2 - 2*i**2. Let h(f) be the second derivative of c(f). Factor h(z).
-3*z**2*(z - 3)/2
Let x(i) be the second derivative of 11/2*i**2 + 1/60*i**5 + 0 - 1/8*i**4 + 1/3*i**3 - 8*i. Let u(s) be the first derivative of x(s). Factor u(h).
(h - 2)*(h - 1)
Let z = 335 - 10049/30. Let l(o) be the third derivative of 4*o**2 - z*o**5 + 2/3*o**3 + 1/12*o**4 + 0 + 0*o. Determine s so that l(s) = 0.
-1, 2
Suppose -69 = 2*m + m + 5*a, 3*m + 4*a + 66 = 0. Let i = 23 + m. Suppose -12*q - 8*q**2 + 8*q**i + 8*q**3 + 12*q**4 - 4*q**5 - 22 + 18 = 0. What is q?
-1, 1
Suppose -i + 47 = 2*o, 3*i = 2*o - 0*o - 51. Suppose -2*h + o + 70 = 0. Factor 2*p**2 + h - 5 - 20*p + 6 + 2.
2*(p - 5)**2
Factor 0 - 3/5*k**2 + 3/5*k**4 - 6/5*k + 6/5*k**3.
3*k*(k - 1)*(k + 1)*(k + 2)/5
Let b(p) = 4*p**3 - 8*p**2 - 8*p - 1. Let d(f) = -f**2 - 5*f - 14*f + 18*f + 2*f**3 - f**3. Let y(n) = b(n) - 5*d(n). Solve y(v) = 0 for v.
-1
Suppose 5*p - 6 + 37 = 3*f, f = -4*p + 16. Solve 2*d**3 + 22*d + 64 + f*d**2 + 44 - 96 = 0 for d.
-3, -2, -1
Suppose -5*f - 30 = -8*f + 3*m, 0 = -2*f + 4*m + 22. Factor -176*d**3 + 972*d**5 - 23*d**2 - 1008*d**5 - 152*d**4 - f*d**2.
-4*d**2*(d + 2)**2*(9*d + 2)
Let -23/2*y - 5/2*y**3 + 11*y**2 + 3 = 0. Calculate y.
2/5, 1, 3
Suppose 4*g = -c + 5*c - 12, 5*c - 3*g = 13. Let w be (4 - c)*((-13)/(-6) + -2). Find t such that w*t + 1/6 + 1/6*t**2 = 0.
-1
Let x = 45012 + -45008. Determine a, given that -4/5*a**2 + 0 + 0*a + 2/5*a**3 + 2/5*a**x = 0.
-2, 0, 1
Let j be 3 - (6 - 2)/4. Let 2*g**2 + 2*g**j - 7*g**2 + 4 - 1 + 18*g**3 - 18*g = 0. What is g?
-1, 1/6, 1
Solve -1/7*b**3 + 26/7*b - 24/7 - 1/7*b**2 = 0.
-6, 1, 4
Let n(z) be the first derivative of -2*z**3/15 - 5*z**2 + 83. Determine p so that n(p) = 0.
-25, 0
Suppose 3*q - 1034 = 4*j - 273, 4*j = 4*q - 1016. Let d = -1268/5 + q. Solve 0 - 9/5*l**4 - d*l**5 + 12/5*l**3 + 4/5*l**2 + 0*l = 0 for l.
-2, -2/7, 0, 1
Determine q so that -3*q + 1/5*q**2 + 0 = 0.
0, 15
Let c(h) be the first derivative of -h**6/27 + 14*h**5/45 - 2*h**4/9 - 8*h**3/9 - 83. Let c(u) = 0. Calculate u.
-1, 0, 2, 6
Let w(h) be the first derivative of -3*h**5/10 - 6*h**4 - 45*h**3/2 + 243*h**2/2 - 397. Suppose w(s) = 0. Calculate s.
-9, 0, 2
Let p be (2/4)/((-8)/(-80)). Let w(q) be the first derivative of 0*q - 3/4*q**4 - 6/5*q**p + 6 - 1/2*q**6 + 0*q**3 + 0*q**2. Factor w(i).
-3*i**3*(i + 1)**2
Let w(y) = 2*y**2 - 3. Let g(n) = -5*n**2 + n + 8. Let q be (-7 - -11)*(-2 + 0)/(-1). Let t(d) = q*w(d) + 3*g(d). Suppose t(i) = 0. Calculate i.
-3, 0
Factor 9*l**3 - 5*l**2 + 2*l - 12*l + 5*l**4 + 12*l**3 + 9*l**3 - 20*l.
5*l*(l - 1)*(l + 1)*(l + 6)
Suppose -138/5*l + 3/5*l**2 + 27 = 0. Calculate l.
1, 45
Factor 3882*b**2 + 4*b**4 - 140*b - 37 + 1 - 4014*b**2 - 12 - 36*b**3.
4*(b - 12)*(b + 1)**3
Let z(u) be the third derivative of 0*u**4 - 1/1155*u**7 + 0 + 0*u**3 + 0*u + 2*u**2 + 1/660*u**6 + 0*u**5. Solve z(l) = 0 for l.
0, 1
Let u be (-8)/16 - (-18)/4. Let z be (0/2 - u) + (-408)/(-85). Suppose 4/5*p**4 - 1/5*p - 2/5*p**3 - z*p**2 + 3/5*p**5 + 0 = 0. Calculate p.
-1, -1/3, 0, 1
Let l be (20/6)/((-120)/(-180)). Let z(u) be the second derivative of -1/6*u**2 - 1/180*u**6 + 0 + 1/36*u**3 + 1/24*u**4 - 1/120*u**l - 6*u. Factor z(p).
-(p - 1)**2*(p + 1)*(p + 2)/6
Let d(m) be the third derivative of 0*m - 3/5*m**3 + 0 + 1/30*m**5 + 1/20*m**4 - 3*m**2 + 1/300*m**6. Factor d(t).
2*(t - 1)*(t + 3)**2/5
Let j(m) = m**4 - 23*m**2 - 10*m + 38. Let s(t) = -t**4 - t**3 + 23*t**2 + 9*t - 39. Let x(i) = 3*j(i) + 2*s(i). Find a such that x(a) = 0.
-3, -2, 1, 6
Let z(j) = 10*j**4 + 34*j**3 + 330*j**2 + 544*j + 265. Let v(u) = -u**4 - u**2 - 1. Let o(x) = 18*v(x) + 2*z(x). Find g, given that o(g) = 0.
-16, -1
Let j = 3 + 10. Factor -26*o**2 + 12*o**2 - 5 + 24*o + j.
-2*(o - 2)*(7*o + 2)
Let u be 6/9 - 6/9. Suppose 0 = -3*h + 6 - u. Factor 0*s**2 + 3*s**2 + s - 2*s**h.
s*(s + 1)
Let c(f) be the third derivative of 0 - 5/24*f**4 + 0*f + 0*f**3 + 1/24*f**6 + 0*f**5 + 4*f**2. Factor c(i).
5*i*(i - 1)*(i + 1)
Let r = 31 - 28. Suppose 0 = -p - 4*p + 15. Factor p*w**4 - 4*w**4 + 4*w**4 - 4*w**4 - 2*w**r - w**2.
-w**2*(w + 1)**2
Let p = 337/138 - 51/46. Factor 4/3*m**2 - 1/3*m + 1/3*m**3 - p.
(m - 1)*(m + 1)*(m + 4)/3
Suppose 0 = -n - s + 11, -s + 52 = 45. Factor 0*x + 0 + 1/3*x**3 - 1/3*x**n + 0*x**2.
-x**3*(x - 1)/3
What is i in -35*i**3 - 2*i**5 - 10*i + 15*i**3 + 8 - 20*i**2 - 10*i**4 - 10 = 0?
-1
Factor -2/7*p**2 + 32/7*p + 34/7.
-2*(p - 17)*(p + 1)/7
Let 25 - 11*q**2 + q**4 - 9*q**2 - 4*q**4 + 21*q**3 + 9*q**3 - 2*q**4 - 30*q = 0. What is q?
-1, 1, 5
Let y be (-2120)/(-600) + -1*3. Solve -4/15 + y*t**2 - 14/15*t = 0 for t.
-1/4, 2
Let j = -29 + 31. Factor 0*t**2 + 2*t**2 - 3*t**3 + t**j.
-3*t**2*(t - 1)
Let q(x) = -10*x**2 - 67*x + 24. Let h be q(-7). Let 0*v**h + 0*v - 2/3 - 2/3*v**4 + 4/3*v**2 = 0. What is v?
-1, 1
Let j(s) be the second derivative of -s**7/105 + 4*s**6/75 + s**5/25 - 2*s**4/5 - 3*s**3/5 + 37*s. Factor j(i).
-2*i*(i - 3)**2*(i + 1)**2/5
Let x = -160 + 164. Let q be (-1 + (-136)/(-84))/(x/36). Solve 5/7*m**4 - 27/7*m**3 + q*m + 25/7*m**2 - 18/7 = 0 for m.
-1, 2/5, 3
Let y(a) = -2*a**3 + 6*a**2. Let f(d) = d**4 - 9*d**3 + 25*d**2 + 1. Let r(k) = -2*f(k) + 9*y(k). Factor r(p).
-2*(p - 1)**2*(p + 1)**2
Let j = -21 + 24. Suppose -j + 13 = -u + 3*x, 4*x = 16. Factor 2*y + 7*y**2 - 7*y**u - 2*y**3.
-2*y*(y - 1)*(y + 1)
Let -69/5*w + 3/5*w**2 + 336/5 = 0. What is w?
7, 16
Let v(w) = 3*w**5 + 3*w**4 + 6*w**3 - 12*w**2 - 9*w. Let a(k) = 3*k**5 + k**4 + 7*k**3 - 13*k**2 - 10*k. Let y(c) = -3*a(c) + 4*v(c). Let y(t) = 0. Calculate t.
-2, -1, 0, 1
Let a be (11*28/(-308))/(((-2)/(-6))/(-1)). Let b be ((-1)/14)/(1/(-4)). Solve 0*u**a + 4/7*u**2 + 0 - b*u**5 + 2/7*u - 4/7*u**4 = 0.
-1, 0, 1
Let 9*c**2 - c**2 - 8*c - 9*c**3 + 16 - 2*c - 10*c + 8*c**3 = 0. Calculate c.
2, 4
Let p(t) = t**2 - 59*t + 368. Let m be p(7). Let d(w) be the first derivative of -16/3*w**2 - 8/3*w**3 - 1/15*w**5 - 2/3*w**m - 16/3*w + 8. Factor d(h).
-(h + 2)**4/3
Let f(c) = -12*c**2 + 20*c + 18. Let t(x) = -x**2 + 3*x - 1. Let r(s) = f(s) - 10*t(s). Determine v, given that r(v) = 0.
-7, 2
Factor -28/3*v + 6*v**2 - 16/3.
2*(v - 2)*(9*v + 4)/3
Let p be 12/(-5)*(-2)/12*15. Let q(y) be the third derivative of 1/300*y**p + 0*y**3 + 0 + 0*y + 5*y**2 - 1/60*y**4 + 0*y**5. Factor q(x).
2*x*(x - 1)*(x + 1)/5
Let a be 3 - 4 - 32/(-28). Let m(b) = 3*b + 27. Let p be m(-9). Factor -a*l**2 + p*l + 4/7.
-(l - 2)*(l + 2)/7
Let m be (-72)/(-33) + 14/(-77). Factor 0*n + 3/2 - 3/8*n**m.
-3*(n - 2)*(n + 2)/8
Let a = 19081/5 + -3815. Find j such that 6/5*j**2 - 16/5*j - a = 0.
-1/3, 3
Suppose -5 = -l, -4*v - 51 = -l - 54. Suppose -14/5*q**4 - 32/5*q + 6*q**3 - 2*q**v + 2/5*q**5 + 24/5 = 0. Calculate q.
-1, 1, 2, 3
Let m(v) be the second derivative of -v**4/6 + 7*v**3 + 22*v**2 + 67*v. Determine r, given that m(r) = 0.
-1, 22
Let q(j) be the first derivative of 1/5*j**5 + 1/30*j**6 - 4/5*j**2 - 1/15*j**3 + 2 - 4/5*j + 7/20*j**4. Solve q(g) = 0.
-2, -1, 1
Let l(w) be the third derivative of 0*w + 1/2*w**4 - 13*w**2 + 0*w**3 + 7/15*w**5 + 0. Determine s, given that l(s) = 0.
-3/7, 0
Let t(m) be the third derivative of m**8/112 - m**7/14 + 7*m**6/40 + m**5/20 - m**4 + 2*m**3 + 68*m**2. Determine b so that t(b) = 0.
-1, 1, 2
Let q(l) be the second derivative of -3*l**5/140 - l**4/2 - 13*l**3/14 + 12*l. What is s in q(s) = 0?
-13, -1, 0
Let m(y) = -8*y**4 - 18*y**3 - 18*y**2 - 2*y - 4. Let r(w) = -42*w**4 - 92*w**3 - 92*w**2 - 9*w - 22. Let s(v) = -11*m(v) + 2*r(v). Factor s(b).
2*b*(b + 1)*(b + 2)*(2*b + 1)
Let l(s) be the third derivative of s**6/600 - s**5/100 - 3*s**4/40 + s**3 - 7*s**2. Let w(d) be the first derivative of l(d). Factor w(q).
3*(q - 3)*(q + 1)/5
Let w be (-3 - 19/(-5)) + (-175)/500. Let c(y) be the second derivative of -1/10*y**6 + 0*y**2 + 0 + 1/4*y**4 + 1/14*y**7 + y**3 - w*y**5 - 2*y. Factor c(q).
3*q*(q - 2)*(q - 1)*(q + 1)**2
Let f be 15/9 - 2 - 2325/(-1116). Factor f*g**2 + 0 - 1/2*g.
g*(7*g - 2)/4
Let d(g) be the second derivative of g**7/126 + g**6/30 + g**5/20 + g**4/36 + 8*g + 3. Factor d(j).
j**2*(j + 1)**3/3
Suppose 2/3*n + 1/6*n**2 + 0 = 0. Calculate n.
-4, 0
Let q(k) be the first derivative of 169*k - 13*k**2 + 1/3*k**3 - 52. Suppose q(l) = 0. Calculate l.
13
Let y(x) = -2*x**3 + 77*