 - 6)
Let j(r) be the second derivative of -2*r**7/21 - 2*r**6/15 + r**5/5 + r**4/3 + 6*r. Solve j(a) = 0.
-1, 0, 1
Suppose 0 = -3*w - 3*t + 18, -2*t + 12 = 3*w - t. Suppose -3*g + g + 4*o = 10, -w*g - 10 = -5*o. Factor 1/3*y**g + 0*y**3 + 0*y**4 + 0 + 0*y + 0*y**2.
y**5/3
Solve -16*m + 22*m**2 + 6 - 4*m - 4*m**2 - 4*m**3 = 0.
1/2, 1, 3
Let y = -1171/5 - -237. Let 0 - y*m**2 - 4/5*m = 0. Calculate m.
-2/7, 0
Let o(y) be the second derivative of 0 - 2*y + 0*y**4 + 0*y**2 + 0*y**3 - 1/10*y**5 + 1/15*y**6. Factor o(t).
2*t**3*(t - 1)
Let f(x) = x + 7. Let k be f(6). Solve 0*t**3 - k*t**2 + 9*t**2 + 2*t**3 + 2*t = 0.
0, 1
Let l(m) = -2*m**2 - 4*m. Let f(p) = -11*p - 2*p**2 + 5*p + 2*p. Let x(k) = -2*f(k) + 3*l(k). Determine q so that x(q) = 0.
-2, 0
Determine h, given that 12*h + 0*h - 4 - 2*h**2 - 6 - 8 = 0.
3
Let p(m) be the first derivative of -3*m**2 + 4*m + 0*m**5 - 1/3*m**6 - 8 + 2*m**4 - 4/3*m**3. Factor p(r).
-2*(r - 1)**3*(r + 1)*(r + 2)
Let w be 2/(-26) - ((-230)/455 + 0). Factor 3/7*r**2 + 0 + w*r**3 + 0*r.
3*r**2*(r + 1)/7
Let j be (-38)/(-35) - 2*(-1)/(-7). Factor 0 + 0*z**2 + 2/5*z - 6/5*z**3 - j*z**4.
-2*z*(z + 1)**2*(2*z - 1)/5
Let x(h) be the second derivative of h**6/1440 - h**3/6 + 5*h. Let w(k) be the second derivative of x(k). Factor w(d).
d**2/4
Factor -10*y + 2*y**2 - y**2 + 4*y**2.
5*y*(y - 2)
Let z be ((-8)/(-10))/(74/11). Let m = z + 3/37. Solve -1/5*a**4 + 0*a**2 + m - 2/5*a + 2/5*a**3 = 0.
-1, 1
Suppose -3*y - 2*n + 1 = 3, 4*y - 3*n = 20. Suppose -6*h**y - 2*h - 3*h**2 - h = 0. Calculate h.
-1/3, 0
Let d be (17/(-238))/(1/(-4)). Factor -10/7*h + 2/7*h**3 - 6/7*h**2 - 4/7 + d*h**4.
2*(h - 2)*(h + 1)**3/7
Factor -4/5*l**2 + 0 - 2*l**5 + 0*l - 2/5*l**3 + 16/5*l**4.
-2*l**2*(l - 1)**2*(5*l + 2)/5
Let o = 6954/7 - 993. Find k, given that -3/7*k**3 - 9/7*k - o*k**4 + 0 + 15/7*k**2 = 0.
-3, 0, 1
Determine b so that 0*b - 2*b - 3*b**2 - 2*b**3 + b**3 = 0.
-2, -1, 0
Let z(o) = -o**5 - o**3 - 1. Let f(x) = -6*x**5 + x**4 - 10*x**3 - x**2 + 2*x - 7. Let r(u) = 3*f(u) - 21*z(u). Suppose r(c) = 0. What is c?
-2, -1, 0, 1
Let s(r) be the third derivative of r**8/60 - 3*r**7/70 + r**6/45 - 5*r**3/6 - 8*r**2. Let v(k) be the first derivative of s(k). Factor v(w).
4*w**2*(w - 1)*(7*w - 2)
Let h(m) be the first derivative of -3*m**5/5 + 3*m**4/2 - m**3 - 3. Factor h(t).
-3*t**2*(t - 1)**2
Suppose s - 9 + 4 = 0. Suppose -3*i + g = -7, -3*i - s = 3*g - 20. Let -2*x**4 - x**2 - 2*x**2 + x**2 + 0*x**4 - 4*x**i = 0. Calculate x.
-1, 0
Let -2*l**2 - l**4 + 0*l**5 + 0*l**5 + l**3 - l**5 + 3*l**2 = 0. What is l?
-1, 0, 1
Suppose -2*j - 2*j = 0. Suppose 5*d - 7 = -5*a + 8, j = 2*a - 4*d. Factor 1/2 - 1/2*y**a + 0*y.
-(y - 1)*(y + 1)/2
Suppose -3*w = -11 + 5. Suppose -2 = -2*n + w. Find i, given that 6/7*i**3 + 0 - 6/7*i**n + 2/7*i - 2/7*i**4 = 0.
0, 1
Let r(n) = -10*n**5 + 35*n**4 - 35*n**3 + 20*n**2 + 20. Let t(s) = -s**3 + s**2 + 1. Let f(j) = -r(j) + 20*t(j). Determine y so that f(y) = 0.
0, 1/2, 3
Let a(c) be the second derivative of -2/33*c**4 + 0*c**2 + 0 + 5/33*c**6 + 5/22*c**5 + c - 4/33*c**3. Suppose a(y) = 0. What is y?
-1, -2/5, 0, 2/5
What is g in 22/3*g**2 + 26/3*g + 4/3 = 0?
-1, -2/11
Solve -35/4*n**5 + 11/4*n**4 + 45/2*n**3 + 2*n + 0 + 13*n**2 = 0 for n.
-1, -2/5, -2/7, 0, 2
Let b(y) = -y**4 + 9*y**3 + 15*y**2 - y + 6. Let x(q) = 10*q**3 + 15*q**2 + 5. Let v(i) = -5*b(i) + 6*x(i). Factor v(p).
5*p*(p + 1)**3
Let m = 110 - 989/9. Let p(o) be the first derivative of 3 + 0*o - 1/6*o**2 - m*o**3. Suppose p(c) = 0. What is c?
-1, 0
Let y be 1/(-5) - (-78)/90. Determine x so that -4/3 - 10/3*x + 2/3*x**4 - 2*x**2 + y*x**3 = 0.
-1, 2
Let b(g) be the first derivative of -5*g**3/3 + 5*g**2/2 + 10*g - 26. Find a, given that b(a) = 0.
-1, 2
Suppose 2*y - u - 1 = 0, 3*u + 6 = 3. Let s be (-8)/(-3)*(-12)/(-16). Factor y*r - r**s - 4 - r - 3*r.
-(r + 2)**2
Let x(f) be the third derivative of f**8/3780 - f**7/756 + f**6/810 + f**3/6 - 6*f**2. Let j(i) be the first derivative of x(i). Let j(n) = 0. Calculate n.
0, 1/2, 2
Let g(m) be the second derivative of -m**6/1440 + m**3/3 - 3*m. Let c(l) be the second derivative of g(l). Find h such that c(h) = 0.
0
Suppose 4*b + 2*a + 2 = 6, -4*b + 2*a + 12 = 0. Factor -c**b + 13 - 10 + 12*c + 3*c**2 + 15.
2*(c + 3)**2
Suppose 8*v = 12*v - 840. Let b be 182/v - 1/5. Let -b*z + 0 - 1/3*z**3 + z**2 = 0. Calculate z.
0, 1, 2
Suppose o + 6 = -2*x - 0, -2*o + 4*x = -20. Suppose 0 = -r - o*r. Factor -2 - 4*i - 2*i + r*i**2 - 3*i**2 - i**2.
-2*(i + 1)*(2*i + 1)
Factor -2*f**3 - 112 + 108 + 4*f + 2*f.
-2*(f - 1)**2*(f + 2)
Let r be (-1)/(2 + 0 - 4). Let g(l) be the first derivative of -r*l**4 + 1/3*l**3 + l**2 - l - 3. Factor g(t).
-(t - 1)*(t + 1)*(2*t - 1)
Let v(n) be the third derivative of 4*n**2 + 3/4*n**4 - 1/20*n**5 + 0 - 9/2*n**3 + 0*n. Suppose v(l) = 0. Calculate l.
3
Let i(x) be the third derivative of 0 + 1/30*x**5 - 5*x**2 - 1/672*x**8 + 0*x**3 - 1/40*x**6 - 1/48*x**4 + 0*x + 1/105*x**7. Determine y so that i(y) = 0.
0, 1
Suppose -3*v + 0*v + 60 = 0. Suppose v = 4*k + 8. Factor -3*l**3 - 2 - 5*l**k + 2*l**2 + l + 7*l.
-2*(l - 1)*(l + 1)*(4*l - 1)
Let g(f) be the second derivative of -f**5/40 + f**3/12 - f. Factor g(d).
-d*(d - 1)*(d + 1)/2
Let f = -111 + 1003/9. Factor 0 + f*j + 2/9*j**2.
2*j*(j + 2)/9
Suppose 4*h + 4*g + 4 = -4, 0 = -2*h - 3*g - 8. Factor 4/5*j**3 + 0*j**4 + 0 - 4/5*j**5 + 0*j**h + 0*j.
-4*j**3*(j - 1)*(j + 1)/5
Factor -2 - 6*b - 9*b**2 - 5*b**2 + 4*b**3 + 6*b**4 + 2*b**5 + 12*b**2 - 2*b**2.
2*(b - 1)*(b + 1)**4
Suppose 0 = -3*a + 15, -2*a = 4*p - 4*a + 18. Let h = p + 4. Determine z so that 0*z + 2/9*z**h - 2/9 = 0.
-1, 1
Let m(o) be the third derivative of -1/3*o**4 - 1/15*o**6 + 0*o + 1/105*o**7 + 1/5*o**5 + 1/3*o**3 + 0 + 3*o**2. Determine k so that m(k) = 0.
1
Let o(f) = f**2 + f - 2. Let m be o(1). Solve -3/4*x**2 - 3/2*x + m = 0.
-2, 0
Determine a so that -2*a**4 - 2*a**4 - 12*a**2 + 6*a**3 + 6*a**3 + 0*a**3 + 4*a = 0.
0, 1
Let t = -47 - 23. Let v be t/(-21) + 2/3. Suppose -2/5*z**5 + 0*z - 2/5*z**3 + 0 + 0*z**2 + 4/5*z**v = 0. What is z?
0, 1
Factor -6/11*r + 4/11 + 2/11*r**2.
2*(r - 2)*(r - 1)/11
Let t(n) be the third derivative of n**8/168 - n**6/60 - 13*n**2. What is i in t(i) = 0?
-1, 0, 1
Let i be 141/420 - 4/14. Let v(a) be the third derivative of -2*a**2 - 1/150*a**5 - i*a**4 + 0*a - 2/15*a**3 + 0. Factor v(t).
-2*(t + 1)*(t + 2)/5
Let f(l) be the second derivative of -l**7/21 + l**6/15 + l**5/10 - l**4/6 + 6*l. Factor f(z).
-2*z**2*(z - 1)**2*(z + 1)
Let f(s) = -s**2 - 22*s + 2. Let n be f(-22). Suppose -20/9*v**3 + 2/3*v - 4/3*v**2 + 14/3*v**4 + 2/9 - n*v**5 = 0. What is v?
-1/3, 1
Let z(t) = -13*t**2 - 8*t - 13. Let g(u) = -6*u**2 - 4*u - 6. Suppose -4*p - 4 = 12. Let s(x) = p*z(x) + 9*g(x). Factor s(l).
-2*(l + 1)**2
Let l(r) be the first derivative of -r**7/105 + r**5/30 + 3*r**2 - 2. Let j(c) be the second derivative of l(c). What is f in j(f) = 0?
-1, 0, 1
Let f be (9/12)/(1/30*9). Solve 0 + 0*t**2 + f*t**3 - 5/2*t = 0.
-1, 0, 1
Suppose 0*a = 5*a + 2*t - 4, 2*a - 5*t = -10. Let c(i) be the second derivative of a*i**2 - 2*i**3 + 0 + i**4 - 3/20*i**5 + i. What is g in c(g) = 0?
0, 2
Let d(m) be the third derivative of 1/80*m**6 + 1/8*m**4 - 13/240*m**5 - 1/6*m**3 - 1/840*m**7 + 0*m + 3*m**2 + 0. Factor d(s).
-(s - 2)**2*(s - 1)**2/4
Let z = 6 - 4. Let t = 14/15 + -41/60. Factor t*i - 1/4*i**3 + 0 + 0*i**z.
-i*(i - 1)*(i + 1)/4
Suppose -3*p = 5*f - 7 - 0, -4*p - 4 = 0. Find w, given that 0 - 2*w - 1/2*w**3 - f*w**2 = 0.
-2, 0
Let z(w) be the second derivative of 2*w**6/75 + 4*w**5/25 + 4*w**4/15 + 11*w. What is p in z(p) = 0?
-2, 0
Let h be 3*((-5)/(-75))/((-2)/(-4)). Factor 1/5*q**3 + 0 - h*q + 1/5*q**2.
q*(q - 1)*(q + 2)/5
Let z(o) be the second derivative of 2*o**6/15 + 3*o**5/5 + o**4/3 - 2*o**3 - 4*o**2 + 10*o. Solve z(y) = 0 for y.
-2, -1, 1
Let m(f) be the third derivative of f**8/84 + 2*f**7/35 - 2*f**2. Suppose m(t) = 0. Calculate t.
-3, 0
Let v(f) be the third derivative of -4*f**2 - 1/180*f**6 - 1/630*f**7 - 1/180*f**5 + 0*f**3 + 0*f + 0*f**4 + 0. Factor v(h).
-h**2*(h + 1)**2/3
Let u(i) be the second derivative of -1/6*i**2 + 1/36*i**3 + 1/72*i**4 + 0 - 3*i. What is s in u(s) = 0?
-2, 1
Let p(u) be the third derivative of u**6/60 - u**5/30 + 6*u**2. F