r - 3)/13
Solve 1/4*q**2 + 5/4*q - 3/2 = 0.
-6, 1
Let t be (-6)/(-4) - 6/(-12). Let z be ((-3)/(-4))/((-18)/(-112)). Factor 0 - t*h**5 + 0*h - 2/3*h**2 - z*h**4 - 10/3*h**3.
-2*h**2*(h + 1)**2*(3*h + 1)/3
Let r(n) = n**2 + n - 1. Let m(i) = -2*i**2 + 2*i + 9. Let f(a) = m(a) + 3*r(a). Factor f(v).
(v + 2)*(v + 3)
Let j(m) be the first derivative of 2*m - 1/9*m**3 - 1/18*m**4 + 0*m**2 - 1. Let i(d) be the first derivative of j(d). Factor i(s).
-2*s*(s + 1)/3
Let v(q) be the third derivative of q**5/140 - q**3/14 - 5*q**2. Solve v(z) = 0 for z.
-1, 1
Let t = 26 + -26. What is c in 4/3*c + 2*c**2 + t - 14/3*c**4 - 2*c**3 - 2*c**5 = 0?
-1, 0, 2/3
Let s(h) be the second derivative of -3*h**5/20 - h**4/2 - h. Find j, given that s(j) = 0.
-2, 0
Let p be (12/(-15))/(-2)*5. Find g, given that -23*g**3 + 24*g**3 - g**p - 4 + 4*g**2 = 0.
-2, 1
Let r(s) = -s - 2. Let z be r(-4). Let u be z/(-12) - 15/(-36). Factor u*n**3 + 0 + 1/4*n + 1/2*n**2.
n*(n + 1)**2/4
Let h(y) be the third derivative of -y**8/1680 - y**7/525 + y**6/600 + y**5/150 + 4*y**2. Suppose h(u) = 0. Calculate u.
-2, -1, 0, 1
Let y be ((-186)/(-1))/3 - -1. Let u be 10/(-35) + 74/y. Solve u + 2/9*c**2 - 8/9*c = 0 for c.
2
Let z(k) be the third derivative of k**8/1176 + k**7/735 - k**6/420 - k**5/210 - 11*k**2. Factor z(h).
2*h**2*(h - 1)*(h + 1)**2/7
Suppose -8*y = -22*y + 28. Let -2/11*t - 2/11*t**y + 4/11 = 0. Calculate t.
-2, 1
Find m, given that 1/6*m**4 + 0*m - 1/6*m**2 + 1/6*m**3 + 0 - 1/6*m**5 = 0.
-1, 0, 1
Let x = 7 - 2. Suppose -m**5 + 2*m**x + m**3 + 0*m**3 - 2*m**4 + 0*m**5 = 0. What is m?
0, 1
Let o = -10 - -14. Let 3 - 2*l**3 - l**o - 7 - l**2 + 4 = 0. Calculate l.
-1, 0
Let k(q) be the third derivative of 0 + 0*q - 1/1440*q**6 - 3*q**2 + 1/240*q**5 - 1/3*q**3 + 0*q**4. Let b(c) be the first derivative of k(c). Factor b(t).
-t*(t - 2)/4
Suppose -30 = -a - 4*a. Let b be 6/33 - a/(-88). Factor -1/4*v**2 - b*v**3 + 0*v + 0.
-v**2*(v + 1)/4
Suppose 4*y - 66 = -2*t, 2*y - 18 = t + 3*t. Factor -5*m**2 - m**2 + 6 + 7*m**2 + y*m + 8*m**2 - 3*m**3 - 3*m**4.
-3*(m - 2)*(m + 1)**3
Let x be (-44)/(-12) - 4/6. Solve 10*u**3 - 9*u**3 - 3*u**x + 4*u**2 = 0.
0, 2
Let d(j) be the first derivative of 3*j**5/5 - 3*j**4/4 - 9*j**3 - 33*j**2/2 - 12*j + 58. Factor d(w).
3*(w - 4)*(w + 1)**3
Let v be -2 - (2 - (3 + 4)). Factor 6*t - 3*t**3 + 4 + 5*t**3 - 3*t**3 - t**v.
-2*(t - 2)*(t + 1)**2
Solve 243/4*y + 33/4*y**4 + 3/4*y**5 + 69/2*y**3 + 135/2*y**2 + 81/4 = 0.
-3, -1
Let g(d) be the second derivative of -3*d**7/98 + 2*d**6/35 + 6*d**5/35 - 3*d**4/14 - 5*d**3/14 + 3*d**2/7 + 6*d. Find r such that g(r) = 0.
-1, 1/3, 1, 2
Let s(z) be the third derivative of 1/1008*z**8 + 0*z**3 - 1/90*z**5 + 0 + 0*z**6 + 1/315*z**7 - 5*z**2 - 1/72*z**4 + 0*z. Suppose s(o) = 0. Calculate o.
-1, 0, 1
Suppose -12 = -0*n - 4*n. Let k(m) be the third derivative of 0 + 0*m**n + 1/630*m**7 + 0*m + m**2 - 1/72*m**4 + 1/360*m**6 - 1/180*m**5. What is j in k(j) = 0?
-1, 0, 1
Suppose 0 = 3*p + 5*y - 11, -4*p + 2 = -3*y + 26. Let s(v) = -v**2 - 5*v - 3. Let c be s(p). Find u, given that -u**c - 2*u + 4*u - u = 0.
-1, 0, 1
Let o(y) = 2*y**2 + y + 1. Let s(q) = -9*q**2 - 13*q - 18. Let u(j) = 4*o(j) + s(j). Factor u(a).
-(a + 2)*(a + 7)
Let b be ((-1)/(-2))/((-4)/(-16)). Suppose n + 2 = 4. Let 6*m**3 - 4*m**3 + 9*m - 3*m - b - 6*m**n = 0. What is m?
1
Find q, given that 5 + 8*q - 16*q**3 - 20*q**5 + 22*q - 45*q**4 + 40*q**2 + 6*q**3 = 0.
-1, -1/4, 1
Factor -1/4*k**2 + 1/4*k**4 - 5/4*k**3 + 0 + 5/4*k.
k*(k - 5)*(k - 1)*(k + 1)/4
Let j(i) be the first derivative of i**6/280 + i**5/280 + 7*i**3/3 + 8. Let h(a) be the third derivative of j(a). Suppose h(u) = 0. Calculate u.
-1/3, 0
Let u(r) = -r**3 - 3*r**2 + 4*r. Let n(z) = z**3 + 3*z**2 - 4*z. Let k(h) = 3*n(h) + 2*u(h). Find f such that k(f) = 0.
-4, 0, 1
Let r be 60/8*(-8)/(-6). Factor -4 - 4*a + 4 + r*a**2 + 2*a**2 + 4*a**4 - 12*a**3.
4*a*(a - 1)**3
Let k(j) be the second derivative of 0*j**2 + 0*j**4 - 1/6*j**3 - 1/540*j**6 + 0*j**5 + 2*j + 0. Let p(g) be the second derivative of k(g). Factor p(v).
-2*v**2/3
Solve -2/3*z**3 + 4/3 + 2/3*z - 2*z**2 + 2/3*z**4 = 0.
-1, 1, 2
Let p(r) be the first derivative of -r**2/2 - 4*r - 2. Let a be p(-4). Factor 0*c + a + 2/3*c**3 - 2/3*c**2.
2*c**2*(c - 1)/3
Solve 2/3*v**4 + 2*v - 2*v**3 + 2/3*v**2 - 4/3 = 0 for v.
-1, 1, 2
Let q = -4 - -2. Let r = 1 - q. Factor 0 - 2*j**r + 2/3*j**2 + 0*j.
-2*j**2*(3*j - 1)/3
Let t be 10 + (-5)/((-15)/(-6)). Factor 8*y + 6*y**2 + 2*y**4 + 2 + 6*y**2 + 3*y**4 - 3*y**4 + t*y**3.
2*(y + 1)**4
Let p(u) be the third derivative of 1/4*u**3 + 0*u + 1/280*u**7 - 7/32*u**4 - 3*u**2 + 9/80*u**5 - 1/32*u**6 + 0. Find t, given that p(t) = 0.
1, 2
Let n(a) be the first derivative of 2*a**3/15 + 13*a**2/15 + 8*a/15 + 57. What is l in n(l) = 0?
-4, -1/3
Let b be 2/7 + (-1765)/6300. Let j(t) be the third derivative of 0 + 0*t - 8/9*t**3 - b*t**6 - 1/15*t**5 - 1/3*t**4 + 2*t**2. Factor j(p).
-2*(p + 2)**3/3
Let h(f) = f**2 + 7*f + 8. Let c be h(-8). Determine v, given that -2*v**3 + 6*v**3 + 4*v**3 - c*v**5 + 4*v + 20*v**4 + 4*v**3 - 20*v**2 = 0.
-1, 0, 1/4, 1
Let y = -1/4 + 11/12. Let l(p) be the second derivative of 1/8*p**4 + 0 + y*p**3 + p**2 - 2*p. Factor l(x).
(x + 2)*(3*x + 2)/2
Let u(o) = o**3 + 8*o**2 - 8*o + 12. Let i = -15 + 6. Let h be u(i). Factor -3*t**5 - 3*t**4 + 5*t**2 - t**2 - 3*t**h - t**2 + 6*t**5.
3*t**2*(t - 1)**2*(t + 1)
Let h(w) be the second derivative of -w**10/120960 + w**8/26880 + 3*w**4/4 + 2*w. Let d(i) be the third derivative of h(i). Factor d(t).
-t**3*(t - 1)*(t + 1)/4
Let g(n) be the first derivative of 2*n**3/3 + n**2 - 5. Determine f so that g(f) = 0.
-1, 0
Let t(h) be the third derivative of -h**5/80 + 3*h**4/32 - h**3/4 - 2*h**2. Factor t(z).
-3*(z - 2)*(z - 1)/4
Let p(u) be the second derivative of 7*u**5/4 - 8*u**4/3 + u**3/10 + 9*u**2/5 + 16*u. Factor p(m).
(5*m - 3)**2*(7*m + 2)/5
Let t(v) be the first derivative of -1 + 0*v**3 + 1/21*v**6 + 0*v + 2/7*v**4 - 8/35*v**5 + 0*v**2. Determine l, given that t(l) = 0.
0, 2
Let j(w) be the first derivative of -w**3/6 + 13. Factor j(p).
-p**2/2
Let c(w) be the third derivative of w**5/240 + 3*w**4/32 - 5*w**3/12 + 13*w**2. Factor c(v).
(v - 1)*(v + 10)/4
Solve 0*t**3 - t**3 + 5*t - 4*t**3 - 5*t**2 + 5 = 0.
-1, 1
Let d(g) = g**2 + g + 2. Let x be d(0). Let w be -9*(x/3 + -1). What is b in 0*b + 4*b + 2*b**2 + 0*b**3 - 2*b**w = 0?
-1, 0, 2
Suppose 2*y - 11 + 5 = 0. Factor 0 - s**3 + 4*s**2 - 2*s - 2*s**5 + s**3 - 2 - 2*s**4 + 4*s**y.
-2*(s - 1)**2*(s + 1)**3
Let j(b) be the first derivative of b**4/8 + b**3/2 + 3*b**2/4 + b/2 + 9. Factor j(m).
(m + 1)**3/2
Factor -8/9 - 2/9*g**2 - 8/9*g.
-2*(g + 2)**2/9
Let s(t) be the second derivative of -1/24*t**4 + 0 + 1/4*t**2 + 0*t**3 - 2*t. Factor s(v).
-(v - 1)*(v + 1)/2
Let r(v) = v**2 + 78. Let d be r(0). Let i = d + -386/5. Factor i + 2*h - 14/5*h**2.
-2*(h - 1)*(7*h + 2)/5
Let z(w) be the second derivative of -w**4/30 + 22*w**3/15 - 121*w**2/5 + 3*w + 1. Let z(m) = 0. What is m?
11
Let g(p) be the third derivative of -1/200*p**6 - 3/100*p**5 + 0*p - 9*p**2 + 0 - 1/20*p**4 + 0*p**3. Let g(j) = 0. Calculate j.
-2, -1, 0
Let u(c) be the third derivative of -c**7/840 + c**6/80 - c**5/20 + 5*c**4/48 - c**3/8 - 6*c**2. Solve u(w) = 0.
1, 3
Let n be 4*4/32*0. Let d(g) be the second derivative of 0*g**3 + 2*g + 0*g**2 - 1/36*g**4 + n. Factor d(c).
-c**2/3
Determine j, given that -5*j - 3*j + 32*j**3 - 256*j**4 + 4*j**2 + 276*j**4 = 0.
-1, 0, 2/5
Let a(b) be the third derivative of 1/36*b**3 - 1/72*b**4 + 0*b**5 + 1/360*b**6 + 0*b - 1/1260*b**7 - 5*b**2 + 0. Factor a(h).
-(h - 1)**3*(h + 1)/6
Let g(z) be the first derivative of -4*z**3/15 + 8*z**2/5 - 12*z/5 + 1. Factor g(u).
-4*(u - 3)*(u - 1)/5
Let w(x) = -20*x**3 + x**2 - x - 1. Let c be w(-1). Let p be (4/42)/(9/c). Factor -2/9*s**2 + 0 - p*s.
-2*s*(s + 1)/9
Factor 3/4*l**5 + 0*l**3 + 3/2*l**2 - 3/4*l + 0 - 3/2*l**4.
3*l*(l - 1)**3*(l + 1)/4
Find k such that 2 + 81/2*k**2 - 18*k = 0.
2/9
Factor -4 + 0 + 16*l - 8 - 4*l**2.
-4*(l - 3)*(l - 1)
Let m = 67 + -63. Let c(p) be the first derivative of 3/4*p**m + p + 1/2*p**2 + 3 - 5/3*p**3. Solve c(x) = 0 for x.
-1/3, 1
Let v(b) = b**2 - 27*b - 120. Let c be v(31). Factor 0 + 8/9*t**2 + 2/9*t**c + 0*t + 8/9*