 = 5*i - 15, -4*i + 6 = -2*i + 2*w. Let m be (-24)/(-10) - (-8)/(-4). Solve -6/5*a**2 - 2/5*a**i - 6/5*a - m = 0 for a.
-1
Let v be (0 + 4 + -2)*-2. Let h(c) = -2*c**2 - 33*c - 45. Let f(q) = q**2 + 34*q + 45. Let p(j) = v*h(j) - 3*f(j). Find r such that p(r) = 0.
-3
Determine h so that -20*h**2 + 112 - 3*h**4 - 376*h + 18*h**3 + 304*h + h**4 = 0.
-2, 2, 7
Let y(t) be the second derivative of t**7/5880 - t**6/630 + t**5/210 - 25*t**3/6 - 23*t. Let r(u) be the second derivative of y(u). Factor r(v).
v*(v - 2)**2/7
Suppose 304 - 294 = 2*s. Let j be ((-2)/2)/((-1)/2). Let -4*y**j - 9*y - 4 + s*y + 12*y = 0. What is y?
1
Let z(d) = 22*d + 883. Let v be z(-40). Factor -2/3*i**4 - 4/9*i**2 + 10/9*i**v + 0 + 0*i.
-2*i**2*(i - 1)*(3*i - 2)/9
Let f(z) be the first derivative of -125*z**6/2 + 180*z**5 + 315*z**4/2 + 44*z**3 + 9*z**2/2 - 842. Factor f(h).
-3*h*(h - 3)*(5*h + 1)**3
Let p(y) be the third derivative of -y**7/56 + 7*y**6/48 - 5*y**5/12 + 5*y**4/12 + 25*y**2. Let p(s) = 0. What is s?
0, 2/3, 2
Let f be 1*-7 + 0/5. Let m(k) = 6*k**4 - 25*k**3 + 11*k**2 - 13*k + 7. Let j(p) = -4*p**4 + 17*p**3 - 7*p**2 + 9*p - 5. Let x(t) = f*j(t) - 5*m(t). Factor x(c).
-2*c*(c - 1)**3
Let g(w) = -3*w + 11. Let a be g(8). Let b be (52/(-24))/a*2. Suppose -b*j**3 + 0 - 1/3*j**2 + 1/3*j + 1/3*j**4 = 0. What is j?
-1, 0, 1
Let j be 1 + 26/5 + (-176)/(-220). Let p(x) be the first derivative of -j + 9/2*x**4 + 2/3*x**5 + 12*x**2 + 16/3*x + 100/9*x**3. Solve p(h) = 0 for h.
-2, -1, -2/5
Let l be 5/(-10)*194*(-10)/(-14). Let y = l + 70. Determine r so that -3/7*r**4 + 1/7*r**3 + y*r**2 - 1/7*r - 2/7 = 0.
-1, -2/3, 1
Let o(u) be the third derivative of u**5/30 - 5*u**4/6 + 16*u**3/3 + u**2 + 5*u. Determine a so that o(a) = 0.
2, 8
Let z = 1/72 - -323/72. Suppose -5*h - 6*b + 9 = 0, -3*h - 3*b + 2 = -4. Factor h + z*r - 15/2*r**2.
-3*(r - 1)*(5*r + 2)/2
Suppose -4*o - 5*u = 2 + 53, 4*u = 2*o + 34. Let a be ((-4)/16)/(o/100). Factor 0*d**3 + 0*d - 10/3*d**2 + 5/3*d**4 + a.
5*(d - 1)**2*(d + 1)**2/3
Suppose 4*x - 18 = -q, 2 = 3*q + 6*x - 7*x. Let b = -1 + 4. Factor -4*m**2 + q + 2*m**4 + m**b - m**3.
2*(m - 1)**2*(m + 1)**2
Suppose 2*g - 5*q = -2*g - 6, g = 5*q + 6. Let w = 4 + g. Factor -k**3 + 0 + 1/2*k**2 + 1/2*k**4 + w*k.
k**2*(k - 1)**2/2
Let t(s) = 7*s**2 - 102*s + 2704. Let p(g) = -24*g**2 + 305*g - 8112. Let i(z) = -4*p(z) - 14*t(z). Factor i(l).
-2*(l - 52)**2
Let x be (2/(-35))/(3096/(-301)). Let w(u) be the third derivative of 0*u**3 + 0*u + 6*u**2 + 0*u**5 + 1/36*u**4 - x*u**6 + 0. Factor w(k).
-2*k*(k - 1)*(k + 1)/3
Let a(t) = t**3 + t - 3. Let o(z) = -z**4 + 34*z**3 - 93*z**2 + 120*z - 68. Let s(f) = -24*a(f) + 3*o(f). Factor s(c).
-3*(c - 22)*(c - 2)*(c - 1)**2
Factor -3/2*m**3 + 6*m + 0 + 9/2*m**2.
-3*m*(m - 4)*(m + 1)/2
Suppose 0 = 9*z - 8*z - 4. Solve 2*c**5 + 7*c**5 + 4*c**3 - z*c - 11*c**5 + 2*c = 0.
-1, 0, 1
Let z be 5/((-100)/(-136)) - (10 + -13 - -8). Factor 0 + z*q + 3/5*q**2.
3*q*(q + 3)/5
Let v(b) = 2*b - 1. Let n(x) = 2*x - 2. Let a(k) = 3*n(k) - 2*v(k). Let i(s) = s**2 - s + 3. Let y(z) = -6*a(z) - 4*i(z). Factor y(g).
-4*(g - 1)*(g + 3)
Let j(s) = -s**3 - 9*s**2 + 12*s + 20. Let u be j(-10). Suppose 21 = 3*w - 3*z, u = -4*w - 5*z - 16 - 1. Factor 0 + 3/8*k**3 + 1/8*k**4 + 1/8*k + 3/8*k**w.
k*(k + 1)**3/8
Let u(v) = -v**2 - 4*v + 3. Let m be u(-4). Suppose -3*b = 5*s - 227, b - 6*b - 109 = -m*s. Factor 4*l**2 + s + 11*l + 11*l + 21 + 10*l.
4*(l + 4)**2
Let p(v) be the first derivative of 6/11*v**3 - 24/11*v + 0*v**2 + 3/22*v**4 + 8. Factor p(g).
6*(g - 1)*(g + 2)**2/11
Let c(y) be the first derivative of 2*y**6/3 + 2*y**5 - 6*y**4 + 2*y**3/3 + 4*y**2 - 217. Find v, given that c(v) = 0.
-4, -1/2, 0, 1
Let g = 3781 - 18904/5. Suppose -g*d**2 - 2/5*d + 0 = 0. What is d?
-2, 0
Let o(n) be the second derivative of n**5/20 + 59*n**4/4 + 3481*n**3/2 + 205379*n**2/2 + 753*n. Factor o(x).
(x + 59)**3
Let u be -9*(34/9)/(-17). Let r(k) be the second derivative of 0 + 0*k**3 + 0*k**u + 1/10*k**6 - 2*k - 3/10*k**5 + 1/4*k**4. Factor r(w).
3*w**2*(w - 1)**2
Factor -1231*k**3 + 1211*k**3 + 54*k**2 + 10*k**2 + 21*k**2 - 15*k**4 + 30*k.
-5*k*(k - 2)*(k + 3)*(3*k + 1)
Let d be 2/7 + (-13006)/(-98). Let q be (d/(-231) + 4/6)*2. Suppose 0 + q*v + 2/11*v**3 - 4/11*v**2 = 0. Calculate v.
0, 1
Suppose 0*r + 3*r = 297. Let k be 378/r + (-2)/(-11). Factor -u**3 + 3*u**2 + k*u**3 - 3 + 3*u - 6*u.
3*(u - 1)*(u + 1)**2
Suppose 5*q - 4*q - 5 = 0. Suppose u - 2*u = 2*h - 7, -4*u = q*h - 25. Solve 64*a + h - 155*a**3 + 7 + 90*a**2 - 7*a**3 = 0.
-2/9, 1
Let p(v) be the third derivative of -4*v**7/735 + v**6/630 - 2*v**3 + v**2. Let z(k) be the first derivative of p(k). Let z(w) = 0. Calculate w.
0, 1/8
Let q = 259/68 - -50/17. Let u(k) be the second derivative of 1/8*k**4 + 3/2*k**3 + 0 - 6*k + q*k**2. Factor u(t).
3*(t + 3)**2/2
Let n = 31 + -11. Solve -n*p**3 - 3 + 5*p**5 + 10*p**2 + 15*p + 4 - 6 - 5 = 0 for p.
-2, -1, 1
Let i(m) = -8*m**2 + 300*m - 10362. Let t(l) = 15*l**2 - 598*l + 20725. Let u(v) = 11*i(v) + 6*t(v). Factor u(j).
2*(j - 72)**2
Suppose 4*g + 99 = -0*n + n, g = -2*n - 36. Let t = -181/7 - g. Suppose t*y**2 + 2/7*y + 1/7 = 0. Calculate y.
-1
Let h(d) = 7*d + 0*d**2 + 10*d**2 + 20*d - 9*d + 8. Let u(o) = 19*o**2 + 35*o + 16. Let i(n) = -11*h(n) + 6*u(n). Factor i(b).
4*(b + 1)*(b + 2)
Let x be 0 - ((5 - 9) + 4). Let r(o) be the third derivative of 0 + 1/180*o**5 + x*o**3 + 0*o**4 + 0*o + 9*o**2. Solve r(l) = 0.
0
Let s(r) be the first derivative of -4*r**3/3 - 32*r**2 - 240*r + 696. Factor s(k).
-4*(k + 6)*(k + 10)
Let j(i) be the second derivative of -i**9/756 + i**8/210 - i**6/45 + i**5/30 - 5*i**3/3 - 17*i. Let w(m) be the second derivative of j(m). Factor w(u).
-4*u*(u - 1)**3*(u + 1)
Let n(z) be the second derivative of -z**4/15 + 104*z**3/15 + 106*z**2/5 - 27*z. Solve n(a) = 0 for a.
-1, 53
Let w(n) be the third derivative of n**5/330 + 73*n**4/33 + 21316*n**3/33 - 267*n**2. Factor w(z).
2*(z + 146)**2/11
Factor 75*k**2 + 15*k**4 + 18*k**3 - 40 - 9*k**3 + 71*k**3 - 30*k.
5*(k + 1)**2*(k + 4)*(3*k - 2)
Let l be (-74)/(-4) - 13/(-26). Suppose 2*u + 6 = 0, -3*u + 7 = -n + l. Factor 6*i**n + 4*i + 0 + 10*i**2 - 1 + 1.
2*i*(i + 1)*(3*i + 2)
Suppose b = f + 4, -3*f + 5 = b + 1. Let m(h) be the third derivative of 0*h - 1/42*h**4 + 1/210*h**5 + h**2 + f + 1/21*h**3. What is q in m(q) = 0?
1
Let b(o) = 61*o + 490. Let s be b(-8). Solve 0*v**s + 0*v + 0 - 2/5*v**3 - 2/5*v**5 - 4/5*v**4 = 0.
-1, 0
Suppose 22*i**2 + 31 - 18*i**2 + 1 + 104 - 8*i**2 + 132*i = 0. What is i?
-1, 34
Let k = 916/115 - 174/23. Find v, given that -k*v**2 - 4*v - 10 = 0.
-5
Let h(y) be the first derivative of -5*y**6/2 - 16*y**5 - 40*y**4 - 50*y**3 - 65*y**2/2 - 10*y - 82. Let h(f) = 0. What is f?
-2, -1, -1/3
Let o(n) be the first derivative of 4*n**6/3 - 2*n**5/5 - 6*n**4 + 22*n**3/3 - 2*n**2 - 115. Solve o(i) = 0 for i.
-2, 0, 1/4, 1
Let v(z) be the second derivative of -z**6/780 + z**4/156 - 9*z**2/2 - 25*z. Let b(l) be the first derivative of v(l). Determine o, given that b(o) = 0.
-1, 0, 1
Let x = 11 + -11. Let d(v) be the second derivative of -1/3*v**4 + 1/10*v**5 + x*v**3 + 0*v**2 + 0 + 2*v. Determine w, given that d(w) = 0.
0, 2
Let g = -16 + 8. Let w be ((-18)/g + -2)*6 + 0. Factor 2 - w*u**2 + 0*u - 1/2*u**3.
-(u - 1)*(u + 2)**2/2
Suppose -4*c - f + 12 = 0, 3*c + 5*f = 6 + 3. Suppose -4*l = 5*w - 35, -25 = c*w - 4*l - 14. Factor -3/4 + w*v**3 + 3*v - 3/4*v**4 - 9/2*v**2.
-3*(v - 1)**4/4
Suppose 3*v + 0*v - 2*a = -82, v = -5*a + 1. Let l be 8*(-3)/v*4. Factor -l*h + 20 - 2*h**2 - 20.
-2*h*(h + 2)
Let i(p) be the second derivative of p**5/20 + 5*p**4/8 + 25*p**2/2 - 47*p. Let s(t) be the first derivative of i(t). Factor s(l).
3*l*(l + 5)
Let q be ((-2)/(-3))/((-18)/(-243)). Let o be 6 + -6*6/q. Suppose 2*i**2 + 2*i + i**o + i = 0. Calculate i.
-1, 0
Suppose j - 3*o - 12 = -8*o, -3*o - 9 = 0. Factor 81*k + 3*k**3 + j*k**2 + 52 - 30 + 11 + 48.
3*(k + 3)**3
Factor 267*x**2 + 75*x + 32 - 132*x**2 - 132*x**2 + 220.
3*(x + 4)*(x + 21)
Let d(v) = v**2 - 10*v - 4. Let g be d(11). Let b(u) = 0 - 2 - 2 - g*u**2 + 9*u - 3. Let k(n) = -n + 1. Let z(i) = -2*b(i) - 14*k(i). Factor z(o).
2*o*(7*o - 2)
Let n(f) = -f**2 - 22*f - 22. Let w be n(-20). Suppose 0*t + 2*t = w. Factor -6 + j**3 -