*5 - 22/15*i**6. Factor l(z).
-4*z*(z + 2)**3*(z + 5)
Let v be 20 + 14*4/8. Suppose -x**2 - v*x + 19*x + 15*x = 0. What is x?
0, 7
Find g, given that -46673*g**4 - 232*g - 8*g + 4*g - 184*g**2 + 240 + 46735*g**4 + 117*g**3 + g**5 = 0.
-60, -2, 1
Solve -27/2 - 600*v**2 - 180*v = 0.
-3/20
Solve -566/9*o + 2/9*o**4 + 380/9 - 2/3*o**2 + 190/9*o**3 = 0 for o.
-95, -2, 1
Let y(b) be the second derivative of b**7/105 + 22*b**6/25 + 126*b**5/25 + 124*b**4/15 + 23*b - 7. Solve y(t) = 0.
-62, -2, 0
Let c(a) be the second derivative of a**6/90 + a**5/4 - 11*a**4/12 + 17*a**3/18 - 749*a. Factor c(z).
z*(z - 1)**2*(z + 17)/3
Suppose 19*g - 4900 = 5*g. Let m = g + -348. Factor -49/3*a**3 + 4/3*a - 49/3*a**m + 4/3.
-(a + 1)*(7*a - 2)*(7*a + 2)/3
Let q(p) be the second derivative of -4/7*p**2 + 19/70*p**5 - 25/42*p**4 + 0 + 119*p + 16/21*p**3 + 1/147*p**7 - 1/15*p**6. Determine o so that q(o) = 0.
1, 2
Let h(d) = -d + 18. Let c be h(10). Suppose c*n + 13 = 13. Suppose 3/4*a**2 - 1/4*a**3 + n + 0*a = 0. What is a?
0, 3
Let n(l) = 34*l - 32. Let p be n(1). Let m = 149 + -149. Find u such that m - 9/4*u**p - 3/4*u - 9/4*u**3 - 3/4*u**4 = 0.
-1, 0
Let s be (-45)/(-15) - 646/(-1). Factor -5*u**3 + 643 + 5*u**2 - 1292 + s.
-5*u**2*(u - 1)
Let p(f) be the first derivative of -f**4/18 - 74*f**3/27 + 77*f**2/9 - 26*f/3 + 3514. Factor p(t).
-2*(t - 1)**2*(t + 39)/9
Let n(o) be the second derivative of -o**7/7 - 7*o**6/15 + 11*o**5/2 - 65*o**4/6 + 8*o**3/3 + 12*o**2 + 362*o + 2. Suppose n(m) = 0. Calculate m.
-6, -1/3, 1, 2
Let 1/2*z**4 + 0 - 49*z + 24*z**3 - 51/2*z**2 = 0. Calculate z.
-49, -1, 0, 2
Let c be ((-7)/(-21))/((-7)/13989). Let i = -665 - c. Solve 0 - i*j - 50/7*j**3 + 40/7*j**2 = 0.
0, 2/5
Suppose 0 = 39*l + 30*l + 23*l. Let y(s) be the second derivative of 1/90*s**6 + 0 - 2/45*s**5 + l*s**2 + 1/36*s**4 + 1/27*s**3 - 10*s. Factor y(r).
r*(r - 2)*(r - 1)*(3*r + 1)/9
Let o be ((-5)/2 - -2)/((-15)/300). Factor 49*l**2 + l**3 - o*l**2 - 27*l**2 - 4*l**3.
-3*l**2*(l - 4)
Let -708*i**2 + 2430 + 2126*i**2 - 704*i**2 + 273*i - 711*i**2 = 0. What is i?
-81, -10
Let u = -18981/4 - -4747. Let f(y) be the second derivative of -7*y + 1/8*y**4 + u*y**3 + 0*y**2 + 0. Factor f(s).
3*s*(s + 7)/2
Suppose -213/2*d**2 - 3/2*d**5 + 69/2*d**4 - 39*d + 81/2*d**3 + 72 = 0. Calculate d.
-2, -1, 1, 24
Let s(j) be the third derivative of -j**6/360 - 229*j**5/180 - 337*j**4/36 + 452*j**3/9 + 11400*j**2. Determine k so that s(k) = 0.
-226, -4, 1
Let a(y) be the third derivative of -y**9/3780 + y**8/280 + y**7/90 + 323*y**4/24 + 35*y**2 + y. Let j(c) be the second derivative of a(c). Factor j(b).
-4*b**2*(b - 7)*(b + 1)
Factor -50/9*c - 2/9*c**2 + 68.
-2*(c - 9)*(c + 34)/9
Let r = -4349 - -4355. Let d(u) be the first derivative of -7/8*u**4 + 2*u + 6 - 1/2*u**5 + 2*u**2 + 1/6*u**3 - 1/12*u**r. Solve d(l) = 0.
-2, -1, 1
Let h be (-4)/(-22) + (-310)/(-110). Factor -60*c**h - 80*c**4 + 331*c**5 - 20*c**2 - 2*c - 363*c**5 - 6*c**3.
-2*c*(c + 1)**2*(4*c + 1)**2
Let v = 18055/13476 + -29/4492. Factor 4/9*u**2 - v*u - 40/9.
4*(u - 5)*(u + 2)/9
Let f(w) = 8*w**2 - 10*w - 25. Let j be f(10). Suppose -255*i - 572*i - j + 62*i + 2*i**3 - 5*i**3 - 93*i**2 = 0. Calculate i.
-15, -1
Let n(a) be the third derivative of 0 - 46*a**2 + 7/900*a**6 - 1/1575*a**7 - 2/75*a**5 + 16/45*a**3 + 0*a - 1/45*a**4. Let n(j) = 0. What is j?
-1, 2, 4
Let s(f) be the first derivative of -f**3/5 - 129*f**2/5 + 801*f/5 - 389. Factor s(o).
-3*(o - 3)*(o + 89)/5
Let q be 4830/13320 - (-4)/74. Let h(d) be the second derivative of 0*d**2 + 1/6*d**6 + 0 - q*d**4 + 5/3*d**3 - 1/2*d**5 + 19*d. Suppose h(u) = 0. Calculate u.
-1, 0, 1, 2
Let n(d) be the first derivative of -3*d**4/32 - 59*d**3/6 - 155*d**2/16 + 39*d/4 + 1040. Factor n(o).
-(o + 1)*(o + 78)*(3*o - 1)/8
Let t(c) be the first derivative of 99 + 1/4*c**4 + c - 1/12*c**3 - 2*c**2. Let t(s) = 0. Calculate s.
-2, 1/4, 2
Let n(r) be the first derivative of 44/5*r + 13/5*r**2 + 2/15*r**3 + 234. Solve n(z) = 0 for z.
-11, -2
Let s be (-896)/512 + 34/8. Let m(a) be the first derivative of -10/3*a**3 + 7 - 5/4*a**4 + 0*a + 4*a**5 + 0*a**2 + s*a**6. Factor m(d).
5*d**2*(d + 1)**2*(3*d - 2)
Let t(r) be the second derivative of r - 2*r**4 + 8/3*r**3 - 57 - 1/5*r**5 + 16*r**2 + 2/15*r**6. What is b in t(b) = 0?
-2, -1, 2
Let i be 35/(-3)*15/225*-18. Let r(a) = -a**2 + 15*a - 12. Let c be r(i). Solve 8/3 - 20/3*k - 4*k**c = 0.
-2, 1/3
Let k(c) be the second derivative of 4*c**6/15 + 37*c**5 + 2325*c**4/2 + 32625*c**3/2 + 118125*c**2 - 176*c + 10. Solve k(l) = 0.
-70, -15/2
Let i(z) = 9*z**2 - 40*z - 16. Let v(u) = -2*u**2 + u + 4. Let c(w) = -5*i(w) - 20*v(w). Factor c(r).
-5*r*(r - 36)
What is u in -4008*u**2 - 300*u**4 - 11316 + 5752*u**3 + 3122 + 4*u**5 - 8234 - 26492*u + 4*u**5 - 4*u**5 = 0?
-1, 3, 37
Suppose 0 = 5*p + g - 6 - 7, 2*g - 8 = -4*p. Let t be (1695/20)/p + (-1)/4. Let -q**4 + 5*q**4 - 3*q**2 + 11*q**2 + t*q**3 + 8*q**4 = 0. Calculate q.
-2, -1/3, 0
Determine u so that 424*u - 3*u**4 - 135*u**3 - 225*u + 18642*u**2 + 416*u - 19119*u**2 = 0.
-41, -5, 0, 1
Let t be (-685)/(-1370)*10*6/15. What is o in -64/9*o + 2/9*o**t - 22/3 = 0?
-1, 33
Let b be -3*(-6 - -7)/((-2)/34). Solve b*m**3 + 188 - 16*m**4 - 16*m**2 + 17*m**3 - 188 = 0.
0, 1/4, 4
Suppose 8*m + 3*r = 4*m + 43, -46 = -3*m - 5*r. Find l such that 3*l**2 + 13*l**2 + 8*l**4 + 2*l**3 + m*l**3 + 19*l**3 - 4*l**5 = 0.
-1, 0, 4
Let n be ((-3)/(-8))/(2 + 1)*(-2366)/(-1183). Solve n*y**2 - 2 + 1/2*y = 0 for y.
-4, 2
Suppose 0 = -2*o - 8, 0*c + 2*c - 3*o - 18 = 0. Find w such that 0*w**5 - 64*w - 1101*w**c + w**5 + 0*w**5 - 32*w**2 + 3*w**5 + 32*w**4 + 1161*w**3 = 0.
-4, -1, 0, 1
Suppose 4*h + 3*c = 139, 4*h = -2*c + 6*c + 104. Suppose 33*y = h*y. Factor 0*j**2 + 0*j + y + 4*j**3 - 4/3*j**4.
-4*j**3*(j - 3)/3
Let k = 7030 + -7028. Let s(j) be the first derivative of -1/2*j**4 + 2/3*j**3 - 2/5*j**5 - 26 + j**k + 0*j. Factor s(d).
-2*d*(d - 1)*(d + 1)**2
Let b be -7 - (12/14 + 66/21 + -14). Solve -7/8*o**5 + 19*o - 37/8*o**4 + 4 + 35/2*o**2 - 5/4*o**b = 0.
-4, -2, -1, -2/7, 2
Let z(p) be the third derivative of 1/72*p**4 + 0*p**3 - 45*p + 0 - 3*p**2 - 1/180*p**5. Find b such that z(b) = 0.
0, 1
Find w such that 5/7*w**2 + 904 + 15822/7*w = 0.
-3164, -2/5
Let c = -175418 + 175420. Find k, given that -1/4*k**4 + 9/2*k**3 - 24*k**c + 0 + 32*k = 0.
0, 2, 8
Let f be (1/4)/(6 + -5)*52. Let a(s) = 23*s**2 - 30*s + 7. Let o(g) = 11*g**2 - 15*g + 4. Let v(b) = f*o(b) - 6*a(b). Let v(p) = 0. Calculate p.
1, 2
Let g(x) be the third derivative of 17*x**4/12 - 4*x**3 - 14*x**2 - 1. Let p be g(1). Factor 10*a + p*a**3 + 15*a**2 + 5/2 + 5/2*a**4.
5*(a + 1)**4/2
Let p(i) = -i**3 - 5*i**2 + 3*i - 12. Let x be p(-5). Let y = -16 - x. Factor -y*k**2 + 0 + 8*k**2 - 3*k**3 + 0.
-3*k**2*(k + 1)
Let b(i) be the second derivative of -7*i**4/36 + 919*i**3/18 - 131*i**2/3 - 3*i - 169. Let b(r) = 0. What is r?
2/7, 131
Let l = 6/1231 + 3663/6155. Determine s, given that l*s**3 - 3*s + 9/5*s**2 + 6/5 - 3/5*s**4 = 0.
-2, 1
Determine a, given that -1/4*a**3 + 67/2*a + 36 - 11/4*a**2 = 0.
-18, -1, 8
Let l(a) be the second derivative of -a**6/15 - 6*a**5/5 - 9*a**4/2 - 58*a. What is d in l(d) = 0?
-9, -3, 0
Factor 0 - 1/2*i**2 - 335/2*i.
-i*(i + 335)/2
Let y(z) = -3*z**2 + 39*z - 114. Let g be y(9). Let x be 416/2880 - g/20. Solve 4/3*m**2 - x*m**3 - 4/3*m + 4/9 = 0 for m.
1
Let n(s) = -2*s**4 - 16*s**3 + 45*s**2 - 32*s. Let i(z) = 3*z**4 + 15*z**3 - 45*z**2 + 33*z. Let f = -64 + 69. Let x(o) = f*i(o) + 6*n(o). Factor x(b).
3*b*(b - 3)**2*(b - 1)
Let t = 37777 - 37775. Let k(j) be the first derivative of 0*j - 1/33*j**6 - 3/11*j**t + 20/33*j**3 - 6/11*j**4 + 17 + 12/55*j**5. Factor k(a).
-2*a*(a - 3)*(a - 1)**3/11
Let 157*l**2 + 354*l + 6259*l**3 - 2124*l - 2802*l**2 - 6244*l**3 = 0. What is l?
-2/3, 0, 177
Let d(p) = -p - 1. Let o(s) = 3*s**2 + 11*s - 5. Let q(x) = 3*d(x) + o(x). Let j(a) = a**2 - 2. Let v(y) = -4*j(y) + q(y). What is k in v(k) = 0?
0, 8
Suppose 14*s - 1 = 69. Suppose 6*b**2 + 15*b + 4*b**4 - 26*b**2 - 6*b**5 - 10*b**3 + 13*b**4 + 3*b**4 + b**s = 0. Calculate b.
-1, 0, 1, 3
Let r(l) be the third derivative of l**5/150 - 67*l**4/60 + 1652*l**2. Determine y, given that r(y) = 0.
0, 67
Let x = 293 - 293. Let h be ((-15)/(-4) - 4)*x.