*4 - k*p**5.
-p*(p - 1)**3*(p + 1)/5
Solve 13*r**2 - 50*r**2 + 900*r + 39*r**2 = 0 for r.
-450, 0
Let t(a) be the third derivative of a**7/1155 - 37*a**6/165 - 15*a**5/11 - 113*a**4/33 - 151*a**3/33 + 1648*a**2. Solve t(g) = 0 for g.
-1, 151
Factor 168*v - 75*v**3 + 188*v**3 + 3*v**4 - 59*v**3 + 1 + 180*v**2 - 1.
3*v*(v + 2)**2*(v + 14)
Suppose 5*y - s = -4*s - 13, -5*s - 1 = -2*y. Let p be ((-5750)/(-69))/(y/(-6)). Factor 2*l**3 - 2*l + 250*l**2 - p*l**2.
2*l*(l - 1)*(l + 1)
Let o(t) be the second derivative of t**6/60 - 91*t**4/8 - 68*t**3/3 + 1594*t. Solve o(g) = 0.
-16, -1, 0, 17
Let d(i) = -17*i**4 - 37*i**3 + 31*i**2 + 29*i - 46. Let x(l) = -2*l**4 - l**3 - 2. Let f(h) = -d(h) + 8*x(h). Factor f(v).
(v - 1)**2*(v + 1)*(v + 30)
Let r(s) be the second derivative of s**6/25 - 6*s**5/25 + s**4/10 + 6*s**3/5 + 2*s - 30. Factor r(n).
6*n*(n - 3)*(n - 2)*(n + 1)/5
Suppose 5*r + 25 = 0, 0 = 3*z + 2*r + 91 - 309. Factor -9*h**2 - z*h**3 + 146*h**3 - 58*h**3 - 3*h**4.
-3*h**2*(h - 3)*(h - 1)
Let n(u) be the first derivative of -u**8/8400 + u**6/1800 - 13*u**3 - 140. Let m(g) be the third derivative of n(g). Let m(t) = 0. Calculate t.
-1, 0, 1
Factor -673920*n + 2/5*n**4 + 17136*n**2 - 691200 - 718/5*n**3.
2*(n - 120)**3*(n + 1)/5
Let z be 3*(-10)/(-252) + (407/(-66))/(-37)*1. Solve -z*r**2 - 8450/7 - 260/7*r = 0 for r.
-65
Let q(t) = t**4 + 7*t**3 + t**2. Let j(f) = 4*f**4 + 21*f**3 - 28*f**2 + 4*f + 44. Let v(s) = -j(s) + 5*q(s). Find c, given that v(c) = 0.
-11, -2, 1
Let p(u) = -u**2 - 23*u + 1430. Let h be p(-51). Factor 10/3*a - 5/3*a**h + 5.
-5*(a - 3)*(a + 1)/3
Let w = 155 - 87. Suppose -w*g + 10 = -66*g. Factor -8*r**2 + 0*r**4 - 10*r**3 - 20*r**4 + 35*r**3 - 2*r**2 + g*r**5.
5*r**2*(r - 2)*(r - 1)**2
Suppose -m + 5*z = 13, 0 = -4*m - 5*z + 5 + 18. Determine c so that 415 - 881 + 427 + 36*c + 3*c**m = 0.
-13, 1
Let u = -1236 + 1241. Suppose -5 = -q, -u*w + q = -w + 5. Find g, given that -5/8*g**3 - 3/8*g**4 + w*g - 1/4*g**2 + 0 = 0.
-1, -2/3, 0
Let h(p) be the first derivative of -2*p**6/3 + 28*p**5 + 112*p**4 + 304*p**3/3 - 1453. Solve h(v) = 0.
-2, -1, 0, 38
Let j(b) = -16*b**2 + 72*b + 976. Let m(i) = i**2 - 20. Let o(q) = 2*j(q) + 36*m(q). Solve o(c) = 0 for c.
-22, -14
Let u = 188 - 184. Determine t so that 0*t**u - 4*t**2 - 107 + 18*t**3 + 0*t**4 + 8*t**4 + 103 - 18*t = 0.
-2, -1, -1/4, 1
Let b = -1/149 + 203/8046. Let k(c) be the second derivative of 35*c - 16/27*c**3 - 64/9*c**2 - b*c**4 + 0. Solve k(s) = 0 for s.
-8
Let i be (-900)/(-250)*1*-5. Let k be (-3)/5 + (8685/(-525) - i). Let k*x**2 + 2/7 + 2/7*x**3 + 6/7*x = 0. What is x?
-1
Let k(v) be the first derivative of -21/8*v**3 + 232 - 9/2*v**2 - 15/32*v**4 - 3/2*v. Factor k(j).
-3*(j + 2)**2*(5*j + 1)/8
Let g(n) be the second derivative of -n**7/252 - n**6/15 - 2*n**5/15 + 7*n**4/12 + 17*n**3/36 - 5*n**2/2 - 23*n - 39. Find i such that g(i) = 0.
-10, -3, -1, 1
Factor -120*p**4 - 303*p**2 + 486*p + 219*p**4 - 152 - 3*p**5 - 40 - 87*p**3.
-3*(p - 32)*(p - 1)**3*(p + 2)
Suppose 3*h + 8*h + 99 = 0. Let y = -7 - h. Factor -11*n - 3*n**y - 2*n**2 + 15 + 2*n - n.
-5*(n - 1)*(n + 3)
Suppose 0 - 9/2*x**4 + 26*x**2 - 6*x + 11/2*x**3 = 0. What is x?
-2, 0, 2/9, 3
Let d = -669 + 512. Let p = d + 159. Solve -1/5*h**p + 4/5 - 3/5*h = 0 for h.
-4, 1
Determine l so that -152/3 - 1/6*l**2 - 35/6*l = 0.
-19, -16
Let v = 25 - 23. Let -17*i**2 + 12*i**v - 16*i**2 + 3*i**3 + 30*i = 0. Calculate i.
0, 2, 5
Let d(g) = -68*g**2 - 31*g - 2. Let c(y) = -339*y**2 - 154*y - 10. Let a(w) = 2*c(w) - 11*d(w). Factor a(q).
(5*q + 2)*(14*q + 1)
Suppose 0 = 15*r - 21*r + 24. Solve -3*q - r*q**2 + 29*q**2 - 4*q**3 + q**3 - 19*q**2 = 0.
0, 1
Factor 0 + 0*w**4 - 2/3*w**5 + 2*w**3 + 0*w - 4/3*w**2.
-2*w**2*(w - 1)**2*(w + 2)/3
Suppose -4*z + d + 53 = 0, -5*z - 4*d = -22 - 60. Suppose -2*j - 10 = -z. Factor -8*k**3 - 18*k**j - 14*k**2 - 6*k**2 - 32*k - 12 + 10*k**2.
-4*(k + 1)**2*(2*k + 3)
Let o(z) be the second derivative of -z**5/20 - 7*z**4/2 - 79*z**3/2 + 140*z**2 + z - 1235. Factor o(u).
-(u - 1)*(u + 8)*(u + 35)
Let s(l) = 3*l - 30. Let h be s(11). Suppose 1 = h*c + x, 3*x = -3*c - 0*x - 9. Factor 0 + 2/5*d**c + 16/5*d.
2*d*(d + 8)/5
Factor 35*a - 11/2 - 123/2*a**2 + 18*a**3.
(3*a - 1)**2*(4*a - 11)/2
Let y(d) be the first derivative of -284/3*d**3 - 150*d**2 - 25*d**4 - 11 - 72*d - 12/5*d**5. Determine o so that y(o) = 0.
-3, -2, -1/3
Let j = 742291/5 - 148458. Factor 36/5*x + 324/5*x**2 + j.
(18*x + 1)**2/5
Let u be (-3360)/(-1260) - 4/(-3). Let b(v) be the second derivative of -3*v + 5/12*v**u + 0 + 25/3*v**3 + 125/2*v**2. Factor b(m).
5*(m + 5)**2
Let p be (-9)/(-15) + 108/45 - ((-30)/21 - -1). Determine t, given that -58/7*t**3 - p*t**4 + 0 - 36/7*t**2 + 0*t - 2/7*t**5 = 0.
-9, -2, -1, 0
Let k = 33596/7 - 167938/35. Suppose -k*x**2 + 24/5 + 2/5*x**3 - 8/5*x = 0. What is x?
-2, 2, 3
Let b = -1/10716 + 14065/2679. Factor -3/4*i**3 - 9/4 - b*i - 15/4*i**2.
-3*(i + 1)**2*(i + 3)/4
Let x(y) be the first derivative of 0*y**2 - 1/6*y**5 + 0*y + 0*y**3 + 1/6*y**4 - 56 + 1/36*y**6. Factor x(n).
n**3*(n - 4)*(n - 1)/6
Let h(u) = -3144*u**2 - 39*u + 3151*u**2 + 5 + 51*u. Let i(q) = -15*q**2 - 24*q - 9. Let r = 11 + -18. Let j(y) = r*h(y) - 3*i(y). Factor j(m).
-4*(m + 1)*(m + 2)
Let s = 563/5892 + -6/491. Let g(t) be the first derivative of -11/36*t**6 + 0*t**2 - s*t**4 + 13/30*t**5 + 0*t - 18 + 0*t**3. Factor g(f).
-f**3*(f - 1)*(11*f - 2)/6
Let o(y) be the second derivative of -2 + 47/6*y**3 + 63*y - 7/12*y**4 + 7*y**2. Suppose o(i) = 0. What is i?
-2/7, 7
Let l(m) be the first derivative of -m**5/12 - 5*m**4/3 - 8*m**2 - 41. Let t(f) be the second derivative of l(f). Find n such that t(n) = 0.
-8, 0
Suppose -1668659*d - 18 = -1668668*d. Factor -14/9*y**d + 10/3*y - 4/9.
-2*(y - 2)*(7*y - 1)/9
What is d in -1/5*d**4 + 29*d**3 - 5463/5*d**2 + 2911*d + 20164/5 = 0?
-1, 4, 71
Let y(h) = -42043*h - 210213. Let g be y(-5). Factor -66/5*l + 2/5*l**g + 0.
2*l*(l - 33)/5
Let k(o) be the third derivative of o**7/105 - 11*o**6/60 - 68*o**5/15 - 76*o**4/3 + o**2 + o + 1. Determine g so that k(g) = 0.
-4, 0, 19
Let r = -145036 + 1885766/13. Factor 14/13*v**2 - r*v + 84/13.
2*(v - 21)*(7*v - 2)/13
Suppose 3*m - 9*m = 7*m - 21*m - 54*m. Factor 0 + m*c**2 + 3/4*c**5 + 3/2*c**4 + 0*c + 0*c**3.
3*c**4*(c + 2)/4
Let a = -113619/40 + 14208/5. Let v(u) = -u + 4. Let l be v(4). Determine t so that -3/8*t**3 - 3/4*t + l + a*t**2 = 0.
0, 1, 2
Solve -364/3 + 5/3*y**2 - 451/3*y = 0.
-4/5, 91
Suppose -4 + 16 = 2*r. Let s(x) = -35*x - 28. Let l be s(-5). Factor r*w**2 - l*w**3 - w + w + 150*w**3.
3*w**2*(w + 2)
Let s(t) be the third derivative of t**7/280 - t**6/40 - t**5/10 - 55*t**3/6 - t**2 + 11*t. Let y(v) be the first derivative of s(v). Solve y(j) = 0.
-1, 0, 4
Let o(d) be the second derivative of d**6/10 + 18*d**5/5 + 85*d**4/4 + 51*d**3 + 60*d**2 - 10*d - 83. Find g, given that o(g) = 0.
-20, -2, -1
Let z(m) be the first derivative of -2*m**3/3 - 4312*m**2 - 9296672*m + 12921. Factor z(r).
-2*(r + 2156)**2
Let g(j) = j**3 - j**2 - j + 1. Let k(v) = 10*v**3 + 643*v**2 + 380*v - 253. Let n(u) = -5*g(u) + k(u). Factor n(m).
(m + 1)*(m + 129)*(5*m - 2)
Let n(c) be the second derivative of -c**6/10 + 3*c**5 - 11*c**4/4 - 82*c**3 + 342*c**2 - 2*c + 6935. Solve n(m) = 0 for m.
-3, 2, 19
Let a(v) = -6*v**2 + 2*v + 2. Let g(f) = 26*f**2 - 9*f + 111 + 113 - 233. Let b(k) = 18*a(k) + 4*g(k). Factor b(l).
-4*l**2
Let z(u) = -15*u**3 - 55*u**2 + 120*u - 64. Let k(y) = 68*y**3 + 248*y**2 - 540*y + 288. Let h(t) = -7*k(t) - 32*z(t). Factor h(g).
4*(g - 1)**2*(g + 8)
Let g = 29 + -27. Let a(c) = 9*c + 7*c**g + 8 + c - 8 - 5. Let j(w) = 8*w**2 + 10*w - 4. Let v(y) = -3*a(y) + 4*j(y). Suppose v(r) = 0. What is r?
-1, 1/11
Let q = 109 + -105. Factor -12*r**2 + 12*r**5 - 6*r - 3*r + 45*r**q + 9*r + 36*r**3.
3*r**2*(r + 2)**2*(4*r - 1)
Let a(o) = o**2 + 176*o - 535. Let w be a(3). Let x(p) be the first derivative of 32/39*p**3 - 4 + 9/26*p**4 + 0*p - 4/13*p**w. Factor x(v).
2*v*(v + 2)*(9*v - 2)/13
Let s(q) be the second derivative of -q**5/4 - 5*q**4 - 40*q**3 - 160*q**2 - 580*q. Factor s(u).
-5*(u + 4)**3
What is b in 0 - 929/4*b + 1/8*b**2 = 0?
0, 1858
Let i(b) be the first derivative of 1/6*b**3 + 0*b**2 + 1/80*b**5 + 5/48*b**4 + 24*b - 22. Le