the third derivative of -2/9*p**3 + f*p**5 + 0*p + 0 - 1/108*p**4 + 9*p**2. Determine g so that q(g) = 0.
-2, 3
Let s = -80/11 + 411/55. Let m(j) be the second derivative of 0 + 2*j**3 + s*j**5 - 2*j**2 - j**4 + 2*j. Factor m(o).
4*(o - 1)**3
Let o(b) be the first derivative of 0*b**2 + b**4 + 8*b**3 - 4/5*b**5 + 0*b - 159. Factor o(w).
-4*w**2*(w - 3)*(w + 2)
Factor -837/4 + 3/4*d**2 + 135/2*d.
3*(d - 3)*(d + 93)/4
Let p be ((315/75)/(-7))/(2/10 - 1). Solve 0 - 9/2*r - 15/4*r**2 - p*r**3 = 0.
-3, -2, 0
Factor -17/2 - 87/4*v - 53/4*v**2.
-(v + 1)*(53*v + 34)/4
Factor -1/6*k**2 + 67/2 + 32/3*k.
-(k - 67)*(k + 3)/6
Let y(b) be the third derivative of 9*b**8/224 + 2*b**7/5 - 51*b**6/80 - 7*b**5/20 + 12*b**2 - 17*b. Solve y(f) = 0 for f.
-7, -2/9, 0, 1
Suppose -151*w = 4*v - 147*w - 144, 0 = -4*v + 2*w + 138. Factor -13/2*o**2 - v*o + 98 - 1/4*o**3.
-(o - 2)*(o + 14)**2/4
Let t(y) = 6*y**2 - 884*y - 898. Let h(a) = 8*a**2 - 879*a - 899. Let l(f) = 2*h(f) - 3*t(f). Factor l(c).
-2*(c - 448)*(c + 1)
Let k(r) = 8*r + 44. Let a be k(-5). Factor 166*z + 2 - 6 - a*z**2 - 174*z.
-4*(z + 1)**2
Let v(t) be the first derivative of 0*t**2 - 1/5*t**3 + 4/5*t + 99 + 1/20*t**4. Let v(o) = 0. Calculate o.
-1, 2
Let a(v) = -4*v - 136. Suppose -3*b - 99 = -5*w + 8*w, w = -2*b - 32. Let i be a(w). Find c, given that 2/9*c**5 + 0*c**4 + 0*c + i - 2/3*c**3 + 4/9*c**2 = 0.
-2, 0, 1
Suppose -4*a + 4*s + 108 = 0, 3*a - 5*s = 39 + 48. Suppose 5*i + a - 44 = 0. Solve 4*o - 3*o**i - o**2 + 4*o**2 + 24*o**3 - 18*o**3 - 10*o = 0 for o.
-1, 0, 1, 2
Let r(j) be the second derivative of -j**8/4480 + 3*j**7/2240 - j**6/480 - 5*j**3/6 - j**2 + 2*j - 5. Let c(x) be the second derivative of r(x). Solve c(h) = 0.
0, 1, 2
Suppose 7616 = 17*n - 51*n. Let g be n/32 + (-33)/(-4). Solve -3 + 3/4*l**3 + 13/4*l**2 + 1/4*l**5 - 2*l - g*l**4 = 0 for l.
-1, 2, 3
Factor -222/7*w**2 + 435/7*w + 3/7*w**3 - 216/7.
3*(w - 72)*(w - 1)**2/7
Let q(g) be the first derivative of -g**5/20 - 3*g**4/8 + 2*g**3 - g**2 + 13*g + 6. Let b(u) be the second derivative of q(u). Determine a so that b(a) = 0.
-4, 1
Let k = -177 + 207. Let j be (k/135)/(2/(-18)*-4). Determine r, given that j*r**2 + 3/2 - 2*r = 0.
1, 3
Let o(c) be the third derivative of -1/20*c**5 - 1/1260*c**7 + 3/4*c**3 + 15*c - 1/90*c**6 + 0*c**4 + 10*c**2 + 0. Suppose o(g) = 0. Calculate g.
-3, 1
Solve -3/4*l**4 - 3/2*l**2 - 60*l + 225/4 + 6*l**3 = 0 for l.
-3, 1, 5
Let b = 4996 + -24978/5. Suppose 2/5*f**2 - 2/5*f**5 - b*f**4 + 0 + 2/5*f**3 + 0*f = 0. What is f?
-1, 0, 1
Suppose 0 = -3000*k + 2995*k - 5*h + 70, 0 = 4*k - 5*h + 43. Let v be -3 - 9/6*-3. Factor 0*y + 0 + 3/2*y**4 + v*y**2 + k*y**3.
3*y**2*(y + 1)**2/2
Let l be 6/20*(-37)/(-111)*20/3. Factor l*g**3 + 16/3*g - 4*g**2 + 0.
2*g*(g - 4)*(g - 2)/3
Let f = -1171479 + 1171482. Factor 2/5*r**4 + 6*r**f + 64*r + 156/5*r**2 + 192/5.
2*(r + 1)*(r + 4)**2*(r + 6)/5
Let m(z) = -8*z**3 - 255*z**2 + 1733*z + 1966. Let f(x) = 5*x**3 + 170*x**2 - 1155*x - 1310. Let i(t) = -7*f(t) - 5*m(t). Solve i(d) = 0.
-22, -1, 6
Let q be 2 - -8 - (-5 + 13). Suppose 0 = 4*i + 12 - 8, -q*i = -4*s + 2. Factor s + 2/7*k**2 - 1/7*k**5 + 4/7*k**4 + 0*k - 5/7*k**3.
-k**2*(k - 2)*(k - 1)**2/7
Let b(l) = -l**2 + 65*l - 211. Let z be b(22). Let x be 7/(-2)*(-420)/z. Solve 10/13*r + 8/13 + 2/13*r**x = 0 for r.
-4, -1
Let a(h) = h**4 - h**2 + h. Let d = -157 - -158. Let z(b) = 8*b**4 + 2*b**3 - 8*b**2 + 4*b. Let t(u) = d*z(u) - 6*a(u). Factor t(s).
2*s*(s - 1)*(s + 1)**2
Suppose 0 = 24*c - 17*c. Let j(a) = a**2 + 18*a - 7835. Let s be j(80). Let 0 + 22/13*f**s - 4/13*f**2 - 48/13*f**4 + c*f + 30/13*f**3 = 0. What is f?
0, 2/11, 1
Let v(w) be the third derivative of -11*w**6/240 + 21*w**5/5 + 203*w**4/16 + 47*w**3/6 - 887*w**2. Find g, given that v(g) = 0.
-1, -2/11, 47
Let z(w) be the second derivative of w**6/1440 - 17*w**5/240 + 289*w**4/96 - 28*w**3/3 + 3*w + 21. Let f(r) be the second derivative of z(r). Factor f(g).
(g - 17)**2/4
Suppose 0 = -9*t + 16*t - 567. Factor -31*z + 4261*z**4 - 32*z - 27 - 4249*z**4 - t*z**3 + 159*z**2.
3*(z - 3)**2*(z - 1)*(4*z + 1)
Let s(b) = 2*b**2 - 19*b + 22. Let n be s(2). Let m be (n/((-168)/15))/(12/21). Solve 1/4*v**2 + 1 + m*v = 0.
-4, -1
Let x be -11 - (-19 + (-756)/(-112)). Suppose -25/2*h - 45/4 - x*h**2 = 0. Calculate h.
-9, -1
Suppose 4 = 4*r - 3*t + 8, 0 = -2*r - 5*t + 24. Let o(f) be the second derivative of 0 + 0*f**r - 16*f - f**3 - 1/40*f**6 - 3/4*f**4 - 9/40*f**5. Factor o(l).
-3*l*(l + 2)**3/4
Let z be (16*8/36 - (-80)/180) + 18. Let s(c) be the third derivative of 0*c + z*c**2 - 1/120*c**5 + 0 - 1/72*c**4 + 0*c**3. Factor s(b).
-b*(3*b + 2)/6
Let l(z) = 36*z**2 + 441*z. Let g(f) = 5*f**2 + 64*f. Let p(k) = -15*g(k) + 2*l(k). Factor p(d).
-3*d*(d + 26)
Let r(g) be the second derivative of 0 + 1/18*g**3 + 1/36*g**4 - 51*g - g**2. Factor r(f).
(f - 2)*(f + 3)/3
Let c(g) be the first derivative of -2/5*g**5 + 620/9*g**2 - 2042/27*g**3 + 31/3*g**4 - 200/9*g - 137. Factor c(q).
-2*(q - 10)**2*(3*q - 1)**2/9
Factor -5*l**2 + 6*l**2 - 6933 + 4*l**2 - 2271 - 9200*l - l**2.
4*(l - 2301)*(l + 1)
Suppose -251057 - 1632*w + 251057 + 4*w**2 = 0. Calculate w.
0, 408
Solve -k**2 - 2340 - 25641*k - 6*k**2 + 26061*k - 2*k**2 + 4*k**2 = 0.
6, 78
Let q(z) = z**4 + z**3 - z**2 + 1. Let o be (-4)/9 + 20/(-36). Let t(x) = x**5 - x**4 + 3*x**3 + x**2 - 2*x + 2. Let n(a) = o*t(a) + 2*q(a). Factor n(y).
-y*(y - 2)*(y - 1)**2*(y + 1)
Let x(p) be the third derivative of -p**8/2240 + p**6/240 + p**4/12 - 7*p**3/2 + 32*p**2. Let h(i) be the second derivative of x(i). Factor h(v).
-3*v*(v - 1)*(v + 1)
Let z(k) = k**5 + k**4 - 3*k**3 - k + 9. Let g(u) = -8*u**5 + 6*u**4 + 22*u**3 - 72*u**2 + 4*u + 6. Let b(v) = g(v) + 6*z(v). Suppose b(c) = 0. What is c?
-2, -1, 1, 3, 5
Solve 26*h**2 + 13*h**4 - 7*h**4 + 8*h**3 + 26*h**2 - 58*h**2 - 7*h - h**5 = 0 for h.
-1, 0, 1, 7
Suppose -573*y + 8355 = -3105. Factor -4/3*t**2 - 56/3*t + y.
-4*(t - 1)*(t + 15)/3
Let o = 377588 + -269975528/715. Let z = 2/65 - o. Factor z*s**2 - 6/11*s + 4/11.
2*(s - 2)*(s - 1)/11
Let b(k) be the third derivative of 0*k + 1 + 11/48*k**4 - 1/30*k**5 - 5*k**2 - 1/240*k**6 - 1/2*k**3. Factor b(z).
-(z - 1)**2*(z + 6)/2
Let t(c) be the second derivative of c**5/12 - 1021*c**4/18 - 1229*c**3/18 + 409*c**2/3 + 17*c - 213. Factor t(o).
(o - 409)*(o + 1)*(5*o - 2)/3
Let m(y) = -y**3 + 8*y**2 + y - 6. Let r be m(8). Suppose r - 8 = -2*a. Factor -102*n**2 + 102*n**2 - 4*n**a - 14*n**4.
-2*n**3*(7*n + 2)
Suppose -31582 - 2818 = -50*j. Let p = 693 - j. Solve -2/13*l**p + 14/13*l**2 + 10/13*l**4 - 4/13*l - 18/13*l**3 + 0 = 0.
0, 1, 2
Suppose 0 = -197*s + 221*s. Let i(o) be the third derivative of 1/30*o**4 + 0 + 4/15*o**3 + s*o - 1/150*o**6 - 2/75*o**5 - o**2. Find r such that i(r) = 0.
-2, -1, 1
Suppose 28 = -0*m + 14*m. Suppose -k - 7 = -5*v, -3*v - m*v = -2*k + 1. Factor -5*a + a + a**2 + 3*a - k - a.
(a - 4)*(a + 2)
Let z = -603 - -599. Let h be ((-8)/18)/(z/6). Factor -2/3*v**2 + 0*v + h*v**3 + 0.
2*v**2*(v - 1)/3
Let x(o) = -2*o + 29. Let n be x(13). Factor 2697 + 2*t - 2707 + 5*t**2 + n*t.
5*(t - 1)*(t + 2)
Let x(l) = -4*l**3 - 120*l**2 - 228*l - 107. Let r(g) = 2*g**3 + 60*g**2 + 114*g + 54. Let s(a) = 10*r(a) + 4*x(a). Factor s(k).
4*(k + 1)**2*(k + 28)
Let h(r) = 10*r**3 + 246*r**2 - 1211*r. Let s(j) = 5*j**3 + 131*j**2 - 606*j. Let o(p) = -6*h(p) + 11*s(p). Find g such that o(g) = 0.
-15, 0, 8
Let g(i) be the first derivative of 5/3*i**3 - 90*i**2 + 0*i + 234. Factor g(n).
5*n*(n - 36)
Let l(v) be the third derivative of v**7/11340 + v**6/135 - 5*v**5/108 + v**4/8 - 4*v**3/3 + 146*v**2. Let j(m) be the second derivative of l(m). Factor j(i).
2*(i - 1)*(i + 25)/9
Let x(u) be the third derivative of -u**8/336 + u**7/35 + u**6/40 - 14*u**5/15 + 2*u**4 + 490*u**2. Factor x(b).
-b*(b - 4)**2*(b - 1)*(b + 3)
Let g(m) be the second derivative of m**6/15 - 8*m**5/5 + 40*m**4/3 - 128*m**3/3 + 2*m + 1467. Determine z, given that g(z) = 0.
0, 4, 8
Let q(i) = 4*i**5 - 14*i**4 - 35*i**3 + i**2 - 1. Let s(p) = -2*p**5 - p**3 - p**2 + 1. Let y(j) = q(j) + s(j). Find u such that y(u) = 0.
-2, 0, 9
Suppose -4*g + 2517 - 268 = t, 6*t = 3*g + 13548. Let a = t + -4509/2. Factor -10*v**2 + 0*v + a*v**4 + 0 + 15/2*v**3.
5*v**2*(v - 1)*(v + 4)/2
Supp