 2*o. Factor c(f).
-2*f*(f + 2)**2/5
Let a(c) be the second derivative of 1/17*c**2 - 1/357*c**7 + 1/255*c**6 - 1/51*c**4 - 8*c + 1/85*c**5 + 0 - 1/51*c**3. Factor a(z).
-2*(z - 1)**3*(z + 1)**2/17
Let a(h) be the third derivative of 1/6*h**3 + 1/480*h**6 + 0*h + 0 + 5*h**2 + 1/80*h**5 + 1/32*h**4. Let f(x) be the first derivative of a(x). Factor f(t).
3*(t + 1)**2/4
Suppose -22*l + 116 = 7*l. Let t be -1*8*(-2)/4. Determine z so that 0 - 8*z**3 + 8*z**l + 0 - 4*z**5 + t*z**3 = 0.
0, 1
Let o = 97 - 94. Suppose o*h - 5*t + 6 = -2*t, -2*h - 2*t = -12. Determine s so that 8/9 - 10/9*s**h + 16/9*s = 0.
-2/5, 2
Let l = 7/67 - -32/335. Suppose 0 - 2/5*u**3 + l*u**2 + 1/5*u**4 + 0*u = 0. What is u?
0, 1
Let y(h) = h**3 + 7*h**2 + 10*h + 3. Let m be y(-5). What is i in -3*i**3 + 6 + 10*i**2 + 15*i + 2*i**2 - 3*i**4 - m*i**2 = 0?
-1, 2
Find s, given that 1/3*s**2 + 0*s**3 - 1/6 - 1/6*s**4 + 0*s = 0.
-1, 1
Let g(j) = 11*j + 132. Let l be g(-12). Let v(h) be the third derivative of l*h**3 - 3/40*h**4 + 0 + 6*h**2 + 0*h - 1/100*h**5. Factor v(c).
-3*c*(c + 3)/5
Let l = 1087 - 161966/149. Let a = l - -605/447. Determine c, given that -2*c - 2/3*c**2 - a = 0.
-2, -1
Let j(r) be the second derivative of 0 - 1/30*r**6 + 1/6*r**4 - 1/20*r**5 + 9*r + 0*r**3 + 0*r**2. Factor j(x).
-x**2*(x - 1)*(x + 2)
Let h(n) = n + 32*n**2 - 33*n**2 + 0*n - 1. Let g(m) = -8*m - 32. Let r(a) = -2*a - 8. Let b(w) = 2*g(w) - 9*r(w). Let u(s) = 2*b(s) + 4*h(s). Solve u(q) = 0.
-1, 3
Find m, given that 84*m + 9/2*m**3 + 75/2*m**2 + 24 = 0.
-4, -1/3
Let j(i) = -i + 10. Let h be j(10). Suppose -5*l + 7*l = h. Factor -m**2 - 1/3*m**4 - 1/3*m - m**3 + l.
-m*(m + 1)**3/3
What is j in -5*j**3 - 142060*j + 551*j**2 + 2419*j**2 + 38811960 - 446000*j = 0?
198
Let i = 199 - 200. Let k be (11 - 9)*(i/(-14) + 0). What is d in 1/7*d**4 + 0*d + 1/7*d**3 - 1/7*d**2 + 0 - k*d**5 = 0?
-1, 0, 1
Let i(b) be the first derivative of -b**6/72 - b**5/12 + 4*b**3/3 + 10. Let z(o) be the third derivative of i(o). Factor z(j).
-5*j*(j + 2)
Let b = -12275/3 + 4093. Factor 0*x**4 - 8*x**3 + 0 - 4*x + b*x**5 + 32/3*x**2.
4*x*(x - 1)**3*(x + 3)/3
Factor 0*a**2 + 4/7*a**4 - 24/7*a**3 + 0 + 0*a.
4*a**3*(a - 6)/7
Suppose 52 = 4*q + 8. Suppose -q*x + 4*x = -21. Let -t**2 + t + x*t - 5*t**2 + 2*t**3 + 0*t**3 = 0. Calculate t.
0, 1, 2
Let s = -1983 - -1985. Factor 0 + 2/3*a**s + 2/3*a.
2*a*(a + 1)/3
Let c be (-9)/(-2)*(-1 + 21). Let t be (-2 - -4) + c/(-50). Let -2/5 + 1/5*o**2 + t*o = 0. What is o?
-2, 1
Let i(l) be the second derivative of 1/20*l**5 + 0 + 1/60*l**6 - 1/24*l**4 + 0*l**2 - 1/6*l**3 + 16*l. Factor i(c).
c*(c - 1)*(c + 1)*(c + 2)/2
Let l(o) = o**2 + 19*o + 13. Let b(k) = 2*k + 1. Let t(x) = 5*b(x) - l(x). Factor t(u).
-(u + 1)*(u + 8)
Let x be 10/(-45) + 546/27. Suppose -4*i + x = i. Factor 14 + g**i + 3*g**3 + 2*g**2 - 14.
g**2*(g + 1)*(g + 2)
Suppose 33/7*b - 3/7*b**2 + 78/7 = 0. Calculate b.
-2, 13
Let b(c) be the third derivative of c**5/4 + 5*c**4/12 - 5*c**3/6 + 15*c**2 + 1. Find m, given that b(m) = 0.
-1, 1/3
Let r(q) = q**4 - 2*q**3 + 7*q**2. Let c(a) = -a**3 + a**2. Let p(f) = 5*c(f) - r(f). Solve p(s) = 0 for s.
-2, -1, 0
Suppose 33/4*q**4 + 9/4*q**5 + 15/4*q**2 + 37/4*q**3 + 1/2*q + 0 = 0. Calculate q.
-2, -1, -1/3, 0
Let q(d) be the first derivative of -d**5/5 + 13*d**4/2 - 47*d**3 - 182*d**2 - 196*d - 257. Determine n so that q(n) = 0.
-1, 14
Let q = 12 - 10. Factor -108*d - 20*d**4 - 12*d**4 + q*d**5 + 2*d**5 + 72*d**3.
4*d*(d - 3)**3*(d + 1)
Suppose 16 = 7*g + g. Let 29*k**g + 4*k**3 - 10*k**3 - 38*k**2 = 0. Calculate k.
-3/2, 0
Let f(n) be the first derivative of n**5 + 15*n**4/4 + 5*n**3/3 - 15*n**2/2 - 10*n + 37. Factor f(c).
5*(c - 1)*(c + 1)**2*(c + 2)
Suppose 0 = -429*u - 178*u + 1214. Factor -2/15*p**u - 16/15*p - 8/5.
-2*(p + 2)*(p + 6)/15
Suppose 14*c - 50 = -22. Let h(f) be the third derivative of 0 + 0*f**3 - 3*f**c + 1/4*f**4 + 0*f + 1/20*f**5. Factor h(a).
3*a*(a + 2)
Let w be 294/(-2499) - 4/(-34). Factor 0*q + 2/5*q**4 + 4/5*q**2 - 6/5*q**3 + w.
2*q**2*(q - 2)*(q - 1)/5
Find g, given that 32/7*g**2 - 60/7*g + 16/7 + 12/7*g**3 = 0.
-4, 1/3, 1
Let g = -47633/45 + 9541/9. Let d(l) = -l**3 - 3*l**2 - l - 1. Let m be d(-3). Let -22/5*o**m + 6/5*o**3 - g + 24/5*o = 0. What is o?
2/3, 1, 2
Let y be (-13)/(-3 - 10)*(1 - -1). Factor 5/3*j - 20/3*j**y + 0.
-5*j*(4*j - 1)/3
Let t(s) be the second derivative of -s**6/3 + 33*s**5/10 + 23*s**4/10 + 7*s**3/15 - 3*s - 11. Find n such that t(n) = 0.
-1/5, 0, 7
Let m(a) be the second derivative of -5/6*a**4 - 5/6*a**3 - 1/4*a**5 - 6*a + 0*a**2 + 0. What is j in m(j) = 0?
-1, 0
Factor 4/11*c - 2/11*c**4 + 0*c**2 - 4/11*c**3 + 2/11.
-2*(c - 1)*(c + 1)**3/11
Let o(j) be the first derivative of -8*j**3/3 + 11*j**2 + 6*j + 69. Suppose o(v) = 0. What is v?
-1/4, 3
Let d(t) be the second derivative of 0*t**2 + 2/21*t**7 + 0*t**4 + 0*t**5 + 0 - 8/15*t**6 + 0*t**3 - 4*t. Factor d(c).
4*c**4*(c - 4)
Let g(r) = 12*r**2 - 60*r + 148. Let i(h) = -10*h**2 + 57*h - 147. Let b(x) = 3*g(x) + 4*i(x). Suppose b(l) = 0. What is l?
6
Let u(t) be the third derivative of -167*t**5/30 + 13*t**4/3 - 4*t**3/3 - 46*t**2. Let z(h) = -h**2. Let j(a) = -u(a) - 4*z(a). Factor j(f).
2*(13*f - 2)**2
Let u(h) be the third derivative of -h**6/60 + h**5/30 + h**4/6 + 2*h**2 - 48*h. Factor u(g).
-2*g*(g - 2)*(g + 1)
Let w(f) be the first derivative of 0*f**2 - 27/14*f**4 + 42 + 0*f + 3/35*f**5 + 81/7*f**3. Factor w(k).
3*k**2*(k - 9)**2/7
Let m(u) be the first derivative of 2*u**5/45 + u**4/9 - 14*u**3/27 + 4*u**2/9 - 42. Factor m(f).
2*f*(f - 1)**2*(f + 4)/9
Let m(k) be the second derivative of 5*k**7/42 - k**6/3 + 5*k**4/6 - 5*k**3/6 - 13*k + 2. Factor m(j).
5*j*(j - 1)**3*(j + 1)
Let u(s) = -s**2 - s + 1. Let k(h) = 7*h**2 + 4*h - 16. Let f(c) = -k(c) - 4*u(c). Find q such that f(q) = 0.
-2, 2
Let u = 51 + -51. Suppose 3*o - 2*o = 2. Factor u*m**o - 2/3*m**3 + 0*m + 0.
-2*m**3/3
Suppose 0*c + 1269 = -5*c - 3*s, -4*s - 12 = 0. Let u be c/49*5/(-10). Let 36/7*k + 3/7*k**3 - 24/7 - u*k**2 = 0. Calculate k.
2
Let 0 - 120/7*q**2 + 3/7*q**5 + 48/7*q - 30/7*q**4 + 99/7*q**3 = 0. What is q?
0, 1, 4
Let q be 4/(-74) + 15700/16650. Suppose -2*i + q*i**3 + 4/9 + 2/3*i**2 = 0. Calculate i.
-2, 1/4, 1
Let c(o) be the third derivative of o**7/315 - 37*o**6/180 - 19*o**5/45 + 167*o**2 - o. Solve c(q) = 0 for q.
-1, 0, 38
Let t(o) be the first derivative of o**4/10 + 38*o**3/15 + 99*o**2/5 + 162*o/5 + 133. Factor t(g).
2*(g + 1)*(g + 9)**2/5
Let p(u) = 5*u**4 - 7*u**3 - 12*u**2 - 11. Let q(f) = 3*f**4 - 3*f**3 - 6*f**2 - 6. Let k(j) = -6*p(j) + 11*q(j). Factor k(c).
3*c**2*(c + 1)*(c + 2)
Let v(o) be the third derivative of o**7/350 - o**6/100 - o**5/100 + o**4/20 + 110*o**2. Factor v(z).
3*z*(z - 2)*(z - 1)*(z + 1)/5
Let x be -4*(2 + 0)*8/(-80). Factor 76/5*y**3 + 64/5*y + 16/5 + x*y**5 + 28/5*y**4 + 20*y**2.
4*(y + 1)**3*(y + 2)**2/5
Let x be 26/14 - 2 - (-5)/35. Let g(s) be the first derivative of x*s**2 + 0*s**3 + 0*s + 2 - 1/14*s**4 - 4/35*s**5. Determine y, given that g(y) = 0.
-1/2, 0
Factor -9 + 3*u**4 + 39*u**2 - 12*u + 0*u**4 + 33*u**2 - 66*u**2 + 12*u**3.
3*(u - 1)*(u + 1)**2*(u + 3)
Let t(j) = 10*j - 134. Let f be t(14). Let d(r) be the second derivative of 7/24*r**3 - 5/48*r**4 + f*r + 1/80*r**5 - 3/8*r**2 + 0. Factor d(i).
(i - 3)*(i - 1)**2/4
Let s(w) be the second derivative of -w**4/3 + 68*w**3/3 - 66*w**2 + 2*w - 1. Determine n, given that s(n) = 0.
1, 33
Let z = 1 + 0. Suppose -24 = 117*j - 125*j. Solve -z + 4*g**4 - j + 4 = 0.
0
Let c be ((-1)/(-2))/((-6)/(-156)). Solve 0*d**2 + d**5 + 12*d**3 - c*d**3 + 0*d**2 = 0 for d.
-1, 0, 1
Let m(u) = -u**3 - u**2 + u. Let f(b) = 6*b**3 - 21*b**2 + 60*b - 54. Suppose -5*w - 10*w = 15. Let a(h) = w*f(h) - 3*m(h). Determine s so that a(s) = 0.
2, 3
Let f(v) be the third derivative of v**8/10080 + v**7/1680 - v**6/360 + v**5/10 - 3*v**2. Let u(d) be the third derivative of f(d). Let u(r) = 0. Calculate r.
-2, 1/2
Let s be -15 - (-16 + -4 - -5). Determine g, given that -6*g**5 - 6/5*g**3 + 52/5*g**4 + 8/5*g - 24/5*g**2 + s = 0.
-2/3, 0, 2/5, 1
Let j(k) be the first derivative of 0*k + 25 + 4/5*k**5 - 3/2*k**2 - 11/4*k**4 + 10/3*k**3. Let j(t) = 0. Calculate t.
0, 3/4, 1
Let t(s) be the first derivative of -5*s**2 + 0*s - 1/18*s