t m(y) = 0.
-8, 2
Let k(i) be the third derivative of 3*i**5/20 - 5*i**4/8 + i**3 - 24*i**2. Factor k(a).
3*(a - 1)*(3*a - 2)
Let l(s) = s**3 + 11*s**2 + 7*s - 27. Let q be l(-10). Let d(i) be the first derivative of i**4 - i - 2*i**3 - q + 2*i**2 - 1/5*i**5. Factor d(n).
-(n - 1)**4
Let x(f) be the second derivative of -f**7/126 - f**6/15 - 7*f**5/30 - 4*f**4/9 - f**3/2 - f**2/3 + 5*f. Factor x(d).
-(d + 1)**4*(d + 2)/3
Let a(i) be the third derivative of i**8/168 - 2*i**7/105 + i**5/15 - i**4/12 - 9*i**2. Factor a(c).
2*c*(c - 1)**3*(c + 1)
Let w(z) be the third derivative of 1/16*z**4 - 1/80*z**6 + 0*z + 0 + 3/40*z**5 + 4*z**2 - 1/2*z**3 - 1/140*z**7. Let w(r) = 0. What is r?
-2, -1, 1
Let w = 77 + -77. Factor 0*m - 5/2*m**4 + 4*m**3 + 1/2*m**5 + w - 2*m**2.
m**2*(m - 2)**2*(m - 1)/2
Let g(f) = -f**4 + f**3 + 3*f**2 + f. Let j(k) = -4*k**4 + 2*k**3 + 9*k**2 + 3*k. Let x(y) = -14*g(y) + 4*j(y). Solve x(r) = 0 for r.
-1, 0
Let l(p) = 5*p**2 - 2. Let x(h) = h**2 - h + 1. Let s(c) = l(c) + 2*x(c). Factor s(k).
k*(7*k - 2)
Suppose -6 = 3*c, 2*c + 2 + 7 = 5*w. Suppose w = -i + 4. Let 1/3*t**2 + 0 + 1/3*t**i + 0*t = 0. What is t?
-1, 0
Let p(t) be the third derivative of -t**6/60 - t**5/10 - t**4/6 + 8*t**2. Factor p(h).
-2*h*(h + 1)*(h + 2)
Suppose f = -4*d - 33 + 9, -f = -5*d - 21. Let p be (48/(-32))/(21/f). Factor 0*k + p*k**2 + 0.
2*k**2/7
Let f be (((-2)/(-3))/1)/(1/1). Let w(g) be the second derivative of 0 - 4*g - 1/12*g**4 - 2*g**2 - f*g**3. Factor w(j).
-(j + 2)**2
Let b = 6051/5 - 1210. Solve 4/5*t**3 - 4/5*t + b - 3/5*t**4 + 2/5*t**2 = 0.
-1, 1/3, 1
Suppose 9*r = 3*r + 12. What is g in 16 - 45 - 16*g + 13 + 4*g**3 + 4*g**r = 0?
-2, -1, 2
Let l(p) be the first derivative of -7*p**6/60 + 2*p**5/5 - p**4/4 - 2*p**3/3 - 7*p**2/2 - 2. Let t(m) be the second derivative of l(m). Factor t(y).
-2*(y - 1)**2*(7*y + 2)
Let z(w) = w**3 + w**2 + w. Let k(h) = -h**3 + 11*h**2 + 17*h + 9. Let p(d) = -k(d) - 4*z(d). Factor p(y).
-3*(y + 1)**2*(y + 3)
Suppose -4*t = -9*t + 80. Let b = 18 - t. Factor 0 + 0*i**3 + 0*i - 1/4*i**4 + 0*i**b + 1/4*i**5.
i**4*(i - 1)/4
Let m(w) be the second derivative of w**6/105 - w**5/70 - w**4/42 + w**3/21 - 20*w. Determine c, given that m(c) = 0.
-1, 0, 1
Suppose -425 = -2*k + 5*c, 0 = -2*k - k - 3*c + 585. Let i = -595/3 + k. Factor 2/3 - 2/3*p**2 - i*p**3 + 5/3*p.
-(p - 1)*(p + 1)*(5*p + 2)/3
Let k(a) = -a**2 - 1. Let d(u) = 18*u**3 + 78*u**2 + 56*u - 6. Let m(l) = 2*d(l) + 20*k(l). Factor m(n).
4*(n + 2)**2*(9*n - 2)
Let c(a) be the third derivative of a**6/200 - a**5/50 + a**4/40 - 12*a**2. Factor c(m).
3*m*(m - 1)**2/5
Suppose 5*b = -15, 4*c + 3*b - 16 + 5 = 0. Let k(h) be the second derivative of -1/9*h**2 - 1/90*h**c + 1/54*h**4 + 0 + 1/27*h**3 - h. Factor k(n).
-2*(n - 1)**2*(n + 1)/9
Let m be (-4)/2 + 1*2. Suppose -4*g - 8 = 4*v, m = 5*v - 4*g - 29 - 6. Solve -40*j**4 + 2*j + 30*j**v + 18*j**2 - 5*j**4 - 7*j**4 + 2*j**4 = 0.
-1/5, 0, 1
Suppose 2*k + 4 = 4*q - q, -q - 4 = -2*k. Factor -12 + 2*i**q - 2*i + 2*i**3 - 2*i**2 + 12.
2*i*(i - 1)*(i + 1)**2
Let z = -16 - -97/6. Suppose -1/3*m**3 + 1/3*m + 0*m**2 + z*m**4 - 1/6 = 0. What is m?
-1, 1
Let j(k) be the second derivative of -k**4/54 - 2*k**3/27 - k**2/9 - 9*k. Suppose j(h) = 0. What is h?
-1
Determine f, given that 4*f + 8 + 1/2*f**2 = 0.
-4
Let g = 13/108 + -1/108. Let k(f) be the second derivative of 2*f - 1/36*f**4 - 1/6*f**2 + 0 - g*f**3. Suppose k(y) = 0. Calculate y.
-1
Let v be (-5)/4*(-8 + 4). Let o(p) be the first derivative of 0*p + 2 + 1/6*p**2 - 1/9*p**3 + 1/15*p**v - 1/12*p**4. Find b such that o(b) = 0.
-1, 0, 1
Let o = 3 - 1. Let u = -3 + 7. Factor -2*l - 2*l**o + l**3 - l + u*l.
l*(l - 1)**2
Suppose -1/9*u - 1/9*u**5 + 4/9*u**2 + 0 + 4/9*u**4 - 2/3*u**3 = 0. Calculate u.
0, 1
Let n(t) = t**2 - 3*t - 2. Let g be n(4). Find k such that -2*k**2 - 2*k + 2*k + 4 + g*k = 0.
-1, 2
Let z(u) = u**2 + u + 1. Let w(y) = 3*y**2 + 6*y + 3. Let s = 1 + 0. Let p(k) = s*w(k) - 4*z(k). Factor p(g).
-(g - 1)**2
Suppose -1 - 14 = -5*o. Solve -2*l**4 + l - 4*l**2 - 2*l**4 + 0*l**2 + l**5 + 6*l**o = 0 for l.
0, 1
Let b(d) = -6*d**3 - 14*d**2 - 8*d + 2. Let u(k) = 7*k**3 + 15*k**2 + 8*k - 3. Let s(y) = 3*b(y) + 2*u(y). Factor s(i).
-4*i*(i + 1)*(i + 2)
Let g be 2/7 + 279*(-11)/(-1386). Factor 1/4 + 5/4*k + g*k**2 + 1/4*k**5 + 5/4*k**4 + 5/2*k**3.
(k + 1)**5/4
Let b(l) be the first derivative of -l**6/195 + l**5/130 - 2*l - 3. Let v(p) be the first derivative of b(p). Factor v(c).
-2*c**3*(c - 1)/13
Let n(a) be the first derivative of a**4/4 + a**3 - 2*a**2 - 5. Solve n(h) = 0.
-4, 0, 1
Let s(n) be the third derivative of n**6/40 + 3*n**5/20 - n**4/2 + 4*n**2. Factor s(k).
3*k*(k - 1)*(k + 4)
Let s be 28/16 - 1/(-4). Let i(k) be the third derivative of 0*k + 0*k**3 + 0*k**4 - 1/60*k**5 + 0 - 2*k**s + 1/120*k**6. Factor i(c).
c**2*(c - 1)
Let r(c) = -c**3 + 2*c**2 - 2*c + 1. Let d = 4 + -6. Let s(b) = -18*b + 6*b + b**2 + 11*b. Let u(n) = d*r(n) + 6*s(n). Factor u(t).
2*(t - 1)*(t + 1)**2
Suppose 5/3*i + 1/3*i**3 + 4/3*i**2 + 2/3 = 0. What is i?
-2, -1
Let z be 54/63*(-21)/(-24). Find f such that -3/4*f**3 + z*f - 3/4*f**2 + 0 + 3/4*f**4 = 0.
-1, 0, 1
Let j(o) be the second derivative of o**7/105 - o**6/25 + 3*o**5/50 - o**4/30 + 10*o. Find v such that j(v) = 0.
0, 1
Let b(p) be the second derivative of -p**8/1680 + p**7/210 - p**6/90 + p**4/3 - 9*p. Let m(q) be the third derivative of b(q). Solve m(w) = 0 for w.
0, 1, 2
Factor -16*u**2 + 9 + 7 - 6*u - 4*u**3 - 40 + 50*u.
-4*(u - 1)**2*(u + 6)
Let v(h) = 9*h**2 - 9*h - 12. Let f(r) = r**2 - r - 1. Let d(m) = -12*f(m) + v(m). Let c(z) = -3*z**2 + 2*z. Let o(u) = -3*c(u) + 2*d(u). Solve o(n) = 0.
0
Let u(j) be the third derivative of -1/240*j**5 + 0 + 1/24*j**3 + 4*j**2 + 0*j**4 + 0*j. Factor u(z).
-(z - 1)*(z + 1)/4
Let i(k) be the third derivative of 0*k - 2*k**2 - 2/3*k**3 + 0 + 3/56*k**8 + 1/15*k**6 + 4/21*k**7 - 3/5*k**5 - 13/12*k**4. Factor i(z).
2*(z - 1)*(z + 1)**3*(9*z + 2)
Let o(i) be the second derivative of -i**8/3360 - i**7/1260 - i**4/6 - i. Let m(r) be the third derivative of o(r). Factor m(a).
-2*a**2*(a + 1)
Let a be (11/(-4))/(10/8 + -2). Solve -1/3 + a*d + 14/3*d**3 + 35/3*d**4 - 34/3*d**2 - 25/3*d**5 = 0.
-1, 1/5, 1
Let n(u) = -8*u**4 + 389*u**3 - 6528*u**2 + 32357*u + 39304. Let b(w) = 2*w**4 - 97*w**3 + 1632*w**2 - 8089*w - 9826. Let q(y) = 22*b(y) + 6*n(y). Factor q(r).
-4*(r - 17)**3*(r + 1)
Suppose -27 = -4*a + 1. Suppose -a*q = -6*q - 2. Suppose 4/3*i**2 - 14/3*i + q*i**3 + 4/3 = 0. Calculate i.
-2, 1/3, 1
Factor -x**3 + 0 + 3/4*x + 1/4*x**5 + 1/2*x**2 - 1/2*x**4.
x*(x - 3)*(x - 1)*(x + 1)**2/4
Let u(b) = -b**2 - 6. Let y be u(0). Let k be 10/25 - y/(-15). What is o in -12/5*o**5 - 6/5*o**3 - 21/5*o**4 + 0 + k*o + 3/5*o**2 = 0?
-1, 0, 1/4
Let j(o) = -o**3 - 10*o**2 - 10*o - 7. Let i be j(-9). Let h = 2 + -2. Factor 0 + h*n + 2/5*n**3 - 2/5*n**i.
2*n**2*(n - 1)/5
Let x(c) = 7*c - 21. Let v be x(3). Let j(u) be the second derivative of v - 1/27*u**3 + 0*u**2 + 1/54*u**4 + 4*u. Find t, given that j(t) = 0.
0, 1
Suppose -8/13*m - 8/13 - 2/13*m**2 = 0. What is m?
-2
Let q be (8/12)/(12/21). Let i(k) be the first derivative of -3/4*k**4 + 2 + 5/3*k**3 + 1/3*k - q*k**2. Determine h, given that i(h) = 0.
1/3, 1
Let z(s) be the first derivative of s**8/8400 - s**7/4200 - 4*s**3/3 - 6. Let m(n) be the third derivative of z(n). Factor m(o).
o**3*(o - 1)/5
Let v(n) be the first derivative of n**4/4 - 23*n**3/21 + 10*n**2/7 - 4*n/7 + 4. What is i in v(i) = 0?
2/7, 1, 2
Suppose -2*g + 7*g + 30 = -4*i, 0 = g - 3*i + 25. Let u be 8/6*(-15)/g. Factor -u*c + 5*c + 6 + 6*c + 0*c + 3*c**2.
3*(c + 1)*(c + 2)
Let r be (-4)/22 - (-6)/33. Suppose 3*q - 3*h - 6 = r, -5*h + 2 = 2*q - q. Factor -2*f + 8*f - 2*f - q*f**2.
-2*f*(f - 2)
Let d(m) be the first derivative of m**4 - 4*m**3/3 - 3. Determine h, given that d(h) = 0.
0, 1
Suppose 2*d = -5*d. Let k(p) be the first derivative of 1/2*p**4 + 0*p**2 - 1 + 0*p + d*p**3. Factor k(n).
2*n**3
Let z be 12/(-20) + 26/10. Suppose v - 4*r - 2 = 2, r + 1 = 0. Factor 4/3*i - 10/3*i**3 + v - 2*i**z.
-2*i*(i + 1)*(5*i - 2)/3
Let z = 12 - 8. Let t(l) be the second derivative of -1/42*l**z + 0 + 0*l**2 + 0*l**3 - 2*l. What is h in t(h) = 0?
0
Let f(o) be the third derivative of 