 - 2*g**2 + 61*g - 2*g**2 - 6*g**2 - 77*g = 0. Calculate g.
-2, -1/3
Let q = 811 + -12157/15. Let -2/15*l**4 - q*l**2 - 8/15*l**3 + 0*l + 0 = 0. What is l?
-2, 0
Find i such that 3/5*i**3 - 1/5*i**5 + 2/5*i**2 + 0 + 0*i**4 + 0*i = 0.
-1, 0, 2
Let h = 457 - 457. Let m(r) be the third derivative of -1/8*r**3 + h*r + 1/80*r**5 + 0*r**4 - 3*r**2 + 0. Factor m(i).
3*(i - 1)*(i + 1)/4
Let u(f) be the second derivative of 0 - 1/40*f**5 + f**2 + 3/16*f**4 - 8*f - 1/2*f**3. Let w(q) be the first derivative of u(q). Factor w(z).
-3*(z - 2)*(z - 1)/2
Factor -1/3*g**4 + 3*g**2 + 6*g + 0 - 2/3*g**3.
-g*(g - 3)*(g + 2)*(g + 3)/3
Let w(j) be the first derivative of -3*j**4/4 + 2*j**3 + 9*j**2/2 - 18. Determine h, given that w(h) = 0.
-1, 0, 3
Let i(v) = -27*v**3 - 36*v**2 + 17*v + 26. Let r(g) = -g**2 + 25*g**2 - 70 + 53 + 18*g**3 - 11*g. Let j(d) = -5*i(d) - 8*r(d). Factor j(s).
-3*(s + 1)**2*(3*s - 2)
Let o = -30977 + 30977. Determine p, given that 1/3*p**5 + 0*p + o + 0*p**3 + 0*p**2 + 2/3*p**4 = 0.
-2, 0
Factor 0 - 3844/7*z - 4/7*z**3 - 248/7*z**2.
-4*z*(z + 31)**2/7
Suppose -2*s - s = -6. Let p = 0 + s. Solve 0*r**2 - 2 + 4*r**p - 12*r + 2 = 0.
0, 3
Let f(w) be the third derivative of -w**6/24 + 35*w**4/24 + 5*w**3 + 19*w**2 - w. Let f(t) = 0. Calculate t.
-2, -1, 3
Factor -11/5*o**2 - o**4 - 3/5*o + 0 - 13/5*o**3.
-o*(o + 1)**2*(5*o + 3)/5
Let 18*s**2 - 10*s**3 + 9 - 54*s + 2 + 0*s**3 + 28*s**2 + 7 = 0. What is s?
3/5, 1, 3
Let t(c) be the third derivative of -c**6/480 + c**5/40 - 3*c**4/32 + 17*c**3/6 - 32*c**2. Let l(k) be the first derivative of t(k). What is d in l(d) = 0?
1, 3
Let s(h) be the third derivative of 0*h**6 + 1/12*h**5 - 7 + 0*h**3 + 5/168*h**8 + 0*h**4 - 1/14*h**7 + 0*h - 5*h**2. Suppose s(g) = 0. Calculate g.
-1/2, 0, 1
Let y = 16/175 - -193/2100. Let z(t) be the second derivative of -27/4*t**2 + 27/4*t**3 + 1/84*t**7 + 0 + t - y*t**6 + 23/20*t**5 - 15/4*t**4. Solve z(x) = 0.
1, 3
Let t = 42927/70 + -1231/2. Let u = -13/7 - t. Factor -1/5*a**4 + 0*a + 0 - u*a**2 + 3/5*a**3.
-a**2*(a - 2)*(a - 1)/5
Let y(h) be the third derivative of 1/240*h**6 - 1/120*h**5 + 0*h**3 - 1/672*h**8 + 0*h**4 + 1/420*h**7 + 0*h + 0 + 4*h**2. Let y(c) = 0. Calculate c.
-1, 0, 1
Suppose -c + 28 = 25. Suppose 44 = 14*g - c*g. Factor -2/5*l**g + 2/5*l**2 + 0 + 2/5*l**3 - 2/5*l.
-2*l*(l - 1)**2*(l + 1)/5
Let m = 32191/17 + -1895. Let w = -31/34 - m. Find k, given that w*k - 1/2*k**2 + 0 = 0.
0, 1
Suppose 0 = -2*j + 7*j - 135. Solve -122 + 4*o**3 - 48*o**2 - j*o + 158*o + 61*o - 134 = 0.
4
Let l(d) = -9*d**3 - 68*d**2 - 1517*d - 2742. Let k(h) = -7*h**3 - 70*h**2 - 1517*h - 2741. Let j(b) = 4*k(b) - 3*l(b). Factor j(u).
-(u + 2)*(u + 37)**2
Let j be (-1)/3 - (-6)/18. Suppose 0 = -j*o - 3*o - 9, -f - 2*o - 3 = 0. Solve -2*n - 2*n**4 + 3*n + 6*n**2 + f + 9*n - 2*n**3 + 1 = 0.
-1, 2
Let b = 2064/11231 - 2/1021. Let h(d) be the second derivative of 2*d - b*d**2 + 1/110*d**5 + 1/33*d**4 + 0 - 1/33*d**3. Let h(v) = 0. Calculate v.
-2, -1, 1
Let t(r) be the first derivative of r**6/6 + 4*r**5/5 - 2*r**4 - 10*r**3/3 + 23*r**2/2 - 10*r + 258. Factor t(u).
(u - 1)**3*(u + 2)*(u + 5)
Suppose 0 = -3*t + 322 + 452. Factor 129*g + 4 - t*g - 2*g**2 + 127*g.
-2*(g - 1)*(g + 2)
Suppose 4*t - 51 = 1. Let v(a) = a**2 - 13*a + 2. Let x be v(t). Let 2/3*k**3 + 2/3 + x*k + 2*k**2 = 0. Calculate k.
-1
Let q(a) be the first derivative of a**4/7 + 4*a**3/21 + 8. Find k, given that q(k) = 0.
-1, 0
Let c(t) be the second derivative of -t**6/120 + t**5/12 + t**4/4 + 21*t**2/2 + 21*t. Let w(s) be the first derivative of c(s). Factor w(l).
-l*(l - 6)*(l + 1)
Suppose 2*i + 6*b - 32 = 2*b, 5*i - 35 = -b. Let y(k) be the first derivative of -i - 1/5*k**2 + 1/15*k**3 + 1/5*k. Suppose y(u) = 0. Calculate u.
1
Let f(n) = -3*n**2 - 7*n - 2. Let t be f(-1). Solve -40/3 + 5/3*i**4 + 10*i**t + 25/3*i**3 - 20/3*i = 0 for i.
-2, 1
Let i = -11 - -11. Suppose 3*t + 3*j + j + 7 = i, -2 = -2*t - j. Let 3*c**2 - t*c**2 - 3*c**2 - 5*c + 2*c = 0. What is c?
-1, 0
Suppose -5/4*d**4 + 0 + 1/8*d**3 + 3/4*d**2 + 0*d + 3/8*d**5 = 0. Calculate d.
-2/3, 0, 1, 3
Let z(s) be the third derivative of -8*s**2 + 2/15*s**5 + 0*s**4 + 0 + 0*s**3 + 0*s - 13/30*s**6 + 22/105*s**7. Determine y so that z(y) = 0.
0, 2/11, 1
Let a(c) be the first derivative of 34*c**6/15 - 92*c**5/25 + 6*c**4/5 + 377. Suppose a(n) = 0. What is n?
0, 6/17, 1
Let d = 2124/55 + -1816/55. Determine k, given that 4/5*k**5 + 56/5*k**3 - 12*k + 36/5 - d*k**4 - 8/5*k**2 = 0.
-1, 1, 3
Let h(g) be the second derivative of g**7/252 - g**6/60 + g**5/60 + g**4/36 - g**3/12 + g**2/12 - 9*g + 3. Factor h(c).
(c - 1)**4*(c + 1)/6
Let t = 306 + -916/3. Let k(c) be the first derivative of -2/27*c**3 - 7 + t*c + 2/9*c**2. Factor k(v).
-2*(v - 3)*(v + 1)/9
Let 4377*v + 88*v**2 + 4437*v - 8898*v - 4*v**3 = 0. Calculate v.
0, 1, 21
Let m(c) be the first derivative of -3*c**4/28 + c**3/7 + 47. Factor m(w).
-3*w**2*(w - 1)/7
Suppose -3*g - 4*f = -103 + 2, -3*f - 66 = -3*g. Let c = g + 4. Solve -c*p**4 + 27*p**5 - 44*p**4 - 5*p**2 - 4*p**2 + 63*p**3 - 6*p = 0 for p.
-2/9, 0, 1
Let a(z) = -6*z**3 + 11*z**2 + 10*z + 7. Let t(b) = 5*b**3 - 10*b**2 - 9*b - 6. Let y(j) = 6*a(j) + 7*t(j). Suppose y(u) = 0. Calculate u.
-3, -1, 0
Let m(k) be the second derivative of k**5/10 + k**4/3 + 5*k**3/12 + k**2/4 + 8*k - 11. Let m(n) = 0. Calculate n.
-1, -1/2
Let l be 20/((-800)/36)*(-5)/4. Factor 3/8*d**2 - l*d + 3/4.
3*(d - 2)*(d - 1)/8
Let z(m) be the third derivative of m**7/420 - m**6/240 - m**5/120 + m**4/48 + 74*m**2. Let z(f) = 0. What is f?
-1, 0, 1
Let q be (0 - 3) + -7 + 13. Factor 130*j**q - 3*j**2 - 125*j**3 - 3*j + j**2.
j*(j - 1)*(5*j + 3)
Let p(y) be the second derivative of 0*y**2 - 5/8*y**4 - 1/20*y**6 + 12*y + 0 + 3/10*y**5 + 1/2*y**3. Factor p(s).
-3*s*(s - 2)*(s - 1)**2/2
Let g(r) be the first derivative of -r**6/320 + r**4/16 - 47*r**2/2 - 17. Let m(f) be the second derivative of g(f). Factor m(z).
-3*z*(z - 2)*(z + 2)/8
Let f(y) be the third derivative of -y**8/840 + 13*y**7/525 - 16*y**6/75 + 76*y**5/75 - 44*y**4/15 + 16*y**3/3 + 232*y**2. Let f(x) = 0. Calculate x.
2, 5
Let c be -8 - (-4 - (17 + -8)). What is m in 4/5*m**c - 4/5*m + 8/5*m**4 + 0 + 0*m**3 - 8/5*m**2 = 0?
-1, 0, 1
Let n(f) = 17*f**3 - 36*f**2 + 93*f + 44. Let g(i) = -49*i**3 + 110*i**2 - 281*i - 133. Let p(q) = 6*g(q) + 17*n(q). Solve p(o) = 0.
-2/5, 5
Let x(o) = -184*o + 2762. Let w be x(15). Factor 1/11*b**3 - 1/11*b**w - 3/11 - 5/11*b.
(b - 3)*(b + 1)**2/11
Factor -57*v**3 - 62*v**2 - 14*v - 12*v**2 - 10*v - 9*v - 14*v**4 - 2.
-(v + 1)**2*(v + 2)*(14*v + 1)
Let b(v) = -2 + 6 + 2*v - 3 - 4. Let g be b(4). Find s such that -5*s**4 - 8*s**4 + 7*s**4 + s**5 + s**g + 4*s**3 = 0.
0, 1, 2
Let k(u) be the first derivative of u**4/4 - 2*u**3/3 - 3*u**2/2 + 16. Factor k(y).
y*(y - 3)*(y + 1)
Suppose -2*y = -j - 17, 4*j - 17 = 3*y - 55. Suppose -3*n + 0 = -y. Let -41 + 35 - 3*f - f**n + 4*f**2 = 0. What is f?
-1, 2
Let w(c) be the first derivative of 1/24*c**3 - 1/8*c**2 + 0*c + 1/32*c**4 - 19. Suppose w(g) = 0. Calculate g.
-2, 0, 1
Factor 0*w - 10/3*w**3 + 0 - 16/3*w**2 - 1/3*w**4.
-w**2*(w + 2)*(w + 8)/3
Factor 27 - 10*d**2 - 7 - 29*d - 8 - 9.
-(d + 3)*(10*d - 1)
Factor -317*u - 317*u + 15*u**2 + 628*u.
3*u*(5*u - 2)
Let g(i) be the first derivative of -2*i**3/39 + 7*i**2/13 - 24*i/13 - 30. Factor g(c).
-2*(c - 4)*(c - 3)/13
Let x be (-12 + 12 + 0)/6. Let -7/4*v**4 + 0 + x*v**2 + 5/4*v**5 + 0*v + 1/2*v**3 = 0. What is v?
0, 2/5, 1
Factor 1/4*l**3 + 317/4*l + 40*l**2 + 79/2.
(l + 1)**2*(l + 158)/4
Let p(s) be the first derivative of s**4/10 - 16*s**3/15 - s**2/5 + 16*s/5 - 8. Suppose p(v) = 0. What is v?
-1, 1, 8
Suppose 0 = b - 2*g + 8, -g - 13 = -17. Find s such that 3/8*s**2 + b*s**3 - 3/8*s**4 + 0*s + 0 = 0.
-1, 0, 1
Let g(t) = -14*t**5 + 64*t**4 - 61*t**3 + 11*t**2. Let s(q) = -42*q**5 + 194*q**4 - 182*q**3 + 34*q**2. Let u(v) = 20*g(v) - 6*s(v). Factor u(f).
-4*f**2*(f - 2)**2*(7*f - 1)
Suppose -64 = -57*i + 50. Let n(m) be the second derivative of 0*m**i + 0 - 1/24*m**3 - 1/60*m**6 + 1/24*m**4 + 1/168*m**7 + 0*m**5 + m. Factor n(f).
f*(f - 1)**3*(f + 1)/4
Let n(i) be the third derivative of -729*i**6/200 + 7047*i**5/25 - 45414*i**4/5 + 780448*i**3/5 + 934*i**2. Factor n(m).
-3*(9*m - 116)**3/