1*x**5/12 - 65*x**4/3 - 350*x**3/3 + 14*x**2 - x + 41. Solve w(g) = 0.
-10, -7, -2, -1, 1
Let k be 36/(-45) + (-57)/(-133)*(-534)/(-45). Let -12/7*m**3 - 4/7 - k*m - 38/7*m**2 = 0. What is m?
-2, -1, -1/6
Let p(i) be the second derivative of -i**7/560 + i**6/30 + i**5/80 - i**4/2 + 5*i**3/6 + 12*i - 2. Let u(g) be the second derivative of p(g). Factor u(a).
-3*(a - 8)*(a - 1)*(a + 1)/2
Factor -16*d**2 - 7*d + 39*d + 34 + 12*d**2 - 98.
-4*(d - 4)**2
Factor 48/7*y - 190/7 - 2/7*y**2.
-2*(y - 19)*(y - 5)/7
Let k(l) = 65*l**3 - 25*l**2 + 30*l + 35. Let n = -131 - -125. Let z(x) = 11*x**3 - 4*x**2 + 5*x + 6. Let r(a) = n*k(a) + 35*z(a). Let r(p) = 0. Calculate p.
0, 1
Let 2/3*b + 2/9*b**3 - 8/9*b**2 + 0 = 0. What is b?
0, 1, 3
Let n = 40 + -26. Let x be ((-2)/(-3))/((-5 - -16)/33). Factor -2*s**5 + 2*s + n*s**x - 10*s**2 + 0*s**5 - 4*s**4.
-2*s*(s - 1)*(s + 1)**3
Let y = -23450 - -23477. Let h(u) be the second derivative of 0 + 0*u**2 + 0*u**3 - 1/28*u**4 - y*u + 3/140*u**5. Factor h(t).
3*t**2*(t - 1)/7
Let o(u) be the third derivative of u**6/480 + u**5/6 - 41*u**4/96 - 1238*u**2. Factor o(d).
d*(d - 1)*(d + 41)/4
Determine k so that -292*k**2 + 617 + 1588 + 1390*k + 291*k**2 + 125*k + 276*k**2 + 5*k**3 = 0.
-49, -3
Let p(x) = 2*x**2 - 28*x - 621. Let u be p(26). Let j(z) be the second derivative of -1/8*z**u - 1/4*z**2 - 1/48*z**4 + 13*z + 0. Factor j(n).
-(n + 1)*(n + 2)/4
Suppose 3*k - 85 = -76. Find y, given that 570*y - y**2 - 2*y**k - y**4 - 570*y = 0.
-1, 0
Suppose 288*m - 278*m = 4640. Let k = 466 - m. Factor 4/3*r - k + 2/3*r**2.
2*(r - 1)*(r + 3)/3
Let c(w) = 48*w**2 - 17160*w + 4907650. Let x(f) = 9*f**2 - 3432*f + 981532. Let o(s) = -2*c(s) + 11*x(s). Suppose o(r) = 0. What is r?
572
Let x(l) be the second derivative of 3*l**5/100 - 243*l**4/20 + 14883*l**3/10 - 43923*l**2/10 - 257*l + 2. Let x(y) = 0. What is y?
1, 121
Let o(h) be the third derivative of h**7/1050 - h**6/60 - 3083*h**5/300 + 259*h**4/2 + 402486*h**3/5 - 5900*h**2. Factor o(z).
(z - 42)**2*(z + 37)**2/5
Let x(a) be the first derivative of 0*a**2 + 6/5*a**5 - 1/3*a**6 + 9/2*a**4 + 10/3*a**3 + 0*a - 31. Factor x(o).
-2*o**2*(o - 5)*(o + 1)**2
Let i(z) be the third derivative of 0*z**4 + 0*z**3 + 0*z + 20*z**2 - 1 + 5/4*z**5 + 1/4*z**6 + 1/70*z**7. Solve i(o) = 0.
-5, 0
Let u = -752 - -748. Let d(f) = 70*f**2 + 448*f + 69. Let n(y) = 35*y**2 + 223*y + 34. Let b(o) = u*d(o) + 9*n(o). Let b(l) = 0. Calculate l.
-6, -1/7
Let h(j) = j**3 + 6*j**2 - 70*j - 6. Let z be h(6). Let r be (-20)/(-6) - 1/3. Let -r*g**2 - z*g + 392*g**3 - 786*g**3 + 397*g**3 = 0. Calculate g.
-1, 0, 2
Suppose 2608653 + 12334140*y - 19735*y**2 + 25*y**3 + 54845*y**2 - 633843 + 2953230 = 0. Calculate y.
-702, -2/5
Suppose 1895*l + 114 + 300 = 4637 + 1462. Factor 1/5*h**4 + 6/5*h + 0 + 11/5*h**2 + 6/5*h**l.
h*(h + 1)*(h + 2)*(h + 3)/5
Let y(m) = -10*m - 74. Let g be y(-5). Let q be 25/(-10) - 108/g. Factor -2/7*k**3 + 2/7*k - 8/7 + 8/7*k**q.
-2*(k - 4)*(k - 1)*(k + 1)/7
Let h be ((-152)/32 - (-3 - -2))*5/(-30). Factor 1/8*v**5 + 1/4*v - h*v**4 + 9/8*v**3 - 7/8*v**2 + 0.
v*(v - 2)*(v - 1)**3/8
Suppose 11*d + 2 = 13*d. Let w be d + (-12)/150*-5. Suppose 0 + 2/5*r - 9/5*r**2 + w*r**3 = 0. What is r?
0, 2/7, 1
Let h(j) be the third derivative of -j**6/540 + 91*j**5/135 - 2635*j**4/36 - 3844*j**3/3 - 1246*j**2. Factor h(y).
-2*(y - 93)**2*(y + 4)/9
Let i(m) = -15*m**3 - 146*m**2 - 620*m - 456. Let z(c) = 11*c**3 + 110*c**2 + 465*c + 342. Let x(p) = 8*i(p) + 11*z(p). Factor x(y).
(y + 1)*(y + 3)*(y + 38)
Let p(n) be the third derivative of -n**6/132 - 241*n**5/165 - 12173*n**4/132 - 8836*n**3/11 + 9*n**2 - 17. Factor p(w).
-2*(w + 47)**2*(5*w + 12)/11
Let t(x) be the second derivative of -6 + 8*x - 1/10*x**6 + 3/20*x**5 + 3/4*x**4 - 5/2*x**3 + 3*x**2. Factor t(n).
-3*(n - 1)**3*(n + 2)
Let w(x) = x**2 + 11*x + 16. Let i be w(-9). Let q(g) = 2*g**2 + 18*g + 16. Let d(c) = 2*c**2 + c - 1. Let n(p) = i*d(p) + q(p). Determine l so that n(l) = 0.
-1, 9
Let o be (2 - 1) + (5509 - (-2 - -6)). Factor -40*l**2 + 5486*l - o*l - 2*l**3 - 13*l**3.
-5*l*(l + 2)*(3*l + 2)
Suppose 3*s + 6 = s, g + 5*s = -11. Let q = 9 + -7. Let 70 + g*w**q - 33*w + 38*w - 61*w + 126 = 0. What is w?
7
Let l(v) be the second derivative of 6*v**5/25 - 7*v**4/15 + 4*v**3/15 + 321*v + 4. Solve l(w) = 0.
0, 1/2, 2/3
Factor 3/11*o**2 - 16/11*o + 20/11.
(o - 2)*(3*o - 10)/11
Suppose 5*v + 5 = -0*v, 2*x + 5 = -5*v. Let b(p) be the first derivative of x*p - 3/4*p**4 + 2*p**3 - 5 - 3/2*p**2. Factor b(s).
-3*s*(s - 1)**2
Let q(b) be the first derivative of -b**7/1260 + b**5/180 - 26*b**3/3 + 67. Let y(d) be the third derivative of q(d). Factor y(l).
-2*l*(l - 1)*(l + 1)/3
Let m(r) be the first derivative of r**3 - 33*r**2 - 65*r + 6. Let v(t) = -4*t**2 + 65*t + 64. Let f(k) = 5*m(k) + 4*v(k). Factor f(h).
-(h + 1)*(h + 69)
Let x(o) be the second derivative of -33/20*o**5 + 29/4*o**4 + 1/14*o**7 - 302*o - 13*o**3 + 12*o**2 - 1/10*o**6 + 0. Solve x(w) = 0 for w.
-4, 1, 2
Suppose -10*o = 2*r - 11*o - 19, -3*r + 41 = o. Factor 0*f**2 - 2*f**5 + 3 + r*f**4 - 20*f + 32*f**3 + 4*f**2 - 19 - 10*f.
-2*(f - 8)*(f - 1)*(f + 1)**3
Solve -8200/7*v + 1681/7*v**2 + 10000/7 = 0.
100/41
Let q(u) be the second derivative of 0 + 37/28*u**4 - 293*u - 68/21*u**3 - 1/6*u**6 + 22/7*u**2 + 13/140*u**5 + 1/98*u**7. Solve q(p) = 0 for p.
-2, 2/3, 1, 11
Let l(f) be the second derivative of -5/12*f**4 - 27*f - 5/3*f**3 + 0*f**2 + 0. Factor l(y).
-5*y*(y + 2)
Let f = -3144293/4 + 786074. Factor 21/2 - f*o**2 + 39/4*o.
-3*(o - 14)*(o + 1)/4
Let k(l) be the third derivative of l**6/240 + l**5/120 - l**4/24 - 219*l**2 + 3. What is f in k(f) = 0?
-2, 0, 1
Find t such that -5/4*t**2 - 245*t + 0 = 0.
-196, 0
Let n = -44 + 54. Factor -4*s**4 - 16*s**3 + 10*s**2 + 3101*s**5 - 8*s + n*s**2 + 4*s**3 - 3097*s**5.
4*s*(s - 1)**3*(s + 2)
Let q(b) be the first derivative of 256*b + 79 + 4/3*b**3 + 32*b**2. Suppose q(h) = 0. What is h?
-8
Suppose 1 = p - 5*f, -19 = -3*f - 16. Suppose 0*g = -p*g - 9*g. Suppose 0 + g*k**2 + 4/3*k - 4/3*k**3 = 0. Calculate k.
-1, 0, 1
Let n(w) = 6*w**2 + 39*w + 60. Let c(s) = -13*s**2 - 78*s - 118. Suppose 0 = 9*v + 24 - 51. Let z(p) = v*c(p) + 7*n(p). Factor z(j).
3*(j + 2)*(j + 11)
Let o(m) be the second derivative of 0*m**3 + 2*m**4 + 26*m + 0*m**2 + 0 - 21/20*m**5 - 1/10*m**6. Factor o(q).
-3*q**2*(q - 1)*(q + 8)
Let j(c) = 4*c**2 + 6*c - 1. Let v be j(-2). Suppose -9 = -v*h - 9. Factor h*d + 50 - 114*d - 35*d**2 - 86*d + 35*d.
-5*(d + 5)*(7*d - 2)
Find a such that -2/9*a**2 - 64/3 - 56/9*a = 0.
-24, -4
Let b = -66 + 80. Factor 10*h**4 + b*h**3 - 4*h**4 + h**3 + 18*h - 36*h**2 - 15*h + 12.
3*(h - 1)**2*(h + 4)*(2*h + 1)
Let v(s) = 36 - 3*s**2 - 12*s - 8*s**3 + 9*s**3 - 7*s**2. Let f = 154 - 155. Let g(k) = k**4 + k**3 - k**2. Let b(p) = f*v(p) - g(p). Factor b(c).
-(c - 2)**2*(c + 3)**2
Let a(n) be the first derivative of 3*n**4/4 + 10*n**3 + 42*n**2 + 72*n + 1246. Factor a(j).
3*(j + 2)**2*(j + 6)
Suppose -2*a = -6*a - 5*y + 85, 0 = -5*a + 5*y + 95. Let h be (13/(-4))/((-5)/a). Factor -h*u**2 - 7*u**2 + 0 + 2 - 3*u.
-(4*u - 1)*(5*u + 2)
Let n be -13 + 87*(-27)/(-180). Let v(d) be the first derivative of -n*d**4 - 16/5*d + 4 + 7/15*d**3 - 4/5*d**2. Factor v(g).
-(g - 4)**2*(g + 1)/5
Suppose 1 = t + 6, -5*r - 4*t - 10 = 0. Suppose 8*k = 2*k - r*k. Factor -40*j - 2*j**4 - 4*j**3 + 2*j**2 + k*j**2 + 0*j**4 + 44*j.
-2*j*(j - 1)*(j + 1)*(j + 2)
Suppose -377*i = -388*i - 275. Let a(s) = -s**2 - 32*s - 172. Let p be a(i). Factor 2/9*k - 2/9*k**p + 0 + 0*k**2.
-2*k*(k - 1)*(k + 1)/9
Let y be ((-6)/4)/((-39)/52). Factor -2*p**y + 2*p**2 + 4*p**2 + 2234 - 2354 + 116*p.
4*(p - 1)*(p + 30)
Let r = 712 - 717. Let a be r*(-1 - -4)*18/(-90). Determine l so that 25/6*l**5 - 25/3*l**a - 5/2 + 25/6*l + 5*l**2 - 5/2*l**4 = 0.
-1, 3/5, 1
Let y(g) be the third derivative of -g**6/120 - 23*g**5/30 - 529*g**4/24 - 8288*g**2. Factor y(x).
-x*(x + 23)**2
Let u(c) be the first derivative of 14*c**3/3 + 64*c**2 + 34*c - 62. Let m(l) = -13*l**2 - 126*l - 35. Let j(y) = -2*m(y) - 3*u(y). Factor j(o).
-4*(o + 8)*(4*o + 1)
Suppose -30*l + 37*l + 63 = 0. Let b be 12/20*-3*15/l. Let 7*w**2 - b*w**2 + 10*w**5 - 31*w**3 + 0*w**2 + 8*w**4 + 9*w**3 = 0. Calculate w.
-2, 0, 1/5, 1
Let k be (-7