*u(t). Determine o so that c(o) = 0.
-1, 0, 1
Let t(f) be the first derivative of 12/5*f**2 + f**3 + 12/5*f + 3/20*f**4 + 2. Determine z so that t(z) = 0.
-2, -1
Let m = -1 + 3. Factor -2*d - 3 + 0 - m*d**2 - 1 + 4*d**2.
2*(d - 2)*(d + 1)
Let q be 4*-11*(-1)/(-12) + 4. Factor 0*b + 0 - 2/3*b**2 + q*b**3.
b**2*(b - 2)/3
Let i(d) = -d**3 - 7*d**2 - 5*d + 8. Let y be i(-6). Suppose -q**y + 3*q - 3 - q**2 + q + 1 = 0. What is q?
1
Let d(w) be the first derivative of 2*w**4/7 + 46*w**3/21 + 30*w**2/7 - 18*w/7 - 7. Factor d(s).
2*(s + 3)**2*(4*s - 1)/7
Suppose -1 = -4*a + 7. Let o(x) be the first derivative of -1 - 3/7*x**a + 1/7*x**4 + 4/21*x**3 + 1/21*x**6 + 2/7*x - 6/35*x**5. Factor o(s).
2*(s - 1)**4*(s + 1)/7
Find n such that 0 + 2/3*n**3 - 10/3*n**2 + 0*n = 0.
0, 5
Let y be (-8)/(-6)*(-9)/(-12)*4. Let h = 1 - 1. Factor h*t**3 + 0 + 1/5*t**y + 0*t - 1/5*t**2.
t**2*(t - 1)*(t + 1)/5
Let g(c) = 4*c**2 + 2*c + 1. Let n be g(-1). Let o(i) be the first derivative of 0*i + 5/3*i**3 - n - 3/4*i**4 - i**2. Factor o(j).
-j*(j - 1)*(3*j - 2)
Let s = 4736/4257 - 2/1419. Factor -14/9*k**3 + 2/3*k**4 + s*k**2 - 2/9*k + 0.
2*k*(k - 1)**2*(3*k - 1)/9
Let s(i) = 4*i**2 - 3*i**2 - 2*i**2. Let m = 12 - 11. Let b(y) = -2*y**3 - 14*y**2 + 2*y + 2. Let n(q) = m*b(q) - 12*s(q). Solve n(a) = 0.
-1, 1
Let h = 0 - -1. Factor -9*a**2 + 25*a + 0 - 4*a - 5 - h.
-3*(a - 2)*(3*a - 1)
Let a = -49/66 + 10/11. Let i(n) be the first derivative of 1/2*n**2 + 2/3*n**3 + 0*n**4 - 2/5*n**5 + 0*n - 3 - a*n**6. Factor i(x).
-x*(x - 1)*(x + 1)**3
Let g(m) be the first derivative of -1/36*m**6 + 1/18*m**3 - 3 - 1/30*m**5 + 0*m**2 + 0*m + 1/24*m**4. Factor g(r).
-r**2*(r - 1)*(r + 1)**2/6
Let x be 1 + -4 - (-353)/90. Let i = x - 7/10. Find r such that -2/9*r**3 + 2/9 - i*r**2 + 2/9*r = 0.
-1, 1
Determine a, given that 6*a - 2*a + 1 + a**2 - 6*a = 0.
1
Let 2/7*k**5 - 2/7*k**4 + 2/7*k**2 + 0 + 0*k - 2/7*k**3 = 0. What is k?
-1, 0, 1
Let x(m) = -2*m**4 - 5*m**3 + m**2 + 3*m - 3. Let s(l) = -5*l**4 - 11*l**3 + 2*l**2 + 7*l - 7. Let y(a) = -6*s(a) + 14*x(a). Factor y(b).
2*b**2*(b - 1)**2
Find n, given that 4/5*n + 0 - 2/5*n**2 - 2/5*n**3 = 0.
-2, 0, 1
Let t(p) = -3*p**3 - p**2 + 4*p - 4. Let c be 0*(-3)/(2 + -8). Let l(v) = -3*v + c*v**3 + 2*v + v**3 + 1. Let w(s) = 4*l(s) + t(s). Find g such that w(g) = 0.
0, 1
Let b(k) be the first derivative of -k**4/6 - 2*k**3/9 - 3. What is u in b(u) = 0?
-1, 0
Suppose 0 = -0*u - 4*u - 440. Let m be (-10)/(-55) + (-68)/u. Solve -m + 2/5*w + 2/5*w**2 = 0 for w.
-2, 1
Suppose 6*w = w - 790. Let i = w - -1110/7. Suppose -2/7 - i*l + 4/7*l**3 + 8/7*l**2 - 6/7*l**4 = 0. Calculate l.
-1, -1/3, 1
Let w(x) = -x - x + 2*x**2 + 2*x**2 + 4. Let o(n) = -5*n**2 + 2*n - 5. Suppose 2*j = j + 3*t - 5, 5*j + 4*t - 32 = 0. Let z(c) = j*w(c) + 3*o(c). Factor z(b).
(b - 1)**2
Let h = 12 + -7. Let q(l) be the first derivative of 0*l**3 + 0*l**2 + 0*l**4 + 0*l - 2 - 2/35*l**h. Solve q(d) = 0 for d.
0
Suppose 2*f - 6*f + 48 = 0. Factor 8*l**2 + 3*l**4 + 2*l - 2*l**5 + 4*l**5 + 0*l**2 + 5*l**4 + f*l**3.
2*l*(l + 1)**4
Let f(x) be the first derivative of -x**4/8 - x**3 - 9*x**2/4 - 2*x + 8. Factor f(r).
-(r + 1)**2*(r + 4)/2
Let r(w) be the first derivative of -w**3/3 + w**2 - 29. Find j such that r(j) = 0.
0, 2
Let l(b) = 30*b**4 + 24*b**3 + 2*b**2 - 2*b + 2. Let j(k) = -61*k**4 - 49*k**3 - 3*k**2 + 5*k - 5. Let p(o) = -2*j(o) - 5*l(o). Factor p(z).
-2*z**2*(2*z + 1)*(7*z + 2)
Factor -9/2*b**2 + 0*b**3 + 0 - 3*b + 3/2*b**4.
3*b*(b - 2)*(b + 1)**2/2
Let g(f) be the second derivative of f**6/75 + 4*f**5/25 + 3*f**4/5 + 16*f**3/15 + f**2 + 13*f. What is s in g(s) = 0?
-5, -1
Let b(u) be the first derivative of -18*u - 12*u**2 + 22/3*u**3 - 3 - u**4. Factor b(z).
-2*(z - 3)**2*(2*z + 1)
Let o = 1 + 2. Suppose -u = 2*a, 3*u + u + o*a = 5. Factor -2/9*f**4 + 0 + 4/9*f**3 + 0*f + 0*f**u.
-2*f**3*(f - 2)/9
Let f(z) be the third derivative of -z**5/330 + z**4/66 - z**3/33 - 5*z**2. Suppose f(l) = 0. What is l?
1
Let g(w) be the second derivative of 4*w**6/15 + w**5/5 - 2*w**4/3 - 2*w**3/3 - 13*w. Solve g(k) = 0 for k.
-1, -1/2, 0, 1
Suppose 11*z**3 - 2*z**2 - 3*z**3 + 2 + 4*z - 12*z**2 + 0 = 0. Calculate z.
-1/4, 1
Let v(c) = 2*c**4 - 4*c**3 - 14*c**2 - 4. Let k(q) = q**4 + q**3 - q**2 + q - 1. Let d(i) = -4*k(i) + v(i). Let d(o) = 0. Calculate o.
-2, -1, 0
Let i(v) be the third derivative of v**6/30 + v**5/5 - 8*v**3/3 + 22*v**2. Factor i(t).
4*(t - 1)*(t + 2)**2
Let t = -119 + 121. Let p(c) be the first derivative of 18/25*c**5 - 22/15*c**3 + 3 - 11/5*c**t - 4/5*c + 3/2*c**4. Let p(q) = 0. What is q?
-2, -1/3, 1
Let z(f) be the second derivative of f**6/60 + f**5/10 + f**4/4 + f**3/3 + f**2/4 - 44*f. Determine c, given that z(c) = 0.
-1
Suppose t - s = -5*s + 2, 3*t = -3*s + 6. Find m such that -4/5*m - 8/5*m**3 + 0 - 2/5*m**4 - 2*m**t = 0.
-2, -1, 0
Let a be 38/(-1)*2/(-4). Let s = a + -17. What is q in 0*q**s + 4/3*q**4 + 0 + 2/3*q**3 + 2/3*q**5 + 0*q = 0?
-1, 0
Suppose 0 = -2*u - 2, 4*j + j = -u + 9. Let x be (-6)/8 - (0 - 1). What is d in 1/2*d**4 + 0*d**3 + x*d**5 + 0*d + 0 + 0*d**j = 0?
-2, 0
Let l(o) be the first derivative of -o**6/3 + 2*o**5/5 + 3*o**4/2 - 10*o**3/3 + 2*o**2 + 36. Find g such that l(g) = 0.
-2, 0, 1
Let w = -36 + 39. Let l(i) be the second derivative of -1/36*i**4 - 3*i - 1/9*i**w - 1/6*i**2 + 0. Suppose l(x) = 0. What is x?
-1
Let v be ((-4)/(-8)*2)/4. Let c(u) be the first derivative of 0*u + 1/2*u**2 - v*u**4 + 0*u**3 - 1. Determine q, given that c(q) = 0.
-1, 0, 1
Let t(p) be the first derivative of p**7/210 - p**5/60 + 3*p**2/2 - 8. Let h(f) be the second derivative of t(f). Factor h(r).
r**2*(r - 1)*(r + 1)
Let h = 5 + -4. Let s = h + 2. Factor -q + q**4 + q**2 - 3*q**2 + 4*q**s + q**2 - 3*q**3.
q*(q - 1)*(q + 1)**2
Let w(v) be the second derivative of v**7/120 + v**6/8 + v**5/5 - v**4/4 - 7*v. Let i(d) be the third derivative of w(d). Factor i(s).
3*(s + 4)*(7*s + 2)
Let u(p) be the first derivative of -5*p**6/6 - 2*p**5 + 5*p**4/2 + 40*p**3/3 + 35*p**2/2 + 10*p + 1. Factor u(l).
-5*(l - 2)*(l + 1)**4
Let d be -2*3/6 - 44/(-28). Factor -d*l**2 + 2/7 + 2/7*l**5 + 2/7*l + 2/7*l**4 - 4/7*l**3.
2*(l - 1)**2*(l + 1)**3/7
Let u(t) be the third derivative of -t**8/80640 - t**7/3360 - t**6/320 + t**5/12 + 2*t**2. Let c(y) be the third derivative of u(y). Factor c(a).
-(a + 3)**2/4
Suppose 2*o = 10, 4 = -3*y + 2*o - 0. Factor f - f**y - 8*f + 6 - 2*f**2.
-(f + 3)*(3*f - 2)
Solve -14 - 22*l**2 - 4*l**3 + 12*l**3 + 17 - 7*l = 0 for l.
-1/2, 1/4, 3
Let p(z) = 2*z**3 - 4*z**2 - 6*z. Let h be p(3). Factor -3/2*c + h + 3/2*c**2.
3*c*(c - 1)/2
Let g(l) be the second derivative of -1/6*l**3 + 1/120*l**6 + 1/8*l**4 - 1/20*l**5 + 1/8*l**2 - 5*l + 0. Factor g(r).
(r - 1)**4/4
Let t = -2 + 4. Factor 18*b**5 - b**t - 3*b**2 - 8*b**4 - 20*b**5 - 10*b**3.
-2*b**2*(b + 1)**2*(b + 2)
Let l(v) be the second derivative of v**7/14 + 3*v**6/10 - v**4 - v + 11. Factor l(a).
3*a**2*(a - 1)*(a + 2)**2
Let o(z) be the third derivative of 1/90*z**5 + 0 + 0*z**3 + 0*z + 5*z**2 - 1/360*z**6 + 0*z**4. Factor o(a).
-a**2*(a - 2)/3
Let p = -875 - -4389/5. Factor -32/5*k - p*k**4 - 38/5*k**3 - 10*k**2 - 8/5 - 2/5*k**5.
-2*(k + 1)**3*(k + 2)**2/5
Let b(s) = -4*s**5 + 19*s**4 + 7*s**2 + 7. Let y(t) = t**5 - 6*t**4 - 2*t**2 - 2. Let x(o) = -2*b(o) - 7*y(o). Determine w, given that x(w) = 0.
-4, 0
Factor 2/11*q**3 - 4/11*q**4 + 0 + 2/11*q**5 + 0*q**2 + 0*q.
2*q**3*(q - 1)**2/11
Let z be 38/((-2)/(-6)*-2). Let j be z/(-30) + 6/(-4). Suppose 2/5*q + 0 - j*q**2 = 0. What is q?
0, 1
Let t(r) = -3*r - 3. Let b be t(-3). Let m(a) be the second derivative of 0*a**2 - 1/60*a**b - 1/20*a**5 + 1/24*a**4 - 3*a + 0 + 1/6*a**3. Solve m(h) = 0 for h.
-2, -1, 0, 1
Let i(p) be the second derivative of -p**6/15 - 2*p**5/5 - p**4 - 4*p**3/3 - p**2 + 22*p. Factor i(j).
-2*(j + 1)**4
Let z = 113 + -212. Let g = -493/5 - z. Let 3/5*j**2 + 0*j**3 - 1/5*j**4 + 0 + g*j = 0. Calculate j.
-1, 0, 2
Suppose -2*j - 4 = -5*g - 0, 2*g = -j + 7. Factor v**g - 6*v**4 + 0*v**5 + v**4 + 3*v**5 + v**3.
v**2*(v - 1)**2*(3*v + 1)
Let o(w) = 4*w**2 - 4*w - 9. Let l(c) be the first derivative of 2*c**3/3 - c**2 - 4*c - 1. Let z(i) = -9*l(i) + 4*o(i). Factor z(s).
-2*s*(s - 1)
Let p(s) be the third derivative of 0 + 1/1176*s**8 +