7*w**3 + 18*w - 32*w**3 + 40*w**4 = 0.
-2/5, -1/4, 1
Let z = -235 - -235. Factor z*v - 2/7*v**3 + 0*v**2 + 4/7*v**5 + 2/7*v**4 + 0.
2*v**3*(v + 1)*(2*v - 1)/7
Let i be 2*(-2)/14 + 185/35. Determine z so that -9/7*z**4 + 6/7*z**3 + 3/7*z**i + 3/7 - 9/7*z + 6/7*z**2 = 0.
-1, 1
Let p(y) be the third derivative of y**5/140 - y**4/7 + y**3/2 - 13*y**2. Let p(l) = 0. Calculate l.
1, 7
Let v be 2/(-9) - (-286)/504. Let r = v + -2/21. Suppose 1/4*j**2 - r*j + 0 = 0. Calculate j.
0, 1
Let i(v) be the second derivative of -v**5/10 + 3*v**4/2 - 5*v**3 - 25*v**2 - v. Factor i(n).
-2*(n - 5)**2*(n + 1)
Let p(h) = h**2 + 8*h + 7. Let s be p(-13). Let f be (-6)/8 + 78/s. Let 2/3*w**4 + f*w - 1/3*w**5 + 0*w**3 - 2/3*w**2 + 0 = 0. What is w?
-1, 0, 1
Let a(y) be the first derivative of y**4/22 + 8*y**3/33 + 25. Factor a(f).
2*f**2*(f + 4)/11
Let k be ((-2 - -3)*-7)/(-1). Let -k*b**2 + 3*b**2 + b**2 - 4*b**3 + 8*b**3 - b = 0. Calculate b.
-1/4, 0, 1
Let n(z) be the second derivative of z**7/42 - z**6/60 - z**5/12 + z**4/12 + z**2/2 + 3*z. Let q(w) be the first derivative of n(w). Factor q(m).
m*(m - 1)*(m + 1)*(5*m - 2)
Find d such that -3*d**2 + 3*d**3 + 3*d**3 - 7*d**3 + 8*d**2 + 6*d = 0.
-1, 0, 6
Suppose 2/3 - 2/9*k**2 + 4/9*k = 0. What is k?
-1, 3
Factor z**3 + 1/2*z**4 - 1/2*z**5 - z**2 + 1/2 - 1/2*z.
-(z - 1)**3*(z + 1)**2/2
Let x(u) be the first derivative of -4*u**2 - 1 + 5*u**2 - u**3 - 5 - 4*u**2. Find m such that x(m) = 0.
-2, 0
Let p be (-539)/(-165) - (-6)/(-4)*2. Find k such that -2/5*k**2 - p*k + 0 - 2/15*k**3 = 0.
-2, -1, 0
Let j = 2 + 0. Let x be ((-2)/(-12))/(1/j). Let 2/3*w + x + 1/3*w**2 = 0. What is w?
-1
Let t(g) be the first derivative of 2*g**3/3 - g**2 - 4*g + 6. Factor t(o).
2*(o - 2)*(o + 1)
Suppose -2*h - 6 = -h + 2*x, 33 = 2*h - 5*x. Let d(b) be the second derivative of 1/72*b**h + 3*b + 1/12*b**3 + 1/6*b**2 + 0. Let d(k) = 0. What is k?
-2, -1
Let o = -7282 + 35604/5. Let m = o + 162. Factor -1/5*i**3 + 0 - m*i - 4/5*i**2.
-i*(i + 2)**2/5
Let o(w) be the first derivative of -w**8/420 + w**7/420 - w**6/1440 - 2*w**3/3 - 4. Let z(v) be the third derivative of o(v). Let z(s) = 0. Calculate s.
0, 1/4
Let j(o) be the second derivative of 4/3*o**3 - 1/45*o**6 + 8/3*o**2 + 0 + 5*o - 1/10*o**5 + 1/9*o**4. Determine y, given that j(y) = 0.
-2, -1, 2
Solve 2/3*v - 4/9 - 2/3*v**3 + 4/9*v**2 = 0.
-1, 2/3, 1
Let d = -98 - -199/2. What is g in 4*g - g**3 - 2 + 1/2*g**4 - d*g**2 = 0?
-2, 1, 2
Let c(u) be the second derivative of 5*u + 0*u**2 + 0 - 1/105*u**6 + 1/35*u**5 - 1/42*u**4 + 0*u**3. Factor c(g).
-2*g**2*(g - 1)**2/7
Let f(q) = q**5 + q**3 + 3*q**2 - 2*q + 3. Let n(b) = -2*b**5 - 4*b**3 - 8*b**2 + 6*b - 8. Let m(p) = -8*f(p) - 3*n(p). Factor m(d).
-2*d*(d - 1)**2*(d + 1)**2
Let u(x) = 5*x**3 + x**2 - 2*x. Let p(q) = -q**2. Let d = -7 - -11. Let k(o) = d*p(o) + u(o). Suppose k(v) = 0. What is v?
-2/5, 0, 1
Let -25*r**5 + 23*r**3 + 35*r**4 - 35*r**2 - 8*r**3 - 7*r + 17*r = 0. Calculate r.
-1, 0, 2/5, 1
Let l(o) = 7*o**2 - 2*o - 2. Let k(h) = 8*h**2 - 2*h - 2. Let m(c) = 3*k(c) - 4*l(c). Let t(a) = 5*a**2 - 2*a - 3. Let y(v) = -4*m(v) - 3*t(v). Factor y(s).
(s - 1)**2
Let k(h) = -h**5 + 2*h**4 - h**3 + 2*h**2 - h + 2. Let p(n) = n**5 - 3*n**4 + 2*n**3 - 2*n**2 + n - 3. Let y(o) = -4*k(o) - 3*p(o). Find t, given that y(t) = 0.
-1, 1
Suppose 4*n = -0*n + 8. Let z be ((-3)/9)/(n/(-24)). Let -14*q**2 - 2*q - 39*q**4 + 13*q**z - 8*q**5 + q**3 - 31*q**3 = 0. Calculate q.
-1, -1/4, 0
Let n(p) = -p + 26. Let h be n(0). Let x = h - 23. Factor -4/9*s + 0 - 10/9*s**2 - 2/3*s**x.
-2*s*(s + 1)*(3*s + 2)/9
Let p(f) be the third derivative of -f**7/42 + f**6/8 - f**5/4 + 5*f**4/24 - 6*f**2. Suppose p(q) = 0. What is q?
0, 1
Let t(a) be the third derivative of a**6/280 - a**5/140 - 5*a**4/56 - 3*a**3/14 + 28*a**2. Factor t(g).
3*(g - 3)*(g + 1)**2/7
Let w be 2 + (-16)/9*1. Determine k, given that 0 - 2/9*k**3 + 0*k**2 + w*k = 0.
-1, 0, 1
Let c = -6/7 - -43/42. Let j(g) be the first derivative of 0*g - 1/4*g**2 + c*g**3 - 1. Determine n so that j(n) = 0.
0, 1
Let i(j) = -j**2 - j - 1. Let q(w) = 4*w**2 + 19*w + 28. Let m(h) = i(h) + q(h). Factor m(g).
3*(g + 3)**2
Suppose 0 = -u - 3*u + 20. Factor 0*b**u - 3*b**3 + 2*b + 2*b**5 - b**3.
2*b*(b - 1)**2*(b + 1)**2
Let b be 60/18 + 5 + -4 + -1. Suppose 0 - b*k**5 + 4/3*k**2 + 10/3*k**3 + 0*k - 4/3*k**4 = 0. Calculate k.
-1, -2/5, 0, 1
Factor 1 + 8 + 3 + 15*h + 5*h**2 - 2.
5*(h + 1)*(h + 2)
Let i = -2 - -2. Suppose -4/9*y**2 + 2/9 + 0*y + 2/9*y**4 + i*y**3 = 0. What is y?
-1, 1
Let l be (4/50)/(312/65). Let u(f) be the third derivative of 0*f**5 - 1/300*f**6 + 0 + 0*f - 2*f**2 + 0*f**3 + l*f**4. Factor u(z).
-2*z*(z - 1)*(z + 1)/5
Let 0 + 0*s + 2/5*s**3 - 2/5*s**2 + 2/5*s**4 - 2/5*s**5 = 0. Calculate s.
-1, 0, 1
Let n(i) be the second derivative of -2*i**7/21 + 4*i**6/5 - 12*i**5/5 + 8*i**4/3 + 12*i. Solve n(o) = 0 for o.
0, 2
Let s be 50/(-120) + 3/4. Suppose -1/3 - s*c**2 + 2/3*c = 0. Calculate c.
1
Let q be (-6)/3 - (-10 - -2). Suppose o - 6*o - q = -2*j, -6 = -5*o - 2*j. Factor -2/7*d - 10/7*d**2 + o.
-2*d*(5*d + 1)/7
Suppose 0 = 2*f - 0*f - 8. Factor 0*l**3 + 0*l + 2 - 4*l + f*l**3 - 2*l**2.
2*(l - 1)*(l + 1)*(2*l - 1)
Factor -1/2*t**2 - 1/2*t + 0.
-t*(t + 1)/2
Determine z so that 8/3 + 4*z**2 - 20/3*z + 4/3*z**3 - 4/3*z**4 = 0.
-2, 1
Find u, given that -2/3*u + 0 - 1/3*u**2 = 0.
-2, 0
Let d(c) be the first derivative of -c**7/210 + c**6/120 + c**5/60 - c**4/24 - c**2 - 3. Let s(x) be the second derivative of d(x). Factor s(q).
-q*(q - 1)**2*(q + 1)
Let y(i) be the third derivative of 0*i**3 + 0*i**4 - 2*i**2 + 1/60*i**6 + 0 + 0*i**5 + 0*i - 1/210*i**7. Factor y(o).
-o**3*(o - 2)
Let c be (7/(-2))/((-1)/2). Suppose -5*h - c = k - 0, 0 = -h + 2*k - 8. Let x(n) = -n**4. Let f(r) = -8*r**4 - r**2. Let z(q) = h*f(q) + 18*x(q). Factor z(s).
-2*s**2*(s - 1)*(s + 1)
Let i = -79/48 + 923/560. Let k(g) be the third derivative of 0 - 1/60*g**5 + 0*g + 0*g**4 + i*g**7 + 1/12*g**3 + 0*g**6 - 3*g**2. Let k(h) = 0. Calculate h.
-1, 1
Let k be -1 + 4 - (-2 + -1). Let y(x) = -2*x**5 - 6*x**4 - 6*x**2 + 6*x + 6. Let g(l) = -l**4 - l**2 + l + 1. Let i(d) = k*g(d) - y(d). Factor i(h).
2*h**5
Let l = 2 - -2. Suppose 0 = -2*b - 2*y - l, b + 5*y = 2*b - 22. Suppose r - 64*r**4 + 6*r + 16*r**3 + 4*r + 1 + 36*r**b = 0. What is r?
-1/4, 1
Let p(s) be the second derivative of -s**6/1800 + s**3/2 + s. Let f(h) be the second derivative of p(h). Find r, given that f(r) = 0.
0
Let h(i) be the first derivative of i**9/336 + i**8/280 - i**7/280 - 2*i**3/3 + 1. Let o(p) be the third derivative of h(p). Let o(c) = 0. What is c?
-1, 0, 1/3
Let u(b) be the third derivative of b**6/40 - b**4/8 + 6*b**2. Determine i so that u(i) = 0.
-1, 0, 1
Let q(s) = 22*s**2 + 21*s - 11. Let m = -5 + 10. Let h(x) = 87*x**2 + 84*x - 45. Let p(g) = m*h(g) - 21*q(g). Factor p(t).
-3*(t + 1)*(9*t - 2)
Let m(i) be the second derivative of i**10/30240 + i**9/3780 + i**8/1344 + i**7/1260 + i**4/12 + 2*i. Let b(g) be the third derivative of m(g). Factor b(r).
r**2*(r + 1)**2*(r + 2)
Determine j so that 0 + 3*j**4 - 3/2*j**5 - 6*j - 6*j**2 + 9/2*j**3 = 0.
-1, 0, 2
Let o(w) = 2*w**4 - 4*w**3 + 7*w**2 + w + 3. Let p(z) = z**4 - z**3 + z**2 - z + 1. Let k(r) = 2*o(r) - 6*p(r). Factor k(u).
-2*u*(u - 2)*(u + 1)*(u + 2)
Determine t so that 3*t**5 + 0*t**3 - 3*t + 0 + 15/2*t**2 - 15/2*t**4 = 0.
-1, 0, 1/2, 1, 2
Let l = -116 - -116. Find b, given that -1/3*b**2 + 0 + 4/3*b**4 - 1/6*b**3 - 5/6*b**5 + l*b = 0.
-2/5, 0, 1
Factor -5*z**3 - 10*z**2 + 0*z**3 + 5 + 0 + 5 + 5*z.
-5*(z - 1)*(z + 1)*(z + 2)
Suppose -21*r = -10*r. Factor 0*n**2 + 2/7*n**3 + r + 0*n + 2/7*n**4.
2*n**3*(n + 1)/7
Suppose 2*g = 3*g. Let 0*x**2 + 8*x**2 - 5*x**3 + x**4 - 4*x + g*x**2 = 0. Calculate x.
0, 1, 2
Let k(s) be the second derivative of -s**7/420 + s**6/180 + s**5/60 - s**4/4 - s. Let r(u) be the third derivative of k(u). Let r(z) = 0. Calculate z.
-1/3, 1
Let m be (3 + (3 - 6))/(-3). Let s(o) be the second derivative of m*o**3 + 0 + o**2 - 1/6*o**4 - o. Factor s(j).
-2*(j - 1)*(j + 1)
Suppose -2*k = -0*k - 4. Solve 2*c - 4/3 - 2/3*c**k = 0 for c.
1, 2
Let h(t) be the first derivative of 9/10*t**5 + 0*t + 3/2*t**4 - 2 + 0*t**2 + 2/3*t**3. Factor h(d).
d**2*(3*d + 2)**2/2
Let r(x) be the third 