35*o**2 + 108*o - 120. Suppose v(l) = 0. Calculate l.
1, 6
Let -37 + 74 + 66 - 3 + 28 + 132*f + 4*f**2 = 0. What is f?
-32, -1
Let n(y) be the third derivative of y**6/540 + y**5/270 - y**4/18 + 587*y**2. Factor n(l).
2*l*(l - 2)*(l + 3)/9
Let h = 5 - 3. Let t(a) be the second derivative of 1/12*a**3 + 1/60*a**6 - 1/36*a**4 - 1/60*a**5 - 1/252*a**7 - 1/12*a**h + 0 + 2*a. Factor t(q).
-(q - 1)**4*(q + 1)/6
Suppose 8*u = 4*u + 8. Let f = -87 - -177/2. Find r, given that 3/2 + 0*r - f*r**u = 0.
-1, 1
Let p(m) be the second derivative of -7*m**6/15 - 37*m**5/10 - 59*m**4/6 - 35*m**3/3 - 6*m**2 + 11*m - 8. Suppose p(i) = 0. Calculate i.
-3, -1, -2/7
Let h be 5789/(-77) - (-2)/11. Let c be (-235)/h + (-4)/30. Solve -3 + 3*v**4 - 6*v + 9*v**3 + 0*v - 3*v**c = 0.
-1, 1
Let c = 50 - 42. Let i be (((-3)/(-2))/(4/c))/1. Factor 4/5*v**4 + 1/5 + 13/5*v**2 - 12/5*v**i - 6/5*v.
(v - 1)**2*(2*v - 1)**2/5
Let y(t) = 5*t**3 - 69*t**2 - 3*t + 18. Let k(h) = -16*h**3 + 208*h**2 + 10*h - 60. Let o(d) = -3*k(d) - 10*y(d). Determine n so that o(n) = 0.
0, 33
Let d(w) be the first derivative of -w**3 - 3*w**2/2 + 60*w - 38. Factor d(j).
-3*(j - 4)*(j + 5)
Let y(i) be the first derivative of -2/3*i**3 + 0*i - 3 + i**2. Factor y(m).
-2*m*(m - 1)
Solve -540*z**2 - 372*z - 13 + 18*z**5 + 34*z**4 - 213*z**3 - 13*z**4 - 16 - 19 = 0 for z.
-2, -1, -1/6, 4
Let n(d) be the first derivative of -d**3/9 + 2*d**2/3 + 5*d/3 + 88. Factor n(l).
-(l - 5)*(l + 1)/3
Let g be (-4)/6 - 408/(-72). Suppose -125*j - 2*j**g + 8*j**4 + 125*j - 10*j**5 = 0. Calculate j.
0, 2/3
Let p be 2 + (-4)/2 + 0. Suppose 0 = 4*x - g - 27, p*x - 2*g = -3*x + 19. Factor -x + 4*r**2 + 8 + 16*r**4 - 16*r**3 - 1.
4*r**2*(2*r - 1)**2
Solve -20/3*m**3 + 4/3*m**4 + 32/3*m + 4/3*m**5 - 16/3 - 4/3*m**2 = 0.
-2, 1
Let s be 1 + 1 - ((-344)/48 - -9). Let y = 176 - 174. Factor 0*a - s + 1/6*a**y.
(a - 1)*(a + 1)/6
Determine n so that -5*n - 75/2 - 1/6*n**2 = 0.
-15
Suppose z = v - 4, 2*v - z - 3 = 1. Let t be 3 - ((-2)/(-2) + v). Factor t*y**2 - 12*y + y**2 + 15*y.
3*y*(y + 1)
Let r = -369 - -520. Let z = r - 1055/7. Suppose -z*g**2 + 4/7*g + 0 = 0. What is g?
0, 2
Let r = -88 - -89. Let b be (r/(-4) - 27/(-84))*30. Factor -6/7*l + 3/7*l**2 + 0 + 24/7*l**3 + b*l**4.
3*l*(l + 1)**2*(5*l - 2)/7
Let q(b) be the first derivative of -12*b**5/5 - 51*b**4/4 + 44*b**3 + 18*b**2 + 343. Factor q(z).
-3*z*(z - 2)*(z + 6)*(4*z + 1)
Suppose 45/8 + 3/8*v**2 + 3*v = 0. Calculate v.
-5, -3
Let g(a) = -a**2 + 1. Let w(b) be the first derivative of -9*b**5/5 + 3*b**4/4 - 5*b**3/3 + 5*b - 8. Let z(q) = 5*g(q) - w(q). What is c in z(c) = 0?
0, 1/3
Suppose 3*n = -7*c - 3, 0 = 3*c - n - 49 + 48. Suppose -4/9 + 4/9*g**2 + 2/3*g - 8/9*g**3 + 2/9*g**5 + c*g**4 = 0. Calculate g.
-2, -1, 1
Suppose 0 = x + 2*x - 9. Let m(y) = -y**2 - 2*y + 3. Let n be m(0). Determine f, given that -f**2 + x*f**2 - f**2 + 4*f - n*f = 0.
-1, 0
Let u be ((-20)/(-14))/((-18)/(-84)) + 31 + -37. Factor 0*t - u*t**3 - 2/3*t**2 + 0.
-2*t**2*(t + 1)/3
Suppose 2*a**2 + 20*a - 26*a + 32*a = 0. What is a?
-13, 0
Let b(u) be the third derivative of -u**7/1260 + u**6/240 + u**5/360 - u**4/48 - 4*u**2 - 11*u. Suppose b(g) = 0. What is g?
-1, 0, 1, 3
Let q = -183598/5 + 36720. Let 0 + 2/5*u**4 + 4/5*u - q*u**2 - 4/5*u**3 = 0. Calculate u.
-1, 0, 1, 2
Let u(m) be the second derivative of m**5/200 - 2*m**4/15 - m**3/60 + 4*m**2/5 - 126*m. Factor u(v).
(v - 16)*(v - 1)*(v + 1)/10
Suppose -5*p + 16 = -39. Let i = p + -9. Factor d**3 + 4*d**2 - 2*d - i*d**3 - d**3.
-2*d*(d - 1)**2
Let j = 4363/50 + -39/25. Let y = 173/2 - j. Factor 319/5*p**4 - 47*p**3 + 32/5*p + 1/5*p**2 + y - 121/5*p**5.
-(p - 1)**3*(11*p + 2)**2/5
Let w = 528 - 14254/27. Let y(j) be the first derivative of -1/18*j**4 - w*j**3 + 0*j + 0*j**2 + 3. Factor y(s).
-2*s**2*(s + 1)/9
Factor -93*v**4 + 97*v**4 - 20*v**3 - 17*v**2 - 7*v**2.
4*v**2*(v - 6)*(v + 1)
Let m(x) be the second derivative of 5*x**4/12 - 20*x**3/3 - 45*x**2/2 + 11*x - 2. Factor m(z).
5*(z - 9)*(z + 1)
Let d(j) = 5*j + 2. Let s be d(1). Let w be 38/14 + 2/s. Factor -5/2*t**w + 9*t**2 - 3 - 7/2*t.
-(t - 3)*(t - 1)*(5*t + 2)/2
Let l(i) be the first derivative of i**6/30 - i**5/15 - 5*i**4/6 - 2*i**3 - 3*i**2/2 - 5. Let z(v) be the second derivative of l(v). Solve z(c) = 0.
-1, 3
Suppose -3*h - 3 = -2*t - 2, 2*h - 2 = 0. Suppose 4*o - 20 = -o. Let -g**t + g + 3 - o - 2 - 5*g = 0. Calculate g.
-3, -1
Let x(d) be the second derivative of -33*d**5/20 - 17*d**4/4 - 3*d**3 - 127*d + 1. Factor x(i).
-3*i*(i + 1)*(11*i + 6)
Factor -2/3*c - 1/9*c**3 + 7/9*c**2 + 0.
-c*(c - 6)*(c - 1)/9
Let q(h) be the first derivative of -2*h**4 + 44*h**3/3 + 25*h**2 + 13*h - 7. Factor q(o).
-(2*o - 13)*(2*o + 1)**2
Let s = -9952 + 9956. Let -9/7*p**2 - 6/7*p**3 + 9/7*p**s + 6/7*p + 0 = 0. What is p?
-1, 0, 2/3, 1
Let j(u) be the first derivative of u**5/120 - u**4/16 + 7*u**2 + 12. Let z(i) be the second derivative of j(i). Let z(k) = 0. What is k?
0, 3
Suppose 0 = -21*k + 5*k + 1184. Let z = 151/2 - k. Factor 3/2*l**5 + 0*l - z*l**3 + 3/2*l**4 + 0 - 3/2*l**2.
3*l**2*(l - 1)*(l + 1)**2/2
Let f be (-62)/217 + 46*2/28. Let d(n) be the second derivative of 0 - 1/15*n**5 + 1/2*n**f - n + 1/12*n**4 + 1/3*n**2. Suppose d(s) = 0. Calculate s.
-1, -1/4, 2
Let l be 2/(-3) - (1 - (-495)/(-288)). Let t = 257/1248 - l. Factor 2/13*o**3 - 2/13*o + 0 - 2/13*o**4 + t*o**2.
-2*o*(o - 1)**2*(o + 1)/13
Let a(r) be the first derivative of 0*r**2 - 1/20*r**5 + 0*r + 7/3*r**3 + 10 - 3/8*r**4 - 1/360*r**6. Let q(v) be the third derivative of a(v). Factor q(i).
-(i + 3)**2
Let u(s) be the first derivative of 25*s**6/9 - 40*s**5/3 - 2*s**4/3 + 32*s**3/9 - 25. Solve u(j) = 0.
-2/5, 0, 2/5, 4
Suppose 23*a = 17*a + 24. Suppose -a = 4*r - 12. Determine i so that 0 - 3/2*i**r + i + 1/2*i**3 = 0.
0, 1, 2
Factor 0 - 3/2*a**3 + 1/4*a**4 - a**2 + 2*a + 1/4*a**5.
a*(a - 2)*(a - 1)*(a + 2)**2/4
Suppose l - 14 = -3*o, -5*l + 4 = 5*o - 36. Let f be 30/(-16)*(o + (-126)/30). Solve -3/2 + f*x - 3/4*x**2 = 0 for x.
1, 2
Let a be (-13548)/(-28225)*(0/1 + 10/4). Find u, given that -6/5*u**3 - a*u**4 + 12/5*u**2 + 0 + 0*u = 0.
-2, 0, 1
Let m(p) be the third derivative of p**6/80 - 3*p**5/20 + 5*p**4/16 + 92*p**2. Factor m(l).
3*l*(l - 5)*(l - 1)/2
Let o(d) be the second derivative of -d**6/120 + 11*d**5/40 + 3*d - 22. Factor o(j).
-j**3*(j - 22)/4
Let k(d) = -d**2 + 9*d - 13. Let n be k(6). Factor -8 + 6*a + n*a + 2*a**2 - 4*a - a.
2*(a - 1)*(a + 4)
Determine s so that -4/7*s**5 - 108/7*s**3 + 124/7*s**2 - 48/7*s + 0 + 36/7*s**4 = 0.
0, 1, 3, 4
Let r(w) = -w**3 + w**2 - w - 1. Suppose 5*g - 4*p = 7, g + 3*g = p + 10. Let k(f) = 9*f**3 - 3*f. Let m(i) = g*r(i) + k(i). Factor m(l).
3*(l - 1)*(l + 1)*(2*l + 1)
Suppose -3*g + 13 + 8 = -2*v, v = -4*g + 17. Let n = v + 3. Factor 3*m**3 - m**5 - 3*m**5 + m**5 + n*m**3.
-3*m**3*(m - 1)*(m + 1)
Determine j so that -198*j + 0*j**3 - 2*j**3 + 162 + 10*j**3 + 38*j**2 - 10*j**3 = 0.
1, 9
Let j(k) be the third derivative of k**5/210 + 5*k**4/28 + 18*k**3/7 + 893*k**2. Determine m so that j(m) = 0.
-9, -6
Let j(u) be the first derivative of -4/3*u**3 + 0*u + 4/5*u**5 + 26 + u**4 - 2*u**2. Factor j(v).
4*v*(v - 1)*(v + 1)**2
Let b(l) = l**2 + 11*l + 2. Let w be b(-11). Factor -3*p**2 + 4*p**2 - 5*p**w + 14*p**3 + 2*p**3.
4*p**2*(4*p - 1)
Let f(x) = 3*x**5 + 5*x**4 - x**3 - x**2 - 2*x - 2. Let a(h) = -10*h**5 - 16*h**4 + 4*h**3 + 2*h**2 + 6*h + 7. Let m(y) = 4*a(y) + 14*f(y). Factor m(p).
2*p*(p - 1)*(p + 1)**2*(p + 2)
Let n = -22909/7 - -3274. Determine u so that -3/7*u**3 - n*u - 9/7*u**2 - 3/7 = 0.
-1
Let l(t) be the third derivative of 19*t**5/12 + 10*t**4/3 - 5*t**3/2 + 65*t**2. Factor l(k).
5*(k + 1)*(19*k - 3)
Let a(w) be the second derivative of 0 + 11*w + 0*w**2 - 1/24*w**4 - 1/12*w**3 - 1/160*w**5. Find q such that a(q) = 0.
-2, 0
Suppose -5*h**4 - 33*h**3 - 60 + 85*h - 6*h**2 - 15*h**2 + 8*h**3 + 26*h**2 = 0. Calculate h.
-4, -3, 1
Factor 3/4*x**3 + 3*x**2 + 0 + 9/4*x.
3*x*(x + 1)*(x + 3)/4
Factor 24*g**2 - 8*g**4 - 44*g**3 + 147*g - 147*g.
-4*g**2*(g + 6)*(2*g - 1)
Let u = -19 + 18. Let k be -1*(1 - -1)*u. Suppose 4*q - 1 - 4*q**3 - 3 + 2 + k*q**4 = 0. Calculate q.
-1, 1
Let i(v) be the first derivative of -v**6/24 - 9*v**5/20 - 15*v**4/8 - 23*v**3/6 - 33*v**2/8 - 9*v/4