t 0*z**2 + 555*z - 558*z + 3*z**2 + 0*z**2 = 0. What is z?
0, 1
Let g = 2/299 - -584/2093. Let m = 552/203 - 54/29. Factor -m*q**2 - g*q**3 - 6/7*q - 2/7.
-2*(q + 1)**3/7
Find i, given that -14*i + 38*i - 5*i**3 + 5*i**2 + 6*i = 0.
-2, 0, 3
Let x(u) = u**2 + 2*u - 5. Let g be x(-4). Solve g*o**3 - o**2 + 6*o**2 - 2*o**2 = 0.
-1, 0
Let f(q) = q + 8. Let j be f(-9). Let d be 1/4 - j/(-4). Let 4/5*p**2 - 2/5 + 0*p + d*p**3 - 2/5*p**4 = 0. Calculate p.
-1, 1
Let d be (-39)/(-4) + 7/28. Let a = d + -8. What is u in 5/4*u**a + 1/2*u + 3/4*u**3 + 0 = 0?
-1, -2/3, 0
Let y(n) = -n**2 - n. Let f(k) = 7*k**2 - k - 5. Let u(x) = f(x) + 6*y(x). Let c be u(8). Determine t, given that -1/4*t**2 + 1/4 + t - t**c = 0.
-1, -1/4, 1
Determine m, given that 0*m - 4/5*m**3 + 0*m**2 - 18/5*m**4 + 0 = 0.
-2/9, 0
Let x be 102/14 + (-16)/56. Let l = -4 + x. Factor -2/11*z + 4/11 + 2/11*z**l - 4/11*z**2.
2*(z - 2)*(z - 1)*(z + 1)/11
Let c(n) = n**3 + 4*n**2 - 3*n + 9. Let k be c(-5). Let z be 0 - (-2)/(-4)*k. Solve 0*i**2 + 1/2*i + 0 - z*i**3 = 0 for i.
-1, 0, 1
Let -3*k**4 - 14*k**2 - k**4 + 16*k**3 - 4*k**2 + 2*k**2 = 0. Calculate k.
0, 2
Solve -3*r**5 + 10 - 70*r**3 + 0*r**5 - 45*r - 3*r**5 + 80*r**2 + r**5 + 30*r**4 = 0.
1, 2
Let u(a) be the third derivative of a**10/90720 - a**9/22680 + a**8/20160 - 5*a**4/12 - 7*a**2. Let j(p) be the second derivative of u(p). Factor j(v).
v**3*(v - 1)**2/3
Let l(w) = w - 3. Let t be l(6). What is h in -3*h - t*h**3 + 0*h**2 + 1 - h**2 + 4*h + 2*h**3 = 0?
-1, 1
Let 1/7*n - 1/7 + 2/7*n**2 = 0. Calculate n.
-1, 1/2
Suppose -64 + 57*d - 52*d**2 + 4*d**3 - d**4 + 39*d + 8*d**3 = 0. Calculate d.
2, 4
Let a = -32 + 385/12. Let i(p) be the second derivative of -a*p**4 + 0 + 2*p - 2*p**2 + 2/3*p**3. Factor i(g).
-(g - 2)**2
Let r = -43 + 71. Suppose 2*v + 4*c - r = -2*v, 0 = -4*c + 16. Factor -10/11*h + 14/11*h**2 - 6/11*h**v + 2/11.
-2*(h - 1)**2*(3*h - 1)/11
Let c(p) be the third derivative of -1/60*p**5 + 0*p + 3*p**2 + 0 + 1/12*p**4 - 1/6*p**3. Find k such that c(k) = 0.
1
Let h(m) be the first derivative of -m**5/50 + m**4/20 - m**2/10 + m/10 - 5. Factor h(d).
-(d - 1)**3*(d + 1)/10
Factor -2/11*i**2 - 72/11 + 24/11*i.
-2*(i - 6)**2/11
Let y = -29 + 2. Let m be y/(-6) + -2 - 2. Factor d + 3/2*d**2 - m.
(d + 1)*(3*d - 1)/2
Let s(r) = -19*r**5 - 8*r**4 - 9*r**3 + 9*r**2 + 9*r + 9. Let m(g) = -5*g**5 - 2*g**4 - 2*g**3 + 2*g**2 + 2*g + 2. Let d(q) = 9*m(q) - 2*s(q). Factor d(h).
-h**4*(7*h + 2)
Let j = 49 + -146/3. Factor 0 - 1/3*y**2 + j*y.
-y*(y - 1)/3
Let o(n) be the first derivative of -n**7/1260 + n**5/60 - n**4/18 + 2*n**3/3 + 3. Let k(z) be the third derivative of o(z). Factor k(h).
-2*(h - 1)**2*(h + 2)/3
Let i be (2/168)/((450/24)/5). Let k(h) be the third derivative of 0 + 0*h**6 + 0*h**4 + 1/9*h**3 - 1/45*h**5 + i*h**7 + 0*h + 2*h**2. Solve k(d) = 0 for d.
-1, 1
Determine s, given that 0*s**2 + 3/8*s**4 + 3/4*s - 3/8 - 3/4*s**3 = 0.
-1, 1
Let h be (-5 - -1 - 46) + 4. Let i = -22 - h. Factor 98/5*w**3 + 252/5*w**2 + 16/5 + i*w.
2*(w + 2)*(7*w + 2)**2/5
Let i = 55323 + -830234/15. Let x = 79/3 + i. Factor x*n**2 - 4/5 + 2/5*n.
2*(n - 1)*(n + 2)/5
Find u, given that 0*u + 8/3*u**2 + 0 - 2/3*u**3 = 0.
0, 4
Let b(y) be the second derivative of -y**8/672 + y**6/120 - y**4/48 - 3*y**2/2 + y. Let d(x) be the first derivative of b(x). Factor d(l).
-l*(l - 1)**2*(l + 1)**2/2
Let w(y) be the first derivative of 0*y + 1/4*y**3 - 9/16*y**4 + 1/8*y**6 - 1 + 3/4*y**2 - 3/20*y**5. What is s in w(s) = 0?
-1, 0, 1, 2
Let d(i) be the third derivative of i**2 + 0*i**6 + 0*i + 0 + 1/12*i**4 - 1/168*i**8 + 2/105*i**7 + 0*i**3 - 1/15*i**5. Factor d(s).
-2*s*(s - 1)**3*(s + 1)
Let h(g) be the second derivative of g**6/120 + g**5/60 - g**2 - 2*g. Let s(c) be the first derivative of h(c). Determine r so that s(r) = 0.
-1, 0
Solve l**5 + l**5 - 4*l**4 + 4*l**4 + 2*l**4 = 0.
-1, 0
Let i = 184 - 919/5. Solve i - 1/5*l - 2/5*l**2 = 0 for l.
-1, 1/2
Factor 0*q**3 - 2*q - 6 - q - 8*q**3 + 2*q**3 + 15*q**2.
-3*(q - 2)*(q - 1)*(2*q + 1)
Let d(a) = -a**3 - 3*a**2 - 4*a. Let y(l) = -2 - 8*l**2 - 3*l**3 + 2 - 11*l. Let m(f) = 11*d(f) - 4*y(f). Let m(n) = 0. What is n?
0, 1
Suppose -4*o + 7 = 4*f - 13, -4*f + 5*o + 29 = 0. Find q, given that 12*q**5 + 5*q**2 - 11*q**2 + 3*q - 15*q**5 + f*q**4 = 0.
-1, 0, 1
Let c(k) be the second derivative of -49*k**7/8 + 49*k**6/40 + 63*k**5/8 + 19*k**4/4 + k**3 - 5*k. Let c(n) = 0. Calculate n.
-2/7, 0, 1
Let n = 2/691 + 6904/2073. Factor -n*a**2 + 14/3*a - 4/3.
-2*(a - 1)*(5*a - 2)/3
Suppose -w = -y - y - 6, 0 = 4*w + 5*y + 2. Let r(g) be the first derivative of -4/3*g**3 + 0*g - 1 + g**w + 1/2*g**4. Let r(m) = 0. Calculate m.
0, 1
Let s(y) be the third derivative of y**5/40 - 5*y**4/4 + 25*y**3 - 8*y**2. Factor s(m).
3*(m - 10)**2/2
Let w(s) = -5*s**2 + 1. Suppose 5*u - 44 = u. Let p(v) be the first derivative of 14*v**3/3 - 3*v - 1. Let h(y) = u*w(y) + 4*p(y). Factor h(j).
(j - 1)*(j + 1)
Suppose 4*n = 3*u + 13 + 1, 4*n + 5*u - 30 = 0. Suppose -4*w - 4*o = -28, -n*o + 5 - 30 = -5*w. Factor 3*i**4 - w*i**4 - 5*i**5 + 0*i**4 + 2*i**3.
-i**3*(i + 1)*(5*i - 2)
Let a(l) = -2*l**3 - 2*l**2 + 22*l - 15. Let z(u) = 7*u**3 + 7*u**2 - 67*u + 45. Let j(f) = -8*a(f) - 3*z(f). Factor j(i).
-5*(i - 1)**2*(i + 3)
Let z(w) be the second derivative of -w**4/78 + 4*w**2/13 + 6*w. Find b such that z(b) = 0.
-2, 2
Suppose g - 11 = 2*y - 30, 40 = 5*y - 4*g. Factor 4*a**3 - 19*a - 7*a + 38*a + y*a**2 - a**3.
3*a*(a + 2)**2
Let p(n) = 2*n + 2. Let g be p(-3). Let s(u) = 171 - 352 + 179 + u - 15*u**3 - 5*u**2. Let c(y) = -8*y**3 - 3*y**2 - 1. Let m(t) = g*s(t) + 7*c(t). Factor m(z).
(z - 1)*(z + 1)*(4*z - 1)
Let g be (6/9)/((-3)/18). Let q be (1/(-2))/(g/16). Factor -4/9*o + 0 - 2/9*o**q.
-2*o*(o + 2)/9
Let 3*n + 3*n**2 - n**3 - 2*n**3 - 4*n**4 - n**4 + 2*n**4 = 0. Calculate n.
-1, 0, 1
Let u be 1/2 + (-5)/(-2). Find v, given that 0*v**2 + 2 - v**2 - v**u - 1 - 3*v + 4*v**2 = 0.
1
Let r be 5/15 - (-42)/9. Let v be (r/((-5)/(-4)))/6. Suppose v*d**2 + 2/3 - 4/3*d = 0. Calculate d.
1
Factor -2*l**3 - 14/5*l**2 + 0 - 6/5*l - 2/5*l**4.
-2*l*(l + 1)**2*(l + 3)/5
Let g(c) be the second derivative of -1/60*c**6 + 0*c**2 - 1/20*c**5 + 0*c**3 - 1/24*c**4 + 3*c + 0. Suppose g(u) = 0. Calculate u.
-1, 0
Factor -36*r**2 + 28*r + 20*r**3 - 118*r**4 - 2 - 6 + 114*r**4.
-4*(r - 2)*(r - 1)**3
Let v be ((-126)/30 - -4)*(-10)/3. Suppose -6*w = -9*w. Factor 1/3 + w*z + 0*z**3 - v*z**2 + 1/3*z**4.
(z - 1)**2*(z + 1)**2/3
Let v(y) be the second derivative of y**6/540 - y**5/270 - 3*y**2/2 - 4*y. Let c(k) be the first derivative of v(k). Let c(n) = 0. Calculate n.
0, 1
Let b(n) be the third derivative of -n**5/210 - n**4/84 + 3*n**2. Factor b(q).
-2*q*(q + 1)/7
Suppose -w - 5*p = -21, 19 = 3*w - p + 5*p. Let f be w/18*(-20)/(-5). Factor 2/9 + 2/3*d**2 + 2/3*d + f*d**3.
2*(d + 1)**3/9
Let g(x) be the first derivative of 2*x**6/3 - 16*x**5/5 + 6*x**4 - 16*x**3/3 + 2*x**2 + 3. Factor g(i).
4*i*(i - 1)**4
Let g be (-6)/12 + (-22)/(-12). Factor -10/3*f - 2*f**2 + g.
-2*(f + 2)*(3*f - 1)/3
Suppose -3*k - 5*h = -24 + 7, -h = -k - 5. Let y be (1 - 0) + k + 3. Factor 0*c**2 + 2/9*c**4 - 2/9 + 4/9*c - 4/9*c**y.
2*(c - 1)**3*(c + 1)/9
Suppose -2 = 3*v - 8. Factor 6/5 + 2/15*m**v + 4/5*m.
2*(m + 3)**2/15
Factor 3*r**5 + 27*r**4 - 40*r + 2*r**5 - 2*r**4 - 20*r**2 + 30*r**3.
5*r*(r - 1)*(r + 2)**3
Let n(w) = -w**2 - w. Let p(b) = -12*b**2 - 10*b + 2. Let f(d) = -10*n(d) + p(d). Factor f(t).
-2*(t - 1)*(t + 1)
Let 0 + 0*l**2 + 2/3*l**3 - 1/3*l**5 + 0*l - 1/3*l**4 = 0. Calculate l.
-2, 0, 1
Let q(d) be the first derivative of 3/5*d**4 - 2 + 2/15*d**3 + 0*d + 18/25*d**5 + 0*d**2. Find o such that q(o) = 0.
-1/3, 0
Let i = 233/3 + -77. Factor -2/3*m**2 - i*m + 2/3*m**3 + 2/3.
2*(m - 1)**2*(m + 1)/3
Let 0*m**2 - 9/2 + 3/4*m**3 - 21/4*m = 0. Calculate m.
-2, -1, 3
Let -12*t**3 + 4*t**4 + 13*t**2 + 24*t**3 + 4*t - t**2 = 0. Calculate t.
-1, 0
What is w in 1/9*w + 0 - 10/9*w**2 + 25/9*w**3 = 0?
0, 1/5
Let a(q) be the first derivative of -2*q**5/55 + q**4/22 + 2*q**3/33 - q**2/11 + 3. Find f such that a(f) = 0.
-1, 0, 1
Suppose -2*a**5 + 155 + 6*a**3 - 308 - 4*a + 153 + 2*a**4 - 2*a**2 = 0. What is a?
-1, 0, 1, 2
Let u(f) be the third derivative of -f**5/12 - 5*f**4/8 - 5*f**2. Suppose u(l