2 - 4*h - 6. Let p(w) be the first derivative of a(w). Find l such that p(l) = 0.
-16, 0
Let w = -167906 + 335813/2. Factor 0 + 9*m**3 + 0*m + w*m**4 + 81/2*m**2.
m**2*(m + 9)**2/2
Factor 52*p**3 + 14*p**2 + 5*p - 10*p**2 + 14*p**2 - 630 - 16*p - 53*p**3.
-(p - 14)*(p - 9)*(p + 5)
Let 592*g**2 - 137*g**2 - 3*g**4 - 432*g - 48*g**2 + 307*g**2 + 1848*g - 705*g**3 = 0. Calculate g.
-236, -1, 0, 2
Let b(x) be the second derivative of -2*x**7/105 + x**6/5 - 3*x**5/5 + 2*x**4/3 - 23*x**2/2 - 2*x + 19. Let s(t) be the first derivative of b(t). Factor s(n).
-4*n*(n - 4)*(n - 1)**2
Let l(m) = -26*m**3 + 5*m**2 + 40*m - 5. Let p(y) = -175*y**3 + 35*y**2 + 280*y - 35. Let a(z) = 15*l(z) - 2*p(z). Determine n, given that a(n) = 0.
-1, 1/8, 1
Suppose -3*n + 4*o = -32, 4*n - 27 - 7 = o. Solve -187*j + 360*j + n - 201*j - 16*j**2 = 0.
-2, 1/4
Let a(u) = 80*u**2 + 7438*u - 184. Let t be a(-93). Determine d, given that 648*d**t + 34992 + 7776*d + 24*d**3 + 1/3*d**4 = 0.
-18
Let q(o) be the third derivative of o**8/5040 + o**7/180 - 2*o**6/45 + 11*o**5/15 + 64*o**2. Let y(g) be the third derivative of q(g). Factor y(v).
4*(v - 1)*(v + 8)
Let t be 2*30/90*3*2. Let v(y) be the first derivative of -5/2*y**4 - t*y + 8 + 16/3*y**3 - y**2. Let v(b) = 0. What is b?
-2/5, 1
Let k(f) = 0*f**4 + f**4 + 2*f**2 - 1 - f**5 + 1 + 3 - 2*f**3 + 3*f. Let d(q) = q**5 - q**4 - q - 1. Let u = -71 + 70. Let p(i) = u*k(i) - 3*d(i). Factor p(s).
-2*s**2*(s - 1)**2*(s + 1)
Suppose -x + 12*x = -550. Let n be (-90)/x + 1/5. What is u in -3/7*u**4 + 0*u**n + 0 + 3/7*u**3 + 0*u = 0?
0, 1
Factor -13944*r**3 + 14 - 821*r**2 + 13947*r**3 + 152 + 545*r - 51 + 158.
(r - 273)*(r - 1)*(3*r + 1)
Let c = -797 - -810. Suppose c*v = 15*v - 8. What is n in -68/3*n**v - 8/3*n + 0 + 10*n**5 + 8/3*n**2 + 38/3*n**3 = 0?
-2/5, 0, 2/3, 1
Let a(v) be the second derivative of 0*v**2 + 1/100*v**5 + 0*v**3 + 11/150*v**6 - 11/60*v**4 + v - 1/210*v**7 + 55. Determine g so that a(g) = 0.
-1, 0, 1, 11
Factor -2/5*i**2 - 1112/5*i + 1114/5.
-2*(i - 1)*(i + 557)/5
Let f = 1460821 - 7303904/5. Factor 258/5*t**2 - f*t + 21/5*t**3 - 78/5.
3*(t - 1)*(t + 13)*(7*t + 2)/5
Solve -2/7*x**3 + 50/7*x**2 + 52/7*x + 0 = 0.
-1, 0, 26
Let j(y) = y**2 - y - 2. Let z(n) = -12*n**2 - 14*n + 16. Let q be (410/123)/(4/(-6)). Let u(x) = q*j(x) - z(x). Suppose u(o) = 0. Calculate o.
-3, 2/7
Factor 8/3*z - 1/6*z**2 + 17/6.
-(z - 17)*(z + 1)/6
Let x = -59 - -61. Let a be x/(-4)*(6 + -10). Factor -44*s + 75*s + 39*s + 50 + 22*s**2 + a*s**3.
2*(s + 1)*(s + 5)**2
Let c(n) = -207*n**2 - 96*n. Let v(z) = 6*z + 13*z**2 + 2 - 2. Let a(i) = -2*c(i) - 33*v(i). Determine q so that a(q) = 0.
-2/5, 0
Let d = -7383 + 7387. Let k(t) be the second derivative of 20*t - 1/4*t**3 + 1/8*t**d + 0*t**2 + 0 - 3/160*t**5. Factor k(m).
-3*m*(m - 2)**2/8
Let z(g) = 30*g**2 + 29*g**2 - 102*g**2 + 222*g**2 - 5042 - 39*g**2 + g**3 + 4899*g. Let c(t) = t**2 + 1. Let x(i) = 4*c(i) + 4*z(i). Let x(j) = 0. What is j?
-71, 1
Let p(k) be the second derivative of 3*k**5/40 + 563*k**4/8 + 79523*k**3/4 + 236883*k**2/4 - 211*k - 4. Factor p(q).
3*(q + 1)*(q + 281)**2/2
Let 13*c**3 - 38*c**3 - 40*c**2 + 96 - 52*c + 21*c**3 = 0. What is c?
-8, -3, 1
Let x(w) be the first derivative of 3*w**5/5 - 27*w**4/2 + 99*w**3 - 303*w**2 + 360*w + 14469. Let x(z) = 0. Calculate z.
1, 3, 4, 10
Let l(c) be the first derivative of -c**6/36 - c**5/30 + 23*c**4/24 - c**3/6 - 15*c**2/2 - 1897. Determine u so that l(u) = 0.
-5, -2, 0, 3
Suppose 9*p + 7 - 43 = 0. Determine y, given that 107*y - 19*y - p*y**3 + 54*y**2 + 17 + 10 + 3 = 0.
-1, -1/2, 15
Let y(m) = 40*m**3 - 120*m**2 + 80*m. Let x be (4 - (-50)/(-15)) + 77/(-3). Let k(r) = -5*r**3 + 15*r**2 - 10*r. Let g(j) = x*k(j) - 3*y(j). Factor g(q).
5*q*(q - 2)*(q - 1)
Let o(w) = w + 1636. Let h be o(0). Let -49*k + h - 83*k + 2*k**2 + 542 = 0. What is k?
33
Let d = -801063 + 801063. Factor d + 2/11*h**4 + 0*h**2 - 6/11*h**3 + 8/11*h.
2*h*(h - 2)**2*(h + 1)/11
Let y = 605 + -264. Let y*d - 689*d + 5*d**3 - 5*d**4 + 343*d + 5*d**2 = 0. Calculate d.
-1, 0, 1
Let c(h) = -10*h**4 + 4*h**3 + 16*h**2 + 20*h - 6. Let u(a) = -a**4 + a**3 + a**2 + a. Let j be 1/11*-134 + (-28)/(-154). Let q(n) = j*u(n) + c(n). Factor q(g).
2*(g - 3)*(g - 1)**2*(g + 1)
Let o(l) be the first derivative of l**5/5 + 7*l**4/4 - 6*l**3 - 1685. Factor o(w).
w**2*(w - 2)*(w + 9)
Determine y so that 5/4*y**5 - 1525*y**4 + 468165*y**3 - 1854400*y**2 + 0 + 1848320*y = 0.
0, 2, 608
Let k(u) be the second derivative of -5*u**7/336 + 71*u**6/120 - 301*u**5/160 - 73*u**4/24 + 13*u**3/4 - u + 19. Find t, given that k(t) = 0.
-1, 0, 2/5, 3, 26
Suppose -3/2*i**4 + 33/2*i**3 + 135/2*i + 0 + 171/2*i**2 = 0. What is i?
-3, -1, 0, 15
Let t = 612578 + -4288022/7. Find q, given that 1/7*q**4 + 0 - 10/7*q**3 + 4*q**2 - t*q = 0.
0, 2, 6
Factor -4/5*n**2 + 5264/5*n - 1731856/5.
-4*(n - 658)**2/5
Factor -2/5*x - 1/10*x**5 - 1/5*x**4 + 3/10*x**3 + 0 + 2/5*x**2.
-x*(x - 1)**2*(x + 2)**2/10
Suppose p = -2*r - 2*r + 6, 6 = 5*r + 2*p. Factor -34*b**2 + 61*b**r - 30*b**2 + 4*b - b**3.
-b*(b - 1)*(b + 4)
Let l(g) be the second derivative of 0*g**3 - 26*g - 1/45*g**6 + 0*g**4 + 0*g**5 + 0*g**2 + 0 - 1/126*g**7. Factor l(t).
-t**4*(t + 2)/3
Let h(d) be the second derivative of -d**5/20 + 15*d**4/8 - 7*d**3 + 189*d**2/2 - d + 97. Let c(k) be the first derivative of h(k). Factor c(m).
-3*(m - 14)*(m - 1)
Let m(t) be the third derivative of 16*t + 0 - 1/42*t**4 + 3*t**2 + 0*t**3 + 11/42*t**5. Solve m(q) = 0 for q.
0, 2/55
Let u(j) be the third derivative of j**5/60 + 53*j**4/8 + 157*j**3/3 + 979*j**2. Suppose u(w) = 0. Calculate w.
-157, -2
Let x(h) = -14 + 2*h**2 - 10 - 5*h - 74*h - 15*h**2. Let p(l) = -41*l**2 - 238*l - 73. Let q(r) = -6*p(r) + 17*x(r). Factor q(g).
5*(g + 3)*(5*g + 2)
Let t = -975735 - -1953819/2. Solve -165/2*l**2 - t*l - 3/2*l**3 - 2187/2 = 0.
-27, -1
Let v = 242603/1091511 - 5/121279. Factor -4/3*w**5 - 2/3*w**2 + 0 + v*w - 10/3*w**3 - 34/9*w**4.
-2*w*(w + 1)**3*(6*w - 1)/9
Let v(j) = -j**5 - 1. Let p(z) = -4*z**5 - 44*z**4 - 242*z**3 - 152*z**2 + 241*z + 191. Let f(d) = p(d) - 5*v(d). Find k such that f(k) = 0.
-4, -1, 1, 49
What is r in -2/9*r**4 - 84*r**2 - 384*r - 576 - 22/3*r**3 = 0?
-12, -6, -3
Let g(j) = -6370*j - 6368. Let q be g(-1). Find c, given that -q - 9/2*c**2 + 1/2*c**3 + 1/2*c**4 + 11/2*c = 0.
-4, 1
Suppose 0 = -9*o - 3*o + 516. Suppose 42*w = o*w - 3. Solve 15*f - 3*f**2 - 8*f**4 + 30*f**3 + w*f**5 - 27*f**2 - 3 - 6*f**4 - f**4 = 0 for f.
1
Let o be (1 + (-8)/3)/(1100/75 + -15). Let v(y) be the first derivative of 0*y + 1/27*y**6 - 2/45*y**o + 0*y**2 + 2/27*y**3 + 6 - 1/18*y**4. Factor v(w).
2*w**2*(w - 1)**2*(w + 1)/9
Let f(n) = -85*n**2 + 2650*n - 5240. Let q(v) = -5*v**2 + 156*v - 308. Let w(u) = 2*f(u) - 35*q(u). Factor w(s).
5*(s - 30)*(s - 2)
Let q(h) = 5*h**3 - 2*h**2 - 16*h + 3. Let y be q(2). Let o(d) be the first derivative of -d**y + 0*d + 1/3*d**2 + 15. Factor o(f).
-f*(9*f - 2)/3
Let l(c) = -2*c**4 + 2*c**3 + 9*c**2 - 3*c - 3. Let m(g) = -3*g**4 + g**2 + 37 - g - 38 + 2*g**4 - g**3. Let q(j) = l(j) - 3*m(j). Factor q(u).
u**2*(u + 2)*(u + 3)
Suppose -3*t = 3*q - 117, 0 = -49*t + 58*t + 3*q - 345. Let n(s) be the first derivative of -8*s**2 + 1/3*s**3 + 64*s - t. Factor n(a).
(a - 8)**2
Let l(f) = f**2 + 5*f - 18. Let z be l(-6). Let y be ((-6)/45 + (-1842)/360)*z. Factor 4 - 49/2*j**3 + y*j**2 - 30*j.
-(j - 2)*(7*j - 2)**2/2
Find i, given that -371*i**3 - 21728*i + 16260*i**2 + 7248 + 205*i**3 + 202*i**3 = 0.
-453, 2/3
Let b(f) = -10*f**4 + 32*f**3 - 2*f**2 - 32*f - 6. Suppose -12*k - 8 = -4*k. Let t(c) = -c**4 - c**2 - 1. Let l(i) = k*b(i) + 6*t(i). Solve l(s) = 0 for s.
-1, 0, 1, 8
Let p(t) be the first derivative of 0*t**2 + 0*t + 4/9*t**3 - 73 + 1/15*t**5 - 1/6*t**6 + 2/3*t**4. Determine k so that p(k) = 0.
-1, -2/3, 0, 2
Let b(i) be the second derivative of i**6/90 + i**5/20 - 5*i**4/36 - i**3/6 + 2*i**2/3 + 253*i + 1. Factor b(w).
(w - 1)**2*(w + 1)*(w + 4)/3
Let p(a) be the first derivative of -1/4*a**4 - 16*a**3 + 247 + 0*a - 288*a**2. Factor p(d).
-d*(d + 24)**2
Let o(u) be the first derivative of 0*u - 1/6*u**2 + 1/30*u**5 - 1/8*u**4 + 1/36*u**6 + 14 - 5/18*u**3. Factor o(h).
h*(h - 2)*(h + 1)**3/6
Let t(y) be the first derivative of y**3/12 - 