a**5/120 - a**4/4 - 6*a**2 - 11*a + 24. Solve j(z) = 0 for z.
-4, -3, -2, 0, 1/2
Let v(s) = -4*s**3 + 1521*s**2 + 10*s - 1524. Let a(o) = -12*o**3 + 4564*o**2 + 28*o - 4572. Let x(p) = 3*a(p) - 8*v(p). Factor x(c).
-4*(c - 381)*(c - 1)*(c + 1)
Let a(y) be the second derivative of y**6/25 + 4*y**5/5 + y**4/3 - 8*y**3/3 - 13*y**2/5 + 1153*y. What is g in a(g) = 0?
-13, -1, -1/3, 1
Let i(a) be the third derivative of -a**6/300 - 31*a**5/50 - 141*a**4/4 + 2209*a**3/15 - 86*a**2 + 5. Determine b, given that i(b) = 0.
-47, 1
Let v(o) be the second derivative of 4*o**6/135 - 251*o**5/90 - 193*o**4/18 - 389*o**3/27 - 65*o**2/9 - 1373*o. Let v(z) = 0. Calculate z.
-1, -1/4, 65
Let w be 6/(0 + (-15)/(-10)). Suppose -3*p - w*x - 9 = -41, 2*p + 4*x - 28 = 0. Factor p*g**2 + 3*g**2 - g**3 - 6*g**2 - 1 + g.
-(g - 1)**2*(g + 1)
Factor 2/7*p**3 + 0 - 188/7*p**2 + 368/7*p.
2*p*(p - 92)*(p - 2)/7
Let d(y) be the third derivative of -y**5/12 + 145*y**4/6 - 8410*y**3/3 + 410*y**2 - 2. Factor d(s).
-5*(s - 58)**2
Let y(p) be the first derivative of -15*p**4/8 - 595*p**3/6 + 50*p**2 - 2033. Factor y(z).
-5*z*(z + 40)*(3*z - 1)/2
Let k be ((-91)/(-39))/((-1)/(-3)). Solve -1309 - k*l - 3*l - 2*l**4 + 10*l**3 - 10*l**2 + 1321 = 0.
-1, 1, 2, 3
Let c(p) be the third derivative of 0*p + 0 + 1/20*p**5 + 95*p**2 - 13/24*p**4 + 2/3*p**3. What is u in c(u) = 0?
1/3, 4
Let g(p) = 189*p**3 + 1128*p**2 + 1476*p - 51. Let r(j) = -1. Let v(c) = -g(c) + 3*r(c). Factor v(f).
-3*(f + 2)*(f + 4)*(63*f - 2)
Let x(i) be the third derivative of i**8/84 - 8*i**7/105 + i**6/10 + 4*i**5/15 - 2*i**4/3 - i**2 - 79. Solve x(q) = 0 for q.
-1, 0, 1, 2
Let a(x) be the third derivative of x**6/720 + 23*x**5/360 + 143*x**4/144 + 121*x**3/36 + 1918*x**2. Determine k so that a(k) = 0.
-11, -1
Let 2/5*t**2 - 102/5*t + 20 = 0. What is t?
1, 50
Factor -521*d - 271441 - 1/4*d**2.
-(d + 1042)**2/4
Let q be (2/(-4))/(88/32 + -3). Let m(b) = 11 + 0 + 8 + 6*b**2 - 18*b + q. Let x(y) = 3*y**2 - 9*y + 11. Let z(j) = 5*m(j) - 9*x(j). Let z(c) = 0. What is c?
1, 2
Let w = -1733561 + 1733561. Determine q, given that w + 1/3*q**2 - 64/3*q = 0.
0, 64
Factor 4862*a - 25*a**2 + 1283 - 113 - 1947*a.
-5*(a - 117)*(5*a + 2)
Let m(v) = -9*v**3 + 148*v**2 - 309*v + 140. Let l(i) = -10*i**3 + 148*i**2 - 314*i + 140. Let o(w) = -5*l(w) + 6*m(w). Let o(y) = 0. What is y?
1, 35
Let q(i) = 3*i**2 + 237*i - 1482. Let y(s) = 13*s + 2. Let g(p) = -q(p) + 9*y(p). Factor g(d).
-3*(d - 10)*(d + 50)
Let d be 70*(5463/3035 + (-62)/40). Factor 145/4*m + 5/2 + d*m**2.
5*(m + 2)*(14*m + 1)/4
Let z be -74 - -89 - (-26)/(-2). Let w(m) be the second derivative of -2/45*m**3 - 1/90*m**4 + 0 + 9*m + 0*m**z. Find l, given that w(l) = 0.
-2, 0
Let s = -59 + -261. Let l = -318 - s. Solve -1/2*q**l + 5/2*q - 3 = 0 for q.
2, 3
Suppose -190*x - 40 = -192*x. Let 5*w - 12*w + 0*w + x*w - w**2 = 0. What is w?
0, 13
Let k(u) be the first derivative of -2*u**5/35 + 25*u**4/2 + 356*u**3/21 - 352*u**2/7 + 15382. Suppose k(x) = 0. What is x?
-2, 0, 1, 176
Let g(p) = -p**2 + 97*p - 550. Let l(i) = -i - 50. Let b(z) = -4*g(z) + 44*l(z). Factor b(x).
4*x*(x - 108)
Let w(h) = 27*h - 400. Let t be w(16). Find f, given that t*f + 8*f + 767 - 8*f - 736 + f**2 = 0.
-31, -1
Let s(c) be the second derivative of -17/5*c**5 - 14/5*c**6 - 8/21*c**7 + 17/3*c**4 + 14*c**3 + 8 + 8*c + 8*c**2. Solve s(m) = 0.
-4, -1, -1/4, 1
Suppose -4*i - 20 + 28 = 0. Factor -7*j**2 + 128*j**3 - 120*j**3 - 2*j**4 - 2*j**i + 3*j**2.
-2*j**2*(j - 3)*(j - 1)
Let q(l) = l**2 - 16*l - 2334. Let a be q(-41). Factor 13/5*i - 22/5*i**2 + 18/5*i**a - 3/5 + 1/5*i**5 - 7/5*i**4.
(i - 3)*(i - 1)**4/5
Let p be (-3022)/(-20) + 12/(-120). Let t be (-9)/(-2 + 66/34). Factor -c**3 - p*c + t*c - 2*c**2 + c**2.
-c*(c - 1)*(c + 2)
Let x(f) = 73*f**2 - 64*f + 105. Let b(h) = 60*h**2 - 63*h + 105. Let j(q) = 5*b(q) - 4*x(q). Find m such that j(m) = 0.
3, 35/8
Let d(l) be the first derivative of l**4/24 - 167*l**3/18 + 7055*l**2/12 - 6889*l/6 + 2020. Let d(g) = 0. Calculate g.
1, 83
Let v(c) be the second derivative of -c**6/225 - 23*c**5/50 + 154*c**4/15 - 3824*c**3/45 + 1728*c**2/5 + 3659*c. Let v(f) = 0. What is f?
-81, 4
Let z(l) = 3*l**5 + 602*l**4 + 17996*l**3 - 4*l**2 + 2. Let w(p) = -20*p**5 - 4215*p**4 - 125970*p**3 + 30*p**2 - 15. Let t(g) = -2*w(g) - 15*z(g). Factor t(f).
-5*f**3*(f + 60)**2
Let q be ((72/(-5))/4)/((-2)/400). Let n be -1 + -3 + (-37)/((-4662)/q). Factor -n*d**3 + 4*d**2 + 0 + 24/7*d.
-4*d*(d - 3)*(3*d + 2)/7
Factor 27*o**2 + 1472 - 313 - 207*o + 689 - 30*o**2.
-3*(o - 8)*(o + 77)
Let u(l) = -18*l**4 + 9*l**3 + 18*l**2 - 15*l - 3. Let f(a) = a**5 + 2*a**4 - 2*a**2 + a + 1. Let k(o) = 3*f(o) + u(o). Factor k(n).
3*n*(n - 2)**2*(n - 1)*(n + 1)
Let t(w) be the first derivative of -w**3 - 84*w**2 - 324*w - 3035. Factor t(n).
-3*(n + 2)*(n + 54)
Factor 0 + 2/13*k**2 - 268/13*k.
2*k*(k - 134)/13
Let i be ((-842)/(-248))/((-171)/(-76)). Let f = i + -33/31. Factor 4/9*a - 2/9*a**4 + 0 + 2/9*a**2 - f*a**3.
-2*a*(a - 1)*(a + 1)*(a + 2)/9
Determine c, given that -530 - 111*c + 15*c**2 + 8*c**2 + 656 + 3*c**2 - c**3 = 0.
2, 3, 21
Factor 10*b**2 - 4639*b + 4595*b - 8 - 19 - 3.
2*(b - 5)*(5*b + 3)
Let b(l) be the second derivative of l**7/2520 + 7*l**6/720 + l**5/20 + 7*l**4/3 - l - 32. Let u(a) be the third derivative of b(a). Factor u(d).
(d + 1)*(d + 6)
Let a = -25813 - -25819. Let i(g) be the second derivative of 0 + 3/2*g**2 + 2/3*g**3 - 19*g - 7/6*g**4 + 1/10*g**a + 1/5*g**5. Factor i(h).
(h - 1)**2*(h + 3)*(3*h + 1)
Let s(o) be the second derivative of o**6/120 + o**5/16 - 11*o**4/8 + 5722*o. Factor s(r).
r**2*(r - 6)*(r + 11)/4
Suppose 288*n - 19 - 722 = 123. Let y(f) be the first derivative of 25 - 4/5*f + 3/5*f**2 - 2/15*f**n. What is t in y(t) = 0?
1, 2
Solve -3960*y - 44/3*y**3 - 2/9*y**4 - 362*y**2 - 16200 = 0.
-18, -15
Let v(n) = -3*n**2 + 280*n - 2497. Let l be v(10). Suppose 5*x**4 + 0*x + 0 - 1/2*x**2 - 7/4*x**l - 11/4*x**5 = 0. What is x?
-2/11, 0, 1
Let l(p) be the second derivative of 363/2*p**2 - 110*p**3 + 39/2*p**4 + 1/10*p**6 - 51*p + 3*p**5 - 3. Factor l(s).
3*(s - 1)**2*(s + 11)**2
Let k(y) be the third derivative of -5*y**6/8 - 1203*y**5/4 + 2409*y**4/8 - 241*y**3/2 + 8*y**2 + 19. Suppose k(m) = 0. Calculate m.
-241, 1/5
Let o(l) be the first derivative of 2*l**3/21 + 36*l**2/7 - 74*l/7 - 335. Find i, given that o(i) = 0.
-37, 1
Determine t so that -12558/5*t - 2/5*t**3 + 104742/5 + 298/5*t**2 = 0.
11, 69
Let f = 1232963 + -8630737/7. Find i, given that -f*i**3 - 4/7*i**2 + 0 + 0*i = 0.
-1, 0
Let g(j) = -j**3 - 39*j**2 + 28*j - 151. Let v be g(-41). Let a = 2066 - v. Factor 0 + 2/19*c**2 + 12/19*c - 2/19*c**a.
-2*c*(c - 3)*(c + 2)/19
Let w(h) be the first derivative of 3*h**5/5 - 147*h**4/4 + 348*h**3 + 750*h**2 - 2400*h - 8451. Let w(b) = 0. What is b?
-2, 1, 10, 40
Factor -4/3*w**4 - 8/3*w - 37/3*w**3 + 0 - 41/3*w**2.
-w*(w + 1)*(w + 8)*(4*w + 1)/3
Let k(l) = 5*l**4 - 21*l**3 - 68*l**2 + 51*l + 60. Let o(f) = -f**4 + 4*f**3 + 13*f**2 - 10*f - 12. Let m(d) = 4*k(d) + 22*o(d). Let m(j) = 0. What is j?
-2, -1, 2, 3
Determine v, given that -60306/11 + 8418/11*v - 390/11*v**2 + 6/11*v**3 = 0.
19, 23
Let q(y) = -11298*y + 45196. Let c be q(4). Let -48/13*f**2 + 0 - 22/13*f**3 - 2/13*f**c + 72/13*f = 0. What is f?
-6, 0, 1
Suppose 12*q + 4*q = 4928. Let w = 310 - q. Suppose -24 + 96*z + 21/4*z**3 - 87/2*z**w = 0. What is z?
2/7, 4
Let x = -873 - -1169. Let f = x + -2060/7. Factor -f + 2*h - 2/7*h**2.
-2*(h - 6)*(h - 1)/7
Let g(v) be the third derivative of v**7/630 + v**6/6 + 19*v**5/15 + 28*v**4/9 - 2190*v**2 - 2. Let g(o) = 0. Calculate o.
-56, -2, 0
Suppose -7 = -0*k - k - 3*u, 17 = 3*k + 5*u. Factor 11*l**2 + 9*l**3 - 802*l - l**5 + l**k - 801*l + 1607*l.
-l*(l - 4)*(l + 1)**3
Suppose 60 = 44*q - 28. Let s be 3/((-11)/(-5) - 2). Suppose 6*z - z**q + 7*z - s*z = 0. What is z?
-2, 0
Factor 1/4*w**2 + 66 - 35/4*w.
(w - 24)*(w - 11)/4
Let v = 367475/244984 + 1/244984. Factor 0 + 1/2*c**4 + 0*c + 2*c**3 + v*c**2.
c**2*(c + 1)*(c + 3)/2
Let k(t) be the first derivative of -5*t**2 + 9 - 16/3*t**3 + 100*t - 1/2*t**4. Determine o so that k(o) = 0.
-5, 2
Let p be (-13 + 10 - (-22)/5)/(14 - 208/15). Suppose p*j + 11/2 - 1/2*j**3 + 9/2*j**2 = 0. Calculate j.
-1, 11
Let q(d) be t