**2 - 6/5*o**4 + 0*o = 0. Calculate o.
0, 1
Let g(i) be the second derivative of 2/3*i**3 + 0 + 1/3*i**4 + 0*i**2 + 1/20*i**5 + 10*i. Suppose g(k) = 0. Calculate k.
-2, 0
Let r(o) be the third derivative of -o**5/20 - o**4/4 + 4*o**2. Factor r(p).
-3*p*(p + 2)
Let t(p) = 7*p**4 + 7*p**3 - 5*p - 5. Let o(a) = 6*a**4 + 6*a**3 - 4*a - 4. Let d(x) = 5*o(x) - 4*t(x). Factor d(s).
2*s**3*(s + 1)
Let k(w) be the third derivative of w**5/15 - 4*w**4/3 + 32*w**3/3 - 6*w**2. Determine u so that k(u) = 0.
4
Let y = 275 + -271. Suppose 1/3*k**4 + 4/3 + 13/3*k**2 - y*k - 2*k**3 = 0. Calculate k.
1, 2
Let m(q) be the second derivative of -q**5/5 - 2*q**4/3 - 2*q**3/3 - 7*q. Suppose m(s) = 0. What is s?
-1, 0
Solve 1/3*i**2 + 0 + 2/3*i - 1/3*i**3 = 0 for i.
-1, 0, 2
Let s = 24 + -12. Suppose 8*c**2 + 46*c**2 + 20*c - 60*c**4 - 59*c + 6 + s*c**3 + 27*c**5 = 0. What is c?
-1, 2/9, 1
Let u(c) be the first derivative of 4 - 9*c**5 + 0*c - 4/3*c**3 + 6*c**4 + 0*c**2 + 25/6*c**6. Solve u(x) = 0 for x.
0, 2/5, 1
Let o be 28/24 - (1/(-6) - 0). Let o + 2*u + 2/3*u**2 = 0. What is u?
-2, -1
Suppose 0 = 5*u - 10*u. Suppose -3 = -r - u*r. Factor -2*j**3 - 7*j**r + 8*j**4 + 3*j**3 - 2*j**2.
2*j**2*(j - 1)*(4*j + 1)
Let f = -176/3 + 59. Let z = -617/6 - -104. Solve 0 + z*p**2 + f*p = 0 for p.
-2/7, 0
Let z(f) = -14*f**2 + 6*f - 8. Let b(d) = 5*d**2 - 2*d + 3. Let p(r) = -8*b(r) - 3*z(r). Find v such that p(v) = 0.
0, 1
Let b be 2/4*(6 + (-2 - 0)). Factor -2/11 - 6/11*q + 8/11*q**b.
2*(q - 1)*(4*q + 1)/11
Let v(f) be the third derivative of f**7/945 + f**6/540 - f**5/270 - f**4/108 + 6*f**2. Factor v(w).
2*w*(w - 1)*(w + 1)**2/9
Let v(l) be the second derivative of 1/168*l**7 + 1/60*l**6 + 0*l**2 - 1/24*l**3 - 1/24*l**4 - 2*l + 0 + 0*l**5. Find t such that v(t) = 0.
-1, 0, 1
Let j(g) be the first derivative of -g**5/20 - g**4/4 - g**3/2 + g**2 - 1. Let h(w) be the second derivative of j(w). Solve h(y) = 0.
-1
Let a(i) be the second derivative of i**5/40 + 3*i**4/16 + i**3/2 + i**2 - i. Let h(q) be the first derivative of a(q). Factor h(s).
3*(s + 1)*(s + 2)/2
Let p(f) be the first derivative of -f**7/1260 + f**6/540 + f**5/180 - f**4/36 + f**3 + 1. Let j(q) be the third derivative of p(q). Factor j(s).
-2*(s - 1)**2*(s + 1)/3
Let b be 0/(-9)*3/6. Let g(d) be the third derivative of -1/16*d**4 + 1/12*d**3 + d**2 - 1/240*d**6 + 1/40*d**5 + 0*d + b. Let g(i) = 0. Calculate i.
1
Let l(u) be the third derivative of -1/56*u**7 + 4*u**2 + 7/80*u**5 + 3/160*u**6 - 3/32*u**4 - 1/4*u**3 + 0 + 0*u. What is k in l(k) = 0?
-1, -2/5, 1
Suppose 0 = 3*f + 12 + 3. Let o(w) = 2*w**2 - 10*w - 4. Let n(k) = -3*k**2 + 11*k + 4. Let i(j) = f*o(j) - 4*n(j). Suppose i(t) = 0. Calculate t.
-2, -1
Let g(t) = -7*t**2 - 6*t - 7. Let s(o) = 13*o**2 + 12*o + 13. Let f(a) = -7*g(a) - 4*s(a). Find v, given that f(v) = 0.
-1
Let i(o) be the first derivative of -o**3/18 + o**2/12 - 7. What is p in i(p) = 0?
0, 1
Let z(a) be the third derivative of -a**2 - 1/24*a**4 + 0 + 0*a - 1/30*a**5 - 1/120*a**6 + 0*a**3. Factor z(k).
-k*(k + 1)**2
Let u(w) = -4*w**2 + 13*w + 2. Let v be u(3). Let q(h) be the third derivative of 0 + 0*h - 4*h**2 + 1/90*h**v + 0*h**4 - 1/9*h**3. Factor q(b).
2*(b - 1)*(b + 1)/3
Let k = 361/4 + -90. Factor -1/4*c**2 - 1/4*c**3 + 1/4*c + k.
-(c - 1)*(c + 1)**2/4
Let u be 33/15 + (-2)/10. Let t be -2 + (-2 + 5 - -2) + 0. Factor 0*h + 2/5*h**u + 2/5*h**4 + 0 - 4/5*h**t.
2*h**2*(h - 1)**2/5
Let a(m) be the third derivative of 1/180*m**6 + 1/9*m**4 + 0*m + 0*m**3 + 0 - 10*m**2 + 2/45*m**5. Let a(v) = 0. What is v?
-2, 0
Factor -2100*d**3 - 31 + 140*d - 44*d**2 - 69 + 2104*d**3.
4*(d - 5)**2*(d - 1)
Let p = -79/6 + 27/2. Let z(a) be the second derivative of 0 + 0*a**2 - a - 1/10*a**5 - p*a**4 - 1/3*a**3. Factor z(y).
-2*y*(y + 1)**2
Let g be 3 - ((-8)/(-4) - 1). Factor 3/4*p**g - 3/4 - 3/4*p + 3/4*p**3.
3*(p - 1)*(p + 1)**2/4
Let v be ((-15)/55)/(27/(-8520)). Let b = v - 256/3. Factor b + 2/11*n**2 + 8/11*n.
2*(n + 2)**2/11
Let m be 2 - 7 - 0/(-1). Let o = -1 - m. Solve -1/2 + 3*d**2 - 7*d**3 + 11/2*d**o - 3/2*d**5 + 1/2*d = 0.
-1/3, 1
Let t be 3 + -1 + (-3 + 5 - 2). Suppose 2/5*z**4 + 0*z**t + 2/5*z**5 - 4/5*z**3 + 0 + 0*z = 0. What is z?
-2, 0, 1
Let d be 2 - (4/(-1) - -6). Let z(y) be the first derivative of 2/15*y**3 + 2/25*y**5 + d*y**2 + 0*y + 3 - 1/5*y**4. Factor z(b).
2*b**2*(b - 1)**2/5
Let a(f) = f - 27. Let y be a(21). Let p be (-4)/(-1) + y/3. Factor -2/7*m + 2/7*m**p + 2/7*m**3 - 2/7.
2*(m - 1)*(m + 1)**2/7
Let v(u) = 4*u**2 + 6*u - 3. Let c(a) be the second derivative of a**4/12 + a**3/3 - a**2/2 + 2*a. Let f(z) = 7*c(z) - 2*v(z). Let f(l) = 0. What is l?
1
Let q(b) = b**3 - 4*b**2 + 3*b - 3. Let k be q(4). Suppose -2*y + y = -k. Let 4*f**4 - f**4 - 3*f**2 - y*f**3 + 5*f + 2*f**5 + 4*f**5 - 2*f = 0. What is f?
-1, 0, 1/2, 1
Let y(x) = -2*x**2 + 2*x + 8. Let f(v) = 16 + 2*v + 2*v + 0*v - 4*v**2 + v. Let c(s) = -2*f(s) + 5*y(s). Factor c(n).
-2*(n - 2)*(n + 2)
Suppose 2/11 + 2/11*f**4 + 0*f + 0*f**3 - 4/11*f**2 = 0. Calculate f.
-1, 1
Let w(i) = -i**2 - 4*i + 7. Let x be w(-5). Suppose x*b = -2*b. Solve 2 + 3*v**2 - 4*v**2 + b*v**2 + 2*v**2 + 3*v = 0 for v.
-2, -1
Let w = -4 + 13. Determine v, given that 3 - 6 + 3 + 6*v**2 - w*v**3 = 0.
0, 2/3
Let w be 108/(2*(-9)/(-24)). Let m = w - 569/4. Factor 4*x**2 - m*x**3 - 11/4*x + 1/2.
-(x - 1)**2*(7*x - 2)/4
Let w = 328/133 - 36/19. Factor -w*z + 2/7*z**2 + 0.
2*z*(z - 2)/7
Let n be (-6)/(-8)*1*4. Let c be n/(((-225)/(-6))/5). Factor -4/5 + 4/5*a**2 + c*a**3 - 2/5*a.
2*(a - 1)*(a + 1)*(a + 2)/5
Let c(n) = n**3 - 9*n**2 - 9*n - 10. Let m(k) = k**2 + 2*k - 5. Let w be m(-5). Let u be c(w). Determine v, given that u + 0*v**2 + 0*v - 1/5*v**3 = 0.
0
Factor -4/7 - 6/7*x - 2/7*x**2.
-2*(x + 1)*(x + 2)/7
Let f(g) = 8*g**2 - 4*g - 4. Let m(w) = -17*w**2 + 8*w + 9. Let b(q) = 13*f(q) + 6*m(q). Factor b(j).
2*(j - 1)**2
Let x = 3 + 0. Suppose -r - 2*r = 0. Find y, given that 2/5*y**4 + 2/5*y**5 + 0*y**2 + 0 + 0*y**x + r*y = 0.
-1, 0
Let z(d) = -1 - 5*d - 4 + 4*d. Let s be z(-7). Suppose -s*j**4 - 4*j**2 - 2*j**2 + 2*j + 6*j**3 + 0*j = 0. Calculate j.
0, 1
Let t(l) be the second derivative of 1/3*l**2 + 1/6*l**4 + 0 - 1/30*l**5 - 1/3*l**3 - 4*l. Determine j, given that t(j) = 0.
1
Suppose o - 3*o + 4*l = -20, -8 = 4*o + 4*l. Let y = 0 + o. Solve -2*b**2 + 3*b**y + 1 - 3*b**3 - 6*b**2 - b = 0.
-1, 1/3
Let x(z) = -z**2 - 12*z + 7. Let m be x(-11). Suppose 3*u = j + 5, -u + 7 = j - 0. Find n, given that 10*n**3 + 6*n - j*n + 14*n**2 + m*n**3 + 16*n**4 = 0.
-1, -1/2, -1/4, 0
Let u(x) = 2*x**3 + 6*x**2 + 5*x + 3. Suppose 5*i = 2*i - 6. Let h(b) = -b + 1. Let d(a) = i*h(a) + 2*u(a). Factor d(l).
4*(l + 1)**3
Suppose 3*h + h = 8. Suppose h*d = -0 + 4. Factor -2 - d*p**2 - 4*p + 2.
-2*p*(p + 2)
Let f(z) = 7*z - 9. Let l be f(7). What is g in l*g**2 - 2*g**3 - 38*g**2 + g + 3*g**3 = 0?
-1, 0
Let p(q) be the first derivative of -3*q**8/560 - q**7/28 - 37*q**6/360 - q**5/6 - q**4/6 + q**3/3 + 8. Let a(y) be the third derivative of p(y). Factor a(f).
-(f + 1)**2*(3*f + 2)**2
Let m(s) = -7*s**2 + 5*s - 5. Let t(i) = 10*i**2 - 7*i + 7. Let x(z) = -7*m(z) - 5*t(z). Suppose x(k) = 0. Calculate k.
0
Let p(l) = -2*l + 10. Let a be p(3). Solve 0*u + 2/3*u**a + 2/3*u**3 + 0 + 0*u**2 = 0.
-1, 0
Let f(c) be the third derivative of 2*c**7/105 + c**6/30 + 10*c**2. Find a such that f(a) = 0.
-1, 0
Let j(m) = -39*m**2 - 255*m. Let k(f) = -11*f**2 - 73*f. Let y(u) = -5*j(u) + 18*k(u). Factor y(i).
-3*i*(i + 13)
Factor -34*z + 54*z - 72*z**2 + 12*z**3 + 8*z**2.
4*z*(z - 5)*(3*z - 1)
Factor -21/2*l**2 - 9*l + 9/2*l**3 + 0.
3*l*(l - 3)*(3*l + 2)/2
Let c = -14/65 + 36/143. Let p(k) be the first derivative of c*k**5 + 0*k**3 - 2/11*k + 1/11*k**4 - 2/11*k**2 + 3. Let p(d) = 0. Calculate d.
-1, 1
Let k(m) = m**2 - 7*m + 5. Let o be k(7). What is p in -1/2*p**5 + 5*p**2 - o*p**3 + 1/2 + 5/2*p**4 - 5/2*p = 0?
1
Let 0*m**3 - 4/7*m**4 + 4/7*m**2 + 0 - 2/7*m**5 + 2/7*m = 0. What is m?
-1, 0, 1
Let w be 7/(-12) + (-9)/(-12). Let v(n) be the third derivative of 1/30*n**5 + w*n**4 + 0 + n**2 + 0*n + 1/3*n**3. Find a such that v(a) = 0.
-1
Let l(m) = m**4 - m**3 + m**2 - m. Let i(f) = 10*f**4 - 30*f**3 + 34*f**2 - 16*f + 2. Let v be 1*(0 - 1)*1. Let p(b) = v*l(b) + i(b). Factor p(j).
(