rivative of g(f). Let c(u) = 0. What is u?
-1, 0, 1
Let a = 10/299 + 7126/1495. Let j = -64/15 + a. Determine o so that 2/5*o**5 - 8/15*o**3 + 2/3*o**4 - j*o**2 + 0*o + 0 = 0.
-2, -2/3, 0, 1
Suppose 6 = 212*f + 6. Factor -2/9*h**3 + 4/9*h**2 + f + 0*h.
-2*h**2*(h - 2)/9
Let s(c) be the second derivative of 0*c**2 + 8/15*c**4 - 6*c + 4/15*c**3 + 1/10*c**5 + 0 - 1/3*c**6. Suppose s(f) = 0. What is f?
-2/5, 0, 1
Let f = -188 - -93. Let x = f - -97. Solve -h - 1/2*h**x - 1/2 = 0 for h.
-1
Factor -96 - 174*u**2 - 102*u + 33*u**3 - 2*u**4 + 9*u**3 + 332*u.
-2*(u - 16)*(u - 3)*(u - 1)**2
Let u(d) be the second derivative of d**9/30240 - d**7/5040 + 11*d**4/12 + 4*d. Let i(z) be the third derivative of u(z). Factor i(j).
j**2*(j - 1)*(j + 1)/2
Let y(k) be the second derivative of -k**8/20160 - k**7/7560 - k**4/2 - 15*k. Let r(t) be the third derivative of y(t). Factor r(m).
-m**2*(m + 1)/3
Solve 9/2*k**3 + 3/2*k**2 + 3*k**4 + 0 + 0*k = 0.
-1, -1/2, 0
Let p(k) = -k**2 - 13*k - 7. Let l be p(-11). Let n = -12 + l. Determine x, given that 2*x**5 - 2*x + x**5 - 7*x**3 + 5*x - 3 + 6*x**2 - 3*x**4 + x**n = 0.
-1, 1
Let s be 492/81 - (-12)/(-162). Factor 0 + 3/2*r**5 - 9/2*r**3 - 3*r**4 + s*r**2 + 6*r.
3*r*(r - 2)**2*(r + 1)**2/2
Factor -16*j**3 - 8*j + 30*j**2 + 38 - 6*j**4 - 17 - 21.
-2*j*(j - 1)*(j + 4)*(3*j - 1)
Let v(l) be the third derivative of l**7/168 + l**6/18 + l**5/8 + 10*l**3/3 - 5*l**2. Let d(j) be the first derivative of v(j). Factor d(u).
5*u*(u + 1)*(u + 3)
Suppose 8*r + 11 = -2*c + 3*r, r = -3. Factor -21*u - 4*u**c + 45*u - 24*u.
-4*u**2
Let i(s) be the second derivative of s**10/1260 - s**9/756 + s**8/1680 - 17*s**4/12 - 31*s. Let d(z) be the third derivative of i(z). Find r such that d(r) = 0.
0, 1/3, 1/2
Let t be (-5)/(-1) - (29 - 26). Let 46*p**2 + 2*p - 21*p**t - 24*p**2 = 0. Calculate p.
-2, 0
Let l(f) be the first derivative of 2*f**3/21 + 15*f**2/7 - 32*f/7 - 84. Factor l(p).
2*(p - 1)*(p + 16)/7
Let q = -8172 - -24532/3. Solve 14/3*r**3 - 2/3 + 1/3*r**5 - 2*r**4 + 3*r - q*r**2 = 0.
1, 2
Let l(o) be the second derivative of o**5/150 - o**4/18 + o**3/15 + 3*o**2/5 + 42*o. Determine y so that l(y) = 0.
-1, 3
Let v(w) be the second derivative of -w**4/12 - 7*w**3/3 + 16*w**2 - 2*w + 6. Solve v(p) = 0.
-16, 2
Factor 8/9*u + 16/9*u**3 + 4*u**2 + 0.
4*u*(u + 2)*(4*u + 1)/9
Let w(u) = u**3 + 8*u**2 + 5*u - 28. Let y be w(-3). Factor -54*i - 6 - 243/2*i**y.
-3*(9*i + 2)**2/2
Let j = 787/4713 - 1/3142. Factor j*q**3 + 1/6*q**4 - 1/6*q**2 - 1/6*q**5 + 0*q + 0.
-q**2*(q - 1)**2*(q + 1)/6
Suppose 5 = 4*c - 9*c + 3*k, -k + 11 = 3*c. Solve -4*z**2 - 1 - c - 8*z**2 + 17*z - 5*z = 0.
1/2
Suppose 35*p - 105 = 14*p. Let d(j) = j**2 + j + 1. Let o(k) = -13*k**2 - 18*k - 5. Let n(f) = p*o(f) + 35*d(f). Let n(m) = 0. Calculate m.
-2, 1/6
Let h be -3 + 1*(-30)/(-5). Factor 33*a + 32*a**3 - 86*a**h - 15 + 51*a - 99*a**2.
-3*(2*a + 5)*(3*a - 1)**2
Let f be (-8)/48*(2 + 36/(-10)). Let c = 8/5 - f. Let -5/3*h - 5/3*h**5 + c*h**2 - 2/3*h**4 - 2/3 + 10/3*h**3 = 0. Calculate h.
-1, -2/5, 1
Let b be 562/(-3) + (-1)/(-3). Let s = 190 + b. Factor 0 + s*n - 3*n**2 + 3/4*n**3.
3*n*(n - 2)**2/4
Let t be 323/114 + 5*(-2)/12. Find d such that -1/5*d**t - 2/5 - 3/5*d = 0.
-2, -1
Suppose 208*l**2 - 212*l**2 - 6*l + 8 + 10*l = 0. What is l?
-1, 2
Let a be (57/285)/(2 + 34/(-20)). Let c(l) be the first derivative of -1/3*l**2 + 2/9*l**3 + 3 + 1/6*l**4 - a*l. Determine k so that c(k) = 0.
-1, 1
Let v be ((-20)/(-30))/(4/(-30)). Let b = 0 - v. Factor 2*k**3 + 13 - 2*k**b + 19 - 32.
-2*k**3*(k - 1)*(k + 1)
Suppose 22*y - 8*y = 5*y. Let b(g) be the second derivative of -15/2*g**2 + y + 5/3*g**3 + 5/12*g**4 - 5*g. Factor b(a).
5*(a - 1)*(a + 3)
Factor 241*z - z**2 - 121*z - 4*z**2 + 5 - 125*z + 5*z**3.
5*(z - 1)**2*(z + 1)
Let a(b) be the third derivative of b**5/20 + 81*b**4/4 + 6561*b**3/2 + 490*b**2. Solve a(d) = 0.
-81
Let x be (-30)/24 - (-106)/72. Suppose x*d**2 + 0 - 4/9*d = 0. What is d?
0, 2
Let d = 31549 + -63097/2. Determine u, given that d*u + 1/6*u**4 + 1/6*u**3 - 5/6*u**2 + 0 = 0.
-3, 0, 1
Let h(p) = 11*p**3 + 6*p - 2*p**3 - 7*p**3 - 1 - 3 - p**2. Let s be h(1). Factor q**2 + 2/3*q + 0 + 1/3*q**s.
q*(q + 1)*(q + 2)/3
Let v(a) be the third derivative of 2*a**5/15 + 11*a**4/6 - 4*a**3 - 29*a**2 + 1. Factor v(p).
4*(p + 6)*(2*p - 1)
Let f(o) be the third derivative of 10*o**2 - 1/840*o**7 + 1/240*o**5 - 1/120*o**6 + 0 + 1/24*o**4 + 0*o**3 + 0*o. Determine a, given that f(a) = 0.
-4, -1, 0, 1
Let n(s) = -3*s**2 + s + 4. Let a(c) = c + 1. Suppose -4*f + t - 23 = -6, -t = -1. Let p(u) = f*a(u) + n(u). Solve p(v) = 0 for v.
-1, 0
Let 3*j**2 + 10*j + j**2 + 4*j**2 + 2*j**2 - 5*j**2 = 0. What is j?
-2, 0
Let a(t) = -t**2 - t. Let o(r) = -9*r**2 - 87*r. Let c(x) = 40*a(x) - 5*o(x). Find s such that c(s) = 0.
-79, 0
Let m(r) be the second derivative of -r**7/525 - r**6/150 - r**5/150 + 4*r**2 + 2*r. Let o(g) be the first derivative of m(g). What is z in o(z) = 0?
-1, 0
Let f(s) = 2*s**2 + 21*s + 26. Let y(j) = 3*j**2 + 31*j + 39. Let l(h) = 7*f(h) - 5*y(h). Let d be l(-5). Determine c, given that 4/13 + 6/13*c + 2/13*c**d = 0.
-2, -1
Let r(b) be the second derivative of -b**4/28 - 55*b**3/14 - 504*b. Solve r(g) = 0.
-55, 0
Let a(c) be the second derivative of 9*c**7/14 + 2*c**6 - 339*c**5/20 + 16*c**4 + 10*c**3 + 19*c - 2. Determine w so that a(w) = 0.
-5, -2/9, 0, 1, 2
Let -17*k**2 + 14*k**2 + 31*k - 7*k = 0. What is k?
0, 8
Suppose 2*y = t + 1, -2*t - y = -3*y - 2. Let r(z) be the second derivative of 0*z**2 - 5*z + 0 - 1/15*z**t + 0*z**4 + 1/50*z**5. Factor r(n).
2*n*(n - 1)*(n + 1)/5
Let i(f) be the first derivative of -f**6/9 + 2*f**5/3 - 4*f**4/3 + 8*f**3/9 + 381. Solve i(c) = 0 for c.
0, 1, 2
Determine g, given that 3704*g**5 - 136*g**2 - 41*g - 51*g - 88*g**3 - 24 - 8*g**3 - 3708*g**5 - 32*g**4 = 0.
-3, -2, -1
Let u(f) be the third derivative of -f**7/630 + f**6/15 - 6*f**5/5 + 5*f**4/8 + 11*f**2. Let i(l) be the second derivative of u(l). Factor i(b).
-4*(b - 6)**2
Suppose -13*d - 12 = -17*d. Solve 264*j**2 - 43*j**3 + 208*j + 32 + 109*j**d + 100*j**3 - 42*j**3 + 20*j**4 = 0.
-2, -1/5
Let y = -72 - -76. Suppose 4*i - 7 = 5*a + 5, -3 = y*a - i. Solve 0*l**3 + 3/7*l**4 + a - 3/7*l**2 + 0*l = 0.
-1, 0, 1
Let u = 2012 + -2007. Find g, given that -6/5*g**4 + 6/5*g + 34/5*g**2 - 4/5 + 26/5*g**3 - 8/5*g**u = 0.
-1, 1/4, 2
Let q(r) be the third derivative of r**6/1080 - r**5/90 + r**4/24 - 19*r**3/6 + 5*r**2. Let o(z) be the first derivative of q(z). Factor o(b).
(b - 3)*(b - 1)/3
Let k(v) be the third derivative of v**5/180 - 91*v**4/72 - 11*v**2 - 20*v. Solve k(z) = 0 for z.
0, 91
Let i(v) be the first derivative of -v**5 + 15*v**4/4 + 20*v**3/3 - 30*v**2 - 434. Factor i(k).
-5*k*(k - 3)*(k - 2)*(k + 2)
Let b(z) be the third derivative of 0 + 32*z**2 + 0*z - 1/96*z**4 + 0*z**3 - 3/80*z**5 - 1/24*z**6. Find k, given that b(k) = 0.
-1/4, -1/5, 0
Let r(w) = w**5 - w**4 + w**3 - w**2 - 2*w. Let o(a) = -5*a**5 + 3*a**4 - a**3 + 9*a**2 + 10*a. Let n(l) = -o(l) - 4*r(l). Let n(c) = 0. Calculate c.
-1, 0, 2
Let l(p) = -p**3 + 26*p**2 - 13*p. Let s(n) = -2*n**3 + 57*n**2 - 27*n - 1. Let d(c) = -9*l(c) + 4*s(c). Find k, given that d(k) = 0.
1, 4
Let j(x) be the first derivative of x**4/66 - x**3/11 - 4*x**2/11 + 7*x + 14. Let p(n) be the first derivative of j(n). Find g such that p(g) = 0.
-1, 4
Let w(p) be the first derivative of 1 + 0*p + 1/2*p**2 - 1/8*p**4 - 1/6*p**3. Factor w(z).
-z*(z - 1)*(z + 2)/2
Let s(j) be the third derivative of -1/630*j**7 + 1/180*j**5 - 4*j**2 + 0*j + 0*j**3 + 0 - 1/360*j**6 + 1/72*j**4. Let s(y) = 0. Calculate y.
-1, 0, 1
Suppose 6 = 5*v - 2*v. Suppose -37 + v = -7*r. Factor -7/5*o**2 + 2/5*o + 9/5*o**3 - o**4 + 1/5*o**r + 0.
o*(o - 2)*(o - 1)**3/5
Let s(h) be the first derivative of 0*h - 1/16*h**4 + 1/6*h**3 + 1/240*h**6 + 1/2*h**2 - 4 + 0*h**5. Let q(n) be the second derivative of s(n). Solve q(i) = 0.
-2, 1
Let w be (-18)/(-12)*((-4)/(-1))/2. Solve -w*g**3 + 11 - 6*g**2 - g**3 - 11 = 0.
-3/2, 0
Let z(v) = v**3 - 20*v**2 - 94*v - 45. Let n be z(24). Solve -6/19*d**2 + 2/19*d - 2/19*d**n + 2/19*d**4 + 4/19 = 0.
-1, 1, 2
Let a(b) be the first derivative of b**4/2 - 96*b**3 + 6912*b**2 - 221184*b + 173. Factor a(i).
2*(i - 48)**3
Let a(h) = h**