4 - 16/9*v**3 - 4/3*v - 26/9*v**2 + 0.
-2*v*(v + 1)**2*(v + 6)/9
Let o(f) = -4*f - 38. Let g be o(6). Let t = 62 + g. Solve -60*u**2 + t - 231/2*u**3 - 6*u + 363/2*u**4 = 0.
-2/11, 0, 1
Let r(l) = -l + 1. Suppose -238 = 23*p - 54. Let s(x) = -2*x**2 + 92*x - 890. Let v(i) = p*r(i) - s(i). Factor v(j).
2*(j - 21)**2
Let x(l) be the second derivative of -l**6/6 + l**5/2 + 95*l**4/12 - 170*l**3/3 + 150*l**2 - 8*l + 46. Let x(a) = 0. Calculate a.
-5, 2, 3
Let c = -177 - -179. Factor 33*h**4 - c*h**3 - 5*h**2 - 38*h**4 + 12*h**3.
-5*h**2*(h - 1)**2
Let a = 105 + -102. Factor -18*o + 7*o**4 + 13*o**a + 29*o**5 - 28*o**5 - 4*o**2 + o**2.
o*(o - 1)*(o + 2)*(o + 3)**2
Let l(h) = -4*h**2 + 4*h - 16. Let w(m) be the third derivative of -m**5/30 + m**4/24 - 20*m**2 + 2*m. Let g(o) = l(o) - 4*w(o). Factor g(r).
4*(r - 2)*(r + 2)
Let z = -159/17 + 631/102. Let b = 61/18 + z. Determine k so that b*k**5 + 2/9*k + 4/9*k**2 - 2/9 - 4/9*k**3 - 2/9*k**4 = 0.
-1, 1
Let q(i) be the second derivative of -i**4/48 - i**3/3 - 2*i**2 + 1771*i. Suppose q(j) = 0. What is j?
-4
Let v(f) = -4*f + 20. Let o be v(-3). Suppose -i + 4*x = -24, -5*i + 3*x = 5*x - o. Factor 8*a + 28 - i*a**2 - 26*a + 38*a.
-4*(a + 1)*(2*a - 7)
Solve 203130*q + 1101*q**2 + 401868 + 3/2*q**3 = 0.
-366, -2
Suppose -10*w - j + 11 = 0, -46*j = -42*j + 36. Solve 1/3*h**4 + 0 + w*h**3 + 4/3*h + 3*h**2 = 0.
-4, -1, 0
Let n = -27503/5 + 5503. Let c(u) be the second derivative of 0*u**2 - n*u**5 + 7/3*u**6 + 2/3*u**4 + 0 - 10*u + 0*u**3. What is g in c(g) = 0?
0, 2/7, 2/5
Let u(s) be the third derivative of -s**8/84 - 484*s**7/105 - 241*s**6/30 + 6*s**2 + 110*s - 3. Determine m so that u(m) = 0.
-241, -1, 0
Let y be 1/2 + (-658)/4. Let p = -121 - y. Let -2535*w - 44*w**3 + 195*w**2 + 117*w**3 - 35*w**3 - p*w**3 + 10985 = 0. What is w?
13
Let c(z) be the second derivative of -z**4/24 + z**3/12 + 33*z**2 + 1269*z. Suppose c(r) = 0. What is r?
-11, 12
Let n = 5552 - 5548. Suppose 11*a - 84 = 8*a. Solve 4/3 + n*b + 196/3*b**4 - 47/3*b**2 - a*b**3 = 0.
-2/7, 1/2
Let p = 15802/3 + -5214. Let r = -52 + p. Factor r + 4/3*n**2 - 8/3*n.
4*(n - 1)**2/3
Let c be 1*(-1)/(2/(-48)). Suppose 5*j + 5*q = 30, j + 5*q - c = -j. Solve -2*w + w**j - 2 + 19*w - 16*w = 0.
-2, 1
Let d = 65 + -61. Suppose 0 = k - 8 - d. Factor k*q + 15*q**3 - 12*q + q**4 - 16*q**4 - 5*q**2 + 5*q**5.
5*q**2*(q - 1)**3
Let o(r) = r**3 + 10*r**2 + 8*r - 3. Let d be o(-9). What is x in -12*x**2 + 2*x**4 - 1 + 54*x + 1 - 38*x - d = 0?
-3, 1
Let p be 23/(-230)*4/(-66)*-219. Let o = p - -41/11. Let -18/5*s**2 - o*s + 6/5 = 0. What is s?
-1, 1/3
Suppose 0 = o - 15*o + 1 - 1. Let q(d) be the second derivative of -1/2*d**3 + o + 24*d + 0*d**2 - 1/20*d**6 + 1/8*d**4 + 3/20*d**5. Factor q(s).
-3*s*(s - 2)*(s - 1)*(s + 1)/2
Let d(f) = 1363*f + 1400. Let v be d(-1). Let p(q) be the second derivative of 0*q**3 + 0 - 1/9*q**2 + 1/54*q**4 + v*q. Factor p(c).
2*(c - 1)*(c + 1)/9
Suppose 0 = -933*x + 937*x - 92. Find q, given that -9*q - 3*q - 12*q**3 + 8*q**2 + 4*q**2 + x*q - 8*q - 3 = 0.
-1/2, 1/2, 1
Let i = 5 + -2. What is s in -7*s**i - 8*s**3 + 6*s + 9*s**3 - 3*s**2 + 0*s**3 + 3*s**4 = 0?
-1, 0, 1, 2
Let h(f) be the second derivative of -f**8/240 + 9*f**7/140 + 2*f**6/45 + f**3/6 - 3*f**2 - 45*f. Let y(d) be the second derivative of h(d). Factor y(n).
-n**2*(n - 8)*(7*n + 2)
Suppose -5*s + 3*r = -1156, r = 2*s + 4*r - 454. Suppose 2*k - 2*z = 816, 5*k = z + s + 1798. Factor -5/3*c**3 - k*c + 45*c**2 + 1215.
-5*(c - 9)**3/3
Let y(p) = 226*p + 5427. Let h be y(-24). Let -36/5*c**2 - 8*c - 16/5 - 2/5*c**4 - 14/5*c**h = 0. What is c?
-2, -1
Let u be 9*(-554)/8*(-112)/(-84). Let a = -829 - u. Factor 14/11*j**a + 0 - 6/11*j - 10/11*j**3 + 2/11*j**4.
2*j*(j - 3)*(j - 1)**2/11
Let c(i) be the third derivative of -1/1680*i**8 - i - 25*i**2 + 0*i**5 + 0 + 0*i**4 + 0*i**3 - 1/300*i**6 + 1/350*i**7. Factor c(n).
-n**3*(n - 2)*(n - 1)/5
Let u(y) be the second derivative of y**4/20 + 1194*y**3/5 + 7161*y**2/10 - 13046*y. Factor u(h).
3*(h + 1)*(h + 2387)/5
Factor -1/6*n**3 + 0 + 163*n**2 - 79707/2*n.
-n*(n - 489)**2/6
Let w(c) = -16*c**3 + 12*c**2 + 22*c - 18. Let p(n) = 50*n + 73 + 21*n**2 - 128 - 46*n**3 + 17*n + 13*n**2. Let k(u) = 6*p(u) - 17*w(u). Factor k(r).
-4*(r - 2)*(r - 1)*(r + 3)
Let q(b) be the first derivative of -b**6/30 + b**5/20 + b**4/12 - b**3/6 - 332*b + 47. Let z(i) be the first derivative of q(i). What is n in z(n) = 0?
-1, 0, 1
Let u be (4*(-3)/(-24))/((23 - 5) + -8). Let r(v) be the third derivative of 12*v**2 + 0*v - 2/15*v**3 - 1/150*v**5 + 0 + u*v**4. Determine t so that r(t) = 0.
1, 2
Let o(b) = -2*b**2 + 12*b - 13. Let l be o(4). Suppose l*a - 65 + 59 = 0. Solve 31/9*j + 8/9 - 4/9*j**a = 0.
-1/4, 8
Determine j, given that -2*j**2 + 13*j - 21*j**4 - 5*j + 19*j**4 - 3*j**3 - 9*j**3 - 16*j**2 + 24 = 0.
-3, -2, 1
Let i(q) be the second derivative of 5*q**4/12 - 415*q**3/6 - 425*q**2 + 395*q - 2. Factor i(a).
5*(a - 85)*(a + 2)
Solve -74*f + 9/5*f**3 + 1663/5*f**2 + 0 = 0 for f.
-185, 0, 2/9
Let n(k) be the third derivative of 9*k**5/140 - 311*k**4/56 - 10*k**3 - 4*k**2 + 368*k. Determine w so that n(w) = 0.
-4/9, 35
Let h = 8787 + -43693/5. Let g = -228/5 + h. Let 8/15*r + 98/15*r**4 - 16/5*r**2 + 0 + g*r**3 = 0. Calculate r.
-1, 0, 2/7
Let l(o) = -19452*o - 213972. Let m be l(-11). Factor -1/5*d**4 - 14/5*d**3 + 0*d + m - 49/5*d**2.
-d**2*(d + 7)**2/5
Factor -32/3*s - 4/3*s**2 - 16.
-4*(s + 2)*(s + 6)/3
Suppose 21*z + 27*z + 20*z = 139*z - 284. Let 1/4*y - y**2 - 1/4*y**3 + 0 + y**z = 0. What is y?
-1, 0, 1/4, 1
Let g(q) be the first derivative of -5*q**4 + 595*q**3/3 + 715*q**2 + 320*q + 858. Factor g(k).
-5*(k - 32)*(k + 2)*(4*k + 1)
Let q = 345/512 + -25/512. Let f(h) be the first derivative of -22 - 2*h - q*h**4 + 7/6*h**3 + 2*h**2. Suppose f(s) = 0. What is s?
-1, 2/5, 2
Let f(b) be the first derivative of b**4/114 + 5*b**3/57 + 6*b**2/19 + 8*b - 65. Let r(m) be the first derivative of f(m). Factor r(o).
2*(o + 2)*(o + 3)/19
Let w(m) be the third derivative of m**7/168 + 17*m**6/32 + m**5 - 125*m**4/24 - 1069*m**2 - m. Suppose w(s) = 0. What is s?
-50, -2, 0, 1
Let u(g) be the second derivative of -1/30*g**6 + 0*g**3 + 0*g**2 + 1/4*g**4 - 1/10*g**5 + g - 6. Solve u(y) = 0 for y.
-3, 0, 1
Let g(y) be the first derivative of -y**6/2700 + y**5/150 + 4*y**4/45 + 20*y**3/3 - y**2 + 194. Let b(v) be the third derivative of g(v). Factor b(i).
-2*(i - 8)*(i + 2)/15
Suppose -2*o = -5*q + 46, -1515*o = -5*q - 1514*o + 28. Factor -1/9*h**q - 1/9*h + 0.
-h*(h + 1)/9
Let 1/3*n**3 + 91/3*n**2 + 88/3*n - 60 = 0. What is n?
-90, -2, 1
Let h(r) be the third derivative of r**7/3360 + r**6/720 + r**5/480 - 7*r**3 - 57*r**2 + 1. Let b(f) be the first derivative of h(f). What is a in b(a) = 0?
-1, 0
Let l(b) be the first derivative of -b**6/45 - b**5/15 - b**4/12 + 11*b**3/3 - 44. Let u(o) be the third derivative of l(o). Determine c, given that u(c) = 0.
-1/2
Let m(y) = 4*y**3 + 51*y**2 + 47*y + 10. Let n(l) = 51*l - 81*l + 29*l + 2 - l**2. Let t(j) = -m(j) + 5*n(j). Determine b, given that t(b) = 0.
-13, -1, 0
Let 14/9*b**4 - 8/9*b - 58/9*b**3 + 64/9*b**2 + 0 = 0. What is b?
0, 1/7, 2
Factor 443*t - 2805*t**2 + 146*t + 867*t**3 - 36 + 35*t.
3*(t - 3)*(17*t - 2)**2
Suppose 0 = 155*k + 87*k. Let x(h) be the third derivative of k*h**4 + 1/210*h**7 + 18*h**2 + 0*h**3 + 1/40*h**6 + 1/30*h**5 + 0 + 0*h. Factor x(i).
i**2*(i + 1)*(i + 2)
Solve 280/13*y + 282/13 - 2/13*y**2 = 0 for y.
-1, 141
Suppose 0 = 8*a - 5*a + 1401. Let r = 467 + a. Factor -7/4*c**2 + r - 1/2*c.
-c*(7*c + 2)/4
Find n such that 0 - 20*n + 1/3*n**3 - 4/3*n**2 = 0.
-6, 0, 10
Let u(r) = 23*r**2 - 61*r - 175. Let n(t) = 27*t**2 - 63*t - 174. Let g(v) = 5*n(v) - 6*u(v). Suppose g(y) = 0. Calculate y.
-3, 20
Let g(r) be the first derivative of r**3/6 + 28*r**2 - 399. Factor g(v).
v*(v + 112)/2
Let h(a) be the second derivative of -7*a**5/50 - 67*a**4/3 - 5312*a**3/5 + 4608*a**2/5 - 4931*a. Factor h(q).
-2*(q + 48)**2*(7*q - 2)/5
Suppose 84*k + 30 - 282 = 0. Let w be k - (-2)/((-70)/91). What is g in -2/5*g**3 + 2/5*g + 2/5*g**2 - w = 0?
-1, 1
Let z(m) = -m**2 + 16*m + 5. Let o be z(11). Suppose 5*q + 10 = o. Factor -25*l**2 - 18*l - 14*l + q + 20 - 3*l.
-5*(l + 2)*(5*l - 3)
Factor -379456/5 - 4/5*m**