6*p**4 - 1/960*p**6 + 0. Suppose l(z) = 0. What is z?
-1, 0, 2
Let q(a) = -694*a - 3468. Let i be q(-5). Find k such that 0 + 9/4*k**i - 1/2*k = 0.
0, 2/9
Let c = 10168/8415 + -14/1683. Factor -6/5*s**2 + 3*s**3 + c - 3*s.
3*(s - 1)*(s + 1)*(5*s - 2)/5
Let j(v) be the third derivative of -v**6/30 - 2*v**5/15 + v**4/6 + 2*v**3/3 + 7*v**2. Let w(k) = k**4 + k**2 - 1. Let x(c) = -j(c) - 4*w(c). Factor x(i).
-4*i*(i - 1)**2*(i + 1)
Let u be -2 + 185/(-2) - (-1)/2. Let r be u/(-99) - 24/108. Factor -32/11*y**2 - 6/11*y**4 + 26/11*y**3 + 0 + r*y.
-2*y*(y - 2)**2*(3*y - 1)/11
Let w = -162 - -175. Suppose w = -4*u + 21. Solve 2/3*v + 0 + 2/3*v**u = 0 for v.
-1, 0
Let k be 12/3*27/6. Let d be (2 - 42/k)*-1. Determine h so that 1/3 + d*h**3 + 2/3*h**4 - 1/3*h - h**2 = 0.
-1, 1/2, 1
Let d(q) = q**2 + 12*q + 22. Let h be d(-11). Determine v so that 34*v**2 - h*v**2 + v**3 - 12*v**2 - 14*v**2 + 2*v = 0.
0, 1, 2
Suppose -4*s - 1 = -13. Let w(m) = 20*m**3 - 5*m**2 - 20*m + 2. Let z(p) = -140*p**3 + 35*p**2 + 140*p - 15. Let l(i) = s*z(i) + 20*w(i). Factor l(v).
-5*(v - 1)*(v + 1)*(4*v - 1)
Let b be -35*(-10)/28 + -8*1. Determine a so that -b + a**2 - 1/2*a**4 - 2*a**3 + 6*a = 0.
-3, 1
Factor 2*u**2 - 1645 + 3289 - 3*u**2 - 1644 - 5*u.
-u*(u + 5)
Let g = 78 + -75. Find b such that 8*b**2 - 2*b**3 - 3*b**g + 42 - b**2 + 8*b - 46 = 0.
-1, 2/5, 2
Suppose 0 = -3*k + 3*d - 249, -2*k - 3*d - 156 = -0*d. Let o be k/63*(-2)/6. Let o*r**3 + 6/7*r**2 + 0 + 3/7*r = 0. What is r?
-1, 0
Suppose f + 5*c = 5*f - 19, -4*f = 4*c - 28. Let o(m) = -5*m**3 - 45*m**2 - 243*m - 200. Let a(i) = i**3 + i**2 + i. Let p(w) = f*a(w) + 2*o(w). Factor p(h).
-4*(h + 1)*(h + 10)**2
Let h be (-8)/(-20)*(2 + (-2 - -5)). Let f(t) = -5*t**2 + 12*t - 12. Let a(y) = 51*y**2 - 120*y + 120. Let r(m) = h*a(m) + 21*f(m). Factor r(k).
-3*(k - 2)**2
Factor 0*z - 370/7*z**3 - 188/7*z**4 - 184/7*z**2 + 0 - 2/7*z**5.
-2*z**2*(z + 1)**2*(z + 92)/7
Let g be 12/(-24) + ((-5)/(-10)*-1 - -5). Solve 3/2*o**5 + 0 + 0*o + 7/2*o**3 + g*o**4 + o**2 = 0 for o.
-1, -2/3, 0
Suppose y + 29*w - 13 = 32*w, -4*y + 31 = -5*w. Suppose -z - c + 4 = 0, 1 = 4*z + 5*c - 19. Factor z*r - 2/3*r**3 + 0*r**2 + 2/3*r**y + 0.
2*r**3*(r - 1)/3
Let p(o) be the third derivative of -o**8/1008 + 7*o**6/360 + o**5/90 - o**4/6 - 4*o**3/9 + 2*o**2 + 67. Find z, given that p(z) = 0.
-2, -1, 2
Let p(m) be the second derivative of -7*m**5/5 + 41*m**4/3 - 38*m**3 - 18*m**2 - 180*m. Factor p(b).
-4*(b - 3)**2*(7*b + 1)
Let i(a) be the second derivative of a**5/5 - 4*a**4/3 + 8*a**3/3 + 81*a + 1. Factor i(b).
4*b*(b - 2)**2
Factor -5*f**2 - f**2 + 2*f**2 + 36*f - 38 + f**2 + 5.
-3*(f - 11)*(f - 1)
Let m(c) = -c**2 - 19*c + 6. Let f be m(-20). Let v be f/6 - 12/4*-1. Factor 1/3*l**2 + l + v.
(l + 1)*(l + 2)/3
Let f(s) be the second derivative of s**5/20 - 11*s**4/12 + 5*s**3/3 + s**2 - 4*s. Let q be f(10). Factor 4*m - m**2 - 2*m**q - m.
-3*m*(m - 1)
Determine n, given that -70 + 132*n**2 - 136*n**2 + 70 + 16*n = 0.
0, 4
Let k(a) be the second derivative of a**6/120 - 3*a**5/40 + 4*a**3/3 - 69*a. Factor k(x).
x*(x - 4)**2*(x + 2)/4
Let a be 28/(-56)*10/(-36). Let z(k) be the first derivative of 1/3*k**3 + 1/45*k**5 + 2/9*k + a*k**4 + 7/18*k**2 - 1. Factor z(v).
(v + 1)**3*(v + 2)/9
Let m(d) be the second derivative of -d**6/195 + 2*d**5/65 - 5*d**4/78 + 2*d**3/39 - 7*d - 21. Factor m(i).
-2*i*(i - 2)*(i - 1)**2/13
Factor 0*v + 1/7*v**2 - 1/7.
(v - 1)*(v + 1)/7
Let b(t) = 3*t**3 - 11*t**2 - 7*t - 5. Let v(w) = 4*w**3 - 12*w**2 - 6*w - 5. Let o(u) = -5*b(u) + 4*v(u). Determine z, given that o(z) = 0.
-5, -1
Let m be 80/3*2*1/(-2). Let v = 27 + m. Determine p, given that 0*p - v*p**5 - 1/3*p**4 + 0 + 0*p**3 + 0*p**2 = 0.
-1, 0
Let k(y) = 9*y + 2. Let r be k(0). Let p be (-48)/(-60)*1/r. Factor p*t**2 + 0 - 4/5*t.
2*t*(t - 2)/5
Let j(v) be the first derivative of 4*v**3/3 + 28*v**2 - 432. Factor j(i).
4*i*(i + 14)
Suppose -5*t = -10*t - 5*t. Suppose t = 2*r - 6*z + 7*z - 1, -24 = -3*r + 3*z. Let -2/3*l**2 - 2/3*l**r + 4/3*l + 0 = 0. Calculate l.
-2, 0, 1
Let g(c) = c**2 + 6*c + 11. Let a be g(-4). Suppose -4*f + 8 = -0. Factor 0*k**3 + k**a + 12*k - 8 + 13*k**f - 19*k**2.
(k - 2)**3
Let f be 99/7 + 11*588/(-539). Suppose -f*k**2 + 0 + 18/7*k + 3/7*k**3 = 0. What is k?
0, 2, 3
Solve 7*a**2 - 7*a**4 + 2*a**4 - 17*a**2 + 4*a**4 - 17*a**2 - 28*a**3 = 0 for a.
-27, -1, 0
Let o(w) be the first derivative of -w**6/255 + w**5/85 - w**4/102 - 7*w - 56. Let g(l) be the first derivative of o(l). Factor g(m).
-2*m**2*(m - 1)**2/17
Suppose -7*w - 7*w - 70 = 0. Let y(a) = -a. Let c(p) = -2*p**3 + p - 4. Let b(u) = w*y(u) + c(u). What is d in b(d) = 0?
-2, 1
Suppose -4*o + 2 = -2*a, -24 = 4*o + a - 35. Solve 0 + 14/11*i**4 + 150/11*i**o + 36/11*i + 8*i**3 = 0.
-3, -2/7, 0
Let t(z) be the first derivative of -z**3/5 + 51*z**2/10 + 66*z - 26. Determine g so that t(g) = 0.
-5, 22
Suppose -4*m + 10 + 2 = 0. Find d such that 4*d**4 - 12 + 165*d**2 - 40*d**m + 76 - 160*d - 33*d**2 = 0.
1, 4
Let t(i) be the first derivative of i**3 + 51*i**2 + 867*i - 25. Let t(k) = 0. Calculate k.
-17
Factor 20/11*w**2 - 2/11*w**3 + 48/11 - 56/11*w.
-2*(w - 6)*(w - 2)**2/11
Factor -611*y**2 + 2*y**5 - 12*y**3 + 304*y**2 + 2*y**4 + 16*y + 299*y**2.
2*y*(y - 2)*(y - 1)*(y + 2)**2
Let l(m) be the first derivative of -m**5/24 + 5*m**4/3 - 80*m**3/3 + 3*m**2 + 12. Let i(z) be the second derivative of l(z). Factor i(d).
-5*(d - 8)**2/2
Find y such that 40 - 1/5*y**4 + 3/5*y**2 + 8/5*y**3 - 26*y = 0.
-4, 2, 5
Let z(a) be the third derivative of a**7/420 + 41*a**6/240 - 237*a**2. Factor z(w).
w**3*(w + 41)/2
Let s be (79/((-12087)/408))/(4/(-2)). Find f, given that s*f + 2/3 + 2/3*f**2 = 0.
-1
Determine j so that 0 + 0*j - 1/3*j**5 + 7/3*j**4 - 11/3*j**3 + 5/3*j**2 = 0.
0, 1, 5
Let g(r) = -r**2 - r. Let d(v) = 3*v - 2*v**2 + 6*v**2 - 3*v**2 + 2*v**2. Let x(o) = 4*d(o) + 9*g(o). Solve x(c) = 0 for c.
-1, 0
Let p(o) be the third derivative of -2*o**7/105 - o**6/2 - 9*o**5/5 - 13*o**4/6 - o**2 - 126*o. Factor p(n).
-4*n*(n + 1)**2*(n + 13)
Let u(n) be the second derivative of -n**7/21 - 3*n**6/5 + 11*n**5/10 + 3*n**4/2 - 10*n**3/3 + n + 14. Determine h, given that u(h) = 0.
-10, -1, 0, 1
Let m(o) be the third derivative of -3*o**8/224 - 17*o**7/210 - 23*o**6/120 - o**5/5 - o**4/48 + o**3/6 + 39*o**2. Let m(q) = 0. Calculate q.
-1, 2/9
Factor -41*a**2 - a**4 + 16*a**2 + 569*a**3 - 583*a**3 - 12*a.
-a*(a + 1)**2*(a + 12)
Let x be -5 - 348/(-68) - (-294)/102. Factor -4/9 - 2/9*f**x + 2/9*f + 4/9*f**2.
-2*(f - 2)*(f - 1)*(f + 1)/9
Let h(u) = 40*u**2 + 1562*u + 82. Let s be h(-39). What is q in -8/9 + 2/9*q**5 + 16/9*q**2 - 4/9*q**3 + 2/9*q - 8/9*q**s = 0?
-1, 1, 4
Let u(b) be the third derivative of -2*b**7/245 + 2*b**6/105 - b**5/105 - 52*b**2 - 2. Suppose u(x) = 0. Calculate x.
0, 1/3, 1
Suppose -4*p + 8 = 4*x, 6 - 14 = -4*p - 2*x. Let j(i) be the third derivative of 2/3*i**4 + 0 + 1/30*i**6 + 17/60*i**5 + 1/2*i**3 - 8*i**p + 0*i. Factor j(a).
(a + 1)*(a + 3)*(4*a + 1)
Let p be 0/(4 + -2 - -1). Let b(a) be the third derivative of 0*a**3 + p*a + a**2 - 3/100*a**5 + 0 - 1/40*a**4. Determine x so that b(x) = 0.
-1/3, 0
Let p = -11 - -15. Suppose 3*i = 3, 1 - 13 = -2*r - p*i. Suppose 0 + 2*h**5 - r*h**3 - 2*h**4 - 24*h**2 - 2 + 2*h + 28*h**2 = 0. What is h?
-1, 1
Solve -56*q**2 - q**3 + 9856*q + 5*q**3 - 2800*q - 292*q**2 + 12*q**2 = 0 for q.
0, 42
Let y(j) be the first derivative of 1/120*j**6 + 1/8*j**4 + 1/20*j**5 + 0*j**2 + 4*j**3 - 4 + 0*j. Let g(a) be the third derivative of y(a). Solve g(l) = 0.
-1
Let d(w) = w**3 - 2*w**2 + 9*w - 1. Let p be d(5). Let s = -831/7 + p. Solve 8/7 - 8/7*h + s*h**2 = 0 for h.
2
Factor 11/2*c**2 - 11/2 - 1/2*c + 1/2*c**3.
(c - 1)*(c + 1)*(c + 11)/2
Let y(j) = 2*j**2 + 24*j - 1494. Let s be y(22). Determine k, given that 0 - 10*k + 40*k**s - 25/2*k**3 - 35/2*k**4 = 0.
-2, 0, 2/7, 1
Let b(p) = -12*p + 100. Let h be b(8). Suppose 3 = z + 2*i - 7*i, 0 = h*i. Suppose -1 + 0*t**4 - 1/2*t**5 + t**2 + 2*t**z - 3/2*t = 0. Calculate t.
-1, 1, 2
Let h(k) be the first derivative of k**2 - 1/2*k**4 + 0*k - 6 + 1/5*k**5 - 1/3*k**3. Factor h(m).
m*(m - 2)*(m - 1)*(m + 1)
Let n(z) be the third derivative of 11*z**2 + 0*z + 0*z**3 + 1/120*z**5 + 0 + 1/24*z**4. Factor n(x).
x*(x + 2