- 13*i**y - 23*i**4 + 4*i**5 = 0.
0, 2/7, 1
Suppose 4*b = 3*u - 44, 6*b + 25 = b. Let l be (-6)/u*(-10)/15. Let -1/2*n**4 - l + n**3 + n**2 - 1/2*n**5 - 1/2*n = 0. Calculate n.
-1, 1
Let c = 109/1020 - 5/68. Let v(l) be the first derivative of c*l**6 + 0*l**3 + 0*l + 2 + 0*l**2 - 2/25*l**5 + 1/20*l**4. Factor v(z).
z**3*(z - 1)**2/5
Let u(q) = q**3 + 4*q**2 + 4*q + 2. Let y be (-6)/4*(-4)/(-3). Let x be u(y). Factor 1/2*v**x + v + 0.
v*(v + 2)/2
Let z(n) be the second derivative of -n**8/23520 + n**6/2520 + n**4/3 + 2*n. Let x(g) be the third derivative of z(g). Factor x(o).
-2*o*(o - 1)*(o + 1)/7
Suppose -10 = 2*k - 7*k. Let o(t) be the first derivative of 0*t**2 + 2/3*t**3 + 1 - k*t. Factor o(d).
2*(d - 1)*(d + 1)
Suppose 2*p + 124 = 128. Suppose 0 + 2/3*t**3 + 0*t + 0*t**p = 0. What is t?
0
Let v(r) = 10*r**4 - 7*r**3 + r**2 - 4. Let s(y) = 3*y**4 - 2*y**3 - 1. Suppose 2*u - 5*u = 42. Let n(m) = u*s(m) + 4*v(m). Factor n(d).
-2*(d - 1)**2*(d + 1)**2
Let q(z) be the first derivative of -z**3/6 + z**2/4 + 1. Solve q(l) = 0 for l.
0, 1
Factor 2/7*i**3 + 0*i + 0*i**2 + 0.
2*i**3/7
Let d be -2 - (-2 + (-2)/7). Factor 2/7*v - d - 2/7*v**3 + 2/7*v**2.
-2*(v - 1)**2*(v + 1)/7
Let m(g) be the second derivative of 2*g + 0 - 1/480*g**6 - 1/6*g**3 + 1/120*g**5 - 1/96*g**4 + 0*g**2. Let j(y) be the second derivative of m(y). Factor j(u).
-(u - 1)*(3*u - 1)/4
Let x(q) be the second derivative of -9*q**6/40 + 9*q**5/40 + q**4/4 - q**3/3 - 10*q. What is m in x(m) = 0?
-2/3, 0, 2/3
Let u(f) be the third derivative of -f**5/20 + f**4/4 + f**2. Factor u(d).
-3*d*(d - 2)
Let s(m) be the first derivative of -3/2*m**2 + 4*m + 1 + 5/3*m**3. Let c(u) = -4*u**2 + 2*u - 3. Let k(j) = -4*c(j) - 3*s(j). Let k(o) = 0. What is o?
-1, 0
Let h(u) be the first derivative of -u**4/10 + 8*u**3/15 - u**2 + 4*u/5 - 17. Factor h(r).
-2*(r - 2)*(r - 1)**2/5
Let z be 2728/(-33) - (-2 + -1). Let g = -79 - z. Solve 0 + 2/3*h**2 - g*h = 0 for h.
0, 1
Let q = 254/771 - -1/257. Solve q*n**2 - 1/3*n + 0 = 0.
0, 1
Let f(n) be the second derivative of -n**5/90 + n**4/108 + 2*n**3/27 + 2*n**2 - n. Let j(i) be the first derivative of f(i). Factor j(m).
-2*(m - 1)*(3*m + 2)/9
Let f(b) be the second derivative of 0*b**3 + 1/18*b**4 + 2*b + 1/30*b**5 + 0 + 0*b**2. What is s in f(s) = 0?
-1, 0
Let o(h) be the first derivative of -h**3/3 - 3*h**2 - 3. Let f be o(-6). Factor 0*r + 0 + 2/5*r**4 - 1/5*r**5 - 1/5*r**3 + f*r**2.
-r**3*(r - 1)**2/5
Let i be 2/6 + 22/6. Let x be 3/15*(2 - 1). Factor x*p**3 + 1/5*p**i + 0*p + 0*p**2 + 0.
p**3*(p + 1)/5
Let d be 96/45 - 10/75. Let o = -300 - -910/3. Find y such that 8/3*y**d + 2/3*y**3 + o*y + 4/3 = 0.
-2, -1
Let d = -368 + 373. Solve 0 - 4/7*o**2 + 2/7*o**d + 0*o**4 - 6/7*o**3 + 0*o = 0.
-1, 0, 2
Let f(v) be the third derivative of v**5/240 + v**4/48 + 7*v**2. Factor f(s).
s*(s + 2)/4
Let j be (4/3)/((-2)/(-3)). Let o be (-5)/6*(-45)/50. Factor -o*x - 1/2 - 1/4*x**j.
-(x + 1)*(x + 2)/4
Let p = 0 + 4. Let r = p - 0. What is t in t**r + 0*t**2 + 1/3*t**3 + 0*t + 0 = 0?
-1/3, 0
Factor -4 - 3*m**4 - 6*m + m**3 + 1 + 5*m**3 + 6.
-3*(m - 1)**3*(m + 1)
Let c(k) be the third derivative of -k**8/42 - k**7/21 + 11*k**6/60 + 7*k**5/30 - 7*k**4/12 - 2*k**3/3 + k**2 - 5. Let c(b) = 0. Calculate b.
-2, -1, -1/4, 1
Let j be 4/16*0 + (-54)/(-72). Factor -3/2 - j*w**2 - 9/4*w.
-3*(w + 1)*(w + 2)/4
Let r(g) be the first derivative of -5/27*g**6 - 52/27*g**3 - 4/3*g**2 + 11/18*g**4 + 8/15*g**5 + 16/9*g + 2. Find v, given that r(v) = 0.
-1, 2/5, 2
Let o = 47/426 + 4/71. Factor o*a**3 + 1/6*a**5 + 0*a**2 + 0*a + 0 + 1/3*a**4.
a**3*(a + 1)**2/6
Let q(u) = u**2 - 7*u - 28. Let r be q(-3). Let 1/4*c**5 + 0 + 0*c - 3/4*c**3 + 1/2*c**r + 0*c**4 = 0. What is c?
-2, 0, 1
Let v = 17 + -13. Factor r**4 - 2*r**v - 6*r**3 - 14*r**4.
-3*r**3*(5*r + 2)
Let a(l) = -l**3 - 8*l**3 - 9*l**2 - 5 + 5*l - 5*l**3. Let b(j) = 7*j**3 + 4*j**2 - 2*j + 2. Let t(z) = -4*a(z) - 10*b(z). Factor t(u).
-2*u**2*(7*u + 2)
Let r = -14 + 9. Let x(k) = -20*k**5 + 50*k**4 - 29*k**3 + 4*k**2 + 5*k - 5. Let t(y) = y**5 + y**4 - y**3 + y - 1. Let j(b) = r*t(b) + x(b). Factor j(w).
-w**2*(w - 1)*(5*w - 2)**2
Suppose 2 = -2*y + 6. Let a(k) be the third derivative of 1/120*k**6 - y*k**2 - 1/60*k**5 + 0*k**3 + 0*k + 0 + 0*k**4. Determine q, given that a(q) = 0.
0, 1
Let u be 3/(-15) - 63/(-15). Let h(s) be the second derivative of -3*s - 1/4*s**3 + 0 - 9/8*s**2 - 1/48*s**u. Let h(q) = 0. Calculate q.
-3
Let c be 2 + (13/(-12) - -2). Let l = -9/4 + c. Factor -l*v**4 + 2/3*v + 0 + 2*v**3 - 2*v**2.
-2*v*(v - 1)**3/3
Let 13*h + 43*h**2 + 49*h**4 + 175*h**3 - h + 45*h**2 = 0. Calculate h.
-3, -2/7, 0
Let n(d) = d**2 + 3*d - 7. Let t be n(-5). Suppose -5*z - 12 = -8*z. Factor 2/5*k**t + 0 + 2/5*k**z - 2/5*k - 2/5*k**2.
2*k*(k - 1)*(k + 1)**2/5
Let w(n) be the second derivative of n**5/420 - n**4/84 + n**3/42 - n**2/2 + 3*n. Let m(p) be the first derivative of w(p). Factor m(v).
(v - 1)**2/7
Let w(u) be the first derivative of 3*u**4/28 - u**3/21 - 6*u**2/7 + 4*u/7 + 12. Factor w(j).
(j - 2)*(j + 2)*(3*j - 1)/7
Let c be 22/(-6) - 2/(-3). Let d = c - -5. Suppose 1/3*j**d + 0 + 0*j = 0. What is j?
0
Let q(r) be the first derivative of 4*r**5/5 + r**4 - 4*r**3/3 - 2*r**2 - 2. Let q(u) = 0. Calculate u.
-1, 0, 1
Let u be -6 + 5 + 1 + 1. Let r(f) = -4*f**5 + f**4 + 3*f**3 + f + 1. Let v(p) = p**5 - p**4 - p - 1. Let g(x) = u*r(x) + v(x). Solve g(b) = 0.
-1, 0, 1
Let z(p) be the second derivative of p**6/15 + 3*p**5/10 - p**4/3 - 4*p**3 - 8*p**2 - 6*p. Factor z(j).
2*(j - 2)*(j + 1)*(j + 2)**2
Let o(x) = x**3 - x**2 + x + 1. Let k = 12 - 11. Let y(c) = 7*c**3 + 17*c**2 + 31*c + 15. Let m(n) = k*y(n) - 3*o(n). Factor m(w).
4*(w + 1)**2*(w + 3)
Let m(z) = 3*z**4 + 4*z**3 + 3*z**2 + 2. Let q(v) = v**4 - v**2 - v + 1. Let f(b) = -m(b) + 2*q(b). Factor f(h).
-h*(h + 1)**2*(h + 2)
Suppose -d - 2*d + 4*r = -11, -4 = -d + r. Determine q, given that -2*q**4 + 2*q**2 - 4 + 0*q**4 + 8*q**3 - 8*q**d + 4 = 0.
-1, -1/4, 0, 1
Let i(k) be the second derivative of k**9/98280 - k**8/14560 + k**7/5460 - k**6/4680 + k**4/12 - 3*k. Let h(t) be the third derivative of i(t). Factor h(x).
2*x*(x - 1)**3/13
Let s be (-2)/(-14) + (-91)/(-49). Factor 0 + 0*q + 0*q**s - 1/6*q**3.
-q**3/6
Let h(w) = 10*w**2 - 8*w - 10. Suppose 4*t - 3*t = -3*z + 1, 0 = 5*z - t - 7. Let r(u) = 2*u**2 - z - u + 0 - u**2. Let x(c) = h(c) - 8*r(c). Factor x(p).
2*(p - 1)*(p + 1)
Let -2/5*x**3 + 0*x - 6/5*x**5 - 2*x**4 + 2/5*x**2 + 0 = 0. Calculate x.
-1, 0, 1/3
Let x be (-5)/15*21/9. Let j = 53/45 + x. Find r, given that -4/5*r**3 + j*r**5 + 0*r**2 + 0*r**4 + 0 + 2/5*r = 0.
-1, 0, 1
Let q = -3 - -6. Let -7*k**3 - 3 - 5*k**2 - k**2 + k**3 + 9*k**4 - q*k**5 + 9*k = 0. Calculate k.
-1, 1
Suppose 2*x - 7 = -k, -2*k - 3*k = -x - 2. Determine w so that -2/5*w**x - 12/5*w**2 - 16/5 - 24/5*w = 0.
-2
Let j(l) = -5*l - 95. Let x be j(-19). Factor 4/11*o + x - 2/11*o**2.
-2*o*(o - 2)/11
Determine f, given that -1/2*f**2 + 0 + 0*f + 1/4*f**3 = 0.
0, 2
Let l be 2/(-7) - 652/(-126). Let b = -20/9 + l. Suppose -2/3*s**4 + 8/3*s**3 - b*s + 8/3 - 2*s**2 = 0. Calculate s.
-1, 1, 2
Let x = -10 + 13. Solve 10*f**3 - f**4 + f**2 + 2*f**4 - 8*f**x = 0 for f.
-1, 0
Let k be (3*(-16)/(-12))/1. What is a in -2*a**k + 2*a**2 + 0*a**5 + 9*a**3 + 11*a**4 + 3*a**5 + a**2 = 0?
-1, 0
Determine l so that -5/3*l**5 + 0*l**3 + 10/3*l**2 - 10/3*l**4 + 0 + 5/3*l = 0.
-1, 0, 1
Let t(a) be the second derivative of -a**5/20 + a**4/4 + a**3/6 - 3*a**2/2 + 7*a. Solve t(s) = 0.
-1, 1, 3
Let z(q) be the first derivative of q**4/36 - 5*q**3/27 + 7*q**2/18 - q/3 + 3. Factor z(h).
(h - 3)*(h - 1)**2/9
Let t be (-2400)/(-1140) + 4/(-38). Solve 4/3*o**5 - 2/3*o**t + 1/3*o + 4/3*o**4 - o**3 + 0 = 0 for o.
-1, 0, 1/2
Factor 0 + 2*r**4 - 1/2*r**2 + 0*r - 3/2*r**3.
r**2*(r - 1)*(4*r + 1)/2
Let b(g) be the second derivative of 2*g**6/45 - 2*g**5/5 + 4*g**4/3 - 20*g**3/9 + 2*g**2 + g + 4. Solve b(c) = 0 for c.
1, 3
Suppose 41 = 5*z - 4. Let k = z + -7. Find t, given that 7*t - 1 + 2 - 5*t - t**4 - k*t**3 + 0 = 0.
-1, 1
Let x = -31 - -21. Let u be (x/3 + 3)*-2. Determine q, given that 8/3*q**5 - 2*q**3 + 0 + 10/3*q**2 - 10/3*q**4 - u*q = 0.
-1, 0, 1/4, 1
Let k(t) be the second derivative of t**4/3 - 2*t**2 + 2*t. Find w such 