tive of 5*d**8/336 + 13*d**7/42 - 23*d**6/12 + 8*d**5/3 + 348*d**2. Solve c(l) = 0 for l.
-16, 0, 1, 2
Let k be 112*(7 + (-91)/14). Find b such that 2*b**4 - 36*b**2 + 26*b**3 - 12*b**3 + k*b**2 = 0.
-5, -2, 0
Suppose 3*t - 5*t + 7 = -5*t - 2, 3*c = -2*t. Find f such that -294 - 2/3*f**c - 28*f = 0.
-21
Let x(p) be the third derivative of p**7/1260 + p**6/40 + 7*p**5/30 + 19*p**4/18 + 8*p**3/3 - 2987*p**2. Find z, given that x(z) = 0.
-12, -2
Let y(u) be the first derivative of u**3 + 114*u**2 + 4332*u + 1096. Factor y(d).
3*(d + 38)**2
Suppose 0 = 5*k - 25, -3*j = -7*j - k - 1303. Let h = j + 502. Factor 188/3*x - 170*x**2 - 125/3*x**4 - 8 + h*x**3.
-(x - 3)*(5*x - 2)**3/3
Factor -437/4*s**2 - 21*s**3 - 177*s - 89 + 1/4*s**4.
(s - 89)*(s + 1)*(s + 2)**2/4
Suppose -m + 8 = 3*p, 2*p + 7 = 3*p - 4*m. Factor 64*g - 25*g**3 - g**5 + g**5 + 3*g**4 + g**4 + g**p + 2*g**5 - 16*g**2.
2*g*(g - 2)**2*(g + 2)*(g + 4)
Let k be 3/(30/(-4)) - 372/(-30). Solve -4*t**2 - 13*t**2 + k + 8*t + 13*t**2 = 0.
-1, 3
Suppose 393*y - 397*y + 8 = -2*r, -r - 7 = -3*y. Factor 529/2 - 23*a + 1/2*a**r.
(a - 23)**2/2
Suppose -1362 = -34*q + 31*q. Let u = q - 452. Factor 3*y**u - 3 + 3/2*y - 3/2*y**3.
-3*(y - 2)*(y - 1)*(y + 1)/2
Let v = -6 + 0. Let d be 1 + v/(-2) - (-4 - -6). Solve 27*t**4 + d*t**4 + 28*t - 88*t**3 + 89*t**4 - 36*t**5 - 32*t**2 + 2*t**4 + 8 = 0 for t.
-1/3, 1, 2
Let q be (-1)/(-20) - (59469/(-860) - -65). Determine t so that -84/5*t - 348/5*t**2 + 0 + 132/5*t**4 + q*t**5 - 153/5*t**3 = 0.
-7, -1, -2/7, 0, 2
Let p(n) = -9*n**3 + 22*n**2 + 5*n - 5. Let c(u) = 34*u**2 + 70 - 43 - 35 - 14*u**3 + 0*u**3 + 8*u. Let f(m) = -5*c(m) + 8*p(m). Solve f(j) = 0.
0, 3
Suppose -11 - 20 + 2*w**3 - 5 + 24*w - 20 + 0*w + 30*w**2 = 0. What is w?
-14, -2, 1
Let x be 1/(-4) + (-195)/(-60). Solve 7*r**2 + 13*r**2 + x*r**2 + 6 + 10*r**2 + 39*r = 0 for r.
-1, -2/11
Let v be 4/(-1 - 3) - 47*-9. Factor -5*o**2 + 2*o**2 - 128*o - o**2 + v - 1446.
-4*(o + 16)**2
Let m(x) be the third derivative of -1/840*x**7 + 0*x - 1/160*x**6 - 1/6*x**3 + 0 + 131*x**2 + 1/32*x**4 + 1/48*x**5. Factor m(c).
-(c - 1)**2*(c + 1)*(c + 4)/4
Find o such that 3720706 + 17910*o + 403865 + 20089591 + 4069114 - 1552601 + 3*o**2 = 0.
-2985
Let a(k) be the second derivative of -k**7/294 - k**6/70 + 6*k**5/35 - k**4/3 + 3*k + 11. Factor a(g).
-g**2*(g - 2)**2*(g + 7)/7
Let o(a) be the first derivative of -6*a**5/55 - 65*a**4/11 + 178*a**3/33 + 4*a**2 + 781. Let o(u) = 0. Calculate u.
-44, -1/3, 0, 1
Let x = 159337/36 + -4426. Let q(d) be the second derivative of -8/3*d**2 + 0 - 4/9*d**3 - x*d**4 + 25*d. Let q(f) = 0. Calculate f.
-4
Suppose 0 = -j + 2*a + 7, -5*j + a = -6*j + 1. Let k(l) be the first derivative of -4/11*l**2 + 0*l - 1/22*l**4 + 8/33*l**j + 14. Let k(d) = 0. What is d?
0, 2
Let t be (-10)/(-65) + (-441)/(-1872)*2. Let o(k) be the second derivative of 0 + 0*k**2 - k**3 - 3/40*k**5 + 5*k + t*k**4. Factor o(i).
-3*i*(i - 4)*(i - 1)/2
Let -14/9 - 1/9*j**2 - j = 0. Calculate j.
-7, -2
Let s(h) be the second derivative of -182*h + 49/15*h**3 - 4*h**2 + 1/12*h**4 + 0. Determine q, given that s(q) = 0.
-20, 2/5
Let z be 3 + (6 - 35/7). Suppose -44*p - 2*p**2 + z*p**2 - 64 - 4*p**2 + 22 = 0. What is p?
-21, -1
Let w(n) be the second derivative of -n**5/25 - 142*n**4/15 - 278*n**3/5 + 4*n - 860. Factor w(k).
-4*k*(k + 3)*(k + 139)/5
Let u(w) be the second derivative of 5*w**4/12 + 25*w**3 + 1125*w**2/2 + w - 485. Factor u(b).
5*(b + 15)**2
Let o(x) be the third derivative of x**5/100 - 5689*x**4/120 + 316*x**3/5 + 4*x**2 - 218*x - 2. Factor o(i).
(i - 1896)*(3*i - 1)/5
Let x(i) = -37*i**3 + 48*i**2 - 29*i - 62. Let f(u) = 17*u**3 - 22*u**2 + 15*u + 30. Let s(g) = 13*f(g) + 6*x(g). Find p such that s(p) = 0.
-3, -1, 6
Let g be -1*1*14 - (-37524)/2544. Suppose -3/4*l - 9/2 + g*l**2 = 0. Calculate l.
-2, 3
Let j(m) be the third derivative of 5/48*m**5 + m**2 + 3/2*m**3 - 36*m + 0 - 1/240*m**6 - 7/8*m**4. Factor j(k).
-(k - 6)**2*(2*k - 1)/4
Let t(s) be the second derivative of -5*s**7/336 + 13*s**6/10 - 4929*s**5/160 + 961*s**4/48 - 105*s + 3. What is x in t(x) = 0?
0, 2/5, 31
Let u(w) be the first derivative of 224 + 0*w - 30*w**2 - 64/3*w**3 - w**4. Find y such that u(y) = 0.
-15, -1, 0
Find i, given that -7868*i**3 - 441*i**4 - 687300*i - 298780 - 545533*i**2 + 74104 - 22582*i**3 = 0.
-237/7, -2/3
Let w(a) be the second derivative of 2/3*a**3 - 1/15*a**5 + 0*a**4 + 4/3*a**2 + 3*a + 1. Find j such that w(j) = 0.
-1, 2
Let z(w) be the first derivative of w**4/12 - 161*w**3/27 + 53*w**2/9 - 2228. Find f, given that z(f) = 0.
0, 2/3, 53
Let o(a) be the second derivative of a**6/60 - 9*a**5/40 - 7*a**4/8 + 245*a**3/12 + 2*a - 11176. Suppose o(p) = 0. What is p?
-5, 0, 7
Find l such that 8488*l + 16 + 365*l**2 - 508*l**3 - 504*l**4 + 1647*l**2 - 6456*l = 0.
-2, -1, -1/126, 2
Let s(i) = -6*i**4 + 282*i**3 - 4094*i**2 + 16807*i - 28. Let g(y) = -4*y**4 + 188*y**3 - 2730*y**2 + 11205*y - 20. Let d(z) = -7*g(z) + 5*s(z). Factor d(h).
-2*h*(h - 20)**2*(h - 7)
Let f be ((-6510)/231 + 28 - 56/(-66))*80. Find k such that 25/3*k**3 - 5/3*k**5 + 20 + f*k - 5*k**4 + 45*k**2 = 0.
-2, -1, 3
Factor -59/6*i + 1/6*i**2 - 65.
(i - 65)*(i + 6)/6
Suppose 4882 - 4932 = -g. Let w be ((-920)/g - -18)/((-4)/30). Factor 0 + 0*s**4 + 0*s - 2/19*s**5 + 0*s**2 + 2/19*s**w.
-2*s**3*(s - 1)*(s + 1)/19
Let z(v) be the second derivative of 0 + 3/20*v**5 - 269*v - 24*v**2 - 5*v**3 + 7/4*v**4. Factor z(w).
3*(w - 2)*(w + 1)*(w + 8)
Factor 2*b**4 + 204*b**2 + 354*b - 817*b - 64*b**3 + 4*b**4 + 383*b - 66*b**3.
2*b*(b - 20)*(b - 1)*(3*b - 2)
Let c(s) be the third derivative of s**6/360 + s**5/60 + s**4/24 + 31*s**3/6 + 4*s**2 + 3. Let u(m) be the first derivative of c(m). Solve u(t) = 0.
-1
Let f be (1228/2763)/((-1)/(-9)) - (1 - 2). Suppose -3/5*y**f - 33/5*y**3 + 4/5 - 17/5*y**4 - 23/5*y**2 + 0*y = 0. What is y?
-2, -1, 1/3
Suppose 0 = -36*c + 47*c - 9878. Let h = 902 - c. Solve 23/3*n**3 - 7/3*n**h + 0 - 20/3*n**2 + 4/3*n = 0 for n.
0, 2/7, 1, 2
Let x(b) = 288*b**2 - 2240*b + 7. Let q(d) = -41*d**2 - d - 1. Let l(f) = 28*q(f) + 4*x(f). Let l(p) = 0. Calculate p.
0, 2247
Let l(k) be the third derivative of 70*k**2 - 1/21*k**5 + 0*k**4 + 0*k**3 + 0 - k + 1/1470*k**7 + 1/105*k**6. Factor l(b).
b**2*(b - 2)*(b + 10)/7
Let s(p) be the second derivative of -462343*p**5/45 - 45232*p**4/9 - 230*p**3/3 - 4*p**2/9 - 1873*p. Factor s(t).
-4*(7*t + 2)*(257*t + 1)**2/9
Let b be 7*594/154 + -25. Factor -3/2*l**b + 27/2*l - 12.
-3*(l - 8)*(l - 1)/2
Let z(j) be the second derivative of j**8/960 - 17*j**7/2520 - j**6/63 - j**5/70 - 3*j**4 - 86*j. Let g(q) be the third derivative of z(q). Factor g(w).
(w - 3)*(7*w + 2)**2/7
Let y(w) be the third derivative of 0 + w**4 - 152*w**2 + 1/315*w**7 + 0*w - 20/9*w**3 - 17/90*w**5 + 0*w**6. Factor y(p).
2*(p - 2)**2*(p - 1)*(p + 5)/3
Let s(p) = -2*p**2 - 86*p + 1596. Let i be s(-57). Factor i*z + 0 - 8/15*z**2 - 2/15*z**4 + 2/3*z**3.
-2*z**2*(z - 4)*(z - 1)/15
Let u(t) = -1070*t - 8551. Let s be u(-8). Let g(b) be the second derivative of 1/6*b**3 + 0 + 1/24*b**4 + 1/4*b**2 - s*b. Determine n, given that g(n) = 0.
-1
Let v(b) = 2*b**2 - 3*b + 2. Let h be v(2). Suppose 5*n - 38 = -h*p, 2*p + 1 - 23 = -3*n. Suppose 2*d + 5*d**2 + n*d**2 + 4*d - 14*d**2 = 0. What is d?
0, 2
Let p(u) be the third derivative of -3*u**6/40 - u**5/5 + 35*u**4/8 + 6*u**3 + 1048*u**2. Solve p(y) = 0 for y.
-4, -1/3, 3
Factor 0 + 32/3*l**2 + 2/9*l**3 + 128*l.
2*l*(l + 24)**2/9
Let q(l) be the first derivative of l**9/18144 - l**8/10080 - l**7/504 - l**6/270 + 31*l**3/3 + 2*l - 18. Let f(o) be the third derivative of q(o). Factor f(i).
i**2*(i - 4)*(i + 1)*(i + 2)/6
Let 8/3*r - 160/9 + 8/3*r**2 + 2/9*r**3 = 0. What is r?
-10, -4, 2
Let f(l) = 25*l**2 + 507*l - 376. Let d be f(-21). Let 4*y - 4*y**3 + 14 - 96/7*y**d - 2/7*y**4 = 0. What is y?
-7, -1, 1
Let y(f) = f**2 + 27*f + 161. Let u be y(-17). Let k be u*(-12)/648*6*2. Find l such that 0 + 5/3*l + 1/3*l**k = 0.
-5, 0
Let d(n) be the first derivative of 3*n**4/16 + 15*n**3/4 + 225*n**2/8 + 375*n/4 + 517. Suppose d(x) = 0. Calculate x.
-5
Suppose 476*i + 1205*i - 3372 = -10. Factor 2*t - 10/3*t**i + 2/3*t**3 + 6.
2*(t - 3)**2*(t + 1)/3
Let l(g) be the second derivative of -30*g**2 + 5*g**4 