/3*f**4 - w*f + 2/3*f**2 + 0 + 1/3*f**5 + 0*f**3 = 0. What is f?
-1, 0, 1
Let x(t) be the third derivative of -t**8/1680 + t**7/175 - 7*t**6/300 + 4*t**5/75 - 3*t**4/40 + t**3/15 - 2*t**2. Factor x(f).
-(f - 2)*(f - 1)**4/5
Suppose 4*x - 72 = -a + 6*a, -3*a = -x + 25. Suppose 4*j - x = -l - 0*l, 2*j + 4*l - 24 = 0. Factor -1/4*c + 1/4*c**3 + 1/4 - 1/4*c**j.
(c - 1)**2*(c + 1)/4
Let t(y) be the third derivative of -y**11/1663200 + y**9/151200 - y**7/25200 - y**5/20 + 5*y**2. Let b(r) be the third derivative of t(r). Factor b(i).
-i*(i - 1)**2*(i + 1)**2/5
Let x(b) be the third derivative of b**8/70560 - b**6/2520 - b**5/15 + 6*b**2. Let f(k) be the third derivative of x(k). Determine c, given that f(c) = 0.
-1, 1
Let v(g) be the second derivative of g**6/24 - 7*g**5/16 + 15*g**4/8 - 25*g**3/6 + 5*g**2 + 9*g. Determine f so that v(f) = 0.
1, 2
Let o(v) be the third derivative of v**7/70 - v**6/4 + 13*v**5/20 + 15*v**4/2 + 18*v**3 + 25*v**2. Factor o(s).
3*(s - 6)**2*(s + 1)**2
Let k(l) be the first derivative of l**4/3 + 4*l**3/3 - 6*l**2 + 20*l/3 - 11. Solve k(j) = 0 for j.
-5, 1
Let k(m) be the second derivative of -m**7/21 - m**6/30 + m**5/6 + m**4/6 - 2*m**2 + 4*m. Let s(l) be the first derivative of k(l). Find r, given that s(r) = 0.
-1, -2/5, 0, 1
Let u(h) be the third derivative of h**7/735 - h**5/35 - 2*h**4/21 - h**3/7 + 61*h**2. Determine t, given that u(t) = 0.
-1, 3
Let u(n) be the first derivative of -2*n**3/57 - n**2/19 + 8. Determine l so that u(l) = 0.
-1, 0
Let b(s) be the third derivative of -s**7/8820 - s**6/2520 + s**5/210 + s**4/4 - 7*s**2. Let i(a) be the second derivative of b(a). Solve i(h) = 0.
-2, 1
Suppose 12 = 2*q + 2*r, 2*q + 4*r + 0*r - 16 = 0. Factor -m - 3/2*m**3 + 0 + 1/2*m**5 + 1/2*m**q - 5/2*m**2.
m*(m - 2)*(m + 1)**3/2
Factor -2/5*y**3 + 2/5*y**4 + 2/5*y - 2/5*y**2 + 0.
2*y*(y - 1)**2*(y + 1)/5
Factor -2*r**3 + 0*r**3 - 4*r**3 + 3*r**3 - 6*r - 9*r**2.
-3*r*(r + 1)*(r + 2)
Let a(m) be the third derivative of m**5/20 - m**4/3 + 5*m**3/6 - 18*m**2. Determine n so that a(n) = 0.
1, 5/3
Let s(f) = -1. Let b(w) = -w**4 - 3*w**3 - 2*w**2 - 3. Let k(j) = -b(j) + 3*s(j). Let k(a) = 0. What is a?
-2, -1, 0
Let a(j) = -j**2 + 5*j - 2. Suppose -3*r + 12 = -0*r. Let y be a(r). Factor q + 1 + 0*q**2 + q**y - 5*q + 2*q.
(q - 1)**2
Let c(h) be the third derivative of -h**7/70 - h**6/20 + h**4/4 + h**3/2 - 4*h**2. Let c(a) = 0. Calculate a.
-1, 1
Factor -1336*p**2 + 1364*p**2 - 8*p + 5*p**3 - 17*p**3.
-4*p*(p - 2)*(3*p - 1)
Suppose 2/5*k**2 - 32/5*k + 2/5*k**3 + 8 = 0. What is k?
-5, 2
Suppose 0 = 2*p - 3*b - 24, 2*b + 20 = 3*p - p. Let q be (-1)/(-1 - (-4)/p). What is r in -q*r**2 + 4*r**4 - 2*r - 5*r**2 + 4*r**4 + 2*r**3 = 0?
-1, -1/4, 0, 1
Let w be ((-6)/(-4))/((-7)/(-42)). Factor 6 - 2*n**3 + 0*n + n**3 + w*n - 2*n**3.
-3*(n - 2)*(n + 1)**2
Suppose 0*r + 5/4*r**3 + 0 + 5/2*r**2 = 0. What is r?
-2, 0
Let z(c) = -c**3 + 7*c**2 + 9*c - 5. Let q be z(8). Factor -2*f**3 - 6*f + 2*f - f**q + 6*f**2 + f**3.
-2*f*(f - 2)*(f - 1)
Let c(i) be the third derivative of -i**8/1848 + i**6/330 - i**4/132 - 10*i**2. Factor c(t).
-2*t*(t - 1)**2*(t + 1)**2/11
Let y = 137/60 + -11/5. Let l(i) be the second derivative of -3*i + i**2 + 1/6*i**3 + 0 - y*i**4. Factor l(d).
-(d - 2)*(d + 1)
Let j(c) be the third derivative of 1/18*c**4 - 2/135*c**5 + 1/189*c**7 + 1/126*c**8 - 1/30*c**6 - 1/27*c**3 + 0 + 0*c + 2*c**2. Find k, given that j(k) = 0.
-1, 1/4, 1/3, 1
Suppose 3*f - 4*q = -0 - 2, 0 = -4*f - 3*q + 14. Let v = 1 - -1. Suppose -2*r**2 + 4*r**2 + f*r + 2*r**v + 2*r**3 = 0. Calculate r.
-1, 0
Let o = 3 - 1. Let a(w) be the first derivative of -1 + o*w + 1/6*w**3 - w**2. Factor a(v).
(v - 2)**2/2
Let l(z) = 7*z**4 + 8*z**3 - 2*z**2 + 3. Let v = 6 + -10. Let t(b) = -8*b**4 - 9*b**3 + 3*b**2 - 4. Let d(w) = v*l(w) - 3*t(w). Factor d(p).
-p**2*(p + 1)*(4*p + 1)
Let s(x) be the first derivative of x**6/60 - 3*x**5/80 + x**4/48 + 2*x + 4. Let j(g) be the first derivative of s(g). Find k such that j(k) = 0.
0, 1/2, 1
Let z be (-1 - -3) + (-5 - -6). Suppose 0 = 5*o - 7 - z. Factor -3 - 2 + 7 - o*a**2.
-2*(a - 1)*(a + 1)
Let z(v) be the first derivative of 0*v**2 + 26/15*v**5 - v**4 - 34/9*v**3 + 2/3*v**6 + 8/3*v + 1. Let z(n) = 0. What is n?
-2, -1, -2/3, 1/2, 1
Factor -1/3*l**5 - 4/3*l**3 - 2/3*l**2 - 2/3 + 4/3*l**4 + 5/3*l.
-(l - 2)*(l - 1)**3*(l + 1)/3
Let l be ((-1)/3)/(3/(-54)). Suppose -2*n + l = n. Factor -8/9*t**n - 2/9*t + 0.
-2*t*(4*t + 1)/9
Suppose -2*s + 3 = -1. Let m be s/(-3) + 33/9. Factor 0*p**2 + 0*p**3 - 3*p**3 - p**2 + 4*p**m.
p**2*(p - 1)
Determine f so that 0 + 4*f**5 + 0 + 0 + 16*f**4 = 0.
-4, 0
Suppose -12/5*a**2 + 8/5*a**3 - 16/5*a + 4/5*a**4 + 16/5 = 0. Calculate a.
-2, 1
Determine f so that -28/11*f - 98/11 - 2/11*f**2 = 0.
-7
Let p = -3 + 3. Let b(r) = 5*r - 5 + 0 + p + r**3. Let g(z) = -z + 1. Let u(m) = b(m) + 5*g(m). Suppose u(n) = 0. What is n?
0
Let t(q) be the third derivative of -q**8/504 - q**7/945 + q**6/108 + q**5/270 - q**4/54 - 3*q**2. Find s, given that t(s) = 0.
-1, 0, 2/3, 1
Let s(k) = -3*k**2 - 6*k + 9. Let c = 8 - 26. Let m be (32/24)/(4/c). Let v(a) = 3*a**2 + 5*a - 8. Let q(g) = m*v(g) - 5*s(g). Suppose q(w) = 0. What is w?
-1, 1
Let g = -137/3 - -46. Let r(a) = a + 8. Let x be r(-6). Suppose 0*f + 0 - g*f**x = 0. What is f?
0
Determine v so that 13*v**2 - 25*v**2 - 16 + 3*v + 27*v + 22*v = 0.
1/3, 4
Let c(i) be the third derivative of -i**6/360 - i**3/2 - i**2. Let x(j) be the first derivative of c(j). Let x(w) = 0. Calculate w.
0
Suppose -5*w + 1 + 4 = 0. Let f be w/3 + (-32)/(-12). Factor -y**2 - 3 + f + 5*y**2 + 2*y + 2*y**3.
2*y*(y + 1)**2
Let p(q) be the first derivative of -2 - 1/4*q**3 - 9/8*q**2 - 3/2*q. Let p(m) = 0. Calculate m.
-2, -1
Solve -54*r**2 + 252*r - 8*r**3 + 32*r**3 + 18*r**3 - 108 - 3*r**4 - 129*r**2 = 0.
1, 6
Let f(z) be the second derivative of 2*z + 0*z**4 - 1/330*z**5 + 0*z**3 + z**2 + 0. Let n(d) be the first derivative of f(d). Factor n(o).
-2*o**2/11
Let p = -5313/34 + 2725823/17374. Let x = p - 4/73. Factor 2/7 + 0*r**2 - 2/7*r**4 - 4/7*r**3 + x*r.
-2*(r - 1)*(r + 1)**3/7
Suppose 5*g - 41 + 16 = 0, -g = 5*s - 25. Suppose 6 + 2/3*a**2 - s*a = 0. What is a?
3
Suppose -5*i - 5*g + 33 = -i, 2*g - 4 = 3*i. Let h be 40/42 + 2/(-3). Determine a so that -4/7*a + h + 2/7*a**i = 0.
1
Let t(x) = -x**5 + 27*x**4 - 23*x**3 - 19*x**2 + 29*x - 13. Let o(g) = 14*g**4 - 12*g**3 - 10*g**2 + 15*g - 7. Let m(l) = -5*o(l) + 3*t(l). Solve m(q) = 0.
-1, 2/3, 1, 2
Let m(z) be the third derivative of 0*z + 0 + 1/240*z**5 + 4*z**2 + 0*z**3 - 1/96*z**4. Factor m(t).
t*(t - 1)/4
Let r(w) = -w**2 - 7*w - 3. Let o be -1*(-1)/((-4)/24). Let t be r(o). Let u**2 + 1/2*u + 0 + 1/2*u**t = 0. Calculate u.
-1, 0
Let g(r) be the second derivative of 0*r**2 + 3/10*r**5 + 1/3*r**3 - 1/2*r**4 - 3*r - 1/15*r**6 + 0. Solve g(f) = 0.
0, 1
Let n = -178019/180 + 989. Let c(l) be the third derivative of 0*l + 0 + 0*l**4 + 0*l**3 - n*l**5 - 2*l**2. Factor c(j).
-j**2/3
Let x(z) be the first derivative of 3*z**4/4 - 7*z**3/3 + 2*z**2 + 1. Let y(o) = -o**2 + o. Let n(g) = x(g) - 2*y(g). Factor n(i).
i*(i - 1)*(3*i - 2)
Let n(i) be the second derivative of i**4/24 + i**3/6 - 3*i**2/4 + 26*i. Factor n(w).
(w - 1)*(w + 3)/2
Let c(a) = 2*a**3 + a**2 - 3*a + 3. Let y be c(-3). Let t = -33 - y. Factor t*p**2 + 0*p + 0 - 3/5*p**3.
-3*p**3/5
Factor 13*g + g + g - 5*g + g**2 + 25.
(g + 5)**2
Let s(b) = 3*b**2 + 10*b. Let w(j) = -3*j**2 - 11*j. Let q(o) = 5*s(o) + 4*w(o). Factor q(m).
3*m*(m + 2)
Let v(h) = 2*h - 1. Let q be v(2). Let r be ((-1)/(-12))/(q/16). Let -r*y**3 + 0*y + 2/3*y**4 + 0 - 2/9*y**2 = 0. What is y?
-1/3, 0, 1
Let c = 5 + -1. Determine s, given that -2 - s**c + 2 - 2*s**3 - s**4 = 0.
-1, 0
Let y = 9 - 6. Suppose 0 = -0*i - y*i. Factor 3/4*l**3 + i + 0*l - 1/4*l**2.
l**2*(3*l - 1)/4
Let p(a) be the second derivative of 0 - 1/2*a**3 - 1/4*a**4 - 6*a + 3/20*a**5 + 3/2*a**2. Factor p(b).
3*(b - 1)**2*(b + 1)
Let t(o) be the first derivative of -o**3/12 + 3*o**2/8 + 5. Let t(q) = 0. What is q?
0, 3
Suppose -3 = -34*t + 33*t. Factor 1/4*v - 1/4*v**5 - 1/2*v**2 + 0 + 0*v**t + 1/2*v**4.
-v*(v - 1)**3*(v + 1)/4
Let i = -4 + 30/7. Factor -i*y**2 - 4/7*y + 0 + 2/7*y**3.
2*y*(y - 2)*(y + 1)/7
Let s(a) be the first deriva