q + 77*q**4 + q**3 - 245*q**4 + 87*q**4 + 80*q**4 + 8*q**2 = 0 for q.
-3, 0, 2
Find b, given that -1492/3*b**2 + 0 - 2/3*b**3 + 2992/3*b = 0.
-748, 0, 2
Let u(n) = -5*n**3 - 1380*n**2 + 1385*n. Let r(i) = 2*i**2 - 2*i. Let b(l) = -30*r(l) - u(l). Let b(v) = 0. What is v?
-265, 0, 1
Let a(h) = 8*h + 884. Let j be a(-110). Let c(q) be the first derivative of 22 - 1/2*q**3 + 0*q**2 - 3/20*q**5 + 9/16*q**j + 0*q. Factor c(i).
-3*i**2*(i - 2)*(i - 1)/4
Let z(w) be the second derivative of 2/63*w**4 + 33*w + 0 + 8/63*w**3 - 1/441*w**7 - 1/63*w**6 + 0*w**2 - 1/35*w**5. Factor z(l).
-2*l*(l - 1)*(l + 2)**3/21
Let h(p) be the second derivative of -13*p**4/12 + 40*p**3/3 - 6*p**2 + 528*p. Factor h(t).
-(t - 6)*(13*t - 2)
Let p(g) be the second derivative of -2*g**4 - 15*g**3 - 14 - 1/10*g**5 - g - 50*g**2. Factor p(y).
-2*(y + 2)*(y + 5)**2
Suppose -v - 7 = -5*i, 8*i + 3 = 3*v + 5*i. Factor 3*g**4 + 33*g**v - 5*g**4 - 47*g**3 - 10*g - 22*g**2.
-2*g*(g + 1)**2*(g + 5)
Factor 6960/7*a**3 + 76800*a + 90240/7*a**2 + 172032 + 3/7*a**5 + 240/7*a**4.
3*(a + 8)**3*(a + 28)**2/7
Let c(a) = -5*a**2 + 73*a - 204. Let d(u) = -29*u**2 + 439*u - 1226. Let h(f) = 17*c(f) - 3*d(f). Let h(v) = 0. Calculate v.
3, 35
Let g(q) be the third derivative of q**8/1680 - q**7/140 + q**6/72 - 37*q**3/3 + 46*q**2. Let h(m) be the first derivative of g(m). Factor h(a).
a**2*(a - 5)*(a - 1)
Factor -178*p**2 - 67*p - 150*p**2 + 447*p + 5*p**3 + 528*p**2.
5*p*(p + 2)*(p + 38)
Let o(x) be the third derivative of -x**5/360 - 361*x**4/72 - 130321*x**3/36 + 209*x**2. What is i in o(i) = 0?
-361
Let d(v) = -v**3 + 11*v**2 + 14*v - 27. Let o be d(12). Let z be -3 - o/(-3*2/(-12)). Solve -5*f + 3*f + 0*f - z*f**2 + 4*f**4 - 3*f**4 = 0.
-1, 0, 2
Let h(y) = 62*y**3 + 959*y + 919. Let g(w) = -22*w**3 - 320*w - 306. Let z(m) = -17*g(m) - 6*h(m). Factor z(o).
2*(o - 13)*(o + 1)*(o + 12)
Let l(t) = 56*t**2 + 506*t + 2636. Let j(h) = 5*h**2 + 46*h + 240. Let o(s) = -68*j(s) + 6*l(s). Factor o(y).
-4*(y + 9)*(y + 14)
Let -384/5*a - 198/5*a**2 - 3/5*a**3 + 0 = 0. Calculate a.
-64, -2, 0
Factor 4/5*a**3 - 352/5*a + 0 - 72/5*a**2.
4*a*(a - 22)*(a + 4)/5
Let c(i) = i + 19. Let b be c(-16). Let y be -4 + b + 2 - -2. Determine s, given that -9*s**4 - 20*s**y - 4*s**4 - 20*s - 3 - 2 - 30*s**2 + 8*s**4 = 0.
-1
Let l = -39660 - -317289/8. Suppose 45/8*w**3 - 3/2 - l*w**5 + 15/8*w**2 - 9/2*w - 3/8*w**4 = 0. Calculate w.
-2, -1, -1/3, 1, 2
Let u(b) be the third derivative of -b**7/30 - 17*b**6/30 - 17*b**5/5 - 20*b**4/3 + 32*b**3/3 + 16*b**2 + 47*b - 2. Factor u(v).
-(v + 2)*(v + 4)**2*(7*v - 2)
Let s be ((-18)/51)/(6/(-153)*3). Let c(a) be the second derivative of 1/4*a**4 + 29*a + 12*a**2 + 0 - 9/2*a**s. Factor c(m).
3*(m - 8)*(m - 1)
Let r(f) be the first derivative of 12*f**2 - 2/3*f**6 - 5*f**4 - 54 - 4*f**5 + 0*f + 20/3*f**3. Suppose r(u) = 0. What is u?
-3, -2, -1, 0, 1
Let f(r) be the third derivative of -7/60*r**6 + 2/3*r**3 + 1/4*r**4 - 26*r**2 + 3*r - 1/10*r**5 - 1/35*r**7 + 0. Find t, given that f(t) = 0.
-1, 2/3
Suppose 0 = -127*j + 129*j - 226. Suppose 0 = -v - 109 + j. Solve 1/3*u + 1/3*u**5 - 2/3*u**3 - 1/3 + 2/3*u**2 - 1/3*u**v = 0 for u.
-1, 1
Let y be -2 - (-4)/(-10)*(14 - 29). Factor -37 + 1 + 33*c**3 - 3344*c**4 + 3341*c**y + 39*c**2 - 33*c.
-3*(c - 12)*(c - 1)*(c + 1)**2
Factor 203*l + l**2 + 1047*l + 2253001 + 1752*l.
(l + 1501)**2
Let o(h) be the third derivative of -h**8/112 - 29*h**7/245 + 31*h**6/70 + 2*h**5/7 - 944*h**2. Determine f so that o(f) = 0.
-10, -2/7, 0, 2
Let o(s) = -27*s**3 - 117*s**2 + 350*s + 455. Let l(z) = 114*z**3 + 471*z**2 - 1401*z - 1821. Let t(x) = -5*l(x) - 21*o(x). Factor t(y).
-3*(y - 30)*(y - 5)*(y + 1)
Let l = 29484 + -206384/7. Suppose 0 + 0*f**4 - 8/7*f**2 - l*f**5 + 12/7*f**3 + 0*f = 0. What is f?
-2, 0, 1
Let s(f) be the first derivative of 0*f - 196 - 5/4*f**4 - 70/3*f**3 + 0*f**2. Factor s(n).
-5*n**2*(n + 14)
Determine b so that -12*b**4 - 4*b - 60*b**2 + 19*b**5 + 17*b**5 - 5*b - 78*b**3 - 21*b**5 = 0.
-1, -1/5, 0, 3
Let 80/3*p**3 + 64/3*p + 368/9*p**2 + 32/9 + 50/9*p**4 = 0. Calculate p.
-2, -2/5
Let o be 90/4 + (13 + 317)/(-22). Let o - 4*z + 1/2*z**2 = 0. Calculate z.
3, 5
Determine n so that 1060/7*n - 4/7*n**2 + 152 = 0.
-1, 266
Let p(w) be the first derivative of -w**4/2 + 262*w**3/3 + 1385*w**2 + 7050*w - 13706. Determine r so that p(r) = 0.
-5, 141
Suppose 65*i - 162*i + 102 = -46*i. Solve -9/7*y - 3/7*y**i + 12/7 = 0.
-4, 1
Suppose 97/6*z**3 + 5/3*z**2 - 5/3*z**4 - 16*z + 0 - 1/6*z**5 = 0. What is z?
-16, -1, 0, 1, 6
Let b(q) = 670*q + 6702. Let h be b(-10). Let a(j) be the first derivative of 5/2*j**h + 1 + 0*j - 5/3*j**3. Determine x, given that a(x) = 0.
0, 1
Factor 7/6*w**3 - 48841/3 + 114257/2*w - 516*w**2.
(w - 221)**2*(7*w - 2)/6
Solve -2*l**5 - 19534228*l**4 + 0*l**5 - 2326*l**2 + 2322*l**3 + 776*l + 19533458*l**4 = 0.
-388, 0, 1
Suppose 579*x - 8351 - 5125 = -3054. Let t(z) be the first derivative of -1/8*z**3 - x + 15/16*z**2 - 9/4*z. Factor t(w).
-3*(w - 3)*(w - 2)/8
Let m(w) be the second derivative of -27/160*w**5 + 0 - 11/4*w**3 - 19/16*w**4 - 3/2*w**2 + 7*w. Factor m(f).
-3*(f + 2)**2*(9*f + 2)/8
Let g be (-5)/30 - (-3)/((-54)/(-112341)). Find p, given that -4*p**3 + 6261*p**2 - p**3 - g*p**2 = 0.
0, 4
Let p(y) be the second derivative of y**5/330 - y**4/44 - 42*y**2 + 2*y + 13. Let u(t) be the first derivative of p(t). Factor u(n).
2*n*(n - 3)/11
Let l(c) be the first derivative of 28*c**5/25 - 453*c**4/5 + 13676*c**3/15 + 55770*c**2 + 158184*c/5 - 1946. Find v, given that l(v) = 0.
-13, -2/7, 39
Let t(y) = -55*y**3 + 23800*y**2 - 4022115*y - 8139670. Let x(f) = -8*f**3 + 3400*f**2 - 574588*f - 1162810. Let k(h) = 3*t(h) - 20*x(h). Factor k(w).
-5*(w - 341)**2*(w + 2)
Let n(h) = -18829*h + 14. Let z be n(-2). Determine d so that 96*d + 37669*d**5 - 120*d**2 - z*d**5 + 24*d**3 + 6*d**4 + 12*d**3 = 0.
-4, 0, 2
Let p(i) be the second derivative of i**4/60 - 164*i**3/15 + 327*i**2/10 + 2*i - 121. Suppose p(l) = 0. What is l?
1, 327
Suppose h - 36 = -3*o, 0 = 5*o + h + h - 60. Suppose -2*v**3 + 5*v**3 - v**3 + o + v**3 - 3*v**2 - 23*v + 11*v = 0. What is v?
-2, 1, 2
Let x(h) be the first derivative of 2*h**3/3 - 41*h**2 - 1972*h + 7834. Factor x(n).
2*(n - 58)*(n + 17)
Let m = -1 + 3. Let v = -358 + 366. Factor 4*p**3 + 3 + 4*p - m*p**4 + 2*p**2 - 3 - v*p.
-2*p*(p - 2)*(p - 1)*(p + 1)
Let c(k) be the first derivative of k**4/9 + 46*k**3/27 + 5*k**2/9 - 44*k/3 - 811. Solve c(j) = 0.
-11, -2, 3/2
Let j(g) be the third derivative of -g**5/450 - 17*g**4/15 - 67*g**3/5 + 80*g**2 - 3*g + 3. Find s such that j(s) = 0.
-201, -3
Let g = 2020 + -2032. Let d be (-17)/g*(-256)/(-48) + -6. Solve 2/9*n**3 + 22/9*n - 10/9 - d*n**2 = 0 for n.
1, 5
Let g = -19 - -42. Factor -g*y**2 + 68*y**2 - 19*y**2 - 25*y**2.
y**2
Let u(j) be the first derivative of 2 - 15/2*j**2 - 9*j + 3/4*j**4 - j**3. Factor u(d).
3*(d - 3)*(d + 1)**2
Let f(y) = 4*y**3 + 2*y**2 - 2*y - 9. Let v be f(3). Suppose -10053 = -v*u + 108*u. Factor -u*d**2 - 2*d**3 + 3376*d**2 + 7*d**3 - 5*d - 25*d**4.
-5*d*(d - 1)*(d + 1)*(5*d - 1)
Let r = -117153 + 117153. Suppose r*f - 2/3*f**2 + 8/9 - 2/9*f**3 = 0. What is f?
-2, 1
Let u(r) be the third derivative of -r**6/72 + 83*r**5/36 - 200*r**4/9 + 790*r**3/9 + 3752*r**2. Determine s so that u(s) = 0.
2, 79
Suppose 16*h = -3*y - 4, 7*h - 44 = 3*h + 3*y. Let r = -19/2 + 10. Factor 3/8*g**h - 1/8*g**4 + g - 1/4*g**3 + r.
-(g - 2)*(g + 1)**2*(g + 2)/8
Let y(g) be the third derivative of -3/10*g**3 - 1/100*g**6 - 143*g**2 + 1/10*g**4 + 0 + 1/20*g**5 + 0*g. Determine o so that y(o) = 0.
-1, 1/2, 3
Let z = -504 - -506. Determine n so that -10*n**3 - 10*n**4 + 10*n**z + 7*n**3 + 4*n - n**3 = 0.
-1, -2/5, 0, 1
Let n(w) be the third derivative of 79/96*w**4 + 11/12*w**3 - 8*w**2 + 4 + 7/240*w**5 + 0*w. Factor n(x).
(x + 11)*(7*x + 2)/4
Let q(a) = 5*a + 1. Let r = -76 - -83. Let h be q(r). Factor 45*i - 2*i**5 - i**5 - 57*i - 18*i**4 - h*i**2 - 39*i**3.
-3*i*(i + 1)**2*(i + 2)**2
Let q = -6 + 336. Let w be -2*2/(-14) + q/21. Factor -62*g + 18*g**2 + 18*g**3 + 22*g - w - 30*g**2.
2*(g - 2)*(3*g + 2)**2
Find l such that 116/11*l**2 - 2/11*l**3 + 0 + 240/11*l = 0.
-2, 0, 60
Let d(c) = -c**4 - 2*c**3 - c + 13. Let h(i) = 2*i**4 + 4*i**3 + i - 22. L