 = -3*a + y + y, 3*y + 19 = -4*a. Let d be (2 - -1)/(a/(-14)). Let 3*b**3 - 4*b**4 - b**3 + d*b**4 = 0. Calculate b.
-1, 0
Let m(n) be the second derivative of -n**7/147 - n**6/105 + n**5/70 + n**4/42 + 5*n. Let m(b) = 0. Calculate b.
-1, 0, 1
Let r(d) be the second derivative of 1/135*d**6 + 0*d**3 + 0*d**5 + 0*d**2 + 0 - 1/54*d**4 - 2*d. Factor r(m).
2*m**2*(m - 1)*(m + 1)/9
Let u(s) be the third derivative of s**9/15120 - s**8/5040 - 2*s**5/15 - 3*s**2. Let m(c) be the third derivative of u(c). What is b in m(b) = 0?
0, 1
Find x, given that 12/5*x**3 + 6/5*x**4 + 0 - 6/5*x**2 - 12/5*x = 0.
-2, -1, 0, 1
Let b = -1 + 7. Let w(i) be the first derivative of -2/15*i**3 + 1 + 0*i + 2/25*i**5 + 0*i**2 - 1/10*i**4 + 1/15*i**b. Let w(s) = 0. Calculate s.
-1, 0, 1
Let y(l) be the third derivative of -l**6/300 - l**5/75 + l**4/15 + 8*l**3/15 + 22*l**2. Solve y(s) = 0 for s.
-2, 2
Let t(o) = 3*o + 35. Let m be t(-11). Let x(g) be the second derivative of 0*g**m + 1/40*g**5 + 1/12*g**3 + 0 - 1/12*g**4 + g. Solve x(z) = 0.
0, 1
Let l(b) = -b**3 + 5*b**2 + 7*b - 4. Let h be l(6). Factor -n**3 + 17*n**4 - 13*n**4 + h*n**3.
n**3*(4*n + 1)
Let a(b) be the first derivative of 2*b**3/21 - 2*b**2/7 + 2*b/7 - 51. Factor a(n).
2*(n - 1)**2/7
Let d(p) be the first derivative of -1/27*p**6 - 1/9*p**2 + 1/9*p**4 + 2/9*p - 3 - 4/27*p**3 + 2/45*p**5. Solve d(s) = 0 for s.
-1, 1
Let f be (1/1 + -1)*1. Let v = 3 + f. Let -v*y**2 + 3 + y**2 - 1 = 0. What is y?
-1, 1
Let u(l) be the second derivative of 1/2*l**5 + 0*l**2 + 4*l + 0 - 2/3*l**3 - 1/2*l**4. Factor u(a).
2*a*(a - 1)*(5*a + 2)
Let z(m) = -5*m**2 - 3 + 5 + 3*m**3 - 3*m + m + 1. Let n(r) = r**3 - r**2 - 1. Let a(d) = -2*n(d) + 2*z(d). Suppose a(k) = 0. Calculate k.
-1, 1, 2
Let v(u) be the second derivative of 5*u**7/42 + u**6 + 2*u**5 - 5*u**4/2 - 15*u**3/2 - 35*u. Factor v(i).
5*i*(i - 1)*(i + 1)*(i + 3)**2
Suppose -28 - 2 = -10*d. Factor -4/9 + 2/9*y + 32/9*y**2 - 14/9*y**5 + 52/9*y**4 - 68/9*y**d.
-2*(y - 1)**4*(7*y + 2)/9
Suppose 2*w + 4 = -26. Let m = 8 + w. Let r(o) = 4*o**2 - o + 4. Let x(f) = -2*f**2 - 2. Let h(s) = m*x(s) - 4*r(s). Factor h(c).
-2*(c - 1)**2
Factor 28*s**5 - 5*s**3 + 3*s**4 - 13*s**4 - 33*s**5.
-5*s**3*(s + 1)**2
Let s(y) be the first derivative of 0*y - 4/45*y**5 - 1/27*y**6 + 1/9*y**2 + 0*y**4 + 4/27*y**3 + 1. What is q in s(q) = 0?
-1, 0, 1
Factor 3/7*d**2 - 3/7*d - 1/7*d**3 + 1/7.
-(d - 1)**3/7
Let n(c) be the second derivative of -c**5/4 + 5*c**4/3 - 10*c**3/3 - 5*c. Factor n(h).
-5*h*(h - 2)**2
Factor -2/3*b + 2/3 - 2/3*b**2 + 2/3*b**3.
2*(b - 1)**2*(b + 1)/3
Factor 2/7*p**5 + 0 + 2/7*p**4 + 0*p**2 + 0*p + 0*p**3.
2*p**4*(p + 1)/7
Let n(i) = -84*i**5 + 3*i**4 + 10*i**3 + 4*i**2 + 4. Let y(m) = 84*m**5 - 3*m**4 - 11*m**3 - 5*m**2 - 5. Let u(p) = 5*n(p) + 4*y(p). Factor u(d).
-3*d**3*(4*d + 1)*(7*d - 2)
Let w = 17 + -14. Let k be -1*(w - (1 + 2)). Factor k - 1/2*q**2 + 0*q.
-q**2/2
Let z(x) be the third derivative of -x**7/1260 + x**6/180 - x**5/180 - x**4/36 + x**3/12 - 20*x**2. Suppose z(h) = 0. What is h?
-1, 1, 3
Let f(x) be the first derivative of -1/2*x - 1 - 1/2*x**2 - 1/6*x**3. Find y such that f(y) = 0.
-1
Determine m, given that 1/2*m**3 + 1/8*m**4 + 3/8*m**2 - 1/2*m - 1/2 = 0.
-2, -1, 1
Suppose -1/7*j**4 + 3/7*j - 3/7*j**3 - 4/7 + 5/7*j**2 = 0. What is j?
-4, -1, 1
Let k(v) be the third derivative of -7*v**5/15 + 3*v**4/2 - 4*v**3/3 + 11*v**2. Find u, given that k(u) = 0.
2/7, 1
Factor -1/5*n**3 - 2*n**2 + 0 - 5*n.
-n*(n + 5)**2/5
Let m be (16/222)/(-5 - -3). Let s = 3532/555 - m. Factor -2*g**2 - 10*g**3 + s*g - 8/5.
-2*(g + 1)*(5*g - 2)**2/5
Let y(b) = -12*b**2 - b - 4. Let n = 2 - 1. Let r(x) = -6*x**2 - x + 1. Let l be r(n). Let m(f) = 11*f**2 + f + 3. Let p(g) = l*m(g) - 5*y(g). Factor p(c).
-(2*c - 1)*(3*c + 2)
Let c = 5 - 5. Factor 4*x**3 + 2*x - 12*x**3 + c*x - 8*x**2 + 2*x**2.
-2*x*(x + 1)*(4*x - 1)
Let h(f) = 4*f**3 - 4*f**2. Let p(z) = 3*z**3 - 3*z**2. Let n(m) = 4 + 2*m + 3*m - 4*m. Let c be n(0). Let o(u) = c*h(u) - 5*p(u). Factor o(t).
t**2*(t - 1)
Let p(g) be the third derivative of -g**11/110880 + g**10/16800 - g**9/10080 - g**5/12 - 3*g**2. Let v(l) be the third derivative of p(l). Solve v(u) = 0 for u.
0, 1, 2
Let r(h) = h**3 - 7*h**2 - 8*h + 2. Let s(o) = -2*o + 2. Let x be s(-3). Let a be r(x). Factor -2*l + 4/3 + 2/3*l**a.
2*(l - 2)*(l - 1)/3
Let q(b) be the second derivative of -4*b**6/15 + 3*b**5/5 + b**4 - 4*b**3/3 + b. Let q(l) = 0. Calculate l.
-1, 0, 1/2, 2
Let y = 12/37 + 14/185. Let v be (-102)/595 + 8/14. Factor -2/5*m**2 + 0*m + 0 - 2/5*m**3 + y*m**4 + v*m**5.
2*m**2*(m - 1)*(m + 1)**2/5
Let a(r) be the first derivative of r**4/24 - 5*r**3/18 + r**2/4 + 3*r/2 + 5. Let a(z) = 0. What is z?
-1, 3
Let m(k) be the first derivative of -1/5*k**5 + 1/4*k**4 + 2/3*k**3 + 0*k**2 - 3 + 0*k. Let m(v) = 0. Calculate v.
-1, 0, 2
Determine h so that -108/7*h**3 - 62/7*h**4 - 38/7*h - 2*h**5 - 6/7 - 92/7*h**2 = 0.
-1, -3/7
Let y(c) be the second derivative of 1/7*c**2 - 1/35*c**5 + 0*c**4 + 0 - 1/105*c**6 + 3*c + 2/21*c**3. Factor y(k).
-2*(k - 1)*(k + 1)**3/7
Let m(j) be the second derivative of 7/40*j**5 + 0 + 1/12*j**4 + 0*j**2 + 1/12*j**6 + 0*j**3 + 5*j. Factor m(x).
x**2*(x + 1)*(5*x + 2)/2
Let p(c) be the third derivative of 0*c**3 - 7/36*c**6 + 0*c - c**2 - 49/144*c**8 - 1/5*c**5 + 7/10*c**7 + 0 + 1/9*c**4. Determine g, given that p(g) = 0.
-2/7, 0, 2/7, 1
Let w = -102 + 718/7. Factor 0 + 0*l - 2/7*l**4 - 2/7*l**2 + w*l**3.
-2*l**2*(l - 1)**2/7
Let u(c) be the second derivative of 0*c**4 + 0*c**3 - 1/60*c**5 + 0 + 0*c**2 - c. Factor u(s).
-s**3/3
Let d(g) = -2*g**2 - g - 4. Suppose h + 27 = 4*q - 0*h, 5 = 5*h. Let w(x) = -x**2 - 2. Let s(f) = q*w(f) - 3*d(f). Factor s(n).
-(n - 2)*(n - 1)
Let x(k) be the first derivative of 1/2*k - 6 - 1/3*k**3 + 0*k**2 + 0*k**4 + 1/10*k**5. Factor x(p).
(p - 1)**2*(p + 1)**2/2
Let w(n) be the third derivative of -1/40*n**6 - 17/630*n**7 + 2*n**2 + 1/36*n**4 + 1/20*n**5 + 5/336*n**8 + 0*n**3 + 0*n + 0. Solve w(v) = 0 for v.
-2/3, -1/5, 0, 1
Let r(s) be the second derivative of -s**8/2520 + s**7/2520 - s**3 + 4*s. Let f(g) be the second derivative of r(g). Solve f(o) = 0 for o.
0, 1/2
Let f(p) be the third derivative of -p**8/1008 - p**7/315 - p**6/360 + 2*p**2. What is g in f(g) = 0?
-1, 0
Let l(m) be the third derivative of -m**10/100800 + m**9/40320 + m**5/20 + 6*m**2. Let t(x) be the third derivative of l(x). Determine q so that t(q) = 0.
0, 1
Let l(c) be the first derivative of c**7/63 - c**6/27 + c**5/90 + c**4/54 + 5*c + 1. Let s(p) be the first derivative of l(p). Suppose s(x) = 0. Calculate x.
-1/3, 0, 1
Factor -6*v**3 + v + 3/2*v**2 + 0 + 7/2*v**4.
v*(v - 1)**2*(7*v + 2)/2
Factor -8*y + 8 - 10*y - 3 + 4*y**2 + 3.
2*(y - 4)*(2*y - 1)
Determine h so that -1/3*h + 1/3*h**2 - 2/3 = 0.
-1, 2
Factor t - t**3 + 0*t**2 + 1/2*t**4 - 1/2.
(t - 1)**3*(t + 1)/2
Let w(c) be the second derivative of -1/21*c**4 - 4/21*c**3 + 0 + 2/35*c**5 + 1/35*c**6 - 4*c - 1/7*c**2. Find s, given that w(s) = 0.
-1, -1/3, 1
Let m(i) be the first derivative of i**5/15 + i**4/4 - 2*i**3/3 + i**2 - 1. Let z(h) be the second derivative of m(h). Factor z(a).
2*(a + 2)*(2*a - 1)
Let m = -6 + 13. Factor -3 - 8*h**2 - h**2 + 5*h - 3*h + 3*h**3 + m*h.
3*(h - 1)**3
Let g(h) be the second derivative of h**7/35 + h**6/10 - 9*h**5/50 - h**4 - 4*h**3/5 + 6*h - 4. Let g(k) = 0. What is k?
-2, -1/2, 0, 2
Let w(v) be the second derivative of -2*v**6/15 - 2*v**5/5 - v**4/3 - 5*v. Factor w(o).
-4*o**2*(o + 1)**2
Let n(r) be the third derivative of r**6/80 - r**5/24 + r**4/24 + 11*r**2. Suppose n(g) = 0. Calculate g.
0, 2/3, 1
Let m(t) be the first derivative of -t**4/8 - t**3/3 - 1. Factor m(q).
-q**2*(q + 2)/2
Let h = -5 + 3. Let k be (-6)/9*h/4. Factor 1/3*c**4 - k*c**2 - 1/3*c + 1/3*c**3 + 0.
c*(c - 1)*(c + 1)**2/3
Let c(l) be the first derivative of l**6/24 + 3*l**5/20 + 3*l**4/16 + l**3/12 + 3*l - 5. Let r(a) be the first derivative of c(a). Solve r(b) = 0 for b.
-1, -2/5, 0
Factor -1/8*l**2 - 9/8 - 3/4*l.
-(l + 3)**2/8
Factor -12 + 28*c**2 + 24*c + 24*c - c**2.
3*(c + 2)*(9*c - 2)
Let y(m) be the second derivative of m**5/20 + m**4/3 + m**3/2 + m**2 - 2*m. Let k be y(-3). Factor -a - 2 + 6*a + 2*a**k - 2*a**3 - 3*a.
-2*(a - 1)**2*(a + 1)
Suppose