 = -0, -22 = -5*t - 3*w. Suppose -y + 0 = -3*j + t, -5 = -5*j + 5*y. Factor 1/5 - 2/5*v + 1/5*v**j.
(v - 1)**2/5
Let v = -22 - -27. Let x(t) = 7*t**2 + 5*t - 30. Let m(i) = -38*i + 40 + 28*i - 15*i**2 + 20. Let w(j) = v*x(j) + 2*m(j). Solve w(n) = 0.
-3, 2
Let s be 40*-2*(-26)/65. Suppose -19*q + 35*q - s = 0. What is g in -1/2 + 1/6*g**q + 1/3*g = 0?
-3, 1
Let b(t) be the third derivative of t**8/420 - 9*t**7/350 - 13*t**6/200 - 2*t**5/75 - 6*t**2 - 24. Find m such that b(m) = 0.
-1, -1/4, 0, 8
Determine m so that -6/11*m**3 + 234/11*m**2 + 1680/11 - 1908/11*m = 0.
1, 10, 28
Let i = 3484/3 + -1160. Let t = -357/4 - -1087/12. Factor i - t*n + 1/3*n**2.
(n - 2)**2/3
Find d, given that 8/11*d**3 - 42/11*d**2 + 58/11*d - 12/11 = 0.
1/4, 2, 3
Let m(n) = 3*n**4 - 123*n**3 - 270*n**2 - 78*n + 4. Let f(u) = -9*u**4 + 247*u**3 + 541*u**2 + 157*u - 10. Let b(s) = -2*f(s) - 5*m(s). Factor b(z).
z*(z + 2)*(z + 38)*(3*z + 1)
Let l(d) = 98*d**2 + 10*d - 2. Let z be l(3). Let b = z + -908. Solve -4/5*c**4 - 4/5*c**3 + 0 + 4/5*c + 4/5*c**b = 0.
-1, 0, 1
Let z(v) = -13*v**4 - 66*v**3 + 182*v**2 + 24*v - 192. Let m(h) = 4*h**4 + 22*h**3 - 60*h**2 - 8*h + 64. Let p(g) = 19*m(g) + 6*z(g). Factor p(a).
-2*(a - 8)*(a - 2)**2*(a + 1)
Let c be (3/(-9))/1*(-78)/26. Suppose 19 = 3*s + 5*o, 7*s + c = 8*s - o. Let -q - 2/3 + 0*q**2 + 1/3*q**s = 0. Calculate q.
-1, 2
Factor 39*f**3 - 8592 + 135*f**2 - 660*f + 38*f**3 + 6692 - 82*f**3.
-5*(f - 19)*(f - 10)*(f + 2)
Suppose -1240 = 91*w + 7496. Let r = w + 98. Factor 0 - 2/9*c**r + 2/9*c.
-2*c*(c - 1)/9
Let q(g) be the second derivative of 3/20*g**5 + 6*g - 1/24*g**6 + 0*g**2 + 1 - 1/12*g**4 + 0*g**3. Factor q(t).
-t**2*(t - 2)*(5*t - 2)/4
Let z(x) = 10*x**2 - 182*x - 156. Let l(h) = -2*h**2 + 5*h + 1. Let q(u) = 6*l(u) + z(u). Factor q(g).
-2*(g + 1)*(g + 75)
Let a(f) = f**3 - 22*f**2 - 23*f. Let s be a(23). Suppose s*g + 4*g - 5*h = 48, -3*g + 3*h + 33 = 0. Factor 2*v + 7*v**2 + v**3 + g*v**2 - 11*v**2.
v*(v + 1)*(v + 2)
Suppose -39*d + 5 = -38*d. Let -23*q**2 + 14*q**2 + 696*q + d*q**2 - 30276 = 0. Calculate q.
87
Let o(l) be the second derivative of l**4/54 - 4*l**3/3 - 13*l**2 - 2*l - 230. Factor o(u).
2*(u - 39)*(u + 3)/9
Factor -526/5*f + 2/5*f**2 + 0.
2*f*(f - 263)/5
Let x(v) = v**3 - v**2 + v + 1. Let p(y) = -y**4 + 2*y**3 - y**2 + 3*y + 3. Suppose 3*u + k - 11 = 0, 3*u - 4*k + 0 = 1. Let g(o) = u*x(o) - p(o). Factor g(s).
s**2*(s - 1)*(s + 2)
Let b(o) = -483*o**3 - 26547*o**2 - 21279*o + 4731. Let f(p) = -37*p**3 - 2042*p**2 - 1637*p + 364. Let a(z) = 2*b(z) - 27*f(z). Solve a(q) = 0 for q.
-61, -1, 2/11
Suppose -4*p + x + 17 = 0, -765 + 850 = -5*x. Solve 6/7 - 2/21*q**2 + p*q = 0 for q.
-3, 3
Let g(i) be the third derivative of -1/4*i**4 + 0*i + 0*i**3 - 20*i**2 + 1/336*i**8 - 11/60*i**5 - 1/40*i**6 + 1/70*i**7 + 2. Solve g(x) = 0.
-3, -1, 0, 2
Let m(q) be the first derivative of -237 + 19/22*q**4 + 6/5*q**5 + 0*q**2 + 0*q + 2/11*q**3 + 3/11*q**6. Factor m(f).
2*f**2*(f + 3)*(3*f + 1)**2/11
Suppose -2036 - 3652 = -9*n. Let f = n - 632. Factor 12/5*k + f - 3/5*k**2.
-3*k*(k - 4)/5
Let d = -610856 + 610859. Solve 0 + 0*h + 3/5*h**d - 12/5*h**2 = 0 for h.
0, 4
Let j be (7/((-112)/6))/((-1408)/2560 + 6/20). Factor 0 + 6*g + j*g**3 + 6*g**2.
3*g*(g + 2)**2/2
Let h be 46728/66 + (0 - 4). Let k = h + -699. Find r, given that 0*r + 9/4*r**2 + 0 - 3/4*r**3 - 9/4*r**4 + 3/4*r**k = 0.
-1, 0, 1, 3
Let v(y) = y**3 + 1. Let a(c) = -2*c**3 + 2*c**2 - 3*c - 3. Let n(q) = a(q) + 5*v(q). Let w be n(1). Factor 3*b**w - 4*b**2 - 4*b**3 - b**4 + 4*b**2.
2*b**3*(b - 2)
Let a be ((-17986)/8464)/((-85)/10). Factor -a*w**2 - 35/2*w + 71/4.
-(w - 1)*(w + 71)/4
Let q(o) be the first derivative of -117 + 2/15*o**3 + 2/5*o**2 - 6*o. Suppose q(g) = 0. What is g?
-5, 3
Suppose 0 = 8*t - 231 - 49. Solve -t + 7 + 4*f - 4*f**2 + 28 = 0.
0, 1
Let t(s) be the third derivative of -s**8/3192 + 36*s**7/665 + s**6/190 - 64*s**5/57 - 287*s**4/76 - 108*s**3/19 - 7*s**2 - 118*s. Solve t(g) = 0 for g.
-1, 3, 108
Factor -6*n + 3/2*n**3 + 25/2*n**2 - 50.
(n - 2)*(n + 2)*(3*n + 25)/2
Let i = -15 - -23. Suppose 5*y - i*y + 6 = 0. Find t, given that 18 - 24*t + 6*t**y + 9*t**2 - 18 + 12 - 3*t**3 = 0.
1, 2
Suppose 80/3 + 62*h**2 - 10/3*h**3 + 92*h = 0. Calculate h.
-1, -2/5, 20
Factor -382*b**3 + 886*b**3 + 900*b**2 + 87*b**4 - 192 - 1002*b**3 - 408*b.
3*(b - 2)**3*(29*b + 8)
Let h = 12/365915 + 818916678/33298265. Let s = h + -170/7. Suppose 14/13*t**2 - 2/13*t**4 + 0 - s*t**3 - 8/13*t = 0. What is t?
-4, 0, 1
Let t be (80 + -77)*(-2)/(-36)*30. Suppose 0*h + 27/5*h**3 - 3/5*h**t + 0 - 3/5*h**4 + 27/5*h**2 = 0. Calculate h.
-3, -1, 0, 3
Let l = -45 - -118. Suppose -5*w - l = -4*k, 4*k + 3*w + 4 = 37. Let -k*z + 14*z**2 + 7 - 22 - 11*z**2 = 0. What is z?
-1, 5
Let 21 + 3*d**4 + 10 + 24 + 27*d**3 - 14*d + 11 - 13*d - 69*d**2 = 0. Calculate d.
-11, -1, 1, 2
Let x be -5 - (-2 - (45 - (-2 - 1))). Let d = 34 - 31. Factor 88*j**4 + j**3 + 9*j - x*j**2 - 73*j**4 + 30*j - 6 - 4*j**d.
3*(j - 1)**2*(j + 2)*(5*j - 1)
Let s(u) be the second derivative of 74 - 1/6*u**3 + 2*u + 0*u**2 - 7/6*u**4. Solve s(p) = 0.
-1/14, 0
Suppose -47*p + 51*p - 24 = 0. Let -32 - 23 - p*z**3 + 58 - 3*z**4 + 6*z = 0. Calculate z.
-1, 1
Let m be (-8)/6*7695/(-38). Let r be (-9)/15 + (-74)/m*-3. Factor 1/9*l**4 + r*l**2 + 4/9*l**3 - 4/9*l - 1/3.
(l - 1)*(l + 1)**2*(l + 3)/9
Let v be ((-1377)/252 + 6)/(1/(-16)). Let d = v - -10. Suppose -10/7*f**2 - 2/7*f**4 + 12/7 - 10/7*f**3 + d*f = 0. What is f?
-3, -2, -1, 1
Factor -4*c**2 - 204510 - 209501 + 2904*c - 113065.
-4*(c - 363)**2
Let t = 368068 - 368066. Factor 4/5*f**t + 0*f + 0 + 2/5*f**4 - 6/5*f**3.
2*f**2*(f - 2)*(f - 1)/5
Let p(m) = 3*m + 7. Let d be p(-4). Let y be (3 - (1 - (-1 + -1)))/d. Factor y*o + 0 - 3*o**2 + 15/4*o**3 - 3/4*o**4.
-3*o**2*(o - 4)*(o - 1)/4
Let 788768/3 + 1/6*b**3 + 262504*b - 837/2*b**2 = 0. What is b?
-1, 1256
Let a be ((-60)/(-20) + -2 + -3)*-2. Let j(n) be the second derivative of 14*n + 0 + 0*n**2 + 1/7*n**3 + 1/42*n**a. Factor j(h).
2*h*(h + 3)/7
Let u be -1*(4 + 18/(-9)) - 24/(-10). Suppose 0 = 2*o + 3 - 7. Suppose 6/5*r + u*r**o + 4/5 = 0. Calculate r.
-2, -1
Suppose -4*v - 20216 = -23*v. Let y be v/224 + (-2)/24. Solve y*r**2 + 4/3 + 6*r = 0 for r.
-1, -2/7
Let i = 2454 + -2452. Let d(s) be the first derivative of 4/3*s**3 + 2*s**i - 3/4*s**4 - 4/5*s**5 + 0*s - 14 - 1/6*s**6. Let d(w) = 0. Calculate w.
-2, -1, 0, 1
Let o(y) be the second derivative of -8*y**6/15 - 24*y**5/5 + 9*y**4 - 14*y**3/3 - 4*y - 33. Solve o(d) = 0.
-7, 0, 1/2
Let v(w) be the first derivative of -w**6/6 - 21*w**5 - 103*w**4/2 + 2*w**3/3 + 207*w**2/2 + 103*w + 751. Factor v(z).
-(z - 1)*(z + 1)**3*(z + 103)
Suppose -2*d - 6 = 5*m - 7*m, -4*m + 10 = -2*d. Let s = 2290 + -1517. Factor -805*b**m + 9*b**4 + 4*b**5 - b**4 - 8*b**3 - 28*b - 8 + s*b**2.
4*(b - 2)*(b + 1)**4
Let a(f) be the second derivative of -f**7/14 + 34*f**6 - 22983*f**5/4 + 701955*f**4/2 + 1462050*f**3 + 2222316*f**2 + 12*f + 112. Find q, given that a(q) = 0.
-1, 114
Let g(y) be the second derivative of -5/12*y**4 - 125/6*y**3 + 0*y**2 + 85*y + 0. Solve g(b) = 0.
-25, 0
Solve -7420*a**3 - 12365/4*a**2 - 3920*a**4 + 795/2*a - 45/4 = 0 for a.
-1, 3/56
Let s(c) = 4 - 2*c**3 + c**3 - 5*c**2 - 6*c**2 - 22*c - 12. Let f be s(-10). Factor -44*w**2 + 16 + 380*w**4 + 17*w**4 + f*w + 485*w**4 + 18*w**4 - 840*w**3.
4*(3*w - 2)**2*(5*w + 1)**2
Let 5211*a + 3402 + 237/2*a**2 - 255/4*a**3 + 9/4*a**4 = 0. Calculate a.
-7, -2/3, 18
Let h(u) be the second derivative of 17/21*u**3 + 30/7*u**2 + 0 + 1/42*u**4 - 4*u. Factor h(g).
2*(g + 2)*(g + 15)/7
Let 2/3*u**5 + 1512500/3*u**3 - 2750/3*u**4 + 57191406250/3*u - 3145527343750/3 - 415937500/3*u**2 = 0. What is u?
275
Let q(x) be the first derivative of -x**3/7 + 144*x**2/7 - 285*x/7 - 1393. Let q(k) = 0. What is k?
1, 95
Let l(v) be the first derivative of -3*v**5/20 + 21*v**4/8 + 19*v**3/4 - 21*v**2 - 45*v - 661. Let l(a) = 0. Calculate a.
-2, -1, 2, 15
Let l(d) be the third derivative of 0*d - 1/15*d**7 + 1/168*d**8 - 95*d**2 - 4/3*d**3 - 5/6*d**5 + 19/60*d**6 + 4/3*d**4 + 0. Suppose l(g) = 0. Calculate g.
1, 2
Factor -31/9*w**4 - 109/3*w**2 - 19*w**3 - 26/3 - 265/9*w.
-(w + 1)**3*(31*w + 78)/9
Factor 2*h**3 + 8*h**4 - 28*h**4 - 2*h + 50*h*