hat is p?
-2, 2/5
Let v(f) = -13*f**3 + 12*f**2 + 3*f - 2. Let n = -10 + 14. Let o(z) = -51*z**3 + 48*z**2 + 12*z - 9. Let y(q) = n*o(q) - 15*v(q). Factor y(k).
-3*(k - 1)**2*(3*k + 2)
Factor -4 + 12*v - 2*v + 52*v**2 + 2*v - 45*v**2.
(v + 2)*(7*v - 2)
Let n(t) be the first derivative of t**7/840 - t**6/360 - t**3/3 + 3. Let a(c) be the third derivative of n(c). Factor a(v).
v**2*(v - 1)
Let z(g) be the second derivative of g**6/45 - g**5/6 + g**4/3 + 4*g**3/9 - 8*g**2/3 + 3*g. Factor z(y).
2*(y - 2)**3*(y + 1)/3
Solve 0*c + 4/5*c**4 - 2/5*c**5 + 0 + 6/5*c**3 + 0*c**2 = 0.
-1, 0, 3
Let a(c) be the first derivative of -c**3/7 + 9*c**2/14 - 6*c/7 - 4. Factor a(s).
-3*(s - 2)*(s - 1)/7
Find p such that -2/15*p**5 - 4/15*p**4 + 4/15*p**2 + 8/15*p**3 + 0 - 2/5*p = 0.
-3, -1, 0, 1
Let c(s) = -109*s - 5. Let k be c(3). Let m = k - -4318/13. Solve -m*r + 4/13*r**2 - 4/13 + 2/13*r**3 = 0.
-2, -1, 1
Suppose 0 = 4*q - 50 + 18. Suppose -13*h + q*h = 0. Determine u, given that 1/5*u**2 + h - 1/5*u = 0.
0, 1
Let d(l) be the third derivative of l**8/84 + 2*l**7/105 - 5*l**2. Factor d(q).
4*q**4*(q + 1)
Let d = 27/17 + -1603/1020. Let m(w) be the third derivative of 0*w**3 + 0*w**4 + 0*w + d*w**6 + 1/30*w**5 + 0 + 4*w**2. Factor m(k).
2*k**2*(k + 1)
Let d be (-1064)/126*1/4 + 3. Let x(g) be the first derivative of 2 - 14/27*g**3 + 16/9*g**2 - d*g. Factor x(o).
-2*(o - 2)*(7*o - 2)/9
Suppose 0 = -6*w + 3 + 9. Suppose -3 - 25/3*n**w + 10*n = 0. Calculate n.
3/5
Factor 6*q**2 + 3*q + 0*q - 3*q**3 + 0*q**2 - 6*q.
-3*q*(q - 1)**2
Let o(x) be the first derivative of x**6/15 - x**4/10 + 1. Factor o(f).
2*f**3*(f - 1)*(f + 1)/5
Let y(p) be the third derivative of -1/1155*p**7 + 0*p**6 + 0 + 1/330*p**5 + 0*p + 0*p**3 - 2*p**2 + 0*p**4. Factor y(b).
-2*b**2*(b - 1)*(b + 1)/11
Let z = -7 - -9. Let m(s) be the third derivative of 0*s**3 + 1/12*s**4 + 0 + 0*s - 1/30*s**5 + 2*s**z. Find r such that m(r) = 0.
0, 1
Let j be 4/(-1) - (-418)/95. Let -8/5*x**3 - 12/5*x**2 - j*x**4 - 8/5*x - 2/5 = 0. Calculate x.
-1
Let r be 2/(-7) - 48/28. Let n be 14/1 - (-2 - r). Determine m, given that 32*m**4 - 18*m**5 - n*m**2 - 4 + 4*m**5 - 14*m**2 - 8*m**3 + 22*m = 0.
-1, 2/7, 1
Let l(k) be the second derivative of 1/27*k**3 + 0 + 0*k**2 + 1/90*k**5 - 1/27*k**4 - 5*k. What is i in l(i) = 0?
0, 1
Let x(s) = 6*s**2 - s - 5. Let f(y) = -7*y**2 + y + 6. Let n(l) = 4*f(l) + 5*x(l). Let g be n(-1). Factor -g*b + 2*b - 2*b**5.
-2*b**5
Find s such that -2 - 4*s - 16*s**3 + 3*s + 2*s**2 + 17*s**3 = 0.
-2, -1, 1
Let g(f) = f**2 - 8*f + 17. Let s be g(5). Let d(u) be the first derivative of -1/9*u**3 - 3 + 1/6*u**s + 0*u. Factor d(k).
-k*(k - 1)/3
Suppose 0 = 5*f - f - 144. Solve -f*i**2 - 3*i**5 + 5 + 6*i**3 - i + 30*i**2 - 2 - 2*i + 3*i**4 = 0.
-1, 1
Let f(y) be the third derivative of y**5/420 + y**4/84 + y**3/42 - 6*y**2. Factor f(p).
(p + 1)**2/7
Let z be (-1235)/(-9) - 6/27. Let j = z + -541/4. Factor 0*q**2 - 1/2*q**3 + 0*q + j*q**4 + 0 - 5/4*q**5.
-q**3*(q - 1)*(5*q - 2)/4
Factor -3*c**2 + 5*c**2 - 5*c**2 + 3.
-3*(c - 1)*(c + 1)
Let v(a) = -96*a**4 - 76*a**3 + 20*a**2 - 16. Let l(q) = -19*q**4 - 15*q**3 + 4*q**2 - 3. Let z(d) = 16*l(d) - 3*v(d). Factor z(y).
-4*y**2*(y + 1)*(4*y - 1)
Let d = 470 + -470. Factor 0 + d*v - 1/2*v**3 + v**2 + 1/2*v**5 - v**4.
v**2*(v - 2)*(v - 1)*(v + 1)/2
Factor 0*o + 4/7*o**2 + 0.
4*o**2/7
Find c such that -4*c**3 - 16*c - 48/5 + 92/5*c**2 = 0.
-2/5, 2, 3
Let g(o) be the third derivative of 0*o**3 - 2*o**2 + 0 + 1/420*o**7 + 0*o - 1/240*o**6 - 1/120*o**5 + 1/48*o**4. Determine m, given that g(m) = 0.
-1, 0, 1
Suppose 0 = f - 0*f + 2, -f - 5 = -3*s. Factor -5/2*q**2 + s - 1/2*q**3 + 3/2*q**4 + 1/2*q.
(q - 1)**2*(q + 1)*(3*q + 2)/2
Let z(v) be the third derivative of -v**6/120 + v**5/12 - v**4/6 - 34*v**2. What is p in z(p) = 0?
0, 1, 4
Let j(s) be the second derivative of s**6/600 + s**5/50 + s**4/10 + 4*s**3/15 + 2*s**2 + 7*s. Let n(h) be the first derivative of j(h). Factor n(l).
(l + 2)**3/5
Let g = 27 - 15. Solve 5*t**4 - g*t**2 + t + 7*t + 0*t**4 - t**4 = 0 for t.
-2, 0, 1
Suppose -4*y + 0*k - 4 = -2*k, -2*y - 4*k - 12 = 0. Let s = 3 - y. Factor -2 - s*c**2 + c**2 + 2*c + 2*c**2 + 6.
-2*(c - 2)*(c + 1)
Let l(j) = -j - 6. Let k be l(-9). Find t, given that -11*t**4 - 19*t + 4*t - 7*t**3 - 23*t**3 - 4*t**4 - 3*t**5 - 30*t**2 - k = 0.
-1
Let x(j) be the second derivative of j**6/40 - j**5/16 - j**4/48 + 5*j**3/24 - j**2/4 - 8*j. Factor x(u).
(u - 1)**2*(u + 1)*(3*u - 2)/4
Let r(q) = q**3 - 4*q**2 + 3. Let c be r(4). Suppose -z = -c - 5. Determine s, given that z*s**2 + 4*s + 4 + 9*s + 5*s = 0.
-2, -1/4
Suppose -f = 1 - 3. Suppose d**4 - 5*d**5 + 2*d**4 + f*d**5 = 0. What is d?
0, 1
Let i(b) = b - 5. Let y be i(7). Let t(c) = c**2 + c. Let p(o) = 12*o**3 + 10*o**2 + o. Let x(z) = y*t(z) + 2*p(z). Factor x(g).
2*g*(3*g + 2)*(4*g + 1)
Let k be (-3 - 14/(-4))*6. Factor 5*j - 14*j + j**k + 6 + 2*j**3.
3*(j - 1)**2*(j + 2)
Let j be (-2)/(-2)*(-3)/(-9)*1. Factor j + 0*f - 1/3*f**2.
-(f - 1)*(f + 1)/3
Let p(b) be the first derivative of b**6 - 4*b**5/5 - 9*b**4 - 8*b**3 + 7*b**2 + 12*b - 37. Factor p(a).
2*(a - 3)*(a + 1)**3*(3*a - 2)
Let x(b) be the second derivative of -b**6/345 + b**4/23 + 8*b**3/69 + 3*b**2/23 - b + 27. Factor x(o).
-2*(o - 3)*(o + 1)**3/23
Let v be 17/(-5)*(-1 - 1). Suppose -51*n + 48*n = -15. Factor -18/5*q**n - v*q - 124/5*q**3 - 96/5*q**2 - 76/5*q**4 - 4/5.
-2*(q + 1)**4*(9*q + 2)/5
Let j(b) be the first derivative of 2*b - 4*b**3 - 2 - 3*b - b**5 - b**4 + 3*b**2 - b**2 + 6*b**3. Factor j(a).
-(a - 1)*(a + 1)**2*(5*a - 1)
Factor 2*l**3 + l**3 - 3*l**2 - 3*l**2.
3*l**2*(l - 2)
Determine k so that 0 + 3/2*k**2 - 3*k = 0.
0, 2
Let z(f) = -f**3 + 7*f**2 - 7*f - 3. Let t be z(6). Let m be (-16)/(-6)*t/(-6). Solve -3*b**2 + 5*b**3 + m*b**3 - 9*b**4 + 21*b**5 - 18*b**5 = 0.
0, 1
Let i(z) = z**4 - z**3 - z**2 - z + 1. Let g(r) = 20*r**4 - 26*r**3 - 24*r**2 - 22*r + 22. Let m(k) = -2*g(k) + 44*i(k). Factor m(j).
4*j**2*(j + 1)**2
Let m = 42 + -2. Suppose 5*j - 21 = w, 4*w - 1 - m = -5*j. Solve -4*n**2 - 10*n**5 - 2*n**3 + 8 + 16*n**w - 8 = 0.
-2/5, 0, 1
Let a(f) be the third derivative of f**7/735 + f**6/60 + 3*f**5/70 - 9*f**4/28 - 18*f**3/7 + 2*f**2 + 3. Let a(i) = 0. Calculate i.
-3, 2
Let m(b) be the second derivative of b**8/7560 + b**3 - 2*b. Let l(v) be the second derivative of m(v). Factor l(q).
2*q**4/9
Let p(m) be the second derivative of m**5/120 + m**4/24 - m**3/9 - 31*m. Factor p(o).
o*(o - 1)*(o + 4)/6
Let u be 3*8/(-6) - -7. Factor -u*b - 3/5 - 21/5*b**2 - 9/5*b**3.
-3*(b + 1)**2*(3*b + 1)/5
Let x(s) be the third derivative of 1/300*s**6 + 0 + 0*s**3 + 0*s + 3*s**2 + 0*s**4 + 1/75*s**5. Factor x(i).
2*i**2*(i + 2)/5
Let v(h) = 2*h**2 + h + 3. Let u(d) = -2*d**2 + 1 - 3 + 2*d**2 - 2*d**2. Let x(f) = -3*u(f) - 2*v(f). Determine l so that x(l) = 0.
0, 1
Let -1/2 + 1/4*r**2 + 1/4*r = 0. What is r?
-2, 1
Let k be 6/(-18)*6/(-5). Factor 0*b**2 + 4/5 - k*b**3 + 6/5*b.
-2*(b - 2)*(b + 1)**2/5
Let o(x) be the first derivative of -2*x**5/75 + 2*x**3/45 - 6. Factor o(n).
-2*n**2*(n - 1)*(n + 1)/15
Find w such that 3/4*w**5 + 3/4*w**2 + 9/4*w**4 + 0*w + 9/4*w**3 + 0 = 0.
-1, 0
Factor 4/5*s + 0 + 4/5*s**3 - 8/5*s**2.
4*s*(s - 1)**2/5
Let h(b) be the second derivative of -b + 1/2*b**2 - 1/12*b**4 + 1/6*b**3 + 0. Let k(f) = -2*f - 1. Let l(w) = 2*h(w) + 2*k(w). Factor l(c).
-2*c*(c + 1)
Suppose 8*a - 5 = 11. Factor -1/2*h**a - 1/2 + h.
-(h - 1)**2/2
Let z(l) be the third derivative of 1/30*l**5 + 0*l**4 - 3*l**2 + 0*l + 0*l**3 + 0 - 1/20*l**6 + 2/105*l**7. Let z(r) = 0. What is r?
0, 1/2, 1
Let j(n) be the second derivative of -n**4/6 + n**3/3 - n**2 + n. Let y(g) = g + 6*g**3 + 0*g - 1 - 5*g**3. Let q(b) = -j(b) + 2*y(b). Factor q(i).
2*i**2*(i + 1)
Let d(a) be the third derivative of 0*a**3 - 1/840*a**8 + 0 + 4/525*a**7 - 1/50*a**6 + 2/75*a**5 - 1/60*a**4 + 0*a + a**2. Find h such that d(h) = 0.
0, 1
Suppose 5 = 4*b - 15. Suppose b*y = 5 + 5. Suppose v**y - 7*v - 2 - 3*v**2 + 3*v = 0. Calculate v.
-1
Let s = 73/90 + -7/10. Let x(b) be the first derivative of -1/6*b**2 + 1/12*b**4 - 3 + s*b**3 - 1/3*b. Suppose x(k) = 0. Calculate k.
-1, 1
Suppose 2*j = -j + 15. Find m such that 0*m**4 + j*m**3 - 2*m**4 + 2*m**2 - 4*m**3 - m**5 = 0.
-2, -1, 0, 1
