**2 - n*o = 0. What is o?
-2, 0
Let o be ((-192)/(-25))/(-5 - 2781/(-540)). Factor 32/5*m - 1/5*m**2 - o.
-(m - 16)**2/5
Let j(n) = -3*n**2 - 2*n + 6. Let s be j(0). Find b such that -s*b**2 - 8/5*b + 0 + 8/5*b**3 = 0.
-1/4, 0, 4
Let c = -19 + 21. Suppose 35 = 5*o + 3*g, 1 = 2*o - g - c. Suppose -12*a - 126*a**2 + 0 - 1029/2*a**o - 441*a**3 = 0. Calculate a.
-2/7, 0
Factor 11/2*y**2 + 19/2*y + 9/2 + 1/2*y**3.
(y + 1)**2*(y + 9)/2
Let c(m) be the first derivative of 35*m**6/12 + 129*m**5/10 + 125*m**4/8 - 3*m**3/2 - 13*m**2 - 6*m - 479. Let c(d) = 0. Calculate d.
-2, -1, -2/7, 3/5
Factor 35*y - 40*y**2 + 134*y**3 + 3 - 259*y**3 - 3 + 130*y**3.
5*y*(y - 7)*(y - 1)
Let b(t) be the second derivative of -t**5/15 - t**4/2 + 8*t**3/3 - 15*t**2/2 + 17*t. Let c(k) be the first derivative of b(k). Factor c(m).
-4*(m - 1)*(m + 4)
Suppose 1/2*o**2 - 15/2*o + 13 = 0. Calculate o.
2, 13
Let b(v) be the first derivative of v**5/150 - v**4/20 + 9*v**2/2 + 11. Let s(u) be the second derivative of b(u). Suppose s(f) = 0. Calculate f.
0, 3
Find u such that 38*u**2 - 28*u**2 - 152*u**3 + 151*u**3 - 24 - 13*u = 0.
-1, 3, 8
Let u(p) be the second derivative of p**6/70 - 3*p**4/28 - p**3/7 - 9*p. Factor u(v).
3*v*(v - 2)*(v + 1)**2/7
Suppose -5*u = -4*u - 4. Suppose -2*a**2 - 39 + 5*a**u - 8*a**2 + 44 = 0. Calculate a.
-1, 1
Let h(x) = x**3 + 1. Let n be h(0). Let l = n + 2. Suppose o**4 + o**l + 0*o**5 - o**5 - o**3 = 0. Calculate o.
0, 1
Let p = 166 - 166. Factor -4/7*w**3 - 4/7*w**2 + p*w + 0.
-4*w**2*(w + 1)/7
Let z(p) be the second derivative of p**6/15 + 2*p**5 + 50*p**4/3 - 361*p. Factor z(w).
2*w**2*(w + 10)**2
Let x(c) = c - 1. Let r(t) be the first derivative of 7*t - 3/4*t**4 - 1/2*t**2 + 3 - t**3. Let a(o) = -r(o) - 4*x(o). Let a(q) = 0. Calculate q.
-1, 1
Let y = 49 + -47. Let 1 - 2*g + 0*g + 4*g - 4*g**y + 1 = 0. What is g?
-1/2, 1
Let x(w) = 19*w**3 + 34*w**2 + 5*w - 4. Let u(p) = p**3 + p**2 - 1. Let h(s) = -6*u(s) - x(s). Factor h(t).
-5*(t + 1)**2*(5*t - 2)
Let v = 1634 + -1618. Let j(t) be the first derivative of -7 + 20/3*t**3 + v*t**2 + 16*t + t**4. Suppose j(r) = 0. What is r?
-2, -1
Find z, given that 38*z**4 - 54*z**3 + 18 + 324*z**2 + 184*z + 124*z**3 + 158*z**3 - 34*z**3 - 2 = 0.
-2, -1, -2/19
Let g be 0 + 4 + (-1)/1. Factor g*s**3 + s + s**2 - s**4 - 7*s**3 + 3*s**3.
-s*(s - 1)*(s + 1)**2
Let x(d) = d + 9. Let l be x(-7). Suppose -u + 6 = -0*u + 2*p, 3*p + l = 4*u. Factor -4*b**4 + 2*b**2 + 2*b**4 + 4*b**2 - 4*b**u.
-2*b**2*(b - 1)*(b + 1)
Let m(o) be the first derivative of o**6/18 - o**5/15 - 7*o**4/6 - 26*o**3/9 - 19*o**2/6 - 5*o/3 + 68. Factor m(n).
(n - 5)*(n + 1)**4/3
Let y(i) be the first derivative of -2*i**3/21 - 2*i**2 - 149. What is h in y(h) = 0?
-14, 0
Let m(s) be the third derivative of -s**6/90 + s**5/15 + s**3/3 - 18*s**2. Let h(q) be the first derivative of m(q). Solve h(p) = 0.
0, 2
Suppose 0 = -14*y - 4 + 46. Factor 1/4*s**5 - 1/4*s**y - 1/4*s**2 + 0 + 1/4*s**4 + 0*s.
s**2*(s - 1)*(s + 1)**2/4
Let m(i) be the second derivative of i**4/12 - 14*i**3/3 + 75*i**2/2 - 261*i. Find q such that m(q) = 0.
3, 25
Let j(g) = g**4 + 1. Let a(h) = 12*h**5 - 50*h**4 + 63*h**3 - 27*h**2 - 2. Suppose -5*l + 1 + 4 = 0, 5*l - 2 = 3*o. Let v(q) = o*a(q) + 2*j(q). Factor v(s).
3*s**2*(s - 1)*(2*s - 3)**2
Let v(n) be the second derivative of -9*n**5/16 + 67*n**4/8 + 11*n**3/8 - 27*n**2/4 + 122*n. Let v(l) = 0. What is l?
-2/5, 1/3, 9
Let k(b) = -b**3 + 59*b**2 - 59*b + 3. Let h be k(1). Factor 14/3 - 16/3*j + 2/3*j**h.
2*(j - 7)*(j - 1)/3
Let h = 1665/4 - 416. Let g(u) be the second derivative of 1/2*u**2 + h*u**3 + 1/24*u**4 - 6*u + 0. Let g(l) = 0. What is l?
-2, -1
Suppose 5*l - 16 = 2*j, 5*j + 7 = 4*l + 1. Suppose -c = j*c - 12. Let -8*f**2 + 9*f**4 - 15*f**c - f**4 + 19*f**3 - 4*f = 0. Calculate f.
-2/7, 0, 1, 2
Let c(d) be the second derivative of 29*d**5/30 - 31*d**4/18 + 2*d**3/9 + 106*d. Factor c(t).
2*t*(t - 1)*(29*t - 2)/3
Let n(m) be the third derivative of 161/60*m**6 - 7/15*m**7 - 2/3*m**3 - 21*m**2 - 47/10*m**5 + 0*m + 0 + 31/12*m**4. Let n(w) = 0. Calculate w.
1/7, 1, 2
Let z(j) = -21*j**5 - 132*j**4 - 204*j**3 + 84*j**2 + 225*j + 60. Let b(x) = -x**2 - 1. Let v(s) = 6*b(s) + z(s). Suppose v(g) = 0. What is g?
-3, -1, -2/7, 1
Let j(k) be the third derivative of k**7/30 - 17*k**6/120 - 2*k**5/3 - 2*k**4/3 + 137*k**2. Factor j(u).
u*(u - 4)*(u + 1)*(7*u + 4)
Let t = 759 - 752. Let s(j) be the third derivative of 0 + 0*j**4 + 1/588*j**8 + 3*j**2 + 2/245*j**t + 1/105*j**5 + 0*j**3 + 0*j + 1/70*j**6. Factor s(f).
4*f**2*(f + 1)**3/7
Let i(o) = 3*o**3 - 118*o**2 + 1310*o - 1205. Let p(l) = 3*l**3 - 119*l**2 + 1312*l - 1204. Let r(b) = 4*i(b) - 5*p(b). Factor r(f).
-3*(f - 20)**2*(f - 1)
Let o = -31333/15 + 2089. Let i(u) be the first derivative of -5 - 2/45*u**3 - 2/15*u + o*u**2. Factor i(z).
-2*(z - 1)**2/15
Let g(o) be the second derivative of 0*o**2 + 1/84*o**7 + 0*o**3 - 1/90*o**6 + 0 + 0*o**4 + 0*o**5 + 17*o. Factor g(t).
t**4*(3*t - 2)/6
Let b(k) be the second derivative of -k**6/60 + k**5/15 + k**4/9 - 8*k**3/9 + 4*k**2/3 + 92*k. Let b(v) = 0. Calculate v.
-2, 2/3, 2
Let o be (-16)/12*2/6 + 356/72. Factor o*q + 3/2*q**4 + 15/2*q**3 + 0 + 21/2*q**2.
3*q*(q + 1)**2*(q + 3)/2
Let m = 49 - 53. Let k be 1/(m/10*5/(-4)). Determine a, given that 2 + 1/2*a**2 + k*a = 0.
-2
Let m(t) be the second derivative of -2/85*t**5 - 4/51*t**3 - 2*t - 1/255*t**6 + 0 - 1/17*t**2 - 1/17*t**4. Find j such that m(j) = 0.
-1
Determine i, given that -32*i - 1/7*i**3 - 28 - 29/7*i**2 = 0.
-14, -1
Let i(z) = -45*z**3 + 80*z**2 - 70*z + 15. Let l(r) = 21*r**3 - 40*r**2 + 35*r - 8. Let v(g) = 2*i(g) + 5*l(g). Factor v(a).
5*(a - 1)**2*(3*a - 2)
Let o(w) be the second derivative of -w**6/45 - w**5/3 + 2*w**4 - 38*w**3/9 + 13*w**2/3 + 204*w. Factor o(i).
-2*(i - 1)**3*(i + 13)/3
Suppose -28*f + 8 = -24*f. Let k be 3/f*12/9. Factor 1/2*s + 0 - 1/4*s**k.
-s*(s - 2)/4
Let b = 31025/6 + -5150. Find m, given that 2/3*m**2 + 20/3*m**3 + 125/6*m**4 + b*m**5 + 0*m + 0 = 0.
-2/5, -1/5, 0
Let c(x) be the first derivative of 4*x**5/5 + 8*x**4 + 52*x**3/3 + 12*x**2 - 35. Suppose c(w) = 0. What is w?
-6, -1, 0
Determine b so that 6312*b - 6600*b + 26*b**2 + 20736 - 25*b**2 = 0.
144
Let v(z) = 2*z**4 + z**2 - 1. Let q(t) = -9*t**4 + 8*t**3 - 20*t**2 + 4. Let g(o) = 5*q(o) + 20*v(o). Factor g(m).
-5*m**2*(m - 4)**2
Find k, given that -204/7*k**2 + 0*k - 4/7*k**3 + 0 = 0.
-51, 0
Let b(i) = -3*i**2 + 8*i + 17. Suppose 0 = -21*l - 35 - 7. Suppose -6 + 50 = 4*a. Let k(t) = -14*t**2 + 39*t + 86. Let j(g) = a*b(g) + l*k(g). Factor j(s).
-5*(s - 3)*(s + 1)
Let h(i) = 4*i + 3. Let l be h(-2). Let v(j) = -j**2 - 10*j - 25. Let t be v(l). Let t + 0*w + 1/2*w**3 + 0*w**2 = 0. Calculate w.
0
Let v(d) = -5*d**3 - 5*d**2 + 260*d + 2. Let a(u) = 110*u**3 + 110*u**2 - 5710*u - 45. Let c(k) = -2*a(k) - 45*v(k). Solve c(n) = 0.
-8, 0, 7
Let w(x) be the second derivative of 3*x**4/4 + 46*x**3/3 + 10*x**2 - 2*x - 3. Find d such that w(d) = 0.
-10, -2/9
Let n(s) be the first derivative of s**4/4 - 2*s**3 + 5*s**2/2 + 2*s + 1. Let b be n(5). Find r, given that -3*r**2 + 32*r - 32*r + 2*r**3 - r**b = 0.
0, 2
Let h(f) be the first derivative of 31 + 7/6*f**6 + 91/4*f**4 - 47/5*f**5 - 11*f**3 + 0*f - 9*f**2. Factor h(j).
j*(j - 3)**2*(j - 1)*(7*j + 2)
Let g be (-72)/45 - 6/(-10). Let k(a) = 3*a**5 + 7*a**4 - 3*a**3 + a**2 + 4*a. Let d(w) = w**5 + w**4 + w. Let l(h) = g*k(h) + 4*d(h). Factor l(q).
q**2*(q - 1)**3
Let q(p) be the second derivative of -p**5/4 + 5*p**3/6 - 2*p - 9. Factor q(u).
-5*u*(u - 1)*(u + 1)
Let l = -87 + 56. Let x = -13 - l. Factor x*y + 7*y - 3*y**2 - 7*y + 27 + 6*y**2.
3*(y + 3)**2
Let t = -2 + 7. Let r = -1152 + 1157. Suppose 8*g**3 - g**r - 3*g**t - g + 3*g**5 - 6*g**3 = 0. What is g?
-1, 0, 1
Let a(o) be the third derivative of -o**5/36 - 25*o**4/24 + 40*o**3/9 + 188*o**2. Suppose a(s) = 0. What is s?
-16, 1
Let a(u) be the first derivative of 57/4*u**4 - 42*u**2 + 24*u + 22*u**3 + 9/2*u**6 + 13 - 18*u**5. Solve a(s) = 0 for s.
-1, 2/3, 1, 2
Suppose -6*i + 7*i + 7 = -2*o, 0 = 3*i + o + 1. Let v be i - (196/(-36))/(-7) - 0. Factor -2/9*a**3 - 4/9 + v*a + 4/9*a**2.
-2*(a - 2)*(a - 1)*(a + 1)/9
Suppose 46*i - 39*i = 175. Let x be 40/i - 6/(-15). Determine v, given tha