3 - 3/8*r**2 - m. Factor f(k).
(k - 1)**2*(k + 2)/4
Find q, given that 2/5*q - 8/15 + 2/15*q**2 = 0.
-4, 1
Suppose -24 + 4 = -4*c. Factor 5/2*x**3 + 5/2*x**2 + 1/4 + 1/4*x**c + 5/4*x**4 + 5/4*x.
(x + 1)**5/4
Suppose 5*v = -v + 13*v. Let y(l) be the third derivative of 1/1008*l**8 - 1/180*l**5 - 1/360*l**6 + v*l**3 + 1/630*l**7 + 0 + 0*l + 0*l**4 + l**2. Factor y(k).
k**2*(k - 1)*(k + 1)**2/3
Let w(b) be the second derivative of 1/9*b**4 - 4/9*b**3 - b - 4/63*b**7 + 4/15*b**5 - 1/45*b**6 + 0 - 1/3*b**2. Determine i, given that w(i) = 0.
-1, -1/4, 1
Let i = -324 + 324. Find u, given that i - 1/3*u**2 + 1/3*u = 0.
0, 1
Factor 0 - 12*f**2 - 33*f**4 + 15/2*f**5 + 42*f**3 + 0*f.
3*f**2*(f - 2)**2*(5*f - 2)/2
Let h = -3 + 7. Let v(o) = 8*o + 202. Let d be v(-25). What is q in -8/7*q + 24/7*q**d - 26/7*q**3 + 12/7*q**h + 0 - 2/7*q**5 = 0?
0, 1, 2
Let n = -9 - -12. Factor -4/13 - 14/13*g + 6/13*g**n - 4/13*g**2.
2*(g - 2)*(g + 1)*(3*g + 1)/13
Let z(q) = -7*q**5 - 5*q**4 + 11*q**3 - 9*q**2 - 5*q. Let h(n) = -3*n**5 - 2*n**4 + 5*n**3 - 4*n**2 - 2*n. Let r(x) = -10*h(x) + 4*z(x). Factor r(p).
2*p**2*(p - 1)**2*(p + 2)
Let z be (-8)/(-6)*(8 - 5). Suppose 11*c**3 + 7*c + c - 16*c**2 - 2*c**z - c**3 = 0. What is c?
0, 1, 2
Let m = 23/45 + -4/9. Let o = 13/30 + m. What is h in o*h**3 - 1/4*h**4 + 0*h + 0 - 1/4*h**2 = 0?
0, 1
Let x(j) be the third derivative of j**6/30 + j**5/15 - j**4/6 - 2*j**3/3 - 16*j**2. Factor x(t).
4*(t - 1)*(t + 1)**2
Factor 3*z + 0 - 3/2*z**3 + 3/2*z**2.
-3*z*(z - 2)*(z + 1)/2
Suppose 2*f - 2 - 8 = 0. Suppose -4*p + f = -23. Factor 12*b**3 - p*b + 3*b + 4*b**4 + 2*b**2 - 2*b**3.
2*b*(b + 1)*(b + 2)*(2*b - 1)
Let t(c) = -4*c**5 + 4*c**3 + 2*c**2. Let j(a) = -a**5 + a**4 + a**3. Let s(x) = 2*j(x) - t(x). Factor s(d).
2*d**2*(d - 1)*(d + 1)**2
Let f(p) be the second derivative of 0*p**3 - 1/120*p**5 + 0 - 1/48*p**4 - p**2 + 2*p. Let c(n) be the first derivative of f(n). Factor c(i).
-i*(i + 1)/2
Let h(p) = 4*p**3 + 17*p**2 + 3*p. Let i(x) = -2*x**3 - 8*x**2 - 2*x. Let a(k) = 2*h(k) + 5*i(k). Solve a(n) = 0.
-2, -1, 0
Factor -188*h**3 - 4*h**2 + 2 + 2*h**4 + 188*h**3.
2*(h - 1)**2*(h + 1)**2
Let q(c) be the third derivative of 1/6*c**4 + 0*c - 4*c**2 + 1/2*c**3 + 0 - 1/60*c**5 - 1/180*c**6. Let m(b) be the first derivative of q(b). Factor m(v).
-2*(v - 1)*(v + 2)
Let p(h) = -2*h**2 + 2*h + 2. Let l be p(3). Let b be ((-4 - -2)*2)/l. Factor 0*m + 2/5*m**2 - b.
2*(m - 1)*(m + 1)/5
Let d(p) be the second derivative of p**5/2 - 2*p**4/3 - 7*p**3/15 + 2*p**2/5 + 2*p. Let d(k) = 0. Calculate k.
-2/5, 1/5, 1
Let p(o) be the third derivative of -11*o**5/20 - o**4/4 + 10*o**2. Factor p(s).
-3*s*(11*s + 2)
Let p(m) be the second derivative of m**6/120 + 3*m**5/40 + 7*m**4/48 - m**3/4 - m**2 - 4*m + 6. Find v, given that p(v) = 0.
-4, -2, -1, 1
Let w = -43/3 - -89/6. Solve w*p**2 + 0*p**3 + 0*p + 0 - 1/2*p**4 = 0 for p.
-1, 0, 1
Factor -2/3*j**3 + 0 + 2*j + 4/3*j**2.
-2*j*(j - 3)*(j + 1)/3
Let i(d) be the first derivative of d**7/56 + d**6/60 - 5*d**3/3 - 1. Let q(h) be the third derivative of i(h). Determine c so that q(c) = 0.
-2/5, 0
Let a(d) be the first derivative of d**9/4032 - d**8/2240 - d**7/1120 + d**6/480 + 4*d**3/3 - 6. Let b(t) be the third derivative of a(t). Factor b(u).
3*u**2*(u - 1)**2*(u + 1)/4
Determine u, given that -4*u**4 + 18*u + 10 + 6*u**4 + 30*u**2 - 10 + 14*u**3 = 0.
-3, -1, 0
Let w(l) = 29*l**2 - 13*l**2 - 15*l**2. Let y(h) = h**3 + 3*h**2 - h - 1. Let m(c) = -2*w(c) + y(c). Determine b so that m(b) = 0.
-1, 1
Factor -14/3*r - 2/3*r**4 - 10/3*r**3 - 4/3 - 6*r**2.
-2*(r + 1)**3*(r + 2)/3
Let w(s) be the second derivative of -1/78*s**4 + 1/195*s**6 + 0 + 0*s**2 + 0*s**3 + 0*s**5 + s. Factor w(c).
2*c**2*(c - 1)*(c + 1)/13
Suppose -8*c + 4*c = -12. Let n(f) be the second derivative of -1/10*f**5 + 1/6*f**4 - 1/15*f**6 + 0*f**2 + f + 0 + 1/3*f**c. Solve n(a) = 0 for a.
-1, 0, 1
Let s(v) be the third derivative of -v**7/735 + v**6/420 - v**2. Factor s(i).
-2*i**3*(i - 1)/7
Let j be 43/(-516)*(16/10)/(-2). Let u(m) be the second derivative of 0*m**2 + 1/75*m**6 - 3*m + 0 + 3/50*m**5 + j*m**3 + 1/10*m**4. Factor u(i).
2*i*(i + 1)**3/5
What is a in 0*a**2 + 1/3*a**3 + 0 - 1/3*a = 0?
-1, 0, 1
Suppose 5*c - 3*c + o - 32 = 0, o = 3*c - 38. Let i be 20/c - (-24)/42. Determine w so that 0*w**4 - 9/5*w**3 - 6/5*w**i + 3/5*w**5 + 0 + 0*w = 0.
-1, 0, 2
Determine u, given that -18/5*u**2 - 12/5 - 3/5*u**3 - 27/5*u = 0.
-4, -1
Suppose 323*g**4 - 128 + 697*g**4 - 334*g**4 - 4900*g**3 - 1328*g - 4536*g**2 = 0. Calculate g.
-2/7, 8
Let w(r) = -r**2 - r - 1. Let t(x) = 5*x**2 - x + 3. Let h(q) = t(q) + 6*w(q). Let n(y) = -2*y**2 - 8*y - 4. Let k(s) = 4*h(s) - 3*n(s). Factor k(i).
2*i*(i - 2)
Let d be 18/12*(-1)/(-9). Let k(w) be the second derivative of -w**2 + 0 - d*w**4 - w + 2/3*w**3. Let k(i) = 0. Calculate i.
1
Let q(s) be the first derivative of -s**4/12 - 5*s**3/9 + s**2/6 + 5*s/3 + 45. Determine n, given that q(n) = 0.
-5, -1, 1
Let v(z) = -z**2 + 9*z - 20. Let c be v(5). Let 1/2*t + c - 1/2*t**3 + 1/2*t**2 - 1/2*t**4 = 0. What is t?
-1, 0, 1
Let q(a) be the first derivative of -7 + 1/9*a**3 + 1/30*a**5 + 0*a + 1/8*a**4 + 0*a**2. Factor q(y).
y**2*(y + 1)*(y + 2)/6
Let t(h) be the second derivative of -h**6/195 + h**5/130 + h**4/26 - 5*h**3/39 + 2*h**2/13 + 5*h. Let t(q) = 0. Calculate q.
-2, 1
Let o(k) = -19*k**2 + 16*k**2 - 6*k + 2 - 4 + k**3. Let l(p) = 4*p**3 - 8*p**2 - 18*p - 6. Let n(g) = -3*l(g) + 10*o(g). Solve n(i) = 0.
-1
Let n = 5 - 0. Factor 7*l**4 - 3*l**5 + 3*l - n*l**2 - l**4 - l**2 + 0*l**5.
-3*l*(l - 1)**3*(l + 1)
Let j(h) be the first derivative of -4*h - 3*h**2 + 6 - 2/3*h**3. Factor j(z).
-2*(z + 1)*(z + 2)
Let g be 5/18*(-9)/(-15). Let f(w) be the third derivative of 0 + 0*w + 1/60*w**5 + 2/3*w**3 - 2*w**2 - g*w**4. Factor f(r).
(r - 2)**2
Let z(d) be the third derivative of 0 + 0*d**3 + 1/360*d**6 + 0*d**5 + 0*d + 0*d**4 - 2*d**2 - 1/315*d**7 + 1/1008*d**8. What is n in z(n) = 0?
0, 1
Let p(h) be the second derivative of -h**5/10 + h**3/3 + 3*h. Factor p(n).
-2*n*(n - 1)*(n + 1)
Factor -1/3*x - 1/6*x**2 - 1/6.
-(x + 1)**2/6
Factor 4/9 - 2/9*m**2 - 2/9*m.
-2*(m - 1)*(m + 2)/9
Let n(j) be the third derivative of j**8/6720 + j**7/1680 + j**5/20 - 2*j**2. Let s(r) be the third derivative of n(r). Factor s(z).
3*z*(z + 1)
Factor 12*v - 4*v**2 + 5*v**3 - 8*v**2 - 2*v**3 + 0*v**3.
3*v*(v - 2)**2
Find p, given that -4*p - 5 - 5*p + 3*p - 5*p**2 - 4*p = 0.
-1
Let y(l) = -8 - 3*l**2 + 4*l**2 + 8*l + 4 - 3. Let f be y(-9). Factor 2/3*n + 4/3*n**f + 0 - 4/3*n**4 + 0*n**3 - 2/3*n**5.
-2*n*(n - 1)*(n + 1)**3/3
Let o(m) = -m**4 - m**3 + m**2 + m + 1. Let y(z) = 14*z**5 - 49*z**4 + 51*z**3 - 23*z**2 + 7*z + 3. Let f(n) = -6*o(n) + 2*y(n). Solve f(s) = 0.
0, 2/7, 1
Suppose 0 = -v + 3*k + 4 - 0, 0 = -5*k - 25. Let h = -8 - v. Solve 3*n - 14*n**3 + 15*n**h + n**2 - 3*n = 0.
-1, 0
Suppose 0 = 80*k - 62*k. Factor 2/7*n**4 + 2/7*n**2 + 4/7*n**3 + k*n + 0.
2*n**2*(n + 1)**2/7
Let q(i) = -49*i**2 + 33*i + 6. Let c(t) = t + 1. Let x(b) = 5*c(b) - q(b). Let f(d) = -49*d**2 + 28*d + 2. Let s(p) = -5*f(p) - 6*x(p). Factor s(n).
-(7*n - 2)**2
Let c(y) be the second derivative of 3*y + y**3 + 0 + 1/10*y**5 - y**2 - 1/2*y**4. Find r, given that c(r) = 0.
1
Let f(m) = 4*m - 2. Let c be f(-4). Let y(h) = -4*h + 3 - 4 + 3*h. Let u(n) = -3*n**2 + 18*n + 21. Let v(j) = c*y(j) - u(j). Factor v(b).
3*(b - 1)*(b + 1)
Let c = -5 - -5. Let g(b) be the first derivative of 2 + 0*b**3 + c*b**2 + 0*b - 1/8*b**4. Find v such that g(v) = 0.
0
Let p be 0/((-1 + 3)/2). Let d(m) be the second derivative of 2/5*m**2 + p - 1/5*m**3 + 3*m + 1/30*m**4. Determine x so that d(x) = 0.
1, 2
Let d(u) be the first derivative of -u**4/14 + 3*u**2/7 - 4*u/7 + 3. Factor d(m).
-2*(m - 1)**2*(m + 2)/7
Factor 8*r + 32/5 + 16/5*r**2 + 2/5*r**3.
2*(r + 2)**2*(r + 4)/5
Suppose 5*g - 3*g + 44 = 4*p, 0 = -2*p - 2*g + 28. Suppose 5*v + 2 = p. Factor 32 + 13*i + 2*i**4 + 8*i + 48*i**v + 16*i**3 + 43*i.
2*(i + 2)**4
Let m(x) be the third derivative of -x**6/15 + x**5/5 - x**4/6 - 9*x**2. Factor m(s).
-4*s*(s - 1)*(2*s - 1)
Suppose 1/2*t**3 + 3/2*t**4 + 0 + 2*t - 4*t**2 = 0. What is t?
-2, 0, 2/3, 1
What is q in 1/4*q**3 - 1/2*q**2 - 1 - 7/4*q = 0?
-1, 4
Suppose 5*v = 2*v. Let 1/4*