- r*n**2 = 0.
-1, 1
Let i(m) be the second derivative of m**9/5040 - 3*m**8/2240 - m**7/210 + 3*m**4 - m**3/3 - 26*m. Let f(j) be the third derivative of i(j). Factor f(v).
3*v**2*(v - 4)*(v + 1)
Suppose -z + 4*l = -35, 0 = -404*z + 401*z - 4*l - 23. Solve 16/7*h**2 - 20/7 + 4/7*h**4 - 24/7*h**z + 24/7*h = 0 for h.
-1, 1, 5
Suppose u - 4*x = -7*x - 21, -2*u - 70 = -x. Let w = -16 - u. Solve 15*l**2 - 20*l**4 - 5 - 7 + w*l**4 = 0 for l.
-2, -1, 1, 2
Let w(o) = o**2 - 5*o + 10. Let u be w(3). Suppose u*g + 0*g - 120 = 0. Find t, given that -2*t**2 + 62*t**3 - 48*t**3 - 3*t**5 - g*t**4 + 21*t**5 = 0.
0, 1/3, 1
Suppose p + 4*s - 555 = 0, 8*s - 3*s = 4*p - 2220. Suppose -3*r**4 - 24*r + 9 - 275*r**3 - 274*r**3 + 9*r**2 + p*r**3 + 3 = 0. Calculate r.
-2, 1, 2
Let s(y) be the second derivative of y**7/483 + y**6/23 - 17*y**5/115 + y**4/69 + 11*y**3/23 - 17*y**2/23 - 4541*y. Find k such that s(k) = 0.
-17, -1, 1
Let p(u) be the first derivative of -2*u**6/3 + 16*u**5/5 - 56*u**3/3 + 34*u**2 - 24*u + 1776. Factor p(r).
-4*(r - 3)*(r - 1)**3*(r + 2)
Let j(k) = k**3 + k - 1. Let f(g) = -g + 9. Let q be f(8). Let r be j(q). Suppose -1 - 2*u**2 + 5*u**4 + r - 3*u**4 = 0. Calculate u.
-1, 0, 1
Let i(z) be the third derivative of 0*z**3 - 42*z**2 - 1/6*z**6 - 8/105*z**7 - 2/15*z**5 + 0 - 1/84*z**8 + 0*z + 0*z**4. What is g in i(g) = 0?
-2, -1, 0
Let y(t) = t**2 + 1. Let h(b) = -3 - 21*b - 8 - 18*b**2 + 1 + 26*b**2. Let r(p) = -h(p) - 4*y(p). Determine d, given that r(d) = 0.
-1/4, 2
Let u be (1026/63 + -18)/(20/(-350)). Factor -6*r**3 - 6 - u*r - 51/2*r**2.
-3*(r + 2)**2*(4*r + 1)/2
Determine w, given that 140/3*w**2 - 64/3 - 20/3*w**5 - 76/3*w**4 - 32/3*w + 52/3*w**3 = 0.
-4, -1, -4/5, 1
Suppose 0*y + 6 = -4*m - 2*y, 2*m - 4*y = 12. Suppose 2*i + 3*b - 7 = 0, 69 = -5*b + 74. Factor -5/4*q**i + 1/4*q + q**3 + m.
q*(q - 1)*(4*q - 1)/4
Let l(s) = 20*s + 140. Let f be l(-7). Suppose 0 = -5*c + 13 + 2. Factor 0*o**2 + c*o**2 - 3*o - 2*o**2 - 10 + f*o.
(o - 5)*(o + 2)
Let x(f) be the first derivative of 4/3*f**3 + 0*f + 169 - 2/5*f**2 - 17/20*f**4 + 4/25*f**5. Factor x(h).
h*(h - 2)**2*(4*h - 1)/5
Let h(u) = 7*u. Let z be h(-5). Let m = 45 + z. Find i such that -m*i**2 + 6*i**4 - 10*i + 6*i - 4*i**3 - 4*i**2 + 0*i = 0.
-1, -1/3, 0, 2
Let t(y) be the third derivative of y**5/180 + 5*y**4/4 - 392*y**3/9 - 3*y**2 - 57*y. Find x, given that t(x) = 0.
-98, 8
Let h(m) be the third derivative of 0*m + 8 + 13/21*m**4 - 16/7*m**3 - 3/35*m**5 + 2*m**2 + 1/210*m**6. Factor h(u).
4*(u - 4)*(u - 3)*(u - 2)/7
Let v(b) be the first derivative of -4*b**5/5 + 653*b**4/2 + 218*b**3 - 5363. Factor v(j).
-2*j**2*(j - 327)*(2*j + 1)
Let k(s) be the third derivative of -1/6*s**3 + 1/9*s**4 + 0 - 1/30*s**5 + 1/630*s**7 - 63*s**2 + 0*s + 0*s**6. Factor k(r).
(r - 1)**3*(r + 3)/3
Let d(p) be the first derivative of -5*p**3/3 + 1845*p**2 - 680805*p + 81. Find b such that d(b) = 0.
369
Let d(m) be the third derivative of 161*m**7/18 - 1673*m**6/72 + 97*m**5/6 - 35*m**4/18 - 20*m**3/9 - 3638*m**2. What is h in d(h) = 0?
-2/23, 2/7, 1
Let i(o) = -108*o**4 - 2576*o**3 - 14976*o**2 + 3464*o. Let x(s) = 144*s**4 + 3435*s**3 + 19968*s**2 - 4619*s. Let t(l) = -11*i(l) - 8*x(l). Factor t(k).
4*k*(k + 12)**2*(9*k - 2)
Let v be (54/12 - 6)/(12/(-32)). Let n be (5 - v) + (-18)/(-4) + -5. Factor 3/2 - q - n*q**2.
-(q - 1)*(q + 3)/2
Suppose -3*v - 294 = -2*b + 282, -5*v - 964 = -2*b. Let w = 785/4 + v. Factor -3/2*z**2 - w*z**3 - 1/4*z + 0.
-z*(3*z + 1)**2/4
Let v(u) = 1067*u**2 - 6402*u + 2. Let c be v(6). Find y such that 8/15 - 22/15*y**c - 6/5*y**3 + 32/15*y = 0.
-2, -2/9, 1
Let s(y) be the first derivative of -65 - y**3 + 104822*y + 2*y**2 - 104801*y + 7*y**2. What is d in s(d) = 0?
-1, 7
What is b in 6444236666/5 + 2/5*b**3 + 8862/5*b**2 + 13089174/5*b = 0?
-1477
Let d be (-4*4/(-40))/((-6)/(-30)). Factor 3 - 709*n**d + 351*n**2 + 355*n**2.
-3*(n - 1)*(n + 1)
Suppose -2140/7*r + 2136/7 + 4/7*r**2 = 0. Calculate r.
1, 534
Let v(s) = 4*s - 56. Let y be v(15). Solve 80*q**2 - 64*q**4 + 29*q**y + 5*q**5 + 15*q**4 - 80*q = 0 for q.
-2, 0, 2
Let n(f) = -11*f**4 + 29*f**3 - f**2 + 17*f. Suppose -3*i + 136 = -11*i. Let q(z) = 4*z**4 - 10*z**3 - 6*z. Let r(t) = i*q(t) - 6*n(t). Solve r(w) = 0 for w.
-3, 0, 1
Let n be -2*1/(-8) + (-378)/(-216). Let x be (n/3)/((468/135)/13). Factor -x*s**2 + 0 - 15/2*s.
-5*s*(s + 3)/2
Let z = -242933 + 242937. Find v, given that -2*v**z + 2*v**3 + 2*v**2 + 2/5*v**5 - 12/5*v + 0 = 0.
-1, 0, 1, 2, 3
Let k(s) be the first derivative of 3*s**4/16 + 1551*s**3/4 + 2405601*s**2/8 + 414565239*s/4 - 43. Solve k(o) = 0 for o.
-517
Let z(s) = -97*s**2 - 96*s - 10. Let t(v) be the first derivative of -19*v**3/3 - 19*v**2/2 - 2*v + 56. Let d(f) = -11*t(f) + 2*z(f). Factor d(x).
(x + 1)*(15*x + 2)
Let g(s) be the first derivative of 15*s**4/2 - 85*s**3/6 - 5*s**2/2 - 138*s - 290. Let t(q) be the first derivative of g(q). Suppose t(d) = 0. Calculate d.
-1/18, 1
Let c be (-6 - (-135)/25)*-5. Suppose q - 5*r = 0, -3*q + c*r = -4*q. Find x, given that -2/3*x**4 + 0 + 2/3*x**2 - 2/3*x**3 + q*x + 2/3*x**5 = 0.
-1, 0, 1
Let x(l) be the first derivative of -l**3 + 90*l**2 + 372*l + 1668. Let x(g) = 0. What is g?
-2, 62
Let y be 6/15 + 4/(-110). Let d = -326075 + 326079. Find f, given that -8/11*f**3 + 0 + 6/11*f + 2/11*f**5 + y*f**d - 4/11*f**2 = 0.
-3, -1, 0, 1
Factor 62/11*h - 2/11*h**2 - 40.
-2*(h - 20)*(h - 11)/11
Let s(p) be the second derivative of -p**6/10 + 3*p**4/8 - p**3/2 + 39*p**2 - 72*p. Let j(b) be the first derivative of s(b). Factor j(f).
-3*(f + 1)*(2*f - 1)**2
Suppose 27 = 2*p - 43. Let b(a) = -a - 1. Let y(c) = -4*c + 31. Let m be y(9). Let u(v) = -2*v**2 - 10*v - 7. Let d(x) = m*u(x) + p*b(x). Factor d(z).
5*z*(2*z + 3)
Let y = 695 + -698. Let g be 0*((-6 - 6/y) + 3). Find n, given that 0*n + 2/23*n**2 - 2/23*n**3 + g = 0.
0, 1
Let q(l) be the second derivative of -l**6/120 - 507*l**5/20 - 257049*l**4/8 - 43441281*l**3/2 - 66074188401*l**2/8 - 2*l + 323. Factor q(t).
-(t + 507)**4/4
Let j(d) be the second derivative of -d**7/252 - 2*d**6/15 - 79*d**5/60 - 23*d**4/18 + 253*d**3/12 - 121*d**2/3 + 750*d - 3. Find b, given that j(b) = 0.
-11, -4, 1
Let l(k) be the first derivative of -2*k**5/25 + 87*k**4/10 - 56*k**3/5 - 172*k**2/5 + 1185. Suppose l(c) = 0. Calculate c.
-1, 0, 2, 86
Let d(q) be the third derivative of 13*q**6/300 - 8*q**5/15 + 77*q**4/60 - 2*q**3/3 - 12*q**2 - 58*q. Factor d(l).
2*(l - 5)*(l - 1)*(13*l - 2)/5
Let s(x) be the first derivative of x**6/40 - 9*x**5/20 + 9*x**4/4 + 40*x**2 - 139. Let m(d) be the second derivative of s(d). Suppose m(i) = 0. What is i?
0, 3, 6
Let o = -109 + 42. Let u = -65 - o. Suppose 0 + 0*a + 3/2*a**u - 3/4*a**4 + 3/4*a**3 = 0. What is a?
-1, 0, 2
Suppose 0 = -300*c + 332*c - 2016. Let u be ((-4)/(-60))/(21/c). Factor 6/5*h + 0 + u*h**3 - 7/5*h**2.
h*(h - 6)*(h - 1)/5
Let n(z) be the first derivative of -z**5/5 - 5*z**4/4 + 53*z**3 - 715*z**2/2 + 850*z + 9409. Suppose n(b) = 0. What is b?
-17, 2, 5
Factor 32/5*j - 12/5*j**3 + 0 + 24/5*j**2 - 4/5*j**4.
-4*j*(j - 2)*(j + 1)*(j + 4)/5
Let b(n) be the second derivative of n**7/12600 + n**6/50 + 54*n**5/25 + 85*n**4/12 + 96*n. Let j(o) be the third derivative of b(o). Factor j(z).
(z + 36)**2/5
Let p(n) be the third derivative of 1/160*n**5 + 169/4*n**3 + 13/16*n**4 - n**2 + 15 + 0*n. Determine s, given that p(s) = 0.
-26
Suppose 20 = 25*u - 15*u. Let 6*i**4 + 12 - 3*i**4 - i**u - 14*i**2 = 0. What is i?
-2, -1, 1, 2
Let s(q) = -q**3 + 22*q**2 - 76 - 19*q + 22*q + 22. Let u be s(22). Find b, given that -14*b + 40*b - 2*b + 3*b**3 - 8*b**2 - 7*b**2 - u = 0.
1, 2
Let l(v) be the third derivative of v**5/450 - v**4/5 + 7*v**3 - 287*v**2. What is d in l(d) = 0?
15, 21
Let y(f) be the third derivative of 17*f**5/4 - 565*f**4/24 + 55*f**3/3 + 374*f**2 + 1. Factor y(x).
5*(x - 2)*(51*x - 11)
Let q(g) be the first derivative of 45*g + 0*g**2 - 75 - 5/3*g**3. Determine b, given that q(b) = 0.
-3, 3
Let m be (-56)/42*3/(-6)*3. Factor 12*u**2 + m - 10*u**2 - 10.
2*(u - 2)*(u + 2)
What is m in 4/7*m**2 - 1668/7*m + 1664/7 = 0?
1, 416
Let k(u) be the second derivative of -1/100*u**5 + 1/10*u**4 + 0*u**3 - 2 + 0*u**2 - 1/150*u**6 + 2*u. Let k(t) = 0. What is t?
-3, 0, 2
Let s(u) be the second de