(-1 + 3). Let q(s) = -2*s**3 + 2*s - 3. Let h(c) = 1. Let w(o) = 3. Let a(m) = 8*h(m) - 3*w(m). Let u(x) = p*q(x) - 3*a(x). Factor u(g).
-2*g*(g - 1)*(g + 1)
Let r(h) = h + 4. Let m be r(-5). Let z be m + 2 - (-45)/25. Factor 0 - 2*j**4 + 0*j - 4/5*j**2 + z*j**3.
-2*j**2*(j - 1)*(5*j - 2)/5
Factor -3*n**3 - 18*n**4 + 6*n**5 - n**5 + 16*n**5.
3*n**3*(n - 1)*(7*n + 1)
Let t(c) be the first derivative of -c**4/22 + 19*c**3/33 - 6*c**2/11 - 17*c + 12. Let s(h) be the first derivative of t(h). Solve s(d) = 0 for d.
1/3, 6
Let d(v) = -v**2 + 3. Let b be d(0). Suppose -60 = -5*x - 40. Factor 9*l**4 + 0*l**b + x*l**2 - 20*l**3 + 7*l**4.
4*l**2*(l - 1)*(4*l - 1)
Let w(z) = z**3 - z**2 + z + 1. Let f(g) = 5*g**3 - 29*g**2 + 110*g - 102. Let a(s) = -5*f(s) + 30*w(s). Let a(j) = 0. Calculate j.
-27, 2
Suppose 0 = -3*x + 6 + 6. Determine d, given that x*d**2 - 50*d + 54*d + 0*d**2 = 0.
-1, 0
Factor 16/7*k**2 - 20 - 556/7*k.
4*(k - 35)*(4*k + 1)/7
Let a(o) = 3*o**4 + 11*o**3 - 17*o**2 - 85*o - 55. Let j(t) = 8*t**4 + 34*t**3 - 50*t**2 - 254*t - 164. Let r(f) = 14*a(f) - 5*j(f). Factor r(u).
2*(u - 5)**2*(u + 1)**2
Let f = 60 + -102. Let w = 44 + f. Find n such that 9/5*n - 3/5*n**w - 6/5 = 0.
1, 2
Let m = -84 - -438/5. Find v such that -2*v**4 - 2/5*v**5 + 6/5*v - m + 28/5*v**2 - 4/5*v**3 = 0.
-3, -1, 1
Let i(s) be the third derivative of -s**7/8820 - s**6/840 + 2*s**4/3 + 14*s**2. Let k(f) be the second derivative of i(f). Factor k(o).
-2*o*(o + 3)/7
Factor -14*x**3 + 20*x**2 + 11*x**3 + 5*x**3 - 48*x.
2*x*(x - 2)*(x + 12)
Let w(b) be the first derivative of -1/5*b**3 + 1/5*b**4 - 29 - 1/50*b**5 - 2*b**2 - 5/2*b. Find l such that w(l) = 0.
-1, 5
Let i(o) be the first derivative of 29*o**3/15 + 88*o**2/5 + 12*o/5 + 635. Factor i(u).
(u + 6)*(29*u + 2)/5
Suppose -13*c = 54 - 314. Factor -4*b + c*b**3 + 3*b - 15*b**2 - 4*b.
5*b*(b - 1)*(4*b + 1)
Let f(r) be the first derivative of -2*r**3/3 + 6*r**2 - 10*r + 71. Suppose f(b) = 0. What is b?
1, 5
Suppose 6*u = 16*u - 20. What is v in 20*v**u + 10*v**4 - 30*v**4 - 5*v - 151*v**3 + 136*v**3 + 20*v**5 = 0?
-1, 0, 1/2, 1
Factor 15*p + 8*p**2 + 6 - 16/9*p**3.
-(p - 6)*(4*p + 3)**2/9
Let c(z) be the first derivative of -2 + 1/12*z**4 + 0*z + 7/30*z**5 - 1/6*z**2 - 7/18*z**3. Find x, given that c(x) = 0.
-1, -2/7, 0, 1
Suppose 18 = 4*u - r, 5*u - 38 = 15*r - 6*r. Determine s so that 2/3 - 1/3*s**3 + s**u + 1/3*s - 5/3*s**2 = 0.
-1, -2/3, 1
Suppose b = -3*v - 3, -6*v = -5*b - 4*v + 19. Factor -26 - 12*w**2 + 26 + 3*w**b + 9*w.
3*w*(w - 3)*(w - 1)
Suppose 14*h = 8*h + 18. Factor 9*v - 9*v**2 - 5 - 5*v**h + 8*v**3 + 2.
3*(v - 1)**3
Let q(j) be the first derivative of 5*j**3/3 - 325*j**2/2 + 189. Suppose q(n) = 0. What is n?
0, 65
Let q = -244 - -463/2. Let n = 77/6 + q. Factor 0*o + 4/3 + n*o**3 - o**2.
(o - 2)**2*(o + 1)/3
Let l be 6/50*(-260)/(-936). Let s(f) be the third derivative of l*f**5 + 0*f**3 + 0*f - 3*f**2 - 1/12*f**4 + 0. Let s(b) = 0. What is b?
0, 1
Suppose -4*g = -4*s + 20, 0*g - 25 = -5*s + g. Suppose 13 - 5 = 4*t - 4*l, 8 = s*t - 4*l. Factor t + 2/5*r**5 + 2/5*r**3 + 0*r + 0*r**2 + 4/5*r**4.
2*r**3*(r + 1)**2/5
Let q(f) be the first derivative of -f**7/315 + f**6/90 - f**4/18 + f**3/9 - 9*f**2/2 - 7. Let g(a) be the second derivative of q(a). Let g(s) = 0. Calculate s.
-1, 1
Let r(l) be the third derivative of 0 - 39*l**2 - 1/20*l**4 + 0*l - 7/30*l**3 + 1/300*l**5. Determine m so that r(m) = 0.
-1, 7
Let f(t) be the third derivative of -1/70*t**7 + 1/4*t**4 + 5*t**2 + 3/20*t**5 + 0*t**6 + 0*t**3 + 0 + 0*t. Factor f(z).
-3*z*(z - 2)*(z + 1)**2
Let n = 16511 + -16509. What is r in -5 - 5/2*r**n + 15/2*r = 0?
1, 2
Let p(h) = -12*h**4 + 836*h**3 - 36132*h**2 - 7. Let y(b) = 11*b**4 - 838*b**3 + 36131*b**2 + 6. Let a(f) = -6*p(f) - 7*y(f). Determine j so that a(j) = 0.
0, 85
Suppose 2*n = 4*n - u + 1, -3*u + 17 = n. Factor 8 + 4*p**2 + p**n + 2*p**2 - 3*p**2 + 12*p.
4*(p + 1)*(p + 2)
Let o be (-4 - -3)*(-3 - -3). Suppose -z = 2*g - 15, -g - 4*z = -o*z - 4. Factor b + 5*b**2 - 3*b**3 + 3 + 2*b - g*b**2.
-3*(b - 1)*(b + 1)**2
Let 10 - 76*w**3 + 4 + 3 + 3 + 30*w**2 - 16 + 42*w = 0. Calculate w.
-1/2, -2/19, 1
Let l(v) = 20*v**3 - 120*v**2 + 212*v + 16. Let h(f) = -4*f**3 + 24*f**2 - 42*f - 3. Let c(r) = -16*h(r) - 3*l(r). Factor c(s).
4*s*(s - 3)**2
Let m(v) be the third derivative of -v**5/240 - 9*v**4/32 + 29*v**3/12 + 469*v**2. Factor m(h).
-(h - 2)*(h + 29)/4
Let v(h) be the first derivative of h**4/22 - 2*h**3/11 - 9*h**2/11 + 54*h/11 + 45. Factor v(b).
2*(b - 3)**2*(b + 3)/11
Let i(v) be the first derivative of 5*v**3/3 + 50*v**2 - 220*v + 824. Determine c, given that i(c) = 0.
-22, 2
Let j = -887/2 + 1777/4. Solve -1/4*q**2 + 1/2*q + j = 0.
-1, 3
Let q = 128 - -55. Let i = 1099/6 - q. Factor 1/6*v**2 - 1/3*v + i.
(v - 1)**2/6
Let x(h) = 2*h**3 + 16*h**2 + 5*h + 40. Let p be x(-8). Factor 1/5*v**2 + p - 2/5*v.
v*(v - 2)/5
Let d = 3179 - 3177. Factor 9/4 + 1/4*o**3 - 5/4*o**d + 3/4*o.
(o - 3)**2*(o + 1)/4
Suppose 183*m - 270 = 181*m. Factor 1066 + m*r**2 + 2579 + 5*r**3 + 198*r + 1017*r.
5*(r + 9)**3
Let s(m) = -556*m**2 - 39196*m + 2. Let o(b) = b**3 - 1110*b**2 - 78390*b + 5. Let z(a) = 4*o(a) - 10*s(a). Let z(p) = 0. What is p?
-140, 0
Let n = -13 - -5. Let k be (-4)/(-18) - 0/n. Suppose 0 - 4/9*t**2 - 2/9*t**3 - k*t = 0. Calculate t.
-1, 0
Let f(z) be the first derivative of z**4 - 12*z**3 + 54*z**2 - 108*z + 16. Suppose f(i) = 0. What is i?
3
Let b(y) be the second derivative of y**7/1260 - y**6/240 + y**5/180 + 6*y**2 - 3*y. Let l(s) be the first derivative of b(s). Factor l(u).
u**2*(u - 2)*(u - 1)/6
Let b = 127 - 131. Let s(z) = 6*z**3 - 18*z**2 + 12*z + 32. Let d(l) = -l**3 + l**2 + l. Let f(o) = b*d(o) - s(o). Factor f(n).
-2*(n - 4)**2*(n + 1)
Let k(j) be the third derivative of j**6/60 - 2*j**5 + 100*j**4 - 8000*j**3/3 - 50*j**2. Factor k(t).
2*(t - 20)**3
Let w = 26169/35 - 3062/5. Let k = w + -135. What is c in 4/7*c + 0 - k*c**2 = 0?
0, 2
Suppose 3*f + 4 - 13 = 0. Let d(t) = 7*t**4 - 14*t**3 - 43*t**2 - 7*t + 15. Let b(r) = r**4 - r**2 - r - 1. Let y(m) = f*b(m) + d(m). Factor y(j).
2*(j - 3)*(j + 1)**2*(5*j - 2)
Factor -126/5*g + 87*g**2 + 21/5*g**3 + 0.
3*g*(g + 21)*(7*g - 2)/5
Let t = 633/3215 - -2/643. Let h be 0/((-2*1)/2). Factor -2/5*y**2 + 0 - t*y**5 + 3/5*y**3 + h*y**4 + 0*y.
-y**2*(y - 1)**2*(y + 2)/5
Let g(c) be the first derivative of -3*c**5/25 - 9*c**4/4 - 63*c**3/5 - 147*c**2/10 - 789. Solve g(h) = 0.
-7, -1, 0
Let g(v) be the first derivative of -v**5 - 15*v**4/2 - 20*v**3 - 20*v**2 - 92. Find q, given that g(q) = 0.
-2, 0
Find d such that -53/2*d - 11 + 3/2*d**3 - 14*d**2 = 0.
-1, -2/3, 11
Let i(n) = 7*n**3 + 12*n**2 - n - 9. Let o(k) = 13*k**3 + 24*k**2 - 3*k - 19. Let c(w) = -5*i(w) + 3*o(w). Solve c(y) = 0 for y.
-3, -1, 1
Let n(h) = h**3 - 32*h**2 - 106*h + 40. Let y be n(35). Let q**4 - 1/2*q**3 + 0*q**2 - 1/2*q**y + 0 + 0*q = 0. Calculate q.
0, 1
Let n = -16233 + 16236. Factor -14/13*w**n + 108/13*w**2 - 64/13 - 192/13*w.
-2*(w - 4)**2*(7*w + 2)/13
Let v = 6182 + -6179. Let j be (3/(-17))/(3/(-4)). Find u such that -2/17*u**2 + 2/17*u**v - j*u + 0 = 0.
-1, 0, 2
Suppose 8*g - 47 = 113. Let b(a) = -a**2 + 23*a - 58. Let t be b(g). Solve 2/7*q**5 + 52/7*q**3 + 36/7*q**t - 54/7*q - 54/7 + 18/7*q**4 = 0.
-3, -1, 1
Let t(f) = 9*f**2 - 36*f + 30. Let b(c) = -18*c**2 + 71*c - 60. Let g(j) = 3*b(j) + 5*t(j). What is y in g(y) = 0?
5/3, 2
Let c(w) be the third derivative of -w**5/330 - 4*w**4/33 + 17*w**3/33 - 197*w**2. Factor c(f).
-2*(f - 1)*(f + 17)/11
Let 16*r**2 + 34 + 15*r - 7*r**2 - 3*r**2 - 7*r**2 = 0. What is r?
-2, 17
Suppose -3*s + 5*w - 101 = -6*s, -2*w = s - 35. Let f be (-1)/4 - s/(-12). Find i, given that 0*i**2 - 10*i + 3*i**2 + f*i**2 = 0.
0, 2
Let t(w) be the first derivative of w**5/10 + 7*w**4/24 + w**3/9 + 27. Factor t(r).
r**2*(r + 2)*(3*r + 1)/6
Let o(v) be the third derivative of 7*v**7/15 - 7*v**6/60 + v**5/120 - v**2 + 24. Find a such that o(a) = 0.
0, 1/14
Let z be (470/(-1128))/(5/(-3)). Factor 1/4*t**2 - z + 0*t.
(t - 1)*(t + 1)/4
Let a(x) be the first derivative of -x**5/5 + x**4 - x**3 + 117. Factor a(o).
-o**2*(o - 3)*(o - 1)
Let t = 455 - 269. Determine l, given that -13*l**2 + 45 + 15*l + t*l**3 - 12*l**2 - 181*l**3 = 0.
-1, 3
Solve -121/3