r.
-1, 0, 6
Let z be (-2)/(-49)*7 - 262/(-14). Let p = z - 56/3. Solve p + 1/6*w**2 - 1/2*w = 0 for w.
1, 2
Let d(s) be the second derivative of 5*s**4/24 + 25*s**3/2 - 786*s. Factor d(h).
5*h*(h + 30)/2
Determine k, given that -2*k**4 - 99 + 120*k + 27 - 60*k**2 + 20*k**3 - 14*k**2 = 0.
2, 3
What is q in 1155/4*q - 1225/4 + 1/4*q**3 + 69/4*q**2 = 0?
-35, 1
Let h(x) = x + 20. Let l(n) = 8*n + 20. Let p be l(-5). Let g be h(p). Factor -2/5*t**2 + g + 6/5*t.
-2*t*(t - 3)/5
Let p(y) be the second derivative of y**6/24 + 17*y**5/80 + 19*y**4/48 + 7*y**3/24 - 3*y + 2. Factor p(n).
n*(n + 1)**2*(5*n + 7)/4
Factor 4/5*m - 1/5*m**2 + 1/5*m**4 - 4/5*m**3 + 0.
m*(m - 4)*(m - 1)*(m + 1)/5
Let g(j) = -11*j**2 - 138*j + 71. Let m be g(-13). Factor m*r**3 - 2*r + 7/5*r**4 - 27/5*r**2 + 0.
r*(r - 1)*(r + 5)*(7*r + 2)/5
Let j(z) be the third derivative of 0 + 0*z - 1/20*z**5 - 8*z**2 + 3/2*z**4 - 18*z**3. Factor j(m).
-3*(m - 6)**2
Let i(d) be the second derivative of -14*d + 40/3*d**4 + 0 - 7/5*d**5 + 28*d**2 + 122/3*d**3. Factor i(p).
-4*(p - 7)*(p + 1)*(7*p + 2)
Let u(a) = 7. Let n(z) = -5*z**2 - 695*z + 721. Let m(x) = -n(x) + 3*u(x). Factor m(s).
5*(s - 1)*(s + 140)
Let s(y) be the first derivative of -26 - 3/4*y**4 - 8*y**3 + 3/5*y**5 + 18*y**2 + 0*y. Solve s(u) = 0.
-3, 0, 2
Factor -240*s - 8145*s**2 - 8*s**3 + 4*s**3 + 8989*s**2 - 10*s**3.
-2*s*(s - 60)*(7*s - 2)
Let a(l) be the second derivative of l**5/180 - 13*l**4/108 + 8*l**3/9 - 2*l**2 + 11*l + 3. Determine w so that a(w) = 0.
1, 6
Let l(n) be the second derivative of -n**5/80 + n**4/48 + 199*n. Factor l(m).
-m**2*(m - 1)/4
Let f(j) be the first derivative of 2*j**3/15 - 26*j**2/5 + 338*j/5 + 6. Let f(w) = 0. What is w?
13
Let x be (-16)/(-56) - 222/(-105). Let t = 53/20 - x. Factor t*z**4 + 1/4*z**3 + 0 - 1/4*z**2 + 0*z - 1/4*z**5.
-z**2*(z - 1)**2*(z + 1)/4
Let z(c) be the first derivative of -c**3/9 - 3*c**2/2 - 8*c/3 + 314. Factor z(u).
-(u + 1)*(u + 8)/3
Let u(g) be the second derivative of 5/4*g**4 + 2*g**3 + 0*g**2 - 22*g + 0 + 3/20*g**5. Factor u(r).
3*r*(r + 1)*(r + 4)
Let c = -321 - -325. Let y(m) be the first derivative of 2*m + 1/6*m**3 + c + m**2. Factor y(t).
(t + 2)**2/2
Let y(f) be the first derivative of -f**5 - 15*f**4/2 - 5*f**3/3 + 60*f**2 - 80*f + 73. Factor y(t).
-5*(t - 1)**2*(t + 4)**2
Suppose -16/7*o - 2/7*o**2 - 2 = 0. Calculate o.
-7, -1
Let w = 2081/2 + -1039. Factor -x**2 + 0 - 1/4*x**5 - 1/4*x - w*x**3 - x**4.
-x*(x + 1)**4/4
Suppose 0*q + 8*q = 11*q. Let m(v) be the second derivative of 0*v**2 + 0*v**3 + q + 1/80*v**5 + 1/24*v**4 + 13*v - 1/120*v**6. Factor m(h).
-h**2*(h - 2)*(h + 1)/4
Factor 3/2*i**3 - 165/2*i - 117 + 36*i**2.
3*(i - 3)*(i + 1)*(i + 26)/2
Let 2*o**2 + 42050 + 190*o - 474*o - 296*o = 0. What is o?
145
Let x be 3/(-3)*(-22)/77. Let r be (1 + -7)*(-2)/28. Suppose -x - r*k - 1/7*k**2 = 0. What is k?
-2, -1
Suppose -5*q - 13 = -88. Let k = q - 13. Factor -2*l**k + 11*l**2 - 21 - 3*l**3 + 9.
-3*(l - 2)**2*(l + 1)
Let b(m) be the second derivative of 0*m**4 + 3/20*m**5 + 0 + 0*m**2 + 3*m - 1/2*m**3. What is h in b(h) = 0?
-1, 0, 1
Let r(b) be the third derivative of 0*b**4 - 1/30*b**5 - 2/105*b**7 + 0*b**3 + 1/24*b**6 + 1/336*b**8 + 0 + 8*b**2 + 0*b. Factor r(x).
x**2*(x - 2)*(x - 1)**2
Let k be ((162/48)/(-27))/((-1)/12). Let n(i) be the first derivative of 0*i**2 + 2/5*i**5 - 7 + 4/3*i**3 - k*i**4 + 0*i. Factor n(q).
2*q**2*(q - 2)*(q - 1)
Let a(y) be the first derivative of -y**7/525 + 13*y**6/600 - y**5/50 + 9*y**2 - 22. Let x(g) be the second derivative of a(g). What is m in x(m) = 0?
0, 1/2, 6
Let -12*t + 74*t**3 + t**3 - 18*t**3 - 8*t**2 - 21*t**4 - 16*t**2 = 0. Calculate t.
-2/7, 0, 1, 2
Let n be 0 - (-1 + (-1144)/(-12)). Let w = 95 + n. Determine f, given that -w*f + 0 + 1/3*f**2 = 0.
0, 2
Let h(j) be the third derivative of -2*j**5/105 + 29*j**4/84 - 10*j**3/7 + 3*j**2 - 11*j. Let h(y) = 0. What is y?
5/4, 6
Let m(o) be the first derivative of -o**6/24 - o**5/6 + 5*o**4/8 - 5*o**2/2 + 10. Let s(w) be the second derivative of m(w). Factor s(h).
-5*h*(h - 1)*(h + 3)
Let v(b) be the third derivative of 2*b**7/105 + 3*b**6/10 + 2*b**5 + 22*b**4/3 + 16*b**3 - 2*b**2 + 61*b. Solve v(k) = 0 for k.
-3, -2
Suppose -5*m + 17 = 4*p, m + 2 = -0*m + p. Let h(n) = 5*n**2 - 1. Let g be h(m). Factor 4*f**2 - 5 + 0 + g*f - 3.
4*(f - 1)*(f + 2)
Let v(z) be the third derivative of -z**7/70 + z**6/40 + 3*z**5/4 + 23*z**4/8 + 5*z**3 + 115*z**2. Let v(p) = 0. Calculate p.
-2, -1, 5
Suppose -21*h = -17*h - 16. Let l(b) be the third derivative of 0 + 1/4*b**4 + 3/2*b**3 + 1/60*b**5 + 0*b + h*b**2. Factor l(z).
(z + 3)**2
Find x such that -104*x - 8112 - 1/3*x**2 = 0.
-156
Let k(q) = -5*q - 7. Let i be k(-2). Suppose u + 8 = 5*n - 5, 3*u - 15 = -i*n. Determine p, given that 0*p - 1/5*p**u + 1/5 = 0.
-1, 1
Suppose 0 = 5*r - p - 14, -4*p + 8 = r + 1. Let y(m) be the second derivative of 0*m**2 + 5*m - 1/3*m**r + 0 - 1/12*m**4. Find h, given that y(h) = 0.
-2, 0
Let q(t) be the first derivative of -t**5/36 + 55*t**4/72 + 11*t**2 + 2*t - 55. Let i(l) be the second derivative of q(l). Factor i(j).
-5*j*(j - 11)/3
Let q = -3812 - -3815. Solve 0 - 6*u**3 + 0*u + q*u**4 + 12/7*u**5 + 9/7*u**2 = 0 for u.
-3, 0, 1/4, 1
Let g(p) be the second derivative of p**4/36 - 10*p**3/3 + 3*p + 37. Factor g(u).
u*(u - 60)/3
Let v(y) be the third derivative of 0*y**3 + 0*y + 23*y**2 + 1/270*y**5 + 1/540*y**6 - 1/54*y**4 + 0. Factor v(c).
2*c*(c - 1)*(c + 2)/9
Let a(n) be the third derivative of -n**8/252 + 4*n**7/315 + 2*n**6/5 + 86*n**5/45 + 77*n**4/18 + 16*n**3/3 + 288*n**2. Find s, given that a(s) = 0.
-3, -1, 8
Solve 0 + 156/7*l**2 - 3*l**5 + 36/7*l + 93/7*l**3 - 48/7*l**4 = 0.
-3, -1, -2/7, 0, 2
Let v(n) = n**2 - 16*n - 17. Let a be v(17). Suppose 3*l + 2*j - 34 = a, l + l - 3*j - 1 = 0. Factor -1 - 5 + 0 - 11*t**2 + l*t**2 - 9*t.
-3*(t + 1)*(t + 2)
Let x(k) be the second derivative of -1/4*k**3 - 8*k + 0*k**2 + 1/4*k**4 + 0 - 3/40*k**5. Let x(z) = 0. What is z?
0, 1
Factor 30*u**2 + 89*u**3 - 86*u**3 + u - u + 0*u.
3*u**2*(u + 10)
Suppose 2*h**2 + 112*h + 7*h**2 - 5*h**2 + 784 = 0. What is h?
-14
Let l(u) be the third derivative of 1/1620*u**6 + 1/270*u**5 + 5/6*u**3 - 1/36*u**4 + 0 - 6*u**2 + 0*u. Let q(a) be the first derivative of l(a). Factor q(r).
2*(r - 1)*(r + 3)/9
Suppose 416 = 6*n + 2*n. Let -271*w**4 - 448*w**3 - 5 + 15*w**4 - n*w - 240*w**2 + 1 = 0. Calculate w.
-1, -1/4
Let u be 4 - 4*(-8)/48. Factor -10/3*q**2 - u*q - 4/3.
-2*(q + 1)*(5*q + 2)/3
Let x(i) be the second derivative of -2*i**2 - 3/40*i**5 - 1/3*i**3 + 7*i + 5/12*i**4 + 0. Factor x(w).
-(w - 2)**2*(3*w + 2)/2
Let b = -922 + 924. Let n(a) be the first derivative of -1/9*a**3 + 0*a**b - 1/36*a**4 + 3 + 0*a. Factor n(o).
-o**2*(o + 3)/9
Suppose 0 = -4*r + 7 + 9. Determine v, given that -v**r - 2*v**4 + 3*v**2 + 6*v**3 + 9*v**3 - 6*v**3 - 9*v = 0.
-1, 0, 1, 3
Factor 368/5*f - 4/5*f**2 - 8464/5.
-4*(f - 46)**2/5
Factor 1/4*m**2 + 11449 - 107*m.
(m - 214)**2/4
Let r = 311 + -311. Let q(g) be the first derivative of r*g + 0*g**2 + 0*g**3 + 1/21*g**6 + 0*g**4 - 4/35*g**5 - 8. Factor q(n).
2*n**4*(n - 2)/7
Let q(a) be the first derivative of a**4/42 + 16*a**3/63 - 25*a**2/7 + 12*a - 93. Factor q(c).
2*(c - 3)**2*(c + 14)/21
Let x = -16465 + 16467. What is m in -2/5*m**x + 4*m - 10 = 0?
5
Suppose 11*a - 12 = 17*a. Let t be a/(-20)*(4 - 9)/(-1). Determine y so that -t - 11/2*y - 121/8*y**2 = 0.
-2/11
Let z(k) be the third derivative of k**5/60 - 2*k**4/3 + 14*k**3/3 + 45*k**2. Find t, given that z(t) = 0.
2, 14
Let q(c) be the first derivative of -c**5 + 5*c**4/2 + 5*c**3/3 - 5*c**2 + 15. Factor q(f).
-5*f*(f - 2)*(f - 1)*(f + 1)
Suppose 10 = 4*o + 6. Let b(y) = 9*y**3 + 6*y**2 - 15*y. Let i(d) = d**3 - d**2. Let j(s) = o*b(s) - 3*i(s). Factor j(a).
3*a*(a - 1)*(2*a + 5)
Let m(u) be the third derivative of -u**9/20160 + u**8/2240 - u**7/840 + u**5/30 - 5*u**2. Let j(l) be the third derivative of m(l). Factor j(a).
-3*a*(a - 2)*(a - 1)
Let l(x) be the second derivative of -x**6/360 + x**5/20 - 3*x**4/8 + x**3/3 + 5*x. Let q(t) be the second derivative of l(t). Factor q(j).
-(j - 3)**2
Suppose 10 = -z - 4*f, 3*f + 0*f = -z - 7. Suppose -z*u = 0, 0*a - u - 12 = -4*a. Factor 3*d**5 - 6*d**3 + 4*d**3 + 4*d**3 - 3*d**4 - 