). Let v(n) = 0. What is n?
-14, 0, 1
Solve -13/2*y**2 - 4*y + 6 - 1/2*y**5 + 9/2*y**3 + 1/2*y**4 = 0 for y.
-3, -1, 1, 2
Suppose m = 3*h + 26 - 4, 5*h + 38 = 2*m. Let n be h/(-18) + (0/1)/(-3). Solve n - 1/3*l + 1/3*l**3 - 1/3*l**2 = 0 for l.
-1, 1
Factor 10*i**3 + 4*i**4 - 41*i**3 + 192*i**2 - 21*i**3 - 144*i - 3 + 3.
4*i*(i - 6)**2*(i - 1)
Let s(i) be the second derivative of i**6/20 + i**5/20 - 3*i**4/8 - i**3 - i**2 - 7*i + 172. Suppose s(d) = 0. What is d?
-1, -2/3, 2
Let k(b) be the third derivative of b**6/40 + 149*b**5/20 + 160*b**2 - 1. Determine y so that k(y) = 0.
-149, 0
Let k = 83937/11635 + -33/2327. Find x, given that k + 24*x - 21/5*x**2 = 0.
-2/7, 6
Let r be (6/4)/((-111)/3700). Let k be (r - -48)*7/(-4). Solve -3/2 - a**2 - k*a = 0 for a.
-3, -1/2
Let y(l) be the third derivative of -3*l**5/10 - 2416*l**4/3 + 716*l**3 - 8416*l**2. Factor y(a).
-2*(a + 1074)*(9*a - 2)
Find a such that 26/5*a**3 + 0 + 24*a**2 - 1/5*a**4 + 0*a = 0.
-4, 0, 30
Let v(j) be the third derivative of 7/48*j**4 - j**3 + 0*j - 16*j**2 + 0 - 1/120*j**5. Find z such that v(z) = 0.
3, 4
Let f = 70 + -66. Suppose -8 = -g + f*y, 2*g - 5*y - 10 = -2*g. Factor 5/6*d**4 - 5/6*d - 5/6*d**2 + g + 5/6*d**3.
5*d*(d - 1)*(d + 1)**2/6
Suppose 489 + 87 + 118*w**2 - 2784*w + 580*w**3 + 1200*w**2 + 1806*w**2 + 25*w**4 = 0. What is w?
-12, 2/5
Suppose -31*t = -24*t - 112. Factor -8*v**2 - 10*v**2 - 62 + t*v**2 - 24*v - 10.
-2*(v + 6)**2
Let z(k) be the third derivative of k**7/840 - 17*k**5/40 + 25*k**4/12 - 33*k**3/8 + 264*k**2 - 17. Let z(j) = 0. Calculate j.
-11, 1, 9
Let l be -2 + 3/(15/13). Suppose -34*c + 57*c = -844*c. Solve c + 1/5*s**3 - l*s**2 + 0*s = 0 for s.
0, 3
Let p(i) be the third derivative of -i**5/15 - 980*i**4 - 5762400*i**3 + 702*i**2 - 2*i + 2. Factor p(r).
-4*(r + 2940)**2
What is z in 3*z**3 - 17196*z**2 - 17195*z**2 - 24*z + 34397*z**2 = 0?
-4, 0, 2
Let a(t) = -5*t**2 + 2*t. Let n(l) = 7*l**2 - 18*l - 8. Let y(j) = 2*a(j) + n(j). Solve y(u) = 0 for u.
-4, -2/3
Determine o so that -38/5*o**4 - 4/5*o + 38/5*o**2 + 0 + 4/5*o**3 = 0.
-1, 0, 2/19, 1
Let g = 1050817/82095 - 1/82095. Find x such that 28/5*x**4 - 4/5*x**5 - 76/5*x**3 + 16/5 + 20*x**2 - g*x = 0.
1, 2
Let h be (1 + (0 - 9) - 4*(-6 + 3)) + 1. Solve -232/9*w**3 + 0 + 2/3*w**4 - 296/9*w**2 + 2*w**h - 32/3*w = 0 for w.
-3, -2/3, 0, 4
Let q = 10/111 - -26/259. Let t(m) be the first derivative of -15 - q*m**3 - 12/7*m - 8/7*m**2. Factor t(h).
-4*(h + 1)*(h + 3)/7
Let c(i) be the first derivative of 2*i**5/15 + 29*i**4/3 + 110*i**3/9 - 38*i**2 + 3629. What is z in c(z) = 0?
-57, -2, 0, 1
Suppose -31*a + 25*a - 12 = -2*w, -68 = -a - 3*w. Factor 1/3*k**3 + 0*k + a*k**2 + 0.
k**2*(k + 15)/3
Let j(g) be the third derivative of -1/96*g**4 + 63*g**2 + 1/480*g**6 - 1/24*g**3 + 0 + 1/240*g**5 + 0*g. Factor j(u).
(u - 1)*(u + 1)**2/4
Let t(n) be the first derivative of 2*n - 1/2*n**2 - 1/3*n**3 + 11. Solve t(u) = 0 for u.
-2, 1
Let u(m) be the second derivative of -1/4*m**2 - 53*m - 7/24*m**3 + 1/8*m**4 - 1/30*m**6 + 0 + 7/80*m**5. Let u(c) = 0. What is c?
-1, -1/4, 1, 2
Let -4*j**4 + 1800*j**2 + 1784 - 66072*j + 680 + 69736*j + 284*j**3 = 0. What is j?
-2, 77
Let x(r) be the first derivative of -r**6/2160 + r**5/60 + 13*r**4/144 + 107*r**3/3 - 186. Let l(n) be the third derivative of x(n). Factor l(t).
-(t - 13)*(t + 1)/6
Let u(j) = -2*j**3 - 2*j**2 - j + 1. Let n(t) = 23*t**3 - 12*t**2 - 42*t - 17. Let x(v) = n(v) + 5*u(v). Determine r so that x(r) = 0.
-1, -4/13, 3
Let o = 194302 + -1748714/9. Find m such that -o*m**3 + 0 + 4/9*m**4 - 64/9*m**2 - 80/9*m = 0.
-2, 0, 5
Let k(u) be the first derivative of u**5/15 - 37*u**4/12 + 2993. Let k(z) = 0. Calculate z.
0, 37
Let z = 1336/7 - 2539/14. Factor 1/2*f**5 - 7/2*f**4 + 8*f - 25/2*f**2 - 2 + z*f**3.
(f - 2)**2*(f - 1)**3/2
Let v(j) be the second derivative of 16/21*j**3 + 15/7*j**2 + 26*j + 0 + 1/42*j**4. Determine s so that v(s) = 0.
-15, -1
Find c, given that 50*c**2 - 165*c - 12 + 150*c**3 - 95*c**4 + 46 + 11 - 12*c**5 + 27*c**5 = 0.
-1, 1/3, 1, 3
Factor -339/5*m + 6/5*m**2 + 654/5.
3*(m - 2)*(2*m - 109)/5
Let 1/8*h**2 + 31752 + 126*h = 0. What is h?
-504
Let t = -11455 + 11460. Let b(v) be the first derivative of 18 + 0*v + 1/30*v**6 + 0*v**2 + 3/25*v**t + 3/20*v**4 + 1/15*v**3. Factor b(g).
g**2*(g + 1)**3/5
Suppose -3*k - 45 = -4*r - 28, r + 2*k + 4 = 0. Let t(l) be the second derivative of 1/5*l**r + 0 - 1/30*l**4 + 0*l**3 - 12*l. What is f in t(f) = 0?
-1, 1
Let n(a) = 3*a**4 - 2933*a**3 + 213113*a**2 + 438094*a + 7. Let h(f) = 2*f**4 - 1467*f**3 + 106557*f**2 + 219046*f + 3. Let i(o) = 7*h(o) - 3*n(o). Factor i(x).
5*x*(x - 148)**2*(x + 2)
Let j(q) be the first derivative of q**4/28 - 2*q**3/3 + 20*q**2/7 + 1020. Suppose j(c) = 0. What is c?
0, 4, 10
Let r(f) = -f - 9. Let m be r(-12). Let c(n) be the third derivative of 0*n**m + 2*n**2 + 0*n + 0*n**5 + 1/60*n**4 + 0 - 1/300*n**6. Factor c(k).
-2*k*(k - 1)*(k + 1)/5
Let i(l) be the second derivative of -1/135*l**6 + 0*l**3 + 0 + 0*l**2 + 1/54*l**4 - 1/90*l**5 - 113*l + 1/189*l**7. Factor i(b).
2*b**2*(b - 1)**2*(b + 1)/9
Suppose -48 = -36*w + 32*w. Suppose -16*q = -19*q + w. Factor -43 - 34*j**4 - 152*j**2 - q*j**5 - 121*j - 100*j**3 + 9*j + 2*j**4 + 11.
-4*(j + 1)**2*(j + 2)**3
Let n be ((-2)/34)/(1/(-2)). Suppose 28*q - 19*q + 48614 = -66*q + 48764. Factor 10/17*v + 12/17 - n*v**q.
-2*(v - 6)*(v + 1)/17
Let d(o) = o**3 - 119*o**2 - 1434*o + 524. Let q be d(130). What is p in 0*p**3 + 1/6*p**q - 7/6*p**2 + p + 0 = 0?
-3, 0, 1, 2
Suppose 136 = 2*c - 6*c + 4*n, 3*c = -3*n - 132. Let k be c/(-7) - (-24)/(-42). Solve 1/3*i**4 + 0 - 1/3*i**k - 1/3*i**2 + 0*i + 1/3*i**3 = 0 for i.
-1, 0, 1
Let t be (624/390)/(0 - 2)*25/(-10). What is v in -2 - v**t + 11/3*v = 0?
2/3, 3
Let n(g) be the third derivative of -g**7/42 + 15*g**6/8 - 125*g**5/3 + g**2 + 3*g - 7. Factor n(b).
-5*b**2*(b - 25)*(b - 20)
Let o(n) be the second derivative of n**5/40 - 397*n**4/24 + 3300*n**3 - 9801*n**2 + 7088*n. Factor o(t).
(t - 198)**2*(t - 1)/2
Let w(u) be the third derivative of -u**4/2 + 8*u**3/3 - 19*u**2. Let f(i) = i**2 - i. Let z = 156 + -155. Let y(k) = z*w(k) + 4*f(k). Factor y(r).
4*(r - 2)**2
Suppose -83*u + 4*u**2 + 3*u**3 - u**4 + 38*u + u**2 + 36 + 2*u**3 = 0. What is u?
-3, 1, 3, 4
Factor -120*g - 14/5*g**3 - 2/25*g**4 - 32*g**2 + 0.
-2*g*(g + 10)**2*(g + 15)/25
Suppose 683*h = 689*h - 1314. Let q = h + -433/2. Find g such that -25/2*g**2 + 10*g + 5/2*g**5 - 25/2*g**3 + 10 + q*g**4 = 0.
-2, -1, 1, 2
Let a(j) = 6*j**2 + 3*j + 5. Let b be (-2)/(0 + -2) + 0. Let d(h) be the first derivative of -h**3/3 - h - 373. Let q(p) = b*a(p) + 5*d(p). Factor q(n).
n*(n + 3)
Let d = 1734/19 - 20789/228. Let j(i) be the second derivative of 0 - 1/160*i**5 + 0*i**2 - 5/96*i**4 - 11*i - d*i**3. Factor j(n).
-n*(n + 1)*(n + 4)/8
Let o(u) be the third derivative of 0 - 1/120*u**4 + 0*u**3 + 0*u + 72*u**2 - 1/300*u**5. Find b such that o(b) = 0.
-1, 0
Suppose 108 = -14*s + 38. Let d(y) = 8*y + 42. Let p be d(s). Solve 3 - 26*n**3 + 0 + 42*n - 10*n - 8*n**4 + 5 - 6*n**p = 0.
-2, -1/4, 1
Factor -194092*y**2 + 22*y**3 + 1116*y + 828 - 18*y**3 + 194384*y**2.
4*(y + 1)*(y + 3)*(y + 69)
Factor -2/7*d**2 + 288/7*d + 290/7.
-2*(d - 145)*(d + 1)/7
Let x be (1/(-2))/(43/(-172)). Let 26*v + 96*v**2 + 27 - 47*v**2 + 4*v - 46*v**x = 0. Calculate v.
-9, -1
Suppose 0 = -u - 7 + 24, 11*s - 5*u = -122 + 37. Let 2/5*b**3 + 0 + s*b + 16/5*b**2 = 0. Calculate b.
-8, 0
Factor 4356 + 400/9*o**2 + 2/9*o**3 + 2266*o.
2*(o + 2)*(o + 99)**2/9
Let w(a) = a**2 - 4*a + 13. Let z(s) = -s - 1. Let r(l) = w(l) + 5*z(l). Let m be r(8). Solve m + 2*g**3 + 9 - g + 0*g**2 - 5*g**2 - 3 = 0.
-1, 3/2, 2
Let m(w) be the second derivative of w**4/6 - 33*w**3 + 968*w**2 - 13408*w. Factor m(p).
2*(p - 88)*(p - 11)
Determine b so that 2697/5*b**3 - 3/5*b**4 + 0*b**2 + 0 + 0*b = 0.
0, 899
Let j = 1870939/5 - 374185. Solve -j*n + 1/5*n**2 + 33/5 = 0.
3, 11
Let w(x) = x**2 - x + 5. Let u be w(4). Factor -10*a**2 + 0*a - u*a + 40 - 3*a + 5*a**3.
5*(a - 2)**2*(a + 2)
Let t be (6/9 - 1)*-12. Suppose -t*u - 10 = -9*u. Suppose -4*z**2 - 25*z**3 - 4*z + 0*z**u + 6*z**4 - 2*z**4 + 29*z**3 = 0. Calculate z.
-1, 0, 1
Let s = 2309 - 81. Factor 4*r - 4*r**2 + 2224 - s + 3*r**2.
-(r - 2