s - n + 1/5*n**3 + 2/5*n**2 = 0. Calculate n.
-3, -1, 2
Let w(i) = 3*i**2 - 8*i + 18. Let k(q) be the second derivative of -q**4/12 + q**3/2 - 3*q**2 - 9*q + 2. Let t(r) = 14*k(r) + 4*w(r). Factor t(u).
-2*(u - 3)*(u - 2)
Let i be ((-2163)/(-36771))/((-80)/(-34) + -2 + 0). Factor i*r**3 - 7/6*r + 0*r**2 + 1.
(r - 2)*(r - 1)*(r + 3)/6
Let d(n) = 3*n**3 - 1. Let k = -34 + 29. Let m(o) = 19*o**3 + 4*o**2 - 3*o - 24. Let x(p) = k*m(p) + 30*d(p). Find q such that x(q) = 0.
-3, 2
Let c(n) = -73*n**2 + 3*n - 3. Let z be c(2). Let y = z - -1735/6. Find m such that -y + 1/6*m**3 + 1/2*m - 1/2*m**2 = 0.
1
Suppose -2505*z + 68 = -2488*z. Let j(w) be the second derivative of 1/45*w**6 + 4/9*w**3 - 1/15*w**5 + 0 + 4/3*w**2 - 1/6*w**z + 8*w. Solve j(u) = 0.
-1, 2
Let l = -4/915 + 408/305. Let v(h) be the first derivative of 13/9*h**2 - 10/27*h**3 + l*h - 17. Factor v(u).
-2*(u - 3)*(5*u + 2)/9
Let y(a) be the first derivative of 0*a + 2/3*a**2 + 57 - 1/18*a**3. Factor y(g).
-g*(g - 8)/6
Factor -2/5*d**2 + 218/5*d - 636/5.
-2*(d - 106)*(d - 3)/5
Let c(o) = 5*o. Let p be c(1). Suppose -32*m = -49*m + 255. Let j(s) = 2*s**2 + s + 1. Let y(a) = -7*a**2 - 5*a - 3. Let h(z) = m*j(z) + p*y(z). Factor h(i).
-5*i*(i + 2)
Let s = 392 - 364. Let -4*c**2 + 0 + 0 + s*c - 24 = 0. Calculate c.
1, 6
Let c(t) = -2*t**2 - t + 1. Let a(i) = 9*i**2 + 1158*i + 332925. Let w(p) = -a(p) - 4*c(p). Factor w(y).
-(y + 577)**2
Let c(f) = f**2 - 1. Let u(x) = 4*x**2 - 28*x - 104. Suppose -3 = -3*a - 0*a. Let g(p) = a*u(p) - 6*c(p). Factor g(b).
-2*(b + 7)**2
Let w(h) be the first derivative of -h**5/12 + 15*h**4/4 - 80*h**3/3 + 113*h**2/2 - 99. Let r(p) be the second derivative of w(p). Solve r(q) = 0 for q.
2, 16
Let q(f) = f**2 - 2*f - 2. Let l(u) = 6*u**2 - 76*u + 112. Let n(c) = -l(c) + 8*q(c). Factor n(p).
2*(p - 2)*(p + 32)
Let d = 1255777/134544 + -11/44848. Solve -d + 134/9*f + 10/9*f**2 = 0.
-14, 3/5
Let r be 15 - 13 - 8745/18. Let q = r + 484. Factor -1/2*o**3 - 1/6*o + 0 + q*o**4 + 1/2*o**2.
o*(o - 1)**3/6
Let r(m) = -m - 1. Let h(y) = y**2 - 3*y - 8. Let o be h(5). Let x(c) = -c**o + 2*c**2 + 0 + 349*c - 344*c - 2. Let q(i) = -6*r(i) - 3*x(i). Solve q(f) = 0.
-4, 1
Let j = -38 + 32. Let u be j/(-5)*10/3. Solve w**4 + w**2 + 21*w**3 - 11*w**3 + 4*w**2 + u*w**4 = 0 for w.
-1, 0
Let l(y) be the third derivative of -y**7/420 - 2*y**6/15 - 61*y**5/120 - 5*y**4/8 - 2599*y**2 - 2. Solve l(i) = 0 for i.
-30, -1, 0
Suppose 2*p - 9 = -u, 10*p + u - 4 = 9*p. Let l(i) be the second derivative of i + 0*i**4 - 1/4*i**5 + 5/2*i**3 + p*i**2 + 0. Factor l(k).
-5*(k - 2)*(k + 1)**2
Let j(q) be the second derivative of 3*q**5/20 - 403*q**4/4 + 20200*q**3 + 61206*q**2 - 149*q - 4. Let j(v) = 0. Calculate v.
-1, 202
Let q(y) = -9*y - 15. Suppose 0 = s - u + 2, 4*u - 5*u = 0. Let h be q(s). Factor 135*z**2 + 124*z**2 - 253*z**2 + 3*z + h*z**3.
3*z*(z + 1)**2
Let g(d) = -5*d**2 + 492*d - 61510. Let c(t) = -12*t**2 + 982*t - 123023. Let a(w) = -6*c(w) + 15*g(w). Let a(o) = 0. What is o?
248
Let l = -9/82 - -1029/410. Let a = -2039/38 + 10651/190. Solve -l*r - 4/5*r**3 - 4/5 - a*r**2 = 0.
-1
Suppose 3*p + 18*p = 105. Determine y, given that -96*y + 24*y - 5 + p - 4*y**2 = 0.
-18, 0
Factor 147/2 + 3/8*l**2 + 21/2*l.
3*(l + 14)**2/8
Let k = 3223 + -3223. Let s(r) be the second derivative of -1/6*r**4 - 18*r - 6*r**2 + k + 5/3*r**3. Factor s(j).
-2*(j - 3)*(j - 2)
Let v(r) be the second derivative of 0 - 1/6*r**4 + r**2 + 117*r - 1/60*r**5 + 1/18*r**3. Factor v(z).
-(z - 1)*(z + 1)*(z + 6)/3
Suppose -2*k + 1437*v = 1441*v + 28, 5*v + 50 = 5*k. Factor -2/7*s**3 + 0 + 0*s + 2/7*s**k.
-2*s**2*(s - 1)/7
Let o(j) be the third derivative of -j**5/510 - 103*j**4/204 + 106*j**3/17 + 6*j**2 + 24*j. Let o(k) = 0. What is k?
-106, 3
Let x(f) be the third derivative of 0*f - 72*f**2 + 1/45*f**5 + 13/72*f**4 + 0 + 1/6*f**3. Factor x(h).
(h + 3)*(4*h + 1)/3
Let a be -1 + (-15)/(-4 - -1). Let 26*c**2 - 4 - 10*c**2 + c**4 - 4*c - 13*c**2 + a*c**3 = 0. Calculate c.
-2, -1, 1
Let u(z) be the first derivative of -5*z**4/4 - 110*z**3/3 + 655*z**2/2 - 540*z - 660. Find a, given that u(a) = 0.
-27, 1, 4
Let g = 9535/7482 - -147/2494. Determine a, given that g*a**2 + 0 - 2/9*a**5 - 16/9*a**3 + 2*a - 4/3*a**4 = 0.
-3, -1, 0, 1
Find p such that 2*p**2 - 23 + 144*p + 80 + 85 = 0.
-71, -1
Let a = 114/7 + -23035/1414. Let u = 301/404 - a. Suppose u*d - 1/4 + 5/2*d**2 = 0. Calculate d.
-1/2, 1/5
Let u(o) be the first derivative of 12*o - 296 + 1/2*o**2 - 1/3*o**3. What is v in u(v) = 0?
-3, 4
Let q(y) be the first derivative of y**4/66 + y**3/11 - 4*y**2/11 + 24*y - 36. Let b(s) be the first derivative of q(s). Factor b(f).
2*(f - 1)*(f + 4)/11
Factor 3*i - 1/3*i**3 + 11/3*i**2 - 33.
-(i - 11)*(i - 3)*(i + 3)/3
Let o(k) be the first derivative of 3/4*k + 19 + 7/8*k**2 + 5/12*k**3 + 1/16*k**4. Factor o(q).
(q + 1)**2*(q + 3)/4
Solve -4*y**3 + 8*y**3 - 54 + 195*y + y**3 - 65*y**2 + 0*y**3 - 81 = 0 for y.
1, 3, 9
Factor -396 + 275*j - 453 - 265 - 386 + 7*j**2 - 2*j**2.
5*(j - 5)*(j + 60)
Suppose 0*w = 8*w - 104. Let t be w/(65/(-6))*20/(-6). Find r such that 14*r**2 + t*r - 19*r**2 + 9*r**2 + 1 = 0.
-1/2
Let t(v) be the second derivative of v**6/1080 + 17*v**5/120 - 43*v**3/3 + 66*v. Let k(n) be the second derivative of t(n). Factor k(c).
c*(c + 51)/3
Let l(v) be the third derivative of -v**8/42 + 11*v**7/30 - 43*v**6/20 + 27*v**5/5 - 9*v**4/4 - 27*v**3/2 - 4085*v**2. Factor l(c).
-(c - 3)**3*(c - 1)*(8*c + 3)
Factor -1/2*p**3 + 789/2*p**2 - 156025/2 - 155235/2*p.
-(p - 395)**2*(p + 1)/2
Let w = 8772833/19878 + -3/6626. Let n = w - 436. Find p, given that -32/3 - 2/3*p**2 + n*p = 0.
4
Let j(h) be the second derivative of 344/3*h**3 - 1/3*h**4 - 103*h + 0 - 14792*h**2. Find d such that j(d) = 0.
86
Let v(s) = 17*s**2 - 1867*s + 1830. Let r(t) = 31*t**2 - 3726*t + 3660. Let h(i) = -4*r(i) + 7*v(i). Factor h(p).
-5*(p - 366)*(p - 1)
Let o be (-212784)/(-113256) - ((-34)/(-22) + -2 + 1). Let -o*z - 4/3*z**4 + 1/3*z**5 + z**3 + 0 + 4/3*z**2 = 0. What is z?
-1, 0, 1, 2
Let h be 12*(-68)/(-612)*(-1 + 2). Factor 0*y**2 + 16/3*y + 0 - h*y**3.
-4*y*(y - 2)*(y + 2)/3
Let r(f) be the second derivative of f**5/24 - 19*f**4/24 + 7*f**3/4 - 49*f**2 + 9*f - 5. Let s(z) be the first derivative of r(z). Factor s(p).
(p - 7)*(5*p - 3)/2
Let a be ((-8)/12)/((-38)/18 + 2). Let h = 100 + 58. Factor r**4 - r**2 - 6*r**2 + a*r + 158 - h.
r*(r - 2)*(r - 1)*(r + 3)
Let h(t) be the first derivative of -2/9*t**3 - 968/3*t + 44/3*t**2 + 2. Factor h(y).
-2*(y - 22)**2/3
Let i(g) be the second derivative of 68*g + 5/14*g**7 - 7/10*g**6 + 0 + 0*g**2 + 3/10*g**5 + 0*g**3 + 0*g**4. Let i(h) = 0. Calculate h.
0, 2/5, 1
Let j(h) be the third derivative of -1/3*h**3 + 0 + 22*h**2 + 1/160*h**6 - 17/240*h**5 + 0*h + 11/48*h**4. Find n, given that j(n) = 0.
2/3, 1, 4
Solve 1/9*c**3 - 82/9*c**2 - 376 - 364/3*c = 0.
-6, 94
Let s be (-6)/(-39) - (-46305)/(-78). Let r = s + 594. Find y such that -1/2*y**2 + r*y + 3 = 0.
-2, 3
Let a(k) be the third derivative of k**6/2880 - 13*k**5/480 + 169*k**4/192 + 4*k**3/3 + 60*k**2. Let q(i) be the first derivative of a(i). Factor q(v).
(v - 13)**2/8
Let t = 37206 + -37206. Let j(x) be the third derivative of -1/10*x**5 + 2/25*x**6 + 1/30*x**4 - 26*x**2 + 0 + 16/525*x**7 + t*x + 0*x**3. Factor j(r).
2*r*(r + 2)*(4*r - 1)**2/5
Let o(h) = -76*h**3 - 120*h**2 - 3208*h + 23814. Let b(x) = 15*x**3 - x. Let t(s) = 15*b(s) + 3*o(s). What is y in t(y) = 0?
-63, 6
Let f(r) be the first derivative of 31*r**4/24 + 29*r**3/18 - 16*r**2/3 + 2*r/3 + 979. Let f(v) = 0. Calculate v.
-2, 2/31, 1
Let 288 - 27568*x**2 - 67*x + 27565*x**2 - 218*x = 0. Calculate x.
-96, 1
Let s be 21819/(-161280) - (-2)/15. Let b = 26601/11776 - s. Factor -14/23*q**4 - 16/23*q + 0 - 40/23*q**2 + b*q**3.
-2*q*(q - 2)**2*(7*q + 2)/23
Let t(h) be the second derivative of 13*h**3/6 - 3*h**2/2 + 10*h. Let o be t(1). Factor 2*f**2 - 2*f + 6 + o + 0*f**2 - 20.
2*(f - 2)*(f + 1)
Factor 216/5*a + 0 - 2/5*a**4 + 12/5*a**3 + 126/5*a**2.
-2*a*(a - 12)*(a + 3)**2/5
Let v be (8 + (5187/266)/(-1 - 2))/((-15)/(-56)). Let 2/5*b**3 + 144/5 + v*b**2 + 24*b = 0. Calculate b.
-6, -2
Find j, given that -3/7*j**2 - 123/7*j + 0 = 0.
-41, 0
Let z = -1575918703/61777218 + 79575/3098. Let l = -2