 g(r).
r**2*(r + 1)**2/3
Let b(s) be the first derivative of s**5/10 - s**4/6 - s**3/18 + s**2/6 + 17. Solve b(z) = 0 for z.
-2/3, 0, 1
Let g(f) be the first derivative of -f**3/18 - f**2/12 + f/3 + 6. Determine w, given that g(w) = 0.
-2, 1
Let -1 - 5*d**2 + 5*d**4 + 1 + 0 = 0. Calculate d.
-1, 0, 1
What is m in 0 - 36/5*m + 12/5*m**2 - 1/5*m**3 = 0?
0, 6
Let m(v) = v + 5. Let c be m(-9). Let y be (1 - 1)/(c - -7). Find r such that 3/2*r**2 - 3/2*r + y = 0.
0, 1
Let n(k) be the second derivative of 1/10*k**5 + 3*k - 1/3*k**3 + 0*k**2 - 1/6*k**4 + 0 + 1/15*k**6. Let n(x) = 0. What is x?
-1, 0, 1
Let l(d) be the first derivative of -d**3/12 + 1. Factor l(m).
-m**2/4
Suppose -3*c + 10 = c - 2*b, b = 5*c - 11. Suppose -2*s = -3*y, -c*y + 17 = -y + 5*s. Factor -7 - 2*t**y - 8*t + 0*t**2 - 1.
-2*(t + 2)**2
Let n(f) = f**2 + 7*f + 6. Let l be n(-6). Let s(o) be the first derivative of -1/2*o**4 + 3 - 2/15*o**5 - 2/3*o**3 - 1/3*o**2 + l*o. Factor s(x).
-2*x*(x + 1)**3/3
Let k(p) be the second derivative of -p**8/1680 + p**6/300 - p**4/120 - p**2 - 2*p. Let r(i) be the first derivative of k(i). Factor r(x).
-x*(x - 1)**2*(x + 1)**2/5
Suppose -3*z - 15 = -4*u - 0*u, 0 = z + 5. Factor -9/5*j**3 + u*j - 9/5*j**4 + 0 - 3/5*j**2 - 3/5*j**5.
-3*j**2*(j + 1)**3/5
Factor 3*l**4 - 22*l**2 - 2*l**2 - 1 + 32*l + l**4 - 11.
4*(l - 1)**3*(l + 3)
Factor -24/13*c**2 + 2*c**3 + 8/13*c - 12/13*c**4 + 0 + 2/13*c**5.
2*c*(c - 2)**2*(c - 1)**2/13
Suppose 10*a - 3*a = 21. Let y(s) be the first derivative of 0*s - a + 1/3*s**3 + 0*s**2. Factor y(p).
p**2
Let b(v) be the third derivative of -v**7/735 - v**6/420 + v**5/210 + v**4/84 + v**2. Factor b(d).
-2*d*(d - 1)*(d + 1)**2/7
Let t(l) be the first derivative of -l**6/540 + l**5/135 + 7*l**2/2 - 6. Let s(p) be the second derivative of t(p). Find x, given that s(x) = 0.
0, 2
Factor 1/5*j**2 + 16/5 + 8/5*j.
(j + 4)**2/5
Let d be (-3)/3 + (-6)/2. Let b be 2/d*-1 + 0. What is s in 3/2*s**2 + b*s**3 + 3/2*s + 1/2 = 0?
-1
Let u(s) be the third derivative of -2*s**7/105 - s**6/15 + s**5/15 + s**4/3 + 8*s**2. Factor u(g).
-4*g*(g - 1)*(g + 1)*(g + 2)
Suppose 0 = -0*d - 2*d + 6. Let k(z) be the first derivative of -2 + 2/3*z**d + 0*z - z**2. Factor k(s).
2*s*(s - 1)
Let j(d) be the first derivative of -3/4*d**4 + 1/9*d**3 + 1/6*d**2 + 1 + 11/15*d**5 + 0*d - 2/9*d**6. Let j(w) = 0. Calculate w.
-1/4, 0, 1
Let k(s) be the third derivative of s**10/32400 - s**9/7560 + s**8/10080 + s**7/3780 - s**5/60 - 5*s**2. Let i(n) be the third derivative of k(n). Factor i(c).
2*c*(c - 1)**2*(7*c + 2)/3
Let o(n) be the first derivative of n**3/6 - 5*n**2 + 50*n + 47. Factor o(g).
(g - 10)**2/2
Let d(u) be the second derivative of -1/15*u**3 + 0*u**4 + 0*u**2 - u + 0 + 1/50*u**5. Factor d(v).
2*v*(v - 1)*(v + 1)/5
Let k(q) = -2*q + 13. Let m(s) = -3*s + 20. Let v(p) = -7*k(p) + 5*m(p). Let a be v(9). What is o in 1/3*o**3 + a*o**2 + 0 + 0*o + 1/3*o**5 - 2/3*o**4 = 0?
0, 1
Factor -5*r**5 - 15*r**5 - 8*r**3 - 21*r**4 + 49*r**4.
-4*r**3*(r - 1)*(5*r - 2)
Let q(m) be the second derivative of -1/12*m**4 + 0 - 3*m + 1/3*m**3 - 1/2*m**2. Factor q(b).
-(b - 1)**2
Solve 15 - 3*v**2 + 48*v - 39*v - 21*v = 0.
-5, 1
Let p(o) be the first derivative of 16*o**6/69 + 16*o**5/23 - 39*o**4/46 - 74*o**3/69 + o**2 - 6*o/23 - 33. What is w in p(w) = 0?
-3, -1, 1/4, 1
Suppose 0 = 2*g - 0*g - 2. Let r(c) = c**4 + c**3 + 5*c**2 - c - 6. Let x(k) = k**3 + k**2 - k - 1. Let a(n) = g*r(n) - 4*x(n). Find u, given that a(u) = 0.
-1, 1, 2
Let x(b) be the second derivative of -2*b**7/3 + 2*b**6/3 + 23*b**5/5 - 29*b**4/3 + 8*b**3/3 + 8*b**2 - 6*b. Find o, given that x(o) = 0.
-2, -2/7, 1
Find c such that 0 - c**2 + 3/2*c + 1/2*c**5 + c**4 - 2*c**3 = 0.
-3, -1, 0, 1
Let h(l) = 0*l + 3*l**3 + 3*l - 3*l**2 - 4*l - 1 + 2*l. Let o(u) = 4*u**3 - 4*u**2 + 2*u - 2. Let b(p) = 3*h(p) - 2*o(p). Factor b(n).
(n - 1)**2*(n + 1)
Suppose -5 + 2 = -b. Let r(t) be the first derivative of 0*t**2 - 1/20*t**5 - 1/16*t**4 + 0*t**b + 0*t + 3. Determine y, given that r(y) = 0.
-1, 0
Let b(s) be the first derivative of 25/42*s**4 + 2*s + 4/7*s**2 + 2 + 20/21*s**3. Let i(z) be the first derivative of b(z). Determine y so that i(y) = 0.
-2/5
Let m be 9/12 + (-25)/(-4). Let c = m - 5. Suppose 50/3*l**c + 88/3*l**3 - 8/3 + 10*l**4 - 16/3*l = 0. Calculate l.
-2, -1, -1/3, 2/5
Let c be (3/((-3)/(-10)))/1. Let k be (-2)/(-4)*(-3 + 2 - -5). Factor c*y**3 - 7*y**3 - 6*y**k + 3*y + 0*y**3.
3*y*(y - 1)**2
Suppose -v + a - 1 = 0, -2*v + 7*v - 22 = -4*a. Let z(n) be the first derivative of 1/3*n**3 + 1/3*n**v + 0*n + 2 + 0*n**4 - 1/15*n**5. Factor z(f).
-f*(f - 2)*(f + 1)**2/3
Let n(m) = -10*m**3 + 149*m**2 - 279*m + 151. Let d(k) = -5*k**3 + 74*k**2 - 139*k + 76. Let l(x) = -11*d(x) + 6*n(x). Factor l(t).
-5*(t - 14)*(t - 1)**2
Let j(r) be the first derivative of 4/7*r**2 - 5/14*r**4 + 16/21*r**3 - 2 + 0*r. What is s in j(s) = 0?
-2/5, 0, 2
Let o be (-418)/95 + (-5)/(-1). Factor 2/5 + o*b + 1/5*b**2.
(b + 1)*(b + 2)/5
Let u(w) be the second derivative of -2*w**6/75 - 11*w**5/50 - 2*w**4/5 + 3*w**3/5 - 4*w. Find h, given that u(h) = 0.
-3, 0, 1/2
Let x(q) be the second derivative of -q**5/4 - q**4/3 + 17*q**3/10 - 9*q**2/5 + 22*q. Let x(m) = 0. What is m?
-2, 3/5
Let q(a) = a + 21. Let y be q(-18). Determine p, given that 2/3*p**2 - 2/3*p**5 + 0*p + 2*p**4 - 2*p**y + 0 = 0.
0, 1
Let b be 0/(4/8*-2). Factor 3*i - 4*i**3 + i**3 + b*i**3.
-3*i*(i - 1)*(i + 1)
Solve -6/5*s - 66/5*s**4 + 6/5 - 36/5*s**2 + 18/5*s**5 + 84/5*s**3 = 0.
-1/3, 1
Let i(b) be the first derivative of b**5/15 - 5*b**4/6 + 32*b**3/9 - 16*b**2/3 + 34. Factor i(g).
g*(g - 4)**2*(g - 2)/3
Let l(y) be the first derivative of -1/12*y**2 + 1/24*y**4 + 9 + 0*y**3 + 0*y. Suppose l(x) = 0. Calculate x.
-1, 0, 1
Let m be (3/2 - -2) + (-33)/22. Let -2/7*a**m - 2/7*a**3 + 4/7*a + 0 = 0. Calculate a.
-2, 0, 1
Let k(a) be the third derivative of a**8/420 + a**7/210 - a**6/90 - a**5/30 - 7*a**3/6 - 4*a**2. Let h(n) be the first derivative of k(n). Factor h(w).
4*w*(w - 1)*(w + 1)**2
Let c(m) be the third derivative of -m**10/108000 + m**9/60480 + m**8/50400 - m**5/20 - 4*m**2. Let q(u) be the third derivative of c(u). Factor q(b).
-b**2*(b - 1)*(7*b + 2)/5
Let w be -6*((-8)/(-3))/(-4). Let h = 8 - w. Determine v, given that 4/5*v**2 + 1/5*v**5 + 6/5*v**3 + 1/5*v + 4/5*v**h + 0 = 0.
-1, 0
Factor -105/2*j - 15/4*j**3 + 20 + 145/4*j**2.
-5*(j - 8)*(j - 1)*(3*j - 2)/4
Let c(h) be the second derivative of 9*h**6/10 + 9*h**5/20 - 2*h**4 - 2*h**3 - 11*h. Factor c(l).
3*l*(l - 1)*(3*l + 2)**2
Suppose -4*k - 48 = -3*c, 0 = -5*c - 3*k + 5*k + 94. Factor 84*v**2 - 12*v + c*v - 88*v**4 + 431*v**4 + 294*v**3.
v*(7*v + 2)**3
Let t = -4 - -6. Let g = -78 - -81. Determine q so that 0*q + 8/3 - t*q**2 - 2/3*q**g = 0.
-2, 1
Let -1/4*o**4 - 1/4*o - 3/4*o**3 + 0 - 3/4*o**2 = 0. Calculate o.
-1, 0
Suppose 0*p = -3*p + 6. What is f in -3/4*f**5 + 3/2*f**4 - 3/2*f**p + 0*f**3 + 3/4*f + 0 = 0?
-1, 0, 1
Suppose -8*x - 3 = -9*x. Let -1/4*j - 3/4*j**x + j**2 + 0 = 0. Calculate j.
0, 1/3, 1
Let t be (-2)/(-10) + (-195)/(-150). Let h(x) be the first derivative of 4 - 2*x**3 + 0*x**2 + 12/5*x**5 + t*x**6 - 3/4*x**4 + 0*x. Factor h(s).
3*s**2*(s + 1)**2*(3*s - 2)
Let p = 24 + -17. Suppose b - p = -3. Factor -2*l + 0*l**2 + 3/2*l**3 + 0 + 1/2*l**b.
l*(l - 1)*(l + 2)**2/2
Let l(i) be the third derivative of i**10/756000 - i**8/100800 - i**5/60 + 2*i**2. Let o(j) be the third derivative of l(j). Factor o(t).
t**2*(t - 1)*(t + 1)/5
Factor -2/7*n**2 - 2/7*n + 0.
-2*n*(n + 1)/7
Suppose 112 = -4*j + h - 3*h, -112 = 4*j + 3*h. Let q be (-12)/j + 6/(-14). Factor 0*s + 1/3*s**2 - 1/3*s**3 + q.
-s**2*(s - 1)/3
Suppose -3 = 2*p + p. Let a be 1*(p - (-2 - 11)). Factor d + d**3 - 2*d**2 - a + 12.
d*(d - 1)**2
Let a = 25 + -15. Factor -6*v**3 + 6*v + 5*v**3 - 14*v**3 + v**2 - a*v**2.
-3*v*(v + 1)*(5*v - 2)
Let p = 4 - 5. Let x = 1 + p. Factor x - 2/7*m**4 + 0*m + 4/7*m**3 - 2/7*m**2.
-2*m**2*(m - 1)**2/7
Factor -2*x**2 + 1 + 5*x - 7 + 7*x - 4.
-2*(x - 5)*(x - 1)
Suppose -7 = -w + 2. Let q be (-6)/w + (1 - 0). Determine x so that 1/3*x**3 + 0 + 0*x + q*x**2 = 0.
-1, 0
Solve 6*y**2 - 4*y**4 - 2*y**2 + 16*y - 10*y**3 - 6*y**3 = 0 for y.
-4, -1, 0, 1
Let h be 92/7 + 1*(-20)/5. Determine d so that h*d + 14