
Let i(w) = -4 + 2*w**2 - 4*w + 4*w - 1. Let b(s) = -4*s**2 + 9. Let z(g) = -3*b(g) - 5*i(g). Suppose z(c) = 0. Calculate c.
-1, 1
Let p(j) be the first derivative of -j**2/2 + 1. Let t be p(-4). Find f, given that -f**2 - t*f - f**2 + 0*f**2 = 0.
-2, 0
Let b(n) be the first derivative of 2*n**3/27 + 4*n**2/9 + 8*n/9 - 13. Factor b(o).
2*(o + 2)**2/9
Let w(h) be the third derivative of 1/75*h**5 + 0*h**3 + 0*h + 3*h**2 + 0 + 1/150*h**6 - 1/15*h**4. Factor w(q).
4*q*(q - 1)*(q + 2)/5
Let p be 2/4*8/5. Factor p*l + 0 + 2/5*l**2.
2*l*(l + 2)/5
Determine h so that 2/11*h**3 - 4/11*h - 2/11*h**2 + 0 = 0.
-1, 0, 2
Let d(n) be the first derivative of n**5/20 - n**4/4 + n**3/4 + n**2/2 - n - 29. Solve d(s) = 0.
-1, 1, 2
Suppose h = -0*h. Suppose -4*r + 14 + 2 = h. Factor -4*v**3 + 36*v**3 + 4*v + 12*v**4 + 22*v**2 + 2*v**r.
2*v*(v + 1)**2*(7*v + 2)
Let d(a) be the first derivative of -2*a**5/5 + 5*a**4/2 - 8*a**3/3 - 51. Factor d(t).
-2*t**2*(t - 4)*(t - 1)
Let v be (-204)/108 - (-2 - 1). Determine g so that 2/9 - 10/9*g + 20/9*g**2 - 2/9*g**5 + v*g**4 - 20/9*g**3 = 0.
1
Let g(h) = h**2 + 10*h - 73. Let o be g(-15). Find c, given that 0*c + 0 + 1/2*c**o = 0.
0
Solve -3/4*o + 0 + 1/4*o**2 = 0 for o.
0, 3
Let b(s) be the first derivative of -s**6/27 - 2*s**5/45 + 16. Factor b(n).
-2*n**4*(n + 1)/9
Let v(t) be the second derivative of t**4/24 + t**3/12 - 3*t. Factor v(b).
b*(b + 1)/2
Suppose o + 3*o = 20. Let y(g) be the first derivative of 0*g**2 + 1/6*g**6 + 0*g - 1/4*g**4 + 1/5*g**o + 2 - 1/3*g**3. Solve y(u) = 0.
-1, 0, 1
Solve -70*t**3 + 18*t**3 - 17*t - 4*t**5 + t + 6*t**2 + 42*t**2 + 24*t**4 = 0.
0, 1, 2
Let t(j) = 2*j**3 - j**2 - j - 1. Let s be t(-1). Let g = s + 5. What is y in 6/7*y**g - 10/7*y + 2/7 + 18/7*y**3 = 0?
-1, 1/3
Let w(n) = -n**4 - 3*n**3 - n**2 + 5*n. Let x(u) = -u**4 - 2*u**3 - u**2 + 4*u. Let k(m) = 4*w(m) - 5*x(m). Suppose k(f) = 0. What is f?
0, 1
Let r(h) = -h**3 + 3*h + 2. Let m be r(-2). Factor k**4 + k**4 - 4*k**3 + 2*k**2 + 4*k - m*k.
2*k**2*(k - 1)**2
Let d(j) = -2*j**2 - 12*j - 8. Let m(f) = 8*f**2 + 49*f + 32. Let t(y) = -9*d(y) - 2*m(y). Factor t(p).
2*(p + 1)*(p + 4)
Let h be 1*(2/(-5) + 6/15). Let o(w) be the third derivative of 1/15*w**3 - 3/40*w**4 + 7/300*w**5 + 0 + h*w + 2*w**2. Factor o(k).
(k - 1)*(7*k - 2)/5
Let a(j) be the first derivative of -j**4/32 + j**3/24 - 15. Determine z, given that a(z) = 0.
0, 1
Let d = 19 + -12. Let q(h) be the second derivative of 1/6*h**4 + 0 + 1/5*h**6 + 0*h**3 + 0*h**2 + 2*h - 1/21*h**d - 3/10*h**5. Let q(x) = 0. What is x?
0, 1
Let z = 52 - 257/5. What is k in 0 + 3/5*k**2 - z*k**3 + 0*k = 0?
0, 1
Let a(g) be the second derivative of -g**6/240 - g**5/40 - g**4/16 - g**3/12 + 5*g**2/2 - g. Let o(q) be the first derivative of a(q). Solve o(l) = 0 for l.
-1
Find s such that -5*s - 15 + 8 + 5*s**2 - 3 = 0.
-1, 2
Let t = -23 - -28. Find d such that -4*d**4 - d + 6*d**2 + 4*d - 2*d**4 - 3*d**t = 0.
-1, 0, 1
Let f be ((-2)/(-4))/(8 + -4). Let s = f - -1/8. Let 1/4*n + 1/2 - s*n**2 = 0. What is n?
-1, 2
Let b = 1443208/4501 + -780/643. Let u = 320 - b. Find v such that -2/7*v + 2/7*v**2 - u = 0.
-1, 2
Let v(s) be the second derivative of s**5/5 - 2*s**3/3 - 33*s. Let v(r) = 0. What is r?
-1, 0, 1
Suppose 2*r + 2*h = -0*r + 14, 23 = 5*r + 2*h. Let m = -6 + 8. Determine u so that -5/3*u**r + 0 - 3*u**m + 7/3*u**5 + 3*u**4 - 2/3*u = 0.
-1, -2/7, 0, 1
Let u(m) be the second derivative of 7/27*m**3 - 4/27*m**4 - 3*m - 2/9*m**2 + 0 + 1/30*m**5. Factor u(b).
2*(b - 1)**2*(3*b - 2)/9
Suppose -6*k + 11*k + 2*h + 18 = 0, 4 = -h. Let j be k/(-6) - 1/12. Find a, given that -1/4*a + 1/4 - j*a**2 + 1/4*a**3 = 0.
-1, 1
Let i(s) be the third derivative of -s**8/6720 - s**7/1260 + s**4/6 + 4*s**2. Let m(y) be the second derivative of i(y). What is z in m(z) = 0?
-2, 0
Let s be (9/6)/((-12)/32). Let v(r) = r**3 + 3*r**2 - 2*r. Let m(w) = w**3 + w**2 - w. Let g(k) = s*m(k) + 2*v(k). What is c in g(c) = 0?
0, 1
Let c(a) be the first derivative of 1/42*a**4 + 0*a**2 - a + 0*a**3 + 3. Let s(t) be the first derivative of c(t). Let s(n) = 0. Calculate n.
0
Let a(u) = -5*u + 13. Let f be a(2). Factor 0 + 0*y - 24/7*y**f - 2*y**4 + 8/7*y**2.
-2*y**2*(y + 2)*(7*y - 2)/7
Let n be (0/(-3))/(65/(-13)). Factor 0*q - 6/7*q**2 - 3/7*q**4 - 9/7*q**3 + n.
-3*q**2*(q + 1)*(q + 2)/7
Suppose 0*v**3 - 1/7*v**4 + 0*v - 1/7 + 2/7*v**2 = 0. What is v?
-1, 1
Let s(j) be the second derivative of j**6/15 - 3*j**5/5 - 4*j**4 - 26*j**3/3 - 9*j**2 - 11*j. Suppose s(h) = 0. What is h?
-1, 9
Find m such that 108/7 - 36/7*m + 3/7*m**2 = 0.
6
Let m(w) be the first derivative of -2*w**3 - 3*w**2/2 - 27. Find c, given that m(c) = 0.
-1/2, 0
Let j(m) be the second derivative of -m**4/108 + m**3/18 + m - 41. Suppose j(b) = 0. What is b?
0, 3
Let r(c) be the second derivative of 2/27*c**3 + 0*c**2 + 1/18*c**4 + 0 + 1/90*c**5 + c. Solve r(i) = 0.
-2, -1, 0
Factor 9*b**2 + 5 - 10*b**2 - 4*b**2.
-5*(b - 1)*(b + 1)
Suppose 0 = 3*z - z + 4*z. Let v(h) be the second derivative of 0 + z*h**2 + 4*h - 1/15*h**3 - 1/30*h**4. Find q such that v(q) = 0.
-1, 0
Let v(r) be the first derivative of -4*r**3/57 + r**2/19 + 2*r/19 - 9. Suppose v(l) = 0. What is l?
-1/2, 1
Factor 1/6*n + 1/3 - 1/6*n**2.
-(n - 2)*(n + 1)/6
Factor -2*x**4 + 4*x**2 - 2*x**4 - 5*x**5 - 2*x + 7*x**5.
2*x*(x - 1)**3*(x + 1)
Let r = 12 - 12. Let h(z) be the first derivative of -2/3*z**3 - 1 - 1/3*z**6 + 0*z**2 + 2/5*z**5 + 1/2*z**4 + r*z. Solve h(u) = 0 for u.
-1, 0, 1
Let h(l) = l + 5. Let k be h(-2). Let x(p) be the second derivative of -3*p + 0*p**2 + 0*p**4 + 1/180*p**6 + 0 + 0*p**k + 1/60*p**5 - 1/252*p**7. Factor x(n).
-n**3*(n - 2)*(n + 1)/6
Let r(a) be the first derivative of -a**9/6048 + a**8/1680 - a**7/1680 - 2*a**3/3 - 3. Let j(w) be the third derivative of r(w). Factor j(u).
-u**3*(u - 1)**2/2
Factor 1/6*s**3 + 1/2*s**2 + 1/2*s + 1/6.
(s + 1)**3/6
Let m(f) = -f + 6. Let l be m(4). Let i be -5 + 7 - (-6)/l. Factor 0 + 1/2*o**i - 3/2*o**4 - 1/2*o**2 + 0*o + 3/2*o**3.
o**2*(o - 1)**3/2
Let d(w) = w**3 - 4*w**2 - 19*w - 12. Let f be d(7). Determine c so that 1/4 + 1/4*c**f + 1/2*c = 0.
-1
Let f(h) be the third derivative of -1/50*h**5 - h**2 + 0 - 1/20*h**4 - 1/300*h**6 + 0*h - 1/15*h**3. Factor f(q).
-2*(q + 1)**3/5
Let n(v) = 9*v**4 - 2*v**3 - v**2 + 6. Let g(w) = w**4 + 1. Let f(z) = 6*g(z) - n(z). Find x such that f(x) = 0.
-1/3, 0, 1
Let b be 3 - (-2 + 3 - -1). Let o = b + 2. Determine x so that -4*x**2 - x - x**5 - 5*x**3 + 2*x**4 - 6*x**4 - x**o = 0.
-1, 0
Factor 2/3*f**2 + 4/3*f - 2.
2*(f - 1)*(f + 3)/3
Let r = 632 - 4422/7. Factor 4/7*k - 2/7 + r*k**4 - 4/7*k**3 + 0*k**2.
2*(k - 1)**3*(k + 1)/7
Let f(j) be the first derivative of -1/2*j**2 - 7/12*j**4 + 2/3*j - 3 - 4/3*j**3. Find u, given that f(u) = 0.
-1, 2/7
Let l(z) be the third derivative of 0 + 0*z + 1/30*z**5 + 0*z**3 - 1/12*z**4 + 4*z**2. Suppose l(m) = 0. Calculate m.
0, 1
Let v(m) = m**2 - m + 1. Let b(a) = -2*a**2 + a**2 - 2*a - 4 - 2*a**2 + a. Let i(l) = -b(l) - 2*v(l). Determine t, given that i(t) = 0.
-2, -1
Let l be (-2)/(-4)*(0 + 0). Let b be ((-6)/(-9))/(0 + 3). Determine i, given that l*i**4 - 4/9*i**3 + 0*i**2 + b*i**5 + 0 + 2/9*i = 0.
-1, 0, 1
Factor 37*j**2 - 75*j**2 + 36*j**2.
-2*j**2
Let i = 44 + -31. Suppose -7 + i = 3*w. Let 1/4*j**4 - 1/4*j**3 + 0 + 1/4*j - 1/4*j**w = 0. What is j?
-1, 0, 1
Solve 0 + 4/3*u - 4*u**2 - 7/3*u**3 = 0.
-2, 0, 2/7
Let n(o) be the third derivative of o**8/30240 - o**7/2520 + o**6/540 + o**5/30 + 2*o**2. Let j(u) be the third derivative of n(u). Factor j(s).
2*(s - 2)*(s - 1)/3
Suppose 0*w**2 - 2/5*w**3 + 2/5*w + 0 = 0. What is w?
-1, 0, 1
Let h = -15881/120 + 1039/8. Let i = h + 14/5. Solve 0 + 1/3*g**4 + 0*g + i*g**3 - 1/3*g**2 - 1/3*g**5 = 0 for g.
-1, 0, 1
Solve -8 + 4/3*d + 4/3*d**2 = 0 for d.
-3, 2
Let w = -477 + 477. Find i such that 0*i + 0*i**4 - 1/7*i**3 + 1/7*i**5 + w + 0*i**2 = 0.
-1, 0, 1
Suppose 2*b - 4*b + 4*b = 0. Determine n so that 0*n + b - 4/3*n**2 - 2/3*n**3 + 2/3*n**4 = 0.
-1, 0, 2
Factor -22/3*o**2 + 2*o**3 - 8/3*o + 0.
2*o*(o - 4)*(3*o + 1)/3
Let a be (-8)/1*(-17)/170. Let 6/5*n - 2/5 + 6/5*n**4 - 4/5*n**2 - a*n**3 - 2/5*n**5 = 0. Calculate n.
-1, 1
Let t = -5 - -5. Let j be (-2)/(-4) - 5/(-2). Factor 0 - 2/7*o**4 + 2/7*o**5 + t*o - 2/