/3*z**4 - 120*z**2. Find q, given that a(q) = 0.
-2/5, 30
Let g(v) be the first derivative of 1 + 0*v - 2/33*v**3 + 7/11*v**2. Factor g(c).
-2*c*(c - 7)/11
Let u(p) be the second derivative of 0*p**2 + 11/70*p**5 + 2 + 0*p**3 - 5/42*p**4 - 2/105*p**6 - 9*p. Factor u(a).
-2*a**2*(a - 5)*(2*a - 1)/7
Let f(x) = -x**3 + 12*x**2 - 11*x + 5. Let t be (22/(-5))/((-4)/10). Let z be f(t). Determine k so that 0 + 2/3*k**3 - 1/3*k**z + 0*k**4 - 1/3*k + 0*k**2 = 0.
-1, 0, 1
Let f(x) = -1200*x + 21600. Let v be f(18). Determine o so that 6*o**4 - 8/3*o**5 - 4/3*o**3 + 0 + v*o**2 + 0*o = 0.
0, 1/4, 2
Let n(l) = 893*l - 21430. Let a be n(24). Factor 8/7*h - 10/7*h**a + 18/7.
-2*(h + 1)*(5*h - 9)/7
Let x = -7 - -18. Let k = x + -6. Factor -13*u - 15*u**3 - 3*u**2 - 22*u**2 + k*u**5 + 3*u + 5*u**4.
5*u*(u - 2)*(u + 1)**3
Solve 896*w**3 - 898*w**3 - w**2 + 32*w + w**2 = 0.
-4, 0, 4
Factor -1878*d + 930*d - 72 + 192 + 939*d - 3*d**2.
-3*(d - 5)*(d + 8)
Suppose 3*z = -5*c + 55, 11*z = 23*z - 7*z - 75. Factor 0 + 18/5*h - 2/5*h**c.
-2*h*(h - 9)/5
Let c be (200/45 - 5)*(195/50)/(-13). Factor -37/3*n + c*n**2 + 1369/6.
(n - 37)**2/6
Let z(h) be the third derivative of 1/2352*h**8 + 0 - 1/21*h**4 + 1/120*h**6 + 0*h - 2/21*h**3 + 1/294*h**7 - 1/420*h**5 + 111*h**2. Solve z(j) = 0 for j.
-2, -1, 1
Suppose -16 = 2*g - 4*t, -5*g - 88*t = -93*t + 15. Let -9/2*x + 6 - 3/2*x**g = 0. Calculate x.
-4, 1
Let p be 5 - (-3 + -15 + -4). Suppose -5*z - 4*k + p = 0, 0*z - 3*z + 6 = -k. Factor -3/4*a**z - 27/4*a + 9/2*a**2 + 0.
-3*a*(a - 3)**2/4
Suppose 4*u + 4*m = 36, -194*u - 4*m = -204*u + 20. Let d(h) be the first derivative of u*h**3 - 4/5*h**5 - 8*h + 2*h**2 - 23 - h**4. Factor d(t).
-4*(t - 1)**2*(t + 1)*(t + 2)
Let h(p) = -p**2 + 15*p - 35. Let z be h(10). Factor z*u + 15*u - 3*u**2 + u**2 - 34*u.
-2*u*(u + 2)
Let w(v) be the third derivative of -v**5/270 - 79*v**4/108 + 332*v**3/27 + 4*v**2 + 3*v - 3. Let w(m) = 0. What is m?
-83, 4
Let z = -30383359/1065 + 85588/3. Let x = 3/71 + z. Factor x*q + 6/5*q**2 + 2/5*q**4 + 0 + 6/5*q**3.
2*q*(q + 1)**3/5
Let h(l) = 55*l**2 - 320*l + 1140. Let q(f) = 5*f**2 - f - 2. Let j(v) = -h(v) + 10*q(v). Determine b, given that j(b) = 0.
4, 58
Suppose 6*i + 5*h = 5*i - 5, 0 = 5*i - 5*h - 5. Let b(n) = -2*n + 2. Let u be b(i). Let 3/5*c + 0 - 3/5*c**u = 0. What is c?
0, 1
Let k(h) = -2*h**2 + 29*h - 57. Let x be k(12). Solve -450*m + 447*m - 4*m**2 + 0*m**2 - m**x = 0 for m.
-3, -1, 0
Let l(s) be the first derivative of s**4/20 - 422*s**3/15 - s**2/10 + 422*s/5 - 697. Let l(x) = 0. Calculate x.
-1, 1, 422
Let d(k) = -3*k + 17. Let y be d(5). Let u be (20/(-7))/(2/(-7)). Factor 9*g**2 + 47*g**y - 40*g - 23*g**2 + g**4 + 16 - u*g**3.
(g - 4)**2*(g - 1)**2
Let k(t) be the first derivative of 8/7*t - 27/7*t**3 + 77 + 9/7*t**2. Determine o, given that k(o) = 0.
-2/9, 4/9
Suppose 5*o + 3 = -4*p + 10*o, o = 4*p - 9. Let q be (-54)/63*(-21)/27. Factor 0 + 2*x - 2*x**p - 2/3*x**4 + q*x**2.
-2*x*(x - 1)*(x + 1)*(x + 3)/3
Let m(b) be the third derivative of 1/2*b**4 + 0*b + 20*b**2 + 0 - 3*b**3 - 1/30*b**5. Factor m(q).
-2*(q - 3)**2
Factor 630*b**2 - 189*b**2 + 131 + 382 + 840*b - 284 + 171.
(21*b + 20)**2
Let m(y) be the second derivative of -5*y**4/12 + 685*y**3/6 + 695*y**2 + y + 386. Suppose m(o) = 0. What is o?
-2, 139
Let w be -10 + (-468)/(-45) - 237/630. Let f(d) be the second derivative of 2/21*d**3 - 10*d - 1/70*d**5 + 0*d**2 + 0 - w*d**4. Factor f(b).
-2*b*(b - 1)*(b + 2)/7
Let l(m) be the first derivative of m**5/5 - 4*m**4 + 29*m**3/3 - 7*m**2 + 641. Solve l(v) = 0 for v.
0, 1, 14
Let c be (-8)/(-63) - (-100 + 19712/198). Suppose 0*u + 2*u = 0. Suppose u + c*q + 2/7*q**3 + 6/7*q**2 = 0. Calculate q.
-2, -1, 0
Determine z, given that 68*z**5 - 158*z**5 + 9*z**4 - 4*z**3 - 27*z**4 + 76*z**5 = 0.
-1, -2/7, 0
Determine a so that -2/3*a**3 + 48*a**2 + 7776 - 1080*a = 0.
18, 36
Suppose 4*o - 2*k - 96 = -4*k, -72 = -3*o - 3*k. Suppose 0 = -4*c - 2*i - 6, -3*i = 4*c - 15 + o. What is w in 6/5*w**2 + 0*w + c + 2/5*w**3 = 0?
-3, 0
Let u(z) be the second derivative of -z**6/15 + z**5/2 - z**4/3 - 8*z**3/3 - 2*z + 1217. Factor u(q).
-2*q*(q - 4)*(q - 2)*(q + 1)
Factor -3/5*u**2 + 267/5 + 264/5*u.
-3*(u - 89)*(u + 1)/5
Let j(g) be the second derivative of g**6/90 - g**4/6 + g**3/3 - g**2 + 3*g + 3. Let n(h) be the second derivative of j(h). Factor n(v).
4*(v - 1)*(v + 1)
Let v(f) be the third derivative of -1/60*f**6 - 1/6*f**3 - 15*f**2 - 1 + 0*f + 1/24*f**5 + 7/48*f**4. Find a, given that v(a) = 0.
-1, 1/4, 2
Let w = 1018 - 503. Let k = w - 513. Solve 8/3*y**3 + 2/3*y**4 - 8/3*y + 2*y**k - 8/3 = 0 for y.
-2, -1, 1
Let u(g) be the second derivative of -1/18*g**4 - 45*g + 4/3*g**2 + 0 + 4/27*g**3 - 1/90*g**5. Factor u(r).
-2*(r - 2)*(r + 2)*(r + 3)/9
Let r be -6 + 25 + -8 + -1. Let v be 3 + (-12)/3 + 3. Factor -2*y**v - 3*y - 22 + 18 - y**2 + r.
-3*(y - 1)*(y + 2)
Let v(n) = n**2 + n + 1. Let y(o) = -2*o**3 + 30*o**2 + 17*o - 14. Let u(w) = 2*v(w) - 2*y(w). Determine z so that u(z) = 0.
-1, 1/2, 15
Let d be ((-20)/(-88))/((-6810)/(-7491)). Factor 1/4*b**2 + 0 + d*b.
b*(b + 1)/4
What is s in -83/5*s**3 - 496/5*s**2 - 147*s + 18/5 = 0?
-3, 2/83
Let o(i) = -i**2 - i + 8. Let m be o(-3). Suppose k**4 - 3*k**3 + 8*k**3 - 4*k - 23 - 5*k**m + 27 + k**5 - 2*k**5 = 0. What is k?
-2, -1, 1, 2
Let g = 107820 + -539092/5. Factor 6/5*t**2 - g - 2/5*t**3 + 0*t.
-2*(t - 2)**2*(t + 1)/5
Let s(p) be the third derivative of 2/105*p**7 - 4 + 4/3*p**4 - 2/3*p**5 - 4/15*p**6 + 0*p + 6*p**3 - 2*p**2. Factor s(j).
4*(j - 9)*(j - 1)*(j + 1)**2
Suppose 0 = 8*z - 240 + 16. Suppose -2*t = 4*s + 2*t - z, 2*t - 20 = -5*s. Let 2*d**3 + 6/5*d**2 - 8/5*d**4 + 2/5 - s*d = 0. Calculate d.
-1, 1/4, 1
Let f(i) = i**2 - 90*i + 1402. Let b be f(20). Let v(c) be the first derivative of 5/34*c**4 - 8/51*c**3 - 2/85*c**5 + 0*c + 2 + 0*c**b. Factor v(r).
-2*r**2*(r - 4)*(r - 1)/17
Let i(j) be the second derivative of 153*j + 0 - 130/3*j**3 + 1690*j**2 + 5/12*j**4. Factor i(z).
5*(z - 26)**2
Let u(x) be the first derivative of -2*x**3/15 - 1172*x**2/5 + 4696*x/5 + 5485. Factor u(c).
-2*(c - 2)*(c + 1174)/5
Let a(v) be the third derivative of -v**6/480 + 73*v**5/240 + 113*v**4/48 + 19*v**3/3 - v**2 - 10*v + 7. Solve a(z) = 0 for z.
-2, -1, 76
Solve 3/4*s**4 + 3/2*s**5 - 153/4*s**3 - 90 + 147/2*s**2 + 21*s = 0.
-6, -1, 2, 5/2
Let j(f) be the second derivative of f**6/120 + f**5/10 + 3*f**4/8 + 2*f**3/3 + 5*f**2/8 + 5846*f. Find y, given that j(y) = 0.
-5, -1
Let a be 10 + 2718/(-198) - -4. Let d(g) be the third derivative of 0 - 1/330*g**5 - 1/22*g**4 - a*g**3 + 0*g + 24*g**2. Factor d(v).
-2*(v + 3)**2/11
Let g be (68/54 + -1)/(3333/18 + -184). Factor g - 2/3*k**2 + 4/9*k.
-2*(k - 1)*(3*k + 1)/9
Suppose -m - 1368 = -19*m. Factor 440*w**4 + 32 + m*w**3 - 24*w**2 - 875*w**4 + 463*w**4 - 112*w.
4*(w - 1)*(w + 2)**2*(7*w - 2)
Solve 177*r + 95*r + 25*r**3 - 20*r**3 - 314*r**2 - 8*r + 46*r**3 - r**4 = 0 for r.
0, 1, 6, 44
Suppose 4*o - 4*t - 36 = 0, 2*o + 19 - 16 = -5*t. Suppose o*r + 5 = 29. Factor 0*c - 1/6*c**r + 0 + 1/6*c**2 + 0*c**3.
-c**2*(c - 1)*(c + 1)/6
Let h(o) = 16*o**2 + 52*o - 53. Let m(k) = -19*k**2 - 52*k + 53. Let n(l) = 6*h(l) + 5*m(l). Factor n(j).
(j - 1)*(j + 53)
Let t be (-3 + (-36)/(-27))/(2/390). Let w = t - -1649/5. Factor w*a - 3/5*a**2 - 48/5.
-3*(a - 4)**2/5
Let j(a) = -4*a + 36. Let v be j(8). What is y in -3*y - 15*y**4 + 36*y**5 + 39*y**3 - 46*y**v - 14*y**4 + 3*y**2 + 0*y = 0?
-1/4, 0, 1/3, 1
Suppose 47 - 321 - 66 = -170*i. Factor -i + 2*z - 1/2*z**2.
-(z - 2)**2/2
Let d be 105456/(-4394) + -1 + 28. Solve 0 - 4/7*k**4 + 1/7*k**5 + 0*k**2 + 3/7*k**d + 0*k = 0 for k.
0, 1, 3
Find i such that 141/2*i**2 - 396*i - 216 - 3*i**3 = 0.
-1/2, 12
Let q(z) be the first derivative of 3*z**5/5 + 21*z**4 + 27*z**3 - 78. What is k in q(k) = 0?
-27, -1, 0
Let c(v) be the second derivative of -3/7*v**2 - 31/28*v**4 - 5 - 9/35*v**5 + 11*v - 15/14*v**3. Let c(k) = 0. What is k?
-2, -1/3, -1/4
Let y = 218 + -215. Determine r so that -4 - r - 5*r**2 + 9*r + 4*r**3 + 0*r**3 - 3*r**y = 0.
1, 2
Let q(w) = 6*w + 3. Let d be q(1). Find v such that -5*v**3 - v**2 - d*v**2 - 15*v - 8*v**2 + 2*v**3 = 0.
-5, -1, 0
Let k be (-632)/(-48) + 124/(-186). Let u(c) be the first derivative of -20*c + k*