 - 8*p**4 + 2*p**3 + 10*p**2 - 16*p - 2. Let h(n) = 5*d(n) - 6*t(n). Factor h(q).
-2*(q - 2)*(q - 1)**3*(q + 1)
Let s(y) be the third derivative of -y**7/1365 - 7*y**6/390 - 53*y**5/390 - 19*y**4/39 - 12*y**3/13 - 181*y**2. Find z such that s(z) = 0.
-9, -2, -1
Let v(t) be the second derivative of -3*t**5/40 - 5*t**4/12 - t**3/4 - 4*t - 28. Factor v(f).
-f*(f + 3)*(3*f + 1)/2
Let q = -1/33 - -25/33. Determine p so that -2/11*p**3 + 0*p**2 + 0 + q*p = 0.
-2, 0, 2
Let j(n) be the second derivative of 1/4*n**4 + 42*n - 3/2*n**3 + 3*n**2 + 0. Find z such that j(z) = 0.
1, 2
Let j(c) = 316822*c**2 + 6382*c + 39. Let r(l) = 1108876*l**2 + 22336*l + 136. Let g(x) = 24*j(x) - 7*r(x). Factor g(z).
-4*(199*z + 2)**2
Let c(k) be the third derivative of -k**6/90 + k**4/6 + 2*k**3/3 + 10*k**2. Let l(m) be the first derivative of c(m). Factor l(n).
-4*(n - 1)*(n + 1)
Factor 83*f + f**2 + 1 - 78*f - 1.
f*(f + 5)
Let o(w) be the third derivative of w**6/140 + w**5/70 - w**4/28 - w**3/7 + 2*w**2 - 4*w. Solve o(c) = 0 for c.
-1, 1
Let z(s) be the second derivative of 7*s - 1/42*s**4 - 7*s**2 + 0 - 2/3*s**3. Find l such that z(l) = 0.
-7
Let p = -64 - -66. Suppose -2*i - p + 6 = 0. Factor 2/7*g + 0 - 2/7*g**i.
-2*g*(g - 1)/7
Suppose 11*r + 3 = 10*r. Let k be (-1 - r/4) + 14/56. Factor k + 0*c + 0*c**2 + 6/5*c**3 - 3/5*c**4.
-3*c**3*(c - 2)/5
Let s(o) = -o**2 + 5*o - 1. Let v(w) = 2*w**2 + 29*w - 40. Let c(u) = 3*s(u) + v(u). Solve c(m) = 0.
1, 43
Let u(y) = 2*y**3 - 3 - 22*y**2 + 22*y + y**3 - 2*y**3 - 18. Let p be u(21). What is h in -1/4*h**3 + 1/4*h**5 + 1/2*h**4 - 1/2*h**2 + 0 + p*h = 0?
-2, -1, 0, 1
Let w be (-30)/(-4) - (-8)/16. Suppose b + b = w. Find j, given that 2*j**5 - j**3 + 0*j**5 + 2*j**b + 0*j**4 - 3*j**3 = 0.
-2, 0, 1
Let t(d) be the third derivative of 1/210*d**7 - 1/36*d**4 + 0 - 1/60*d**5 + 0*d**3 + 1/360*d**6 - 27*d**2 + 0*d + 1/1008*d**8. What is h in t(h) = 0?
-2, -1, 0, 1
Let t(w) be the first derivative of -w**3 + 249*w**2 - 20667*w + 46. Suppose t(v) = 0. Calculate v.
83
Suppose -73*u = -17*u - 4*u + 22*u. Factor u - 50/9*z**5 + 0*z - 16/3*z**3 + 10*z**4 + 8/9*z**2.
-2*z**2*(z - 1)*(5*z - 2)**2/9
Let u = 27059/12 - 2258. Let m = u + 13/4. Factor -m*p - 1/6*p**2 + 0.
-p*(p + 1)/6
Let 1/3*z**2 + 7/3 + 8/3*z = 0. What is z?
-7, -1
Let i(z) = -8*z**2 - 13*z - 5. Let m(h) = -3*h**2 - 6*h - 3. Let b(l) = 2*i(l) - 5*m(l). Suppose b(y) = 0. What is y?
-1, 5
Let s be (32/(-12) - -4)*-3. Let b = 5 + s. Factor -o**4 + o**3 - b + 2*o**4 + o**3 - 4*o**3 + 2*o.
(o - 1)**3*(o + 1)
Determine p so that 1/9*p**3 - 16/9*p**2 + 0*p + 0 = 0.
0, 16
Let f be (-3)/2*2/(-210)*1. Let i(m) be the second derivative of -f*m**5 + 0*m**3 + 0 + 0*m**2 - 5*m - 1/42*m**4. Factor i(q).
-2*q**2*(q + 1)/7
Suppose 4*a - 89 = -69. Let h(b) be the first derivative of -2/5*b - 2/25*b**a + 1/30*b**6 - 1/10*b**4 + 4/15*b**3 - 10 + 1/10*b**2. Solve h(l) = 0.
-1, 1, 2
Suppose 3*s + 69 = 2*c, 0 = -c - 3*s + 4*s + 32. Let o = -22 + c. Find g such that -10 + 16 + g - o - g**2 - g**3 = 0.
-1, 1
Let f(o) be the first derivative of 2*o**5/25 - 2*o**4/5 + 2*o**3/3 - 2*o**2/5 + 76. Factor f(z).
2*z*(z - 2)*(z - 1)**2/5
Let f(x) = -18*x**3 + 3*x**2 + 9*x + 23. Let u(g) = -10*g**3 + 2*g**2 + 4*g + 12. Let q(s) = 4*f(s) - 7*u(s). Factor q(h).
-2*(h - 2)*(h + 1)*(h + 2)
Let r = 25 + -20. Let 8*f + r*f**3 - 12*f - f**3 = 0. Calculate f.
-1, 0, 1
Suppose -9*x**2 - 88/3*x - 16 - 1/3*x**5 + 17/3*x**3 + x**4 = 0. Calculate x.
-3, -1, 4
Let y(u) = -u**2 + u + 1. Let n(z) = 42*z**2 + 7*z - 3 + 40*z**2 - 83*z**2. Let t(j) = n(j) - 3*y(j). Let t(p) = 0. What is p?
-3, 1
Suppose -2*l + 1 - 41 = 0. Let q be ((-16)/l)/(2/10). Find b such that 3*b**2 - 8*b**4 + 5*b**2 - 6*b + 2*b + q*b**5 = 0.
-1, 0, 1
Let s(c) = -c**2 - 104*c - 1020. Let m be s(-11). Let n(t) be the second derivative of 14*t + 1/70*t**5 + 9/7*t**2 + 0 - 5/42*t**4 + 1/7*t**m. Factor n(g).
2*(g - 3)**2*(g + 1)/7
Let w = 45 - 41. Solve -w + 4*u**4 + 0*u**2 - 5*u + 0*u**2 - 3*u + 8*u**3 = 0.
-1, 1
Find d such that -4/5*d**3 - 14/5*d - 1 + 23/5*d**2 = 0.
-1/4, 1, 5
Suppose -5*a + 100 = 5*c, -2*a = 2*c - 5*a - 15. Suppose -2*l = -4*w - 2 + 4, 3*w + 3*l = c. Solve 1/6*h + 2/3*h**w + 0 = 0 for h.
-1/4, 0
Factor 4/5*r**5 + 6624/5*r**3 + 0 - 48384/5*r**2 - 55296/5*r - 284/5*r**4.
4*r*(r - 24)**3*(r + 1)/5
Let f(j) = -4*j**3 - 20*j**2 + 21*j - 13. Let r be f(-6). Factor 0*g + 0 - 2*g**3 - 2/3*g**2 - 2*g**4 - 2/3*g**r.
-2*g**2*(g + 1)**3/3
Let p(m) be the first derivative of -9*m**7/14 - 2*m**6 + 69*m**5/20 + 3*m**4/2 - 41*m + 25. Let x(t) be the first derivative of p(t). Solve x(k) = 0.
-3, -2/9, 0, 1
Let o be (52/(-130))/((2/(-45))/(25/100)). Let 3/4 + o*c**2 - 9/4*c - 3/4*c**3 = 0. Calculate c.
1
Factor 0 - 2/3*z + 2/3*z**2.
2*z*(z - 1)/3
Let b(l) be the first derivative of 5*l**5 - 55*l**4/4 - 2*l**3 + 14*l**2 + 8*l + 85. Factor b(d).
(d - 2)*(d - 1)*(5*d + 2)**2
Let u(c) be the first derivative of -5/27*c**6 - 16/9*c - 53/18*c**4 - 5 + 68/27*c**3 + 56/45*c**5 + 4/9*c**2. What is t in u(t) = 0?
-2/5, 1, 2
Let o(u) = 9*u**4 + 44*u**3 + 50*u**2 + 10*u + 5. Let i(q) = 4*q**4 + 22*q**3 + 24*q**2 + 4*q + 2. Let k(h) = -5*i(h) + 2*o(h). Let k(a) = 0. What is a?
-10, -1, 0
Let p(i) be the first derivative of -i**4/21 - 10*i**3/63 + i**2/21 + 4*i/7 + 117. What is r in p(r) = 0?
-2, -3/2, 1
Let k(d) = 5*d**2 - 5*d - 10. Let t be (-3)/12*20*-5. Let l(z) = -20*z**2 + 20*z + 40. Let j(q) = t*k(q) + 6*l(q). Factor j(g).
5*(g - 2)*(g + 1)
Suppose -6*w = -3*d, -5*w + 76 = 2*d + 58. Factor -8/5*n**3 + 2/5*n**4 - 4/5*n + w*n**2 + 0.
2*n*(n - 2)*(n - 1)**2/5
Factor -38/3*a - 28 + 2/3*a**2.
2*(a - 21)*(a + 2)/3
Let p = 54 - 49. Let t(s) be the first derivative of -5/16*s**4 + 0*s + 0*s**2 - 1/6*s**3 + 1/10*s**p + 5/24*s**6 - 5. Let t(j) = 0. What is j?
-1, -2/5, 0, 1
Let r(u) = -2*u + 19. Let f be r(8). Factor -7*i**2 - 2*i**4 + 6*i**4 + 15*i**3 - 9*i**4 - f*i**2.
-5*i**2*(i - 2)*(i - 1)
Let s(h) = 2*h**2 + 16*h + 10. Let g be s(-7). Let c be (-1 - g)*(12 + -11). Suppose 1/5*t**c + 4/5 + 8/5*t + t**2 = 0. What is t?
-2, -1
Let i(l) be the first derivative of l**7/30 + 3*l**6/40 - l**5/5 - l**4/6 + 7*l**2/2 + 13. Let p(h) be the second derivative of i(h). Factor p(d).
d*(d - 1)*(d + 2)*(7*d + 2)
Let f(n) = 3*n**2 - 44*n - 41. Let l(x) = -6*x**2 + 89*x + 80. Let u(q) = -5*f(q) - 2*l(q). Factor u(d).
-3*(d - 15)*(d + 1)
Suppose 37*l - 4888 = -4814. Factor 16/11 - 2/11*w**l - 4/11*w.
-2*(w - 2)*(w + 4)/11
Let g(d) = -7*d**5 - 5*d**4 + 3*d**3 + 14*d**2 + 13*d. Let i(a) = -2*a**5 - a**2 + a. Let f(l) = g(l) - 3*i(l). Find x, given that f(x) = 0.
-5, -1, 0, 2
Let n(z) = 11*z**3 - 23*z**2 + 166*z - 154. Let j(d) = -3*d**3 + 8*d**2 - 55*d + 50. Let m(i) = 7*j(i) + 2*n(i). Factor m(y).
(y - 3)*(y - 1)*(y + 14)
Let b(r) = r**3 + 260*r**2 + 3384*r. Let h(m) = -m**3 - 520*m**2 - 6769*m. Let t(v) = -9*b(v) - 4*h(v). Factor t(a).
-5*a*(a + 26)**2
Let n(r) be the second derivative of -r**6/360 + r**4/24 - 17*r**3/3 - 13*r. Let f(x) be the second derivative of n(x). Factor f(s).
-(s - 1)*(s + 1)
Let w(z) be the first derivative of -z**4/10 - 137. Suppose w(j) = 0. Calculate j.
0
Let p(f) = -2*f**2 - 13*f + 10. Let g be p(-7). Let j = 9 + -5. Find d such that -2*d**5 - d**3 - 6*d + 5*d**g + j*d = 0.
-1, 0, 1
Let b(y) be the first derivative of y**4/2 + 370*y**3 + 102675*y**2 + 12663250*y - 692. Factor b(v).
2*(v + 185)**3
Factor 6/13 + 2/13*o**2 + 8/13*o.
2*(o + 1)*(o + 3)/13
Let f be (-261)/(-135) + (-21)/35. Determine u so that 8/3*u**3 + 1/3*u**5 - f*u**2 + 0*u - 5/3*u**4 + 0 = 0.
0, 1, 2
Let b(r) = r**4 + 8*r**3 + 7*r**2. Let k(s) = -s**4 - 9*s**3 - 8*s**2. Let o = -2 + 7. Let q(f) = o*b(f) + 4*k(f). Solve q(a) = 0 for a.
-3, -1, 0
Let o(p) = 10*p**4 + 66*p**3 - 82*p**2. Let n(q) = -11*q**4 - 65*q**3 + 83*q**2. Let f(c) = 6*n(c) + 7*o(c). Factor f(s).
4*s**2*(s - 1)*(s + 19)
Let h(t) be the first derivative of -t**6/480 - t**5/40 - t**4/8 - 2*t**3/3 + 11*t**2/2 + 14. Let i(d) be the third derivative of h(d). Factor i(k).
-3*(k + 2)**2/4
Let n(p) be the third derivative of p**9/15120 - p**8/2520 + p**5/10 + p**2. Let w(u) be the third derivative of n(u). Solve w(h) = 0 for h.
0, 2
Let a(o) = -o**2 - 20*o + 227. Let r be a(8). Let d(g) be the second derivative of 1/30*g**4 +