e of s**5/240 + 113*s**4/24 + 12769*s**3/6 - 7*s**2 - 150*s. Determine r so that z(r) = 0.
-226
Let f = 368 + 91. Suppose -468*j = -f*j. Find l such that -4/3*l**2 + 0 + j*l = 0.
0
Determine h, given that 0 + 24/17*h**2 - 2/17*h**3 - 40/17*h = 0.
0, 2, 10
Let l(z) be the second derivative of 5*z**8/336 - 2*z**7/35 + z**6/30 - 86*z**2 - 22*z. Let n(h) be the first derivative of l(h). Factor n(q).
q**3*(q - 2)*(5*q - 2)
Let u(r) be the third derivative of r**8/84 + 4*r**7/35 - r**6/30 - 2*r**5/5 + 22*r**2 + 4*r. Let u(a) = 0. What is a?
-6, -1, 0, 1
Factor 319*a**4 + 385*a**4 - 587*a**5 - 200*a**3 + 573*a**5.
-2*a**3*(a - 50)*(7*a - 2)
Let k(c) be the first derivative of 2*c**3/15 - 19*c**2/5 + 176*c/5 + 23. Suppose k(u) = 0. What is u?
8, 11
Let a be 792/66 + (0 - 9). Let c(d) be the first derivative of -8/3*d**a + 2*d**2 + 8*d - d**4 - 24. Factor c(q).
-4*(q - 1)*(q + 1)*(q + 2)
Let y(u) be the third derivative of u**6/270 - 16*u**5/135 + 14*u**4/27 + 6862*u**2 - u. Factor y(h).
4*h*(h - 14)*(h - 2)/9
Suppose -84*b = -48*b + 180. Let l(k) = k**3 + 5*k**2 - 6*k - 29. Let o be l(b). Factor -1/2*d**2 + o - 1/2*d.
-(d - 1)*(d + 2)/2
Suppose -4*h - 9108 = 2*h - 9120. Suppose 8/9*v + 0 + 8/9*v**h - 8/9*v**4 - 2/3*v**3 - 2/9*v**5 = 0. What is v?
-2, -1, 0, 1
Let n be (-187723)/2866 + 67 + 0. Determine q, given that -3 - 9/2*q - n*q**2 = 0.
-2, -1
Let d be ((-24)/8)/(3/(-9)). Let p be 1/d - (-22)/99. Let 1/12*n**2 + p*n + 1/4 = 0. Calculate n.
-3, -1
Let v be 69/18 - (-17)/(-2907)*57. Let -3 - 1/2*c**4 + 3/2*c**3 + 3/2*c**2 - v*c = 0. What is c?
-1, 2, 3
Suppose 8*z + 219 = -245. Let v = z + 62. Determine f so that -14*f**4 + 6*f**4 + f**5 + v*f**3 - 6*f**2 - 5*f**5 + 14*f**2 = 0.
-2, -1, 0, 1
Factor 10*y**2 + 2/7*y - 10 - 2/7*y**3.
-2*(y - 35)*(y - 1)*(y + 1)/7
Solve 2/3*x**3 + 2184050*x - 2282332250/3 - 2090*x**2 = 0.
1045
Suppose -125*w - 4*j = -122*w + 7, -4*w = -3*j - 24. Factor -18*s - 30 + s**2 + 13*s + s**2 + w*s**2.
5*(s - 3)*(s + 2)
Suppose -30*x - 18*x = -53*x + 10. Factor -15/7 + 16/7*q - 1/7*q**x.
-(q - 15)*(q - 1)/7
Let t(l) be the third derivative of l**5/20 - 29*l**4/8 + 95*l**3 + 2138*l**2. Let t(v) = 0. Calculate v.
10, 19
Let l be (-23)/(-5) + (-6)/10. Factor -6*p**4 + 3*p**4 - 12*p**3 + 33*p**2 - 18*p + 0*p**l.
-3*p*(p - 1)**2*(p + 6)
Let b(y) = -26*y + 196. Let t be b(5). Solve -8*z**2 + t - 135*z + 2*z**2 + 78*z**2 - 3*z**3 = 0.
1, 22
Suppose f = -5*p + 95 + 190, -5*f + 2*p = -1236. Let -f - 2/5*d**2 + 20*d = 0. Calculate d.
25
Let y(p) be the third derivative of p**6/180 - 13*p**5/90 - 23*p**4/18 - 32*p**3/9 - 1149*p**2. Suppose y(a) = 0. Calculate a.
-2, -1, 16
Factor 138*t + 2*t**2 + 2040 - 1010 - 1170.
2*(t - 1)*(t + 70)
Let v(a) = -20*a**5 - 49*a**4 + 28*a**3 + 10*a**2. Let k(z) = -10*z**5 - 24*z**4 + 15*z**3 + 6*z**2. Let h(l) = -5*k(l) + 3*v(l). Let h(j) = 0. What is j?
-3, 0, 3/10
Let v(f) be the third derivative of -f**5/60 - 623*f**4/24 + 104*f**3 - 326*f**2 + 2*f + 4. Factor v(j).
-(j - 1)*(j + 624)
Let n(x) = -63*x**2 + 469*x + 476. Let h(u) = 15*u**2 - u - 2. Let k(m) = -4*h(m) - n(m). Factor k(p).
3*(p - 156)*(p + 1)
Let b(g) be the third derivative of g**7/210 + 7*g**6/40 + 19*g**5/60 - 7*g**4/8 - 10*g**3/3 - 8*g**2 + 9*g. Factor b(q).
(q - 1)*(q + 1)**2*(q + 20)
Let i = -2144 - -42889/20. Let h = i + -1/5. Factor 0 - 1/4*u**3 + 1/2*u**2 - h*u.
-u*(u - 1)**2/4
Let c(p) be the second derivative of -p**7/21 + 79*p**6/15 + 161*p**5/10 + 27*p**4/2 + 10*p + 40. Factor c(f).
-2*f**2*(f - 81)*(f + 1)**2
Suppose 0 + 0*a + 0*a**2 + 45/4*a**4 - 21/4*a**5 - 6*a**3 = 0. What is a?
0, 1, 8/7
Let b be ((-45)/(-12) - 3/(-12)) + 2. Suppose 0 = 3*d - b*c + 9*c - 60, -4*c = 5*d - 98. Factor -4*q**3 + 10*q**2 - 13*q**4 - 11*q**3 + d*q**4.
5*q**2*(q - 2)*(q - 1)
Suppose -96*h + 95*h + 4 = 0. Factor -1728*j**3 - 6912*j**2 - 84*j**5 + 80*j**5 - 132*j**h - 12*j**4.
-4*j**2*(j + 12)**3
Let c be -13*2*(-11)/(-88)*-20. Suppose -c + 65 = -3*o. Suppose o + 0*f**3 - 2/7*f + 4/7*f**4 + 2/7*f**5 - 4/7*f**2 = 0. What is f?
-1, 0, 1
Factor 2/15*b**5 + 2/15*b**4 - 4/15*b + 0 - 2/3*b**2 - 2/5*b**3.
2*b*(b - 2)*(b + 1)**3/15
Suppose -389*z = -49*z - 273 - 407. Find y, given that 55/3*y**4 + 100/3 - 5/3*y**5 + 385/3*y**z - 320/3*y - 215/3*y**3 = 0.
1, 2, 5
Let k = -150 - -152. Suppose o**3 - k*o - 63*o**2 + 0*o + 62*o**2 = 0. Calculate o.
-1, 0, 2
Let w = -465002 + 465004. Let b = 1847/9 + -205. Factor -2/9*f**w - 2/9*f**3 + b*f + 2/9.
-2*(f - 1)*(f + 1)**2/9
Let g = 7713 + -7708. Let c(a) be the third derivative of 21*a**2 - 7/12*a**4 - 1/24*a**g + 0*a + 0 + a**3. Factor c(p).
-(p + 6)*(5*p - 2)/2
Let z(m) = -6*m**2 - 6*m + 5. Let i(k) = 3*k**2 + 3*k + 6. Let c(y) = y**2 + y + 3. Let j(q) = 9*c(q) - 4*i(q). Let s(w) = 5*j(w) - 3*z(w). Factor s(n).
3*n*(n + 1)
Let j be 11/((-264)/144) + (-1 - -16). Let h(p) = -5*p - 76. Let n be h(-20). Find t such that j + 69/4*t**2 - 9/4*t**3 - n*t = 0.
2/3, 1, 6
Suppose -2143*v + 2154*v = 121. Let y(w) = -w**3 + 10*w**2 + 10*w + 23. Let q be y(v). Find z such that -408*z - q - 29478*z**3 - 250563/4*z**4 - 5202*z**2 = 0.
-2/17
Factor -67*w**2 + 193*w**2 - 63*w**2 + 2448 - 67*w**2 - 804*w.
-4*(w - 3)*(w + 204)
Let d(a) = 5*a**2 - 26*a - 44. Let i(s) = 12*s**2 - 53*s - 88. Let u(w) = -7*d(w) + 3*i(w). Let t be u(-21). Factor 4/3*x + 8/9*x**3 + 2/9 + 2*x**t.
2*(x + 1)**2*(4*x + 1)/9
Let y(l) = 14 + 3*l + 23 - 7*l**3 - 34 - 3*l**2. Let d(b) = 5*b**3 + 3*b**2 - 2*b - 2. Let t(m) = 3*d(m) + 2*y(m). Factor t(u).
u**2*(u + 3)
Let x(p) be the first derivative of 1/3*p**3 + 29 + 0*p + 0*p**2 + 1/10*p**5 + 3/8*p**4. What is b in x(b) = 0?
-2, -1, 0
Suppose 0 = 5*a - 36 + 66. Let z(o) = o**2 + 4*o - 10. Let n be z(a). Factor 0*d - 2*d + 4*d**3 - n*d.
4*d*(d - 1)*(d + 1)
Let y(o) = 13*o + 94. Let w be y(-7). Factor -5*l**3 + 1766*l**2 - 1775*l**2 - l**w + 3*l**4.
3*l**2*(l - 3)*(l + 1)
Suppose 6052*o = 6022*o + 21 + 69. Let v(z) be the first derivative of 9/2*z**2 + o*z + 3*z**3 - 3 + 3/4*z**4. Determine m, given that v(m) = 0.
-1
Let y(f) be the second derivative of f**7/168 - f**6/30 + f**5/40 + f**4/12 - f**3/8 - 2538*f. Find w such that y(w) = 0.
-1, 0, 1, 3
Let w(f) = 369*f - 48. Let p be w(13). Suppose 10*l**2 + 45*l**5 - 32*l**3 - 4649*l**4 + 97*l**3 + p*l**4 = 0. Calculate l.
-1, -2/9, 0
Suppose -10 = z + 8. Let a be (720/300)/(z/(-80)). Find l such that 22/3*l**2 + 4/3*l + a*l**3 + 14/3*l**4 + 0 = 0.
-1, -2/7, 0
Let 105/4*o - o**2 + 1/4*o**5 + 18 - 17/2*o**3 + o**4 = 0. Calculate o.
-8, -1, 3
Let i(h) be the first derivative of h**5/270 - h**2 + 138*h + 81. Let q(w) be the second derivative of i(w). Factor q(b).
2*b**2/9
Let h be (8 + -55)*10/(-235). Solve 5/2*y - 5*y**3 + 5/2*y**5 + 5/2 - 5*y**h + 5/2*y**4 = 0 for y.
-1, 1
Solve 0 + 13778/21*q**2 + 334/21*q**4 + 14110/21*q**3 + 0*q + 2/21*q**5 = 0.
-83, -1, 0
Suppose 138*w - 144*w + 12 = 0. Factor 6 - 14 - 4 - 7*y**w + 690*y - 674*y + y**3.
(y - 3)*(y - 2)**2
Let b(c) = 72*c**2 + 28512*c + 27978. Let m(s) = 10*s**2 + 4070*s + 3997. Let q(a) = -3*b(a) + 22*m(a). Find o, given that q(o) = 0.
-1000, -1
Let x = -176 + 252. Suppose 0 = 12*s + 28 - x. Factor -2/3*w**2 + s*w - 6.
-2*(w - 3)**2/3
Let d(t) be the second derivative of 1/14*t**7 + 105/2*t**3 + 81/10*t**5 + 54*t**2 + 6/5*t**6 + 28*t**4 + 78*t - 2. Find b such that d(b) = 0.
-4, -3, -1
Suppose -24*v + 493 = 37. Factor v*r**2 + 24*r**3 + 19*r**2 - 10*r**4 + 7*r + 20*r**2 + r**5 + 22*r**2 - 102*r**2.
r*(r - 7)*(r - 1)**3
Let v(r) = -14*r**3 - 283*r**2 - 2720*r - 11210. Let j(p) = -22*p**3 - 434*p**2 - 4080*p - 16816. Let c(s) = 5*j(s) - 8*v(s). Determine o, given that c(o) = 0.
-20, -7
Let r = 25 + -19. Factor -9*t**3 - r + 4*t**4 + 11*t**3 - 23*t**3 + 21*t + 11*t**4 - 9*t**2.
3*(t - 1)**2*(t + 1)*(5*t - 2)
Let a(n) be the third derivative of -n**8/840 + 41*n**7/525 - 223*n**6/300 + 467*n**5/150 - 106*n**4/15 + 28*n**3/3 + 52*n**2 - 20. Let a(g) = 0. What is g?
1, 2, 35
Let j(z) be the second derivative of 0*z**3 - 14*z + 0*z**2 - 1 - 2/105*z**6 - 4/21*z**4 + 4/35*z**5. Factor j(y).
-4*y**2*(y - 2)**2/7
Let t = 858518/751191 - 2/107313. Suppose -t*p + 6/7 + 2/7*p**2 = 0. What is p?
1, 3
Let h(w) be the third derivative of w**5/120 + 139*w**4/24 + 19321*w**3/12 + w**2 + 170. What is x in h(x) = 0?
-139
Let f(a) b