*2 + 22 - 165*z.
5*(z - 8)*(z - 1)
Let y(b) be the third derivative of 0 + 1/6*b**3 + 6*b + 1/12*b**4 + 3*b**2 + 1/60*b**5. Find l such that y(l) = 0.
-1
Let n be 1/3 - ((-294)/9 + -5). What is k in -44*k**2 + n*k**2 - 8 + 8 + 3*k**3 = 0?
0, 2
Let l(i) be the first derivative of i**8/840 - i**7/525 - 3*i**2/2 + 26*i + 65. Let v(y) be the second derivative of l(y). Let v(k) = 0. Calculate k.
0, 1
Suppose -26*x**3 + 70*x**3 + 51*x**3 - 20*x**2 + 7889 - 207*x**3 - 4*x**4 - 42545 + 10792*x = 0. What is x?
-19, 4, 6
Suppose 85 = -14*j + 1219. Factor -69 + 173*w**2 + 174*w**2 - 15*w - 344*w**2 + j*w.
3*(w - 1)*(w + 23)
Let w(n) be the second derivative of -27*n**5/20 + 93*n**4/4 + 148*n**3 + 312*n**2 + n + 972. Factor w(g).
-3*(g - 13)*(3*g + 4)**2
Let c(d) be the first derivative of 245*d**3/3 - 2135*d**2 + 18605*d - 513. What is i in c(i) = 0?
61/7
Let b(l) be the first derivative of -204 + 5/3*l**3 - 55/2*l**2 + 0*l. Solve b(k) = 0.
0, 11
Suppose 0 = -56*x + 25*x - 13020. Let a = 1270/3 + x. Suppose -4/3 - a*w**3 - 14/3*w + 28/3*w**2 = 0. Calculate w.
-1/5, 1, 2
Let o(x) be the third derivative of 20/21*x**3 + 0 + 0*x + 1/210*x**5 + 1/4*x**4 - 216*x**2. Factor o(h).
2*(h + 1)*(h + 20)/7
Suppose 0 = -2*v - 2, -5*h = 5*v - 202 - 198. Let w = 97 - h. Factor -26 - b**2 - 7 + 2*b - w + 12*b.
-(b - 7)**2
Let p(z) be the first derivative of 6*z**4 - 51*z**3 - 51*z**2/2 - 112. Let c(w) = -12*w**3 + 77*w**2 + 25*w. Let s(x) = 9*c(x) + 4*p(x). Factor s(v).
-3*v*(v - 7)*(4*v + 1)
Let y(k) be the first derivative of -k**4/4 - k**3/3 + k**2/2 + k - 1350. Factor y(t).
-(t - 1)*(t + 1)**2
Suppose 318*o**2 - 5*o**4 + 11 - 80*o**4 + 315*o**5 - 35 + 7*o**4 + 108*o - 1287*o**3 = 0. What is o?
-2, -2/7, 1/5, 1/3, 2
Suppose -38 = -u + 2*t, -u - 5 = -t - 40. Determine n so that 14*n**3 + 34*n**2 - 2*n**4 - 23 + 23 + u*n - 14*n = 0.
-1, 0, 9
Let o(q) be the first derivative of q**4/2 + 18*q**3 - 418*q**2 + 2368. Factor o(u).
2*u*(u - 11)*(u + 38)
Let r(u) be the second derivative of 150*u + 16/3*u**2 - 2/15*u**5 + 0 + 1/45*u**6 + 1/126*u**7 + 8/9*u**3 - 4/9*u**4. What is f in r(f) = 0?
-2, 2
Let d = 13312/2921 + -105/23. Let q = d + 263/1143. Let 2/9*r**2 - 2/9*r**3 + 2/9*r - q = 0. What is r?
-1, 1
Let g(o) = 19*o**2 + 614*o - 1837. Let v(w) = -10*w**2 - 308*w + 918. Let k(r) = -6*g(r) - 11*v(r). Suppose k(j) = 0. What is j?
-77, 3
Let w(v) be the first derivative of 9*v**5/5 - 103*v**4/4 + 215*v**3/3 - 157*v**2/2 + 36*v - 2171. Factor w(r).
(r - 9)*(r - 1)**2*(9*r - 4)
Let x(c) = -4235*c + 25412. Let v be x(6). Factor 56/11*a - 8/11*a**v - 98/11.
-2*(2*a - 7)**2/11
Let c be 4/(-3 + 39/9) - -447. Suppose 4*r = 2*q - c, 0*r - 873 = -4*q - r. Determine p so that -1715 - 954*p - 3*p**3 - 2*p**3 - 105*p**2 + q*p = 0.
-7
Factor 2/9*s**2 + 8/3*s - 506/9.
2*(s - 11)*(s + 23)/9
Let k(b) be the first derivative of -b**6/2160 + 7*b**5/360 + 5*b**4/48 - 295*b**3/3 - 220. Let h(q) be the third derivative of k(q). Factor h(w).
-(w - 15)*(w + 1)/6
Factor 1/3*o**2 - 26/3*o - 285.
(o - 45)*(o + 19)/3
Suppose 2*n + 4 = 5*f, 36*f - 31*f = 3*n + 1. Determine q so that -148*q**2 - 140*q**2 + 5*q**4 + 64*q**n - 320 + 512*q - 22*q**4 + 13*q**4 = 0.
2, 10
Let d = -149246/3 - -298501/6. Solve -33*m - d*m**2 + 0 = 0.
-22, 0
Let k(b) be the first derivative of 3*b**5/140 + b**4/4 + 15*b**3/14 + 27*b**2/14 + 38*b - 179. Let i(c) be the first derivative of k(c). Factor i(l).
3*(l + 1)*(l + 3)**2/7
Find s such that 3/7*s**4 + 0*s + 24/7*s**2 - 27/7*s**3 + 0 = 0.
0, 1, 8
Let l(z) be the second derivative of -2*z**7/189 + 46*z**6/45 - 533*z**5/180 - 35*z**4/18 + 67*z**3/6 - 8*z - 91. What is j in l(j) = 0?
-1, 0, 3/2, 67
Let j = -21692 - -21696. Let x(p) be the first derivative of 15/2*p**2 + 5*p + 5/4*p**j + 5*p**3 + 3. Factor x(a).
5*(a + 1)**3
Let k(i) be the third derivative of 88*i**2 + 1/1365*i**7 + 0*i**3 - 1/390*i**5 - 1/78*i**4 + 0 + 0*i + 1/390*i**6. Factor k(l).
2*l*(l - 1)*(l + 1)*(l + 2)/13
Determine g, given that -55*g**2 + 528*g**3 - 1149*g**3 + 576*g**3 - 10*g**4 + 20 = 0.
-2, -1, 1/2
Let j = -102/445 - -649/890. Suppose j*g + 1/2*g**2 - 1 = 0. What is g?
-2, 1
Let 5*z**4 - 1107/5*z + 861/5*z**2 + 486/5 - 53*z**3 = 0. What is z?
1, 9/5, 6
Let b(h) = -3*h**2 - 59*h - 233. Let k be b(-14). Let n(g) be the first derivative of 9*g**2 + 9/8*g**4 - 1/10*g**k - 22 - 14/3*g**3 - 8*g. Factor n(t).
-(t - 4)*(t - 2)**2*(t - 1)/2
Let g be (-5 - (-1036)/8)*4. Let -2*l**3 - 168 - 166 - 162 + 2*l + g - 2*l**2 = 0. Calculate l.
-1, 1
Suppose 0 = 8*o - 5*o - 27. Let u = -1 + o. Factor u - 4*a**3 + 10*a**3 - 12*a - 2*a**3.
4*(a - 1)**2*(a + 2)
Determine o so that 40/11*o**2 - 20/11 - 4/11*o**3 + 2/11*o + 2/11*o**5 - 20/11*o**4 = 0.
-1, 1, 10
Let f(w) be the third derivative of -w**7/210 - 29*w**6/120 - 32*w**5/15 - 49*w**4/6 - 16*w**3 - 108*w**2 - 2. Suppose f(n) = 0. Calculate n.
-24, -2, -1
Let n be 2660/456*(-2)/(-10). Let r(h) be the third derivative of 32*h**2 + n*h**3 + 1/30*h**5 + 0*h + 0 - 3/8*h**4. Let r(a) = 0. What is a?
1, 7/2
Let c be ((-878)/25)/((-19)/((-665)/(-812))). Let v = c - 2/145. Solve v*b**2 + 3*b**4 + 21/4*b**3 - 3/4*b + 0 = 0 for b.
-1, 0, 1/4
Let h = 957 - 953. Let j(z) be the third derivative of 0 + 1/20*z**5 - 1/70*z**7 - 1/4*z**h + 2*z**2 + 0*z**3 + 0*z + 1/20*z**6. Suppose j(p) = 0. What is p?
-1, 0, 1, 2
Let 12*d**2 - 29 + 139*d**2 + 26*d**2 + 31 - 355*d = 0. Calculate d.
1/177, 2
Let x be (1/(-3) - 0)*-9. Suppose x*t = 3*w + 2 + 4, 5*w = t + 6. Let -2/9 - 2*l**w - 4/3*l = 0. What is l?
-1/3
Let j be (-36)/3714*6/(-90)*926. Let y = j + 1/619. What is d in 0 + y*d**3 - 1/5*d**4 + 1/5*d**2 - 3/5*d = 0?
-1, 0, 1, 3
Let q = 73 - -38. Factor -2720*x - 115*x**4 + 1605*x**2 - 116*x**4 - 170*x**3 + 1280 - q*x**4 + 347*x**4.
5*(x - 16)**2*(x - 1)**2
Let s be (-770)/20 - -20 - -19. Find b such that -2*b**2 + 1/4*b**5 + b**4 + 1/4*b - s*b**3 + 1 = 0.
-4, -1, 1
Let r(u) be the third derivative of -u**6/300 + 19*u**5/30 + 197*u**4/60 - 97*u**3/5 + 399*u**2 + 2. Factor r(x).
-2*(x - 97)*(x - 1)*(x + 3)/5
Let c be (9702/567)/(-77) - (0 - 16/18). Suppose -2/3*i**3 + 2/3*i + c*i**4 + 4 - 14/3*i**2 = 0. Calculate i.
-2, -1, 1, 3
Let u(r) = r**3 + 3*r**2 + r + 2. Suppose -3*n + 6 = -6*n. Let y be u(n). Factor -8*p**3 - 2*p + y - 3 + 10*p**3 + 0 - p**4.
-(p - 1)**3*(p + 1)
Let g = -396462 - -396465. Determine f so that 6*f**2 + 2/3*f**g - 6 - 2/3*f = 0.
-9, -1, 1
Let p(z) be the second derivative of z**5/100 - 43*z**4/60 + 176*z**3/15 - 5*z - 216. What is j in p(j) = 0?
0, 11, 32
Let u = -4918 + 4923. Let l(s) be the third derivative of -1/630*s**7 - 125/72*s**4 + 0 - 1/24*s**6 - 10*s**2 + 0*s - 5/12*s**u + 0*s**3. Solve l(n) = 0 for n.
-5, 0
Let f(l) be the first derivative of l**3/9 - 13*l**2/6 - 30*l - 1048. Find b such that f(b) = 0.
-5, 18
Suppose -44*z + 41 = -32 - 14 - 1. Factor 51/4*q - 9/2 - 15/4*q**z.
-3*(q - 3)*(5*q - 2)/4
Suppose -13*k - 2823 = 310. Let m = 243 + k. Factor 24/7*y + 2/7*y**3 + 12/7*y**m + 16/7.
2*(y + 2)**3/7
Let c(m) be the third derivative of m**5/30 + 253*m**4/12 + 84*m**3 + 3028*m**2. Find o such that c(o) = 0.
-252, -1
Let q be ((-78)/5824)/(3/48*-4). Let l(v) be the third derivative of 0*v**3 + 1/168*v**6 - 1/1470*v**7 - 16*v**2 + 0*v + 0 - q*v**4 - 1/140*v**5. Factor l(k).
-k*(k - 3)**2*(k + 1)/7
Let h = 46697297/27469010 + 2/2746901. Factor -43/10*k**2 + 0 + 7/5*k + 9/2*k**3 + 1/10*k**5 - h*k**4.
k*(k - 14)*(k - 1)**3/10
Let g be ((-26418)/(-196))/37*7 + -24. Solve g*r**3 - 9/2*r**2 + 9/2*r - 3/2 = 0.
1
Let t(i) = -i**3 + 20*i**2 - 80*i + 46. Let z be t(13). Let h be (-1 + -1 - -5)/(z/126). Solve -8/5*u - 4/5*u**4 + 12*u**3 - 4*u**5 + 0 - 28/5*u**h = 0 for u.
-2, -1/5, 0, 1
Let k(s) be the third derivative of s**7/1050 + 323*s**6/300 + 34991*s**5/100 + 52003*s**4/30 + 51842*s**3/15 - 1104*s**2. Find f, given that k(f) = 0.
-322, -1
Factor 71/3*t + 1/3*t**3 - 56/3 - 16/3*t**2.
(t - 8)*(t - 7)*(t - 1)/3
Let m(n) be the first derivative of 75/14*n**2 + 6/7*n**6 - 111/28*n**4 + 33/35*n**5 - 9/7*n**3 - 237 - 6/7*n. Determine s, given that m(s) = 0.
-2, -1, 1/12, 1
Suppose -85 = -7*y + 405. Determine u, given that -y*u - 9*u**2 + 10 + 50*u - 59*u + 8 = 0.
-9, 2/9
Suppose 11*v - 75 = 6*v. Let r = -6 + v. Determine d so that -4*d - 3*d**2 - 130*d**3 - r*d*