 4*m**3 + 8*m**2.
-2*(m - 3)*(m - 1)*(m + 1)**2
Find d, given that 1/5*d**2 + 33/5*d + 62/5 = 0.
-31, -2
Factor -195*n - 2 - 18*n - 5 + 221*n**2 + 4 - 5*n**2.
3*(n - 1)*(72*n + 1)
Let i(q) be the second derivative of -q**5/4 + 45*q**4/2 - 255*q**3/2 - 945*q. Factor i(a).
-5*a*(a - 51)*(a - 3)
Suppose -3/8*n**3 + 0 + 1/2*n**4 - 1/2*n**2 - 1/8*n**5 + 1/2*n = 0. What is n?
-1, 0, 1, 2
Let f(i) be the second derivative of i**3 + 0*i**2 + 0 + 5/4*i**4 - 36*i - 21/20*i**5. Factor f(o).
-3*o*(o - 1)*(7*o + 2)
Let r(q) be the second derivative of -29*q + 16/15*q**6 + 0*q**2 + 0*q**3 + 7/5*q**5 + 2/3*q**4 + 2/7*q**7 + 1. Factor r(x).
4*x**2*(x + 1)**2*(3*x + 2)
Let g be 67/402 + (-130)/(-12). Let k(s) = -16*s**2 - 16*s + 52. Let q(l) = 3*l**2 + 3*l - 10. Let r(p) = g*q(p) + 2*k(p). Factor r(u).
(u - 2)*(u + 3)
Suppose 250*v - 240*v + 20 = 0. Let u be v/6*0/(-24). Determine a so that 3/4*a**2 - 3/2*a + u = 0.
0, 2
Let h(d) = -16*d - 51. Let r be h(-3). Let i be (87/58)/(r/(-4)). Determine m so that -3/4*m - 3/4*m**i + 0 = 0.
-1, 0
Determine t, given that -715*t + 4*t**2 - 1032 - 58*t**2 + 25*t**2 + 25*t**2 + 191*t = 0.
-129, -2
Suppose -4*n + 86 = -2*n - 5*p, 3*n = -4*p + 129. Let r = n - 40. Factor -80*f - 40 + 24*f**2 + 12*f**3 + 72 + 24*f**r.
4*(f + 2)*(3*f - 2)**2
Let w(t) be the third derivative of t**7/560 - t**6/15 + 16*t**5/15 + 13*t**4/6 - 46*t**2. Let m(i) be the second derivative of w(i). Let m(k) = 0. What is k?
16/3
Let s(r) be the second derivative of r**4/3 - r**3/6 + r**2/2 - 22*r. Let o be s(1). Factor 0 + 8/9*p**2 - 2/9*p**o + 0*p - 2/3*p**3.
-2*p**2*(p - 1)*(p + 4)/9
Factor 2*j**4 + 554*j**3 + 288*j - 523193*j**2 - 25*j**4 + 519833*j**2.
-j*(j - 12)**2*(23*j - 2)
Let y(d) be the second derivative of -d**5/4 + 25*d**4/6 - 85*d**3/6 + 20*d**2 + 3991*d. Factor y(m).
-5*(m - 8)*(m - 1)**2
Suppose -12/5 - 2967/5*a**2 + 369/5*a + 387*a**3 + 135*a**4 = 0. Calculate a.
-4, 1/15, 1
Let s(l) be the third derivative of l**7/126 + 23*l**6/72 + 19*l**5/9 + 57*l**2 - 7*l. Factor s(b).
5*b**2*(b + 4)*(b + 19)/3
Determine l, given that 2 - 4484045*l**5 + 4474570*l**3 + 4526*l - 3538315*l**2 + 4949*l - 7 - 955195*l**2 + 4493515*l**4 = 0.
-1, 1/947, 1
Suppose -270*b + 183 = -48*b - 261. Let f(k) be the first derivative of -1/15*k**5 + 1/3*k**4 - 2*k**b - 3*k + 23 + 2/9*k**3. Determine y so that f(y) = 0.
-1, 3
Let f = -441 - -452. Suppose -u + 2 = -4*i, -f*i + 6 = 3*u - 15*i. Factor -1/4*a**u - 1 - 5/4*a.
-(a + 1)*(a + 4)/4
Let p(f) be the second derivative of -f**6/70 + 9*f**5/140 - f**4/28 - 3*f**3/14 + 3*f**2/7 - 1607*f - 1. Let p(i) = 0. What is i?
-1, 1, 2
Let j be (1431 - 1426)*(2/(-3))/((-10)/6). Let 7/8*x**4 + 0 + 0*x - 3/8*x**5 + 0*x**3 - 1/2*x**j = 0. Calculate x.
-2/3, 0, 1, 2
Find v, given that -1/5*v**2 - 3/5 + 4/5*v = 0.
1, 3
Let m(f) be the first derivative of -2700*f + 237 + 3/4*f**4 - 61*f**3 + 1440*f**2. Suppose m(z) = 0. Calculate z.
1, 30
Let a = -3517 + 52757/15. Factor -2/15*z**5 + 2/15 + 4/15*z**3 - 4/15*z**2 - a*z + 2/15*z**4.
-2*(z - 1)**3*(z + 1)**2/15
Let u be (46/12 - 4)*8 + (-26)/(-6). Let b(f) be the first derivative of 0*f**2 + 23 + 0*f + 1/12*f**u. Factor b(k).
k**2/4
Let b(a) = -3*a + 4. Let p be b(-5). Suppose p - 7 = 4*x. Determine w, given that 10*w**2 + 67*w - 4*w**x - 67*w - 2*w**2 + 12*w**5 - 16*w**4 = 0.
-2/3, 0, 1
Let s = -812 - -820. Factor -4*u - 13*u**2 + s*u**2 - 45 + 0*u**2 + 6*u**2 - 8*u.
(u - 15)*(u + 3)
Let w(n) be the first derivative of -12*n**5/5 + 37*n**4 - 156*n**3 + 70*n**2 - 1313. Suppose w(m) = 0. What is m?
0, 1/3, 5, 7
Let m = 2590 - 2577. Let z(a) be the third derivative of -1/12*a**4 + m*a**2 + 0 + 0*a - 1/20*a**5 + 0*a**3 + 1/24*a**6. Find o, given that z(o) = 0.
-2/5, 0, 1
Let d(v) = 1927*v - 154158. Let t be d(80). Factor 2*u + 5/2 - 1/2*u**t.
-(u - 5)*(u + 1)/2
Let b(r) be the first derivative of -r**4/24 - 11*r**3/6 - 21*r**2/4 + 2*r + 81. Let d(o) be the first derivative of b(o). Factor d(x).
-(x + 1)*(x + 21)/2
Let g(p) be the first derivative of 0*p**2 - 3/10*p**5 - 2*p**3 - 19 + 3/2*p**4 + 0*p. What is j in g(j) = 0?
0, 2
Let o = 855/29 + -2507/87. Determine h, given that -o + 14/9*h**2 + 10/9*h**3 - 2/9*h = 0.
-1, 3/5
Let d = 4 - 2. Let p be (-10 + 4)*d/(-6). Factor -6*j**2 + 3*j + 4 + 17*j**4 + p*j**3 - 4*j**3 - 15*j**4 - j.
2*(j - 2)*(j - 1)*(j + 1)**2
Let m(b) be the second derivative of -b**4/66 - 23*b**3/11 - 260*b**2/11 + 137*b - 5. Factor m(o).
-2*(o + 4)*(o + 65)/11
Factor -4*b**2 - 68300 - 569*b + 70900 - 723*b.
-4*(b - 2)*(b + 325)
Determine x so that 5*x**5 + 2537*x**2 - 95*x**3 - 1204*x**2 - 360 - 5*x**4 - 1208*x**2 + 330*x = 0.
-4, -2, 1, 3
Let q be (1 - 1) + (-4)/(-2). Suppose -11 + 95 = 12*r. Determine x so that -10*x - x**2 - 2*x**q + r*x**2 - 2*x**2 + 12 = 0.
2, 3
Let p = 4754 + -14230/3. Let x(m) be the first derivative of 2/9*m**3 - 12 + p*m + 8/3*m**2. Suppose x(f) = 0. What is f?
-4
Find f, given that 1/2*f**4 - 561/2*f**3 + 119286*f + 0 + 38916*f**2 = 0.
-3, 0, 282
Suppose -13 = -4*k + 3*b, -1 = -2*k - b - 2. Suppose 3*x - k = -4*r + 22, 3*r = 6. Factor -x + o**3 + 21*o - 19 + 7*o - 5*o**3.
-4*(o - 2)*(o - 1)*(o + 3)
Let u(l) be the first derivative of 0*l**2 + 0*l**3 + 1/66*l**4 + 6*l + 2/55*l**5 + 1/55*l**6 - 6. Let p(z) be the first derivative of u(z). Factor p(o).
2*o**2*(o + 1)*(3*o + 1)/11
Let s(t) be the second derivative of -3*t**5/40 + 343*t**4/8 - 1351*t**3/4 - 5085*t**2/4 + t - 4696. Suppose s(g) = 0. What is g?
-1, 5, 339
Let h(w) be the first derivative of 1/90*w**5 + 0*w - 6*w**2 + 4/9*w**3 + 5/36*w**4 - 3. Let x(g) be the second derivative of h(g). What is o in x(o) = 0?
-4, -1
Suppose -810 - 290 = -11*h. Factor -9*y**4 - h*y - 20 - 47*y**3 - 65*y**2 + 40*y + 4*y**4 + 17*y**3.
-5*(y + 1)**2*(y + 2)**2
Suppose 0 = -42*t + 154 + 224. Suppose -3*c + 0*c - 9 = -3*a, -t = -4*c - 3*a. Factor 3/5*b**4 + c - 6/5*b**2 + 0*b - 3/5*b**3.
3*b**2*(b - 2)*(b + 1)/5
Let s(l) = -l**4 - 125*l**3 - 1131*l**2 + 27651. Let j(a) = 8*a**4 + 876*a**3 + 7924*a**2 - 193556. Let w(i) = -3*j(i) - 20*s(i). Factor w(f).
-4*(f - 4)*(f + 12)**3
Let d(g) be the first derivative of g**3/18 + 16*g**2 - 193*g/6 - 1283. Factor d(f).
(f - 1)*(f + 193)/6
Let v = 479 + -15. Suppose 3*m + m = c + 449, -4*c = -4*m + v. Suppose 9*r**2 - 2 + m*r**3 - 9*r + 5 - 114*r**3 = 0. What is r?
1
Let k(o) be the first derivative of o**5/160 + 11*o**4/64 + 5*o**3/8 - o**2 - 18*o - 58. Let y(a) be the second derivative of k(a). Factor y(l).
3*(l + 1)*(l + 10)/8
Suppose 2*o = -3*p + 9, -o + 7 = 3*p + 1. Let w(x) = -x**2 + 7*x - 7. Let t be w(5). Find l such that -5*l**3 + 12*l**3 + 3*l**o - 8*l + 5*l**2 + t*l = 0.
-1, 0, 1/2
Suppose 41*g**4 + 181416*g + 2*g**5 + 2*g**5 - 26820*g**2 - 30216*g + 2646000 - 1556*g**3 + 27*g**4 = 0. What is g?
-15, 14
Let u(n) be the third derivative of n**6/180 + n**5/6 + 25*n**4/12 - 97*n**3/6 + 24*n**2. Let p(g) be the first derivative of u(g). Let p(w) = 0. What is w?
-5
Let v = -13208 + 13214. Let o(f) be the third derivative of 0*f - 5/3*f**3 - 1/60*f**v + 0 - 13*f**2 - 11/12*f**4 - 7/30*f**5. Factor o(p).
-2*(p + 1)**2*(p + 5)
Solve 107648/9 + 2/9*x**2 + 928/9*x = 0 for x.
-232
Let x = 11214/5 + 653/15. Find f, given that -x - 19*f**2 + 1/3*f**3 + 361*f = 0.
19
Suppose 103968/5 - 51072/5*q - 1/5*q**3 - 454/5*q**2 = 0. Calculate q.
-228, 2
Determine b so that 0 + 20/9*b**3 + 0*b**2 + 2/9*b**4 + 0*b = 0.
-10, 0
Let k = 166 + -75. Let f = k - 89. Let t(d) = 6*d**2 + 72*d + 324. Let i(j) = -j**2. Let p(o) = f*i(o) + t(o). Solve p(b) = 0 for b.
-9
Suppose 3*w = -g + 14 - 4, 0 = -2*w + g. Factor 353 - 58 - 72*l + 198 - 61 + 3*l**w.
3*(l - 12)**2
Suppose -225*m**3 + 92 - 9723*m**5 + 55*m**4 + 190*m - 175*m**2 + 28 + 9758*m**5 = 0. What is m?
-3, -1, -4/7, 1, 2
Let s(b) = 4*b**4 - 68*b**3 + 379*b**2 - 832*b + 512. Let c(g) = 4*g**4 - 68*g**3 + 378*g**2 - 832*g + 512. Let j(i) = 5*c(i) - 6*s(i). Factor j(w).
-4*(w - 8)*(w - 4)**2*(w - 1)
Let j(b) = 8*b**2 + 27*b + 9. Let f(k) be the first derivative of 44*k**3/3 + 74*k**2 + 48*k + 12. Let h(v) = 5*f(v) - 28*j(v). Determine c so that h(c) = 0.
-3, -1
Suppose 7*g**5 - 27/2*g**4 + 3*g + 0 - 36*g**3 + 79/2*g**2 = 0. What is g?
-2, -1/14, 0, 1, 3
Let q(k) be the second derivative of k**7/56 + 3*k**6/40 - 27*k**5/80 + 5*k**4/