ve of -h**4/8 - 3*h**3/2 - 15*h**2/4 + 25*h/2 - 17. Factor a(n).
-(n - 1)*(n + 5)**2/2
Determine s so that -2/9*s**3 - 2/3*s + 2/9 + 2/3*s**2 = 0.
1
Suppose -4*x + 2*g = 5*g - 30, -x - 4 = -5*g. What is o in -x*o**2 - 3*o + 5*o + 2*o = 0?
0, 2/3
Factor 4/5 + 2/5*s**3 + 8/5*s**2 + 2*s.
2*(s + 1)**2*(s + 2)/5
Let c(d) = -57*d + 1. Let r be c(-1). Let p = r - 272/5. Find o such that -p*o**4 + 22/5*o**2 - 6*o**3 + 4/5 + 22/5*o = 0.
-2, -1/3, 1
Let u(f) be the third derivative of f**8/2184 - f**7/1365 - f**6/390 + f**5/195 + f**4/156 - f**3/39 + f**2. Let u(w) = 0. What is w?
-1, 1
Let x be 0/((2 - 4) + -1). Factor x*o - 1/5*o**2 + 1/5*o**3 + 0.
o**2*(o - 1)/5
Let j = 1/7 - 0. Let c(y) be the first derivative of 0*y**2 - 2/35*y**5 + 0*y - 2/21*y**3 + j*y**4 + 1. Solve c(q) = 0.
0, 1
Let c(y) be the second derivative of -y**5/30 - 7*y**4/18 + 8*y**3/9 + 10*y. Find s such that c(s) = 0.
-8, 0, 1
Factor 5*j + 406 + 33*j**3 + 33*j**2 - 2*j - 412 + 9*j**4.
3*(j + 1)**2*(j + 2)*(3*j - 1)
Let i = 1160 + -1160. What is o in o**2 + i - o**4 + 0*o**3 - 1/2*o**5 + 1/2*o = 0?
-1, 0, 1
Suppose 0*n + 2*n = -2, 5*n = -5*y + 5. Let m(s) be the third derivative of 0 + 1/120*s**6 + 0*s**4 + 0*s + 1/60*s**5 + 0*s**3 + 2*s**y. Factor m(z).
z**2*(z + 1)
Suppose 4*s = b + 30, s - 3*s + 10 = -3*b. Determine m so that -2 + 2*m**2 + 5 + 5 - s*m = 0.
2
Let w(l) = -19*l**3 + 25*l**2. Let v(n) = -3*n**3 + 4*n**2. Let u(c) = -39*v(c) + 6*w(c). Factor u(g).
3*g**2*(g - 2)
Let b = 87 - 87. Determine z, given that b - 1/3*z + 1/3*z**2 = 0.
0, 1
Let g(l) = 6*l**4 + 17*l**3 - l**2 - 17*l + 5. Let d(b) = -15*b**4 - 42*b**3 + 3*b**2 + 42*b - 12. Let p(s) = 5*d(s) + 12*g(s). Find r, given that p(r) = 0.
-2, -1, 0, 1
Factor -7*k**2 + 2*k**4 - k**2 + 10*k**4 - 4*k**4 + 4*k - 4*k**3.
4*k*(k - 1)*(k + 1)*(2*k - 1)
Factor -4*m + 2*m**2 + 2 - 4 + m**2 + 3*m**2.
2*(m - 1)*(3*m + 1)
Let k(f) be the first derivative of -4/9*f**3 + 13/18*f**4 - 8/15*f**5 + 2 + 0*f + 1/9*f**2 + 4/27*f**6. Factor k(x).
2*x*(x - 1)**2*(2*x - 1)**2/9
Suppose 0 = -z + w + 7, 43*z + 3*w + 25 = 48*z. Find g such that -2/3*g**3 + 0 + z*g**2 - 4/3*g = 0.
0, 1, 2
Let z(k) = -2*k**3 - 18*k**2 - 12*k - 5. Let h(p) = -5*p**3 - 55*p**2 - 35*p - 15. Let s(w) = -3*h(w) + 10*z(w). Find g, given that s(g) = 0.
-1
Let a(n) = -4*n**3 + n**2 - 6*n + 4. Let p(c) = -c**3 - c + 1. Let w(m) = m**3 - 2*m**2 - 4*m + 4. Let i be w(3). Let o(f) = i*a(f) - 5*p(f). Factor o(y).
(y - 1)*(y + 1)**2
Suppose -2*n = -5*g + 19, 0*g - 12 = n - 3*g. Find y such that 3*y**n - y - 3*y**4 - 2*y - y**2 + 4*y**2 = 0.
-1, 0, 1
Let w be (1*1/(-1))/1. Let l(u) = -8*u**5 + 5*u**4 - 4*u**3 + 7*u**2. Let z(c) = c**5 - c**4 + c**3 - c**2. Let a(p) = w*l(p) - 6*z(p). Factor a(b).
b**2*(b - 1)*(b + 1)*(2*b + 1)
Factor -2/7*i**2 + 0 + 2/7*i.
-2*i*(i - 1)/7
Let b = -7 - -23/3. Let t = -8 - -10. Let 4/3*g**2 + 4*g**3 - 2*g - b - 2/3*g**4 - t*g**5 = 0. Calculate g.
-1, -1/3, 1
Let p(l) be the third derivative of l**6/120 - 3*l**5/20 - l**4/24 + 2*l**3 + l**2. Let x be p(9). Solve 2*a + 3*a - 8*a**2 - 2*a**x + 4*a**3 + 3*a = 0.
0, 2
Let d(w) = 15*w**5 - 31*w**4 + 25*w**3 - 9*w**2 + 9*w + 9. Let p(s) = 4*s**5 - 8*s**4 + 6*s**3 - 2*s**2 + 2*s + 2. Let b(o) = 2*d(o) - 9*p(o). Factor b(y).
-2*y**3*(y - 1)*(3*y - 2)
Let d = 8696/7821 - 2/2607. Let 44/9*a**3 + d*a**5 - 4*a**4 - 16/9*a**2 - 2/3*a + 4/9 = 0. What is a?
-2/5, 1
Let p(q) be the first derivative of -q**5/12 + q**4/3 - q**3/2 + q**2/3 - q + 3. Let l(a) be the first derivative of p(a). Factor l(o).
-(o - 1)**2*(5*o - 2)/3
Let i(s) be the third derivative of -169*s**6/1140 - 26*s**5/285 - s**4/57 + 11*s**2. Suppose i(k) = 0. Calculate k.
-2/13, 0
Let h(b) = -b**3 + 6*b**2 + b - 3. Let r be h(6). Factor -2*w**5 - w**2 + 8*w**3 + 2 - 2*w - 4*w**3 + 2*w**4 - r*w**2.
-2*(w - 1)**3*(w + 1)**2
Let t(w) = w**2 - w + 1. Let v(s) = 40*s**3 - 41*s**3 + 0 + 7 + 2 + 7*s**2 - 4*s. Let b(o) = 14*t(o) - 2*v(o). Factor b(p).
2*(p - 2)*(p + 1)**2
Suppose -b = -4*b + 6. Suppose -4*g + 3*s + 0 = 4, 5*s = b*g + 16. Factor m - 2*m**2 - 3*m**2 + 6*m**g - 2.
(m - 1)*(m + 2)
Let s be -2 + -1 + 5 + -1. Determine z, given that 2/3*z + s - 1/3*z**2 = 0.
-1, 3
Let j(l) be the third derivative of 3*l**8/448 + l**7/70 - 23*l**6/480 - 9*l**5/40 - 3*l**4/8 - l**3/3 + 14*l**2. Find o, given that j(o) = 0.
-1, -2/3, 2
Let w(j) be the third derivative of 0 + 0*j + 1/60*j**5 + 1/60*j**4 - 5*j**2 + 0*j**3. Factor w(o).
o*(5*o + 2)/5
Suppose -3*h = -y + 15, -h = -8*y + 3*y + 19. Let n = -4 - -8. Suppose 0 - 1/5*p**2 - 1/5*p**y + 1/5*p**n + 1/5*p = 0. What is p?
-1, 0, 1
Let a(h) be the first derivative of h**3/3 - h**2/2 - 2*h - 5. Let a(k) = 0. Calculate k.
-1, 2
Suppose 1/7*v**2 + 0*v + 2/7*v**3 + 0 + 1/7*v**4 = 0. What is v?
-1, 0
Let m(h) be the first derivative of 9/8*h**4 - 9/4*h**2 + h + 3 - 1/3*h**3. Factor m(g).
(g - 1)*(g + 1)*(9*g - 2)/2
Let z(t) = -t**5 - t**4 + t**3 - t**2 + t + 1. Let x(g) = -4*g**5 - 12*g**4 + 4*g**3 - 4*g**2 + 8*g + 8. Let j(l) = -x(l) + 8*z(l). Solve j(m) = 0.
-1, 0, 1
Let r(q) be the second derivative of -q**7/84 + q**6/15 - 3*q**5/20 + q**4/6 - q**3/12 - 5*q. Find n such that r(n) = 0.
0, 1
Let r(d) be the second derivative of -7*d**6/15 + 3*d**5 - 6*d**4 + 8*d**3/3 + 32*d. Factor r(g).
-2*g*(g - 2)**2*(7*g - 2)
Let s(t) = -t**3 - t**2 + 2*t + 3. Let r be s(-2). Factor -659*o**3 + 54*o**r + 68*o - 3 - 23*o**2 - 5 + o**2.
-(5*o + 2)*(11*o - 2)**2
Let u be (-4)/6 + 77/84. Let c(g) be the first derivative of 1/16*g**4 + 0*g + u*g**2 - 4 - 1/4*g**3. Solve c(b) = 0 for b.
0, 1, 2
Let d(k) be the first derivative of 1/5*k**2 - 1/3*k**3 + 2/15*k**4 - k + 2. Let t(n) be the first derivative of d(n). Determine z, given that t(z) = 0.
1/4, 1
Let f = 4/805 - -202/5635. Let a = 382/245 + f. Let a - 74/5*i**2 - 84/5*i**4 - 158/5*i**3 + 8/5*i = 0. What is i?
-1, -2/3, -1/2, 2/7
Let i(x) be the first derivative of -1/12*x**4 - 1 + 1/2*x**2 - x + 0*x**3. Let d(w) be the first derivative of i(w). Determine u so that d(u) = 0.
-1, 1
Let s(w) be the first derivative of -1/3*w**2 + 5 + 1/9*w**3 + 0*w + 1/12*w**4. Find l such that s(l) = 0.
-2, 0, 1
Factor -1/2*w + 1/3 + 1/6*w**2.
(w - 2)*(w - 1)/6
Let m(w) be the third derivative of 0*w**3 - 1/60*w**5 + 0*w + 2*w**2 + 1/12*w**4 + 0. Let m(d) = 0. Calculate d.
0, 2
Let a(s) be the second derivative of s**6/150 + s**5/50 + s**4/60 - 7*s. Factor a(h).
h**2*(h + 1)**2/5
Let o(n) be the third derivative of -n**10/90720 - n**9/45360 + n**4/24 - 2*n**2. Let h(f) be the second derivative of o(f). Factor h(y).
-y**4*(y + 1)/3
Let y(r) be the first derivative of 0*r**3 + 0*r - 1/12*r**4 - 1/2*r**2 + 1/15*r**5 + 1 - 1/60*r**6. Let g(l) be the second derivative of y(l). Factor g(q).
-2*q*(q - 1)**2
Suppose 0 = 39*q - 40*q + 3. Factor -1/5*k**4 + 0*k**2 - 1/5*k**q + 0*k + 0.
-k**3*(k + 1)/5
Let a(s) be the third derivative of s**5/210 + s**4/84 + 12*s**2. Factor a(u).
2*u*(u + 1)/7
Let f(i) be the second derivative of i**10/120960 + i**9/12096 + i**8/3360 + i**7/2520 + 7*i**4/12 + i. Let p(w) be the third derivative of f(w). Factor p(m).
m**2*(m + 1)*(m + 2)**2/4
Let d(l) be the second derivative of -l**7/1260 + l**6/180 - l**5/60 + l**4/36 + 2*l**3/3 - l. Let y(m) be the second derivative of d(m). Solve y(w) = 0.
1
Let q(b) = 41*b - 2. Let a be q(-2). Let p be (-66)/a - (-1)/(-2). Factor 4/7*f**2 - 6/7*f + 2/7 + 4/7*f**3 + p*f**5 - 6/7*f**4.
2*(f - 1)**4*(f + 1)/7
Factor -50*i - 40 + 78*i**2 + 4 - 9 - 83*i**2.
-5*(i + 1)*(i + 9)
Let y(j) = 3*j**5 - 7*j**4 - 8*j**3. Let v(z) = -5*z**5 + 15*z**4 + 15*z**3. Let g(o) = 2*v(o) + 5*y(o). Let g(x) = 0. What is x?
-1, 0, 2
Let h be (25/5)/(20/8). Determine r so that -2/5*r**3 + 2/5*r - 2/5 + 2/5*r**h = 0.
-1, 1
Let m(k) be the third derivative of k**8/112 - k**7/70 - k**6/20 + k**5/10 + k**4/8 - k**3/2 + 21*k**2. Factor m(h).
3*(h - 1)**3*(h + 1)**2
Determine y so that -1/4*y + 0 + 1/4*y**2 = 0.
0, 1
Let b(m) = -m**2 - 2*m + 1. Let h(z) = 2*z**2 + 2*z - 1. Let u(q) = -3*b(q) - 2*h(q). Factor u(l).
-(l - 1)**2
Let l(d) = 3*d + 10. Let k be l(10). Determine a, given that k*a**2 + 4 - 26*a + 10*a**4 + 14*a**2 - 46*a**3 + 4*a**4 = 0.
2/7, 1
Let b be (-1)/(58/(-28) - -2). Let n = b - 10. Factor 0 + 0*j**3 + 0*j + 0*j**2 - 2/11*j**n.
-2*j**4/11
Let j(y) = 2