**2
Let g(r) = -r - 6. Let w be g(-9). Let m(d) = d**2 + 5*d - 2. Let z be m(-6). What is a in a**2 - 2*a - 2*a**2 + 3*a - a**w + a**z = 0?
-1, 0, 1
Let g be -19 - (4 + -5 - 1). Let y = g + 19. Find t, given that 2/3*t - 1/3 - 1/3*t**y = 0.
1
Factor -2/19*z**3 - 56/19 - 22/19*z**2 - 64/19*z.
-2*(z + 2)**2*(z + 7)/19
Let x(p) = p**3 - 9*p - 5. Let b be x(-2). Let z(i) be the third derivative of 0*i**3 + 3*i**2 - 1/60*i**b + 0 + 0*i + 0*i**4. Find v, given that z(v) = 0.
0
Factor -23*u**4 + u**3 + u**2 + 3*u**5 + 22*u**4 - 4*u**3.
u**2*(u - 1)*(u + 1)*(3*u - 1)
Let f = -3/17 - -35/102. Let x(a) be the second derivative of -1/15*a**6 + 1/6*a**4 + 0*a**5 + 0*a**2 + 0 + f*a**3 - 3*a - 1/42*a**7. Factor x(w).
-w*(w - 1)*(w + 1)**3
Let t be (-6)/51 + 9/((-4284)/(-328)). Factor -t - 10/7*w - 2/7*w**3 - 8/7*w**2.
-2*(w + 1)**2*(w + 2)/7
Let t(l) = -5*l**2 + 9*l + 14. Let s(f) = 2*f**2 - 3*f - 5. Let a(n) = 8*s(n) + 3*t(n). Suppose a(i) = 0. Calculate i.
-2, -1
Let l(f) be the second derivative of 2*f**6/105 + f**5/35 - f**4/21 - 2*f**3/21 + 8*f. Factor l(s).
4*s*(s - 1)*(s + 1)**2/7
Let y(w) be the first derivative of 3*w**4/16 - 3*w**2/8 - 6. Determine i, given that y(i) = 0.
-1, 0, 1
Let p(k) be the third derivative of -k**5/36 - 5*k**4/36 - 2*k**2. Factor p(h).
-5*h*(h + 2)/3
Suppose -146 - 1619 = 5*r. Let b = r + 1774/5. What is u in b*u**2 + 0 - 3/5*u = 0?
0, 1/3
Let q(p) be the first derivative of 0*p + 0*p**2 - 1 - 1/5*p**5 + 3/16*p**4 + 1/12*p**3. Factor q(k).
-k**2*(k - 1)*(4*k + 1)/4
Determine g, given that -2/3*g**3 + 0 + 0*g + 2/3*g**2 = 0.
0, 1
Let i(k) = 2*k**2 + 20*k - 2. Let t(o) = -2*o. Let c(f) = 2*i(f) + 20*t(f). Factor c(h).
4*(h - 1)*(h + 1)
Let p be (6/10)/((-198)/(-1320)). Let -2/5*o**p - 2/5*o**5 + 2/5*o**3 + 0 + 0*o + 2/5*o**2 = 0. Calculate o.
-1, 0, 1
Let u be (4/(-6))/(160/(-12)). Let s(h) be the second derivative of h + 0*h**4 + 0 + 0*h**3 - 1/30*h**6 - u*h**5 + 0*h**2. Factor s(l).
-l**3*(l + 1)
Let d(n) = n**2 + 3*n - 24. Let u be d(4). Let l(h) be the third derivative of 0 - 3*h**2 - 9/2*h**3 - 3/4*h**u - 1/20*h**5 + 0*h. Factor l(g).
-3*(g + 3)**2
Let a(m) be the second derivative of -m**5/60 - m**4/18 - m**3/18 - m**2 - 4*m. Let k(x) be the first derivative of a(x). Let k(h) = 0. What is h?
-1, -1/3
Let m(p) = 5*p**2 + p**4 + 5*p**3 + 7*p**5 + 0 + 9 - 4 + 1. Let i(v) = -v**5 - v**3 - v**2 - 1. Let y(j) = -6*i(j) - m(j). Factor y(f).
-f**2*(f - 1)*(f + 1)**2
Let d(p) be the third derivative of -p**7/210 + p**6/40 - p**4/6 + 3*p**2. Factor d(s).
-s*(s - 2)**2*(s + 1)
Let l(r) be the second derivative of r**5/270 - r**4/108 - r**2/2 - r. Let p(g) be the first derivative of l(g). Factor p(f).
2*f*(f - 1)/9
Let m(d) be the second derivative of -d**7/56 + d**6/20 - 3*d**5/80 + 5*d. Factor m(w).
-3*w**3*(w - 1)**2/4
Let t(f) be the second derivative of f**4/4 + f**3/2 - f. Determine n, given that t(n) = 0.
-1, 0
Let t(d) = 6*d**3 - 2*d**2 - 5. Let r(n) = 5*n**3 - 2*n**2 - 4. Let s(u) = -5*r(u) + 4*t(u). Suppose s(c) = 0. What is c?
0, 2
Let b(r) be the second derivative of -r**6/360 - r**5/60 - r**4/24 - r**3/2 + 3*r. Let s(m) be the second derivative of b(m). Factor s(j).
-(j + 1)**2
Suppose -4*x + 2*x = -4. Find b such that -3*b**2 - b**2 + 2*b + x*b + 2*b**3 - 2*b = 0.
0, 1
Let q be (-2)/(-18)*(-1241)/(-544). Let f = q + -1/32. Solve -f*h**2 - 2/9*h + 0 = 0 for h.
-1, 0
Let m(f) = -f**3 - f**2 - 3*f. Let l(d) = 6*d**3 + 6*d**2 + 17*d. Let p(t) = -6*l(t) - 34*m(t). Suppose p(z) = 0. What is z?
-1, 0
Let z be (120/(-100))/((-21)/(-30) + -1). Factor 2*q - 15/2*q**3 + 2*q**z + 0 + 6*q**2.
q*(q - 2)**2*(4*q + 1)/2
Let i(w) = -w**5 + w**4 - w**3 + w - 1. Let t(q) = 16*q**5 + 24*q**4 + 12*q**3 - 24*q**2 - 24*q. Let u(l) = -4*i(l) - t(l). Determine a, given that u(a) = 0.
-1, -1/3, 1
Find g such that -10*g + 12*g**2 + 2674*g**3 - 2 - 2676*g**3 + 2 = 0.
0, 1, 5
Let u(l) be the first derivative of -l**4/48 - l**3/18 + 56. Determine i so that u(i) = 0.
-2, 0
Let y(h) be the second derivative of h**5/90 - h**4/54 - 4*h**3/27 + 4*h**2/9 - 7*h. Factor y(o).
2*(o - 2)*(o - 1)*(o + 2)/9
Let z(u) be the first derivative of u**6/240 - u**5/30 + u**4/12 + u**3 + 7. Let q(p) be the third derivative of z(p). Factor q(c).
(c - 2)*(3*c - 2)/2
Let c be -4 - ((-42)/35)/((-3)/(-20)). Factor -2/11*z + 4/11*z**c + 2/11*z**5 - 4/11*z**2 + 0*z**3 + 0.
2*z*(z - 1)*(z + 1)**3/11
Let d(w) be the third derivative of 1/3*w**4 + 0*w + 0 - 1/168*w**8 - 2*w**2 + 4/105*w**7 - 1/60*w**6 - 1/3*w**5 + 8/3*w**3. Let d(v) = 0. Calculate v.
-1, 2
Let p(r) be the first derivative of 2*r**3/3 - 2*r + 21. Factor p(j).
2*(j - 1)*(j + 1)
Let x = -18 - -34. Suppose x*i - 16 = 12*i. Suppose 0 - 1/2*d - d**2 + 1/2*d**3 + d**i = 0. What is d?
-1, -1/2, 0, 1
Let w(q) = -q**2 - 3*q. Suppose 3*y + 23 = -4. Let b(k) = -4*k**2 - 12*k + 1. Let r(p) = y*w(p) + 2*b(p). Determine j, given that r(j) = 0.
-2, -1
Let b = 1234 + -6142/5. Factor b*n**3 - 16/5 + 48/5*n**2 + 16/5*n + n**4.
(n + 2)**3*(5*n - 2)/5
Let g(v) be the third derivative of 0*v**5 + 0*v**4 - 1/420*v**7 + 0*v - v**2 - 1/1344*v**8 - 1/480*v**6 + 0 + 0*v**3. Factor g(w).
-w**3*(w + 1)**2/4
Suppose -b = b - 4. Suppose -q + 2*q = b. Factor -q*j**2 + 4*j + 3 - 1 - 5 + 1.
-2*(j - 1)**2
Suppose m + 28 = -3*m. Let f = 9 + m. Factor 16/9*j**f - 2/9*j + 0 - 32/9*j**3.
-2*j*(4*j - 1)**2/9
Let l(u) = -3*u**4 - 3*u**3 + 5*u**2 - 9*u. Let b(g) = -2*g**4 - 4*g**3 + 6*g**2 - 8*g. Let k(y) = 5*b(y) - 4*l(y). Suppose k(i) = 0. Calculate i.
0, 1, 2
Solve -9*g - 9*g**3 + 3*g**5 + 3*g + 0*g + 3*g**4 - 15*g**2 = 0.
-1, 0, 2
Let a(j) be the second derivative of -1/63*j**7 + 1/45*j**6 + 0*j**2 + 5*j + 0*j**3 + 0 + 1/30*j**5 - 1/18*j**4. Suppose a(s) = 0. Calculate s.
-1, 0, 1
Let h(i) = -i**4 + i**2. Let z = 1 - 2. Let n(d) = 0*d**2 - 2*d**4 - 2*d**2 + 6*d**2 - 2*d**4. Let t(x) = z*n(x) + 3*h(x). Suppose t(p) = 0. What is p?
-1, 0, 1
Let h(j) = j**3 + 45*j**2 - 96*j - 92. Let q be h(-47). Factor 0 - r**3 - 3/4*r**q - 1/4*r**4 + 0*r.
-r**2*(r + 1)*(r + 3)/4
Let n = 1/127 - -85/5334. Let w(v) be the second derivative of 0*v**3 + 0 - 2*v + 0*v**2 + n*v**4. Let w(o) = 0. What is o?
0
Let l = 4 + -1. Let r = 5 - l. Factor r*m + 2/5 + 8/5*m**2.
2*(m + 1)*(4*m + 1)/5
Let o be (0 + (-9)/(-15))/(-5 + 8). Let v(x) be the first derivative of -1/2*x**4 - x**3 + o*x**5 + 2*x**2 - 2 + 4*x. Factor v(f).
(f - 2)**2*(f + 1)**2
Suppose d - 6*d - 15 = -5*c, 4*d = 4. Factor 0*j**2 + 0 - 2/9*j + 2/3*j**3 + 4/9*j**c.
2*j*(j + 1)**2*(2*j - 1)/9
Solve 0*o**2 + 3/7*o**4 + 0 - 6/7*o**3 + 0*o = 0.
0, 2
Let h = 22 + -20. Let c(m) be the first derivative of -2 + 1/20*m**4 - 1/10*m**h + 0*m + 0*m**3. Factor c(j).
j*(j - 1)*(j + 1)/5
Let y(z) be the first derivative of z**4/26 - 2*z**3/39 - z**2/13 + 2*z/13 + 17. Find a such that y(a) = 0.
-1, 1
Suppose -z - 12 = -5*w, -3*w + 4*z = -0*z - 14. Factor 2/3*d**2 - w*d + 4/3.
2*(d - 2)*(d - 1)/3
Let v(m) = -m**3 - m**2. Let s(c) = -10*c**4 + 2*c**3 - 16*c**2 - 4*c. Let z(p) = -2*s(p) + 28*v(p). Solve z(g) = 0.
-2/5, 0, 1
Let f(z) = 2*z + 10. Let n be f(-5). Factor 3*k**4 + n*k**4 - k**4 + 2*k**3.
2*k**3*(k + 1)
Find h such that -2/3*h**3 - 2/9 + 2/9*h**2 + 2/3*h = 0.
-1, 1/3, 1
Let m be (1 + 104)*(-3 - -4). Let p be ((-7)/(m/12))/(-6). Factor p*f**3 + 0 + 4/15*f - 2/5*f**2.
2*f*(f - 2)*(f - 1)/15
Let w(t) = 160*t**2 - 280*t - 264. Let o(p) = 29*p**2 - 51*p - 48. Let x(m) = -28*o(m) + 5*w(m). Factor x(g).
-4*(g - 3)*(3*g + 2)
Suppose -15 = 13*b - 18*b. Let d(a) be the second derivative of -1/6*a**2 + 1/6*a**b - 1/126*a**7 + 1/30*a**6 - 1/30*a**5 - 1/18*a**4 + 3*a + 0. Factor d(q).
-(q - 1)**4*(q + 1)/3
Suppose 0 = -9*m + 6*m. Let i(x) be the second derivative of m + 1/30*x**6 + 1/4*x**4 + 1/6*x**3 + 3/20*x**5 + 2*x + 0*x**2. Factor i(r).
r*(r + 1)**3
Let u(m) be the second derivative of -m**5/70 + m**4/14 - 4*m**2/7 + 7*m. Solve u(d) = 0.
-1, 2
Let t(y) be the second derivative of y**6/36 - 5*y**4/36 + 5*y**2/12 - 2*y. Factor t(r).
5*(r - 1)**2*(r + 1)**2/6
Let o = 3 - 13. Let l be -2*1/o*2. Suppose l*h**2 + 4/5 - 6/5*h = 0. Calculate h.
1, 2
Let r be ((-9)/((-378)/12))/((-16)/(-14)). Let v(s) be the first derivative of 0*s - r*s**2 + 1/2*s**3 + 1/10*s**5 - 3/8*s**4 + 1. Factor v(q).
q*(q - 1)**3/2
Let h be -3 - (-11)/3*1. 