*i - 4. Let t(n) = 30*n**3 - 4300*n**2 + 4195*n - 25. Let c(a) = 25*k(a) - 4*t(a). Solve c(p) = 0 for p.
0, 1, 139
Let d = -25243/76 - -1329/4. Let u = 92 + -90. Suppose -4/19*l - 2/19*l**5 + 2/19*l**4 + 0 + 6/19*l**3 - d*l**u = 0. What is l?
-1, 0, 1, 2
Let r(q) be the third derivative of -q**8/672 - 23*q**7/1260 + 5*q**6/144 + 31*q**5/72 + 79*q**4/72 + 4*q**3/3 + q**2 + q - 93. Suppose r(s) = 0. Calculate s.
-8, -1, -2/3, 3
Let o = -86724 + 86726. Suppose -1/9*d**3 + 0*d**o + 0 + 0*d = 0. Calculate d.
0
Let m(a) be the third derivative of 0 - 128*a**3 + 4*a**4 - 13*a**2 + 0*a - 1/20*a**5. Let m(p) = 0. What is p?
16
Factor 157*b**2 - 1064 - 279*b**2 + 524*b + 126*b**2.
4*(b - 2)*(b + 133)
Let x = 736 - 734. Factor 0*l**3 + 0*l**3 + 292*l**2 + 285*l**2 + 2*l**3 + 686000 - 157*l**x + 29400*l.
2*(l + 70)**3
Let g(r) be the first derivative of -5*r**6/6 + 19*r**5 - 10*r**4 - 860*r**3/3 - 360*r**2 + 3326. Suppose g(t) = 0. Calculate t.
-2, -1, 0, 4, 18
Let g = 1721/355 - 330/71. Let y(t) be the first derivative of 1/12*t**6 + g*t**5 + 3/4*t**2 - 25 - 1/3*t**3 + 0*t - 1/2*t**4. Factor y(o).
o*(o - 1)**2*(o + 1)*(o + 3)/2
Let q be (-9)/(-30) - (40016/(-480))/61. Let a(d) be the first derivative of -q*d**3 + 25/2*d**2 + 48 - 20*d. Factor a(v).
-5*(v - 4)*(v - 1)
Let c(b) = -205*b**2 - 1435*b + 35. Let k(t) = -35*t**2 - 239*t + 6. Let d(p) = -6*c(p) + 35*k(p). Factor d(s).
5*s*(s + 49)
Factor 0 + 1/2*y**2 + 61/2*y.
y*(y + 61)/2
Let p(j) be the third derivative of -j**7/210 - 17*j**6/60 - 169*j**5/60 + 85*j**4 - 600*j**3 - 64*j**2 - 5*j - 5. Factor p(k).
-(k - 3)**2*(k + 20)**2
Suppose p + 4 = s, -p + 6015*s = 6011*s + 25. Let 8/3*j**2 - 4/9*j**p + 0 + 0*j = 0. Calculate j.
0, 6
Let q be -22 - (-82)/((-1640)/(-540)). Let 0*z + 0 + 2/9*z**3 - 32/9*z**2 + 32/9*z**4 - 2/9*z**q = 0. What is z?
-1, 0, 1, 16
Let f(w) be the second derivative of w**4/21 + 13*w**3/21 - 24*w**2/7 - 201*w. Factor f(l).
2*(l + 8)*(2*l - 3)/7
Suppose -4*d + 4*b + 20 = 0, 0 = -2*d - 6*b + b + 10. Suppose 45 = d*y + 5*l, 5*y - 5*l + 6*l = 29. Factor -4*r + 12*r**2 - 7*r**2 + 14*r**2 - y*r**2.
2*r*(7*r - 2)
Let o(s) be the second derivative of -184*s + 15/2*s**2 + 0 - 50/3*s**3 - s**5 - 5/6*s**6 + 65/6*s**4. Suppose o(i) = 0. Calculate i.
-3, 1/5, 1
Let x be ((-2)/(8/20))/(13 - 14). Suppose 144 - 154*l**3 - 3*l**2 - 96*l - x*l**2 + 162*l**3 + l**4 = 0. Calculate l.
-6, 2
Let p(s) be the second derivative of -54*s + 0*s**2 + 0 + 0*s**3 + s**4 + 1/30*s**5. What is j in p(j) = 0?
-18, 0
Suppose 41 = 5*x - 4*w, -2*x = -6*x - 5*w. Suppose 0 = -4*k + 4*u, -x*u + 5 + 7 = k. Solve 17*i**2 - 31*i**k + 10*i**2 + 20*i = 0.
0, 5
Let d(h) be the first derivative of 10580/3*h - 76 - 230/3*h**2 + 5/9*h**3. Find i such that d(i) = 0.
46
Let h = 812 - -70. Suppose h = 6*r + r. Suppose 121*o**4 - r*o**4 - 2*o + 2*o - 5*o**2 - 10*o**3 = 0. Calculate o.
-1, 0
Let f = -2102 + 2107. Let d(l) be the second derivative of 1/70*l**f + l + 8/7*l**2 - 1/21*l**4 + 0 - 4/21*l**3. Factor d(p).
2*(p - 2)**2*(p + 2)/7
Let t(f) be the first derivative of f**4/24 - 202*f**3/9 + 10201*f**2/3 + 1132. Factor t(o).
o*(o - 202)**2/6
Let i(l) = -l**4 - 49*l**3 + 101*l**2 - 33*l. Suppose 15*g + 5 = 20. Let q(n) = n**4 - n**3 - n**2 - 2*n. Let h(m) = g*i(m) + 6*q(m). What is o in h(o) = 0?
0, 1, 9
Let l(z) = -9*z**3 - 1422*z**2 + 2387*z - 954. Let n(k) = 9*k**3 + 1425*k**2 - 2391*k + 954. Let w(i) = 3*l(i) + 2*n(i). Factor w(o).
-3*(o - 1)*(o + 159)*(3*o - 2)
Find u, given that -277*u - 316*u + 597*u - 4*u**3 - u**2 + u**4 = 0.
-1, 0, 1, 4
Let r = -197 - -201. Let t(n) = n**2 + 1. Let j(m) = -m**2 + 52*m - 16. Let o(a) = r*t(a) - j(a). Factor o(x).
(x - 10)*(5*x - 2)
Let f(u) be the first derivative of 10*u**6/3 - 413*u**5/45 + 17*u**4/4 + 73*u**3/9 - 145*u**2/18 + 2*u/3 - 10261. Suppose f(l) = 0. Calculate l.
-3/4, 2/45, 1
Let c(m) be the third derivative of 85*m**8/1008 - 257*m**7/126 + 829*m**6/72 - 655*m**5/36 + 55*m**4/12 - 12397*m**2. Determine o, given that c(o) = 0.
0, 2/17, 1, 3, 11
Let a be 2/19 + (-220)/(-76). Factor -580*x + 599*x**2 + 206*x**2 - 155*x**2 + 47 + 1 + 125*x**a + 72.
5*(x + 6)*(5*x - 2)**2
Let d(c) = 15*c - 111. Let o be d(14). Factor o*a - 33 - 3*a**2 + 51 - 5*a**2 - 29*a.
-2*(a - 9)*(4*a + 1)
Let f(j) be the second derivative of 1/6*j**4 + 0 + 0*j**3 + 19*j - 4*j**2. Determine a, given that f(a) = 0.
-2, 2
Let s(v) = 4*v**2 - 24*v - 5. Let c be s(13). Let -4789 + 1819 - 6079 - 3*q**2 - 336*q - c = 0. What is q?
-56
Let s(k) be the third derivative of -k**8/224 - 3*k**7/140 + 19*k**6/80 + 83*k**5/40 + 51*k**4/8 + 10*k**3 - 8*k**2 + 19. Solve s(r) = 0.
-4, -2, -1, 5
Solve -62*g**5 - 8*g**2 + 2*g**3 + 63*g**5 - 3136*g**4 + 3141*g**4 = 0 for g.
-4, -2, 0, 1
Let g(d) be the third derivative of -20*d**2 + 0*d**3 + 1/300*d**6 + 0 + 0*d**4 - d + 7/150*d**5. Let g(n) = 0. Calculate n.
-7, 0
Let a = 282 - 290. Let j be 1/4 + 2 + 2/a. Factor -4/5*v**j + 0 - 12/5*v.
-4*v*(v + 3)/5
Let t(b) be the second derivative of b**6/20 - 18*b**5/5 + 311*b**4/4 - 276*b**3 + 1587*b**2/4 - 711*b - 2. Factor t(j).
3*(j - 23)**2*(j - 1)**2/2
Factor -72/5 + 3/5*y**2 + 6/5*y.
3*(y - 4)*(y + 6)/5
What is o in 210*o**2 + 634 + 1/3*o**3 - 2533/3*o = 0?
-634, 1, 3
Let 50/3*h + 76 + 2/3*h**2 = 0. Calculate h.
-19, -6
Let y = -1961285/3 - -653763. Determine o, given that 0 + y*o + 1/3*o**3 - 5/3*o**2 = 0.
0, 1, 4
Let r(s) = 2*s**4 + s**3 + s**2 - 4*s. Let u(x) = -12*x**4 + 83*x**3 - 879*x**2 - 2096*x. Let v(h) = -5*r(h) - u(h). Determine g, given that v(g) = 0.
-2, 0, 23
Let q(p) = -4*p**3 - 139*p**2 - 645*p - 30. Let x(u) = -u**3 - 35*u**2 - 162*u - 8. Let y(g) = -4*q(g) + 15*x(g). Suppose y(h) = 0. What is h?
-25, -6, 0
Let j(q) be the first derivative of q**4/8 + 13*q**3/6 - 77*q**2/4 - 1089*q/2 - 355. Factor j(k).
(k - 9)*(k + 11)**2/2
Let x(b) be the second derivative of -1/195*b**6 - 2/39*b**4 + 83*b - 1/26*b**5 + 0*b**3 + 0 + 0*b**2. Solve x(m) = 0 for m.
-4, -1, 0
Let -9*a - 18/5*a**2 - 24/5 + 3/5*a**3 = 0. What is a?
-1, 8
Let l = -3197 - -3199. Let s(q) be the third derivative of -5*q**4 + 3/4*q**5 + 0*q - 1/24*q**6 - 30*q**l + 40/3*q**3 + 0. Factor s(d).
-5*(d - 4)**2*(d - 1)
Suppose -4*w = 386 - 1346. Factor -11*c - 4*c**2 + 471 - c - w - 239.
-4*(c + 1)*(c + 2)
What is w in -156/7*w**2 + 600/7 - 2/7*w**3 - 442/7*w = 0?
-75, -4, 1
Let l(n) = n**3 + 24*n**2 - 25*n - 593. Let r be l(-24). Let h(w) be the first derivative of 0*w**2 - r + 1/2*w**3 - 3/2*w. Let h(t) = 0. Calculate t.
-1, 1
What is s in -2321*s**3 - 2319*s**3 + 4642*s**3 - 1224*s + 1232 + 300*s**2 = 0?
-154, 2
Let t be (2 + (-258)/75)/(12/(-20)). Suppose t*i**4 + 0*i**2 + 3/5*i**5 + 0 + 0*i - 3*i**3 = 0. What is i?
-5, 0, 1
Let y = -921/7 - -3691/28. Let w(z) be the first derivative of 1/12*z**3 + 1/16*z**4 - 1/8*z**2 - 23 - y*z. Factor w(t).
(t - 1)*(t + 1)**2/4
Let d(j) be the first derivative of -j**4 + 424*j**3/3 - 1970*j**2 + 9600*j - 2685. Factor d(u).
-4*(u - 96)*(u - 5)**2
Let y(i) be the first derivative of -2*i**5/5 + 77*i**4 - 5200*i**3 + 124384*i**2 + 562432*i + 820. Solve y(n) = 0 for n.
-2, 52
Let b(y) be the second derivative of y**7/126 + y**6/15 + 11*y**5/60 + y**4/6 + 525*y. Factor b(q).
q**2*(q + 1)*(q + 2)*(q + 3)/3
Factor -466*j**2 + 3*j**4 - 72*j - 108 + 18*j**3 - 441*j**2 + 922*j**2.
3*(j - 2)*(j + 2)*(j + 3)**2
Let j(r) = 3*r**5 + 2*r**4 + r. Let k(q) = 2*q**5 - q**3 + q. Let b(h) = 5*j(h) - 5*k(h). Factor b(g).
5*g**3*(g + 1)**2
Let d(q) be the second derivative of 0*q**2 - 1/6*q**4 + 1/20*q**5 - 30 + 0*q**3 - q. Factor d(x).
x**2*(x - 2)
Let b = -1437 + 220. Let t = 3667/3 + b. Find w such that 0*w + t - 4/3*w**2 = 0.
-2, 2
Let s = -413 + 415. Let -13*z**3 - z**3 - 33*z**2 + 11*z**2 - 12*z + 2*z**5 + 2*z**4 - 4*z**s = 0. What is z?
-2, -1, 0, 3
Let 28/5*u**4 + 24/5*u - 10/3*u**3 + 16/15 - 22/15*u**5 - 20/3*u**2 = 0. Calculate u.
-1, -2/11, 1, 2
Suppose -15 = 3*o, -5*j + 20 = -0*j - 4*o. Suppose 32003 = 144*x + 32003. Factor -3/2*g**2 + x - 1/2*g**3 + j*g.
-g**2*(g + 3)/2
Let d(t) be the second derivative of 0 + 1/70*t**6 - 5/28*t**4 + 0*t**2 - 120*t - 3/35*t**5 + 0*t**3. Solve d(h) = 0.
-1, 0, 5
Let m(z) be the first derivative of -2*z**6/39 - 534*z**5/65 - 4282*z**4/13 + 15774*z**3/13 + 18088*z**2/13 - 27744*z/13 + 5876. Find r 