ose 9 = -2*h - 3*t + 83, -h + 28 = -3*t. Suppose -87 = -h*q + 15. What is z in 1/4*z**4 - 1/2*z**q + 1/4*z**2 + 0 + 0*z = 0?
0, 1
Let k(l) be the first derivative of -l**3/7 + 183*l**2/7 + 216*l - 50. Let k(g) = 0. Calculate g.
-4, 126
Let v = 20963/5 - 4191. Let b(m) be the first derivative of 2 + v*m - 2/15*m**3 + 0*m**2. Factor b(l).
-2*(l - 2)*(l + 2)/5
Let z = -1059 - -1059. Let d(w) be the second derivative of -1/3*w**4 + z - 4/3*w**3 + 11*w + 0*w**2. Factor d(q).
-4*q*(q + 2)
Let d = 2502 + -2496. Let y(i) be the second derivative of 1/30*i**d + 0*i**2 + 0 + 1/4*i**5 + 2/3*i**3 + 2/3*i**4 - 2*i. Determine q so that y(q) = 0.
-2, -1, 0
Let u be (3204/189 - -12) + ((-20)/(-15) - 2). Solve 9/7*c**2 + u + 303/7*c = 0.
-33, -2/3
Let z be (28/6930*-3)/((-26)/390). Solve -14/11*k - z*k**2 - 20/11 = 0.
-5, -2
Let u = 85 + -55. Let c = u + -19. Find v, given that -22*v + 11*v + c*v - v**2 = 0.
0
Let y = -429 - -425. Let a be (y/(-3))/2 - (-26)/6. Find x such that 4/11*x**2 + 0*x - 6/11*x**3 + 0 - 6/11*x**4 + 4/11*x**a = 0.
-1, 0, 1/2, 2
Suppose 76*y - 89*y = -91. Let -y*w - 7*w - 20 + 3*w + 3*w + 19*w**2 - 18*w**2 = 0. What is w?
-2, 10
Let x = -142 - -146. Find u such that -7*u**3 + 5*u**2 - 23*u**4 - 10*u**5 - 38*u**3 - 22*u**x - 34*u + 49*u = 0.
-3, -1, 0, 1/2
Factor -3*n**2 + 1358728*n + 384 - 1358640*n + n**2.
-2*(n - 48)*(n + 4)
Let w be (2/(-10) + (-285)/75)/(-2). Factor 6*k + 14 - 27 + k**w + 13.
k*(k + 6)
Let f(o) = o**3 + 8*o**2 - 9*o - 4. Let h(c) be the second derivative of -c**5/20 + c**4/6 - c**3/6 - c**2/2 + 2*c + 2. Let d(x) = f(x) - 4*h(x). Factor d(y).
5*y*(y - 1)*(y + 1)
Suppose -33 = 2*z - 37. Suppose 7*d = z*d + 170. Let 0 - d*w - 3*w**2 + 37*w + 0 = 0. What is w?
0, 1
Let j(n) be the first derivative of n**7/630 - n**6/54 - n**5/15 - 14*n**3/3 + n - 23. Let r(l) be the third derivative of j(l). Factor r(u).
4*u*(u - 6)*(u + 1)/3
Let f be 5352/(-2230)*(-30)/(-9) + 11. What is v in -f*v + 10/3*v**2 + 0 = 0?
0, 9/10
Let d = 1155 - 1197. Let q be 11/(-66) - 43/d. Factor -2/7*l - q*l**2 - 6/7*l**3 + 0 - 2/7*l**4.
-2*l*(l + 1)**3/7
Let c(f) = -2*f**2 - 630*f - 15549. Let u be c(-288). Determine n so that -4/5*n**u + 2/15*n**4 + 0 + 8/5*n**2 - 16/15*n = 0.
0, 2
Let s(q) be the first derivative of 8/7*q**2 + 2/21*q**3 - 15 + 2*q. Solve s(v) = 0 for v.
-7, -1
Suppose 2741*g**2 - 48*g**4 - 9456*g - 9022*g**2 - 1197 - 2762*g**2 - 9152*g**2 + 194*g**3 + 1702*g**3 = 0. What is g?
-1/4, 19, 21
Let z be (-10)/(-8)*6*(-18)/3. Let q be (-8)/z + ((-644)/126)/(-23). Factor -1/5*i**3 + 1/5*i**2 + 0 + 0*i - q*i**4.
-i**2*(i + 1)*(2*i - 1)/5
Let 307/2*u**2 + 90 + 1/2*u**4 + 423/2*u + 65/2*u**3 = 0. What is u?
-60, -3, -1
Factor -95/3*o - 31/2*o**2 - 4/3.
-(o + 2)*(93*o + 4)/6
What is d in -116 + 37/2*d - 1/2*d**2 = 0?
8, 29
Suppose 0 = -23*d + 13*d - 10. Let g(t) = t**3 - 2*t**2 + 1. Let v(h) = 12*h**3 - 57*h**2 + 68*h - 8. Let c(i) = d*v(i) - 4*g(i). Factor c(w).
-(w - 2)**2*(16*w - 1)
Let b be (4/12)/(10/60). Let n be 11/(22/3)*1/b. Factor 0 + 9/4*u**3 + n*u - 9/4*u**2 - 3/4*u**4.
-3*u*(u - 1)**3/4
What is k in 225/2*k**2 - 138*k - 111/8*k**3 - 3/8*k**4 - 264 = 0?
-44, -1, 4
Let c(l) be the first derivative of -l**4/20 - 63*l**3/5 - 11907*l**2/10 - 250047*l/5 - 8277. Find y, given that c(y) = 0.
-63
Let o be (-700)/40*1/5 - -4. Let i be 0*(7 + 13/(-2)). Determine a, given that 0*a + i + 1/2*a**4 - o*a**2 + 0*a**3 = 0.
-1, 0, 1
Let y(r) = 3*r**2 - 13594*r - 9234381. Let i(c) = 4*c**2 - 27187*c - 18468768. Let m(a) = 4*i(a) - 7*y(a). Factor m(p).
-5*(p + 1359)**2
Let -5/3*p**3 - 1/3*p**4 + 0*p - p**2 + 1/3*p**5 + 0 = 0. Calculate p.
-1, 0, 3
Suppose -12*n + 10*n = 5*h - 970, 2*h + 5*n = 409. Let y be (9/(-12))/((-216)/h). Factor -4/9*m**2 + 0*m + y*m**3 + 0 - 2/9*m**4.
-2*m**2*(m - 2)*(m - 1)/9
Let x(s) be the second derivative of s**4/4 + 77*s**3/2 + 225*s**2 + 1447*s. Let x(z) = 0. What is z?
-75, -2
Let v = 56 + -40. Suppose 3*a + 10 = v. What is k in -5 - 3*k**a - 2*k + 6 + 2 + 2*k**2 = 0?
-3, 1
Let a be (3*(-2)/4)/(249/(-3652)). Suppose a*i + 2 = 2. Suppose i - 2/3*q - 1/3*q**2 = 0. Calculate q.
-2, 0
Let t(i) be the second derivative of 13*i - 16*i**3 + 46*i**2 + 1/3*i**4 + 1. Find f such that t(f) = 0.
1, 23
Let d(c) be the second derivative of -17*c**4 + 104*c**3/3 - 2*c**2 - 9330*c. Factor d(t).
-4*(t - 1)*(51*t - 1)
Let v(d) be the third derivative of 5/36*d**4 - 1/6*d**3 + 35*d**2 - 1/15*d**5 + 0*d + 0 - 1/630*d**7 + 1/60*d**6. Factor v(r).
-(r - 3)*(r - 1)**3/3
Let c(v) be the second derivative of v**8/8960 - v**6/960 - v**4/6 + 5*v**2/2 + 9*v + 1. Let n(w) be the third derivative of c(w). Find s such that n(s) = 0.
-1, 0, 1
Let x(n) be the third derivative of -4 + 0*n + 16*n**2 - 2/225*n**5 - 1/60*n**4 - 1/900*n**6 + 0*n**3. Factor x(i).
-2*i*(i + 1)*(i + 3)/15
Let i = -35643/20 - -10237/5. Let t = i + -264. Let -1/4*w**3 + 1/4*w**4 - 3/4*w + 0 - t*w**2 = 0. Calculate w.
-1, 0, 3
Let m(c) = c**2 - c - 40. Let i be m(8). Let t be (-4)/i + (-2 - (-159)/12). Factor -t*j - 4*j**2 - 5*j**3 + 3*j**3 + 9*j.
-2*j*(j + 1)**2
Let r(s) be the second derivative of -s**5/110 - 1307*s**4/66 - 142136*s**3/11 + 427716*s**2/11 + 6970*s. Factor r(d).
-2*(d - 1)*(d + 654)**2/11
Let u(c) be the first derivative of -c**7/3360 - 11*c**6/2880 + c**5/48 - 7*c**4/192 + 15*c**3 + 47. Let l(j) be the third derivative of u(j). Factor l(n).
-(n - 1)*(n + 7)*(2*n - 1)/8
Factor 185*z - 197*z - z**4 - 10*z**2 + 8*z**2 - 17*z**2 - 8*z**3.
-z*(z + 1)*(z + 3)*(z + 4)
Let m = -4 + 8. Suppose 0 = 2*b - z - 3, 4*b - 7*z + 2*z + 3 = 0. Suppose b*s**3 - 7*s**3 + 8*s**m + 4*s**2 + 18*s**3 - 8*s**5 = 0. Calculate s.
-1/2, 0, 2
Suppose -2/3*t**2 - 2/9*t**3 - 2/9*t**5 + 2/3*t**4 + 0 + 4/9*t = 0. Calculate t.
-1, 0, 1, 2
Let f(g) = 5*g**2 + 5012*g + 5011. Let n be f(-1). Find r such that 16/5*r**3 + 4/5*r - 2/5*r**5 + 3/5*r**n + 0 + 3*r**2 = 0.
-1, -1/2, 0, 4
Let j(p) be the third derivative of -p**7/315 + 91*p**6/180 - 47*p**5/2 + 225*p**4/4 - p**2 - p - 320. Solve j(w) = 0 for w.
0, 1, 45
Let f be ((-3642)/(-1020) - (-20)/50)*24/5. Determine c so that f + 40/17*c**2 + 234/17*c + 2/17*c**3 = 0.
-9, -2
Solve 44*s - 669/5 + 1/5*s**2 = 0 for s.
-223, 3
Let q = -3021/2 + 36253/24. Let y(z) be the third derivative of -q*z**4 + 0 + 1/6*z**3 + 0*z - 8*z**2 + 1/240*z**5. Suppose y(x) = 0. What is x?
2
Let x be 48*((-6)/24)/((-6)/8). Let x*r + 96 + 2/3*r**2 = 0. Calculate r.
-12
Let j = -655738/5 + 131342. Factor -3/5*u**2 - j + 108/5*u.
-3*(u - 18)**2/5
Let m(h) = -11*h**4 + 104*h**3 - 87*h**2 - 482*h - 286. Let w(g) = -155*g**4 + 1460*g**3 - 1215*g**2 - 6750*g - 4005. Let z(f) = 85*m(f) - 6*w(f). Factor z(o).
-5*(o - 14)*(o - 4)*(o + 1)**2
Factor -167*z**3 + 82*z**3 - 2*z**2 - 14*z**4 - z**2 + 17*z**4 - 6*z + 91*z**3.
3*z*(z - 1)*(z + 1)*(z + 2)
Let h(x) = -x**2 + 33*x - 171. Let a be h(26). Let b(g) be the first derivative of -1/3*g**3 + a - g**2 + 3/4*g**4 + 0*g. Find y such that b(y) = 0.
-2/3, 0, 1
Let y = -2135 + 2140. Let k(z) be the first derivative of -2/3*z + 1/3*z**4 - 9 - 2/3*z**2 + 2/15*z**y + 0*z**3. Factor k(f).
2*(f - 1)*(f + 1)**3/3
Let a = 119401/150 - 796. Let j(i) be the third derivative of 4/5*i**3 + 0 + 21*i**2 + 0*i - a*i**5 + 1/15*i**4. Factor j(h).
-2*(h - 6)*(h + 2)/5
Let a be ((-120612)/621)/46*12/(-19). Suppose -a - 58/21*r - 2/21*r**2 = 0. Calculate r.
-28, -1
Let w(s) be the first derivative of 0*s - 8/3*s**3 - 277 - 2/3*s**6 - 16/5*s**5 + 0*s**2 - 5*s**4. Find m such that w(m) = 0.
-2, -1, 0
Let t(g) = -29*g**2 - 10075*g + 30197. Let x(q) = -5*q**2 - 1679*q + 5031. Let j(c) = -3*t(c) + 17*x(c). Let j(s) = 0. Calculate s.
-844, 3
Let z(f) be the second derivative of 3/2*f**2 + 100*f + 3/8*f**4 + 9/8*f**3 + 0 + 3/80*f**5. What is w in z(w) = 0?
-4, -1
Let h(j) be the first derivative of -2*j**3/21 + 1023*j**2/7 + 2048*j/7 - 1750. Factor h(n).
-2*(n - 1024)*(n + 1)/7
Suppose -9 = 2*j + 2*i - 25, 2*i = 8. Solve 9*v**3 - 25*v**2 + 350*v**4 - 708*v**4 + 27*v - 10 + 357*v**j = 0 for v.
1, 2, 5
Factor -1/6*k**2 + 943/6 - 157*k.
-(k - 1)*(k + 943)/6
Let f = 835 + -835. Suppose k + 0*k = -3, 0 = -5*t + 3*k + 19. Solve f + 0*z - 2*z**4 - 2*z**3 - 2/3*z**t - 2/3*z**5 = 0.
-1, 0
Find z, given that 33*z**2 + 63/2*z**3 + 0 - 33*z**4 - 129/4*z + 3/4*z**5 = 0.
-1, 