0*p**3.
-2*p*(p - 1)*(p + 1)**3/5
Let b(m) be the second derivative of -1/70*m**6 + 0 + 0*m**3 + 1/98*m**7 + 0*m**4 + 0*m**2 - 4*m - 3/70*m**5. Factor b(r).
3*r**3*(r - 2)*(r + 1)/7
Let m = 3/94 + 29/564. Let j(s) be the first derivative of 1 + 0*s**2 - 3/8*s**4 - m*s**6 - 1/6*s**3 + 0*s - 3/10*s**5. Factor j(z).
-z**2*(z + 1)**3/2
Let i(o) be the second derivative of -o**4/12 - 2*o**3/3 - o. Let u be i(-4). Factor 5/3*k**4 + 16/3*k**2 - 17/3*k**3 - 4/3*k + u.
k*(k - 2)*(k - 1)*(5*k - 2)/3
Suppose 6 = -3*o + 5*o. Find v such that v - 9*v**2 + v + 4*v**o + 5*v - 5*v = 0.
0, 1/4, 2
Let f(i) be the third derivative of i**9/11340 - i**8/20160 - i**4/6 - 4*i**2. Let v(a) be the second derivative of f(a). Factor v(p).
p**3*(4*p - 1)/3
Let t(w) = 6*w**3 + 9*w**2 + 12*w + 9. Let s(c) = -c**3 - c**2 - c - 1. Let q(y) = 9*s(y) + t(y). Factor q(m).
-3*m*(m - 1)*(m + 1)
Let o(n) = n**3 - n**2 - 2*n. Let w be o(2). Determine g, given that -1 - g + 2*g**2 - 3*g**2 - g + w = 0.
-1
Let x(o) be the second derivative of o**7/126 - o**6/10 + o**5/20 + 73*o**4/36 + 16*o**3/3 + 6*o**2 + 3*o. Factor x(w).
(w - 6)**2*(w + 1)**3/3
Let l = 6 - 4. Suppose -2*s**l + 0*s + 3*s**2 - 4*s + 5*s**2 = 0. Calculate s.
0, 2/3
Factor 0 + 0*n + n**2 - 3/2*n**3.
-n**2*(3*n - 2)/2
Let d(a) be the third derivative of a**5/390 + a**4/156 - 4*a**3/13 + 10*a**2 + 1. Factor d(q).
2*(q - 3)*(q + 4)/13
Let w(m) be the first derivative of 1 - 2/5*m**2 + 0*m - 2/5*m**4 - 2/3*m**3 - 2/25*m**5. Suppose w(i) = 0. What is i?
-2, -1, 0
Suppose 7*d + 5 = 33. Let -1/4*x**d + 1/2*x**2 - 1/4 - 1/4*x**5 + 1/2*x**3 - 1/4*x = 0. Calculate x.
-1, 1
Let d(n) = 6*n**3 + 15*n**2 + 30*n. Let x(q) = -q**3 + q**2 - q. Let b(u) = -d(u) - 3*x(u). What is r in b(r) = 0?
-3, 0
Factor -45 + 6*c - 7*c**2 + 45 + 2*c**3 + 15*c**2.
2*c*(c + 1)*(c + 3)
Let h(k) be the second derivative of -k**5/150 + k**4/90 + 2*k**3/45 + 10*k. Determine d so that h(d) = 0.
-1, 0, 2
Find m such that -29/4*m - 9/2 - 3/4*m**2 = 0.
-9, -2/3
Let u(j) be the third derivative of j**6/30 + 4*j**5/15 - 11*j**4/6 + 4*j**3 - 30*j**2. Factor u(z).
4*(z - 1)**2*(z + 6)
Suppose 40*c - 20 = 30*c. Factor 0 + 0*d**3 + 1/2*d**c + 0*d - 1/2*d**4.
-d**2*(d - 1)*(d + 1)/2
Let q(s) be the third derivative of s**6/30 - 2*s**5/15 - s**4/2 - 4*s**2. Factor q(b).
4*b*(b - 3)*(b + 1)
Suppose -k + 8 = 4*g, -3*k + 4*k - 2*g = 2. What is v in 7*v**5 + 16*v**2 + 38*v**3 + 50*v**k + 5*v**5 - 6*v**4 + 10*v**3 = 0?
-2, -1, -2/3, 0
Let g(s) be the second derivative of -1/12*s**4 + 0*s**3 + 4*s + 0*s**2 + 0 + 0*s**5 + 1/30*s**6. Factor g(n).
n**2*(n - 1)*(n + 1)
Find i such that -4/7 + 18/7*i - 4/7*i**2 - 18/7*i**3 + 8/7*i**4 = 0.
-1, 1/4, 1, 2
Factor 273*l + 257*l - 16 - 4*l**2 + 2*l**4 - 506*l - 6*l**3.
2*(l - 2)**2*(l - 1)*(l + 2)
Let v(j) be the second derivative of -j**4/6 + 2*j**3 - 9*j**2 - j. What is o in v(o) = 0?
3
Let n(p) = p**3 - 9*p**2 + 2*p - 1. Let v be n(9). Suppose -2*h = k - 2 + 7, 2*h + v = 3*k. Factor 0*a + 0 + 10/3*a**k + 4/3*a**2 - 14/3*a**4.
-2*a**2*(a - 1)*(7*a + 2)/3
Let 1/9*b**2 - 1/9*b + 1/9*b**3 + 0 - 1/9*b**4 = 0. What is b?
-1, 0, 1
Factor 3*k**3 - 5*k**2 - k**4 + 2*k**2 - 118*k + 119*k.
-k*(k - 1)**3
Solve 8/7 + 36/7*p**3 - 36/7*p - 16/7*p**4 + 8/7*p**2 = 0.
-1, 1/4, 1, 2
Factor 4*w**3 + 0*w - 5*w + 2 - 5*w**3 + 4*w**2.
-(w - 2)*(w - 1)**2
What is m in 1 + m**2 + 0*m + 2*m - 4*m = 0?
1
Let x(m) = -61*m**4 + 178*m**3 - 128*m**2 + 25*m - 7. Let c(r) = 20*r**4 - 59*r**3 + 43*r**2 - 8*r + 2. Let k(p) = -7*c(p) - 2*x(p). Factor k(g).
-3*g*(g - 2)*(g - 1)*(6*g - 1)
Let a be (-5)/6*1324/(-110). Let b = a - 29/3. Factor -b*h + 2/11*h**2 + 2/11.
2*(h - 1)**2/11
Let l(a) = -a - 2. Let h be l(-7). Suppose -9 = -h*r + 1. Factor 2*f**2 + f + 0*f - f**r.
f*(f + 1)
Let h(o) be the third derivative of -o**4/24 - o**3/3 - 3*o**2. Let s be h(-7). Let -4 + 22*k + 2*k**s - 14*k**4 + 73/2*k**3 - 43*k**2 = 0. What is k?
1/2, 2
Let b(m) be the second derivative of -1/2*m**3 + 0 + 1/4*m**4 + 5*m + 0*m**2. Suppose b(f) = 0. Calculate f.
0, 1
Let a be (0 + 0)/(-6 - -4). Let m(v) be the first derivative of 0*v**2 + 2 + 1/5*v**5 + v - 2/3*v**3 + a*v**4. Factor m(q).
(q - 1)**2*(q + 1)**2
Let y(d) be the second derivative of -d**6/360 + d**5/30 - d**4/6 - d**3/6 + d. Let j(p) be the second derivative of y(p). Let j(q) = 0. What is q?
2
Let d be ((-92)/161)/(10/(-28)). Factor d*r**2 + 0 + 2/5*r + 6/5*r**3.
2*r*(r + 1)*(3*r + 1)/5
Let z(q) be the first derivative of -1/90*q**6 + q + 0*q**3 + 0*q**2 - 3 + 1/18*q**4 - 1/60*q**5. Let u(l) be the first derivative of z(l). Factor u(y).
-y**2*(y - 1)*(y + 2)/3
Let q be (3 + -2)*(-2 - -3). Let h = q + 1. Factor -2*x**2 - 2*x**3 + x**2 + 4*x**4 - 3*x**2 + 2*x**h.
2*x**2*(x - 1)*(2*x + 1)
Let m(i) be the second derivative of i**4/102 - 8*i**3/17 + 144*i**2/17 + 23*i. Factor m(l).
2*(l - 12)**2/17
Solve -2/15*h**3 + 4/15*h**2 + 2/3*h - 4/5 = 0.
-2, 1, 3
Factor -16 - 43/3*w**2 + 5/3*w**3 + 104/3*w.
(w - 4)**2*(5*w - 3)/3
Let a be ((-16)/(-10))/(8/20). Let h(u) be the first derivative of 1/6*u**3 + 0*u**2 + 1/10*u**5 - 1 + 0*u - 1/4*u**a. Suppose h(k) = 0. What is k?
0, 1
Let a be 12*-19*1/(-2). Let p be a/27 - 2/9. Let p*v + 2*v**4 - 4*v**3 + 1 - 3 + 0 = 0. What is v?
-1, 1
Determine k, given that 5/7*k**2 - 1/7 + 2/7*k - 6/7*k**3 = 0.
-1/2, 1/3, 1
Factor -252*r**3 - 6 - 39 + 75*r + 257*r**3 - 35*r**2.
5*(r - 3)**2*(r - 1)
Let z = -124 - -128. Factor 1/5*y**2 - 1/5*y**3 + 1/5*y**5 + 0 - 1/5*y**z + 0*y.
y**2*(y - 1)**2*(y + 1)/5
Let o(m) be the third derivative of 2*m**2 + 0*m + 0 - 1/96*m**4 - 1/240*m**5 + 1/12*m**3. Factor o(f).
-(f - 1)*(f + 2)/4
Let 3/5*b + 3/5*b**2 + 0 = 0. What is b?
-1, 0
Factor -3/4*l + 3/4*l**2 + 0.
3*l*(l - 1)/4
Let h = -839/8 - -105. Let n = 3/8 + h. Factor 0 + 3/2*c**3 - n*c + c**2.
c*(c + 1)*(3*c - 1)/2
Let 12 - 30*v**5 + 2*v**3 - 37*v**4 + 13*v**3 - 5 + 35*v**2 - 5 + 15*v = 0. What is v?
-1, -1/2, -2/5, -1/3, 1
What is x in 2 - 3*x**5 - 9*x + 89*x**2 - 8 + 12*x**3 - 83*x**2 = 0?
-1, 1, 2
Let -2*n**3 + 0*n**2 - 8*n**2 + 6*n**3 = 0. Calculate n.
0, 2
Find j such that 0*j**2 - 2*j**2 + 50 - 14*j + 4*j**2 - 6*j = 0.
5
Let q(y) be the second derivative of 0*y**3 + 0*y**2 - 1/10*y**5 + 1/21*y**4 + 5*y - 1/49*y**7 + 8/105*y**6 + 0. Let q(z) = 0. What is z?
0, 2/3, 1
Let p(q) be the second derivative of -q**6/40 - 9*q**5/80 + q**3/2 + 7*q. Let p(r) = 0. What is r?
-2, 0, 1
Suppose p - 2 = -0*p. Let -p*z**4 - 4*z - 2 + 7*z - 3*z + 4*z**2 = 0. Calculate z.
-1, 1
Suppose 7*a = 4*a + 9. Factor 2 + 4*g + 4*g - g**3 + 9*g**a + 12*g**2 + 2*g**4.
2*(g + 1)**4
Let r(p) be the third derivative of 0 - 4/9*p**3 - 3*p**2 - 1/9*p**4 + 0*p - 1/90*p**5. Factor r(m).
-2*(m + 2)**2/3
Let o be (18/(-7))/(5/35). Let u(r) = -r**3 - r**2 + 2*r. Let t(a) = -3*a**3 - 4*a**2 + 9*a. Let w(d) = o*u(d) + 4*t(d). Determine f, given that w(f) = 0.
-1/3, 0
Suppose 24*m**2 - 2 + m + 2*m - 25*m**2 = 0. Calculate m.
1, 2
Let f be (-207)/12 - 6/8. Let a be f/(-4) - (-1)/(-2). Find c, given that 23*c**4 - 12*c**3 + c**5 - 9*c**5 - 8*c**4 + 3*c**a + 2*c**2 = 0.
0, 1/4, 1
Let d(m) be the second derivative of -m**7/189 - 7*m**6/135 - 19*m**5/90 - 25*m**4/54 - 16*m**3/27 - 4*m**2/9 - 8*m. Suppose d(t) = 0. What is t?
-2, -1
Let r be (1 + 3/(-9))*3. Factor -50*q**3 + 2*q + 6*q**2 - r + 54*q**3 - 2*q.
2*(q + 1)**2*(2*q - 1)
Let o be (-2)/4 + 4/8. Let f(t) be the third derivative of 1/60*t**4 + o*t**3 + 0*t - 1/300*t**6 - 2*t**2 - 1/525*t**7 + 0 + 1/150*t**5. Factor f(w).
-2*w*(w - 1)*(w + 1)**2/5
Find x, given that 4*x**3 + 2/3*x**5 + 2/3*x - 8/3*x**4 - 8/3*x**2 + 0 = 0.
0, 1
Let a be 2 - 0/(1 - -2). Suppose a*k = 6*k. Factor -1/3*d - 1/3*d**3 + 2/3*d**2 + k.
-d*(d - 1)**2/3
Let l(p) be the second derivative of -p**6/30 - p**5/10 - p**4/12 - 13*p. What is q in l(q) = 0?
-1, 0
Let v(s) be the second derivative of 1/135*s**6 - 1/54*s**4 - s - 1/27*s**3 + 0*s**2 + 1/90*s**5 + 0. Determine r so that v(r) = 0.
-1, 0, 1
Let n(y) = -y**3 - y**2 + y. Let o(i) = 2*i**4 - 6*i**3 - 2*i**2 + 2*i. Let a(t) = -2*n(t) + o(t). Factor a(p).
2*p**3*(p - 2)
Let l(y) be the third derivative of y**9/37800 - y**8/16800 + y**4/6 - y**2. Let w(z) be the second derivative of l(z). Factor w(r).
2*r**3*(r - 1)/5
Let u = 9 - 9. Let o be (-1 + u - -2) + 2. Solve 7*z**3 + o