 = 0.
-1, 2
Let d(k) be the third derivative of -k**10/45360 - k**9/11340 - k**8/10080 - k**4/6 + 4*k**2. Let v(t) be the second derivative of d(t). Factor v(x).
-2*x**3*(x + 1)**2/3
Let t = -370 - -370. Suppose -m**2 + 5/2*m**3 + t*m + 0 + 1/2*m**5 - 2*m**4 = 0. Calculate m.
0, 1, 2
Let p(o) = o**3 - o**2 + 2*o - 1. Let t be p(1). Let x be 10*(3/2 - t). Factor -r**2 + 0 + 0*r**3 + r**4 - 1/2*r**x + 1/2*r.
-r*(r - 1)**3*(r + 1)/2
Let i = 31 + -17. Factor 22*z**3 + 24 + 90*z**2 + 6*z**4 + 3*z**3 + i*z**3 + 84*z.
3*(z + 2)**3*(2*z + 1)
Let a be (39/2)/((-9)/(-12)). Let q be 1/(a/6 + -4). What is o in 2/3*o + 0 - 4/3*o**2 + 2/3*o**q = 0?
0, 1
Let q(p) = p**2 + p + 1. Suppose 3 = 2*i + i. Let m(f) = -7*f**2 - 5*f - 6. Let j(x) = i*m(x) + 6*q(x). Factor j(y).
-y*(y - 1)
Let g = 104 + -518/5. Let 1/5*y**2 + g - 3/5*y = 0. What is y?
1, 2
Let v(j) be the third derivative of -j**8/20160 + j**6/720 - j**5/180 + j**4/3 + 8*j**2. Let x(u) be the second derivative of v(u). Find t, given that x(t) = 0.
-2, 1
Let w(c) be the third derivative of -c**6/60 + c**5/30 + c**4/12 - c**3/3 + 2*c**2. Factor w(l).
-2*(l - 1)**2*(l + 1)
Let a(j) be the first derivative of 0*j**4 + 0*j**2 + 1/30*j**5 + 1 - j - 1/9*j**3. Let s(d) be the first derivative of a(d). Factor s(w).
2*w*(w - 1)*(w + 1)/3
Let b(c) be the second derivative of -c**5/20 + 5*c**4/12 - 4*c**3/3 + 2*c**2 - c. Let b(d) = 0. What is d?
1, 2
Factor 0*c**2 + 0*c + 2*c**3 - 2/3*c**4 + 0.
-2*c**3*(c - 3)/3
Let c be (((-42)/(-18))/7)/(4/6). Solve 0*z**2 + 0*z + c*z**3 + 0 + 1/2*z**4 = 0.
-1, 0
Let m(w) be the second derivative of w**6/240 + w**5/40 + w**4/24 - 4*w**2 - 9*w. Let z(v) be the first derivative of m(v). Find g such that z(g) = 0.
-2, -1, 0
Suppose -n - 2*n = 3*j - 21, -4*n = -4*j + 12. Let f = n - 0. Let -1/2*v**f + 0 - 1/2*v = 0. What is v?
-1, 0
Let p(f) be the first derivative of -f**8/2800 - f**7/1400 + f**6/200 + f**5/40 + f**4/20 + 2*f**3 - 2. Let a(x) be the third derivative of p(x). Factor a(d).
-3*(d - 2)*(d + 1)**3/5
Factor -34/5*q**2 + 162/5 - 2/5*q**3 - 126/5*q.
-2*(q - 1)*(q + 9)**2/5
Suppose -2*a = -7*a + 15. Let u(f) = 2*f**2 - 6*f + 7. Let z(l) = 2*l**2 - 6*l + 6. Let v(s) = a*z(s) - 2*u(s). Determine b so that v(b) = 0.
1, 2
Let w(x) = 4*x - 1. Let r(p) = -p + 9. Let o be r(8). Let k be w(o). Find q such that 10*q**2 - 5*q + 1 - 2*q**4 + 3*q**4 - q**5 - 10*q**k + 4*q**4 + 0 = 0.
1
Let d(q) = -q**2 + 27. Let o be d(-5). Let -2*p - 4/3 - 2/3*p**o = 0. Calculate p.
-2, -1
Let t(y) = -5*y**4 - 8*y**3 + 7*y**2 - 6*y + 6. Let i(j) = 14*j**3 - 6*j**2 + 9*j**4 + j**3 - 11 - 7*j**2 + 12*j - j. Let g(s) = 6*i(s) + 11*t(s). Factor g(c).
-c**2*(c - 1)**2
Let o = 12 - 7. Factor 3*t**4 - 5*t - 2*t**2 - 2*t**4 + 1 + 0*t**o + 4*t - t**5 + 2*t**3.
-(t - 1)**3*(t + 1)**2
Let q(h) = h + 3. Let f be q(4). Suppose -12 = -4*k - 3*o, 5*k = -3*o + 22 - f. Let 0*i - i**k + 2*i**2 - 2 + 0*i + i = 0. Calculate i.
-1, 1, 2
Solve -2/3*v + 0 + 16/3*v**4 + 4*v**3 - 2*v**2 = 0 for v.
-1, -1/4, 0, 1/2
Let q(x) be the second derivative of x**10/50400 + x**9/8400 + x**8/5600 + x**4/6 + 7*x. Let l(n) be the third derivative of q(n). Factor l(y).
3*y**3*(y + 1)*(y + 2)/5
Let i(x) = 2*x**5 - 2*x**4 + 9*x**3 + 2*x**2 - 6*x + 5. Let w(o) = o**5 + o**3 - o + 1. Let q(d) = -i(d) + 5*w(d). Factor q(g).
g*(g - 1)*(g + 1)**2*(3*g - 1)
Suppose 9 = 3*y + h, -3*y + 0*y + 4*h + 9 = 0. Factor -2*l**3 - l**5 + 2*l**4 + 0*l**4 + l**y.
-l**3*(l - 1)**2
Let s(n) = 3*n**2 + 3. Let y(r) = 10*r**2 - r + 10. Let b(j) = -7*s(j) + 2*y(j). Factor b(l).
-(l + 1)**2
Let x(u) = u**3 - 4*u**2 + u. Let k be x(4). Determine t, given that -t**3 + 0*t**3 - t**5 + 3*t**4 - t**k = 0.
0, 1
Let y(s) be the first derivative of 21*s**5/5 + 15*s**4/4 - 30*s**3 - 30*s**2 + 24*s - 38. Solve y(u) = 0 for u.
-2, -1, 2/7, 2
Let b(x) = x**2 - 14*x + 28. Let s be b(12). Factor 0 + 2/5*f**s - 6/5*f**3 + 6/5*f**2 - 2/5*f.
2*f*(f - 1)**3/5
Let i = -101/154 - -27/22. Factor 2/7*w**3 + 0 - i*w + 2/7*w**2.
2*w*(w - 1)*(w + 2)/7
Let i be 76/11 + (0 - 3 - 3). Factor 2/11*o**3 + i*o + 8/11*o**2 + 4/11.
2*(o + 1)**2*(o + 2)/11
Let o(u) = -u**3 - u**2 - u - 1. Let h = -13 + 14. Let d(w) = 8*w**3 + 12*w**2 + 6*w - 2. Let v(b) = h*d(b) + 6*o(b). Determine i so that v(i) = 0.
-2, 1
Determine k so that 7*k**2 - 21*k**2 - 9 + 8*k + 15*k**2 + 25 = 0.
-4
Factor -544*l + 274*l + 25*l**4 + 5*l**5 - 30*l**3 + 236 + 135*l - 270*l**2 + 169.
5*(l - 3)*(l - 1)*(l + 3)**3
Let b(q) = -3*q - 4. Let k be b(-3). Suppose 0 = -p + 5*p + 4*c - 12, -13 = -k*p - 3*c. Factor -2*a - a**2 + 7*a - 5*a**p - a.
-2*a*(3*a - 2)
Let p(b) = -10*b**4 - 5*b**3 + 10*b**2 + 15*b. Let w(o) = 11*o**4 + 4*o**3 - 11*o**2 - 16*o. Let h(a) = -6*p(a) - 5*w(a). Factor h(l).
5*l*(l - 1)*(l + 1)*(l + 2)
Let w(i) be the second derivative of -i**5/120 - i**4/72 + i**3/18 - 3*i. Factor w(g).
-g*(g - 1)*(g + 2)/6
Let d(v) be the second derivative of 1/45*v**6 - 1/3*v**2 + 2/9*v**3 + 0*v**4 + 0 - 4*v - 1/15*v**5. Solve d(f) = 0 for f.
-1, 1
Let c = -5 + 15. What is u in 6 - 4*u**2 + 2*u**5 + 8 - 8*u**3 + 6*u - c = 0?
-1, 1, 2
Let k(w) be the second derivative of -w**5/30 + w**4/18 + 4*w**3/9 - 4*w**2/3 - 12*w. Factor k(l).
-2*(l - 2)*(l - 1)*(l + 2)/3
Let y = -14 + -11. Let o = 51/2 + y. Suppose q - o*q**2 - 1/2 = 0. Calculate q.
1
Suppose 9 = 3*o - 3*b - 6, 15 = -4*o - 3*b. Let g be (-12)/(-27)*(-1)/(-1). Determine m, given that -g*m**2 + o + 2/9*m**3 + 2/9*m = 0.
0, 1
Let w(l) be the first derivative of l**5/15 - l**4/2 + 4*l**3/3 - 4*l**2/3 + 2. Factor w(a).
a*(a - 2)**3/3
Solve 0 - 2/3*c**4 - 2/9*c**2 + 0*c - 2/9*c**5 - 2/3*c**3 = 0 for c.
-1, 0
Factor -30*s**2 + 2 + 29*s**2 - 1.
-(s - 1)*(s + 1)
Let m be 16/(-6)*(-15)/10. Suppose -m*o = -o. Solve 1/4*d**2 + 1/4*d + o = 0 for d.
-1, 0
Let n be (-4)/6*(1 + 11). Let r be (-2)/n*-10 + 3. Factor -r - 2*a**4 - 15/2*a**2 - 13/2*a**3 - 7/2*a.
-(a + 1)**3*(4*a + 1)/2
Factor -2 - 14/3*c - 2/3*c**3 - 10/3*c**2.
-2*(c + 1)**2*(c + 3)/3
Let a(l) = l**2 - 2*l. Let m be a(4). Find u, given that 3*u + 16*u**5 + 18*u**3 + m*u**5 + 46*u**4 - 5*u - 6*u**2 = 0.
-1, -1/4, 0, 1/3
Suppose -3*p + t - 40 = p, 0 = 5*p - 3*t + 50. Let c be 4/5*p/(-4). Factor 1/2*y**c + 1/2*y + 0.
y*(y + 1)/2
Suppose 1 = q - 0. Suppose 5*k = 9 + q. Let -3/2 - 3/2*d**k - 3*d = 0. What is d?
-1
Let y be (8/10)/((-1)/(-5)). Let z be y/(-6) + 196/105. Factor 0 + z*m**2 + 2/5*m.
2*m*(3*m + 1)/5
Let c = 1/194 - -95/388. Factor -c + d - 5/4*d**2 + 1/2*d**3.
(d - 1)**2*(2*d - 1)/4
Let r(t) be the first derivative of -t**6/180 + t**5/20 - t**4/6 + 4*t**3/3 + 6. Let m(w) be the third derivative of r(w). Determine j so that m(j) = 0.
1, 2
Factor p**4 + 1/5 + 4/5*p**3 - 4/5*p - 6/5*p**2.
(p - 1)*(p + 1)**2*(5*p - 1)/5
Let z(n) be the third derivative of 0 - 1/60*n**5 - 4*n**2 + 0*n + 1/120*n**6 + 1/6*n**3 - 1/24*n**4. Factor z(t).
(t - 1)**2*(t + 1)
Suppose -1/11 + 4/11*j**3 + 1/11*j**2 - 4/11*j = 0. Calculate j.
-1, -1/4, 1
Let f(t) be the second derivative of t**5/90 - t**4/27 - 4*t**3/27 + 8*t**2/9 - 5*t. Factor f(p).
2*(p - 2)**2*(p + 2)/9
Let z be -1*(1 + -2) - 3/(-3). Let i(y) be the first derivative of 7/8*y**4 + 11/4*y**z + y - 1 + 8/3*y**3. Let i(v) = 0. What is v?
-1, -2/7
Let j(h) = 3*h**2 + 101*h + 288. Let s(m) = 4*m**2 + 152*m + 432. Let o(n) = 8*j(n) - 5*s(n). Factor o(f).
4*(f + 6)**2
Let c be (2/4)/((-13)/(-104)). Factor -5/2*u**3 + 10*u + c - u**2.
-(u - 2)*(u + 2)*(5*u + 2)/2
Let l = -177 - -357/2. Factor l*i + 0 + 15/4*i**4 + 9*i**3 + 27/4*i**2.
3*i*(i + 1)**2*(5*i + 2)/4
Let g be (-27)/(-4) - (31 + -28). Determine i, given that -3/4 + g*i**2 - 3*i = 0.
-1/5, 1
Factor 96 + 12*m**4 + 414*m**2 + 141*m**3 - 4*m**4 + 7*m**4 + 286*m + 98*m.
3*(m + 1)*(m + 4)**2*(5*m + 2)
Let t(w) = w**5 - 16*w**4 + w**3. Let y(u) = -u**5 + u**4 - u**3. Let a(c) = t(c) + 6*y(c). Factor a(x).
-5*x**3*(x + 1)**2
Let d(g) = 4*g**2 + 5*g + 1. Let r = 12 + -10. Let z(n) = -1 + 3 - 3 - 3*n**2 - r*n - 2*n. Let j(v) = 4*d(v) + 5*z(v). Suppose j(k) = 0. Calculate k.
-1, 1
Solve -8*h**2 + 4 - 4*h**2 + 21*h + 1 + 1 = 0.
-1/4, 2
Let f(c) = -4*c - 20. Let y be f(-6). Let o(s) be the second derivative of 0 + s - 1/70*s**5 + 0*s**2 + 0*s**y + 0*s**3 - 1/105*s**6. Factor o(g).
-2*g**3*(g + 1)/7
Let z(k) be the third derivative of 2*k**7/3