g**5 + q*g**3 + 0*g**2 + 0.
-5*g**4*(g - 2)/3
Let o(s) be the second derivative of 0 + 1/2*s**3 - 14*s + 0*s**2 + 1/12*s**4. Factor o(m).
m*(m + 3)
Suppose 10*u - 14*u = 0. Let d be ((-129)/(-430))/((-3)/(-4)). Suppose u*f - 2/5*f**5 - 2/5*f**4 + d*f**2 + 0 + 2/5*f**3 = 0. Calculate f.
-1, 0, 1
Let y = 1 + -1. Let u be (-30)/(-6)*(12 - (11 + 0)). Factor y + 1/9*v**u - 4/9*v**2 + 4/9*v**4 + 1/3*v**3 - 4/9*v.
v*(v - 1)*(v + 1)*(v + 2)**2/9
Let k(x) = -4*x**2 - 16*x - 7. Let a(w) = -w + 23*w + 10 + 6*w**2 + 2*w. Let o(z) = -5*a(z) - 8*k(z). What is s in o(s) = 0?
-3, -1
Let w(b) be the first derivative of -b**4/10 - 2*b**3/15 + 14*b**2/5 + 48*b/5 - 120. Let w(v) = 0. Calculate v.
-3, -2, 4
Suppose 0 = 2*x - 37 - 21. Let j = x + -26. Suppose j*a**2 - 39*a**4 - 6*a + 15*a**5 - 14 + 27*a**3 + 14 = 0. What is a?
-2/5, 0, 1
Let w(q) be the third derivative of 0 - 7/160*q**6 + 7/32*q**4 + 0*q + 1/40*q**5 + 19*q**2 - 1/4*q**3. What is h in w(h) = 0?
-1, 2/7, 1
Let t = 696/1765 + 2/353. Let n be (-2)/2 + 21*2/30. Find k such that 0*k + t*k**4 - 4/5*k**2 + 0 - n*k**3 = 0.
-1, 0, 2
Let k(u) be the third derivative of -2*u**7/105 - u**6/15 + 4*u**5/15 + u**4/3 - 2*u**3 - 13*u**2 + 15. Solve k(x) = 0 for x.
-3, -1, 1
Let v(m) be the second derivative of 0*m**2 - 8/25*m**6 + 0*m**3 - 6*m + 33/100*m**5 - 1/10*m**4 + 0 + 1/10*m**7. Find z, given that v(z) = 0.
0, 2/7, 1
Let u(w) be the second derivative of -w**9/21168 + w**8/6720 + w**7/2205 - w**6/1260 + 41*w**4/12 + 36*w. Let v(s) be the third derivative of u(s). Factor v(f).
-f*(f - 2)*(f + 1)*(5*f - 2)/7
Let t(j) be the first derivative of -j**4 + 20*j**3/3 + 2*j**2 - 20*j - 464. Suppose t(s) = 0. What is s?
-1, 1, 5
Suppose -5*u + 2 = -8. Let a be (-2)/((-12)/(-9))*54/(-45). Factor -3/5*d**3 - a*d**u - 9/5*d - 3/5.
-3*(d + 1)**3/5
Factor 2*u**3 + 22 - 65*u + 3*u**3 + 82*u**2 - 22 - 22*u**2.
5*u*(u - 1)*(u + 13)
Let j = 53 - 48. Determine h, given that -2*h**5 + h**4 + 0*h**3 - 4*h**4 + 0*h**j + 3*h**2 + h**3 + h = 0.
-1, -1/2, 0, 1
Let l(f) = f**3 + 2*f**2 + f. Let x(t) = 9*t**3 + 20*t**2 + 13*t + 2. Let c(g) = -4*l(g) + 2*x(g). Determine v so that c(v) = 0.
-1, -2/7
Let i(k) be the third derivative of -1/84*k**4 + 3*k**2 - 2/21*k**3 + 0*k + 0 + 1/420*k**6 + 1/105*k**5. Factor i(t).
2*(t - 1)*(t + 1)*(t + 2)/7
Determine y, given that 5*y**2 - 10*y + 624 + 622 - 1286 = 0.
-2, 4
Find x, given that 0 + 3*x**4 - 6*x - 3/2*x**3 + 1/2*x**5 - 10*x**2 = 0.
-6, -1, 0, 2
Suppose -f = 2*c + 2*f - 60, 3*c - 91 = -4*f. Let w = 35 - c. Solve 2/5 - 3/5*b + 1/5*b**w = 0.
1, 2
Let j(o) be the second derivative of o**5/70 - 5*o**4/42 + 8*o**3/21 - 4*o**2/7 + 105*o. Let j(t) = 0. Calculate t.
1, 2
Let k(p) be the third derivative of p**7/2520 + p**6/120 + 3*p**5/40 - 5*p**4/8 - 26*p**2. Let s(z) be the second derivative of k(z). What is g in s(g) = 0?
-3
Factor 0*k**3 + 28/3*k**2 + 0 + 8*k - 4/3*k**4.
-4*k*(k - 3)*(k + 1)*(k + 2)/3
Let w(y) = y**2 + y - 1. Suppose 5*k + 1 = -4. Let z(a) = 2*a**3 - 7*a**2 - a + 9. Let i(q) = k*z(q) - w(q). Factor i(g).
-2*(g - 2)**2*(g + 1)
Let l(k) be the third derivative of k**7/42 + 41*k**6/12 + 1597*k**5/12 - 1435*k**4/2 + 1470*k**3 - 110*k**2 + 2*k. Find u such that l(u) = 0.
-42, 1
Suppose -2*z = -5*r + 2*r + 3, -3*z - 2*r - 37 = 0. Let u = 12 + z. Factor -3*i**4 + 4*i**3 + 0*i**u - i**4.
-4*i**3*(i - 1)
Let y(g) be the first derivative of -2*g**3/15 + 23*g**2/5 + 48*g/5 + 627. Solve y(i) = 0.
-1, 24
What is i in 7/2*i**2 - 11/2*i**4 + 5/4*i**5 + 23/4*i**3 - 7*i + 2 = 0?
-1, 2/5, 1, 2
Let g(d) = d**3 + 3*d**2 - 36*d - 52. Let n be g(-7). Determine f so that -4/9*f**5 - 142/9*f**3 - 16/9 - 193/9*f**2 - 41/9*f**n - 104/9*f = 0.
-4, -1, -1/4
Let p(v) be the third derivative of -v**6/600 - 7*v**5/300 + v**4/120 + 7*v**3/30 - 8*v**2 - 4*v. Let p(u) = 0. Calculate u.
-7, -1, 1
Suppose p + 0*p = 3. Suppose -65*r - r**2 - 12 - p*r**2 + 81*r = 0. Calculate r.
1, 3
Let q(w) = 2*w**3 + 16*w**2 + 4*w - 15. Let g(b) = 2*b**3 + 17*b**2 + 5*b - 14. Let o(t) = 5*g(t) - 4*q(t). Let o(a) = 0. Calculate a.
-10, -1, 1/2
Let s be ((-140)/(-4))/7*1. Suppose -3*c + 4*c - 10 = 0. Factor -8*k**3 - 2*k + 2*k**2 - 4 - 4*k**s - c*k**2 + 14*k + 12*k**4.
-4*(k - 1)**4*(k + 1)
Suppose -w + 3 + 3 = 4*z, z = 3*w + 8. Let x = -379/48 - -2039/240. Solve x + 3/5*d**z - 6/5*d = 0 for d.
1
Let x(t) be the third derivative of 1/84*t**8 - 2/105*t**7 + 0 + 0*t**4 - 3*t**2 + 1/15*t**5 + 0*t**3 - 1/30*t**6 + 0*t. Find s, given that x(s) = 0.
-1, 0, 1
Let g(l) be the first derivative of -4*l**5/5 + 2*l**4 + 52*l**3/3 + 20*l**2 - 76. Solve g(d) = 0.
-2, -1, 0, 5
Solve 1/3*d**2 + 10*d + 75 = 0 for d.
-15
Let v = 213 - 211. Let l(c) be the first derivative of 1/4*c**v - 1/4*c - 1/12*c**3 + 5. Suppose l(t) = 0. Calculate t.
1
Let r(v) be the second derivative of 1/3*v**4 - 28*v - 6*v**2 + 0 + 4/3*v**3. Factor r(h).
4*(h - 1)*(h + 3)
Let -36*g**2 - 352/3*g + 68/3*g**3 + 4*g**4 - 4/3*g**5 - 64 = 0. What is g?
-3, -1, 4
Let p(f) = -f**4 + f**3 - f**2. Let z(i) = 6*i**4 - 10*i**3 - 10*i**2. Let u(n) = 2*p(n) - z(n). Factor u(h).
-4*h**2*(h - 2)*(2*h + 1)
Let a(t) be the first derivative of -t**3/7 + 6*t**2/7 - 9*t/7 - 103. Suppose a(b) = 0. What is b?
1, 3
Let s(j) be the first derivative of 0*j**3 + 5*j + 0*j**2 - 1/21*j**7 + 2/15*j**6 - 5 + 0*j**5 + 0*j**4. Let u(c) be the first derivative of s(c). Factor u(l).
-2*l**4*(l - 2)
Let y(r) = -4*r + 58. Let q be y(14). Let z(s) be the third derivative of 2/3*s**5 + 0 + 1/3*s**4 + 0*s**3 - 10*s**q + 3/20*s**6 + 0*s. Factor z(b).
2*b*(b + 2)*(9*b + 2)
Let u(r) = -r + 1. Let o(b) = -28*b + 33*b + 1 - 5*b**2 - 1. Let w(z) = -o(z) + 20*u(z). Factor w(m).
5*(m - 4)*(m - 1)
Suppose 2*h = 4*r - 2*r + 4, 4*h + 4*r = -8. Factor -1/3*n**2 - 2/3*n + h.
-n*(n + 2)/3
Let x(y) be the third derivative of -y**5/240 - 3*y**4/32 - 3*y**3/4 + 69*y**2. Factor x(o).
-(o + 3)*(o + 6)/4
Suppose f - 4*x = 20, 3*f + 3*x = -2*f - 15. Let k = 5133 - 5131. Factor 2/15*q**k + 2/15*q + f.
2*q*(q + 1)/15
Let -7/8*y**4 - 105*y - 571/8*y**2 - 57/4*y**3 - 49/2 = 0. Calculate y.
-7, -2, -2/7
Let c(a) be the third derivative of -a**5/390 + 3*a**4/52 - 8*a**3/39 + 532*a**2. Suppose c(b) = 0. What is b?
1, 8
Let o(j) be the second derivative of j**4/18 + 2*j**3/3 + 3*j**2 - 52*j. Let o(g) = 0. Calculate g.
-3
Suppose 9328/5*d**2 + 2724/5*d**4 - 8872/5*d**3 - 54*d**5 - 512/5*d - 256/5 = 0. What is d?
-2/15, 2/9, 2, 4
Let i(t) = -5*t**2 - 13*t - 2. Let f be i(4). Let l = f - -539/4. Factor l*v**2 + 0 - 3/2*v.
3*v*(v - 2)/4
Let a = 22549/67665 + 2/22555. Factor 7/3*t**2 + 13/3*t - 1/3*t**3 + 2 - a*t**4.
-(t - 3)*(t + 1)**2*(t + 2)/3
Factor 3*j + 3/4*j**2 - 3/4*j**4 + 0 - 3*j**3.
-3*j*(j - 1)*(j + 1)*(j + 4)/4
Let p(m) be the second derivative of -1/30*m**4 - 1/50*m**5 + 5*m + 1/30*m**3 + 1/10*m**2 + 1/150*m**6 + 1/210*m**7 + 0. Let p(v) = 0. Calculate v.
-1, 1
Let m be 6*130/105 - 8/(-14). Let l be (-8)/(m/(-2)) - 6/7. Factor 6/7*r + 2/7*r**3 + 0 - l*r**2.
2*r*(r - 3)*(r - 1)/7
Let g(b) be the second derivative of -b**5/5 + 41*b**4/4 + 53*b**3/2 + 16*b**2 - b - 51. Determine w so that g(w) = 0.
-1, -1/4, 32
Suppose -11*a = a - 96. Let h(f) be the third derivative of 0*f**3 + 0 - 1/140*f**7 + 1/672*f**a + 0*f + 0*f**4 + 1/80*f**6 + 3*f**2 - 1/120*f**5. Factor h(w).
w**2*(w - 1)**3/2
Let w = 118 - 116. Factor -8/3 + 2/3*u**w - 2*u.
2*(u - 4)*(u + 1)/3
Let s(g) be the third derivative of g**6/720 - g**5/120 - g**4/36 - 2*g**2 - 20*g. Find c such that s(c) = 0.
-1, 0, 4
What is m in 3/5*m**4 + 768/5*m + 99/5*m**3 + 0 + 864/5*m**2 = 0?
-16, -1, 0
Let o(r) be the third derivative of -r**5/140 - 5*r**4/56 + 3*r**3/7 + 7*r**2 + 3*r. Factor o(s).
-3*(s - 1)*(s + 6)/7
Let f(g) = -2*g**3 - g**2 + 1. Let i(m) = m**4 + 26*m**3 + 3*m**2 - 44*m - 34. Let n(y) = 6*f(y) + i(y). Factor n(p).
(p - 2)*(p + 1)**2*(p + 14)
Solve -3/4*s**3 + 3/4*s - 9/8*s**2 + 0 + 9/8*s**4 = 0 for s.
-1, 0, 2/3, 1
Suppose 4*d = -z + 19, -d = -2*d + 4*z + 9. Let g(a) be the second derivative of -1/4*a**3 + 3*a - 1/8*a**4 + 3/40*a**d + 0 + 3/4*a**2. Factor g(i).
3*(i - 1)**2*(i + 1)/2
Let j be ((-40)/(-30))/((-42)/(-54)). Factor j*u**3 - 10/7*u**4 + 8/7*u**2 - 16/7*u + 2/7*u**5 + 0.
2*u*(u - 2)**3*(u + 1)/7
Let x(d) be the second derivative of d**5/300 - d**4/30 + 31*