**7 + 0*p**2 + 0 + 1/3*p**4 + 16/9*p**3 - 17/30*p**5. Let i(j) = 0. Calculate j.
-2, -1, 0, 1, 8
Let x = -19 + 67. What is o in -6*o**2 - x*o**3 + 50*o + 43*o**3 + o**2 - 40 = 0?
-4, 1, 2
Let i be (-5 - 1)*3*8/(-48). Solve 3*w**5 - 4*w**3 - 2*w**3 + 0*w**5 + 2*w**4 + 920*w**2 - 9 - 902*w**2 - 11*w**4 + i*w = 0.
-1, 1, 3
Let h(b) be the first derivative of b**3/24 + 121*b**2/16 - 123*b/4 + 1153. Let h(j) = 0. What is j?
-123, 2
Let l(w) = 8*w + 89. Let a be l(-12). Let h be (-227)/(-14) - 2/a. Find z such that 33/2*z**2 - 39/2*z**4 + h*z - 21/2*z**3 - 6*z**5 + 3 = 0.
-2, -1, -1/4, 1
Let w be 5/(-20) + (-81)/(-4). Solve -4*f**3 + w*f**2 + 35*f + 2*f**3 + 4*f**3 + 15*f = 0.
-5, 0
Let o(d) be the third derivative of -d**4/12 + 6*d**3 - 21*d**2. Let k be o(17). Factor 9*p**2 + k + 322*p**4 - 9*p - 5*p**3 + 2*p - 321*p**4.
(p - 2)*(p - 1)**3
Let n(c) be the second derivative of 0 + 625/2*c**2 + 1/4*c**5 + 125/2*c**3 + 25/4*c**4 - 65*c. Determine v so that n(v) = 0.
-5
Let a(d) be the second derivative of -27/10*d**2 - 55*d + 0 + 3*d**3 - 5/4*d**4. Solve a(m) = 0 for m.
3/5
Determine h so that 0 + 5/3*h**3 - 7/3*h + 2/3*h**2 = 0.
-7/5, 0, 1
Let i(y) = y**5 - 2*y**4 + y**2 - 2*y + 2. Let u(l) = 5*l**5 + 16*l**4 + 140*l**3 + 4*l**2 - 8*l + 8. Let b(d) = -12*i(d) + 3*u(d). Factor b(m).
3*m**3*(m + 10)*(m + 14)
Suppose 11*h - 20 = 13. Suppose -400*w**4 - 2*w**2 - 2*w**5 + 5*w**3 + 0*w**h + 399*w**4 = 0. Calculate w.
-2, 0, 1/2, 1
Let c(m) be the first derivative of 1/3*m**3 + 76 - 26*m**2 + 676*m. Let c(h) = 0. Calculate h.
26
Let a(j) be the third derivative of j**5/140 - 353*j**4/56 - 177*j**3/7 + 3118*j**2. Suppose a(o) = 0. What is o?
-1, 354
Let p be 520/(-182)*7 + 22. Factor 0 + 16/3*a - 16/3*a**p + 4/3*a**3.
4*a*(a - 2)**2/3
Let g = 188/11 + -542/33. Let f(y) be the third derivative of 0*y - g*y**3 + 1/30*y**5 + 3*y**2 + 0 - 1/12*y**4. Find u such that f(u) = 0.
-1, 2
Let u(g) be the first derivative of -33/10*g**4 - 432/5*g - 3/25*g**5 + 396/5*g**2 - 106 - 97/5*g**3. Let u(m) = 0. What is m?
-12, 1
Determine h, given that 2507 - 5394 + 4*h**3 + 73*h + 112*h**2 + 107*h - 4*h + 2055 = 0.
-26, -4, 2
Let f(h) be the third derivative of -7/33*h**3 - 1 - 1/330*h**5 - 101*h**2 + 0*h - 2/33*h**4. Factor f(y).
-2*(y + 1)*(y + 7)/11
Let u(i) be the first derivative of 3*i**4/20 + 11*i**3/5 + 12*i**2/5 - 12*i + 204. Factor u(x).
3*(x - 1)*(x + 2)*(x + 10)/5
Suppose 0 = 5*j - 4*k - 65, 11*j - k = 18*j - 91. Suppose 6*q - j*q = 0. Determine c so that -33/2*c**2 + q - 3*c = 0.
-2/11, 0
Suppose -5*u = 4*c + 43, -47*u + 52*u + 7 = -c. Let q be (-3)/4 + ((-3)/c - -1). Find v such that -1/2*v**3 + 0*v + 0 - q*v**2 = 0.
-1, 0
Let u(x) be the first derivative of -x**6/24 + 3*x**5/20 + 3*x**4/4 - 13*x**3/3 + 6*x**2 - 1179. Find n such that u(n) = 0.
-4, 0, 2, 3
Let j(k) be the second derivative of -k**4/12 - 3*k**3 - 45*k**2/2 - 14717*k. Determine z, given that j(z) = 0.
-15, -3
Let k be (8558/330 + -26)/(1/9)*25/(-45). Solve k*n**2 + 20/3*n - 7 = 0 for n.
-21, 1
Let y = 733 + -843. Let v be (-1)/(y/20*2). Factor v*z**5 + 0*z**3 + 2/11*z**4 - 2/11*z**2 + 0 - 1/11*z.
z*(z - 1)*(z + 1)**3/11
Let v = 89333/7895 - -134/1579. Factor -6 + v*g - 3/5*g**3 - 24/5*g**2.
-3*(g - 1)**2*(g + 10)/5
Let q be 11/96 - 60/720. Let h(d) be the second derivative of q*d**4 + 0 + 3*d + 0*d**2 + 0*d**3. Solve h(v) = 0.
0
Let x be 2/5 + ((-69806)/(-385) - 2). Let f = 180 - x. Let -2/7*t**2 + 2/7*t**5 + f*t**4 + 0*t + 0 - 2/7*t**3 = 0. Calculate t.
-1, 0, 1
Let u(r) = -r**5 + 11*r**4 - 76*r**3 + 160*r**2 - 4*r - 256. Let l = -277 - -276. Let h(p) = -p**4 + p**3 - p. Let b(m) = l*u(m) + 4*h(m). Factor b(x).
(x - 4)**4*(x + 1)
Let d = -25 - -30. Suppose -2*n = -d - 5. Suppose 10 - 2 - 4*u**n - 12*u + 6*u**3 + 10*u**3 - 8*u**2 = 0. What is u?
-2, -1, 1
Let c be (805/(-23) - -30)*(-2 + 1 - 0). Let h(d) be the first derivative of -10*d - c*d**2 - 5/6*d**3 + 24. Find m such that h(m) = 0.
-2
Let z(i) = -8*i**5 + 16*i**4 + 20*i**3 - 4*i**2 + 9*i + 108. Let h(d) = d**5 - d**4 - d**3 + d**2 - d - 12. Let t(k) = 36*h(k) + 4*z(k). Solve t(x) = 0.
-5, -1, 0
Suppose 729*x - 600 = 429*x. Factor -3/5*k**x - 24/5*k - 21/5.
-3*(k + 1)*(k + 7)/5
Let z = 314 - 302. Determine o so that z - 12 + 9*o + 12*o**4 + 9*o**3 - 147*o**2 + 27*o = 0.
-4, 0, 1/4, 3
Suppose -15*d + 13*d + 25 = -5*x, -3*x - 91 = -5*d. Determine m, given that 3 - 48*m**2 - d*m**3 - 36*m - 10 - 1 = 0.
-1, -2/5
Suppose 5*j = 3*w + 6, -48*j + 53*j + 5*w = -10. Suppose 2/13*f**4 - 6/13*f**3 + j + 0*f**2 + 0*f = 0. What is f?
0, 3
Let o(p) = -4*p + 8. Let d(j) = -j**2 + j - 1. Suppose -36*i + 32 = -68*i. Let r(y) = -3*y**2 - y. Let b be r(1). Let f(a) = b*d(a) + i*o(a). Factor f(t).
4*(t - 1)*(t + 1)
Let s(g) = -5*g**3 - 185*g**2 - 1617*g + 1809. Let z(r) = 60*r**3 + 2220*r**2 + 19405*r - 21710. Let t(p) = -25*s(p) - 2*z(p). Suppose t(u) = 0. Calculate u.
-19, 1
Factor 267/2*r - 261/2 - 3*r**2.
-3*(r - 1)*(2*r - 87)/2
Let q(t) be the second derivative of t**5/4 - 5545*t**4/2 + 12298810*t**3 - 27278760580*t**2 + 3215*t. Determine g so that q(g) = 0.
2218
Let z(j) be the first derivative of j**4/2 - 202*j**3/3 - 417*j**2 - 630*j - 6677. Solve z(k) = 0.
-3, -1, 105
Let l(s) be the third derivative of -s**6/180 - 28*s**5/45 - 103*s**4/12 - 50*s**3 + 1318*s**2. Factor l(j).
-2*(j + 3)**2*(j + 50)/3
Let g(l) = 3*l**4 - l**3 + 4*l**2 - l - 2. Let c(x) = -39*x**4 - 9*x**3 - 39*x**2 + 69*x - 18. Let m(j) = c(j) + 12*g(j). Factor m(a).
-3*(a - 1)**2*(a + 2)*(a + 7)
Factor -3*k**2 + 3*k**2 + 360*k - 3*k**2 - 81 - 189*k + 255.
-3*(k - 58)*(k + 1)
Let z be 55/50*2*5. Determine x so that z*x + 13 + 3540*x**3 - 1 - 2*x**2 - 3541*x**3 = 0.
-4, -1, 3
Let z(u) be the second derivative of -u**6/135 + 2*u**5/45 - u**4/18 + 36*u + 14. Factor z(w).
-2*w**2*(w - 3)*(w - 1)/9
Let w = 14477/2 + -7238. Let b(d) be the first derivative of -w*d**4 + 0*d + 2*d**3 - 2*d**2 + 1. Factor b(p).
-2*p*(p - 2)*(p - 1)
Let p(w) be the third derivative of -w**6/50 + 9*w**5/100 + 7*w**4/10 - 1326*w**2. Determine t, given that p(t) = 0.
-7/4, 0, 4
Let q(u) be the second derivative of u**8/2240 - u**7/280 - u**6/10 - 7*u**5/10 + 13*u**4/6 - 65*u. Let h(r) be the third derivative of q(r). Factor h(m).
3*(m - 7)*(m + 2)**2
Let g(b) = b**2 + 219*b + 12324. Let j(z) = z**2 + 220*z + 12323. Let x(u) = -2*g(u) + 3*j(u). Factor x(n).
(n + 111)**2
Let u(b) be the second derivative of -5/12*b**4 + 6*b - 1210*b**2 - 110/3*b**3 + 6. Factor u(x).
-5*(x + 22)**2
Factor 48 + 3*i**4 + i**4 + 343*i**2 - 9*i - 35*i - 395*i**2 + 44*i**3.
4*(i - 1)**2*(i + 1)*(i + 12)
Let r be ((-42)/(-10))/((-67)/3015). Let h = r + 189. Find t, given that 2/7*t**2 + h*t - 2/7 = 0.
-1, 1
Let u(v) = -17*v**3 + 36*v**2 + 143*v + 96. Let n(b) = 29*b**3 - 74*b**2 - 285*b - 192. Let c(w) = -3*n(w) - 5*u(w). Solve c(t) = 0.
-2, -1, 24
Let x(l) be the third derivative of -l**8/10080 + l**7/1680 - l**6/1080 - 43*l**3/6 + 2*l**2 + 14*l. Let q(o) be the first derivative of x(o). Factor q(d).
-d**2*(d - 2)*(d - 1)/6
Let v(z) be the third derivative of 27*z**8/56 - 816*z**7/5 + 225622*z**6/15 + 201824*z**5/15 + 11236*z**4/3 - 365*z**2 + 1. Suppose v(o) = 0. Calculate o.
-2/9, 0, 106
Suppose 288*z - 4840 = -108*z - 88*z. Solve -16/3*i**2 - 8/3 + z*i - 2*i**3 = 0 for i.
-4, 1/3, 1
Let s(p) be the second derivative of p**7/21 - 14*p**6/3 - 108*p**5/5 - 109*p**4/3 - 73*p**3/3 - 7414*p. Factor s(g).
2*g*(g - 73)*(g + 1)**3
Let t = -42511/2 - -21258. Solve -1/2*c**5 - t*c**3 + 5/2*c**4 + 3*c + 0 - 5/2*c**2 = 0 for c.
-1, 0, 1, 2, 3
Let x(l) be the second derivative of -4*l**7/147 - 11*l**6/105 + l**5/10 + 11*l**4/42 - l**3/7 - 73*l. Let x(i) = 0. What is i?
-3, -1, 0, 1/4, 1
Let r(n) be the third derivative of -n**5/60 - 13*n**4/24 + 7*n**3/3 - 4*n**2 + 71*n + 6. Factor r(x).
-(x - 1)*(x + 14)
Let y(b) be the first derivative of -2/7*b**4 + 2/35*b**5 + 0*b + 8/21*b**3 + 0*b**2 - 10. Factor y(v).
2*v**2*(v - 2)**2/7
Suppose 5 = -45*c + 46*c. Suppose 4*t - c*y = -2, 3*t + 6*y = 3*y + 12. Find v, given that 10 + 3*v**t + 26 + 12*v - 2*v**2 = 0.
-6
Let f(u) be the second derivative of u**4/12 + 31*u**3/6 + 15*u**2 - 82*u - 1. Let y be f(-30). Find t, given that 1/7*t**3 - 1/7*t + 0 + y*t**2 = 0.
-1, 0, 1
Let x be 55/(3300/72)*3/9. Factor -2