(a - 37)*(7*a - 2)
Let r be 6/(-12)*-2*4/24. Let m(s) be the second derivative of -10*s + r*s**4 + 2*s**3 + 0*s**2 + 0. Determine p so that m(p) = 0.
-6, 0
Suppose 6*a = 7*a + 1, 5*f - 4*a - 12 = 17. Solve -4/3*b**f - 8/3*b**2 - 4*b + 8/3*b**4 + 0 + 16/3*b**3 = 0.
-1, 0, 1, 3
Let o be (5 - (-111)/(-24)) + 24/((-2880)/(-155)). Factor -p**2 - o*p - 2/3.
-(p + 1)*(3*p + 2)/3
Determine v, given that 136 + 4*v**3 - 28*v - 730 - 187*v + 12*v**2 - 109*v - 378 = 0.
-9, -3, 9
Suppose 0 = -4*g - 4*y + y + 246, -3*g - 3*y = -186. Let i be -6 - g/(-54) - -5. Factor -1/9*q - 1/9*q**2 + 1/9*q**3 + i.
(q - 1)**2*(q + 1)/9
Let u(a) be the first derivative of a**3/6 + 284*a**2 + 161312*a + 3174. Let u(k) = 0. Calculate k.
-568
Let u(o) be the first derivative of o**5/40 - o**4/18 + o**3/36 - 123*o - 78. Let q(y) be the first derivative of u(y). Let q(t) = 0. Calculate t.
0, 1/3, 1
Let l(w) be the second derivative of -179*w + 0*w**2 + 100/3*w**4 + 1/6*w**6 + 160/3*w**3 + 17/4*w**5 + 0. Factor l(d).
5*d*(d + 1)*(d + 8)**2
Suppose 0 = -2218*u + 2229*u - 17 - 5. Factor -98/5 - 2/5*b**4 - 224/5*b - 32/5*b**3 - 156/5*b**u.
-2*(b + 1)**2*(b + 7)**2/5
Let j = -8 - 90. Let s be (-6)/(-15) + j/(-5). Determine o, given that 22*o**3 + 83*o**3 + 232*o + 55*o**3 + s*o**4 - 402*o**2 + 30*o**4 - 40 = 0.
-5, 2/5, 1
Let a(d) = 5*d - 32. Let u be a(7). Factor -7*g**2 - g**u + g**3 + g**3 + 12*g**2 + 4*g.
g*(g + 1)*(g + 4)
Let l(f) = -3969*f - 3966. Let v be l(-1). Factor -5/2*q**4 - 5/2*q**2 + 0 + 0*q + 5*q**v.
-5*q**2*(q - 1)**2/2
Let p = -3631/3 + 1195. Let a = 193/12 + p. Find x, given that -1/4*x - 1/4*x**3 - a*x**2 + 1/2*x**5 + 0 + 3/4*x**4 = 0.
-1, -1/2, 0, 1
Let -25 - j**2 - 44 - 16*j - 11*j - 11*j - 3 = 0. What is j?
-36, -2
Let s = 3158209/6 - 526355. Solve -3/2*n**5 - 44/3*n**2 - 7/3 - 47/3*n**3 + 13*n**4 + s*n = 0 for n.
-1, 1/3, 2, 7
Suppose -25*n = 8*n - 99. Factor 2*h**2 - 2*h**n + 7*h - 24 + 16*h - h - 6*h.
-2*(h - 2)**2*(h + 3)
Suppose 0 + 6*v - 66*v**3 - 525/2*v**2 = 0. What is v?
-4, 0, 1/44
Let m(x) be the first derivative of -2*x**6/15 + 48*x**5/25 - 8*x**4 + 8*x**3 + 82*x**2/5 - 168*x/5 - 4029. Find f, given that m(f) = 0.
-1, 1, 2, 3, 7
Let y(p) be the second derivative of p**6/6 + p**5/10 - 59*p**4/12 - 52*p**3/3 - 24*p**2 - 8683*p. Find r such that y(r) = 0.
-12/5, -1, 4
Let m(z) be the second derivative of z**7/14 - 8*z**6/5 - 171*z**5/20 + 985*z. Factor m(n).
3*n**3*(n - 19)*(n + 3)
Let v = 155 - 152. Factor -24 + 3*j**2 - v*j**3 - 18*j + 6*j**3 + 6*j**2.
3*(j - 2)*(j + 1)*(j + 4)
Let f(n) be the first derivative of n**4/10 + 44*n**3/15 + 28*n**2/5 + 75*n - 82. Let t(v) be the first derivative of f(v). Find b such that t(b) = 0.
-14, -2/3
Find v, given that -162/11*v**2 + 58/11*v**3 - 52/11 - 2/11*v**4 + 158/11*v = 0.
1, 26
Let q(a) be the third derivative of a**7/525 - 23*a**6/300 + 16*a**5/15 - 5*a**4 + 911*a**2 - a. Determine u, given that q(u) = 0.
0, 3, 10
Let p = 123455 + -123343. What is j in -2/15*j**3 - 118/15*j**2 - p*j + 120 = 0?
-30, 1
Let x = 95960 - 95957. Factor 0 - 4/7*n**4 - 16/7*n - 32/7*n**2 - 20/7*n**x.
-4*n*(n + 1)*(n + 2)**2/7
Find v such that 1151*v - 3892*v**2 - 5327*v - 5222*v**2 - 1322*v**4 - 200*v**5 - 1238*v**4 - 7802*v**3 - 648 = 0.
-9, -3/2, -2/5
Let l = -6167 - -6172. Let a(z) be the third derivative of 5/27*z**3 + 1/270*z**l + 0 + 1/18*z**4 + 9*z**2 + 0*z. Factor a(i).
2*(i + 1)*(i + 5)/9
Suppose 3 = -457*g + 465*g + 3. Let b(p) be the first derivative of 1/2*p**5 + g*p**2 + 25/36*p**6 + 14 - 5/12*p**4 + 0*p**3 + 0*p. Factor b(d).
5*d**3*(d + 1)*(5*d - 2)/6
Let a(x) = -x**3 - 60*x**2 + 60*x - 63. Let o be a(-61). Let n be 21/(-28) + o/((-112)/58). Factor 12/7*w - n*w**2 - 10/7.
-2*(w - 5)*(w - 1)/7
Let q(p) be the third derivative of p**8/112 - 11*p**7/7 + 2909*p**6/40 + 1652*p**5/5 - 1176*p**4 + 17*p**2 + p - 12. Find l such that q(l) = 0.
-3, 0, 1, 56
Let f(n) = n**3 + 2*n**2 - 4*n - 1. Let k(q) = 5*q**3 - 78*q**2 - 380*q - 3. Let l(g) = 6*f(g) - 2*k(g). Factor l(s).
-4*s*(s - 46)*(s + 4)
Let q = 1206907/7 + -172414. Factor 0*h + 6/7*h**3 + 0 + 3/7*h**5 - q*h**4 + 0*h**2.
3*h**3*(h - 2)*(h - 1)/7
Let f(p) = p**2. Let v(m) = -76*m + 29. Let t(o) = 14*o - 1. Let s(q) = -4*t(q) - v(q). Suppose 20 = -k - 3*k. Let h(c) = k*f(c) - s(c). Factor h(l).
-5*(l - 1)*(l + 5)
Let x be (-4)/((-24)/6) - (3 + -5). Find d, given that 15 + 6*d**3 - 2*d**4 - 36*d**2 + 20*d**4 + x - 13*d**5 - 3*d + 10*d**5 = 0.
-1, 1, 6
Let g(k) be the first derivative of -k**6/360 + 9*k**5/40 + 7*k**4/6 + 2*k**3/3 + 78*k**2 + 77. Let v(d) be the third derivative of g(d). Factor v(y).
-(y - 28)*(y + 1)
Let w(s) be the second derivative of 81*s**5/5 - 19101*s**4 + 50912*s**3/3 - 5656*s**2 + 21*s + 29. Factor w(p).
4*(p - 707)*(9*p - 2)**2
Let n(q) be the second derivative of q**4/42 + 1046*q**3/7 + 2461761*q**2/7 + 100*q. Solve n(l) = 0.
-1569
Let r be (-7 - 893/(-114))/(2/28). Let q(i) be the second derivative of 5/4*i**4 + 9*i**5 + 15/2*i**2 - 25*i + 0 - r*i**3. Factor q(y).
5*(3*y - 1)**2*(4*y + 3)
Let x(v) be the first derivative of v**2 - 1/24*v**3 - 8*v + 133. Factor x(t).
-(t - 8)**2/8
Let k = 30 - 27. Suppose k*c = -0*c + 9. Factor -5 + 0 + 30*d**4 + 11*d - 7*d**5 - 4*d**3 - 14*d**2 + c - 14*d**4.
-(d - 1)**3*(d + 1)*(7*d - 2)
Let b = 283 + -279. Factor 14*m**b - 4*m**2 + 15*m**4 + 2*m**5 + 2*m**3 + 16*m**2 + 17*m**4 - 54*m**4.
2*m**2*(m - 3)*(m - 2)*(m + 1)
Suppose -154*z + 149*z = -35. Factor -814 + 99*p**2 + 3*p**3 + z + 105*p - 60 + 660*p.
3*(p - 1)*(p + 17)**2
Let i(z) = -4*z**4 - 68*z**3 - 628*z**2 - 1728*z - 1514. Let u(h) = 11*h**4 + 136*h**3 + 1255*h**2 + 3456*h + 3029. Let q(p) = 5*i(p) + 2*u(p). Factor q(d).
2*(d - 42)*(d + 2)*(d + 3)**2
Let g = -126832048/344133 - 9/38237. Let t = g + 369. Factor 2/9*b + 0 + 2/9*b**3 - t*b**2.
2*b*(b - 1)**2/9
Let t(s) = 10*s**3 - 20*s**2 - 19*s - 7. Let j(y) = 7*y**3 - 16*y**2 - 19*y - 8. Let z(i) = 3*j(i) - 2*t(i). Factor z(c).
(c - 10)*(c + 1)**2
Let o = 33 + 2. Find h, given that -15*h**2 - o*h - 12*h + 7*h + 15 = 0.
-3, 1/3
Let g = -405589/30 - -13521. Let r = g + -1/6. Factor 0 + 8/5*k**2 - r*k - 2/5*k**3.
-2*k*(k - 3)*(k - 1)/5
Let p be ((-3)/21)/((-25)/525). Let a(u) be the first derivative of 45/8*u**2 - 21/2*u + 13 - 1/4*u**p. Determine y, given that a(y) = 0.
1, 14
Suppose 0 = -4*p + s + 11, -3*p - 3 = s - 4*s. Suppose 0 = 10*f - 25 - 35. Factor -139 - 2*m**3 + 127 - f*m**2 + 2*m**p - 4*m**3 + 22*m + 0*m**4.
2*(m - 3)*(m - 1)**2*(m + 2)
Let l(z) be the second derivative of -z**5/10 + 746*z**4 - 1669548*z**3 - 223*z. Find u, given that l(u) = 0.
0, 2238
Let b be (-2)/224*-298 - 720/1920. Factor -b*v + 2/7*v**2 - 18/7.
2*(v - 9)*(v + 1)/7
Let n = 14 - 11. Find c such that -24*c**3 - 39*c**3 + 51*c**n - 40*c**2 + 4*c**4 = 0.
-2, 0, 5
Let q be 0*(-7 - 0)/(-7). Let h(x) be the third derivative of 0*x + 1/3*x**5 + 32*x**2 + q*x**3 - 1/30*x**6 - x**4 + 0. Suppose h(z) = 0. What is z?
0, 2, 3
Let y(l) be the second derivative of -78*l + 0*l**5 + 1/2*l**4 + 1/14*l**7 + 0*l**2 - 1/2*l**3 - 1/5*l**6 + 0. Find a, given that y(a) = 0.
-1, 0, 1
Let a = -56 + 62. Let g be 3 + (-21)/9 - (-8)/a. Suppose -3 + 0 + q**g - 29*q + 27*q = 0. Calculate q.
-1, 3
Let r(w) be the third derivative of -w**5/60 - 7*w**4/24 + 33*w**3 - 15*w**2. Let h be r(-18). Factor 0*s + h*s**2 + 0*s**3 + 0 + 3/4*s**5 + 3/2*s**4.
3*s**4*(s + 2)/4
Let v(d) be the third derivative of 0*d**3 + 0 + d - 4*d**2 - 1/6*d**6 + d**5 + 0*d**4 + 1/126*d**7. Factor v(m).
5*m**2*(m - 6)**2/3
Let u(q) be the first derivative of q**3/12 + 425*q**2/4 + 180625*q/4 + 1027. Factor u(g).
(g + 425)**2/4
Let p(k) be the second derivative of -k**8/3360 + k**6/30 + 4*k**5/15 + k**4/12 + 5*k**3/3 - 86*k. Let y(j) be the third derivative of p(j). Factor y(o).
-2*(o - 4)*(o + 2)**2
Let x(r) be the second derivative of 5/8*r**5 - 9*r**4 - 1/60*r**6 + 5*r + 3 - 128*r**2 + 176/3*r**3. Factor x(k).
-(k - 8)**3*(k - 1)/2
Suppose 8128*p = 8052*p. Let n(s) be the second derivative of 2*s + p*s**3 + 23 + 0*s**4 - 3/10*s**6 + 3/10*s**5 + 0*s**2. Find i, given that n(i) = 0.
0, 2/3
Let b(c) = c**3 - 7*c**2 - 26*c - 32. Let k be b(10). Find d such that 2/3*d**2 + k*d - 26/3 = 0.
-13, 1
Factor 36*o**4 - 79*o**4 - 225*o**3 + 10*o**4 + 38*o**4 - 230*o**2.
5*o**2*(o - 46)*(o