n + 183. Let x be u(-4). Let p be 5/3*18/x. Find t, given that -8/7 + 2/7*t**2 + p*t = 0.
-4, 1
Let x(t) be the second derivative of -t**10/37800 + t**9/75600 + t**8/6720 + t**4/12 - t**2/2 + 28*t. Let j(h) be the third derivative of x(h). Solve j(k) = 0.
-1, 0, 5/4
Suppose -9503*x = -9480*x. Suppose 5*o + 17 = g, -2 = g + 3*o + 5. Factor j - 1/3*j**g + x.
-j*(j - 3)/3
Let d = -152332/21 + 7254. Suppose 0 + 26/21*m + 4/3*m**2 + d*m**3 = 0. What is m?
-13, -1, 0
Suppose 12 = -0*d + 6*d. Suppose n + 36 = d*n + 2*l, 4*l = n - 24. What is j in -26*j + 60*j**2 - 5*j**3 - 41*j - n*j - 81*j = 0?
0, 6
Let v = 1668/247 + -7599/1235. Factor -v*o**2 + 42/5*o - 72/5.
-3*(o - 12)*(o - 2)/5
Solve -1168/7*y + 4/7*y**3 + 12*y**2 - 2640/7 = 0 for y.
-30, -2, 11
Suppose -7*r + 20 - 6 = 0. Factor 3*f**r - 26*f - 4*f**2 - f**2.
-2*f*(f + 13)
Let v(b) be the first derivative of 3*b**5/5 - 37*b**4/2 + 47*b**3/3 + 12*b**2 - 3670. Let v(t) = 0. Calculate t.
-1/3, 0, 1, 24
Let w(m) = m**3 - 12*m**2 - 13*m + 14. Let p be w(13). Suppose -p*r = -6*r. Determine s, given that r*s + 3/8*s**4 + 0 + 0*s**2 + 3/8*s**3 = 0.
-1, 0
Let r(g) be the first derivative of 14*g**3/15 + 15*g**2 - 44*g/5 - 75. Factor r(m).
2*(m + 11)*(7*m - 2)/5
Let n(k) be the second derivative of -49/180*k**5 - 7/9*k**4 + 0 + 1/2*k**2 + 5*k - 8/9*k**3. Let t(j) be the first derivative of n(j). Factor t(d).
-(7*d + 4)**2/3
Let z = 226 + -223. Determine m, given that -4*m**4 + z*m**3 + 5*m**4 + 12*m**3 + 4*m**4 = 0.
-3, 0
Let s = -89 - 59. Let o be -9 - (s/(-16))/(-1). Factor 1/4*f - 1/4*f**3 - 1/4*f**2 + o.
-(f - 1)*(f + 1)**2/4
Let r(t) be the first derivative of t**6/80 - t**5/160 - t**4/32 + t**3/48 - 10*t - 41. Let a(i) be the first derivative of r(i). Factor a(q).
q*(q - 1)*(q + 1)*(3*q - 1)/8
Let p(r) = 928*r + 39906. Let v be p(-43). Let -14*a**v - 72/5*a + 0 + 2/5*a**3 = 0. Calculate a.
-1, 0, 36
Let p(k) be the third derivative of -k**6/160 - 5*k**5/8 + 13*k**4/4 + 525*k**2. Factor p(b).
-3*b*(b - 2)*(b + 52)/4
Let b(u) be the third derivative of 1/945*u**7 + 1/180*u**6 + 0*u**4 + 1/135*u**5 + 0*u + 0*u**3 + 0 - 44*u**2. Factor b(z).
2*z**2*(z + 1)*(z + 2)/9
Let p be (-236)/(-2)*(120/18 + -6). Let w = p + -1108/15. Solve -1/5*f**3 - 16/5 - 9/5*f**2 - w*f = 0.
-4, -1
Let 32 + 2/3*u**3 - 16/3*u - 10/3*u**2 = 0. What is u?
-3, 4
Suppose 0 = -32*b - 20436 + 4756. Let s be (-3)/5 - 504/b. Factor s*q + 1/7*q**3 + 1/7 + 3/7*q**2.
(q + 1)**3/7
Let u(v) be the first derivative of v**3/8 + 309*v**2/16 - 39*v - 1980. Factor u(w).
3*(w - 1)*(w + 104)/8
Suppose 10/9*l**4 + 0*l + 0*l**2 + 0 - 4/3*l**3 + 22/9*l**5 = 0. What is l?
-1, 0, 6/11
Let i be (60/52)/((-14)/((-420)/(-45))) - -2. Factor 2/13*r**3 - 32/13 + 40/13*r - i*r**2.
2*(r - 4)*(r - 2)**2/13
Let t(n) be the third derivative of 0*n**4 + 49/300*n**5 + 0*n**3 + 1/1050*n**7 - 7/300*n**6 + 0*n + 0 - 58*n**2. Let t(q) = 0. What is q?
0, 7
Let h(x) be the third derivative of -x**6/72 + 11*x**5/24 - 25*x**4/12 - 29*x**3/2 + 4*x**2 + 5*x. Let p(a) be the first derivative of h(a). Factor p(m).
-5*(m - 10)*(m - 1)
Let 7/2*u**2 + 1/4*u - 1/4*u**3 - 7/2 = 0. Calculate u.
-1, 1, 14
Let s(j) be the second derivative of -j**5/50 + 103*j**4/30 - 1559*j. Factor s(x).
-2*x**2*(x - 103)/5
Let g(f) = 36*f + 257. Let s be g(-7). Factor 4*q + 2*q + s*q - 9 + 23 + 2*q**2 + 5*q.
2*(q + 1)*(q + 7)
Let j(g) be the first derivative of -2*g**3 + 62 - 81*g + g**3 + 214 - 28*g**2 - 14*g**2 - 26. Determine t, given that j(t) = 0.
-27, -1
Suppose -48*b - 10*b + 16008 = 0. Let o = -273 + b. Factor -50/9 + 70/9*q + 2/9*q**o - 22/9*q**2.
2*(q - 5)**2*(q - 1)/9
Let u(n) = n**3 - 5*n**2 - 13*n - 2. Let p be 66/12 - 3/(-2). Let x be u(p). Factor -2 + c**2 - 12*c + 8*c + x*c.
(c - 1)*(c + 2)
Factor -82*w - 4*w**3 - 360*w - w**3 - 924*w + 170*w**2 + 6760 - 519*w.
-5*(w - 13)**2*(w - 8)
Let s(d) be the third derivative of d**6/40 - 7*d**5/5 - 125*d**4/8 - 48*d**3 - 7446*d**2. Factor s(x).
3*(x - 32)*(x + 1)*(x + 3)
Suppose -1 = -n, -1198 - 1837 = 4*z + 5*n. Let d = z + 760. Factor d - 5/6*q**2 + 11/6*q**3 - 7/6*q**4 + 0*q + 1/6*q**5.
q**2*(q - 5)*(q - 1)**2/6
Let l = -91 + 93. Let i be (134/(-17) - -8)/1. Let -i*t**l + 0 - 2/17*t = 0. Calculate t.
-1, 0
Let b(p) = p**3 - 5*p**2 + 5*p - 4. Let f be b(4). Suppose -12*r + 5*r + 98 = f. Factor 4 - 4 - 8 - r*z - 3*z**2.
-(z + 4)*(3*z + 2)
Let j(x) = -x**2 - 60*x - 155. Let l(g) = 3*g**2 + 150*g + 387. Let w be ((-27)/(-18))/(1/8). Let u(c) = w*j(c) + 5*l(c). Solve u(a) = 0 for a.
-5
Let j be (-54)/(-10) + 18/(-45). Suppose 0 = -j*d - 5*t, -1 - 9 = 2*d + 4*t. Factor d*z**3 + 6 - 2*z + 17*z - 1 + 15*z**2.
5*(z + 1)**3
Let c(a) be the third derivative of 0*a + 6*a**2 + 1/10*a**5 + 0*a**3 - 2 - 1/140*a**7 + 0*a**4 + 0*a**6. Factor c(p).
-3*p**2*(p - 2)*(p + 2)/2
Let p(h) be the first derivative of 4*h**3/3 + 1264*h**2 + 399424*h + 4029. Determine b, given that p(b) = 0.
-316
Let u = -40 + 43. Let 9*b**3 - 102*b**2 + 24 - 60*b + 17*b**u + 8*b**3 + 29*b**3 = 0. Calculate b.
-2/3, 2/7, 2
Let f(t) = -16*t**2 + 7*t + 74. Let w(y) = 5*y**2 - 2*y - 25. Suppose 25*j = 17*j + 56. Let r(a) = j*w(a) + 2*f(a). Find p such that r(p) = 0.
-3, 3
Let n**3 + 16*n + 20 + 38*n + 73 - 175*n + 27*n**2 = 0. What is n?
-31, 1, 3
Let z(q) = -4*q**3 + q**2 + 2. Let p(t) = 106*t**3 - 1858*t**2 - 3670*t - 1888. Let l(r) = -2*p(r) - 52*z(r). Factor l(j).
-4*(j - 918)*(j + 1)**2
Let i(o) be the third derivative of -o**6/40 - 17*o**5/20 - 8*o**4 - 24*o**3 - 1813*o**2 + 2*o. Factor i(h).
-3*(h + 1)*(h + 4)*(h + 12)
Factor -274/3*m**2 + 0*m - 2/3*m**3 + 0.
-2*m**2*(m + 137)/3
Let g(h) be the second derivative of -3*h**5/140 + 9*h**4/14 - 30*h**3/7 + 12*h**2 - 15*h + 13. Solve g(z) = 0 for z.
2, 14
Suppose 5*n - 40 + 25 = 0. Suppose -55 = n*h - 55. Find w such that h*w**2 - 5/2*w**5 + 5/2*w**4 + 0*w**3 + 0 + 0*w = 0.
0, 1
Find a, given that 3041536/5 + 4/5*a**2 + 6976/5*a = 0.
-872
Let q(c) be the second derivative of 0*c**2 + 0*c**3 + 1/20*c**6 - 3/20*c**5 + 1/6*c**4 - 14*c - 1/168*c**7 + 0. Factor q(n).
-n**2*(n - 2)**3/4
Let w be (130/(-18))/1 + (-18)/(-81). Let n(s) = -s**3 - 7*s**2 + 2. Let p be n(w). Factor -k**4 + 13*k - 6*k**3 + 11*k - 3*k**2 - 8*k**p - 30*k.
-k*(k + 1)*(k + 2)*(k + 3)
Let p = -544554/7 + 77796. Determine f so that 33/7*f + 3/7*f**3 - 18/7 - p*f**2 = 0.
1, 2, 3
Suppose 0 - 2736*i**4 + 14*i**5 + 3104/7*i + 2880*i**2 + 27056/7*i**3 = 0. What is i?
-2/7, 0, 2, 194
Let o = 324 - 311. Solve 262*d - 258*d - 5*d**2 + o*d**2 + 4*d**3 = 0.
-1, 0
Let q(f) be the first derivative of -f**6/15 + f**5/10 + 8*f**4/3 + 20*f**3/3 - 233*f + 98. Let p(w) be the first derivative of q(w). Factor p(o).
-2*o*(o - 5)*(o + 2)**2
Let s(j) be the second derivative of j**4/66 + 2996*j**3/33 + 2244004*j**2/11 - 230*j - 10. Factor s(z).
2*(z + 1498)**2/11
Let v(g) be the third derivative of -g**5/9 - 403*g**4/18 + 36*g**3 - 146*g**2 + 1. Factor v(o).
-4*(o + 81)*(5*o - 2)/3
Let v = -526292 + 526294. Factor -6*u - 2/9*u**3 + 10/3*u**v + 26/9.
-2*(u - 13)*(u - 1)**2/9
Let b(h) be the second derivative of -h**5/25 + 3*h**4/5 - 22*h**3/15 - 42*h**2/5 - 2*h + 8. Factor b(i).
-4*(i - 7)*(i - 3)*(i + 1)/5
Suppose 5*n = 5*r - 170, 4*r = 7*r - 2*n - 97. Suppose 4*k + 19*k**3 - 51*k**3 + 3*k - 17 + r*k + 120*k**2 + 1 = 0. What is k?
-1/2, 1/4, 4
Let -3*d**3 - 60*d**4 + 158*d**3 + 8*d**2 - 229*d**5 + 234*d**5 + 52*d**2 - 160*d = 0. Calculate d.
-1, 0, 1, 4, 8
Let o(u) = 3*u**2 + 81*u. Let x(p) = p**2 + 41*p. Suppose 30 = 2*q + 7*z - 6*z, 60 = 4*q + 3*z. Let d(t) = q*x(t) - 6*o(t). Determine y so that d(y) = 0.
0, 43
Let i(j) be the second derivative of 4*j**7/273 - 107*j**6/195 + 269*j**5/130 - 59*j**4/39 - 16*j**3/13 + 596*j - 5. Find b, given that i(b) = 0.
-1/4, 0, 1, 2, 24
Let n(w) = 234*w - 7488. Let q be n(32). Factor -b**3 + 0*b + 7/2*b**4 + q*b**2 + 0.
b**3*(7*b - 2)/2
Suppose 69*z = -4*d + 68*z + 6, 0 = 4*z - 24. Let p(o) be the first derivative of 2/3*o**3 + d*o**2 + 15 + 8/5*o**5 + 0*o + 2*o**4. Factor p(b).
2*b**2*(2*b + 1)**2
Let q(i) be the third derivative of i**6/210 - 164*i**5/105 - 499*i**4/42 - 668*i**3/21 + 3125*i**2. Factor q(a).
4*(a - 167)*(a + 1)*(a + 2)/7
Let d(t) be the second derivative of 5*t**4/12 + 445*t**3/6 - 225*t**2 + 1425*t. Let d(y) = 0. Calculate y.
-90