*a**2 + 36508*a + 14. Let g(k) = 2*b(k) - 7*d(k). Factor g(y).
y*(y - 23)**3
Let l be -3 + (6 - 2 - 1). Suppose l*z - 16 = -4*z. Find f such that 2*f**z - 2*f**4 - f**4 + 14*f**3 - 8*f + 7*f**4 = 0.
-2, -1, 0, 2/3
Let b = -1552/5 + 10274/35. Let d = b - -1076/63. Let d*p**2 + 2/9*p + 0 = 0. Calculate p.
-1, 0
Let b(t) be the third derivative of -t**8/1176 - 8*t**7/735 - 3*t**6/70 + 9*t**4/28 + 9*t**2 + 3*t. Solve b(f) = 0.
-3, 0, 1
Let x(p) be the second derivative of -p**5/10 - 7*p**4/6 - 11*p**3/3 - 5*p**2 - 334*p. Factor x(k).
-2*(k + 1)**2*(k + 5)
Let s(p) be the first derivative of p**3/5 + 12*p**2/5 + 48*p/5 - 307. Let s(l) = 0. What is l?
-4
Suppose 8*y - 58 = -18. Determine i, given that -270*i**4 + 40000*i**2 + 291*i**4 + 4*i**y + 400000 + 200000*i + 179*i**4 + 4000*i**3 = 0.
-10
Let s = 1208 + -1208. Factor 0 + 4/7*i**4 - 20/7*i**3 + 16/7*i**2 + s*i.
4*i**2*(i - 4)*(i - 1)/7
Let n(u) be the second derivative of -u**7/105 + u**6/25 + u**5/25 - u**4/5 - u**3/15 + 3*u**2/5 + 20*u. Let n(m) = 0. Calculate m.
-1, 1, 3
Let x = 9767/2 - 4883. Suppose 0*t**2 + 0*t - 5/4*t**5 + 3/4*t**4 + 0 + x*t**3 = 0. Calculate t.
-2/5, 0, 1
Let j be (6/4)/(4/8). Suppose 2*r = -j*v + 6*v + 25, 5*v = 15. Factor -23*a**2 - r*a**2 - 6*a + 7*a**2.
-3*a*(11*a + 2)
Let k(r) = 49*r**2 - 24*r + 2. Let x(w) = 245*w**2 - 118*w + 9. Let u(d) = 33*k(d) - 6*x(d). Let u(l) = 0. Calculate l.
2/7
Let f(z) be the first derivative of -20*z**2 - 4 + 8*z - 11/2*z**4 + 7/10*z**5 + 16*z**3. Suppose f(x) = 0. What is x?
2/7, 2
Let q be (-14)/(-63) - (-136)/36. Let n(g) be the second derivative of g + 0 + 1/24*g**q + 0*g**2 + 1/12*g**3. Suppose n(j) = 0. What is j?
-1, 0
Let l(i) be the third derivative of -i**5/90 - 22*i**4/9 + 89*i**3/9 - 25*i**2 - 8*i. Factor l(m).
-2*(m - 1)*(m + 89)/3
Let l be (180/(-150))/((-26)/20). Suppose -10/13 + l*b - 2/13*b**2 = 0. What is b?
1, 5
Let w(n) be the second derivative of 3/110*n**5 + 1/33*n**4 + 0*n**3 + 0*n**2 + 0 - 2*n. Let w(o) = 0. What is o?
-2/3, 0
Let d be 116/1334 - (-182)/23. Let h(v) be the first derivative of 1/10*v**5 + 1/3*v**3 + 3/8*v**4 - d + 0*v + 0*v**2. Let h(j) = 0. What is j?
-2, -1, 0
Let k(y) be the first derivative of y**4/16 - 31*y**3/4 + 2883*y**2/8 - 29791*y/4 - 822. Let k(d) = 0. Calculate d.
31
Let q(a) be the second derivative of 0*a**2 + 0*a**6 - 43*a + 0 + 1/18*a**4 - 1/126*a**7 + 1/20*a**5 + 0*a**3. Factor q(r).
-r**2*(r - 2)*(r + 1)**2/3
Let m(a) = -6*a**5 + 13*a**4 - 5*a**3 - 5*a**2. Let o(v) = 5*v**5 - 10*v**4 + 4*v**3 + 4*v**2. Let w(i) = 4*m(i) + 5*o(i). Factor w(f).
f**4*(f + 2)
Let i(l) be the first derivative of l**3/3 + 27*l**2/2 - 100. Let i(z) = 0. Calculate z.
-27, 0
Let d be 325*(-2)/2 - (6 - 2). Let t = d - -332. Suppose p + 3/4*p**2 - 1/4*p**4 - 1/2*p**t - 1 = 0. What is p?
-2, 1
Let r(p) be the third derivative of -p**9/25200 - p**8/11200 + p**7/2100 - p**4/6 + 12*p**2. Let f(z) be the second derivative of r(z). Factor f(t).
-3*t**2*(t - 1)*(t + 2)/5
Let a(k) be the second derivative of 0 - 1/50*k**5 - 33*k - 4/45*k**4 - 7/45*k**3 - 2/15*k**2. Solve a(g) = 0.
-1, -2/3
Let z(c) be the second derivative of -2*c**6/15 + 10*c**5 - 49*c**4/3 - 226*c - 1. Factor z(o).
-4*o**2*(o - 49)*(o - 1)
Let v(z) be the second derivative of z**5/30 + 11*z**4/18 - z**3/9 - 11*z**2/3 + 7*z - 1. Factor v(h).
2*(h - 1)*(h + 1)*(h + 11)/3
Suppose 0 = 4*f + 2*c - 144, 0*f - f - 3*c = -41. Factor 115*t**3 + 10 - 622*t**2 - 11*t + 757*t**2 + f*t**4 + 76*t.
5*(t + 1)**3*(7*t + 2)
Let w(m) be the second derivative of -m**7/98 + 3*m**6/70 - m**4/7 - 8*m - 2. Find a, given that w(a) = 0.
-1, 0, 2
Let j(r) be the third derivative of -1/70*r**7 - 6*r**2 + 0*r**3 + 0*r + 0 + 1/4*r**4 - 1/4*r**5 + 1/10*r**6. Determine m so that j(m) = 0.
0, 1, 2
Let g(m) be the third derivative of m**9/211680 - m**7/17640 - m**5/20 + 4*m**2. Let l(i) be the third derivative of g(i). Factor l(s).
2*s*(s - 1)*(s + 1)/7
Let r(x) be the first derivative of -40 - 1/6*x**4 - 2/9*x**3 + 2*x**2 + 0*x. Let r(p) = 0. What is p?
-3, 0, 2
Let b(n) be the second derivative of 0 - 8*n - 9*n**2 - 1/6*n**4 + 2*n**3. Factor b(p).
-2*(p - 3)**2
Let w be 2349/290 + (-16)/2. Let b(s) be the second derivative of -1/3*s**4 + 0 - 2*s + 0*s**3 + 0*s**2 - w*s**5. Suppose b(l) = 0. What is l?
-2, 0
Let t(q) = -9*q**2 - 12*q - 15. Let y(k) = 10*k**2 - 1. Let p be y(-1). Let v = 26 - p. Let l(w) = 26*w**2 + 36*w + 44. Let z(x) = v*t(x) + 6*l(x). Factor z(c).
3*(c + 1)*(c + 3)
Factor 2/9*z**2 + 10/9*z - 4/3.
2*(z - 1)*(z + 6)/9
Let v(d) = d**2 - 17*d + 30. Let u be v(2). Let o(h) be the third derivative of u + 1/480*h**6 + 1/48*h**5 - 7*h**2 + 1/12*h**4 + 0*h + 1/6*h**3. Factor o(p).
(p + 1)*(p + 2)**2/4
Suppose -z + 5*f + 22 = 0, 4*f + 15 + 1 = 0. Suppose 9*q + z = 10*q. What is a in 0*a**q - 9/2*a**4 - 3/2*a**5 + 0 + 0*a - 3*a**3 = 0?
-2, -1, 0
Let t(y) be the third derivative of y**6/40 + 31*y**5/60 + y**4/3 - 10*y**3/3 + 2*y**2 - 61. Determine f so that t(f) = 0.
-10, -1, 2/3
Let u(l) be the first derivative of 7/2*l**2 - 4/3*l**3 + 16 - 2*l - l**4. Factor u(m).
-(m + 2)*(2*m - 1)**2
Factor -1/3*h**2 - 3*h + 22/3.
-(h - 2)*(h + 11)/3
Let f(s) be the second derivative of s**4/36 + 209*s**3/9 + 43681*s**2/6 - 13*s + 9. Factor f(x).
(x + 209)**2/3
Let k(l) be the first derivative of 1/6*l**3 - 5/6*l**2 - 2 + 1/2*l. Suppose k(z) = 0. What is z?
1/3, 3
Solve -7/3*m + 17/9*m**2 + 17/9*m**3 - 7/3*m**4 + 4/9 + 4/9*m**5 = 0.
-1, 1/4, 1, 4
Let p = 1721 + -4652/3. Let r = p + -169. Find k such that r*k**4 - 2/3*k**5 + 14/3*k - 4/3 - 16/3*k**2 + 4/3*k**3 = 0.
-2, 1
Let 9*k**3 + 6*k**2 - 24*k**5 + 0*k**2 + 21*k**5 + 0*k**2 = 0. What is k?
-1, 0, 2
Let s(i) be the third derivative of -1/20*i**6 - 2/15*i**5 + 0 + 2/3*i**3 + 0*i + 17*i**2 + 2/105*i**7 + 1/4*i**4. What is f in s(f) = 0?
-1, -1/2, 1, 2
Let p(x) be the third derivative of 0*x**3 + 0 + 5/24*x**4 + 0*x - 5/336*x**8 + 1/21*x**7 - 3*x**2 - 1/6*x**5 + 0*x**6. Factor p(g).
-5*g*(g - 1)**3*(g + 1)
Let y(a) be the second derivative of 0*a**3 - 18*a - 1/2*a**4 + 9/20*a**5 + 0*a**2 - 1/14*a**7 + 0*a**6 + 0. Let y(j) = 0. Calculate j.
-2, 0, 1
Let c = -135/8 + 1343/72. Factor 0*h**4 + c*h**2 + 0 + 4/3*h**3 + 2/3*h - 2/9*h**5.
-2*h*(h - 3)*(h + 1)**3/9
Let m(s) be the first derivative of 2*s**3/3 + 6*s + 8. Let a(u) = -u**2 - 5. Let q(z) = -4*a(z) - 3*m(z). Let q(f) = 0. What is f?
-1, 1
Let c = 84 - 80. Let y(x) be the second derivative of 0 - 3/4*x**c + 7/20*x**5 - 2*x - 2*x**3 + 2*x**2. Determine q, given that y(q) = 0.
-1, 2/7, 2
Let d(l) be the second derivative of -l**8/672 - l**7/210 - l**6/360 + l**4/2 + 4*l. Let q(t) be the third derivative of d(t). Factor q(o).
-2*o*(o + 1)*(5*o + 1)
Let b = 623/5 - 4331/35. Factor 8/7*s - 2/7*s**2 - b.
-2*(s - 3)*(s - 1)/7
Let d(l) be the second derivative of -l**6/480 - l**5/240 - 7*l**2/2 + 9*l. Let n(i) be the first derivative of d(i). Factor n(z).
-z**2*(z + 1)/4
Let a(n) be the first derivative of -n**5/20 + 2*n**4/9 - 7*n**3/18 + n**2/3 - 14*n - 5. Let o(f) be the first derivative of a(f). Factor o(i).
-(i - 1)**2*(3*i - 2)/3
Solve 0*c - 4*c**5 - 4 - 7*c**2 + 0 - 8*c**3 + 12*c**4 + 3*c - c**2 + 9*c = 0 for c.
-1, 1
Let o(j) be the first derivative of 11*j**5/10 + 31*j**4/8 + 8*j**3/3 - j**2 - 185. Factor o(g).
g*(g + 1)*(g + 2)*(11*g - 2)/2
Let p = -1 - -4. Suppose 4*m - 2*i - 35 = -7*i, 5*m - 16 = p*i. Factor 32*a**3 - 16*a**4 + 56*a + 2*a**m - 16 - 76*a**2 + 0*a**5 - 16*a**3 + 34*a**3.
2*(a - 2)**3*(a - 1)**2
Let w(h) = h**5 + 2*h**4 - h**3 - h. Let k(x) = 25*x**5 + 100*x**4 - 25*x**3 - 40*x**2 - 30*x. Let o(n) = k(n) - 30*w(n). Let o(m) = 0. What is m?
-1, 0, 1, 8
Let h = 64 + -61. Factor -r**h - 4*r**3 - 48*r**2 + 5*r**4 + 38*r**2.
5*r**2*(r - 2)*(r + 1)
Let i(s) be the second derivative of 2*s**2 - 13 + 3/10*s**5 + 1/30*s**6 + 2*s + 13/12*s**4 + 2*s**3. Solve i(k) = 0 for k.
-2, -1
Let f(u) = 15*u - 387. Let o be f(26). Let n(a) = -a**2 + 6*a - 5. Let b be n(4). Let k**2 + o*k**b - 19*k**4 - 5*k**3 + 2*k**5 + 18*k**4 = 0. What is k?
-1, 0, 1/2, 1
Let d(h) be the third derivative of -h**6/420 + 23*h**5/210 - 40*h**4/21 + 100*h**3/7 + 80*h**2. Factor d(g).
-2*(g - 10)**2*(g - 3)/7
Let k(l) be the second derivative of -l**4/16 + 7*l**3/4 - 89*l + 1. Find a such that k(a) =