6*g - 176. Let h(y) = y**2 - y - 6. Let t(r) = 2*h(r) + k(r). Let t(m) = 0. Calculate m.
-2/5, 1, 47
Let k(c) be the second derivative of -c**5/70 - 11*c**4/7 + 45*c**3/7 - 68*c**2/7 + 49*c. Let k(o) = 0. Calculate o.
-68, 1
Let g(l) = l**2 - l. Let a be (2/3)/((-6)/(-9)). Let k(i) = -5*i**4 - 5*i**3 - 5*i**2 + 25*i - 10. Let w(s) = a*k(s) + 20*g(s). Let w(o) = 0. What is o?
-2, -1, 1
Let v(w) be the third derivative of 1/336*w**8 + 0*w**5 + 0*w**7 + 0*w**3 + 0*w**4 + 0 - w**2 + 0*w + 0*w**6. Factor v(f).
f**5
Let n(v) be the third derivative of -v**5/120 + v**4/24 + 2*v**3/3 + 104*v**2. Factor n(o).
-(o - 4)*(o + 2)/2
Let r(z) be the third derivative of -z**5/100 - 29*z**4/40 - 39*z**3/5 - 57*z**2 - 3. Factor r(i).
-3*(i + 3)*(i + 26)/5
Let k = -4/27 - -82/189. Let f be 9/14 + 18/(-36). Solve 0 + k*z + 3/7*z**4 - 3/7*z**2 - f*z**5 - 1/7*z**3 = 0 for z.
-1, 0, 1, 2
Let r be (-1)/(-3) - (-25)/15. Let -r + 5 - 2*w - w**5 - 9*w**3 - 5*w**4 - 7*w**2 - 3 = 0. What is w?
-2, -1, 0
Find m such that 114/5*m**2 - 15*m**3 - 84/5*m - 3/5*m**5 + 24/5 + 24/5*m**4 = 0.
1, 2
Let n(d) be the third derivative of d**9/37800 - d**7/3150 + d**5/300 + 19*d**4/24 + 3*d**2. Let i(b) be the second derivative of n(b). Factor i(v).
2*(v - 1)**2*(v + 1)**2/5
Factor 5/4*i**5 - 175*i**2 + 0 + 25/2*i**4 - 15/4*i**3 + 245*i.
5*i*(i - 2)**2*(i + 7)**2/4
Let v(d) be the second derivative of d**4/3 + 20*d**3/3 - 22*d**2 + 273*d + 2. Let v(m) = 0. What is m?
-11, 1
Let w = 62263/21 + -2966. Let q = w - -5/3. Solve 4/7*p - 1/7*p**2 - q = 0.
2
Let n(t) = t**2 - 5*t**2 - 3*t - 4*t**3 + 5*t**3 + 6*t**2. Let b be n(-3). Factor -3/2*f**2 + 3/2*f**3 - 3/2*f + 3/2*f**4 + b.
3*f*(f - 1)*(f + 1)**2/2
Let y = -3112/171 + 350/19. Factor 0 + y*b**2 - 2/9*b**3 + 0*b.
-2*b**2*(b - 1)/9
Let z = 15 - 10. Suppose 8 = 2*l, 4*l = -5*w + 16 + 20. Suppose -3*y**2 - z*y + w*y + 4*y = 0. What is y?
0, 1
Suppose 219*u**3 - 40522*u**5 - 32*u**4 + 12*u**2 + 40506*u**5 - 144*u - 79*u**3 = 0. What is u?
-4, -1, 0, 3/2
Let y(q) be the first derivative of -1/11*q**2 + 7*q + 1/66*q**4 + 0*q**3 - 4. Let j(x) be the first derivative of y(x). Factor j(g).
2*(g - 1)*(g + 1)/11
Solve -1/2*z**5 + 7/2*z**2 + 0 + 5/2*z**4 + 0*z + 13/2*z**3 = 0.
-1, 0, 7
Let f(n) be the second derivative of -n**5/4 - 15*n**4/2 - 80*n**3 - 320*n**2 - 2*n + 6. Factor f(q).
-5*(q + 2)*(q + 8)**2
Let p(l) be the first derivative of 6*l**5/25 + l**4/2 + 2*l**3/15 - l**2/5 - 4. Factor p(i).
2*i*(i + 1)**2*(3*i - 1)/5
Suppose -54 - 16 = -34*i - 2. Factor -1/6*n**i - 1/6*n**3 + 1/3*n + 0.
-n*(n - 1)*(n + 2)/6
Let i(v) = 6*v**4 + 14*v**3 + 143*v**2 + 149*v + 82. Let z(o) = o**4 + 2*o**3 + 24*o**2 + 25*o + 14. Let h(a) = 6*i(a) - 34*z(a). Let h(f) = 0. Calculate f.
-4, -2, -1
Suppose 0 = -5*r - 5*m + 35, 0 = 3*r + 5*m - 0*m - 25. Let p(w) be the second derivative of 4*w**3 + 3*w + 0 + 19/6*w**4 - 4*w**2 - 6/5*w**r. Factor p(q).
-2*(q - 2)*(3*q + 2)*(4*q - 1)
Determine z, given that 1/4*z**4 + 0*z + 0*z**3 + 25/4 - 13/2*z**2 = 0.
-5, -1, 1, 5
Let x(k) be the first derivative of 0*k + 1/20*k**4 - 35 + 1/10*k**2 - 2/15*k**3. Factor x(a).
a*(a - 1)**2/5
Let f = 317 - 1573/5. Let s(y) be the first derivative of 3 - 19/5*y**2 + 14/15*y**3 - f*y. Find l, given that s(l) = 0.
-2/7, 3
Let d be (72/90)/((-72)/(-1110)). Suppose 8*r + 13/3*r**5 - d*r**3 - 4/3 + 19/3*r**2 - 5*r**4 = 0. What is r?
-1, 2/13, 1, 2
Let 77/2*c**2 + 0 + 5929/4*c + 1/4*c**3 = 0. What is c?
-77, 0
Solve -2/9*f**5 + 0*f + 578/9*f**2 + 0 + 70/9*f**4 - 646/9*f**3 = 0 for f.
0, 1, 17
Let p(g) be the first derivative of g**5/510 + 5*g**4/102 + 25*g**3/51 + 9*g**2/2 + 7. Let v(y) be the second derivative of p(y). Factor v(l).
2*(l + 5)**2/17
Suppose x + 3 + 1 = 0, -4*l + 116 = -2*x. Let h = 39 - l. Find k such that -k**5 - 8*k**2 + 3*k**5 + 2*k**5 - h*k**3 = 0.
-1, 0, 2
Let g(k) = -4*k**3 + 4*k**2 + 13*k - 10. Let m(u) = 12*u**3 - 12*u**2 - 38*u + 28. Let d(v) = -10*g(v) - 3*m(v). Factor d(r).
4*(r - 2)*(r - 1)*(r + 2)
Let g be -1 + -3 - (-711)/(-9). Let i = 83 + g. Factor i - 1/5*b**2 - 1/5*b.
-b*(b + 1)/5
Let n(m) be the third derivative of 2/105*m**7 - 1/15*m**5 + 0*m**3 + 1/4*m**4 + 0 + 1/168*m**8 + 0*m - 12*m**2 - 1/15*m**6. Find w, given that n(w) = 0.
-3, -1, 0, 1
Let k be (1*((-3 - -1) + 2))/1. Let u(j) be the second derivative of 0*j**3 + 0*j**2 - 1/3*j**4 - 1/10*j**5 + 2*j + k. Factor u(g).
-2*g**2*(g + 2)
Suppose 9*l + 25*l - 105 = -l. Factor 1/6*v**5 - 1/6*v + 1/3*v**4 - 1/3*v**2 + 0 + 0*v**l.
v*(v - 1)*(v + 1)**3/6
Let a(j) be the third derivative of -1/228*j**6 - 12*j**2 + 0 + 0*j - 1/3192*j**8 + 0*j**3 + 1/285*j**5 + 4/1995*j**7 + 0*j**4. Factor a(t).
-2*t**2*(t - 2)*(t - 1)**2/19
Let c(d) be the third derivative of d**6/480 + 7*d**5/80 + 3*d**4/4 - 18*d**3 + 80*d**2. Factor c(g).
(g - 3)*(g + 12)**2/4
Determine f so that 5/6*f + 1/6*f**2 - 6 = 0.
-9, 4
Let a(b) = 2*b**2 - 6*b + 9. Let p be a(4). Factor -5 - 33*r + 8*r**2 + p*r + 4*r**3 - 27.
4*(r - 2)*(r + 2)**2
Let r(p) be the first derivative of p**4/18 + 38*p**3/27 + 80*p**2/9 - 200*p/9 + 136. Factor r(i).
2*(i - 1)*(i + 10)**2/9
Let x be (5 - (-5 + 13))*(0 - 1). Let q(k) be the third derivative of 0*k + 3/8*k**x + 0 + 4*k**2 + 1/240*k**5 - 1/16*k**4. Solve q(i) = 0.
3
Let l be (2 - 10713/(-27)) + (-2)/(-9). Let -12*n**4 - l*n + 9*n**3 + 399*n + 3*n**2 = 0. What is n?
-1/4, 0, 1
Let j(d) be the second derivative of d**6/720 - d**5/240 - d**4/24 - 25*d**3/6 + 2*d. Let q(l) be the second derivative of j(l). Factor q(k).
(k - 2)*(k + 1)/2
Let v(p) = -1. Suppose -5*b = 4*l, 0 = 3*b - 2*l - 2*l - 32. Let n(f) = 4*f**3 - 4*f**2 - 4*f. Let i(w) = b*v(w) - n(w). Let i(z) = 0. What is z?
-1, 1
Let a be 15/5 - (-56)/(-21). Let t = 2/13 - -1/78. Factor a + t*r**2 - 1/2*r.
(r - 2)*(r - 1)/6
Determine p so that 30 + 268/9*p - 2/9*p**2 = 0.
-1, 135
Let h be 1/3*(-1410)/40. Let d = h - -12. Factor 0 + d*v**3 + 0*v + 0*v**2.
v**3/4
Let r(n) be the second derivative of -n**6/10 - 171*n**5/10 - 3361*n**4/4 - 3192*n**3 - 4704*n**2 + 98*n + 3. Suppose r(p) = 0. What is p?
-56, -1
Let d(k) = k**3 - 13*k**2 - 31*k + 20. Let h be d(15). Solve -2*b**5 + 2*b + 36*b**3 - 3*b**h - 18*b - 7*b**5 - 8*b**4 = 0.
-2, -2/3, 0, 1
Let u(s) be the second derivative of 3*s**5/50 + 13*s**4/5 + 49*s**3/5 + 72*s**2/5 - 26*s. Find y such that u(y) = 0.
-24, -1
Let h(g) = -g**2 - 8*g - 40. Let u(d) = 9*d + 39. Let x(z) = -3*h(z) - 4*u(z). Solve x(y) = 0 for y.
-2, 6
Let c(s) = 5*s**3 + 6*s**2 + 67*s + 48. Let z(j) = 18*j**3 + 16*j**2 + 202*j + 144. Let f(a) = 10*c(a) - 3*z(a). Suppose f(o) = 0. What is o?
-2, -1, 6
Let u(j) = -j**2 + 53*j - 194. Let o be u(49). Determine v so that -10/3*v**4 + 14/3*v**2 + 2*v - 4/3 - o*v**3 = 0.
-1, 2/5, 1
Let s(z) be the second derivative of -z**4/12 - 2*z. Suppose 0 = 4*n + 191 - 195. Let v(w) = 9*w**2 - 8*w. Let q(x) = n*v(x) + 5*s(x). Factor q(d).
4*d*(d - 2)
Let f be 60/(-420)*(-21)/12. Determine q, given that -1/2*q**4 - f*q**5 + 0 + 0*q + 0*q**2 + 3/4*q**3 = 0.
-3, 0, 1
Let p = 241614/191 - 1265. Let t = 1151/955 + p. Factor -2/5*f**3 + 6/5*f**2 + 2/5 - t*f.
-2*(f - 1)**3/5
Let w(p) be the third derivative of -p**6/150 - 2*p**5/15 + 28*p**2 + 1. Suppose w(h) = 0. Calculate h.
-10, 0
Let u(s) = s**3 + 2*s**2 + 2. Suppose 5*j - 4*x - 10 = 0, 0 = -0*j - 2*j - x - 9. Let r be u(j). Find i, given that 2*i**2 - 5*i**2 + 8*i - 2 - r - i**2 = 0.
1
Let k = 32425/4 + -8106. Let 3/2*a**2 - k*a**3 - 9/4*a + 0 = 0. Calculate a.
0, 3
Let m(z) = -12*z**4 - 55*z**3 - 29*z**2 - 7. Let k(j) = 8*j**4 + 37*j**3 + 19*j**2 + 5. Let n(q) = 7*k(q) + 5*m(q). Factor n(h).
-4*h**2*(h + 1)*(h + 3)
Let y(b) be the second derivative of -33/4*b**4 + 0 - 6*b**5 - 5*b**3 + 17*b - 3/2*b**2 - 8/5*b**6. Find r, given that y(r) = 0.
-1, -1/4
Let b(l) = -l**2 + 24*l + 80. Let s be b(29). Let r = s - -68. Factor 0 + 4/3*x**r + 4/3*x**4 - 4/3*x - 4/3*x**2.
4*x*(x - 1)*(x + 1)**2/3
Let v be 47/82 - 3/18. Let d = v - 3/41. Factor 0 - 1/3*q**5 - d*q**3 + 0*q + 0*q**2 - 2/3*q**4.
-q**3*(q + 1)**2/3
Determine x so that 12562 + 3*x**2 - 12562 - 63*x + 0*x**2 = 0.
0, 21
Let d(q) = q**3 + 50*q**2 - 112*q - 414. Let r be d(-52). Let 0*b + 0*b**r + 4/19*b**3 + 0 - 2/19*b**4 = 0. What is b?
0, 2
Let n be 5 - (3/(42/(-7)))/(28/(-200)). Factor 2/7*c**3 + 0 - n*c - 8/