s(k) be the second derivative of 0 - 1/2160*k**6 - 1/6*k**3 + 1/36*k**4 + 0*k**2 + 1/240*k**5 - 2*k. Let q(h) be the second derivative of s(h). Factor q(d).
-(d - 4)*(d + 1)/6
Let d(m) be the first derivative of 83 + 5/3*m**3 + 3125*m - 125*m**2. Factor d(h).
5*(h - 25)**2
Let k = -1890 - -9453/5. Let l(v) = v**2 - 14*v + 2. Let g be l(14). Factor k*f**g - 3/5*f + 3/5*f**3 - 3/5.
3*(f - 1)*(f + 1)**2/5
Let v(w) be the first derivative of -w**6/24 - 3*w**5/40 - 7*w**3/3 + 3*w**2 + 227. Let o(i) be the third derivative of v(i). Factor o(u).
-3*u*(5*u + 3)
Let t(k) = -k**2 + 862*k - 34436. Let r be t(42). Suppose -324/5*a**2 - 288/5*a + 192/5 + 27/5*a**5 + 207/5*a**r + 336/5*a**3 = 0. Calculate a.
-4, -1, 2/3
Suppose -2*d + 22 = 4. Let w be 14/63 - (-79)/d. Solve w*r + 11 + r + r**2 + 2*r = 0.
-11, -1
Suppose -237*s = -303*s - 0 - 0. Let c(k) be the first derivative of 2/51*k**3 + s*k - 2/17*k**2 + 12 - 146/85*k**5 + 35/51*k**6 + 39/34*k**4. Solve c(m) = 0.
-1/5, 0, 2/7, 1
Let t = -2/2079 + 2972/2079. Let s be 3 + (189/(-3))/(-9) + 3536/(-364). Factor t - s*u**2 + 8/7*u.
-2*(u - 5)*(u + 1)/7
Let s be 3*(-7063)/(-3024) - 7. Let c(u) be the third derivative of -s*u**6 + 1/72*u**5 + 0*u**3 - 9*u**2 + 0 + 0*u**4 + 0*u. Factor c(v).
-5*v**2*(v - 1)/6
Let q(i) be the third derivative of i**6/80 + 9*i**5/5 + 275*i**4/16 + 51*i**3 + 1721*i**2. Solve q(u) = 0.
-68, -3, -1
Suppose -6*t + 70 = 4*t. Suppose 0 = 3*u - k - 7, u - 12 + t = 3*k. Suppose -8*r**3 + 4*r + 23*r**3 - 19*r**3 - 12*r**4 + 12*r**u = 0. Calculate r.
-1, -1/3, 0, 1
Let o(x) = 3*x**4 - 49*x**3 + 24*x**2 - 23*x + 5. Let y(r) = -2*r**4 + 42*r**3 - 26*r**2 + 22*r - 4. Let b(d) = -4*o(d) - 5*y(d). Let b(p) = 0. What is p?
-9, 0, 1
Let -l**2 + 2 + 32*l - 10*l - 7*l - 28 = 0. Calculate l.
2, 13
Let c(t) be the first derivative of -t**6/12 + 19*t**5/5 - 99*t**4/2 + 108*t**3 - 1344. Solve c(n) = 0 for n.
0, 2, 18
Suppose 0*y = 6*y + 12. Let q be 4 + 20 + 4 + (-5 - y). Suppose 51*t**2 - 3*t - 3*t + 9*t**5 - 17*t - 5*t - 11*t**4 - q*t**3 + 4 = 0. What is t?
-2, 2/9, 1
Suppose 22*g + y = 20*g - 8, 4*y + 32 = 4*g. Suppose g*w - 5/4*w**3 + 0 - 55/4*w**2 = 0. What is w?
-11, 0
Let s = 384 - 382. Let j**2 - 9*j**3 + 2*j**3 - 6*j**2 + 5*j**4 + 7*j**s + j**2 - j**5 = 0. What is j?
0, 1, 3
Let y(w) = -2*w**3 - 3*w**2 + 3*w. Suppose 3*u + 3 = 15. Let p = u + -7. Let d(a) = -2*a**3 - 4*a**2 + 4*a. Let z(s) = p*d(s) + 4*y(s). Factor z(q).
-2*q**3
Let z(v) be the first derivative of v**3/2 + 198*v**2 + 440. Find u such that z(u) = 0.
-264, 0
Determine c, given that 84*c - 24 + 77 - 6 - 7 + 48*c**2 + 4*c**3 = 0.
-10, -1
Let f(j) be the second derivative of j**7/504 + 7*j**6/72 + 13*j**5/24 - 25*j**4/4 - 80*j. Let x(b) be the third derivative of f(b). Solve x(q) = 0.
-13, -1
Let t(r) be the second derivative of -r**6/720 - 7*r**5/120 - 49*r**4/48 + 19*r**3/2 + r**2 + 29*r - 2. Let a(z) be the second derivative of t(z). Factor a(c).
-(c + 7)**2/2
Suppose -914290*t**2 + 914330*t**2 - 48*t**3 - 28*t**3 + 4*t**5 + 32*t**4 = 0. What is t?
-10, 0, 1
Let k(c) be the first derivative of -c**6/480 + 17*c**5/20 - 289*c**4/2 + 3*c**3 - c - 212. Let w(r) be the third derivative of k(r). Factor w(n).
-3*(n - 68)**2/4
Suppose -2*s - 1812 = 4*a, -a + 909 = -7*s + 6*s. Let b = s - -911. Let 9/5*h**b + 3/5 + 12/5*h**4 - 3*h**2 - 9/5*h = 0. What is h?
-1, 1/4, 1
Let i(o) be the third derivative of o**7/105 + 119*o**6/30 - 482*o**5/15 + 242*o**4/3 + 2278*o**2. Factor i(c).
2*c*(c - 2)**2*(c + 242)
Let u(m) be the first derivative of m**3/15 + 37*m**2/5 + 177*m + 7289. Factor u(s).
(s + 15)*(s + 59)/5
Let s(x) = 11*x**2 - 25*x + 503. Let z(f) = -2*f**2 + 3*f - 84. Let y(t) = -6*s(t) - 34*z(t). Find m such that y(m) = 0.
-27, 3
Let s(y) = 128*y - 126*y + 8 - 10. Let z be s(3). Factor 0*u**2 + 1/2*u**3 - 2/3*u + 1/6*u**z + 0.
u*(u - 1)*(u + 2)**2/6
Let f(u) = u**2 - 46. Let l be f(7). Suppose -4*g = 3*v - 26, l*v + 5*g = -9 + 40. Factor -5/6*m**v - 5/6*m + 5/6 + 5/6*m**3.
5*(m - 1)**2*(m + 1)/6
Let r(m) be the second derivative of -3*m - 1/18*m**4 + 1/3*m**3 + 5 + 4/3*m**2. Factor r(i).
-2*(i - 4)*(i + 1)/3
Let i be 36*58/3654*7. Determine q so that 10/3*q**i - 48/5*q - 12*q**3 + 242/15*q**2 + 32/15 = 0.
4/5, 1
Factor -2560*n**2 + n**5 + 5119*n**2 + 27*n**4 - 2559*n**2 - 58*n**3.
n**3*(n - 2)*(n + 29)
Let v(u) = 4*u**3 + 32*u**2 + 28*u + 12. Let f(m) = m**2 + m - 1. Suppose 3*b + 42 = 4*g, 2*g = 5*g - 4*b - 28. Let r(j) = g*f(j) + v(j). What is w in r(w) = 0?
-10, -1, 0
Let s(h) be the first derivative of -1/3*h**3 + 3*h + 25 + 5/2*h**2. Let u(m) = -2*m**2 + 16*m + 10. Let j(x) = 8*s(x) - 3*u(x). Factor j(b).
-2*(b + 1)*(b + 3)
Let b be ((-5268)/(-2634))/(10/192 + 0). Suppose -44/5*i**2 - b*i + 576/5 - 2/5*i**3 = 0. What is i?
-12, 2
Let m(i) be the second derivative of 5*i**5/4 + 415*i**4/3 - 1370*i**3/3 - 680*i**2 - 3*i - 447. Determine r so that m(r) = 0.
-68, -2/5, 2
Let l(r) be the second derivative of -r**4/3 + 580*r**3/3 - 2850*r**2 + 96*r - 22. Factor l(q).
-4*(q - 285)*(q - 5)
Let g be (8/((-144)/333) + 14)*20/(-9). Let r(l) be the second derivative of -g*l + 1/3*l**4 + 0 + 0*l**3 - 8*l**2. Let r(j) = 0. Calculate j.
-2, 2
Let u(l) be the first derivative of -l**3/15 + 999*l**2/5 - 998001*l/5 - 1525. Suppose u(q) = 0. Calculate q.
999
Let z(n) be the second derivative of -n**6/15 - 59*n**5/10 + n**4/2 + 175*n**3/3 - 118*n**2 + 128*n + 15. Factor z(m).
-2*(m - 1)**2*(m + 2)*(m + 59)
Let m(v) be the third derivative of 0*v + 1/54*v**4 - 8/27*v**3 + 73*v**2 + 0 + 1/270*v**5. Factor m(y).
2*(y - 2)*(y + 4)/9
Factor 256/3*h + 2/9*h**2 - 258.
2*(h - 3)*(h + 387)/9
Let s(h) = -393*h**3 + h**2 + 2*h + 1. Let o be s(-1). Let w = -2749/7 + o. Find m such that 2/7*m**3 + 8/7 - w*m**2 - 8/7*m = 0.
-2, 1, 2
Let p(m) be the first derivative of 2*m**3/51 - 9*m**2/17 - 44*m/17 - 752. Find j, given that p(j) = 0.
-2, 11
Determine m so that -1/8*m**3 - 79/8*m**2 + 501/8*m - 765/8 = 0.
-85, 3
Let k(w) = -11*w**4 - 118*w**3 - 315*w**2 - 305*w - 100. Let s(d) = -9*d**4 - 117*d**3 - 315*d**2 - 305*d - 100. Let o(m) = 2*k(m) - 3*s(m). Factor o(v).
5*(v + 1)**3*(v + 20)
Find a such that 720*a**3 - 1623602/5 - 1616396/5*a**2 - 2/5*a**4 - 648720*a = 0.
-1, 901
Let y(d) be the third derivative of -d**5/390 - 25*d**4/156 - 8*d**3/13 + 949*d**2. Factor y(g).
-2*(g + 1)*(g + 24)/13
Factor 29/2*s**2 + 5 - 39/2*s.
(s - 1)*(29*s - 10)/2
Let l(s) be the first derivative of -s**5/20 + s**4/16 + 3*s**3/4 - 9*s**2/8 + 4115. Suppose l(z) = 0. Calculate z.
-3, 0, 1, 3
Let o = -27721/66 - -420. Let a = 467/330 + o. Suppose g - a*g**2 + 2/5 = 0. What is g?
-2/7, 1
Let w(t) be the second derivative of -1/5*t**5 - 17/3*t**4 - 2 - 23*t + 74/3*t**3 - 38*t**2. Suppose w(l) = 0. Calculate l.
-19, 1
Let a(x) be the first derivative of -85 + 30/7*x + 9/28*x**4 + 111/14*x**2 + 22/7*x**3. Factor a(u).
3*(u + 2)*(u + 5)*(3*u + 1)/7
Solve 6792*u**2 + 6*u + 6794*u**2 - 13587*u**2 - 5 = 0 for u.
1, 5
Let c(g) = -164*g - 2128. Let a be c(-13). Let m(u) be the third derivative of 1/210*u**5 + 0*u**a + 0*u + 0 + 26*u**2 - 4/21*u**3. Factor m(s).
2*(s - 2)*(s + 2)/7
Let p(i) be the third derivative of i**7/1050 - i**6/75 + 13*i**5/300 - i**4/20 - 2056*i**2. Find v such that p(v) = 0.
0, 1, 6
Suppose 9 - 8 = 3*f + d, 4*f - 4*d = 28. Factor -17*r + 7*r**f - 79 + 9*r**2 + 49 - 11*r.
2*(2*r - 5)*(4*r + 3)
Let v(z) = -36*z**3 + 436*z**2 + 247*z - 3825. Let w(c) = -7*c**3 + 87*c**2 + 49*c - 765. Let p(m) = 2*v(m) - 11*w(m). Factor p(d).
5*(d - 17)*(d - 3)*(d + 3)
Factor 16*i + 1/2*i**2 + 78.
(i + 6)*(i + 26)/2
Let d be ((-1192)/(-24) - -5) + -38. Let d + 1/3*c**3 - 8/3*c**2 + 5/3*c = 0. What is c?
-2, 5
Let l(t) = -1 + 14*t - 2*t**2 + 5*t**2 - 4*t**2 - 10*t. Let j(o) = 2 - 39*o**2 + 23*o**2 - 5*o + 17*o**2 - 1. Let i(y) = 2*j(y) + 3*l(y). Factor i(z).
-(z - 1)**2
Let h(c) = 312*c - 1. Let a be h(1). Let z = 313 - a. Factor -4/5*n**z - 4*n - 16/5.
-4*(n + 1)*(n + 4)/5
Let z(k) be the third derivative of -k**7/210 - k**6/60 + 23*k**5/60 + 5*k**4/2 + 3*k**2 + 117. Factor z(a).
-a*(a - 5)*(a + 3)*(a + 4)
Let h(a) = 6*a**3 - 5*a**2 + 4*a + 4. Let s(m) = 12*m**3 - 12*m**2 + 9*m + 9. Let y(p) = -9*h(p) + 4*s(p). Factor y(k).
-3*k**2*(2*k + 1)
Let x be 18/45 - 7943/(-5). Factor -801 + o**2 - 