3/6). Factor -3/2*b**5 - b - 15/2*b**3 - z*b**4 - 9/2*b**2 + 0.
-b*(b + 1)**3*(3*b + 2)/2
Factor -6/5*x - 21/5*x**2 + 12/5*x**3 + 0.
3*x*(x - 2)*(4*x + 1)/5
Suppose 4*f - 59 = -f + 2*a, 6 = -3*a. Let v = -6 + f. Factor -i**2 - v + 5.
-i**2
Let p(s) be the second derivative of -3/100*s**5 - 6/5*s**2 + 0 + 3/20*s**4 + 0*s**3 - 3*s. Determine v so that p(v) = 0.
-1, 2
Let o(g) be the first derivative of 0*g + 0*g**3 + 0*g**4 + 0*g**2 + 2/9*g**6 + 1/15*g**5 - 3. Solve o(r) = 0.
-1/4, 0
Let t = 13/18 + -7/18. Factor -t*h - 2/3*h**4 + 2/3*h**2 + 0 + 1/3*h**3.
-h*(h - 1)*(h + 1)*(2*h - 1)/3
Let g = -263 - -266. Suppose 0 + 2/9*k**2 + 0*k + 2/9*k**g = 0. Calculate k.
-1, 0
Let q(o) = 2*o**2 + 1 + 0 - o**2 + o. Let n(g) = 16*g**2 + 18*g + 14. Let r(y) = n(y) - 12*q(y). Solve r(i) = 0.
-1, -1/2
Let v = -604 - -4234/7. Factor 0*m**2 + 0 + 3/7*m**3 + 3/7*m**5 - v*m**4 + 0*m.
3*m**3*(m - 1)**2/7
Let 8/7*m + 12/7*m**2 + 2/7*m**4 + 2/7 + 8/7*m**3 = 0. What is m?
-1
Let b(r) be the first derivative of 18*r**5/35 - 12*r**4/7 + 44*r**3/21 - 8*r**2/7 + 2*r/7 - 7. Factor b(l).
2*(l - 1)**2*(3*l - 1)**2/7
Suppose -4*c + 6 = 4*d - c, 4*c = -4*d + 4. Determine w, given that -2 - 4*w**d - 1 + 3*w + w**3 + 3*w**2 = 0.
-1, 1
Suppose 10*f = -2*f + 24. Factor 1/4*l**f - 1/4*l - 1/4 + 1/4*l**3.
(l - 1)*(l + 1)**2/4
Let f(x) be the third derivative of 0*x + 0*x**4 + 0*x**3 + 0*x**5 - 1/30*x**6 + 8*x**2 - 1/84*x**8 + 4/105*x**7 + 0. Factor f(c).
-4*c**3*(c - 1)**2
Let n(p) = p**3 - 2*p - 1. Let m be n(-1). Suppose 12*i - 10*i = m. Factor 0*q**4 + i*q**2 + 0 + 2/3*q**5 + 0*q - 2/3*q**3.
2*q**3*(q - 1)*(q + 1)/3
Let h = -14 + 18. Factor 0 + 8*n**4 + 0 - 4*n**h - 4*n**5.
-4*n**4*(n - 1)
Let i(t) be the third derivative of 1/24*t**4 + 0 + 1/30*t**5 + 0*t**3 - 3*t**2 + 0*t + 1/120*t**6. Factor i(k).
k*(k + 1)**2
Let b(k) be the first derivative of 2/5*k + 3 + 11/10*k**2 + 4/5*k**3. Suppose b(n) = 0. Calculate n.
-2/3, -1/4
Let r be 5/(-45) + (20/18)/5. Let u(h) be the first derivative of 1 + 2/9*h + 1/18*h**4 - r*h**2 - 2/27*h**3. Factor u(f).
2*(f - 1)**2*(f + 1)/9
Let v(r) be the first derivative of -r**5/10 + 7*r**4/8 - 3*r**3/2 - 27*r**2/4 + 27*r - 24. Factor v(c).
-(c - 3)**3*(c + 2)/2
Let s(y) be the third derivative of 1/20*y**6 + 1/2*y**3 - 1/70*y**7 - y**2 + 0*y**5 + 0*y + 0 - 1/4*y**4. Determine t, given that s(t) = 0.
-1, 1
Solve -267 + 267 - 5*q**2 + 5*q = 0 for q.
0, 1
Let x(p) = -p**2 + p - 1. Let k(z) = -z**2 - 5*z + 8. Let l = -2 - -1. Let s(d) = l*k(d) - 2*x(d). Factor s(r).
3*(r - 1)*(r + 2)
Let u(z) be the first derivative of 2*z**3/3 + 3*z**2 + 4*z - 5. Solve u(y) = 0.
-2, -1
Let d = -1/6 - -2/3. Let h(s) be the first derivative of 0*s**3 - s**2 + d*s**4 + 0*s + 2. Factor h(m).
2*m*(m - 1)*(m + 1)
Let r = -3/121 - -499/605. Solve -4/5*o**2 - r*o**5 + 2/5 + 8/5*o**3 - 4/5*o + 2/5*o**4 = 0 for o.
-1, 1/2, 1
Suppose -q = 2 - 4. Let p = -1 - -1. Factor p*k + 1/3 - 1/3*k**q.
-(k - 1)*(k + 1)/3
Let f(t) = -2*t**4 - 16*t**3 + 2*t**2 - 8*t. Let p(c) = -c**2 + 6*c. Let m be p(5). Let b(g) = g**3 + m + g - 4 - 1. Let u(n) = 12*b(n) + f(n). Solve u(j) = 0.
-2, -1, 0, 1
Let y(h) = h**5 + 4*h**4 + 9*h**3 - 2*h**2. Let l(t) = t**5 + 7*t**4 + 18*t**3 - 5*t**2. Let n(v) = -4*l(v) + 7*y(v). Suppose n(g) = 0. Calculate g.
-2, 0, 1
Let c(y) be the third derivative of 0 + 0*y**6 + 1/1470*y**7 - 1/420*y**5 + 0*y**4 + 0*y**3 + 3*y**2 + 0*y. Factor c(k).
k**2*(k - 1)*(k + 1)/7
Suppose -2*k + 2*p + 1 = 9, -2*p + 10 = 0. Let c(w) be the first derivative of 0*w - k + 1/12*w**4 - 1/6*w**2 + 1/15*w**5 - 1/9*w**3. Solve c(g) = 0.
-1, 0, 1
Let m(q) = 3*q**3 - 9*q**2 - 5*q - 5. Let o(u) be the first derivative of 5*u**4/4 - 13*u**3/3 - 7*u**2/2 - 7*u - 1. Let s(n) = -7*m(n) + 5*o(n). Factor s(d).
2*d**2*(2*d - 1)
Let h(r) = -7*r**2 - 4*r + 5. Suppose j + 0 = -4*v - 5, 2*v + 34 = 4*j. Let z(y) = 8*y**2 + 5*y - 6. Let s(a) = j*h(a) + 6*z(a). Determine g so that s(g) = 0.
1
Let l = 5 - -1. Suppose 2*x**2 + 6*x - 6*x - 2*x**5 - 6*x**3 + l*x**4 = 0. What is x?
0, 1
Let b(w) be the third derivative of -1/30*w**5 + 0*w**4 + 0 + 0*w + 0*w**3 + 8*w**2 - 1/60*w**6. Factor b(q).
-2*q**2*(q + 1)
Let s = -67 + 69. Let 1/6*x**3 + 2*x + x**s + 4/3 = 0. Calculate x.
-2
Suppose -4 = -5*u + 4*u. Let z be 1 - (6/u + -1). Factor 0 - z*p**2 + 1/6*p**3 + 1/3*p.
p*(p - 2)*(p - 1)/6
Let m = -15 - -18. Suppose -2*l = m*i + 6, 0*l = -2*i + l + 3. Factor i*v**3 - 1/5*v + 1/5*v**5 + 0 - 2/5*v**2 + 2/5*v**4.
v*(v - 1)*(v + 1)**3/5
Let n be 16/4*(-1)/(-2). Let c(v) be the first derivative of -1/5*v**5 + 1 + 9/16*v**4 + 0*v - 1/2*v**3 + 1/8*v**n. Let c(p) = 0. What is p?
0, 1/4, 1
Suppose 3*r - 27 = 3. Factor -9*i**4 - r + 4*i + 9 - 11*i**3 + 2*i**2 - i**3.
-(i + 1)**2*(3*i - 1)**2
Let z(m) be the first derivative of m**4/28 + 2*m**3/21 - m**2/14 - 2*m/7 - 1. Let z(v) = 0. Calculate v.
-2, -1, 1
Let g be ((-12)/30)/(1/(-4)). Factor -g + 32/5*w - 14/5*w**2.
-2*(w - 2)*(7*w - 2)/5
Let t = 23 + -21. Let r be t/9 + 80/45. Determine o so that -2/7 + 2/7*o**r + 8/7*o**3 - 8/7*o = 0.
-1, -1/4, 1
Let y(x) be the second derivative of -x**4/28 + 3*x**3/14 - 3*x**2/7 - 12*x. Factor y(d).
-3*(d - 2)*(d - 1)/7
Let k(w) be the first derivative of 5*w**3/3 - 85*w**2 + 1445*w - 33. Solve k(t) = 0.
17
Suppose -3*v + 8*v + 30 = 0. Let f = v - -8. Solve 0 - 2/7*l + 2/7*l**f = 0.
0, 1
Let q(w) = -3*w - 2. Let p be q(-2). Factor 2*b**3 + b**4 - 2*b - b**3 + 0*b**p - b**2 + b.
b*(b - 1)*(b + 1)**2
Let i(b) be the first derivative of -b**3 - 6*b**2 + 15*b + 21. What is o in i(o) = 0?
-5, 1
Let h(k) be the first derivative of k**5/40 - k**4/24 - 3*k + 3. Let b(a) be the first derivative of h(a). Suppose b(p) = 0. What is p?
0, 1
Let i(v) be the first derivative of 3*v**5/5 + 3*v**4/2 + 6. Find z such that i(z) = 0.
-2, 0
Let w = 422 + -2942/7. Let 8/7*p**2 + 8/7*p**4 + 0 - w*p**3 - 2/7*p**5 - 2/7*p = 0. Calculate p.
0, 1
Let r(w) be the second derivative of -w**6/75 + w**4/10 - 2*w**3/15 - 39*w. Let r(k) = 0. What is k?
-2, 0, 1
Let x(d) = -4*d**2 - 3 - 5*d + 2*d**2 + d**2. Let r be x(-3). Suppose 0*q**3 + q**5 - 2*q**r + 3*q**3 - 2*q**4 = 0. Calculate q.
0, 1
Let m(j) be the second derivative of -j**6/1800 - j**5/600 - j**3/2 - j. Let d(n) be the second derivative of m(n). Factor d(x).
-x*(x + 1)/5
Let y(d) be the first derivative of d**5/5 + d**4/2 - 23. Factor y(j).
j**3*(j + 2)
Suppose n + 6 = 13. Let l(z) be the third derivative of 1/30*z**5 + 0 + 0*z + 0*z**3 + 3*z**2 - 1/336*z**8 + 0*z**6 + 1/24*z**4 - 1/105*z**n. Factor l(v).
-v*(v - 1)*(v + 1)**3
Factor 1/2*u**2 - 2 + 3/2*u.
(u - 1)*(u + 4)/2
Suppose 0 = -r - 2*r + 6. Suppose 0*a = a - r. Suppose 4*u - u + a + 2*u**2 + u = 0. What is u?
-1
Factor 12*x + 1/2*x**5 - 5*x**3 + 1/2*x**4 - 2*x**2 + 0.
x*(x - 2)**2*(x + 2)*(x + 3)/2
Suppose -q = -3*q + 4. Suppose 0*u + 27 = 5*u + 2*b, -18 = -3*u - 3*b. Factor -q*m + 2*m**3 + 0 - m**4 - m**u + m + 2*m**2 - 1.
-(m - 1)**2*(m + 1)**3
Suppose -2*s - 7 = -3*g, 2*s - s + g + 1 = 0. Let l be ((-32)/(-10))/(-2) - s. What is k in -2/5*k**4 + l*k**2 + 0*k + 0*k**3 + 0 = 0?
-1, 0, 1
Let u(o) be the first derivative of -o**6/480 + o**5/80 - 2*o**2 + 4. Let i(p) be the second derivative of u(p). Factor i(r).
-r**2*(r - 3)/4
Suppose -4*i = -i + 2*h - 21, 31 = 5*i + 2*h. Solve -16*y**3 - 7 + 1 + 4*y + i + 16*y**2 - 3*y = 0.
-1/4, 1/4, 1
Let g(c) be the second derivative of -c**7/210 - c**6/60 - c**5/60 - c**2 + 4*c. Let o(p) be the first derivative of g(p). Factor o(b).
-b**2*(b + 1)**2
Let o(s) = s**3 + s**2 - s. Suppose 3*q = 2*q + 1. Let y(u) = -2*u**4 + 4*u**3 + 12*u**2 - 4*u - 4. Let p(i) = q*y(i) - 6*o(i). What is n in p(n) = 0?
-2, -1, 1
Let y = 8 + -8. Let p(c) be the third derivative of -1/72*c**4 + 0 + 0*c + y*c**3 - c**2 + 1/180*c**5. Factor p(h).
h*(h - 1)/3
Let w(k) = 32*k**2 - 2*k - 1. Let j be w(-1). Factor 8*u**2 - 33*u**3 - u**4 - 16 + j*u**3.
-(u - 2)**2*(u + 2)**2
Let u be -2 + 1/(1/2). Suppose u*m + 4 = m. Find x such that 29/4*x**3 + 0 + 7*x**m - 1/4*x**2 - 1/2*x = 0.
-1, -2/7, 0, 1/4
Let u(g) be the second derivative of g**4/102 + g**3/17 + 2*g**2/17 - 6*g. Factor u(n).
2*(n + 1)*(n + 2)/17
What is t in -3*t**3 + 5*t**2 + 4*t**3 - 6 + 5*t + 1 - 6*t**3 = 0?
-1, 1
Let c(m) be the third derivative of -m**8/96 + m**7/210 + 7*m**6/120