(x) = -16*x**2 - 9*x - 31. Let f(l) = -11*s(l) + 2*y(l). Factor f(t).
(t + 2)**2
Suppose 2*f - 12 = 5*c, -3*f - 4*c + 2*c = 20. Let y be 1*(7 + -3 + f). Determine b, given that y*b + 0 + 8/3*b**4 - 2/3*b**2 - 2*b**3 = 0.
-1/4, 0, 1
Let t be (9/42)/(124/16 + -7). Let 4/7 + 6/7*k + t*k**2 = 0. Calculate k.
-2, -1
Determine f so that 0 - 2/15*f - 2/15*f**2 = 0.
-1, 0
Let a = 3080/3 + -1025. Find x such that 7/3*x**3 - 4/3*x + 0 + 8/3*x**2 - a*x**4 = 0.
-1, 0, 2/5, 2
Suppose -5*o + 20 = -o. Let d be 2/o + (-8)/(-5). Factor 5*p**3 + 3*p**d - 3*p**3 + p**4 - 2*p**2.
p**2*(p + 1)**2
Let y(b) be the first derivative of -4 + 0*b**3 + 0*b + 0*b**4 + 1/3*b**6 - 2/5*b**5 + 0*b**2. Factor y(v).
2*v**4*(v - 1)
Let z(a) be the second derivative of 0*a**2 + 0*a**3 + 1/90*a**5 - 1/54*a**4 - 2*a + 0. Let z(m) = 0. What is m?
0, 1
Let g(j) be the first derivative of -1/14*j**4 - 2 + 0*j**2 + 0*j + 2/35*j**5 + 0*j**3. Let g(q) = 0. What is q?
0, 1
Let u = 2/39 - -503/78. Let d(a) be the first derivative of 3 + u*a**4 - 28/3*a**6 + 0*a**2 + 4/3*a**3 + 0*a + 26/5*a**5. Let d(y) = 0. What is y?
-2/7, -1/4, 0, 1
Let f(z) = -6*z**3 - 6*z**2 - 2*z + 2. Let b(j) = -j**4 + 12*j**3 + 12*j**2 + 4*j - 5. Let u be (-1)/(-4) - (-95)/20. Let l(d) = u*f(d) + 2*b(d). Factor l(i).
-2*i*(i + 1)**3
Let b = 10891/30 - 363. Let w(t) be the second derivative of -b*t**6 + 0 + 2*t + 1/6*t**3 - 1/8*t**5 + 1/8*t**2 + 1/48*t**4 + 1/21*t**7. Solve w(p) = 0.
-1/2, 1
Let q(r) be the third derivative of -r**7/840 - r**6/160 - r**5/80 - r**4/96 + 10*r**2. Factor q(y).
-y*(y + 1)**3/4
Let h(f) be the second derivative of 1/30*f**5 - 1/90*f**6 + 1/18*f**4 + 0 - 1/18*f**3 - 1/6*f**2 - 1/126*f**7 + f. Factor h(q).
-(q - 1)**2*(q + 1)**3/3
Let j(p) be the third derivative of -p**8/168 - p**7/105 + p**6/60 + p**5/30 - 9*p**2. Let j(a) = 0. Calculate a.
-1, 0, 1
Let h be (8/(-12))/((-1)/6). Find p, given that -5*p**2 - 3*p + h + 3 - 5 = 0.
-1, 2/5
Determine j, given that 2*j**3 - 10*j + 0*j**3 - 4*j**2 + 2*j + 2*j**3 = 0.
-1, 0, 2
Let w(g) be the second derivative of -g**4/24 + g**3/6 - g. Factor w(y).
-y*(y - 2)/2
Factor -3/4*j**3 - j**2 + 0 - 1/4*j.
-j*(j + 1)*(3*j + 1)/4
Let u(j) be the second derivative of -j**4/24 - j**3/2 - 4*j + 5. Find i such that u(i) = 0.
-6, 0
Factor 0 - 3/2*s + 1/2*s**2.
s*(s - 3)/2
Let n = 1072/3345 + -12/223. Let c(t) be the second derivative of 0*t**2 - n*t**5 - 2*t - 1/18*t**3 + 2/9*t**4 + 0. Factor c(l).
-l*(4*l - 1)**2/3
Let b(a) = a**2 + 14*a + 4. Let z be b(-14). Find x such that 3*x**2 - 21 - 6*x - 3*x**5 + 9*x**3 + 21 - 3*x**z = 0.
-2, -1, 0, 1
Let u(c) be the second derivative of c**4/24 + 7*c**3/6 + 49*c**2/4 + 8*c. What is q in u(q) = 0?
-7
Let y(z) = -2*z**2 + 4*z - 2. Let f(w) = -2*w - 4*w + 2*w**2 + 1 + 2*w + w. Let c(r) = -6*f(r) - 5*y(r). Factor c(k).
-2*(k - 1)*(k + 2)
Let 43 + 44*z**2 + 6*z**3 + 140*z + 57 - 2*z**3 = 0. What is z?
-5, -1
Let n(k) be the third derivative of -k**6/900 + k**4/45 + 14*k**2. What is t in n(t) = 0?
-2, 0, 2
Let g(f) be the second derivative of 0*f**2 - 1/150*f**6 - 1/15*f**3 + 1/50*f**5 + 0 + 1/60*f**4 + f. What is o in g(o) = 0?
-1, 0, 1, 2
Factor 0 - 3/2*f + 3/2*f**3 + 0*f**2.
3*f*(f - 1)*(f + 1)/2
Let m(c) be the second derivative of 2*c**6/15 - 4*c**4/3 + 2*c. Let m(s) = 0. What is s?
-2, 0, 2
Let p(r) be the second derivative of 3/20*r**5 + 0 + 1/2*r**3 + 0*r**2 - 1/2*r**4 + r. Factor p(l).
3*l*(l - 1)**2
Suppose 2*k - k - 23 = 0. Let z = k + -8. Factor -v**4 - z*v + 15*v.
-v**4
Let d(g) be the third derivative of g**8/336 + g**7/105 + g**6/120 - 24*g**2. Factor d(c).
c**3*(c + 1)**2
Let a(b) be the third derivative of -b**5/15 - b**4/3 + 2*b**3 + 2*b**2. Factor a(j).
-4*(j - 1)*(j + 3)
Let j(d) be the second derivative of d**7/63 - 4*d**6/45 + d**5/6 - d**4/9 + 10*d. Factor j(x).
2*x**2*(x - 2)*(x - 1)**2/3
Let b(m) be the first derivative of 0*m + 0*m**2 - 1/4*m**4 - 2/3*m**3 + 1/5*m**5 - 2. Factor b(i).
i**2*(i - 2)*(i + 1)
Find r, given that -2/5*r + 1/5*r**2 - 3/5 = 0.
-1, 3
Let y(a) = 4*a**3 - 7*a - 3. Let z(f) = -44*f**3 + 76*f + 32. Let s(c) = 32*y(c) + 3*z(c). Let s(k) = 0. Calculate k.
-1, 0, 1
Let d(y) be the third derivative of -1/9*y**4 + 0*y + 1/90*y**5 - 2*y**2 + 0 + 4/9*y**3. Let d(q) = 0. What is q?
2
Let w = -13/14 + 10/7. Determine x, given that 9/2*x**2 + w - 3*x - 2*x**3 = 0.
1/4, 1
Factor 4/7*i**2 + 0 + 4*i.
4*i*(i + 7)/7
Suppose 2*j - 4*t - 5 = 3*j, 0 = 4*j - 4*t - 20. Suppose 3*c - 15 = 5*f, j*c - c = 4*f + 12. Suppose -2/7*l**3 + c*l - 2/7*l**2 + 0 = 0. What is l?
-1, 0
Let f(u) be the first derivative of -3*u**4/38 - 4*u**3/57 + u**2/19 - 9. Factor f(r).
-2*r*(r + 1)*(3*r - 1)/19
Let n = 18 - 17. Let l(d) be the first derivative of 1/15*d**3 + 1/5*d**2 + n + 1/5*d. Determine q, given that l(q) = 0.
-1
Suppose -3*v - 4 = -5*v. Suppose b**3 - 7*b**3 + b**3 + 9*b**2 - 4*b + b**4 + v - 3*b = 0. Calculate b.
1, 2
Let h = 13/9 - 7/9. Factor -10/9*y**5 + 16/9*y**2 + h*y - 4/9 - 44/9*y**3 + 4*y**4.
-2*(y - 1)**4*(5*y + 2)/9
Let l = 4 + -4. Let q = 2 - l. Factor 1/5 + 1/5*s**q - 2/5*s.
(s - 1)**2/5
Let a(z) = -3*z**3 - 2*z**2 - z. Let m be a(-1). Let b be (0 + 4)*m/4. Factor 22/7*c + 4/7 + 2*c**3 + 32/7*c**b.
2*(c + 1)**2*(7*c + 2)/7
Let o(l) be the first derivative of 3/5*l**5 + l**3 + 0*l - 7 + 0*l**2 + 3/2*l**4. Factor o(b).
3*b**2*(b + 1)**2
Factor 1/2*b**5 + 45*b**3 - 15/2*b**4 - 135*b**2 + 405/2*b - 243/2.
(b - 3)**5/2
Let y(c) be the first derivative of -4*c**2 - 2*c**3 + c**4 + 1 + 2/5*c**5 + 8*c. Determine v so that y(v) = 0.
-2, 1
Let c(r) = -r**3 + 11*r**2 + 2. Let f be c(11). Let z(b) be the second derivative of 0*b**4 - 2*b + 1/6*b**3 + 0 + 0*b**f - 1/20*b**5. Let z(y) = 0. What is y?
-1, 0, 1
Let n = -2 + 6. Let p(j) = -j**2 - 2*j - 5. Let i(f) = -f**2 - 2*f - 4. Let u(r) = n*i(r) - 3*p(r). Factor u(h).
-(h + 1)**2
Let q(c) = c**3 - 7*c**2 + 6*c + 4. Suppose o = 1 + 5. Let p be q(o). Factor 22/5*y + 4/5 + 42/5*y**2 + 34/5*y**3 + 2*y**p.
2*(y + 1)**3*(5*y + 2)/5
Let g = -11 + 14. Let j(o) be the first derivative of -2 + 1/2*o**4 + 0*o - 2/3*o**g + 0*o**2. Determine x so that j(x) = 0.
0, 1
Suppose -25*j**2 + 2*j**5 - 2*j**3 + 9/2 + 17/2*j**4 + 12*j = 0. Calculate j.
-3, -1/4, 1
Let q(d) be the third derivative of -1/30*d**4 + 0*d**3 + 0*d + 0 + 5*d**2 - 1/150*d**5. Let q(n) = 0. What is n?
-2, 0
Factor 1/8*f**2 - 1/4 + 1/8*f.
(f - 1)*(f + 2)/8
Let b be (0 + 1)/((-5)/(-20)). Factor -9*x**4 - 3*x**4 + 5*x - 3*x**5 - 12*x**2 - 18*x**3 - 4*x - b*x.
-3*x*(x + 1)**4
Let m = 2/267 + 1054/1869. Factor 6/7*n**3 + 0 - 2/7*n**4 + 0*n - m*n**2.
-2*n**2*(n - 2)*(n - 1)/7
Factor -2*u - 2*u**3 - 2*u**2 + 4*u + 9*u**4 - u**4 - 6*u**4.
2*u*(u - 1)**2*(u + 1)
Let s be 1/4 - (-1)/4. Suppose 7*m = 2*m + 15. Factor -1/4*p + s*p**2 - 1/4*p**m + 0.
-p*(p - 1)**2/4
Let n(o) be the third derivative of o**6/40 + 3*o**5/10 + 3*o**4/2 + 4*o**3 - 7*o**2. Factor n(h).
3*(h + 2)**3
Let 4/5 + 2/5*x + 2/5*x**4 - 6/5*x**2 - 2/5*x**3 = 0. Calculate x.
-1, 1, 2
Let i(p) be the second derivative of p**7/168 + p**6/60 - 3*p**5/80 - p**4/6 - p**3/6 + 21*p. Solve i(t) = 0.
-2, -1, 0, 2
Suppose -4*f = -2*a + 6*a - 12, 4*f - 6 = 2*a. Suppose 5*c = -f + 42. Let 30*b**3 + 3*b**2 + 0*b**2 - 13*b - c*b + 6 = 0. What is b?
-1, 2/5, 1/2
Let h = -4/265 - 5019/1060. Let a = h + 99/20. Factor -3/5*m - a - 1/5*m**3 - 3/5*m**2.
-(m + 1)**3/5
Let d(c) = c**2 + c - 6. Let q be d(-4). Let -8*l + 0 + 4 - 2*l**2 + q*l = 0. Calculate l.
-2, 1
Determine s so that -2/9*s**3 + 2 + 22/9*s**2 - 38/9*s = 0.
1, 9
Suppose 0 = 64*v - 55*v. Find a such that v + 9/5*a + 1/5*a**3 - 6/5*a**2 = 0.
0, 3
Suppose 0 = 4*u + 5*p - 18 - 9, 3*u - 4*p = -3. Let o be 15/9 - 3/(-9). Determine q so that -2*q**2 + q**2 + q - 3*q**o + u*q**2 = 0.
0, 1
Let p(m) be the third derivative of 3*m**2 - 1/3*m**3 + 0*m - 1/6*m**4 + 0 - 1/30*m**5. Find f such that p(f) = 0.
-1
Let z(c) be the third derivative of -1/270*c**6 - 1/378*c**8 + 0 + 0*c**5 + 0*c - 1/105*c**7 + 0*c**4 - 5*c**2 + 0*c**3. Factor z(x).
-2*x**3*(x + 2)*(4*x + 1)/9
Let k(w) be the second derivative of 2/3*w**4 + 0 - 2*w**2 + w**3 + 1/7*w**7 + 3*w - 2/15*w**6 - 3/5*w**5. Determine u, given that k(u) = 0.
-1, 2/3, 1
Let k be ((-480)/(-70))/(18/56). Determine a, given that 1/3 - k*a**5 + 47/3*a**2 + 4*a + 52/3*a*