6*p + 72 + 296 + 108*p**2 - 7*p**3 = 0 for p.
-32, -2
Let h(z) be the first derivative of -3/4*z**4 - 3*z**3 - 3*z - 9/2*z**2 - 70. Factor h(c).
-3*(c + 1)**3
Suppose -3*q + 5*a = -0*q - 29, a - 2 = -2*q. Suppose 0 = h - 2 - q. Suppose -10*m**4 - 2*m**5 + 2*m**5 + 10*m**2 - 5*m + h*m**5 = 0. Calculate m.
-1, 0, 1
What is d in -8/9*d**3 + 16 - 86/9*d**2 + 44/3*d = 0?
-12, -3/4, 2
Let y = 31480 - 157384/5. Let v(m) be the first derivative of -7/5*m**2 + y*m + 20 - 2/15*m**3. Let v(i) = 0. What is i?
-8, 1
Factor 0 - 9*c**2 + 46/5*c - 1/5*c**3.
-c*(c - 1)*(c + 46)/5
Suppose 3*n - 15 = -3*y, 4*n + 2*y = -3*y + 22. Factor -8/3*d - 1/6*d**4 + 0 - 7/3*d**n + 31/6*d**2.
-d*(d - 1)**2*(d + 16)/6
Let b(t) be the second derivative of 2*t**7/63 - 38*t**6/45 - 368*t**5/15 - 316*t**4/9 + 12416*t**3/9 - 15872*t**2/3 - 14573*t. Determine z so that b(z) = 0.
-8, 2, 31
Let r be 24520/(-42)*(-6 - 3840/(-650)). Let d = r - 360/7. Factor -16/13*f + d*f**2 + 2/13.
2*(4*f - 1)**2/13
Let p(w) be the third derivative of 17/28*w**4 + 1/84*w**6 - 3*w**2 - 3/7*w**3 - 18 - 31/210*w**5 + 0*w. Determine k so that p(k) = 0.
1/5, 3
Let j(g) = g**2 - 11*g + 34. Suppose -3*o = -63*f + 68*f, 5*o + 4*f = 13. Let m be j(o). Factor 16/7 + 33/7*a**2 + 1/7*a**m - 10/7*a**3 - 40/7*a.
(a - 4)**2*(a - 1)**2/7
Let l be ((-2)/(-8))/(11/2596). Find g, given that 10*g**4 - 92*g**3 + l*g**2 + 22*g**3 - 15*g**3 - 19*g**2 = 0.
0, 1/2, 8
Factor 0 - 1/2*k**2 - 41*k.
-k*(k + 82)/2
Let n(k) = -k**3 + 46*k**2 - 34*k - 491. Let s be n(45). Suppose 5*w - 41 + 35 = -u, -4*w - u + s = 0. Find a such that -2 + 3/2*a**w + 0*a - 1/2*a**3 = 0.
-1, 2
Factor 0*a**3 + 12*a - 16/3 + 2/3*a**4 - 22/3*a**2.
2*(a - 2)*(a - 1)**2*(a + 4)/3
Suppose -4*g - 2*y + 18 = 0, -y - 3*y + 24 = 2*g. Factor 2*d**4 + 18*d**2 + g - 3 - 20*d**3 + 1.
2*d**2*(d - 9)*(d - 1)
Determine r, given that -120/7*r - 342/7 - 2/7*r**2 = 0.
-57, -3
Let x = 3/8 - 95/8. Let w = -199/18 - x. Determine f, given that 7/9*f + w - 2/9*f**2 = 0.
-1/2, 4
Suppose 2 = -z, -2628*z = -y - 2633*z - 8. Factor 3/2*g**3 + g**y + 1/2*g**4 + 0*g + 0.
g**2*(g + 1)*(g + 2)/2
Let a(h) = -h**3 + 3*h**2 - h + 1. Let q(z) = -2*z**3 - 34*z**2 + 288*z - 556. Let x(f) = -4*a(f) + q(f). Factor x(i).
2*(i - 14)*(i - 5)*(i - 4)
Let j be (-70)/(-56) - 9*14/126. Solve -2*h + j*h**2 + 3 = 0 for h.
2, 6
Let w = -357 - -375. Suppose -32*y = -41*y + w. Factor 4*i**y - 16/5 - 32/5*i.
4*(i - 2)*(5*i + 2)/5
Let i be (-25)/10 - 390/(-20). Let j be ((-1683)/(-27))/i - (2 - -1). Find v, given that j*v**2 + 4/3*v - 2 = 0.
-3, 1
Suppose 36 = 4*j - 4*t, -t + 27 = 4*j + 4*t. Suppose j = 4*f, 2*b - 13*f + 10*f = -2. Let 0 + 1/2*r**3 + r - 3/2*r**b = 0. Calculate r.
0, 1, 2
Let f(y) be the third derivative of -1/168*y**8 + 0*y**4 + 1/60*y**6 - 28 + 0*y + 0*y**7 + 0*y**5 + 0*y**3 - y**2. Solve f(h) = 0.
-1, 0, 1
Let a be (-238)/(-8) - 11/(-396)*-27. Let f(y) be the second derivative of 0*y**2 + 0 - 1/21*y**6 + 0*y**3 + a*y + 0*y**4 - 1/21*y**7 + 1/35*y**5. Factor f(d).
-2*d**3*(d + 1)*(7*d - 2)/7
Factor f**5 + 97*f**3 - 486*f + 68*f**3 - 297*f**2 - 177*f**4 + 154*f**4.
f*(f - 9)**2*(f - 6)*(f + 1)
Let z be 77/(-7) + 40/5. Let w be z - (10/8 - 973/84). Find l such that -6*l**3 - w*l**2 + 8/3 + 0*l - 4/3*l**4 = 0.
-2, -1, 1/2
Let t = -183 + 187. Suppose -t*g - 24 = -2*l, -16 = -2*l + g - 7. Find h such that -4/7*h**l - 2/7*h**3 + 0*h + 0 = 0.
-2, 0
Factor -15625/11 + 15875/11*l + 1/11*l**3 - 251/11*l**2.
(l - 125)**2*(l - 1)/11
Factor 32*s + 5*s**3 - 91*s + 34*s + 405*s**2 + 25*s.
5*s**2*(s + 81)
What is j in -60 + 26/3*j + 2/3*j**2 = 0?
-18, 5
Let g(y) be the first derivative of 1/3*y**3 + 0*y - 1 - 11/2*y**2. Factor g(h).
h*(h - 11)
Let m(q) = 65*q**3 + 25*q**2 + 5*q - 45. Let y be ((-20)/3)/(10/45). Let z(s) = 2*s**3 + s**2 + s - 1. Let l(h) = y*z(h) + m(h). Factor l(j).
5*(j - 3)*(j + 1)**2
Let y(b) be the first derivative of 2*b**4/7 + 370*b**3/21 - 142*b**2/7 - 94*b/7 + 1079. Determine h, given that y(h) = 0.
-47, -1/4, 1
Let j be (-2418 + -4)/7 - (-3 + 0). Let d be 6/(-7)*j/98. What is r in -3 + 3/2*r**4 - 9/2*r + 9/2*r**d + 3/2*r**2 = 0?
-2, -1, 1
Let u be (-29)/(-6) + (8/(-20))/(192/(-80)). Let f(t) be the first derivative of -15/4*t**4 - 3/5*t**u + 6*t**2 - 6*t**3 + 24*t + 15. What is j in f(j) = 0?
-2, 1
Let f(k) be the first derivative of 25/3*k**3 - 5/2*k**2 - 12 - 5*k**5 + 5/4*k**4 + 0*k. Factor f(j).
-5*j*(j - 1)*(j + 1)*(5*j - 1)
Let c(r) = 10*r + 342. Let g be c(-34). Let o(t) be the first derivative of -4/3*t**3 + 25 + 24*t + g*t**2. Factor o(n).
-4*(n - 3)*(n + 2)
Let b = 614 + -218. Let r = b - 394. Determine k, given that -12/5 - 2/5*k + 8/5*k**r - 2/5*k**3 = 0.
-1, 2, 3
Let n(a) be the third derivative of a**5/450 + 209*a**4/90 - 419*a**3/45 - 3*a**2 + 681*a. Find h, given that n(h) = 0.
-419, 1
Factor -17/5*i**3 + 0 - 19/5*i + 37/5*i**2 - 1/5*i**4.
-i*(i - 1)**2*(i + 19)/5
Factor -27920/3*p - 120125/3*p**3 + 60 + 1084225/3*p**2.
-5*(p - 9)*(155*p - 2)**2/3
Let t(a) be the first derivative of a**5/6 + 1885*a**4/24 + 625*a**3/3 + 11234. Factor t(s).
5*s**2*(s + 2)*(s + 375)/6
Let c = 25 - 14. Let u(z) = 4*z - 26. Let d be u(7). Factor -16*t**d + c*t**2 - 72*t + 12*t - 55.
-5*(t + 1)*(t + 11)
Let w(t) = t + 27. Let r be w(14). Find o such that -r*o + 3*o**2 - 4*o**2 - 46 - 2*o + 11*o + 7*o = 0.
-23, -2
Let t be (((-70)/(-15))/(-7))/((-1)/6). Suppose 4*l**3 - 2*l**4 - 2*l**3 + 4*l**t + 239*l**2 - 243*l**2 = 0. What is l?
-2, 0, 1
Let r(p) be the second derivative of -p**5/2 - 83*p**4 + 1763*p**3/3 + 1236*p**2 + 3112*p. Suppose r(m) = 0. Calculate m.
-103, -3/5, 4
Let m(p) be the third derivative of 1/160*p**6 + 0 + 0*p - 92*p**2 + 0*p**3 + 1/60*p**5 - 1/840*p**7 + 0*p**4. Factor m(b).
-b**2*(b - 4)*(b + 1)/4
Suppose 2*b + 3*s = 7*b - 31, -b - s + 11 = 0. Suppose -6 = -4*g - 3*n, -4*g + 2 + b = n. Factor -6*a - 2*a**4 + 0*a + 0*a**3 + 2*a**2 + 2*a**g + 4*a.
-2*a*(a - 1)**2*(a + 1)
Let t(d) be the third derivative of 0*d**3 + 10*d**2 - 1/1380*d**6 - 2/345*d**5 + 5/276*d**4 - 2 + 0*d. Suppose t(h) = 0. What is h?
-5, 0, 1
Suppose u + 19 = -2*m + 11, 2*u + m + 1 = 0. Suppose -8*b**4 + 556*b**5 - 2*b**4 + 8*b**2 + u*b + 14*b - 12*b**3 - 558*b**5 = 0. Calculate b.
-2, 0, 1
Let b(f) = -5*f**3 + f**2 + 16*f - 24. Let t = -6 + 2. Suppose -55 = 3833*r - 3822*r. Let q(z) = 5*z**3 - 15*z + 25. Let k(g) = r*b(g) + t*q(g). Factor k(v).
5*(v - 2)*(v - 1)*(v + 2)
Factor -93*m**2 + 22*m**3 - 83*m**4 + 78*m**4 - 67*m**2 + 38*m**3.
-5*m**2*(m - 8)*(m - 4)
Let q(l) be the first derivative of l**4/20 - 38*l**3/15 + 36*l**2/5 - 2673. Let q(c) = 0. What is c?
0, 2, 36
Let l(p) = -p**3 - 6*p**2 - 97*p - 582. Let n be l(-6). Suppose 0 = -3*h - h + 12. Factor -2/3*z**h + n*z + 0 - 10/3*z**2.
-2*z**2*(z + 5)/3
Let w(d) be the first derivative of -d**4/48 - 11*d**3/12 - 121*d**2/8 - 17*d + 23. Let q(a) be the first derivative of w(a). What is h in q(h) = 0?
-11
Let q(s) be the second derivative of -78*s**2 - 7/4*s**4 - 59/2*s**3 - 75*s + 0. Solve q(m) = 0.
-52/7, -1
Let l(c) be the third derivative of -c**9/11340 - 29*c**8/30240 + c**7/2268 - c**4/8 + c**3/3 - c**2. Let t(a) be the second derivative of l(a). Factor t(v).
-2*v**2*(v + 5)*(6*v - 1)/9
Suppose 4*o - 7 = -5*f, -14*f + 1 = -17*f - 5*o. Let t(c) be the second derivative of -c**f + 3/20*c**5 + 9*c + 0 - 1/4*c**4 + 0*c**2. Factor t(a).
3*a*(a - 2)*(a + 1)
Let x = -144322 + 144522. Suppose -65*g - 560/3*g**3 - 20/3 - x*g**2 = 0. Calculate g.
-4/7, -1/4
Determine l, given that -5002/7*l**3 + 18/7*l**5 + 282/7*l**4 - 8704/7 - 81762/7*l**2 - 52800/7*l = 0.
-16, -1/3, 17
Let y(j) = 5*j**2 - 30*j - 32. Let o(i) = -9*i**2 + 58*i + 62. Let r(h) = 6*o(h) + 10*y(h). Solve r(a) = 0 for a.
-1, 13
Solve -656*n**2 - 705 + 338*n**2 + 700*n + 323*n**2 = 0 for n.
-141, 1
Let u be ((-132)/(-165))/(16/5 + -2). Let t be (-1)/(14/(-140)) + -10. Factor t - 1/3*z**3 + u*z + 1/3*z**2.
-z*(z - 2)*(z + 1)/3
Let v(d) = -2*d**4 - 3*d**3 - 2*d**2 + 2*d + 1. Let o(f) = -3*f**4 + 160*f**3 + 159*f**2 - 326*f + 2. Let n(k) = -3*o(k) + 6*v(k). Suppose n(a) = 0. What is a?
-165, -2, 0, 1
Let k(y) be the third derivative of -1/480*y**6 + 1/8*y**5 - 75/32*y**4 + 0*y**3 - 95*y**2 + 0*y + 0. Factor k(u).
-u*(u - 15)**2/4
Let h be 3735/(-315) - (-16 - -3). Let 10/7*u**3 - 2/7*u*