 2*o**6/3 - 36*o**5/5 - 14*o**4 + 48*o**3 + 80*o**2 - 1552. What is i in w(i) = 0?
-2, -1, 0, 2, 10
Let b(n) be the third derivative of -810*n**7/7 - 747*n**6/2 - 5629*n**5/20 + 581*n**4/4 - 49*n**3/2 + 3*n**2 - 2*n - 68. Factor b(r).
-3*(r + 1)**2*(90*r - 7)**2
Let l(y) be the first derivative of 0*y + 1 - 6/7*y**2 + 1/7*y**3 + 3/7*y**4 - 3/35*y**5. Factor l(f).
-3*f*(f - 4)*(f - 1)*(f + 1)/7
Let s(m) be the third derivative of 0*m**5 - 1/2*m**3 + 0 + 1/70*m**7 + 31*m**2 - 2*m + 1/20*m**6 - 1/4*m**4. Solve s(z) = 0 for z.
-1, 1
Suppose -12*l - 2*n = -614 + 170, -n - 207 = -5*l. Suppose -3/2*s**2 + l*s - 72 = 0. What is s?
2, 24
Let q(a) be the third derivative of 3*a**3 + 5/8*a**4 + 0 + 1/20*a**5 - 3*a + 69*a**2. Let q(u) = 0. Calculate u.
-3, -2
Let n(q) = 4*q**2 + 4167*q + 1098309. Let w(b) = -4*b**2 - 4162*b - 1098310. Let f(u) = 6*n(u) + 5*w(u). Factor f(m).
4*(m + 524)**2
Let q(r) be the second derivative of -r**4/15 - 308*r**3 - 533610*r**2 + 128*r - 11. Factor q(d).
-4*(d + 1155)**2/5
Let v(q) be the first derivative of -2*q**3/33 + 170*q**2/11 - 157. Factor v(t).
-2*t*(t - 170)/11
Let u = -118090 - -118094. Factor 18/5 - 11/5*v**3 - 9*v + 1/5*v**u + 37/5*v**2.
(v - 6)*(v - 3)*(v - 1)**2/5
Let j = -268 - -270. Factor 121*d**2 - 65*d**j - 2*d**4 + d**4 - 52*d**3 - 3*d**4.
-4*d**2*(d - 1)*(d + 14)
Factor -2/7*a**4 - 628/7*a**3 + 5120/7 - 7664/7*a + 3816/7*a**2.
-2*(a - 2)**3*(a + 320)/7
Let l(d) = -d**2 - 20*d - 95. Let t be l(-12). Let u(h) be the first derivative of 7/6*h**2 - 1/4*h**4 + 1/3*h**3 + t + h - 2/15*h**5. Factor u(m).
-(m + 1)**3*(2*m - 3)/3
Let w(u) be the third derivative of -u**7/840 + u**6/160 - u**5/240 - u**4/32 + u**3/12 - 1455*u**2. Find d, given that w(d) = 0.
-1, 1, 2
Let o = -26/79691 + 3347152/398455. Suppose 3/5*p**2 + o + 27/5*p = 0. Calculate p.
-7, -2
Suppose 3*h + 4 = d, 23 = -h - d - 3*d. Let k be (3*2/h + -17)*-1. Determine w, given that k*w**3 + 17*w**3 - 8*w**3 - 214*w**4 + 232*w**4 + 2*w**5 = 0.
-7, -2, 0
Let h(f) be the first derivative of f**5/4 + 5*f**4/4 + 126*f + 3. Let s(k) be the first derivative of h(k). Factor s(n).
5*n**2*(n + 3)
Let u(y) be the third derivative of -y**7/1120 - y**6/480 + y**5/80 - 95*y**3/6 - y**2 - 4. Let l(c) be the first derivative of u(c). Factor l(i).
-3*i*(i - 1)*(i + 2)/4
Let t = 934/77 + -115684/231. Let g = -488 - t. Factor 14/3*v - 2 - 10/3*v**2 + g*v**3.
2*(v - 3)*(v - 1)**2/3
Find o, given that -8897*o**2 - 2 + 177*o**3 + 4 + 8321*o**2 - 3*o**5 - 6*o**4 - 2 + 540*o = 0.
-10, 0, 2, 3
Let r be (258/473)/((-114)/(-88)). Suppose -t = -4*t + 6. Solve -r - 4/19*j**t - 14/19*j + 2/19*j**3 = 0.
-1, 4
Let t(j) be the third derivative of -j**5/45 - 209*j**4/18 + 140*j**3/3 - 1462*j**2. Find r, given that t(r) = 0.
-210, 1
Factor 11/3*j**2 - 86/3*j - 16/3.
(j - 8)*(11*j + 2)/3
Find g, given that -41/3*g**2 + 181/3*g**3 + 41/3*g**4 - 60*g + 0 - 1/3*g**5 = 0.
-4, -1, 0, 1, 45
Let i(n) be the third derivative of -n**6/360 + n**4/6 - 23*n**3/6 + 59*n**2 - 2*n. Let f(p) be the first derivative of i(p). Determine q so that f(q) = 0.
-2, 2
Factor 4/3*b**2 + 1240*b - 3724/3.
4*(b - 1)*(b + 931)/3
Let b(y) be the first derivative of 55 + 5*y + 10*y**2 - 25/3*y**3. Factor b(i).
-5*(i - 1)*(5*i + 1)
Suppose -2*l + 5*w + 41 = 0, 34 = 3*l - 4*w + 2*w. Determine j, given that -l*j**3 - 6*j**2 - 6*j**2 + 12*j**3 - 5 - 15 - 36*j = 0.
-1, 5
Let i be ((-6693)/(-414) - 12)/((-10)/(-4)). Let w be (-2 + 17)*20/18. Factor -i*g**2 + 0 + w*g.
-5*g*(g - 10)/3
Suppose 0 = 2*w + 26 - 28. Let y(n) = n**3 + n**2 - n. Let s(q) = -3*q**3 - 28*q**2 - 47*q. Let u(t) = w*s(t) - 2*y(t). Determine x so that u(x) = 0.
-3, 0
Suppose 0 = -58*a + 32*a + 52. Let b(d) be the first derivative of 3*d**4 - 8/5*d**5 + 0*d - 8*d**a - 2/3*d**6 - 37 + 16/3*d**3. Factor b(n).
-4*n*(n - 1)**2*(n + 2)**2
Factor m**3 - 41*m + 6494*m**2 + 6515*m**2 - 12992*m**2 - 57.
(m - 3)*(m + 1)*(m + 19)
Let m(x) be the first derivative of -12*x**3 - 46*x**2 + 48*x - 1826. Factor m(v).
-4*(v + 3)*(9*v - 4)
Let n be (-5 - (391/(-138) - (0 + 2)))*-32. Factor 0*b**2 + 2/3*b**5 + 0 + 0*b**4 + 32/3*b - n*b**3.
2*b*(b - 2)**2*(b + 2)**2/3
Let b(y) be the third derivative of 0*y**4 + 0 + 0*y + 6/5*y**6 + 4/7*y**7 + 0*y**3 + 8/15*y**5 - 78*y**2 - 25/84*y**8. Factor b(w).
-4*w**2*(w - 2)*(5*w + 2)**2
What is s in -15*s - 1/2*s**2 - 88 = 0?
-22, -8
Let r be ((-42)/(-6) - 4 - 0) + -11. Let m be (r - 180/(-25))*-5. Factor -5*b**2 + 7/3*b + 13/3*b**3 - 1/3 - 4/3*b**m.
-(b - 1)**3*(4*b - 1)/3
Suppose -4*n + 3*n - 7 = c, -2*n = -4*c - 16. Let u(r) = 5*r**2 + 5*r - 5. Let j(s) = s**3 - 6*s**2 - 3*s + 4. Let d(t) = c*j(t) - 4*u(t). Solve d(f) = 0 for f.
0, 1
Let p(w) = -5*w**3 + 110*w**2 + 956*w + 1532. Let z(c) = 42*c**3 - 882*c**2 - 7647*c - 12255. Let u(x) = 33*p(x) + 4*z(x). Factor u(r).
3*(r + 2)*(r + 16)**2
Let y(o) = o**2. Let f(u) be the first derivative of -104*u**3/3 - 80*u**2 - 64*u - 12. Let j(h) = f(h) + 4*y(h). Find r such that j(r) = 0.
-4/5
Let p(h) be the third derivative of 10/3*h**3 - 95 + 5/8*h**4 + 0*h - 1/12*h**5 - 2*h**2. Factor p(w).
-5*(w - 4)*(w + 1)
Let u(c) = c**2 + 26*c - 30. Let o(q) = 1. Let x(t) = 6*o(t) + u(t). Let g be x(-27). Let 4025 + 2*f + f**3 + g*f**2 - 4025 = 0. What is f?
-2, -1, 0
Factor 608/5*s - 2/5*s**2 - 46208/5.
-2*(s - 152)**2/5
Determine b so that 284/3*b - 569/6 + 1/6*b**2 = 0.
-569, 1
Let m(b) be the second derivative of b**5/40 + 35*b**4/12 + 34*b**3/3 - 346*b - 1. Factor m(x).
x*(x + 2)*(x + 68)/2
Suppose 127 = -2*x + 565. Factor -8*l**2 - 16*l**4 + 1 - 199*l**3 - 1 + x*l**3 + 4*l**5.
4*l**2*(l - 2)*(l - 1)**2
Let u be (4/2 + -2)/(1467 - 1473). Factor -3/7*w**3 + u*w + 60/7*w**2 + 0.
-3*w**2*(w - 20)/7
Let d(j) be the second derivative of -j**4/8 - 73*j**3/4 - 997*j - 2. Solve d(a) = 0.
-73, 0
Find o, given that 0 + 2/9*o**3 - 10/9*o**2 - 4/3*o = 0.
-1, 0, 6
Let c(p) be the second derivative of p**4/42 + 47*p**3/21 + 6*p - 105. Determine t, given that c(t) = 0.
-47, 0
Let y(u) be the second derivative of 13*u**5/70 + 5*u**4/6 + 6*u**3/7 - 727*u. Factor y(p).
2*p*(p + 2)*(13*p + 9)/7
Let o be 3 - 60/19 - 42/(-266). Let -2*u**3 - 4/17*u**2 + 2*u**5 + 4/17*u**4 + o + 0*u = 0. Calculate u.
-1, -2/17, 0, 1
Let n(f) be the third derivative of 0 + 11/24*f**3 - 1/240*f**5 - 5/48*f**4 - 50*f**2 + 0*f. Determine w, given that n(w) = 0.
-11, 1
Let x(t) = -184*t**2 - 215*t**2 + 84*t**2 - 120*t**2 + 74*t + 37*t**3. Let c(l) = -73*l**3 + 870*l**2 - 149*l. Let j(h) = -4*c(h) - 7*x(h). Factor j(m).
3*m*(m - 13)*(11*m - 2)
Let s(g) = g**3 - 12*g**2 + g - 3. Let z be s(12). Suppose -5*t = -z*t + 36. Factor -1 + n - n**3 + n**2 - 5*n**2 + t - 4.
-(n - 1)*(n + 1)*(n + 4)
Let x(b) be the third derivative of -2/3*b**3 + 0 + 1/60*b**5 - 1/8*b**4 + 0*b - 38*b**2. Find i such that x(i) = 0.
-1, 4
Let h(x) be the first derivative of -2*x**5/5 - 4*x**4 + 20*x**3 + 224*x**2 - 490*x + 1412. Factor h(b).
-2*(b - 5)*(b - 1)*(b + 7)**2
Let a(c) be the third derivative of 6*c + c**3 - 1/40*c**6 - 9/80*c**5 + c**2 + 15/16*c**4 + 0. Suppose a(h) = 0. Calculate h.
-4, -1/4, 2
Let i = 540 - -4. Suppose 13*g + 8 - 34 = 0. Let 3*s**g + 2*s + i - 112 - 60*s - 14*s = 0. What is s?
12
Let f(k) be the first derivative of 32*k + 267 - 18*k**2 - 5/3*k**3. Factor f(b).
-(b + 8)*(5*b - 4)
Let u(a) be the third derivative of 13*a**5/210 + 107*a**4/42 + 32*a**3/7 - 2263*a**2. Suppose u(i) = 0. Calculate i.
-16, -6/13
Let -16596*n + 2*n**5 + 1116*n + 85*n**4 - 24*n**4 + 113*n**4 + 3862*n**3 - 14792 + 3002*n**2 = 0. Calculate n.
-43, -2, -1, 2
Let o(v) = 6*v - 172. Let g be o(29). Suppose -5*y + 3*q + 8 = 2*q, -3*y = q - 8. Factor -4*s**g + 5*s + y*s**2 + 0*s + 11*s - 32.
-2*(s - 4)**2
Let g(s) be the first derivative of s**6/21 - 262*s**5/35 - 267*s**4/7 - 1612*s**3/21 - 77*s**2 - 270*s/7 + 2327. Find q, given that g(q) = 0.
-1, 135
Let o(g) = -2*g**3 - 8*g**2 + 10*g + 30. Let s be o(-14). Let f be ((-8)/(-6))/(-5*(-4)/s). Factor -12*p**2 - 254*p + 2*p**3 + f*p.
2*p**2*(p - 6)
Let j(i) be the second derivative of i**5/80 - 3*i**4/8 - 85*i**3/8 + 578*i**2 - 416*i + 2. Factor j(s).
(s - 17)**2*(s + 16)/4
Suppose -3*o = 4*i - 324, i + 2*o - 457 = -366. Factor 0 + i*j**5 - 40*j**4 + 0*j + 23/4*j**3 - 1/4*j**2.
j**2*(3*j - 1)*(10*j - 1)**2/4
Factor -2/