4 + 116*n**3 + 16*n**5 - 40*n**2 - 10*n**z - 41*n - 103*n + 54*n**4 - 32.
4*(n - 1)*(n + 2)**3*(4*n + 1)
Let x = -202 + 206. Factor 24*v**2 - 19*v**3 - 606*v**4 + 3*v**3 + 610*v**4 + x - 16*v.
4*(v - 1)**4
Factor -31/2*w**3 + 1/2*w**4 + 255/2*w**2 + 0 - 225/2*w.
w*(w - 15)**2*(w - 1)/2
Let o(m) be the first derivative of -3*m**5/10 - 27*m**4/8 + 571*m**3 - 9936*m**2 + 33024*m - 8683. Find h, given that o(h) = 0.
-43, 2, 16
Factor -205 - 198 - 16*z**4 - z**5 - 46*z + 3*z**3 + 67*z**2 - 7*z**4 + 403.
-z*(z - 1)**2*(z + 2)*(z + 23)
Suppose 3*m = 2 + 1. Let j be (22/55)/(-1*m/(-5)). Let -3*t**2 + 15*t**5 - 2*t**j - t**4 - t + 6*t**2 + 3*t - 17*t**3 = 0. Calculate t.
-1, -1/3, 0, 2/5, 1
Let w(i) = 3*i**2 - 2*i + 2. Let h be w(1). Let v be (0 - h) + 1 - (-2 - 3). Factor -74*j**3 + 73*j**v - j**2 + 2*j**2.
-j**2*(j - 1)
Suppose -7*n - 25 = 18*n. Let o(f) = -f**2 - f - 2. Let j(k) = -3 - 14*k**2 + 2*k**2 - 2*k - 1 - k**2. Let h(x) = n*j(x) + 3*o(x). Factor h(q).
(2*q - 1)*(5*q + 2)
Let w = 356111 - 3561103/10. Solve -3/5 + 0*o**2 + 1/10*o**3 - w*o = 0.
-2, -1, 3
Factor 2306*f**2 + 2420*f**2 - 195*f**4 - 3966*f**2 + 5*f**5 + 1240*f**2 + 1800*f**3.
5*f**2*(f - 20)**2*(f + 1)
Suppose -396*j + 23*j - 119*j + 984 = 0. Factor -8/7*v - 1/7*v**4 + 16/7 + 8/7*v**3 - 15/7*v**j.
-(v - 4)**2*(v - 1)*(v + 1)/7
Factor 432/5*z**2 + 3/5*z**3 + 0 + 15552/5*z.
3*z*(z + 72)**2/5
Suppose 2 = 3*k - 13. Suppose -3*l - 5 = k*u, -4*u - 4*l + 3 = 15. Factor -25 + 22*f**2 - 27*f**u + 15 + 15*f.
-5*(f - 2)*(f - 1)
Let w(v) be the second derivative of -v**4/138 + 11*v**3/23 - 140*v**2/23 - 956*v. Determine b, given that w(b) = 0.
5, 28
Let l(y) be the first derivative of 3*y**5/20 - 9*y**4/2 + 189*y**3/4 - 735*y**2/4 - 1440. Let l(r) = 0. What is r?
0, 7, 10
Suppose -2*u + 5 - 6 = -2*n + 5, 0 = -0*u + 2*u. Solve 3/2*o**n - 150 + 120*o + 57/2*o**2 = 0 for o.
-10, 1
Let x(a) be the second derivative of a**5/45 - 89*a**4/27 - 364*a**3/27 - 2*a + 162. Suppose x(m) = 0. Calculate m.
-2, 0, 91
Let f(j) = 36*j**3 - 264*j**2 + 1444*j - 8. Let z(m) = 49*m**3 - 352*m**2 + 1925*m - 11. Let g(d) = -11*f(d) + 8*z(d). What is i in g(i) = 0?
0, 11
Suppose -9828*p = -10451*p. Factor 1/6*x**5 + 0*x + 0*x**2 + 0*x**3 + p - 5/6*x**4.
x**4*(x - 5)/6
Let r be 2/(-14) + 79484/434. Factor -r*t - 129*t - 6*t**2 + 2*t**2.
-4*t*(t + 78)
Let w be (-2 + (-6)/(-3))/(-35 - -33). Let n(x) be the second derivative of 1/10*x**6 - 3*x**2 - 16*x - 3/2*x**3 + 1/4*x**4 + w + 9/20*x**5. Factor n(y).
3*(y - 1)*(y + 1)**2*(y + 2)
Factor -2/3*x**3 + 44*x + 62/3*x**2 + 0.
-2*x*(x - 33)*(x + 2)/3
Let b(t) be the second derivative of t**6/40 - 21*t**5/80 + 5*t**4/8 + 1016*t. Let b(u) = 0. Calculate u.
0, 2, 5
Suppose 0 = -4*k - 5*q - 0*q + 975, -3*q + 9 = 0. Factor 50 - 168 + 75*j**2 + k*j + 310.
3*(5*j + 8)**2
Let l be (-4)/5*(-90)/36. Suppose 3*b + l*g + 4 = -4, g + 4 = 4*b. What is p in 1/5*p**4 + b - 1/5*p**2 + 1/5*p**3 - 1/5*p = 0?
-1, 0, 1
Let h be 2/(-14) + 923/91. Suppose -5 + 10*p**2 + 7*p**5 + 40*p**3 - 12*p**5 - 35*p - 13 - 2 + h*p**4 = 0. What is p?
-1, 1, 4
Let j(r) be the first derivative of -r**7/1470 + r**6/105 - r**5/70 - r**4/21 + r**3/6 + 39*r**2 + 50. Let w(z) be the second derivative of j(z). Factor w(v).
-(v - 7)*(v - 1)**2*(v + 1)/7
Let d be 4/(835/570 - (-6)/(-4)). Let y = 116 + d. Find m such that 8 + 12*m**2 + 4*m**y + 3*m - 39*m = 0.
1/4, 2
Factor -1/2*c + 1/2*c**4 + 0 + 1/4*c**2 + 5/4*c**3.
c*(c + 1)*(c + 2)*(2*c - 1)/4
Let h = 411 + -100. Let v = h - 1243/4. Solve -1/4*x - v*x**2 + 1/2 = 0 for x.
-2, 1
Let k be 23 + 10 - 1674/54. Solve -4/3 - 16/3*w**k - 20/3*w = 0 for w.
-1, -1/4
Let x(j) be the third derivative of 1/5*j**5 - 2*j + 10*j**2 + 1/60*j**6 + 0*j**3 + 2/3*j**4 + 0. Suppose x(o) = 0. What is o?
-4, -2, 0
Let s(y) = -44*y**2 + 2*y + 13*y**2 + 10*y**2 + 9*y**2 + 15*y**2. Let a be s(0). What is r in 1/2*r**4 + 1/2*r**5 - 1/2*r**3 + 0 + a*r - 1/2*r**2 = 0?
-1, 0, 1
Let f(l) = -41 + 5*l - 108 - 110 + 41. Let p be f(44). Find h, given that -9/4*h**3 - 9/2*h**p - 15/4*h - 3/8*h**4 - 9/8 = 0.
-3, -1
Let c = -776 - -206. Let x = c - -573. Factor 0*z - 3/4*z**4 + 9/4*z**x + 0*z**2 + 0.
-3*z**3*(z - 3)/4
Suppose -3*f = -3, 2*y + 4*f - 28 + 0 = 0. Let m = -12 - -17. Find h, given that h**3 - 8*h + 3*h**3 + 10*h**4 - y*h**2 - 22*h**m + 26*h**5 + 2*h**4 = 0.
-2, -1, 0, 1
Let z be (-4)/(-1) - (186 + -182). Let l(g) be the second derivative of -1/24*g**4 + z + 5/3*g**3 + 24*g - 25*g**2. Determine n, given that l(n) = 0.
10
Let z(c) be the second derivative of -2/15*c**6 + 2/21*c**7 + 0 + 44*c + 0*c**2 + 16/3*c**3 - 6/5*c**5 + 4/3*c**4. Factor z(g).
4*g*(g - 2)**2*(g + 1)*(g + 2)
Let f(q) = 17*q**2 - 1504*q - 570025. Let b(n) = 20*n**2 - 1503*n - 570025. Let p(y) = 6*b(y) - 7*f(y). Factor p(i).
(i + 755)**2
Let b = -100 - -24. Let t be -5 + b/(-14) - 22/(-14). Factor -4*q**4 + 31*q - 20*q**3 - q**2 + 5*q**t - 11*q.
-4*q*(q - 1)*(q + 1)*(q + 5)
Let x(m) be the first derivative of -1/2*m**4 - 1/6*m**3 - 12 + 0*m + 3/4*m**2. Factor x(o).
-o*(o + 1)*(4*o - 3)/2
Suppose 3*u = -0*u - 4*v + 13, u - 3*v = 0. Factor 0*q**2 + 8*q + 14989*q**3 + 4*q**2 - 14993*q**u.
-4*q*(q - 2)*(q + 1)
Let y be (11/((-165)/50))/((-2)/219). Suppose 4*q - 137 = -f - 21, y = 3*f - 5*q. Suppose -f - 311 - 5*c**2 - 174 + 110*c = 0. Calculate c.
11
Let q be ((-10920)/(-9450))/(1/78). Suppose 0 + q*o**4 + 416/5*o**3 + 2/15*o - 34/5*o**2 = 0. Calculate o.
-1, 0, 1/26
Let x(l) = 3*l**4 + 2*l**3 - 129*l**2 + 2*l. Let u(c) = 11*c**4 + 9*c**3 - 518*c**2 + 9*c. Let m(h) = -2*u(h) + 9*x(h). Factor m(s).
5*s**2*(s - 5)*(s + 5)
Let g(y) be the second derivative of 39*y**4/4 - 545*y**3/2 - 21*y**2 + 369*y - 6. Factor g(c).
3*(c - 14)*(39*c + 1)
Let u(f) be the third derivative of -88*f**2 + 0*f + 1/80*f**5 + 7/32*f**4 - f**3 + 0. Suppose u(r) = 0. What is r?
-8, 1
Suppose 0*i = -4*a + 4*i + 20, 5*a - 25 = -2*i. Determine t, given that -22*t**2 + 12*t**2 + 45*t + a*t**2 = 0.
0, 9
Let r(x) = 3*x**3 + x**2 + 10*x + 10. Let m(z) = 3*z**3 + 2*z**2 + 11*z + 10. Let d(y) = 2*m(y) - 3*r(y). Let u be d(-3). Factor -u*f + f**2 + 54*f + 6 + 57*f.
(f + 1)*(f + 6)
Let b(j) be the first derivative of -1/3*j**2 + 2/5*j**5 + 2/9*j**6 - 2 + 0*j - 2/3*j**3 - 1/6*j**4. Determine i, given that b(i) = 0.
-1, -1/2, 0, 1
Suppose i = 3*k - 41, 7*i = -4*k + 2*i + 80. Let v be (-98)/(-70) - 9/k. Determine t so that 8/5*t**2 - v*t**3 - 8/5*t**4 + 0*t + 0 + 4/5*t**5 = 0.
-1, 0, 1, 2
Let u = 10235/15414 - -41/15414. Factor 4/3*s + 0 - u*s**3 + 2/3*s**2.
-2*s*(s - 2)*(s + 1)/3
Let h be (3*(-24)/4)/((-1)/1). Let o(c) = -c + 23. Let j be o(h). Suppose 2*n**2 - 9 + n**4 + 9 + j*n**3 - 2*n**3 = 0. What is n?
-2, -1, 0
Suppose -27*k = -66*k - 47*k. Let a(g) be the third derivative of g**2 + k*g + 0 - 1/3*g**3 - 2/3*g**4 - 8/15*g**5. Factor a(j).
-2*(4*j + 1)**2
Let g(v) = -v**2 - 57*v - 43. Let o be g(-13). Let p = -527 + o. Determine s so that 0*s**3 + 16/13*s + 6/13 - 2/13*s**4 + 12/13*s**p = 0.
-1, 3
Let w(h) be the first derivative of 0*h**2 + 2/27*h**3 + 35 - 2/9*h. Factor w(j).
2*(j - 1)*(j + 1)/9
Factor 0*f**3 - 2719*f**2 + 2618*f**2 - 98*f + 21 - f**3 + 179.
-(f - 1)*(f + 2)*(f + 100)
Let b(k) = -2571*k + 10288. Let o be b(4). Solve 1/2*a**o + 0 - 1/4*a**3 + 0*a + 0*a**2 = 0.
0, 1/2
Let m(j) be the second derivative of -7*j**5/110 + 146*j**4/33 - 476*j**3/33 - 160*j**2/11 + 1458*j. Find l such that m(l) = 0.
-2/7, 2, 40
Suppose 0 = v - 3*k - 57, -4*k = -30150*v + 30154*v + 60. Determine w so that 9/2*w + 69/4*w**2 + 25/4*w**4 + 20*w**v + 0 = 0.
-2, -3/5, 0
Let h(k) be the second derivative of -1/16*k**4 + 2 - 5/12*k**3 + 1/80*k**5 + 0*k**2 - 5*k. Find a, given that h(a) = 0.
-2, 0, 5
Let g(l) = l**3 + 126*l**2 - 259*l - 384. Let w be g(-128). Factor w*j + 4/3*j**2 - 16/3*j**3 + 7/3*j**4 + 0.
j**2*(j - 2)*(7*j - 2)/3
Let f(r) be the second derivative of 3 + 0*r**2 + 1/4*r**5 - 40*r - 20/3*r**4 + 160/3*r**3. Factor f(q).
5*q*(q - 8)**2
Let g = -452/143 + 3215/429. Let 8/3*r**2 + 1/3*r**3 + 2 + g*r = 0. Calculate r.
-6, -1
Factor -207/2*h - 87/2*h**2 - h**3 - 41.
-(h + 2)*(h + 41)*(2*h + 1)/2
Let 8/5*r**3 - 318/5*r**2 - 5054/5 + 684*r = 0. Calculate r.
7/4, 19
Let s(l) = -22*l**4 + 164*l**3 - 1751*l**2 + 1618*l + 9. Let z(n) = -2*n**4 + n**2 + 2*n + 1. Let f(d) = s(d