ctor -1027 - 20*c**i - 2*c + 1035 + 14*c.
-4*(c - 1)*(5*c + 2)
Let o(w) be the second derivative of w**5/70 - 53*w**4/42 + 34*w**3/7 + 2*w - 89. Suppose o(t) = 0. Calculate t.
0, 2, 51
Factor 4/9 - 2186/9*p + 99736/3*p**2 - 16562*p**3.
-2*(p - 2)*(273*p - 1)**2/9
Let o = -16676 + 16679. Let a(g) be the third derivative of 0*g + 49/36*g**4 + 8/315*g**7 - 343/9*g**o + 0 + 19/45*g**6 - 5*g**2 + 7/3*g**5. Factor a(z).
2*(z - 1)*(2*z + 7)**3/3
Let z(h) be the first derivative of 3*h**5/5 + 15*h**4/2 - 108*h**3 + 273*h**2 - 255*h - 1822. Find n, given that z(n) = 0.
-17, 1, 5
Factor -16/9*j**3 - 1/9*j**4 - 7*j**2 + 16/9*j + 64/9.
-(j - 1)*(j + 1)*(j + 8)**2/9
Let p(f) be the second derivative of -16/5*f**2 + 4/3*f**3 + 3*f - 1/5*f**4 + 16. What is v in p(v) = 0?
4/3, 2
Let o(a) be the first derivative of 3*a**4/4 - 97*a**3 + 3600*a**2 - 6912*a + 1157. Suppose o(p) = 0. What is p?
1, 48
Let z(a) be the first derivative of a**4/4 + 56*a**3/3 + 637*a**2/2 + 2058*a + 927. Suppose z(y) = 0. What is y?
-42, -7
Let a(u) be the third derivative of u**5/270 + 13*u**4/54 + 25*u**3/27 + 1494*u**2. Factor a(d).
2*(d + 1)*(d + 25)/9
Let a(t) be the third derivative of -t**5/15 - 179*t**4/6 - 352*t**3 - 7*t**2 + 57*t. Suppose a(m) = 0. What is m?
-176, -3
Let i = -45 + 59. Let c = 16 - i. Find f such that 4*f**2 - 5*f**5 + c*f**4 + 7*f**3 - 8*f**2 - 2*f**3 + 2*f**2 = 0.
-1, 0, 2/5, 1
Let i = 109 - -13. Let o = 124 - i. Factor -6*v**4 + 62*v**3 + 80*v**o + 2*v**3 + 6*v**4 + 4*v**4 - 4*v**5.
-4*v**2*(v - 5)*(v + 2)**2
Let v(t) be the first derivative of t**5/30 + 17*t**4/6 + 107*t**3/6 + 63*t**2/2 - 3027. Factor v(m).
m*(m + 2)*(m + 3)*(m + 63)/6
Let m(n) be the first derivative of -126 + 3/5*n**5 - 1/6*n**6 + n**2 - 1/4*n**4 + 0*n - n**3. Factor m(p).
-p*(p - 2)*(p - 1)**2*(p + 1)
Let i(s) be the first derivative of -5*s**6/3 + 23*s**5 - 145*s**4/4 - 65*s**3/3 + 155*s**2/2 - 50*s + 10302. Let i(m) = 0. Calculate m.
-1, 1/2, 1, 10
Suppose 1280*o + 4*i = 1283*o - 8, -5*o = -4*i - 8. Factor o*r**2 + 2/3*r**4 + 2*r**3 + 0 - 8/3*r.
2*r*(r - 1)*(r + 2)**2/3
Let a(r) be the first derivative of r**4/10 + 98*r**3/15 + 524*r**2/5 + 952*r/5 + 4413. Factor a(f).
2*(f + 1)*(f + 14)*(f + 34)/5
Suppose -9*f = -4*c - 11*f + 42, 13*c + 5*f = 114. Factor -8/19 + 18/19*p + 2/19*p**c - 12/19*p**2.
2*(p - 4)*(p - 1)**2/19
Let q be (-207)/(-6) + 2/(-4). Suppose -6 = q*j - 6. Factor 0 + j*b**4 - 2/3*b**3 - 8/9*b**2 - 1/3*b + 1/9*b**5.
b*(b - 3)*(b + 1)**3/9
Let k(z) be the second derivative of -z**5/25 - 5*z**4 - 3*z + 464. Factor k(o).
-4*o**2*(o + 75)/5
Let p(i) be the second derivative of 19*i**6/3 - 283*i**5/10 + 93*i**4/2 - 89*i**3/3 - 2*i**2 - 2001*i. Determine j, given that p(j) = 0.
-2/95, 1
Let s be -4*12/(-10) + 12/60. Let 4*k**5 - k**4 + 5*k**5 - 8*k**s = 0. What is k?
0, 1
Let m be 0 - (-30)/((-30)/5). Let u be (8 - 48/7)/(m/(-7)). Let u*z**2 - 2*z**5 - 12*z**3 + 0 + 16/5*z + 46/5*z**4 = 0. What is z?
-2/5, 0, 1, 2
Let t be (-13 - -15)/(-2) + 6/4. Let r(q) be the second derivative of 1/3*q**3 - t*q**2 + 0 - 3*q - 1/12*q**4. Factor r(o).
-(o - 1)**2
Let x(u) be the second derivative of u**6/1260 - u**5/420 - u**4/14 - 73*u**3/6 + 2*u - 39. Let w(s) be the second derivative of x(s). Factor w(j).
2*(j - 3)*(j + 2)/7
Factor -494/3 + 1/3*h**2 - 245/3*h.
(h - 247)*(h + 2)/3
Let x be 30/(-27) - (-26)/13. Let b = 406/237 - 30/79. Determine l so that b*l - x - 4/9*l**2 = 0.
1, 2
Determine w so that -1/7*w**5 - 12/7*w - 4/7*w**2 + 4/7*w**4 + 13/7*w**3 + 0 = 0.
-2, -1, 0, 1, 6
Let y(a) = -2*a**3 - 123*a**2 + 59*a - 181. Let x be y(-62). Factor -88/3*c**3 + 140/3*c**4 + 0*c - 50/3*c**x + 16/3*c**2 + 0.
-2*c**2*(c - 2)*(5*c - 2)**2/3
Let b(k) be the second derivative of k**7/420 - 19*k**6/300 - 11*k**5/25 - 23*k**4/30 - 3*k + 3005. Let b(g) = 0. Calculate g.
-2, 0, 23
Let w(q) = 28*q**2 + 35*q. Suppose -19 = 2*b + 15. Let f(u) = -10*u**2 - 12*u. Let l(d) = b*f(d) - 6*w(d). Find a such that l(a) = 0.
0, 3
Let i be (-1 - (-4*18/8 + 3))*(-1)/(-3). Factor 0 + 2*v - i*v**2 - 1/3*v**3.
-v*(v - 1)*(v + 6)/3
Let i = -88872 + 266660/3. What is k in -i + k**2 - 64/3*k = 0?
-2/3, 22
Let j = -1990 + 1990. Let h(z) be the second derivative of 2/5*z**5 - 4/63*z**7 + 10*z + 0*z**2 + 1/45*z**6 + j + 5/18*z**4 - 2/9*z**3. Solve h(r) = 0.
-1, 0, 1/4, 2
Let k be ((-8)/12 + -2)/((-4)/54). Factor -36*f**2 - 24*f**2 + 20313*f**3 - k*f - 20338*f**3.
-f*(5*f + 6)**2
Let k(j) be the first derivative of -j**4/96 - j**3/48 + 3*j**2/8 + 148*j + 174. Let u(y) be the first derivative of k(y). Find v such that u(v) = 0.
-3, 2
Let o(x) be the second derivative of 3/10*x**6 - 9/4*x**4 + 0*x**2 - 2*x**3 + x + 3/2*x**5 - 1. Factor o(n).
3*n*(n - 1)*(n + 4)*(3*n + 1)
Let q(n) be the second derivative of 5/4*n**2 + 39*n + 1/4*n**4 + 1/80*n**5 + 7/8*n**3 + 0. Factor q(j).
(j + 1)**2*(j + 10)/4
Suppose 6*p = p. What is i in 47*i**3 + p*i**2 - 30*i**3 - 6*i**2 - 4*i - 19*i**3 = 0?
-2, -1, 0
Suppose -w = -m - 5, -5*m = 4*w - 6*m - 11. Suppose -11*b**3 + 41*b**2 - 10*b**w - 150*b + 156*b = 0. Calculate b.
-2/11, 0, 3
Let v be -1*(1034/(-264))/47. Let j(p) be the second derivative of 2*p**2 + 1/20*p**5 - v*p**4 - 23*p + 0 - 2/3*p**3. Determine t so that j(t) = 0.
-2, 1, 2
Let g(u) = -u**2 - 6*u + 5. Suppose 12 = -17*h + 15*h. Let l be g(h). Factor -44*f**3 + 49*f**3 - 5*f**5 + 0*f**4 - 5*f**4 + l*f**2.
-5*f**2*(f - 1)*(f + 1)**2
Determine z so that 257*z**2 + 45/4 - 289/4*z**4 + 629/2*z**3 - 237/2*z = 0.
-1, 3/17, 5
Let f(y) = -18*y**2 - 24*y - 2396. Let g(z) = -13*z**2 - 8*z - 2395. Let p(a) = -3*f(a) + 4*g(a). Solve p(h) = 0 for h.
-46, 26
Let c(d) be the first derivative of -207/2*d**2 - 4*d**3 + 105 - 51*d. Factor c(q).
-3*(q + 17)*(4*q + 1)
Let a = -263448 - -3424838/13. What is w in -44/13*w + 2/13*w**4 + 48/13*w**2 + a - 20/13*w**3 = 0?
1, 7
Let x = 19127/1280 - 3723/256. Let 0 + 26/5*g + x*g**2 = 0. Calculate g.
-13, 0
Suppose 1128 = 3*o + 21*o. Suppose 2*z - t = -z + o, 5*z - 2*t = 79. Determine b, given that -z*b - 3/2*b**2 - 75/2 = 0.
-5
Let z = -104 + 106. Let q be ((-48)/160)/(z/(-5)). Factor q*x**2 + 0*x + 0 + 1/4*x**3.
x**2*(x + 3)/4
Let y(p) be the first derivative of 5*p**4/16 - 6895*p**3/4 + 28524615*p**2/8 - 13111814695*p/4 - 5543. Factor y(h).
5*(h - 1379)**3/4
Let u(r) be the third derivative of 0 + 3*r**2 + 35*r - 1/45*r**5 + 5/9*r**4 + 16/3*r**3. Find k such that u(k) = 0.
-2, 12
Let f(a) be the first derivative of 5*a**3/12 + 195*a**2/8 - 205*a/2 - 10267. Factor f(v).
5*(v - 2)*(v + 41)/4
Let a(p) be the third derivative of -p**5/75 - 442*p**4/15 - 390728*p**3/15 + 311*p**2. Factor a(g).
-4*(g + 442)**2/5
Let i(q) be the third derivative of q**6/960 + q**5/30 + 13*q**4/192 - 5*q**3/8 + 2971*q**2. Factor i(v).
(v - 1)*(v + 2)*(v + 15)/8
Suppose -12 = 4*q, 5*w - 6*q = -5*q + 13. Suppose -w*l = -39*l. Find k such that 0 + 0*k + l*k**2 + 4/3*k**3 = 0.
0
Let g be (2 - (14 + -1))*1. Let a(s) = s**3 + 10*s**2 - 13*s + 7. Let q be a(g). Determine y, given that -3 + q*y**2 - 11*y**2 - 12*y**2 - 3*y**4 = 0.
-1, 1
Let n be (-8 - -7)*(-18597)/(-45). Let r = -413 - n. Factor 0 - 2/15*c**4 - 2/15*c**2 - r*c**3 + 0*c.
-2*c**2*(c + 1)**2/15
Let i be 52/234 + 3*20/216. Let u(w) be the second derivative of 1/70*w**6 + 9/28*w**4 + 3/7*w**2 + 0 - 3/28*w**5 + 8*w - i*w**3. What is q in u(q) = 0?
1, 2
Let i be (-216)/(-90)*((-1064)/(-1617) + (-2)/11). Determine d so that 6/7 + 2/7*d**2 - i*d = 0.
1, 3
Let l = 512 + -530. Let b be 6/(-4)*(186/l + 9). Let -12/7*x**4 + 8/7*x**3 + 0*x**b + 4/7*x**5 + 0 + 0*x = 0. Calculate x.
0, 1, 2
Determine l so that -3/5*l**2 - 598/5*l - 199/5 = 0.
-199, -1/3
Suppose 26*k + 21 = 333. Factor -14*p - 3731*p**3 + 8 + 3747*p**3 + 4*p**2 + 2*p**5 - 4*p - k*p**4.
2*(p - 4)*(p - 1)**3*(p + 1)
Let o(m) = -m + 5. Let r be o(-7). Let n be 165/6*(-40)/(-50). Let r*c**2 - 3*c - 3*c**5 - 6*c**4 - 25 + 41 + 6*c**3 - n = 0. What is c?
-2, -1, 1
Solve 70*x + x**2 - 58*x + 128*x - 324*x = 0 for x.
0, 184
Let x(j) be the third derivative of j**9/30240 + j**8/10080 - j**7/1260 + 5*j**5/6 - j**2 + 74. Let o(i) be the third derivative of x(i). Factor o(a).
2*a*(a - 1)*(a + 2)
Determine k so that -4693/9*k**2 - 55/9*k**4 + 323/3*k**3 + 1/9*k**5 - 13718/9*k + 0 = 0.
-2, 0, 19
Suppose -23 + 7 = -4*s. Let x(h) = -