ve q(u) = 0.
-4, -1, 9
Let v = -10253/7 - -1465. Factor v*j**3 - 2/7 - 6/7*j**2 + 6/7*j.
2*(j - 1)**3/7
Let x(f) = -f**2 + f + 14. Let l be x(-3). Let 8*w**4 + w**5 - 15*w**5 + 3*w**l + 5*w**5 - 15*w**3 + 13*w**4 = 0. Calculate w.
0, 1/3, 1
Let m be 2*1*39/6. Let g = 15 - m. Factor 9*w**2 + 16*w**3 - 3*w**2 - 2*w**2 - g*w**3 + 10*w**4.
2*w**2*(w + 1)*(5*w + 2)
Let f = -47 - -55. Suppose 0 = o - 2*z, -2*z + f = 3*o - 0. Let 1/5*t**4 + 1/5*t**3 - 3/5*t**o - 2/5 - t = 0. What is t?
-1, 2
Let t(v) = -v**2 - 4*v + 3. Let i be t(-4). Let k = 48 - 40. Suppose 7*o + 1 - k + 5*o - i*o**2 - 2 = 0. Calculate o.
1, 3
Let c(d) be the first derivative of 1/12*d**4 - 1/3*d**5 + 0*d + 1/18*d**6 - 40 - 3*d**2 + 7/3*d**3. Solve c(g) = 0 for g.
-2, 0, 1, 3
Let s(o) be the second derivative of 0 - 1/54*o**4 - 2/9*o**2 - 1/9*o**3 - 2*o. Determine c so that s(c) = 0.
-2, -1
Let l(o) be the first derivative of 6*o**4 + 9/2*o + 9/10*o**5 + 12*o**2 + 13*o**3 + 15. What is i in l(i) = 0?
-3, -1, -1/3
Let g(j) be the second derivative of 4*j**4/21 + 902*j**3/21 - 226*j**2/7 + 315*j. Find o, given that g(o) = 0.
-113, 1/4
Let o(v) be the second derivative of -1/42*v**4 - 2/7*v**2 + 0 - 1/7*v**3 - 9*v. Determine p so that o(p) = 0.
-2, -1
Suppose i = 3*i - 3*j - 19, 0 = -5*j - 25. Let n be (-960)/(-1008) - (i + 14/(-6)). Factor -6/7*h - 3/7*h**3 + n*h**2 + 0.
-3*h*(h - 2)*(h - 1)/7
Factor -50 + 680*n**2 + 678*n**2 - 27*n - 1359*n**2.
-(n + 2)*(n + 25)
Let d(q) be the second derivative of -4/45*q**4 + 0*q**2 + 0 - 14*q + 1/30*q**5 - 1/225*q**6 + 4/45*q**3. Find x, given that d(x) = 0.
0, 1, 2
Suppose -30*i = -11*i + 39*i. Find z, given that -4*z**2 - 8/3*z + i + 80/3*z**3 = 0.
-1/4, 0, 2/5
Factor 15*k + 24*k - 34*k - 10 + 15*k**2.
5*(k + 1)*(3*k - 2)
Let s(g) be the first derivative of g**5/60 - g**4/108 + 8*g**2 + 1. Let c(k) be the second derivative of s(k). Factor c(o).
o*(9*o - 2)/9
Let y(p) be the second derivative of 0 + 1/24*p**4 + 0*p**3 + 1/30*p**5 + 1/120*p**6 - 4*p - 5/2*p**2. Let s(f) be the first derivative of y(f). Factor s(i).
i*(i + 1)**2
Let v = 7805/2 + -3891. Find k such that 0*k + 2 - v*k**2 + 5*k**4 - 9/2*k**3 = 0.
-1, -1/2, 2/5, 2
Determine c so that 6*c + 10 + 5 + c**2 - 2*c**2 + 1 = 0.
-2, 8
Let z(o) be the first derivative of -2*o**3/27 + 37*o**2/3 - 220*o/9 + 700. Find m such that z(m) = 0.
1, 110
Factor 70*q + 215*q - 127*q + q**3 + 44*q**2 + 326*q.
q*(q + 22)**2
Let h(m) = -28*m**2 + 1 + 63*m**2 - 34*m**2. Let d(y) = -2*y**3 + 20*y**2 - 4*y + 14. Let c(s) = 2*d(s) - 28*h(s). Let c(b) = 0. Calculate b.
0, 1, 2
Suppose -10 = -4*u + 545*w - 544*w, -5*u + 3*w + 16 = 0. Suppose -4/11 + 42/11*o - 152/11*o**u - 144/11*o**4 + 32/11*o**5 + 226/11*o**3 = 0. Calculate o.
1/4, 1, 2
Let b(g) = 10*g**2 + 2*g. Let h be b(-2). Factor h*d**4 - 15*d**3 + 18*d**3 - 4*d**2 + 25*d**3 - 4*d**2.
4*d**2*(d + 1)*(9*d - 2)
Factor -8*t + 7/2*t**2 - 1/2*t**3 + 6.
-(t - 3)*(t - 2)**2/2
Suppose 5*s - 16 = s. Suppose u + 6 = s*u. Factor 3*d**u + d**2 + 3 - 3*d**2 + 8*d**2 + 3*d**3 + 9*d.
3*(d + 1)**3
Suppose -a + 520 = -b - 6*a, 4*a - 16 = 0. Let t be (-1 - 9)*72/b. Solve 226/3*s**3 - 48*s**4 + 32/3*s**5 - t + 14*s - 152/3*s**2 = 0 for s.
1/4, 1, 2
Solve -w + 1/8*w**5 + 3/4*w**2 + 0 + 7/8*w**3 - 3/4*w**4 = 0 for w.
-1, 0, 1, 2, 4
Let b(v) be the second derivative of v**4/18 - v**2/3 - 3*v - 1. Factor b(z).
2*(z - 1)*(z + 1)/3
Factor 30*i**2 + 24*i + 41*i - 14741*i**3 + 14736*i**3 - 210.
-5*(i - 7)*(i - 2)*(i + 3)
Let n(x) = x**3 + 12*x**2 - 13*x - 18. Let q be n(-13). Let r = 20 + q. Factor 0 + 5 - 2*l**4 + 1 + 9*l - 3*l**r - l**4 - 9*l**3.
-3*(l - 1)*(l + 1)**2*(l + 2)
Let l(x) be the third derivative of x**5/90 - 11*x**4/18 + 108*x**2. What is j in l(j) = 0?
0, 22
Let p(k) = k**3 - 5*k**2 - 6*k + 4. Let m(l) = 2*l**3 - 9*l**2 - 11*l + 7. Suppose -9*v + 20 = -4*v. Let s(i) = v*m(i) - 7*p(i). Factor s(x).
x*(x - 2)*(x + 1)
What is x in 9/2*x**2 - 6 - 3/2*x**4 - 3*x**3 + 6*x = 0?
-2, 1
Let p(c) be the second derivative of -41*c**4/48 - 15*c**3/8 - c**2/2 + 295*c. Factor p(h).
-(h + 1)*(41*h + 4)/4
Let r(f) be the first derivative of 4*f**3/3 + 29*f**2 - 40*f - 31. Let j(z) = -z**2 + z. Let i(w) = -2*j(w) + r(w). Factor i(p).
2*(p + 10)*(3*p - 2)
Let a(s) be the second derivative of 3*s + 4*s**3 + 0 - 6*s**2 - 3/4*s**4. Suppose a(h) = 0. Calculate h.
2/3, 2
Let c(f) be the first derivative of 8*f**4 - 64/15*f**5 + 2/3*f**2 + 0*f - 4*f**3 + 1. Find v, given that c(v) = 0.
0, 1/4, 1
Let s(w) = w**2 - 1. Let o(t) = -3*t**2 + 26*t + 29. Let b(i) = o(i) + 2*s(i). Factor b(n).
-(n - 27)*(n + 1)
Let c(p) be the third derivative of 6*p**2 + 0*p**4 + 0 - 1/120*p**6 + 0*p + 0*p**3 + 0*p**5 - 3/28*p**8 - 2/35*p**7. Suppose c(w) = 0. Calculate w.
-1/6, 0
Let w(h) be the first derivative of 2*h**4 - 4*h**3 + 9*h**2/4 - h/2 + 45. Find p such that w(p) = 0.
1/4, 1
Let 139 + 135 - 2*v**3 + 16*v - 2*v**2 - 250 = 0. What is v?
-2, 3
Let x = 114523/7777 - -1/707. Let b = x + -1035/77. Suppose 3/7*m**3 + 3/7 + b*m**2 + 9/7*m = 0. What is m?
-1
Factor -704*u - 12434*u**3 + 31234*u**4 + 16 - 6845*u**4 + 10440*u**2 - 41390*u**3.
(u - 2)*(29*u - 2)**3
Let c(u) be the first derivative of -u**6/30 - 3*u**5/20 + u**4/12 + u**3/2 - 12*u + 3. Let h(m) be the first derivative of c(m). Factor h(z).
-z*(z - 1)*(z + 1)*(z + 3)
Let k(m) = 4*m - 21. Let t be k(6). Suppose -5*j**2 + 5*j**3 - 2*j**5 + t*j**5 + 3*j**2 + 0*j**3 - 4*j**4 = 0. Calculate j.
0, 1, 2
Let n(q) be the third derivative of q**8/672 + 11*q**7/1050 + 3*q**6/200 - 2*q**5/75 - 23*q**4/240 - q**3/10 + 13*q**2 + 4*q. Let n(h) = 0. Calculate h.
-3, -1, -2/5, 1
Let p(x) = -18*x**5 + 3*x**4 + 3*x**3 - 3*x**2 - 15*x + 15. Let v(u) = -u**5 + u**4 - u**2 - u + 1. Let y(z) = p(z) - 15*v(z). Determine g so that y(g) = 0.
-4, -1, 0, 1
Let z(g) be the third derivative of g**8/1680 - g**7/315 + g**6/180 + g**4/24 + 9*g**2. Let n(s) be the second derivative of z(s). Determine b so that n(b) = 0.
0, 1
Let a = 36 + -86. Let f = 74 + a. Solve f*l + 20*l**2 + 35*l**3 + 4*l**3 + 10*l**4 + 29*l**2 + 2 + 2 = 0.
-2, -1, -1/2, -2/5
Let i = -1 + 5. Suppose i*o - 16 = -4*z, 4*z + 0*z + 8 = 2*o. Find f, given that 6*f**4 - o*f**2 - 45*f**3 + 2*f**5 - 2*f**4 + 45*f**3 - 2*f = 0.
-1, 0, 1
Let t = 74 + -71. Determine i, given that 22*i**3 - 48*i**3 + 9*i**2 + 23*i**t - 12 = 0.
-1, 2
Let p = -10021/2 + 5011. Factor -n - p*n**3 + 3/2*n**2 + 0.
-n*(n - 2)*(n - 1)/2
Let c(b) = -2*b**3 - b**2 - 4*b - 2. Let a(k) be the first derivative of k**4/4 + k**3/3 + k**2/2 - 7. Let y(v) = 3*a(v) + c(v). Find l such that y(l) = 0.
-2, -1, 1
Suppose -118 = -4*x + 58. What is p in -6*p**3 + p**2 + x*p + 2*p**2 + 3*p**4 - 44*p = 0?
0, 1
Factor -99*k**2 - 29*k + 39*k**3 - 11*k**3 + 649*k + 136 + 926*k**2 - 315*k**2.
4*(k + 1)*(k + 17)*(7*k + 2)
Let f = 12359683/4495060 - 5547/2836. Let o = f - -2/317. Factor 0*r + 0*r**2 + 0 + 2/5*r**4 - o*r**3.
2*r**3*(r - 2)/5
Suppose -30 = -2*r + 2*j + 3*j, -4*j - 92 = -5*r. Suppose 3*o - 2*n - r = 0, -3*n - 21 = 2*o - 5*o. Factor v - v**3 + 5*v**4 - v**2 - o*v**4 + 0*v**2 + 2*v**2.
-v*(v - 1)*(v + 1)**2
Let u = -1/18201 - -109211/91005. Factor 0 - u*v + 3/5*v**4 + 6/5*v**3 - 3/5*v**2.
3*v*(v - 1)*(v + 1)*(v + 2)/5
Let -16*t + 2*t**2 - 3 - t - 13 + 31*t = 0. Calculate t.
-8, 1
Let o(b) = -2*b**2 + 9*b - 15. Let c(h) = h + 1. Let p(x) = -6*c(x) - o(x). Let k be p(7). Suppose -1/4*y**k + 0 + 0*y = 0. Calculate y.
0
Let l(s) = s**4 - 7*s**3 - 23*s**2 - 13*s - 2. Let a(q) = q**3 + 2*q**2 - q - 1. Let c(x) = -12*a(x) - 3*l(x). Factor c(m).
-3*(m - 6)*(m + 1)**3
Let v be (-1 - -5 - 6) + 4. Factor -6*d**4 + 3*d**5 + d + 0*d**v + 6*d**2 - 4*d.
3*d*(d - 1)**3*(d + 1)
Let c = 3509 - 3506. Factor 0 - 2/15*j**c + 2/5*j**2 - 4/15*j.
-2*j*(j - 2)*(j - 1)/15
Let k(u) be the first derivative of -2/15*u**5 - 1/6*u**4 + 2/3*u**3 - 4/3*u - 13 + 1/3*u**2. Suppose k(o) = 0. Calculate o.
-2, -1, 1
What is i in -2*i**4 + 291*i**3 + 60*i**2 - 286*i**3 + 80 - 140*i - 3*i**4 = 0?
-4, 1, 2
Let j(r) be the third derivative of r**8/896 + 3*r**7/140 + 19*r**6/320 - 3*r**5/40 - 5*r**4/16 - 2*r**2 - 232*r. Determine q, given that j(q) = 0.
-10, -2, -1, 0, 1
Let h(y) be the third derivative of y**8/168 + 8*y**7/105 - y**6/60 - 4*y**5/15 + 2*y**2 - 31*y. Solve h(j) = 0 for j.
-8, -1, 0