t**4 - 7/5*t**5 + 2/5*t**3 + 0 + f*t + 0*t**2 = 0.
-2/7, 0, 1
Let v(j) be the third derivative of j**7/105 - j**6/15 + j**5/10 + j**4/3 - 4*j**3/3 + 20*j**2. Factor v(b).
2*(b - 2)**2*(b - 1)*(b + 1)
Let r = -10 + 11. Let a be (r + -1)/(-3 - -4). Find q such that 0*q**3 + a*q + 0 - 1/4*q**2 + 7/4*q**4 + 3/2*q**5 = 0.
-1, -1/2, 0, 1/3
Let f = 4246/7 - 606. Suppose -2/7*z**3 + 6/7*z**2 + 0 - f*z = 0. What is z?
0, 1, 2
Solve 4/7*x + 0 + 1/7*x**3 + 4/7*x**2 = 0.
-2, 0
Let r = 9/83 + 103/581. Factor -6/7*o**3 + 0 - 2/7*o**4 - 6/7*o**2 - r*o.
-2*o*(o + 1)**3/7
Let g be ((-40)/12)/5 + 1. Let a = 13/12 - g. Let 1/4*c + a*c**3 - 1/4*c**4 - 3/4*c**2 + 0 = 0. Calculate c.
0, 1
Let p = -4 + 7. Factor p*z + z - z - 2*z**5 + 4*z**4 - 4*z**2 - z.
-2*z*(z - 1)**3*(z + 1)
Let i(t) = -t**2 - t - 1. Let w(l) be the second derivative of -7*l**4/12 - l**3/2 - 5*l**2/2 + 3*l. Let f(s) = 5*i(s) - w(s). Factor f(p).
2*p*(p - 1)
Let g be (-10)/(-65) + -5 + 404/78. Factor 0*m + 0 + g*m**2 - 2/3*m**4 - 1/3*m**3.
-m**2*(m + 1)*(2*m - 1)/3
Let v(c) = 3*c + 27. Let i be v(-9). Let -2/7*t**2 + i*t + 2/7 = 0. What is t?
-1, 1
Let h(g) = -3*g**3 - 9*g**2 + 6*g + 6. Let m(s) be the first derivative of -s**4/4 - s**3/3 + s**2/2 + s + 8. Let l(x) = h(x) - 6*m(x). Factor l(c).
3*c**2*(c - 1)
Let u(j) = -j**3 - 3*j**2 - 5*j - 4. Let h be u(-2). Let 1/2*q**3 - 1 - h*q**2 + 5/2*q = 0. What is q?
1, 2
Let w be ((-8)/(-24))/(1/18). Factor 3*m**4 + m**4 - 2*m**4 + 4*m - w*m**2.
2*m*(m - 1)**2*(m + 2)
What is v in 7/5*v**4 - 27/5*v**2 - 2*v + 0 + 6*v**3 = 0?
-5, -2/7, 0, 1
What is h in -16/3*h - 98/3*h**5 + 0 - 136/3*h**2 - 350/3*h**4 - 124*h**3 = 0?
-2, -1, -2/7, 0
Let v(z) be the first derivative of -z**4/4 - z**3/3 + 9. Factor v(u).
-u**2*(u + 1)
Let y = -43/51 + 54/17. Let 0 + y*o**4 - 16/3*o**2 + 4/3*o + 5/3*o**3 = 0. Calculate o.
-2, 0, 2/7, 1
Let a(i) = -i**5 + i**4 - i**2 - i + 1. Let u(d) = 9*d**5 + 9*d**4 + 27*d**3 + 27*d**2 + 12*d - 6. Let y(s) = -6*a(s) - u(s). Suppose y(x) = 0. What is x?
-2, -1, 0
Let b(q) = -5*q - 9. Let t be b(-9). Factor 13 + 238*z**3 - 88*z + 98*z**4 + 0 + t*z**2 + 3.
2*(z + 1)*(z + 2)*(7*z - 2)**2
Solve -43*d - 142*d**2 + 9 + 13 - 42*d**3 + 3*d + 2 = 0.
-3, -2/3, 2/7
Let n = 8/23 - -22/69. Solve 0 - 4/3*z**3 + 7/3*z**4 - n*z + 2*z**5 - 7/3*z**2 = 0.
-1, -2/3, -1/2, 0, 1
Let u be ((-1)/(-6))/(9/12*1). Find s, given that 0*s**2 - u*s + 2/9*s**3 + 0 = 0.
-1, 0, 1
Let h(f) be the second derivative of -f**8/6720 + f**7/840 - f**6/240 + f**5/120 - f**4/6 + 2*f. Let b(z) be the third derivative of h(z). Factor b(u).
-(u - 1)**3
Let j be ((-24)/56)/((-1)/7). Let f(x) be the first derivative of -2 + 0*x + 9/4*x**4 - 4/5*x**5 + 1/2*x**2 - 2*x**j. Suppose f(p) = 0. What is p?
0, 1/4, 1
Let f(y) be the second derivative of -y**6/105 + y**5/35 + 2*y**4/7 + 2*y**3/3 + 5*y**2/7 - 15*y. Factor f(w).
-2*(w - 5)*(w + 1)**3/7
Let n(f) be the second derivative of -f**7/14 + f**6/5 - 3*f**5/20 - 2*f. Determine i so that n(i) = 0.
0, 1
Let y = 75 + -1501/20. Let b = 47/140 + y. Let -4/7*c + b + 2/7*c**2 = 0. What is c?
1
Let d(q) be the first derivative of -1 - 1/10*q**2 + 1/20*q**4 + 1/5*q - 1/15*q**3. Factor d(w).
(w - 1)**2*(w + 1)/5
Let b(r) be the first derivative of 2*r**6/15 + 2*r**5/5 - 33*r**4/10 + 98*r**3/15 - 29*r**2/5 + 12*r/5 + 29. Suppose b(z) = 0. What is z?
-6, 1/2, 1
Suppose 4*x = 3*x - 2. Let f be x/(-6) + (-6)/72. Solve 1/4*h + f*h**2 - 1/2 = 0.
-2, 1
Let s(m) be the third derivative of -m**9/7560 + m**7/1260 + m**4/12 + 4*m**2. Let h(p) be the second derivative of s(p). Find r, given that h(r) = 0.
-1, 0, 1
Let r = -134/5 - -27. Let -1/5*q**3 + 0 - 1/5*q**4 + 1/5*q + r*q**2 = 0. Calculate q.
-1, 0, 1
Let c be 0/(6*-1*(-3)/3). What is m in 0*m - 1/4*m**3 + c - 1/4*m**2 = 0?
-1, 0
Let d be 17/(-17) - ((-108)/15)/3. Factor d*k + 1/5*k**3 - k**2 - 3/5.
(k - 3)*(k - 1)**2/5
Let j = 1046/9 - 116. Find k, given that 0 + 2/3*k**3 + 2/3*k**2 + 2/9*k**4 + j*k = 0.
-1, 0
Let l(n) be the second derivative of -n**7/14 + 4*n**6/15 + n**5/4 - 5*n**4/2 + 14*n**3/3 - 4*n**2 - 39*n. Solve l(z) = 0 for z.
-2, 2/3, 1, 2
Solve -12*r - 2*r**2 + 6 + 13*r - 7*r + 2 = 0.
-4, 1
Let m = -18950/11 - -137820/77. Let w be ((-28)/(-42))/(1/3). Factor m*k**3 + 80/7*k + 14*k**5 - 8/7 - 290/7*k**w - 50*k**4.
2*(k - 1)**3*(7*k - 2)**2/7
Factor 5*y**4 + 32*y**2 + 16*y**3 - 46*y**3 - 7*y**2.
5*y**2*(y - 5)*(y - 1)
Let t(c) be the first derivative of c**7/42 + c**6/10 + 3*c**5/20 + c**4/12 - 2*c + 4. Let y(o) be the first derivative of t(o). Factor y(f).
f**2*(f + 1)**3
Factor p**2 + 6 + 2*p**3 + 7*p**2 + 10*p + 0*p - 2.
2*(p + 1)**2*(p + 2)
Let q(s) be the first derivative of s**4/9 - 2*s**3/9 - 2*s**2/9 - 9. Solve q(k) = 0.
-1/2, 0, 2
Factor -6*r**3 + 0*r**3 + 2*r**2 + 0*r**3 - 4*r**4 + 2*r**2.
-2*r**2*(r + 2)*(2*r - 1)
Suppose -k = -3*k - 5*u + 64, 0 = -4*u. Let w be (2 + k/(-12))*-1. Factor w*p**5 + 4/3*p**2 + 2/3 - 2*p**4 - 2*p + 4/3*p**3.
2*(p - 1)**4*(p + 1)/3
Determine h, given that -3*h**3 - 5*h**2 - h**3 - 5*h**3 - 5*h**4 - h**3 = 0.
-1, 0
Let l be 2/(-3) - 11/(-3). Factor 162/5*m**l + 54/5*m**4 + 88/5*m + 36*m**2 + 16/5.
2*(m + 1)*(3*m + 2)**3/5
Let n(p) be the third derivative of 0*p + 0*p**4 - 4*p**2 - 1/270*p**5 + 1/27*p**3 + 0. Suppose n(z) = 0. Calculate z.
-1, 1
Let r(d) be the second derivative of 5*d**7/14 - d**6/6 - d**5/2 + 7*d. Factor r(g).
5*g**3*(g - 1)*(3*g + 2)
Suppose -r + c = -2 - 5, -c = 0. Let j be (1/(-1))/(7/(-28)). Factor -6*t**3 + 3*t**4 - 14*t**2 + j + 5*t + t + r*t**4.
2*(t - 1)**2*(t + 1)*(5*t + 2)
Factor -1/4*q**2 - 5/2*q - 25/4.
-(q + 5)**2/4
Let d = -12 - -11. Let i(n) = 2*n**4 - n**3 - 4*n**2 - n - 1. Let p(y) = -y**4 - y**3 - y**2 - y - 1. Let f(x) = d*i(x) + p(x). Solve f(z) = 0 for z.
-1, 0, 1
Suppose b + 10 = 6*s - 2*s, -4*s = -5*b - 18. Suppose 6*o**s - 39*o**5 - o**4 + 2*o + 3*o**3 - o**2 + 38*o**5 = 0. What is o?
-1, 0, 2
Suppose u - h + 2 = 0, 0*h - h = -5*u + 10. Let g(j) be the third derivative of 0*j - 2*j**2 - 1/48*j**5 + 1/120*j**6 + 0*j**u + 0 + 1/96*j**4. Factor g(n).
n*(n - 1)*(4*n - 1)/4
Let x be 3 + (-4)/(3000/2245). Let i(r) be the third derivative of -1/30*r**4 + 1/15*r**3 + 0*r + x*r**5 + 0 - 2*r**2. Factor i(u).
2*(u - 1)**2/5
Let s(p) be the first derivative of 1/12*p**6 + 0*p**2 + 1/10*p**5 - 5 - 1/8*p**4 - 1/6*p**3 + 0*p. Suppose s(z) = 0. Calculate z.
-1, 0, 1
Let y(a) be the second derivative of -a**4/30 + a**3/5 - 56*a + 2. Factor y(b).
-2*b*(b - 3)/5
Let c(y) = 2*y**4 + 2*y**3 + 6*y**2 + 5*y - 5. Let o(x) = -x**4 - x**2 - x + 1. Let f(n) = -3*c(n) - 15*o(n). Factor f(t).
3*t**2*(t - 1)*(3*t + 1)
Let k(p) be the first derivative of p**5/25 - p**4/5 + p**3/3 - p**2/5 - 7. What is z in k(z) = 0?
0, 1, 2
Factor 3*c**2 - 4*c + c + 9*c**3 + 3*c.
3*c**2*(3*c + 1)
Let u(y) be the first derivative of y**7/1050 - y**5/150 + y**3/30 + y**2 + 4. Let o(m) be the second derivative of u(m). Suppose o(z) = 0. Calculate z.
-1, 1
Let s be 0 + 2/(-2) - (-1679)/511. What is z in 2/7*z**3 - s + 24/7*z - 12/7*z**2 = 0?
2
Let t(q) = -3*q**4 - 18*q**3 - 17*q**2 + 3*q + 5. Let o(h) = -7*h**2 + 1 - 2*h**2 - 9*h**3 - h**4 + 2 + 2*h. Let m(k) = -5*o(k) + 3*t(k). Factor m(p).
-p*(p + 1)**2*(4*p + 1)
Let q(i) be the second derivative of -i**5/100 + i**3/10 - i**2/5 - 2*i. Factor q(h).
-(h - 1)**2*(h + 2)/5
Let w(k) = -5*k - 51. Let l be w(-11). What is m in 3*m - 4/3*m**2 + 2/3 - 6*m**3 + 2/3*m**l + 3*m**5 = 0?
-1, -2/9, 1
Suppose 4*i + 1 = -3*w, 2*i - 4*w - 12 - 4 = 0. Factor j**i + 2*j + 0*j + 1 + 0*j.
(j + 1)**2
Let f(a) be the second derivative of a**7/210 - a**6/60 - a**5/20 + a**4/6 + 2*a**3/3 + 2*a**2 + 7*a. Let z(q) be the first derivative of f(q). Factor z(t).
(t - 2)**2*(t + 1)**2
Let d(b) be the second derivative of -b**6/15 + 4*b**5/5 - 4*b**4/3 + b**3/3 + 4*b. Let z(h) = -h**3 + h**2. Let i(a) = 2*d(a) + 20*z(a). Factor i(l).
-4*l*(l - 1)**3
Let v be (6/(-9))/(-7 + 1 + -1). Let s(g) be the third derivative of 0 - 1/210*g**5 + 0*g - v*g**3 - 1/28*g**4 - g**2. Factor s(p).
-2*(p + 1)*(p + 2)/7
Let h = -284759/360 + 791. Let w(y) be the third derivative of 0*y - 1/9*y**3 + 4*y**2 + 0 - h*y**6 + 1/24*y**4 + 0*y**5. Suppose w(x) = 0. What is x?
-2, 1
Let u(i) = i**2 - i. Let x(q) = 20*q**3 - q**2 + 6*q. Let t(d) = -6*u(d) - x(d). Suppose