second derivative of m**6/10 - 369*m**5/5 - 987*m**4/4 - 247*m**3 - 12*m + 66. Factor p(k).
3*k*(k - 494)*(k + 1)**2
Solve -2592/5*a**2 + 0*a - 36/5*a**4 - 756/5*a**3 + 0 + 3/5*a**5 = 0.
-6, 0, 24
Let c(f) be the third derivative of f**5/240 - 23*f**4/96 + 21*f**3/4 - 634*f**2. Factor c(o).
(o - 14)*(o - 9)/4
Suppose -269 = -7*m - 262. Suppose -10*z + m + 29 = 0. Factor -1/2*v**2 + 0*v + 0 + 1/2*v**z.
v**2*(v - 1)/2
Let w = 52771 - 369394/7. Factor 0 + 3*p**3 + 27/7*p + 45/7*p**2 + w*p**4.
3*p*(p + 1)*(p + 3)**2/7
Factor 20/3*t**2 + 2/3*t**3 + 14/3*t - 12.
2*(t - 1)*(t + 2)*(t + 9)/3
Suppose -145*u**3 - 9 - 6*u - 126*u**3 - 3*u**2 + 232*u**3 + 45*u + 12*u**4 = 0. Calculate u.
-1, 1/4, 1, 3
Let r(t) = 3*t**3 + 3 + 11*t**3 - 5*t - 12*t**3. Let l(s) = 10*s**3 - 24*s + 14. Let y(g) = -3*l(g) + 14*r(g). Let y(v) = 0. What is v?
-1, 0, 1
Factor -39 + 14*a - 1/3*a**2.
-(a - 39)*(a - 3)/3
Let z(o) = 13*o**4 + 123*o**3 + 488*o**2 + 523*o - 10. Let t(d) = 84*d**4 + 800*d**3 + 3172*d**2 + 3400*d - 64. Let h(n) = 5*t(n) - 32*z(n). Factor h(l).
4*l*(l + 2)*(l + 3)*(l + 11)
Suppose -84*d - 98 - 27/2*d**4 + 167/2*d**3 + 223/2*d**2 + 1/2*d**5 = 0. What is d?
-1, 1, 14
Suppose 14*x - 170 - 194 = 0. Solve -x*b + 8*b - 16*b**4 + 12*b**3 + 68*b**2 - 30*b - 16 = 0.
-2, -1/4, 1, 2
Let z = 47607 - 333246/7. Factor 9/7*h - z*h**2 - 6/7.
-3*(h - 2)*(h - 1)/7
What is s in 42 + 69/4*s + 3/2*s**2 = 0?
-8, -7/2
Determine o so that 48/5*o**3 + 0 + 0*o**2 + 0*o + 2/5*o**5 - 28/5*o**4 = 0.
0, 2, 12
Let b be (2 - (-120)/(-225)*6)*-2. Determine o so that -90*o**5 - b*o**3 + 0 + 0*o - 12/5*o**2 + 57*o**4 = 0.
-1/6, 0, 2/5
Let l = 650 - 641. Factor 17*a - 6*a - l*a + 2*a**2.
2*a*(a + 1)
Let w(g) be the second derivative of g**4/30 - 5*g**3/3 + 114*g**2/5 + 41*g + 26. Factor w(l).
2*(l - 19)*(l - 6)/5
Let f(r) be the first derivative of -r**6/8 - 93*r**5/20 - 549*r**4/16 + 991*r**3/4 + 561*r**2/2 - 2601*r + 2449. Solve f(x) = 0 for x.
-17, -2, 2, 3
Let t = 336 - 216. Let p be (3 + -2)/1 + (-30)/t. Let -15/4*c - 15/2*c**3 - p*c**5 + 15/2*c**2 + 15/4*c**4 + 3/4 = 0. Calculate c.
1
Let d(r) be the second derivative of 1 + 11/2*r**3 + 1/4*r**4 + 7*r - 18*r**2. Determine m so that d(m) = 0.
-12, 1
Let q(n) = 9*n**5 + 437*n**4 + 152*n**3 - 11*n**2 + 11. Let o(x) = 3*x**5 + 146*x**4 + 51*x**3 - 4*x**2 + 4. Let k(g) = 11*o(g) - 4*q(g). Solve k(i) = 0 for i.
-47, -1/3, 0
Let r(o) = -o**4 + o**2 - o. Suppose 0*l - 33*l = -132. Let g(j) = 8*j**4 + 8*j**3 - 8*j**2 - 4*j. Let b(z) = l*r(z) + g(z). Suppose b(t) = 0. Calculate t.
-2, -1, 0, 1
Let t(r) = -r**3 + r**2 + 2*r - 3. Let q be t(0). Let v be (0/q)/(0 - 2). Find u such that v*u**3 - u**3 - 4*u + 0*u**2 + 5*u**2 = 0.
0, 1, 4
Let t(s) be the first derivative of 1323/2*s + 229 - 41/2*s**3 - 1197/4*s**2 - 3/8*s**4. Factor t(w).
-3*(w - 1)*(w + 21)**2/2
Let o(c) = c**2 - 7*c - 8. Suppose 0 = -x - 2 + 3. Let f(t) = -t**2 - t. Let m(d) = x*o(d) + 2*f(d). Suppose m(h) = 0. Calculate h.
-8, -1
Let k(t) be the second derivative of -t**4/3 - 724*t**3 - 589698*t**2 - 630*t + 1. Factor k(b).
-4*(b + 543)**2
Let t(h) be the second derivative of h**7/189 + 8*h**6/27 + 397*h**5/90 - 61*h**4/27 - 1280*h**3/27 - 800*h**2/9 - 426*h. Solve t(p) = 0.
-20, -1, 2
Solve -1/4*h**2 + 201/4 + 16*h = 0 for h.
-3, 67
Let m = 873207929/546 + -1599281. Let a = m - 5/78. Solve 0 - a*n**3 + 9/7*n**2 - 4/7*n + 1/7*n**4 = 0.
0, 1, 4
Let k be 5 - (-3)/(-4)*4. Suppose -4 = -2*x - l, l + 7 = 3*x + k*l. Solve 1/6*a**x + 1/6 - 1/6*a**2 - 1/6*a = 0 for a.
-1, 1
Let j(n) = -n**4 - 2*n**3 + n**2 - 2*n. Let h(w) = -7*w**4 - 2*w**3 - 21*w**2 + 6*w. Let y(x) = h(x) - 6*j(x). Factor y(d).
-d*(d - 6)*(d - 3)*(d - 1)
Factor -68*r + 5*r + 116*r + 91*r - 180*r**2 + 4*r**4 + 32*r**3.
4*r*(r - 3)*(r - 1)*(r + 12)
Let a(u) be the third derivative of 4*u**5/15 - 193*u**4/6 - 98*u**3 - 26*u**2. What is v in a(v) = 0?
-3/4, 49
Suppose 27*b + 24*b = 255. Suppose 2*a = -b*y, 13*a = 12*a - 4*y. Solve -6*q + 14*q**2 + a + 2*q**4 + 34/3*q**3 = 0 for q.
-3, 0, 1/3
Let r(p) be the first derivative of 1/4*p**6 + 3/20*p**5 + 14*p + 20 + 0*p**4 + 0*p**2 + 0*p**3. Let j(w) be the first derivative of r(w). Solve j(c) = 0.
-2/5, 0
Let l(r) be the second derivative of -19*r**4/24 + 667*r**3/12 - 35*r**2/2 - 1925*r. Let l(g) = 0. Calculate g.
2/19, 35
Let o = 905/2 - 4521/10. Find k, given that 6/5*k**2 - 4/5*k + 0 - o*k**3 = 0.
0, 1, 2
Factor 80/3 - l**3 + 92/3*l + 20/3*l**2.
-(l - 10)*(l + 2)*(3*l + 4)/3
Let m(f) be the first derivative of 50*f + 54 - 5/3*f**3 + 15/2*f**2. Factor m(o).
-5*(o - 5)*(o + 2)
Let p(f) = -f**3 - 7*f**2 - 4*f + 14. Let g be p(-6). Factor -4*t**4 + 18*t + 76*t**3 - 8*t**4 - 13*t**3 - 87*t**g.
-3*t*(t - 3)*(t - 2)*(4*t - 1)
Determine i so that 2*i**4 - 6*i**3 + 6*i**4 - 132*i + 2*i**5 - 72*i**2 - 165*i + 225*i - 4*i**3 = 0.
-3, -2, 0, 3
Let x = -11952/161 + 1714/23. Determine m so that -x*m**5 - 10/7*m**3 + 4/7*m**2 + 0 + 8/7*m**4 + 0*m = 0.
0, 1, 2
Let b(y) = -y**3 - 152*y**2 + 121*y - 4896. Let g be b(-153). Suppose -6*p - 1/2*p**2 + g = 0. Calculate p.
-12, 0
Let k(g) be the third derivative of 0*g + 1/9*g**3 + 1/540*g**6 + 77*g**2 + 7/108*g**4 + 0 + 1/54*g**5. Find f such that k(f) = 0.
-3, -1
Let p(d) = 99*d**2 + 5*d - 4. Let s be p(1). Suppose 47*q**4 - 52*q**4 + 2*q**3 + q - s + 19*q + 8*q**3 + 75*q**2 = 0. What is q?
-2, 1, 5
Solve -609*d**2 + 3*d**4 - 41334*d + 14*d**3 + 41037*d + 606 + 283*d**3 = 0.
-101, -1, 1, 2
Let w(r) = -r**2 + 16*r - 6. Let m = 180 + -183. Let q(d) = -d**2 + 15*d - 8. Let p(i) = m*q(i) + 4*w(i). Suppose p(b) = 0. What is b?
0, 19
Let a = -225444 - -225444. Suppose -2/3*k**2 + a - 4/3*k**3 - 2/3*k**4 + 0*k = 0. What is k?
-1, 0
Factor -10222*y**2 - 165 + 5113*y**2 + 38*y + 5108*y**2.
-(y - 33)*(y - 5)
Let d be 2 + 5 + -1 - 2. Suppose -d*v + j = -13, -32*v - 4*j - 30 = -37*v. Suppose 24 + 3/8*m**v + 6*m = 0. What is m?
-8
Let s be (720/(-480))/((-126)/36). Let i be (3 - 2)*4*1. Factor 1/7*a**2 + 3/7*a**3 - s*a + 1/7*a**i - 2/7.
(a - 1)*(a + 1)**2*(a + 2)/7
Let d(o) = -18*o**4 - 42*o**3 - 18*o**2 + 122*o + 84. Let t(q) = 7*q**4 + 14*q**3 + 6*q**2 - 41*q - 28. Let h(n) = 3*d(n) + 8*t(n). Factor h(f).
2*(f - 7)*(f - 2)*(f + 1)**2
Let v = 3484/3975 + 1047/1325. Find z, given that -130/3*z + 0 - v*z**2 = 0.
-26, 0
Factor 0*i - 123/2*i**2 + 0 - 1/4*i**3.
-i**2*(i + 246)/4
Factor 273*x**2 + 108*x**3 - 384 + 5*x + 4*x**4 + 7*x + 374*x**2 - 359*x**2 - 28*x.
4*(x - 1)*(x + 2)**2*(x + 24)
Let h be 6/(-81)*5*1440/(-768). Let n(d) be the second derivative of -h*d**3 - 5/4*d**2 - 5/72*d**4 + 1/24*d**5 + 31*d + 0. Suppose n(c) = 0. Calculate c.
-1, 3
Let o(g) be the third derivative of -g**8/672 + g**7/42 - g**6/16 - g**5/12 + g**4/3 - 2341*g**2. Suppose o(c) = 0. What is c?
-1, 0, 1, 2, 8
Suppose -3*w - w = 36. Let x(a) = -a**3 - 9*a**2 - 2*a - 16. Let l be x(w). Factor 8 - 3*g**3 + 3*g**3 + 11*g**3 - 8*g**l - 4*g - 7*g**3.
4*(g - 2)*(g - 1)*(g + 1)
Let c(u) be the first derivative of -1/4*u**3 - 65 + 9*u - 3/8*u**2. What is n in c(n) = 0?
-4, 3
Let i = 5063 - 10125/2. Let z(o) be the first derivative of -i*o**2 + 1/4*o**3 + 15 - o. Factor z(l).
(l - 2)*(3*l + 2)/4
Let u(d) = -d**4 + 44*d**3 + d**2 - 44*d + 108. Let w(i) = i**4 - 89*i**3 - i**2 + 89*i - 198. Let p(x) = -11*u(x) - 6*w(x). Determine s so that p(s) = 0.
-10, -1, 0, 1
Let i = 4/35 - -58/105. Let t be -23*(-62)/1173 + -4*1/(-34). Solve t*f**2 + i*f - 4/3 - 2/3*f**3 = 0.
-1, 1, 2
Let c(r) = 4*r**2 + 7*r + 3. Let v be c(6). Suppose 72 = 2*u - 5*n + 15, 3*n - v = -5*u. Factor u*a**2 - 300*a**3 + 272*a**3 + 136*a**3 + 3*a.
3*a*(6*a + 1)**2
Suppose 0 = 66*y - 72*y + 480. Factor 2074 - 4*i**3 - 6170 - 102*i**2 - 41*i**2 - y*i**2 - 37*i**2 - 4352*i.
-4*(i + 1)*(i + 32)**2
Let h be 51/21 + (7 - (-90)/(-14)). Factor -6*u**2 - 2564 + 2564 + 3*u**h.
3*u**2*(u - 2)
Let -26/15*q - 2/15*q**2 - 44/15 = 0. What is q?
-11, -2
Let r be (-2 - 2) + -6 + 4. Let s be (-3)/r - (-5 + 5). Suppose -1/2*j**2 - 3/2 + 5/2*j - s*j**3 = 0. Calculate j.
-3, 1
Let o be (8/(-5))/(-1*2/40). Let r(t) = -t + 2. Let n be r(-5). Factor 49*h**2 - o*h**2 + 1 + n + 2*h**3 - 23*h**2.
2*(h - 2)**2*(h + 1)
Let c(h) = -11*h**3 + 2705*h**2 - 367200*h + 364686. Let j(n) = -n**3 + 31. Let w(l) = c(l) - 6*j(l). Factor w(i).
-5*(i - 270)**2*(i - 1