 3/7*l - 2/7 + z*l**2 = 0.
-2, 1
Let r(i) = i**4 - 4*i**3 - 3*i**2 - 10*i + 8. Let v be -1*((-18)/(-2) + -4). Let x(y) = y**2 + y - 1. Let j(z) = v*r(z) - 40*x(z). What is p in j(p) = 0?
0, 1, 2
Let i(w) = 2*w - 2. Let t be i(2). Suppose 0 = -3*n - 0 + 9. Factor 24*j**t + 7*j**4 - 8*j**3 - j**n + 12*j - 34*j**4.
-3*j*(j - 1)*(3*j + 2)**2
Let c(g) be the second derivative of g**7/630 - g**6/810 + 10*g**3/3 - 5*g. Let p(t) be the second derivative of c(t). Factor p(o).
4*o**2*(3*o - 1)/9
Find s, given that 55/2*s**4 - 20 - 395/2*s**3 + 45/2*s**5 - 35*s + 405/2*s**2 = 0.
-4, -2/9, 1
What is z in -1/7*z**5 + 16/7*z + 45/7*z**3 + 47/7*z**2 + 13/7*z**4 + 0 = 0?
-1, 0, 16
Let u(a) be the first derivative of -1/8*a**3 - 1/4*a**2 - 1/48*a**4 + 4*a - 5. Let m(p) be the first derivative of u(p). Let m(y) = 0. Calculate y.
-2, -1
Let i be (6/9 + -1)*(6 + -15). Suppose -19 = -i*w - 2*z, 2*z + 1 = 2*w + z. Factor 162/7*v**w + 8/7*v + 0 + 72/7*v**2.
2*v*(9*v + 2)**2/7
Let w(s) = -82*s**4 + 83*s**3 + 108*s**2 + 17*s - 7. Let x(n) = 6*n + 36*n**2 - 25 + 28*n**3 + 13 + 10 - 27*n**4. Let b(j) = 6*w(j) - 21*x(j). Factor b(c).
3*c*(c - 2)*(5*c + 2)**2
Let s(j) be the first derivative of 1/6*j**4 + 0*j + 9/2*j**2 + 1/3*j**5 + 0*j**3 - 3. Let i(k) be the second derivative of s(k). Determine a so that i(a) = 0.
-1/5, 0
Let t(u) be the first derivative of -u**6/90 + u**5/30 - u**3/9 + u**2/6 + 11*u + 12. Let f(h) be the first derivative of t(h). Factor f(k).
-(k - 1)**3*(k + 1)/3
Solve 0 + 2/23*c**4 + 0*c + 2/23*c**5 - 12/23*c**3 + 0*c**2 = 0 for c.
-3, 0, 2
Let z = 2/559 - -535/6708. Let u(k) be the third derivative of z*k**4 + 1/20*k**6 + 8*k**2 + 0 + 0*k**3 + 0*k - 1/105*k**7 - 1/10*k**5. Factor u(a).
-2*a*(a - 1)**3
Let l be ((-9)/(-6))/((-5)/(3520/(-12))). Let h = 442/5 - l. Let -2/5*c**5 - 4/5*c**2 + 0*c + 0 + 4/5*c**4 + h*c**3 = 0. Calculate c.
-1, 0, 1, 2
Let j = 59 - 59. Factor 0 + 2*f**3 - 2190*f**2 + j - 8*f + 2196*f**2.
2*f*(f - 1)*(f + 4)
Let v be -1*((-1)/8 + (-217)/56). Suppose 2*i - r = -2*i + 36, -3*i - 5*r + 4 = 0. Factor i*w + w**4 + v*w**4 - w**4 - 4*w**2 - 8*w**2.
4*w*(w - 1)**2*(w + 2)
Let o(l) = -175*l**2 + 30*l + 70. Let z(y) = 12*y**2 + y. Let u(h) = o(h) + 15*z(h). Factor u(g).
5*(g + 2)*(g + 7)
Suppose -f = 5 - 1. Let y be (f/60)/(2/(-24)). Factor -2/5*v**3 - y - 2*v - 8/5*v**2.
-2*(v + 1)**2*(v + 2)/5
Determine q so that -12 + 3/8*q**2 - 21/4*q = 0.
-2, 16
Let j(n) = -n**2 + 1 + 6*n**3 + n**4 - 2*n - 3 + 5 + 7*n**2. Let r(f) = f**4 + 5*f**3 + 5*f**2 - f + 2. Let q(a) = 4*j(a) - 6*r(a). Let q(d) = 0. What is d?
-1, 0
Let c be (-106 - -106) + (-2)/(-7). Factor 0 + 0*q**3 + 0*q - 2/7*q**2 + c*q**4.
2*q**2*(q - 1)*(q + 1)/7
Let w(y) = -8*y**3 - 8*y**2 + 7*y + 3. Let j(k) = 65*k**3 + 65*k**2 - 55*k - 25. Let a = 39 + -36. Let m(t) = a*j(t) + 25*w(t). Solve m(g) = 0.
-2, 0, 1
Let y = 117 - 115. Let b = 5994/7 - 854. Let 4/7*d**y + b*d + 12/7 = 0. Calculate d.
-3, -1
Let -8/3*a - 1/3*a**4 + 4/3 + a**2 + 2/3*a**3 = 0. What is a?
-2, 1, 2
Let s(h) be the first derivative of -4*h**4 + 11*h**3/3 + 2*h**2 + h - 4. Let m(k) = -15*k**3 + 10*k**2 + 5*k. Let i(j) = 6*m(j) - 5*s(j). Factor i(t).
-5*(t - 1)*(t + 1)*(2*t - 1)
Let o = 107 + -87. Let w = 6 + -2. Let 17*u**4 + u - 7*u - o*u**w + 9*u**2 = 0. Calculate u.
-2, 0, 1
Let l(b) = 2*b - 1. Let u(z) = 63*z - 63. Let t(x) = -28*l(x) + u(x). Let d be t(5). Factor 0 + 1/6*k**3 - 1/6*k**2 + 1/2*k**5 + 5/6*k**4 + d*k.
k**2*(k + 1)**2*(3*k - 1)/6
Let g(i) be the second derivative of -i**5/570 + i**4/57 - 4*i**3/57 + 7*i**2 + 13*i. Let n(r) be the first derivative of g(r). Find j, given that n(j) = 0.
2
Let a(p) = -5*p**3 + 7*p + 7. Let c(v) = 7*v**3 - 2*v - 7. Let n(i) = 6*i**3 - 2*i - 6. Let m(k) = -4*c(k) + 5*n(k). Let b(o) = -2*a(o) - 7*m(o). Factor b(r).
-4*r**3
Let u(p) be the second derivative of -p**6/45 + 163*p**5/15 - 26569*p**4/18 - 1107*p. Factor u(c).
-2*c**2*(c - 163)**2/3
Let 795 - d**4 - 795 - 15*d**2 - 3*d**2 - 19*d**3 = 0. Calculate d.
-18, -1, 0
Let r(i) be the second derivative of -i**5/50 + 3*i**4/10 - i**3 + 7*i**2/5 - 8*i. Factor r(y).
-2*(y - 7)*(y - 1)**2/5
Suppose 3*t + 6 = 2*t + 4*d, 6 = 5*t - 2*d. Solve -p + 32 - 6*p - p**2 + 3*p**t - 9*p = 0.
4
Let r(z) be the first derivative of 2*z**3/27 - 26*z**2/9 + 70*z/3 + 613. Solve r(v) = 0 for v.
5, 21
Let y(x) = 3*x**5 - 21*x**3 + 12*x**2 + 6. Let s(f) = -6*f**5 + 40*f**3 - 23*f**2 - 11. Let u(n) = 6*s(n) + 11*y(n). Factor u(m).
-3*m**2*(m - 1)**2*(m + 2)
Let s = -31 + 36. Factor 4*x**s + 8*x**2 - 3*x**3 - 2*x**3 - x**3 - 6*x**3.
4*x**2*(x - 1)**2*(x + 2)
Determine n, given that 16*n - 12*n**2 + 20 - 26 - 43*n = 0.
-2, -1/4
Let n(w) be the second derivative of -5*w**6/6 - 3*w**5 + 5*w**4/12 + 10*w**3 + 10*w**2 - 184*w. Let n(z) = 0. What is z?
-2, -1, -2/5, 1
Let t be (-531)/(-648) + 6/(-16). Let t*v**2 - 2/9*v**3 + 0*v - 2/9*v**4 + 0 = 0. What is v?
-2, 0, 1
Factor 0 + 1944*f + 218/3*f**3 - 2016*f**2 - 2/3*f**4.
-2*f*(f - 54)**2*(f - 1)/3
Factor -29/3*w + 10*w**2 - 1/3*w**3 + 0.
-w*(w - 29)*(w - 1)/3
Let r be -13 - 4 - 3201/(-165). Suppose -4/5*i**4 - r*i**2 + 16/5*i + 16/5 - 16/5*i**3 = 0. Calculate i.
-2, -1, 1
Let k(z) be the second derivative of z**4/4 + z**3/2 - 9*z**2 - 209*z. Factor k(h).
3*(h - 2)*(h + 3)
Let f be (4 + -19)/(-5)*2. Let n(j) be the second derivative of 0 - 1/4*j**4 + 0*j**3 + 3/2*j**2 - f*j. Factor n(b).
-3*(b - 1)*(b + 1)
Let c(t) = -90*t - 4138. Let k be c(-46). Find z, given that -3/5*z**4 + 0*z**k + 0 - 9/5*z**3 + 0*z = 0.
-3, 0
Let j(b) be the third derivative of -3 + 1/30*b**4 + 1/25*b**5 + 13/600*b**6 + 1/1680*b**8 + 1/175*b**7 + 0*b**3 - 14*b**2 + 0*b. Suppose j(u) = 0. Calculate u.
-2, -1, 0
Factor 115*t**3 - 2*t**5 - 2*t**5 - 2752*t**4 - t**5 + 60*t**2 + 2802*t**4.
-5*t**2*(t - 12)*(t + 1)**2
Suppose -4*u - 9 = -21. Let h(z) be the first derivative of -u - 1/8*z**4 + 0*z**2 + 1/10*z**5 - 1/36*z**6 + 1/18*z**3 + 0*z. Factor h(k).
-k**2*(k - 1)**3/6
Factor -3/10*z**3 - 1/10*z**4 + 0 + 1/2*z**2 + 1/10*z**5 - 1/5*z.
z*(z - 1)**3*(z + 2)/10
Suppose 646 + 846 + 3348*a + 1034*a**2 + 72*a**4 + 3*a**5 - 497*a**2 + 452 + 603*a**3 + 1593*a**2 = 0. Calculate a.
-9, -2
Suppose -153*j + 2*j + 92 + 361 = 0. Let -1/8 - 1/8*r**j + 1/8*r + 1/8*r**2 = 0. What is r?
-1, 1
Factor -2327*g**2 + 57*g**4 - 4*g**5 + 90*g**3 - g**5 + 2*g**5 + 2390*g**2 + 33*g**3.
-3*g**2*(g - 21)*(g + 1)**2
Let s = 10 + -14. Let z = -1 - s. Determine g so that 3*g**3 + 8*g**2 - 12*g**2 - g**z + 2*g = 0.
0, 1
Let x(l) = -109*l + 330. Let i be x(3). Solve 6/5*q**i + 2/5*q**5 - 8/5*q**2 + 8/5*q**4 + 0 - 8/5*q = 0.
-2, -1, 0, 1
Suppose 2*u + o = 111, 0 = 5*o - 7 + 2. Let k = 57 - u. Let 0*t + 2/5*t**k - 2/5 = 0. What is t?
-1, 1
Determine n so that 0 - 46/5*n - 1/10*n**2 = 0.
-92, 0
Let k(h) = -2*h**4 - 4*h. Let p = -8 + 20. Let y(x) = p*x - x**4 - x + 7*x**4. Let s(d) = 11*k(d) + 4*y(d). Find t, given that s(t) = 0.
0
Let j(l) be the first derivative of l**3/2 - 63*l**2/4 + 81*l - 163. Factor j(y).
3*(y - 18)*(y - 3)/2
Let b(k) be the first derivative of -3*k**5/20 - 3*k**4/4 - k**3 + 5*k + 6. Let f(x) be the first derivative of b(x). What is o in f(o) = 0?
-2, -1, 0
Let l(y) = y + 8. Let t be l(-4). Determine x so that 4*x - x**2 + 2 + 1 - t - 3 = 0.
2
Let n(i) be the second derivative of 0 + 0*i**2 + 2/45*i**6 + 0*i**5 - 20*i - 1/9*i**4 + 0*i**3. Factor n(a).
4*a**2*(a - 1)*(a + 1)/3
Let t(g) be the first derivative of -25*g**7/168 - 55*g**6/72 - 13*g**5/8 - 15*g**4/8 - 16*g**3/3 + 14. Let l(h) be the third derivative of t(h). Factor l(w).
-5*(w + 1)*(5*w + 3)**2
Suppose 0 + 10/7*c**2 + 8/7*c + 2/7*c**3 = 0. Calculate c.
-4, -1, 0
Let t(d) be the first derivative of -15 + 108*d**3 - 52*d**3 - 12*d - 57*d**3 + 6*d**2 + 0*d**2. Suppose t(h) = 0. What is h?
2
Let m(a) be the first derivative of -a**4/8 + 4*a**3/3 - 5*a**2/4 - 25*a - 41. Solve m(p) = 0.
-2, 5
Let q(n) be the second derivative of 2*n**6/15 - 7*n**5/5 + 5*n**4 - 6*n**3 - 89*n. Solve q(w) = 0 for w.
0, 1, 3
Let v(q) = 73*q**4 + 533*q**3 + 1125*q**2 - 1213*q - 509. Let r(b) = b**5 - b**4 - 2*b**3 + b**2 - b - 1. Let t(j) = -3*r(j) - v(j). What is c in t(c) = 0?
-8, -1/3, 1
Let x(z) be the first derivative of -2*z**6 - 5*z**4 + 0*z + 4/3*z**3 + 28/5*z**5 - 13 + 0*z**2. Let x(o) = 0. Wha