6*v - 4157. Factor c(b).
-(b + 2)**2*(b + 344)
Let l be (-1030)/1245*144/(-64). Let n = l + -30/83. Find c, given that 0*c + 3/2*c**4 - n*c**3 + 0 - 3*c**2 = 0.
-1, 0, 2
Let q = -96 - -101. Suppose d + 3*d - q*p = 15, 2*d - 2*p = 8. Factor -139*n**3 + 8 - 71*n - 148*n**2 + 75*n - d*n**3.
-4*(n + 1)*(4*n + 1)*(9*n - 2)
Suppose 4*n = 5*k - 39, -9*n + 5*n - 25 = -3*k. Factor 9 - j + 5*j**2 + k*j + 3*j + 9*j.
(j + 3)*(5*j + 3)
Let w = 34709/2 - 16971. Let c = w + -382. Factor -1/4*d**5 + 0 - d - 13/4*d**3 - 3*d**2 - c*d**4.
-d*(d + 1)**2*(d + 2)**2/4
Let s = 217532/3 + -72507. Factor 0 + s*q**2 - 2*q.
q*(11*q - 6)/3
Suppose 3 = 2*s + l, -s - 9 = 4*l - 0. Suppose -4*o - 9 = s*g - 19, -5*g = 5*o - 15. Factor i + 1/2 - i**3 - 1/2*i**g.
-(i - 1)*(i + 1)*(2*i + 1)/2
Let z = 183 + -184. Let m be (1/((-3)/15))/z. Solve 12*t**4 + t**2 - 9/2*t**m + 0 + 0*t - 13/2*t**3 = 0.
0, 1/3, 2
Let j(s) be the third derivative of 6*s**7/35 + 1519*s**6/5 + 2310397*s**5/15 + 768614*s**4/3 + 512072*s**3/3 - 8*s**2 - 98. Factor j(q).
4*(q + 506)**2*(3*q + 1)**2
Let m = 370 - 368. Factor 0*r**2 + r**m + 0*r - 8 - 2*r**2 - 9*r.
-(r + 1)*(r + 8)
Let k(i) be the third derivative of i**5/15 - 434*i**4/3 - 1738*i**3/3 - i**2 + i - 2965. Find t, given that k(t) = 0.
-1, 869
Let k(f) be the third derivative of f**6/60 + 34*f**5/5 + 67*f**4/4 - 406*f**3/3 + 11788*f**2. Let k(y) = 0. What is y?
-203, -2, 1
Let y be ((-70)/(-16) - 4) + (-1269)/(-72). Let m be 41/13 + (y/(-13))/9. Factor -4/3*t + 0*t**m + 1/6*t**4 - t**2 - 1/2.
(t - 3)*(t + 1)**3/6
Let c(q) = -2*q - 3. Let g(f) = f**2 + 1428*f + 511222. Let u(m) = -2*c(m) + 2*g(m). Let u(w) = 0. What is w?
-715
Determine j, given that 2/5 - 62*j + 308/5*j**2 = 0.
1/154, 1
Let u = -51 - -55. Determine t so that -9*t**4 - 7*t**4 + 10*t**3 - 5*t**2 - 11*t**u + 22*t**4 = 0.
0, 1
Factor 4 - 5/3*p**2 + 8/3*p - 1/3*p**3.
-(p - 2)*(p + 1)*(p + 6)/3
Factor -2*t + 8 - 3*t**2 + 3*t - 3*t + 10 + 5*t.
-3*(t - 3)*(t + 2)
Let n(t) be the second derivative of 7*t**5/10 + 61*t**4/10 + 37*t**3/15 - 3*t**2 + 2304*t - 1. Let n(f) = 0. Calculate f.
-5, -3/7, 1/5
Let 103/2*j**2 - 207/4 - 52*j**3 + 1/4*j**4 + 52*j = 0. What is j?
-1, 1, 207
Let h(g) be the third derivative of g**6/900 - 19*g**5/150 + 361*g**4/60 + 53*g**3/6 - 80*g**2. Let f(x) be the first derivative of h(x). Solve f(k) = 0 for k.
19
Let f(o) be the third derivative of -11/204*o**4 - 4/17*o**3 - 2*o**2 + 0 + 35*o + 1/510*o**5. Factor f(j).
2*(j - 12)*(j + 1)/17
Let r(n) be the third derivative of -n**6/72 - n**5/6 + 155*n**4/72 + 10*n**3 - 3*n**2 - 5*n - 1. Suppose r(v) = 0. What is v?
-9, -1, 4
Let n(q) = 3*q - 52. Let k be n(9). Let a be -6 + (-1 - k/3). Solve -40*y**3 + 8*y + 4/3 - a*y**2 = 0 for y.
-1/3, -1/5, 1/2
Let r be (-1)/(-2) + 90/20. Suppose -4*f + 0*f = r*y - 19, -3*y - 5*f = -14. Solve -6*q**2 - 484*q**5 + 6*q - y*q + 481*q**5 + 6*q**4 = 0.
-1, 0, 1
Suppose 1389/2*x**2 + 1383/2 - 3/2*x**3 - 2769/2*x = 0. What is x?
1, 461
Let s(q) be the third derivative of -q**6/160 + 21*q**4/8 - 20*q**3 - 2*q**2 + 642*q. Find l, given that s(l) = 0.
-10, 2, 8
Let m(g) be the first derivative of -g**5 + 105*g**4/4 + 770*g**3/3 + 540*g**2 - 2381. Find z, given that m(z) = 0.
-4, -2, 0, 27
Let w be (-126)/(-24)*(756/(-196))/(-9). Determine m, given that 7/4*m**4 + 15/4*m - 7/2*m**3 - 1/4*m**5 - w + 1/2*m**2 = 0.
-1, 1, 3
Let s be ((-8)/23)/(1734/(-6647)). What is b in -s*b**4 + 2/3*b**5 - 2*b**3 + 0*b + 0 + 0*b**2 = 0?
-1, 0, 3
Let a(v) = -64*v**2 - 98*v - 463. Let t(o) = -151*o**2 - 197*o - 927. Let u(b) = 7*a(b) - 3*t(b). Factor u(h).
5*(h - 23)*(h + 4)
Let k(y) = 8*y**2 - 80*y - 33. Let u(w) = -3*w**2 + 27*w + 10. Suppose 28 - 20 = -2*b. Let n(i) = b*k(i) - 11*u(i). Factor n(l).
(l + 1)*(l + 22)
Let n be -1*3*-1*(-5)/(-60). Let t(o) be the second derivative of o**3 + 0 - 8*o - 3/2*o**2 - n*o**4. Factor t(h).
-3*(h - 1)**2
Let r be (-22 - -14)/(4/(-2)). Suppose -5*i = -2*i - 6. Determine s, given that -s**i - s + s**3 + 2*s - s**r - 2*s**3 + 2*s**4 = 0.
-1, 0, 1
Let f(i) be the first derivative of i**4/8 + 41*i**3/3 + 1681*i**2/4 - 2410. Factor f(n).
n*(n + 41)**2/2
Let a(g) be the first derivative of -16*g + 10*g**4 + 30*g**2 + 0*g**5 + 101 - 2/3*g**6 - 80/3*g**3. Factor a(o).
-4*(o - 1)**4*(o + 4)
Let b be (-6 - -3) + 1 + 5 + 0. Suppose -t + 3*t - 9 = -h, b*h = -4*t + 23. Suppose t*i**3 - i**4 - 6*i**3 + 6*i**3 = 0. Calculate i.
0, 2
Let o(w) be the third derivative of -w**7/1470 + w**6/20 - 48*w**5/35 + 1411*w**4/84 - 1445*w**3/14 - 27*w**2 + 3*w - 9. Solve o(f) = 0.
3, 5, 17
Let l(z) be the third derivative of z**6/60 + 423*z**5/10 + 178929*z**4/4 + 25228989*z**3 - z**2 - 1102*z. Solve l(k) = 0.
-423
Factor 20*t**3 + 1300/7*t - 36/7 - 1404/7*t**2.
4*(t - 9)*(t - 1)*(35*t - 1)/7
Let z(s) be the second derivative of 0 + 11*s + 1/420*s**5 + 1/1260*s**6 - 1/42*s**4 - 2*s**3 + 0*s**2. Let g(x) be the second derivative of z(x). Factor g(l).
2*(l - 1)*(l + 2)/7
Let x be 2/9 + 9226/(-126). Let m = x + 76. Factor 0*u**m - 3*u - 9/2*u**2 + 3/2*u**4 + 0.
3*u*(u - 2)*(u + 1)**2/2
Let b be (1 + -2)/5 - 1478/10. Let p = b - -593/4. Factor 4 + p*n**2 + 2*n.
(n + 4)**2/4
Let 45738 - 381/2*d**4 + 3/2*d**5 + 70509/2*d**2 - 86328*d + 11049/2*d**3 = 0. Calculate d.
-7, 1, 66
Let v(a) be the second derivative of -a**4/24 + 19*a**3/12 + 21*a**2/2 + 128*a - 8. Factor v(s).
-(s - 21)*(s + 2)/2
Let z be (-10)/(-15) + 1 + 20/6. Let a(o) be the third derivative of -1/20*o**z + 0*o + 1/9*o**3 - 2*o**2 + 7/72*o**4 + 0. Factor a(m).
-(m - 1)*(9*m + 2)/3
Let i = -286718/33 + 95580/11. Let 2/9*v**4 + i*v**3 - 10/3*v**2 + 34/9*v - 4/3 = 0. What is v?
-6, 1
Factor -274*t**3 + 1095/4*t - 137 + 1/4*t**5 + 1/2*t**2 + 273/2*t**4.
(t - 1)**3*(t + 1)*(t + 548)/4
Let f(a) be the first derivative of 2/5*a**5 - 2/3*a**3 + 0*a - 3/2*a**4 + 2*a**2 + 1/3*a**6 - 39. Suppose f(x) = 0. What is x?
-2, -1, 0, 1
Let p(z) = z**2 + 6*z - 12. Let x be p(-9). What is l in -7*l**4 + x*l**2 - 5*l**5 - 9*l**2 + l**4 + 8*l**5 + 2*l - 5*l = 0?
-1, 0, 1
Let l = -79146 - -554024/7. Let n be (5/2)/(2/4). Solve 0*v**2 + 2/7*v**3 + 0*v - l*v**n + 0*v**4 + 0 = 0 for v.
-1, 0, 1
Let m(x) be the third derivative of x**7/4410 + 13*x**6/1260 - 61*x**4/12 - 6*x**2 - 3*x. Let l(y) be the second derivative of m(y). Factor l(s).
4*s*(s + 13)/7
Suppose 696 = -2*c + 180. Let z = c - -517/2. Solve 81/2 - 9*x + z*x**2 = 0.
9
Solve 460*g**2 - 3*g**5 - 23*g**3 + 101*g**3 - 37303*g**4 + 37377*g**4 + 116*g + 283*g**3 = 0 for g.
-2, -1/3, 0, 29
Let m(l) = -l - 2. Let a be m(-5). Let z = 2593/12865 + -4/2573. Solve -1/5*w**5 + 1/5*w**4 + 0 + 0*w + 1/5*w**a - z*w**2 = 0.
-1, 0, 1
Determine v so that -84*v**2 + 67*v**2 + 5*v**5 + 260*v - 68*v**3 - 223*v**2 - 17*v**3 + 60*v**4 = 0.
-13, -2, 0, 1, 2
Let h = -377548 - -377644. Solve -4/3*f**2 - 1728 - h*f = 0.
-36
Factor -w**2 + 31284*w - 15724*w - 1458 - 15668*w - w**2.
-2*(w + 27)**2
Let z be 81015/11880 - (-28)/(-63). Determine t so that 9/4 + 33/8*t**2 + z*t = 0.
-1, -6/11
Let o(t) be the second derivative of 0*t**2 - 136*t + 0 - 1/15*t**6 + 4/3*t**3 - 3/2*t**4 + 3/5*t**5. Factor o(h).
-2*h*(h - 4)*(h - 1)**2
Let z(h) = -4*h - 6. Let n be z(-2). Let l(s) = 407 - 302 - 3*s - 9*s - 12*s**n. Let f(v) = v**2 + v - 8. Let q(g) = -27*f(g) - 2*l(g). Solve q(i) = 0.
-2, 1
Let t = -26 + 30. Suppose 0 = -3*n - 81 + 90. Factor -n*u**2 - t - 2*u**2 - 4*u + 34 - 21*u.
-5*(u - 1)*(u + 6)
Find x, given that 84*x + 0 + 4030*x**2 - 93 + 5 - 4026*x**2 = 0.
-22, 1
Let v(p) = -p**2 + 3*p + 10. Let z be v(-5). Let g = z + 37. Find m, given that -6 - g*m + m**2 - 4*m + 8*m + 2*m**2 = 0.
-1, 2
Let i be 6*(18/12 - 1). Determine o, given that 3*o**i - 9*o**2 + 497 - 497 = 0.
0, 3
Let x(q) = 7*q**3 - 480*q**2 - 467*q + 12. Let k(i) = -48*i**3 + 3357*i**2 + 3270*i - 81. Let c(p) = 4*k(p) + 27*x(p). Factor c(g).
-3*g*(g - 157)*(g + 1)
Suppose 26*b - 1292 = 3388. Let y be 296/(-6660) - (-1358)/b. Factor -1/2*v - 9/2*v**2 + 0 - y*v**3 - 7/2*v**4.
-v*(v + 1)**2*(7*v + 1)/2
Let k be (-4)/(-16) - 1836/(-16). Factor -g**2 - 3*g**3 + k - 2*g**2 + 4*g**2 - 73 + 11*g**2 + 57*g.
-3*(g - 7)*(g + 1)*(g + 2)
Let g(z) = 7*z - 63. Let r be g(25). Suppose 7*d - r = -21*d. What is k in 4/9*k**5 + 20/3*k**d + 0 + 100/3*k**3 + 500/9*k**2 + 0*k = 0?
-5, 0
Suppose 