 18/7*x**v + 40/7*x - 8/7 + 24/7*x**5 + 26/7*x**4 = 0.
-2, -1, 1/4, 2/3, 1
Let z(p) = 102*p**2 + 168*p + 75. Let d(a) = 101*a**2 + 166*a + 75. Let o(i) = 6*d(i) - 7*z(i). Factor o(x).
-3*(6*x + 5)**2
Let u(g) = 17*g**3 + 29*g**2 - 101*g - 32. Let i(n) = 50*n**3 + 88*n**2 - 304*n - 96. Let s(l) = 3*i(l) - 8*u(l). Factor s(h).
2*(h - 2)*(h + 4)*(7*h + 2)
Let d(h) be the second derivative of h**5/12 - 5*h**4/24 + 11*h**2/2 - 4*h. Let s(w) be the first derivative of d(w). Suppose s(c) = 0. Calculate c.
0, 1
Determine f so that 625*f - 5*f**4 - 250*f**2 + 1/5*f**5 - 625 + 50*f**3 = 0.
5
Let c be (-55)/(-3) + 1 + 4/6. Factor -7*b - c*b**2 + 15*b**2 + 22*b.
-5*b*(b - 3)
Let w be 51/(-9) + 70/42. Let i(g) = -9*g**2 - 36*g + 3. Let l be i(w). Factor 0*k**2 + 0 + 0*k + 2/7*k**l.
2*k**3/7
Let c(l) be the first derivative of -5*l**3/3 + 35*l**2/2 - 30*l + 652. Factor c(s).
-5*(s - 6)*(s - 1)
Let c(b) = 14*b**2 - 31*b + 9. Suppose -4*d + 13 = 1. Let u(t) = -d*t + 1 + 5*t - t + 0*t. Let m(w) = c(w) - u(w). Factor m(r).
2*(r - 2)*(7*r - 2)
Suppose 2*i + 3*h + 9 = 20, -2*i = h - 13. Let u be i/(-35) - 46/(-30). Solve -2/3*y + u*y**4 + 2/3*y**5 - 4/3*y**2 + 0*y**3 + 0 = 0 for y.
-1, 0, 1
Suppose 3*r - 6 - 6 = 0. Suppose 0 = 5*j + v - 26, 11 = 2*j + 5*v - r. Factor -j*k**4 - 4*k**2 + 14*k - 8*k - 8*k**3 - 4*k + 3*k**2.
-k*(k + 1)**2*(5*k - 2)
Factor 908*x**3 + 0 - 7095/2*x**2 - 1089*x - 56*x**4.
-x*(4*x - 33)**2*(7*x + 2)/2
Suppose 82*w + 20 = 81*w. Let b be 32/(-252) + (w/14 - -2). Solve 2/9*f**2 + 2/9 - b*f = 0 for f.
1
Factor 5*v**4 + 105*v**2 - 77*v + 55*v**3 - 110 - 120*v**2 - 98*v.
5*(v - 2)*(v + 1)**2*(v + 11)
Let r be (-3 - -4) + (-33 - -2). Let g = r + 121/4. Determine y, given that -g*y**2 + 0 + 0*y + 1/4*y**3 = 0.
0, 1
Let i = 47015 - 47013. Solve -11/3*p**3 + 4/3*p**5 + 0 + p**i + 8/3*p**4 + 0*p = 0 for p.
-3, 0, 1/2
Let m(r) be the third derivative of r**7/315 - r**6/15 + 11*r**5/90 - 8*r**2 - 2*r. Determine z, given that m(z) = 0.
0, 1, 11
Let o(i) be the second derivative of -i**7/294 - i**6/105 + 3*i**5/140 + i**4/21 - 2*i**3/21 - 252*i. Let o(n) = 0. Calculate n.
-2, 0, 1
Let b(m) be the third derivative of m**6/120 - 23*m**5/60 + 11*m**4/12 - m**2 - 158*m. Find z such that b(z) = 0.
0, 1, 22
Factor -24*p**2 - 24*p**4 - 24*p**2 + 52*p**3 + 513*p**5 - 509*p**5 + 16*p.
4*p*(p - 2)**2*(p - 1)**2
Let i = 535 + -776. Let y be i/(-9) - 10/(-45). Suppose 88*g**3 + 8 - 56*g + 24*g**3 + 66*g**2 + 5*g**4 + y*g**4 = 0. Calculate g.
-2, 1/4
Suppose -y - 4 = 0, -z + 3*z - 5*y = -246. Let n = z + 136. Factor -9/2*j + 3/2 - 9/2*j**4 + 3/2*j**5 + n*j**2 + 3*j**3.
3*(j - 1)**4*(j + 1)/2
Factor -1609*z**2 - 192 + 11*z + 1606*z**2 + z + 36*z.
-3*(z - 8)**2
Let p(q) = -q**3 - 3*q**2 - 3*q - 7. Let u be p(-3). Factor 10*l + 5*l**u + 3*l**2 - 13*l**2.
-5*l*(l - 2)
Let i be 87/319 - 6/22. Let m(r) be the third derivative of 1/150*r**5 + i*r - 6*r**2 - 1/60*r**4 + 0 + 0*r**3. Factor m(j).
2*j*(j - 1)/5
Factor -14/5*k**2 - 12/5*k + 2/5*k**4 + 0 + 0*k**3.
2*k*(k - 3)*(k + 1)*(k + 2)/5
Let a(j) be the first derivative of -j**3/6 - 7*j**2 + 77. Factor a(o).
-o*(o + 28)/2
Factor 3/2*k**2 - 21 - 15/2*k.
3*(k - 7)*(k + 2)/2
Let t(q) be the second derivative of q**7/14 + 3*q**6/10 - 21*q**5/20 - 11*q**4/4 + 3*q**3 + 12*q**2 - 171*q. Let t(c) = 0. What is c?
-4, -1, 1, 2
Let q(a) = -4*a + 6 + 0*a + 9*a + a**2. Let y be q(-4). Factor -3*i**4 + 4*i**3 - y*i**5 + 7*i**4 - 6*i**3.
-2*i**3*(i - 1)**2
Let z be 3/1 + 3401/(-1140). Let q(b) be the third derivative of 0*b + 13/600*b**6 + z*b**4 + 5*b**2 + 0 - 2/525*b**7 + 0*b**3 - 11/300*b**5. Factor q(v).
-v*(v - 2)*(v - 1)*(4*v - 1)/5
Let y = 107/285 + -13/38. Let k(g) be the first derivative of -1/12*g**2 - 1/6*g**3 - 1/8*g**4 - y*g**5 + 0*g + 3. Factor k(m).
-m*(m + 1)**3/6
Let g(h) be the second derivative of 0*h**2 + 0 + 9/80*h**5 + 1/10*h**6 + 1/4*h**3 - 9/16*h**4 + 12*h. Let g(q) = 0. Calculate q.
-2, 0, 1/4, 1
Suppose -3*f + 4*v = f, 4*f - v - 9 = 0. Suppose -2*a = 4*k - 16, 0*a + a + f*k = 12. Factor 1/8*m**2 + 1/8*m**3 + 0*m + a.
m**2*(m + 1)/8
Let y(o) = -o**2 + 39*o - 64. Let r be y(28). Let f = r + -973/4. Factor s**2 - 7/4*s + f.
(s - 1)*(4*s - 3)/4
Let p(t) be the second derivative of 1/4*t**4 + 0*t**2 + 25*t - 2/9*t**3 + 0 + 1/90*t**6 - 1/10*t**5. Factor p(s).
s*(s - 4)*(s - 1)**2/3
Suppose -4*t + 265 = 253. Factor -3/4*i**t - 3/4*i**4 - 1/4*i**2 + 0 - 1/4*i**5 + 0*i.
-i**2*(i + 1)**3/4
Let z(o) = 4*o**3 - 40*o**2 + 16*o + 24. Let b(t) = t**2 - 1. Suppose -6*k = -67 + 211. Let x(r) = k*b(r) - z(r). Factor x(d).
-4*d*(d - 2)**2
Let u = 170 + -119. Let o = u - 49. Factor -4/9*k**o - 2/9*k**5 - 2/9*k + 2/9 + 2/9*k**4 + 4/9*k**3.
-2*(k - 1)**3*(k + 1)**2/9
Solve 0*z**4 + 0*z + 0*z**2 - 1/4*z**5 + 0 + 0*z**3 = 0 for z.
0
Let v be -3*1*(1 - 2). Let s be 7/((-14)/(-6)) + 0. Determine u, given that 3 + 2*u**2 + 2*u**4 - s - 4*u**v = 0.
0, 1
Let p(a) = -2*a**2 + 106*a + 129. Let i(o) = -o**2 + 71*o + 87. Let k(v) = -7*i(v) + 5*p(v). Factor k(n).
-3*(n - 12)*(n + 1)
Let j(l) be the third derivative of 0 - 1/175*l**7 - 4*l**2 + 0*l**3 + 0*l - 1/150*l**5 + 1/60*l**6 - 1/60*l**4. Let j(v) = 0. What is v?
-1/3, 0, 1
Let u be -10 + (4 - -12) - 6/4. Factor -3/2*q + 0 + 9/4*q**4 + u*q**2 - 39/8*q**3 - 3/8*q**5.
-3*q*(q - 2)**2*(q - 1)**2/8
Let z(m) be the first derivative of -2*m**5/5 + 24*m**4 - 92*m**3/3 - 48*m**2 + 94*m + 206. Factor z(d).
-2*(d - 47)*(d - 1)**2*(d + 1)
Factor -52/9*f**3 + 0 + 16/3*f**2 + 8/3*f**4 - 4/9*f**5 - 16/9*f.
-4*f*(f - 2)**2*(f - 1)**2/9
Suppose 3*u - 8 = 1. Let 6*b**u - 2*b**3 - 9 + 9 - 4*b = 0. What is b?
-1, 0, 1
Let d(s) = 15*s**3 - 207*s**2 + 63*s + 384. Let c(i) = -i**3 + 13*i**2 - 4*i - 24. Let a(x) = 33*c(x) + 2*d(x). Factor a(o).
-3*(o - 4)*(o - 2)*(o + 1)
Suppose 7*o - 2*o = -2*g + 13, g - o = 10. Suppose -3*d = 2*a - g, 0*a + 12 = -4*a. Factor -3 + d*n**3 - n**3 + 12*n**4 + 3.
4*n**3*(3*n + 1)
Let u(z) be the first derivative of -z**8/2800 + z**7/700 - z**6/600 + 11*z**3/3 - 7. Let l(r) be the third derivative of u(r). Factor l(g).
-3*g**2*(g - 1)**2/5
Let t(j) = -2*j**3 - 36*j**2 - 18*j + 44. Let q(o) = o**3 - 2*o**2 - o - 2. Let m(f) = -3*q(f) + t(f). Factor m(k).
-5*(k - 1)*(k + 2)*(k + 5)
Suppose 2*l = -4*b - 10, 17 - 22 = -2*b + l. Let w(h) be the second derivative of 0 + 3/10*h**5 + 1/15*h**6 - 10*h + 0*h**2 + b*h**3 + 1/3*h**4. Factor w(v).
2*v**2*(v + 1)*(v + 2)
Let d(v) be the second derivative of v**7/105 + v**6/15 - 9*v**5/50 - 13*v**4/30 + 28*v**3/15 - 12*v**2/5 - 912*v. Factor d(o).
2*(o - 1)**3*(o + 2)*(o + 6)/5
Let 0*q + 3/5*q**4 - 3/5*q**2 + 0 + 0*q**3 = 0. Calculate q.
-1, 0, 1
Let k = 2437/1839 + 5/613. Factor 2/3*y**5 - 4/3 - 4/3*y**3 - 16/3*y**2 + k*y**4 - 14/3*y.
2*(y - 2)*(y + 1)**4/3
Let n(t) be the first derivative of 25*t**3/3 - 215*t**2/2 - 90*t + 159. Factor n(w).
5*(w - 9)*(5*w + 2)
Suppose -81 + 401 = 64*s. Determine m, given that -2/19*m**s + 0*m + 0 + 2/19*m**3 + 2/19*m**4 - 2/19*m**2 = 0.
-1, 0, 1
Let o(w) be the second derivative of -w**7/3780 - w**6/1080 + 3*w**4 - 18*w. Let a(m) be the third derivative of o(m). Let a(j) = 0. What is j?
-1, 0
Let u(m) be the second derivative of 0 + 9*m - 1/80*m**6 + 1/40*m**5 + 0*m**3 + m**2 + 0*m**4. Let y(i) be the first derivative of u(i). Factor y(q).
-3*q**2*(q - 1)/2
Let u(p) be the third derivative of 7*p**5/60 - 13*p**4/4 + 11*p**3/6 - 2*p**2 - 100*p. Factor u(k).
(k - 11)*(7*k - 1)
Let d be ((-108)/(-30))/((-4)/(-10)). Let f(j) = j**2 - 10*j + 11. Let s be f(d). Find u such that -3*u - 15 - 11*u**2 + 5*u**2 - 7*u + 11*u**s = 0.
-1, 3
Let y = 56 + -54. Factor -97*u**y - 56*u + 42*u - 23*u**2 - 61*u - 10 - 55*u**3.
-5*(u + 1)**2*(11*u + 2)
Let d(k) be the second derivative of k**5/80 - k**4/4 + 5*k**3/6 - 20*k + 1. Factor d(t).
t*(t - 10)*(t - 2)/4
Find w, given that 615*w**2 + 248 - 92*w**2 - 256*w**2 - 30*w**3 + 2*w**3 + 1108*w + 565*w**2 = 0.
-1, -2/7, 31
Let k(y) be the second derivative of -y**5/60 + 19*y**4/36 - 32*y**3/9 + 10*y**2 + 244*y. Factor k(j).
-(j - 15)*(j - 2)**2/3
Let d(l) be the first derivative of -98*l**5/5 - 21*l**4/5 + 24*l**3/5 + 8*l**2/5 + 23. Factor d(y).
-2*y*(5*y - 2)*(7*y + 2)**2/5
Let n(t) be the first derivative of t**6/15 + 62*t**5/5 + 1247*t**4/2 + 7114*t**3/3 + 3496*t**2 + 11552*t/5 