**2 + 1/7*l + 8 - 1/28*l**4. Factor t(k).
-(k - 1)*(k + 1)**2/7
Let r = 4 + 0. Determine i so that i + 16*i**r + 30*i**4 + 4*i**4 + 48*i**2 + 90*i**3 + 7*i = 0.
-1, -2/5, 0
Let b(l) be the first derivative of -l**3/6 + l**2 - 3*l/2 + 4. Solve b(g) = 0 for g.
1, 3
Let y = 7/23 + 2/69. Factor -1/3*l**3 + 0 - 2/3*l**2 - y*l.
-l*(l + 1)**2/3
Determine q, given that -14*q**2 - 7*q**2 + 25*q**2 = 0.
0
Let z(q) be the first derivative of q**5/80 - q**3/8 - q**2/4 - 2*q - 2. Let y(f) be the first derivative of z(f). Solve y(c) = 0 for c.
-1, 2
Suppose -2*q + 5*u = -47, -q - 2*q + u = -64. Solve -17*v**3 + 28*v**3 - q*v**3 + 2*v + 8*v**5 = 0 for v.
-1, -1/2, 0, 1/2, 1
Let o(z) = 2*z + z - 3 - 4*z - 2. Let y be o(-7). Determine b, given that 1/2*b**y - 1/2*b**3 + 1/2*b - 1/2 = 0.
-1, 1
Let c(t) be the third derivative of t**7/735 - t**6/105 + t**5/42 - t**4/42 - 11*t**2. Factor c(k).
2*k*(k - 2)*(k - 1)**2/7
Let s = 1082 - 3218/3. Factor -s*k + 98/3*k**2 + 2/3.
2*(7*k - 1)**2/3
Let i(f) = f**3 - 12*f**2 + 11*f + 4. Let m be i(11). Let o = m + 0. Factor -2*t - t - 1 - 3*t - t**2 + o*t.
-(t + 1)**2
Suppose -5*d = 3*v + 12 + 43, 1 = -2*d + 3*v. Let x(b) = b**2 + 7*b - 4. Let g be x(d). Factor 1/3*y**g + 0*y + 0*y**2 + 0 - 1/3*y**3.
y**3*(y - 1)/3
Let o(d) be the third derivative of 0 + 5*d**2 + 0*d - 1/9*d**3 - 1/180*d**5 - 1/24*d**4. Let o(i) = 0. What is i?
-2, -1
Let z(t) be the first derivative of t**6/2 + 12*t**5/5 + 3*t**4 - 10. Let z(u) = 0. Calculate u.
-2, 0
Determine h so that -1 - h**2 + 5/2*h + 2*h**4 - 2*h**3 - 1/2*h**5 = 0.
-1, 1, 2
Let y(l) be the second derivative of -2*l**4/3 + 11*l**3/9 - 2*l**2/3 - 5*l. Determine k so that y(k) = 0.
1/4, 2/3
Let i(m) be the second derivative of -m**4/18 - m**3/3 - 2*m**2/3 - 39*m. Let i(s) = 0. What is s?
-2, -1
Let s(u) be the first derivative of u**6/36 - 7*u**5/120 + u**4/36 + 6*u - 9. Let r(z) be the first derivative of s(z). Factor r(y).
y**2*(y - 1)*(5*y - 2)/6
Let y = -41 + 124/3. Let t(d) be the third derivative of y*d**3 + 0 - 1/24*d**4 + 0*d - 1/60*d**5 - d**2. Factor t(h).
-(h - 1)*(h + 2)
Let d(g) be the third derivative of 25*g**8/1008 - g**7/6 + 13*g**6/45 + 2*g**5/9 - 2*g**4/3 - 8*g**3/9 + 19*g**2. Solve d(l) = 0 for l.
-2/5, 1, 2
Let x be -2 - ((-378)/20)/9. Let y(l) be the first derivative of -4/25*l**5 - 1/15*l**6 - x*l**4 + 0*l + 0*l**2 + 0*l**3 + 1. Determine k so that y(k) = 0.
-1, 0
Let l(m) be the third derivative of -m**5/510 + m**4/34 - 3*m**3/17 + 9*m**2. Solve l(b) = 0.
3
Let r(p) be the first derivative of -8*p**5/65 - p**4/26 + 8*p**3/39 + p**2/13 + 8. Solve r(x) = 0 for x.
-1, -1/4, 0, 1
Let t(a) = -a + 1. Let h(w) = -8*w**2 + 22*w - 12. Let p(g) = 9*g**2 - 23*g + 11. Let d(l) = -3*h(l) - 2*p(l). Let s(o) = 2*d(o) - 36*t(o). Factor s(z).
4*(z - 1)*(3*z + 2)
What is y in -38*y**3 + 21/2*y**4 + 83/2*y**2 + 2 - 16*y = 0?
2/7, 1/3, 1, 2
Let j = 179 - 536/3. Factor 1/3*s - j*s**3 - 1/3 + 1/3*s**2.
-(s - 1)**2*(s + 1)/3
Let -1/3*d + 4/9*d**2 - 1/9*d**3 + 0 = 0. Calculate d.
0, 1, 3
Let l(t) be the second derivative of -t**4/4 + t**3 - 3*t**2/2 - 5*t. Factor l(a).
-3*(a - 1)**2
Let z(q) be the first derivative of -2*q**5/5 - 5*q**4/2 - 6*q**3 - 7*q**2 - 4*q - 10. Factor z(u).
-2*(u + 1)**3*(u + 2)
Let w(h) be the second derivative of -h**5/10 - 5*h**4/3 - 17*h**3/3 - 8*h**2 + 16*h. Factor w(a).
-2*(a + 1)**2*(a + 8)
Let x(y) be the second derivative of y**9/52920 - y**8/23520 - y**7/8820 + y**6/2520 + y**4/6 - 3*y. Let q(s) be the third derivative of x(s). Factor q(j).
2*j*(j - 1)**2*(j + 1)/7
Let m(r) = r - 2. Let q be m(4). What is x in -7*x**3 + 4*x**2 - 9*x + q*x**5 + 15*x - x**3 - 4 = 0?
-2, -1, 1
Suppose -3 = 3*p - 0. Let x be (p/(-3))/(2/3). Factor -x*w**2 - 1/2 + w.
-(w - 1)**2/2
Let c(u) be the third derivative of -u**7/945 + u**6/270 - 6*u**2. Determine a so that c(a) = 0.
0, 2
Let g(c) = -11*c**3 + 20*c**2 - 13*c. Let b(f) = -12*f**3 + 21*f**2 - 14*f - 1. Let m(o) = 2*b(o) - 3*g(o). Factor m(x).
(x - 1)*(3*x - 2)*(3*x - 1)
Let j be 25/(-15) - 2/6. Let k be -3 + 10*j/(-4). Solve 6 - 2*h**k - 6 - 4*h = 0 for h.
-2, 0
Let a(j) be the third derivative of 3*j**6/40 - j**5/10 + 15*j**2. Suppose a(p) = 0. What is p?
0, 2/3
Let m = -2 - -4. Factor 5*s**2 - 2*s**m - s**3 + s + s**4 - 4*s**2 + 0*s**2.
s*(s - 1)**2*(s + 1)
Let c be ((-12)/27)/(16/(-72)). Factor -2/5*z**c + 2/5*z**3 - 2/5*z + 0 + 2/5*z**4.
2*z*(z - 1)*(z + 1)**2/5
Let x(n) = -n + 17. Let h be x(14). Suppose -1/2*u**4 + 0*u - u**h - 1/2*u**2 + 0 = 0. What is u?
-1, 0
Let h(w) = 4*w**5 + w**4 - 13*w**3 - 6*w**2 + 4*w - 5. Let r(q) = q**5 - q**4 - q**3 - q - 1. Let o(z) = 3*h(z) - 15*r(z). Solve o(y) = 0 for y.
-1, 0, 1, 3
Let l(z) = 59*z**3 + 163*z**2 - 13*z - 15. Let o(d) = 178*d**3 + 488*d**2 - 40*d - 46. Let m(f) = 10*l(f) - 3*o(f). Factor m(w).
2*(w + 3)*(4*w + 1)*(7*w - 2)
Let c(l) be the first derivative of -5*l**2 - 1 - l**3 - 4*l**3 + 4*l**3 + 2*l**2. Suppose c(b) = 0. What is b?
-2, 0
Suppose 5*f - q + 0*q - 66 = 0, 2*q = 3*f - 41. Factor -f - t**4 + 6 + 2*t**3 - 2*t + 7 + t**2.
-t*(t - 2)*(t - 1)*(t + 1)
Let t = 49 - 34. Let -20 - t*w**2 + 20 + 15*w**4 + 27*w**3 - 6*w - 21*w**5 = 0. What is w?
-1, -2/7, 0, 1
Let g(b) be the second derivative of -b**7/280 - b**6/120 + b**5/40 + b**4/12 + 4*b. Let p(f) be the third derivative of g(f). Factor p(t).
-3*(t + 1)*(3*t - 1)
Factor 24/11*o**2 + 0*o + 6/11*o**3 + 0.
6*o**2*(o + 4)/11
Let a(u) = 6*u**4 - 7*u**3 + 4*u**2 + 3*u - 3. Let t(p) = 12*p**4 - 13*p**3 + 8*p**2 + 7*p - 7. Let w(v) = -7*a(v) + 3*t(v). Factor w(d).
-2*d**2*(d - 1)*(3*d - 2)
Let l(a) be the first derivative of 0*a - 2 + 0*a**2 - 1/4*a**4 + 0*a**3. Let l(n) = 0. Calculate n.
0
Suppose 4*v = -z - 0*v - 18, v + 13 = 4*z. Factor 0*n - n**2 - 2*n + 0*n**z + 4*n.
-n*(n - 2)
Let i = -18 + 18. Let 33*p**3 + i*p**5 + 1 + p**2 - 3*p**4 + p**2 + 3*p - p**5 - 35*p**3 = 0. What is p?
-1, 1
Let i(p) be the third derivative of -p**6/280 + 3*p**5/140 - 5*p**2. Determine r, given that i(r) = 0.
0, 3
Determine q, given that 0 - 9/5*q**3 - 1/5*q**5 - 6/5*q**4 + 0*q**2 + 0*q = 0.
-3, 0
Let b(t) be the first derivative of t**4/60 + 2*t**3/15 + 2*t**2/5 - 6*t + 7. Let w(q) be the first derivative of b(q). Factor w(f).
(f + 2)**2/5
Let o(q) be the second derivative of -q**5/30 + q**4/12 + q**2/2 - q. Let d(p) be the first derivative of o(p). Let d(k) = 0. What is k?
0, 1
Let o(j) be the third derivative of -2*j**5/15 - 3*j**4/2 + 10*j**3/3 + 8*j**2. Determine m so that o(m) = 0.
-5, 1/2
Let j = -29 - -33. Suppose 0 = -j*t + 3*o + 17, o - 6*o = -5*t + 25. Suppose -1/4*n**t + 0 + 1/4*n = 0. Calculate n.
0, 1
Let t(h) = -4*h - 35. Let z be t(-10). Solve -4/5*i**4 + 0 + 0*i - 2/5*i**z - 2/5*i**3 + 0*i**2 = 0 for i.
-1, 0
Let v(k) = 5*k**3 - 5*k**2 - 10*k - 10. Let u(n) = 2*n**3 - 2*n**2 - 3*n - 3. Let x(p) = -10*u(p) + 3*v(p). What is d in x(d) = 0?
0, 1
Let c(l) = 5*l**3 - 15*l**2 + 26*l - 16. Suppose w + 1 + 1 = 0. Let u(k) = -k**3 + 3*k**2 - 5*k + 3. Let t(a) = w*c(a) - 11*u(a). Factor t(g).
(g - 1)**3
Let m be 1 + -2 + (0 - -1). Let v(j) be the second derivative of -1/18*j**4 + 1/45*j**6 - j + 0*j**2 + 0 + m*j**5 + 0*j**3. Factor v(b).
2*b**2*(b - 1)*(b + 1)/3
Let m(g) = -3*g**2 + 7*g - 4. Let f(c) = 4*c**2 - 8*c + 4. Let n(v) = -5*f(v) - 6*m(v). Find k such that n(k) = 0.
-2, 1
Let a(o) be the third derivative of 1/120*o**4 + 0*o + 0*o**3 - 1/75*o**5 + 0 - 6*o**2. Factor a(d).
-d*(4*d - 1)/5
Let l be ((-4)/(-6) + 0)/((-160)/(-96)). Let h(o) = -o**2 + 7*o - 4. Let p be h(6). Factor -l*w**p + 0 - 4/5*w.
-2*w*(w + 2)/5
Suppose 5*r + 5*c = -20, 5*c = 3*r + 6*c + 4. Find a such that -3/5*a**2 - 9/5*a + r = 0.
-3, 0
Let c(k) = k - 2. Let t be c(7). Let z(m) be the second derivative of 0*m**2 + 1/70*m**t + 0 - 1/42*m**4 + 1/105*m**6 - 1/147*m**7 - 2*m + 0*m**3. Factor z(p).
-2*p**2*(p - 1)**2*(p + 1)/7
Let o = 24 - 9. Let n be 6/o - 0/1. Factor 2/5*j**3 - 2/5*j + n - 2/5*j**2.
2*(j - 1)**2*(j + 1)/5
Let f = -4 - -4. Suppose f = 4*t - 4 - 4. What is s in -2*s + 4*s**3 + 6 + 2*s**5 - 4*s**5 - 4 + 2*s**4 - 4*s**t = 0?
-1, 1
Let v(y) be the first derivative of 2/5*y**2 - 6 - 1/5*y**4 - 2/5*y**3 + 6/25*y**5 + 0*y. Solve v(w) = 0 for w.
-1, 0, 2/3, 1
Let h(w) be the third derivative of -2*w**7/945 - w**6/90 + w**5/135 + w**4/18