termine j, given that n(j) = 0.
0
Let l(b) be the third derivative of -b**8/672 - 2*b**7/105 - b**6/16 + b**5/15 + b**4/3 - 5*b**2 - 4. Determine j, given that l(j) = 0.
-4, -1, 0, 1
Let m(o) be the second derivative of 14*o + 0*o**2 - 5/9*o**3 + 1/18*o**4 + 0. Suppose m(l) = 0. Calculate l.
0, 5
Suppose 3*b + 0*b = 3*y + 18, -4*y = 5*b + 6. Suppose -3*o = 2*o - 25. Factor 4*c**o - c + 0*c**5 - 10*c**3 + 5*c + b*c**3.
4*c*(c - 1)**2*(c + 1)**2
Let c(b) be the third derivative of b**7/21 - 47*b**6/24 + 23*b**5/12 - 26*b**2. Let c(z) = 0. What is z?
0, 1/2, 23
Let a(d) be the first derivative of -1/54*d**4 + 0*d**3 + 0*d**2 - 10 + 2*d. Let f(j) be the first derivative of a(j). Factor f(l).
-2*l**2/9
Suppose -16/9*g + 0 + 0*g**2 + 4/9*g**3 = 0. What is g?
-2, 0, 2
Let z(x) = -2*x**2 - 15*x - 3. Let s(w) = 3*w + 1. Let f(d) = -10*s(d) - 2*z(d). Factor f(a).
4*(a - 1)*(a + 1)
Let c be ((-117)/(-42))/3 - 412/(-721). Factor 7/2*s - c - 5/2*s**2 + 1/2*s**3.
(s - 3)*(s - 1)**2/2
Solve 11/3*p**5 - 20/3*p - 68/3*p**2 + 0 + 69*p**3 - 130/3*p**4 = 0 for p.
-2/11, 0, 1, 10
Let d = 1/164 - -37/7380. Let s(v) be the third derivative of -v**2 + 0 - d*v**5 + 0*v**3 + 0*v + 0*v**4. Determine z so that s(z) = 0.
0
Let m(v) = -v**3 - 14*v**2 - 43*v - 45. Let z(x) = x**2 + x - 1. Let n(g) = m(g) + 3*z(g). Solve n(f) = 0.
-4, -3
Suppose 7*i - 203 = -987. Let u = -1230/11 - i. Factor 4/11*r - 6/11 + u*r**2.
2*(r - 1)*(r + 3)/11
Suppose 4*s - 20 = 0, -w + s - 5 = 2*s. Let m(z) = -8*z**3 - 2*z + 10. Let x(r) = r**3 - 1. Let t(c) = w*x(c) - m(c). Factor t(b).
-2*b*(b - 1)*(b + 1)
Let i(t) be the third derivative of 0*t**3 + 17/20*t**5 - 36*t**2 + 0*t - 1/4*t**4 + 0 - 3/8*t**6. Factor i(l).
-3*l*(l - 1)*(15*l - 2)
Let l = -20458 + 20461. Factor 1/3*h**l + 4/3*h**4 + 1/3*h**5 - 10/3*h**2 - 4/3*h + 8/3.
(h - 1)**2*(h + 2)**3/3
Let s(o) = o**2 + 7*o + 5. Let d(t) = -t**3 - 9*t**2 - 6*t + 9. Let r be d(-8). Let p be s(r). Factor 2*z**p - 6*z**3 - 2*z**2 - z**2 - 2*z**4 + 5*z**2 + 4*z.
2*z*(z - 2)*(z - 1)*(z + 1)**2
Let t(w) be the second derivative of 1/5*w**5 - 1/3*w**4 - 4/3*w**3 + 0*w**2 + 0 - w. Find v such that t(v) = 0.
-1, 0, 2
Suppose -4*o + 8*o = -8. Let c be 3/o - (-10)/4. Determine v so that -v + c - v**2 - 1 = 0.
-1, 0
Let l(h) = h**3 + 20*h**2 + 31*h + 228. Let p be l(-19). Solve -5*q + p - 5/3*q**2 = 0.
-3, 0
Let i(s) be the second derivative of -s**6/105 - 4*s**5/35 + 5*s**4/7 - 32*s**3/21 + 11*s**2/7 + 6*s - 6. Suppose i(z) = 0. Calculate z.
-11, 1
Let f = 28 - 25. Factor -12*w**f + 12*w - 3 + 15 - 15*w**2 - 3*w**4 + 6*w**2.
-3*(w - 1)*(w + 1)*(w + 2)**2
Suppose 30*j**3 + 648*j - 648 - 3/2*j**4 - 216*j**2 = 0. What is j?
2, 6
Let l = -690 + 692. Let x(s) be the first derivative of -3/4*s**l - s + 1/8*s**4 + 4 + 0*s**3. Factor x(z).
(z - 2)*(z + 1)**2/2
Let o(g) be the first derivative of -g**6/27 - 2*g**5/15 - g**4/18 + 2*g**3/9 + 2*g**2/9 + 18. Suppose o(p) = 0. What is p?
-2, -1, 0, 1
Let d(c) = 7*c**2 - 50*c + 16. Let g(b) = -3*b**2 + 23*b - 8. Let t(a) = -4*d(a) - 9*g(a). Determine m, given that t(m) = 0.
-8, 1
Let u be (-22)/231*(-3)/(18/28). Find v, given that 2/9 - u*v + 2/9*v**2 = 0.
1
Let o(p) = -p**4 + p**2 - p. Let r(h) = 8*h**4 + h**3 - 7*h**2 + 9*h. Let l be ((-1)/((-14)/72))/((-3)/(-21)). Let a(j) = l*o(j) + 4*r(j). Factor a(z).
-4*z**2*(z - 2)*(z + 1)
Suppose -7*p + 303 - 289 = 0. Factor 2/3 + 1/3*i**p + i.
(i + 1)*(i + 2)/3
Suppose 4*h - d - 167 = 0, -5*h + 3*d = -0*h - 207. Factor 21*k**2 - 22*k - 3 - 12*k**3 - 26*k + h*k.
-3*(k - 1)**2*(4*k + 1)
Let z(v) be the second derivative of -4*v + 1/3*v**2 - 1/36*v**4 + 1/20*v**5 - 1/90*v**6 - 1/6*v**3 + 0. Find t, given that z(t) = 0.
-1, 1, 2
Let c be 15/(-18) - ((-539)/(-66) - 9). What is z in 0*z**2 + 4/3*z**5 - 8/3*z**4 + c*z + 0 + 4/3*z**3 = 0?
0, 1
Let u(p) be the second derivative of p**5/60 - p**4/24 + 6*p**2 + 6*p. Let l(q) be the first derivative of u(q). Find x, given that l(x) = 0.
0, 1
Let q(t) = 2*t**2 + 21*t + 12. Let m be q(-10). Suppose 2*s + m*s - d - 20 = 0, -5*d = s + 16. Factor 0 + 8 + s - 12*y + 3*y**2.
3*(y - 2)**2
Let o be 184/308 - (-72)/132. Let -o - 4/7*q**2 - 12/7*q = 0. Calculate q.
-2, -1
Suppose -15*r = -13*r - 2. Suppose -s + 2*l = l - r, 0 = l + 1. Factor -2/11*m**3 + 0*m + s - 2/11*m**2.
-2*m**2*(m + 1)/11
Let o = -93457/4 + 23365. Suppose -o*n**2 + 9/2 + 3/4*n = 0. Calculate n.
-2, 3
Let d = -11/381 + 892/70485. Let g = 403/2035 + d. Factor g*c**4 - 6/11*c**2 - 4/11 + 10/11*c - 2/11*c**3.
2*(c - 1)**3*(c + 2)/11
Suppose 0 = 8*o + 25 - 41. Let i(a) be the first derivative of 0*a + o + 2/33*a**3 + 1/11*a**2. Factor i(l).
2*l*(l + 1)/11
Let r(q) be the third derivative of q**7/105 - q**6/10 + 4*q**5/15 + q**4/2 - 3*q**3 - 2*q**2 + 7. Find f, given that r(f) = 0.
-1, 1, 3
Let x(y) be the second derivative of -y**4/4 - 3*y**3/2 - 76*y. Factor x(l).
-3*l*(l + 3)
Let z = 47552 - 47549. Factor -1/2*u**2 + 0 + 0*u - 1/4*u**z.
-u**2*(u + 2)/4
Let y(c) be the second derivative of 0*c**2 + 1/3*c**6 + 1/3*c**3 + 0 - 5/6*c**4 - 3/28*c**7 - 16*c + 1/8*c**5. What is a in y(a) = 0?
-1, 0, 2/9, 1, 2
Let 22/7*k - 2/7*k**3 - 16/7*k**2 + 36/7 = 0. Calculate k.
-9, -1, 2
Let l = -63 + 66. Factor 2*q**3 - 6*q**3 - q**2 - 9*q**2 + 9*q**l + 5*q.
5*q*(q - 1)**2
Factor -363/4*v - 187/4*v**2 - 25/4*v**3 - 1/4*v**4 + 0.
-v*(v + 3)*(v + 11)**2/4
Let s(x) be the third derivative of 0 + 0*x**3 + 1/30*x**5 + 0*x + 28*x**2 + 1/105*x**7 - 1/30*x**6 + 0*x**4. Factor s(t).
2*t**2*(t - 1)**2
Let b(p) be the second derivative of 0 + 4*p - 1/20*p**5 + 0*p**2 - 1/18*p**4 + 0*p**3 - 1/90*p**6. What is f in b(f) = 0?
-2, -1, 0
Suppose -5*z - 5*a - 2 = -7, a - 13 = -4*z. Suppose 13 = -z*l + 73. Factor 5*u**2 - l*u**3 + 6 + 22*u**2 - 21*u - 16*u**4 + 19*u**4.
3*(u - 2)*(u - 1)**3
Suppose -5*u + 11 + 2 = 2*a, u - 4 = a. Let h(z) be the first derivative of 2/9*z**u - 1/6*z**2 + 0*z**4 - 2 + 1/18*z**6 + 0*z - 2/15*z**5. Factor h(k).
k*(k - 1)**3*(k + 1)/3
Let w(x) be the second derivative of -x**4/30 + x**3/3 + 6*x**2/5 + 2*x + 6. Factor w(n).
-2*(n - 6)*(n + 1)/5
Suppose -1408*i - 6 - 2 = -1412*i. Factor -f + 1/5*f**i + 4/5.
(f - 4)*(f - 1)/5
Let f(h) be the third derivative of -37*h**2 + 5/3*h**3 + 5/48*h**4 + 0*h + 0 - 1/48*h**5. Factor f(p).
-5*(p - 4)*(p + 2)/4
Let q(g) be the third derivative of g**5/60 + g**4/8 - 207*g**2. Factor q(z).
z*(z + 3)
Let m be (-118)/(-4) - (-4)/(-8)*1. Factor -34*y + m*y - 2*y**2 + 2*y**2 + 5*y**2.
5*y*(y - 1)
Factor 6 - 4/5*r - 2/5*r**2.
-2*(r - 3)*(r + 5)/5
Let p(r) be the second derivative of -9*r**2 + 0 - 10*r - 7/4*r**4 + 23/2*r**3. Suppose p(d) = 0. Calculate d.
2/7, 3
Let f(p) be the second derivative of 1/3*p**4 + 0 + 1/3*p**2 - 4/9*p**3 + 2*p - 2/15*p**5 + 1/45*p**6. Factor f(t).
2*(t - 1)**4/3
Suppose 4 = 5*w - 3*w. Let -12 - 2*o**2 - 3*o**2 + 4*o**2 + 15*o - 2*o**w = 0. What is o?
1, 4
Determine u so that 52/7*u**4 + 4/7*u + 0 - 6*u**3 + 2/7*u**2 - 16/7*u**5 = 0.
-1/4, 0, 1/2, 1, 2
Suppose -4 + 24 = 5*a. What is b in 12*b**4 + a*b**3 - 16*b**2 + 3*b**3 - 4*b**5 + 4*b**4 - 3*b**3 = 0?
-1, 0, 1, 4
Let j(u) be the third derivative of -u**7/1050 + u**6/120 - u**5/150 - u**4/15 + 5*u**2 - 25. Find b such that j(b) = 0.
-1, 0, 2, 4
Let q be 14/16*216/378. What is b in -q*b**2 + 0 + 1/2*b**4 - 5/2*b**3 + 3/2*b**5 + b = 0?
-1, 0, 2/3, 1
Let j(l) be the third derivative of -l**6/480 - l**5/80 + l**4/6 + 2*l**3 - 504*l**2. Factor j(h).
-(h - 4)*(h + 3)*(h + 4)/4
Let f = -1378 - -1378. Let x(b) be the third derivative of 0*b**3 - 1/30*b**6 + 4/105*b**7 + 0*b + 0 - 1/84*b**8 + 0*b**4 + 3*b**2 + f*b**5. Factor x(y).
-4*y**3*(y - 1)**2
Let j(p) be the third derivative of -p**8/40320 + p**7/2016 - p**6/360 + 17*p**5/60 + 23*p**2. Let m(a) be the third derivative of j(a). Factor m(g).
-(g - 4)*(g - 1)/2
Let k(i) be the third derivative of i**6/720 - i**5/240 + i**3 - 5*i**2. Let v(p) be the first derivative of k(p). Factor v(h).
h*(h - 1)/2
Let o(t) be the first derivative of -t**4/6 + 4*t**3/3 - 4*t**2 - 5*t + 1. Let d(i) be the first derivative of o(i). Factor d(k).
-2*(k - 2)**2
Let k(z) be the second derivative of -z**6/420 + z**5/210 + z**2 + 5*z. Let g(b) be the first derivative of k(b). Factor g(s).
-2*s**2*(s - 1)/7
Let c(f) be the third derivative of f**7/1365 + f**6/