- 8*r(w). Factor g(l).
4*l*(l - 1)*(l + 3)
Let h(l) = l**3 + 5*l**2 - 7. Let m be h(-2). Determine p so that -4*p - 500 + 12*p**2 + 500 - 12*p**4 + 9*p**5 - m*p**3 = 0.
-1, 0, 2/3, 1
Let x = 681 + -2041/3. Let m(h) be the third derivative of 0*h - 1/3*h**4 - x*h**3 + 6*h**2 - 1/15*h**5 + 0. Factor m(u).
-4*(u + 1)**2
Let m(c) be the first derivative of -c**6/24 + c**5/3 - 25*c**4/24 + 5*c**3/3 - c**2/2 - 23. Let v(n) be the second derivative of m(n). Factor v(g).
-5*(g - 2)*(g - 1)**2
Factor 25/3 - 10/3*v**2 - 5*v.
-5*(v - 1)*(2*v + 5)/3
Let v(j) be the third derivative of -j**8/840 - 3*j**7/175 - 13*j**6/300 + 3*j**5/10 + 5*j**4/6 + 54*j**2 - j. Find p such that v(p) = 0.
-5, -1, 0, 2
Let j = -7323/7 + 1047. Factor -j*z**2 + 0 - 6/7*z.
-6*z*(z + 1)/7
Let u(k) be the third derivative of k**7/42 - 5*k**6/24 + k**5/12 + 35*k**4/8 - 15*k**3 + k**2 - 8*k. Solve u(p) = 0 for p.
-2, 1, 3
Let z(o) be the first derivative of 16*o**3/3 - 14*o**2 - 8*o - 57. Factor z(f).
4*(f - 2)*(4*f + 1)
Suppose 204 = 503*d - 401*d. Let h be 41/36 - 1/4. What is g in 2/9*g**d + 0*g - h = 0?
-2, 2
Let r(c) be the first derivative of 25*c**3/3 - 5*c**2/2 - 20*c + 65. Factor r(j).
5*(j - 1)*(5*j + 4)
Let h(c) be the third derivative of c**6/480 - c**5/240 - c**4/48 - 25*c**2 - 6*c. Suppose h(i) = 0. Calculate i.
-1, 0, 2
Let u(h) be the second derivative of h**10/50400 - h**9/6300 + h**8/2240 - h**7/2100 - h**4/12 - h - 8. Let m(c) be the third derivative of u(c). Factor m(g).
3*g**2*(g - 2)*(g - 1)**2/5
Let d(a) = a + 7. Let g be -5 - 0*(2 - 1). Let h be d(g). Determine s, given that -3*s**3 - s**2 + 2*s**h + s - 1 + 2*s**3 = 0.
-1, 1
Suppose -m + 4 = -0*m. Let u be m - 1/((-1)/(-1)). Factor -p**4 + 3*p**3 + 7*p**4 + 0*p**u - 3*p**4.
3*p**3*(p + 1)
Let h(z) = -3*z**2 - 8*z - 2. Suppose -q - 6 = -4. Let k(w) = -w - 1. Let c(o) = q*k(o) + h(o). Factor c(u).
-3*u*(u + 2)
Suppose -18/7*r**2 + 50/7 + 30/7*r + 2/7*r**3 = 0. Calculate r.
-1, 5
Let r(z) be the second derivative of 6*z - 1/7*z**3 - 2/7*z**2 - 1/42*z**4 + 0. Factor r(w).
-2*(w + 1)*(w + 2)/7
Let n = -233 - -235. Let w(b) be the first derivative of 0*b**n + 2/5*b**5 + 5/6*b**4 + 0*b - 3 + 4/9*b**3. Factor w(z).
2*z**2*(z + 1)*(3*z + 2)/3
Let j(b) = b**3 + 4*b**2 + 2*b - 1. Let s be j(-2). Suppose 0 = 5*x + i - 9, 10 = 4*x + s*i - 5*i. Factor -153*v + 3*v**x - 6*v**3 + 153*v.
-3*v**2*(2*v - 1)
Let l(v) be the third derivative of -5*v**2 + 0 + v + 1/30*v**4 + 1/90*v**5 + 1/45*v**3. Factor l(r).
2*(r + 1)*(5*r + 1)/15
Let w(b) = -2*b + 54. Let x be w(27). Let n(m) be the second derivative of 1/10*m**5 + 0*m**4 + 0*m**2 - m + 0 + x*m**3. Find f such that n(f) = 0.
0
Let n(k) be the first derivative of 2*k**4/5 + 68*k**3/15 + 14*k**2/5 - 32*k/5 + 70. Determine v, given that n(v) = 0.
-8, -1, 1/2
Let n(x) be the second derivative of -x**8/448 + 3*x**7/280 - 3*x**6/160 + x**5/80 - 17*x**2/2 + 23*x. Let c(s) be the first derivative of n(s). Factor c(w).
-3*w**2*(w - 1)**3/4
Let i(n) be the third derivative of 2*n**7/315 + n**6/10 + 2*n**5/5 - 16*n**4/9 - 64*n**3/3 - 147*n**2. Factor i(y).
4*(y - 2)*(y + 3)*(y + 4)**2/3
Suppose -5*i = -25, q + 0*i = -i + 7. Let 219*z**3 + 3*z**q - 7*z**2 - 220*z**3 - 4*z - z**2 = 0. Calculate z.
-4, -1, 0
Let a(f) be the first derivative of 28*f**5/5 - 2*f**4 - 28*f**3/3 + 4*f**2 + 113. Factor a(b).
4*b*(b - 1)*(b + 1)*(7*b - 2)
Let c(g) be the first derivative of 0*g**2 + 1/2*g**4 - 1 - 1/3*g**6 + 2/3*g**3 - 2/5*g**5 + 0*g. Find d, given that c(d) = 0.
-1, 0, 1
Let k = 52 + -45. Find n, given that k*n**2 - n - 15*n - 3*n**2 = 0.
0, 4
Let l be (7/(-728)*-8)/15. Let q(m) be the third derivative of 1/65*m**6 - l*m**7 - 1/78*m**4 + 5*m**2 + 0*m + 0*m**3 + 0 - 1/130*m**5. What is p in q(p) = 0?
-2/7, 0, 1
Let l(g) be the second derivative of 2*g**6/15 - 3*g**5 + 14*g**4/3 - 535*g. Determine s, given that l(s) = 0.
0, 1, 14
Let f(b) = 71*b + 37. Let n be f(-3). Let q be (-100)/n + ((-18)/22 - -1). What is w in 3/2*w**2 + 3/2*w**3 - q*w - 3/4 - 3/4*w**4 - 3/4*w**5 = 0?
-1, 1
Let i(u) = -2*u**3 + 29*u**2 + 43*u + 3. Let o(x) = -3*x**3 + 31*x**2 + 42*x + 2. Let m(t) = -2*i(t) + 3*o(t). Determine k so that m(k) = 0.
-1, 0, 8
Suppose 0 = 4*l - 9*l, 0 = -4*b - 2*l + 16. Let a be (-4)/22 - (b - 250/44). Factor a + r - 1/2*r**2.
-(r - 3)*(r + 1)/2
Factor -2 + 73*l**3 + 5*l**2 + 14 - 14*l**2 - 70*l**3.
3*(l - 2)**2*(l + 1)
Let u be (3 + -2)*(2 + 0). Factor -2470*x**u + 1 + 3 + 5*x + 2471*x**2.
(x + 1)*(x + 4)
Let p be 1/(2 + (-12)/8). Suppose p*v = 4*o + 32, -14 = -4*v + o + 22. Suppose -v*n**5 + 8*n**5 + 10*n**3 + 16*n**4 + 5*n**5 - n**4 = 0. What is n?
-2, -1, 0
What is w in -2/9*w**5 + 0 + 2/3*w**3 + 4/9*w**4 + 0*w + 0*w**2 = 0?
-1, 0, 3
Suppose -4*t - 194 = y - 765, -427 = -3*t - y. Suppose 76*v**3 + t*v - 17*v**3 + 210*v**2 + 39*v**3 + 32 = 0. Calculate v.
-1, -4/7
Let n(l) be the first derivative of 5*l**4/8 - 5*l**3/2 - 45*l**2/4 + 135*l/2 + 51. Let n(y) = 0. Calculate y.
-3, 3
Let o be ((-15)/3 - (-5)/1)/2. Let t(v) = v**2 - 6*v - 5. Let h be t(7). Find i, given that 1/4*i**h + 1/2*i + o = 0.
-2, 0
Factor -2/11*c**4 - 52/11*c**3 - 282/11*c**2 - 392/11 + 728/11*c.
-2*(c - 1)**2*(c + 14)**2/11
Suppose 5*m + 371 + 284 = 0. Let h = -915/7 - m. Factor -8/7*t + 8/7 + h*t**2.
2*(t - 2)**2/7
Let l(u) be the third derivative of u**8/2184 - 2*u**7/1365 - u**6/260 + 301*u**2. Factor l(z).
2*z**3*(z - 3)*(z + 1)/13
Let t(d) be the second derivative of 0 + 3*d**2 - 3/10*d**5 + d**3 + 18*d - 3/8*d**4 - 1/20*d**6. Solve t(m) = 0.
-2, -1, 1
Let a(m) be the first derivative of -m**6/72 - m**5/12 - 5*m**4/24 + 2*m**3 - 10. Let y(j) be the third derivative of a(j). Factor y(u).
-5*(u + 1)**2
Let h = 246 - 241. Suppose -i - 3*n + h = 0, 4 + 0 = 4*n. Factor -16/7*r + 6/7*r**i - 6/7.
2*(r - 3)*(3*r + 1)/7
Let x be ((-6)/(-20))/(33/550*10). Find m, given that -x*m**3 - m + 0 + 3/2*m**2 = 0.
0, 1, 2
Let d(v) be the first derivative of 2*v**5/35 - 9*v**4/7 + 72*v**3/7 - 216*v**2/7 - 20. Find z, given that d(z) = 0.
0, 6
Factor 3*p**2 + p**2 + 10*p - 75*p**3 - 95*p**4 - 35*p**5 - 9*p**2.
-5*p*(p + 1)**3*(7*p - 2)
Let h(k) be the first derivative of -5/19*k**2 + 2/19*k**3 - 4/19*k - 21. Let h(z) = 0. What is z?
-1/3, 2
Let n(r) be the second derivative of -r**8/5880 + r**6/420 + r**5/210 - r**3/2 - r. Let d(q) be the second derivative of n(q). Factor d(h).
-2*h*(h - 2)*(h + 1)**2/7
Factor -11674*s - 4109*s - 6859 - 5244*s**2 - 976*s**3 + 4592*s - 64*s**4.
-(s + 1)*(4*s + 19)**3
Suppose 4*j - 22 = -2*f, 0*f + 5 = -f + 2*j. Suppose -f*t = -2*b - 2*b + 16, -5*t - b = -4. Determine a, given that -a**2 + 0*a + 1/2*a**3 + t = 0.
0, 2
Determine j, given that -3/7*j**2 - 3/7*j**5 + 0*j + 3/7*j**4 + 3/7*j**3 + 0 = 0.
-1, 0, 1
Let v(q) be the first derivative of -q**5/20 - 13*q**4/8 - 253*q**3/12 - 273*q**2/2 - 441*q - 234. Factor v(f).
-(f + 6)**2*(f + 7)**2/4
Factor 3*f**4 - 107*f - 4*f**4 + 12 - 117*f**2 + 28*f**2 - 25*f**3 - 54.
-(f + 1)**2*(f + 2)*(f + 21)
Let d(s) be the third derivative of s**7/70 - 3*s**6/40 - s**5/5 + 3*s**4/2 + 2*s**2 + 21*s. Determine t, given that d(t) = 0.
-2, 0, 2, 3
Let z be ((-5)/4*22/55)/((-7)/12). Let p = 7 - 3. Suppose 0 + 2/7*b**2 + 2/7*b**5 + 0*b + 6/7*b**p + z*b**3 = 0. Calculate b.
-1, 0
Let u = -52 - -52. Suppose u = -x + 3*x + 3*s + 3, -5*x + s = -18. Factor -11/3*r**4 + 2/3*r**5 + 11/3*r - 2/3 + 23/3*r**x - 23/3*r**2.
(r - 2)*(r - 1)**3*(2*r - 1)/3
Let z(m) = -3*m**2 - 6*m + 3. Suppose -8 = -4*u - 4, 5 = -2*p + 3*u. Let d(x) = -1. Let n(k) = p*z(k) - 6*d(k). Factor n(f).
3*(f + 1)**2
Factor 2/7*l**3 + 852/7*l**2 + 120984/7*l + 5726576/7.
2*(l + 142)**3/7
Factor 0 + 2/9*b**2 - 22*b.
2*b*(b - 99)/9
Suppose 4*a = -0*a + 56. Suppose 19*r**2 - 5*r - a*r**2 - 5*r + 5 = 0. Calculate r.
1
Let q(h) be the second derivative of 0*h**2 + 0*h**3 + 0 - 3/10*h**5 + 0*h**4 - 1/10*h**6 - 22*h + 1/14*h**7. Factor q(c).
3*c**3*(c - 2)*(c + 1)
Let v(c) be the third derivative of -3*c**7/140 + c**6/96 + c**5/12 - 5*c**4/96 - c**3/12 + 2*c**2 - 26*c. Find b such that v(b) = 0.
-1, -2/9, 1/2, 1
Let y(f) be the third derivative of -f**8/896 + 9*f**7/280 - 109*f**6/320 + 63*f**5/40 - 49*f**4/16 - 8*f**2. Solve y(m) = 0 for m.
0, 2, 7
Let x be 0 + 0 + (4 - (-32)/(-8)). Factor -1/5*y**3 + x - 1/5*y**2 + 0*y.
-