)*(v - 1)**3
Suppose -3*u + q = -17, 2*u + 8*q = 6*q - 2. Factor -2/5*d**u - 6/5*d**3 + 0 + 8/5*d + 0*d**2.
-2*d*(d - 1)*(d + 2)**2/5
Determine s, given that 0*s + 0 - 3/5*s**3 + 0*s**2 = 0.
0
Let r be (2/(-4))/(7/(-28)). Factor 0*n**r - 1/4*n**3 + 1/2 + 3/4*n.
-(n - 2)*(n + 1)**2/4
Let h be (1 - 2/4)*37/74. Factor 0 + 11/4*c**4 + h*c + 1/4*c**2 - c**5 - 9/4*c**3.
-c*(c - 1)**3*(4*c + 1)/4
Suppose 13 = 5*n + 3. Let v(o) = -o**3 + o - 1. Let i(u) = 2*u**3 - u**2 - 2*u + 4. Let z(d) = n*i(d) + 6*v(d). Factor z(k).
-2*(k - 1)*(k + 1)**2
Let u(w) be the third derivative of -w**6/1440 - w**5/120 - w**4/24 + w**3/3 - w**2. Let t(h) be the first derivative of u(h). Factor t(o).
-(o + 2)**2/4
Let 8*h**2 - 18*h**4 + 8*h - 21*h**3 - 4*h**5 + 12*h + 2*h**4 + 8 + 5*h**3 = 0. What is h?
-2, -1, 1
Factor 0 + 1/3*b**2 - 2/3*b**3 + 2*b.
-b*(b - 2)*(2*b + 3)/3
Let b(w) = -w**4 + w**3. Let j(t) = -2*t**5 + 12*t**4 - 14*t**3 + 4*t**2. Let x(f) = -4*b(f) - j(f). Factor x(u).
2*u**2*(u - 2)*(u - 1)**2
Suppose n - 11 = 3*a, 3*n + n + 4 = -4*a. Find w, given that -6*w**3 - 2 + 2 + w**n + 2*w**5 + 3*w**2 = 0.
-2, 0, 1
Let x be (14/(-28))/(0 - 2/12). Let n(t) be the first derivative of -1/4*t**4 + 1/2*t**2 + 2 + 0*t**x + 0*t. Factor n(w).
-w*(w - 1)*(w + 1)
Let d(i) be the first derivative of 1/15*i**6 + 1/10*i**4 + 0*i**3 + 1 - 4/25*i**5 + 0*i**2 + 0*i. Factor d(x).
2*x**3*(x - 1)**2/5
Let y(q) = -q**2 + q. Let o(l) be the first derivative of l**4/4 - 4*l**3/3 + 2*l**2 - l + 3. Let k(t) = o(t) - 5*y(t). Factor k(m).
(m - 1)*(m + 1)**2
Let d = 61 + -61. Find b such that 1/2*b - 2*b**3 + d + 3/2*b**2 = 0.
-1/4, 0, 1
Let x(r) be the third derivative of 2*r**7/735 + r**6/60 - 2*r**5/105 + 33*r**2. Determine g so that x(g) = 0.
-4, 0, 1/2
Let z(q) be the first derivative of 1/3*q**3 + 1/12*q**4 + 1/2*q**2 + 4 + 3*q. Let v(a) be the first derivative of z(a). Factor v(c).
(c + 1)**2
Suppose 0 = -0*f + 3*f - 3. Solve t + f - t**2 - 1 + 0 = 0 for t.
0, 1
Let a(n) be the third derivative of 3*n**2 + 1/1008*n**8 + 0*n**3 + 0 + 0*n**6 + 0*n - 1/90*n**5 - 1/72*n**4 + 1/315*n**7. Solve a(l) = 0.
-1, 0, 1
Let w(u) = 3*u - 8. Let i be w(4). Factor v + 5*v**4 + 5*v - 6*v**3 - 5*v**i - 3*v**4 + 3.
-3*(v - 1)*(v + 1)**3
Suppose -15*a**4 - 168*a**3 - 3*a + 1 + 131*a**3 + 1 - 27*a**2 = 0. Calculate a.
-1, -2/3, 1/5
Let w(b) = -4*b**3 + 14*b**2 + 10*b - 2. Let o(x) = -9*x**3 + 29*x**2 + 20*x - 5. Let i(m) = -6*o(m) + 13*w(m). Determine a so that i(a) = 0.
-2, -1
Suppose 14*u = 4*u. Find s, given that 4/9*s**3 + 2/9*s**4 - 2/9*s**2 - 4/9*s + u = 0.
-2, -1, 0, 1
Let s(u) = -u - 2. Let b be s(-6). Let q be (1 - 1)/(-1 - -3). Determine x so that -x**b + x**2 + q*x**2 + 0*x**4 = 0.
-1, 0, 1
Factor -3/2*q**3 - 3/2*q**2 + 3/2*q**4 + 0 + 3/2*q.
3*q*(q - 1)**2*(q + 1)/2
Let l be 0/(6/3 + -3). Let y(v) be the third derivative of -1/105*v**7 + 0*v**3 + 0 + 1/30*v**5 + 0*v**6 + 2*v**2 + l*v**4 + 0*v. Let y(u) = 0. What is u?
-1, 0, 1
Let c(a) be the third derivative of -a**6/480 - a**5/240 + a**4/16 + 19*a**2. Factor c(i).
-i*(i - 2)*(i + 3)/4
Let a be -1 + 0 + 2 - -11. Suppose -3*v - 4*x = -14, 4*v + 4*x - a = 4. Factor -4*k**2 + 2 + 3*k**2 - k**v.
-2*(k - 1)*(k + 1)
Let g(h) be the second derivative of h + 1/24*h**3 + 0*h**2 + 0 + 1/80*h**5 - 1/24*h**4. Let g(x) = 0. Calculate x.
0, 1
Let n(g) = -g**2 + 2*g. Let l be (3 - 5)*(-1 + 0). Let s be n(l). Determine d so that d**5 + s*d**5 + d**3 + d**5 - 4*d**4 + d**3 = 0.
0, 1
Suppose 3 = 2*y - 1. Factor -v**4 - 5*v**2 + 5*v**4 + 3*v**2 - y*v**4.
2*v**2*(v - 1)*(v + 1)
Let t = 5 - 2. Suppose t*i - 8 = i. Find y such that y**4 + i*y**2 + y**3 - y - y**2 - 4*y**2 = 0.
-1, 0, 1
Suppose 3*x + 3*j - 18 = 0, 13 = 3*j + 1. Factor -m + 3*m**2 - m**2 + 0*m**x - m**2.
m*(m - 1)
Let m(g) = -2*g**2 + 14*g + 3. Let b be m(7). Let z(s) be the second derivative of 0 + 1/9*s**b - 1/30*s**5 - 2*s + 0*s**2 + 0*s**4. Let z(w) = 0. What is w?
-1, 0, 1
Let u be (63/14 - 6)/((-10)/16). Let s be 33*(-2 + (-32)/(-15)). Factor u*v**2 - 28/5*v**3 - 2/5 - 6/5*v**5 + 2/5*v + s*v**4.
-2*(v - 1)**4*(3*v + 1)/5
Suppose -38*d = 5*d - 258. Determine y, given that 0 + 9*y**3 - 6*y**4 + 3/2*y**5 - d*y**2 + 3/2*y = 0.
0, 1
Let m(x) be the second derivative of -2*x**7/21 - 4*x**6/15 + x**5/5 + 2*x**4/3 - 12*x. Suppose m(b) = 0. Calculate b.
-2, -1, 0, 1
Let g(s) be the third derivative of -s**6/240 + s**5/20 - s**4/4 - s**3/6 - 5*s**2. Let x(o) be the first derivative of g(o). Factor x(q).
-3*(q - 2)**2/2
Let s(r) be the second derivative of -3*r**7/2 + 11*r**6/2 - 7*r**5/5 - 12*r**4 + 16*r**3 - 8*r**2 - 2*r. What is i in s(i) = 0?
-1, 2/7, 2/3, 2
Let u = -131 + 134. Determine a so that 1/6*a**5 - 1/3*a**2 + 1/3*a**4 + 0*a**u + 0 - 1/6*a = 0.
-1, 0, 1
Let l(c) be the third derivative of -1/3*c**3 + 8*c**2 - 3/20*c**5 + 0 - 11/24*c**4 + 0*c. Let l(i) = 0. What is i?
-1, -2/9
Let i(m) be the first derivative of 2 + 0*m**2 + 0*m**3 - m - 3/10*m**5 + 3/20*m**6 + 1/6*m**4. Let o(x) be the first derivative of i(x). Factor o(r).
r**2*(3*r - 2)**2/2
Let v = -7/25 - -71/75. Factor v*p - 2/3*p**4 - 2/3*p**3 + 0 + 2/3*p**2.
-2*p*(p - 1)*(p + 1)**2/3
Let f(c) be the third derivative of -2*c**7/35 - c**6/8 + 7*c**5/20 + c**4/4 + 37*c**2. Factor f(a).
-3*a*(a - 1)*(a + 2)*(4*a + 1)
Let u be 1/(-3) + (-1 - (-13)/6). Let o(m) be the first derivative of 2 + 4/15*m**5 - 1/3*m**4 - 2/3*m + u*m**2 - 2/9*m**3 - 1/18*m**6. Factor o(h).
-(h - 2)*(h - 1)**3*(h + 1)/3
Factor 6*r**2 - 4/3*r + 0 + 22/3*r**4 - 2*r**5 - 10*r**3.
-2*r*(r - 1)**3*(3*r - 2)/3
Suppose 0 = 4*u + 2*p + 274, 6*u - 3*p = u - 337. Let s = u - -275/4. Factor s*k**3 - 3/4*k**4 + 0*k - 1/4*k**2 + 0 + 1/4*k**5.
k**2*(k - 1)**3/4
Factor -7/2*q - 9/2*q**2 + 1.
-(q + 1)*(9*q - 2)/2
Let v(q) be the third derivative of q**8/2240 - q**7/280 + q**6/120 - q**4/24 - 2*q**2. Let c(h) be the second derivative of v(h). What is x in c(x) = 0?
0, 1, 2
Let j(w) be the second derivative of 1/4*w**4 - 1/2*w**3 + 0 - 3*w**2 - 3*w. Factor j(y).
3*(y - 2)*(y + 1)
Let i(v) = v**2 - 51*v + 347. Let m be i(8). Find r, given that 4/5*r**4 + 2*r + 18/5*r**2 + 2/5 + 14/5*r**m = 0.
-1, -1/2
Let 59 + 92*q**2 - 113*q + 16*q**3 - 12*q**4 + 24*q - 87*q - 11 = 0. Calculate q.
-3, 1/3, 2
Let q(s) be the third derivative of -1/100*s**5 + 3*s**2 - 1/1050*s**7 + 0*s + 1/120*s**4 + 1/200*s**6 + 0 + 0*s**3. Let q(k) = 0. What is k?
0, 1
Let v = -121 + 243/2. Factor v - d + 1/2*d**2.
(d - 1)**2/2
Let v be 99/(-12)*(-1)/5. Let a = v + -7/5. Let -1/4*p**4 + 0 + a*p**3 + 1/4*p**2 + 0*p - 1/4*p**5 = 0. Calculate p.
-1, 0, 1
Let i be 1/4*-2*-8. Factor -1/3*h**i + 0*h + 0 + 0*h**2 + 4/3*h**5 + 0*h**3.
h**4*(4*h - 1)/3
Let a(y) be the second derivative of y**9/3024 - y**7/840 + 5*y**3/6 + 3*y. Let m(i) be the second derivative of a(i). Factor m(u).
u**3*(u - 1)*(u + 1)
Let a be 828/(-108) - 16/(-2). Find r, given that -2/3*r**4 + 2/3*r**2 + 0 + a*r + 0*r**3 - 1/3*r**5 = 0.
-1, 0, 1
Let n(r) = r**2 + 3*r + 2. Let a be n(-3). Let l = 176 - 173. Let 0 - l*t**a - 1 + 1 + 3*t = 0. Calculate t.
0, 1
Suppose -2*y - 51 = -0*l + 3*l, 0 = -3*y - 5*l - 77. Let v(a) = -4*a**2 + 21*a - 1. Let u(m) = -21*m**2 + 105*m - 6. Let f(o) = y*v(o) + 5*u(o). Factor f(z).
-3*(z - 2)*(3*z - 1)
Suppose 5*v + 45 = -110. Let c be 10/55 + v/(-11). Find y, given that -c*y**2 + y + 3*y**4 + 0*y**3 + 0*y**3 - y**3 = 0.
-1, 0, 1/3, 1
Let 19*y**5 - 15*y**5 + 3*y**3 - 7*y**5 = 0. Calculate y.
-1, 0, 1
Factor 0*q - 5/4*q**2 + 5.
-5*(q - 2)*(q + 2)/4
Let n(c) be the third derivative of -c**7/5040 + c**6/720 - 5*c**4/24 - 2*c**2. Let k(y) be the second derivative of n(y). Solve k(u) = 0.
0, 2
Suppose -22363 + 23659 + 3*k**2 + k**2 + 144*k = 0. Calculate k.
-18
Let b(w) be the second derivative of -w**10/105840 - w**9/52920 - 5*w**4/12 + 3*w. Let o(x) be the third derivative of b(x). Determine c so that o(c) = 0.
-1, 0
Let z(o) be the second derivative of -o**5/90 - o**4/54 + 16*o**3/27 - 20*o**2/9 + 4*o. Factor z(l).
-2*(l - 2)**2*(l + 5)/9
Let c(p) be the first derivative of -1/5*p + 1/5*p**2 - 5 - 1/15*p**3. Factor c(f).
-(f - 1)**2/5
Suppose 0 = -0*g + g + 14. Let r = 28 + g. Let -11*n**2 + r*n**3 + 7*n - 3*n - 7*n**2 = 0. Calculate n.
0, 2/7, 1
Suppose p = -2 + 6. Let f(r) be the third derivative of -1/24*r**3 + 1/240*r*