t is w?
0, 1/4, 1
Let u(d) be the third derivative of d**7/210 - d**6/60 - d**5/20 + d**4/6 + 2*d**3/3 - 2*d**2 - 8*d. Factor u(j).
(j - 2)**2*(j + 1)**2
Let s(b) = -24*b**4 - 74*b**3 + 150*b**2 - 80*b - 14. Let z(l) = 5*l**4 + 15*l**3 - 30*l**2 + 16*l + 3. Let j(y) = -3*s(y) - 14*z(y). Find h such that j(h) = 0.
-8, 0, 1
Determine r so that 1/11*r**4 + 0 - 4/11*r**3 - 1/11*r**2 + 4/11*r = 0.
-1, 0, 1, 4
Suppose -2*n + 0*n - 8 = c, -5*c = -n - 15. Determine p, given that 0*p - 2*p**3 - c*p - 4*p**2 + 6*p**2 + 2*p**2 = 0.
0, 1
Let v(u) be the second derivative of u**7/70 + u**6/25 - 21*u**5/100 + u**4/5 + 7*u + 2. Factor v(x).
3*x**2*(x - 1)**2*(x + 4)/5
Factor -68*r - 36 + 20*r + 6*r**3 - 10*r**4 + 9*r**2 + 7*r**4 + 12*r**3.
-3*(r - 6)*(r - 2)*(r + 1)**2
Let u(b) be the first derivative of b**5/15 - b**4/6 + b**3/9 + 80. Factor u(k).
k**2*(k - 1)**2/3
Let z = -19 - -23. Suppose 0 = -5*x + z + 6. Factor 3*g**2 + 6*g + 3 - 2 + x.
3*(g + 1)**2
Suppose -5*f = -f - 48. Suppose -5*k - f = -2*k. Let m(l) = -8*l**2 - 3*l - 11. Let r(d) = -3*d**2 - d - 4. Let q(z) = k*m(z) + 11*r(z). Factor q(s).
-s*(s - 1)
Let z(u) be the second derivative of -u**7/1260 + u**6/504 + u**5/210 + u**4/12 - 13*u. Let f(c) be the third derivative of z(c). Let f(p) = 0. Calculate p.
-2/7, 1
Let p = -25/144 + 961/144. Let -6*r + 2 + p*r**2 + 1/2*r**4 - 3*r**3 = 0. Calculate r.
1, 2
Let h = -1219/7 + 3664/21. Factor 25/3 + 46/3*n**2 + h*n**4 - 4*n**3 - 20*n.
(n - 5)**2*(n - 1)**2/3
Let d(q) = -5*q**4 + 11*q**3 + 15*q**2 - 21*q - 11. Let j(a) = a**4 - 2*a**3 - 3*a**2 + 4*a + 2. Let x(f) = -6*d(f) - 33*j(f). Factor x(t).
-3*t*(t - 1)**2*(t + 2)
Suppose -5*k + 69 = 2*r + 63, 4*k + 5*r = 15. Solve -2/3*d - 4/9*d**3 + 10/9*d**2 + k = 0 for d.
0, 1, 3/2
Let r = 157 + -153. Solve -93*c**3 - 17*c**2 - 44*c**2 + 13*c**2 + 31*c + 30 - 36*c**r + 8*c = 0 for c.
-5/4, -1, 2/3
Let q(j) = -j - 7. Let b be q(-10). Suppose 6*u - b*u = 48. Factor -2 - 2*y**4 + 4*y**2 + 4*y**3 + 14*y**5 - 2*y + 0*y - u*y**5.
-2*(y - 1)**2*(y + 1)**3
Let h(k) be the third derivative of -k**7/840 + 7*k**6/480 - 3*k**5/40 + 5*k**4/24 - k**3/3 - 94*k**2. Let h(v) = 0. Calculate v.
1, 2
Let w(b) = 16*b**2 + 62*b + 50. Let d(h) be the third derivative of 79*h**5/60 + 311*h**4/24 + 125*h**3/3 - 5*h**2. Let a(v) = 2*d(v) - 11*w(v). Factor a(k).
-2*(3*k + 5)**2
Determine i, given that -36/13*i + 202/13*i**2 - 16/13 - 56/13*i**5 + 114/13*i**4 + 392/13*i**3 = 0.
-1, -1/4, 2/7, 4
Let w(x) be the third derivative of x**6/80 - x**5/40 - x**4/8 - 14*x**2 + 6*x. Find s such that w(s) = 0.
-1, 0, 2
Let q(g) be the first derivative of -g**6/21 - 2*g**5/35 + 4*g**4/7 + 8*g**3/7 + 425. Factor q(h).
-2*h**2*(h - 3)*(h + 2)**2/7
Suppose 16*z = 6*z. Let a(r) be the second derivative of -5*r + 1/18*r**3 + z*r**4 - 1/60*r**5 + 0*r**2 + 0. Factor a(v).
-v*(v - 1)*(v + 1)/3
Let k(u) be the first derivative of -u**3/6 + 4*u**2 - 32*u + 101. Factor k(j).
-(j - 8)**2/2
Let k = -1/3983 - -11953/15932. Factor -k*q**2 - 147/4 + 21/2*q.
-3*(q - 7)**2/4
Let 193*w**2 + 11 - 382*w**2 + 49*w + 195*w**2 - 3 = 0. What is w?
-8, -1/6
Suppose -11*d = -15*d + 24. Let z(f) = 7*f**2 + f - 8. Let g(k) = -8*k**2 - k + 9. Let h(c) = d*g(c) + 7*z(c). Factor h(b).
(b - 1)*(b + 2)
Let w = 10 + -9. Suppose w = 4*m + 3*b, 3*m + 3*b + b + 8 = 0. Factor 2*h**4 + h**m + h**2 - 2*h**3 + 0*h**2 - 2*h**4.
h**2*(h - 1)**2
Let w(s) be the first derivative of -s**7/2100 - s**6/300 + s**5/300 + s**4/20 + 2*s**3 - 12. Let t(f) be the third derivative of w(f). Factor t(n).
-2*(n - 1)*(n + 1)*(n + 3)/5
Let c(m) be the third derivative of 25*m**2 + 0 + 0*m + 13/16*m**4 - 3/4*m**3 - 1/10*m**5. Find j such that c(j) = 0.
1/4, 3
Let w(y) be the third derivative of y**7/140 - y**6/180 - y**5/30 - y**3/3 + 4*y**2. Let o(p) be the first derivative of w(p). Factor o(v).
2*v*(v - 1)*(3*v + 2)
Let t(y) = -y**2. Let m(p) = -4*p**2 - 10*p + 15. Suppose -19*o + 15*o + 4 = 0. Let r(h) = o*m(h) + t(h). Solve r(d) = 0 for d.
-3, 1
Let i(n) = -50*n**2 - 125*n + 205. Let u(f) = f**3 + 2*f**2 + 4*f - 1. Let z(r) = i(r) - 5*u(r). Determine v, given that z(v) = 0.
-7, -6, 1
Suppose -310*t**3 - 323*t**3 + 643*t**3 - 2*t**5 - 2*t**4 - 6*t**2 = 0. Calculate t.
-3, 0, 1
Suppose 0 = 3*p - 24, -5*p + 30 = -4*o - o. Factor -1/2 + 1/2*v**o + 0*v.
(v - 1)*(v + 1)/2
Factor -11*h**2 - 23/2*h + 0 + 1/2*h**3.
h*(h - 23)*(h + 1)/2
Let s(k) = k**2 + 7*k. Let h(f) = -4*f**2 - 93*f - 1296. Let c(i) = h(i) + 3*s(i). Factor c(d).
-(d + 36)**2
Factor -1/5*k**3 + 8*k**2 + 0 - 80*k.
-k*(k - 20)**2/5
Let p(k) be the second derivative of -k**5/30 - 14*k**4/9 - 85*k**3/9 + 578*k**2 + 530*k. Factor p(o).
-2*(o - 6)*(o + 17)**2/3
Let v(y) = 7*y**3 + 3*y**2 - 5*y - 5. Let i(w) = -2*w**2 - 2*w + 14*w - 8*w - 4*w**3 - w + 3. Let u(o) = -10*i(o) - 6*v(o). Factor u(n).
-2*n**2*(n - 1)
Suppose -3*u - 21 - 12 = 0. Let f = -4 - u. What is d in -3*d**3 + 0*d**3 + 3*d**2 - d + f*d**4 - 6*d**4 = 0?
0, 1
Let i(f) be the third derivative of f**5/90 + 31*f**4/36 - 193*f**2 - f. Solve i(d) = 0.
-31, 0
Let x = -56 + 58. Factor 194 + g**x + g + 3*g - 191 + 0*g**2.
(g + 1)*(g + 3)
Let -128 - 1/2*u**2 - 16*u = 0. Calculate u.
-16
Let k(m) be the third derivative of -m**8/3360 - m**7/840 + m**6/720 + m**5/120 + 4*m**3/3 + m**2. Let a(x) be the first derivative of k(x). Factor a(r).
-r*(r - 1)*(r + 1)*(r + 2)/2
Let z(v) be the first derivative of 0*v**4 - 1/30*v**5 + 0*v**3 + 0*v + 4 - v**2. Let o(n) be the second derivative of z(n). Factor o(k).
-2*k**2
Let f be (8/2 - 3) + 0. Let m(k) = k**4 + k**3. Let r(s) = 5*s**2 - s**5 - 3*s**4 - 8*s**3 - 5*s**4 - 11*s**2 + 5*s**2. Let v(z) = f*r(z) + 5*m(z). Factor v(g).
-g**2*(g + 1)**3
Let i(y) be the first derivative of -2*y**5/5 - 26*y**4/5 - 8*y**3/3 - 280. Suppose i(l) = 0. What is l?
-10, -2/5, 0
Let g(i) be the third derivative of -7*i**6/1620 - i**5/108 + i**4/54 - 11*i**3/2 - 12*i**2. Let h(a) be the first derivative of g(a). Factor h(n).
-2*(n + 1)*(7*n - 2)/9
Let f(u) be the third derivative of 58/105*u**7 + 0*u**3 + 0 - 5/84*u**8 - 13/10*u**6 + 0*u - 3/5*u**5 + 19*u**2 + 0*u**4. Factor f(y).
-4*y**2*(y - 3)**2*(5*y + 1)
Let t(p) be the second derivative of p**4/3 + 8*p**3/3 - 192*p**2 + p + 269. Factor t(d).
4*(d - 8)*(d + 12)
Let p be (-154)/(-147) - (3 + -2). Let h(w) be the second derivative of w + p*w**4 + 0 + 1/21*w**3 + 0*w**2 + 1/70*w**5. Suppose h(c) = 0. What is c?
-1, 0
Let s(f) be the second derivative of f**4/32 + 73*f**3/16 + 27*f**2/2 - 228*f + 2. Suppose s(g) = 0. What is g?
-72, -1
Factor 1/3*c**3 + 0*c - 1/3*c**5 - 1/3*c**2 + 0 + 1/3*c**4.
-c**2*(c - 1)**2*(c + 1)/3
Let g(v) = -v**2 - 24*v - 61. Let s be g(-21). Suppose 3*o + 0*o = 0. Factor -2/7*k**s + o*k + 2/7.
-2*(k - 1)*(k + 1)/7
Let f(y) be the first derivative of -4*y**5/45 - y**4/28 + 2*y**3/63 + 5*y**2 - 15. Let s(n) be the second derivative of f(n). Factor s(k).
-2*(7*k + 2)*(8*k - 1)/21
Let g = -17012/7 - -17014/7. Factor -g*r**4 - 6/7*r**3 + 10/7*r**2 + 0 + 2/7*r**5 - 4/7*r.
2*r*(r - 1)**3*(r + 2)/7
Let j(y) be the third derivative of -y**6/30 + 8*y**5/5 - 14*y**4 - 1568*y**3/3 + 2*y**2 + 21*y. Factor j(w).
-4*(w - 14)**2*(w + 4)
Factor -136*m - 71/9*m**2 - 1/9*m**3 + 144.
-(m - 1)*(m + 36)**2/9
Let k(h) be the first derivative of 4*h**4 - 120*h**3 + 177*h**2/2 - 22*h - 28. Let k(y) = 0. What is y?
1/4, 22
Let i(l) = -8*l - 8*l**3 + 1 + 5*l + 4 + 16*l**2. Let z(h) = 12*h**3 - 24*h**2 + 4*h - 8. Let b(y) = -8*i(y) - 5*z(y). Factor b(x).
4*x*(x - 1)**2
Let v = -517 + 519. Determine m, given that -1/3*m**4 + 0*m**3 + m**v + 0 + 2/3*m = 0.
-1, 0, 2
Let t(f) be the third derivative of f**5/35 + 19*f**4/21 - 26*f**3/21 + 58*f**2. Factor t(h).
4*(h + 13)*(3*h - 1)/7
Let c(n) = -3*n - 15 - 15*n + 124 - 3*n**2 - 28. Let v(q) = q**2. Let r(o) = -c(o) - 4*v(o). Factor r(j).
-(j - 9)**2
Let s = 3400/3 + -37388/33. Find j such that s*j - 8/11*j**5 + 0 - 6/11*j**2 - 14/11*j**3 + 24/11*j**4 = 0.
-1/2, 0, 1/2, 1, 2
Let u(j) be the second derivative of -j**6/15 - j**5/10 + j**4/3 - 2*j + 25. Determine r, given that u(r) = 0.
-2, 0, 1
Let -q**5 + q**4 - 3*q**4 + 0*q**5 - q**5 + 4*q**3 = 0. What is q?
-2, 0, 1
Let j(x) be the second derivative of 0*x**2 + 1/8*x**4 - 9*x + 0 + 0*x**3 - 1/40*x**5. Factor j(v).
-v**2*(v - 3)/2
