*3*(i - 1)
Let w(g) be the second derivative of g**6/75 - g**5/50 + 31*g. Factor w(s).
2*s**3*(s - 1)/5
Let n(t) be the first derivative of -t**4/28 + 3*t**3/14 - 3*t**2/7 - 5*t - 1. Let j(m) be the first derivative of n(m). Factor j(q).
-3*(q - 2)*(q - 1)/7
Solve 2/5*m**2 + 0 + 2/5*m = 0 for m.
-1, 0
Let 3*i**3 + 38*i**5 + 6*i**3 - 14*i**2 - 22*i**5 + 40*i**4 + i**2 + 2*i = 0. What is i?
-2, -1, 0, 1/4
Let q = 5 + -3. Suppose t**q - t**2 + t**2 - 1 = 0. Calculate t.
-1, 1
Let d(y) be the third derivative of y**8/588 - y**7/245 - y**6/210 + 2*y**5/105 - y**3/21 - 7*y**2. Let d(z) = 0. Calculate z.
-1, -1/2, 1
Let d be 2 + (-246 - 8/2). Let y = d - -1248/5. Factor -8/5*u + y + 2/5*u**2.
2*(u - 2)**2/5
Suppose -4/3 - 2/3*v**4 - 2/3*v + 2*v**2 + 2/3*v**3 = 0. What is v?
-1, 1, 2
Suppose -116 = -4*p - 3*q, -p + q + 29 = -0*p. Suppose -2*t - 3 = 4*r - 9, -5*t = -r + p. Suppose 0 - 6*y + 2*y**2 - r*y**2 + 2*y**3 + 4*y + 2 = 0. What is y?
-1, 1
Let c(z) be the third derivative of z**6/480 - z**5/240 - z**4/48 + 5*z**2. Let c(f) = 0. Calculate f.
-1, 0, 2
Let o(t) = -3*t**2 - 45*t + 63. Let r = 3 - 7. Let w(b) = -2*b**2 + 22*b + b**2 - 31 + 2*b**2. Let p(k) = r*o(k) - 9*w(k). Factor p(x).
3*(x - 3)**2
Let y = 528 - 528. Solve 1/6*w**2 - 1/2*w + y = 0 for w.
0, 3
Let t(m) be the third derivative of 0 + 1/360*m**6 + 0*m + 0*m**3 + 0*m**4 - 5*m**2 + 0*m**5. Determine y, given that t(y) = 0.
0
Let t(d) = -5*d**3 + 5*d**2 + 5*d + 1. Let u(p) = p**3 - p**2 - p. Let q(v) = t(v) + 6*u(v). Let q(b) = 0. What is b?
-1, 1
Let j(n) = -13*n**2 - n + 12. Let k(a) = -7*a**2 - a + 6. Let t(c) = 4*j(c) - 7*k(c). Let t(h) = 0. Calculate h.
-1, 2
Let h(d) = -4*d + 19. Let q be h(4). Factor 3/2*m**q + 0 + 0*m**2 + 0*m.
3*m**3/2
Suppose 0 = 3*b - 7 - 2. Let c be (8/(-30))/((-2)/b). Factor 0 + c*n**3 + 2/5*n + 4/5*n**2.
2*n*(n + 1)**2/5
Let q(s) be the first derivative of -s**3/21 - s**2/2 - 12*s/7 + 27. Find z, given that q(z) = 0.
-4, -3
Let n(q) be the second derivative of 0*q**2 - 1/4*q**4 + q - 3/2*q**3 + 0. Factor n(c).
-3*c*(c + 3)
Let x(o) = o + 9. Let j be x(-7). Suppose 7*s - 2*s = j*t + 20, 0 = 5*t. Find w such that -2*w**3 + 4*w**2 + s - 2 + 2*w**2 - 6*w = 0.
1
Let l(k) be the second derivative of 0 + 4*k**2 - 2*k**3 - 3*k + 1/5*k**5 + 1/2*k**4. Let o(g) = -g**3. Let j(x) = l(x) + 5*o(x). Let j(i) = 0. What is i?
2
Suppose 5*k - 2*k = 6. What is l in 5*l**2 + l - k*l - l - 2*l**2 - l**3 = 0?
0, 1, 2
Let m = 7 - 17. Let l be m/(-55) - 16/(-33). Factor 2/3*x + 1/6*x**2 + l.
(x + 2)**2/6
Suppose 0 + 1/4*g**2 + 5/4*g = 0. What is g?
-5, 0
Let r(n) = 3*n**5 - 2*n**4 - 2*n**3 + 8*n**2 - n. Let z(h) = 12*h**5 - 7*h**4 - 7*h**3 + 33*h**2 - 5*h. Let v(y) = 26*r(y) - 6*z(y). Solve v(i) = 0.
-1, -1/3, 0, 1, 2
Let c = 753 + -750. Determine x so that 3/2*x**4 + 3/2 - 3*x**2 + 0*x**c + 0*x = 0.
-1, 1
Let v(x) = -x**2 - x - 1. Let m(a) = 4 + 8*a**2 - 3*a**2 - 3*a**2 + 4*a. Suppose -5 = 4*h - 1. Let i(n) = h*m(n) - 4*v(n). Factor i(j).
2*j**2
Let g(a) = 10*a**3 - 26*a**2 - 10*a - 6. Let f(q) = 5*q**2 + 1 + 0*q + 0*q - 2*q**3 + 2*q. Let d(z) = 16*f(z) + 3*g(z). Find m such that d(m) = 0.
-1, 1
Let r = -13 - -17. Suppose -t + r*w + 23 = 8*w, 4*t = -5*w + 37. Factor -1/6*o**5 + 0*o**t - 1/3*o**4 + 0 + 1/3*o**2 + 1/6*o.
-o*(o - 1)*(o + 1)**3/6
Let x(s) be the second derivative of 5*s**7/14 + 9*s**6/10 + 9*s**5/20 - s**4/4 + 14*s. Factor x(m).
3*m**2*(m + 1)**2*(5*m - 1)
Factor 4/13*w + 2/13*w**2 + 0.
2*w*(w + 2)/13
Suppose 0 = 77*j - 21*j. Determine g, given that 4/3*g**2 - 2/3*g**5 + 2/3*g + 0 - 4/3*g**4 + j*g**3 = 0.
-1, 0, 1
Let v = 5 + -9. Let d = 7 + v. Factor -q**3 - q**d - 10*q**4 - 2*q**3.
-2*q**3*(5*q + 2)
Factor -1144*c + 0*c**2 + 5*c**2 + 1134*c + 3*c**2 + 2.
2*(c - 1)*(4*c - 1)
Suppose 4*f - 5*k - 1 = 0, -f - 4*k + 28 = 3*f. Factor -7*t**f + 5*t**2 + 0*t**2 + 4*t**4 + t**2 - 3.
-3*(t - 1)**2*(t + 1)**2
Let p(i) be the first derivative of i**6/2 - 9*i**5/10 - 3*i**4/4 + 2*i**3 - 3*i/2 + 3. Determine j, given that p(j) = 0.
-1, -1/2, 1
Let r(h) be the second derivative of h**6/1620 - h**5/540 - h**4/54 + h**3/3 - 3*h. Let b(z) be the second derivative of r(z). Factor b(n).
2*(n - 2)*(n + 1)/9
Let k(s) be the first derivative of 3*s**5/5 - 12*s**4 + 64*s**3 + 29. Let k(a) = 0. Calculate a.
0, 8
Let v(j) be the third derivative of j**8/420 - 4*j**7/105 + 4*j**6/15 - 16*j**5/15 + 8*j**4/3 - 64*j**3/15 - 19*j**2. Let v(s) = 0. Calculate s.
2
Suppose 11*v + 150 = 41*v. Let 4/13*s + 6/13*s**2 - 2/13*s**v - 2/13*s**3 + 0 - 6/13*s**4 = 0. Calculate s.
-2, -1, 0, 1
Let v be 3 + (-3)/(-7)*(-5 + 8). Solve -8*h**3 + 0 + v*h**2 - 4/7*h = 0.
0, 1/4, 2/7
Let j = -135 + 95. Let z be (-68)/j - (-4)/(-20). Solve -f - 1/2*f**3 + 0 - z*f**2 = 0.
-2, -1, 0
Suppose -m - 3 = -2*o + 7, -3*o + 2*m + 13 = 0. Let w(a) = a - 4. Let s be w(o). Factor 0 - 1/3*l**s + 2/3*l - 1/3*l**2.
-l*(l - 1)*(l + 2)/3
Let x be -1 - (-1)/(3/12). Let n = x - 1. Factor -4*d**2 - d**2 + 2*d + 4*d**n.
-d*(d - 2)
Let b be (-3)/(-24) + 63/72. Solve b - 1/2*k - 1/2*k**2 = 0 for k.
-2, 1
Let h be (6/12)/(2/6). Factor -3/2*f**2 + 0*f + h.
-3*(f - 1)*(f + 1)/2
Factor -t + 93*t**2 - 95*t**2 - t.
-2*t*(t + 1)
Let m = 6 + 0. Let q = m - 6. Factor 0 + q*p - 5/2*p**3 + p**2.
-p**2*(5*p - 2)/2
Suppose 0*r**2 + 0*r + 0 - 2/13*r**3 = 0. Calculate r.
0
Suppose 0 = 4*r - 12, 4*z + 4*r = -z + 732. Let k be z/210 + 2/(-7). Solve -k - 2/5*f**3 + 2/5*f**2 + 2/5*f = 0.
-1, 1
Let i(a) = 10*a**2 - 16*a + 6. Let b(w) be the third derivative of -w**5/30 + w**4/8 - w**3/6 - 6*w**2. Let t(y) = 16*b(y) + 3*i(y). Factor t(s).
-2*(s - 1)*(s + 1)
Let i(r) be the second derivative of 5*r**7/6 + 3*r**6/2 - 5*r**5/4 - 15*r**4/4 - 5*r**3/3 - 2*r. Let i(p) = 0. Calculate p.
-1, -2/7, 0, 1
Let u(f) = -f**3 + 6*f**2 - f + 2. Let y be u(6). Let h be (y/40)/1*-28. Factor 0*x - 2*x**4 + h*x**3 - 4/5*x**2 + 0.
-2*x**2*(x - 1)*(5*x - 2)/5
Factor 12*i - 72*i**2 - 1/2.
-(12*i - 1)**2/2
Solve -1 + 2*o**3 - 13/2*o**2 + 11/2*o = 0 for o.
1/4, 1, 2
Let z(o) be the second derivative of -o**4/72 + o**3/6 + 7*o**2/12 + 14*o. What is y in z(y) = 0?
-1, 7
Let g = 31 - 66. Let l be g/(-14)*8/15. Suppose -l*y + 2*y**3 + 11/3*y**2 - 3*y**4 - 4/3 = 0. Calculate y.
-2/3, 1
Let l be -4 + (-8)/348 + 4. Let b = l + 184/435. Solve b*k - 4/5 + 2/5*k**2 = 0 for k.
-2, 1
Let v(s) be the third derivative of s**8/12 - 32*s**7/105 + 2*s**6/15 + 14*s**5/15 - 11*s**4/6 + 4*s**3/3 - 11*s**2. Factor v(d).
4*(d - 1)**3*(d + 1)*(7*d - 2)
Let t(s) be the first derivative of s**5/5 + s**4/2 - s**3 + 10. Find b, given that t(b) = 0.
-3, 0, 1
Let z(v) = -v - 1. Let c(g) = -4*g**3 - 4*g**2 - 4*g - 4. Let h(b) = c(b) - 4*z(b). Factor h(k).
-4*k**2*(k + 1)
Let o(u) be the third derivative of u**5/80 - 11*u**4/96 + u**3/4 - 5*u**2. Factor o(l).
(l - 3)*(3*l - 2)/4
Suppose 44 = -5*u + 54. Factor 0*l + 3/4*l**u - 3/4.
3*(l - 1)*(l + 1)/4
Suppose 0 = c - 6*c + 25. Determine r, given that -r**2 - 6*r + c*r + 3*r = 0.
0, 2
Let v(i) be the third derivative of -1/480*i**6 + 0*i + 0*i**4 + 1/120*i**5 + 0*i**3 - 1/840*i**7 + 0 + 2*i**2. Solve v(j) = 0.
-2, 0, 1
Let o(u) be the third derivative of -u**6/360 + u**4/6 + 7*u**3/6 - u**2. Let i(s) be the first derivative of o(s). Factor i(h).
-(h - 2)*(h + 2)
Let t(r) be the first derivative of r**3/5 + 3*r**2/5 + 3. Factor t(u).
3*u*(u + 2)/5
Factor -3/2*v**2 + 18 + 12*v - 3/2*v**3.
-3*(v - 3)*(v + 2)**2/2
Suppose 3*i - 24 + 12 = 0. Factor 2/3*p**2 + 0*p + 0 + 0*p**3 - 2/3*p**i.
-2*p**2*(p - 1)*(p + 1)/3
Let f be -4 - (-4)/(16/17). Let l be 3/(-20) + 4/10. Factor -f + 1/4*b**2 - 1/4*b**3 + l*b.
-(b - 1)**2*(b + 1)/4
Let i(h) be the second derivative of -4/9*h**3 + 8/9*h**4 - 1/3*h**2 + 32/15*h**5 + h + 0. Determine x so that i(x) = 0.
-1/4, 1/4
Factor -8*h - 3/4*h**3 - 23/4*h**2 - 3.
-(h + 1)*(h + 6)*(3*h + 2)/4
Let b(r) = -r**2 - 9*r - 5. Suppose 2*h + 3*h + 40 = 0. Let n be b(h). Let -n*k + 0*k**2 + k**2 + k**3 - k**4 + 2*k = 0. Calculate k.
-1, 0, 1
Let q be (-50)/18 - (-6)/(-27). Let f = 17 + q. Factor 2*v**5 - 6*v**2 - 14*v**4 + 10*v - f*v**2 - 2 + 20*v**3 + 4*v**4.
2*(v - 1)**5
Factor 943*y**3 - 72*y - 4*y**2 - 20*y**2 - 945*y**3.
-2*y*(y + 6)**2
Let y(i) be the second derivative of -i**8/168 + 2*i**7/105 - i**6/60 - 2*i**2 - 4*i. Let m(d) be the first