= f**2 - 8*f + 9. Let j be t(7). Let q(u) be the second derivative of 1/4*u**j - 5/48*u**4 - 2*u + 0 - 1/8*u**3. Suppose q(z) = 0. Calculate z.
-1, 2/5
Let f = -244 - -246. Determine h so that -6/7*h**f - 2/7 - 8/7*h = 0.
-1, -1/3
Let x = -662 + 4644/7. Factor 4/7 - 2/7*i**3 - x*i + 8/7*i**2.
-2*(i - 2)*(i - 1)**2/7
Let g = 202 - 197. Factor 2*c**2 - 2/5*c**4 - 6/5*c**3 + 0 + 2/5*c**g - 4/5*c.
2*c*(c - 1)**3*(c + 2)/5
Suppose 3*w = 2*w - 5*r - 24, 0 = 5*w + r. Let y be 0/((-6)/((-3)/w)). Determine k, given that 4/7*k**2 + 0 + y*k**3 + 2/7*k - 4/7*k**4 - 2/7*k**5 = 0.
-1, 0, 1
Let m = 4 + 3. Suppose -4*l + 2*z = -22, -4*l - z = -0 - m. Factor 2*t**l - 4/3*t - 2/3*t**2 + 0.
2*t*(t - 1)*(3*t + 2)/3
Let z = 1 - 1. Factor 0*o + o**3 + 3*o**3 + o**4 + 4*o**2 + z*o.
o**2*(o + 2)**2
Let m be ((-4)/(-38))/((-71)/(-1349)). Let 9/5*h**5 + 5*h**4 + 0 + 21/5*h**3 + 3/5*h**m - 2/5*h = 0. What is h?
-1, 0, 2/9
Let r(w) be the third derivative of -81*w**7/280 + 27*w**6/40 - 3*w**4/2 + 2*w**3 - 8*w**2. Factor r(h).
-3*(3*h - 2)**3*(3*h + 2)/4
Determine c so that 4*c**4 + 2*c - 8*c**3 + 11*c**3 - 4*c**2 - 2*c**5 - 3*c**3 = 0.
-1, 0, 1
Let p(c) = -8*c**4 + 28*c**3 - 32*c**2 - 12*c. Let d(o) = -3*o**4 + 11*o**3 - 13*o**2 - 5*o. Let l(i) = 12*d(i) - 5*p(i). Solve l(h) = 0.
0, 1
Let z(p) be the third derivative of p**6/60 - p**5/90 - p**4/18 + 6*p**2. Factor z(b).
2*b*(b - 1)*(3*b + 2)/3
Let h(c) be the second derivative of c**4/12 - 13*c**3/18 - 5*c**2/3 + 18*c. Factor h(g).
(g - 5)*(3*g + 2)/3
Let d(a) be the second derivative of 0 + 1/30*a**5 + a**2 + 1/12*a**4 + 0*a**3 + a. Let m(f) be the first derivative of d(f). What is c in m(c) = 0?
-1, 0
Let l(u) be the third derivative of -u**5/3 - 4*u**4/3 - 32*u**3/15 - u**2. Determine w so that l(w) = 0.
-4/5
Find s such that -3*s - 6*s**2 - 3/4*s**4 + 0 - 15/4*s**3 = 0.
-2, -1, 0
Factor 84*i**3 - 8 + 3 - 48*i + 52*i**2 - 11.
4*(i + 1)*(3*i - 2)*(7*i + 2)
Let q(c) = -c**3 - 2*c**2 - c. Let d be q(-3). Suppose -d = b - 15. Let 0 - 2/3*i + 4/3*i**2 - 2/3*i**b = 0. What is i?
0, 1
Let p(n) be the second derivative of -n**6/120 + 3*n**5/40 - 2*n**3/3 - 5*n. Let g(r) be the second derivative of p(r). Factor g(x).
-3*x*(x - 3)
Let r(z) be the first derivative of z**4/2 + 2*z**3/3 - z**2 - 2*z - 8. Factor r(k).
2*(k - 1)*(k + 1)**2
Suppose -3*c = c - 8. Find l such that -2*l**5 + 2*l**4 + l**5 - l**5 + 4*l**5 - c*l**2 - 2*l**3 = 0.
-1, 0, 1
Let n(o) be the third derivative of -o**6/360 + o**5/90 + o**4/72 - o**3/9 - 26*o**2. Suppose n(p) = 0. What is p?
-1, 1, 2
Factor 0 - 1/6*q**2 - 1/3*q.
-q*(q + 2)/6
Let s be 15/12 + 66/(-88). Factor -s*w**5 + w**2 + 1/2*w + 0*w**3 + 0 - w**4.
-w*(w - 1)*(w + 1)**3/2
Suppose 7*k = 50 - 22. Suppose 0 + 2/7*u**3 - 4/7*u**2 + 2/7*u**k + 0*u = 0. Calculate u.
-2, 0, 1
Determine w, given that 3*w**2 + 128*w - 120*w - w**2 = 0.
-4, 0
Let w(j) be the third derivative of -1/42*j**7 + 0*j - 1/336*j**8 + 5*j**2 - 7/60*j**5 + 0 - 1/12*j**4 + 0*j**3 - 3/40*j**6. Factor w(m).
-m*(m + 1)**3*(m + 2)
Let n be (-25 + 3)*(-2)/4. Let u = -11 + n. Let u + s**3 + 3/4*s**2 - 1/4*s = 0. What is s?
-1, 0, 1/4
Factor -4 + 4 + 3*c**5 + 3*c**3 - 6*c**4.
3*c**3*(c - 1)**2
Let y(c) be the second derivative of -1/12*c**4 + 0 + 0*c**2 + 0*c**3 - 2*c. Let y(i) = 0. Calculate i.
0
Let k(a) = a**4 - a**3 + a**2 + a + 1. Let z(r) = -15*r**4 + 15*r**2 + 20*r - 10. Let m(s) = 10*k(s) + z(s). Factor m(y).
-5*y*(y - 2)*(y + 1)*(y + 3)
Factor 0*s - 21/2*s**2 + 0 - 3/4*s**3.
-3*s**2*(s + 14)/4
Suppose 0 - 2/9*b**3 + 2/9*b**4 - 4/9*b**2 + 0*b = 0. What is b?
-1, 0, 2
Suppose -g + 8 = g. Suppose 4*w - 2*w - g = 0. Factor 5*c**2 - 3*c**w + 5*c - 6*c + 5*c.
2*c*(c + 2)
Let n(j) = j**2 - 8*j + 6. Let l be n(6). Let i = l - -8. Factor -2/7 - 2/7*a**i - 4/7*a.
-2*(a + 1)**2/7
Let t(g) = g**2 - g. Let p(d) = -d**2 + 3*d + 7. Let f(c) = p(c) + 2*t(c). Let v(r) = r - 1. Let b(j) = f(j) + 3*v(j). Solve b(o) = 0.
-2
Suppose 0 = -2*a + a - 3*p + 15, 0 = a + p - 9. Suppose 6*j**4 + 4 + a*j - 11/2*j**3 - 13*j**2 + 5/2*j**5 = 0. What is j?
-2, -2/5, 1
Let a(z) be the second derivative of z**4/6 + z**3/3 - 2*z**2 - 25*z. Suppose a(r) = 0. Calculate r.
-2, 1
Suppose 5*b = -5*b + 30. Factor -1/2*k + 1/2*k**2 - 1/2 + 1/2*k**b.
(k - 1)*(k + 1)**2/2
Let r(o) = o + 5. Let y be -5*(0 - (2 - 3)). Let t be r(y). Determine w so that 2/3*w**5 + 0 + 0*w + t*w**2 - 2/3*w**3 + 0*w**4 = 0.
-1, 0, 1
Suppose -5*a + a + 12 = 0. Suppose -y = -2*n, 3*y - 18 = n - a. Solve 3*z**4 - y*z**2 - 2 + 0*z**2 - 4*z**4 + 1 - 4*z - 4*z**3 = 0.
-1
Let 2/5*m**2 + 0 + 1/5*m**3 + 1/5*m = 0. Calculate m.
-1, 0
Let m(q) be the first derivative of q**6/6 - q**5/5 - 2*q**4 + 8*q**3/3 + 8*q**2 - 16*q + 4. Determine z, given that m(z) = 0.
-2, 1, 2
Let h(a) be the first derivative of 1/20*a**4 - 4*a + 1/5*a**3 + 2 + 3/10*a**2. Let o(z) be the first derivative of h(z). Factor o(y).
3*(y + 1)**2/5
Let a be (-1)/2*3*4. Let c be (a/(-75))/(3/15). Factor -2/5*x - 4/5 + c*x**2.
2*(x - 2)*(x + 1)/5
Suppose -12*d**2 - 12*d**5 + 3*d**3 + 6*d**3 + 7*d**4 + 5*d**4 + 3*d = 0. Calculate d.
-1, 0, 1/2, 1
Let m(q) be the second derivative of q**4/48 - q**3/8 - q**2/2 + 46*q. Factor m(u).
(u - 4)*(u + 1)/4
Factor 7 + 5*q**2 + 6*q - q**2 + 6*q + 1.
4*(q + 1)*(q + 2)
Let u(a) be the third derivative of -1/16*a**4 + 1/20*a**5 - 8*a**2 + 0*a + 0 - 1/4*a**3. Factor u(r).
3*(r - 1)*(2*r + 1)/2
Let v(z) be the third derivative of z**7/1260 - z**6/180 + z**5/60 - z**4/24 + 4*z**2. Let o(j) be the second derivative of v(j). Determine g so that o(g) = 0.
1
Let i(v) be the first derivative of 4*v**5/5 - 4*v**3 + 4*v**2 - 12. Find p, given that i(p) = 0.
-2, 0, 1
Factor -2/5*v**2 - 24/5*v - 72/5.
-2*(v + 6)**2/5
Let y(w) be the second derivative of -w**7/147 - 4*w**6/105 - 2*w**5/35 + w**4/21 + 5*w**3/21 + 2*w**2/7 + 13*w. Determine c, given that y(c) = 0.
-2, -1, 1
Let 2/7*i - 4/7*i**2 - 6/7*i**3 + 0 = 0. What is i?
-1, 0, 1/3
Let p(r) be the second derivative of -81*r**5/100 + 3*r**4/4 + 16*r**3/15 + 2*r**2/5 - 8*r. Find v such that p(v) = 0.
-2/9, 1
Let j = 241 + -235. Factor -15/2*w + 3 - 3/2*w**3 + j*w**2.
-3*(w - 2)*(w - 1)**2/2
Let n be 4 + 0 + (-4 - -2). Let f(r) = -r**3 + r**2 + r - 1. Let a(t) = 4*t**2 - 4. Let p(g) = n*f(g) - a(g). Solve p(s) = 0 for s.
-1, 1
Let h = -153 + 153. Let 2/3*w**2 + 0*w - 1/3*w**3 + h = 0. What is w?
0, 2
Let u(v) be the third derivative of v**7/105 + v**6/30 - 4*v**2 - 6*v. Factor u(y).
2*y**3*(y + 2)
Let k = -2/3437 + 6996/209657. Let o = 136/427 - k. Factor -2/7*i**3 + o + 6/7*i**2 - 6/7*i.
-2*(i - 1)**3/7
Let f(r) be the first derivative of 0*r**2 - 3*r + 1 + 2/3*r**3 - 1/6*r**4. Let x(t) be the first derivative of f(t). Find w such that x(w) = 0.
0, 2
Solve -6*b + 2 + 2*b - b**3 + b + 6*b = 0 for b.
-1, 2
Let y(s) be the third derivative of s**5/80 - 5*s**4/48 + s**3/8 + 14*s**2. Factor y(q).
(q - 3)*(3*q - 1)/4
Suppose j - 3 - 1 = 0. Let i be j/9*(-6)/(-8). Determine u, given that -1/3*u**3 + i*u - 1/3*u**2 + 1/3 = 0.
-1, 1
Let 8/3 + 1/3*k**4 - 1/3*k**3 - 2*k**2 + 4/3*k = 0. Calculate k.
-2, -1, 2
Let g be (-11)/13 + -9 + 10. Let y = g + 29/65. Factor -y*h**3 + 2/5 - 4/5*h**2 + 1/5*h.
-(h + 1)**2*(3*h - 2)/5
Let q(r) = -r**3. Let k(d) = -20*d**3 - 6*d**2 + 15*d + 6. Let z(j) = -k(j) + 5*q(j). Factor z(a).
3*(a - 1)*(a + 1)*(5*a + 2)
Let -d**2 - 75 + 75 + d = 0. Calculate d.
0, 1
Let o(d) be the first derivative of 4*d**5/35 + d**4/7 - 4*d**3/7 - 2*d**2/7 + 8*d/7 + 9. Factor o(v).
4*(v - 1)**2*(v + 1)*(v + 2)/7
Let o(h) be the first derivative of -h**6/420 + h**5/420 - 4*h**3/3 - 3. Let w(x) be the third derivative of o(x). Let w(s) = 0. What is s?
0, 1/3
Factor -2/9*q - 2/9*q**3 + 0 + 4/9*q**2.
-2*q*(q - 1)**2/9
Let y be -1 + -1 - 8/(-3). Let r be (28/12)/((-2)/(-4)). Factor -4/3 + r*i - 6*i**2 + 10/3*i**3 - y*i**4.
-2*(i - 2)*(i - 1)**3/3
Find c such that 8/3*c**3 - 4/3*c**5 + 0*c + 0 + 4/3*c**4 + 0*c**2 = 0.
-1, 0, 2
Let i be -1 - 9/(-11) - 24/(-11). Factor -2/3*c**i - 2/3*c + 4/3.
-2*(c - 1)*(c + 2)/3
Suppose 4*s + t = -4 - 4, 4*t = 4*s - 12. Let y be ((-1)/s - 0) + 3. Factor -2*b**5 - 2*b**2 - 4*b**y + 3*b**2 + b**4.
-b**2*(b + 1)**2*(2*b - 1)
Let f(n) be the second derivative of -5*n**7/42 - 2*n**6/3 - 3*n**5/2 - 5*n**4/3 - 5*n**3/6 - 9*n. Suppose f(z) = 0. W