*6/135 - s**5/30 - s**4/18 + 7*s**3/27 + 2*s**2/3 + 139*s. Find y, given that g(y) = 0.
-1, 2, 3
Let p = 34 + -32. Let o(f) = f. Let x(t) = -t**2 + 2*t + 1. Let r(z) = p*o(z) - x(z). Let r(u) = 0. What is u?
-1, 1
Let l = 85/26 + -7663/2340. Let z = l - -367/1260. Factor 0 + 0*g + 0*g**2 - z*g**4 - 2/7*g**3.
-2*g**3*(g + 1)/7
Let o(q) be the first derivative of 4*q**3/3 - 6*q**2 - 19*q - 31. Let f(a) = 3*a**2 - 12*a - 18. Let z(w) = 7*f(w) - 6*o(w). Factor z(h).
-3*(h + 2)**2
What is f in 6*f**2 + 4*f - f + 0*f - 4 - 6*f - 5*f**2 = 0?
-1, 4
Suppose -22*i + 2*i = 0. Let -4/7*q**3 + 4/7*q**2 + 8/7*q + i = 0. What is q?
-1, 0, 2
Factor 0 + 4/5*f**3 - 2/5*f**4 - 2/5*f**2 + 0*f.
-2*f**2*(f - 1)**2/5
Let c(l) be the first derivative of -3*l**6/2 + 87*l**5/5 - 271*l**4/4 + 99*l**3 - 60*l**2 + 16*l - 99. Suppose c(y) = 0. Calculate y.
1/3, 1, 4
Suppose 290*g - 292*g = -8. Solve 2/3*i**g + 0 + 0*i + 8/3*i**2 + 8/3*i**3 = 0 for i.
-2, 0
Factor 24/19*n + 0 + 2/19*n**4 - 46/19*n**2 + 20/19*n**3.
2*n*(n - 1)**2*(n + 12)/19
Find j, given that 0*j - 978 - 786 + j**2 - 168*j - 5*j**2 = 0.
-21
Let i(a) be the second derivative of a**5/30 + a**4 + 12*a**3 + a**2 - 10*a. Let k(f) be the first derivative of i(f). Factor k(h).
2*(h + 6)**2
Let y(q) = 16*q**3 - 83*q**2 + 45*q + 5. Let v(i) = 104*i**3 - 540*i**2 + 292*i + 32. Let w(l) = 5*v(l) - 32*y(l). Find f such that w(f) = 0.
0, 1/2, 5
Let q(k) be the first derivative of k**4/54 + 2*k**3/27 + 10*k + 9. Let a(n) be the first derivative of q(n). What is l in a(l) = 0?
-2, 0
Let h(u) be the first derivative of -1/5*u**2 - 1/15*u**3 + 0*u - 9. Factor h(d).
-d*(d + 2)/5
Let y(u) = -36*u + 618. Let w be y(17). Let s(r) be the third derivative of 0*r**3 - 1/60*r**5 + 0 + 0*r + w*r**2 + 1/24*r**4. Factor s(d).
-d*(d - 1)
Let u = -146 + 148. Let t(y) be the first derivative of -2*y**2 + y**4 + 2 + u*y - 2/3*y**3. Factor t(d).
2*(d - 1)*(d + 1)*(2*d - 1)
Let h = 26780/9 - 187190/63. Factor 29/7*x - 6/7 - h*x**2 + x**3.
(x - 3)*(x - 1)*(7*x - 2)/7
Let r(k) = -2*k**2 - 204*k + 5000. Let c(s) = s**2 + 203*s - 5000. Let v(b) = 4*c(b) + 3*r(b). Solve v(i) = 0.
50
Let v = 106 + -91. Let -3*b**3 + 2*b**3 - 2*b + 31*b**2 - 13*b**2 - v*b**2 = 0. What is b?
0, 1, 2
Let v(k) = -16*k**3 - 52*k**2 - 54*k. Let h(g) = -g**4 + 31*g**3 + 103*g**2 + 108*g. Let r(o) = -2*h(o) - 5*v(o). Determine s, given that r(s) = 0.
-3, 0
Let w = -74 - -146. Let g = 220/3 - w. Factor g*m**3 + 11/3*m**2 - 2/3 + 5/3*m.
(m + 1)*(m + 2)*(4*m - 1)/3
Let f be 34/187 + ((-80)/22)/(-2). Let 21 + 35*r**2 - 227*r - 313*r + 1059 + 55*r**f - 5*r**3 = 0. What is r?
6
Let i = -210 + -141. Let n be (-252)/i - (12/9 - 2). Determine p, given that 4/13 + n*p**2 + 22/13*p = 0.
-1, -2/9
Factor -593153*d**4 + 593137*d**4 + d**5 + 2*d**2 + 5*d**3 + 8*d**5.
d**2*(d - 1)**2*(9*d + 2)
Let k(m) be the first derivative of -m**3/3 + 5*m**2/2 - 4*m + 175. Let k(t) = 0. Calculate t.
1, 4
Solve 21/4*u**5 + 0 + 0*u - 3*u**2 + 27/4*u**4 - 9*u**3 = 0 for u.
-2, -2/7, 0, 1
Let l(z) be the second derivative of z**4/60 - 113*z**3/30 - 517*z. Factor l(f).
f*(f - 113)/5
Determine f so that 2*f + 6*f**4 + 0*f**3 - 2*f - 14*f**2 + 0*f**3 - f**5 + 9*f**3 = 0.
-2, 0, 1, 7
Let y(c) be the third derivative of -18*c**2 - 1/24*c**6 + 1/4*c**5 - 5/12*c**4 + 0*c**3 + 0*c + 0. Factor y(d).
-5*d*(d - 2)*(d - 1)
Let o be 16/6 + (-8)/12. Suppose 66 + 14 = o*m + s, 5*s + 40 = m. Factor -75*t**2 + 50*t + 9 + m*t - 36.
-3*(5*t - 3)**2
Suppose 8/5*n**3 + 1/5 + 17/5*n**2 + 2*n = 0. Calculate n.
-1, -1/8
Let o be (((-2)/3)/(-1))/(2/21). Suppose -o*n + 21 = -0. Determine f, given that 1/2*f**2 - 1/3*f + 0 - 1/6*f**n = 0.
0, 1, 2
Let y(n) = 2*n**4 + 49*n**3 + 109*n**2 - 122*n - 36. Let a(t) = t**4 + 51*t**3 + 110*t**2 - 123*t - 36. Let j(w) = 2*a(w) - 3*y(w). Factor j(d).
-(d - 1)*(d + 6)**2*(4*d + 1)
Let z(l) be the second derivative of -3*l**6/70 + 3*l**5/70 + 47*l**4/84 + 22*l**3/21 + 6*l**2/7 - 11*l + 1. What is b in z(b) = 0?
-1, -2/3, 3
Let i be (-90)/(-27) + 3/(-9). Let n(w) = w**2 - 46*w + 364. Let x be n(10). Factor -1/6*d**2 + 0 - 1/6*d**i + 1/6*d + 1/6*d**x.
d*(d - 1)**2*(d + 1)/6
Suppose 3*u + 3*b - 4*b = 4, 4*u - 5*b + 2 = 0. Factor 0*c**u + 0*c**4 + 0*c + 1/7*c**3 - 1/7*c**5 + 0.
-c**3*(c - 1)*(c + 1)/7
Let j(r) be the second derivative of r**4/20 - 7*r**3/5 - 48*r**2/5 + 2*r - 223. Factor j(b).
3*(b - 16)*(b + 2)/5
Let m be (-5)/15 - 9/(-27). Let y be (-2)/5 + 16/15. Factor -y*r**2 + m*r - 2/3*r**3 + 0.
-2*r**2*(r + 1)/3
Suppose -7 = -t + z, 5*t + 10 = z + 41. Let i(h) = 3*h**3 - 4 + t + h - 2*h + 0. Let m(q) = 7*q**3 - q + 4. Let u(p) = -5*i(p) + 2*m(p). Factor u(n).
-(n - 1)**2*(n + 2)
Let l be 28*(-2 - (-45)/12). Factor -4*n**2 + 73 - l - 40 - 20*n.
-4*(n + 1)*(n + 4)
Let c(z) = -z**2 - 2*z + 3. Let f be c(-3). Let -3*j - 4 + 0*j**2 + j**2 + f*j**2 + 0*j**2 = 0. Calculate j.
-1, 4
Let g(x) = -15*x + x**3 + 2*x - 2 + 12*x - x**2. Let h(d) = 18*d**3 - 9*d**2 - 18*d - 36. Let p(b) = 15*g(b) - h(b). Factor p(s).
-3*(s - 1)*(s + 1)*(s + 2)
Let b be ((-16)/(-12))/((-1)/(-6)). Suppose 0 = -3*v - 3*x + 4*x + 7, -2*x + b = 5*v. Factor -t**v + 1 + 0 - 1 - t.
-t*(t + 1)
Let o(h) be the first derivative of -4 - 1/6*h**4 + 2*h - 4/3*h**3 - 4*h**2. Let s(l) be the first derivative of o(l). Find d, given that s(d) = 0.
-2
Let o(v) be the first derivative of v + 5. Let s(t) = 3*t**3 - 9*t**2 + 6*t + 3. Let p(w) = -3*o(w) + s(w). Find q such that p(q) = 0.
0, 1, 2
Let f be (-12)/27 - 2214/(-1701). Let f*h**2 - 2/7*h**4 - 8/7*h - 8/7 + 4/7*h**3 = 0. Calculate h.
-1, 2
Let r(h) = -1 + 3*h - 3*h + 4*h - 3*h. Let f be r(5). Factor f*v - 4*v - 4*v**4 + v**5 + 5*v**5.
2*v**4*(3*v - 2)
Let u be -30*(2/(-6) + 0). Suppose p + 4*p = u. Solve -3*z**4 + 3*z**2 + z + 2*z - z**3 + 0*z**3 - p*z**3 = 0 for z.
-1, 0, 1
Let v(z) = 19*z**2 - 59*z + 56. Let y(p) = 20*p**2 - 58*p + 58. Let w(s) = -5*v(s) + 4*y(s). Determine o, given that w(o) = 0.
1, 16/5
Let t = -21 + 293/14. Let j = t + 5/21. Factor 0 + j*y**3 - 1/6*y**2 + 0*y.
y**2*(y - 1)/6
Suppose 2*z = -3*a - 3, -5*z - 4*a + 1 + 2 = 0. Let r = 11/90 - -1/10. Find g such that -26/9*g**z + 2*g**2 + 10/9*g**4 + r*g - 4/9 = 0.
-2/5, 1
Let n(p) = 9*p**4 + 9*p**3 + 3*p**2 - 9*p - 6. Let t(h) = 17*h**4 + 17*h**3 + 5*h**2 - 17*h - 11. Let o(y) = -11*n(y) + 6*t(y). Suppose o(l) = 0. What is l?
-1, 0, 1
Let l(q) be the first derivative of q**9/2016 - q**8/560 + q**7/560 + 16*q**3/3 + 20. Let x(g) be the third derivative of l(g). Suppose x(f) = 0. What is f?
0, 1
Let n(b) be the third derivative of -b**5/210 + b**4/14 - 5*b**3/21 + 3*b**2 + 46*b. Determine p, given that n(p) = 0.
1, 5
What is y in -72/5*y - 3/5*y**4 - 66/5*y**2 - 24/5*y**3 - 27/5 = 0?
-3, -1
Let a be 10/(-12) + 7/14 + (-213)/(-99). Factor -2/11*x**2 - 50/11 + a*x.
-2*(x - 5)**2/11
Let l = 437 + -432. Let h(z) be the first derivative of 2/3*z**6 + 64/3*z**3 + 6 + 18*z**2 + 24/5*z**l + 14*z**4 + 8*z. Factor h(t).
4*(t + 1)**4*(t + 2)
Let n(u) = 20*u**3 + 79*u**2 + 61*u - 21. Let a(k) = k**3 - k**2 - k - 3. Let m(t) = a(t) + n(t). Solve m(i) = 0.
-2, 2/7
Let m(k) be the third derivative of -k**6/24 + 11*k**5/12 - 175*k**4/24 + 125*k**3/6 - 26*k**2. Factor m(u).
-5*(u - 5)**2*(u - 1)
Suppose 2*j + 6 = 0, -j - 36 - 3 = -4*v. Let k be 4/(-6)*v/(-3). Factor 2*y**2 - 4*y**3 + k*y**4 + 2*y - 2*y + 0*y**2.
2*y**2*(y - 1)**2
Let c(s) be the second derivative of -s**7/21 - s**6/3 - 3*s**5/10 + 3*s**4/2 + 195*s. Solve c(w) = 0.
-3, 0, 1
Suppose -4*l + 27 = -3*r, 43 = -3*r - r + 3*l. Let k be (-25)/(-10) + -3 + r/(-18). Solve -2/9*j**2 + 0 + k*j**3 + 0*j = 0.
0, 1
Suppose 3*n = -5*p + 23, -4*p + 25 = 5*n + p. Let j = 1 + n. Factor -3*l**2 + 3*l**j - 2*l**4 + 6*l**3 - 6*l**2 + 2*l.
-2*l*(l - 1)**3
Let t(m) be the third derivative of m**7/140 + m**6/20 + m**5/10 + 16*m**2. Factor t(w).
3*w**2*(w + 2)**2/2
Let q(d) be the second derivative of -d**6/70 - 6*d**5/35 + 3*d**4/28 + 13*d**3/7 + 24*d**2/7 + 112*d. Suppose q(o) = 0. What is o?
-8, -1, 2
Let s(g) = 194*g**2 - 210*g + 2. Let v(m) = -m. Let c(r) = 2*s(r) - 28*v(r). Factor c(d).
4*(d - 1)*(97*d - 1)
Let g(b) be the third derivative of b**5/12 + 185*b**4/24 + 76*b**2. Let g(i) = 0. What is i?
-37, 0
Suppose 4*k = -3*i + 29, k - 19 = -3*i - k. Suppose i + 22*m - 4*m**2 + 4 + 1 - 