-1/2, 0
Let j(q) = q**2 + 8*q - 7. Let t be j(-9). Let d(o) be the third derivative of 1/3*o**3 + 0 - 1/8*o**4 + o**t + 0*o + 0*o**5 + 1/120*o**6. Factor d(w).
(w - 1)**2*(w + 2)
Factor -2/3*t**3 + 0 + 0*t + 2/3*t**2.
-2*t**2*(t - 1)/3
Let x be (-4)/(-12)*6/12. Let o(a) be the first derivative of 1/12*a**4 + 1 - 2/9*a**3 + x*a**2 + 0*a. Factor o(w).
w*(w - 1)**2/3
Suppose 0 = s + 1 - 5. Let d(f) = 2*f**3 + f - 3. Let o(g) = g**3 + g - 2. Let x(r) = s*d(r) - 6*o(r). Let x(m) = 0. Calculate m.
-1, 0, 1
Let k(s) be the first derivative of s**8/80 - 2*s**7/35 + 11*s**6/120 - s**5/20 - 2*s**3/3 - 5. Let q(a) be the third derivative of k(a). Factor q(h).
3*h*(h - 1)**2*(7*h - 2)
Let k(c) be the first derivative of -2*c**3/3 - 2*c**2 + 6*c + 9. Solve k(n) = 0 for n.
-3, 1
Factor 9*u**3 + 5*u**3 - 16*u**2 + 8*u**3 + 12*u - 18*u**3.
4*u*(u - 3)*(u - 1)
Let x = -5/56 - -3/8. Let x*y**3 + 0 + 0*y + 2/7*y**2 = 0. What is y?
-1, 0
Let r(p) be the second derivative of 0 - 1/60*p**6 + 0*p**2 - 1/40*p**5 + 1/24*p**4 + 1/12*p**3 + p. Factor r(j).
-j*(j - 1)*(j + 1)**2/2
Let c(z) = -z**2 - 10*z + 15. Let s be c(-11). Let k(y) be the first derivative of 2*y**3 - 8*y - 2*y**2 + 1/5*y**5 + 1 + 5/4*y**s. Let k(g) = 0. Calculate g.
-2, 1
Suppose 5*c + 15 = 5*i, -c - 3*i = 2*c - 21. Let l be 4 + 0 - c/1. Solve 2/7 - 4/7*y + 2/7*y**l = 0.
1
Let a(l) = 4*l**3 - l**2 + 4*l - 7. Let u(d) = -4 - 22*d**2 + 22*d**2 + 2*d**3 + 2*d. Let x(c) = -4*a(c) + 7*u(c). Factor x(j).
-2*j*(j - 1)**2
Let k = -1 + -17. Let u be (-2)/(-4) - (-9)/k. Find x such that 1/3*x**2 + u + 1/3*x = 0.
-1, 0
Let n(p) = p. Let v be 1 + 1 - (-1 + -3). Let q be n(v). Factor q*b**2 - 4*b**2 + b - 3*b.
2*b*(b - 1)
Solve -2/3 - 1/3*w + 3*w**5 + 14/3*w**2 - 4*w**4 - 8/3*w**3 = 0.
-1, -1/3, 2/3, 1
Let h(d) be the first derivative of -2/3*d**3 + 4 + 1/10*d**4 - 8/5*d + 8/5*d**2. Let h(w) = 0. What is w?
1, 2
Suppose -22*c = -23*c. Factor c + 0*b + 0*b**2 + 1/2*b**3.
b**3/2
Let 0 + 0*x + 1/2*x**5 + 0*x**2 + 0*x**3 + 1/2*x**4 = 0. Calculate x.
-1, 0
Let d = 14 + -12. Factor 2*y**d - 2*y**3 + 3*y**2 + 4*y**3 - 3*y**2 - 4*y.
2*y*(y - 1)*(y + 2)
Let f(s) be the third derivative of -s**8/294 + 3*s**7/245 + s**6/42 - s**5/70 + 22*s**2 + 2*s. Determine d so that f(d) = 0.
-1, 0, 1/4, 3
Let l = -9 - -14. Suppose -4*r + 70 = 5*o, -l*r + 99 - 34 = -5*o. Suppose -3/2 - 9/2*a**4 - r*a**3 - 9*a - 18*a**2 = 0. What is a?
-1, -1/3
Factor 0*y - 1/2*y**2 + 0 + 2*y**3.
y**2*(4*y - 1)/2
Factor 0 + 2/5*y - 2/5*y**2.
-2*y*(y - 1)/5
Suppose -2*r + 0 = -6. Suppose -3*h + 3 + 6 = 0. What is s in -28*s**2 + 16 - 6*s**4 - h*s + 11*s + 9*s**r - 35*s**3 = 0?
-2, -1, 2/3
Determine u, given that 3*u - 3/5*u**2 - 12/5 = 0.
1, 4
Let l = 3/356 + 5319/2492. Factor 0 - 3/7*n**4 - 3/7*n**3 - 9/7*n + l*n**2.
-3*n*(n - 1)**2*(n + 3)/7
Let f(m) be the second derivative of m**5/5 + 3*m**4 + 18*m**3 + 54*m**2 + 3*m. Find g such that f(g) = 0.
-3
Let h(c) = -2*c**2 - 9*c + 11. Let y(l) = 12 - 3*l - 3*l**2 - 4*l**2 - 6*l + 4*l**2. Let f(o) = -6*h(o) + 5*y(o). Factor f(a).
-3*(a - 2)*(a - 1)
Let h(l) be the third derivative of -l**8/840 + l**6/60 - l**5/30 + l**3/2 - 3*l**2. Let c(o) be the first derivative of h(o). Determine g, given that c(g) = 0.
-2, 0, 1
Let f(n) be the third derivative of 0 + 1/21*n**7 + 0*n**5 + 0*n**4 + n**2 - 1/60*n**6 - 1/42*n**8 + 0*n + 0*n**3. Factor f(w).
-2*w**3*(w - 1)*(4*w - 1)
Let h(j) be the third derivative of -j**7/4200 - j**6/900 - j**5/600 - j**3/6 + j**2. Let t(f) be the first derivative of h(f). Factor t(g).
-g*(g + 1)**2/5
Factor 0 - 4/5*w - 2*w**2 - 8/5*w**3 - 2/5*w**4.
-2*w*(w + 1)**2*(w + 2)/5
Let m(v) = v. Let c(j) = -4*j**4 - 4*j**3 + 8*j. Let x(g) = -c(g) + 8*m(g). Let x(d) = 0. Calculate d.
-1, 0
Let n be 5*3/300*2. Let x(y) be the second derivative of 1/126*y**7 + 1/9*y**4 - 2*y + 0*y**2 + 1/18*y**3 + 2/45*y**6 + n*y**5 + 0. What is d in x(d) = 0?
-1, 0
Let f = -79/2 + 399/10. Factor -f*q - 1/5 - 1/5*q**2.
-(q + 1)**2/5
Let z be -3*1*(-4)/6. Let j(k) be the first derivative of 0*k - 2/3*k**3 + 0*k**z - 3. Solve j(b) = 0.
0
Suppose 14*m - 12*m = 2. Let q(u) be the first derivative of 0*u + 0*u**3 - 1/12*u**4 + 0*u**2 + m. Factor q(h).
-h**3/3
Factor -31*r**4 + 27*r**4 + 7*r**3 - 4*r**2 + r**3.
-4*r**2*(r - 1)**2
Suppose d + d = 3*c - 9, 5*d - 3*c = 0. Suppose 0 = -d*i - 2*i. Factor i + 1/4*x**4 - 1/4*x**2 + 0*x + 1/4*x**5 - 1/4*x**3.
x**2*(x - 1)*(x + 1)**2/4
Let p(j) be the second derivative of j**4/42 - j**3/21 - j. Factor p(x).
2*x*(x - 1)/7
Let s = -68 - -38. Let l be (-26)/s + 1/(-5). Determine p so that -2/3*p**2 + p**4 + p - 1/3*p**5 - 1/3 - l*p**3 = 0.
-1, 1
Factor 3 + 17*k**2 - 4*k - 5 + 11*k**3 - k + 9*k**3.
(k + 1)*(4*k + 1)*(5*k - 2)
Factor -4*x - 5*x**3 + 5*x**2 - 3*x**2 + 4 - x**4 + 9*x**3 - 5*x**2.
-(x - 2)**2*(x - 1)*(x + 1)
Let u(g) be the third derivative of g**6/540 - g**5/135 + g**4/108 + 10*g**2. Find t such that u(t) = 0.
0, 1
Let f(h) be the second derivative of h**4/21 - 4*h**3/21 + 24*h. Factor f(n).
4*n*(n - 2)/7
Let d(y) = y**2 - 19*y + 36. Let c be d(17). Suppose -2/7 + 2/7*z**3 - 6/7*z**c + 6/7*z = 0. What is z?
1
Suppose -3*g - 3 = -12. Let 1 - 10*j**2 - 3*j**3 + 16*j + 5*j**g - 9 = 0. What is j?
1, 2
Let j(l) be the third derivative of l**7/168 - 13*l**6/480 + 3*l**5/80 + l**4/96 - l**3/12 - l**2. Let j(o) = 0. What is o?
-2/5, 1
Let m(x) be the second derivative of 0*x**2 + 0 + 1/120*x**5 - x + 0*x**4 - 1/6*x**3 + 1/360*x**6. Let v(l) be the second derivative of m(l). Factor v(k).
k*(k + 1)
Let f(v) be the third derivative of 0 - 4*v**2 - 1/480*v**6 - 1/80*v**5 + 0*v - 1/32*v**4 - 1/24*v**3. Solve f(m) = 0 for m.
-1
Let t(b) = -15*b**3 - 4*b**2 + 11. Let z(i) = -4*i**3 - i**2 + 3. Suppose -62 = -3*k + 4*q, -3*k + 20 = -2*k - 2*q. Let h(s) = k*z(s) - 6*t(s). Factor h(m).
2*m**2*(m + 1)
Let k(c) = -4*c**4 - 4*c**3 + 4*c**2 + 4*c. Let d(s) = -s**4 - s**3 + s**2 + s. Let f(g) = -3*d(g) + k(g). Factor f(l).
-l*(l - 1)*(l + 1)**2
Let b = -15 + -19. Let r(d) = -12*d**2 + 24*d + 17. Let p(q) = -2*q**2 + 4*q + 3. Let n(a) = b*p(a) + 6*r(a). Find c such that n(c) = 0.
0, 2
Let m = -655/4 + 164. Suppose 1/4*y**4 - 1/4*y - 3/4*y**2 + m*y**3 + 1/2 = 0. What is y?
-2, -1, 1
Suppose -5*f + 16 = 3*z - 10*f, -4*f = -3*z + 14. Let 1/2*m + 4*m**3 - 11/4*m**z + 0 - 7/4*m**4 = 0. What is m?
0, 2/7, 1
Determine p, given that 9/4 + 3/2*p + 1/4*p**2 = 0.
-3
Solve -2/3*v**2 + 4/3 + 2/3*v = 0.
-1, 2
Suppose 5*k = 7 + 8. Let a be (-36)/(-16) + (k - 2). Suppose 3/2*z**3 - a*z**2 + 3*z - 1 - 1/4*z**4 = 0. What is z?
1, 2
Factor -2/17*p**2 + 0 - 6/17*p.
-2*p*(p + 3)/17
Let b(w) be the second derivative of 0 - 3/14*w**3 - 1/28*w**4 + 4*w + 0*w**2. Let b(v) = 0. What is v?
-3, 0
Let m(r) be the second derivative of 1/3*r**3 + 1/24*r**4 + r**2 + 0 + 3*r. Let m(u) = 0. Calculate u.
-2
Suppose 0 = 5*s - 10*s + 10. Suppose -1 = 5*m - 0*b + 4*b, 4*m - 20 = s*b. Factor 4*k - 5*k + 2*k**m - 3*k**3 - 2*k**2.
-k*(k + 1)**2
Let b(q) = q**2 - 7*q + 12. Let x be b(4). Solve 11/2*l**2 + 2*l**4 + x - 13/2*l**3 - l = 0.
0, 1/4, 1, 2
Let k(z) be the first derivative of 0*z**2 + 0*z - 7/6*z**4 + 49/30*z**5 - 3 + 2/9*z**3. Factor k(j).
j**2*(7*j - 2)**2/6
Suppose -2*r + 14 = 5*r. Factor 2/5*w**r + 6/5*w + 4/5.
2*(w + 1)*(w + 2)/5
Factor 0 + 1/5*v**3 + 4/5*v**2 + 4/5*v.
v*(v + 2)**2/5
Let l(k) be the second derivative of k**8/840 - k**7/315 + k**6/540 + 5*k**3/6 + 2*k. Let v(f) be the second derivative of l(f). Factor v(b).
2*b**2*(b - 1)*(3*b - 1)/3
Let j(i) = 5. Let l(r) = r**5 - r**4 - r**3 + r**2 + 1. Let z(t) = j(t) - 5*l(t). Find b such that z(b) = 0.
-1, 0, 1
Suppose 4*l + l**3 - 5*l**3 - 3 + 4*l**2 + 0 - 1 = 0. Calculate l.
-1, 1
Let n be (-2)/(-4)*-1*0. Let w = 2/87 - -160/609. Factor n - 2/7*y**3 + w*y**2 + 0*y.
-2*y**2*(y - 1)/7
Determine k, given that -3/2*k**3 + 0 + 0*k - 3/2*k**2 = 0.
-1, 0
Let p(w) be the first derivative of -4 + 2/3*w**3 - 4/5*w**5 + 3*w**2 - 3/2*w**4 + 2*w. Determine u so that p(u) = 0.
-1, -1/2, 1
Suppose -2*n = 3*n - 100. Let u = 22 - n. Determine k so that -4/5 + 2/5*k**u + 2/5*k = 0.
-2, 1
Suppose 5*u = -3*x + 5, -5*x - 36 + 3 = -2*u. Let c(k) be the third derivative of -1/210*k**5 + 1/84*k**u + 0 + 0*k + k**2 + 0*k**3. Factor c(w).
-2*w*(w - 1)/7
Factor -1250*q + 1250*q - 8 + 6*q**