Find z such that u(z) = 0.
-28, -1, 1
Suppose -333*w**3 + 144 + 972*w**5 - 804*w + 480*w**2 - 15*w**4 - 960*w**5 + 516*w**2 = 0. Calculate w.
-6, 1/4, 1, 2, 4
Let s(x) be the first derivative of -2*x**3/45 + 394*x**2/15 - 77618*x/15 + 278. Find c such that s(c) = 0.
197
Let b(c) = -2*c**4 + c**3 + 8*c**2 + 1. Let q(j) = -52*j**4 - 8*j**3 + 300*j**2 + 296*j + 184. Let p(s) = -24*b(s) + q(s). Let p(v) = 0. Calculate v.
-10, -1, 4
Let y(d) be the second derivative of 7*d**5/120 - 943*d**4/36 - 361*d**3/12 + 135*d**2/2 + 21*d - 31. Factor y(k).
(k - 270)*(k + 1)*(7*k - 3)/6
Determine t, given that -689*t + 145*t + t**5 + 516*t**3 + 459*t**3 - 155*t**3 + 800*t**2 - 144*t**3 + 139*t**4 - 1072 = 0.
-134, -2, 1
Find o, given that 296*o + o**2 + 114*o + 1757 + 4*o**2 + 179 + 689 = 0.
-75, -7
Suppose 2*m = -3*m - 3*h + 5, -4*h + 14 = 3*m. Let f be (m/(-7))/((-1900)/120 + 16). Factor -6/7*z**3 + f*z**2 + 16/7*z + 0 - 2/7*z**4.
-2*z*(z - 2)*(z + 1)*(z + 4)/7
Suppose 36 = q + 31. Suppose 20*x - 45*x**3 + 2*x**4 - 16*x**q + 31*x**5 - 4*x**4 - 8*x**4 = 0. Calculate x.
-1, 0, 2/3, 2
Let i(c) be the third derivative of c**8/42 + 222*c**7/35 - 169*c**6/30 - 111*c**5/5 + 167*c**4/6 + 831*c**2. Let i(u) = 0. What is u?
-167, -1, 0, 1/2, 1
Let a = 23177/13 + -1782. Let u(p) be the first derivative of 7/13*p**4 - 6/13*p + 4 - 4/39*p**3 - a*p**2 + 2/13*p**5 - 1/13*p**6. Let u(z) = 0. Calculate z.
-1, -1/3, 1, 3
Let i = -77654 + 77656. Factor -u**4 - 17/5*u**i + 0 + 16/5*u**3 + 6/5*u.
-u*(u - 1)**2*(5*u - 6)/5
Let z be (-7)/(3*2/(-60)*-5). Let p(v) = v**4 + v**2 - 1. Let r(d) = 6*d**4 - 6*d**3 - 2*d**2 + 4*d + 5. Let k(q) = z*p(q) + 2*r(q). Find m such that k(m) = 0.
-3, -2, 1
Suppose 89*z - 66*z + 230 = 0. Let f(a) = -a**3 - 9*a**2 + 9*a - 10. Let h be f(z). Solve 2/3*p - p**2 + 0*p**3 + 1/3*p**4 + h = 0 for p.
-2, 0, 1
Let x(c) be the second derivative of -c**7/315 + c**6/135 + c**5/270 - c**4/54 + 54*c**2 - 58*c. Let d(a) be the first derivative of x(a). Factor d(y).
-2*y*(y - 1)**2*(3*y + 2)/9
Factor 106 - 3*f**4 - 256*f + 2*f**4 + 53 - 16*f**3 + 120*f**2 + 17.
-(f - 2)**3*(f + 22)
Let q be (-804)/45 - -1*10/(-75). Let z be (10 + 184/q)/((-4)/6). Factor 13/3*g - z*g**2 - 4.
-(g - 12)*(g - 1)/3
Let a(j) = -5*j + 42. Let v be a(18). Let g be ((-2)/3)/(8/v). Factor 2*d**g - d**3 + 3*d**3 - 4*d**4.
-2*d**3*(d - 1)
Let o = 19 - -50. Determine d so that -4*d**2 - 74 - 9 - 42 + o + 36*d = 0.
2, 7
Suppose -43*a + 41*a - 4*c + 392 = 0, -4*a + 5*c = -797. Let -23*q + 150*q**3 + a*q + 25*q**4 + 155*q**2 + 45 - 5*q**5 + 95*q**2 = 0. Calculate q.
-1, 9
Suppose 5*a + 0*a = 195. Factor -71 + a + 9*l - 2*l**3 + 15*l.
-2*(l - 2)**2*(l + 4)
Let g(v) be the first derivative of -21*v**5/10 - 333*v**4/4 + 578*v**3 + 2034*v**2 - 1296*v - 9410. Determine k so that g(k) = 0.
-36, -2, 2/7, 6
Let i(f) be the second derivative of -f**7/315 - 17*f**6/75 - 104*f**5/25 + 338*f**4/45 - 4*f - 77. Factor i(n).
-2*n**2*(n - 1)*(n + 26)**2/15
Let x(i) be the third derivative of i**6/60 - 26*i**5/15 - 163*i**4/12 - 110*i**3/3 - 234*i**2. Factor x(m).
2*(m - 55)*(m + 1)*(m + 2)
Let d(p) be the first derivative of -p**5/150 - p**4/9 - 7*p**3/45 + 6*p**2/5 + 19*p - 114. Let n(i) be the first derivative of d(i). Factor n(l).
-2*(l - 1)*(l + 2)*(l + 9)/15
Find v such that 73/2*v**2 - 31/2*v**3 - 3*v**4 - 29/2*v - 7/2 = 0.
-7, -1/6, 1
Let o(b) be the second derivative of -b**4/6 + 146*b**3/3 - 5329*b**2 + 335*b. Factor o(z).
-2*(z - 73)**2
Suppose -397 + 85 = -6*d. Suppose -16 = 4*x - d. Factor -4*u + x + 4*u**3 - 1 + 4*u**4 - 12*u**2 + 0*u.
4*(u - 1)**2*(u + 1)*(u + 2)
Suppose -2*w + 3 + 5 = -3*v, -5*w = 5*v - 70. Determine b, given that 4*b - b + w*b - 20 + 11*b + b - 5*b**2 = 0.
1, 4
Let v(f) = -37*f**2 + 4550*f + 126. Let s be v(123). Suppose n**3 + s*n**2 + 1/3*n**5 - 5/3*n**4 + 0*n + 0 = 0. What is n?
-1, 0, 3
Suppose -4*t - 5*w + 2*w = -659, -5*t = -4*w - 816. Factor -8*c**3 - c**3 + 44*c**2 + 6*c**3 - t*c**2 - 1200*c.
-3*c*(c + 20)**2
Let f(t) be the second derivative of -t**4/48 + t**3/2 - 11*t**2/8 + 4306*t. Factor f(a).
-(a - 11)*(a - 1)/4
Factor 5/8*v**4 + 1/8*v**5 - 5/4*v - 17/8*v**2 + 0 - 3/8*v**3.
v*(v - 2)*(v + 1)**2*(v + 5)/8
Let m(r) be the third derivative of 0 + 1/12*r**5 + 0*r - 5/24*r**4 - 35*r**2 + 1/24*r**6 - 5/6*r**3. Factor m(t).
5*(t - 1)*(t + 1)**2
Let h(a) be the third derivative of a**5/30 - 23*a**4/6 - 85*a**3 + 424*a**2 - 2. Factor h(n).
2*(n - 51)*(n + 5)
Let q(f) be the first derivative of -13/2*f + 89/8*f**2 + 138 + 7/12*f**3. Determine y so that q(y) = 0.
-13, 2/7
Let x = 2840/3 - 946. Let c(h) be the first derivative of 0*h + x*h**2 - 2/9*h**3 + 15. Factor c(b).
-2*b*(b - 2)/3
Factor -453*h + 399 + 76 + 21*h**3 + 51 + 62 - 1020*h**2.
3*(h - 49)*(h + 1)*(7*h - 4)
Let z be ((-28)/(-63))/((-14)/(-252)). Factor 22/3*d**2 - z*d**3 + 0 + 2/3*d.
-2*d*(d - 1)*(12*d + 1)/3
Let h(p) = 111*p + 555. Let x be h(-5). Let v(y) be the first derivative of 14 + x*y + 2/15*y**3 + 0*y**2. Factor v(s).
2*s**2/5
Let y = 1812988/3 - 604202. Factor -92/9*o**3 + 2/9*o**4 + y*o**2 + 968/9 - 2024/9*o.
2*(o - 22)**2*(o - 1)**2/9
Suppose 69 - 69 + 3*k - 73*k + 2*k**2 = 0. Calculate k.
0, 35
Let a be ((-396)/(-96) - 3) + 60/160. Solve 96 + 18*u**2 + a*u**3 + 72*u = 0.
-4
Suppose -3*y = -5*m + 33, 2*m - 8*m = 2*y - 6. Factor 6/7*g**4 + 0 + 2/7*g**2 + 6/7*g**m + 2/7*g**5 + 0*g.
2*g**2*(g + 1)**3/7
Let s(o) be the second derivative of -164*o + 375/4*o**4 + 53/4*o**5 + 0*o**2 - 135/2*o**3 + 0 + 1/2*o**6. What is r in s(r) = 0?
-9, 0, 1/3
Let n be 694/(-78) + 477/53. Let r(k) be the second derivative of 2/13*k**2 - n*k**4 + 0 - 3/130*k**5 - 15*k - 1/13*k**3. Suppose r(a) = 0. What is a?
-2, -1, 1/3
Let z(p) = -3*p**3 + 13260*p**2 - 14652273*p + 14639049. Let q(n) = -n**2 - 8*n - 2. Let j(s) = -3*q(s) - z(s). Let j(h) = 0. What is h?
1, 2209
Suppose -30*l**4 - 2*l**5 - 344*l + 96*l**2 - 158*l**3 + 0*l**5 - 142*l**2 - 177 + 57 - 308*l**2 = 0. Calculate l.
-6, -5, -2, -1
Let p(y) = 10*y**3 - 70*y**2 - 2*y. Let r(m) = 6*m**3 - m**2 - m. Let z(l) = -p(l) + 2*r(l). Factor z(n).
2*n**2*(n + 34)
Let b be (-12)/(-75)*(-3 - 11/(-2)). Let x(m) be the first derivative of -7 + 2/5*m + b*m**3 - 1/10*m**4 - 3/5*m**2. Suppose x(c) = 0. Calculate c.
1
Let q(g) be the first derivative of -3*g**5/100 - 63*g**4/20 - 189*g + 54. Let s(f) be the first derivative of q(f). Suppose s(t) = 0. What is t?
-63, 0
Let n be 80/360 + (-7992)/(-3402). Factor 0 - 30/7*j**3 + 6/7*j**4 + n*j**2 + 6/7*j**5 + 0*j.
6*j**2*(j - 1)**2*(j + 3)/7
Let b(d) be the third derivative of -d**8/1344 + d**7/56 + 5*d**6/72 + d**4/12 + 37*d**3/6 - 17*d**2. Let x(f) be the second derivative of b(f). Factor x(h).
-5*h*(h - 10)*(h + 1)
Let g = -291 + 75. Let w = 1082/5 + g. Let w*b**2 + 0*b - 8/5 = 0. What is b?
-2, 2
Let u(h) be the third derivative of h**6/1320 - h**5/55 + 35*h**4/264 - 4*h**3/11 + 247*h**2. Factor u(s).
(s - 8)*(s - 3)*(s - 1)/11
Suppose 6*g = 217 - 763. Let i be -4 + 7 - (-133)/g. Solve 134/13*m + i + 138/13*m**3 + 18/13*m**4 + 266/13*m**2 = 0.
-5, -2, -1/3
Let a be -9 + 14008/1560 + 14/91. Find u such that 8/15 - 8/15*u - 2/5*u**2 + a*u**4 + 4/15*u**3 = 0.
-2, 1
Let q(g) = g**3 - 3*g + 1. Suppose 16*n - 21*n = 5. Let b(u) = -8*u**2 - 2*u + 9. Let j(w) = n*b(w) + q(w). Factor j(d).
(d - 1)*(d + 1)*(d + 8)
Let u(j) be the first derivative of -2*j**5/25 + j**4/10 + 4*j**3/3 - 4*j**2/5 - 48*j/5 + 5012. Find z, given that u(z) = 0.
-2, 2, 3
Let y(q) be the first derivative of -q**3/3 - 65*q**2/2 - 550*q - 5206. Factor y(z).
-(z + 10)*(z + 55)
Let h(g) be the first derivative of g**6/360 - g**5/36 - g**4/72 + 5*g**3/18 - 27*g**2/2 + 3*g + 108. Let b(s) be the second derivative of h(s). Factor b(i).
(i - 5)*(i - 1)*(i + 1)/3
Solve 148/3*w**3 + 96 - 140*w + 12*w**4 - 52/3*w**2 = 0 for w.
-3, 8/9, 1
Let f(a) be the first derivative of -a**5/60 - 9*a**4/8 + 14*a**3/3 - 65*a**2/2 + a + 87. Let d(l) be the second derivative of f(l). Factor d(c).
-(c - 1)*(c + 28)
Let h be ((-982980)/240)/129 + 37. What is p in h - 1/4*p**2 + p = 0?
-3, 7
Factor 300/11*m**2 + 2/11*m**3 + 1168/11 + 1176/11*m.
2*(m + 2)**2*(m + 146)/11
Suppose 2*k + 0*f - 2*f - 12 = 0, -f = -2*k + 9. Solve -16*r - 15*r**2 + 24*r**k + 0*r**4 - 26*r - 4*r**4 + r**4 = 0 for r.
-1, 