-27*o + 144. Let c(j) be the first derivative of -2/5*j - 4/15*j**3 - 7 + 3/5*j**o - 1/15*j**6 + 6/25*j**5 - 1/5*j**4. Let c(v) = 0. What is v?
-1, 1
Let t(x) be the third derivative of -3*x**7/70 - 31*x**6/20 - 151*x**5/20 - 16*x**4 - 18*x**3 - 90*x**2 + x. Let t(p) = 0. Calculate p.
-18, -1, -2/3
Factor 31 - 894*q + 874*q + 4*q**2 - 7.
4*(q - 3)*(q - 2)
Suppose 58*s - 17*s - 31*s = 30. Determine r so that 3/4*r**5 + 4/3*r + 2/3*r**2 + 0 - 23/12*r**s - 1/2*r**4 = 0.
-1, 0, 4/3
Let c(o) be the second derivative of -o**4/32 - o**3/16 + 8*o - 32. Suppose c(m) = 0. What is m?
-1, 0
Let x(r) be the third derivative of 0*r + 0 + 1/315*r**7 - 1/180*r**6 + 0*r**3 + 0*r**4 + 7*r**2 + 0*r**5. Let x(j) = 0. What is j?
0, 1
Suppose 30 = -t + 4*n, t - 118*n = -117*n - 6. Determine y so that -12/5*y**3 - 8/5*y**t - 1/5*y**5 + 0*y - 6/5*y**4 + 0 = 0.
-2, 0
Suppose -4*f = -3*j - 35, 5*f - 4*j = j + 50. Factor -99*w - f*w**2 + 87*w + w**2.
-4*w*(w + 3)
Let h(g) = 2*g - 2. Let p be h(2). Let x be 41 + -1*3/(6/(-2)). Factor u**p - 42 + 2*u + x + 0*u**2.
u*(u + 2)
Let d be (-5 - 87/(-6)) + (-6)/(-12). Let l(x) be the first derivative of 0*x + 1/8*x**2 - d + 1/12*x**3. Determine z, given that l(z) = 0.
-1, 0
Let s(x) be the third derivative of -x**5/24 - 25*x**4/48 + 5*x**3/2 + 102*x**2. Factor s(d).
-5*(d - 1)*(d + 6)/2
Let i(r) = -3*r**5 + 7*r**4 - 4*r**3 + 4*r**2 + 4. Let j(m) = 3*m**5 - 6*m**4 + 3*m**3 - 3*m**2 - 3. Let w = -30 - -33. Let o(y) = w*i(y) + 4*j(y). Factor o(g).
3*g**4*(g - 1)
Let h(m) = -m**3 - 19*m**2 + 22*m - 21. Let f be h(-20). Let y = f - -63. Determine j so that j - 1/2*j**y + 3/2 = 0.
-1, 3
Let f(y) be the first derivative of -y**3/2 - 3*y**2/4 + 31. Factor f(w).
-3*w*(w + 1)/2
Factor 2*t**3 - 9 - t**5 - 97*t + 22*t**2 - 4*t**2 + 96*t - 9*t**4.
-(t - 1)**2*(t + 1)**2*(t + 9)
Let j(v) be the first derivative of v**7/7 + 3*v**6/10 + 3*v**5/20 + 8*v - 8. Let y(w) be the first derivative of j(w). Factor y(q).
3*q**3*(q + 1)*(2*q + 1)
Let c(w) be the third derivative of 4/9*w**3 + 0 + 1/315*w**7 - 1/90*w**6 - 1/30*w**5 + 1/9*w**4 + 6*w**2 + 0*w. Factor c(y).
2*(y - 2)**2*(y + 1)**2/3
Let d(v) be the first derivative of 2/5*v**5 + 0*v**2 + 8/3*v**3 + 35 - 5/2*v**4 + 0*v. Factor d(x).
2*x**2*(x - 4)*(x - 1)
Let q(v) be the first derivative of -1/120*v**6 - 1/40*v**5 + 4/3*v**3 + 0*v**4 + 0*v + 2 + 0*v**2. Let t(r) be the third derivative of q(r). Factor t(k).
-3*k*(k + 1)
Solve 372*l - 1755*l + 284*l + 425*l - l**2 - 24336 + 362*l = 0 for l.
-156
Let 2*v**3 + 35*v**2 - 76*v**2 + 38*v + v**2 = 0. Calculate v.
0, 1, 19
Let q be (-1)/((-16)/68) - 9/(-12). Let w be (20/8)/(q/4). Factor -1/2*c**5 - 3/2*c**4 + 0 - 1/2*c**w - 3/2*c**3 + 0*c.
-c**2*(c + 1)**3/2
Let m(t) be the second derivative of t**5/90 - t**4/180 - 3*t**2/2 - 12*t. Let o(p) be the first derivative of m(p). Suppose o(n) = 0. What is n?
0, 1/5
Suppose -7*r - 15 = -99. Find l, given that 5 + 38 + l**2 - 7 - r*l = 0.
6
Let x(i) = i**2 + 16*i - 14. Let c be x(-17). Factor 0*s**5 + 20*s**4 + 12*s**2 + 32*s**3 + 4*s**5 + 14*s**c - 18*s**3.
4*s**2*(s + 1)**2*(s + 3)
Let k(a) = a**2 + 15*a + 54. Let u be k(-9). Let s(x) be the second derivative of 11/3*x**3 + 7/10*x**5 + 8/3*x**4 + 2*x**2 - 5*x + u. Factor s(i).
2*(i + 1)**2*(7*i + 2)
Let m(t) = t - 1. Let d(b) = 15*b**2 + 79*b + 166. Let y(n) = 7*n**2 + 39*n + 83. Let v(c) = 2*d(c) - 5*y(c). Let o(u) = -3*m(u) + v(u). What is p in o(p) = 0?
-4
Let z be 816/(-340)*3/(-18). Let 4/5 - 6/5*s + z*s**2 = 0. Calculate s.
1, 2
Determine x so that -198/7*x - 6/7*x**2 - 192/7 = 0.
-32, -1
Let t(u) be the third derivative of -1/90*u**6 + 1/6*u**3 - 1/90*u**5 + 0*u - 1/630*u**7 + 5*u**2 + 1/18*u**4 + 0. Let t(m) = 0. Calculate m.
-3, -1, 1
Let m = -667 + 671. Let a(c) be the second derivative of -c - 1/36*c**m - 1/40*c**5 + 0*c**2 + 0*c**3 + 0. Suppose a(z) = 0. What is z?
-2/3, 0
Suppose -1 = y - 4*b, 5*b + 10 = 4*y + 3. Factor -5 + i**2 + 170*i - 5*i**y - 185*i - 16*i**2.
-5*(i + 1)**3
Let x(d) be the second derivative of -49/30*d**4 + 7*d - 1/75*d**6 + 0*d**3 - 7/25*d**5 + 0 + 0*d**2. Factor x(h).
-2*h**2*(h + 7)**2/5
Suppose -2*l + 11 = 23. Let x(y) = 2*y**3 + 13*y**2 + 6*y + 3. Let d be x(l). Factor -35*f**2 + 13*f + 5 - 2*f + 20*f**d - f.
5*(f - 1)**2*(4*f + 1)
Let i(v) be the first derivative of -v**6/480 + v**5/80 + 40*v**3/3 + 12. Let s(l) be the third derivative of i(l). Factor s(u).
-3*u*(u - 2)/4
Let v(n) be the second derivative of -256*n**7/7 + 160*n**6 - 282*n**5 + 1035*n**4/4 - 135*n**3 + 81*n**2/2 - 10*n + 4. Factor v(y).
-3*(y - 1)**2*(8*y - 3)**3
Suppose v - 3 = 5*f, -1 = f - 2*f. Let 0 - 25/2*i**5 + 0*i + v*i**3 - 5/2*i**4 - 2*i**2 = 0. Calculate i.
-1, 0, 2/5
Let p(k) be the first derivative of 5/4*k - 13/16*k**2 - 14 - 1/8*k**3. Suppose p(w) = 0. Calculate w.
-5, 2/3
Let n be (16/10 - 2)*15/(-24). Let l be (-6)/(-1)*1/8. Factor 1/2 + n*p**3 + 0*p**2 - l*p.
(p - 1)**2*(p + 2)/4
Factor 10 + 2*i + 3*i + 10*i - 19*i + 9*i - 5*i**2.
-5*(i - 2)*(i + 1)
Suppose 4*y - 2*j = -j + 58, 0 = -2*j - 4. Let s be (-74)/(-10) + y/(-35). Factor -6 - s*q**2 - q + 10*q**2 - 2*q.
3*(q - 2)*(q + 1)
Suppose -2*y + 5*y = 12. Let z be (-22 + 1)*4/(-6). Let 4 + z*l + 4*l**3 - 13*l - 5*l - y*l**2 = 0. What is l?
-1, 1
Let a = -29 - -28. Let k be (a + (-3)/(-4))/(-1). Find z, given that -z**3 + k - 7/4*z**2 - 1/2*z = 0.
-1, 1/4
Let v(k) be the first derivative of 5*k**3/3 + 45*k**2/2 - 180*k + 227. Suppose v(s) = 0. What is s?
-12, 3
Suppose 2*i + 192 = 8*i. Suppose -i = -0*t - 16*t. Suppose -4/7*d**3 + 0*d**4 + 2/7*d**5 + 2/7*d + 0*d**t + 0 = 0. What is d?
-1, 0, 1
Determine m, given that -179 - 189 - 106 + 149*m + 2*m**2 + 259*m + 64 = 0.
-205, 1
Let r(q) = 8*q + 44. Let n be r(-5). Suppose -4*l + 0*f = -f - 11, n*l - 3*f - 17 = 0. Factor -4/3*i**4 + 0 - 5/3*i**3 + 0*i - 1/3*i**5 - 2/3*i**l.
-i**2*(i + 1)**2*(i + 2)/3
Let d(s) be the second derivative of -s**6/195 + s**5/5 - 113*s**4/78 + 172*s**3/39 - 84*s**2/13 - 4*s - 78. Find l, given that d(l) = 0.
1, 2, 21
Let d(i) be the third derivative of -i**5/510 + 7*i**4/204 - 2*i**3/17 + i**2 - 110*i. Factor d(f).
-2*(f - 6)*(f - 1)/17
Let v(w) = 2*w**5 - 7*w**4 + 8*w**3 - 3*w**2 - 6*w. Let b(f) = -2*f**5 + 6*f**4 - 6*f**3 + 2*f**2 + 8*f. Let t(l) = 3*b(l) + 4*v(l). Factor t(j).
2*j**2*(j - 3)*(j - 1)**2
Let v = -162 + 169. Suppose -3*f - f = -v*f. Let 27/2*l + 3/2*l**3 + f + 9*l**2 = 0. Calculate l.
-3, 0
Let o(z) = -5*z**3 - 2*z**2 + 1. Let v be o(-1). Let s(r) = r**2 - 1. Let l(m) = -2*m**2 - 4*m + 4. Let c(u) = v*s(u) + l(u). Factor c(b).
2*b*(b - 2)
Let k = 32768 - 32768. Factor 6/5*u**3 + k + 21/5*u**4 + 0*u + 0*u**2.
3*u**3*(7*u + 2)/5
Let m be (45/60)/(1/4). Let a(d) be the third derivative of 3*d**2 + 0 + 0*d + 1/72*d**4 - 1/18*d**m - 1/360*d**6 + 1/180*d**5. Factor a(o).
-(o - 1)**2*(o + 1)/3
Let v be (5 + 235/(-50))*628/6. Let i = v + -31. Find k such that 0 + i*k**5 - 8/5*k**4 + 12/5*k**3 - 8/5*k**2 + 2/5*k = 0.
0, 1
Find n such that 1/2*n**2 + 1/4*n**5 - 1/2 - n**3 + 3/4*n + 0*n**4 = 0.
-2, -1, 1
Let k(i) be the third derivative of i**5/630 - 5*i**4/252 - 2*i**3/9 + 452*i**2. Factor k(r).
2*(r - 7)*(r + 2)/21
Let l(b) be the second derivative of -b**4/78 - 136*b**3/13 - 41616*b**2/13 + 7*b - 5. Factor l(v).
-2*(v + 204)**2/13
Factor 0*p**2 + 0*p + 0 - 1/4*p**5 + 0*p**3 + 1/2*p**4.
-p**4*(p - 2)/4
Let r(u) be the third derivative of u**6/480 - 3*u**4/32 - 678*u**2. Let r(d) = 0. What is d?
-3, 0, 3
Let a(w) = w**3 - 22*w**2 + 22*w - 18. Let f be a(21). Suppose 9*g**4 + 8*g - 10*g**f - 5*g - 9*g**2 + 7*g**3 = 0. What is g?
-1, 0, 1/3, 1
Suppose 5*d - 2*y - 17 = -1, 4*y + 10 = -d. Let -24*u**4 - 3*u**d - 23*u**4 + 50*u**4 = 0. What is u?
-1, 0, 1
Let j(o) be the first derivative of -1/30*o**6 - 2/15*o**3 + 2/25*o**5 + 0*o - 21 + 0*o**4 + 1/10*o**2. Solve j(k) = 0.
-1, 0, 1
Suppose r + 52 = -3*w + 20, -3*w + 48 = -3*r. Let z be (13/26)/((-2)/r). Let -5 - 21*j**4 - 16*j**5 + z - j**3 + 13*j**4 = 0. Calculate j.
-1/4, 0
Factor 26/7 - 4*i + 2/7*i**2.
2*(i - 13)*(i - 1)/7
Suppose -3*v - j - 4*j - 16 = 0, v - 8 = -5*j. Let k be v/(-28) + 32/7. Let k*m**3 - 6 + 0*m**2 - 27*m + 5*m**2 + 1 + 22*m = 0. What is m?
-1, 1
Determine w, given that -5*w**2 + 10*w - 50*w + w**2 + 6*w**2 = 0.
0, 20
Let q(d) be the