 + 1)/5
Suppose -2*g + 21 - 1 = 0. Let -19*r + 44*r**3 - 45*r - 52*r**2 + 68*r**4 - 26 + 20*r**5 + g = 0. What is r?
-2, -1, -2/5, 1
Suppose 4*z = -2*c - 14, 16 = -4*c - 3*z - z. Let n = 3 + c. Solve 2*d - 4*d - 2*d**n + 0*d = 0.
-1, 0
Let q = -7 - -7. Factor -z**5 + 3*z**4 - z**2 + 2*z**4 - 4*z**4 + q*z**3 + z**3.
-z**2*(z - 1)**2*(z + 1)
Suppose -o + 0*o - 2*s = -12, 16 = 2*o + 2*s. Suppose y = o*y. Solve -4*g**3 + 0 + y - 4 - 32*g**2 + 22*g + 18*g**3 = 0.
2/7, 1
Suppose -3*p + 6*p - 36 = 0. Suppose -l = 4*x + l - p, -2*l = 2*x - 8. Factor -2 + x + 2*w**2 - 2.
2*(w - 1)*(w + 1)
Let w(y) be the second derivative of 1/120*y**6 + y**2 - 3*y + 0 + 0*y**3 + 0*y**5 - 1/24*y**4. Let v(c) be the first derivative of w(c). Factor v(n).
n*(n - 1)*(n + 1)
Let h = 442 + -2204/5. What is r in -h*r - 4/5 - 2/5*r**2 = 0?
-2, -1
Let i(g) = g**2 - g. Let t(x) = 2*x**2 + x + 9. Let j(p) = -5*i(p) + t(p). Solve j(s) = 0.
-1, 3
Let y(h) be the second derivative of 1/25*h**5 - 2/15*h**3 + 0*h**4 + 1/75*h**6 - 1/5*h**2 + 0 + 3*h. Solve y(p) = 0.
-1, 1
Let h(y) = -10*y**2 + 44*y - 6. Let z(w) = -2*w**2 + 9*w - 1. Let j(b) = 3*h(b) - 14*z(b). Factor j(x).
-2*(x - 2)*(x - 1)
Suppose -4*n + 16 = o - 3*o, o - n + 3 = 0. Factor -o*m**2 + 2*m - 2/3 + 2/3*m**3.
2*(m - 1)**3/3
Factor -116*j**2 + 227*j**4 + 361*j**3 + 1 + 332*j**2 + 285*j**4 - 25*j - 1065*j**3.
(j - 1)*(8*j - 1)**3
Let i(g) be the first derivative of 0*g**2 - 1/6*g**3 + 1/8*g**4 + 1/10*g**5 - 2 + 0*g - 1/12*g**6. Suppose i(f) = 0. What is f?
-1, 0, 1
Suppose -h - 5*t = h + 10, 2*t = -8. Let y(b) be the third derivative of b**2 + 1/30*b**h + 0*b**4 + 0 + 0*b**3 + 0*b. Find j such that y(j) = 0.
0
Let y(w) be the first derivative of -7 + 0*w**4 + 0*w**2 + 0*w - 2/27*w**3 + 2/45*w**5. Solve y(k) = 0.
-1, 0, 1
Factor 2*y - 2/3*y**2 + 8/3.
-2*(y - 4)*(y + 1)/3
Factor 3/2*c**2 + 1/2 - 3/2*c - 1/2*c**3.
-(c - 1)**3/2
Let w(m) = -3*m - 9. Suppose 2*s + 8 = 4*p, 0 = -3*s + 5*p - 12 - 0. Let l be w(s). What is j in -2/5*j**4 + 0*j + 0 - 4/5*j**l - 2/5*j**2 = 0?
-1, 0
Let l(n) = n**2 + 11*n + 12. Let w be l(-10). Suppose 4*c - 16 = -w*x + 6*x, -20 = -x - 5*c. Factor -2/5*m + 0*m**2 + x + 2/5*m**3.
2*m*(m - 1)*(m + 1)/5
Let r = 25/78 - 1/6. Determine a so that -4/13*a**4 + 0 - r*a**5 + 2/13*a + 4/13*a**2 + 0*a**3 = 0.
-1, 0, 1
Let s = 3 - 3. Suppose 4*v = 5*v - 2. Factor s*j**4 + v*j**4 - 4*j + 4*j**3 - 2 + 0*j**4.
2*(j - 1)*(j + 1)**3
Let b(l) = -7*l**3 + 9*l**2. Let m(y) = -4*y**3 + 5*y**2. Let r(d) = -3*b(d) + 5*m(d). Factor r(u).
u**2*(u - 2)
Let y(p) be the third derivative of 3/25*p**5 + 13/525*p**7 + 0 + 1/15*p**3 - 1/280*p**8 + 0*p - 7/60*p**4 - 11/150*p**6 - 3*p**2. Let y(t) = 0. What is t?
1/3, 1
Let d = -191/4 - -48. Let o(b) be the third derivative of 1/30*b**5 + 4*b**2 - d*b**4 + 0*b + 2/3*b**3 + 0. Factor o(j).
2*(j - 2)*(j - 1)
Let s(g) = g**2 - 9*g + 17. Let o be s(7). Let l(p) be the first derivative of -2 - p - 3/4*p**2 - 1/6*p**o. What is m in l(m) = 0?
-2, -1
Let n = 7 - 13/2. Factor 3/4*d**3 + 3/4*d - 2*d**2 + n.
(d - 2)*(d - 1)*(3*d + 1)/4
Let k(d) be the first derivative of d**6/9 + 2*d**5/15 - d**4/2 - 2*d**3/9 + 2*d**2/3 + 7. Solve k(n) = 0 for n.
-2, -1, 0, 1
Let v(k) be the first derivative of -k**6/10 + 3*k**5/10 - k**4/4 + 9*k - 5. Let a(l) be the first derivative of v(l). Factor a(q).
-3*q**2*(q - 1)**2
Let z(p) be the first derivative of 3/4*p**4 + 3*p**2 - 3*p**3 + 3 + 0*p. Find f, given that z(f) = 0.
0, 1, 2
Let g(s) be the first derivative of 4*s**6/3 + 4*s**5/5 + 2. Factor g(f).
4*f**4*(2*f + 1)
Suppose 0 = 3*x - 5 - 16. Suppose 4*f - 2*h = 3*h + 3, 5*h = -f + x. Factor 3/4*g**3 - 1/4*g**5 + 1/2*g + 1/4*g**4 - 5/4*g**f + 0.
-g*(g - 1)**3*(g + 2)/4
Let x(n) be the third derivative of 0*n**3 + 1/12*n**5 - 1/60*n**6 + 0*n + 0 + 1/12*n**4 - 1/42*n**7 + n**2. Factor x(d).
-d*(d - 1)*(d + 1)*(5*d + 2)
Factor 5*a**3 - 6*a**2 + 4*a**2 - 3*a**3.
2*a**2*(a - 1)
Suppose -2 - 5 - 12*d**3 + 3*d**2 + 9*d + 7 = 0. Calculate d.
-3/4, 0, 1
Let w(a) = 2*a**3 - 5*a**2 - 5*a + 2. Let q(m) = -m**3 + m**2 - 2. Let n(k) = -q(k) - w(k). Determine t so that n(t) = 0.
-1, 0, 5
Suppose 2*c - 15 = -3*c, -2*k + 3*c = 19. Let u be 5*(4/k)/(-2). Solve -i**2 - u*i + 0*i + 5*i**2 = 0.
0, 1/2
Let v = -6 + 8. Suppose 2*n = n + v. Factor -n*m + 4*m**2 + 4*m + 8*m**3 + 6*m**2.
2*m*(m + 1)*(4*m + 1)
Let b(h) = -h**3 + h - 1. Let u(t) = t**3 - 2*t**2 - 2*t + 2. Let s(z) = 2*b(z) + u(z). Factor s(p).
-p**2*(p + 2)
Suppose -16 = -4*u + 2*q + 2*q, 5*u - q = 16. Let p(c) be the third derivative of 0 - 1/210*c**5 + 2*c**2 + 1/42*c**4 - 1/21*c**u + 0*c. Solve p(d) = 0.
1
Solve 6*f**3 + 383*f**2 - 3*f**3 - 407*f**2 + f**3 = 0 for f.
0, 6
Let q(i) be the third derivative of -i**2 + 0*i**4 + 0 + 1/360*i**5 + 0*i**3 + 0*i + 1/720*i**6. Factor q(c).
c**2*(c + 1)/6
Let z = -303 - -1516/5. Let 0*w + z*w**5 - 1/5*w**3 + 1/5*w**4 - 1/5*w**2 + 0 = 0. What is w?
-1, 0, 1
Suppose 1/2*m**2 + 121/2 - 11*m = 0. Calculate m.
11
Let p(o) be the third derivative of o**6/540 + o**5/270 - o**4/108 - o**3/27 - 3*o**2. Let p(u) = 0. Calculate u.
-1, 1
Let k(v) = -6*v**5 + 7*v**4 + 12*v**3 - 13*v - 7. Let c(a) = -3*a**5 + 4*a**4 + 6*a**3 - 7*a - 4. Let r = -5 - -1. Let b(l) = r*k(l) + 7*c(l). Factor b(p).
3*p*(p - 1)**2*(p + 1)**2
Let f = 39 - 34. Let u(i) = -i**2 + 6*i - 1. Let t be u(f). Find q such that 1/4*q**5 + q**3 + 1/2 + 1/2*q**2 - 5/4*q - q**t = 0.
-1, 1, 2
Let r(q) = q**2 + 6*q - 11. Let i be r(-8). Let m(v) = 2*v**2 - 6*v. Let u(f) = 4*f**2 - 13*f - 1. Let b(a) = i*m(a) - 2*u(a). Factor b(t).
2*(t - 1)**2
Factor 21/4*g**3 + 33/4*g**2 + 3/4 + g**4 + 19/4*g.
(g + 1)**2*(g + 3)*(4*g + 1)/4
Let l(i) be the second derivative of -4/105*i**6 + 0*i**2 + 3/35*i**5 - 2/21*i**4 + 0 + 1/21*i**3 + i + 1/147*i**7. Factor l(a).
2*a*(a - 1)**4/7
Let a be 2 - 12/7 - 108/(-63). Factor 0*z + 1/2*z**a - 1/2.
(z - 1)*(z + 1)/2
Let l be 1*(-3 - -4 - 1). Let f(x) be the third derivative of 0*x - 1/60*x**5 + x**2 - 1/12*x**4 + l - 1/6*x**3. Determine q, given that f(q) = 0.
-1
Let r(l) be the third derivative of l**6/180 + l**5/45 + l**4/36 + 24*l**2. Determine a, given that r(a) = 0.
-1, 0
Let f = 316125388/395 - 800317. Let m = f - 3/79. Factor 4/5*x**4 - 2/5*x**3 + 0 + 0*x + 0*x**2 - m*x**5.
-2*x**3*(x - 1)**2/5
Let w(a) be the third derivative of -a**8/20160 + a**4/12 + 3*a**2. Let c(i) be the second derivative of w(i). Solve c(n) = 0 for n.
0
Let b be -7*(12/(-7))/4. Let w be 5*-1*1*-1. Solve 4*d**b + d - 8*d + 8*d**w - 5*d + 2 - 18*d**4 + 16*d**2 = 0.
-1, 1/4, 1
Let v = 36 + -41. Let r be v/(-20) + 0/(-2). Suppose r*c**2 + 1/4 - 1/2*c = 0. What is c?
1
Let r(l) be the third derivative of -l**8/56 - 4*l**7/105 - l**6/60 + 43*l**2 + 2. Find o, given that r(o) = 0.
-1, -1/3, 0
Suppose 3*t + 5*c - 10 = 1, -24 = 4*t - 3*c. Let z be 1/2*2 - t. Let 0 + 2/9*r**z + 0*r**3 - 2/9*r**2 + 0*r = 0. Calculate r.
-1, 0, 1
Let t = -16 - -20. Find n, given that 2/3*n**2 + 4/9*n + 0 - 32/3*n**t - 62/9*n**3 - 32/9*n**5 = 0.
-2, -1, -1/4, 0, 1/4
Let b(q) be the third derivative of q**5/30 + q**4/12 + 7*q**2. Factor b(s).
2*s*(s + 1)
Suppose 22*v - 84 = v. Factor 0*t - 1/2*t**3 - 5/2*t**v + 0 + 1/2*t**2 - 3/2*t**5.
-t**2*(t + 1)**2*(3*t - 1)/2
Let q(o) be the third derivative of o**6/200 + o**5/100 - 6*o**2. Factor q(v).
3*v**2*(v + 1)/5
Let a(p) = -11*p + 79. Let h be a(7). Let v(b) be the second derivative of -1/6*b**4 + 4*b + 2*b**3 + 0 - 9*b**h. Factor v(c).
-2*(c - 3)**2
Let j be 19/(-6) - 6/(-36). Let h be (-14)/(-2) - (j - -7). Factor -2/3*q**2 + 4/9 - 2/3*q**4 - 2/3*q + 14/9*q**h.
-2*(q - 1)**3*(3*q + 2)/9
Suppose -g + 6 - 4 = 0. Let 3*y**4 + 0*y**4 + y**4 - 2*y**4 - g*y**2 = 0. Calculate y.
-1, 0, 1
Let m(p) be the second derivative of p**5/240 + p**4/24 + p**3/6 + 5*p**2/2 - 5*p. Let q(x) be the first derivative of m(x). Suppose q(j) = 0. What is j?
-2
Suppose 4/5*f**2 - 2*f**5 + 0 - 18/5*f**3 + 0*f + 24/5*f**4 = 0. What is f?
0, 2/5, 1
Let c(a) be the first derivative of 7/40*a**5 - 1/2*a**2 - 7/12*a**3 - 2*a + 1/12*a**4 + 3. Let b(f) be the first derivative of c(f). Factor b(d).
(d - 1)*(d + 1)*(7*d + 2)/2
Let a(u) = u**3 - u**2 - u - 1. Let x(d) = 4*d**3 + 4*d**2 - d + 1. Let g(y) = -4*a(y) - 4*x(y). Factor g(q).
-4*q*(q + 1)*(5*q - 2)
Let n = 9/26 - -2/13. Le