*y**2 - 125*y + 55. Let p(v) = -5*v**3 - 6*v**2 + 14*v - 6. Let r(u) = 6*n(u) + 55*p(u). Factor r(q).
-5*q*(q - 2)*(q + 2)
Let c(s) be the first derivative of -s**4/18 + s**2/9 - 1. Let c(x) = 0. Calculate x.
-1, 0, 1
Let a(f) be the first derivative of f**9/1512 + f**8/840 - f**3/3 + 2. Let c(w) be the third derivative of a(w). Factor c(s).
2*s**4*(s + 1)
Find g, given that -5/2*g**2 + 0*g - 1/2*g**3 + 0 = 0.
-5, 0
Let m(x) be the first derivative of 1/12*x**4 + 0*x + 1/9*x**3 + 0*x**2 - 3. Factor m(z).
z**2*(z + 1)/3
Let c(d) = 13*d**3 + 5*d - 9. Suppose -2 = p + 7. Let j(k) be the second derivative of 3*k**5/20 + k**3/6 - k**2 - k. Let l(f) = p*j(f) + 2*c(f). Factor l(v).
-v*(v - 1)*(v + 1)
Let c(z) be the second derivative of 0 - 3/4*z**2 + 7/16*z**4 - 2*z + 5/8*z**3. Factor c(x).
3*(x + 1)*(7*x - 2)/4
Suppose 3*o - 6 + 0 = 0. Let i(y) be the first derivative of y**3 + 2*y + 3 - 5/2*y**o. Factor i(v).
(v - 1)*(3*v - 2)
Let q = -1272 - -6364/5. Factor 4/5*v**2 - 4/5*v**3 + 0*v + q*v**5 - 4/5*v**4 + 0.
4*v**2*(v - 1)**2*(v + 1)/5
Let n(g) be the second derivative of -1/36*g**4 - 1/6*g**2 + 1/9*g**3 - 3*g + 0. Factor n(k).
-(k - 1)**2/3
Let n be ((-16)/(-4))/4*(2 - 0). Determine h, given that -2/5*h**n + 0 + 2/5*h**4 - 4/5*h**3 + 4/5*h = 0.
-1, 0, 1, 2
Suppose 9 = -2*f - f. Let v be 0 - -2 - 3/f. Solve -3*q**2 - 2*q**2 + v*q**2 - 1 - 2*q + 6*q**3 + 7*q**2 = 0.
-1, -1/3, 1/2
Let m be ((-20)/6)/(-5)*3. Find a such that -4 + 10*a**m + 6*a - 10*a**2 - 2*a**3 = 0.
-2, 1
Let l(f) be the second derivative of f**7/735 + f**6/210 - f**5/210 - f**4/42 + f**2 - 3*f. Let w(z) be the first derivative of l(z). Factor w(u).
2*u*(u - 1)*(u + 1)*(u + 2)/7
Suppose 3*w - 15 = -0*w. Suppose -5*p - 2 = -4*p + 2*t, -w*p - 2*t = -6. Factor -2*s**4 - p*s + 0*s**4 + 2*s**3 + 1 + s**4.
-(s - 1)**3*(s + 1)
What is s in -2/3*s**3 + 1/6*s**5 + 1/2*s + 0 - 1/3*s**2 + 1/3*s**4 = 0?
-3, -1, 0, 1
Factor 2/11 + 2/11*r**2 - 4/11*r.
2*(r - 1)**2/11
Let z(h) be the second derivative of -1/135*h**6 - 4/27*h**3 - 2/45*h**5 - 1/9*h**2 - 6*h + 0 - 1/9*h**4. What is q in z(q) = 0?
-1
Let w(i) be the second derivative of -1/24*i**4 + 1/60*i**5 + 0*i**3 + i + 1/2*i**2 + 0. Let o(y) be the first derivative of w(y). Solve o(s) = 0 for s.
0, 1
Let g(f) be the second derivative of -f**7/98 - f**6/35 + 6*f. Solve g(v) = 0 for v.
-2, 0
Let w = 172081/120 + -1434. Let s(d) be the third derivative of -1/24*d**4 + 2*d**2 + 1/840*d**7 + 0*d + 1/24*d**3 - w*d**6 + 1/40*d**5 + 0. Factor s(j).
(j - 1)**4/4
Let z(t) be the third derivative of t**5/60 + t**4/8 + t**3/3 - 4*t**2. Let k be z(0). Factor -2/9*i**k + 2/9 + 0*i.
-2*(i - 1)*(i + 1)/9
Let c be -3 - -3 - 3/(42/(-4)). Let c*f + 0 - 2/7*f**2 = 0. What is f?
0, 1
Determine t so that 4 + t - 7 + 6 + 3*t**2 - 7*t = 0.
1
Let a be ((-40)/(-22))/(-1) + -2 + 4. Let 2/11*n - 2/11*n**2 - 2/11*n**3 + a = 0. What is n?
-1, 1
Suppose 3*q = -2*i - 2*i - 2, 0 = 3*q + 2*i - 8. Let b be -1 + 5 + q/6. What is v in 0 + 2/5*v**4 + 2/5*v**b + 0*v - 2/5*v**3 - 2/5*v**2 = 0?
-1, 0, 1
Let o(l) be the second derivative of -l**6/900 + l**5/300 + l**4/30 - l**3/6 - 3*l. Let s(r) be the second derivative of o(r). Factor s(c).
-2*(c - 2)*(c + 1)/5
Let g(r) be the third derivative of -r**6/1080 - r**5/360 + r**3/3 + r**2. Let b(p) be the first derivative of g(p). Factor b(l).
-l*(l + 1)/3
Let c = -142283/13 + 10937. Let z = -892/117 - c. Determine l so that z*l**3 + 0*l + 0*l**2 + 0 = 0.
0
Determine k so that -8 - 6*k - 2*k**2 + 5*k + 11*k = 0.
1, 4
Let q(l) = l**3 - 31*l**2 - 40*l - 20. Let d(z) = -5*z**3 + 185*z**2 + 240*z + 120. Let k(t) = -6*d(t) - 35*q(t). Factor k(c).
-5*(c + 1)*(c + 2)**2
Let w(m) = -m**3 + m**2 - m + 1. Let y be w(1). Let x be (0 - -2) + y + 2. Factor 3/4*u**2 + 1/4*u - u**x + 0 + 0*u**3.
-u*(u - 1)*(2*u + 1)**2/4
Suppose -2*c + 0*c = -q + 93, 1 = -q. Let m = c - -331/7. Factor 8/7*v**3 + 8/7*v + 12/7*v**2 + 2/7*v**4 + m.
2*(v + 1)**4/7
Suppose 0 = -v + 5*b - 7 + 27, -20 = 5*v + 5*b. Suppose v*o**2 + 0 - 2/7*o**3 + 0*o + 2/7*o**4 = 0. What is o?
0, 1
Let o(i) be the second derivative of -i**6/6 - i**5/2 + 5*i**3/3 + 5*i**2/2 - 15*i. Factor o(l).
-5*(l - 1)*(l + 1)**3
Suppose 0 = -2*y - 0*y. Factor y*g**4 - 2*g**2 - g**4 + 3*g**2 - g**3 + g**5.
g**2*(g - 1)**2*(g + 1)
Let f(t) be the first derivative of -2*t**6/3 - 4*t**5/5 + t**4 + 4*t**3/3 + 5. Factor f(c).
-4*c**2*(c - 1)*(c + 1)**2
Solve -24*b**2 - 4*b - 32*b**3 + 12*b**2 + 48*b**2 = 0.
0, 1/8, 1
Let r(y) be the first derivative of 4*y**5/25 - y**4/5 - 31. Let r(s) = 0. What is s?
0, 1
Factor s**5 + 11*s**4 - 4*s - 12*s**3 + 8 - 9*s**2 - s**2 + 13*s**3 - 7*s**4.
(s - 1)**2*(s + 2)**3
Let c(g) = -2*g**2 + 14*g + 4. Let q be c(7). Factor 2/9*w - 2/9*w**3 + 0 - 2/9*w**2 + 2/9*w**q.
2*w*(w - 1)**2*(w + 1)/9
Let g(h) be the third derivative of 1/9*h**4 + 0*h - 1/9*h**3 + 0 - 2*h**2 - 1/30*h**5. Solve g(j) = 0.
1/3, 1
Find i such that i - 2*i**3 + 3*i**3 + i - 1 - 3*i**2 + i = 0.
1
Let q(s) be the third derivative of s**6/540 - s**5/180 - 5*s**3/6 - 2*s**2. Let h(j) be the first derivative of q(j). Find c, given that h(c) = 0.
0, 1
Let m(g) = g - 6. Let p = 24 - 16. Let s be m(p). Determine v so that 3*v**2 + 0*v**2 - 2*v**2 - 4*v + v**s = 0.
0, 2
Let g(f) be the third derivative of -f**7/735 + f**6/210 - f**4/42 + f**3/21 + 5*f**2. Factor g(j).
-2*(j - 1)**3*(j + 1)/7
Let s(o) be the second derivative of -o**7/420 + o**5/60 - o**3/12 + o**2/2 + 2*o. Let c(q) be the first derivative of s(q). Find n, given that c(n) = 0.
-1, 1
Solve 0 + 3*j**3 + 14*j**2 + 24*j + 12 + j**2 = 0 for j.
-2, -1
Let b(z) be the second derivative of z**7/98 + z**6/14 + 9*z**5/70 - z**4/7 - 4*z**3/7 + 6*z. Let b(i) = 0. Calculate i.
-2, 0, 1
Suppose -26*v = -24*v. Let -1/3*u**5 + 0*u**2 + v*u + 2/3*u**4 - 1/3*u**3 + 0 = 0. What is u?
0, 1
Let t = -14 - -21. Let i(s) = -2*s**4 - 2*s**3 + 4*s**2 + 6*s. Let x(c) = 2*c**4 + 3*c**3 - 5*c**2 - 7*c. Let b(a) = t*i(a) + 6*x(a). Factor b(l).
-2*l**2*(l - 1)**2
Let m(s) = -s**2 - 25*s - 98. Let a be m(-20). Factor -4 - 2*x - 15/2*x**3 + 17*x**a.
-(x - 2)*(3*x - 2)*(5*x + 2)/2
Let v(i) be the second derivative of -i**6/120 + i**5/40 - i**4/48 - 15*i. Factor v(p).
-p**2*(p - 1)**2/4
Let q be (-2)/3*(-16 + 7). Factor -j + 5 + j**2 - 11 + q.
j*(j - 1)
Let g be (7/(28/(-8)))/(-4). Let h(r) be the first derivative of g*r**2 + 0*r - 1/2*r**4 + 1/6*r**6 - 1 + 0*r**5 + 0*r**3. Factor h(l).
l*(l - 1)**2*(l + 1)**2
Let i(g) be the second derivative of g**4/54 - g**3/9 + 2*g**2/9 - g. Determine w so that i(w) = 0.
1, 2
Let c(r) = r**3 + 11*r**2 + r + 15. Let o be c(-11). Let g(s) = 2*s - 3. Let l be g(o). Factor 0*b**3 + b**3 + l*b**4 + b**4 - 3*b**4.
b**3*(3*b + 1)
Let h(l) be the first derivative of -2*l**3/3 - 5*l**2/3 - 4*l/3 - 10. Factor h(a).
-2*(a + 1)*(3*a + 2)/3
Let x = 4 - 1. Let s(j) be the third derivative of 0 + 0*j**4 + 0*j + 1/180*j**5 + 0*j**x - 1/180*j**6 + 1/630*j**7 - 3*j**2. What is w in s(w) = 0?
0, 1
Let t(b) be the third derivative of -b**7/35 - 23*b**6/600 + 7*b**5/150 + b**4/24 - b**3/15 + 11*b**2. Suppose t(u) = 0. Calculate u.
-1, -1/2, 1/3, 2/5
Let z be (-3)/(0 + 3 + -4). Let d = 6 - z. Let -6*m**3 - 5*m**4 + 2*m**3 + d*m**4 - m**2 - m**2 = 0. Calculate m.
-1, 0
Let l = -5039/30 + 168. Let d(c) be the second derivative of 3*c - l*c**4 - 1/5*c**2 + 2/15*c**3 + 0. Determine i, given that d(i) = 0.
1
Let z(m) = -m**2 - 6*m + 5. Let l be z(-6). Suppose p = l*p - 12. What is u in -2/7*u**4 + 2/7*u**2 + 0*u + 0 - 2/7*u**5 + 2/7*u**p = 0?
-1, 0, 1
Let g(m) be the second derivative of -m + 2/3*m**3 + 3/2*m**2 + 1/4*m**4 + 1/30*m**5 + 0. Let y(i) be the first derivative of g(i). Let y(t) = 0. What is t?
-2, -1
Let i(u) be the first derivative of 2*u**3/33 + 3*u**2/11 + 4*u/11 + 23. Determine w so that i(w) = 0.
-2, -1
Let r(w) be the second derivative of w**8/3360 - w**7/420 + w**6/144 - w**5/120 - w**3/6 + 3*w. Let n(k) be the second derivative of r(k). Factor n(f).
f*(f - 2)*(f - 1)**2/2
Let y(v) be the third derivative of -v**7/1260 - v**6/240 - v**5/120 - v**4/144 - 6*v**2. Factor y(k).
-k*(k + 1)**3/6
Let t be 74/24 + 18/(-6). Let w(i) be the third derivative of 1/15*i**5 + 0*i + 1/60*i**6 + 2*i**2 + t*i**4 + 0 + 0*i**3. Factor w(n).
2*n*(n + 1)**2
Let l be 8 + (-9)/3 -