l**2.
5*(l - 384)*(l - 1)/3
Let y(s) be the first derivative of 34*s - 16*s**2 - 13 - 2/3*s**3. Determine n so that y(n) = 0.
-17, 1
Let w(s) be the third derivative of s**7/420 - 13*s**6/60 + 19*s**5/8 - 209*s**4/24 + 46*s**3/3 - 334*s**2 - 5*s - 1. Factor w(i).
(i - 46)*(i - 4)*(i - 1)**2/2
Let u(z) be the third derivative of z**8/252 + 19*z**7/315 + 41*z**6/180 - 7*z**5/30 - 11*z**4/4 - 6*z**3 + z**2 + 316. Solve u(n) = 0 for n.
-6, -3, -1, 3/2
Let d = 155257/17 + -9129. Let w = d - 269/85. Factor -4/5 + 1/5*r**2 + w*r.
(r - 1)*(r + 4)/5
Let q(m) be the first derivative of -18*m**5/5 - 309*m**4/8 - 237*m**3/2 - 339*m**2/4 - 45*m/2 + 2684. What is h in q(h) = 0?
-5, -3, -1/3, -1/4
Suppose -2/3*o**2 + 28*o + 176/3 = 0. Calculate o.
-2, 44
Let m(k) = k**3 + 11*k**2 - 570*k + 4. Let r be m(-30). Solve 17/3*n**2 + 8/3*n - r + 4/3*n**4 - 17/3*n**3 = 0.
-3/4, 1, 2
Let z(b) be the first derivative of -b**9/28728 + b**8/2660 - 172*b**3/3 + 59. Let f(l) be the third derivative of z(l). Factor f(m).
-2*m**4*(m - 6)/19
Let n be 0/(-3) - (-168)/(-24). Let j be n/(-3) + 402/(-180). Factor -1/10*b**2 - 1/5*b - j.
-(b + 1)**2/10
Suppose 0 = -6*m + 11*m - 105. Suppose -3*q + 27 - m = 0. What is k in 15*k**q + 265 - 265 + 5*k**3 = 0?
-3, 0
Let z(m) be the first derivative of -m**4/16 + m**3 - 5*m**2/2 - 328. Solve z(d) = 0 for d.
0, 2, 10
Factor -32 - 34/3*a - 2/9*a**2.
-2*(a + 3)*(a + 48)/9
Let l(o) be the second derivative of o**7/588 + o**6/70 - 17*o**5/105 + 2*o**4/7 - 68*o**3/3 + 157*o. Let p(m) be the second derivative of l(m). Factor p(h).
2*(h - 2)*(h + 6)*(5*h - 2)/7
Suppose 3/7*q**5 - 96/7*q**2 + 24/7*q**4 + 0 + 24/7*q**3 - 144/7*q = 0. Calculate q.
-6, -2, 0, 2
Suppose -5*p + 30 = -2*k, -5*k + 8*k + 15 = 0. Factor -86*t**4 + 88*t**p - 28*t**3 + 224*t - 57 + 95 + 66*t**2 + 90.
2*(t - 8)**2*(t + 1)**2
Let q(i) be the second derivative of -5/8*i**2 + 0 - 1/96*i**4 + 11/48*i**3 + 28*i. Solve q(j) = 0 for j.
1, 10
Let s(t) be the third derivative of 11*t**7/1470 - 53*t**6/140 + 223*t**5/84 - 83*t**4/14 - 50*t**3/21 - 5060*t**2. Solve s(o) = 0 for o.
-1/11, 2, 25
Let h be (-16)/264*-47 - ((-98)/(-77))/7. Find s such that -h - 19/3*s**3 + 20/3*s - 1/6*s**2 + 17/6*s**4 - 1/3*s**5 = 0.
-1, 1/2, 1, 4
What is i in -13744 + 4*i**2 - 478*i - 143*i + 147*i + 13744 = 0?
0, 237/2
Let m be -77 + (67940/(-20))/(-43). Let -4/7*o**4 + 0 - 6/7*o - 2/7*o**5 + 8/7*o**3 + 4/7*o**m = 0. What is o?
-3, -1, 0, 1
Let u be 51200/10*((-4)/(-2))/(1125/180). Suppose 5216/5*h**2 + u + 92/5*h**4 - 14848/5*h + 2/5*h**5 + 1346/5*h**3 = 0. What is h?
-16, 1
Let z(f) be the third derivative of -94*f**2 + 1/80*f**6 + 57/40*f**5 + 0*f**3 + 0*f + 0 + 0*f**4. Find w, given that z(w) = 0.
-57, 0
Let i(j) = 306*j**3 - 280*j**2 + 99*j - 9. Suppose 6 + 36 = -7*b. Let q(v) = v**3 + 2*v. Let m(o) = b*q(o) + i(o). Factor m(f).
(3*f - 1)*(10*f - 3)**2
Let r be (15/(120/16) + -9)*3/(-4). Let g(m) be the second derivative of 6*m**2 + r*m**4 + 21/2*m**3 + 26*m + 3/5*m**5 + 0. Factor g(c).
3*(c + 1)*(c + 4)*(4*c + 1)
Determine a, given that 0*a**2 + 0 + 0*a + 3/2*a**4 + 0*a**3 = 0.
0
Let u(b) be the first derivative of -b**8/560 - b**7/150 - b**6/120 - b**5/300 - 21*b**2 - 56. Let t(d) be the second derivative of u(d). Factor t(j).
-j**2*(j + 1)**2*(3*j + 1)/5
Let v(j) be the third derivative of j**6/24 - 5*j**5/6 + 95*j**4/24 + 25*j**3 - 12*j**2 + 29. Factor v(x).
5*(x - 6)*(x - 5)*(x + 1)
Let d(y) be the second derivative of y**7/315 - 2*y**6/25 + 17*y**5/50 + 7*y**4/9 - 39*y - 22. Let d(z) = 0. What is z?
-1, 0, 5, 14
Let c(d) be the first derivative of -61 - 7*d**2 + 44/3*d - 2/9*d**3. Let c(w) = 0. Calculate w.
-22, 1
Let r be -1*(116/(-36) - 2/(-9)). Factor -70*x + 358*x + 48*x**2 - 3*x**r + 5*x**3.
2*x*(x + 12)**2
Let h(u) = 10*u - 68. Let g be h(7). Factor 3*x + 20 + 175*x**g - 84*x**2 - 89*x**2 + 11*x.
2*(x + 2)*(x + 5)
Let n(b) be the second derivative of 2*b + 13/19*b**2 + 1/190*b**5 - 25/57*b**3 + 101 + 11/114*b**4. Suppose n(u) = 0. Calculate u.
-13, 1
Factor -2/13*a**2 - 10400 - 80*a.
-2*(a + 260)**2/13
Let l = -744 - -742. Let d be (3 - 1)*(15/(-8) - l). Determine k so that 1/4*k**2 - 1/2 + d*k = 0.
-2, 1
Let m(k) be the third derivative of k**9/12096 - k**8/2016 - k**7/336 - 16*k**5/5 + 150*k**2. Let q(v) be the third derivative of m(v). Factor q(o).
5*o*(o - 3)*(o + 1)
Suppose -v + 2*v - 4*v = 0. Suppose v = z - 4 + 2. Suppose 20*m + 4*m**3 - 5 + 24 - 11 + 16*m**z = 0. What is m?
-2, -1
Let h be (2 - 24/10)*(-537150)/28648*2/30. Factor 4*w - 4*w**3 - 8 + 15/2*w**2 + h*w**4.
(w - 4)**2*(w - 1)*(w + 1)/2
Let y be ((-184)/(-161))/(-1*(-3)/42). Suppose -q - 52 = -5*q. Let y*b**4 - 3*b - 28*b**4 - 5*b**3 + q*b**4 + 7*b**2 = 0. What is b?
0, 1, 3
Let a(c) = 3*c**2 + 1757*c + 255707. Let r(h) = 3*h**2 + 1758*h + 255690. Let u(l) = -6*a(l) + 5*r(l). Find g, given that u(g) = 0.
-292
Let g = -72804 + 509648/7. Solve -2/7*x**2 + g*x + 22/7 = 0 for x.
-1, 11
What is r in 128 - 44/3*r**2 + 112/3*r - 2/3*r**3 = 0?
-24, -2, 4
Let d be 17 + ((-1230)/80 - (-3)/(-24)). Factor d*z**2 - 75/2*z - 39.
3*(z - 26)*(z + 1)/2
Let z(m) be the first derivative of 19/5*m**2 + 28/25*m**5 + 9/5*m**4 - 104/15*m**3 - 1/3*m**6 + 12/5*m + 234. Determine n so that z(n) = 0.
-2, -1/5, 1, 3
Let q(t) be the third derivative of t**5/15 - 98*t**4/3 + 3008*t**3/3 - 4*t**2 + 727*t. Factor q(b).
4*(b - 188)*(b - 8)
Factor 39*d + 20*d + 184*d**2 + 177*d - 48*d - 4*d**3.
-4*d*(d - 47)*(d + 1)
Let h = -11566 - -173498/15. Let a(d) be the first derivative of -2/45*d**3 - 1/3*d**2 - h*d - 10. Factor a(o).
-2*(o + 1)*(o + 4)/15
Let b(j) = -2*j**3 + 3*j**2 + 9*j. Let r be b(-2). Let -2707*n**3 - 22 - 2*n - 32*n**4 + 64*n**2 - r + 2711*n**3 - 2*n**5 = 0. Calculate n.
-16, -1, 1
Let w be (-35)/14*96/(-450). Let j(u) be the first derivative of -1/5*u**2 - 12 - 2/45*u**3 + w*u. Let j(d) = 0. Calculate d.
-4, 1
Let j = 2/6443 - -12856/96645. Let g(s) be the first derivative of j*s**3 + 2/5*s**2 + 0*s - 22. Let g(c) = 0. Calculate c.
-2, 0
Let a(h) be the first derivative of -5*h**6/6 - 21*h**5 - 220*h**4 - 3680*h**3/3 - 3840*h**2 - 6400*h + 1129. Determine n so that a(n) = 0.
-5, -4
Let y(x) be the third derivative of -1/18*x**4 + 36*x**2 - 1/60*x**5 - 4*x + 2/9*x**3 + 1/180*x**6 + 1/630*x**7 + 0. Find v, given that y(v) = 0.
-2, 1
Suppose 1069*r - 36 = 1065*r. Suppose -3*p = -0 - 3, g + 5*p = r. Factor 2/3 + l**2 + 5/3*l - 1/3*l**g - 1/3*l**3.
-(l - 2)*(l + 1)**3/3
Find c, given that c**2 + c**3 + 1/3*c**4 + 1/3*c + 0 = 0.
-1, 0
Let t be ((-22)/4 + 5)*64. Let i be ((-27)/(-12))/(-2 + (-76)/t). Factor 20*g - g**2 + i + 7*g**2 + 2 + 2*g**2.
4*(g + 2)*(2*g + 1)
Let c be 19/19 + (-8)/(8 - 0). Factor -4*y**3 - 10/3*y**4 + 8/3*y**2 + c - 2/3*y**5 + 16/3*y.
-2*y*(y - 1)*(y + 2)**3/3
Let n(o) be the first derivative of -56/5*o**5 - 2/3*o**6 - 12*o**4 + 151 + 26*o**2 + 0*o + 56/3*o**3. Determine r so that n(r) = 0.
-13, -1, 0, 1
Let v(r) be the second derivative of -r**4/28 - 263*r**3/7 + 1581*r**2/14 + 2*r - 541. Factor v(t).
-3*(t - 1)*(t + 527)/7
Let m(j) = 18*j**4 + 21*j**3 - 39*j**2 - 10*j. Let s(l) = 29*l**4 + 31*l**3 - 58*l**2 - 16*l. Let x(g) = 8*m(g) - 5*s(g). Let x(r) = 0. Calculate r.
0, 2, 11
Let q(c) = -c**3 + 10*c**2 + 6*c - 8. Let w be q(10). Suppose -2*v + w - 46 = 0. Let -8 + 53*t - 5*t - 28 - 21*t**2 + 3*t**v = 0. Calculate t.
2, 3
Let w = 7838/4977 + -32/1659. Factor -10/3*b**3 + 26/9*b**2 + 0 - 2/9*b**5 + w*b**4 - 8/9*b.
-2*b*(b - 4)*(b - 1)**3/9
Let u be 0/(-565)*(-2 + (-12)/(-8)). Suppose -24/7*y - 3*y**2 + 3/7*y**3 + u = 0. Calculate y.
-1, 0, 8
Let f(u) be the second derivative of -3*u**5/20 + 7*u**4 - 25*u**3/2 - 81*u**2 - u - 83. What is q in f(q) = 0?
-1, 2, 27
Suppose 0 = -63*o + 60*o - 21. Let c be (885/(-25))/(-3) + o. Let 48/5 - 21/5*w**2 - c*w - 3/5*w**3 = 0. What is w?
-4, 1
Let x(n) be the first derivative of 2/9*n**3 + 4/9*n - 1/18*n**4 + 5/9*n**2 - 2/45*n**5 + 7. Factor x(a).
-2*(a - 2)*(a + 1)**3/9
Suppose -322*m - 1347*m + 5307 = 100*m. Factor 4 + 3*q**2 + 20/3*q + 1/3*q**m.
(q + 1)*(q + 2)*(q + 6)/3
Solve 2*q**5 - 19195 + q**5 + 108*q + 39*q**2 - 3*q**4 + 19087 - 39*q**3 = 0.
-3, -2, 1, 2, 3
Let w(h) be the third derivative of 1/240*h**6 - 12 + 5*h**2 + 1/10*h**5 + 8/3*h**3 + 3/4*h**4 + 0*h. Factor w(i