irst derivative of j**4/22 - 2*j**3/33 - 9*j**2/11 + 18*j/11 - 141. Let l(t) = 0. Calculate t.
-3, 1, 3
Let u(g) be the second derivative of -3/50*g**5 + 2/75*g**6 + 0*g**2 + 1/105*g**7 + 0 - 7*g + 0*g**4 + 0*g**3. Find r such that u(r) = 0.
-3, 0, 1
Let y(o) be the first derivative of o**5/8 - o**4/12 - 5*o**3/12 + o**2/2 + 16*o + 11. Let x(k) be the first derivative of y(k). Solve x(w) = 0 for w.
-1, 2/5, 1
Factor -4/5*r**3 - 8/5*r**2 + 4/5*r**4 + 0 + 0*r.
4*r**2*(r - 2)*(r + 1)/5
Let h(a) be the third derivative of 8*a**2 - 1/30*a**5 - 1/3*a**4 + 0 + 5/3*a**3 + 0*a. Factor h(g).
-2*(g - 1)*(g + 5)
Let u = -4 + 177. Suppose -100*l**2 - 297*l**2 + u*l**2 + 1116*l - 648 + 12*l**3 = 0. What is l?
2/3, 9
Let f(q) be the first derivative of -q**3 + 24*q**2/7 - 27*q/7 + 134. Suppose f(n) = 0. Calculate n.
1, 9/7
Suppose 0 = 2*w - k - 5 - 2, 2*k = 2*w - 10. Find c such that 1/6*c**3 + 0*c + 1/6*c**w + 0 = 0.
-1, 0
Let j(h) be the third derivative of -h**7/2415 + h**6/30 - 191*h**5/230 + 11*h**4/3 - 484*h**3/69 - 95*h**2 + 2*h. Factor j(a).
-2*(a - 22)**2*(a - 1)**2/23
Let t = -983/7 + 995/7. Determine n, given that -10/7*n + t + 2/7*n**2 = 0.
2, 3
Let z = 843367/1012026 + -2/168671. Let -20/3*m + 5/6*m**2 + z*m**3 - 10 = 0. Calculate m.
-2, 3
Let n(u) = u**2 - 154*u + 1125. Let f(b) = 155*b - 1125. Let y(c) = 4*f(c) + 5*n(c). Factor y(d).
5*(d - 15)**2
Let p(u) = -3*u - 3. Let l be p(-2). Determine t so that -5*t**3 - 12*t**2 + t**l + 0*t**3 - 8*t = 0.
-2, -1, 0
Let h(g) be the third derivative of -g**7/735 - g**6/140 + 2*g**5/105 - 511*g**2. Factor h(w).
-2*w**2*(w - 1)*(w + 4)/7
Let d be (-9)/(27/6) + -1. Let z(v) = -23*v**3 + 88*v**2 - 103*v + 17. Let h(y) = 45*y**3 - 175*y**2 + 205*y - 35. Let n(w) = d*h(w) - 5*z(w). Factor n(o).
-5*(o - 2)**2*(4*o - 1)
Let j(d) be the second derivative of -d**5/60 + d**4/9 + 11*d**3/18 + d**2 - 243*d. Factor j(k).
-(k - 6)*(k + 1)**2/3
Let w be 8/(-6)*-3 - (-4)/(-2). Let u be (-2 - 4) + 2 + 9. Suppose 0*l - w*l**4 - 2/3*l**2 + 0 + 2*l**3 + 2/3*l**u = 0. Calculate l.
0, 1
Let z(k) be the first derivative of k**6/27 - 2*k**5/5 + 7*k**4/9 + 4*k**3/27 - 5*k**2/3 + 14*k/9 - 478. Factor z(a).
2*(a - 7)*(a - 1)**3*(a + 1)/9
Solve -1/3*g**3 + 0 + 0*g - 80/3*g**2 = 0 for g.
-80, 0
Let o be (-8)/140*(-5)/1. Let x = -28263/7 - -4041. Let o*i**3 + 12/7*i**2 + x*i + 16/7 = 0. What is i?
-2
Let w(l) be the first derivative of -l**7/1260 - l**6/540 - 4*l**3/3 - 21. Let p(a) be the third derivative of w(a). Suppose p(v) = 0. What is v?
-1, 0
Let p = -461/3 + 155. Let z(j) be the second derivative of -13/5*j**5 + 4*j**2 - p*j**3 - 9/2*j**4 + 0 - 3*j - 7/15*j**6. Suppose z(u) = 0. Calculate u.
-2, -1, 2/7
Suppose 0*g + 7/4*g**3 + 0 + 3/2*g**2 + 1/4*g**4 = 0. What is g?
-6, -1, 0
Solve 1/2*l**4 - 6*l**2 + 0 + 0*l + 4*l**3 - 1/2*l**5 = 0 for l.
-3, 0, 2
Let x = -29982 - -149914/5. Solve -1/5*y**3 - x*y**2 - 2/5 - y = 0 for y.
-2, -1
Factor -10*j**4 + 26*j**4 + 2000 - 9*j**4 - 60*j**2 - 44*j**3 + 700*j - 11*j**4.
-4*(j - 4)*(j + 5)**3
Suppose 0 = -4*w - 11*i + 6*i - 611, 0 = -4*i + 20. Let v = w - -482/3. What is m in -4*m**4 - 2/3*m**2 + 3*m**3 + 0*m + v*m**5 + 0 = 0?
0, 2/5, 1
Let r be (-48)/(-9) - (-8)/12. Let y(s) = -s**4 - s**3 + 1. Let o(c) = 2*c**4 + 5*c**3 + c**2 - 2*c - 3. Let m(z) = r*y(z) + 2*o(z). Let m(t) = 0. Calculate t.
-1, 0, 1, 2
Let j(m) be the first derivative of -m**3 + 15*m**2/2 + 72*m - 138. Suppose j(l) = 0. Calculate l.
-3, 8
Let z = 33416/27855 + 2/5571. Factor 0 + z*v - 2/5*v**2.
-2*v*(v - 3)/5
Let d(g) be the first derivative of -g**5 - 5*g**4/2 + 20*g**3 + 20*g**2 - 160*g + 79. Suppose d(r) = 0. What is r?
-4, -2, 2
Let i(t) = t**2 + 8*t - 16. Let n be ((-5)/1)/((-1)/(-2)). Let s be i(n). Let 1/4*j**s - 1/2*j**3 + 1/4*j**2 + 0*j + 0 = 0. Calculate j.
0, 1
Solve 4*o**4 + 8*o - 16/3 - 22/3*o**3 + 4/3*o**2 - 2/3*o**5 = 0 for o.
-1, 1, 2
Let d(l) be the first derivative of 0*l**3 + 24 + 0*l**2 + 1/10*l**6 + 3/20*l**4 + 6/25*l**5 + 0*l. Determine v so that d(v) = 0.
-1, 0
Let u(x) = -x**3 + 11*x**2 + 2*x - 20. Let i be u(11). Suppose -4*n = -2*b, -2*n + 0*n - i*b = -12. Let -2/3 + 1/3*k + 4/3*k**n - k**3 = 0. What is k?
-2/3, 1
What is j in -4*j**2 - 23*j**3 - 6*j**4 + 46*j**3 + 4*j**4 - 17*j**3 = 0?
0, 1, 2
Let v(p) = -p**4 + p**3 - p**2 - p. Let w(m) = 1208*m**2 + 72*m**3 + 13*m**4 + 20000 + 3*m**4 - 6*m**4 + 8008*m. Let s(o) = 8*v(o) + w(o). Factor s(d).
2*(d + 10)**4
Let u(j) = 10*j - 8. Let o(y) = y - 1. Let h(s) = -5*o(s) + u(s). Let c be h(1). Find x such that -8*x + 3 + 36*x**c - 3 + 0 - 28*x**3 = 0.
0, 2/7, 1
Let v(b) be the third derivative of -2/945*b**7 + 1/135*b**6 - 1/756*b**8 - 11*b**2 + 0*b**5 + 0 + 0*b**3 + 0*b + 0*b**4. Factor v(q).
-4*q**3*(q - 1)*(q + 2)/9
Let u(o) be the first derivative of 0*o**2 - 22 + 55/4*o**4 + 35/6*o**6 + 0*o - 16*o**5 - 10/3*o**3. Factor u(q).
5*q**2*(q - 1)**2*(7*q - 2)
Suppose 4*k = -k + 25. Let k*f + f - 2*f + 3*f**2 - 12 + 5*f = 0. What is f?
-4, 1
Let m(a) = a**3 + 303*a**2 + 27075*a + 857381. Let i(q) = 2*q**3 + 609*q**2 + 54150*q + 1714763. Let p(o) = 6*i(o) - 13*m(o). Factor p(v).
-(v + 95)**3
Let b(m) be the first derivative of -4*m**5/5 - 24*m**4 - 264*m**3 - 1296*m**2 - 2916*m + 86. Factor b(o).
-4*(o + 3)**2*(o + 9)**2
Let u(z) be the third derivative of -z**6/420 - z**5/105 + z**4/28 - 8*z**2 + 6*z. Let u(y) = 0. Calculate y.
-3, 0, 1
Let r be ((-21)/1)/((-2)/((-20)/15)). Let x be ((-54)/7)/(10/r). Factor -18/5*k**2 - 54/5 + 2/5*k**3 + x*k.
2*(k - 3)**3/5
Let b(v) be the second derivative of 13*v**6/60 - 41*v**5/30 + 8*v**4/3 - 4*v**3/3 - 25*v**2/2 + 39*v. Let f(g) be the first derivative of b(g). Factor f(q).
2*(q - 2)*(q - 1)*(13*q - 2)
Let 23*m**2 - 154*m**2 + 26*m**2 + 17*m**2 - m**3 + 40*m**2 - 47*m = 0. What is m?
-47, -1, 0
Let k = -265/132 + 23/11. Let i(r) be the first derivative of 1/18*r**3 - 6 + k*r**2 + 0*r. Factor i(a).
a*(a + 1)/6
Suppose 3*g + 6 = -12. Let j = g + 8. Factor -15*n**2 - 9*n**j - 21*n**4 - 41*n**3 - 2*n - 2*n.
-n*(n + 1)*(3*n + 2)*(7*n + 2)
Let q(a) be the second derivative of a**7/210 + a**6/40 - a**5/60 - a**4/8 + 10*a**2 + 9*a. Let b(p) be the first derivative of q(p). Factor b(o).
o*(o - 1)*(o + 1)*(o + 3)
Let r be 22/187 + (-2 - (-7 + 5)). Factor -r - 2/17*i**3 + 2/17*i + 2/17*i**2.
-2*(i - 1)**2*(i + 1)/17
Let m(y) be the second derivative of y**7/210 + 13*y**6/150 + 23*y**5/100 + 11*y**4/60 + 265*y. What is t in m(t) = 0?
-11, -1, 0
Let j(v) be the third derivative of -v**7/2520 - v**6/144 + 67*v**5/720 - 29*v**4/72 + 5*v**3/6 - 117*v**2 + 1. Solve j(u) = 0.
-15, 1, 2
Let t(y) be the second derivative of -1/3*y**3 + 1/6*y**4 + 0*y**2 - 1/15*y**6 - 9*y + 1/10*y**5 + 0. Find c such that t(c) = 0.
-1, 0, 1
Let f = -1/3184 - -1593/3184. Factor -2*p - f*p**2 - 2.
-(p + 2)**2/2
Let m = 23359/46722 - -1/23361. Suppose -3/2 + m*o**2 - o = 0. Calculate o.
-1, 3
Suppose 323*p - 327*p = -20. Let v(h) be the first derivative of 0*h**2 - 6/25*h**p + 2/15*h**3 + 1/5*h**4 - 1 + 0*h. Factor v(b).
-2*b**2*(b - 1)*(3*b + 1)/5
Let s = 33981/40 - 6793/8. Suppose -24/5 - 16/5*p - s*p**2 = 0. What is p?
-6, -2
Let k(c) be the first derivative of -5*c**4/12 - 10*c**3/3 - 15*c**2/2 - 5*c - 18. Let w(m) be the first derivative of k(m). What is r in w(r) = 0?
-3, -1
Suppose -2*v - 1 = -20*l + 19*l, 0 = -l + 5. Factor -1/4*o + 1/4*o**v + 0.
o*(o - 1)/4
Let d be (0/3)/(-3 + 2). Suppose -2*z + 3 + 1 = d. Factor -9/2*u - 3 - 3/2*u**z.
-3*(u + 1)*(u + 2)/2
Determine p so that -7*p**5 + 38*p**4 - 13*p**5 + 105*p**3 + 7*p**4 + 17*p**5 - 45*p**2 - 102*p = 0.
-2, -1, 0, 1, 17
Find o, given that -9*o**5 + 6*o - 9*o**3 - 5*o**4 + 33*o**4 + 0*o**4 - 9*o**2 - 7*o**4 = 0.
-2/3, 0, 1
Let f(v) be the first derivative of -v**4/28 - v**3/7 + 9*v**2/14 - 5*v/7 + 155. Factor f(b).
-(b - 1)**2*(b + 5)/7
Let c(g) = -20*g - 25. Let a = 14 + -9. Let q(l) = -l**2 + 1. Let b(w) = a*q(w) + c(w). Factor b(t).
-5*(t + 2)**2
Let o(z) be the first derivative of -33 + z**2 - z**3 + 0*z + 1/4*z**4. Find x such that o(x) = 0.
0, 1, 2
Let j(n) = 4*n**3 - 92*n**2 + n - 23. Let l be j(23). Factor -4/13*m**3 + 2/13 + l*m**2 + 4/13*m - 2/13*m**4.
-2*(m - 1)*(m + 1)**3/13
Let p(f) be the first derivative of -f**5/20 - f**4/4 + 3*f**3/2 - 11*f**2 + 10. Let c(w) be the second