 -o**5/15 - 43*o**4/6 - 80*o**3 + 2502*o**2. Determine a so that z(a) = 0.
-40, -3
Factor -4*j**4 - 376*j**2 - 365 - 312 + 960*j + 47 + 64*j**3 - 270.
-4*(j - 5)**2*(j - 3)**2
Let x = 3252 + -3252. Let u(n) be the first derivative of x*n**2 - 4/5*n**5 - 8/3*n**6 + 10 + 0*n + 0*n**4 + 0*n**3. What is w in u(w) = 0?
-1/4, 0
Let t(s) be the first derivative of 107 + 9/10*s**5 + 0*s + 4/3*s**3 + 1/24*s**6 + 0*s**2 + 33/16*s**4. Determine q, given that t(q) = 0.
-16, -1, 0
Let y(q) be the first derivative of q**4/10 - 4*q**3/5 + 3*q**2/5 + 4*q - 229. Factor y(u).
2*(u - 5)*(u - 2)*(u + 1)/5
Let o(v) be the second derivative of -3*v**5/80 - 9*v**4/8 + 21*v**3/8 + 57*v**2/4 + 541*v - 2. Factor o(a).
-3*(a - 2)*(a + 1)*(a + 19)/4
Let w be 2/5 + (-215)/(-25) + 5. Let z = w + -12. Factor 27*c + 4*c**z - 11*c + 4 + 8.
4*(c + 1)*(c + 3)
Let x(t) be the second derivative of t**6/15 + 4*t**5/5 + t**4 - 8*t**3/3 - 7*t**2 - 2*t + 254. Let x(o) = 0. Calculate o.
-7, -1, 1
Let l(q) be the first derivative of 5*q**4/4 - 115*q**3/3 + 340*q**2 - 1200*q - 1055. Factor l(b).
5*(b - 15)*(b - 4)**2
Let h(c) be the third derivative of c**7/525 + 19*c**6/30 + 377*c**5/150 + 47*c**4/15 - 163*c**2. Determine f, given that h(f) = 0.
-188, -1, 0
Let s(i) be the first derivative of 12*i**5/5 - 47*i**4 + 152*i**3 + 24*i**2 - 608*i - 9435. Find v such that s(v) = 0.
-1, 2, 38/3
Let j(x) = x**2 - 2906*x - 32085. Let t be j(-11). Factor -2*i - 1/6*i**3 - 13/6*i**t + 0.
-i*(i + 1)*(i + 12)/6
Let x(f) be the first derivative of -f**6/2160 - f**5/180 + 5*f**4/144 - 2*f**3/3 + 26*f + 16. Let b(t) be the third derivative of x(t). Factor b(h).
-(h - 1)*(h + 5)/6
Let m be 364/(-30)*(-33180)/64701. Factor m*n - 40/9 - 2/9*n**3 - 14/9*n**2.
-2*(n - 2)*(n - 1)*(n + 10)/9
Let i be (-2)/7 - (-44)/7. Suppose 0 = -0*q - q - s + i, -4*q - 3*s = -24. Find b such that 2*b**2 - 5 + q + 3 - 6 = 0.
-1, 1
Let m = 12103 - 12100. Determine k, given that 3/2*k**4 - 1056*k + 324*k**2 + 768 - 75/2*k**m = 0.
1, 8
Let -2158*r**2 + 311 - 1095 - 4*r**4 + 3409*r + 1036*r**2 + 121*r**3 = 0. Calculate r.
1/4, 7, 16
Let w(d) = d**2 - d + 1. Let l(n) = 113*n**2 - 20*n - 13. Let z(x) = 28*x**2 - 5*x - 3. Let o(m) = -2*l(m) + 9*z(m). Let v(q) = o(q) + w(q). Factor v(s).
3*s*(9*s - 2)
Let t(o) be the second derivative of -o**6/1080 + o**5/20 - 67*o**3/2 - 208*o. Let x(v) be the second derivative of t(v). Suppose x(s) = 0. Calculate s.
0, 18
Let j(c) be the third derivative of c**5/570 - 27*c**4/76 - 166*c**3/57 - 2124*c**2. Factor j(v).
2*(v - 83)*(v + 2)/19
Suppose -19368*x - 241 = -4*s - 19367*x, 2*s + x = 125. Solve 7*v**4 - 31/2*v**3 - s*v**2 - 9 - 95/2*v = 0 for v.
-1, -2/7, 9/2
Let f(q) be the third derivative of -1/96*q**6 - 1/840*q**7 + 0*q + 0*q**3 - 1/40*q**5 + 0*q**4 + 1 - 40*q**2. Find o such that f(o) = 0.
-3, -2, 0
Suppose -5*w = -2*s + s - 45, 3*w + 29 = -s. Let y = -33 - s. Factor 2 - y - v**3 - 21*v - 2*v**3 + 24*v**2.
-3*v*(v - 7)*(v - 1)
Let v = 513743 + -513718. Factor 5/6*h**3 + 20/3*h**2 - 115/6*h - v.
5*(h - 3)*(h + 1)*(h + 10)/6
Suppose -1510*g = 1478*g + 683*g + 829*g. Determine i so that g + 28/9*i**3 + 2/9*i**5 + 16/3*i**2 + 0*i - 2*i**4 = 0.
-1, 0, 4, 6
Let p(y) be the third derivative of 3*y**2 + 0 - 3*y - 1/330*y**5 - 48/11*y**3 - 2/11*y**4. Factor p(s).
-2*(s + 12)**2/11
Let d(i) = i**3 + 5*i**2 + 2*i + 12. Let l be d(-5). Factor 18*z + 4*z**l - 2 + 17 - 6*z - 7*z**2.
-3*(z - 5)*(z + 1)
Solve -1248*m + 20545*m**2 - 20761*m**2 - 11*m**3 + 17*m**3 + 3*m**4 - 1920 = 0.
-4, 10
Let h(j) = -j + 15. Let s be h(11). Solve -11*t**4 - 19*t + 4*t**3 + 9*t**s + 2*t**2 + 16*t - t**5 = 0.
-3, -1, 0, 1
Let -171/4*k**2 - 183 + 180*k - 3/4*k**3 = 0. What is k?
-61, 2
Let j(v) = -2*v**2 + 1 + 6*v**2 - 3*v**2 + 16*v + 1. Let b be j(-16). Factor -2*o**2 - b*o - 30*o**3 + 2 - 4*o + 36*o**3.
2*(o - 1)*(o + 1)*(3*o - 1)
Let q(y) be the second derivative of y**7/126 - y**6/45 - 4*y**5/5 - 7*y**4/2 - 9*y**3/2 + 12*y + 18. Factor q(f).
f*(f - 9)*(f + 1)*(f + 3)**2/3
Suppose -199*a - 16392 + 16989 = 0. Suppose -5/2*w**2 + 37/10*w**4 - 9/2*w**a - 6/5 - 7/10*w**5 + 26/5*w = 0. What is w?
-1, 2/7, 1, 2, 3
Solve 48*f + 0 + 1/2*f**4 - 22*f**2 + 1/2*f**3 = 0.
-8, 0, 3, 4
Let u = -179835 - -179835. Find i, given that -1/4*i**4 + 0*i**2 + u + 0*i**3 + 0*i = 0.
0
Let d(i) = -9*i + 16. Let u be d(6). Let c = 75 + u. Let -6 + 2 + 6 + 7*z**4 + 31*z**2 - 57*z + c*z**3 - 20 = 0. Calculate z.
-3, -2/7, 1
Suppose 3*g + 57*o + 4 = 55*o, 0 = 2*g - 8*o - 44. Factor 3*c + 3/7*c**g - 24/7.
3*(c - 1)*(c + 8)/7
Let q be (1470/(-114) + 13)*(1 - -18). Suppose -6/11*d**4 + 0 + 6/11*d**q + 2/11*d - 4/11*d**5 + 2/11*d**3 = 0. Calculate d.
-1, -1/2, 0, 1
Determine n so that -182*n + 296*n**2 + 286*n**2 + n**4 + 20*n**3 - 1155*n**2 + 152 + 295*n**2 + 287*n**2 = 0.
-19, -4, 1, 2
Suppose 33 = 131*t - 120*t. Factor 27*o**4 - 96 - 76*o**3 + 54*o**2 + 12*o**2 + 156*o - 60*o - 23*o**t.
3*(o - 2)*(o + 1)*(3*o - 4)**2
Let l(n) be the first derivative of 0*n**2 - 7/2*n**4 - 1/3*n**6 + 2*n**3 + 51 + 2*n**5 + 0*n. Solve l(c) = 0.
0, 1, 3
Let i(u) be the first derivative of 115*u**6/27 - 532*u**5/45 - 47*u**4/18 + 548*u**3/27 - 68*u**2/9 - 16*u/9 - 1579. What is a in i(a) = 0?
-1, -2/23, 2/5, 1, 2
Let n(i) = 10*i**2 + 318*i - 352. Let w(d) = 2*d**2 - 7*d + 1. Let z(p) = n(p) - 6*w(p). Determine m, given that z(m) = 0.
1, 179
Let n(f) = -f**3 + 3*f**2 - 2*f + 2. Let l be n(2). Factor 4 - 262*z**2 + 283*z**l - 12*z + 2*z**4 - 11*z**3 - 4*z.
(z - 2)**2*(z - 1)*(2*z - 1)
Let i(k) = -45*k**4 + 434*k**3 - 6*k**2 - 9*k + 9. Let y(s) = 44*s**4 - 434*s**3 + 8*s**2 + 8*s - 8. Let w(g) = 8*i(g) + 9*y(g). Solve w(c) = 0.
0, 1/18, 12
Let k(p) = -156*p**3 - 514*p**2 + 2160*p - 1699. Let u(c) = -49*c**3 - 171*c**2 + 720*c - 566. Let r(v) = 6*k(v) - 19*u(v). Find f such that r(f) = 0.
1, 4, 28
Let g be 15*((-2)/6)/(-1). Let c = -839 + 842. Determine n, given that 6*n**c - 14*n**2 + 6*n**4 - 3*n**g - 3*n**3 + 8*n**2 = 0.
-1, 0, 1, 2
Factor 141/2*a - 147 + 75*a**2 + 3/2*a**3.
3*(a - 1)*(a + 2)*(a + 49)/2
Let c(r) be the third derivative of r**6/40 + r**5/30 + r**4/4 - 4*r**3/3 + 3*r**2 + 19*r. Let v be c(1). Factor 0*a - 2/9*a**4 + 0 - 8/9*a**v - 2/3*a**2.
-2*a**2*(a + 1)*(a + 3)/9
Let t(n) be the first derivative of -n**6/42 + 2*n**5/35 + 5*n**4/14 - 20*n**3/21 - 9*n**2/14 + 18*n/7 - 2201. Solve t(f) = 0.
-3, -1, 1, 2, 3
Let n(w) be the second derivative of -60*w - 26/27*w**3 + 169/9*w**2 + 1/54*w**4 + 0. Find q such that n(q) = 0.
13
Let p(f) be the second derivative of -91*f - 9/40*f**5 + 1/20*f**6 + 0 + 0*f**4 + f**3 + 0*f**2. Suppose p(j) = 0. What is j?
-1, 0, 2
Factor -38/9 + 16/3*t - 10/9*t**2.
-2*(t - 1)*(5*t - 19)/9
Suppose -72*q - 180 + 540 = 0. Let i(h) be the first derivative of -3/10*h**4 - 2/5*h**3 + 0*h - 2/25*h**q - 1/5*h**2 - 20. Find u such that i(u) = 0.
-1, 0
Let q(k) be the second derivative of k**5/10 - 62*k**4/9 - 251*k**3/27 - 14*k**2/3 - 24*k + 4. Factor q(t).
2*(t - 42)*(3*t + 1)**2/9
Let s(w) be the second derivative of 289*w**5/4 - 85*w**4/2 + 15*w**3/2 + 948*w. Find t such that s(t) = 0.
0, 3/17
Determine x so that -3888/7 - 216/7*x + 216/7*x**3 + 3/7*x**4 + 555*x**2 = 0.
-36, -1, 1
Let t(h) be the second derivative of -56/15*h**6 + 2/21*h**7 + 0*h**2 + 0*h**4 + 1 + 0*h**5 - 11*h + 0*h**3. Solve t(k) = 0 for k.
0, 28
Let s(l) = -l**4 + 129*l**3 - 1917*l**2 - 11417*l - 14424. Let j(z) = 2*z**3 - 1. Let q(o) = -18*j(o) + s(o). Suppose q(i) = 0. Calculate i.
-3, -2, 49
Let m(v) be the second derivative of v + 13/21*v**3 - 6/7*v**2 - 17 + 1/70*v**5 - 4/21*v**4. Factor m(a).
2*(a - 6)*(a - 1)**2/7
Let q(x) be the first derivative of x**3/6 - 555*x**2/8 + 277*x/4 - 6203. Factor q(p).
(p - 277)*(2*p - 1)/4
Let y(i) = -i**2 - 4*i + 1. Let v(w) = 28*w**2 - 18348*w - 42633408. Let f(s) = -2*v(s) - 60*y(s). Factor f(b).
4*(b + 4617)**2
What is b in 2/11*b**3 + 324/11*b - 54/11*b**2 + 0 = 0?
0, 9, 18
Let i(n) be the first derivative of -2*n**6/15 + n**5/5 + n**4 - 2*n**3/3 - 4*n**2 + 33*n + 41. Let a(u) be the first derivative of i(u). Factor a(v).
-4*(v - 2)*(v - 1)*(v + 1)**2
Solve 224/5*l + 72/5*l**2 - 768/5 + 4/5*l**3 = 0 for l.
-12, -8, 2
Determine u so that 66/17*u**4 - 202/17*u**3 - 28/17*u + 0 + 150/17*u**2 + 14/17*u**5 = 0.
-7, 0, 2/7, 1
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