- 24*p**4 - 167765*p**2 + 22*p**5 = 0. What is p?
0, 1/11, 1
Factor -76*h**2 - 2*h**3 + 6*h**3 + 320*h + 144272 - 143872.
4*(h - 10)**2*(h + 1)
Factor -3/2*p**3 + p**2 + 6*p - 1/2*p**4 + 4.
-(p - 2)*(p + 1)*(p + 2)**2/2
Let r(h) be the third derivative of 0*h + 0 + 0*h**3 + 10*h**2 + 1/360*h**6 + 1/180*h**5 - 1/36*h**4. Solve r(p) = 0.
-2, 0, 1
Let d(w) be the first derivative of -w**6/900 - w**5/150 - w**4/60 + w**3 - 12. Let u(b) be the third derivative of d(b). Suppose u(i) = 0. Calculate i.
-1
Factor -1544 - 4*d - 17*d**2 + 770 + 774.
-d*(17*d + 4)
Let g(w) be the second derivative of -w**4/30 + 14*w**3/15 - 24*w**2/5 + 2*w + 67. Solve g(v) = 0.
2, 12
Let p(m) be the second derivative of 2*m**6/15 - 21*m**5/5 + 33*m**4 + 242*m**3/3 - 30*m + 2. Let p(s) = 0. Calculate s.
-1, 0, 11
Let l(i) = -115*i + 69*i - i**2 + 1 - 7. Let y(g) = 10*g**2 + 415*g + 55. Let n(d) = 55*l(d) + 6*y(d). Factor n(r).
5*r*(r - 8)
Let i(x) be the third derivative of x**5/60 + x**4/24 + 31*x**2. Let a(t) = -t**2 + t - 10. Let p(j) = a(j) + 2*i(j). Determine g, given that p(g) = 0.
-5, 2
Let h(r) be the first derivative of 5*r**5 + 55*r**4/4 + 10*r**3/3 - 334. What is a in h(a) = 0?
-2, -1/5, 0
Let n(x) be the second derivative of x**7/462 - 74*x**6/165 + 1369*x**5/55 - 4*x. Factor n(j).
j**3*(j - 74)**2/11
Let x(r) = 7*r**2 - 4*r - 11. Let q(n) = 16*n**2 - 7*n - 23. Let o(d) = 4*q(d) - 9*x(d). Factor o(f).
(f + 1)*(f + 7)
Suppose 5*x = 3*q + 16, 26*x - 27*x - 4 = 3*q. Find i such that 0*i**x - 1/2*i**3 + 1/2*i**5 + 0*i + 0 + 0*i**4 = 0.
-1, 0, 1
Let f be 0/2 + (-6)/(-21). Suppose -5*m = -4*a + 2*a + 1, -5*a + 3*m = -12. Factor 2/7*d - f*d**2 - 2/7*d**a + 2/7.
-2*(d - 1)*(d + 1)**2/7
What is h in 4/7*h**2 + 6/7*h**3 + 1/7*h**5 - 5/7*h**4 - 8/7*h + 0 = 0?
-1, 0, 2
Let h be (-5)/(80/(-212)) + 6/8. Determine i so that -9 + 7 - h - i**2 + 8*i = 0.
4
Let p = 95 + -473/5. Let n = 23/20 - p. Let -1/2 + 0*d**2 - 1/4*d**3 + n*d = 0. Calculate d.
-2, 1
Let o = -12/1285 - 158007/5140. Let l = -30 - o. Let -l*h**2 + 3/2 - 3/4*h = 0. Calculate h.
-2, 1
Let v(u) = u**2 + 7*u. Let i be v(-6). Let p(f) = -f**2 - 7*f - 6. Let o be p(i). Let -6*g + 0*g**2 + 3*g**2 - 3*g + 6 + o*g**2 = 0. Calculate g.
1, 2
Let s(h) be the second derivative of h**5/5 - 8*h**3 - 32*h**2 + 250*h. Solve s(f) = 0.
-2, 4
Let d(s) = 54*s**2 - s + 12. Let k(i) = -432*i**2 + 9*i - 99. Let x(w) = -33*d(w) - 4*k(w). Factor x(r).
-3*r*(18*r + 1)
Let h(m) = -57*m**3 - 558*m**2 - 3360*m + 9342. Let s(y) = 7*y**3 + 70*y**2 + 420*y - 1168. Let n(z) = 4*h(z) + 33*s(z). Determine o so that n(o) = 0.
-14, 2
Let b(g) be the first derivative of g**7/7140 + g**6/3060 - g**5/510 + 13*g**3/3 - 11. Let n(o) be the third derivative of b(o). Solve n(f) = 0 for f.
-2, 0, 1
Let p(v) be the second derivative of v**5/160 + 15*v**2/2 - 6*v. Let x(q) be the first derivative of p(q). Factor x(u).
3*u**2/8
Let l = 832 - 232959/280. Let z(b) be the third derivative of 3*b**2 + 0 - l*b**6 + 1/490*b**7 - 1/140*b**5 + 1/56*b**4 + 0*b + 0*b**3. Factor z(u).
3*u*(u - 1)**2*(u + 1)/7
Let w be 2 + 2 - (-1 - 201). Solve w*b**2 - 4 + 3*b - 201*b**2 - 2*b = 0 for b.
-1, 4/5
Let c = -49 - -52. Suppose -c*f + 4*t + 22 = 0, t - 2 + 6 = 0. Let 3/5*u**f + 2/5*u + 1/5*u**3 + 0 = 0. Calculate u.
-2, -1, 0
Let z(h) be the third derivative of -h**6/30 - 238*h**5/5 - 28322*h**4 - 26962544*h**3/3 - 3*h**2 + 70*h. Factor z(j).
-4*(j + 238)**3
Let z(w) = 4*w**2 - 54*w. Let k(p) = 5*p**2 - 66*p. Let v(a) = -5*k(a) + 6*z(a). Factor v(m).
-m*(m - 6)
Factor -16*p - 662*p**2 + 333*p**2 + 327*p**2 - 4 - 10.
-2*(p + 1)*(p + 7)
Let u(t) be the second derivative of 0*t**2 - 9/100*t**5 - 1/150*t**6 - 11/60*t**4 + 4*t + 1/210*t**7 - 2/15*t**3 + 0. Determine b so that u(b) = 0.
-1, 0, 4
Suppose 0 = -p + 4*x - 6, 3*p = 4*p + x - 14. Let f be (-2 + 1)/((-2)/p). Suppose 2 + 3*t**2 + f - 18*t + 20 = 0. What is t?
3
Let c(g) = -g**4 - g**2 - g + 1. Let w(h) = 9*h**4 - 16*h**3 + 102*h**2 - 232*h + 217. Let i(o) = 24*c(o) + 3*w(o). Factor i(p).
3*(p - 5)**2*(p - 3)**2
Let p = -881/357 + 155/51. Factor 24/7*l - 32/7 - p*l**2.
-4*(l - 4)*(l - 2)/7
Let d = -2/126751259 + 539073108311/239813382028. Let l = d - -1/473. Determine m so that 0 + 3/4*m**4 + l*m**2 + 3/4*m + 9/4*m**3 = 0.
-1, 0
Find d, given that 192 - 3/4*d**4 - 24*d - 765/4*d**2 + 24*d**3 = 0.
-1, 1, 16
Let s(z) be the second derivative of -2*z**3/3 - 9*z**2/2 + 4*z. Let i be s(-3). What is l in 1/3*l**i + 4/3*l**2 + 0 + 4/3*l = 0?
-2, 0
Let w(p) = -p**2 + 36*p - 178. Let r be w(6). Factor 1/2 - 1/2*a**r + 0*a.
-(a - 1)*(a + 1)/2
Let f be -18 + 10/2 - -4. Let c(y) = y**3 + 10*y**2 + 8*y - 6. Let j be c(f). Factor -2*a**2 + 0 - 2/5*a**4 - 4/5*a - 8/5*a**j.
-2*a*(a + 1)**2*(a + 2)/5
Let g(y) be the first derivative of 22 + 35/12*y**4 + 0*y - 185/9*y**3 + 25/3*y**2. Determine o so that g(o) = 0.
0, 2/7, 5
Let f(i) = i + 4. Let u be f(5). Suppose u = 5*s - 11. Factor 16*t**3 - 15*t - t**3 - 45*t**2 - 3 + 36*t - 12*t**s + 24*t**3.
-3*(t - 1)**3*(4*t - 1)
Suppose 0 = -9*p + 2*p + 1204. Let i = 862/5 - p. Determine c so that -6/5*c**2 + i*c**3 - 2/5 + 6/5*c = 0.
1
Let n be ((-4)/10)/(4/(-160)). Factor -16*i + i**3 - 4*i**3 + i**5 + n*i - 2*i**2.
i**2*(i - 2)*(i + 1)**2
Let z(d) be the first derivative of -d**4/26 - 16*d**3/13 - 48. Factor z(b).
-2*b**2*(b + 24)/13
Factor 532/5*b - 12*b**2 + 72/5.
-4*(b - 9)*(15*b + 2)/5
Let i(n) be the third derivative of -n**6/480 + 17*n**5/240 - 7*n**4/12 + 13*n**3/6 - 267*n**2. Factor i(m).
-(m - 13)*(m - 2)**2/4
Let m be (4/(-5))/(76/(-475)). Let d(r) be the third derivative of -3*r**2 + 0*r + 8/7*r**3 + 0 - 1/7*r**4 + 1/140*r**m. Let d(v) = 0. Calculate v.
4
Let s(a) be the first derivative of -a**6/48 - a**5/10 - a**4/16 + a**3/6 + 3*a**2/16 - 45. Let s(u) = 0. What is u?
-3, -1, 0, 1
Let z(d) be the second derivative of d**6/135 - d**5/90 - d**4/27 - 19*d. Solve z(y) = 0.
-1, 0, 2
Let z be (121/(-154) - (-2)/4)*-7. Suppose -z*t + 14 = 3*t + o, -5*o = 4*t - 28. Factor -16/9*k**t + 0 + 22/9*k**3 - 8/9*k - 2/3*k**4.
-2*k*(k - 2)**2*(3*k + 1)/9
Let h(m) be the second derivative of -m**4/12 + m**2 - 4*m. Let p be h(0). Let -v**2 + v**p + 0*v**2 - 3*v**2 = 0. Calculate v.
0
What is x in 5*x**4 + 22*x**5 - 23*x**5 - 5*x**2 + 0*x**4 + 12*x**3 - 11*x**3 = 0?
-1, 0, 1, 5
Let g(z) be the first derivative of -z**4 + 44*z**3/3 + 28*z**2 - 96*z - 96. Factor g(p).
-4*(p - 12)*(p - 1)*(p + 2)
Let t(k) = -15*k**3 + 195*k**2 - 500*k + 315. Let q(p) = 7*p**3 - 97*p**2 + 250*p - 158. Let h(f) = 5*q(f) + 2*t(f). Determine o so that h(o) = 0.
1, 2, 16
Suppose 7*p - 25 = 2*p - 5*b, -3*p + 5 = -2*b. Let d(x) = 27*x**3 - 3*x**2 - 3. Let z(k) = k**3 - 1. Let w(f) = p*z(f) - d(f). Suppose w(l) = 0. What is l?
0, 1/8
Let 36/11 - 86/11*o - 10/11*o**2 = 0. What is o?
-9, 2/5
Let f(y) be the second derivative of 1/24*y**4 - 4/3*y**3 + 0 + 16*y**2 + 23*y. Factor f(o).
(o - 8)**2/2
Solve 53*a**2 + 13*a**2 + 16*a - 240*a**3 + 248*a**3 = 0 for a.
-8, -1/4, 0
Let z(y) = y**3 - 5*y + 3*y - 6*y**2 - 5*y - 2. Let i be z(9). Factor 178 - i + 5*d - 15*d**2 - 5*d**4 + 15*d**3.
-5*d*(d - 1)**3
Let v(z) be the second derivative of -z**5/20 - 19*z**4/12 - 35*z**3/6 - 17*z**2/2 + 3*z + 6. Factor v(c).
-(c + 1)**2*(c + 17)
Let k(i) = 4*i**2 - 31*i - 9. Let h(a) = -2 - 2*a**2 + 3*a**2 - 5*a - a. Let y = -2 + -2. Let j(n) = y*k(n) + 22*h(n). Solve j(z) = 0.
-2/3, 2
Suppose 3*s = -2*s - 3*x + 14, -s - 4*x = 4. Let z(h) be the first derivative of h**2 + 4 + 2/3*h**3 - s*h. Let z(k) = 0. What is k?
-2, 1
Let c(k) be the third derivative of 21*k**2 + 0 - 43/32*k**4 - 1/20*k**5 + 11/8*k**3 + 0*k. Factor c(f).
-3*(f + 11)*(4*f - 1)/4
Let p(l) = -52*l**2 - 98*l - 39. Let v(h) = 17*h**2 + 33*h + 14. Let b(k) = 2*p(k) + 7*v(k). Find s, given that b(s) = 0.
-4/3, -1
Factor 183*o**4 + 102*o**3 - 374*o + 104*o**2 + 63*o**3 - 209*o**4 - 302*o + o**5.
o*(o - 13)**2*(o - 2)*(o + 2)
Let v = -221/60 - -87/20. Factor m**3 + 0 - v*m**2 + 0*m - 1/3*m**4.
-m**2*(m - 2)*(m - 1)/3
Let a(s) = 310*s - 2167. Let t be a(7). Find l such that -2/3*l**4 - 1/3 + 7/3*l**3 + 5/3*l - t*l**2 = 0.
1/2, 1
Let b(a) be the third derivative of a**8/1176 + a**7/735 - a**6/210 - a**5/105 + a**4/84 + a**3/21 + a**2 + 36. Factor b(z).
2*(z - 1)**2*(z + 1)**3/7
Suppose p + 