*n**3 - 2*n**3 + n**3 - z*n.
2*n*(n - 1)*(n + 1)
Let k be (-2)/(-5)*9/9. Let s(q) be the first derivative of 2/5*q + k*q**2 - 1 + 2/15*q**3. Determine l so that s(l) = 0.
-1
Let t(d) be the second derivative of -d**6/60 - d**5/10 + d**4/12 + d**3 - 9*d**2/4 + 2*d. Determine q so that t(q) = 0.
-3, 1
Let v(c) be the second derivative of -c**6/90 + c**5/20 + c**4/6 - 4*c**3/9 - 7*c. Factor v(y).
-y*(y - 4)*(y - 1)*(y + 2)/3
Suppose -4*d = 4*u - 52, 4*u - 57 = -3*d - 2*d. Suppose 4*q = 6*q - u. Factor 98/5*b**q + 0 + 64/5*b**2 - 8/5*b - 154/5*b**3.
2*b*(b - 1)*(7*b - 2)**2/5
Let f(v) = 4*v**4 - 4*v**3 + v**2 - v + 5. Let j = 17 + -12. Let m(b) = 6*b**4 - 6*b**3 + 2*b**2 - 2*b + 8. Let r(i) = j*m(i) - 8*f(i). What is q in r(q) = 0?
-1, 0, 1
Suppose 9 = -3*v - 5*n, -4 - 2 = -2*n. Let m = 6 + v. Let c(q) = -q**3 + q**2 - 2. Let w(z) = -2*z**3 + 3*z**2 - 5. Let y(j) = m*w(j) + 5*c(j). Factor y(g).
-g**2*(g + 1)
Determine z so that -16/5*z**4 - 8/5*z**5 + 2*z + 2/5 + 14/5*z**2 - 2/5*z**3 = 0.
-1, -1/2, 1
Let u(g) be the second derivative of -g**5/70 + 4*g**3/21 - 28*g. Suppose u(x) = 0. Calculate x.
-2, 0, 2
Determine b, given that 6*b + 0 + 27/2*b**3 + 3*b**4 + 18*b**2 = 0.
-2, -1/2, 0
Let b(l) be the second derivative of l**7/280 - l**6/60 + l**5/40 - 2*l**3/3 + 2*l. Let c(t) be the second derivative of b(t). Factor c(h).
3*h*(h - 1)**2
Let h = 6 - 3. Factor -3*l**2 + 2*l**3 - h*l + 0*l**2 - l**3 + 5*l.
l*(l - 2)*(l - 1)
Let v(a) = a**3 - 3*a**2 + 3*a - 1. Let l be v(2). Let h = l - -3. Find x such that -2*x**2 + 0 - h*x + 1 - 3 = 0.
-1
Let m(h) be the first derivative of -2*h**3/45 + 7*h**2/15 - 4*h/5 - 25. Let m(x) = 0. Calculate x.
1, 6
Let s(p) be the third derivative of -p**6/160 + p**5/48 - p**4/96 - p**3/24 - 12*p**2. Find x, given that s(x) = 0.
-1/3, 1
Let n(v) be the second derivative of v**5/20 + v**4/12 - v**3 + 3*v - 9. Factor n(d).
d*(d - 2)*(d + 3)
Let v be ((-228)/8)/(2/12). Let f = v - -859/5. Find u such that 0 - f*u**2 + 2/5*u**3 + 2/5*u = 0.
0, 1
Let b be 136/56 + (-9)/21. Let r(w) be the third derivative of -w**b + 0*w + 2/21*w**3 + 0 + 1/84*w**4 - 1/210*w**5. Determine z so that r(z) = 0.
-1, 2
Suppose 5*z - 18 = -3*v, v - 2*z - 6 = -0*v. Suppose 5*l - 3*l - v = 0. Factor -2/3*i + 0 - 2/3*i**l - 4/3*i**2.
-2*i*(i + 1)**2/3
Let m(x) = -5*x**2 - 5*x. Let k(z) = 4*z**2 + 5*z + 1. Let g(h) = 4*k(h) + 3*m(h). Suppose g(y) = 0. Calculate y.
-4, -1
Let g(w) = w**3 - 12*w**2 - 14*w + 15. Let x be g(13). Factor 1/5*y**4 + 1/5*y**3 + 0 + 0*y**x + 0*y.
y**3*(y + 1)/5
Determine u so that 0*u + 2*u**2 + 2/7*u**5 - 2/7*u**3 - 8/7 - 6/7*u**4 = 0.
-1, 1, 2
Let h(y) be the third derivative of -3*y**6/40 + y**5/20 + 2*y**3/3 - y**2. Let t(x) = x**4 - 10*x**3 + 4*x**2 + 5. Let n(i) = 5*h(i) - 4*t(i). Factor n(v).
-v**2*(v + 1)*(4*v + 1)
Let w(t) be the second derivative of -t - 3/50*t**5 + 3/50*t**6 - 1/10*t**4 - 1/70*t**7 + 3/10*t**3 + 0 - 3/10*t**2. Factor w(s).
-3*(s - 1)**4*(s + 1)/5
Let s = -514/3 - -3610/21. Suppose 4/7*n**2 - 4/7*n + 4/7*n**3 - s = 0. Calculate n.
-1, 1
Let y(l) be the second derivative of -l**5/20 + 13*l**3/6 + 6*l**2 - 2*l + 61. Factor y(s).
-(s - 4)*(s + 1)*(s + 3)
Factor 1/2*u**2 + 81/2 - 9*u.
(u - 9)**2/2
Let y be -2 + (0 + -1)*-4. Factor 1/4*v**3 + 3/4*v - 1/4 - 3/4*v**y.
(v - 1)**3/4
Let b be 1*12*(-18)/(-486). Factor 2/3*m**2 + 14/9*m + b.
2*(m + 2)*(3*m + 1)/9
Let x(k) = 2*k**2 + 2*k. Let t be x(-2). Let q(y) be the first derivative of 2/7*y**2 + 2 + 0*y**3 - 1/7*y**t + 2/7*y - 2/35*y**5. What is m in q(m) = 0?
-1, 1
Let u(f) be the first derivative of -3*f**4/16 + f**3/6 + 3*f**2/8 - f/2 + 4. Factor u(p).
-(p - 1)*(p + 1)*(3*p - 2)/4
Let t(z) be the first derivative of -5/3*z**2 - 3 - 2/15*z**5 + 1/6*z**4 + 2/3*z**3 + 4/3*z. Solve t(d) = 0 for d.
-2, 1
Let i(j) be the first derivative of j**7/1680 - j**5/240 - 2*j**3/3 + 1. Let p(m) be the third derivative of i(m). Solve p(c) = 0 for c.
-1, 0, 1
Let v be (13/(-26))/((-1)/8). Let u(p) be the third derivative of 1/30*p**5 - 1/24*p**v + 1/40*p**6 + p**2 + 0 + 0*p + 0*p**3. Factor u(m).
m*(m + 1)*(3*m - 1)
Suppose z + 8 = -0*u + 3*u, 2*u = 3*z + 10. Factor 2/11*k**u + 6/11 - 8/11*k.
2*(k - 3)*(k - 1)/11
Let b be (119/(-833))/(2/(-4) + 0). What is t in -b*t**2 - 2/7*t + 0 = 0?
-1, 0
Factor 0*x + 4/3*x**2 + 0 + 0*x**3 - 4/3*x**4.
-4*x**2*(x - 1)*(x + 1)/3
Let x(u) be the first derivative of u**6/105 - u**5/10 + 5*u**4/14 - 3*u**3/7 + 4*u - 3. Let q(d) be the first derivative of x(d). Solve q(a) = 0 for a.
0, 1, 3
Let v(l) be the first derivative of 2 - 1/24*l**4 + 1/4*l**2 + 0*l**3 + 1/3*l. Suppose v(b) = 0. What is b?
-1, 2
Let a = 7 + -4. Suppose -b**4 + 2*b - 6*b**2 + 2*b**3 - b**4 + 4*b**a = 0. What is b?
0, 1
Let b(f) be the first derivative of 1/4*f**2 - 1/6*f**3 - 4 + 0*f. Factor b(k).
-k*(k - 1)/2
Let v = -10 + 16. Factor 4*d**2 + 6*d - v*d**2 - 6*d**2 + 2.
-2*(d - 1)*(4*d + 1)
Let a(w) be the first derivative of 0*w + 3 + 2*w**2 - 2/3*w**3. Find q, given that a(q) = 0.
0, 2
Let g(x) be the second derivative of 3/40*x**5 - 1/6*x**3 + 0*x**2 + 0 + 8*x - 1/24*x**4. Factor g(h).
h*(h - 1)*(3*h + 2)/2
Let i = 170 - 2549/15. Let a(h) be the third derivative of 0 + 5/12*h**4 - 2/3*h**3 + 0*h + 3*h**2 - i*h**5. Let a(x) = 0. What is x?
1/2, 2
Determine b, given that 2/7*b**2 - 12/7*b - 1/7*b**4 + 4/7*b**3 - 9/7 = 0.
-1, 3
Let s(q) be the first derivative of -4*q**3/3 - 16*q**2 - 64*q - 11. Factor s(i).
-4*(i + 4)**2
Suppose -4*p - 8 = 5*x - 0*x, 4*x = -3*p - 6. Find a such that -1/3*a**3 - 4/3 + a**2 + x*a = 0.
-1, 2
Let x(t) be the first derivative of t**6/2 - 12*t**5/5 + 9*t**4/4 + 4*t**3 - 6*t**2 - 21. Determine l so that x(l) = 0.
-1, 0, 1, 2
Let a be (-33 + 3)/((-8)/6). Let c = 23 - a. Factor -1/2*v**2 - 3/2*v - c*v**4 + 3/2*v**3 + 1.
-(v - 2)*(v - 1)**2*(v + 1)/2
Let i(q) be the third derivative of q**6/900 - q**5/300 + q**3/3 - 4*q**2. Let z(d) be the first derivative of i(d). Factor z(c).
2*c*(c - 1)/5
Let t(g) be the second derivative of g**7/63 - 7*g**6/45 + g**5/3 + g**4 - 3*g**3 - 9*g**2 - 4*g. Factor t(k).
2*(k - 3)**3*(k + 1)**2/3
Let 4/3*l**4 - 4*l**2 - 8/3 - 4/3*l**3 + 20/3*l = 0. Calculate l.
-2, 1
Let c = 158 - 155. Determine a, given that 10*a + 14/3*a**2 + 2/3*a**c + 6 = 0.
-3, -1
Let j(n) = -7*n**4 + 12*n**3 - 14*n**2 + 12*n - 7. Let s(d) = -15*d**4 + 24*d**3 - 27*d**2 + 24*d - 15. Let f(u) = -9*j(u) + 4*s(u). Factor f(h).
3*(h - 1)**4
Let g(d) be the third derivative of 0*d + 0*d**3 + 0 - 1/6*d**4 + 1/60*d**6 + 2*d**2 + 1/30*d**5. Find b such that g(b) = 0.
-2, 0, 1
Let f(v) be the first derivative of v**6/360 + v**5/60 + v**4/24 - v**3 - 8. Let t(n) be the third derivative of f(n). What is h in t(h) = 0?
-1
Let f be 0 + 2/(2 - 1). Factor 4 + 3*w**2 + f + w**2 + w**2 - 17*w.
(w - 3)*(5*w - 2)
Suppose -2*s - p = -4, 7*s - p = 3*s + 8. Find l, given that 12 - 3*l**2 - s*l + 10*l - 8*l = 0.
-2, 2
Let b(u) be the second derivative of -u**7/5040 - u**6/1440 + u**5/120 + u**4/6 - u. Let k(m) be the third derivative of b(m). Factor k(r).
-(r - 1)*(r + 2)/2
Suppose 0 = -5*i + 5 - 0. Let r(w) be the first derivative of 2/7*w**2 + 0*w - 5/14*w**4 + 2/7*w**3 - i. Factor r(u).
-2*u*(u - 1)*(5*u + 2)/7
Let g be (3*(-15)/(-54))/((-45)/(-36)). What is x in 4/3*x + g*x**3 - 2*x**2 + 0 = 0?
0, 1, 2
Let b(t) = -t**2 - 9*t + 5. Let p be b(-10). Let m = p - -7. Factor 0 + 10/3*r**3 - 2/3*r**m - 2*r**4 - 2/3*r.
-2*r*(r - 1)**2*(3*r + 1)/3
Let c(b) be the third derivative of -b**5/300 - b**4/40 - 3*b**2. Factor c(m).
-m*(m + 3)/5
Let i(z) be the third derivative of -z**5/100 + z**3/10 + z**2. Determine n so that i(n) = 0.
-1, 1
Let j = 186 - 183. Find x, given that -1/4*x**4 - 13/4*x**2 + 3*x - 1 + 3/2*x**j = 0.
1, 2
Let d be (0 - 0)/(-27 - -25). Let o(x) be the second derivative of 1/60*x**4 - 1/10*x**2 + d + 0*x**3 - 2*x. Factor o(k).
(k - 1)*(k + 1)/5
Let w(a) = a**2 + 6*a - 4. Let n be w(-7). Let j be 23/10 + n/(-2). Find u such that j*u + 2/5 + 2/5*u**2 = 0.
-1
Let z(b) be the third derivative of b**6/240 - b**5/30 + 5*b**4/48 - b**3/6 + 7*b**2. Suppose z(r) = 0. What is r?
1, 2
Let 80*n**2 + 18 - 35*n**2 - 42*n**2 + 15*n = 0. Calculate n.
-3, -2
Let u(l) = l - 1. Let j(f) = -4*f**3 + 8*f**2 + 24*f - 12. Let x(h) = -j(h) + 12*u(h). Determine r, given that x(