5849/2 + 147*j**2 + 1/4*j**3 = 0. Calculate j.
-293, -2
Let w(p) be the third derivative of -8/3*p**4 + 167*p**2 + 0 + 9/4*p**5 + 2/3*p**3 + 0*p. Suppose w(c) = 0. What is c?
2/27, 2/5
Factor -4 + 8/3*b**2 + 2/3*b**3 + 2/3*b.
2*(b - 1)*(b + 2)*(b + 3)/3
Let v be (0 + (-19 - -271)/36)/(14/4). Factor -22/3*n + 0 - 20/3*n**v + 2/3*n**3.
2*n*(n - 11)*(n + 1)/3
Let j be -37 - -32 - 1/((-1)/11). Factor -77*r**5 - 88*r**5 - 9*r**3 + 164*r**5 + j*r**4.
-r**3*(r - 3)**2
Let r(c) be the third derivative of c**7/70 + 47*c**6/40 + 711*c**5/20 + 3553*c**4/8 + 1444*c**3 + 8*c**2 - 36*c. Find u, given that r(u) = 0.
-19, -8, -1
Suppose 246*u - 183 - 157 = 152. Let q(n) be the third derivative of n**4 + 0 - 1/15*n**5 + 0*n - 11*n**u - 6*n**3. Let q(s) = 0. Calculate s.
3
Let u(j) be the first derivative of -8*j**6/21 - 124*j**5/35 - 52*j**4/7 + 124*j**3/21 + 152*j**2/7 - 80*j/7 - 1141. What is o in u(o) = 0?
-5, -2, 1/4, 1
Let q(v) be the third derivative of 8*v**7/945 - 1153*v**6/540 + 616*v**5/3 - 8256*v**4 + 4096*v**3 + 5069*v**2. Factor q(p).
2*(p - 48)**3*(8*p - 1)/9
Suppose 0 = 30548*o - 30521*o - 81. Let i(c) be the first derivative of 1/8*c**2 - 1/24*c**6 + 1/10*c**5 + 0*c**4 - 1/6*c**o + 0*c - 44. Factor i(a).
-a*(a - 1)**3*(a + 1)/4
Let l be 1168/(-146)*(-16)/3. Let r(j) be the first derivative of -28 + l*j + 8/3*j**3 - 16*j**2 - 1/6*j**4. Factor r(s).
-2*(s - 4)**3/3
Let r be (-1 + 2540/(-196))*((-12)/(-81))/(68/(-2142)). Factor 237/7*i - 48/7*i**3 + r*i**2 + 30/7.
-3*(i - 10)*(4*i + 1)**2/7
Let r(k) be the second derivative of -k**6/120 - k**5/40 + 5*k**4/2 - 76*k**3/3 + 112*k**2 - 5*k. Factor r(i).
-(i - 4)**3*(i + 14)/4
Let j(x) = x**2 + 8*x + 12. Let w be j(-7). Let 381*i - w*i**3 - 191*i - 190*i - 30*i**2 = 0. What is i?
-6, 0
Let q(h) = -5*h - 44. Let s be q(-11). Let l = -13 + 22. Factor 6*w + w**3 - l + 8*w - s*w + 9*w**2 - 4*w**3.
-3*(w - 3)*(w - 1)*(w + 1)
Suppose 10*h = 79*h - 414. Suppose f - 2*z = -h, -11 - 1 = -3*z. What is c in 1/6*c - 1/6*c**f + 0 = 0?
0, 1
Let s(y) be the third derivative of y**6/8 + 5*y**5/12 + 5*y**4/12 + 2*y**2 + 138. Factor s(z).
5*z*(z + 1)*(3*z + 2)
Let x = 307 - 812. Let p = x + 505. Find u, given that 6/13*u - 2/13*u**2 + p = 0.
0, 3
Suppose 1459*y = 1457*y + 10. Suppose q + 3*q = -3*t + 13, -q - t + 3 = 0. Find m, given that 21*m**3 + 6*m + 38*m**2 + y*m**4 + 3*m**q - 11*m**2 - 26*m**4 = 0.
-1/2, -1/3, 0, 2
Let d(y) = 19*y**2 - 81*y - 5. Let q be d(5). Find r such that -315*r**2 + 2163 + q*r**3 - 50*r - 2163 = 0.
-2/13, 0, 5
Let v = 12 - 10. Let m(c) = -2*c + 6. Let t be m(1). Factor -j**3 - 6*j + 0*j - t*j**3 + 8*j**3 + 3*j**v.
3*j*(j - 1)*(j + 2)
Let a(s) be the second derivative of s**6/900 - 7*s**5/25 + 147*s**4/5 + 13*s**3/6 + 273*s. Let q(v) be the second derivative of a(v). Solve q(k) = 0.
42
Suppose 17 = g + 19. Let p(k) = -4*k**2 - 56*k - 396. Let f(w) = -9*w**2 - 112*w - 794. Let d(u) = g*f(u) + 5*p(u). Factor d(n).
-2*(n + 14)**2
Let g(v) be the third derivative of -1/60*v**5 + 0*v**3 + 71*v**2 - 7/24*v**4 + 0 + 0*v. Find l such that g(l) = 0.
-7, 0
Let z(s) be the third derivative of -s**8/1232 + 19*s**7/2310 - 4*s**6/165 + 4*s**5/165 + 2*s**2 + 770*s. Determine k so that z(k) = 0.
0, 1, 4/3, 4
Suppose 4*g = -g + 30. Let b be -2 - (808/(-5) + g/(-15)). Factor b*n - 6*n**3 - 152*n + 2*n**4 + 0*n**3.
2*n*(n - 2)**2*(n + 1)
Let v(s) be the first derivative of 8*s**6/27 + 164*s**5/45 - 5*s**4 - 460*s**3/27 + 362*s**2/9 - 88*s/3 - 1416. Determine b, given that v(b) = 0.
-11, -2, 3/4, 1
Suppose 38 = -7*o - 4. Let w(t) = -3*t**3 + 3*t**2 + 3*t + 7. Let z(x) = 1 - 5 + 7 + x - x**3 + x**2. Let r(d) = o*w(d) + 15*z(d). Factor r(g).
3*(g - 1)**2*(g + 1)
Suppose 2*f = 5*o + 25, -816 = 3*f + 4*o - 819. Factor f*k + 5/4*k**2 + 5.
5*(k + 2)**2/4
Let u be -16 + 5 - (-2 - -11 - 22). Solve 0 + 2/7*g**3 - 2/7*g**5 - 4/7*g**4 + 4/7*g**u + 0*g = 0 for g.
-2, -1, 0, 1
Let f be (-22)/36*((-35)/18 + (-298)/5364). Find a such that 14/3*a**2 + 1/9*a**4 + f*a**3 + 40/9 + 68/9*a = 0.
-5, -2
Let t(z) be the second derivative of 5/4*z**2 - 1/24*z**4 - 1/3*z**3 - 2 + 14*z. Solve t(v) = 0 for v.
-5, 1
Solve 133*q**3 - 130*q**3 - 220*q**2 + q**3 + 3388*q - 15972 = 0 for q.
11, 33
Let i(h) = 61*h - 115. Let w be i(2). Let d be 0 + (-4)/(-28)*w + 4. Find b such that 1/3*b**4 + 5/3*b**2 - 4/3*b**d - 2/3*b + 4*b**3 + 0 = 0.
-1, 0, 1/4, 2
Let p(c) be the third derivative of -c**8/784 - 3*c**7/70 - 29*c**6/70 - 68*c**5/35 - 36*c**4/7 - 8*c**3 - 43*c**2 - 4*c. Solve p(q) = 0.
-14, -2, -1
Let k = -9337 - -9337. Let t(o) be the first derivative of 26 - 3/2*o**2 - 1/4*o**4 - 1/5*o**5 + 5/3*o**3 + k*o. Determine r, given that t(r) = 0.
-3, 0, 1
Factor 0*p + 0*p**3 + 42*p**4 + 0*p**2 - 1/2*p**5 + 0.
-p**4*(p - 84)/2
Let w be (110/(-22))/((-9)/2 + (-6 - -8)). Let d(h) be the third derivative of 0*h**3 + 0 - 1/450*h**5 - 24*h**w + 0*h + 1/90*h**4. Factor d(q).
-2*q*(q - 2)/15
Let j(g) be the second derivative of -333*g - 1/20*g**4 + 0*g**2 + 0 + 29/10*g**3. Let j(w) = 0. Calculate w.
0, 29
Let n = 8952 + -8945. Let y(w) be the third derivative of 34/15*w**5 + 16/105*w**n + 23/6*w**4 + 0 + 1/84*w**8 + 4/5*w**6 + 4*w**3 + 0*w + 31*w**2. Factor y(k).
4*(k + 1)**3*(k + 2)*(k + 3)
Let p be -3*2/(-3)*(1 + 22). Let a = -44 + p. Factor 5*n**3 + n**5 - a*n**4 + 0*n**3 - 2*n**3 - n**2 - n**4.
n**2*(n - 1)**3
Let a = -8698 + 8701. Suppose -k = 4*k. Suppose 0*r + k + 1/4*r**a + 0*r**2 = 0. Calculate r.
0
Let y be (-1150)/276*6/(-40)*(-10)/(-25). Let m be ((-3)/(-9))/((-6)/(-18)). Factor -5/4*q - y*q**2 - m.
-(q + 1)*(q + 4)/4
Suppose 740*l - 732*l = -s - 40, -2*s - l = 5. Let w(d) be the first derivative of -10/3*d**3 - 28 + 15/4*d**4 + s*d + 0*d**2 - d**5. Factor w(x).
-5*x**2*(x - 2)*(x - 1)
Let x(s) be the third derivative of 3/2*s**3 - 1/80*s**6 + 0*s + 0 - 111*s**2 + 11/60*s**5 + 43/48*s**4. Factor x(u).
-(u - 9)*(u + 1)*(3*u + 2)/2
Let b(j) be the third derivative of 0*j - 4/15*j**5 - 7*j**2 + 8/45*j**6 - 11/6*j**3 + 0 + 1/6*j**4. Let p(y) be the first derivative of b(y). Factor p(z).
4*(4*z - 1)**2
Let j(t) = -51*t**2 - 15*t - 2. Let r(q) = q**2 + 2. Suppose -3*v + 14 = -5*s, 8 + 11 = -4*s + 5*v. Let n(u) = s*j(u) - 6*r(u). Factor n(z).
5*(3*z - 1)*(3*z + 2)
Solve -2/11*s**2 + 270/11*s - 268/11 = 0.
1, 134
Let h(z) be the second derivative of z**6/75 - 1141*z**5/50 + 10868*z**4 - 21660*z**3 - 2214*z. Factor h(l).
2*l*(l - 570)**2*(l - 1)/5
Let z(y) be the first derivative of y**4/6 - 218*y**3/9 - 230. Factor z(l).
2*l**2*(l - 109)/3
Let k be (-558)/(-42) + -5 + (5 - 24) + 11. Factor 76/7*g - 722/7 - k*g**2.
-2*(g - 19)**2/7
Let w(t) = 5*t - 117. Let h be w(25). Let i be (1/h)/(((-108)/96)/(-3)). Factor i*u**3 + 2/3*u**2 - 1/3*u - 2/3.
(u - 1)*(u + 1)*(u + 2)/3
Let i(p) be the first derivative of 3267/2*p - 34 + 1/2*p**3 - 99/2*p**2. Factor i(s).
3*(s - 33)**2/2
Let h(q) be the third derivative of -q**7/42 - 59*q**6/24 - 899*q**5/12 - 4205*q**4/24 + 3*q**2 + 4*q + 13. Factor h(s).
-5*s*(s + 1)*(s + 29)**2
Let j be 12/(-48) + 1260/(-225)*(-6)/32. Factor 4/5*o**2 - j + 2/5*o**3 - 2/5*o.
2*(o - 1)*(o + 1)*(o + 2)/5
Let u(c) = 8*c**3 + 37*c**2 + 192*c + 222. Let x(f) = 26*f**3 + 108*f**2 + 576*f + 668. Let h(i) = 10*u(i) - 3*x(i). Factor h(o).
2*(o + 2)*(o + 3)*(o + 18)
Let h(s) = 258*s + 118424. Let f be h(-459). Factor -10/11*k**4 + 4/11*k + 0 + 2/11*k**5 - 14/11*k**f + 18/11*k**3.
2*k*(k - 2)*(k - 1)**3/11
Let q(p) = 23*p - 201. Let y be q(9). Let o(t) = 5*t**2 - 30*t - 1. Let m(v) = -2*v**2 + 10*v. Let j(n) = y*o(n) + 17*m(n). Factor j(f).
-2*(f + 1)*(2*f + 3)
What is u in 152*u + 1/2*u**4 - 210 + 161/2*u**2 - 23*u**3 = 0?
-2, 1, 5, 42
Let j(p) be the first derivative of p**6/2 - 273*p**5 + 4071*p**4/4 - 449*p**3 - 2037*p**2 + 2712*p + 7540. Let j(t) = 0. What is t?
-1, 1, 2, 452
Let c(w) be the second derivative of -w**4/72 - 307*w**3/9 - 94249*w**2/3 + 2453*w. Factor c(h).
-(h + 614)**2/6
Suppose -19*d = -14*d + 1540. Let m be 32*((-12)/(-28) - (-90)/d). Solve -4/11*p + 0 + 32/11*p**4 - 30/11*p**2 - m*p**3 = 0.
-1/4, 0, 2
Let j(m) = m**3 - 23*m**2 - 210*m + 4. Let x be j(30). Let s be (-4)/(-64)*x + (-1)/20. Determine d, given that 2/5*d**3 + s*d**2 + 0 + 0*d + 1/5*d**4 = 0.
-1, 0
Let r(y) be the second derivative of y**4/32 + 27*y**3/16 +