vative of -2*d**3/45 + 3*d**2/5 - 48. Find g such that s(g) = 0.
0, 9
Let a(u) be the first derivative of 4*u**3 - 9*u**2/2 - 3*u + 49. Let a(l) = 0. Calculate l.
-1/4, 1
Determine z, given that -8/7*z**5 + 0 + 4/7*z**4 - 4/7*z - 4/7*z**2 + 12/7*z**3 = 0.
-1, -1/2, 0, 1
Let q(y) = 2*y**2 - 5*y + 5. Let d be q(5). Let k be 46/d - (-5)/(-25). Let 2*l**4 - 2/3 + 2*l - 2/3*l**5 - 4/3*l**3 - k*l**2 = 0. What is l?
-1, 1
Let b(y) be the first derivative of y**6/12 - y**4/2 + y**3/3 + 3*y**2/4 - y - 13. Suppose b(g) = 0. What is g?
-2, -1, 1
Let y(a) be the third derivative of a**9/10584 + a**8/2940 - a**6/630 - a**5/420 - a**3/3 - 2*a**2. Let k(i) be the first derivative of y(i). Solve k(j) = 0.
-1, 0, 1
Let q = -9 - -11. Let -g**q + g + 3 - 3 = 0. Calculate g.
0, 1
Let l(x) be the second derivative of -x**4/24 - x**3/6 + 3*x**2/4 + 5*x. Factor l(w).
-(w - 1)*(w + 3)/2
Let w(d) be the second derivative of d**5/100 - d**4/30 - 9*d. Factor w(y).
y**2*(y - 2)/5
Suppose 3*g = -0 - 6. Let i be (-1)/g*(-8)/(-14). Suppose 8/7*m**2 + 0 + i*m = 0. Calculate m.
-1/4, 0
Let k(o) be the third derivative of o**8/546 - o**7/273 - 23*o**6/780 + 11*o**5/195 + 7*o**4/39 - 8*o**3/39 + 37*o**2. Let k(p) = 0. Calculate p.
-2, -1, 1/4, 2
Let c(b) be the second derivative of b**2 - 1/10*b**5 + 5*b + 1/3*b**3 - 1/6*b**4 + 0. Factor c(f).
-2*(f - 1)*(f + 1)**2
Find y, given that y**3 + 4*y**5 + 79*y**3 - 32*y**2 - 73*y**4 + 39*y**4 = 0.
0, 1/2, 4
Let r(t) be the second derivative of 5*t**4/12 - 55*t**3/3 + 605*t**2/2 - 9*t. Determine p so that r(p) = 0.
11
Let g = 2/113 + 105/452. Let o(n) be the second derivative of n + 0 - 1/24*n**4 - g*n**2 - 1/6*n**3. Factor o(a).
-(a + 1)**2/2
Let o(y) = 2*y - 1. Let u be o(2). Factor q**3 - 4*q + u*q + q - 2*q**2.
q**2*(q - 2)
Let v = 85/166 + -1/83. Solve 0*q + 0 - v*q**2 = 0.
0
Let d(t) be the first derivative of 2/5*t**2 - 2 - 1/10*t**4 + 0*t - 2/15*t**3. Determine u, given that d(u) = 0.
-2, 0, 1
Let z(a) be the first derivative of a**7/525 + a**6/150 - a**4/30 - a**3/15 + a**2/2 + 2. Let c(y) be the second derivative of z(y). Factor c(w).
2*(w - 1)*(w + 1)**3/5
Let p(u) = u**3 - u**2 - 6*u + 1. Let i = -7 - -5. Let v = i - 3. Let t(j) = -j. Let m(b) = v*t(b) + p(b). Find q such that m(q) = 0.
-1, 1
Let m(k) be the third derivative of -k**9/20160 + k**8/2240 - k**7/560 + k**6/240 + 2*k**5/15 - 2*k**2. Let g(x) be the third derivative of m(x). Factor g(o).
-3*(o - 1)**3
Let k(j) = -j**2 - j + 42. Let g be k(6). Let d(s) be the second derivative of -1/30*s**4 + g - 3*s + 9/100*s**5 + 0*s**2 + 0*s**3. Solve d(f) = 0.
0, 2/9
Solve 0 - 48/11*l**3 + 34/11*l**4 - 8/11*l**5 + 26/11*l**2 - 4/11*l = 0 for l.
0, 1/4, 1, 2
Let n = 48057/25 + -1922. Let c(v) be the first derivative of 2/15*v**6 - 1/5*v**2 - n*v**5 - 1/10*v**4 - 1/5*v - 2 + 8/15*v**3. Find x, given that c(x) = 0.
-1, -1/4, 1
Suppose 2*i - i + 5 = -3*q, 4*i = 5*q + 48. Factor -2 + 6 + 4 + 2*j**2 - i*j - j.
2*(j - 2)**2
Suppose -5*r + 44 = -r. Let o = r + -8. Factor -2*q**5 + 3*q**3 + q**2 - o*q**2 - 2*q**2 + 3*q**3.
-2*q**2*(q - 1)**2*(q + 2)
Let u(q) be the first derivative of 3/4*q**4 + 1 - 3/2*q**2 - q**3 + 3*q. Factor u(i).
3*(i - 1)**2*(i + 1)
Let n be (4/22)/(66/121). Factor 0*m**2 - 2/3*m**3 + 2/3*m - 1/3 + n*m**4.
(m - 1)**3*(m + 1)/3
Let z = -1147/4 + 289. Let -z*d**3 - 3/4*d**2 + 0 + 0*d = 0. Calculate d.
-1/3, 0
Let m(v) be the second derivative of -v**4/84 - v**3/14 - v**2/7 + 24*v + 2. Factor m(q).
-(q + 1)*(q + 2)/7
Let w(m) be the third derivative of 0 + 0*m + 8/21*m**4 + 4*m**2 + 2/105*m**6 + 4/35*m**5 + 1/735*m**7 + 16/21*m**3. Factor w(i).
2*(i + 2)**4/7
Let s(j) be the first derivative of j**6/1620 - j**5/540 - j**3/3 - 10. Let o(l) be the third derivative of s(l). Determine v, given that o(v) = 0.
0, 1
Let d(r) = r**5 + 3*r**4 - 2*r**2 + 3*r - 3. Let w(f) = -2*f**5 - 5*f**4 + f**3 + 4*f**2 - 5*f + 5. Let j(p) = -5*d(p) - 3*w(p). Determine a so that j(a) = 0.
-1, 0, 2
Suppose 10 = 5*t + i, 5*t - 2*i = 3*t + 4. Let f(d) = 4*d - 18. Let b be f(5). What is k in -2*k**3 - 3*k + 0*k**t - k + 2*k + 4*k**b = 0?
0, 1
Solve 30/13*a**2 - 18/13*a - 4/13 + 44/13*a**3 = 0 for a.
-1, -2/11, 1/2
Let w be ((-54)/(-3))/3 + 1. Let i(n) = -3*n**2 - 9*n + 16. Let c(p) = 2*p**2 + 4*p - 8. Let v(j) = w*c(j) + 4*i(j). Let v(q) = 0. What is q?
2
Let f(w) be the first derivative of -2*w**5/45 - w**4/9 + 2*w**2/9 + 2*w/9 + 6. Factor f(b).
-2*(b - 1)*(b + 1)**3/9
Let d(k) be the third derivative of 1/12*k**4 - 1/105*k**7 + 0*k + 1/168*k**8 - 1/3*k**3 - 1/30*k**6 + 0 + 1/15*k**5 - 6*k**2. Determine q so that d(q) = 0.
-1, 1
Suppose 21*f + 39*f + 12*f**3 - 15*f**3 - 36*f**2 - 28 + 7*f**3 = 0. What is f?
1, 7
Let m(j) be the third derivative of 0*j**4 - 1/60*j**6 + 0*j**5 + j**2 + 0*j + 1/105*j**7 + 0 + 0*j**3. Suppose m(b) = 0. What is b?
0, 1
Let i(u) be the first derivative of -u**3/21 + 3*u**2/7 - 9*u/7 - 8. Find r such that i(r) = 0.
3
Let d(z) be the third derivative of -z**9/1512 + z**8/420 - z**6/90 + z**5/60 - z**3/3 - z**2. Let v(t) be the first derivative of d(t). Factor v(a).
-2*a*(a - 1)**3*(a + 1)
Suppose -5*x + 35 = -0*x. Determine m, given that -4*m + 3*m**3 + 4*m - 9*m**2 - m + x*m = 0.
0, 1, 2
Let w = 2 - 5. Let g(o) = -o**3 + o - 1. Let i(s) = 2*s**4 - 7*s**3 + 2*s**2 + 3*s - 3. Let u(z) = w*g(z) + i(z). Factor u(q).
2*q**2*(q - 1)**2
Suppose -2*u - 10 = -7*u. Let 4/5*r**3 + 6/5*r**u + 4/5*r + 1/5 + 1/5*r**4 = 0. Calculate r.
-1
Let t(l) be the first derivative of 75*l**4/2 + 65*l**3 + 42*l**2 + 12*l - 5. Factor t(a).
3*(2*a + 1)*(5*a + 2)**2
Let b = -1/67 - -1477/201. Let b*h**2 - 26/3*h + 4/3 = 0. What is h?
2/11, 1
Let n be 1 - ((-30)/(-21) + -1). Let b = n - 5/21. Determine v so that 2/3*v**3 + 0*v + 1/3*v**2 + 0 + b*v**4 = 0.
-1, 0
Suppose -n - 2*n - 3*o + 9 = 0, -21 = -2*n + 3*o. Suppose 4*l - 16 = -q, -2*l - 3*l + 15 = 0. Factor 9*b + 0*b**2 - 1 + q*b**3 - 5*b + 0*b**4 - n*b**2 - b**4.
-(b - 1)**4
Let k(z) be the first derivative of -8*z**6/3 + 4*z**5/5 + 12*z**4 - 44*z**3/3 + 4*z**2 - 2. Solve k(r) = 0.
-2, 0, 1/4, 1
Let b(k) = 18*k**5 + 16*k**4 - 2*k**3 - 6*k. Let a(r) = 17*r**5 + 16*r**4 - r**3 - 5*r. Let m(x) = -6*a(x) + 5*b(x). Determine g, given that m(g) = 0.
-1, -1/3, 0
Let u(n) = 7*n**3 + 5*n + 22*n**2 - n - 21*n**4 + 7*n**4 - 3*n**3. Let f(v) = -v**2 - v. Let d(q) = 8*f(q) + u(q). Let d(b) = 0. Calculate b.
-1, 0, 2/7, 1
Let v = 6 - 6. What is k in -2*k**4 - k**2 + 3*k**2 + v*k**2 + 0*k**4 = 0?
-1, 0, 1
Let u(v) be the second derivative of 3*v + 1/63*v**7 + 0*v**3 - 4/135*v**6 + 0*v**4 + 0*v**2 + 0 + 1/90*v**5. Factor u(z).
2*z**3*(z - 1)*(3*z - 1)/9
Let b be (58/(-6))/((-3)/9). Suppose 2*h - 5*v = b, -3*v - 15 + 2 = h. Suppose -3*z**4 + h*z**2 - 3*z**4 + 2*z**3 + 4*z**4 - 2*z = 0. What is z?
-1, 0, 1
Let w(f) be the third derivative of 1/840*f**8 + 0*f - 1/150*f**5 + 0*f**3 + 0 - 1/175*f**7 + 0*f**4 - f**2 + 1/100*f**6. Factor w(g).
2*g**2*(g - 1)**3/5
Let w(f) be the second derivative of 2*f**6/135 + f**5/18 + 2*f**4/27 + f**3/27 - 21*f. Find u such that w(u) = 0.
-1, -1/2, 0
Let x(j) be the second derivative of j**4/66 + 4*j**3/33 + 3*j**2/11 + 36*j. Factor x(u).
2*(u + 1)*(u + 3)/11
Let z(h) be the first derivative of 4*h**3/3 - 8*h**2 - 43. Factor z(n).
4*n*(n - 4)
Let d(k) be the second derivative of k**5/5 - 8*k. Factor d(v).
4*v**3
Suppose 0 = 5*f + 4*h + 6, 8*f + 12 = 3*f + 2*h. Let j = f - -4. Factor -1 + 4*y + 4*y**j - 2 + 4.
(2*y + 1)**2
Let a(g) be the third derivative of -g**5/90 - g**4/12 - 2*g**3/9 + 4*g**2. Find v, given that a(v) = 0.
-2, -1
Let j = -12 + 12. Suppose j + c**2 - 1/3*c + 1/3*c**4 - c**3 = 0. What is c?
0, 1
Factor 0 + 10/23*d**4 + 6/23*d**2 - 2/23*d**5 + 0*d - 14/23*d**3.
-2*d**2*(d - 3)*(d - 1)**2/23
Let a(q) be the third derivative of -q**9/60480 + q**7/5040 + q**5/60 - 3*q**2. Let t(k) be the third derivative of a(k). Determine y so that t(y) = 0.
-1, 0, 1
Let r(h) = h - 2. Let n be r(4). Let q(z) be the third derivative of -1/300*z**6 + 0 - 1/15*z**3 + 1/60*z**4 - n*z**2 + 0*z + 1/150*z**5. Factor q(t).
-2*(t - 1)**2*(t + 1)/5
Let j(f) be the third derivative of -f**6/300 - 2*f**5/75 - f**4/15 + 11*f**2. Factor j(m).
-2*m*(m + 2)**2/5
Find c, given that -37*c**2 + 54*c**3 + 0 - 69*c**2 + 42*c + 18 - 8*c**4 = 0.
