218 + -445679640595/4348. Let u = w + -2/1087. Find x such that 1/4*x**2 + x + u = 0.
-3, -1
Let o = -68 + 45. Let d be (o - -19)/(4/(-6)). Find x such that -4*x**3 + x**3 - 50*x**2 + d*x**3 - 8*x**3 - 40 - 85*x = 0.
-8, -1
Let g(u) be the first derivative of -3/20*u**4 - 256 - 12/5*u**2 - 6/5*u**3 + 0*u. Find j, given that g(j) = 0.
-4, -2, 0
Let g(h) = -5*h**3 - 21*h**2 + 44*h. Let t(o) = 52*o**3 + 232*o**2 - 484*o + 8. Let y(w) = -32*g(w) - 3*t(w). Factor y(k).
4*(k - 3)*(k - 2)*(k - 1)
Let a be (1 + (-71)/(-3))*(-18)/(-12). Let -277*q**3 - a*q + 286*q**3 + 5*q**2 - 43*q**2 + 10 = 0. Calculate q.
-1, 2/9, 5
Let n(o) be the first derivative of -12*o**5/5 + 62*o**4 - 388*o**3 + 296*o**2 + 336*o + 1133. Find r such that n(r) = 0.
-1/3, 1, 6, 14
Determine j so that 189*j + 1/5*j**5 + 206/5*j**3 - 736/5*j**2 - 392/5 - 24/5*j**4 = 0.
1, 7, 8
Let f be (-1 - 16/(-10))*-435*(-175)/54810. Factor -f*j + 23/6*j**3 + 11/6*j**2 + 1/3*j**5 + 13/6*j**4 - 2/3.
(j + 1)**3*(j + 4)*(2*j - 1)/6
Determine u, given that 0*u - 4/5*u**4 + 16/5*u**2 + 38/15*u**3 + 0 - 2/15*u**5 = 0.
-8, -1, 0, 3
Suppose 4320*d - 4319*d = -j + 10, -3*d - 2*j = -22. Factor 18/5*u**4 + 0 - 2/5*u**5 - 54/5*u**3 + 54/5*u**d + 0*u.
-2*u**2*(u - 3)**3/5
Let w(m) be the first derivative of -2*m**5/15 + 88*m**4/3 + 118*m**3/3 + 2833. What is h in w(h) = 0?
-1, 0, 177
Factor -14*s + 75*s + 409 - 7*s + 136*s + s**2 + 220*s.
(s + 1)*(s + 409)
Let c = -1173771/4 - -293444. Let c*u**3 + 1/2*u**2 - 2*u + 0 + 1/4*u**4 = 0. Calculate u.
-4, -2, 0, 1
Let n(z) be the first derivative of -5*z**4/4 + 35*z**3 - 180*z**2 - 2160*z - 545. Factor n(h).
-5*(h - 12)**2*(h + 3)
Let o(w) be the second derivative of w**4/30 - 262*w**3/15 + 261*w**2/5 - 1144*w. Determine j, given that o(j) = 0.
1, 261
Suppose -139390/3*g + 138338/3 - 2/3*g**3 + 1054/3*g**2 = 0. What is g?
1, 263
Let d be (11/(-759))/(5 + (-100)/12). Let l(o) be the second derivative of 0*o**2 - 25*o + d*o**5 - 2/69*o**3 + 0 + 1/138*o**4. Factor l(x).
2*x*(x - 1)*(x + 2)/23
Let l = 278 + -259. Factor 21*t**2 - 665*t**3 - 672*t**3 - 39*t + 1336*t**3 + l.
-(t - 19)*(t - 1)**2
Let a = 180489 + -180487. Factor -w - 1/5*w**a + 0.
-w*(w + 5)/5
Let f = -14 - -26. Let k = -266 + 269. Determine s so that 4*s + f*s**3 + 8*s - 47*s**k - 24*s**2 + 20*s**3 = 0.
-2, 0, 2/5
Let h(d) = 3*d**2 - d. Let n(p) = p**2 + 475*p. Let t(w) = -h(w) + n(w). Factor t(z).
-2*z*(z - 238)
Suppose -2*h - 3*g - 59 = 493, 4*h + 4*g + 1108 = 0. Let q = -1115/4 - h. Factor -1/4*m**2 - 3/4*m + q + 3/4*m**3.
(m - 1)*(m + 1)*(3*m - 1)/4
Find f such that -460*f**3 - 917*f**2 - 1521*f + 189*f + 4*f**4 + 2705*f**2 = 0.
0, 1, 3, 111
Let y(o) be the third derivative of -o**6/15 - o**5/5 + 209*o**4/6 - 32*o**2 + 8*o. Suppose y(q) = 0. Calculate q.
-11, 0, 19/2
Factor 170*x**2 + 30706250/3 - 72250*x - 2/15*x**3.
-2*(x - 425)**3/15
Suppose -103*p - 35*p = 20*p. Let z(a) be the first derivative of -3*a**4 - 2 + 4*a**2 - 4/3*a**3 + p*a. Suppose z(q) = 0. Calculate q.
-1, 0, 2/3
Let w(n) be the first derivative of -40 - 8/3*n**2 - 10/9*n**3 + 8/3*n. Factor w(p).
-2*(p + 2)*(5*p - 2)/3
Find j such that 0 - 3/2*j**5 + 3/2*j**3 + 0*j - 15/2*j**2 + 15/2*j**4 = 0.
-1, 0, 1, 5
Let a = 11 + -6. Suppose -4*j - 37 = -10*j + 5*w, 0 = -5*w - 25. Find k, given that -k + 4*k**5 + j*k**4 + 0*k**4 - 3*k**a - 2*k**2 = 0.
-1, 0, 1
Let b be 27/(-108) - 12/16. Let n be (b/(-6))/((-144)/(-576)). Factor 1/3*f - f**3 + n - 4/3*f**2.
-(f + 1)**2*(3*f - 2)/3
Let l = 181681 + -1271755/7. Find c, given that -36/7*c**2 + l*c + 3*c**4 - 27/7*c**3 + 0 = 0.
-1, 0, 2/7, 2
Let t(g) be the third derivative of -1/12*g**4 + 1/30*g**6 + g - 1/168*g**8 + 0 + g**2 - 8/15*g**5 + 8/105*g**7 + 8/3*g**3. Solve t(p) = 0.
-1, 1, 8
Let j(d) be the second derivative of 0*d**2 + 1 + 0*d**3 - 1/6*d**6 + 3/4*d**5 - 10/21*d**7 - 20*d + 0*d**4. Suppose j(n) = 0. What is n?
-1, 0, 3/4
Let l be ((-8)/6)/((-15)/(-1395)). Let b = -65 - l. Factor b + 84*r - 10*r**2 - 647 + 7*r**2.
-3*(r - 14)**2
Let f(n) be the second derivative of n**5/40 - 183*n**4/8 + 25389*n**3/4 - 223587*n**2/4 + 11290*n. Factor f(a).
(a - 273)**2*(a - 3)/2
Let k(s) be the third derivative of s**5/120 - 287*s**4/12 + 82369*s**3/3 + s**2 + 465*s. Factor k(q).
(q - 574)**2/2
Let r = 14033 - 14031. Let b(w) be the third derivative of 0*w**6 - 5/48*w**4 + 0 + 1/42*w**7 - 24*w**r - 1/12*w**5 + 5/672*w**8 + 0*w + 0*w**3. Factor b(n).
5*n*(n - 1)*(n + 1)**3/2
Let z be 3600/(-12)*(-5)/(-2). Let s = z + 750. Suppose -7/2*n**5 + 0*n + s + 2*n**2 - 9/2*n**4 + 6*n**3 = 0. What is n?
-2, -2/7, 0, 1
Suppose -32*v + 3*x - 46 = -33*v, -5*x + 48 = v. Suppose 0 = 3*w - 5*s + 9, -45*w + v*w - 5*s = -19. Find l such that 1/3*l - 2/3 + 1/3*l**w = 0.
-2, 1
Suppose -l - 8 = -5*l. Let s(h) = 8*h**4 + 2*h**3 - 14*h - 8. Let x(m) = m**3 - m**2 + m + 1. Let p(b) = l*s(b) + 12*x(b). Solve p(z) = 0.
-1, -1/2, 1
Let y = -1206163/5 + 241233. Determine l, given that -16*l - 102/5*l**2 - 18/5*l**4 - y*l**5 - 62/5*l**3 - 24/5 = 0.
-3, -2, -1
Let q = -45 - -51. Let d be 64/10 - q/15. Factor 0*y**2 - 4*y - 3*y**2 + y**2 + d + 0.
-2*(y - 1)*(y + 3)
Let z(r) = 5*r**2 + 15*r + 10. Let t(o) = -10*o**2 - 30*o - 20. Let d be (8/3)/(-6 - 112/(-21)). Let q(l) = d*t(l) - 9*z(l). Suppose q(n) = 0. What is n?
-2, -1
Let b(y) be the second derivative of y**7/105 + 23*y**6/75 - y**5 + 1051*y. Determine i, given that b(i) = 0.
-25, 0, 2
Let h(x) be the third derivative of -x**2 + 3/4*x**4 - 10/9*x**3 - 11 + 0*x + 1/60*x**6 - 2/9*x**5. Factor h(d).
2*(d - 5)*(d - 1)*(3*d - 2)/3
Let u(m) = -m**2 - 14*m - 14. Let q be u(-6). Let b be q/12 - (-12)/72. Find c, given that 3 + 2 + 15*c + 7 + b*c**2 = 0.
-4, -1
Suppose -l - 2*p = -8 + 12, -l + 5*p + 31 = 0. Suppose 7*c = 4*c + l. Determine x so that 2/3*x**c + 8/3 + 8/3*x = 0.
-2
Let z be (-2*(-3)/(-2)*(-1093)/4372)/1. Factor 3/4*s**2 + 1/4*s**3 - z - 1/4*s.
(s - 1)*(s + 1)*(s + 3)/4
Factor -20*b - 4*b**2 - 1/4*b**3 - 32.
-(b + 4)**2*(b + 8)/4
Suppose 3*j + 5*f - 3*f = 144, -3*f = j - 48. Factor 24 + 500*c**3 - 509*c**3 - 12*c + 42*c**2 - j*c.
-3*(c - 2)**2*(3*c - 2)
Let w(d) be the first derivative of -54 + 0*d - 8/5*d**4 + 6/5*d**2 - 2/15*d**3 + 22/25*d**5. What is q in w(q) = 0?
-6/11, 0, 1
Let n(v) be the second derivative of -20*v**4/3 + 5*v**3/2 - 1121*v. Factor n(a).
-5*a*(16*a - 3)
Let y = 284/1679 - 6/73. Let q = 245/92 + y. Suppose -5*p**2 + q*p**3 + 0 - p = 0. Calculate p.
-2/11, 0, 2
Let a = 367 - 367. Let s be 192/312*4/16. Factor 4/13*b**2 + 0*b + a*b**4 - s*b**5 + 6/13*b**3 + 0.
-2*b**2*(b - 2)*(b + 1)**2/13
Let t be 6*(-14)/5880*-6. Let r(c) be the first derivative of 6/7*c + 3/14*c**2 - 31 - 3/28*c**4 + t*c**5 - 3/7*c**3. Factor r(h).
3*(h - 2)*(h - 1)*(h + 1)**2/7
Suppose 3*k - 8*k = -3*v - 127, -v + 131 = 5*k. Let h(m) be the first derivative of -m + 1/2*m**4 + 11/4*m**2 - 13/6*m**3 + k. Factor h(o).
(o - 2)*(o - 1)*(4*o - 1)/2
Let w(p) be the second derivative of 2*p**7/21 + 794*p**6/15 - 398*p**5/5 + 1433*p. Factor w(o).
4*o**3*(o - 1)*(o + 398)
Let m(n) be the second derivative of 7*n**4/72 + 2489*n**3/9 + 237*n**2 + 41*n - 5. Suppose m(g) = 0. What is g?
-1422, -2/7
Determine r, given that 0*r - 16/11*r**2 + 0 + 2/11*r**3 = 0.
0, 8
Let z(t) = -14*t**4 + 10*t**3 + 169*t**2 - 462*t + 36. Let b(s) = -s**4 + s**2 + 2*s + 4. Let a(o) = 9*b(o) - z(o). Factor a(w).
5*w*(w - 4)**2*(w + 6)
Let w = 327 - 327. Factor 12/7*x**2 + 0 + w*x - 16/7*x**3 + 4/7*x**4.
4*x**2*(x - 3)*(x - 1)/7
Let m(k) be the third derivative of k**7/525 - 7*k**6/50 + 92*k**5/75 + 7*k**4/10 - 37*k**3/3 + 131*k**2 - 3*k - 2. Suppose m(o) = 0. What is o?
-1, 1, 5, 37
Factor -226 - 2356*t - 4*t**2 - 1250 + 1852*t.
-4*(t + 3)*(t + 123)
Let d = 37 + 25. Let v = d + -42. Factor 9*k**5 + 17*k**3 - v*k**3 - 8*k**5 + 2*k**2.
k**2*(k - 1)**2*(k + 2)
Let a(t) be the first derivative of t**4/4 - t**3 + 3*t - 73. Let o(l) be the first derivative of a(l). Factor o(i).
3*i*(i - 2)
Let z(x) be the third derivative of -643/360*x**6 - 9/112*x**8 - 37/180*x**5 - 10/9*x**3 + 17/9*x**4 - 59/70*x**7 + 106 + 0*x - x**2. Let z(y) = 0. What is y?
-5, -1, 2/9
Let l be (-8 + (-115)/(-10))*4/7. Factor -3*s - 5*s + 37*s**l + 47*s**2.
4*s*(21*s - 2)
Let b be 36/81 - (4 - (-544)/(-72)). Let n(d) be the second derivative of -16