**4/36 + 148*x**3/9 + 295*x**2/6 + 5*x + 364. Factor g(o).
(o + 1)*(o + 295)/3
Let g(w) be the first derivative of w**5/240 - w**4/32 - w**3/6 + 42*w**2 - 142. Let h(d) be the second derivative of g(d). Suppose h(n) = 0. Calculate n.
-1, 4
Let w(n) be the first derivative of 7*n**5/100 - n**4/60 + 5*n - 62. Let z(h) be the first derivative of w(h). Factor z(m).
m**2*(7*m - 1)/5
Solve -8/5 - 14/5*l**2 + 4*l - 1/5*l**5 + 4/5*l**4 - 1/5*l**3 = 0 for l.
-2, 1, 2
Let p(s) be the third derivative of 61*s**2 + 1/30*s**5 + 0 + 0*s + s**3 - 1/3*s**4. Determine w so that p(w) = 0.
1, 3
Let b(z) = -z**2 - 28*z + 84. Let i be b(-31). Let l be i/15*65/(-117). Factor l*p**2 + 1/3 - 2/3*p.
(p - 1)**2/3
Factor -1344/5*i + 3/5*i**4 - 624/5*i**2 - 12*i**3 + 0.
3*i*(i - 28)*(i + 4)**2/5
Let c(g) be the second derivative of -2*g**2 + 4/3*g**5 - 16*g + 10/3*g**3 + 85/24*g**4 + 0 + 1/8*g**6. Let a(p) be the first derivative of c(p). Factor a(u).
5*(u + 1)*(u + 4)*(3*u + 1)
Let v(j) = -1312*j**2 + 2274*j - 2262. Let n(z) = -131*z**2 + z. Let p(l) = 20*n(l) - 2*v(l). Factor p(o).
4*(o - 1131)*(o - 1)
Let y(x) be the third derivative of 0*x - 35*x**2 + 1/300*x**6 + 4/5*x**3 - 7/150*x**5 + 1/15*x**4 + 0. Solve y(s) = 0.
-1, 2, 6
Let j = 30101/7 + -4298. Let n(x) be the first derivative of -j*x**2 + 1/21*x**6 + 4/21*x**3 - 18/7*x + x**4 + 2/5*x**5 - 19. Find w such that n(w) = 0.
-3, -1, 1
Let r(x) be the third derivative of -x**7/840 - x**6/48 - x**5/10 + 5*x**4/48 + 25*x**3/24 - 5754*x**2. Factor r(n).
-(n - 1)*(n + 1)*(n + 5)**2/4
Let g(v) = -2*v**2 + 98*v + 14112. Let t be g(-63). Let -2/3*p**4 + 36*p**3 + 0 - 486*p**2 + t*p = 0. What is p?
0, 27
Let g(t) = -60*t - 83. Let o be g(-10). Factor -481*w + o*w + 5*w**4 - 17*w**4 + 16 - 20*w**3 + 12*w**2.
-4*(w + 1)**3*(3*w - 4)
Let p(d) = -28*d**3 + 414*d**2 - 326*d - 9. Let v(x) = 168*x**3 - 2467*x**2 + 1955*x + 55. Let s(m) = -34*p(m) - 6*v(m). Factor s(j).
-2*(j - 12)*(j - 1)*(28*j + 1)
Let c(p) = 2*p**4 + 2*p**3 + p**2 - p + 3. Let l(a) = -11*a**4 - 21*a**3 + 4*a**2 + 42*a - 74. Let q(t) = -6*c(t) - l(t). Let q(w) = 0. Calculate w.
-2, 2, 7
Suppose 4*u - 30 = -2*m, 3*u - 3*m + 0*m = 0. Suppose 10*b - 5*b + 2*n = u, 4*b - 2*n - 22 = 0. Let -3*g**2 + 3*g**3 - 11*g**2 - b*g + 14*g**2 = 0. What is g?
-1, 0, 1
Let z(j) be the third derivative of -j**7/70 + 9*j**6/40 - 13*j**5/20 - 9*j**4/8 + 7*j**3 - 549*j**2. Find d such that z(d) = 0.
-1, 1, 2, 7
Let m(a) be the second derivative of -a**5/40 + 59*a**4/8 - 3481*a**3/4 + 205379*a**2/4 + 5052*a. Determine f, given that m(f) = 0.
59
Let o(b) be the first derivative of -2*b**3/39 - 1103*b**2/13 + 340*b - 7345. Factor o(t).
-2*(t - 2)*(t + 1105)/13
Factor -1/6*d**2 + 51/2 - 8*d.
-(d - 3)*(d + 51)/6
Let r be ((-258)/(-9) + -3 + -23)/4. Let -r*a**3 + 2/3*a - 2/9*a**2 + 2/9 = 0. What is a?
-1, -1/3, 1
Let z(j) = j**2 + 0*j**2 - j**3 - 1 - 592*j - 593*j + 1186*j. Let v(x) = 9*x**3 - 5*x**2 - 17*x + 13. Let u(a) = v(a) + 5*z(a). Suppose u(y) = 0. Calculate y.
-2, 1
Let l(b) = -7*b**4 - 159*b**3 - 285*b**2 + 435*b + 16. Let u(r) = -r**4 - r**3 + r**2 - 3*r + 4. Let h(w) = l(w) - 4*u(w). Factor h(q).
-q*(q - 1)*(q + 3)*(3*q + 149)
Determine w so that -3/4*w**2 - 153/4*w + 609/2 = 0.
-58, 7
What is v in 72 + 226*v**2 - 298/3*v**3 + 14*v**4 - 640/3*v + 2/3*v**5 = 0?
-27, 1, 2
Let d(k) = -9*k - 6. Let h(z) = z - 1. Let m(n) = -d(n) + 6*h(n). Let c = 13 + -25. Let x(l) = l**2 - l. Let y(j) = c*x(j) - m(j). Factor y(b).
-3*b*(4*b + 1)
Determine q, given that -36845*q**2 + 43*q**3 + 65*q - 23*q + 36919*q**2 + 6*q**4 - 5*q**3 = 0.
-3, -7/3, -1, 0
Factor 395*y**2 - 4*y**3 - 262*y**2 - 196*y**2 + 558 - 273*y - 219*y**2 + y**3.
-3*(y - 1)*(y + 2)*(y + 93)
Let i be 1*-5 - (-97 + 13). Let s = i + 149. Factor -227*b**2 - 9*b + 4 - 14 + s*b**2.
(b - 10)*(b + 1)
Suppose 18 = 3*s - 4*m, -3*s - 11*m + 12*m + 9 = 0. Determine j, given that 2 + 15*j**s - 6*j**2 - 3*j - 8*j**2 = 0.
1, 2
Let z(u) be the second derivative of u**6/24 - 7*u**5/6 + 35*u**4/8 + 30*u**3 + 116*u**2 - 3*u - 27. Let g(o) be the first derivative of z(o). Factor g(f).
5*(f - 12)*(f - 3)*(f + 1)
Let y(f) be the third derivative of f**5/160 - f**4/4 - 33*f**3/4 + 1423*f**2. Find d, given that y(d) = 0.
-6, 22
Suppose 10 = -49*m + 50*m - z, -31*z = -2*m + 194. Determine r so that -104/17*r - 2/17*r**5 - 32/17 - 74/17*r**3 - 20/17*r**m - 128/17*r**2 = 0.
-4, -2, -1
Let m(h) be the third derivative of h**5/150 - 7*h**4/15 + 44*h**3/5 + 9*h**2 - 25*h + 4. Factor m(g).
2*(g - 22)*(g - 6)/5
Let x(u) = 3*u**2 - 78*u + 51. Let o(h) = -2*h**2 + 51*h - 34. Let m = 258 - 263. Let r(b) = m*x(b) - 8*o(b). Factor r(f).
(f - 17)*(f - 1)
Find c, given that -22*c**2 - 15*c**2 - 590*c**3 + 94*c**4 - 399*c**4 - 5*c**5 + 47*c**2 + 295 + 595*c = 0.
-59, -1, 1
Let v = -6762 + 6764. Let k(x) be the first derivative of -7 - 6/13*x**3 - 8/13*x - 12/13*x**v - 1/13*x**4. Factor k(z).
-2*(z + 2)**2*(2*z + 1)/13
Suppose -40 = -3*l - 215*v + 220*v, -8 = -l + v. Factor 8/13 - 2/13*n**2 + l*n.
-2*(n - 2)*(n + 2)/13
Suppose 2665 = 39*s - 1079. Let b be (-448)/s + 4 + 1. Factor 0 - 1/3*l**4 + b*l**2 + 2/3*l**3 - 2/3*l.
-l*(l - 2)*(l - 1)*(l + 1)/3
Let f(o) be the second derivative of o**5/90 + 65*o**4/9 - 29*o**3 + 392*o**2/9 + 72*o - 4. Let f(v) = 0. Calculate v.
-392, 1
Let u(h) = h**2 - 4*h + 9. Let b(i) be the first derivative of i**3/3 - 3*i**2 + 8*i + 211. Let a(w) = 6*b(w) - 7*u(w). Factor a(f).
-(f + 3)*(f + 5)
Let u be -1 + 102/9 + (-4)/12. Suppose -7*k + u = -2*k. Factor k*z**2 - 3*z**2 + z + 4*z - 6*z.
-z*(z + 1)
Let t = -8459 - -84599/10. Let j(q) be the first derivative of 0*q**2 + 2/5*q**6 + 27/25*q**5 - 13 + 0*q + t*q**4 + 1/5*q**3. Suppose j(v) = 0. Calculate v.
-1, -1/4, 0
Let t(l) be the second derivative of -3*l**5/20 + 26*l**4 - 3397*l**3/2 + 49923*l**2 + 1475*l - 2. Factor t(v).
-3*(v - 43)**2*(v - 18)
Let v(s) = s**2 + s - 9. Let i = -16 + 19. Let z be v(i). Factor z*r**2 - 4*r**2 - 7*r**2 - 12*r**3 + 4*r**5.
4*r**2*(r - 2)*(r + 1)**2
Let -925/6 - 5/6*a**3 + 615/2*a - 305/2*a**2 = 0. What is a?
-185, 1
Let h = -89 + 94. Suppose -3*p - 2*p - 2 = -4*s, -3*p - 9 = -h*s. Factor -2/17*x**p - 6/17 - 8/17*x.
-2*(x + 1)*(x + 3)/17
Let p(d) be the second derivative of d**6/180 - 5*d**5/4 - d**4/72 + 25*d**3/6 - 270*d. Let p(f) = 0. What is f?
-1, 0, 1, 150
Suppose 10*n - 98 = 292. Let r be (-3 - n/(-9))/(252/54). Solve 0 - 10/7*s**2 - 8/7*s**3 - r*s**4 - 4/7*s = 0.
-2, -1, 0
Let f(g) be the first derivative of 1/11*g**2 + 0*g**3 - 35 - 1/66*g**4 + 37*g. Let t(u) be the first derivative of f(u). Suppose t(v) = 0. What is v?
-1, 1
Let 3327/8*f**2 - 3321/8*f**3 + 1101/8*f**4 + 3/8*f**5 + 0 - 555/4*f = 0. What is f?
-370, 0, 1
Let i(s) be the third derivative of s**5/20 - 37*s**4/4 + 72*s**3 - 2800*s**2. Suppose i(q) = 0. Calculate q.
2, 72
Suppose q = 3*l + 23, 57*l - 54*l + 15 = -3*q. Let z(m) be the first derivative of 0*m - 22/3*m**3 - 23 - 2*m**q. Factor z(i).
-2*i*(11*i + 2)
Let t(x) be the first derivative of -x**6/360 + x**5/10 - 3*x**4/2 - 55*x**3/3 - 2*x - 67. Let z(n) be the third derivative of t(n). Solve z(j) = 0.
6
Let q be 392/(-294)*135/(-60). Factor 0*h**2 - 2/5*h**q + 0 + 2/5*h.
-2*h*(h - 1)*(h + 1)/5
Let b(f) = f**2 + 14*f + 59. Let d be b(-6). Let r be d + (2629/(-121) - -11). Determine q, given that 0*q**3 + 0 - r*q**4 - 1/11*q**5 + 0*q + 4/11*q**2 = 0.
-2, 0, 1
Let y(k) be the third derivative of k**5/36 - 185*k**4/36 + 355*k**3/6 + 1138*k**2. Determine c so that y(c) = 0.
3, 71
Let q = 5078 - 5078. Let a(k) be the second derivative of 1/70*k**5 + 0*k**4 + 2/105*k**6 - 2*k + 0*k**2 + q*k**3 + 1/147*k**7 + 0. Find b, given that a(b) = 0.
-1, 0
Factor 0 - 1/3*i**3 - 482/3*i + 161*i**2.
-i*(i - 482)*(i - 1)/3
Suppose 0 = 5*m + 2*m + 658. Let q = 335 + m. Determine b so that 3 + 250*b - q*b + 3*b**2 + 3 = 0.
-2, -1
What is y in -8*y - 76*y**2 + 1107 + 60*y - 586 - 521 = 0?
0, 13/19
Suppose 2*v = 8, 2*i - 21*v - 24 - 16 = -22*v. Find r, given that i + 1/2*r**5 + 24*r + 1/2*r**2 - 1/2*r**4 - 13/2*r**3 = 0.
-2, -1, 3
Let g(i) = -3*i**3 - 39*i**2 + 4*i + 54. Let o be g(-13). Solve -21*n**o - n**3 + 10*n - 23 + n**2 + 11*n + 23 = 0.
-21, 0, 1
Let k = 4215 + -63217/15. Let t(w) be the second derivative of 0*w**2 - k*w**3 - 2/15*w**4 + 0 + w