2)/11
Let g = 126137 - 126134. Solve 24/5 + 6/5*k**g - 6/5*k - 24/5*k**2 = 0 for k.
-1, 1, 4
Let j(h) be the third derivative of h**6/6 - 39*h**5/5 + 173*h**4/3 - 80*h**3 - 3620*h**2. Factor j(p).
4*(p - 20)*(p - 3)*(5*p - 2)
Let b(k) = -254*k + 14. Let l be b(-1). Factor 2*i**4 - 280*i + l - 156*i**2 + 132 - 4*i**4 + 38*i**3.
-2*(i - 10)**2*(i - 1)*(i + 2)
Factor -329476 - 330050*y - 2297/4*y**2 - 1/4*y**3.
-(y + 1)*(y + 1148)**2/4
Suppose -3*x = -9*x + 4578. Let g = 10 + -5. Suppose -x + 763 + 5*z**2 - 10*z + g*z**3 = 0. What is z?
-2, 0, 1
Let g(o) be the second derivative of 119*o**6/10 + 1929*o**5/20 + 61*o**4 + 10*o**3 + 4252*o. Solve g(c) = 0.
-5, -2/7, -2/17, 0
Let h = 3 - -3. Suppose h*v + 21 = 13*v. Find y such that -21*y**3 + 28*y - 12 + 40*y**v - 2*y**2 - 18*y**2 - 15*y**3 = 0.
1, 3
Let q(p) = -16*p**2 + 40*p + 20. Let u(j) = -j - 1. Suppose 4*i - 27 + 14 = 5*n, -i + 5 = -3*n. Let k(z) = n*q(z) - 12*u(z). Factor k(g).
4*(g - 2)*(4*g + 1)
Let h(o) be the first derivative of -o**3/15 - 21*o**2/10 - 54*o/5 + 6940. Let h(n) = 0. What is n?
-18, -3
Let u(p) = p**2 - 48*p - 84. Let b be u(32). Let d be b/(-48) - (-33)/(-44). Factor 25/3*n**3 - 12 + d*n**2 - 8*n.
(n - 1)*(5*n + 6)**2/3
Factor 5538/7*f - 1/7*f**2 - 7667361/7.
-(f - 2769)**2/7
Let l be (9/10 + (-8)/20)*4. Determine s so that -5*s**2 - 32 - 10*s - 3*s**2 + 3*s**l + 27 = 0.
-1
Determine t, given that 0*t**2 + 516/5*t**3 - 3/5*t**4 + 0 + 0*t = 0.
0, 172
Suppose 7356 - 513*k**2 - 53*k**3 + 9*k**4 + 19*k + 217*k**3 - 7272 + 237*k = 0. Calculate k.
-21, -2/9, 1, 2
Suppose 3*h = 2*h + 6. Let x be -15*(0 - 8/h). Factor -2*i**2 + 60*i - 10*i**2 - x - 13*i**2.
-5*(i - 2)*(5*i - 2)
Let p(r) be the second derivative of 51*r**5/80 + 15*r**4/16 - 13*r**3 + 9*r**2/2 + 70*r + 38. Factor p(v).
3*(v - 2)*(v + 3)*(17*v - 2)/4
Let w be -1 + (-2 - 1) + (466488/231)/24 + -3. Find g such that -24300/7*g**2 + 364500/7*g - 4/7*g**4 + w*g**3 + 0 = 0.
0, 45
Let v(s) be the first derivative of 3*s**5/10 - 137*s**4/8 + 67*s**3/3 + 2866. Factor v(c).
c**2*(c - 1)*(3*c - 134)/2
Let k(z) be the first derivative of z**4/4 + 28*z**3/3 + 75*z**2/2 - 2456. Solve k(c) = 0.
-25, -3, 0
Let u(p) = 13*p**3 + 16*p**2 - 21*p + 17. Let a(c) = -5*c**3 - 8*c**2 + 11*c - 8. Suppose 94 - 2 = 46*s. Let m(q) = s*u(q) + 5*a(q). Let m(l) = 0. What is l?
1, 6
Let f = -486 + 495. Let k be -10 + (f - -8) - (2 - -3). Find x, given that 0*x + 0 - 3/4*x**4 + 1/4*x**k - 1/2*x**3 = 0.
-1, 0, 1/3
Let u(m) be the first derivative of -7*m**2 + 12*m + 2/3*m**3 + 25. Factor u(a).
2*(a - 6)*(a - 1)
Let y(i) = 258*i**3 + 313*i**2 - 593*i + 67. Let c(w) = w**3 + w**2 + 14*w - 1. Let f(a) = 3*c(a) - y(a). Solve f(q) = 0 for q.
-7/3, 2/17, 1
Let n(h) be the third derivative of 2*h - 1/140*h**5 - 361/14*h**3 + 0 + 7*h**2 - 19/28*h**4. Let n(l) = 0. Calculate l.
-19
Let q(v) = -5*v**3 - 10*v**2 - 13*v. Let n(z) = z**3 + z**2 + 2*z + 3. Let m(b) = -4*n(b) - q(b). Factor m(k).
(k - 1)*(k + 3)*(k + 4)
Let h = -75 + 35. Let y = -27 - h. Factor 3 + 66*p**3 + y*p**5 + 106*p**4 + 54*p**2 + 21*p - 4*p**5 - 67*p**4.
3*(p + 1)**4*(3*p + 1)
Let f = 7419 + -74189/10. Let p(o) be the second derivative of f*o**3 - 10*o + 0 + 1/20*o**4 + 0*o**2. Determine d, given that p(d) = 0.
-1, 0
Solve 59/9*q**3 - 28*q + 1/9*q**5 - 36 + 149/9*q**2 - 17/9*q**4 = 0 for q.
-2, -1, 2, 9
Let 24*m**3 - 54*m - 5*m**5 - 1071*m**2 + 1107*m**2 + 2*m**5 - 4*m**4 + m**5 = 0. Calculate m.
-3, 0, 1, 3
Let y(b) be the third derivative of -b**8/336 + 3*b**7/10 + 49*b**6/30 + 11*b**5/5 - 763*b**2. Solve y(z) = 0 for z.
-2, -1, 0, 66
Let a be 206/(-3)*(-30)/100 - (141 + -128). Find i such that 8*i**2 + 8/5*i + 0 - 76/5*i**4 - a*i**3 + 66/5*i**5 = 0.
-2/3, -2/11, 0, 1
Let n = 12991 + -623567/48. Let l(i) be the second derivative of -1/16*i**3 + n*i**4 + 1/160*i**5 + 0*i**2 + 16*i + 0. Factor l(f).
f*(f - 1)*(f + 3)/8
Solve -416/17*j - 2/17*j**2 - 414/17 = 0.
-207, -1
Let w(k) = 11*k**2 - 79*k - 133. Let b(m) = -40*m**2 + 312*m + 531. Let t(h) = -6*b(h) - 22*w(h). Let t(n) = 0. Calculate n.
-65, -2
Suppose 13*l - 21334 - 1533 = 0. Let f = -406 + l. Suppose 3*u**4 + 6*u**3 + 1353 - f = 0. What is u?
-2, 0
Let t(j) be the first derivative of -4*j**3/9 - 12104*j**2/3 - 36626704*j/3 - 2191. Suppose t(m) = 0. What is m?
-3026
Let n(h) be the third derivative of h**7/525 - 101*h**6/900 + 187*h**5/450 + 101*h**4/180 - 38*h**3/9 + 2076*h**2. Let n(z) = 0. Calculate z.
-1, 1, 2, 95/3
Let i(u) = u - 7. Let q be i(12). Suppose 2*t + 6 = q*t. Suppose 2 - 2*o + o**t + o - 2*o**2 = 0. Calculate o.
-2, 1
Let g be ((-5)/(-2) + -2)/(1/290). Let y be (-1)/(-5) - (-203)/g. Factor -y*u + 4/5*u**2 + 8/5*u**3 - 6/5 + 2/5*u**4.
2*(u - 1)*(u + 1)**2*(u + 3)/5
Suppose -326 - 150*f + 674 - 2*f**2 - 3156 = 0. What is f?
-39, -36
Let t(d) be the third derivative of -d**6/300 + 2*d**5/3 - 49*d**4/15 - 48*d**2 + 4*d. Suppose t(j) = 0. Calculate j.
0, 2, 98
Let x be ((220/33)/(-10))/(4/84). Let w be 140/x*3/(-6). Factor u**2 - 5/3*u**3 + 1/3*u**w + 0 + 4/3*u - u**4.
u*(u - 4)*(u - 1)*(u + 1)**2/3
Let n be 5/(-14)*7756/(-1385). Solve -8/3 + 46/3*p - 11/3*p**n = 0 for p.
2/11, 4
Let q(f) = 41*f - 26. Let j be q(1). Let z(k) be the second derivative of 1/4*k**2 + 1/24*k**3 + 1/16*k**5 + j*k + 0 - 1/6*k**4. What is d in z(d) = 0?
-2/5, 1
Let f be 24/28 + 643/(-56) + 12. Find r such that r + 3/8*r**2 - 1/2 + 1/8*r**4 + 3/8*r**5 - f*r**3 = 0.
-2, -1, 2/3, 1
Let r(q) be the third derivative of -q**8/840 + q**7/84 - q**6/45 + 23*q**3/2 - 62*q**2. Let y(w) be the first derivative of r(w). What is a in y(a) = 0?
0, 1, 4
Let r(o) = -o**3 + 96*o**2 + 223*o + 110. Suppose -95*h + 30 = -89*h. Let y(b) = 95*b**2 + 225*b + 110. Let c(q) = h*r(q) - 4*y(q). Let c(s) = 0. Calculate s.
-1, 22
Let w = 94 - 69. Let g be ((-81)/15)/(12/(-40)). What is u in 5*u**2 + w*u + g + 12 + 0*u**2 = 0?
-3, -2
Suppose 177*r + 756*r - 244*r - 1378 = 0. Factor 9/4*s - 9/2 - 1/4*s**r.
-(s - 6)*(s - 3)/4
Suppose 845*h + 1581*h - 5391 - 4989 = 1750. Factor -2/15*n**2 + 0*n + 2/15*n**3 + 0 + 2/15*n**4 - 2/15*n**h.
-2*n**2*(n - 1)**2*(n + 1)/15
Let h(u) be the third derivative of -u**7/210 - 11*u**6/120 + 6*u**5/5 + 15*u**4/2 - 6*u**2 - 346*u. Solve h(a) = 0.
-15, -2, 0, 6
Let k(v) be the first derivative of 0*v + 92 + 3/14*v**4 - 3/7*v**2 - 1/21*v**3 + 1/35*v**5. Solve k(p) = 0.
-6, -1, 0, 1
Let w(g) be the first derivative of -g**9/1512 + g**8/420 - g**6/90 + g**5/60 + 20*g**3 - 52. Let u(j) be the third derivative of w(j). Solve u(a) = 0 for a.
-1, 0, 1
Let u(a) be the first derivative of 26*a**4 - 12/5*a**5 + 0*a + 102 + 0*a**2 - 64/3*a**3. Suppose u(g) = 0. What is g?
0, 2/3, 8
Let x be (-89 + (6 - -88))*(-48)/(-50). Factor -36/5*g - 3/5*g**3 - x - 18/5*g**2.
-3*(g + 2)**3/5
Let u be 1/14*(-98)/(-14). Let j(n) be the second derivative of 0 + 2/3*n**2 + 4*n - 4/45*n**6 + u*n**5 - 8/9*n**4 + 1/3*n**3. Solve j(c) = 0.
-1/4, 1, 2
Let p(h) = 19*h**3 + h**2 - 7*h. Suppose -4*m + 0*m - 16 = 4*s, -8 = -4*s. Let t(o) = 3*o**3 - o. Let u(q) = m*p(q) + 39*t(q). Let u(b) = 0. What is b?
0, 1
Let f(i) be the first derivative of -45*i**4/4 + 2125*i**3/3 - 4105*i**2 + 1720*i + 5466. Find l, given that f(l) = 0.
2/9, 4, 43
Let u(z) be the second derivative of -z**4/6 - 3046*z**3/3 + 3047*z**2 - 9689*z. Suppose u(h) = 0. Calculate h.
-3047, 1
Let x = -4/2181 - -486379/8724. Let n = x + -653/12. Solve -2/9*j**2 + n*j - 10/9 = 0 for j.
1, 5
Factor -57 - 1/3*i**2 - 172/3*i.
-(i + 1)*(i + 171)/3
Suppose 86*l - 84*l + 2*z = 0, 5*l - 3*z - 32 = 0. Solve 85 - 18*s**2 - 161 - 122*s + 112 + l*s**2 = 0 for s.
-9, 2/7
Solve -17*q + q**4 + 39*q + 16*q**3 - 38*q - q**2 = 0.
-16, -1, 0, 1
Let -403/2*b - 5*b**2 - 60 = 0. Calculate b.
-40, -3/10
Let n be (15/6)/((-99)/(-66)). Let t(g) be the first derivative of 0*g**2 - n*g**3 + 0*g + 15 - 5/2*g**4 + 5/3*g**6 + g**5. Find v, given that t(v) = 0.
-1, -1/2, 0, 1
Suppose 179*g + 69*g = 342*g. Let p(c) be the second derivative of -4*c**3 - 25*c - 27/2*c**2 + 1/4*c**4 + g. Find f such that p(f) = 0.
-1, 9
Let h = 24497/549 - 431/61. Solve -2/9*f**3 + 50/9*f**2 - h - 286/9*f = 0.
-1, 13
Let i(v) be the second derivative of 4*v**6/105 + 109*v**5/70 + 27*v**4/2 - 855*v**3/7 - 675*v**2/7 - 2*v - 1382. Determine k so that i(k) = 0.
-15, -1/4, 3