 + 1)*(q + 3)**2/21
Determine j so that 24*j - 8*j**2 - 8*j**2 + j**2 - 9 = 0.
3/5, 1
Let z(x) be the second derivative of x**6/480 - x**3/3 - 3*x. Let q(r) be the second derivative of z(r). Factor q(c).
3*c**2/4
Let v be 0/(9/3) - (-9 - -7). Solve -2/3 - 1/3*h + 1/3*h**v = 0 for h.
-1, 2
Suppose 6 = -50*y + 52*y. Factor -1/4*l**y + 1/4*l + 1/4*l**2 - 1/4.
-(l - 1)**2*(l + 1)/4
Let j(h) = 2*h**4 + 11*h**3 + 3*h**2 + 3*h + 3. Let n(c) = -4*c**4 - 23*c**3 - 7*c**2 - 7*c - 7. Let o(g) = -7*j(g) - 3*n(g). Factor o(s).
-2*s**3*(s + 4)
Let w(u) be the first derivative of -1/2*u**2 + 1 + u**3 + 0*u - 1/2*u**4. Let w(f) = 0. What is f?
0, 1/2, 1
Let u be -4*26/(-160) + (-2)/5. Let t(a) be the first derivative of -1/4*a**2 + u*a + 1 + 1/8*a**4 + 0*a**3 - 1/20*a**5. What is z in t(z) = 0?
-1, 1
Let o(z) be the third derivative of -5*z**8/336 - z**7/3 - 49*z**6/24 + 19*z**2. Solve o(j) = 0 for j.
-7, 0
Let j = 145801/300 + -486. Let w(u) be the third derivative of 1/60*u**4 - 1/525*u**7 + 1/150*u**5 + 0*u**3 - j*u**6 + 0*u + 2*u**2 + 0. Factor w(b).
-2*b*(b - 1)*(b + 1)**2/5
Let h(l) be the second derivative of l**7/189 + 4*l**6/45 + 23*l**5/45 + 10*l**4/9 + 25*l**3/27 - 5*l - 5. Find i such that h(i) = 0.
-5, -1, 0
Factor -2/5 - 8/5*z**3 - 12/5*z**2 - 8/5*z - 2/5*z**4.
-2*(z + 1)**4/5
Let b(h) = h + 11. Let i be b(-5). Suppose 5*r = -5*x, -i*x + 2*x - 2*r = 0. Factor x + 1/2*y**2 - 1/2*y**4 + 1/2*y**3 - 1/2*y.
-y*(y - 1)**2*(y + 1)/2
Let o = -76 + 78. Determine s so that -5/4*s**5 + s - 53/4*s**3 + 7*s**4 + 17/2*s**2 - o = 0.
-2/5, 1, 2
Let n be 10/35 + 5/7. Let u be (-6)/(-24) - n/(-4). Factor 0 - 1/4*q - u*q**2 + 1/4*q**5 + 1/2*q**4 + 0*q**3.
q*(q - 1)*(q + 1)**3/4
Let c = -12 + 8. Let s be -2 + c/((-24)/15). Determine o, given that 0 - o**3 + 0*o - s*o**4 - 1/2*o**2 = 0.
-1, 0
Let p(h) be the first derivative of -h**4/12 + 5*h**3/9 - 7*h**2/6 + h + 11. Factor p(j).
-(j - 3)*(j - 1)**2/3
Let q(y) = 2*y - 2 - 2*y - y - y**3 + 4*y**2. Let t be q(3). Factor -4*h**t + 0*h**4 + 0*h**5 + 4*h**2 - 2*h + 2*h**5.
2*h*(h - 1)**3*(h + 1)
Let g(u) be the second derivative of u**7/3360 - u**6/1440 + u**3/6 - u. Let k(x) be the second derivative of g(x). Let k(f) = 0. Calculate f.
0, 1
Let w(t) be the second derivative of -t**5/40 + t**4/8 + 16*t. Factor w(i).
-i**2*(i - 3)/2
Let q(c) be the third derivative of -c**4/12 - 5*c**3/6 + c**2. Let f be q(-4). Factor -1/5*k**2 - 1/5*k**f + 1/5*k + 1/5.
-(k - 1)*(k + 1)**2/5
Let j(r) be the third derivative of r**7/70 + r**6/20 + 29*r**2 - 1. Factor j(k).
3*k**3*(k + 2)
Suppose 2*r + c + 186 = -0*r, r = -3*c - 103. Let d be 26/r - 40/(-42). Factor 1/3*t**4 + d*t**3 + 0*t**2 - 1/3 - 2/3*t.
(t - 1)*(t + 1)**3/3
Let n(f) be the third derivative of 0*f + 0 + 1/84*f**6 - 1/735*f**7 + 0*f**3 + 0*f**4 - 2/105*f**5 - 6*f**2. Factor n(w).
-2*w**2*(w - 4)*(w - 1)/7
Suppose 6*o - 6 = 4*o. Suppose 3*c = -0*z - o*z, 0 = 5*z - c - 18. Suppose -4*y + 2*y**3 + 4*y**2 + 2*y**z + 0*y - 5*y**3 = 0. What is y?
0, 2
What is l in 7*l - 5*l - 4*l**3 + 10*l + 0 + 8 = 0?
-1, 2
Suppose -s = -0*s. Let w = -484/5 + 97. Determine m so that s*m - w*m**2 + 0 = 0.
0
Let u(z) = 3*z**3 - 17*z**2 + 8*z - 5. Let h(d) = d**3 - 6*d**2 + 3*d - 2. Let m(c) = -11*h(c) + 4*u(c). Factor m(a).
(a - 2)*(a - 1)*(a + 1)
Let y(i) be the second derivative of i**4/16 - 3*i**2/8 + 2*i. Suppose y(p) = 0. What is p?
-1, 1
Let s be 2*2/(-12)*321. Let z = s - -967/9. Factor z*o + 0 - 2/3*o**2 - 10/9*o**3.
-2*o*(o + 1)*(5*o - 2)/9
Solve 2*j**2 + 2*j**2 + 9 - 4*j**4 - 9 = 0 for j.
-1, 0, 1
Let c(t) = -t**2 - 7*t. Let x be c(9). Let z = x + 723/5. Factor -6/5*l**2 + 3/5 + z*l.
-3*(l - 1)*(2*l + 1)/5
Let c = -1 - -3. Suppose 2/7*z**c - 2/7 + 0*z = 0. Calculate z.
-1, 1
Suppose 4*g + 24 = 4*v, -7*g = -11*g - 8. Factor 3/2 + 6*b**3 + 6*b + 3/2*b**v + 9*b**2.
3*(b + 1)**4/2
Let l = -17 + 20. Let z(b) be the second derivative of -1/63*b**7 + 1/9*b**4 - 1/9*b**l - 1/3*b**2 + 1/15*b**5 - 1/45*b**6 + 0 - 2*b. Factor z(p).
-2*(p - 1)**2*(p + 1)**3/3
Let j be (4/(-1050))/(-2 - 0). Let t(r) be the third derivative of 0*r**3 - 1/60*r**4 - j*r**7 + 0*r - 1/50*r**5 + 0 - r**2 - 1/100*r**6. Solve t(c) = 0 for c.
-1, 0
Let p(v) = -284*v**3 - 420*v**2 + 302*v - 48. Let c(s) = -95*s**3 - 140*s**2 + 101*s - 16. Let u(d) = -10*c(d) + 3*p(d). Determine h, given that u(h) = 0.
-2, 2/7
Let t(v) = -v**2 - 4*v - 1. Let n be t(-3). Let -2 - 8*k**2 - k + 9*k + 8*k**3 - n*k**4 + k**2 - 5*k**2 = 0. Calculate k.
1
Let f(p) be the first derivative of p**6/10 + 3*p**5/20 - p + 4. Let r(y) be the first derivative of f(y). Let r(v) = 0. Calculate v.
-1, 0
Let f(s) be the third derivative of s**8/84 + 4*s**7/105 - s**6/30 - 2*s**5/15 + 17*s**2. Factor f(r).
4*r**2*(r - 1)*(r + 1)*(r + 2)
Solve -1/4*z**2 - 25/4 - 5/2*z = 0 for z.
-5
Factor -18/5 - 2/5*q**3 - 6*q - 14/5*q**2.
-2*(q + 1)*(q + 3)**2/5
Suppose -20 = -2*x - 3*x. Let c(o) = o**3 - 5*o**2 + 4*o + 2. Let t be c(x). Factor 1/2*v**t - 1/2*v - 1.
(v - 2)*(v + 1)/2
Let r = -12 - -16. Let j(s) be the first derivative of -3/2*s**r + 1 - 1/3*s**6 + 2/3*s**3 + 0*s + 0*s**2 + 6/5*s**5. Find w, given that j(w) = 0.
0, 1
Let n be (-3 - -3)/(-2 - -3). Suppose 4*q - s - 5 = -4*s, n = -q - 2*s. Solve 2/9*a**5 - 2/9*a + 4/9*a**4 + 0*a**3 + 0 - 4/9*a**q = 0.
-1, 0, 1
Let k(u) be the first derivative of -2/3*u**3 - 1/360*u**5 + 0*u - 2 + 0*u**4 + 0*u**2 + 1/1080*u**6. Let y(d) be the third derivative of k(d). Factor y(v).
v*(v - 1)/3
Let r = -6 - -3. Let i(f) = 6*f**5 - 9*f**4 - 8*f**3 + 7. Let z(s) = s**5 - s**4 - s**3 + 1. Let v(a) = r*i(a) + 21*z(a). Factor v(q).
3*q**3*(q + 1)**2
Let y be (-4)/8 - 7/(-2). Factor -10*l**4 + 9*l**4 + 4*l**5 + y*l**4.
2*l**4*(2*l + 1)
Let c(v) = v**3 - 9*v**2 + 7*v + 10. Let g be c(8). Factor 0 + 2/3*s**3 + 0*s**g - 2/3*s.
2*s*(s - 1)*(s + 1)/3
Suppose -5*m + 4*i - 5 = -6, -4*m + 8 = -5*i. Let f be 2/m + 44/33. Suppose 2*t - f + 8/3*t**2 = 0. Calculate t.
-1, 1/4
Let a(i) be the first derivative of -5*i**3/3 + 20*i**2 - 80*i + 1. Factor a(l).
-5*(l - 4)**2
Let g(o) be the second derivative of 0 + 0*o**2 - 4*o - o**3 - 3/4*o**4 - 3/20*o**5. Factor g(a).
-3*a*(a + 1)*(a + 2)
Let w(g) = g + 1. Let l(k) = k**2 + 3*k + 6. Let c(o) = l(o) - 5*w(o). Factor c(y).
(y - 1)**2
Let m(a) be the first derivative of a**6/600 + a**5/100 + 4*a**2 + 3. Let v(g) be the second derivative of m(g). Factor v(h).
h**2*(h + 3)/5
Suppose 3*a + 3*l = 3 + 27, 5*l - 20 = a. Determine m so that -13*m**2 - m + 2*m**3 - m**a + 13*m**2 = 0.
-1, 0, 1
Suppose 4*a + 3 - 15 = 0. Let l(w) be the second derivative of 1/5*w**2 + 2/15*w**a - 3*w - 1/75*w**6 + 0*w**4 - 1/25*w**5 + 0. Factor l(f).
-2*(f - 1)*(f + 1)**3/5
Suppose -5*q - 11 = 2*k, 2*k = -0*k + 5*q + 19. Factor -10*g**k + 2*g**2 - 4 + 15*g**3 - 10*g - 17*g**3.
-2*(g + 1)**2*(g + 2)
Let j(y) be the first derivative of -y**8/672 + y**6/120 - y**4/48 - 2*y**2 - 1. Let z(c) be the second derivative of j(c). Find k such that z(k) = 0.
-1, 0, 1
Let u(c) be the third derivative of c**9/120960 - c**7/3360 - c**6/720 + c**5/60 - 3*c**2. Let k(n) be the third derivative of u(n). Factor k(a).
(a - 2)*(a + 1)**2/2
Find h such that -1/5*h + 1/5*h**3 - 1/5*h**2 + 1/5*h**4 + 0 = 0.
-1, 0, 1
Let n be (-5 + 5)/2*(-2)/(-8). Factor 0*q + n + 6/5*q**3 - 3/5*q**2 - 3/5*q**4.
-3*q**2*(q - 1)**2/5
Let r(c) = 12*c - 3. Let i(h) = -15*h**2 - 8*h - 5*h + 2 + 14*h**2. Let q(f) = 3*i(f) + 4*r(f). Determine b, given that q(b) = 0.
1, 2
Suppose -5*r - 30*n + 25*n - 15 = 0, -n - 3 = 4*r. Determine d so that -1/2*d**5 + 0 + 1/2*d + r*d**3 + d**2 - d**4 = 0.
-1, 0, 1
Let k(u) be the third derivative of u**9/2520 + u**8/1680 - u**7/1260 - u**4/8 - u**2. Let v(m) be the second derivative of k(m). Factor v(h).
2*h**2*(h + 1)*(3*h - 1)
Let d(c) = -225*c**2 + 575*c + 280. Let v(o) = 16*o**2 - 41*o - 20. Let s(z) = 6*d(z) + 85*v(z). Factor s(l).
5*(l - 4)*(2*l + 1)
Solve 2/5*d + 4/5*d**4 + 0*d**3 + 0 - 4/5*d**2 - 2/5*d**5 = 0.
-1, 0, 1
Let d = -127 - -129. Factor 0*t - 2/5 + 2/5*t**d.
2*(t - 1)*(t + 1)/5
Let c be (-3 + 6)*(-1264)/(-30). Let t = -126 + c. Factor 0 + 6/5*f**3 - t*f**4 + 2/5*f - 6/5*f**2.
-2*f*(f - 1)**3/5
Let u = -335 + 338. Factor -4/9*k**2 - 2/9*k**u + 4/9 + 2/9*k.
-2*(k - 1)*(k + 1)*(k + 2)/9
Let m(i) = i. Let y be m(0). Let q(s) b