 m**7/735 - 19*m**6/420 - 3*m**5/10 - 65*m**4/84 - 22*m**3/21 - 6*m**2 - 3*m - 7. Factor g(x).
2*(x - 22)*(x + 1)**3/7
Let o be (-1 + 2/3)/((-22)/990). Factor 80*s - 13*s + 128*s + o*s - 5*s**2 - 205.
-5*(s - 41)*(s - 1)
Let l(f) = -5*f**2 - 2*f - 1. Let a(t) = 9*t**2 + 24*t + 2. Let j(n) = a(n) + 2*l(n). Find g such that j(g) = 0.
0, 20
Let y be (-6 + 603 - -7)/((-4)/(-1)). Let q = -1056/7 + y. Factor 1/7*l + 0 + 0*l**4 + 0*l**2 - 2/7*l**3 + q*l**5.
l*(l - 1)**2*(l + 1)**2/7
Let i(q) = q**2 - 25*q + 164. Let j be i(13). Let 90*b - 35*b**3 - 5*b**2 - 34*b**2 - 36*b**2 + 15*b**4 + j*b**5 - 3*b**5 = 0. Calculate b.
-3, 0, 1, 2
Factor 86*l + 257/3 + 1/3*l**2.
(l + 1)*(l + 257)/3
Find r such that 68/7*r + 416/7 + 2/7*r**2 = 0.
-26, -8
Let w(d) be the first derivative of -5/9*d**3 + 50 - 125/3*d + 25/3*d**2. What is k in w(k) = 0?
5
Let b be -4*6/64 + (-775)/(-80)*40/180. What is r in -4 + 2/9*r**3 + 14/3*r - b*r**2 = 0?
2, 3
Let s(c) be the third derivative of 0 + 0*c**4 - c + 1/140*c**5 - 11*c**2 + 0*c**3 - 3/280*c**6. Suppose s(v) = 0. Calculate v.
0, 1/3
Let d be (42/(-4) + (-6 - -11))*12/(-33). Let f(z) be the first derivative of d + 5/8*z**4 + 5/18*z**3 - 5/4*z**2 - 5/6*z. Factor f(a).
5*(a - 1)*(a + 1)*(3*a + 1)/6
Let w(o) be the first derivative of -2*o**5/5 - 27*o**4 - 106*o**3/3 + 808. Let w(d) = 0. Calculate d.
-53, -1, 0
Let s(m) be the second derivative of -1/12*m**6 - 74*m + 5/24*m**4 + 1/168*m**7 - 1 + 3/10*m**5 - 25/24*m**3 + 0*m**2. Solve s(h) = 0 for h.
-1, 0, 1, 5
Suppose -5 = -15*r + 25. Factor 2*a - 1 + a**4 - 499*a**r + 499*a**2 - 2*a**3.
(a - 1)**3*(a + 1)
Let p(m) be the third derivative of 0*m + 1/3*m**4 - 1/90*m**5 + 28/9*m**3 + 0 + 5*m**2. Factor p(u).
-2*(u - 14)*(u + 2)/3
Let c(q) be the second derivative of -q**4/42 + 230*q**3/21 - 229*q**2/7 - q + 354. Factor c(w).
-2*(w - 229)*(w - 1)/7
Suppose 9*i - 3306 = 447. Let l = i - 417. Let 7/10*o**5 - 9/10*o**4 + 0 - 6/5*o**3 + l*o + 2/5*o**2 = 0. Calculate o.
-1, 0, 2/7, 2
Let p(d) be the first derivative of 6*d**5/7 - 17*d**4/7 - 2*d**3/21 + 16*d**2/7 + 8*d/7 - 1688. Let p(w) = 0. What is w?
-2/5, -1/3, 1, 2
Let n be (-6)/(-4)*(47940/1188)/(-17). Let v = n + 41/11. Factor -2/3 - v*t**2 + 5/6*t.
-(t - 4)*(t - 1)/6
Let s(z) = 3*z**3 - 5*z**2 - 12*z + 5. Let o(w) = -w**3 + 3*w**2 + 6*w - 2. Let k = -27 - -17. Let n(b) = k*o(b) - 4*s(b). Factor n(q).
-2*q*(q + 2)*(q + 3)
Suppose -40*m - m - 121*m - 194*m = 0. Let g(k) be the first derivative of 1/3*k**6 + 18 + 8/3*k**3 + m*k - 4*k**2 - 8/5*k**5 + 3/2*k**4. Factor g(q).
2*q*(q - 2)**2*(q - 1)*(q + 1)
Let t(c) be the second derivative of c**6/120 + 3*c**5/4 - 21*c**4/16 - 61*c**3/12 - 2632*c. Factor t(h).
h*(h - 2)*(h + 1)*(h + 61)/4
Let q(d) be the first derivative of -d**4 + 20*d**3/3 - 16*d**2 + 16*d - 204. Find p, given that q(p) = 0.
1, 2
Let y = 204864 + -1429174/7. Let o = y + -696. Factor -u**2 + o*u + 1/7*u**5 - 5/7*u**4 + 0 + 9/7*u**3.
u*(u - 2)*(u - 1)**3/7
Let f(s) be the second derivative of -s**6/60 + 7*s**5/5 + 19*s**4/8 - 1872*s. What is j in f(j) = 0?
-1, 0, 57
Let k(m) be the second derivative of -m**5/30 + m**4/18 + 5*m**3/9 + m**2 - m - 952. Factor k(u).
-2*(u - 3)*(u + 1)**2/3
Suppose 0 = 2*c - 0*c - 10. Suppose c*d = 12 + 28. Let 6*p - d*p**2 + 0*p + 3*p + 11*p**2 + 6 = 0. What is p?
-2, -1
Let k(o) = -o**3 + 9*o**2 - 7*o + 63. Let r be k(9). Suppose -4*j - 14 = 2*z, 5 = z + 3*j + 17. Factor 5/4*t**2 - 1/2*t + r + 1/4*t**4 - t**z.
t*(t - 2)*(t - 1)**2/4
Factor 2000/7 - 2/7*c**2 - 234/7*c.
-2*(c - 8)*(c + 125)/7
Suppose -3*i - 14 = w, -9*w + 12*w = -2*i - 14. Let s be w - 16*(-4)/24. Let s*z**2 - 2/3*z + 0 = 0. What is z?
0, 1
Let t(f) = -6*f**2 + 17*f + 6. Let d be t(3). Let x be (-18)/6 + 2 + d. Factor 2*z**x + 10/7*z - 4/7.
2*(z + 1)*(7*z - 2)/7
Let m be 2947/(-140)*(45/(-6) - -5). Let b = m - 417/8. Factor -b*v**5 - v**3 + 0*v + 0*v**2 - 3/2*v**4 + 0.
-v**3*(v + 1)*(v + 2)/2
Let m = 129077 + -903502/7. Solve -t**4 + 100/7*t + 24/7 - m*t**3 + 46/7*t**2 = 0.
-6, -1, -2/7, 2
Let i = 19/1452 + 3229/2904. Determine u so that 21/8*u**3 + i*u**5 + 33/4*u**4 + 0 + 0*u**2 + 0*u = 0.
-7, -1/3, 0
Let s(a) be the second derivative of 1/24*a**4 + 77*a - 5/12*a**3 + 0 + 1/10*a**5 + 0*a**2. Solve s(b) = 0 for b.
-5/4, 0, 1
Let m(f) be the first derivative of -f**3/15 - 11*f**2/10 - 2*f - 1298. What is n in m(n) = 0?
-10, -1
Let k be (-16)/(-2) + -6*(-1391)/(-1053). Let d(q) be the first derivative of 0*q + k*q**3 - 14 - 1/18*q**2 - 1/36*q**4. Determine x so that d(x) = 0.
0, 1
Suppose -87*l**4 + 3799*l**3 + 4*l**5 - 45*l**2 + 117*l**2 - 3533*l**3 = 0. What is l?
-1/4, 0, 4, 18
Let z be (15/(-20) - 0)*(-56)/24. Factor 1/4*k**3 + z*k + 5/4*k**2 + 3/4.
(k + 1)**2*(k + 3)/4
Let v(r) be the third derivative of -r**6/480 - 7*r**5/40 - 27*r**4/32 - 5*r**3/3 - r**2 - 640*r. Factor v(k).
-(k + 1)**2*(k + 40)/4
Let l(t) be the third derivative of t**4 + t**2 + 0 - 1/60*t**5 + 16*t - 24*t**3. Factor l(f).
-(f - 12)**2
Let r = -110417 - -110419. Factor -2 + 1/3*a**3 - 8/3*a**r + 13/3*a.
(a - 6)*(a - 1)**2/3
Let r(z) = -887*z + 19169 + 37992 + 10*z**2 + 15089 + 2597*z. Let j(y) = -15*y**2 - 2564*y - 108375. Let h(o) = -5*j(o) - 7*r(o). Let h(b) = 0. Calculate b.
-85
Suppose -h + 47 = -3*w, -h + 5*h = -2*w - 8. Find i, given that 3 - 1/2*i + 1/2*i**5 + 2*i**4 - h*i**2 + 0*i**3 = 0.
-3, -2, -1, 1
Let 14/3*k**2 - 1/3*k**3 + 0 - 13/3*k = 0. Calculate k.
0, 1, 13
Let a = 217081/20 - 10854. Let u(c) be the third derivative of 10*c**2 + 0*c + 1/4*c**4 + 0 + 0*c**3 + a*c**5. Determine y, given that u(y) = 0.
-2, 0
Let h(b) be the second derivative of 729*b**7/14 + 89424*b**6/5 + 32728779*b**5/20 - 3663067*b**4/2 + 815982*b**3 - 181548*b**2 + 865*b. Factor h(k).
3*(k + 123)**2*(9*k - 2)**3
Let t(k) = 6*k**5 + 13*k**4 + 7*k**3 - 5*k**2. Let m(p) = 7*p**5 + 13*p**4 + 4*p**3 - 6*p**2. Let f(g) = -5*m(g) + 6*t(g). Factor f(w).
w**3*(w + 2)*(w + 11)
Let x(p) be the first derivative of -p**4/4 + 516*p**3 - 399384*p**2 + 137388096*p - 2892. Find o such that x(o) = 0.
516
Let f(q) = -186*q + 42. Let j be f(-5). Factor 1225*b**2 + 4*b**5 - 11*b**4 + j*b**3 + 119*b**4 - 1399*b**2 + 3090*b**2.
4*b**2*(b + 9)**3
Suppose 0 = 3*c + u - 3*u - 6, -4*c = -3*u - 7. Find z such that -44*z**2 - 16*z**3 + 22*z**4 - 28*z + c*z - 18*z**4 = 0.
-1, 0, 6
Let n(j) be the first derivative of -1/17*j**2 - 1/34*j**4 - 4/51*j**3 + 28 + 0*j. Factor n(g).
-2*g*(g + 1)**2/17
Let f(w) be the second derivative of -w**4/84 + 181*w**3/21 + 363*w**2/14 + 2413*w - 1. Let f(c) = 0. What is c?
-1, 363
Let o be (-6)/(-2) + 32/(-8). Let l be (-1 - 0)*(-1 + o). Factor -47 + 5*b**l - 5*b + 47.
5*b*(b - 1)
Let x be -3 + (39/6 - 7)/((-20)/122). Let f(s) be the second derivative of -3/10*s**3 - x*s**4 - 18*s - 3/5*s**2 + 0. Determine b so that f(b) = 0.
-2, -1
Let t(f) be the third derivative of f**7/630 - 7*f**6/180 + 53*f**5/180 - 5*f**4/9 - 5*f**2 - 61*f - 1. Factor t(u).
u*(u - 8)*(u - 5)*(u - 1)/3
Let m = 1825 + -20068/11. Let n(r) be the first derivative of m*r**2 + 2/33*r**3 + 12/11*r + 21. Find f such that n(f) = 0.
-6, -1
Let k(r) be the third derivative of r**6/540 + 203*r**5/270 + 850*r**4/9 - 1156*r**3/3 - 41*r**2 - 16*r. Factor k(h).
2*(h - 1)*(h + 102)**2/9
Suppose 18 = 8*f + 82. Let q be ((-204)/(-24) + f)/(1/10). Suppose 0 + 0*t - 1/9*t**3 + 1/9*t**4 + 1/9*t**q - 1/9*t**2 = 0. What is t?
-1, 0, 1
Let v(d) = -8*d**2 + 32*d - 204. Let b(k) = k**2 + 46. Let u(l) = 6*b(l) + v(l). Let u(m) = 0. Calculate m.
-2, 18
Let r = 6235 - 6220. Let q(j) be the first derivative of r - 4/15*j**3 - 3/10*j**4 + 0*j + 1/5*j**2. Factor q(x).
-2*x*(x + 1)*(3*x - 1)/5
Let c(f) = f**4 - f + 1. Let g(r) = -r**5 + 485*r**4 + 2*r**3 - 966*r**2 - 3*r + 485. Let l(z) = -2*c(z) + g(z). Suppose l(p) = 0. What is p?
-1, 1, 483
Let n(y) be the first derivative of y**7/735 + y**6/210 + 4*y**2 + 5*y + 14. Let c(f) be the second derivative of n(f). Factor c(l).
2*l**3*(l + 2)/7
Suppose 5*v = 3*k + 9, -5*k = -7*k - v + 7. Factor -t**k - 2916 - 69*t - 83*t + 44*t.
-(t + 54)**2
Let f = 1/14837 + 14832/74185. Let -f*y**2 + 6/5 + y = 0. What is y?
-1, 6
Let d(h) be the first derivative of 24/5*h + 93 - 5*h**2 + 28/15*h**3 - 1/10*h**4. Factor d(g).
-2*(g - 12)*(g - 1)**2/5
Let h(d) = -d**4 - 4049*d**3 + 1980