*(b - 2)**3*(b - 1)
Let h be (-1 - -3) + (7 - 6)*(0 + 3). Let 1/5*c**h + 0 - 6/5*c**4 + 16/5*c + 24/5*c**2 + 1/5*c**3 = 0. What is c?
-1, 0, 4
Let w(j) be the first derivative of -4*j**3/3 - 196*j**2 - 9604*j + 9. Find s such that w(s) = 0.
-49
Let -6/7*t**2 + 6*t + 48/7 = 0. What is t?
-1, 8
Let p be -1*(-28)/(-8)*(-4)/7. Determine j, given that -2*j**p + 4/3*j + 2/3*j**3 + 0 = 0.
0, 1, 2
Suppose 5*g + 67 = -5*y + 2, 0 = -3*g + 3*y - 45. Let o = -7 - g. Factor -10 + o + 32*u - 61 - 4*u**2.
-4*(u - 4)**2
Factor -40/7 + 66/7*d**2 - 72/7*d - 10/7*d**3.
-2*(d - 5)*(d - 2)*(5*d + 2)/7
Let w(z) be the second derivative of -4*z**6/15 - z**5/5 + 2*z**4/3 + 2*z**3/3 - 88*z. Solve w(k) = 0 for k.
-1, -1/2, 0, 1
Let x = -6453/5 - -45201/35. Factor 3/7 - x*b**2 + 0*b + 0*b**3 + 3/7*b**4.
3*(b - 1)**2*(b + 1)**2/7
Factor 0*p + 12*p**2 + 0 + 2/7*p**3.
2*p**2*(p + 42)/7
Let g(z) = -z**2 + z + 5. Let r be g(-5). Let b = -23 - r. Factor -12*q**3 + 6*q**b + 5*q - 2*q**4 + 10*q - 10*q**4 + 6 - 6*q**5 + 3*q**5.
-3*(q - 1)*(q + 1)**3*(q + 2)
Let m(h) be the first derivative of h**6/10 + 3*h**5/10 - h**4/4 - h**3 - h - 1. Let f(q) be the first derivative of m(q). Factor f(c).
3*c*(c - 1)*(c + 1)*(c + 2)
Let h(b) be the third derivative of b**7/210 - b**6/120 - 13*b**2. Factor h(o).
o**3*(o - 1)
Let u(o) be the third derivative of 0*o - 19*o**2 + 1/6*o**5 + 0 + 0*o**3 + 1/8*o**6 + 0*o**4 + 1/42*o**7. Solve u(w) = 0 for w.
-2, -1, 0
Let a(p) be the first derivative of p**3/18 - 9*p**2/4 - 305. Factor a(n).
n*(n - 27)/6
Suppose 5 = 5*z - 5. Suppose -t - 2*u + u - z = 0, -3*u - 12 = 0. Solve 2*g**2 + g**2 - 4*g**2 + 2*g**t + 1 + 2*g = 0.
-1
Let d be (10 - 572/55) + 162/400. Let c(f) be the third derivative of 0*f**3 + 1/100*f**5 + 0*f - d*f**6 + 0*f**4 + 0 - 4*f**2. Factor c(x).
-3*x**2*(x - 1)/5
Factor 9/4*b - 25/4*b**3 - 1/4 - 15/4*b**2.
-(b + 1)*(5*b - 1)**2/4
Let u(x) be the first derivative of x**4/18 + 16*x**3/27 - x**2/9 - 16*x/9 + 155. Find q such that u(q) = 0.
-8, -1, 1
Let o(k) be the first derivative of -k**4/30 + 14*k**3/45 + 41*k**2/15 + 22*k/5 + 83. Let o(w) = 0. Calculate w.
-3, -1, 11
Let l(w) be the first derivative of w**6/10 + 14*w**5/25 + 13*w**4/20 - 6*w**3/5 - 2*w**2 + 8*w/5 + 46. Let l(o) = 0. What is o?
-2, 1/3, 1
Suppose -4*j = 6*u - 2*u - 32, 5*u = 15. Let c(s) be the first derivative of 1/3*s**3 + s**2 + j + s. Factor c(l).
(l + 1)**2
Let o = -21 + -45. Let b be (22/o)/(2/(-9)). Factor 1/2*k + 0 - b*k**3 - 1/2*k**2 - k**5 + 5/2*k**4.
-k*(k - 1)**3*(2*k + 1)/2
Let x be (2/4)/((-20)/40). Let k(g) = -3*g**3 - g - 2. Let l be k(x). What is p in 0 - 2/7*p**3 + 2/7*p**l + 0*p = 0?
0, 1
Let x(c) be the third derivative of 0*c**3 + 0*c**6 + 6*c**2 + 0*c + 0 + 0*c**4 + 0*c**5 + 1/70*c**7. Let x(y) = 0. Calculate y.
0
Factor 30 + 21*o**3 + 15*o**2 + 21*o**2 + 92*o - 18*o**3 - 29*o.
3*(o + 1)**2*(o + 10)
Let o(t) be the third derivative of t**7/6300 - t**6/900 + t**5/300 - t**4/8 + 6*t**2. Let z(k) be the second derivative of o(k). Suppose z(v) = 0. What is v?
1
Let h(i) be the second derivative of i**6/1980 - 3*i**5/110 + 27*i**4/44 + 5*i**3/6 + 14*i. Let l(w) be the second derivative of h(w). Solve l(p) = 0.
9
Let n = -415/2 - -208. Let l(j) be the second derivative of -j - n*j**2 + 1/30*j**6 + 1/10*j**5 + 0 - 1/3*j**3 + 0*j**4. Let l(p) = 0. Calculate p.
-1, 1
Let p(o) = 6*o**3 + 50*o**2 - 28*o - 4. Let i(u) = 7*u**3 + 51*u**2 - 30*u - 3. Let r(y) = 4*i(y) - 3*p(y). Factor r(w).
2*w*(w + 6)*(5*w - 3)
Let s(y) be the third derivative of 2*y**7/105 + 13*y**6/12 + 16*y**5/15 + 124*y**2. Let s(r) = 0. Calculate r.
-32, -1/2, 0
Suppose 3*x - 3 = j + 4, 5*j + 17 = -3*x. Let t be (-15)/(-3)*(-6)/(-15)*x. Determine k, given that -1/9*k**t - 4/9*k - 4/9 = 0.
-2
Let v = -417 + 11263/27. Let n(u) be the third derivative of -2*u**2 + 0 + 1/27*u**4 + 0*u - v*u**3 - 1/270*u**5. Determine q so that n(q) = 0.
2
Suppose -169 - 83 = -4*u - 4*r, 5*r - 199 = -3*u. Let m = u + -55. Find p such that 0 + 1/4*p**4 - 1/4*p**2 + 0*p + 1/4*p**5 - 1/4*p**m = 0.
-1, 0, 1
Let i(c) = -1080 + c**2 - 332*c - 23*c - 31*c**2 + 30*c. Let y(x) = -5*x**2 - 54*x - 180. Let s(u) = -6*i(u) + 35*y(u). Factor s(k).
5*(k + 6)**2
Let q be (-64)/(-120)*3/(14*3). Let c(k) be the second derivative of -3/25*k**6 + 0 + 0*k**2 - 1/25*k**5 - 2/15*k**3 + q*k**7 - 6*k + 3/10*k**4. Solve c(x) = 0.
-1, 0, 1/4, 1, 2
Suppose -25 = -c + r, -2*r = -6*c + 2*c + 108. Let i be (4 - (-2 - c/(-5)))*6. Factor -2*z**3 + 0 + i*z**4 + 2/5*z**2 + 2/5*z.
2*z*(z - 1)**2*(3*z + 1)/5
Let s(q) be the second derivative of q**4 + 0 - 2*q**3 - 1/5*q**5 - q + 2*q**2. What is x in s(x) = 0?
1
Let t(h) be the first derivative of -3*h**5/20 + 33*h**4/8 - 141*h**3/4 + 165*h**2/2 - 75*h - 93. Factor t(j).
-3*(j - 10)**2*(j - 1)**2/4
Let w be -1*((-30)/(-42) + 1 + (-2 - 0)). Factor w*c**3 + 0*c - 4/7*c**2 + 0.
2*c**2*(c - 2)/7
Let f(b) be the first derivative of b**7/560 - b**6/48 + 3*b**5/40 - 17*b**3/3 + 13. Let v(d) be the third derivative of f(d). Suppose v(n) = 0. Calculate n.
0, 2, 3
Let s(p) = 10*p**2. Let w(a) = a**3 + 6*a**2 - 8*a - 1. Let d be w(-7). Suppose -5*z - 36 = 69. Let x(b) = 3*b**2. Let n(v) = d*s(v) + z*x(v). Solve n(g) = 0.
0
Let y(x) be the first derivative of x**8/9240 + x**7/2310 - x**6/660 + 3*x**3 - 3. Let v(t) be the third derivative of y(t). Factor v(d).
2*d**2*(d - 1)*(d + 3)/11
Let r(g) be the third derivative of g**5/180 - g**4/24 - 2*g**3/9 + g**2 + 8. Factor r(p).
(p - 4)*(p + 1)/3
Let y be -3*6/(-9) - 130/70. Suppose 0*u + 0 - y*u**2 = 0. Calculate u.
0
Let n be 1525/(-122) - (-14 + 1). Find j such that 1/2*j**4 + 0*j + n*j**3 - 1/2*j**2 - 1/2*j**5 + 0 = 0.
-1, 0, 1
Let h(g) be the first derivative of g**6/2700 - g**5/180 + g**4/45 + 2*g**3/3 + 17. Let j(n) be the third derivative of h(n). Solve j(x) = 0 for x.
1, 4
Let k(o) be the second derivative of 0 - 11/30*o**5 + 4/45*o**6 - 1/126*o**7 + 7/9*o**4 - 17/18*o**3 + 2/3*o**2 + 6*o. Factor k(s).
-(s - 4)*(s - 1)**4/3
Let t(w) = w**2 - 26*w + 164. Let g be t(10). Let v(s) be the second derivative of 1/80*s**5 + 1/12*s**3 + 0*s**2 + 7*s + 0 + 1/16*s**g. What is m in v(m) = 0?
-2, -1, 0
Let i(q) be the second derivative of 0*q**2 + 1/36*q**3 - 11/80*q**5 + 43*q + 2/63*q**7 + 0 - 2/45*q**6 + 1/144*q**4. Suppose i(c) = 0. Calculate c.
-1, -1/4, 0, 1/4, 2
Let n = -1/1705 + 8549/40920. Let j(z) be the second derivative of n*z**3 + 0 + 1/8*z**2 - 3*z + 1/12*z**4. What is m in j(m) = 0?
-1, -1/4
Let u(b) be the third derivative of 2*b**7/105 - 4*b**6/5 - 36*b**5/5 - 56*b**4/3 - 3*b**2 + 214*b. Let u(z) = 0. What is z?
-2, 0, 28
Let l(h) be the first derivative of -h**4/30 + 2*h**3/5 - 9*h**2/5 + 7*h + 11. Let n(q) be the first derivative of l(q). What is i in n(i) = 0?
3
Suppose 0 = 4*d + 8 - 24. Suppose d = h - 1. Find q, given that 4*q + 2*q**3 - 6*q**3 + 1 + 4*q**2 - h = 0.
-1, 1
Let l(s) = -s**3 + 7*s**2 - 9*s - 3. Let z be l(5). Let t(b) be the first derivative of 0*b - 4/9*b**z - 8/27*b**3 + 1 - 1/18*b**4. Find p, given that t(p) = 0.
-2, 0
Let f = 6044 + -12085/2. Suppose 0 = -0*m + m + x - 2, 0 = -m + 2*x + 11. Suppose 0 + 3/2*n**2 + 0*n**3 + 3/4*n - 3/4*n**m - f*n**4 = 0. What is n?
-1, 0, 1
Suppose 22*r = 23*r. Let o(d) be the first derivative of -1/10*d**4 + 0*d**3 + 2 + 0*d**2 + r*d. Factor o(j).
-2*j**3/5
Let u(v) be the second derivative of 5*v**7/189 - 19*v**6/135 + v**5/90 + 31*v**4/54 + 2*v**3/9 + 613*v. Find j such that u(j) = 0.
-1, -1/5, 0, 2, 3
Let v be ((-6)/84)/(1/4202). Let o = v - -301. Factor o*y**3 + 2*y**5 + 0*y + 24/7*y**4 - 4/7*y**2 + 0.
2*y**2*(y + 1)**2*(7*y - 2)/7
Let j(d) be the third derivative of d**8/4480 - d**7/840 + d**6/720 + 5*d**3/3 + 7*d**2. Let x(s) be the first derivative of j(s). Factor x(k).
k**2*(k - 2)*(3*k - 2)/8
Suppose -2 = -5*y + 23. Suppose -p = 3 - y. Factor 5 - m**p - 1 - 2 - m.
-(m - 1)*(m + 2)
Let p = 26981 - 26979. What is s in -224/3*s - 4/3*s**5 - 172/3*s**3 - 44/3*s**4 - 292/3*s**p - 64/3 = 0?
-4, -1
Factor 1/3*j**2 + 3*j + 8/3.
(j + 1)*(j + 8)/3
Factor 165*c**2 - 256*c**2 + 171*c**2 - 4*c + 64*c**2.
4*c*(36*c - 1)
Let c be 21/(-2)*((-51)/(-9) - 3). Let m be 4/(-6)*3 - 63/c. Let 1/4*o - m*o**3 + 0*o**2 + 0 = 0. Calculate o.
-1, 0, 1
Let 2621*s - 36229 - 3*s**2 - 1864*s - 1585*s - 20903 = 0.