*5 + 0*r**p + 0 + 0*r - r**2. Let f(c) = 0. What is c?
-1, 1
Let a = -173 - -520/3. Factor 0 - a*k**2 + 2/3*k.
-k*(k - 2)/3
Let p be (-2670)/(-10800) - 4/18. Let j(r) be the second derivative of 0 - p*r**5 + r - 5/12*r**3 - 1/2*r**2 - 1/6*r**4. Factor j(u).
-(u + 1)**2*(u + 2)/2
Let c(z) be the first derivative of -3/2*z**2 + 1/240*z**5 + 0*z + 0*z**4 - 1/24*z**3 + 1. Let k(l) be the second derivative of c(l). Solve k(j) = 0.
-1, 1
Let z(b) be the first derivative of b**6/12 - b**5/5 + b**3/3 - b**2/4 - 19. Suppose z(i) = 0. What is i?
-1, 0, 1
Let l be (12/21 - 0)/(24/84). Find a, given that -9/5*a**l + 7/5*a + a**3 - 2/5 - 1/5*a**4 = 0.
1, 2
Let a(n) = -4*n**2 - 1. Let q(h) = -10*h**2 - 2. Suppose -3*i + 4*r + 40 = 0, -2*i + 6*r - 2*r + 28 = 0. Let j(f) = i*a(f) - 5*q(f). Factor j(v).
2*(v - 1)*(v + 1)
Let g(a) = -a**3 - 33*a**2. Let h be g(-33). Factor h + 1/3*i**2 - 1/3*i**3 + 0*i.
-i**2*(i - 1)/3
Let u(l) be the first derivative of l**3/9 - l**2/6 - 2*l/3 + 7. Suppose u(w) = 0. Calculate w.
-1, 2
Let t(s) be the second derivative of 0 - 3/20*s**5 + 1/6*s**4 + 1/42*s**7 + 0*s**3 + 0*s**6 + 0*s**2 + 6*s. Determine q, given that t(q) = 0.
-2, 0, 1
Suppose -2/9*o**2 - 8/9*o + 10/9 = 0. What is o?
-5, 1
Suppose 5*o = 5*b + 10, -o + 1 - 8 = 2*b. Let c be -1*b/(-6)*0. Suppose 0*l + 0*l**2 - 4/7*l**4 + 2/7*l**3 + 2/7*l**5 + c = 0. Calculate l.
0, 1
Factor 0 + 0*u**2 + 1/5*u**3 - 4/5*u.
u*(u - 2)*(u + 2)/5
Let c(w) be the first derivative of 25/6*w**4 - 8/3*w - 10*w**3 + 8*w**2 - 6. Find z, given that c(z) = 0.
2/5, 1
Let u(q) be the first derivative of q**5/6 + 17*q**4/24 + q**3/3 - 5*q**2/3 - 4*q/3 + 9. Factor u(p).
(p - 1)*(p + 2)**2*(5*p + 2)/6
Suppose -9*m**2 + 8 + 13*m**3 - 10*m**3 + 4 = 0. What is m?
-1, 2
Suppose 0 = 3*d + 3*f - 4 + 1, 8 = 5*d + 2*f. Factor 12 + 3*x**d - x**2 + 6*x**2 - 5*x**2 + 12*x.
3*(x + 2)**2
Factor -2/7*j**2 + 2/7 - 2/7*j + 2/7*j**3.
2*(j - 1)**2*(j + 1)/7
Let r(n) = -1 - 70*n**2 - 52*n**4 + 106*n**3 - 1 + 16*n + 0. Let p(d) = 155*d**4 - 317*d**3 + 209*d**2 - 48*d + 7. Let h(k) = -4*p(k) - 14*r(k). Factor h(m).
4*m*(3*m - 2)**3
Let c = 3 + 0. Factor -3*x**2 - 2*x**c + 13*x**2 - x - 5*x + 8 - 26.
-2*(x - 3)**2*(x + 1)
Solve 0 + 3/5*w**2 - 6/5*w = 0 for w.
0, 2
Let 9*v**3 + 2*v**3 - 9*v**3 + 6*v**2 = 0. What is v?
-3, 0
Let o(q) be the first derivative of 2*q - 1/2*q**2 - 4 - 1/3*q**3. Factor o(n).
-(n - 1)*(n + 2)
Let t(f) = 2*f**2 + 7*f + 13. Let b(y) = -6*y**2 - y - 1. Let z be b(-1). Let l(i) = i**2 + 4*i + 7. Let r(w) = z*t(w) + 11*l(w). Let r(m) = 0. Calculate m.
1
Let a(q) = 3*q**2 + 5*q + 2. Let k be a(-4). Solve k*d**2 - 11*d**5 + 29*d**5 + 5*d + 64*d**3 + 58*d**4 - d + 2*d**3 = 0 for d.
-1, -2/9, 0
Let d(r) be the first derivative of 0*r - 2 + 2/3*r**3 - r**4 - 2/5*r**5 + 2*r**2. Solve d(z) = 0.
-2, -1, 0, 1
Factor 1/4*p**4 + 5/4*p - 5/4*p**3 - 1 + 3/4*p**2.
(p - 4)*(p - 1)**2*(p + 1)/4
Let l be (2 + 219/(-108))*-3. Let q(x) be the first derivative of 0*x**3 - l*x**4 + 1 + 0*x**2 - 1/15*x**5 + 0*x. Factor q(u).
-u**3*(u + 1)/3
Suppose -i + 3*x - 2 = 0, 0 = 3*i - 5*x + 2*x - 6. Let -2/7*o**i + 6/7*o**5 + 6/7*o + 4/7*o**2 - 12/7*o**3 - 2/7 = 0. Calculate o.
-1, 1/3, 1
Let x(c) be the third derivative of 0 + 1/120*c**6 + 0*c + 6*c**2 - 1/24*c**4 + 1/6*c**3 - 1/60*c**5. Factor x(t).
(t - 1)**2*(t + 1)
Let d = -14 + 143/10. Let n(t) be the second derivative of 0*t**3 - 1/3*t**6 + 1/3*t**4 + 0 + 0*t**2 + t - d*t**5. Factor n(c).
-2*c**2*(c + 1)*(5*c - 2)
Let x = -78 + 238/3. Let k(r) be the third derivative of x*r**5 + 2/3*r**3 - 2*r**2 + 1/24*r**8 + 5/4*r**4 + 0*r + 2/7*r**7 + 0 + 5/6*r**6. Factor k(f).
2*(f + 1)**4*(7*f + 2)
Let m(n) be the second derivative of n**4/18 - n**3/6 + n**2/6 + 30*n. Solve m(j) = 0.
1/2, 1
Let f(r) be the third derivative of 0*r + 0 + 4*r**2 - 2/15*r**4 + 16/15*r**3 + 1/150*r**5. Factor f(v).
2*(v - 4)**2/5
Suppose 0 = 4*q + 5*u - 9, -6*q - 3*u + 15 = -2*q. Suppose h - 4*r = -8*r - 2, -2*h = -2*r - q. Factor 2*c**h - 4 + 4 + 1 - 3.
2*(c - 1)*(c + 1)
Let c(m) be the second derivative of -3*m**5/140 - m**4/28 + m**3/7 - 2*m. Determine n so that c(n) = 0.
-2, 0, 1
Let r be (-8)/36 + 4/99. Let y = 49/33 - r. Factor 0 - y*w**2 - 2/3*w.
-w*(5*w + 2)/3
Let z be (2/1 - 3) + 4. Let o(f) be the first derivative of 0*f**2 - 2/27*f**z + 0*f - 1/18*f**4 + 2/45*f**5 + 1 + 1/27*f**6. Let o(j) = 0. What is j?
-1, 0, 1
Let v(z) = -z**5 + z**4 - z**2 + z + 1. Let c(s) = 41*s**5 + 19*s**4 - 70*s**3 - 14*s**2 + 29*s - 1. Let o(x) = -c(x) + 4*v(x). Solve o(m) = 0 for m.
-1, 1/3, 1
Let y(a) = a - 7. Let z be y(9). Suppose 4*f = -j + 3*j + 8, -2*f = -z*j. Factor 2 - 4*i**3 - 2 + i**f + 1 + 7*i**2 - i**2 - 4*i.
(i - 1)**4
Let z(w) be the third derivative of 0*w + 9*w**2 + 7/75*w**5 + 0 + 4/15*w**3 + 3/10*w**4. Solve z(l) = 0.
-1, -2/7
Let x(w) be the first derivative of 0*w**3 - 1/3*w**2 - 1/15*w**5 + 1/6*w**4 - 3 + 1/3*w. Factor x(j).
-(j - 1)**3*(j + 1)/3
Let v(p) be the second derivative of 7*p + 1/40*p**5 + 0*p**3 + 0*p**4 + 0*p**2 + 1/120*p**6 + 0. What is c in v(c) = 0?
-2, 0
Let h(j) be the second derivative of j**8/8400 + j**7/2520 + j**6/3600 + j**4/4 - j. Let v(r) be the third derivative of h(r). Factor v(q).
q*(q + 1)*(4*q + 1)/5
Let y(v) be the third derivative of -v**6/180 - 2*v**5/15 - v**4 + 24*v**2. Find q, given that y(q) = 0.
-6, 0
Let p(o) = -3*o - 3. Let d be p(-1). Let q(y) be the second derivative of -2*y**5 + d - y**2 - 4/21*y**7 + y**6 - 2*y + 0*y**3 + 5/3*y**4. Factor q(t).
-2*(t - 1)**4*(4*t + 1)
Suppose -3*k - 2*p + 3 = -9, 4*p + 8 = 2*k. Factor 3*z**4 - 2*z**4 + 4*z - 4*z**2 + z**k - 3*z**3 + z**5.
z*(z - 1)**2*(z + 2)**2
Let u(k) be the first derivative of 0*k**3 - 3/5*k**5 - 3*k**2 + 3*k + 3/2*k**4 + 1. Factor u(y).
-3*(y - 1)**3*(y + 1)
Let x(y) be the third derivative of -y**7/525 + 10*y**2. What is n in x(n) = 0?
0
Let k(r) = -r**3 - 10*r**2 + r + 10. Let j be k(-10). Suppose 3*h + j*h - 6 = 0. Let 0 + 4/3*m**3 + 2/3*m**h + 0*m + 2/3*m**4 = 0. Calculate m.
-1, 0
Let i be (-6)/(-15) - 8/(-5). Factor 3*m - 2*m - m**i + 0*m - 3*m.
-m*(m + 2)
Let k(v) be the second derivative of 3*v**5/160 + v**4/8 + 5*v**3/16 + 3*v**2/8 + v. Factor k(y).
3*(y + 1)**2*(y + 2)/8
Let x = -4 - -6. Let u be (x/4)/((-5)/(-30)). Determine q, given that 0*q**3 - 3*q**3 - 2*q + q**u - 4*q**2 = 0.
-1, 0
Let s(v) be the third derivative of 49/600*v**6 + 0*v + 2*v**2 - 13/30*v**4 + 7/30*v**5 + 4/15*v**3 + 0. Factor s(b).
(b + 2)*(7*b - 2)**2/5
Let t(n) = 9*n**2 + 19. Let o(k) = 5*k**2 + 10. Let y(x) = -11*o(x) + 6*t(x). Find h, given that y(h) = 0.
-2, 2
Let a(y) = y**3 - 4*y**2 + y - 3. Let c be a(4). Let n(p) = -17*p**3 + 3*p - 1. Let f(v) = -v**3 - v + 1. Let l(x) = c*f(x) + n(x). Factor l(h).
-2*h*(3*h - 1)*(3*h + 1)
Factor 7/4*y + 2*y**3 + 1/4 + 7/2*y**2.
(y + 1)*(2*y + 1)*(4*y + 1)/4
Suppose -i - 4*z = -17, 73 = 3*i - z + 2*z. Let b = i - 49/2. Factor -b*r**5 + 0*r**2 + r**4 - 1/2*r**3 + 0 + 0*r.
-r**3*(r - 1)**2/2
Let z(a) be the first derivative of -8*a - 5 + 9*a**4 + 2*a**5 + 0*a**2 + 34/3*a**3. Determine t, given that z(t) = 0.
-2, -1, 2/5
Let n(b) be the second derivative of -1/24*b**6 - 1/6*b**3 + b + 1/40*b**5 + 1/84*b**7 + 0 + 1/8*b**2 + 1/12*b**4. Solve n(t) = 0 for t.
-1, 1/2, 1
Let r(o) be the first derivative of -2*o**5/5 + o**4 + 2*o**3 - 16. Let r(k) = 0. Calculate k.
-1, 0, 3
Factor -7/6*t**4 + 0 + 0*t**2 + 1/3*t**3 + 0*t + 5/6*t**5.
t**3*(t - 1)*(5*t - 2)/6
Solve 4*k**4 + 67*k**2 - 4*k**3 - 63*k**2 + 12*k**3 = 0 for k.
-1, 0
Factor 5*h**2 + 4*h - 8*h**2 + h**2 + 3*h**2.
h*(h + 4)
Determine l, given that -2/5*l**2 - 1/5*l**3 + 0 - 1/5*l = 0.
-1, 0
Let x(q) be the second derivative of 1/60*q**4 + 0 + 1/100*q**5 + 0*q**3 + 0*q**2 + 6*q. Factor x(c).
c**2*(c + 1)/5
Let j(c) be the third derivative of 1/300*c**6 + 0*c**5 + 0*c + 2*c**2 - 1/120*c**4 + 0 + 0*c**3 - 1/1680*c**8 + 0*c**7. Determine n so that j(n) = 0.
-1, 0, 1
Let a(m) be the first derivative of m**5/240 + m**4/96 - m**3/12 - 3*m**2/2 + 1. Let w(x) be the second derivative of a(x). Factor w(c).
(c - 1)*(c + 2)/4
Let f(j) be the second derivative of -j**7/147 + j**5/35 - j**3/21 - 10*j. Factor f(k).
-2*k*(k - 1)**2*(k + 1)**2/7
Let i(s) be the second derivative of 0 - 5*s + 1/30*s**3 + 0*s**2 + 1/60*s**4. Factor i(h).
h*(h +