or a(z).
-2*(z + 1)*(z + 8)*(z + 66)/7
Solve -11/2*z**2 - 1/2*z**5 - 29/2*z**3 + 11/2*z**4 + 0 + 15*z = 0 for z.
-1, 0, 1, 5, 6
Let m(t) be the first derivative of 0*t - 1/40*t**6 - 2/9*t**3 - 1/6*t**4 + 24 - 2*t**2 + 5/36*t**5. Let z(i) be the second derivative of m(i). Factor z(a).
-(a - 2)*(a - 1)*(9*a + 2)/3
Suppose 5*d + 165 = 5*s + 6*d, -4*d + 33 = s. Determine v so that 3*v**5 - 120*v**2 + 84*v**2 - s*v**4 + 6*v**4 + 60*v**3 = 0.
0, 1, 2, 6
Suppose -21*s + 17 = 40*x - 42*x, -5*x + 3*s + 7 = 0. Suppose 16/5*w**x - 12*w**4 + 0 + 48/5*w**3 + 0*w + 16/5*w**5 = 0. Calculate w.
-1/4, 0, 2
Let b(o) = 14*o**2 - 233*o - 82. Let v be b(17). Determine a so that 0 + 1/5*a**v + 13/5*a - 14/5*a**2 = 0.
0, 1, 13
Let s be (-6)/24 + 55/(-4). Let t = s + 17. Determine b so that 2*b**3 - 2*b**3 - t*b**3 + 2*b + 2*b**3 + b**2 = 0.
-1, 0, 2
Let h(t) = -2*t**2 + 14*t + 21. Let f(z) = -z**2 + 7*z + 12. Suppose -9*s + 14 + 31 = 0. Let u(c) = s*f(c) - 2*h(c). Let u(g) = 0. Calculate g.
-2, 9
Determine u, given that -2*u**2 - 8*u**2 + 8*u**4 - 2*u - 2*u**4 + 14*u**3 - 12*u + 4*u**4 = 0.
-7/5, -1, 0, 1
Factor 729/4 + 9/4*u**4 + 3/4*u**5 + 243/4*u - 81/2*u**2 - 27/2*u**3.
3*(u - 3)**2*(u + 3)**3/4
Let b(j) = 4*j**4 - 2*j**3 - 3*j**2 + 3*j - 3. Let o(g) = -8*g**4 + 2*g**3 + 5*g**2 - 5*g + 5. Let v(n) = -5*b(n) - 3*o(n). Suppose v(s) = 0. What is s?
-1, 0
Let g be (-2 - -5) + (22 - 7). Let b = 23 - g. Let -24 - w**2 + 24 + b*w - 4*w**2 = 0. Calculate w.
0, 1
Let a be (-57)/15 + (324/(-9))/(-9). Let y be 1/(-1) - ((-108)/(-45))/(-2). Let -2/5*i**4 + a*i**3 + y*i**5 + 0*i**2 + 0 + 0*i = 0. What is i?
0, 1
Let n(t) be the first derivative of t**5/20 + 5*t**4/12 + 2*t**3/3 + 8*t - 39. Let a(d) be the first derivative of n(d). Factor a(f).
f*(f + 1)*(f + 4)
Let i = -925328 + 4626654/5. Determine c, given that i*c - 6/5*c**3 + 12/5 + 2/5*c**4 - 6/5*c**2 = 0.
-1, 2, 3
Let v(l) be the third derivative of -l**6/24 - 9*l**5/4 - 215*l**4/12 + 440*l**3 + 185*l**2 + 9*l. Let v(k) = 0. What is k?
-22, -8, 3
Suppose 85 = 5*x - 10*r, -41 = -48*x + 46*x + 5*r. Suppose -27/5*l**2 + x*l**3 + 9/5*l + 3/5 = 0. What is l?
-1/5, 1
Let r(p) be the first derivative of -p**4/24 - p**3/2 + 3*p**2/4 + 27*p/2 - 9557. Factor r(x).
-(x - 3)*(x + 3)*(x + 9)/6
Let g(y) be the first derivative of y**4/10 - 236*y**3/5 - 2151*y**2/5 - 1296*y + 5106. Find v such that g(v) = 0.
-3, 360
Let g(c) be the first derivative of -1/6*c**4 - 86 + 0*c**2 + 0*c + 1/9*c**6 - 10/27*c**3 + 2/9*c**5. Solve g(m) = 0 for m.
-5/3, -1, 0, 1
Suppose -5*j + 8*z + 26 = 11*z, -5*z = -5*j + 50. Suppose j*v**2 + 10*v - 4*v**2 + 12*v + 23*v + 42 = 0. Calculate v.
-14, -1
Let -2560*o + 16384 + 68*o**2 - 1/2*o**3 = 0. Calculate o.
8, 64
Let f(w) be the third derivative of 49/36*w**3 + 0*w + 10*w**2 - 1/60*w**6 - 6 + 7/12*w**4 + 1/1260*w**7 + 11/180*w**5. Factor f(d).
(d - 7)**2*(d + 1)**2/6
Let g = -38268/7 + 115490/21. Factor 56*o - 8*o**3 + g + 44/3*o**2 + 2/3*o**4.
2*(o - 7)**2*(o + 1)**2/3
Determine h so that -312*h - 1718*h**2 - 1342*h**3 - 28 + 638*h**2 - 684*h**4 + 406*h**3 - 472*h**3 - 72*h**5 = 0.
-7, -1, -1/3, -1/6
Let b(x) = x**2 - 8*x. Let k(q) = 41*q**2 - 17*q**2 - 5*q**2 - 64*q - 11*q**2. Let a(r) = -51*b(r) + 6*k(r). Find s, given that a(s) = 0.
0, 8
Let y be 90/5 + (9 - 12). Let r(l) be the first derivative of -2/65*l**5 + y + 0*l - 3/26*l**4 + 3/13*l**2 + 2/39*l**3. Let r(t) = 0. What is t?
-3, -1, 0, 1
Let l(i) = -i + 26. Let g be l(22). Find d such that 0*d + 3*d**g + 0*d + 4*d - 3*d**2 - d - 3*d**3 = 0.
-1, 0, 1
Let y(o) be the first derivative of o**5 - 135*o**4/4 + 125*o**3 - 365*o**2/2 + 120*o - 1410. Factor y(i).
5*(i - 24)*(i - 1)**3
Let x(w) be the third derivative of -w**5/60 - 22*w**4/3 + 59*w**3/2 - 110*w**2 + 10*w. What is p in x(p) = 0?
-177, 1
Let f(y) be the third derivative of 16335*y**5/26 + 330*y**4/13 + 16*y**3/39 + 12*y**2 - 11*y. Find s, given that f(s) = 0.
-4/495
Let v(q) be the first derivative of 15*q**4/16 + 25*q**3/6 - 5*q**2 - 401. Factor v(l).
5*l*(l + 4)*(3*l - 2)/4
Let f(u) be the third derivative of 1/35*u**5 + u**2 + 32 + 0*u**3 + 1/280*u**6 - 1/490*u**7 - 1/14*u**4 + 0*u. Factor f(z).
-3*z*(z - 2)*(z - 1)*(z + 2)/7
Solve -95*d**2 - 207*d - 137 + 112 + 87*d = 0.
-1, -5/19
Suppose 89*k - 87*k + 96 = 0. Let g be (k/32)/((-3)/4). Find t such that 30*t**3 + 128/15*t + 8/15 + 38*t**g = 0.
-1, -2/15
Let i(h) be the second derivative of h**7/13860 + h**6/360 + 3*h**5/110 + 7*h**4/6 + h**3/3 - 200*h. Let d(g) be the third derivative of i(g). Factor d(w).
2*(w + 2)*(w + 9)/11
Let i(p) be the third derivative of -2*p**7/105 - 77*p**6/30 - 74*p**5/15 + 76*p**4/3 - 3*p**2 + 2*p + 660. Factor i(o).
-4*o*(o - 1)*(o + 2)*(o + 76)
Suppose -15 = -4*a - a. Suppose -3*g + 18 = a*g. Factor -59*o - 3*o**2 + 56*o - 3*o**2 + 0*o**3 - 3*o**g.
-3*o*(o + 1)**2
Let n(a) be the third derivative of a**6/420 + 109*a**5/210 - 130*a**4/3 + 3836*a**3/3 - 6*a**2 + 890*a. Factor n(s).
2*(s - 14)**2*(s + 137)/7
Let z(p) be the first derivative of p**5/20 - 17*p**4/16 + 17*p**3/4 + 157*p**2/8 + 22*p + 5860. Factor z(q).
(q - 11)*(q - 8)*(q + 1)**2/4
Factor 588*h**3 + 597*h**3 - 2350*h**3 + 597*h**3 - 3*h**4 + 589*h**3.
-3*h**3*(h - 7)
Find y, given that -115200/7 - 964/7*y**3 - 117122/7*y**2 - 2/7*y**4 - 231360/7*y = 0.
-240, -1
Let o = -3404/7 - -34047/70. Let n(v) be the first derivative of o*v**4 + 14 + 0*v**2 + 0*v + 2/15*v**3. Factor n(k).
2*k**2*(k + 1)/5
Let t be 90/(-35) + 2 - (-32)/7. Let d be -1 - (-10)/6*3. Factor -7 - 3*v**t - 16*v + v**d + 9 + 4 + 12*v**2.
-2*(v - 1)**3*(v + 3)
Let d be -4 + 8 - (-1 + 12). Let m be d + 9 + (4 - 0). What is k in m*k + 90*k**2 - 7 - 3 + 19*k = 0?
-1/2, 2/9
Let u(s) be the third derivative of -s**2 - 23/270*s**5 + 0*s + 64/3*s**3 - 1/1080*s**6 - 20/9*s**4 + 27. Let u(p) = 0. Calculate p.
-24, 2
Solve -27/2*x**4 - 3/2*x**5 - 99*x + 147/2*x**2 + 81/2*x**3 + 0 = 0 for x.
-11, -2, 0, 1, 3
Let b be ((-4)/30)/(41 - 10400/250). Determine v so that -b*v**3 - 4 - 14/3*v - 16/9*v**2 = 0.
-3, -2
Suppose -t + 58 = -5*l, -6*t + l + 338 = -t. Let u be 64/40 - 2 - t/(-20). Suppose 6/11*a**4 - 4/11 - 14/11*a + 14/11*a**u - 2/11*a**2 = 0. Calculate a.
-2, -1, -1/3, 1
Let d = 9533/33096 - 11/4728. Suppose 0 - 12/7*i - d*i**3 + 2*i**2 = 0. What is i?
0, 1, 6
Suppose 53*i**3 + 8*i**4 - 53*i + 101*i**2 + 6 - 59 - 6*i**4 - 49 - i**4 = 0. What is i?
-51, -2, -1, 1
Factor 4588/5*a + 2631218/5 + 2/5*a**2.
2*(a + 1147)**2/5
Let f(y) = y**2 - 2*y. Let k(q) = q**2 + 78*q - 160. Let m(b) = 16*b - 60. Let c be m(4). Let x(g) = c*f(g) + k(g). Factor x(r).
5*(r - 2)*(r + 16)
Let y(z) be the first derivative of -z**5/50 + z**4/10 - z**3/10 - 1150. Let y(q) = 0. Calculate q.
0, 1, 3
Let t(n) be the first derivative of n**6/120 - 3*n**5/5 + 18*n**4 - 2*n**3/3 - 4*n - 6. Let m(x) be the third derivative of t(x). Factor m(r).
3*(r - 12)**2
Let l(p) be the second derivative of -p - 1/210*p**6 + 0*p**2 - 17 - 3/7*p**3 - 1/4*p**4 - 2/35*p**5. What is v in l(v) = 0?
-3, -2, 0
Factor -11907/5*i**3 - 16821*i**2 - 84/5 - 5304/5*i.
-3*(i + 7)*(63*i + 2)**2/5
Let b = 713179/54 - 13207. Let j(n) be the second derivative of 21*n + 0 - 1/135*n**6 + 2/9*n**2 - 1/30*n**5 + 1/9*n**3 - b*n**4. Let j(t) = 0. What is t?
-2, -1, 1
Let x(j) be the second derivative of j**4/42 + 2144*j**3/21 + 2143*j**2/7 - 8890*j. Factor x(m).
2*(m + 1)*(m + 2143)/7
Factor 64*r - 2560 - 2/5*r**2.
-2*(r - 80)**2/5
Suppose -63 = 11*h - 32*h. Let s(l) be the first derivative of -3 + 1/6*l**h + l + 3/4*l**2. Find m, given that s(m) = 0.
-2, -1
Let i be (2 + (-22)/14)/((-10916)/(-38206)). What is p in 0 + 21/2*p**4 - 21/2*p**2 + 27/2*p**3 + i*p**5 - 15*p = 0?
-5, -2, -1, 0, 1
Suppose 3*m**5 + 0*m + 396*m**3 - 1107/2*m**2 + 0 - 159/2*m**4 = 0. Calculate m.
0, 3, 41/2
Let l(q) be the first derivative of q**6/30 + 3*q**5/25 - 3*q**4/20 - 7*q**3/15 + 3*q**2/5 - 1143. Find n, given that l(n) = 0.
-3, -2, 0, 1
Suppose -16*d - 30 + 170 = 19*d. Let n(r) be the second derivative of 0*r**2 - 4*r + 1/9*r**d + 0 - 2/45*r**6 - 1/15*r**5 + 0*r**3 + 2/63*r**7. Factor n(q).
4*q**2*(q - 1)**2*(q + 1)/3
Let i = -189649 - -379307/2. Factor -i*q + 9/2*q**3 + 0 - 3/2*q**2 + 3/2*q**4.
3*q*(q - 1)*(q + 1)*(q + 3)/2
Let t(v) be the first derivative of -1/8*v**4 + 13*v +