1)**2*(z + 1)**2
Let m be (-15)/(-20)*6*8/12. Suppose -3 = -3*z + 2*z. Let 6*s**m - 13 + 7 - z*s**5 - 3*s**4 + 6 = 0. Calculate s.
-2, 0, 1
Suppose -4*t = -2*i + 530, 6*i - 4*i = -4*t - 542. Let h be t/(-24) + 1/(-4). Solve -h*o - 2*o**2 - 8/3 = 0.
-2, -2/3
Let t(c) be the first derivative of c**5/3 - 5*c**4/4 - 10*c**3/3 + 20*c**2/3 - 124. Suppose t(h) = 0. What is h?
-2, 0, 1, 4
Let g(i) be the first derivative of 0*i - 1/3*i**3 - 3 + 1/3*i**2 + 1/12*i**4. Factor g(v).
v*(v - 2)*(v - 1)/3
Let k(w) be the first derivative of w**3/3 + w**2/2 - w - 11. Let j(d) = 2*d**2 + d - 3. Let b(x) = j(x) - 3*k(x). Factor b(r).
-r*(r + 2)
Let h be 0 + 11 - (2 - -3)/1. Suppose 0 = -3*o - 2*l + 25, -h*o = -o - 5*l. Factor 1 + 3*x**4 - 1/2*x**o - 9/2*x + 8*x**2 - 7*x**3.
-(x - 2)*(x - 1)**4/2
Let s = -55346/15 + 3690. Let 2/15*v**4 + 0 + 0*v**2 + 0*v + s*v**3 = 0. What is v?
-2, 0
Let r = 4/1335 + 1307/9345. Solve -r*t**2 + 4/7*t - 4/7 = 0.
2
Let n(b) be the third derivative of -b**7/560 - 13*b**6/960 - b**5/60 + b**4/16 + b**2 - 47. Factor n(t).
-t*(t + 2)*(t + 3)*(3*t - 2)/8
Let c(o) be the third derivative of o**5/90 + 13*o**4/36 - 14*o**3/9 - 8*o**2 + 2*o. Factor c(w).
2*(w - 1)*(w + 14)/3
Let g(m) = -6*m**2 + 7*m + 6. Let l(s) = -3*s**2 + 3*s + 3. Let n(x) = -x**2 + x + 1. Let o(t) = -6*l(t) + 17*n(t). Let w(y) = -5*g(y) - 35*o(y). Factor w(k).
-5*(k - 1)*(k + 1)
Factor -6*i + 2/3*i**4 - 10*i**2 + 36 + 2/3*i**3.
2*(i - 3)*(i - 2)*(i + 3)**2/3
Find k, given that -k**3 - 284*k**2 + 562*k**2 - 308*k**2 + 66*k - 4 - k**3 - 30*k**3 = 0.
-2, 1/16, 1
Let k = -2 - -4. Let n = -7/260 + 281/780. Factor 1/3*w**k + n*w + 0.
w*(w + 1)/3
Determine k, given that -8/3*k**2 - 26*k + 2/3*k**3 - 36 = 0.
-3, -2, 9
Let k(r) = -41*r**3 - 3*r - 3 - 2 + 4*r**4 + r**2 + 54*r**3. Let j(o) = -12*o**4 - 40*o**3 - 4*o**2 + 8*o + 16. Let i(v) = 5*j(v) + 16*k(v). Factor i(f).
4*f*(f - 1)*(f + 1)*(f + 2)
Suppose 2*p - 7 = 4*z + 37, 4*p - z = 81. Factor -12*j - 4*j**3 + 5*j**2 - j**2 - p*j**2.
-4*j*(j + 1)*(j + 3)
Let j(y) be the second derivative of 0 + 12*y + 1/6*y**4 - y**3 + 2*y**2. Suppose j(w) = 0. Calculate w.
1, 2
Let w be (((-1)/(-3))/(-1))/((-108)/972). Factor -12/5*x**w + 2/5*x**4 + 8/5 + 26/5*x**2 - 24/5*x.
2*(x - 2)**2*(x - 1)**2/5
Let n = 216/17 - 12943/1020. Let s(p) be the third derivative of 0 - 1/105*p**7 - n*p**5 + 0*p - 7/240*p**6 + 0*p**3 + 1/48*p**4 - 2*p**2. Factor s(a).
-a*(a + 1)**2*(4*a - 1)/2
Let c(g) be the first derivative of -g**7/5040 + g**6/270 - g**5/36 + g**4/9 - 7*g**3 + 1. Let t(q) be the third derivative of c(q). Factor t(m).
-(m - 4)*(m - 2)**2/6
Let i be 55/10 + (1 - 7/2). What is n in 148/5*n**2 - 28/5*n**i - 36/5*n**5 - 48/5 + 32/5*n - 132/5*n**4 = 0?
-3, -1, 2/3
Let p(j) be the second derivative of -j**8/73920 + j**7/13860 + j**6/7920 - j**5/660 - 7*j**4/12 - 6*j. Let t(h) be the third derivative of p(h). Factor t(a).
-(a - 2)*(a - 1)*(a + 1)/11
Determine f, given that 2 + 1/3*f - 1/3*f**2 = 0.
-2, 3
Determine i, given that -9/4*i**2 - 1/2 + 11/4*i = 0.
2/9, 1
Suppose 0 = -3*c - 3*w + 18, -c + w = 3*w - 6. Suppose 2*m = q + c, -2*q - m + 13 = -0*q. Factor 48 - 48 + 10*l + 15*l**2 - 5*l**q.
-5*l*(l - 2)*(l + 1)**2
Let f be -3 + (-680)/(-2) + 1. Let k = f + -1684/5. Suppose 8/5*c - k*c**2 - 2/5 = 0. Calculate c.
1/3, 1
Factor 18/5*n - 81/5 - 1/5*n**2.
-(n - 9)**2/5
Let s(m) be the first derivative of -6 - 9/4*m**3 - 81/8*m**2 - 3/16*m**4 - 81/4*m. Find c such that s(c) = 0.
-3
Suppose 0 = 5*q + 2*k - 25, 4*q + 0*k = 2*k + 20. Suppose q*c = -0*c + 15. Find j, given that 17*j**3 - 8*j**c + 6*j**4 - 7*j**3 - 6*j**2 + 2*j**5 - 4*j = 0.
-2, -1, 0, 1
Let o be 1*(-1 + (-5)/(-4)). Suppose l + 5*y + 5 + 28 = 0, 3*l = 4*y + 34. Determine p so that o - p**l + 3/4*p = 0.
-1/4, 1
Let f(t) = t**3 - 7*t**2 + 7*t - 4. Let k be f(6). Factor 9*c**2 + 10*c + 4 - c**k + 1 - 3*c**2.
5*(c + 1)**2
Suppose 82*y = 89*y. Let t = -79/2 + 715/18. Factor 0*q**2 + y - 2/9*q**3 + t*q.
-2*q*(q - 1)*(q + 1)/9
Let z be ((-92)/(-84) - -7) + -8. Let v(j) be the third derivative of 7*j**2 + 1/84*j**4 + 0 - 1/420*j**6 - 1/105*j**5 + 0*j + z*j**3. Factor v(l).
-2*(l - 1)*(l + 1)*(l + 2)/7
Let s = 29371/28 - 7341/7. Factor -s*x**2 - 4 + 2*x.
-(x - 4)**2/4
Let j(a) be the third derivative of -a**10/181440 + a**8/40320 + 4*a**4/3 - 2*a**2 + 45. Let m(u) be the second derivative of j(u). Factor m(y).
-y**3*(y - 1)*(y + 1)/6
Solve 666/7*f**3 - 165/7*f**4 - 849/7*f**2 + 360/7*f - 12/7 = 0.
2/55, 1, 2
Factor -11*f**2 + 46*f + 30*f**2 - 109*f + 7*f**3 + 56 - 139*f.
(f - 4)*(f + 7)*(7*f - 2)
Let c = 322/489 - -4/489. Solve 2/3*f**2 - c*f**4 - 2/9*f + 0 + 2/9*f**3 = 0.
-1, 0, 1/3, 1
Let f = 2/259 + 5431/1036. Factor 1/4*i**5 + f*i + 3/4*i**4 - 3/2*i**3 - 9/4 - 5/2*i**2.
(i - 1)**3*(i + 3)**2/4
Suppose 86 = -3*a + 4*n, 123 = -a - 3*a - 3*n. Let m be 20/15*(-9)/a. Factor -m*q**3 - 6/5*q**2 + 0*q + 8/5.
-2*(q - 1)*(q + 2)**2/5
Suppose -3*s + 224 = -28. Let m be 560/s*3/4. Determine t, given that -18/7*t**3 - 4/7*t + 10/7*t**4 + 2*t**2 + 0 - 2/7*t**m = 0.
0, 1, 2
Let j = -395/147 - -148/49. Solve 5/3*p**2 + 4/3 + 8/3*p + j*p**3 = 0.
-2, -1
Let g(k) = -k**4 + k**3 - k + 1. Let x(r) = 3*r**5 - 30*r**4 + 33*r**3 + 6*r**2 - 36*r + 24. Let s(l) = -15*g(l) + x(l). Factor s(y).
3*(y - 3)*(y - 1)**3*(y + 1)
Let l(b) be the first derivative of 0*b - 2/57*b**3 + 1/19*b**2 - 1/38*b**4 + 2/95*b**5 + 5. Determine q, given that l(q) = 0.
-1, 0, 1
Let i(k) = 78*k + 2. Let p be i(1). Let x = -876/11 + p. Factor 2/11*n**2 - x + 2/11*n.
2*(n - 1)*(n + 2)/11
Let d(f) be the second derivative of -5*f**4/12 + 5*f**3 - 20*f**2 - f + 14. Factor d(q).
-5*(q - 4)*(q - 2)
Let k(s) = s**3 + s**2 - s. Let l(z) be the second derivative of -z**5/5 - z**4 + 20*z. Let a(u) = 8*k(u) + l(u). Let a(p) = 0. What is p?
-1, 0, 2
Let u(k) = k**2 - k + 2. Let j(f) = -8*f**2 + 58*f + 268. Let r(y) = -j(y) - 10*u(y). Suppose r(p) = 0. Calculate p.
-12
Find c, given that -30/7*c**3 + 27/7 + 1/7*c**4 - 82/7*c + 12*c**2 = 0.
1, 27
Let k(d) = 6*d**4 - 20*d**3 + 54*d**2 - 52*d + 17. Let c(r) = 7*r**4 - 20*r**3 + 54*r**2 - 52*r + 17. Let q(v) = -5*c(v) + 6*k(v). Factor q(i).
(i - 17)*(i - 1)**3
Let j be (1/(-7))/((-12)/336). Determine p, given that 2/5 - 2/5*p - 4/5*p**j + 2*p**3 - 6/5*p**2 = 0.
-1/2, 1
Let a be (-31)/(-2) - (-25 + 39). Factor 1/2*t**2 - t - a.
(t - 3)*(t + 1)/2
Let z(y) be the second derivative of y**7/840 + y**6/120 - 3*y**5/40 + y**4 - 11*y. Let h(a) be the third derivative of z(a). Factor h(x).
3*(x - 1)*(x + 3)
Solve 337*x - 30 + 314*x - 5*x**2 - 626*x = 0 for x.
2, 3
Let s(p) = 2*p**3 + p**2. Let g(h) = 3*h**3 + 2*h**2. Let d(q) = -6*g(q) + 10*s(q). Factor d(o).
2*o**2*(o - 1)
Suppose a - a - 26*a = -104. Solve 0*j + 0*j**3 + 0*j**2 + 2/9*j**a + 0 - 2/9*j**5 = 0 for j.
0, 1
Suppose -14*z + 110 - 26 = 0. Let n(y) be the third derivative of 0 - 1/180*y**5 + 0*y + 0*y**4 + 6*y**2 - 1/72*y**z + 0*y**3. Solve n(h) = 0.
-1/5, 0
Let t(y) be the first derivative of y**4/26 - 4*y**3/13 + 5*y**2/13 + 24*y/13 - 5. Let t(s) = 0. Calculate s.
-1, 3, 4
Factor 0*y**2 - 1/4*y**3 - 1/4*y**4 + 0 + 0*y + 1/2*y**5.
y**3*(y - 1)*(2*y + 1)/4
Suppose -3*r - 5*r = -0*r. Let z(q) be the second derivative of 1/20*q**5 + 1/12*q**4 + 0*q**3 + r*q**2 + 0 + q. Factor z(w).
w**2*(w + 1)
Let j(z) = -z**3 - 3*z**2 + 5*z + 4. Let n be j(-4). Factor n*y**4 + 3*y**4 - 21*y + 13*y + 36*y**2 - 22*y - 18*y**3 + 9.
3*(y - 3)*(y - 1)**3
Let h(z) be the first derivative of z**4/22 + 2*z**3/11 - 8*z/11 + 27. Factor h(y).
2*(y - 1)*(y + 2)**2/11
Suppose u = 5*j + 8 - 20, -2*j - 4*u + 18 = 0. Let b(h) = h + 4. Let g be b(0). Solve 4 + 10*s + 10*s**3 + g*s - 6*s**2 + 2*s**4 + 21*s**2 + j*s**2 = 0.
-2, -1
Let m(r) be the third derivative of r**6/660 - r**5/66 + r**4/33 - 9*r**2 - 4. Suppose m(l) = 0. What is l?
0, 1, 4
Let n(f) be the second derivative of 5*f**4/48 - 95*f**3/12 - 4*f - 16. Factor n(x).
5*x*(x - 38)/4
Suppose -20 + 22 = z. Suppose -4*c + 9 = 1. Factor -5*t + t**z + 0*t**2 - t + 4 + t**c.
2*(t - 2)*(t - 1)
Let v(q) be the first derivative of -3 + 0*q + 2/9*q**3 - 1/18*q**4 + 1/180*q**5 - 5/2*q**2. Let l(z) be the second derivative of v(z). Factor l(k).
(k - 2)**2/3
Let d(j) = -j**3 - 20*j + 22. Let i(m) = 6*m**3 + m**2 + 100*m - 109. Let u(o) = 11*d