 84 + -78. Let h(a) = b*u(a) + 11*s(a). Factor h(p).
p**2*(p - 1)*(p + 2)
Let k(z) be the third derivative of 0*z**3 - 73*z**2 + 0 - 1/24*z**6 + 0*z + 1/2*z**5 + 0*z**4. Let k(w) = 0. Calculate w.
0, 6
Determine z so that 120*z**2 + 50*z**2 + 6*z**3 - 9*z**3 + 4*z**3 - 250*z**2 = 0.
0, 80
Let q = -18992 + 18995. Let a(i) be the third derivative of 0*i - i**2 + 25/3*i**q + 0 - 1/42*i**7 + 5/4*i**5 + 1/24*i**6 + 115/24*i**4. Factor a(d).
-5*(d - 5)*(d + 1)**2*(d + 2)
Let a(w) be the second derivative of 19/2*w**3 + 4*w + 16/5*w**5 - 9/2*w**2 - 28/3*w**4 + 20. Find h such that a(h) = 0.
3/8, 1
Let v be 5*(5/(-75))/((-1)/36). Let w(q) = q**3 - 13*q**2 + 16*q - 46. Let j be w(v). Solve 0 + 3/2*x**j - 1/2*x + 1/2*x**4 - 3/2*x**3 = 0.
0, 1
Let w(b) be the second derivative of -b**5/4 - 2905*b**4/6 - 1687805*b**3/6 - 512*b + 1. What is c in w(c) = 0?
-581, 0
Let n(s) = 10*s**2 - 4*s - 1. Let u(b) = 108*b**2 - 12*b - 10. Let h(w) = 10*n(w) - u(w). Factor h(i).
-4*i*(2*i + 7)
Let v(r) be the second derivative of -r**6/30 - 83*r**5/20 - 783*r**4/4 - 8019*r**3/2 - 19683*r**2 - 3*r + 64. Factor v(i).
-(i + 2)*(i + 27)**3
Determine v, given that -v**5 + 14192*v**2 + 28*v**3 - 7080*v**2 - 7096*v**2 - v**4 - 192*v = 0.
-4, 0, 3, 4
Suppose -g - 28 = 2*r, 3*g = 9*r - 6*r + 24. Let m be (r/27)/(32/(-120)). What is u in 0 + 5/3*u**4 + m*u**2 + 0*u - 10/3*u**3 = 0?
0, 1
Let q = -4820 - -4824. Let o(s) be the third derivative of 14*s**2 + 0 + 1/30*s**6 + 4/3*s**3 + 5/6*s**q + 0*s + 4/15*s**5. Factor o(y).
4*(y + 1)**2*(y + 2)
Let v(j) be the third derivative of 0 + 59*j**2 - 1/140*j**6 + 0*j**4 - 1/490*j**7 + 0*j**3 + 0*j + 3/140*j**5. Determine c, given that v(c) = 0.
-3, 0, 1
Find q, given that -265*q - q**3 + 9*q**2 + 108*q + 149*q = 0.
0, 1, 8
Factor -4/5*f**2 - 2696164/5 + 6568/5*f.
-4*(f - 821)**2/5
Let k(f) be the first derivative of -4*f**5/5 - 14*f**4 - 244*f**3/3 - 168*f**2 + 3120. Suppose k(s) = 0. Calculate s.
-7, -4, -3, 0
Suppose -2*z + 334 = 5*t, 115*t + 373 = 120*t - z. Factor -t*q + 48*q**4 + 0 - 192*q**2 - 9/2*q**5 - 92*q**3.
-q*(q - 6)**2*(3*q + 2)**2/2
Factor -2484*o**2 - 7527*o - 4137*o + 509 - 509 + 104*o**3 - o**4.
-o*(o - 54)**2*(o + 4)
Let p = 252724/5 - 50540. Let -4 + p*r - 4/5*r**2 = 0. Calculate r.
1, 5
Suppose 28*l = 281 + 5767. Let w be (18/l)/((-2)/(-6)). Let 1/4*i**3 + w*i**2 + 0 - 1/4*i**4 - 1/4*i = 0. What is i?
-1, 0, 1
Let i(n) be the first derivative of 0*n + 0*n**2 + 29 + 1/216*n**6 - 11/3*n**3 - 1/12*n**5 + 25/72*n**4. Let w(f) be the third derivative of i(f). Factor w(l).
5*(l - 5)*(l - 1)/3
Let f(m) be the second derivative of -m**4/3 - 868*m**3/3 + 1744*m**2 + 3234*m. Factor f(j).
-4*(j - 2)*(j + 436)
Suppose 0 = -132*v + 2580 - 2580. Factor v*w + 0 - 11/7*w**2 - 1/7*w**3.
-w**2*(w + 11)/7
Let d(l) be the second derivative of 1/4*l**5 + 0 - 211*l + 490*l**2 + 145/12*l**4 + 560/3*l**3. Factor d(n).
5*(n + 1)*(n + 14)**2
Let z(x) = -118*x**2 - 20*x - 150. Let m(y) = 138*y**2 + 21*y + 149. Let w(l) = 6*m(l) + 7*z(l). Factor w(i).
2*(i - 13)*(i + 6)
Suppose 4*x + l = 36 - 31, -4*x + 65 = -3*l. Suppose 4/11*j**2 + 2/11*j**4 + 0 + 10/11*j**3 + 0*j - 4/11*j**x = 0. Calculate j.
-1, -1/2, 0, 2
Suppose 35 = 5*l - 4*p, 8*p - 10*p = 2*l + 4. What is h in 12*h**3 + l*h**4 + 90108 - 12*h**2 - 3*h**5 - 90108 = 0?
-2, 0, 1, 2
Let q(t) be the first derivative of t**3/12 + 65*t**2/8 - 51*t + 516. Factor q(w).
(w - 3)*(w + 68)/4
Let z(p) be the first derivative of p**4/4 - 10*p**3 - 207*p**2/2 - 324*p - 2314. Find w such that z(w) = 0.
-3, 36
Suppose 23 - 22 = -k + g, -2*g + 9 = 5*k. Let c(o) = -o**2 + 2. Let m(q) = 4*q**2 + 48*q + 38. Let y(l) = k*m(l) + 6*c(l). Find i such that y(i) = 0.
-1, 25
Suppose 5*u - 2*s - 172 = 263, -2*u + 163 = -3*s. Let g = 92 - u. Determine y so that -1/5*y**4 + 0*y**2 - 1/5*y**g + 0 + 0*y = 0.
-1, 0
Let a(l) be the third derivative of 30*l**3 + 1/24*l**6 + 25/3*l**4 + 0*l - 80*l**2 + 0 + 13/12*l**5. Factor a(t).
5*(t + 2)**2*(t + 9)
Suppose -3 + 7 = 2*v, -4*h + 5*v = 10. Suppose h = x - 39*x + 4*x. Suppose x + 0*n + 2/3*n**2 = 0. What is n?
0
Let k(v) = -3*v**2 + 3*v. Let l(b) = 0 + 0 + 1920*b - 1918*b. Let i(q) = -k(q) + 3*l(q). Factor i(r).
3*r*(r + 1)
Determine p, given that 90*p**2 + 59*p**3 + 50*p - 55*p**5 - 10*p - 4*p**3 + 50*p**5 = 0.
-2, -1, 0, 4
Suppose -5*z + 3*r = -2973, -z - 3*r + 6*r + 597 = 0. What is u in -574*u**2 + z*u**2 + 0*u**3 + 12*u - 36 + 4*u**3 = 0?
-3, 1
Let 3328/11 + 1/11*i**3 - 3324/11*i + 828/11*i**2 = 0. Calculate i.
-832, 2
Let v(x) be the third derivative of 17161*x**5/15 - 262*x**4/3 + 8*x**3/3 + 1711*x**2 + 1. Determine q so that v(q) = 0.
2/131
What is a in 13/2*a + 19/6 + 1/6*a**3 + 7/2*a**2 = 0?
-19, -1
Let q(z) = -z**3 + 3*z - 3. Let s be q(-3). Suppose g - 4*g = y + 7, -5*g - s = y. Solve -3*c + c - c**2 - 7*c - y + 3*c = 0.
-5, -1
Let y be 0 + (-33537)/(-36) + (-28)/84. Let n = y + -931. Factor -n*i**2 + 1/4 + 0*i.
-(i - 1)*(i + 1)/4
Let d = 60 + -47. Factor 11*g**2 - d*g**2 + 6*g**2 - 39*g + 27*g.
4*g*(g - 3)
Let f(m) be the first derivative of m**3 - 513*m**2/2 + 510*m - 1410. Solve f(z) = 0 for z.
1, 170
Let h(s) be the third derivative of 3*s**7/14 + 29*s**6/8 - 755*s**5/12 - 885*s**4/8 - 75*s**3 - 151*s**2. Determine n so that h(n) = 0.
-15, -1/3, 6
Let -y**2 + 45*y + 6*y**2 + 14327 - 14507 = 0. Calculate y.
-12, 3
Let w(i) be the first derivative of -2*i**3/57 + 21*i**2/19 - 160*i/19 + 1020. Let w(d) = 0. Calculate d.
5, 16
Let j = 25462 + -2291579/90. Let p(s) be the second derivative of -1/126*s**7 - j*s**6 - 9*s - 5/18*s**3 + 1/2*s**2 - 1/18*s**4 + 4 + 1/10*s**5. Factor p(a).
-(a - 1)**3*(a + 1)*(a + 3)/3
Let n be (26/(-78))/((-4)/60). Suppose n*k - 18 = -4*i, -6 = -i - 4. Factor -27/5*u**k + 6/5 - 21/5*u.
-3*(u + 1)*(9*u - 2)/5
Let d be (-18)/(-27)*18/3. Factor -27*r**3 - 214*r**5 - 5*r - 9*r**d + 213*r**5 - 27*r**2 + 5*r.
-r**2*(r + 3)**3
Suppose -31*o = 110*o + 15*o. Solve -2/7*a**3 + 4/7*a**2 + 16/7*a + o = 0.
-2, 0, 4
Let h = -993/14 - -1993/28. Let j(i) be the third derivative of 0*i**4 + 0 - h*i**3 + 33*i**2 + 1/40*i**5 + 0*i. Factor j(v).
3*(v - 1)*(v + 1)/2
Let q(b) be the third derivative of -2/255*b**5 - 67/204*b**4 + 200*b**2 + 0*b + 0 + 1/3*b**3. Suppose q(h) = 0. What is h?
-17, 1/4
Let d(f) be the first derivative of -f**6/70 + f**5/105 + 46*f**4/21 + 40*f**3/7 - f**2 + 2*f + 224. Let x(m) be the second derivative of d(m). Factor x(y).
-4*(y - 6)*(y + 5)*(3*y + 2)/7
Let g be (-6 - (-67716)/(-240)) + 1. Let t = g + 1437/5. Factor -t*u + 1/2 - 1/4*u**2.
-(u - 1)*(u + 2)/4
Let u(m) be the second derivative of 1/12*m**3 - 1/40*m**5 - 1/2*m**2 - 61*m + 0 + 1/12*m**4. Solve u(k) = 0 for k.
-1, 1, 2
Suppose 5*p - 15 = -5*r, -2*p + 5*r + 4 + 23 = 0. Let d be p/(-44)*880/(-480). Factor 0 - d*m**3 + 3/4*m - 1/2*m**2.
-m*(m - 1)*(m + 3)/4
Let m be (1/(-8))/(115 + 71799/(-624)). Factor -8/15 - 2/15*s**3 - 6/5*s - 4/5*s**m.
-2*(s + 1)**2*(s + 4)/15
Suppose 3*j = -2*u - 0*u + 12, 4*u - 2*j = 8. Suppose -8 = -5*v + 2*f, -u*f = v - 4 - 1. What is w in -w**2 + 13*w**v - 9*w - 19*w**3 + 16*w**3 = 0?
0, 1, 3
Let j(g) be the first derivative of g**4/30 - 52*g**3/15 + 51*g**2/5 - 152*g/15 + 3663. Factor j(u).
2*(u - 76)*(u - 1)**2/15
Let q = -294 - -290. Let u(a) = -14*a**2 + 3*a + 14. Let p(y) = -13*y**2 + 6*y + 13. Let d(i) = q*p(i) + 3*u(i). Suppose d(l) = 0. What is l?
-1/2, 2
Suppose 5*m + 4 = -d + 22, -5*d = 5*m - 10. Solve u**4 - 5*u**3 - 3*u**m + 5*u**3 + 2*u**2 = 0.
-1, 0, 1
Let g(i) = 2*i - 4. Let s be g(3). Factor 4*v**3 - 5 + 7*v - 12*v - 79*v**2 + v**3 + 84*v**s.
5*(v - 1)*(v + 1)**2
Suppose -3/4*c + 0 - c**2 = 0. What is c?
-3/4, 0
Let m(g) be the second derivative of -g**4/18 + 518*g**3/3 - 1553*g**2/3 + 2*g - 929. What is b in m(b) = 0?
1, 1553
Suppose -1/3*p**3 - 13*p**2 + 120*p - 752/3 = 0. What is p?
-47, 4
Let o(y) = 260*y**3 - 115*y**2 - 885*y - 2240. Let c(p) = 313*p**3 - 115*p**2 - 886*p - 2240. Let s(k) = 5*c(k) - 6*o(k). Find t, given that s(t) = 0.
-8, -7
Let c be (2 + (-72)/20)*-10. Let t(k) be the second derivative of 0 + 1/70*k**5 - 1/84*k**4 + 0*k**2 + 0*k**3 - 1/210*k**6 + c*k. Factor t(p).
-p**2*(p - 1)**2/7
Factor 21 - 23 - 4*n**3 - 22 + 16*n**2 - 4*n.
-4*(n - 3)*(n - 2)*(n + 1)
Let a(r) be the first derivative of -2*r**5/35 - 14