. Suppose s = -b + 7 + 22. Find i, given that 4*i**2 - 48*i**4 + b*i**5 - 17*i**3 + 195*i**5 - i**3 = 0.
-2/7, 0, 1/4
Let -5*h**5 + 0*h**2 + 5*h**4 - 5*h**2 + 0*h**3 + 25*h**3 - 10*h**5 - 10*h = 0. Calculate h.
-1, -2/3, 0, 1
Let b(s) be the third derivative of s**7/350 - 7*s**6/600 + s**5/100 + s**4/40 - s**3/15 - 4*s**2. What is u in b(u) = 0?
-2/3, 1
Let h be (-27)/(-6)*6/9. Factor 4*c**5 + 0*c**2 + 6/7*c**4 + 0*c + 0 - 4/7*c**h.
2*c**3*(2*c + 1)*(7*c - 2)/7
Suppose -6*u + 40 = -u. Let i be u/(-10)*(-10)/4. Factor 3*z**3 + 0*z**i + 2*z**2 - z**3.
2*z**2*(z + 1)
Factor x**2 - 2*x**3 - 5*x**2 - x**3 + 10*x**2.
-3*x**2*(x - 2)
Let n(q) = -4*q**4 - 2*q**3 + 16*q - 4. Let i = 0 + 2. Let y(r) = -5*r**2 + 0*r**2 - r + 2*r**i + r**4 + 2*r**2. Let h(k) = n(k) + 6*y(k). Factor h(s).
2*(s - 1)**3*(s + 2)
Let o(t) be the second derivative of -7*t**4/4 + 8*t**3 - 6*t**2 - 2*t. Find w, given that o(w) = 0.
2/7, 2
Let n(b) be the second derivative of b**6/105 - b**5/70 + 26*b. Factor n(s).
2*s**3*(s - 1)/7
Let w = -28 + 35. Let k(v) be the third derivative of 0 - 1/15*v**w + 0*v**3 + 1/6*v**4 + 7/30*v**5 + v**2 + 0*v - 1/30*v**6. Find f, given that k(f) = 0.
-1, -2/7, 0, 1
Let v(u) be the first derivative of 1/54*u**4 - 2/9*u**2 - 1/27*u**3 + 3 + u. Let r(g) be the first derivative of v(g). Let r(k) = 0. Calculate k.
-1, 2
Suppose 137*s**2 - 22*s - 134*s**2 - 5*s - 30 = 0. Calculate s.
-1, 10
Let v(f) = f**2 + 8*f - 17. Let u be v(-10). Let s(w) = -w**2 + 4*w - 2. Let l be s(2). Let -4*p**u - 1 - 2*p - p**2 - 5*p**2 - p**4 - l*p = 0. What is p?
-1
Let y(s) = -s**3 + 3*s**2 - 3*s + 2. Suppose -3*j - j = -4*o - 12, -4*o + 3 = -j. Let p be y(o). Factor 0 + p*x**2 + 2/5*x + 2/5*x**5 - 4/5*x**3 + 0*x**4.
2*x*(x - 1)**2*(x + 1)**2/5
Suppose -f = 2*b - 6, 14 = 5*b + 3*f - 2. Suppose -4*w = -0*w - 4*t + 4, b*t + 4 = 4*w. Factor -3/5*k - 3/5*k**4 - 9/5*k**2 - 9/5*k**w + 0.
-3*k*(k + 1)**3/5
Let w(p) be the third derivative of -p**7/1260 - p**4/4 + p**2. Let j(d) be the second derivative of w(d). Solve j(s) = 0.
0
Let g be (8/2)/1 - 4. Let g + 1/4*a**2 - 1/4*a + 1/4*a**3 - 1/4*a**4 = 0. What is a?
-1, 0, 1
Let a(k) be the third derivative of k**5/20 + 3*k**4/8 - 9*k**2. Factor a(m).
3*m*(m + 3)
Factor 6*z + 3*z**3 + 6*z**2 + 2 - 4*z**3 + 0*z + 3*z**3.
2*(z + 1)**3
Let l = 6 + -4. Let c = -57 - -60. Factor 1/2*a**l - 1/2*a**c + 0*a + 0.
-a**2*(a - 1)/2
Factor -6*i + 3*i**2 + 0*i**2 + 3*i.
3*i*(i - 1)
Let z(d) be the first derivative of d**6/165 - d**4/66 + 4*d + 1. Let u(s) be the first derivative of z(s). Factor u(v).
2*v**2*(v - 1)*(v + 1)/11
Let n(p) be the first derivative of 2*p**3/39 + 4*p**2/13 - 10*p/13 + 13. Factor n(z).
2*(z - 1)*(z + 5)/13
Suppose -3*y + 235 = 4*h, -h = 2*y - 145 - 10. Let g be (-33)/y + 66/56. What is k in -1/4*k**2 - g*k - 1/2 = 0?
-2, -1
Let k = 646 - 3191/5. Let n = k + -7. Solve 0 - n*v + 2/5*v**2 = 0.
0, 2
Let p = -28 + 18. Let l be ((-12)/p)/((-6)/(-15)). Factor 3*r**4 + 4*r**3 - 8*r**l + 1 + r**2 - 1.
r**2*(r - 1)*(3*r - 1)
Let l = 37 - 101/3. What is m in 2/3*m**4 + 0 + 8/3*m**3 + l*m**2 + 4/3*m = 0?
-2, -1, 0
Let h = -28 - -44. Let c = h + -11. Find d such that 0 + 11/2*d**3 - d + c*d**4 - 1/2*d**2 = 0.
-1, -1/2, 0, 2/5
Let v = -34 + 34. Let x(s) be the second derivative of 1/6*s**3 + 1/40*s**5 - 1/8*s**4 - s + 0 + v*s**2. Factor x(o).
o*(o - 2)*(o - 1)/2
Let k(q) be the second derivative of q**7/147 - q**6/105 + 4*q. Factor k(s).
2*s**4*(s - 1)/7
Let k be 6/(-4 - (-9)/2). Let -7*m + 6*m**2 + 9*m - 10*m**3 - 6*m**4 + k*m**5 - 4*m**5 = 0. What is m?
-1, -1/4, 0, 1
Let i(g) = 5*g**2 - 10*g - 6. Let s(n) = 5*n**2 - 9*n - 6. Let q(h) = 2*i(h) - 3*s(h). Find k, given that q(k) = 0.
-3/5, 2
Let w(i) = -i. Let s be w(-2). Let 0*g**2 - 4 - 4*g**2 - 8*g + 0*g**s = 0. Calculate g.
-1
Solve -1/2*d**2 - 9/2*d - 1 + 3/2*d**4 - 2*d**5 + 13/2*d**3 = 0.
-1, -1/4, 1, 2
Let u(m) be the second derivative of m**4/78 + 4*m**3/13 + 11*m**2/13 + m - 6. Factor u(o).
2*(o + 1)*(o + 11)/13
Let f(p) = 2*p - 7. Let o(w) = 5*w + 1. Let m be o(1). Let v be f(m). Factor -v*x**2 + 6*x**2 + 0*x**2 - x.
x*(x - 1)
Let -o**2 + 0 + 1/2*o + 1/2*o**3 = 0. What is o?
0, 1
Let q = -241/3 + 81. Let y(v) be the second derivative of -7/9*v**3 + 0 + 2/9*v**4 - 3*v + 2/15*v**5 + q*v**2. Factor y(f).
2*(f + 2)*(2*f - 1)**2/3
Suppose 2*p = -2*k, 3*k - 18 = -p + 4*p. Let g be 0 + 0/p + 14. Factor h - 4*h + 4*h**3 + 3*h + g*h**4.
2*h**3*(7*h + 2)
Determine b so that b**3 - 5/2*b**5 + 0 - 3/2*b**4 + 0*b + 0*b**2 = 0.
-1, 0, 2/5
Factor 0*m**2 - 2*m**2 - 8*m - 3*m**2 - 4 + m**2.
-4*(m + 1)**2
Let q(x) = -2*x. Let i be q(-1). Let r be 12/(-6) - (-4)/i. Find j, given that r + 2/9*j - 2/9*j**3 + 0*j**2 = 0.
-1, 0, 1
Let t(b) = -2*b**3 + 2. Let o(n) = -n**4 + n**2 + n - 1. Let s(f) = 2*o(f) + t(f). Determine i so that s(i) = 0.
-1, 0, 1
Let y be (-7)/(-14) + (-1)/4. Factor -y*h**3 + 0 + 0*h + 0*h**2.
-h**3/4
Let t(x) be the second derivative of 4*x**6/45 + x**5/3 + 4*x**4/9 + 2*x**3/9 - 10*x. Determine u, given that t(u) = 0.
-1, -1/2, 0
Suppose -1 = 3*k + 8, 0 = 4*h - 3*k - 29. Factor -9/4*b + 9/4*b**4 - 3/4 + 3/2*b**3 - 3/2*b**2 + 3/4*b**h.
3*(b - 1)*(b + 1)**4/4
Let v(w) = -w**3 - 6*w**2 - w - 2. Let q be v(-6). Factor -a**q + 5*a**4 + a**3 - 2*a**4 + 5*a**3 - 8*a.
2*a*(a - 1)*(a + 2)**2
Let j(g) = -10*g - 2. Let u(k) = -k. Let x(o) = -j(o) + 12*u(o). Let h = -1 + -8. Let d(a) = -a**2 - 9*a + 9. Let t(l) = h*x(l) + 2*d(l). Factor t(v).
-2*v**2
Let v(f) be the second derivative of -f**4/6 - f**3/3 + 12*f. Factor v(l).
-2*l*(l + 1)
Let q(t) be the third derivative of -t**5/20 + t**3/2 + 4*t**2. Solve q(i) = 0.
-1, 1
Let k be (-2)/(-10) + 162/15. Let m = k + -7. Factor -2*n**m + 0*n**4 + 2 - 4*n + 4*n**3 + 0.
-2*(n - 1)**3*(n + 1)
Let y = 10 + -8. Factor -j**y + 1 + 0*j + j**4 + 4*j + 6*j**2 + j**2 + 4*j**3.
(j + 1)**4
Suppose -3*k = x, k = x + 4*x. Suppose 0*l - l + 2 = k. Factor 4*f + 2*f**2 - 3*f - f**l.
f*(f + 1)
Let z = -253/15 - -53/3. Factor -z*a**2 + 2/5 + 0*a + 0*a**3 + 2/5*a**4.
2*(a - 1)**2*(a + 1)**2/5
Let l(i) be the third derivative of -i**8/1008 + i**7/210 - i**6/180 + 18*i**2. Factor l(p).
-p**3*(p - 2)*(p - 1)/3
Factor 6/5*w - 2/5*w**2 - 4/5.
-2*(w - 2)*(w - 1)/5
Suppose 5*l = -3 + 33. Factor 6 - l + 2*y + 4*y**3 - 6*y**3.
-2*y*(y - 1)*(y + 1)
Let t be (-20)/(-15) + 4/6. Factor -2*f**3 + 2*f**5 - 9*f**2 + 3*f**4 - f**4 + 7*f**t.
2*f**2*(f - 1)*(f + 1)**2
Let j(t) = -55*t**2 + 72*t + 37. Let h(n) = -27*n**2 + 36*n + 18. Let z = 17 + -11. Let q(m) = z*j(m) - 13*h(m). Factor q(s).
3*(s - 2)*(7*s + 2)
Let m = 19 - 16. What is h in 2/5 - h + 2/5*h**m + 1/5*h**2 = 0?
-2, 1/2, 1
Suppose 12*a**2 - 12*a**2 - 10*a**4 + 5*a**5 + 5*a**3 = 0. Calculate a.
0, 1
Let c(a) be the first derivative of 11*a**3 - 27*a**2/2 - 6*a - 1. Determine b, given that c(b) = 0.
-2/11, 1
Let o(l) = -l**2 - l. Let g(a) = 14*a**5 - 10*a**4 - 4*a**3 - 10*a**2 - 10*a. Let u(r) = -2*g(r) + 20*o(r). Determine d, given that u(d) = 0.
-2/7, 0, 1
Let o(m) = m**5 - 7*m**4 + 8*m**3 + 4*m**2 - 9*m + 5. Let d(s) = -3*s**5 + 27*s**4 - 33*s**3 - 15*s**2 + 36*s - 21. Let c(j) = -2*d(j) - 9*o(j). Factor c(g).
-3*(g - 1)**4*(g + 1)
Let s(t) be the second derivative of -t**5/10 + t**4/2 - 2*t**3/3 + 2*t - 15. What is x in s(x) = 0?
0, 1, 2
Let c(f) be the first derivative of 4*f**3/3 + 8*f**2 + 12*f - 4. Factor c(g).
4*(g + 1)*(g + 3)
Suppose -5*x + 15 = -0. Factor -x*y + 5*y - 4*y - y**2.
-y*(y + 2)
Let f = 154 - -615. Let o = f - 9985/13. Solve 0*h + 2/13 - 16/13*h**3 - o*h**2 - 6/13*h**4 = 0 for h.
-1, 1/3
Let f(w) be the second derivative of -w - 1/36*w**4 + 0*w**2 - 1/18*w**3 + 0. Let f(g) = 0. Calculate g.
-1, 0
Let o be 1 + 1 + 1 - 3. Factor 0 - 1/2*r**4 + 0*r**2 + o*r + 1/2*r**3.
-r**3*(r - 1)/2
Suppose -4*q + v - 2 = -7, 4*q + 4*v = 20. Let x be 6/q*(5 + -4). Factor -m**3 - 4*m**3 + 4*m**2 - 2*m + 3*m**x.
-2*m*(m - 1)**2
Suppose -4*z = -2*x - 0 + 6, 0 = 5*z. Let j be 10/120*8/x. Find u such that 2/9*u**3 + 0 - j*u**4 - 2/9*u + 2/9*u**2 = 0.
-1, 0, 1
Determine z so that -4/9*z**2 + 2/9*z**3 + 4/9 - 2/9*z = 0.
-1, 1, 2
Factor -20*a**4 + 2*a**5 - 2*a + 2*a - 10*a**5 - 8*a**3.
-4*a**3*(a + 2)*(2*a + 1)
Let a(n) be the third derivative of n**7/525 - n**6/75 + n**5/25 - n**4/15 + n**3/15 + 19*n**2. Factor a(k).