 the third derivative of b**5/60 + 7*b**4/24 - 3*b**3 - 2*b**2 - 212*b. Find v, given that t(v) = 0.
-9, 2
Let h be (-48926)/(-7195) + 38/(-10). Find l, given that 3/4*l**2 - l**5 + 0 - 15/4*l**4 + 0*l - 2*l**h = 0.
-3, -1, 0, 1/4
Suppose -96657*v = -96531*v - 35532. Let v*d - 66/5*d**4 - 90 + 636/5*d**3 + 2/5*d**5 - 1532/5*d**2 = 0. What is d?
1, 15
Let k = 26161 - 26158. Find v such that 0*v - 8/9*v**k - 10/9*v**4 + 2/9*v**2 + 0 = 0.
-1, 0, 1/5
Let f(g) = g**3 + g - 1. Let a(x) = -14*x**2 + x - 3*x - 2*x - 1 + 21 + 10*x**3. Let y(v) = a(v) - 12*f(v). Find m, given that y(m) = 0.
-4, 1
Let d(o) = o**2 + 1387*o + 1389. Let q(k) = k**2 + 2773*k + 2777. Let x(w) = 10*d(w) - 6*q(w). Let x(a) = 0. Calculate a.
-1, 693
Let h(p) = 2*p**3 - 153*p**2 - 1775*p + 1260. Let l = 254 + -244. Let y(q) = q**3 - q**2 + 2. Let u(x) = l*y(x) - 2*h(x). Determine a so that u(a) = 0.
-25, 2/3
Suppose -444*v = -445*v + 2*h + 13, 25 = v - 5*h. Solve 10/7*c**3 - 4/7*c**2 + 0 + 0*c + 2/7*c**v - 8/7*c**4 = 0 for c.
0, 1, 2
Suppose -2*c = l - 170 + 162, 0 = 5*l + 2*c - 16. Let p(a) be the first derivative of -1/14*a**4 - 2/7*a**3 - 21 - 2/7*a - 3/7*a**l. Factor p(k).
-2*(k + 1)**3/7
Suppose -23 = -5*s + n, -2*s + 2*n + 20 = -2*n. Suppose -s*r = -3*f - 15, 3*f + 3 = -2*r + 6. Factor 0*v**2 + r*v**2 - 389*v + 389*v.
3*v**2
Suppose 174*a - 603*a**2 + 48*a**3 + 117*a**3 - 982*a**2 - 5*a**4 + 3501*a - 2250 = 0. What is a?
1, 2, 15
Suppose h - 16 = -4*d, 5*h - 2*h - 2*d = 20. Suppose 20*t - 16*t = h. Solve -4*j**3 + 2*j**3 - j**2 - 7*j**t - 6*j = 0.
-3, -1, 0
Let v = 58 - 96. Let g = v + 73. Factor 7*x**2 - 40*x - 2*x**2 + g*x.
5*x*(x - 1)
Let d(n) = 70*n**2 - 7346*n - 6756485. Let c(j) = -234*j**2 + 22036*j + 20269454. Let y(f) = 3*c(f) + 10*d(f). Factor y(p).
-2*(p + 1838)**2
Factor 15 + 1/2*s**2 - 31/2*s.
(s - 30)*(s - 1)/2
Factor 90819/7*g**3 + 0 + 3/7*g**5 - 150*g**4 + 26400*g**2 + 92928/7*g.
3*g*(g - 176)**2*(g + 1)**2/7
Let z = 538774 - 538750. Factor 504 - z*p + 2/7*p**2.
2*(p - 42)**2/7
Suppose -g = -5*a - 43, -707*g = -702*g - 5*a - 55. Find s, given that -16/9 + 58/9*s**2 - 2*s**g + 20/3*s = 0.
-1, 2/9, 4
Determine g, given that -1/10*g**3 + 147/10*g**2 - 1095/2*g + 5329/10 = 0.
1, 73
Let j be ((-4 + -6)/10 - (-7 - -6))/2. What is s in s**3 + 0*s + j*s**2 - 2/3*s**4 + 0 - 1/3*s**5 = 0?
-3, 0, 1
Suppose 66*d + 15/2*d**4 + 81/2*d**2 - 30 - 48*d**3 = 0. Calculate d.
-1, 2/5, 2, 5
Let x = 776631/215735 - -3/43147. Factor 1/5*t**2 + x*t + 81/5.
(t + 9)**2/5
Let x(h) be the first derivative of -4/3*h**2 - 5/6*h**4 + 26/9*h**3 - 8/3*h + 111. Determine q so that x(q) = 0.
-2/5, 1, 2
Let o(s) = -169*s**2 - 2212*s - 191. Let z be o(-13). Let 1/3*d**4 - 23/3*d**2 + 38/3*d - 21/2*d**3 + 7/6*d**5 + z = 0. What is d?
-2, -2/7, 1, 3
Factor 41/4*p**2 - 11/4 + p**3 - 17/2*p.
(p - 1)*(p + 11)*(4*p + 1)/4
Let g = -36 + 41. Suppose -4*h = -2*w - 26, -g*h - 1 = w - 16. Factor -2*c**4 + 8*c**3 - c**h - 8*c**3 + 3*c**5.
3*c**4*(c - 1)
Factor -9991875*i - 1/4*i**3 + 12156781250 + 5475/2*i**2.
-(i - 3650)**3/4
Factor -20*s**2 + 15*s**3 - 43 + 95*s - 37 - 20*s**3 + 10.
-5*(s - 2)*(s - 1)*(s + 7)
Suppose 68*k + 183 - 362 - 161 = 0. Let o(g) be the second derivative of 0 - 3/80*g**k + 0*g**4 - 1/30*g**6 + 0*g**2 - 1/168*g**7 - 3*g + 0*g**3. Factor o(a).
-a**3*(a + 1)*(a + 3)/4
Suppose 4*r = 5 - 21. Let j be (r/8)/(2/(-8) - 0). Let -3*m**j - m**2 - 2*m + 4*m + 5*m**2 = 0. Calculate m.
-2, 0
Suppose 4*i + 2 = 5*n - 15, -4*n + 26 = 3*i. Factor 1661*b - 37*b**i + 67*b - 99 - 13725 + b**3 - 35*b**2.
(b - 24)**3
Let y(j) = -38*j**3 - 68*j**2 - 4*j - 11. Let d be y(-2). Factor -841/2 + d*k - 1/2*k**2.
-(k - 29)**2/2
Let h(a) = -85*a**3 - 360*a**2 - 345*a - 70. Let j(i) = -216*i - 180*i**2 - 36 - 31*i**3 - 12*i**3 + 43*i. Let x(k) = 2*h(k) - 5*j(k). Factor x(m).
5*(m + 1)*(3*m + 1)*(3*m + 8)
Let m(y) = 49*y**2 - 10700*y - 2381. Let d(l) = -24*l**2 + 5352*l + 1191. Let t(j) = 5*d(j) + 3*m(j). Find c such that t(c) = 0.
-2/9, 198
Let w(l) be the second derivative of l**5/120 - 7*l**4/24 - 35*l**3/18 - 4*l**2 + 195*l + 11. Let w(a) = 0. What is a?
-2, -1, 24
Let j(c) be the first derivative of -2*c**3/3 - 956*c**2 - 456968*c - 867. Solve j(a) = 0 for a.
-478
Let t(w) be the third derivative of -1/120*w**6 - 71*w**2 - 2*w**3 - 5/6*w**4 + 0 - 3/20*w**5 + 0*w. Factor t(j).
-(j + 1)*(j + 2)*(j + 6)
Let n = 23/3675 + 1/49. Let k(g) be the second derivative of -13*g + 0 + 1/15*g**4 - n*g**6 + 0*g**5 + 1/15*g**3 + 0*g**2 - 1/105*g**7. Factor k(a).
-2*a*(a - 1)*(a + 1)**3/5
Suppose 150*u**2 + 4088*u**3 + 81*u**5 - 360*u**4 - 7978*u**3 + 3995*u**3 + 24*u = 0. Calculate u.
-1/3, -2/9, 0, 1, 4
Let b(f) = 17*f**2 + 280*f - 466. Let z be b(-18). Factor -12*n**z + 20/3*n**3 - 4/3*n**4 + 28/3*n - 8/3.
-4*(n - 2)*(n - 1)**3/3
Factor 175/4*i**2 + 5/4*i**3 + 95 - 140*i.
5*(i - 2)*(i - 1)*(i + 38)/4
Let x(m) be the first derivative of m**5/50 - 4*m**4/15 + 33*m - 143. Let a(u) be the first derivative of x(u). Let a(t) = 0. What is t?
0, 8
Factor 63*f**2 + 0*f + 135*f - 251*f**2 + 90 + 116*f**2 + 122*f**2 + 5*f**3.
5*(f + 1)*(f + 3)*(f + 6)
Let i(h) = -373*h + 7463. Let f be i(20). Let d be (-20)/25 + (-32)/(-15). Factor 4/3*p**2 + 2/3*p - d - 2/3*p**f.
-2*(p - 2)*(p - 1)*(p + 1)/3
Let c = 15 + -12. Let i be (2 - (-10)/(-8)) + (-299)/(-92). Let -i*b**c - 2*b - 2*b + 8*b**2 + 8*b - 8 + 0*b = 0. What is b?
-1, 1, 2
Factor -1815/2 - 18*j**3 + 207*j**2 + 1/2*j**4 - 682*j.
(j - 15)*(j - 11)**2*(j + 1)/2
Determine i so that 217083/4 - 807/2*i + 3/4*i**2 = 0.
269
Let f be (8178*2/21)/(240/728). Let g = -2354 + f. Factor -8/5*w - g*w**3 + 2/15 + 32/5*w**2.
-2*(4*w - 1)**3/15
Let l = -15953/180 - -1777/20. Determine f so that -4/9*f**3 + 2/9 - l*f**4 + 0*f**2 + 4/9*f = 0.
-1, 1
Let v(o) be the third derivative of -o**7/21 - 149*o**6/24 + 32*o**5 - 395*o**4/24 - 385*o**3/3 + 1938*o**2. Suppose v(t) = 0. What is t?
-77, -1/2, 1, 2
Suppose w = -4*n - 16 + 18, 4*w - 68 = 4*n. Let t(u) = 28*u - 388. Let v be t(w). Factor 0*s + 0 + 2/7*s**5 - 2/7*s**3 - 2/7*s**v + 2/7*s**2.
2*s**2*(s - 1)**2*(s + 1)/7
Suppose 4*i - 2*d + 4 = 0, 13*d + 20 = 18*d. Let r be 540/(-1701) - ((-3)/7)/i. Find l, given that -5/9 + 2/3*l - r*l**2 = 0.
1, 5
Let y(n) be the second derivative of 45*n - n**4 - 3*n**2 + 0 - 3/20*n**5 - 5/2*n**3. Factor y(a).
-3*(a + 1)**2*(a + 2)
Let n(h) = -4*h + 116. Let d be n(28). Suppose -2*y - 2 = 3*m + 1, -d*m - 4 = 5*y. Factor 2 - 1/2*p**2 + y*p.
-(p - 2)*(p + 2)/2
What is q in -2/9*q**4 + 170/9*q - 26/9*q**3 + 14/9*q**2 - 52/3 = 0?
-13, -3, 1, 2
Let i = -147369421/217 - -679123. Let m = i + -12/31. Determine b, given that -3/7 - 6/7*b**3 - m*b**2 + 9/7*b - 3/7*b**5 + 9/7*b**4 = 0.
-1, 1
Let p = 381 + -379. Let 5*m**3 - 2*m**5 + 4*m**2 + m - p*m**4 - m**3 - m**2 - 3*m + m**2 - 2 = 0. Calculate m.
-1, 1
Let y(h) be the third derivative of 0*h + 7/36*h**4 - 1/20*h**5 - 267*h**2 + 0 - 1/60*h**6 + 1/630*h**7 + 0*h**3. Factor y(c).
c*(c - 7)*(c - 1)*(c + 2)/3
Let o(x) be the first derivative of -5*x**6/33 + 4*x**5/5 - 6*x**4/11 - 112*x**3/33 + 64*x**2/11 + 3092. Factor o(l).
-2*l*(l - 2)**3*(5*l + 8)/11
Suppose -1 = -2*c + 5*p, 52 = c - 3*p + 51. Let l(d) = 6*d**2 + 6*d. Let z(u) = -u**2 - 7*u**2 + u**2 - 7*u. Let q(b) = c*z(b) - 3*l(b). Factor q(s).
-4*s*(s + 1)
Suppose -4*a + 780 = 2*g, 602*a - 597*a + 4*g - 984 = 0. Solve -24*s + 3/4*s**2 + a = 0 for s.
16
Let f(s) = s**3 + s**2 + 5*s - 21. Let v be f(4). Let -32*k**3 + 4*k**5 + 72*k**2 + 16*k**4 + v*k**3 + 16*k**4 + 37*k**3 = 0. Calculate k.
-3, -2, 0
Let k(t) = -2*t**2 + 14*t + 186. Let v(y) = -3*y**2 + 21*y + 280. Let x(z) = 7*k(z) - 5*v(z). Factor x(w).
(w - 14)*(w + 7)
Determine r so that -1029/8*r**2 + 60 + 51/2*r**3 + 537/4*r - 9/8*r**4 = 0.
-1/3, 2, 5, 16
Let n(i) be the third derivative of -85*i**2 + 0*i**3 + 0 + 0*i**4 + 2*i - 1/10*i**5 - 1/40*i**6. Suppose n(a) = 0. Calculate a.
-2, 0
Solve 453152/9 + 149782/3*l**2 + 2/9*l**4 + 904400/9*l - 1900/9*l**3 = 0 for l.
-1, 476
Let d(w) be the first derivative of -16*w**5/105 + 146*w**4/21 - 284*w**3/63 - 73*w**2/21 + 24*w/7 - 3670. Determine b, given that d(b) = 0.
-1/2, 1/2, 36
Let o(g) be the second derivative of -g**7/105 - 44*g**6/75 + 93*g**5/50 + 22*g**4/15 - 92*g**3/15 + 1149*g. Find q, given that o(q) = 0.
-46, 