 = -3*u + 1. Let a be n(-6). Let f = a + -18. Solve f + 1 - y**2 + 2*y**2 - 1 - 2*y = 0.
1
Let u(r) be the first derivative of 0*r - 5/8*r**4 - 44 + r**3 - 1/4*r**2. What is w in u(w) = 0?
0, 1/5, 1
Let s be (-15 + 11)*(4/10)/((-16)/20). Factor 4/7*o + 10/21*o**s + 0 + 2/21*o**3.
2*o*(o + 2)*(o + 3)/21
Factor 39/2*y + 1/2*y**2 - 405.
(y - 15)*(y + 54)/2
Suppose -m + 69 - 44 = 0. Suppose 4*g - m = -w + g, 4*g + 144 = 5*w. Factor -4*l**2 + w - 1 - 5*l + 5 - 3*l.
-4*(l - 2)*(l + 4)
Let a(c) = 9*c**4 + 12*c**3 + 15*c**2 - 10*c. Let y(m) = 22*m**4 + 30*m**3 + 36*m**2 - 24*m. Let o(p) = -12*a(p) + 5*y(p). Let o(d) = 0. Calculate d.
-3, 0
Let h = -848458 + 2545408/3. Let -4/3*z**5 - 52/3*z + 20/3*z**3 - 16/3 - h*z**2 + 14/3*z**4 = 0. What is z?
-1, -1/2, 2, 4
Let l = 253793/7 - 36239. Factor 6/7*w**3 - l*w**2 + 222/7*w - 108/7.
6*(w - 18)*(w - 1)**2/7
Suppose -450*v = -441*v - 9 - 9. Suppose -6*k**v + 9/2*k**3 + 0*k + 0 + 3/2*k**4 = 0. Calculate k.
-4, 0, 1
Let r = 244/1485 + -79/1485. Factor 16/9 + 17/9*c + r*c**2.
(c + 1)*(c + 16)/9
Find y such that -152 - 52/3*y + 4/3*y**2 = 0.
-6, 19
Let q(n) be the second derivative of 24 - 2*n - 20*n**2 - 1/3*n**4 + 14/3*n**3. Suppose q(w) = 0. What is w?
2, 5
Let d = -948910 + 21824932/23. Factor -d*j**2 - 58/23 - 60/23*j.
-2*(j + 1)*(j + 29)/23
Suppose 0 = -3114*s + 3273*s. Suppose s - 1/3*a**4 + 4/3*a**3 + 0*a**2 + 0*a = 0. Calculate a.
0, 4
Suppose -6*v + v + 30 = -5*g, -4*g + 16 = 0. Suppose -4*l + v = l. Factor -5*t**2 - 5*t**2 + 18*t**l - 1 - 7*t**2.
(t - 1)*(t + 1)
Suppose -44 = -b - 10*b. Suppose -1 + 16 = 5*r. Suppose 4*u + 5*u - 12*u**3 + 10*u**b + r*u - 8*u**2 - 10 + 8 = 0. Calculate u.
-1, 1/5, 1
What is z in -54*z**4 - 183*z**3 - 61*z + 19*z**2 - 3*z**5 + 234*z**2 + 547*z + 98*z**2 + 3*z**4 = 0?
-9, -1, 0, 2
Let r be 8/((129/430)/(6/4)). Suppose 48*b - r = 38*b. Factor 25/2*x**2 + 1/2*x**5 + 0 - 9/2*x**b + 15/2*x**3 + 0*x.
x**2*(x - 5)**2*(x + 1)/2
Let r(a) be the first derivative of -a**4/20 - 26*a**3/15 - 45*a**2/2 - 648*a/5 - 1560. Factor r(j).
-(j + 8)*(j + 9)**2/5
Factor -5*b**3 - 1859879*b - 7155*b**2 - 756331*b - 796725*b - 542656665.
-5*(b + 477)**3
Let d(o) = -o**2 + 31*o + 30. Let h(p) be the first derivative of -2*p**3 + 78*p**2 + 151*p + 209. Let n(r) = 11*d(r) - 2*h(r). Let n(m) = 0. Calculate m.
-28, -1
Let r(k) be the first derivative of -k**5/40 - k**4/4 + 21*k**3/4 - k**2 - 30*k - 220. Let g(u) be the second derivative of r(u). Factor g(c).
-3*(c - 3)*(c + 7)/2
Factor -5/6*h**2 + 865/3 + 575/2*h.
-5*(h - 346)*(h + 1)/6
Suppose -3*s + a = 61, s = 5*s - 2*a + 82. Let h be 8*2/(-224)*s. Suppose 0 + 0*y**2 + 0*y + 8/7*y**3 + h*y**4 + 2/7*y**5 = 0. Calculate y.
-4, -1, 0
Let a be 24/(-54)*(-234)/130 + 24/20. Factor 3/2*x**4 + 0*x + 0 - 18*x**a - 3/2*x**3.
3*x**2*(x - 4)*(x + 3)/2
Let v = 3444829/7 + -492115. What is i in -22/7*i**3 - 2/7*i**5 + v*i**4 + 0*i + 0*i**2 + 0 = 0?
0, 1, 11
Let m be -7*(-2)/12*((-476)/98 + 5). Let l(v) be the first derivative of 24 + m*v**5 + 0*v - 5/18*v**3 - 1/6*v**2 + 1/12*v**4. Suppose l(s) = 0. Calculate s.
-1, -2/5, 0, 1
Let d be 12*(-406)/(-112) + -28. Suppose -7/2*u**5 + d*u**2 - 2 + 0*u + 33/2*u**4 - 53/2*u**3 = 0. What is u?
-2/7, 1, 2
Let f = 2452 + -2450. Let b(l) be the first derivative of -1/2*l**3 + 0*l + 0*l**f - 3/32*l**4 - 6. Factor b(u).
-3*u**2*(u + 4)/8
Let w be (1/6)/((-2)/(-18)). Let f = 37656 - 37651. Find u, given that u**3 + 3*u**2 + 1/2*u - 5/2*u**4 - w*u**f - 1/2 = 0.
-1, 1/3, 1
Let o = 34 - 32. Suppose -3*y - d + 12 = -4*d, -3*y - 2*d = -o. Factor -16*m**2 + 13*m - 5*m + 35*m**2 - 17*m**y.
2*m*(m + 4)
Let a be (2 + -1)*(-2 + 7 - 2). Let 38*b**a - 295*b - 125*b + 134*b**2 - 49*b**3 + 72 = 0. What is b?
2/11, 6
Let t = -79 + 83. Suppose 177*w**3 + 95*w**3 + t + 273*w**2 + 153*w - 125*w**3 + 23 = 0. Calculate w.
-1, -3/7
Let b(x) be the second derivative of 8*x**7/105 - 2*x**6/15 - 3*x**5/25 + x**4/3 - 2*x**3/15 + 15*x - 19. Suppose b(l) = 0. Calculate l.
-1, 0, 1/4, 1
Let y be (-76)/(-18) - (-18)/(-81). Let z be 2 - 2 - (3/(-1) + 1). Find s such that 36*s**2 - 73*s**2 + 39*s**2 + 2*s**3 - z*s - s**4 - s**y = 0.
-1, 0, 1
Let j(t) be the first derivative of t**3/12 + 155*t**2/4 + 154*t - 4542. Factor j(k).
(k + 2)*(k + 308)/4
Let q be 6/(-8) - 278*(-1)/168. Let y = -1/3 + q. Factor 0 + y*m - 2/7*m**3 - 2/7*m**2.
-2*m*(m - 1)*(m + 2)/7
Let u = 7267255/1956563 + -3/279509. Find p such that 0*p + 20/7*p**2 + 4/7*p**4 - u*p**3 + 2/7*p**5 + 0 = 0.
-5, 0, 1, 2
Suppose -6632/5*c + 4/5*c**2 + 2748964/5 = 0. Calculate c.
829
Suppose 2*t = 2*z + 13 - 9, 2*z = 11*t - 31. Let n(d) be the first derivative of 0*d**2 - 26 + 2/9*d**t - 2/3*d. Factor n(q).
2*(q - 1)*(q + 1)/3
Let h(c) = -10*c**2 + 115*c + 55. Let x(y) = -y**2 + 2*y + 1. Suppose -85 = -3*m + 3*n + 2*n, -2*n = -3*m + 70. Let o(d) = m*x(d) - h(d). Factor o(p).
-5*(p + 7)*(2*p + 1)
Let v = 6844817/4 - 1711204. Suppose v*j**2 + 900 + 30*j = 0. What is j?
-60
Factor -2304/11*k - 2/11*k**2 - 663552/11.
-2*(k + 576)**2/11
Let n(z) be the second derivative of 1/4*z**4 + 74*z + 0 + 16*z**3 + 384*z**2. What is t in n(t) = 0?
-16
Let z(b) be the first derivative of -2*b**5/45 - 83*b**4/9 - 1071. Solve z(x) = 0 for x.
-166, 0
Factor 2/13*j**3 + 68*j**2 + 99426/13*j + 383688/13.
2*(j + 4)*(j + 219)**2/13
Let d(r) = 3*r - 11. Let a be d(4). Let w(u) = 14*u**2 + 34*u + 6. Let v(k) = -k**2 - k. Let g(t) = a*w(t) + 5*v(t). Factor g(q).
(q + 3)*(9*q + 2)
Let p(y) = -175*y - 21344. Let q be p(-122). Suppose -i - l + 0 = -1, 10 = -5*l. Factor 0 + 7/2*o**i - 1/2*o**4 - 8*o**2 + q*o.
-o*(o - 3)*(o - 2)**2/2
Let r be (360/(-600))/(((-3)/20)/1). Let g(b) be the second derivative of -1/110*b**5 + 0 + 0*b**3 - 4/11*b**2 + 7*b + 1/22*b**r. Factor g(a).
-2*(a - 2)**2*(a + 1)/11
Let i(k) be the third derivative of -2*k**7/735 - 8*k**6/105 - k**5/5 + 47*k**4/21 - 16*k**3/3 - 438*k**2. Let i(z) = 0. Calculate z.
-14, -4, 1
Suppose -3804/5*p**2 + 880*p**3 - 38/5 - 160*p + 242/5*p**4 = 0. Calculate p.
-19, -1/11, 1
Let r be 0 - (-3 - (5/5)/1). Solve -2057 + 2057 - r*y**3 + 104*y**2 + 108*y = 0.
-1, 0, 27
Let -85/3*w**3 - 35 + 265/3*w - 10/3*w**4 - 65/3*w**2 = 0. What is w?
-7, -3, 1/2, 1
Let g(b) be the first derivative of -b**5/80 - b**4/16 - b**3/8 - 245*b**2/2 - 110. Let f(z) be the second derivative of g(z). Determine m so that f(m) = 0.
-1
Let v(o) = o**3 + 5*o - 10. Let w be v(2). Factor 35*i - 2*i**2 - 20 + w - 15*i**2 - 52 + i**3 + 45*i.
(i - 8)**2*(i - 1)
Let a(r) = -4*r**4 + 154*r**3 - 360*r**2 - 540*r. Let p(k) = -130*k**3 + 107*k + k**4 + 99*k**3 + 72*k**2 + k. Let f(l) = 2*a(l) + 11*p(l). Factor f(n).
3*n*(n - 6)**2*(n + 1)
Let l(b) be the third derivative of 5*b + 2*b**2 - 5/6*b**3 + 0 - 1/12*b**5 - 5/12*b**4. Factor l(c).
-5*(c + 1)**2
Let u(o) = 2*o**5 - 17*o**4 + 23*o**3 + 6*o**2. Let q(d) = -3*d**5 + 18*d**4 - 22*d**3 - 4*d**2. Let m(z) = 3*q(z) + 2*u(z). Factor m(j).
-5*j**3*(j - 2)**2
Let u(w) be the first derivative of -w**9/3024 + w**8/560 - w**6/90 - 7*w**3 - w**2 - 7. Let q(o) be the third derivative of u(o). Factor q(y).
-y**2*(y - 2)**2*(y + 1)
Let n be (-8 - -6)/((-2)/(-1)) + 3. Determine u, given that 13*u - 15*u**2 - 24 + 7*u**n + 3*u**2 + 8*u + 8*u**2 = 0.
-8, 1
Let a(w) be the third derivative of -w**6/160 - 3*w**5/20 + 79*w**4/32 - 51*w**3/4 + 3393*w**2. Find r, given that a(r) = 0.
-17, 2, 3
Let d be (-2181)/(-2070) + 48/(-552). Let i = 11/30 + d. Suppose 0*t + 3*t**3 - t**4 + 0 - 2/3*t**2 - i*t**5 = 0. What is t?
-2, 0, 1/4, 1
Let n(p) = 4*p**2 - p - 4. Let i(u) = 13*u**2 + 56*u - 124. Let x(t) = -i(t) + 4*n(t). Factor x(b).
3*(b - 18)*(b - 2)
Let h = 23 - 7. Suppose -20*g - h = -28*g. Factor -3/2*u**g - 12*u - 24.
-3*(u + 4)**2/2
Let m(d) = -9*d + 1. Let p be m(-1). Suppose 0 = -y - 4 + p. Let -84 - 81 + 4*c - y*c**2 + 4*c**3 + 164 - c**4 = 0. What is c?
1
Let r(s) be the third derivative of -s**5/6 + 253*s**4/36 + 34*s**3/9 - 3190*s**2. Determine q so that r(q) = 0.
-2/15, 17
Suppose -4*m - 3*j = -m - 75, -4*m - 5*j = -102. Suppose 27*g = m*g + 48. Find c, given that -4*c**3 + 10*c + 8 + g*c**2 + c**4 + c**4 + 10*c - 6*c**4 = 0.
-1, 2
Let b be 43316/(-5831) - 52/(-7). Factor 3/7*s**4 + 0 + b*s - 45/7*s**2 - 6/7*s**3.
3*s**2*(s - 5)*(s + 3)/7
Let l(v) be the third derivative of 