vative of 0 + 0*r + 1/48*r**4 - 6*r**2 - 1/6*r**3 + 1/120*r**5. Factor g(w).
(w - 1)*(w + 2)/2
Suppose -2*o - 3 = -11. Suppose -5*c = 0, -o*c = 3*g - 2*g - 5. Let -16/11*j**2 + 2/11 + 14/11*j**4 + 4/11*j**3 - 8/11*j**g + 4/11*j = 0. Calculate j.
-1, -1/4, 1
Let g be 2/7 - (-1 - -1)/(20/10). Let 4/7 + g*j - 2/7*j**2 = 0. Calculate j.
-1, 2
Let 0*f - 14/3*f**2 + 2/3*f**4 + 4*f**3 + 0 = 0. What is f?
-7, 0, 1
Let r(f) be the third derivative of 11*f**8/112 + 39*f**7/70 + 9*f**6/20 - 11*f**5/5 - 3*f**4 + 39*f**2. Let r(h) = 0. Calculate h.
-2, -6/11, 0, 1
Factor s + 0*s - 6 + 0*s - s**2 - 6*s.
-(s + 2)*(s + 3)
Let c(y) be the third derivative of -1/16*y**4 + 0*y + 0*y**3 - 1/30*y**5 - 1/240*y**6 + 9*y**2 + 0. Factor c(h).
-h*(h + 1)*(h + 3)/2
Let o(t) be the first derivative of t**7/210 + t**6/10 + 9*t**5/10 + 9*t**4/2 + t**3/3 - 13. Let g(w) be the third derivative of o(w). Factor g(s).
4*(s + 3)**3
Suppose -10 = -3*v + h - 0, -v - h = 2. What is d in -4/5*d**4 + 1/5*d + 0 - 4/5*d**v + 6/5*d**3 + 1/5*d**5 = 0?
0, 1
Suppose -32 = -4*s - p, 0 = p - 34 + 38. Suppose -3/2*r**5 + 6*r**4 + 0 + 6*r**2 - s*r**3 - 3/2*r = 0. Calculate r.
0, 1
Factor -6640*q**2 + 6636*q**2 + 27*q**3 - 7*q**3.
4*q**2*(5*q - 1)
Let c = 6539/63 + -725/7. What is r in c*r**2 + 2/9*r**3 - 4/9*r + 0 = 0?
-2, 0, 1
Let m(d) = -5*d**2 + 29*d - 24. Let j(t) = t**2 - t. Let a(x) = 3*j(x) + m(x). Find g such that a(g) = 0.
1, 12
Let m = -1 + 6. Let c be (-110)/33*(-9)/m. Determine f, given that c*f**2 + 4*f**2 - 16*f**2 - 3*f - 3*f**3 = 0.
-1, 0
Let f(o) be the second derivative of -2*o**7/21 + 8*o**6/15 - o**5 + 2*o**4/3 + 69*o. Factor f(d).
-4*d**2*(d - 2)*(d - 1)**2
Let u(z) be the second derivative of 0 + 1/90*z**4 - 13*z - 8/15*z**2 - 2/45*z**3. Factor u(p).
2*(p - 4)*(p + 2)/15
Let a(c) be the third derivative of -c**6/360 + c**5/120 + c**4/12 + 8*c**3/3 + 18*c**2. Let x(t) be the first derivative of a(t). Let x(n) = 0. What is n?
-1, 2
Let n = -261/2 - -131. Let m = 2/11 + 25/44. What is x in n - 1/4*x**4 - 1/4*x**2 + m*x**3 - 3/4*x = 0?
-1, 1, 2
Let b(r) be the second derivative of -r**5/20 - 5*r**4/12 + 25*r**3/6 + 125*r**2/2 + 2*r + 23. Factor b(k).
-(k - 5)*(k + 5)**2
Let k be (2/(-4))/((-1)/58). Factor 5 - k*x**3 - 65*x + 75*x**2 + 20*x - 6*x**3.
-5*(x - 1)**2*(7*x - 1)
Let x(k) be the third derivative of -1/24*k**4 + 1/360*k**5 - 16*k**2 + 0 + 1/4*k**3 + 0*k. Factor x(t).
(t - 3)**2/6
Let d(p) = 9*p**4 - 59*p**3 + 39*p**2 + 100*p - 7. Let t(i) = i**4 - i**3 - i**2 - 1. Let o(a) = 2*d(a) - 14*t(a). Factor o(f).
4*f*(f - 25)*(f - 2)*(f + 1)
Suppose 5*z + 25 = 0, -3*q - 4*z - 5 = 2*q. Let 15*i**2 - q*i**4 + 0*i**4 - 6*i**2 + 6*i**3 = 0. What is i?
-1, 0, 3
Let f(g) = 18*g**2 - 231*g - 37. Let a be f(13). Factor 2/9*w**a - 2/3*w + 0.
2*w*(w - 3)/9
Factor -1/5*a**2 + 104/5*a + 0.
-a*(a - 104)/5
Let i(k) = -k**3 - 25*k**2 + 28*k - 17. Let r = -39 - -38. Let h(v) = -v**3 - v**2 - 1. Let s(o) = r*i(o) + 5*h(o). Suppose s(m) = 0. Calculate m.
1, 3
Suppose 23 = 3*k - 10. Factor -3 + o - 3 + 3*o + k*o + 21*o**2.
3*(o + 1)*(7*o - 2)
Let t(o) = 2*o**2 - 503*o - 1011. Let z be t(-2). Factor -2*d - 3/5 - 12/5*d**2 - 6/5*d**z - 1/5*d**4.
-(d + 1)**3*(d + 3)/5
Let r(x) = 3*x**3 - 2*x**2 + 8*x - 8. Let v(g) be the first derivative of g**4/4 - g**3/3 + 3*g**2/2 - 3*g - 9. Let w(k) = -3*r(k) + 8*v(k). Factor w(c).
-c**2*(c + 2)
Solve 2*s**3 - 8/3*s + 0 + 0*s**2 + 2/3*s**4 = 0.
-2, 0, 1
Let v(o) be the second derivative of o**5/10 - 13*o**4/6 - o**3/3 + 13*o**2 + 2*o + 107. Solve v(u) = 0 for u.
-1, 1, 13
Let k be -11 + 0 + 5 + 6. Let b(a) be the second derivative of k + 27/4*a**2 + 1/8*a**4 - 7*a + 3/2*a**3. Suppose b(c) = 0. What is c?
-3
Let q be 39/54 - (-2)/(-4). Find b such that 0*b - q*b**3 + 0*b**2 + 0 = 0.
0
Let t be (-21)/(-126) - (-34)/(-210). Let h(p) be the third derivative of -1/84*p**4 + 0*p**3 + 0 - t*p**5 + 3*p**2 + 0*p. Solve h(i) = 0 for i.
-1, 0
Let l(i) be the second derivative of -3*i**5/20 + 9*i**4/2 - 29*i**3/2 - 72*i**2 - i - 355. What is b in l(b) = 0?
-1, 3, 16
Let v = 105 + -96. Factor -30*t**4 + 121*t**3 + v - 36*t**3 - 75*t**2 - 4 + 15*t.
-5*(t - 1)**3*(6*t + 1)
Find c, given that -1226*c**4 + 252134/7*c**3 + 1385968/7*c + 14*c**5 - 2532106/7*c**2 - 195112/7 = 0.
2/7, 29
Let v(t) be the third derivative of 1/12*t**4 - 19*t**2 + 2/3*t**3 - 1/5*t**5 + 0*t + 0 - 2/105*t**7 - 7/60*t**6. Determine b so that v(b) = 0.
-2, -1, 1/2
Factor -4*v**2 + 3*v**2 + 168*v + 74*v + 6*v - 15376.
-(v - 124)**2
Let v(w) be the second derivative of -w**6/1440 - w**5/120 - w**4/24 + 7*w**3/3 + 7*w. Let r(y) be the second derivative of v(y). Factor r(d).
-(d + 2)**2/4
Let v(m) = 4*m - 12. Let j be v(3). Let f(i) be the second derivative of 0 + 0*i**2 + j*i**3 - 5*i - 9/80*i**5 + 1/24*i**4 + 1/30*i**6. What is b in f(b) = 0?
0, 1/4, 2
Factor 22*v + 6*v**2 + 4*v + 11*v**2 + 2*v + 7*v**2 - 4*v**3.
-4*v*(v - 7)*(v + 1)
Suppose 3*u = 5*o - 1577, o - 289 = -4*u + 8. Let v = -2187/7 + o. Factor v*m**3 - 4/7*m**2 - 2/7*m - 2/7*m**5 + 2/7 + 2/7*m**4.
-2*(m - 1)**3*(m + 1)**2/7
Let k(x) be the second derivative of 25/42*x**7 - 5*x**2 + 0 + 2*x**6 - 25/6*x**4 - 15/2*x**3 + x**5 + 3*x. Determine w so that k(w) = 0.
-1, -2/5, 1
Let r(q) = 12*q**2 - 6. Let n(u) = -u**2 - u - 1. Let m(p) = -28*n(p) - 2*r(p). Factor m(g).
4*(g + 2)*(g + 5)
Let b(z) be the first derivative of z**4/2 + 8*z**3 + 45*z**2 + 108*z - 217. Factor b(d).
2*(d + 3)**2*(d + 6)
Let j = -779/2 - -372. Let b = j + 107/6. Factor 0 + 0*g + b*g**3 + 2/3*g**2.
g**2*(g + 2)/3
Let h(w) be the second derivative of -w**7/280 + w**6/120 + w**5/40 - w**4/8 + w**3/6 - 7*w. Let c(t) be the second derivative of h(t). Factor c(z).
-3*(z - 1)**2*(z + 1)
Factor 16/7*f - 4*f**2 + 4/7*f**3 + 48/7.
4*(f - 6)*(f - 2)*(f + 1)/7
Let w(b) be the third derivative of 0*b**3 + 0*b + 1/160*b**5 + 0 - 1/32*b**4 + 17*b**2. Factor w(s).
3*s*(s - 2)/8
Suppose 0 = -q - 2*q + 3*i + 48, -5*q = -3*i - 84. Factor -16 + 50*b - 16*b - 4*b**4 - 60*b**2 + q*b + 28*b**3.
-4*(b - 4)*(b - 1)**3
Let w(z) = -z**2 + 2*z + 3. Let r(n) = -n**3 - 8*n**2 + n + 10. Let d be r(-8). Let s be w(d). Suppose -s*y**4 + y**3 + 3*y**3 + 5*y**4 = 0. What is y?
-2, 0
Let i(n) be the first derivative of 0*n**2 + 24 + 3*n**3 + 0*n - 3/4*n**4. Factor i(x).
-3*x**2*(x - 3)
Let y(n) be the second derivative of 2*n**7/7 + 4*n**6/15 - 3*n**5/5 - 2*n**4/3 + 64*n. Solve y(o) = 0.
-1, -2/3, 0, 1
Suppose 20*p**3 - 2*p**3 + 2*p**2 - 18*p + 233*p**4 - 235*p**4 = 0. Calculate p.
-1, 0, 1, 9
Let j(s) be the third derivative of 0 - s**3 + 0*s + 1/8*s**6 - 5/8*s**4 - s**2 + 1/10*s**5. Factor j(i).
3*(i - 1)*(i + 1)*(5*i + 2)
Let q(c) = c**3 + 10*c**2 + 7*c - 12. Let k be q(-9). Factor -3*t**2 + 2 + 0*t**2 + k + 3*t - 2.
-3*(t - 2)*(t + 1)
Suppose -6*h - 40 = 38. Let t = h - -15. Solve 696*a**4 - 123*a**3 - 1321*a**3 + 200*a**4 + 1241*a**2 - 225*a**t + 32 - 196*a**5 - 304*a = 0.
2/7, 1, 2
Let w(q) be the third derivative of -q**7/504 - 5*q**4/8 - 25*q**2. Let r(x) be the second derivative of w(x). Let r(o) = 0. Calculate o.
0
Let u(x) = 119*x**3 + 2*x**2 - x. Let r be u(1). Suppose 0 = -3*v + r + 9. Determine t so that v*t**3 + 6 - 14*t - 46*t**3 - t + 12*t**2 = 0.
1, 2
Let q be 24/15 - (-2)/5. Let l = 4 - q. Factor 3*w + 2*w**l + 0*w**3 + 2*w**3 - 6*w - w**3.
w*(w - 1)*(w + 3)
Let d(s) = 11*s**3 - 36*s**2 - 132*s - 28. Let j(y) = -y**3 - y**2 + 2*y - 1. Let v(b) = 5*d(b) + 20*j(b). Factor v(q).
5*(q - 8)*(q + 2)*(7*q + 2)
Let p = -111 - -1455. Let f be p/(-1197) - (-4)/(-6) - -2. Factor -f + 2/19*y**2 + 2/19*y.
2*(y - 1)*(y + 2)/19
Suppose -g - 9 = -23. Factor -g*n - 8 + 29 + 2*n**3 - 9.
2*(n - 2)*(n - 1)*(n + 3)
Let f(l) = 7*l**4 + 68*l**3 + 60*l**2. Let h(p) = -135*p**4 + 133*p**4 - 12*p**3 - 20*p**2 - 11*p**3. Let i(o) = -3*f(o) - 8*h(o). Factor i(r).
-5*r**2*(r + 2)**2
Let m(j) be the first derivative of -15*j**6/8 + 12*j**5/5 + 33*j**4/16 - 4*j**3 + 3*j**2/2 - 33. Suppose m(v) = 0. Calculate v.
-1, 0, 2/5, 2/3, 1
Let k = -5109/11 - -465. Let p = 164/1023 - -2/93. Factor 4/11 - k*f + p*f**2.
2*(f - 2)*(f - 1)/11
Let z(m) be the third derivative of -m**7/735 + m**5/30 + m**4/14 + 112*m**2. Determine b so that z(b) = 0.
-2, -1, 0, 3
Suppose -l - 5*p = -20, 12 = 4*l - l - p. Suppose 2 = 5*i - t, 5*i - 3 