e w so that -5*w + 48*w**3 + 2845*w**2 - 5*w**5 + w**5 + 4*w**4 - 2829*w**2 - 59*w = 0.
-2, 0, 1, 4
Let -1/3*r + 2/9*r**3 - 1/3*r**2 + 2/9 = 0. What is r?
-1, 1/2, 2
Factor 3/4*y**2 - 3/4*y**3 + 9/4 + 15/4*y.
-3*(y - 3)*(y + 1)**2/4
Let t be ((-1079)/830)/((-52)/8). Factor -4/5*y**3 + 2/5*y**2 - t*y**4 - 9/5 + 12/5*y.
-(y - 1)**2*(y + 3)**2/5
Let n(d) be the third derivative of 1/1176*d**8 + 1/105*d**5 + 0 + 0*d**6 + 0*d**3 - 1/84*d**4 + 5*d**2 + 0*d - 2/735*d**7. Factor n(q).
2*q*(q - 1)**3*(q + 1)/7
Suppose 0 = -43*k + 28 + 35 + 23. Factor -3/4*h**k - 1/4*h**3 + 0*h + 1.
-(h - 1)*(h + 2)**2/4
Let n(w) be the first derivative of -w**6/2 + 3*w**5 - 3*w**4/4 - 17*w**3 + 33*w**2 - 24*w - 198. Factor n(u).
-3*(u - 4)*(u - 1)**3*(u + 2)
Let j(f) be the third derivative of 0 + 0*f + 19*f**2 - 1/2*f**3 + 5/48*f**4 - 1/120*f**5. Determine s so that j(s) = 0.
2, 3
Factor -81/4*c**2 + 45*c - 15/4*c**3 + 21.
-3*(c - 2)*(c + 7)*(5*c + 2)/4
Let f(r) = 58*r - 26*r + 8*r**2 - 16*r - 9. Let g(k) = -k**2 - 2*k + 1. Let t(n) = 6*f(n) + 51*g(n). Factor t(m).
-3*(m + 1)**2
Factor -5*f + 4*f**2 - 14*f - 129*f.
4*f*(f - 37)
Suppose -34*p - 8 = -144. Let r(b) be the first derivative of -2/5*b**5 + p + 2/3*b**3 - 1/2*b**4 + 0*b + b**2. Factor r(t).
-2*t*(t - 1)*(t + 1)**2
Let l(f) be the third derivative of 1/300*f**5 + 0*f**3 + 0 - 13*f**2 + 0*f - 1/60*f**4 + 1/600*f**6. Factor l(o).
o*(o - 1)*(o + 2)/5
Let w(v) be the third derivative of -v**5/120 + 37*v**4/48 + 13*v**3/2 + 28*v**2 - 15*v. Determine o, given that w(o) = 0.
-2, 39
Factor 20*d**3 - 236*d - 176*d**2 + 217 - 192*d**2 - 65.
4*(d - 19)*(d + 1)*(5*d - 2)
Let q(v) be the second derivative of v**5/150 - 7*v**4/30 + 49*v**3/15 + 5*v**2 + 9*v. Let u(k) be the first derivative of q(k). What is n in u(n) = 0?
7
Let i(d) = -3*d**5 + 15*d**4 + 39*d**3 + 21*d**2 + 3. Let t(r) = -6*r**5 + 30*r**4 + 78*r**3 + 42*r**2 + 5. Let w(z) = 5*i(z) - 3*t(z). Solve w(y) = 0.
-1, 0, 7
Let p be 0/(6 + 0 - 3). Let w be 56/(-308) + (-32)/(-55). What is m in -2/5*m**2 + w + p*m = 0?
-1, 1
Let u(o) be the second derivative of -o**5/10 - 2*o**4 - 16*o**3 - 64*o**2 - 202*o - 2. Factor u(h).
-2*(h + 4)**3
Let o(m) be the third derivative of -m**7/630 - m**6/90 + m**5/60 + 7*m**4/36 + 4*m**3/9 + 19*m**2. Factor o(r).
-(r - 2)*(r + 1)**2*(r + 4)/3
Suppose -3 + 37/2*j - 30*j**2 + 9/2*j**3 = 0. What is j?
1/3, 6
Suppose -201*l**3 + 34*l**3 + 876*l - 63*l**3 - 96*l - 180 + 35*l**4 + 20*l**5 - 185*l**2 = 0. What is l?
-3, 1/4, 2
Let y(z) = 16*z**2 - 159*z + 1445. Let p(m) = 3*m**2 - 32*m + 289. Let c(a) = 33*p(a) - 6*y(a). Suppose c(o) = 0. What is o?
17
Let w be 20/(-36) + (-13 - 56/(-4)). Factor 0 + w*l**2 + 0*l - 4/9*l**3.
-4*l**2*(l - 1)/9
Let k(x) = -4*x**3 + 86*x**2 - 109*x + 60. Let p(y) = -y**3 + 17*y**2 - 22*y + 12. Let f(u) = -2*k(u) + 11*p(u). Solve f(o) = 0 for o.
1, 2
Let z = -329 - -2059/6. Let b = z - 14. Let b*g**2 + 1/3 - 1/2*g = 0. What is g?
1, 2
Let u(h) be the first derivative of 0*h**3 - h**2 + 1/2*h**4 - 1 + 0*h. Suppose u(d) = 0. Calculate d.
-1, 0, 1
Let u(p) be the second derivative of p**5/90 + 25*p**4/54 + 68*p**3/27 + 44*p**2/9 - 38*p. Factor u(g).
2*(g + 1)*(g + 2)*(g + 22)/9
Suppose 31*m - 19*m - 21*m = -18. Let 6/11*f + 0 + 4/11*f**m - 2/11*f**3 = 0. What is f?
-1, 0, 3
Let c(j) be the third derivative of 31*j**5/6 + 105*j**4/8 + 5*j**3/6 + 554*j**2. Let c(s) = 0. Calculate s.
-1, -1/62
Let n(d) = -3*d**3 + 185*d**2 - 122*d + 2. Let b be n(61). Factor 1/5*h**b + 3/5*h + 0.
h*(h + 3)/5
Suppose -5*q = 5*i, -2*i + 0 = q + 3. Let j**3 + 2*j - 6*j**q + 0*j**3 + 3*j = 0. Calculate j.
-1, 0, 1
Let l(w) = 2*w**3 - 25*w**2 + 14*w + 15. Let m be l(12). Let r = m + -37. Find b such that 4/7*b + 6/7 - 2/7*b**r = 0.
-1, 3
Let g be (3/(-5))/((-36)/15*(-111)/(-296)). Let -2/9*f**2 + g + 4/9*f = 0. What is f?
-1, 3
Let v be 20/21 + 26*26/507. Factor 17/7*u**3 + 4/7*u - 5/7*u**4 - v*u**2 + 0.
-u*(u - 2)*(u - 1)*(5*u - 2)/7
Let z(m) = 3*m**3 + 75*m**2 + 375*m + 625. Suppose 9*q = 10*q - 112. Let t(w) = 112 + w**3 - q. Let g(r) = 2*t(r) + z(r). Factor g(p).
5*(p + 5)**3
Let t be 15*1/(-18) + 1. Let g(u) be the first derivative of 0*u**2 + t*u**3 + 0*u + 1/5*u**5 - 5/16*u**4 + 3 - 1/24*u**6. Find q such that g(q) = 0.
0, 1, 2
Factor 6 + 2 + 1891*n**2 - 1895*n**2 - 2*n**4 + 12*n - 2*n**4 - 12*n**3.
-4*(n - 1)*(n + 1)**2*(n + 2)
Let t(w) be the first derivative of 5*w**4/4 + 10*w**3 - 95*w**2/2 - 120*w - 71. Factor t(d).
5*(d - 3)*(d + 1)*(d + 8)
Suppose 2*w + 4*q - 24 + 4 = 0, -4*q + 6 = -5*w. Let f = 9 + -5. Find s, given that -f*s + s + 0*s**2 + 52 - 50 + s**w = 0.
1, 2
Suppose -5*y + 9 + 6 = 0. Suppose 9 = 3*q - y*w, -5*q + 13 = -2*q + w. Suppose -4*h**3 + 3*h**2 - 4*h**3 + 2*h**3 - 6*h**4 + 9*h**q = 0. What is h?
0, 1
Let j(q) = -5*q**2 + 131*q + 635. Let u(o) = 64*o + 320. Let i(s) = -s**2 + s - 1. Let g(z) = -2*i(z) - u(z). Let h(f) = -13*g(f) - 6*j(f). Factor h(a).
4*(a + 9)**2
Suppose -3*s - 12 = 0, -2*y + 7*y + 3*s = -277. Let n = y + 56. Factor 3/5*u**4 - 6/5*u**2 + 0 + 3/5*u**n + 0*u.
3*u**2*(u - 1)*(u + 2)/5
Let h(f) = -9 + 2*f**2 + 8 - f**2 - f. Let d(n) = -3*n**3 + 9*n**2 - 15. Let p(r) = -d(r) + 9*h(r). What is i in p(i) = 0?
-2, 1
Find i such that 9/2 - 3/4*i**3 - 3/2*i**2 + 15/4*i = 0.
-3, -1, 2
Let h be 0 + (-105)/1 + 4. Let v = h + 103. Factor -4/5*i**v + 0*i + 0.
-4*i**2/5
Let k = 22 - 18. Suppose -5*r + 6*r - k = 0. Factor r*w**2 + w + 4*w**4 + 10*w + 2 + w - 10 - 12*w**3.
4*(w - 2)*(w - 1)**2*(w + 1)
Let l be (-5 - 755/(-150))*21/14. Let a(z) be the second derivative of 0 + l*z**5 - 1/6*z**4 + 8*z + 1/6*z**3 + 0*z**2. Suppose a(h) = 0. What is h?
0, 1
Let g(o) be the second derivative of o**4/20 + 11*o**3/10 - 18*o**2/5 - 44*o + 2. Determine r so that g(r) = 0.
-12, 1
Let w(l) be the first derivative of l**4/2 + 2*l**3 - 16*l**2 + 24*l - 898. Suppose w(m) = 0. Calculate m.
-6, 1, 2
Let d(c) = -29*c**3 + 149*c**2 - 199*c - 45. Let j(a) = -30*a**3 + 150*a**2 - 200*a - 45. Let o(h) = -5*d(h) + 4*j(h). Factor o(m).
5*(m - 3)**2*(5*m + 1)
Let 4 - 4/9*b**2 + 32/9*b = 0. What is b?
-1, 9
Suppose 1044*v - 1039*v = 0. Let u(i) be the third derivative of 0*i**3 + 0 + 1/4*i**4 + 1/20*i**5 + v*i - 4*i**2. What is m in u(m) = 0?
-2, 0
Let v(f) = 8*f + 5. Let k be v(-1). Let s be (-10)/k - (5 + -2). Factor 1/3*z**3 + 2/3*z**2 + s*z + 0.
z*(z + 1)**2/3
Let r(i) = i**2 - 260*i + 3376. Let a(d) = -260*d + 3375. Let w(f) = -4*a(f) + 5*r(f). Determine n, given that w(n) = 0.
26
Let k = 944 + -2830/3. Factor -4/3*d + 2/3*d**2 + k.
2*(d - 1)**2/3
Let d = 19 - 24. Let k be 12/(-30) - 17/d. Factor k - 6*z + 1 + 119*z**2 - 117*z**2.
2*(z - 2)*(z - 1)
Let x(h) be the second derivative of -4*h + 1/4*h**4 - 4*h**3 + 0 + 24*h**2. Factor x(t).
3*(t - 4)**2
Let n(h) be the second derivative of -h**6/195 + h**4/3 - 25*h**2/13 - 2*h + 95. Find t such that n(t) = 0.
-5, -1, 1, 5
Let k be (-29)/(-116)*112/42. Determine b so that k*b**2 + 2/3*b**3 - 8/3*b - 8/3 = 0.
-2, -1, 2
Suppose 14*n - 10 = -10. Suppose -2*i - 19 + 3 = -5*g, n = 5*g - 5*i - 25. Suppose -u + 0 + 1/2*u**g = 0. What is u?
0, 2
Let y = 39/67 + -11/134. Let l(q) = -q**3 - 16*q**2 - 14*q + 18. Let j be l(-15). Suppose -y*c**4 - 2*c - c**2 + 3/2 + 2*c**j = 0. Calculate c.
-1, 1, 3
Factor -3/2*c**2 + c**3 - 4*c + 1/2*c**4 - 2.
(c - 2)*(c + 1)**2*(c + 2)/2
Let i(d) be the second derivative of 0*d**3 - 1/10*d**5 + 0*d**2 + 0 - 14*d - 1/12*d**4. Solve i(s) = 0.
-1/2, 0
Factor -165*d**2 - 22*d**3 - 255*d + 90 - 35*d**3 + 22*d**3 - 35*d**2.
-5*(d + 3)**2*(7*d - 2)
Factor 63/2*w**3 + 27783/2*w + 583443/8 + 3/8*w**4 + 3969/4*w**2.
3*(w + 21)**4/8
Solve -32*v**4 + 33*v**3 + 0 - 12*v**2 + 21/2*v**5 + 1/2*v = 0 for v.
0, 1/21, 1
Determine l, given that 245/4*l**3 - 41*l + 33/2*l**2 + 10 - 25/4*l**4 = 0.
-1, 2/5, 10
Let a = 5421/4 + -1355. Suppose 0*y + 4*l = -y + 10, -3*y - 2 = -4*l. Factor 1/4*u**3 - a*u + 1/4 - 1/4*u**y.
(u - 1)**2*(u + 1)/4
Let q(n) be the first derivative of n**3/2 + 7*n**2 + 9*n/2 - 169. Factor q(m).
(m + 9)*(3*m + 1)/2
Find h, given that -12*h**2 - 26*h**3 - 26*h**3 + 3*h + 12*h**4 + 49*h**3 = 0.
-1, 0, 1/4, 1
Find q such that -56/11*q + 6*q**3 - 24/11 + 38/11*q**2 - 10/11*q**5 - 14/11*q**4 = 0.
-3, -1, -2/5, 1, 2
Let s be 0 + ((-12)/(-60) - (-74)/30). Factor 