-p**2*(p + 1)**2/9
Let l(r) be the second derivative of 4*r**2 + 0*r**4 + 1/5*r**5 + 0 - 2*r**3 - 23*r. Factor l(q).
4*(q - 1)**2*(q + 2)
Suppose -2*m - 5*v + 255 = 0, -v - 58 - 87 = -m. Let 4*o**5 + m*o**2 - 180*o**2 + 16*o - 8 + 40 - 20*o**3 + 0*o**4 + 8*o**4 = 0. Calculate o.
-2, -1, 1, 2
Suppose 197 + s - 591/4*s**2 + 1/4*s**4 + 97/2*s**3 = 0. Calculate s.
-197, -1, 2
Suppose 10*d - 7 - 13 = 0. Solve -52*t - 21*t**2 + 47*t**d - 20*t + 432 - 23*t**2 = 0 for t.
12
Let o(p) be the second derivative of 0*p**2 - 5/12*p**4 + p**3 + 1/30*p**6 - 1/10*p**5 - 1 - 23*p. Let o(i) = 0. What is i?
-2, 0, 1, 3
Solve -258/5*z**2 + 522/5*z - 2/5*z**3 - 262/5 = 0.
-131, 1
Factor 3/5*o**3 + 72/5*o - 76/5 + 61/5*o**2.
(o + 2)*(o + 19)*(3*o - 2)/5
Let y(l) = l**2 - l - 1. Let p(t) = -3*t**2 + 3*t + 3. Let q(g) = 4*p(g) + 11*y(g). Let a(z) = -8 - 24*z - 11*z - 42. Let u(o) = -a(o) - 5*q(o). Factor u(c).
5*(c + 3)**2
Let f = 5 - 3. Let t = -1360 - -1364. Factor -2*b + 117 - 113 + t*b + 0*b**2 - f*b**2.
-2*(b - 2)*(b + 1)
Let r(s) be the second derivative of -15/2*s**3 - 4 - 8*s - 5/12*s**4 - 35*s**2. What is k in r(k) = 0?
-7, -2
Let f = -9806 - -9811. Let w(x) be the first derivative of -x**5 + f*x - 5*x**2 + 5/2*x**4 + 0*x**3 - 8. Factor w(j).
-5*(j - 1)**3*(j + 1)
Let p = -4640 - -4640. Let i(v) be the second derivative of 1/2*v**3 + 1/14*v**7 + 17*v - 3/10*v**5 + 0*v**6 + 0*v**2 + p + 0*v**4. Find n, given that i(n) = 0.
-1, 0, 1
Let v(u) be the third derivative of -u**5/20 + 113*u**4 + 905*u**3/2 - 679*u**2. Let v(y) = 0. What is y?
-1, 905
Let u(n) be the third derivative of n**6/28 + 17*n**5/30 + 58*n**4/21 - 16*n**3/21 - 18*n**2 + 1. Factor u(c).
2*(c + 4)**2*(15*c - 1)/7
Let w = 12 + 13. Let r = -39 + 42. Factor 4*g**5 - 23*g**r + 5 + 31*g**3 + 25*g + g**5 + w*g**4 + 50*g**2 + 42*g**3.
5*(g + 1)**5
Let l(k) = -k**3 - k**2 + k - 2. Let f(o) = -2*o**5 - 10*o**4 + 5*o**3 + 33*o**2 - 3*o - 2. Let p(s) = 2*f(s) + 14*l(s). Solve p(v) = 0.
-4, -2, -1, 1
Suppose 92*v = 25 + 159. Let r(f) be the third derivative of 1/60*f**6 + 1/18*f**5 - 16/27*f**3 + 0*f + 0 + 4*f**v - 2/27*f**4. Factor r(o).
2*(o - 1)*(3*o + 4)**2/9
Let c(m) be the third derivative of -m**8/70560 + m**7/1764 - 2*m**6/315 - 2*m**5/5 - 61*m**2. Let d(a) be the third derivative of c(a). Solve d(r) = 0 for r.
2, 8
Let p = 25234/39 + -25228/39. Let -120/13*k**2 - p*k**3 - 2400/13*k - 16000/13 = 0. Calculate k.
-20
Factor 1/5*i**3 + 126/5 - 9*i - 2/5*i**2.
(i - 6)*(i - 3)*(i + 7)/5
Find p, given that 44/3*p - 29/3*p**3 + 16/3 - 5/6*p**4 + 2*p**2 + 3/2*p**5 = 0.
-2, -1, -4/9, 2
What is v in 48/7*v - 256/7 + 36/7*v**2 + 2/7*v**3 = 0?
-16, -4, 2
Let n(o) be the first derivative of -o**6/27 + 4*o**5/45 + o**4/6 - 16*o**3/27 + 4*o**2/9 + 769. Solve n(y) = 0.
-2, 0, 1, 2
Determine y, given that -40*y**2 - 96*y + 0 + 21/2*y**3 + 1/4*y**5 + 15/4*y**4 = 0.
-8, -2, 0, 3
Let 4978*d + 274 - 2*d**2 - 2631*d - 2619*d = 0. Calculate d.
-137, 1
Find s, given that 66*s**4 - 15/4*s**5 - 657/4*s**3 + 0 - 105*s - 339*s**2 = 0.
-1, -2/5, 0, 5, 14
Suppose -115*j - 213 + 777 = -21*j. Let g(p) be the second derivative of 1/10*p**j + 0*p**2 - 5/4*p**4 - 13*p - 3/2*p**3 + 0 - 3/20*p**5. Factor g(b).
3*b*(b - 3)*(b + 1)**2
Suppose -3*k + 15*k + 0*k = 3*k. Let f(z) be the first derivative of 8*z**2 + 2/3*z**6 + 43 - 5*z**4 - 12/5*z**5 + 4*z**3 + k*z. Suppose f(p) = 0. Calculate p.
-1, 0, 1, 4
Let w(q) = q - 2. Let k(p) = -2*p**3 + 4*p**2 + p + 10. Suppose 10*i + 2*m = 5*i, 4*i - 4*m = -28. Let a(j) = i*k(j) - 10*w(j). Solve a(n) = 0 for n.
-1, 0, 3
Let u(d) be the first derivative of d**3/12 - 349*d**2/4 + 697*d/4 + 3625. Find v, given that u(v) = 0.
1, 697
Suppose -2/5*d**2 + 16/5 - 14/5*d = 0. Calculate d.
-8, 1
Suppose 2*c + 921 = 925. Suppose -16 = -4*d - c*t, -3*t - 24 = d - 38. Factor -4/3*m + 4/3*m**3 - 1/3*m**d + 1/3.
(m - 1)*(m + 1)*(4*m - 1)/3
Factor -149 - 183*t - 309 + 13*t**3 - 114*t - 10*t**3 + 146 + 18*t**2.
3*(t - 8)*(t + 1)*(t + 13)
Let g(b) be the third derivative of b**8/120960 + b**7/630 - 49*b**6/4320 + 8*b**5/15 + b**4/24 - 6*b**2. Let j(o) be the third derivative of g(o). Factor j(a).
(a - 1)*(a + 49)/6
Suppose -d - 9 = 3*q, -2*d - 12 = -2*q + 6*q. Suppose r + 3*c + 1 = d, -14*r + 18*r - 2*c = 10. Factor -6/5 + 2/5*z**r + 4/5*z.
2*(z - 1)*(z + 3)/5
Factor 824/11*d - 78/11*d**2 - 1920/11 - 2/11*d**3.
-2*(d - 5)*(d - 4)*(d + 48)/11
Suppose p = -4*w + 7, 3*p - 2*w - 1143 = -1136. Let 0*l - 2/17*l**p + 0 + 8/17*l**2 = 0. Calculate l.
0, 4
Let n(c) be the second derivative of -33*c**5/100 + 48*c**4/5 - 783*c**3/10 - 729*c**2/5 + 140*c. Factor n(x).
-3*(x - 9)**2*(11*x + 6)/5
Suppose 4*g - 50 = 5*w, -3*w = -55*g + 60*g - 44. Suppose 3*i = 4*d - 1, 5*d - 6*i - g = -4*i. Factor 24/5*x**3 + 12/5*x**d + 0*x + 16/5*x**2 + 2/5*x**5 + 0.
2*x**2*(x + 2)**3/5
Let s be (9*2)/(-811 - -813). Let q(h) be the first derivative of -21/2*h**2 - 30 + s*h - 3/4*h**4 + 5*h**3. Solve q(v) = 0.
1, 3
Let a(k) = 6*k**3 + 7*k**2 - 2*k - 3. Let h(t) = 5*t + 8*t - 38*t**2 + 16 + 4*t - 31*t**3 - 8*t. Let r(g) = 22*a(g) + 4*h(g). Factor r(z).
2*(z - 1)*(z + 1)*(4*z + 1)
Let p = 27764 - 27762. Factor 5/3*s**4 - 20/3*s - 40/3 + 10*s**p + 25/3*s**3.
5*(s - 1)*(s + 2)**3/3
Let v = -64 + -287. Let x = v + 1759/5. Factor -2/5*h**2 + x*h - 2/5.
-2*(h - 1)**2/5
Let u = 108 - 104. Suppose -2*g - 4*d - 4 = -0*d, -u*g = 5*d - 1. Factor -19*j**4 + 4*j - 258*j**3 - j**g - 12*j**2 + 222*j**3.
-4*j*(j + 1)**2*(5*j - 1)
Let n(d) be the first derivative of -d**7/210 - 2*d**6/45 + d**5/30 + 2*d**4/3 + 62*d**3/3 + 2*d + 197. Let v(m) be the third derivative of n(m). Factor v(f).
-4*(f - 1)*(f + 1)*(f + 4)
Let t = -983 - -986. Let k(x) be the third derivative of 0*x - 14*x**2 + 0 + 1/150*x**5 - 2/15*x**4 + 16/15*x**t. Factor k(d).
2*(d - 4)**2/5
Let f(z) = 2*z**3 - 29*z**2 + 174*z + 5. Let i(u) = 12*u**3 - 160*u**2 + 960*u + 28. Let m(q) = 28*f(q) - 5*i(q). Determine r, given that m(r) = 0.
-6, 0, 3
Let i(x) be the third derivative of -x**7/1260 + x**6/60 - 7*x**5/120 - 49*x**4/72 - 3*x**2 - 399. Factor i(q).
-q*(q - 7)**2*(q + 2)/6
Suppose 2*y = 4, -2*y + 4 + 3 = p. Suppose -2*b - p*f = -11, 2*f = -5*b - 0*b + 22. Let 9*j**2 + j**3 + 4*j - 3*j - b*j - 11*j**2 = 0. What is j?
-1, 0, 3
Let y(n) be the third derivative of 0*n - 10*n**2 - 1/1470*n**7 - 1/10*n**5 + 11 - 17/42*n**4 - 20/21*n**3 - 11/840*n**6. Find x, given that y(x) = 0.
-5, -2
Let h be (-282)/90 + 10/30 + 3. Suppose 2*l - 4 = -5*r + 3, -5*l - 23 = -r. Factor 1/5*p - 1/5*p**r - h + 1/5*p**2.
-(p - 1)**2*(p + 1)/5
Let y(i) be the second derivative of i**5/40 + 7*i**4/24 - 19*i**3 - 88*i - 11. Find t, given that y(t) = 0.
-19, 0, 12
Let p(n) be the third derivative of 145 + 2*n**2 - 121/24*n**3 - 1/240*n**5 + 0*n - 11/48*n**4. Factor p(i).
-(i + 11)**2/4
Factor 1/5*v**2 + 147/5*v - 148/5.
(v - 1)*(v + 148)/5
Let b(q) be the second derivative of -q**6/45 - 434*q**5/3 - 1177225*q**4/3 - 5109156500*q**3/9 - 1385858700625*q**2/3 - 4*q - 945. Find n, given that b(n) = 0.
-1085
Let q(w) be the third derivative of w**8/1680 - 8*w**7/525 + 31*w**6/300 - 4*w**5/15 + 11*w**4/40 + 1589*w**2. Solve q(d) = 0.
0, 1, 3, 11
Let b be (9/(-5))/((-5)/25). Let o = 30 + -27. Factor b*z + 1 + 14*z**3 + z**5 - 3 - 3*z**4 - o*z**4 + 3*z**2 - 19*z**2.
(z - 2)*(z - 1)**4
Factor -1/5*n**2 - 6*n - 29/5.
-(n + 1)*(n + 29)/5
Suppose -63*d - 97 = -349. Let y(n) be the third derivative of -1/60*n**6 + d*n**3 + 0 - 1/30*n**5 + 2/3*n**4 + 0*n - 7*n**2. Factor y(g).
-2*(g - 3)*(g + 2)**2
Let q(c) = -3*c**2 + 47*c - 92. Let a(j) = 48*j**2 - 756*j + 1473. Let f be -28 + (-8 - (8 + -11)). Let s(m) = f*q(m) - 2*a(m). Factor s(t).
3*(t - 10)*(t - 3)
Suppose 12*f + 104*f + 2810 = 1065*f - 37. Factor -64 + 4/3*a**2 + 2/3*a**f - 64/3*a.
2*(a - 6)*(a + 4)**2/3
Let k be (-230)/(-1495)*(3 - -10). Let g(i) be the third derivative of 0 + 0*i + 7/3*i**3 - 1/30*i**5 + 20*i**k + 1/2*i**4. Solve g(d) = 0 for d.
-1, 7
Let n(x) be the third derivative of x**5/15 + 67*x**4/6 + 44*x**3 + 454*x**2. Let n(l) = 0. What is l?
-66, -1
Let b = -257299 - -257301. Factor 12/13 + 2/13*i**b + 14/13*i.
2*(i + 1)*(i + 6)/13
What is s in 2/11*s + 6/11*s**3 + 6/11*s**2 + 0 + 2/11*s**4 = 0?
-1, 0
Suppose -367*r + 342 + 392 = 0. Factor 4/5*n**r + 1/5*n**3 - 12/5*n