**4 + 0 + 22*w - 1/168*w**7 + 1/60*w**6 + 3/40*w**5 - 5/24*w**3 + 3/4*w**2. Let d(n) = 0. Calculate n.
-2, -1, 1, 3
Let m be (-100)/(-4)*8*(-7)/(-280). Let c(o) be the third derivative of 0 - 4*o**2 + 0*o**3 + 1/210*o**m - 1/42*o**4 + 0*o. Factor c(g).
2*g*(g - 2)/7
Let h(g) = g**3 + 4*g**2 + 3*g + 3. Suppose -10*s = -34 + 54. Let y be h(s). Factor -1/7*a**y + 0*a**3 - 2/7*a**4 + 2/7*a**2 + 1/7*a + 0.
-a*(a - 1)*(a + 1)**3/7
Factor -4/7*x**4 + 0 + 68/7*x - 20*x**2 + 76/7*x**3.
-4*x*(x - 17)*(x - 1)**2/7
Let -601 + 140 - 399 - 4*r**2 + 192*r = 0. What is r?
5, 43
Let m(t) be the second derivative of -t**5/16 - 3*t**4/32 + t**3/4 + 94*t**2 - 2*t + 144. Let l(a) be the first derivative of m(a). Suppose l(o) = 0. What is o?
-1, 2/5
Let l(q) be the first derivative of -q**8/112 - q**7/35 + q**5/10 + q**4/8 + 22*q**2 - 40. Let t(w) be the second derivative of l(w). Factor t(x).
-3*x*(x - 1)*(x + 1)**3
Factor 190285*g**2 + 146647*g**2 + 20 + 80673*g**2 - 5780*g.
5*(289*g - 2)**2
Solve -10/7*b**2 + 0 - 8/21*b = 0.
-4/15, 0
Let f(n) be the first derivative of -n**6/21 - 8*n**5/35 + 16*n**4/7 - 32*n**3/21 - 16*n**2 + 256*n/7 - 2925. Solve f(c) = 0.
-8, -2, 2
Let d be (6/(-20))/1*-2. Let n = 2653928/5 - 530782. Factor 3*r + d*r**2 + n.
3*(r + 2)*(r + 3)/5
Suppose 26*s + 14*s = -5*s + 2*s - 39*s. Factor 1/5*h + 1/5*h**2 + s.
h*(h + 1)/5
Let b(x) be the second derivative of 1/60*x**6 - 3/20*x**5 + 0*x**3 + 0 - 98*x + 0*x**2 + 1/3*x**4. Suppose b(f) = 0. What is f?
0, 2, 4
Suppose -4*v + 5*s = 19 - 15, 5*v = -4*s + 36. Let k(l) be the first derivative of 1/7*l**2 + 0*l - 14 + 1/14*l**v - 4/21*l**3. What is t in k(t) = 0?
0, 1
Let h(q) = -16*q + 108. Let p be h(7). Let d be (p + 114/30)/((-2)/24). Suppose 7/5*m**3 + d*m + 2/5*m**4 + 0 - 1/5*m**5 - 4*m**2 = 0. Calculate m.
-3, 0, 1, 2
Factor -345 + 19736*l - 339*l**2 - 9577*l - 9472*l - 3*l**3.
-3*(l - 1)**2*(l + 115)
Let l be (-13)/143 - (-398)/22. Let 32*c + 4*c**4 - 23*c - l*c**2 - 21*c - 26*c**2 + 12*c**3 + 40 = 0. Calculate c.
-5, -1, 1, 2
Let l(d) be the second derivative of -d**7/210 + d**6/18 - d**5/5 + d**3/3 + 17*d**2/2 - 66*d. Let s(v) be the second derivative of l(v). Factor s(r).
-4*r*(r - 3)*(r - 2)
Let q(d) be the third derivative of d**5/25 - 343*d**4/15 + 304*d**3/5 + 931*d**2 - 2*d - 1. Factor q(j).
4*(j - 228)*(3*j - 2)/5
Suppose 9*i + 16 - 79 = 0. Determine v so that -i*v**2 - v**4 + 8560 - 8552 - 18*v + 18*v**2 = 0.
-4, 1, 2
Let f be (-8)/6*(-6)/4. Let o be 53/8 - 362/724. Determine n so that -1/8*n**f - o + 7/4*n = 0.
7
Let v(j) be the second derivative of 841*j**2 + 1/6*j**4 - j - 114 + 58/3*j**3. Factor v(q).
2*(q + 29)**2
Let o(k) = -4*k**2 + 11548*k - 8317454. Let c(m) = -20*m**2 + 57746*m - 41587269. Let w(b) = 2*c(b) - 11*o(b). Find l, given that w(l) = 0.
1442
Let f(k) be the first derivative of -k**3/3 - k**2/2 + 56*k + 674. Let f(d) = 0. Calculate d.
-8, 7
Let v be 260/30*540/1170. Factor 1/2*k**2 - 3*k + v.
(k - 4)*(k - 2)/2
Let d(i) be the third derivative of -i**5/150 - 7*i**4/10 + 143*i**3/3 + 2*i**2 + 2*i + 896. Factor d(g).
-2*(g - 13)*(g + 55)/5
Let u(q) be the first derivative of q**5 + 5*q**4/4 - 20*q**3 - 70*q**2 - 80*q - 6046. Factor u(k).
5*(k - 4)*(k + 1)*(k + 2)**2
Let m(d) = -d**2 + 78*d - 305. Let v be m(52). Let k = 3143/3 - v. Factor k*t**3 + 2*t**2 + 4/3*t + 0.
2*t*(t + 1)*(t + 2)/3
Let z be ((-360)/6)/(-10) + -4. Let g be (14/(-70))/(64/(-30) + z). Factor 6*n + 9/2 + g*n**2.
3*(n + 1)*(n + 3)/2
Let s(o) = o**3 - o + 1. Let h(j) = -4*j**3 + 6*j - 1. Let f = -305 - -306. Let t(n) = f*h(n) + 3*s(n). Solve t(g) = 0.
-1, 2
Let h(n) = -n**2 + 25*n - 1. Let a be h(25). Let z(p) = -p**4 - p**2 + p + 1. Let c(t) = -2*t**4 + 8*t**2 - 3*t - 3. Let j(b) = a*c(b) - 3*z(b). Factor j(l).
5*l**2*(l - 1)*(l + 1)
Let v(y) = -23*y**3 - 299*y**2 - 826*y - 555. Let j(c) = -37*c**3 - 451*c**2 - 1238*c - 832. Let w(r) = -5*j(r) + 8*v(r). Let w(t) = 0. Calculate t.
-2, -1, 140
Let m = 51 - -64. Determine k so that -10*k**4 + m*k**2 - 24 - 71*k**4 - 42*k**3 - 25*k**2 + 15*k**3 + 12*k = 0.
-1, -2/3, 2/3
Let z(q) be the second derivative of q**6/30 + q**5/5 - 2*q**4/3 - 21*q**2/2 + 26*q. Let i(k) be the first derivative of z(k). Suppose i(h) = 0. Calculate h.
-4, 0, 1
Let l(m) be the second derivative of -1/105*m**7 + 1/10*m**5 + 1/6*m**4 - 38*m - 1/75*m**6 + 0 - 4/15*m**3 - 4/5*m**2. Find h such that l(h) = 0.
-2, -1, 1, 2
Suppose -17*t = -62 - 6. Factor 5*n - 3*n + t*n**2 - n + 3*n.
4*n*(n + 1)
Factor 13357/3*p + 21*p**3 + 13718 + 1/3*p**4 + 475*p**2.
(p + 6)*(p + 19)**3/3
Let p(f) = -5*f**2 - 5810*f - 10. Let n(o) = 5*o**2 + 5. Let t(c) = -2*n(c) - p(c). Factor t(a).
-5*a*(a - 1162)
Let k(a) be the second derivative of 1/28*a**4 - 1/7*a**3 + 8 + 0*a**2 + 3/140*a**5 - 3*a. Factor k(d).
3*d*(d - 1)*(d + 2)/7
Suppose -2*r - 4*k + 32 = 0, 8377*k - 16 = -5*r + 8375*k. Let a be (-6)/(-135)*5 - 0. Determine v, given that -a*v**2 + 8/9*v + r = 0.
0, 4
Let b be (-29 + 31)/(8/52). Let f(i) be the first derivative of 12/5*i - 2/15*i**3 - 1/5*i**2 + b. Factor f(n).
-2*(n - 2)*(n + 3)/5
Suppose -77*f + 3*d = -82*f + 41, d - 9 = -f. Let z be 7*f/14 + (1 - 3). Let z*l**2 + 363/2 + 33*l = 0. Calculate l.
-11
Factor 4675*m - 30420*m**3 + 181740*m**2 + 46 + 31 - 109 + 62.
-5*(m - 6)*(78*m + 1)**2
Let b(d) be the first derivative of d**6/11 - 82*d**5/55 + 82*d**4/11 - 472*d**3/33 + 96*d**2/11 + 11013. Suppose b(i) = 0. Calculate i.
0, 2/3, 2, 3, 8
Let d(h) be the second derivative of h**4/42 + 10*h**3/21 + 9*h**2/7 + 988*h. Suppose d(n) = 0. What is n?
-9, -1
Let p(v) be the third derivative of v**8/1680 - 11*v**7/525 + 47*v**6/300 - 8*v**5/15 + 121*v**4/120 - 17*v**3/15 - 12*v**2 + 1. Determine m so that p(m) = 0.
1, 2, 17
Let d be 1696/(-8)*(162/45)/(-18)*1. Let -32/5*a**2 - 10 - d*a**3 + 82/5*a**4 - 8/5*a**5 + 44*a = 0. Calculate a.
-1, 1/4, 1, 5
Let v(u) be the third derivative of 0 - 2*u + 17/15*u**5 + 0*u**3 + 2/15*u**7 + 11/12*u**4 + 1/168*u**8 + 3/5*u**6 - 7*u**2. Solve v(k) = 0 for k.
-11, -1, 0
Let q(z) be the second derivative of z**6/960 + z**5/48 - 13*z**4/48 + 7*z**3/6 + 5*z**2 + z + 108. Let b(a) be the first derivative of q(a). Factor b(f).
(f - 2)**2*(f + 14)/8
Let r(h) be the first derivative of 27 - 1/7*h**4 + 4*h**3 + 400/7*h - 240/7*h**2. Factor r(z).
-4*(z - 10)**2*(z - 1)/7
Let y be 4/(-10) - (-21)/15. Let l be -3*(0 - y) + (-33 - -32). Determine d so that 4 - 2*d**5 - 815*d**2 - 4 + 813*d**l - 6*d**4 - 6*d**3 = 0.
-1, 0
Let i be 189/(-21)*(30/18 - 2). Let k(q) be the third derivative of 0*q + 0 - 7/48*q**4 - 20*q**2 - 1/240*q**5 - 49/24*q**i. Determine a so that k(a) = 0.
-7
Determine c, given that -5*c - 16 - 5*c**2 + 41 + 20*c - 15 - 21*c**3 - 5*c**4 + 6*c**3 = 0.
-2, -1, 1
Let m(w) be the third derivative of w**6/840 - 4*w**5/105 + w**4/2 - 24*w**3/7 + 21*w**2. Factor m(n).
(n - 6)**2*(n - 4)/7
Let p = -4581/110 - -4757/110. Let -98/5*v**3 + p*v**2 + 56/5*v - 56/5*v**4 - 6/5*v**5 + 0 = 0. Calculate v.
-7, -2, -1, 0, 2/3
Let h = 153/50 - -117/50. Find n such that -h + 3/5*n**2 - 24/5*n = 0.
-1, 9
Let r(o) be the first derivative of -1/8*o**3 - 3/16*o**4 + 0*o + 0*o**2 - 62 - 3/40*o**5. Suppose r(u) = 0. What is u?
-1, 0
Let g(s) = 51*s**2 + 8518*s + 6040691. Let o(d) = -141*d**2 - 25553*d - 18122071. Let w(a) = -11*g(a) - 4*o(a). Factor w(j).
3*(j + 1419)**2
Let q = 243 - 209. Factor 396*b**2 + b**4 - q*b**3 + 616 + 370 + 29 + 316 - 1694*b.
(b - 11)**3*(b - 1)
Let v(y) be the second derivative of y**6/120 - 19*y**5/30 + 37*y**4/24 + 101*y**2 - 33*y. Let h(k) be the first derivative of v(k). Factor h(l).
l*(l - 37)*(l - 1)
Factor 605000/9 + 2200/9*x + 2/9*x**2.
2*(x + 550)**2/9
Let o = -152 + 135. Let n(w) = 26*w**3 - 8*w**2 - 36*w - 36. Let i(z) = 9*z**3 - 3*z**2 - 12*z - 12. Let y(g) = o*i(g) + 6*n(g). Factor y(k).
3*(k - 2)*(k + 1)*(k + 2)
Suppose 58*g + 5*g = 1197. Let d be 10/100 - g/(-10). Suppose d*u**3 + 0 + 2*u**2 + 2/3*u**4 + 2/3*u = 0. Calculate u.
-1, 0
Let k(u) be the first derivative of 10*u**3/3 - 313*u**2/9 - 28*u/9 - 1242. Solve k(j) = 0 for j.
-2/45, 7
Let v(f) be the first derivative of 81*f**2 - 40*f - 201 - 8/3*f**3. What is n in v(n) = 0?
1/4, 20
Let i be 19/(-5) + (-48)/(-60). Let s = i + 21. Factor s*f + f**2 + 27 + 2*f**2 + 0.
3*(f + 3)**2
Let o(a