1/10*v**5. Find n such that g(n) = 0.
1, 2
Let q(h) = h**3 + 1. Let f(w) = -w**3 - 25*w**2 - 65*w - 41. Let r(y) = -f(y) - 6*q(y). Factor r(g).
-5*(g - 7)*(g + 1)**2
Let r = -91/17 + 199/34. Suppose 0 - r*u**2 + 1/2*u**4 + 1/2*u**3 - 1/2*u = 0. Calculate u.
-1, 0, 1
Let s(h) be the second derivative of 0*h**3 - 7*h + 0 - 1/6*h**4 + 0*h**2. What is f in s(f) = 0?
0
Let o be -2 + 2/6 + (-49)/21. Let i be o - (-2 + 30/(-13)). Factor 0 + 2/13*l**2 - i*l.
2*l*(l - 2)/13
Let j(a) be the first derivative of 1/18*a**4 - 4/27*a**3 + 0*a**2 + 0*a - 10. Let j(u) = 0. Calculate u.
0, 2
Let m be ((28/10)/(-14))/(57/(-30)). What is x in m*x**2 + 8/19*x + 6/19 = 0?
-3, -1
Let w(i) be the first derivative of -9/16*i**4 + 27/20*i**5 + 10 - 1/2*i**6 + 9/8*i**2 - 5/4*i**3 + 0*i. What is n in w(n) = 0?
-3/4, 0, 1
Let q(h) = -36*h**3 - 1959*h**2 - 26669*h - 5825. Let b(d) = -36*d**3 - 1958*d**2 - 26670*d - 5826. Let z(k) = -7*b(k) + 6*q(k). What is l in z(l) = 0?
-27, -2/9
Let o(n) be the third derivative of -n**7/140 - 31*n**6/120 - 151*n**5/120 - 8*n**4/3 - 3*n**3 + 291*n**2. Suppose o(c) = 0. Calculate c.
-18, -1, -2/3
Let y(t) be the third derivative of -t**7/6300 - t**6/360 - t**5/75 + 23*t**4/24 - 18*t**2. Let f(s) be the second derivative of y(s). Factor f(r).
-2*(r + 1)*(r + 4)/5
Let z(h) be the third derivative of 13*h**2 + 0*h - 7/30*h**6 + 2/15*h**5 - 16/3*h**3 + 0 + 14/3*h**4. Determine a, given that z(a) = 0.
-2, 2/7, 2
Suppose 156 + 44 = 175*w - 150. Factor 0 + 0*t**w + 0*t + 3/5*t**3 - 9/5*t**4.
-3*t**3*(3*t - 1)/5
Factor -23/2*r**3 + 3*r**4 + 0 + 15*r**2 - 25/4*r - 1/4*r**5.
-r*(r - 5)**2*(r - 1)**2/4
Let m(n) be the first derivative of 5/8*n**2 + 30 + n + 1/12*n**3. Find v, given that m(v) = 0.
-4, -1
Factor -9 - 20 - 10 + 27*f - 10*f**3 + 12 + 3*f**2 + 7*f**3.
-3*(f - 3)*(f - 1)*(f + 3)
Let m(l) be the third derivative of -13*l**7/105 + 5*l**6/6 - 22*l**5/15 - 2*l**4/3 + 24*l**2. Solve m(z) = 0.
-2/13, 0, 2
Factor 162*x**3 - 311*x**3 - x**4 + 24 + 68*x**2 + 68*x + 177*x**3 + 5*x**4.
4*(x + 1)**2*(x + 2)*(x + 3)
Let u be (68/(-8) + 11)*(-4)/(-20). Factor -o - 1/2 - u*o**2.
-(o + 1)**2/2
Suppose 0 = -2*w + 6*x - 26, 3*w - x - 4 + 3 = 0. Factor 0 - 3/5*y**w + 12/5*y.
-3*y*(y - 4)/5
Let y(g) = -g**2 + 9*g + 5. Let r(n) = 1 + 1 + 4*n + 0 + 0. Let c(i) = -5*r(i) + 2*y(i). What is o in c(o) = 0?
-1, 0
Let r(g) be the second derivative of -g**6/90 + g**5/60 + g**4/18 + 2*g + 15. Factor r(t).
-t**2*(t - 2)*(t + 1)/3
Let t(r) = 10*r**2 + r - 6. Let z be t(-3). Let j be 36/z - 42/(-27). Let -8/9*u**3 + 0*u**4 + 4/9 + 2/9*u**5 - 4/9*u**j + 2/3*u = 0. What is u?
-1, 1, 2
Factor -50*q**3 + 1021*q - 184*q**2 - 5*q**4 + 339*q + 4940*q - 79380 + 1504*q**2 - 185*q**2.
-5*(q - 9)**2*(q + 14)**2
Let n(i) be the second derivative of i**4/42 + 10*i**3/21 + 16*i**2/7 + 3*i - 94. Let n(v) = 0. What is v?
-8, -2
Let h(s) = 4*s**2 - 1. Let l be h(-1). Let p(f) = 3*f**2 + 2*f - 1. Let r(v) = -2*v**2 - 2*v. Let x(t) = l*p(t) + 2*r(t). Factor x(z).
(z + 1)*(5*z - 3)
Let s = -4728/13 + 364. Factor -s*y - 2/13 - 2/13*y**2.
-2*(y + 1)**2/13
Let n(t) be the third derivative of -t**9/1008 - t**8/140 - 3*t**7/280 + 2*t**3/3 + 17*t**2. Let l(s) be the first derivative of n(s). Solve l(w) = 0.
-3, -1, 0
Let h(r) be the third derivative of -r**5/140 - r**4/7 - r**3/2 + 38*r**2 + 2. Solve h(a) = 0 for a.
-7, -1
Let k(c) = -12*c**2 + 214*c + 38. Let r be k(18). Determine o so that 0*o**3 + 48/13*o**r - 2/13*o**4 - 128/13*o + 96/13 = 0.
-6, 2
Let v = -2580 - -2583. Solve -250/3 + 50*x - 10*x**2 + 2/3*x**v = 0.
5
Let b(s) = 2*s**2 - 15*s - 38. Let h be b(13). Let c be 20/h*(-2)/4*-7. What is a in 2/3*a - 1/6*a**2 - c = 0?
2
Let x = 1016 + -1013. Let u(z) be the third derivative of 0*z + 0*z**x - 1/48*z**4 + 9*z**2 + 1/240*z**6 + 0*z**5 + 0. Find c, given that u(c) = 0.
-1, 0, 1
Let y(w) = -10*w**4 - 10*w**3 - 5. Let p(n) = -2*n - 1. Let a be p(0). Let d(i) = -i**4 - i**3 - 1. Let l(g) = a*y(g) + 5*d(g). Find b, given that l(b) = 0.
-1, 0
Factor -16/5*f**4 + 46/5*f + 48/5*f**3 + 2/5*f**5 - 12/5 - 68/5*f**2.
2*(f - 3)*(f - 2)*(f - 1)**3/5
Suppose -32*r + 33*r = 6. Factor 10*a**3 - 9*a + a - 21 - 5*a**4 + r - 2*a + 20*a**2.
-5*(a - 3)*(a - 1)*(a + 1)**2
Let i(m) be the third derivative of -9*m**2 - 2/3*m**4 + 0*m + 0 - 1/90*m**6 + 2/15*m**5 + 1/6*m**3. Let z(a) be the first derivative of i(a). Factor z(b).
-4*(b - 2)**2
Let h = -6452/3 + 2156. Factor -10/3*y**3 - 2/3*y**4 - 8/3*y - h*y**2 + 0.
-2*y*(y + 1)*(y + 2)**2/3
Let d(q) = q**2. Let u(w) = 4*w**3 + 28*w**2 + 44*w + 24. Let z(s) = -4*d(s) + u(s). Solve z(y) = 0 for y.
-3, -2, -1
Let b(m) = 3*m**2 + 106*m + 3247. Let i(s) = -s**2 + 4*s + 1. Let p(y) = -3*b(y) - 6*i(y). What is k in p(k) = 0?
-57
Let f = 5 + -1. Factor q - 6*q**2 + 7*q + 2*q**2 + 0*q**3 + 4*q**f - 8*q**3.
4*q*(q - 2)*(q - 1)*(q + 1)
Let z(w) be the second derivative of -w**5/20 + 5*w**4/12 - 7*w**3/6 + 3*w**2/2 - 18*w + 1. Factor z(q).
-(q - 3)*(q - 1)**2
Let j(x) = 110*x**2 - 185*x + 65. Let o(a) = -a**2 + a - 1. Let i be (-13 - -15) + 1*-1. Let t(d) = i*j(d) - 15*o(d). Find u, given that t(u) = 0.
4/5
Let i(y) be the second derivative of -125*y**7/14 - 35*y**6 + 6*y**5 + 92*y**4 - 104*y**3 + 48*y**2 - 7*y + 3. Factor i(r).
-3*(r + 2)**2*(5*r - 2)**3
Suppose -m = 5*d + 27, 3*m + 4*d + 61 = -d. Let q = m - -19. Solve -q*b**3 + 0*b**2 + b**2 - b**4 + b**5 + b**3 + 0*b**3 = 0 for b.
-1, 0, 1
Let a(h) be the first derivative of h**4/14 + 8*h**3/21 + h**2/7 - 12*h/7 + 43. Solve a(w) = 0.
-3, -2, 1
Let i(w) be the first derivative of 31/4*w**2 + 5/2*w + 9/8*w**4 + 17/2*w**3 + 31. Find l such that i(l) = 0.
-5, -1/3
Let n be ((84/64)/7)/(3*(-4)/(-144)). Determine b, given that n*b**4 + 0*b + 3/2*b**3 + 0*b**2 + 3/4*b**5 + 0 = 0.
-2, -1, 0
Let w(z) be the first derivative of z**7/42 - z**6/10 + z**5/10 + z**4/6 - z**3/2 + z**2/2 - 15*z + 8. Let m(p) be the first derivative of w(p). Factor m(r).
(r - 1)**4*(r + 1)
Let b(c) be the third derivative of c**6/780 - c**5/15 + 75*c**4/52 - 216*c**3/13 - 592*c**2. Solve b(a) = 0 for a.
8, 9
Let r(p) be the second derivative of p**7/42 + 8*p**6/5 + 141*p**5/4 + 1579*p**4/6 + 938*p**3 + 1764*p**2 + 2*p - 42. Factor r(f).
(f + 2)**3*(f + 21)**2
Determine t, given that 6*t**4 - 21*t - 4*t**2 + 348514 - 14*t**2 + 21*t**3 - 348502 = 0.
-4, -1, 1/2, 1
Factor -2/11*z**3 - 16/11*z**2 - 42/11*z - 36/11.
-2*(z + 2)*(z + 3)**2/11
Let b(s) be the first derivative of s**8/16 - s**7/35 - 5*s**2 - 30. Let g(h) be the second derivative of b(h). Solve g(v) = 0.
0, 2/7
Let g(v) be the third derivative of -v**6/150 - 14*v**5/25 - 66*v**4/5 + 1936*v**3/15 + 93*v**2 - v. Factor g(f).
-4*(f - 2)*(f + 22)**2/5
Suppose 211*z = 223*z - 12. Factor -z - 1/2*k**2 + 3/2*k.
-(k - 2)*(k - 1)/2
Factor 7*n + 9*n**2 + 11*n**2 - 120 + 39*n - 22*n**2.
-2*(n - 20)*(n - 3)
Let w be (12/(-10))/(6/(-15)). Let h = 8235 - 8233. Let -2*b - 1/3*b**h - w = 0. What is b?
-3
Let c(l) be the second derivative of l**3/6 - l**2/2 - 18*l. Let i = 9 + -6. Let j(d) = 9*d**3 + 6*d**2 - 3. Let p(u) = i*c(u) - j(u). What is b in p(b) = 0?
-1, 0, 1/3
Let l(z) = -3*z**2 - 127*z + 128. Let q(k) = -3*k**2 - 126*k + 126. Let o(t) = 3*l(t) - 2*q(t). Find s, given that o(s) = 0.
-44, 1
Let k(n) be the second derivative of 0*n**2 + 0 + 1/5*n**5 - 2/3*n**4 - 19*n - 2*n**3. Factor k(v).
4*v*(v - 3)*(v + 1)
Let y(o) be the second derivative of -o**3 + 0 + o**2 - 1/3*o**4 - 2*o + 3/5*o**5 + 1/15*o**6 - 1/7*o**7. Determine q so that y(q) = 0.
-1, 1/3, 1
Let n(a) be the third derivative of -26*a**2 + 7/15*a**5 + 0*a + 1/60*a**6 + 0 + 24*a**3 + 5*a**4. What is c in n(c) = 0?
-6, -2
Let g(a) be the first derivative of 125/2*a**2 + 520/3*a**3 + 4 + 10*a + 125/6*a**6 + 110*a**5 + 415/2*a**4. Solve g(n) = 0.
-2, -1, -1/5
Let k(j) be the first derivative of -j**6/2 - 27*j**5/5 - 387*j**4/16 - 115*j**3/2 - 153*j**2/2 - 54*j - 58. Factor k(m).
-3*(m + 2)**3*(2*m + 3)**2/4
Let t(y) be the second derivative of -1/90*y**5 - 49*y + 125/9*y**2 - 25/9*y**3 + 0 + 5/18*y**4. Find f, given that t(f) = 0.
5
Factor -69*h**3 - h**5 - 3*h**4 - 2*h**2 + 64*h**3 - h**4.
-h**2*(h + 1)**2*(h + 2)
Suppose 58*g = 56*g. Let y(t) be the third derivative of -1/180*t**6 + 0 + 0*t**3 + 0*t**5 + g*t - 2*t**2 + 1/36*t**4. Let y(x) = 