 - 9*n**2/11 - 10*n/11 + 154. Find l such that x(l) = 0.
-1, 1, 5
Let w(p) = p**3 - 5*p**2 - 23*p + 29. Let r(x) = -12*x**3 + 66*x**2 + 297*x - 378. Let f(o) = 2*r(o) + 27*w(o). Let f(n) = 0. Calculate n.
-3, 1, 3
Let r(i) = -2*i**2 - i + 1. Let o(k) = 33*k**2 + 51*k - 15. Let y(c) = o(c) + 3*r(c). Factor y(u).
3*(u + 2)*(9*u - 2)
Factor -10/17*h**4 + 0 - 16/17*h + 12/17*h**3 + 8/17*h**2 + 2/17*h**5.
2*h*(h - 2)**3*(h + 1)/17
Let g = -725 + 2901/4. Let z(d) be the third derivative of 0 - 2/3*d**3 - 1/20*d**6 + g*d**4 + 1/105*d**7 + 1/30*d**5 + 0*d - 6*d**2. Solve z(y) = 0 for y.
-1, 1, 2
Let z(f) be the first derivative of -f**6/2 - 21*f**5/5 - 27*f**4/2 - 20*f**3 - 12*f**2 + 109. Factor z(o).
-3*o*(o + 1)*(o + 2)**3
Let t(u) = -5*u**4 - 67*u**3 - 362*u**2 + 434*u + 2. Let j(o) = -6*o**4 - 66*o**3 - 363*o**2 + 435*o + 3. Let h(y) = -2*j(y) + 3*t(y). Factor h(b).
-3*b*(b - 1)*(b + 12)**2
Suppose -4*u - 29 + 77 = 0. Let h be u/(-28) + 174/14. Factor -8*n**2 + 12*n + n + h + 7*n.
-4*(n - 3)*(2*n + 1)
Let 4/3*l**2 + 1/3*l - 4/3 - 1/3*l**3 = 0. What is l?
-1, 1, 4
Factor 0 - 58/5*p**4 + 0*p + 448/5*p**3 + 2/5*p**5 - 392/5*p**2.
2*p**2*(p - 14)**2*(p - 1)/5
Solve 3/5*s**2 - 33/5*s + 0 = 0.
0, 11
Factor -26/9*x**3 + 5*x**2 - 28/9*x + 4/9 + 5/9*x**4.
(x - 2)**2*(x - 1)*(5*x - 1)/9
Let b(t) be the third derivative of t**8/1680 - t**6/100 + 2*t**5/75 - t**4/40 - 63*t**2. Factor b(a).
a*(a - 1)**3*(a + 3)/5
Suppose -744*c - 58 = -773*c. Solve 0 - 10/3*p**c + 2/3*p**3 + 8/3*p = 0.
0, 1, 4
Let o(w) be the second derivative of 1/45*w**6 + 1/15*w**5 + 0*w**2 + 0 + 0*w**3 - 9*w + 0*w**4. Factor o(n).
2*n**3*(n + 2)/3
Let g(v) be the third derivative of 0*v**3 - 1/80*v**4 - 1/1200*v**6 - 15*v**2 + 0 + v + 1/150*v**5. Factor g(x).
-x*(x - 3)*(x - 1)/10
Let z be (2080/3250)/(-2 - 42/(-20)). Factor -4/5 + 18/5*m + 28/5*m**3 + 2/5*m**5 - z*m**2 - 12/5*m**4.
2*(m - 2)*(m - 1)**4/5
Let r(t) = -t**2 - 6*t + 2. Let w be r(0). Let z(m) be the first derivative of m**w - 1/6*m**4 + 4/3*m - 2 + 0*m**3. Factor z(l).
-2*(l - 2)*(l + 1)**2/3
Factor 2/9*l**3 - 2/3*l**2 - 2/9 + 2/3*l.
2*(l - 1)**3/9
Let c(i) be the third derivative of 0*i - 7/300*i**6 + 40*i**2 + 0 + 1/30*i**5 + 4/5*i**3 + 11/15*i**4. Factor c(x).
-2*(x - 3)*(x + 2)*(7*x + 2)/5
Suppose -4654*o + 4750*o - 8*o**3 - 36*o**3 + 520*o**2 = 0. What is o?
-2/11, 0, 12
Let k be 2 + -5 - 32/(-8). Let w be 1 + k*4/14 + -1. Factor 2/7*u**3 - w*u + 2/7 - 2/7*u**2.
2*(u - 1)**2*(u + 1)/7
Let p(d) be the third derivative of 1/735*d**7 + 0 - 4/21*d**3 + 1/21*d**4 - 1/105*d**6 + 1/70*d**5 + 3*d**2 + 0*d. Factor p(l).
2*(l - 2)**2*(l - 1)*(l + 1)/7
Let c be (-8)/(-12) + 39/9. Let s be (-112)/(-70) - (-2)/c. Find y such that -s*y**3 + 2*y**2 - 3*y**3 + 7*y**3 = 0.
-1, 0
Suppose -2/19*r**3 - 1248/19*r + 102/19*r**2 - 1352/19 = 0. What is r?
-1, 26
Let h(l) be the second derivative of -l**5/220 - l**4/22 - 4*l**3/33 - 199*l. Determine y so that h(y) = 0.
-4, -2, 0
Let i(t) be the first derivative of t**5/60 + 5*t**4/24 + t**3 - 2*t**2 + 18. Let l(k) be the second derivative of i(k). Determine w, given that l(w) = 0.
-3, -2
Suppose 2 = -7*d + 37. Factor 6*w**5 - 9*w**5 + 20*w**4 - 2*w**d - 20*w**3.
-5*w**3*(w - 2)**2
Let l(m) be the second derivative of -55*m**4/12 - 15*m**3/2 + 5*m**2 + m + 34. Find g such that l(g) = 0.
-1, 2/11
Let o(p) = 57*p**2 + 6486*p + 498072. Let l(u) = 16*u**2 + 1853*u + 142306. Let r(z) = -18*l(z) + 5*o(z). Find a such that r(a) = 0.
-154
Let t = 3 - 1. Factor 8*b + 1 + 0 - t - 2*b**2 - 7.
-2*(b - 2)**2
Suppose -6 = -27*c + 24*c - 3*j, 5*c = 4*j + 10. Factor -4/3*g - 2/3 - 2/3*g**c.
-2*(g + 1)**2/3
Let b = 73 - 363/5. Let p = b - 3/20. Factor 5/4*o + 1/2 + o**2 + p*o**3.
(o + 1)**2*(o + 2)/4
Let d(g) be the second derivative of 0*g**2 - 15*g - 1/12*g**3 + 1/72*g**4 + 0. Let d(x) = 0. Calculate x.
0, 3
Factor 44/9*p**3 + 0 + 16/9*p**4 + 2/9*p**5 + 2*p + 16/3*p**2.
2*p*(p + 1)**2*(p + 3)**2/9
Let n(p) be the first derivative of p**6/3 - p**5/2 + p**4/8 - 68. Factor n(r).
r**3*(r - 1)*(4*r - 1)/2
Let q = -13161 + 13164. Factor -12/5*x**2 + 0*x - 2/5*x**q + 64/5.
-2*(x - 2)*(x + 4)**2/5
Let f(y) = y**3 - 9*y**2. Let k(q) = -4*q**3 + 57*q**2 - 228*q + 204. Let v(n) = -2*f(n) + k(n). Factor v(x).
-3*(x - 2)**2*(2*x - 17)
Factor -1/2*s**2 + 25 + 5/2*s.
-(s - 10)*(s + 5)/2
Solve -7684/9*w**2 - 8188/9*w**3 - 254/9*w**4 - 2/9*w**5 + 910*w + 882 = 0 for w.
-63, -1, 1
Let i = 1/8969 + 8966/26907. Factor -4/3*v + 0 - i*v**2.
-v*(v + 4)/3
Let t(q) = -14*q + 241. Let n be t(17). Let y(x) be the third derivative of 2/75*x**5 + 0 + 1/150*x**6 + 0*x**n + 0*x + 0*x**4 + 7*x**2. Factor y(z).
4*z**2*(z + 2)/5
Let g = 1927/18 - 107. Let d(o) be the first derivative of 7 - 2/45*o**5 + 2/27*o**3 + 1/9*o**2 - g*o**4 + 0*o. Solve d(v) = 0 for v.
-1, 0, 1
Find k, given that -6 + 4*k + 1 + 9 - k**3 - k**2 + 0 = 0.
-2, -1, 2
Let i(f) be the third derivative of 3*f**6/200 - 17*f**5/50 + 57*f**4/40 + 27*f**3/5 + f**2 + 3*f. Let i(j) = 0. Calculate j.
-2/3, 3, 9
Let k = -14 - -12. Let l be 18 + (k - 1)*-1. Factor 21*f**2 + f**3 - l*f**2 + 3*f**4 - 4*f**4.
-f**3*(f - 1)
Let f(s) be the first derivative of -5*s**3/12 + 15*s**2/4 + 50*s - 437. Factor f(l).
-5*(l - 10)*(l + 4)/4
Let h(b) be the third derivative of b**7/4620 + 7*b**3/6 - 7*b**2. Let q(g) be the first derivative of h(g). Factor q(i).
2*i**3/11
Suppose -27*j + 33 = -21. Let s(q) be the second derivative of 0 + 1/5*q**3 + 0*q**j + 1/20*q**4 - 3/100*q**5 - 2*q. Factor s(u).
-3*u*(u - 2)*(u + 1)/5
Suppose 2*d + 7 = 2*i - 1, 3*i - 6 = 0. Let y be (-2)/(1*(2 - -12)/d). Factor -8/7*m + y*m**2 + 6/7.
2*(m - 3)*(m - 1)/7
Let o(i) = 8*i + 116. Let v be o(-21). Let a = v - -264/5. Let -a - 2/5*f**2 - 6/5*f = 0. Calculate f.
-2, -1
Let z(u) be the first derivative of 3 - 2/5*u**3 + 1/10*u**4 + 3/5*u**2 - 2/5*u. Factor z(b).
2*(b - 1)**3/5
Let c(u) = u**3 - 4*u**2 + 53*u - 210. Let f be c(4). What is x in 3/2 - 1/2*x**f + x = 0?
-1, 3
Find d, given that -200/9 + 12*d - 4/9*d**2 = 0.
2, 25
Let m(a) be the first derivative of -10 + 1/6*a**4 - 2*a + 0*a**2 + 0*a**3 + 1/10*a**5. Let i(y) be the first derivative of m(y). Factor i(d).
2*d**2*(d + 1)
Let r be (-3)/(-2)*28/(-21). Let j = 10 + r. Solve -11*q**5 + q + 2*q - q**2 - 5*q**2 + j*q**5 + 6*q**4 = 0 for q.
-1, 0, 1
Suppose -i - 35 = o + 37, 0 = -i - 2*o - 71. Let f = 73 + i. Factor 0 - 1/4*n**5 - 1/4*n**3 + 0*n + f*n**2 + 1/2*n**4.
-n**3*(n - 1)**2/4
Let s = -20 - -24. Solve -s - 4*i**2 - 5*i + 11*i - 4 + 6*i = 0 for i.
1, 2
Let z be (-51)/(-34)*96/18. Factor -z + 10*f**3 + 20*f - 5/2*f**4 + 1/4*f**5 - 20*f**2.
(f - 2)**5/4
Let a = 9/224 + 421/672. Let k(g) be the second derivative of 0*g**2 + 0 + 1/21*g**7 - a*g**4 + 0*g**3 + 0*g**5 + 1/5*g**6 - 7*g. Factor k(c).
2*c**2*(c - 1)*(c + 2)**2
Find g, given that -9/2*g**3 + 0 + 3/2*g**4 + 0*g + 3*g**2 = 0.
0, 1, 2
Let x(z) be the first derivative of -1/2*z**4 + 0*z + 0*z**2 + 4/9*z**3 + 2/15*z**5 + 1. Factor x(w).
2*w**2*(w - 2)*(w - 1)/3
Let c(d) be the first derivative of d**5/5 - 7*d**4/4 + 11*d**3/3 - 5*d**2/2 + 391. Determine o, given that c(o) = 0.
0, 1, 5
Suppose -6*j = 1 - 19. Suppose 2*w + 3*c = 8 - 2, -j*w = -3*c - 9. What is f in -w - f**4 + 8*f + 5*f**4 - 8*f**3 - 1 = 0?
-1, 1
Determine h, given that 2/23*h**2 + 20/23*h - 48/23 = 0.
-12, 2
Let v = 1075 - 1072. Suppose -2/3*p**v + 4/3*p**2 + 14/3*p + 8/3 = 0. Calculate p.
-1, 4
Let l(o) = -o**3 + 14*o**2 + 16*o - 12. Let x be l(15). Suppose x*k + 5*f = -9, -f = -5*k + 3*f + 22. Factor 24*j + 8*j**2 - 12*j - 20*j**k + 3*j**3.
3*j*(j - 2)**2
Let k(i) be the first derivative of -i**5/12 - 5*i**4/16 - 5*i**3/12 + 2*i**2 + 24. Let h(u) be the second derivative of k(u). Suppose h(v) = 0. What is v?
-1, -1/2
Let b(v) be the second derivative of 0*v**4 + 3/4*v**5 - 18*v + 0*v**3 + 0 - 1/6*v**6 + 0*v**2. Let b(k) = 0. Calculate k.
0, 3
Let y(l) = -l**3 - 17*l**2 - 16*l + 12. Let b be y(-16). Solve 5*i**2 + 15*i**4 - 5*i + 5*i**3 - b*i**4 - 8*i**4 = 0 for i.
-1, 0, 1
Let o(u) be the first derivative of -25*u**4/8 + 245*u**3/6 - 176*u**2 + 242*u - 210. Determine k so that o(k) = 0.
1, 22/5
Let f(w) = -w**2 + 5*w - 18. Let y be f(8). Let t be (-8)/y - 8/(-12)*1. Factor 0*p**2 - 2/7*p**3 + t*p + 4/7.
-2*(p - 2)*(p + 1)**2/7
Let c(t) be th