/3
Let k(i) = -12*i**2 + 107*i - 100. Let n(g) = 5*g**2 - 53*g + 50. Let l(m) = -4*k(m) - 10*n(m). Factor l(v).
-2*(v - 50)*(v - 1)
Let q(r) = r**3 - r**2 - 2*r + 2. Let j be q(2). Solve 4*u**2 - 6*u**2 + 2*u**j - 5*u + 5*u**3 = 0.
-1, 0, 1
Suppose -2*d = 1 - 5. Suppose 27*j = -31*j + 25*j. Solve -2/7*u**5 + 0 + j*u - 2/7*u**3 + 0*u**d - 4/7*u**4 = 0 for u.
-1, 0
Suppose -5*x = -4*i + 46, x - 83 + 11 = -5*i. Suppose -i*v = 3*v. Determine p, given that 3/5 + 3/5*p**4 + v*p + 0*p**3 - 6/5*p**2 = 0.
-1, 1
Let h = -215 + 1291/6. Let v be 2/(-36) + 4/18. Let -v*d + 1/3 - 1/2*d**2 + 1/6*d**3 + h*d**4 = 0. What is d?
-2, -1, 1
Let t(s) be the third derivative of -s**8/140 - s**7/1050 + 67*s**6/200 - 209*s**5/150 + 21*s**4/10 - 4*s**3/3 + 53*s**2. Suppose t(q) = 0. What is q?
-5, 1/4, 2/3, 2
What is x in -20/3 - 16/3*x**3 - 32*x**2 - 28*x = 0?
-5, -1/2
Let y be ((-5 - (-3 + -3)) + 0)*0. Let -10/13*u**2 + 8/13*u + y + 2/13*u**3 = 0. Calculate u.
0, 1, 4
Let 1/9*c**2 + 0*c + 0 - 1/9*c**3 - 2/3*c**4 = 0. Calculate c.
-1/2, 0, 1/3
Let k(i) be the third derivative of -i**9/7560 - i**8/1680 - i**7/1260 - 15*i**4/8 - 2*i**2 + i. Let d(g) be the second derivative of k(g). Factor d(n).
-2*n**2*(n + 1)**2
Let q(j) be the second derivative of -22*j - 1/40*j**5 - 1/120*j**6 + 5/3*j**3 + 1/4*j**4 + 0 + 4*j**2. Determine i so that q(i) = 0.
-2, 4
Let o(f) be the third derivative of 5*f**2 + 0*f + 0 - 4/3*f**3 + 1/2*f**4 + 2/15*f**5 + 1/84*f**8 - 2/15*f**6 + 0*f**7. Factor o(k).
4*(k - 1)**3*(k + 1)*(k + 2)
Factor -34/11*m - 76/11 + 40/11*m**2 - 2/11*m**3.
-2*(m - 19)*(m - 2)*(m + 1)/11
Let j(i) be the first derivative of -i**8/336 + i**7/56 - i**6/36 + 28*i**3/3 - 22. Let q(h) be the third derivative of j(h). Find v, given that q(v) = 0.
0, 1, 2
Let i(u) be the first derivative of 6 + 1/5*u**2 + 2/15*u**3 + 2*u + 1/30*u**4. Let g(c) be the first derivative of i(c). Factor g(y).
2*(y + 1)**2/5
Let d(a) = -a**3 - 3*a**2 - a + 2. Let f be d(-2). Suppose f*i - 45 = -5*i. Find y such that y**5 + i*y - 10*y + y - y**3 = 0.
-1, 0, 1
Let v(g) be the second derivative of 2*g**6/15 + 4*g**5/5 + 2*g**4/3 - 8*g**3/3 - 6*g**2 - 10*g + 5. Factor v(t).
4*(t - 1)*(t + 1)**2*(t + 3)
Let z(x) be the first derivative of -x**4/18 + 14*x**3/27 - 14*x**2/9 + 16*x/9 - 190. Find w, given that z(w) = 0.
1, 2, 4
Let z(y) = -12*y**3 - 258*y**2 + 750*y - 21. Let l(o) = -o**3 - 26*o**2 + 75*o - 2. Let w(m) = 21*l(m) - 2*z(m). Factor w(q).
3*q*(q - 5)**2
Let a(w) = 58*w**5 - 702*w**4 + 1692*w**3 + 2180*w**2 + 786*w + 94. Let z(l) = l**5 + l + 1. Let q(i) = 2*a(i) - 8*z(i). Determine m so that q(m) = 0.
-1/3, 5, 9
Let k(c) be the second derivative of 1/4*c**2 + 42*c + 0 - 1/48*c**4 - 1/24*c**3. Factor k(z).
-(z - 1)*(z + 2)/4
Let x be (-156)/(-72) + (-2)/12. Factor 0*k**3 + 9*k**2 - 3*k**3 - 4*k**2 + k**x.
-3*k**2*(k - 2)
Let g(m) be the third derivative of m**6/120 - m**5/20 - 3*m**4/8 + 9*m**3/2 + 3*m**2 + 8. Factor g(c).
(c - 3)**2*(c + 3)
Suppose 3*p = -2*z + 70, 2*p + 3*p - 121 = z. Suppose p = 5*s + 4. Suppose -s*m**3 + 7*m**3 + 6 + m**2 - 3*m - 7*m**2 = 0. What is m?
-1, 1, 2
Let g(a) = a**2 - 13*a - 14. Let i = 97 + -83. Let z be g(i). Solve z + 4/11*l**2 + 0*l + 2/11*l**3 = 0.
-2, 0
Let q(v) be the second derivative of v**5/90 + v**4/18 + v**3/9 - 9*v**2 - 17*v. Let z(g) be the first derivative of q(g). Factor z(c).
2*(c + 1)**2/3
Suppose 0 = 3*a - 2 - 4. Suppose z - 2*m = 4, 4*z = -2*m + 9 + 7. Factor -a + 6*v**3 - 4*v**z + 8*v**3 + 9*v - 18*v**2 + v.
-2*(v - 1)**3*(2*v - 1)
Let j(v) be the first derivative of -44/3*v**3 + 28*v**2 - 16*v + 11 + 5/2*v**4. Factor j(a).
2*(a - 2)**2*(5*a - 2)
Let i = -1692 + 1695. Determine u, given that -2/9*u + 0 - 4/9*u**2 - 2/9*u**i = 0.
-1, 0
Let l(o) = -3*o**2 - o - 105. Let h(p) = -p**2 + p - 5. Let r(w) = -10*h(w) + 2*l(w). Factor r(s).
4*(s - 8)*(s + 5)
Let i(w) be the third derivative of -w**8/112 - w**7/7 - w**6/10 + 21*w**5/10 - 27*w**4/8 + 115*w**2. Find u, given that i(u) = 0.
-9, -3, 0, 1
Let n(h) be the second derivative of -h**4/30 + 7*h**3/10 + 11*h**2/10 - 41*h. What is g in n(g) = 0?
-1/2, 11
Let g(x) be the third derivative of -1/15*x**6 + 1/6*x**4 + 1/6*x**5 + 0*x + 0*x**3 + 7*x**2 + 0 - 1/35*x**7. Determine s, given that g(s) = 0.
-2, -1/3, 0, 1
Let f(y) be the first derivative of 2*y**5/45 - 2*y**4/9 + 2*y**3/9 + 4*y**2/9 - 8*y/9 + 9. Solve f(a) = 0.
-1, 1, 2
Let v = -96 - -100. Factor 72*f - 76*f**2 + 32*f**3 + 2*f**4 + 46*f**2 - 6*f**v - 54*f**2.
-4*f*(f - 3)**2*(f - 2)
Let a be (39/156)/((-2)/(-16)). Let n(o) be the first derivative of -o**4 - 4/3*o**3 + o**a + 4 + 1/3*o**6 + 2*o + 2/5*o**5. Find c, given that n(c) = 0.
-1, 1
Let r(d) = -39*d + 61. Let c be r(4). Let x = c + 95. Suppose -9/5*h**2 + 6/5*h + x = 0. What is h?
0, 2/3
Factor 5*a**5 + 125*a**4 + 624*a**3 - 135*a**3 + 273*a**3 - 47*a**3 - 845*a**2.
5*a**2*(a - 1)*(a + 13)**2
Factor 215*a**2 - 3*a**3 + 567*a + 891 + 0*a**3 - 134*a**2.
-3*(a - 33)*(a + 3)**2
Suppose -8*p + 10*p = 4. Let m(x) be the second derivative of 0*x**p + 3/70*x**5 + 0*x**3 - 4*x + 1/21*x**4 + 0. Factor m(a).
2*a**2*(3*a + 2)/7
Let k(g) be the second derivative of -g**6/210 + g**5/28 - g**4/14 - 2*g**3/21 + 4*g**2/7 + 4*g + 2. Factor k(n).
-(n - 2)**3*(n + 1)/7
Let w(k) be the second derivative of -3*k**5/100 - 21*k**4/20 - 12*k**3 - 30*k**2 + 18*k + 4. Factor w(v).
-3*(v + 1)*(v + 10)**2/5
Factor -5/6*w + 1 + 1/6*w**2.
(w - 3)*(w - 2)/6
Find b, given that 6*b - 25*b**5 - 16 - 20*b**3 + 331*b**4 + 20*b**2 + 10*b + 29*b**5 - 335*b**4 = 0.
-2, -1, 1, 2
Suppose -8*q - 32 = -12*q. Let f(x) be the first derivative of -3 + 14/3*x**3 - 3/2*x**4 - q*x + 0*x**2. Suppose f(o) = 0. What is o?
-2/3, 1, 2
Let n = -74 - -192. Let q(p) = -1 + 1 + n*p**3 - 116*p**3 - 9*p**2. Let d(c) = 2*c**3 - 10*c**2. Let k(z) = 5*d(z) - 6*q(z). Factor k(w).
-2*w**2*(w - 2)
Let c(f) be the third derivative of -f**5/150 + f**4/6 + 11*f**3/15 - 110*f**2. Let c(w) = 0. What is w?
-1, 11
Let g = 31 + -44. Let b = g - -16. Factor -3 - 5*c - 1 + 2*c**3 + 3 + b*c + c**4.
(c - 1)*(c + 1)**3
Suppose 3*o + 0*f - 9 = 3*f, -2 = f. Let w be (-6 - -3 - -4)*(o - 1). Factor w + 1/5*d**3 + 1/5*d**2 + 0*d.
d**2*(d + 1)/5
Suppose -2*d + 17 = r, d = -3*r + 7*r - 95. Let z = r + -11. Determine b, given that -4/5 + 14/5*b**5 - 16*b**2 - z*b**4 + 6*b + 20*b**3 = 0.
2/7, 1
Factor 13/2*w**3 - 2*w**4 - 11/2*w**2 + w + 0.
-w*(w - 2)*(w - 1)*(4*w - 1)/2
Let m be 297/(-45) + (5 - 4/(-1)). Factor m*d + 2/5*d**2 + 2.
2*(d + 1)*(d + 5)/5
Let h(s) = s**2 - 2*s + 1. Let k(w) = 5*w**3 - 7*w**2 + w + 1. Let c(x) = h(x) - k(x). Determine y so that c(y) = 0.
0, 3/5, 1
Let n be (-711)/(-395) + ((-4)/5 - -1). Let s(h) be the second derivative of 11/6*h**4 - n*h - h**2 - 3/4*h**5 + 0 - 5/6*h**3. Factor s(o).
-(o - 1)*(3*o - 2)*(5*o + 1)
Suppose 5*h = -1 + 31. Suppose 4*q - h = 2*z + 3*z, -2*z = -q. Determine d so that 4*d + 1/2*d**q - 3/2*d**2 - 2 - d**3 = 0.
-2, 1, 2
Suppose x + 4 = 2*k, 11*k - 9*k - 20 = 5*x. What is i in 2/3*i**2 + 10/9*i**3 - 2/9*i**5 + 2/9*i**4 + 0*i + k = 0?
-1, 0, 3
Let u(h) = 7*h**3 + h**2 - 22*h + 29. Let f(r) = -4*r**3 - r**2 + 11*r - 15. Let k(i) = -5*f(i) - 3*u(i). Find y such that k(y) = 0.
-3, 1, 4
Let j = -1/1263 - -1265/2526. Factor 0 - b**2 + 7/8*b**3 + 5/8*b**4 - j*b.
b*(b - 1)*(b + 2)*(5*b + 2)/8
Let z be (-7 + -2 + 0)/((-6)/(-4)). Let a be 3 + 13/z + 1/(-2). Factor 0 + 1/3*w + a*w**2.
w*(w + 1)/3
Let i be 9/(-6)*(16/(-3))/8*3. Factor 9/4 + i*y - 21/4*y**2.
-3*(y - 1)*(7*y + 3)/4
Let d(b) = 15*b**4 + 21*b**3 + 15*b**2 - 9*b + 9. Let z(s) = -8*s**4 - 11*s**3 - 7*s**2 + 4*s - 4. Let o(h) = -4*d(h) - 9*z(h). What is w in o(w) = 0?
-1, -1/4, 0
Let c be 21/28*(-360)/(-567). Let u(q) be the first derivative of -2/35*q**5 - 2/7*q**2 + 0*q + 8 - 3/14*q**4 + c*q**3 + 1/21*q**6. Suppose u(d) = 0. What is d?
-2, 0, 1
Factor -3*m**3 - 56 + 32*m - m**3 - 24 - 112 + 20*m**2.
-4*(m - 4)**2*(m + 3)
Let u(g) be the third derivative of g**5/660 - g**4/88 + g**3/33 - 3*g**2 + 5. What is w in u(w) = 0?
1, 2
Factor 8/17 + 10/17*t**2 - 24/17*t.
2*(t - 2)*(5*t - 2)/17
Let m(k) be the third derivative of k**7/168 + k**6/12 + 7*k**5/48 - 15*k**4/4 - 30*k**3 - 332*k**2. Find s, given that m(s) = 0.
-4, -3, 3
Let r(a) = -23*a**2 - 78*a + 77. Let w(g) = 3