36*n**2 - 2*n**4 + 0*n**3 - 2*n - 6*n**3 + u*n**2 = 0.
-1, 0
Let b(m) be the first derivative of -4*m**5/15 + 7*m**4 - 196*m**3/3 + 686*m**2/3 + 87. Factor b(f).
-4*f*(f - 7)**3/3
Let o(t) be the third derivative of -19*t**6/120 - 29*t**5/60 - t**4/12 + t**3/3 + 21*t**2. Let i(x) = -x**3 - x + 1. Let k(q) = -2*i(q) - o(q). Factor k(a).
(a + 1)*(3*a + 2)*(7*a - 2)
Let o(u) be the third derivative of 0 + 0*u**3 - 1/60*u**5 - 1/70*u**7 - 1/336*u**8 + 0*u**4 - 1/40*u**6 + 0*u - 35*u**2. Solve o(x) = 0.
-1, 0
Let g be (-3)/(-5 - -8) + 44/4. Let x(f) be the second derivative of 1/4*f**5 + 5/42*f**7 + 0*f**4 + 0*f**3 + 0 + 1/3*f**6 + g*f + 0*f**2. Factor x(j).
5*j**3*(j + 1)**2
Let 7768/11*v + 13718/11*v**4 + 272/11 + 74100/11*v**2 + 237538/11*v**3 = 0. What is v?
-17, -2/19
Let a be (-27810)/(-55) - -3 - (-6)/(-33). Let b = 509 - a. Factor -6/11*t**2 - b*t - 2/11 - 2/11*t**3.
-2*(t + 1)**3/11
Suppose -2*d = 2*t - 4, -27*t + 29*t - 4 = d. Let -1/2*o**4 - 1/4*o**5 + 1/2*o**3 + 7/4*o + t*o**2 + 1/2 = 0. Calculate o.
-1, 2
Let a be 1 + 0 - (-30)/(-5). Let p(n) = n**2 + 3*n - 8. Let f be p(a). Let -f - 3*u**2 + 0*u**2 + 5*u**2 = 0. Calculate u.
-1, 1
Let l(m) be the second derivative of -5*m**7/42 + 3*m**6/2 + 25*m**5/4 - 55*m**4/4 + 40*m - 4. What is c in l(c) = 0?
-3, 0, 1, 11
Let v(j) be the third derivative of -j**7/220 + 13*j**6/330 + 2*j**5/55 - 8*j**3/3 + 38*j**2. Let o(c) be the first derivative of v(c). Let o(z) = 0. What is z?
-2/7, 0, 4
Let m be 1098/840 + 40/(-32). Let r(a) be the first derivative of -2 - 1/7*a**4 - m*a**5 - 2/21*a**3 + 0*a + 0*a**2. Let r(w) = 0. What is w?
-1, 0
Suppose -30*p + 185 = -145. Let i(f) be the first derivative of -p + 4/11*f - 2/33*f**3 + 1/11*f**2. Factor i(b).
-2*(b - 2)*(b + 1)/11
Let n(v) be the second derivative of -v**4/72 - 2*v**3/9 - 4*v**2/3 - 84*v. Factor n(k).
-(k + 4)**2/6
Suppose 67*g - 42*g - 100 = 0. Let s(z) be the third derivative of -3/40*z**6 + 3/20*z**5 + 0 + 0*z**3 - 1/8*z**g + 1/70*z**7 + 0*z + 2*z**2. Factor s(a).
3*a*(a - 1)**3
Let g(s) = -3*s**4 - 29*s**3 - 21*s**2 - 5. Let d(y) = 3*y**4 + 15*y**3 - 2 - 5*y**4 - 29*y**3 - 10*y**2. Let j(k) = 5*d(k) - 2*g(k). Factor j(r).
-4*r**2*(r + 1)*(r + 2)
Let c(j) = j**3 - 5*j**2 - 8*j + 7. Let q be c(6). Let s be -3 + (-2 - q) - -2. Determine z, given that z**2 + 1 - 3*z + z**s + 0 + 0*z**2 = 0.
1/2, 1
Let a(o) be the first derivative of -9*o**6/10 - 183*o**5/25 + 57*o**4/4 + 9*o**3 - 129*o**2/5 + 48*o/5 + 76. What is r in a(r) = 0?
-8, -1, 2/9, 1
Let i = 67 + -41. Factor i*z**2 - 16 - 20 - 34 - z**2 + 165*z.
5*(z + 7)*(5*z - 2)
Let x be 30/4 + 9/(-6). Suppose 4*z + 4*n = 16, -5*z - x = -6*z - 3*n. Factor 3*w**4 - 6*w**3 + 8*w**2 + 3*w**z + 3*w + 14*w**2 - 25*w**2.
3*w*(w - 1)**2*(w + 1)
Let g(m) = -m**2 + 9*m - 8. Let r be g(8). Let l = 865 + -862. Let r - 9/5*v**l + 9/5*v**2 - 3/5*v + 3/5*v**4 = 0. What is v?
0, 1
Let m(i) be the second derivative of -2*i**6/45 - i**5/3 - 8*i**4/9 - 8*i**3/9 + 146*i. Factor m(h).
-4*h*(h + 1)*(h + 2)**2/3
Solve -27/10*u**2 - 1/10*u**4 - 6/5*u**3 + 2/5*u + 18/5 = 0 for u.
-9, -2, 1
Let k = 1587 - 1583. Let v(j) be the first derivative of 0*j**3 - 1/10*j**2 + 1/20*j**k + 0*j - 14. Factor v(n).
n*(n - 1)*(n + 1)/5
Suppose -2*c = -4*o + 3 + 1, 0 = 4*o + c - 16. Let -3*l**3 + l**5 + 8*l**3 - 5*l**o - l**4 = 0. Calculate l.
0, 1
Let s = -17819/11 - -1620. Determine a so that -36/11 - s*a**2 + 12/11*a = 0.
6
What is x in -2/5*x**2 - 48/5 - 28/5*x = 0?
-12, -2
Let w be 20/6 + 155/31 + -7. Factor w - 4/3*h + 1/3*h**2.
(h - 2)**2/3
Let r(m) be the first derivative of 0*m**4 + 1/2*m**2 + 0*m**3 - 1/90*m**5 + 3 + 0*m. Let k(c) be the second derivative of r(c). Factor k(l).
-2*l**2/3
Let v = -16 - -13. Let w be (0 + v/9)*-9. Factor 0 - 1/2*o - 3/2*o**2 - 3/2*o**w - 1/2*o**4.
-o*(o + 1)**3/2
Let p(l) be the third derivative of 2*l**7/105 + l**6/15 - 4*l**5/15 - 4*l**4/3 - 251*l**2. Solve p(c) = 0.
-2, 0, 2
Let n(l) be the second derivative of -l**6/30 - 2*l**5/15 - 25*l**2/2 - 11*l. Let z(b) be the first derivative of n(b). Factor z(t).
-4*t**2*(t + 2)
Let b = 1871/5 - 5593/15. Determine k so that -208/3*k**3 - 47/3*k + 64/3*k**4 - b - 60*k**2 = 0.
-1/4, 4
Let k = 357 + -234. Let m = -365/3 + k. Let 8/3*t**2 - 10/3*t - 2/3*t**3 + m = 0. What is t?
1, 2
Let m(f) be the second derivative of -5*f**7/147 + f**6/15 + 3*f**5/70 - f**4/6 + 2*f**3/21 + 68*f. What is x in m(x) = 0?
-1, 0, 2/5, 1
Let g(j) be the third derivative of 7*j**5/90 - 41*j**4/18 - 8*j**3/3 - 10*j**2 - 9*j. Factor g(p).
2*(p - 12)*(7*p + 2)/3
Solve -5*x**2 - 186*x + 205*x + 2*x**3 + 20 - 3*x**3 + 3*x**2 = 0 for x.
-5, -1, 4
Let b be (93/6)/((-84)/24) - -5. Factor 2/7*n**2 - 2/7*n - b.
2*(n - 2)*(n + 1)/7
Let j(u) be the third derivative of -u**4/24 + 7*u**3/6 - 7*u**2. Let t be j(5). Factor -4*w**2 - 8 - w**2 - 4 + t*w**2 - 12*w.
-3*(w + 2)**2
Let r(i) = -7*i**2 + 10*i + 5. Let u(l) = l - 1. Let h(t) = -36*t**2 + 57*t + 18. Let k(q) = h(q) - 6*u(q). Let d(j) = 4*k(j) - 21*r(j). Solve d(f) = 0.
-1, 3
Suppose -3*k - 5*f = -4*k - 5, 16 = 4*k - 2*f. Factor -4 + 3*s**3 + 4 + s**2 + s**2 - s**k.
-s**2*(s - 2)*(s + 1)**2
Let g(u) = 3*u**3 - 21*u + u**3 - 4*u**3 - 5*u**3 + 9 + 13*u**2. Let d(k) = -21*k**3 + 51*k**2 - 84*k + 36. Let l(c) = -2*d(c) + 9*g(c). Factor l(z).
-3*(z - 3)*(z - 1)**2
Let w(d) = d**5 - 4*d**3 + 9*d**2 - 4*d - 2. Let j(n) = -n**2 + n. Suppose 6*g - 20 = -4*g. Let l(t) = g*w(t) + 14*j(t). Factor l(k).
2*(k - 1)**3*(k + 1)*(k + 2)
Let m(j) be the third derivative of 1/150*j**5 + 18*j**2 + 1/5*j**3 + 0 + 0*j + 1/15*j**4. Factor m(t).
2*(t + 1)*(t + 3)/5
Let b = 27598 - 27595. What is m in -18*m**b - 99/5*m - 3/5*m**5 + 27/5 + 27/5*m**4 + 138/5*m**2 = 0?
1, 3
Let d(x) = -x**3 - 118*x**2 - 346*x - 113. Let s be d(-115). Solve 1/5 - 3/5*f - 1/5*f**3 + 3/5*f**s = 0 for f.
1
Let n(s) be the first derivative of -8*s - 2/9*s**3 + 0*s**4 - 1 + 1/90*s**6 + 1/20*s**5 + 0*s**2. Let v(l) be the first derivative of n(l). Factor v(j).
j*(j - 1)*(j + 2)**2/3
Let q(m) = 25*m**2 - 30*m - 45. Let x(n) = -7*n**2 + 6*n - 6. Let a(v) = -v**2 + v - 1. Let j(k) = 6*a(k) - x(k). Let b(o) = -30*j(o) + q(o). Factor b(t).
-5*(t + 3)**2
Let -16/5*s + 0 - 2/5*s**3 - 18/5*s**2 = 0. Calculate s.
-8, -1, 0
Let p be ((-3)/(-2))/(3/18). Suppose 6 = 3*b - p. Factor 4*n**5 + 8*n**4 - n**3 + b*n**3 + 22*n - 22*n.
4*n**3*(n + 1)**2
Let x(n) = 2*n - 17. Let p be x(12). Factor -4*a**3 - 24 - 336*a - 3*a**4 + 18*a**2 + 324*a + p*a**3.
-3*(a - 2)**2*(a + 1)*(a + 2)
Let i be (40/48)/(150/360). Find c, given that -15/2*c**i + 18*c - 6 = 0.
2/5, 2
Let x(z) be the second derivative of -z**7/42 + z**6/24 + z**5/6 - 14*z**2 - 37*z. Let o(d) be the first derivative of x(d). Factor o(y).
-5*y**2*(y - 2)*(y + 1)
Let g(s) be the second derivative of -s**8/20160 - s**7/1260 - s**6/180 - s**5/45 + 5*s**4/6 - s. Let q(a) be the third derivative of g(a). Factor q(r).
-(r + 2)**3/3
Let a(n) = 11*n + 7. Let d be a(0). Let t be (-2 - -3)*d + -4. Let 4/5*w**t + 0 + w**2 + 2/5*w + 1/5*w**4 = 0. Calculate w.
-2, -1, 0
Let m(u) be the second derivative of -u**6/90 + u**5/60 + u**4/12 - u**3/18 - u**2/3 + 2*u + 25. Find q such that m(q) = 0.
-1, 1, 2
Let m(w) be the second derivative of 2/3*w**3 + 2*w**2 + 0 - 3*w - 1/3*w**4 + 1/15*w**5. Let a(q) be the first derivative of m(q). What is b in a(b) = 0?
1
Let n be (-12 + 11)/(2/(-10) - 0). Let z be ((-126)/(-35))/(7/n). Factor -12/7*i + z + 2/7*i**2.
2*(i - 3)**2/7
Suppose -14*l - 15*l - 6*l + 70 = 0. Factor 2/11*c**4 - 2/11*c**l + 4/11*c + 0 - 4/11*c**3.
2*c*(c - 2)*(c - 1)*(c + 1)/11
Factor 3*d - 3/2*d**2 + 9/2.
-3*(d - 3)*(d + 1)/2
Let p(a) be the second derivative of -3*a**5/40 - 7*a**4/2 - 53*a**3/4 - 39*a**2/2 - 91*a. Factor p(t).
-3*(t + 1)**2*(t + 26)/2
Let m = 17182/9 + -1909. Factor m*w**2 + 1 + 2/3*w.
(w + 3)**2/9
Let n = 64351/2070 - -31/230. Let t = n - 31. Factor -8/3*m - t*m**3 + 16/9 + 4/3*m**2.
-2*(m - 2)**3/9
Let r = 112 - 115. Let p be (-2 - 0) + 4 + (r - -6). Let 3/2*i**p - 3*i**3 + 3/2 - 3*i**2 + 3/2*i + 3/2*i**4 = 0. What is i?
-1, 1
Let r(c) = -4*c**2 - 6*c - 8. Suppose -3*w = -6*w + 36. Let z(k) = -k**2. Let i(d) = w*z(d) - 2*r(d). Suppose i(l) = 0. Calculate l.
-1, 4
Let m = 3696 - 18476/5. Factor -4*u - m*u**3 + 17/5*u**2 + 4/5.
-(u -