be m(5). Factor -2/3*u**2 + 0*u + 8/3*u**4 + l + 2*u**3.
2*u**2*(u + 1)*(4*u - 1)/3
Factor -n - 5*n**3 - 4*n**2 + 5*n**3 + 3*n**3 + 2.
(n - 1)**2*(3*n + 2)
Let m = -1823/325 - -75/13. Let t(v) be the first derivative of -1 - 1/30*v**6 - 4/15*v**3 - 3/10*v**4 + 0*v - m*v**5 - 1/10*v**2. Let t(c) = 0. What is c?
-1, 0
Let o(a) = 5*a**4 - a**2 + 3*a. Let q(c) = 2*c**4 + c. Let w(m) = 3*o(m) - 7*q(m). Suppose w(y) = 0. What is y?
-2, 0, 1
Suppose 0*l = -2*l + 4. Let q = -14 - -14. Determine w, given that -3*w**3 + q*w**l + w**3 + w**2 + 3*w**3 = 0.
-1, 0
Let a be (-45)/(-18)*(-4)/(-5). Factor -3*r**5 + r**3 - r**4 + 2*r**3 + 3*r**2 - a*r**4.
-3*r**2*(r - 1)*(r + 1)**2
Let w be (45/6)/((-9)/(-48)). Let b be (w/(-30))/((-10)/3). Suppose 0*u**2 + 0*u**4 + 4/5*u**3 + 0 - b*u - 2/5*u**5 = 0. What is u?
-1, 0, 1
Let z be (1 + (-21)/12)*(-112)/210. Factor -z*i**2 - 2/5*i + 4/5.
-2*(i - 1)*(i + 2)/5
Suppose 3*l - 4 = 2. Suppose 0 + 3*b**2 - 1 + l*b - 3 + 3*b**2 = 0. Calculate b.
-1, 2/3
Let r = -15/2 - -8. Let p(l) be the first derivative of 5/6*l**3 + 1/2*l**4 + 1/10*l**5 + r*l**2 - 2 + 0*l. Suppose p(q) = 0. Calculate q.
-2, -1, 0
Let k(j) = 3*j**2 + 7*j - 6. Let p(h) be the second derivative of -5*h**4/12 - 13*h**3/6 + 11*h**2/2 - 3*h. Let x(i) = -7*k(i) - 4*p(i). Factor x(o).
-(o - 2)*(o - 1)
Let d = 22 + -17. Let u(j) be the second derivative of 2*j + 1/10*j**d - 1/8*j**2 + 0 - 1/8*j**3 + 1/8*j**4. Factor u(r).
(r + 1)*(2*r - 1)*(4*r + 1)/4
Let y = -1 - -3. Let w = -284/15 - -98/5. Factor -w*d**y - 4/3 - 2*d.
-2*(d + 1)*(d + 2)/3
Let w(t) = 0*t - t - 3 + 3 + 1. Let f(y) = -y**2 - 5*y + 6. Let r(k) = f(k) - 6*w(k). Factor r(j).
-j*(j - 1)
Find h, given that -15/8*h**3 + 0 + 3/2*h**4 + 3/8*h**2 + 0*h = 0.
0, 1/4, 1
Let y be (2 - -2) + -3 - -2. Determine o, given that -3*o**2 + 0*o + 6*o**3 + 0*o**y + 16*o**2 + 4 + o**4 + 12*o = 0.
-2, -1
Let u be 0/(2 + 5 - 11). Factor u - j + 1/2*j**2.
j*(j - 2)/2
Let h(a) be the third derivative of -a**7/8820 + a**5/420 - a**4/8 - 2*a**2. Let x(j) be the second derivative of h(j). Let x(k) = 0. Calculate k.
-1, 1
Factor 4*i**4 - 2*i**4 - 22*i**2 - 16 + 29*i + 0*i**4 + 7*i.
2*(i - 2)*(i - 1)**2*(i + 4)
Let x = 3 + 1. Suppose s = -x*s. Factor 13*i + 2 - i + s*i**2 + 18*i**2.
2*(3*i + 1)**2
Let p be -1 + (-5)/(10/(-12)). Factor 2 + x**4 + 4*x - 3*x - 3*x**4 + 4*x**3 - p*x.
-2*(x - 1)**3*(x + 1)
Factor 3/4*k**3 - 45*k**2 - 6000 + 900*k.
3*(k - 20)**3/4
Let 8/3*a - 1/3*a**2 - 16/3 = 0. Calculate a.
4
Let g(x) be the third derivative of -x**8/448 - x**7/280 + x**6/160 + x**5/80 - 6*x**2. Find w, given that g(w) = 0.
-1, 0, 1
Let q(l) = 4*l**3 - 2*l**2 + l. Let u(c) = -c**3. Let t = 1 + -2. Let r be t*2 + -1 + 1. Let m(b) = r*q(b) - 6*u(b). Factor m(s).
-2*s*(s - 1)**2
Determine w so that -1/3*w**4 - 1/3 + 4/3*w**3 - 2*w**2 + 4/3*w = 0.
1
Let g(y) = -2*y**2 + 6*y. Let m be g(5). Let a be (-4)/10 - 48/m. Determine i, given that -9*i**2 + 8*i**2 - i + a*i = 0.
0, 1
Let s(v) be the second derivative of -v**6/80 - 3*v**5/160 + v**4/16 + 20*v. Factor s(k).
-3*k**2*(k - 1)*(k + 2)/8
Factor -4*q + 2*q + 0 - q**2 + 1 - 2.
-(q + 1)**2
Let s(o) be the first derivative of -1/20*o**5 + 0*o**3 - 1 + 1/6*o**4 + 0*o**2 - o. Let f(b) be the first derivative of s(b). Determine q, given that f(q) = 0.
0, 2
Let b = 7699/3 - 2601. Let v = -34 - b. Find a such that 1/3 + 1/3*a**2 + v*a = 0.
-1
Let b be (-2)/(6/(-15)) - 0. Let h(q) be the third derivative of q**2 + 0 - 1/20*q**b - 2/3*q**3 - 1/3*q**4 + 0*q. Factor h(m).
-(m + 2)*(3*m + 2)
Let i(k) be the third derivative of k**7/11340 - k**6/1620 + k**4/24 - 10*k**2. Let b(c) be the second derivative of i(c). What is m in b(m) = 0?
0, 2
Let f(p) be the first derivative of p**5 + 5/2*p**2 + p + 5/2*p**4 + 10/3*p**3 + 1/6*p**6 - 3. Factor f(h).
(h + 1)**5
Let q be (63/(-14))/((-1)/2). Suppose -q*w - 4 = -10*w. Suppose 8/3 + 64/3*b - 54*b**w + 6*b**3 + 18*b**5 + 146/3*b**2 = 0. Calculate b.
-1/3, 2
Let m(k) be the first derivative of -2*k**5/35 + 4*k**4/7 - 32*k**3/21 - 15. Solve m(i) = 0.
0, 4
Let j be 2/(-3) + (-77)/(-3). Let k = -5 + j. Solve k*g**4 - 70*g**4 + 12*g**3 + 14*g**2 - 7*g**5 - 4*g + 35*g**5 = 0.
-1/2, 0, 2/7, 1
Let x(a) = -2*a**3 - 5*a**2 - 4*a + 4. Let f(t) = -3*t**3 - 6*t**2 - 5*t + 5. Let s(j) = -4*f(j) + 5*x(j). Factor s(y).
y**2*(2*y - 1)
Let k(r) = 2*r**2 - 2*r. Let b be k(1). Suppose b = 5*v - v. Factor 2/5*x**3 + 0*x**2 + v*x + 0.
2*x**3/5
Let i(b) be the second derivative of b**10/10080 + b**9/1680 + 3*b**8/2240 + b**7/840 - b**4/6 + 7*b. Let l(h) be the third derivative of i(h). Factor l(p).
3*p**2*(p + 1)**3
Let d(l) = 2*l**3 - 3*l**2 - 5*l + 9. Let r(w) = -6*w**3 + 10*w**2 + 14*w - 26. Let z(f) = -8*d(f) - 3*r(f). Find t, given that z(t) = 0.
-1, 1, 3
Let n be ((-5)/35)/(32/(-112)). Factor -n*x**2 - 1/2 - x.
-(x + 1)**2/2
Suppose 6*l - 10*l = 4. Let o be 8/(-288) + l/(-4). Factor 2/9*x**2 + 0 - o*x**4 - 2/9*x**3 + 2/9*x.
-2*x*(x - 1)*(x + 1)**2/9
Let w(t) be the third derivative of t**8/10080 - t**6/1080 - 5*t**4/24 - 4*t**2. Let v(j) be the second derivative of w(j). Factor v(c).
2*c*(c - 1)*(c + 1)/3
Let s(b) be the first derivative of -1/14*b**4 - 4/21*b**3 - 1/7*b**2 + 0*b - 2. Factor s(f).
-2*f*(f + 1)**2/7
Suppose -2*f - 4 = -5*s + 2*f, 0 = s + 5*f - 24. Factor n**s + n**5 + 3*n**4 - 3*n**4.
n**4*(n + 1)
Suppose -6 = -4*b + 14. Let -8*n**4 - 3*n**5 + n**3 + 4*n**b + 6*n**4 = 0. What is n?
0, 1
Let b be (1 - 1/1) + -3. Let s be b/(2 + -3 + 0). Factor -1/4*g**s + 3/2*g**2 + 2 - 3*g.
-(g - 2)**3/4
Determine z so that -3/4*z**3 - 1/4*z**2 - 1/4*z**4 + 1/2 + 3/4*z = 0.
-2, -1, 1
Let q(f) be the second derivative of 2*f**6/15 + 4*f**5/5 - 2*f**4/3 - 8*f**3 + 18*f**2 - 14*f. Factor q(p).
4*(p - 1)**2*(p + 3)**2
Let p(o) = -o**3 - 24*o**2 + o + 26. Let v be p(-24). Solve 0 + 2/3*k**5 + 4*k**3 - 8/3*k**v + 2/3*k - 8/3*k**4 = 0.
0, 1
Let f be ((-32)/(-12))/(2/3). Let b(j) be the third derivative of 0*j**3 + 0*j + 1/120*j**5 + 3*j**2 - 1/48*j**f + 0. Solve b(i) = 0.
0, 1
Suppose -4*o - 9 = -5*o. Let c = o - 17/2. What is s in -s - c*s**2 - 1/2 = 0?
-1
Let c(g) = -3*g**2 + 13*g. Let u(p) = 2*p**2 - 6*p. Let o(s) = -2*c(s) - 5*u(s). Solve o(z) = 0.
0, 1
Let x(o) = -15*o**5 + 20*o**4 - 15*o**3 + 5*o**2 + 5*o - 5. Let n(v) = v**4 + v**3 - v**2 - v + 1. Let l(h) = -5*n(h) - x(h). Solve l(t) = 0 for t.
0, 2/3, 1
Let a = -90 + 274/3. Factor 20/3*u**2 + 6*u + 2*u**3 + a.
2*(u + 1)*(u + 2)*(3*u + 1)/3
Let o(u) = -3*u + 3. Let f be o(4). Let l(s) = -s**2 - 8*s + 12. Let q be l(f). Suppose -8/5*z**2 + 0 + 0*z + 2*z**4 - 16/5*z**q = 0. Calculate z.
-2/5, 0, 2
Let v(t) be the first derivative of 1/6*t**3 - t - 1/2*t**2 - 1/48*t**4 - 2. Let y(c) be the first derivative of v(c). Factor y(f).
-(f - 2)**2/4
Let c(p) be the third derivative of 0*p - 1/300*p**6 - 1/75*p**5 + 2*p**2 + 0 + 0*p**3 + 0*p**4. Factor c(g).
-2*g**2*(g + 2)/5
Let p(w) be the first derivative of 0*w - 2 + 3/8*w**2 - 1/4*w**3. Factor p(o).
-3*o*(o - 1)/4
Solve 6*k + 36*k**3 - 5*k**2 - 13*k**4 - 2*k**4 - 15*k**2 - 7*k**2 = 0.
0, 2/5, 1
Let z(j) = -j**3 - 2*j**2 + 2*j - 3. Let x(s) = s - 1. Suppose -3 = p - 2. Let u(w) = p*z(w) + 3*x(w). Factor u(b).
b*(b + 1)**2
Let a(q) be the second derivative of -6*q + 0 - 1/6*q**3 + 1/2*q**2 - 5/12*q**4 - 3/20*q**5. Let a(j) = 0. Calculate j.
-1, 1/3
Let l(x) = x**2 - 2*x - 1. Let f(g) = -3*g**2 + 5*g + 3. Let n(c) = 6*f(c) + 15*l(c). Solve n(b) = 0.
-1, 1
Solve 33 + 2*j**4 - 26*j**2 - 24*j - 4*j**3 - 8*j**3 - 4*j**4 - 41 = 0 for j.
-2, -1
Suppose -6*g + 2*g + 12 = 0. Let o(a) be the first derivative of -3/10*a**5 - 1/12*a**6 + 0*a + 0*a**2 - 3/8*a**4 + 1 - 1/6*a**g. Factor o(r).
-r**2*(r + 1)**3/2
Let i = -6 - -12. Let h = i + -3. Factor 1 + h*b**2 - 2 + b + b.
(b + 1)*(3*b - 1)
Factor -1 + 7*f**3 - 127*f**3 - 29*f - 92*f**2 - 50*f**4 - 1 + 5*f.
-2*(f + 1)**2*(5*f + 1)**2
Let p = 7 + -5. Let f be 0/((-1)/p*4). Find z, given that -5/2*z**4 - 8*z**3 + 0 + 25/2*z**5 - 2*z**2 + f*z = 0.
-2/5, 0, 1
Let b(u) be the second derivative of -u**10/15120 + u**9/3780 - u**7/630 + u**6/360 + u**4/4 + 3*u. Let l(r) be the third derivative of b(r). Factor l(a).
-2*a*(a - 1)**3*(a + 1)
Let f(y) be the second derivative of y**7/600 + 2*y**6/225 + 11*y**5/600 + y**4/60 - y**3/6 + 3*y. Let p(t) be 