 0 + u*o - 1/3*o**3 - 1/3*o**2 + 1/3*o**4.
o*(o - 1)**2*(o + 1)/3
Let g(q) = q + 28. Let v be g(7). Let i = 109/3 - v. Solve 2*l**2 + i - 10/3*l = 0 for l.
2/3, 1
Suppose 0 = 5*b - 10. Let c be (-68)/(-20) - b/5. Suppose 37 + 7*p**2 - 8*p + 12*p**2 - 41 - 7*p**c = 0. What is p?
-2/7, 1, 2
Let p = -9 - -12. Factor -440*j + 430*j - j**2 + 5*j**p - 4*j**2.
5*j*(j - 2)*(j + 1)
Let y(h) = h**2 - h - 6. Let c be y(-3). Solve -72*m**5 + 69*m**5 + 14*m**3 - 2*m**3 + c*m**2 - 9*m - 6 = 0.
-1, 1, 2
Let s(o) be the first derivative of 7 - 4/15*o**3 - 4/5*o + 4/5*o**2. Factor s(u).
-4*(u - 1)**2/5
Let m(d) be the third derivative of d**5/36 + 5*d**4/12 + 20*d**3/9 - 35*d**2. Factor m(z).
5*(z + 2)*(z + 4)/3
Suppose 3*k + 9*h - 5*h - 11 = 0, 0 = 5*k - 2*h - 27. Suppose k*u**3 - 2*u**3 + u + 1 + 1 + 2*u - 8*u**2 = 0. What is u?
-1/3, 1, 2
Let j(m) be the third derivative of m**6/360 - m**5/45 - 11*m**4/72 - m**3/3 - 105*m**2. Factor j(z).
(z - 6)*(z + 1)**2/3
Suppose 207*m - 208*m + 2*z = 3, -2*z = 2*m - 18. Factor 0 + 1/2*c**4 + c - 1/2*c**2 - 3/2*c**3 + 1/2*c**m.
c*(c - 1)**2*(c + 1)*(c + 2)/2
Let x(w) be the first derivative of 3*w**5/5 - 5*w**4/2 + 3*w**3 - w**2 + 85. Determine z so that x(z) = 0.
0, 1/3, 1, 2
Let z(f) be the third derivative of -1/180*f**6 + 0 + 0*f**5 - 5/6*f**3 + 0*f**4 + 6*f**2 + 0*f. Let k(r) be the first derivative of z(r). Factor k(p).
-2*p**2
Let m(j) = j**3 - 3*j**2 - 3*j - 3. Let i be m(3). Let t = -9 - i. Factor -3*p**2 + 4*p**2 + 2 - t*p**2.
-2*(p - 1)*(p + 1)
Let u(v) be the first derivative of -5/8*v**2 - 1/2*v - 1/3*v**3 - 1/16*v**4 - 16. Solve u(n) = 0.
-2, -1
Let r(p) = 4*p - 43. Let o be r(0). Let l = -128/3 - o. Factor -4/3*j - l + 1/3*j**2 + 4/3*j**3.
(j - 1)*(j + 1)*(4*j + 1)/3
Let z(v) be the third derivative of v**7/525 - v**6/300 - 23*v**5/150 - 13*v**4/20 - 6*v**3/5 + 41*v**2 - 1. Let z(t) = 0. Calculate t.
-3, -1, 6
Factor 3*n**4 - 156*n**3 - 1272*n**2 + 1424*n**2 + n**4.
4*n**2*(n - 38)*(n - 1)
Let n(b) be the second derivative of b**3/6 - 9*b**2 + 22*b. Let w be n(18). Let 0*s**2 + 1/6*s**3 + 1/6*s**5 + w*s + 0 - 1/3*s**4 = 0. Calculate s.
0, 1
Suppose -7*t = -2*t - 10. Factor 5*u**4 - 5*u**4 + 2*u**4 + t*u**5 + 3*u**5.
u**4*(5*u + 2)
Factor 208/5*d + 4/5*d**2 + 2704/5.
4*(d + 26)**2/5
Suppose -8169*b + 8102*b = 0. Solve -2/3*x**5 + b + 2*x**2 + 2*x**3 + 4/9*x - 2/9*x**4 = 0.
-1, -1/3, 0, 2
Suppose 0 = -3*d + 30 - 120. Let f be (4/(-10))/(6/d). Factor 2*u**2 - 4 - f*u - u**2 - u**2 + 2*u**2.
2*(u - 2)*(u + 1)
Suppose 32 - 97 = -59*t + 53. Factor -4*j**t - 4/3*j**4 + 4*j**3 + 4/3*j + 0.
-4*j*(j - 1)**3/3
Let d(g) be the second derivative of 3*g**2 - 1/100*g**5 - 6*g + 0*g**3 + 0*g**4 + 0. Let o(t) be the first derivative of d(t). Solve o(r) = 0.
0
Factor -1944/5 + 4752/5*c + 1014/5*c**3 - 3822/5*c**2.
6*(c - 1)*(13*c - 18)**2/5
Let o(n) = -4*n**2 + 18*n + 72. Let m be o(7). Factor 0 - 1/3*l**m - 2/3*l.
-l*(l + 2)/3
Let r(y) = 166*y**2 - 3*y - 1. Let o(n) = -2*n**2 + n - 1. Let p(q) = -o(q) + r(q). Factor p(a).
4*a*(42*a - 1)
Determine l so that -3/2*l**2 - 15 + 33/2*l = 0.
1, 10
Find y such that 2/7*y**4 + 46/7*y**3 - 46/7*y - 50/7*y**2 + 48/7 = 0.
-24, -1, 1
Let t(h) = 5*h**3 - 27*h**2 - 8*h + 3. Let x(d) = 9*d**3 - 54*d**2 - 18*d + 5. Let u(r) = 5*t(r) - 3*x(r). Factor u(f).
-f*(f - 14)*(2*f + 1)
Suppose 2*f - 6 + 14 = 0. Let k(u) = -u - 4. Let g be k(f). Suppose -1/7*n**5 + 3/7*n**4 + 0*n**3 + g*n - 4/7*n**2 + 0 = 0. What is n?
-1, 0, 2
Let u(g) = -g**2 - 1. Let p(m) = m**3 + 6*m**2 - 4*m - 4. Let r(o) = p(o) + 4*u(o). Determine y so that r(y) = 0.
-2, 2
Let q(s) be the third derivative of s**5/15 - 5*s**4/3 + 167*s**2. Factor q(x).
4*x*(x - 10)
Suppose -n + 0*n = -25. Let a = n - 25. Factor -j**5 + j**3 + a*j**4 - j**5 - 4*j**4 - 3*j**3.
-2*j**3*(j + 1)**2
Let r(l) be the second derivative of 0*l**2 + 0 + 1/120*l**4 - 1/30*l**3 + 6*l. What is i in r(i) = 0?
0, 2
Let d(m) be the first derivative of -m**3/9 + 6*m**2 - 60*m + 440. Factor d(w).
-(w - 30)*(w - 6)/3
Let j be (-3 + 3)/(-32 - -14 - -17). Suppose 0 + j*u**2 - 4/11*u**3 + 0*u + 6/11*u**5 + 2/11*u**4 = 0. What is u?
-1, 0, 2/3
Suppose -2*m + 0*c - 66 = -c, -c = 4. Let b be (-10)/m*3/(-2) - -1. Factor -b*a**2 + 8/7*a**3 + 0*a + 0.
4*a**2*(2*a - 1)/7
Suppose 2*a = -5*p + 9 - 4, -2*p - a = -2. Let q be p + 0 - (-3 + 2). Determine y so that 5*y**3 + 6*y**q - 5*y**3 - 3*y + 2*y**3 - 5*y**3 = 0.
0, 1
Let j(k) be the second derivative of -k**6/200 - k**5/100 - 13*k**2/2 - 6*k. Let z(w) be the first derivative of j(w). Find g such that z(g) = 0.
-1, 0
Let f(o) be the third derivative of -1/90*o**6 - 2/15*o**5 - 33*o**2 - 2/3*o**4 + 0 - 16/9*o**3 + 0*o. Let f(j) = 0. Calculate j.
-2
Find t such that 0 - 2/15*t**2 - 4/3*t = 0.
-10, 0
Let c(h) be the second derivative of h**9/18144 - h**8/10080 - 9*h**3/2 - 9*h. Let f(l) be the second derivative of c(l). Factor f(s).
s**4*(s - 1)/6
Find o, given that 8 - 16*o - 25*o - 40*o**3 + 8*o**2 - 27*o - 124*o**2 = 0.
-2, -1, 1/10
Let i(r) = -r**3 - 12*r**2 - 10*r + 15. Let x be i(-11). Suppose 8*j + x*j**3 + 7*j - 15*j + 4*j**4 = 0. Calculate j.
-1, 0
Let a(b) = -b**3 + 62*b**2 - 384*b - 50. Let i be a(55). Determine c, given that -2*c + 0 - 43/2*c**3 - 7/2*c**i - 15*c**4 - 12*c**2 = 0.
-2, -1, -2/7, 0
Let w = 6245/4 - 1561. Factor w*l**2 + 3/4*l + 1/2.
(l + 1)*(l + 2)/4
Let v be 28/(-6) + (-90)/(-18). Let s(a) be the first derivative of -1/5*a**5 + 0*a + v*a**3 - 5 + 1/6*a**6 + 0*a**2 - 1/4*a**4. Determine l so that s(l) = 0.
-1, 0, 1
Let d(s) = s + 1. Let n be d(1). Suppose -32 = -n*k + 74. Factor -10*w**2 + 8*w**5 + 20*w**4 + k*w - 78*w - 3*w**5 + 20*w**3 - 10.
5*(w - 1)*(w + 1)**3*(w + 2)
Let t be ((-8648)/(-960) + -9)*2. Let f(g) be the third derivative of 0*g**3 - 1/24*g**4 - 8*g**2 + 0*g + 0 - t*g**5. Determine j, given that f(j) = 0.
-1, 0
Let -10*i**3 + 5*i**3 + 13*i**2 + 8*i**2 + 8*i**3 + 42*i + 24 = 0. What is i?
-4, -2, -1
Let r = 1579 - 1579. Solve 4/7*i + r + 2/7*i**2 = 0.
-2, 0
Let z = -50/21 - -592/231. Determine x so that 2/11 + 2/11*x**3 - z*x - 2/11*x**2 = 0.
-1, 1
Let r(h) = h**5 - 9*h**4 + 8*h**3 + 5*h**2 + 5*h + 5. Let t(w) = w**5 - 9*w**4 + 8*w**3 + 4*w**2 + 4*w + 4. Let n(j) = -4*r(j) + 5*t(j). What is l in n(l) = 0?
0, 1, 8
Suppose 255*z - 254*z - 2 = 0. Find o such that -16/5*o + 4/5 - 4/5*o**z + 16/5*o**3 = 0.
-1, 1/4, 1
Suppose -33 = -4*r - 5*v, -47*r + 43*r + 3 = -v. Determine q so that -4/5*q**3 - 1/5 - 9/5*q**r - 6/5*q = 0.
-1, -1/4
Let 0*p**3 + 2*p**3 - 4*p**2 + 3*p**2 + 7*p**3 - 10*p**3 = 0. Calculate p.
-1, 0
Let m(a) be the first derivative of -a**5 + 15*a**4/4 - 5*a**3 + 5*a**2/2 + 16. Factor m(g).
-5*g*(g - 1)**3
Let z be (1 - 14 - 4)/(-1). Factor 5*k**3 - z*k**2 - 14*k**2 + 36*k**2.
5*k**2*(k + 1)
Let k(q) be the second derivative of -q**4/12 - 7*q**3/6 - 3*q**2 - 4*q. Let r be k(-5). Factor 9 + z**3 - 9 - r*z**3.
-3*z**3
Let b(d) be the third derivative of -d**7/105 + 3*d**6/20 + 11*d**5/10 + 35*d**4/12 + 4*d**3 - 3*d**2 - 13*d. Solve b(i) = 0.
-1, 12
Let b(i) = -3*i**3 + i**2 - i - 1. Let g(f) = 11*f**3 - 87*f**2 + 222*f - 138. Let l(h) = -2*b(h) - g(h). Factor l(x).
-5*(x - 14)*(x - 2)*(x - 1)
Let l(d) be the third derivative of -d**7/70 + 2*d**6/5 + 7*d**5/4 + 9*d**4/4 - 147*d**2 + 3*d. Factor l(g).
-3*g*(g - 18)*(g + 1)**2
Let a(t) be the third derivative of -t**8/672 - t**7/1260 + 5*t**5/12 - 27*t**2. Let s(u) be the third derivative of a(u). Factor s(d).
-2*d*(15*d + 2)
Let s(p) be the third derivative of -p**7/70 + 11*p**6/20 - 93*p**5/20 - 45*p**4 + 216*p**3 - 244*p**2 + 1. What is m in s(m) = 0?
-3, 1, 12
Let b(f) = f**2 + 18*f + 9. Let x(a) = -4*a - 2. Let v(j) = -2*b(j) - 9*x(j). Factor v(y).
-2*y**2
Let k be (-6)/(-13) + (-81)/260. Let j(h) be the second derivative of k*h**5 + 0 + 1/2*h**4 + 0*h**2 + 6*h + 0*h**3. Factor j(l).
3*l**2*(l + 2)
Let n(a) be the second derivative of -a**7/168 + 5*a**6/72 - a**5/3 + 5*a**4/6 - 13*a**3/6 + 14*a. Let k(z) be the second derivative of n(z). Factor k(p).
-5*(p - 2)**2*(p - 1)
Let m(p) = -p**4 - p**2 + p. Let a(g) = 21*g**4 - 9*g**3 + 27*g**2 - 21*g. Let r = -40 + 41. Let u(b) = r*a(b) + 18*m(b). Solve u(l) = 0 for l.
0, 1
Let x be (-8)/16*8/2. Let d be (2 - x)*(-2)/(-4). Solve -4*c + c**d + c**2 + c + c**2 = 0 for c.
0, 1
Solv