 v(z) = -3*z**4 + 3*z**2 - 2*z + 2. Let n(a) = 2*c(a) - 55*v(a). Factor n(k).
5*k**2*(k - 1)*(k + 1)
Let k(h) be the third derivative of -h**5/90 + h**4/36 + 2*h**3/9 - h**2. What is n in k(n) = 0?
-1, 2
Let h(q) be the third derivative of q**7/105 - q**6/20 + q**5/15 - 16*q**2. Suppose h(g) = 0. What is g?
0, 1, 2
Factor 17*f**2 - f**2 - 133*f + 147*f + 6*f**3 + 4.
2*(f + 1)**2*(3*f + 2)
Let k(f) = f**3 - 10*f**2 + 2. Let n be k(10). Factor -1/3*m**n + 0 - 1/6*m**3 - 1/6*m.
-m*(m + 1)**2/6
Let c(b) be the first derivative of 2*b**6/3 + 28*b**5/5 + 16*b**4 + 32*b**3/3 - 32*b**2 - 64*b + 12. Determine h, given that c(h) = 0.
-2, 1
Let s(c) be the second derivative of -c**7/14 + 2*c**6/5 - 3*c**5/5 - 15*c. Determine g so that s(g) = 0.
0, 2
Suppose 24 = 5*s + s. Let z(j) be the first derivative of 1/4*j**s + 0*j - 1 - 3/20*j**5 + 0*j**2 - 1/12*j**3. Factor z(r).
-r**2*(r - 1)*(3*r - 1)/4
Let k(f) = -13*f + 0*f + 1 - 12 - 11*f**2. Let j(n) = 5*n**2 + 6*n + 5. Let r(b) = 9*j(b) + 4*k(b). Solve r(y) = 0.
-1
Let q(b) be the first derivative of -b**5/20 - b**4/8 + b**2/4 + b/4 + 9. Solve q(x) = 0 for x.
-1, 1
Let n(d) = -5 + 5*d**2 - 3*d**2 + 11*d**4 + 5. Let h(g) = 5*g**4 + g**2. Let v(b) = -13*h(b) + 6*n(b). Determine i so that v(i) = 0.
-1, 0, 1
Let m(t) = t + 5. Let r be m(0). Factor -5*d - r*d**4 + 2 + 3*d**2 - 3*d**3 + 4*d**4 + 2*d**3 + 2*d**3.
-(d - 1)**3*(d + 2)
Let d(w) = -5*w - 2. Let c be d(-1). Let f(y) be the first derivative of -1/2*y**4 + 8*y + 1 + 0*y**2 - 2*y**c. Factor f(k).
-2*(k - 1)*(k + 2)**2
Find y such that -5*y - 52*y - 1536*y**3 + 1 + 576*y**2 + 2 - 15*y = 0.
1/8
Let a = 218/355 + -1/71. Factor -a + 6/5*m - 3/5*m**2.
-3*(m - 1)**2/5
Let a(o) be the second derivative of -2/3*o**4 + 3*o - 3/5*o**5 + 0 + 4*o**2 + 2*o**3. Find f, given that a(f) = 0.
-1, -2/3, 1
Let v(k) be the first derivative of -33/20*k**4 + 0*k - 1 + 3/5*k**2 - 6/5*k**5 + 1/5*k**3. Determine j, given that v(j) = 0.
-1, -1/2, 0, 2/5
Let i be 4 + 2 + -4*1. Suppose -5*v - 4 = -0*v + c, -i*v + 4*c + 16 = 0. Let -6*l + 2*l - 4*l**2 + v*l + 2*l**2 = 0. What is l?
-2, 0
Let a(x) be the first derivative of -x**3/24 - x**2/4 - x/2 - 2. Determine v, given that a(v) = 0.
-2
Factor 1/3*z**2 + 0 - z.
z*(z - 3)/3
Let s(g) be the second derivative of -g**6/105 + 3*g**5/70 - g**4/21 - 12*g. Suppose s(b) = 0. What is b?
0, 1, 2
Let m(o) be the first derivative of o**6/1440 - o**4/96 - o**3/3 - 2. Let n(g) be the third derivative of m(g). Factor n(d).
(d - 1)*(d + 1)/4
Let z(v) be the first derivative of 6/65*v**5 + 22/39*v**3 - 4/13*v + 1/13*v**2 + 7 + 11/26*v**4. Let z(o) = 0. Calculate o.
-2, -1, 1/3
Let k = -115 - -347/3. Let 1/3*v + v**2 - k = 0. Calculate v.
-1, 2/3
Suppose -11*i + 9*i - 18 = 0. Let a be i/(-6)*(-5)/(-15). Factor a*s**2 - 1/2*s - 1.
(s - 2)*(s + 1)/2
Let r(b) = -4*b**2 - 2. Suppose 2*u - 4*y = 0, 0 = 4*u - y + 2*y - 9. Let g(j) = j + u - j**2 + 6*j**2 - 2*j**2. Let i(a) = -3*g(a) - 2*r(a). Factor i(z).
-(z + 1)*(z + 2)
Suppose -3*n - 3*r + 8 = -n, -5*n = -3*r - 20. Determine o so that n + 3*o**2 + 15*o + 7*o**2 - o = 0.
-1, -2/5
Let q(d) = -4*d - 25. Let a be q(-7). Let y = 452/2061 + 2/687. Solve 8/9*r**a + 4/3*r + y + 2*r**2 = 0.
-1, -1/4
Let r be ((-19)/57)/((-5)/3). Find x such that -3/5*x**4 - 3/5*x**3 + 0*x - 1/5*x**5 + 0 - r*x**2 = 0.
-1, 0
Let u(b) = 14*b - 22. Let l be u(2). Let y(a) be the second derivative of 3*a - 2*a**3 + 1/4*a**4 + 0 + l*a**2. Solve y(n) = 0 for n.
2
Let a(r) be the first derivative of 4 + 9/2*r + 3/2*r**2 - 1/2*r**3. Factor a(w).
-3*(w - 3)*(w + 1)/2
Let t(g) = -3*g + 2. Let k be t(3). Let p = 9 + k. Factor 0 - 2/5*u**4 - 16/5*u**p - 8/5*u - 2*u**3.
-2*u*(u + 1)*(u + 2)**2/5
Let f(j) be the first derivative of -10*j**6/3 + 3*j**5 + 5*j**4/4 + 4. Factor f(x).
-5*x**3*(x - 1)*(4*x + 1)
Let l be 10/((-2)/2)*(-18)/36. Let i(d) be the second derivative of -1/50*d**l + 1/15*d**3 + 0 - 1/30*d**4 - d + 1/5*d**2. Solve i(q) = 0 for q.
-1, 1
Let c = -127/6 - -741/35. Let h(z) be the third derivative of 0*z - 1/6*z**3 + 0*z**6 - c*z**7 + 0 + 1/30*z**5 + 0*z**4 + z**2. Factor h(b).
-(b - 1)**2*(b + 1)**2
Let c(a) be the second derivative of a**6/240 - a**5/60 + a**4/48 + 5*a**2/2 - 4*a. Let i(o) be the first derivative of c(o). Find v, given that i(v) = 0.
0, 1
Let w(q) be the second derivative of q**7/12600 + q**6/1800 + q**5/600 - q**4/12 + 6*q. Let o(k) be the third derivative of w(k). Solve o(d) = 0 for d.
-1
Let v(s) be the first derivative of s**3 + 9*s**2/2 + 6*s - 41. Suppose v(x) = 0. Calculate x.
-2, -1
Let q(y) be the third derivative of 0*y**4 + 4*y**2 + 0*y**3 + 0*y + 1/90*y**7 + 1/90*y**5 + 0 + 1/40*y**6. Determine k so that q(k) = 0.
-1, -2/7, 0
Let y(g) be the third derivative of -g**6/360 + g**5/60 - g**4/24 + g**3/6 + 2*g**2. Let b(t) be the first derivative of y(t). Find j such that b(j) = 0.
1
Let l(u) be the second derivative of 0 - 1/3*u**2 + 1/18*u**4 + 0*u**3 + 2*u. Determine o so that l(o) = 0.
-1, 1
Let k(q) be the second derivative of -1/6*q**4 - 3*q - 1/6*q**3 + 0*q**2 + 1/180*q**6 + 1/60*q**5 + 0. Let y(w) be the second derivative of k(w). Factor y(b).
2*(b - 1)*(b + 2)
Factor -5/4*o**2 + 30*o - 15/2*o**3 - 20 - 5/4*o**4.
-5*(o - 1)**2*(o + 4)**2/4
Suppose 4*m - 8 = -0. Factor -6/5*j**m + 2/5*j - 2/5*j**3 + 4/5 + 2/5*j**4.
2*(j - 2)*(j - 1)*(j + 1)**2/5
Factor 0*i**2 - 4*i**2 + 4*i**4 + 2*i**5 - 2*i + 0*i**2.
2*i*(i - 1)*(i + 1)**3
Determine r, given that 3/5*r**3 + 0*r**2 + 0 - 3/5*r = 0.
-1, 0, 1
Let d(m) be the third derivative of -m**5/100 + 6*m**2. Factor d(r).
-3*r**2/5
Let i = 530 - 527. Determine j so that -4/5 + 3/5*j**2 + 4/5*j - 4/5*j**i + 1/5*j**4 = 0.
-1, 1, 2
Let g(h) = h**5 - 5*h**4 - 4*h**3 + 15*h**2 - 13*h + 3. Let t(v) = -v**5 - v**4 - v**2 + v - 1. Let q(a) = g(a) - t(a). Let q(o) = 0. Calculate o.
-2, 1
Let h(x) be the first derivative of -5*x**3/18 + 5*x**2/12 + 5*x/3 + 9. Determine g so that h(g) = 0.
-1, 2
Let i = -253 + 256. Factor -4/9*q**2 + 0*q**i + 2/9 + 2/9*q**4 + 0*q.
2*(q - 1)**2*(q + 1)**2/9
Let v(u) be the first derivative of 2 - 3/2*u**4 + 0*u + 2/15*u**3 - 7/15*u**6 + 2/5*u**2 + 38/25*u**5. Factor v(q).
-2*q*(q - 1)**3*(7*q + 2)/5
Let p = 6 + -10. Let i = p - -6. Factor f**2 + f**2 + 0*f**2 + i*f**3.
2*f**2*(f + 1)
Let i(p) be the second derivative of -p**4/42 + p**3/21 + 2*p**2/7 + 5*p. Factor i(c).
-2*(c - 2)*(c + 1)/7
Let u(n) = -n**4 + 1. Let a(v) = 45*v**4 - 24*v**3 - 189*v**2 + 96*v - 9. Let x(r) = a(r) - 3*u(r). Suppose x(w) = 0. What is w?
-2, 1/4, 2
Find s, given that 6 - 4*s - 3*s**2 + 4*s + 3*s = 0.
-1, 2
Find d, given that 125 + 5*d**3 + 68*d**2 + 23*d**2 + 0*d**3 - 36*d**2 + 175*d = 0.
-5, -1
Let c be (-9)/(-3) - (-27)/(-15). Factor -2/5*n**3 - 6/5*n**2 - 2/5 - c*n.
-2*(n + 1)**3/5
Let p(j) be the first derivative of 2*j**3/21 - 2*j/7 + 4. Suppose p(g) = 0. What is g?
-1, 1
Let d(z) be the third derivative of z**10/75600 - z**8/10080 - z**5/30 + 3*z**2. Let o(l) be the third derivative of d(l). Let o(x) = 0. What is x?
-1, 0, 1
Let c(v) be the first derivative of -2*v**3/33 - 2*v**2/11 + 6*v/11 - 2. Suppose c(k) = 0. Calculate k.
-3, 1
Let i(v) be the first derivative of v**8/112 + v**7/70 - v**6/40 - v**5/20 + 5*v**2/2 + 5. Let x(p) be the second derivative of i(p). Solve x(t) = 0.
-1, 0, 1
Suppose 1 - 1 = 51*t. Factor 3/5*b**2 - 1/5*b - 3/5*b**3 + t + 1/5*b**4.
b*(b - 1)**3/5
Let q(r) be the second derivative of -4/11*r**2 + 1/66*r**4 + 0*r**3 + 0 + 6*r. Determine i, given that q(i) = 0.
-2, 2
Suppose -2*j = -3*f + 2, f - 3*j - 3 = 6*f. Suppose k - 2*k = -4. Let f + 0*s - 1/2*s**k - s**3 - 1/2*s**2 = 0. Calculate s.
-1, 0
Let a(f) be the second derivative of 3*f**5/20 + f**4/4 - f**3/2 - 3*f**2/2 + 16*f. Determine h so that a(h) = 0.
-1, 1
Let c be (-68)/12 - 8/(-2). Let u = 2 + c. Suppose 0*s**2 + 1/6 + u*s**3 - 1/3*s - 1/6*s**4 = 0. Calculate s.
-1, 1
Let x be (0/(-4))/(-2*(7 - 6)). Suppose x*q + 0*q**2 - 1/3*q**3 + 0 = 0. Calculate q.
0
Suppose 0 = -g + 3*m - 15, -2*m - 10 = 4*g - 4*m. Find z, given that 1/3*z**3 + g + 1/3*z + 2/3*z**2 = 0.
-1, 0
Let p be (-4)/(-10) - 35/(-100). Solve 0*q**3 + p*q**4 + 0*q**2 - 3/4*q**5 + 0*q + 0 = 0 for q.
0, 1
Let t(a) be the third derivative of a**8/840 - a**3/2 + 3*a**2. Let b(k) be the first derivative of t(k)