. Factor 14*y**3 + 3*y + y + 19*y**2 + 5*y**4 - c*y**4 - 4.
(y + 1)*(y + 2)**2*(3*y - 1)
Let k(s) = 4*s + 6. Let l(p) = -p**2 + 22*p + 12. Let i(t) = -4*k(t) + 2*l(t). Determine y, given that i(y) = 0.
0, 14
Let l(r) = r**3 + 11*r**2 + 6*r + 4. Let p be l(-11). Let z = 65 + p. Suppose -4*v**2 + 2*v**z - 98*v - 93*v + 185*v = 0. What is v?
-1, 0, 3
Let n(g) = -2*g**3 + 23*g**2 - 28*g + 7. Let b(q) = 22168*q + 0*q**3 - q**3 - 1 - 22167*q + q**2. Let o(v) = 6*b(v) + 3*n(v). Find c such that o(c) = 0.
1/4, 1, 5
Let h = 135044 + -540161/4. Factor 5/2 + 5/4*r**2 + h*r.
5*(r + 1)*(r + 2)/4
Let h = -580582 - -2322331/4. Suppose 249/4*w - 21 - 243/4*w**2 + h*w**4 + 75/4*w**3 = 0. What is w?
-28, 1
Let d(l) = -2*l**4 + l**3 + 3*l**2 - l + 1. Let k(f) = -f**5 - 6*f**4 + 15*f**3 + 4*f**2 - 24*f + 20. Let w(t) = 4*d(t) - k(t). Determine v so that w(v) = 0.
-2, 1, 4
Let k(m) be the third derivative of -m**6/240 + 113*m**5/24 + 189*m**4/8 - 516*m**2. Find r, given that k(r) = 0.
-2, 0, 567
Suppose 548*h - 554*h = -9084. Suppose -1508 = 3*d - h. Determine v, given that 2 - 11/5*v + 1/5*v**d = 0.
1, 10
Let l = 555 + -550. Let r(s) be the first derivative of 0*s + 14/5*s**5 + 0*s**2 - 11 + 1/2*s**6 + l*s**4 + 8/3*s**3. Suppose r(b) = 0. What is b?
-2, -2/3, 0
Let p(r) be the first derivative of -3*r**4/20 + 237*r**3/5 - 354*r**2/5 - 2241. Factor p(c).
-3*c*(c - 236)*(c - 1)/5
Let z = -9 - -18. Suppose -5*u - 11 = -3*d, 10 + 20 = u + 4*d. Determine g so that 2 - 15*g**u + 3*g - z*g - 3*g**4 - 2 - 12*g**3 = 0.
-2, -1, 0
Let g(j) be the second derivative of -j**6/10 + 57*j**5/20 - 55*j**4/4 - 75*j**3/2 + 3633*j. Factor g(z).
-3*z*(z - 15)*(z - 5)*(z + 1)
Suppose 32/7 - 128/7*y**2 - 24/7*y - 30/7*y**3 = 0. What is y?
-4, -2/3, 2/5
Let t(o) be the first derivative of -20*o**3/21 + 1494*o**2/7 - 1192*o/7 - 13702. Solve t(d) = 0 for d.
2/5, 149
Let o = -433/8 - -6497/120. Let r(v) be the second derivative of -1/18*v**4 + o*v**5 + 0*v**3 + 0*v**2 + 22*v + 0. Factor r(a).
a**2*(a - 2)/3
Let p(a) be the first derivative of a**4/4 + 1. Let l(w) = 5*w + 46*w**2 - 41*w**2 + 0 - w**3 - 6*w**3 - 5. Let k(d) = -l(d) - 2*p(d). Factor k(v).
5*(v - 1)**2*(v + 1)
Let k(l) = 20*l**3 + 46*l**2 + 3*l + 2. Suppose -12*n - 40 - 8 = 0. Let t(b) = 19*b**3 + 45*b**2 + 3*b + 3. Let m(h) = n*t(h) + 5*k(h). Factor m(f).
(f + 2)*(4*f + 1)*(6*f - 1)
Let x(g) be the second derivative of 4/7*g**3 + 0 + 35*g + 0*g**2 + 26/105*g**6 + 22/21*g**4 + 11/14*g**5 + 1/49*g**7. What is j in x(j) = 0?
-6, -1, -2/3, 0
Suppose -2*l = 4*u + 3*l - 23, -u + 5*l = -37. Let h be ((-2)/12)/((-11)/(u - -87)). Factor -1/3*r - h*r**2 + 0.
-r*(9*r + 2)/6
Let b be (-168)/(-392) + 3/(504/(-30)). Factor 1 - b*z**2 + 0*z.
-(z - 2)*(z + 2)/4
Let p(k) = 7*k**3 - 2996*k**2 - 13*k - 26. Let n(o) = -o**3 + 499*o**2 + 2*o + 4. Let a(r) = 13*n(r) + 2*p(r). Factor a(s).
s**2*(s + 495)
Let g be (-9)/(-99)*(-2)/4*-1. Let m(o) be the first derivative of g*o**4 + 8/11*o + 10 + 4/11*o**3 + 9/11*o**2. Factor m(z).
2*(z + 1)**2*(z + 4)/11
Let c(r) = 5 + 42*r - 3*r**2 - r**2 - 3*r**2 + 2 - 15*r. Let k(p) = -3*p**2 + 13*p + 4. Let v(m) = 4*c(m) - 9*k(m). Factor v(u).
-(u + 1)*(u + 8)
Let v = -751 - -754. Factor s**3 - 12*s - 3*s**3 + 10*s**2 - 3*s**v + 37*s**2 + 9*s**3.
s*(s + 12)*(4*s - 1)
Let z(w) = 2*w**3 - w**2 + w. Let l(p) = 16*p**3 - 45*p**2 - 33*p. Let j(t) = 2*l(t) - 14*z(t). Suppose j(x) = 0. What is x?
-1, 0, 20
Let b(c) = -251*c - 6273. Let t be b(-25). Let s(q) be the first derivative of -1/18*q**4 + 30 - 1/3*q**t - 2/9*q**3 - 2/9*q. Solve s(j) = 0.
-1
Let y(w) be the second derivative of -1/18*w**3 - 2*w - 50 + 0*w**2 - 1/120*w**5 + 1/24*w**4. Determine u so that y(u) = 0.
0, 1, 2
Suppose -2*f = -4*j + 66, -2*j + 5*f + 2 + 35 = 0. Let d be (1*100/j)/((-2)/(-8)). Solve -5*t - t**2 + 6*t**2 + d*t = 0 for t.
-4, 0
Let f(h) be the first derivative of 169 + 28*h**3 - 1/2*h**4 + h**2 - 84*h. Determine x, given that f(x) = 0.
-1, 1, 42
Let a(t) = -3*t**2 + 79*t - 194. Let v(p) = -2*p**2 - 6*p - 4. Let u(f) = 2*a(f) - 4*v(f). Factor u(i).
2*(i - 2)*(i + 93)
Suppose 0 = -63*p - 613*p + 130*p + 1092. Determine u so that -75/2*u**p - 6 + 78*u = 0.
2/25, 2
Let c be (-71 - -53)*((-22)/18 - 8/(-8)). Suppose -3/2*u**c + 3/4*u - 9/2*u**2 - 21/4*u**3 + 3/2 = 0. What is u?
-2, -1, 1/2
Let d(w) = 247*w + 1235. Let a be d(-5). Let t(h) be the third derivative of -3/20*h**4 - 1/50*h**5 + 0*h + a + 0*h**3 - h**2. Solve t(q) = 0 for q.
-3, 0
Let z(l) be the first derivative of l**4/6 - 22*l**3/3 - 23*l**2 + 41*l - 5. Let b(y) be the first derivative of z(y). Factor b(s).
2*(s - 23)*(s + 1)
Let p(z) be the first derivative of 4*z**4/3 + 46*z**3/9 - z**2 + 2390. Factor p(t).
2*t*(t + 3)*(8*t - 1)/3
Factor -2/5*h**3 + 4/5*h**2 + 4 + 26/5*h.
-2*(h - 5)*(h + 1)*(h + 2)/5
Let w(i) be the first derivative of -4*i**3/3 + 368*i**2 + 740*i - 3193. Factor w(d).
-4*(d - 185)*(d + 1)
Let l(r) be the third derivative of 2*r**2 + 3/8*r**4 + 0 + 20*r - 9*r**3 + 1/20*r**5. Factor l(b).
3*(b - 3)*(b + 6)
Let x(f) be the third derivative of -3/70*f**7 + 156/7*f**4 - 37 + 0*f + 1/784*f**8 + 641/140*f**5 + 338/7*f**3 + 47/280*f**6 - 2*f**2. Solve x(h) = 0.
-2, -1, 13
Let i be (-2)/(1 - 3)*5. Let t = 877077/2 - 438526. Solve 5*y**3 + i + 5/2*y - t*y**2 = 0.
-1/2, 1, 2
Let l(g) be the second derivative of g**4/54 + 2750*g**3/27 + 1890625*g**2/9 - 2205*g. Let l(u) = 0. Calculate u.
-1375
Let l be 2/((-6)/9) - (1 - 2). Let c(h) = 2*h**2 + 2*h - 2. Let r be c(l). Solve 15*g**r + 125*g + 4 + 1 - 105*g = 0.
-1, -1/3
Let k(y) be the second derivative of -y**4/3 - 34*y**3/3 + 5340*y. Find j such that k(j) = 0.
-17, 0
Let o(s) = s**3 + s**2 + 4*s - 24. Let k be o(0). Let f be (-36)/(-16) - (-6)/k. Find z, given that 0 - 1/9*z**3 + 4/9*z + 0*z**f = 0.
-2, 0, 2
Let p(j) be the second derivative of -33*j - 1/4*j**5 - 5/4*j**4 - 5/2*j**3 + 0 - 5/2*j**2. Factor p(u).
-5*(u + 1)**3
Let y(n) be the third derivative of 1/180*n**5 - n**2 + 1/3*n**4 + 11*n + 23/18*n**3 + 0. Solve y(l) = 0.
-23, -1
Suppose 22*v = -5213 - 28931. Let y = v + 17084/11. Let y*o + 18/11 + 2/11*o**2 = 0. Calculate o.
-3
Let w(a) be the second derivative of 1/8*a**3 + 3/160*a**5 + 111*a + 0 + 5/32*a**4 - 3/2*a**2. Let w(v) = 0. What is v?
-4, -2, 1
Let c(j) be the second derivative of j**6/6 + 153*j**5/4 - 785*j**4/2 + 4750*j**3/3 - 3180*j**2 + 44*j + 3. Find a such that c(a) = 0.
-159, 2
Let j(c) be the first derivative of 0*c - 29/10*c**2 + 1/30*c**3 - 101. Find f such that j(f) = 0.
0, 58
Let k(u) be the first derivative of -3*u**4/4 - 36*u**3 - 855*u**2/2 + 2166*u - 111. Factor k(s).
-3*(s - 2)*(s + 19)**2
Let b(r) = r**3 - 25*r**2 + 120*r - 156. Let t(a) = a**3 - 26*a**2 + 119*a - 154. Let f(n) = 3*b(n) - 2*t(n). Factor f(v).
(v - 16)*(v - 5)*(v - 2)
Let a be (-5205)/(-1388)*3/15. Factor -a*w**4 - 1/4*w**3 + 1/4*w**5 + 0*w + 0 + 3/4*w**2.
w**2*(w - 3)*(w - 1)*(w + 1)/4
Factor -1 + 1 + 36*m**4 - 65*m**4 - 4*m**5 + 17*m**4.
-4*m**4*(m + 3)
Let h = -110766 + 110770. Determine i so that 68/7*i**3 + 2*i**h - 6/7*i**5 + 2/7*i - 10/7 + 60/7*i**2 = 0.
-1, 1/3, 5
Factor -9289*w - 178 + 9864*w - 126 - 196 + 30*w**2.
5*(w + 20)*(6*w - 5)
Let l(a) = -6*a - 8. Let f be (0/4 - -2)*-1*-1. Let g(x) = x**2 - 5*x - 9. Suppose q - 2 = -5. Let n(u) = f*g(u) + q*l(u). Find c such that n(c) = 0.
-3, -1
Let n be (4332/(-15))/(1 + 327/(-285)). Suppose n + 2166/7*w + 2/7*w**3 + 114/7*w**2 = 0. Calculate w.
-19
Let t(p) be the first derivative of 18*p**2 - 15 + 0*p - p**4 - 32/3*p**3. Factor t(z).
-4*z*(z - 1)*(z + 9)
Suppose 6*o**2 - 1 - 47/6*o + 17/6*o**3 = 0. What is o?
-3, -2/17, 1
Let i(r) be the third derivative of -r**6/40 - 19*r**5/20 + 63*r**4/4 + 72*r**3 + 2292*r**2. Find v, given that i(v) = 0.
-24, -1, 6
Let w(g) = 3*g**2 + 7*g - 5. Let y be w(5). Let f = 108 - y. Find r, given that 10*r**f + 2*r**4 - 7*r**2 + 16*r**2 + 14*r + 0*r**4 + 9*r**2 + 4 = 0.
-2, -1
Let m = 53 + -47. Suppose -m*q + 12 = -2*q. Determine n so that -5*n - 10 + 26 + 5*n**2 - 5*n**4 - 16 + 5*n**q = 0.
-1, 0, 1
Let j(l) be the third derivative of -l**6/3 - l**5/15 + 5*l**4/3 + 2*l**3/3 + 1107*l**2. Factor j(i).
-4*(i - 1)*(i + 1)*(10*i + 1)
Suppose 29*u - 53 = 24*u - s, -4*u = 3*s - 49. Let m(y) be the first derivative of 0*y + 27/4*y**4 - u + 21