8/5*b**n - r*b + 2/5*b**3 - 12/5 = 0.
-1, 6
Factor -33*x - 5/4*x**3 + 0 - 29*x**2.
-x*(x + 22)*(5*x + 6)/4
Let u be 2/(-8) + 1551/188. Suppose 0 = r, -3*r = -2*g + 4*g - u. Factor 0 + 368/13*i**3 + 32/13*i - 240/13*i**g - 192/13*i**2 + 50/13*i**5.
2*i*(i - 2)**2*(5*i - 2)**2/13
Let o(y) = 4*y**4 + 16*y**3 - 48*y**2 - 122*y + 268. Let z(l) = -4*l**4 - 16*l**3 + 48*l**2 + 121*l - 270. Let r(v) = -7*o(v) - 6*z(v). Factor r(m).
-4*(m - 2)**2*(m + 4)**2
Let d(v) = v**5 - 41*v**4 + 41*v**2 + 10*v - 11. Let p(y) = 21*y**4 - 21*y**2 - 6*y + 6. Let c(t) = 6*d(t) + 11*p(t). Solve c(o) = 0 for o.
-1, 0, 1/2, 1, 2
Let t(u) be the first derivative of u**6/2880 + 17*u**5/160 + 867*u**4/64 + 21*u**3 + 2*u - 137. Let f(x) be the third derivative of t(x). Factor f(q).
(q + 51)**2/8
Let v = -46 + 48. Let o be (3/v)/(3/2902). Suppose -80 + 160*h**2 + 380*h + 86*h**5 + 121*h**4 - 141*h**5 - 1385*h**3 - o*h**4 - 190*h**5 = 0. What is h?
-4, -1, 2/7
Let s(h) be the third derivative of -h**8/20160 - h**7/560 + h**5/10 + h**4/12 - 70*h**2. Let w(y) be the third derivative of s(y). Factor w(k).
-k*(k + 9)
Let d(t) = -4*t**2 + 26*t + 78. Let x be d(13). Let a = 264 + x. Factor 0 + 0*v + 4/3*v**4 + 0*v**2 + a*v**3.
4*v**3*(v + 3)/3
Let t = -7241/646 - -493/38. Suppose -16/17 - 12/17*z**2 - 2/17*z**3 + t*z = 0. Calculate z.
-8, 1
Let u(d) be the first derivative of -77/4*d**2 - 15*d - 1/4*d**4 - 35/6*d**3 - 182. Find x such that u(x) = 0.
-15, -2, -1/2
Let k(o) = o + 31. Let p be k(-21). Suppose 0 = 17*b - 12*b - p. Suppose -3*z**2 - 8*z**b + 20*z + 5*z**2 + 10*z**2 = 0. Calculate z.
-5, 0
Let f(b) be the second derivative of -b**4/54 - 14*b**3/27 + 23*b**2 - b - 1030. Factor f(n).
-2*(n - 9)*(n + 23)/9
Let j(c) be the third derivative of c**6/180 + 3*c**5/5 - c**4/36 - 6*c**3 + 3*c**2 + c + 83. Let j(i) = 0. Calculate i.
-54, -1, 1
Let z be (24/(-33) - 2632/(-3102))/(1 - (-5)/(-11)). Let 338 + 52/3*v + z*v**2 = 0. What is v?
-39
Let y(f) = -11*f**2 + 52*f - 30. Let q(d) = -3*d**2 + 11*d - 8. Let z(b) = 15*q(b) - 4*y(b). Factor z(k).
-k*(k + 43)
Let j(a) = 10*a**4 - 10*a**3 + 2*a**2 + 82*a - 24. Let i(t) = t**4 - t**2 + 6*t - 1. Let n(r) = 12*i(r) - j(r). Suppose n(p) = 0. What is p?
-6, -1, 1
Let c be -14 + (15 + 18 - 17). Suppose -2*x**c - 1/2 - 1/4*x**5 + 7/4*x + 1/2*x**3 + 1/2*x**4 = 0. Calculate x.
-2, 1
Suppose -2*i + 2*r + 12 = 0, 4*r = 2*i - r - 15. Suppose 3*w = 2*x, w + 0*w = i*x. Solve 0*b**2 - 2/5*b**3 + x + 0*b = 0 for b.
0
Let i(h) be the second derivative of h**5/4 - 1185*h**4/4 + 280845*h**3/2 - 66560265*h**2/2 + 95*h - 6. Factor i(j).
5*(j - 237)**3
Let g be ((-97)/2 + 2)/((-78)/676). Let x = g + -1609/4. Determine q so that -1/4*q**3 - x*q + q**2 + 0 = 0.
0, 1, 3
What is x in -204/5*x - 5202/5 - 2/5*x**2 = 0?
-51
Suppose -107*t = -56324 - 172121. Let q = t + -23481/11. Determine a so that 10/11*a + 14/11*a**2 - q = 0.
-1, 2/7
Let j = -67107 + 67107. Solve j - 2*r - 1/2*r**2 = 0.
-4, 0
Let t(h) be the first derivative of 38 - 15/16*h**2 + 9/4*h - 1/8*h**3. Factor t(d).
-3*(d - 1)*(d + 6)/8
Solve -956*l**3 - 238*l + l**4 + 476*l**3 + 474*l**3 - 108*l**2 + 454*l + 2*l**4 = 0.
-6, 0, 2, 6
Let x(z) = 49*z**3 + 443*z**2 + 133*z - 3. Let p(c) = 49*c**3 + 441*c**2 + 134*c - 5. Let f(s) = 6*p(s) - 7*x(s). Factor f(v).
-(v + 9)*(7*v + 1)**2
Let i(d) be the first derivative of -17424*d + 264*d**2 - 4/3*d**3 - 69. Let i(c) = 0. Calculate c.
66
Let k(i) = 2*i**2 - 324*i + 334. Let a(d) = 2*d**2 - 323*d + 331. Let z(b) = -6*a(b) + 5*k(b). Factor z(x).
-2*(x - 158)*(x - 1)
Let c = -15 - -11. Let j be (c + 0)/(2/(-2)). Factor -4 + 18*z**2 - j*z**4 - 10*z**2 + 0.
-4*(z - 1)**2*(z + 1)**2
Let f(s) = 8*s**2 + 4*s - 4. Let c = 36 - 37. Let a(p) = -p**3 - p**2 + p + 1. Let t(q) = c*f(q) - 4*a(q). Factor t(r).
4*r*(r - 2)*(r + 1)
Let b(f) = -f**2 + 27*f - 26. Let t(x) = -x + 1. Suppose 5*q + 2*n + 30 = 0, 0 = -2*q + 3*n - 16 + 4. Let v(a) = q*t(a) + b(a). Factor v(r).
-(r - 32)*(r - 1)
Let k(g) = 2*g**3 - 6*g**2 - 4*g. Let l(h) = h + 2. Let p be l(-7). Let x be p*(-2)/5 + -1. Let u(s) = s**2 + s. Let b(y) = x*k(y) + 4*u(y). Factor b(r).
2*r**2*(r - 1)
Let -28/3 - 2/3*g**3 - 9*g**2 + 1/3*g**4 - 52/3*g = 0. Calculate g.
-2, -1, 7
Suppose -10*y + 4*l = -14*y + 40, 0 = 4*y - l - 5. Let i(g) be the first derivative of -5/3*g**y - 1/4*g**4 + 3*g**2 + 0*g - 16. Find f, given that i(f) = 0.
-6, 0, 1
Let g(n) be the second derivative of 5*n**7/21 + 6*n**6/5 - 34*n**5/5 - 68*n**4/3 + 128*n**3 - 128*n**2 + 90*n - 8. Find h such that g(h) = 0.
-4, 2/5, 2
Let h(u) be the first derivative of u**4/4 + 64*u**3/3 - 1395*u**2/2 + 6642*u - 5686. Solve h(r) = 0 for r.
-82, 9
Solve -84/5*z**4 + 4/5*z**5 + 352/5*z - 156*z**2 + 508/5*z**3 + 0 = 0 for z.
0, 1, 8, 11
Let g(p) be the first derivative of p**7/840 + p**6/15 + 8*p**5/5 + 64*p**4/3 - p**3/3 - p**2 - 8. Let y(a) be the third derivative of g(a). Solve y(w) = 0.
-8
Let g(s) be the second derivative of 23/6*s**4 + 1/21*s**7 + 3*s - 36*s**2 + 47/10*s**5 + 13/15*s**6 - 16*s**3 - 29. Find b, given that g(b) = 0.
-6, -1, 1
Let g(h) be the first derivative of 3*h + 13 - 1/12*h**3 + 1/2*h**2. Find s such that g(s) = 0.
-2, 6
Let c be 40/30 + 8/3. Suppose 0 = -q - 2*q - 2*o + c, -3*o = 3. Factor -3*y**2 - 2*y**2 - q*y**2 + 6*y**2 - 2 + 3*y.
-(y - 2)*(y - 1)
Let y be (-5 + -3 + 8)/3. Suppose y = -8*o + 6 + 10. What is a in 0 - 1/2*a**o + 1/2*a = 0?
0, 1
Let m = 1161 + -1167. Let y(z) = -z**2 - 2*z + 24. Let i be y(m). Factor i + 2*n - 1/2*n**2.
-n*(n - 4)/2
Factor 49*t + 41*t - 22*t + 64*t - 770 - 2*t**2 - 8*t.
-2*(t - 55)*(t - 7)
Let t(x) be the first derivative of -x**4/4 + 37*x**3/6 - 41*x**2/2 + 16*x - 1476. Find w, given that t(w) = 0.
1/2, 2, 16
Let z = -27238 + 27238. Let b = 171 + -508/3. Suppose 15*y + b*y**2 + z = 0. What is y?
-9, 0
Let c be (5 - 11/4)/(9/(-24)). Let w be 14 - c*(-132)/72. Factor -8*u**w + 0*u + 0 - 12/5*u**2 - 32/5*u**4.
-4*u**2*(2*u + 1)*(4*u + 3)/5
Let v(r) be the first derivative of 5 + 0*r**2 + 1/2*r**4 + 0*r + 0*r**3 + 1/5*r**5. Find k, given that v(k) = 0.
-2, 0
What is b in -2/13*b**2 - 1546/13 - 1548/13*b = 0?
-773, -1
Let q(l) be the third derivative of l**7/315 + l**6/30 - 5*l**5/18 + l**4/2 - 4875*l**2. Factor q(c).
2*c*(c - 2)*(c - 1)*(c + 9)/3
Let n(u) be the first derivative of 120*u - 35 + 215/2*u**2 + 95/3*u**3. Let c(p) = 8*p**2 + 18*p + 10. Let y(m) = 35*c(m) - 3*n(m). Factor y(k).
-5*(k + 1)*(k + 2)
Suppose -1036/9*j**2 - 16/3 + 18*j**4 + 10*j**3 + 440/9*j = 0. Calculate j.
-3, 2/9, 2
Let s(q) be the first derivative of -q**6/3 - 2*q**5 - 3*q**4/2 + 6*q**3 - 2782. Factor s(a).
-2*a**2*(a - 1)*(a + 3)**2
Let p(y) = 7*y**4 + 7*y**3 - 2*y**2 + 4*y + 4. Let z(u) = -u**4 - u**3 - u**2 - u - 1. Let g(i) = p(i) + 4*z(i). Determine t so that g(t) = 0.
-2, 0, 1
Let l be 2/(-10) + 110/50 - 0. Let -8*t**3 + 6*t**4 - t + 2013*t**2 + 5*t - 2015*t**l = 0. Calculate t.
-2/3, 0, 1
Let g(p) be the first derivative of p**3/9 - 1384*p**2/3 + 1915456*p/3 + 985. Determine v so that g(v) = 0.
1384
Let i = 3186991 - 15829499/5. Factor -6/5*n**3 + i + 468/5*n**2 - 12168/5*n.
-6*(n - 26)**3/5
Let x be ((-4)/18 + 28 + 38374/(-1386))*33/2. Factor 0 + x*w**4 + 9/4*w**3 + 3/8*w**5 + 3/8*w + 3/2*w**2.
3*w*(w + 1)**4/8
Find b, given that 15488/3 + 3*b**4 - 1595/3*b**3 - 28512*b + 23878*b**2 = 0.
2/9, 1, 88
Let j = -101319 - -1114525/11. Factor -j - 2/11*x**2 - 18/11*x.
-2*(x + 1)*(x + 8)/11
Let q(u) be the first derivative of -2*u**5/25 + u**4/5 + 6581. Determine a so that q(a) = 0.
0, 2
Let l(f) = -4*f**2 - 879*f - 189189. Let w(j) = j**2 + 3*j - 12. Let h(a) = -2*l(a) - 6*w(a). Find k, given that h(k) = 0.
-435
Suppose -376 = 7030534*y - 7030722*y. Let 11/6*a**3 + 32/3 - 6*a**y - 1/6*a**4 + 8/3*a = 0. What is a?
-1, 4
Let j(a) = -a**3 - 7*a**2 - 14*a - 6. Let d be j(-3). Let x be (-11)/(-4) + (-20)/(720/27). Factor -2*p + 1/2*p**3 + d*p**x + 0.
p*(p - 2)*(p + 2)/2
Let s(w) be the first derivative of -2*w**5/55 + 4*w**4/11 - 14*w**3/11 + 18*w**2/11 + 935. Find z, given that s(z) = 0.
0, 2, 3
Let d = -518 - -642. Factor 189*z**3 + 583*z**4 - 8 - 358*z**4 - 24*z**3 - 506*z**2 + d*z.
(z - 1)*(z + 2)*(15*z - 2)**2
Suppose 82 = -5*t - 48. Let c = t - -30. Let -53*p - 4*p**2 + 22*p + 23*p - c = 0. Calculate p.
-1
Let f be 3/((-3)/2)