4*c - 3057. Factor l(b).
-(b - 11)*(b + 4)**2/4
Let n(z) be the second derivative of 8*z**6/75 - 39*z**5/25 - 34*z**4/5 - 142*z**3/15 - 24*z**2/5 + 3144*z + 2. Determine t so that n(t) = 0.
-1, -1/4, 12
Let u(l) be the second derivative of -l**6/1440 + 7*l**5/480 - 137*l**3/6 - 59*l. Let c(k) be the second derivative of u(k). Let c(f) = 0. Calculate f.
0, 7
Let d = -2292 - -2296. Let o(p) be the second derivative of -5/84*p**7 + 0*p**3 + 1/24*p**5 + 1/18*p**6 + 0*p**2 + 0*p**d + 0 - 7*p. Solve o(c) = 0.
-1/3, 0, 1
Let f be (-2 - (-24)/10 - 0) + 61/(-244). Let u(n) be the second derivative of -11*n + 0 - 1/4*n**4 - f*n**5 + n**3 + 0*n**2. Factor u(w).
-3*w*(w - 1)*(w + 2)
Suppose -1140 = -52*k - 152. Suppose 0 = k*i - 53 + 15. Factor -2/3*b + 2/3*b**i + 2/3*b**3 - 2/3.
2*(b - 1)*(b + 1)**2/3
Factor 4503/5*l + 75 + 13536/5*l**2 + 108/5*l**3.
3*(l + 125)*(6*l + 1)**2/5
Let a = 438579 - 438577. Suppose -9/2*k**4 + 3*k**3 + 0*k**a + 0*k + 3/2*k**5 + 0 = 0. Calculate k.
0, 1, 2
Let d(r) = 5*r**4 - 18*r**3 - 100*r**2 + 132*r + 326. Let p(s) = 45*s**4 - 160*s**3 - 900*s**2 + 1190*s + 2935. Let i(q) = -55*d(q) + 6*p(q). Factor i(z).
-5*(z - 8)*(z - 2)*(z + 2)**2
Let k(f) be the first derivative of 5*f**4/12 - 25*f**3/6 + 15*f**2 + 117*f + 1. Let i(r) be the first derivative of k(r). Suppose i(o) = 0. Calculate o.
2, 3
Solve c**4 - 406/9*c + 242/3*c**3 - 9 - 248/9*c**2 = 0 for c.
-81, -1/3, 1
Determine s so that 50*s + 8*s**5 - 9*s**3 + 50*s + 5*s**2 - s**5 - 98*s - 5*s**4 = 0.
-1, -2/7, 0, 1
Let p be 65 - -2 - (-7)/(-1). Let w be (-2 + p/3)/(442/34). Factor -2/13*h**3 + w*h + 10/13 + 6/13*h**2.
-2*(h - 5)*(h + 1)**2/13
Let w(d) = 463*d**2 + 2 + 23*d + 4 - 452*d**2 - 1. Let k(f) = 6*f**2 + 12*f + 2. Let h = 6 + -13. Let s(t) = h*k(t) + 4*w(t). Determine u so that s(u) = 0.
-3, -1
Let x be ((-3)/(-30))/((1435/210)/41). Find l such that -4/5*l + 1/5 + x*l**2 = 0.
1/3, 1
Let s(z) be the first derivative of z**3 - 108*z**2 + 3654. Determine f so that s(f) = 0.
0, 72
Let m(l) = l**3 - 5*l**2 - 5*l - 1. Let i be m(6). Suppose -3*x = -3*d + 11 + 7, 4*x = -2*d + 6. Factor -2*y - 6*y**3 - d*y**5 + 8*y**i + 5*y.
3*y*(y - 1)**2*(y + 1)**2
Factor -50/7*x**2 - 136/7*x**3 - 4/7*x + 0.
-2*x*(4*x + 1)*(17*x + 2)/7
Let d(t) be the first derivative of 5/3*t**3 - 85 - 120*t - 25/2*t**2. Suppose d(p) = 0. What is p?
-3, 8
Let r = 7591/21 + -2528/7. Let p(a) be the second derivative of r*a**4 - 10*a - 2/5*a**5 + 0 - 1/42*a**7 + 1/6*a**6 + 0*a**3 + 0*a**2. Factor p(s).
-s**2*(s - 2)**2*(s - 1)
Let f(l) = -4*l**2 - 1496*l + 552054. Let j(a) = -a**2 - 2*a + 1. Let y(w) = f(w) - 5*j(w). Solve y(i) = 0 for i.
743
Suppose 3 = -3*g + 9. Suppose 264*t - 24*t**2 - 4356 + 17*t**g + 3*t**2 = 0. What is t?
33
Let o = -352814 + 2474698/7. Suppose 200/7*p - o - 2/7*p**2 = 0. Calculate p.
50
Let 1749*x**3 + 28*x**4 + 6058 + 60*x**4 + 2668*x + x**5 + 7828 - 1190 - 8366*x**2 = 0. Calculate x.
-46, -1, 2, 3
Let g(o) be the third derivative of -o**9/9072 + o**7/840 - o**6/540 + 53*o**3/6 + 27*o**2 + 3. Let u(s) be the first derivative of g(s). Factor u(w).
-w**2*(w - 1)**2*(w + 2)/3
Let s(c) = -4*c**4 - 27*c**3 - 367*c**2 - 1214*c - 5. Let w(j) = -j**4 - j**3 + j**2 + 2*j - 1. Let b(y) = -s(y) + 5*w(y). Determine x so that b(x) = 0.
-6, 0, 34
Let m(d) be the second derivative of d**6/80 - 21*d**5/160 + 7*d**4/32 + 15*d**3/16 - 9245*d. Determine a so that m(a) = 0.
-1, 0, 3, 5
Let v(y) be the second derivative of y**6/6 - 87*y**5/2 + 2615*y. Factor v(i).
5*i**3*(i - 174)
Let b(c) = -77 - c**2 + 7 - 9*c - 5 + 41*c. Let r(s) be the first derivative of -3*s**3 + 321*s**2/2 - 750*s - 51. Let f(w) = -21*b(w) + 2*r(w). Solve f(q) = 0.
5
Let r be -2 - ((-8)/(-6) - 636/180). Let z(i) be the first derivative of -9/5*i - 3/20*i**4 - r*i**3 - 15 + 3/2*i**2. Find b, given that z(b) = 0.
-3, 1
Factor 476100/7 + 2760/7*y + 4/7*y**2.
4*(y + 345)**2/7
Factor -264 - 362*z + 3*z**2 + 1519*z - 407*z - 489*z.
3*(z - 1)*(z + 88)
Find r, given that 5907/4 + 2955/2*r + 3/4*r**2 = 0.
-1969, -1
Let k = 464375 + -1393124/3. Suppose -52/3*q**3 - 3888 + 288*q**2 - 1296*q + k*q**4 = 0. Calculate q.
-2, 18
Let k(b) = 6*b**3 + 2*b**2 - b + 1. Let f(l) = 9*l**3 - 109*l**2 - 290*l + 542. Let h(z) = 4*f(z) - 12*k(z). Suppose h(o) = 0. Calculate o.
-7, 11/9
Let g(q) be the first derivative of 3*q**6 + 12*q**5 - 34*q**4 + 68*q**3/3 - 5*q**2 + 4468. Find u, given that g(u) = 0.
-5, 0, 1/3, 1
Factor -98/5*w - 2/5*w**2 - 88.
-2*(w + 5)*(w + 44)/5
Let h(b) be the second derivative of 7*b**2 - 1/20*b**6 + 0 - 5*b + 1/3*b**4 - 2/15*b**5 + 0*b**3. Let v(j) be the first derivative of h(j). Solve v(a) = 0.
-2, 0, 2/3
Let s(b) be the third derivative of -5/8*b**4 + 1/10*b**7 + 0 - 11/20*b**5 + 44*b**2 + 2*b**3 + 0*b + 7/40*b**6 - 1/56*b**8. Solve s(w) = 0 for w.
-1, 1/2, 1, 4
Let g = -1831 + 1839. Let h(t) be the third derivative of 1/4*t**6 - 2*t**2 - 5/336*t**g + 0 + 0*t + 7/6*t**5 + 5/2*t**3 - 1/42*t**7 + 55/24*t**4. Factor h(i).
-5*(i - 3)*(i + 1)**4
Let w be 111/(-74)*(-3 - (3 + -4)). Let t be ((-18)/w)/(264/(-32)). Determine r so that 6/11*r - 14/11 + t*r**2 = 0.
-7/4, 1
Let r(g) be the third derivative of g**6/160 - 123*g**5/5 + 30258*g**4 + 156*g**2. Factor r(w).
3*w*(w - 984)**2/4
Let z(d) = 15*d + 159. Let a be z(-37). Let p be (-209)/a - (-4)/18. Suppose p*i**2 - 9/2*i - 21/4 = 0. What is i?
-1, 7
Let l(y) = 30*y + 1892. Let n be l(-63). Let z(m) be the third derivative of -1/30*m**5 + 0 + 0*m - 15*m**n + 2/3*m**4 - 16/3*m**3. Factor z(d).
-2*(d - 4)**2
Suppose 688/5*t - 156/5*t**3 + 1096/5*t**2 - 4/5*t**5 - 184/5*t**4 - 288 = 0. Calculate t.
-45, -2, 1, 2
Let f(d) be the first derivative of -d**5 + 131/16*d**4 + 0*d + 24*d**2 + 1/24*d**6 + 189 - 76/3*d**3. Factor f(p).
p*(p - 8)**2*(p - 3)*(p - 1)/4
Let i(h) be the second derivative of -1/2*h**2 - 5/18*h**3 - 1/36*h**4 + 1/60*h**5 - 174*h + 0. Factor i(n).
(n - 3)*(n + 1)**2/3
Let d(c) = 1 + 98547*c**3 + c**4 - 98547*c**3. Let j = 0 - 3. Let k(b) = b**5 - 7*b**4 - 3*b**3 - 5*b**2 - 2*b - 8. Let p(z) = j*k(z) - 24*d(z). Factor p(r).
-3*r*(r - 2)*(r + 1)**3
Suppose 448/3 - 121/3*t**3 + 341*t**2 - 432*t = 0. What is t?
8/11, 7
Let b(q) be the third derivative of q**5/20 - 105*q**4/4 + 209*q**3/2 - 3147*q**2. Factor b(v).
3*(v - 209)*(v - 1)
Find j, given that -64/5*j**3 - 12*j**2 + 3136/5*j - 4/5*j**4 + 12544/5 = 0.
-8, -7, 7
Let r(x) be the second derivative of 61*x - 2 - 2/35*x**5 - 2/7*x**2 + 3/28*x**4 - 1/42*x**6 + 4/21*x**3. Suppose r(o) = 0. What is o?
-2, -1, 2/5, 1
Let i(a) = a**3 - 42*a**2 + 80*a + 60. Let p be i(40). Determine j so that 0*j**3 - p*j**2 - 100 + 72*j - 4*j**3 + 16*j**2 - 212*j = 0.
-5, -1
Let m(j) = 5*j**2 + 1325*j + 1495. Let u(h) = -5*h**2 - 1325*h - 1460. Let z(p) = -4*m(p) - 5*u(p). Factor z(c).
5*(c + 1)*(c + 264)
Suppose -6*q**2 - q**4 + 254*q - 118*q - 192 + 10*q**2 - 10*q**3 = 0. What is q?
-8, -6, 2
Suppose 5*y - 5*i - 24 = -8*i, -3*i - 3 = -4*y. Suppose -4*b + 15 + 1846*b**y + 237 + 56*b**2 - 308*b**2 - 1842*b**3 = 0. What is b?
-1, 1, 63
Suppose 0 = -5*t + 5*u + 5, -5*t + 3*u + 4 + 9 = 0. Let s = -1050 + 1055. Suppose -20 + s*g**3 + t*g**2 + 30 - 10 = 0. Calculate g.
-1, 0
Let q(z) = 5*z**2 - 255*z - 85. Let m(l) = 2*l**2 + l. Let p(r) = -5*m(r) - q(r). Factor p(g).
-5*(g - 17)*(3*g + 1)
Let v(w) = -w**3 + 26*w**2 - 46*w - 45. Let b be v(24). Suppose 0 = b*y + 8*y. Let y + 0*c**3 + c - 1/2*c**4 + 3/2*c**2 = 0. Calculate c.
-1, 0, 2
Factor -703/5*l + 1/5*l**3 - 10108/5 + 2*l**2.
(l - 28)*(l + 19)**2/5
Let n(w) be the third derivative of -2*w**7/315 + w**6/45 + w**5/15 - 4*w**4/9 + 8*w**3/9 + 294*w**2. Determine x, given that n(x) = 0.
-2, 1, 2
Factor -20*f + 220*f + 16 + 855*f**2 - 230*f**2.
(25*f + 4)**2
Let g(f) be the first derivative of -f**5 + 30*f - 25/4*f**4 - 25/3*f**3 + 25/2*f**2 - 45. Find p, given that g(p) = 0.
-3, -2, -1, 1
Let l be (-26)/(-24)*(-83 + 14092/169). Factor 2/3*d - 1 + l*d**2 - 1/12*d**3.
-(d - 6)*(d - 1)*(d + 2)/12
Suppose 28 = v + 23. Let z(f) be the second derivative of 0*f**2 + 15*f + 4/135*f**6 + 0*f**3 + 0*f**4 + 1/189*f**7 + 2/45*f**v + 0. Factor z(w).
2*w**3*(w + 2)**2/9
Find j, given that 3*j**5 + 465*j**4 + 65 + 3*j + 12*j**2 - 6*j**3 - 71 - 471*j**4 = 0.
-1, 1, 2
Let m(v) = -v**3 - v**2 + v + 1. Let z(l)