et m(v) be the second derivative of -102*v + 0*v**2 - 33/8*v**5 + 0*v**3 + 75/8*v**4 - 1/28*v**7 + 0 + 13/20*v**6. Factor m(n).
-3*n**2*(n - 5)**2*(n - 3)/2
Solve 848*u - 25/4*u**4 + 113*u**3 - 64 - 609*u**2 = 0 for u.
2/25, 2, 8
Let n(b) = -3*b - 3. Suppose -3*m + 12*m + 18 = 0. Let w(v) = -v**3 + v**2 - 2*v - 2. Let t(d) = m*n(d) + 3*w(d). Factor t(a).
-3*a**2*(a - 1)
Let w(t) be the first derivative of -t**6/2 - 36*t**5/5 - 57*t**4/2 - 52*t**3 - 99*t**2/2 - 24*t + 797. Determine i, given that w(i) = 0.
-8, -1
Let u be ((-11)/2*2 - 13052/(-2008)) + (-1 - -7). Suppose -u*g**2 + 45/2 + 3*g = 0. Calculate g.
-3, 5
Let c = 5401/2404 + 2/601. Let a(f) = 5*f - 85. Let x be a(18). Suppose c*m**2 + 0 - 3/4*m**3 - 29/4*m**4 + 21/4*m**x + 1/2*m = 0. What is m?
-1/3, -2/7, 0, 1
Let s(k) be the second derivative of k**7/8820 - k**6/315 + k**5/35 + 25*k**4/4 + 18*k. Let o(m) be the third derivative of s(m). Factor o(p).
2*(p - 6)*(p - 2)/7
Suppose -266 - 2*o**3 + 4909 - 310*o - 98*o**2 + 20343 = 0. What is o?
-31, 13
Let a(c) be the third derivative of c**6/140 - 659*c**5/105 + 1753*c**4/84 - 146*c**3/7 + 2*c**2 + 1491*c. What is z in a(z) = 0?
1/3, 1, 438
Let k be 4/(-50)*((-111)/48 + (-26)/(-13)). Let r(q) be the second derivative of 0 + 1/2*q**3 + 0*q**4 + k*q**6 - 9*q - 9/80*q**5 + 0*q**2. Factor r(f).
3*f*(f - 2)**2*(f + 1)/4
Let x(j) be the third derivative of j**5/36 + 47*j**4/36 + 79*j**3/6 + 5623*j**2. Solve x(z) = 0.
-79/5, -3
Let f(j) be the first derivative of -55/3*j**2 + 4/9*j**3 + 18*j + 165. Find m such that f(m) = 0.
1/2, 27
Let z(y) be the third derivative of -y**7/2520 + y**5/240 - y**4/144 - 10*y**2 + 10*y. Solve z(m) = 0.
-2, 0, 1
Factor -1809 + 1497 - 1990 + 300*t - 3010*t - 5*t**2 - 3098.
-5*(t + 2)*(t + 540)
Let p = -1718 - -1725. Let d(h) be the third derivative of 0*h - 1/42*h**p + 16*h**2 + 1/12*h**5 + 1/12*h**6 + 0 + 0*h**3 - 5/12*h**4. Solve d(j) = 0 for j.
-1, 0, 1, 2
Let u be 216/(-378) + (-16)/(-28). Let g(b) be the third derivative of -5*b**2 + 0*b**4 + 1/30*b**3 + 0*b + u - 1/300*b**5. Let g(q) = 0. What is q?
-1, 1
Let s(u) be the third derivative of 23/40*u**6 - 3/2*u**4 + u**5 + 143*u**2 + 0 + 0*u + 0*u**3 + 1/14*u**7. Determine z, given that s(z) = 0.
-3, -2, 0, 2/5
Let h(o) be the first derivative of -13 - 4/3*o**3 + 16/3*o**2 - 20/3*o. Factor h(c).
-4*(c - 1)*(3*c - 5)/3
Suppose -5*y - 35 = -5*n, 5*y = -4*n - 0*y + 1. Let s be 160/(-16) + (-280)/(-24). Solve -50/3*d**3 + 60*d**2 - 90*d + 45 + s*d**n = 0 for d.
1, 3
Let f = 1356 - 1350. Let p(q) be the second derivative of 0*q**2 + 3/10*q**5 + 0 - 2/9*q**3 + f*q + 7/18*q**4. Factor p(g).
2*g*(g + 1)*(9*g - 2)/3
Let x(j) be the third derivative of j**6/420 - 16*j**5/105 + 16*j**2 - 5*j. Suppose x(z) = 0. Calculate z.
0, 32
Suppose -11*m = 28*m + 20*m. Let l(w) be the third derivative of 1/6*w**3 - 11*w**2 + 1/120*w**6 - 1/24*w**4 + m + 0*w - 1/60*w**5. Find n such that l(n) = 0.
-1, 1
Let p be (-630)/84*(1 - 35/25). Factor -66/19*w**2 - 26/19*w**p - 2/19*w**4 - 20/19 - 62/19*w.
-2*(w + 1)**3*(w + 10)/19
Let c = -86 - -137. Let y = 113 - c. Factor -12*u + 55*u**2 - 113*u**2 + y*u**2 - 16.
4*(u - 4)*(u + 1)
Let v be ((-4324)/138 - -32)*(198/(-4))/(-11). Factor 56/9*q - 2 - 2/9*q**4 + 8/3*q**v - 20/3*q**2.
-2*(q - 9)*(q - 1)**3/9
Suppose -1/5*a**3 + 11/5*a**2 + 0 - 6*a = 0. What is a?
0, 5, 6
Let d(p) be the second derivative of 1 - 1/12*p**4 + 1/2*p**3 - 1/60*p**5 - 5/6*p**2 + 2*p. Suppose d(z) = 0. What is z?
-5, 1
Let x = 3623 + -1894. Let g = x - 10373/6. Factor 1/3 + g*j**4 - 7/6*j + 3/2*j**2 - 5/6*j**3.
(j - 2)*(j - 1)**3/6
Let m = -718 - -720. Determine o, given that -24500 - 169*o**m - 175*o**2 + 339*o**2 + 700*o = 0.
70
Let f(v) be the second derivative of -6 + 5/12*v**4 - 5/2*v**3 + 0*v**2 - 4*v. Factor f(r).
5*r*(r - 3)
Let t = -4978 + 4980. Let z(h) be the first derivative of 0*h - 1/46*h**4 + 1/23*h**t + 4 - 2/115*h**5 + 2/69*h**3. Factor z(j).
-2*j*(j - 1)*(j + 1)**2/23
Suppose -r = 2*t + 4*r + 8, -4*r = -3*t + 11. Let z be -3 + 4 + 0 + (4 - t). Find l, given that 0 - 11 + 3*l - l**z + 1 + 5*l**2 - 3*l**3 + 6 = 0.
-4, -1, 1
Suppose 0 = -26*f + 31*f - 225. Find l such that -41*l - 42*l + 4*l**2 + 120*l - f*l = 0.
0, 2
Let s(u) = -8 + 133*u - 279*u + 141*u. Let l be s(-2). Factor -16*p - 11 - 6 - 15 - 2*p**l.
-2*(p + 4)**2
Let n(s) be the first derivative of -223 + 26/21*s**3 + 1/14*s**4 + 32/7*s**2 + 40/7*s. Factor n(m).
2*(m + 1)*(m + 2)*(m + 10)/7
Let s(i) be the second derivative of -i**4/36 - 25*i**3/18 + 9*i**2 + 2*i - 594. Solve s(w) = 0 for w.
-27, 2
Suppose 54*w - 48 = -3*d + 52*w, 4*w + 44 = 4*d. Suppose -d*s = s - 60. What is g in -2/3*g**2 - 1/9 - 4/9*g**3 - 1/9*g**s - 4/9*g = 0?
-1
Let a be 1*1/(-2)*4/(-10). Let y be -5 + 6 + 1 + 48/(-30). Suppose y*d**3 + 0*d + 0 + a*d**4 - 3/5*d**2 = 0. What is d?
-3, 0, 1
Let j(o) = -o**2 - 1408*o + 49032. Let u be j(34). Let v = 3/82 + 29/328. What is a in 5/8*a**3 - v*a**u - 3/8*a**2 + 0 - 9/8*a = 0?
-1, 0, 3
Suppose 5*p = 47 - 12. Suppose -4 = 5*y - p*y. Factor -12*w**y - w**3 + 7*w**3 - 2*w**3 + 8*w.
4*w*(w - 2)*(w - 1)
Factor 0*b + 858/7*b**3 + 0 + 61347/7*b**2 + 3/7*b**4.
3*b**2*(b + 143)**2/7
Let a be 33 + -5 + (-4 - -2). Find n such that 2*n**5 - 7*n**4 - 5*n**4 - a*n**3 + 53*n**2 + 124*n**2 + 4*n**3 - 57*n**2 + 200*n = 0.
-2, 0, 5
Let b(a) = -12*a**3 + 63*a**2 - 45*a - 111. Let c(m) = m**3 + m**2 - 2*m - 3. Let f(o) = b(o) + 9*c(o). Let f(q) = 0. Calculate q.
-1, 2, 23
Let r(p) be the third derivative of p**7/140 + 7*p**6/40 + 23*p**5/40 - 7*p**4/8 - 6*p**3 - 5*p**2 + 172. Let r(q) = 0. What is q?
-12, -2, -1, 1
Let f(x) be the first derivative of 27 + 33*x - 1/12*x**3 + 3/32*x**5 + 0*x**2 - 1/8*x**4 - 1/60*x**6. Let q(i) be the first derivative of f(i). Factor q(w).
-w*(w - 2)**2*(4*w + 1)/8
Let v(j) be the third derivative of -j**6/900 - j**5/450 + 7*j**4/30 - 746*j**2. Factor v(s).
-2*s*(s - 6)*(s + 7)/15
Let s(j) be the second derivative of 1/63*j**7 + 6*j + 32/3*j**3 + 0 - 8/15*j**5 - 1/15*j**6 + 64/3*j**2 + 10/9*j**4. Find f such that s(f) = 0.
-2, -1, 4
Let c be (42/7 + -7)/((-10)/4). Suppose 5*n - 30 = -4*m, -4*n - 5*m + 3 = -6*m. Find z such that -4/5*z - 18/5*z**3 - n*z**4 - 14/5*z**2 - c*z**5 + 0 = 0.
-2, -1, 0
Suppose 0 = 3*n - 0*n - 15. Suppose -17 = -n*y + 18. Factor 3*b**2 + 2*b**2 - 60*b + 177 + y - 4.
5*(b - 6)**2
Let r(k) = -33*k**3 - 44*k**2 - 39*k - 4. Let s(j) = 40*j**3 + 45*j**2 + 40*j + 5. Let w(i) = -5*r(i) - 4*s(i). Solve w(c) = 0.
-7, -1, 0
Suppose -232/3*t**2 - 2102/9*t + 2/9*t**3 - 156 = 0. What is t?
-2, -1, 351
Factor -40/7*f + 39/7 + 1/7*f**2.
(f - 39)*(f - 1)/7
Let n be 5 + 182/(-35) + 332/60. Let t(k) be the first derivative of -224/5*k**5 + 0*k + 0*k**2 - n*k**3 - 4 - 31*k**4 + 32/3*k**6. Solve t(p) = 0 for p.
-1/4, 0, 4
Let w = 2561 + -2557. Let t(k) be the third derivative of 0 - 5/32*k**w - 5/12*k**3 + 0*k - 1/48*k**5 - 13*k**2. Solve t(r) = 0 for r.
-2, -1
Suppose -46*r + 99*r - 106 = 0. Let f be (-14)/(-36) - 6/27. Let 0 + 1/6*h + f*h**r = 0. Calculate h.
-1, 0
Let p = -50 - -74. Let 6*g + 11*g - g**2 + p - 8*g + 11*g - 6*g - g**3 = 0. What is g?
-3, -2, 4
Let j(t) = -t**2 - 210*t - 1025. Let v be j(-5). Factor -8*q**4 - 16/3*q**2 + 12*q**3 + 4/3*q**5 + 0 + v*q.
4*q**2*(q - 4)*(q - 1)**2/3
Let w = 64520095/981827 - 5/140261. Determine s, given that -3364/7 + 8/7*s**3 + 928*s + w*s**2 = 0.
-29, 1/2
Let t be (-279)/(-99) - 8/(-44). Suppose -2*q = 3*s + 9, 5*s + 15 = -8*q + t*q. Factor -2/5*y**2 + q + 1/5*y + 1/5*y**3.
y*(y - 1)**2/5
Let l = 89 - 24. Suppose l*o = 55*o + 20. Factor -2*v + 5 + 1/5*v**o.
(v - 5)**2/5
Let p = -68 - -70. Factor 5569*l**2 + 4*l**3 - 5554*l**p - 3*l**3.
l**2*(l + 15)
Suppose 0 = -4*d - 8 + 20. Find s such that s**2 + 0*s + 6*s - d*s + 0*s**3 - 4*s**3 = 0.
-3/4, 0, 1
Factor 0 - 24*k - 1/2*k**3 + 7*k**2.
-k*(k - 8)*(k - 6)/2
Let f be 2000/220 + (-7 - 1). Let m(d) be the second derivative of f*d**3 - 8*d - 5/22*d**5 + 8/11*d**2 + 0 + 5/11*d**4. Suppose m(p) = 0. Calculate p.
-2/5, 2
Let l(t) be the third derivative of t**8/10080 - 67*t**5/30 - 104*t**2. Let n(a) be the third derivative of l(a). Find r such that n(r) = 0.
0
Let z(q) be the third derivative of 13/6*q**5 + 0*q**3 + 0 + 1/35*q**7 + 25/12*q**4 + 51*q**2 - 29/60*q**6 + 0*q. 