given that -5*g**2 - 23*g + x*g - 34*g + g**2 = 0.
-7, 0
Let n(r) = r**2 - 20. Let c be n(6). Factor c*k**3 - 9 + 14 + 16*k**2 - 28*k + 3.
4*(k + 2)*(2*k - 1)**2
Let s(z) be the first derivative of -z**6/270 - z**5/27 - 2*z**4/27 - 33*z**2/2 + 30. Let l(x) be the second derivative of s(x). What is h in l(h) = 0?
-4, -1, 0
Let v(j) be the second derivative of -j**6/180 + j**5/60 + j**4/18 - 2*j**3/9 - 87*j. Find o such that v(o) = 0.
-2, 0, 2
Let w be 56/35 - 4/(-10). Suppose 4*z = -16, r + w*z + 4 = -r. Solve -16 + 8*l - 14*l**3 - 36*l**2 - 14*l - r*l**4 - 34*l = 0 for l.
-2, -1
Let l(h) = 18*h**5 - 20*h**4 + 17*h**3 + 31*h**2 - 35*h. Let x(n) = -5*n**5 + 5*n**4 - 4*n**3 - 8*n**2 + 9*n. Let q(j) = 6*l(j) + 22*x(j). Solve q(i) = 0.
-6, -1, 0, 1
Let s be 2/(-2) + 1 - (0 + 0). Let o be 1/(-1 - s)*-4. Find g, given that 0*g**2 + 0 - 1/4*g**5 + 1/4*g**3 + 0*g**o + 0*g = 0.
-1, 0, 1
Suppose 8*n = 4*n - 12, -5*d = 4*n + 7. Let r be d/(-3)*1 + (-323)/(-285). Determine o, given that 2/5 - r*o**2 + 0*o**3 + 2/5*o**4 + 0*o = 0.
-1, 1
Let x(u) be the second derivative of u**7/5040 + u**6/1440 - u**5/120 + 2*u**4/3 + 4*u. Let g(b) be the third derivative of x(b). Factor g(v).
(v - 1)*(v + 2)/2
Let g(v) be the first derivative of -v**8/11760 + v**7/1470 - v**6/2520 - v**5/140 + 35*v**3/3 - 8. Let i(m) be the third derivative of g(m). Factor i(h).
-h*(h - 3)*(h - 2)*(h + 1)/7
Let g(u) = -u**2 + u + 31. Let y be g(0). Let d = y + -27. Factor -3/5*i**d - 3/5*i**3 + 3/5*i**5 + 0 + 3/5*i**2 + 0*i.
3*i**2*(i - 1)**2*(i + 1)/5
Let c(l) be the third derivative of l**6/96 - 3*l**5/8 + 25*l**4/32 + 85*l**3/12 + 2*l**2 + 63*l. Factor c(q).
5*(q - 17)*(q - 2)*(q + 1)/4
Let j(l) be the second derivative of -5*l**4/12 + 55*l**3/3 + 115*l**2/2 + 5*l + 46. Find n such that j(n) = 0.
-1, 23
Let g(q) = 87 - 9*q + 19*q**2 - q - 3*q**2 - 89. Let u(f) = -14*f**2 + 9*f + 3. Let a(c) = 5*g(c) + 6*u(c). Factor a(h).
-4*(h - 2)*(h + 1)
Let v be 8/6*(-4)/(-24). Let c(r) be the second derivative of -r - 8/9*r**3 + 0*r**2 + 0 - v*r**4 - 1/60*r**5. Let c(h) = 0. Calculate h.
-4, 0
Suppose 0*z**4 - 1/2*z**2 + 7/4*z**3 + 2 - 3*z - 1/4*z**5 = 0. What is z?
-2, 1, 2
Suppose -7*p + 6*p = -22. Factor -4*m**2 - p + 22 + 4*m.
-4*m*(m - 1)
Let q = 24 - 13. Suppose -q = 4*k - 43. Factor 8*f - 3*f**2 - k*f.
-3*f**2
Suppose -262 = 9*a + 377. Let u = a + 76. Solve -8/11*n**3 - 2/11 + 4/11*n**u + 4/11*n + 4/11*n**2 - 2/11*n**4 = 0 for n.
-1, 1/2, 1
Let t(p) = -p**2 + 7*p**2 - 4*p - 5*p**2 + 5. Let k be t(3). Let 1/3*l**k - 1/3 + 0*l = 0. What is l?
-1, 1
Let x(m) be the first derivative of -m**9/7560 - m**8/1400 - m**7/700 - m**6/900 - 13*m**3/3 + 5. Let j(z) be the third derivative of x(z). Factor j(y).
-2*y**2*(y + 1)**3/5
Solve 2/3*m**4 + 0*m + 1/3*m**2 + 0 - 3/2*m**3 = 0.
0, 1/4, 2
Let y = -64 + 101. Factor -v**2 - y*v - 3*v**2 - 2*v**3 + 43*v.
-2*v*(v - 1)*(v + 3)
Suppose o + 18 = 10*o. Factor y**4 + 4*y**5 + 11*y**o + 9*y**3 + 0*y**4 - 9*y**5 + 4*y + 4*y**5.
-y*(y - 4)*(y + 1)**3
Let r(b) be the second derivative of -5*b**7/6 + 29*b**6/3 - 71*b**5/2 + 15*b**4 + 315*b**3/2 - 135*b**2 + 10*b + 1. Determine u, given that r(u) = 0.
-1, 2/7, 3
Let t = -8725/3 + 2909. Let 8/3 + 0*z - 2*z**2 - t*z**3 = 0. Calculate z.
-2, 1
Let l(p) = -p**3 - 19*p**2 - 31*p + 51. Let q be l(-17). Find x, given that 4*x - 2/3*x**2 + q - 2/3*x**3 = 0.
-3, 0, 2
Suppose 17 = 5*y - 4*k - 13, -2*k - 14 = -2*y. Factor 0 + y*r**2 - 2/3*r + 8/3*r**3.
2*r*(r + 1)*(4*r - 1)/3
Let t = -2970 - -2975. Let v(s) be the third derivative of 11/10*s**t + 10/3*s**4 + 0 + 1/105*s**7 - 9*s**2 + 1/6*s**6 + 16/3*s**3 + 0*s. Factor v(a).
2*(a + 1)**2*(a + 4)**2
Let j be 2/7 - (-1806)/(-6664). Let v = j + 197/476. Let -3/7 + 3/7*s**2 + v*s - 3/7*s**3 = 0. What is s?
-1, 1
Let c = 36071/5 + -7204. Factor 12/5 - 3*y**3 + c*y**2 - 48/5*y.
-3*(y - 2)*(y - 1)*(5*y - 2)/5
Let f(l) be the first derivative of -3*l**5/5 - 3*l**4/2 + 11*l**3 + 18*l**2 - 108*l - 199. Find d such that f(d) = 0.
-3, 2
Let s be (-20)/(-90)*-18*30/(-40). Factor 0*w + 2/5*w**s + 0 + 2/5*w**2.
2*w**2*(w + 1)/5
Factor 5/4*t**3 + 5/4*t**2 + 15/4 - 25/4*t.
5*(t - 1)**2*(t + 3)/4
Suppose -3*n + 35 = 4*x, 0 = 2*n - 7*n + 5*x. Suppose -5/4*z**4 + 25/4*z**3 + 25/4*z**2 - 5*z - 5 - 5/4*z**n = 0. What is z?
-2, -1, 1, 2
Let o(r) be the third derivative of -16/3*r**3 - 1/30*r**5 - 2/3*r**4 + r**2 + 0 - 9*r. Factor o(a).
-2*(a + 4)**2
Let -44*l**2 + 53*l**4 - 51*l**4 - 2*l**3 - 4*l - 32*l - 48 - 52*l = 0. What is l?
-2, -1, 6
Let d be 0*(-6)/30 + 45/10. Let i = 1 - 1. Factor -d*u + i + 3*u**2 - 1/2*u**3.
-u*(u - 3)**2/2
Let l(h) be the third derivative of h**5/40 + 47*h**4/16 + 33*h**3 - 2*h**2 + 61*h. Solve l(y) = 0 for y.
-44, -3
Let j be 6724/28 - 1/(-7)*-1. Suppose 5*s**5 - 30*s**4 + 60*s**3 - 2*s**5 + 15*s**3 + 1 - 193 + 60*s**2 - j*s = 0. Calculate s.
-1, 4
Let 0 - 2/19*i**3 + 48/19*i + 4/19*i**2 = 0. Calculate i.
-4, 0, 6
Suppose 5 + 3*j**2 + 7 + 174*j - 343*j + 181*j = 0. What is j?
-2
Let y be (-2)/8 + 656/64. Factor -2*j**3 + 29*j**2 - y*j - 4 - 20*j**2 - 17*j**2.
-2*(j + 1)**2*(j + 2)
Suppose -1/3*c**5 + 728/3*c - 727/3*c**3 + 53/3*c**4 - 676/3 + 623/3*c**2 = 0. What is c?
-1, 1, 26
Let c = -37 - -37. Let f(z) be the second derivative of c*z**2 - 1/12*z**3 - 1/16*z**4 + 0 + 4*z + 1/40*z**5. Factor f(s).
s*(s - 2)*(2*s + 1)/4
Let x(j) be the third derivative of j**4/24 + 4*j**2. Let a be x(3). What is o in -o**a + 40*o**4 - 4*o**2 - 39*o**4 + o**5 + 3*o**2 = 0?
-1, 0, 1
Let b(u) be the first derivative of 0*u**2 - 1/8*u + 6 + 1/24*u**3. Factor b(q).
(q - 1)*(q + 1)/8
Suppose 71*a - 17*a + 132 + 8*a**2 + 214*a = 0. What is a?
-33, -1/2
Let c(m) = -3*m**3 - 6*m**2 + 41*m - 30. Let t(p) = 48*p**3 + 96*p**2 - 657*p + 480. Let z(j) = 33*c(j) + 2*t(j). What is f in z(f) = 0?
-5, 1, 2
Let g(w) be the third derivative of -w**6/1020 - 4*w**5/255 - 7*w**4/204 - 135*w**2. Determine m so that g(m) = 0.
-7, -1, 0
Suppose 5*d = 4*t - 0*d - 41, -2*d = 5*t - 10. Let i(k) = -k**2 - 15*k - 12. Let r be i(-14). Factor t*j - 1 - 6*j + j**r + 2.
(j - 1)**2
Let b(p) = 32*p**3 - 28*p**2 - 4*p + 15. Let r(k) = -16*k**3 + 14*k**2 + 2*k - 6. Let x(m) = -2*b(m) - 5*r(m). Let x(l) = 0. What is l?
-1/8, 0, 1
Suppose 0 = -5*t - 5*d + 55, -26 = -t - 2*d - 2*d. Suppose -z + 3*z - t = 0. Determine i so that 7*i + 19*i**2 - 15*i**2 - z*i = 0.
-1, 0
Let a(n) = -4*n**5 + 6*n**4 - 44*n**3 - 28*n - 14. Let i(u) = -u**5 + u**4 - 9*u**3 - 6*u - 3. Let h(w) = -6*a(w) + 28*i(w). Determine q, given that h(q) = 0.
-3, 0, 1
Let m(g) be the first derivative of -g**7/2520 - g**6/1080 + g**5/180 - 13*g**3/3 + 20. Let s(o) be the third derivative of m(o). Factor s(j).
-j*(j - 1)*(j + 2)/3
Suppose -1300 = -15*a + 5*a. Suppose 3*k = -121 + a. Solve -2/17*m**5 + 0 + 2/17*m**2 - 6/17*m**k + 0*m + 6/17*m**4 = 0.
0, 1
Let x(f) be the third derivative of 8/105*f**7 - 4/15*f**5 + 0*f**3 + 0 + 1/6*f**4 + 0*f + 7*f**2 - 1/30*f**6. Find b such that x(b) = 0.
-1, 0, 1/4, 1
Let m(i) be the first derivative of i**6/36 - i**5/5 + 11*i**4/24 - i**3/3 - 99. Determine s so that m(s) = 0.
0, 1, 2, 3
Let x(k) be the third derivative of -k**7/315 + k**6/45 + k**5/18 - 28*k**2 - 1. Determine p, given that x(p) = 0.
-1, 0, 5
Let d be 34/(-153) + (-79)/9. Let k be d/(-39) + (-24)/(-312). Solve -k*w**2 + 0*w - 2/13*w**3 + 0 = 0.
-2, 0
What is o in 186745*o + 95*o**4 + 126748 + 20691*o**2 + 28319*o**2 + 5*o**5 + 5330*o**3 + 170*o**4 + 16057 = 0?
-13, -1
Let y = 158 + -95. Let d be (-18)/y + (-16)/(-7). Solve 14*t**2 - 8*t**4 - 47*t**d - 39*t**3 - 4*t**4 - 6*t = 0.
-2, -1, -1/4, 0
Let z(i) = -i**2 - 7*i + 2. Let l be z(-6). Solve -10*w**3 + 10*w - l*w**4 - 10*w**4 + 35*w**2 - 26*w**4 + 9*w**4 = 0.
-1, -2/7, 0, 1
Let y(k) be the first derivative of 4*k**5/5 + 6*k**4 + 20*k**3/3 - 24*k**2 - 97. Determine a, given that y(a) = 0.
-4, -3, 0, 1
Let u = 29 + -27. Suppose 2*s + 3*q - 37 = u*q, s - 2*q = 16. Determine t so that 8 + 0*t**3 - 4 + 21*t**2 + 15*t - s*t**4 - 15*t**3 - 7 = 0.
-1, 1/6, 1
Let g(m) be the first derivative of -3*m**4/4 - 2*m**3 + 6*m**2 + 24*m - 43. Solve g(w) = 0 for w.
-2, 2
Let h(k) be the second derivative of 8*k**7/63 - 2*k**6/135 - 4*k**5/15 + k**4/27 - 437*k. Let h(z) = 0. What is z?
-1, 0, 1/12, 1
Let u(m) be the second der