). Let 4/3*w**t + 0 + 2/3*w - 3*w**2 = 0. Calculate w.
0, 1/4, 2
Let a(b) be the second derivative of -7/3*b**3 + 1/4*b**5 + 0 + 11/4*b**4 - 136*b + 0*b**2. Solve a(d) = 0.
-7, 0, 2/5
Let h = 622 - 602. Find v such that 19*v - 25*v - 22*v**3 + 27*v - 20*v**2 + h + v**5 = 0.
-4, -1, 1, 5
Let d be (194/(-679))/(40/(-70)). Let -d*h**3 + 1/8*h**5 + h**2 + 0 + 0*h - 1/4*h**4 = 0. What is h?
-2, 0, 2
Suppose 4*f = 8*s - 6*s - 4, -2*f = 0. Let 3*c - 7*c + 15 - 4 + 5 - 6*c + c**s = 0. Calculate c.
2, 8
Let f be (13 - 1)*(945/28)/15. Suppose f - 3*t**3 - 27*t**2 - 17*t + 3*t + 17*t = 0. Calculate t.
-9, -1, 1
Let v(z) be the first derivative of z**6/3 - 48*z**5/5 + 41*z**4/2 + 44*z**3 - 2740. Solve v(q) = 0.
-1, 0, 3, 22
Let a be (-2 + 36/16)/(-89 + 95). Let q(s) be the second derivative of -1/40*s**5 + 1/4*s**2 + 1/12*s**3 + 3*s - a*s**4 + 0. Factor q(l).
-(l - 1)*(l + 1)**2/2
Let i(v) be the first derivative of 4*v**2 + 20 - 5/16*v**5 + 5/12*v**4 + 5/8*v**3 + 1/24*v**6 + 0*v. Let g(x) be the second derivative of i(x). Factor g(h).
5*(h - 3)*(h - 1)*(4*h + 1)/4
Let q(c) be the second derivative of -29*c - 1/15*c**6 + 9/5*c**5 - 6*c**3 + 1/6*c**4 - 2 + 0*c**2. Factor q(h).
-2*h*(h - 18)*(h - 1)*(h + 1)
Suppose 67 + 5 = 37*h - 2. Factor -14/11 + 2/11*p**h - 12/11*p.
2*(p - 7)*(p + 1)/11
Let l = 35191/30 + 13957/6. Suppose -2754/5*c**2 - 159/5*c**3 - 3/5*c**4 - 2916*c + l = 0. What is c?
-18, 1
Let f be 1*-11 - (-227 + 210). Let j(b) be the second derivative of 2/15*b**f + 4/3*b**3 - 2/5*b**5 + 0 - 9*b + 0*b**4 - 2*b**2. Factor j(w).
4*(w - 1)**3*(w + 1)
Let h = -28187 - -422813/15. Let j(f) be the third derivative of -1/30*f**5 - 34*f**2 + 0 + 11/30*f**4 - h*f**3 + 0*f. Factor j(m).
-2*(m - 4)*(5*m - 2)/5
Let h = 230542/67221 - 10/9603. Factor h + 18/7*b**3 + 66/7*b**2 + 72/7*b.
6*(b + 1)*(b + 2)*(3*b + 2)/7
Let s(i) = -2*i**3 + 24*i**2 + 108*i + 219. Let w(j) = 115*j + 4*j + 439 + 50*j**2 + 97*j - 5*j**3. Let p(a) = 7*s(a) - 3*w(a). What is d in p(d) = 0?
-6
Let x(y) be the first derivative of y**3 + 66*y**2 + 129*y + 18. Factor x(i).
3*(i + 1)*(i + 43)
Let o(m) be the first derivative of -3*m**4/8 - 7*m**3/2 + 27*m**2/4 + 189*m/2 + 973. Factor o(d).
-3*(d - 3)*(d + 3)*(d + 7)/2
Let i(g) be the first derivative of g**4/15 + 34*g**3/15 + 81*g - 51. Let n(y) be the first derivative of i(y). Find b, given that n(b) = 0.
-17, 0
Let b(f) = 2*f + 17. Let w be b(-6). Find y such that -1615*y**w + 21*y**3 - 20*y + 30*y**4 - 86*y**3 + 60*y**2 + 1610*y**5 = 0.
0, 1, 2
Let t(z) = -z**2 - 3*z - 12. Let n be t(-4). Let b be (((-1024)/(-120))/n)/(12/(-15)). Factor 2/3*p**3 - 8/3 - 8/3*p + b*p**2.
2*(p - 2)*(p + 1)*(p + 2)/3
Let q(v) be the second derivative of -7000/3*v**3 - 1176*v**2 + 50*v**5 + 25*v - 2/5*v**6 - 2 - 15373/9*v**4. Factor q(d).
-4*(d - 42)**2*(3*d + 1)**2/3
Let d(h) be the second derivative of h**6/5 + 49*h**5/10 - 17*h**4/3 - 6*h - 193. Factor d(c).
2*c**2*(c + 17)*(3*c - 2)
Let m(x) = x**2 + x - 11. Let v(u) = 7 - 4 - 1 - 1. Suppose g = -4*q - 0*g - 12, -2*g - 4 = -2*q. Let t(w) = q*m(w) - 18*v(w). Factor t(k).
-2*(k - 1)*(k + 2)
Let 35*c**2 - 14 - 77*c**2 + 70*c + 89 + 37*c**2 = 0. What is c?
-1, 15
Suppose 0 = 21*g - 44 - 40. Determine p so that -16 - 239*p**2 + 2*p**5 - 5*p**5 + 0*p**5 + 4*p**3 + 287*p**2 - 11*p**g + 32*p = 0.
-2, 1/3, 2
Determine k so that 63/8*k**4 + 9 + 3/2*k**5 + 15/4*k**3 - 21/4*k - 135/8*k**2 = 0.
-4, -2, -1, 3/4, 1
Let y(h) = h**2 + 31*h + 201. Let c be y(-9). Let r**2 + 29 + 152*r + c*r + 11 - 21*r**2 = 0. What is r?
-1/4, 8
Suppose -229*b + 4*y + 14 = -226*b - 0*y, -y = b. Factor 7/9*r + 2/3 + 1/9*r**b.
(r + 1)*(r + 6)/9
Let 2*m**2 + 153*m**2 + 5*m**4 + 146*m - 2488*m**3 - 41*m + 4974*m**3 - 2431*m**3 = 0. What is m?
-7, -3, -1, 0
Let a be (64 - (-39866)/(-620))/((-6)/10). Determine z, given that 3/2*z**3 - 2*z**4 + a*z**5 + 0 + 0*z + 0*z**2 = 0.
0, 1, 3
Let d = 7898/17 + -464. Determine o, given that -26/17*o**2 - 16/17 - d*o**3 + 52/17*o = 0.
-4, 2/5, 1
Suppose -3*r + 5*t + 40 = 0, -2*r + 2*t + 4 = -28. Factor r*u**3 - 7*u - 8*u**3 + 5*u**4 + 28*u**3 + 7*u.
5*u**3*(u + 8)
Let t(k) be the second derivative of -22 + 4*k - 25/2*k**2 - 1/48*k**4 + 5/6*k**3. Factor t(m).
-(m - 10)**2/4
Let d(p) = -4*p**2 + 6288*p + 823752. Let b(k) = -6*k**2 + 8384*k + 1098337. Let g(x) = 8*b(x) - 11*d(x). What is c in g(c) = 0?
-262
Let 2/9*b**4 + 116/9*b**2 + 0 + 0*b - 62/9*b**3 = 0. What is b?
0, 2, 29
Suppose 150 = 2*l - 110. Let t be (-16)/10 + 2 + l/50. Factor 12*k - 6*k**2 + 2*k**2 - 2*k**2 + t*k**2.
-3*k*(k - 4)
Let b(h) be the second derivative of -h**4/3 + 754*h**3/3 + 756*h**2 + 1215*h. Factor b(i).
-4*(i - 378)*(i + 1)
Let b(y) = -y**3 - 5*y**2 - 5*y - 22. Let m be b(-4). Let t be 552/42 + m + 1*5. Suppose 1/7*n**4 - 3/7 - 6/7*n**3 + 2/7*n**2 + t*n**5 + 5/7*n = 0. Calculate n.
-3, -1, 1
Suppose -892 = 11*p - 947. Let i(s) be the third derivative of 0 + 10*s**2 + 0*s**p + 0*s + 0*s**4 - 1/24*s**6 + 0*s**3 + 1/42*s**7. Let i(q) = 0. Calculate q.
0, 1
Let j be (-90)/63*7 - -12. Let l(h) be the third derivative of -2/15*h**5 + 0*h**3 + 1/20*h**6 + 0*h - 3*h**j + 0 - 1/3*h**4. Solve l(k) = 0.
-2/3, 0, 2
Suppose -10*t - 2*n - 16 = -15*t, -3*t + 17*n = -57. Determine d, given that -3/5*d**t - 6/5*d + 3/5*d**3 + 0 = 0.
-1, 0, 2
Let a be 74/3*(-6)/(-10). Let v = 8139 + -40671/5. Determine q so that -104/5*q - 14/5*q**3 - v - a*q**2 = 0.
-3, -2, -2/7
Let n be (22/4 + -1)*(-2940)/(-63). Determine j, given that 240 - 39*j**3 - 6*j**3 - 100*j**2 + 115*j - n = 0.
-3, -2/9, 1
Let i be 1 + -1 + 18/(-9). Let x be i + (-175)/(-15) + (-8)/12. Determine r, given that 19*r - r**3 - 1 - x*r - 9*r - 3 + 4*r**2 = 0.
-1, 1, 4
Let o(h) be the third derivative of 2/15*h**6 + 89/15*h**5 + 58 + h**2 + 53/3*h**4 + 14*h**3 + 0*h. Find t, given that o(t) = 0.
-21, -1, -1/4
Suppose -101*i = 2820 + 715. Let x be (-15)/i + (-216)/210 + 1. Factor -4*a + 10 + x*a**2.
2*(a - 5)**2/5
Find r such that 33032 - 109*r**2 + 43018 + 8580*r + 351*r**2 = 0.
-195/11
Let a(k) be the third derivative of k**6/24 - 103*k**5/4 - 525*k**4 - 12680*k**3/3 - 1328*k**2. Suppose a(f) = 0. What is f?
-4, 317
Let b(t) be the third derivative of -t**7/1260 + t**6/60 + t**4/12 - 53*t**3/6 - 48*t**2 + 1. Let h(g) be the second derivative of b(g). Solve h(p) = 0 for p.
0, 6
Let s(v) = -521*v**2 - 22*v - 22. Let u be s(-1). Let n = u + 522. Factor -121/4*i**2 - n - 11*i.
-(11*i + 2)**2/4
Let n be 33/(-462) - 176/(-14). Let i(f) be the first derivative of f**5 - 25/4*f**4 + 0*f + n*f**2 - 5/3*f**3 - 32. Factor i(t).
5*t*(t - 5)*(t - 1)*(t + 1)
Let c(u) be the second derivative of 3 + 2/21*u**3 - 11/42*u**4 + 0*u**2 - u. Factor c(p).
-2*p*(11*p - 2)/7
Let p(x) = 4*x**2 - 89*x + 13. Let m be p(22). Let h be 3 + m - 585/(-75). Solve 6/5*u**3 - 9/5*u - h*u**2 + 6/5 = 0 for u.
-1, 1/2, 2
Let p(v) = -v**2 - v + 2. Let d(w) = 57*w**2 + 29*w + 22. Let o(u) = -d(u) + 5*p(u). Let z(x) = 21*x**2 + 11*x + 5. Let m(g) = -3*o(g) - 8*z(g). Factor m(l).
2*(l + 1)*(9*l - 2)
Let m(r) be the second derivative of -1/30*r**5 + r + 7 - 7/9*r**3 - 4/9*r**4 + 0*r**2. Determine w, given that m(w) = 0.
-7, -1, 0
Let c(g) = g**2 - 10*g + 3. Let i = -18 + 54. Let w be (2/6)/(1*(-4)/i). Let z(v) = v + 1. Let h(d) = w*z(d) - c(d). What is s in h(s) = 0?
1, 6
Suppose 21*s - 22*s = m, -16 = -5*s + 3*m. Let z be 0 - s - ((-5)/5 - 1). Let 2/9*g**3 - 2/9*g - 2/3*g**2 + z + 2/3*g**4 = 0. What is g?
-1, -1/3, 0, 1
Let l(f) be the third derivative of -5*f**5/4 + 77*f**4/8 - 3*f**3 + 69*f**2 + 2*f. Find k such that l(k) = 0.
2/25, 3
Let j(w) = -w**2 - 50. Let m(g) = -2*g**2 + 233*g - 150. Let k(q) = 6*j(q) - 2*m(q). Determine n, given that k(n) = 0.
-233, 0
Suppose 0 = -4*i + 12, 38*v = 37*v + 5*i - 11. Let m(k) be the first derivative of -1/3*k**6 + 0*k**v + 2 + 4/5*k**5 + k**2 - 4/3*k**3 + 0*k. Factor m(x).
-2*x*(x - 1)**3*(x + 1)
Let d(m) be the first derivative of -2/5*m**3 - 11/10*m**2 - 41 - 1/20*m**4 - 6/5*m. Factor d(g).
-(g + 1)*(g + 2)*(g + 3)/5
Let p be (2380/130)/(27/(-6)) + 4. Let w = p + 758/819. Factor w*q**2 - 11/7*q + 6/7 - 1/7*q**3.
-(q - 3)*(q - 2)*(q - 1)/7
Factor 6 + 1/2*v**4 + 15/2*v**3 + 39/2*v**2 + 37/2*v.
(v + 1)**3*(v + 12)/2
Let t(y) = -23*y**4 + 397*y**3 + 443*y**2 - 384*y - 446. Let i(g) = -11*g**