5 + 3*y**5/2 + 38*y**4/15 - 5*y + 114. Factor r(w).
-2*w**2*(w - 76)*(w + 1)/5
Let i(y) be the first derivative of 2*y**5/85 - 13*y**4/34 + 4*y**3/17 + 352*y**2/17 - 1280*y/17 - 1770. Find j, given that i(j) = 0.
-5, 2, 8
Let b(i) = -i**4 + 147*i**3 - 5176*i**2 + 9935*i - 4895. Let j(f) = f**4 - 146*f**3 + 5177*f**2 - 9936*f + 4896. Let w(c) = -4*b(c) - 5*j(c). Factor w(d).
-(d - 70)**2*(d - 1)**2
Let o(k) = k**3 + 4*k**2 - 8*k - 29. Let s be o(-4). Factor 64*f**2 + 63*f**2 + 533*f + 4*f**s + 491*f + f**2.
4*f*(f + 16)**2
Determine z, given that 117/7*z**5 - 45*z**2 + 0 - 54/7*z - 519/7*z**3 - 141/7*z**4 = 0.
-1, -6/13, -1/3, 0, 3
What is a in 16/3 - 100/3*a**3 + 26/3*a**4 + 100/3*a - 14*a**2 = 0?
-1, -2/13, 1, 4
Suppose -2 + 25 + 19 + 43 - 9*y**2 + 10*y**2 - 22*y = 0. Calculate y.
5, 17
Determine l so that 28 + 31/3*l + 1/3*l**2 = 0.
-28, -3
Let q(n) = 21*n**2 - 321*n - 360. Let b(f) be the second derivative of -f**4/2 + 46*f**3/3 + 103*f**2/2 - 4*f - 2. Let d(w) = -18*b(w) - 5*q(w). Factor d(g).
3*(g - 18)*(g + 1)
Let k(t) be the first derivative of 0*t**5 - 6*t**2 - 2/3*t**3 + 7/4*t**4 + 61 + 8*t - 1/6*t**6. Solve k(i) = 0 for i.
-2, 1, 2
Suppose 20*c - 13*c = -147. Let o(a) = a**3 - 5*a**2 + 7*a - 3. Let q(p) = 3*p**3 - 15*p**2 + 21*p - 9. Let z(n) = c*o(n) + 6*q(n). Factor z(i).
-3*(i - 3)*(i - 1)**2
Let h be 1/(-12)*(4 - 7). Let j = -665 + 667. Determine w, given that h*w**j + 1/4*w**3 - 1/2*w + 0 = 0.
-2, 0, 1
Suppose -4*x = 3*l - 10, -4*x + 9 - 3 = l. Suppose -4*y = -4*u + 8, 5*y - 2*u - l = -0*u. Factor -1/3*o**y + 0 + 7/3*o.
-o*(o - 7)/3
Let d(a) = -5*a**2 + 62*a + 10. Let i be d(11). Find y such that 31*y**3 - 84*y + i*y - 7*y**3 + 18*y**2 = 0.
-1/2, -1/4, 0
Find k, given that 0*k + 0 + 48/11*k**2 - 28/11*k**3 + 2/11*k**4 = 0.
0, 2, 12
Let h be (-3)/((117/12)/(-13)). Solve 16*w + 12*w**2 - h*w**3 + 2237 - 2237 = 0 for w.
-1, 0, 4
Suppose -13*u + 49 = -2*f - 7, 54 = -3*u - 4*f. Factor 24/5*i + 27/5 - 3/5*i**u.
-3*(i - 9)*(i + 1)/5
Factor -1/6*k**4 - 125/6*k**2 - 125/3*k - 10/3*k**3 + 0.
-k*(k + 5)**2*(k + 10)/6
Let r(c) be the first derivative of -7*c**5 + 255/4*c**4 - 135*c**3 + 130*c**2 - 60*c - 5/2*c**6 + 62. Find n, given that r(n) = 0.
-6, 2/3, 1
What is x in -41*x**2 - 300 - 76*x**2 - 13*x**3 - 100*x + 129*x**2 + 17*x**3 = 0?
-5, -3, 5
Let b be 73 + 8/((-16)/(-6)). Solve -6*u**5 - 50*u**3 + 16 + 7*u + 4*u**5 + b*u**2 + 16*u**4 - 36*u - 27*u = 0 for u.
1, 2
Let y(k) = -5*k**2 + 129*k + 4359. Let w be 8/12*(-18)/(-4). Let g(s) = -3*s**2 + 130*s + 4358. Let o(m) = w*g(m) - 2*y(m). Suppose o(c) = 0. What is c?
-66
Let j(t) be the second derivative of 43/16*t**5 + 175/3*t**3 + 17/24*t**6 - 257*t - 1205/48*t**4 + 5/168*t**7 - 125/2*t**2 + 0. Factor j(m).
5*(m - 1)**3*(m + 10)**2/4
Let p = 157 - 153. Let u = 10 - 5. What is x in 0*x**4 + x**u + x**p - x**4 = 0?
0
Let q(g) be the first derivative of -2*g**3/27 + 18*g**2 + 1360. Factor q(f).
-2*f*(f - 162)/9
Suppose 0 = -176*g + 174*g - 2*h + 8, -2*g + 11 = -h. Let p(w) be the second derivative of 1/8*w**2 - 23*w + 0 + 1/24*w**3 - 1/48*w**4 - 1/80*w**g. Factor p(t).
-(t - 1)*(t + 1)**2/4
Let y be 0/((-4)/(-26) - 7344/(-3978)). What is g in 1/9*g**2 + 1/9*g + y = 0?
-1, 0
Let -43/4*t**2 - 1/4*t**3 - 29*t + 40 = 0. Calculate t.
-40, -4, 1
Let c be (-3 - (3756/(-252) - 9)) + 2 + -11. Suppose -10/7*t**2 - 2/21*t**3 - c - 50/7*t = 0. Calculate t.
-5
Let s(o) = o**3 - 5*o**2 + 4*o. Let z be s(4). Let r(c) = c**2 - 4*c + 3. Let y be r(z). Solve 2*u - 3*u**2 - 59*u**y + u**4 + 59*u**3 = 0 for u.
-2, 0, 1
Let f(l) be the second derivative of -l**2 + 1/18*l**4 + 2/9*l**3 + 255*l + 0. Factor f(n).
2*(n - 1)*(n + 3)/3
Let p(u) be the third derivative of 3*u**6/40 + 167*u**5/20 - 7*u**4 + 20*u**2 - 2*u - 120. Factor p(f).
3*f*(f + 56)*(3*f - 1)
Let s be 16 + (-4428)/280 + (-74)/(-740). Factor -s*c**2 - 4*c - 48/7.
-2*(c + 2)*(c + 12)/7
Let r = -294 - 89. Let q = r - -1150/3. Let -2 - 1/3*k + q*k**2 = 0. Calculate k.
-2, 3
Let u = 396901/105 + -3780. Let w(f) be the second derivative of -1/14*f**5 + 0 - 16*f + u*f**6 + 0*f**2 + 4/21*f**4 - 4/21*f**3. Factor w(v).
2*v*(v - 2)**2*(v - 1)/7
Suppose 4*z = -4*i, -11*z = -14*z - 12. Factor k**2 + 47 + i*k - 79 + 10*k.
(k - 2)*(k + 16)
Let u = 112660 + -112657. Solve -21/2*j - 3/2 - 189/8*j**2 - 135/8*j**u = 0 for j.
-2/3, -2/5, -1/3
Let f(k) be the first derivative of -4*k**5/25 + 36*k**4/5 + 1928*k**3/15 + 648*k**2 + 940*k - 1564. Find o, given that f(o) = 0.
-5, -1, 47
Let c = 139 - 89. Suppose -20*m - c = -25*m. Factor 3*n + 2*n + 5*n**3 + 0*n**3 - m*n**2.
5*n*(n - 1)**2
Let g(b) be the second derivative of b**5/5 + 16*b**4/3 - 70*b**3/3 + 36*b**2 + 332*b. Factor g(z).
4*(z - 1)**2*(z + 18)
Let f(y) be the first derivative of 2*y**5/35 - 37*y**4/28 - 8*y**3/7 + 97*y**2/14 - 38*y/7 + 618. Let f(q) = 0. Calculate q.
-2, 1/2, 1, 19
Factor 29241/2 + 1/2*r**2 - 171*r.
(r - 171)**2/2
Let c be 31/30*5 - 1/6. Let v be 37/c - 168/(-280). Factor 0 + 20/3*z**4 + 0*z - v*z**3 + 0*z**2 - 4/3*z**5.
-4*z**3*(z - 3)*(z - 2)/3
Let a(o) be the second derivative of -o**6/1440 - o**5/480 + o**4/8 + 2*o**3 + 3*o. Let n(u) be the second derivative of a(u). Solve n(b) = 0 for b.
-4, 3
Let l(k) = 14*k - 25. Let n be l(2). Suppose -4*t - 2 = -10. Factor 14*x**t + 4*x + 64 + 8*x**n - 8*x**4 - 64.
-2*x*(x - 2)*(2*x + 1)**2
Let s be (6 - 39/6)/((-15)/24). Let a be (-7 + 352/40)/((-3)/(-4)). What is x in -8/5*x - a*x**2 + 0 + 12/5*x**4 + 4/5*x**3 + s*x**5 = 0?
-2, -1, 0, 1
Let x(b) be the third derivative of b**5/120 - 1177*b**4/8 + 4155987*b**3/4 + 10739*b**2. Suppose x(r) = 0. What is r?
3531
Let j(s) be the third derivative of -1/210*s**5 - 4/21*s**3 - 19 - 2*s**2 + 0*s - 1/21*s**4. Factor j(a).
-2*(a + 2)**2/7
Let u(l) be the second derivative of -l**4/60 + l**3/10 + 14*l**2/5 - 457*l - 6. Let u(w) = 0. Calculate w.
-4, 7
Let y(g) be the third derivative of -g**5/40 + 3*g**4/16 + 22*g**3 - 14*g**2 + 11*g. Factor y(l).
-3*(l - 11)*(l + 8)/2
Let k be 4*((-57)/(-12) + -4). Suppose 19*i = -5*s + 14*i + 30, -k*i = -12. Solve -2/5 - s*t + 12/5*t**2 = 0.
-1/6, 1
Let d(w) = w - 10. Let x be d(14). Suppose -10 = -x*n - n. Factor -3*s**n + s**2 + 6 + 3*s - 3*s**3 - 6*s**2 + 2*s**2.
-3*(s - 1)*(s + 1)*(s + 2)
Let 6*v**3 + v**4 - 3 + 360*v**2 + 2*v**4 - 360*v**2 - 6*v = 0. Calculate v.
-1, 1
Find c such that 5/2*c**4 + 19/2*c**3 - 29/2*c**2 + 0 - 1/2*c**5 - 21*c = 0.
-3, -1, 0, 2, 7
Let j(z) be the third derivative of 0*z**3 + 0 + 130*z**2 + 1/168*z**8 + 0*z - 1/30*z**5 + 1/2*z**4 - 7/60*z**6 + 1/105*z**7. Find i such that j(i) = 0.
-3, -1, 0, 1, 2
Let q(d) = 3*d**2 + 19*d + 21. Let u be 254/50 + (-10)/125. Let l(v) = -5 + 4*v**2 + 3 + 34 + 28*v. Let i(o) = u*l(o) - 8*q(o). Determine b so that i(b) = 0.
-2, -1
Let n(r) = -3*r**4 - r**3 + r - 5. Let d(o) = -11*o**4 + 14*o**3 + 51*o**2 - 66*o - 20. Let f(s) = 5*d(s) - 20*n(s). Suppose f(z) = 0. What is z?
-14, -5, 0, 1
Let k(x) be the third derivative of x**5/20 + 8*x**4 + 63*x**3/2 - 476*x**2. Factor k(d).
3*(d + 1)*(d + 63)
Suppose 0 = 479*u - 300*u - 537. Factor 52/7*o - 8/7 - 10*o**2 - 7*o**u.
-(o + 2)*(7*o - 2)**2/7
Let b(h) = -9*h**2 + 89*h + 5. Let t(v) = -10*v**2 + 109*v + 5. Let w(r) = 4*b(r) - 3*t(r). Suppose w(o) = 0. Calculate o.
-1/6, 5
Let w(k) = -k**3 + 2*k - k**3 + 2 - k**3. Let p be (288/(-60))/(-6) + (-102)/(-10). Let h(y) = 16*y**3 - 11*y - 11. Let f(j) = p*w(j) + 2*h(j). Factor f(m).
-m**3
Let j(v) be the third derivative of 1/300*v**5 + 0*v + 1/6*v**4 + 0 + 40*v**2 + 10/3*v**3. Determine u so that j(u) = 0.
-10
Let i(f) be the third derivative of -f**6/120 + f**5/30 + f**4/12 - 3*f**2 - 32*f. Let h(d) = -d**3 + 2*d**2 + d. Let c(v) = 3*h(v) - 2*i(v). Factor c(r).
-r*(r - 1)**2
Let b(l) be the second derivative of l**7/21 + 3*l**6/5 - 97*l**5/10 - 35*l**4/2 - 59*l. Solve b(z) = 0 for z.
-15, -1, 0, 7
Suppose 0 = 2*l + w, 2*w = 5*w - 6. Let p be l + (280/21)/10. Find s, given that 2/3*s**3 + 0 + 0*s**2 - p*s**4 + 0*s = 0.
0, 2
Let k(m) be the third derivative of m**5/15 - 1220*m**4/3 + 2976800*m**3/3 + 61*m**2. Factor k(t).
4*(t - 1220)**2
Let 3742/3*s - 3740/3*s**2 - 2/3 = 0. What is s?
1/1870, 1
Suppose 3*v + 24 + 18 = 2*w, 3*v + 18 = 0. Let n(s) be the first derivative of 0*s**2 - 1/4*s**3 + 0*s - w. Factor n(g).
-