) = p*v**2 - v**2 - 2*v**2 + 4*v**2. Let s(x) = -x**2 + x + 1. Let a(w) = f(w) + 4*s(w). Factor a(g).
(g + 2)**2
Let j(t) = -t**3 - 111*t**2 - 399*t - 285. Let s(i) = -3*i**3 - 223*i**2 - 797*i - 570. Let k(l) = -7*j(l) + 4*s(l). Factor k(b).
-5*(b + 1)*(b + 3)*(b + 19)
Let x(l) = l - 9. Let f(z) = 5. Let y(t) = -7*f(t) - 4*x(t). Let a be y(-1). Suppose -1/2*v**2 + 0*v - 1/2*v**3 + 1/2*v**a + 0 + 1/2*v**4 = 0. Calculate v.
-1, 0, 1
Let n(l) be the first derivative of 0*l + 0*l**3 + 0*l**2 + 0*l**5 - 8 + 2/3*l**6 - l**4. Factor n(k).
4*k**3*(k - 1)*(k + 1)
Let q = 5602/9345 + 1/1869. Let p(d) be the third derivative of -5*d**2 + 0 + q*d**5 + 1/8*d**6 + 9/8*d**4 + 0*d + d**3. Factor p(w).
3*(w + 1)**2*(5*w + 2)
Let w(d) = -2*d**4 + d**3 + d**2 + 3*d - 1. Let m(v) = 17*v**4 + 3*v**3 - 6*v**2 - 27*v + 7. Let t(o) = -2*m(o) - 14*w(o). Suppose t(r) = 0. What is r?
-3, -1, 0, 2/3
Suppose -x = -2*z - 545, 3*x + 267 = -z - 2*x. Let i = z - -1907/7. Determine u so that 4/7*u + i*u**2 - 4/7 = 0.
-2, 2/3
Let w be (-3)/1*6/(0 - 2). Suppose -10 = -14*p + w*p. Factor 1/7*l**3 + 2/7*l**p + 0 + 1/7*l.
l*(l + 1)**2/7
Let a = 952/3 - 10400/33. Let g = a - 124/77. Factor 0 + 0*w + g*w**5 + 0*w**3 + 0*w**2 - 8/7*w**4.
4*w**4*(w - 2)/7
Let z be 5/(-75)*(4 + 230/(-20)). Solve -1/4*v**2 - z*v + 0 = 0 for v.
-2, 0
Let r = 250 + -3749/15. Let g(n) be the first derivative of 3/5*n - 2 - 1/2*n**2 + r*n**3 + 1/20*n**4. Factor g(x).
(x - 1)**2*(x + 3)/5
Let b = 87 - 83. Suppose b*n = 4*z + 4, -3*n + 4 = -z - 1. Factor 0 + 5/8*y**3 - 1/4*y**n - 1/2*y**4 + 1/8*y**5 + 0*y.
y**2*(y - 2)*(y - 1)**2/8
Let q(m) be the third derivative of -2*m**7/105 - 422*m**6/15 - 89042*m**5/5 - 18787862*m**4/3 - 3964238882*m**3/3 - m**2 + 39*m. Let q(i) = 0. Calculate i.
-211
Let a(p) be the second derivative of -6*p + 0 - 324*p**2 + 54*p**3 - 9/2*p**4 + 3/20*p**5. Factor a(q).
3*(q - 6)**3
Let i be (-135)/(-10)*(-9)/(-108). Factor -i - 3/4*k + 3/8*k**2.
3*(k - 3)*(k + 1)/8
Let p = -22 - -10. Let r be (38/(-42) + 1)/((-4)/p). Let -4/7*u**3 + 6/7*u**4 + 0*u + 0 - r*u**2 = 0. What is u?
-1/3, 0, 1
Let i(m) be the first derivative of m**4/4 - 7*m**3/3 + 11*m**2/2 + 6*m + 21. Let o be i(4). Factor 2/5*h**3 + 2/5*h**o + 0*h + 0.
2*h**2*(h + 1)/5
Let f(n) be the first derivative of -n**5/30 + n**4/9 + n**3/9 - 2*n**2/3 + 3*n - 5. Let u(k) be the first derivative of f(k). Factor u(m).
-2*(m - 2)*(m - 1)*(m + 1)/3
Let z = -12248/105 + 673/21. Let r = z - -85. Determine t, given that 0 + 0*t - 1/5*t**3 - r*t**2 = 0.
-2, 0
Let l be (-1292)/133 + 26 + (-4 - 6). Find x, given that -4/7*x**4 + 0 + 192/7*x + l*x**3 - 160/7*x**2 = 0.
0, 3, 4
Factor 3/2*v**3 + 5/6*v**4 - v**2 + 0 - 4/3*v.
v*(v - 1)*(v + 2)*(5*v + 4)/6
Factor 1/2*u**2 - 57*u + 3249/2.
(u - 57)**2/2
Let h = 443/671 - 7/61. Solve 2/11*s**4 + 8/11*s**3 + 0*s + 0 + h*s**2 = 0 for s.
-3, -1, 0
Let f(j) be the third derivative of j**9/756 + j**8/140 + j**7/70 + j**6/90 + 2*j**3 - 9*j**2. Let y(w) be the first derivative of f(w). Solve y(v) = 0 for v.
-1, 0
Factor -8/5*x**3 + 2/5*x**4 - 12/5*x**2 + 8/5*x + 2.
2*(x - 5)*(x - 1)*(x + 1)**2/5
Factor 0 + 10/7*a**2 + 2/7*a**4 - 4/7*a - 8/7*a**3.
2*a*(a - 2)*(a - 1)**2/7
What is q in -4/7*q + 0 + 4/7*q**3 + 0*q**2 = 0?
-1, 0, 1
Let m = -4 + 8. Let y = -2 + m. What is j in 7*j**y + 5 + 16*j + 8*j**2 - 8*j**2 - 1 = 0?
-2, -2/7
Let x(s) be the third derivative of 0*s + 0*s**5 + 0*s**4 + 20*s**2 + 0*s**3 + 4/735*s**7 - 1/210*s**6 - 1/588*s**8 + 0. Factor x(m).
-4*m**3*(m - 1)**2/7
Let k = -47 + 46. Let f be (k - -2)*(-14 + 14). Solve f*z + 0 + 2/15*z**2 - 2/5*z**3 = 0 for z.
0, 1/3
Let g(y) be the third derivative of 0 - 2*y**4 - 4/15*y**6 - 26*y**2 + 3/70*y**7 + 8/3*y**3 - 1/336*y**8 + 0*y + 14/15*y**5. Let g(v) = 0. What is v?
1, 2
Let o(k) = k**2 - 31*k - 17. Let c(i) = -11*i + 6 + 3*i + 18*i. Let h(l) = -14*c(l) - 4*o(l). Factor h(w).
-4*(w + 2)**2
Let n(f) = -3*f**3 - 30*f**2 - 211*f - 486. Let v(a) = -7*a**3 - 62*a**2 - 423*a - 973. Let k(p) = 5*n(p) - 2*v(p). Solve k(x) = 0.
-11, -4
Let c(o) be the third derivative of o**6/180 + 7*o**5/30 + 49*o**4/12 - 17*o**3/6 + 22*o**2. Let t(f) be the first derivative of c(f). What is h in t(h) = 0?
-7
Let j be -5 + 183/9 + -7. Suppose -j*r**2 + 25/3*r**4 + 5*r**5 - 5/3*r**3 + 0 - 10/3*r = 0. Calculate r.
-1, -2/3, 0, 1
Let r(d) be the third derivative of -d**8/42 + 2*d**7/35 + 8*d**6/15 - 3*d**5/5 - 16*d**4/3 - 8*d**3 + 23*d**2 - d. Solve r(t) = 0 for t.
-2, -1, -1/2, 2, 3
Let p(k) be the first derivative of -k**7/840 - k**6/240 - 7*k**2/2 - 2. Let q(z) be the second derivative of p(z). Factor q(i).
-i**3*(i + 2)/4
Let h(c) be the third derivative of -c**8/252 - 26*c**7/315 - 23*c**6/90 - 11*c**5/45 - 2*c**2 - 99. Factor h(w).
-4*w**2*(w + 1)**2*(w + 11)/3
Let v(q) = q**5 + q**4 + q**3 - 1. Let i(m) = -17*m**4 + 63*m**3 + 1. Let n(f) = i(f) + v(f). Factor n(a).
a**3*(a - 8)**2
Let 281*d**4 - 222*d**2 - 320*d - 50*d**5 - 24 + 370*d**3 - 49*d**4 + 14*d**4 = 0. Calculate d.
-1, -2/25, 1, 6
Let g be 422 + (-3)/2*-2. Find r, given that -g*r + 425*r + 3*r**5 = 0.
0
Let i be 54/(-52)*-4 + (-4)/26. Find v such that -16*v**2 + 24*v**3 - 48*v**i + 665*v**5 - 647*v**5 + 20*v**3 + 2*v = 0.
0, 1/3, 1
Let b(o) be the second derivative of -o**5/60 - o**4/36 - 50*o. Find u such that b(u) = 0.
-1, 0
Let o(x) = 9*x - 39. Let h be o(5). Let r(s) be the first derivative of 0*s**3 - 2 + 0*s + 3/5*s**5 + 1/6*s**h + 0*s**2 + 1/2*s**4. Factor r(n).
n**3*(n + 1)*(n + 2)
Let r(x) = -13*x + 82. Let c be r(6). Let i(y) be the second derivative of -2/3*y**2 + 1/9*y**3 + 1/18*y**c + 0 + 2*y. What is u in i(u) = 0?
-2, 1
Let g be (-1 + -2)/(4/(-2)). Suppose -5*a = 3*r + 8, 0 = 5*a + 24*r - 29*r - 40. Find j, given that 1/2*j**3 + g*j**a + j + 0 = 0.
-2, -1, 0
Let n(u) be the second derivative of -1/45*u**6 - 21*u + 1/6*u**2 + 1/36*u**4 - 1/4*u**3 + 3/40*u**5 + 0. Suppose n(j) = 0. What is j?
-1, 1/4, 1, 2
Let s(k) = k**3 + 3*k**2 - 2. Suppose -4*t = -4*y, -4*y - t = 3*t - 32. Let c(m) = -3*m**3 - 9*m**2 + 7. Let w(x) = y*c(x) + 14*s(x). Factor w(b).
2*b**2*(b + 3)
Let q(i) be the first derivative of -i**3/5 - 57*i**2/5 - 1083*i/5 + 81. Factor q(k).
-3*(k + 19)**2/5
Let k(i) be the third derivative of 0 - 1/40*i**4 + 3/5*i**3 + 1/600*i**6 + 0*i - 1/75*i**5 + 29*i**2. Let k(s) = 0. Calculate s.
-2, 3
Let f(n) be the first derivative of n**4/8 - 2*n**3/3 + 3*n**2/4 + 110. Factor f(u).
u*(u - 3)*(u - 1)/2
Let z(c) = 13*c**2 + 54*c + 841. Let o(u) = -3*u**2 + u. Let t(w) = 4*o(w) + z(w). Factor t(l).
(l + 29)**2
Let o(u) = -2*u**2 - u - 2. Let w(n) = -7 + 4 + n + 3. Suppose 0 = -2*d + 6 - 4. Let v(y) = d*o(y) - 3*w(y). Factor v(a).
-2*(a + 1)**2
Let u = -62722/767 + 1060/13. Let r = u + 362/531. Find y such that -r + 2/9*y - 2/9*y**3 - 2/3*y**4 + 10/9*y**2 = 0.
-1, 2/3, 1
Let h(d) be the third derivative of d**5/3 - 25*d**4/24 + 5*d**3/6 + 95*d**2. Factor h(k).
5*(k - 1)*(4*k - 1)
Let m(s) = -s**3 - 12*s**2 - 71*s - 660. Let x be m(-11). Find a, given that x - 1/2*a**2 + a - 3/2*a**3 = 0.
-1, 0, 2/3
Let q(o) be the third derivative of -o**5/120 - 9*o**4/4 - 243*o**3 + 301*o**2. Factor q(m).
-(m + 54)**2/2
Let d be (63672/17055)/(3/((-18)/(-4))). Factor -32/5*l + d*l**2 - 64/5 - 4/5*l**3.
-4*(l - 4)**2*(l + 1)/5
Let 1/5*k**2 + 1296/5 - 72/5*k = 0. What is k?
36
Let t(o) be the third derivative of 1/150*o**5 + 0*o - 1/15*o**3 + 0 + 1/300*o**6 + 11*o**2 - 1/60*o**4. Suppose t(c) = 0. What is c?
-1, 1
Let q(r) = 3*r**2 - 5*r. Let j(a) = 16*a**2 - 28*a. Let h(x) = -4*j(x) + 22*q(x). Factor h(p).
2*p*(p + 1)
Suppose 32/19 + 2/19*t**2 + 34/19*t = 0. What is t?
-16, -1
Let w(g) be the second derivative of g**4/48 - g**3/3 + 7*g**2/8 + 2*g - 26. Factor w(c).
(c - 7)*(c - 1)/4
Let c(y) be the third derivative of 2*y**5/15 + y**4/6 + 148*y**2. Factor c(z).
4*z*(2*z + 1)
Let a(c) be the second derivative of -11*c**4/60 - c**3/20 + c**2/5 - 2*c - 71. Determine n so that a(n) = 0.
-1/2, 4/11
Let q(w) be the first derivative of -1/3*w + 5/6*w**2 + 7/12*w**4 + 13/9*w**3 + 3. Factor q(b).
(b + 1)**2*(7*b - 1)/3
Let b = 34 - 32. Let i(s) = -s**5 - 4*s**4 + 5*s**3 + 8*s**2 + 6*s + 2. Let u(t) = t**4 - t**3 - t - 1. Let q(d) = b*u(d) + i(d). Factor q(f).
-f*(f - 2)*(f + 1)**2*(f + 2)
Suppose 2*v - 145 = 3*v - 4*u, 