 - 1)**2*(k + 1)**2/3
Suppose 4*r - 7*r + 2*t + 60 = 0, 0 = -4*t. Factor 38*p**3 + 8 + 16*p**4 - 16*p**3 + r*p - 18*p**3 - 48*p**2.
4*(p - 1)**2*(p + 2)*(4*p + 1)
Let q be (-8*12/(-336))/((-1)/(-7)). Factor 3*w**2 + 612*w + 0*w**q - 9 - 606*w.
3*(w - 1)*(w + 3)
Let y(u) = 2*u**4 + 14*u**3 - u**2 - 10. Let i(c) = -8 + 13*c**3 - 2*c**2 + c**4 + 8*c - 25*c + 17*c. Let h(l) = -5*i(l) + 4*y(l). Suppose h(m) = 0. What is m?
0, 1, 2
Suppose -z = 5*n - 12, -21*n + z = -22*n. Let j(g) be the second derivative of 3/4*g**5 - 1/6*g**6 + 5/12*g**4 - 18*g - 5/2*g**n + 0*g**2 + 0. Factor j(c).
-5*c*(c - 3)*(c - 1)*(c + 1)
Let n(o) = -15*o**2 + 30*o. Suppose -2*t + 5*t - q = -19, -5*q + 20 = 0. Let v(s) = -7*s**2 + 15*s. Let x(i) = t*v(i) + 2*n(i). Factor x(r).
5*r*(r - 3)
Suppose -667*h - 579*h + 3738 = 0. Find d, given that 2*d + 3/4*d**4 + 1/2*d**3 - 1/4*d**5 + 0 - h*d**2 = 0.
-2, 0, 1, 2
Let m be 107/(4708/(-40))*(-1078)/6. Solve -m*c**2 - 8 + 104/3*c**5 - 224/3*c - 100*c**3 + 94/3*c**4 = 0 for c.
-1, -3/4, -2/13, 2
Let a = 335 - 331. Determine s, given that 2*s - 4*s**5 + s**5 + s**5 - 27*s**4 + 32*s**a - 5*s**2 = 0.
-1, 0, 1/2, 1, 2
Determine b, given that -3952191744 - 9026624*b - 1224960*b - 11952*b**2 - 1652608*b - 4*b**3 = 0.
-996
Find x such that -75*x**3 + 6*x**3 + x**4 - 16*x**3 + 7*x**3 - 79*x**2 = 0.
-1, 0, 79
Let f = -87569/70 + 1251. Let d(j) be the second derivative of -1/7*j**3 + 0*j**2 + 0 + f*j**6 + 0*j**5 - 3/28*j**4 - 2*j. Factor d(b).
3*b*(b - 2)*(b + 1)**2/7
Let g(k) be the third derivative of k**6/210 + 43*k**5/15 + 50*k**4/7 + 3262*k**2. Factor g(h).
4*h*(h + 1)*(h + 300)/7
Let k(p) be the third derivative of -p**8/13440 - p**7/1120 - p**6/240 - p**5/2 + p**2 + 9*p. Let x(m) be the third derivative of k(m). Factor x(y).
-3*(y + 1)*(y + 2)/2
Solve -11024/5*f - 2/5*f**2 - 15191072/5 = 0.
-2756
Let z be 14/(-4) + (-36223)/(-6586). Factor -800/11*y - 2/11*y**3 + 0 - 80/11*y**z.
-2*y*(y + 20)**2/11
Let i(f) = -5*f**2 + 30*f + 8. Let t(l) = 11*l**2 - 65*l - 18. Let z(n) = -13*i(n) - 6*t(n). Factor z(x).
-(x - 2)*(x + 2)
Let l = 753 + -753. Let h be l*(-1 - (-15)/12). Solve 1/4*r + 1/4*r**2 + h = 0.
-1, 0
Let s(q) be the third derivative of -11*q**5/30 + 29*q**4/6 - 24*q**3 - 68*q**2 + 1. Factor s(g).
-2*(g - 2)*(11*g - 36)
Let p be (1 - 4)*(-16 + 15). Let z be (-124)/(-20) - 4 - p/(-10). Determine t, given that -15*t - 4 - z*t**3 - 27/2*t**2 = 0.
-4, -1, -2/5
Let j(v) be the first derivative of v**6/60 + 2*v**5/15 + 32*v**2 - 14. Let b(q) be the second derivative of j(q). Solve b(t) = 0 for t.
-4, 0
Let c(v) = v**3 - 7*v**2 - 56*v + 393. Let x be c(7). Let f(w) be the second derivative of -1/6*w**4 + 0*w**2 - 1/3*w**3 - 5*w - x. Let f(q) = 0. What is q?
-1, 0
Let w(g) be the first derivative of 3/4*g**4 + 0*g**2 + 0*g - 33 + 2*g**3. Factor w(p).
3*p**2*(p + 2)
Let m(o) be the second derivative of 7/135*o**6 + 0*o**4 - 1/63*o**7 + 0*o**2 + 121*o - 1/45*o**5 + 0*o**3 + 0. Factor m(y).
-2*y**3*(y - 2)*(3*y - 1)/9
Let f(b) = -19*b - 8. Let u be f(-3). Let i be (-3)/18 - (-39)/18. Find l, given that -u*l**2 + 26*l**3 - 2*l**3 + 13*l**i - 4*l**4 = 0.
0, 3
Suppose -5*h + 11 = -4*w - 71, 7*h - 2*h = 90. Suppose 40/7 + 16/7*q - 2*q**w - 6/7*q**3 = 0. Calculate q.
-2, 5/3
Let c = -2307/4 + 797/4. Let h = c + 385. Suppose 3*o**3 - h*o**2 + 0 - 9/2*o = 0. Calculate o.
-1/2, 0, 3
Let s = -890085/8 + 111264. Let s*z**5 + 45/4*z**2 - 6*z**4 - 93/8*z**3 + 33/2*z + 3 = 0. What is z?
-1, -2/9, 2
Let c(p) be the third derivative of -p**5/240 + 581*p**4/32 - 871*p**3/12 + 14799*p**2. Solve c(w) = 0.
1, 1742
Let t(r) = 17 + 14 - 50 + 18. Let k(y) = y**2 - y. Let p(g) = 5*g**2 - g + 2. Let w(v) = -4*k(v) + p(v). Let s(u) = 2*t(u) + w(u). Factor s(i).
i*(i + 3)
Let k be -1*42*(1 - 13). Suppose -5*j = -12*j + k. Factor -7 - 9 - 5*h**4 - 4 - 12*h + 30*h**3 + j*h - 65*h**2.
-5*(h - 2)**2*(h - 1)**2
Let p(i) be the first derivative of -i**6/40 + 27*i**5/20 + 57*i**4/8 + 29*i**3/2 - i**2 + 117*i - 36. Let o(g) be the second derivative of p(g). Factor o(f).
-3*(f - 29)*(f + 1)**2
Let j(u) = 9*u**2 - 11*u. Let g be j(1). Let p be g/(-4)*0/(6 - 15). Suppose -w**2 - 1/2*w**3 + p*w + 1/2*w**4 + 0 = 0. Calculate w.
-1, 0, 2
Suppose -4*v - 17*c = -19*c - 12, 0 = 5*c. What is u in -2*u - 3*u + 4*u**2 - 10*u + 3*u**v + 8*u**2 = 0?
-5, 0, 1
Determine d, given that -384*d**2 + 372*d**3 - 58*d**4 + 107*d - 374*d**2 - 192 + 530*d - d**5 = 0.
-64, 1, 3
Let h = -7401 + 7415. Let r(n) be the first derivative of h - 21/4*n**4 - 3*n**5 + 3*n**3 + 21/2*n**2 + 6*n. Suppose r(d) = 0. What is d?
-1, -2/5, 1
Let y(h) be the second derivative of -h**7/45 + 43*h**6/225 - 4*h**5/15 + 8*h - 139. Find z such that y(z) = 0.
0, 8/7, 5
Let r = 3 + -4. Let b(a) = 11*a**3 + 6*a**2. Let d(u) be the third derivative of u**6/120 + u**5/60 - 9*u**2. Let y(c) = r*b(c) + 6*d(c). Factor y(s).
-5*s**3
What is g in -304*g + 42*g**2 - 2/3*g**3 + 1760/3 = 0?
4, 55
Let l(h) = -h**2 - 10*h + 2. Let v be l(0). Find t such that 7*t - 32*t - 30 + 5*t**v + 0*t = 0.
-1, 6
Factor -18*u**2 + 46127247*u**3 - 46127253*u**3 - 2*u**5 + 6*u**4 + 4*u**4.
-2*u**2*(u - 3)**2*(u + 1)
Let s(r) be the first derivative of 2*r**4 + 364*r**3 - 276*r**2 - 548*r - 3385. Factor s(v).
4*(v - 1)*(v + 137)*(2*v + 1)
Let 8791*a**4 + 1128*a + 21516*a**2 - 105*a**5 - 4733 + 2525 + 1196*a**4 - 30318*a**3 = 0. What is a?
-2/7, 2/5, 1, 2, 92
Let d(i) be the third derivative of -1/120*i**5 - 2*i**2 + 0*i**3 + 100*i + 11/48*i**4 + 0. Determine n, given that d(n) = 0.
0, 11
Let r(y) = -5*y**2 + 5312*y - 1458000. Let c(p) = 5*p**2 - 5334*p + 1458000. Let d(x) = -4*c(x) - 3*r(x). Factor d(o).
-5*(o - 540)**2
Let r(q) be the first derivative of q**4/8 - 41*q**3/4 + 117*q**2/2 + 142*q - 59. Let p(z) be the first derivative of r(z). What is y in p(y) = 0?
2, 39
Let q = 191 + -178. Suppose 5*c - 14 = 6. Factor 11 + 16*g - q - 10 - c*g**2.
-4*(g - 3)*(g - 1)
Let k = -197671/37 + 5343. Let s = 476/333 - k. Factor 0 - s*j**2 + 0*j - 2/9*j**3.
-2*j**2*(j + 4)/9
Let z(r) be the first derivative of 13/24*r**4 - 13*r + r**2 + 12 + 4/3*r**3 + 3/40*r**5. Let u(a) be the first derivative of z(a). Factor u(j).
(j + 2)**2*(3*j + 1)/2
Let l(j) be the first derivative of -2*j**5/15 - 21*j**4/2 + 130*j**3/3 - 197*j**2/3 + 44*j - 119. Factor l(t).
-2*(t - 1)**3*(t + 66)/3
Let o(n) = 3*n**4 + n**2 - n. Let a(b) = 2*b**5 + 18*b**4 + 368*b**3 - 938*b**2 + 778*b. Let f(i) = 2*a(i) - 44*o(i). Suppose f(k) = 0. Calculate k.
0, 2, 10
Let j(u) = -u**3 - 3*u**2 - 34*u - 62. Let m be j(-2). Factor -80/3*g + 800/3 + 2/3*g**m.
2*(g - 20)**2/3
Suppose 10*x - 2*x = 936. Let t be (14/21)/(3*2/x). Determine m, given that 2*m**3 - 10*m + t*m + 0*m**3 + m + 6*m**2 = 0.
-2, -1, 0
Let 115/2*p + 288*p**2 + 3/2*p**5 + 0 + 405*p**3 + 176*p**4 = 0. Calculate p.
-115, -1, -1/3, 0
Let s(g) = -g**4 + 16*g**3 + 10*g - 7. Let l(q) = -16*q**3 + 6 + 4*q**2 + q**2 + 2*q**3 - 4*q**2 - 9*q + q**4. Let z(o) = -6*l(o) - 5*s(o). Factor z(d).
-(d - 1)**4
Factor 87/2*s**2 + 0*s + 0 - 1/4*s**3.
-s**2*(s - 174)/4
Let h(m) be the third derivative of 2*m**7/105 - 9*m**6/10 + 47*m**5/3 - 231*m**4/2 + 968*m**3/3 - 9*m**2 + 24. Solve h(w) = 0 for w.
1, 4, 11
Let a be (-9)/((-14)/8*(330/(-77))/(-5)). Solve -6*t + a*t**3 + 3/2*t**4 + 15/2 - 9*t**2 = 0 for t.
-5, -1, 1
Let k(h) = 582*h**2. Let n be k(1). Factor 10 + 130 + n - 76*v + 2*v**2.
2*(v - 19)**2
Let j = 214 + -95. Factor j*o**2 - 119*o**2 + 5*o**3.
5*o**3
Suppose 296*a + 1016*a = 3936. Find j such that -4/3*j**2 + 4/9*j**5 + 10/9*j + j**4 - 14/9*j**a + 1/3 = 0.
-3, -1, -1/4, 1
Factor -1574*q**2 - 141100*q - 10022*q**2 - 850*q**3 - 7524*q**2 - 5*q**4 - 1286*q**2 - 137780 - 17379*q**2.
-5*(q + 2)**2*(q + 83)**2
Let y(z) be the second derivative of z**7/399 - 8*z**6/95 - 11*z**5/38 + 35*z**4/57 + 68*z**3/19 + 104*z**2/19 + 7*z + 10. Solve y(q) = 0 for q.
-2, -1, 2, 26
Let z = 3018 + 1910. Solve 10*a**3 - 17 + 4918*a - z*a + 2 - 5*a**4 + 20*a**2 = 0 for a.
-1, 1, 3
Let h(q) be the third derivative of -q**5/210 + 2*q**4/21 - q**3/3 + 1787*q**2. Suppose h(z) = 0. What is z?
1, 7
Determine h, given that -87361100028723/4 + 37607016801*h - 3/4*h**4 - 48566961/2*h**2 + 6969*h**3 = 0.
2323
Factor 260*g + 59150 + 2/7*g**2.
2*(g + 455)**2/7
Let t(x) be the third d