of 2*t**7/315 - 3*t**6/25 + 11*t**5/25 + 4*t**4/9 - 28*t + 4. Determine w, given that y(w) = 0.
-1/2, 0, 4, 10
Let u be 15*(7 - 124*(-7)/(-126)). Factor 10/3*b + 5/3*b**2 + u.
5*(b + 1)**2/3
Determine z so that 0 - 4/3*z**3 - 4/3*z**4 + 0*z + 8*z**2 = 0.
-3, 0, 2
Let a(v) be the second derivative of -v**6/135 + 467*v**5/90 - 931*v**4/54 + 155*v**3/9 + 83*v - 4. Factor a(t).
-2*t*(t - 465)*(t - 1)**2/9
Let v(m) = 16*m**2 + 136*m - 20. Let n(z) = -4 + 0 - 128*z**2 + 129*z**2 - 3 + 6 - 2*z. Let u(x) = 20*n(x) - v(x). Factor u(j).
4*j*(j - 44)
Factor -148*j - 778*j**2 - 1488 - 1250 - 783*j**2 + 1559*j**2.
-2*(j + 37)**2
Suppose q + 5*p - 27 = 0, 3 + 0 = -q + 5*p. Determine f so that -6 + 35 + 4*f**3 - 29 - q*f**2 = 0.
0, 3
Let j be (96/(-64))/(-2*(-12)/(-32)). Let s(r) be the first derivative of 0*r + 5/3*r**4 + 8/3*r**j - 12 + 16/3*r**3. Factor s(u).
4*u*(u + 2)*(5*u + 2)/3
Let y be (-624 - -4)/(4/(-2)). Let m = 312 - y. Factor -3*b**m + 0 - 21/2*b**3 + 0*b.
-3*b**2*(7*b + 2)/2
Let u = 41164518/17 + -2420468. Factor u + 2/17*z**2 + 364/17*z.
2*(z + 91)**2/17
Let f(m) = -19*m**3 - 11*m - 11. Let y(p) be the first derivative of 0*p**3 + 3*p + 3/2*p**2 + 5/4*p**4 + 3. Let c(r) = 6*f(r) + 22*y(r). What is g in c(g) = 0?
0
Let b = -1199 + 727. Let a = b - -474. Suppose 23/4*u**a + 1/2 - 4*u**4 + 6*u**3 - 15/4*u = 0. Calculate u.
-1, 1/4, 2
Let 360/11*f + 48/11*f**2 - 2/11*f**3 + 0 = 0. What is f?
-6, 0, 30
Let q(o) be the first derivative of o**6/30 + o**5/25 - 3*o**4/10 - 458. Determine d, given that q(d) = 0.
-3, 0, 2
Suppose h + 3 = a - 6*a, 2*h - 2*a - 6 = 0. Factor -12*y**h + 8*y**3 + 32*y**4 - 44*y**4 + 16*y**4.
4*y**2*(y - 1)*(y + 3)
Let y(k) be the third derivative of k**6/30 - k**5/5 - 20*k**4/3 - 736*k**2. Find u, given that y(u) = 0.
-5, 0, 8
Suppose 0 = 3*i - 2*b + 606 + 176, 4*i + b = -1061. Let u = 264 + i. Let u + 2*j**4 + 12/5*j - 14/5*j**5 + 62/5*j**2 + 74/5*j**3 = 0. Calculate j.
-1, -2/7, 0, 3
Let s = 322 - 320. Suppose -2*m + 6 = -s*p, 3*m - 9 = 4*p - 9*p. Let -3/7*g**3 + 0*g + 2/7*g**2 + p + 1/7*g**4 = 0. What is g?
0, 1, 2
Suppose -45 = -83193*d + 83184*d. Let 4/15*y**2 - 2/15*y**d + 0 + 2/15*y + 0*y**3 - 4/15*y**4 = 0. What is y?
-1, 0, 1
Let f = 2506 - 49637/20. Let v(i) be the second derivative of -11*i**4 - 32*i + 0*i**2 + 0 - 98/5*i**6 + 2*i**3 + f*i**5. Let v(a) = 0. What is a?
0, 1/4, 2/7
Suppose -3*z + 10 = -2*g, 25*g - 30*g = 25. Let u(y) be the third derivative of 2/27*y**3 - 15*y**2 - 1/108*y**4 + 0 - 1/270*y**5 + z*y. Factor u(a).
-2*(a - 1)*(a + 2)/9
Let a = -175610 + 175612. Factor 4/7*j**4 + 128/7*j + 40/7*j**3 + 0 + 128/7*j**a.
4*j*(j + 2)*(j + 4)**2/7
Let v(y) = 33*y**2 + 1332*y + 147858. Let j(u) = 38*u**2 + 1332*u + 147859. Let n(h) = 6*j(h) - 7*v(h). What is w in n(w) = 0?
-222
Let t(f) be the third derivative of 0*f**3 + 0*f**4 + 0*f - 1/735*f**7 + 0*f**5 + 1/140*f**6 - 46*f**2 + 1. Factor t(h).
-2*h**3*(h - 3)/7
Let z(s) = -7*s**4 + 124*s**3 - 823*s**2 + 1208*s - 4. Let n(k) = 29*k**4 - 498*k**3 + 3291*k**2 - 4831*k + 18. Let q(c) = -2*n(c) - 9*z(c). Factor q(h).
5*h*(h - 11)**2*(h - 2)
Let g = 919 - 384. Suppose -u - g = -2*z, 1075 = 3*z + z - 3*u. Factor z*q - 285*q - 24*q**2 - 4*q**2 + 8.
-4*(q + 1)*(7*q - 2)
Let n be ((-70)/525)/(-2 - -3*(-5)/(-9)). Factor -n*y**2 - 14/5*y + 16/5.
-2*(y - 1)*(y + 8)/5
Let f(s) be the third derivative of s**5/80 + 93*s**4/16 + 46*s**3 + 3245*s**2. Factor f(j).
3*(j + 2)*(j + 184)/4
Let h(d) be the first derivative of -d**4/14 + 4*d**3/7 + 16*d**2/7 + 248. Determine w, given that h(w) = 0.
-2, 0, 8
Let c = -27691/7218 + 3255/802. What is x in 1/9*x**4 + c - 7/9*x + x**2 - 5/9*x**3 = 0?
1, 2
Let a(h) be the second derivative of h**5/80 + 95*h**4/12 - 763*h**3/24 + 191*h**2/4 - 1939*h. Factor a(f).
(f - 1)**2*(f + 382)/4
Let o = 24827/5 - 4919. Factor -88/5 + 4*y**3 + o*y**2 + 124/5*y.
4*(y + 1)*(y + 11)*(5*y - 2)/5
Let r(x) be the first derivative of x**5/15 + 7*x**4/4 - 32*x**3/3 + 50*x**2/3 + 637. Suppose r(j) = 0. Calculate j.
-25, 0, 2
Solve 6*w**2 - w**3 - 1/2*w**4 + 5/2 - 7*w = 0.
-5, 1
Let -84 - 37*c + 2*c**5 + 260*c + 123*c**4 + 5*c**2 - 320*c**3 + 95*c - 44 = 0. Calculate c.
-64, -1, 1/2, 1, 2
Let y(i) be the third derivative of -i**6/600 - 47*i**5/60 - 467*i**4/120 - 233*i**3/30 - 859*i**2. What is o in y(o) = 0?
-233, -1
Let n = 484652 - 484650. Suppose -8/5*x**3 + 0 + 2/5*x**4 - 4/5*x + n*x**2 = 0. Calculate x.
0, 1, 2
Let h(m) = -4*m**2 - 99*m - 236. Let u(b) = 2*b**2 + 50*b + 122. Let l(y) = 2*h(y) + 5*u(y). Factor l(w).
2*(w + 3)*(w + 23)
Factor -1/4*f**2 + 92*f + 1113/4.
-(f - 371)*(f + 3)/4
Factor -93*w + 634*w**2 - 2*w**5 + 556*w + 206*w**4 - 251*w + 630*w**3.
-2*w*(w - 106)*(w + 1)**3
Factor -207/4*n**2 + 1323/4 + 2079/4*n + 5/4*n**3.
(n - 21)**2*(5*n + 3)/4
Let i be 3359/2*64/(-96). Let k = i + 1121. Let 0 + 1/3*f**3 - k*f + f**2 = 0. What is f?
-4, 0, 1
Let o(f) be the second derivative of -f**6/10 + 387*f**5/10 - 192*f**4 + 383*f**3 - 765*f**2/2 + 15*f + 2. Solve o(j) = 0.
1, 255
Determine l, given that -33/5*l**2 - 12/5*l**3 - 1/5*l**4 + 48/5 - 2/5*l = 0.
-8, -3, -2, 1
Let s(c) = -c + 5. Let l be s(0). Suppose -l*i + 4 = -6. Let f(b) = 6*b**2 - 6*b + 3. Let j(y) = 5*y**2 - 6*y + 2. Let t(k) = i*f(k) - 3*j(k). Factor t(m).
-3*m*(m - 2)
Let y(u) be the second derivative of -u**5/330 + 38*u**4/33 - 5776*u**3/33 - 71*u**2 + 4*u - 14. Let f(b) be the first derivative of y(b). Factor f(p).
-2*(p - 76)**2/11
Let f(r) be the second derivative of r**6/50 + 21*r**5/100 - 17*r**4/20 + 9*r**3/10 - 266*r. Find z such that f(z) = 0.
-9, 0, 1
Suppose o - 974 = -2*w - 2*w, 0 = 5*w + 4*o - 1223. Factor 4*a**3 - 82*a**2 + 189*a - a**3 + 31*a**2 + w.
3*(a - 9)**2*(a + 1)
Let v(d) be the second derivative of 0 - 7/4*d**5 - 10*d**3 + 5/42*d**7 + 0*d**2 + 22*d - 25/3*d**4 + 1/3*d**6. Factor v(t).
5*t*(t - 3)*(t + 1)*(t + 2)**2
Factor -202*b**2 + 199*b**2 - 114172 + 88108 - 240348 - 1788*b.
-3*(b + 298)**2
Let o(u) = 12*u + 6. Let m be o(0). Let n(c) = -2*c**2 - 191*c - 89. Let f(y) = y**2 + 64*y + 30. Let d(a) = m*n(a) + 17*f(a). Factor d(j).
(j - 12)*(5*j + 2)
Let x(n) = n**2 + 630*n - 2534. Let s be x(4). Let y = 5850/17 - 344. Factor -y*m**s + 0 + 2/17*m.
-2*m*(m - 1)/17
Let a = 42 + -40. Let c(l) = -4*l + 10. Let d be c(a). Suppose 8 + 0*k**2 + 0*k**2 + 0*k**2 + 12*k + 4*k**d = 0. What is k?
-2, -1
Suppose 5*z = 5, z = -2*y - 2*z + 7. Factor 6*d**2 - 18*d + 18*d**y + 4*d**3 - 2*d**5 + 9*d**4 - 17*d**4.
-2*d*(d - 1)**2*(d + 3)**2
Suppose 0*i - 399 = -3*i. Let a = 137 - i. Factor 0*d - 3*d**3 - d**2 + 0 - 9/4*d**a.
-d**2*(3*d + 2)**2/4
Let m(u) = 437*u - 100 - 205*u - 219*u. Let l be m(8). Solve 1/2*j**l - 5*j**2 + 0 - j + 7/4*j**5 - 21/4*j**3 = 0.
-1, -2/7, 0, 2
Let t(i) be the third derivative of i**6/108 + 7*i**5/270 - 52*i**4/27 - 28*i**3/9 + 7*i**2 + 391*i - 2. Factor t(q).
2*(q - 6)*(q + 7)*(5*q + 2)/9
Find o, given that 39*o + 141*o**2 - 962 + 11*o**3 + 1701 - 1081 + 3*o**4 + 90*o**2 + 58*o**3 = 0.
-19, -3, -2, 1
Let c(m) be the first derivative of m**4/2 - 44*m**3/3 + 41*m**2 - 40*m + 1636. Factor c(s).
2*(s - 20)*(s - 1)**2
Suppose -10 = -4*g + 2*z + 10, 0 = -g + 2*z + 5. Let m(f) be the first derivative of 25/4*f**4 - 5*f**2 + g*f**3 + 0*f + 6. Let m(a) = 0. What is a?
-1, 0, 2/5
Factor -43/2*s**2 - 87/2*s - 131/6 + 1/6*s**3.
(s - 131)*(s + 1)**2/6
Suppose 5*s + b - 10 = 0, 4*b + 27 = 7. Suppose 3*u = -s*p + 12, 57*u - 55*u + 4 = p. Let 4/3*d**2 + u - 1/3*d**3 - 4/3*d = 0. Calculate d.
0, 2
Suppose -313 = -29*r - 23. Let n be 8/r + 264/(-605). Factor -n*h + 2/11*h**5 + 2/11*h**4 + 0 - 10/11*h**2 - 6/11*h**3.
2*h*(h - 2)*(h + 1)**3/11
Let w = 73269 - 73264. Suppose 3/2*v**4 - 1/2*v**3 - 1/2*v**w + v - 3/2*v**2 + 0 = 0. Calculate v.
-1, 0, 1, 2
Let x = -727 - -713. Let v be 7526/(-3498) - (x/(-3))/(-2). Let -v*h**2 - 2/11*h**5 + 0 + 2/11*h**4 + 0*h + 2/11*h**3 = 0. What is h?
-1, 0, 1
Let b(f) be the second derivative of -f**7/48 + 11*f**6/60 - 47*f**5/160 - 79*f**4/48 + 25*f**3/4 - 9*f**2/2 + 287*f. Solve b(x) = 0.
-2, 2/7, 2, 3
Let z(p) = 4*p**3 - 12*p**2 - 1588*p + 1244. Let n(m) = m**3 + 3*m**2 - 529*m + 415. Let q(x) = -16*n(x) + 5*z(x). Suppose q(t) = 0. Calculate t.
1, 5, 21
Factor 38*k**4 + 603*k**3 + 328*k + 528 - 853*k - 531*k**2 - 78*k**3 - 35*k**