.
4*i*(i - 15)*(i + 15)
Let h(s) = -s**2 + 6. Suppose 3*k = 3*b + 3, 0*b + 11 = -k - 3*b. Let o be h(k). Let -210*f + 202*f + 2*f**2 - 3*f**o + 5*f**2 = 0. What is f?
0, 2
Let o(l) be the third derivative of -l**6/120 + 8*l**5/15 - 221*l**4/24 - 289*l**3/3 - 25*l**2 - 7*l. Factor o(y).
-(y - 17)**2*(y + 2)
Determine l, given that -164 - 116 + 1403*l - 1677*l + 6*l**2 = 0.
-1, 140/3
Let z be (-5 + 161/28)/(2/8). Find m, given that -2*m + 4*m**z - 22*m**2 - 2*m**5 + 2*m**2 + 40*m**2 - 10 - 10*m**4 = 0.
-5, -1, 1
Let i(g) = -g**3 + 9*g**2 - 6*g + 13. Let l(v) = -v. Let r be l(-8). Let z be i(r). Factor 13*x**3 + 19*x**3 - 11*x**2 - z*x**2 + 18*x**3 + 8*x.
2*x*(5*x - 2)**2
Factor -26/9*v + 2/9*v**2 + 20/3.
2*(v - 10)*(v - 3)/9
Let x(d) be the second derivative of 15/2*d**2 + 8*d + 7/4*d**3 - 1/2*d**4 + 1 - 3/40*d**5. Suppose x(b) = 0. Calculate b.
-5, -1, 2
Let z be (-38)/114 + 982/3. Let y = 329 - z. Factor -1 - f - 1/4*f**y.
-(f + 2)**2/4
Suppose 0 + 170 = 61*t - 13. Let s(a) be the first derivative of 0*a**2 + 0*a**t + 1/5*a**5 - 11 + 1/12*a**6 + 1/8*a**4 + 0*a. Find n such that s(n) = 0.
-1, 0
Determine x so that -2155*x**5 + 4286*x**5 + 124*x - 1114*x**3 + 1134*x**4 - 2149*x**5 - 126*x**2 = 0.
-1/3, 0, 1/3, 1, 62
Let a(c) be the third derivative of c**6/600 + 7*c**5/30 + 131*c**4/40 + 96*c**3/5 + c**2 + 209*c + 3. Factor a(j).
(j + 3)**2*(j + 64)/5
Let r(f) be the third derivative of -f**7/1470 + f**6/42 + 1452*f**2 + 2. Factor r(m).
-m**3*(m - 20)/7
Suppose -962/3*f**2 + 1520*f + 76/3*f**3 - 2400 - 2/3*f**4 = 0. Calculate f.
4, 15
Let u(w) be the third derivative of w**7/700 - w**6/150 - w**5/100 + w**4/10 - 37*w**3/6 - 3*w**2 - 15*w. Let x(s) be the first derivative of u(s). Factor x(y).
6*(y - 2)*(y - 1)*(y + 1)/5
Let w(s) be the first derivative of -s**6/420 + s**5/14 + s**4/84 - 5*s**3/7 + 17*s**2/2 - 2*s - 123. Let l(u) be the second derivative of w(u). Factor l(p).
-2*(p - 15)*(p - 1)*(p + 1)/7
Let -120 + 275*f + 3*f**4 - 257*f - 81*f**2 - 240*f + 24*f**3 = 0. What is f?
-10, -1, 4
Let r be (4/5)/(2 - 0). Let u = -6406/155 - -3856/93. Solve 0 - r*t - u*t**2 = 0 for t.
-3, 0
Let v = 513145/1463 + -6624/19. Let a = 28/11 - v. Determine b, given that -1521/7*b - 117/7*b**2 - 6591/7 - a*b**3 = 0.
-13
Let l = 57 + -60. Let u(z) = 2*z**3 + 13*z**2 + 3*z. Let h(f) = -2*f**3 - 14*f**2 - 4*f. Let g(v) = l*h(v) - 4*u(v). Factor g(r).
-2*r**2*(r + 5)
Let o(n) be the first derivative of 11/6*n**2 - 4*n + 1/9*n**3 + 32. Find x, given that o(x) = 0.
-12, 1
Let a(o) = -o**2 - 3095*o - 3010. Let r(w) = 2*w**2 + 7218*w + 7024. Let i(t) = 16*a(t) + 7*r(t). Factor i(v).
-2*(v - 504)*(v + 1)
Let m(l) be the first derivative of -15/2*l**2 + 5/12*l**4 + 1 + 5/3*l**3 + 4*l. Let v(r) be the first derivative of m(r). Let v(p) = 0. What is p?
-3, 1
Let o(c) be the third derivative of 2*c**2 + 1/150*c**5 - 40 - 1/15*c**4 - 4/5*c**3 + 0*c. Determine f so that o(f) = 0.
-2, 6
Let y be 355/115 + (21/23 + 9 - 10). Let 0 - 2/11*j**2 + 2/11*j**y - 4/11*j = 0. Calculate j.
-1, 0, 2
Let p(k) be the first derivative of -k**3 - 195*k**2/2 - 192*k + 1310. Determine o, given that p(o) = 0.
-64, -1
Let a(y) = -12*y**3 - 282*y**2 - 364*y - 117. Let x(v) = -71*v**3 - 1692*v**2 - 2184*v - 703. Let b(u) = 34*a(u) - 6*x(u). Factor b(d).
2*(d + 30)*(3*d + 2)**2
Solve -68*v**2 + 81/4*v**3 - 23 - 441/4*v + v**4 = 0.
-23, -1, -1/4, 4
Let h(q) be the first derivative of q**6/48 + q**5/20 - 17*q**4/32 + q**3/12 + 13*q**2/4 - 5*q - 1200. Determine g so that h(g) = 0.
-5, -2, 1, 2
Let l be (-9)/((-27)/2)*15/(-2). Let k be 4 - (15/l - -5). What is j in 8*j - 5*j**k - j - 3*j + j = 0?
0, 1
Let a(w) = 3*w**4 + 9*w**3 + 38*w**2 + 28*w - 2. Let l(u) = u**4 - u**3 + 3*u**2 - 1. Let s(c) = -a(c) + 2*l(c). Find n, given that s(n) = 0.
-7, -2, 0
Factor 9/7*u + 11/7*u**2 - 2/7.
(u + 1)*(11*u - 2)/7
Let r be (-12 + 10)/(2/(-10)). Factor r*v**3 + 134*v**2 + 2*v**4 - 8*v - 16 + 120*v**2 - 242*v**2.
2*(v - 1)*(v + 2)**3
Let j(r) = -2*r**4 - 14*r**3 - 18*r**2 + 54*r + 114. Let h(b) = 4*b**4 + 28*b**3 + 36*b**2 - 108*b - 230. Let w(n) = 3*h(n) + 7*j(n). Factor w(f).
-2*(f - 2)*(f + 3)**3
Let r(c) be the third derivative of c**8/4032 - c**6/144 - c**5/3 + 67*c**2. Let q(k) be the third derivative of r(k). Factor q(j).
5*(j - 1)*(j + 1)
Suppose -o = -4*u + 2*o + 166, -217 = -5*u - o. Factor -u*q + 52*q + 25*q**2 - 27 - 10*q**2 + 3*q**3.
3*(q - 1)*(q + 3)**2
Factor 40/3*b + 42 + 1/6*b**3 - 7/2*b**2.
(b - 14)*(b - 9)*(b + 2)/6
Let l = -1024 - -607. Let i = l - -421. Factor -35/6*f**2 + 2*f**3 + 6 - 1/6*f**i - 2*f.
-(f - 6)**2*(f - 1)*(f + 1)/6
Let a be (-363)/110 + 6 - (-90)/(-36). Factor a*s**2 + 12/5*s + 36/5.
(s + 6)**2/5
Factor 110*q**2 + 6357*q + 24632749 - 742*q - 24632494.
5*(q + 51)*(22*q + 1)
Let c(a) be the second derivative of -3*a**5/20 + a**4 - 5*a**3/2 + 3*a**2 + 605*a. Solve c(h) = 0 for h.
1, 2
Let y(r) be the first derivative of -r**5/100 - 8*r**4/15 - 128*r**3/15 + 103*r - 33. Let g(c) be the first derivative of y(c). Factor g(l).
-l*(l + 16)**2/5
Let d be -3 + (0 - 1) + 14/2. What is c in -539*c**4 + 2*c**5 - 4*c**5 + 1 + 547*c**4 + 10*c - 5 - 8*c**d - 4*c**2 = 0?
-1, 1, 2
Let p = 426 + -1277/3. Let x(g) be the second derivative of 1/50*g**5 - 3/5*g**2 - 1/30*g**4 - p*g**3 + 0 - 14*g. Factor x(l).
2*(l - 3)*(l + 1)**2/5
Let a = 2384 - 7147/3. Let m(k) be the first derivative of -5*k**4 + a*k**3 - 5*k - 15 + 10*k**2. Solve m(c) = 0.
-1, 1/4, 1
Let t be 3/(468/570) - ((-144)/(-156))/6. Suppose 3/2*s**2 - 3 - t*s - 1/2*s**4 + 3/2*s**3 = 0. Calculate s.
-1, 2, 3
Let i(n) = 2*n + 6. Let g be i(4). Let p(q) = -5*q**2 - 9 - 4*q + 5 - 3. Let t(y) = y**2 + 1. Let c(j) = g*t(j) + 2*p(j). Suppose c(v) = 0. Calculate v.
0, 2
Determine m so that -1/2*m**2 + 15/2*m + 77 = 0.
-7, 22
Let v(j) be the second derivative of 0 + 0*j**3 + 83*j - 1/6*j**4 + 4*j**2. Factor v(a).
-2*(a - 2)*(a + 2)
Let n(r) = 28*r**4 - 556*r**3 + 92*r**2 + 2*r + 2. Let z(u) = 87*u**4 - 1669*u**3 + 272*u**2 + 7*u + 7. Let p(x) = -14*n(x) + 4*z(x). Factor p(f).
-4*f**2*(f - 25)*(11*f - 2)
Let r be 15*(-860)/258*(-3)/18. Let 8*y + 1/3*y**2 - r = 0. Calculate y.
-25, 1
Let a be (2 + 4/(-72) + 0)*(2891/295 + -9). Solve 8/9*p**4 + 22/9*p - 22/9*p**3 - a*p**2 + 2/3 = 0.
-1, -1/4, 1, 3
Factor -30/7*a - 600/7 + 3/7*a**2.
3*(a - 20)*(a + 10)/7
Let s(q) be the first derivative of 1/18*q**4 + 0*q + 0*q**3 - 1/9*q**2 + 84. Factor s(m).
2*m*(m - 1)*(m + 1)/9
Let i(v) be the third derivative of v**6/240 - 21*v**5/20 + 441*v**4/4 - 16*v**3 - 9*v**2. Let o(q) be the first derivative of i(q). Let o(b) = 0. Calculate b.
42
Let x be ((-4)/28)/(11/(33 + -77)). Factor x*q**2 - 228/7 - 32*q.
4*(q - 57)*(q + 1)/7
Let h(s) = s**2 + 213*s + 818. Let j(r) = -6*r**2 - 1279*r - 4903. Let q(u) = 26*h(u) + 4*j(u). Factor q(a).
2*(a + 4)*(a + 207)
Let o(l) = 2*l**3 + 2*l**2 + l + 1. Let f(v) = -13*v**3 - 28*v**2 - 41*v - 29. Let g(s) = f(s) + 5*o(s). Factor g(q).
-3*(q + 2)**3
Let y(a) be the first derivative of -a**6/324 - 17*a**5/135 + 7*a**4/27 - 62*a**3 - 210. Let d(t) be the third derivative of y(t). Factor d(f).
-2*(f + 14)*(5*f - 2)/9
Let t(h) be the second derivative of -1/110*h**5 - 1/66*h**4 + 9/11*h**2 + 3/11*h**3 + 0 + 16*h. Factor t(y).
-2*(y - 3)*(y + 1)*(y + 3)/11
Let i(v) be the third derivative of -v**8/2520 + 4*v**7/1575 - v**6/900 - 7*v**5/225 + v**4/9 - 8*v**3/45 - 3*v**2 - 10. Solve i(y) = 0 for y.
-2, 1, 2
Let l be (-68200)/264*156/(-90). Solve l*k**3 + 16/9 + 532/3*k**2 + 88/3*k + 304*k**4 - 288*k**5 = 0 for k.
-1/4, -2/9, 2
Let h be 28/238 - 30/255. Let l(v) be the third derivative of -7/6*v**3 + h*v - 21*v**2 - 1/60*v**5 + 1/3*v**4 + 0. Suppose l(t) = 0. Calculate t.
1, 7
Let m(d) be the second derivative of -d**4/16 + 11*d**3/6 - 145*d**2/8 - 3*d + 1996. Let m(i) = 0. Calculate i.
5, 29/3
What is v in -29*v - 17*v**3 + 34*v**3 + 24*v**2 + 11*v**3 + 29*v + v**5 + 10*v**4 = 0?
-6, -2, 0
Let a(x) be the third derivative of 2/225*x**5 - x + 0*x**3 - 1/45*x**4 - 49*x**2 + 0 - 1/900*x**6. Determine i, given that a(i) = 0.
0, 2
Suppose 2*x - 9 = 1. Suppose 8*h = x*h + 1137. Determine z so that 50*z**3 - 15*z - h*z**2 + 334*z**2 + 5 + 5 = 0.
-1/2, 2/5, 1
Let r = 417 + -415. Suppose -16 + 16 = r*v. Let 0*n - 2/3*n**5 + v + 4/3*n**2 + 0*n**