et a(i) = 0. What is i?
0, 1
Let y(x) = -2*x**2 - 5*x - 3. Let v(d) = -d - 1. Let b(p) = -6*v(p) - 2*y(p). Let b(s) = 0. What is s?
-3, -1
Let w(l) = 31*l**3 - 15*l**2 - 45*l - 10. Let s(i) = -6*i**3 + 3*i**2 + 9*i + 2. Let p(u) = -33*s(u) - 6*w(u). Factor p(y).
3*(y - 2)*(y + 1)*(4*y + 1)
Let p(x) be the second derivative of -3*x**5/20 - 2*x**4 - 13*x**3/2 - 9*x**2 + 32*x. Factor p(i).
-3*(i + 1)**2*(i + 6)
Let y(k) be the third derivative of 0*k**5 + 0*k - 1/210*k**6 - 1/21*k**3 + 1/735*k**7 - 2*k**2 + 0 + 1/42*k**4. Factor y(z).
2*(z - 1)**3*(z + 1)/7
Let t(u) = -u**2 + 2*u + 3. Let f be t(3). Determine c so that 3*c**2 - 5*c - 4*c + 0 + f + 6 = 0.
1, 2
Let j(s) be the third derivative of -s**6/1080 + s**5/360 - s**3/6 + s**2. Let q(b) be the first derivative of j(b). Factor q(m).
-m*(m - 1)/3
Let v(a) be the first derivative of -a**4/8 - a**3/3 - a**2/4 - 7. Factor v(m).
-m*(m + 1)**2/2
Factor -2/7*j - 2/7*j**2 + 2/7*j**3 + 0 + 2/7*j**4.
2*j*(j - 1)*(j + 1)**2/7
Let b(f) = 3*f**2 - 3*f - 3. Let a(p) = p**3 + 2*p**2 - 3*p - 4. Let u(x) = -3*a(x) + 4*b(x). Suppose u(i) = 0. Calculate i.
0, 1
Let q(u) = 2*u - 1. Let t be q(3). Suppose -5*w + 40 = t*h, -3*w + 6*w = -4*h + 27. Factor 0*k + 2/9*k**h + 4/9*k**2 + 0.
2*k**2*(k + 2)/9
Let x be (-20)/16*32/(-60). Factor 4/9 + x*n + 2/9*n**2.
2*(n + 1)*(n + 2)/9
Let q(d) = -7*d**5 + 22*d**4 - 12*d**3 + d**2 + 5*d + 3. Let p(a) = 7*a**5 - 23*a**4 + 11*a**3 - a**2 - 6*a - 4. Let h(i) = -3*p(i) - 4*q(i). Factor h(z).
z*(z - 1)**3*(7*z + 2)
Let n(v) be the first derivative of 1/18*v**4 + v + 1 - 2/3*v**2 + 1/9*v**3. Let c(l) be the first derivative of n(l). Factor c(i).
2*(i - 1)*(i + 2)/3
Let y be -5*(-6 + 3 - -2). Solve 2*o**3 - o + o**3 - y*o**3 + 3*o = 0 for o.
-1, 0, 1
Let w(y) = y**3 - 6*y**2 - 10*y + 3. Let f be w(7). Let z be -4*(2 + 39/f). Factor 0 - z*c**2 + 2/3*c.
-2*c*(c - 1)/3
Suppose 9 + 6 = 5*c. Let o(a) = -a**3 + 4*a**2 - a - 3. Let d be o(c). Factor -4/3*f - 49/3*f**d + 0 - 28/3*f**2.
-f*(7*f + 2)**2/3
Let t be -2*3*2/(-18). Factor 2/3*u**5 + 0 - t*u - 4/3*u**4 + 0*u**3 + 4/3*u**2.
2*u*(u - 1)**3*(u + 1)/3
Suppose 0 = 5*b + 3 - 18. Factor 12*k - 4*k**3 + 2*k**2 - 24 + k**3 + b*k**2 + k**2.
-3*(k - 2)**2*(k + 2)
Factor 4*n**2 + 2/3 - 8/3*n - 8/3*n**3 + 2/3*n**4.
2*(n - 1)**4/3
Let t(j) = -j**4 - j**2 - j - 1. Let o(s) = -s**4 - 6*s**3 + 6*s**2 - 2*s - 2. Let p(h) = 3*o(h) - 6*t(h). Factor p(g).
3*g**2*(g - 4)*(g - 2)
Let w be (0*4/(-32))/(-1). Factor 1/2*v**5 + 1/2*v**3 + v**4 + w*v + 0*v**2 + 0.
v**3*(v + 1)**2/2
Solve -7*w**3 + 8*w**2 - 12*w**2 + 27*w**3 + 40*w**2 - 28*w**5 + 8*w - 36*w**4 = 0.
-1, -2/7, 0, 1
Let a(u) = -4*u**3 - 20*u**2 + 76*u + 104. Let j(r) = -r**3 + r**2 + r + 1. Let i(s) = -a(s) + 6*j(s). Solve i(d) = 0 for d.
-1, 7
Suppose 4*u - 22 = -2. Solve 1/3*v**u - 2/3*v**2 + v**4 + 2/3*v**3 - v - 1/3 = 0.
-1, 1
Let p be ((-10)/(-14))/((-3)/(-330)). Let y = -78 + p. Find s, given that 2/7*s**3 + 0 - 10/7*s**2 + y*s + 10/7*s**4 - 6/7*s**5 = 0.
-1, 0, 2/3, 1
Let v = 144 + -142. Suppose -2/15*h - 2/15*h**v + 4/15 = 0. What is h?
-2, 1
Let q = 10 + -6. Suppose -8 = -q*u + 12. Factor x**4 + x**u - x**3 - x**2 + 0*x**5 + 0*x**5.
x**2*(x - 1)*(x + 1)**2
Let z(c) = -c**4 - 4*c**3 - 15*c**2 + 26*c + 26. Let r(h) = -15*h**4 - 55*h**3 - 210*h**2 + 365*h + 365. Let i(a) = 6*r(a) - 85*z(a). Factor i(x).
-5*(x - 2)**2*(x + 1)**2
Let k(l) be the first derivative of 9*l**4/4 - 2*l**3/3 - 9*l**2/2 + 2*l + 4. Factor k(n).
(n - 1)*(n + 1)*(9*n - 2)
Let p be (-2)/1 + 4/(-4). Let z(h) = -h**2 - 5*h - 3. Let k be z(p). Determine x, given that 3 - 1 - k*x**2 + x**2 = 0.
-1, 1
Let -5*l**2 + l**4 - 2*l**2 + 0*l**4 + 2*l**2 + 3*l + l**3 = 0. What is l?
-3, 0, 1
Determine z, given that -5*z**2 + 4*z + z + 0*z**2 - 20*z = 0.
-3, 0
Let v = 660 + -657. Solve 16/3 + 8*z + 4*z**2 + 2/3*z**v = 0.
-2
Let 0*d**2 - 4*d**2 - 12 + 31*d - 15*d = 0. What is d?
1, 3
Let a(b) = b + 1. Let h be a(2). Let x = h - 0. What is v in -3*v - 72*v**2 - 24*v**5 - 74*v**5 - 5*v - 218*v**x - 252*v**4 = 0?
-1, -2/7, 0
Let g(y) be the third derivative of -y**8/336 + y**7/210 + y**6/120 - y**5/60 + 7*y**2. Determine m, given that g(m) = 0.
-1, 0, 1
Suppose -5*r - t + 0*t = 0, 3*r - 4*t = 0. Let u(j) be the first derivative of 1 + 1/2*j**4 + 2*j**2 + r*j + 2*j**3. Factor u(w).
2*w*(w + 1)*(w + 2)
Suppose -10 = -7*i + 2*i. Suppose 11 = 4*u + d + i, 3*u - 5*d = 24. Factor 2 - g**3 + g + 6*g**2 + 3*g**u + 0*g**3 + 5*g.
2*(g + 1)**3
Suppose -8 - 27*g**3 + 14*g**3 - 9*g + 2 + 16*g**3 = 0. Calculate g.
-1, 2
Suppose a**5 + 42*a**4 - 55*a**3 - 10*a**5 - 62*a**2 - 5*a**3 + 86*a**2 = 0. Calculate a.
0, 2/3, 2
Let a = 8 + -5. Let q be 2/a - 0/(-10). Let q*s - 2/3*s**3 + 0*s**2 + 0 = 0. Calculate s.
-1, 0, 1
Let d(p) be the first derivative of -2*p**3/57 - 3*p**2/19 - 4*p/19 - 1. Factor d(g).
-2*(g + 1)*(g + 2)/19
Let w be (-21)/(-4) - (-1)/(-4). Suppose 3*x + 4*b - 26 + w = 0, -3*x = -4*b + 3. Determine n so that -3/5*n + 0*n**2 + 3/5*n**x + 0 = 0.
-1, 0, 1
Let l(d) be the third derivative of d**8/84 + 8*d**7/105 + d**6/6 + 2*d**5/15 - d**2. Determine v so that l(v) = 0.
-2, -1, 0
Let i(f) be the first derivative of f**4/10 - 4*f**3/15 + f**2/5 - 10. Find m, given that i(m) = 0.
0, 1
Let t(q) = 34*q + 139. Let v be t(-4). Determine m, given that 2/3*m + 7/3*m**2 - 1/3 + 4/3*m**v = 0.
-1, 1/4
Let r(g) be the second derivative of g**5/140 - g**4/84 - 2*g**3/21 + 2*g**2/7 + 6*g. Factor r(t).
(t - 2)*(t - 1)*(t + 2)/7
Let v be (-2 - -8)*3/6. Solve 8*s**v - 4*s**5 + 4*s - 10*s + 2*s = 0.
-1, 0, 1
Let m = -866/5 - -174. Factor -6/5*d**2 - 4/5*d - 1/5*d**4 - 1/5 - m*d**3.
-(d + 1)**4/5
Factor 3*f**2 - 9/5 - 6/5*f.
3*(f - 1)*(5*f + 3)/5
Let p(b) be the third derivative of b**5/180 - 2*b**3/9 + 6*b**2. Factor p(m).
(m - 2)*(m + 2)/3
Let r(k) = -k**2 + 8*k + 11. Let y be r(9). Let 0 - 3/2*c**y + c = 0. Calculate c.
0, 2/3
Let q(c) be the first derivative of -c**4/8 + c**3/6 - 26. Factor q(y).
-y**2*(y - 1)/2
Let t(n) be the first derivative of -3/5*n**2 + 1/5*n**3 + 5 + 0*n. Factor t(a).
3*a*(a - 2)/5
Let c(z) be the first derivative of 2/27*z**3 + 0*z - 1/18*z**4 - 6 + 0*z**2. Find u such that c(u) = 0.
0, 1
Let z(q) = -3*q - 12. Let c be z(-5). Let k be 9/3 + -6 + c. Factor 0*x + k*x**3 + 0 + 2/3*x**4 + 0*x**2 - 2/3*x**5.
-2*x**4*(x - 1)/3
Let -3/4*z**3 + 3/4*z**2 + 3/4*z - 3/4 = 0. Calculate z.
-1, 1
Let f(s) be the second derivative of -1/30*s**6 - 3*s + 0 + 3/2*s**2 + 2/3*s**3 - 1/6*s**4 - 1/5*s**5. Factor f(u).
-(u - 1)*(u + 1)**2*(u + 3)
Let o be 6*(-3 - (-64)/20). Factor -4/5*p**3 - o*p**4 + 0 - 2/5*p**5 + 0*p + 0*p**2.
-2*p**3*(p + 1)*(p + 2)/5
Factor 0*o - 8/9*o**3 + 0 + 8/9*o**2 + 2/9*o**4.
2*o**2*(o - 2)**2/9
Let m = -13 + 27/2. Factor -1/4 - 1/4*p**2 + m*p.
-(p - 1)**2/4
Determine j so that 4*j**3 - 4*j**2 + 2*j**3 - 11*j**3 - j**2 = 0.
-1, 0
Let i(d) be the first derivative of 3*d**4/8 + 2*d**3 - 33*d**2/4 + 9*d + 30. Factor i(s).
3*(s - 1)**2*(s + 6)/2
Factor -4/11*t + 2/11 + 2/11*t**2.
2*(t - 1)**2/11
Let b(l) be the first derivative of l**6/24 - 3*l**5/20 + l**4/8 + 7. Find u such that b(u) = 0.
0, 1, 2
Let n(d) be the third derivative of -d**6/120 + d**5/40 + d**3/3 - 5*d**2. Let h(t) be the first derivative of n(t). Factor h(l).
-3*l*(l - 1)
Suppose 3*m - 5*c = 27, 26 = 5*m + c - 3*c. Factor -3*o**5 - m*o**2 + 3*o**4 + 2*o**5 + 0*o**4.
-o**2*(o - 2)**2*(o + 1)
Let i(c) be the third derivative of 0 + 1/300*c**6 - 1/15*c**3 + 0*c - 2/525*c**7 + 1/50*c**5 + 4*c**2 - 1/60*c**4. Find u, given that i(u) = 0.
-1, -1/2, 1
Find y, given that -8 + 14*y**2 + 0*y + 0 - 10*y**2 + 4*y = 0.
-2, 1
Suppose -6*c + 27*c**2 - 45/2*c**3 - 75/4*c**4 + 0 = 0. Calculate c.
-2, 0, 2/5
Let p(u) be the third derivative of u**8/336 - u**7/105 - u**6/120 + u**5/30 - 59*u**2. Find g, given that p(g) = 0.
-1, 0, 1, 2
Suppose 15 = -2*t - t, 10 = 4*h + 2*t. Let 5*u**2 - 4 - 3*u**4 - u**2 + u**4 + 2 - 4*u**3 + 2*u**h + 2*u = 0. What is u?
-1, 1
Let t be (4/7)/(-2)*-7. Let g(r) = r**3 + r**2 + 6. Let y be g(0). Let 0*o + t*o**2 + 6*o**3 + 2*o + y*o**2 = 0. What is o?
-1, -1/3, 0
Let 2/7 + 6/7*i + 6/7*i**2 + 2/7*i**3 = 0. What is i?
-1
Factor 8*a**3 + 8*a + 4*a**4 - 8*a + 4*a**2.
4*a**2*(a + 1)**2
Let u(o) be the first derivative of o**6/6 - 3*o**4/4 - 2*o**3/3 +