pose -2/5*v**3 + 2/5*v**2 + n*v + 0 = 0. Calculate v.
0, 1
Let f(q) be the second derivative of 11/70*q**5 - 1/21*q**4 + 0 + 1/21*q**7 + 6*q - 16/105*q**6 + 0*q**3 + 0*q**2. Factor f(u).
2*u**2*(u - 1)**2*(7*u - 2)/7
Suppose 2*w - 1 = 5. Let d be (-2)/10 + w/15. Determine y, given that -y**5 + y**4 + 0*y**2 + d*y**2 = 0.
0, 1
Let a(c) = -c - 1. Let t(i) = 10*i**2 - 24*i - 10. Let w(b) = -12*a(b) + t(b). Factor w(x).
2*(x - 1)*(5*x - 1)
Let d(a) be the second derivative of 0*a**2 - 1/20*a**6 + 1/84*a**7 + 2*a - 1/24*a**4 + 0*a**3 + 3/40*a**5 + 0. Let d(g) = 0. What is g?
0, 1
Let y be 0 + -4 - ((-84)/(-48) + -6). Factor -1/2*s**2 - 3/4*s**3 + 0 + y*s.
-s*(s + 1)*(3*s - 1)/4
Let n = 1 + 2. Determine f, given that 0*f**n + 9*f - 3 + 0*f**2 - 2*f**3 - 9*f**2 + 5*f**3 = 0.
1
Factor -4/9*i**2 + 0 + 2/9*i + 2/9*i**3.
2*i*(i - 1)**2/9
Let t(i) be the second derivative of i**7/147 + 2*i**6/105 + i**5/70 - 25*i. Let t(v) = 0. Calculate v.
-1, 0
Let m(q) be the second derivative of -q**4/12 + 3*q**3/2 + q**2 + q. Let w be m(9). Factor 4/3 + 2/3*r**w + 2*r.
2*(r + 1)*(r + 2)/3
Let l = 17 - 17. Let o(z) be the second derivative of 0*z**6 - 2*z + l*z**4 + 0 + 1/147*z**7 - 1/35*z**5 + 0*z**2 + 1/21*z**3. Let o(m) = 0. Calculate m.
-1, 0, 1
Let r = -30 + 32. Let i be (-4)/6*(-1 + -2). Solve -i*l - l**r - 3 + 5*l + 1 = 0.
1, 2
Let q(m) be the second derivative of -m**10/15120 + m**9/7560 - m**4/12 + m. Let k(h) be the third derivative of q(h). Factor k(v).
-2*v**4*(v - 1)
Let r(x) = 20*x**5 - 5*x**4 + 12*x**3 - 17*x + 17. Let i(c) = 7*c**5 - 2*c**4 + 4*c**3 - 6*c + 6. Let t(d) = 17*i(d) - 6*r(d). Determine f so that t(f) = 0.
-2, 0
Let p(n) be the second derivative of 5*n**4/12 - 10*n**3/3 + 15*n**2/2 + 17*n. Determine y so that p(y) = 0.
1, 3
Let v(b) = -b**4 + 5*b**2 + 0*b**2 - 4*b**2 + 1. Let d(l) = 4*l**4 - 4*l**2 - 3. Let m(c) = -2*d(c) - 6*v(c). Factor m(k).
-2*k**2*(k - 1)*(k + 1)
Let c(n) be the second derivative of n**5/4 - 25*n**4/6 + 125*n**3/6 + 11*n. Factor c(w).
5*w*(w - 5)**2
Let o(a) = a**3 + 10*a**2. Let g be o(-10). Let -w**4 - w**3 + g*w**4 - w - w - 3*w**3 - 5*w**2 = 0. Calculate w.
-2, -1, 0
Factor -6*n - 18*n**2 - 12 + 3*n**2 + 29*n + 13*n.
-3*(n - 2)*(5*n - 2)
Let d(w) be the second derivative of -w**5/4 + 5*w**4/3 + 14*w. Factor d(s).
-5*s**2*(s - 4)
Let x(k) be the second derivative of -2/5*k**5 + k**4 + k + 0 - 3/4*k**3 + 1/4*k**2. Determine v, given that x(v) = 0.
1/4, 1
Let u be (27/(-12))/(18/(-12)). Factor 1/2*b**5 + 3/2*b**4 - 1/2 + b**3 - b**2 - u*b.
(b - 1)*(b + 1)**4/2
Let h be ((-15)/2)/((-1)/2). Let p = -6 + h. Factor -4*k - 2*k**2 - 7*k**2 - 3*k**2 - p*k**3.
-k*(3*k + 2)**2
Let b(s) be the third derivative of s**5/240 + s**4/48 + s**3/24 + 12*s**2. Factor b(a).
(a + 1)**2/4
Let x = 33 + -33. What is v in -2/9*v**2 - 2/9*v + x + 2/9*v**4 + 2/9*v**3 = 0?
-1, 0, 1
Let n(v) = v**3 - 13*v**2 + 13*v - 10. Let l be n(12). Factor -1/4 + 0*a**3 - 1/4*a**4 + 1/2*a**l + 0*a.
-(a - 1)**2*(a + 1)**2/4
Let c(f) be the second derivative of -f**7/210 - f**6/120 + f**5/60 + f**4/24 - 3*f**2/2 + 3*f. Let h(x) be the first derivative of c(x). Factor h(w).
-w*(w - 1)*(w + 1)**2
Let u be (4/(-5))/(6*-1). Let h(g) be the second derivative of 17/20*g**5 + 13/6*g**3 - g - g**2 + 0 - 2*g**4 - u*g**6. Let h(c) = 0. What is c?
1/4, 1, 2
Let m(g) = -7*g**2 - 13*g - 1. Let o = 1 - -4. Let j(b) = 4*b**2 + 6*b. Let w(y) = o*j(y) + 2*m(y). What is n in w(n) = 0?
-1, 1/3
Let w be (5/(-10))/((-3)/18). Let p(l) = -4*l**3 - 12*l**2 - 2*l. Let g(i) = 3*i**3 + 13*i**2 + 2*i + 1. Let v(n) = w*p(n) + 2*g(n). What is q in v(q) = 0?
-1, 1/3
What is a in -4/5 + 1/5*a**3 + 3/5*a**2 + 0*a = 0?
-2, 1
Let k = 49 - 46. Let -2/7*f + 0 + 2/7*f**k + 0*f**2 = 0. Calculate f.
-1, 0, 1
Let y(b) = b**3 + 4*b**2 - 2*b - 4. Let t be y(-4). Let s(o) be the second derivative of 0 - 11/12*o**3 - o + 9/40*o**5 - 1/2*o**t - 1/2*o**2. Factor s(z).
(z - 2)*(3*z + 1)**2/2
Let y = -261 - -1627/5. Let q = -64 + y. Let -2/5*x**3 + 2/5 - q*x**2 + 2/5*x = 0. Calculate x.
-1, 1
Let l(a) be the third derivative of 2*a**2 - 1/48*a**4 + 1/210*a**7 - 1/60*a**5 + 0*a**3 + 0*a**6 + 0 + 1/672*a**8 + 0*a. Factor l(p).
p*(p - 1)*(p + 1)**3/2
Let z(b) be the second derivative of 1/4*b**2 - b + 0 - 5/24*b**3 + 1/12*b**4 - 1/80*b**5. Factor z(f).
-(f - 2)*(f - 1)**2/4
Factor 53*k**2 + 18*k**4 + 27*k**2 + 16*k + 10*k**4 + 126*k**3 - 34*k**3.
4*k*(k + 1)*(k + 2)*(7*k + 2)
Let g be 6/21 - (-136)/14. Let w = g - 6. What is a in -6*a**3 - a + 5*a + a**w + 3*a**3 = 0?
-1, 0, 2
Let z(q) = -9*q**4 + 2*q**3 + 4*q**2 - 7*q - 7. Let b(l) = -5*l**4 + l**3 + 2*l**2 - 4*l - 4. Let j(o) = -7*b(o) + 4*z(o). Factor j(f).
-f**2*(f - 2)*(f + 1)
Let m(z) be the second derivative of 2*z**7/21 + 4*z**6/15 - z**5/5 - 2*z**4/3 + 7*z. Let m(i) = 0. Calculate i.
-2, -1, 0, 1
Let a(v) be the first derivative of v**5/10 + 3*v**4/8 + v**3/2 + v**2/4 + 6. Solve a(w) = 0.
-1, 0
Let t(y) be the first derivative of -y**4/10 - 2*y**3/3 - 7*y**2/5 - 6*y/5 - 4. Factor t(k).
-2*(k + 1)**2*(k + 3)/5
Let v(o) = -o**3 + 3*o**2 - 2. Let z be v(2). Factor -m**2 - 6*m**3 + 4*m**4 + 8*m**3 - 4*m**2 + 3*m**z.
2*m**2*(m + 1)*(2*m - 1)
Let h(o) be the second derivative of -1/10*o**5 + 1/6*o**4 + 0*o**2 + 1/3*o**3 - 1/15*o**6 + o + 0. Suppose h(u) = 0. What is u?
-1, 0, 1
Let a(t) be the second derivative of 1/10*t**5 + 0 - 1/3*t**3 - 1/6*t**2 + 1/10*t**6 - 2/9*t**4 - 3*t. Factor a(z).
(z - 1)*(z + 1)*(3*z + 1)**2/3
Let k = 12 + -7. Suppose 0 = -3*d + k*d - 26. Solve 1 - 5*i + 3 + d*i + i**3 + 5*i**2 = 0 for i.
-2, -1
Let h(f) be the first derivative of f**7/280 + f**6/120 - f**5/40 - f**4/8 + f**3/3 - 6. Let o(b) be the third derivative of h(b). Factor o(n).
3*(n - 1)*(n + 1)**2
Let b be (21/(-14))/((-2)/4). Let g = 45 + -30. What is d in g*d**2 + 4*d + 2*d - 5*d**3 - 16*d**b = 0?
-2/7, 0, 1
Let n(y) be the second derivative of -1/27*y**3 + 1/54*y**4 + 0 + 1/90*y**5 - 6*y + 0*y**2 - 1/135*y**6. Determine c so that n(c) = 0.
-1, 0, 1
Let w(d) be the first derivative of 1/2*d**6 - 3 + 0*d**2 + 3/5*d**5 - 3/4*d**4 + 0*d - d**3. Factor w(m).
3*m**2*(m - 1)*(m + 1)**2
Let j(x) = -11*x - 64. Let z be j(-6). Factor -6/5*o**z + 12/5*o + 24/5 - 3/5*o**3.
-3*(o - 2)*(o + 2)**2/5
Factor -2*i**3 + 3*i**2 + 0*i**3 - i**2.
-2*i**2*(i - 1)
Let g(k) be the first derivative of 54*k**5/5 - 27*k**4 - 48*k**3 - 26*k**2 - 6*k + 70. Determine d so that g(d) = 0.
-1/3, 3
Let z(y) be the first derivative of 7*y**6/15 + y**5/2 - 3*y**4/2 - 5*y**3/3 + 2*y**2 - y + 4. Let a(k) be the first derivative of z(k). Solve a(p) = 0.
-1, 2/7, 1
Suppose 10 = 3*w + 2*w. Let -1/2*c + 1/4*c**w + 0 = 0. Calculate c.
0, 2
Let t(n) be the third derivative of n**6/30 - 2*n**5/15 + 19*n**2. Find l such that t(l) = 0.
0, 2
Let j(u) = -u + 11. Let l be j(6). Suppose -7 = -5*r - 4*k + 5, -l*r = 2*k - 6. What is a in 0 + 2/5*a**3 + 2/5*a**5 + 0*a + 4/5*a**4 + r*a**2 = 0?
-1, 0
Let s(d) be the second derivative of -2*d**2 + 1/10*d**5 - 5/3*d**3 + 0 - 1/2*d**4 + 1/15*d**6 + 5*d. Solve s(w) = 0 for w.
-1, 2
Let i(t) be the second derivative of -3*t**5/140 - t**4/14 - t**3/14 + 10*t. Factor i(f).
-3*f*(f + 1)**2/7
Let h = 2185/42 - 52. Let b(n) be the second derivative of 4/21*n**3 + 0 - h*n**4 - 3/7*n**2 + 2*n. Factor b(j).
-2*(j - 3)*(j - 1)/7
Let a = -406 + 409. Determine l so that 7*l**a + 0 - 10*l**2 + 4*l - 3/2*l**4 = 0.
0, 2/3, 2
Suppose 3*f = -2*f + 10. Solve 2/9*q**f + 2/9*q**4 + 0*q + 4/9*q**3 + 0 = 0 for q.
-1, 0
Let g(l) = 194*l**2 - 222*l + 64. Let y(i) = 5*i**2 - 5*i + 4. Let t(f) = -f**2 + f - 1. Let m(v) = 4*t(v) + y(v). Let s(u) = g(u) + 2*m(u). Factor s(p).
4*(7*p - 4)**2
Suppose 16 = 3*v - 2. Suppose v = -2*g + 4*g. Let 0 - 4/7*z**2 + 2/7*z**g + 2/7*z = 0. Calculate z.
0, 1
Factor -3*w + 4*w - 7*w + 2*w**2 + 4*w.
2*w*(w - 1)
Let w(n) = -n**3 + 4*n**2 - 2*n + 1. Let g be w(3). Let s be 1*(2 + g)/2. Determine b so that -3*b**s + 4/3 - 16/3*b + 7*b**2 = 0.
2/3, 1
Let k(b) be the third derivative of 0*b**5 + 0*b + 0*b**3 + 0 - 1/70*b**7 + b**2 - 1/2*b**4 + 3/40*b**6. Let k(n) = 0. Calculate n.
-1, 0, 2
Let z = 13875/7 - 1979. Determine t so that 4/7 + 24/7*t**2 - z*t = 0.
1/4, 2/3
Suppose 0 = 5*t + 213 + 2. Let l = t + 131/3. Factor l - 7/3*r - 3*r**2.
-(r + 1)*(9*r - 2)/3
Let a(g) b