-7*l + 6. Factor 1/4*n**3 + h*n + 5/4*n**2 + 1.
(n + 1)*(n + 2)**2/4
Find y, given that -4*y - 8*y + 14*y - 4*y - y**2 = 0.
-2, 0
Determine w so that 2/3*w**2 - 2*w + 4/3 = 0.
1, 2
Let g(y) be the third derivative of 0 + 0*y**5 - y**2 - 1/18*y**3 + 1/180*y**6 + 1/630*y**7 - 1/36*y**4 + 0*y. Determine d, given that g(d) = 0.
-1, 1
Let w(h) be the third derivative of -h**8/728 - 4*h**7/1365 + 2*h**6/195 + 3*h**5/65 + 11*h**4/156 + 2*h**3/39 - 14*h**2. Suppose w(c) = 0. Calculate c.
-1, -1/3, 2
Suppose -1/4*h**2 + 0 + 1/4*h**3 + 0*h = 0. Calculate h.
0, 1
Let b be (-52)/(-14) + (25/(-35) - -1). Let x(h) be the first derivative of 2/7*h**3 - 1/14*h**b - 1 - 3/7*h**2 + 2/7*h. What is g in x(g) = 0?
1
Let p(c) = 10*c**4 + 3*c**3 - 2*c**2 + 4*c - 1. Let x(m) = -3*m**4 - m**3 + m**2 - m. Let b(h) = 4*p(h) + 14*x(h). Suppose b(a) = 0. What is a?
-2, -1, 1
Let n(k) be the first derivative of 1 - 1/6*k**2 + 0*k - 1/18*k**3. Factor n(m).
-m*(m + 2)/6
Let k(v) be the second derivative of v**4/18 - v**3/3 + 2*v**2/3 - 4*v. Let k(d) = 0. Calculate d.
1, 2
Let k = -3 + 1. Let o be (-1)/(-12) + k/(-3). Factor 1/4*m**5 + 1/4*m**2 + 3/4*m**3 + 0 + 0*m + o*m**4.
m**2*(m + 1)**3/4
Let t(u) = -5 + 3*u**4 - 20*u**2 - 7*u**4 - 21*u**3 - 3*u + 0*u**3. Let l(q) = 2*q**4 + 10*q**3 + 10*q**2 + 2*q + 2. Let f(n) = -5*l(n) - 2*t(n). Factor f(i).
-2*i*(i + 1)**2*(i + 2)
Suppose -b = -2*b + 96. Let x(n) = -8 + n + 65*n**2 - 5 - b*n**3 + 6*n. Let z(s) = 64*s**3 - 43*s**2 - 5*s + 9. Let l(m) = 5*x(m) + 7*z(m). Factor l(o).
-2*(2*o - 1)**2*(4*o + 1)
Let u(w) be the second derivative of -3/10*w**5 - 2*w - 2/3*w**2 - 2/3*w**4 + 0 + 11/9*w**3. Factor u(i).
-2*(i + 2)*(3*i - 1)**2/3
Let r(n) be the third derivative of -1/70*n**7 + 1/20*n**5 - 1/40*n**6 + 0*n + 0*n**3 + 0 + n**2 + 1/8*n**4. Find v such that r(v) = 0.
-1, 0, 1
Factor -2*u**2 - 3*u**2 + 7*u**2 - u**2 + 3*u + 2.
(u + 1)*(u + 2)
Let c(q) be the third derivative of -1/336*q**8 + 0*q + 1/40*q**6 + 0*q**3 + 1/12*q**5 + 1/12*q**4 - 1/210*q**7 - q**2 + 0. Let c(a) = 0. Calculate a.
-1, 0, 2
Factor 0*m + 2/5*m**2 + 0 - 2/5*m**3 - 2/5*m**4 + 2/5*m**5.
2*m**2*(m - 1)**2*(m + 1)/5
Let s be (2*(-5)/(-50))/(4/30). Let d(h) be the first derivative of 39/4*h**4 - s*h**2 - 9*h**3 + 1 - 3*h**5 + 6*h. Let d(u) = 0. Calculate u.
-2/5, 1
Let q(x) = -6*x**4 - 21*x**3 - 42*x**2 - 27*x. Let y(n) = n**4 + 3*n**3 + 6*n**2 + 4*n. Let g(p) = 4*q(p) + 27*y(p). Let g(h) = 0. What is h?
-1, 0, 2
Determine v so that 16 + 2*v**2 - 3*v**2 + 0*v**2 + 2*v**2 + 8*v = 0.
-4
Let a(d) = d**2 + 32*d + 252. Let x(m) = -1. Let h(j) = -a(j) + 4*x(j). Solve h(n) = 0.
-16
Let j = -2/1076961 - -73353045/18667324. Let q = j + -7/39. Factor -27/4*p - q*p**3 - 9*p**2 - 3/2.
-3*(p + 1)**2*(5*p + 2)/4
Let k(v) be the third derivative of 0 - 2/15*v**3 - 1/300*v**5 - 3*v**2 - 1/30*v**4 + 0*v. Suppose k(x) = 0. What is x?
-2
Let i(n) be the second derivative of 2*n**2 - 1/2*n**4 + 3*n + 1/15*n**6 + 0 - 1/10*n**5 + 1/3*n**3. Let i(u) = 0. What is u?
-1, 1, 2
Let f be (20/(-10))/(1/(-1)). Suppose -2*u - 3*u = 0. Factor f*r**2 - 3*r**3 - r**3 + 2*r**4 + u*r**2.
2*r**2*(r - 1)**2
Let s be (-12)/(16/4) + 5. Factor 1/3*h**s + 1/3 - 2/3*h.
(h - 1)**2/3
Suppose 0*h - 3*h = -51. Determine f, given that 13*f - h*f - 4 + f**3 + 3*f**3 + 4*f**2 = 0.
-1, 1
Let c be ((-3)/(-9))/((-2)/78). Let q = 15 + c. Let 3/4*v**4 - v**q + 1/2*v**3 - 1/2*v + 1/4 = 0. What is v?
-1, 1/3, 1
Suppose 0 = -4*u - 3*u. Let x(f) be the third derivative of 2*f**2 - 1/45*f**5 + 1/180*f**6 - 1/36*f**4 + 0 + 2/9*f**3 + u*f. Factor x(k).
2*(k - 2)*(k - 1)*(k + 1)/3
Factor 3/2 + 3/2*f - 3/2*f**3 - 3/2*f**2.
-3*(f - 1)*(f + 1)**2/2
Let j(o) be the first derivative of -98*o**3/3 - 28*o**2 - 8*o - 1. Factor j(y).
-2*(7*y + 2)**2
Let c(h) be the first derivative of -1/10*h**5 - 2/3*h**3 + 2 + 5/12*h**4 + 0*h - h**2. Let w(a) be the second derivative of c(a). Factor w(y).
-2*(y - 1)*(3*y - 2)
Let z = 7 - 4. Let d(q) be the first derivative of 0*q**z + 2/21*q**6 + 1 + 0*q + 0*q**4 + 0*q**2 + 2/35*q**5. Suppose d(c) = 0. Calculate c.
-1/2, 0
Let n(t) be the second derivative of t**4/30 + 4*t**3/15 + 27*t. Factor n(y).
2*y*(y + 4)/5
Find w such that 16/7*w + 32/7 - 8/7*w**2 - 4/7*w**3 = 0.
-2, 2
Let m be (110/(-15) - -7)/((-2)/12). Let x(w) be the third derivative of 0*w + 1/132*w**4 + 0*w**5 - 1/660*w**6 + 0*w**3 - m*w**2 + 0. Solve x(g) = 0 for g.
-1, 0, 1
Let f(g) = 3*g**2 - 4*g - 5. Let n(a) = -5 + 4 - 2 + 2*a**2 - 2*a. Let y(t) = 3*f(t) - 5*n(t). Factor y(u).
-u*(u + 2)
Let p(t) be the first derivative of -2*t**5/7 - 3*t**4/14 + 2*t**3/3 + 3*t**2/7 - 4*t/7 + 3. Find j such that p(j) = 0.
-1, 2/5, 1
Let v(a) be the first derivative of -a**6/90 - a**5/30 + a**4/3 - 7*a**3/3 + 5. Let j(w) be the third derivative of v(w). Let j(s) = 0. Calculate s.
-2, 1
Let k be (-3 + 0 - -3)/2. Suppose k = 2*a + 1 - 9. Let -2*j**a - 5*j**3 - 4*j**3 + 3*j**3 - 4*j**2 = 0. Calculate j.
-2, -1, 0
Let n = 76/255 - 5/51. Factor -4/5 - 4/5*k - n*k**2.
-(k + 2)**2/5
Let j be (8/10)/((-3)/(-15)). Let k = 2 + -2. Factor -4*b**2 + k*b**4 + 2*b**j + 2*b**2.
2*b**2*(b - 1)*(b + 1)
Let f = 28663/45 - 6638/9. Let r = f - -101. Factor -2/5*k**2 - r + 4/5*k.
-2*(k - 1)**2/5
Let m(s) = -2*s + 0*s - 3*s**2 + 3 + 2*s**2. Let j be m(-3). Factor 0 - 2/3*z**4 - 2/3*z**5 + 0*z**2 + j*z**3 + 0*z.
-2*z**4*(z + 1)/3
Let d(z) be the third derivative of -z**8/5880 + z**6/1260 - 7*z**3/6 - 3*z**2. Let f(m) be the first derivative of d(m). Factor f(h).
-2*h**2*(h - 1)*(h + 1)/7
Let i(a) be the first derivative of 0*a - 1/6*a**2 - 1/9*a**3 - 2. Factor i(k).
-k*(k + 1)/3
Let y be (-1728)/(-672) - (0 - -2). Determine i, given that 2*i**3 + 2/7*i**2 - 2*i + y - 6/7*i**4 = 0.
-1, 1/3, 1, 2
Let 4*m**3 + 0 + 3/2*m**4 + 7/2*m**2 + m = 0. Calculate m.
-1, -2/3, 0
Let g be 1 - (-170)/24*(-28)/200. Let a(o) be the third derivative of 0*o + 1/12*o**4 - 1/40*o**5 + 0 + 1/3*o**3 + 2*o**2 - g*o**6 + 1/420*o**7. Factor a(i).
(i - 2)**2*(i + 1)**2/2
Let x(l) be the second derivative of -l**4/42 + 8*l**3/21 - 42*l. Factor x(r).
-2*r*(r - 8)/7
Let h(a) be the third derivative of -1/96*a**4 - 1/240*a**5 + 0*a + 1/24*a**3 + 3*a**2 + 0 + 1/480*a**6. Determine s so that h(s) = 0.
-1, 1
Suppose 0*w + 2*w = -2*n + 28, -3*w = 5*n - 42. Let m be (-20)/(-35)*w/4. Factor 0 + 1/2*p**m + 0*p.
p**2/2
Let a(w) = w**3 - 10*w**2 - 10*w - 7. Let v be a(11). Factor 36*n + 17*n**2 - v*n**2 + 12 + 2*n**2.
3*(n + 2)*(5*n + 2)
Let s(j) be the second derivative of 2*j**7/231 - j**6/165 - j**5/55 + j**4/66 + 10*j. Find a such that s(a) = 0.
-1, 0, 1/2, 1
Let v(g) be the third derivative of 0 - 1/90*g**5 + 1/18*g**4 - g**2 + 0*g + 0*g**3. Let v(h) = 0. Calculate h.
0, 2
Let x(b) be the first derivative of b**6/120 - b**5/20 + b**4/8 - b**3/6 - b**2/2 + 4. Let k(a) be the second derivative of x(a). Factor k(o).
(o - 1)**3
Let m be 2/(-4) - (-2)/(-4) - -4. Factor 2/11*l**m + 8/11*l**2 + 10/11*l + 4/11.
2*(l + 1)**2*(l + 2)/11
Let r(y) = -14*y**3 - 4*y**2 - 4*y + 4. Let b(u) = -14*u**3 - 4*u**2 - 5*u + 5. Let i(z) = 4*b(z) - 5*r(z). Factor i(s).
2*s**2*(7*s + 2)
Determine v so that -13*v**3 - 8 - 26*v**2 + 3*v**3 + 4*v**3 - 32*v = 0.
-2, -1/3
Let t(s) = -13*s**2 - 24*s - 4. Let n(m) = -39*m**2 - 73*m - 12. Let x(z) = 4*n(z) - 11*t(z). Let x(h) = 0. Calculate h.
-2, -2/13
Find i such that -18*i**3 + 0 - 8/5*i - 10*i**4 - 48/5*i**2 = 0.
-1, -2/5, 0
Let i be -1*(-6)/4 - 35/30. Solve 0 - 8/3*c**4 - i*c + 0*c**2 + 2*c**3 + c**5 = 0 for c.
-1/3, 0, 1
Let n(b) = b**4 + b**3 - b**2 + b. Let u(z) = -39*z**4 - 42*z**3 + 27*z**2 + 18*z - 6. Suppose 3 + 0 = r. Let l(w) = r*n(w) + u(w). Let l(j) = 0. What is j?
-1, 1/4, 2/3
Let f(q) be the first derivative of 0*q**4 - 1/9*q**3 + 0*q + 0*q**2 + 2 + 1/15*q**5. Factor f(z).
z**2*(z - 1)*(z + 1)/3
Let -3/7*b**4 + 6/7 - 9/7*b - 3/7*b**2 + 9/7*b**3 = 0. Calculate b.
-1, 1, 2
Let h(z) = -8*z**2 + 6*z + 2. Let f(x) = -7*x**2 + 6*x + 1. Let d(o) = -7*f(o) + 6*h(o). Let b be d(5). Factor 3*m + 3*m**2 + 0 + b - 3 + 3*m**2.
3*(m + 1)*(2*m - 1)
Let b = -11 + 11. Suppose b = j + 2*j. Factor u**4 - 1/3*u**5 + j*u + 0 + 1/3*u**2 - u**3.
-u**2*(u - 1)**3/3
Let l(w) be the third derivative of 1/100*w**5 + 0*w**4 + 0*w - 2*w**2 - 1/100*w**6 + 0 + 0*w**3 + 1/350*w**7. Factor l(g).
3*g**