 Let x(i) be the second derivative of p(i). Factor x(k).
-2*(k - 3)*(k + 2)**2/7
Let t be ((-6)/78)/((-18)/39). Let k(f) be the second derivative of 9*f + 0*f**2 + 0*f**3 + 0 - t*f**4. Suppose k(a) = 0. What is a?
0
Suppose -16 = -4*j + 16. Let t(a) be the first derivative of 4*a - 1/2*a**4 - 4/3*a**3 - j + a**2. Factor t(p).
-2*(p - 1)*(p + 1)*(p + 2)
Let t(x) be the second derivative of x**6/40 + 51*x**5/80 - 57*x**4/16 + 59*x**3/8 - 15*x**2/2 + 128*x. Factor t(z).
3*(z - 1)**3*(z + 20)/4
Determine i so that 75*i + 2*i**2 - 8 - 65*i - 4*i**2 = 0.
1, 4
Suppose n - 3*n = -4. Suppose -2*j**n + 4*j + 14 + 0*j**2 - 8 = 0. Calculate j.
-1, 3
Let p = 17999/2343 + -12/781. Solve p*x**2 + 0 - 2*x - 7/3*x**3 = 0 for x.
0, 2/7, 3
Let c(n) be the second derivative of -1/3*n**4 - 3/20*n**5 + 0*n**2 - 9*n + 1/42*n**7 - 2/9*n**3 + 0 + 1/45*n**6. Solve c(v) = 0.
-1, -2/3, 0, 2
Let i(c) be the second derivative of -c**4/4 + 4*c**3 - 21*c**2/2 + c - 3. Find d, given that i(d) = 0.
1, 7
Let j(b) be the first derivative of -17*b**3 - 12*b - 9/10*b**5 + 21*b**2 + 42 + 51/8*b**4. Determine t, given that j(t) = 0.
2/3, 1, 2
Let v(s) = 3*s**3 - 66*s**2 - 81*s + 168. Let m(y) = -8*y**3 + 197*y**2 + 246*y - 503. Let d(k) = -6*m(k) - 17*v(k). Factor d(w).
-3*(w - 1)*(w + 3)*(w + 18)
Let r(j) = -15*j**2 - j. Let i be r(1). Let k = -14 - i. Let q(p) = p**2 - 12. Let d(z) = -12. Let y(f) = k*d(f) - 3*q(f). Factor y(m).
-3*(m - 2)*(m + 2)
Suppose -11*a - 454 = -487. Factor 0 + 0*x - 1/2*x**a - 1/4*x**4 + 3/4*x**2.
-x**2*(x - 1)*(x + 3)/4
Let h(p) be the third derivative of -2/105*p**5 - 1/588*p**8 + 0*p**3 + 0*p**4 + 0*p**7 + 0 + 1/70*p**6 - 2*p**2 + 0*p. Factor h(l).
-4*l**2*(l - 1)**2*(l + 2)/7
Let a be 2 + (-21)/2*(-7)/14 - 7. Factor -1/8*v**2 + 0 + 1/8*v**4 - 1/4*v + a*v**3.
v*(v - 1)*(v + 1)*(v + 2)/8
Factor 2/7*j**2 + 10/21*j**3 + 0 - 4/21*j.
2*j*(j + 1)*(5*j - 2)/21
Let j be 4/6 + -1 - 26/(-78). Solve -1/3*s**3 + j + 1/3*s**4 + 1/3*s - 1/3*s**2 = 0.
-1, 0, 1
Let q(n) be the second derivative of 5/12*n**3 - 20*n + 0 + 1/6*n**4 - 1/2*n**2 - 3/40*n**5. Determine u so that q(u) = 0.
-1, 1/3, 2
Let c(a) = 25*a**4 - 25*a**3 - 25*a**2 - 35*a + 30. Let x(g) = -g**4 + g**3 + g**2 + g - 1. Let h(z) = c(z) + 30*x(z). Let h(n) = 0. What is n?
-1, 0, 1
Let k(t) be the third derivative of 7*t**6/120 + 11*t**5/20 + 4*t**4/3 - 2*t**3 + 4*t**2. Factor k(c).
(c + 2)*(c + 3)*(7*c - 2)
Let z(l) be the second derivative of -l**4/42 + 116*l**3/21 - 3364*l**2/7 - 6*l + 10. Factor z(p).
-2*(p - 58)**2/7
Suppose -3*z - 3*t = -7*z + 52, -3*z = 5*t - 10. Factor z*a**3 + 0 + 2/3*a**2 - 4/3*a + 38/3*a**4 + 14/3*a**5.
2*a*(a + 1)**3*(7*a - 2)/3
Let l(j) be the first derivative of -1/11*j**2 - 2/33*j**3 + 4/11*j + 24. Factor l(y).
-2*(y - 1)*(y + 2)/11
What is t in -19600/3 - 4/3*t**2 + 560/3*t = 0?
70
Let c = -259 + 3109/12. Let w(i) be the second derivative of 0*i**2 - 1/6*i**3 + 3*i + c*i**4 + 0. Factor w(p).
p*(p - 1)
Let y(p) be the first derivative of -p + 1. Let c(t) = -t**4 - 2*t**3 + t**2 + 2*t + 5. Let j(v) = -c(v) - 5*y(v). Factor j(u).
u*(u - 1)*(u + 1)*(u + 2)
Let c(m) be the first derivative of 4/3*m**3 + 3*m**2 + 3 - 1/3*m**6 - m**4 - 6/5*m**5 + 2*m. Factor c(l).
-2*(l - 1)*(l + 1)**4
Let t(x) = 2*x**3 + 27*x**2 + 4*x + 2. Let a(f) = -7*f**3 - 109*f**2 - 15*f - 9. Let p(v) = -4*a(v) - 18*t(v). Factor p(j).
-2*j*(j + 6)*(4*j + 1)
Let b(z) be the first derivative of -1/26*z**4 - 15 + 0*z - 1/39*z**6 - 4/65*z**5 + 0*z**2 + 0*z**3. Find y such that b(y) = 0.
-1, 0
Let m be (-21)/((-1764)/(-24)) + 4/14. Let b(y) be the third derivative of -3*y**2 + 1/240*y**5 + 0*y**4 + m - 1/24*y**3 + 0*y. Factor b(n).
(n - 1)*(n + 1)/4
Let f = 16510 + -16455. Factor 5/2*d**2 + 605/2 + f*d.
5*(d + 11)**2/2
Let 8/5*l**2 + 0 - 4/5*l - 4/5*l**3 = 0. What is l?
0, 1
Let w(a) = -a**2 - 406*a + 8000. Let o(i) = i**2 + i. Let x(l) = -6*o(l) - w(l). Factor x(g).
-5*(g - 40)**2
Let h be (-234)/(-540)*-6 - -3. Factor 2/5*l**3 - h*l - 4/5*l**2 + 4/5.
2*(l - 2)*(l - 1)*(l + 1)/5
What is h in -55*h**3 + 21*h + 9*h + 90*h**2 - 10*h**4 - 55*h**2 = 0?
-6, -1/2, 0, 1
Let v(b) = -19*b**4 - 50*b**3 + 71*b**2 + 471*b + 9. Let n(j) = 9*j**4 + 25*j**3 - 36*j**2 - 236*j - 4. Let q(d) = -9*n(d) - 4*v(d). Factor q(r).
-5*r*(r - 3)*(r + 4)**2
Let i(f) be the first derivative of -f**7/30 - f**6/24 + f**5/30 - 6*f**2 - 5. Let z(y) be the second derivative of i(y). What is k in z(k) = 0?
-1, 0, 2/7
Let k(b) be the first derivative of 2*b**5/35 + 3*b**4/14 + 2*b**3/21 - 3*b**2/7 - 4*b/7 - 103. Solve k(m) = 0.
-2, -1, 1
Let s(r) = 3*r**3 + 3*r**2 + 7*r + 3. Suppose 0 = 4*m - 2 - 58. Let u(p) = 7*p**3 + 5*p**2 + 14*p + 6. Let w(l) = m*s(l) - 6*u(l). Factor w(y).
3*(y + 1)**2*(y + 3)
Let z be (18/3)/(4/(-6)*-3). Suppose 4*h**4 - 4*h**3 - 4*h**2 + 3*h**z - h**3 + 6*h**3 - 4*h = 0. Calculate h.
-1, 0, 1
Let i(w) be the first derivative of 5*w**4/4 - 5*w**2/2 + 43. Determine k, given that i(k) = 0.
-1, 0, 1
Suppose -35 = -s + 2*j, -4*j - 13 = 3. What is f in 16*f + 68*f**3 + 21*f**2 - s*f**4 + 2 + 9*f**4 + 6 - 95*f**2 = 0?
-2/9, 1, 2
Let v be 2/(-10) + 3/15. Let z = 714/1765 - 8/1765. Factor 2/5*g + v - z*g**2.
-2*g*(g - 1)/5
Let y(k) be the first derivative of 3 + 1/21*k**3 + 1/7*k**2 - 3/7*k. Find q such that y(q) = 0.
-3, 1
Let r(b) be the second derivative of b**5/4 - 5*b**4/6 - 75*b. Factor r(x).
5*x**2*(x - 2)
Determine x, given that 17/3 + 1/3*x**2 + 6*x = 0.
-17, -1
Let c = 338 + -40559/120. Let m(l) be the third derivative of 6*l**2 - 3/8*l**4 + 0*l**3 + 0*l - c*l**6 - 1/10*l**5 + 0. Factor m(n).
-n*(n + 3)**2
Suppose -44 = 7*l + 4*l. Let r be (1 - 1) + l/(-14). Factor 0*i - r*i**2 + 0 - 2/7*i**3.
-2*i**2*(i + 1)/7
Factor 0 - 1/5*z**2 + 2/5*z**3 - 1/5*z**4 + 0*z.
-z**2*(z - 1)**2/5
Let z be (-2 + 0 + 12)*(-6)/(-5). Find i, given that 12 - z*i**2 + 9*i**3 + 14*i**3 - 27*i**3 + 4*i = 0.
-3, -1, 1
Factor 1/3*h**3 - 1/3*h + 17/3 - 17/3*h**2.
(h - 17)*(h - 1)*(h + 1)/3
Let l(b) be the first derivative of -7*b**3/2 - 51*b**2 + 30*b - 99. Factor l(n).
-3*(n + 10)*(7*n - 2)/2
Suppose 0 = -4*s + 566 + 322. Solve -197*z - 5*z**2 - 15 - s*z + 439*z = 0.
1, 3
Let r(d) be the first derivative of -d**6/9 - 28*d**5/45 - 10*d**4/9 - 16*d**3/27 + 62. Solve r(h) = 0 for h.
-2, -2/3, 0
Let f = -4/19 + -17/190. Let s = 1/2 - f. Solve -s - 3/5*c + 1/5*c**2 = 0.
-1, 4
Solve -3*c**3 + 25 + 18*c**2 + 3*c - 44*c + 116*c + 29 = 0 for c.
-2, -1, 9
Suppose 1237 = 5*q - 4*u, 0 = q - 7*u + 2*u - 260. Suppose 5*c - 3*d - 2*d = q, -4*c - d + 176 = 0. Factor c*w + 5 + 63*w**2 + 21*w**2 + 1.
3*(4*w + 1)*(7*w + 2)
Let w(m) be the first derivative of -3/28*m**4 + 2/7*m**3 + 0*m + 0*m**2 - 33. Determine o so that w(o) = 0.
0, 2
Let h(w) be the first derivative of -3*w**4/16 - 4*w**3 - 15*w**2/2 + 84*w + 479. Find c, given that h(c) = 0.
-14, -4, 2
Let b(r) be the third derivative of 0*r**4 + 0*r**3 + 0 + 0*r - 4*r**2 + 1/10*r**5 + 27/140*r**7 + 9/40*r**6 + 27/448*r**8. Factor b(h).
3*h**2*(3*h + 2)**3/4
Let v(n) be the second derivative of 2*n**6/15 + 3*n**5/5 - 15*n**4 + 54*n**3 - 7*n - 20. Solve v(j) = 0 for j.
-9, 0, 3
Let k be (-378)/(-270) - 16/(-10). Factor -51*f**4 + 3/2*f + 3 + 27/2*f**5 + 69*f**k - 36*f**2.
3*(f - 1)**4*(9*f + 2)/2
Let o(g) = g**3 - 11*g**2 + 11*g + 16. Let z(c) = -2*c**3 + 21*c**2 - 22*c - 33. Let p(i) = 5*o(i) + 2*z(i). Let r be p(12). Factor -4/7*u - 2/7 - 2/7*u**r.
-2*(u + 1)**2/7
Let i(x) = x + 1. Let c(f) = -59 - 2*f - 4*f - 3*f - 3*f**2 + 53. Let p(b) = -c(b) + 3*i(b). Factor p(w).
3*(w + 1)*(w + 3)
Let 60*f**2 - 47*f - 30*f**3 + 5*f - 3*f + 34*f**5 + 25*f**5 - 56*f**5 + 12 = 0. Calculate f.
-4, 1
Suppose -12*u + 91 = 55. Let 10/11*i + 2/11*i**4 - 4/11 - 2/11*i**u - 6/11*i**2 = 0. What is i?
-2, 1
Solve -24/7 + 30/7*l - 3/7*l**3 - 3/7*l**2 = 0 for l.
-4, 1, 2
Let 8/5*r - 2*r**3 + 16/5 + 2/5*r**5 + 4/5*r**4 - 4*r**2 = 0. What is r?
-2, -1, 1, 2
Let d be 9 - (7 + 0/((-35)/(-7))). Factor -z**d - 1/3*z**3 - z - 1/3.
-(z + 1)**3/3
Let d be (0 + 7)/1*2/7. Factor -3 - d*y**3 + y**3 - 7*y + 274*y**2 - 279*y**2.
-(y + 1)**2*(y + 3)
Let p = -19 - -47. Let l be 2/12 + p/(-24) + 4. Factor 0*c**2 - 4/9*c**l + 2/9*c**4 - 2/9 + 4/9*c.
2*(c - 1)**3*(c + 1)/9
Let p(w) be the second derivative of w**7/28 + 7*w**6/20 + 27*w**5/20 + 5*w**4/2 + 2*