
-1, 0, 1
Let b be 12/(-66) - 1216/(-154). Let r = b + -52/7. Factor r*t**3 + 0*t - 2/7*t**2 - 2/7*t**5 + 0 + 2/7*t**4.
-2*t**2*(t - 1)**2*(t + 1)/7
Suppose -20 = -4*o + f - 5*f, -4*o + 2 = -5*f. Factor 18 - 18 - t - 2*t - o*t**2.
-3*t*(t + 1)
Factor 8*x**2 - 36*x**2 + 16 - 296*x + 248*x.
-4*(x + 2)*(7*x - 2)
Let i(x) be the second derivative of -1/4*x**3 + 0*x**2 + 1/4*x**4 - 3/40*x**5 + 0 - 6*x. Solve i(r) = 0.
0, 1
Solve 1 + 2*j + 0 - j**2 + 2 = 0 for j.
-1, 3
Suppose 318 = 7*o - 711. Let j = o + -731/5. Factor 0 - 2/5*g**3 - 2/5*g + j*g**2.
-2*g*(g - 1)**2/5
Let d(w) be the third derivative of 0*w + 0 - 2*w**2 + 0*w**3 + 0*w**4 + 1/210*w**5 - 1/210*w**6 - 1/105*w**7 - 1/294*w**8. Factor d(x).
-2*x**2*(x + 1)**2*(4*x - 1)/7
Let b(c) = -c**3 + c**2. Let k be ((-3)/(-2))/(6/(-8)). Let y(l) = -10*l**3 + 8*l**2 + 2*l. Let o(h) = k*y(h) + 22*b(h). Determine t so that o(t) = 0.
0, 1, 2
Let i(b) = 6*b**4 - 14*b**3 - 14*b**2 + 14*b - 8. Let d(l) = -2*l**4 + 5*l**3 + 5*l**2 - 5*l + 3. Let c(a) = -8*d(a) - 3*i(a). Solve c(t) = 0 for t.
-1, 0, 1
Factor -1/3*v**2 - 1/6*v**5 + 0 + 1/6*v + 0*v**3 + 1/3*v**4.
-v*(v - 1)**3*(v + 1)/6
Let w(f) be the first derivative of -4*f**6/15 + f**5/10 - 5*f + 1. Let z(d) be the first derivative of w(d). Factor z(y).
-2*y**3*(4*y - 1)
Let y be -1*1*1*-2. Let c(q) = q**2 - 8*q + 9. Let b be c(7). Suppose -4 + b + 3*o**2 - o**y = 0. What is o?
-1, 1
Let u(m) = -9*m**3 + 3*m**2 + 7*m - 1. Let j(t) = 4*t**3 - t**2 - 4*t + 1. Let c(l) = -7*j(l) - 3*u(l). Solve c(k) = 0 for k.
-4, 1
Let r be 1/6 + 6/36*-1. Let u(w) be the third derivative of r - 1/90*w**5 + 0*w + 1/36*w**4 + 0*w**3 - w**2. Factor u(n).
-2*n*(n - 1)/3
Let l(h) = -h - 3. Let m be l(-5). Factor -k**5 - k**m + 0*k**5 - 4*k**4 + 3*k**4 + k**3 + 2*k**4.
-k**2*(k - 1)**2*(k + 1)
Let j(q) = q**3 - 14*q**2 + 11*q + 26. Let i be j(13). Factor 0*z**4 + i - 1/2*z**3 + 0*z**2 + 1/2*z**5 + 0*z.
z**3*(z - 1)*(z + 1)/2
Suppose -7*k = -2*k + 5. Let u be (k + 1 - -1)*3. Factor -2*r**5 + 4*r**5 + 2*r**2 + 5*r**3 - 4*r**3 + 5*r**u + 6*r**4.
2*r**2*(r + 1)**3
Let r(u) be the second derivative of 1/16*u**4 - u + 0*u**2 + 0 - 1/4*u**5 + 1/12*u**3. What is g in r(g) = 0?
-1/4, 0, 2/5
Factor 25*h**2 - 35*h**2 - 140*h + 15*h**2 + 980.
5*(h - 14)**2
Let d(l) = 17*l + 3. Let f be d(0). Factor 2/11*a**4 + 6/11*a**2 + 6/11*a**f + 2/11*a + 0.
2*a*(a + 1)**3/11
Let y(j) be the second derivative of j**7/2100 + j**6/900 + j**3/2 - 2*j. Let b(o) be the second derivative of y(o). Suppose b(a) = 0. What is a?
-1, 0
Let q = 5/14 + -1/14. Let z be 1/7 + 1/1. Suppose 0 + 8/7*c**2 + 2/7*c + q*c**5 + z*c**4 + 12/7*c**3 = 0. Calculate c.
-1, 0
Let s(z) = z. Let i(l) = -2*l + 2. Let m(g) = i(g) + s(g). Let x be m(0). Factor 2 + x*p**2 + 4*p + 2*p - 2*p.
2*(p + 1)**2
What is r in -15/8*r**2 + 21/8*r - 3/4 = 0?
2/5, 1
Let l be (-2 + 3)/(-2)*(-66)/99. Factor l*c**2 + 2/3*c + 0.
c*(c + 2)/3
Let i(v) be the first derivative of -v**4/5 + 4*v**3/15 + 2*v**2/5 - 4*v/5 - 3. Factor i(l).
-4*(l - 1)**2*(l + 1)/5
Suppose 4/5*j**2 + 0 + 4/5*j = 0. What is j?
-1, 0
Let r(i) be the third derivative of -2*i**7/315 - i**6/45 - i**5/45 - 4*i**2. Factor r(a).
-4*a**2*(a + 1)**2/3
Let c(h) = -h**2 - 9*h. Let v be ((4 - 22)*1)/2. Let r be c(v). Suppose r*y + 1/3*y**3 + 0 + 1/3*y**2 = 0. What is y?
-1, 0
Factor -2/11*w**2 + 0 + 4/11*w.
-2*w*(w - 2)/11
Let a(n) = n + 20. Let w be a(-20). Factor -1/2*g**2 + 0 + 0*g**3 + w*g + 1/2*g**4.
g**2*(g - 1)*(g + 1)/2
Let b(i) = -i**2 - 10*i + 7. Let j be b(-9). Suppose 0 = 3*z + 4 - j. Factor 24*l**3 - 11*l**5 + 12*l**2 - 5*l**4 - 4*l**z - 16*l**5 + 0*l**4.
-3*l**2*(l - 1)*(3*l + 2)**2
Let f be 130/180 - 4/18. Find y such that -1/2 - f*y + y**2 = 0.
-1/2, 1
Let h(p) be the third derivative of p**6/40 - 3*p**5/20 + 3*p**4/8 - p**3/2 + 3*p**2. Determine k so that h(k) = 0.
1
Let i = 87 - 87. Find s, given that -22/5*s**3 + i - 1/5*s + 24/5*s**4 - 9/5*s**5 + 8/5*s**2 = 0.
0, 1/3, 1
Let v be 4 - -1 - 3/((-15)/5). Let t(d) be the first derivative of -1/27*d**v + 0*d**2 + 0*d + 0*d**4 - 2/45*d**5 + 0*d**3 - 2. Solve t(p) = 0 for p.
-1, 0
Let u(w) be the second derivative of -3/20*w**5 - 1/12*w**3 - 1/84*w**7 + 1/6*w**4 + 1/15*w**6 + 0*w**2 + 0 + w. What is v in u(v) = 0?
0, 1
Suppose k + 3 = 3*h - 2, 0 = -2*k + 3*h - 1. Factor 2*j**3 + 4 - 2*j - 3*j**2 - 5*j**2 + k*j**2.
2*(j - 2)*(j - 1)*(j + 1)
Let d(v) = -v + 2. Let m be d(0). Let w be (3/m)/((-12)/(-20)). Let 1 + 7/2*u + w*u**2 = 0. Calculate u.
-1, -2/5
Suppose 14*g - 14 = 14. Let i be -3*6/(-99)*1. Solve -2/11*p + i*p**g - 4/11 = 0 for p.
-1, 2
Let r(i) be the first derivative of -2*i**5/5 - 2*i**4 - 4*i**3 - 4*i**2 - 2*i + 11. Factor r(b).
-2*(b + 1)**4
Let h be 2*((-3)/(-6))/(-1). Let l = 2 - h. Let 0*n**2 + 2*n**2 + l*n - 2 + 3*n**2 - 6*n**2 = 0. What is n?
1, 2
Determine w so that -14*w - 45 - 23 - 2*w**2 + 19 + w**2 = 0.
-7
Let c be (-1 - 0/(-2))*-3*1. Suppose -3*y - 5*d = -2*d, y + 2*d = 0. Factor 0 - 2/9*u**c + y*u**2 + 2/9*u.
-2*u*(u - 1)*(u + 1)/9
Let j(g) be the first derivative of g**5/15 + 5*g**4/6 + 32*g**3/9 + 16*g**2/3 + 35. Find r, given that j(r) = 0.
-4, -2, 0
Factor 0 + 4/11*w**2 + 0*w + 2/11*w**4 + 6/11*w**3.
2*w**2*(w + 1)*(w + 2)/11
Let f(m) be the third derivative of m**6/200 + m**5/50 - m**4/10 - 4*m**3/5 + 5*m**2. Find s such that f(s) = 0.
-2, 2
Suppose -2*o - 3*t - 2*t + 29 = 0, 0 = 3*t - 15. Let i(c) be the second derivative of -2/3*c**4 + 1/4*c**5 + c + 0 + c**o + 1/6*c**3. Factor i(b).
(b - 1)**2*(5*b + 2)
Let s(f) be the first derivative of -7*f**6/4 + 18*f**5/5 - 9*f**4/8 - f**3 - 43. Determine b, given that s(b) = 0.
-2/7, 0, 1
Let t = 525 + -523. Solve 3/2*n**3 + 1/4*n**5 + 1/4*n - n**t - n**4 + 0 = 0 for n.
0, 1
Let g(q) = -2*q**2 - 3*q - 4. Let d(a) = -a**3 - 4*a**2 + a - 2. Let k be d(-4). Let x(h) = h + 1. Let f(u) = k*x(u) - g(u). Find b such that f(b) = 0.
-1/2, 2
Suppose u - 1 = 1. Suppose -4*s - u*b = 0, b = 3*s - 3*b. Factor 2/5*m**5 + 2/5*m - 4/5*m**3 + s + 0*m**4 + 0*m**2.
2*m*(m - 1)**2*(m + 1)**2/5
Let o = 26 - 16. Factor 4*v + 2*v**4 + o*v**2 - 4*v**3 - 2 - 10*v**2 + 0*v.
2*(v - 1)**3*(v + 1)
Let g(q) = -12*q**2 - q**4 - 4*q + 3*q + 11*q**2. Let r = 1 + -2. Let f(u) = -4*u**4 + u**3 - 6*u**2 - 6*u. Let n(l) = r*f(l) + 5*g(l). Factor n(w).
-w*(w - 1)*(w + 1)**2
Let x(b) be the first derivative of b**4/10 - 4*b**3/15 + b**2/5 - 20. Suppose x(z) = 0. What is z?
0, 1
Let u(h) be the first derivative of h**8/168 - h**6/15 - h**5/15 + h**4/4 + 2*h**3/3 + h**2/2 - 2. Let f(y) be the second derivative of u(y). Factor f(l).
2*(l - 2)*(l - 1)*(l + 1)**3
Let k be 3/((-3)/1)*0. Factor -4*q + 0 + 2*q**2 + k*q**2 + 0.
2*q*(q - 2)
Let c(f) be the first derivative of -f**8/16 - 19*f**7/70 - f**6/5 + f**5/5 + f**2 - 9. Let w(z) be the second derivative of c(z). Solve w(i) = 0 for i.
-2, -1, 0, 2/7
Factor -500 - 239*u - 92*u**2 - 4*u**3 - 61*u + 32*u**2.
-4*(u + 5)**3
Let r(g) be the second derivative of -g**8/3360 + g**7/630 + g**4/12 + 3*g. Let k(d) be the third derivative of r(d). Let k(m) = 0. What is m?
0, 2
Factor -9*v + 9*v - 7*v**2 + 6*v**2.
-v**2
Let j(x) = -88*x**2 - 2*x + 8. Suppose 3*w = -w - 5*k - 20, 0 = -2*k. Let o = -20 + 8. Let c(d) = 35*d**2 + d - 3. Let a(m) = o*c(m) + w*j(m). Factor a(u).
2*(2*u - 1)*(5*u + 2)
Let q be (9/(-2))/3*-2. Factor -r**3 + 3*r**4 - r**3 + 6*r**q + 2*r**3 + 3*r**2.
3*r**2*(r + 1)**2
Let k(m) be the first derivative of 2*m**6/3 + 4*m**5/5 - m**4 - 4*m**3/3 + 4. Suppose k(h) = 0. Calculate h.
-1, 0, 1
Let r = -37/15 + 14/5. Find l such that r*l**4 + 0 + 0*l**2 - 1/3*l**3 + 0*l = 0.
0, 1
Let n(d) be the second derivative of d**7/42 + d**6/15 - d**4/6 - d**3/6 - 13*d. Factor n(b).
b*(b - 1)*(b + 1)**3
Suppose -2*n - y + 13 = 4*y, 15 = -5*y. Factor 2*t - 10*t**2 + 3 + 1 + n*t**2 + 6*t.
4*(t + 1)**2
Let h(f) be the first derivative of f**3 - 3/8*f**4 - 3/4*f**2 + 0*f + 7. Suppose h(y) = 0. What is y?
0, 1
Let m(p) be the first derivative of 5*p**4/4 - 10*p**3/3 - 35*p**2/2 - 20*p + 1. Factor m(y).
5*(y - 4)*(y + 1)**2
Let b(y) be the second derivative of y**5/40 - y**3/12 + y. Let b(j) = 0. What is j?
-1, 0, 1
Let d(s) be the first derivative of -s**5/30 + s**4/12 - s**3/18 - 18. Let d(w) = 0. Calculate w.
0, 1
Suppose 2*w = 2*l + 2, -3 = 8*w - 6*w + 3*l. Facto