 r(h) be the first derivative of -h**6/2 - 9*h**5/5 - 3*h**4/2 - 7. Let r(s) = 0. Calculate s.
-2, -1, 0
Suppose -3*b = i - 9, -5*i - 3*b + 3 + 30 = 0. Let w be i/9*(-6)/(-4). Let -9*k**2 - 1 - w + 11*k**2 = 0. Calculate k.
-1, 1
Factor 6*n**4 - 6*n**3 + 58*n**2 - 4*n**4 - 66*n**2.
2*n**2*(n - 4)*(n + 1)
Suppose -12 = -5*h + h. Suppose 4*g + h - 19 = 0. Determine t so that 1/3*t - 1/3*t**g + 1/3*t**2 - 1/3*t**3 + 0 = 0.
-1, 0, 1
Let f be ((-55)/195)/((-2)/(-12)). Let o = -14/39 - f. Factor 1/3*p**5 - 4/3*p**2 - o*p**4 + 2*p**3 + 1/3*p + 0.
p*(p - 1)**4/3
Let p(f) be the third derivative of f**6/300 - f**5/25 + f**4/5 - 8*f**3/15 + 8*f**2. Factor p(t).
2*(t - 2)**3/5
Let q(h) = 3*h**4 + 3*h - 3. Let j(r) = 0 - r**4 + r**2 - 7 + 7*r**4 + 6*r + r**3. Let z(m) = 3*j(m) - 7*q(m). Solve z(x) = 0.
-1, 0, 1
Let t(k) be the third derivative of 1/36*k**4 - 1/60*k**5 + 0*k - k**2 + 0*k**3 + 0 + 1/360*k**6. Solve t(v) = 0.
0, 1, 2
Let g(j) = -j**4 + 4*j**3 + 4*j**2 - j - 3. Let q(a) = -a**4 + 8*a**3 + 8*a**2 - a - 7. Let v(n) = -7*g(n) + 3*q(n). Let v(h) = 0. What is h?
-1, 0, 1
Factor 0 - 3/4*m**4 - 39/4*m**2 - 9/2*m - 5*m**3.
-m*(m + 3)**2*(3*m + 2)/4
Let l(t) = 5*t**3 - 5*t + 5*t**2 - 5 - 1 - t. Let m be (-1 + -1)/(26/221). Let s(f) = 14*f**3 + 14*f**2 - 17*f - 17. Let i(w) = m*l(w) + 6*s(w). Factor i(j).
-j**2*(j + 1)
Let m(t) be the first derivative of -6*t**2 - 1/4*t**4 + 5 + 2*t**3 + 8*t. Factor m(v).
-(v - 2)**3
Let s(c) be the first derivative of -21/2*c**4 + 10*c**3 + 49/20*c**5 - 4*c**2 - 1 - c. Let d(f) be the first derivative of s(f). Factor d(t).
(t - 2)*(7*t - 2)**2
Let o(j) = j - 1. Let h be o(4). Let -n + 7*n**3 - 14*n**2 + 3*n**h + 0*n + 5*n = 0. Calculate n.
0, 2/5, 1
Factor 3/4*d**3 - 3/4*d**2 + 0 - 3/4*d + 3/4*d**4.
3*d*(d - 1)*(d + 1)**2/4
Let w(r) = 30*r**3 - 12*r**2. Let j(h) = -20*h**3 + 8*h**2. Let v be 0 - 6/(-3) - 2. Suppose 5 = -b - v*b. Let q(l) = b*w(l) - 8*j(l). Let q(c) = 0. What is c?
0, 2/5
Let q(x) = x - 3. Let k be q(7). Suppose 2*j + 0 = -5*h + 14, -2*h + 4*j - k = 0. Factor 2*l - 4*l**2 - 3 + 3 + h*l**3.
2*l*(l - 1)**2
Let h be 4 + (1 - -2) + -4. Let w = h + -1. Factor 0 + 0*p**w + 1/3*p**4 + 0*p + 0*p**3.
p**4/3
Let z(x) be the second derivative of 1/4*x**4 + 27/2*x**2 + 3*x**3 + 0 - 7*x. What is j in z(j) = 0?
-3
Suppose -6*r = -5*r - 2. Factor -2*h**4 - 11*h + 11*h + r*h**5 + 2*h**2 - 2*h**3.
2*h**2*(h - 1)**2*(h + 1)
Let a = -1 - -3. Factor 2*d**3 + 3*d**a + d - 3 + 3.
d*(d + 1)*(2*d + 1)
Let x be ((-4)/10)/((-2)/10). Let l(k) = 9*k - 1 - 9*k + k**x. Let b(g) = -3*g**2 - 8*g + 13. Let y(t) = b(t) + 5*l(t). Solve y(w) = 0 for w.
2
Let t(w) be the second derivative of -2*w - 1/42*w**4 + 0 + 0*w**2 - 2/21*w**3. Factor t(y).
-2*y*(y + 2)/7
Let r = 395/274 - -8/137. Let r - 21/4*u - 3*u**2 - 21/4*u**5 + 21/2*u**3 + 3/2*u**4 = 0. Calculate u.
-1, 2/7, 1
Find d such that -1 + d - 1/4*d**2 = 0.
2
Let l = 12293 - 61273/5. Solve 2352/5*j**3 + 504/5*j**2 + 1029/5*j**4 - 48/5 - l*j = 0.
-2, -2/7, 2/7
Let i be (2/(-3))/(44/(-8) + 5). Factor 2/3 + 4/3*x**2 - i*x**3 - 2*x**4 + 2*x - 2/3*x**5.
-2*(x - 1)*(x + 1)**4/3
Let t(v) be the first derivative of -v**5/40 + v**4/48 - 2*v**2 - 4. Let d(h) be the second derivative of t(h). Let d(m) = 0. What is m?
0, 1/3
Factor -1 + 3/2*s - 1/2*s**2.
-(s - 2)*(s - 1)/2
Let b(h) be the third derivative of -1/70*h**5 + 0*h + 0*h**6 + 0*h**3 - 1/42*h**4 + 1/735*h**7 - h**2 + 0. Let b(k) = 0. What is k?
-1, 0, 2
Factor 3*o**2 + 1 - 1 - 7 - 5.
3*(o - 2)*(o + 2)
Let u be 0/(3 - (3 + -1)). Determine w, given that -1/4*w**4 + 0*w + 1/4*w**3 - 1/4*w**5 + u + 1/4*w**2 = 0.
-1, 0, 1
Let j(r) be the third derivative of 0*r + 1/270*r**5 + 0 - 2*r**2 - 1/27*r**4 + 4/27*r**3. Determine b, given that j(b) = 0.
2
Let l = -20 - -23. Suppose d - 7*d**2 + 1 + 4*d**l - 3*d - 1 = 0. What is d?
-1/4, 0, 2
Let p be ((-2)/(-20))/((-12)/(-144)). Let u = 2011/5 - 401. Factor 2/5 - u*t - 2/5*t**3 + p*t**2.
-2*(t - 1)**3/5
Let b(s) = s**3 + 1. Let f be b(-1). Factor f - 1/4*z**2 + 1/4*z.
-z*(z - 1)/4
Let o(u) be the first derivative of 0*u**3 + 1/5*u**5 - 1/4*u**4 + 0*u**2 + 1 + 0*u. Factor o(k).
k**3*(k - 1)
What is f in 1/5 - 1/5*f**2 + 0*f = 0?
-1, 1
Factor 4/9 + 2/9*i - 2/9*i**2.
-2*(i - 2)*(i + 1)/9
Let s(p) = p**3 + 9*p**2 - 11*p - 10. Let l be s(-10). Let m be 1/((-2)/12*-2). Solve -y + y**2 + l*y**2 + m*y**3 - 2*y**3 - 1 = 0 for y.
-1, 1
Factor 5/6*a + 2/3*a**2 + 1/6*a**3 + 1/3.
(a + 1)**2*(a + 2)/6
Let b = 5/18 + 11/9. Determine s so that b*s**3 + 0*s**2 + 3/4 - 3/2*s - 3/4*s**4 = 0.
-1, 1
Let r(z) be the first derivative of 3*z**4/28 - 3*z**3/7 + 9*z**2/14 - 3*z/7 - 6. Let r(a) = 0. Calculate a.
1
Let i = 540 + -540. Factor -4/9*o - 2/9*o**5 + i + 14/9*o**2 - 2*o**3 + 10/9*o**4.
-2*o*(o - 2)*(o - 1)**3/9
Let w(a) = -a**3 - 6*a**2 - a**2 - 2 + 3*a**2 - 5*a. Let n be w(-3). Factor 125/3*t**n + 112/3*t + 100/3*t**3 - 16/3 - 80*t**2.
(t + 2)*(5*t - 2)**3/3
Let a(d) be the second derivative of -1/3*d**3 + 2/3*d**2 + 0 - 5*d + 1/18*d**4. Factor a(o).
2*(o - 2)*(o - 1)/3
Suppose 11*i**2 + 2 + 12*i - 3*i**3 + 2 - 4*i**3 + 10*i**3 = 0. What is i?
-2, -1, -2/3
Factor 5/2*u - 1/4*u**2 - 25/4.
-(u - 5)**2/4
Let r(g) be the second derivative of g**5/60 - g**4/9 - g**3/18 + 2*g**2/3 - 32*g - 2. Determine q, given that r(q) = 0.
-1, 1, 4
Let m(t) be the third derivative of 0*t**3 + 0 + 1/24*t**4 + 7/60*t**5 + 49/480*t**6 + 0*t - 2*t**2. Factor m(w).
w*(7*w + 2)**2/4
Let c be 16/(-60)*6/(-1 + -1). Let -2/5 + 8/5*o**3 + c*o**4 - 3/5*o**5 + 11/5*o - 18/5*o**2 = 0. What is o?
-2, 1/3, 1
Let r = 15 + -9. Let 4*l + 12*l**2 + 4 - r - 6 = 0. What is l?
-1, 2/3
Let 0*j + 0 + 6/5*j**3 - 4/5*j**4 + 0*j**2 - 2/5*j**5 = 0. Calculate j.
-3, 0, 1
Let p(b) = -b**3 + 4*b**2 + 2. Let j = 3 - -1. Let m be p(j). Suppose -d**4 + 5*d**3 + 6*d**m + 4 + 9*d**3 - 11*d**4 - 14*d + 2*d**4 = 0. What is d?
-1, 2/5, 1
Let l be ((-6)/51 - (-2)/(-272))*-54. Determine g, given that -l*g**3 + 9/2*g**2 + 15*g + 6 = 0.
-2/3, 2
Let c(w) be the second derivative of 3*w**7/56 - 11*w**6/40 + 9*w**5/16 - 9*w**4/16 + w**3/4 + 5*w. Factor c(o).
3*o*(o - 1)**3*(3*o - 2)/4
Let h = -8/35 + 48/35. Find r, given that -8/7*r**3 + 4/7 + 16/7*r - h*r**5 + 16/7*r**2 - 20/7*r**4 = 0.
-1, -1/2, 1
Suppose 11*s**2 - 11*s + 11*s**3 + s**2 + 3*s - 15*s**3 = 0. Calculate s.
0, 1, 2
Factor 48*i + 6 + 125 + 41 + 4*i**2 - 28.
4*(i + 6)**2
Factor 4*u**2 + 1/2 + 3/2*u**4 - 1/4*u**5 - 9/4*u - 7/2*u**3.
-(u - 2)*(u - 1)**4/4
Let z(u) be the third derivative of u**6/660 + u**5/55 + 5*u**4/132 - 14*u**2. Factor z(f).
2*f*(f + 1)*(f + 5)/11
Let l be (-3 - (-39)/14)/(36/(-14)). Let v(a) be the second derivative of 0 + 1/48*a**4 + l*a**3 - 3*a + 0*a**2. What is n in v(n) = 0?
-2, 0
Suppose 0 = -4*i - 23 + 95. Let s be i/3*8/12. Solve s*h**3 - 3*h + 0 + 2 - h**4 - h**3 - h**2 = 0 for h.
-1, 1, 2
Let u be (-3)/3 + -2 + 4. Let x = 1 + u. Factor 0 + 0*h**x - 1/3*h**3 + 1/3*h.
-h*(h - 1)*(h + 1)/3
Let z(l) be the second derivative of -5*l**7/14 - l**6/6 + 11*l**5/4 + 15*l**4/4 - 10*l**3/3 - 10*l**2 - 13*l. Suppose z(h) = 0. Calculate h.
-1, 2/3, 2
Let f(l) = -2 + 0*l - l + 3*l. Let z be f(2). Let c(q) = -q**3 + q + 1. Let x(y) = -y**3 + 3*y**2 + y - 5. Let b(s) = z*c(s) + x(s). Factor b(h).
-3*(h - 1)**2*(h + 1)
Suppose 0*z = -z + 2. Let d be 13/5 + z/5. Factor -4*v + 0*v + v**d + 3*v.
v*(v - 1)*(v + 1)
Let i(h) = -h**3 - 20*h**2 + h + 23. Let m be i(-20). Let x be ((-28)/(-6))/((-1)/(-1)). Determine q, given that -10/3*q**2 - 2*q**4 + 0 + 2/3*q + x*q**m = 0.
0, 1/3, 1
Let h(j) be the first derivative of -j**6/240 + j**5/40 - j**4/16 + j**3/12 + j**2/2 + 4. Let l(y) be the second derivative of h(y). Factor l(z).
-(z - 1)**3/2
Let i be 3/(-2)*34/3. Let y = -47/3 - i. What is h in 49/3*h**4 - 28/3*h**3 + y*h**2 + 0*h + 0 = 0?
0, 2/7
Suppose -6*c = -3*c - 15. Find l such that -l + c*l + 12*l**2 - 14*l**2 = 0.
0, 2
Suppose -61 + 169 = -6*z. Let i be (-4)/z - (-64)/36. Factor -8/5 - 2/5*w**i - 8/5*w.
-2*(w + 2)**2/5
Let i(k) = 3*k**2 + 5*k - 4. Let m(y) = 0*y + 3*y**2 + 7 - 8*y**2 - 9*y. Let s(x) = -7*i(x) - 4*m(x). Find j such that s(j) = 0.
0, 1
Let s(g) be the third derivative of -g**5/30 + 7*g**4/6 - 28*g**2. Factor s(k).
-2*k*(k - 14)
Let f(y) = -3*y**4 - 2*y**3 - 1. Let b(n) = 16*n**4 + 11*n**