*x**4/4 + x**2 + 15*x. Let r(t) = 0. What is t?
-1, -2/3, 0, 1, 3
Let 0*f**3 + 0 + 1/4*f**2 + 1/8*f - 1/4*f**4 - 1/8*f**5 = 0. What is f?
-1, 0, 1
Let k(y) be the first derivative of -8/7*y**2 + 4/7*y**3 - 1/7*y**4 + 1/70*y**5 - 6 - 8*y. Let i(s) be the first derivative of k(s). Factor i(l).
2*(l - 2)**3/7
Let k(j) be the first derivative of -5*j**4/24 - 35*j**3/2 - 2205*j**2/4 - 15435*j/2 + 117. Factor k(z).
-5*(z + 21)**3/6
Factor 1/3*s**2 + 24*s + 432.
(s + 36)**2/3
Let l = 17 - 12. Let u(y) be the first derivative of 0*y**4 - 3 - 1/3*y**3 + 1/5*y**l + 0*y + 0*y**2. Solve u(x) = 0.
-1, 0, 1
Let v be (-8)/(-2) - (-4 + 2). Factor 7*z**2 + 2*z**4 - v*z**3 + z**4 - 2*z**2 - 2*z**2.
3*z**2*(z - 1)**2
Let a be (-36)/(-66) + 1440/264. Let d(y) be the first derivative of -8 + 4/45*y**5 - 1/18*y**4 + 0*y**3 + 0*y**2 - 1/27*y**a + 0*y. Find r such that d(r) = 0.
0, 1
Let f(s) = 6*s**5 - s**4 - 7*s**3 - 13*s + 13. Suppose a = 4 + 1. Let m(h) = -h - 3 - h**3 - h + 0*h + h**5 + a. Let l(b) = 6*f(b) - 39*m(b). Factor l(u).
-3*u**3*(u + 1)**2
Let s(g) be the first derivative of -14 + 16/15*g**3 + 4*g**2 + 1/10*g**4 + 32/5*g. Factor s(a).
2*(a + 2)**2*(a + 4)/5
Solve 27/5*f - 4/5*f**4 + 37/5*f**2 - 3/5*f**3 - 9/5 = 0 for f.
-3, -1, 1/4, 3
Factor 6*o**2 - 18*o - 2/3*o**3 + 18.
-2*(o - 3)**3/3
Let u(l) be the second derivative of l**4/24 + 21*l**3/4 - 65*l**2/2 - 660*l - 1. Factor u(s).
(s - 2)*(s + 65)/2
Suppose -16 = -218*u + 214*u. Let y(d) be the first derivative of 1/15*d**3 - 1/25*d**5 + 0*d**u + 0*d + 0*d**2 - 5. Solve y(a) = 0.
-1, 0, 1
Factor 3*h**3 + 2*h**3 + 23*h**2 + 14 + 2*h**2 + 35*h + 1.
5*(h + 1)**2*(h + 3)
Let x = 226 - 224. Let v(h) be the first derivative of -1/2*h**4 - 4/5*h**x - 8/5*h**3 - 9 + 0*h. Factor v(k).
-2*k*(k + 2)*(5*k + 2)/5
Let g(r) = r**2 + 1. Let w(u) = 6*u + 2. Suppose -3*k = k - 8. Let y(a) = k*g(a) + w(a). Factor y(m).
2*(m + 1)*(m + 2)
Let g be 5775/(-4455)*24/(-28). Solve -g*t**3 - 8/9*t**4 + 0*t - 4/9*t**2 + 0 - 2/9*t**5 = 0.
-2, -1, 0
Let m(z) = -z**3 + 26*z**2 - 24*z + 3. Let l be m(25). Let 214 + 3*q**3 + q**3 + 8*q**2 - l*q - 198 = 0. Calculate q.
-4, 1
Let b(g) = -g - 1. Let p(c) = 5*c**2 - 25*c - 30. Let v(k) = k + 23. Let a be v(-28). Le