/60)*2916/8. Let y = 2737/88 - i. Solve -12/11*n - 24/11*n**3 + 26/11*n**2 + 2/11 + y*n**4 = 0 for n.
1/2, 1
Let j be (-5 - -3)*3/(-2). Let k(f) = -f**3 + 232*f**2 - 598*f + 31742. Let x be k(230). Factor -7/4*v**2 + 0 + 1/4*v**j - x*v.
v*(v - 8)*(v + 1)/4
Let n be (3/(-4))/(-1) - (-20)/16. Determine w so that 25*w**2 - 2*w**n - 2338*w + 5*w**3 + 15 + 2373*w + 2*w**2 = 0.
-3, -1
Let o(t) be the second derivative of -t**7/210 - 43*t**6/150 - 121*t**5/100 - 37*t**4/60 + 61*t**3/15 + 8*t**2 + 172*t - 1. Let o(u) = 0. What is u?
-40, -2, -1, 1
Let j = -1/555 - -379/4995. Let r(i) be the third derivative of -7/108*i**4 + 0 - 15*i**2 + j*i**3 + 1/30*i**5 + 0*i + 1/945*i**7 - 1/108*i**6. Factor r(w).
2*(w - 2)*(w - 1)**3/9
Let k(f) = f**3 - 7*f**2 - 13*f + 4. Let p be k(-4). Let h = p + 126. What is c in -9 - 10*c - 27*c**2 - h + 32*c**2 = 0?
-1, 3
Let k(d) be the second derivative of -48*d + 3/2*d**2 + 3/8*d**3 + 0 + 1/32*d**4. Factor k(v).
3*(v + 2)*(v + 4)/8
Let b(u) = u**3 + 5*u**2 - 8*u - 10. Let g be b(-6). Suppose 9 - 13 = -g*f. Solve -20*v**4 - 2*v**f + 24*v**4 + 13*v**4 - 15*v**3 = 0.
-2/17, 0, 1
Suppose 5*v + 970*x - 971*x - 30 = 0, -v - 18 = x. Find o such that 2/5*o**v - 64/5 + 28/5*o = 0.
-16, 2
Let g(d) be the third derivative of d**5/420 + 745*d**4/168 + 1899*d**2 - 1. Suppose g(a) = 0. Calculate a.
-745, 0
Solve -136/7*y + 50/7*y**4 + 688/7*y**2 - 890/7*y**3 + 0 = 0.
0, 2/5, 17
Let d(r) be the first derivative of -39/16*r**4 + 1/8*r**6 - 83 + 15*r - 11/4*r**3 + 9*r**2 + 9/20*r**5. Determine c so that d(c) = 0.
-5, -1, 2
Let q(s) = -2*s**2 - 272*s - 828. Let i(h) = h**2 + 135*h + 414. Let y(b) = 5*i(b) + 3*q(b). Factor y(n).
-(n + 3)*(n + 138)
Let d be (-8 - -16) + -15 + 419. Let m = d + -1232/3. Determine r, given that 32/3*r**2 - 22/3*r + m - 14/3*r**3 = 0.
2/7, 1
Let r(z) = -6*z**3 + 673*z**2 - 17501*z + 10. Let n(p) = -3*p**3 + 339*p**2 - 8751*p + 6. Let m(a) = 5*n(a) - 3*r(a). Factor m(v).
3*v*(v - 54)**2
Let w(k) = -33*k**2 - 2664*k - 1790248. Let t(q) = 8*q**2 - 3*q + 1. Let d(l) = 4*t(l) + w(l). Factor d(b).
-(b + 1338)**2
Let b be (-336)/(-32)*(190/(-198) + 1). Let i(x) be the first derivative of -b*x**3 - 4 + 1/22*x**4 - 10/11*x + x**2. Suppose i(v) = 0. What is v?
1, 5
Let y be 126/60 + 0 - 2/20. Let -1647*x**y - 25*x + 150 - 40*x + 1642*x**2 = 0. Calculate x.
-15, 2
Suppose 8*y = -4*z + 30 + 46, 4*y - 64 = -4*z. Factor -5/4*v - 3/4*v**2 + y.
-(v + 3)*(3*v - 4)/4
Let n be (15 + -14)*(1 + -776). Let p = -775 - n. Let -2/19*l**2 + 2/19 + p*l = 0. Calculate l.
-1, 1
Let g(i) be the second derivative of 3*i**7/35 - 119*i**6/75 - 271*i**5/50 + 157*i**4/10 - 6*i**3 + 22*i - 29. Let g(c) = 0. What is c?
-3, 0, 2/9, 1, 15
Factor -174/5*y - 2/5*y**3 - 36*y**2 + 356/5.
-2*(y - 1)*(y + 2)*(y + 89)/5
Factor 531*l**3 + 47*l**3 + 100790*l + 452*l**2 - 46 - 13814*l**2 - 99224*l.
2*(l - 23)*(17*l - 1)**2
Factor 192*g**2 + 216*g + 3/2*g**5 + 96 + 18*g**4 + 84*g**3.
3*(g + 2)**4*(g + 4)/2
Let r(s) be the first derivative of s**3/15 - s**2/10 - 22*s - 6981. Factor r(l).
(l - 11)*(l + 10)/5
Let m = 85 - 81. Suppose 0 = -5*j - 5*l - 0 + 5, 14 = m*j - l. Factor 39*z**j - 69*z**3 + 32*z**3.
2*z**3
Let q(a) be the first derivative of 17*a + 1/4*a**3 - 3/8*a**2 - 15 - 1/16*a**4. Let m(l) be the first derivative of q(l). Factor m(z).
-3*(z - 1)**2/4
Let f(h) = -h**3 + 2*h**2 + h + 1. Let x(b) = b**4 - 73*b**3 + 64*b**2 + 369*b + 222. Let d(s) = 3*f(s) + x(s). Factor d(w).
(w - 75)*(w - 3)*(w + 1)**2
Suppose 0 = 5*m - 5*u - 210, -7*m + 3*u = -3*m - 166. Let i = -36 + m. Factor -10*c**3 - 19*c**3 - 3*c**5 + 35*c**3 - 3 - c**i + 6*c**2 - 2*c**4 - 3*c.
-3*(c - 1)**2*(c + 1)**3
Suppose 2/7*i**2 - 52/7*i + 240/7 = 0. What is i?
6, 20
Suppose 430 - 412 = 2*n - 3*f, n - 11 = 2*f. Let d(i) be the third derivative of -1/12*i**5 + 28*i**2 + 0 + 0*i + 0*i**n + 1/12*i**4. Factor d(j).
-j*(5*j - 2)
Factor 12696/7 + 2/7*q**3 + 2162/7*q + 116/7*q**2.
2*(q + 12)*(q + 23)**2/7
Let l(v) be the first derivative of -v**6/30 - 67*v**5/25 + v**4/20 + 67*v**3/15 - 6359. Determine d so that l(d) = 0.
-67, -1, 0, 1
Let x = 233 - 231. What is b in 24 + 61*b + 5*b**2 - 263*b**x + 72*b**5 + 536*b**3 - 69*b - 366*b**4 = 0?
-1/4, 2/3, 1, 3
Let g(f) = -f**4 + f**3 + f**2 - f + 1. Let m(o) = -2*o**4 + 2*o**3 - 2*o + 5. Let y = 146 + -140. Let s(u) = y*g(u) - 2*m(u). Determine j so that s(j) = 0.
-1, 1, 2
Let q = 222/1313 - -14646/6565. Factor q - 17/5*f**2 - 24/5*f**3 + 4*f + 9/5*f**4.
(f - 3)*(f - 1)*(3*f + 2)**2/5
Let w(f) be the third derivative of -f**6/75 - 23*f**5/75 + 13*f**4/10 - 9*f**2 + 149. Let w(k) = 0. Calculate k.
-13, 0, 3/2
Let z = -17798 + 53396/3. Find t, given that 4 - 26/3*t + 16/3*t**2 - z*t**3 = 0.
1, 6
Find n, given that 1/4*n**5 + 11/2*n - 10 + 59/4*n**2 - 19/4*n**4 - 23/4*n**3 = 0.
-2, -1, 1, 20
Suppose -2*i = -9*o + 22, -58*o + 56*o = 4*i - 36. Suppose -10 = -5*u - 0. Solve -q**2 + u*q**3 - 1 + 1/2*q**5 - 5/2*q + 2*q**o = 0 for q.
-2, -1, 1
Suppose 5*g - 4*t - 14 = 0, -3*g + 3*t = -8*g + 7. Let d(z) be the first derivative of g*z**3 + 20 - 3/2*z**2 + 3/4*z**4 - 6*z. Factor d(y).
3*(y - 1)*(y + 1)*(y + 2)
Let m(g) be the first derivative of -5/108*g**4 + 0*g - 1/90*g**5 + 9 + 6*g**2 - 2/27*g**3. Let u(r) be the second derivative of m(r). What is i in u(i) = 0?
-1, -2/3
Let p be 1/(-36)*(6/(-8) - (-325)/(-52)). Let f(v) be the third derivative of 1/90*v**5 - 35*v**2 - p*v**4 + 0 + 0*v + 0*v**3. Find j, given that f(j) = 0.
0, 7
Let p(u) be the first derivative of 3*u**5/35 + 73*u**4/28 + 7*u**3 - 157*u**2/14 - 66*u/7 + 745. Suppose p(z) = 0. Calculate z.
-22, -3, -1/3, 1
Let x(d) = 20*d**5 + 269*d**4 + 210*d**3 - 551*d**2 + 4*d + 43. Let p(g) = g**5 + g**3 + 2*g**2 - 5. Let j(s) = -5*p(s) + x(s). Solve j(y) = 0 for y.
-17, -2, -1/3, 2/5, 1
Find q, given that -9/4*q**2 - 447/4*q + 75/2 = 0.
-50, 1/3
Let w(z) be the first derivative of -2*z**5/25 - 82*z**4/5 - 216*z**3/5 + 902. Solve w(n) = 0 for n.
-162, -2, 0
Let s(v) be the second derivative of -v**5/70 - 11*v**4/21 + 75*v**3/7 - 450*v**2/7 - 694*v + 2. Determine w, given that s(w) = 0.
-30, 3, 5
Let r(s) be the first derivative of -s**9/1512 + s**7/140 - s**6/90 + 52*s**3/3 + 30. Let d(o) be the third derivative of r(o). Factor d(y).
-2*y**2*(y - 1)**2*(y + 2)
Factor 394/3*l - 196/3 + 2/3*l**3 - 200/3*l**2.
2*(l - 98)*(l - 1)**2/3
Let t(c) = 40*c**2 + 840*c + 173889. Let m(v) = -13*v**2 - 2*v. Let y(r) = 6*m(r) + 2*t(r). Factor y(h).
2*(h + 417)**2
Let n = 127/4008 - -5/501. Let q(r) be the third derivative of -1/240*r**6 + 0*r**5 + 0 + 1/48*r**4 - r**2 + n*r**3 - 1/840*r**7 + 0*r. Let q(l) = 0. What is l?
-1, 1
Factor 0*d**4 - 28*d**3 - d**5 + 5*d**5 + 52*d**2 - 6*d**4 + 2*d**4 - 22*d - 2*d.
4*d*(d - 2)*(d - 1)**2*(d + 3)
Let k(p) be the second derivative of -3 + 1/18*p**4 - 3*p**2 + 0*p**3 - 12*p. Factor k(g).
2*(g - 3)*(g + 3)/3
Let w(f) = 4*f**4 + 18*f**3 + 91*f**2 - 360*f - 864. Let g(h) = -h**4 - 6*h**3 - 30*h**2 + 120*h + 288. Let i(k) = -21*g(k) - 6*w(k). Factor i(v).
-3*(v - 6)**2*(v + 2)*(v + 4)
Let o(f) be the first derivative of -f**4/2 + 2*f**3 + 18*f**2 - 1501. Suppose o(x) = 0. Calculate x.
-3, 0, 6
Suppose -504 - 3/4*w**4 + 159/4*w**3 + 129*w**2 - 159*w = 0. Calculate w.
-3, -2, 2, 56
Let y(q) = q - 4. Let x(d) = -2*d**3 - 230*d**2 - 1338*d - 1914. Let p(n) = -x(n) - 12*y(n). Let p(r) = 0. What is r?
-109, -3
Let g = -88 + 122. Let -2 - 4*c**2 + 8*c - 30*c - g + 2*c**2 = 0. Calculate c.
-9, -2
Let k(n) = n**5 - 5*n**4 - n**3. Let v(p) be the first derivative of -p**6/3 + 8*p**5/5 + p**4/2 - 8. Let f = -16 - -8. Let a(t) = f*k(t) - 5*v(t). Factor a(c).
2*c**3*(c - 1)*(c + 1)
Let w(j) be the second derivative of -j**6/150 + 13*j**5/100 - 43*j**4/60 + j**3/2 + 36*j**2/5 + 3592*j. Factor w(i).
-(i - 8)*(i - 3)**2*(i + 1)/5
Suppose 9*m = 60*m - 28 - 125. Let h(a) be the first derivative of -9 - 1/6*a**3 - m*a + 5/4*a**2. Factor h(j).
-(j - 3)*(j - 2)/2
Let o(y) = y**5 + 2*y**4 - 2*y**2 - 1. Let q(v) = 21*v**5 - 6*v**4 + 201*v**3 - 474*v**2 + 444*v - 186. Let u(f) = 18*o(f) - q(f). Solve u(h) = 0.
1, 2, 7
Suppose 619*u + 1073*u = 403*u - 1441*u. Factor 4/5*w**4 - 4/5*w + u - 12/5*w**3 + 12/5*w**2.
4*w*(w - 1)**3/5
Suppose -28*r = -v - 84, -117*v = -116*v + 5*r - 15. Suppose 0*x + v*x**2 + 0 +