 + 0 - 1/3*r**5 - r**4 = 0.
-1, 0
Suppose 16 = 4*x - 4. Suppose -5*d + 45 = -x*b, d - 2 - 11 = 2*b. Factor 2/9*z**d - 4/9*z**4 + 0 - 2/9*z + 0*z**3 + 4/9*z**2.
2*z*(z - 1)**3*(z + 1)/9
Let x be 36/((-11)/(-9)*3). Factor -54/11*y**3 + x*y**2 - 72/11*y + 16/11.
-2*(3*y - 2)**3/11
Let l = 5/63 - -1/7. Determine p, given that -2/9*p**3 - l*p**4 + 2/3*p**2 + 4/9 + 10/9*p = 0.
-1, 2
Let b(z) be the second derivative of -z**5/4 + 25*z**4/12 - 35*z**3/6 + 15*z**2/2 + 26*z. Determine s, given that b(s) = 0.
1, 3
Let l be ((-6)/5)/(6/(-15)). Factor l + q + 0 - 1 - q**2.
-(q - 2)*(q + 1)
Suppose -5 = -4*z + b, -5*z - 5 = 11*b - 10*b. Factor 0*q + 15*q**5 - 12/5*q**2 - 3*q**4 - 48/5*q**3 + z.
3*q**2*(q - 1)*(5*q + 2)**2/5
Suppose 2*f - 2 = -2*m, 8 = f - m + 1. Let -1/2*p**2 + 0*p + 0 - f*p**4 - 7/2*p**3 + 8*p**5 = 0. What is p?
-1/4, 0, 1
Let z = 175/138 + 3/46. Factor -8/3*r - 4/3 - z*r**2.
-4*(r + 1)**2/3
Let u(g) be the first derivative of -g**4/6 + 4*g**3/9 + g**2/3 - 4*g/3 - 29. Factor u(x).
-2*(x - 2)*(x - 1)*(x + 1)/3
Let r = -9 + 11. Let v(y) be the second derivative of 0 - r*y**2 - 2/3*y**3 - 1/12*y**4 - 2*y. Suppose v(m) = 0. What is m?
-2
Let f be (-4)/6*(-9)/3. Factor 4*l**4 - l**2 + 2 - f*l**4 - 3*l**2.
2*(l - 1)**2*(l + 1)**2
Let t(i) be the second derivative of -3*i**5/80 - i**4/16 + i**3/8 - 4*i**2 + 8*i. Let l(d) be the first derivative of t(d). Factor l(g).
-3*(g + 1)*(3*g - 1)/4
Let o(u) be the first derivative of u**5/330 + u**4/132 + u**2 + 1. Let x(a) be the second derivative of o(a). Factor x(m).
2*m*(m + 1)/11
Let w be (-44)/(-12) + 1/(-3). Let k = -8/3 + w. What is h in k*h**3 + 2/3*h - 4/3*h**2 + 0 = 0?
0, 1
Let p = 2384 + -6889/3. Let u = -87 + p. Solve 1/3*t**2 - t + u = 0.
1, 2
Let f = 46 + -43. Let a(p) be the second derivative of 3/40*p**5 + 0 + 3/8*p**4 + 3/4*p**2 - f*p + 3/4*p**3. Factor a(q).
3*(q + 1)**3/2
Let q(t) = t**3 + 8*t**2 + 6*t + 3. Let v be q(-7). Let a be (-4)/(-10) - (-16)/v. Find h, given that -9*h**2 - 4*h**4 + a*h + 13*h**3 - h**4 - h**3 = 0.
0, 2/5, 1
Let p be (-13)/(-5) - (-4)/10. Let f(d) = 5*d**2 + 2*d - 1. Let q be f(1). Let 1 + t**4 + q*t**3 - 2*t**2 + 3*t - 4*t - 4*t**p - t**5 = 0. What is t?
-1, 1
Factor p**4 + 0 - p**2 + 1 - 1.
p**2*(p - 1)*(p + 1)
Let u(g) be the second derivative of g**6/15 - g**5/10 - g**4/6 + g**3/3 - 29*g. Factor u(h).
2*h*(h - 1)**2*(h + 1)
Let p = 3305/4428 + 4/1107. Let b be (-1 + 1)/(-1) - 0. Factor -p*x**3 + 0 + b*x + 0*x**4 + 0*x**2 + 3/4*x**5.
3*x**3*(x - 1)*(x + 1)/4
Let v = -1/88 + 183/616. Factor 0*u + 0 + 0*u**3 - 2/7*u**4 + 0*u**2 - v*u**5.
-2*u**4*(u + 1)/7
Let z(p) = -p + 1. Let x(l) = 12*l**2 - 9*l. Let b(s) = x(s) + 3*z(s). Factor b(q).
3*(2*q - 1)**2
Let j be 4/2*-1*(-6)/6. Let t(v) be the third derivative of v**j - 1/12*v**4 + 0 - 1/30*v**5 + 0*v**3 + 0*v. Factor t(x).
-2*x*(x + 1)
Suppose -9*h**2 - 19*h**4 + 15*h - 6*h**3 - 9*h**3 + 31*h**4 - 3 = 0. Calculate h.
-1, 1/4, 1
Factor 0 + 0*v - 2/7*v**3 + 10/7*v**2.
-2*v**2*(v - 5)/7
Let r(p) be the first derivative of p**8/378 + p**7/189 + p**6/540 - 5*p**2/2 - 2. Let s(d) be the second derivative of r(d). Find a such that s(a) = 0.
-1, -1/4, 0
Let b be (18/(-480))/((-18)/8). Let n(s) be the second derivative of -1/6*s**3 + 0 - 2*s + 0*s**5 + 0*s**2 - 1/8*s**4 + b*s**6. Let n(u) = 0. Calculate u.
-1, 0, 2
Solve 6/13*w - 2/13*w**2 - 4/13 = 0 for w.
1, 2
Suppose 6/5*v**4 - 8/5*v**2 + 4/5*v + 2/5 - 4/5*v**3 = 0. Calculate v.
-1, -1/3, 1
Let k(x) be the second derivative of -x**6/60 - x**5/30 + x**4/12 + x**3/3 - x**2/2 + 3*x. Let h(z) be the first derivative of k(z). Let h(o) = 0. What is o?
-1, 1
Let m = -9 + 23. Determine z so that z + 14 - z**3 - m = 0.
-1, 0, 1
Let v be -7 + 11 + (-14)/4. Let n(a) be the first derivative of -v*a**2 - 1/12*a**3 - a - 1. Factor n(w).
-(w + 2)**2/4
Let k(x) = 17*x**2 + 147*x + 43. Let q(h) = 18*h**2 + 148*h + 44. Let t(i) = 4*k(i) - 3*q(i). Find v, given that t(v) = 0.
-10, -2/7
Suppose n - 5*d - 11 = 2*n, 2*n = d - 11. Let q be (n/(-4))/(2/4). Factor -2*w**2 + w**2 + q*w - 1 - 5*w.
-(w + 1)**2
Let n(b) be the third derivative of 5*b**2 + 0 + 0*b**5 + 1/180*b**6 - 1/504*b**8 + 0*b**7 + 0*b**4 + 0*b + 0*b**3. Let n(k) = 0. What is k?
-1, 0, 1
Let f(j) = 4*j**3 + 3*j. Let v(l) = 7*l**3 + 5*l. Let n(r) = 5*f(r) - 3*v(r). Factor n(q).
-q**3
Suppose 4*m - 28 = 5*v, 4*v + 11 = m - 7. Find r such that -1/3*r**m + 0 + 0*r - 1/3*r**3 = 0.
-1, 0
Let w = -108 - -112. Let h(j) be the third derivative of 0 + 1/168*j**8 + 0*j**w + 0*j**3 + 0*j + 0*j**5 - 1/60*j**6 - 3*j**2 + 0*j**7. Factor h(u).
2*u**3*(u - 1)*(u + 1)
Let n be ((-2)/6)/((-2)/12). Solve -6*c**2 - 9*c - 4*c**n - 2*c**2 - 3*c**2 = 0.
-3/5, 0
Let p(q) be the first derivative of 0*q**3 - 1/6*q**4 + q**2 - 2*q - 1. Let w(g) be the first derivative of p(g). Determine s so that w(s) = 0.
-1, 1
Let c(z) be the third derivative of 0*z + 0*z**3 + 1/105*z**5 + 0 - 1/420*z**6 - 1/84*z**4 - 3*z**2. Suppose c(m) = 0. Calculate m.
0, 1
Solve -3/7*m**5 + 6/7*m**4 + 0*m - 6/7*m**2 + 0 + 3/7*m**3 = 0 for m.
-1, 0, 1, 2
Let 3/2 + 19/4*o + 1/4*o**3 + 17/4*o**2 - 3/4*o**4 = 0. What is o?
-1, -2/3, 3
Factor 1/5*v**2 + 0 + 0*v + 1/5*v**3.
v**2*(v + 1)/5
Let d(u) be the third derivative of -u**6/360 - u**5/90 + 17*u**2. Factor d(v).
-v**2*(v + 2)/3
What is t in -3*t**2 + 30*t**4 - 3*t**5 + 3*t**3 - 15*t**4 + 12*t**5 = 0?
-1, 0, 1/3
Let h(m) be the first derivative of 4/15*m**3 - 6 - 1/10*m**4 + 0*m - 1/5*m**2. Factor h(a).
-2*a*(a - 1)**2/5
Factor o**4 + 0 - 1/4*o + o**2 - 1/4*o**5 - 3/2*o**3.
-o*(o - 1)**4/4
Let g = -241 - -246. Factor 0*z**2 + 4/3*z**3 - 2/3*z**g + 0*z**4 - 2/3*z + 0.
-2*z*(z - 1)**2*(z + 1)**2/3
Let w(h) = h + 11. Let f be w(-6). Suppose 4*a - 5*j - 7 = -0, -2*a + 11 = 5*j. Factor -2*t**2 + 10 - 3*t**3 - 2*t - 8 + f*t**a.
2*(t - 1)**2*(t + 1)
Let l = 1 + 2. Suppose 15*v**2 + 2*v**2 + l*v**2 - 6*v**2 + 20*v + 6 = 0. Calculate v.
-1, -3/7
Suppose d**4 - 10*d**3 + 0*d**4 + 3*d**4 + 6*d**3 = 0. Calculate d.
0, 1
Let i be 6/(-21) - 16/(-7). Let -2*b**i - 3*b**3 - 3*b**3 + 4*b**3 = 0. What is b?
-1, 0
Let q = -3 + 6. What is f in -q*f - 11*f**3 - 5*f**5 - f**5 + 21*f**4 - 2*f**3 - 14*f**3 + 15*f**2 = 0?
0, 1/2, 1
Let b(x) be the second derivative of -x**4/4 + 3*x**2/2 + 10*x. Factor b(a).
-3*(a - 1)*(a + 1)
Factor 2*i**4 - i + 2*i**2 - 2*i - 4*i**3 + 3*i.
2*i**2*(i - 1)**2
Let q(y) = -y. Let a be q(-5). Suppose 0 = a*k - 5*z - 20, -k - 2*z + 12 = 2*k. Factor -11*i**3 + 0 - 12*i**k - 4*i**2 - 1/2*i - 9/2*i**5.
-i*(i + 1)**2*(3*i + 1)**2/2
Let n = 13 - 19. Let c be 0/1*(-3)/n. Factor -2/5 + c*p**3 + 4/5*p**2 - 2/5*p**4 + 0*p.
-2*(p - 1)**2*(p + 1)**2/5
Let v(a) be the third derivative of -a**7/735 + a**5/210 + 34*a**2. What is j in v(j) = 0?
-1, 0, 1
Let w(a) = -a + 1. Let j be w(-4). Suppose j*q - 15 = -0*q. Factor -2*d**q + d**5 + 0*d**5 + d**5.
2*d**3*(d - 1)*(d + 1)
Suppose 2*j - 4*p = -4, -j + p - 6 = 2*j. Let c = j - -4. Find a, given that -4/3*a + 2/3*a**c + 2/3 = 0.
1
Factor 0 + 4/7*z**2 - 2/7*z**4 + 0*z + 2/7*z**3.
-2*z**2*(z - 2)*(z + 1)/7
Let l be ((-24)/14)/(4/(-84)). Let s be (l/(-45))/(6/(-5)). Determine j, given that 2/3*j**3 - s*j - 1/3*j**4 + 1/3 + 0*j**2 = 0.
-1, 1
Let b be (6*4/(-108))/(-1). Factor b*a**2 - 8/9*a + 2/3.
2*(a - 3)*(a - 1)/9
Let l = 1 + 2. Let k = l - 1. Factor 2*z + 2*z**4 + 2*z**3 - k*z + 2*z**3 + 2*z**2.
2*z**2*(z + 1)**2
Let j = 4609/75 - -172/25. Let i = j - 67. Solve 0 - 2/3*s**3 - 2/3*s - i*s**2 = 0.
-1, 0
Let g(v) = 3*v**2 + 3*v. Let y be g(-1). Factor -3/2*k**2 + y*k + 3/2.
-3*(k - 1)*(k + 1)/2
Let z(a) = 88*a**2 + 216*a + 137. Let m(k) = -29*k**2 - 72*k - 46. Let d(v) = -7*m(v) - 2*z(v). Factor d(s).
3*(3*s + 4)**2
Let l = 6 - 3. Factor x**2 - x**l - 3*x**2 - x**3.
-2*x**2*(x + 1)
Let k(f) = -5*f**3 - 2*f**2 - 3*f - 3. Let g(z) = -4*z**3 - 2 - 5*z + 3*z - 4*z**2 + 2*z**2. Suppose -3*a = -5 - 1. Let x(u) = a*k(u) - 3*g(u). Factor x(t).
2*t**2*(t + 1)
Let j(t) be the second derivative of t**5/90 - 6*t. Factor j(w).
2*w**3/9
Let y(q) be the third derivative of -q**8/168 + 2*q**7/105 + q**6/60 - q**5/15 - 2*q**2. Find z such that y(z) = 0.
-1, 0, 1, 2
Let j(s) be the first derivative of -3/10*s**2 + 0*s - 1 + 1/5*s**3. Let j(y) = 0. Calculate y.
0, 1
Determine k, given that 4 - 2*k**2 + 0 + 2*k 