3 + n**2 + 5. Suppose -1 - 1 = g. Let r(q) = g*b(q) - 11*f(q). Find m, given that r(m) = 0.
-1, 1
Let h(g) be the first derivative of g**6/15 - 8*g**5/25 + 3*g**4/5 - 8*g**3/15 + g**2/5 - 3. Determine a, given that h(a) = 0.
0, 1
Let k = 15 - 3. Find t such that -3*t**5 + 12 - 18*t**3 - k*t**4 - 12 - 3*t - 12*t**2 = 0.
-1, 0
Determine j, given that 0*j**2 - 2/3*j**3 + 0*j + 8/3*j**4 + 0 - 2*j**5 = 0.
0, 1/3, 1
Let v(h) be the second derivative of h**10/120960 - h**8/8960 - h**7/5040 - h**4/2 + h. Let l(b) be the third derivative of v(b). Factor l(z).
z**2*(z - 2)*(z + 1)**2/4
Let l be 2/(1/(5/(-2))). Let d(m) = -5*m**3 - 18*m**2 - 27*m + 2. Let g(x) = -11*x**3 - 36*x**2 - 54*x + 5. Let k(u) = l*d(u) + 2*g(u). Factor k(c).
3*c*(c + 3)**2
Let v(u) = 2*u**5 + 9*u**4 + 7*u**3 + 5. Let y(s) = -s**4 - s**3 - 1. Let l(f) = -v(f) - 5*y(f). Factor l(g).
-2*g**3*(g + 1)**2
Suppose 2 = -2*o + 10. Suppose 0*i = -s - 2*i, -5*i = o*s - 3. Let 7*j**3 - j**2 - s*j + 2*j**2 - j**4 + 3*j - 8*j**3 = 0. What is j?
-1, 0, 1
Let y(l) be the second derivative of 1/6*l**4 + l + l**2 - 2/3*l**3 + 0. Factor y(o).
2*(o - 1)**2
Determine o so that 1/3*o**3 + 1/3*o + 0 + 2/3*o**2 = 0.
-1, 0
Let w be 8/5 - (-7)/(35/2). Factor -o - 1/3*o**w - 2/3.
-(o + 1)*(o + 2)/3
Suppose -33/8*j**2 + 0 + 9/8*j**4 - 15/8*j**3 - 9/8*j = 0. What is j?
-1, -1/3, 0, 3
Let w(m) be the second derivative of 5/12*m**3 + 0 + 3/40*m**5 + 1/4*m**4 + 3/8*m**2 + 1/120*m**6 - 5*m. Suppose w(u) = 0. What is u?
-3, -1
Find x such that 10/9*x**4 + 2/9*x + 0 - 2/3*x**3 - 4/9*x**5 - 2/9*x**2 = 0.
-1/2, 0, 1
Let m(b) = -3*b**2 - 34*b - 359. Let n(g) = 4*g**2 + 32*g + 358. Let r(f) = 3*m(f) + 2*n(f). Let r(q) = 0. Calculate q.
-19
Let r(q) be the first derivative of 1 + 1/15*q**5 - 1/12*q**4 + 0*q + 0*q**3 - 1/60*q**6 - q**2. Let a(d) be the second derivative of r(d). Factor a(s).
-2*s*(s - 1)**2
Let c(m) = m**2 + 2*m + 2. Let b be c(-2). Suppose z**2 - 2*z + 0*z - 4 - 2*z**b + 6*z = 0. Calculate z.
2
Let d(w) be the third derivative of 1/60*w**6 + 0 - 1/12*w**4 + 0*w + 3*w**2 + 1/6*w**3 - 1/210*w**7 + 0*w**5. Factor d(y).
-(y - 1)**3*(y + 1)
Let p = 28/3 + -11/6. Let -57*m**3 - 33*m**4 - 3 - 48*m**2 - 39/2*m - p*m**5 = 0. Calculate m.
-1, -2/5
Solve -4/3*j**3 - 2/3*j**2 + 1/3*j + 0 + 2/3*j**4 + j**5 = 0.
-1, 0, 1/3, 1
Let m = -409090/372657 - 2/7307. Let d = 4/17 - m. Let 2/3 - 7/3*b + d*b**3 - 5/3*b**2 = 0. Calculate b.
-1, 1/4, 2
Factor 0 + 5*y**2 + 79*y - 59*y + 0.
5*y*(y + 4)
Let q(w) be the first derivative of 1/10*w**4 + 6/25*w**5 + 0*w - 5 + 0*w**2 - 4/15*w**3. Factor q(r).
2*r**2*(r + 1)*(3*r - 2)/5
Let r(k) = -4*k. Let c(q) = -q**3 - 3*q**2 + 5*q + 3. Let p be c(-4). Let j be r(p). Find i, given that -1/3*i + 5*i**2 + 0 - 25*i**3 + 125/3*i**j = 0.
0, 1/5
Let m = -5/17 - -137/408. Let t(o) be the second derivative of -o + 1/4*o**3 - 1/2*o**2 + 0 - m*o**4. Let t(x) = 0. Calculate x.
1, 2
Let z = 13 - 10. Suppose 0 = z*k - 2*k. What is m in 0 + 1/4*m**4 + k*m + 0*m**2 - 1/4*m**3 = 0?
0, 1
Let h(g) = 2*g**4 - 13*g**3 + 7*g**2 + 13*g. Let m(z) = z**4 - 6*z**3 + 3*z**2 + 6*z. Let p(w) = 4*h(w) - 9*m(w). Factor p(s).
-s*(s - 2)*(s - 1)*(s + 1)
Let q = -645 - -16128/25. Let i(p) be the first derivative of -q*p**5 + 1/4*p**4 + 0*p + 1 - 2/15*p**3 + 0*p**2. Let i(n) = 0. Calculate n.
0, 2/3, 1
Let 22/5*o**3 + 0 + 0*o + 26/5*o**4 - 4/5*o**2 = 0. What is o?
-1, 0, 2/13
Let z(b) be the first derivative of b**6/7 + 2*b**5/35 - 11*b**4/14 - 6*b**3/7 + 4*b**2/7 + 8*b/7 - 6. Find k such that z(k) = 0.
-1, 2/3, 2
Suppose p - 6 = -4*u, -9 = -5*p + p - u. Factor -8/3*a**p + 2*a**3 - 2/3*a + 4/3.
2*(a - 1)**2*(3*a + 2)/3
Suppose 5*u - 4*u = 4. Suppose -10 = 5*g, u*g - 5 = -4*s - 1. Suppose s*r**4 - 4*r + 4*r - 4*r**2 - r - 5*r**4 - 5*r**3 = 0. What is r?
-1, -1/2, 0
Factor -1/5*m**3 + 7/5*m**2 + 9/5 - 3*m.
-(m - 3)**2*(m - 1)/5
Let d(a) be the second derivative of 3*a**7/14 - 2*a**6/5 - 3*a**5/10 + a**4 - a**3/2 + 9*a. Let d(o) = 0. Calculate o.
-1, 0, 1/3, 1
Let z be ((-6)/(-28))/(4/24) - 1. Suppose -4/7*u**2 - 8/7*u + 16/7*u**3 + 2/7*u**4 - 8/7*u**5 + z = 0. Calculate u.
-1, 1/4, 1
Let j(y) be the second derivative of -y**5/16 + 5*y**3/6 + 10*y. Factor j(r).
-5*r*(r - 2)*(r + 2)/4
Factor -d**3 - 26*d**2 - 4*d**5 + 2*d**3 + 26*d**2 - 3*d**4.
-d**3*(d + 1)*(4*d - 1)
Let z(g) be the first derivative of 2*g**5/25 - g**4/2 + 16*g**3/15 - 4*g**2/5 + 25. Find v, given that z(v) = 0.
0, 1, 2
Factor -1/3*p**2 + 2*p**3 - 16/3 - 1/3*p**4 - 8*p.
-(p - 4)**2*(p + 1)**2/3
Suppose -5*x = 5*u, 0 = x + 2*u - 0 + 2. Let k = x - -2. Suppose 4*t**2 - k*t**4 + 5*t**3 + 0*t**2 + t**3 - 6*t**5 = 0. What is t?
-1, -2/3, 0, 1
Let a(m) be the first derivative of m**6/6 + 4*m**5/5 + 3*m**4/2 + 4*m**3/3 + m**2/2 + 5. Let a(s) = 0. Calculate s.
-1, 0
Let q(a) = -6*a**3 + 19*a**2 - 20*a. Let d(r) = -4*r**3 + 13*r**2 - 14*r. Let k(c) = -7*d(c) + 5*q(c). Factor k(h).
-2*h*(h - 1)**2
Let n = 301/5 + -60. Factor 0*w - 2/5*w**3 + 0 + 1/5*w**4 + n*w**2.
w**2*(w - 1)**2/5
Let p(v) be the second derivative of v**6/2700 + v**5/450 + v**4/180 - 7*v**3/6 + 6*v. Let j(o) be the second derivative of p(o). Factor j(n).
2*(n + 1)**2/15
Let m(k) be the third derivative of -k**8/336 + k**6/60 - k**4/24 - 9*k**2. Factor m(i).
-i*(i - 1)**2*(i + 1)**2
Factor -27/4*i**4 - 9/8*i + 33/4*i**3 - 3*i**2 + 3/4 + 15/8*i**5.
3*(i - 1)**4*(5*i + 2)/8
Let s be (-687)/14*4/(-8). Let z = -97/4 + s. Determine a, given that 2/7*a**2 + 4/7*a + z = 0.
-1
Let v(r) = r**3 + 1. Let m(i) = -2*i - 2. Let t be m(-3). Let f(u) = -3 + 4*u**2 - 5*u**2 - 2*u**2 - 3*u**3 + 0 - 3*u. Let j(x) = t*v(x) + 2*f(x). Factor j(o).
-2*(o + 1)**3
Let g(p) be the first derivative of 81*p**5/10 + 171*p**4/8 + 31*p**3/2 - 3*p**2/4 - 3*p + 4. Determine r, given that g(r) = 0.
-1, -1/3, 2/9
Factor -63*l**3 + 2*l**5 + 1290*l + 1172*l**2 + 73*l**3 - 54*l**4 + 266*l**3 + 450.
2*(l - 15)**2*(l + 1)**3
Let h(v) = 6*v**4 + 8*v**3 - 4*v**2 + 2. Let x(n) = 5*n**4 + 7*n**3 - 3*n**2 - n + 1. Let t(k) = 3*h(k) - 4*x(k). Solve t(f) = 0 for f.
-1, 1
Determine b, given that 0*b**3 + 6/7*b**4 - 8/7*b**2 + 0 + 0*b - 2/7*b**5 = 0.
-1, 0, 2
Let g be ((-3)/14)/(12/(-8)). Let z(t) be the first derivative of -2/7*t**4 + 4/7*t + g*t**6 - 4/7*t**3 + 2 + 8/35*t**5 + 1/7*t**2. Let z(v) = 0. Calculate v.
-1, 2/3, 1
Let r(d) be the second derivative of -d**4/42 + 4*d**3/21 + 5*d**2/7 - 23*d. What is b in r(b) = 0?
-1, 5
Factor -2*o + 1708*o**4 + 2*o**2 - 8*o**2 - 1710*o**4 - 6*o**3.
-2*o*(o + 1)**3
Let o(w) be the first derivative of -6 + 4/11*w - 13/11*w**2 + 2/3*w**3. Factor o(z).
2*(z - 1)*(11*z - 2)/11
Let t(i) = 3*i**4 - i**3 - 3*i**2 - 3*i - 4. Let h(r) = -3*r**4 + 2*r**3 + 3*r**2 + 3*r + 5. Let s(p) = -4*h(p) - 5*t(p). Determine k, given that s(k) = 0.
-1, 0, 1
Factor -3/5*n**4 + 0 + 0*n + 3/5*n**3 + 0*n**2.
-3*n**3*(n - 1)/5
Let u(b) be the second derivative of -1/40*b**6 + 0*b**2 + 3/80*b**5 - 1/48*b**4 + 0*b**3 + 0 + 2*b + 1/168*b**7. Factor u(d).
d**2*(d - 1)**3/4
Suppose 47*z - 63*z + 64 = 0. Suppose -5/4*l**3 + 2 - 1/4*l**z - 3/2*l**2 + l = 0. Calculate l.
-2, 1
Let i(c) = 2*c**5 + 8*c**3 + 12*c**2 + 10*c. Let p(b) = -7*b**3 - 1 - 13*b**2 + b**4 - b**5 - 5*b - 5*b - b. Let w(k) = 3*i(k) + 4*p(k). Factor w(o).
2*(o - 2)*(o + 1)**4
Let t(w) be the second derivative of w**7/21 - w**5/5 + w**3/3 - w. Factor t(p).
2*p*(p - 1)**2*(p + 1)**2
Let f = -39 - -42. Let l(z) be the second derivative of 0 + 1/5*z**5 - 1/21*z**7 + 0*z**4 + 0*z**2 + 0*z**6 - 1/3*z**3 - f*z. Find h such that l(h) = 0.
-1, 0, 1
Suppose 3*k = -4*q + 2*q + 20, -5*q = 5*k - 40. Factor 3*g**2 + 0*g**3 - 3*g**q + 2*g - 5*g + 3*g**3.
-3*g*(g - 1)**2*(g + 1)
Suppose w = 5*w. Suppose w*n - 12 = -3*n. Solve 4/5*a**3 - 2/5 + 0*a**2 + 2/5*a**n - 4/5*a = 0 for a.
-1, 1
Let s be 2948/209 + -14 + 32/57. Suppose 2/3*m**4 + 0 - 2/3*m + s*m**3 - 2/3*m**2 = 0. What is m?
-1, 0, 1
Determine l, given that 0 - 1/4*l + 0*l**3 + 1/2*l**2 + 1/4*l**5 - 1/2*l**4 = 0.
-1, 0, 1
Let o(d) = 24*d**2 + 14. Let g(x) = 5*x**2 + 3. Let l(z) = -14*g(z) + 3*o(z). Let j be l(0). Factor 4/7*v**2 + 2/7*v + j + 0*v**3 - 2/7*v**5 - 4/7*v**4.
-2*v*(v - 1)*(v + 1)**3/7
Let f(k) be the third derivative of 1/21*k**3 - 1/84*k**4 + 0 + 1/420*k**6 + k**2 + 0*k - 1/210*k**5. Solve f(b) = 0.
-1, 1
Let 