z?
-3, 0
Let g(h) = h**2 - h. Let a(c) = c**2 + 16*c - 9. Let t(l) = -a(l) - 2*g(l). Let v be t(-5). Factor 24*f**3 - v*f**4 + 6*f**2 + 3*f**4 + 42*f**2 + 4*f**4.
3*f**2*(f + 4)**2
Let s = -5103891/5 - -1020996. Factor -1/5*t**3 - 1023/5*t - s + 13*t**2.
-(t - 33)**2*(t + 1)/5
Let x = 146 - 143. Find h such that 10 + 2*h**3 + 3*h - h**2 - h**3 - 4*h**x - h**4 - 8 = 0.
-2, -1, 1
Let h be ((-47)/(-141))/((-1)/9) + (-4 - -12). Factor 3/7*q**h + 0*q - 30/7*q**4 - 24/7*q**2 + 0 + 51/7*q**3.
3*q**2*(q - 8)*(q - 1)**2/7
Let o be 12/(-9)*((-18)/(-4))/(-3). Let g be (o + 0 - 5)*(-64)/24. Find k, given that -g*k**3 - 4*k + 2*k + 5*k**4 + 7*k**2 - k**3 - k**5 = 0.
0, 1, 2
Let q be (-98)/8379 + 14450/17100. What is s in q*s - 1/2*s**3 - 2/3 + 1/3*s**2 = 0?
-4/3, 1
Let v = 10 - 2. Let t(h) = 5*h - 113. Let r be t(23). Factor 2*x**4 + 3*x**3 - 7*x**3 - v + r*x**2 + 8.
2*x**2*(x - 1)**2
Let v(q) be the first derivative of 45*q**4/8 + 825*q**3/2 + 45375*q**2/4 + 831875*q/6 + 1097. Factor v(a).
5*(3*a + 55)**3/6
Suppose 0 + 3/5*s**3 + 0*s**2 - 3/5*s = 0. Calculate s.
-1, 0, 1
Let l be (-2*10/(-28))/(843/3934). Factor -14/3*x - l*x**2 - 4/3.
-2*(x + 1)*(5*x + 2)/3
Let 6046*p**2 + 61 - 375*p - 6047*p**2 + 126 + 189 = 0. Calculate p.
-376, 1
Let i(k) = 10*k**3 + 150*k**2 + 1095*k - 2905. Let s(m) = -9*m**3 - 152*m**2 - 1097*m + 2902. Let n(g) = 4*i(g) + 5*s(g). Suppose n(v) = 0. Calculate v.
-17, 2
Let o(s) = -38*s - 322. Let c be o(-9). Determine h so that -c*h**2 + 0*h**4 + 7*h - 11*h**4 + 21*h**4 + 9*h**5 + 5*h - 17*h**3 + 14*h**4 = 0.
-3, -1, 0, 2/3
Let h = -21421 + 236904/11. Let x = h - 115. Factor 2/11*o**2 + 8/11 - x*o.
2*(o - 2)**2/11
Suppose 0 = 8*k - 9*k - 6. Let o = -3 - k. Factor -c**2 + o*c**2 - 4*c**2 + 2*c.
-2*c*(c - 1)
Factor -786*j + 308898 + 1/2*j**2.
(j - 786)**2/2
Factor 8/3*t**2 + 0 + 32/15*t + 16/15*t**3 + 2/15*t**4.
2*t*(t + 2)**2*(t + 4)/15
Let t(b) be the first derivative of 29*b**3/4 - 7389*b**2/8 - 255*b/2 + 8377. Factor t(m).
3*(m - 85)*(29*m + 2)/4
Let o(a) = -2*a + 1. Let z be o(-1). Let c be (-15)/(1*(2 - z/1)). Factor c*b - 13 - 52*b**2 - 63*b - 3 - 2*b**3 - 22*b**3 - 4*b**4.
-4*(b + 1)**2*(b + 2)**2
Let v(j) = -12*j + 4. Let m(x) = 7*x + 56. Let y be m(-8). Let i be v(y). Let 3803*g**2 + 3*g**4 + 0*g**i - 3806*g**2 = 0. Calculate g.
-1, 0, 1
Let k be (-1678)/(-68) - 4 - 8. Let c = 224/17 - k. Factor -1/2*u**3 - 1/2*u**2 + 0 + c*u + 1/2*u**4.
u*(u - 1)**2*(u + 1)/2
Let v(c) = c**2 - 9*c + 105. Let x(m) = 6*m**2 - 47*m + 524. Let p(y) = 11*v(y) - 2*x(y). Let b be p(8). Factor -q**2 + 6*q**b - 2*q + 1/2 + 9/2*q**4.
(q + 1)**2*(3*q - 1)**2/2
Let p = 356 + -363. Let z be (-12)/(p - -4) - 4. What is i in 0*i - i**5 + z*i**2 - 2/3*i**3 + 0 + 5/3*i**4 = 0?
0, 2/3, 1
Let 300*k**4 + 5176*k**2 + 5768*k**3 + 4*k**5 - 3244 - 1688*k - 4084*k - 2232 = 0. Calculate k.
-37, -1, 1
Let v(z) = -4*z + z - 1618 + 17*z + 1455. Let c be v(12). Let 0*u - 2/9*u**c + 0 + 2/9*u**3 + 2/9*u**2 - 2/9*u**4 = 0. Calculate u.
-1, 0, 1
Let b(l) be the third derivative of 0 + 6*l + 13/2*l**3 - l**2 - 1/20*l**5 + 3/2*l**4. Factor b(t).
-3*(t - 13)*(t + 1)
Suppose -11*w = -16*w, -3*k + 2*w + 18 = 0. Let d(s) be the first derivative of -k + 1/2*s + 7/8*s**2 - 3/4*s**3. Factor d(q).
-(q - 1)*(9*q + 2)/4
Let x(u) be the third derivative of -u**6/24 + 13*u**5/6 - 140*u**4/3 + 1600*u**3/3 + 3221*u**2. Find d such that x(d) = 0.
8, 10
Find w, given that 1060*w**3 + 0*w**2 - 1 + 1068*w**3 + 4*w**2 - 3 + 2*w - 2130*w**3 = 0.
-1, 1, 2
Let p(o) be the second derivative of o**6/6 - o**5 - 75*o**4/4 - 1270*o - 1. Factor p(v).
5*v**2*(v - 9)*(v + 5)
Determine i, given that -10/11*i**2 + 56/11*i - 46/11 = 0.
1, 23/5
Let a(y) be the third derivative of y**5/180 + 17*y**4/18 + 35*y**3/2 - 5*y**2 - 112*y. Determine s so that a(s) = 0.
-63, -5
Let a(d) = 8*d**3 - 37*d**2 - 30*d - 5. Let k(b) = b**3 - 2*b**2 - 1. Let j = 155 - 156. Let g(u) = j*a(u) + 5*k(u). Factor g(c).
-3*c*(c - 10)*(c + 1)
Let t(y) be the third derivative of -7*y**5/180 + 55*y**4/72 + 25*y**3/3 - 79*y**2 + 70. Factor t(l).
-(l - 10)*(7*l + 15)/3
Let d(w) be the first derivative of 0*w + 1/3*w**5 + 0*w**2 + 0*w**4 - 79 - 5/9*w**3. Factor d(h).
5*h**2*(h - 1)*(h + 1)/3
Suppose 265*n = -987*n + 2504. Find t, given that 3/2 - 3/4*t**5 + 21/4*t + 6*t**n - 3/2*t**4 + 3/2*t**3 = 0.
-1, 2
Suppose -15*n + 160 = 25*n. Find r, given that r**3 - 3*r**3 + 3*r**4 + 4*r**4 - 6*r**n + 4*r**3 = 0.
-2, 0
Let b(k) = -11*k**2 - 15 - 163*k**3 + 327*k**3 - 8*k - 166*k**3. Let x be b(-5). Solve 0*c**3 + 2/5*c**2 + 0*c + x - 2/5*c**4 = 0.
-1, 0, 1
Suppose 347*z - 5*k + 18 = 348*z, 12 = -z + 5*k. Let x(l) be the first derivative of -10 - 15*l**4 - 20*l**2 + 95/3*l**z + 5*l. Factor x(v).
-5*(v - 1)*(3*v - 1)*(4*v - 1)
Let m = -16 + 11. Let b be 48/(-16) + m/((-5)/6). Suppose -7 + 3 + 3*h**b - 2 - 9*h = 0. What is h?
-1, 2
Let o(f) be the third derivative of f**6/15 - 99*f**5/5 - 397*f**4/16 - 149*f**3/12 - 38*f**2 - 4. Factor o(g).
(g - 149)*(4*g + 1)**2/2
Let p(r) be the second derivative of -86/21*r**3 + 90*r - 4/7*r**2 + 15/7*r**4 - 1. Find v such that p(v) = 0.
-2/45, 1
Let y(o) = -3*o**2 + 62*o - 92. Let c be y(19). Suppose -4*i - i = -25. Determine f so that -2*f**c + 43*f**i + 50*f**5 - 91*f**5 = 0.
-1, 0, 1
Let w(x) = 2*x**3 + 50*x**2 - 610*x + 1262. Let k(f) = -5*f**3 - 149*f**2 + 1829*f - 3787. Let g(d) = -2*k(d) - 7*w(d). Solve g(b) = 0 for b.
-21, 3, 5
Factor 573049*m + 433798093/3 + 1/3*m**3 + 757*m**2.
(m + 757)**3/3
Let h(y) be the third derivative of -y**7/1365 - y**6/65 - 5*y**5/39 - 7*y**4/13 - 15*y**3/13 - 1193*y**2. Determine d, given that h(d) = 0.
-5, -3, -1
Let q(g) be the second derivative of -16/21*g**7 - g**4 + 0*g**2 + 0*g**3 - 38/15*g**6 - 54*g + 0 - 14/5*g**5. What is b in q(b) = 0?
-1, -3/8, 0
Let v(k) = -k**3 + 47*k**2 - 443*k + 15. Let u be v(13). Let t(y) be the first derivative of 5/3*y**3 + 15*y**u + 40*y + 40. Let t(i) = 0. Calculate i.
-4, -2
Solve -6125*c**4 - 45*c**2 - 15*c**2 + 6157*c**4 - 476*c**3 = 0 for c.
-1/8, 0, 15
Let k(b) be the first derivative of -b**4/12 + 55*b**3/9 - 69*b**2/2 + 51*b - 2893. Determine u so that k(u) = 0.
1, 3, 51
Let j(z) = -5*z**4 - 113*z**3 - 113*z**2 + 2094*z - 2647. Let t(o) = 5*o**4 + 114*o**3 + 114*o**2 - 2092*o + 2646. Let f(g) = -6*j(g) - 7*t(g). Factor f(a).
-5*(a - 2)**2*(a + 6)*(a + 22)
Let w(n) be the second derivative of n**4/132 + 1229*n**3/33 + 1510441*n**2/22 + 2909*n. What is c in w(c) = 0?
-1229
Let j(a) = 11*a**3 - 771*a + 3430. Let l(f) = -23*f**3 + 1548*f - 6860. Let c(t) = 13*j(t) + 6*l(t). Factor c(g).
5*(g - 7)**2*(g + 14)
Let i(f) be the third derivative of f**6/480 - 13*f**5/120 + 49*f**4/96 - f**3 + 2347*f**2. Determine h so that i(h) = 0.
1, 24
Suppose -5*t = -5*l - 25, -37*t = -36*t - 3*l - 13. Factor -3*b**3 - 9*b**3 - t + 9*b - 313*b**4 + 7 + 3*b**3 + 310*b**4 - 3*b**2.
-3*(b - 1)*(b + 1)**2*(b + 2)
Let v(w) be the second derivative of w**6/120 + w**5/20 - 2*w**3/3 + 68*w**2 + 21*w. Let k(h) be the first derivative of v(h). Solve k(r) = 0 for r.
-2, 1
Factor -101/4*d + 1/4 - 51/2*d**2.
-(d + 1)*(102*d - 1)/4
Let p be 53/583*(-2 - 3)/(-30). Let w(x) be the second derivative of 43*x + p*x**4 + 3/11*x**2 + 4/33*x**3 + 0. What is q in w(q) = 0?
-3, -1
Let i(p) be the second derivative of 9/28*p**4 + 5/7*p**3 + 7*p - 3/140*p**5 + 0 + 0*p**2. What is j in i(j) = 0?
-1, 0, 10
Let u = 605212 - 1815604/3. Factor u*r**2 + 0*r + 16/9*r**4 - 2/9*r**5 + 88/9*r**3 + 0.
-2*r**2*(r - 12)*(r + 2)**2/9
Let g(k) be the second derivative of -5 - k + 2/33*k**4 + 2/11*k**2 - 5/33*k**3 - 1/110*k**5. Factor g(v).
-2*(v - 2)*(v - 1)**2/11
Let j = -312 - -350. Factor 290*f**3 + 45*f**5 + 60*f - 33*f + 5 + j*f + 210*f**2 + 185*f**4.
5*(f + 1)**4*(9*f + 1)
Let c(u) be the first derivative of -u**6/2 + 39*u**5/5 + 75*u**4/4 - 409*u**3 - 1980*u**2 - 2700*u - 1608. What is m in c(m) = 0?
-3, -1, 10
Let y(x) be the third derivative of -1 - 1/6*x**4 - 1/15*x**5 + 0*x**3 + 1/120*x**6 + 1/210*x**7 + 0*x - 19*x**2. Factor y(v).
v*(v - 2)*(v + 1)*(v + 2)
Let w be 8/(-56) - (1 - (-10)/(-7)). Suppose -686 = -30*c - 626. Let -2/7*t + 0*t**c + 1/7*t**4 + w*t**3 - 1/7 = 0. Calculate t.
-1, 1
Let l(i) = -5*i**2 + 1034*i + 2034. Let c(f) = -32*f**2 + 7236*f + 14240. Let t(y) = 3*c