9*v - 1. Let u be r(-1). Let s be -3 - ((-28)/u - 1). Factor s*w**3 + 7/2*w + 1 + 4*w**2.
(w + 1)**2*(3*w + 2)/2
Let u(p) = -4*p - 29. Let d be u(-8). Let o(g) be the first derivative of 3/4*g**2 + 1/2*g + 1/8*g**4 + 1/2*g**d + 3. Find f such that o(f) = 0.
-1
Suppose -3*o + 6 = -2*d - o, -3*d - 5 = -o. Let q(a) = -a**2 - 5*a - 4. Let p(j) = -j**2 - j. Let x(h) = d*p(h) - q(h). Factor x(n).
2*(n + 1)*(n + 2)
Let l = -3 + 6. Factor -13*b**2 - b**l - b**4 + 13*b**2.
-b**3*(b + 1)
Let t(a) be the second derivative of -a**9/1512 + a**8/840 + a**3/6 - 3*a. Let s(q) be the second derivative of t(q). Factor s(i).
-2*i**4*(i - 1)
Let d(a) be the second derivative of -1/55*a**5 - a + 1/33*a**7 - 1/33*a**6 + 0*a**2 + 0*a**4 + 0*a**3 + 0. Solve d(v) = 0.
-2/7, 0, 1
Suppose -7 = -3*i - 1. Let l = 4 - 2. Solve -v**2 - v**i - v + l + v**2 = 0 for v.
-2, 1
Let v be (-813)/18 - (-4)/24. Let p be (-87)/v + (-9)/15. Let 2/3*s**2 - 2*s**3 + 2/3*s**5 + 0 - 2/3*s**4 + p*s = 0. Calculate s.
-1, 0, 1, 2
Suppose -5*n + 4*x = 67 + 73, -2*n - 4*x - 56 = 0. Let f be (-16)/n*(-14)/(-4). Solve 1/2*u - 1/2*u**3 - 1/2 + 1/2*u**f = 0.
-1, 1
Let m(y) be the second derivative of 1/48*y**4 - 1/4*y**3 + 0 - 3*y + 9/8*y**2. Let m(l) = 0. What is l?
3
Let d = -3107/4 + 777. Factor d*h**5 + 0 - 1/4*h + 0*h**3 + 1/2*h**2 - 1/2*h**4.
h*(h - 1)**3*(h + 1)/4
Let x be 241/6 + 5/(-30). Let f be 20/(-22)*(-16)/x. Determine t, given that 54/11*t + f + 864/11*t**4 + 284/11*t**2 + 720/11*t**3 + 378/11*t**5 = 0.
-1, -1/3, -2/7
Let h = 3 + 0. Let g(s) = -4*s**3 - 2*s**2 - 2*s - 1. Let a be g(-1). Find u such that -4*u**5 + 2*u**5 + 3*u**a - 2*u + u**h = 0.
-1, 0, 1
Let b be ((-14)/12)/((-24)/(-36)) + 2. Let y(q) = q - 1. Let p be y(1). Factor -1/4*n**2 + 0 - 3/4*n**4 - b*n**5 + p*n - 3/4*n**3.
-n**2*(n + 1)**3/4
Find b such that 16*b**3 - 8*b**4 - 22*b**4 + 8 - 36*b - 18*b**4 + 20*b**5 + 40*b**2 = 0.
-1, 2/5, 1
Suppose -6*g + 45 = -11*g. Let m be 12/42*(-7)/g. Factor m*r**2 + 2/9*r + 0.
2*r*(r + 1)/9
Suppose 3*j + 5*x + 19 = -0*j, -24 = -2*j + 4*x. Factor -q**2 - 3*q - q**2 - 2 + 4 + 3*q**j.
(q - 2)*(q - 1)
Suppose -4*p - 2*n - 13 = -11, 5*p + 1 = -n. Factor -4/9*g**2 + p + 0*g + 1/9*g**3.
g**2*(g - 4)/9
Suppose o = 102 - 100. Factor 8/5 - 1/5*n**3 - 12/5*n + 6/5*n**o.
-(n - 2)**3/5
Let w(g) be the first derivative of g**4/54 - 2*g**3/27 + g**2/9 - 2*g - 1. Let a(b) be the first derivative of w(b). Factor a(y).
2*(y - 1)**2/9
Let k(j) be the third derivative of -j**5/240 + j**4/16 + 7*j**3/24 - 37*j**2. Factor k(i).
-(i - 7)*(i + 1)/4
Let r be -1 + (-5)/3 + 1 + 2. Find k, given that -1/3*k**2 + 2/3 + r*k = 0.
-1, 2
Let w(k) be the second derivative of 2*k**3/3 - k. Let c be w(1). Suppose 3*b + 0*b**4 - b**c - 4*b + b**3 + b**2 = 0. Calculate b.
-1, 0, 1
Let k(y) = 0*y - 6*y**2 - 2*y + 4*y**2. Let r be k(-1). Factor r + 0*f - 1/4*f**2 + 3/4*f**3.
f**2*(3*f - 1)/4
Let h(d) be the second derivative of d**4/3 - d**3/3 - d**2 - 9*d. Find v, given that h(v) = 0.
-1/2, 1
Let r be -4 + 4 + (-2 - 1). Let m = r - -6. Determine s so that 4/5*s**m + 4/5*s**2 + 2/5 - 6/5*s + 2/5*s**5 - 6/5*s**4 = 0.
-1, 1
Suppose 2*p**4 - 8*p**3 + 2*p**3 - 5*p**4 = 0. What is p?
-2, 0
What is y in 5*y**3 + y - 7*y + 8*y**2 - 7*y**3 = 0?
0, 1, 3
Suppose 16*u - 105 = -9. Let f(o) be the third derivative of 0*o**4 + 0*o**3 + 0 + 1/60*o**u + 0*o**5 + 0*o - 1/105*o**7 - o**2. Factor f(d).
-2*d**3*(d - 1)
Suppose 0 = -13*m + 14*m - 2. Find w such that -w**m - 5*w**5 + 32*w**3 + 4*w**5 + w**4 - 29*w**3 - 2*w = 0.
-1, 0, 1, 2
Let a(q) = 9*q**3 - q**2 - 9*q - 7. Suppose -4*s + 4 = 3*f, 3*f + 5*s - 1 - 7 = 0. Let d(n) = -9*n**3 + 9*n + 6. Let b(g) = f*d(g) - 3*a(g). Factor b(h).
3*(h - 1)*(h + 1)*(3*h + 1)
Suppose 5*v = 2*v. Let x(n) be the second derivative of 0 + 0*n**2 + 1/120*n**6 - 1/80*n**5 - 2*n + v*n**4 + 0*n**3. Let x(h) = 0. What is h?
0, 1
Let y be 0 - (50/15 + -4). Solve -16/9*d**2 + 8*d**5 + 0 - 70/9*d**3 + y*d**4 + 8/9*d = 0.
-2/3, 0, 1/4, 1
Let l = 4/25 - -14/225. Determine t so that 0*t + 0 + 0*t**4 + l*t**3 + 0*t**2 - 2/9*t**5 = 0.
-1, 0, 1
Let y(t) be the third derivative of -5/96*t**4 - 10*t**2 + 0*t + 1/240*t**5 + 1/6*t**3 + 0. Solve y(k) = 0 for k.
1, 4
Let t be 4/((-20)/3) - (0 - 1). Solve 2/5*w**2 - 2/5*w**3 + 0*w + 0 + 2/5*w**5 - t*w**4 = 0.
-1, 0, 1
Let c(a) be the second derivative of 4*a + 0 - 1/10*a**5 - 2*a**2 - 5/3*a**3 - 2/3*a**4. Determine m so that c(m) = 0.
-2, -1
Let h(n) be the first derivative of -2*n**6/9 + 2*n**5/15 + n**4/3 - 2*n**3/9 - 5. Solve h(r) = 0 for r.
-1, 0, 1/2, 1
Let g(v) be the third derivative of -v**5/75 + 14*v**4/15 - 392*v**3/15 - 26*v**2. Determine q so that g(q) = 0.
14
Let j(l) be the third derivative of -1/60*l**5 + 0*l + 1/12*l**4 + 0*l**3 + 5*l**2 + 0. Determine w so that j(w) = 0.
0, 2
Let n(v) be the second derivative of v**6/40 + 3*v**5/20 + v**4/4 - v**2/2 - 7*v. Let y(x) be the first derivative of n(x). Find z such that y(z) = 0.
-2, -1, 0
Let k(j) be the second derivative of -1/4*j**4 + 0 + 0*j**2 + j + j**3. Factor k(p).
-3*p*(p - 2)
Suppose -9*o**2 + 3*o + 6*o**4 + 6 + 0*o**4 - 3*o**3 - 3*o**4 = 0. What is o?
-1, 1, 2
Suppose -2 - 3*j**2 + 3*j**2 + j**2 - 4*j - 3*j**2 = 0. What is j?
-1
Let s(w) be the first derivative of w**6/15 + 4*w**5/25 + w**4/10 - 7. Factor s(z).
2*z**3*(z + 1)**2/5
Let u(d) be the second derivative of d**5/30 - 5*d**4/18 + 8*d**3/9 - 4*d**2/3 - d. Solve u(h) = 0.
1, 2
Let j(n) be the first derivative of n**3/18 - n**2/12 + 5. Factor j(v).
v*(v - 1)/6
Let f be -4 + 2 - (-168)/66. Let q = -257 - -2829/11. Factor q*t**2 + 4/11 - f*t.
2*(t - 2)*(t - 1)/11
Let p(s) be the first derivative of -2/35*s**5 + 3 - 8/21*s**3 + 0*s - 2/7*s**4 + 0*s**2. Factor p(n).
-2*n**2*(n + 2)**2/7
Let o(i) = i**3 - i + 9*i**2 + 1 - 9 + 1. Let l be o(-9). Find w such that w**2 - l*w + 2*w = 0.
0
Let f = -14 - -14. Let o(i) be the third derivative of f*i + i**2 - 1/60*i**5 + 0*i**3 + 1/210*i**7 + 0*i**4 + 1/336*i**8 + 0 - 1/120*i**6. Factor o(l).
l**2*(l - 1)*(l + 1)**2
Let h(a) be the third derivative of a**7/2520 + a**6/540 - a**5/360 - a**4/36 + a**3/3 - a**2. Let j(u) be the first derivative of h(u). Solve j(z) = 0 for z.
-2, -1, 1
Let l(a) be the second derivative of 2/15*a**5 - 1/45*a**6 + 0 - 1/3*a**4 - 1/3*a**2 - 2*a + 4/9*a**3. Factor l(v).
-2*(v - 1)**4/3
Suppose -3*p - 8 = -5*p. Let q be (p/(-3) + 2)/3. Factor 2/9*i**3 - 10/9*i + q*i**4 - 2/3*i**2 - 4/9.
2*(i - 2)*(i + 1)**3/9
Let b = -42 - -44. Let o(i) be the second derivative of 0*i**4 + 3*i + 0*i**6 + 0 + 0*i**b + 1/70*i**5 - 1/147*i**7 + 0*i**3. Factor o(a).
-2*a**3*(a - 1)*(a + 1)/7
Let v(h) = -h**2 + h + 1. Let b(o) = 2*o**2 - 6*o - 2. Let n(q) = -b(q) - 6*v(q). Factor n(j).
4*(j - 1)*(j + 1)
Let f(o) be the second derivative of -o**5/190 + o**3/57 - 3*o. Suppose f(l) = 0. Calculate l.
-1, 0, 1
Let v(p) be the first derivative of -p**4 - 4*p**3 + 16*p - 27. Factor v(d).
-4*(d - 1)*(d + 2)**2
Determine c, given that 1876 - 8*c**2 - 1872 - 2*c + 3*c**4 + c**4 - 2*c**5 + 4*c**3 = 0.
-1, 1, 2
Factor j - 2/3 - 1/3*j**2.
-(j - 2)*(j - 1)/3
Factor 0*i**3 + 4*i**4 - 12*i**3 - 8*i**3 + 8*i**3 + 16*i.
4*i*(i - 2)**2*(i + 1)
Let n = 259 - 256. Let 13/2*f**3 + 1/2*f**5 + 0 - n*f**4 - 6*f**2 + 2*f = 0. Calculate f.
0, 1, 2
Let u be 12/(-18) - 100/(-6). Suppose -2*f = -5*s - u, 6*f - 16 = 2*f + 2*s. Factor -1/2*b + 1/2*b**f + 1/2*b**4 + 0 - 1/2*b**2.
b*(b - 1)*(b + 1)**2/2
Let b(s) be the first derivative of 3*s**4/4 - s**3/3 - 7*s**2/2 + 5*s + 24. Suppose b(w) = 0. Calculate w.
-5/3, 1
Let u = 33 + -97/3. Let 2/3*t**3 + 0 - 2/3*t**4 + 2/3*t**2 - u*t = 0. Calculate t.
-1, 0, 1
Let u = -5742/5 + 1152. Factor -8/5*b**3 - 4/5*b**2 + u + 2/5*b**4 + 24/5*b.
2*(b - 3)**2*(b + 1)**2/5
Let n(v) = 2*v**3 - 4*v**2 + 5*v. Let j(h) = 3*h**3 - 6*h**2 + 7*h. Let x(s) = -5*j(s) + 7*n(s). Factor x(o).
-o**2*(o - 2)
Suppose 3*q + 2 = 4*b, q = 4*b - 6 - 0. Factor 2*n**5 - n**2 + 3*n**2 - 2*n**4 + 0*n**4 - q*n**3.
2*n**2*(n - 1)**2*(n + 1)
Factor 10/17*d**2 - 8/17*d**3 + 0 - 4/17*d + 2/17*d**4.
2*d*(d - 2)*(d - 1)**2/17
Suppose 0*t - 5*t = t. Let j(z) be the third derivative of z**2 + 0 + t*z**6 + 0*z**3 + 0*z - 1/840*z**7 + 1/240*z**5 + 0*z**4. Factor j(f).
-f**2*(f - 1)*(f + 1)/4
Suppose 0*j**3 - 6/5*j**2 - 3/5*j + 0 + 3/5*