) = -x + 7. Let j be t(5). Suppose -j*w + 288 + w**2 - 288 = 0. Calculate w.
0, 2
Let a = 37 - 33. Suppose 5*q**3 - 9*q**2 - 3*q**4 - 8*q - a*q + 7*q**3 + 12 = 0. Calculate q.
-1, 1, 2
Let v(t) = 3*t**2. Let z be v(1). Suppose -k**3 + k**4 - 3*k**z + 2*k**3 - 3*k**3 = 0. What is k?
0, 5
Let g(d) = -2*d - 4. Let s = -7 + 4. Let b be g(s). Factor -8*r - 40*r**b - 74*r**3 - 13*r**4 + 0*r - 47*r**4 - 18*r**5.
-2*r*(r + 1)**2*(3*r + 2)**2
Let j(q) be the third derivative of -q**8/50400 - q**7/2100 + 7*q**6/1800 + q**5/12 - 21*q**2. Let k(g) be the third derivative of j(g). Factor k(v).
-2*(v - 1)*(v + 7)/5
Let m(j) be the first derivative of -18*j**5/5 - 493*j**4/2 + 238*j**3/3 + 493*j**2 - 220*j - 350. Suppose m(q) = 0. What is q?
-55, -1, 2/9, 1
Let p(t) be the third derivative of t**8/448 + 3*t**7/70 + 3*t**6/10 + 4*t**5/5 - 121*t**2 + 1. Find y such that p(y) = 0.
-4, 0
Let x(j) = 4*j**2 + 2*j + 1. Let v be x(2). Let s = v - 19. What is m in -s*m**2 - 10/3*m + 2/3*m**4 - 4/3 + 2/3*m**3 = 0?
-1, 2
Let m(z) be the third derivative of z**6/40 - z**5/4 + z**4 - 2*z**3 - 21*z**2. Factor m(x).
3*(x - 2)**2*(x - 1)
Let r(j) be the second derivative of -j**6/90 - j**5/15 - j**4/6 + 7*j**3/6 + 2*j. Let x(s) be the second derivative of r(s). Determine o, given that x(o) = 0.
-1
Let r = -557/39 + 190/13. Let 2/3*c + 1/3*c**2 + r = 0. What is c?
-1
Let c = 88/3 - 175/6. Let j(d) be the first derivative of 0*d - c*d**3 - 1 + 1/4*d**2. Factor j(y).
-y*(y - 1)/2
Let i(p) = -17*p + 323. Let j be i(19). Let m(r) be the second derivative of 2*r**3 - 1/3*r**4 - 4*r - 4*r**2 + j. Factor m(d).
-4*(d - 2)*(d - 1)
Let f(g) be the second derivative of -g**9/9072 - g**8/720 - g**7/168 - g**6/120 - 11*g**3/6 + 6*g. Let p(j) be the second derivative of f(j). Factor p(h).
-h**2*(h + 1)*(h + 3)**2/3
Let w(s) be the first derivative of 5*s**8/336 - s**7/21 - s**6/24 + s**5/6 - 2*s**2 + 12. Let a(r) be the second derivative of w(r). Factor a(u).
5*u**2*(u - 2)*(u - 1)*(u + 1)
Let n(u) be the second derivative of 0*u**3 + 0 + 5/2*u**2 + 1/15*u**5 + 1/60*u**6 + 1/12*u**4 + 5*u. Let h(p) be the first derivative of n(p). Factor h(s).
2*s*(s + 1)**2
Let p(y) be the first derivative of -y**5/20 + y**4/4 + 6*y**2 - 1. Let x(i) be the second derivative of p(i). What is z in x(z) = 0?
0, 2
Let 6643 - 6593 + 910*a**3 + 55*a**5 - 430*a**4 - 57*a - 700*a**2 + 172*a = 0. Calculate a.
-2/11, 1, 5
Let t(j) be the third derivative of -j**5/90 - j**4/2 + 88*j**3/9 - 4*j**2 - 83*j. Factor t(s).
-2*(s - 4)*(s + 22)/3
Let z = 11 - 9. Let v be ((-10)/18)/(12 - 385/30). Factor -1/3*k**z + 0 + v*k.
-k*(k - 2)/3
Let f = 123 - 367/3. Let b = 6 + -4. Factor 0 + 0*r**3 - 2/3*r**b + f*r**4 + 0*r.
2*r**2*(r - 1)*(r + 1)/3
Let 0*k - 8/3 + 2*k**2 + 2/3*k**3 = 0. Calculate k.
-2, 1
Let k = 62 - 58. Suppose 19*b**4 + 50*b**2 - 176*b**3 - 2*b**2 + 896*b + 25*b**k - 256 - 16*b**4 = 0. What is b?
-2, 2/7, 4
Determine q so that -24/5*q**2 + 9*q + 3/5*q**3 + 0 = 0.
0, 3, 5
Let r = 1767 - 1765. Suppose 6/19*u**3 - 6/19*u**5 + 0 - 2/19*u**4 + 0*u + 2/19*u**r = 0. What is u?
-1, -1/3, 0, 1
Let w(h) = 7*h**3 - 38*h**2 - 45*h + 16. Let b(k) = 5*k**3 - 25*k**2 - 30*k + 10. Let a(y) = -8*b(y) + 5*w(y). Find g such that a(g) = 0.
-1, 0, 3
Let m be (1 - 49/5)*15/(-63). Let g = m + -10/7. Suppose 0 + 1/3*p**3 + 1/3*p**2 - g*p = 0. Calculate p.
-2, 0, 1
Let m(y) = 20*y**4 + 2*y**3 - 18*y**2 - 18. Let p(o) = -o**4 + o**2 + 1. Let k(g) = 2*m(g) + 36*p(g). Solve k(n) = 0 for n.
-1, 0
Let o(t) = 6*t**2 - 68*t + 25. Let l be o(11). Let p(u) be the first derivative of -2 - 4*u**2 - 1/3*u**l - 16*u. Let p(x) = 0. What is x?
-4
Solve 6862*k**2 + k**3 + 1 - 5*k + 5 - 6864*k**2 = 0 for k.
-2, 1, 3
Let z be -26*(-1 + 0) + -9 + 10. Let g = 55/2 - z. Factor g*n**2 - 1/2 + 0*n.
(n - 1)*(n + 1)/2
Let f(n) be the second derivative of -n**4/30 - 11*n**3/15 + 12*n**2/5 + 149*n. Solve f(m) = 0 for m.
-12, 1
Let v(d) = 12*d**2 - 40*d. Let x(i) = i**2 + i. Let n(k) = -v(k) - 4*x(k). Factor n(s).
-4*s*(4*s - 9)
Determine r so that -86/3*r - 1/9*r**2 - 1849 = 0.
-129
Let q(c) = -27*c**3 - 371*c**2 - 6836*c - 12228. Let a(v) = 5*v**3 + 74*v**2 + 1367*v + 2446. Let k(f) = -11*a(f) - 2*q(f). What is w in k(w) = 0?
-35, -2
Factor -166/5*r**4 + 0*r - 2/5*r**5 - 3362/5*r**2 + 0 - 3526/5*r**3.
-2*r**2*(r + 1)*(r + 41)**2/5
Let z(q) = q + 18. Let u be z(-16). Factor 2*k**3 + 3*k**u + 0*k**2 - 3*k**2 - 2*k**4.
-2*k**3*(k - 1)
Let o(a) be the first derivative of -5*a**2 - 9/2*a**4 + 32/3*a**3 - 4*a - 12. Find h such that o(h) = 0.
-2/9, 1
Factor -i**3 + i**4 - 608*i**2 + 686*i**2 - 220*i + 121 + 14*i**3 + 7*i**3.
(i - 1)**2*(i + 11)**2
Let b = -6171/7 - -885. Let p = -41/14 + b. Factor p*k**4 + 0*k + 3/2*k**3 + 0 + k**2.
k**2*(k + 1)*(k + 2)/2
Let a be (-15)/10 + (-651)/(-2). Let y(g) be the first derivative of a*g**3 + 6561/10*g**5 - 729*g**4 - 72*g**2 - 5 + 8*g. Solve y(j) = 0.
2/9
Let b(m) = 3*m**2 - 1195*m + 45005. Let p(y) = 8*y**2 - 2988*y + 112512. Let d(l) = -12*b(l) + 5*p(l). Determine q, given that d(q) = 0.
75
Let h = -25 + 26. Let a(i) = 0*i**2 + 3*i**2 - 2*i**2. Let p(y) = -3*y**5 - 3*y**4 + 3*y**3 + 15*y**2. Let s(m) = h*p(m) - 12*a(m). Factor s(o).
-3*o**2*(o - 1)*(o + 1)**2
Factor -13*o**3 + 15*o**3 - 52*o - 4 + 46*o.
2*(o - 2)*(o + 1)**2
Find r, given that 2/7*r**3 - 4*r**2 + 10*r - 44/7 = 0.
1, 2, 11
Suppose 0 = 2*p + p + 108. Let g = -34 - p. Factor 0 + 0*m**3 + 3/4*m**5 + 3/2*m**4 + 0*m**g + 0*m.
3*m**4*(m + 2)/4
Let p(d) = 3*d**2 + 105*d + 376. Let u(t) = 25*t**2 + 945*t + 3380. Let o(w) = 35*p(w) - 4*u(w). Factor o(f).
5*(f - 24)*(f + 3)
Let l(c) be the second derivative of -90*c**3 + 540*c**2 - 1/4*c**5 + 15/2*c**4 + 22*c + 0. Factor l(o).
-5*(o - 6)**3
Suppose 0 = -5*t + 3*j - 2742, 2*t = -j + 6*j - 1112. Let i be 4 - 0 - (t/27)/(-7). What is n in 0 + i*n**2 - 4/9*n - 4/9*n**3 = 0?
0, 1/2, 2
Let b(p) be the third derivative of p**6/540 + 4*p**5/45 - p**4/108 - 8*p**3/9 - 4*p**2 - 1. Factor b(l).
2*(l - 1)*(l + 1)*(l + 24)/9
Suppose 0 = 4*n + 149*j - 148*j - 16, -4*j = -16. Factor 0*t**2 + 16/7 + 1/7*t**n - 12/7*t.
(t - 2)**2*(t + 4)/7
Suppose -2*y - 5*s = -33, -3*s + 2 = -3*y - 1. Let t be (10/y)/(6/12). Solve -6/5*d**3 + 0*d**4 + 0 + 2/5*d**t - 4/5*d**2 + 0*d = 0.
-1, 0, 2
Let p = 1 + 2. Factor 2*o**p - o**2 - 2*o + 4 - 6 - 2 + 5.
(o - 1)*(o + 1)*(2*o - 1)
Let r(f) = -4*f**5 + 4*f**3 - 7*f**2 - 18*f - 11. Let h(b) = 3*b**5 - b**4 - 5*b**3 + 7*b**2 + 18*b + 10. Let d(v) = -3*h(v) - 2*r(v). Factor d(l).
-(l - 4)*(l - 2)*(l + 1)**3
Let x = -25504 + 25507. Factor 0*n**2 + 0 + 2/13*n**5 + 0*n - 2/13*n**x + 0*n**4.
2*n**3*(n - 1)*(n + 1)/13
Let u(q) be the first derivative of q**3 + 13 + 1/4*q**4 + 9*q**2 - 9*q. Let o(z) = z**2 + z - 1. Let x(k) = -18*o(k) + 2*u(k). Factor x(l).
2*l*(l - 3)**2
Let l be -3*(7 - (-130)/(-15)). Factor 0*h**2 - 2/5*h**3 - 2/5*h**l + 0 + 0*h - 4/5*h**4.
-2*h**3*(h + 1)**2/5
Let v(k) be the second derivative of 0 + 11*k + 1/10*k**6 + 3/10*k**5 - k**3 - 3/2*k**2 + 0*k**4. Determine l so that v(l) = 0.
-1, 1
Let c(o) be the second derivative of -4*o**7/35 - 13*o**6/30 - 8*o**5/15 - o**4/6 + 11*o**2/2 - 22*o. Let g(l) be the first derivative of c(l). Factor g(p).
-4*p*(p + 1)**2*(6*p + 1)
Let h be 3 - (0 + 0 + 8 + -10). Let r(n) be the third derivative of -1/8*n**4 + 0 - n**3 - n**2 + 1/20*n**h + 0*n. Suppose r(u) = 0. What is u?
-1, 2
Let g(i) = i. Let h be g(-9). Let j be h/(-18)*2/3. Factor 1/3*w + 1/3 - j*w**2 - 1/3*w**3.
-(w - 1)*(w + 1)**2/3
Let d = 18401 + -18399. Solve 1/2*x**3 - 1/2*x + 1 - x**d = 0 for x.
-1, 1, 2
Let u(v) be the second derivative of 0 + 0*v**2 - 15*v + 3/20*v**5 + 3/4*v**4 + 0*v**3. Determine d so that u(d) = 0.
-3, 0
Let h(u) be the third derivative of u**7/42 - 37*u**6/24 + 400*u**2. Factor h(v).
5*v**3*(v - 37)
Let z(d) be the first derivative of d**9/5040 - d**8/2800 - d**7/1400 + d**6/600 - 11*d**3/3 + 4. Let b(f) be the third derivative of z(f). Factor b(r).
3*r**2*(r - 1)**2*(r + 1)/5
Let i = -1 + 4. Suppose 2*u + n + 2*n + 8 = 0, 3*u = -i*n - 6. Let -3 - 2*g**2 + 5*g**2 - 2 + u = 0. What is g?
-1, 1
Suppose 0 = -15*n + 5 + 40. Suppose -21*c + 22*c + n*c**3 - 2*c**3 - 2*c**2 = 0. What is c?
0, 1
Let c be 1 - ((-153)/(-33) - 4). Let o(a) be the first derivative of -45/22*a*