5*l*(l + 4)/3
Let h = -3399/10 + 340. Let r(n) be the second derivative of 1/15*n**4 - h*n**5 + 1/6*n**3 - 11*n - 1/75*n**6 + 0 - 1/5*n**2 + 1/42*n**7. Solve r(g) = 0 for g.
-1, 2/5, 1
Solve 64/3*m - 4/3*m**5 + 0 - 40/3*m**2 - 20*m**3 + 40/3*m**4 = 0 for m.
-1, 0, 1, 2, 8
Let 4*s**5 - 617*s**3 - 367*s**2 + 204*s**4 + 609*s**2 + 177*s**3 - 1082*s**2 + 436*s + 643 - 7 = 0. What is s?
-53, -1, 1, 3
Let t(v) be the first derivative of 6*v**3 + 0*v**2 + 0*v + 1/12*v**5 - 5/8*v**4 - 1/216*v**6 - 48. Let j(p) be the third derivative of t(p). Factor j(y).
-5*(y - 3)**2/3
Let q be (-44)/6 - (11 - 12)*8. Let c = 5/59 - -191/531. Factor -2/9*g**2 - c + q*g.
-2*(g - 2)*(g - 1)/9
Let i(a) = 101*a**3 + 1097*a**2 + 6415*a + 5323. Let b(q) = 250*q**3 + 2195*q**2 + 12830*q + 10645. Let g(r) = -2*b(r) + 5*i(r). Let g(y) = 0. Calculate y.
-213, -5, -1
Let n(j) = j**3 - 5*j**2 + j + 3. Let a be n(2). Let i be 2/(a + -1 + 9). Factor 0 - 2/21*d - 2/21*d**3 + 4/21*d**i.
-2*d*(d - 1)**2/21
Let p(g) be the second derivative of 29*g - 24*g**2 - 1/3*g**4 - 16/3*g**3 - 1. Suppose p(l) = 0. Calculate l.
-6, -2
Let n = 580 - 578. Factor 11*s**2 + 20*s**2 - 5*s**3 + 2*s**2 - 40*s - 63*s**n.
-5*s*(s + 2)*(s + 4)
Factor 4416392/3 + 2/3*r**2 - 5944/3*r.
2*(r - 1486)**2/3
Let o(l) = -3*l - 6. Let n be o(-3). Suppose 0 = 4*i - n*i - 2. Factor -17*p**i - 22*p**3 + 128 + p**2 - 20*p - 12*p - 56*p**2 - 2*p**4.
-2*(p - 1)*(p + 4)**3
Let y(d) be the second derivative of -22/45*d**6 - 3*d + 38 + 29/15*d**5 - 2*d**2 - 34/9*d**4 + 35/9*d**3 + 1/21*d**7. Determine g so that y(g) = 0.
1/3, 1, 2, 3
Let t = -678 + 716. Let b be 4/t + (-5688)/(-3002). Factor 16/5*r + 1/5*r**b + 64/5.
(r + 8)**2/5
Let d be (-16)/(-30) - 68/9180*18. Determine w so that 13/5*w**3 + 4/5*w**2 + 0 + 11/5*w**4 + 0*w + d*w**5 = 0.
-4, -1, -1/2, 0
Let j(o) be the third derivative of -o**5/20 + 45*o**4/8 + 23*o**3 - 12*o**2 - 197. Suppose j(g) = 0. Calculate g.
-1, 46
Suppose -477*m + 599 = -272 - 83. What is q in 12*q + 3/7*q**m + 0 = 0?
-28, 0
Let l(z) be the first derivative of -z**4 - 4*z**3/3 + 5*z**2 + 16*z + 41. Let o(s) = -s**3 + s**2 - s. Let j(q) = 2*l(q) - 4*o(q). Factor j(i).
-4*(i - 2)*(i + 1)*(i + 4)
Factor 3/4*v + 201/4*v**2 - 3/4*v**3 - 201/4.
-3*(v - 67)*(v - 1)*(v + 1)/4
Let f(g) be the third derivative of -1/1155*g**7 + 3*g**2 + 0*g**3 - 1/330*g**5 + 14*g - 1/330*g**6 + 0 + 0*g**4. Factor f(c).
-2*c**2*(c + 1)**2/11
Suppose 0 = 2*o + 168 + 528. Let b = 351 + o. Find g, given that -2/5*g**2 + 2/5*g**b + 0 - 2/5*g + 2/5*g**4 = 0.
-1, 0, 1
Suppose 5*g - 15 = -4*f, -11 = -5*g + 5*f + 4. Determine h, given that 285 - 10*h**2 - 15*h**5 - 5*h**2 - 50*h + 55*h**4 - 285 + 105*h**g = 0.
-1, 0, 2/3, 5
Let n(g) be the first derivative of -g**6/9 + 2*g**5/5 - g**4/6 - 2*g**3/3 + 2*g**2/3 - 3055. Determine h, given that n(h) = 0.
-1, 0, 1, 2
Let f(l) = -2*l**3 - 62*l**2 + 68*l + 130. Let i be f(-32). Factor 2/5*g**3 - 2*g**2 - 2/5*g + i.
2*(g - 5)*(g - 1)*(g + 1)/5
Let y(v) be the first derivative of 13*v**6/90 - v**5/5 + 4*v**3 - v**2 + 53. Let w(n) be the third derivative of y(n). Determine b, given that w(b) = 0.
0, 6/13
Let s(a) be the first derivative of -a**3/5 + 147*a**2/10 + 30*a + 127. Solve s(v) = 0 for v.
-1, 50
Solve 0*j + 4/17*j**4 - 24/17*j**2 + 0 + 10/17*j**3 = 0 for j.
-4, 0, 3/2
Let w(d) = -18*d**2 - 582*d - 10957. Let l = 210 + -215. Let u(z) = -8*z**2 - 292*z - 5478. Let b(x) = l*u(x) + 2*w(x). Factor b(g).
4*(g + 37)**2
Let a(w) be the second derivative of 11/7*w**3 - 1/70*w**5 - 16/21*w**4 + 0*w**2 + 0 + 12*w. Let a(d) = 0. What is d?
-33, 0, 1
Let d(s) be the third derivative of 0*s + 0*s**3 + 0*s**4 + 0 + 51*s**2 - 1/336*s**7 - 1/240*s**5 + 7/960*s**6. Solve d(c) = 0 for c.
0, 2/5, 1
Let o(h) be the third derivative of h**7/35 + 71*h**6/60 - 33*h**5/10 + 25*h**4/12 + 5258*h**2. Find u, given that o(u) = 0.
-25, 0, 1/3, 1
Let t(r) be the third derivative of -225*r**2 + 0*r - 7/2*r**4 + 13/10*r**5 - 1/140*r**7 - 1/8*r**6 + 0 + 0*r**3. Factor t(y).
-3*y*(y - 2)**2*(y + 14)/2
Suppose 5*s - 25 = -5*w, -3*s - 2*s - 20 = -4*w. Find y such that w*y - 3*y + 3*y**2 - 80*y + 507 = 0.
13
Let f(b) be the second derivative of b**4/6 - 1148*b**3/3 + 329476*b**2 + 2*b - 95. Factor f(o).
2*(o - 574)**2
Suppose 0 = 2*k - 4, o - k = -0*o + 34. Determine z so that -o + 17*z + 0*z + 4*z - 3*z**2 = 0.
3, 4
Solve 5*d**3 + 8*d - 24*d**2 + 2*d**4 + 150 + 2*d - 17*d - 133*d + 7*d**3 = 0 for d.
-5, 1, 3
Let c(v) be the first derivative of v**7/280 - v**6/60 - v**5/40 + v**4/4 - 53*v**3/3 - 62. Let q(p) be the third derivative of c(p). Solve q(d) = 0.
-1, 1, 2
Let q(s) be the third derivative of 59*s**5/390 + 707*s**4/156 - 4*s**3/13 + 2547*s**2. Factor q(a).
2*(a + 12)*(59*a - 1)/13
Let w(r) be the first derivative of -4*r**3/15 + 276*r**2/5 - 19044*r/5 + 944. What is a in w(a) = 0?
69
Suppose -377*q + 779*q = 475*q - 219. Factor -25/2*o + 19/2*o**2 + q.
(o - 1)*(19*o - 6)/2
Let n(q) = -44*q**2 - 40*q + 22. Let y(l) = l**3 + 221*l**2 + 198*l - 121. Let d(s) = 11*n(s) + 2*y(s). Determine x, given that d(x) = 0.
-1, 0, 22
Let d(h) = 156*h + 786. Let k be d(-5). Let y(w) be the first derivative of 0*w - w**3 + w**k + 3/5*w**5 - 3/2*w**4 + 0*w**2 - 17. Determine l so that y(l) = 0.
-1, -1/2, 0, 1
Let k be 8634/(-10073)*(3 - (-2 + 170 + -4)). Find d such that 108 - 2*d**3 - 104/3*d**2 - k*d = 0.
-9, 2/3
Suppose 3397779 = 17*v + 3397694. Suppose 1/3*n**4 - 1/6*n**v + 1/3 + 1/3*n**3 - 1/6*n - 2/3*n**2 = 0. What is n?
-1, 1, 2
Determine r, given that 8*r + 16*r**2 - 136*r**4 + 0*r**3 - 32*r + 2*r**3 + 134*r**4 = 0.
-3, 0, 2
Let w(i) be the second derivative of -i**6/300 + i**5/75 - i**4/60 - 45*i**2/2 - 2*i - 49. Let f(k) be the first derivative of w(k). Factor f(v).
-2*v*(v - 1)**2/5
Let o be (-17600)/(-3520) + 385/3. Find d, given that -60*d**2 + o*d - 250/3 + 32/3*d**3 - 2/3*d**4 = 0.
1, 5
Let s(z) be the first derivative of -z**6/24 + 3*z**5/5 + 5*z**4/4 - 13*z**3/2 - 163*z**2/8 - 39*z/2 + 8130. Solve s(c) = 0 for c.
-2, -1, 3, 13
Let q(s) = s**3 - 2*s**2 - 4*s + 5. Let g be q(3). Factor -1467*x - 5*x**4 + 1461*x + 9*x**g + 2*x**4.
-3*x*(x - 1)**2*(x + 2)
Let k be 9/11 - 49400/(-2717). Factor 361/2 + k*t + 1/2*t**2.
(t + 19)**2/2
Let z(f) be the second derivative of 2 - f**2 + 2*f - 1/24*f**4 - 5/12*f**3. Factor z(x).
-(x + 1)*(x + 4)/2
Let c = 2304659/2765598 + 1/460933. Determine i, given that 31/2*i**3 - 7/2*i + 3*i**4 - c + 11/6*i**2 = 0.
-5, -1/3, 1/2
Suppose -w + 808 = -4*x, 5*x = 15 - 0. Solve -5*z**2 - z**2 - 92*z + 0*z**2 + 7*z**2 + w + 1296 = 0 for z.
46
Factor -13/3*c - 11/6*c**2 - 8/3 - 1/6*c**3.
-(c + 1)*(c + 2)*(c + 8)/6
Let l be 24/192 - 2/((-64)/(-12932)). Let j be 0 + 9 - (-3535)/l. Suppose -3/4*x + 1/4 + 3/4*x**2 - j*x**3 = 0. Calculate x.
1
Let i = 712226 - 712224. Factor -4/7*q**i + 0 - 6/7*q + 2/7*q**3.
2*q*(q - 3)*(q + 1)/7
Let f(m) be the first derivative of 2*m**3/27 - 34*m**2/3 + 400*m/9 + 1578. Solve f(a) = 0.
2, 100
Let y(n) be the third derivative of 1/160*n**5 + 1/1680*n**7 + 0*n + 1/320*n**6 + 1/192*n**4 + 37 - n**2 + 0*n**3. Factor y(m).
m*(m + 1)**3/8
Let z = -15 + 24. Suppose 0 = 3*s - z - 0. Factor 126*r + 9*r**3 - 124*r - 4*r**2 - 5*r**4 + r**5 - s*r**2.
r*(r - 2)*(r - 1)**3
Let y(i) be the first derivative of -i**6/72 - i**5/24 + 5*i**4/2 + 124*i**3/3 + 178. Let f(m) be the third derivative of y(m). Factor f(n).
-5*(n - 3)*(n + 4)
Suppose -l = 13 - 8. Let v be ((-4)/10*l)/(7 - 1). Determine w so that -5/3*w**2 - 2/3*w + 1/3*w**4 - w**3 + v*w**5 + 0 = 0.
-1, 0, 2
Let y(m) be the third derivative of -m**6/480 + m**5/20 + 31*m**4/96 - 7*m**3/4 - 5301*m**2. Factor y(l).
-(l - 14)*(l - 1)*(l + 3)/4
Let u(j) be the first derivative of j**6/60 - 89*j**5/10 - 223*j**4/20 + 5455. Determine o so that u(o) = 0.
-1, 0, 446
Suppose 3*l = 7*l - 5*o + 7, -5*l = -4*o + 2. Suppose 5*c**2 - l*c**2 - 32*c**3 + 7*c**2 + 4*c + 18*c**4 + 0*c**3 = 0. What is c?
-2/9, 0, 1
Find o such that 108/5*o**2 + 48/5*o**3 - 144/5 - 16/5*o + 4/5*o**4 = 0.
-9, -2, 1
Let q(z) be the second derivative of z**5/360 - z**4/144 - 95*z**2 - 291*z. Let d(k) be the first derivative of q(k). Let d(v) = 0. Calculate v.
0, 1
Factor -5*x**3 - 24 - 4214*x + 1475*x + 145*x**2 + 2119*x + 504.
-5*(x - 24)*(x - 4)*(x - 1)
Suppose -3*