-3)/(90/w). What is o in -2/3*o**3 + 2/3 - v*o**2 + 2/3*o = 0?
-1, 1
Let d(t) be the second derivative of t**4/66 - 8*t**3/33 - 20*t**2/11 - 6*t + 12. Factor d(x).
2*(x - 10)*(x + 2)/11
Let g(j) be the third derivative of j**7/2940 - j**6/315 + j**5/105 - 5*j**3/3 - j**2. Let i(f) be the first derivative of g(f). Factor i(k).
2*k*(k - 2)**2/7
Let c = 19 + -15. Let 0*q**4 - 20*q**2 - 24*q + c*q**4 + 36*q + 4*q**3 = 0. Calculate q.
-3, 0, 1
Factor 3/2*c**2 + 54 - 30*c.
3*(c - 18)*(c - 2)/2
Let t = 36 - 34. Factor 80 - 34*z + 5*z**t - 3*z**2 - 6*z + 3*z**2.
5*(z - 4)**2
Let c = 1/130 + 121/1170. Let y(q) be the first derivative of -2/3*q**2 + 10/9*q**3 + c*q**6 - 1/2*q**4 + 0*q - 2/15*q**5 + 4. Solve y(i) = 0 for i.
-2, 0, 1
Let z(q) = -5*q + 6. Let v be z(-1). Suppose 10*x = v*x - 2. Factor m**x - 2/5 + 4/5*m**3 - 7/5*m.
(m - 1)*(m + 2)*(4*m + 1)/5
Let o(s) be the second derivative of -s**8/2640 - s**7/1260 - s**6/1980 - 13*s**4/12 - 14*s. Let g(a) be the third derivative of o(a). Factor g(k).
-2*k*(2*k + 1)*(7*k + 2)/11
Let n(v) be the third derivative of -2/25*v**6 - 1/30*v**4 + 0*v**3 - 13*v**2 - 1/10*v**5 - 11/525*v**7 + 0 + 0*v. Let n(o) = 0. What is o?
-1, -2/11, 0
Let m(t) be the third derivative of -1/90*t**5 + 0*t**3 + 0*t + 41*t**2 + 1/12*t**4 + 0. Factor m(s).
-2*s*(s - 3)/3
Let w(z) be the third derivative of z**6/24 + 4*z**5/3 + 75*z**4/8 - 135*z**3 - z**2 + 114. Factor w(t).
5*(t - 2)*(t + 9)**2
Suppose 2*r - h = 4*r - 10, -5*h + 32 = 4*r. Let f(a) be the first derivative of 0*a**5 + 0*a**2 - 5 + 0*a**4 - 1/24*a**6 + 0*a**r + 0*a. Factor f(d).
-d**5/4
Let z be (-1)/(-15)*((-42)/7)/(-3). Let g(n) be the third derivative of -z*n**5 + 4/3*n**3 + 3*n**2 + 0*n + 0 - 5/4*n**4. Suppose g(k) = 0. Calculate k.
-4, 1/4
Suppose -2*q**5 + 3*q**5 - 2*q**5 + 35*q**4 - q**3 - 37*q**4 = 0. Calculate q.
-1, 0
Let i(n) be the third derivative of 5/12*n**4 + 1/12*n**5 + 0 + 6*n**2 - 5/2*n**3 + 0*n. Determine o so that i(o) = 0.
-3, 1
Let x(u) = u + 12. Let s be x(-10). Solve -18*y + 4*y + s*y**3 + 11*y + 5*y - 4*y**2 = 0.
0, 1
Factor -4/5*c**3 - 32/5*c - 36/5*c**2 + 0.
-4*c*(c + 1)*(c + 8)/5
Factor -132/5*j**3 - 42/5*j + 128/5*j**2 + 48/5*j**4 + 0 - 2/5*j**5.
-2*j*(j - 21)*(j - 1)**3/5
Let u(d) be the first derivative of -d**8/2940 + d**7/735 - d**6/630 - 28*d**3/3 + 5. Let z(o) be the third derivative of u(o). Find g such that z(g) = 0.
0, 1
Let n(g) = 6*g**3 + 243*g**2 + 2583*g + 5832. Let o(s) = -3*s**3 - 121*s**2 - 1292*s - 2916. Let t(u) = 4*n(u) + 9*o(u). Factor t(b).
-3*(b + 3)*(b + 18)**2
Let y(h) be the third derivative of h**9/5040 - h**8/1400 - h**7/200 - h**6/150 - 23*h**3/3 - 39*h**2. Let g(s) be the first derivative of y(s). Factor g(u).
3*u**2*(u - 4)*(u + 1)**2/5
Let l(d) = -12*d - 2. Let a be (2/4)/((-6)/12). Let r be l(a). Suppose -v**2 - 4*v**2 - v**2 - r*v - 4 = 0. What is v?
-1, -2/3
Let k(h) be the second derivative of h**6/5 + 249*h**5/40 + 375*h**4/8 - 583*h**3/4 + 363*h**2/4 - 62*h. Suppose k(f) = 0. Calculate f.
-11, 1/4, 1
Let n(a) be the second derivative of a**6/75 - 8*a**5/25 + 16*a**4/5 - 256*a**3/15 + 256*a**2/5 + 30*a - 4. Factor n(p).
2*(p - 4)**4/5
Let q(c) be the second derivative of -c**6/120 - c**5/40 + c**4/12 + c**3/12 - 3*c**2/8 + 3*c - 20. Factor q(v).
-(v - 1)**2*(v + 1)*(v + 3)/4
Let f(m) be the first derivative of -m**3/3 - 3*m**2/2 + 18*m - 171. Determine k so that f(k) = 0.
-6, 3
Let p(y) = -4*y**5 - 4*y**4 - 8*y**3 - 20*y**2 - 6*y. Let g(h) = h**5 + h**4 - h**3 - h**2 - h. Let s(l) = 12*g(l) + 2*p(l). Find q, given that s(q) = 0.
-2, -1, 0, 3
Let s = -268 - -270. Let g(a) be the first derivative of 3/4*a**4 + 3/2*a**2 - s*a**3 - 7 + 0*a. Factor g(m).
3*m*(m - 1)**2
Let c(x) = -x**2 + 2. Suppose 5*k + q + 3 + 7 = 0, 0 = -k + 3*q - 2. Let n(m) be the third derivative of m**3/2 - m**2. Let w(a) = k*n(a) + 3*c(a). Factor w(o).
-3*o**2
Find f, given that 0 + 3/2*f**3 + 0*f - f**2 - 1/2*f**4 = 0.
0, 1, 2
Let t(z) be the second derivative of -z**4/3 - 14*z**3 - 40*z**2 - 108*z. Find h, given that t(h) = 0.
-20, -1
Let q = -269/168 + 38/21. Let c(k) be the second derivative of q*k**4 + 1/80*k**5 - k**2 + 0 - 1/30*k**6 - 1/6*k**3 + 1/168*k**7 + 3*k. Factor c(t).
(t - 2)**3*(t + 1)**2/4
Let t = -15/2 + 101/14. Let w = t - -20/21. Determine s, given that -w*s**3 - 1/3*s**2 + 2/3*s + 0 + 1/3*s**4 = 0.
-1, 0, 1, 2
Let y = 425/2 + -637/3. Let j(s) be the second derivative of 1/6*s**4 + 4*s + 0 + 0*s**2 - 3/20*s**5 + y*s**3. Factor j(c).
-c*(c - 1)*(3*c + 1)
Let i = -14/25 + 96/175. Let a = 356/525 + i. Determine p, given that 0 + 0*p - a*p**2 = 0.
0
Let l be (-4)/6 - 6/((-72)/(-28)). Let n(j) = -j**4 - 3*j**3 - 6*j**2 + 26*j - 22. Let k(h) = h**4 + h - 1. Let m(g) = l*n(g) - 6*k(g). Factor m(y).
-3*(y - 2)**3*(y + 3)
What is p in 591 - p**3 + 37*p**2 - 75*p - 553 + 2*p**3 - p**2 = 0?
-38, 1
Let r(p) be the third derivative of -p**9/90720 + p**8/10080 + p**7/7560 - p**6/360 + p**5/60 + p**2. Let t(k) be the third derivative of r(k). Factor t(s).
-2*(s - 3)*(s - 1)*(s + 1)/3
Let j(k) = -84*k - 82. Let t be j(-1). Factor -1/5*l**t + 1/5 - 1/5*l + 1/5*l**3.
(l - 1)**2*(l + 1)/5
Let a(p) be the first derivative of p**6/3 - 4*p**5/5 + 4*p**3/3 - p**2 - 71. Factor a(u).
2*u*(u - 1)**3*(u + 1)
Let p(g) be the first derivative of 4*g**3 - 21*g**2/2 - 6*g + 120. Determine n so that p(n) = 0.
-1/4, 2
Let k(u) be the first derivative of -2*u**5/55 + 3*u**4/11 - 16*u**3/33 - 6*u**2/11 + 18*u/11 + 98. What is w in k(w) = 0?
-1, 1, 3
Let u(o) be the second derivative of 45*o**4/16 - 205*o**3/6 + 15*o**2/2 - 359*o. Factor u(j).
5*(j - 6)*(27*j - 2)/4
Let a(j) be the third derivative of -11*j**8/1008 - 2*j**7/63 - 7*j**6/360 + j**5/90 + 18*j**2 - 5. Factor a(q).
-q**2*(q + 1)**2*(11*q - 2)/3
Solve 5*g**3 + g - 6*g**3 - 9*g + 4*g**2 + 5*g**3 = 0.
-2, 0, 1
Let v(x) be the first derivative of 0*x + 1/135*x**5 + 0*x**2 - 1/3*x**3 + 6 + 1/1620*x**6 + 1/27*x**4. Let y(f) be the third derivative of v(f). Factor y(k).
2*(k + 2)**2/9
Let s(f) be the second derivative of -5*f**4/36 + 50*f**3/9 + 27*f. Determine i so that s(i) = 0.
0, 20
Let q(b) = -b - 4 + b**3 + 4. Suppose -x + 6*x + 30 = 0. Let v(a) = 3*a**3 - 6*a. Let g(i) = x*q(i) + v(i). Factor g(y).
-3*y**3
Let f = -12 - -15. Let z(a) = 32*a**4 + a**f + 0*a**3 + 3 - 5 + 3*a**5 - 38*a**4. Let d(m) = -m**3 - 1. Let w(v) = 2*d(v) - z(v). Solve w(g) = 0 for g.
0, 1
Suppose 103 = 5*z + 3*o - 212, 2*z = 2*o + 126. Factor 2*f**2 - 125 - z*f - 8*f**2 + 95.
-3*(f + 10)*(2*f + 1)
Let c be (-94)/1551*-11*1. Factor 4/3*b**2 + 0 + c*b**4 - 2*b**3 + 0*b.
2*b**2*(b - 2)*(b - 1)/3
Factor -2/3*n**2 + 0 - 4/3*n + 2/3*n**3.
2*n*(n - 2)*(n + 1)/3
Let r(f) = -f**3 - f**2 - 11*f - 11. Let v(x) = -12 + 81*x**2 - 83*x**2 + 2*x**3 - 12*x - 4*x**3. Let d(a) = 7*r(a) - 6*v(a). Factor d(h).
5*(h - 1)*(h + 1)**2
Suppose -2*h + 7*h + 71 = 23*i, -3*i + 21 = -3*h. Determine j, given that 0 - 10/7*j**4 + 0*j + 2/7*j**5 + i*j**3 - 6/7*j**2 = 0.
0, 1, 3
Let u(v) be the second derivative of 4/15*v**4 - 2/35*v**7 + 0 + 2/75*v**6 - 3*v + 0*v**2 + 8/25*v**5 + 0*v**3. Suppose u(d) = 0. Calculate d.
-1, -2/3, 0, 2
Suppose 0 = -3*q - 5*m, -q + 5*q - 4*m = 0. Let o(x) be the first derivative of 0*x**2 + q*x**3 + 2 + 1/18*x**4 + 0*x. Let o(c) = 0. What is c?
0
Suppose 0 = -5*t + 67 - 17. Factor -t + 4*q**3 - 45*q**2 + 17*q**3 - q**4 - 2*q**4 + 39*q - 2.
-3*(q - 4)*(q - 1)**3
Let b be (-4)/6 - (-1870)/2040. Determine p so that 0 + 1/4*p**2 + 1/2*p**3 - b*p**4 - 1/2*p = 0.
-1, 0, 1, 2
Let n(f) be the first derivative of f**3/2 + 57*f**2/2 - 117*f/2 - 80. Factor n(p).
3*(p - 1)*(p + 39)/2
Let q(f) = -4*f**3 - 3*f**2 - 4*f + 5. Let m(a) = 2*a**2 + 3*a**3 - 4*a + 0 - 4 + 7*a + 0. Let t(y) = 5*m(y) + 4*q(y). Let t(n) = 0. Calculate n.
-1, 0
Let b be (-4)/(-56) - 9/(-56)*12. Factor -9/4*i**b + 3 + 3/4*i**4 - 3/2*i**3 + 3*i.
3*(i - 2)**2*(i + 1)**2/4
Let r(x) be the third derivative of 0 + 0*x**3 + 0*x**4 + 0*x - 1/840*x**8 + 1/100*x**6 + 0*x**7 - 1/75*x**5 + 5*x**2. Factor r(m).
-2*m**2*(m - 1)**2*(m + 2)/5
Let t(k) be the first derivative of 27 - 2*k - 8/9*k**3 - 1/12*k**4 - 13/6*k**2. What is o in t(o) = 0?
-6, -1
Determine g so that 96/5*g + 4/5*g**3 - 64/5 - 36/5*g**2 = 0.
1, 4
Let f(c) be the first derivative of c**3/3 + 11*c**