x) = 0?
-22/9, -1/3, 0
Let k(n) = 8*n + 29. Let l be k(-3). Factor 3893*m**l + 0*m**4 - 21*m**3 - 9*m**2 - 15*m**4 - 3896*m**5.
-3*m**2*(m + 1)**2*(m + 3)
Suppose -3584*z - z**3 + 162*z**2 + 2948*z + 126 - 20 + 404 + 122 = 0. What is z?
2, 158
Suppose 0 = 37*y - 42*y. Suppose 2*t**4 + 44*t**2 - 60*t**2 + y*t**4 + 32 = 0. What is t?
-2, 2
Let h(j) = -j**2 + 49*j + 2943. Let r be h(84). Let s(f) be the third derivative of 18*f**2 + 0 + 1/20*f**5 + f - 1/2*f**r - 1/8*f**4 + 1/40*f**6. Factor s(v).
3*(v - 1)*(v + 1)**2
Solve -1/9*k + 868/9 - 868/9*k**2 + 1/9*k**3 = 0.
-1, 1, 868
Suppose 2*c - 6*c = 2*g + 2, -2*c - 2*g - 6 = 0. Factor 4*y - 3*y**2 + c*y**2 - 13*y - y**2 - 7*y.
-2*y*(y + 8)
Let x = 20081/4 - 5020. Let j(h) be the second derivative of -x*h**4 + 0 - 6*h**3 + 4*h - 54*h**2. Solve j(m) = 0.
-6
Factor -23/6*o**3 + 11/3*o**2 + 0 + 0*o + 1/6*o**4.
o**2*(o - 22)*(o - 1)/6
Factor 0 - 44/9*b + 1/9*b**2.
b*(b - 44)/9
Let z(o) be the first derivative of o**7/168 - 5*o**6/36 - 11*o**5/24 + 179*o**3/3 - 156. Let b(a) be the third derivative of z(a). Factor b(d).
5*d*(d - 11)*(d + 1)
Solve 3*m**2 - 133 - 443*m + 163 - 1010 - 532*m + 2*m**2 = 0.
-1, 196
Let h = -188 - -921. Factor 6 - 3*a**3 + 715*a**2 + 30 - h*a**2 - 15*a.
-3*(a - 1)*(a + 3)*(a + 4)
Let k(g) be the third derivative of -17*g**6/40 - 103*g**5/20 - 159*g**4/8 - 9*g**3/2 + 65*g**2 + 5*g. Solve k(a) = 0.
-3, -1/17
Let q = 796 - 786. Suppose 220*n + q = 225*n. Factor 0*p + 1/2*p**n - p**4 + 0 - 1/2*p**3.
-p**2*(p + 1)*(2*p - 1)/2
Let 3/2*i**2 - 816*i + 1629/2 = 0. Calculate i.
1, 543
Let h(k) be the second derivative of k**5/330 + k**4/44 - 76*k**2 + 59*k. Let s(d) be the first derivative of h(d). Determine p, given that s(p) = 0.
-3, 0
Factor 3/2*h**2 + 0 + 561/2*h.
3*h*(h + 187)/2
Let c(d) be the third derivative of 23*d**6/30 - 418*d**5/15 - 365*d**4/6 + 152*d**3/3 - 627*d**2 - d - 4. Factor c(m).
4*(m - 19)*(m + 1)*(23*m - 4)
Let t(s) be the third derivative of s**5/20 + 203*s**4/8 + 398*s**3 + 7*s**2 + 9*s - 23. Solve t(f) = 0 for f.
-199, -4
Let s(q) be the third derivative of -5*q**8/28 - 13*q**7/42 + 3*q**6 + 7*q**5/12 - 5*q**4/4 + 47*q**2 - 2. Determine r so that s(r) = 0.
-3, -1/3, 0, 1/4, 2
Let 28*n**4 + 5*n**2 - 27*n**4 - 11*n**3 + 0*n + 47*n + 9 + 21 = 0. What is n?
-1, 3, 10
Let s(j) = j**3 + 29*j**2 - 120*j - 1796. Let i be s(-31). Factor 26/3 + 2/3*z**i + 28/3*z.
2*(z + 1)*(z + 13)/3
Let j(u) be the first derivative of 7*u**6/30 + 248*u**5/25 + 1183*u**4/10 + 2992*u**3/15 + 867*u**2/10 - 8582. Solve j(g) = 0.
-17, -1, -3/7, 0
Let y be 0 + ((-23069)/(-26208) - (-72)/(-168)). Let w = y + -3/416. Factor 0*k**4 + w*k**2 + 2/9*k**5 - 4/9 + 2/3*k - 8/9*k**3.
2*(k - 1)**3*(k + 1)*(k + 2)/9
Let c(a) = -12*a**2 + 20*a - 312. Let s(g) = -14*g**2 + 19*g - 312. Let q(d) = 9*c(d) - 8*s(d). Factor q(l).
4*(l - 6)*(l + 13)
Let g(h) be the first derivative of -5*h - 25/2*h**2 + 5/2*h**6 - 10*h**3 + 7*h**5 + 38 + 5/2*h**4. Determine j, given that g(j) = 0.
-1, -1/3, 1
Let f(g) = -g. Suppose -28 = -4*l + 4*q, 5*l - 5*q = 2*l + 11. Let w(c) = -c**2 - 3. Let u(z) = l*f(z) - 3*w(z). Let u(s) = 0. Calculate s.
1, 3
Suppose f - 2332 = 5*m - 756, 3*m + 4*f = -964. Let h = m - -635/2. Factor -9/2*x + h*x**2 + 3.
3*(x - 2)*(x - 1)/2
Let d be 6*1/2 + -1. Suppose 4*m - 6 = d*v, -v = 4*v - m - 12. What is y in 40*y**3 + 5*y**4 + 31*y**v - 76*y**3 = 0?
0, 1
Let r(t) be the third derivative of t**5/60 + 23*t**4/24 + 11*t**3/3 + 3*t**2 + 44. Determine s so that r(s) = 0.
-22, -1
Let j(l) be the first derivative of -35*l**3/3 - 95*l**2/2 - 1774. Solve j(k) = 0.
-19/7, 0
What is l in -2/7*l**2 - 1870/7 + 1872/7*l = 0?
1, 935
Let f be 10/(-15)*48/112*(-15)/10. Factor -f*k**3 - 3*k + 15/7*k**2 + 9/7.
-3*(k - 3)*(k - 1)**2/7
Factor -499*h**3 + 742*h**2 - h**5 + 111*h**3 - 81*h**4 - 304*h - 1354*h**2.
-h*(h + 1)*(h + 2)**2*(h + 76)
Let h = -155 + 243. Suppose -4*x - 4*k = -h, -2*x + 4*k + 32 = 2*k. Factor 43 - x - 8*o**2 - 4*o - 4*o**3 - 24.
-4*o*(o + 1)**2
Solve 4/9*s**5 + 8/9 - 26/9*s**2 - 34/9*s**3 - 2/3*s**4 + 2/3*s = 0.
-1, 1/2, 4
Suppose 2*o + 112 = 2*p, 59 = 5*p - 4*p + 2*o. Factor 68*q + p*q + 212 + 18 - 615*q**2 - 609*q**2 + 1229*q**2.
5*(q + 2)*(q + 23)
Let x = -76712 - -690412/9. Factor 0 + x*a**2 + 52/9*a.
4*a*(a + 13)/9
Factor -4/5*q**2 + 0 - 296/5*q.
-4*q*(q + 74)/5
Let l(y) be the second derivative of y**5/4 + 505*y**4/12 + 10175*y**3/6 - 136125*y**2/2 + 21*y + 167. What is c in l(c) = 0?
-55, 9
Solve 0 + 0*y + 45/4*y**2 - 3/4*y**3 = 0 for y.
0, 15
Let i(q) = q**5 + q**4 + q - 2. Let c be (-44)/(-110)*(-10)/(-2). Let j(o) = 6*o**5 + 3*o**4 + 16*o**2 + 23*o - 14. Let d(x) = c*j(x) - 14*i(x). Factor d(v).
-2*v*(v - 2)*(v + 2)**3
Let q(c) = -2*c**3 - c**2 - 1. Let u(n) = -10*n**3 + 68*n**2 - 2*n - 80. Suppose 3*a - 4*s = 11, -4*s = -5*a + 26 - 13. Let l(v) = a*u(v) - 6*q(v). Factor l(p).
2*(p - 1)*(p + 1)*(p + 37)
Let g(y) be the third derivative of 0*y + 1/75*y**5 + 18/5*y**3 - 164*y**2 + 0 + 14/15*y**4. Factor g(h).
4*(h + 1)*(h + 27)/5
Factor 12150248*c**2 + 145*c**3 - 12149768*c**2 + 4*c**4 + 27*c**3.
4*c**2*(c + 3)*(c + 40)
Let u(t) = -16*t**2 + 7802*t + 7597196. Let h(f) = 45*f**2 - 23405*f - 22791589. Let m(x) = -12*h(x) - 34*u(x). Factor m(k).
4*(k + 1949)**2
Suppose -489/4*j**2 - 43/2*j**3 - 180*j - 1/4*j**4 + 0 = 0. What is j?
-80, -3, 0
Let l(v) be the second derivative of v**6/15 + 6*v**5/5 + 5*v**4/2 - 56*v**3/3 - 60*v**2 + 144*v. Find g such that l(g) = 0.
-10, -3, -1, 2
Let z(i) = -2*i**3 - 7*i**2 + 4*i + 5. Let a be z(-4). Suppose -185*x**2 - 104*x + 192 - 3*x**a - 112 - x**5 - 133*x**3 - 40*x**4 - 100 = 0. What is x?
-5, -2, -1/2
Let g(h) be the first derivative of h**4/27 + 4*h**3/27 + 55*h - 45. Let t(a) be the first derivative of g(a). Factor t(u).
4*u*(u + 2)/9
Let q(y) be the second derivative of -5*y**7/42 + y**6/6 + 2*y**5 - 5*y**4 - 303*y + 2. Let q(z) = 0. Calculate z.
-3, 0, 2
Suppose -3*a = 182 - 287. Suppose 11*o - a = 9. Factor -3/2*p**o - 9/2*p**2 + 9/2*p**3 + 3/2*p + 0.
-3*p*(p - 1)**3/2
Let j = -2 + -14. Let x = -1 - j. Find l, given that -x*l + 35*l**2 - 17*l**3 - 19*l**3 + 5*l**4 + 11*l**3 = 0.
0, 1, 3
Suppose q + 2 = 876*v - 873*v, -v = 5*q - 38. Let 16/3*m**v + 4/3*m**4 + 0 + 8/3*m + 20/3*m**2 = 0. What is m?
-2, -1, 0
Let k(b) = 2*b**2 + 6*b + 3. Let w be k(-4). Suppose 0 = -w*d + 10*d + 2. Factor -59 - d*u**2 + 59 - 10*u.
-2*u*(u + 5)
Let b be 8/(-7)*413/(-236). Factor -29*t**3 + 0 + 55/3*t**b + 3*t**4 - 3*t.
t*(t - 9)*(3*t - 1)**2/3
Let b be 0 + 0 + (68 - 14)/18. Let q(z) be the first derivative of 1/36*z**4 + 5/27*z**b - z + 1/6*z**2 + 16. Factor q(c).
(c - 1)*(c + 3)**2/9
Determine u so that 160/17*u**2 + 0 - 158/17*u - 2/17*u**3 = 0.
0, 1, 79
Factor 6*d**2 + 36*d**5 - 20*d**3 + 8*d**3 + 15*d - 12*d**4 + 6 + 50*d**5 - 89*d**5.
-3*(d - 1)*(d + 1)**3*(d + 2)
Let s(f) = -10*f**5 - 13*f**4 + 92*f**3 + 63*f**2 + f. Let m(n) = 5*n**5 + 7*n**4 - 47*n**3 - 31*n**2. Let t(v) = 11*m(v) + 6*s(v). Suppose t(x) = 0. What is x?
-2, -1, -1/5, 0, 3
Let q(w) be the first derivative of w**4/14 + 34*w**3/7 + 95*w**2/7 - 42*w + 175. Factor q(u).
2*(u - 1)*(u + 3)*(u + 49)/7
Let s(m) be the first derivative of m**5/390 + 43*m**4/156 - 44*m**3/39 - m**2 - 187*m + 68. Let p(j) be the second derivative of s(j). Solve p(l) = 0.
-44, 1
Let b = 46 + -43. Let w(p) = 7*p**2 - 2*p + 1. Let u(g) = 4*g**2 - g + 1. Let f(l) = b*w(l) - 5*u(l). What is m in f(m) = 0?
-1, 2
Suppose -162 = -9*s + 324. Suppose -45*d**2 + 240*d - 275 + s - 99 = 0. What is d?
8/3
Suppose 4*s + h - 11 = 0, -h - 4 = -2*s + 3. Let o be (-33)/22*(-4)/s. Determine m, given that 13*m - 20 - 24*m + 17*m + 2*m**o = 0.
-5, 2
Suppose 0 - 3/5*h**3 + 222*h + 81/5*h**2 = 0. Calculate h.
-10, 0, 37
Let p be 550335/66500 - 23/(-2300). Factor -8/7*r - 58/7*r**2 + 8/7*r**3 + p.
2*(r - 1)*(r + 1)*(4*r - 29)/7
Let f(h) = -3*h - 31. Let m be f(-17). Let 31*p - m - 225*p**2 + 40*p**3 - 146*p + 95*p**2 = 0. What is p?
-1/2, -1/4, 4
Let b(g) be the third derivative of g + 0 + 0*g**3 + 2/15*g**5 + 4/21*g**4 - 3/70*g**6 + 8*g**2. Let b(o) = 0. Calculate o.
-4/9, 0, 2
Let g(m) be the third derivative of m**8/112 + 11*m**7/70 + 3*m**6/5 - m**2 + 180*m. Find x such that g(x) = 0.
-8, -3, 0
Let r be 4224/144*6/20 - (4 + 0). Find c suc