, 1
Let h be (-1 - -2 - -1) + 2. Let i = h + 0. Factor i*n - 2*n**3 - 3*n - 7*n - 2 - 6*n**2.
-2*(n + 1)**3
Let z be ((-4)/(-10))/((-14)/(-10)). Let m = z - 0. Determine t, given that 4/7*t + m*t**2 + 2/7 = 0.
-1
Let i = -4463/4 + 1088. Let f = 28 + i. Let -3/4*m**3 - 3/4*m**2 + 0 - 1/4*m**4 - f*m = 0. What is m?
-1, 0
Let t(c) = 6*c**5 + 5*c**4 + 8*c**3 + 9*c**2 + 7*c - 7. Let z(d) = d**5 + d**4 + d**3 + d**2 + d - 1. Let p(v) = -3*t(v) + 21*z(v). Factor p(l).
3*l**2*(l - 1)*(l + 1)*(l + 2)
Let h(w) be the second derivative of w**7/84 + w**6/30 - w**5/40 - w**4/12 - 6*w. Solve h(x) = 0 for x.
-2, -1, 0, 1
Let o(u) be the second derivative of 0*u**4 + 0 - 2/75*u**6 + 0*u**2 + 1/35*u**7 - u + 0*u**3 + 0*u**5. Let o(s) = 0. Calculate s.
0, 2/3
Factor -1/3*j**2 + 1/3 + 1/3*j**3 - 1/3*j.
(j - 1)**2*(j + 1)/3
Suppose 0 = -3*a + 1 + 5. Let x(k) be the second derivative of 1/9*k**a + 1/27*k**3 + 2*k - 1/54*k**4 + 0 - 1/90*k**5. Let x(g) = 0. Calculate g.
-1, 1
Let r(w) be the second derivative of -w**4/4 + 3*w**2/2 + 8*w. Factor r(v).
-3*(v - 1)*(v + 1)
Suppose 5*d = -0 + 85. Suppose 7*i - 21 = h + 2*i, -3*h - i + d = 0. Find j such that -1 - 1/2*j**h - 5/2*j**3 - 7/2*j - 9/2*j**2 = 0.
-2, -1
Let u(x) be the third derivative of -x**6/60 + x**5/42 + x**4/42 + x**2. Suppose u(n) = 0. What is n?
-2/7, 0, 1
Let g(y) = 5*y**5 - 13*y**4 - 11*y**3 + 7*y**2 - 7*y + 7. Let d(s) = 3*s**5 - 7*s**4 - 6*s**3 + 4*s**2 - 4*s + 4. Let m(w) = 7*d(w) - 4*g(w). Factor m(z).
z**3*(z + 1)*(z + 2)
Let r be (-149)/30 - (-1)/6. Let s = r + 5. What is d in 1/5 - s*d**3 + 1/5*d - 1/5*d**2 = 0?
-1, 1
Let a(w) = -w**2 - w - 1. Let i(v) = -v**3 + 5*v**2 - 8*v - 53. Let l(s) = -3*a(s) + i(s). Factor l(x).
-(x - 5)**2*(x + 2)
Suppose -6 = 3*z + 27. Let k(r) = -17*r**2 - 3*r - 3. Let c(s) = -9*s**2 - 2*s - 2. Let b(w) = z*c(w) + 6*k(w). Solve b(m) = 0.
-2/3, 2
Let d be (-22)/6 + 8/8. Let m = d - -3. Solve 0*w**2 + m*w**3 + 0 - 1/3*w = 0.
-1, 0, 1
Solve x + 3*x - x**2 - 2 + 2 = 0 for x.
0, 4
Let p be 2 - (-5)/((-15)/(-6)). Factor c**3 - 2*c**4 + c**5 - 2*c**4 + c**4 + c**p.
c**3*(c - 1)**2
Suppose -3*f - 5*b + 32 = -19, 4*b - 72 = -5*f. Let h be 18/f*4/3. Factor 4/5*j + 2/5 + 2/5*j**h.
2*(j + 1)**2/5
Let h = 37/42 - 5/7. Let z(k) be the first derivative of 0*k + h*k**4 - 2/15*k**5 + 4 - 1/3*k**2 + 2/9*k**3. Factor z(o).
-2*o*(o - 1)**2*(o + 1)/3
Suppose 3*s + 7*i = 4*i - 6, 2*s + 5*i - 2 = 0. Let p be ((-6)/(-5) - s) + -2. Factor -2/5 - p*m**2 - 7/5*m**3 - 11/5*m.
-(m + 1)**2*(7*m + 2)/5
Let y = -2 - -7. Solve -f**3 - 4*f**2 + 3*f**4 + 6*f - 2 - 2*f**y + 3*f**4 + 0*f**4 - 3*f**3 = 0 for f.
-1, 1
Let y(s) be the first derivative of s**4/4 + 5*s**3/3 + 5*s**2/2 + 8*s - 3. Let z be y(-4). Factor 0 - 3/4*m**2 + 1/4*m**z + 0*m**3 - 1/2*m.
m*(m - 2)*(m + 1)**2/4
Let r = -847/5 + 171. Factor r + 10*u**4 + 56/5*u + 138/5*u**2 + 28*u**3.
2*(u + 1)**2*(5*u + 2)**2/5
Let i(c) be the first derivative of -2/3*c**3 + 3 + 0*c + c**2. Factor i(q).
-2*q*(q - 1)
Let x = -1 + 5. Find i, given that -2*i**4 - 3*i**5 - x*i**5 + 2*i**3 + 0*i**5 + 2*i**2 + 5*i**3 = 0.
-1, -2/7, 0, 1
Let n = 6 - 3. Solve -l**2 + 8*l - n*l**4 - 8*l**3 - 2 + 4 + 2 = 0 for l.
-2, -1, -2/3, 1
Determine h so that 106*h**5 - 44*h**3 + 16*h**2 - 76*h**4 - 210*h**5 + 88*h**5 = 0.
-4, -1, 0, 1/4
Let w(c) = 4*c**4 - c**3 + c. Let a be (0 + -1)*-1*-7. Let k(g) = 13*g**4 - 4*g**3 + g**2 + 4*g. Let d(v) = a*w(v) + 2*k(v). Let d(h) = 0. What is h?
-1, -1/2, 0, 1
Let n(m) = 7*m**4 - 9*m**3 - 19*m**2 + 3*m - 3. Let l(s) = -15*s**4 + 17*s**3 + 39*s**2 - 7*s + 7. Let b(o) = 3*l(o) + 7*n(o). Factor b(r).
4*r**2*(r - 4)*(r + 1)
Let v(r) = -r**2 - 16*r. Let x be v(-16). Factor -2/7*n**2 + x*n + 2/7.
-2*(n - 1)*(n + 1)/7
Suppose 5*q - 23 = 2*s - s, 5*s + q - 15 = 0. Factor -14*i**2 + 7*i**3 - i**2 + i + 6*i**s + i.
i*(i - 1)*(7*i - 2)
Factor -2/3*c - 2*c**3 + 2/3 - 10/3*c**2.
-2*(c + 1)**2*(3*c - 1)/3
Let t = 400/1191 + -1/397. Factor 0*o + 0 + 4/3*o**2 + 0*o**3 - t*o**4.
-o**2*(o - 2)*(o + 2)/3
Let w = -18 - -11. Let o be 1 - (w - (-4 - -2)). Factor -o*v**3 + 2*v**3 - 2*v**4 + v**5 + v**5.
2*v**3*(v - 2)*(v + 1)
Let j(m) be the first derivative of m**6/3 + 2*m**5/5 - m**4/2 - 2*m**3/3 + 36. Factor j(t).
2*t**2*(t - 1)*(t + 1)**2
Let d(x) be the first derivative of 3*x**5/5 - 3*x**4/4 - x**3 + 3*x**2/2 - 7. Factor d(o).
3*o*(o - 1)**2*(o + 1)
Let t(z) = -24*z**3 + 44*z**2 - 26*z + 6. Let i(n) = 8*n**3 - 15*n**2 + 9*n - 2. Let k(g) = 20*i(g) + 6*t(g). Solve k(f) = 0.
1/4, 1
Let t = 203/520 + 1/104. Suppose 2*j = 4*u - 2 - 0, 5*u - 4*j + 5 = 0. Solve -4/5*p**2 + t*p**u + 0 + 2/5*p = 0.
0, 1
Solve -2*c**2 - 2*c**3 - 3*c**2 + 6*c**3 + 3*c**2 - 2*c**4 = 0.
0, 1
Factor 2/7*x**5 + 0 - 4/7*x**4 + 0*x**3 + 4/7*x**2 - 2/7*x.
2*x*(x - 1)**3*(x + 1)/7
Let a(j) = -j**2 + 8*j - 5. Let d be a(7). Factor -3*n**d - 8*n + 5*n**2 + 3*n**2 + 16 - 4*n**2.
(n - 4)**2
Let f(v) be the third derivative of -3*v**7/280 + v**6/120 + v**4/6 - v**2. Let o(p) be the second derivative of f(p). Factor o(q).
-3*q*(9*q - 2)
Let m(u) = 2*u**3 + u + 3. Let z = 13 + -8. Let w(r) = 3*r**3 + 2*r + 5. Let v(h) = z*m(h) - 3*w(h). Factor v(c).
c*(c - 1)*(c + 1)
Let c(b) = -b**3 + 2*b**2 + 3*b. Suppose 4*s - 2 = 4*a + 6, 4*a - 3*s = -13. Let l(p) = -2*p**3 + 3*p**2 + 5*p. Let i(v) = a*c(v) + 4*l(v). Factor i(k).
-k*(k + 1)**2
Suppose 0 = -m + d + 4 + 2, 2*m + 5*d + 9 = 0. Factor 0*h**3 - 4*h + 4*h**m - 2*h**3 + 2*h**3.
4*h*(h - 1)*(h + 1)
Let b(v) be the third derivative of -v**8/2016 + v**7/1260 + v**6/144 - v**5/72 - v**4/36 + v**3/9 + 40*v**2. What is k in b(k) = 0?
-2, -1, 1, 2
Suppose -r + 0*i + 9 = 5*i, -9 = r - 4*i. Let l = r + 3. Determine q so that -2/3*q**l + 0*q + 0 = 0.
0
Determine a, given that 2/9*a**3 - 2/9*a**5 - 4/9*a**2 + 0 + 4/9*a**4 + 0*a = 0.
-1, 0, 1, 2
Let b be 234/(-336)*(-2)/3. Let t = 5/7 - b. Find w, given that 0 + t*w - 1/4*w**2 = 0.
0, 1
Let b(g) be the third derivative of 2*g**2 + 0*g + 0*g**3 + 0 + 1/12*g**4 + 1/30*g**5. Factor b(o).
2*o*(o + 1)
Suppose 4*i - 12*i + 24 = 0. Let j(u) be the first derivative of -2 + 0*u + 1/4*u**4 + 0*u**2 - 1/5*u**5 + 0*u**i. Suppose j(l) = 0. Calculate l.
0, 1
Let m(p) be the first derivative of -1/12*p**4 - 3*p - 3 + 1/6*p**3 + p**2. Let b(k) be the first derivative of m(k). Suppose b(z) = 0. What is z?
-1, 2
Let r(p) = 45*p**3 + 180*p**2 + 225*p + 90. Let g(f) = 5*f**3 + 20*f**2 + 25*f + 10. Let d(n) = -35*g(n) + 4*r(n). Factor d(u).
5*(u + 1)**2*(u + 2)
Let s be 378/70 - (-4)/(-10). Solve 6*j**4 + 0*j**s + 32*j**3 - 5*j**3 - 12*j - 9*j**5 = 0.
-1, 0, 2/3, 2
Let y(i) be the first derivative of i**7/14 + i**6/10 - 3*i**5/20 - i**4/4 - 5*i + 5. Let w(u) be the first derivative of y(u). Suppose w(m) = 0. What is m?
-1, 0, 1
Let o(n) be the second derivative of 0 + 0*n**2 - 1/30*n**4 + 1/75*n**6 - 3*n + 0*n**5 + 0*n**3. Factor o(f).
2*f**2*(f - 1)*(f + 1)/5
Let s(x) = x - 10. Let g = 1 - -11. Let i be s(g). Factor -2*q**2 - 8 - 13*q**3 + 39*q**3 - 32*q + 8*q**2 + 10*q**4 - i*q**4.
2*(q - 1)*(q + 2)**2*(4*q + 1)
Let y be -7*((-4)/14 - 0). Suppose 0*f + f = y. Factor 1/6*k**3 + 0*k**f + 1/3 - 1/2*k.
(k - 1)**2*(k + 2)/6
Let h(q) be the first derivative of 2 + 1/2*q**2 - q**3 + 1/3*q + 5/12*q**4. Factor h(v).
(v - 1)**2*(5*v + 1)/3
Let y(z) = -z**2 + 11*z + 5. Let c be y(11). Solve -1 - r**3 + r + 4*r - 10*r**2 + 11*r**3 - c*r**4 + r**5 = 0 for r.
1
Let l(f) be the first derivative of -36*f**5/5 - 2*f**4 - 39. Find n such that l(n) = 0.
-2/9, 0
Let v = -346/39 - -124/13. Let y be 8/7*28/36. Factor 0 - 2/9*f + y*f**2 - v*f**3.
-2*f*(f - 1)*(3*f - 1)/9
Suppose -1 = 3*y - 13. Factor -7*r**5 + 5*r**5 + 3*r**5 + r**5 + 2*r**3 + 4*r**y.
2*r**3*(r + 1)**2
Let j(n) = 9 + 3*n**2 + 5*n**2 + 1 - 2*n**2 + 16*n. Let v(s) = s**2 + 3*s + 2. Let z(g) = -3*j(g) + 16*v(g). Find o such that z(o) = 0.
-1, 1
Let j(k) be the third derivative of k**8/840 - k**7/105 + 3*k**6/100 - 7*k**5/150 + k**4/30 - 23*k**2. Factor j(s).
2*s*(s - 2)*(s - 1)**3/5
Factor 0 - 3/2*y**2 + 3/4*y + 3/4*y**3.
3*y*(y - 1)**2/4
Suppose 2*x - 30*w - 8 = -26*w, -5*x = 4*w - 6. Factor 0*q - 1/7 + 1/7*q**x.
(q - 1)*(q + 1)/7
Let v = -104/21 - -562/105. Factor -54/5*y - v*y**3 + 18/5*y**2 + 54/5.
-2*(y - 3)**3/5
Let q(z) be the first derivative of z**9/1008 - z**7/140 + z**5/