 1)**2/9
Let o(p) be the third derivative of -p**7/420 - p**6/60 - p**5/30 + 13*p**2 - 8. Factor o(w).
-w**2*(w + 2)**2/2
Let u = -339 - -345. Let m(o) be the first derivative of -1/2*o + u - 7/8*o**2 - 5/12*o**3. Factor m(f).
-(f + 1)*(5*f + 2)/4
Let i(w) be the second derivative of -1/10*w**5 + 5*w + 0 - 2/3*w**4 + 1/3*w**3 + 4*w**2. Factor i(u).
-2*(u - 1)*(u + 1)*(u + 4)
Suppose 12*p + 22 - 58 = 0. Let o(q) be the first derivative of -5/2*q**2 - q**p + 5/4*q**4 + 3*q + 6. Let o(f) = 0. Calculate f.
-1, 3/5, 1
Let a be (-3 - -3)*1/(-2). Factor a*h + 3/11*h**3 + 5/11*h**4 + 0 + 1/11*h**5 - 9/11*h**2.
h**2*(h - 1)*(h + 3)**2/11
Determine o, given that -2/5*o**2 + 14/5*o + 12 = 0.
-3, 10
Let p(n) be the third derivative of n**8/2520 - n**7/1575 - n**6/180 - n**5/150 + 151*n**2. Factor p(u).
2*u**2*(u - 3)*(u + 1)**2/15
Let v(k) be the third derivative of -k**6/420 + 17*k**5/210 - 95*k**4/84 + 25*k**3/3 + 18*k**2 - 4*k. Factor v(j).
-2*(j - 7)*(j - 5)**2/7
Let b(u) be the second derivative of -4/5*u**2 + 0 - 1/30*u**4 - 4/15*u**3 + 3*u. Factor b(r).
-2*(r + 2)**2/5
Let k(j) be the second derivative of -j**4/54 - j**3 + 28*j**2/9 - 2*j - 20. Factor k(d).
-2*(d - 1)*(d + 28)/9
Let k(p) be the first derivative of 52/15*p**3 + 5/2*p**4 - 18 + p**2 + 8/25*p**5 + 0*p. Let k(q) = 0. What is q?
-5, -1, -1/4, 0
Let h = -7791/2 - -3897. Find g, given that 5/4 - h*g + 1/4*g**2 = 0.
1, 5
Let a = 10/53 + -993/4982. Let j = 185/282 - a. Solve -2/3 - 4/3*y - j*y**2 = 0.
-1
Let q = 16546 - 82724/5. Let 0 - q*a - 14/5*a**2 - 4/5*a**3 = 0. What is a?
-3, -1/2, 0
Let h(z) = 21 + 18*z - 291*z**2 + 9*z + 39*z**3 - 3 - 9*z. Let y(d) = 11*d**3 - 83*d**2 + 5*d + 5. Let u(m) = 5*h(m) - 18*y(m). Factor u(v).
-3*v**2*(v - 13)
Let a(k) be the first derivative of k**4/4 - 11*k**3/3 + 9*k**2 + 444. Factor a(m).
m*(m - 9)*(m - 2)
Let h = 72 - 36. Solve 35*v**2 + 0*v - 4*v - h*v**2 + 2*v = 0 for v.
-2, 0
Factor 28*n + 11*n**2 - 21*n**2 + 11*n**2.
n*(n + 28)
Factor 100*x**2 - 16 + 54*x**3 + 152/3*x + 28/3*x**4.
2*(x + 2)**3*(14*x - 3)/3
Let a(h) be the third derivative of -h**8/26880 + h**7/3360 + h**6/120 + 3*h**5/20 - 10*h**2 - 2. Let w(r) be the third derivative of a(r). Factor w(i).
-3*(i - 4)*(i + 2)/4
Let z = 123 + -119. Let p = -27 - -38. What is t in -8 - 8*t - 18*t**4 + z*t**2 + p*t**2 + 12*t**3 + t**2 + 6*t**2 = 0?
-2/3, 1
Let y(p) be the first derivative of -4/5*p**5 + 0*p**3 + 4*p + 4*p**2 - 7 - 2*p**4. Determine u so that y(u) = 0.
-1, 1
Find z, given that -4/3*z**2 - 34/3*z**3 + 34/3*z + 4/3 = 0.
-1, -2/17, 1
Let z be 220/75*144/264. Determine b so that 0*b**4 - 2/5*b**5 - 6/5*b + 4/5 + z*b**3 - 4/5*b**2 = 0.
-2, -1, 1
Let k be 10/15*-9 + 6/2. Let r be (-200)/(-90) + 1 + k. Factor 2 - 4/3*m + r*m**2.
2*(m - 3)**2/9
Find j such that -22*j**2 - 23*j**2 + j**5 + 3*j**4 - 22*j**2 + 63*j**2 = 0.
-2, 0, 1
Let o(c) be the third derivative of -c**7/210 - c**6/90 + c**5/30 + c**4/6 - 3*c**3/2 + 11*c**2. Let x(j) be the first derivative of o(j). Factor x(m).
-4*(m - 1)*(m + 1)**2
Factor -1/4*p**3 + 0*p - 7/4*p**2 + 0.
-p**2*(p + 7)/4
Let i = -27 + 29. Let g(j) be the second derivative of -1/21*j**3 + 0*j**i - 1/84*j**4 + 0 + 2*j + 1/140*j**5. Determine o, given that g(o) = 0.
-1, 0, 2
Let h(w) be the first derivative of 0*w + 7 - 5*w**3 - 5/2*w**2 - 15/4*w**4 - w**5. Factor h(y).
-5*y*(y + 1)**3
Let m(y) be the second derivative of 2/15*y**6 - 1/21*y**7 + 0 - 9*y + 1/3*y**3 + 0*y**5 - 1/3*y**4 + 0*y**2. Factor m(o).
-2*o*(o - 1)**3*(o + 1)
Suppose -4*y - 23 = -9*y - 4*s, -y + 3*s = 3. Solve 3/5*g**y - 18/5*g**2 + 27/5*g + 0 = 0 for g.
0, 3
Let w(x) = -x**2 + 8*x - 3. Let k be w(7). Factor 1/5*f**k + 1/5*f + 3/5*f**2 + 3/5*f**3 + 0.
f*(f + 1)**3/5
Let m = 29 - 21. Suppose 3*y - 23 = -0*y - 2*i, y - 6 = i. Solve 4*u**3 + m*u**4 - u**2 - 2*u - y*u**2 - 2*u**3 = 0 for u.
-1, -1/4, 0, 1
Let v(i) = -i**3 + 5*i**2 + 13*i - 1. Let a be v(6). Suppose a*g**4 + 37*g**4 - 73*g**4 + 5*g**3 = 0. Calculate g.
-1, 0
Let z(v) be the second derivative of -7/10*v**6 + 0 - 6*v**2 + v - 9/5*v**5 + 11/4*v**4 + 6*v**3. Determine p, given that z(p) = 0.
-2, -1, 2/7, 1
Let j = -13730 + 13730. Determine i, given that 2/11*i + 2/11*i**2 + j = 0.
-1, 0
Let g(p) be the third derivative of p**6/120 + p**5/15 + p**4/12 + 2*p**3/3 - 12*p**2. Let o be g(-2). Solve -10 - 12*b + 10 - o - 4*b**2 = 0.
-2, -1
Let z = 1068 - 5339/5. Factor 0 - 1/5*x**2 + z*x.
-x*(x - 1)/5
Let i(p) be the third derivative of -p**6/480 - p**5/240 - 2*p**2 - 9*p. Factor i(t).
-t**2*(t + 1)/4
Let a(l) be the third derivative of l**7/315 - l**5/30 - l**4/18 - 169*l**2. Solve a(w) = 0 for w.
-1, 0, 2
Determine k so that 0 + 0*k + 8/9*k**2 + 2/9*k**4 - 10/9*k**3 = 0.
0, 1, 4
Suppose 0 = 6*j - 9*j, -5*j - 6 = -2*d. Let w(o) be the first derivative of 4*o**2 - 1 + 8*o + 2/3*o**d. Determine k, given that w(k) = 0.
-2
Let f(r) be the third derivative of r**5/60 + 17*r**4/8 + 10*r**2 - 14. Factor f(i).
i*(i + 51)
Let h = -69 - -73. Let u(d) be the third derivative of 1/144*d**h + 0*d**3 - 4*d**2 + 0*d + 1/1260*d**7 - 1/720*d**6 + 0 - 1/360*d**5. What is p in u(p) = 0?
-1, 0, 1
Let h(a) be the first derivative of -5/3*a**3 - 1/10*a**5 - 5*a - 2/3*a**4 - 2 - 2*a**2. Let v(y) be the first derivative of h(y). Factor v(b).
-2*(b + 1)**2*(b + 2)
Let b(m) = -m**2 + 5*m - 7. Let a be b(4). Let g be a/(-4) + 72/32. Determine j so that -4*j**3 + j**3 + j**3 - j**g = 0.
0
Let u be (-7 + (2 - 1))*(-11)/44. Factor u + 1/4*k**2 - 7/4*k.
(k - 6)*(k - 1)/4
Let b(p) = 3*p**2 - 6*p - 9. Let s(m) = -4*m**2 + 6*m + 10. Let d(c) = c**2 - 5*c - 7. Let u be d(7). Let j(q) = u*b(q) + 6*s(q). Solve j(h) = 0 for h.
-1
Let b(g) be the third derivative of g**8/784 - 4*g**7/245 + 3*g**6/70 + 27*g**5/70 - 27*g**4/8 + 81*g**3/7 - 2*g**2 - 192*g. Determine s, given that b(s) = 0.
-3, 2, 3
Let r(v) = -v**3 - 2*v**2 + 3*v + 4. Let l be r(-3). Let o(t) be the second derivative of 0 - 1/70*t**5 + 1/7*t**3 + 5*t + 0*t**l + 2/7*t**2. Factor o(m).
-2*(m - 2)*(m + 1)**2/7
Factor 9/2 - 1/2*u**2 + 0*u.
-(u - 3)*(u + 3)/2
Let x be (-14523)/(-4635) - (16/30)/4. Suppose -3*l - 1/3*l**x - 4/3 - 2*l**2 = 0. What is l?
-4, -1
Let m(o) be the second derivative of -o**4/6 - 61*o**3/3 + 3*o + 43. Suppose m(w) = 0. Calculate w.
-61, 0
Let k(v) be the first derivative of 2*v**6/3 - 292*v**5/5 + 1438*v**4 - 15544*v**3/3 + 7490*v**2 - 4900*v - 31. Suppose k(f) = 0. What is f?
1, 35
Let q(b) be the first derivative of -b**5/20 - 7*b**4/16 + 9*b**3/4 - 29*b**2/8 + 5*b/2 - 25. Factor q(s).
-(s - 1)**3*(s + 10)/4
Determine z so that 40*z + 2/5*z**5 + 58/15*z**2 - 58/5*z**3 - 2/15*z**4 - 40/3 = 0.
-5, -2, 1/3, 2, 5
Let f(h) be the second derivative of -h**5/40 - 2*h**4 - 31*h**3/4 - 23*h**2/2 + 26*h + 2. Find d, given that f(d) = 0.
-46, -1
Let g = 7 - 7. Determine p so that 81*p**4 - 3*p**3 + g*p**2 - 64*p**4 - 12*p**5 - 2*p**2 = 0.
-1/4, 0, 2/3, 1
Let h(x) = -x**2 + 5*x + 8. Let b be h(6). Let t = 214 + -211. Factor -8/5*g**t - 8/5*g - 2/5*g**4 - 12/5*g**b - 2/5.
-2*(g + 1)**4/5
Let h(l) = 9*l**2 - 54*l + 4. Suppose -3*g + 6 = -6. Let s(q) = 10*q**2 - 55*q + 5. Let r(z) = g*s(z) - 5*h(z). Factor r(w).
-5*w*(w - 10)
Let g(x) be the second derivative of 1/20*x**5 + 1/8*x**4 + 0 + 5*x - 5/2*x**2 - x**3. Let c(t) be the first derivative of g(t). Factor c(w).
3*(w - 1)*(w + 2)
Let w be 6/(-4) + 1551/990. Let a(r) be the third derivative of -1/50*r**5 - 1/20*r**4 - w*r**3 + r**2 + 0*r - 1/300*r**6 + 0. Factor a(d).
-2*(d + 1)**3/5
Let y be 5 + -1 + 0/4. Let j(d) be the second derivative of -1/110*d**5 + 1/33*d**y + 0 + 1/33*d**3 - 2/11*d**2 - 6*d. Let j(t) = 0. What is t?
-1, 1, 2
Let h = 112 + -110. Let j(v) = -6*v**3 - 2*v**2 + 2*v + 2. Let a(w) = w**5 + 12*w**3 + 3*w**2 - 5*w - 5. Let t(g) = h*a(g) + 5*j(g). Factor t(i).
2*i**2*(i - 2)*(i + 1)**2
Suppose 6*x = 2*x - 300. Let b be (-4 + (-290)/x)/((-1)/5). Determine v, given that 10/9*v - 4/9 + b*v**2 = 0.
-2, 1/3
Let y(a) be the first derivative of 2*a**5/5 - 9*a**4/2 + 18*a**3 - 31*a**2 + 24*a - 69. Factor y(f).
2*(f - 4)*(f - 3)*(f - 1)**2
Let c(d) be the second derivative of -3/100*d**5 + 3/5*d**4 + 0 - 24/5*d**3 + 96/5*d**2 + 8*d. Find z, given that c(z) = 0.
4
Suppose 30 = -2*s + 5*s. Let 6*a**2 + 11 - 11 - 5*a**3 + s*a - a**2 = 0. What is