 is l?
-4, 2
Let z(v) = -v**2 + 8*v - 3. Let s be z(7). Determine y so that -90*y - 413 + s*y**2 + 473 + 26*y = 0.
1, 15
Let g(f) be the third derivative of -f**7/105 + 52*f**6/15 + 631*f**5/30 + 211*f**4/6 - 6242*f**2. Factor g(n).
-2*n*(n - 211)*(n + 1)*(n + 2)
Let b = -3846 + 2594. Let j = b + 1254. Factor -1/2*u**3 - 4*u + 5/2*u**2 + j.
-(u - 2)**2*(u - 1)/2
Find u such that -30*u**3 + 39*u - 6*u - 3*u**5 - 21*u**4 + 28*u**4 + 18 - 25*u**4 = 0.
-3, -2, -1, 1
Let h(g) be the third derivative of 0 + 0*g + 96*g**2 + 0*g**3 - 5/2*g**4 - 1/24*g**6 + 7/12*g**5. What is s in h(s) = 0?
0, 3, 4
Let b(r) be the second derivative of -r**4/12 + 14*r**3/3 - 98*r**2 - 3348*r. Determine u, given that b(u) = 0.
14
Let j(m) be the third derivative of -m**5/300 + 23*m**4/5 + 553*m**3/30 - m**2 + 3134*m - 1. Find n such that j(n) = 0.
-1, 553
Let k(g) be the second derivative of -g**5/5 - 68*g**4/3 - 2842*g**3/3 - 16820*g**2 + 11514*g. Factor k(d).
-4*(d + 10)*(d + 29)**2
Let k be 1 + (-5)/((-30)/(-4)). Let a = 434564/3 + -144854. What is v in -k*v + 0 - a*v**4 + 1/3*v**5 + 2/3*v**2 + 0*v**3 = 0?
-1, 0, 1
Let d(i) be the third derivative of i**8/23520 + i**7/1764 + i**6/420 + 25*i**4/8 + 77*i**2. Let l(b) be the second derivative of d(b). Factor l(y).
2*y*(y + 2)*(y + 3)/7
Let g = 2831/1540 + 1405/308. Let -g + 2/15*j**2 - 44/15*j = 0. What is j?
-2, 24
Let t be 14/(-1792)*-2*8. Let o(d) be the first derivative of 0*d + 1/4*d**3 + t*d**2 + 1 + 3/16*d**4 + 1/20*d**5. Let o(h) = 0. Calculate h.
-1, 0
Let q be (2470/114 - 23)*3/(-2). Solve -24/7*u - 3/7*u**q - 3 = 0.
-7, -1
Suppose -7120*m = -7142*m + 88. Find p such that 6*p**3 + 1/3*p**5 + 5/3*p + 0 + 16/3*p**2 + 8/3*p**m = 0.
-5, -1, 0
Let y = 529831/4 + -132454. Let 3/4*m**2 - 9/2 - y*m = 0. What is m?
-1, 6
Let s be (21/35)/((-1)/(-5)) - 1. Factor 1608*l**s + 2*l**3 - 990*l**2 + 8650*l - 984*l**2 - 54*l - 16562 + 8330*l.
2*(l - 91)**2*(l - 1)
Let o(y) = -9*y**4 + 211*y**3 + 679*y**2 + 685*y + 230. Let m(a) = 80*a**4 - 1900*a**3 - 6110*a**2 - 6165*a - 2070. Let k(x) = -4*m(x) - 35*o(x). Factor k(n).
-5*(n - 46)*(n + 1)**3
Suppose -306 = -414*z + 380*z. Suppose 7*k + 17 = 3*x + z*k, -10 = -2*x - k. Solve -d**x + d**2 + 1/2*d**5 - 1/2 - 1/2*d**4 + 1/2*d = 0 for d.
-1, 1
Let u(s) = 340*s**2 + 370*s + 95. Let k(h) = 21*h**2 + 23*h + 6. Let z(n) = 65*k(n) - 4*u(n). Solve z(o) = 0 for o.
-2, -1
Let m(i) be the third derivative of -7*i**5/540 - 37*i**4/216 - 5*i**3/9 - 1356*i**2. Factor m(u).
-(u + 1)*(7*u + 30)/9
Let w be (-1060)/(-1855) - (-40)/126. What is f in -2/9*f**2 - 2/3 - w*f = 0?
-3, -1
Let w(g) = 55*g**2 + 27*g + 59. Let j be w(-2). Suppose j - 189 = 18*l. Find n such that 0 - 18*n - 6*n**l - 1/2*n**3 = 0.
-6, 0
Let h be ((-4089408)/108 + 12)*84/(-49). Factor 2238728/3 + h*n + 92/3*n**3 + 1/6*n**4 + 2116*n**2.
(n + 46)**4/6
Let y(p) be the second derivative of p**5/4 - 35*p**4/2 + 595*p**3/6 - 195*p**2 + 331*p. Let y(u) = 0. Calculate u.
1, 2, 39
Let v(z) = -8*z**4 + 6*z**3 - 19*z**2. Let i(m) = 7*m**4 - 6*m**3 + 14*m**2. Let d(a) = -7*i(a) - 6*v(a). Factor d(s).
-s**2*(s - 8)*(s + 2)
Solve -1/6*i**3 + 0*i + 91/3*i**2 + 0 = 0 for i.
0, 182
Let o be 5 + (-321)/72 - ((-117)/(-24) - 5). Factor 0 - 1/3*j**3 + 1/3*j**2 + o*j.
-j*(j - 2)*(j + 1)/3
Suppose 20951*k**4 + 980 + 175*k - 20956*k**4 - 35*k - 34*k**3 - 975*k**2 - 69*k**3 - 37*k**3 = 0. What is k?
-14, -1, 1
Let l(o) be the first derivative of -3*o**4/4 - 13*o**3 - 141*o**2/2 - 105*o - 1700. Solve l(u) = 0.
-7, -5, -1
Factor -2240*f**3 - 75*f**2 - 136*f - 73*f**2 + 2162*f**3 - 10*f**4 - 10*f**4 - 48 - 2*f**5.
-2*(f + 1)*(f + 2)**3*(f + 3)
Let u(h) be the third derivative of h**6/1980 + h**5/330 + 71*h**3/6 - 157*h**2. Let a(g) be the first derivative of u(g). Factor a(z).
2*z*(z + 2)/11
Let u(i) be the third derivative of 20/3*i**3 + 0 + 0*i - 1/2*i**5 + 5/6*i**4 - 99*i**2 - 5/24*i**6 - 1/42*i**7. Let u(r) = 0. Calculate r.
-2, 1
What is c in 2/17*c**2 + 2/17*c**5 - 42/17*c**3 - 2/17*c**4 + 0 + 40/17*c = 0?
-4, -1, 0, 1, 5
Suppose 3*d + 6 = 3*q - 3, -3*d + 27 = 3*q. Suppose -q*a - 7 = -37. Factor -b + 12 + 8*b - 2*b**2 - a*b.
-2*(b - 3)*(b + 2)
Let g(j) be the first derivative of j**7/8820 - j**6/252 + 23*j**5/1260 + 13*j**4/84 + 53*j**3/3 - 83. Let s(t) be the third derivative of g(t). Factor s(n).
2*(n - 13)*(n - 3)*(n + 1)/21
Suppose 60 = 2*n + 50. Suppose -57*w**4 - 89*w**2 + 2*w**4 - 5*w**2 + 14*w**2 - 130*w**3 - n*w**5 = 0. What is w?
-8, -2, -1, 0
Suppose 31*g + 2850 = 30*g. Let n be (-25)/(g/133)*(-4)/(-7). Determine u so that n*u**2 + 1/3*u**3 + 0 + 1/3*u = 0.
-1, 0
Let d(z) = -166*z**3 + 810*z**2 + 40*z + 6. Let k(o) = -333*o**3 + 1619*o**2 + 80*o + 15. Let b(l) = 5*d(l) - 2*k(l). Factor b(g).
-4*g*(g - 5)*(41*g + 2)
Factor -19*b**3 + 9*b**2 + 50*b**3 - 28*b**3 + 24*b + 9*b**2.
3*b*(b + 2)*(b + 4)
Let z = -328 + 324. Let f be -2 - (z/18 + 1028/(-72)). Factor -5/2*d**3 - 15/2 - f*d**2 - 35/2*d.
-5*(d + 1)**2*(d + 3)/2
Let i(m) = 12*m**2 + 51*m - 3. Suppose -4*k = -2*w - 66, w + 18 = k - 0*k. Let v(h) = 113 - 186 + 74. Let d(n) = k*v(n) + i(n). Factor d(t).
3*(t + 4)*(4*t + 1)
Factor -46/5*p**2 - 44/5*p - 2/5*p**3 + 0.
-2*p*(p + 1)*(p + 22)/5
Let j = 20/17187 - -154523/137496. Find a, given that 3/8*a + 9/8*a**2 - j*a**4 + 3/8*a**3 - 3/4*a**5 + 0 = 0.
-1, -1/2, 0, 1
Let o(z) be the first derivative of 2*z**3/15 + 986*z**2/5 + 486098*z/5 - 3574. Factor o(t).
2*(t + 493)**2/5
Suppose 0 = 4*h - 5*a + 132, -2*a - 20 = -3*h - 112. Let f = -24 - h. Factor -64*b + 64*b - 4*b**f - 5*b**3 - b**4.
-5*b**3*(b + 1)
Solve -2*s**2 - 6/5 - 2/5*s**3 - 14/5*s = 0 for s.
-3, -1
Suppose h + 188 = 5*s, 3*s = h + 4*h + 126. Let p(t) = -t**3 - 2*t**2 + 10. Let v be p(-3). Factor 4*m**2 - 49 + v + s - 28*m + 17.
4*(m - 6)*(m - 1)
Let h(p) be the first derivative of p**4/4 + 4*p**3 - 145*p**2/2 + 300*p + 6915. Determine x, given that h(x) = 0.
-20, 3, 5
Let y(l) be the third derivative of -l**6/360 - l**5/180 + 5*l**4/72 - l**3/6 + l**2 + 132. What is i in y(i) = 0?
-3, 1
Let n(v) be the second derivative of -v**5/80 + 7*v**4/48 + 5*v**3/4 + 10*v - 73. Factor n(r).
-r*(r - 10)*(r + 3)/4
Let r(u) be the first derivative of -u**5/2 + 85*u**4/8 - 95*u**3/2 + 335*u**2/4 - 65*u + 325. What is o in r(o) = 0?
1, 2, 13
Let l(z) be the third derivative of z**6/360 - 269*z**5/45 - z**2 + 341*z + 5. Solve l(v) = 0 for v.
0, 1076
Let d = 202 + -172. Suppose -n + d = 28. Determine x so that 0 - 1/7*x + 1/7*x**n = 0.
0, 1
Suppose -15*d = -31*d + 22*d. Let r(i) be the first derivative of 1/18*i**2 - 1/45*i**5 - 1/36*i**4 - 12 + d*i + 1/27*i**3. Suppose r(s) = 0. What is s?
-1, 0, 1
Let u be 4/((-16)/6) - 247/(-26). Let 0*h**3 - 10*h**2 + u*h**4 + 0*h**4 + 2*h**4 + 5*h**3 - 5*h**5 = 0. Calculate h.
-1, 0, 1, 2
Let b(a) be the second derivative of 0*a**5 + 25*a + 0*a**4 + 1/900*a**6 + 0*a**3 + 23/2*a**2 + 0. Let r(y) be the first derivative of b(y). Solve r(i) = 0.
0
Let q(j) be the third derivative of 36*j - 1/20*j**5 - 49/2*j**3 + 0 + 7/4*j**4 + j**2. Suppose q(d) = 0. What is d?
7
Let s(d) = 20052*d - 80205. Let z be s(4). Determine j so that 408/11*j - 144/11 - 32/11*j**4 - 412/11*j**2 + 2/11*j**5 + 178/11*j**z = 0.
1, 2, 6
Suppose -54860*k + 54855*k + 5*h = -85, 4*k + 51 = -3*h. Determine r, given that -150/7*r**2 + 24/7*r**4 - 15/7*r**3 + k*r + 0 - 3/7*r**5 = 0.
-2, 0, 5
Let r be (-24)/10*((-5)/14)/(292/511). Let v be (-9)/(-4)*(-2)/(-12). Determine m so that -r*m + v*m**2 + 0 = 0.
0, 4
Let f be -4 - 1494/(-336) - (-18)/(-48). Let q(n) be the third derivative of -2/7*n**3 + 17*n**2 - 1/140*n**5 + 0 - f*n**4 + 0*n. Factor q(d).
-3*(d + 2)**2/7
Let l(d) = 14*d**2 - 7*d + 29. Let x be l(5). Factor -121*n**5 - 76*n**4 + 59*n**5 - x*n**3 - 364*n - 536*n**2 + 66*n**5 - 92.
4*(n - 23)*(n + 1)**4
Let q be (1 + -2 + 1)*(-3683)/7366. Solve 32/7*o + 48/7*o**2 + 24/7*o**3 + 4/7*o**4 + q = 0.
-2, 0
Let v(w) = -10300*w - 10297. Let c be v(-1). Suppose 0 - 6/7*u**2 + 8/7*u - 2/7*u**c = 0. What is u?
-4, 0, 1
Let y(x) be the second derivative of x**4/16 + 341*x**3/2 + 2520*x. Factor y(f).
3*f*(f + 1364)/4
Factor -152/7*t**2 - 288/7 - 1/7*t**4 - 3*t**3 - 60*t.
-(t + 1)*(t + 6)**2*(t + 8)/7
Let j = -219 + 223. Let z(s) = -369*s**2 + 340*s + 18. Let g(q) = -123*q**2 + 113*q + 6. Let b(a) = 