lculate a.
-1, 0, 1
Solve -4*n**3 - 12*n**4 + 7*n**5 + 2*n**5 + 2*n**3 + 5*n**3 = 0.
0, 1/3, 1
Let d be 2*(-5)/12*400/(-750). Factor -14/9*n**5 + 0*n + 0 + 0*n**3 - d*n**4 + 0*n**2.
-2*n**4*(7*n + 2)/9
Let d(o) be the second derivative of -o**7/8820 + o**6/840 - o**5/210 - o**4/3 + 4*o. Let b(q) be the third derivative of d(q). Factor b(t).
-2*(t - 2)*(t - 1)/7
Let c(o) be the second derivative of o**5/10 + o**4/3 - 4*o**3/3 - 8*o**2 - 3*o + 5. Let c(f) = 0. Calculate f.
-2, 2
Let s(i) be the first derivative of -i**5/30 + i**4/3 - 4*i**3/3 - i**2 - 1. Let o(b) be the second derivative of s(b). Factor o(j).
-2*(j - 2)**2
Let h be 1/18*3/4. Let u(z) be the third derivative of 2*z**2 + 0 + h*z**4 + 1/45*z**5 - 1/18*z**3 + 0*z. Factor u(f).
(f + 1)*(4*f - 1)/3
Suppose g = -3*m + 14, 3*g = -3*m + 12 + 6. Suppose q = -m, -3*q = 2*r + 3*r - 8. Factor 1 - a**2 - r + 4.
-(a - 1)*(a + 1)
Let s = -139/3 - -49. Suppose -3*y**4 + 0 + s*y**2 + y**3 - 4/3*y = 0. Calculate y.
-1, 0, 2/3
Let a be 30/46 + 4/(-6). Let l = a - -73/276. Factor 0*m + 1/4 - l*m**2.
-(m - 1)*(m + 1)/4
Suppose 4 = p - l, 3*p + 4 = p - 4*l. Let h be (-262)/(-12) - p/4. Let -h*g**3 + 154/3*g**4 - 98/3*g**5 + 8/3*g**2 + 0 + 0*g = 0. What is g?
0, 2/7, 1
Let a(g) be the first derivative of g**6/3 + 16*g**5/5 + 3*g**4 - 16*g**3/3 - 7*g**2 - 24. Suppose a(m) = 0. Calculate m.
-7, -1, 0, 1
Let y(q) be the second derivative of 5*q**4/12 + 25*q**3/3 + 40*q**2 + 45*q. Factor y(n).
5*(n + 2)*(n + 8)
Let j(o) be the third derivative of o**5/12 + 5*o**4/24 + o**2. Solve j(l) = 0 for l.
-1, 0
Solve -4/5 + 0*j**2 + 2/5*j**3 - 6/5*j = 0.
-1, 2
Let p(q) = -5*q**3 - 3*q**2 + 9*q + 5. Let d(x) = 2*x - 4. Let g be d(5). Let m(u) = u**3 - u - 1. Let i(k) = g*m(k) + p(k). Let i(z) = 0. What is z?
1
Let h(z) = 5*z - 3. Let v be h(2). Suppose 3*k - 5*a = 26, k - 3*k + 3*a = -16. Factor -9*f**3 + f + f**5 - 5*f**2 - v*f**4 - 3*f**5 - k*f.
-f*(f + 1)**3*(2*f + 1)
Suppose n = -3*n. Suppose 3*k = 6 - n. Factor -2*b**3 + 2*b + k - 5*b**2 + 3*b**2 + 0.
-2*(b - 1)*(b + 1)**2
Let h(t) be the second derivative of t**5/5 + t**4 + 2*t**3 + 2*t**2 + 3*t. Factor h(p).
4*(p + 1)**3
Determine t so that -5/3*t**2 - 4/3 + 3*t = 0.
4/5, 1
Let c(p) be the second derivative of -1/24*p**4 + p + 0 + 0*p**2 + 1/12*p**3. Factor c(o).
-o*(o - 1)/2
Suppose 12*z = 10*z + 4. Factor -2/9*g**z + 2/9 + 0*g.
-2*(g - 1)*(g + 1)/9
Let g(s) = 8*s**2 + 20*s - 50. Let o(q) = -5*q**2 - 10*q + 25. Let x(w) = 3*g(w) + 5*o(w). Factor x(y).
-(y - 5)**2
What is b in -16*b**2 + 10*b + 0*b**3 - 2*b - 2*b**4 + 10*b**3 = 0?
0, 1, 2
Suppose -2*b + 4 = -6. Let n = b - 5. Solve 2/3*g**3 + n + 2/9*g**5 + 2/9*g**2 + 2/3*g**4 + 0*g = 0.
-1, 0
Let g(q) be the second derivative of -q**6/60 - q**5/30 + q**4/12 + q**3/3 + 3*q**2 - 7*q. Let a(m) be the first derivative of g(m). Factor a(l).
-2*(l - 1)*(l + 1)**2
Let n be (1/12)/((-2)/(-6)). Let t be -1 - -1 - 2/(-8). Factor -t*h**2 + 1/4*h + 0 - 1/4*h**3 + n*h**4.
h*(h - 1)**2*(h + 1)/4
Let i(y) be the second derivative of y**5/30 - y**4/18 - y**3/9 + y**2/3 + 27*y. Suppose i(k) = 0. What is k?
-1, 1
Suppose 4*d - 77 = -5. Let z be (-336)/d*(-6)/63. Factor 2/9*k**3 + 8/3*k + 4/3*k**2 + z.
2*(k + 2)**3/9
Let d(b) be the second derivative of -3*b + 0*b**2 - 1/15*b**6 - 1/5*b**5 - 1/6*b**4 + 0*b**3 + 0. Factor d(y).
-2*y**2*(y + 1)**2
Suppose 0 = c - h - 9, -3*c + 31 = -5*h - 6. Suppose -3*k + 10 = -3*q + q, -3*k + 14 = -c*q. Solve -i**4 - k*i**2 + i**3 + i**3 + 3*i**4 - 2*i = 0 for i.
-1, 0, 1
Let q(l) be the first derivative of 1/12*l**4 - 1/15*l**5 - 1/18*l**6 + 0*l**2 + 3 + 1/9*l**3 + 0*l. Factor q(c).
-c**2*(c - 1)*(c + 1)**2/3
Let o = -2411 + 267623/111. Let q = o - -329/222. Solve -3/2*p**3 + 0 + 3*p**2 - q*p = 0.
0, 1
Let i(t) be the second derivative of 3*t**6/35 + 3*t**5/70 - t**4/7 + 27*t. Determine m so that i(m) = 0.
-1, 0, 2/3
Let m(z) = -6*z + 4. Let u(y) be the second derivative of -y**3 + 3*y + 0 + 2*y**2 - 1/12*y**4. Let v(g) = 3*m(g) - 2*u(g). Suppose v(w) = 0. Calculate w.
1, 2
Let z = -18554/11 + 1688. Factor 18/11*j**2 + 2/11*j**4 - z*j - 10/11*j**3 + 4/11.
2*(j - 2)*(j - 1)**3/11
Suppose 0*a - 25 = -5*a. Solve 2 + 6*t**3 + 4*t**4 + 2*t**3 - a*t + 155*t**2 - 158*t**2 = 0 for t.
-2, -1, 1/2
Let 434 + 44*d**3 - 434 - 8*d + 4*d**2 + 44*d**4 + 12*d**5 = 0. Calculate d.
-2, -1, 0, 1/3
Let t(x) be the first derivative of x**4/10 + 2*x**3/5 - x**2/5 - 6*x/5 - 20. Factor t(b).
2*(b - 1)*(b + 1)*(b + 3)/5
Let i(r) = r**3 + 5*r**2 + 4*r + 3. Let v be i(-4). Let a(y) be the second derivative of 0 - 1/3*y**v + 1/24*y**4 + y**2 - 3*y. Factor a(b).
(b - 2)**2/2
Let t(c) = -3*c**2 + 11*c + 9. Let v(k) = k. Let u(j) = t(j) - 5*v(j). Determine w so that u(w) = 0.
-1, 3
Factor -h**2 - 3*h + 12*h**3 + 3*h - 7*h**2 - 4*h**5.
-4*h**2*(h - 1)**2*(h + 2)
Let x be 9/(270/12)*2/4. Solve 1/5*y**3 - x*y**4 + 1/5*y**2 - 1/5*y + 0 = 0.
-1, 0, 1
Let c(q) be the third derivative of q**5/210 - q**4/28 + 2*q**3/21 + 4*q**2. Factor c(b).
2*(b - 2)*(b - 1)/7
Factor -1/3*t**2 - 25/3 + 10/3*t.
-(t - 5)**2/3
Let o(l) = -5*l**2 + 8*l + 2. Let q(g) = g - 1. Let j(f) = o(f) + 2*q(f). Find n such that j(n) = 0.
0, 2
Suppose 5*s + 15 = 2*w, 5*w - 4*s + 0*s - 12 = 0. Factor -2/9*k**5 + 2/9*k**3 + 0*k + 2/9*k**2 + w - 2/9*k**4.
-2*k**2*(k - 1)*(k + 1)**2/9
Let r(g) be the first derivative of -35*g**4/4 + 50*g**3 - 90*g**2 + 40*g - 40. Factor r(s).
-5*(s - 2)**2*(7*s - 2)
Factor 0 + 0*y**2 - 1/2*y**4 + 0*y + 1/2*y**3.
-y**3*(y - 1)/2
Let d = 5 + 95. Let n be (-55)/d - 3/(-4). Factor -n*r**2 - 1/5 - 2/5*r.
-(r + 1)**2/5
Let v = 11/6 - 65/42. Factor 0 + 2/7*y**2 + v*y.
2*y*(y + 1)/7
Let y be 1 + 0*(-2)/2. Let n(o) = 6*o**3 - 1. Let d be n(y). Factor 5*r**2 + 3*r**2 - d*r**2 - 5*r**2.
-2*r**2
Let b(w) be the first derivative of -w**3/3 - 3*w**2 - 9*w - 1. Factor b(a).
-(a + 3)**2
Let q = 1 + 4. Let l = q + -2. Factor 3*i**3 - 4*i**3 + 2*i**2 + l*i**3.
2*i**2*(i + 1)
Let d(c) be the first derivative of 7*c**9/432 + 11*c**8/240 + 4*c**7/105 + c**6/90 - 2*c**3 - 6. Let q(n) be the third derivative of d(n). Factor q(t).
t**2*(t + 1)*(7*t + 2)**2
Find k, given that -1/7*k**4 + 0 + 0*k + 1/7*k**5 + 0*k**2 - 2/7*k**3 = 0.
-1, 0, 2
Let t(c) be the first derivative of 3 + c**2 + 3*c**4 + 0*c - 8/5*c**5 + 1/3*c**6 - 8/3*c**3. Factor t(r).
2*r*(r - 1)**4
Let z(q) be the third derivative of q**5/240 + q**4/48 + 13*q**2. Factor z(d).
d*(d + 2)/4
Suppose 7*j + 412 = -239. Let k be 6/(-9) - j/18. Factor -3 - 3/2*t**3 + k*t + 0*t**2.
-3*(t - 1)**2*(t + 2)/2
Let r(i) be the second derivative of -i**4/12 - i**3/6 + 5*i. Suppose r(s) = 0. Calculate s.
-1, 0
Let c(q) = -7*q**2 + 4*q + 12. Let d(i) = i**2 - i - 1. Let n(l) = 5*c(l) + 40*d(l). Factor n(m).
5*(m - 2)**2
Let x be (-99)/36 + 1 + 4. Factor -3/2 + x*j**2 - 3/4*j.
3*(j - 1)*(3*j + 2)/4
Let z(t) be the second derivative of -1/40*t**5 - 1/2*t**2 + 1/4*t**3 + 0 + 0*t**4 + 6*t. Suppose z(r) = 0. Calculate r.
-2, 1
Let s(d) = -d**3 - 2*d**2 - d + 2. Let m(g) = 0*g**2 - g**3 - 2*g - 2*g**2 + 3 + 0 - 1. Let a(i) = -2*m(i) + 3*s(i). Find v, given that a(v) = 0.
-2, -1, 1
Let i(r) be the second derivative of r**6/40 - r**5/10 + r**4/6 + 2*r**3/3 - 3*r. Let b(j) be the second derivative of i(j). Suppose b(o) = 0. What is o?
2/3
Let z = -3560/9 - -396. Let 2/9*y + z*y**2 - 2/9*y**3 - 4/9 = 0. What is y?
-1, 1, 2
Factor -2/9*m**2 + 2/3 + 4/9*m.
-2*(m - 3)*(m + 1)/9
Let p(q) be the third derivative of 1/60*q**5 + 0*q**3 + 0*q - 9*q**2 + 0 - 1/24*q**4. What is u in p(u) = 0?
0, 1
Let h(a) be the first derivative of -7*a**4/24 - 5*a**3/18 + a**2/6 + 5. Find f such that h(f) = 0.
-1, 0, 2/7
Let z = 2299/36 - 568/9. Find i, given that 0 + 3/4*i**3 - z*i - 3/4*i**2 + 3/4*i**4 = 0.
-1, 0, 1
Let k be (-7 + 3)/(-2) + 0. Suppose -k*z = -4*z. Solve 0*v - 5*v**2 - 2*v + z*v + 3*v**2 = 0.
-1, 0
Let f(w) = -w**3 + 11*w**2 - 12*w + 24. Let o be f(10). Let b be ((-6)/o)/((-45)/100). Find c, given that 0 + b*c**4 + 0*c + 0*c**2 + 14/3*c**5 - 4/3*c**3 = 0.
-1, 0, 2/7
Let a = 3/10 + 1/5. Suppose 2*p - 6 = c + 1, 4*p - 5*c - 23 = 0. Find r, given that a + 3/2*r + 3/2*r**p + 1/2*r**3 = 0.
-1
Let h(u) = 3*u**2 - u - 2. Let q(n) = 0 + 11*n**2 - 11 - 5*n + 5*n**2. Let x(j) = 22*h(j) - 4*q(j). Factor x(f).
2*f*(f - 1)
Let p(z) be the t