ivative of j**5/12 + 5*j**4/6 + 10*j**3/3 - 6*j**2. Factor v(w).
5*(w + 2)**2
Factor 2*z**2 + 4*z**3 + 1 + 2*z**2 - z - 5 - 3*z.
4*(z - 1)*(z + 1)**2
Determine g, given that 0*g**3 + 1/2*g**4 - 1/2*g**2 + 0*g + 0 = 0.
-1, 0, 1
Let j be 3/(-9) - 30/(-9). Suppose -5*y = -3*g + g + 4, -j*y = 3*g - 6. Determine d so that 0*d + 0*d**2 - 1/3*d**3 + y = 0.
0
Suppose 0*w - 1 = 2*w - u, 5*w + 2*u - 11 = 0. Let y = 4 - w. Find a such that -2*a**5 + 2*a**y - 4*a**3 + 4*a**3 = 0.
-1, 0, 1
Let k(t) = 3*t**3 - t**2 + 1. Let q = 3 + -2. Let l be k(q). Factor -8/9*x**l + 0*x**2 + 0 + 0*x - 70/9*x**5 + 16/3*x**4.
-2*x**3*(5*x - 2)*(7*x - 2)/9
Suppose -79*x + 2*z = -78*x - 2, 3*x = -z + 20. Find l, given that 22/3*l**4 + 4/3*l**3 + x*l**5 + 0*l + 0 + 0*l**2 = 0.
-1, -2/9, 0
Let i(f) = -7*f**4 + 53*f**2 - 22*f - 8. Let s(c) = 2*c**4 - 18*c**2 + 7*c + 3. Let z(w) = 3*i(w) + 8*s(w). Factor z(j).
-5*j*(j - 1)**2*(j + 2)
Let u(y) be the third derivative of -y**5/540 + 11*y**4/108 - 121*y**3/54 - 24*y**2. Factor u(j).
-(j - 11)**2/9
Let x(y) be the first derivative of y**5/20 - y**4/2 + 2*y**3 + 3*y**2/2 - 7. Let h(z) be the second derivative of x(z). Factor h(a).
3*(a - 2)**2
Let z = -25 - -25. Factor 4/11*o - 4/11*o**3 + z*o**2 - 2/11 + 2/11*o**4.
2*(o - 1)**3*(o + 1)/11
Let f(n) = -n**3 - 8*n**2 - 3. Let w be f(-8). Let a = 5 + w. Factor -3*q**3 + a*q**3 + q**2 + 0*q**5 + q**5 - q**4.
q**2*(q - 1)**2*(q + 1)
Let b(j) = j**3 - 5*j**2 - 5*j - 2. Let n be b(5). Let i be 0 + (-2)/(30/n). Factor i + 6/5*s + 1/5*s**2.
(s + 3)**2/5
Let k(a) be the first derivative of -3/5*a**5 + 0*a - 6 + 5/6*a**6 + 0*a**2 - 1/2*a**4 + 0*a**3. Factor k(l).
l**3*(l - 1)*(5*l + 2)
Let l(f) be the third derivative of f**6/280 - f**5/210 - f**4/168 - 2*f**2. Suppose l(y) = 0. What is y?
-1/3, 0, 1
Suppose -3*r**2 + 0*r**2 + 4*r + 0 - r**2 + 8 = 0. Calculate r.
-1, 2
Factor 4*t**3 + 0 + 16/11*t - 56/11*t**2 - 10/11*t**4.
-2*t*(t - 2)**2*(5*t - 2)/11
Suppose 5*a + 279 + 891 = 0. Let t be (-4)/(-18) - 767/a. Determine r so that -7/4*r - 7/4*r**5 + t*r**3 - r**2 + 1/2 + 1/2*r**4 = 0.
-1, 2/7, 1
Factor -o - 4*o**2 - o + 0*o - 2*o**3.
-2*o*(o + 1)**2
Factor 0*g**2 + 3*g**2 - 857*g + 902*g.
3*g*(g + 15)
Find b such that 5/8*b**2 - 1/8*b**3 - 1/2*b + 0 = 0.
0, 1, 4
Let j be (-2)/(-11) - (-1840)/44. Let h = j - 25. Factor -16*w + 4*w**2 + 2*w**4 + 1 + 3 - 11*w**3 + h*w**2.
(w - 2)**2*(w - 1)*(2*w - 1)
Suppose 0*j + 9 = 3*j. Let r = 1 + 1. Suppose -j*i**2 - 1 + i**4 + 2 + i**r = 0. What is i?
-1, 1
Let c = -7 + 9. Factor -b**2 - 3*b + b**2 - 5*b**c + 2*b**2.
-3*b*(b + 1)
Suppose 65*j**2 - 75*j**2 + 5*j**5 - 5*j - j**4 + 11*j**4 = 0. What is j?
-1, 0, 1
Let p be 1/(-165)*9195/(-10). Let l = -43/10 + p. Solve -l*w**2 + 18/11*w - 4/11 = 0 for w.
2/7, 1
Suppose -2*o - 8 = -6*o. Let p be o/8 + 21/12. Let 0*n**2 + n**4 + 0*n**4 + 3*n**3 + 4*n**p - 2*n**2 = 0. What is n?
-2, -1, 0
What is k in -4/3 - 2/3*k**2 + 2*k = 0?
1, 2
Let y = 974/2497 + -6/227. Let b = 3/22 + y. Find n such that 1/4*n**3 + 0*n**2 + 1/4*n**5 + 0 - b*n**4 + 0*n = 0.
0, 1
Let d(k) be the first derivative of 1/7*k**3 - 1/70*k**5 + 2 + 0*k**4 - 2*k + 2/7*k**2. Let g(y) be the first derivative of d(y). Factor g(t).
-2*(t - 2)*(t + 1)**2/7
Let a(i) = -10*i**5 - 10*i**4 + 4*i**3 - 20*i**2 + 12*i. Let j be 4/(-2) - 56/(-4). Let o(d) = d**5 + d**3 + d**2 - d. Let y(f) = j*o(f) + a(f). Factor y(s).
2*s**2*(s - 2)**2*(s - 1)
Let r(f) be the first derivative of -f**6/360 - f**5/60 - f**4/24 + f**3 + 3. Let t(v) be the third derivative of r(v). Determine c so that t(c) = 0.
-1
Let z = -3 + -2. Let t(r) = -2*r - 7. Let m be t(z). Suppose -2*j**2 + m - 1 + 0 = 0. What is j?
-1, 1
Let t(y) be the first derivative of y**4/42 - 2*y**3/7 + 9*y**2/7 - 3*y + 2. Let z(g) be the first derivative of t(g). Factor z(o).
2*(o - 3)**2/7
Let x(m) be the third derivative of 0 + 5/24*m**4 + 1/3*m**3 + 1/15*m**5 + 0*m + 1/120*m**6 - 6*m**2. Factor x(k).
(k + 1)**2*(k + 2)
Let b(x) be the first derivative of -1/2*x**4 + x + 1/12*x**6 - 1/3*x**3 + 0*x**5 + 3/4*x**2 + 5. Suppose b(q) = 0. What is q?
-1, 1, 2
Let o(s) be the first derivative of -s**5/10 + 5*s**4/8 - s**3/2 - 5*s**2/4 + 2*s + 12. Let o(w) = 0. Calculate w.
-1, 1, 4
Let -18/7 + 3/7*a**3 - 15/7*a + 6/7*a**2 = 0. What is a?
-3, -1, 2
Factor 4/5*n + 3/5 + 1/5*n**2.
(n + 1)*(n + 3)/5
Factor 20/19*f + 0 + 2/19*f**2.
2*f*(f + 10)/19
Let a(n) be the first derivative of 7*n**4/2 - 4*n**3/3 - 7*n**2 + 4*n - 44. Solve a(l) = 0 for l.
-1, 2/7, 1
Determine u, given that 14/5*u**5 - 4/5*u**2 + 4/5*u**4 - 14/5*u**3 + 0*u + 0 = 0.
-1, -2/7, 0, 1
Suppose -2/17*h**5 - 2/17*h**4 - 2/17 + 4/17*h**2 + 4/17*h**3 - 2/17*h = 0. Calculate h.
-1, 1
Let z(r) be the first derivative of r**3/24 - r**2/16 + 1. Solve z(k) = 0 for k.
0, 1
Let l(j) = j**2 - j. Let g(h) = -7*h**2 + 6*h. Let m(d) = g(d) + 6*l(d). Let z(w) = -3*w**2 + 3*w + 2. Let x(p) = 4*m(p) - z(p). Factor x(r).
-(r + 1)*(r + 2)
Let w(d) be the second derivative of 2*d + 1/24*d**3 - 1/80*d**5 - 1/48*d**4 + 1/120*d**6 + 0*d**2 + 0. Determine k so that w(k) = 0.
-1, 0, 1
Determine j so that 14*j**2 - 3*j**3 + 5*j**5 - 7*j**2 - 2*j + 7*j**4 - 5*j**2 - 9*j**2 = 0.
-1, -2/5, 0, 1
Let a = 18 - 12. Let d(y) be the second derivative of 1/4*y**4 + 0*y**2 + 1/3*y**3 + 0 - 7/20*y**5 + 5/42*y**7 - 1/10*y**a - y. Factor d(w).
w*(w - 1)**2*(w + 1)*(5*w + 2)
Suppose 2/3*u**4 - 2/3*u**2 - 2/3*u**3 + 2/3*u + 0 = 0. What is u?
-1, 0, 1
Factor 16*y + 3*y**2 - 16673 + 16689 + y**2.
4*(y + 2)**2
Let i = 68 + -63. Let n(o) be the third derivative of 0*o + 7/48*o**4 + 1/60*o**i + 2*o**2 - 7/240*o**6 + 0 - 1/6*o**3. Suppose n(k) = 0. Calculate k.
-1, 2/7, 1
Let g(m) be the third derivative of m**8/1512 - 4*m**7/945 + m**6/135 + m**5/135 - 5*m**4/108 + 2*m**3/27 + 6*m**2. Determine d so that g(d) = 0.
-1, 1, 2
Solve -35*l**3 - 4*l - 3*l**3 - 40*l**4 - 6*l**4 + 2*l + 50*l**2 - 4 + 40*l**5 = 0 for l.
-1, -1/4, 2/5, 1
Let g(a) be the second derivative of -a**5/20 - a**4/4 - a**3/3 - 11*a. Factor g(c).
-c*(c + 1)*(c + 2)
Let q(r) = -57*r**2 + 57*r + 33. Let c(t) = -7*t**2 + 7*t + 4. Let l(b) = -33*c(b) + 4*q(b). Factor l(n).
3*n*(n - 1)
Let k(f) be the third derivative of -f**8/2856 - f**7/1785 + f**6/510 - 15*f**2. Solve k(b) = 0 for b.
-2, 0, 1
Let c(j) be the third derivative of j**6/840 + j**5/210 - j**4/168 - j**3/21 + 3*j**2. Factor c(i).
(i - 1)*(i + 1)*(i + 2)/7
Let c(j) = -j + 13. Suppose -5*f = -10*f - 5*o + 70, -3*f + 32 = o. Let b be c(f). Determine u, given that 4*u - 2*u**3 - 2*u**3 + 0*u**4 + 2*u**4 + 2 - b = 0.
-1, 1
Let r(i) = -3*i + 1. Let j(m) = 16*m - 5. Let a(n) = 2*j(n) + 11*r(n). Let s be a(-1). Suppose 1/4*p**s - 1/4*p - 1/2 = 0. What is p?
-1, 2
Let c(r) = 6*r**3 - 6*r**2 - 6*r - 16. Let z(o) = -o**3 + o**2 + o + 3. Let y(f) = -6*c(f) - 33*z(f). Let y(n) = 0. Calculate n.
-1, 1
Let a(h) = 2*h**2 + 2*h - 1. Let b be a(-2). Suppose -r + 2 = -b. Let 2/9*y**3 - 2/9*y**r - 2/9*y**4 + 0*y + 2/9*y**2 + 0 = 0. Calculate y.
-1, 0, 1
Let x(v) be the first derivative of -5*v**7/63 - 7*v**6/45 - v**5/15 - 4*v - 5. Let j(c) be the first derivative of x(c). Factor j(d).
-2*d**3*(d + 1)*(5*d + 2)/3
Let h(v) be the third derivative of -v**7/2940 + v**5/420 + v**3/3 + 3*v**2. Let a(g) be the first derivative of h(g). Solve a(f) = 0.
-1, 0, 1
Let w(c) be the second derivative of 25*c**7/42 - 17*c**6/3 + 249*c**5/20 - 31*c**4/3 + 10*c**3/3 + 13*c. Factor w(v).
v*(v - 5)*(v - 1)*(5*v - 2)**2
Let a(b) = b**2 + 9*b + 6. Let v be a(-8). Let p be v/(-2*(2 - -1)). Factor -1/3*c**2 + 1/3*c**4 - 1/3*c**3 + 0 + p*c.
c*(c - 1)**2*(c + 1)/3
Let k be 2/3 + 28/12. Factor -r**3 - 10*r**5 + 2*r**k + 9*r**5.
-r**3*(r - 1)*(r + 1)
Let h(r) be the second derivative of -r**8/3080 + r**7/2310 + r**3/6 - 2*r. Let c(z) be the second derivative of h(z). Suppose c(f) = 0. What is f?
0, 2/3
Suppose 2*r = -3*r. Let n(x) be the third derivative of 1/120*x**6 + 1/24*x**4 + 0*x + r + 0*x**3 - 1/30*x**5 - x**2. Factor n(a).
a*(a - 1)**2
Let d be ((-130)/(-39))/(2/3)*1. Let j(w) be the second derivative of 0 + 3*w + 0*w**2 - 1/9*w**3 + 1/90*w**6 + 0*w**d - 1/12*w**4. Factor j(g).
g*(g - 2)*(g + 1)**2/3
Let y be 33/198*(17 + 1)*1. Let a(r) = r**2 - 5*r. Let g be a(5). Factor 0*s + 1/4*s**y + g - 1/2*s**2.
s**2*(s - 2)/4