st derivative of -h**5/30 - 5*h**4/6 + h**3/18 + 5*h**2/3 + 364. Solve z(o) = 0.
-20, -1, 0, 1
Suppose 1 = -2*l + 5. Let t be ((-52)/39)/(l/(-3)). Factor -8*q + 2*q**t + 531 - 531.
2*q*(q - 4)
Suppose -3*p + 15 = 0, 0 = -c + 5*p - 0*p - 25. Factor 2/17*r**4 + 0*r + c + 0*r**2 + 2/17*r**3.
2*r**3*(r + 1)/17
Let r(n) be the third derivative of -n**5/90 - 41*n**4/12 + 12*n**2 + 3. Find w such that r(w) = 0.
-123, 0
Let z(s) be the first derivative of 0*s + 1/14*s**4 - 24 + 3/7*s**2 + 8/21*s**3. What is y in z(y) = 0?
-3, -1, 0
Let r(c) be the first derivative of 2/15*c**3 + 0*c - 1/5*c**2 - 2/25*c**5 + 8 + 1/10*c**4. Factor r(a).
-2*a*(a - 1)**2*(a + 1)/5
Let b(p) be the second derivative of 2*p**6/15 + 16*p**5/5 + 77*p**4/3 + 220*p**3/3 + 96*p**2 - 184*p. Let b(o) = 0. What is o?
-8, -6, -1
Let a = 435 + -1303/3. Find s such that 2*s**2 + 2/3*s**3 - 2/3*s**4 - 4/3 - a*s = 0.
-1, 1, 2
Let q(o) be the second derivative of -2*o**7/273 + 3*o**6/65 + 7*o**5/130 - 3*o**4/26 - 5*o**3/39 + 2*o + 91. Solve q(j) = 0.
-1, -1/2, 0, 1, 5
Suppose 0 = -6*g + 3*g - 3*l + 195, 3*l = 5*g - 317. Find b such that -1 - g*b**4 + 2 + 65*b**4 - 2*b**2 = 0.
-1, 1
Let k(o) be the second derivative of o**7/294 + 17*o**6/210 - 37*o**5/140 + 19*o**4/84 + 30*o - 2. Suppose k(d) = 0. Calculate d.
-19, 0, 1
Let c(i) be the second derivative of 0 - 4/39*i**3 - 1/13*i**4 - 1/195*i**6 + 8/13*i**2 - 5*i + 1/26*i**5. Factor c(v).
-2*(v - 2)**3*(v + 1)/13
Determine k so that 9/2*k - 9/2*k**3 - 1/2*k**4 - 5 + 11/2*k**2 = 0.
-10, -1, 1
Let z(f) be the first derivative of f**4/4 + 7*f**3/3 - 4*f**2 + 96. Factor z(l).
l*(l - 1)*(l + 8)
Let b(h) be the second derivative of h**4/24 - 14*h**3/3 + 196*h**2 - 47*h. What is y in b(y) = 0?
28
Let x(z) be the third derivative of -z**6/600 + z**5/100 - z**4/40 - 8*z**3/3 + 16*z**2. Let j(k) be the first derivative of x(k). Determine p so that j(p) = 0.
1
Let r(o) = 2*o**2 - o + 1. Let i(l) = 2*l**2 - 22*l + 50. Let d(p) = i(p) - 2*r(p). Factor d(m).
-2*(m - 2)*(m + 12)
Suppose -1 = u - 3*r, 4*u - 4*r - 2 = 2. Suppose -2*s**2 - 2*s + 6*s**u - 3*s**2 + 1 = 0. Calculate s.
1
Let z(s) be the second derivative of s**7/210 - s**6/120 - s**5/60 + s**4/24 - 3*s**2 + 4*s. Let m(n) be the first derivative of z(n). Factor m(i).
i*(i - 1)**2*(i + 1)
Let j = 34 + -22. Suppose 0 = 2*w - 2*k - j, w = 5*k + 9 + 13. Solve -2/3 - b - 1/3*b**w = 0 for b.
-2, -1
Let x(p) = 3*p**2 + 2*p + 2. Let a(o) = o**2 + 9*o + 10. Let m be a(-8). Let r(y) = -4*y**2 - y - 1. Let i(h) = m*r(h) + 3*x(h). Factor i(j).
(j + 2)**2
Let k = 9783 + -9779. Factor 1/8*b**k + 0 + 1/8*b**3 + 0*b**2 + 0*b.
b**3*(b + 1)/8
Let y(t) = 143*t**3 - 1170*t**2 + 735*t - 112. Let s(z) = -191*z**3 + 1560*z**2 - 980*z + 149. Let h(f) = -8*s(f) - 11*y(f). Factor h(w).
-5*(w - 8)*(3*w - 1)**2
Let l = -1515 - -3033/2. Let t(i) be the first derivative of -4 - l*i**2 + 7/5*i**3 - 6/5*i. Determine f so that t(f) = 0.
-2/7, 1
Suppose 3*p + 2*x + 3*x - 486 = 0, -4*p + 2*x = -648. Suppose 0 = -p*j + 156*j. What is a in j - 2/11*a**2 - 2/11*a = 0?
-1, 0
Suppose 3*w - 3*i - 297 + 282 = 0, -w - 2*i = 10. Determine a so that w - 4/13*a**4 - 14/13*a**3 + 14/13*a**5 + 4/13*a**2 + 0*a = 0.
-1, 0, 2/7, 1
Let u(r) be the first derivative of 16*r**5/15 - 71*r**4/3 + 200*r**3/9 + 34*r**2/3 - 519. Let u(l) = 0. Calculate l.
-1/4, 0, 1, 17
Let x(u) be the second derivative of u**4/24 - u**3/2 - 4*u**2 + 117*u. Let x(h) = 0. What is h?
-2, 8
Let c(f) = -4*f**2 + 9*f + 3. Let m(v) = 7*v - 13*v + 0*v + 7*v. Let x be m(-5). Let z(u) = u**2 - u. Let b(d) = x*z(d) - c(d). Factor b(y).
-(y + 1)*(y + 3)
Suppose 4*f + 4*z + 8 = 0, -2*f = -2*z + 10 + 6. Let x(d) = d + 5. Let t be x(f). Factor 0*i + 2/3*i**4 - 2/3*i**3 + t + 2/9*i**2 - 2/9*i**5.
-2*i**2*(i - 1)**3/9
Factor 1/6*t**5 - 1 - t**3 + 1/3*t**4 - 10/3*t**2 - 19/6*t.
(t - 3)*(t + 1)**3*(t + 2)/6
Let x be 5/10*(-4)/(-1). Factor -5*b**2 - 3*b**x - 5*b**2 + 2*b + 11*b**3.
b*(b - 1)*(11*b - 2)
Let k(m) = -4*m**5 + 7*m**4 - 2*m**3 + 5*m**2 - 3*m - 3. Let s(r) = 3*r**5 - 6*r**4 + 3*r**3 - 4*r**2 + 2*r + 2. Let a(c) = 2*k(c) + 3*s(c). Factor a(w).
w**2*(w - 2)*(w - 1)**2
Let z(y) = -13*y**2 - 44*y + 512. Let r(p) = 2*p**2 - 4. Let k(o) = 35*r(o) + 5*z(o). Factor k(g).
5*(g - 22)**2
Let n(g) be the third derivative of g**6/40 + 53*g**5/60 - 73*g**4/12 - 20*g**3 - 417*g**2. Determine w so that n(w) = 0.
-20, -2/3, 3
Let x(n) be the first derivative of -n**6/10 + 9*n**5/25 - 4*n**3/5 + 70. Factor x(y).
-3*y**2*(y - 2)**2*(y + 1)/5
Let w(x) be the second derivative of -x**4/36 - x**3/3 + 8*x**2/3 - x - 60. Factor w(j).
-(j - 2)*(j + 8)/3
Let c(f) be the third derivative of f**6/80 - f**5/40 - f**4/4 + f**3 + 214*f**2. Factor c(r).
3*(r - 2)*(r - 1)*(r + 2)/2
Let l(w) = 5*w**2 + 5*w. Let f(z) = 11*z**2 + 11*z + 1. Let y(x) = -4*f(x) + 9*l(x). Let i be y(-3). What is m in -m + m**i - 4 - m**3 + 0*m + 5*m = 0?
-2, 1, 2
Let k be -1*((-944)/(-80) - 13)/2. Let c(z) = z**3 + 3*z**2 - z - 1. Let w be c(-3). What is d in -1/5 - 2/5*d + k*d**w = 0?
-1/3, 1
Let y(a) be the first derivative of -4*a**6 - 9492*a**5/5 - 2499555*a**4/8 - 18190854*a**3 + 13760604*a**2 - 3449952*a + 298. Let y(t) = 0. What is t?
-132, 1/4
Let j(u) be the second derivative of -2/3*u**2 - u - 5/27*u**3 - 1/54*u**4 + 15. Factor j(m).
-2*(m + 2)*(m + 3)/9
Let m(h) = -2*h + 2. Let y(v) = v**2 + 3*v - 8. Let a be y(-6). Let w = 12 - a. Let j(q) = -q**3 - q + 1. Let n(f) = w*j(f) - m(f). Factor n(b).
-2*b**3
Let x = 161 + -8213/51. Let o = 5/17 - x. Let o + 1/3*k**2 + 2/3*k = 0. What is k?
-1
Find f such that -5 + 11*f**2 - 6*f + 2*f**3 + 25*f**2 + 0*f**3 - 27*f**2 = 0.
-5, -1/2, 1
Let n(h) be the third derivative of h**6/24 + 7*h**5/4 + 165*h**4/8 - 605*h**3/6 + 729*h**2. Factor n(m).
5*(m - 1)*(m + 11)**2
Factor 7*v**2 + 1/3*v**4 + 23/3*v - 22/3 - 23/3*v**3.
(v - 22)*(v - 1)**2*(v + 1)/3
Let b(g) = 57*g**2 + 60*g. Let d(q) = 2*q**2. Let u(t) = b(t) - d(t). Determine y, given that u(y) = 0.
-12/11, 0
Let v(r) = 20*r**2 - 8*r - 30. Let o(h) = 7*h**2 - 3*h - 10. Let z(j) = 17*o(j) - 6*v(j). Let g be z(-5). Solve 0*m**3 + 2/7*m**4 - 6/7*m**2 + g - 4/7*m = 0.
-1, 0, 2
Let k(s) be the second derivative of 0*s**2 - 1/20*s**5 - 11*s + 1/6*s**4 + 0*s**3 + 0. Factor k(u).
-u**2*(u - 2)
Suppose 0*n + 2*n = 3*z - 10, -2 = z + 2*n. Suppose 3*k - z*k**2 - 3*k**2 + 6*k**2 = 0. Calculate k.
-3, 0
Let c(z) = -5*z**3 - z - 2. Let m be c(2). Let o be 3/(-4) - m/16. Factor -12*i + 0 + 1 - 10 + 1 - 4*i**o.
-4*(i + 1)*(i + 2)
Let i(p) be the first derivative of -5*p**3/6 - 125*p**2/2 - 3125*p/2 + 85. Let i(x) = 0. What is x?
-25
Let t(n) = -20*n**2 - 20*n - 60. Let k(a) = -3*a**2 - 2. Let s(v) = -6*k(v) + t(v). Solve s(d) = 0.
-6, -4
Let u(l) be the first derivative of -30 + 3/4*l**2 + 3*l - 1/2*l**3. Factor u(z).
-3*(z - 2)*(z + 1)/2
Let d be (1 - -10) + (7 - 6). Suppose 37 = 5*p + d. Let -x**5 + 3*x**4 - 12*x**2 + 6*x**4 - 2*x**p = 0. What is x?
-1, 0, 2
Suppose 6*o = o + 125. Let l be (-4)/(-10) + 40/o. Solve -4 + 52*t**4 - 4*t**5 + 3*t**3 + 2*t - 38*t**3 + 32*t**l - 33*t**3 - 10*t**5 = 0.
-2/7, 1
Let f be (-105)/6*1*(-8)/5. Let g be 3/(-6)*(-1 - 15). Factor f*v**5 + g*v**2 - 9*v**3 + 4*v**3 + 17*v**3 - 48*v**4.
4*v**2*(v - 1)**2*(7*v + 2)
Factor -92*c + 3174 + 2/3*c**2.
2*(c - 69)**2/3
Factor 79*f**3 + 5*f**4 - 6*f**3 + 80 - 168*f**3 + 255*f**2 - 245*f.
5*(f - 16)*(f - 1)**3
Let c be (-14)/(-3647)*(-1 - -2). Let u = c + 2066/4689. Determine l so that 4/9*l - 14/9*l**2 + 0 + u*l**3 + 2/3*l**4 = 0.
-2, 0, 1/3, 1
Let r(j) = 5*j**3 + j**2 - 32*j - 58. Let k(n) = -42*n**3 - 8*n**2 + 256*n + 463. Let t(m) = -6*k(m) - 51*r(m). Let t(f) = 0. Calculate f.
-5, -2, 6
Let a(u) = 6*u**4 + 159*u**3 + 447*u**2 + 210*u. Let m(q) = -q**4 - 32*q**3 - 89*q**2 - 42*q. Let w(s) = 4*a(s) + 21*m(s). Determine l, given that w(l) = 0.
-1, 0, 14
Let q(g) be the first derivative of -3*g**5/5 - 27*g**4/4 + 36*g**3 - 96. Factor q(s).
-3*s**2*(s - 3)*(s + 12)
Let g(h) = 65*h**3 + 145*h**2 + 120*h + 40. Suppose -4*y = 2*y - 18. Let x(o) = 8*o**3 + 18*o**2 + 15*o + 5. Let v(m) = y*g(m) - 25*x(m). Solve v(n) = 0 for n.
-1
Suppose 3*q + 15 = 5*i, 0 = 5*q - 3*q. Suppose 3*t - u - 7 = 0, 2*t - 5*u + 0 + 4 = 0. Factor 12*s - s**3 - 2*s**i + s**3 + t*s**4 - 7*s**3.
3*s*(s - 2)