6/13*p**2.
-2*p*(p - 1)*(2*p + 1)**2/13
Suppose -5*v + 3*f + 18 = -0*v, -2 = -v - f. Let i be (-1 + (-8)/(-6))*0/41. Solve 8/5*w**2 - 2/5*w**4 - 8/5*w + 2/5*w**v + i = 0 for w.
-2, 0, 1, 2
Factor 244/7*l + 3/7*l**2 + 81/7.
(l + 81)*(3*l + 1)/7
Let l(c) = -4*c**2 + 2. Let o(i) = 5*i**2 + 6954*i + 2774. Let q(z) = 5*l(z) + o(z). Factor q(n).
-3*(n - 464)*(5*n + 2)
Suppose -4*y + 11 = 3. Let i = -376 + 379. Factor i*n**3 + 5*n**2 + n**2 - y*n**4 + 3*n**4 - 3*n**2 + n.
n*(n + 1)**3
Factor 7350 + 2/3*v**4 + 152/3*v**3 + 3308/3*v**2 + 5320*v.
2*(v + 3)**2*(v + 35)**2/3
Let b(a) be the second derivative of -a**4/12 + 229*a**3 - 471969*a**2/2 + 1645*a. Factor b(v).
-(v - 687)**2
Let z(y) be the third derivative of y**5/140 - 9*y**4/28 - 9*y**3/2 + 343*y**2 + 2*y - 2. Factor z(j).
3*(j - 21)*(j + 3)/7
Suppose -47*u = -61*u + 33180. Let -180*s**4 + 29585*s**2 + 452*s**4 + u*s**3 - 227*s**4 - 42660*s + 14580 = 0. Calculate s.
-27, 2/3
Let o(u) = 5*u**2 - 120*u - 35. Let m(z) = -z**3 + 12*z**2 - 9*z - 23. Let d be m(11). Let f(y) = y + 4. Let i(g) = d*o(g) + 30*f(g). Factor i(j).
-5*(j - 31)*(j + 1)
Let h(x) = 2*x**2 + 58*x - 43. Let u be h(-31). Suppose -26*b - b = -u. Factor 1/3*f**4 - 4/3*f**2 + 2/3*f + 1 - 2/3*f**b.
(f - 3)*(f - 1)*(f + 1)**2/3
Let i(r) be the third derivative of r**5/300 + 29*r**4/30 + 113*r**3/10 - 747*r**2. Solve i(s) = 0 for s.
-113, -3
Let x(t) = -2*t**2 - 59634*t + 44880124. Let g(r) = r**2 + 23851*r - 17952050. Let l(v) = 22*g(v) + 9*x(v). Factor l(b).
4*(b - 1498)**2
Let z(t) be the first derivative of -t**6/360 + 8*t**5/15 - 128*t**4/3 + t**3/3 - 91*t + 283. Let r(a) be the third derivative of z(a). Factor r(d).
-(d - 32)**2
Let v = 35 + -31. Suppose -v*z + 12 = 0, -2*d = 5*z - 2 - 61. Find t such that 14*t**4 - 22*t**2 + 10 - 24*t**3 + d*t - 17 + 15 = 0.
-1, -2/7, 1, 2
Let v(p) be the second derivative of p**6/75 + 7*p**5/25 + 59*p**4/30 + 94*p**3/15 + 48*p**2/5 + 40*p + 19. What is q in v(q) = 0?
-8, -3, -2, -1
Let r be 1 + 12 + -8 + 4. Let p(f) = -13*f**2 + 18*f + 18. Let g(y) = 3*y**2 - 5*y - 4. Let m(b) = r*g(b) + 2*p(b). Factor m(l).
l*(l - 9)
Suppose -5*z + 84 = 2*z. Suppose 7*g - z = 2. Factor 1 + 2*q**4 - 32*q**2 + 2*q**4 + 24*q**g + 3.
4*(q - 1)**2*(q + 1)**2
Let f(p) = -123*p**2 - 1449*p + 329. Let z be f(-12). Let 8/7*y**2 - 8/21*y**3 + 0*y - 2/7*y**z + 0 - 38/21*y**4 = 0. Calculate y.
-6, -1, 0, 2/3
Suppose -917*f - 80 = -937*f. Factor 2/3*n**2 + 4/3*n - 4/3*n**3 - 2/3*n**f + 0.
-2*n*(n - 1)*(n + 1)*(n + 2)/3
Let s be 3 - (87/10)/((-450)/(-125)). Let b(q) be the second derivative of -18*q + s*q**3 - 1/48*q**4 - 49/8*q**2 + 0. Solve b(y) = 0.
7
Let t be 7 + 2 - (10 + 63/(-6) - -5). Let -t*h**2 - 7/8*h**4 - 15/4*h**3 + 0 - h = 0. Calculate h.
-2, -2/7, 0
Factor 88*n - 24*n**2 + 8*n - 26*n**2 + 3*n**3 - 4*n**2.
3*n*(n - 16)*(n - 2)
Let u(h) be the first derivative of 6*h**2 - 176*h - 5. Let k be u(15). Suppose 1/7*i**k + 1/7 + 4/7*i + 4/7*i**3 + 6/7*i**2 = 0. What is i?
-1
Let i(g) be the first derivative of 79 + 0*g - 2/25*g**5 + 22/15*g**3 + 6/5*g**2 + 2/5*g**4. Find x such that i(x) = 0.
-1, 0, 6
Let r(i) be the first derivative of i**3/9 - 2*i**2 - 13*i/3 + 434. Factor r(t).
(t - 13)*(t + 1)/3
Let b be -40 + 7/((-21)/(-30)). Let m(z) = -2*z**3 - 61*z**2 - 33*z - 87. Let l be m(b). Factor -36/7 + 120/7*f + l*f**2.
3*(f + 6)*(7*f - 2)/7
Let f(v) be the second derivative of 0 - 3*v**2 + 1/2*v**4 - 1/20*v**5 + 127*v + 1/6*v**3. Factor f(g).
-(g - 6)*(g - 1)*(g + 1)
Find x such that -160/13*x + 2/13*x**4 - 192/13 + 60/13*x**2 + 30/13*x**3 = 0.
-12, -4, -1, 2
Let j(y) be the second derivative of y + 1/10*y**6 + 4*y**3 - 3/2*y**4 - 2 - 9/20*y**5 + 0*y**2. What is i in j(i) = 0?
-2, 0, 1, 4
Let l(x) = -40*x**3 - 2700*x**2 - 303716*x + 17. Let q(s) = -7*s**3 - 450*s**2 - 50619*s + 3. Let c(i) = -3*l(i) + 17*q(i). Factor c(h).
h*(h + 225)**2
Let d(x) be the first derivative of 89373*x + 141/2*x**4 + 49011*x**2 + 3/5*x**5 + 2976*x**3 - 127. Solve d(k) = 0 for k.
-31, -1
Factor 16/3*j**4 + 40/3*j**3 + 0*j + 0 + 2/3*j**5 + 32/3*j**2.
2*j**2*(j + 2)**2*(j + 4)/3
Let c be -2 + 4 + 2/((60/35)/(-1)). Factor 1/6*l**2 - c + 2/3*l.
(l - 1)*(l + 5)/6
Factor 787*k - 736*k + k**2 + 0*k**2 + 144.
(k + 3)*(k + 48)
Let g(d) be the first derivative of -8*d**4 + 116*d**3/3 + 104*d**2 + 60*d + 1446. Factor g(l).
-4*(l - 5)*(l + 1)*(8*l + 3)
Let g = -223 - -2909/13. Let w(t) = 32*t. Let y be w(0). Solve -g*f**3 + 0*f + 4/13*f**4 + 4/13*f**2 + y = 0.
0, 1/2, 2
Let j(s) be the third derivative of s**8/1344 + 5*s**7/168 + 39*s**6/80 + 497*s**5/120 + 1813*s**4/96 + 343*s**3/8 - 1167*s**2 + 1. Solve j(t) = 0 for t.
-7, -3, -1
Let j(p) be the third derivative of p**8/70560 - p**7/1260 + 13*p**6/2520 + p**5/30 + 5*p**3/3 - 19*p**2. Let f(x) be the third derivative of j(x). Factor f(q).
2*(q - 13)*(q - 1)/7
Let h(m) be the third derivative of 15*m**2 - 1/42*m**8 + 0*m - 1/3*m**3 + 0*m**7 + 0 + 1/30*m**5 - 1/4*m**4 + 7/60*m**6. Determine c, given that h(c) = 0.
-1, -1/2, 1
Let c(z) be the second derivative of z**5/20 - 25*z**4/12 + 203*z**3/6 - 539*z**2/2 - 12*z - 20. What is y in c(y) = 0?
7, 11
Let w(m) = -12*m**2 - 20*m + 1952. Let n(f) = 11*f**2 + 20*f - 1956. Let r(d) = 7*n(d) + 6*w(d). Factor r(s).
5*(s - 18)*(s + 22)
Let k(d) be the first derivative of -d**5/5 - 99*d**4/2 - 260*d**3 - 388*d**2 + 3790. Factor k(b).
-b*(b + 2)**2*(b + 194)
Let n be 4/(3 + -2 + 1). Suppose 11 = -2*h - h + 5*p, -10 = n*h - 4*p. Factor 8 - h*l**2 - 60*l + 28*l + 30*l**3 + 13*l**2 + 20*l**3.
2*(l + 1)*(5*l - 2)**2
Solve -400 + 412*j + 85*j**3 - 189*j + 20*j**4 - 5*j**5 - 160*j**2 - 843*j = 0 for j.
-2, -1, 4, 5
Let v be 21/1 - 10/(1040/1924). Suppose 15/2*p**2 + 405/2 - v*p**3 + 225/2*p = 0. Calculate p.
-3, 9
Let j(m) = 6*m**3 - 6*m**2 - m + 11. Let w be j(5). Suppose -614 = -4*n - 5*d, 0*d = -4*n - d + w. Let 151*z - 5*z**2 - n*z - 10*z**3 - 5*z**4 = 0. Calculate z.
-1, 0
Let g be 56782/132 - (-2)/24*-2. Let i = g + -420. Factor i + 0*y - 5/2*y**2.
-5*(y - 2)*(y + 2)/2
Let f(z) be the third derivative of -z**5/240 + 19*z**4/96 + 7*z**3/4 + 1590*z**2 - 2. Factor f(d).
-(d - 21)*(d + 2)/4
Factor 13/5*t - 1/5*t**2 - 8.
-(t - 8)*(t - 5)/5
Let w(a) be the first derivative of -a**4/10 - 22*a**3/5 - 171*a**2/5 - 486*a/5 + 1010. Factor w(b).
-2*(b + 3)**2*(b + 27)/5
Let v(o) be the first derivative of -o**6/30 + o**5/3 + o**4 - 8*o**2 - 20. Let p(w) be the second derivative of v(w). Determine s so that p(s) = 0.
-1, 0, 6
Suppose -5*g + 7*r - 8*r + 26 = 0, g - 5*r = 0. Factor 2*t**4 - 6*t**4 + g*t**4 - 32*t + 12*t**2 + 16 + 8*t**3 - 5*t**4.
-4*(t - 2)*(t - 1)**2*(t + 2)
What is x in -13*x**2 - 1/5*x**3 - 2883/5 - 1147/5*x = 0?
-31, -3
Let q be (99/(-12))/(4*9/(-192)). Suppose -g**4 + 194 - 14*g - 240*g**2 + 60 - g**4 - 30*g + q*g**3 - 12 = 0. Calculate g.
-1, 1, 11
Suppose 0 = p + 2*p - w - 10, 4*p + 4 = -3*w. Factor p*f**2 + 11 + 7*f - 6*f**2 - 59*f - 59.
-4*(f + 1)*(f + 12)
Let l(t) be the first derivative of 404/3*t**3 + 69 + 112/5*t**5 + 102*t**4 - 16/3*t**6 + 24*t + 82*t**2. Suppose l(g) = 0. What is g?
-1, -1/2, 6
Let a(y) = y**2 - 4*y - 28. Let i be a(0). Let n be 630/i*(-6)/10. Factor -n - 3/2*f**2 - 9*f.
-3*(f + 3)**2/2
Suppose -127 = 2*l - 62 - 65. Let d(n) be the third derivative of 0*n**4 + l + 1/320*n**6 + 1/80*n**5 + 0*n + 14*n**2 + 0*n**3. Factor d(h).
3*h**2*(h + 2)/8
Suppose 11 = -17*u + 6*u. Let d be 3/u + -1 - 1496/(-340). Factor 1/5*b**2 - 3/5 + d*b.
(b - 1)*(b + 3)/5
Let u(t) = t**2 + 16*t - 59. Let l be u(4). Determine w, given that -109*w**2 + 16 - l*w + 134*w**3 - 247*w**4 - 5*w + 232*w**4 = 0.
-2/5, 1/3, 1, 8
Determine x so that 595*x + 0*x**4 + 147 - 14316*x**3 + 2*x**5 + 14301*x**3 + 605*x**2 + 2*x**5 - 40*x**4 = 0.
-3, -1/2, 7
Let g be (-1)/(-5) - (-594)/495 - (-69)/115. Determine n, given that 0*n + 8/7*n**g + 0*n**3 - 20/7*n**5 + 0 - 6*n**4 = 0.
-2, -1/2, 0, 2/5
Let v(r) be the second derivative of 64*r**2 - 1/10*r**5 - 80/3*r**3 + 65*r + 17/6*r**4 + 0. Determine z, given that v(z) = 0.
1, 8
Let w = -132 + 156. Factor -31759 - w*k**2 + 31759 - 48*k - 3*k**3.
-3*k*(k + 4)**2
Let d(r) be the first derivative of r**6/24 - r**5/4 + r**4/16 + 7*r**3/4 - 9*r**2/4 - 2439. Let d(p) = 0. What is p?
-2, 0, 1, 3
Let k(m) be the second derivative of 