.
-1, 0, 1
Let 3/4*d - 1/4*d**3 + 1/2*d**2 + 0 = 0. What is d?
-1, 0, 3
Let i(s) = 2*s**4 + s**3 + 2*s**2 - s. Let t(m) = -11*m**4 + 4*m**3 - 17*m**2 - 4*m + 8. Let q(v) = 20*i(v) + 4*t(v). Find u such that q(u) = 0.
-1, 1, 8
Let u(i) = -5*i**3 + 10*i**2 - 44*i + 2. Let t(g) = 27*g**3 - 48*g**2 + 222*g - 11. Let a(f) = -2*t(f) - 11*u(f). Factor a(r).
r*(r - 10)*(r - 4)
Let t(c) = c - 2. Let f be t(5). Suppose 44 - 8 = 2*x. Suppose 8*j**2 + j**f + 6*j**2 + 4*j - x*j**2 = 0. What is j?
0, 2
Suppose -2*k - 3*w = -7*k + 9, 3*w = 6. Suppose 12 = -k*f + 6*f. Factor -10*s**3 + 6*s**2 + 3*s**f - 2*s**3 + 3*s**3 + 0*s**3.
3*s**2*(s - 2)*(s - 1)
Let v(g) = -190*g**3 - 595*g**2 + 1485*g - 700. Let r(k) = 7*k**3 + 22*k**2 - 55*k + 26. Let w(t) = -55*r(t) - 2*v(t). Determine s, given that w(s) = 0.
-6, 1
Factor -45/7*n + 18/7*n**2 - 300/7 + 3/7*n**3.
3*(n - 4)*(n + 5)**2/7
Let r = 4008/5 + -4004/5. Factor 0*l + 0 - 2/5*l**2 - 2/5*l**4 + r*l**3.
-2*l**2*(l - 1)**2/5
Let u(c) = -1. Let k(q) = 5*q**3 - 20*q**2 - 25*q + 2. Let b(w) = k(w) + 2*u(w). Factor b(p).
5*p*(p - 5)*(p + 1)
Let a be (1 - 0) + 32/2. Let j(d) = 14*d + 59. Let r be j(-4). Factor 24*s - 8 + a - 12*s + r*s**2.
3*(s + 1)*(s + 3)
Let c(w) = -20*w**5 - 220*w**4 - 648*w**3 - 740*w**2 - 364*w - 56. Let x(a) = 2*a**5 - a**2 - 1. Let q(u) = -c(u) - 4*x(u). Suppose q(n) = 0. What is n?
-15, -1, -1/3
Let z(f) be the first derivative of 0*f**3 + 2/25*f**5 - 1/5*f**4 - 2/5*f + 2/5*f**2 + 2. Determine y, given that z(y) = 0.
-1, 1
Let x(q) be the first derivative of -8/25*q**5 + 3/5*q**4 + 1/15*q**6 + 1/5*q**2 - 7 - 8/15*q**3 + 0*q. Factor x(s).
2*s*(s - 1)**4/5
Suppose 3*y + y + 4*p - 56 = 0, -3*y = -5*p - 74. Let w be (20/(-15))/((-10)/6)*15. Factor -4*f**2 + 0*f**3 + 4 + 10*f + w*f - 4*f - y*f**3.
-2*(f - 1)*(f + 1)*(9*f + 2)
Suppose -2*u = -3*j + 4, -20 = -32*j + 27*j. Let g(t) be the second derivative of 0*t**2 - 4/9*t**u - 8/9*t**3 - 8*t - 1/15*t**5 + 0. What is l in g(l) = 0?
-2, 0
Let j(r) be the second derivative of r**4/54 + 41*r**3/9 - 250*r**2/9 + 935*r. Factor j(w).
2*(w - 2)*(w + 125)/9
Let k(f) be the first derivative of -f**6/12 + f**5/5 + 9*f**4/8 - 3*f**3 - 207. Find g, given that k(g) = 0.
-3, 0, 2, 3
Let g(k) = k**2 + 1284*k - 83205. Let j(m) = -2570*m + 166410. Let z(o) = 5*g(o) + 3*j(o). Factor z(y).
5*(y - 129)**2
Let t = -332 - -332. Let s(w) be the second derivative of -3*w + 1/5*w**5 + 4/15*w**6 + 0*w**3 + 0*w**2 + 0 + 2/21*w**7 + t*w**4. Find x, given that s(x) = 0.
-1, 0
Let b(a) be the second derivative of 10/3*a**2 + 1/24*a**5 + 0 + 35/72*a**4 + 35/18*a**3 - 23*a. Factor b(z).
5*(z + 1)*(z + 2)*(z + 4)/6
Factor 8/3*j**2 + 0 + 8/3*j + 2/3*j**3.
2*j*(j + 2)**2/3
Let -11*c**3 - 2*c**4 - 6*c**2 + 26*c**2 + 2*c**3 - 38*c - 12*c**3 + 7*c**5 + 34*c = 0. Calculate c.
-2, 0, 2/7, 1
Let l = 43919 + -395269/9. Factor 0 - l*i**4 + 14/9*i**2 - 4/9*i**3 - 8/9*i.
-2*i*(i - 1)**2*(i + 4)/9
Let w(c) = 4*c**3 + 7 + 2 + 15*c**2 - 3 - 5*c**3. Let o(y) = -5*y**3 + 60*y**2 + 25. Let n(u) = -6*o(u) + 25*w(u). Factor n(b).
5*b**2*(b + 3)
Find h, given that -38/3*h - 20/3 - 16/3*h**2 + 2/3*h**3 = 0.
-1, 10
Let v(s) be the second derivative of 2/3*s**3 - 1/3*s**4 + 0 + 2*s + 4*s**2. Factor v(h).
-4*(h - 2)*(h + 1)
Let z = 30 - 28. Factor -p**3 + p**2 + 4*p**2 - p**z.
-p**2*(p - 4)
Factor -2/3*y**3 + 0*y + 5/3*y**4 + 0 + 7/3*y**5 + 0*y**2.
y**3*(y + 1)*(7*y - 2)/3
Let p(f) = -9*f**5 - 30*f**4 - 18*f**3 + 60*f**2 + 129*f + 60. Let r(b) = b**5 + 2*b**4 - 2*b - 1. Let s(a) = p(a) + 6*r(a). What is o in s(o) = 0?
-3, -1, 2
Determine a, given that 53*a**2 + 1/2 + 107/2*a = 0.
-1, -1/106
Let t(m) be the first derivative of -m**7/1540 + 7*m**6/660 - 2*m**5/55 - 4*m**4/11 - 7*m**3 - 1. Let s(j) be the third derivative of t(j). Factor s(u).
-6*(u - 4)**2*(u + 1)/11
Let z be (-1)/((-2900)/455) - 2/(-8). Let j = z - 6/29. Let j*p**2 + 0 - 1/5*p = 0. What is p?
0, 1
Suppose 6*f = -7*f - 2886. Let c = -1996/9 - f. Factor 2/9*a**3 - c*a + 2/9*a**2 + 0 - 2/9*a**4.
-2*a*(a - 1)**2*(a + 1)/9
Suppose x - 4*f + 6 = -x, -2*f = 2*x. Let l(d) = 10*d**2 + 18*d - 12. Let n(z) = z**2 + z - 1. Let b(p) = x*l(p) + 12*n(p). What is q in b(q) = 0?
0, 3
Let s(g) be the third derivative of g**6/1020 - 2*g**5/255 + g**4/51 - 3*g**2 + 53*g. Find f such that s(f) = 0.
0, 2
Let r(h) be the second derivative of h**5/180 - 7*h**4/54 - h**3/54 + 7*h**2/9 + h + 1. Factor r(f).
(f - 14)*(f - 1)*(f + 1)/9
Let x(k) be the first derivative of k**6/30 + 2*k**5 + 38*k**4 + 144*k**3 - 1944*k**2 + 23328*k/5 - 36. Factor x(d).
(d - 2)**2*(d + 18)**3/5
Let a = -8961 - -8961. Factor 1/2*s**4 - 1/2*s**3 - 2*s**2 + a + 2*s.
s*(s - 2)*(s - 1)*(s + 2)/2
Factor 88 + 31*a - 8*a**2 - 3*a**3 - 19*a - 8*a**2 - a**3 - 16.
-4*(a - 2)*(a + 3)**2
Let r(y) be the first derivative of -1/4*y**3 + 14 - 75/4*y - 15/4*y**2. Determine h so that r(h) = 0.
-5
Find n such that -14/5*n**5 + 12*n**3 - 8*n**2 + 0 + 2*n**4 - 16/5*n = 0.
-2, -2/7, 0, 1, 2
Factor 11*g + 3*g + 9*g**3 - 33*g**2 + 14*g - 12 + 8*g.
3*(g - 2)*(g - 1)*(3*g - 2)
Let q(y) be the first derivative of -1/10*y**4 + 0*y + 1/5*y**5 + 12 + 0*y**3 + 0*y**2. Factor q(c).
c**3*(5*c - 2)/5
Solve -n + 0 + 13*n**3 + 61/4*n**4 + 3*n**5 - 1/4*n**2 = 0.
-4, -1, -1/3, 0, 1/4
Suppose -46*l + 88 = -50. Factor 1/9*g**4 + 0*g**2 + 1/9*g**l + 0 + 0*g.
g**3*(g + 1)/9
Factor -2*p**4 + 116*p - 18*p**2 - 124*p + 2*p**2 - 10*p**3.
-2*p*(p + 1)*(p + 2)**2
Let g = 85/97 + 521/291. Determine h so that 8/3*h**5 + 0*h - g*h**3 + 4/3*h**2 - 4/3*h**4 + 0 = 0.
-1, 0, 1/2, 1
Let s(u) be the first derivative of -5*u**6/18 + u**5/5 + 13*u**4/12 - u**3/3 - 4*u**2/3 + 112. What is t in s(t) = 0?
-1, 0, 1, 8/5
Factor 0 + 4/13*w**2 + 8/13*w**4 + 2/13*w - 14/13*w**3.
2*w*(w - 1)**2*(4*w + 1)/13
Suppose -5*d = -14*d + 27. Let z(t) be the first derivative of 0*t + 7 + 0*t**2 + 0*t**d - 1/4*t**4. Factor z(g).
-g**3
Let u(k) = k**3 + 23*k**2 - k - 23. Let q be u(-23). Suppose -4*g + 4*f - 4 = q, g = 4*g - 2*f. Factor 4/5 + 0*v**g - 6/5*v + 2/5*v**3.
2*(v - 1)**2*(v + 2)/5
Determine i so that 14/5*i**4 + 0 - 44*i**3 + 146/5*i**2 + 12*i = 0.
-2/7, 0, 1, 15
Let u be (-80)/(-12) + 2/(-3). Let c be 15/u - 1/2. Factor 48 + 15*v + 7*v**2 + 9*v - 4*v**c.
3*(v + 4)**2
Let o(t) = 4*t**2 + 10*t - 26. Let c(z) = 3*z**2 + 11*z - 27. Let u = 8 + -3. Let q(a) = u*o(a) - 6*c(a). Factor q(y).
2*(y - 4)**2
Let k(s) be the second derivative of -s**6/30 + 3*s**5/20 + 11*s**4/6 - 4*s**3 - s + 288. Solve k(n) = 0.
-4, 0, 1, 6
Let a(i) be the second derivative of -12/7*i**2 + 0 - 38/21*i**3 - 7*i + 1/3*i**4. Solve a(r) = 0 for r.
-2/7, 3
Suppose f + 15 = 5*q, -q + 3 = -f + 4. Factor -f*v**2 + 22 - 23 + 11 + 5*v.
-5*(v - 2)*(v + 1)
Let v(n) be the second derivative of -1/48*n**3 + 0*n**2 + 0 + 12*n + 1/96*n**4. Factor v(b).
b*(b - 1)/8
Let x(w) be the second derivative of -1/120*w**5 - 1/9*w**3 + 0 + 0*w**2 + 1/18*w**4 + 11*w. Factor x(g).
-g*(g - 2)**2/6
Suppose 0 = 2*g + g. Suppose g = -7*n + n + 12. Let 2/3*x**3 + 2/9*x**n - 4/9*x - 2/9*x**4 - 2/9*x**5 + 0 = 0. Calculate x.
-2, -1, 0, 1
Let u(f) be the first derivative of f**5/60 + f**4/8 + f**3/3 + 20*f**2 + 38. Let i(j) be the second derivative of u(j). Factor i(r).
(r + 1)*(r + 2)
Let v be (4/((-12)/(-249)))/(2 - 1). Let t = -248/3 + v. Determine n so that -t*n**2 + 1/6*n + 1/6*n**3 + 0 = 0.
0, 1
Let d(x) = -5*x**2 + 15*x - 2. Suppose 3*m - 7*l + 10 = -3*l, -4 = 3*m + 2*l. Let q(i) = 1. Let u(a) = m*q(a) - d(a). Factor u(v).
5*v*(v - 3)
Suppose -11*p - 29 = -161. Suppose 5*b - 75 = -a, 3*a + 0*a = 15. Find d, given that -2 + p*d + 0 + b + 3*d**2 = 0.
-2
Let z(y) be the third derivative of -y**9/36288 - y**8/4032 - y**7/1512 + 13*y**5/30 + 40*y**2. Let k(h) be the third derivative of z(h). What is i in k(i) = 0?
-2, -1, 0
Suppose -14*s - 9 = 5. Let f(q) = -q**3 + q**2 - q. Let t(z) = -16*z**3 + 20*z**2 - 20*z. Let m(i) = s*t(i) + 20*f(i). Solve m(k) = 0 for k.
0
Let k(f) be the third derivative of -7/90*f**5 + 0*f + 1/18*f**4 + 0*f**3 - 17*f**2 - 1/45*f**6 + 0. Determine o, given that k(o) = 0.
-2, 0, 1/4
Let c = 2/45 + 16/45. Suppose -s = 2 - 4. Factor 6/5*z**s - c*z + 0.
2*z*(3*z - 1)/5
Let a(o) be the third derivative of -o**6/24 + 61*o**5 - 37210*o**4 + 36316960*o**3/3 - 4*o**2 + 69. Factor a(h).
-5*(h - 244