1/3*m + 1/3 - 1/3*m**2.
-(m - 1)*(m + 1)**2/3
Suppose 3/4*i + 0*i**3 + 0 - 3/2*i**2 - 3/4*i**5 + 3/2*i**4 = 0. Calculate i.
-1, 0, 1
Let r(z) = -20*z - 96. Let p be r(-5). Find a, given that -3/4*a**3 + 0*a**p + 0*a + 1/4*a**5 + 0 + 1/2*a**2 = 0.
-2, 0, 1
Suppose 2*u + 160 = 3*k, -2*u + 90 = k + k. Let n be 195/(-6)*(-8)/k. Suppose -24/5*f - 8/5 - 2/5*f**4 - 12/5*f**3 - n*f**2 = 0. Calculate f.
-2, -1
Let p(z) be the first derivative of 1/3*z**3 + 1/30*z**5 - 1/6*z**4 - 1/3*z**2 - z + 2. Let m(t) be the first derivative of p(t). Factor m(d).
2*(d - 1)**3/3
Let q = 20 + -20. Let h(c) be the third derivative of -1/40*c**5 + 0*c + c**2 - 1/48*c**4 + q + 0*c**3. Factor h(r).
-r*(3*r + 1)/2
Factor -30*g**3 + 3*g**4 + 30*g - 27 + 72*g**2 + 21 - 69.
3*(g - 5)**2*(g - 1)*(g + 1)
Let q(h) be the third derivative of -h**6/540 - h**5/270 - 2*h**2. Solve q(l) = 0 for l.
-1, 0
Let x(q) be the third derivative of q**9/3024 + q**8/840 + q**7/840 + q**3/3 - 3*q**2. Let s(r) be the first derivative of x(r). Let s(v) = 0. Calculate v.
-1, 0
Let h be 9/(324/30)*(-6)/(-20). Factor 4*l**4 + 33/4*l**2 - 10*l**3 - 5/2*l + h.
(l - 1)**2*(4*l - 1)**2/4
Factor -4*i**2 + 4*i**2 - 5*i**3 - 4*i**2 - 10*i**4 + 27*i**3.
-2*i**2*(i - 2)*(5*i - 1)
Let b = 4 + 1. Find h, given that 3*h**3 + h**2 - h**4 - 2*h**3 + 0*h**b - h**5 = 0.
-1, 0, 1
Let c(w) = 7*w**3 + 3*w**2 + 12*w + 5. Let s(y) = 30*y**3 + 11*y**2 + 48*y + 19. Let x(t) = 26*c(t) - 6*s(t). Factor x(k).
2*(k + 2)**3
Let l(b) = b**2 - 3*b + 2. Let k be l(3). Find v, given that -6*v + 2*v**2 + 5*v - v**k = 0.
0, 1
Let w(d) be the second derivative of d**6/195 + 2*d**5/65 - 16*d**3/39 - 16*d**2/13 + 8*d. Factor w(t).
2*(t - 2)*(t + 2)**3/13
Let a(d) = -39*d + 4. Let z be a(2). Let s be 4/(-14) + z/(-63). Determine m so that -s*m**3 + 0 + 0*m + 2/9*m**2 = 0.
0, 1/4
Let t(l) be the second derivative of l**6/90 + l**5/12 - 7*l**4/12 + 23*l**3/18 - 4*l**2/3 - l - 7. Factor t(i).
(i - 1)**3*(i + 8)/3
Solve -7 - 2*c + 4*c**2 + 7 - 2*c**2 = 0 for c.
0, 1
Let g(d) be the first derivative of d**3/18 + 5*d**2/12 + d - 16. Find f, given that g(f) = 0.
-3, -2
Let f(c) be the first derivative of c**5/30 - c**4/3 + c**3 + 5*c + 6. Let o(u) be the first derivative of f(u). What is s in o(s) = 0?
0, 3
Let b - 1/2*b**3 + 3/4 - 5/4*b**2 = 0. What is b?
-3, -1/2, 1
Let o(m) be the second derivative of m**9/7560 - m**8/1680 - m**7/1260 + m**6/180 - m**4/2 + 5*m. Let u(w) be the third derivative of o(w). Factor u(s).
2*s*(s - 2)*(s - 1)*(s + 1)
Let s(p) be the third derivative of -p**8/840 + 2*p**7/525 + p**6/300 - p**5/75 + 20*p**2. Solve s(r) = 0 for r.
-1, 0, 1, 2
Let a(t) = -2*t**4 + 3*t**3 - t**2 - 13*t + 13. Let q(m) = m**3 - m**2 + m - 1. Let w(p) = a(p) + 5*q(p). Let w(j) = 0. What is j?
-1, 1, 2
Let m(n) be the third derivative of n**9/1512 + n**8/420 - n**6/90 - n**5/60 + n**3 + n**2. Let w(c) be the first derivative of m(c). What is h in w(h) = 0?
-1, 0, 1
Let b(k) = -2*k**5 + 6*k**4 - 5*k**3 - 6*k**2 + k. Suppose n + 3 = -0*n. Let u(f) = f**3 + f. Let s(d) = n*u(d) - b(d). Suppose s(t) = 0. Calculate t.
-1, 0, 1, 2
Let t(x) be the second derivative of x**5/20 - x**4/12 + x. Let t(g) = 0. Calculate g.
0, 1
Let s(q) be the first derivative of 21*q**5/5 + 13*q**4/4 - 4*q**3 - 2*q**2 - 52. Solve s(p) = 0 for p.
-1, -2/7, 0, 2/3
Let z(f) be the first derivative of 2/21*f**3 + 2 + 2/7*f - 2/7*f**2. Factor z(g).
2*(g - 1)**2/7
Suppose -4 = 2*v + 2*c, 0*c + 24 = 4*v - 4*c. Suppose 7*m - v*m + 22 = 4*q, -4*m = -5*q + 23. What is i in -q + 5 - 2*i**2 + 0*i**2 = 0?
-1, 1
Let o be (13 - 3)/((-2)/(-1)). Factor -12*k**3 - 6*k**2 + 6*k + 3*k + 3*k**o + 6 + 0*k.
3*(k - 2)*(k - 1)*(k + 1)**3
Let c = -21 + 49. Suppose -l + q - 2 = -3, -4*l - 4*q = -c. Solve 2*n + 8*n**3 - 2*n**3 - l*n**4 + 2*n**4 - 6*n**2 = 0.
0, 1
Suppose -252*u - 190*u**2 - 24 - 404*u**2 + 325*u**3 + 38*u**3 = 0. Calculate u.
-2/11, 2
Let q(w) be the third derivative of 1/60*w**5 - 1/60*w**6 + w**2 + 0*w**3 + 0 + 0*w - 1/210*w**7 + 1/12*w**4. Factor q(x).
-x*(x - 1)*(x + 1)*(x + 2)
Let i(s) be the first derivative of 4*s**3/3 + 40*s**2 + 76*s + 64. Solve i(v) = 0 for v.
-19, -1
Let l(m) be the third derivative of 0*m - 1/21*m**3 - 6*m**2 - 1/42*m**4 - 1/210*m**5 + 0. Factor l(h).
-2*(h + 1)**2/7
Let s(y) = -19*y**5 + y**4 + 19*y**3 - y**2 + 4*y. Let o(j) = 39*j**5 - j**4 - 39*j**3 + j**2 - 9*j. Let g(i) = -4*o(i) - 9*s(i). Let g(h) = 0. What is h?
-1, 0, 1/3, 1
Let c(q) be the first derivative of -q**5/60 - q**4/6 - 2*q**3/3 + 3*q**2/2 + 2. Let h(p) be the second derivative of c(p). Solve h(l) = 0.
-2
Let b(n) = -3*n + 29. Let k be b(9). Let s(a) be the third derivative of 0 - 1/210*a**5 - a**k + 2/21*a**3 + 0*a + 1/84*a**4. Solve s(q) = 0.
-1, 2
Let m(b) = -b**2 - 3*b + 2. Let f be m(0). Let r be (-2 + (-7)/(-3))*21. Factor 0*d**4 - r*d**3 + 4*d**3 + 3*d**2 - d**4 - f*d**4 + 3*d.
-3*d*(d - 1)*(d + 1)**2
Let b(z) be the first derivative of 2*z**5/5 - 3*z**4 + 2*z**3/3 + 24*z**2 + 32*z + 45. Factor b(n).
2*(n - 4)**2*(n + 1)**2
Suppose 0*b - 2*b + 36 = 0. Let r be 2/3*b/8. Solve 1/2*l + 3/2*l**2 + r*l**3 + 1/2*l**4 + 0 = 0 for l.
-1, 0
Suppose -29 = -6*k - 17. Let o = -45 - -227/5. What is p in -o + 2/5*p**k + 0*p = 0?
-1, 1
Factor 6/7*w**2 + 0*w + 0 + 2/7*w**4 + 8/7*w**3.
2*w**2*(w + 1)*(w + 3)/7
Factor 4*r**2 - 32*r + 3*r**2 + 64 - 3*r**2.
4*(r - 4)**2
Let l be 0/(-5 - -1) - 0. Let c(m) be the third derivative of 0*m**5 + l*m**3 + 0*m**4 - m**2 - 4/105*m**7 + 0 - 1/168*m**8 - 1/15*m**6 + 0*m. Factor c(g).
-2*g**3*(g + 2)**2
Let b(m) = m**3 - 19*m**2 + 33*m + 17. Let r be b(17). Find p such that -2/11*p**2 + r*p + 2/11 = 0.
-1, 1
Let p(u) be the first derivative of 12*u**5/5 - 22*u**4 + 628*u**3/9 - 88*u**2 + 48*u + 6. Suppose p(w) = 0. Calculate w.
2/3, 3
Let z(g) = -2*g**2 + 5. Let w(q) = -2*q**2 + 6. Let c(u) = -6*w(u) + 4*z(u). Factor c(h).
4*(h - 2)*(h + 2)
Let b(m) be the third derivative of -m**6/540 + m**5/270 - 16*m**2. Factor b(d).
-2*d**2*(d - 1)/9
Let u be (-406)/(-116) - 3/2. Factor -2/9*j**u + 0 + 0*j + 2/9*j**5 + 2/9*j**4 - 2/9*j**3.
2*j**2*(j - 1)*(j + 1)**2/9
Let s(z) be the third derivative of 0 - 1/840*z**8 - 1/60*z**4 + 1/150*z**6 + 0*z + 1/525*z**7 - 1/75*z**5 + z**2 + 1/15*z**3. Find w such that s(w) = 0.
-1, 1
Let s(n) be the second derivative of 0*n**2 + 0*n**3 - 1/20*n**5 + 0 + 2*n - 1/6*n**4. Factor s(a).
-a**2*(a + 2)
Let y(n) = 0 - 2 - 1 - n**2 + 2. Let r(w) = -2*w**3 - 10*w**2 + 4*w - 12. Let s(l) = r(l) - 12*y(l). Find i such that s(i) = 0.
-1, 0, 2
Let g(m) be the second derivative of 2*m**6/15 + m**5/5 - 2*m**4/3 - 11*m. Factor g(d).
4*d**2*(d - 1)*(d + 2)
Let o(h) be the second derivative of 0*h**5 + 0*h**4 + 0*h**2 + 0 + 7*h + 0*h**3 + 0*h**6 + 1/126*h**7. Factor o(t).
t**5/3
Let t(w) be the third derivative of -w**7/1575 - w**6/300 - w**5/150 - w**4/180 - 13*w**2. Factor t(m).
-2*m*(m + 1)**3/15
Suppose 5*p + 0 - 10 = 0. Let x be (6 - p)*(-5)/(-10). Factor -1/6*q**x + 0*q + 1/6.
-(q - 1)*(q + 1)/6
Let c(p) be the second derivative of -2*p**6/15 + p**4/3 + 4*p. Find a, given that c(a) = 0.
-1, 0, 1
Factor -6 + 2*u + 3*u**2 + 4*u - 9*u.
3*(u - 2)*(u + 1)
Let v(a) = -12*a - 105. Let q be v(-9). Suppose 0 - 3/2*b**q + 0*b + 3/2*b**2 = 0. Calculate b.
0, 1
Suppose -16 = n + z + 5, -2*z = -2. Let y be 12/(-66) + (-4)/n. Solve y*b**3 + 0*b + 0 + 1/4*b**4 + 0*b**2 = 0.
0
Let x(g) be the third derivative of -g**5/90 + g**4/18 - 5*g**2. Suppose x(m) = 0. Calculate m.
0, 2
Let w = 551 - 2753/5. What is r in -w*r**3 + 0*r**2 + 0*r + 4/5*r**4 - 2/5*r**5 + 0 = 0?
0, 1
Let s(a) be the second derivative of a**5/25 - 4*a**4/15 + 2*a**3/5 + 38*a. Solve s(x) = 0.
0, 1, 3
Let j(g) be the third derivative of g**5/90 + 23*g**4/72 + 11*g**3/18 - 42*g**2. Factor j(m).
(m + 11)*(2*m + 1)/3
Let r(u) be the first derivative of 18*u**5/35 + u**4/7 - 6*u**3/7 - 2*u**2/7 + 15. Let r(p) = 0. What is p?
-1, -2/9, 0, 1
Let p(z) = z - 3. Let a be p(6). Solve -3*j**3 + 0*j**2 - 2*j**2 + 2*j**a = 0 for j.
-2, 0
Let j(d) be the second derivative of d**4/4 + d**3/6 - d**2 + 15*d. Factor j(c).
(c + 1)*(3*c - 2)
Let x = 41 + -41. Factor 2/9*t**4 - 4/9*t**3 + x + 0*t + 2/9*t**2.
2*t**2*(t - 1)**2/9
Let w be -2 - (10/(-45) + (-73)/36). Solve -w*h + 1/4 + 1/4*h**4 - 1/2*h**2 - 1/4*h