e the second derivative of 0 + s*r**3 + 4*r + 1/20*r**5 + 0*r**2 + 1/12*r**4. Determine b, given that c(b) = 0.
-1, 0
Let r(l) be the second derivative of l**6/60 - l**4/12 - 13*l**2/2 - l. Let y(k) be the first derivative of r(k). Determine o so that y(o) = 0.
-1, 0, 1
Suppose z + 34 = -3*x - 3*z, 2*x + 3*z + 21 = 0. Let k = -11 - x. Factor k*c**2 + 5*c + 8*c**2 + 6*c - 5*c.
3*c*(5*c + 2)
Let t = 9267 - 64857/7. Factor -3*m + 6/7 - t*m**2.
-3*(m + 2)*(4*m - 1)/7
Let n be (18 - 19)*(-16)/(-6) - 4/(-1). Suppose 2*j = j + 2. Suppose -n - 4/3*m**j - 8/3*m = 0. Calculate m.
-1
Suppose 3*p = 4*a - 7*a + 15, 4 = 4*p. Let n be (3/a)/((-10)/(-60)). Factor -33/2*x + 6*x**2 - n.
3*(x - 3)*(4*x + 1)/2
Factor -1/8*d**2 + 5/8*d + 7/4.
-(d - 7)*(d + 2)/8
Let n = -22071 + 22071. Find j, given that n + 2/3*j**3 - 2/3*j**2 - 4/3*j = 0.
-1, 0, 2
What is n in -10/9*n**3 + 2/3*n**4 + 2/9*n**2 + 2/9*n + 0 = 0?
-1/3, 0, 1
Suppose 0*f - 48 = -2*f. Let l = f - 24. Factor -2/7*d**4 - 2/7*d + 2/7*d**2 + l + 2/7*d**3.
-2*d*(d - 1)**2*(d + 1)/7
Let r be (15/9 - 2)*-9. Let t(a) = -a**3 + 4*a**2 + a - 10. Let x be t(r). Find k such that 2/9*k + 2/9*k**3 + 4/9*k**x + 0 = 0.
-1, 0
Let s(u) be the first derivative of -u**6/120 + u**5/40 + u**4/16 - 32*u - 27. Let b(i) be the first derivative of s(i). Determine g, given that b(g) = 0.
-1, 0, 3
Let k be ((-6)/(-24))/((-802)/(-16)). Let l = 812/2005 - k. Find z, given that 2/5*z - l*z**3 + 0*z**2 + 0 = 0.
-1, 0, 1
Let z(d) = 6*d**3 + 14*d**2 - 3*d**3 + 8*d + d - 4*d**2 + 2. Let j(s) = 6*s**3 + 20*s**2 + 18*s + 4. Let p(n) = 2*j(n) - 5*z(n). Factor p(u).
-(u + 1)*(u + 2)*(3*u + 1)
Suppose -6*l - 1/8*l**2 - 72 = 0. Calculate l.
-24
Let u(q) be the first derivative of 2*q**7/315 + q**6/90 + 19*q**2/2 + 12. Let p(o) be the second derivative of u(o). Find z, given that p(z) = 0.
-1, 0
Let k(x) = 16*x**4 - 12*x**3 - 24*x**2 + 9*x + 11. Let w(i) = -3*i**4 + 2*i**3 + 5*i**2 - 2*i - 2. Let j(v) = 6*k(v) + 33*w(v). Factor j(g).
-3*g*(g - 1)**2*(g + 4)
Let y(t) be the third derivative of t**5/12 - 20*t**4/3 + 50*t**3 + 420*t**2. Solve y(f) = 0.
2, 30
Let m(t) be the first derivative of -t**3/12 + t**2/2 + 5*t/4 + 141. Let m(x) = 0. What is x?
-1, 5
Solve 0*m + 1/2*m**4 + 0 - 1/2*m**2 - 1/2*m**3 + 1/2*m**5 = 0 for m.
-1, 0, 1
Let d = -225 - -14. Let h = d + 211. Solve h*b + 8/11 - 2/11*b**2 = 0 for b.
-2, 2
Let b(c) be the third derivative of c**7/210 - c**6/90 - c**5/30 + c**4/6 - 2*c**3 + 15*c**2. Let t(g) be the first derivative of b(g). Factor t(q).
4*(q - 1)**2*(q + 1)
Factor 0 + 11/6*q + 1/6*q**2.
q*(q + 11)/6
What is t in -1/4*t**5 - 5/4*t**3 + 0*t - 7/2*t**2 + 2*t**4 + 0 = 0?
-1, 0, 2, 7
Let b be ((-2)/3 + -1)*18/6. Let p be (-198)/(-105) + (-1)/(b/2). What is n in 2*n**3 + p*n - 38/7*n**2 + 8/7 = 0?
-2/7, 1, 2
Let d(r) be the first derivative of r**5/120 + r**4/12 + 5*r**2/2 - 14. Let o(v) be the second derivative of d(v). Factor o(h).
h*(h + 4)/2
Let v(x) = -5*x**4 + 4*x**3 - 3*x**2 + 4. Let z(u) = 8*u**4 - 7*u**3 + 6*u**2 - 7. Let b(j) = -7*v(j) - 4*z(j). Determine s so that b(s) = 0.
-1, 0, 1
Factor -2*k**3 - 127*k**3 + 4*k**2 + 3*k**2 - k**2.
-3*k**2*(43*k - 2)
Let h = 79 + 101. Let i be h/168 + 8/(-14). Factor 1/4*c + 0*c**3 + 0 - i*c**4 - 1/4*c**5 + 1/2*c**2.
-c*(c - 1)*(c + 1)**3/4
Let t(u) be the second derivative of 1/5*u**2 + 2*u - 1/75*u**6 + 1/25*u**5 + 0*u**4 - 2/15*u**3 + 0. Determine s so that t(s) = 0.
-1, 1
Let t(l) be the third derivative of l**5/20 - 3*l**4/4 + 5*l**3/2 - 8*l**2 + 19*l. Solve t(y) = 0.
1, 5
Let o(s) be the third derivative of -7/360*s**6 - 47*s**2 + 1/288*s**8 + 7/144*s**4 + 0 + 1/18*s**3 - 1/90*s**5 + 1/630*s**7 + 0*s. Suppose o(i) = 0. What is i?
-1, -2/7, 1
Let n be ((-1053)/(-24))/(-3) + 3/(-8). Let q(g) = -2*g**2 - 32*g - 28. Let p be q(n). Solve -2/9*b**p - 4/9*b - 2/9 = 0 for b.
-1
Let x be 224/5950 - 28/(-350). Factor 8/17*w + x*w**2 - 10/17.
2*(w - 1)*(w + 5)/17
Let t(i) = -i**2 - i. Let y be 2*5*(-19)/38. Let k(q) = q**2 + 9*q - 1. Let f(x) = y*t(x) - k(x). Solve f(b) = 0.
1/2
Let h = -118 + 121. Factor 65*g**h - 43*g**3 + g + 0*g**5 + 9*g**5 + 8*g**2 + 24*g**4.
g*(g + 1)**2*(3*g + 1)**2
Suppose 3*h - 47 = 2*h + 4*z, -z = -h + 50. Factor 4 - u**2 - 3*u**2 + 49*u**3 - h*u**3 + 2*u.
-2*(u - 1)*(u + 1)*(u + 2)
Let c(v) be the first derivative of -v**7/195 - 4*v**6/195 - 11*v**5/390 - v**4/78 - 5*v**2/2 + 11. Let o(u) be the second derivative of c(u). Factor o(s).
-2*s*(s + 1)**2*(7*s + 2)/13
Solve -7*q**2 - 12*q**2 + 21*q**2 - 6*q**2 - 8*q = 0 for q.
-2, 0
Factor 4/3*t**3 - 1/3*t**4 - 2/3*t**2 + 1 - 4/3*t.
-(t - 3)*(t - 1)**2*(t + 1)/3
Suppose 0 = 7*s - 1 - 13. Solve 2*q**3 - 4*q**3 - 4*q**2 - s*q**3 = 0.
-1, 0
Solve 0 + 4/9*s**2 - 28/9*s = 0 for s.
0, 7
Let v(a) be the third derivative of a**5/60 - 17*a**4/24 - 10*a**3 - 636*a**2. What is y in v(y) = 0?
-3, 20
Let u(g) = g**2 + g + 1. Let f(s) = 3*s**3 - 2*s**2 - 8*s - 8. Let j be -2 - (4 - (11 - 4)). Let v(n) = j*f(n) + 5*u(n). Factor v(p).
3*(p - 1)*(p + 1)**2
Suppose b - 58 = -46. Let h be (1/b)/((-3)/(-8)). Factor 2/9*u + h - 4/9*u**2.
-2*(u - 1)*(2*u + 1)/9
Suppose -j + 339 - 137*j**2 - 32 - 44 + j**3 - 126 = 0. What is j?
-1, 1, 137
Let y = -162003/517 - -6400/47. Let k = -177 - y. Determine i, given that -2/11*i**2 + k + 2/11*i - 2/11*i**3 = 0.
-1, 1
Let k be ((-189)/(-279))/((-2)/(-12)*-4). Let t = -16/31 - k. Find z such that -z**4 + 0*z**3 + 1/2*z**5 + 0 - t*z + z**2 = 0.
-1, 0, 1
Let z(b) be the first derivative of -26*b**3/57 + 16*b**2/19 - 6*b/19 + 371. Find w, given that z(w) = 0.
3/13, 1
Let t(m) be the third derivative of -m**5/330 - 28*m**4/33 - 3136*m**3/33 - 2*m**2 - 4. Factor t(d).
-2*(d + 56)**2/11
Find p, given that 79*p**3 + 25*p - 18*p**2 - 81*p**3 - 5*p = 0.
-10, 0, 1
Suppose 5*o + 505 + 445 = -5*n, 0 = -2*o + 5*n - 359. Let d = -1305/7 - o. Factor -d*g + 0 + 4/7*g**2.
4*g*(g - 1)/7
Let v = -2123 + 2126. Let h(g) be the first derivative of -10 - 69/8*g**2 + 9/2*g + 7/4*g**v. Factor h(o).
3*(o - 3)*(7*o - 2)/4
Let y = -509/14 + 73/2. Let u(f) be the first derivative of -10 + 4/7*f**2 - 2/21*f**6 + 2/7*f - y*f**4 + 8/21*f**3 - 2/7*f**5. Determine q so that u(q) = 0.
-1, -1/2, 1
Let v(l) = -4*l**3 + 32*l**2 - 40*l + 20. Suppose -3*r - 3 = -6*r. Let f(i) = i**2 + i. Let a(s) = r*v(s) - 4*f(s). Factor a(q).
-4*(q - 5)*(q - 1)**2
Let c(x) = -x**2 + 5*x + 16. Let w be c(4). Find y, given that w*y**2 - 4*y - 2 + 4*y**3 + 12 - 30 = 0.
-5, -1, 1
Let b(q) = 5*q**2 - 3*q + 6. Let m(n) be the third derivative of n**5/15 - n**4/8 + 5*n**3/6 + 9*n**2. Let c(d) = 3*b(d) - 4*m(d). Factor c(z).
-(z - 2)*(z - 1)
Let n(c) = -c**3 + 11*c**2 - 10*c + 15. Let q be n(10). Let x be 45/(-12) + (19 - q). Let 1/4*k + 3/2*k**3 + 0 + k**2 + k**4 + x*k**5 = 0. What is k?
-1, 0
Let x = 24497 + -24497. Solve -7/2*b**3 + 0*b + x + 0*b**4 + 3*b**2 + 1/2*b**5 = 0.
-3, 0, 1, 2
Let c be ((-1)/40)/(8/(-176)). Let m(h) be the first derivative of 4/3*h**3 + 2/5*h**2 + 0*h - 7/5*h**5 - 4 + c*h**4. Solve m(j) = 0.
-2/5, -2/7, 0, 1
Let a = -20 + 23. Factor -2*n**3 + n**3 + 0*n**a + 0*n**3.
-n**3
Let g = 1/1813 + 3615/19943. Factor g*s**2 - 2/11 + 0*s.
2*(s - 1)*(s + 1)/11
Let n(b) be the third derivative of b**7/1050 - b**6/300 + b**5/300 + 3*b**2 - 7*b. Factor n(r).
r**2*(r - 1)**2/5
Let z(b) be the first derivative of b**8/336 + b**7/56 + b**6/24 + b**5/24 - 7*b**3/3 + 6. Let r(y) be the third derivative of z(y). Factor r(s).
5*s*(s + 1)**3
Let y(v) be the third derivative of 31*v**2 + 1/330*v**5 + 0*v**3 - 1/1155*v**7 + 0 - 1/220*v**6 + 0*v + 1/66*v**4 + 1/1848*v**8. What is h in y(h) = 0?
-1, 0, 1, 2
Suppose -2/7*f**2 - 114/7*f - 16 = 0. Calculate f.
-56, -1
Factor -662 - 720*b - 138 + 5*b**3 - 9*b**3 + 78*b**2 + 2*b**3.
-2*(b - 20)**2*(b + 1)
Let m(f) be the first derivative of -f**5/10 + 3*f**4/4 - 13*f**3/6 + 3*f**2 - 2*f - 269. What is l in m(l) = 0?
1, 2
Let s(j) = -8*j**4 + 79*j**3 + 1663*j**2 - 12399*j + 19872. Let c(x) = -x**4 - x**3 + x**2 + x - 1. Let p(u) = -18*c(u) + 2*s(u). Factor p(w).
2*(w - 3)**2*(w + 47)**2
Let m(c) be the second derivative of c**6/50 + 21*c**5/25 - 31*c**4/5 + 64*c**3/5 - 367*c. Suppose m(h) = 0. What is h?
-32, 0, 2
Let o(v) = -v**2 + 3*v. Let h(l) = -l**2. Let c = 3 - 0. Let u be 0/1 + c + -4. Let s(i) = u*o(i) 