**3 + h*z**2 = 0?
-1, -2/7, 0
Let s = 272/55 - 50/11. Find x, given that 0*x**2 + 2/5*x**3 - 1/5 + 1/5*x**4 - s*x = 0.
-1, 1
Let b(u) = u**3 - 7*u**2 + 8*u + 5. Let d be b(6). Let -1 + 1 - d*j + 3*j**2 + 18*j = 0. What is j?
-1/3, 0
Let d(o) be the second derivative of -8*o**2 + 4*o - 4*o**3 - o**4 + 0 - 1/10*o**5. Factor d(c).
-2*(c + 2)**3
Solve 3/4*k - 1 + 1/4*k**2 = 0.
-4, 1
Suppose 2*r + x - 7 = 0, 4*x + 20 = 4*r - 0*x. Let -8*h - 4*h**5 + 30*h**2 - 2*h**2 - 36*h**3 + 30*h**r - 10*h**4 = 0. What is h?
0, 1, 2
Let -128/9 + 2/9*d**3 - 8/3*d**2 + 32/3*d = 0. Calculate d.
4
Let d(t) = -18*t**5 - 20*t**4 + 5*t**3 + 9*t**2 + 2*t + 11. Let k(x) = x**5 + x**4 - 1. Let n(i) = 4*d(i) + 44*k(i). Determine v, given that n(v) = 0.
-1, -2/7, 0, 1
Let a(g) be the second derivative of 2*g**7/21 + 2*g**6/5 + 3*g**5/5 + g**4/3 - 11*g. Factor a(l).
4*l**2*(l + 1)**3
Let s(x) = -x**3 - 3*x**2 - 2*x - 2. Let a be s(-3). Let b(m) = 4*m**2 - 4*m + 4. Let c(u) = -5*u**2 + 4*u - 4. Let o(l) = a*b(l) + 3*c(l). Factor o(z).
(z - 2)**2
Suppose 0*p - p = -2*g - 1, 5*g - 17 = -4*p. Let b(s) be the third derivative of 0 - 1/12*s**4 + 0*s**p + 0*s - 1/30*s**5 + 2*s**2. Factor b(r).
-2*r*(r + 1)
Let l(b) = -27*b**4 - 12*b**3 - 21*b**2 + 12*b - 6. Let t = 6 + 12. Let m(w) = w**4 - w**3 + 1. Let j(y) = t*m(y) + l(y). Determine u so that j(u) = 0.
-2, -1, 2/3
Let w be (-63)/(-42)*(-3)/(9/(-8)). Let k(j) be the first derivative of 0*j + 1/6*j**2 + 0*j**w - 2 + 1/30*j**5 - 1/6*j**3. Let k(f) = 0. What is f?
-2, 0, 1
Let p(w) = -w**2 + 2*w + 1. Let i be p(-1). Let m be (-6)/(-3) + i + 3. Factor 2*n + 0*n**2 - 2*n - n**m - 2*n**2.
-n**2*(n + 2)
Let d(j) = -j**3 - 7*j**2 - 6*j + 2. Let c be d(-6). Factor -3/5*p**c - p + 9/5*p**3 - 1/5.
(p - 1)*(3*p + 1)**2/5
Factor -2/3*z**2 + 8/3*z - 8/3.
-2*(z - 2)**2/3
Let w(p) be the first derivative of -7*p**3/5 + 24*p**2/5 - 12*p/5 - 6. Solve w(k) = 0.
2/7, 2
Let j(k) be the second derivative of -k**6/120 - 3*k**5/80 + k**3/6 + 22*k. Factor j(w).
-w*(w - 1)*(w + 2)**2/4
Let n = -26 + 261/10. Let m(z) be the second derivative of -3*z - 1/20*z**4 + 3/5*z**2 + 0 - n*z**3. Suppose m(x) = 0. What is x?
-2, 1
Suppose 6*f + 15 = 3*f. Let v(x) = 6*x**2 - 2. Let o(r) = -7*r**2 - r + 3. Let b(d) = f*v(d) - 4*o(d). Let b(c) = 0. Calculate c.
1
Let q(k) be the third derivative of -k**8/3360 + k**7/1260 + k**6/180 + k**4/12 - 2*k**2. Let m(p) be the second derivative of q(p). Let m(f) = 0. What is f?
-1, 0, 2
Let l(o) be the third derivative of -o**8/147 + 4*o**7/245 + o**6/56 + o**5/210 - 7*o**2. Factor l(c).
-c**2*(c - 2)*(4*c + 1)**2/7
Let w(s) = -s**3 + 9*s**2 - 6*s - 9. Let m be w(8). Suppose 0 = m*z - 3*z - 24. Factor 5 + 3*a**4 - 5*a**2 - z*a**4 + 3*a**3 - 3*a + 7*a**4 - 4.
(a - 1)*(a + 1)**2*(4*a - 1)
Let t(y) be the second derivative of 0 + 0*y**2 - 1/42*y**4 - 6*y - 1/7*y**3. Find u such that t(u) = 0.
-3, 0
Let n(r) be the second derivative of -3*r**5/20 + r**4/4 + 4*r. Suppose n(l) = 0. Calculate l.
0, 1
Let q(l) be the second derivative of l**5/5 + l**4 - 2*l**3/3 - 6*l**2 + 14*l. Suppose q(g) = 0. Calculate g.
-3, -1, 1
Factor 2/11*d + 4/11 - 2/11*d**2.
-2*(d - 2)*(d + 1)/11
Let x(k) be the second derivative of k**5/5 - 3*k**4/4 + k**3 - k**2/2 + 21*k. Factor x(t).
(t - 1)**2*(4*t - 1)
Let a = 2 - 0. What is o in 2*o**3 + 14*o**4 - a*o**2 - 3*o**3 + 5*o**5 + 3*o**5 + 5*o**3 = 0?
-1, 0, 1/4
Let b(q) = -q + 5. Let a be b(3). Find t, given that 0*t**a - 1/4*t**5 - 1/4*t**3 + 0 - 1/2*t**4 + 0*t = 0.
-1, 0
Let u be ((-2)/3)/(2/(-6)). Suppose 5*l - 3*x + 2 = 0, l - u*x + 10 = x. Find r, given that 1/4 + 1/2*r + 1/4*r**l = 0.
-1
Let s be ((-3)/9)/(2/(-6)). Let q(j) = -3*j. Let x be q(-1). What is m in 4*m**2 + s - 1 + 5*m**x + 2*m**4 + m = 0?
-1, -1/2, 0
Factor 3*u**2 + u**3 - 16 + 2*u + 16.
u*(u + 1)*(u + 2)
Let k be 6*(-1)/4*-2. Let p(r) be the first derivative of -1/3*r**2 - 1/6*r**4 - 2 - 4/9*r**k + 0*r. Solve p(l) = 0.
-1, 0
Let a(b) be the first derivative of 28/3*b**3 + 4*b + 16*b**2 - 7. Factor a(x).
4*(x + 1)*(7*x + 1)
Suppose 37*w**3 - 9*w - 87*w**3 + 24*w**2 + 6*w**4 + 29*w**3 = 0. Calculate w.
0, 1, 3/2
Suppose 12 = 4*r - q, 2*q = -2*r + 4*q. Let f(k) be the first derivative of 3 - 13/8*k**r + 0*k + 0*k**2 + 1/3*k**3 + 21/10*k**5. Find m such that f(m) = 0.
0, 2/7, 1/3
Let d(z) be the first derivative of z**2 + z + 5/3*z**3 + 3/10*z**5 + 7/6*z**4 + 1. Let j(s) be the first derivative of d(s). Find q, given that j(q) = 0.
-1, -1/3
Let z be (1 + -2)*31/3. Let b = z + 223/21. Solve b*i**2 + 4/7*i + 2/7 = 0 for i.
-1
Let m(l) be the first derivative of l**5/100 - l**4/20 + l**3/15 - l + 3. Let w(v) be the first derivative of m(v). Factor w(k).
k*(k - 2)*(k - 1)/5
Let d(q) be the first derivative of q**5/15 - 11*q**4/12 + 5*q**3 - 27*q**2/2 + 18*q + 41. Factor d(f).
(f - 3)**3*(f - 2)/3
Let j(q) be the first derivative of 5/18*q**4 + 0*q + 2/15*q**5 - 1/9*q**2 - 2 + 2/27*q**3. Factor j(b).
2*b*(b + 1)**2*(3*b - 1)/9
Let t(n) = -n**2 + 11*n + 14. Let z be t(12). Let -7*d + 3*d + 4 - 4*d + 4*d**z = 0. Calculate d.
1
Determine u so that 8/3 - 2/3*u**2 - 8/3*u + 2/3*u**3 = 0.
-2, 1, 2
Let q(i) be the first derivative of i**5/5 - 11*i**4/4 + 35*i**3/3 - 25*i**2/2 + 8. Factor q(s).
s*(s - 5)**2*(s - 1)
Let t(w) be the first derivative of -w**4/16 + w**3/4 - w**2/4 + 1. What is m in t(m) = 0?
0, 1, 2
Let 62*j**3 + 12 + 285*j**4 + 291*j**2 - 75*j**5 + 22*j - 65*j - 479*j**3 - 53*j = 0. What is j?
2/5, 1
Suppose 0 + 6 = 3*o. What is c in -4*c**5 + 4*c**5 - 2*c**3 - c**5 - o*c**2 - 1 + 3*c**4 + 3*c + 0*c**4 = 0?
-1, 1
Let m = 6 + -4. Let j = 10/23 - -154/69. Find w such that 32/3*w - j - 14/3*w**m = 0.
2/7, 2
Let y be (-15)/3 - 110/(-20). Factor i**2 - y*i + 0*i**3 + 0 + 1/2*i**5 - i**4.
i*(i - 1)**3*(i + 1)/2
Let i(b) be the second derivative of -1/35*b**6 + 1/21*b**3 + 0 + 5/42*b**4 - 1/70*b**5 + 2*b - 2/7*b**2. Let i(w) = 0. Calculate w.
-1, 2/3, 1
Let c be (-1)/(-4) + (-55)/(-20). Let j(f) = c - 6 + f + 2. Let r(w) = -2*w**2 - 6*w + 6. Let d(x) = -6*j(x) - r(x). Find l such that d(l) = 0.
0
Let v(g) be the second derivative of -8*g**6/45 - 2*g**5 + 17*g**4/3 - 53*g**3/9 + 3*g**2 + 34*g. Solve v(m) = 0.
-9, 1/2
Suppose 5*p - 6 - 4 = 0. Let w = -1/426 + 1711/2982. Let -2/7*q**p + w + 2/7*q = 0. Calculate q.
-1, 2
Let g(n) be the first derivative of n**9/1008 + n**8/840 - n**7/210 - n**6/180 + n**5/120 - 4*n**3/3 + 3. Let m(o) be the third derivative of g(o). Factor m(l).
l*(l - 1)*(l + 1)**2*(3*l - 1)
Let t(q) be the third derivative of -q**6/30 + q**4/2 + 4*q**3/3 + 10*q**2. Factor t(h).
-4*(h - 2)*(h + 1)**2
Let f(a) = a**3 - 5*a**2 + 4*a + 3. Let x be f(4). Let g(p) = -p**3 + 4*p**2 - 3*p + 3. Let h be g(x). Suppose 9/2*c**2 - 3*c - 3/2*c**h + 0 = 0. Calculate c.
0, 1, 2
Let u(g) = g - 15. Let m be u(10). Let h = 5 + m. Factor h + 0*v - 1/4*v**2.
-v**2/4
Let x(r) be the second derivative of 0*r**3 + 2/25*r**5 + 1/25*r**6 + 0*r**2 + 1/30*r**4 + 0 - r. What is a in x(a) = 0?
-1, -1/3, 0
Factor 36/7 - 3/7*v**2 - 12/7*v.
-3*(v - 2)*(v + 6)/7
Let o(a) = -a**2 + 14*a - 8. Let q be o(9). Let c = q + -331/9. Determine s, given that 2/9*s**3 + 0*s**2 - c*s + 0 = 0.
-1, 0, 1
Let w = 18 + -24. Let p = w - -6. Suppose 1/5*v**3 + 0*v + 2/5*v**2 + p = 0. What is v?
-2, 0
Let y be (18/108 - 10/(-12))*1. Determine x so that 1/2*x**4 + 1/2*x**3 - 3/2*x**2 + y - 1/2*x = 0.
-2, -1, 1
Determine p, given that -4/7*p**2 + 0 + 0*p = 0.
0
Let p = -3/2 - -85/54. Let y(d) be the first derivative of -8/9*d - p*d**3 + 8/9*d**2 - 3 - 1/6*d**4. Factor y(b).
-2*(b - 1)*(b + 2)*(3*b - 2)/9
Suppose -4*v = -2*v - 4. Factor 4*t**4 - 5*t**3 - v*t**3 + t**3 + 2*t.
2*t*(t - 1)**2*(2*t + 1)
Factor 6*a**2 + 6*a - 3*a**4 - 2*a**3 + a + a**4 + 3*a + 4.
-2*(a - 2)*(a + 1)**3
Suppose -4*g + g = -12. Factor -6 - 3*q**2 + g*q + 7 + 2*q**3 + 8*q**2.
(q + 1)**2*(2*q + 1)
Let h = -34 - -34. Let z be -1 + 3*1 - 0. Let h*t**3 - 2/3*t**4 + 0 + 0*t + 2/3*t**z = 0. What is t?
-1, 0, 1
Let j be ((-270)/315)/((-4)/7). Factor -j*g + 3/2*g**3 + 0 + 0*g**2.
3*g*(g - 1)*(g + 1)/2
Let j(v) = -3*v**4 + 24*v**3 - 30*v**2 - 24*v + 21. Let n(i) = 3*i**4 - 23*i**3 + 29*i**2 + 23*i - 22. Let x(q) = -5*j(q) - 6*n(q). Factor x(k).
-3*(k - 3)**2*(k - 1)*(k + 1)
Let p(b) be the third derivative of -b**7/105 