a) be the first derivative of -2*a**3/27 + 9. Factor u(v).
-2*v**2/9
Suppose -5*a = 4*q + 35, -28 = 4*a + q + 3*q. Let y = a - -7. Factor 1/2*w + 1/2*w**2 + y.
w*(w + 1)/2
Let 2/9*v**4 - 2/3*v**3 + 0*v**2 + 0*v + 0 = 0. Calculate v.
0, 3
Suppose -20 = -6*z + z. Factor -2*q**2 + 3*q**2 - 3*q + z*q - 2*q.
q*(q - 1)
Let i = 458/33 + -72/11. Let 0 + i*v**2 - 4/3*v = 0. Calculate v.
0, 2/11
Suppose -2*p = 4*h - 10, -5 + 16 = 5*p - 4*h. Factor 2/5*w - 4/5*w**2 - 2/5*w**p + 4/5.
-2*(w - 1)*(w + 1)*(w + 2)/5
Let b(l) be the second derivative of -l**2 + 0 + 1/6*l**4 - 4*l + 0*l**3. Factor b(d).
2*(d - 1)*(d + 1)
Let m(s) be the third derivative of s**5/15 + s**4/2 + 3*s**2. Let m(g) = 0. What is g?
-3, 0
Let o(s) be the first derivative of 7*s**6/18 + 3*s**5/5 + s**4/6 + 30. Factor o(q).
q**3*(q + 1)*(7*q + 2)/3
Let i be (52/16 - 1) + 2/(-1). Let y(d) be the first derivative of 3/8*d**2 + 3 + 3/2*d - i*d**3. Find f, given that y(f) = 0.
-1, 2
Let z(o) be the third derivative of 0*o + 13/60*o**4 - 2/15*o**3 - 2*o**2 - 22/525*o**7 + 19/150*o**6 + 1/168*o**8 + 0 - 16/75*o**5. Factor z(v).
2*(v - 1)**4*(5*v - 2)/5
Let o(r) = -r**3 + r + 1. Suppose -z = -2*z - 1. Let n(k) = 14*k**2 + 6*k - 8*k**3 + 6 - 12*k**2 + 0*k**3. Let h(p) = z*n(p) + 6*o(p). Let h(w) = 0. What is w?
0, 1
Let d(u) be the first derivative of -5*u**3/6 - 7*u**2/4 + 3*u + 7. Solve d(z) = 0.
-2, 3/5
Let l = -228 + 1149/5. Let x be 28/(-28) + (-1)/((-10)/16). Factor 0 + l*g**3 + 3/5*g + x*g**4 + 9/5*g**2.
3*g*(g + 1)**3/5
Let l(c) = -6 + 0*c**2 - 9*c**3 - 3*c**2 - 3*c**5 - 3*c**2 - 6*c. Let y(x) = -x**5 - x**3 - x**2 - x - 1. Let n(d) = l(d) - 6*y(d). Solve n(p) = 0 for p.
-1, 0, 1
Let a(b) = 2*b + 0 + 0*b + 2. Let j(r) = -r**2 + 11 + 16*r - 5*r - r**2 + r**2 - r**3. Let w(v) = 11*a(v) - 2*j(v). Factor w(m).
2*m**2*(m + 1)
Let o = -34 - -41. Let q(w) be the third derivative of 0 + 0*w + 1/165*w**6 + 0*w**3 - 1/1155*w**o - 4*w**2 - 2/165*w**5 + 0*w**4. Find k such that q(k) = 0.
0, 2
Suppose 4*n + 2 - 22 = 0, 3*v + 2*n = 22. Suppose 3*l - 9 = 0, -v*p + 3*l = -3*p + 9. Suppose 0 - 2/3*b**2 + 0*b + p*b**3 + 2/3*b**4 = 0. What is b?
-1, 0, 1
What is b in 6*b**3 - 13*b**4 - 6*b**3 + 8*b**4 + 5*b**2 = 0?
-1, 0, 1
Let m(x) = -2*x. Let j be m(-1). Let -2*y**2 - j*y**3 + y**3 + y**2 = 0. What is y?
-1, 0
Let d(k) be the second derivative of -k**6/50 - 7*k**5/100 + k**4/10 - 7*k. Factor d(q).
-q**2*(q + 3)*(3*q - 2)/5
Let x(c) be the first derivative of 81*c**5/5 + 81*c**4/4 - 18*c**3 - 42*c**2 - 24*c + 4. Let x(p) = 0. Calculate p.
-2/3, 1
Let u(l) = l**3 - 7*l**2 - 3*l - 2. Let x be u(8). Factor -6*b**2 + 9*b - x*b**3 - 10*b**2 - 14*b**4 + 0*b**3 - b.
-2*b*(b + 1)*(b + 2)*(7*b - 2)
Suppose 1 = 5*c - 9. Solve 2*w - c*w**3 + 2*w + 5*w - w = 0.
-2, 0, 2
Let s(b) be the first derivative of -b**3/3 + 5*b**2/8 - b/4 - 31. Solve s(h) = 0 for h.
1/4, 1
Let r(z) be the second derivative of 7/10*z**5 + 0*z**3 - 1/3*z**7 + 0*z**2 + 0 - 2*z + 1/3*z**4 - 2/15*z**6. Let r(t) = 0. What is t?
-1, -2/7, 0, 1
Let s(a) be the first derivative of -a**4/38 - 2*a**3/57 + 3. What is x in s(x) = 0?
-1, 0
Factor -50*n**2 + 20*n + 9*n**2 - 35*n**3 - 19*n**2.
-5*n*(n + 2)*(7*n - 2)
Let o(q) = q - 48. Let x be o(0). Let g be (-28)/x - (-2)/(-6). Suppose -1/4*a**4 - 1/4*a**3 + g*a**2 + 1/4*a + 0 = 0. Calculate a.
-1, 0, 1
Let g(t) be the first derivative of -8 + 1/10*t**5 - 1/24*t**6 - 1/6*t**3 + 0*t + 1/8*t**2 + 0*t**4. Factor g(p).
-p*(p - 1)**3*(p + 1)/4
Let l(b) = -2*b. Let o be l(-2). Suppose 2*p - 30 = -4*g, o*g - 30 = 2*p - 4. Factor -8*i**2 - 2*i - 2*i**4 - g*i**3 - 2*i**2 - 2*i - i**3.
-2*i*(i + 1)**2*(i + 2)
Let d(c) be the third derivative of -1/48*c**4 - 3*c**2 + 1/1344*c**8 + 1/480*c**6 + 1/80*c**5 + 0*c - 1/280*c**7 + 0 + 0*c**3. Factor d(b).
b*(b - 2)*(b - 1)**2*(b + 1)/4
What is s in -8/3*s**4 + 20/3*s**2 - 8/3*s + 2/3*s**5 - 16/3 + 2/3*s**3 = 0?
-1, 2
Let o = -8 - -14. Determine n so that -o*n + 6*n + n**2 - 2 + n = 0.
-2, 1
Let t(g) be the first derivative of g**6/15 + 8*g**5/25 + g**4/2 + 4*g**3/15 - 11. Factor t(l).
2*l**2*(l + 1)**2*(l + 2)/5
Let d(c) = c**2 - 8*c - 13. Let g be d(9). Let t be (-18)/(-4)*(-2)/g. Factor -t*w**2 - 1/2*w + 0.
-w*(9*w + 2)/4
Let w(n) = n**2 - 5*n + 4. Let f be w(5). Let -s**2 - 4*s**2 + 6*s**2 + 2 + s**2 - f*s = 0. What is s?
1
Factor -16/3*h**2 - 20/3*h**3 - 4/3*h**4 + 0 + 0*h.
-4*h**2*(h + 1)*(h + 4)/3
Let h(n) be the third derivative of -n**9/7560 + n**7/1260 + n**4/24 + 2*n**2. Let d(q) be the second derivative of h(q). Suppose d(y) = 0. What is y?
-1, 0, 1
Let q = -68 + 73. Let 16/3*j**4 + 14/3*j**3 + 4/3*j**2 + 0*j + 0 + 2*j**q = 0. Calculate j.
-1, -2/3, 0
Let h(k) be the third derivative of 0*k**3 + 0*k**5 + 1/12*k**4 + k**2 - 1/60*k**6 + 0 + 0*k. Factor h(p).
-2*p*(p - 1)*(p + 1)
Let r(u) be the second derivative of 3*u**5/100 + u**4/12 + u**3/30 - u**2/10 + 5*u. Solve r(h) = 0.
-1, 1/3
Let x(q) = -q**2 - 7*q - 6. Let l be x(-6). Let b be -1 - (-3 - (-1 + 9/(-12))). Determine p, given that b*p**3 + 0*p**2 + 0*p**4 - 1/4*p**5 + 0 + l*p = 0.
-1, 0, 1
Factor -3*q**3 + 9*q**5 - 3*q**5 - 2*q**4 + 2*q**2 - 3*q**5.
q**2*(q - 1)*(q + 1)*(3*q - 2)
Let w be 25/30*(-27)/(-170). Let x = 2/17 + w. Factor -1/4*g**3 - 1/2*g**2 + 0 - x*g.
-g*(g + 1)**2/4
Let a(r) be the third derivative of 1/24*r**3 - 1/48*r**4 - r**2 + 0*r + 1/240*r**5 + 0. Suppose a(f) = 0. What is f?
1
Let f(t) be the first derivative of -1/5*t**5 + 0*t**2 + 0*t + 1/2*t**4 - 1/3*t**3 - 4. Factor f(s).
-s**2*(s - 1)**2
Suppose 4*l - 4*j + 8 = 0, -5*j = -0*l + 3*l - 10. Solve 1 + s**4 - 3 + l + 3 - s**5 - 2*s**2 + 2*s**3 - s = 0.
-1, 1
Let z(k) be the second derivative of 2*k**7/21 - k**6/30 - k**5/5 + k**4/12 + 2*k. Factor z(c).
c**2*(c - 1)*(c + 1)*(4*c - 1)
Let b = -5 - -7. Let j(u) be the first derivative of 1/6*u**3 + 1/16*u**4 + 0*u + 1/8*u**b + 2. Factor j(m).
m*(m + 1)**2/4
Let h(g) be the second derivative of 49*g**7/3 - 637*g**6/15 + 189*g**5/5 - 46*g**4/3 + 8*g**3/3 - 23*g. Factor h(b).
2*b*(b - 1)*(7*b - 2)**3
Let u(l) be the third derivative of 1/12*l**4 + 0 + 3*l**2 - 1/60*l**5 + 0*l - 1/6*l**3. Let u(h) = 0. Calculate h.
1
Let g = -88 - -91. Suppose -n**g - 3/2*n**4 + 2*n**2 + n - 1/2 = 0. Calculate n.
-1, 1/3, 1
Let c(q) be the first derivative of -q**7/84 - q**6/30 - q**5/40 + q - 3. Let r(t) be the first derivative of c(t). Factor r(y).
-y**3*(y + 1)**2/2
Let a(r) be the third derivative of -2*r**2 + 0*r**4 + 0*r**5 + 0*r + 0 + 0*r**3 - 1/480*r**6 + 1/840*r**7. Find o, given that a(o) = 0.
0, 1
Let c(b) be the third derivative of -b**9/60480 - b**8/20160 + b**7/5040 + b**6/720 + b**5/10 - 3*b**2. Let z(u) be the third derivative of c(u). Factor z(m).
-(m - 1)*(m + 1)**2
Let n(c) be the second derivative of c**6/180 - c**4/12 + 2*c**3/3 + 6*c. Let o(g) be the second derivative of n(g). Suppose o(s) = 0. Calculate s.
-1, 1
Let s be (-6)/4 + 3/(-15)*-10. Factor -1/4*u**3 + 0 + 0*u - s*u**2 + 1/4*u**4.
u**2*(u - 2)*(u + 1)/4
Solve -2/5*d**3 - 2/5 + 2/5*d**2 + 2/5*d = 0.
-1, 1
Let m(v) be the third derivative of -v**5/12 + v**4/2 - 2*v**3/3 + 7*v**2. Let m(k) = 0. Calculate k.
2/5, 2
Let a be 5 - ((-4)/16 + (-9)/(-4)). Solve 0*w + 0*w**a + 0*w**2 + 3/5*w**5 + 0 - 2/5*w**4 = 0 for w.
0, 2/3
Let s be 2/(180/271) + (-18)/6. Let o(z) be the third derivative of 0*z + 1/18*z**4 - z**2 + 0*z**3 + 0 + s*z**5. Determine k, given that o(k) = 0.
-2, 0
Suppose -a - 1 + 4 = 0. Suppose 9 = 2*f + a. Determine d so that -2*d**4 + 0 + 3*d + d**2 + 3 - 2 - 3*d**f = 0.
-1, -1/2, 1
Let l(u) be the first derivative of -u**4/4 + u**3/3 + u**2/2 - u + 9. Find f such that l(f) = 0.
-1, 1
Factor 5*h**3 - h**4 + 3*h**2 - 5*h**3 + 0*h**4 - 2*h.
-h*(h - 1)**2*(h + 2)
Let v(s) be the second derivative of 0 + 2*s - 1/9*s**3 - 2/9*s**2 - 1/54*s**4. Factor v(y).
-2*(y + 1)*(y + 2)/9
Let z be 3*(16/6 + -3). Let p(g) = -g**2 - g. Let n(h) = -8*h**2 - 12*h - 4. Suppose 2*d - 4 = 4*d. Let j(q) = d*p(q) + z*n(q). Factor j(c).
2*(c + 1)*(5*c + 2)
Let b = 11 + -9. Factor u**b + 3*u**2 + 4*u - 2*u.
2*u*(2*u + 1)
Let y(q) be the first derivative of 4/13*q**2 + 8/13*q - 6 + 2/39*q**3. Suppose y(i) = 0. Calculate i.
-2
Let q(b) be the second derivative of -b + 0 - 3/50*b**5 + 1/15*b**3 + 0*b**2 + 1/15*b**4. Find i such that q(i) = 0.
-1/3, 