/8 + 5*h**3/3 - h**2 + 48. What is r in k(r) = 0?
-5, 2
Let o(x) be the first derivative of x**3/5 + 72*x**2/5 - 459*x/5 - 683. Factor o(v).
3*(v - 3)*(v + 51)/5
What is a in -98*a + 37*a + 572*a**2 - 389*a + 132 - 167*a**2 - 7 = 0?
5/9
Let d(g) be the third derivative of 0*g**3 + 0 + 3/16*g**4 + 1/40*g**5 - 4*g**2 + g. Factor d(h).
3*h*(h + 3)/2
Let g = 75 - 72. Find a such that -4 - 4*a**4 + 5*a**4 - 3*a**2 + 2*a**g + 4*a - 12*a = 0.
-2, -1, 2
Let c(t) be the first derivative of -t**5/60 + t**4/4 - 3*t**3/2 - 5*t**2/2 - 7. Let d(x) be the second derivative of c(x). What is y in d(y) = 0?
3
Suppose -2 = -2*n + 2. Let m be 28/(-8)*n/49*-6. Factor m*x**2 + 6/7*x**3 + 2/7*x**4 + 0 + 2/7*x.
2*x*(x + 1)**3/7
Let o(j) = j**4 + 7*j**3 + 3*j**2 - 15*j + 8. Let f(p) = 2*p**4 + 6*p**3 + 3*p**2 - 16*p + 9. Let m(i) = -5*f(i) + 6*o(i). What is l in m(l) = 0?
-1, 1/2, 3
Let w(b) be the third derivative of b**7/945 + b**6/270 - b**5/270 - b**4/54 - 3*b**2 - 25. Factor w(f).
2*f*(f - 1)*(f + 1)*(f + 2)/9
Suppose -7*m - 269 + 45 = 0. Let o = m + 37. Determine u, given that 0 + 1/3*u**o + 5/6*u**4 + 0*u + 2/3*u**3 + 1/6*u**2 = 0.
-1, -1/2, 0
Let d = 1234 - 3698/3. Factor 2/3*m + 2/3*m**2 - d.
2*(m - 1)*(m + 2)/3
Let y(f) be the first derivative of -f**6/24 + 7*f**4/16 - f**3/6 - 3*f**2/2 + 2*f - 154. Solve y(r) = 0.
-2, 1, 2
Let c(f) be the first derivative of 4/9*f - 1/3*f**2 - 1 + 2/27*f**3. Factor c(a).
2*(a - 2)*(a - 1)/9
Let k(a) be the second derivative of -a**7/525 - 3*a**6/125 - 12*a**5/125 - 8*a**4/75 + 34*a + 3. Let k(g) = 0. What is g?
-4, -1, 0
Let p(v) be the second derivative of -3*v**5/80 - 7*v**4/16 - 3*v**3/4 + 213*v. Solve p(y) = 0.
-6, -1, 0
Let g(q) be the first derivative of q**5/15 + q**4/6 - 4*q**3/3 + q**2 + 6. Let x(m) be the second derivative of g(m). Determine f, given that x(f) = 0.
-2, 1
Let i be 2/(20*(-5)/9430). Let o = i - -189. Factor 0 + o*z**2 + 8/5*z**3 + 4/5*z**5 + 2*z**4 + 0*z.
2*z**2*(z + 1)**2*(2*z + 1)/5
Let z(m) be the first derivative of -7/10*m**4 + 30 - 9/5*m**2 + 0*m + 2*m**3 + 2/25*m**5. Find t, given that z(t) = 0.
0, 1, 3
Factor 0*i + 0 + 15/4*i**4 + 3/4*i**2 + 27/8*i**3.
3*i**2*(2*i + 1)*(5*i + 2)/8
Let q be (34/(-14))/(7 - 8) + -2. Let n(u) be the first derivative of 4 - q*u + 1/21*u**3 - 1/7*u**2. What is m in n(m) = 0?
-1, 3
Let o be 36/(4 + 0)*1. Let c = o - 5. Factor -4*g - 5*g + c - 7*g**2 - 3*g.
-(g + 2)*(7*g - 2)
Let u(l) be the third derivative of 49/15*l**5 + 0 - 28/3*l**4 - 6*l**2 + 0*l + 32/3*l**3. Factor u(n).
4*(7*n - 4)**2
Let g be 6/(-9)*45/(-6). Suppose -4*q - n = -g, 2*q - 14 = -2*q + 2*n. What is d in d**5 - d**5 + d**q + 0*d**4 - d**3 + d**5 - d**4 = 0?
-1, 0, 1
Let x(f) be the first derivative of 2*f**5/95 + f**4/19 - 8*f**3/57 - 8*f**2/19 + 27. Factor x(d).
2*d*(d - 2)*(d + 2)**2/19
Let w(b) be the third derivative of -b**7/11340 + b**6/810 - b**5/135 + b**4/12 - 8*b**2. Let y(v) be the second derivative of w(v). Factor y(z).
-2*(z - 2)**2/9
Let i = -15 - -18. Find r such that 84*r + 166*r**2 + 12 - 147*r**4 - 64*r**3 - 20*r**i - 31*r**2 = 0.
-1, -2/7, 1
Let h = 243 - 239. Suppose -5*c + 12 = h*r, -4*c + 3*r + 14 = -8. Suppose 0 - 8/5*o**2 + 8/5*o**3 + 0*o - 2/5*o**c = 0. What is o?
0, 2
Let w(u) be the second derivative of 1/42*u**7 + 0*u**3 + 1/15*u**6 + 0*u**2 + 0*u**4 - 2*u + 0*u**5 + 0. Factor w(b).
b**4*(b + 2)
Solve 8*h**2 - 2352*h**3 + 2352*h**3 - 2*h**5 - 2*h**4 - 4*h**4 = 0.
-2, 0, 1
Let m = -17216 - -17219. Let g be (-2)/1 - (-7 - -1). Find w, given that -7*w**m - 9/2 + 7/2*w**g + w**2 + 15/2*w - 1/2*w**5 = 0.
-1, 1, 3
Let g(i) be the third derivative of -2*i + 0*i**4 + 1/1995*i**7 + 0 + 1/228*i**6 + 0*i**3 + 4*i**2 + 2/285*i**5. Solve g(o) = 0.
-4, -1, 0
Let t(u) be the first derivative of -2*u**6/15 - 236*u**5/25 - 951*u**4/5 - 9172*u**3/15 + 1904*u**2/5 + 9408*u/5 - 636. Find q such that t(q) = 0.
-28, -3, -1, 1
Suppose -16 = -w + 2*c, 3*w + 16*c + 6 = 13*c. Solve 16/5 + 4*o - 4/5*o**w - 12/5*o**2 - 4*o**3 = 0 for o.
-4, -1, 1
Factor 5/2*q + 0 + 1/4*q**3 + 11/4*q**2.
q*(q + 1)*(q + 10)/4
Suppose 13*p - 4 - 74 = 0. Let d(q) be the second derivative of -1/30*q**5 - 1/36*q**3 + p*q + 0 - 1/18*q**4 + 0*q**2. Factor d(l).
-l*(2*l + 1)**2/6
Let w = -183 - -190. Let d be w/((-42)/60*-5). What is r in -2*r + 8/3 - 2/3*r**d = 0?
-4, 1
Let q be ((-4)/(-4) + 2)*4/(-6). Let j be (2 + -8)/(q + (-125)/20). Suppose -2/11*a**3 - j*a + 8/11*a**2 + 0 = 0. What is a?
0, 2
Determine y so that 8/7 - 76/7*y**2 - 76/7*y**4 - 16/7*y**5 - 124/7*y**3 - 4/7*y = 0.
-2, -1, 1/4
Let r(a) be the second derivative of -a**7/357 + 13*a**6/255 - 3*a**5/10 + 67*a**4/102 - 28*a**3/51 - 114*a - 1. What is k in r(k) = 0?
0, 1, 4, 7
Let n(g) be the first derivative of -g**6/8 - 3*g**5/5 - 3*g**4/8 + g**3 + 9*g**2/8 - 146. Solve n(j) = 0.
-3, -1, 0, 1
Let z(l) = l**3 - 2*l**2 - 1. Let n(v) = -5*v**3 - 10*v**2 - 96*v - 124. Let a(p) = -n(p) - 4*z(p). Factor a(i).
(i + 2)*(i + 8)**2
Let d(z) = -2*z + 15. Let h be d(5). Suppose h*p = 9*p - 12. Suppose 4*u**p - 12*u + 3*u**4 + 24*u**2 - 4*u**3 - 15*u**3 = 0. What is u?
0, 1, 2
Suppose -22/13*k - 2/13*k**2 - 36/13 = 0. What is k?
-9, -2
Let y = -445 - -445. Let p(v) be the third derivative of 1/24*v**4 + v**2 - 1/120*v**5 + 0*v**3 + y*v + 0. Find w, given that p(w) = 0.
0, 2
Let d(c) = c**3 + c**2 - 2*c - 3. Let k be d(-2). Let b(w) = w**2 + 3*w + 2. Let l be b(k). Solve -1/3*q**l + 0*q + 0 = 0.
0
Let j(d) be the first derivative of 1/2*d + 0*d**2 + 1/10*d**5 - 1/3*d**3 + 10 + 0*d**4. Find p such that j(p) = 0.
-1, 1
Let y(k) be the third derivative of k**6/30 - 4*k**5/15 - 5*k**4/6 - 131*k**2. Factor y(a).
4*a*(a - 5)*(a + 1)
Let q be ((-27)/330)/(18/(-29265) + 0). Let d = 535/4 - q. Find c such that -16/11*c + 10/11*c**2 - 2/11*c**3 + d = 0.
1, 2
Factor 26*t + 66/5*t**2 - 4/5.
2*(t + 2)*(33*t - 1)/5
Suppose 4*c + 0 = 3*v + 5, -v = c - 3. Let y be 4/((-2 + 1)*-1). Factor 5 + y*h**c - h**2 - 3*h**3 - 8 + 3*h.
-3*(h - 1)**2*(h + 1)
Let a(t) be the third derivative of -25*t**7/63 + 5*t**6/2 - 8*t**5/3 + 23*t**4/18 - t**3/3 - 12*t**2 + 18. Determine b, given that a(b) = 0.
1/5, 3
Factor 24 - 2 + 7 + 15*f**2 - 2 - 54*f + 9*f**2 - 3*f**4 + 6*f**3.
-3*(f - 3)*(f - 1)**2*(f + 3)
Let t be 24/(-9)*-1 - (-6)/(-9). Let -3*x**4 - 2*x**t + 1053 - 1047 + 15*x + 11*x**2 - 3*x**3 = 0. What is x?
-1, 2
Let j(n) = -13*n**2 - 95*n - 45. Let w(d) = -d**2 - 2*d + 4. Let t be w(2). Let x(s) = 14*s**2 + 95*s + 45. Let q(a) = t*j(a) - 3*x(a). Factor q(o).
5*(o + 9)*(2*o + 1)
Let l(c) = 4*c**3 + 20*c**2 + 48*c - 8. Let b = -40 + 60. Let w(p) = p - 1. Let g(a) = b*w(a) - l(a). Factor g(j).
-4*(j + 1)**2*(j + 3)
Let j(f) be the first derivative of -3*f**4/4 - 6*f**3 - 48. Let j(a) = 0. What is a?
-6, 0
Suppose 0 = 3*p + 4*s - 0 + 2, -5*s = 10. Suppose 2*l - 4 - p = 0. Let -20*b + 6*b**4 + 20*b - 3*b**l - 3*b**5 = 0. Calculate b.
0, 1
Let m(y) be the first derivative of 33*y**4/28 + 24*y**3/7 + 45*y**2/14 + 6*y/7 + 72. Find s, given that m(s) = 0.
-1, -2/11
Let d(k) = -75*k**4 + 35*k**3 - 30. Let b(s) = -2*s**4 - s**2 - 1. Let y(i) = 30*b(i) - d(i). Suppose y(r) = 0. Calculate r.
-2/3, 0, 3
Let u(c) be the first derivative of 2*c + 1/3*c**2 + 3 - 4/9*c**3 + 1/6*c**4. Let p(z) be the first derivative of u(z). Solve p(n) = 0.
1/3, 1
Let g = -472 - -477. Let -3/2*t**4 + 0*t + t**2 - 3/2*t**3 + 0 + t**g = 0. Calculate t.
-1, 0, 1/2, 2
Let b(g) be the third derivative of -1/60*g**5 - 2/9*g**3 - 1/12*g**4 - 1/720*g**6 + 0 - 23*g**2 + 0*g. Let b(y) = 0. Calculate y.
-2
Let k(f) be the second derivative of -3*f**5/20 - 53*f**4/12 - 13*f**3 + 16*f**2 - 31*f + 5. Factor k(u).
-(u + 2)*(u + 16)*(3*u - 1)
Suppose 0 + 3 = w. Suppose -r = -9*p + 13*p - 16, 4*p + 5*r = 0. Suppose 4/3*a**2 + 0*a - 4/3*a**p - 2/3*a**w - 10/3*a**4 + 0 = 0. What is a?
-2, -1, 0, 1/2
Let v(p) be the second derivative of p**5/16 + 5*p**4/16 + 5*p**3/12 - 3*p - 3. Factor v(l).
5*l*(l + 1)*(l + 2)/4
Suppose 0 = 2*l + 9 - 41. Suppose 11*q = 3*q + l. Suppose 2/3*p**q - 2/3 + 0*p = 0. Calculate p.
-1, 1
Let v be (56/49)/(57/(-21) + 3). Let c(w) be the first derivative of -7 - 1/9*w**3 + 0*w + 0*w**2 + 1/18*w**6 - 1/5*w**5 + 1/4*w**v. Let c(b) = 0. Calculate b.
0, 1
Let q = 6 + -3. Suppose 5*o + 0 = q*r - 19, 3*r - 2*o = 13. Factor v +