).
-2*t*(t + 2)/7
Let m(x) be the third derivative of -x**6/80 + 100*x**2. Factor m(i).
-3*i**3/2
Let n(c) = 2*c**2 + 3*c + 1. Let y(o) = -35*o**2 - 50*o - 15. Let z(m) = 50*n(m) + 3*y(m). Let z(b) = 0. Calculate b.
-1, 1
Let l = 24 + -20. Let k be (-5 - 1)/(6/(-3)). Suppose -3*x**2 + 10*x + 3*x**5 - 3*x**3 + k*x**l - 10*x = 0. What is x?
-1, 0, 1
Let k(m) = -m**3 + 22*m**2 - 57*m - 57. Let x be k(4). Determine a so that 5 + 3*a - 9/5*a**2 + 1/5*a**x = 0.
-1, 5
Let d(w) = 3*w**3 - w. Let p be d(1). Suppose 4*j + 3*a - 7 = p*a, -j + 13 = -2*a. Factor 2*y - 2*y**2 - 2*y - y + j*y.
-2*y*(y - 1)
Let t(k) be the first derivative of 0*k**2 + 1/18*k**6 - 13 + 2/9*k**3 - 1/12*k**4 - 2/15*k**5 + 0*k. Factor t(o).
o**2*(o - 2)*(o - 1)*(o + 1)/3
Let r be (-8 - (-3 - 1))*(1 - 2). Solve 6*u**2 - 4*u**3 + 20*u - 4*u**r + 822 - 814 + 6*u**2 = 0.
-1, 2
Let l(u) = -u**2 + u + 5. Let k(h) = -4*h**2 + 7*h + 17. Let o(d) = k(d) - 5*l(d). Find q such that o(q) = 0.
-4, 2
Suppose -2*z = 10*z - 36. Let n(q) be the third derivative of 0 + 1/3*q**z - 1/30*q**5 + 1/60*q**6 + q**2 + 0*q - 1/12*q**4. Let n(j) = 0. Calculate j.
-1, 1
Let d = 7237/60 + -1798/15. Factor 3/4*o**3 - d*o**2 - 3/2*o + 0.
3*o*(o - 2)*(o + 1)/4
Suppose -u - 15 = 2*p - 7, 4*p = 5*u - 30. Let b(w) be the first derivative of -1/3*w**6 + 2*w + 5 - w**u + 2/5*w**5 - 4/3*w**3 + w**4. Factor b(j).
-2*(j - 1)**3*(j + 1)**2
Let r(w) be the first derivative of -13*w**4/6 - 10*w**3/3 - 2*w**2/3 - 78. Factor r(z).
-2*z*(z + 1)*(13*z + 2)/3
Let c(x) be the third derivative of x**5/40 - x**4/16 - x**3/2 - 2*x**2 - 54*x. Factor c(a).
3*(a - 2)*(a + 1)/2
Let h be 6/(-30) + (-3 - 1536/(-280)). Factor 0 + 10/7*i**4 + h*i - 36/7*i**3 + 24/7*i**2.
2*i*(i - 2)**2*(5*i + 2)/7
Let m(h) be the second derivative of -5*h**4/12 + 25*h**3/6 - 15*h**2 - 5*h + 29. Find l, given that m(l) = 0.
2, 3
Let g(p) = p**4 - p**3 - p + 1. Suppose -7*j + 6*j = -5. Let l(z) = -35*z**3 - 45*z**2 - 5*z + 5. Let d(h) = j*g(h) - l(h). Factor d(c).
5*c**2*(c + 3)**2
Suppose 2*n = 3*d + 6*n + 8, 2*d + 7 = -3*n. Let a(l) be the first derivative of -3/4*l**d - l**3 + 0*l**2 - 6 + 0*l. Determine b, given that a(b) = 0.
-1, 0
Suppose -111 - 2*l**2 + 327 - 16*l - 48 = 0. Calculate l.
-14, 6
Let n(x) = x**2 - x - 1. Let t(q) = -11*q**2 - 174*q - 169. Let z(g) = -6*n(g) - t(g). Factor z(o).
5*(o + 1)*(o + 35)
Let n(j) = -8*j**4 - 55*j**3 - 32*j**2 - 10*j. Let a(g) = -12*g**4 - 84*g**3 - 48*g**2 - 16*g. Let c(m) = -5*a(m) + 8*n(m). Solve c(f) = 0 for f.
-4, -1, 0
Let c = 15325/72884 - -1/3836. What is q in -c + 14/19*q**2 + 10/19*q = 0?
-1, 2/7
Let f = 21025 + -105124/5. Find z such that 4/5*z**2 + 0 - f*z**4 + 8/5*z - 2/5*z**3 = 0.
-2, 0, 2
Let c(p) be the second derivative of -p**7/2520 + p**6/216 - p**5/45 + p**4/18 - 23*p**3/3 - 34*p. Let i(k) be the second derivative of c(k). Factor i(o).
-(o - 2)**2*(o - 1)/3
Let m(k) = -k**3 - 4*k**2 + 2*k + 3. Let o be m(-4). Let a be o/(-2) - (-1 + 5 + -2). Factor -1/4*r**2 + a - 1/4*r.
-(r - 1)*(r + 2)/4
Let y(j) be the second derivative of 2*j**6/3 + 4*j**5/5 - 17*j**4/5 + 12*j**3/5 - 3*j - 17. Find f, given that y(f) = 0.
-2, 0, 3/5
Let y(a) be the second derivative of 110/3*a**4 + 29*a + 0 + 6*a**6 - 259/5*a**5 - 16*a**2 + 200/21*a**7 + 8*a**3. What is p in y(p) = 0?
-2, -1/4, 2/5, 1
Let t = 2357/10896 - 16/227. Let h(l) be the second derivative of -t*l**4 + 0 - 1/24*l**6 + 0*l**2 + 9/80*l**5 + 1/12*l**3 + 2*l + 1/168*l**7. Factor h(v).
v*(v - 2)*(v - 1)**3/4
Factor 0*t - 1/6*t**4 + 0 + 15/2*t**2 - 2/3*t**3.
-t**2*(t - 5)*(t + 9)/6
Let l(d) be the first derivative of d**4/6 - 4*d**3/3 + 3*d**2 + 18*d + 34. Let q(w) be the first derivative of l(w). What is t in q(t) = 0?
1, 3
Let -45*j**2 - 46 - 145*j + 36 - 77*j**2 - 13*j**2 = 0. Calculate j.
-1, -2/27
Factor -7 + 12 + 68*x + x**3 + 3*x**3 + 11 + 7 - 95*x**2.
(x - 23)*(x - 1)*(4*x + 1)
Let x(m) = -3*m**2 + 16*m - 58. Let w(n) = n**2 - 3. Let p(s) = 2*w(s) + x(s). Factor p(h).
-(h - 8)**2
Let o(c) be the second derivative of -c**4/114 - 5*c**3/57 - 9*c. Suppose o(u) = 0. What is u?
-5, 0
Let j(a) be the second derivative of -a**8/20160 - a**7/2520 - 7*a**4/12 + 7*a. Let z(v) be the third derivative of j(v). Suppose z(n) = 0. What is n?
-3, 0
Let d(q) be the third derivative of 0*q**4 + 0 - 1/40*q**6 + 3/20*q**5 + 0*q - 25*q**2 - 2*q**3. Solve d(t) = 0 for t.
-1, 2
Let d = -333 + 2003/6. Let v = d - -2/3. Factor -1/2*g**2 + v*g - 1.
-(g - 2)*(g - 1)/2
Let t(g) be the third derivative of g**5/120 - g**4/12 + g**3/3 + 4*g**2 - g. Find y, given that t(y) = 0.
2
Let g be 8/6 - (-1904)/(-969). Let d = 40/57 - g. What is q in -1/3*q**2 - d - 4/3*q = 0?
-2
Suppose -d = 4 - 6. Let z = 7 + -5. Let 4 - 12*f**z - 2*f**2 - 12*f - 2*f**d = 0. Calculate f.
-1, 1/4
Find s such that -1/6*s**4 + 0 - 1/6*s**5 + 2/3*s**3 + 2/3*s**2 + 0*s = 0.
-2, -1, 0, 2
Let f(l) be the third derivative of -2/21*l**7 + 2/15*l**5 + 0 + 0*l**4 - 1/10*l**6 + 0*l**3 + 10*l**2 + 0*l. Factor f(p).
-4*p**2*(p + 1)*(5*p - 2)
Let b(w) = -w**4 - w**3 + w**2 + w - 1. Let p(y) = 2*y**5 + 11*y**4 - 3*y**3 - 21*y**2 + y + 11. Let c(h) = b(h) + p(h). Let c(r) = 0. What is r?
-5, -1, 1
Let -63/5*p**2 + 0*p + 48/5 + 3*p**3 = 0. What is p?
-4/5, 1, 4
Let y = -4/2905 - -61013/5810. Suppose -3/4*b**2 - 147/4 + y*b = 0. What is b?
7
Let l(a) be the first derivative of a**3/4 - 15*a**2/2 + 57*a/4 - 19. Factor l(f).
3*(f - 19)*(f - 1)/4
Let j(r) = -r**2 - 2*r - 1. Let c be j(-1). Let w be (-84)/(-15) + (-48)/30. Suppose 0*g + g**2 + c + 1/4*g**w - g**3 = 0. Calculate g.
0, 2
Let v(g) be the third derivative of 0*g**5 + 0*g + 5/3*g**3 + 1/24*g**6 - 5/8*g**4 - 21*g**2 + 0. Factor v(o).
5*(o - 1)**2*(o + 2)
Let s(n) be the third derivative of -2*n**2 + 0*n**4 + 0*n**3 + 0*n - 1/210*n**5 + 0 - 1/735*n**7 - 1/210*n**6. What is c in s(c) = 0?
-1, 0
Let i = 206 + -201. Let v(o) be the first derivative of -2/5*o**i + 3 + 54*o**2 - 24*o**3 + 5*o**4 - 54*o. Factor v(j).
-2*(j - 3)**3*(j - 1)
Let m(q) be the second derivative of q**7/1890 - q**6/270 + q**5/90 - 5*q**4/3 - q. Let s(i) be the third derivative of m(i). Factor s(h).
4*(h - 1)**2/3
Suppose -2 = -3*g + 4. Factor -4*y**2 + 4*y**2 + 2*y + y**3 - 3*y**g.
y*(y - 2)*(y - 1)
Let y(p) be the second derivative of 2*p**6/15 - 6*p**5/5 - 8*p**4 - 52*p**3/3 - 18*p**2 + 37*p - 3. Factor y(c).
4*(c - 9)*(c + 1)**3
Suppose 9*k - 6*k = 6. Suppose i - 2*i + 2*l - 8 = 0, 0 = i + k*l - 8. Determine x, given that 22/7*x**2 + 4/7*x + i - 18/7*x**5 + 2*x**3 - 22/7*x**4 = 0.
-1, -2/9, 0, 1
Let x(a) be the first derivative of 14*a**3/33 - 68*a**2/11 - 40*a/11 - 268. Factor x(f).
2*(f - 10)*(7*f + 2)/11
Let u(d) be the first derivative of -5*d**3/3 - 8*d**2 + 9*d + 3. Let y(i) = i**2 + 4*i - 2. Let o(m) = -2*u(m) - 9*y(m). Suppose o(n) = 0. What is n?
0, 4
Let r(c) be the second derivative of c**6/75 - c**5/50 - c**4/10 + c**3/15 + 2*c**2/5 + 72*c. Let r(m) = 0. What is m?
-1, 1, 2
Let o(i) be the third derivative of i**7/2625 - i**6/500 + 38*i**2. Factor o(u).
2*u**3*(u - 3)/25
Let t(q) be the third derivative of -q**8/560 - 3*q**7/140 - q**6/15 - 4*q**3 - 10*q**2. Let n(z) be the first derivative of t(z). Factor n(h).
-3*h**2*(h + 2)*(h + 4)
Factor 1137 + 119*s - 25*s + 1072 + s**2.
(s + 47)**2
Find d such that 20*d**2 + 11*d**3 + 51*d**4 - 4*d**3 + 9*d**3 + 54*d**4 + 8*d - 101*d**4 = 0.
-2, -1, 0
Suppose 10*b = 5*b. Suppose -f + b*f + 3 = 0. What is s in 0 + 4/3*s**2 + 1/6*s + 8/3*s**f = 0?
-1/4, 0
Let j(z) be the third derivative of 0*z - 8*z**2 + 1/21*z**7 - 1/20*z**6 + 1/4*z**4 + 0 + 2/3*z**3 - 7/30*z**5. Let j(o) = 0. What is o?
-1, -2/5, 1
Let l(u) = -32*u**3 + 68*u**2 - 40*u + 8. Let n(v) = -32*v**3 + 68*v**2 - 40*v + 9. Let m(g) = -5*l(g) + 4*n(g). Let m(w) = 0. Calculate w.
1/8, 1
Let w be (65/(-250))/(-13)*2/4. Let q(v) be the second derivative of -4*v + 0 + 0*v**2 + 1/210*v**7 - w*v**5 + 1/60*v**4 - 1/150*v**6 + 0*v**3. Factor q(r).
r**2*(r - 1)**2*(r + 1)/5
Suppose 3*j - 27 = -18. Let k be 4 - (-2)/(4/22). Let -17*g**j + 10*g**2 + k*g - 19*g**3 + 31*g**3 = 0. Calculate g.
-1, 0, 3
Let q(c) be the third derivative of 0*c - 51*c**2 + 0 + 0*c**3 + 1/330*c**5 - 1/44*c**4. Suppose q(v) = 0. What is v?
0, 3
Let m(h) be the first derivative of -h**6/1260 + h**5/210 + 5*h**3/3