 be the second derivative of -15/2*h**2 - 1/150*h**5 + 0 - 19*h - 1/15*h**3 - 1/30*h**4. Let y(w) be the first derivative of p(w). Factor y(a).
-2*(a + 1)**2/5
Let m = 62 + -29. Suppose -2*d + 45 - m = 0. Factor 15*l**3 + 9*l - 2*l**4 + 21*l**2 + d*l**4 + 0*l**4 - l**4.
3*l*(l + 1)**2*(l + 3)
Let -4*s**4 - 88*s**3 - 232*s**2 - 10768 - 240*s + 11004 + 328*s**3 = 0. Calculate s.
-1, 1, 59
Suppose -x + 2*v + 14 = 0, -30*x + 14 = -26*x - v. Let 9*f + 1/2*f**x + 16 = 0. Calculate f.
-16, -2
Let d(h) = 5*h**2 - 11*h - 3. Let y(s) be the first derivative of -s**3/3 + s**2/2 + s - 147. Let o(u) = 2*d(u) + 6*y(u). Solve o(z) = 0.
0, 4
Suppose 656*u = 1119*u - 1389. Determine z so that -4 + 3/2*z**2 - 3*z + 1/2*z**u = 0.
-4, -1, 2
Suppose 3*m + 2*u - 413 = 0, 0*u = 4*m - 2*u - 532. Let j = m + -249/2. Find f such that -9/2*f**5 + 0 + 6*f**4 + j*f**3 - 6*f - 6*f**2 = 0.
-1, -2/3, 0, 1, 2
Let g be -8 + (0 - -3 - 2). Let i be 8/28 - 12/g. Factor 43 + 5*v**i - 43 - 5*v.
5*v*(v - 1)
Let t(p) = p**3 + 105*p**2 - 102*p + 16. Let x(z) = 2*z**3 + 104*z**2 - 100*z + 24. Let h(j) = 3*t(j) - 2*x(j). Determine b, given that h(b) = 0.
0, 1, 106
Find q such that 28 - 1/4*q**4 + 1/2*q**3 + 39/4*q**2 - 38*q = 0.
-7, 1, 4
Let k(b) be the first derivative of -b**8/420 - b**7/70 + b**6/90 + b**5/10 - 2*b**3/3 + 27*b**2/2 - 200. Let p(n) be the third derivative of k(n). Factor p(i).
-4*i*(i - 1)*(i + 1)*(i + 3)
Let n(u) be the first derivative of u**4/20 - u**3/10 + 165*u - 343. Let v(p) be the first derivative of n(p). Let v(t) = 0. Calculate t.
0, 1
Let l(t) be the third derivative of 5*t**8/1344 + 5*t**7/84 + 17*t**6/48 + 3*t**5/4 - 45*t**4/32 - 45*t**3/4 + 860*t**2. Find c such that l(c) = 0.
-3, -2, 1
Let x be -25*(-58)/2175 - 0/(-6). Solve 2/3*k + 1/6*k**2 + x = 0 for k.
-2
Let r be (-369)/(-16) + 174/(-2784). Let c(k) be the second derivative of -1/6*k**6 + 5/6*k**3 - 5/4*k**4 + r*k + 3/4*k**5 + 0 + 0*k**2. Factor c(a).
-5*a*(a - 1)**3
Let j(s) = 9*s**3 + 626*s**2 + 1275*s + 623. Let b(m) = 8*m**3 + 628*m**2 + 1272*m + 624. Let v(p) = -5*b(p) + 4*j(p). Let v(f) = 0. Calculate f.
-157, -1
Let t(g) = -35*g - 345. Let d be t(-10). Let p be (5/40)/(d/40). Find y such that p + y + 1/4*y**2 = 0.
-2
Let t(q) = -13*q - 57. Let l be t(-6). Factor -60*m**4 - 5*m**2 + 65*m**4 + m**3 + 19*m - l*m**3 + m.
5*m*(m - 4)*(m - 1)*(m + 1)
Let o(k) be the second derivative of 0 + 0*k**3 + 9*k**2 - 7*k + 1/12*k**5 + 25/24*k**4. Let y(a) be the first derivative of o(a). Factor y(j).
5*j*(j + 5)
Let s(l) = -6*l**2 - 18*l - 52. Let q(h) = -h**2 - 3*h - 8. Suppose -5 + 31 = -o - 5*w, -26 = 5*o - w. Let p(d) = o*s(d) + 39*q(d). Find f, given that p(f) = 0.
-3, 0
Let h = -159 - 147. Let v be h/1173*(-2)/6. Factor 0 - v*k**2 + 4/23*k.
-2*k*(k - 2)/23
Let y(t) = 34*t**2 + 604*t - 43856. Let f(w) = -3*w**2 - w + 4. Let n(c) = -12*f(c) - y(c). Suppose n(p) = 0. Calculate p.
148
Let r(b) be the third derivative of -b**8/168 + 4*b**7/15 + 6*b**6/5 - 187*b**5/15 + 425*b**4/12 - 50*b**3 + 1936*b**2. Factor r(l).
-2*(l - 30)*(l - 1)**3*(l + 5)
Let l(c) be the first derivative of -3*c**4/4 + 78*c**3 + 3825*c**2/2 + 3588*c - 5351. Find f, given that l(f) = 0.
-13, -1, 92
Let m = 153 - 146. Factor 4*n**2 - 504 + 464 + 24*n - m*n + 19*n.
4*(n - 1)*(n + 10)
Let a(f) = 5*f**2 - 11*f + 16. Let y(g) = -7*g**2 + 12*g - 15. Let m be ((-52)/(-91))/((-6)/21). Let s(x) = m*y(x) - 3*a(x). Factor s(u).
-(u - 6)*(u - 3)
Suppose -2*a - 3*v + 16 = 0, -a + 2*a + 5*v = 22. Factor 0*i**5 + 15*i**3 - 12*i**3 + 29*i**3 - 16*i**4 + a*i**5.
2*i**3*(i - 4)**2
Let w(c) = -5*c - 141. Let g(u) = -u**3 - 9*u**2 - 8*u + 1. Let h be g(-3). Let q be w(h). Let 3/4*v**q + 9*v**2 - 6*v + 0 - 9/2*v**3 = 0. Calculate v.
0, 2
Let x(h) be the first derivative of -h**4/8 - 157*h**3/12 + 10*h**2 + 79*h/4 + 1571. Factor x(a).
-(a - 1)*(a + 79)*(2*a + 1)/4
Let k be 52/78*(-9)/(-2). Let u(d) be the third derivative of 1/120*d**6 + 0*d**4 + 0 + 0*d - 2/3*d**k + 10*d**2 + 1/20*d**5. Factor u(n).
(n - 1)*(n + 2)**2
Suppose 141*f - 146 = 139*f. Let w = -70 + f. Factor -5*v**w - 25*v**2 + 27*v**2 - 2*v**5 + 2*v**5 + 4*v**4 - v**5.
-v**2*(v - 2)*(v - 1)**2
Let j(y) be the second derivative of 1/9*y**3 - 2*y - 1/2*y**4 - 1/30*y**5 - 8 + 3*y**2. Factor j(p).
-2*(p - 1)*(p + 1)*(p + 9)/3
Let x(d) be the third derivative of -d**5/120 + 241*d**4/48 + 2*d**2 - 9*d + 2. Factor x(g).
-g*(g - 241)/2
Let t(m) be the second derivative of -44*m + 1/2*m**2 + 1/21*m**4 + 0 + 11/42*m**3. Factor t(x).
(x + 1)*(4*x + 7)/7
Let h be (-2 + 6 - 12)*(-253)/(-22). Let k = h + 95. Solve 1/6*j**4 - 1/3*j**2 + 0*j - 1/6*j**k + 0 = 0 for j.
-1, 0, 2
Let u = -161145 + 161147. Find i such that -1/2*i**4 + u*i**3 + 0 + i - 5/2*i**2 = 0.
0, 1, 2
Suppose 5*y - 6 + 4 = 23. Let p(n) be the second derivative of -1/100*n**y + 1/60*n**4 + 0*n**2 - 3*n + 0 + 1/15*n**3. Factor p(r).
-r*(r - 2)*(r + 1)/5
Suppose 0 = -s - 61 + 63. Factor 46*f**2 - 94*f**s + 2*f**3 + 42*f**2.
2*f**2*(f - 3)
Let q(k) be the third derivative of k**6/180 + k**5/10 - 9*k**4/4 + 85*k**3/6 + 59*k**2. Let r(h) be the first derivative of q(h). Factor r(m).
2*(m - 3)*(m + 9)
Let d be (9/(-6))/(2/4*-1). Let s(r) = 140*r + 9. Let m be s(d). Factor 29*l + 354 + l - m - 3*l**2.
-3*(l - 5)**2
Let s(a) = 3*a**3 - 39*a**2 - 268*a + 99. Let c(u) = 2*u**3 - 38*u**2 - 268*u + 90. Let l(v) = 5*c(v) - 6*s(v). Solve l(h) = 0 for h.
-4, 1/2, 9
Suppose -1/4*g**3 + 527/2*g**2 + 263 - 2105/4*g = 0. What is g?
1, 1052
Let y(m) be the second derivative of -m**7/21 + 3*m**6/10 - m**5/5 - 542*m. Let y(v) = 0. What is v?
0, 1/2, 4
Let k(l) = -6*l + 257. Let n be k(38). What is p in -107*p**3 - 2*p**5 - 74*p**2 - 22*p**4 + p - n*p + 41*p**3 = 0?
-7, -2, -1, 0
Determine u, given that 15606640/3*u - 1635560/3*u**2 + 4/3*u**5 + 56740/3*u**3 - 46712288/3 - 800/3*u**4 = 0.
7, 62
Suppose 4*h = -h - 0*h. Suppose -18 = -5*a + b, -a + 3*b + 12 = -h*a. Factor -219*d**2 + 213*d**2 + 3*d**5 + 13*d**a + 2*d**3 - 12*d**4.
3*d**2*(d - 2)*(d - 1)**2
Let t(a) = 2*a**4 + a**3 - 2*a**2 - 2*a - 2. Let m(h) = -6*h**4 - 5218*h**3 - 5101244*h**2 - 2217342460*h - 361426821628. Let p(g) = m(g) + 2*t(g). Factor p(j).
-2*(j + 652)**4
Let y = 2/421 + 5459/2947. Let u = 2636 - 18404/7. Factor -1/7*p**3 - u*p - y*p**2 - 36/7.
-(p + 1)*(p + 6)**2/7
Solve 315/4 - 123/8*q - 51/4*q**2 + 3/8*q**3 = 0 for q.
-3, 2, 35
What is z in 5*z**4 - 48*z**3 - 40*z**2 + 2314 - z**4 - 392*z**2 - 2314 = 0?
-6, 0, 18
Let m be 0/(-8 - (-11 + 2)). Let q be (m - 0)*(-3 - 5/(-2)). Factor 0*l**2 + 0*l + q - 4/7*l**3 + 2/7*l**4.
2*l**3*(l - 2)/7
Suppose 4*m + 6 + 14 = 0. Let u be 3 + m/2 + (-6)/(-4). Let -7*h**2 + 7*h - 21*h**4 + 28*h**u - 6*h**3 - h = 0. What is h?
-1, -2/7, 0, 1
Let p(h) be the second derivative of -7/13*h**3 + 1 + 1/78*h**4 + 38/13*h**2 - 46*h. Factor p(t).
2*(t - 19)*(t - 2)/13
Let v(s) = -59*s**2 + 1465*s - 5. Let g(r) = 24*r**2 - 732*r + 2. Let q(u) = 10*g(u) + 4*v(u). Let q(n) = 0. Calculate n.
0, 365
Determine o, given that 160/7 - 2/7*o**3 - 202/7*o + 44/7*o**2 = 0.
1, 5, 16
Suppose -4*a + 8*a = 3*w + 60, -4*w + 20 = 3*a. Solve -8 + 0 - 6*r**2 + 4*r**2 - 2*r**2 - a*r = 0.
-2, -1
Let d(t) be the second derivative of t**6/165 + 16*t**5/55 - 179*t**4/66 + 74*t**3/11 + 7824*t. Find q, given that d(q) = 0.
-37, 0, 2, 3
Let w(h) be the first derivative of 2*h**5/25 + 23*h**4/10 - 206*h**3/15 + 133*h**2/5 - 108*h/5 - 2228. What is t in w(t) = 0?
-27, 1, 2
Let a(x) be the third derivative of 0 + 1/15*x**5 + 0*x + 722/3*x**3 - 56*x**2 + 19/3*x**4. Factor a(c).
4*(c + 19)**2
Determine w, given that 2/3*w**2 - 676/3 - 26/3*w = 0.
-13, 26
Let w be (-835440)/(-1680)*1*28/36. Factor -118/9*l + 1/9*l**2 + w.
(l - 59)**2/9
Let i be 309/172 - (-5140)/(-110510). Factor 5/4*r**2 + 13/4*r + i - 1/4*r**3.
-(r - 7)*(r + 1)**2/4
Let l(o) be the third derivative of -o**6/720 + o**5/45 + 5*o**4/36 - 289*o**2. Solve l(j) = 0 for j.
-2, 0, 10
Let h(u) = u**2 + 823*u - 804. Let g(r) = -r**2 - 409*r + 402. Let b(k) = -5*g(k) - 2*h(k). Factor b(z).
3*(z - 1)*(z + 134)
Let k(b) be the first derivative of -5/24*b**6 + 9/10*b**5 + 34/3*b**3 + 7/2*b + 49/8*b**4 + 70 + 75/8*b**2. Suppose k(w) = 0. Calculate w.
-1, -2/5, 7
Factor -7/4*x + x**2 + 0.
x*(4*x - 7)/4
Let p be (13 + 40/(-8))/(-2). Let x(w) 