se -q**2 + 3*q**2 - 16*q - 5*q**2 - 16 - q**2 = 0. Calculate q.
-2
Determine z, given that 2*z**2 - 2/3*z**4 - 10/3*z + 2/3*z**3 + 4/3 = 0.
-2, 1
Suppose -4*m - 48 + 140 = 0. Let r = -45/2 + m. Factor -1/2*s**3 + r*s**2 + 0 + s.
-s*(s - 2)*(s + 1)/2
Suppose 30*i = 17*i + 39. Factor -3/4*u**2 + 1/4*u**i + 0 + 1/2*u.
u*(u - 2)*(u - 1)/4
Let r be (2/(-6))/(27/(-6)). Let j(h) be the first derivative of r*h**3 + 2 - 2/9*h**2 + 2/9*h. Factor j(p).
2*(p - 1)**2/9
Let t = 9 + -4. Factor 4*r**2 - 3*r**4 + 2*r**5 - 6*r**3 + r**t - r + 4*r - 3 + 2*r**2.
3*(r - 1)**3*(r + 1)**2
Let k(l) = -l**2 + l. Let f(i) = -i**3 + 2*i**2 + 1. Let y(a) = -f(a) - 5*k(a). Let o be y(-4). What is t in 2*t**5 - 2*t**2 + 2*t**o + 2*t**2 + 4*t**4 = 0?
-1, 0
Let o(g) = -15*g**3 - 27*g**2 - 12*g + 18. Let y(s) = -s**3 - s**2 - s + 1. Let k(m) = o(m) - 18*y(m). Factor k(c).
3*c*(c - 2)*(c - 1)
Suppose 0*s**2 + 4/9*s**4 - 4/3*s**3 + 0*s + 0 = 0. Calculate s.
0, 3
Let p(g) = g**2 - g. Let w(f) = 5*f**2 - 13*f - 8. Let k(o) = 6*p(o) - w(o). Let s be k(-6). Factor -1 - 6 - 1 + 2*r**4 - 2*r**5 + 10*r**3 - s*r**2 - 16*r.
-2*(r - 2)**2*(r + 1)**3
Factor -3/8*c**4 + 1/8 - 1/4*c**3 + 1/4*c**2 + 3/8*c - 1/8*c**5.
-(c - 1)*(c + 1)**4/8
Let r(u) = -9*u**2 + 5*u - 9. Let x(t) = 4*t**2 - 2*t + 4. Let c(m) = -6*r(m) - 13*x(m). Factor c(y).
2*(y - 1)**2
Factor 22*w**2 + 8*w - 4*w**3 - 11*w**2 - 7*w**2.
-4*w*(w - 2)*(w + 1)
Let k be (-15)/6*(-6)/15. Factor 2 + 2*l**2 - 3 + k.
2*l**2
Let n(w) = -2*w - 1. Let p be n(-2). Suppose -j - 4*r - 3 - 7 = 0, 0 = -p*j - 2*r. Factor 0 + 0*o + 2/7*o**3 + 2/7*o**j.
2*o**2*(o + 1)/7
Factor 0 + 2/7*m**3 + 0*m - 6/7*m**2.
2*m**2*(m - 3)/7
Let t(h) be the first derivative of 4*h**5/25 + 13*h**4/20 + h**3 + 7*h**2/10 + h/5 - 2. Let t(i) = 0. What is i?
-1, -1/4
Let z(p) be the first derivative of 1029/4*p**6 - 735/2*p**5 + 1 + 819/4*p**4 - 54*p**3 + 6*p**2 + 0*p. What is n in z(n) = 0?
0, 2/7, 1/3
Let f(a) = 6*a**2 - 18*a + 21. Let v(p) = 7*p**2 - 18*p + 20. Let i(x) = -4*f(x) + 3*v(x). Factor i(g).
-3*(g - 4)*(g - 2)
Let v(w) = -2*w - 4. Let y(x) = x**2 + 3*x + 5. Suppose -3*p = -0*p - 9. Let z(m) = p*v(m) + 2*y(m). Find h such that z(h) = 0.
-1, 1
Factor -8*o**2 - 12*o**2 - 7*o**2 + 25*o**2 - 2*o**3.
-2*o**2*(o + 1)
Let d(b) be the second derivative of -b**9/3024 + b**7/280 + b**6/180 + b**3/3 + 2*b. Let p(l) be the second derivative of d(l). Determine w so that p(w) = 0.
-1, 0, 2
Let b(i) be the third derivative of -i**8/5040 - i**7/504 - i**6/180 - i**5/12 - 3*i**2. Let t(p) be the third derivative of b(p). Solve t(g) = 0 for g.
-2, -1/2
What is k in 6*k**4 - 10*k**4 - 8 - 32*k - 47*k**3 - 50*k**2 - 10*k**4 + 9*k**3 - 2*k**5 = 0?
-2, -1
Let o(w) be the third derivative of 3*w**8/784 + w**7/98 - w**6/140 - 3*w**5/70 - w**4/56 + w**3/14 - 15*w**2. Find b, given that o(b) = 0.
-1, 1/3, 1
Factor 12*a**2 + 46*a**3 + 0 + 12*a + 0 - 43*a**3.
3*a*(a + 2)**2
Let v(u) = -6*u**4 - 3*u**3 - 3*u**2 - 3*u. Let o(m) = -7*m**4 - 3*m**3 - 4*m**2 - 4*m. Let s(l) = -3*o(l) + 4*v(l). Determine k, given that s(k) = 0.
-1, 0
Suppose 0 = 3*c + 21 - 30. Let m(n) be the first derivative of 2/9*n**c - 2 + 2/3*n + 2/3*n**2. Let m(j) = 0. Calculate j.
-1
Factor -24*w**2 + 21*w**3 - 15*w**4 + 49*w**2 - 31*w**2.
-3*w**2*(w - 1)*(5*w - 2)
Let b = 58 - 55. Factor 0 + 0*p**2 + 0*p - 1/3*p**b.
-p**3/3
Let y be (-4)/(-2) + 24 + -23. Let x(o) be the third derivative of 0 + 1/30*o**5 - 1/40*o**6 + y*o**2 - 1/72*o**4 + 0*o + 0*o**3. Find d, given that x(d) = 0.
0, 1/3
Determine c so that -12*c - 4 - 7*c**2 - 8*c**3 + c**3 + 5*c**3 - 2*c**2 = 0.
-2, -1/2
Let x be ((-944)/2124)/((-2)/(-12)*-1). Solve x - 3*v**3 + 20/3*v + 2*v**2 = 0 for v.
-2/3, 2
Let k be -1 + (2 - -3) + 2. Suppose -k*h + h = 0. Solve -q**2 + h*q + 0*q + 2*q**2 = 0 for q.
0
Suppose -24*r - r**2 + 5*r**3 - r**3 - 3*r**2 = 0. What is r?
-2, 0, 3
Let x(w) be the first derivative of w**4/16 - 3*w**2/8 + 3*w + 4. Let r(s) be the first derivative of x(s). Factor r(c).
3*(c - 1)*(c + 1)/4
Determine m, given that 2*m**3 - 5*m**2 + 3*m**3 - 10 - 5*m + 9*m**2 + 6*m**2 = 0.
-2, -1, 1
Let d = 2 - 0. Let m = 6 - 3. Factor 0*i**d + 0 + 0*i + 0*i**m - 1/2*i**4.
-i**4/2
Suppose 0 = -5*v - 3*a - 0*a - 4, -5*v - 5*a = 10. Suppose 2 = p - v. Find k such that -3*k - k**3 - p*k + 5*k + 2*k**3 = 0.
-1, 0, 1
Suppose 0 = 3*t - 4*j - 7, -t - 4*j + 5 = -8*j. Suppose k + t = 4. Factor -6*d**k + 3*d**3 + 2*d**3 + d**2.
-d**2*(d - 1)
Let f be (-9)/(-1*(-1)/(-1)). Suppose -4*z - 10 = -f*z. Factor z*u**2 - 3*u**2 - u + 0*u.
-u*(u + 1)
Let f(v) be the second derivative of v**5/10 - v**4/3 - v**3/3 + 2*v**2 + 2*v. Determine s so that f(s) = 0.
-1, 1, 2
Let r(z) = z**2 + 8*z - 7. Let l be r(-9). Let f(t) be the first derivative of -l*t**3 - 3 - 1/5*t**5 - 2*t**2 - t - t**4. Find o, given that f(o) = 0.
-1
Factor -3/4*z**4 + 0 - 1/4*z + 3/4*z**2 + 1/4*z**3.
-z*(z - 1)*(z + 1)*(3*z - 1)/4
Let i(m) be the second derivative of m**7/357 + 4*m**6/255 - m**5/170 - 2*m**4/51 - 20*m. Suppose i(y) = 0. Calculate y.
-4, -1, 0, 1
Let m(j) = 47*j**4 + 53*j**3 - 15*j**2 - 15*j + 6. Let y(t) = 24*t**4 + 27*t**3 - 7*t**2 - 7*t + 3. Let u(f) = 4*m(f) - 7*y(f). Factor u(i).
(i + 1)**2*(4*i - 1)*(5*i - 3)
Let y(b) = -3 - 8*b + 5 + 4*b. Let x(r) = r**2. Let m(a) = -2*x(a) - y(a). Factor m(h).
-2*(h - 1)**2
Let p(l) be the first derivative of 0*l + 4/15*l**6 - 9/10*l**4 - 4/15*l**3 - 1 + 0*l**2 - 6/25*l**5. Determine i, given that p(i) = 0.
-1, -1/4, 0, 2
Factor 1/3*b + 1/6 + 1/6*b**2.
(b + 1)**2/6
Let l(r) be the third derivative of r**5/15 - 2*r**4/3 - 3*r**2 - 1. Factor l(q).
4*q*(q - 4)
Let h(u) be the first derivative of -u**6/5 - 4*u**5/25 + 6. Factor h(m).
-2*m**4*(3*m + 2)/5
Factor -2/3*d + 0 + 0*d**4 - 2/3*d**5 + 4/3*d**3 + 0*d**2.
-2*d*(d - 1)**2*(d + 1)**2/3
Factor 23*m**2 + 10*m - 5*m**3 - 23*m**2 - 5*m.
-5*m*(m - 1)*(m + 1)
Let m(o) = 12*o**4 + 18*o**3 - 10*o**2 - 16*o - 6. Let a(y) = -23*y**4 - 36*y**3 + 20*y**2 + 31*y + 13. Let i(j) = -2*a(j) - 5*m(j). What is t in i(t) = 0?
-1, -2/7, 1
Let c be (-4)/(-8)*4/(-278). Let z = c + 841/973. Factor -4/7 - z*x - 2/7*x**2.
-2*(x + 1)*(x + 2)/7
Let v be (-7)/18*(-8)/154. Let o = v - -386/495. Factor 2/5 + o*u**2 - 6/5*u - 6/5*u**4 + 2/5*u**5 + 4/5*u**3.
2*(u - 1)**4*(u + 1)/5
Let g(c) be the third derivative of -c**5/150 - c**4/15 - 4*c**3/15 + 2*c**2. Determine q so that g(q) = 0.
-2
Let x(c) be the first derivative of -36*c**5/5 + 3*c**4 + 32*c**3/3 - 8*c**2 + 13. Factor x(w).
-4*w*(w + 1)*(3*w - 2)**2
Suppose 0 = -x + 4*m - 104, 0 = 5*x - 5*m + 153 + 352. Let y be 2 + 9/(495/x). Suppose 0*c - 4/11*c**2 + 2/11 + y*c**4 + 0*c**3 = 0. What is c?
-1, 1
Let o(q) be the third derivative of q**5/270 - q**4/108 - 2*q**3/27 + 9*q**2. Factor o(s).
2*(s - 2)*(s + 1)/9
Let a(s) be the first derivative of -1/6*s**6 + 0*s + 0*s**2 - 1/5*s**5 - 6 + 1/3*s**3 + 1/4*s**4. What is m in a(m) = 0?
-1, 0, 1
Let j = 1254/5 + -250. Suppose -4*y + 3*m + 14 = 0, -10 = 4*y + 3*m - 36. Solve 56/5*z**y + j*z + 22/5*z**2 - 82/5*z**4 + 0 + 0*z**3 = 0 for z.
-2/7, -1/4, 0, 1
Let j = -47 + 95/2. Suppose 0*w + j*w**2 - 3/4*w**3 + 0 + 1/4*w**4 = 0. Calculate w.
0, 1, 2
Let s(p) be the second derivative of 1/6*p**4 - p + 0 + 0*p**2 - 2/3*p**3. Factor s(a).
2*a*(a - 2)
Find j, given that 6/5*j + 0 + 3/5*j**5 + 27/5*j**3 + 3*j**4 + 21/5*j**2 = 0.
-2, -1, 0
Let v(z) be the second derivative of -z**8/13440 - z**7/7560 + z**4/4 + 3*z. Let d(n) be the third derivative of v(n). Factor d(c).
-c**2*(3*c + 2)/6
Let r(z) be the first derivative of -z**9/12096 - z**8/2240 - z**7/1680 + 4*z**3/3 - 9. Let g(j) be the third derivative of r(j). Find l such that g(l) = 0.
-2, -1, 0
Determine g, given that 4*g**3 - 4*g**3 + 13*g**5 - 4*g**3 + 7*g**5 + 2*g**4 = 0.
-1/2, 0, 2/5
Let c = -1480/3 - -504. Factor -2/3*q**2 - c - 16/3*q.
-2*(q + 4)**2/3
Let 0 - 27/2*a**4 - 3*a - 18*a**3 + 33/2*a**2 = 0. Calculate a.
-2, 0, 1/3
Let h(j) = j**2 + 4*j + 3. Let x(k) = k**2 + 5*k + 4. Let v(n) = 6*h(n) - 5*x(n). Let v(q) = 0. Calculate q.
-1, 2
Let a(j) be the first derivative of 2*j**5/15 - j**4/3 - 14*j**3/9 - 4*j**2/3 - 5. Solve a(b) = 0.
-1, 0, 4
Let i(q) be the first derivative of -q**3/5 + 3*q/5 + 11. Factor i(a).
-3*(a - 1)*(a + 1)/5
Let b(d) be the third derivative of 0 + 1/100*