 59*b**5/24 + 37*b**4/48 + 16*b**2 + 7*b + 3. Factor z(j).
j*(j + 37)*(4*j - 1)**2/2
Let c(z) be the second derivative of -z**7/126 - z**6/30 + 29*z**5/20 - 233*z**4/36 + 37*z**3/3 - 12*z**2 - 735*z. Factor c(b).
-(b - 6)*(b - 1)**3*(b + 12)/3
Let n(m) be the second derivative of 0 - 147*m - 147/10*m**2 - 3/4*m**4 + 3/100*m**5 + 63/10*m**3. Factor n(s).
3*(s - 7)**2*(s - 1)/5
Let u(v) be the second derivative of -52/7*v**2 + 17/7*v**3 + 1/42*v**4 + 165*v + 0. Factor u(j).
2*(j - 1)*(j + 52)/7
Let g(u) be the first derivative of 2*u**3/33 + 8*u**2/11 + 32*u/11 - 7178. Determine j so that g(j) = 0.
-4
Let a(i) be the first derivative of -26 + 13520*i + 5/3*i**3 + 260*i**2. Suppose a(p) = 0. Calculate p.
-52
Let b(k) be the second derivative of k**6/15 - 63*k**5/10 - 241*k**4/3 - 192*k**3 + 1120*k**2 - 30*k + 1. Factor b(p).
2*(p - 70)*(p - 1)*(p + 4)**2
Let t(x) be the third derivative of 0*x + 1/270*x**6 - 1/270*x**5 - 44*x**2 - 1/945*x**7 + 0 + 0*x**4 + 0*x**3. Suppose t(p) = 0. What is p?
0, 1
Suppose 0 = -5*l + 5*v - 6 - 44, 16 = -l - v. Let j be -3*((-20)/(-30))/(l - -3). Factor 0 + 0*d**2 - j*d**4 + 2/5*d**3 + 0*d.
-d**3*(d - 2)/5
What is u in -494/3*u**2 - 1676/3*u + 14/3*u**4 + 1676/3*u**3 + 160 = 0?
-120, -1, 2/7, 1
Suppose 26/9*n**3 - 14*n**4 - 26/9*n - 4/3 + 46/3*n**2 = 0. Calculate n.
-1, -2/9, 3/7, 1
Suppose 0 = 15*r - 6*r - 1827. What is s in -41 - 264*s**2 + 40*s**4 + 97*s + r*s - 106*s**3 - 100*s + 9 = 0?
-2, 1/4, 2/5, 4
Suppose -5*z - 3*b = -49, 1668*z - 4*b = 1664*z - 44. Suppose 81/2 + 1/2*m**5 + 81*m**z + 13/2*m**4 + 189/2*m + 33*m**3 = 0. Calculate m.
-3, -1
Let d be (-24)/(-104) - 54/234. Let k(m) be the second derivative of -1/12*m**6 + 0*m**3 - 5/24*m**4 + 0 + d*m**2 + 5*m + 1/4*m**5. Factor k(v).
-5*v**2*(v - 1)**2/2
Suppose 0*i + 44 = -4*i, 5*m = 9*m - i - 19. Factor -5/2*z**m + 3/2*z + 1/2*z**3 + 9/2.
(z - 3)**2*(z + 1)/2
Let p(w) be the second derivative of -1/6*w**6 + 10/3*w**3 + 0 + 5/4*w**4 - 1/2*w**5 - 10*w**2 + 64*w. Solve p(k) = 0.
-2, 1
Let f(z) be the first derivative of z**6/480 + z**5/160 - z**4/16 - z**3/3 - 32*z**2 + 216. Let d(g) be the third derivative of f(g). Solve d(y) = 0.
-2, 1
Let g(c) = -26*c - 33. Let q be g(-10). Let m = q - 1129/5. Factor -30 + 12*t - m*t**2.
-6*(t - 5)**2/5
Suppose 4*f + 2*j - 14 = f, j + 5 = 0. Let m(r) be the first derivative of 0*r + 1/6*r**4 + 2/21*r**5 + 4/63*r**3 - f + 0*r**2. Suppose m(u) = 0. Calculate u.
-1, -2/5, 0
Let z = 44 - 71. Let x(b) = b**2 + 27*b + 2. Let o be x(z). Find u such that 0*u + 1/2*u**o - 1/2 = 0.
-1, 1
Suppose -928 - 1176 = -526*k. Factor -2/3*t**2 + 1/6*t**5 + 16/3*t - 5/6*t**4 - k*t**3 + 0.
t*(t - 8)*(t - 1)*(t + 2)**2/6
Factor -14650*u + 8*u**2 + 9728843 + 1002282 - 3*u**2.
5*(u - 1465)**2
Let n = 497734/3 - 165911. Let -2/3*b - n*b**2 + 1 = 0. What is b?
-3, 1
Determine v so that -106/3*v**2 - 2/3*v**4 - 28/3*v**3 + 56 - 32/3*v = 0.
-7, -6, -2, 1
Let b be 28/(-5) + 96/16 - (-152)/95. Let k(j) be the second derivative of 0*j**3 + 36*j + 1/30*j**4 + 0 - 2/75*j**5 + 1/225*j**6 + 0*j**b. Solve k(i) = 0.
0, 1, 3
Suppose -2*r + 6 = -v - 6, 0 = 5*r + 5*v. Suppose -7*n = -r*n - 51. Determine h so that -17*h - 20 - n*h + 505*h**2 - 519*h**2 = 0.
-10/7, -1
Let y(p) = -1 + p + 391*p**4 - 351*p**3 + 44*p**2 + 9*p + 14 - 2. Let b(x) = 78*x**4 - 70*x**3 + 9*x**2 + 2*x + 2. Let n(m) = -22*b(m) + 4*y(m). Factor n(u).
-2*u*(2*u - 1)**2*(19*u + 2)
Let o = 4/47365 + 18934/142095. Factor -6/5*p - 4/3 + o*p**2.
2*(p - 10)*(p + 1)/15
Let p(v) be the first derivative of -1/25*v**5 + 3/5*v**2 - 3/10*v**4 - 135 + 1/15*v**3 + 0*v. Factor p(n).
-n*(n - 1)*(n + 1)*(n + 6)/5
Let i(j) = 4*j**2 - 2*j + 1. Let n be i(1). Let d be 49/490 - 28/280. Factor -8/3*p**2 + 2/3*p**n + d + 8/3*p.
2*p*(p - 2)**2/3
Factor 113*u**3 - 5*u**4 + 47*u**3 + 11*u**3 + 89*u**3.
-5*u**3*(u - 52)
Suppose 266*g - 111*g = 445 + 175. Determine j, given that -1/3*j**3 + 0 + 0*j - 1/6*j**2 - 1/6*j**g = 0.
-1, 0
Suppose -11*z - 11 - 385 = 0. Let r be z/27*3/(-2). Factor -8/13*f**r - 2/13*f**4 + 0 + 0*f + 8/13*f**3.
-2*f**2*(f - 2)**2/13
Let v(a) = -12*a**2 + 4*a + 78. Let n be v(-6). Let i be (-1)/(-18)*n/(-84). Factor -l**2 - i*l**4 + 0*l - l**3 + 0.
-l**2*(l + 2)**2/4
Let x(l) be the first derivative of -l**5 - 85*l**4/2 - 620*l**3 - 3500*l**2 - 7840*l + 716. Factor x(f).
-5*(f + 2)*(f + 4)*(f + 14)**2
Let s(p) = -21*p + 484. Let u(n) = 135*n + 293. Let c be u(-2). Let d be s(c). Suppose -37/4*x**2 - 5*x - d - 9/4*x**4 - 15/2*x**3 = 0. What is x?
-1, -2/3
Find q, given that 216 - 20*q**3 - 12*q - 314*q**2 + 40*q**4 + 4*q**5 - 15*q**2 + 73*q**2 + 19*q**3 + 9*q**3 = 0.
-9, -3, -1, 1, 2
Let m = 846811 - 3387229/4. Let 3*h + 3/4*h**2 - m = 0. What is h?
-5, 1
Let c(z) = -12*z**2 - 25*z + 5. Suppose -22 = 13*l + 17. Let r(g) = -6*g**2 - 13*g + 3. Let v(a) = l*c(a) + 7*r(a). Determine n, given that v(n) = 0.
-3, 1/3
Suppose 20 = -5*f, -5*f = 2*u - f - 82. Let g be 6/1*(u/(-21) + 3). Factor 0*v + 0*v**2 + 0*v**3 + 1/2*v**g + 0.
v**4/2
Let d(g) = 6*g**4 + 3*g**3 - 8*g**2 - 3*g - 5. Let r(s) = s**4 - s**2 - 1. Suppose 17*c + 4*c - 441 = 0. Let m(q) = c*r(q) - 3*d(q). Factor m(v).
3*(v - 2)*(v - 1)**2*(v + 1)
Let y(h) = -10*h**3 - 1080*h**2 + 6125*h + 10. Let d(q) = 7*q**3 + 540*q**2 - 3063*q - 6. Let t(f) = 5*d(f) + 3*y(f). Suppose t(w) = 0. What is w?
0, 6, 102
Let x be (-5)/2*(0/1 + -2). Factor 0*g**2 - 324*g + 0*g**2 + 72*g**3 - 276*g**x + 272*g**5.
-4*g*(g - 3)**2*(g + 3)**2
What is j in -9/2*j**2 - 1/6*j**3 + 22 - 52/3*j = 0?
-22, -6, 1
Let m(b) be the first derivative of -11*b**3 + 323*b**2 + 22671*b + 1629*b + 12*b**3 - 53*b**2 + 244. Determine t, given that m(t) = 0.
-90
Let i(o) = -215*o**3 + o**2. Let r be i(-1). Let t be 0 - 8/(-10) - r/(-180). Factor 0 + 2/3*n**4 + 2*n**t + 8/3*n**3 + 0*n.
2*n**2*(n + 1)*(n + 3)/3
Let o(r) be the third derivative of 1/9*r**5 + 0 + 65*r**2 - 1/180*r**6 + 2*r**3 + 0*r - 3/4*r**4. Determine q, given that o(q) = 0.
1, 3, 6
Let b(p) be the third derivative of p**7/84 + 11*p**6/72 + 13*p**5/24 + 5*p**4/6 - 49*p**3/2 - 62*p**2. Let r(x) be the first derivative of b(x). Factor r(n).
5*(n + 1)*(n + 4)*(2*n + 1)
Suppose -10 = -6*d + 2*d + 2*h, -5*h + 20 = -d. Suppose -3*z - 2 = -d*z. Factor -45*g + 39*g + 6 + 1 + z - 2*g**2.
-2*(g - 1)*(g + 4)
Let u(y) = -27*y**4 - 152*y**3 + 292*y**2 + 32*y. Let x(l) = -10*l**4 - 51*l**3 + 97*l**2 + 12*l. Let k(g) = -3*u(g) + 8*x(g). Factor k(o).
o**2*(o - 2)*(o + 50)
Let j(i) be the second derivative of i**7/105 - 2*i**6/25 - 2*i**5/25 + 17*i**4/15 + 17*i**3/5 + 4*i**2 - 6*i - 72. Factor j(x).
2*(x - 5)*(x - 4)*(x + 1)**3/5
Let v be (-24)/(-77)*(5292/(-156))/(-21). Let f = v - 1/286. Factor 0 - 2/3*u**2 - 1/6*u**5 - 2/3*u + f*u**3 + 1/3*u**4.
-u*(u - 2)**2*(u + 1)**2/6
Suppose -2*i**3 + 2/15*i**5 + 16/5 + 56/15*i + 8/15*i**4 - 28/15*i**2 = 0. Calculate i.
-6, -1, 2
Let h(b) be the second derivative of 1/50*b**5 - 1/10*b**4 - 15 - 3*b + 2/5*b**2 - 1/15*b**3 + 1/75*b**6. Suppose h(t) = 0. What is t?
-2, -1, 1
Let x be (-4)/(-10) + 162/45. Suppose 10*f - 8*f - x = 0. Solve 0*w**f + w**2 + 2*w + 5*w**2 - 4*w**2 = 0.
-1, 0
Let y(f) be the first derivative of -9*f**6/16 + 189*f**5/40 - 9*f**4/2 - 17*f**3/3 + 11*f**2 - 6*f - 1236. Suppose y(z) = 0. What is z?
-1, 2/3, 6
Let j(p) be the second derivative of p**6/45 - 3*p**5/10 - 8*p**4/9 + 20*p**3/3 - 10327*p. Factor j(q).
2*q*(q - 10)*(q - 2)*(q + 3)/3
Let x(v) = 4*v**2 - 71*v - 215. Let c(d) = -2*d**2 + 35*d + 105. Let z(q) = -15*c(q) - 6*x(q). Suppose z(t) = 0. Calculate t.
-5/2, 19
Let a(i) = -2*i**3 + 7*i**2 + 2*i - 11. Let t be a(3). Solve 0*x**4 + 42*x**2 - 5*x**t - 34*x**2 + 7*x**4 + 8*x**3 = 0.
-2, 0
Factor -64 - 36 - 5*a**3 - 12 - 78*a**2 - 38 + 4*a**3 - 227*a.
-(a + 1)*(a + 2)*(a + 75)
Suppose 1/9*a**2 + 2/9*a**3 - 2/9*a - 1/9 = 0. Calculate a.
-1, -1/2, 1
Let q(h) = 33*h**2 + 1194*h + 3501. Let a(o) = 18*o**2 + 597*o + 1749. Let v(t) = 9*a(t) - 5*q(t). Factor v(c).
-3*(c + 3)*(c + 196)
Let n be (0 - -1)*(2/10)/(728/1820). Suppose -14 - 27/2*r + n*r**2 = 0. What is r?
-1, 28
Factor 94*a + 106 + 94 + 2*a**2 - 108.
2*(a + 1)*(a + 46)
Let d(b) = -3*b**3 - 34*b**2 + 32. Let y(p) = -4*p**3 - 35*p**2 + 24. Let n(z) = 3*d(z) - 4*y(z). Factor n(r).
r**2*(7*r + 38)
Let k(u) be the first de