2863/3. Suppose 4/3 + q*j**v + 4/3*j = 0. Calculate j.
-2
Let p be (6*6/(-4) - -5) + 6. Let r(i) be the second derivative of -3/20*i**5 + 3*i + 0*i**4 + 1/2*i**3 + 0*i**p + 0. Factor r(m).
-3*m*(m - 1)*(m + 1)
Let m(t) = t**3 - t**2 + 6*t - 5*t + 0*t**2 + 0*t**2. Let f(n) = 6*n**3 - 6*n**2 + 4*n + 1. Let g(x) = -4*f(x) + 20*m(x). Suppose g(q) = 0. Calculate q.
-1, 1
Let w = 258 + -255. Let r(o) be the first derivative of -2/15*o**5 - 2 - 4/9*o**w + 0*o + 5/6*o**4 - 2/9*o**6 + 0*o**2. Let r(i) = 0. Calculate i.
-2, 0, 1/2, 1
Let j(s) = -s**2 - s + 1. Let z(y) = -5*y**2 - 6*y - 1. Let w(x) = 10*x**2 + 11*x + 3. Let f(m) = -3*w(m) - 7*z(m). Let r(q) = 5*f(q) + 30*j(q). Factor r(k).
-5*(k - 4)*(k + 1)
Find r such that 67*r**4 - 11/2*r**5 + 465/8*r**3 + 0 - 13/4*r + 41/8*r**2 = 0.
-1/2, 0, 2/11, 13
Suppose 25 = b - 195. Suppose 3 + 12 = 15*d. Factor -220*t + d + b*t - t**2.
-(t - 1)*(t + 1)
Let q(u) = 2*u**3 - 17*u**2 + 18*u. Let l(o) = 35*o - 2 + 2 - 41*o**2 + 6*o**2 + 5*o**3. Let h(c) = -3*l(c) + 5*q(c). Determine t, given that h(t) = 0.
0, 1, 3
Let m(h) = 6*h**2 - h - 7. Let a be (-1)/(-2)*-1*(51 - 39). Let g(b) = 3*b**2 - 3. Let o(r) = a*m(r) + 13*g(r). Let o(y) = 0. Calculate y.
-1
Suppose 15*b - 4 = 14*b. Let h = -1 + b. Solve 2/3*o**h - 2/3*o**2 - 4/3*o + 0 = 0 for o.
-1, 0, 2
Solve 71*b + b + 35*b**4 + 430*b**3 + 465*b**2 - b - 20*b**5 + 19*b = 0.
-3, -1, -1/4, 0, 6
Let w(f) = 30*f + 2. Let p be w(0). Let u(q) be the first derivative of 1/6*q**4 + 0*q**3 + 3 - 4/3*q - q**p. Factor u(o).
2*(o - 2)*(o + 1)**2/3
Suppose 14*l - 10 - 88 = 0. Let z(q) = -9*q**2 - 39*q - 26. Let o(u) = -17*u**2 - 77*u - 53. Let h(c) = l*z(c) - 4*o(c). Factor h(a).
5*(a + 1)*(a + 6)
Let r = -36 - -38. Let o be 21/r*(-40)/(-45). Suppose -16/3 + 40/3*p + 2*p**3 - o*p**2 = 0. What is p?
2/3, 2
Let g(f) = -f**2 - 13*f - 9. Let q be g(-12). Suppose 2 = q*c + 2*n, 2*c - 5*n + 3 = -2. Factor 0*y**2 + 1/2*y - 1/2*y**3 + c.
-y*(y - 1)*(y + 1)/2
Let p(s) be the second derivative of -s**5/40 + 23*s**4/24 - 57*s**3/4 + 405*s**2/4 - 27*s + 1. Factor p(w).
-(w - 9)**2*(w - 5)/2
Let n = 133/39 + -27/13. Solve -2/3*z**3 + 0 - 2/3*z**4 + n*z**2 + 0*z = 0.
-2, 0, 1
Let t(s) = s**2 - 21*s - 17. Let q(y) = 0*y**2 + 8 + y**2 + 11*y + 1 - 2*y**2. Let o(x) = 5*q(x) + 3*t(x). Factor o(g).
-2*(g + 1)*(g + 3)
Let n(p) = p**2 - 7*p - 13. Let q be n(9). Let t be q + 2 + 32/(-8). Factor 4 - 30*v + 63*v**2 - 49/2*v**t.
-(v - 2)*(7*v - 2)**2/2
Let y = -26 - -28. Solve 4*q**y - 2*q + 0*q + 2*q**3 - 4*q**3 = 0.
0, 1
Let b be 6*(-3)/(-9) - 3 - 11. Let i be (-40)/b + -5 - -2. Factor 0*t + 0 - i*t**2.
-t**2/3
Suppose 4*l = -l. Let m = 7 + l. Factor -3*x + 7*x - 10 - x**2 + m.
-(x - 3)*(x - 1)
Let l = -4212 + 29490/7. What is n in -2/7*n + l*n**3 + 0 - 4/7*n**2 = 0?
-1/3, 0, 1
Let z be 93*(-6)/27*-3. Suppose 13 + 12*u - 29*u**3 - 21*u**4 - 1 - 81*u**2 + z*u**3 + 45*u**3 = 0. Calculate u.
-2/7, 1, 2
Let p(s) = -229*s + 10076. Let f be p(44). Factor 0*h - 4/5*h**2 + f.
-4*h**2/5
Determine v so that 1/2*v + 0*v**2 + 0 - 1/2*v**3 = 0.
-1, 0, 1
What is z in 162/7*z - 27/7*z**3 + 0 - 81/7*z**2 - 3/7*z**5 + 3*z**4 = 0?
-2, 0, 3
Suppose 0 = -9*u + 6*u - 2*r, -3*r = 0. Let t(o) be the second derivative of 1/3*o**3 + 1/6*o**4 - 3*o + 0 + u*o**2. Solve t(m) = 0.
-1, 0
Let r(a) be the first derivative of -4*a**3/9 + 68*a**2 - 3468*a + 231. Solve r(u) = 0.
51
Let i = 555 + -6103/11. What is x in 10/11*x**4 - 30/11*x**2 - i*x + 12/11 - 6/11*x**3 = 0?
-1, 3/5, 2
Let d be 3 + ((-8)/(-36) - 6/27). Let x(k) be the second derivative of -1/60*k**6 + 2*k + 0*k**d + 0*k**2 + 1/10*k**5 + 0 - 1/6*k**4. Factor x(o).
-o**2*(o - 2)**2/2
Let k(n) be the second derivative of n**7/2520 - n**6/80 - 29*n**4/12 - 12*n. Let c(p) be the third derivative of k(p). Factor c(s).
s*(s - 9)
Let z = 139 - 137. Suppose -5*t = -c - 8, z*c - 6*c + 2 = -3*t. Solve 18/11*y**4 + 14/11*y**5 + 0 + 0*y**c + 4/11*y**3 + 0*y = 0 for y.
-1, -2/7, 0
Suppose -8 = 2*w, 4*y + 4*w = 7*y - 1. Let u be ((-3)/12)/(y/100). Factor 5*v + 2*v**3 + 2*v**4 + 2 - 2*v - v**u - 4*v**2 - 4*v.
-(v - 2)*(v - 1)**2*(v + 1)**2
Let q(l) be the third derivative of -1/1680*l**8 + 0*l**3 + 0*l**4 + 31*l**2 + 1/350*l**7 + 0*l**5 + 0*l + 0*l**6 + 0. Determine g so that q(g) = 0.
0, 3
Let z(p) be the third derivative of -p**7/70 + p**6/40 + p**5/20 - p**4/8 - 4*p**2 + 1. Factor z(w).
-3*w*(w - 1)**2*(w + 1)
Suppose 72/5 - 6*o + 3/5*o**2 = 0. What is o?
4, 6
Let 25 - 5/3*t**2 + 70/3*t = 0. Calculate t.
-1, 15
Suppose 104 = -19*u + 23*u. Let v be (4/(-7))/((-13)/u). Determine r, given that 0 - 4/7*r**3 - 4/7*r + v*r**2 = 0.
0, 1
Let q(z) = 6*z - 4. Let d be q(3). Let u be 6/(-21) - ((-22)/d + 1). What is x in -4/7*x + u*x**2 + 2/7 = 0?
1
Suppose 201*a**2 - a - a**3 + 2*a - 201*a**2 = 0. Calculate a.
-1, 0, 1
Let w be -7 - 110/40*-4. Let c(o) be the first derivative of -1/4*o**2 + 0*o - 5/6*o**3 - 3/10*o**5 - 7/8*o**w + 3. What is n in c(n) = 0?
-1, -1/3, 0
Determine d so that -42*d**2 + 76*d + 9*d**3 - 1/2*d**4 - 48 = 0.
2, 12
Let r(i) be the second derivative of -i**6/360 - i**5/30 + 19*i**3/6 - 28*i. Let q(x) be the second derivative of r(x). Factor q(z).
-z*(z + 4)
Let t be (-22)/7*256/(-1408). Let 0*v**4 - 2/7*v + 0 - 2/7*v**5 + t*v**3 + 0*v**2 = 0. What is v?
-1, 0, 1
Factor 7/4*z - 1/4*z**3 - 1 - 1/2*z**2.
-(z - 1)**2*(z + 4)/4
Let s = -15385 - -77406/5. Let d = -96 + s. Factor 0 + 0*m - 2/5*m**3 + d*m**2 + 1/5*m**4.
m**2*(m - 1)**2/5
Let y(j) be the second derivative of -3*j**4/14 - 148*j**3/7 - 5476*j**2/7 - 3*j + 12. Let y(q) = 0. Calculate q.
-74/3
Let a(t) be the first derivative of t**6/60 - t**5/20 - t**4/24 + t**3/6 - t + 10. Let m(s) be the first derivative of a(s). Determine g so that m(g) = 0.
-1, 0, 1, 2
Let h(x) be the second derivative of x**4/6 - x**3 - 4*x**2 - 56*x. Factor h(s).
2*(s - 4)*(s + 1)
Let q(y) be the first derivative of -5*y**4/4 - 155*y**3 - 10575*y**2/2 + 11045*y - 375. What is t in q(t) = 0?
-47, 1
Suppose -x + 30 = -2*d + 5*d, d - 24 = -5*x. Factor -3*c**4 - c**3 - 20*c**3 - d*c**3 - 75*c**2.
-3*c**2*(c + 5)**2
Let q(y) be the second derivative of y**6/30 - 3*y**5/10 + 3*y**4/4 - 2*y**3/3 + 4*y + 35. Factor q(m).
m*(m - 4)*(m - 1)**2
Let z(m) be the second derivative of 3/8*m**4 + 14*m + 5/4*m**3 + 3/2*m**2 - 1/20*m**6 + 0 - 3/40*m**5. Factor z(l).
-3*(l - 2)*(l + 1)**3/2
Let y = -168 + 172. Let h(s) be the second derivative of -1/3*s**2 + 2/9*s**3 + 0 - 1/18*s**y - 4*s. Factor h(j).
-2*(j - 1)**2/3
Let b(t) = 141*t + 145. Let d be b(-1). Factor -8/3*f**2 + 2*f**d + 2/3*f**5 + 0*f**3 + 0 + 0*f.
2*f**2*(f - 1)*(f + 2)**2/3
Let a(o) be the second derivative of -7*o - 8/35*o**5 + 5/7*o**3 + 0 - 2/7*o**2 - 4/7*o**4. Factor a(m).
-2*(m + 2)*(4*m - 1)**2/7
Let g(k) be the second derivative of -k**8/840 - k**7/420 + k**6/90 - 13*k**3/6 - 6*k. Let t(s) be the second derivative of g(s). Factor t(w).
-2*w**2*(w - 1)*(w + 2)
Let d(w) = -w**3 - 3*w**2 + 5*w + 3. Let p be d(-4). Let j(r) = r**2 - 2*r - r - 2*r + 4*r. Let k(o) = -2*o. Let g(q) = p*k(q) + 2*j(q). Factor g(b).
2*b**2
Let j = -120 - -252. Find h, given that 27*h**5 + 90*h**2 + 7*h**4 - j*h - 121*h**4 + 24 + 138*h**3 - 33*h**3 = 0.
-1, 2/9, 1, 2
Suppose -5*v + 2 = -13. Suppose z**2 - 5*z**4 + 3*z**5 + 3*z + 2*z**4 - 6*z**v - 3 + 5*z**2 + 0*z**5 = 0. What is z?
-1, 1
Let c(w) be the third derivative of w**7/420 - 3*w**6/80 + 5*w**5/24 - 9*w**4/16 + 5*w**3/6 - 13*w**2 + 5. Factor c(f).
(f - 5)*(f - 2)*(f - 1)**2/2
Let r(f) be the second derivative of 2 + 3/55*f**5 + 1/231*f**7 + 1/33*f**6 + 0*f**2 - 2/33*f**4 + 3*f - 8/33*f**3. Find v such that r(v) = 0.
-2, 0, 1
Let w(d) be the third derivative of -d**7/2520 - d**6/240 - d**5/60 + d**4/12 - 12*d**2. Let c(j) be the second derivative of w(j). What is b in c(b) = 0?
-2, -1
Factor 16*i**4 - 64/3*i**3 + 20/3*i**2 + 0*i + 0.
4*i**2*(2*i - 1)*(6*i - 5)/3
Let u(x) = -3*x**2 + 60*x - 841. Let c(a) = 4*a**2 - 61*a + 841. Let z(g) = 2*c(g) + 3*u(g). Factor z(p).
-(p - 29)**2
Find n such that -2306910 - 109274 - 5*n**3 + 306809 - 84375*n - 1125*n**2 = 0.
-75
Let p(g) be the third derivative of 0*g**3 + 0*g**4 + 0*g - 8*g**2 + 1/6*g**5 + 0 + 1/24*g**6. Factor p(y).
5*y**2*(y + 2)
Suppose 1/5*t**3 + 35*t - 87/5 - 89/5*t**2 = 0. Calculate t.
1, 87
Let g(h) 