-j - 3*u = 26. Let n = j - -24. Suppose -n*l + 0*l - 7*l**3 - 18*l**2 - 7*l**3 = 0. Calculate l.
-1, -2/7, 0
Solve -400/3 - 1/3*o**2 - 40/3*o = 0 for o.
-20
Find n such that -1/6*n**2 - 49/6 - 7/3*n = 0.
-7
Let n(g) be the third derivative of g**8/560 - 9*g**7/350 + 3*g**6/20 - 23*g**5/50 + 33*g**4/40 - 9*g**3/10 + 2*g**2 + 2. Find c, given that n(c) = 0.
1, 3
Factor 344/7*w - 8/7 - 3698/7*w**2.
-2*(43*w - 2)**2/7
Determine v so that -2/7*v**2 - 4/7*v + 0 = 0.
-2, 0
Let n = 136442/318381 + 1/45483. Factor -3*c**3 + 3*c - 18/7 + 15/7*c**2 + n*c**4.
3*(c - 6)*(c - 1)**2*(c + 1)/7
Let g(s) be the second derivative of 3*s**7/70 - 9*s**6/50 - 13*s**5/25 + 17*s**4/15 - 8*s**3/15 + 764*s. Suppose g(x) = 0. What is x?
-2, 0, 1/3, 2/3, 4
Let n = -4 - -11. Let l(r) = r**2 - 6*r. Let b be l(n). Factor -b*t**2 - 6*t + 4*t - 2*t**5 - 5*t**4 + t**5 - 9*t**3.
-t*(t + 1)**3*(t + 2)
Let d(f) be the second derivative of f**4/6 + 80*f**3/3 + 79*f**2 - f + 179. Factor d(z).
2*(z + 1)*(z + 79)
Let r = 24/59 - 63757/236. Let c = r - -270. Determine o, given that -c*o**5 - 11/2*o**3 + 2*o**4 + 7*o**2 - 17/4*o + 1 = 0.
1, 4
Let m(f) be the third derivative of -f**8/504 - f**7/315 + f**6/90 + f**2 - 41*f. Let m(h) = 0. Calculate h.
-2, 0, 1
Let i = 2931 + -2928. Factor 15/2*o + 5/2*o**2 + 25/6 - 5/6*o**i.
-5*(o - 5)*(o + 1)**2/6
Factor -136/11*c - 6/11*c**2 + 46/11.
-2*(c + 23)*(3*c - 1)/11
Let v(g) be the third derivative of g**10/529200 - g**9/211680 - g**8/35280 - 13*g**5/60 + 3*g**2. Let t(j) be the third derivative of v(j). Factor t(h).
2*h**2*(h - 2)*(h + 1)/7
Let t(v) be the third derivative of -25*v**8/1344 + 41*v**7/168 + 67*v**6/160 - 169*v**5/240 - 11*v**4/6 - 3*v**3/2 - 14*v**2 - 3. What is a in t(a) = 0?
-1, -2/5, 1, 9
Let t(g) be the second derivative of 0*g**2 - 1/50*g**5 + 0 + 2/15*g**4 - 1/5*g**3 + 16*g. Let t(y) = 0. Calculate y.
0, 1, 3
Suppose -15 = -u + 278*l - 273*l, 2*u - 6 = 2*l. Determine z, given that 6/13*z**4 + u - 8/13*z**2 - 18/13*z**5 + 16/13*z**3 + 0*z = 0.
-1, 0, 2/3
Let o(i) be the first derivative of 11 + 0*i - 2/15*i**3 + 1/5*i**2. Solve o(w) = 0.
0, 1
Let u(f) = 4*f**2 - 6*f - 9. Let r be u(-4). Let s = -79 + r. Suppose 0*g + 3/2*g**2 + s = 0. Calculate g.
0
Suppose 5*u = 4*r + 2*u + 3, -5*r + 5 = -2*u. What is f in -r + f**2 + f**2 + 1 = 0?
-1, 1
Let u(j) be the third derivative of -1/390*j**6 + 24*j**2 + 1/1365*j**7 - 1/130*j**5 + 0 + 4/39*j**3 + 0*j + 1/39*j**4. Factor u(m).
2*(m - 2)**2*(m + 1)**2/13
Let l(m) = -m**2 + 12*m + 17. Let a(w) = 2*w**2 - 23*w - 34. Let n(t) = 4*a(t) + 9*l(t). Factor n(z).
-(z - 17)*(z + 1)
Let n(y) be the second derivative of -y**4/7 + 17*y**3/21 - 86*y. Suppose n(b) = 0. What is b?
0, 17/6
Solve -20*r + 2/3*r**3 + 0 - 14/3*r**2 = 0 for r.
-3, 0, 10
Suppose -5*t + 3*f = -t - 261, -3*t + 192 = -3*f. Suppose 0 = -3*q + 8*q - 10. Factor q*g - t + 69 + 2*g**2.
2*g*(g + 1)
Let m(j) be the first derivative of -1/10*j**5 + 1/4*j**4 - 1/2*j**2 + 1/2*j + 0*j**3 + 19. Factor m(f).
-(f - 1)**3*(f + 1)/2
Find r, given that 100/11 + 42/11*r**3 - 2/11*r**4 + 246/11*r + 190/11*r**2 = 0.
-2, -1, 25
Let d(o) be the third derivative of 0*o - 1/2*o**3 + 0 - 1/6*o**4 + 1/180*o**6 - 1/60*o**5 - o**2. Let h(u) be the first derivative of d(u). Factor h(n).
2*(n - 2)*(n + 1)
Suppose -2*h - 12*x - 40 = -17*x, -h - 4*x = -32. Factor h + 2/7*f**5 + 8/7*f**4 + 4/7*f**2 + 0*f + 10/7*f**3.
2*f**2*(f + 1)**2*(f + 2)/7
Let k(g) = g - 8. Let z be k(-8). Let y be (4/(-14))/((z/7)/4). What is h in 1/3*h**4 + 0 + 0*h**2 + y*h**3 - 1/6*h = 0?
-1, 0, 1/2
Let x(h) = h**2 + 2*h - 15. Let j be x(3). Determine d, given that -7*d**5 - 17*d + 12*d + j*d**3 + 2*d**5 + 10*d**3 = 0.
-1, 0, 1
Let o = 4652 + -13954/3. Factor 2/9*q**4 + 2/3*q**3 + 0 + 2/9*q + o*q**2.
2*q*(q + 1)**3/9
Let t(m) be the third derivative of -m**6/120 - 7*m**5/60 - m**4/4 - 192*m**2. Factor t(o).
-o*(o + 1)*(o + 6)
Suppose -i - 4 + 6 = 0. Factor -3*f**2 - i - 13 - 115*f + 97*f.
-3*(f + 1)*(f + 5)
Let j(n) be the second derivative of -6*n**3 + 9/5*n**5 + 0 + 19*n - 6*n**2 - 5/4*n**4 + 9/10*n**6. Find z such that j(z) = 0.
-1, -2/3, 1
Let b = -126 + 182. Let r = -56 + b. Find w such that -5/4*w**4 - w**2 + 0*w - 2*w**3 - 1/4*w**5 + r = 0.
-2, -1, 0
Let m be (22/(-88) - 38/(-24))*90/200. Factor -4/5*u - 4/5*u**4 + 4/5*u**2 + m*u**3 + 1/5*u**5 + 0.
u*(u - 2)**2*(u - 1)*(u + 1)/5
Let -12/7*m - 15/7 + 3/7*m**2 = 0. What is m?
-1, 5
Factor 0 - 2*j**2 - 3*j - 1/4*j**3.
-j*(j + 2)*(j + 6)/4
Let k = -263 + 267. Let f(y) be the first derivative of -3 + 1/2*y**2 - 1/10*y**5 + 0*y**3 - 1/4*y**k + 1/2*y. Factor f(w).
-(w - 1)*(w + 1)**3/2
Let i be (-4)/(-8) + 9/6. Suppose -3*s = i*m - 4*m - 22, -3*m = 15. Factor -s*y + 17 - 17 + 2*y**2.
2*y*(y - 2)
Factor 2/5*b**3 + 2/5*b**4 - 2*b - 4/5 - 6/5*b**2.
2*(b - 2)*(b + 1)**3/5
Let u(g) be the third derivative of -g**8/84 + 6*g**7/35 - 4*g**6/5 + 4*g**5/3 - 659*g**2. Solve u(z) = 0 for z.
0, 2, 5
Factor 20*s**3 + 18*s**3 + 2*s**4 + 12*s**2 + 24*s**3 - 54*s**3 - 1 + 3 + 8*s.
2*(s + 1)**4
Let o(j) be the second derivative of 2/5*j**6 + 0*j**2 + 16*j + 0 + 8/3*j**3 + 8/21*j**7 - 17/5*j**5 - 4*j**4. Determine b, given that o(b) = 0.
-2, -1, 0, 1/4, 2
Factor -4050/13 - 2/13*x**2 + 180/13*x.
-2*(x - 45)**2/13
Let 31*r**3 - 36*r**3 + 500 - 117*r - 185*r + 105*r**2 - 298*r = 0. Calculate r.
1, 10
Let b be 16/(-2) + 1/8 + (-87)/(-8). Factor -2/5*n**4 - 6/5*n**b + 0 + 0*n - 4/5*n**2.
-2*n**2*(n + 1)*(n + 2)/5
Let v be ((-25)/(-15))/(130*15/1800). Suppose -v*w - 2/13*w**2 - 50/13 = 0. What is w?
-5
Let v(w) be the third derivative of 1/90*w**5 - 2/9*w**3 + 0*w - 1/36*w**4 + 0 - 10*w**2. Find u such that v(u) = 0.
-1, 2
Let j(v) be the second derivative of v**7/84 - 11*v**6/150 + 13*v**5/200 + 7*v**4/30 - v**3/5 + 10*v - 4. Find u, given that j(u) = 0.
-1, 0, 2/5, 2, 3
Let h(l) be the first derivative of -5*l**6/6 + 7*l**5/5 + 12*l**4 + 20*l**3/3 - 8*l**2 + 397. Suppose h(p) = 0. What is p?
-2, -1, 0, 2/5, 4
Let g(o) = 4*o**2 + 15*o + 6. Let z(x) = x**2 + 2*x. Let u(d) = -3*g(d) + 15*z(d). Factor u(r).
3*(r - 6)*(r + 1)
Let y(b) be the third derivative of -b**7/210 + b**6/120 + b**5/5 - 4*b**2 - 21*b. Factor y(k).
-k**2*(k - 4)*(k + 3)
Let b = 1/6856 - 65167/239960. Let o = 3/10 - b. Factor 2/7*y**2 + 2/7*y - o*y**3 + 0.
-2*y*(y - 1)*(2*y + 1)/7
Let q(c) = -c - 1. Let h be q(-3). Let b = -35 - -41. Factor 2*f**3 + 4*f**2 - 5*f**3 - f**h - b*f**2.
-3*f**2*(f + 1)
Let q(w) be the first derivative of -2*w**5/15 - w**4/6 + 14*w**3/9 + 13*w**2/3 + 4*w - 296. Determine b so that q(b) = 0.
-2, -1, 3
Let u(n) be the third derivative of -1/165*n**6 + 0 - 2/33*n**3 - 2/55*n**5 - 3/44*n**4 - 25*n**2 + 0*n. Find j, given that u(j) = 0.
-2, -1/2
Let c(l) be the second derivative of 28 + 1/98*l**7 + 0*l**2 + 0*l**5 + l + 2/35*l**6 + 0*l**3 + 0*l**4. Solve c(r) = 0 for r.
-4, 0
What is l in -10*l**5 + 8*l**4 + 104/5*l - 44*l**2 - 16/5 + 142/5*l**3 = 0?
-2, 2/5, 1
Let s(t) be the first derivative of -t**5/100 + 2*t**3/5 - 8*t**2/5 + 23*t + 38. Let z(f) be the first derivative of s(f). Determine l so that z(l) = 0.
-4, 2
Let b be 21/((-250)/(-15) - 12). Factor 0*s**3 - 3/2*s**4 + 3*s + b*s**2 + 0.
-3*s*(s - 2)*(s + 1)**2/2
Let b = 7 + -6. Let k be -1*3/(-1) - b. Factor -4*o + 2 + k*o - o + 22*o**3 - 21*o**3.
(o - 1)**2*(o + 2)
Let f be (-1)/(-5 - 332/(-66)). Let h = 38 + f. Factor -2/7*j**h + 2/7 + 10/7*j**4 + 20/7*j**2 - 20/7*j**3 - 10/7*j.
-2*(j - 1)**5/7
Let p = -80256/5 + 16053. Factor -p*c + 2/5 + 9/5*c**3 - 2/5*c**2.
(c - 1)*(c + 1)*(9*c - 2)/5
Suppose 11 = 2*j - 4*w - 19, 40 = 3*j - 5*w. Determine t, given that 15*t**3 - 11*t + 10*t**4 - j - 2*t**2 - 4*t - 3*t**2 = 0.
-1, -1/2, 1
Let r(f) = 2*f**5 - 2*f**3 - f - 1. Suppose 1 = -5*d + 21. Let m(v) = v**5 - v**4 + v + 1. Let q(b) = d*m(b) + 4*r(b). Factor q(l).
4*l**3*(l - 1)*(3*l + 2)
Let k be (5 - 236/48)/(0 - -1). Let b(i) be the third derivative of 0*i + 0*i**3 + 0 + k*i**4 + 1/210*i**7 - 1/60*i**5 - 1/60*i**6 - 5*i**2. Factor b(v).
v*(v - 2)*(v - 1)*(v + 1)
Suppose -c + 23 = -2*v, 2*v - 54 = -3*c + 3*v. Solve -19 - 4*g**3 + 8*g**4 + 4*g + 40 - c - 12*g**2 = 0 for g.
-1, -1/2, 1
Let u = -5983/32 + 187. Let h(n) be the third derivative of 0 + 1/12*n**3 + 1/240*n**5 - u*n**4 + 0*n - 2*n**2. Factor h(w).
(w -