= 0?
-1/2, 1, 2, 22
Factor 203 + 219 - 5*p**2 + 210*p + 18.
-5*(p - 44)*(p + 2)
Let a(w) = -5*w + 3. Let k be a(-11). Let s = -55 + k. Find v, given that -12*v**3 + 4*v**2 + 4 + 22*v**3 - 13*v**s - 11*v**2 = 0.
-2, -1, 2/3
Factor -322/19*s**2 + 28/19 + 2250/19*s.
-2*(s - 7)*(161*s + 2)/19
Let p(v) = v**3 - 6*v**2 + 23*v - 40. Let y be p(3). Let z(t) be the first derivative of 10*t**y + 40*t + 32 + 5/6*t**3. Solve z(d) = 0 for d.
-4
Suppose 12 = 408*m - 411*m + 2*t, 2*m = -5*t + 49. Factor -1/4*j**m + 1/2*j + 0 - 3/2*j**3.
-j*(2*j - 1)*(3*j + 2)/4
Let s(u) = 2*u + 119. Let h be s(-4). Factor -21*t - h*t - 130*t**2 + 134*t**2.
4*t*(t - 33)
Let t be ((-87)/24)/(9/(-54)). Suppose 4*g = 12, 3*a + 43*g - 6 = 45*g. Suppose 0 - t*n**3 - 9*n - 45/4*n**a + 33*n**2 = 0. Calculate n.
-3, 0, 2/5, 2/3
Let f(a) be the first derivative of a**4 - 124*a**3/3 - 130*a**2 - 132*a + 1610. Determine b so that f(b) = 0.
-1, 33
Let p = 3/416 + 317/13728. Let n(c) be the second derivative of -1/165*c**6 + 0*c**2 + 0 + 3/110*c**5 - 1/22*c**4 + 4*c + p*c**3. Let n(f) = 0. Calculate f.
0, 1
Suppose -4*d + 3*v + 424 = 0, -5*v - 416 = -41*d + 37*d. Factor -16*a + 1940 - 1844 + d*a - 3*a**2.
-3*(a - 32)*(a + 1)
Determine o so that -3/2*o**2 + 702*o - 1401/2 = 0.
1, 467
Let c(w) = -w**3 + 3*w**2 + 2*w - 4. Let j(s) = s**3 - 10*s**2 + 16*s + 3. Let u be j(8). Let d be c(u). Let 0 - 1/8*p + 1/8*p**d = 0. What is p?
0, 1
Let h = 5980/10923 - 2/993. Let o = 15/7 - 137/77. Let 0*a + 0*a**4 + h*a**3 + 0 - 2/11*a**5 + o*a**2 = 0. Calculate a.
-1, 0, 2
Suppose 0*n - 3*f = 5*n - 82, -2*f = -n + 19. Suppose n*w**2 + 2*w**5 - 6*w**2 - 14*w**3 - 16 - 2*w**2 - 5*w**2 + 24*w = 0. Calculate w.
-2, 1, 2
Let k(t) = -59*t**2 - 504*t - 1591. Let x(n) = -141*n**2 - 1260*n - 3975. Let q(m) = 12*k(m) - 5*x(m). Suppose q(d) = 0. What is d?
-3, 87
Let q(x) be the second derivative of -3*x**5/20 - 22*x**4 + 5*x - 57. Let q(b) = 0. Calculate b.
-88, 0
Let c(o) be the second derivative of -1/126*o**7 - 5/36*o**4 - 7*o + 0*o**2 + 1/9*o**3 - 9 + 1/20*o**5 + 1/90*o**6. Factor c(p).
-p*(p - 1)**3*(p + 2)/3
Let j be (0 - -1)*(3 - -1). Let n(h) = -h**2 - 165*h - 1303. Let z be n(-130). Factor 3249*b**3 - 3*b + 2*b**2 - 2*b**j - z*b**3 + b.
-2*b*(b - 1)**2*(b + 1)
Let n(g) be the second derivative of 0*g**2 + 1/78*g**4 + 1/39*g**3 - 6*g + 0. Find k such that n(k) = 0.
-1, 0
Suppose -5*c = 3*w - 509, 0*w + 335 = 2*w - c. Suppose 36*g**2 - 88*g + w*g + 96 + 2*g**3 - 14*g**2 = 0. Calculate g.
-4, -3
Let y(j) be the second derivative of -j**9/7560 - j**8/1680 + 2*j**7/315 + 4*j**4 - 61*j. Let v(l) be the third derivative of y(l). Suppose v(o) = 0. What is o?
-4, 0, 2
Let g(l) be the second derivative of -l**8/420 + l**7/168 - l**6/360 + 47*l**3/2 + 47*l. Let u(t) be the second derivative of g(t). Factor u(m).
-m**2*(m - 1)*(4*m - 1)
Suppose 3*w + r + 142 = 0, -6*r = -5*w - 2*r - 248. Let s be w/80 + 13/5 - -2. Factor 4/3*k**5 + 0*k**3 + 4/3*k**s + 0 + 0*k**2 + 0*k.
4*k**4*(k + 1)/3
Find t such that -286*t - 2388/7 - 10/7*t**2 = 0.
-199, -6/5
Let n(f) be the second derivative of -f**5/20 + f**4/4 + 5*f**3/3 + 3*f**2/2 + 21*f. Let k be n(5). Factor 0 + 12*t**2 - 18*t**3 + 0 + 12*t**4 - k*t**5 - 3*t.
-3*t*(t - 1)**4
Let j be 4/(-30) + ((-1062)/135 - -12). Let u(t) be the third derivative of 0*t + 1/48*t**j - 12*t**2 + 0 + 1/24*t**3 + 1/240*t**5. Factor u(o).
(o + 1)**2/4
Let d be ((-15)/(-9))/((-2)/(-6)). Let r be (48/(-64))/((-3)/12). Find i such that 0*i**3 - 4*i**4 + 0*i**2 - 3*i**2 + i**2 - d*i**r - i**5 = 0.
-2, -1, 0
Suppose -3*k = 2*i - 27, 5*i + 4*k - 102 = 8*k. Suppose 2*g = i*g. Factor -1/4*d**3 - 1/2*d**2 + 0 + g*d.
-d**2*(d + 2)/4
Let o(u) = -2*u**3 - 8*u**2 - 5*u + 5. Let h be o(-3). Let -2*x**3 - 6*x**h - 6020 + 6020 + 0*x**3 = 0. Calculate x.
-3, 0
Let w = -298 - -302. Find q such that 51 - 4252*q**5 - 3 + 32*q + 144*q - 108*q**3 - 32*q**w + 4268*q**5 + 116*q**2 = 0.
-2, -1/2, 2, 3
Let u(b) be the first derivative of 30 - 2/25*b**5 - 7/10*b**2 - 2/15*b**3 - 1/30*b**6 + 4/5*b + 2/5*b**4. Factor u(c).
-(c - 1)**3*(c + 1)*(c + 4)/5
Let y(q) be the second derivative of -q**6/6 + 5*q**5/4 - 5*q**4/2 - 10*q**3/3 + 20*q**2 + 1165*q. What is l in y(l) = 0?
-1, 2
Let g(l) be the second derivative of -3/2*l**2 - 1/24*l**4 - 5/12*l**3 - 2*l - 18. Determine k, given that g(k) = 0.
-3, -2
Let r(z) be the second derivative of z**5/220 + z**4/33 - 91*z**3/66 - 245*z**2/11 + 1440*z. Determine v, given that r(v) = 0.
-7, 10
Let u(s) be the second derivative of -3*s**5/160 - s**4/8 + 35*s**3/16 + 225*s**2/8 - s - 8. Factor u(y).
-3*(y - 6)*(y + 5)**2/8
Let c(j) = j**3 - 2*j**2 + 2. Let d be c(2). Factor 4*v**4 + 818*v**2 + 1119*v**d - 168*v**3 - 501*v**2 + 328*v**2.
4*v**2*(v - 21)**2
Let i(r) be the third derivative of r**5/15 + 5*r**4/2 + 28*r**3/3 + 1510*r**2. Factor i(f).
4*(f + 1)*(f + 14)
Let s be (10*-1)/(1/(-15)). Factor -280 + 237*o + 323*o + 15*o**2 - s*o.
5*(o + 28)*(3*o - 2)
Let r(z) be the second derivative of -3/20*z**5 + 0*z**2 + 9/4*z**4 + 0*z**3 + 0 - 118*z. Find d, given that r(d) = 0.
0, 9
Factor -44*b**2 - 288 - 4/7*b**3 + 2328/7*b.
-4*(b - 6)*(b - 1)*(b + 84)/7
Let r = -157 - -110. Let c = r + 50. Determine b so that c*b**2 - 25 - 28 + 50 = 0.
-1, 1
Let h(w) = w**3 - 6*w**2 + 11*w - 9. Let c be h(4). Factor 151*i - 295*i + i**c - 13*i**2 + 144*i.
i**2*(i - 13)
Suppose 200*a - 122 - 4 = 137*a. Factor -10/3*c + 8/3 + 2/3*c**a.
2*(c - 4)*(c - 1)/3
Let n(s) be the third derivative of s**7/840 + 31*s**6/480 + 109*s**5/80 + 1265*s**4/96 + 121*s**3/3 - 2248*s**2. Suppose n(x) = 0. What is x?
-11, -8, -1
Let m = 1117 + -1115. Let r be (48/180)/(m + 10/(-6)). Suppose 24/5*n - r*n**2 + 0 = 0. What is n?
0, 6
Let j be 3 + (-2)/(1 - 3). Suppose -135*s**2 - 12*s - 5 - j + 132*s**2 = 0. Calculate s.
-3, -1
Let q(d) be the first derivative of d**6/1980 - 7*d**5/660 + 5*d**4/66 - 2*d**3 + d**2/2 - 14. Let x(m) be the third derivative of q(m). Factor x(p).
2*(p - 5)*(p - 2)/11
Factor 32/3*p - 8*p**3 + 5/3*p**4 + 1/3*p**5 + 0 + 4/3*p**2.
p*(p - 2)**2*(p + 1)*(p + 8)/3
Let n(b) be the third derivative of b**2 + 30 + 0*b + 0*b**3 + 1/105*b**5 + 1/2*b**4. Factor n(p).
4*p*(p + 21)/7
Suppose -5*x - 137 = 4*i, -10*i + 5*x - 115 = -5*i. Let n be (-1)/(-4) + ((-49)/(-7))/i. Factor -4/9*z**4 + 2/9*z**3 + 0 + n*z + 0*z**2 + 2/9*z**5.
2*z**3*(z - 1)**2/9
Let l = 55 - 35. Suppose -6 = -l*p + 18*p. Solve 2*r**3 - 16 - 4*r**2 + 31*r - 6*r - 10*r**2 + p*r = 0.
1, 2, 4
Let v(o) be the second derivative of -o**5/180 - 143*o**4/108 - 5183*o**3/54 - 5041*o**2/18 - 8*o + 44. Factor v(j).
-(j + 1)*(j + 71)**2/9
Let h(j) be the third derivative of -j**8/5880 + j**7/980 - 73*j**3/6 - 3*j**2 + 8*j. Let k(u) be the first derivative of h(u). Find p such that k(p) = 0.
0, 3
Let z(v) be the first derivative of -v**3/3 - v**2/2 - v + 65. Let t(h) = -2*h**2 - 55*h + 673. Let r(d) = -4*t(d) + 12*z(d). Factor r(j).
-4*(j - 26)**2
Let t = 433 + -436. Let h(w) = -15*w**3 + 35*w**2 + 4*w - 16. Let r(v) = 15*v**3 - 35*v**2 - 3*v + 17. Let a(u) = t*h(u) - 4*r(u). Factor a(d).
-5*(d - 2)*(d - 1)*(3*d + 2)
Suppose -163 + 604 = 9*h. Let i = h + -25. Find k such that i*k**2 + 29*k**2 + 20*k - 57*k**2 = 0.
0, 5
Let n be (-3 + -4)*-6*(-6)/(-84). Suppose n*q + 27 = 5*r, -4*r + 9 + 11 = -2*q. Factor 0 + 1/8*g**r - 3/8*g + 1/4*g**2.
g*(g - 1)*(g + 3)/8
Solve -6*s**4 - 122/3*s**3 - 20 - 98/3*s**2 + 298/3*s = 0.
-5, -3, 2/9, 1
Let q(h) be the first derivative of 3/55*h**5 - 19/44*h**4 + 60 + 31/33*h**3 + 3/22*h**2 - 18/11*h. Determine g, given that q(g) = 0.
-2/3, 1, 3
Let n(x) = -3*x**2 + 57*x + 588. Let d(r) = -6*r**2 + 111*r + 1172. Let w(j) = 3*d(j) - 5*n(j). Factor w(y).
-3*(y - 24)*(y + 8)
Let h(y) be the third derivative of -y**7/1050 - y**6/300 + 11*y**5/25 - 59*y**4/15 + 224*y**3/15 + 36*y**2 + 3. Factor h(o).
-(o - 8)*(o - 2)**2*(o + 14)/5
Let c(w) be the second derivative of -w**4/36 - 1121*w**3/9 - 1256641*w**2/6 + 2*w + 660. Factor c(z).
-(z + 1121)**2/3
Let i(a) = -a**2 - 50*a - 96. Let f be i(-48). Let l(g) be the second derivative of f + 2*g**3 + 1/3*g**4 + 0*g**2 + 11*g. Factor l(s).
4*s*(s + 3)
Let b = 2162174 + -15135186/7. Determine m, given that 198/7*m**2 - b - 44/7*m + 2*m**4 - 136/7*m**3 = 0.
-2/7, 1, 8
Let s = -316875/137 + 2313. Le