5/12*t**4 + 0 + 1/4*t**5. Factor f(u).
5*u**2*(u + 1)
Let 1/4*u**5 + 29*u**2 + 61/4*u**3 + 8 + 7/2*u**4 + 25*u = 0. Calculate u.
-8, -2, -1
Let t = 47 - 32. Let k be (-8)/(-6)*t/(-10) + 4. Find v, given that 2/9*v**k - 4/9*v + 2/9 = 0.
1
Suppose 2/7*l**3 + 16/7*l**2 + 32/7 + 40/7*l = 0. What is l?
-4, -2
Let m = 17168/45 - 3430/9. Factor 3/5*s + m + 1/5*s**2.
(s + 1)*(s + 2)/5
Let w(t) = -5*t**2. Let s be w(-2). Let f be (-56)/(-20) - 2/(s/2). Let k**2 + 1/3*k**f + 1/3 + k = 0. Calculate k.
-1
Let d(l) be the first derivative of 6241*l**3/12 - 79*l**2/2 + l + 455. Factor d(x).
(79*x - 2)**2/4
Let h = 11858/38623 - -2/2971. What is q in -2/13*q**2 + h + 6/13*q**3 - 6/13*q - 2/13*q**4 = 0?
-1, 1, 2
Let l(r) = -4*r**3 - r**2 + r + 2. Let z be l(-1). Solve 2*b - 2*b - 3*b**z + 6*b + 0 - 6*b**3 + 3 = 0 for b.
-1, 1
Let u(k) be the third derivative of 2*k**2 - 11/510*k**5 + 1/340*k**6 + 0 + 0*k**3 + 0*k + 1/34*k**4. Factor u(o).
2*o*(o - 3)*(3*o - 2)/17
Suppose 15 + 41 = 14*z. Let a(l) be the second derivative of -4*l - 1/12*l**z - 1/42*l**7 + 0 + 1/30*l**6 + 0*l**2 + 3/20*l**5 - 1/3*l**3. Solve a(t) = 0 for t.
-1, 0, 1, 2
Let m be (-2)/(-4*1)*2. Suppose -a + 3 = -m. Suppose -4*n + 0*n - 2*n - 2*n**2 - a + 0*n = 0. What is n?
-2, -1
Let p(x) = 8*x**5 + 20*x**4 - 14*x**3 - 7*x**2 + 7. Let j(h) = -h**5 - h**3 + h**2 - 1. Let n(z) = -35*j(z) - 5*p(z). What is i in n(i) = 0?
-21, 0, 1
Let f be 114/(-1083) - (-96)/190. Let p(m) be the first derivative of -6 + 2/15*m**3 + 0*m + f*m**2. Factor p(y).
2*y*(y + 2)/5
Determine r, given that -51*r**2 - 1296*r - 23*r**2 - 34*r**2 - 3*r**3 - 2201 - 2983 = 0.
-12
Let i(c) be the first derivative of -14*c**5/55 - 25*c**4/22 - 32*c**3/33 + 12*c**2/11 - 241. Factor i(a).
-2*a*(a + 2)**2*(7*a - 3)/11
Determine k, given that 0*k + 2/7*k**3 + 4/7*k**2 + 0 = 0.
-2, 0
Factor -4 + 11*i - 21/2*i**2 - 1/2*i**4 + 4*i**3.
-(i - 4)*(i - 2)*(i - 1)**2/2
Let s(g) be the second derivative of 0 + 1/4*g**4 - 3*g**3 + 22*g + 27/2*g**2. Factor s(r).
3*(r - 3)**2
Let k = 3 - -3. Let y(m) = -m**3 - 7*m**2 - 5*m + 1. Let b(p) = 8*p**2 + 6*p + 8 + 6 - 15 + p**3. Let z(s) = k*b(s) + 7*y(s). Factor z(q).
-(q - 1)*(q + 1)**2
Let g(l) = l**3 - 3*l**2 - 42*l + 88. Let w be g(2). Determine z, given that 0*z - 2/7*z**2 + w = 0.
0
Let s = 9421/105 + -628/7. Let z(p) be the second derivative of -1/10*p**5 + 0*p**3 - s*p**7 + 0 + 4/75*p**6 + 3*p + 1/15*p**4 + 0*p**2. Factor z(f).
-2*f**2*(f - 2)*(f - 1)**2/5
Let o be 474/2520*-2 + 2/5. Let w(b) be the second derivative of -1/2*b**2 + 1/6*b**4 + 0 + 5*b - o*b**7 - 1/30*b**6 - 1/6*b**3 + 1/10*b**5. Factor w(z).
-(z - 1)**2*(z + 1)**3
Let w(m) = 45*m**4 + 665*m**3 + 3105*m**2 + 6335*m + 4535. Let t(y) = -5*y**4 - 74*y**3 - 345*y**2 - 704*y - 504. Let s(h) = -35*t(h) - 4*w(h). Factor s(q).
-5*(q + 2)**2*(q + 5)**2
Let t = 43848 + -43845. Factor -1/2*n**5 - n**4 + 3/2*n**t + 0*n**2 + 0 + 0*n.
-n**3*(n - 1)*(n + 3)/2
Find r, given that 0 + 0*r**2 + 8/3*r - 10/3*r**3 + 2/3*r**5 + 0*r**4 = 0.
-2, -1, 0, 1, 2
Let r be (-56)/(-168)*(-28)/18*72/(-21). Factor 1/9*l**5 - r + 7/9*l**4 - 16/9*l + 8/9*l**2 + 16/9*l**3.
(l - 1)*(l + 2)**4/9
Let t = -14795 - -14797. Determine p so that -1/2 + p - 1/2*p**t = 0.
1
Let p(m) be the second derivative of m**7/28 - 19*m**6/20 + 87*m**5/20 + 149*m**4/4 + 341*m**3/4 + 363*m**2/4 - 95*m. Let p(s) = 0. Calculate s.
-1, 11
Determine k, given that -k**4 + 491*k**3 - k - 2*k**2 - 488*k**3 + k = 0.
0, 1, 2
Let k = -5004 - -5007. Let 0*w - 3*w**2 - 3/2*w**k + 0 = 0. What is w?
-2, 0
Let v(n) be the second derivative of 0*n**3 - 1/80*n**5 - 8 - 1/48*n**4 - 2*n + 0*n**2. Determine p, given that v(p) = 0.
-1, 0
Let i be 2*(2 - 7 - -51). Let k = i - 88. Factor 1/2*l**k + 0 - l - 2*l**3 + 5/2*l**2.
l*(l - 2)*(l - 1)**2/2
Let z be -2*6*(-3)/6. Suppose 16 = -2*v + 20. Let -z*b**5 - 123/2*b**3 + 111/2*b**v + 63/2*b**4 + 3 - 45/2*b = 0. What is b?
1/4, 1, 2
Let z(p) = -13*p**2 - 19*p + 5. Let d(q) = 15*q**2 + 18*q - 6. Let w(o) = -5*d(o) - 6*z(o). Factor w(b).
3*b*(b + 8)
Let i be (-8)/18*(-1 - 2)*63/42. Let -2/13*r**i - 16/13*r - 32/13 = 0. What is r?
-4
Let g(d) be the first derivative of -d**6/7 - 4*d**5/5 - 11*d**4/7 - 8*d**3/7 + d**2/7 + 4*d/7 - 31. Suppose g(l) = 0. Calculate l.
-2, -1, 1/3
Find r such that 1/2*r**2 - 20 + 39/2*r = 0.
-40, 1
Let 0 + 3/4*n**3 + 57/2*n**2 - 117/4*n = 0. What is n?
-39, 0, 1
Let s(t) be the second derivative of t**6/255 - t**5/34 + 3*t**4/34 - 7*t**3/51 + 2*t**2/17 + 4*t + 10. Let s(q) = 0. What is q?
1, 2
Let c be -6 + (-554)/(-88) + (-11)/(-44). Factor c*k - 2/11*k**2 - 4/11.
-2*(k - 2)*(k - 1)/11
Let v = 843 - 1685/2. Let p(l) be the first derivative of l - 8 - l**2 + v*l**4 - 1/3*l**3. Factor p(g).
(g - 1)*(g + 1)*(2*g - 1)
Let 56/3*q**2 + 6 - 16/3*q**3 - 19*q = 0. What is q?
3/4, 2
Let l be -2 - (-3 + -1 - (-8 - -12)). What is p in -9/2*p**2 + 6*p + l - 3/2*p**4 - 6*p**3 = 0?
-2, -1, 1
Let w(l) be the third derivative of -l**6/72 + l**5/6 - 5*l**4/6 + 13*l**3/6 + 8*l**2. Let m(i) be the first derivative of w(i). Factor m(u).
-5*(u - 2)**2
Let s(m) = -m. Let y(v) = 2*v**2 - 14*v. Let q = 0 - -20. Let j(l) = q*s(l) - 2*y(l). Factor j(h).
-4*h*(h - 2)
Let m = -220 + 223. Let y(n) be the first derivative of -1/4*n - 1/4*n**2 + 5 - 1/12*n**m. Factor y(a).
-(a + 1)**2/4
Let a(j) be the second derivative of 1/15*j**5 + 17*j + 50/3*j**3 - 250/3*j**2 + 0 - 5/3*j**4. Factor a(y).
4*(y - 5)**3/3
Let d(z) be the second derivative of -36*z - 1/285*z**6 + 4/19*z**2 - 2/95*z**5 - 1/38*z**4 + 4/57*z**3 + 0. Suppose d(l) = 0. Calculate l.
-2, -1, 1
Let s(m) be the third derivative of m**6/180 + 2*m**5/5 + 12*m**4 + 192*m**3 - 9*m**2. Solve s(g) = 0.
-12
Let h(r) = -r + 16. Let u be h(19). Let d = u - -9. Factor 7 - 27 - 27*l + l**2 - d*l**2 + 7*l.
-5*(l + 2)**2
Let q(m) be the second derivative of -13*m**4/12 - 10*m**3/9 + 2*m**2/3 - m - 8. Factor q(y).
-(3*y + 2)*(13*y - 2)/3
Let t(k) = -2 + 4 + 0 + 0 + 2*k. Let y be t(1). Determine j so that -2*j**2 + j - 3*j - y*j = 0.
-3, 0
Let i = -10 + 23. Factor 9*c**2 - 6*c**3 + 8*c - 28*c**4 - i*c**2 + 98*c**5 - 36*c**2 + 168*c**4.
2*c*(c + 1)**2*(7*c - 2)**2
Factor 6*w**3 + 3*w**2 + 97*w - 7 - w**4 + 5*w**2 - 103*w.
-(w - 7)*(w - 1)*(w + 1)**2
Solve -1/4*q**3 - 3*q + 5/2*q**2 - 18 = 0 for q.
-2, 6
Let m(i) be the first derivative of 1/6*i**3 + 1/8*i**4 + 0*i - 1/2*i**2 - 3. Factor m(f).
f*(f - 1)*(f + 2)/2
Let r(k) be the second derivative of -9*k**2 + 2 - 14*k - 1/6*k**4 - 10/3*k**3. Factor r(b).
-2*(b + 1)*(b + 9)
Let y(z) = -4*z**3 - z**2 + 5*z + 5. Let b(h) = h + 4 - 13 + 10 + 0*h - h**3. Let t(l) = -20*b(l) + 4*y(l). What is p in t(p) = 0?
0, 1
Factor 1800/13 - 120/13*u + 2/13*u**2.
2*(u - 30)**2/13
Let v = 197/224 + -19/32. Suppose 2/7*y**2 + 0 - 2/7*y**4 - v*y + 2/7*y**3 = 0. Calculate y.
-1, 0, 1
Let l = 23031 - 69092/3. Find w, given that -l*w**2 - 12*w - 108 = 0.
-18
Let d(k) = -3*k + 10. Let v be d(2). Let y(w) be the third derivative of 1/15*w**3 + 0*w + 1/24*w**v + 4*w**2 - 7/300*w**5 + 0. Factor y(s).
-(s - 1)*(7*s + 2)/5
Solve -3/7 - 127/7*q**2 - 130/7*q = 0 for q.
-1, -3/127
Let k(g) = 12*g**3 - 40*g**2 + 4*g + 24. Let y(q) = -q**2 + 0 + 7 - 6. Let s(d) = -k(d) + 20*y(d). Factor s(p).
-4*(p - 1)**2*(3*p + 1)
Let l(g) be the first derivative of g**5/10 - 53*g**4/8 + 26*g**3/3 + 178. Find k such that l(k) = 0.
0, 1, 52
Let n = 148 + -203. Let j = n + 221/4. Factor 0 + j*z**3 - 1/4*z**4 + 0*z - 1/4*z**5 + 1/4*z**2.
-z**2*(z - 1)*(z + 1)**2/4
Let z(c) be the first derivative of c**5/30 - c**3/2 - 1060. Suppose z(d) = 0. What is d?
-3, 0, 3
Let o be 2/(8*8/96). Let w(c) be the first derivative of 8*c - 8/5*c**5 + 14*c**2 + 2*c**4 + 32/3*c**o - 2/3*c**6 + 2. Factor w(n).
-4*(n - 2)*(n + 1)**4
Let w(c) be the first derivative of 2*c**3/57 + 8*c**2/19 + 24*c/19 - 5. Factor w(z).
2*(z + 2)*(z + 6)/19
Let s(x) be the third derivative of -x**5/90 + 106*x**4/9 - 44944*x**3/9 + 312*x**2 - 2*x. Determine q, given that s(q) = 0.
212
Let x = -19 - -25. Let k be 6/(-4)*(-8)/x. Suppose 2/3*i**k - 1/3*i**5 + 0*i**3 + 1/3*i - 2/3*i**4 + 0 = 0. Calculate i.
-1, 0, 1
Let v(q) be the second derivative of q**8/3360 - q**7/420 + q**6/180 + 13*q**4/12 - 15*q. Let z(r) be the third derivative of v(r). Factor z(f).
2*f*(f - 2)*(f