u(v) be the first derivative of 9/2*v**6 + 0*v**2 - w - 6*v**4 + 0*v - 9/5*v**5 + 4*v**3. Let u(i) = 0. What is i?
-1, 0, 2/3
Let u(i) = i**3 + 5*i**2 - i - 5. Let r be u(-4). Suppose r = 2*p + 3*p. Solve p - 53*h**2 - 1 + 3*h + 0*h + 54*h**2 = 0.
-2, -1
Let q = 1/8073 - -1241/8073. Find c, given that -q*c**4 + 6/13*c**2 - 8/13 - 4/13*c**3 + 8/13*c = 0.
-2, 1
Let y(w) be the third derivative of w**8/3360 + 3*w**7/350 + w**6/15 - 3*w**5/100 - 27*w**4/80 - 114*w**2. Suppose y(l) = 0. Calculate l.
-9, -1, 0, 1
Suppose 39 = -5*i - a - a, 0 = -4*i + 2*a - 42. Let m be ((-84)/9)/7*i/8. What is f in f**4 - m*f**3 + 0 - 1/4*f**5 - 1/4*f + f**2 = 0?
0, 1
Let o(p) be the third derivative of -p**5/12 - 35*p**4/12 - 245*p**3/6 - 23*p**2 - 5. Determine i so that o(i) = 0.
-7
Let v(b) be the second derivative of 16*b**2 + 0 + b**5 + 5*b - 2/15*b**6 - 8/3*b**3 - 2*b**4. Solve v(h) = 0.
-1, 2
Let d(o) be the first derivative of 0*o**4 + 1/900*o**6 + 1/3*o**3 + 2 + 0*o**2 + 0*o + 1/150*o**5. Let b(a) be the third derivative of d(a). Factor b(u).
2*u*(u + 2)/5
Let w(m) be the third derivative of 7/40*m**6 + 0 - 13/20*m**5 - 25*m**2 - 3/8*m**4 + 0*m + 9*m**3 - 1/70*m**7. Solve w(a) = 0 for a.
-1, 2, 3
Let s(z) be the second derivative of -1/2*z**3 + 0 - 9*z - z**2 - 1/12*z**4. Suppose s(y) = 0. What is y?
-2, -1
Let q = -1649 + 1651. Find s, given that 2*s + 2/3*s**3 - 2/3 - 2*s**q = 0.
1
Let i(s) = 9*s**5 - 8*s**4 - 3*s**3 + 22*s**2 - 28*s + 3. Let q(h) = -13*h**5 + 12*h**4 + 5*h**3 - 34*h**2 + 42*h - 5. Let p(b) = -7*i(b) - 5*q(b). Factor p(v).
2*(v - 1)**4*(v + 2)
Let s(b) be the second derivative of -b**4/36 + 14*b**3/9 - 129*b - 2. Suppose s(o) = 0. What is o?
0, 28
Let p(k) = k**3 - 7*k**2 - 9*k + 8. Let g be p(8). Suppose -3*a + 9 - 3 = g. Suppose -5*f**4 + 7*f**4 - f**3 + f**5 + a*f**3 = 0. What is f?
-1, 0
Let f = -1554 + 4663/3. Factor l**2 + l + 1/3 + f*l**3.
(l + 1)**3/3
Let r be (1/(-3))/((-7)/42). Factor -9*b**2 + 5*b**2 - 6*b + 0*b**2 + 8 + 2*b**r.
-2*(b - 1)*(b + 4)
Let a be 202/(-13) - (-320 + 304). Solve 14/13*t**2 + 0 + 4/13*t**3 + 4/13*t - a*t**4 = 0 for t.
-1, -1/3, 0, 2
Let k(q) be the third derivative of q**6/780 + q**5/130 - 25*q**4/156 + 7*q**3/13 - 3*q**2 + 14*q. Factor k(y).
2*(y - 3)*(y - 1)*(y + 7)/13
Let -6*k**3 + 16235*k**2 + k**3 - 16205*k**2 - 25*k = 0. What is k?
0, 1, 5
Let v(f) = -6*f**2 + 40*f - 24. Let s be v(6). Let o(t) be the second derivative of 10*t - 1/48*t**4 + s + 1/4*t**2 - 1/24*t**3. Factor o(j).
-(j - 1)*(j + 2)/4
Let z(m) be the third derivative of -m**7/210 + 19*m**6/90 - 33*m**5/10 + 27*m**4/2 + 7*m**3/2 - 28*m**2. Let f(p) be the first derivative of z(p). Factor f(a).
-4*(a - 9)**2*(a - 1)
Let m(v) be the third derivative of v**8/84 - 2*v**7/105 - v**6/10 + v**5/15 + v**4/3 - 6*v**2 + 2. Factor m(w).
4*w*(w - 2)*(w - 1)*(w + 1)**2
Let q(g) = -5*g**4 + 160*g**3 - 420*g**2 + 240*g. Let b(u) = u**4 - 27*u**3 + 70*u**2 - 40*u. Let o(t) = 25*b(t) + 4*q(t). Find l such that o(l) = 0.
0, 1, 2, 4
Suppose 0 = v + 2*j + 12, -21*v + 18*v = -j - 6. Find z, given that v*z**3 - 3/4*z**2 + 0*z + 0 + 3/4*z**4 = 0.
-1, 0, 1
Let r be (3 + -1)*((-60)/(-8) + -5). Suppose 3*c = r*s, 0 = -2*s - 0*s + c. Let -1/2*u**5 - u**4 - 1/2*u**3 + 0*u + s + 0*u**2 = 0. What is u?
-1, 0
Suppose -s**4 - 2*s**2 + 3*s**2 - 134*s**5 + 3*s**2 - 4*s**3 + 262*s**5 - 127*s**5 = 0. Calculate s.
-2, 0, 1, 2
Let n(c) = c**2 - 4*c + 6. Let o be n(2). Suppose 8*v - o*v = 0. Factor v*k - 2/7*k**2 + 2/7.
-2*(k - 1)*(k + 1)/7
Suppose -1/5*j**3 + 1/5*j**4 + 0 + 0*j - 6/5*j**2 = 0. What is j?
-2, 0, 3
Let x(o) = -o**3 + 9*o**2 + 4*o - 33. Let v be x(9). Let j(a) be the third derivative of -1/90*a**5 + 0 + 0*a + a**2 + 0*a**v + 0*a**4. Let j(m) = 0. What is m?
0
Suppose 2*k = 2*g + 26, -362*g + 17 = 5*k - 361*g. Factor -1/5*o**5 - 8/5 - 38/5*o**2 - 28/5*o - 8/5*o**4 - k*o**3.
-(o + 1)**2*(o + 2)**3/5
Let c(z) = 12*z**2 + 1. Let t(s) = -59*s**2 - 17*s - 65. Let i(d) = 5*c(d) + t(d). Factor i(a).
(a - 20)*(a + 3)
Factor 1/2*j**2 + 0 - 5*j.
j*(j - 10)/2
Let d(m) = m**2 + m + 3. Let h(j) = -j**2 + 4*j - 3. Let f(i) = 2*i**2 - 10*i + 6. Let s(r) = -2*f(r) - 5*h(r). Let q(k) = 4*d(k) - 5*s(k). Factor q(v).
-(v - 3)*(v - 1)
Let x(o) = 6*o**3 + 3*o**2 + o - 1. Let u be x(-1). Let b = 7 + u. Factor -1 + 6 - 3*i**b - 1 - 2 - i.
-(i + 1)*(3*i - 2)
Let f(c) be the third derivative of -c**6/24 - c**5/8 + 5*c**3/12 + 10*c**2. Factor f(r).
-5*(r + 1)**2*(2*r - 1)/2
Let q(t) be the second derivative of t**5/5 - 47*t**4 + 4418*t**3 - 207646*t**2 + t + 59. Let q(f) = 0. Calculate f.
47
Let s(p) be the first derivative of 0*p + 1/12*p**2 + 5 - 1/15*p**5 + 1/9*p**3 - 1/24*p**4. Suppose s(l) = 0. Calculate l.
-1, -1/2, 0, 1
Let f(g) be the second derivative of g**6/900 - g**5/300 - g**3/6 - 8*g. Let d(q) be the second derivative of f(q). Determine n so that d(n) = 0.
0, 1
Let z(w) = -w**2 - 4*w + 1. Let g(p) = p**2 + 3*p. Let r(v) = 3*g(v) + 2*z(v). Let k be r(0). Suppose 3*y**3 - 1 + 8*y**2 - 7*y - 5 + k*y = 0. Calculate y.
-3, -2/3, 1
What is f in -128/21*f + 2/21*f**4 + 44/7*f**2 + 2 - 16/7*f**3 = 0?
1, 21
Let p(l) = -5*l**3 - 15*l**2 + 80*l + 115. Let m(b) = -25 - 32 + 2*b**3 + 8*b**2 - 40*b + 0*b**2. Let k(o) = 5*m(o) + 3*p(o). Factor k(s).
-5*(s - 3)*(s + 2)**2
Determine z, given that 1663 - 1663 - 40*z - 30*z**3 - 75*z**2 + 5*z**4 = 0.
-1, 0, 8
Let j(t) = -9*t**2 + 20*t - 5. Let n(r) = 55*r**2 - 120*r + 30. Let k be (-729)/21 + (10/14 - 1). Let d(v) = k*j(v) - 6*n(v). Factor d(i).
-5*(i - 1)*(3*i - 1)
Let p(t) be the second derivative of t**4/15 - 164*t**3/15 + 3362*t**2/5 + t + 132. Solve p(s) = 0.
41
Let k(n) be the third derivative of n**10/75600 - n**9/10080 + 3*n**5/10 - 2*n**2. Let o(d) be the third derivative of k(d). Factor o(i).
2*i**3*(i - 3)
Let f(c) be the third derivative of -c**6/180 - c**5/5 - 3*c**4 - 13*c**3/2 - 52*c**2. Let p(n) be the first derivative of f(n). Solve p(q) = 0 for q.
-6
Suppose -724*m + 688*m = 0. Factor 5/6*h**4 + 2/3*h**5 + 0 + 0*h + m*h**2 + 1/6*h**3.
h**3*(h + 1)*(4*h + 1)/6
Let r be 1/(-12) - 8675/(-4164). Find y, given that -2/5*y**3 + y**r - 1/5*y - 2/5 = 0.
-1/2, 1, 2
Find t such that 0*t - 45*t**2 - 5/2*t**4 + 20*t**3 + 135/2 = 0.
-1, 3
Let 55*a**2 - 5*a**4 - 4*a**3 + 5*a**3 + 9*a**3 - 2*a**3 + 2*a**3 - 60*a = 0. What is a?
-3, 0, 1, 4
Let v(t) be the second derivative of t**5/35 + 61*t**4/21 - 2*t**3/21 - 122*t**2/7 + 38*t - 6. Determine u, given that v(u) = 0.
-61, -1, 1
Let q = 40 + -38. Factor -14*i + 9*i**2 - q*i**3 - 26*i + 18 + 5*i**2 + 10*i.
-2*(i - 3)**2*(i - 1)
Let o(x) = -5*x**3 - 21*x**2 + 194*x - 3. Let l(r) = -5*r**3 - 19*r**2 + 196*r - 2. Let a(m) = -3*l(m) + 2*o(m). Find c, given that a(c) = 0.
-8, 0, 5
Factor -2*t**4 - t**4 + 60*t**2 + 27*t**3 + 0*t**3 + 6*t**4.
3*t**2*(t + 4)*(t + 5)
Find v, given that -11 - 58 - 38 - 99*v + 11 - 7*v**2 + 4*v**2 = 0.
-32, -1
Factor 5*r**2 - 2/3 - 13/3*r.
(r - 1)*(15*r + 2)/3
Let k(x) be the first derivative of -3/2*x**2 + 3/4*x**4 + 15/4*x - 35 + 3/20*x**5 - 3/2*x**3. Factor k(d).
3*(d - 1)**2*(d + 1)*(d + 5)/4
Suppose y - 2*n = -2, -4*y + 25 = -n + 4*n. Factor -3*k**3 + k**y - 7*k**2 + 7*k**2 - k + 3*k**2.
k*(k - 1)**3
Suppose 48 = 5*x - 3*i, 4*i - 16 = -0. Let -x*v - 3/4*v**3 - 6*v**2 + 0 = 0. What is v?
-4, 0
Let j = -119 - -239. Let n be (-16)/40 + (-3)/(j/(-26)). Factor 1/4*z**2 - n*z + 0.
z*(z - 1)/4
Let j = 43 - 39. Factor v**3 - 2*v + 8*v + j*v**2 + 2 - v.
(v + 1)**2*(v + 2)
Suppose -2*n = -13*n + 22. Suppose -n*y + 2*y = 4*y. Find z such that 2/7*z**3 + y*z + 6/7*z**4 - 2*z**2 + 8/7 - 2/7*z**5 = 0.
-1, 1, 2
Let p(h) be the third derivative of -h**8/1344 + h**7/168 + h**6/36 + h**4/8 - 12*h**2. Let y(n) be the second derivative of p(n). Suppose y(m) = 0. What is m?
-1, 0, 4
Let g(n) be the first derivative of -n**5/390 + 5*n**4/156 - 4*n**3/39 + 5*n**2 - 8. Let b(r) be the second derivative of g(r). Factor b(l).
-2*(l - 4)*(l - 1)/13
Let y(h) be the second derivative of -h**8/112 + 3*h**7/70 - h**5/5 - 5*h**2/2 - 4*h. Let w(i) be the first derivative of y(i). Factor w(q).
-3*q**2*(q - 2)**2*(q + 1)
Suppose -f + 6 = -0. Factor -f*l**2 + 2*l + 2*l + 0*l**2 - l.
-3*l*(2*l - 1)
Let v(w) be the first derivative of 5/8*w**2 - 1/16*w**4 + 28 + 3/4*w + 1/12*w**3. Let v(p) = 0. 