 6*i**2 + 0*i - 1/150*i**6 + 1/1050*i**7. Factor f(s).
s*(s - 2)*(s - 1)**2/5
Let q(i) be the third derivative of i**7/350 - 3*i**6/200 - i**5/25 - 179*i**2. Let q(c) = 0. Calculate c.
-1, 0, 4
Let j be (28/(-98))/((-2)/14)*6. Let p be ((-14)/40)/1 + 9/j. Factor 4*b - p*b**2 - 10.
-2*(b - 5)**2/5
What is n in 0 - 28/3*n**3 + 0*n - 2/3*n**4 + 10*n**2 = 0?
-15, 0, 1
Let s(r) = 2*r**3 - 2*r**2 - 8*r. Let h = -310 + 311. Suppose 3*f - q = 7*f + 13, 5*q = 5*f + 35. Let b(m) = -m. Let p(t) = f*b(t) + h*s(t). Factor p(w).
2*w*(w - 2)*(w + 1)
Let u(i) = i**3 - 20*i**2 - 19*i - 41. Let d be u(21). Let g(j) = -9*j**4 + 9*j**2 + 3. Let c(b) = b**5 + b**2 - 1. Let z(n) = d*g(n) + 3*c(n). Factor z(y).
3*y**2*(y - 2)**2*(y + 1)
Suppose -12*z + z = -165. Determine d so that z + 36*d - 4*d + 6*d**2 - 12*d - d**2 = 0.
-3, -1
Let p(w) = -w + 25. Let y be p(21). Factor -f**2 + y*f + 2*f - 10*f - f**2.
-2*f*(f + 2)
Let w(g) = g**2 - 15*g. Let x be w(15). Let t be x + 3/63*6. What is u in -t*u**2 + 0*u + 0 + 6/7*u**3 - 6/7*u**4 + 2/7*u**5 = 0?
0, 1
Determine o, given that -40/3 - 8/3*o - 2/15*o**2 = 0.
-10
Let x be -5 + 3 + 245/49. Suppose 0*d**2 + 1/3*d**4 - 2/3*d - 1/3 + 2/3*d**x = 0. Calculate d.
-1, 1
Suppose 3*h - 1 = 4*w + 1, -4*w - h - 10 = 0. Let a be (1/2)/(4 - (w + 5)). What is s in -1/2*s**2 + 0 - a*s = 0?
-1, 0
What is r in 24*r + 2998*r**2 + 2*r**4 - 3010*r**2 + r**4 - 6*r**3 = 0?
-2, 0, 2
Let v(r) be the second derivative of r**7/126 + 11*r**6/90 + 11*r**5/20 + 5*r**4/36 - 25*r**3/9 + 14*r + 13. Factor v(c).
c*(c - 1)*(c + 2)*(c + 5)**2/3
Let x be (-3)/(18/(-4))*6. Suppose -5*a - 4*k = -3*k - 13, 2*a + x*k = -2. What is p in 1/2*p**4 + 0*p**2 + 0*p + 1/2*p**a + 0 = 0?
-1, 0
Let c = 1515 + -1515. Let -3/4*z + c + 9/8*z**2 - 3/8*z**3 = 0. What is z?
0, 1, 2
Let d(o) be the third derivative of -7*o**5/4 - 17*o**4/2 + 2*o**3 - 152*o**2. Factor d(t).
-3*(t + 2)*(35*t - 2)
Determine p so that 5*p**2 - 1390*p - 103267 - 10*p**2 + 6662 = 0.
-139
Let r(k) be the third derivative of -k**8/1008 + 3*k**6/8 + 3*k**5/2 - 135*k**4/2 - 972*k**3 - 66*k**2 - 1. Factor r(l).
-(l - 9)**2*(l + 6)**3/3
Let t(v) be the third derivative of 0*v + 0*v**5 - 1/60*v**4 + 0 + 1/300*v**6 - 3*v**2 + 0*v**3. Factor t(p).
2*p*(p - 1)*(p + 1)/5
Let d(a) = -a**4 - a**3 - a**2 + a + 1. Let z(m) = -4*m**4 + 101*m**3 + 166*m**2 + 49*m - 6. Let t(i) = -6*d(i) - z(i). Let t(n) = 0. What is n?
-1, -1/2, 0, 11
Let f(q) be the first derivative of q**6/39 - 8*q**5/65 + 2*q**4/13 + 4*q**3/39 - 5*q**2/13 + 4*q/13 - 472. Find k, given that f(k) = 0.
-1, 1, 2
Let m(z) be the third derivative of -1/16*z**4 + 0*z - 20*z**2 - 1/120*z**5 - 1/6*z**3 + 0. Suppose m(y) = 0. Calculate y.
-2, -1
Let b be ((-3)/(-2))/((-19)/(-38)). Suppose b = 5*j - 4*j. Find h such that j*h**3 - 4*h + 11*h**3 - 2*h**3 - 8*h**3 = 0.
-1, 0, 1
Let k be (-307)/(-15) + 5/15. Let a = k + -688/35. What is i in -4/7 - 2*i**5 + 32/7*i**4 - 4*i**2 + 22/7*i - a*i**3 = 0?
-1, 2/7, 1
Let y(m) = 12*m - 12. Let l be 13/(-4) - (-4)/16. Let v(z) = -z**2 - 11*z + 12. Let o(f) = l*y(f) - 2*v(f). Find c, given that o(c) = 0.
1, 6
Factor -18/17*d + 78/17*d**2 + 10/17*d**4 + 58/17*d**3 + 0.
2*d*(d + 3)**2*(5*d - 1)/17
Determine g, given that -624/7*g + 48/7*g**3 + 2/7*g**4 + 236/7*g**2 + 338/7 = 0.
-13, 1
Find u, given that -66790*u**4 + 4 + 2*u - 14*u**3 - 13*u**2 + u**2 + 66786*u**4 = 0.
-2, -1, 1/2
Let k(f) = 6*f**4 + 42*f**3 - 317*f**2 + 307*f + 76. Let a(g) = -2*g**4 - 14*g**3 + 106*g**2 - 102*g - 24. Let p(h) = -19*a(h) - 6*k(h). Factor p(n).
2*n*(n - 4)*(n - 1)*(n + 12)
Let d = 1/126 + 3/14. Factor 2/9*c**2 - d*c + 2/9*c**3 - 2/9.
2*(c - 1)*(c + 1)**2/9
Let m(k) = -k**2 + 31*k + 180. Let v be m(-5). Determine o, given that 0*o + 2/3*o**3 + v + 1/3*o**2 + 1/3*o**4 = 0.
-1, 0
Suppose 5*h + 5 - 12 = -2*m, m = 4*h - 16. Determine u so that -5*u**3 + 4*u**3 + 2*u + 2*u**h + u**2 + 2*u**2 = 0.
-2, -1, 0
Let v be 7/(-18)*((-80)/14)/10. Let b(d) be the second derivative of 4*d + 0 - v*d**2 - 1/90*d**5 - 5/27*d**3 - 2/27*d**4. Factor b(u).
-2*(u + 1)**2*(u + 2)/9
Let g(d) be the second derivative of -d**5/15 + 5*d**4/9 - 16*d**3/9 + 8*d**2/3 + 65*d. Solve g(k) = 0 for k.
1, 2
Suppose 5*x - m - 3*m = 57, -4*x = 4*m - 24. Factor -1 + x*b**2 + 6*b**4 - 6*b + 2*b**5 - 13*b**2 + 4*b**3 - 1 + 0*b**4.
2*(b - 1)*(b + 1)**4
Let w(r) be the first derivative of -1/2*r**4 + 0*r**3 + 0*r + 0*r**2 - 12 - 2/5*r**5. Factor w(d).
-2*d**3*(d + 1)
Factor -5*b - 68*b**2 + b**3 + b + 4 + 67*b**2.
(b - 2)*(b - 1)*(b + 2)
Let z(i) be the third derivative of i**7/2100 - i**6/300 - i**5/75 + 4*i**3/3 + 7*i**2. Let f(m) be the first derivative of z(m). Factor f(d).
2*d*(d - 4)*(d + 1)/5
Factor 1/10*d**2 + 49/10 + 7/5*d.
(d + 7)**2/10
Let v(c) be the third derivative of c**7/70 + 27*c**6/40 - 93*c**5/10 + 97*c**4/2 - 132*c**3 - 663*c**2. Determine l so that v(l) = 0.
-33, 2
Let f(x) = -x**4 - 2*x**3 - x**2 - 1. Let w(o) = -10*o**4 - 24*o**3 - 8*o**2 + 14*o + 3. Let i(y) = 15*f(y) - 3*w(y). Find q, given that i(q) = 0.
-2, -1, -4/5, 1
Let a(m) be the first derivative of -5*m**4/4 - 45*m**3 + 285*m**2/2 - 145*m + 197. Suppose a(z) = 0. What is z?
-29, 1
Let 4 + 3*x**2 + x**3 - 1/3*x**4 - 23/3*x = 0. Calculate x.
-3, 1, 4
Let j(u) be the second derivative of -1/90*u**5 + 11/2*u**2 + 1/9*u**3 + 14*u + 0 + 0*u**4. Let t(p) be the first derivative of j(p). Factor t(f).
-2*(f - 1)*(f + 1)/3
What is r in 162/5*r + 0 - 36/5*r**2 - 2/5*r**5 + 36/5*r**4 - 32*r**3 = 0?
-1, 0, 1, 9
Let b = -66 - -69. Factor 12*c**2 - 397*c - 4*c**b + 397*c.
-4*c**2*(c - 3)
Let k(l) be the first derivative of -l**6/120 - l**5/12 - l**4/3 - 2*l**3/3 + 31*l**2/2 + 33. Let q(h) be the second derivative of k(h). Factor q(w).
-(w + 1)*(w + 2)**2
Suppose -p - 5 = -2*s, 0 = -2*s - 2*p + 5*p + 11. Suppose -s = -4*y + 19. Solve -15*r**y - r**4 - 8*r**4 + 3*r**4 = 0.
-2/5, 0
Let h = -24461 + 24463. Factor 24/7*k**h + 8/7*k + 2/21.
2*(6*k + 1)**2/21
Let p(z) be the first derivative of -1/5*z**3 + 3*z + 6/5*z**2 + 16. Solve p(k) = 0 for k.
-1, 5
Find q, given that -68 - 102274*q - 4 + 4*q**2 + 102302*q = 0.
-9, 2
Suppose 12*u - 14*u - 16 = -t, 3*u = t - 24. Let p be u/(-2)*4/12. What is f in -p - 4/3*f + 74/3*f**3 + 35/3*f**4 + 13*f**2 = 0?
-1, -2/5, 2/7
Let m(y) be the first derivative of -y**8/448 - y**7/280 + y**6/80 - 7*y**2/2 - 8. Let g(u) be the second derivative of m(u). Factor g(s).
-3*s**3*(s - 1)*(s + 2)/4
Let s(x) be the first derivative of -5*x**3/6 + 105*x**2/4 - 50*x - 69. Factor s(p).
-5*(p - 20)*(p - 1)/2
Let s(o) be the second derivative of o**5/35 + 2*o**4/21 - 2*o**3/3 + 8*o**2/7 + 5*o + 15. Find l, given that s(l) = 0.
-4, 1
Let x(d) be the first derivative of 9 - 1/21*d**3 + 3/28*d**4 - 3/35*d**5 + 0*d**2 + 0*d + 1/42*d**6. Factor x(z).
z**2*(z - 1)**3/7
Let p(a) = -2*a**3 + 3*a**2 + a**2 - 3*a**2 + 3*a**3. Let l(h) = 6*h**3 + 4*h**2 - 8*h + 12. Let z(o) = -3*l(o) + 15*p(o). Factor z(r).
-3*(r - 2)**2*(r + 3)
What is i in 3/2*i**3 + 0 + 0*i - i**2 - 1/2*i**4 = 0?
0, 1, 2
Let g be ((-8)/(-2) + 36)/(-3 - -2). Let h = g - -40. Factor h + 2/7*d**2 + 2/7*d**3 - 4/7*d.
2*d*(d - 1)*(d + 2)/7
Let o(w) = 7*w**2 + 227*w + 226. Let u(k) = -4*k**2 - 228*k - 228. Let s(d) = 2*o(d) + 3*u(d). Solve s(g) = 0 for g.
-1, 116
Let l(r) be the second derivative of -2*r**7/21 - 8*r**6/15 + r**5 + 43*r. Factor l(x).
-4*x**3*(x - 1)*(x + 5)
Let y(i) = i**4 + i**3 - i - 1. Suppose -4*t + 12 = -2*t. Let x(l) = 5*l - 4*l + 5*l**4 + 0*l - t + 3*l**3 - 3*l. Let u(d) = -x(d) + 6*y(d). Factor u(h).
h*(h - 1)*(h + 2)**2
Suppose i + 4*i - 7 = r, 3*r = -5*i + 19. Factor 79*u**3 - 4*u**2 + 78*u**r - 6*u**2 - 159*u**3.
-2*u**2*(u + 5)
Let q be (1 - 3)*(-6 - -2). Find f such that -q - 9*f + 20*f**2 + 3*f - 21*f**2 = 0.
-4, -2
Let v(o) be the first derivative of 3*o**4/4 + 7*o**3 + 9*o**2 - 202. Factor v(t).
3*t*(t + 1)*(t + 6)
Suppose -5*a = -5*f + 55, 0 = -4*f + 9*f - a - 51. Let j be ((-5)/((-75)/f))/((-1)/(-3)). Factor 2/5*w**3 - 4/5 - 8/5*w**j + 2*w.
2*(w - 2)*(w - 1)**2/5
Let h(p) = -2*p**2 + 48*p + 436. Let i be h(31). Solve 2/7*l**3 + 0 - 4/7*l**i + 2/7*l = 0 for l.
0, 1
Let r be ((-36)/(-24))/(9/24) + -1. Let n(y) be the first derivative of 2*y**4 - y**5 + 0*y + 4/3*y**r + 2 + 0*y**2. Factor n(b).
-b**2*(b - 2)*(5*b + 