+ 4*m**2 + 18*m. Factor x(k).
-(k + 8)*(4*k - 1)*(13*k - 2)
Suppose -4*o + 5 - 1 = 0. Let m be (-2)/(-4)*8*o. Factor 88*p**3 + m*p - 3*p - 89*p**3.
-p*(p - 1)*(p + 1)
Let k = 545/3 - 43046/237. Let o = k - -149/237. Factor 4/3 + 2/3*z - o*z**2.
-2*(z - 2)*(z + 1)/3
Let o(a) be the second derivative of a**6/1260 - a**5/140 + 2*a**3/3 + 3*a. Let p(w) be the second derivative of o(w). Factor p(u).
2*u*(u - 3)/7
Suppose 0*d - 19*s = -d - 20*s, 0 = 4*d - 4*s. Find f, given that -4/7*f**4 + d*f - 4/7*f**2 - 8/7*f**3 + 0 = 0.
-1, 0
Let z = 119 + -108. Suppose -3*x**4 - z*x**5 + 4*x**4 + 14*x**5 = 0. Calculate x.
-1/3, 0
Let z(f) be the first derivative of -5/2*f**2 - 9 - 1/10*f**5 - 3/4*f**4 - 2*f**3 - 3/2*f. Factor z(u).
-(u + 1)**3*(u + 3)/2
Let c be (-12)/36*((-224)/21)/2. Let -4/3*y**2 - 2/9*y**3 - c - 8/3*y = 0. Calculate y.
-2
Let w(u) be the second derivative of u**4/12 - 5*u**3/2 + 33*u**2/2 - 54*u. Let b(c) = -c**2 + 14*c - 34. Let p(s) = -3*b(s) - 2*w(s). Solve p(x) = 0.
6
Let f be (120/48)/((-70)/(-24)). Let c(g) be the first derivative of -5 + 12/7*g**2 + 8/7*g + f*g**3. Let c(q) = 0. Calculate q.
-2/3
Let f(r) = -11*r - 117. Let w be f(-11). Let p(o) be the second derivative of 5*o - 16/45*o**3 - 1/18*o**w + 7/150*o**5 + 0 - 4/15*o**2. Solve p(i) = 0 for i.
-1, -2/7, 2
Suppose -2*r + 3 + 3 = -m, 5*r = 3*m + 14. Solve 3*x + x + m - 2 + 2*x**2 = 0 for x.
-2, 0
Let b be (-75)/(-12) + (-2 - 2). Let a(d) be the first derivative of -5*d**3 - b*d**4 + 2 - 3*d**2 + 0*d. Determine z, given that a(z) = 0.
-1, -2/3, 0
Let w be 13/39 + 20/(-6). Let u be 8/(-36)*3*w. Find d such that -8/3*d**4 + 0*d**u + 0*d - 2/3*d**3 + 0 = 0.
-1/4, 0
Suppose 4*p - 4*m = 20 - 0, 2*p = 4*m + 18. Let h = 277/2 + -132. Find b such that 17/2*b**3 + 2*b**4 + 12*b**2 + p + h*b = 0.
-2, -1, -1/4
Let g be (-58)/(-60) - 156/520. Find l, given that 8/3 + 4*l - 1/3*l**4 + g*l**2 - l**3 = 0.
-2, -1, 2
Let t be (0 + -2)/(-3*1). Let z = -62 - -65. Suppose 0 + 0*i**4 + 0*i**2 - t*i**z + 1/3*i + 1/3*i**5 = 0. Calculate i.
-1, 0, 1
Factor -43/3*v**2 - 32/3 + 26*v - v**3.
-(v - 1)*(v + 16)*(3*v - 2)/3
Suppose 0 = 5*p - 2*r - 33, 3*r + r = p - 21. Suppose 0*o - 14 = -p*o - k, 5*o + 5*k = 30. Factor -4*n**2 + 11*n**2 - 5*n**o.
2*n**2
Let f(m) be the first derivative of 5*m**4/4 + 70*m**3/3 - 16. Factor f(h).
5*h**2*(h + 14)
Let y = 42837/15719 - -3/1429. Factor -150/11*i + 250/11 + y*i**2 - 2/11*i**3.
-2*(i - 5)**3/11
Suppose k = -3 + 7. Let i(y) be the second derivative of 4*y + 0*y**2 + 1/3*y**3 - 1/3*y**k + 1/10*y**5 + 0. Factor i(q).
2*q*(q - 1)**2
Let y(h) be the second derivative of -h**7/1050 - h**6/300 - 17*h**2/2 - 8*h. Let v(f) be the first derivative of y(f). Factor v(o).
-o**3*(o + 2)/5
Let p = 1804/357 + 100/357. Determine m so that -16 - 4/9*m**2 + p*m = 0.
6
Let g(f) be the second derivative of -3*f - 1/2*f**5 - 5/2*f**2 + 5/2*f**3 + 1/2*f**6 - 5/42*f**7 + 0 - 5/6*f**4. Find o such that g(o) = 0.
-1, 1
Suppose 8*j + 14*j - 4*j = 0. Suppose 0 = 10*h - 6*h - 2*r - 8, 5*h - 4*r - 16 = j. Determine z so that -2/11 + 2/11*z**2 + h*z = 0.
-1, 1
Let m(p) be the first derivative of -4*p**3/3 + 26*p**2 - 48*p - 37. Let m(s) = 0. Calculate s.
1, 12
Suppose 3*l + 1 = -8, 2*l = -2*g + 2. What is z in -8*z**2 - 4*z - 11*z**5 + 4 + 7*z**5 + 8*z**3 + 0*z**g + 4*z**4 = 0?
-1, 1
Let m be 2/7 + 804/(-168). Let f = 5 + m. Factor 1/4 + 1/4*k**2 + f*k.
(k + 1)**2/4
Let m(d) be the second derivative of -21*d**5/4 - 145*d**4/12 + 25*d**3/3 - 2*d - 176. Determine f, given that m(f) = 0.
-5/3, 0, 2/7
Let m(j) be the second derivative of 5/4*j**4 + 5/42*j**7 + 0*j**3 - 1/4*j**5 + 0 + 6*j - 1/2*j**6 + 0*j**2. Let m(i) = 0. What is i?
-1, 0, 1, 3
Let a = 18470/9 - 2052. Factor -2/9 + a*n**2 + 2/9*n - 2/9*n**3.
-2*(n - 1)**2*(n + 1)/9
Let m(h) = -3*h - 6. Suppose 9*w - 105 - 48 = 0. Let y be 6/3 + 3 + 1. Let a(b) = -b**2 + 9*b + 17. Let t(s) = w*m(s) + y*a(s). Factor t(f).
-3*f*(2*f - 1)
Let i(q) be the third derivative of q**9/211680 + q**8/3528 + 5*q**7/882 + q**5/60 - 51*q**2. Let u(t) be the third derivative of i(t). Factor u(y).
2*y*(y + 10)**2/7
Let n(i) be the first derivative of -8*i**3/3 + i**2 + 9. Let o(u) = -7*u**2 + u. Let y(x) = 4*n(x) - 5*o(x). Let y(v) = 0. What is v?
-1, 0
Let l be ((-364)/154 - -3)/7. Factor 3/11*o + l*o**2 + 0.
o*(o + 3)/11
Let 20 - 8*h**2 + h**3 - 28009*h - 3*h**3 + 28023*h = 0. Calculate h.
-5, -1, 2
Let d = 1/139 + 134/695. Let j(g) be the first derivative of 1/3*g**3 + 0*g**2 + 0*g - 1/2*g**4 - 3 + d*g**5. Find k such that j(k) = 0.
0, 1
Let j be -4 - 42/12*96/(-56). Factor 2/5*d**j + 4/5 - 7/5*d + 1/5*d**3.
(d - 1)**2*(d + 4)/5
Let d(u) be the second derivative of -3/2*u**2 + 0 - 5/8*u**4 + 0*u**3 - 6*u - 1/12*u**5. Let k(m) be the first derivative of d(m). Find h, given that k(h) = 0.
-3, 0
Let u(k) = k**5 - 2*k**4 + k**3 - k**2 - 1. Let z(d) = -6*d**5 + 18*d**4 - 12*d**3 + 3*d**2 + 3. Let j(p) = -3*u(p) - z(p). Determine i so that j(i) = 0.
0, 1, 3
Let i(t) = 2*t - 10. Let a be i(7). Suppose -n + a = n. Suppose f**4 + f**2 + n*f**5 + f**4 - 2*f**3 + 0*f**5 - 3*f**2 = 0. Calculate f.
-1, 0, 1
Let j = -2 - -1. Let p(v) = -2429*v**2 + 1 + 1211*v**2 + 1217*v**2. Let n(o) = -24*o**3 + 34*o**2 - 10. Let i(t) = j*n(t) - 6*p(t). Solve i(l) = 0 for l.
-1/3, 1/2, 1
Suppose -x - 3 = -5. Suppose 2*v - 5*a + 7 = -9, -4*v + a + 4 = 0. Factor -v*i + 0*i + 0*i**2 - i**4 - i**2 + 2*i**2 + x*i**3.
-i*(i - 2)*(i - 1)*(i + 1)
Let r(z) = -z**2 + z + 1. Let u = -15 - -27. Suppose 2*a - 1 = -5, 5*h + a = -u. Let i(p) = -4*p**2 + 2*p + 5. Let q(j) = h*i(j) + 6*r(j). Factor q(w).
2*(w - 1)*(w + 2)
Let s be 21/(378/(-15))*8/(-10). Solve s*g + 1/3*g**2 + 1/3 = 0 for g.
-1
Let r(s) = 11*s**4 + 109*s**3 + 967*s**2 + 659*s - 1738. Let g(t) = -57*t**4 - 546*t**3 - 4836*t**2 - 3294*t + 8691. Let z(q) = 4*g(q) + 21*r(q). Factor z(d).
3*(d - 1)*(d + 2)*(d + 17)**2
Factor 248/3*d + 2/3*d**2 + 7688/3.
2*(d + 62)**2/3
Let u be (10 + -8)*27/(-6). Let k(g) = -3*g**4 + 12*g**2 + 5*g. Let r(n) = -6*n**4 + 24*n**2 + 9*n. Let s(l) = u*k(l) + 5*r(l). Factor s(i).
-3*i**2*(i - 2)*(i + 2)
Factor -27/7*y - 6/7 + 15/7*y**2.
3*(y - 2)*(5*y + 1)/7
Let n(z) = 10*z**3 + 28*z**2 - 58*z + 32. Let u(l) = 12*l**3 + 28*l**2 - 57*l + 32. Let k(q) = 5*n(q) - 4*u(q). Suppose k(w) = 0. Calculate w.
-16, 1
Let n be ((-98)/28)/(2/(-12)). Let j = n - 15. Factor 3*a**4 + 15*a**3 + 0 - j*a**3 - 2 - 4 + 3*a**2 - 9*a.
3*(a - 1)*(a + 1)**2*(a + 2)
Let x(q) be the third derivative of -1/24*q**6 - 160/3*q**3 + 0 + q - 10*q**2 - 10*q**4 - q**5. Factor x(m).
-5*(m + 4)**3
Suppose 79*u = 119*u. Factor 1/4*s**5 + 0*s + 0 + u*s**2 + 0*s**3 + 1/4*s**4.
s**4*(s + 1)/4
Let n(l) be the second derivative of -l**6/70 - 9*l**5/140 + l**4/28 + 3*l**3/14 + 37*l. Factor n(z).
-3*z*(z - 1)*(z + 1)*(z + 3)/7
Let o(r) be the first derivative of 1715*r**4/4 - 245*r**3 + 105*r**2/2 - 5*r + 24. Factor o(f).
5*(7*f - 1)**3
Factor -10*p**3 - 12*p**4 + 7*p**3 - 4*p**5 - 5*p**3.
-4*p**3*(p + 1)*(p + 2)
Let a(o) be the second derivative of -17*o**5/80 - 5*o**4/16 + o**3/12 - 2*o - 154. Factor a(b).
-b*(b + 1)*(17*b - 2)/4
Let f be 42/560*8 + 1*(-1)/(-15). Factor -4/3 + 2/3*o**2 - f*o.
2*(o - 2)*(o + 1)/3
Let s(y) be the second derivative of 1/360*y**6 + 2*y + 0*y**2 + 1/12*y**4 + 5/6*y**3 + 1/40*y**5 + 0. Let p(w) be the second derivative of s(w). Factor p(g).
(g + 1)*(g + 2)
Let z(v) be the second derivative of -5*v**4/12 + 55*v**3/6 - 62*v. Solve z(m) = 0 for m.
0, 11
Let p(g) be the first derivative of 3*g**5/2 - 5*g**4/8 - 25*g**3/6 + 5*g**2/4 + 5*g + 7. Determine x, given that p(x) = 0.
-1, -2/3, 1
Factor -28/3*o + 4/3*o**2 + 8.
4*(o - 6)*(o - 1)/3
Let y = -555/2 + 2787/10. Find x, given that 0 - 3/5*x + y*x**2 - 3/5*x**3 = 0.
0, 1
Let v be (-38)/(-30) - 2/(-5). Suppose 258 - 242 = 8*g. Factor -5/3*t**5 + 0 + 0*t**g + 0*t - 10/3*t**4 - v*t**3.
-5*t**3*(t + 1)**2/3
Let z = -42 - -75. Factor -z*y**5 + 64*y**5 - 4*y**4 - 33*y**5.
-2*y**4*(y + 2)
Let m(r) be the second derivative of 7*r + 0*r**2 + 0*r**3 + 0 - 1/16*r**4. Solve m(v) = 0 for v.
0
Let 4/5*a**4 + 44*a**2 - 108/5*a + 0 - 116/5*a**3 = 0. Calculate a.
0, 1, 27
Let z(a) be the third derivative of a**5/15 - 7*a**4/3 + 16*a**3 - 385*a**2. Find q, given that z(q) = 0.
2, 12
Suppose 0*p = 4*