ative of -23/2*j**4 + 16/3*j**6 - 16/5*j**5 + 14/3*j**3 + 2*j + 7*j**2 + p. What is c in r(c) = 0?
-1, -1/4, 1
Let h be ((-3)/6)/(2/(-12)). Let f(y) be the first derivative of 1/2*y + 4 - 1/4*y**2 + 1/8*y**4 - 1/6*y**h. Factor f(k).
(k - 1)**2*(k + 1)/2
Let b(z) be the first derivative of -z**6/14 + 24*z**5/35 + 57*z**4/28 + 10*z**3/7 + 47. Suppose b(p) = 0. What is p?
-1, 0, 10
Suppose -70*a - 20 + 160 = 0. Factor 0*r**3 + 0 + 2/11*r**4 - 6/11*r**a - 4/11*r.
2*r*(r - 2)*(r + 1)**2/11
Let r be 11/33*(-3 + 3)/(-3). Factor r - 5/6*d**2 + 0*d.
-5*d**2/6
Factor 21*i + 5 + 14 + 8 - 45 - 3*i**3.
-3*(i - 2)*(i - 1)*(i + 3)
Let r(w) = -w**2 + 14*w - 14. Let z be r(10). Let f = z + -26. Let -2/11*d**4 + 0 + f*d + 4/11*d**2 + 2/11*d**3 = 0. What is d?
-1, 0, 2
Let y = 10 + -7. Factor 3*o - 2*o**5 - 13*o**y + 8*o**2 + o**3 + o - 6*o + 8*o**4.
-2*o*(o - 1)**4
Let o(j) be the second derivative of j**4 + 0*j**2 + 0 + 6*j**3 + 20*j + 1/20*j**5. Factor o(y).
y*(y + 6)**2
Suppose -3*g + 8 + 3 = w, g - 5*w + 7 = 0. Factor 27 - 12 - 6 - g*n**2 - 6*n.
-3*(n - 1)*(n + 3)
Solve -6 - 20*y**2 + 56/9*y**3 + 24*y - 2/3*y**4 = 0 for y.
1/3, 3
Factor 36/7 - 111/7*j - 45/7*j**3 + 117/7*j**2 + 3/7*j**4.
3*(j - 12)*(j - 1)**3/7
Let l(z) = z**4 - 3*z**2 + z. Let q(b) = -4*b**4 + 26*b**3 + 64*b**2 + 25*b. Let n(p) = 3*l(p) + q(p). Find m such that n(m) = 0.
-1, 0, 28
Suppose 4*z - 2*f - 54 = -52, -4*z + 5*f = 7. Factor -8/5 - 16/5*b**z - 36/5*b.
-4*(b + 2)*(4*b + 1)/5
Let g(a) be the first derivative of -2 + 4*a**2 + 4*a + 4/3*a**3. Factor g(m).
4*(m + 1)**2
Suppose 107*t + 6 = 3*h + 108*t, -3*h - 4*t + 24 = 0. Factor h - 1/3*l**2 + l - l**3 + 1/3*l**4.
l*(l - 3)*(l - 1)*(l + 1)/3
Determine f, given that 162/5 + 49/5*f**3 + 224/5*f**2 + 333/5*f = 0.
-2, -9/7
Suppose -2*p = 2*p - 8. Factor -2*r**2 + 6*r**2 + 6*r + 4 + p*r**2 - 4*r**2.
2*(r + 1)*(r + 2)
Let i(j) = -j**4 + 35*j**3 + 3*j**2 - 39*j - 2. Let a(w) = -5*w**4 + 173*w**3 + 16*w**2 - 195*w - 11. Let l(v) = -2*a(v) + 11*i(v). Find p such that l(p) = 0.
-1, 0, 1, 39
Solve 2*b**3 + 7*b**3 - 59*b**4 + 6*b**3 + 37*b**4 + 12*b**2 + 25*b**4 = 0.
-4, -1, 0
Let n = -3 - -3. Let l be (29 - 23)*(1 - (-29)/(-30)). Determine d so that 2/5*d**2 - 1/5 + n*d**3 - l*d**4 + 0*d = 0.
-1, 1
Let q(b) = 21*b**4 - b**3 - 2. Let w = 24 - 22. Let s(t) be the third derivative of t**5/60 - t**3/6 + t**2. Let i(o) = w*q(o) - 4*s(o). What is n in i(n) = 0?
-2/7, 0, 1/3
Let q be (-23)/(-7) - 20/70. Factor 12*j**2 - 3*j**q - 17*j + 9*j - j**3.
-4*j*(j - 2)*(j - 1)
Let m(x) be the second derivative of x**7/1120 - x**6/240 + x**5/160 + 5*x**4/4 - 17*x. Let z(f) be the third derivative of m(f). Let z(d) = 0. Calculate d.
1/3, 1
Solve -1/2*r**5 - 11/2*r**3 + 25/2*r**2 + 12*r - 14 - 9/2*r**4 = 0.
-7, -2, 1
Let n(z) be the second derivative of -z**7/630 - z**6/90 + 17*z**4/6 - 20*z. Let v(a) be the third derivative of n(a). Factor v(u).
-4*u*(u + 2)
Let w(k) = -5*k**2 + 2*k - 3. Let m(j) = 14*j**2 - 6*j + 9. Suppose 8 = 2*n - 4. Let z(c) = n*m(c) + 17*w(c). Solve z(s) = 0 for s.
-3, 1
Let d = -262 - -1311/5. Let c(p) be the first derivative of d*p**3 + 9/10*p**2 + 6/5*p + 3. Find v, given that c(v) = 0.
-2, -1
Let w = -24 + 25. Let f be (1/2 - w)/((-14)/4). Factor -f*l**2 + 0 + 1/7*l.
-l*(l - 1)/7
Let u be (-58)/18 + 3 + 87/27. Factor -4*x**2 - 5*x**2 + 0*x**2 - 2*x**4 + 8*x**3 + u*x**2.
-2*x**2*(x - 3)*(x - 1)
Let g(i) be the second derivative of -2/3*i**3 + 0 + 6*i + 0*i**2 + 1/3*i**4. Let g(x) = 0. Calculate x.
0, 1
Factor -1/4*k**3 - 2*k**2 + 53/4*k + 15.
-(k - 5)*(k + 1)*(k + 12)/4
Let s(o) be the third derivative of -1/6*o**3 - 15*o**2 + 1/72*o**4 - 1/360*o**6 + 0 + 1/60*o**5 + 0*o. Factor s(w).
-(w - 3)*(w - 1)*(w + 1)/3
Suppose -4*w = 0, -5*n - w + 50 = -3*w. Suppose 6 = -4*x - 5*k + 34, -k = 3*x - n. Factor 32*a**2 + 4*a**5 + 40*a**3 + 4 + 7*a**x + a**2 + 20*a + 20*a**4.
4*(a + 1)**5
Let h be (1/(-2))/((-5)/40). Suppose -h*k = -2*o - 16, -6*k = -2*k - o - 14. Factor -17*b**2 + 23*b**2 - 3*b**k + 6*b**3 + 3*b.
3*b*(b + 1)**2
Let k(f) be the first derivative of f**4/30 - 4*f**2/5 + 22*f - 4. Let q(c) be the first derivative of k(c). Factor q(x).
2*(x - 2)*(x + 2)/5
Let -32 + 27*m - 2*m**2 + 58*m - 101*m = 0. Calculate m.
-4
Let d = -3484450/21 - -165874. Let z = 160/3 + d. Determine a, given that -2/7*a + 10/7*a**3 + 6/7*a**2 - 6/7*a**4 + 0 - z*a**5 = 0.
-1, 0, 1/4, 1
Let c = 18 + -13. Suppose 0*j = -o - 4*j + 2, 2*o - c*j = 4. Factor 9*n**5 + 4*n**3 + 3*n + o*n**3 - 9*n - 21*n**4 + 9*n**2 + 3*n**3.
3*n*(n - 1)**3*(3*n + 2)
Let g be 0 + 5/20 - (-7)/4. Let 14 + 35*y**3 + 2 - 1 - 25*y**g + 15 - 5*y**4 - 35*y = 0. Calculate y.
-1, 1, 6
Let h(y) be the third derivative of -y**7/560 + 3*y**6/320 + 9*y**5/160 + 5*y**4/64 + 4*y**2 + 15*y. Factor h(u).
-3*u*(u - 5)*(u + 1)**2/8
Let n(g) be the second derivative of -g**4/16 - 45*g**3/2 - 6075*g**2/2 - 358*g. Solve n(a) = 0.
-90
Suppose -2*t - 4 = -2*n - 0, 2*n + 3*t - 14 = 0. Suppose o - n*o + 12 = 0. Find b, given that -11 - 28*b**2 + 16*b**4 + 36 + 4*b**3 - o*b - 3 - 10 = 0.
-1, 3/4, 1
Let z(g) be the third derivative of g**6/450 - 11*g**5/450 + g**4/45 + g**3/9 - 170*g**2. Factor z(u).
2*(u - 5)*(u - 1)*(2*u + 1)/15
Let p(v) be the third derivative of -v**7/70 + 3*v**6/40 - v**5/20 - 3*v**4/8 + v**3 + 178*v**2 - 2. Solve p(r) = 0.
-1, 1, 2
Let q(v) be the second derivative of 1/40*v**5 - 43*v + 0 + 1/12*v**4 + 1/12*v**3 + 0*v**2. Factor q(w).
w*(w + 1)**2/2
Suppose 5*r = 8*r - 4*d - 22, 5*r + 4*d = 26. Let n be r/15 - (-104)/140. Factor -n*q**2 + 4/7*q**3 + 0 + 4/7*q.
4*q*(q - 1)**2/7
Let v(l) be the second derivative of -l**7/210 + l**5/50 - l**3/30 + 2*l - 6. Factor v(x).
-x*(x - 1)**2*(x + 1)**2/5
Let h(c) be the second derivative of -c**6/15 + 11*c**5/10 + c**4/2 - 35*c**3/3 + 22*c**2 - 144*c. Factor h(b).
-2*(b - 11)*(b - 1)**2*(b + 2)
Let h(x) be the first derivative of -x**4/10 + 8*x**3/15 + 7*x**2/5 - 4*x - 136. Suppose h(u) = 0. Calculate u.
-2, 1, 5
Let u(v) be the third derivative of -v**7/630 + v**6/120 - v**5/180 - v**4/24 + v**3/9 - 14*v**2. Factor u(y).
-(y - 2)*(y - 1)**2*(y + 1)/3
Suppose 2*h - 4*c - 28 = 0, 5*c + 45 = 4*h + h. Factor -h*j**2 + 22 - j**2 - 22.
-5*j**2
Suppose -50*c + 44 + 89 = -67. Find s such that 3/4*s**3 + 9/4*s**2 - 3/8*s - 9/8*s**c - 3/8*s**5 - 9/8 = 0.
-3, -1, 1
Let d = 7 + 0. Factor 6 + 13*z - 5*z - 4*z**3 + d*z**3 + 7*z + 12*z**2.
3*(z + 1)**2*(z + 2)
Suppose -2*o = d + d, -4*o = -3*d - 35. Suppose -2*w - 5*s + 6 = -o, 2*w - 4*s = 2. Solve -1/5*p - 3/5*p**2 - 3/5*p**w - 1/5*p**4 + 0 = 0.
-1, 0
Let c(l) be the first derivative of 2*l**6/15 - l**5/5 - l**4 + 2*l**3/3 + 4*l**2 + 19*l + 16. Let r(f) be the first derivative of c(f). Factor r(b).
4*(b - 2)*(b - 1)*(b + 1)**2
Let h(b) be the first derivative of -b**5/170 + b**4/102 + 4*b + 12. Let x(t) be the first derivative of h(t). What is s in x(s) = 0?
0, 1
Let r(a) be the third derivative of -1/36*a**4 + 0*a**3 - 1/630*a**7 + 1/60*a**5 + 24*a**2 + 0*a**6 + 0*a + 0. Determine n so that r(n) = 0.
-2, 0, 1
Suppose 0 = 5*n - 5*j - 70, 5*n - 32 = -j + 20. Factor n*g - 10*g - 12*g**2 - 9*g - 4*g**3.
-4*g*(g + 1)*(g + 2)
Let c(y) = 2*y**4 + y**3 + 7*y + 20. Let n(f) = 3*f**4 + f**3 + f**2 + 13*f + 32. Let o(i) = -5*c(i) + 3*n(i). Suppose o(a) = 0. Calculate a.
-2, 1
Suppose -5*x + 46 + 144 = 0. Let b = x - 492/13. Factor -2/13*z**2 + b*z**3 + 0 - 4/13*z.
2*z*(z - 2)*(z + 1)/13
Let i(z) be the third derivative of -7*z**6/780 + 2*z**5/13 - 12*z**4/13 + 64*z**3/39 + 3*z**2 - z. Find p, given that i(p) = 0.
4/7, 4
Let -2/9*j**2 - 50/3 + 152/9*j = 0. Calculate j.
1, 75
Let i(t) = -5*t**3 - 99*t**2 - 735*t - 1703. Let h(u) = 45*u**3 + 890*u**2 + 6615*u + 15325. Let z(n) = 6*h(n) + 55*i(n). What is s in z(s) = 0?
-7
Let g(r) = 2*r**2. Let z(y) = 5*y**2 - 27*y + 54. Let p(q) = g(q) - z(q). Factor p(v).
-3*(v - 6)*(v - 3)
Suppose 172*u = 189*u. Suppose -3 = -4*f + 5. Factor x**3 - 2/3*x**f + u*x - 1/3*x**4 + 0.
-x**2*(x - 2)*(x - 1)/3
Let v(r) = -13*r**2 - 560*r - 27. Let f be v(-43). Let a(j) be the second derivative of f*j**3 + 8*j**4 + 2*j**5 + 8*j + 0 + 1/5*j**6 + 16*j**2. Factor a(g).
2*(g + 2)**3*(3*g + 2)
Suppose -125 = 42*u - 47*u. Suppose -5*d**4 - 4*d**4 + 45*d**2 + u*d**3 + 10 + 6*d**4 + 8*d**4 + 35*d = 0. What is 