00*l - 169498.
-3*(l - 47)**3*(l - 1)
Let m(v) = -v**3 - 105*v**2 - 180*v + 24. Let n(b) = -36*b**2 - 60*b + 9. Let o(w) = -3*m(w) + 8*n(w). Determine l so that o(l) = 0.
-5, -4, 0
Suppose 0 = 2*z - 14, -h = -z + 23 - 19. Find m, given that -4/7*m + 4/7*m**h - 1/7*m**2 + 0 + 1/7*m**4 = 0.
-4, -1, 0, 1
Determine c so that 181*c**2 + 215*c**2 + 135 - 3*c**3 + 179*c**2 - 117*c - 542*c**2 = 0.
3, 5
Suppose -h**3 - 42*h - 42548 + 42548 - 4*h**2 - 9*h**2 = 0. Calculate h.
-7, -6, 0
Factor -2291328 - 65*b + 64*b**2 + 2291328 + b**3.
b*(b - 1)*(b + 65)
Let m(n) be the second derivative of -n**5/80 + n**4/12 + n**3/6 - 2*n**2 - 62*n - 9. Factor m(p).
-(p - 4)*(p - 2)*(p + 2)/4
Let g(n) be the third derivative of -n**8/504 + 11*n**7/105 + n**6/15 - 2926*n**5/45 + 484*n**4/3 + 39*n**2 + 3*n + 1. Solve g(k) = 0 for k.
-12, 0, 1, 22
Let s(t) be the third derivative of -8*t**6/105 - 248*t**5/35 - 363*t**4/14 - 270*t**3/7 - 1681*t**2. Factor s(b).
-4*(b + 45)*(4*b + 3)**2/7
Let w = 8517 - 8513. Let q(u) be the third derivative of 0*u**w + 14*u**2 + 0*u**3 - 1/20*u**5 + 0*u + 0. Solve q(l) = 0.
0
Factor -255*p - 129*p + 4*p**4 - 190 - 555*p**2 - 181*p + 0*p**4 + p**4 - 175*p**3.
5*(p - 38)*(p + 1)**3
Let r = 6919 + -6915. Let f(m) be the second derivative of 0*m**2 + 24*m - 1/40*m**5 + 0 - 1/12*m**3 + 1/12*m**r. Factor f(a).
-a*(a - 1)**2/2
Let a be (480/18)/(-10)*(-6)/4. Let b be -15 + 16 - (1 + (-16)/12). Factor 4/3*s - 1/3*s**a + s**2 - b - 2/3*s**3.
-(s - 1)**2*(s + 2)**2/3
Suppose 3*y = -8 - 19. Let m(l) = -2*l**2 - 17*l + 11. Let s be m(y). Factor -r**2 + 7*r**2 - 3*r**s.
3*r**2
What is p in -20/7*p**4 - 2/7*p**5 - 58/7*p**3 + 0 - 16/7*p**2 + 96/7*p = 0?
-4, -3, 0, 1
Let w be ((-336)/126)/((-8)/3). Suppose 7*b - 11*b = 3*c - 7, 4*b = 5*c - w. Factor -1/4*h**2 - b - h.
-(h + 2)**2/4
Let c = -62811 + 188443/3. Find i, given that 4 + 2/3*i**2 + c*i = 0.
-3, -2
Factor -2078*a**4 - 9*a**3 - 15*a**3 + 20*a**2 - 6*a - 2*a**5 + 2090*a**4.
-2*a*(a - 3)*(a - 1)**3
Let r = -125 + 127. Let v be r*4/8 + 3. Determine i, given that 0*i**2 + 2*i**3 - 26*i - v*i**3 - 16*i**2 - 12 = 0.
-6, -1
Let w(v) be the third derivative of -v**6/48 - 5*v**5/24 - 5*v**4/12 - 1666*v**2. Suppose w(m) = 0. What is m?
-4, -1, 0
Factor 97*s - 15 + 24*s**2 + 167*s**4 - 10 - 166*s**4 - 10*s**3 - 87*s.
(s - 5)**2*(s - 1)*(s + 1)
Factor 70894 + 84643*f + 54482*f + 249306 + 26286 + f**3 - 71204 + 744*f**2.
(f + 2)*(f + 371)**2
Let l(r) be the first derivative of r**4/2 + 98*r**3/3 + 784*r**2 + 8232*r - 1955. Find b, given that l(b) = 0.
-21, -14
Solve -10/11*r**3 - 2/11*r**5 + 48/11*r**2 - 12/11*r**4 + 0 + 72/11*r = 0.
-3, -2, 0, 2
Suppose -3025 + 46*l**2 - 129*l**2 - 80*l**2 + 10*l**3 - 82*l**2 + 1760*l = 0. What is l?
5/2, 11
Suppose 5*r = 5*a + 17 + 33, -5*r + 42 = -3*a. Suppose r = 3*k - 3. Factor -441*h**k + 40 - 23 - 84*h**2 + 177*h + 37 - 6*h.
-3*(3*h - 2)*(7*h + 3)**2
Suppose -206 = -533*u + 55 + 1338. Factor -2/5*s - 1/5*s**u + 0 - 3/5*s**2.
-s*(s + 1)*(s + 2)/5
Let l(y) = 15*y**4 - 312*y**3 + 9*y**2 + 330*y + 12. Let f(m) = -18*m**4 + 310*m**3 - 10*m**2 - 331*m - 14. Let j(k) = 6*f(k) + 7*l(k). Factor j(u).
-3*u*(u - 1)*(u + 1)*(u + 108)
Let i be 3*-3*((-3)/(-2) - 2)/((-2744)/(-784)). Factor -6/7 - 3/7*h**2 - i*h.
-3*(h + 1)*(h + 2)/7
Let m be 11/880*(-2 - 52*3) - -2. Let w(u) be the second derivative of m*u**6 + 0 + 0*u**2 + 10*u + 0*u**3 + 1/16*u**4 - 3/40*u**5. Factor w(b).
3*b**2*(b - 1)**2/4
Let d(o) be the third derivative of o**5/180 - o**4/8 - 5*o**3/9 - 2*o**2 + 1047. Suppose d(y) = 0. What is y?
-1, 10
Let n(c) = -3*c**3 + 3*c**2 + 415*c + 412. Let v be n(-1). Factor 0 + 9/8*w**2 + 3/8*w**v + 3/4*w.
3*w*(w + 1)*(w + 2)/8
Let o(b) be the third derivative of 31/8*b**4 + 0*b + 33/20*b**5 + 0 + 1/70*b**7 + 5*b**3 + 12*b**2 + 13/40*b**6. Find z, given that o(z) = 0.
-10, -1
Determine t, given that 34992 + 432*t + 4/3*t**2 = 0.
-162
Let z = 297616/23499 + 38/23499. Find s such that 2/9*s**2 + 112/9 + z*s = 0.
-56, -1
Let l(k) be the second derivative of 3*k**5/140 - 5*k**4/28 + 15*k**2/2 - 2*k - 82. Let q(r) be the first derivative of l(r). Factor q(i).
3*i*(3*i - 10)/7
Let o(a) = -65*a**3 - 615*a**2 - 652*a - 199. Let c(b) = 67*b**3 + 615*b**2 + 653*b + 197. Let q(p) = -5*c(p) - 4*o(p). Determine f, given that q(f) = 0.
-7, -3/5
Let d(s) = s**5 + s + 1. Let k = -4 + 11. Let b(y) = -6 - 20*y**2 - 10*y**4 + k*y**2 - 11*y**5 + 13*y**2 - 6*y. Let n(t) = -b(t) - 6*d(t). Factor n(u).
5*u**4*(u + 2)
Suppose r = 4*j - 9*j - 19, 4*j + 35 = -3*r. Let m be (-38)/57*r/2. Factor -8*h**m - 76*h**5 + 8*h**2 + 48*h**4 + 96*h**5 + 44*h**3.
4*h**2*(h + 1)**2*(5*h + 2)
Suppose -5*p - 3*d + 4*d = -11, -19 = -p - 4*d. Factor 197*w**3 + 0*w - 14*w - 195*w**p - 12.
2*(w - 3)*(w + 1)*(w + 2)
Let h = 13511 + -13506. Let d(s) be the first derivative of -1/10*s**2 - 1/25*s**h + 0*s + 1/15*s**3 - 3 + 1/20*s**4. What is n in d(n) = 0?
-1, 0, 1
Let d(x) be the second derivative of 59*x**4/9 + 314*x**3/3 - 16*x**2/3 + 144*x. Factor d(k).
4*(k + 8)*(59*k - 1)/3
Let m(k) = -5*k**2 + 14*k + 8. Suppose 0 = 4*x - 9 - 11. Let p(a) = -4*a + 5*a + 6*a**2 - 3*a**2 - 10*a - 5. Let u(q) = x*m(q) + 8*p(q). Factor u(l).
-l*(l + 2)
Suppose -3 - 2 = -m. Let t = -526 - -575. What is g in -32 + m*g**3 - 27 - 15*g + t = 0?
-1, 2
Suppose 3*x - 7*w = -12*w + 70, 0 = 4*x - 5*w - 70. Suppose -29*k + 18 = -x*k. Determine j so that -28 + k*j**2 + 26 + 3*j - 3*j**2 = 0.
1, 2
Let t = -61 + 34. Let g = t + 30. Solve 255 + 3*n**3 - 255 - 3*n + g*n**4 - 3*n**2 = 0.
-1, 0, 1
Let n(d) = -42*d**2 - 1667*d - 6656. Let l(v) = 236*v**2 + 9172*v + 36608. Let t(w) = -5*l(w) - 28*n(w). Determine r, given that t(r) = 0.
-4, 208
Let k(m) be the first derivative of 24 - 3/16*m**4 + 51/8*m**2 - 4*m**3 + 0*m. Find o, given that k(o) = 0.
-17, 0, 1
Let i be (0 - -9)*(6 - 119/21). Let a(f) be the third derivative of -19*f**2 - 1/3*f**4 + 1/30*f**5 + 0*f + 0 + 4/3*f**i. Factor a(t).
2*(t - 2)**2
Factor -16*u**2 + 364/3*u + 136 - 4/3*u**3.
-4*(u - 6)*(u + 1)*(u + 17)/3
Let l(w) = 8*w**2 - 22*w + 324. Let m(p) = 28*p**2 - 64*p + 976. Let q(r) = 10*l(r) - 3*m(r). Determine h so that q(h) = 0.
-13, 6
Suppose 31*y - 53 = 40. Suppose y*b**2 - b**4 + 16*b - 2*b**3 + b - 17*b = 0. What is b?
-3, 0, 1
Factor 3*j**4 - 178*j**3 - 1472 + 0*j**4 + 96*j**2 - 2*j**4 - 2200*j - 43*j**2 - 1145*j**2.
(j - 184)*(j + 2)**3
Let v(y) be the third derivative of y**9/151200 + y**8/10080 - y**7/2100 - 14*y**5/15 + 57*y**2. Let l(u) be the third derivative of v(u). Solve l(x) = 0 for x.
-6, 0, 1
Factor -189*p**2 + 188*p**3 - 702 + 1431*p - 646*p**2 + 56*p**3 - 8*p**4 - 155*p**2.
-(p - 26)*(2*p - 3)**3
Let t be 8 - (11/1 + -2 + 748035/(-810)). Factor -60720*y**3 - 21/4*y**5 - 19166400*y + 5622144 - 1771440*y**2 - t*y**4.
-3*(y + 44)**4*(7*y - 2)/4
Let y(r) be the third derivative of r**10/88200 - r**9/70560 - r**8/7840 + 8*r**5/15 + 2*r**2 - r. Let k(w) be the third derivative of y(w). Factor k(t).
6*t**2*(t + 1)*(2*t - 3)/7
Let w(u) be the second derivative of u**5/60 - 4*u**4/9 + 17*u**3/6 - 6*u**2 - 14280*u. Suppose w(q) = 0. What is q?
1, 3, 12
Suppose -7*j = -6 - 113. Factor 16 - 131*i**4 + j*i + 135*i**4 - 5*i - 12*i**3 - 20*i**2.
4*(i - 4)*(i - 1)*(i + 1)**2
Let s(l) be the first derivative of l**6/72 + l**5/6 + 5*l**4/6 + 29*l**3 - 5. Let j(c) be the third derivative of s(c). Factor j(k).
5*(k + 2)**2
Let u(h) be the first derivative of h**6/33 - 168*h**5/55 + 1301*h**4/22 + 38228*h**3/33 + 67680*h**2/11 + 141376*h/11 + 42. Let u(k) = 0. Calculate k.
-4, -2, 47
Let r(c) be the second derivative of -1/3*c**4 - 32*c**2 + 19*c + 1 + 16/3*c**3. Factor r(p).
-4*(p - 4)**2
Factor 88/3*x**3 + 92/3*x + 182/3*x**2 + 0 - 2/3*x**4.
-2*x*(x - 46)*(x + 1)**2/3
Suppose 3*a - 28 = t, -t + 2332*a - 2333*a + 16 = 0. Factor -14/3*s - 16/3*s**2 - 4/3*s**3 - 4/3 + 4/3*s**4 + 2/3*s**t.
2*(s - 2)*(s + 1)**4/3
Let b = -4/47 + 221/940. Let a(i) be the second derivative of -1/4*i**4 + 3*i + 0 + i**3 + 0*i**2 - b*i**5. Let a(n) = 0. Calculate n.
-2, 0, 1
Let h be 4*180/96*((-1)/12 - (-9)/12). Factor 0*z**2 + 0 - 2/15*z**h + 0*z + 2/3*z**3 - 8/15*z**4.
-2*z**3*(z - 1)*(z + 5)/15
What is q in 20*q**3 + 67*q**2 - 353*q - 5*q**3 + 7*q**2 + 504 - 680*q**2 - 667*q = 0?
-2, 2/5, 42
Suppose 2*q - 5471