*t**2 - 519*t - t**5 + 63*t**4 + 1239*t**2 + 3191*t**2 = 0.
-3, 4, 29
Let u be 0/(((99/198)/(4/8))/((-2)/10)). Solve u - 84*l**3 - 112/3*l + 10/3*l**5 - 26/3*l**4 - 376/3*l**2 = 0 for l.
-2, -2/5, 0, 7
Let u(h) be the second derivative of -h**6/40 + 249*h**5/80 - 1593*h**4/16 - 5375*h**3/8 - 5547*h**2/4 + 1436*h. Solve u(b) = 0.
-2, -1, 43
Suppose -10*n = -6*n - 8. Let o be n - (-1 - -1)/3. Find z such that 21*z**4 + z**3 - o*z - 18*z**4 + 3*z - 3*z**2 - 2*z**5 = 0.
-1, 0, 1/2, 1
Let y(j) = -3*j**3 - 85*j**2 - 190*j - 206. Let l be y(-26). Factor 2/11 + 2/11*t**l - 4/11*t.
2*(t - 1)**2/11
Let q(x) be the third derivative of 0 + 1/280*x**6 + 8*x**2 + 0*x**4 - 1/5*x**5 + 0*x**3 + x. Factor q(j).
3*j**2*(j - 28)/7
Let k(n) be the third derivative of -n**7/1470 + n**6/42 + n**5/60 - 67*n**4/84 - 20*n**3/7 + n**2 + 1532*n. Find d such that k(d) = 0.
-2, -1, 3, 20
Let v(q) be the first derivative of 7 - 4*q + 4/5*q**2 + 1/15*q**3. Factor v(n).
(n - 2)*(n + 10)/5
Determine z so that 0 - 1/5*z**2 + 563/5*z = 0.
0, 563
Let y = -6957 + 62615/9. Let a(h) be the first derivative of -14 + y*h**3 + 1/3*h**2 + 0*h. Factor a(x).
2*x*(x + 1)/3
Suppose -5*k - 144*l + 15 = -139*l, 2*k - 5*l + 15 = 0. Let g(q) be the third derivative of 0 + k*q - 2/3*q**3 - 1/240*q**5 - 17*q**2 - 1/12*q**4. Factor g(r).
-(r + 4)**2/4
What is w in 0*w**3 - 4/7*w**2 + 0*w + 2/7 + 2/7*w**4 = 0?
-1, 1
Factor -13912*x + 33*x**2 - 496 + 5*x**3 + 14240*x - 104*x**2.
(x - 4)**2*(5*x - 31)
Let l = -66294 + 66312. Factor -3*i**3 + 30*i - 21/2*i**2 - l + 3/2*i**4.
3*(i - 2)**2*(i - 1)*(i + 3)/2
Suppose 0 = 8*w + 6*w - 840. Factor -w*h + 30*h**3 + 26*h - 9*h**4 - 3*h**2 + 16*h.
-3*h*(h - 3)*(h - 1)*(3*h + 2)
Let q be ((-4)/30)/((-130)/585). Let s(v) be the first derivative of -3/20*v**4 + 0*v + 1/5*v**3 + 4 + q*v**2. Factor s(g).
-3*g*(g - 2)*(g + 1)/5
Let c = -276606 - -276609. Let 2/3*a**2 - 4/21*a**c + 0 - 2/21*a**4 - 8/21*a = 0. Calculate a.
-4, 0, 1
Let l = 223 - 220. Determine n so that 207*n**2 - 2*n**3 - n**l - 127*n**2 - 9*n**3 + 28*n = 0.
-1/3, 0, 7
Suppose 83 - 171 = -32*o - 88. Determine u, given that -1/5*u**5 - 6/5*u**3 + 0 + 0*u + o*u**2 - u**4 = 0.
-3, -2, 0
Let 1906*r**2 - 2592 + 2270*r**2 + 3689*r**4 - 10800*r - 3803*r**4 + 1272*r**3 - 27*r**5 = 0. What is r?
-6, -2/9, 2, 6
Let h = 1060161/4 + -265038. Factor -3/2 - 3/4*u**2 - h*u.
-3*(u + 1)*(u + 2)/4
Suppose 65 = -6*o + 23. Let f(x) = -19*x + 30. Let z be f(o). Factor -8*b**3 + 48*b - 55 + 167*b**4 - 44*b**2 + 199 - z*b**4.
4*(b - 3)**2*(b + 2)**2
Let o be 552/184 - (1 + 982/(-297)). Let m = o + -104/27. Suppose -6/11*q**2 - 20/11*q + m = 0. What is q?
-4, 2/3
Let s(n) = -11*n**3 + 44*n**2 - 231*n - 734. Let p(h) = -75*h**3 + 312*h**2 - 1617*h - 5136. Let m(x) = 4*p(x) - 27*s(x). Suppose m(b) = 0. Calculate b.
-2, 11
Let -1/6*o**2 + 409*o - 501843/2 = 0. Calculate o.
1227
Let q be ((-4)/(-10) + 0)/((-169)/2535) + 10. Let -160/3*a**3 - 32/3 + 224/3*a + 238/3*a**q - 368/3*a**2 + 98/3*a**5 = 0. What is a?
-2, 2/7, 1
Let v(w) = -9*w**2 - 58*w - 11. Let d(s) = -1 + 5 - 20*s**2 + 43*s**2 + 20*s - 20*s**2. Let x(z) = -11*d(z) - 4*v(z). Let x(r) = 0. Calculate r.
-4, 0
Let w = -477 + 497. Suppose 20*x + w = 25*x, -4*a + 24 = 4*x. Suppose 0*j**a - 3*j**4 + 0*j + 3/4*j**3 + 9/4*j**5 + 0 = 0. What is j?
0, 1/3, 1
Factor -36*k + 12*k**2 + 0 - 3/4*k**3.
-3*k*(k - 12)*(k - 4)/4
Suppose -21*v + 672 = 21*v. Let r(o) be the first derivative of -8/11*o**2 + 8/11*o - 2/33*o**3 - 6/55*o**5 + v + 4/11*o**4. Suppose r(d) = 0. Calculate d.
-1, 2/3, 1, 2
Let t(i) be the second derivative of i**6/105 - 103*i**5/35 + 205*i**4/42 + 4443*i. Determine w, given that t(w) = 0.
0, 1, 205
Let h(j) be the first derivative of -j**4/4 + 14*j**3/3 + 17*j**2/2 - 30*j + 1071. Determine g so that h(g) = 0.
-2, 1, 15
Suppose 0*m - l - 34 = -4*m, 5*l = 10. Suppose 0 = -3*d, 2*y - 5*d = -y + m. Factor -8*u**2 + 4*u**y - 2*u**2 - 2*u**2 - 36*u - 9 - 11.
4*(u - 5)*(u + 1)**2
Suppose x - 10056*t - 14 = -10057*t, 0 = -3*t + 33. Suppose 9/2*z**x - 3/2*z + 6*z**2 - 3 = 0. What is z?
-1, 2/3
Suppose 3280 - 827*a + 505*a + 621*a**2 + 1162*a - 616*a**2 = 0. What is a?
-164, -4
Let s(z) be the second derivative of 3*z**5/140 - 61*z**4/28 + 59*z**3/7 + 59*z + 28. Factor s(u).
3*u*(u - 59)*(u - 2)/7
Let k be (-6 - -407)*3/(-6). Let m = k - -2823/14. Factor -m - 10/7*l - 2/7*l**2.
-2*(l + 1)*(l + 4)/7
Suppose 30 = 3*g + 901*r - 896*r, -r + 6 = -g. Factor -1/2*x**3 + 9/2*x**2 + g - 4*x.
-x*(x - 8)*(x - 1)/2
Let f(m) be the first derivative of m**9/1008 + m**8/560 - m**7/56 + m**6/40 + 76*m**3/3 + 143. Let p(c) be the third derivative of f(c). Factor p(j).
3*j**2*(j - 1)**2*(j + 3)
Let v(i) be the third derivative of -i**5/20 - 49*i**4/8 - 24*i**3 + 64*i**2 - 5. Factor v(c).
-3*(c + 1)*(c + 48)
Let j(u) be the third derivative of -7/8*u**3 + 3/16*u**4 - 2*u**2 - 1 + 1/80*u**5 + 0*u. Determine r, given that j(r) = 0.
-7, 1
Suppose 22 = 8*z - 74. Suppose z = 4*n - 2*h - 0*h, h = -n. Determine t so that 0 - 1/2*t**n + 0*t = 0.
0
Let a = -107 + 110. Suppose -5*o + 4*o + 100 = 5*k, 0 = 4*o. Factor a*j**3 + 4*j**3 + k*j**2 - j**3 - 2*j**3.
4*j**2*(j + 5)
Determine d, given that 58*d**4 + 0*d - 6*d**5 + 230*d**2 + 12366 - 12414 - 190*d**3 - 44*d = 0.
-1/3, 1, 2, 3, 4
Let r = 13051/4820 - -1256/1205. Factor 3/4*z**4 - r*z**2 - 9/2*z + 3/2*z**3 + 0.
3*z*(z - 2)*(z + 1)*(z + 3)/4
Let x be (-30)/(-21)*(354/12 + -26). What is z in 0 - 104/11*z**2 - 294/11*z**x + 266/11*z**4 + 16/11*z + 116/11*z**3 = 0?
-2/3, 0, 2/7, 1
Let x = 68 - 60. Let d(c) = 0 + c**3 + 1 - x*c + 7*c - 2*c**2 + 3*c**2. Let f(o) = o**3 - 5*o**2 - 13*o - 3. Let z(k) = -4*d(k) + 2*f(k). Factor z(v).
-2*(v + 1)**2*(v + 5)
Suppose 400 = m + 398. Let i be 1/2 - 3*(-3)/(-18). Find w such that 0*w + 2/5*w**m + 1/5*w**4 + i - 3/5*w**3 = 0.
0, 1, 2
Let b(d) be the first derivative of -d**6/900 + 3*d**5/25 - 27*d**4/5 + d**3/3 + 21*d**2/2 + 84. Let j(g) be the third derivative of b(g). Factor j(l).
-2*(l - 18)**2/5
Let w(f) be the first derivative of 2*f**3/51 - 882*f**2/17 + 388962*f/17 + 1518. Solve w(a) = 0 for a.
441
Suppose -59*i + 19*i = 105*i - 580. Let u(o) be the first derivative of o**6 + 8 + 0*o**2 + 5/2*o**i + 0*o + 14/5*o**5 + 2/3*o**3. Solve u(w) = 0.
-1, -1/3, 0
Let p(t) be the third derivative of -t**7/2940 + t**6/1260 + t**5/210 - 13*t**3/6 + 19*t**2 + 2*t. Let o(b) be the first derivative of p(b). Factor o(k).
-2*k*(k - 2)*(k + 1)/7
Let f(s) = -2*s**2 + 11*s - 3*s + s + 15*s + 95 + 3*s**2. Let y be f(-19). Let 0*j + 1/3*j**5 - 2/3*j**2 + 5/3*j**3 + y - 4/3*j**4 = 0. What is j?
0, 1, 2
Suppose 164*y - 95 + 20 = 139*y. Let f(t) be the first derivative of 12 + 84*t**y - 735/4*t**4 - 6*t**2 + 0*t. Factor f(v).
-3*v*(7*v - 2)*(35*v - 2)
Suppose 3*w + 242 = 8*l, 381*l - 389*l = -5*w - 286. Factor 2/3*v**2 + 16/3*v - l.
2*(v - 3)*(v + 11)/3
Let j be ((-5)/(-1) - 10/5)*(-10)/(-12). Determine t so that 1/4*t**2 + 3/4*t - j = 0.
-5, 2
Suppose -2*k - 3 = -k + 2*z, -4 = z. Suppose -4*p + r = -153, -185 = -k*p + 3*r - 8*r. What is q in -35*q**4 - 12*q + p*q**4 + 0*q + 12*q**3 + 6*q**2 - 9 = 0?
-3, -1, 1
Let s be (1527 + 56)*(-2)/((-6)/3). Let k = s - 1580. Suppose 0 + 12/13*y**k + 2/13*y + 8/13*y**4 + 8/13*y**2 + 2/13*y**5 = 0. What is y?
-1, 0
Let b(p) be the third derivative of p**7/70 + 103*p**6/5 + 42022*p**5/5 - 85284*p**4 + 342792*p**3 - 1837*p**2. Find n, given that b(n) = 0.
-414, 2
Let q(a) be the third derivative of -a**5/40 + 61*a**4/16 - 255*a**3/2 - 9*a**2 + 27. Factor q(f).
-3*(f - 51)*(f - 10)/2
Let c(d) = 129*d**3 - 192*d**2 + 60*d + 24. Let p = 54 + -19. Let z(l) = 41 - p - 48*l**2 + 15*l - 4*l**3 + 36*l**3. Let a(t) = 5*c(t) - 21*z(t). Factor a(w).
-3*(w - 1)**2*(9*w + 2)
Suppose 200 + 25 = 25*f. Let z be (6 - 9)*(-6)/f. Find q, given that -1/7*q**z + 0 + q = 0.
0, 7
Let l(r) be the third derivative of -75*r**8/56 - 23*r**7 + 839*r**6/15 - 382*r**5/15 + 4*r**4 + 49*r**2 - 7*r. Suppose l(g) = 0. What is g?
-12, 0, 2/15, 1
Let j = 426 + -424. Let a(t) be the third derivative of 0*t + 0 + 1/1890*t**7 - 2*t**j + 0*t**3 + 1/216*t**6 + 7/540*t**5 + 1/72*t**4. Factor a(o).
o*(o + 1)**2*(o + 3)/9
Let q(p) be the first derivative of 3*p**5/10 + 189*p**4/8 + 1425*p**3/2 + 40071*p**2/4 + 61731*p + 229. Solve q(s) =