/135 - 73*i**4/54 - 13*i**3/9 - 157*i**2 - 2. Suppose o(a) = 0. What is a?
-13, -1, -1/3, 3
Let u(a) be the first derivative of -a**5 + 95*a**4/4 - 325*a**3/3 + 385*a**2/2 - 150*a - 205. Solve u(r) = 0.
1, 2, 15
Let v(h) be the first derivative of 9*h**5/5 - h**4 + 2*h**3/3 + 5*h**2/2 + 5*h + 68. Let w(l) = l**4 + l**3 + l + 1. Let n(t) = v(t) - 5*w(t). Factor n(o).
o**2*(o - 2)*(4*o - 1)
Find l, given that 103*l**4 + 204*l**2 - 216*l**2 - 2*l**5 + 10*l**3 - 99*l**4 = 0.
-2, 0, 1, 3
Let b(j) be the first derivative of -j**4 + 584*j**3/3 - 10360*j**2 - 43808*j - 3049. Factor b(s).
-4*(s - 74)**2*(s + 2)
Suppose 0 = -m + 3. Let k be (0/2 - -1)*m. Let -12*z**k + 8*z**3 + 12 + 22*z + 4*z**2 - 2*z = 0. What is z?
-1, 3
Let k be 1/(-76) - (-25194)/49096. Factor 0*w**3 + 0 - 1/3*w - k*w**2 + 1/6*w**4.
w*(w - 2)*(w + 1)**2/6
Let h(g) be the first derivative of -g**6/20 - 9*g**5/40 - g**4/4 + 51*g - 15. Let z(x) be the first derivative of h(x). Factor z(a).
-3*a**2*(a + 1)*(a + 2)/2
Determine u so that -297/5*u**2 - 27/5*u - 96/5*u**3 + 0 = 0.
-3, -3/32, 0
Let n(s) be the third derivative of -s**6/780 - 11*s**5/65 + 45*s**4/52 - 68*s**3/39 - 2*s**2 - 328*s. Suppose n(o) = 0. Calculate o.
-68, 1
Let h(j) be the second derivative of -j**4/84 - 5*j**3/42 + 12*j**2/7 - 859*j. Factor h(f).
-(f - 3)*(f + 8)/7
Factor 4/3 + 2/3*y**3 + 1/3*y**4 - 4/3*y - y**2.
(y - 1)**2*(y + 2)**2/3
Let v(s) be the first derivative of 70 - 529/3*s - 23/3*s**2 - 1/9*s**3. Factor v(n).
-(n + 23)**2/3
Let a(f) be the third derivative of -f**6/24 + 3*f**5/2 - 385*f**4/24 + 50*f**3 + 9*f**2 - 5*f + 2. Determine c so that a(c) = 0.
1, 5, 12
Let d(o) be the third derivative of 45*o**8/112 + 17*o**7/10 + 121*o**6/120 - 109*o**5/60 - o**4/6 + 2*o**3/3 - 464*o**2. Solve d(g) = 0 for g.
-2, -1, -1/5, 2/9, 1/3
Let c(f) = 14*f**2 - f - 1. Let n be c(1). Suppose -2*q + 4 = -n. Factor q*s + 54*s**2 + 4*s - 51*s**2.
3*s*(s + 4)
Suppose -449*q = -440*q - 81. Let i(a) be the first derivative of 0*a + 4*a**2 - 8/3*a**3 + q + 1/2*a**4. Factor i(d).
2*d*(d - 2)**2
Let h(d) be the second derivative of -5*d**4/12 + 1285*d**3/6 + 1295*d**2 + 3671*d. Factor h(l).
-5*(l - 259)*(l + 2)
Let a(c) be the third derivative of 1/420*c**7 - 1/120*c**6 - 14*c**2 + 0 + 0*c**5 + 0*c + 0*c**4 + 0*c**3. Factor a(x).
x**3*(x - 2)/2
Let i = -80 + 96. Let b be -5 + 132/i - (-2)/(-8). Factor -5*z**3 - b*z + 0*z + 15*z**2 - z - 6*z.
-5*z*(z - 2)*(z - 1)
Let k(q) be the first derivative of -q**6/24 + q**5/12 - q**2/2 + 4*q - 39. Let w(i) be the second derivative of k(i). Factor w(c).
-5*c**2*(c - 1)
What is d in -6/7*d**4 + 0 + 222/7*d**2 + 102/7*d**3 + 114/7*d = 0?
-1, 0, 19
Let a(u) be the first derivative of -24*u**2 + 185 + 80*u + 4/3*u**3. Factor a(r).
4*(r - 10)*(r - 2)
Find y, given that -2/7*y**5 + 0 + 6/7*y**4 + 234/7*y**2 + 0*y + 242/7*y**3 = 0.
-9, -1, 0, 13
Factor -4/9 - 14156/9*g - 12524521/9*g**2.
-(3539*g + 2)**2/9
Factor -64/5*d**2 - 112/5*d + 52/5*d**3 + 0 + 4/5*d**4.
4*d*(d - 2)*(d + 1)*(d + 14)/5
Factor 60 - 16/3*w**2 + 1/3*w**3 + w.
(w - 15)*(w - 4)*(w + 3)/3
Let g be 2856/(-882)*(6 - 135/18). Factor 2/7*x**2 + 36/7*x + g.
2*(x + 1)*(x + 17)/7
Let z(l) be the second derivative of 3 + 3/100*l**5 + 17/10*l**3 + 0*l**2 + 28*l - 9/10*l**4. Let z(j) = 0. What is j?
0, 1, 17
Let p(v) = 15*v**2 - 36*v + 21. Let n(c) = 61*c**2 - 149*c + 82. Let f(r) = 6*n(r) - 23*p(r). Let f(i) = 0. What is i?
1/7, 3
Let t(p) be the first derivative of 3*p**5/70 + p**4/3 + 20*p**3/21 + 8*p**2/7 - 78*p - 13. Let x(w) be the first derivative of t(w). Factor x(n).
2*(n + 2)**2*(3*n + 2)/7
Let i(f) be the second derivative of f**4/9 + 718*f**3/9 - 724*f**2 - 110*f + 4. Factor i(g).
4*(g - 3)*(g + 362)/3
What is m in 491*m + 548*m - 2857728 + 1069*m - 3*m**2 + 3748*m = 0?
976
Suppose 2*w - b = -75, -2*b - 5 - 178 = 5*w. Let z = w - -42. Determine n, given that -24*n**2 + 17*n**z + 12*n + n**5 + 24*n**4 - 27*n**3 - 3*n**5 = 0.
-2, -1, 0, 2/5, 1
Let o be ((-1342)/627)/(234/(-1482)). What is v in -58/9*v**2 - 62/9 + 2/9*v**3 - o*v = 0?
-1, 31
Let u(q) = -q + 9 - 11 + 3 + 7. Let c be u(6). Factor -3/5*l - 3/5*l**c - 1/5 - 1/5*l**3.
-(l + 1)**3/5
Let f(j) be the first derivative of 16*j**5/55 + 51*j**4/22 + 76*j**3/11 + 100*j**2/11 + 48*j/11 - 822. Determine g so that f(g) = 0.
-2, -3/8
Let x(l) be the third derivative of -2 + 0*l - 3/8*l**4 - 103*l**2 - 1/40*l**5 + 4*l**3. Factor x(t).
-3*(t - 2)*(t + 8)/2
Let t(m) be the third derivative of m**6/360 - m**4/24 - 35*m**3/3 + 87*m**2. Let z(k) be the first derivative of t(k). Solve z(h) = 0 for h.
-1, 1
Let x be (8/4 + (-8)/3)*(-25 + 22). Factor 3*s**x - 33/2*s - 9.
3*(s - 6)*(2*s + 1)/2
Let g = -11113 + 188943/17. Let s = -6235/17 + 367. Factor -18/17*d**2 + g*d - s.
-2*(d - 1)*(9*d - 2)/17
Let c = 71985 + -1511681/21. Factor 0 - c*m**2 + 2/21*m**3 + 2/21*m.
2*m*(m - 1)**2/21
Factor 2/7*s**4 - 48/7*s**3 + 676/7*s + 0 + 234/7*s**2.
2*s*(s - 13)**2*(s + 2)/7
Let g(p) be the second derivative of p**4/6 + 28*p**3/3 - 128*p**2 - 3655*p. Factor g(s).
2*(s - 4)*(s + 32)
Let l = -156557 + 1409015/9. What is z in -4 + 34/9*z + l*z**2 = 0?
-18, 1
Let j(m) be the second derivative of -m**7/49 - 2*m**6/21 + m**5/35 + 8*m**4/21 + m**3/21 - 6*m**2/7 - m + 570. Find r, given that j(r) = 0.
-3, -1, 2/3, 1
Determine r so that -59*r - 1/5*r**5 - 306/5*r**2 - 24/5*r**4 - 136/5*r**3 - 102/5 = 0.
-17, -3, -2, -1
Let t(i) be the first derivative of -72 + 9/11*i**2 - 2/33*i**3 - 40/11*i. Find s such that t(s) = 0.
4, 5
Let j(d) = -4*d**2 - 6*d - 7. Let h be j(-1). Let r be (-20)/(-100)*h/(-3). Suppose r*g**5 + 56/3*g - 16/3 + 43/3*g**3 - 73/3*g**2 - 11/3*g**4 = 0. Calculate g.
1, 4
Suppose 0 - 34*q**2 - 10*q - 23/2*q**3 + 3/2*q**4 = 0. What is q?
-2, -1/3, 0, 10
Let a be (-3 - (-10 - -7)) + 0/(-2). Let t be 20 - (-4)/12*a. Determine m, given that 84 - 32*m - t - m**2 + 5*m**2 + 0*m**2 = 0.
4
Suppose -3*j = -12 + 6. Suppose -8 = -j*s - 2. Factor -3*x - 2*x**2 - 6*x**2 - x + 67*x**s + 0*x + 35*x**4.
x*(x + 2)*(5*x + 1)*(7*x - 2)
Factor 26569 + 1/4*b**2 + 163*b.
(b + 326)**2/4
Let i(q) = q**3 + 40*q**2 - 129*q - 159. Let r = -144 + 141. Let h(d) = d**3 + 2*d**2 - d + 1. Let y(w) = r*h(w) + i(w). Factor y(f).
-2*(f - 9)**2*(f + 1)
Find d, given that -14/9*d**4 + 40/9 - 9*d**3 + 226/9*d**2 - 19*d = 0.
-8, 1/2, 5/7, 1
Let w(u) = 2*u**2 - 30*u + 61. Let a be w(13). Suppose 4*r = 2*c + 16, 2*r + a = 3*c + 13. Factor 16/13 + 2/13*n**3 - 4/13*n**c - 8/13*n.
2*(n - 2)**2*(n + 2)/13
Suppose -1777*o = -1826*o + 98. Factor -4/3*w - 2/9*w**o - 2.
-2*(w + 3)**2/9
Let y(z) = -11*z**2 - z + 2. Let v(b) = 122*b**2 - 31*b + 298. Let d(j) = -4*v(j) - 44*y(j). Find h such that d(h) = 0.
10, 32
Suppose 0 = -5*a - 10, 4*t - 2*a - 2 = 5*t. Suppose -t*q - 3*q + 345 = 0. Factor 22 + 48*w - q - 59 - 4*w**2 - 38.
-4*(w - 6)**2
Let t(l) be the second derivative of 10*l**6/3 - 4*l**5 - 97*l**4/3 + 112*l**3/3 + 72*l**2 + l - 491. Solve t(k) = 0.
-9/5, -2/5, 1, 2
Let q = 866830/162531 - -2/162531. Suppose 16*o + q*o**2 - 44/9*o**3 - 8/9*o**4 + 4/9*o**5 + 0 = 0. Calculate o.
-2, 0, 3
Let s = -681 + 1294. Solve -15*z**3 - 3*z**3 + s + 3*z**4 - 649 + 27*z**2 + 12*z = 0 for z.
-1, 2, 3
Suppose 9*f - 100 = 5*f. Let p = -2 + f. Suppose 9*c**3 + 0*c + p*c + 12*c**4 - 5*c - 53*c**2 - 22*c**2 = 0. Calculate c.
-3, 0, 1/4, 2
Suppose 4*p = 6*p + 2*l - 2, 5*p - 1 = -3*l. Let d be 3 + ((-1 - -2) + p - 0). Solve d*b**2 - 8*b**2 + b**2 = 0 for b.
0
Let j be (-23)/(-2) - (-4411)/(-802). Determine l, given that 0*l**2 + 2/9*l**4 - j*l**3 + 0 + 0*l = 0.
0, 27
Let m(o) = -4*o**4 - 49*o**3 + 66*o**2 + 40*o - 59. Let k(v) = 4*v**4 + 48*v**3 - 68*v**2 - 36*v + 60. Let i(d) = -3*k(d) - 4*m(d). Factor i(u).
4*(u - 1)**2*(u + 1)*(u + 14)
Suppose -20*m - 115 + 15 = 0, 2*z = 2*m + 10. Determine h, given that z - 28/5*h**3 - 24/5*h**2 + 4/5*h = 0.
-1, 0, 1/7
Suppose 8*u - 6 = 11*u, -2*u = -6*w + 16. Let f(g) be the second derivative of -1/30*g**4 + 0 + 1/5*g**3 - 2/5*g**w - 14*g. Factor f(v).
-2*(v - 2)*(v - 1)/5
Let u = 98382 + -491784/5. Let 1323/5 + 3/5*q**2 + u*q = 0. Calculate q.
-21
Let r(m) = m**3 + 28*m**2 + 48*m - 94. Let p be r(-26). Let s be (-11*1/p)/((-6)/24). Let -38/5*y**2 - 6/5*y**4 - 4/5 + 26/5*y**3 + s*y = 0. What is y?
1/3, 1, 2
Suppose 5*u - 8