*s**4 - 28*s**4 + 9*s**2 + l*s**4 + 2*s**3 = 0. What is s?
-2, -1, 1, 4
Solve -41 - 98*n**3 + 80*n**3 - 10*n**4 + 2*n**5 - 82*n**3 + 41 = 0.
-5, 0, 10
Let j(l) = -l**3 + 4*l**2 - 361*l + 1446. Let m be j(4). Solve -1/6*z**m + z + 7/6 = 0.
-1, 7
Let n(q) = q**2. Let z(y) be the second derivative of -9*y**5/5 - 31*y**4/6 + 62*y**3/3 - 12*y**2 - 9*y. Let f(s) = 2*n(s) - z(s). Factor f(w).
4*(w - 1)*(w + 3)*(9*w - 2)
Let c(u) = -6*u**2 - 75*u - 242. Let y(l) = -7*l**2 - 76*l - 241. Let f(s) = -4*c(s) + 3*y(s). Let q(i) = -i**2 + i. Let h(v) = -f(v) + 2*q(v). Factor h(g).
-5*(g + 7)**2
Suppose 5*m - 5*f + 70 = 0, 0*m = -2*m - 5*f - 14. Let y be m/(-3) - 5 - (-2)/2. Factor 0*g - 2/7*g**2 + y.
-2*g**2/7
Factor 17144/9*d + 36739592/9 + 2/9*d**2.
2*(d + 4286)**2/9
Let x(j) = 8*j**4 + 20*j**3 + 20*j**2 + 8*j - 4. Let h = -31 - -34. Let a(y) = h - 2 - 110*y**4 - y**3 + 109*y**4. Let l(i) = -4*a(i) - x(i). Factor l(b).
-4*b*(b + 1)**2*(b + 2)
Let u(m) be the third derivative of 4*m**7/35 - 403*m**6/120 - 17*m**5/10 + 97*m**4/8 - 17*m**3/3 - 1013*m**2. Solve u(a) = 0.
-1, 1/8, 2/3, 17
Let t(u) be the first derivative of -59 - 64/3*u - 16/3*u**4 - 13/15*u**5 - 148/9*u**3 - 1/18*u**6 - 80/3*u**2. Solve t(a) = 0.
-4, -2, -1
Let a(x) = -x - 1. Let m be a(-1). Let q be -312 - -297 - (-162)/9. Let 6/7*k**2 - 9/7*k + m - 1/7*k**q = 0. Calculate k.
0, 3
Let y = 198 - 196. Suppose 4*i**4 - 40 - 37*i**3 - 25*i**y - 31*i**3 - 24 + 85*i**2 + 0*i**3 + 68*i = 0. Calculate i.
-1, 1, 16
Let c(a) be the second derivative of -4*a**2 + 72*a**3 - 8*a + 3/5*a**5 - 9*a**4 - 1/60*a**6 + 0. Let l(i) be the first derivative of c(i). Solve l(z) = 0.
6
Determine g so that -1/6*g**4 - 22*g + 269/6*g**2 - 134/3 + 22*g**3 = 0.
-2, -1, 1, 134
Determine b, given that 671*b**3 + 672*b**3 - b**4 - 1344*b**3 = 0.
-1, 0
Let r be (-2)/(-33) + (-14651)/(-29601). Suppose -2*o - 7 = -13. Find j such that 1/9*j**5 + j**o + 2/9*j + r*j**4 + 0 + 7/9*j**2 = 0.
-2, -1, 0
Suppose -9*f + 33 = 6. Factor -21*v**4 + 16*v**2 - 70 + 90*v**f + 70 - 40*v**2.
-3*v**2*(v - 4)*(7*v - 2)
Let t be (-8)/(-52) + (-1782)/(-78). Let p be (-4)/((-16)/t) - 5. Factor 3/4*j**5 + 0*j**3 + 0 + 3/2*j**4 - p*j - 3/2*j**2.
3*j*(j - 1)*(j + 1)**3/4
Let b(i) be the first derivative of 8 + 0*i**6 + 17*i - 1/21*i**7 + 0*i**3 + 0*i**2 + 1/10*i**5 + 0*i**4. Let t(y) be the first derivative of b(y). Factor t(d).
-2*d**3*(d - 1)*(d + 1)
Let r(f) be the second derivative of 0*f**5 + 1/30*f**3 + 0*f**2 - 1/210*f**7 - 1/30*f**4 + 86*f + 1/75*f**6 + 0. Determine z so that r(z) = 0.
-1, 0, 1
Let i(c) be the second derivative of c**7/210 + c**6/50 - 17*c**5/100 + 3*c**4/20 + 8*c**3/15 - 6*c**2/5 - 2814*c. Determine p, given that i(p) = 0.
-6, -1, 1, 2
Let w(d) be the third derivative of -8*d**6/15 - 72*d**5/5 - 35*d**4/2 - 26*d**3/3 - 261*d**2 + 8. Factor w(y).
-4*(y + 13)*(4*y + 1)**2
Let l be (-2)/5*(0/(-6) + -10). Let -24 + 2*g - 12*g**2 + 7*g**2 + 3*g**2 + l*g**2 = 0. What is g?
-4, 3
Let v(n) be the third derivative of -n**7/210 + 13*n**6/120 - n**5/4 - 73*n**4/24 - 22*n**3/3 + 10*n**2 - 57*n. Factor v(t).
-(t - 11)*(t - 4)*(t + 1)**2
Let -11584 + 11344 - 755*i**3 + 592*i - 34*i**4 + 163*i**3 + 260*i**2 + 14*i**4 = 0. What is i?
-30, -1, 2/5, 1
Let r(c) be the third derivative of 0 + 131*c + 0*c**4 + 0*c**3 + 2*c**2 - 1/180*c**6 - 17/630*c**7 + 0*c**5. Factor r(u).
-u**3*(17*u + 2)/3
Let n(w) be the first derivative of -56/3*w**2 + 0*w + 12*w**3 + 87 + 1/3*w**4. Determine z, given that n(z) = 0.
-28, 0, 1
Let f = 1257 + -1255. Suppose f*c + 46*o = 47*o + 7, -5*c + 22 = -4*o. Suppose -2/3*p**c - 512/3 + 64/3*p = 0. What is p?
16
Let v be (-2 + 1)/((-36)/21908). Let h = v + -607. Solve 2/9*s**2 - h + 4/3*s = 0 for s.
-7, 1
Let p = -10886/19 - -21829/38. Solve -p*u**2 - 15/2 - 9*u = 0 for u.
-5, -1
Let r(w) be the third derivative of w**5/120 - 131*w**4/16 - 395*w**3/6 - 45*w**2 - 17*w. Factor r(v).
(v - 395)*(v + 2)/2
Let s(l) be the third derivative of l**5/150 + 31*l**4/60 + 66*l**3/5 + 2136*l**2. Factor s(z).
2*(z + 9)*(z + 22)/5
Let p be (670/(-40) + 15)/((-45)/36). Solve 12/5 + 44/5*t + t**2 - p*t**3 = 0.
-2, -2/7, 3
Let v(q) = q**4 + q**3 - 2*q**2 + q - 2. Let d(w) = 3*w**5 + 9*w**4 - 18*w**3 - 30*w**2 + 39*w - 6. Let m(b) = -d(b) + 3*v(b). Determine g so that m(g) = 0.
-3, -2, 0, 1, 2
Let z(u) be the second derivative of 1/19*u**4 + 5/57*u**3 - 1/19*u**2 + 2 - 28*u. Factor z(g).
2*(g + 1)*(6*g - 1)/19
Let g(b) be the first derivative of -3*b**5/100 - 21*b**4/20 - 147*b**3/10 - 1029*b**2/10 - 280*b - 216. Let f(o) be the first derivative of g(o). Factor f(w).
-3*(w + 7)**3/5
Suppose -h + 14 = 3*o, -3*h - h + o + 56 = 0. Suppose 4*c = h - 2. Factor 89*a**c + 21*a**5 - 15*a**3 + 7*a**3 - 39*a**2 - 69*a**4 + 6*a.
3*a*(a - 1)**3*(7*a - 2)
Factor -2/7*v**3 - 44/7*v**2 - 306/7*v - 648/7.
-2*(v + 4)*(v + 9)**2/7
Factor 258/5*k**2 - 2/5*k**3 + 3312/5*k + 10152/5.
-2*(k - 141)*(k + 6)**2/5
Let k = 1349 + -1349. Let d(u) be the third derivative of 2/105*u**7 + 1/6*u**4 - 1/15*u**5 + 0*u + k + 2*u**2 - 1/30*u**6 + 0*u**3. Factor d(s).
4*s*(s - 1)**2*(s + 1)
Let u = -10726 + 53356/5. Let x = u + 832/15. Factor 1/6*i + 1/6*i**5 + i**3 + 0 + x*i**4 + 2/3*i**2.
i*(i + 1)**4/6
Let b = -14 + 5. Let r be -1*(-5 - b/3). Factor -4*o**2 + 10*o**2 + 14*o**4 + 3*o**5 - o**2 + 20*o**3 + 3*o**r.
o**2*(o + 2)**2*(3*o + 2)
Let v(t) be the second derivative of -t**4/6 + 608*t**3/3 - 92416*t**2 + 74*t - 7. Factor v(k).
-2*(k - 304)**2
Let u(v) be the first derivative of -v**5/20 + 9*v**4/8 - 33*v**2/2 - v + 25. Let l(k) be the second derivative of u(k). Solve l(s) = 0 for s.
0, 9
Let v(u) be the first derivative of -u**6/30 + u**5/5 + u**4 - 16*u**3/3 - 87*u**2 - 215. Let q(g) be the second derivative of v(g). What is a in q(a) = 0?
-2, 1, 4
Let g be 444/(-555)*(-35)/98 - 34/(-28). Determine v so that g*v**3 - 3/2*v - 1/2*v**2 + 1 - 1/2*v**4 = 0.
-1, 1, 2
Let l be -5*(-4)/30 - (-928)/(-2436). Suppose -8/7*b**2 + l*b**3 + 6/7*b + 0 = 0. What is b?
0, 1, 3
Suppose m = 6*m - 3*u + 40, 32 = -4*m - 5*u. Let f(d) = 41*d + 330. Let r be f(m). Factor 8/5*x**r + 16/5*x + 0 - 7/5*x**3 + 1/5*x**4.
x*(x - 4)**2*(x + 1)/5
Find b such that -846*b**3 + 522*b**4 + 24*b**2 - 294*b**4 - 441*b**4 = 0.
-4, 0, 2/71
Suppose -53*o = 36*o + 7119 - 7386. Let 0 + 8/7*i**2 + 0*i - 6/7*i**o - 18/7*i**4 - 4/7*i**5 = 0. What is i?
-4, -1, 0, 1/2
Factor 575/4 - 1/4*y**2 - 287/2*y.
-(y - 1)*(y + 575)/4
Let b(y) be the first derivative of y**3/9 - 1000*y**2 + 3000000*y + 8561. Factor b(j).
(j - 3000)**2/3
Let t(w) = -w**3 - 2*w**2 + 3*w + 4. Let z be t(-3). Suppose -26 = 316*f - 329*f. Factor -6*o**3 - 9*o**4 - 15*o**4 + 45*o**4 - f*o**2 - 13*o**z.
2*o**2*(o - 1)*(4*o + 1)
Let m be (135/(-108))/((-2)/48 - 0). Let 79*q**2 - 40*q**4 - 14*q - 60*q**3 + 79*q - 5*q**5 + m - 69*q**2 = 0. What is q?
-6, -1, 1
Let z(i) be the third derivative of -9*i**6/40 + 217*i**5/60 - 55*i**4/3 + 8*i**3/3 - 1052*i**2. Factor z(q).
-(q - 4)**2*(27*q - 1)
Let r(o) = -6 - 1 + 3 + 12 - 6. Let s(a) = -5*a**2 + 2*a - 5. Suppose 0 = 2*f + 2*y - 48, 0 = -3*f + 4*y - 0*y + 44. Let g(u) = f*r(u) + 5*s(u). Factor g(h).
-5*(h - 1)*(5*h + 3)
Suppose 0 = -33*o + 30*o + 12, o = -4*l - 604. Let i = l + 152. Factor -1/5*f**4 + 1/5*f**2 + 1/5*f**3 - 1/5*f**5 + 0 + i*f.
-f**2*(f - 1)*(f + 1)**2/5
Let o(h) be the third derivative of -1/360*h**6 + 5/72*h**4 - 1/6*h**3 + 2*h**2 + 0 + 6*h - 1/180*h**5. Suppose o(k) = 0. Calculate k.
-3, 1
Solve 18/5 - 1/5*c**2 - 17/5*c = 0.
-18, 1
Suppose 5*r + 35 = 11*q - 7*q, -28 = 8*q + 4*r. Let y(n) be the first derivative of q*n + 1/15*n**3 + 10 + 0*n**2 + 1/20*n**4. Solve y(p) = 0.
-1, 0
Suppose 21 = w + 4*g, -2*w - 5*g + 30 = 3*w. Let q = w - -74. Solve 24 - 59*n - 55*n - 7*n - 11*n + 210*n**2 - q*n**3 = 0 for n.
2/5, 2
Let v(f) be the second derivative of 0*f**2 + 361/5*f**5 + 67*f + 19/3*f**4 + 1/6*f**3 + 0. Let v(s) = 0. Calculate s.
-1/38, 0
Factor 0*s - 24/5*s**2 + 0 + 112/5*s**3 - 10*s**5 - 22*s**4.
-2*s**2*(s + 3)*(5*s - 2)**2/5
Let k(w) be the first derivative of 3*w**5 - 2199*w**4/4 + 2586*w**3 - 2562*w**2 - 3432*w - 2484. Solve k(n) = 0 for n.
-2/5, 2, 143
Let w(i) be the first derivative of 26*i**2 - 3/40*i**6 + 1/5*i**5 + 0*i**3 - 1/8*i**4 + 0*i + 49. Let r(p) be the second deri