e o(w) = 0. What is w?
-4, -1, 6
Suppose 3*x = -2*x, 3*x = o. Let q(d) be the second derivative of 7*d - 1/147*d**7 - 1/70*d**5 + 0 + 0*d**2 + o*d**4 + 2/105*d**6 + 0*d**3. Solve q(m) = 0.
0, 1
Let t(c) be the first derivative of 6*c + 2/3*c**3 + 6 - 4*c**2. Solve t(i) = 0 for i.
1, 3
Let k(l) be the third derivative of l**6/270 - 8*l**5/45 + 32*l**4/9 - 5*l**3/2 + 27*l**2. Let j(z) be the first derivative of k(z). Solve j(c) = 0 for c.
8
Let w = -95 + 104. Factor 10*r + w*r**2 - 18*r**3 - 15*r**2 + 38*r**2 - 2*r.
-2*r*(r - 2)*(9*r + 2)
Let r(z) be the first derivative of 5*z**4/12 - 55*z**3/3 + 605*z**2/2 + 26*z + 2. Let k(x) be the first derivative of r(x). Factor k(f).
5*(f - 11)**2
Let s(n) = 4*n - 16. Let q be s(5). Factor 8*r**3 - r + 4*r**4 + 8*r - 15*r - q*r**2.
4*r*(r - 1)*(r + 1)*(r + 2)
Factor 0 - 2*h**2 - 4/5*h - 2/5*h**4 - 8/5*h**3.
-2*h*(h + 1)**2*(h + 2)/5
Let k(c) be the third derivative of -c**7/6300 - c**6/900 - c**4/8 - 10*c**2. Let a(w) be the second derivative of k(w). Factor a(n).
-2*n*(n + 2)/5
Factor -64/3 - 10/3*s**2 + 56/3*s.
-2*(s - 4)*(5*s - 8)/3
Suppose -184 = -5*b + 2*h, -4*h - 64 = -5*b + 3*b. Let r = -75/2 + b. Suppose 0*n - r*n**3 + 1/4*n**2 + 1/4*n**4 + 0 = 0. Calculate n.
0, 1
Let x(b) = -2*b - 20. Let g be x(-12). Let -678 + 8*m**2 + 678 - g*m**3 = 0. Calculate m.
0, 2
Let t(i) be the first derivative of -1/20*i**5 + 18 + 5/8*i**2 - 3/8*i**4 + 3/4*i - 1/6*i**3 + 1/24*i**6. Factor t(b).
(b - 3)*(b - 1)*(b + 1)**3/4
Let q(z) = z**3 - 7*z**2 + 13*z - 14. Let y be q(6). Let w = -28 + y. Factor -2*o**4 + w*o - 8/9*o**5 - 2/9*o**2 - 4/3*o**3 + 0.
-2*o**2*(o + 1)**2*(4*o + 1)/9
Let r(u) = 9*u**4 - 39*u**3 - 33*u**2 + 27*u + 24. Let d(s) = s**4 - s**3 - s**2. Suppose -3*m + 4*m = -12. Let i(b) = m*d(b) + r(b). Factor i(k).
-3*(k - 1)*(k + 1)**2*(k + 8)
Let l(f) = -7*f**3 + 133*f**2 + 276*f + 136. Let n(a) = -2*a**3 + 33*a**2 + 69*a + 34. Let d(y) = 6*l(y) - 22*n(y). Solve d(c) = 0.
-34, -1
Let l = -106 - -81. Let y be (-10)/l*(-5)/(-3). Factor -1/3*q**2 + y*q - 1/3.
-(q - 1)**2/3
Let f(g) be the second derivative of g**4/78 + 37*g**3/39 + 36*g**2/13 + 863*g. Let f(n) = 0. Calculate n.
-36, -1
Let g(i) be the first derivative of -8*i**5/5 + 2*i**4 - i**3 + i**2/4 - 9*i - 4. Let n(w) be the first derivative of g(w). Suppose n(q) = 0. What is q?
1/4
Factor -20*d**3 + 4*d + 55*d**2 + 18*d**4 - 34*d - 23*d**4.
-5*d*(d - 1)**2*(d + 6)
Let h(p) be the third derivative of -p**5/30 + 11*p**4/3 + 15*p**3 - 399*p**2. Factor h(o).
-2*(o - 45)*(o + 1)
Let c be (-5)/(-3)*(-2)/(80/(-42)). Factor 9/4*w - c*w**2 - 1/2.
-(w - 1)*(7*w - 2)/4
Let i(f) = f**3 - 7*f**2 + 4*f + 12. Let p be i(2). Determine o so that 2/9*o**3 + p + 4/9*o**2 - 2/3*o = 0.
-3, 0, 1
Let w be 2*3*1/3. Suppose -2*y + 2 = -d, w*d + 2*d - 3*y - 2 = 0. Let -10*k**2 + 6*k**2 + 9*k + 2*k**3 + 15*k - 8*k**d - 16 = 0. Calculate k.
2
Factor 120*l**4 - 91*l**3 - 1560*l**2 + 181*l**3 + 500*l**3 + 845*l + 5*l**5.
5*l*(l - 1)**2*(l + 13)**2
Find f, given that 3/5 - 33/5*f**4 + 6/5*f**3 + 6*f**2 - 21/5*f + 3*f**5 = 0.
-1, 1/5, 1
Let y be (7/(-2))/((-20)/(-40)) + 0. Let d be (-2)/y + (-31)/(-14). Factor 0*j + 2*j**2 + 4*j**3 + d*j**4 + 1/2*j**5 + 0.
j**2*(j + 1)*(j + 2)**2/2
Let b(w) be the third derivative of 2/15*w**5 + 8/105*w**7 + 0*w**3 + 4*w**2 + 1/84*w**8 + 1/6*w**6 - 3*w + 0 + 0*w**4. Factor b(o).
4*o**2*(o + 1)**2*(o + 2)
Let g be (-404)/(-32) + -11 + (-30)/(-80). Solve -288/11*k - 2/11*k**4 - 194/11*k**g - 128/11 - 36/11*k**3 = 0 for k.
-8, -1
Let z(i) = -i**2 - 9*i + 2. Let k be z(-9). Suppose -5*t - 3*x = 2, k*t = x - 4*x - 8. What is a in 0*a + 3*a + 0*a - 5*a + t*a**3 = 0?
-1, 0, 1
Let h(y) = 7*y**2 - 28*y - 3. Let k(a) = -3*a**2 + 13*a + 2. Let s(u) = -4*h(u) - 9*k(u). Factor s(r).
-(r + 2)*(r + 3)
Let s(o) = o**2 - 16*o + 1. Let k be s(16). Let x be (-12)/16 + (57/12 - k). Factor 0*w + 0 - 8/3*w**2 + 0*w**x + 2/3*w**4.
2*w**2*(w - 2)*(w + 2)/3
Let o(c) be the first derivative of -c**4/10 + c**3/2 - 3*c**2/5 - 2*c/5 - 63. Factor o(i).
-(i - 2)**2*(4*i + 1)/10
Let s(q) = -15*q**2 - 11*q - 53. Let u(a) = -7*a**2 - 6*a - 26. Let r(x) = 6*s(x) - 13*u(x). Factor r(y).
(y + 2)*(y + 10)
Let p = 776 + -770. Let a(u) be the first derivative of -1/4*u**4 + 0*u**5 + 0*u**3 + 8 + 1/6*u**p + 0*u**2 + 0*u. Factor a(i).
i**3*(i - 1)*(i + 1)
Let v be (-69)/(-23) + 3*-1. Solve -k**3 - 5*k**2 + v + 0*k + 5*k - 12*k - 3 = 0.
-3, -1
Let w(n) = 13*n - 71. Let l be w(7). Let p(f) = f + 1. Let o be p(3). Factor -42*s**3 - 3*s**o + l*s**4 - 9*s**4 + 74*s**2 + 8 - 48*s.
2*(s - 2)**2*(s - 1)*(4*s - 1)
Suppose 12*p - 5*p - 14 = 0. Let b be 4/(-8) + (-1)/p - -3. Suppose 0*l - 2/9*l**5 + 2/9*l**3 + 4/9*l**b + 0 - 4/9*l**4 = 0. Calculate l.
-2, -1, 0, 1
Suppose -83*d**2 + 24*d + 162*d**2 - 76*d**2 + 45 = 0. What is d?
-5, -3
Let d be -9*((-17420)/17160 + 2*(-1)/(-11)). Let d*k - 9/2*k**3 - 9 + 12*k**2 = 0. What is k?
-1, 2/3, 3
Let t = 11 + -8. Suppose t*u - 2 = -q + 5*u, 5*u = 0. Suppose -4*b**5 - 32*b + 5 + 4*b**q + 11 - 8*b**4 + 20*b**3 + 4*b**4 = 0. What is b?
-2, 1
Let k(v) = -2*v - 8. Let h be k(-6). Suppose 11 + 25 = h*d. Factor -d*w**2 + w - 12*w**2 + 18*w**2.
-w*(3*w - 1)
Let c = 2755 + -2755. Find r such that c*r - 4/9*r**2 + 0 - 2/9*r**3 = 0.
-2, 0
Find v such that -4/3*v**2 - 1444/3 - 152/3*v = 0.
-19
Let m(l) = -16*l**3 - 243*l**2 + 234*l. Let y(o) = 57*o**3 + 852*o**2 - 819*o. Let z(n) = -18*m(n) - 5*y(n). Factor z(p).
3*p*(p - 1)*(p + 39)
Let s = 8 - 4. Let t = -1 + s. Suppose 2*z**2 - 4*z**2 + 4*z**2 + 4*z**t + 2*z**4 = 0. What is z?
-1, 0
Let n(h) be the first derivative of -h**5/5 - h**4/2 - h**3/3 - 262. Factor n(q).
-q**2*(q + 1)**2
Let c(j) be the second derivative of -j**4/16 + j**3/8 - 35*j. Factor c(m).
-3*m*(m - 1)/4
Determine l, given that 0 + 1/2*l**3 + 121/2*l + 11*l**2 = 0.
-11, 0
Suppose -6*x + r = -4*x - 77, 3*x - 88 = -4*r. Let q = 38 - x. Factor 0 + 4/7*j**q - 2/7*j - 2/7*j**3.
-2*j*(j - 1)**2/7
Factor 0 - 4/5*n - 38/5*n**2.
-2*n*(19*n + 2)/5
Suppose 4*o + 0*o + 12804 = 4*i, i + 3*o - 3205 = 0. Factor 15*b**4 + 5*b**2 + 15*b**3 + i + 5*b**5 - 3202.
5*b**2*(b + 1)**3
Let m = 1276 + -1274. Let n(j) be the second derivative of -5*j + 0 - 1/6*j**3 + 1/12*j**4 + 0*j**m. Solve n(u) = 0.
0, 1
Suppose 273*q + 3*i = 269*q + 29, 2*q - i + 3 = 0. Suppose 2/13*w**3 + 686/13 + 42/13*w**q + 294/13*w = 0. What is w?
-7
Solve 90*f**2 - 135*f**3 - 45*f**4 + 118*f**2 - 343*f**2 - 5*f**5 = 0 for f.
-3, 0
Factor -27*x - 21/2*x**2 + 3/2*x**3 + 0.
3*x*(x - 9)*(x + 2)/2
Let u be 2 + (56/(-40) - 3 - -4). Determine d so that 0 - 12/5*d**3 + 0*d - u*d**5 - 2/5*d**2 - 18/5*d**4 = 0.
-1, -1/4, 0
Let d(i) be the second derivative of -7/27*i**3 - 15*i - 4/9*i**2 + 0 + 1/90*i**5 - 1/27*i**4. Factor d(y).
2*(y - 4)*(y + 1)**2/9
Let c(h) = 4*h**3 - 6*h**2 + 5*h - 3. Let v = -40 - -37. Let w(n) = -9*n**3 + 13*n**2 - 11*n + 7. Let y(t) = v*w(t) - 7*c(t). Factor y(x).
-x*(x - 2)*(x - 1)
Let w be (-3)/6 - 0 - (-15)/6. Let s(v) be the first derivative of 0*v + 3/2*v**2 - w*v**3 + 3/4*v**4 - 5. Determine k so that s(k) = 0.
0, 1
Let v(m) = -3 + 1 + m - 5 - 2. Let l be v(11). Determine c so that 15*c - 6 + 7*c**2 + 0*c**2 + 0*c**l - 15*c**3 - c**2 = 0.
-1, 2/5, 1
Let u(m) be the second derivative of 0*m**2 + 12*m + 0*m**3 - 1/20*m**5 + 0 - 1/18*m**4. Factor u(p).
-p**2*(3*p + 2)/3
Let n(c) be the second derivative of c**6/10 + 21*c**5/20 + 4*c**4 + 6*c**3 - 8*c + 2. Factor n(w).
3*w*(w + 2)**2*(w + 3)
Let b(l) = -l**2 - l. Let z(i) = -i**3 + 4*i**2 + 13*i - 8. Let x be z(6). Let r(o) = 5*o**2 + 13*o. Let h(f) = x*r(f) - 6*b(f). Factor h(v).
-4*v*(v + 5)
Let y(m) be the third derivative of 0*m - 1/5*m**5 + 0*m**6 + 0*m**3 - 40*m**2 + 0 + 2/105*m**7 - 1/3*m**4. Solve y(g) = 0.
-1, 0, 2
Factor 36*s**2 + 4 + 120*s + 4 - 208*s + 132*s.
4*(s + 1)*(9*s + 2)
Suppose 0 = -4*u + 20, v + 22 = 2*v + 4*u. Suppose 3*z - 7 = 8. Solve k**2 - 4*k**4 - 10*k**5 - 4*k**z + k**v + 14*k**3 + 2*k**2 = 0.
-1, -2/7, 0, 1
Let x(l) = -3*l**5 - 19*l**4 + 90*l**3 - 101*l**2 + 43*l + 5. Let z(g) = -g**4 + g**2 - 2*g - 1. Let a(j) = -x(j) - 5*z(j). What is f in a(f) = 0?
-11, 0, 1
Factor 24/5*h + 27/5*h**2 + 0 + 3/5*h**3.
3*h*(h + 1)*(h + 8)/5
Let w(h) = -57*h**2 - 25*h + 8. Let r(p) = 7*p**2 - 1. Let v(b) = 4*r(b) + w(b).