3 - 5*s**2 + 8*s. Factor z(y).
2*(y - 4)*(y - 1)
Let w(g) be the first derivative of -3*g**5/25 - 9*g**4/10 - 8*g**3/5 + 9*g**2/5 + 27*g/5 - 120. Let w(d) = 0. Calculate d.
-3, -1, 1
Let o = -38 - -111. Let r = -71 + o. Factor 3/7*n**r + 3/7*n + 0.
3*n*(n + 1)/7
Suppose 0 = 24*y - 26*y + f + 19, 5*y - 25 = -5*f. Factor 17/2*o**2 + 2 + 5/2*o**3 + y*o.
(o + 1)*(o + 2)*(5*o + 2)/2
Let c = -22 - -24. Suppose 6*b**4 - 15*b**3 - 11*b**4 - 2 + c = 0. What is b?
-3, 0
Let y(x) be the third derivative of x**7/1995 - x**6/1140 - 2*x**5/285 + x**4/57 - 140*x**2. Factor y(o).
2*o*(o - 2)*(o - 1)*(o + 2)/19
Factor -25*c**3 - 146*c**2 + 142*c**2 + 26*c**3.
c**2*(c - 4)
Let y(l) be the first derivative of 14 + 2/5*l - 2/15*l**3 + 1/15*l**4 - 2/15*l**2. Solve y(f) = 0 for f.
-1, 1, 3/2
Let a(x) be the third derivative of x**8/70560 - x**7/8820 + x**6/2520 - 7*x**5/30 - 11*x**2. Let w(p) be the third derivative of a(p). Factor w(n).
2*(n - 1)**2/7
Suppose 0 = 47*f - 32*f - 30. Let c(j) be the second derivative of 6/13*j**3 - 5/78*j**4 + 8/13*j**f - 9*j + 0. Factor c(d).
-2*(d - 4)*(5*d + 2)/13
Let i(x) = 2*x**3 + 10*x**2 - 24*x - 70. Let d be i(-6). Find v such that 0*v**d + 3/7*v**5 + 0*v + 0 - 6/7*v**4 + 3/7*v**3 = 0.
0, 1
Solve 0*i + 0*i**2 - 1/6*i**4 - 1/6*i**5 + 0 + i**3 = 0.
-3, 0, 2
Let n be 28/(-63) + 88/36. Factor 0 + 1/7*b - 1/7*b**n.
-b*(b - 1)/7
Let h(u) be the first derivative of -u**3/12 - 9*u**2/8 - 2*u + 245. Factor h(b).
-(b + 1)*(b + 8)/4
Let h(u) = -4*u - 9. Let n be h(-3). Determine y, given that 8 + y**3 - y**2 - 7 + 2*y - n*y = 0.
-1, 1
Let l be 6/10 + (-2)/(-5). Let d = 3 - l. Find o, given that -o**4 + 0 - o**d - 1 + 3*o**2 = 0.
-1, 1
Let f(q) = q**2 + 1. Let g(u) = 3*u**2 + 3*u + 7. Let j(i) = -4*f(i) + g(i). Let o be j(3). Factor 2/3*s**2 + 0 + 1/3*s + 1/3*s**o.
s*(s + 1)**2/3
Suppose -9*j + 27 = c, 17*c = -3*j + 15*c + 9. Let d be (-22)/(-70) + (-2)/(-7). Factor 0 - 2/5*a**2 - 1/5*a**4 + 0*a - d*a**j.
-a**2*(a + 1)*(a + 2)/5
Let f(n) = -9*n**3 + 7*n**2 + 2*n + 4. Let z(j) be the second derivative of -j**4/12 + j**3/6 + j**2/2 + 8*j. Let r(x) = f(x) - 4*z(x). Solve r(q) = 0.
0, 2/9, 1
Let g(z) be the third derivative of z**8/100800 - z**7/12600 + z**5/15 - 40*z**2. Let i(u) be the third derivative of g(u). Find k such that i(k) = 0.
0, 2
Let 190/3*r**3 + 766/3*r**2 + 289/3 + 1/3*r**5 + 833/3*r - 31/3*r**4 = 0. What is r?
-1, 17
Let t be (8/(-12))/(56/(-42)). Let s(v) be the first derivative of -4 + 13/6*v**3 + 0*v + t*v**2. Let s(r) = 0. What is r?
-2/13, 0
Find s such that 196*s**4 - 4174*s**2 - 4424*s**3 - 768 - 2178*s**2 - 576*s**2 + 5024*s = 0.
-2, 2/7, 24
Let m(k) be the second derivative of -1/12*k**4 - 1/4*k**5 + 0*k**2 - 1/10*k**6 + 0 + 12*k + 1/6*k**3. Factor m(a).
-a*(a + 1)**2*(3*a - 1)
Let f be 31 + (-5)/((-10)/(-2)). Let s be (-2)/(f/71) + (-14 - -19). Factor -2/15*i**2 - 2/15*i + s.
-2*(i - 1)*(i + 2)/15
Factor -290*l + 284*l + 4*l**2 + 164836 - 968*l - 650*l.
4*(l - 203)**2
Let s be 58/(-12) - (-4)/(-24). Let o(z) = -4*z**5 + 20*z**3 - 8*z + 8. Let t(l) = -3*l**5 + 13*l**3 - 5*l + 5. Let h(m) = s*o(m) + 8*t(m). Factor h(y).
-4*y**3*(y - 1)*(y + 1)
Let z be (-14 - -11) + 12 - 3. Let t(m) be the third derivative of 1/40*m**z + 1/10*m**5 - 4*m**3 - 1/2*m**4 + 4*m**2 + 0*m + 0. Find o, given that t(o) = 0.
-2, 2
Let y(w) be the third derivative of w**5/30 - 13*w**4/2 + 77*w**3/3 + 139*w**2. Let y(c) = 0. What is c?
1, 77
Let h(z) be the first derivative of -30 + 0*z - 10/3*z**3 + 0*z**2 - 3*z**4 - 2/5*z**5. Factor h(w).
-2*w**2*(w + 1)*(w + 5)
Solve -2/13*l**2 - 20/13*l + 48/13 = 0 for l.
-12, 2
Suppose 18 + 6 = -2*z. Let j be (z/4 - -1) + 7. Factor -x**j - 8*x**3 + 3*x**4 + 0*x**5 + 2*x**2 - 5*x**4 + 9*x**3.
-x**2*(x - 1)*(x + 1)*(x + 2)
Let b be 869/77 - 11 - (-64)/21. Factor -b*p - 2 + 2/3*p**3 - 2/3*p**2.
2*(p - 3)*(p + 1)**2/3
Factor -27/2 - 123/8*m - 3/2*m**2 + 3/8*m**3.
3*(m - 9)*(m + 1)*(m + 4)/8
Let l(k) be the third derivative of k**6/600 + 7*k**5/150 - 7*k**4/24 - 8*k**3/5 + 246*k**2. Let l(f) = 0. Calculate f.
-16, -1, 3
Let g(p) be the first derivative of p**8/672 - p**7/84 + p**6/30 - p**5/30 + 8*p**2 - 3. Let x(z) be the second derivative of g(z). Find m such that x(m) = 0.
0, 1, 2
Factor 0*o**2 + 0 + 0*o + 2/15*o**3.
2*o**3/15
Let c be (-22*(-4)/352)/((-7)/156) + 7. Solve -2/7*j**3 - 2*j**2 - 22/7*j - c = 0.
-5, -1
Let v(o) be the second derivative of -o**4/14 - 14*o**3/3 + 33*o**2/7 + 4*o - 4. Factor v(j).
-2*(j + 33)*(3*j - 1)/7
Let p be (-6 - (-632)/108)*(-3)/6. Let q(s) be the first derivative of 5 + p*s**3 + 2/9*s - 2/9*s**2. Suppose q(l) = 0. What is l?
1
Let i be (12/(-8))/(35/(-70)). Factor 18/7 - i*n**2 + 3/7*n**4 + 15/7*n**3 - 15/7*n.
3*(n - 1)**2*(n + 1)*(n + 6)/7
Let b = -8 + 6. Let z be 12/(-9) + b/(-1). Factor -z*v**2 - 2/3 + 4/3*v.
-2*(v - 1)**2/3
Let p(l) be the third derivative of l**8/224 + l**7/140 - 7*l**6/80 - 13*l**5/40 - 3*l**4/8 - 25*l**2 + 4. Suppose p(t) = 0. Calculate t.
-2, -1, 0, 3
Let w(y) = 9*y - 8*y + 2*y**2 + 5*y. Let f be w(-3). Factor f - 2/13*r + 4/13*r**2.
2*r*(2*r - 1)/13
Let f(t) be the second derivative of t**5/5 + 17*t**4/3 + 80*t**3/3 - 600*t**2 + 261*t. Solve f(z) = 0 for z.
-10, 3
Let q(b) be the third derivative of 0*b + 1/6*b**5 - 2/105*b**7 + 0 + 1/6*b**4 + 0*b**3 + 1/60*b**6 - 23*b**2. Factor q(h).
-2*h*(h - 2)*(h + 1)*(2*h + 1)
Let r(v) be the second derivative of v**7/7 + 2*v**6/15 - 47*v**5/30 + 22*v**4/9 - 4*v**3/3 + 342*v. Let r(x) = 0. Calculate x.
-3, 0, 2/3, 1
Let a be 21/(-84) - 22/40 - (-322)/315. Find s, given that a*s**2 + 10/9*s**4 + 4/9*s**5 + 8/9*s**3 + 0*s + 0 = 0.
-1, -1/2, 0
Let q(s) be the third derivative of 13/80*s**5 + 3/8*s**4 + 3/80*s**6 + 0*s + 1/2*s**3 - 3*s**2 + 0 + 1/280*s**7. Determine t so that q(t) = 0.
-2, -1
Let p(u) = 24*u + 988. Let g be p(-41). Find v such that -80/7*v**2 + 0 + 36/7*v**g + 32/7*v + 24/7*v**3 = 0.
-2, 0, 2/3
Let p(q) be the third derivative of -q**5/80 + 13*q**4/32 - 3*q**3/2 + 23*q**2 - 3. Factor p(u).
-3*(u - 12)*(u - 1)/4
Factor -332*i - 323*i - 65*i**2 - i**3 + 171*i + 21*i**2.
-i*(i + 22)**2
Let t(n) be the second derivative of -n**5/24 - 6*n**2 + 6*n. Let f(s) be the first derivative of t(s). Factor f(k).
-5*k**2/2
Factor 2*t**2 - 49*t**2 + 19*t**2 - 50*t**2 - 12*t**2 - 3*t**3.
-3*t**2*(t + 30)
Solve 11*f**3 - 5*f**3 + 7*f**3 - 24 - 5*f + f**3 + 2*f**4 + 22*f**2 - 9*f = 0.
-4, -3, -1, 1
Suppose 0 = -12*j - 229 + 1741. Let p = 129 - j. Solve 0 + 1/4*l**p + 0*l - 3/4*l**4 + 0*l**2 = 0 for l.
0, 1/3
Factor 200*a**3 - 256*a**2 - a**4 - 3*a**4 - 264*a**3.
-4*a**2*(a + 8)**2
Let -9*n**5 - 71*n**4 + 161 - 12*n + 9*n**3 - 68*n**2 + 175*n**4 - 161 - 24*n**5 = 0. Calculate n.
-2/3, -2/11, 0, 1, 3
Let f(j) be the third derivative of j**5/15 - 17*j**4/6 + 20*j**3 - 28*j**2. Factor f(h).
4*(h - 15)*(h - 2)
Let m = -260 - -267. Let v(j) be the third derivative of 1/15*j**6 - 1/10*j**5 + 0*j**3 + 0 + 0*j - m*j**2 - 1/12*j**4. Factor v(s).
2*s*(s - 1)*(4*s + 1)
Let n(u) = 2*u**2 + 52*u + 471. Let s(i) = i**2 + i + 3. Let m(q) = n(q) - 7*s(q). Suppose m(b) = 0. Calculate b.
-6, 15
Let h(v) be the third derivative of v**7/42 + 11*v**6/40 + 11*v**5/15 - 5*v**4/2 - 56*v**3/3 + 51*v**2 + 2. Factor h(l).
(l + 2)**2*(l + 4)*(5*l - 7)
Let a be (5 - 3) + (-79)/8 + 231 + -223. Factor -5/4*o + a*o**2 + 9/8.
(o - 9)*(o - 1)/8
Suppose 3*o - 2*y - 5 = 9, -2*o = 3*y + 8. Let u be (-15)/6*(-6)/5. Factor -4*c**3 - o - u*c + 5*c**3 - 2 + 2.
(c - 2)*(c + 1)**2
Let 1/4*k**4 + 59/4*k**2 + 0 - 11/2*k**3 - 19/2*k = 0. Calculate k.
0, 1, 2, 19
Suppose 24*o + 16 = 22*o + 4*r, -5 = -r. Determine b so that 6/11 - 2/11*b**o - 4/11*b = 0.
-3, 1
Let c(v) = v**3 - 2*v**2 + 1. Let u(w) = 8*w**3 - 11*w**2 + 3. Let n(j) = -35*c(j) + 5*u(j). Factor n(k).
5*(k - 1)*(k + 2)**2
Let v be ((-91)/546)/((-1)/3). Find c, given that 0 - v*c**2 - 1/2*c**3 + 1/2*c + 1/2*c**4 = 0.
-1, 0, 1
Let v(q) = -q**3 - 5*q**2 - 7*q - 12. Let y be v(-5). Let c = y - 20. Factor -4*l**2 + 6*l + 1 - 6*l**2 + c.
-2*(l - 1)*(5*l + 2)
Let x(u) be the first derivative of u**5/330 - u**4/33 + u**3/11 + 3*u**2 + 26. Let s(k) be the second derivative of x(k). Factor s(j).
2*(j - 3)*(j - 1)/11
Suppose 0 = 4*j - 4, s = 2*s + 2*j. Let q = 7 + s. Find c, given that q*c - 3*c**2 + 6 + c 