+ 9*r**2/8 + 19*r. Find d such that h(d) = 0.
-3
Let n be (-12)/135*(-12)/128. Let k(i) be the third derivative of 2*i**2 + 0*i**3 + 0*i + 0 + 1/60*i**5 + 0*i**4 - n*i**6. Factor k(x).
-x**2*(x - 1)
Let x(u) = u. Let z(s) = 98*s**2 + 62*s + 8. Let l(r) = -6*x(r) + z(r). Solve l(y) = 0.
-2/7
Suppose 0*o**4 - o**5 + 0*o + 3*o**3 + 0*o**4 + o**4 + 2*o - 5*o**2 = 0. What is o?
-2, 0, 1
Suppose 20 = -j + 2*v, -4*j + 0*j = -4*v + 60. Let b be (1/j)/((-10)/25). Factor 0 - 1/4*m**2 + b*m**4 - 1/4*m**3 + 1/4*m.
m*(m - 1)**2*(m + 1)/4
Let f be (-7)/(-5)*15/2. Let c = 11 - f. Factor -2*p + c + 3/2*p**2.
(p - 1)*(3*p - 1)/2
Let i(t) be the third derivative of 9*t**8/28 - 18*t**7/35 - t**6/2 + 9*t**5/5 - 16*t**4/9 + 8*t**3/9 + 26*t**2. What is u in i(u) = 0?
-1, 1/3, 2/3
Let c(y) = 4*y**2 - 2*y + 1. Let v be c(1). Suppose 0*x - v*x - 10 = -5*h, -3*x = -3*h + 6. Find g such that 1/6*g**3 + 0*g**h - 1/6*g + 0 = 0.
-1, 0, 1
Let h(f) = -5*f**2 + 5*f + 3. Let o(r) = -11*r**2 + 10*r + 6. Let p(s) = 5*h(s) - 2*o(s). Let z(w) = -w. Let i(g) = p(g) + 5*z(g). Factor i(j).
-3*(j - 1)*(j + 1)
Find y such that -4/5*y**3 - 3/5*y**2 + 4/5 - 1/5*y**4 + 4/5*y = 0.
-2, -1, 1
Let n(d) = 8*d**3 - 12*d**2 + 10*d - 1. Let g(v) = 7*v**3 - 12*v**2 + 11*v - 2. Let o(r) = 5*g(r) - 4*n(r). Solve o(l) = 0 for l.
1, 2
Let v(h) be the second derivative of -h**7/840 - h**6/360 + h**5/120 + h**4/24 + 5*h**3/6 + h. Let y(k) be the second derivative of v(k). Factor y(t).
-(t - 1)*(t + 1)**2
Let k(a) = -2*a**3 - 6*a**2 + 15*a - 8. Let q(f) = 29*f + 0 - 12*f**2 - 3*f**3 - 4 - 12. Let w(v) = 5*k(v) - 3*q(v). Solve w(y) = 0.
2
Let q be 10/(-45)*(-27)/15. Solve 0 + 2/5*n - 2/5*n**2 + 2/5*n**4 - q*n**3 = 0.
-1, 0, 1
Let v = 271/27 - 10. Let k(y) be the third derivative of -2*y**2 - 1/270*y**6 + 0*y + v*y**3 + 1/54*y**4 - 1/945*y**7 + 0 + 0*y**5. Factor k(x).
-2*(x - 1)*(x + 1)**3/9
Let g be (-8)/2*(-25)/20. Let h(b) = b**3 - 6*b**2 + 5*b + 2. Let v be h(g). Factor -3*w**v + 3*w**2 - 2*w + w**2.
w*(w - 2)
Let b(f) = -4*f + 24. Let t be b(6). What is n in 2/9*n**3 + t + 0*n - 4/9*n**4 + 0*n**2 + 2/9*n**5 = 0?
0, 1
Let j be (1 - 2)*(-2)/1. Let q(p) = -21*p**3 + 15*p**2 + p - 5. Let f(l) = -5*l + 6*l + 0 - l**2 - 1. Let u(m) = j*q(m) - 10*f(m). Determine y so that u(y) = 0.
0, 2/7, 2/3
Find k, given that -14*k**2 - 18 + 0*k**3 - 24*k - 6*k - 2*k**3 = 0.
-3, -1
Let n be 3/9 + 8/3. Suppose -n*h = -0*h. Factor h + 0*g**2 - 1/3*g**3 + 0*g.
-g**3/3
Let 3*r**2 - r**3 + 13 - 3*r**4 - 7 - 6 + r**5 = 0. What is r?
-1, 0, 1, 3
Let i(s) = -s**5 + s**4 - s**2 - s + 1. Let m(t) = 24*t**5 - 12*t**4 + 16*t**3 + 30*t**2 + 22*t - 22. Let n(w) = -44*i(w) - 2*m(w). Factor n(k).
-4*k**2*(k + 1)*(k + 2)**2
Factor 8/3*g - 4/3*g**2 + 0.
-4*g*(g - 2)/3
Let d be 1/(-3) - (-154)/210. Let n(m) = -m - 11. Let g be n(-11). Factor 0*u + 1/5*u**5 + 0 + 1/5*u**3 + d*u**4 + g*u**2.
u**3*(u + 1)**2/5
Let c be -2*5/50 + (-3)/(-15). Let q(h) be the first derivative of -1/10*h**5 + 0*h**2 - 1/12*h**6 + 1/8*h**4 + 1/6*h**3 - 4 + c*h. Let q(i) = 0. Calculate i.
-1, 0, 1
Let h(y) be the first derivative of 2*y**3/3 - 2*y**2 + 2*y + 2. Factor h(l).
2*(l - 1)**2
Let b(j) be the third derivative of -j**5/210 - j**4/21 - j**3/7 + 6*j**2. Suppose b(z) = 0. Calculate z.
-3, -1
Let y(k) = -k**3 + 4*k**2 + 5*k + 5. Let l be y(5). Let j be (-1 + -3)/(-7 + l). Factor -2/9*d**j - 8/9*d - 8/9.
-2*(d + 2)**2/9
Factor -3/2*p - 2*p**2 + 1/2.
-(p + 1)*(4*p - 1)/2
Suppose 3*z - 4*n - 13 = 10, 2*z = -5*n. Determine j so that 0*j**2 + j**2 + j + 4*j**3 - z*j**3 - j**4 = 0.
-1, 0, 1
Factor 25*r**5 - 2*r**2 - 240*r + 2994*r**4 + 80 + 42*r**2 + 200*r**3 - 3129*r**4.
5*(r - 2)**3*(r + 1)*(5*r - 2)
Let w be (-147)/(-126)*2/7. Let -1/3*s**2 + w*s**4 - 1/3*s**3 + 1/3*s + 0 = 0. What is s?
-1, 0, 1
Let o = -2 + 4. Let l be o/5 - 12/(-30). Let -l*s + 2/5 + 2/5*s**2 = 0. What is s?
1
Let q(s) be the second derivative of s**6/5 - 2*s**5 + 13*s**4/2 - 10*s**3 + 8*s**2 - 41*s. Determine j, given that q(j) = 0.
2/3, 1, 4
Let m(w) be the third derivative of w**7/30 - 3*w**6/40 + w**5/30 - 7*w**2. Find q such that m(q) = 0.
0, 2/7, 1
Let l be 12/(-1) + 3/1. Let f be 1/l*(-34)/17. Factor -f*y + 2/9 + 2/9*y**3 - 2/9*y**2.
2*(y - 1)**2*(y + 1)/9
Let n(b) be the second derivative of -2*b**6/45 + b**5/15 - 4*b. Determine i, given that n(i) = 0.
0, 1
Suppose -4*z + 25 = -9*z. Let b(h) = -h**2 - 5*h + 4. Let j be b(z). What is f in 4/13*f**2 - 8/13*f - 6/13*f**j + 2/13 + 8/13*f**3 = 0?
-1, 1/3, 1
Let h(l) be the third derivative of -l**6/40 + l**5/10 - l**4/4 + 2*l**2. Let b(p) = p. Let q(z) = -3*b(z) - h(z). Factor q(j).
3*j*(j - 1)**2
Let p(u) = -3*u**2 + 6*u - 12. Let h(q) = 1. Let x(r) = 12*h(r) + p(r). Solve x(f) = 0 for f.
0, 2
Let c(i) = -i**3 + 7*i**2 - i + 1. Let b be c(7). Let w be (-3)/(-1)*(-4)/b. Let -1/3*o - o**w + 0 = 0. Calculate o.
-1/3, 0
Suppose -3 = 2*s - 7. Find l such that -3*l**s - 3*l**2 + 7*l**2 = 0.
0
Let w(g) be the first derivative of -2*g**3/21 - 4*g**2/7 - 8*g/7 - 10. Factor w(m).
-2*(m + 2)**2/7
Let o(f) be the first derivative of -2*f**5/5 - 5*f**4/2 - 6*f**3 - 7*f**2 - 4*f + 6. Factor o(c).
-2*(c + 1)**3*(c + 2)
Let t(z) be the third derivative of -z**8/448 + z**7/105 - z**5/24 + z**4/32 + z**3/12 - 32*z**2. Suppose t(u) = 0. Calculate u.
-1, -1/3, 1, 2
Let j(c) = -6*c**2 + 18*c - 15. Let n(z) = -7*z**2 + 18*z - 15. Let x(y) = -4*j(y) + 3*n(y). Factor x(p).
3*(p - 5)*(p - 1)
Let c = -119 + 29. Let a be 10/c + 4/9. Factor 0 - 1/3*m - a*m**2.
-m*(m + 1)/3
Let u(o) be the first derivative of 3/2*o**4 - 3 + 0*o + 4/3*o**3 + 0*o**2. Factor u(k).
2*k**2*(3*k + 2)
Let y(h) = -5*h**3 - 4*h**2 + 9*h + 7. Let m(r) = -2*r**3 - 2*r**2 + 4*r + 3. Let x(n) = -7*m(n) + 3*y(n). Suppose x(u) = 0. What is u?
0, 1
Let z(k) be the third derivative of 0*k**3 + 0*k - 1/315*k**7 - 1/60*k**6 + k**2 + 0 - 1/30*k**5 - 1/36*k**4. Factor z(w).
-2*w*(w + 1)**3/3
Let f(g) = -g**2 - 6*g + 7. Let t = 16 + -23. Let n be f(t). Suppose n*v - 3*v**3 + 0 + 3/2*v**4 + 3/2*v**2 = 0. What is v?
0, 1
Let z(v) be the first derivative of v**3 - 2/5*v**5 - 1/4*v**4 + 2 - v + 1/2*v**2. Factor z(q).
-(q - 1)*(q + 1)**2*(2*q - 1)
Factor -6 + 6 + 5*p**5 - 5*p**3.
5*p**3*(p - 1)*(p + 1)
Let g(a) = -a**2 - 9*a + 5. Let o be g(-10). Let l be 10/o + (-16)/(-6). Find m, given that 1/3 - l*m**2 - 1/3*m = 0.
-1, 1/2
Let d(b) be the first derivative of -2*b**5/5 + b**4/2 - 5. Factor d(s).
-2*s**3*(s - 1)
Factor -2*m + 4/3 + 2/3*m**2.
2*(m - 2)*(m - 1)/3
Let t(a) be the third derivative of -7*a**5/20 + 5*a**4/4 + 4*a**3 + 14*a**2 - 2. Factor t(i).
-3*(i - 2)*(7*i + 4)
Let m be ((-8)/2)/(-40) + (-396)/(-90). Factor -3/2*h**4 - m*h**2 + 3/2*h + 0 + 9/2*h**3.
-3*h*(h - 1)**3/2
Let v be (2/6)/((-1)/(-21)). Find p such that -3*p + v*p**2 - 6 - 9*p**2 + 2*p - 9*p + 2*p**3 = 0.
-1, 3
Let f = 3 + 0. Suppose c = f + 3. Solve -c + 0 + 2 - 10*t - 2*t**3 - 8*t**2 = 0.
-2, -1
Let u(l) = l**3 + 6*l**2 - l - 6. Let r(x) = -x**2 + 1. Let s = 2 + -13. Let z be 53/s + 4/(-22). Let a(v) = z*r(v) - u(v). Determine d so that a(d) = 0.
-1, 1
Suppose -3*t - 16 = -7*t. Let j be t/(-20) + 6/10. Find m such that -j*m - 2/5*m**2 + 0 = 0.
-1, 0
Suppose 0*z - 4*z = -12. Suppose -z*x = -5*x. Factor x + 2*d**2 + 2*d + 3*d**2 + 1 - 4*d**2.
(d + 1)**2
Let m = 63 + -123/2. Factor -1/2*g - 3/2*g**3 - m*g**2 - 1/2*g**4 + 0.
-g*(g + 1)**3/2
Let p(c) be the first derivative of 0*c + 1/12*c**3 + 1 - 1/8*c**2. What is x in p(x) = 0?
0, 1
Factor 0 - 98/13*s**3 - 4/13*s + 42/13*s**2.
-2*s*(7*s - 2)*(7*s - 1)/13
What is b in 8/7*b**3 - 4/7*b - 4/7*b**5 - 8/7*b**2 + 4/7 + 4/7*b**4 = 0?
-1, 1
Let c = 1271/10 - 127. Let p(a) be the third derivative of 1/105*a**7 + 0 + 0*a + 2/5*a**5 + 0*a**3 + c*a**6 + a**2 + 2/3*a**4. Factor p(r).
2*r*(r + 2)**3
Let u(q) be the first derivative of -q**3 - 27*q**2/2 - 38. Suppose u(k) = 0. Calculate k.
-9, 0
Let -1 - 1/2*u**2 - 3/2*u = 0. Calculate u.
-2, -1
Let r(l) be the first derivative of -l**7/280 + 3*l**5/40 - l**4/4 - l**3/3 - 2. Let q(n) be the third derivative of r(n). Factor q(s).
-3*(s - 1)**2*(s + 2)
Let d be ((-5)/(-2))/5*68. Factor -4*w - 29*w**3 - 13*w**3 - 22*w**2 - 13*w**5 - d*w**4 + 3*w**5.
-2*w*(w + 1)**3*(5*w + 2)
Suppose 6*r - 3*r - 9 = 0. Let o(l) be the second derivative of -1/18*l**r +