tor m(o).
2*o*(o - 3)*(o - 1)/3
Let k be (-5)/(3 + -2) + -7 + 15. Let m = 1026/187 + -84/17. Let 6/11*d + m - 6/11*d**2 - 6/11*d**k = 0. Calculate d.
-1, 1
Let n(p) be the third derivative of -107*p**2 + 0*p - 20/21*p**3 - 3/70*p**5 + 2 + 1/420*p**6 + 2/7*p**4. Let n(i) = 0. Calculate i.
2, 5
Suppose 0 = -7*c + 190 - 190. Factor g**2 - 17*g**4 + c*g**4 + 16*g**4.
-g**2*(g - 1)*(g + 1)
Let 3280*d - d**2 + 67574 - 67574 - 4*d**2 = 0. Calculate d.
0, 656
Let g(q) = 10*q**3 - 1054*q**2 - 2929*q - 76. Let s(x) = -2*x**3 + 212*x**2 + 586*x + 16. Let d(c) = -4*g(c) - 19*s(c). Find w, given that d(w) = 0.
-3, 0, 97
Let q = -1283 + 685. Let y = 598 + q. Find u, given that -3*u**4 + y - 60/7*u**2 - 69/7*u**3 - 12/7*u = 0.
-2, -1, -2/7, 0
Let l(g) be the second derivative of -8/3*g**3 - 4*g**2 - 13*g - 5/6*g**4 - 1/10*g**5 - 1. Solve l(q) = 0 for q.
-2, -1
Factor -127*q**4 + 350*q**3 + 4*q**5 + 3*q**2 + 143*q**4 - 330*q**3 + 5*q**2.
4*q**2*(q + 1)**2*(q + 2)
Suppose 0 = 5*i + 549 - 874. Suppose 20*n - 125 = -i. Suppose 170/7*l + 212/7*l**2 + 116/7*l**n + 50/7 + 26/7*l**4 + 2/7*l**5 = 0. Calculate l.
-5, -1
Let b(h) be the second derivative of 0*h**2 + 3/2*h**6 + 2 - 38*h + 155/4*h**4 - 14*h**5 - 15*h**3. Solve b(w) = 0.
0, 2/9, 3
Let x(f) be the second derivative of f**9/1008 - f**8/280 - 19*f**7/840 - f**6/40 - 77*f**4/12 + f + 18. Let o(d) be the third derivative of x(d). Factor o(c).
3*c*(c - 3)*(c + 1)*(5*c + 2)
Let s(q) be the first derivative of -q**7/195 - q**6/130 + 8*q**5/195 + 261*q**2/2 + 227. Let x(c) be the second derivative of s(c). Factor x(y).
-2*y**2*(y + 2)*(7*y - 8)/13
Let p(q) be the second derivative of q**5/30 + 3*q**4/2 - 19*q**3/3 - 247*q**2/2 + 262*q. Let c(m) be the first derivative of p(m). Factor c(v).
2*(v - 1)*(v + 19)
Let p(q) = 2*q**2 - q + 10. Let m(t) = 44*t**2 + 16*t - 2. Let f(u) = -2*m(u) + 4*p(u). Factor f(v).
-4*(v + 1)*(20*v - 11)
Let p(l) be the third derivative of -1/1008*l**8 + 0*l + 1/105*l**7 + 1/90*l**5 - 150*l**2 + 2/45*l**6 + 0 - 5/24*l**4 - 4/9*l**3. Factor p(i).
-(i - 8)*(i - 1)*(i + 1)**3/3
Let f be 24/616 + (-3)/(-21) - ((-756)/(-66))/(-3). Let v = 8 + -5. Factor -4/9*b**f + 16/9*b**v - 16/9*b + 0 + 4/9*b**2.
-4*b*(b - 4)*(b - 1)*(b + 1)/9
Let k(q) be the first derivative of q**5/5 + 53*q**4/2 - 215*q**3/3 + 54*q**2 + 758. Find p such that k(p) = 0.
-108, 0, 1
Factor -74*g - 108*g + 80*g + 3*g**3 - 16*g**2 - 10 - 62 - 11*g**2.
3*(g - 12)*(g + 1)*(g + 2)
Let r = 406438 - 1219312/3. Let -2/3*q**5 + 8/3*q**4 + 0 + 0*q + r*q**3 - 8/3*q**2 = 0. Calculate q.
-1, 0, 1, 4
Let b(v) = 8*v**2 + 503*v - 1036. Let q be b(2). Determine o so that 176/7 + 184/7*o + 2/7*o**3 + 52/7*o**q = 0.
-22, -2
Let o(d) be the second derivative of 3*d**5/50 + 23*d**4/60 - 3*d**3/2 - 5*d**2 - 2*d + 22. Factor o(a).
(a - 2)*(a + 5)*(6*a + 5)/5
Let t(v) = v**2 + 17*v - 18. Let f(g) = g**2 + 34*g - 37. Let b(j) = 3*f(j) - 5*t(j). Let i be b(6). Let i*a**2 - 7*a**2 + 1 + 6*a - 9 = 0. Calculate a.
-4, 1
Determine p, given that 1666/3*p**3 - 5000/9*p - 200/9*p**2 + 2/9*p**5 + 0 + 200/9*p**4 = 0.
-50, -1, 0, 1
Suppose -5*q = -4*o + 58, -o + q + 2 = -5*o. Let g = 2/27 + 23/54. Factor -g*d**o - d + 0.
-d*(d + 2)/2
Suppose -5*p - 4*s + 79 = 0, -10*s = -15*s + 5. Let j be (-2)/(-3) + 35/p. Suppose -8*l**j + l**3 + 4*l - 12*l**2 + 8 + 4*l**4 + 3*l**3 = 0. Calculate l.
-1, 1, 2
Let g(o) be the third derivative of o**8/336 + 16*o**7/105 + 143*o**6/60 + 8*o**5 + 75*o**4/8 + 2*o**2 - 17*o. Factor g(t).
t*(t + 1)**2*(t + 15)**2
Let j = -27190 - -27195. Let w(q) be the third derivative of -1/840*q**7 + 0 + 36*q**2 - 1/60*q**j - 1/120*q**6 + 0*q**3 + 0*q + 0*q**4. Solve w(u) = 0 for u.
-2, 0
Let w(y) be the first derivative of y**6/960 + y**5/80 + 3*y**4/64 - y**2/2 + 82*y + 333. Let c(s) be the second derivative of w(s). Factor c(n).
n*(n + 3)**2/8
Factor 66/17 + 12/17*t**2 - 58/17*t.
2*(t - 3)*(6*t - 11)/17
Determine w, given that 4/7*w**5 - 36/7*w**4 - 4/7*w**3 + 0*w + 0 + 36/7*w**2 = 0.
-1, 0, 1, 9
Let l(m) = -m**3 + 12*m**2 - 656*m + 5663. Let x be l(9). What is c in -108/7*c**x + 33/7*c**3 - 3/7*c**4 + 48/7*c + 192/7 = 0?
-1, 4
Let k(n) = -n**4 + n**2 + n. Let s(v) = -4*v**4 - 10*v**3 - 6*v**2 + 3*v. Suppose -37*q - 39 = -24*q. Let f(a) = q*k(a) + s(a). Factor f(l).
-l**2*(l + 1)*(l + 9)
Let m(k) = 35*k**3 - 4*k**2 + 103*k - 142. Let i(w) = 45*w**3 - 5*w**2 + 105*w - 140. Let u(o) = 4*i(o) - 5*m(o). Solve u(c) = 0 for c.
-5, 2, 3
Let v(g) be the first derivative of 2*g**3/15 - 72*g**2 + 718*g/5 - 1283. Factor v(c).
2*(c - 359)*(c - 1)/5
Let x(m) = m**2 + 9*m - 25. Let g be x(-11). Let c(v) = 20*v + 10. Let y(t) = t**2 + 10*t + 6. Let r(i) = g*c(i) + 5*y(i). Determine o so that r(o) = 0.
0, 2
Let d be 3*394/78 + 4/(-26). Solve 3*b + 1 + 30*b**4 - 6*b**3 - d - 102*b**2 + 65 + 21*b**4 + 3*b**5 = 0 for b.
-17, -1, 1
Let x(f) be the second derivative of 0*f**2 - 11/6*f**3 + 0 + 21*f + 0*f**5 + 1/3960*f**6 - 1/264*f**4. Let p(m) be the second derivative of x(m). Factor p(w).
(w - 1)*(w + 1)/11
Let d(v) be the third derivative of -v**7/525 - v**6/150 + 2*v**5/75 + 2*v**4/15 - 4*v**2 + 3*v + 1. What is j in d(j) = 0?
-2, 0, 2
Suppose 11904*s - 658370*s**2 + 3*s**3 - 12288 + 1317003*s**2 - 658252*s**2 = 0. What is s?
-64, 1
Let t(a) be the first derivative of -a**5/20 + 3*a**4/8 + 2*a**3 + 2*a**2 + 10*a - 87. Let k(f) be the second derivative of t(f). Factor k(q).
-3*(q - 4)*(q + 1)
Let v be (576/162)/(-3*2/(-27)). Let x(a) be the first derivative of 1/15*a**6 + v + 0*a**3 + 0*a + 0*a**2 - 8/25*a**5 + 2/5*a**4. Factor x(n).
2*n**3*(n - 2)**2/5
Factor 65*m**2 - 1/7*m**3 + 453/7 - 907/7*m.
-(m - 453)*(m - 1)**2/7
Let t(r) be the first derivative of r**3/3 - 1572*r**2 + 2471184*r + 9119. What is x in t(x) = 0?
1572
Let -546*p - 640*p + 115 + 1076*p - 5*p**2 = 0. What is p?
-23, 1
Let o be 1/((-9)/14)*22*(-477)/24486. Factor o*k**2 + 0 - k + 1/3*k**3.
k*(k - 1)*(k + 3)/3
Let r(a) be the third derivative of -a**7/12 - 5*a**6/48 + 2*a**5/3 - 5*a**4/12 + 2*a**2 - 812. Find f such that r(f) = 0.
-2, 0, 2/7, 1
Suppose -64*u + 26 = -77*u. Let d be 5 - ((-175)/(-150) + u/(-4)). Factor 0 + d*q**2 + 2/3*q**3 + 4*q.
2*q*(q + 2)*(q + 3)/3
Let k = 5019 - 65137/13. Let r = 259/26 - k. Factor r*f**5 + 0*f**2 + 0 + f**3 + 0*f - 5/2*f**4.
f**3*(f - 1)*(3*f - 2)/2
Let j = 162 - 160. Factor 10 - 6*x**j - 3 + x**2 - 2.
-5*(x - 1)*(x + 1)
Let w(b) be the third derivative of -b**8/112 + 3*b**7/14 + 33*b**6/5 + 158*b**5/5 - 186*b**4 - 936*b**3 + 2425*b**2. Suppose w(h) = 0. What is h?
-6, -1, 2, 26
Let 100*h + 93*h - 386*h - 210 + 92*h + 5*h**2 + 96*h = 0. What is h?
-6, 7
Let b(p) be the second derivative of 0*p**2 + 4*p + 1/20*p**4 + 1/2*p**3 - 9. Let b(h) = 0. What is h?
-5, 0
Let k(s) = -s**3 + 4*s**2 + 27*s - 38. Let t be k(7). Let u = -1 - -5. What is n in n**5 - u*n**2 - 15*n - 4*n**t + 16*n + 5*n**3 + n**3 = 0?
0, 1
Let a(v) be the second derivative of 11/15*v**4 - 12*v**2 + 14*v - 7/300*v**6 + 0 + 1/30*v**5 + 4/5*v**3. Let p(f) be the first derivative of a(f). Factor p(q).
-2*(q - 3)*(q + 2)*(7*q + 2)/5
Let a(b) = -5835*b + 29178. Let t be a(5). Factor -5*h + t - 1/3*h**3 + 7/3*h**2.
-(h - 3)**2*(h - 1)/3
Factor 10/3*w**3 + 2/3*w**5 + 0 + 0*w**2 + 0*w - 7*w**4.
w**3*(w - 10)*(2*w - 1)/3
Let k(y) = 27*y - 14*y + 2*y**2 - 9 - 18*y. Let b(z) = 6*z**2 - 14*z - 28. Let o(h) = -3*b(h) + 8*k(h). Let o(f) = 0. Calculate f.
-2, 3
Let a(p) = -2*p**2 + 21*p + 16. Let n be a(11). Suppose -23*z = -25*z - 2, 0 = 3*x - n*z - 11. Solve -4/19 - 6/19*s**x + 10/19*s = 0 for s.
2/3, 1
Let k = -57862 - -57865. Factor -7/4*r**2 + 6 - 29/2*r + 5/4*r**k.
(r - 4)*(r + 3)*(5*r - 2)/4
Find u, given that 2/9*u**3 + 922/9 + 926/9*u**2 + 1846/9*u = 0.
-461, -1
Let c(y) be the second derivative of y**4/18 - 154*y**3/9 - 1022*y + 2. Factor c(x).
2*x*(x - 154)/3
Let z(t) be the first derivative of -18*t**5/55 + 17*t**4/22 + 76*t**3/33 - 68*t**2/11 - 16*t/11 - 2959. Solve z(k) = 0 for k.
-2, -1/9, 2
Let l = -9468 - -9470. Let i(w) be the second derivative of -4/15*w**6 + 0*w**3 + 0 + 2/3*w**4 + 20*w - 1/5*w**5 + 0*w**l + 2/21*w**7. Let i(u) = 0. What is u?
-1, 0, 1, 2
Find s, given that 135*s**3 + 24*s**4 + 0 + 324*s**2 + 567/2*s + 3/2*s**5 = 0.
-7, -3, 0
What is l in -28*l + 1/2*l**2 - 58 = 0?
-2, 