21)/(-6))*j. Factor -96*h**2 + u + 9*h + 99*h**2 + 0*h.
3*(h + 1)*(h + 2)
Let x = 4802 + -926779/193. Let p = 1979/1351 - x. What is t in p*t**4 + 12/7*t + 0 - 36/7*t**3 + 2*t**2 = 0?
-2/5, 0, 1, 3
Determine z so that -3/2*z**3 - 9*z**2 + 57/2*z + 36 = 0.
-8, -1, 3
Let n be 6 + (-3 - (-21)/3 - 6). Determine g so that 10*g**2 - g**3 - 6*g**n - 5*g**3 - 4*g**3 + 0 + 10*g - 4 = 0.
-2, -1, 1/3, 1
Let a(v) be the first derivative of v**3/3 - 15*v**2 + 161*v - 145. Factor a(b).
(b - 23)*(b - 7)
Let d = 397/5 - 124256/1565. Let w = d - -932/2191. Factor 36/7*f**2 + 30/7*f + 18/7*f**3 + 9/7 + w*f**4.
3*(f + 1)**3*(f + 3)/7
Let s(p) = p**3 - 11*p**2 + 23*p - 16. Let j(f) = f**3 - f**2 + f. Suppose -4*y - 2 = -3*y - 5*o, 8 = -4*y + 2*o. Let t(k) = y*s(k) - 2*j(k). Factor t(a).
-4*(a - 2)**3
Let z = -27056 - -27056. Let z - 2/5*x**3 - 24/5*x**2 - 72/5*x = 0. Calculate x.
-6, 0
Suppose -5*c + 65 = 5*l, 3*l = c + 3*c - 17. Let t be 6/c*(-6)/(-15)*10. Factor -16*y**2 - 11*y**5 + 13*y**5 + 4*y**2 - 14*y**t.
2*y**2*(y - 3)*(y + 1)*(y + 2)
Let n(j) = 8*j**2 - 192*j + 866. Let s be n(6). What is y in 32/7*y - 4/7*y**s + 80/7 = 0?
-2, 10
Let h(y) be the third derivative of -y**8/1848 - 2*y**7/385 + 3*y**6/55 - 4*y**5/33 - 125*y**2. Factor h(d).
-2*d**2*(d - 2)**2*(d + 10)/11
Let l(s) be the first derivative of -s**4/10 - 88*s**3/15 - 201*s**2/5 - 468*s/5 + 1228. Let l(j) = 0. What is j?
-39, -3, -2
Let u(f) = 21*f**3 + 51*f**2 - 138*f + 120. Let m(q) = -19*q**3 - 50*q**2 + 139*q - 118. Let t(x) = 9*m(x) + 8*u(x). Solve t(b) = 0 for b.
-17, 1, 2
Factor 264*j**2 - 1648928 + 269*j**2 + 267*j**2 + 260*j**2 - 3632*j - 1062*j**2.
-2*(j + 908)**2
Let d(j) be the first derivative of -j**5/100 - j**4/5 - 3*j**3/2 - 167*j**2/2 - 2*j + 173. Let p(b) be the second derivative of d(b). Solve p(u) = 0 for u.
-5, -3
Let i(y) be the second derivative of y**5/30 + 83*y**4/18 - 169*y**3/9 + 85*y**2/3 + 145*y. Factor i(a).
2*(a - 1)**2*(a + 85)/3
Suppose 5*t + 4*p = -133, -3*t - 67 - 16 = 4*p. Let m be 29 + t - (-4)/9. Determine s so that -m*s**2 - 2*s**5 - 20/3*s**4 + 0 - 74/9*s**3 - 8/9*s = 0.
-1, -2/3, 0
Suppose -71*x - 26879*x**2 + 26936*x**2 + 3*x**3 - 55*x = 0. Calculate x.
-21, 0, 2
Factor 2/3*p**2 + 44/3*p + 64.
2*(p + 6)*(p + 16)/3
Let r(q) = 19*q**5 + 25*q**4 - 447*q**3 + 1033*q**2 - 7. Let f(c) = -17*c**5 - 25*c**4 + 446*c**3 - 1034*c**2 + 6. Let u(h) = 7*f(h) + 6*r(h). Factor u(l).
-5*l**2*(l - 4)**2*(l + 13)
Let t(s) = -371*s**2 + 194*s - 31. Let y(a) = -740*a**2 + 389*a - 61. Suppose -81*v + 85*v - 28 = 0. Let j(z) = v*t(z) - 4*y(z). Solve j(o) = 0.
3/11
Let k(d) = -3*d**4 - d**3 - 1. Let n(v) = 2*v**5 + 150*v**4 + 1748*v**3 + 9724*v**2 - 1734*v - 9810. Let f(w) = 16*k(w) + n(w). Factor f(c).
2*(c - 1)*(c + 1)*(c + 17)**3
Suppose -2*i - r + 6*r = 6, -3*i + 4*r - 2 = 0. Suppose 2*x - 3*p = -i, -4*x + 0*x + p = -6. Factor -27 - 6*z - 1/3*z**x.
-(z + 9)**2/3
Determine l, given that 1240*l - 580 - 471 - 185 - 4*l**2 = 0.
1, 309
Suppose 0 = 9*z - 7*z - 18. Suppose -z*b + 14*b - 20 = 0. Factor -20*v + b*v**4 + 14*v**2 + 4*v**3 - 30*v**2 - 8 + 4*v**2.
4*(v - 2)*(v + 1)**3
Let -36000 - 2/5*s**2 + 240*s = 0. What is s?
300
Let h be 107/28 + 972/(-378). Determine p so that h + 3/2*p + 1/4*p**2 = 0.
-5, -1
Let n(f) be the second derivative of -3*f**5/80 + 7*f**4/8 + 55*f**3/8 - 51*f**2/2 - 1944*f. Factor n(j).
-3*(j - 17)*(j - 1)*(j + 4)/4
Let t = -275 - -275. Let x(h) be the third derivative of 13*h**2 + 1/300*h**6 + 33/20*h**4 - 121/15*h**3 + 7/50*h**5 + 0*h + t. Find o, given that x(o) = 0.
-11, 1
Suppose 5*j + 33 - 349 = -4*w, j - w - 56 = 0. Let -300 - 5*q**3 + j + 6001*q**2 - 5976*q**2 + 40*q = 0. Calculate q.
-3, 4
Suppose -30*u - 6 = -28*u, 4*z + 3*u + 9 = 0. Let d(n) be the third derivative of z*n**3 - 2*n**2 + 0*n + 1/36*n**4 + 0 - 1/450*n**5. Factor d(a).
-2*a*(a - 5)/15
Determine r, given that -2*r**5 + 58*r**2 + 56*r - 248*r**3 + 90*r**3 - 58*r**4 - 26*r**3 + 130*r**3 = 0.
-28, -1, 0, 1
Let p(i) be the second derivative of -3*i**5/20 - 2277*i**4/4 - 648660*i**3 - 1942566*i**2 - 3*i + 106. Find v, given that p(v) = 0.
-1138, -1
Suppose -1027*j - 3261 = -3261. Factor 9/8*s - 5/8*s**3 - 3/8*s**2 - 1/8*s**4 + j.
-s*(s - 1)*(s + 3)**2/8
Let y(n) = 3*n**3 + 2*n**2. Let a(w) = 11*w**3 + 192*w**2 - 8645*w + 16562. Let x(o) = -5*a(o) + 20*y(o). Factor x(m).
5*(m - 91)**2*(m - 2)
Let q(w) be the first derivative of w**4/6 - 8*w**3/9 - 28*w**2/3 - 64*w/3 + 525. Determine p so that q(p) = 0.
-2, 8
Factor 0 + 22/3*r + 2/3*r**3 + 8*r**2.
2*r*(r + 1)*(r + 11)/3
Let z be ((-204)/(-10))/17*(-1 - -6). Let h be 3/(-468)*z*-4. Factor 0*p**4 + 2/13*p + h*p**5 + 0 + 0*p**2 - 4/13*p**3.
2*p*(p - 1)**2*(p + 1)**2/13
Determine y so that -12*y**2 + 30/13 + 2*y + 108/13*y**3 - 2/13*y**4 - 6/13*y**5 = 0.
-5, -1/3, 1, 3
Let r(t) be the first derivative of -5*t**8/2184 - t**7/195 - t**6/390 - 28*t**2 - 117. Let q(x) be the second derivative of r(x). Factor q(l).
-2*l**3*(l + 1)*(5*l + 2)/13
Let u be ((-66)/84)/11 + (-205)/(-420). Let j(o) be the first derivative of u*o**3 + 0*o - 1/10*o**5 + 3 - 1/16*o**4 - 1/4*o**2. Factor j(d).
-d*(d - 1)*(d + 2)*(2*d - 1)/4
Determine q so that 27/7*q**4 + 117/7*q**3 - 75/7*q**2 - 3/7*q**5 - 54*q - 216/7 = 0.
-3, -1, 2, 12
Let d be 1/7 + (-104)/(-56). Factor -7*w**5 + 0*w**3 + 5*w**3 + 4*w**5 - d*w**3.
-3*w**3*(w - 1)*(w + 1)
Let h be 360/5*(-143)/(-2574). Factor 0 + 2/3*w**3 - 6*w + 9*w**2 - w**h.
-w*(w - 3)*(w + 3)*(3*w - 2)/3
Let h be ((16/5)/(-4))/(658/(-35) + 16). Suppose 8 = 4*o - 0. Factor -h*d + 1/7*d**o + 1/7*d**3 + 0.
d*(d - 1)*(d + 2)/7
Let d be -8 + 2 + 1 + (-56)/(-1). Factor 355*w**4 + 28*w**3 + 145*w**2 + d*w**2 - 354*w**4.
w**2*(w + 14)**2
Let t(r) = -r**2 + 206*r - 1582. Let g be t(198). Factor 0 + 2/13*c**3 - 2*c**g + 0*c.
2*c**2*(c - 13)/13
Let x(b) = -3*b**3 - b**2 + 1. Let l(j) = 20*j**3 - 17*j**2 - 192*j - 519. Suppose 300*r = 294*r - 168. Let z(t) = r*x(t) - 4*l(t). Factor z(u).
4*(u + 8)**3
Let x(l) = 18*l + 2565. Let m be x(-142). Let v(a) be the third derivative of 1/84*a**4 + 0 + 1/210*a**5 - m*a**2 + 0*a**3 + 0*a. What is z in v(z) = 0?
-1, 0
Let h(p) be the third derivative of p**5/360 - 31*p**4/8 + 8649*p**3/4 - 2*p**2 + 670*p. Factor h(x).
(x - 279)**2/6
Let m be ((-48)/(-252))/(9/(-42)) - -2. Let r(s) be the second derivative of -1/9*s**4 + 0 - 8/3*s**2 - 15*s - m*s**3. Determine f so that r(f) = 0.
-4, -1
Let t(n) be the third derivative of n**5/20 + 9*n**4/8 - 11*n**3 + 6*n**2 + 4*n. Factor t(q).
3*(q - 2)*(q + 11)
Let p(x) = -19*x**3 - x**2 + 22*x + 31. Let o(n) = -21*n**3 - 2*n**2 + 21*n + 32. Let r(c) = -9*o(c) + 10*p(c). Determine w, given that r(w) = 0.
-2, -1, 11
Let l be ((12/(-3))/28)/((-13)/1820*15). Find q such that 2/3*q**5 - 4/3*q**3 - l*q**2 + 2/3*q + 2/3 + 2/3*q**4 = 0.
-1, 1
Suppose -5*z = -20, -17*z = -h - 19*z + 11. Determine x, given that 20 + 40*x + 37*x**2 + 3*x**h + 10*x + 22*x = 0.
-10, -2, -1/3
Suppose 10*r = 324 + 126. Factor 6*l**2 + 34 + r*l**4 + 30*l**3 - 34 + 20*l**5 - l**2.
5*l**2*(l + 1)**2*(4*l + 1)
Suppose 9*b + 62 + 181 = 0. Let u = 30 + b. Factor h**2 - 4*h**2 - 5*h**3 + 4*h**u + 3*h**4 - h**5 + 2*h.
-h*(h - 2)*(h - 1)**2*(h + 1)
Factor 138486*k**4 + 1 - 138489*k**4 + 2*k**3 - 1 - 2*k**2 + 3*k**2.
-k**2*(k - 1)*(3*k + 1)
Let j(d) be the first derivative of 13*d**2 + 1076*d + 126. Let f be j(-41). Determine p, given that f*p**3 + 5/2*p**4 + 160 - 80*p - 30*p**2 = 0.
-4, 2
Let s be 7910/(-29380)*(-2)/3*(-36)/(-42). Factor -10/13*d**2 - s*d**4 + 8/13*d**3 + 4/13*d + 0.
-2*d*(d - 2)*(d - 1)**2/13
Let n(t) be the first derivative of 2*t**5/75 + 4*t**4/15 + 22*t**3/45 - 8*t**2/15 - 8*t/5 - 2117. Solve n(k) = 0 for k.
-6, -2, -1, 1
Let s(q) = 5*q - q - 10*q + 11*q**3 + 5*q**4. Let k be (-2)/(-2)*(-27 + 10). Let i(w) = 15*w**4 + 32*w**3 - 17*w. Let x(m) = k*s(m) + 6*i(m). Factor x(b).
5*b**3*(b + 1)
Let q(a) be the first derivative of -2*a**6/75 + 17*a**5/75 - 8*a**4/15 + 2*a**3/5 - 37*a**2/2 - 9. Let n(z) be the second derivative of q(z). Factor n(u).
-4*(u - 3)*(u - 1)*(4*u - 1)/5
Determine b, given that -1857/2*b**3 - 69/4*b**4 + 69363/2*b**2 - 1274049/4*b + 1139103/4 + 3/4*b**5 = 0.
-41, 1, 21
Suppose 0 = -5*f - 236 + 456. Factor 16 - 15*b + 22 - f + 16 + 5*b**2.
5*(b - 2)*(b - 1)
Suppose -15*