 20, -o - 30 = -4*r + o. Suppose -y**3 - 2*y**2 + y**r + 2*y**3 - 4*y**5 + 4*y**4 = 0. Calculate y.
-2/3, 0, 1
Let f(m) be the third derivative of m**6/60 - m**5/10 + m**4/4 - m**3/3 - 3*m**2. Factor f(j).
2*(j - 1)**3
Suppose -5*h + 14 = -1. Determine m, given that 9*m**2 - 4*m - 11*m**2 + 2 + 5*m**h - m**3 = 0.
-1, 1/2, 1
Let x = 7/15 - 19/105. Solve 0 + 2/7*a**3 - x*a**2 + 0*a = 0.
0, 1
Let z = 22 + -109/5. Let q(l) be the first derivative of 2/5*l**3 - 1 + 0*l + z*l**2. Factor q(i).
2*i*(3*i + 1)/5
Let z(k) be the second derivative of 0 + 1/12*k**4 + 0*k**2 + k + 1/3*k**3. Factor z(j).
j*(j + 2)
Let h(t) be the first derivative of t**6/24 + t**5/5 - t**4/8 - t**3 + 9*t**2/8 + 2. Solve h(u) = 0 for u.
-3, 0, 1
Let d = 7041/10 + -1195/2. Let g = 107 - d. Solve 0*q**4 + 0 + g*q + 2/5*q**5 + 0*q**2 - 4/5*q**3 = 0 for q.
-1, 0, 1
Factor 0 + 2/3*h + 5/6*h**3 - 4/3*h**2 - 1/6*h**4.
-h*(h - 2)**2*(h - 1)/6
Suppose 5*c - 4*s = s - 5, 2 = 4*c - 2*s. Solve 3*i**2 - 3*i**c + i**2 + 2*i - i**3 = 0.
-1, 0, 2
Let t = 51 - 49. Determine x, given that 0 + 0*x - 3/2*x**t = 0.
0
Suppose -4*l + 32 = -80. Let j(f) = -f**3 - 25*f**2 - 63*f - 39. Let i(b) = -8*b**3 - 224*b**2 - 568*b - 352. Let z(d) = l*j(d) - 3*i(d). Factor z(w).
-4*(w + 1)*(w + 3)**2
Find a such that 30*a**2 - a**3 - 304*a + 83*a - 79*a + 1000 = 0.
10
Let q(j) be the third derivative of 0*j**3 + 0*j - 1/150*j**5 + 0 - 1/60*j**4 + 2*j**2. Factor q(g).
-2*g*(g + 1)/5
Let j be 7 + (2/2 - -1). Let c be 3/(j/5) - 0. Factor f**2 + c*f - 2/3.
(f + 2)*(3*f - 1)/3
Let w(x) = 9*x**5 - 16*x**4 - x**3 + 16*x**2 - 8*x. Let t(s) = -s**5 + s**4 + s**3 - 1. Let i = -9 - -6. Let h(g) = i*t(g) + 3*w(g). Let h(d) = 0. What is d?
-1, 1/5, 1/2, 1
Factor 3/2*b + 1/2*b**3 - 2*b**2 + 0.
b*(b - 3)*(b - 1)/2
Let j be -3*2/(-3) + 1. Let r(k) = -k**2 - 9*k - 4. Let w be r(-8). Factor 4 + 3*o + 3*o**2 + o**j - w + 1.
(o + 1)**3
Let m(b) be the first derivative of 2 + 0*b - 1/13*b**2 + 2/39*b**3. Determine p so that m(p) = 0.
0, 1
Suppose 5*v**2 - 1/2*v**5 + 1/2 + 5/2*v**4 - 5*v**3 - 5/2*v = 0. What is v?
1
Let s(b) be the second derivative of -b**6/60 - 3*b**5/40 - b**4/8 - b**3/12 - 19*b. Find c such that s(c) = 0.
-1, 0
Let a(o) be the third derivative of 7*o**2 + 2/735*o**7 + 0 + 0*o**3 + 0*o**4 + 1/105*o**5 + 1/105*o**6 + 0*o. Factor a(p).
4*p**2*(p + 1)**2/7
Solve 12 - 3*v**2 + 3/2*v**3 - 6*v = 0 for v.
-2, 2
Let w be (-1)/(-4) - 390/(-104). Let 0 + 1/7*z**w - 1/7*z**3 + 1/7*z**5 - 1/7*z**2 + 0*z = 0. What is z?
-1, 0, 1
Let x(p) be the first derivative of 3 - 1/9*p**3 + 1/3*p + 0*p**2. Determine z, given that x(z) = 0.
-1, 1
Let n(m) = 45*m**4 - 125*m**3 - 35*m - 35. Let c(w) = 5*w**4 - 14*w**3 - 4*w - 4. Let v(r) = 35*c(r) - 4*n(r). Solve v(t) = 0 for t.
0, 2
Let y = 68 + -104. Let l be 4/(-18) + (-116)/y. Factor 2*k**4 + k**3 + k**2 - l*k**3 - k**3.
k**2*(k - 1)*(2*k - 1)
Let i = 13 + -11. Let g(r) be the first derivative of i*r - 2/3*r**3 + 0*r**2 - 1. Factor g(v).
-2*(v - 1)*(v + 1)
Let h be 12/(-21)*7/(-14). Solve h*u**2 + 12/7*u + 18/7 = 0 for u.
-3
Let s(z) be the first derivative of -z**6/36 + z**5/30 + z**4/24 - z**3/18 - 14. Suppose s(t) = 0. Calculate t.
-1, 0, 1
Let n(w) be the second derivative of 13*w**5/20 - w**4/6 + w**3 + 2*w. Let z(u) = -u**3 - u. Let t(h) = -n(h) - 6*z(h). Factor t(y).
-y**2*(7*y - 2)
Let j = 34/195 - -1/39. Factor -4/5*x - j*x**2 - 4/5.
-(x + 2)**2/5
Let t(l) be the first derivative of 0*l**4 - 2/25*l**5 + 0*l - 3 + 0*l**3 + 0*l**2 + 1/15*l**6. Find p such that t(p) = 0.
0, 1
What is s in 0*s**3 + 1/10*s - 1/5*s**2 + 1/5*s**4 + 0 - 1/10*s**5 = 0?
-1, 0, 1
Let x(b) be the third derivative of 2*b**7/175 + b**6/200 - b**5/25 - b**4/40 + 14*b**2. Determine l, given that x(l) = 0.
-1, -1/4, 0, 1
Let y(s) be the second derivative of s**6/480 + s**5/120 + s**4/96 - s**2 + 3*s. Let v(h) be the first derivative of y(h). What is m in v(m) = 0?
-1, 0
Let c be 2/(-6) - 13/(-3). Suppose -5*z + 3*g - g - 6 = 0, -3*z - c*g = -12. Factor x**3 + 2*x**2 + 5*x + 2 + 2*x**2 + z*x**2.
(x + 1)**2*(x + 2)
Let i(c) be the third derivative of c**8/4032 + c**7/720 + c**6/360 + c**5/15 + 4*c**2. Let m(d) be the third derivative of i(d). Solve m(j) = 0 for j.
-1, -2/5
Suppose 4*d - 10 = -d. Factor 2*c**2 + 0*c**2 + c**3 - 3*c**2 - c + 0*c**d + 1.
(c - 1)**2*(c + 1)
Let x = -38071/1608 + 5/536. Let m = x + 24. Find a such that 1/3 - m*a**3 - a + a**2 = 0.
1
Let c(q) be the first derivative of -9*q**4 + 4*q**3 + 16*q**2 - 16*q - 14. Factor c(h).
-4*(h + 1)*(3*h - 2)**2
Let b = 19/66 + 6/11. Let p(z) be the first derivative of 1/4*z**5 - 2 + 1/4*z + b*z**3 - 5/8*z**2 - 1/24*z**6 - 5/8*z**4. Factor p(t).
-(t - 1)**5/4
Let q(g) be the second derivative of -5*g**7/42 + g**6/6 + 3*g**5/4 - 5*g**4/12 - 5*g**3/3 - 26*g. Solve q(f) = 0.
-1, 0, 1, 2
Let y(d) = -4*d**5 + 5*d**3 - d. Let g(h) = -5*h**5 + 6*h**3 - h. Let m(f) = 3*g(f) - 4*y(f). Factor m(i).
i*(i - 1)**2*(i + 1)**2
Let n(k) = -3*k**2 - 18*k - 22. Let f(q) = -15*q**2 - 90*q - 111. Let r(y) = 5*f(y) - 24*n(y). Find a, given that r(a) = 0.
-3
Let d(z) be the second derivative of z**4/6 + 4*z**3/3 - 5*z**2 + 4*z. What is q in d(q) = 0?
-5, 1
Factor -2/11*t**3 + 0 + 0*t + 0*t**2.
-2*t**3/11
Let b be 1 - ((-8)/3)/(-4). Let d(c) be the first derivative of 1/2*c**2 + 0*c - 2 - 1/5*c**5 - 1/4*c**4 + b*c**3. Factor d(t).
-t*(t - 1)*(t + 1)**2
Let t be (-4)/(-6 - (-6 + 2)). Factor -8 + 41 - 32*j + 4*j**t + 31.
4*(j - 4)**2
Let z = 3/374 + 4467/2618. Find v such that 15/7*v**3 - 3/7*v - 9/7*v**2 + 0 - z*v**5 + 9/7*v**4 = 0.
-1, -1/4, 0, 1
Let j(v) be the third derivative of -v**8/16800 - v**7/2100 - v**6/600 - v**5/300 + v**4/8 - 3*v**2. Let b(r) be the second derivative of j(r). Factor b(l).
-2*(l + 1)**3/5
Let l(p) be the first derivative of 3/2*p**2 + 6*p - p**3 + 1. Factor l(o).
-3*(o - 2)*(o + 1)
Let u(m) = m**4 - m**3 + 33*m**2 - 31*m + 25. Let z(i) = 8*i**2 - 8*i + 6. Let o(s) = 2*u(s) - 9*z(s). Factor o(b).
2*(b - 1)**3*(b + 2)
Let w be (-212)/(-8) - 1/2. Factor w*c**4 + 16*c**2 + 39*c + 11*c**2 - 120*c**3 + 22*c**4 + 6.
3*(c - 2)*(c - 1)*(4*c + 1)**2
Suppose 4 - 10 = -2*t + 3*p, 0 = 5*t - p - 15. Suppose -12 = -2*q - t*f - 5, 5*q = 4*f + 6. Factor m**3 + 2*m**q + m**4 + 2*m**3 + m**2 + m.
m*(m + 1)**3
Let w be 42/35*1/9. Let v(g) be the third derivative of w*g**5 + 1/6*g**4 + 0*g**3 - 1/6*g**7 + 0 + 0*g - 31/120*g**6 - 2*g**2. Factor v(b).
-b*(b + 1)*(5*b - 2)*(7*b + 2)
Let u(o) = -2*o + 1. Let a(y) = y**2 + 3*y + 1. Let h be a(-2). Let s be u(h). Suppose -6*q - 2 + 2*q + q**2 - s*q**2 = 0. What is q?
-1
Let u(k) be the second derivative of -81*k**6/10 + 837*k**5/20 + 53*k**4 - 66*k**3 + 24*k**2 - 51*k. Find f such that u(f) = 0.
-1, 2/9, 4
Determine i so that -2/5 - 6/5*i - 4/5*i**2 = 0.
-1, -1/2
Determine x, given that 8*x**2 - 6*x**3 - 5*x**4 + 7*x + x**4 + 2*x**5 + x = 0.
-1, 0, 2
Let g(q) = q**2 - 1. Let m(d) be the third derivative of d**5/10 + d**4/3 + d**3/3 + 7*d**2. Let t(r) = 4*g(r) - m(r). Factor t(h).
-2*(h + 1)*(h + 3)
Let -25*w - 12*w**4 - w**5 - 326*w**3 + 604*w**3 - 60*w**2 - 324*w**3 = 0. What is w?
-5, -1, 0
Let f(j) = j**5 - j**2 + j. Let v(o) = 57*o**5 + 219*o**4 + 243*o**3 + 99*o**2 + 9*o. Let g(x) = -3*f(x) - v(x). Let g(k) = 0. What is k?
-2, -1, -2/5, -1/4, 0
Let f = 20 - 11. Suppose 3 - f = -h + 3*x, 0 = -h - 5*x - 10. Suppose -1 + 2*d + h*d + 0*d - d**2 = 0. What is d?
1
Suppose -5*f - 15 = -2*f, -f + 15 = 5*l. Let q(s) be the second derivative of 1/35*s**5 + 1/105*s**6 + 1/42*s**l + 0*s**3 + 0*s**2 + 0 + s. Solve q(b) = 0.
-1, 0
Let y(c) = c + 9. Let v be y(-9). Factor 17*f**2 - 3*f**3 + v*f**3 - 23*f**2.
-3*f**2*(f + 2)
Let t(p) be the third derivative of p**8/672 - p**7/140 + p**6/120 - 35*p**2. Factor t(m).
m**3*(m - 2)*(m - 1)/2
Let r = 10 + -8. Factor g + 0*g**2 + 6*g**2 + 0*g - 5*g**r.
g*(g + 1)
Let y = -5 + 22. Let d = y + -33/2. Suppose -3/4*q**4 - d*q + q**2 - 1/4 + 1/2*q**3 = 0. What is q?
-1, -1/3, 1
Let s be (-10 + 20)/((-2)/(-2)). Suppose -5*h = -0*r + 2*r - 4, -5*r - 4*h = -s. Let 6/7*o - 3/7 - 6/7*o**3 + 3/7*o**r = 0. Calculate o.
-1, 1/2, 1
Let j = 28 + -20. Let a = 29 + -24. What is z in 9*z**2 + a*z + 1 - 6*z + j*z - 3 = 0?
-1, 2/9
Let a(p) be the first derivative of -p**6/8 + 3*p**5/20 + 3*p**4/16 - p**3/4 