 be 2/(-8) - (347/(-20) + o). Suppose 3/10*q**3 + 9/10 + p*q - 17/10*q**2 = 0. What is q?
-1/3, 3
Let l = -841/47 + 4957/235. Factor 2 + 36/5*q**2 + 2/5*q**4 + l*q**3 + 32/5*q.
2*(q + 1)**3*(q + 5)/5
Let n = -89 + 93. Suppose -p + 9*u = n*u + 7, -4*p + 8 = -2*u. Factor -2 + m + 0*m + p + 70*m**3 - m**2 - 71*m**3.
-(m - 1)*(m + 1)**2
Let v(l) be the first derivative of -25*l**3 + 27*l**2/2 - 1453. Factor v(n).
-3*n*(25*n - 9)
Let m(u) be the first derivative of -u**5/40 - 8*u**4/9 - 7*u**3/12 + 119*u - 128. Let y(z) be the first derivative of m(z). Factor y(o).
-o*(o + 21)*(3*o + 1)/6
Let d be -4 + ((-480)/35)/(-3). Let w = 2284/77 - 320/11. Factor d*x**3 - w*x + 0*x**2 + 0.
4*x*(x - 1)*(x + 1)/7
Let y(h) be the second derivative of 1/36*h**4 + 0 + 155*h + 0*h**2 + h**3. Factor y(b).
b*(b + 18)/3
Suppose 335*w + 69 = 358*w. Let q be -1*(-4)/(-2) + 5. Solve -2*v**3 + v**w - 1 - 72*v - q*v**2 + 69*v = 0.
-1
Let s be 8/(-9) + (-22784)/(-23040). Let b(r) be the third derivative of -1/2*r**4 + 0*r + 8/15*r**5 + 0 - 39*r**2 - 4/3*r**3 - s*r**6. Factor b(h).
-4*(h - 2)*(h - 1)*(3*h + 1)
Suppose -2*n**2 - 306*n - 5259 + 2411 + 2544 = 0. Calculate n.
-152, -1
Let p be (-19)/((-1064)/50088) - 3/7. Let h = 4476/5 - p. Factor -3/5*n**3 - h + 9/5*n + 0*n**2.
-3*(n - 1)**2*(n + 2)/5
Let c(u) be the second derivative of -3*u**5/100 - 7*u**4/20 - 7*u**3/5 - 12*u**2/5 - 928*u. Let c(j) = 0. What is j?
-4, -2, -1
Let u(a) = a**2 - a + 1. Let b(n) = 2*n**4 + 20*n**3 - 26*n**2 - 18*n + 20. Let l(w) = b(w) + 2*u(w). Factor l(d).
2*(d - 1)**2*(d + 1)*(d + 11)
Let t(j) be the third derivative of -j**5/10 - 67*j**4/12 - 22*j**3/3 + 5*j**2 + 19*j. Factor t(d).
-2*(d + 22)*(3*d + 1)
Let s = 204 - 189. Let l be (-1484)/(-1680) - 2/s. Determine m so that 1/2*m**4 + l*m**3 + 1/4*m**2 + 0 + 0*m = 0.
-1, -1/2, 0
Factor -160/11 - 184/11*f - 2/11*f**3 - 60/11*f**2 + 1/11*f**4.
(f - 10)*(f + 2)**2*(f + 4)/11
Let x(u) = -u**3 - 11*u**2 + 26*u + 3. Let d be x(-13). Factor -2*f**4 + 22*f**2 - 974 - 975 - 18*f + 18*f**d + 1929.
-2*(f - 10)*(f - 1)*(f + 1)**2
Let f(w) be the second derivative of w**7/525 - 2*w**5/75 - 34*w**2 + 13*w. Let z(i) be the first derivative of f(i). Factor z(u).
2*u**2*(u - 2)*(u + 2)/5
Let a(m) be the first derivative of 13*m**4/5 - 788*m**3/15 - 824*m**2/5 + 272*m/5 + 1062. Solve a(b) = 0 for b.
-2, 2/13, 17
Factor -107*q + 4*q**3 - 54*q**2 + 27*q**2 + 39*q**2 + 8*q - 320 - 213*q.
4*(q - 8)*(q + 1)*(q + 10)
Let p be 67/(-95 + 430)*(1 - 0/1). What is n in -22/5*n**4 - 4*n**2 - p*n**5 - 41/5*n**3 + 0 + 0*n = 0?
-20, -1, 0
Let m be (14/(728/65)*-2)/(10/(-8)). Let w(v) be the first derivative of 5 - 1/6*v**3 + 1/4*v**m + v. Factor w(k).
-(k - 2)*(k + 1)/2
Let o(g) = -g + 4. Suppose 0 = -7*n + 17 - 3. Let q be o(n). Let w(f) = -f**2 - f + 3. Let l(i) = -1. Let p(u) = q*l(u) + 2*w(u). Factor p(c).
-2*(c - 1)*(c + 2)
Factor 0 - 16*a - 76/3*a**2 - 32/3*a**3 - 4/3*a**4.
-4*a*(a + 1)*(a + 3)*(a + 4)/3
Let p(o) be the first derivative of 2*o**2 + 0*o - 83 + 6*o**3 - 11/2*o**4. Find t such that p(t) = 0.
-2/11, 0, 1
Suppose -4*f - f + 3*b - 99 = 0, 4*b = 5*f + 102. Let g(s) = s. Let v(n) = n**2 + 31*n + 20*n - 54*n + 9. Let d(j) = f*g(j) - 2*v(j). Solve d(i) = 0.
-3
Let l(k) = 8*k + 50. Let n be l(-7). Let y(d) = 3*d**2 + 16*d - 10. Let u be y(n). Factor 7 + 3*x**4 + 6*x**3 - 12*x**2 + u*x**4 - 56*x - 3*x**4 - 55.
2*(x - 3)*(x + 2)**3
Let u be 3*((-4)/(-6))/((-15)/(-15)). Determine z so that -2/13*z**3 - 16/13 - 24/13*z - 12/13*z**u = 0.
-2
Let k(f) be the first derivative of 1/28*f**4 + 6/7*f + 0*f**3 + 50 - 1/2*f**2. Factor k(v).
(v - 2)*(v - 1)*(v + 3)/7
Let t be 100/(-80)*(-8)/(-180)*-64. Let c(x) be the first derivative of 8/9*x**4 - t*x - 16/9*x**2 + 23 + 1/27*x**6 + 16/27*x**3 + 14/45*x**5. Factor c(k).
2*(k - 1)*(k + 2)**4/9
Let k(l) = 39*l + 658. Let g(j) = 13*j + 217. Let f(b) = 11*g(b) - 4*k(b). Let r be f(-19). Factor -1/4*u**3 + 0 - u - u**r.
-u*(u + 2)**2/4
Let o(q) = -11 + 1 - 34 + 4 + 3*q. Let d be o(15). Factor -7*w**3 - 2*w**4 + 3*w**4 - 5*w**4 - 3*w**2 - w**4 - w**d.
-w**2*(w + 1)**2*(w + 3)
Let i(g) be the second derivative of g**4/20 - 627*g**3/10 + 939*g**2/5 - 346*g + 1. Factor i(a).
3*(a - 626)*(a - 1)/5
Let c(s) be the first derivative of -s**7/525 + 11*s**6/300 + s**5/6 + 13*s**4/60 - 317*s**2/2 - 91. Let v(h) be the second derivative of c(h). Factor v(z).
-2*z*(z - 13)*(z + 1)**2/5
Let d(k) be the second derivative of 3 - 9*k - 1/2*k**2 - 1/3*k**3 - 1/12*k**4. Factor d(v).
-(v + 1)**2
Let z be (0 - 14/(-16))/((-17)/340). Let x = z + 77/3. Factor -7/3*p + 1/6*p**2 + x.
(p - 7)**2/6
Solve 54/7*k**5 + 0*k - 32/7*k**2 - 24*k**4 + 0 - 184/7*k**3 = 0 for k.
-2/3, -2/9, 0, 4
Let 1/2*p**2 - 71*p - 435/2 = 0. Calculate p.
-3, 145
Factor -4/5*f**2 - 494/25*f + 5408/25 + 2/25*f**3.
2*(f - 13)**2*(f + 16)/25
Suppose 5*c + 5*g + 10 = 0, 33 = -5*c - 4*g + 27. Let w(y) be the first derivative of -14 + 2*y + 2/3*y**3 + 2*y**c. What is r in w(r) = 0?
-1
Let c(m) be the first derivative of -m**6/72 - 13*m**5/6 + 9*m**3 - 4*m + 93. Let p(o) be the third derivative of c(o). Factor p(k).
-5*k*(k + 52)
Let y = -674 - -9437/14. Let o = y - -3/7. Factor -1 + 1/2*l + o*l**2.
(l - 1)*(l + 2)/2
Let p = 8/11071 + 22070/99639. Find m such that 0 + p*m**3 + 0*m - 2/3*m**2 = 0.
0, 3
Let d(j) be the third derivative of j**5/12 - 25*j**4/6 + 455*j**3/6 + j**2 + 54. Factor d(l).
5*(l - 13)*(l - 7)
Factor 164/3*z**3 + 0 + 110/3*z**2 - 1/2*z**4 + 0*z.
-z**2*(z - 110)*(3*z + 2)/6
Let f(b) be the first derivative of 4/9*b**3 - 62 + 2/3*b**2 - 8*b. Let f(m) = 0. Calculate m.
-3, 2
Suppose 23*a = 15*a + 40. Suppose 0 = -4*g + 5*x + 13, 3*g - a = -0*x - x. Factor 15/4 + 5/2*p - 5/4*p**g.
-5*(p - 3)*(p + 1)/4
Let o(x) be the third derivative of -x**8/1848 - 2*x**7/165 - 7*x**6/165 + 29*x**5/165 + 29*x**4/132 - 4*x**3/3 + 4434*x**2 + 2*x. Determine y so that o(y) = 0.
-11, -4, -1, 1
Let j(r) be the second derivative of -1/95*r**5 - 1/19*r**2 + 1/19*r**3 + 1/95*r**6 - 1/399*r**7 + 0 - 1/57*r**4 - 46*r. Find f, given that j(f) = 0.
-1, 1
Let b(l) = -l**3 - 21*l**2 + 23*l + 28. Let j be b(-22). Suppose 10*m - 7*m = j. Factor 1/3*f**m + 0 + 2/3*f.
f*(f + 2)/3
Let o(y) be the second derivative of y**6/345 + 8*y**5/115 + 21*y**4/46 - 699*y. Factor o(u).
2*u**2*(u + 7)*(u + 9)/23
Let v be (24/(-14) - -2) + 151528/2184. Let o = 857/12 - v. Factor o*t + 2 - 1/4*t**2.
-(t - 8)*(t + 1)/4
Let v = 269 + -266. Let -164*k**v + 4*k**5 - 80 + 32*k**5 + 96*k + 2 - 156*k**4 + 204*k**2 - 2 = 0. What is k?
-1, 2/3, 5
Let u(h) be the second derivative of 10*h**3 + 3/20*h**5 + 2*h**4 + 24*h**2 + 69*h - 2. What is t in u(t) = 0?
-4, -2
Let q(l) be the second derivative of l**6/540 + 4*l**5/135 - 19*l**4/108 + 10*l**3/27 - 17*l**2 - 107*l. Let a(s) be the first derivative of q(s). Factor a(f).
2*(f - 1)**2*(f + 10)/9
Let d(o) = -o**2 + 26*o + 4. Let t be d(20). Suppose -3*v + 0*v - 5*i = -128, -5*i = -4*v + t. Suppose -46 - 74 - 14 + v + 28*f - 2*f**2 = 0. Calculate f.
7
Let o(x) be the second derivative of 143*x**6/105 - 17*x**5/10 - 23*x**4/42 - x**3/21 - 2408*x. Find v such that o(v) = 0.
-1/11, -1/13, 0, 1
Let i = -8615 - -180916/21. Let d(s) be the third derivative of 1/210*s**5 + 1/42*s**4 + 0 + 0*s + 30*s**2 + i*s**3. Suppose d(h) = 0. What is h?
-1
Let j(f) be the first derivative of -1/60*f**6 - 1/5*f**2 + 3/25*f**5 - 80 - f**3 + 12/5*f + 1/8*f**4. Determine q, given that j(q) = 0.
-2, -1, 1, 2, 6
Suppose -19*c + 100*c + 38*c = 0. Factor c - 1/2*f - 1/4*f**2.
-f*(f + 2)/4
Let 156800/13 + 2/13*z**2 + 1120/13*z = 0. Calculate z.
-280
Let k(w) be the second derivative of w**5/60 + w**4/3 + 23*w**3/18 - 6*w**2 + 282*w. Suppose k(y) = 0. Calculate y.
-9, -4, 1
Suppose 12*a = -15*a + 27. Suppose -1 = 7*k - a. Find m, given that -1/5*m**2 + 0*m + k = 0.
0
Let z(a) = a**2 + 15*a + 67. Let b be z(-17). Let c = b - 97. Factor 4 - j**2 - c*j + 5*j**4 + 3*j**3 + 2*j**5 + 3*j - 4.
j*(j + 1)**3*(2*j - 1)
Determine r so that -858*r - 219*r**2 - 3/2*r**3 - 852 = 0.
-142, -2
Let d(n) be the first derivative of -3*n**4/16 - 13*n**3/2 - 273*n**2/8 + 441*n/2 + 1198. Let d(h) = 0. Calculate h.
-21, -7, 2
Factor -3*r**3 - 156 - 32*r - 54*r**2 - 101*r - 35*r - 39*r.
-3*(r + 1)*(r + 4)*(r + 13)
Let p(r) = -3*r - 7. L