z.
-(z - 2)*(z + 1)/3
Let i(m) = m + 1. Let w be (-4)/6*-3*1. Let l be 2*w*3/(-6). Let y(q) = 2*q**2 - 4*q - 6. Let u(j) = l*i(j) - y(j). Factor u(v).
-2*(v - 2)*(v + 1)
Let t(g) be the second derivative of g**8/560 - g**7/280 - 2*g**3/3 - 4*g. Let s(x) be the second derivative of t(x). Suppose s(w) = 0. What is w?
0, 1
Let v(r) be the first derivative of -r**7/3360 - r**6/480 - r**5/160 - r**4/96 - r**3 + 3. Let a(u) be the third derivative of v(u). Factor a(o).
-(o + 1)**3/4
Factor 3/5*r**4 + 6/5*r**3 - 6/5*r + 0*r**2 - 3/5.
3*(r - 1)*(r + 1)**3/5
Suppose -q = -5*l - 3*q + 21, -5*l = -5*q. Determine g, given that 4*g + 9*g**4 - g**4 - 14*g**3 + 2*g**l = 0.
-1/2, 0, 1
Let q(z) be the second derivative of 9*z**5/70 - 10*z**4/7 + 37*z**3/21 - 6*z**2/7 + 12*z. Suppose q(i) = 0. Calculate i.
1/3, 6
Let n be (1 - 1 - 2 - -2) + 2. Let a(d) be the second derivative of 0 + 1/7*d**3 + 1/7*d**n + 1/14*d**4 + 1/70*d**5 - 3*d. Suppose a(m) = 0. What is m?
-1
Let b(h) be the second derivative of 0 + 1/4*h**4 - 3/20*h**5 + 0*h**3 - 1/5*h**6 + h + 0*h**2. Suppose b(g) = 0. What is g?
-1, 0, 1/2
Let j be ((-12)/10)/((-3)/10). Factor -10*p**4 - 4*p**4 - j*p**3 + 5*p - p + 4*p**2 + 10*p**2.
-2*p*(p - 1)*(p + 1)*(7*p + 2)
Find j such that 4/7*j + 6/7*j**2 + 0 - 24/7*j**3 + 2*j**4 = 0.
-2/7, 0, 1
Let r = 228 - 228. Factor 1/3*b**4 - b**2 - 2/3*b + r + 0*b**3.
b*(b - 2)*(b + 1)**2/3
Solve 10/7*l + 4/21*l**2 - 4/3*l**3 - 2/21*l**5 + 2/3*l**4 - 6/7 = 0 for l.
-1, 1, 3
Let o(f) be the second derivative of f**5/20 + f**3/6 - f**2/2 + 5*f. Let l(s) = s**4 + 2*s**3 + 3*s**2 + 1. Let t(q) = -2*l(q) - 2*o(q). Factor t(h).
-2*h*(h + 1)**3
Let o be 2/5 + 26/10. Solve -13*y**3 + 5*y**3 - 4*y**2 + 6*y**o = 0 for y.
-2, 0
Suppose 3*k - 6 = 3. Factor 0*d**4 + 0*d**4 + 0*d**2 - d**4 - d**2 + 2*d**k.
-d**2*(d - 1)**2
Let v = 0 - -3. Suppose 2*q + 5*t = 23, 3*t - 8*t = -3*q - v. Determine p so that -4*p**3 + p**3 - 10*p**q - p**3 = 0.
-2/5, 0
Let u(z) be the first derivative of z**5/20 + 7*z**4/12 + 5*z**3/2 + 9*z**2/2 + 7*z - 1. Let a(x) be the first derivative of u(x). Find o, given that a(o) = 0.
-3, -1
Let g(l) = -l**3 + l**2 + 5*l - 4. Let d be g(3). Let z(k) = -k**2 - 8*k - 7. Let y be z(d). Factor y*w**3 + w - 2*w**4 + w**2 + w**2 - w**5 + 0*w**3.
-w*(w - 1)*(w + 1)**3
Let i = -20 - -16. Let a be ((-4)/(-18))/(i/(-36)). Find t such that 0 + 2/7*t**4 - 2/7*t**3 + 0*t**a + 0*t = 0.
0, 1
Let v(b) be the second derivative of 0 + 1/42*b**4 + 1/21*b**3 - 1/70*b**5 - 1/7*b**2 - 2*b. Solve v(z) = 0.
-1, 1
Let k(l) = -l**2 + l + 2. Let u be k(5). Let d be (-148)/u + (-2)/9. Suppose 3 + 5 - d*n + 0*n**2 + 2*n**2 = 0. What is n?
2
Let n = 68 + -12. Let b = 80 - n. Suppose s**5 - 78*s**3 - 10*s**5 - 39*s**4 - 57*s**2 - 4 - b*s + 11*s**3 = 0. Calculate s.
-1, -2/3
Let z(u) be the second derivative of 7*u + 2/15*u**5 + 1/15*u**6 + 0*u**2 + 0 - 2/9*u**3 - 1/18*u**4. Find f, given that z(f) = 0.
-1, 0, 2/3
Find o such that -3/7 + 3/7*o**2 + 0*o = 0.
-1, 1
Determine o so that 3*o**4 - 4*o - o - 9*o**3 + 26*o**2 + 2*o - 17*o**2 = 0.
0, 1
Let n(p) be the second derivative of 5*p**4/12 - 25*p**3/3 + 125*p**2/2 - 6*p. Suppose n(r) = 0. What is r?
5
Let t(u) be the second derivative of 3*u**5/4 + 215*u**4/12 + 805*u**3/6 + 245*u**2/2 - 30*u. Factor t(b).
5*(b + 7)**2*(3*b + 1)
Let v(t) be the second derivative of 16*t**4/5 - 8*t**3/5 + 3*t**2/10 - t. Factor v(c).
3*(8*c - 1)**2/5
Suppose -4/7*a**4 + 0 + 0*a - 2/7*a**3 + 0*a**2 - 2/7*a**5 = 0. What is a?
-1, 0
Let f(k) = 4 + 4*k + 3 - 3. Let v be f(5). Let 177*y**2 + 30*y**2 - v*y + 21*y**2 + 1095*y**4 - 525*y**5 - 774*y**3 = 0. Calculate y.
0, 2/7, 2/5, 1
Let q(t) = 12*t**2 - 6*t - 2. Let l(n) = 23*n**2 - 12*n - 3. Let p(o) = -3*l(o) + 5*q(o). Factor p(h).
-(3*h - 1)**2
Let b(y) = y - 2. Let m be b(-11). Let a(d) = -d**3 - 12*d**2 + 13*d. Let r be a(m). Suppose 2/5*s**2 + 0 + 0*s**3 + r*s - 2/5*s**4 = 0. Calculate s.
-1, 0, 1
Suppose -22*w = -36 - 52. Factor -3/7*u**5 + 0 - 12/7*u**w + 0*u - 12/7*u**3 + 0*u**2.
-3*u**3*(u + 2)**2/7
Let l = -39/10 + 42/5. Determine u, given that 0 - l*u**3 + 2*u**4 - 1/2*u + 3*u**2 = 0.
0, 1/4, 1
Let z(j) = -3*j**4 - 3*j**3 + 9*j**2 + j - 4. Let b(c) = -c + 1. Let m(l) = -2*b(l) + z(l). Factor m(q).
-3*(q - 1)**2*(q + 1)*(q + 2)
Let x(l) be the third derivative of l**8/84 + 4*l**7/105 + l**6/30 - 7*l**2. Factor x(h).
4*h**3*(h + 1)**2
Let x(g) = 3*g - 2. Let d be x(2). Let p be (-4)/(-2) - (2 - 2). Suppose 2*a**3 + 3*a**2 + 2*a**4 - d*a**p - 3*a**2 = 0. What is a?
-2, 0, 1
Let c(l) be the first derivative of l**4/3 - 11*l**3/6 - 3*l**2/2 + 5*l + 4. Let k(a) be the first derivative of c(a). Suppose k(y) = 0. What is y?
-1/4, 3
Let f(t) be the third derivative of t**5/30 + t**4/6 + t**3/2 + 14*t**2. Let v be f(-2). Factor 32/3*c + 16/3 + 1/3*c**4 + 8/3*c**v + 8*c**2.
(c + 2)**4/3
Factor 0*t - 2/11*t**3 - 14/11*t**2 + 0.
-2*t**2*(t + 7)/11
Factor 7/2*z**2 - 7 + 47/2*z.
(z + 7)*(7*z - 2)/2
Let o(k) be the second derivative of -3/10*k**6 + 0 - k - 33/20*k**5 - 2*k**4 + 0*k**2 + 2*k**3. Let o(l) = 0. Calculate l.
-2, 0, 1/3
Let h(g) be the third derivative of 0*g**3 - 1/420*g**7 + g**2 + 0*g + 0*g**5 + 0*g**4 + 0*g**6 + 0. Factor h(m).
-m**4/2
Let i be 12/6*((-3)/2)/(-1). Find j such that 0*j**2 - 1/6*j**4 + 0 + 0*j + 1/6*j**i = 0.
0, 1
Let o(h) be the first derivative of -1/6*h**3 + 3/4*h**2 + 0*h + 4. Factor o(l).
-l*(l - 3)/2
Let m(j) = 4*j**5 + 10*j**3 + 7*j - 7. Let r(i) = -3*i**5 + 5 + i**3 - 4*i - i - 8*i**3 + 0*i. Let q(f) = -5*m(f) - 7*r(f). Factor q(o).
o**3*(o - 1)*(o + 1)
Let t be (8/(-40))/((-24)/(-15) - 2). Determine s, given that -t*s**2 - 9/2 - 3*s = 0.
-3
Factor 2 + 71*x - 2 - x**3 - x**2 + x**4 - 70*x.
x*(x - 1)**2*(x + 1)
Let p = -1 - -4. Suppose 12*f + 2*f**4 + 7*f**2 - 2 + 12*f**p + 11*f**2 + f**4 + 5 = 0. Calculate f.
-1
Let g(x) be the second derivative of x**5/70 - x**3/21 + 17*x. Suppose g(s) = 0. Calculate s.
-1, 0, 1
Let r = 4 - 2. Suppose r*s - 7*s + 2*i = 0, 0 = i - 5. Find q, given that q**4 - s*q**4 - q**2 + 2*q**3 + 4*q**4 = 0.
-1, 0, 1/3
Let f be (40/(-12))/5*-6 - 4. Find q such that -2*q**3 + 14/5*q**2 + f - 4/5*q = 0.
0, 2/5, 1
Let p(i) be the second derivative of 2*i**6/15 + 17*i**5/10 + 13*i**4/2 + 8*i**3/3 - 16*i**2 - 10*i. Factor p(r).
2*(r + 1)*(r + 4)**2*(2*r - 1)
Let x be 5 + -2 + -2*1. Let j = 3 - x. Let -3*o - o + o**j + 3*o = 0. Calculate o.
0, 1
Let n(h) be the first derivative of -h**3 - 3*h**2/2 + 6*h + 10. Factor n(l).
-3*(l - 1)*(l + 2)
Factor -16/3 - 8/3*q - 1/3*q**2.
-(q + 4)**2/3
Let a = -361 + 12997/36. Let h(z) be the second derivative of -2*z + 1/18*z**3 - a*z**4 + 0*z**2 + 0. Factor h(v).
-v*(v - 1)/3
Let i(j) be the first derivative of -j**4/12 - j**3/3 - j**2/3 + 1. Determine b, given that i(b) = 0.
-2, -1, 0
Let h(t) be the first derivative of -169*t**4/4 - 182*t**3/9 + 46*t**2/3 - 8*t/3 + 5. Let h(n) = 0. What is n?
-2/3, 2/13
Let s = -588 - -590. Let 1/3 + s*z + 3*z**2 = 0. What is z?
-1/3
Suppose 0 = n + 3, 6*g - 2*g - 23 = 5*n. Factor 3*d**3 + 3*d + 6*d**g + 1 + 2 - 3.
3*d*(d + 1)**2
Let t(s) be the first derivative of -2*s**5/5 + 3*s**4/2 - 2*s**3/3 - 3*s**2 + 4*s + 31. What is g in t(g) = 0?
-1, 1, 2
Let t(a) = 2*a - 40. Let v be t(21). Suppose 1/2*j**5 + 1/2*j**4 - 1/2*j**3 + 0*j + 0 - 1/2*j**v = 0. Calculate j.
-1, 0, 1
Let p(l) = -24*l**2 - l + 7. Let k(j) = 11*j**2 + j - 4. Let z(c) = 13*k(c) + 6*p(c). Let z(h) = 0. What is h?
2, 5
Let q(z) = -z**5 - 7*z**4 - 7*z**3 + 3*z**2. Let a(f) = 6*f**5 + 48*f**4 + 48*f**3 - 21*f**2. Let o(c) = -4*a(c) - 27*q(c). Let o(r) = 0. Calculate r.
-1, 0, 1
Suppose 6*i - i + 15 = 0. Let y be (-12)/i*(-1)/(-2). Factor -y*o**4 - 3 + 4*o**2 + 4 - 2*o**3 - 1.
-2*o**2*(o - 1)*(o + 2)
Suppose 0 = -11*k - 13 + 46. Let f(s) be the second derivative of -1/20*s**5 + 7/36*s**4 + 0*s**3 - k*s - 2/3*s**2 + 0. Solve f(m) = 0.
-2/3, 1, 2
Let l = 88/15 + -26/5. Let t(m) = -m**3 + 29*m**2 + 32*m - 56. Let a be t(30). Solve 1/2*y**2 - 1/6*y**a - 1/3*y**3 + l*y - 2/3 = 0.
-2, 1
Solve 0 - 2/5*w**4 + 0*w**3 + 6/5*w**2 + 4/5*w = 0 for w.
-1, 0, 2
Let n = -5 + 10. Suppose -n*h + 9*h = 0. Factor h*y + 2/5*y**3 + 2/5*y**4 + 0*y**2 + 0.
2*y**3*(y + 1)/5
Let f(d) be the second derivative of 3*d + 0*d**3 - 1/10*d**5 + 0 + 0*d**2 + 0*d**4 + 