se y(s) = 0. What is s?
-25, -1
Let w = 101 - 99. Let q = -59 + 59. Factor 0 - 2/5*r**w + q*r - 1/5*r**3.
-r**2*(r + 2)/5
Let a(d) = -2*d**2 - 64*d - 64. Let p(g) = g**2 - 2. Let j(r) = -a(r) + 2*p(r). Solve j(f) = 0 for f.
-15, -1
Let n(y) be the first derivative of 16 + 4/7*y - 2/21*y**3 - 1/7*y**2. Determine u so that n(u) = 0.
-2, 1
Let p(j) be the first derivative of j**4/2 - 22*j**3/9 + 19*j**2/9 - 2*j/3 + 60. Solve p(o) = 0.
1/3, 3
Let u be (3/(-5))/((-4)/20). What is w in w**u + 2*w**2 + 13*w - 7*w - 9*w = 0?
-3, 0, 1
Let m(o) be the first derivative of -5/4*o**4 - 25/2*o**2 - 12 - 20/3*o**3 - 10*o. Factor m(u).
-5*(u + 1)**2*(u + 2)
Let d(i) be the second derivative of -1/170*i**5 + 0*i**4 + 0 + 7*i + 1/255*i**6 + 0*i**2 + 0*i**3. Factor d(u).
2*u**3*(u - 1)/17
Suppose -l - 18 = -7*l. Factor c + c**3 + 19*c + 3 - 19 + 4*c**4 + 12*c**2 - 21*c**l.
4*(c - 4)*(c - 1)**2*(c + 1)
Let f(p) = p**3 + 10*p + 103 - 34*p**2 - 13*p + 0*p**2 + 2. Let l be f(34). Factor 2/7*t**l - 4/7*t**2 + 2/7*t + 0.
2*t*(t - 1)**2/7
Let m(j) be the first derivative of -j**5/10 - 3*j**4/8 + 5*j**3/6 + 3*j**2/4 - 2*j + 155. Factor m(q).
-(q - 1)**2*(q + 1)*(q + 4)/2
Let a(u) be the first derivative of -5*u**3/3 - 75*u**2/2 - 220*u + 322. Factor a(k).
-5*(k + 4)*(k + 11)
Suppose -91*h = -90*h - 2*l, -2 = -2*h + 3*l. Let c be (5/(-2))/((-1)/2). Factor -3/7*n**c - 6/7*n**h + 3/7*n + 0*n**3 + 6/7*n**2 + 0.
-3*n*(n - 1)*(n + 1)**3/7
Let f = -36 - -39. Factor -70*t - 192 + 88*t + 30*t - f*t**2.
-3*(t - 8)**2
Let a(u) = u**4 - u**3 + u + 1. Suppose -5*h - 21 = -16. Let o(k) = 4*k**5 + 10*k**4 + 2*k**3 + 2*k + 2. Let c(y) = h*o(y) + 2*a(y). What is i in c(i) = 0?
-1, 0
Let b(l) be the first derivative of l**3/18 - 5*l**2/4 + 7*l/3 - 74. Find r, given that b(r) = 0.
1, 14
Let u be ((-3)/6)/(46/(-184)). Let -2/13*l**4 - 2/13*l**5 + 0 + 0*l**u + 0*l + 0*l**3 = 0. What is l?
-1, 0
Let m(f) = -24*f - 2. Let v be m(2). Let x = v - -152/3. Find w, given that 2*w**2 - 2*w**3 + 0 + x*w**4 - 2/3*w = 0.
0, 1
Let k(y) = 11*y + 8. Let w be k(8). Let j = w - 96. Determine z, given that j*z**3 + 1/5*z**5 + 0*z**2 + 0*z + 2/5*z**4 + 0 = 0.
-2, 0
Let k = 802 + -799. Let g(f) be the third derivative of -1/140*f**6 + 0*f + 0 - 1/735*f**7 + 0*f**k - 1/84*f**4 + f**2 - 1/70*f**5. Factor g(n).
-2*n*(n + 1)**3/7
Let -6975*f**3 + 3484*f**3 + 690*f**2 + 3486*f**3 = 0. What is f?
0, 138
Suppose 19 = 18*c - 35. Let i(n) be the third derivative of -n**c - 1/20*n**5 + 0*n + 3/8*n**4 + 3*n**2 + 0. Suppose i(w) = 0. Calculate w.
1, 2
Let z(h) be the first derivative of -4 - 1/120*h**5 - 1/4*h**3 + 0*h - 1/12*h**4 + 3/2*h**2. Let l(a) be the second derivative of z(a). Factor l(w).
-(w + 1)*(w + 3)/2
Let u be (-2)/7 - 36/(-126). Let i(t) be the third derivative of 0*t + 1/48*t**6 - 1/30*t**5 + u + 0*t**3 - 1/210*t**7 + 1/48*t**4 + 2*t**2. Factor i(g).
-g*(g - 1)**2*(2*g - 1)/2
Let c(q) = 2*q**2 - 23*q - 307. Let k be c(-8). Factor 4/5*f**4 + 0*f**2 + 0*f**3 + 0 - 6/5*f**k + 0*f.
-2*f**4*(3*f - 2)/5
Let x be (-10)/(-5) + 1*2. Let h = x + 4. Find k such that 3*k**5 + 8*k**3 + 12*k**3 - 12*k**4 - h*k**3 = 0.
0, 2
Let p = 1561/62 - 91787/3472. Let h = 21/16 - p. Factor -12/7*a**3 + 0 - 8/7*a**5 - h*a**4 + 0*a - 2/7*a**2.
-2*a**2*(a + 1)**2*(4*a + 1)/7
Let m(a) = -2*a**3 - 9*a**2 + 7*a + 12. Let z be m(-5). Solve 3*l**3 + z + 4*l**3 - 6*l**2 - 4*l**3 + 4 - 3*l = 0.
-1, 1, 2
Let d(t) = -t**2 - 4 + 5*t**2 - 3*t - 2*t - 9*t**2. Let r(k) = -4*k**2 - 5*k - 4. Let l(g) = 3*d(g) - 4*r(g). Factor l(u).
(u + 1)*(u + 4)
Factor -1/6*l**2 + 5/2 + 1/3*l.
-(l - 5)*(l + 3)/6
Solve 8 + 38/5*s - 2/5*s**2 = 0 for s.
-1, 20
Let a(g) be the second derivative of 121*g**7/14 - 33*g**6/2 - 1017*g**5/10 + 65*g**4 - 12*g**3 + 390*g. Find j, given that a(j) = 0.
-2, 0, 2/11, 3
Determine q, given that -q**3 - 7 + 3*q**3 - 10 - 18 - 78*q - 36*q**2 - 5 = 0.
-1, 20
What is p in -32/3*p**2 - 1/3*p**5 + 8/3*p**3 - 16/3*p + 64/3 + 4/3*p**4 = 0?
-2, 2, 4
Let w(i) = -i**2 + 28*i + 29. Let m be w(26). Let t = -78 + m. Factor -2/17 + 2/17*g**2 - 2/17*g + 2/17*g**t.
2*(g - 1)*(g + 1)**2/17
Let o(a) be the first derivative of -a**7/630 + a**5/180 + 5*a**2 + 25. Let k(b) be the second derivative of o(b). Suppose k(v) = 0. Calculate v.
-1, 0, 1
Let x be (-2)/((-8)/31) - (-10)/40. Suppose -12*n + x*n = -12. What is a in 2/3*a**n + 18 + 18*a + 6*a**2 = 0?
-3
Let f(g) = g**5 + 13*g**4 + 6*g**3 - 26*g**2 + 2. Let k(h) = 12*h**5 + 168*h**4 + 78*h**3 - 339*h**2 + 27. Let m(r) = 27*f(r) - 2*k(r). Factor m(q).
3*q**2*(q - 1)*(q + 2)*(q + 4)
Let q(g) be the second derivative of -1/60*g**5 + 0 + 1/36*g**4 - 9*g + 0*g**3 + 0*g**2. What is j in q(j) = 0?
0, 1
Let x(o) = -4*o + 6 + 6*o + 4*o. Let u be x(5). Let 6 + u*a + 6 - 33*a**2 - 36*a**3 + a**4 + 20*a**4 = 0. What is a?
-1, -2/7, 1, 2
Suppose -17 - 9*i**4 - 12 - 19 + 6*i**3 + 6*i**3 - 3*i**5 + 48*i**2 = 0. Calculate i.
-2, 1, 2
Determine c so that 2/11*c**5 + 0*c**2 + 0 + 0*c + 8/11*c**3 + 10/11*c**4 = 0.
-4, -1, 0
Let j = 86067/7 - 12295. Factor 8/7 + 6/7*a - j*a**2.
-2*(a - 4)*(a + 1)/7
Find d, given that -9 - 62*d**2 + 331*d + 14*d**3 - 15 - 251*d = 0.
3/7, 2
Let x = 17 + -12. Suppose -x*k - 9 = -19. Solve -2*c**4 + c**2 - c + 5*c**4 + c**3 - 2*c**4 - k*c**2 = 0 for c.
-1, 0, 1
Let q be (0 - 17)*(-146)/365 + (-6 - 0). Factor -4*s + 0 + q*s**2.
4*s*(s - 5)/5
Let x(a) = -80*a**3 - 640*a**2 - 6*a + 51. Let z be (4 + 7/((-21)/(-54)))/2. Let w(s) = 16*s**3 + 128*s**2 + s - 10. Let r(p) = z*w(p) + 2*x(p). Factor r(n).
(n + 8)*(4*n - 1)*(4*n + 1)
Let v be (-10)/(-15) - 393/9. Let z be (-42 - v)*20/38. Factor -z*n + 4/19*n**2 + 4/19.
2*(n - 2)*(2*n - 1)/19
Let r(h) = -h**3 + h**2 - 1. Let x be r(-1). Let v(t) = t**3 + 2*t**2 - 1. Let y be v(x). Factor -11 - 30*l**3 - 9 - 5*l - 41*l - 5*l**4 - 14*l - 65*l**y.
-5*(l + 1)**2*(l + 2)**2
Determine s, given that 1/3 - 1/4*s - 1/12*s**2 = 0.
-4, 1
Let f(z) be the third derivative of -z**5/150 - z**4/4 - 14*z**3/15 - 88*z**2. Determine x so that f(x) = 0.
-14, -1
Suppose 5*t - g + 27 - 87 = 0, t + 3*g - 28 = 0. Find x such that 3*x**2 - 2 - 2*x**3 - 4 - t*x**2 - 14*x = 0.
-3, -1
Suppose -4*u - 2*u**2 - u - 5*u**4 - 13*u**2 - 15*u**3 = 0. Calculate u.
-1, 0
Suppose -4*f = 5*a - 2284, 1 = 2*f - f. Let l be 4/14 - a/(-21). Find s, given that 5*s**2 + 12*s + 2 - l - 12*s = 0.
-2, 2
Let 236*w**2 + 282*w**2 - 474*w**2 + 4*w**3 = 0. Calculate w.
-11, 0
Let l(h) be the third derivative of -5*h**6/24 + 7*h**5/6 - 35*h**4/24 - 5*h**3/3 + 47*h**2 + 2*h. Factor l(c).
-5*(c - 2)*(c - 1)*(5*c + 1)
Let h(z) be the first derivative of -z**6/3 + 12*z**5/5 + 73*z**4/2 + 428*z**3/3 + 252*z**2 + 208*z + 95. Factor h(y).
-2*(y - 13)*(y + 1)*(y + 2)**3
Factor 10/11*t**2 + 4/11 - 14/11*t.
2*(t - 1)*(5*t - 2)/11
Suppose 3*c - 90 = -4*v, 5*c - 52 = -0*v - 2*v. Let m(s) = s**2 + 15*s + 9. Let g(d) = -3*d. Let o(u) = v*g(u) + 3*m(u). Find b such that o(b) = 0.
3
Let t(z) be the second derivative of z**7/42 - 11*z**6/15 + 139*z**5/20 - 89*z**4/6 - 70*z**3/3 + 100*z**2 + 469*z. Solve t(g) = 0 for g.
-1, 1, 2, 10
Suppose -4*z - 3*r + 6 = -8*z, r - 2 = -4*z. Suppose z = 3*f + 3*c - 2*c - 14, c + 1 = 0. Suppose -2*o + 3 + 5*o - o**2 - f = 0. Calculate o.
1, 2
Let h(x) = -85*x**2 + 1680*x - 50. Let l(w) = 7*w**2 - 140*w + 4. Let t(i) = 2*h(i) + 25*l(i). Factor t(z).
5*z*(z - 28)
Let w(a) be the second derivative of -14*a**7/3 - 574*a**6/5 - 3567*a**5/5 + 2137*a**4/3 + 1344*a**3 + 648*a**2 - 15*a. Find x such that w(x) = 0.
-9, -2/7, 1
Suppose -4*u + 0*u = -2*x - 92, 3*u + 2*x = 55. Determine c so that 10 - 25*c**3 + 6*c + 5*c**2 + u*c - 2*c - 15*c**4 = 0.
-1, -2/3, 1
Suppose 0*p - 2*p - 16 = 2*y, -14 = 4*p - 5*y. Let u be 15/p*(-8)/10. Factor -11*h**u - 2 + 2*h + 18*h**3 + 2 - 9*h**4.
-h*(h - 1)*(3*h - 2)*(3*h - 1)
Let 4*z**2 + 74/13*z**3 - 10/13*z**4 + 0 - 32/13*z = 0. What is z?
-1, 0, 2/5, 8
Let i(t) be the third derivative of t**8/147 - 8*t**7/245 + 13*t**6/210 - 2*t**5/35 + t**4/42 + 82*t**2. Factor i(q).
4*q*(q - 1)**2*(2*q - 1)**2/7
Let s(d) = -6*d**4 + 6*d**3 + 6*d**2 - 4*d - 2. Let z(a) = a**4 - 2*a**3 + 1. Let u(i) = 2*s(i) + 2*z(i). Let u(b) = 0. What is b?
-1, -1/5, 1
Let r(f) be the first derivative of -f**5/3 - 3*f**4/4 - f**3/3 + f**2/6 + 438. Determine y so that r(y) = 0.
-1, 0, 1/5