ivative of h**5/70 + h**4/7 - 3*h**3 - 135*h**2. Solve b(j) = 0 for j.
-7, 3
Let b be 6/8*(-1 + 5). Suppose -b*z + z = z. Factor 1/2*j**2 + 1/2*j + z.
j*(j + 1)/2
Let r be 25/10*6/20. Let d(q) be the first derivative of -r*q**4 + 1/2*q**6 + 0*q + 4 + 0*q**2 + q**3 - 3/5*q**5. Determine o so that d(o) = 0.
-1, 0, 1
Let g(x) be the first derivative of 4/13*x**2 + 16/39*x**3 + 0*x - 3/13*x**6 - 2 - 36/65*x**5 - 5/26*x**4. Suppose g(c) = 0. What is c?
-1, -2/3, 0, 2/3
Let b(v) = 6*v**2 + 61*v + 60. Let h(q) = 3*q**2 + 31*q + 30. Let p(i) = 2*b(i) - 5*h(i). Suppose p(k) = 0. What is k?
-10, -1
Let r(p) be the first derivative of p**3/2 + 3*p**2/8 - 3*p/4 - 181. Let r(t) = 0. Calculate t.
-1, 1/2
Let z be ((-3)/(-4))/((-6)/(-16)). Solve g**3 - 6*g**2 - 3 - 3*g**5 - 9*g**3 + 9*g**4 + 9*g + z*g**3 = 0 for g.
-1, 1
Let b(u) be the third derivative of 4*u**2 + 8/7*u**4 - 128/21*u**3 - 4/35*u**5 + 0*u + 0 + 1/210*u**6. Factor b(y).
4*(y - 4)**3/7
Let u(k) = -281*k**4 - 56*k**3 + 71*k**2 + 37*k - 11. Let m(t) = 56*t**4 + 11*t**3 - 14*t**2 - 7*t + 2. Let x(r) = -11*m(r) - 2*u(r). Factor x(c).
-3*c*(2*c - 1)*(3*c + 1)**2
Let v(i) = -i**3 + 8*i**2 + 114*i + 4. Let m be v(0). Factor 0 + 0*a + 8/9*a**2 + 4/9*a**3 - 4/9*a**m.
-4*a**2*(a - 2)*(a + 1)/9
Let c be (-85)/(-70) - 4/7. Let v = c - -1/42. Factor 4/9 + 10/9*k - v*k**2.
-2*(k - 2)*(3*k + 1)/9
Let h(b) be the second derivative of b**4/12 + b**3/3 + 150*b. Suppose h(o) = 0. Calculate o.
-2, 0
Let r = 116 + -36. Let n be r/18 - (-16)/(-4). Suppose -2*g + 14/9*g**2 + n = 0. Calculate g.
2/7, 1
Let v(i) be the first derivative of i**4/9 - 32*i**3/3 - 200*i**2/3 - 1216*i/9 + 797. Factor v(g).
4*(g - 76)*(g + 2)**2/9
Factor -9/5*c**4 + 12/5 + 33/5*c**2 - 3/5*c**3 + 3/5*c**5 - 36/5*c.
3*(c - 2)*(c - 1)**3*(c + 2)/5
Let u(j) = -j**3 + 2*j**2 - j + 1. Let k be u(1). Let v be 384/(-54)*1*k/(-4). Let 0 + 10/9*b**3 + v*b**2 + 8/9*b + 2/9*b**4 = 0. What is b?
-2, -1, 0
Let d(a) be the first derivative of -17*a**5/100 - 19*a**4/40 - a**3/5 + 15*a**2 - 28. Let j(w) be the second derivative of d(w). Factor j(m).
-3*(m + 1)*(17*m + 2)/5
Let x(d) be the third derivative of -d**8/640 + d**7/840 + 7*d**6/480 - d**5/40 - d**4/12 + 7*d**2. Let q(g) be the second derivative of x(g). Factor q(i).
-3*(i - 1)*(i + 1)*(7*i - 2)/2
Let w be 10/105*3*2/12. Let u(i) be the second derivative of -1/10*i**5 + 2/15*i**6 + 0*i**3 + w*i**7 - 4*i + 0 - 1/3*i**4 + 0*i**2. Factor u(y).
2*y**2*(y - 1)*(y + 1)*(y + 2)
Let d(a) be the third derivative of -a**7/105 + 13*a**6/120 - 5*a**5/12 + a**4/3 + 2*a**3 + 6*a**2 + 12*a. Suppose d(w) = 0. Calculate w.
-1/2, 2, 3
Let q(k) be the third derivative of -k**7/630 + k**6/180 - 31*k**4/24 - 32*k**2. Let j(d) be the second derivative of q(d). Factor j(g).
-4*g*(g - 1)
Let q(r) be the first derivative of 12 - 1/2*r**2 - 1/4*r**4 + 0*r + 2/3*r**3. Find n, given that q(n) = 0.
0, 1
Find z, given that -14*z**4 - 204*z**2 - 9*z**4 + 42*z**3 + 164 + 108 - 122*z**3 + 19*z**4 + 16*z = 0.
-17, -2, 1
Let g(f) be the first derivative of 5*f**3/3 - 185*f**2/2 + 510*f + 213. Determine r so that g(r) = 0.
3, 34
Let o = -1/217 + 459/5425. Let n(t) be the second derivative of -1/5*t**4 + 0 - 1/5*t**2 + o*t**5 + 4/15*t**3 + 6*t - 1/75*t**6. Factor n(i).
-2*(i - 1)**4/5
Let q(t) be the first derivative of 0*t - 1/12*t**6 - 20 + 1/16*t**4 + 0*t**2 + 1/20*t**5 + 0*t**3. What is o in q(o) = 0?
-1/2, 0, 1
Let b(q) be the third derivative of -q**5/360 + 13*q**4/144 - 518*q**2. Factor b(x).
-x*(x - 13)/6
Let b(q) = 70*q**2 - 1400*q + 1275. Let i(x) = 5*x**2 - 100*x + 91. Let p(t) = 4*b(t) - 55*i(t). Suppose p(w) = 0. Calculate w.
1, 19
Find n, given that 58/3*n - 340/9 - 2/9*n**2 = 0.
2, 85
Let b(n) = -n**2 - 8*n - 5. Let t be b(-7). Factor 14*x**t - 2*x**3 - 22*x + 58 - 42 - 6*x.
-2*(x - 4)*(x - 2)*(x - 1)
Let h(s) = -50*s**2 + 135*s + 290. Let j(a) = -3*a**2 + 8*a + 17. Let q = -42 + 44. Let x(g) = q*h(g) - 35*j(g). Factor x(n).
5*(n - 3)*(n + 1)
Let m(f) = -2*f**2 - 176*f - 194. Let s(z) = 3*z**2 + 354*z + 386. Let x(r) = -7*m(r) - 4*s(r). Suppose x(i) = 0. What is i?
-1, 93
Let i(f) = 10*f**2 - 5*f - 12. Let h(g) = -g**2 + 1. Let c(s) = -22*h(s) - 2*i(s). Let y be c(-5). Determine z so that -55*z**2 - 4*z - 1 + 4 + 56*z**y = 0.
1, 3
Let i(l) be the third derivative of l**8/1848 - 5*l**7/231 + 13*l**6/60 + 169*l**5/330 + 2*l**2 + 17. Let i(t) = 0. Calculate t.
-1, 0, 13
Let v(w) be the second derivative of 0 + 10*w - 5/6*w**3 + 0*w**2 - 5/12*w**4. Factor v(m).
-5*m*(m + 1)
Let s be (9 - 100/12)*9. Let p(k) be the third derivative of 0*k - 1/210*k**s + 1/14*k**4 + 0*k**5 + 4/21*k**3 - 7*k**2 + 0. Factor p(f).
-4*(f - 2)*(f + 1)**2/7
Let t be 84/(-18)*(-18)/7. Suppose 11*r - t*r = 0. Determine p, given that r - 2/3*p**2 - 4/3*p = 0.
-2, 0
Suppose 1290*n = 1288*n - 3*s - 9, n - 8 = s. Factor 28/3*z - 8/3 + 44/3*z**n + 80/3*z**2.
4*(z + 1)**2*(11*z - 2)/3
Let d = 1014129/15424 + -1/15424. Let v = -65 + d. Determine s, given that -3/2*s**3 - 3/4*s**4 + 3/2*s + v + 0*s**2 = 0.
-1, 1
Suppose 16/19*i**2 - 12/19*i**3 + 2/19*i**4 - 18/19 + 12/19*i = 0. What is i?
-1, 1, 3
Factor 162*p**2 + 126*p**3 + 2*p**5 - 24*p**4 + 9*p**4 - 19*p**4.
2*p**2*(p - 9)**2*(p + 1)
Let l = -6906 + 6908. Factor 15*o - 3/2*o**l - 75/2.
-3*(o - 5)**2/2
Let o = -883 - -887. Let g(c) be the third derivative of 0 - 2/9*c**3 + 1/4*c**o - 2/45*c**5 + 0*c - c**2. Let g(r) = 0. Calculate r.
1/4, 2
Let l = 353 + -350. Factor -2*d**2 + 1/2*d**l + 3/2*d + 0.
d*(d - 3)*(d - 1)/2
Suppose -14*d - 9 = -17*d. Determine w, given that 201*w + 2*w**d - 201*w - 3*w**2 + w**4 = 0.
-3, 0, 1
Let i be ((-510)/25)/17*(-5)/2. Let j(c) be the first derivative of 1/5*c**5 + 0*c**4 + 2 + 0*c - c**2 - c**i. Determine x, given that j(x) = 0.
-1, 0, 2
Let j = -32 + 21. Let o be 672/308 + 2/j. Factor -1/3 + 1/3*z**o + 0*z.
(z - 1)*(z + 1)/3
Let b(d) = 31*d + 2. Let m be b(2). Let k = -62 + m. Factor 1/4*c**3 - 3/4*c + 1/2 + 0*c**k.
(c - 1)**2*(c + 2)/4
Suppose 20*r = 22*r - 6. Find u, given that 20*u**5 - 11*u**r + 10*u**3 - 4*u**3 - 15*u**4 = 0.
-1/4, 0, 1
Suppose 5*y + 4*z = 81, -2*y - 4*z + 29 = z. Factor c**3 + 2*c - 3*c**2 + 20 - y - 3*c.
(c - 3)*(c - 1)*(c + 1)
Let d(t) = -t - 1. Let p(s) = -15*s**3 + 35*s**2 - 45*s - 15. Let n = -86 - -87. Let c(x) = n*p(x) - 20*d(x). Factor c(h).
-5*(h - 1)**2*(3*h - 1)
Let o(i) be the first derivative of -i**5 - 15*i**4/2 + 40*i**3/3 + 15*i**2 - 35*i - 160. Factor o(f).
-5*(f - 1)**2*(f + 1)*(f + 7)
Let c(d) be the first derivative of d**3 + 9 + 0*d + d**2 - 1/5*d**5 + 0*d**4. Suppose c(n) = 0. What is n?
-1, 0, 2
Let f be ((-6)/(-4))/((-13)/(-26)). Suppose 4*c = -f*r + 104, 29 = 4*c + 4*r - 75. What is s in 11*s + 2 + 10*s**2 - s - c*s**2 - 4 + 8*s**3 = 0?
1/2, 1
What is b in -31/10*b**2 - 1/5*b**3 - 7/5 - 43/10*b = 0?
-14, -1, -1/2
Let k(r) be the first derivative of r**4/12 + 34*r**3/9 + 42*r**2 - 216*r - 5. Find b such that k(b) = 0.
-18, 2
Let f be ((-2)/(-8))/((0 + -3)/306). Let i = -25 - f. Factor 0 - 1/2*d**2 + 1/2*d**5 + i*d**4 + 0*d - 1/2*d**3.
d**2*(d - 1)*(d + 1)**2/2
Suppose 6*j - 2*j = 16. Factor -115*q**3 + 2*q**j - 1 + 52*q**3 - 1 + 59*q**3 + 4*q.
2*(q - 1)**3*(q + 1)
Let b = 1081 - 5403/5. Factor b*p + 0 + 2/5*p**2.
2*p*(p + 1)/5
Let d be ((-128)/60)/((-94)/(-5) - 19). Factor 184/9*j**3 + d*j**2 + 40/3*j**4 + 16/9*j + 25/9*j**5 + 0.
j*(j + 2)**2*(5*j + 2)**2/9
Let f(k) be the first derivative of 8/25*k**5 - 17/10*k**4 + 8/3*k**3 + 0*k + 7 - 4/5*k**2. Solve f(h) = 0.
0, 1/4, 2
Let o be ((-1)/(-3))/(6/24). Let z(i) be the second derivative of o*i**3 + 6*i**2 + 0 + 1/9*i**4 + 5*i. Factor z(j).
4*(j + 3)**2/3
Find r, given that 0*r - 8/9*r**4 + 0 - 4/9*r**2 - 22/9*r**3 + 10/9*r**5 = 0.
-1, -1/5, 0, 2
Let u(d) = 11*d**4 - 2*d**3 + 28*d**2 - 11*d - 13. Let s(p) = -5*p**4 + p**3 - 13*p**2 + 5*p + 6. Let a(f) = 13*s(f) + 6*u(f). Factor a(n).
n*(n - 1)*(n + 1)**2
Let r(l) = -l**2 - 66 - 46 + 113. Let o(h) = -3*h - h**4 - h**2 + 2*h**4 + 4*h**3 - h**3. Let z(f) = -o(f) + 2*r(f). Suppose z(v) = 0. What is v?
-2, -1, 1
Let v(u) be the third derivative of -u**9/12096 - u**8/1344 - u**7/504 + u**5/5 - 4*u**2. Let n(b) be the third derivative of v(b). What is c in n(c) = 0?
-2, -1, 0
Let g = -16 - -20. Find s such that 8*s**2 + 9*s**2 - 1