2 + 2 - 17*k**2 + 9*k**2 + j*k**3.
4*k*(k - 1)**2
Let l = 3 + -1. Let q = -126 + 194. Factor 59*z**l - 3*z**3 - 5*z + 0*z**3 - q*z**2 - z.
-3*z*(z + 1)*(z + 2)
Factor 0 - 5/4*k + 1/4*k**2.
k*(k - 5)/4
Factor -1458 - 32/3*d**3 - 2/9*d**4 - 92*d**2 + 864*d.
-2*(d - 3)**2*(d + 27)**2/9
Let k = -23 - 32. Let r = 57 + k. Suppose -5/3*h - 1/3*h**3 + 4/3*h**r + 2/3 = 0. What is h?
1, 2
Let g(f) = -7*f**2 + 2*f + 7. Let r(k) = 12*k + 2*k - 3*k + 36 - 36*k**2. Let i(s) = -11*g(s) + 2*r(s). Factor i(p).
5*(p - 1)*(p + 1)
Let d(p) = 3*p**2 + 54*p + 231. Let i be d(-11). What is k in -10*k**4 + 32/3*k**3 + i + 8/3*k**5 - 2*k**2 - 4/3*k = 0?
-1/4, 0, 1, 2
Suppose -8*v + 0*v = -192. Determine n so that v*n**3 - n**2 - 9*n**3 - 15*n + 12 - 8*n**2 - 3*n**4 = 0.
-1, 1, 4
Find n, given that -252 - 167*n**2 + 45*n**2 - 177*n + 32*n**2 + 3*n**3 + 91*n**2 + 77*n**2 = 0.
-28, -1, 3
Let g = 23 - 21. Suppose -a + g*j + 10 = 2, -4*a = 2*j - 12. Solve -18*h**4 + h**3 + a*h + 14*h**4 - 12*h**2 + 11*h**3 = 0 for h.
0, 1
Suppose -3*m = 4*v - 5, 5*m + 6 + 9 = -2*v. Suppose 2*p + 3 = -2*q + 7, 0 = -v*p + q + 22. Factor p + 6*i**2 + 5*i**2 - i**2 + 12*i - 2.
2*(i + 1)*(5*i + 1)
Let x(p) be the second derivative of -3*p**5/140 + 5*p**4/14 - 17*p**3/14 + 12*p**2/7 - 93*p. Factor x(u).
-3*(u - 8)*(u - 1)**2/7
Let g(h) be the first derivative of 2*h**5/45 + 2*h**4/3 - 28*h**3/27 - 4*h**2/3 + 26*h/9 + 344. Suppose g(a) = 0. Calculate a.
-13, -1, 1
Let h be 1*2/(-8) - 175/(-560). Let m(b) be the first derivative of -1/6*b**3 + 0*b + 1/8*b**2 + 8 + h*b**4. Solve m(t) = 0 for t.
0, 1
Let k = 3 + 0. What is r in -5*r**2 + r - 9*r - r**4 - 4*r**k + 0*r**2 + 6*r = 0?
-2, -1, 0
Let o(j) be the third derivative of -j**7/420 + j**6/144 + 23*j**5/180 + 7*j**4/36 - 10*j**3/9 - 155*j**2. Solve o(u) = 0.
-2, 2/3, 5
Solve 42/5*x**3 + 138/5*x**2 + 142/5*x + 48/5 - 2/5*x**4 = 0 for x.
-1, 24
Let h = 1 + 6. Let f be 2/(-6)*(-105)/h. What is v in 4*v**4 - 261*v - f*v**4 - 16*v**3 - 67*v - 96*v**2 - 256 + 72*v = 0?
-4
Let j = -10368 + 10370. Factor 4/9*d**j - 56/9*d + 196/9.
4*(d - 7)**2/9
Let w be (6 - -1)/(-2 - -3). Determine a, given that 20*a - 3*a**2 + w*a**2 + 0*a**2 + 0*a**2 = 0.
-5, 0
Let 3*w**5 - 38*w**4 + 11*w**4 + 30*w**3 + 12*w**3 = 0. What is w?
0, 2, 7
Solve -1/4*s**2 + 2*s - 15/4 = 0.
3, 5
Let b(f) be the first derivative of -f**4/6 + 14*f**3/9 + f**2/3 - 14*f/3 - 263. Factor b(h).
-2*(h - 7)*(h - 1)*(h + 1)/3
Let t(o) be the first derivative of 28 + 4/45*o**5 + 0*o**2 + 0*o**3 + 0*o - 1/18*o**4. Factor t(j).
2*j**3*(2*j - 1)/9
Let r(n) be the second derivative of n**5/5 + 5*n**4/2 + 22*n**3/3 - 15*n**2 - 2*n + 188. Factor r(y).
2*(y + 3)*(y + 5)*(2*y - 1)
Let q(w) be the second derivative of -14*w - 5/2*w**2 + 5/12*w**4 + 0 + 0*w**3. Solve q(t) = 0.
-1, 1
Let u(f) be the third derivative of -f**8/1512 + f**7/63 - 5*f**6/36 + 29*f**5/54 - 10*f**4/9 + 4*f**3/3 - 176*f**2. Factor u(z).
-2*(z - 6)**2*(z - 1)**3/9
Let l(w) be the second derivative of w**5/20 + w**4/3 - 5*w**3/6 + 2*w + 8. Factor l(q).
q*(q - 1)*(q + 5)
Let s(t) be the third derivative of -20*t**2 + 1/660*t**6 - 1/110*t**5 + 0 + 0*t - 1/33*t**4 + 0*t**3. What is a in s(a) = 0?
-1, 0, 4
Solve -9*n**4 + 43*n - 114*n**2 + 84*n**3 + 390*n**2 + 101*n = 0 for n.
-2, -2/3, 0, 12
Let o be 36*(-3 + -1 - (-10)/20). Let p = o - -253/2. Factor 0*a + p*a**3 + 0 - a**2.
a**2*(a - 2)/2
Suppose 2*m + 1131 = 15*m. Let j = m + -85. Solve -3*n**3 + 6*n + 5/2*n**2 + j = 0.
-2/3, -1/2, 2
Determine b, given that 12*b**4 + 36*b - 29*b**3 - 108*b**2 - 22*b**3 - 2*b**3 + 16*b**5 - 95*b**3 = 0.
-3, -1, 0, 1/4, 3
Let v(d) be the second derivative of -31 - 5/3*d**4 + 3/4*d**5 + d - 5/2*d**3 + 10*d**2. Factor v(g).
5*(g - 1)*(g + 1)*(3*g - 4)
Let f(b) = -5*b + 1. Let k be f(-1). Suppose 8*u - 10 - k = 0. Let -y**u - 1/3 - y - 1/3*y**3 = 0. What is y?
-1
Let t(h) = -h**3 - 3*h**2 + h - 2. Let d be t(-4). Let -20*a + a**2 - d*a**2 + 0 - 4 = 0. Calculate a.
-2, -2/9
Let r(f) = 42*f + 677. Let d be r(-16). What is w in 0*w + 0 - 16/5*w**4 - 11/5*w**3 - 2/5*w**2 - 7/5*w**d = 0?
-1, -2/7, 0
Determine n, given that 60*n**3 + 3/2*n**4 - 3/2*n**2 + 0 - 60*n = 0.
-40, -1, 0, 1
Suppose 55 = 10*h + 15. Let p(i) be the first derivative of 16/3*i**2 - 5 + 4/3*i + 77/9*i**3 + 49/12*i**h. Factor p(n).
(n + 1)*(7*n + 2)**2/3
Let q(s) be the first derivative of 10 + 0*s - 2*s**3 + 1/1080*s**6 + 0*s**4 + 0*s**2 - 1/120*s**5. Let b(u) be the third derivative of q(u). Factor b(d).
d*(d - 3)/3
Let q(j) be the first derivative of j**9/5292 - j**8/490 + 3*j**7/490 + 46*j**3/3 - 11. Let r(y) be the third derivative of q(y). Factor r(n).
4*n**3*(n - 3)**2/7
Suppose 3*f + 6 = 3*b - 0, 3*f - 8 = -4*b. Find x, given that -18*x**2 - 50 + 8*x**2 + 14*x - 94*x - 22*x**b = 0.
-5/4
Let q be (21/(-90))/((-21)/252). Find r such that 9/5*r + 1/5*r**2 + q = 0.
-7, -2
Let z(p) be the first derivative of p**6 - 76*p**5/15 + 22*p**4/3 - 16*p**3/9 + 345. Let z(m) = 0. What is m?
0, 2/9, 2
Let r(g) be the second derivative of -3/8*g**2 - 3/8*g**4 - 4*g + 3/20*g**5 + 1/2*g**3 + 0 - 1/40*g**6. Factor r(q).
-3*(q - 1)**4/4
Suppose -145 + 1 = 2*s. Let d be (1/(-4))/(6/s). What is h in 3*h**d + h - 5*h**3 + h - 9*h**2 + 7*h**4 + 2*h**2 = 0?
-1, 0, 2/7, 1
Let f(p) be the third derivative of 0*p - 5/24*p**4 - 1/20*p**5 + 1/210*p**7 + 0 - 1/3*p**3 + 27*p**2 + 1/120*p**6. Let f(m) = 0. Calculate m.
-1, 2
Suppose 6 = -2*r, -4*z - 4*r + r + 3 = 0. Suppose t**2 + z*t + t**3 - 2*t - 2*t**3 + 0*t**2 - 1 = 0. Calculate t.
-1, 1
Let u(j) be the third derivative of -1/36*j**4 + 0 + 0*j + 1/270*j**5 + 11*j**2 + 0*j**3. Solve u(b) = 0 for b.
0, 3
Suppose -5*s + 5*l - 30 = 0, -2*s + 18*l - 28 = 14*l. Let 12 - 4*d + 1/3*d**s = 0. What is d?
6
Factor -2/7*b**3 - 30/7*b + 18/7 + 2*b**2.
-2*(b - 3)**2*(b - 1)/7
Suppose -4*v + 58 = 62, k = 4*v + 4. Factor -2/7*b**2 + k + 0*b.
-2*b**2/7
Let v(o) be the third derivative of -11*o**2 - 1/6*o**4 + 1/20*o**5 + 0 + 0*o - 2/3*o**3. Determine f, given that v(f) = 0.
-2/3, 2
Let z(s) be the second derivative of -8/15*s**4 + 7/50*s**5 + 0 - 2/5*s**2 + 4*s + 11/15*s**3. Factor z(q).
2*(q - 1)**2*(7*q - 2)/5
Let j(m) = 28*m**2 + 9 + 770*m + 3*m**3 - 4 - 740*m. Let i(k) = 15*k**3 + 141*k**2 + 150*k + 24. Let q(u) = 5*i(u) - 24*j(u). Solve q(r) = 0.
-10, -1, 0
Let j(k) = -11*k + 22. Let f be j(2). Let n(r) be the third derivative of f*r**3 - 1/36*r**4 + 0*r - 4*r**2 - 1/45*r**5 - 1/180*r**6 + 0. Factor n(q).
-2*q*(q + 1)**2/3
Suppose -4*g = -g + 5*l + 1, -4*l = 5*g - 7. Suppose 3*u - 5 + 2 = 0. Factor u - 4*v**2 + 5*v**2 - g*v + 5*v.
(v + 1)**2
Let f(s) be the second derivative of s**5/200 + s**4/15 + s**3/3 + 4*s**2/5 + 206*s. Determine o so that f(o) = 0.
-4, -2
Factor 4*l**5 + 0*l**5 + 6*l - 4*l**3 + 0*l**5 - 6*l.
4*l**3*(l - 1)*(l + 1)
Let v be 0/((-6 - 0) + 8 + 6). Find y, given that 0*y - 1/5*y**2 + v + 1/5*y**3 = 0.
0, 1
Let u(f) be the second derivative of 1/300*f**5 + 0*f**4 - 1/900*f**6 + 2/3*f**3 + f + 0 + 0*f**2. Let i(x) be the second derivative of u(x). Factor i(b).
-2*b*(b - 1)/5
Let g(u) be the second derivative of 0 - 5/6*u**3 + 7*u + 0*u**2 - 1/6*u**6 - 3/4*u**5 - 5/4*u**4. Factor g(o).
-5*o*(o + 1)**3
Let o be (-18)/(-42) + (-17)/7. Let g be 18/8 + o/8. Let 3*h + 0*h - 5*h + g*h**2 = 0. Calculate h.
0, 1
Let o = -8 + 10. Suppose 5*f = -3*m + 23, 5*m = 2*f - f + 1. Let -5*i**4 + i**2 - 5*i**3 + 4*i + i**3 + 3*i**o + i**f = 0. What is i?
-1, 0, 1
Let b(m) = -m**2 - m + 2. Let t(o) = 9*o**2 - 3*o - 6. Let f(w) = -6*b(w) - t(w). Determine z so that f(z) = 0.
1, 2
Let j = -24808 - -24812. Factor -15/2*x**2 - 9/2*x**3 + 6 + 9/2*x + 3/2*x**j.
3*(x - 4)*(x - 1)*(x + 1)**2/2
Suppose -2*g + 10 = a + 2, -5*a - 44 = -4*g. Let m be g + 46/(-22) + -3. Factor m*i**3 + 2/11*i**2 + 0 + 8/11*i**4 + 0*i.
2*i**2*(i + 1)*(4*i + 1)/11
Suppose -4*h - 2*c = 38, -2*h + 2*c = -h + 2. Let m = h - -20. Solve -37*j**5 + 8*j**2 - m*j**3 - 42*j**5 + 87*j**5 - 12*j**4 = 0 for j.
-1, 0, 1/2, 2
Let 0 + 39/2*x**2 + 9/2*x**3 + 6*x = 0. What is x?
-4, -1/3, 0
Suppose -9 = -2*c + 4*c - 3*s, 2 = 4*c - 2*s. Factor c*w**2 + 13/9*w + 23/9*w**3 + 7/9*w**4 + 2/9.
(w + 1)**3*(7*w + 2)/9
Let o(u) = 10*u**4 - 25*u**3 - 10*u**2 + 15*u. Let k(z) = -5*z**4 + 13*z**3 + 5*z**2 - 7*z. Let g(h) = -5*k(h) - 3*o(