 + 146*p**2 + 142*p**2 = 0. Calculate p.
-83, 2/3
Let u(v) be the third derivative of -5*v**8/336 + v**7/42 + v**6/12 - v**5/6 - 5*v**4/24 + 5*v**3/6 - 122*v**2 + 1. Factor u(a).
-5*(a - 1)**3*(a + 1)**2
Suppose -2*h + 1 = f, -5*f = 3*h - 4*h - 16. Let s(z) = -z**2 + 8*z - 12. Let g be s(5). Solve -2*u**4 + 3*u**5 - u**f - u**g + 2*u**2 + u**5 - 2*u**5 = 0.
-1, 0, 1
Let u(q) be the first derivative of 4/11*q + 3/22*q**4 - 2/33*q**3 - 2/55*q**5 - 44 - 3/11*q**2. Solve u(j) = 0.
-1, 1, 2
Let k(c) = -10*c**2 - 323*c - 14. Let p(s) = 21*s**2 + 648*s + 30. Let l(o) = -15*k(o) - 7*p(o). Factor l(h).
3*h*(h + 103)
Suppose -3*h = 5*j + 254, 4*h = -j + 2*j + 60. Let m = j - -54. Factor 1/4*o**m + 1/2*o + 1/4.
(o + 1)**2/4
Let d(j) be the second derivative of -5/9*j**3 + 5/36*j**4 - 20/3*j**2 - 25*j + 0. Factor d(c).
5*(c - 4)*(c + 2)/3
Let i = -220083/5 + 44019. Factor i*z + 8/5 + 4/5*z**2.
4*(z + 1)*(z + 2)/5
Let y(n) = 2*n**4 - n**3 - n**2 + n. Let h(a) = -24*a**4 + 71*a**3 - 31*a**2 - 21*a. Let f(s) = 2*h(s) + 10*y(s). Factor f(r).
-4*r*(r - 4)*(r - 1)*(7*r + 2)
Let z(o) = o - 5. Let i be z(-21). Let q = i + 31. Solve 0*w**4 + 3/5*w + 0 + 3/5*w**q + 0*w**2 - 6/5*w**3 = 0 for w.
-1, 0, 1
Let x = 19559/5 - 3907. Suppose 48/5*z**2 + 0 - x*z**3 + 3/5*z**4 + 0*z = 0. What is z?
0, 4
Let p(m) be the third derivative of 0 + 1/140*m**5 - 3/56*m**4 + 2*m**2 + 1/7*m**3 + 0*m. Factor p(k).
3*(k - 2)*(k - 1)/7
Factor -14/17*l**4 + 2/17*l**5 + 0*l + 0 + 16/17*l**3 + 32/17*l**2.
2*l**2*(l - 4)**2*(l + 1)/17
Let t(m) = 3 + 16*m + 7*m**2 - 11*m - 10*m. Let k(v) = 3*v**2 - 2*v + 1. Let i(q) = 5*k(q) - 2*t(q). Let i(j) = 0. What is j?
-1, 1
Let g(r) be the third derivative of r**8/5600 + r**7/840 + r**6/600 - 5*r**4/12 - 9*r**2. Let d(f) be the second derivative of g(f). Let d(a) = 0. What is a?
-2, -1/2, 0
Suppose -12 = 8*k - 14*k. Factor k*r**3 - 2*r**2 + 30 - 22 - 8*r + 0*r**2.
2*(r - 2)*(r - 1)*(r + 2)
Let -84*m + 80*m**3 + m**4 - 72 + 6*m**2 + 4*m**5 + 17*m**4 + 14*m**4 + 34*m**2 = 0. What is m?
-3, -2, -1, 1
Let g = 402/13 + -2762/91. Factor 0*j**4 - g*j**3 + 1/7*j**5 + 0*j + 0 + 0*j**2.
j**3*(j - 2)*(j + 2)/7
Let q(x) be the first derivative of 4*x**4 + 24*x**3 + 54*x**2 + 54*x - 134. Suppose q(o) = 0. Calculate o.
-3/2
Let x be (-32)/(-14) - 2/1. Let b(c) = c**3 + 7*c**2 + c + 11. Let o be b(-7). Let 0 + x*u - 2/7*u**o - 2/7*u**3 + 2/7*u**2 = 0. What is u?
-1, 0, 1
Factor 84*r - 98/5 - 90*r**2.
-2*(15*r - 7)**2/5
Let x(y) be the first derivative of -y**4/2 + 580*y**3 - 252300*y**2 + 48778000*y - 700. Let x(f) = 0. Calculate f.
290
Let s(a) be the first derivative of -13 + 5/2*a**2 - 5/9*a**3 - 10/3*a. What is b in s(b) = 0?
1, 2
Let z(n) be the first derivative of -4*n**5/5 + 2*n**4 + 20*n**3 + 654. Factor z(r).
-4*r**2*(r - 5)*(r + 3)
Factor -575/2*q + 285/2 - 5/2*q**3 + 295/2*q**2.
-5*(q - 57)*(q - 1)**2/2
Let h(l) be the second derivative of 0 - 13*l + 2*l**4 - 1/5*l**5 + 0*l**2 - 6*l**3. Find v such that h(v) = 0.
0, 3
Let q(l) be the first derivative of -l**6/24 + l**5/5 + 11*l**4/16 + l**3/2 - 61. Solve q(j) = 0 for j.
-1, 0, 6
Let u(g) be the second derivative of -g**9/68040 + g**8/30240 + g**7/5670 - 2*g**4 - 4*g. Let i(t) be the third derivative of u(t). Factor i(d).
-2*d**2*(d - 2)*(d + 1)/9
Suppose 33 = 7*d + 25 + 8. Determine s so that -2*s**3 - 6/5*s**5 + 2/5*s**2 + d + 0*s + 14/5*s**4 = 0.
0, 1/3, 1
Let s = 1174 - 1170. Factor l + 1/2*l**2 - s.
(l - 2)*(l + 4)/2
Let s(i) be the second derivative of i**5/160 - i**4/16 - i**3/12 + 3*i**2/2 + 225*i. Suppose s(q) = 0. Calculate q.
-2, 2, 6
Let c(v) = v + 10. Let u be c(-4). Suppose 0 - u = -3*i. Determine t, given that -26*t**3 - t + t + t**i - t**4 + 27*t**3 - t = 0.
-1, 0, 1
Suppose 0*n = -n - 4*k + 12, -3*n = 4*k - 28. Let t(z) = -z**3 + 6*z**2 + 16*z + 2. Let x be t(n). Factor 2/5 - 1/5*p**x + 1/5*p.
-(p - 2)*(p + 1)/5
Let l(s) be the second derivative of -s**4/6 + 5*s**3/3 + 6*s**2 + 3*s - 153. Factor l(i).
-2*(i - 6)*(i + 1)
Let w = 937537/607375 - 193/125. Let j = w - -68056/72885. Factor 32/15*a**3 + 4/15*a + 0 - j*a**4 - 22/15*a**2.
-2*a*(a - 1)**2*(7*a - 2)/15
Let u(z) be the second derivative of z**4/6 - 23*z**3/6 + 33*z**2/2 - 63*z. Let g be u(10). Let -6/5*r - 2/5*r**2 + 6/5*r**g + 2/5 = 0. Calculate r.
-1, 1/3, 1
Let l(i) = -4*i**2 + 10*i. Let j be l(2). Determine r so that -36*r**4 - r**5 - r**2 + 13*r**4 + 20*r**j + 2*r**5 + 3*r**3 = 0.
0, 1
Let l(b) be the third derivative of -b**8/70560 + b**7/4410 - b**6/840 - 7*b**5/20 + 21*b**2. Let t(r) be the third derivative of l(r). Factor t(o).
-2*(o - 3)*(o - 1)/7
Let s(o) be the second derivative of -o**9/3024 - o**8/210 - 3*o**7/140 + 9*o**5/40 - 4*o**3/3 + 15*o. Let h(n) be the second derivative of s(n). Factor h(a).
-a*(a - 1)*(a + 3)**3
Factor -87/7*r**2 - 84 - 3/7*r**3 - 96*r.
-3*(r + 1)*(r + 14)**2/7
Let h(j) be the third derivative of j**6/280 - 3*j**5/70 + j**4/7 + j**2 + 15*j. Suppose h(y) = 0. Calculate y.
0, 2, 4
Let z(b) be the second derivative of -b**4/42 - 13*b**3/14 - 19*b**2/14 + 19*b. Factor z(p).
-(p + 19)*(2*p + 1)/7
Let x(u) be the second derivative of -u**5/5 + 43*u**4 - 3698*u**3 + 159014*u**2 + 145*u + 1. Determine n so that x(n) = 0.
43
Let s(n) = 5*n**3 - 9*n + 16. Let d(q) = -55*q**3 + 100*q - 175. Let i(m) = 6*d(m) + 65*s(m). Factor i(a).
-5*(a - 1)**2*(a + 2)
Let z be 16/(-80)*-5*3/9. Determine h so that -1/3*h**2 - z*h + 0 = 0.
-1, 0
Let a(c) be the second derivative of -c**4/54 - 13*c**3/27 - 40*c**2/9 - 106*c. Let a(g) = 0. Calculate g.
-8, -5
Suppose 5*v = 5*m + 40, -4*v - 19*m - 10 = -16*m. Factor 10/9*t**3 + 0 + 0*t**v + 2/9*t**4 + 0*t.
2*t**3*(t + 5)/9
Let j(w) be the third derivative of -3/20*w**5 - 17*w**2 - 1/8*w**4 - 1/70*w**7 + 0*w**3 + 0 + 0*w - 3/40*w**6. Factor j(r).
-3*r*(r + 1)**3
Let c(f) be the first derivative of -5*f**4/4 - 10*f**3 + 45*f**2/2 + 70*f - 28. What is j in c(j) = 0?
-7, -1, 2
Let v = 49/32 - 727/480. Let z(x) be the second derivative of -7*x + 0*x**4 + 1/40*x**5 + 0*x**2 + 0*x**3 + v*x**6 + 0. Find w, given that z(w) = 0.
-1, 0
Let j(m) be the third derivative of m**8/840 + 4*m**7/525 + m**6/60 + m**5/75 - 238*m**2. Factor j(a).
2*a**2*(a + 1)**2*(a + 2)/5
Suppose -3*d + 8*d = -150. Let c be (-102)/d + 3/5. Factor h**3 + h**c + 4*h**4 - 3*h**3 - 7*h**4.
-2*h**3*(h + 1)
Let y = -4 - -8. Factor -y*d - 26*d + 5*d**2 - 10 - 12 - 13.
5*(d - 7)*(d + 1)
Let m(r) be the third derivative of -r**6/240 - r**5/30 + r**4/48 + r**3/3 + 102*r**2. Determine p, given that m(p) = 0.
-4, -1, 1
Let f be (-28)/(-6) - (-14)/(-21). Suppose 0 + f = 2*v. Find s, given that -15*s**2 - 6 - 5*s**3 + 4 - 10 + v*s**3 - 24*s = 0.
-2, -1
Let y = 258 - 255. Let v(u) be the first derivative of 1/10*u**4 + 14/15*u**y + 3 + 18/5*u + 3*u**2. Factor v(f).
2*(f + 1)*(f + 3)**2/5
Let y(v) be the first derivative of v**9/756 + v**8/105 + v**7/42 + v**6/45 - 4*v**3/3 - 9. Let b(r) be the third derivative of y(r). Solve b(c) = 0.
-2, -1, 0
Let o(g) be the second derivative of 2*g**7/189 + g**6/135 - g**5/18 + g**4/27 + 54*g. Solve o(x) = 0 for x.
-2, 0, 1/2, 1
Let o(n) = -n**2 + n - 1. Let t(j) = -35*j**2 + 9*j + 5*j + 3*j + 3*j - 30. Let i(z) = -30*o(z) + t(z). Solve i(l) = 0.
-2, 0
Let g(a) be the first derivative of 3*a**4/8 - 9*a**3/2 + 45*a**2/4 + 75*a/2 - 83. Factor g(i).
3*(i - 5)**2*(i + 1)/2
Let f(c) be the third derivative of -22*c**2 - 1/20*c**5 - 5/4*c**4 - 25/2*c**3 + 0*c + 0. Factor f(j).
-3*(j + 5)**2
Let b(y) be the first derivative of -y**4/4 - 5*y**3 - 7*y**2 + 2*y - 1. Let n be b(-14). Factor -2*c + 2*c**2 + 3*c**2 - 7*c**n + 5*c**2.
c*(3*c - 2)
Let y(v) = 2*v**2 - 48*v + 51. Let t be y(23). Suppose -t*a - 47 = -57. Find r, given that 0*r + 9/4*r**5 + 21/4*r**3 + 3/2*r**a + 0 + 6*r**4 = 0.
-1, -2/3, 0
Suppose -4/21*b**2 + 16/21*b**3 - 2/3*b - 2/21*b**5 + 8/21 - 4/21*b**4 = 0. Calculate b.
-4, -1, 1
Let v(b) = -2*b - 10. Let w be v(-6). Suppose -i = -w - 4. Determine y, given that 2*y**2 - i + y - y**3 + 1 + 3 = 0.
-1, 1, 2
Suppose -5*w - 8 + 3 = 0. Let k(q) = 5*q**5 + 2*q**4 - 9*q**3 - 4*q**2 - 2*q. Let o(z) = -z**5 - z**4 - z**2 + z. Let m(r) = w*k(r) - 2*o(r). Factor m(j).
-3*j**2*(j - 2)*(j + 1)**2
Let q(y) be the first derivative of 2/5*y**3 + 3/20*y**4 + 0*y**2 + 31 + 0*y. Solve q(b) = 0.
-