*p**3 - 5*p**4 - 287*p.
-5*p*(p - 27)*(p - 3)*(p + 1)
Suppose 2/5*p**4 - p - 8/5*p**2 + 6/5 - 1/5*p**5 + 6/5*p**3 = 0. Calculate p.
-2, -1, 1, 3
Let o(f) = 4*f**2 - f - 2. Let h(l) = 5*l**2 - 2*l - 1. Let q(x) = -3*h(x) + 4*o(x). Let i be q(-4). Determine v so that -2*v**2 + 6*v + 0 + v - i + 0 = 0.
1/2, 3
Let f be (-20)/(-70) + (-80)/(-14). Let l be 60/27 - f/27. Find d such that -d**2 - 85*d + 91*d + 2*d**2 - 4*d**l = 0.
0, 2
Let r(m) be the first derivative of -4*m**3/3 - 228*m**2 + 944. Suppose r(d) = 0. Calculate d.
-114, 0
Let k be 2/(75875/(-9485) - -8). Solve -4*h**2 - k - 562 + 344*h - 3040 = 0 for h.
43
Suppose 9*u - 39 = -4*u. Let k be (-2 - 4/6) + u. Factor -1/6*m**5 + k*m**2 + 1/6 + 1/2*m - 1/2*m**4 - 1/3*m**3.
-(m - 1)*(m + 1)**4/6
Suppose -16 = 5*v - 6. Let z be -4 + v*28/(-8) - 1. Factor -3*j**z - 144 - j**2 - 589*j + 637*j.
-4*(j - 6)**2
Let u(h) = -12*h - 24. Let f be u(-24). Let v = 264 - f. Factor v + 1/2*i**3 - 3/2*i + i**2.
i*(i - 1)*(i + 3)/2
Let t(p) = -4*p**2 + 23*p - 100. Let l be ((-32)/48)/(1/18). Let i(r) = r**2 - r. Let j(c) = l*i(c) - 4*t(c). Suppose j(n) = 0. What is n?
10
Let s(d) = -70*d + 30*d - 11*d**2 + 20*d**2 - 7*d**2 + 41. Let n be s(19). Solve 16/3*a**2 + 0 + 26/3*a**n - 10*a**5 - 8/3*a - 28/3*a**4 = 0.
-1, 0, 2/5, 2/3
Let f(p) be the third derivative of 0*p**3 + 1/110*p**5 + 2 + 0*p**4 + 1/1320*p**6 + 0*p + 85*p**2. Determine d, given that f(d) = 0.
-6, 0
Let a = 59 + -56. Let l be (2 - (-2 - a/(-1)))*8. Factor -b**5 - l*b**3 - 5*b**2 + b**4 - 6*b**4 + b**2.
-b**2*(b + 1)*(b + 2)**2
Let v(h) be the second derivative of -h**4/42 - 2042*h**3/21 - 1042441*h**2/7 - 3885*h. Factor v(d).
-2*(d + 1021)**2/7
Let q(v) be the first derivative of 5*v**3/3 - 4235*v**2 + 3587045*v - 11473. Factor q(z).
5*(z - 847)**2
Suppose -5*x + 10*x = -2*d + 13, -3*x + 4 = 5*d. Let t(l) be the first derivative of -18 - 3/2*l**2 - 3/7*l - 8/7*l**x + 12/7*l**4. Factor t(g).
3*(g - 1)*(4*g + 1)**2/7
Suppose -190 = 4*p + 2*v, 55*v - 56*v + 85 = -2*p. Let x be -3 - ((-4)/(-6))/(6/p). Let 7/8*h**3 + 2*h**x + 1/4 + 11/8*h = 0. Calculate h.
-1, -2/7
Let d(y) = -28*y**2 - 20*y + 2 + 60*y - 20*y - 20*y. Let x(o) = o**3 - 29*o**2 + 3. Let t(b) = 3*d(b) - 2*x(b). Solve t(r) = 0 for r.
-13, 0
Let g(c) = -c**2 + 9*c + 114. Let k be g(16). Factor -24*v**2 - 294 + 20*v**3 - 10*v**k - 18*v**3 + 182*v.
2*(v - 7)**2*(v - 3)
Let z(c) = 3*c**2 + 7*c + 33. Let x be z(-6). Let g be (4/70)/(7/(x + 6)). Let -3/7*v**3 + g*v**2 - 3/7*v**4 + 0 + 0*v = 0. What is v?
-2, 0, 1
Let t(u) = -u**3 - u**2 - u + 1. Let o(c) = -22*c**3 + 162*c**2 - 24*c - 162. Let r(k) = 4*o(k) - 92*t(k). Factor r(g).
4*(g - 1)*(g + 1)*(g + 185)
Let p be 441/(-231)*110/(-140). Suppose 0 - 4*n + p*n**4 + 11*n**3 - 17/2*n**2 = 0. Calculate n.
-8, -1/3, 0, 1
Find g such that 1/4*g**3 + 1/2*g + 2 - 5/4*g**2 = 0.
-1, 2, 4
Factor 4*x**3 + 7341*x**2 - 10278*x**2 + 5153*x**2.
4*x**2*(x + 554)
Let v(u) = 2*u**2 - 1059*u - 1106. Let p(k) = -5*k**2 + 3175*k + 3330. Let h(s) = -3*p(s) - 10*v(s). Factor h(j).
-5*(j - 214)*(j + 1)
Let j(i) be the third derivative of i**5/80 + 13*i**4/4 - 105*i**3/8 + 1833*i**2. Find w such that j(w) = 0.
-105, 1
Factor -146*v**3 + 36 - 330*v - 33*v**3 - 79*v**3 - 80*v**3 + 832*v**2.
-2*(v - 2)*(13*v - 3)**2
Let l(f) be the third derivative of -f**8/1680 - 319*f**7/1050 - 632*f**6/15 + 256*f**5/3 - 2734*f**2. Factor l(j).
-j**2*(j - 1)*(j + 160)**2/5
Let f be 22*3/24 - (-87)/(-36). Suppose f*s + 1/6*s**2 - 1/2 = 0. What is s?
-3, 1
Let v(q) be the third derivative of -2/3*q**3 + 0*q + 3/5*q**5 + 1/6*q**6 + 3*q**2 + 1/2*q**4 + 0. What is d in v(d) = 0?
-1, 1/5
Let k(v) = -51*v**3 + 25*v**2 + 135*v + 204. Let b(j) = 4*j**3 + j. Let m(x) = 13*b(x) + k(x). Factor m(o).
(o + 2)*(o + 6)*(o + 17)
Let x(a) be the third derivative of -25*a**8/21 + 4*a**7 - 39*a**6/8 + 8*a**5/3 - 5*a**4/8 - 715*a**2. Suppose x(y) = 0. Calculate y.
0, 1/4, 3/5, 1
Let n be 4/((-12)/(-11)) - 17/(17/3). Let d(h) be the first derivative of 1/3*h**2 + 10 - n*h - 1/18*h**3. Factor d(y).
-(y - 2)**2/6
Let j(f) be the second derivative of -1/240*f**5 - 11*f**2 - 1/96*f**4 + 11*f + 0*f**3 + 0. Let i(r) be the first derivative of j(r). Find y such that i(y) = 0.
-1, 0
Let c(r) be the second derivative of -r**6/10 - 141*r**5/20 + 147*r**4/4 - 149*r**3/2 + 75*r**2 - 4962*r - 1. Suppose c(j) = 0. What is j?
-50, 1
Let m be (-59)/((-4720)/32) - (-1)/(-15). Factor -m*z**2 - 7/3 - 8/3*z.
-(z + 1)*(z + 7)/3
Let m(w) be the third derivative of w**6/30 + 24*w**5/5 + 190*w**4 - 11552*w**3/3 - 1383*w**2. Suppose m(q) = 0. Calculate q.
-38, 4
Let p(m) be the first derivative of 3*m**5/20 - m**4/2 + m**3/2 + 13*m**2 + m - 83. Let z(l) be the second derivative of p(l). Solve z(b) = 0.
1/3, 1
Let v be 1/(132/(-24)) - (-63)/165. Let t(b) be the third derivative of 17*b**2 - v*b**3 - 1/150*b**5 + 1/15*b**4 + 0*b + 0. Factor t(o).
-2*(o - 3)*(o - 1)/5
Let c be (-4 + 70/21)*-862. Let v = 576 - c. Solve -2/3*q**4 + 4/3*q**3 - 2 - v*q + 8/3*q**2 = 0 for q.
-1, 1, 3
Let i(b) = -53*b**2 + 7*b + 11. Let v be i(-5). Let l = 1349 + v. Let l - 2/5*d + 36/5*d**3 - 19/5*d**4 - 3*d**2 = 0. Calculate d.
-2/19, 0, 1
Let g(o) = -o**2 + 4*o - 1. Let f be g(3). Let k(a) = 2*a**2 - 2*a - 2. Let x be k(f). Factor 87*l**2 - l - 44*l**2 - 42*l**x + 2*l.
l*(l + 1)
Let q(j) be the first derivative of 4/3*j**3 + 0*j - 1/10*j**5 + 16 + 0*j**2 + 1/4*j**4. Let q(l) = 0. Calculate l.
-2, 0, 4
Let w(y) be the third derivative of 45*y**8/112 - 7*y**7/2 + 47*y**6/24 + 21*y**5/4 + 25*y**4/12 + 3875*y**2 - 2*y. Suppose w(t) = 0. What is t?
-1/3, -2/9, 0, 1, 5
Let w(y) be the first derivative of -y**4/20 - 3*y**3/5 - 23*y**2/10 - 3*y + 67. Solve w(b) = 0 for b.
-5, -3, -1
Let b(s) be the first derivative of 4/3*s**3 - 163 + 40/7*s**2 - 9/7*s**4 + 16/7*s. Determine n so that b(n) = 0.
-1, -2/9, 2
Let h(y) be the second derivative of -y**7/294 - 11*y**6/210 - 2*y**5/35 + 5*y**4/21 - 1566*y. Suppose h(w) = 0. What is w?
-10, -2, 0, 1
Suppose 21*v = 24*v - 6. Suppose -3*b = -v - 4. Let 0*g**3 + 16*g**b + 1 - 30*g**2 + 14*g + 4*g**3 - 5 = 0. What is g?
1/2, 1, 2
Let p(v) be the first derivative of -33/10*v**2 - 14/5*v**3 + 1/10*v**6 + 39 + 3/25*v**5 - 9/10*v**4 - 9/5*v. Determine n, given that p(n) = 0.
-1, 3
Determine m, given that -1/2*m**2 - 12 + 19*m - 3/2*m**3 = 0.
-4, 2/3, 3
Let q(r) be the third derivative of 0 - 25/12*r**4 - 55/6*r**3 + r**5 + 5/12*r**6 - 41*r**2 - 1/42*r**7 + 0*r. Factor q(h).
-5*(h - 11)*(h - 1)*(h + 1)**2
Let x(v) be the second derivative of -v**4/54 - 200*v**3/27 - 199*v**2/9 - 59*v - 7. Factor x(g).
-2*(g + 1)*(g + 199)/9
Let k(v) = -v**3 - v**2 + v + 1. Let u(i) = 3*i**2 - 4*i - 3. Let c(g) = -4*k(g) - u(g). Let n(m) be the first derivative of c(m). Factor n(t).
2*t*(6*t + 1)
Factor -1/7*s**2 - 646/7*s - 104329/7.
-(s + 323)**2/7
Let q = 59101 + -118199/2. Find n, given that 0*n + 0*n**2 + 9*n**3 - q*n**5 + 3/2*n**4 + 0 = 0.
-2, 0, 3
Let y = -83 + 11. Let w be (-24)/80*(-20)/y*-2. Factor 1/6 + 1/3*m**3 + w*m**4 - 1/6*m**5 - 1/3*m**2 - 1/6*m.
-(m - 1)**3*(m + 1)**2/6
Let z(g) be the third derivative of 0*g**4 + 0*g**3 + 59 + 0*g**5 + 0*g + 2*g**2 + 1/144*g**6. Factor z(b).
5*b**3/6
Suppose n + 3*n - 12 = 2*x, 18*x = 4*n + 22*x. Solve -5/4*r**3 + 0 - 25*r - 105/4*r**n = 0.
-20, -1, 0
Factor 656/9 + 1310/9*g + 652/9*g**2 - 2/9*g**3.
-2*(g - 328)*(g + 1)**2/9
Suppose -8*g = -10*g. Suppose g = -4*z - 14 + 22. Solve 7*a**2 + 288 - 21*a - 14*a**z + 9*a**2 + 69*a = 0 for a.
-12
Let m(v) = -21*v**2 - 2179*v - 20477. Let w(y) = 2*y**2 + 198*y + 1862. Let a(u) = -2*m(u) - 23*w(u). Factor a(g).
-4*(g + 13)*(g + 36)
Let y(n) = 12*n**3 + 123*n**2 - 425*n + 52. Let h be y(-13). Let h + 2/5*r**2 + 6*r = 0. What is r?
-15, 0
Let u(y) be the first derivative of y**4/2 - 116*y**3 + 345*y**2 - 344*y + 389. Factor u(m).
2*(m - 172)*(m - 1)**2
Let i = -142341/5 + 28469. What is d in 2/5 - i*d + 0*d**2 + 4/5*d**3 - 2/5*d**4 = 0?
-1, 1
Let p = -80199/2 - -40104. Solve 1/4 - 11/4*o**2 - 2*o**4 + 0*o - p*o**3 = 0 for o.
-1, -1/2, 1/4
Let v(h) = 973*h**3 + 12555*h**2 + 969*h + 13. Let n(p) = -1948*p**3 - 25110*p**2 - 1965*p - 26. Let t(o) = 6*n(o) + 13*v(o). Factor t(z).
(z + 13)*(31*z + 1)**2
Let g = 1595/6 + -265. Let u be 24/(-432) - 8/((-720)/