-180) + (-37)/333). Factor 1/8*n + 1/8*n**2 - 1/8*n**x + 0 - 1/8*n**3.
-n*(n - 1)*(n + 1)**2/8
Let c(b) = -2*b**3 - 30*b**2 - 2*b + 34. Let w(q) = -q**3 - 10*q**2 - q + 12. Let v be 51/(-3)*(-5 + 6). Let t(y) = v*w(y) + 6*c(y). Factor t(h).
5*h*(h - 1)**2
Let n(b) = b**3 - 12*b**2 + b - 12. Let k be n(12). Let r be k + -9*4/(-12). Factor -2*p**2 + 15*p**r - 4*p**4 + 5*p**3 - 9*p**2 - 36*p - p**2.
-4*p*(p - 3)**2*(p + 1)
Let w(x) be the first derivative of -2*x**3/15 - 15*x**2 + 2492*x/5 - 963. Factor w(q).
-2*(q - 14)*(q + 89)/5
Let s(x) be the first derivative of -33 + 1/6*x**3 - 3/4*x**2 - 2*x. Determine u so that s(u) = 0.
-1, 4
Let n(f) be the first derivative of 0*f**5 + 62 - 1/2*f**6 - 6*f**2 + 0*f + 0*f**3 + 15/4*f**4. Solve n(j) = 0 for j.
-2, -1, 0, 1, 2
Suppose 8*k - 10*k = k - 13*k + 30. Factor -1/2*s**4 + 45*s + 51/2*s**2 + 0 + 2*s**k.
-s*(s - 10)*(s + 3)**2/2
Let z(t) be the third derivative of t**8/1344 - t**7/42 - 23*t**6/120 - 2*t**5/5 + 843*t**2. Factor z(n).
n**2*(n - 24)*(n + 2)**2/4
Let m = -38 - -44. Let a(i) be the third derivative of -2/15*i**5 + 0*i**3 + 0*i + 0 - 1/4*i**4 + 2*i**2 + 7/60*i**m. Factor a(j).
2*j*(j - 1)*(7*j + 3)
Determine k, given that 8/11*k**4 - 68/11*k**2 + 144/11 + 120/11*k + 2/11*k**5 - 38/11*k**3 = 0.
-6, -2, -1, 2, 3
Let q(w) be the first derivative of w**4/8 - 1379*w**3/3 + 5513*w**2/4 - 1378*w - 7609. Let q(p) = 0. Calculate p.
1, 2756
Let o(q) = -2*q**5 - q**3 - q**2 + 2*q. Let l(j) = -12*j**5 - 28*j**4 + 83*j**3 + 105*j**2 - 378*j. Let t(w) = -l(w) + 7*o(w). Let t(c) = 0. What is c?
-2, 0, 2, 7
Let o(a) be the first derivative of -2*a**3/15 - 2022*a**2/5 - 873. Factor o(c).
-2*c*(c + 2022)/5
Suppose -72*p**2 - 354*p - 7*p**3 + 355*p + 6*p**3 + 72 = 0. What is p?
-72, -1, 1
Let f(i) be the third derivative of -i**5/48 + 265*i**4/16 - 395*i**3/3 - 661*i**2. Factor f(u).
-5*(u - 316)*(u - 2)/4
Suppose 5 = 3*l - 1. Suppose -8 = 2*f - 3*g, 2*f + 0*f = 5*g - 16. Factor 6*c**f - 4*c - 6*c**l + 4*c**3.
4*c*(c - 1)*(c + 1)
Let v(b) = -283*b**2 + 449*b + 2348. Let s(t) = -81*t**2 + 150*t + 783. Let g(k) = -7*s(k) + 2*v(k). Suppose g(f) = 0. Calculate f.
-5, 157
Let w(z) = -z**3 - 20*z**2 + 76*z + 164. Let i be w(-23). Let c(b) be the first derivative of 4/7*b**i - 1/7*b**4 + 0*b + 1 - 4/7*b**2. Factor c(s).
-4*s*(s - 2)*(s - 1)/7
Let a(d) = 2*d**2 + 6*d + 57. Let f be (-2)/((26 + 4)/(-5))*6. Let b(z) = -2*z + 1. Let i(s) = f*a(s) - 14*b(s). Factor i(w).
4*(w + 5)**2
Let c(u) = -6*u**3 - 8*u**2 + 50*u - 42. Let w be (-84)/588 - (8/(-7) + 2). Let d(t) = -t**3 - t - 1. Let r(p) = w*c(p) + 2*d(p). Find f, given that r(f) = 0.
-5, 1, 2
Let g(m) be the third derivative of -2*m**8/21 - 52*m**7/105 + m**6/2 - 1411*m**2 + 3. Solve g(t) = 0.
-15/4, 0, 1/2
Find j such that 31*j**5 - 5670*j**4 + 74*j**5 - 8244*j + 1296 + 9624*j**2 - 107*j**5 + 8192*j**3 + 5155*j**3 + 149*j**5 = 0.
-1, 2/7, 3, 36
Suppose 45*x + 153 - 558 = -225. Let c(f) be the third derivative of 1/270*f**5 - 18*f**2 + 0 + 25/27*f**3 + 0*f + 5/54*f**x. Factor c(i).
2*(i + 5)**2/9
Let i(p) = 2*p**2 - p. Suppose 327 - 197 = 13*d. Let s(y) = 2*y**3 - 16*y**2 - 15*y. Let z(m) = d*i(m) + 2*s(m). Let z(o) = 0. What is o?
-2, 0, 5
Let h(p) = 27*p**4 - 23*p**3 + 90*p**2 - 99*p + 45. Let g(o) = 16*o**4 - 11*o**3 + 45*o**2 - 49*o + 23. Let c(n) = -5*g(n) + 3*h(n). Factor c(b).
(b - 10)*(b - 2)*(b - 1)**2
What is r in -1/4*r**5 - 7*r - 196*r**2 + 260 - r**4 + 281/4*r**3 = 0?
-20, -1, 2, 13
Let u(k) be the third derivative of -k**6/780 - 764*k**5/65 - 583696*k**4/13 - 3567549952*k**3/39 + k**2 + 92*k + 21. Solve u(o) = 0 for o.
-1528
Let c(n) be the second derivative of -n**7/42 - 2*n**6/5 - 3*n**5/5 + 59*n**4/6 - 49*n**3/2 + 27*n**2 - 938*n. Factor c(l).
-(l - 1)**3*(l + 6)*(l + 9)
Let r(z) be the first derivative of -9/4*z**2 - 247 - 1/16*z**4 + 0*z - 11/12*z**3. Solve r(h) = 0 for h.
-9, -2, 0
Suppose 15 = 27*k - 26*k. Suppose 0 = 8*i - 25 - k. Solve z**3 + 1/3*z**2 - 1/3*z**4 - 2/3*z - 1/3*z**i + 0 = 0.
-2, -1, 0, 1
Let j = 275613/4 + -68903. Suppose j*s**2 - 3/4*s + 0 = 0. What is s?
0, 3
Let i(q) be the first derivative of -125*q**4 + 1520/3*q**3 + 1280*q - 1120*q**2 + 109 + 16*q**5 - 5/6*q**6. Factor i(v).
-5*(v - 4)**3*(v - 2)**2
Let r be 0/(84/11 + (-56)/(-154)). Determine x so that -33/4*x + r - 3/4*x**2 = 0.
-11, 0
Find f such that 4/7*f**3 + 3508/7*f**2 - 1754/7 - 1754/7*f**4 - 2/7*f**5 - 2/7*f = 0.
-877, -1, 1
Let h be 55/28 - 1/4. Let i be ((-90)/(-435))/((-4263)/(-23548)). Solve 1/7*o**4 + h - 4*o + 23/7*o**2 - i*o**3 = 0 for o.
1, 2, 3
Let g(x) be the second derivative of x**5/130 - x**4/78 - 82*x**3/39 - 80*x**2/13 - 3*x + 1771. Factor g(d).
2*(d - 10)*(d + 1)*(d + 8)/13
Suppose 3*b + 50 - 59 = -5*f, -15 = -5*b + 3*f. Let d(h) be the first derivative of 3*h**2 + 7 - 2/3*h**b + 0*h. Find v, given that d(v) = 0.
0, 3
Suppose -5*i + 0 + 5 = 5*n, -n = 2*i + 2. Suppose 4*t - z + 1 = 5*t, -n*t + z = -9. Factor -27*o + t*o + 5*o - 20 - 5*o**2.
-5*(o + 2)**2
Let j be (-1 - 5)*1001/(-2002). Factor 48/5 - 672/5*v + 3267/5*v**4 - 5544/5*v**j + 3144/5*v**2.
3*(3*v - 2)**2*(11*v - 2)**2/5
Let k(c) be the second derivative of -2/15*c**5 - 2 + 6*c**2 - 8/3*c**3 - 11/9*c**4 - 7*c. What is w in k(w) = 0?
-3, 1/2
Let p(i) = 5*i**2 + 2*i. Let o be p(-2). Let g be -3*1*15/(-9). Factor 10*b**5 + 10*b**5 + 8*b**4 - 4*b - o*b**g - 8*b**2.
4*b*(b - 1)*(b + 1)**3
Suppose -4*u = -a - 542 - 330, -2*a - 1762 = -2*u. Let p = a - -886. Factor 1/7*m**p - 6/7*m + 5/7.
(m - 5)*(m - 1)/7
Let t(d) be the third derivative of 0*d - 43*d**2 + 11/3*d**4 + 0 - 3/35*d**7 + 49/30*d**5 - 4*d**3 - 4/15*d**6. Let t(n) = 0. Calculate n.
-3, -1, 2/9, 2
Suppose -97*r + 136734 = 19267. Let u = r - 1208. Let -u + 5/2*f - 1/2*f**2 = 0. What is f?
2, 3
Let c = 146 + -114. Let u be (1/(-18))/((-4)/c). Factor -2/9*d**3 + 2/9*d + 4/9 - u*d**2.
-2*(d - 1)*(d + 1)*(d + 2)/9
Find w, given that -2/3*w**5 + 0 - 116/3*w**4 + 0*w - 1682/3*w**3 + 0*w**2 = 0.
-29, 0
Let d(h) = h**2 + 15*h - 99. Let w be d(-20). Let j(o) = 9*o**2 + 25*o + 8. Let q(s) = 5*s + 1. Let i(v) = w*j(v) + q(v). Factor i(a).
3*(a + 3)*(3*a + 1)
Let p(b) be the second derivative of 3*b**5/20 - b**4/2 - 130*b**3 + 2700*b**2 + 1920*b. Factor p(j).
3*(j - 10)**2*(j + 18)
Let o(q) be the first derivative of -q**5/25 + 21*q**4/10 - 31*q**3 + 404*q**2/5 - 384*q/5 + 36. Determine z so that o(z) = 0.
1, 16, 24
Let y = -57 + 63. Suppose -l = y*l - 560. Determine i so that 0 + 15 + 20*i**3 + 10 - 85*i**2 - l*i = 0.
-1, 1/4, 5
Let h(i) be the third derivative of i**7/2520 - i**6/80 + 19*i**5/240 - i**4/36 - 7*i**3/6 + 664*i**2. What is n in h(n) = 0?
-1, 2, 3, 14
Let u be 820/180 - 1 - 11/(594/(-24)). Factor 1/9*f**3 + 5/9*f**2 + 1/3*f + 0 - 1/9*f**u.
-f*(f - 3)*(f + 1)**2/9
Let k(b) be the first derivative of -2*b**3/9 + 11*b**2 - 124*b/3 - 2455. Factor k(r).
-2*(r - 31)*(r - 2)/3
Let b(y) be the first derivative of 2*y**5/25 + 49*y**4/20 - 63*y**3/5 + 97*y**2/5 - 56*y/5 - 594. Find r such that b(r) = 0.
-28, 1/2, 1, 2
Let p(j) be the third derivative of -j**5/60 + 1909*j**4/12 - 3644281*j**3/6 + 4587*j**2. What is z in p(z) = 0?
1909
Suppose -13*o = -5*o + 4912. Let z = o - -1263/2. Factor -z*m**4 + 5*m + 0 - 55/2*m**2 + 40*m**3.
-5*m*(m - 1)**2*(7*m - 2)/2
Let n(f) be the second derivative of -55*f**8/336 - 10*f**7/21 + f**6/6 + 155*f**2/2 - 91*f. Let k(j) be the first derivative of n(j). Factor k(p).
-5*p**3*(p + 2)*(11*p - 2)
Let a(p) be the first derivative of -p**4/26 - 112*p**3/39 - 68*p**2 - 416*p + 7955. Factor a(g).
-2*(g + 4)*(g + 26)**2/13
Let a = 60 + -41. Suppose 21*h = a*h + 64. Determine j, given that -j**5 - h*j**3 + 18 - 6*j - 19/2*j**4 - 83/2*j**2 = 0.
-3, -2, 1/2
Let k(b) = 5*b**2 - 2125*b - 1132099. Let z(v) = -3*v**2 + 2126*v + 1132098. Let p(y) = -2*k(y) - 3*z(y). Factor p(r).
-(r + 1064)**2
Let c(z) = -6*z + 38. Let r be c(7). Let b(k) = -5*k - 16. Let u be b(r). Find t such that -t**3 + 48*t**4 + 4*t**2 - t**3 - 52*t**u + 2*t = 0.
-1, -1/2, 0, 1
Let b be (4/(-6))/(84/(-49350)). Let r = b - 390. Solve 1/6*d**4 + 0 + 4/3*d - r*d**2 + 1/6*d**3 = 0.
-4, 0, 1, 2
Factor 32*a**4 + 58*a**2 - 19*a**2 - 29*a**4 + 3*a**3 + 18*a + 21*a**3.
3*a*(a + 1)**2*(a + 6)
Solve 1/5*s**4 + 5704/5*s - 2844/5*s**2 - 3808/5 + 94*s**3 = 0 