2*n - 21682*n. Find h such that 4*h**n + 16/3 + 4/9*h**3 + 80/9*h = 0.
-6, -2, -1
Suppose 4143 = -3*h + 3*u, -22*u + 2750 = -2*h - 17*u. Let m = h + 1389. Factor -2/9*v**m + 0 + 0*v**3 + 14/9*v**2 + 4/3*v.
-2*v*(v - 3)*(v + 1)*(v + 2)/9
Let q be (-4)/2*(7 - 45/6). Let w(l) = -15*l**5 + 15*l**4 + 40*l**3 - 30*l**2 - 35*l + 10. Let z(a) = -a**4 - 2*a. Let j(x) = q*w(x) - 5*z(x). Solve j(k) = 0.
-1, 1/3, 1, 2
Let v(x) be the first derivative of -2*x**3/69 + 5*x**2 + 589. What is j in v(j) = 0?
0, 115
Let x(a) = 9*a**2 - 24*a - 238. Let c be x(-4). Factor -3/2*y**3 + y + 3 - 1/4*y**4 - 9/4*y**c.
-(y - 1)*(y + 2)**2*(y + 3)/4
Suppose -18*z**4 + 15095727*z**5 - 5064*z**2 - 7460*z - 15095728*z**5 + 1556*z + 823*z**3 = 0. What is z?
-41, -1, 0, 12
Let c(v) be the first derivative of v**3/9 - 17*v**2/3 + 11*v - 1580. Find j such that c(j) = 0.
1, 33
Let d(j) be the first derivative of j**4/3 - 92*j**3/3 + 1058*j**2 + 105*j - 17. Let q(b) be the first derivative of d(b). Factor q(c).
4*(c - 23)**2
Let u(c) be the second derivative of c**6/60 - 7*c**5/80 + 3*c**4/16 - 5*c**3/24 + c**2/8 + 962*c. Factor u(b).
(b - 1)**3*(2*b - 1)/4
Let k(v) be the third derivative of 0*v**4 + 1/40*v**5 - 1/140*v**7 + 0*v + 0*v**3 + 0 + 53*v**2 + 1/320*v**6 - 1/896*v**8. Let k(l) = 0. Calculate l.
-4, -1, 0, 1
Let j be 15/55*(-220)/(-75). Determine l so that -2/15*l**4 + j*l**2 + 0*l**3 + 16/15*l + 2/5 = 0.
-1, 3
Suppose -q = -4*o + 289, o = -35*q + 34*q + 66. Suppose 26*w - o = 7. Factor 405/2*k**w - 900*k**2 - 40 + 370*k.
5*(k - 4)*(9*k - 2)**2/2
Let p be (-1 + 3 - 8)*(-6 + (-1216)/(-228)). Factor -p + 6/7*c**3 + 40/7*c**2 - 18/7*c.
2*(c - 1)*(c + 7)*(3*c + 2)/7
Let u = 23 - 13. Suppose 0 = u*p + 7*p - 10*p. Factor -8/5*z - 2/5*z**3 + p + 8/5*z**2.
-2*z*(z - 2)**2/5
Let c(p) be the first derivative of 2*p**7/315 - p**6/90 - 4*p**5/45 + 2*p**4/9 - 9*p**2 + 66. Let x(z) be the second derivative of c(z). Factor x(i).
4*i*(i - 2)*(i - 1)*(i + 2)/3
Suppose 0 = -5*o - i + 16, -2*o - 2*i = -5*o + 20. Let y be o/18 - 5848/(-5031). Factor y - 12/13*k + 2/13*k**2.
2*(k - 3)**2/13
Let z(j) = 448*j - 29448. Let c be z(66). Determine m, given that 838*m**2 + 4 + 961/4*m**4 - c*m + 930*m**3 = 0.
-2, 2/31
Let q(g) be the third derivative of -g**6/80 - 59*g**5/8 + 593*g**4/16 - 297*g**3/4 - 2655*g**2. Suppose q(y) = 0. What is y?
-297, 1
Let x(b) be the third derivative of 5*b**8/84 + 176*b**7/105 - 611*b**6/30 + 46*b**5/3 + 1996*b**2. Find k such that x(k) = 0.
-23, 0, 2/5, 5
Find v such that -4*v**2 - 4*v + 16 - 12*v**4 - 113*v**3 - 118*v**3 + 16*v + 199*v**3 + 2*v**5 + 18*v = 0.
-1, 1, 8
Suppose -7*p + 6*p - h + 29 = 0, -3*p = -2*h - 67. Let z be 2*(p/(-2))/(-5). Factor 16*x**2 - z*x**3 - x**3 + 3*x**3 + 20*x - 9*x**3 - 8.
-4*(x - 2)*(x + 1)*(3*x - 1)
Let v(j) = j**2 - 80*j + 37. Let t(i) = -4*i**2 + 402*i - 202. Let b(w) = 6*t(w) + 28*v(w). Factor b(s).
4*(s - 1)*(s + 44)
Let w(v) be the first derivative of -21*v**4/20 + 5742*v**3/5 - 353502*v**2 + 201720*v + 796. Factor w(b).
-3*(b - 410)**2*(7*b - 2)/5
Let b(n) = 216*n**2 + 423*n - 16. Let i be b(-2). Factor 2/21*p**i - 4/21 - 2/21*p.
2*(p - 2)*(p + 1)/21
Let s(k) = -208*k**2 - 1876*k - 33. Let p be s(-9). Solve 8/5*n**5 - 20*n**2 - 88/5*n - 2*n**p - 16/5 + 26/5*n**4 = 0.
-2, -1, -1/4, 2
Let v(d) be the first derivative of -16/15*d**5 - 11/3*d**4 + 22 - 8/3*d**3 + 0*d**2 + 0*d + 2/9*d**6. Suppose v(b) = 0. What is b?
-1, 0, 6
Factor 4101248/5 + 2/5*u**2 - 5728/5*u.
2*(u - 1432)**2/5
Let z(s) be the third derivative of -s**8/336 + s**7/105 + s**6/15 - 2*s**2 + 467*s. Factor z(w).
-w**3*(w - 4)*(w + 2)
Let p(q) be the first derivative of -1/90*q**5 - 4/9*q**2 - 5/54*q**4 - 17*q + 8 - 8/27*q**3. Let z(l) be the first derivative of p(l). Factor z(g).
-2*(g + 1)*(g + 2)**2/9
Suppose 0 = -6*a + 77 - 23. Let f be 126/567*a/7. Factor 2/7*u**2 + f + 4/7*u.
2*(u + 1)**2/7
Let q(j) be the first derivative of 34*j**3/33 + 158*j**2/11 + 90*j/11 + 13643. Suppose q(u) = 0. What is u?
-9, -5/17
Let v be 4/(-18)*(13 + 1748/(-95)). Factor -9/5*f**3 + 6/5*f**2 + v + 21/5*f.
-3*(f - 2)*(f + 1)*(3*f + 1)/5
Let s(o) = o**3 - 40*o**2 - 166*o - 436. Let p be s(44). Find h, given that 8/3*h + 4/3*h**2 - 1/3*h**5 - 5/3*h**p + 0 - 2*h**3 = 0.
-2, 0, 1
Let r(n) = 3*n**2 - 80*n - 156. Let x(s) = -35*s**2 + 880*s + 1716. Let t(m) = -69*r(m) - 6*x(m). Solve t(f) = 0 for f.
-78, -2
Let m(l) be the first derivative of -4*l**5/5 - 3*l**4 - 8*l**3/3 + 1240. Suppose m(d) = 0. Calculate d.
-2, -1, 0
Suppose 1498*u - 28 = -1494*u + 2978*u. Let w(r) be the second derivative of 0 - 81*r**u - 1/6*r**4 - 32*r + 6*r**3. Factor w(y).
-2*(y - 9)**2
Let s be 247/38 + 2 + (-20)/8. Let t(u) be the third derivative of -21*u**2 - 1/90*u**5 + 1/360*u**s + 0*u**3 + 1/72*u**4 + 0*u + 0. Solve t(q) = 0.
0, 1
Let k = -11773/2 + 5887. Factor 5/6*c**4 + k*c**2 + 0 - 4/3*c**3 + 0*c.
c**2*(c - 1)*(5*c - 3)/6
Suppose b - 513 = 3*z + 456, 0 = -3*b - z + 2897. Let m = 970 - b. Factor 2/3*h**m - 4/3*h**2 + 2/3*h**3 + 0*h + 0.
2*h**2*(h - 1)*(h + 2)/3
Let b be 6/(-84)*7*6 + 6. Let 2*g**2 - 9/4 + 1/4*g**4 - 5/2*g**b + 5/2*g = 0. Calculate g.
-1, 1, 9
Find b, given that 1/2*b**4 + 4*b**3 - 18 + 7/2*b**2 - 18*b = 0.
-6, -3, -1, 2
Let o be ((-114)/(-24) - (11 - 7))*4. Let k(c) be the third derivative of 0 + 1/6*c**4 + 14*c**2 + 1/30*c**5 + 0*c + 0*c**o. Let k(q) = 0. Calculate q.
-2, 0
Let g(h) be the third derivative of h**8/336 + h**7/5 - h**6/40 - 32*h**5/15 - 7*h**4/2 - 537*h**2 - 2. Let g(n) = 0. Calculate n.
-42, -1, 0, 2
Let h = 3623/1589 - 323/227. What is c in 2*c + h*c**2 - 20/7 = 0?
-10/3, 1
Find s, given that 72*s**2 - 169 - 70*s - s**4 + 70*s**3 + 93*s**2 + 9 - 4*s**4 = 0.
-2, -1, 1, 16
Let k be (996/10)/((-1)/(-10)). Suppose -6 = -999*g + k*g. Solve -1/4 - 1/4*d**g - 1/2*d = 0 for d.
-1
Let z(l) be the third derivative of -l**5/80 + 17*l**4/32 - 35*l**3/4 - 127*l**2 - 3*l. Factor z(q).
-3*(q - 10)*(q - 7)/4
Suppose 0 = x + 3, -4*j + x + 43 = -0*j. Factor -20*q**5 - 156*q**3 - 59*q + 11*q + j*q**5 - 66*q**4 - 152*q**2.
-2*q*(q + 2)**3*(5*q + 3)
Let v = 17943 + -17938. Suppose -4*c + 19 = 7. Factor -2/5*p**2 + 0 - 2/5*p**c + 2/5*p**4 + 0*p + 2/5*p**v.
2*p**2*(p - 1)*(p + 1)**2/5
Let d(t) = -892*t**3 - 3580*t**2 - 3600*t - 28. Let p(j) = j**3 + 2*j**2 - 3. Let a(r) = -d(r) + 4*p(r). Factor a(y).
4*(y + 2)**2*(224*y + 1)
Factor -155/3 + 1/6*h**2 + 19/2*h.
(h - 5)*(h + 62)/6
Let o(x) = x**3 + x**2 + x + 6. Let k be o(0). Suppose -97 + 52 + 51 = 3*i. Factor -k*y**2 + y**2 + 24*y - y**i - 72 + 4*y**2.
-2*(y - 6)**2
Determine y, given that -306*y - 166 - 159 + 492*y**2 + 488*y**3 - 666*y - 157 + 474 = 0.
-2, -1/122, 1
Find j such that -374 - 28*j + 52*j + 16*j + 26*j + 12*j**2 + 116*j = 0.
-17, 11/6
Let n(b) = 13*b + 296. Let f be n(-25). Let x(j) = -2*j**2 - 65*j - 200. Let c be x(f). Factor 4/3 + 20/3*w + c*w**2.
(w + 2)*(9*w + 2)/3
Suppose -22*j**2 + 297*j**3 - 24*j**5 - 156*j**3 + 4*j**2 + 27*j**4 = 0. Calculate j.
-2, 0, 1/8, 3
Suppose -57*u + 45*u + 60 = 0. Suppose -p = 4*i - 7, -8*i - u*p + 3 = -4*i. Determine l so that -4/5*l**3 + 4/5*l + 0 + 4/5*l**4 - 4/5*l**i = 0.
-1, 0, 1
Let x(p) = -2*p**2 + 8*p - 18. Let l(q) = 5*q**2 - 22*q + 55. Suppose -3*a + 54 = 6*a. Let v(h) = a*l(h) + 17*x(h). Factor v(j).
-4*(j - 3)*(j + 2)
Let b(r) = 18*r**2 + 126*r - 390. Let v(l) = 3*l**2 + 3. Let w(o) = -b(o) + 5*v(o). Suppose w(k) = 0. Calculate k.
-45, 3
Let n(t) be the third derivative of -t**6/720 - t**5/120 + t**4/36 - 140*t**2 + 3*t. Factor n(l).
-l*(l - 1)*(l + 4)/6
Let z be 3/(-2) - 18340/(-12280). Let b = 1242/2149 + z. Let 0 - 8/7*t**3 + 16/7*t**4 - b*t**5 - 16/7*t**2 + 12/7*t = 0. What is t?
-1, 0, 1, 3
Let i(x) = 3*x - 37. Let r be i(14). Let t = -1340 - -1342. Solve 0*q**2 - t*q**3 + 2*q**4 + 0 - 1/2*q**r + 0*q = 0 for q.
0, 2
Let q = -2/2605 + 356917/41680. Let b = q - 927/112. Factor 26/7*w - 12/7 + b*w**3 - 16/7*w**2.
2*(w - 6)*(w - 1)**2/7
Let v(r) = -2*r**2 - 32*r - 42. Let x be v(-15). Let k(z) = -z - 10. Let w be k(x). Find i such that 4/15*i**3 + 4/15 - 2/3*i + 2/15*i**w = 0.
-2, 1/2, 1
Let y = -18783 + 244181/13. Find c, given that 16*c + y*c**2 + 416 = 0.
-52
Let s = 2/5193 + 5129/166176. Let k(v) be the first derivative of s*v**4 - 1/4*v + 11 - 1/6*v**3 + 5/16*v**2. Dete