n that t(d) = 0.
-2, -1, 1
Let s(z) = -z**3 + 5*z**2 + 2*z - 10. Let p be s(5). Factor p - 3/2*m**2 + 0*m**3 + 0*m + 3/2*m**4.
3*m**2*(m - 1)*(m + 1)/2
Suppose -4*g - 3 = -g. Let t(f) = -f**4 + f**3 - 1. Let v(r) = -4*r**4 + 4*r**3 - 2*r**2 + 2*r - 6. Let z(c) = g*v(c) + 6*t(c). Suppose z(l) = 0. Calculate l.
-1, 0, 1
Factor o + 8 - 3*o**2 - o - 2 - 3*o.
-3*(o - 1)*(o + 2)
Suppose -v = -4*v. Let q(i) be the third derivative of -2*i**2 - 1/105*i**5 + 0*i + v*i**4 + 0 + 8/735*i**7 + 5/1176*i**8 + 1/420*i**6 + 0*i**3. Factor q(u).
2*u**2*(u + 1)**2*(5*u - 2)/7
Let q(h) = -4*h**4 + 17*h**3 + 4*h**2 - 4*h + 13. Let o(p) = 3 - 4 + 2 - 4 - 4*p**3 + p + p**4 - p**2. Let j(m) = 26*o(m) + 6*q(m). Factor j(x).
2*x*(x - 1)**2*(x + 1)
Determine z so that 0*z**2 + 2/3*z**4 + 0*z + 1/3*z**3 + 0 + 1/3*z**5 = 0.
-1, 0
Let y(d) be the first derivative of -d**4 + 4*d**3 + 2. Factor y(g).
-4*g**2*(g - 3)
Let r be -2*4/(-3) + (2 - 2). Let q be 2 + (1 - (-1 + 2)). Let -r*h - 2/3*h**q - 8/3 = 0. What is h?
-2
Let u = 7 + -3. Suppose 3*o - 5*j - 3 = -j, -u*o + 2*j = -14. Factor 3*m**5 + 6*m**4 + 0*m**4 - 6*m**2 + o*m - 8*m.
3*m*(m - 1)*(m + 1)**3
Let b be (-1 - -1) + ((-80)/(-18))/10. Solve b*u**2 + 14/9*u**3 + 0 + 0*u = 0.
-2/7, 0
Let p be (-1)/4 + 60/144. Factor 0*u + 1/6*u**2 + 0 + p*u**4 - 1/3*u**3.
u**2*(u - 1)**2/6
Let n = 16 + -60. Let p be 16/n*(-1)/2. Factor -2/11*t**2 - 10/11*t**3 - 8/11 + p*t**5 + 2/11*t**4 + 16/11*t.
2*(t - 1)**3*(t + 2)**2/11
Let j = -3/34 + 43/102. Let r(l) be the first derivative of 9*l - 3 + j*l**3 - 3*l**2. What is u in r(u) = 0?
3
Let u(w) = -4*w - 88. Let a be u(-23). Factor -1/3*l**a + 0 + 1/3*l**3 + 0*l + 2/3*l**2.
-l**2*(l - 2)*(l + 1)/3
Let h(f) be the second derivative of -1/30*f**3 - 1/60*f**4 + 0 + 0*f**2 - 5*f. Solve h(b) = 0.
-1, 0
Let s = 8 + -6. Solve -j + 5*j + j**3 - 4*j**s + 0*j**3 = 0.
0, 2
Let b = 8 + -5. Suppose -1 = x - b. Factor 3*j**3 - 1 - 2*j**3 - 2*j**3 - 3*j**x - 3*j.
-(j + 1)**3
Let p(h) be the second derivative of h**9/7560 - h**8/3360 - h**7/1260 + h**6/360 + h**4/4 - 2*h. Let s(k) be the third derivative of p(k). Factor s(w).
2*w*(w - 1)**2*(w + 1)
Let s(d) = d**3 + 4*d**2 + 3*d + 2. Let b be s(-2). Factor -4*u**2 - u + 2*u**2 + 0*u + 2*u**b + u**5.
u*(u - 1)*(u + 1)**3
Let d(q) be the first derivative of 1/6*q**2 + 0*q - 1 + 1/9*q**3. Factor d(m).
m*(m + 1)/3
Let i(g) be the third derivative of 0 - 1/360*g**5 + 0*g + 0*g**3 + 1/48*g**4 + 4*g**2. Suppose i(f) = 0. What is f?
0, 3
Let a(g) be the third derivative of -g**6/200 + g**5/50 + 3*g**4/40 - 11*g**2. Factor a(y).
-3*y*(y - 3)*(y + 1)/5
Let i = 21 + -19. Determine p so that -9*p**2 - p**3 - p + 11*p**i - 2 + 2*p = 0.
-1, 1, 2
Suppose -5*r = -2*v - 6, -4*v + 2*r = 3 - 7. Factor 0*i**v - 2/5*i**4 + 0*i + 6/5*i**5 - 4/5*i**3 + 0.
2*i**3*(i - 1)*(3*i + 2)/5
Let o(f) be the third derivative of f**7/3360 - f**6/720 + f**5/480 - 2*f**3/3 + 3*f**2. Let n(y) be the first derivative of o(y). Factor n(c).
c*(c - 1)**2/4
Determine m, given that 5*m**3 - 3*m**3 + 392*m - 41*m**2 - 12*m**2 - 3*m**2 = 0.
0, 14
Let y(h) be the second derivative of 0 - 1/18*h**4 - 1/15*h**5 + 0*h**2 - 1/45*h**6 - 5*h + 0*h**3. Factor y(w).
-2*w**2*(w + 1)**2/3
Let u(c) = 5*c**3 - 3*c**2 - 4*c + 4. Let h(t) = t**3 - t**2 - t + 1. Let x(k) = -4*h(k) + u(k). Factor x(o).
o**2*(o + 1)
Let m(f) be the third derivative of f**8/1176 + 2*f**7/735 - f**6/210 - 2*f**5/105 + f**4/84 + 2*f**3/21 + 55*f**2. Solve m(u) = 0.
-2, -1, 1
Let v(d) = -2*d**3 - 6*d**2 + 12*d + 28. Let g(w) = -2*w**3 - 7*w**2 + 11*w + 29. Let o(m) = -4*g(m) + 5*v(m). Let o(f) = 0. What is f?
-2, 3
Suppose -2*s + 18 = 2*r + 4, -4*r = 2*s - 22. Suppose 6 + 0 = 3*x. Factor s*k + x*k - 8*k**2 + k**2 + 2 + 0.
-(k - 1)*(7*k + 2)
Let n(a) be the third derivative of -a**5/20 + a**4/8 + a**2. Factor n(g).
-3*g*(g - 1)
Suppose 76*o - 69*o = 14. Let 15/2*c**3 + 24*c - 51/2*c**o - 6 = 0. What is c?
2/5, 1, 2
Let m(x) = x**2 + 2*x. Suppose 5*r + 4 = 3*r. Let l(d) = -2*d**2 - 2*d. Let t(s) = r*l(s) - 3*m(s). Factor t(f).
f*(f - 2)
Let k(s) be the third derivative of -s**6/240 + 3*s**5/80 - s**4/8 - 2*s**3/3 - s**2. Let h(a) be the first derivative of k(a). Suppose h(q) = 0. Calculate q.
1, 2
Let k(h) be the second derivative of h**8/3360 - h**7/1260 - h**4/6 - 2*h. Let m(f) be the third derivative of k(f). Solve m(x) = 0.
0, 1
Let i(g) be the first derivative of -g**6/3 - 9*g**5/10 - g**4/4 + 4*g**3/3 + 3*g**2/2 + g/2 + 9. Determine b so that i(b) = 0.
-1, -1/4, 1
Let l(u) = -3*u**2 - 3. Let q(y) be the second derivative of y**4/4 - y**3/6 + 3*y**2/2 - 4*y. Let w(o) = 5*l(o) + 6*q(o). Suppose w(m) = 0. What is m?
1
Let h = 232/7 - 32. Let 50/7*n**5 - 6*n**3 + 40/7*n**2 - 40/7*n**4 - h*n + 0 = 0. What is n?
-1, 0, 2/5, 1
Let r(b) be the third derivative of b**8/252 - 2*b**7/315 - 3*b**2. Factor r(o).
4*o**4*(o - 1)/3
Let o(l) be the first derivative of 3*l**4/8 - 3*l**3/2 + 9*l**2/4 - 3*l/2 + 1. Solve o(p) = 0.
1
Let m(j) be the third derivative of -1/60*j**5 + 1/210*j**7 + 0*j**3 + 0*j**4 - 2*j**2 + 1/120*j**6 + 0 + 0*j - 1/336*j**8. Factor m(c).
-c**2*(c - 1)**2*(c + 1)
Let s(o) be the third derivative of -o**6/480 + o**5/240 + 4*o**2. Factor s(h).
-h**2*(h - 1)/4
Let a(k) = -k**2 - 7*k - 7. Let s be a(-5). Let u = s - 1. Solve -u*f**2 - f + 0 + 1 + f**4 - f**5 + 0 + 2*f**3 = 0.
-1, 1
Let g = 59/2 - 29. Factor -g*s + 0 - 1/2*s**2.
-s*(s + 1)/2
Let q be ((-5)/(-600)*-3)/(-1). Let s(t) be the second derivative of 0*t**2 + 0 + 1/12*t**3 + 0*t**4 + 3*t - q*t**5. Factor s(f).
-f*(f - 1)*(f + 1)/2
Let x(c) be the second derivative of 0*c**4 - 1/2*c**3 + 0 - c**2 + c + 1/20*c**5. Determine u, given that x(u) = 0.
-1, 2
Factor 8/3 + 2*n + 1/3*n**2.
(n + 2)*(n + 4)/3
Let w(s) = 7*s**3 + 4*s**2 + 3*s - 4. Let u(h) = -3*h**3 - 2*h**2 - h + 2. Let q(j) = -5*u(j) - 2*w(j). Suppose q(p) = 0. Calculate p.
-2, -1, 1
Find p such that -1/5*p**4 + 0 + 2/5*p + 1/5*p**2 - 2/5*p**3 = 0.
-2, -1, 0, 1
Let v(y) be the second derivative of y**7/15 + 3*y**6/20 - y**5/6 - 3*y**4/4 - 2*y**3/3 - y**2/2 + 3*y. Let a(m) be the first derivative of v(m). Factor a(o).
2*(o - 1)*(o + 1)**2*(7*o + 2)
Let v = 2/11 + 3/44. Let q(t) be the second derivative of -v*t**4 - 1/3*t**3 + 0*t**2 - 1/20*t**5 + 0 + 3*t. Factor q(b).
-b*(b + 1)*(b + 2)
Let g = -315 + 9451/30. Let x(o) be the third derivative of -3*o**2 + g*o**5 + 0*o + 0 + 1/3*o**4 + 4/3*o**3. Suppose x(j) = 0. What is j?
-2
Let u(h) = h**2 + 17*h - 38. Let c be u(-19). Factor 2/13*p**3 + c + 4/13*p**5 - 6/13*p**4 + 0*p + 0*p**2.
2*p**3*(p - 1)*(2*p - 1)/13
Factor 0 - 72/7*l**4 + 3/7*l**3 + 48/7*l**5 + 18/7*l**2 + 3/7*l.
3*l*(l - 1)**2*(4*l + 1)**2/7
Solve 12*q - 3 - q**3 - 2*q**2 - 3*q**2 - 19*q + 0 = 0 for q.
-3, -1
Let y be (0 - (-5)/10)*108. Let t = y + -154/3. Factor 2*m**2 + t*m + 8/9.
2*(3*m + 2)**2/9
Let k(b) be the third derivative of b**7/42 - b**6/24 + 2*b**2 + 13. What is l in k(l) = 0?
0, 1
Let s(l) = 2*l - 22. Let o be s(11). Let y = -3 - -6. Determine q so that -2/5*q**y - 2/5*q**4 + 0*q + 2/5*q**2 + o + 2/5*q**5 = 0.
-1, 0, 1
Let d(p) be the third derivative of p**7/105 + p**6/12 + 2*p**5/15 - 15*p**2. Factor d(y).
2*y**2*(y + 1)*(y + 4)
Let t(y) be the first derivative of 5*y**8/392 + 4*y**7/735 - y**6/105 + 3*y**2/2 + 1. Let i(h) be the second derivative of t(h). Factor i(m).
2*m**3*(3*m + 2)*(5*m - 2)/7
Let v(s) be the third derivative of s**8/756 - s**7/315 + s**5/270 - 2*s**2. Find q, given that v(q) = 0.
-1/2, 0, 1
Find r, given that 9 + 5*r**3 - 4 - 5*r + 99*r**2 - 104*r**2 = 0.
-1, 1
Let u(c) be the third derivative of 2*c**7/735 - c**5/35 - c**4/21 - 5*c**2. Factor u(b).
4*b*(b - 2)*(b + 1)**2/7
Let h**3 - 2 - 2*h + 5*h - 4*h**2 + 5*h - 3*h = 0. Calculate h.
1, 2
Let o(k) be the second derivative of -k**2 - 1/6*k**3 - 2*k + 0 - 1/240*k**6 - 5/48*k**4 - 1/30*k**5. Let d(v) be the first derivative of o(v). Factor d(z).
-(z + 1)**2*(z + 2)/2
Let w(o) be the third derivative of o**9/10584 - o**7/980 + o**6/630 - o**3/3 + 2*o**2. Let g(t) be the first derivative of w(t). Factor g(p).
2*p**2*(p - 1)**2*(p + 2)/7
Let t(p) be the second derivative of 1/10*p**5 + 0*p**2 + 0*p**3 + 1/6*p**4 + 3*p + 0. Determine q, given that t(q) = 0.
-1, 0
Let k(l) be the first derivative of -l**4/12 + 2*l**3/9 