*2 - 1. Factor d(u).
-2*u*(u - 1)*(u + 1)
Suppose -31*t + 17 = -76. Let v be 11 + (-2)/(0 + -2). What is c in -30*c**4 - v*c - 19*c**2 + 3*c**5 - 9*c**t + 57*c**4 - 5*c**2 - 21*c**4 = 0?
-2, -1, 0, 2
Let q(s) be the second derivative of -s**6/30 + 217*s**5/5 - 47521*s**4/3 + 124992*s**3 - 373248*s**2 + 2611*s. Factor q(o).
-(o - 432)**2*(o - 2)**2
Solve -29/4*w + 5/2*w**2 - 1/4*w**3 + 5 = 0.
1, 4, 5
What is b in 50*b**3 + 133171 - 616*b**2 - 33*b**3 + 61517 - 33*b**3 + 46176*b + 18*b**3 = 0?
-4, 156
Let y(s) = s**3 + 85*s**2 - 253*s + 218. Let a(u) = -u**3 - 101*u**2 + 253*u - 219. Let v(i) = 3*a(i) + 4*y(i). Factor v(x).
(x - 5)*(x - 1)*(x + 43)
Let z(y) be the first derivative of 32/3*y**3 + y**4 + 48*y + 38*y**2 - 48. Factor z(k).
4*(k + 1)*(k + 3)*(k + 4)
Let x(q) = 4*q**2 + 24*q + 20. Suppose -8*n - 90 = n. Let p be (-279)/15 - 1 - (-4)/n. Let v(l) = l + 1. Let g(w) = p*v(w) + x(w). Find i, given that g(i) = 0.
-1, 0
Determine h, given that 28/17 - 8/17*h**2 - 110/17*h = 0.
-14, 1/4
Let t = -2234 + 2248. Let b(d) = -149*d + 1. Let a be b(-1). Let 20*c**4 - 21*c - 115*c**3 - t*c + a*c**2 + 6 - 26 = 0. Calculate c.
-1/4, 1, 4
Let -10*u**2 + 14*u**2 + 6*u**2 - 6*u**2 - 216*u = 0. What is u?
0, 54
Solve -980*j + 343*j**4 + 905*j**3 - 25*j**5 - 1040*j**2 + 480 + 465*j**4 + 100*j**3 - 248*j**4 = 0.
-2, -1, 2/5, 1, 24
Let g be (1 - -4 - -34)*1. Suppose -11 - 26 - 35 + g*r - 9*r + 3*r**2 = 0. What is r?
-12, 2
Let k be (-4)/6*-3 - (5 + -6). Suppose 104 = 30*d + 22*d. Factor 6*r + 4 + k*r**d + 1/2*r**3.
(r + 2)**3/2
Let 40*n**4 + 85 - 95/2*n - 5/2*n**5 + 50*n**3 - 125*n**2 = 0. Calculate n.
-2, -1, 1, 17
Determine a so that 35/4*a**2 + 1/4*a**3 - 56 + 47*a = 0.
-28, -8, 1
Let a(n) be the third derivative of 2*n**7/21 - 7*n**6/5 - 28*n**5/5 + 20*n**4/3 - 1556*n**2. Determine k, given that a(k) = 0.
-2, 0, 2/5, 10
Let c(i) be the first derivative of 5*i**3/3 - 235*i**2/2 + 450*i - 736. Suppose c(l) = 0. What is l?
2, 45
Let n(h) = 4*h**5 - 6*h**4 + 24*h**3 - 150*h**2 - 176*h - 40. Let i(j) = -3*j**4 + j**3 - j**2 - 2*j. Let k(b) = 16*i(b) - n(b). Let k(a) = 0. Calculate a.
-10, -1, -1/2, 2
Let b = -326656/15 + 65372/3. Suppose 2/5*f**2 + 578/5 - b*f = 0. Calculate f.
17
What is w in 20/3*w**3 - 2/3*w**4 - 8/3*w + 56/3 - 14*w**2 = 0?
-1, 2, 7
Let u(r) = 44*r**4 + 170*r**3 + 186*r**2 + 63*r + 8. Let s = 34 - 31. Let p(v) = -2*v**3 - 421*v + v**s - v**4 + 420*v. Let m(f) = 5*p(f) - u(f). Factor m(q).
-(q + 1)*(q + 2)*(7*q + 2)**2
Let p be 2/(-6)*-24 - -5. Suppose 2*k = p*k + 3*k. Factor 4/9*a**2 + k - 4/9*a**3 - 4/9*a**4 + 4/9*a.
-4*a*(a - 1)*(a + 1)**2/9
Let n be (2 + (-32)/20)*(4 - 0) - -8. Let g be 2*(-2)/(-12) + 55/15. Solve 18/5*a**3 + n*a**2 + 0 + 2/5*a**g + 32/5*a = 0.
-4, -1, 0
Let m(o) be the first derivative of o**4/14 + 38*o**3/7 - 60*o**2/7 - 232*o/7 + 1239. Determine v, given that m(v) = 0.
-58, -1, 2
Let v(k) = 21*k**4 - 162*k**3 - 45*k**2 + 6. Let n(f) = -f**2 - 2. Let x(y) = -3*n(y) - v(y). Factor x(g).
-3*g**2*(g - 8)*(7*g + 2)
Let v(c) be the third derivative of 4*c**7/2205 + 47*c**6/420 + 43*c**5/70 - 4334*c**4/63 - 484*c**3/7 + 115*c**2 - 12*c + 1. Suppose v(u) = 0. Calculate u.
-22, -1/4, 9
Suppose -4 = 3*n - 2*x, -n - 21*x + 22 = -17*x. Suppose 8*c - 4*c + 4 = -2*z, 0 = -3*z + n*c + 10. Factor -4/13*s + 0*s**z + 4/13*s**3 + 2/13*s**4 - 2/13.
2*(s - 1)*(s + 1)**3/13
Suppose -5*q = -2*k - 1 + 6, 0 = -4*q - 4. Suppose -x + 3*b - 7 = k, -2*b = -x + 5*x - 14. Factor -1 + 1/3*s**x - 2/3*s.
(s - 3)*(s + 1)/3
Let m(h) be the third derivative of -h**7/35 - h**6/2 - 25*h**5/8 - 125*h**4/16 + 926*h**2. Factor m(y).
-3*y*(y + 5)*(2*y + 5)**2/2
Solve 0 + 3*c**2 + 9/4*c - 3*c**4 - 3/2*c**3 - 3/4*c**5 = 0.
-3, -1, 0, 1
Let m(h) be the first derivative of 78 + 15/8*h**4 - 7/10*h**5 + 0*h**2 + 0*h - 3/2*h**3 + 1/12*h**6. Factor m(k).
k**2*(k - 3)**2*(k - 1)/2
Let z = 42 - 40. Let u be ((-5)/(-3) + -5)*6/(-4). What is r in 16 + 0*r**2 - u*r**2 + 3*r**2 + 16*r - 4*r**3 - z*r**2 = 0?
-2, -1, 2
Let x(l) be the first derivative of -38 - 6*l - 7/6*l**2 + 1/9*l**3. Factor x(g).
(g - 9)*(g + 2)/3
Factor 380/3 + 4/3*q**2 - 32*q.
4*(q - 19)*(q - 5)/3
Suppose -5*q - 16 = m, -9*m + 5*m + 4 = 3*q. Find y such that 42*y**3 + 1341*y**m + 52*y**3 - 1346*y**4 - 28*y**3 + 24*y**3 = 0.
0, 18
Let r(j) be the first derivative of -j**4/6 - 43*j**3 - 287*j**2/3 + 128*j + 914. Suppose r(s) = 0. What is s?
-192, -2, 1/2
Suppose 54*w + 232 = 502. Let x(z) be the first derivative of 0*z + 0*z**2 + 1/30*z**w + 1/12*z**4 - 13 + 0*z**3. Factor x(b).
b**3*(b + 2)/6
Let w(d) = d**5 + 6*d**4 - d**3 + 6*d**2 - 6*d. Let t = 40 - 15. Let l(z) = 5*z**5 + 25*z**4 - 5*z**3 + 25*z**2 - 25*z. Let o(v) = t*w(v) - 6*l(v). Factor o(i).
-5*i**3*(i - 1)*(i + 1)
Suppose 88*p = 84*p + 12. Factor 20*w**p + 44*w**3 - 20*w + w**3 + 120*w**2.
5*w*(w + 2)*(13*w - 2)
Let i = 2371 - 702. Let t = i - 31709/19. Factor 0*k**2 - 2/19*k**5 + t*k**4 + 0*k**3 + 0*k + 0.
-2*k**4*(k - 1)/19
Let a = 131287/155 + 1982/155. Let p = 861 - a. Find q, given that -3/5*q + p - 3/5*q**2 = 0.
-2, 1
Let a be (1 - (77/(-84))/(-1))/((-14)/((-672)/18)). Factor a*c**4 - 2/9*c**3 - 4/9 - 2/3*c**2 + 10/9*c.
2*(c - 1)**3*(c + 2)/9
Let p be (-2268)/(-2610) - (-13 - (-7201)/551). Factor 0 - p*s**3 - 1/5*s**2 + 4/5*s + 1/5*s**4.
s*(s - 4)*(s - 1)*(s + 1)/5
Let l be 6/(-18)*(-1 + -20 + 15). Let x be 2/4*20/35. Factor 4/7*h**3 + 2/7*h**4 + x*h**l + 0*h + 0.
2*h**2*(h + 1)**2/7
Let i = 8377/312 + -925/24. Let j = i - -2992/247. Solve 10/19*m + 2/19*m**2 + j = 0 for m.
-4, -1
Suppose 3*z + 11 = -c - 45, -4*c + 99 = -5*z. Let k = 23 + z. Factor -49*j**2 + k + 24*j**2 + 4 + 21*j**2 + 4*j.
-4*(j - 2)*(j + 1)
Let k(q) be the second derivative of q**7/21 - 7*q**6/15 - 4*q**5/5 + q - 263. Factor k(y).
2*y**3*(y - 8)*(y + 1)
Let s be 9/18*-3 - (-3)/2. What is i in 12*i**2 + s*i + 4*i**4 + 2*i + 12*i**3 + 2*i = 0?
-1, 0
Find a such that -78*a + 454*a**3 - 253*a**3 + 27*a**2 - 204*a**3 + 72 = 0.
2, 3, 4
Let m = 4889/58380 - 2/4865. Let u(v) be the second derivative of -m*v**4 + 4*v + 1/8*v**2 - 1/8*v**3 - 6. Factor u(r).
-(r + 1)*(4*r - 1)/4
Let v(x) be the third derivative of -13*x**5/12 - 25*x**4/12 - 19*x**2 + 90*x - 2. Factor v(h).
-5*h*(13*h + 10)
Let g(b) be the second derivative of 3*b**4/16 + 115*b**3/24 - 13*b**2/4 - 407*b + 6. Let g(p) = 0. Calculate p.
-13, 2/9
Let g(p) = -1210*p**3 + 2*p**2 + 5*p + 4. Let x be g(-1). Let w = 3635/3 - x. Find z, given that 4/3*z - 2/3*z**2 + w*z**4 - 4/3*z**3 + 0 = 0.
-1, 0, 1, 2
Let x(w) be the second derivative of -3*w**5/40 - 31*w**4/6 + 71*w**3/4 - 43*w**2/2 - 2336*w. Factor x(m).
-(m - 1)*(m + 43)*(3*m - 2)/2
Suppose -g - 9 = 4*t, 5*g + 4*t = -1 + 4. Let u(m) be the second derivative of -13*m - 25/6*m**6 - 5/2*m**5 - 5/12*m**4 + 0*m**2 + 0 + 0*m**g. Factor u(z).
-5*z**2*(5*z + 1)**2
Let x(l) be the first derivative of 5*l**6/6 - 26*l**5 + 275*l**4 - 2680*l**3/3 - 2240*l**2 + 12800*l + 1699. Suppose x(y) = 0. Calculate y.
-2, 2, 8, 10
Find m such that -10900 - 4*m**2 - 381*m - 17077 + 1905 - 6328 - 339*m = 0.
-90
Suppose 0 = -5*t + 3*f + 163, -4*t + 3*f + 0*f = -128. Let c**5 + 13*c**4 + t*c**4 - 36*c**4 = 0. Calculate c.
-12, 0
Suppose -2*i = 6 - 14. Let t(o) = o**3 + 5*o**2 + 3*o + 1. Let w be t(-2). Factor 6*m**2 + w - 5 - 4*m**2 + i*m.
2*(m + 1)**2
Let f(s) be the second derivative of 1/4*s**2 - 19/12*s**3 + 0 + 37/96*s**4 + 130*s. Factor f(r).
(r - 2)*(37*r - 2)/8
Let t be 1 + 8*-1 + -6 + 7. Let f(x) = 13 + 4*x + 13*x + 13*x**2 + 4*x**2. Let g(j) = -8*j**2 - 8*j - 6. Let s(y) = t*f(y) - 13*g(y). What is o in s(o) = 0?
-1, 0
Let w be (-8)/(-48) - 29/(-6). Suppose 109*d + 79*d - 145 + w*d - 43*d - 5*d**2 = 0. Calculate d.
1, 29
Suppose 0 = 3*v - 2*h - 11778, 4*h + 19630 = 5*v - h. Factor 29376*r + 2418 + 592*r**4 + 27*r**5 + 11418*r**3 - 11*r**5 + 4494 - v*r**3 + 34704*r**2.
4*(r + 12)**3*(2*r + 1)**2
Let j(w) = 6*w**3 + 11*w**2 + 5*w - 1. Let l(y) = -y**4 - y - 1. Suppose -5*m - 27 = o - 3*o, 0 = -5*m - o - 24. Let g(a) = m*j(a) + 5*l(a). Factor g(x).
-5*x*(x + 1)*(x + 2)*(x + 3)
Let k(i) = 10*i**3 + 702*i**2 - 656*i - 24. Let m(o) = 4*o**3 + 235*o**2 - 218*o - 9. Let l(p) = -3*k(p) + 8*m(p). Find a, given that l(a) = 0.
0, 1, 112
Find p, given that -106/7*p + 14*p**3 - 36/7 - 150/7*p**