- 4)*(i + 1)
Let i(g) be the first derivative of 9801/14*g**2 + 99/7*g**3 - 9 + 107811/7*g + 3/28*g**4. Factor i(r).
3*(r + 33)**3/7
Let y(i) = 4135*i + 16543. Let n be y(-4). Find k, given that 5/2*k**2 + 1/2*k**5 - 3/2*k**n - 1/2*k**4 - k + 0 = 0.
-2, 0, 1
Let u(r) = -29*r + 23. Let z be u(-6). Let k = z - 391/2. Factor 0 - c + k*c**2 - 1/2*c**3.
-c*(c - 2)*(c - 1)/2
Suppose -2*i - 3*d = -1, i = -i - 4*d - 4. Suppose 0 = i*z - 563 + 195. Factor -92*v - 3*v**2 - 13*v**2 + 48*v + z*v.
-2*v*(8*v - 1)
Let x(c) = c - 26. Let d be x(29). Factor -44*j**4 + 20*j**d - 10*j**2 - j + 8*j**4 - 53*j**3.
-j*(3*j + 1)**2*(4*j + 1)
Determine k so that 404*k - 2835 - 2925 + 5352 + 4*k**2 = 0.
-102, 1
Let c(j) be the first derivative of -3*j**4/16 - 317*j**3/2 - 74889*j**2/2 + 151686*j + 3265. Let c(p) = 0. What is p?
-318, 2
Suppose 45 = -2*x + 6*h - 3*h, 0 = 3*x + h + 95. Let c be ((-128)/(-60))/((12/x)/(-1)). Factor -1/3 + 4/3*j**5 + 25/3*j**3 + 7/3*j - c*j**4 - 19/3*j**2.
(j - 1)**3*(2*j - 1)**2/3
Let m(c) be the second derivative of -c**5/10 - 431*c**4/2 - 185761*c**3 - 80062991*c**2 + 278*c. Solve m(u) = 0 for u.
-431
Let l = 65815/148023 - 3/16447. Let -2/9*f**4 + 2/3*f**2 - l + 2/9*f**3 - 2/9*f = 0. Calculate f.
-1, 1, 2
Let f(k) = -8*k + 2. Let w be f(0). Factor 20*h + 9*h**3 - 18*h - w*h + 3*h**2.
3*h**2*(3*h + 1)
Let p(k) be the first derivative of k**6/8 - 57*k**5/20 + 99*k**4/16 + 19*k**3/4 - 51*k**2/4 + 499. Find i, given that p(i) = 0.
-1, 0, 1, 2, 17
Let v be 28/84 - 5*(-2)/6. Factor -104*p - 7*p**3 + p**4 + 44*p**v + 64*p - 7*p**3.
p*(p - 10)*(p - 2)**2
Let z(y) = 2*y**2 - 6*y - 8. Let d be z(5). Suppose -3 = 11*t - d*t. Suppose 12*v**2 + 131 - 131 + t*v**5 + 18*v**4 + 27*v**3 = 0. What is v?
-4, -1, 0
Factor 34/7*d**2 - 158/7*d - 2/7*d**3 + 18.
-2*(d - 9)*(d - 7)*(d - 1)/7
Let o(i) be the second derivative of 0*i**2 + 1/45*i**4 - 30 - 2/225*i**6 + 0*i**5 + 1/315*i**7 - 1/45*i**3 - i. Suppose o(y) = 0. Calculate y.
-1, 0, 1
Let m(k) be the first derivative of k**3/2 - 2133*k**2 + 3033126*k + 4736. Factor m(d).
3*(d - 1422)**2/2
Let v(x) = -5*x**4 - 98*x**3 + 600*x**2 - 1289*x + 898. Let k(p) = -5*p**4 - 96*p**3 + 600*p**2 - 1288*p + 896. Let o(h) = -9*k(h) + 8*v(h). Factor o(s).
5*(s - 2)**3*(s + 22)
Factor 50 + 2/9*s**2 - 452/9*s.
2*(s - 225)*(s - 1)/9
Let r(m) be the second derivative of m**8/672 + m**7/84 - m**6/240 - m**5/24 - 49*m**2/2 - 67*m. Let p(s) be the first derivative of r(s). Factor p(w).
w**2*(w - 1)*(w + 1)*(w + 5)/2
Determine c, given that 4232/3 + 8/3*c**3 + 246*c**2 + 5704*c = 0.
-46, -1/4
Factor -56/5*c**2 - 78*c - 612/5 + 2/5*c**3.
2*(c - 34)*(c + 3)**2/5
Let g = -301862 - -301862. Factor 0 + g*w**3 + 0*w + 7*w**4 - 4/7*w**2.
w**2*(7*w - 2)*(7*w + 2)/7
Let r(m) = 692*m**3 + 2077*m**2 + 1408*m + 5. Let c(q) = -690*q**3 - 2070*q**2 - 1408*q - 4. Let v(a) = 3*c(a) + 4*r(a). Factor v(p).
2*(p + 1)*(p + 2)*(349*p + 2)
Let k(n) be the second derivative of n**6/10 + 6*n**5/5 + 6*n**4 + 16*n**3 + 24*n**2 - 1164*n. What is u in k(u) = 0?
-2
Let t(b) be the third derivative of b**6/240 - 13*b**5/60 + 27*b**4/16 + 42*b**3 + 3298*b**2. Find w such that t(w) = 0.
-3, 8, 21
Let o(a) be the first derivative of 0*a - 18*a**2 + 1/6*a**3 + 26 - 1/120*a**6 - 1/8*a**4 + 1/20*a**5. Let l(m) be the second derivative of o(m). Factor l(g).
-(g - 1)**3
Let n(d) be the first derivative of -16 - 5/18*d**3 - 5*d + 35/12*d**2. Factor n(s).
-5*(s - 6)*(s - 1)/6
Determine o, given that -7*o**2 - o**2 + 228 - 8*o**2 + 33*o**2 + 4*o**2 - 411*o = 0.
4/7, 19
Determine p, given that 39/2*p + 124 + 1/2*p**2 = 0.
-31, -8
Let u(p) = -p**3 - 23*p**2 - 2*p - 44. Let w be (-2 + 1)/(1/23). Let n be u(w). Factor 7*o**2 - 4*o**n + 7*o**2 - 2*o**2 - 4*o**3.
-4*o**2*(o - 2)
Let o(d) = 37*d**2 - 18*d - 4. Let i be -1*(-2 + 3 + (-30)/(-6)). Let n(a) = 13*a**2 - 6*a - 1. Let y(x) = i*o(x) + 17*n(x). What is g in y(g) = 0?
-1, 7
Let t be (-60534)/2394 + 0 + 27. Let v = 0 - -2. Factor -20/7*a**v + t*a + 0.
-4*a*(5*a - 3)/7
Solve 8620/7*j + 5/7*j**4 - 308 - 9147/7*j**2 + 2678/7*j**3 = 0.
-539, 2/5, 1, 2
Let x(g) be the second derivative of -1/30*g**3 + 0*g**6 + 5*g + 1/50*g**5 + 0*g**2 + 12 - 1/210*g**7 + 0*g**4. Factor x(m).
-m*(m - 1)**2*(m + 1)**2/5
Let i(o) be the third derivative of -o**8/112 + 3*o**7/5 - 79*o**6/40 - 21*o**5/10 + 10*o**4 - 720*o**2 - o - 1. Suppose i(t) = 0. Calculate t.
-1, 0, 1, 2, 40
Let w(l) be the second derivative of l**7/126 - 16*l**6/9 + 2079*l**5/20 + 729*l**4/2 + 205*l - 2. Solve w(q) = 0.
-2, 0, 81
Let p be (2 - (2 - -1)) + 3. Find c such that -1944 - 29393*c**3 + 1926*c**3 - 19980*c - 40258*c**3 + 17640*c**4 - 66930*c**p - 1029*c**5 = 0.
-2/7, 9
Let v(c) = 6*c**3 - 1077*c**2 + 95034*c + 96117. Let x(a) = a**3 - 2*a**2 - 5*a - 2. Let t(h) = -v(h) + 3*x(h). Determine r so that t(r) = 0.
-1, 179
Let r be 1172/(-29007) + ((-1)/5 - (-57)/135). Solve 20/11*d**2 + 0*d + 24/11*d**4 + r*d**5 + 42/11*d**3 + 0 = 0.
-10, -1, 0
Let x(p) be the third derivative of -p**6/15 - 11*p**5/30 + 4*p**4/3 + 44*p**3/3 + p**2 - 3*p - 291. What is n in x(n) = 0?
-11/4, -2, 2
Let u(p) be the second derivative of 3/80*p**6 + 5/4*p**4 + 2 + p**2 + 32*p - 7/20*p**5 - 2*p**3. Factor u(s).
(s - 2)**3*(9*s - 2)/8
Let m be ((-120)/(-18))/((-5)/(-15)). Factor 1132*i + 45 - 1172*i - m*i**3 - 92*i**2 - 13.
-4*(i + 1)*(i + 4)*(5*i - 2)
Let u = -6/98593 + 197240/887337. Let n be ((-6)/(-8))/(27/8). Solve -u*r**2 - n*r**3 + 2/9*r + 2/9 = 0 for r.
-1, 1
Let b(p) = 4*p**2 - 5*p + 5. Let f be b(1). Let u = -4 + 15. Suppose -12*g**f + 8*g**2 + 29*g**3 + 2*g**3 - u*g**3 = 0. What is g?
-1/3, 0, 2
Let m = -2969 + 32679/11. Let v(q) be the first derivative of -12/11*q**3 - 2/55*q**5 - m*q**2 + 39 - 16/11*q - 7/22*q**4. Suppose v(o) = 0. What is o?
-2, -1
Suppose 0 = -4*x - 16, -3 = -y + 4*x + 15. Determine i, given that -2*i**5 - 63*i**2 - 21*i**4 - 72*i - 19*i**2 - 8*i**3 + i**4 - 66*i**3 - 38*i**y = 0.
-3, -2, 0
Let t be ((-96)/(-112))/(8/(-28)). Let a be 4/t*(-6)/16. Find m, given that 0*m - a*m**4 - 1/4*m**3 + 0 + 1/2*m**2 + 1/4*m**5 = 0.
-1, 0, 1, 2
Suppose -14*h + 19*h - 4*n = 39, 5*n = 5*h - 35. Let c(v) = -v**2 + 17*v - 63. Let t be c(h). Factor -4 + 7/4*r**2 - 1/4*r**t - 2*r.
-(r - 4)**2*(r + 1)/4
Let a(r) be the second derivative of r**7/168 - 41*r**6/30 + 9073*r**5/80 - 29187*r**4/8 + 26973*r**3/2 - 19683*r**2 + 2434*r. Factor a(d).
(d - 54)**3*(d - 1)**2/4
Let s(u) be the third derivative of -u**7/630 + 7*u**6/270 - 31*u**5/540 - 5*u**4/108 + 8*u**3/27 + u**2 + 46*u. Solve s(r) = 0 for r.
-2/3, 1, 8
Let a(b) = -8*b - 8. Suppose y + 31 = -2*d - 2*y, d = -y - 13. Let k be a(d). Factor 7*m**2 - m**2 + 2*m**2 - 2 - k*m + 50*m.
2*(m - 1)*(4*m + 1)
Let y(o) be the first derivative of o**7/2520 - o**6/360 + o**5/180 - 20*o**3/3 + o - 29. Let h(x) be the third derivative of y(x). Factor h(t).
t*(t - 2)*(t - 1)/3
Let y = 16032/56105 + -2/56105. Solve -y*a**2 + 15/7*a - 1/7*a**3 + 36/7 = 0 for a.
-3, 4
Let d = 3711 + -3685. Let g(u) be the first derivative of 1/11*u**2 + 0*u + d - 2/33*u**3. What is l in g(l) = 0?
0, 1
Let a(k) be the first derivative of 0*k**2 + 2/35*k**5 + 181 - 2/21*k**3 + 5/42*k**6 - 5/28*k**4 + 0*k. Let a(u) = 0. Calculate u.
-1, -2/5, 0, 1
Let l(v) = v**3 - 19*v**2 - 252*v + 42. Let f be l(28). Let u be (2/f)/((-8)/(-24)). Factor u*t**2 + 16/7*t + 64/7.
(t + 8)**2/7
Let a(r) be the third derivative of -r**6/1200 + r**5/300 - 8*r**2 + 13. Determine z so that a(z) = 0.
0, 2
Let a = 10480 - 10452. Let r(l) be the first derivative of -5*l**2 - a - l**5 + 0*l + 25/3*l**3 + 5/6*l**6 - 15/4*l**4. Factor r(h).
5*h*(h - 1)**3*(h + 2)
Let b(y) be the third derivative of -y**6/6 + y**5/2 - 35*y**4/24 - y**2 + 70*y. Let q(m) = -m**3 + m**2 - m. Let o(f) = -b(f) + 25*q(f). Factor o(c).
-5*c*(c - 1)*(c + 2)
Let j(x) be the third derivative of 0*x - 1/180*x**5 - 93*x**2 + 0*x**3 + 0 + 1/144*x**4 + 1/720*x**6. Find a, given that j(a) = 0.
0, 1
Let a(y) be the first derivative of -97/9*y**3 - 1/15*y**5 - 48*y + 36 - 11/6*y**4 + 44*y**2. Factor a(f).
-(f - 1)**2*(f + 12)**2/3
Suppose -4*o - 3*r - 3 = -9*o, 5*o - 5*r + 5 = 0. Let w = -2/55087 - -1267007/165261. Factor -4/3 - w*b**2 - 20/3*b - 7/3*b**o.
-(b + 1)*(b + 2)*(7*b + 2)/3
Let o(n) = 29*n**2 - 802*n - 316. Let z(f) =