 2. Let o(s) = 7*s**2 + 2*s + 3. Let d(k) = -6*c(k) + 5*o(k). Factor d(j).
-(j - 1)*(j + 3)
Solve 0*n**2 + 8/3*n + 0 - 2/3*n**3 = 0 for n.
-2, 0, 2
Let a(r) = 6*r**5 + r**4 - 6*r**3 + 6*r**2 + 7*r - 7. Let j(u) = -u**5 + u**3 - u**2 - u + 1. Let h(x) = 4*a(x) + 28*j(x). Suppose h(m) = 0. Calculate m.
-1, 0, 1
Let i be ((-2)/25)/(-1 + 19/(-5)). Let k(n) be the second derivative of 0 + 0*n**3 - 3*n - 1/12*n**4 - i*n**6 - 3/40*n**5 + 0*n**2. Suppose k(j) = 0. What is j?
-2, -1, 0
Suppose 35*a = 39*a - 8. Factor 0*j + 2/5*j**a - 2/5.
2*(j - 1)*(j + 1)/5
Let z(y) be the second derivative of -1/24*y**4 + 0*y**5 + 1/8*y**2 - 5*y + 1/120*y**6 + 0 + 0*y**3. Solve z(n) = 0.
-1, 1
Let i(t) be the second derivative of -t**6/90 + t**5/60 - t. What is q in i(q) = 0?
0, 1
Let k be 2 + 1 + -2 + 3. Factor 12*s**2 - 10*s**2 - 5*s**4 + 3*s**k.
-2*s**2*(s - 1)*(s + 1)
Factor 0 + 0*x + 2/5*x**5 + 2/5*x**2 + 6/5*x**4 + 6/5*x**3.
2*x**2*(x + 1)**3/5
Suppose 4*l + 4*m = 20, 5*l - 3*m + 5 = 2*m. Suppose 0 = k - 3*k + 4. Suppose -l*i**4 + i**k - i + i**2 + 3*i - 2*i**3 = 0. Calculate i.
-1, 0, 1
Let -5/2*v - 7/2*v**4 + 1/2 + 3/2*v**5 + v**3 + 3*v**2 = 0. Calculate v.
-1, 1/3, 1
Let w(o) = -o**3 - 17*o**2 + 10*o + 8. Let u(v) = -v**3 - 11*v**2 + 7*v + 5. Let b(m) = -8*u(m) + 5*w(m). Factor b(f).
3*f*(f - 1)*(f + 2)
Let u = 439/329 + -9/47. Factor -4/7*p**2 + 8/7*p**4 - 2/7*p + 6/7*p**3 + 0 - u*p**5.
-2*p*(p - 1)**2*(2*p + 1)**2/7
Let r = 15 - 39. Let t be 3*4/(r/(-10)). Factor 2 + 5*j**5 - 3*j**t + 4*j**3 - 6*j**4 + 2*j**2 + 2*j**2 - 6*j.
2*(j - 1)**4*(j + 1)
Let i(v) = -v**3 - 3*v**2 - 2*v. Let f(l) = -l**3 - l**2. Let d be ((-4)/8)/(1/6). Let g be 6/(-4)*2/(-3). Let y(n) = d*f(n) + g*i(n). Let y(a) = 0. What is a?
-1, 0, 1
Let z be 0 - (8 + -2)/(-3). Solve -2*k + 2*k**3 - z*k**3 + 3*k**3 - k**3 = 0 for k.
-1, 0, 1
Let d(s) = s**2 - 6*s + 10. Let i be d(4). Suppose m - 5*o - 44 = 5, 0 = m + 4*o - 49. Factor 105/2*w**4 + 0 - m*w**5 + i*w**2 + 0*w - 18*w**3.
-w**2*(2*w - 1)*(7*w - 2)**2/2
Let z(g) be the second derivative of 1/4*g**2 - g + 1/40*g**5 + 0 - 1/24*g**4 - 1/12*g**3. Let z(d) = 0. What is d?
-1, 1
Let 8/7 - 2*a**2 + 0*a - 2/7*a**3 + 6/7*a**4 + 2/7*a**5 = 0. What is a?
-2, -1, 1
Let b(l) be the second derivative of l**7/63 + l**6/9 - 13*l**5/30 + 7*l**4/18 - 53*l. Find z such that b(z) = 0.
-7, 0, 1
Let g(x) be the first derivative of 2*x**3/3 + x**2/2 + 5*x + 6. Let i(m) = -3*m**2 - 2*m - 9. Let n(b) = -5*g(b) - 3*i(b). Factor n(d).
-(d - 2)*(d + 1)
Let l(m) = 2*m + 18. Let r be l(-7). Find w, given that 2/7*w**5 - 2/7*w + 0*w**3 + 0 - 4/7*w**r + 4/7*w**2 = 0.
-1, 0, 1
Let t(k) = 2*k + 2. Let x be t(5). Let z = x - 12. What is f in 2/9 - 2/9*f**2 + z*f = 0?
-1, 1
Let f(t) = 6*t**3 + 2*t**2 - 4*t - 6. Let u(v) = -8*v**3 - v**2 + 5*v + 7. Let d(r) = -3*f(r) - 2*u(r). Solve d(s) = 0 for s.
-2, -1, 1
Let q(n) = -n + 1. Let h(w) = w**2 - 2*w + 1. Suppose 3*f + 4 = 4*f, 24 = 2*c + 5*f. Let x(p) = c*q(p) - h(p). Factor x(s).
-(s - 1)*(s + 1)
Let b = 4/79 + 130/553. Solve 0 + b*a + 2/7*a**2 = 0.
-1, 0
Let g(q) be the first derivative of -q**4/14 + 2*q**3/7 - 3*q**2/7 + 2*q/7 - 5. Suppose g(w) = 0. Calculate w.
1
Let m(r) be the third derivative of r**7/1050 + 2*r**6/75 + 21*r**5/100 - 2*r**4/15 - 32*r**3/15 + 12*r**2 - 2. Factor m(b).
(b - 1)*(b + 1)*(b + 8)**2/5
Let z = 4 - 2. Let m = 17 + -15. Determine r so that r + 4*r**z - 2*r - 3*r**m - r = 0.
0, 2
Let u = -8 - -8. Let o(s) = -2*s**3 + 2*s**2 + 2*s + 1. Let m be o(-1). Factor u*d**2 - d**m - d**2 + 0*d**3.
-d**2*(d + 1)
Suppose 3*w - 8*w + 20 = 0. Suppose 4 = w*v - 4. Solve r**2 - 5*r**v + 4*r**2 - 2*r**2 = 0 for r.
0
Suppose -13*h + 69 = 17. Suppose 2*o**3 - 1/2*o**h + 2*o - 1/2 - 3*o**2 = 0. Calculate o.
1
Solve -2/7*d**5 + 0 + 0*d**4 + 4/7*d**2 + 6/7*d**3 + 0*d = 0.
-1, 0, 2
Let n(l) be the first derivative of l**6/21 - l**4/14 - 1. Suppose n(k) = 0. Calculate k.
-1, 0, 1
Let a be (-2 - -2)/(2/2). Let q(n) be the second derivative of 1/18*n**4 + 0*n**3 - 1/30*n**5 + n + 0 + a*n**2. Factor q(g).
-2*g**2*(g - 1)/3
Let p(d) be the third derivative of d**5/48 - 5*d**4/32 + 5*d**3/12 - 14*d**2. Let p(u) = 0. What is u?
1, 2
Suppose 0 = -h + 5*x + 17, x - 3 = 3*h - 12. Suppose -8/13*q**4 + 10/13*q + 6/13*q**h + 2/13 - 10/13*q**3 = 0. What is q?
-1, -1/4, 1
Let l(w) be the third derivative of 5*w**8/336 - w**7/42 - w**6/4 + w**5/3 + 5*w**4/3 + 14*w**2. Factor l(f).
5*f*(f - 2)**2*(f + 1)*(f + 2)
Let q be (6*(-2)/(-28))/(300/420). Suppose q*w**2 + 24/5*w + 48/5 = 0. What is w?
-4
Determine x so that -2/7*x**5 + 0 + 0*x**3 + 0*x**2 - 2/7*x**4 + 0*x = 0.
-1, 0
Let o(n) be the third derivative of n**6/300 - n**5/50 - 3*n**4/20 - n**3/3 - 13*n**2. Factor o(z).
2*(z - 5)*(z + 1)**2/5
Let i be (12/9)/((-6)/(-9)) - -1. Let c(t) be the second derivative of -2*t + 2/3*t**i + 1/12*t**4 + 2*t**2 + 0. Let c(s) = 0. Calculate s.
-2
Let k(b) be the second derivative of -b**6/36 + b**5/5 - b**4/3 - b**3/6 + 6*b. Let w(u) be the second derivative of k(u). What is v in w(v) = 0?
2/5, 2
Let j be (-7 - -1)*4/(-3). Suppose 5*c = 7 + j. Factor -2*b + 4 - 2*b**3 + b**c - 4*b**2 + 3*b**3.
2*(b - 2)*(b - 1)*(b + 1)
Let q(w) = -w**2 + w. Let x(t) = -2*t**2 - t + 4. Let s(r) = -6*q(r) + 2*x(r). Factor s(m).
2*(m - 2)**2
Let w(p) be the third derivative of -1/300*p**6 + 0*p + 1/150*p**5 + 0*p**4 + 0 - 3*p**2 + 0*p**3. Solve w(t) = 0 for t.
0, 1
Let f(b) be the second derivative of b**6/120 + b**5/20 + 5*b**4/48 + b**3/12 + 3*b. Solve f(j) = 0.
-2, -1, 0
Let w(o) = -o**3 - 29*o**2 + 2. Let l be w(-29). Let t(k) be the first derivative of -3 + k**l - k - 1/3*k**3. Factor t(v).
-(v - 1)**2
Let l = -2/273 - -1373/1092. Let c(p) be the first derivative of -l*p**4 - 9/2*p**2 - 2*p - 1 - 4*p**3. Solve c(s) = 0.
-1, -2/5
Suppose -120*t - 34*t**2 + 162 - 62*t - 2*t**3 + 56*t = 0. Calculate t.
-9, 1
Suppose -1/2*x**4 + 100*x - 125/2 - 45*x**2 + 8*x**3 = 0. What is x?
1, 5
Let i(m) be the third derivative of -m**8/10080 + m**7/2520 + m**5/60 - 2*m**2. Let b(q) be the third derivative of i(q). Factor b(g).
-2*g*(g - 1)
Suppose -13 = 3*n - 19. Let r(a) be the second derivative of 0*a**4 + 0*a**3 - 1/10*a**5 + 0 - n*a + 0*a**2. Factor r(v).
-2*v**3
Find m, given that -m**4 - 40*m**3 + 41*m**3 + 2*m**4 = 0.
-1, 0
Let i(g) be the first derivative of -3*g**5/5 - 3*g**4/4 + 4*g**3 + 6*g**2 + 13. Find p such that i(p) = 0.
-2, -1, 0, 2
Let y(l) be the third derivative of -l**8/240 - 3*l**7/350 + l**6/120 + 3*l**5/100 + l**4/60 - 3*l**2. Determine j so that y(j) = 0.
-1, -2/7, 0, 1
Let r(m) be the third derivative of -m**8/1512 + m**7/135 - 13*m**6/540 - m**5/90 + m**4/6 - 2*m**2 + 5*m. Let r(c) = 0. What is c?
-1, 0, 2, 3
Let l(t) be the second derivative of -t**9/60480 - t**8/26880 + t**4/3 + t. Let j(k) be the third derivative of l(k). Factor j(n).
-n**3*(n + 1)/4
Let q(c) be the first derivative of 6*c**5/5 + c**4 - 8*c**3/3 - 2*c**2 + 2*c + 4. Let q(v) = 0. Calculate v.
-1, 1/3, 1
Let t = 278 + -1667/6. Let 1/2*u**4 + 5/6*u - t*u**2 - 5/6*u**3 - 1/3 = 0. Calculate u.
-1, 2/3, 1
Let g(o) be the first derivative of -o**4/72 + o**2/12 - 2*o + 9. Let r(w) be the first derivative of g(w). Let r(b) = 0. Calculate b.
-1, 1
Let m(f) be the third derivative of -3*f**7/140 + f**6/80 + f**5/15 - f**4/12 + 3*f**2. Factor m(d).
-d*(d + 1)*(3*d - 2)**2/2
Let b(n) = -6*n**2 + 4*n - 8. Let s(y) = -4*y**2 + 2*y - 4. Let h(q) = -3*b(q) + 5*s(q). Suppose h(a) = 0. What is a?
-2, 1
Factor 40/7*k + 52/7*k**2 - 16/7 + 2*k**3.
2*(k + 2)**2*(7*k - 2)/7
Suppose 0 = 6*f - f. Let v(c) be the third derivative of 0*c**4 + 1/420*c**6 + 0 + 0*c + f*c**3 + c**2 + 1/210*c**5. Factor v(w).
2*w**2*(w + 1)/7
Let f(x) = x**2 + 9*x + 2. Let a be f(-9). Factor 0 + 1/2*m**a - 1/4*m**3 - 1/4*m.
-m*(m - 1)**2/4
Let u = 218 - 215. Find f, given that 2*f + 4/5 + 8/5*f**u - 22/5*f**2 = 0.
-1/4, 1, 2
Let o be 2/(-10) + (-7581)/(-1155). Let r = 298/33 - o. Factor 2/3*s**2 - r*s + 8/3.
2*(s - 2)**2/3
Let f(a) = -9*a**2 + 38*a - 6. Let r be f(4). Solve 2/3 + 5/3*p - 8*p**r - 9*p**3 = 0.
-1, -2/9, 1/3
Let i be 1/(6/(2 + 0)). Let u(o) = o**2 + 3*o + 2. Let l be u(-2). Factor i*b**2 + l*b + 0.
b**2/3
Let g = 120 + -1197/10. Let f(i) be the second derivative of 0*i**2 + 0 + g*i**5 + 7/30*i**4 + 1/15*i**3 