5*s + 5 - 8/5*s**2 - 2/3*s**3. Let f(c) = 0. Calculate c.
-1, -3/5
Let u be (2 + -2)/(3 + -1 + 0). Let d(o) be the third derivative of 0*o + 0 + 1/16*o**4 - 1/40*o**5 - 5*o**2 + u*o**3. Suppose d(i) = 0. Calculate i.
0, 1
Let r(m) = 18*m**3 + 48*m**2 + 45*m + 9. Let t(x) = 37*x**3 + 97*x**2 + 88*x + 18. Let h(w) = -5*r(w) + 3*t(w). Suppose h(a) = 0. What is a?
-1, -3/7
Let b(r) = -5*r - 1. Let d be b(-1). Let i**2 + 93*i + 16 - 105*i - d*i**2 - i**2 = 0. What is i?
-4, 1
Let k = 471 - 941/2. Let f(d) be the third derivative of -3*d**2 - 1/24*d**4 + 1/20*d**5 + 1/120*d**6 + 0*d + 0 - k*d**3. Factor f(u).
(u - 1)*(u + 1)*(u + 3)
Let k be (10 + (-190)/20)*0. Let m(x) be the second derivative of 0*x**2 + 3*x + 3/10*x**5 + 0*x**3 + k + 1/10*x**6 + 1/4*x**4. Factor m(p).
3*p**2*(p + 1)**2
Let h(b) = 17*b**3 - 88*b**2 + 251*b + 6. Let o(g) = -155*g**3 + 795*g**2 - 2260*g - 55. Let d(m) = -55*h(m) - 6*o(m). Factor d(q).
-5*q*(q - 7)**2
Let a(j) = 2*j**2 + 7*j + 3. Let x be a(-4). Suppose -x*s + 13 = -8. Let -16/7 + 2/7*c**s - 8/7*c + 4/7*c**2 = 0. Calculate c.
-2, 2
Let j(v) be the second derivative of v**7/280 + 13*v**6/480 - 13*v**5/160 - v**4/8 + 14*v**3/3 + 12*v. Let r(d) be the second derivative of j(d). Factor r(k).
3*(k - 1)*(k + 4)*(4*k + 1)/4
What is w in 5*w**2 + 915 - 814*w - 108*w - 85 + 87*w + 0*w**2 = 0?
1, 166
Let y(p) be the second derivative of p**8/420 - p**7/105 + p**5/15 - p**4/6 + p**3/3 - 10*p. Let c(h) be the second derivative of y(h). Solve c(v) = 0.
-1, 1
Suppose -12*x - 20 = -1136. Let q = 96 - x. Factor -3/2*w**q + 0*w**2 + 0 + 3/2*w.
-3*w*(w - 1)*(w + 1)/2
Let l be (-2)/(6 - 12)*(18 + 0). Suppose -11*i + 7*i = 5*b + 6, 5*b - l = -i. Let 4/7*j + 2/7*j**3 + 6/7*j**b + 0 = 0. Calculate j.
-2, -1, 0
Suppose -4*c = -4*j - 16, 0*c = 3*c + 2*j - 17. Let u(q) = -3*q - 30. Let a be u(-11). Factor -3*i**2 + c*i**3 + 1 - 6*i - 1 - 2*i**a.
3*i*(i - 2)*(i + 1)
Let m be ((42/4)/1)/(((-1770)/(-40))/59). Find s such that -14/3*s**3 + 2/5*s**4 - 20/3 + 82/5*s**2 - m*s = 0.
-1/3, 2, 5
Find p, given that 13*p**2 - 28991 - 14725 - 18*p**2 - 40784 + 1300*p = 0.
130
Factor 5/2*w**2 + 245/2 + 35*w.
5*(w + 7)**2/2
Factor -2*r - 3/2 - 1/2*r**2.
-(r + 1)*(r + 3)/2
Let l be ((-546)/60 - -9)/(2*-1). Let u(i) be the second derivative of 0 - l*i**5 + 4*i - 1/90*i**6 + 0*i**3 - 1/18*i**4 + 0*i**2. Suppose u(m) = 0. What is m?
-2, -1, 0
Let l = -929/6 + -59/2. Let t = -6071/33 - l. Factor 0 + t*r + 2/11*r**2.
2*r*(r + 2)/11
Factor -5246 - 3*z**2 + 63*z + 165*z + 914.
-3*(z - 38)**2
Let a(i) be the second derivative of i**7/42 - 7*i**6/30 + 3*i**5/4 - 13*i**4/12 + 2*i**3/3 - 38*i - 1. Factor a(d).
d*(d - 4)*(d - 1)**3
Let s(o) be the second derivative of o**8/4200 - 2*o**7/525 + 4*o**6/225 - o**3/2 - 5*o**2/2 - 8*o - 2. Let r(i) be the second derivative of s(i). Factor r(b).
2*b**2*(b - 4)**2/5
Let v(k) be the first derivative of -5/4*k**4 - k**3 + 9/2*k**2 - 1/5*k**5 + 3 + 0*k. Factor v(n).
-n*(n - 1)*(n + 3)**2
Let r be ((-7)/((-35)/6))/((-14)/(-35)). Find d, given that 3*d**2 - 5*d**3 + 8*d + 6*d**3 + 16 + 0*d**r - 10*d**2 = 0.
-1, 4
Let r(n) = 7*n - 116. Suppose m = -3*p + 54, -2*p - 5*m = -p - 32. Let j be r(p). Find y such that -9*y**2 - 3/2 - 6*y - 3/2*y**4 - 6*y**j = 0.
-1
Let p be 45 + -40 - 68/16. Factor 3/4*y - 3/4*y**2 - p*y**3 + 3/4.
-3*(y - 1)*(y + 1)**2/4
Let l = 14045/7 + -2014. Let m = -99/14 - l. Factor m*g**2 - g + 0.
g*(g - 2)/2
Let s(x) = -3*x**2 + 2*x - 14. Let v be s(6). Let w = -548/5 - v. What is k in 1/5*k**3 + w*k + 3/5*k**2 + 0 = 0?
-2, -1, 0
Let z(u) be the second derivative of -u**6/288 + 19*u**5/240 + u**4/6 + 16*u**3/3 - 11*u. Let f(i) be the second derivative of z(i). Solve f(x) = 0.
-2/5, 8
Factor 1/5*t**3 - 3*t - 12/5*t**2 + 26/5.
(t - 13)*(t - 1)*(t + 2)/5
Let v(o) be the second derivative of -o**5/110 + 4*o**4/33 - o**3/3 - 20*o**2/11 + 97*o. Let v(r) = 0. What is r?
-1, 4, 5
Let c(m) be the third derivative of m**7/70 + 3*m**6/8 + 39*m**5/20 + 37*m**4/8 + 6*m**3 - 87*m**2. Factor c(o).
3*(o + 1)**3*(o + 12)
Let q(c) = 11 - 3 - c**2 - 1 + 2*c - 5. Let a(x) = 1. Let l(i) = -2*a(i) + q(i). Factor l(j).
-j*(j - 2)
Let r(h) = 2*h**4 - h + 1. Let l(q) = -30*q**4 - 14*q**3 - 34*q**2 - 20*q - 26. Let s(w) = -2*l(w) - 28*r(w). Factor s(k).
4*(k + 1)**2*(k + 2)*(k + 3)
Let q = -41/5 + 87/10. Let g(b) be the third derivative of 0*b + 1/12*b**4 - 1/60*b**5 + b**2 + q*b**3 + 0. Solve g(s) = 0 for s.
-1, 3
Let o = 56 + -50. Factor -14*y**2 + 6*y - 7*y + o*y - y**2.
-5*y*(3*y - 1)
Suppose o - 5*g + 4 = 0, 2*g + 0 = -2*o + 4. Solve 493*h**2 - o - 494*h**2 + 2 = 0 for h.
-1, 1
Let o(j) be the first derivative of -27*j**6/2 - 54*j**5/5 + 117*j**4/4 + 26*j**3 - 18*j**2 - 24*j - 81. Solve o(k) = 0 for k.
-1, -2/3, 2/3, 1
Let o be (-6)/(-9) + ((-468)/80)/9. Let c(p) be the second derivative of 1/18*p**3 - o*p**5 + 0*p**2 - 1/36*p**4 + 4*p + 0 + 1/90*p**6. Factor c(d).
d*(d - 1)**2*(d + 1)/3
Let i(t) = 15*t**2 + 16*t - 40. Let q(z) = -7*z**2 - 9*z + 20. Let f(x) = 4*i(x) + 9*q(x). Factor f(r).
-(r - 1)*(3*r + 20)
Let d(w) be the first derivative of w**4/18 - 8*w**3/27 - 7*w**2/9 + 20*w/9 + 233. Find z such that d(z) = 0.
-2, 1, 5
Let s be (0 - -5)/((-2)/18). Let f = s - -47. Factor 0 + 1/2*m**f - 1/2*m.
m*(m - 1)/2
Let z(h) = -10*h + 462. Let k be z(46). Factor 8*s + 0 + 1/2*s**3 + 4*s**k.
s*(s + 4)**2/2
Let d(m) be the second derivative of 243*m**5/80 - 261*m**4/8 + 55*m**3/2 - 9*m**2 + 97*m. Solve d(f) = 0 for f.
2/9, 6
Let d = -216 + 220. Let n(k) be the first derivative of 0*k**2 + 0*k + 0*k**5 + 0*k**d - 1/3*k**6 + 0*k**3 - 4. Solve n(f) = 0 for f.
0
Let s(v) be the third derivative of -v**8/21 - 22*v**7/105 - v**6/30 + 13*v**5/15 + 5*v**4/6 - 4*v**3/3 - 7*v**2 + 6. Solve s(r) = 0.
-2, -1, 1/4, 1
Let r(w) = w + 3. Let u be r(0). Let d be (6/9)/(6/27). Determine h so that 2*h**u - 4*h + 2*h - d*h**5 + 2*h**5 + h = 0.
-1, 0, 1
Let c(i) be the second derivative of 5*i**7/42 + 7*i**6/6 + 19*i**5/4 + 125*i**4/12 + 40*i**3/3 + 10*i**2 + 8*i + 5. Solve c(n) = 0.
-2, -1
Let z(d) be the first derivative of d**5/5 + 13*d**4/4 - 29*d**3/3 + 15*d**2/2 + 90. Solve z(m) = 0 for m.
-15, 0, 1
Let g(a) = -164*a**2 + 53*a - 10. Let i(v) = v**2 - v + 3. Let k(d) = -3*g(d) - 6*i(d). Factor k(m).
3*(6*m - 1)*(27*m - 4)
Factor 24 - 15*q + 16 + 100*q**2 - 50.
5*(4*q + 1)*(5*q - 2)
Suppose 11*s**3 - 4/3*s**2 - 12*s - 16/3 + 20/3*s**4 + s**5 = 0. What is s?
-4, -2, -1, -2/3, 1
Determine d, given that -38/3*d**3 + 1/3*d**5 - 1/3*d**4 + 135*d + 225 - 6*d**2 = 0.
-3, 5
Let s(p) = p**2 + p - 6. Let n be s(0). Let a = 8 + n. Suppose a*r**2 - 2 - 4*r - r + 4*r - r**2 = 0. Calculate r.
-1, 2
Let o(x) = -x**3 + 2*x**2 + x + 4. Suppose 4*a - 18 = -5*a. Let z(d) = d**3 - 3*d**2 - 5. Let s(v) = a*z(v) + 3*o(v). Find l, given that s(l) = 0.
-1, 2
Let v(n) be the third derivative of -n**6/120 + n**5/6 - 19*n**4/24 - 5*n**3 - 90*n**2. Determine z so that v(z) = 0.
-1, 5, 6
Let n(j) = -4*j**3 + 15*j**2 - 7*j + 4. Let w(u) = 8*u**3 - 29*u**2 + 14*u - 7. Let l(y) = -7*n(y) - 4*w(y). Let l(z) = 0. Calculate z.
0, 1, 7/4
Let y(k) be the first derivative of -k**4/3 - 4*k**3/3 + 3*k - 5. Let t(p) be the first derivative of y(p). Factor t(n).
-4*n*(n + 2)
Let -2/7*m**2 + 8/7 - 4/7*m + 1/7*m**3 = 0. Calculate m.
-2, 2
Let t = 31 - 18. Determine l, given that -6*l + t*l**2 - 11*l + 15*l = 0.
0, 2/13
Let i = -15058 + 75296/5. Factor i*l**3 - 6/5 + 6/5*l**2 - 6/5*l.
6*(l - 1)*(l + 1)**2/5
Let y(u) be the third derivative of -u**7/630 + u**6/90 - u**5/30 - 11*u**4/24 + 12*u**2. Let w(l) be the second derivative of y(l). Factor w(x).
-4*(x - 1)**2
Let l(j) be the third derivative of -j**8/140 - 3*j**7/70 - 3*j**6/50 + j**5/25 + j**2 + 68. Solve l(o) = 0.
-2, 0, 1/4
Let y(d) = d**3 + 4*d**2 + 2*d - 2. Let p be y(-2). Suppose 75*h**p + 8*h**4 - h - 5*h**3 - 78*h**2 + h = 0. Calculate h.
-3/8, 0, 1
Suppose 27*s**3 + 127*s**2 - 37*s**2 + 132*s + 10 + 3*s**4 + 23 + 39 = 0. Calculate s.
-3, -2
Let w(a) be the third derivative of a**8/1344 - a**7/420 - a**6/160 + 49*a**2. Factor w(l).
l**3*(l - 3)*(l + 1)/4
Suppose -2*s + 21 = 1. Factor -4*u**3 + s*u**3 - 14*u**2 - 5*u**4 + 5*u - u**2 + 9*u**3.
-5*u*(u - 1)**3
Let p(d) be the second derivative of 1/3*d**4 - 12*d + 0*d**2 + 4/3*d**3 + 0. De