t -108*g + 1111 + 34*g + 258 + g**2 = 0.
37
Let k(l) be the third derivative of l**10/60480 - l**9/15120 - l**8/10080 - l**5/5 - 12*l**2. Let t(j) be the third derivative of k(j). Factor t(p).
p**2*(p - 2)*(5*p + 2)/2
Let 20*o**4 - 48*o**3 + 21*o**5 + 40*o + 114*o**3 + 78*o**2 + 36*o**2 - 26*o**2 - 19*o**5 = 0. What is o?
-5, -2, -1, 0
Let d = -512 - -515. Let s(x) be the third derivative of 2*x**2 + 0*x + 0 + 0*x**4 - 1/210*x**5 + 4/21*x**d. Factor s(f).
-2*(f - 2)*(f + 2)/7
Let b(k) be the second derivative of k**5/120 + k**4/24 + 9*k**2/2 + 22*k. Let u(o) be the first derivative of b(o). Factor u(w).
w*(w + 2)/2
Let o(h) be the third derivative of 0 + 3*h**2 + 3*h**3 + 1/2*h**4 + 1/30*h**5 + 0*h. Let o(d) = 0. Calculate d.
-3
Factor -872*v + 848*v - 3 + 2*v**2 + 25*v**2.
3*(v - 1)*(9*v + 1)
Let l = 67 + -65. Let b(t) be the first derivative of -2 - t**l + t + 1/3*t**3. Solve b(w) = 0 for w.
1
Let d(s) be the third derivative of -3*s**7/70 + 11*s**6/20 - 2*s**5 + 13*s**4/4 - 5*s**3/2 - 8*s**2 - 12. Determine c so that d(c) = 0.
1/3, 1, 5
Let z(p) be the second derivative of -p**8/16800 + p**7/2100 + p**6/200 - 9*p**5/100 + p**4 - 27*p. Let u(i) be the third derivative of z(i). Solve u(l) = 0.
-3, 3
Let s(d) = d**2 - 6*d. Let z be s(6). Factor 8*x**4 + z*x - 4*x**5 + 2*x**5 + 8*x**2 - 2*x - 12*x**3.
-2*x*(x - 1)**4
Let d(f) be the first derivative of f**6/39 - 8*f**5/65 - 6*f**4/13 - 4*f**3/39 + 11*f**2/13 + 12*f/13 - 244. Let d(q) = 0. Calculate q.
-1, 1, 6
Let s(q) be the third derivative of 1/18*q**4 + 0*q**5 + q**2 - 1/45*q**6 + 0*q**3 + 0*q + 0*q**7 + 1/252*q**8 + 0. Factor s(n).
4*n*(n - 1)**2*(n + 1)**2/3
Let g = -8431/11 - -767. Find h such that -g*h**3 + 26/11*h**2 - 26/11*h + 6/11 = 0.
1/3, 1, 3
Factor 6/5*m**2 + 7/5*m**3 + 0 + 1/5*m**4 + 0*m.
m**2*(m + 1)*(m + 6)/5
Let c(u) be the first derivative of -4/3*u**3 + 0*u - 4*u**2 - 7. Factor c(g).
-4*g*(g + 2)
Suppose -l - 12 = -4. Let v be l/40*(1 + -2). Factor 1/5*r**4 + 0*r - v*r**2 + 0*r**3 + 0.
r**2*(r - 1)*(r + 1)/5
Let n be -1 + 6/3 - -39. Let g = n + -38. Factor 2/7*d + 2/7 - 2/7*d**3 - 2/7*d**g.
-2*(d - 1)*(d + 1)**2/7
Let u be (-2)/4*(-16 - -16). Suppose -2*k = -g - 1, 6*k - 2*k + 3*g = 17. Factor -1/4*x**k - 1/2*x + u.
-x*(x + 2)/4
Let c be 632/2054*1/40. Let f(x) be the second derivative of -12*x - 2/39*x**3 - 1/26*x**4 + 0 - c*x**5 + 0*x**2. Let f(s) = 0. What is s?
-2, -1, 0
Let i(y) be the second derivative of -y**4/48 + 31*y**3/4 - 8649*y**2/8 + 162*y + 1. Factor i(b).
-(b - 93)**2/4
Let r be ((-48)/15 + 5)*(-40)/(-42). Let i(v) be the first derivative of 21/5*v**5 + 6*v**2 - 3*v**4 - r*v + 2 - 45/7*v**3. Suppose i(f) = 0. What is f?
-1, 2/7, 1
Suppose -r - 3*s + 3 = -4*r, -3*s = -2*r - 7. Let t(h) be the first derivative of 1/3*h**3 - 1/5*h**5 + 0*h**2 - 3 + 0*h**r + 0*h. Find l such that t(l) = 0.
-1, 0, 1
Let p(i) be the third derivative of 0 + 1/280*i**6 + 2/35*i**5 + 3/7*i**3 + 0*i + 13/56*i**4 + 14*i**2. Find v, given that p(v) = 0.
-6, -1
Let a(v) be the first derivative of -v**4/4 - 5*v**3/3 + 11*v**2 - 16*v - 44. Factor a(c).
-(c - 2)*(c - 1)*(c + 8)
Let v(x) = 177*x - 1943. Let d be v(11). Factor -d*o**3 - 2/3*o**5 - 8/3*o**2 - 8/3*o**4 - 2/3*o + 0.
-2*o*(o + 1)**4/3
Let c(s) = 2*s**4 - 8*s**2 + 2*s + 6. Let d(b) = 2*b**4 - 7*b**2 + 3*b + 5. Let v(p) = -6*c(p) + 4*d(p). What is a in v(a) = 0?
-2, -1, 1, 2
Let y(g) be the first derivative of g**3/9 + 17*g**2/6 + 14*g + 59. Factor y(c).
(c + 3)*(c + 14)/3
Let -1/5*l**2 - 88/5 - 46/5*l = 0. Calculate l.
-44, -2
Solve 2 + 2*p**3 + 4 - 13*p + 44*p + 44*p**2 + 13*p**3 = 0.
-2, -3/5, -1/3
Let a(k) be the second derivative of -k**4/72 + 11*k**3/18 - 10*k**2/3 + 8*k + 2. Factor a(c).
-(c - 20)*(c - 2)/6
Let 12*o**3 - 33*o**2 + 173*o - 277*o**4 + 280*o**4 - 155*o = 0. What is o?
-6, 0, 1
Determine g, given that -112 - 5*g**2 - 30*g + 32 - g - 9*g = 0.
-4
Let w(x) be the first derivative of 5*x + 4 + 77/4*x**4 + 6*x**2 - 16*x**3 - 147/20*x**5. Let o(c) be the first derivative of w(c). Let o(l) = 0. Calculate l.
2/7, 1
Let r(u) be the first derivative of 15*u**4/8 + 415*u**3/6 + 135*u**2/2 + 319. Solve r(l) = 0.
-27, -2/3, 0
Let y be -2 - 31/45*-3. Let h(b) be the third derivative of 0*b**3 + 0 + 1/60*b**6 - 5*b**2 - y*b**5 + 0*b**4 + 0*b. Factor h(i).
2*i**2*(i - 2)
Factor 0 - 10/3*f**4 - 8/3*f**2 - 16/3*f**3 + 0*f - 2/3*f**5.
-2*f**2*(f + 1)*(f + 2)**2/3
Let y be 4/2 - (-7 - -7). Factor 990*p**2 - 2904*p + 29*p**3 + y*p**4 - 58*p**3 - 67*p**3 + p**4 - 3993.
3*(p - 11)**3*(p + 1)
Let d(i) be the third derivative of -i**8/336 + 5*i**7/168 - 7*i**6/72 + i**5/8 + 9*i**3/2 - 27*i**2. Let b(h) be the first derivative of d(h). Factor b(t).
-5*t*(t - 3)*(t - 1)**2
Solve -10*w + 2/7*w**3 - 84 + 16/7*w**2 = 0 for w.
-7, 6
Let m(r) be the second derivative of 0 + 10*r - 1/60*r**4 + 0*r**2 + 0*r**3. Suppose m(q) = 0. What is q?
0
Let j(o) be the third derivative of o**5/160 - 27*o**4/64 - 29*o**3/8 - 83*o**2. Suppose j(t) = 0. What is t?
-2, 29
Let q be 11/(-33) + 290/87. Solve 9/4 - 3/4*x**q + 15/4*x**2 - 21/4*x = 0 for x.
1, 3
Let x(a) be the first derivative of 1/48*a**4 + 0*a**2 + 1/120*a**5 + 1/720*a**6 + 0*a + 7/3*a**3 + 5. Let v(c) be the third derivative of x(c). Factor v(y).
(y + 1)**2/2
Let s be (-105)/(-10)*(-3)/(-14). Suppose q + 5*b = 9, 5*q - 3*b - 4 = 13. Suppose 3/2*j**3 + 0 - 9*j**2 + 6*j - 3/4*j**5 + s*j**q = 0. Calculate j.
-2, 0, 1, 2
Factor 1/3*t**2 + 2209/3 - 94/3*t.
(t - 47)**2/3
Suppose -2*d + 0*d = -2*x - 14, 0 = -2*d + 3*x + 17. Suppose d*l - 5*y = 4, 0 = -l + 2*y - 0 - 2. Suppose l + 4*v - 6 + 0*v**2 + 2*v**2 = 0. Calculate v.
-2, 0
Let m(d) be the first derivative of d**8/2940 - d**7/1470 - d**6/315 - 14*d**3/3 - 7. Let i(h) be the third derivative of m(h). Find q such that i(q) = 0.
-1, 0, 2
Let a(c) = -4*c**3 - c + 4*c + 2*c**2 - 5*c**2 + 3*c**3. Let w be a(-4). Factor -2*g**5 - 18*g**w + g**5 + g + 20*g**4 - 2*g**2.
-g*(g - 1)**3*(g + 1)
Let o be 1*(30 - (-15)/(-5)). Determine j, given that -23 + 15*j**2 + 60 - 25 + 40*j - o*j**4 - 35*j**3 - 5*j**5 = 0.
-3, -2, -1, -2/5, 1
Suppose u - 254 = -4*y, 0 = -5*y - 0*u - u + 318. Let m = y + -62. Factor d + 0 - 5/2*d**m.
-d*(5*d - 2)/2
Let g be ((-1)/(-4))/(11/88). Factor s**3 + g*s**3 + 5*s**3 - 7*s**5 + 3*s**5 - 4*s.
-4*s*(s - 1)**2*(s + 1)**2
Suppose -3*i - 3*c + 194 = -4*i, 0 = -2*i - c - 402. Let x be i/35 + 0 + 4 + 2. Suppose 24/7 - x*d**2 + 16/7*d - 2/7*d**3 = 0. What is d?
-2, 3
Let t(u) be the first derivative of 1/5*u**3 - 13 + 1/10*u**2 - 3/5*u - 1/20*u**4. Let t(w) = 0. Calculate w.
-1, 1, 3
Let h(c) be the second derivative of 1/10*c**5 + 0 - 5/3*c**3 + 3*c**2 + 11*c + 1/6*c**4. Factor h(z).
2*(z - 1)**2*(z + 3)
Let b(f) = -3*f**2 + 9*f + 3. Let g be b(7). Let l = -81 - g. Let 0*r**4 + 0*r**2 + 0 + 0*r**3 + 2/13*r**5 + l*r = 0. Calculate r.
0
Let h(v) = -2*v**2 - v - 1. Let r(d) = 4*d**3 + 144*d**2 + 216*d + 116. Let y(n) = 20*h(n) + r(n). What is t in y(t) = 0?
-24, -1
Let j(d) be the first derivative of 25*d**6/27 + 28*d**5/9 - 331*d**4/18 - 584*d**3/27 - 20*d**2/3 - 244. Find r such that j(r) = 0.
-5, -2/5, 0, 3
Let g(r) = -4*r**3 - 2*r - 1. Suppose -2 = -i - 3. Let l be g(i). Determine z, given that -l*z + 2*z + 2*z - z**2 = 0.
-1, 0
Suppose -1/2*t**2 - 15/2 - 4*t = 0. What is t?
-5, -3
Let y(g) be the first derivative of -g**3/12 - 137*g**2/8 + 813. Factor y(i).
-i*(i + 137)/4
Let x be (-745)/30 - -21 - (-4 + 0). Factor 0 - x*c**2 - 11/6*c.
-c*(c + 11)/6
Factor -2*p + 45*p**2 - 185*p + 93 - p**3 + 50*p**2.
-(p - 93)*(p - 1)**2
Let p(x) be the first derivative of x**4/4 + x**3 - 2*x**2 + 74. Suppose p(g) = 0. Calculate g.
-4, 0, 1
Let w(f) = -3*f**2 + 24*f - 30. Let x be w(6). Let t(j) be the first derivative of -1/9*j**6 + 8/15*j**5 + 0*j + 0*j**2 + 4/9*j**3 - 5/6*j**4 - x. Factor t(k).
-2*k**2*(k - 2)*(k - 1)**2/3
Let p(i) be the third derivative of -i**8/1680 - i**7/840 + i**6/45 + i**5/10 + 11*i**3/3 - 16*i**2. Let x(y) be the first derivative of p(y). Factor x(a).
-a*(a - 3)*(a + 2)**2
Let m(o) be the third derivative of o**5/300 - 13*o**4/30 + 10*o**3/3 - 13*o**2 - 7. Suppose m(d) = 0. What is d?
2, 50
Let v = 23 - 18. Factor -7*m**5 + 8*m**3 - m**v - 4*m + 4*m**5.
-4*m*(m - 1)**2*(m + 1)**2
Let v(z) be the first derivative of 25*z 