 = 0.
-2, -1, -6/7, 1
Let o(n) be the second derivative of -n**7/22680 - n**6/810 - 7*n**5/1080 - 11*n**4/12 + 4*n + 4. Let u(f) be the third derivative of o(f). Factor u(p).
-(p + 1)*(p + 7)/9
Let k be (-16)/216*(-633)/(-204). Let h = 13/54 - k. Factor 6/17 + 2/17*s**2 - h*s.
2*(s - 3)*(s - 1)/17
Let t be (-8)/(-10) - (-88)/40. Factor 36*l**t + 2*l**5 - l - 531*l**4 - 40*l**2 + 17*l + 517*l**4.
2*l*(l - 2)**3*(l - 1)
Let f(b) be the first derivative of -1/8*b**3 + 33/4*b + 63/16*b**2 + 118. Factor f(y).
-3*(y - 22)*(y + 1)/8
Factor -7 - 3*i**3 - 1/4*i**4 - 43/4*i**2 - 15*i.
-(i + 1)*(i + 2)**2*(i + 7)/4
Let w(q) be the second derivative of 160*q + 1/5*q**5 + 289/2*q**2 - 45/4*q**4 + 0 + 187*q**3. Solve w(h) = 0.
-1/4, 17
Let z(c) be the first derivative of -5*c**4/26 + 536*c**3/39 - 157*c**2/13 - 212*c/13 - 845. Find j, given that z(j) = 0.
-2/5, 1, 53
Let x = -114847/103 + 1115. Let i = 220/721 + x. Suppose 0*v + 2/7*v**4 + 0*v**3 - 4/7*v**2 + i = 0. Calculate v.
-1, 1
Let c be -2*(1*2 + 11 + -15). Suppose -18*p**3 + 3*p - 2*p + 23*p - 7*p**c + 36*p**2 + 9*p**5 - 14*p**4 = 0. Calculate p.
-1, -2/3, 0, 2
Let f = 228493 - 228490. Find i such that -3/5*i**2 + 3*i**f + 0 + 3/5*i**4 - 3*i = 0.
-5, -1, 0, 1
Let v(u) be the third derivative of -u**7/5040 - u**6/360 - u**5/80 + 37*u**4/12 - 46*u**2. Let h(k) be the second derivative of v(k). Factor h(p).
-(p + 1)*(p + 3)/2
Factor -161312/9 + 1136/9*s - 2/9*s**2.
-2*(s - 284)**2/9
Let v be (-5820)/582 - (-18)/63*(-280)/(-6). Find x such that 4/3 - v*x**2 - 10/3*x + 2*x**4 + 10/3*x**3 = 0.
-2, -1, 1/3, 1
Let a(m) = m**3 + 20*m**2 + 37*m + 20. Let q be a(-18). Suppose -4*d = -5*s - 327 - 596, q*s + 1175 = 5*d. Factor 4*h**4 + d*h**2 - 233*h**2 + 0 + 8*h**3 + 0.
4*h**2*(h + 1)**2
Suppose 5 = -4*n + 17. Find q such that -20*q - 6*q**2 - 17*q - 19*q + 48*q + 2*q**n = 0.
-1, 0, 4
Solve -65*j**3 - 325*j + 187*j**4 - 109*j**4 - 35*j + 270*j**2 - 73*j**4 = 0 for j.
0, 3, 4, 6
Let s(l) be the first derivative of 2*l**5/35 - 20*l**4/7 + 292*l**3/7 - 760*l**2/7 + 722*l/7 - 1012. Let s(t) = 0. Calculate t.
1, 19
Let m(v) be the first derivative of -1/4*v**4 + 1/5*v**5 - v - 4/3*v**3 + 91 + 1/12*v**6 - 7/4*v**2. Factor m(c).
(c - 2)*(c + 1)**4/2
Let b(r) be the first derivative of r**6/2 + 249*r**5/5 + 3525*r**4/2 + 24138*r**3 + 124659*r**2/2 + 59049*r + 2441. Let b(y) = 0. What is y?
-27, -1
Let n(h) = 42*h**2 - 607*h + 143. Let o(w) = -85*w**2 + 1225*w - 285. Let q(p) = -5*n(p) - 3*o(p). Factor q(z).
5*(z - 14)*(9*z - 2)
Suppose -4758*d = -4763*d - 4*f - 64, 3*f + 48 = -2*d. Suppose 0*h**4 + 3/8*h**5 - 15/8*h**3 + 3/2*h + d*h**2 + 0 = 0. What is h?
-2, -1, 0, 1, 2
Let k(m) be the third derivative of -m**5/180 + 5*m**4/18 - 14*m**3/3 + 51*m**2 - 4. Factor k(j).
-(j - 14)*(j - 6)/3
Let q be -14 + (58 - 98) + 56. Determine r, given that 11/3*r**3 + 4/3*r**q + 16/3 - 1/3*r**5 - 2/3*r**4 - 28/3*r = 0.
-4, -2, 1, 2
Let j(q) be the third derivative of q**7/1785 + q**6/170 - q**5/510 - q**4/34 + 2*q**2 + 36*q. Factor j(z).
2*z*(z - 1)*(z + 1)*(z + 6)/17
Let f(v) be the second derivative of 22/7*v**3 + 1/35*v**5 - 10/21*v**4 - 31 + 2*v - 72/7*v**2. Find q such that f(q) = 0.
3, 4
Let j(m) be the first derivative of -3*m**5/5 + 303*m**4 - 40398*m**3 - 123018*m**2 - 123627*m - 1812. Factor j(x).
-3*(x - 203)**2*(x + 1)**2
Suppose -19*x + 71 = -5. Suppose -x*m = -n - 17, 4*n + 10 = -2*m - 4. Factor -10/9*j**4 + 0*j + 28/9*j**2 + 0 + 22/3*j**m.
-2*j**2*(j - 7)*(5*j + 2)/9
Factor 955*t**2 - 5*t**4 - 12240*t - 28*t**3 - 54998 - 41196 + 3714 + 118*t**3.
-5*(t - 17)**2*(t + 8)**2
Let a(z) be the third derivative of -z**8/2184 - 76*z**7/105 + 989*z**6/780 - 6*z**2 + z - 2. Factor a(d).
-2*d**3*(d - 1)*(d + 989)/13
Let y(s) be the second derivative of 49*s**4/3 + 112*s**3 + 288*s**2 + 38*s + 36. Factor y(z).
4*(7*z + 12)**2
Let b(v) be the first derivative of -4/3*v**3 - 197 + 112*v + 24*v**2. Solve b(n) = 0 for n.
-2, 14
Let k(o) = o**5 - o**4 + o. Let d(v) = 6*v**5 - 3*v**4 + v**3 + 5*v. Let u(r) = -2*d(r) + 10*k(r). Determine m, given that u(m) = 0.
-1, 0
Let i(z) = -4*z + 22 + 7*z**2 - 41 + 17. Let w be i(6). Factor -6 + 3*c**4 - 229*c**2 + 6 + 9*c**3 - 9*c + w*c**2.
3*c*(c - 1)*(c + 1)*(c + 3)
Let i(r) be the first derivative of -r**6/48 - 7*r**5/10 + 15*r**4/8 - r**3/12 - 59*r**2/16 + 15*r/4 + 1226. Determine y so that i(y) = 0.
-30, -1, 1
Find x, given that 16223995*x + 152*x**2 - 16222907*x + 668*x**2 + 3*x**3 = 0.
-272, -4/3, 0
Let p(j) be the third derivative of -j**8/3780 - j**7/630 + j**6/135 + 4*j**5/135 - 35*j**3/6 + 14*j**2. Let s(g) be the first derivative of p(g). Factor s(o).
-4*o*(o - 2)*(o + 1)*(o + 4)/9
Let p(z) be the first derivative of -z**5/25 + 29*z**4/10 - 649*z**3/15 - 2784*z**2/5 - 9216*z/5 - 400. Factor p(i).
-(i - 32)**2*(i + 3)**2/5
Let a be 6/5*-8*45/(-108)*2 + 6. Let 136/3 + 48*h + 2/3*h**3 + a*h**2 = 0. What is h?
-17, -2
Let s = -1 - -3. Suppose -5*t = -4*f - 3, -11*t + 5*f = -15*t + 27. Let -48*k - 5*k**s + 48*k - 5*k**t = 0. What is k?
-1, 0
Let d = 4 + 37. Let s = 47 - d. Factor a**3 + 2*a**3 + 0*a**3 + 3*a + s*a**2.
3*a*(a + 1)**2
Let n(v) be the third derivative of 3*v**8/224 - 29*v**7/140 - 7*v**6/48 + 17*v**5/40 - 5*v**4/24 + 31*v**2 + 5*v. Solve n(i) = 0 for i.
-1, 0, 1/3, 10
Let m(l) be the first derivative of l**4/6 + 2*l**3/3 - 3*l**2 - 22*l - 89. Let x(n) be the first derivative of m(n). What is v in x(v) = 0?
-3, 1
Let u be 32*(-63 - (-47286)/740). Let -24/5*o**3 + 48/5*o**2 - 18/5*o**4 + u*o + 96/5 - 3/5*o**5 = 0. What is o?
-2, 2
Let a(r) be the first derivative of -r**5/5 + 11*r**4/3 - 15*r**3 - 25*r**2/3 + 11343. Find b, given that a(b) = 0.
-1/3, 0, 5, 10
Suppose -29*k + 27*k + 6 = 0. Let r be 4 - (-1)/k*3/2. Solve -r*d**4 + 0*d**2 + d - 17/4*d**3 - 5/4*d**5 + 0 = 0 for d.
-2, -1, 0, 2/5
Suppose o - 77 = -45. Suppose -77*p - 11 - 5*p**2 + o + 24 + 37*p = 0. Calculate p.
-9, 1
Let t be (-23)/(-2) - (0/(-1204) + (9 - 0)/1). Factor 1/4*m**2 - t + 3/4*m.
(m - 2)*(m + 5)/4
Let f(h) = -59*h**2 + 4*h - 5. Let k(y) be the first derivative of 10*y**3 - y**2 + 3*y - 34. Let z(s) = -3*f(s) - 5*k(s). Factor z(v).
v*(27*v - 2)
Suppose 0*z - z = 3*w - 9, -4*w + 22 = -2*z. Let l = w - -5. Factor 2*v**2 - 9*v**2 + l*v + 3*v**3 + 19*v**2.
3*v*(v + 1)*(v + 3)
Let d = -58 + 68. Suppose 0 = 5*u - 4*z - 18, 5*z = 10*z + d. Let -227*j**2 - j**3 + 228*j**u + j**4 - 2*j**4 + j = 0. Calculate j.
-1, 0, 1
Let h(g) be the first derivative of -18*g - 12 + 1/3*g**2 - 1/36*g**4 + 1/18*g**3. Let i(l) be the first derivative of h(l). Factor i(v).
-(v - 2)*(v + 1)/3
Suppose 0 = r - 4*k - 20, 5 + 5 = 5*r - 2*k. Let p be (5 - (-6)/(-3) - 3610/1330) + 0. Factor 2/7*s + r - 4/7*s**2 + p*s**3.
2*s*(s - 1)**2/7
Let z = -532 - -695. Suppose -g - 2*a + 59 = 0, -3*a = -5*g + z + 197. Factor -g*o**2 + 567/2*o**3 - 1911/4*o**4 + 6*o + 1029/4*o**5 + 0.
3*o*(o - 1)*(7*o - 2)**3/4
Let s be 742/70 + -6 + -1. Let y(w) be the first derivative of -6/5*w - 18/5*w**2 - s*w**4 - 24/25*w**5 - 26/5*w**3 + 11. Factor y(t).
-6*(t + 1)**2*(2*t + 1)**2/5
Let z = -226 + 268. Factor -9 - 52*b**2 + 31*b**2 - 11*b**3 - z*b + 23*b**3.
3*(b - 3)*(b + 1)*(4*b + 1)
Let b(z) = -z - 68. Let a be b(22). Let i be a/(-20)*2/3*1. Let 1/2*q**i + q**4 + 0*q**2 + 0 + 1/2*q**5 + 0*q = 0. Calculate q.
-1, 0
Let i(y) be the second derivative of -12*y - 1/4*y**4 + 3/2*y**3 + 6*y**2 - 5. Determine m so that i(m) = 0.
-1, 4
Let l(j) be the first derivative of -3*j**5/5 + 27*j**4 - 99*j**3 - 6*j**2 + 396*j - 963. Factor l(z).
-3*(z - 33)*(z - 2)**2*(z + 1)
Let o(n) be the second derivative of -n**5/100 - 5*n**4/12 - 11*n**3/15 + 24*n**2/5 - 4830*n. What is s in o(s) = 0?
-24, -2, 1
Solve 169/5*s**4 + 12 - 208/5*s - 109/5*s**2 + 307/5*s**3 + 21/5*s**5 = 0 for s.
-5, -3, -1, 2/7, 2/3
Suppose -4*x - 13*s = -18*s - 3, 0 = x + s - 12. Let y be 3*x/(-14)*-2*1. Suppose 0 + 6/5*q - 9*q**2 + 84/5*q**y = 0. What is q?
0, 1/4, 2/7
Suppose -d + 2*r = -83, 2*d - r = d + 88. Factor -3*w**5 - 2*w**2 + 96*w**3 + 3*w**4 - d*w**3 + 0*w**4 - w**2.
-3*w**2*(w - 1)**2*(w + 1)
Let j(d) be the third derivative of 2*d**7/105 + 21*d**6/10 - 268*d**5/15 + 2*d**2 - 1022*d + 1. Suppose j(c) = 0. Calculate c.
-67, 0, 4
Let 3/7*c**2 - 3966/7*c + 1310763/7 = 0. What is c?
661
Let p(j) 