ve of 0*n - 1/10*n**4 + 90 - 2/5*n**2 - 2/5*n**3. Suppose v(h) = 0. What is h?
-2, -1, 0
Let x(w) be the second derivative of -w**6/15 - 23*w**5/10 - 59*w**4/2 - 171*w**3 - 486*w**2 - w - 210. Determine i so that x(i) = 0.
-9, -3, -2
Let t = 118 + -79. Suppose -t = 21*x - 123. Factor 0*p - 3/2*p**x - 21/2*p**3 - 9*p**2 + 0.
-3*p**2*(p + 1)*(p + 6)/2
Factor 325*j - 5*j**4 + 335*j**2 - 1261*j**3 + 7 - 337 + 936*j**3.
-5*(j - 1)**2*(j + 1)*(j + 66)
Let z(h) be the third derivative of 0*h + 0*h**4 + 0*h**3 + h**2 + 1/105*h**6 - 1/735*h**7 - 3 - 2/105*h**5. Factor z(v).
-2*v**2*(v - 2)**2/7
Let c = -74924 + 74927. Determine j so that -7/2*j**2 - 3/2*j**c + 0 - 2*j = 0.
-4/3, -1, 0
Let f(g) = 80*g**3 - 7640*g**2 + 131570*g - 590460. Let u(y) = -3*y**3 + 283*y**2 - 4873*y + 21869. Let r(i) = 2*f(i) + 55*u(i). What is l in r(l) = 0?
7, 25
Let k(y) be the second derivative of y**7/630 - 17*y**6/270 - 25*y**3/3 - 18*y - 2. Let h(x) be the second derivative of k(x). Solve h(j) = 0 for j.
0, 17
Let z = -348151/2 + 174080. Solve 1/4*p**2 + 81/4 - z*p = 0 for p.
9
Let h be -5 + (-203)/(-42) + 290/12. Factor 3*l**4 - 4*l**2 + 26 - l**4 - h.
2*(l - 1)**2*(l + 1)**2
Suppose 29759*k - 29886*k = -381. Solve 0 - 48/7*t**2 + 12/7*t + 165/7*t**4 - 129/7*t**k = 0 for t.
-2/5, 0, 2/11, 1
Let g(d) = 6*d**2 - d. Let x be g(1). Let k = -69 - -71. Suppose 25 - 21*u**5 - 10*u + 75*u**3 + 56*u**5 + x*u**k + 95*u**4 - 25 = 0. What is u?
-1, 0, 2/7
Let f = -74 - -79. Factor 92*z**3 + 15*z**2 - 31*z**2 - 4*z**2 - 350*z + 2*z**f + 26*z**4 + 250.
2*(z - 1)**2*(z + 5)**3
Let n(g) = g**3 - 13*g**2 + 13*g - 13. Let a be n(12). Let o = 3 + a. Factor -11*t**5 + t**5 - 52*t + o + 58*t - 16*t**2 + 2 - 44*t**3 - 36*t**4.
-2*(t + 1)**4*(5*t - 2)
Let v(k) be the second derivative of -k**7/70 - k**6/20 + k**5/5 + k**4 + 45*k**2 - 59*k. Let p(l) be the first derivative of v(l). Let p(s) = 0. Calculate s.
-2, 0, 2
Factor -2/5*y**2 - 8/5 - 2*y.
-2*(y + 1)*(y + 4)/5
Let m(n) be the first derivative of 2*n**6/3 - 204*n**5/5 + 233*n**4 - 532*n**3/3 - 468*n**2 + 736*n - 8444. Let m(s) = 0. Calculate s.
-1, 1, 4, 46
Solve -240*q**2 + 31*q**2 - 37*q**2 + 122*q**3 + 56*q**2 + 41*q**4 + 3*q**5 - 192 + 26*q**2 - 440*q = 0.
-8, -6, -1, -2/3, 2
Let x be 908/(-5448)*(-36)/10. Let -1/5*o**4 - 7/5*o**3 + x*o**2 + 19/5*o - 14/5 = 0. What is o?
-7, -2, 1
Let t(n) be the first derivative of -n**4/16 + n**3/8 - 48*n + 38. Let k(x) be the first derivative of t(x). Factor k(i).
-3*i*(i - 1)/4
Factor -17*a - 67/4 - 1/4*a**2.
-(a + 1)*(a + 67)/4
Let l(r) = 7*r**2 + 487*r - 512. Let c(y) = -2*y**2 - 122*y + 128. Let p be ((-13)/(-39))/((-2)/24*2). Let a(b) = p*l(b) - 9*c(b). Factor a(q).
4*(q - 1)*(q + 32)
Let s be (-9)/(-2) - (-3 - 126/(-28)). What is j in 1023*j**s + 2 - 3*j**2 - 1086*j**3 + 6*j**4 - 3*j**2 - 2 + 63*j**5 = 0?
-1, -2/21, 0, 1
Solve 132/7*b + 124/7*b**3 + 4/7*b**4 - 260/7*b**2 + 0 = 0.
-33, 0, 1
Let p(d) be the first derivative of -d**6/24 + 3*d**5/10 + 7*d**4/16 - 22*d**3/3 + 39*d**2/2 - 20*d - 9583. Solve p(s) = 0.
-4, 1, 2, 5
Let i be ((-28)/(-1))/((-18)/(-648)). Factor -46 - 928*v + 146 - 5*v**3 + 5*v**2 + i*v.
-5*(v - 5)*(v + 2)**2
Let j(h) be the second derivative of -2*h**7/105 - h**6/10 + 4*h**5/15 - 19*h**2/2 + 85*h. Let n(c) be the first derivative of j(c). Let n(q) = 0. What is q?
-4, 0, 1
Let k(h) = h**3 + 12*h**2 + 26*h - 6. Let j be k(-9). Suppose -41 + 364*s - s**4 - s**3 - 310*s**2 + 29*s**j - 128 + 88*s**2 = 0. What is s?
1, 13
Let s(f) be the first derivative of 5*f**3/6 - 970*f**2 + 376360*f + 1796. Suppose s(t) = 0. What is t?
388
Let w(l) be the first derivative of 0*l + 3/13*l**2 + 12/65*l**5 + 6/13*l**4 + 1/39*l**6 + 31 + 20/39*l**3. Factor w(d).
2*d*(d + 1)**3*(d + 3)/13
Let q be 16598/(-215) - (-103 - -23). Factor 2/5*j**3 + q*j**2 + 32/5*j + 24/5.
2*(j + 2)**2*(j + 3)/5
Let x be 15/(-20) + 63/(-28). Let l be 0*4/60*(-1)/x. Factor -4/7*s - 4/7*s**2 + 4/7*s**4 + l + 1/7*s**5 + 3/7*s**3.
s*(s - 1)*(s + 1)*(s + 2)**2/7
Factor 105/8 + 3/8*p**2 - 9/2*p.
3*(p - 7)*(p - 5)/8
Let f(j) = -9*j**3 - 18*j**2 + 15*j + 15. Let i be 1*(-4 - (4 + -9)). Let w = 5 - 2. Let y(a) = a**4 - a**3 - a. Let q(k) = i*f(k) + w*y(k). Factor q(n).
3*(n - 5)*(n - 1)*(n + 1)**2
Suppose 8*k - 37 + 149 = 0. Let h be 6/(-4) + 5*k/(-35). Factor -25 + 45/2*x + h*x**3 - 6*x**2.
(x - 5)**2*(x - 2)/2
Let q(h) be the third derivative of h**7/2240 + h**6/192 + h**5/80 + 2*h**3/3 + h**2 - 30. Let z(s) be the first derivative of q(s). Solve z(u) = 0 for u.
-4, -1, 0
Suppose 3*b + 11 - 14 = 0. Suppose -b + 4 = o. Factor -5*l - l**o + 4*l + l**2 + l.
-l**2*(l - 1)
Let -2003*g**4 - 60032*g - 468*g**3 + 1999*g**4 - 17114*g**2 + 2354*g**2 + 75264 = 0. Calculate g.
-56, -6, 1
Let g(t) be the third derivative of -1759*t**6/40 - 176*t**5 - 1763*t**4/8 - t**3 + 237*t**2 + 8*t. Let g(k) = 0. Calculate k.
-1, -2/1759
Solve 2/7*s**2 + 22244450/7 + 13340/7*s = 0.
-3335
Let h(q) = -q**3 - 67*q**2 + 360*q. Let g be h(-72). Let -6/11*k**3 - 18/11*k**2 - 12/11*k + g = 0. Calculate k.
-2, -1, 0
Let k(m) = -m + 9. Let y be k(2). Suppose -y*l - 3*l = 50. Let n(v) = 4*v**2 + 7*v + 1. Let o(b) = -9*b**2 - 15*b - 1. Let p(r) = l*n(r) - 2*o(r). Factor p(a).
-(a + 1)*(2*a + 3)
Suppose 5*d = -3*m + 4672, 4*d - 1903 = m + 1838. Let w = d + -10277/11. Suppose -6/11*y - 2/11*y**2 + w = 0. Calculate y.
-4, 1
Let r(h) be the third derivative of 0 + 1/390*h**5 - 1/52*h**4 + 7*h - 7*h**2 + 0*h**3. Factor r(d).
2*d*(d - 3)/13
Let y = -717867/13 + 55221. Solve 0*l + 0 + 10/13*l**3 - 14/13*l**4 + y*l**5 - 2/13*l**2 = 0.
0, 1/3, 1
Suppose 19*k - 24*k - 3*i + 10665 = 0, 3*k = -2*i + 6398. Let w = k - 14932/7. Factor 2/7*f**2 + 18/7 + w*f.
2*(f + 1)*(f + 9)/7
Let l(u) = -4*u + 7. Let q be l(-5). Suppose 156*j - 183*j = -81. Factor -9*r**2 - 70*r**2 - 28*r - j*r**4 - 20*r - q*r**3 + 7*r**2.
-3*r*(r + 1)*(r + 4)**2
Find l, given that -1/2*l**2 + 523*l - 273529/2 = 0.
523
Suppose -11*i = -9*i + 32. Let r = 26 + i. Factor -r*k**4 - 13*k**3 - 5*k**5 + 20*k**3 - 12*k**3.
-5*k**3*(k + 1)**2
Let i = -29775/7 + 4257. Let a be 1*(-254)/(-70) + (-6)/30. Suppose -i*u**3 + 3/7*u**5 + 3/7*u**4 - a*u**2 + 48/7 + 48/7*u = 0. What is u?
-2, -1, 2
Let y(x) be the first derivative of -x**3/3 + 191*x**2/2 + 776. Factor y(t).
-t*(t - 191)
Let w(x) = -48*x**3 + 312*x**2 + 402*x. Let k(o) = -9*o**3 + 63*o**2 + 80*o. Let b(n) = 21*k(n) - 4*w(n). Factor b(l).
3*l*(l + 1)*(l + 24)
Let b(t) be the first derivative of t**6/105 - t**4/21 + t**2/7 + 28*t - 111. Let y(u) be the first derivative of b(u). Factor y(v).
2*(v - 1)**2*(v + 1)**2/7
Factor 22050*h - 1543500 + 1/6*h**3 - 105*h**2.
(h - 210)**3/6
Let h = 64084 + -448584/7. Factor 2/7*z**2 + h*z - 6/7.
2*(z - 1)*(z + 3)/7
Determine b so that 392/3*b - 2/3*b**3 + 0 + 64*b**2 = 0.
-2, 0, 98
Suppose -45*y = -17*y - 112. Find t such that 16 + 18 + 5*t**2 - y + 35*t = 0.
-6, -1
Suppose -5*t + 4*x = -43, -26 = -13*t + 9*t + 2*x. What is h in -207/2*h**2 - 105*h**t - 6 - 42*h - 75/2*h**4 = 0?
-1, -2/5
Let u(o) be the third derivative of o**5/15 - 25*o**4/6 - 56*o**3 + 287*o**2. Find a such that u(a) = 0.
-3, 28
Let t be (6/((-90)/(-3))*(15 + -20))/(-4). Suppose -1/4*x**5 - 1/2*x**3 + t + 1/2*x**2 + 3/4*x - 3/4*x**4 = 0. Calculate x.
-1, 1
Let 11580*d**3 + 4703*d**4 - 1145*d**4 + 2717*d**4 - 125*d**5 + 1040*d + 6220*d**2 = 0. What is d?
-1, -2/5, 0, 52
Suppose 415*m = 671*m - 512. Suppose -18/7 + 20/7*c - 2/7*c**m = 0. What is c?
1, 9
Let a be (-15)/45*(6/144 - (-6)/(-16)). Let x(d) be the first derivative of a*d**2 + 12 + 0*d + 1/27*d**3. Determine o so that x(o) = 0.
-2, 0
Let i(c) = c**2 - 8*c + 6. Let b be i(0). Suppose 2*z**4 + 2*z**2 + 7 - 5 - 6*z + b*z**3 - 2 - 4 = 0. Calculate z.
-2, -1, 1
Let d(n) be the first derivative of n**6/20 - n**5/15 - n**2/2 + n + 52. Let y(f) be the second derivative of d(f). Factor y(i).
2*i**2*(3*i - 2)
Let f(q) = q**3 - 35*q**2 - 34*q + 19. Let r be f(36). Suppose 0 = r*s - 100*s. Factor -2/5*a**4 + s*a**2 + 1/5*a**5 + 1/5*a**3 + 0 + 0*a.
a**3*(a - 1)**2/5
Let f(g) be the second derivative of -g**6/6 + 5*g**5/2 + 30*g**4 + 45*g**3 - 675*g**2/2 + 4*g - 66. Factor f(o).
-5*(o - 15)*(o - 1)*(o + 3)**2
Factor -320 + 2*x**3 - 147*x**2 + 47*x**2 + 52*x - 392*x + x**3 - 8*x**3.
-5*(x + 2)**2*(x + 16