k) + 2*u(k). Solve j(h) = 0 for h.
-1, 0, 2, 3
Suppose -12 = 2*j - 6*j. What is h in -h**3 - h**4 + 3*h**3 + 3*h**2 + h**5 + 2*h - 5*h**j - 2*h**2 = 0?
-1, 0, 1, 2
Let i(s) be the third derivative of s**5/300 - 11*s**4/120 - 23*s**2. Find w such that i(w) = 0.
0, 11
Suppose 16 = 4*v - 12*v. Let r be 6/45*(-12)/v. Factor 14/5*f**2 + 0 + r*f + 2*f**3.
2*f*(f + 1)*(5*f + 2)/5
Let d = 635/126 + -83/18. Find s, given that -2/7*s**2 + 0 + d*s**3 + 0*s**4 + 0*s - 1/7*s**5 = 0.
-2, 0, 1
Let o(l) be the first derivative of -l**5/30 - 3*l**4/16 - 5*l**3/12 - 11*l**2/24 - l/4 + 46. Factor o(f).
-(f + 1)**3*(2*f + 3)/12
Let z(m) = m**3 + 41*m**2 + 366*m + 58. Let b be z(-28). Let 125/2*u**5 + 30*u**3 + 0*u - 4*u**b + 0 - 75*u**4 = 0. Calculate u.
0, 2/5
Suppose -4*a = -0*a - 24. Let n be 3 - a - (-51)/15. Suppose -2/5*q**4 + 0*q + 0 - 2/5*q**5 + n*q**3 + 2/5*q**2 = 0. What is q?
-1, 0, 1
Let d(a) be the third derivative of -a**6/720 + a**5/36 - a**4/12 - 2*a**3 - a**2 - 177. Find k such that d(k) = 0.
-2, 6
Let v(q) be the second derivative of q**6/45 + q**5/10 - q**4/18 - q**3/3 + q + 175. Factor v(g).
2*g*(g - 1)*(g + 1)*(g + 3)/3
Let h(s) be the third derivative of s**8/168 - s**7/105 - s**6/20 + s**5/30 + s**4/6 + 3*s**2 + 8*s. Find b such that h(b) = 0.
-1, 0, 1, 2
Let x(f) be the third derivative of -2*f**7/525 + f**6/75 - f**5/75 - 2*f**2 - 46*f. Solve x(y) = 0 for y.
0, 1
Factor 2/3*j**3 - 8*j**2 - 100/3 + 30*j.
2*(j - 5)**2*(j - 2)/3
Suppose -2 = -2*p, -5*w + p = -2*w + 505. Let i be w/(-49) - 3/7. Solve 2*r**2 + 2*r**4 + 0*r**4 - 30*r - 2*r**i + 32*r - 4*r**2 = 0 for r.
-1, 0, 1
Let t(r) be the first derivative of r**5/20 + 3*r**4/16 - 9*r**3/4 - 59*r**2/8 - 15*r/2 + 81. Determine u so that t(u) = 0.
-6, -1, 5
Let l = 597 + -1789/3. Suppose l*v + 2/15*v**4 - 2/5*v**2 - 4/15 - 2/15*v**3 = 0. What is v?
-2, 1
Let j(c) = c**2 - 5*c + 6. Let s be j(4). Solve -g**2 + 7*g**s - g**3 - g**2 - 4*g**3 = 0.
0, 1
Let h be (0*10/(-80))/(-4). Find u, given that h + 4/7*u**5 - 4/7*u**4 + 4/7*u**2 + 0*u - 4/7*u**3 = 0.
-1, 0, 1
Suppose 56 - 10*c**2 - 66 - 6*c**5 + 11*c - 20*c**4 + 14*c - 20*c**3 + 40*c**4 + c**5 = 0. Calculate c.
-1, 1, 2
Let l(j) be the second derivative of -j**7/28 + 153*j**6/20 - 23409*j**5/40 + 132651*j**4/8 + 286*j - 1. Factor l(u).
-3*u**2*(u - 51)**3/2
Let h = 451 - 447. Let w = -416 - -871/2. Determine g so that 6*g**5 + w*g**h + 0 - 24*g**2 + 9/2*g**3 - 6*g = 0.
-2, -1/4, 0, 1
Let u be (9/30)/((-57)/(-76) + 0). Find o such that -u*o + 1/5*o**2 + 0 = 0.
0, 2
Suppose 18*b = -13*b + 8*b + 92. Factor 0 + 0*r + 2/7*r**2 - 11/7*r**3 + 16/7*r**b - r**5.
-r**2*(r - 1)**2*(7*r - 2)/7
Factor 2/11*w**3 + 32/11*w + 0 + 20/11*w**2.
2*w*(w + 2)*(w + 8)/11
Let x(o) = 128*o - 1405. Let g be x(11). Let 1/2 + 1/8*k**4 + 3/4*k**g + 3/2*k + 13/8*k**2 = 0. Calculate k.
-2, -1
Let a(m) = -3*m**2 + 64*m - 4. Let p(f) = f - 1. Let b(h) = a(h) - 4*p(h). Let b(j) = 0. Calculate j.
0, 20
Let m = 61 + 25. Let r = m - 427/5. Factor 0 - 3/5*v - r*v**2.
-3*v*(v + 1)/5
Factor -15*i**2 + 15*i**2 + 2*i**2 + 1 - 30*i - 1.
2*i*(i - 15)
Solve -544*t + 276*t + 278*t + 5*t**5 + 5*t**4 - 5*t**2 - 15*t**3 = 0 for t.
-2, -1, 0, 1
Let u(q) be the third derivative of -11*q**6/240 + 97*q**5/120 - 35*q**4/24 - 4*q**3/3 + 723*q**2. Factor u(d).
-(d - 8)*(d - 1)*(11*d + 2)/2
Factor 96*d - 9*d**3 + 3*d**5 + 12*d**4 - 120*d - 42*d**2 + 7 - 7.
3*d*(d - 2)*(d + 1)**2*(d + 4)
Let b be (-6)/4 + (-11)/(-22). Let w be 15/(-3 - -8) - b. Let -18*p - 5*p**3 + 23*p + 16*p**4 - p**w - 25*p**2 + 10 = 0. Calculate p.
-1, -2/3, 1
Let w(x) be the second derivative of x**6/60 + 7*x**5/40 + 11*x**4/24 + 5*x**3/12 + 70*x + 2. Factor w(q).
q*(q + 1)**2*(q + 5)/2
Let m(u) be the second derivative of u**9/15120 + u**8/2240 + u**7/840 + u**6/720 + 3*u**4/4 - 15*u. Let w(v) be the third derivative of m(v). Factor w(b).
b*(b + 1)**3
Suppose -k - 3 - 1 = 0. Let o be (10/(-15))/(k/18). Factor -3*p**o - 1 + 6*p - 2 + 3*p**4 - 3*p**3.
3*(p - 1)**3*(p + 1)
Suppose -a = 2*t - 4, 51 = -5*a + 71. Factor 2/5*m + t - 6/5*m**2 - 2/5*m**4 + 6/5*m**3.
-2*m*(m - 1)**3/5
Suppose -h - 30 = -2*r, 3*h - 54 = r - 4*r. Suppose 11 + r*j + 4 + j**2 - 6*j - 6*j**2 = 0. Calculate j.
-1, 3
Find v, given that -v**5 - 21*v**2 + 14*v**3 - 45*v**3 - 909*v**4 + 898*v**4 = 0.
-7, -3, -1, 0
Let v(n) = 4 + n**2 - 6*n**2 + 28*n + 9*n**2. Let j(d) = d. Let a(f) = 20*j(f) - v(f). Find m such that a(m) = 0.
-1
Let x(v) be the first derivative of -v**4/14 + 110*v**3/7 - 9075*v**2/7 + 332750*v/7 - 440. Factor x(j).
-2*(j - 55)**3/7
Let w(u) be the third derivative of -13*u**2 + 0 - 64/39*u**3 - 4/39*u**4 - 1/390*u**5 + 0*u. Factor w(z).
-2*(z + 8)**2/13
What is c in -92/17*c**2 + 66/17*c + 60/17*c**3 - 18/17 + 2/17*c**5 - 18/17*c**4 = 0?
1, 3
Let w(q) be the third derivative of -5/6*q**4 + 0 + 1/36*q**5 - 30*q**2 + 0*q + 10*q**3. Let w(n) = 0. What is n?
6
Suppose 108*o - 99*o = 0. Let k(y) be the third derivative of 1/330*y**5 - 1/132*y**4 - 10*y**2 + 0*y + o + 0*y**3. Factor k(w).
2*w*(w - 1)/11
Let k be 3298/(-12) + (1 - (-7)/(-6)). Let w = 1387/5 + k. Suppose 0 + 6/5*z**2 + 4/5*z + 12/5*z**5 - 2*z**4 - w*z**3 = 0. Calculate z.
-2/3, -1/2, 0, 1
Let k = 10 + -10. Suppose 10*f - 5*f - 45 = k. Factor -2 - 8 - 6*r**3 + 5*r**2 + 4*r**2 + 4 + f*r.
-3*(r - 2)*(r + 1)*(2*r - 1)
Let w(t) be the third derivative of -t**5/90 + 3*t**4/2 - 81*t**3 + 47*t**2. Factor w(d).
-2*(d - 27)**2/3
Let c(p) be the second derivative of -p**6/120 - p**5/40 + 7*p**3/6 - 6*p. Let a(g) be the second derivative of c(g). Factor a(d).
-3*d*(d + 1)
Let t = 429/1405 - 3/562. Let i(m) be the first derivative of 5 + 0*m - 3/5*m**3 + 3/5*m**4 - t*m**2. Factor i(p).
3*p*(p - 1)*(4*p + 1)/5
Let h = 9 + -1. Let w = h - -3. Find k such that 14*k**5 + w*k**4 - 4*k**2 - k**4 - 14*k**3 - 6*k**4 = 0.
-1, -2/7, 0, 1
Let a(u) be the third derivative of u**5/100 - 49*u**4/4 + 12005*u**3/2 + 14*u**2 - 8*u. Find v, given that a(v) = 0.
245
Let u(h) be the second derivative of 3*h**5/160 + h**4/32 - 129*h. Factor u(c).
3*c**2*(c + 1)/8
Factor 0*c + 16/7*c**2 + 31/7*c**3 - 1/7*c**5 + 2*c**4 + 0.
-c**2*(c - 16)*(c + 1)**2/7
Let f(d) = -d**3 + 2*d**2 - 9*d + 3. Let p(y) = 2*y**3 - 4*y**2 + 14*y - 4. Let r(v) = -8*f(v) - 5*p(v). What is s in r(s) = 0?
-1, 1, 2
Suppose 0 = -2*b - x + 66, x - 15 + 166 = 5*b. What is v in -8*v**2 + b + 4*v**2 - 257 - 30 - 64*v = 0?
-8
Let f(n) be the third derivative of 2*n**7/105 + n**6/10 + n**5/15 - n**4/2 - 4*n**3/3 + 12*n**2 + 4. What is o in f(o) = 0?
-2, -1, 1
Let c(f) = f**2 - 13*f + 25. Let q be c(11). Let k = q + 2. Find x, given that 2*x + 25/2*x**k + 55*x**4 + 141/2*x**3 + 22*x**2 + 0 = 0.
-2, -1/5, 0
Let o(u) be the second derivative of 7*u**5/15 - 25*u**4/3 - 44*u**3/9 + 13*u. Suppose o(r) = 0. Calculate r.
-2/7, 0, 11
Let s = -13319 - -13322. Determine v, given that -8/9*v**2 + 2/3*v + 2/9*v**s + 0 = 0.
0, 1, 3
Let f(m) be the second derivative of m**5/22 + m**4/3 + 23*m**3/33 + 6*m**2/11 - 9*m - 14. Factor f(x).
2*(x + 1)*(x + 3)*(5*x + 2)/11
Factor -1796 + 1792 - 3*q**2 + q**2 - 6*q.
-2*(q + 1)*(q + 2)
Let z = -4 + -20. Let i = 170/7 + z. Factor 6/7*j**2 - i*j**3 + 0 - 4/7*j.
-2*j*(j - 2)*(j - 1)/7
What is u in 800*u**2 + 12*u - 3*u**3 + 6*u**3 - 4 + 803*u**2 - 2413*u**2 + 799*u**2 = 0?
2/3, 1, 2
Determine a so that 52/7*a - 8/7*a**2 - 24/7 = 0.
1/2, 6
Let d = 9 + -25. Let c = d + 21. Factor -2*x**2 - c*x**2 - 3*x + 0*x.
-x*(7*x + 3)
Let v(x) be the third derivative of -x**5/75 + 53*x**4/15 - 5618*x**3/15 - 80*x**2. Let v(w) = 0. Calculate w.
53
Let y = -914/3 + 2744/9. Let -y - 2/9*k**3 + 2/9*k**2 + 2/9*k = 0. What is k?
-1, 1
Let i(w) be the first derivative of -2*w**5/35 + 2*w**3/21 - 156. Find m such that i(m) = 0.
-1, 0, 1
Let k(n) be the second derivative of n**10/90720 - n**8/20160 + 11*n**4/12 - 19*n. Let w(q) be the third derivative of k(q). Determine f so that w(f) = 0.
-1, 0, 1
Let h(q) be the third derivative of -2*q**7/105 - 2*q**6/15 + 11*q**5/15 - q**4 - 32*q**2 + 1. Factor h(k).
-4*k*(k - 1)**2*(k + 6)
Suppose d - 129 = -3*d - 3*g, g + 117 = 4*d. Determine s so that 11*s - 6 - d*s + 11*s - 2*s**2 = 0.
-3, -1
Let z be 5 + (5 + -8 - 8) + 0 + 8. Solve 0 + 11/2*r + 1/2*r**z = 0 for r.
-11, 0
Let z(v) be the first derivative of -15/4*