0 + f**5/30 - f**4/16 - 7*f**3/24 - 15*f**2 + 2. Factor p(m).
-(m - 7)*(m - 1)*(m + 1)**2/4
Factor 4/5*s**2 + 0 + 2/5*s**3 + 2/5*s.
2*s*(s + 1)**2/5
Let f(n) = -9*n - 52. Let a be f(-6). Factor 4/3*b**a - 4/3 + 0*b.
4*(b - 1)*(b + 1)/3
Suppose w - 21 = 3*d, 3*w + 3*d = 2*w + 9. Suppose -w = -2*l - 3. Solve 3*n**4 - 4*n**3 - 2*n**2 - 2*n**5 + l*n**3 + n**4 - 2*n**4 = 0.
-1, 0, 1
Factor 50*k**2 - 27*k**2 + 35 + 30*k - 18*k**2 + 10*k.
5*(k + 1)*(k + 7)
Let 0*c + 7*c + 2*c**2 - 11*c = 0. Calculate c.
0, 2
Suppose -3*h = 117 - 132. Let a be -2 - (-1 + 5/(-3)). Let 1/3*n**3 + a*n**2 - 4/3*n**4 + 0*n - n**h + 0 = 0. What is n?
-1, 0, 2/3
Let z(t) = -t**2 - 6*t - 4. Let m be z(-4). Find j, given that -4/3*j**5 + 2/3*j + 7/3*j**m + 2/3*j**3 - 8/3*j**2 + 1/3 = 0.
-1, -1/4, 1
Let q(x) be the first derivative of -3/4*x**2 + 1 - 1/5*x**5 + 3/8*x**4 + 1/2*x + 1/6*x**3. Find v such that q(v) = 0.
-1, 1/2, 1
Let u = -571/3 - -191. Suppose u*v**2 - 4/3*v + 2/3 = 0. What is v?
1
Let b(k) be the second derivative of -k**7/21 + 11*k**6/60 - k**5/40 - 13*k**4/24 + 5*k**3/12 + k**2/2 + 19*k. Solve b(p) = 0.
-1, -1/4, 1, 2
Solve 13 + 48*w**2 - 39*w**3 - 12*w + 16 - 29 + 9*w**4 = 0 for w.
0, 1/3, 2
Suppose -3*q - 3 = 3. Let j(b) = 2*b**4 + 2*b**2 + 2*b + 2. Let g(p) = -p**3 + p**2 + p + 1. Suppose 2*o - 1 = 1. Let v(z) = o*j(z) + q*g(z). Factor v(s).
2*s**3*(s + 1)
Let u(w) be the first derivative of -w**5/80 - w**4/48 + w**3/24 + w**2/8 + 5*w - 4. Let k(n) be the first derivative of u(n). Factor k(j).
-(j - 1)*(j + 1)**2/4
Let y = 40 - 40. Factor 0*u - 5*u**4 + u**3 + 0 + y*u**2 + 25/4*u**5.
u**3*(5*u - 2)**2/4
Let p(r) = -r**3 + 3*r**2 + 3*r + 1. Let s be p(4). Let i = s - -7. Factor 2*u + 1 - 2*u**i - 2*u**3 - 2*u**2 - u + 3*u**4 + u**5.
(u - 1)**2*(u + 1)**3
Suppose 0 = -8*r + 3*r. Let b(s) be the second derivative of 1/6*s**4 + 1/6*s**3 + 1/20*s**5 + s + 0 + r*s**2. Factor b(h).
h*(h + 1)**2
Let q(y) = y - 9. Let s be q(9). Suppose s = 5*g + 4*a - 17, -2*g - 4*a = -g - 13. Solve 1 - 6 + g + 2*w**2 + 2*w = 0 for w.
-2, 1
Let p(v) be the third derivative of -v**6/24 - 2*v**5/15 - v**4/24 + v**3/3 - 5*v**2. Find d such that p(d) = 0.
-1, 2/5
Let v(g) = -g + 2. Let c be v(2). Suppose 4*m - 4 - 4 = c. Determine o, given that -111*o**5 - 289*o**5 - 304*o**3 - 5 + 20*o + 620*o**4 + 1 + 23*o**m = 0.
-1/4, 2/5, 1/2
Suppose -5*b + 3*o + 20 = -o, b + 20 = -4*o. Suppose -2*h + b*h = 0. Determine s so that -1/2*s**4 - 1/2*s**2 + h + 0*s - s**3 = 0.
-1, 0
Let a(k) = 5*k**4 - 3*k**3 - 5*k + 5. Let p(l) = 5*l**4 - 2*l**3 - 4*l + 4. Suppose 2*m - 3*m = -4. Let s(j) = m*a(j) - 5*p(j). Solve s(x) = 0 for x.
-2/5, 0
Solve 1/2*t**5 - 1/2*t**3 + 0 + 0*t - 1/2*t**4 + 1/2*t**2 = 0 for t.
-1, 0, 1
Let g(b) be the second derivative of 25*b**4/48 + 5*b**3/12 + 37*b. Factor g(i).
5*i*(5*i + 2)/4
Suppose -16 = -3*f - f. Let x(c) be the second derivative of -1/42*c**f + 0 - 1/7*c**2 + 2*c - 2/21*c**3. Factor x(t).
-2*(t + 1)**2/7
Suppose 0 = 2*l + 4*l + 126. Let u = 25 + l. Determine a so that -12/5*a - 6/5*a**2 + 12/5*a**3 + 9/5*a**u - 3/5 = 0.
-1, -1/3, 1
Let c(s) be the third derivative of -s**8/17640 + s**7/17640 + s**5/20 - 4*s**2. Let g(d) be the third derivative of c(d). Determine n so that g(n) = 0.
0, 1/4
Factor 4/3*g + 0 - 14/3*g**2.
-2*g*(7*g - 2)/3
Suppose 12*q = 10*q - 8. Let t be -3 + 12/(q/(-1)). What is l in -1/3*l**4 + 0*l**2 + t*l + 0 - 1/3*l**3 = 0?
-1, 0
Solve 2/5 + 2*d**4 + 4*d**3 + 2*d + 4*d**2 + 2/5*d**5 = 0 for d.
-1
Let v(q) = -q**3 + 7*q**2 - 16. Let s(x) = -x**3 - x**2. Let t(n) = -5*s(n) + v(n). Factor t(c).
4*(c - 1)*(c + 2)**2
Let q(x) be the third derivative of -x**6/120 + x**5/10 + x**4/4 + 3*x**3/2 + x**2. Let h be q(7). Factor 5/2*n**h - n**3 + 0 + n - 5/2*n**4.
-n*(n - 1)*(n + 1)*(5*n + 2)/2
Let h = -9 - -12. Suppose -q - h - 2 = -w, 4*w + 20 = -4*q. Suppose -4/9*p**4 - 2/9*p**3 + 0*p + w + 2/9*p**2 = 0. What is p?
-1, 0, 1/2
Let p(z) be the first derivative of -z**5/80 - z**4/24 - z**3/24 + 3*z + 1. Let v(d) be the first derivative of p(d). Solve v(j) = 0.
-1, 0
Factor -1/2 + 1/4*w**2 + 1/4*w.
(w - 1)*(w + 2)/4
Suppose -15 = -5*z - 4*q, -z - 3*z + 3*q + 12 = 0. Factor -4*v + 4*v + 3*v**2 + 2*v - 5*v**z.
-v*(v - 1)*(5*v + 2)
Let -1/4*r**4 + 3/4*r**2 + 0 + 0*r - 1/2*r**3 = 0. Calculate r.
-3, 0, 1
Let a = 24 - 9. Let t = -11 + a. Find l, given that 0*l + 2/5*l**5 - 6/5*l**t - 2/5*l**2 + 6/5*l**3 + 0 = 0.
0, 1
Let h(n) = n**2 + 7*n + 6. Let f be h(-6). Let b(c) be the second derivative of -2/3*c**2 + 2/9*c**3 + f - 1/36*c**4 - 2*c. Let b(y) = 0. Calculate y.
2
Let k = 5 + 1. Factor -k - 2 + 8 - 2*q**3.
-2*q**3
Let p(o) = -o**3 - o**2 + 3*o + 1. Let h be p(-2). Let c be h/2*(1 + -5). Determine k so that -2*k**c - k + 2*k**3 - 3*k**3 + 0*k**2 = 0.
-1, 0
Suppose -3*y = 5*b - 7, -3*y - b - 17 = -7*y. Let k be 128/72 + y/18. Factor 0 - 2/3*t**4 + 2/3*t**k + 0*t**3 - 1/3*t + 1/3*t**5.
t*(t - 1)**3*(t + 1)/3
Let r(o) be the third derivative of -o**5/60 + 3*o**4/8 - 4*o**3/3 + 11*o**2 - 2. Factor r(t).
-(t - 8)*(t - 1)
Let h = -28 - -30. Let f(x) be the third derivative of 0*x + 1/18*x**4 + 0*x**3 + x**h + 0 + 1/360*x**6 - 1/45*x**5. Let f(n) = 0. Calculate n.
0, 2
Find y, given that y + 0*y**3 + y**4 - y**3 + 2*y - 5*y**2 - 6*y = 0.
-1, 0, 3
Let x = -2899/120 + 121/5. Let i(c) be the second derivative of x*c**3 + 2*c + 0 + 0*c**2 - 1/48*c**4. Find w, given that i(w) = 0.
0, 1
Suppose 1 = 5*k + 21. Let a = k - -6. Solve -3 - a*i**3 + 5 + 2 + 6*i = 0 for i.
-1, 2
Let p be 38/(-60) + 0 - -2. Let i = p - 7/6. Factor 1/5*z**2 + 0 - i*z.
z*(z - 1)/5
Let n be 1 + -2 + (-146)/10. Let d = 16 + n. Factor -6/5*i + 2/5 + 6/5*i**2 - d*i**3.
-2*(i - 1)**3/5
Let h be (-4 + 0)/((-6)/(-12)). Let n be (-2)/10*(-9 - h). Factor -1/5*j**4 - n*j**2 + 0 + 0*j - 2/5*j**3.
-j**2*(j + 1)**2/5
Let a = 46 - 24. Let d be a/(-6) + 3 + 1. Factor 4/3*x + d*x**3 + 0 + 4/3*x**2.
x*(x + 2)**2/3
Let l = -160/11 + 1252/77. Let x = l - 10/7. What is s in -6/7*s**3 + 0 - 6/7*s**2 - 2/7*s**4 - x*s = 0?
-1, 0
Let f be 1/2 - 68/(-8). Let n be (3/2)/(f/12). Factor -43*y - 4 + 29*y - 121*y**n - 30*y.
-(11*y + 2)**2
Let z(h) be the second derivative of -h**6/10 - 3*h**5/5 - 3*h**4/4 + 2*h**3 + 6*h**2 - 33*h + 1. Let z(p) = 0. Calculate p.
-2, -1, 1
Factor 1 - 2*a + 3*a**2 - 2*a**2 + 4*a.
(a + 1)**2
Let i(q) be the third derivative of q**2 - 1/60*q**5 + 0*q**4 + 0*q + 0*q**3 - 1/840*q**7 - 1/120*q**6 + 0. Factor i(l).
-l**2*(l + 2)**2/4
Let k = 4 - 2. Let m(h) = 4*h**3 - 4*h**2 - 2*h + 2. Let d(p) = 5*p**3 - 5*p**2 - p + 3. Let x(n) = k*d(n) - 3*m(n). Suppose x(w) = 0. Calculate w.
-1, 0, 2
Let k(m) be the first derivative of -m**6/30 - m**5/10 + 2*m**2 + 7. Let x(g) be the second derivative of k(g). Let x(n) = 0. What is n?
-3/2, 0
Let f = -3013/198 - -168/11. Let b(k) be the second derivative of -1/9*k**3 + 0*k**2 + 3*k + 0 + f*k**4. Solve b(x) = 0 for x.
0, 1
Let l(r) = -r**3 + 6*r**2 + 14*r + 6. Let g = -29 + 21. Let d be 3/(-2)*g/6. Let o(t) = 5*t**3 - 24*t**2 - 57*t - 23. Let m(c) = d*o(c) + 9*l(c). Factor m(f).
(f + 2)**3
Suppose 2*o + y + 8 = 3, 2*o + 15 = -3*y. Suppose -2 = -d - o*d. Factor t**2 - 5 + 2*t + t**d + 1.
2*(t - 1)*(t + 2)
Suppose 0 = -2*h - 1 - 7. Let v be (h/(-16))/(2/16). Factor 26/7*w**3 - 2/7*w - 18/7*w**v + 4/7 - 10/7*w**4.
-2*(w - 1)**3*(5*w + 2)/7
Suppose f = 4*s - 16, 5*s - 2*f - 13 - 7 = 0. Let d(b) be the first derivative of 1/7*b**2 + 1/14*b**s + 1 - 4/21*b**3 + 0*b. Factor d(k).
2*k*(k - 1)**2/7
Let d(i) be the first derivative of -i**5/45 + i**4/24 + i**3/18 + 2*i**2 - 1. Let b(l) be the second derivative of d(l). Factor b(m).
-(m - 1)*(4*m + 1)/3
Suppose -4*m + 6 = -m. Factor -w**2 - w**m - w**3 + 3*w**2 + w**2.
-w**2*(w - 2)
Let r(u) be the second derivative of u**9/30240 - u**8/20160 - u**7/5040 + u**6/2160 - u**4/12 - u. Let k(x) be the third derivative of r(x). Factor k(n).
n*(n - 1)*(n + 1)*(3*n - 2)/6
Let b = -183 - -1283/7. Suppose -3*i - 10 = o, -3*o = i + 2 - 4. Let -b*s**4 + 0 + 0*s - 4/7*s**3 + 0*s**o = 0. Calculate s.
-2, 0
Find p such that -12/7 + 4/7*p**2 - 8/7*p = 0.
-1, 3
What is y in 91*y - 2*y**2 - 90*y + 6 + y**3 - 2*y**2 = 0?
-1, 2, 3
Let b be ((-12)/5)/(1/(-5)). Factor o - 9*o**2 - 4*o + b*o**2.
3*o*(o - 1)
Let o be 98/31 - (4 + -2). Let h = 564/155 