d*c**2 = 0. Calculate c.
-1, 0
Let a(u) = -15*u**4 + 6*u**3 + 7*u**2 - 6*u - 8. Let i(b) = 10*b**4 - 4*b**3 - 5*b**2 + 4*b + 5. Let l(p) = 5*a(p) + 8*i(p). Let l(n) = 0. What is n?
-1, 0, 2/5, 1
Let g(c) be the second derivative of 1/24*c**4 - 1/4*c**2 - c + 0*c**3 + 0. Solve g(r) = 0.
-1, 1
Let m(q) be the first derivative of 0*q**4 + 0*q - 1/9*q**3 + 3 + 0*q**2 + 1/15*q**5. Let m(s) = 0. Calculate s.
-1, 0, 1
Let n = -2 + 4. Factor 7*h**3 + 14*h**4 - 25*h**3 - 2*h + n*h + 4*h**2.
2*h**2*(h - 1)*(7*h - 2)
Let r(y) = -2*y + 42. Let h be r(20). Let g(j) be the second derivative of -1/24*j**4 + 0*j**h + 1/12*j**3 + 0 + 3*j. Factor g(t).
-t*(t - 1)/2
Let h(k) = k**2 - 6*k + 3. Let l be h(6). Let f(m) be the second derivative of 0 - 1/3*m**l + 1/6*m**4 - 2*m + 0*m**2. Factor f(z).
2*z*(z - 1)
Let c(r) be the third derivative of r**7/42 - r**6/6 + 10*r**4/3 - 40*r**3/3 + 10*r**2. Factor c(m).
5*(m - 2)**3*(m + 2)
Factor -137 + 2*j**3 + 14*j**2 + 22*j - 133 + 280.
2*(j + 1)**2*(j + 5)
Let l = 151 - 149. Let g(w) be the second derivative of 3/10*w**l + w - 1/20*w**4 + 0 + 1/10*w**3 - 3/100*w**5. Solve g(z) = 0 for z.
-1, 1
Suppose 0 = 3*y - 6. Let t(p) = -10*p**3 - p**2. Let c(i) = -3*i**3. Let h(v) = y*t(v) - 7*c(v). Factor h(g).
g**2*(g - 2)
Let a(c) be the third derivative of 0*c**3 + 0 + 3*c**2 + 0*c**4 + 1/60*c**6 + 1/15*c**5 + 0*c. Factor a(k).
2*k**2*(k + 2)
Let x be (-1)/(-3*4/24). Factor 6/11*o**x + 4/11 + 10/11*o.
2*(o + 1)*(3*o + 2)/11
Let n(t) be the second derivative of -1/12*t**4 - 4*t + 1/100*t**5 + 0 + 4/15*t**3 - 2/5*t**2. Solve n(w) = 0.
1, 2
Let c(q) be the third derivative of -q**7/350 + q**5/100 - 3*q**2. Determine o, given that c(o) = 0.
-1, 0, 1
Suppose -2*a + 12 = 2. Let n(h) be the second derivative of -h + 2/5*h**6 - 1/10*h**a + 3/14*h**7 + 0*h**2 - 1/3*h**4 + 1/6*h**3 + 0. Factor n(q).
q*(q + 1)**2*(3*q - 1)**2
Let j(x) be the first derivative of 0*x**2 - x**4 + 2 - 2/3*x**3 + 0*x - 2/5*x**5. Factor j(s).
-2*s**2*(s + 1)**2
Let c(w) = -w**3 - 5*w**2 + 4*w - 6. Let n be c(-6). Suppose -u = 2 - n. Let 0 - 2*p**u - 1/4*p**2 + p**5 + 0*p + 5/4*p**3 = 0. What is p?
0, 1/2, 1
Let a(y) = 22*y**2 + 8*y + 7. Let d(f) = 43*f**2 + 16*f + 13. Let m(v) = 11*a(v) - 6*d(v). Solve m(w) = 0.
-1/4
Factor 2/3*v**5 - 4/3*v**4 + 1/6*v**3 - 1/6 + 5/6*v**2 - 1/6*v.
(v - 1)**3*(2*v + 1)**2/6
Let w = 20 + -12. Factor -3 - 2 - 1 + 10*i - w*i**2 + 4.
-2*(i - 1)*(4*i - 1)
Let i(p) = -p**2 - 4*p - 2. Suppose 0 = -3*o + 7*o + 8. Let y be i(o). Factor 5/3*x**3 + 0 + 3*x**5 - 16/3*x**4 + 2/3*x**y + 0*x.
x**2*(x - 1)**2*(9*x + 2)/3
Let k(r) = -2*r + 2 - 1 - 4. Let p be k(-4). Determine i, given that -5*i + i + i**2 - i**3 - p*i**2 = 0.
-2, 0
Let v(o) be the third derivative of -o**7/525 - o**6/150 + o**4/30 + o**3/15 - 25*o**2. Solve v(b) = 0.
-1, 1
Let g(q) be the first derivative of -2/9*q + 1/18*q**4 + 1/3*q**2 - 2/9*q**3 - 6. Find j such that g(j) = 0.
1
Let z = 9 + -4. Suppose -2*l**5 - l**4 + l**z - l**4 = 0. What is l?
-2, 0
Let i(b) = -b**3 + 3*b. Let r(g) be the third derivative of g**7/210 - g**6/120 - g**4/24 - g**3/6 - 5*g**2. Let q(s) = i(s) + r(s). Factor q(n).
(n - 1)**3*(n + 1)
Let z(i) be the second derivative of -1/6*i**4 + 3*i + 2/9*i**2 + 0 - 1/27*i**6 - 13/90*i**5 + 1/27*i**3. Factor z(h).
-2*(h + 1)**3*(5*h - 2)/9
Let b(k) be the first derivative of 2*k**5/35 + 5*k**4/14 + 2*k**3/3 + 3*k**2/7 + 7. Determine j so that b(j) = 0.
-3, -1, 0
Let f(c) be the third derivative of -2*c**2 - 1/120*c**6 - 1/20*c**5 + 0*c + 0*c**4 + 2/3*c**3 + 0. Factor f(i).
-(i - 1)*(i + 2)**2
Let g be ((-16)/(-132)*11)/(4/6). Factor -g*h**4 + 0 + 7/4*h**3 - 1/2*h**2 + 0*h + 3/4*h**5.
h**2*(h - 1)**2*(3*h - 2)/4
Let b = 12 - 9. Factor b*c**2 + 2*c**3 + 2*c - 7*c**2 + 3*c - 3*c.
2*c*(c - 1)**2
Let p(z) be the second derivative of z**4/36 - 5*z**3/9 + 25*z**2/6 - 11*z. Find u, given that p(u) = 0.
5
Let k(c) = -c + 2. Let m be k(-2). Solve -6*g**3 + 0*g - g - g**5 + 0*g**5 + m*g**2 + 4*g**4 = 0.
0, 1
Let n be (-99)/(-132) - (6/8 - 2). Factor 0*l + 0 - l**n - 1/2*l**3 + 3/2*l**4.
l**2*(l - 1)*(3*l + 2)/2
Let n be (10/(-12))/(45/(-36)). Factor 0 + n*g + 2/3*g**2.
2*g*(g + 1)/3
Let d be (-6)/16*(-21)/63. Let o(m) be the first derivative of 1/6*m**3 + 0*m**2 + 4 + 0*m - 1/10*m**5 - 1/12*m**6 + d*m**4. Factor o(h).
-h**2*(h - 1)*(h + 1)**2/2
Let s(b) be the second derivative of -b**6/36 + b**5/24 + 5*b**4/24 - 25*b**3/36 + 5*b**2/6 + 2*b. Determine j, given that s(j) = 0.
-2, 1
Let g(o) = o**2 + o. Let x(q) = 35*q**4 + 640*q**3 + 3955*q**2 + 8635*q + 2160. Let v(m) = -5*g(m) - x(m). Determine k, given that v(k) = 0.
-6, -2/7
Let p(h) be the third derivative of -h**9/10584 + h**8/5880 - h**3/3 - 2*h**2. Let b(c) be the first derivative of p(c). Factor b(a).
-2*a**4*(a - 1)/7
Let y(d) be the third derivative of d**8/21 - 16*d**7/105 + d**6/30 + d**5/3 - d**4/6 - 2*d**3/3 + 14*d**2. Factor y(p).
4*(p - 1)**3*(2*p + 1)**2
Suppose 2*k**2 + 2381*k + 146 + 347 - 2313*k + 85 = 0. Calculate k.
-17
Suppose 4 = -f, 0 = 5*t - 0*f + 4*f + 16. Suppose -3*a - 2*x + 12 = 0, -5 = -a - t*x - x. Factor -4/7*d**a + 6/7*d + 4/7.
-2*(d - 2)*(2*d + 1)/7
Find p such that -2/11*p**4 + 4/11*p**2 + 0*p - 2/11 + 0*p**3 = 0.
-1, 1
Let z(k) be the third derivative of -k**6/360 - k**5/60 - k**4/24 - k**3 + 2*k**2. Let m(t) be the first derivative of z(t). Factor m(g).
-(g + 1)**2
Let t(g) be the first derivative of -2*g**4/3 - g**3/3 - 3*g + 4. Let o(h) be the first derivative of t(h). Factor o(a).
-2*a*(4*a + 1)
Let v(l) be the first derivative of l**4/7 + 16*l**3/21 - 2*l**2/7 - 16*l/7 - 51. Find a such that v(a) = 0.
-4, -1, 1
Let 14*u**2 + u + u + 0*u + 2*u = 0. What is u?
-2/7, 0
Find r such that 3/2 + 0*r**2 - 3*r**3 + 3*r - 3/2*r**4 = 0.
-1, 1
Let c(z) = 6*z**4 + 18*z**3 - 28*z**2 - 22*z + 24. Let w(q) = -13*q**4 - 35*q**3 + 56*q**2 + 45*q - 48. Let i(r) = -5*c(r) - 2*w(r). Factor i(d).
-4*(d - 1)**2*(d + 1)*(d + 6)
Factor -2*o**4 + 2*o**3 - 5*o**3 + o**2 - 2*o + 1 + 5*o.
-(o - 1)*(o + 1)**2*(2*o + 1)
Let g(p) be the second derivative of 0 + 1/6*p**4 + 0*p**2 + 0*p**3 - 2*p + 1/10*p**5. Factor g(y).
2*y**2*(y + 1)
Let u be -2 - (4/2 - 8). Factor -32*s**2 + s - 52*s**4 - 68*s**3 + 4*s - 14*s**5 + u - 3*s.
-2*(s + 1)**4*(7*s - 2)
Factor -2*x**5 - 10*x**2 + 10*x**2 + 2*x**3.
-2*x**3*(x - 1)*(x + 1)
Let j(o) = -7*o**2 - 5*o + 2. Let h(y) = -y**2 - y. Let d(m) = 5*h(m) - j(m). Determine w so that d(w) = 0.
-1, 1
Let m(t) be the third derivative of -7/240*t**5 + 0 + 0*t**3 + 0*t + t**2 - 1/280*t**7 + 1/60*t**6 + 1/48*t**4. What is n in m(n) = 0?
0, 2/3, 1
Let p(l) be the first derivative of -l**5/5 + l**4 - 2*l**3/3 - 2*l**2 + 3*l + 2. Factor p(k).
-(k - 3)*(k - 1)**2*(k + 1)
Let k = 43 + -43. Solve k - 2/5*l**3 + 6/5*l**2 - 4/5*l = 0.
0, 1, 2
Let b(n) be the first derivative of 0*n**2 - 2/5*n**5 + 1/6*n**3 - 3 - 3/8*n**4 + 0*n. Factor b(y).
-y**2*(y + 1)*(4*y - 1)/2
Let h(m) = -m**3 - 2*m**2 - 3*m. Let z(b) = -b**3 - 3*b**2 - 4*b. Let a(r) = -4*h(r) + 3*z(r). Factor a(k).
k**2*(k - 1)
Suppose -3/5*l**4 - 6/5 + 9/5*l**2 + 3/5*l - 3/5*l**3 = 0. Calculate l.
-2, -1, 1
Let o(d) = 6*d**2 + 4*d. Let i(a) = 5*a**2 + 4*a. Suppose 2*l - 2 = 4*t, -5*l + 4*t - 2*t + 13 = 0. Let f(u) = l*o(u) - 4*i(u). Factor f(z).
-2*z*(z + 2)
Let m(b) be the first derivative of 2/3*b**3 + 2*b**2 - 1 + 0*b. Factor m(w).
2*w*(w + 2)
Let w = -10 + 13. Factor g**2 + w*g**2 - 4*g**2 - 3 + 2*g + g**2.
(g - 1)*(g + 3)
Let 2*c**5 + 16*c**3 - 8 - 2*c - 10*c + 8*c**2 - 6*c**5 = 0. Calculate c.
-1, 1, 2
Let m(f) be the third derivative of f**3/6 + f**2. Let n(t) = 3*t**3 - 3*t - 5. Let h(s) = -5*m(s) - n(s). Suppose h(q) = 0. Calculate q.
-1, 0, 1
Let t(n) be the second derivative of n**5/30 - n**4/9 - 4*n**3/9 + 8*n**2/3 - 31*n. Determine r so that t(r) = 0.
-2, 2
Let q be 1 - (1 + -1 + -4). Suppose -8 = 2*n, -q*n - 17 = 3*g - 3. Determine a so that 0*a - 1/4*a**g + 0 = 0.
0
Let b = -1/101 - -69392/505. Let s = -137 + b. Determine q, given that 0 + s*q**2 - 2/5*q**3 + 0*q = 0.
0, 1
Suppose -8 = -4*i - w + 3, 0 = -2*i - 4*w + 2. Factor -5*j**2 + j**2 - j**i - 8*j**2 - 16 - 24*j - j**3.
-2*(j + 2)**3
Let 0*g + 1/6*g**3 + 0 - 1/6*g**2 = 0. What is g?
0, 1
Let y(z) = 7*z**2 - 7*z - 12. Let b(m) = -155*m**2 + 155*m + 265. Let g(c) =