*l + q*l**4 - 2/17*l**5 = 0.
-1, 0, 2
Let q = 44 + -42. Let a be (-3)/(-1) - q*(-6)/(-12). Solve -6*h**2 - a*h**5 - 10*h**3 + 0 - 4/3*h - 22/3*h**4 = 0.
-1, -2/3, 0
Let g(k) be the second derivative of k**5/8 + 5*k**4/8 + 5*k**3/6 - 85*k + 1. Let g(v) = 0. Calculate v.
-2, -1, 0
Factor 10328853/4 + 205209/4*k + 1359/4*k**2 + 3/4*k**3.
3*(k + 151)**3/4
Suppose v = -5 + 9. Let d be v - (2/(-8) - (-33)/(-44)). Solve 9/4*k**3 + 0 + 3/4*k**d + 9/4*k**4 + 3/4*k**2 + 0*k = 0 for k.
-1, 0
Factor -t**4 - 19*t**2 - 16*t - 21*t**4 - 29*t**2 - 4*t**5 - 7*t**4 + 5*t**4 - 52*t**3.
-4*t*(t + 1)**2*(t + 2)**2
Factor -2*m + 1/2*m**2 + 3/2.
(m - 3)*(m - 1)/2
Solve 464/7*g**4 + 96/7*g**3 + 0 + 64*g**5 - 8/7*g - 4*g**2 = 0 for g.
-1/2, -2/7, 0, 1/4
Let v(f) be the third derivative of f**6/2 - 37*f**5/15 + 2*f**4 + 8*f**3/3 - 368*f**2. Factor v(d).
4*(d - 2)*(3*d - 2)*(5*d + 1)
Let q = 7318037/7657 - 16330/403. Let d = -915 + q. Factor d*z**2 + 4/19*z**3 - 6/19*z**4 + 2/19 - 6/19*z + 2/19*z**5.
2*(z - 1)**4*(z + 1)/19
Let n(b) be the first derivative of 9*b**5/5 - 43*b**4/4 + 53*b**3/3 - 13*b**2/2 - 6*b - 102. Factor n(s).
(s - 3)*(s - 1)**2*(9*s + 2)
Let m = -2021 - -10131/5. Factor -8/5 + m*f**2 + 26/5*f - 8/5*f**3.
-2*(f - 4)*(f + 1)*(4*f - 1)/5
Let l(u) = 3 + u**2 + 0*u**2 + 4*u - 5*u**2 - u. Let t(x) = x**2 - x - 1. Let p(d) = 5*l(d) + 15*t(d). Let p(v) = 0. What is v?
0
Suppose 6*v + 4 = 8*v. Let a be -4 + (v + 4 - 0). Factor 1/5*c - 1/5*c**3 - 1/5*c**a + 1/5.
-(c - 1)*(c + 1)**2/5
Let k(d) be the third derivative of d**6/480 - d**5/24 + 278*d**2. What is h in k(h) = 0?
0, 10
Suppose -s + 6 = 3. What is i in -20*i + 22*i + 7 - 7 + 2*i**s + 4*i**2 = 0?
-1, 0
Let j(i) be the second derivative of 2*i**7/735 - i**6/70 + i**5/35 - i**4/42 - i**2/2 + i. Let q(y) be the first derivative of j(y). What is a in q(a) = 0?
0, 1
Let q(m) = -m**2 - 8*m + 9. Let z be q(-7). Let i be (-5)/(2*(-2)/z). Solve -4 + 14*w**3 + 42*w**2 - 6*w**2 + 2*w**4 + 40*w + i = 0.
-2, -1
Let s(j) be the second derivative of 0 + 3*j + 0*j**2 - 3/70*j**5 - 2/21*j**3 + 5/42*j**4. Factor s(o).
-2*o*(o - 1)*(3*o - 2)/7
Factor -15/8 - 1/8*m**3 - 9/8*m**2 - 23/8*m.
-(m + 1)*(m + 3)*(m + 5)/8
Factor 5250987 + 1/2*u**5 + 11823*u**3 - 377/3*u**4 + 15086169/2*u - 492156*u**2.
(u - 63)**4*(3*u + 2)/6
Determine p so that 5*p**3 + 85*p**4 - 45*p - 45*p**2 - 44*p**4 - 36*p**4 = 0.
-3, -1, 0, 3
Let i(z) be the second derivative of z**5/5 + 5*z**4/6 - 14*z**3/3 - 8*z**2 - 228*z. Factor i(m).
2*(m - 2)*(m + 4)*(2*m + 1)
Let o = -9063/7 - -1295. Solve -8/7*f**4 + 0*f**3 - o*f**5 + 32/7*f**2 + 0 + 32/7*f = 0 for f.
-2, 0, 2
Let r(p) be the first derivative of p**3/3 - 17*p**2 + 289*p - 89. Factor r(d).
(d - 17)**2
Let l(j) be the third derivative of -j**6/288 + j**5/96 + 7*j**3/6 - 21*j**2. Let q(y) be the first derivative of l(y). Factor q(k).
-5*k*(k - 1)/4
Let p be -1 - 0/(-3) - 3. Let s be p/14*(-1)/2. Factor -1/7*h**3 - 1/7*h**4 + s*h - 2/7 + 3/7*h**2.
-(h - 1)**2*(h + 1)*(h + 2)/7
Factor 0 + 5/6*r**2 - 1/2*r.
r*(5*r - 3)/6
Let i(m) be the second derivative of -m**5/60 - 13*m**4/36 - 8*m**3/3 - 6*m**2 - 6*m - 4. Factor i(c).
-(c + 1)*(c + 6)**2/3
Suppose -2*w + 8 + 4 = 0. Suppose 6 + 51*l**2 + 12*l**3 - 63*l**4 + w + 27*l**5 - 3*l**3 + 12*l**3 - 48*l = 0. Calculate l.
-1, 2/3, 1
Let c = 1322/3933 + -11/3933. Factor 1/6*d**2 - c + 1/6*d.
(d - 1)*(d + 2)/6
Let n(a) = -a**3 + a**2 + a - 1. Let d(f) = -4*f**4 - 88*f**3 - 448*f**2 - 888*f - 12. Let k(m) = d(m) - 12*n(m). Suppose k(s) = 0. What is s?
-9, -5, 0
Let q(p) = 119*p**2 + 5*p - 1. Let u be q(1). Let i(j) = -5*j - 1. Let l be i(-1). Determine s, given that -4*s**3 + 2*s + l + 2*s + 119*s**2 - u*s**2 = 0.
-1, 1
Let j be -6 + ((-25)/14)/(24/(-84)). Suppose -1/2*m - j*m**2 + 0 = 0. What is m?
-2, 0
Let l(g) = 3*g. Let n be l(1). Suppose 0 = -0*r - 6*r + 24. Factor -2*u**2 + 6*u**2 - 6*u**2 + n*u**3 - u**r.
-u**2*(u - 2)*(u - 1)
Factor -317*o**2 - 5*o**3 + 639*o**2 - 342*o**2 - 5*o - 6 + 36.
-5*(o - 1)*(o + 2)*(o + 3)
Let x be (-3)/(-91)*1414/303. Factor x - 8/13*a - 10/13*a**2.
-2*(a + 1)*(5*a - 1)/13
Let s be (120/(-5) + (1 - -3))/(46/(-23)). Suppose -7/3*j**2 + 1/6*j**3 + s*j - 12 = 0. What is j?
2, 6
Let b(x) = x**3 + 13*x**2 - 67*x + 17. Let d be b(-17). Suppose 0*l + 4/7*l**2 - 4/7*l**3 - 2*l**5 + d - 31/7*l**4 = 0. What is l?
-2, -1/2, 0, 2/7
Find k such that 0*k + 5/4*k**2 - 5/4*k**5 + 5/4*k**3 + 0 - 5/4*k**4 = 0.
-1, 0, 1
Let p(o) be the third derivative of -o**8/4480 + o**7/1680 - o**4/6 + 14*o**2. Let w(n) be the second derivative of p(n). Let w(l) = 0. What is l?
0, 1
Let p(l) be the second derivative of -l**6/300 + l**5/300 + l**4/30 - l**3/10 + 13*l**2 + 25*l. Let i(x) be the first derivative of p(x). Factor i(y).
-(y - 1)**2*(2*y + 3)/5
Determine v so that -1/7*v**2 + 0*v + 36/7 = 0.
-6, 6
Find f such that 43*f**2 + 4*f**3 + f**3 + 2*f**3 + 3*f**3 + 20 + 65*f + 12*f**2 = 0.
-4, -1, -1/2
Let l(h) = -3*h**2 - 18*h + 9. Let g(m) = 2*m**2 + 9*m - 5. Let z(s) = 9*g(s) + 5*l(s). Solve z(r) = 0 for r.
0, 3
Factor 9/4*j**4 - 3/4*j**5 + 0 + 0*j + 18*j**3 + 21*j**2.
-3*j**2*(j - 7)*(j + 2)**2/4
Let o(l) be the second derivative of -l**7/84 - 17*l**6/15 + 143*l**5/40 + 103*l**4/12 - 71*l**3/3 - 70*l**2 - 8*l + 7. What is d in o(d) = 0?
-70, -1, 2
Let a be ((-12)/(-15))/(-4) - (-96)/30. Let t(d) be the second derivative of -3*d + 1/36*d**4 + 0 + 0*d**2 + 0*d**a + 1/120*d**5. Factor t(z).
z**2*(z + 2)/6
Factor 14/13*f**2 + 30/13*f + 2/13*f**3 + 18/13.
2*(f + 1)*(f + 3)**2/13
Let b(c) be the second derivative of -37*c**4/12 - 13*c**3/6 + 12*c**2 + 4*c. Let g(f) = -204*f**2 - 72*f + 132. Let q(r) = -28*b(r) + 5*g(r). Factor q(d).
4*(d + 1)*(4*d - 3)
Let f(u) = 4*u**3 + u**2 - 2*u + 2. Let s be f(1). Determine i, given that 1 - 1 + 19*i**2 - 5*i**4 + 5*i**3 - s*i**5 - 14*i**2 = 0.
-1, 0, 1
Let g = -3 - -7. Suppose g - 1 = r. Suppose -5*s**5 + 4*s**r - 8 + s**5 - s + 16*s**2 + 4*s**3 - 8*s**4 - 3*s = 0. Calculate s.
-2, -1, 1
Let a(b) be the third derivative of b**9/100800 + b**8/8400 + b**7/1680 + b**6/600 + 7*b**5/60 + 18*b**2. Let r(d) be the third derivative of a(d). Factor r(s).
3*(s + 1)**2*(s + 2)/5
Let a(l) = -3*l - 8. Let r be (6 + -14)*(-3 + (-14)/(-4)). Let m be a(r). Suppose 5/2*k**4 - 10*k**2 + m*k - k**3 + 0 = 0. What is k?
-2, 0, 2/5, 2
Factor -4*o**2 + 793*o - 693*o - 165 - 171.
-4*(o - 21)*(o - 4)
Let j(r) = -4*r**3 - 12*r + 8. Let c(o) = 2*o. Let n(y) = 12*c(y) + j(y). Determine l so that n(l) = 0.
-1, 2
Let l(m) be the second derivative of -m**4/30 + 4*m**3/45 - m**2/15 + 42*m. Factor l(i).
-2*(i - 1)*(3*i - 1)/15
Let i(c) = c**2 - 20*c + 32. Let o be i(18). Let z be (14/21)/(o/(-3)). Solve -8*w**3 - z + 32*w**4 - 18*w**2 - 11/2*w = 0 for w.
-1/4, 1
Let q(v) = 3*v**2 + 14*v - 16. Let a be q(7). Let h = a + -227. Find z such that 0 + 0*z + 1/3*z**5 - 1/3*z**h + z**3 - z**4 = 0.
0, 1
Let b(u) be the first derivative of u**8/1680 + u**7/840 - u**6/120 - u**5/120 + u**4/12 - 26*u**3/3 + 3. Let n(t) be the third derivative of b(t). Factor n(y).
(y - 1)**2*(y + 1)*(y + 2)
Let j(s) be the first derivative of 2 - 1/540*s**5 + 0*s**4 + 0*s + 0*s**2 - 1/1620*s**6 - 1/3*s**3. Let x(m) be the third derivative of j(m). Factor x(d).
-2*d*(d + 1)/9
Let n(d) be the third derivative of d**6/204 - 7*d**5/510 + d**4/102 - 532*d**2. Find i such that n(i) = 0.
0, 2/5, 1
Let y be (-4)/(2 - (4 + -1)). Suppose -z = -y*z - 27. Let r(x) = -8*x**3 - 8*x**2. Let f(w) = 17*w**3 + 16*w**2 - w. Let d(q) = z*r(q) - 4*f(q). Factor d(l).
4*l*(l + 1)**2
Let k(t) be the first derivative of -9*t**4/20 + 13*t**3/5 - 6*t**2/5 + 110. Factor k(c).
-3*c*(c - 4)*(3*c - 1)/5
Let 0 + 48/5*c + 92/5*c**3 + 4/5*c**5 + 32/5*c**4 + 112/5*c**2 = 0. What is c?
-3, -2, -1, 0
Let g = 31 + -31. Let y(l) be the third derivative of 1/9*l**3 + 0*l**6 + 1/315*l**7 + 0 + 0*l + 4*l**2 - 1/45*l**5 + g*l**4. Factor y(s).
2*(s - 1)**2*(s + 1)**2/3
Suppose -3*u - 18 = -2*u. Let m be (-40)/u - (-14)/(-63). Suppose 2/3*n**m + 0*n + 0 = 0. What is n?
0
Let d = 264 + -18479/70. Let r(t) be the third derivative of 7*t**2 + 0*t - 1/40*t**6 + 0*t**4 + 0*t**3 + 0 + d*t**7 + 0*t**5. Factor r(y).
3*y**3*(y - 1)
Let p(u) be the first derivative of -4 - 1/120*u**5 - 1/24*u**4 - 1/12*u**3 + 0*u + 1/2*u**2. Let y(