- 1/150*b**7 + 0 - 3*b**2 + 1/15*b**3 + 1/120*b**4. Factor c(y).
-(y - 1)**3*(7*y + 2)/5
Let b(m) be the first derivative of -m**4/16 + m**3/4 + 18. Factor b(a).
-a**2*(a - 3)/4
Suppose -5*i + 2*s + 11 = 0, -2*s = 4*i - 4*s - 10. Let p(j) be the first derivative of 1/6*j**3 - 1/4*j**2 + i + 0*j. Factor p(l).
l*(l - 1)/2
Let q(j) be the first derivative of j**5/120 - j**3/12 - j**2/6 + 10*j + 5. Let s(h) be the first derivative of q(h). Factor s(r).
(r - 2)*(r + 1)**2/6
Suppose 3*c = 7*c + 8. Let j(h) = -h**3 - 2*h**2 - 3*h - 2. Let k be j(c). Factor 4*x**3 + 2/3*x**5 - 8/3*x**k - 8/3*x**2 + 0 + 2/3*x.
2*x*(x - 1)**4/3
Let l(p) = -p**2 + 2*p - 7. Let v(m) = m**2 - 4*m + 8. Let x(j) = 5*l(j) + 6*v(j). Let x(z) = 0. Calculate z.
1, 13
Let y = -8 - -9. Let s be y - ((-45)/21)/(-3). Solve s*k**3 - 2/7*k + 2/7*k**2 + 0 - 2/7*k**4 = 0.
-1, 0, 1
Let z(p) be the second derivative of -p**5/9 - p**4/9 + p**2 - 8*p. Let d(v) be the first derivative of z(v). Find i such that d(i) = 0.
-2/5, 0
Let l(p) be the third derivative of p**6/60 - p**5/15 - 5*p**2. Factor l(d).
2*d**2*(d - 2)
Let s(d) be the first derivative of -d**6/50 + 3*d**5/25 - d**4/4 + d**3/5 + 5*d + 8. Let h(v) be the first derivative of s(v). Factor h(c).
-3*c*(c - 2)*(c - 1)**2/5
Let a be (14 - 14) + (-4)/(-30). Let h(u) be the first derivative of 2/5*u**2 - 1 + 2/5*u + a*u**3. Factor h(d).
2*(d + 1)**2/5
Let t(c) be the first derivative of -c**3/3 + c**2 + 6. Factor t(j).
-j*(j - 2)
Suppose 4*l - 51 = -31. Find t, given that 18/7*t - 15/7*t**4 - 54/7*t**3 + 36/7*t**l + 3/7 + 12/7*t**2 = 0.
-1, -1/3, -1/4, 1
Let d be (-1)/3*2*-21. Suppose -2*q + 40 = 2*z + d, 0 = -3*q + 3*z + 9. Factor -q*u**3 + 0*u + 0 - 7/2*u**4 - 2*u**2.
-u**2*(u + 2)*(7*u + 2)/2
Let v(t) be the third derivative of -t**8/10080 + t**7/2520 + t**5/60 - 3*t**2. Let a(c) be the third derivative of v(c). Factor a(o).
-2*o*(o - 1)
Factor -7/4*k**2 - 1/2 + 9/4*k.
-(k - 1)*(7*k - 2)/4
Let h(g) be the first derivative of -1/3*g**3 + 1/2*g**2 - 2 + 0*g. What is s in h(s) = 0?
0, 1
Suppose -4*i + 2*v = -0*v, 5*i = -v + 14. Suppose 2/11*j**3 + 0*j + 0 - 2/11*j**i = 0. Calculate j.
0, 1
Let c(d) = -3*d**3 + 20*d**2 + 5*d + 16. Let l be c(7). Suppose 0 + 2/11*j + 2/11*j**l = 0. Calculate j.
-1, 0
Suppose 0 + 0*f**2 + 0*f + 1/2*f**5 + f**4 + 0*f**3 = 0. What is f?
-2, 0
Let j(g) = 4*g**2 - 7*g - 5. Let v(x) = -x**2 + x + 1. Let z(m) = j(m) + 5*v(m). Determine l, given that z(l) = 0.
-2, 0
Let c(g) be the second derivative of -g**6/10 - 3*g**5/20 + g**4/2 + 22*g. Factor c(d).
-3*d**2*(d - 1)*(d + 2)
Determine t, given that -6*t**3 + 0*t + 3*t + 24*t**5 - 21*t**5 = 0.
-1, 0, 1
Factor -34*f**3 - 4 + 6*f**3 + 68*f**4 - 5*f**4 - 45*f**2 + 28*f - 14*f**4.
(f - 1)*(f + 1)*(7*f - 2)**2
Suppose 3*x = h + 20, 3*h + 4 - 10 = -2*x. Find d such that -3*d**4 - 1 + x*d**4 - 6*d**2 + 4 = 0.
-1, 1
Let i = -17 - -9. Let b = -6 - i. Factor a**2 - 2 + a**2 - 2*a**4 + 2*a**b.
-2*(a - 1)**2*(a + 1)**2
Let j(v) be the third derivative of -v**10/151200 + v**8/16800 - v**6/3600 + v**4/24 - 3*v**2. Let o(y) be the second derivative of j(y). Factor o(s).
-s*(s - 1)**2*(s + 1)**2/5
Let d = 3 + -1. Factor p**2 + 14*p**3 - 15*p**3 + p**4 + p - d*p**2.
p*(p - 1)**2*(p + 1)
Let x = -71/3 - -25. Let t = -97 + 301/3. Determine g so that 4/3 + t*g + x*g**2 = 0.
-2, -1/2
Let l be (16/144)/((-1)/(-4)). Factor -2/9 + l*c**2 - 2/9*c + 4/9*c**3 - 2/9*c**4 - 2/9*c**5.
-2*(c - 1)**2*(c + 1)**3/9
Factor 156*h**3 + h**5 + 40*h**4 + 96 + 272*h + 296*h**2 - 2*h**5 + 5*h**5.
4*(h + 1)*(h + 2)**3*(h + 3)
Let s = -344/5 + 376/5. Factor -s - 2/5*r**2 + 16/5*r.
-2*(r - 4)**2/5
Let p = 3 + 0. Determine u, given that -4*u**4 - 3*u**p + 7*u**4 + u - 3*u**2 + 2*u = 0.
-1, 0, 1
Let p = 37/52 - 6/13. Suppose 0 = -5*y - 0*y. Solve y + 1/2*i**2 + 1/4*i + p*i**3 = 0 for i.
-1, 0
Let n be 12/30*(-4 - -6). Let m = 21/65 + 1/13. Suppose m*u**2 + n + 6/5*u = 0. Calculate u.
-2, -1
Let a(q) be the first derivative of -1/3*q + 1/9*q**3 + 0*q**2 + 5. Find s, given that a(s) = 0.
-1, 1
Factor 0 - 1/2*v - 1/6*v**2.
-v*(v + 3)/6
Suppose 4*k - 16 = g, -3*g + 0 - 13 = -5*k. Suppose 3*q + v - 5 - 3 = 0, v = g*q - 6. Factor l**3 + 4*l**2 - 2*l - q*l**4 + l**3 - 2*l**2.
-2*l*(l - 1)**2*(l + 1)
Factor 0*d - 10/3*d**4 + 0 - 2*d**2 - 14/3*d**3 - 2/3*d**5.
-2*d**2*(d + 1)**2*(d + 3)/3
Let 10/11*s**3 - 2/11*s**4 + 0 + 8/11*s - 16/11*s**2 = 0. Calculate s.
0, 1, 2
Let v be (5/(-10))/(1/(-6)). Let k(i) be the second derivative of 0*i**6 + 1/100*i**5 - 1/210*i**7 + 0*i**2 - i + 0 + 0*i**4 + 0*i**v. Factor k(f).
-f**3*(f - 1)*(f + 1)/5
Factor 0*k + 0 - 2/5*k**2.
-2*k**2/5
Let i(b) = 7*b**3 - b**2 - 3*b + 1. Let r(z) = -8*z**3 + 2*z**2 + 3*z - 2. Let v(f) = 5*i(f) + 4*r(f). What is c in v(c) = 0?
-1, 1
Let c(q) = -32*q**2 + 13*q - 32. Let f(j) = -11*j**2 + 4*j - 11. Let v(a) = 6*c(a) - 17*f(a). Let v(x) = 0. What is x?
1
Factor -125*v**3 + 71*v**2 + 40 + 119*v**2 + 3*v + 40*v**4 - 5*v**5 - 79*v - 64*v.
-5*(v - 2)**3*(v - 1)**2
Let n = 20 + -15. Suppose -20 = 5*t - 3*y - y, t + n*y - 25 = 0. Solve 1/2*u**3 + 0*u**2 + t - 1/2*u**4 + 0*u = 0 for u.
0, 1
Let l(t) be the third derivative of t**7/840 + t**6/120 + t**5/40 + t**4/24 - t**3 - 7*t**2. Let f(g) be the first derivative of l(g). Factor f(s).
(s + 1)**3
Let a(p) be the second derivative of -5/12*p**3 + 1/15*p**6 + 0 - 1/2*p**2 - 2*p - 1/12*p**4 + 1/84*p**7 + 1/10*p**5. Find b such that a(b) = 0.
-2, -1, 1
Factor -15/2*h - 7/2*h**2 - 9/2 - 1/2*h**3.
-(h + 1)*(h + 3)**2/2
Let v = 883/3933 + -1/437. Let -10/9*r**3 + 2/9*r**5 - 8/9 + 16/9*r - v*r**2 + 2/9*r**4 = 0. What is r?
-2, 1
Let h(x) be the first derivative of 8*x**3/3 + x**2/2 + x + 4. Let i be h(-1). Let 1 - 11/2*o - 7/2*o**3 + i*o**2 = 0. What is o?
2/7, 1
Let a(n) = -n**3 + 2*n**2 + 2*n - 4. Let u be a(3). Let j be ((7/2)/u)/(-1). Factor 1/2*q + 0 - j*q**3 + 0*q**2.
-q*(q - 1)*(q + 1)/2
Let v(p) be the second derivative of -5*p**4/3 + 16*p**3/3 - 6*p**2 - 9*p. Find q such that v(q) = 0.
3/5, 1
Let b(g) = -4*g**3 - 4*g**2 + 16*g + 7. Let f(q) = -q**3 - q**2 + 4*q + 2. Let p(n) = -4*b(n) + 18*f(n). Determine v, given that p(v) = 0.
-2, -1, 2
Let v = -13 - -17. Let b(t) be the third derivative of 0*t - 1/315*t**7 + 0*t**3 - t**2 + 1/90*t**5 + 0*t**v + 0 - 1/180*t**6 + 1/504*t**8. Factor b(k).
2*k**2*(k - 1)**2*(k + 1)/3
Let c(b) be the first derivative of 1/3*b**2 + 4/3*b - 2 - 2/9*b**3. Factor c(i).
-2*(i - 2)*(i + 1)/3
Let r(a) = -2*a - 6. Let p be r(-8). Let x be 24/10*p/21. Determine c so that x*c**4 - 10/7*c - 6/7*c**2 + 10/7*c**3 - 2/7 = 0.
-1, -1/4, 1
Let t = 0 + 2. Solve 2*y**5 - t*y**3 - y**2 - 2*y**4 + 0*y**4 + 3*y**2 = 0 for y.
-1, 0, 1
Let p = 48 + -671/14. Let s(b) be the first derivative of 0*b - 2/7*b**2 - 2 - p*b**4 - 2/7*b**3. Let s(k) = 0. Calculate k.
-2, -1, 0
Let f(c) = -c**3 - 5*c**2 - 3*c - 1. Let d be f(-5). Factor p - 6*p**4 + 7*p - 4*p - d*p**2 + 16*p**3.
-2*p*(p - 1)**2*(3*p - 2)
Suppose -v - 1 = -3. Factor -p**4 + 0*p**2 + p - p**3 + v*p**2 - p**2.
-p*(p - 1)*(p + 1)**2
Factor 3/7*w**3 - 18/7*w**2 + 3/7*w**4 - 12/7*w + 24/7.
3*(w - 2)*(w - 1)*(w + 2)**2/7
Let o(l) be the second derivative of -l**7/140 - l**6/40 - 4*l**2 - 6*l. Let f(a) be the first derivative of o(a). Factor f(g).
-3*g**3*(g + 2)/2
Let c(v) be the third derivative of v**8/6720 - v**7/1890 + v**6/2160 + v**4/8 + 5*v**2. Let q(x) be the second derivative of c(x). Factor q(f).
f*(f - 1)*(3*f - 1)/3
Let y(l) be the third derivative of l**6/1440 + l**5/480 - l**3/6 + l**2. Let v(a) be the first derivative of y(a). Factor v(h).
h*(h + 1)/4
Let c(y) be the first derivative of 0*y + 0*y**4 - 1 + 0*y**2 + 0*y**3 - 2/15*y**5. Let c(r) = 0. Calculate r.
0
Let g(k) be the third derivative of k**8/240 - k**7/525 - 7*k**6/600 + k**5/150 + 4*k**2. Let g(j) = 0. Calculate j.
-1, 0, 2/7, 1
Let t(y) be the third derivative of -5*y**8/336 - 11*y**7/105 - 11*y**6/40 - y**5/3 - y**4/6 + 10*y**2. Find w such that t(w) = 0.
-2, -1, -2/5, 0
Suppose -m + 9*m = 2*m. Let o(w) be the second derivative of 0*w**3 - w - 1/30*w**4 + 0*w**2 + m + 1/50*w**5. Factor o(i).
2*i**2*(i - 1)/5
Let p be 14/2 + 0/3. Let v = -6 + p. Let s(b) = -3*b**2 + b. Let a(r) = -r**3 + r**2 - r. Let w(o) = v*s(o) + a(o). Factor w(n).
-n**2*(n + 2)
Let d(o) be the f