d w such that g(w) = 0.
-1, 1
Suppose 1362 = 2*k + 4*k. Suppose -k + 227 - 4*h**2 = 0. Calculate h.
0
Let u(y) be the first derivative of 2*y**5/15 + y**4/3 + 2. Factor u(d).
2*d**3*(d + 2)/3
Suppose -5*v = -2*c + 18, 3*c - 2*v - 29 = -2. Let x be 9/28 + c/36. Factor -2/7 + x*m + 6/7*m**2.
2*(m + 1)*(3*m - 1)/7
Let m(u) = -10*u**2 - 138*u + 160. Let x(i) = i**2 - i - 1. Let d(b) = -m(b) - 12*x(b). Solve d(s) = 0.
1, 74
Let n = -121 + 121. Let v(p) be the second derivative of 4*p - 1/12*p**4 + n - 1/2*p**2 + 1/3*p**3. Solve v(u) = 0 for u.
1
Let y(q) be the first derivative of -q**6/900 + q**5/60 - q**4/15 + 22*q**3/3 + 12. Let p(k) be the third derivative of y(k). Factor p(u).
-2*(u - 4)*(u - 1)/5
Let w = 14468 - 14465. Factor -2/5*d**w + 42/5*d**2 - 48*d + 40.
-2*(d - 10)**2*(d - 1)/5
Suppose -2*p + s - 128 = 0, -3*p - 146 = -2*s + 46. Let c be (-1 - 33/(-20)) + 16/p. Factor -c*b**3 + 0*b**2 + 0 + 2/5*b.
-2*b*(b - 1)*(b + 1)/5
Let f be 4 + -2 + (2 + 0 - 3). Let q be 0*(f - 6/8). Factor 24/7*n**4 + 96/7*n**2 + q + 3/7*n**5 + 72/7*n**3 + 48/7*n.
3*n*(n + 2)**4/7
Let s(r) be the third derivative of -r**5/30 - 3*r**4/2 + 21*r**3 + 522*r**2. Solve s(q) = 0 for q.
-21, 3
Let n(c) = 3*c**3 - 4*c**2 + 4*c. Let q(o) = 6*o**3 - 7*o**2 + 7*o. Let s(r) = -7*n(r) + 4*q(r). Let s(l) = 0. Calculate l.
0
Determine g so that -10 + 2/5*g**2 + 48/5*g = 0.
-25, 1
Let u(v) = 9*v**3 - 36*v**2 + 201*v - 300. Let a(z) = -26*z**3 + 109*z**2 - 602*z + 900. Let g(n) = -6*a(n) - 17*u(n). What is s in g(s) = 0?
4, 5
Let u be 3 + 2 + (3 - 8) + 6. Suppose -u*w + 2 = -10. Find m such that 0 - 1/3*m - 1/6*m**w = 0.
-2, 0
Let w(s) = -2*s - 21. Let i be w(-12). Factor 16/3*t**i + 0 - 20/3*t**2 + 8/3*t - 4/3*t**4.
-4*t*(t - 2)*(t - 1)**2/3
Let i = 3/613 - -1205/4291. Find z such that 0 + 0*z**3 + 1/7*z**5 + 0*z - i*z**4 + 0*z**2 = 0.
0, 2
Let l be ((-32)/(-60))/((-4)/(-20)). Factor l*n**2 - 10/3*n - 2/3*n**3 + 4/3.
-2*(n - 2)*(n - 1)**2/3
Let -28*z + 126*z**3 - 146*z**2 + 39*z - 22*z**4 + 41*z - 10*z**5 = 0. Calculate z.
-26/5, 0, 1
Let l(u) be the first derivative of 1 - 1/18*u**3 + 0*u + 1/24*u**4 + 0*u**2. What is w in l(w) = 0?
0, 1
Let i(o) = -3*o + 14. Let h = 45 - 41. Let z be i(h). Factor -6/5 - 8/5*t - 2/5*t**z.
-2*(t + 1)*(t + 3)/5
Let p(u) = -u + 9. Let a be p(-19). Suppose -y = -15*y + a. Determine j so that 3*j + 3 + 3/4*j**y = 0.
-2
Let j(q) be the second derivative of -q**4/4 + 2*q**3 - 6*q**2 - 39*q - 2. Let j(s) = 0. Calculate s.
2
Suppose 6 = -5*c + 2*c - 3*h, 0 = c - 2*h - 4. Determine g, given that c - 4/3*g**4 + 4/3*g**2 - 4/3*g**5 + 0*g + 4/3*g**3 = 0.
-1, 0, 1
Let x be 7 + (14/(-49) - (-5)/(-7)). Let p be ((-27)/x + 3)/(-2). Suppose -1/4*h - 1/4*h**4 - p*h**2 + 0 - 3/4*h**3 = 0. Calculate h.
-1, 0
Let j(u) be the second derivative of -1/6*u**3 + 1/36*u**4 - 2/3*u**2 + 13*u + 0. What is y in j(y) = 0?
-1, 4
Let m be 10/(-4)*100/(-375). Let t(j) be the first derivative of 1 + 0*j - j**2 - m*j**3. Factor t(p).
-2*p*(p + 1)
Let w(v) = 429*v + 2577. Let q be w(-6). Find y, given that -4/3*y**2 + 2/3 + 2/3*y + 2/3*y**5 - 4/3*y**q + 2/3*y**4 = 0.
-1, 1
Let k(g) be the first derivative of -1/45*g**6 - 1/15*g**5 + 0*g**3 + 0*g**2 - 5*g + 9 - 1/18*g**4. Let l(b) be the first derivative of k(b). Factor l(a).
-2*a**2*(a + 1)**2/3
Let q(h) = -352*h + 4. Let v be q(0). Factor -20/3*j - 4/3*j**4 + 8/3 + 4/3*j**3 + v*j**2.
-4*(j - 1)**3*(j + 2)/3
Let z be -147 - -153 - 1*4. Factor 4/9*p - 2/9*p**z + 2/3.
-2*(p - 3)*(p + 1)/9
Let y(l) be the third derivative of 1/112*l**8 + 0*l**3 - 7/20*l**5 + 6*l**2 + 9/40*l**6 - 1/14*l**7 + 0*l + 0 + 1/4*l**4. Factor y(b).
3*b*(b - 2)*(b - 1)**3
Let f(x) be the second derivative of x**5/80 - 87*x**4/16 + 7569*x**3/8 - 658503*x**2/8 + 176*x. Find s, given that f(s) = 0.
87
What is r in -13*r**3 + 30*r + 21*r**3 - 7*r**4 - 3*r**4 - 3*r**3 + 65*r**2 = 0?
-2, -1/2, 0, 3
Suppose 5169*t - 5185*t = 0. Let -4/9*k**2 + t*k + 0 + 4/9*k**3 = 0. What is k?
0, 1
Suppose 628/5*s**2 + 344/5*s + 64/5*s**4 + 428/5*s**3 + 64/5 - 16/5*s**5 = 0. What is s?
-2, -1, -1/2, 8
Let p be (-645)/25 - (-2)/(-10). Let x be p/(-4) + (-1)/2. Suppose x*n + 0*n**2 - 1 + 3*n**2 + 4 = 0. What is n?
-1
Let m(q) be the third derivative of -q**7/2310 + 47*q**6/330 - 2209*q**5/110 + 103823*q**4/66 - 4879681*q**3/66 + 178*q**2. Factor m(g).
-(g - 47)**4/11
Let c(y) be the first derivative of 14*y**5/5 + 2*y**4 - 2*y**3 - 88. Factor c(n).
2*n**2*(n + 1)*(7*n - 3)
Let o(d) be the third derivative of -d**9/756 - d**8/420 - 8*d**3/3 + 19*d**2. Let q(b) be the first derivative of o(b). Determine v, given that q(v) = 0.
-1, 0
Let m(h) be the first derivative of h**6/15 + 2*h**5/25 - 9*h**4/5 + 28*h**3/15 + 17*h**2/5 - 6*h + 435. Suppose m(l) = 0. What is l?
-5, -1, 1, 3
Let q(j) be the first derivative of 0*j**3 - 1/10*j**4 + 0*j**2 - 4 - j + 7/50*j**6 - 3/20*j**5. Let k(g) be the first derivative of q(g). Factor k(w).
3*w**2*(w - 1)*(7*w + 2)/5
Let i(s) = s**2 + 3*s - 16. Let y be i(-5). Let n be (-4 + -5)*2/y. Determine p, given that 1/4*p**n + 27/4*p + 27/4 + 9/4*p**2 = 0.
-3
Factor -508*v**3 + 15*v + 259*v**3 + 18*v**2 + 252*v**3 - 36.
3*(v - 1)*(v + 3)*(v + 4)
Let m(y) = -9*y. Let t be m(-3). Suppose -t*r - 10*r**2 + 6 - 9*r**2 - 14*r**2 = 0. What is r?
-1, 2/11
Let k(a) be the first derivative of -5/8*a**3 + 3/2*a**2 - 10 - 3/2*a + 3/32*a**4. Factor k(o).
3*(o - 2)**2*(o - 1)/8
Let t(n) be the first derivative of n**5/30 + n**4/4 - 7*n**2 + 15. Let q(g) be the second derivative of t(g). Factor q(x).
2*x*(x + 3)
Factor 0 + 0*m + 2/5*m**4 - 6*m**2 + 4/5*m**3.
2*m**2*(m - 3)*(m + 5)/5
Let w = -346 + 1736/5. Let a be (-465)/100 - -5 - (-2)/8. Factor a*s**2 - w*s + 0.
3*s*(s - 2)/5
Let o(d) = -11*d + 179. Let g be o(16). Factor n**4 - 3/4*n**2 - 5/4*n**g + 5/4*n - 1/4.
(n - 1)**2*(n + 1)*(4*n - 1)/4
Let o(g) be the first derivative of -5*g**2/2 + 25*g - 59. Let j be o(5). Factor 1/6*u**2 + 0*u + 1/6*u**3 + j.
u**2*(u + 1)/6
Let k(m) = 3*m - 16. Let x be k(7). Factor -x*u**3 + 16*u**2 + 10*u + 8 + 10*u + 9*u**3.
4*(u + 1)**2*(u + 2)
Factor 0*r**4 - 32*r**4 - 44*r**3 - 897*r**2 + 885*r**2.
-4*r**2*(r + 1)*(8*r + 3)
Solve 20*j - 8*j**4 + 32/3 - 64/3*j**3 - 8/3*j**2 + 4/3*j**5 = 0 for j.
-1, 1, 8
Let s be -3*(7 + -11)/11340. Let a(t) be the third derivative of 0*t**3 - 2*t**2 - 1/270*t**6 + 0 + 0*t**4 + 0*t + 1/1512*t**8 - s*t**7 + 0*t**5. Factor a(i).
2*i**3*(i - 2)*(i + 1)/9
Solve 3 + 35*l**4 - 6 + 3 - 80*l**3 - 85*l**2 + 30*l = 0 for l.
-1, 0, 2/7, 3
Let j(r) be the third derivative of 1/45*r**5 + 1/24*r**4 + 1/360*r**6 + 0*r**3 + 0*r - 13*r**2 + 0. Solve j(h) = 0 for h.
-3, -1, 0
Let o be (1/(-3))/(48/(-720)). Let v(t) be the second derivative of -1/36*t**4 + 1/30*t**6 + 0*t**3 + 0*t**2 + 0 - 2*t - 1/30*t**o. Let v(k) = 0. What is k?
-1/3, 0, 1
Let z be 1 - (-72)/5 - 10. Let c(k) be the first derivative of -z*k - 3*k**4 - 12/25*k**5 - 9*k**2 - 37/5*k**3 + 11. Find n, given that c(n) = 0.
-3/2, -1
Let h(f) = -10*f - 53. Let w be h(-6). Factor -5*l - 12 + 4 + 5*l**3 + 2 - l**4 + w*l**2.
-(l - 6)*(l - 1)*(l + 1)**2
Factor -2/13*w**5 - 4/13*w**4 + 16/13*w**2 + 14/13*w + 4/13*w**3 + 4/13.
-2*(w - 2)*(w + 1)**4/13
Let b = -9 - -11. Factor 0 + 8/17*h + 2/17*h**3 - 10/17*h**b.
2*h*(h - 4)*(h - 1)/17
Let u = 49 + 86. Suppose 50 + d**2 + 0 + 130*d - 129*d**3 - 59*d**2 + u*d**3 = 0. Calculate d.
-1/3, 5
Let s(z) be the first derivative of z**3/18 + 5*z**2/6 - 4*z - 418. Factor s(a).
(a - 2)*(a + 12)/6
Let r = 32 + -30. Let k be (-14)/(-105) + r/10. Factor -k*o**2 + 0 - 2/3*o + 1/3*o**3.
o*(o - 2)*(o + 1)/3
Let y(i) = -i**2 - 119*i + 95. Let n(u) = 2*u**2 + 180*u - 142. Let a(l) = -5*n(l) - 8*y(l). Determine j, given that a(j) = 0.
1, 25
Let h be (-2610)/24 + 0 + (-1)/4. Let c = -107 - h. Factor 0*l**c + 0 + 2/3*l**4 + 4/3*l**3 + 0*l.
2*l**3*(l + 2)/3
Suppose -5*q - 57 = -77. Suppose -q*a - 7*a = 0. Factor 0*r + 1/2*r**2 + a.
r**2/2
Let k = -100 - -75. Let w be (-10)/12*(20/k + 0). Let 4/3*a**2 + 1/3*a**5 - 2/3*a**3 - 2/3*a**4 + 1/3*a - w = 0. What is a?
-1, 1, 2
Let k(v) = -v**4 - v**3 - v**2 - v - 1. Let l(f) = -6*f**4 + 14*f**3 + 24*f**2 - 16*f - 21. Let n(t) = -k(t) + l(t). Factor n(h).
-5*(h - 4)*(h - 1)*(h + 1)**2
Let w = 9949/15 - 663. Let c(t) be the first derivative of -6/5*t**2