tor -n*y**2 + 0 - 1/3*y.
-y*(y + 1)/3
Let v = -17 + 19. Solve -81*s**v - 25*s**2 + 51*s - 4 - 13*s + 72*s**3 = 0.
2/9, 1/4, 1
Let o(w) = 2*w**2 + 4*w - 4. Let g be o(1). Determine p, given that p - 1/4*p**g - 3/4 = 0.
1, 3
Suppose -6*m - 2*m + 16 = 0. Factor 0*f + 0 - 2/5*f**m + 2/5*f**3.
2*f**2*(f - 1)/5
Let g(o) be the first derivative of o**4/4 - o**3/3 - o**2/2 + o + 4. Factor g(s).
(s - 1)**2*(s + 1)
Let w be (-8)/(-14)*35/10 + 0. Let r be (2*(-3)/(-4))/3. Factor -1/2*k**3 - 1/2*k**w + 0*k + 1/2*k**4 + r*k**5 + 0.
k**2*(k - 1)*(k + 1)**2/2
Let o(u) = 3*u + 9. Let h(t) = -4*t - 9. Let l(s) = 4*h(s) + 5*o(s). Let m be l(7). Determine x so that -30 - 2*x - m*x**2 + 30 = 0.
-1, 0
Let i(l) be the first derivative of -3*l**4/8 - 3*l**3/2 - 3*l**2/2 + 19. Solve i(a) = 0 for a.
-2, -1, 0
What is d in 0 + 18/19*d**3 - 14/19*d**2 - 4/19*d = 0?
-2/9, 0, 1
Let s(j) be the third derivative of -j**7/14 - 11*j**6/40 + 3*j**5/50 + 7*j**4/10 - 4*j**3/5 + 2*j**2. Suppose s(h) = 0. Calculate h.
-2, -1, 2/5
Let j be 16/112*(-1)/(2/(-7)). Factor 1/4*c**4 - 1/4 - j*c + 0*c**2 + 1/2*c**3.
(c - 1)*(c + 1)**3/4
Let n(u) be the second derivative of -u**6/30 - u**5/20 + u**4/12 + u**3/6 - 10*u. Let n(h) = 0. Calculate h.
-1, 0, 1
Let f(x) = 11*x**3 + x**2 - 9*x - 3. Let y(m) = 34*m**3 + 2*m**2 - 27*m - 9. Let v(i) = 7*f(i) - 2*y(i). Determine k so that v(k) = 0.
-1, -1/3, 1
Let s be 4/(-2)*(-3 + 0). Let f(g) = 1 + 4 + 2 - 4 + g**2 + 2*g. Let d(o) = o**2 - o - 1. Let q(b) = s*d(b) + 2*f(b). Factor q(i).
2*i*(4*i - 1)
Let c = 11 - 8. Solve 4 - 7/2*n**c + 15*n**2 - 18*n = 0.
2/7, 2
Let j(x) be the third derivative of x**6/40 - x**5/10 - x**4/8 + x**3 + 2*x**2. Let j(s) = 0. What is s?
-1, 1, 2
Let z(x) be the first derivative of x**6/15 + x**5/5 - 2*x**3/3 - x**2 - 3*x + 2. Let h(k) be the first derivative of z(k). Factor h(f).
2*(f - 1)*(f + 1)**3
Suppose -5*g = -0*g. Suppose -3*r + 9 = -g*r. Let 0*p + 0*p**4 + 0*p**r + 0 + 0*p**2 - 1/2*p**5 = 0. What is p?
0
Let k(u) be the third derivative of u**8/60480 + u**7/7560 + u**6/2160 + u**5/60 - 3*u**2. Let m(t) be the third derivative of k(t). Factor m(l).
(l + 1)**2/3
Determine g so that -6 + 7 + 3*g**2 + 2 - 6*g = 0.
1
Let s be -2 - 130/(-75) - 9/(-15). Suppose 0*k - s*k**4 + 0 + 1/3*k**2 + 0*k**3 = 0. Calculate k.
-1, 0, 1
Let v = -63 - -105. Let f be (2/v)/((-6)/(-36)). Factor 6/7*k**2 + 6/7*k + f + 2/7*k**3.
2*(k + 1)**3/7
Let t = -86 + 86. Factor 2/7*p**3 + t*p**2 + 0 - 2/7*p.
2*p*(p - 1)*(p + 1)/7
Factor 4/3 - 10/3*g**3 + 10/3*g - 4/3*g**2.
-2*(g - 1)*(g + 1)*(5*g + 2)/3
Let x be (-1)/(-5) + (-268)/(-60). Let s(w) be the first derivative of 5*w**2 + 2 - x*w**3 + 4*w. Factor s(z).
-2*(z - 1)*(7*z + 2)
Let j(v) be the third derivative of v**8/33600 - v**7/12600 - v**4/24 - v**2. Let w(n) be the second derivative of j(n). Let w(o) = 0. Calculate o.
0, 1
Determine h, given that -5*h**5 + 0*h**3 + 4*h**5 - h**2 + 4*h**3 - 3*h**3 + h**4 = 0.
-1, 0, 1
Factor 0*n + 4/11*n**2 + 0*n**3 - 2/11 - 2/11*n**4.
-2*(n - 1)**2*(n + 1)**2/11
Let h be (-1 - 3)*35/20. Let z = 11 + h. Factor -2*i**3 + 2*i - 2*i**z + 0*i**4 - i**2 + 0*i**3 + 3*i**2.
-2*i*(i - 1)*(i + 1)**2
Let f = 65/252 - 1/28. Factor 0 + 2/3*c**3 + 2/3*c**2 + f*c + 2/9*c**4.
2*c*(c + 1)**3/9
Suppose 0 = 4*s - 2*z - 8, -s - 3*s = -5*z - 8. Suppose s*b + b**3 + 4*b**2 - 2*b**4 + 2*b**2 + 5*b**3 + 4*b**4 = 0. Calculate b.
-1, 0
Let g be (-3)/(-32)*-4*2/(-3). Suppose -2*q + q + 2 = 0. Let -1/4*y**4 + 1/4*y**5 - 1/2*y**3 + 1/2*y**q + 1/4*y - g = 0. Calculate y.
-1, 1
Let x be 10 + (3 + 0)/1. Let r = x + -10. Determine g so that 2/5*g**r + 2/5*g**2 - 2/5 - 2/5*g = 0.
-1, 1
Let o be 4/(-6) + (-80)/(-12). Let b = 6 - o. Suppose b*u**2 - 4*u - 3 + 2 - u**2 + 2*u = 0. What is u?
-1
Let x(u) be the third derivative of -u**8/672 - 2*u**7/105 - 3*u**6/40 + 9*u**4/16 + u**2 + 3. Factor x(p).
-p*(p - 1)*(p + 3)**3/2
Let m(c) be the first derivative of -c**4/2 + 4*c**3/3 + c**2 - 4*c - 2. Factor m(u).
-2*(u - 2)*(u - 1)*(u + 1)
Let k be (-4)/10 - 8/(-20). Let s be 6/(-8) - (-1 + k). Factor -3/4*t - 1/4 - 3/4*t**2 - s*t**3.
-(t + 1)**3/4
Let l(g) = 10*g**4 - 12*g**3 - 7*g**2 + 3*g - 3. Let q(x) = -10*x**4 + 13*x**3 + 8*x**2 - 2*x + 2. Let f(v) = -2*l(v) - 3*q(v). Factor f(u).
5*u**2*(u - 2)*(2*u + 1)
Suppose -5*f + 0*j = -3*j - 1, 3*f + 3*j = 15. Let a = f + -2. Factor a + 1/3*r**2 + 0*r.
r**2/3
Suppose 1/3*q**3 + 0*q - 1/3*q**2 + 0 = 0. Calculate q.
0, 1
Let t(a) be the second derivative of -a**7/10080 - a**6/2880 - a**4/3 - a. Let o(j) be the third derivative of t(j). Factor o(v).
-v*(v + 1)/4
Suppose 8 = 2*c, -b + 3*b + 2*c = 8. Suppose b = 2*w + t - 6, -5*w = 5*t - 1 - 9. Determine q, given that -2*q**5 + 2*q**4 + 4*q**3 - 2*q**w - 2*q = 0.
-1, 0, 1
Determine m so that -10/9*m - 2/9*m**2 + 4/3 = 0.
-6, 1
Let d(t) = -t**2 + 20*t + 44. Let o(y) = -2*y**2 + 61*y + 133. Let z(l) = 11*d(l) - 4*o(l). Let z(h) = 0. Calculate h.
-4
Let d(m) be the first derivative of 7*m**6/6 + 9*m**5/5 - 19*m**4/4 - 13*m**3/3 + 6*m**2 + 4*m + 1. Determine q so that d(q) = 0.
-2, -1, -2/7, 1
Let b(p) be the second derivative of -p**6/90 - p**5/60 + p**4/12 + 5*p**3/18 + p**2/3 + 20*p. Suppose b(m) = 0. Calculate m.
-1, 2
Let h = 4258/9 - 472. Factor -50/9*l**3 - 8/9 + 32/9*l - h*l**2.
-2*(l + 1)*(5*l - 2)**2/9
Let f(i) be the first derivative of -3/5*i**2 + 9/5*i + 3 - 1/5*i**3. Find g, given that f(g) = 0.
-3, 1
Suppose -4 = -3*x - g, 3*x - x = -g + 1. Find k, given that -2*k**2 - 2*k + x - k**2 + 2*k = 0.
-1, 1
Let i(a) = -1 - 4 - 6*a**2 + 0 + 8*a - 5*a**2. Let h = 8 - -5. Let z(p) = -5*p**2 + 4*p - 2. Let n(u) = h*z(u) - 6*i(u). Suppose n(b) = 0. Calculate b.
-2
Let w = 4 + 2. Let c be 7 + 2/(-4)*w. Suppose -5*v**4 + 0*v**4 + v**c + 2*v**5 + 4*v**2 - 2*v**3 = 0. Calculate v.
-1, 0, 1, 2
Let -15*a + 56*a**2 - 51*a**2 + 18 - 8 = 0. What is a?
1, 2
Let o(k) be the first derivative of 3/16*k**4 + 3/20*k**5 + 1/12*k**3 + 0*k + 1/24*k**6 - 3 + 0*k**2. Factor o(x).
x**2*(x + 1)**3/4
Let x(d) be the third derivative of -d**8/20160 - d**7/5040 + d**6/360 - d**5/60 - 2*d**2. Let c(r) be the third derivative of x(r). Find t such that c(t) = 0.
-2, 1
Let q = -16 + 20. Let c = -26 + 53/2. Find l such that c*l**q + 0*l**3 + 0*l + 0 - 1/2*l**2 = 0.
-1, 0, 1
Suppose 2*w**3 + 3/4*w + 0 + 11/4*w**2 - w**4 = 0. What is w?
-1/2, 0, 3
Suppose 16*a + 3*a**2 + 0*a**2 - 4*a + 3*a + 18 = 0. What is a?
-3, -2
Let m be 3/(2 - 1 - 2). Let g = 2 - m. Factor l**4 + 3*l**g - l**5 - 3*l**4.
2*l**4*(l - 1)
Let x(f) = -2*f**4 - 6*f**3 + 18*f**2 - 10*f + 18. Let i(q) = -q**2 + q - 1. Let z(v) = -36*i(v) - 2*x(v). Let z(d) = 0. Calculate d.
-2, 0, 1
Factor -3/7*s**3 - 45/7*s**2 - 225/7*s - 375/7.
-3*(s + 5)**3/7
Let x(w) be the first derivative of -4*w**6/9 - 4*w**5/15 + w**4 + 4*w**3/9 - 2*w**2/3 - 15. Solve x(k) = 0.
-1, 0, 1/2, 1
Let t(u) be the third derivative of -u**5/240 - u**4/48 - u**3/24 - 9*u**2. Factor t(y).
-(y + 1)**2/4
Suppose 17*d = 13*d. Factor d*u - 4/5*u**2 + 0 - 2/5*u**3.
-2*u**2*(u + 2)/5
Let r(i) = i + 10. Let u be r(-7). Factor 2*o**3 + 6*o**4 + 4*o**3 - 2*o**u - o**3 + 3*o**5.
3*o**3*(o + 1)**2
Let s(m) be the third derivative of 0 + 0*m**3 - 1/100*m**5 + 7*m**2 - 1/10*m**4 + 0*m. Let s(x) = 0. What is x?
-4, 0
Let x be 2/(-9) + (-932)/(-1530). Let d = x + 2/153. Determine c, given that 0*c - 8/5*c**5 + 8/5*c**3 + 2/5*c**4 - d*c**2 + 0 = 0.
-1, 0, 1/4, 1
Let d be 1 + (38/(-30) - 2/(-3)). Factor -d*a - 3/5*a**2 - 1/5*a**3 + 0.
-a*(a + 1)*(a + 2)/5
Let y(z) = -z**3 - 4*z**2 - z. Let f = -20 - -16. Let j be y(f). Suppose -1/3*q - 2/3*q**2 + 0*q**3 + 0 + 2/3*q**j + 1/3*q**5 = 0. What is q?
-1, 0, 1
Let c(g) be the second derivative of -10*g**7/3 + 51*g**6/5 + 16*g**5/5 - 37*g**4/2 - 16*g**3/3 + 12*g**2 - 2*g. Find l, given that c(l) = 0.
-3/5, -1/2, 2/7, 1, 2
Let q be 2/(-2 + 0)*2. Let n be 2/(-3 - -2 - q). Let 3*y**3 + y**n - y**3 + 0*y + 2*y - 5*y**2 = 0. Calculate y.
0, 1
Let l(w) = w + 1. Let k be l(-1). Let y be 176/(-275)*((-105)/6)/7. What is g in -2/5*g + k - y*g**2 = 0?
-1/4, 0
Let v be (5/(-2))/(1/(-2)). Suppose -3*p - 25 = -5*b, -4*b = v*p + b - 25. Factor 0 + 2/3*l**4 + 0*l**3 + p*l + 0*l**2 + 2/3*l**5.
2*l**4*(l + 1)/3
Let h = -11 + 16. Let c = -5 + h. Determine k so that -3/5*k**3 + 1/5*k**4 - 1/5*k