3 + 5/72*r**4 - 1/180*r**6 + 0*r**2 + 0. Factor v(n).
-n*(n - 3)*(n - 1)*(n + 2)/6
Let b(c) be the third derivative of -c**7/2940 - c**6/1260 + c**5/420 + c**4/84 - 8*c**3/3 + 3*c**2. Let u(t) be the first derivative of b(t). Factor u(f).
-2*(f - 1)*(f + 1)**2/7
Let d(s) be the second derivative of -7 - 1/36*s**4 + 3*s + 1/6*s**2 + 0*s**3. Factor d(y).
-(y - 1)*(y + 1)/3
Let o(f) be the third derivative of -f**6/24 + 31*f**5/12 + 5*f**4/24 - 155*f**3/6 + 672*f**2. Factor o(n).
-5*(n - 31)*(n - 1)*(n + 1)
Suppose -1 = -w, g = w + 3 - 1. Solve 6*d**g + 4*d - 2*d**3 + 12*d**2 + 7*d**3 + 3*d**4 = 0 for d.
-2, -1, -2/3, 0
Let b(v) = -v**2 - 3*v. Let r(h) = 2*h**2 + 62*h - 30. Let c(u) = -5*b(u) - r(u). Factor c(n).
(n - 15)*(3*n - 2)
Let o(v) be the first derivative of v**4 + 4*v**3/3 - 4*v**2 + 87. Factor o(g).
4*g*(g - 1)*(g + 2)
Let n(l) = -3*l**4 + 23*l - 5 + 4 - 24*l + 2*l**4. Let w(f) = -2*f**4 + 6*f**3 + 2*f**2 - 10*f - 8. Let c(a) = 4*n(a) - w(a). Factor c(h).
-2*(h - 1)*(h + 1)**2*(h + 2)
Find c, given that -2278/5*c**2 - 8/5 - 252/5*c - 696*c**4 - 4673/5*c**3 - 841/5*c**5 = 0.
-2, -1, -2/29
Let v be (-3)/(-63)*-3 + (-6 - (-4365)/665). Determine m, given that -6/19*m + 0 - v*m**2 - 2/19*m**3 = 0.
-3, -1, 0
Let b(k) be the first derivative of -k**6/6 - 60*k**5 - 9000*k**4 - 720000*k**3 - 32400000*k**2 - 777600000*k - 97. Suppose b(c) = 0. What is c?
-60
Let v = 81 + -127. Let n = 46 + v. Solve -d**3 + n - 1/4*d**4 - d**2 + 0*d = 0 for d.
-2, 0
Let d be ((-7)/(-84)*8 + 39/(-18))/(-3). Determine p so that 0 - d*p**4 + p + 2*p**3 - 5/2*p**2 = 0.
0, 1, 2
Factor 1/5*t**3 + 2/5*t + 3/5*t**2 + 0.
t*(t + 1)*(t + 2)/5
Factor 1146/11*v**2 + 218886/11*v + 2/11*v**3 + 13935742/11.
2*(v + 191)**3/11
Suppose 0 = s + 2*g + 7, 2*s + 3*g + 10 = -0*g. Factor -s - 3 - 71*o + 6*o**2 + 73*o.
2*(o + 1)*(3*o - 2)
Suppose 2*l - 9 + 1 = -3*p, -3*p = 3*l - 9. Factor -4*o**4 - o**3 + o**3 + 0*o**4 - p*o**3.
-2*o**3*(2*o + 1)
Determine q, given that 15*q**2 + 19*q + 3*q**3 + 5479 - 11*q + 13*q - 5470 = 0.
-3, -1
Suppose 3*o - 5*i + 4 = -3*i, 3*i = -3*o + 21. Let m(k) be the first derivative of -8 + 10/3*k**3 + k**2 + 3/2*k**4 - o*k. Factor m(r).
2*(r + 1)**2*(3*r - 1)
Let x(k) be the second derivative of 1/21*k**3 + 20*k + 0*k**2 - 1/84*k**4 + 0. Factor x(i).
-i*(i - 2)/7
Factor 2/5*a**2 - 126/5 + 124/5*a.
2*(a - 1)*(a + 63)/5
Let i(y) be the second derivative of y**5/150 + 2*y**4/45 - 11*y**3/45 + 2*y**2/5 - 5*y + 32. Find c, given that i(c) = 0.
-6, 1
Let v(h) be the third derivative of -h**7/105 - h**6/15 - h**5/6 - h**4/6 + h**2 + 63. Factor v(p).
-2*p*(p + 1)**2*(p + 2)
Let w(p) be the third derivative of -p**8/168 - p**7/15 - 19*p**6/60 - 5*p**5/6 - 4*p**4/3 - 4*p**3/3 - 278*p**2. Factor w(l).
-2*(l + 1)**3*(l + 2)**2
Suppose -3*w = v - 50, 0 = -4*w - v - 0*v + 66. Suppose 16*c**2 - 20 - 6*c**2 + w*c - 6*c**2 = 0. What is c?
-5, 1
Let c(f) be the third derivative of -f**9/37800 - f**8/3360 + f**7/1050 - 23*f**4/24 + 9*f**2. Let k(y) be the second derivative of c(y). Factor k(d).
-2*d**2*(d - 1)*(d + 6)/5
Solve -155*q + 33 + 5*q**2 + 200 + 517 = 0 for q.
6, 25
Let s(p) be the first derivative of p**5 + 15*p**4/4 + 5*p**3/3 - 15*p**2/2 - 10*p - 304. Factor s(y).
5*(y - 1)*(y + 1)**2*(y + 2)
Let b(f) = 16*f**3 + 6*f**2 + 39*f + 16. Let r(s) = 3*s**3 + s**2 + 7*s + 3. Let p(a) = -4*b(a) + 22*r(a). Let p(j) = 0. What is j?
-1, 1
Let v be 57/9 + (-4)/12. Suppose -5*c = v - 1, 3*i + 4*c - 2 = 0. Factor -9/4*s + 3/2 - 15/4*s**i.
-3*(s + 1)*(5*s - 2)/4
Let c(b) be the second derivative of -b**4/42 - 23*b**3/21 - 22*b**2/7 - 208*b. Suppose c(z) = 0. What is z?
-22, -1
Let j(k) be the first derivative of 16*k**6/21 - 16*k**5/7 + 18*k**4/7 - 4*k**3/3 + 2*k**2/7 + 36. Find i such that j(i) = 0.
0, 1/2, 1
Solve -32/3*i + 512/3 + 1/6*i**2 = 0 for i.
32
Let v be -4 - (7 - 1)*-1. Let o = v + 1. Factor 0 + 2*m**2 + 3 + m - 1 - o*m**3 - 6*m**2.
-(m + 1)**2*(3*m - 2)
Let k(o) = -o**2 + 5*o - 3. Let d be k(3). Let h be (-937)/(-7) + 6/42. Factor -d*t**5 + 6*t**2 - h*t**4 + 128*t**4 + 2*t**3 + 5*t**5 - 4*t.
2*t*(t - 2)*(t - 1)**2*(t + 1)
Solve -2*m - 2/3*m**2 - 10/9 + 2/9*m**3 = 0 for m.
-1, 5
Let x be (-5994)/3330*(-22)/6. Solve -6/5*d + x*d**2 - 4/5 + 7/2*d**3 = 0.
-2, -2/7, 2/5
Let v(z) be the first derivative of 3/2*z**4 - 9/2*z**2 - 18 - 2*z**3 + 1/2*z**6 + 9/5*z**5 - 3*z. Solve v(d) = 0.
-1, 1
Suppose 9/2*a**2 + 3*a + 3/2*a**3 + 0 = 0. Calculate a.
-2, -1, 0
Suppose -10*m - 2*m = 576. Let k = m - -52. Determine w, given that 1/2*w**k + 0 - w**3 + 0*w + 1/2*w**2 = 0.
0, 1
Let u(f) be the third derivative of -1/660*f**6 - 1/33*f**4 - 2/165*f**5 - 5*f**2 + 0*f + 0*f**3 + 0. Determine q so that u(q) = 0.
-2, 0
Let r(d) be the second derivative of -d**4/6 + 29*d**3/3 - 28*d**2 + 134*d. Factor r(z).
-2*(z - 28)*(z - 1)
Let i be (-3)/(-2) - 2*67/120. Let j = i - 2/15. Factor 0 + j*p**2 - 1/4*p.
p*(p - 1)/4
Let l be 0*4*(-1)/(-8). Suppose -2*z = -3*a - 7*z + 25, 0 = -a + 2*z - 10. Find o such that l*o + a + 1/2*o**2 - 1/4*o**3 = 0.
0, 2
Let s be (6/4)/(42/(-28) + 2). Factor 6/11*w**2 + 2/11 - 2/11*w**s - 6/11*w.
-2*(w - 1)**3/11
Let b = 21 - 14. Let n(i) = 4 - b*i + 3*i**2 - i**3 + 1 - 1 + i**2. Let q(s) = 2*s**3 - 5*s**2 + 8*s - 5. Let a(v) = -5*n(v) - 4*q(v). Factor a(w).
-3*w*(w - 1)*(w + 1)
Let u(q) be the first derivative of -q**6/6 - 4*q**5/5 - q**4 - 259. Factor u(t).
-t**3*(t + 2)**2
Let 3/4*y**3 - y**2 + 1/2*y**4 - 3/4*y + 1/2 = 0. What is y?
-2, -1, 1/2, 1
Let h = -133 + 135. Suppose 3*o**h - 2*o**2 + 8 - 1683*o + 1674*o = 0. Calculate o.
1, 8
Let o be ((-38)/(-76))/(1/4). Let z(g) be the first derivative of 1/2*g**o - 1/3*g**3 + 0*g - 11/16*g**4 + 5 + 3/8*g**6 + 3/10*g**5. Let z(w) = 0. Calculate w.
-1, 0, 2/3
Suppose 15*q = -328*q + 807 + 565. Solve 0 - 4/13*l**3 + 2/13*l**5 + 0*l**2 + 0*l**q + 2/13*l = 0.
-1, 0, 1
Let r be (-8)/(-42)*(-9)/(-6). Let v be ((-916)/2519)/((-93)/(-33) + -3). Solve -2/7*h + 2/7*h**3 + 0 - 2/7*h**v + r*h**4 = 0 for h.
-1, 0, 1
Suppose 4/3*x**4 - 16/3*x**2 + 10/3*x**5 - 40/3*x**3 + 0 + 0*x = 0. What is x?
-2, -2/5, 0, 2
Factor -66*j**3 + 9789*j**2 + 8*j**4 + 5*j - 9717*j**2 - 19*j.
2*j*(j - 7)*(j - 1)*(4*j - 1)
Let m(l) = 15*l**2 - 350*l + 1765. Let d(h) = -h**2 + 25*h - 126. Let c(v) = 85*d(v) + 6*m(v). Factor c(t).
5*(t - 3)*(t + 8)
Let a be 12/(-42) + (-18)/(-14). Suppose -2*h = -9 + a. Factor -1/4 - 1/4*u**h + 1/2*u**2 + 1/4*u + 1/4*u**5 - 1/2*u**3.
(u - 1)**3*(u + 1)**2/4
Let o(y) = 4*y**5 - 13*y**4 + 18*y**3 - 9*y**2 - 9. Let q(l) = l**5 - 3*l**4 + 4*l**3 - 2*l**2 - 2. Let x(j) = 4*o(j) - 18*q(j). Factor x(a).
-2*a**4*(a - 1)
Let o(y) be the second derivative of 13 - y + 1/25*y**5 - 1/105*y**7 - 1/5*y**2 - 1/15*y**3 - 1/75*y**6 + 1/15*y**4. Find m, given that o(m) = 0.
-1, 1
Let t(i) be the first derivative of -2*i**5/55 - 2*i**4/11 - 8*i**3/33 + 146. Factor t(w).
-2*w**2*(w + 2)**2/11
Let y(r) be the second derivative of r**5/210 - 5*r**4/63 - r**3/63 + 10*r**2/21 + 5*r. Suppose y(w) = 0. What is w?
-1, 1, 10
Let o(u) be the first derivative of 1/48*u**4 + 9 + 1/40*u**5 + 0*u**3 + 0*u - 3*u**2. Let b(a) be the second derivative of o(a). Factor b(r).
r*(3*r + 1)/2
Let v be 3*-12*(-12)/1512. Factor 2/7*x - v*x**3 + 0 + 0*x**2.
-2*x*(x - 1)*(x + 1)/7
Suppose -6*v = -20 - 4. Suppose 16*x**2 + 0*x**2 + 8*x**3 - 4*x**4 - 12*x**v + 4*x**5 + 114*x - 126*x = 0. What is x?
-1, 0, 1, 3
Let u(f) be the third derivative of f**5/30 - 3*f**4/2 + 27*f**3 + 4*f**2 - 10. Factor u(z).
2*(z - 9)**2
Suppose 8*c**2 - 636*c**3 + 301*c**3 - 253*c**3 = 0. What is c?
0, 2/147
Let x(a) = -a**4 + a**3 + 2*a**2 - 1. Let s(p) = 161*p**4 + 1126*p**3 + 964*p**2 + 268*p + 23. Let y(v) = 5*s(v) - 5*x(v). What is w in y(w) = 0?
-6, -1/2, -2/9
Let b = -37396/9 + 4156. Solve -b + 8/9*c - 2/9*c**2 = 0.
2
Let k(a) = -a**2 + a + 2. Let c be k(0). Let v(r) = r**3 - 2*r**2 + 2*r - 2. Let u be v(c). Suppose h**u - 3*h + 2*h**3 + 7*h + 5*h**2 = 0. What is h?
-2, -1, 0
Let z(q) be the third derivative of q**5/60 - q**4/24 + 12*q**2. Let x be z(-1). Factor -39*r - 2*r**x + r**4 + 2 + 2*r**3 - r**2 - r**3 + 38*r.
(r - 1)**2*(r + 1)*(r + 2)
Find n such that -72/7*n + 0 + 24/7*n**2 - 2/7*n**3 = 0.
0, 6
Let r(o) = 24*o**4 - 91*o**3 - 98*o**2 - 2*o. Let b(p) = 645*p**4 - 2455*p**3 - 26