2)
Solve 0 + 3 + 0 + 6*o + 1 + 2*o**2 = 0 for o.
-2, -1
Let g(t) = -4*t**4 + 6*t**3 + 5*t. Let a(w) = 3*w**4 - 5*w**3 - 4*w. Let z(b) = -5*a(b) - 4*g(b). Solve z(o) = 0 for o.
-1, 0
Let z(u) = u**5 - u**4 + u**3 + u**2 - u + 1. Let g(q) = 11*q**5 - 5*q**4 + q**3 + 5*q**2 - 3*q + 9. Let a(j) = -2*g(j) + 18*z(j). What is f in a(f) = 0?
-3, -1, 0, 1
Suppose 3*n - 15 = 5*d, -2*d - 4*n - 15 = -7*n. Let i(f) be the second derivative of 1/24*f**3 + d*f**2 - 1/48*f**4 + 2*f + 0. Let i(m) = 0. Calculate m.
0, 1
Factor -3*t**5 + 12*t**3 - 3*t**4 - 20*t**3 + 11*t**3 + 3*t**2.
-3*t**2*(t - 1)*(t + 1)**2
Suppose -8*z = z - 45. Let n(s) be the second derivative of -s + 0 + 1/3*s**3 - s**2 + 3/10*s**z + 5/6*s**4. Factor n(a).
2*(a + 1)**2*(3*a - 1)
Let l(y) be the third derivative of y**7/315 + y**6/60 + y**5/30 + y**4/36 + 8*y**2. Determine a, given that l(a) = 0.
-1, 0
Let g(f) = -f**3 - 3*f**2 + 3*f - 4. Let l be g(-4). Suppose w - 5*w + 5*r + 6 = l, -4 = -3*w + 4*r. Factor -4*s**2 + 7*s**w - 2*s**3 - s**4 + 0*s**2.
2*s**2*(s - 1)*(3*s + 2)
Let l(m) = -15*m**3 - 265*m**2 + 560*m - 195. Let p(w) = w**3 + 19*w**2 - 40*w + 14. Let z(y) = -6*l(y) - 85*p(y). Let z(d) = 0. What is d?
1, 2
Let 49*g**3 - 8*g**4 - 19*g**2 + 72 - 13*g**3 + 12*g**4 + 135*g**2 + 156*g = 0. What is g?
-3, -2, -1
Let n(c) be the first derivative of c**4/6 - 5*c**3/9 + 2*c**2/3 - c/3 - 1. Solve n(f) = 0 for f.
1/2, 1
Let z = 2 + -5. Let f(u) = 0 + 0 + 5*u**3 - 10*u**2 + 3*u**2 + 5*u. Let p(i) = 10*i**3 - 14*i**2 + 11*i. Let l(c) = z*p(c) + 7*f(c). Solve l(g) = 0 for g.
0, 2/5, 1
Suppose -q + 2 - 5 = 0. Let p = -1 - q. Suppose 2*b**p - b**3 + b**4 - 3*b**4 - b**4 = 0. Calculate b.
-1, 0, 2/3
What is t in -5*t - 5*t**3 - 7*t**3 - 7*t + 8 - 32*t**2 = 0?
-2, -1, 1/3
Let t = -35 + 20. Let s be (6/9)/((-2)/t). Let 24/7*z**s + 0*z**3 + 26/7*z**4 - 2/7*z**2 + 0*z + 0 = 0. Calculate z.
-1, -1/3, 0, 1/4
Let s be 2/(3 + 1)*0. Suppose 24 = 2*y - 5*m - s, -3*y - 4*m = 10. Suppose 2/5*a**3 + 0*a - 6/5*a**y + 8/5 = 0. Calculate a.
-1, 2
Suppose 8 = -83*k + 87*k. Factor -2/3*x + 0 - 2/3*x**3 - 4/3*x**k.
-2*x*(x + 1)**2/3
Let v(s) be the first derivative of -4*s**5/5 - 7*s**4 - 24*s**3 - 40*s**2 - 32*s - 16. Suppose v(t) = 0. What is t?
-2, -1
Let g(f) be the second derivative of 2*f**6/15 + 3*f**5/5 + 2*f**4/3 - 9*f. Determine s so that g(s) = 0.
-2, -1, 0
Let d(o) = -3*o**2 - 1. Let f be d(1). Let p = 4 + f. Factor 3*j**3 + p + 0*j + 27/2*j**4 + 0*j**2 + 15*j**5.
3*j**3*(2*j + 1)*(5*j + 2)/2
Let y(j) = -j**3 + j**2 + j + 2. Let f be y(2). Let p = -4 - -6. Solve 0*b**p + 0 + 0*b + f*b**3 - 1/2*b**4 = 0.
0
Let n(c) = c**2. Let k be n(-2). Suppose 0 = -k*h - h. Find m, given that 1/3*m**5 + h + 1/3*m**2 + m**4 + m**3 + 0*m = 0.
-1, 0
Let g be 1032*(-1)/(-12)*40/15. Find r such that 686/3*r**5 - 224/3*r**3 + g*r**2 + 96*r - 490*r**4 + 32/3 = 0.
-2/7, 1, 2
Let x = -12 + 18. Suppose -x*s**2 + 3*s**4 + 4*s**3 - 4*s**4 - 1 + 4*s - 2*s**3 + 2*s**3 = 0. Calculate s.
1
Find m, given that 4 + 0*m + 8*m + 0*m + 4*m**2 = 0.
-1
Let a(g) be the second derivative of -1/12*g**3 + 0 + 1/40*g**5 + 0*g**2 + 8*g + 0*g**4. Let a(s) = 0. What is s?
-1, 0, 1
Let n(c) be the second derivative of -c**9/7560 + c**7/1260 - c**4/6 - 3*c. Let y(j) be the third derivative of n(j). Let y(z) = 0. What is z?
-1, 0, 1
Let d(z) be the first derivative of -z**6/3 - 4*z**5/5 + 4*z**4 + 32*z**3/3 - 16*z**2 - 64*z - 6. Factor d(b).
-2*(b - 2)**2*(b + 2)**3
Let p(a) = 3*a**2 - 1. Let d be p(-1). Let q(k) be the third derivative of 1/60*k**5 - d*k**2 + 0*k**3 + 0 + 0*k - 1/24*k**4. Let q(o) = 0. Calculate o.
0, 1
Let b(g) be the third derivative of -g**7/8820 - g**6/1260 - g**5/420 + g**4/6 + g**2. Let n(l) be the second derivative of b(l). Factor n(x).
-2*(x + 1)**2/7
Suppose m - 1 = 2*m. Let d be 3 + 3 + -3 + m. Find r, given that 0*r - 1/3 + 1/3*r**d = 0.
-1, 1
Let y(o) = o**3 - 6*o**2 + o. Let d be y(6). Suppose -25 = n - d*n. Find z such that 2/9*z + 2/9*z**n + 0*z**4 + 0*z**2 + 0 - 4/9*z**3 = 0.
-1, 0, 1
Let u(t) = -18*t**2 - 12*t + 4. Let z = 4 - 6. Let r(k) = -18*k**2 - 11*k + 4. Let b(q) = z*r(q) + 3*u(q). Factor b(n).
-2*(n + 1)*(9*n - 2)
Suppose 0 = -9*k + 4*k + 10. Let q(c) be the second derivative of -2*c - c**3 - 3/2*c**k - 1/4*c**4 + 0. Find w, given that q(w) = 0.
-1
Let t(h) = 8*h**4 - 18*h**3 - 4*h**2 - 20*h + 14. Let i(v) = -3*v**4 + 6*v**3 + v**2 + 7*v - 5. Let k(x) = 14*i(x) + 5*t(x). Factor k(r).
-2*r*(r + 1)**3
Let f(m) = 12*m - 4. Let b be f(3). Let n be (-5)/((-35)/b) + -4. Factor -n*r**2 + 0*r + 0 + 2/7*r**3 + 2/7*r**4.
2*r**2*(r - 1)*(r + 2)/7
Factor -b**4 - 3*b**3 - 3*b + b**4 + 3*b**4 + 6*b**3 - 3*b**2.
3*b*(b - 1)*(b + 1)**2
Let d be (6 - 3)/(180/8). Let y(q) be the first derivative of -2/5*q**2 - d*q**3 - 2/5*q - 2. Factor y(h).
-2*(h + 1)**2/5
Let t(b) = -10*b**2 + 18*b - 14. Let q = -15 - -16. Let j(v) = -v**2 + v - 1. Let m(s) = q*t(s) - 6*j(s). Factor m(k).
-4*(k - 2)*(k - 1)
Let a(g) be the third derivative of 1/16*g**4 + 0 + 0*g + 1/8*g**3 + 2*g**2 + 1/80*g**5. Suppose a(k) = 0. Calculate k.
-1
Suppose 5*a - 26 = -4*b, -2*b + 9 - 1 = 0. Factor -1/3*f + 1/3*f**a + 0.
f*(f - 1)/3
Suppose -4*j - 12 = 4*p + p, 3*p - 15 = 5*j. Find r, given that -14/5*r**3 + 4/5*r**4 + p*r + 14/5*r**5 - 4/5*r**2 + 0 = 0.
-1, -2/7, 0, 1
Let a = 3 + 2. Factor -r + 0*r + 0*r - 4*r**2 + a*r**2.
r*(r - 1)
Let h(r) = -4*r**3 - 2*r**2 + 8*r. Let p(q) = 5*q**3 + 3*q**2 - 9*q + 1. Let y(u) = 6*h(u) + 5*p(u). Let z(g) be the first derivative of y(g). Factor z(c).
3*(c + 1)**2
Let c(i) be the third derivative of -i**5/15 + i**4/2 - 4*i**3/3 + 4*i**2. Let c(q) = 0. Calculate q.
1, 2
Let j(p) be the first derivative of -19/2*p**4 + 2 - p**2 + 14/5*p**5 + 10*p**3 - 4*p. Solve j(u) = 0.
-2/7, 1
Let t(i) be the first derivative of i**4/42 + 2*i**3/21 + 5*i - 6. Let l(b) be the first derivative of t(b). Factor l(z).
2*z*(z + 2)/7
Suppose 3 = -2*w + 9. Suppose 0 = -4*i - w*l + 11, 2*i + 5*l + 35 = 6*i. Let -5*a**2 + 2*a**i - 4*a**3 + 2*a + 5*a**2 = 0. Calculate a.
-1, 0, 1
Let b(r) = -6*r**3 - 29*r**2 + 23*r + 12. Let x(s) = -3 + s**3 + 0*s**3 + 1 + 5*s**2 - 4*s. Let a(d) = -6*b(d) - 34*x(d). Factor a(q).
2*(q - 1)*(q + 1)*(q + 2)
Let g(t) = -t**3 + 10*t**2 + t - 8. Let m be g(10). Suppose -3*s**3 + 0*s**2 + 0*s**m + 3*s = 0. What is s?
-1, 0, 1
Let u = 30 - 30. Suppose 2*p + 0*p = u. Let p - 10/3*o**3 + 14/3*o**2 - 4/3*o = 0. Calculate o.
0, 2/5, 1
Determine s, given that 2/13*s + 2/13*s**3 + 0 + 4/13*s**2 = 0.
-1, 0
Let p be (-6)/(-8)*(-72)/(-243). What is q in 4/9*q - p*q**2 + 0 = 0?
0, 2
Suppose 0 = 4*t + 105 - 17. Let q be (5/(-5))/(t/4). Factor -q*f**3 + 0*f - 2/11*f**4 + 0*f**2 + 0.
-2*f**3*(f + 1)/11
Let b(o) = -o - 3. Let l be b(-8). Let c(s) = s**3 - 9*s**2 - s + 11. Let i be c(9). Factor -l + 2*d**i - 3*d**4 + d**4 + 5.
-2*d**2*(d - 1)*(d + 1)
Let 3/2 - 1/2*j**2 + j = 0. What is j?
-1, 3
Let b(z) be the first derivative of z**6/360 - z**5/90 + z**4/72 - 3*z**2/2 - 1. Let d(f) be the second derivative of b(f). Factor d(o).
o*(o - 1)**2/3
Let c(j) be the third derivative of -j**6/40 + 3*j**5/10 - 9*j**4/8 + 7*j**2. Suppose c(f) = 0. What is f?
0, 3
Let p(z) = -46*z**4 + z**3 + 94*z**2 + 111*z + 31. Let d(t) = 9*t**4 - 19*t**2 - 22*t - 6. Let x(r) = 11*d(r) + 2*p(r). Factor x(b).
(b - 2)*(b + 1)**2*(7*b + 2)
Let v(r) be the third derivative of -3/20*r**5 + 0 + 0*r + 1/40*r**6 + 1/70*r**7 - 2*r**2 - 1/8*r**4 + r**3. Factor v(s).
3*(s - 1)**2*(s + 1)*(s + 2)
Suppose -2/9*i**3 + 1/3*i**2 + 4/9*i - 1/9*i**4 - 4/9 = 0. Calculate i.
-2, 1
Let c(t) be the first derivative of 5 + 2/3*t**2 + 2/27*t**3 + 2*t. Determine j so that c(j) = 0.
-3
Let s = 793/7 - 113. Factor -2/7*f**3 - 2/7*f**2 + 0*f + 2/7*f**4 + 0 + s*f**5.
2*f**2*(f - 1)*(f + 1)**2/7
Factor -10/7*c + 2/7*c**2 + 2/7*c**3 + 6/7.
2*(c - 1)**2*(c + 3)/7
Let j(u) = u**3 + 7*u**2 - u - 5. Let v be j(-7). Suppose -v*p = -0 - 4. Factor -2/5*x**3 + 4/5*x**p + 2/5*x - 4/5.
-2*(x - 2)*(x - 1)*(x + 1)/5
Suppose -20 = -2*g - 8. Suppose -g = -3*m + m. Factor -4*l**3 - 2*l**2 + 2*l**2 + 2*l**m - 2*l**4.
-2*l**3*(l + 1)
Let v be (-1 + 1)*1/2. Let j be -3*1/21 - (-44)/14. Let v + 6*z**4 + 3*z**2 + 21/2*z**j - 3/2*z = 0. What is z?
-1, 0, 1/4
Let l be 3 - 0 - 24/(-80)*-10. What is w in l*w - 2/7*w