 be the first derivative of p(d). Factor m(o).
-(o + 1)*(3*o + 2)/4
What is o in -25*o**2 - 16*o + 25*o**4 - o**3 - 6*o**3 + 15*o**5 + 2*o**3 + 6*o = 0?
-1, -2/3, 0, 1
Let t(y) be the second derivative of -y**6/100 - 2*y**5/75 - y**4/60 - y**2/2 - 3*y. Let d(c) be the first derivative of t(c). Factor d(a).
-2*a*(a + 1)*(3*a + 1)/5
Let v = 6 - 3. Let q(d) be the third derivative of 1/180*d**5 + 0 - 1/36*d**4 + 0*d - v*d**2 + 1/18*d**3. Factor q(i).
(i - 1)**2/3
Let c(i) be the second derivative of 0*i**3 + 0 + 1/20*i**5 + 4*i + 1/6*i**4 + 0*i**2. Factor c(t).
t**2*(t + 2)
Let z(w) be the third derivative of -1/15*w**5 - 1/6*w**4 + 2*w**2 + 0 + 4/3*w**3 + 0*w. Factor z(o).
-4*(o - 1)*(o + 2)
Let r(f) = -f - 3. Let y be r(-5). Suppose -y = i - 5. Factor -6*z**2 - 3*z**4 - 2*z**i + 6*z**4 + 3 + 3*z**5 + 3*z - 4*z**3.
3*(z - 1)**2*(z + 1)**3
Suppose 4*j - 6*j + n + 5 = 0, -4*n = -3*j. Suppose -j*b = -2*b - 4. Factor 2/5*m**3 - 2/5*m - 2/5 + 2/5*m**b.
2*(m - 1)*(m + 1)**2/5
Solve -14*j + 0*j - 36 + j**2 - 2*j**2 + 2*j = 0.
-6
Let k be ((-1)/6)/((35/21)/(-5)). Let y(s) be the second derivative of 0 + 1/4*s**4 + 1/2*s**2 - 1/20*s**5 - 2*s - k*s**3. Factor y(c).
-(c - 1)**3
Let y(v) be the first derivative of v**4/4 - 13*v**3/3 - v**2/2 + 13*v - 54. Find z, given that y(z) = 0.
-1, 1, 13
Let o be 15/6*72/45. Suppose 0 = o*c - c. Factor -6/7*v**3 + 16/7*v**2 + c - 8/7*v.
-2*v*(v - 2)*(3*v - 2)/7
Let z(d) be the third derivative of 0 - 1/1176*d**8 + 0*d**3 + 0*d - 1/735*d**7 + 1/210*d**5 + 0*d**4 + 1/420*d**6 - 4*d**2. What is t in z(t) = 0?
-1, 0, 1
Let o(q) be the second derivative of 1/4*q**2 + 0*q**4 + 0 - 1/80*q**5 + 1/8*q**3 - 2*q. Find i such that o(i) = 0.
-1, 2
Suppose -2*t + 0*t**2 - 6*t - 5*t**2 + 4*t**3 + t**2 = 0. What is t?
-1, 0, 2
Let v(r) be the third derivative of -r**8/12 + 74*r**7/105 - 73*r**6/30 + 67*r**5/15 - 14*r**4/3 + 8*r**3/3 - 2*r**2. What is z in v(z) = 0?
2/7, 1, 2
Factor -1/9*m - 7/9*m**3 + 1/3*m**4 + 0 + 5/9*m**2.
m*(m - 1)**2*(3*m - 1)/9
Let h(r) = r**4 + r**3 - 8*r**2 - 2*r + 2. Let j(p) = 9*p**2 + 3*p - 3. Let k(s) = -3*h(s) - 2*j(s). Find w, given that k(w) = 0.
-2, 0, 1
Let n(d) be the second derivative of -3*d**5/80 + 11*d**4/16 - 35*d**3/8 + 75*d**2/8 - 40*d. Suppose n(g) = 0. Calculate g.
1, 5
Solve -3*w**3 + 4/3 - 14/3*w**2 - 1/3*w = 0.
-1, 4/9
Let a(d) be the first derivative of d**6/30 - d**5/10 - d**4/4 + 2*d**3/3 - 3*d**2 - 2. Let g(p) be the second derivative of a(p). Find s, given that g(s) = 0.
-1, 1/2, 2
Let w be ((-2)/(-15))/((-20)/(-30)). Let t(c) be the second derivative of -7/30*c**3 + 0 + 1/12*c**4 + w*c**2 - c. Determine o so that t(o) = 0.
2/5, 1
Suppose -z - 15 + 17 = 0. Suppose 10 = z*i + 3*i. Determine n so that -2*n + 1/2*n**i + 2 = 0.
2
Let c(s) be the third derivative of -s**8/6720 - s**7/5040 - s**5/10 - 3*s**2. Let i(o) be the third derivative of c(o). What is x in i(x) = 0?
-1/3, 0
Suppose -6*c + c = -15. Suppose c*q - 8 = 4. Let 0 + 8/5*x**3 - 6/5*x**5 - 2/5*x + 4/5*x**2 - 4/5*x**q = 0. Calculate x.
-1, 0, 1/3, 1
Let r(l) be the first derivative of -l**6/360 + l**4/24 + l**3/9 - l**2/2 + 3. Let v(g) be the second derivative of r(g). Suppose v(q) = 0. What is q?
-1, 2
Let p(d) be the third derivative of d**8/13440 + d**5/20 + 2*d**2. Let z(b) be the third derivative of p(b). Find c, given that z(c) = 0.
0
Let a be 5 - (2 + -3)*-1. Factor 2*z**a - 6*z**2 - 3*z**2 + 2 + 5*z**2.
2*(z - 1)**2*(z + 1)**2
Let u(k) be the third derivative of k**8/840 - k**6/180 + k**3/3 - 2*k**2. Let m(o) be the first derivative of u(o). Solve m(z) = 0.
-1, 0, 1
Suppose 0 = -4*l + 1 + 3. Let d = 3 - l. What is n in -2/5*n**d + 0 + 4/5*n - 2/5*n**3 = 0?
-2, 0, 1
Let x(d) be the third derivative of -d**10/75600 + d**9/37800 - d**4/24 - 3*d**2. Let t(q) be the second derivative of x(q). Factor t(s).
-2*s**4*(s - 1)/5
Let p(w) be the third derivative of 0*w**3 + 0*w**5 + 0 + 1/540*w**6 + 0*w**4 + w**2 + 0*w. Determine y so that p(y) = 0.
0
Let l = 30 - 30. Let h(p) be the third derivative of 0*p + 0*p**7 + p**2 + 1/1176*p**8 - 1/420*p**6 + 0*p**5 + l*p**3 + 0*p**4 + 0. Factor h(j).
2*j**3*(j - 1)*(j + 1)/7
Determine t, given that t - 3*t**3 + 9*t**2 - 3*t**5 + 5*t + 0*t**5 - 9*t**4 = 0.
-2, -1, 0, 1
Let x(d) be the second derivative of 2*d - 1/6*d**2 + 0*d**3 + 1/36*d**4 + 0. Factor x(o).
(o - 1)*(o + 1)/3
Let w(y) be the first derivative of 4*y + 6/5*y**5 - 1/2*y**4 + y**2 - 10/3*y**3 - 2. Find o, given that w(o) = 0.
-1, -2/3, 1
Let l(r) be the third derivative of r**7/210 - r**5/60 - 5*r**3/6 - r**2. Let i(p) = 9 - 1 - 7 + 1. Let n(q) = 5*i(q) + 2*l(q). Factor n(z).
2*z**2*(z - 1)*(z + 1)
Let v(n) be the third derivative of n**8/504 + 2*n**7/315 - n**6/60 - 12*n**2. Factor v(a).
2*a**3*(a - 1)*(a + 3)/3
Let z = -10 - -24. Factor -136 + 136 + z*a**3 + 2*a**2 + 16*a**4 - 32*a**5.
-2*a**2*(a - 1)*(4*a + 1)**2
Let l(m) be the second derivative of -1/12*m**4 - m - 1/6*m**3 + 0*m**2 + 1/20*m**5 + 0 + 1/30*m**6. Let l(c) = 0. Calculate c.
-1, 0, 1
Let b = -51 - -51. Let s(d) be the first derivative of 1 + b*d + 1/11*d**2 + 2/33*d**3. Determine n so that s(n) = 0.
-1, 0
Suppose 3*p + 80 - 8 = 0. Let g = 74/3 + p. Factor -1/3*s**4 - g*s + s**2 + 0*s**3 + 0.
-s*(s - 1)**2*(s + 2)/3
Let l(m) be the third derivative of m**8/1176 - 8*m**7/735 + 13*m**6/420 - m**5/35 - 34*m**2. Factor l(y).
2*y**2*(y - 6)*(y - 1)**2/7
Suppose -4*y + 15 = 3. Let u be (7 + -9)*10/(-4). Factor -y*o - 1 + o**2 - 1 - u*o + 7*o.
(o - 2)*(o + 1)
Let w(n) be the first derivative of 2/21*n**3 + 1/14*n**4 - 6 + 0*n + 0*n**2. Factor w(m).
2*m**2*(m + 1)/7
Suppose 3/2*f**2 + 12*f + 21/2 = 0. Calculate f.
-7, -1
Let j(u) be the first derivative of -u**6/21 + 6*u**5/35 + 39. Solve j(i) = 0.
0, 3
Let l(r) be the first derivative of 0*r - 1 - 1/11*r**2 + 2/33*r**3. Let l(o) = 0. Calculate o.
0, 1
Suppose -24*v**2 + 20*v + 24*v**2 - 5*v**3 = 0. Calculate v.
-2, 0, 2
Let i(v) be the third derivative of 0*v**3 + 1/12*v**4 + 0*v**5 + 0 - 1/80*v**6 - 3*v**2 + 0*v - 1/420*v**7. Solve i(r) = 0.
-2, 0, 1
Let c(l) = -9*l**3 + 23*l**2 - 17*l. Let a(k) = k**2 + k. Let y be (-8)/4 + 0 + 1. Let v(g) = y*a(g) - c(g). Factor v(o).
o*(3*o - 4)**2
Let d(b) be the first derivative of -b**5/30 - b**4/8 - b**3/18 + b**2/4 + b/3 + 8. Suppose d(f) = 0. What is f?
-2, -1, 1
What is d in -1196*d + 1196*d - d**2 + 4 = 0?
-2, 2
Let y(c) = c**2 - c - 1. Let l(v) = -3*v**2 - 28*v - 223. Let n(x) = -2*l(x) - 4*y(x). Factor n(u).
2*(u + 15)**2
Let q(p) be the third derivative of p**8/112 - p**7/105 - p**6/40 + p**5/30 + 3*p**2. Factor q(i).
i**2*(i - 1)*(i + 1)*(3*i - 2)
Let f = 11 + -8. Let b(h) be the second derivative of 0*h**4 + 1/20*h**5 + 0 + 0*h**2 - 2*h - 1/6*h**f. Factor b(x).
x*(x - 1)*(x + 1)
Let l be ((-2)/(-4))/(95 - 0). Let n = l - -373/1330. Determine g so that -2/7 - 4/7*g**3 + n*g**4 + 0*g**2 + 4/7*g = 0.
-1, 1
Suppose -160 = -4*w - w. Let m(c) be the first derivative of -32/3*c**6 + 80/3*c**3 + w*c**5 - 2 - 10*c**2 - 40*c**4 + 2*c. Determine p so that m(p) = 0.
1/2
Let u be 185/30 + 12/(-2). Solve 1/3*n + 1/2 - u*n**2 = 0.
-1, 3
Let m(x) be the first derivative of 0*x + 0*x**2 - x**4 - 1 + 2/3*x**3 - 1/12*x**6 + 1/2*x**5. Determine o so that m(o) = 0.
0, 1, 2
Let b(t) be the third derivative of t**5/360 + t**4/48 + t**3/18 - 35*t**2. Let b(l) = 0. Calculate l.
-2, -1
Suppose 2*p - 36 = -7*p. Let d(t) be the second derivative of 0 - 1/18*t**3 - 4*t + 0*t**p + 0*t**2 + 1/60*t**5. Factor d(q).
q*(q - 1)*(q + 1)/3
Let r(i) be the first derivative of 3*i**5/5 + 3*i**4/2 - 7*i**3 - 30*i**2 - 36*i - 2. Factor r(m).
3*(m - 3)*(m + 1)*(m + 2)**2
Suppose -4*y + 48 = -0*y. Suppose 2 = -5*b + y. Factor 0*w**3 + 0*w - 1/4*w**b + 1/4*w**4 + 0.
w**2*(w - 1)*(w + 1)/4
Suppose -5*t = f - 25, -t + 14 = 4*f - 10. Factor -15*a**4 - 2*a - a**2 + 2*a**2 + 2*a**3 + 14*a**t.
-a*(a - 2)*(a - 1)*(a + 1)
Let y(t) be the second derivative of 5*t**4/6 - 2*t**3/3 - 3*t. Factor y(n).
2*n*(5*n - 2)
Find x, given that 8 + 2/9*x**2 + 8/3*x = 0.
-6
Factor 3*c + 0 - 3/4*c**4 - 3*c**3 + 3/4*c**2.
-3*c*(c - 1)*(c + 1)*(c + 4)/4
Determine s so that 16*s**3 - 2 - 2 - 2*s**4 - 24*s**2 - s**4 + 16*s - s**4 = 0.
1
Let u(d) be the first derivative of -4*d**3/3 - 24*d**2 - 144*d + 20. Let u(a) = 0. Calculate a.
