 0*r + 0 + 4/7*r**4 + 0*r**3 - 4/7*r**2.
4*r**2*(r - 1)*(r + 1)/7
Let i(k) be the third derivative of k**10/10080 - k**8/1120 + k**6/240 + k**4/6 + k**2. Let h(t) be the second derivative of i(t). Find a, given that h(a) = 0.
-1, 0, 1
Suppose -5*k + 5*g - 5 = 0, -4*k - 2*g + 12 = -k. Suppose o - k = 1. Factor 0*t**3 - 2*t**4 + 2*t**3 - 4*t**o.
-2*t**3*(t + 1)
Let i be -7*(46/(-14) - -3). Suppose -2*o = i*o - 8. Factor -7*t**o - 4*t**4 + 5*t**4 + 6*t**2.
t**2*(t - 1)*(t + 1)
Let l(b) = -4*b**4 + 4*b**3 - 2*b**2 + 2*b. Let s(g) = 21*g**4 - 21*g**3 + 11*g**2 - 11*g. Let k(o) = -22*l(o) - 4*s(o). Find h, given that k(h) = 0.
0, 1
Suppose -t - 122 + 123 = 0. Suppose 2*l + 1/4*l**3 + 5/4*l**2 + t = 0. Calculate l.
-2, -1
Let g be (2/1 - 0) + -2. Let b = g - -3. Determine s so that 4*s**4 + 7*s**2 - 6*s**2 - b*s**3 - s**4 - s**5 = 0.
0, 1
Find f such that -3/8*f**3 + 0 - 9/4*f**2 - 15/8*f = 0.
-5, -1, 0
Let b(o) be the first derivative of 7 - 1/25*o**5 + 0*o - 1/20*o**4 + 1/10*o**2 + 1/15*o**3. Solve b(c) = 0 for c.
-1, 0, 1
Let w(f) = -17*f**2 - 20*f + 12. Let z(j) = 6*j**2 + 7*j - 4. Let l(g) = 3*w(g) + 8*z(g). Let l(c) = 0. What is c?
-2, 2/3
Let g(z) = z**2 - z - 1. Let h(a) = a. Let v(n) = 5*n**2 - 12*n - 1. Let o(k) = 5*h(k) + v(k). Let c(j) = -3*g(j) + o(j). Factor c(y).
2*(y - 1)**2
Let k be (3/(-6))/((-2)/280). Let o be 145/k + (-1)/(-2). Factor -6/7*f**2 - 2/7 - 10/7*f + o*f**3.
2*(f - 1)*(3*f + 1)**2/7
Let p = -14549/50 + 291. Let y(g) be the third derivative of 0 + 2*g**2 - 1/30*g**4 + 0*g - p*g**5 + 0*g**3 - 1/300*g**6. Factor y(j).
-2*j*(j + 1)*(j + 2)/5
Suppose -32 = -3*r + 4*i, 4*r = -3*i + 1 - 0. Let t(j) be the second derivative of -1/21*j**3 + 0 + j + 0*j**2 - 1/42*j**r. Let t(s) = 0. Calculate s.
-1, 0
Factor -1/5*d**2 - 1/5*d**3 + 1/5 + 1/5*d.
-(d - 1)*(d + 1)**2/5
Let z(v) be the second derivative of 32/3*v**3 + 0 - 3*v - 16/3*v**2 + 14/3*v**5 - 17/15*v**6 - 88/9*v**4 + 1/9*v**7. What is c in z(c) = 0?
2/7, 1, 2
Let j(h) be the second derivative of -h**6/20 + h**5/60 + 13*h. Factor j(n).
-n**3*(9*n - 2)/6
Let j = 355/2 - 177. Factor -s**2 - 1 - 2*s**3 + 5/2*s - j*s**5 + 2*s**4.
-(s - 2)*(s - 1)**3*(s + 1)/2
Let r(n) be the first derivative of n**6/3 + 2*n**5/5 - 2*n**4 - 8*n**3/3 - 25. Factor r(f).
2*f**2*(f - 2)*(f + 1)*(f + 2)
Suppose 627 = -0*g + 3*g - 3*l, 4*g - 846 = 2*l. Let t = -1922/9 + g. Factor -10/9*x - 2/9*x**3 - t - 8/9*x**2.
-2*(x + 1)**2*(x + 2)/9
Factor 0 - 1/6*p**3 + 0*p**2 + 0*p**4 + 1/6*p**5 + 0*p.
p**3*(p - 1)*(p + 1)/6
Let a = 19 + -6. Suppose -15*o = -a*o. What is h in 5/3*h**2 + o - 5/3*h**4 + 2/3*h - 2/3*h**3 = 0?
-1, -2/5, 0, 1
Let d(v) = -3*v**3 + 4*v**2 + v - 2. Let r(k) = 2*k**3 - 3*k**2 + 1. Let s(a) = -3*d(a) - 4*r(a). Factor s(q).
(q - 1)**2*(q + 2)
Let n = 852 + -4244/5. Factor -n*d**3 - 48/5*d**2 - 64/5*d - 32/5 - 2/5*d**4.
-2*(d + 2)**4/5
Let g(j) be the first derivative of -4*j**5/5 + 8*j**4 - 20*j**3 - 16*j**2 + 64*j - 9. Find k, given that g(k) = 0.
-1, 1, 4
Let a(z) be the first derivative of -4*z**2 - 1 - 2/3*z**3 - 8*z. Suppose a(j) = 0. Calculate j.
-2
Let a(m) be the second derivative of -m**7/3360 - m**6/1440 + m**5/240 - m**3/3 + 3*m. Let q(l) be the second derivative of a(l). Factor q(c).
-c*(c - 1)*(c + 2)/4
Let h(d) be the second derivative of -d**4/14 - 2*d**3/21 + d**2/7 - 4*d. Let h(r) = 0. Calculate r.
-1, 1/3
Let o(y) be the third derivative of -8*y**2 + y**4 - 4/3*y**3 + 0 + 0*y - 13/30*y**5 - 1/105*y**7 + 1/10*y**6. Factor o(b).
-2*(b - 2)**2*(b - 1)**2
Let q(w) be the third derivative of w**10/16800 - w**9/2880 + w**7/420 - w**5/12 + 10*w**2. Let a(c) be the third derivative of q(c). Factor a(f).
3*f*(f - 2)*(f - 1)*(3*f + 2)
Find y, given that 2*y**2 + 2*y**3 + 0*y**3 + 0*y**3 - 4*y**3 = 0.
0, 1
Let n(t) = t**3 - t + 6. Let f be n(0). Let w(d) = -d**3 + 5*d**2 + 5*d + 8. Let i be w(f). Factor 3*h**i + 2*h - 3*h**3 - h - h**2.
-h*(h - 1)*(3*h + 1)
Suppose 4*n - 4*l = 12, 8*l = n + 3*l + 1. Determine i so that 0*i**2 + 2/5*i**3 - 1/5 - 2/5*i + 1/5*i**n = 0.
-1, 1
Let l be (-14)/(-6) - (-1 + 2). Let a be (-2173)/(-795) - (-4)/(-10). Determine y so that l*y**3 + 2/3 - a*y - 8/3*y**4 + y**5 + 2*y**2 = 0.
-1, 2/3, 1
Let k(q) be the second derivative of q**6/105 + q**5/10 + 5*q**4/42 - q**3/3 - 6*q**2/7 - 10*q. Factor k(w).
2*(w - 1)*(w + 1)**2*(w + 6)/7
Suppose 5*t - 19 = -9. Let s(k) be the second derivative of -1/2*k**4 - 1/20*k**5 - 4*k**2 + 0 + 3*k - t*k**3. Let s(f) = 0. Calculate f.
-2
Let v(l) be the second derivative of l**6/15 + 7*l**5/10 + 3*l**4 + 20*l**3/3 + 8*l**2 - 11*l. Suppose v(q) = 0. Calculate q.
-2, -1
Let i(s) be the first derivative of 4*s**3/3 - 10*s**2 - 24*s + 8. Factor i(m).
4*(m - 6)*(m + 1)
Find s such that 1/5*s**2 + 0 - 1/5*s = 0.
0, 1
Suppose -j = 0, 5*j + 2 = 5*o - 23. Let x be (2/8)/(9/16). Factor -2/9*t**o + x*t**4 + 0 + 2/9*t + 0*t**3 - 4/9*t**2.
-2*t*(t - 1)**3*(t + 1)/9
Let m = 8 + -11. Let p = 6 + m. What is i in -10*i**3 + 3*i - 2*i + 16*i**2 + 4*i**p - 15*i + 4 = 0?
2/3, 1
Let d be (-2)/(-9) + (-2730)/(-1323). Solve 17/7*z**2 + 40/7*z**3 + 2/7*z + d*z**4 + 0 = 0 for z.
-2, -1/4, 0
Let c be (-12)/(-60) + 8/(-90). Let d(j) be the first derivative of -c*j**3 + 2/3*j + 1/6*j**2 + 2. Let d(l) = 0. What is l?
-1, 2
Let w(x) = -x**2 - x. Let z(y) = -43*y**2 - 46*y - 21. Let u(m) = -4*w(m) + z(m). Let f(c) = 11*c**2 + 12*c + 6. Let k(j) = 18*f(j) + 5*u(j). Factor k(t).
3*(t + 1)**2
Let x(i) be the second derivative of i**8/3360 - i**3/2 - i. Let h(g) be the second derivative of x(g). Factor h(k).
k**4/2
Let c(d) be the second derivative of 3/2*d**3 + 0 + 3*d**2 + 5*d + 1/4*d**4. Find n, given that c(n) = 0.
-2, -1
Suppose 3*t + 3 = g, g = 2*g - 3. Suppose 5*z + o - 14 = 0, 5*z - o = -t*o + 6. Solve b - 3*b + 0*b**z + 2*b**2 = 0 for b.
0, 1
Let u(w) be the second derivative of -w**7/315 + w**6/225 + w**5/50 - w**4/18 + 2*w**3/45 + w + 24. Factor u(y).
-2*y*(y - 1)**3*(y + 2)/15
Let s be 1/(-3)*(-6)/1. Let c(b) be the first derivative of 0*b**s + 1/18*b**3 + 3 - 1/6*b. Factor c(i).
(i - 1)*(i + 1)/6
Suppose 3*z = 6*z. Let r(s) be the second derivative of 1/60*s**6 + 0*s**5 + 0*s**2 + 0 + z*s**3 + 0*s**4 + 3*s. Factor r(i).
i**4/2
Factor 1/4*p**2 + 1/4*p - 1/4*p**3 - 1/4.
-(p - 1)**2*(p + 1)/4
Let y be (21/35)/((-2)/(-5)). Find s such that -2 + 0*s + y*s**2 + 1/2*s**3 = 0.
-2, 1
Let j(c) be the third derivative of -c**2 + 1/24*c**4 - 1/12*c**3 - 1/120*c**5 + 0*c + 0. Factor j(x).
-(x - 1)**2/2
Factor 0 + 0*k**2 + 0*k + 2/3*k**3.
2*k**3/3
Let c(p) be the first derivative of -p**6/6 + 5*p**4/2 - 20*p**3/3 + 15*p**2/2 - 4*p + 47. Factor c(z).
-(z - 1)**4*(z + 4)
Let o(t) be the second derivative of -7*t**7/9 - 224*t**6/45 - 361*t**5/30 - 127*t**4/9 - 76*t**3/9 - 8*t**2/3 - 21*t. Find a such that o(a) = 0.
-2, -1, -2/7
Let g(c) be the third derivative of -1/180*c**5 + 0 + 1/36*c**4 + 2*c**2 - 1/18*c**3 + 0*c. Factor g(m).
-(m - 1)**2/3
Find k, given that 1/5*k**4 + 0 - 4/5*k - 4/5*k**2 + 1/5*k**3 = 0.
-2, -1, 0, 2
Factor 0 + 4/7*z**2 + 0*z + 10/7*z**4 + 2*z**3.
2*z**2*(z + 1)*(5*z + 2)/7
Let b(f) = -f**2 - 12*f - 30. Let i be b(-8). Determine o so that 0 - 2/3*o - 1/3*o**i = 0.
-2, 0
Let -6*t**2 + 2*t**2 - 32*t**3 - 12*t**4 - 20*t**2 + 4 = 0. Calculate t.
-1, 1/3
Let g(j) be the second derivative of 3*j + 0 - 8/27*j**3 - 4/9*j**2 - 1/90*j**5 - 5/54*j**4. Suppose g(c) = 0. What is c?
-2, -1
Let j(m) be the second derivative of 0 + 0*m**3 + 0*m**5 + 1/60*m**6 + 0*m**2 - 3*m - 1/24*m**4. Factor j(x).
x**2*(x - 1)*(x + 1)/2
Let d be (-1)/((-4)/16*-1). Let f = -4 - d. Factor 4/7*j + 2*j**2 + f.
2*j*(7*j + 2)/7
Let v = 6 - -8. Let 8*x**2 - v*x**4 - 8*x**3 - 2*x**3 - 4*x**2 = 0. Calculate x.
-1, 0, 2/7
Let q(m) be the first derivative of -3*m**4/20 + 3*m**3/5 - 3*m**2/5 + 14. Factor q(c).
-3*c*(c - 2)*(c - 1)/5
Let l be 2/110*295 - (-5)/(-1). What is o in -2/11*o**2 + l*o - 2/11 = 0?
1
Let g(v) be the first derivative of 4*v**5/5 - 10*v**4 + 12*v**3 + 27. Factor g(m).
4*m**2*(m - 9)*(m - 1)
Suppose 10 = 2*a - s + 1, 3*s + 15 = 3*a. Solve -9*q**4 + 3*q - 45*q**2 + 6 - 8*q**4 + 57*q**3 + q**a - 5*q**4 = 0 for q.
-2/7, 1
Factor 0 + 1/4*f**5 + 0*f**2 + 3/4*f**4 + 0*f + 0*f**3.
f**4*(f + 3)/4
Let s(d) = -2*d**2 + d. Let o(q) be the second derivative of q**3/6 - 