p**h - 1 + 0*p + 0*p**2. Factor v(n).
-3*n**2*(n - 1)**2
Suppose -16*l = -54*l - 6*l. Suppose 3/2*t**4 + l - 2*t - 6*t**2 + 1/2*t**3 = 0. Calculate t.
-2, -1/3, 0, 2
Let b = -237 + 237. Determine z, given that 6/7*z**4 + 3/7*z**5 - 3/7*z + 0 - 6/7*z**2 + b*z**3 = 0.
-1, 0, 1
Let w(k) be the first derivative of -2/3*k**2 - 1/9*k**3 - 7 - k. Find h such that w(h) = 0.
-3, -1
Let i = 28 - 26. Let r be (-28)/(-7) - 0/(-1). Find p such that 10/7*p + 2/7*p**r - 2/7*p**3 - 4/7 - 6/7*p**i = 0.
-2, 1
Let y(o) = 2*o**3 - 3*o**5 + 6*o**4 + 5*o**2 + 6*o**3 - o**4. Let f(t) = 3*t**5 - 6*t**4 - 9*t**3 - 6*t**2. Let m(r) = -5*f(r) - 6*y(r). Factor m(h).
3*h**3*(h - 1)*(h + 1)
Let c be 2/5 - 22912/(-220). Let n = -104 + c. Factor -2/11*w - 4/11*w**3 + 0 - n*w**2.
-2*w*(w + 1)*(2*w + 1)/11
Let p(i) be the first derivative of 2*i**3/9 - 2*i**2/3 - 2*i - 9. Factor p(s).
2*(s - 3)*(s + 1)/3
Let i be 3*(-15)/(-90)*(0 + 0). Solve i + 0*w**3 + 0*w**4 - 2/11*w**5 + 0*w**2 + 0*w = 0 for w.
0
Let x be ((-16)/5)/((-16)/40). Suppose -2*p + 3*l + x + 1 = 0, -4*l = 4. What is c in 0 + 1/2*c**4 + 0*c**p + 0*c**2 + 0*c = 0?
0
Let w(l) be the third derivative of l**5/15 + 6*l**2. Factor w(c).
4*c**2
Let w(r) be the third derivative of -r**7/6300 - r**6/1800 + r**4/8 + 3*r**2. Let z(h) be the second derivative of w(h). Determine g, given that z(g) = 0.
-1, 0
Let n(z) = z**2 - 2*z + 3. Let b be n(3). Let h(w) be the second derivative of -3*w + 0*w**3 + 0*w**4 + 0*w**2 + 0*w**5 + 1/60*w**b + 0. Solve h(g) = 0.
0
Let f(h) = -3*h**5 - 9*h**4 - 6*h**3 + 3*h**2 + 3*h. Let p(k) = -k**4 - k**3 + k**2 + k. Let x(a) = f(a) - 15*p(a). Factor x(t).
-3*t*(t - 2)**2*(t + 1)**2
Let h(z) = z**3 + 4*z**2 - 4*z + 6. Let i be h(-5). Suppose 4*l = -3*q - 0 + 3, -4*q = -5*l - 4. Factor 4 - 3 + b**2 - 2*b + i - q.
(b - 1)**2
Let n(s) be the third derivative of 1/780*s**6 + 3*s**2 + 0*s + 1/195*s**5 + 0 + 0*s**3 + 0*s**4. Solve n(f) = 0 for f.
-2, 0
Suppose -3*l + 45 = 36. Let r(s) be the third derivative of 0*s + 0*s**6 + 0 + 0*s**l + 0*s**5 + 0*s**7 + 1/1848*s**8 + 3*s**2 + 0*s**4. Factor r(y).
2*y**5/11
What is r in -2/9*r**3 + 2/9*r - 2/9*r**4 + 2/9*r**2 + 0 = 0?
-1, 0, 1
Let q = 2 + 0. Factor 1/4*r**3 + 5/4*r - 1/2 - r**q.
(r - 2)*(r - 1)**2/4
Let b be (9/15)/(2/10). Suppose -b*r - 18 = -3*y, -4*y + 10 = -y + r. Let -2*a**2 + 2*a + 4*a**2 - y*a**2 = 0. Calculate a.
0, 1
Let v(d) be the third derivative of d**8/784 - d**7/98 + d**6/35 - d**5/35 - 3*d**2. Factor v(k).
3*k**2*(k - 2)**2*(k - 1)/7
Factor 0 + 72*g**2 + 0 - 74*g**2 + 2*g.
-2*g*(g - 1)
Let o(t) be the second derivative of t**4/4 + t**3/2 - 25*t. Find g, given that o(g) = 0.
-1, 0
Let n = -19 + 21. Let s(h) be the second derivative of -77/12*h**4 - 2*h**2 + 49/20*h**5 + n*h + 16/3*h**3 + 0. Factor s(q).
(q - 1)*(7*q - 2)**2
Let n be 52/12 - 9/(-12)*-4. Let p(u) be the first derivative of 2/9*u**3 - 2 - u**2 + n*u. Factor p(m).
2*(m - 2)*(m - 1)/3
Let k(u) be the third derivative of u**6/240 + u**5/24 + 7*u**4/48 + u**3/4 - 12*u**2. What is f in k(f) = 0?
-3, -1
Let w(k) be the second derivative of -k**5/60 + k**4/18 - k**3/18 + 5*k. Factor w(p).
-p*(p - 1)**2/3
Let y = 32 - 63/2. Let i(n) be the second derivative of y*n**4 + 1/30*n**6 - 2/3*n**3 + 1/2*n**2 - 1/5*n**5 - n + 0. Solve i(w) = 0 for w.
1
Let s(k) be the third derivative of 0 - 1/45*k**5 + 0*k + 1/18*k**4 + k**2 + 4/9*k**3. Suppose s(c) = 0. Calculate c.
-1, 2
Let w be (-2 + (-340)/(-175))*-5. Factor w*d**3 + 0*d**2 + 0 + 4/7*d**4 + 0*d + 2/7*d**5.
2*d**3*(d + 1)**2/7
Let v(w) be the third derivative of 2/315*w**7 - 1/180*w**6 + 0*w + 0 + 0*w**5 - 4*w**2 - 1/504*w**8 + 0*w**3 + 0*w**4. Find b such that v(b) = 0.
0, 1
Let d(z) be the third derivative of z**5/210 - 6*z**2. Solve d(f) = 0 for f.
0
Let s be (-7)/((-14)/16)*1/9. Factor -8/9*k + 2/9*k**2 + s.
2*(k - 2)**2/9
Find d such that 0 - 8/3*d**3 + 0*d + 4/3*d**2 + 4/3*d**4 = 0.
0, 1
Suppose 0 = -3*y - 3*z + 18, -3*z + 21 = 3*y + y. Find g, given that 8*g**2 - g**4 + 2*g**3 + g**5 - 7*g**4 + 8*g - 3*g**5 - 8*g**y = 0.
-2, -1, 0, 1
Let t(o) be the first derivative of 0*o + 7 - 4/3*o**3 - 6*o**2. Factor t(x).
-4*x*(x + 3)
Let l = 23 + -26. Let q(v) = -v**2 + 2*v + 3. Let w(m) be the first derivative of m**3/3 - 3*m**2/2 - 4*m - 1. Let s(u) = l*q(u) - 2*w(u). Factor s(k).
(k - 1)*(k + 1)
Let c(b) be the first derivative of 2*b**6/3 + 28*b**5/5 + 14*b**4 + 8*b**3/3 - 30*b**2 - 36*b + 2. Let c(q) = 0. What is q?
-3, -1, 1
Let r be 45/75 + 4/30*-3. Factor -1/5 + r*z**2 + 0*z.
(z - 1)*(z + 1)/5
Let d = -54 + 109/2. Let 0 - z + d*z**2 = 0. Calculate z.
0, 2
Let d be (-18)/(-8) + 2/(-8). Suppose -5 - 3*l**d + 2*l + 3 - 3*l + 4*l**2 = 0. What is l?
-1, 2
Solve -3/5*t**2 + 9/5*t - 6/5 = 0.
1, 2
Suppose 2*b = -3*v - 11, -4*b - 2*v = -1 + 3. Solve 1/9*q**4 + 2/9*q - 2/9*q**3 + 0*q**b - 1/9 = 0 for q.
-1, 1
Let d be -2 - 5/((-35)/(-537)). Let m = 79 + d. Factor 2/7*r**4 + 2/7*r + 2/7 - 4/7*r**2 - 4/7*r**3 + m*r**5.
2*(r - 1)**2*(r + 1)**3/7
Factor -2*s**3 + 4*s - 5 + 8 - 2*s**3 - 2*s**4 - 1.
-2*(s - 1)*(s + 1)**3
Let g(f) = -2*f - 5 - f + 4*f. Let t be g(5). Find r, given that t + 0*r - 1/3*r**4 + 0*r**3 + 1/3*r**2 = 0.
-1, 0, 1
Let h(w) be the second derivative of w**5/20 + w**4/6 - 21*w. Factor h(d).
d**2*(d + 2)
Let d be (1 - 1)*(-3)/6. Let w(i) be the first derivative of d*i - 1/6*i**2 - 1 + 7/9*i**3 + 3/5*i**5 - 5/4*i**4. Factor w(f).
f*(f - 1)*(3*f - 1)**2/3
Let u = 15/8 - 73/56. Factor -2/7*c**2 - 2/7 - u*c.
-2*(c + 1)**2/7
Let j be (-5)/(-3)*-2 + (62 - 58). Factor -h**2 + 5/3*h**4 + 7/3*h - j - 7/3*h**3.
(h - 1)**2*(h + 1)*(5*h - 2)/3
Let r(o) be the second derivative of o**6/1440 - o**5/240 + 4*o**3/3 + 6*o. Let l(u) be the second derivative of r(u). Factor l(w).
w*(w - 2)/4
Let k(t) = -t - 3. Let i be (1 - 4) + -2 + 2. Let h be k(i). Factor 2/11*j**3 + 0 + h*j**2 + 0*j - 2/11*j**5 + 0*j**4.
-2*j**3*(j - 1)*(j + 1)/11
Suppose 3*o**4 - 3*o - 6*o**2 - 6*o + 3 + 9*o = 0. Calculate o.
-1, 1
Let v = -1618/3 + 540. Let 2/3*d + 2/3 - 2/3*d**2 - v*d**3 = 0. Calculate d.
-1, 1
Let g(t) be the first derivative of -2*t**3/3 + 2*t**2 - 2*t - 1. Factor g(p).
-2*(p - 1)**2
Let n = 1/29 + 45/377. Let n*l**5 + 2/13*l + 0*l**4 + 0*l**2 - 4/13*l**3 + 0 = 0. What is l?
-1, 0, 1
Suppose 3*t = -0*t. Suppose 2*n - 4*n + 4 = t. Factor 3*x + 3*x**2 - 2*x**n - 5*x.
x*(x - 2)
Factor 10*y**2 + 11*y**2 - y - 20*y**2.
y*(y - 1)
Let c(x) be the third derivative of -x**8/840 + x**7/189 - 13*x**6/1620 + x**5/270 - x**3/2 - x**2. Let k(n) be the first derivative of c(n). Factor k(l).
-2*l*(l - 1)**2*(9*l - 2)/9
Let g(z) = -1 + 3*z - 6*z - 1 + 0*z. Let u be g(-2). Let -2*f**3 + 4*f**4 + 9*f - 3 + f**4 - 6*f**2 - 3*f**5 - 4*f**3 + 4*f**u = 0. What is f?
-1, 1
Let j(c) be the first derivative of -2*c**5/25 - 3*c**4/10 - 4*c**3/15 + 14. Solve j(y) = 0.
-2, -1, 0
Let t(c) = -c**2 - 4*c + 3. Let b be t(-5). Let n be (-6)/(-15) - b/5. Factor -y**3 + 0*y + 2/5*y**2 + 0 + n*y**4 - 1/5*y**5.
-y**2*(y - 2)*(y - 1)**2/5
Let f(l) = l**2 - 3*l + 5. Let v be f(3). Suppose -g + 11 = -v*h - 16, 12 = -4*g - 4*h. Factor 2/3*n**g + 2/3*n + 0.
2*n*(n + 1)/3
Suppose 8*y = 5*y - 6*y. Solve y*z - 2/11 + 2/11*z**2 = 0 for z.
-1, 1
Suppose 0 = 2*k - 3 + 7, -b - 4*k = 6. Find w, given that 2 - 3*w + 2*w**4 - 3*w**b - w + 2*w**3 + 2 - w**4 = 0.
-2, 1
Let a(j) be the third derivative of 1/60*j**4 + 0*j + 5*j**2 + 0 - 2/15*j**3 + 1/150*j**5. Suppose a(f) = 0. What is f?
-2, 1
Let a be (-1)/(-2) - 8/32. Let t(g) be the first derivative of a*g**3 - 3/8*g**2 - 1 - 1/16*g**4 + 1/4*g. Factor t(x).
-(x - 1)**3/4
Let o(b) be the first derivative of -b**4/10 - 4*b**3/15 + b**2/5 + 4*b/5 - 2. Factor o(w).
-2*(w - 1)*(w + 1)*(w + 2)/5
Suppose 2*c + 2*s = 4*s + 14, 3*s = 0. Let 6*f + 3*f**3 - 1 - 4*f**2 + f**5 + 6*f**4 - 1 - 3*f**5 - c*f**3 = 0. What is f?
-1, 1
Let x(l) be the second derivative of l**6/255 + l**5/85 + l**4/102 + 14*l. Factor x(b).
2*b**2*(b + 1)**2/17
Factor 0 - 3/8*f**3 + 0*f - 9/8*f**2.
-3*f**2*(f + 3)/8
Let l = -4 + 3. Let o(s) = s**2 - 6*s + 3. Let u(w) = 1. Let i(z) = l*o(z) - 6*u(z). Factor i(j).
-(j - 3)**2
Factor 7/3*k - 2/3 + 5/3*k**4 - 7/3*k**3 - k**2.
(k - 1)**2*(k + 1)*(5*k - 2)/3
Suppose -20 = -3*j - 2*j. Let r be (1 - j)/((-6)/4). Factor -2/3*k**r + 2/3*k + 0.
-2*k