r 0 + 1/7*p**3 + 0*p**h + 0*p + 1/7*p**4.
p**3*(p + 1)/7
Let j(h) = h**5 - h**3 + 5*h**2 - 2. Let z(b) = -b**4 + b**3 - b**2 - b + 1. Let t be (14 + -15)/(1/1). Let w(u) = t*j(u) - 3*z(u). Factor w(c).
-(c - 1)**4*(c + 1)
Let c(n) = 7*n - 8. Let a be c(12). Let w = -76 + a. Factor -x**2 + w + 3/4*x + 1/4*x**3.
x*(x - 3)*(x - 1)/4
Let j(s) = -7*s**3 - 37*s**2 + 42*s + 144. Let c(w) = -78*w**3 - 411*w**2 + 462*w + 1584. Let t(o) = 4*c(o) - 45*j(o). Factor t(g).
3*(g - 3)*(g + 2)*(g + 8)
Let i(w) = -w**3 - w**2 + w + 1. Let n(b) = -b**5 + 5*b**4 - 13*b**3 - 9*b**2 + 9*b + 9. Let j(c) = -18*i(c) + 2*n(c). Let j(h) = 0. Calculate h.
0, 1, 4
Let z be (52/6)/(-13) - (-16)/21. Suppose 8/21*l**2 - 4/21 + 2/7*l**3 - z*l = 0. What is l?
-1, 2/3
Let x(h) be the third derivative of -h**6/240 + 19*h**5/120 - 35*h**4/48 + 17*h**3/12 + 157*h**2 + 2. Solve x(p) = 0.
1, 17
Let g(z) be the third derivative of 0*z**5 + 0*z**3 + 0 + 29*z**2 - 1/1050*z**7 + 1/600*z**6 + 0*z + 0*z**4. Let g(s) = 0. Calculate s.
0, 1
Let y = -27 + 32. Let f(z) = -32*z**3 - 1. Let i be f(-1). Factor 11*a + 15 - 35 - i*a - y*a**2.
-5*(a + 2)**2
Let t = 14027 + -14024. Factor -81/4 - 19/4*v**2 - 1/4*v**t - 99/4*v.
-(v + 1)*(v + 9)**2/4
Factor 9*j**2 + 3/4*j**3 + 0*j + 0.
3*j**2*(j + 12)/4
Let n(q) = -2*q**2 - 17*q - 7. Let j(r) = r**2 + 8*r + 3. Let h be 1/4 + 69/12. Let s(p) = p + 4. Let i be s(9). Let o(b) = h*n(b) + i*j(b). Factor o(y).
(y - 1)*(y + 3)
Let f = -5300 - -58302/11. Let f*m**3 + 0 - 2/11*m + 0*m**2 = 0. What is m?
-1, 0, 1
Let y = -33/37 + 527/259. Let u be (-2736)/(-11172)*((-98)/(-4))/7. Factor -y*x**2 + 0 - u*x - 2/7*x**3.
-2*x*(x + 1)*(x + 3)/7
Let g(t) be the first derivative of -t**5/60 + t**4/6 - 2*t**3/3 - 3*t**2 - 2. Let y(v) be the second derivative of g(v). Factor y(m).
-(m - 2)**2
Let f be 2/(-4) - (34 - 36). Factor -18*d**2 + f*d**3 + 54*d + 0.
3*d*(d - 6)**2/2
Factor 123/5*l**2 - 3/5*l - 123/5 + 3/5*l**3.
3*(l - 1)*(l + 1)*(l + 41)/5
Let x(h) = 3*h**2 - 4*h + 1. Let o be x(1). Suppose -3*j = 2*j - 3*n - 9, o = j + 3*n + 9. Solve 0*t**2 + j - 2/5*t**3 + 0*t = 0 for t.
0
Let v(r) be the second derivative of -2*r**6/15 + 101*r**5/50 - 109*r**4/15 + r**3/15 + 42*r**2/5 + 167*r + 1. What is z in v(z) = 0?
-2/5, 1/2, 3, 7
Let j = 4/37 - 43/740. Let a(k) be the second derivative of 0 + 1/12*k**4 + 0*k**2 + 0*k**3 - j*k**5 + 3*k. Factor a(v).
-v**2*(v - 1)
Let h(t) = -t**3 + 3*t**2 + 5*t - 2. Let p = 5 + -1. Let k be h(p). Find c, given that 37*c**3 - 39*c**3 + 2*c**4 - 3 + 2*c - k*c**2 + 3 = 0.
-1, 0, 1
Let f(m) be the first derivative of -6*m**5/5 + 5*m**4/2 + 2*m**3/3 - 5*m**2 + 4*m - 54. Find i, given that f(i) = 0.
-1, 2/3, 1
Suppose 10896 = 305*g + 3576. Factor -g*f + 3/2*f**2 + 96.
3*(f - 8)**2/2
Let t(p) be the second derivative of p**7/1120 - p**6/480 - p**3 + 18*p. Let m(x) be the second derivative of t(x). Suppose m(w) = 0. What is w?
0, 1
Let g = -18 + 20. Factor -u + 7*u + 0 - u**g + 0*u - 9.
-(u - 3)**2
Let y(u) be the third derivative of -u**7/210 + u**6/60 + u**5/20 - u**4/3 + 2*u**3/3 - 17*u**2 - 5. Factor y(j).
-(j - 2)*(j - 1)**2*(j + 2)
Let q(o) = o**2 + 7*o + 2. Let d be q(-7). Let w(a) be the first derivative of 3*a - 3 - 2*a + d*a - 2 - a**3. Determine v, given that w(v) = 0.
-1, 1
Let w(r) be the second derivative of 343*r**5/50 - 392*r**4/5 + 1792*r**3/5 - 4096*r**2/5 + 3*r - 13. Let w(o) = 0. What is o?
16/7
Let b = -7819 - -7819. Suppose 3/5*q**4 + b*q + 2/5*q**3 + 0 + 1/5*q**5 + 0*q**2 = 0. Calculate q.
-2, -1, 0
Let a = -364 - -367. Let j(n) be the first derivative of -1/2*n**2 + 1/18*n**3 + 3/2*n - a. Determine p, given that j(p) = 0.
3
Suppose 5*r = -3*c + 15, -4*r + 4*c - 3 = 17. Let s(v) be the third derivative of r - 1/12*v**4 - 10*v**2 + 0*v**3 + 0*v - 1/90*v**5. Factor s(w).
-2*w*(w + 3)/3
Let d(b) be the first derivative of -b**6/24 + 2*b**5/5 + 9*b**4/2 + 79*b**3/6 + 137*b**2/8 + 21*b/2 - 202. Factor d(a).
-(a - 14)*(a + 1)**3*(a + 3)/4
Factor 35*q**2 + 2*q - 44 + 38*q + 0*q - 36 + 5*q**3.
5*(q - 1)*(q + 4)**2
What is a in -8 + 2/3*a**2 + 22/3*a = 0?
-12, 1
Let n(y) be the second derivative of -y**4/12 - y**3/2 - 26*y. Let k(w) = -w**2 - 2*w. Let u = 6 + -4. Let s(b) = u*n(b) - 3*k(b). Factor s(z).
z**2
Suppose 0 = l + 4*i - 8, -5*l + 3*i = -0*l - 63. Suppose 3*f - l = -0*f. Solve -2*d + 6*d + 2*d**2 + 2*d**3 + f*d**2 = 0 for d.
-2, -1, 0
Let c(o) be the second derivative of 3*o**5/100 - 3*o**4/20 - 5*o**3/2 - 63*o**2/10 + 155*o. Factor c(t).
3*(t - 7)*(t + 1)*(t + 3)/5
Let i(k) be the third derivative of k**5/510 + 23*k**4/204 - 12*k**2. Let i(b) = 0. Calculate b.
-23, 0
Let k(a) be the first derivative of -a**6/6 - 32*a**5/25 - 8*a**4/5 + 22*a**3/15 + 37*a**2/10 + 2*a - 25. Let k(f) = 0. What is f?
-5, -1, -2/5, 1
Let k(p) be the first derivative of -p**4/7 + 8*p**3/7 - 22*p**2/7 + 24*p/7 + 15. Factor k(t).
-4*(t - 3)*(t - 2)*(t - 1)/7
Let c(g) be the third derivative of -g**8/80 + 6*g**7/175 + 11*g**6/200 - 3*g**5/25 - g**4/10 - 467*g**2. What is z in c(z) = 0?
-1, -2/7, 0, 1, 2
Suppose -3*c = -4*c + 7. Find n such that 4 + c*n + 8*n - 4*n**2 + 2*n**2 - 2*n**2 = 0.
-1/4, 4
Let u(z) be the second derivative of -z**6/60 + 3*z**5/40 - z**4/12 - 6*z + 23. Factor u(x).
-x**2*(x - 2)*(x - 1)/2
Suppose 205*z = 202*z - 372. Let k = -122 - z. Factor 23/2*g**2 + 3/2*g**4 + 7*g**3 + k + 8*g.
(g + 1)**2*(g + 2)*(3*g + 2)/2
Suppose 70 + 188 = 98*h + 62. Determine j so that 0 + 1/10*j**3 - 1/10*j**4 + 1/10*j**h - 1/10*j = 0.
-1, 0, 1
Let v(y) = 18*y**2 + 95*y + 27. Let k be v(-5). Find u, given that 0*u**k - 8/3*u + 2*u**3 - 2/3*u**4 + 0 = 0.
-1, 0, 2
Let r(i) be the first derivative of -3/35*i**5 + 11 + 0*i - 9/28*i**4 - 3/7*i**3 - 3/14*i**2. Suppose r(o) = 0. What is o?
-1, 0
Let f = 34/175 - -389/700. Factor 0 - 3*w + 3*w**2 - f*w**3.
-3*w*(w - 2)**2/4
Let j(s) be the second derivative of -3*s**5/80 - 5*s**4/36 - s**3/18 + 4*s - 6. Factor j(b).
-b*(b + 2)*(9*b + 2)/12
Suppose -64 - 8 = -6*z. Let -10*p**2 + z*p**2 + 4*p**3 - 22*p**2 = 0. Calculate p.
0, 5
Let m(o) = 2*o**2 + 2*o + 1. Let l(r) = -17*r**2 - 21*r - 13. Let c(s) = 4*l(s) + 36*m(s). Factor c(x).
4*(x - 4)*(x + 1)
Let v(x) be the second derivative of x**5/450 - x**3/45 - 7*x**2/2 + 5*x. Let c(q) be the first derivative of v(q). Factor c(t).
2*(t - 1)*(t + 1)/15
Suppose 1/6*r**2 + 0 + 1/6*r**3 - 1/3*r = 0. What is r?
-2, 0, 1
Let m = -303 - -451. Let b = m - 291/2. Suppose 1 - 3/2*r**4 + 1/2*r**2 - 5/2*r**3 + b*r = 0. What is r?
-1, -2/3, 1
Let s(q) = q**2 - 908*q - 619. Let k(a) = 910*a + 618. Let r(i) = -7*k(i) - 6*s(i). What is f in r(f) = 0?
-153, -2/3
Let r = 265 + -280. Let s be 1 + 70/r + 4. Suppose 0 + 0*a**3 - 1/6*a**5 - 1/3*a**4 + 1/6*a + s*a**2 = 0. What is a?
-1, 0, 1
Factor 1/2*l**4 + 1/2*l**2 + 0 + 0*l + l**3.
l**2*(l + 1)**2/2
Let o = 6297 - 12895/2. Let h = o + 151. Factor 1/2*y**4 - h*y**2 + 1/2*y + 0 - 1/2*y**3.
y*(y - 1)**2*(y + 1)/2
Let a(q) = 3*q**3 + 60*q**2 + 125*q + 60. Let w(b) = -14*b**3 - 240*b**2 - 501*b - 239. Let l(i) = -9*a(i) - 2*w(i). Determine y so that l(y) = 0.
-1, 62
Let o(m) be the first derivative of -1/660*m**6 + 0*m - 3/2*m**2 + 1/165*m**5 - 1/132*m**4 + 0*m**3 - 4. Let w(n) be the second derivative of o(n). Factor w(z).
-2*z*(z - 1)**2/11
Determine p, given that 80 - 321/2*p + 81*p**2 - 1/2*p**3 = 0.
1, 160
Let m(w) be the second derivative of w**4/16 + 7*w**3/2 + 68*w. Determine p so that m(p) = 0.
-28, 0
Suppose -2*t = 4, u - 74 = -5*t + 13. Factor 5*r**2 + u + 4*r - 105 - r**2.
4*(r - 1)*(r + 2)
Let l(t) be the first derivative of t**4/2 + 74*t**3/21 - 88*t**2/7 - 8*t + 513. Solve l(g) = 0 for g.
-7, -2/7, 2
Find y, given that -3 - 7/4*y**3 - 51/4*y**2 - 14*y = 0.
-6, -1, -2/7
Let d(y) be the third derivative of -y**6/240 - y**5/30 - 5*y**4/48 - y**3/6 - 15*y**2 + 1. Find n such that d(n) = 0.
-2, -1
Let -8/5*y**2 + 2*y + 0 - 2/5*y**3 = 0. What is y?
-5, 0, 1
Factor 1/8*c**2 + 3249/2 + 57/2*c.
(c + 114)**2/8
Let a(r) = -r**3 - 6*r**2 - 3*r - 15. Let k be a(-6). Let u be (-3 + 21/9)*-3. Factor 4*z - 5*z**3 + 4*z**k - u*z - z.
-z*(z - 1)*(z + 1)
Let l(f) be the second derivative of f**7/294 - f**6/35 + 2*f**5/35 + f**4/42 - 3*f**3/14 + 2*f**2/7 - 148*f + 2. Suppose l(m) = 0. What is m?
-1, 1, 4
Factor -2/9*p**3 - 4/9*p**2 + 0 + 0