- 147/4*k**3 + q*k**2 + 39*k = 0. What is k?
-2/7, 2
Let u(w) be the third derivative of 0 + 1/3*w**5 + 2/3*w**4 + 0*w**3 + 1/30*w**6 + 21*w**2 + 0*w. Factor u(d).
4*d*(d + 1)*(d + 4)
Let j(c) be the second derivative of c**6/10 - 3*c**5/80 - c**4/4 + c**3/8 + 11*c. What is g in j(g) = 0?
-1, 0, 1/4, 1
Let m = 10 + -5. Suppose 0 = -3*s + 22 + m. Let 0*o - 3*o**2 - 27 - s*o - 9*o = 0. Calculate o.
-3
Suppose 51/4*z - 1/4*z**3 + 3/2*z**2 + 11 = 0. Calculate z.
-4, -1, 11
Let t be ((-7)/(-56))/((-20)/(-80)). Determine z so that 1/2*z**4 + 0*z + t + 0*z**3 - z**2 = 0.
-1, 1
Let k(x) = x**3 + 30*x**2 + 28*x - 17. Let h be k(-29). Let c be (-6)/20*(-30)/h. Let 3/8*j**4 - 3/8*j**2 + 3/4*j - c*j**3 + 0 = 0. What is j?
-1, 0, 1, 2
Let f = -21 - -27. Let q be (f/(-8))/((-3)/12). What is m in -6*m - 3 + q*m**2 - 3 + 6 = 0?
0, 2
Let r(c) be the first derivative of 4*c**5/5 + 7*c**4 + 8*c**3 + 30. Factor r(d).
4*d**2*(d + 1)*(d + 6)
Let v(g) be the third derivative of g**6/480 + g**5/15 + 85*g**4/96 + 25*g**3/4 + 160*g**2. Factor v(a).
(a + 5)**2*(a + 6)/4
Let x(y) be the second derivative of -y**7/399 - 11*y**6/285 - 8*y - 4. Let x(j) = 0. What is j?
-11, 0
Suppose -14*t = -5*t + 522. Let v = t + 61. Suppose -3/5*r**4 + 3/5*r - 9/5*r**2 + 9/5*r**v + 0 = 0. Calculate r.
0, 1
Let c(t) = t - 1. Let x(l) = 3*l**2 + 30*l + 3. Let v(s) = 3*c(s) + x(s). Factor v(w).
3*w*(w + 11)
Suppose -9 = -3*r - 3*j, 0*r = r + 4*j. Suppose -2*i = -5*a + r, 2*i - 2*a = 6*i - 16. Find p, given that -i*p**3 - 28*p + 28*p + 3*p**4 = 0.
0, 1
Suppose 99 = -2*l - 369. Let k = 1176/5 + l. Let -k*r**2 + 3/5*r + 6/5*r**4 + 0*r**3 + 0 - 3/5*r**5 = 0. What is r?
-1, 0, 1
Let h be 2*(-6)/(-4)*11. Solve 10*u**2 - h*u**2 + 40*u + 8*u**2 - 20 = 0.
2/3, 2
Let h be 1/(-2)*(-3 - 1). Suppose 5*s - 18 = h*s. Solve -10*b**3 - 4*b**4 - 18*b**2 + 2*b**4 - 14*b - s + 2 = 0.
-2, -1
Let l(q) be the first derivative of -q**4/24 - 5*q**3/9 - 9*q**2/4 - 3*q + 210. Factor l(n).
-(n + 1)*(n + 3)*(n + 6)/6
Let r = 18 + -16. Suppose -1 = r*p - 5. Factor -2*o**2 - 3*o**3 + 3*o**3 + p*o**3 + 2*o**4 + o - 3*o.
2*o*(o - 1)*(o + 1)**2
Suppose 96*l - 99*l + 5520 = 227*l. Find z, given that -16*z**3 - l*z + 32/5 + 156/5*z**2 + 12/5*z**4 = 0.
2/3, 1, 4
Let l(w) be the third derivative of w**6/1020 - w**5/255 - 7*w**4/204 - 4*w**3/51 + 69*w**2 - 2*w. Factor l(g).
2*(g - 4)*(g + 1)**2/17
Suppose -3*x - 2 + 35 = 0. Suppose g + 13 - x = 0. Let b(u) = u**3 - u**2 - u. Let n(s) = -5*s**3 + 5*s**2 + 7*s. Let o(m) = g*n(m) - 14*b(m). Factor o(j).
-4*j**2*(j - 1)
Factor -10/7*f + 12/7 - 26/7*f**2 - 4/7*f**3.
-2*(f + 1)*(f + 6)*(2*f - 1)/7
Let w(h) be the first derivative of h**4/10 - 14*h**3/15 - 45. Factor w(x).
2*x**2*(x - 7)/5
Let t(q) be the first derivative of -q**9/6048 - q**8/1680 - q**7/1680 + 4*q**3 + 18. Let m(g) be the third derivative of t(g). Factor m(v).
-v**3*(v + 1)**2/2
Let p(j) be the second derivative of -j**5/3 - 3*j**4 - 14*j**3/9 + 10*j**2 - 3*j - 22. Factor p(a).
-4*(a + 1)*(a + 5)*(5*a - 3)/3
Suppose -44*f + 15*f = 16*f - 90. Solve -u - 1/5*u**f + 6/5 = 0 for u.
-6, 1
Suppose -2*a = -0 - 12. Let c = a - 1. Factor -19*f + 2*f**c - 8*f**2 + 8*f**4 + 15*f + 2*f**5.
4*f*(f - 1)*(f + 1)**3
Let k be 6/(-10)*(-12 + -3). Let s(g) be the third derivative of 0*g + 0 + 0*g**3 + 1/16*g**4 + 1/120*g**5 - k*g**2. Find o such that s(o) = 0.
-3, 0
Suppose -52/9*f**3 + 34/9*f**2 + 152/9*f + 8 - 2/3*f**4 = 0. What is f?
-9, -1, -2/3, 2
Suppose 117*p - 5 = 4*a + 112*p, -3*a = -2*p - 5. Factor -7/10*k**a + 1/5*k**3 + 0*k**2 + 0 + 0*k - 1/2*k**4.
-k**3*(k + 1)*(7*k - 2)/10
Let x(s) be the second derivative of 0*s**2 + 0 - 5*s - 1/24*s**4 - 1/3*s**3. Factor x(k).
-k*(k + 4)/2
Let l(g) be the first derivative of g**4/3 - 2*g**3 + 4*g**2 - 2*g + 12. Let j(a) be the first derivative of l(a). Factor j(t).
4*(t - 2)*(t - 1)
Let h(y) be the second derivative of y**5/60 + y**4/12 - 2*y**2/3 + 6*y - 10. Factor h(t).
(t - 1)*(t + 2)**2/3
Suppose 5*g = 4*a + 133, -4*g + 4*a + 113 = 3*a. Solve -51*i**4 - 373 - 44*i + 32*i**5 + 8*i**3 + 68*i**2 - g*i**4 + 381 = 0.
-1, 1/2, 2
Let f(d) be the second derivative of -d**4 - 3/2*d**3 + 3/2*d**2 - 17*d + 0. Let f(n) = 0. What is n?
-1, 1/4
Let v be (1 + 4)/(13 + -4 + -8). Let w(y) be the second derivative of -1/15*y**3 + 1/60*y**4 + 0*y**2 + 0 + v*y. Determine i so that w(i) = 0.
0, 2
Factor -3*k**2 + 412*k - 580*k - k**2.
-4*k*(k + 42)
Let g(h) be the first derivative of -2*h**3 - 4*h**2 - 5*h + 17. Let m(l) = 7*l**2 + 9*l + 6. Let d(y) = 6*g(y) + 5*m(y). Suppose d(p) = 0. Calculate p.
-3, 0
Let m(s) be the second derivative of 14/3*s**3 + 0 - 42*s + s**5 + 12*s**2 - 6*s**4. Solve m(c) = 0.
-2/5, 1, 3
Let u(b) be the third derivative of 1/5*b**5 + 1/8*b**4 + 0 + 16*b**2 + 0*b + 0*b**3. Suppose u(p) = 0. What is p?
-1/4, 0
Let f = -126 + 128. Let r be (-6)/(-8) - 1/(12/(-27)). Factor -1/2*c**f - 5/2 - r*c.
-(c + 1)*(c + 5)/2
Let t(a) be the first derivative of 2*a**3/27 + 10*a**2/9 + 50*a/9 + 85. Determine y, given that t(y) = 0.
-5
Let i(p) be the second derivative of p**4/30 - 8*p**3/45 + 4*p**2/15 - 44*p. Determine h, given that i(h) = 0.
2/3, 2
Let t = -2196 - -15374/7. Determine s so that 2/7*s - t*s**2 + 4/7 = 0.
-1, 2
Suppose -50 - 28 = -13*c. Let k(r) = -11*r**3 - 21*r**2 + 11*r + 21. Let z(s) = -s**3 - s**2 + s + 1. Let m(g) = c*z(g) - k(g). Factor m(x).
5*(x - 1)*(x + 1)*(x + 3)
Let n be 48/(-36)*1/(-2) - (-16)/(-240). Suppose 0*b + 3/5*b**2 + 0 - n*b**3 = 0. What is b?
0, 1
Let d be 232/1320 - 3/(-33). Factor -2/15*x + 4/15*x**2 - d + 2/15*x**3.
2*(x - 1)*(x + 1)*(x + 2)/15
Suppose 2*g = -5*g + 21. Let a(o) be the first derivative of -g - 5*o**4 + 4*o**2 + 0*o**2 - 5*o**3 + 9*o**3. Suppose a(b) = 0. Calculate b.
-2/5, 0, 1
Let y(x) be the second derivative of -x**6/60 - 31*x**5/40 + x**4/24 + 31*x**3/12 + 52*x. Factor y(k).
-k*(k - 1)*(k + 1)*(k + 31)/2
Let y(u) be the second derivative of -u**6/960 + u**3/3 - 11*u. Let n(q) be the second derivative of y(q). Find z such that n(z) = 0.
0
Let a(q) be the third derivative of q**6/24 - q**5/6 - 5*q**4/6 + 20*q**3/3 + 6*q**2 - 5*q. Factor a(u).
5*(u - 2)**2*(u + 2)
Let k(c) be the second derivative of c**7/1080 - c**6/72 + c**5/45 + 5*c**4/3 + c. Let v(n) be the third derivative of k(n). Solve v(a) = 0 for a.
2/7, 4
Let m(q) be the first derivative of -q**8/336 + q**7/56 - q**6/36 + 11*q**3/3 - 35. Let n(c) be the third derivative of m(c). Determine h, given that n(h) = 0.
0, 1, 2
Let c be 0 + (-9)/(-2) - 11/22. Factor c*i**2 - 10*i**4 + i**3 + 3*i**3 + 2*i**4.
-4*i**2*(i - 1)*(2*i + 1)
Let u(o) be the first derivative of o**5/510 + 5*o**4/204 + 17*o**2/2 - 1. Let l(y) be the second derivative of u(y). What is z in l(z) = 0?
-5, 0
Let v(f) be the second derivative of -121*f**6/6 - 341*f**5/4 + 325*f**4/12 - 5*f**3/2 - 26*f + 1. Find g such that v(g) = 0.
-3, 0, 1/11
Let m(s) be the third derivative of -s**5/510 - s**4/102 - s**3/51 + 160*s**2. Factor m(d).
-2*(d + 1)**2/17
Let t(x) be the first derivative of 4*x**3/3 + 92*x**2 + 2116*x + 30. What is w in t(w) = 0?
-23
Let q = -57 - -60. Suppose -q*v = 3 - 12. Suppose 3/2*i + 3*i**4 - 3/2 - 15/2*i**v + 9/2*i**2 = 0. Calculate i.
-1/2, 1
Let n = 9 + -6. Suppose 0 = 2*d - n - 3. Factor -d*i**2 - 3*i - 3*i - 3*i.
-3*i*(i + 3)
Let z(l) = 19*l**4 - 16*l**3 - 9*l**2 - 6*l - 8. Let s(v) = 7*v**4 - 6*v**3 - 3*v**2 - 2*v - 3. Let g(k) = -8*s(k) + 3*z(k). Factor g(r).
r*(r - 2)*(r + 1)**2
Let j be (-2824)/(-20) + 20/5. Let y = 146 - j. Determine i, given that -47/5*i**2 + 23*i**4 + 15*i**5 + y + 0*i - 3/5*i**3 = 0.
-1, -1/3, 2/5
Let i(s) be the second derivative of -s**7/98 - 11*s**6/70 - 3*s**5/20 + 31*s**4/28 + 4*s**3/7 - 30*s**2/7 + 2*s + 53. Suppose i(u) = 0. Calculate u.
-10, -2, -1, 1
Let n = -29 + 27. Let h be (10 - 7)/((-2)/n). Solve -16 + 6*g**3 - 4*g**2 - 3*g - 8*g**3 + 35*g + 20*g**4 - 4*g**5 - 26*g**h = 0.
-1, 1, 2
Let y(m) be the third derivative of -m**8/504 - 11*m**7/315 - 3*m**6/20 - 5*m**5/18 - 2*m**4/9 + 463*m**2. Let y(a) = 0. Calculate a.
-8, -1, 0
Suppose k = 8*k + 413. Let w = k - -92. Suppose -2*p**3 - w*p + 8*p**2 - 22*p**2 + 3*p - 18 = 0. What is p?
-3, -1
Suppose 6*r = -29 + 29. Let v be 1/(((-30)/25)/(-6)) - r. Let -1/9*d**v + 0*d**4 + 0*d**2 + 0 + 2/9*d**3 - 1/9*d 