 - 1)**3*(z + 1)**2
Suppose 1/4*i**5 - 15/4*i + 0*i**4 + 5*i**2 + 1 - 5/2*i**3 = 0. What is i?
-4, 1
Let l(p) be the third derivative of -p**5/540 - p**4/108 - p**3/54 - 3*p**2. Let l(t) = 0. What is t?
-1
Let o(f) be the second derivative of -f**9/75600 - f**8/33600 + f**7/12600 + f**6/3600 + f**4/2 + 5*f. Let i(w) be the third derivative of o(w). Factor i(q).
-q*(q - 1)*(q + 1)**2/5
Let x(q) be the first derivative of -17*q**3/6 - q**2/2 + 15. Suppose x(r) = 0. What is r?
-2/17, 0
Solve 4/5*w**2 - 2/5*w**4 + 0*w - 2/5*w**3 + 0 = 0.
-2, 0, 1
Let m(s) be the third derivative of s**7/42 - s**6/12 + 5*s**4/12 - 5*s**3/6 - s**2. Factor m(y).
5*(y - 1)**3*(y + 1)
Let b(x) be the third derivative of -x**6/24 + x**5/12 + 25*x**4/24 + 5*x**3/2 - 4*x**2. Factor b(a).
-5*(a - 3)*(a + 1)**2
Let y = -20 - -22. Let n be 4/50*(y - -8). Factor -n*j - 2/5*j**2 - 2/5.
-2*(j + 1)**2/5
Let t = -34 - -34. Find q, given that 1/3*q**3 - 1/3*q + t*q**2 + 0 = 0.
-1, 0, 1
Suppose g = 2*g, 0 = -u + 3*g. Let d(x) be the first derivative of 1/2*x**4 + 2 + 0*x + u*x**2 - 2/3*x**3. Determine n, given that d(n) = 0.
0, 1
Determine v, given that -1/2*v**4 - 1/2*v**5 + 0*v + 1/2*v**3 + 0 + 1/2*v**2 = 0.
-1, 0, 1
Let c be (0 - -5)/(45/54) - 1. Factor 4 + 2*u**4 - 1/2*u**3 - 1/2*u**5 + 2*u - c*u**2.
-(u - 2)**3*(u + 1)**2/2
Factor -30*f + 69*f + 12 + 18 + 9*f**2.
3*(f + 1)*(3*f + 10)
Let d(i) be the first derivative of -2*i**2 + 2*i**4 + 4/5*i**5 - 2/3*i**6 + 4*i - 1 - 8/3*i**3. Factor d(h).
-4*(h - 1)**3*(h + 1)**2
Suppose -2*z + z = -2. Factor -4*o**2 - z*o**5 + o**2 + 7*o**2 - 5*o**4 + o**4 + 2*o.
-2*o*(o - 1)*(o + 1)**3
Let r(u) be the third derivative of u**7/16380 + u**6/1560 + u**5/390 + u**4/8 + 4*u**2. Let m(p) be the second derivative of r(p). Factor m(l).
2*(l + 1)*(l + 2)/13
Let k = 371/585 + -4/117. Suppose -6/5*c**2 + 3/5 - k*c = 0. What is c?
-1, 1/2
Let d be 4/20 + 9/5. Factor 1/5 - 1/5*o**d + 0*o.
-(o - 1)*(o + 1)/5
Let z(y) be the third derivative of y**7/105 + y**6/60 - y**5/30 - y**4/12 + 3*y**2. Factor z(c).
2*c*(c - 1)*(c + 1)**2
Let l(n) = -3*n + 2*n + 2*n + 2 + 6. Let y be l(-6). What is c in 4*c**2 - 1 - 3*c + 1 - c**y = 0?
0, 1
Let b(d) = -9*d**4 + 24*d**3 - 66*d**2 + 78*d - 33. Let z(p) = p**4 - p + 1. Let h(s) = b(s) + 6*z(s). Factor h(k).
-3*(k - 3)**2*(k - 1)**2
Factor -1/5*z**4 + 0 + 4/5*z**3 - z**2 + 2/5*z.
-z*(z - 2)*(z - 1)**2/5
Let 15 - 3*u**2 + 57/2*u = 0. What is u?
-1/2, 10
Let v(i) be the first derivative of i**3/15 - 3*i**2/10 - 3. Determine j so that v(j) = 0.
0, 3
Let z be -3 - (16/(-10))/((-3)/(-15)). Let y(t) be the third derivative of 0 + 1/30*t**z - 1/12*t**4 - t**2 - 2/3*t**3 + 0*t. Factor y(d).
2*(d - 2)*(d + 1)
Suppose 4*d = -4, -3*d - d = 4*f. Let q be 2*(6/4)/f. Suppose 0*t**4 - q*t**4 + 0*t**4 + 6*t**3 - 3*t**3 = 0. What is t?
0, 1
Let s be 200/1125 + (-4)/(-18). Find i, given that -s - 3/5*i - 1/5*i**2 = 0.
-2, -1
Let d(t) be the first derivative of t**6/24 - t**4/8 + t**2/8 + 5. Solve d(m) = 0.
-1, 0, 1
Suppose 6*i = 2*a + 3*i + 15, -10 = 3*a - 2*i. Suppose -4*u - 27 = -5*d, -2*d = 3*d - u - 18. Let a*h**d + h**4 - 2*h**4 + h**3 = 0. What is h?
0, 1
Factor -35*t + 15*t**2 - 2*t**2 + 98*t**3 - 49 - 99*t**3.
-(t - 7)**2*(t + 1)
Let i = -24 - -24. Let s(u) be the third derivative of 1/70*u**7 + 0*u**4 - 1/40*u**6 + 0*u + 0*u**5 - 4*u**2 + 0*u**3 + i. Factor s(o).
3*o**3*(o - 1)
Let g(q) be the first derivative of -q**6/6 - q**5/5 + q**4/2 + 2*q**3/3 - q**2/2 - q - 2. Determine s, given that g(s) = 0.
-1, 1
Let c(p) be the second derivative of p**7/210 - p**6/75 + p**5/100 - 2*p. Factor c(w).
w**3*(w - 1)**2/5
Let o(i) be the first derivative of -5*i**4 - 16*i**3 - 18*i**2 - 8*i - 26. Factor o(q).
-4*(q + 1)**2*(5*q + 2)
Let f(j) be the third derivative of j**9/15120 + j**8/840 + j**7/105 + 2*j**6/45 - 3*j**5/20 + 4*j**2. Let y(a) be the third derivative of f(a). Factor y(o).
4*(o + 2)**3
Let f(z) be the third derivative of z**5/60 - z**4/12 + 14*z**2. Factor f(w).
w*(w - 2)
Let w = 46 - 46. Find h such that w*h**2 + 0 - 1/4*h**3 + 1/4*h = 0.
-1, 0, 1
Let u(v) be the third derivative of -v**6/120 + v**5/10 - v**4/2 + 4*v**3/3 - 5*v**2. Factor u(h).
-(h - 2)**3
Suppose 5*o + 32 = z, 0 = 2*o - 4*o + 4*z - 20. Let l be (3/o)/(2/(-16)). Let 0*h + 2/5*h**2 + 0*h**3 + 0 - 2/5*h**l = 0. What is h?
-1, 0, 1
Let p(y) be the second derivative of -y**4/16 + y**3/2 - 3*y**2/2 + 3*y. Solve p(a) = 0 for a.
2
Let o(h) be the first derivative of 0*h - 2 + 0*h**2 + 1/10*h**4 - 2/15*h**3. Solve o(x) = 0.
0, 1
Suppose 2*c = p + 7, 24 = 3*c + 6*p - 3*p. Factor w**4 + 2*w**c - w**4 + w - w**5 - 2*w**3.
w*(w - 1)**2*(w + 1)**2
Let a = 4 + -4. Let b(y) be the third derivative of 1/30*y**4 - 1/15*y**3 - 1/150*y**5 + a + 0*y + y**2. Factor b(t).
-2*(t - 1)**2/5
Solve -10/3*y**2 - 5/6*y**3 + 5/6*y + 10/3 = 0.
-4, -1, 1
Suppose -5*h - 55 - 120 = 0. Let f = -32 - h. Factor 0*u**2 + 2/7*u**f - 2/7*u + 0.
2*u*(u - 1)*(u + 1)/7
Let j be 5 + 9/(-3) + 15. Determine l so that -16*l + 2*l**2 + 15 - 4*l**2 + 4*l**2 + j = 0.
4
Let g = 21 - 18. Let -7*d**3 + 12*d + d**3 + g*d**3 = 0. Calculate d.
-2, 0, 2
Factor 2/9*g**2 - 2/9*g + 0.
2*g*(g - 1)/9
Let i(g) be the first derivative of -1/2*g**2 - 1/5*g - 1/2*g**4 - 1/5*g**5 - 2/3*g**3 - 1/30*g**6 + 1. Find k, given that i(k) = 0.
-1
Let s(k) = -3*k - 8. Let q be s(-8). Suppose 0 = 4*h - 8, t + h = 2*t. Factor -g + 15*g**4 + g**t - q*g**4 + 0*g**2 + g**3.
-g*(g - 1)**2*(g + 1)
Let t(i) = -3*i + 28. Let c(k) = k - 9. Let j(g) = -8*c(g) - 3*t(g). Let b be j(14). Factor 1/2*p**b + 0 - 1/2*p.
p*(p - 1)/2
Let d(l) = l**2 - 9. Let h be d(-3). Let s = 17/12 - 3/4. Factor h*q - s + 2/3*q**2.
2*(q - 1)*(q + 1)/3
Let p(q) be the second derivative of 3*q + 1/2*q**2 + 1/12*q**4 + 0 - 1/60*q**5 - 1/6*q**3. Let j(t) be the first derivative of p(t). Factor j(r).
-(r - 1)**2
Determine n so that -8/9*n - 4/9*n**2 - 4/9 = 0.
-1
Find r, given that -9/2*r + 3/2*r**3 - 3*r**2 + 0 = 0.
-1, 0, 3
Let u(x) be the first derivative of -x**3/3 + 2*x**2 - x + 1. Let d be u(2). Find m, given that 2*m**3 + 2*m**2 - d*m**3 - 3*m**2 = 0.
-1, 0
Suppose -3 = 2*s - 7. Let -2*p + 10*p**2 + 2*p**3 + 8*p**s - 18*p**2 = 0. What is p?
-1, 0, 1
Factor 12*a**3 + 8*a**3 - 8*a - 4*a**4 + 12*a**2 - 20*a**3.
-4*a*(a - 1)**2*(a + 2)
Let y(o) be the first derivative of -o**5/270 - o**4/108 - o**2 - 2. Let g(i) be the second derivative of y(i). Solve g(f) = 0 for f.
-1, 0
Let q be 3 - ((-8)/2 + 3). Suppose 0*m + 2*m - q = 0. Find x such that 0*x + 0 - 1/4*x**3 + 1/4*x**5 + 0*x**m + 0*x**4 = 0.
-1, 0, 1
Let d(m) be the first derivative of -1/3*m**2 - 2/9*m**3 + 0*m + 2. Suppose d(l) = 0. Calculate l.
-1, 0
Let w(t) be the first derivative of 4*t**5/25 + 3*t**4/20 - 3*t**3/5 + t**2/5 - 6. Factor w(o).
o*(o - 1)*(o + 2)*(4*o - 1)/5
Let z = 16 - 7. Solve 14 - 18*a**2 - 4*a - z - 5 = 0.
-2/9, 0
Let i(l) = l**3 + 2*l**2 - 4*l + 4. Let p(w) = -w**2 - w - 1. Let z(b) = 5*i(b) + 5*p(b). Determine j so that z(j) = 0.
-3, 1
Let j(r) be the third derivative of -r**6/840 + r**4/56 + r**3/21 + r**2. What is c in j(c) = 0?
-1, 2
Let b(a) be the first derivative of 4*a**3/3 + 4*a**2 - 6*a + 11. Let c(r) = 4*r**2 + 8*r - 5. Let d(z) = -7*b(z) + 6*c(z). Determine l so that d(l) = 0.
-3, 1
Let b = 2 + -2. Suppose 0 = 5*v + 25, -3*v - 23 = -4*c - b. Suppose 2*i**c - 2*i + 6*i - 2*i = 0. What is i?
-1, 0
Let o(s) be the third derivative of s**6/120 - s**4/8 - 5*s**3/6 + 5*s**2. Let t(x) be the first derivative of o(x). Factor t(n).
3*(n - 1)*(n + 1)
Let p be ((-2)/6)/((-3)/(-6)). Let i = p + 1. Suppose -5/3*v - i - 4/3*v**2 = 0. Calculate v.
-1, -1/4
Let w(x) be the third derivative of -x**5/210 + x**4/12 - 2*x**3/7 + x**2. Let w(u) = 0. What is u?
1, 6
Let j(k) be the first derivative of k**5/60 + k**4/18 - k**3/18 - k**2/3 + k - 4. Let y(i) be the first derivative of j(i). Factor y(p).
(p - 1)*(p + 1)*(p + 2)/3
Factor 1/3*a**5 + 3*a + 14/3*a**3 - 16/3*a**2 - 2/3 - 2*a**4.
(a - 2)*(a - 1)**4/3
Let d(g) = g - 1. Let m be d(3). Solve -12 + 6*r**2 - 3*r**4 + 9*r**m + 4*r**3 - 4*r**3 = 0 for r.
-2, -1, 1, 2
Let b(o) = o + 1. Let h be b(1). Factor -h*k**4 - k**4 + 8*k**3 - 8*k - 6*k**4 + 5*k**4 + 4.
-4*(k - 1)**3*(k + 1)
Let r(x) be the second derivative of 1/100*x**5 + 1/30*x**4 - 2*x 