2)
Let -3964 - k**2 + 3964 - 9*k = 0. Calculate k.
-9, 0
Let z(t) be the second derivative of 2*t**7/21 - 2*t**5/5 + 2*t**3/3 - 7*t. Let z(g) = 0. What is g?
-1, 0, 1
Let o(a) be the first derivative of a**6/30 - 2*a**5/25 + 2*a**3/15 - a**2/10 - 7. Factor o(f).
f*(f - 1)**3*(f + 1)/5
Factor 2*f + 39/2*f**2 + 18*f**3 - 2.
(3*f + 2)**2*(4*f - 1)/2
Let z(m) be the second derivative of m**6/40 - 3*m**5/20 + m**4/4 - m**2/2 + 2*m. Let t(s) be the first derivative of z(s). Factor t(f).
3*f*(f - 2)*(f - 1)
Let s be (2/(-54))/(3/(-18)). Find f, given that 2/9 + s*f**2 - 4/9*f = 0.
1
Let t(m) = 14*m**2 + 60*m + 142. Let j(r) = 9*r**2 + 40*r + 95. Let y(h) = -8*j(h) + 5*t(h). Factor y(l).
-2*(l + 5)**2
Let g(w) = w**3 - w + 1. Let p be g(0). Factor 0*z - 4*z + 2*z - z**2 - p.
-(z + 1)**2
Suppose 2*f - 20 = -2*f. Solve f*j - j - 2*j + 2*j**2 = 0.
-1, 0
Let c = -6383/24 + 266. Let u(x) be the first derivative of -c*x**6 + 0*x**4 - 1/6*x**3 + 0*x + 1/8*x**2 + 1/10*x**5 - 1. What is q in u(q) = 0?
-1, 0, 1
Let t(j) be the first derivative of 3*j**4/4 - j**3 - 3*j**2/2 + 3*j - 3. Find q, given that t(q) = 0.
-1, 1
What is x in 4*x**3 - 2*x - 2*x**4 - 2*x - 12 + 14 = 0?
-1, 1
Determine f, given that -f**3 + 5/2*f**2 - 1 - 1/2*f = 0.
-1/2, 1, 2
Let x be (-844)/(-14) - (-2)/(-7). Let a = x + 87. What is p in -111*p + a*p**2 + 27*p + 10 + 0 + 2 = 0?
2/7
Let u be 4 + -3 - (-38)/(-72). Let n = u + -2/9. Suppose -1/4 - n*h**3 + 1/4*h**2 + 1/4*h = 0. What is h?
-1, 1
Let l(y) be the first derivative of y**4/16 + y**3/12 - y**2/4 + 1. What is q in l(q) = 0?
-2, 0, 1
Suppose -2*z + 0*m - 7 = 3*m, m = -5. Let o(h) be the third derivative of 1/42*h**3 + 0*h + 1/140*h**5 - 1/840*h**6 + 0 - h**2 - 1/56*h**z. Factor o(r).
-(r - 1)**3/7
Let d be (-6)/28 + 4/8. Let h(k) be the second derivative of -k - 3/35*k**6 + 1/3*k**3 + 0 + 11/42*k**4 - d*k**2 - 1/10*k**5. Find w, given that h(w) = 0.
-1, 2/9, 1
Let d(o) be the third derivative of 49*o**6/360 - 7*o**5/18 - 13*o**4/18 - 4*o**3/9 - 7*o**2. Suppose d(z) = 0. What is z?
-2/7, 2
Let s(m) = m**3 - 13*m**2 + 2*m - 26. Let n be s(13). Determine y, given that -1/5*y + 2/5*y**2 - 1/5*y**3 + n = 0.
0, 1
Let r = 21 - 11. Let q be 9 - r - 6/(-2). Factor -1/4*b**3 + 1/4*b + 1/4*b**4 - 1/4*b**q + 0.
b*(b - 1)**2*(b + 1)/4
Let p be (5/(-4))/((-6)/(-96)). Let j be 16/p*(-1 - 14). Let z**4 + 2 + 0*z**4 + 2 - j*z - 6*z**3 + 13*z**2 = 0. What is z?
1, 2
Factor 0 - 2/7*k**3 + 6/7*k - 1/7*k**4 + 5/7*k**2.
-k*(k - 2)*(k + 1)*(k + 3)/7
Let d(p) be the first derivative of p**5/10 + p**4/4 + p**3/6 - 5. Factor d(u).
u**2*(u + 1)**2/2
Let j(w) be the third derivative of 0 + w**3 - 2*w**2 - 1/70*w**7 - 3/8*w**4 - 1/20*w**5 + 3/40*w**6 + 0*w. Find c such that j(c) = 0.
-1, 1, 2
Suppose m = -1 + 5. Factor 7*k**3 - 5*k**m - 3*k**3 + k**4 + 8*k**2.
-4*k**2*(k - 2)*(k + 1)
Determine t so that -6*t**2 + 32*t**3 - 30*t**2 - 32*t + 7*t**4 + 16 + 13*t**4 = 0.
-2, -1, 2/5, 1
Let 8/5 - 16/5*t + 6/5*t**2 = 0. Calculate t.
2/3, 2
Let i(f) be the first derivative of f**4/4 + f**3 + 3*f**2/2 + f + 16. Determine m so that i(m) = 0.
-1
Suppose 3*o + 4 = 13. Determine i so that 3/2*i**2 + 1/2*i**4 + 0 + 3/2*i**o + 1/2*i = 0.
-1, 0
Let a(x) be the second derivative of x**7/210 - x**5/10 + x**4/3 + 2*x**3/3 + 3*x. Let o(z) be the second derivative of a(z). Factor o(v).
4*(v - 1)**2*(v + 2)
Let a = 22 + -19. Suppose -w + a*w - 4 = 0. Let -1/2*y**3 + 0*y**w - 3/2*y**4 + 0*y + 0 = 0. What is y?
-1/3, 0
Let s be 0 + (-1 - (-2 - -3)). Let m be 2 - s - -3 - 3. Factor 3/2*i**3 + 9/4*i**m + 1 - 11/4*i**2 - i.
(i + 1)**2*(3*i - 2)**2/4
Factor 2/3*u - 6*u**3 - 8/3*u**5 - 22/3*u**4 + 0 - 2/3*u**2.
-2*u*(u + 1)**3*(4*u - 1)/3
Let b be 0/(2/((-2)/(-1))). Suppose 3*i + i = b. Factor 1/2*d**2 + i + d.
d*(d + 2)/2
Let b(m) = -m**3 - 6*m**2 - 8*m + 3. Let i be b(-4). Suppose r - 2*r = -i. Factor 0 + 2/7*j**r + 2/7*j + 4/7*j**2.
2*j*(j + 1)**2/7
Let v(n) be the third derivative of -2*n**2 + 0*n**3 - 1/300*n**5 + 0*n + 0*n**4 + 0. Factor v(t).
-t**2/5
Let l(k) be the second derivative of -9*k**5/40 + k**4/2 - k**3/4 - 6*k. Let l(p) = 0. What is p?
0, 1/3, 1
Factor 10*l**3 + 5*l**4 - 19*l**3 + 60*l**2 + 50*l + 39*l**3 + 15.
5*(l + 1)**3*(l + 3)
Let j(l) be the third derivative of -l**5/30 - 6*l**2. Factor j(a).
-2*a**2
Let m(s) = 5*s**2 + 3*s + 4. Let x(a) = 4*a**2 + 4*a + 4. Let f(g) = 2*m(g) - 3*x(g). Factor f(y).
-2*(y + 1)*(y + 2)
Suppose 4*c - 4 = -5*a + 6*a, 0 = 5*c - 5. Let t(y) be the first derivative of 0*y + 1/20*y**4 + a*y**2 - 4 - 1/15*y**3. Factor t(n).
n**2*(n - 1)/5
Let b be 5/2 - 5 - (-5 + 2). Suppose 0 - b*n**2 + 1/2*n**3 + 0*n = 0. Calculate n.
0, 1
Let g(p) = p - 1. Let f(k) = 21*k**2 + 21*k - 33. Let w(o) = f(o) - 6*g(o). Let l(n) = 5*n**2 + 4*n - 7. Let y(h) = 9*l(h) - 2*w(h). Let y(d) = 0. Calculate d.
-3, 1
Let p be (-2)/((-6)/(-3)) + 9/6. Suppose -13/4*v**2 - 23/4*v**4 - 27/4*v**3 + 0 - 7/4*v**5 - p*v = 0. What is v?
-1, -2/7, 0
Let f(o) be the second derivative of -o + 9/14*o**3 - 1/4*o**4 - 3/7*o**2 + 0. Factor f(s).
-3*(s - 1)*(7*s - 2)/7
Suppose 15 = 5*l + 3*v, 13 = 4*l - 5*v + 38. Factor l*q + 0 + 2/3*q**2.
2*q**2/3
Let o(q) be the first derivative of -2*q**3/27 + 7*q**2/9 - 4*q/3 + 34. Solve o(l) = 0 for l.
1, 6
Let p(a) = -9*a**2 + 11*a - 4. Let b(w) = -5*w**2 + 6*w - 2. Let u(r) = -11*b(r) + 6*p(r). Let j be u(-2). Factor 2*x + 2*x - j*x**3 - x**3 - x.
-3*x*(x - 1)*(x + 1)
Let -787 - y**3 - 4*y + 787 + 12*y**2 - 12*y**4 + 5*y**5 = 0. What is y?
-1, 0, 2/5, 1, 2
Solve 0 + 3/2*s**2 + 3/2*s = 0.
-1, 0
Let 6*o**2 - 73*o + 41*o + 33*o = 0. What is o?
-1/6, 0
Let y be 14/6 - (-2)/3. Solve 2*g**2 - g**2 - 3*g + 0*g + y - 1 = 0.
1, 2
Suppose 3*m + 6 = 4*n + 1, m - 1 = 0. Let r be (2/(-3))/(n/(-9)). Factor 0 + 1/3*a**2 - 1/3*a**4 + 0*a**r + 0*a.
-a**2*(a - 1)*(a + 1)/3
Let 4/5*l**4 - 24/5*l**3 + 32/5*l**2 + 24/5*l - 36/5 = 0. Calculate l.
-1, 1, 3
Factor -3/2*c**3 + 0 + c**2 + 2/3*c**4 - 1/6*c.
c*(c - 1)**2*(4*c - 1)/6
Find l, given that 2/3*l**2 + 2*l + 4/3 = 0.
-2, -1
Let t be 1*(-1 + (-1 - 322)). Let s = t + 2920/9. Factor s*z**3 - 2/9*z**2 + 0 + 0*z - 2/9*z**4.
-2*z**2*(z - 1)**2/9
Let h be (-2 + 8/12)*-3. Let n = -2 + 4. Factor t**h - 2*t**3 - 4*t**n + 1 + 2*t**2 + 2*t**3.
(t - 1)**2*(t + 1)**2
Let o = 106 - 101. Let m(y) be the third derivative of 0 + 1/30*y**o - y**2 + 0*y + 0*y**3 + 0*y**4. Factor m(x).
2*x**2
Suppose -25 = -4*t - 9. Let y(p) be the first derivative of 1/10*p**t + 0*p**2 - 1 + 0*p - 2/15*p**3. Factor y(g).
2*g**2*(g - 1)/5
Suppose 0 = 5*c - 6*c + 2. Factor v**5 - 2*v**5 + 2*v**3 - 2*v**5 + v**4 + c*v**5.
-v**3*(v - 2)*(v + 1)
Let d(c) be the second derivative of -2*c**6/15 + c**5 - c**4 - 10*c**3/3 + 8*c**2 - 15*c. Factor d(s).
-4*(s - 4)*(s - 1)**2*(s + 1)
Factor -24 + 5*d - 3*d - d + 4*d**2 + 3*d.
4*(d - 2)*(d + 3)
Let w = -36/19 + 451/228. Let v(m) be the third derivative of 0*m + 0*m**3 - 2*m**2 - w*m**4 + 7/60*m**5 + 0. Determine q, given that v(q) = 0.
0, 2/7
Let i(q) be the first derivative of 0*q**2 + 0*q + 5 - 1/15*q**5 - 1/12*q**4 + 0*q**3. Factor i(s).
-s**3*(s + 1)/3
Let s be -2 + 2 - (-8)/3. Suppose 4 = c - 0*c. Factor 2/3 + 2/3*j**c + s*j + 8/3*j**3 + 4*j**2.
2*(j + 1)**4/3
Let z = 110680411/2485 - 311772/7. Let n = 4/71 + z. Find m such that -1/5*m + n*m**2 + 0 = 0.
0, 1/3
Let a(m) be the third derivative of -m**6/240 + m**4/36 + m**3/6 + 3*m**2. Let f(v) be the first derivative of a(v). Factor f(l).
-(3*l - 2)*(3*l + 2)/6
Let d be 5 + -1*(-12)/(-4). Let -48*l + 49/2*l**4 + 8 + 84*l**3 + 44*l**d = 0. What is l?
-2, 2/7
Factor -4*t**5 - 8*t**4 + 8*t**4 + 35*t**3 + 8*t**4 - 39*t**3.
-4*t**3*(t - 1)**2
Suppose 2*j = 3*c + 4, j - 15 = -5*c - 0*j. Factor 8 + 8*i + 3*i**2 + 0*i**c + 0*i**2 - i**2.
2*(i + 2)**2
Let l(i) be the third derivative of 1/60*i**5 - 1/210*i**7 + 0*i**4 + 0 + 0*i**6 + 0*i**3 - 4*i**2 + 0*i. Let l(t) = 0. Calculate t.
-1, 0, 1
Let p = -17 - -17. Let r(l) be the first derivative of 0*l**3 - 1/4*l**4 + 1 + p*l**5 + 1/4*l**2 + 1/12*l**6 + 0*l. Factor r(x).
x*(x - 1)**2*(x + 1)**2/2
Let m(v) be the third derivative of v**5/60 - v**3/6 - 12*v**2. Find i, given that m(i) = 0.
-1, 1
Let x(q) be the third derivative of -q**7/42 - q**6/8 + 5*q**4/6 + q**2 - 6. Find f, given that x(f) = 0.
-2, 0, 1
Let c(i) = -i