 - w**2 - 1/2.
(w - 2)*(w - 1)**2/4
Let z = 83 - 165/2. Suppose -1/2*q**3 + 0 + q**4 + 0*q + 0*q**2 - z*q**5 = 0. What is q?
0, 1
Let d(u) be the third derivative of -4*u**2 + 0*u**3 + 1/40*u**6 - 1/12*u**4 + 0 + 0*u - 1/12*u**5. Determine z so that d(z) = 0.
-1/3, 0, 2
Let b be (-150)/(-8) + 1/4. Suppose -16 = -4*n - 4*h, -h + b = 2*n + 2*n. Factor 5*t**4 + 8*t**3 + 4*t**2 - 3*t**5 + 3*t**n + t**5.
t**2*(t + 1)*(t + 2)**2
Let i(c) be the second derivative of c**5/10 + c**4 + 4*c**3 + 8*c**2 + 15*c. Factor i(r).
2*(r + 2)**3
Let q be 5*4/20*2/9. Suppose q*s**5 + 0*s**2 + 0*s + 2/9*s**4 + 0*s**3 + 0 = 0. What is s?
-1, 0
Suppose -18*l + 35*l = 51. Solve 4/11*t**2 - 2/11*t - 2/11*t**5 + 4/11*t**l - 2/11*t**4 - 2/11 = 0.
-1, 1
Let k(g) be the third derivative of g**8/131040 + g**7/10920 + g**6/2340 - g**5/20 + 5*g**2. Let q(a) be the third derivative of k(a). Factor q(w).
2*(w + 1)*(w + 2)/13
Suppose -8 = 2*g, -6 + 0 = z + 2*g. Factor -6*m**2 - m**2 + 7*m**2 + 3*m**z.
3*m**2
Let z(q) be the second derivative of -8*q**2 - 1/3*q**4 + 0 - 2*q + 8/3*q**3. Let z(o) = 0. What is o?
2
Let t(g) = -g**3 + g**2. Let k(i) be the second derivative of -i**6/30 + i**5/4 - 5*i**4/12 + i**3/6 + 2*i. Let d(f) = k(f) + 6*t(f). Solve d(m) = 0.
-1, 0, 1
Let r(m) be the first derivative of -20*m**3 + 26*m**2 + 8*m - 28. Let r(a) = 0. Calculate a.
-2/15, 1
Let c(s) be the second derivative of 2*s**6/15 + s**5 + 2*s**4 - 8*s**3/3 - 16*s**2 - 45*s. Factor c(m).
4*(m - 1)*(m + 2)**3
Determine m, given that -15/7*m**4 - 31/7*m**2 + 46/7*m**3 + 4/7 - 4/7*m = 0.
-1/3, 2/5, 1, 2
Suppose -4*g = -3*g + 16. Let b be g/(-18) - 16/24. Factor b*x - 4/9 + 2/9*x**2.
2*(x - 1)*(x + 2)/9
Let o(g) = 3*g + 17. Let f be o(-5). Let m(w) be the second derivative of -f*w + 1/2*w**2 + 1/6*w**3 - 1/20*w**5 + 0 - 1/12*w**4. Factor m(k).
-(k - 1)*(k + 1)**2
Let a(v) be the third derivative of v**8/15120 + v**7/630 + v**6/60 + v**5/60 + 8*v**2. Let j(z) be the third derivative of a(z). Factor j(m).
4*(m + 3)**2/3
Let l(g) = g**2 + 5*g + 6. Let c be l(-4). Suppose w + 4 = 0, 5*w - 7 = -5*t - 2. Factor -4 - 5*b + 2*b - t*b - b**c + 4*b.
-(b + 2)**2
Suppose 5*w - 7 = -4*p - 19, -3*w - 12 = 4*p. Suppose w*a - a + 3*l = -24, l + 3 = 0. Find y such that 6 - 7*y**3 - a*y - 8*y**3 + 12*y - 24*y**2 = 0.
-1, 2/5
Suppose 2*u + 0 = 8. Let k(a) be the second derivative of -1/36*a**u + 0*a**3 + 1/60*a**5 + 0 + 0*a**2 - a. Factor k(i).
i**2*(i - 1)/3
Let k = 147/10 - 71/5. Let z be (0 + 1)*2/4. Factor k*l**2 + 0 + 1/2*l**3 - 1/2*l**4 - z*l.
-l*(l - 1)**2*(l + 1)/2
Let r(x) be the first derivative of -x**5/5 + 5*x**4/4 + 2*x**3 + 19. Solve r(a) = 0 for a.
-1, 0, 6
Let z = 584/5 + -116. Find n such that -6/5*n**2 + z - 2/5*n = 0.
-1, 2/3
Let g(x) = x**3 - 8*x**2 + 6*x + 9. Let i be g(7). Let t be i/(-8) - (-2)/8. Suppose 2*m**2 - m**4 - 5 + t*m + 0*m + 4 = 0. Calculate m.
-1, 1
Factor 47*g - 3*g**2 + 4*g**4 - 35*g - g**2 - 12*g**3.
4*g*(g - 3)*(g - 1)*(g + 1)
Determine j, given that 7*j - 6 + 28*j**2 + 12 - 27*j**2 = 0.
-6, -1
Let m(a) be the first derivative of -16/9*a**3 - 7/3*a**2 + 6 + 8/3*a**4 - 2/3*a. Factor m(j).
2*(j - 1)*(4*j + 1)**2/3
Solve -28*c - 2*c**3 + 2*c**2 + 16 + 4*c**2 + 4*c + 6*c**2 = 0.
2
Suppose 3*k + 1 - 13 = 0. Let q(s) be the second derivative of -1/9*s**2 + 1/90*s**5 - 1/18*s**k + 0 + 2*s + 1/9*s**3. Determine u, given that q(u) = 0.
1
Suppose -9/4*r + 3/2 + 3*r**3 + 0*r**4 - 3/4*r**5 - 3/2*r**2 = 0. Calculate r.
-2, -1, 1
Let o = 30 + -59/2. Let -o*d**3 + 0 + 1/2*d**2 + 0*d = 0. What is d?
0, 1
Let p(c) = 2*c**3 - 2*c**2 + 4. Let x(q) = 8*q**3 - 8*q**2 + q + 17. Let l(d) = 9*p(d) - 2*x(d). Solve l(j) = 0 for j.
-1, 1
Let b(y) be the third derivative of -y**6/360 + y**5/30 - y**4/6 + 5*y**3/6 - 2*y**2. Let f(v) be the first derivative of b(v). Factor f(c).
-(c - 2)**2
Let x = -163/1092 - -6/91. Let q = x + 11/36. Determine u so that -2/9*u**3 - q*u**4 + 2/9*u + 0 + 2/9*u**2 = 0.
-1, 0, 1
Let n(m) be the second derivative of 0*m**2 + 1/36*m**4 - 1/18*m**3 + 0 + 2*m. Solve n(k) = 0 for k.
0, 1
Let f = -3 - -6. Let v be -1 - (f - (-60)/(-14)). Factor -2/7*u**2 + 0 - v*u**3 + 0*u.
-2*u**2*(u + 1)/7
Let p(g) = -2*g + 12. Let v be p(5). Suppose -2*a**3 + 2*a**2 + 3*a + 0*a**v - 2*a + 3*a = 0. Calculate a.
-1, 0, 2
Let g = -92/7 + 100/7. Factor -2/7*l - 8/7*l**2 + 0 - 12/7*l**3 - g*l**4 - 2/7*l**5.
-2*l*(l + 1)**4/7
Suppose a = -3*a. Let x(j) be the second derivative of -1/42*j**4 - 1/105*j**6 - 1/35*j**5 + 0 + a*j**2 + 0*j**3 - j. Factor x(h).
-2*h**2*(h + 1)**2/7
Let v(g) be the third derivative of 3*g**6/2 - 19*g**5/4 + 35*g**4/6 - 10*g**3/3 - 7*g**2. Solve v(z) = 0 for z.
1/4, 2/3
Let v be ((-9)/5)/((-9)/15). Factor 0 + 2/5*l**2 + 7/5*l**v + 0*l + l**4.
l**2*(l + 1)*(5*l + 2)/5
Let d(f) be the first derivative of f**6 + 7/6*f**4 - 2*f**5 + 0*f + 0*f**2 + 3 - 2/9*f**3. Suppose d(x) = 0. What is x?
0, 1/3, 1
Let f be ((-5)/(-35)*0)/(-2) + 2. Solve 4/3 - 2*n + f*n**3 - 4/3*n**2 = 0.
-1, 2/3, 1
Let b(l) be the third derivative of -l**8/4200 + l**7/700 - l**6/300 + l**5/300 - l**3/3 - 3*l**2. Let f(j) be the first derivative of b(j). Factor f(g).
-2*g*(g - 1)**3/5
Suppose 0 = -5*a + 5. Suppose -7 = -3*h - z, a = -0*h - h - z. Determine j, given that -j - 2*j + j**h + j**4 - j**2 + 3*j**3 - 1 = 0.
-1, -1/2, 1
Suppose -4/5*m - 6/5*m**5 + 2*m**2 + 0 - 2*m**4 + 2*m**3 = 0. Calculate m.
-2, -1, 0, 1/3, 1
Let c(o) = o - 2. Let t be c(4). Let z(q) be the second derivative of -1/48*q**4 + 0*q**2 + t*q + 0 + 0*q**3. Factor z(r).
-r**2/4
Let f(n) be the second derivative of n**5/20 + n**4/3 + 5*n**3/6 + n**2 + 43*n. Solve f(v) = 0 for v.
-2, -1
Let f(z) = z**3 - 9*z**2 - 9*z - 8. Let r be f(10). Factor 9 - 2 + 2*v**3 - 5 - 2*v**r - 2*v.
2*(v - 1)**2*(v + 1)
Let f be (2/1)/((-1)/3). Let p(q) = -q**2 - 9*q - 8. Let h be p(f). Factor 7*c**3 + 0 - 4 + 5*c**3 - 4*c**3 + h*c**2 - 14*c.
2*(c - 1)*(c + 2)*(4*c + 1)
Let y(t) be the second derivative of -2*t - 1/6*t**6 - 1/2*t**2 + 5/6*t**3 + 1/42*t**7 + 1/2*t**5 - 5/6*t**4 + 0. Find q, given that y(q) = 0.
1
Let o(r) be the third derivative of -r**5/20 + r**4/8 + 24*r**2. Determine b, given that o(b) = 0.
0, 1
Let z(r) = -r**2 - 3*r - 15. Let k be z(-10). Let c be (-3)/15 + k/(-175). Factor c*a**2 - 4/7*a + 2/7*a**3 + 0.
2*a*(a - 1)*(a + 2)/7
Factor 0*k**2 + 0*k + 0*k**4 + 0 - 2/11*k**5 + 2/11*k**3.
-2*k**3*(k - 1)*(k + 1)/11
Let o(t) be the second derivative of 2*t**6/105 - 6*t**5/35 + 3*t**4/7 - 3*t. Factor o(s).
4*s**2*(s - 3)**2/7
Let x(g) be the third derivative of -g**5/15 + g**4/2 - 4*g**3/3 + 8*g**2. Let x(b) = 0. What is b?
1, 2
Let x(d) = 6*d**4 - 11*d**3 + 7*d**2 - 2*d. Let i(s) = -s**4 + s**3. Let n(b) = 3*i(b) + x(b). What is h in n(h) = 0?
0, 2/3, 1
Factor 0 + 2/9*l**3 + 0*l**2 + 2/9*l**5 + 0*l + 4/9*l**4.
2*l**3*(l + 1)**2/9
Suppose -165 = 4*f + 1623. Let m = 4031/9 + f. Suppose m - 8/9*w + 2/9*w**2 = 0. Calculate w.
2
Let c(y) be the third derivative of 1/30*y**5 - 1/105*y**7 + 0*y**4 + 0*y + 0 - 3*y**2 + 0*y**3 + 1/168*y**8 - 1/60*y**6. Determine w so that c(w) = 0.
-1, 0, 1
Let x(a) be the first derivative of a**6/300 + a**5/50 + a**4/30 + 3*a**2/2 + 2. Let p(z) be the second derivative of x(z). Suppose p(s) = 0. What is s?
-2, -1, 0
Suppose -4*f - 6*f = -4*f. Let q(c) be the third derivative of 0 - c**2 + 1/20*c**5 - 1/40*c**6 + f*c + 0*c**4 + 0*c**3. Find t, given that q(t) = 0.
0, 1
Let r(t) be the second derivative of 3*t**7/49 - 2*t**6/7 + 11*t**5/35 + 4*t**4/21 - t**3/3 - 2*t**2/7 + 10*t. Suppose r(f) = 0. What is f?
-1/3, 1, 2
Let a be (0 - 3/(-8))*4. Factor b - 1/2 + a*b**2.
(b + 1)*(3*b - 1)/2
Let i(f) be the third derivative of f**7/105 + f**6/60 - f**5/30 - f**4/12 + f**2. Determine q so that i(q) = 0.
-1, 0, 1
Let d be (12/16)/(9*1/8). Factor 0*c**2 + 1/3 - d*c + 2/3*c**3 - 1/3*c**4.
-(c - 1)**3*(c + 1)/3
Determine z, given that 16*z**2 - 45*z + 16 + 25*z - 48*z = 0.
1/4, 4
Suppose -3*m = a + 2, -3*a - 6*m + 2*m = -4. Suppose -a*u = -2*u. Determine l so that u*l + 1/2*l**2 + 0 = 0.
0
Let l = -43 - -28. Let t be 0 - (l/3 - -3). Factor -2*f + t*f - 5*f - 2*f**2 + 3*f.
-2*f*(f + 1)
Let n(p) be the second derivative of p**4/9 - 16*p**3/9 + 32*p**2/3 + 6*p. Suppose n(v) = 0. Calculate v.
4
Let w(s) be the third derivative of -s**8/84