*a**5 - 1/3*a**4. What is d in y(d) = 0?
-2, 0, 1
Suppose -o - 1 = 0, -w + 0*o + 10 = 3*o. Find v such that -v - 4*v - w*v**2 + 13*v**2 + 5*v**3 = 0.
-1, 0, 1
Let h(a) be the third derivative of a**9/120960 - a**8/53760 + 5*a**4/12 + 10*a**2. Let s(u) be the second derivative of h(u). Let s(v) = 0. Calculate v.
0, 1
Let g = 1792 - 1789. Find k, given that -8/17 - 6/17*k**2 - 16/17*k + 2/17*k**4 + 4/17*k**g = 0.
-2, -1, 2
Let v(c) be the second derivative of -7*c**4/9 + 58*c**3/9 - 20*c**2 + 462*c. Factor v(x).
-4*(x - 2)*(7*x - 15)/3
Let u(t) = -t**2 + t + 1. Let m(r) = 79*r - 80. Let w(n) = -m(n) - u(n). Factor w(q).
(q - 79)*(q - 1)
Let p be (-325)/(-17) + 10/(-85). Determine w, given that 8 - 42*w**2 - 7*w + p*w + 46*w**2 = 0.
-2, -1
Let n(w) = 4*w**3 - 5*w**2 - 29*w + 3. Suppose 10 = 3*d + 37. Let t(o) = -o**3 + o**2 + 7*o - 1. Let u(l) = d*t(l) - 2*n(l). Factor u(b).
(b - 1)**2*(b + 3)
Let h(u) = -2*u + 15. Let x be h(3). What is o in -12*o**3 - x*o - 2*o**3 + 2*o**5 + 8*o**2 - 8*o**4 + 4*o**5 + 17*o = 0?
-1, -2/3, 0, 1, 2
Let a = 564 + -564. Let l(m) be the first derivative of 3/13*m**2 + a*m - 2/39*m**3 - 2. Factor l(o).
-2*o*(o - 3)/13
Let c = 612 - 2447/4. Let l(o) be the first derivative of -6 + c*o**2 + 0*o**5 + 0*o + 1/12*o**6 - 1/4*o**4 + 0*o**3. Factor l(h).
h*(h - 1)**2*(h + 1)**2/2
Let q(v) be the first derivative of -v**6/15 - 2*v**5/5 - 3*v**4/5 + 8*v**3/15 + 8*v**2/5 + 74. Let q(t) = 0. What is t?
-2, 0, 1
Let t(i) be the first derivative of i**4/12 + i**3/6 + 10*i - 17. Let u(r) be the first derivative of t(r). Factor u(b).
b*(b + 1)
Suppose 0*b + 2/5*b**5 + 24/5*b**3 + 0 + 16/5*b**4 + 0*b**2 = 0. Calculate b.
-6, -2, 0
Let l be -9 - (-6)/(1 + 2). Let k be 68/28 + 3/l. Let k*t**2 + t**2 + 5*t - 8*t + t**3 - t**2 = 0. What is t?
-3, 0, 1
Let u(g) be the first derivative of g**4/3 - 4*g**3 + 18*g**2 - 24*g + 2. Let r(y) be the first derivative of u(y). Factor r(m).
4*(m - 3)**2
Let t(n) be the first derivative of n**4/22 + 12*n**3/11 + 17*n**2/11 - 72. Factor t(f).
2*f*(f + 1)*(f + 17)/11
Let n(d) be the third derivative of d**5/160 + 37*d**4/64 - 15*d**3/2 + 892*d**2. Suppose n(t) = 0. What is t?
-40, 3
Let w(i) = 3*i - 7. Let l be w(3). Let k(s) = -6*s + 5*s**l - 9*s**2 + 13*s**2 - 3. Let u(q) = -q**2 + q. Let t(a) = -3*k(a) - 24*u(a). Factor t(g).
-3*(g - 1)*(g + 3)
Let z = -211 - -215. Suppose m**3 - 1/2*m - m**z + 2*m**2 - 1 - 1/2*m**5 = 0. What is m?
-2, -1, 1
Let i(f) be the third derivative of 0*f + 1/945*f**7 + 4/135*f**5 + 0 + 16*f**2 + 1/108*f**6 + 1/27*f**4 + 0*f**3. Factor i(a).
2*a*(a + 1)*(a + 2)**2/9
Suppose -250749 - 6*y**3 - 235931 - 31740*y - 138*y**2 + 23*y**2 - 575*y**2 + y**3 = 0. Calculate y.
-46
Let k(f) = -f**2 + 20*f - 81. Let h = -141 - -147. Let o be k(h). Factor 1/7*l**o - 1/7*l**5 + 0*l**4 + 0*l + 0*l**2 + 0.
-l**3*(l - 1)*(l + 1)/7
Let c(u) be the second derivative of u**5/100 - u**4/30 - 2*u**3/15 + 4*u**2/5 + 31*u. Factor c(r).
(r - 2)**2*(r + 2)/5
Let s = 165 - 103. Let c = -304/5 + s. Factor -c + 3/5*m**2 - 3/5*m.
3*(m - 2)*(m + 1)/5
Let i(y) be the third derivative of -y**8/2016 + y**7/315 - 7*y**2 - 7*y. Factor i(q).
-q**4*(q - 4)/6
Suppose 3*k = 3, i + 17*k - 5 = 12*k. Let n(p) be the first derivative of 3 - p**2 + i*p - 1/6*p**3. Solve n(c) = 0 for c.
-4, 0
Let l(q) = -q**2 - 2*q - 1. Let s be l(-5). Let o be (-9)/4*s/72. What is g in 0 - o*g + 1/2*g**2 = 0?
0, 1
Suppose g - 4 = -1. Let z(k) be the first derivative of 1 - 13*k**2 + 4*k**3 - 3*k**3 + 10*k**2 + g*k + 0. Solve z(m) = 0.
1
Let z(x) be the first derivative of -9*x**5/140 + x**4/7 - x**3/14 + 7*x + 23. Let s(q) be the first derivative of z(q). Solve s(h) = 0 for h.
0, 1/3, 1
Let w = 28 - 26. Factor 4 + 2*s + 5*s**3 - s**3 - 4*s**w - 6*s**3.
-2*(s - 1)*(s + 1)*(s + 2)
Factor 2*v - 4/3 - 2/3*v**2.
-2*(v - 2)*(v - 1)/3
Let v(i) be the second derivative of 0 + 1/120*i**4 + 1/15*i**3 + 1/5*i**2 - 5*i. Determine m so that v(m) = 0.
-2
Let o = 13 + -10. Let u = o - -1. Factor -4 - 12*g - g**4 - 3*g**2 - 6*g**2 + 0*g**2 - u*g**2 - 6*g**3.
-(g + 1)**2*(g + 2)**2
Let r(u) be the first derivative of 1/22*u**4 - 1/11*u**2 + 0*u**3 + 0*u - 22. Find c such that r(c) = 0.
-1, 0, 1
Let -21*q**3 + 11*q**4 + 35*q + q**3 - 6 - 19*q**3 + 8*q**3 - 4*q**3 - 5*q**2 = 0. What is q?
-1, 2/11, 1, 3
Let x be (-736)/(-391) + 13/((-221)/(-2)). Factor 1/2 - 1/2*s**x + 1/10*s**3 - 1/10*s.
(s - 5)*(s - 1)*(s + 1)/10
Suppose -4*i - 30 = -9*i. Let x(b) = 3*b**2 + 4*b + 9. Let l(g) = 25*g**2 + 31*g + 72. Let s(t) = i*l(t) - 51*x(t). Factor s(o).
-3*(o + 3)**2
Let w(b) be the second derivative of -b**9/3024 - b**8/336 - b**7/126 + 7*b**4/12 - 37*b. Let c(x) be the third derivative of w(x). Factor c(j).
-5*j**2*(j + 2)**2
Let j = -133 + 138. Let -91*w - 13*w**2 - 81*w**4 + 126*w**3 + 63*w - j + 1 = 0. Calculate w.
-2/9, 1
Let j = 403/9 - 80573/1800. Let c(n) be the third derivative of 0*n**3 + 3*n**2 - 1/40*n**4 - j*n**6 + 3/100*n**5 + 0 + 1/350*n**7 + 0*n. Solve c(u) = 0.
0, 1
Suppose -3 = -4*b + 1. Let a(w) = 3*w - 1. Let i be a(b). What is g in -1 + 0*g**2 + 0 + g + i*g**2 = 0?
-1, 1/2
Let w(i) be the second derivative of -1/90*i**6 - 2/3*i**3 + 5*i + 0*i**2 + 0 + 0*i**5 + 1/6*i**4. Let v(q) be the second derivative of w(q). Factor v(c).
-4*(c - 1)*(c + 1)
Let i(z) be the first derivative of 3*z**4/4 - 58*z**3/3 + 130*z**2 + 200*z + 77. Factor i(b).
(b - 10)**2*(3*b + 2)
Let m be 96/18*21/4. Let s be 2/7*(-3)/((-18)/m). Factor 4/3*l - s - 1/3*l**2.
-(l - 2)**2/3
Let u(v) be the first derivative of v**6/90 - v**5/30 - v**4/3 + 10*v**3/3 - 12. Let z(t) be the third derivative of u(t). Find w, given that z(w) = 0.
-1, 2
Let h(m) be the third derivative of 20*m**2 + 0 - 1/112*m**8 - 1/10*m**6 + 0*m + 5/8*m**4 + 1/10*m**5 + m**3 - 2/35*m**7. Factor h(v).
-3*(v - 1)*(v + 1)**3*(v + 2)
Factor -13*o**2 + 33*o + 0*o**2 - 3*o**2 + 7*o**2 + 6*o**2.
-3*o*(o - 11)
Let o(l) be the first derivative of -2*l**6/9 + 17*l**5/15 - 9*l**4/4 + 19*l**3/9 - 5*l**2/6 - 153. Factor o(i).
-i*(i - 1)**3*(4*i - 5)/3
Let k(q) be the second derivative of q**4/6 - 4*q**3 + 20*q**2 + 8*q + 9. Factor k(d).
2*(d - 10)*(d - 2)
Let o(h) be the third derivative of -h**7/1120 + h**6/1440 + h**5/160 - h**4/96 - 2*h**3 - 5*h**2. Let w(l) be the first derivative of o(l). Factor w(n).
-(n - 1)*(n + 1)*(3*n - 1)/4
Let q(p) = -7*p**3 - 28*p**2 - 40*p + 2. Let s(a) = -a**3 + a**2 + 1. Let k(i) = -q(i) + 2*s(i). What is o in k(o) = 0?
-4, -2, 0
Let a(r) be the first derivative of -r**3/6 + 5*r**2/2 - 8*r - 58. Factor a(q).
-(q - 8)*(q - 2)/2
Let j(v) = 23*v - 49. Let x be j(3). Let g be (-156)/(-240) + (-8)/x. Factor -1/4 + g*r**2 - 1/4*r**3 + 1/4*r.
-(r - 1)**2*(r + 1)/4
Let q(n) = 5*n**3 + 3*n**2 + 6*n + 4. Let a(z) = -6*z - z**3 - 3*z**3 - 3*z**2 - z - 5 - 2*z**3. Let d(m) = 4*a(m) + 5*q(m). What is c in d(c) = 0?
-2, -1, 0
Suppose 3*o = -r + 9, 0 = -6*r + 8*r - 6. Let 0 - 2/11*w + 1/11*w**o = 0. What is w?
0, 2
Let c(x) = x**2 + 264*x + 5762. Let t be c(-24). Factor 0 + 3/4*g**t - 21/4*g.
3*g*(g - 7)/4
Suppose -1 = 3*v - 13. Suppose -2*n = v*o - 28, -23 = -0*o - 3*o - 2*n. Suppose 11*l**5 - 2*l**4 - 3*l**3 + 5*l**2 + l**3 - 3*l**2 - 9*l**o = 0. What is l?
-1, 0, 1
Let v(w) be the third derivative of 1/16*w**4 + 0 + 0*w - 1/160*w**5 - 7*w**2 + 0*w**3. Factor v(q).
-3*q*(q - 4)/8
Let s(g) = g + 2. Let x be s(1). Let d(p) be the third derivative of 0*p**6 + 0*p**x + 5*p**2 + 0*p + 0 + 0*p**4 + 1/35*p**7 - 1/112*p**8 + 0*p**5. Factor d(z).
-3*z**4*(z - 2)
Let o = 769/2765 - -3/395. Let t = -187 - -1311/7. Determine j so that 4/7*j + 6/7*j**3 - t*j**5 - 10/7*j**2 + 0 + o*j**4 = 0.
-2, 0, 1
Let u(w) be the second derivative of 0*w**3 - 12*w + 6/55*w**5 + 0 + 2/33*w**4 + 1/77*w**7 + 0*w**2 + 1/15*w**6. Let u(m) = 0. What is m?
-2, -1, -2/3, 0
Let i(u) be the third derivative of -u**7/1155 - u**6/660 + u**5/330 + u**4/132 + 4*u**2 + 10*u. Factor i(n).
-2*n*(n - 1)*(n + 1)**2/11
Let k(l) be the first derivative of -4/3*l**3 - 24 - 4/5*l**5 - 3*l**4 + 6*l**2 + 8*l. Solve k(j) = 0.
-2, -1, 1
Let a(r) be the first derivative of -r**6/24 - r**5/2 - 5*r**4/2 - 20*r**3/3 - 10*r**2 - 8*r + 5. Factor a(q).
-(q + 2)**5/4
Suppose -20 = -3*h + 5*v, -2*h + 16 = h - v. Factor 1/2*r**3 + 16*r + h*r**2 + 16.
(r + 2)*(r +