t k(z) = 0. Calculate z.
-1, 2/7, 2, 13
Let w(x) be the first derivative of -13*x**5/5 + 27*x**4/2 + 19*x**3 - 5*x**2 + 267. Factor w(r).
-r*(r - 5)*(r + 1)*(13*r - 2)
Let p(o) be the first derivative of o**7/1960 - o**6/140 + 3*o**5/70 - o**4/7 - 65*o**3/3 - o**2/2 - 17. Let x(f) be the third derivative of p(f). Factor x(g).
3*(g - 2)**3/7
Let y(s) be the second derivative of s**4/24 - 13*s**3/3 + 25*s**2 - 790*s. Determine f, given that y(f) = 0.
2, 50
Let y(f) be the second derivative of f**4/6 - 1390*f**3/3 + 483025*f**2 - 106*f - 8. Factor y(j).
2*(j - 695)**2
Suppose 5*l - 7 = -7. Let m(k) = k**3 + k**2 + 2. Let r be m(l). Factor -53*i**4 + 864*i**3 + 149*i**4 + 3456*i**r + 5184*i + i**5 + 3*i**5.
4*i*(i + 6)**4
Let u(j) = j - 3. Let v be u(8). Suppose 4*r = -h + 28, 4*r - 27 = -v*h + 1. What is d in 180*d + 3*d**2 + 4 - 180*d - r = 0?
-1, 1
Suppose 90*y + 189*y**2 + 7*y**4 + 27*y**3 - y**5 + 36*y**3 + 121*y**3 - 20*y**3 - 57*y**3 = 0. Calculate y.
-6, -1, 0, 15
Let g(p) = -99*p**2 - 351*p + 360. Let n(r) = -316*r**2 - 1052*r + 1080. Let h(v) = -16*g(v) + 5*n(v). Factor h(i).
4*(i - 1)*(i + 90)
Let b = 28727/27720 - 545/504. Let o = 8/55 - b. What is z in 2/7*z + o + 2/21*z**2 = 0?
-2, -1
Let o = 17421791/19 - 916933. Find h, given that -242/19*h**3 - 14/19*h**4 - o*h + 0 - 292/19*h**2 = 0.
-16, -1, -2/7, 0
Let a(w) be the first derivative of -100 - 1/10*w**4 - 1/15*w**3 + 0*w - 1/25*w**5 + 0*w**2. Solve a(v) = 0.
-1, 0
Suppose -558 + 554 = 2*b. Let o be (24/b)/3 + 68/17. Let 2*k + o + 1/3*k**2 = 0. What is k?
-6, 0
Suppose -3 = -3*t + 9. Solve 60 + 87*s + 37*s + 214*s**2 - 146*s**2 + t*s**3 = 0.
-15, -1
Let u be (6 - (30 - 56 - -32))/(1 + 2 + -1). Let h = -64 - -321/5. Suppose u + h*s**3 + 1/5*s - 2/5*s**2 = 0. Calculate s.
0, 1
Let p(n) be the third derivative of 0*n**3 + 110*n**2 + 0*n**5 + 0*n**7 - 1/24*n**4 - 1/336*n**8 + 0 + 1/60*n**6 + 0*n. Suppose p(i) = 0. Calculate i.
-1, 0, 1
Let b(r) be the first derivative of 0*r**2 + 19/100*r**5 - 3*r - 7/150*r**6 - 2/15*r**4 + 8 - 2/15*r**3. Let f(u) be the first derivative of b(u). Factor f(v).
-v*(v - 2)*(v - 1)*(7*v + 2)/5
Suppose 6 = 105*j - 102*j. Let o(m) be the first derivative of -16/3*m**3 + 20 + 4*m + 6*m**j. Solve o(f) = 0.
-1/4, 1
Let r be (((-10)/12)/(66/99))/((-6)/8). Suppose r + 1/3*j**2 + 2*j = 0. Calculate j.
-5, -1
Let u(k) = k**2 + 10*k - 1. Let h(o) = 7*o**2 - 658*o + 62653. Let b(d) = h(d) - 5*u(d). Factor b(m).
2*(m - 177)**2
What is y in 34 - 3*y**5 - 73/2*y**4 + 138*y + 225*y**3 - 715/2*y**2 = 0?
-17, -1/6, 1, 2
Suppose 0 = 189*h - 195*h + 12. Let w(x) = 19*x. Let a be w(1). Determine t, given that -h*t - 4*t + 22*t**2 - a*t**2 + 0*t = 0.
0, 2
Suppose z - 7*a = 3, z + 5*a - 3 = a. Let p(w) be the second derivative of 0*w**z + 0*w**2 + 29*w - 1/18*w**6 + 0 - 5/9*w**4 + 5/12*w**5. Factor p(q).
-5*q**2*(q - 4)*(q - 1)/3
Let l(x) be the third derivative of -x**5/12 - 465*x**4/4 - 2785*x**3/6 - 1892*x**2 - x. Factor l(v).
-5*(v + 1)*(v + 557)
Let k = 7328 + -7324. Let t(h) be the second derivative of -2/3*h**3 - 3*h**2 + 0 - h - 1/18*h**k. Factor t(m).
-2*(m + 3)**2/3
Suppose -1276*p - 18 = -1285*p. Factor -5 - 26*u**2 - 3*u + 23*u - 9 - p + 22*u**2.
-4*(u - 4)*(u - 1)
Suppose q - 33*o + 37*o = 18, 3*q + o = 32. Let a be (-9)/(45/q) + 6/1. Factor m**a - 9/5*m**3 - 2/5*m - 1/5*m**5 + 0 + 7/5*m**2.
-m*(m - 2)*(m - 1)**3/5
Let y(q) be the second derivative of -8/3*q**3 + 0 - 1/24*q**5 - 1/6*q**4 + 0*q**2 - 1/360*q**6 + 9*q. Let t(d) be the second derivative of y(d). Factor t(g).
-(g + 1)*(g + 4)
Suppose 12 = -3*r + 2*k, 0 = 2*r - 359*k + 362*k - 31. Let 0 - 4*u**3 + 2/3*u**4 - 8/3*u**r + 16/15*u + 14/15*u**5 = 0. Calculate u.
-2, -1, 0, 2/7, 2
Let b(g) be the first derivative of 2*g**3/27 + 128*g**2/9 + 8192*g/9 - 2021. Solve b(k) = 0.
-64
Let h(r) = 22*r**3 - 40*r**2 - 102*r + 196. Let y(b) = b + 2. Let o(v) = -h(v) + 2*y(v). Factor o(f).
-2*(f - 2)**2*(11*f + 24)
Let g(b) = b**3 - 2*b**2 - 5. Suppose 6 = -6*n + 8*n. Let m be g(n). Suppose 0*t**m + 120*t**2 + 4*t**4 + 40*t**3 + 2*t**4 - t**4 + 160*t + 80 = 0. Calculate t.
-2
Let c(z) be the third derivative of 4/3*z**3 - 1/84*z**8 - 1/6*z**4 + 0*z - 4/15*z**5 + 0 + 157*z**2 + 1/15*z**6 + 4/105*z**7. Solve c(b) = 0 for b.
-1, 1, 2
Suppose -11*h - 24*h - 2695 = 0. Let f = 77 + h. Let 6/17*q**2 - 4/17*q - 2/17*q**3 + f = 0. Calculate q.
0, 1, 2
Let r(d) be the second derivative of -84*d + 0*d**2 + 0 + 1/28*d**4 + 3/14*d**3. Let r(j) = 0. What is j?
-3, 0
Let c = -23230/3 - -7750. Let b(i) be the first derivative of 46 + c*i**3 - 5/4*i**4 + 0*i - 10*i**2. Suppose b(o) = 0. Calculate o.
0, 2
Let l(d) be the third derivative of d**9/514080 + d**8/28560 + 7*d**5/12 - 9*d**2. Let k(x) be the third derivative of l(x). Factor k(n).
2*n**2*(n + 6)/17
Suppose 0 = -10*s + 19 + 31. Factor 6*u - 24*u + 15*u + u**2 + s*u - 7 + 4*u.
(u - 1)*(u + 7)
Let j(s) be the third derivative of -11/210*s**5 + 0 - 1/84*s**4 + 11/21*s**3 + 0*s + 1/420*s**6 - 6*s**2. Factor j(x).
2*(x - 11)*(x - 1)*(x + 1)/7
Let u(y) be the first derivative of -1/8*y**2 - y + 32 + 1/24*y**3. Determine m so that u(m) = 0.
-2, 4
Let z(v) be the second derivative of v**7/70 - 61*v**6/150 - 102*v**5/25 - 214*v**4/15 - 24*v**3 - 104*v**2/5 + 1471*v. Solve z(l) = 0.
-2, -1, -2/3, 26
Suppose 0 = -52*t - 347 + 741 - 186. Determine r, given that 0*r - 1/5*r**t - 4/5*r**3 + 0 - 3/5*r**2 = 0.
-3, -1, 0
Let y(f) = -15*f**3 + 132*f**2 - 114*f + 60. Let h(i) = 3*i**3 - 26*i**2 + 23*i - 12. Let r = -139 + 143. Let a(g) = r*y(g) + 21*h(g). Factor a(x).
3*(x - 4)*(x - 1)**2
Suppose 4232 + 897*v**2 + 48*v**2 + 2*v**4 + 270*v**2 - 100*v**3 + 219*v**2 - 4600*v = 0. What is v?
2, 23
Let z(c) be the second derivative of -5*c**7/42 - 2*c**6 - 15*c**5/2 - 35*c**4/3 - 15*c**3/2 - 46*c + 3. Let z(r) = 0. Calculate r.
-9, -1, 0
Let l = 23037/10907 + 35/839. Find f, given that -12/13*f**4 + 2/13*f**5 - 4/13 + 18/13*f + l*f**3 - 32/13*f**2 = 0.
1, 2
Let y(q) = q**2 + 500*q + 10062. Let f be y(-21). Factor 66/5*j**f + 16*j**2 + 2/5*j**5 + 0 + 4*j**4 + 32/5*j.
2*j*(j + 1)**2*(j + 4)**2/5
Suppose 54*t - 99*t**2 + 9/2*t**4 + 84 + 33/2*t**3 = 0. Calculate t.
-7, -2/3, 2
Let j(x) = -38*x**2 - 470*x - 935. Let v(s) = -21*s**2 - 235*s - 470. Let y(n) = 4*j(n) - 7*v(n). Find a, given that y(a) = 0.
-45, -2
Let w be 2 - ((-6)/(-6))/((-2)/(-20)). Let c(r) = -r - 3. Let v be c(w). Factor 12*m - 2*m**3 + 14*m - 4 - 10 - 5*m**2 - v*m**2.
-2*(m - 1)**2*(m + 7)
Let o = -493 - -504. Let i(q) be the first derivative of 0*q + 45/4*q**4 + 0*q**2 + 40/3*q**3 + q**5 + o. What is s in i(s) = 0?
-8, -1, 0
Let -192/5*h + 3/5*h**2 + 189/5 = 0. What is h?
1, 63
Let z = 845/2 - 421. Let s = 290 + -288. Suppose -3 + 3/2*t**s + z*t = 0. What is t?
-2, 1
Let x be ((-32)/12)/(-4) + (-20)/30. Suppose -19*n = -x*n. Solve 0 - 3/2*c**4 + 0*c**3 + n*c**2 + 1/2*c**5 + 0*c = 0 for c.
0, 3
Let x be (-26 - -68)*(204/(-8) - 0). Let w = 1074 + x. Find o such that -2/3*o**w + 6*o**2 - 10*o + 14/3 = 0.
1, 7
Let o(m) = -2*m - 10. Let v be o(-7). Suppose 5*r + 105 = v*w, -w + 14 = 2*r + 4. Factor -z**2 - 9 + 6*z**2 + 0*z + w*z + 24.
5*(z + 1)*(z + 3)
Let s be -6 + 11/(33/426). Suppose -5*d = f - 88 - 154, 4*f = 3*d - s. Let 24 + 27/2*a**4 + 84*a**2 + 3/2*a**5 + 72*a + d*a**3 = 0. What is a?
-2, -1
Let i = -6226/3 - -2076. Let t(g) = -2*g + 4. Let r be t(1). Factor i*h + 0 - 2/3*h**r.
-2*h*(h - 1)/3
Let a(g) be the third derivative of 17/12*g**5 + 50/3*g**3 - 15/2*g**4 + 0*g**6 + 0 - 1/42*g**7 - g - 17*g**2. Let a(q) = 0. What is q?
-5, 1, 2
Suppose 16*a + 287 = 637 - 302. Factor -128/5*z + 0 + 14/5*z**a + 1/5*z**4 + 32/5*z**2.
z*(z - 2)*(z + 8)**2/5
Let h be 2/32 - 4/2880*-1971. Solve -24/5 + 8/5*p + 2/5*p**3 + h*p**2 = 0 for p.
-6, -2, 1
Let r(p) = -7*p**2 + 12*p - 14. Let g be r(-7). Let l = -232 - g. Factor -2*m**4 - 2*m**3 + l*m - 420*m + 211*m.
-2*m**3*(m + 1)
Let z be 2/9*1539/171. Let i(s) be the third derivative of 0 + 0*s**4 + 1/130*s**5 - 1/390*s**6 + 0*s - 1/1365*s**7 + 18*s**z + 0*s**3. Factor i(c).
-2*c**2*(c - 1)*(c + 3)/13
Suppose -5*d = 5*b + 5, -b - 4*d - 11 = -4*b. Let f(u) = -59*u + 32*u + b + 28*u. Let t(y) = y**3 + 2*y**2 - 5*y - 6. Let x(i) = 30*f(i) + 5*t(i). Factor x(a).
5*a*(a + 1)**2
Factor -12/19 + 98/19*m - 16/1