+ -7 + 15/(-108). Let n(t) be the third derivative of -6*t**2 - z*t**4 - 1/270*t**5 + 0 - 4/3*t**3 + 0*t. Factor n(x).
-2*(x + 6)**2/9
Suppose 477 = 129*f - 1294 - 293. Let k(d) be the first derivative of 1/13*d**2 + f + 0*d - 2/39*d**3. Let k(s) = 0. What is s?
0, 1
Let l(n) be the first derivative of -4*n**6/15 + 146*n**5/25 + 111*n**4/5 + 376*n**3/15 + 22*n**2/5 - 42*n/5 + 1706. Solve l(d) = 0 for d.
-1, 1/4, 21
Suppose 4*t - 3*c = 92, 2*t + 4*c - 46 = -0*c. Suppose 4*q - 9 = t. Factor -11*g**2 - q + 8*g**2 + 26 + 3*g.
-3*(g - 3)*(g + 2)
Let b = 695737 + -7653101/11. Find c, given that -10/11*c**2 - 8/11*c + 4/11*c**3 + b = 0.
-1, 1/2, 3
Let i be (-6)/(-4)*(60 - 58). Let j(h) be the third derivative of 0*h**4 + 0*h**i + 7*h**2 - 1/70*h**7 + 3/40*h**6 + 0*h - 1/10*h**5 + 0. Factor j(g).
-3*g**2*(g - 2)*(g - 1)
Let u be (-3536)/(-2210)*(((-9)/(-36) - (-230)/8) + 1). What is f in -u + 80/3*f - 4/3*f**2 = 0?
2, 18
Factor -14/3*c**2 + 2/9*c**4 + 8/9*c + 56/9 + 8/9*c**3.
2*(c - 2)**2*(c + 1)*(c + 7)/9
Let a(v) be the second derivative of 1/21*v**7 - 13/10*v**5 + 26*v + 0*v**4 + 4/5*v**6 + 0*v**3 + 0 + 0*v**2. Suppose a(b) = 0. What is b?
-13, 0, 1
Suppose -12*j + 42 = 2*j. Factor 15*m**2 + 18*m - 3*m**j - 40*m - 22*m**3 + 32*m.
-5*m*(m - 1)*(5*m + 2)
Let q(k) be the first derivative of -1085/9*k**2 - 1/18*k**4 - 4900/9*k + 136/27*k**3 - 223. Suppose q(w) = 0. Calculate w.
-2, 35
Suppose 2*j + 2165 = -0*j + 3*b, 3*b + 5360 = -5*j. Let o = -1073 - j. Factor 88/13*c - 8/13 - 322/13*c**o + 392/13*c**3.
2*(4*c - 1)*(7*c - 2)**2/13
Let w(i) = -2*i**5 + 15*i**4 + 55*i**3 + 5*i**2 - 73*i - 2. Let d(k) = k**5 - k**3 - k**2 + k + 2. Let c(g) = -d(g) - w(g). Factor c(v).
v*(v - 18)*(v - 1)*(v + 2)**2
Let m(v) = 9*v**2 + 4*v + 1. Let z(b) = -4*b - 62*b**2 + 7*b + 71*b**2. Let p be 3 - (8 - (-1 + -1)). Let c(q) = p*z(q) + 6*m(q). Factor c(a).
-3*(a - 1)*(3*a + 2)
Let s = -83/12 + 29/4. Let b(y) = 25*y**2 + 1745*y - 350. Let o be b(-70). Let s*g**2 - 4/3*g + o = 0. What is g?
0, 4
Let o be -21 + 41 - (936/65 - -2). Factor 1/5*c**2 - o*c - 19/5.
(c - 19)*(c + 1)/5
Factor -8/5*j**2 - 19/5*j + 1/5*j**3 - 2.
(j - 10)*(j + 1)**2/5
Suppose 305319*b**4 + 343*b**5 + 149384*b**2 + 348656*b**3 + 2032 + 199152/7*b = 0. What is b?
-889, -2/7
Let c be (-461 - -485)/((-116)/(-40) + -2). What is r in 352/3*r**3 + 0*r + 0 + c*r**2 - 16/3*r**5 + 124/3*r**4 = 0?
-2, -1/4, 0, 10
Solve -1/9*o**2 - 4*o + 0 = 0 for o.
-36, 0
Let y be 6/(-12)*(-7 + 4)*10. Find d such that -19 + 32*d**2 - y*d**2 + 3*d**3 - 39*d - 17*d**2 + 55 = 0.
-4, 1, 3
Let g(o) be the second derivative of -o**4/3 - 74*o**3/3 - 140*o**2 - 12*o + 43. Solve g(q) = 0 for q.
-35, -2
Let c(o) be the first derivative of o**4/2 - 228*o**3 - 1380*o**2 - 2768*o - 5366. Let c(z) = 0. Calculate z.
-2, 346
Let b(d) = 75*d**2 + 73*d + 2. Let a be b(-1). Let c(l) be the second derivative of 0*l**3 + 0 - a*l - 1/2*l**2 + 1/12*l**4. What is r in c(r) = 0?
-1, 1
Let w(x) = 8*x**3 - 23*x**2 + 67*x - 37. Let j(t) = t - 26. Let y be j(23). Let f(n) = -5*n**3 + 11*n**2 - 34*n + 19. Let z(i) = y*w(i) - 5*f(i). Factor z(q).
(q - 1)**2*(q + 16)
Let q = -1013878 + 1013880. Factor 1/4*x**q - 9*x + 17.
(x - 34)*(x - 2)/4
Let 4*t**2 + 112 - 668*t + 8 + 616*t = 0. Calculate t.
3, 10
Let t(v) be the second derivative of -2*v**7/7 + 146*v**6/15 + 944*v**5/15 - 532*v**4/9 - 1600*v**3/9 + 896*v**2/3 - 6221*v. Suppose t(l) = 0. What is l?
-4, -1, 2/3, 28
Let i = 200/11253 + 302231/90024. Find j such that 0 + 3/4*j**2 + 0*j + 3/2*j**4 + i*j**3 = 0.
-2, -1/4, 0
Let z(q) be the second derivative of 0*q**3 - 5/12*q**4 + 0 - 12*q + 7/12*q**5 + 7/2*q**2. Let u(y) be the first derivative of z(y). Factor u(k).
5*k*(7*k - 2)
Let z(k) be the second derivative of k**4/12 - 7*k**3/2 - 65*k**2 - 1719*k. Find t, given that z(t) = 0.
-5, 26
Factor 1710/7*g - 3/7*g**2 - 243675/7.
-3*(g - 285)**2/7
Let s = 503/553 - 424/553. Let s*h**2 - 6/7*h + 0 = 0. Calculate h.
0, 6
Solve 5*h**4 + 6*h**4 + 29*h - 22*h - 15*h**4 + 97*h + 112*h**3 - 212*h**2 = 0.
0, 1, 26
Let i = 8363 + -8327. Let n(d) be the third derivative of -i*d**2 + 0*d**3 + 0 + 0*d - 1/8*d**6 - 1/2*d**4 - 2/5*d**5 - 1/70*d**7. Factor n(u).
-3*u*(u + 1)*(u + 2)**2
Let b(w) = -w**2 - 2. Let g be 1 - (-32 - 5/(-1)). Let c(m) = 6*m**2 + 2*m + 14. Let y(h) = g*b(h) + 4*c(h). Determine f, given that y(f) = 0.
0, 2
Let y(j) = -2*j**4 + 14*j**3 + 2*j**2 - 2*j - 4. Let u(b) = -2*b**4 + 16*b**3 + 2*b**2 - b - 5. Let m = -245 + 249. Let f(q) = m*u(q) - 5*y(q). Solve f(k) = 0.
-1, 0, 1, 3
Suppose 2*t - 13 + 45 = 0, -6*s - 10*t = -9*t - 2. Factor 0 - 3/4*w**2 - s*w.
-3*w*(w + 4)/4
Factor 96*y - 4*y**2 + 270*y - 1584 + 174*y.
-4*(y - 132)*(y - 3)
Let z = -2183 - -2200. Suppose -z*k + 120 = 23*k. Solve 1/6*g + 1/2*g**k + 1/2*g**2 + 0 + 1/6*g**4 = 0 for g.
-1, 0
Factor 138 - 15*u**2 + 38166*u + 31*u**2 - 37979*u - 2*u**3 + 34*u**2 + 3*u**3.
(u + 1)*(u + 3)*(u + 46)
Let f be (1 + -2)/(1/(-2)). Let j be (-752)/14 + 1019 + -965. Suppose -j*a - 2/7 + 2/7*a**f + 2/7*a**3 = 0. Calculate a.
-1, 1
Let l(x) = -x**2 + 41*x - 249. Let f be l(10). Let i = f - 58. Suppose 0*m**2 + 0 + 0*m - 6/17*m**4 - 2/17*m**5 - 4/17*m**i = 0. Calculate m.
-2, -1, 0
Let a(j) be the second derivative of 5*j**7/42 - 83*j**6/6 - 85*j**5/2 - 5*j**4/6 + 845*j**3/6 + 425*j**2/2 - 2*j + 155. Determine g so that a(g) = 0.
-1, 1, 85
Let t = -1/15489 + 20659/108423. Let o(g) be the first derivative of -36 - 1/21*g**6 + t*g**3 - 4/35*g**5 + 1/7*g**2 + 0*g + 0*g**4. Let o(h) = 0. Calculate h.
-1, 0, 1
Suppose j - 2*j = 43. Let u = -40 - j. Let -33*v**2 + 36*v - 2*v**4 - 53 - 6*v**u + 9*v**4 - 4*v**4 + 161 = 0. What is v?
-2, 3
Let l(z) be the third derivative of 0*z + 0*z**3 + 94*z**2 + 0 - 7/360*z**6 + 0*z**4 + 1/630*z**7 + 1/30*z**5. Find g, given that l(g) = 0.
0, 1, 6
Let q(x) be the first derivative of x**4/16 - 185*x**3/12 + 8463*x**2/8 + 8649*x/4 + 96. Determine d, given that q(d) = 0.
-1, 93
Let d = -474 + 496. Suppose 184*w = 173*w + d. Solve -4/3 - 77/3*v**w + 49/3*v**3 + 32/3*v = 0.
2/7, 1
Let g be (9 - (-57)/(-6))*(-12)/1. Let 0*p**3 - 102*p + 6*p**4 - g*p**2 + 2*p**5 + 98*p + 2*p**3 = 0. Calculate p.
-2, -1, 0, 1
Factor 646*b**4 + 41*b**2 + 43*b**2 - 314*b**4 + 200*b**3 - 327*b**4 + 111*b**2.
5*b**2*(b + 1)*(b + 39)
Let d(x) be the first derivative of x**4/8 - 131*x**3/3 + 1035*x**2/4 - 387*x - 10700. Suppose d(v) = 0. Calculate v.
1, 3, 258
Let l = 27469/7640 - -7/1528. Let 1/5*m**2 + l*m + 17/5 = 0. Calculate m.
-17, -1
Let l be (-48)/168 + 62/21. Let i(j) be the first derivative of 2/3*j + 2*j**2 + 4/3*j**4 - 13 + l*j**3. Factor i(o).
2*(2*o + 1)**3/3
Let 4551*y**3 + 3*y**4 - 246*y + 0*y**4 + 177*y**2 - 4611*y**3 + 66*y**2 - 24*y = 0. What is y?
0, 2, 3, 15
Determine c, given that 2*c - 604*c**3 - 22*c**3 + 3*c**4 - 2*c - 445*c**3 - 1074*c**2 = 0.
-1, 0, 358
Let l(j) be the first derivative of 2*j**5/5 + 25*j**4 + 382*j**3 + 1616*j**2 - 4480*j + 251. Determine p, given that l(p) = 0.
-35, -8, 1
Solve 8155/3*w - 80/3*w**2 + 170 = 0.
-1/16, 102
Find d, given that -6*d**2 + 18*d**2 + 1382*d - 39*d**2 - 1418*d - 21*d**2 - 9*d**3 + 3*d**4 = 0.
-2, -1, 0, 6
Let t(a) be the third derivative of 0 - 7/15*a**5 - 2744*a**3 - 1/540*a**6 + 69*a**2 + 0*a - 49*a**4. Factor t(d).
-2*(d + 42)**3/9
Suppose 5*w = -20, -9 = -4*t - 4*w + 39. Suppose 0 = 17*z - t*z - 5. Determine s so that -22*s**3 + 5*s + 32*s**3 - 3*s**z - 20*s**3 + 8*s**5 = 0.
-1, 0, 1
Let p(a) be the first derivative of -13/21*a**2 - 2/63*a**3 - 138 - 44/21*a. Let p(o) = 0. Calculate o.
-11, -2
Let j(b) be the first derivative of 119 - 12/5*b**5 + 20*b**4 + 96*b**2 - 64*b**3 - 64*b. Find u, given that j(u) = 0.
2/3, 2
Let p(z) = 4 - 11 + 4*z**2 + 4 - 14 - 22*z. Let f(a) = a**2 - 5*a - 4. Let t(u) = 18*f(u) - 4*p(u). Factor t(b).
2*(b - 2)*(b + 1)
What is m in -969*m**2 - 135*m**3 - 226*m**3 - 4*m - 27 + 337*m = 0?
-3, 3/19
Suppose 69 = 519*r - 496*r. Let h(n) be the third derivative of -n**2 + 45/8*n**4 + 1/24*n**6 + 3/4*n**5 + 0*n + 45/2*n**r + 0. Determine a so that h(a) = 0.
-3
Let z = 59/6 + -19/3. Suppose -25*i = 5*j - 28*i - 10, j = -2*i + 2. Factor -3/2 + z*p - p**j.
-(p - 3)*(2*p - 1)/2
Let v(f) = 21*f**2 - 2122*f + 316. Let h(r) = -106*r**2 + 10608*r - 1592. Let x(n) = -3*h(n) - 14