- 6 + 12 - 4 = 0.
-2
Let d = -184428/11 - -1659874/99. Factor 0 - 56/9*o**2 - 4/3*o**3 - 16/3*o + d*o**5 + 2/3*o**4.
2*o*(o - 3)*(o + 2)**3/9
Let d be (8/(-22))/((-4)/22). Let a(t) = t**3 + 5*t**2 - 5*t - 8. Let r be a(-3). Factor -28*y**d + 54*y**2 - r*y**2.
y**2
Suppose 7*c = -15*c - 52*c. Find t such that c + 12/7*t - 2/7*t**2 = 0.
0, 6
Let q be -1 - 3*(-3)/3. Let -2*x**4 + 8 + 54*x**2 + 2*x**5 + 64*x**q - 116*x**2 - 10*x**3 + 16*x = 0. Calculate x.
-1, 2
Let y(s) be the third derivative of -s**5/120 + 181*s**4/48 - 59*s**3 - 54*s**2 + 19. Find f, given that y(f) = 0.
4, 177
Suppose -g - 4*o = 2, 4 = -5*g - 5*o + 24. Let u(i) be the third derivative of -10*i**2 + 0 + 1/240*i**g + 0*i + 0*i**5 - 1/16*i**4 + 1/6*i**3. Factor u(v).
(v - 1)**2*(v + 2)/2
Solve 24/5*g - 18 + 2/5*g**2 = 0.
-15, 3
Let h(k) be the first derivative of 10*k**6/3 + 155*k**5 + 3045*k**4/2 + 12340*k**3/3 - 4175*k**2 - 10875*k + 1609. Let h(q) = 0. What is q?
-29, -5, -3/4, 1
Let i(v) be the second derivative of -3*v**2 + 0 + 6*v + 5/6*v**3 + 1/12*v**4. Factor i(n).
(n - 1)*(n + 6)
What is v in -952*v**3 - 1653*v**5 - 10800 + 587*v**2 + 61*v**4 - 179*v**2 + 1652*v**5 + 7920*v = 0?
-3, 2, 30
Let f(v) = 3*v + 6. Let i be f(-1). Suppose -i*d = 12*t - 14*t + 10, 4*d = -2*t - 4. Let 12/7*q + t*q**2 + 2/7*q**3 + 0 = 0. What is q?
-6, -1, 0
Let 716/5*s**2 + 12672*s - 25920 + 2/5*s**3 = 0. What is s?
-180, 2
Suppose 4*u + 9 = -f, u + u = -6. Let s be 8 - (-8)/(-5)*(-80)/(-32). Factor -5 + 3*m**5 + 3*m**2 - 3*m**3 + 6 - f*m**s - 1.
3*m**2*(m - 1)**2*(m + 1)
Let q(c) be the third derivative of c**5/300 - 71*c**4/5 + 120984*c**3/5 - 552*c**2 - 4. Factor q(l).
(l - 852)**2/5
Factor 3132/13*b + 1226178/13 + 2/13*b**2.
2*(b + 783)**2/13
Suppose -3*c - 5*g + 46 = 0, 4*c + 382*g = 381*g + 16. Factor -16/13 + 12/13*y - 2/13*y**c.
-2*(y - 4)*(y - 2)/13
Let j be (-1)/96*-28 - 1/6. Let d = -75 - -301/4. Factor 0 + 1/2*h**3 + d*h + j*h**4 + 5/8*h**2.
h*(h + 1)**2*(h + 2)/8
Let s(n) be the third derivative of -5*n**8/1512 + 113*n**7/945 + n**6/36 - 329*n**5/270 - 113*n**4/54 - 6*n**2 + 16*n - 5. Let s(v) = 0. Calculate v.
-1, 0, 2, 113/5
Let d(m) be the second derivative of -1/40*m**6 + 0*m**3 + 0 - 17/2*m**2 - 11/60*m**5 - 1/4*m**4 - 21*m. Let k(o) be the first derivative of d(o). Factor k(f).
-f*(f + 3)*(3*f + 2)
Let f(n) be the first derivative of n**3/3 + 36*n**2 + 1296*n - 7359. Suppose f(r) = 0. Calculate r.
-36
Let c(f) be the first derivative of -f**3/5 - 753*f**2/2 - 3762*f/5 + 5577. Let c(i) = 0. Calculate i.
-1254, -1
Let f(k) be the first derivative of k**4 + 88*k**3 + 604. Factor f(o).
4*o**2*(o + 66)
Let q(d) be the third derivative of -5*d**8/336 - 13*d**7/42 - 7*d**6/24 + 19*d**5/4 - 15*d**4/2 - d**2 - 2*d - 90. Solve q(b) = 0 for b.
-12, -3, 0, 1
Let f be -7 - ((-684)/152)/((7/(-2))/(-7)). Factor -2*a**f - 6/11*a**3 - 10/11 - 26/11*a.
-2*(a + 1)**2*(3*a + 5)/11
Let i = -9 - -38. Suppose d**4 + 14*d**2 + 64*d - 16 + d**4 - i*d - 17*d - 12*d**3 - 6*d**3 = 0. What is d?
-1, 1, 8
Let v(h) = -13 - 24*h + 32*h**2 + 12*h**2 - 35*h - 48 + 13. Let q(m) = -m**2 + m. Let w(z) = -5*q(z) - v(z). Determine u, given that w(u) = 0.
-8/13, 2
Suppose 0*c - 3*c = 12, 3*k = 5*c + 29. Determine j so that -j**3 - 9*j + 0*j**3 - 4*j**3 - 7*j**3 + 15*j**2 + 3*j**4 + k*j = 0.
0, 1, 2
Let d(b) be the second derivative of 11/24*b**3 - 122*b + 0 + 0*b**2 + 1/48*b**4. Factor d(i).
i*(i + 11)/4
Solve 75*r - 385/2*r**2 + 5/2*r**5 + 0 - 95/2*r**4 + 325/2*r**3 = 0 for r.
0, 1, 2, 15
Suppose -108950*l + 6539203 + 561*l**2 + 56682*l + 1263*l**3 - 52639*l - 1264*l**3 = 0. Calculate l.
187
Let g(y) = -y**3 - 8*y**2 - 12*y + 2. Let v be g(-6). Let u(k) be the first derivative of k**3 - 5 - 11 - 1 + 3*k**v + 3*k. Factor u(o).
3*(o + 1)**2
Factor -15/2*s - 8*s**2 - 1/8*s**4 - 19/8*s**3 + 0.
-s*(s + 2)**2*(s + 15)/8
Let w(m) be the first derivative of 28/5*m**2 + 1/5*m**6 - 48/5*m - 4/25*m**5 - 27/10*m**4 + 86 + 4*m**3. Solve w(f) = 0.
-3, -1, 2/3, 2
Determine g, given that 8/11*g + 0 + 10/11*g**2 - 1/11*g**4 + 1/11*g**3 = 0.
-2, -1, 0, 4
Determine d so that -2/5*d - 2/5*d**5 - 3/5*d**2 + 4/5*d**3 + 0 + 3/5*d**4 = 0.
-1, -1/2, 0, 1, 2
Let g = -266 + 277. Factor -g*f**4 + 20*f - 7*f**4 - 4*f + 6*f**4 - 28*f**3.
-4*f*(f + 1)*(f + 2)*(3*f - 2)
Let b(d) = d**3 - 12*d**2 + 24*d - 38. Let w be b(10). Factor -5 + 105*v**3 + 2 - 68*v**2 - 1 - 32*v**w - 15*v + 14.
5*(v - 1)*(3*v + 1)*(7*v - 2)
Let q be 147/(-270) + 24/54 + 6/20. Solve -32/5 - 2/5*c**3 + 8*c - 12/5*c**2 + q*c**4 = 0 for c.
-4, 2
Let o(k) be the third derivative of -k**7/490 + k**6/105 + 17*k**5/140 + 13*k**4/42 + 2*k**3/7 + 585*k**2. Find p, given that o(p) = 0.
-2, -1, -1/3, 6
Let o = 244861/2772 + -1/2772. Let u = 89 - o. Factor -4/3 - 8/3*p**2 + 10/3*p + u*p**3.
2*(p - 2)*(p - 1)**2/3
Let q(f) = f**2 - 9*f + 12. Let r be q(10). Suppose i - 2*i - 23 = 5*x, 0 = i - 4*x - r. Factor 2 - 3*a**2 + a + a**2 + a**3 - i*a**3 + 0*a**2.
-(a - 1)*(a + 1)*(a + 2)
Let r(c) = 36*c**2 - 6*c + 2. Let a be r(0). Find w, given that -9/5*w + 4/5*w**3 - 2/5 - 3/5*w**a = 0.
-1, -1/4, 2
Factor 3520/3 + 410/3*h**3 + 5240/3*h + 860*h**2 - 5/3*h**4.
-5*(h - 88)*(h + 2)**3/3
Let t(i) be the second derivative of -i**6/135 + 7*i**5/36 + i**4/4 - i**3/2 + 3*i**2 + 89*i. Let s(h) be the second derivative of t(h). Solve s(q) = 0 for q.
-1/4, 9
Let a(k) be the first derivative of 265 + 2*k - 5/3*k**2 - 1/18*k**4 + 14/27*k**3. Let a(m) = 0. Calculate m.
1, 3
Let w(u) be the first derivative of -u**6/9 - 62*u**5/15 - 85*u**4/2 - 50*u**3 - 6863. Let w(i) = 0. Calculate i.
-15, -1, 0
Let r = 77 - 67. Suppose b = -i + 1, -5*i - 3*b - 13 = -r*i. Factor 2/7*c**4 + 0 + 0*c**3 - 2/7*c**i + 0*c.
2*c**2*(c - 1)*(c + 1)/7
Suppose 8*l - 69498 = -3*l. Solve -67*o**2 + 6333*o**4 + 27*o**2 - l*o**4 + 5*o**5 - 30*o**3 = 0.
-4, -1, 0, 2
Let a(l) be the first derivative of l**6/2520 + l**5/168 + l**4/28 + 42*l**3 + 3. Let u(b) be the third derivative of a(b). Let u(g) = 0. What is g?
-3, -2
Factor 876*z - 22445 - 3*z**2 - 62959 + 21456.
-3*(z - 146)**2
Let z(c) = -2*c**3 + 8*c**2 + 10*c - 22. Suppose -4 + 14 = 5*i. Let a be i/(-9) - (-6304)/(-144). Let w(v) = -1. Let x(j) = a*w(j) + 2*z(j). Factor x(p).
-4*p*(p - 5)*(p + 1)
Let 1/6*c**4 - 1/6*c**5 + 1/3*c + 0 - 5/6*c**2 + 1/2*c**3 = 0. Calculate c.
-2, 0, 1
Let z(f) be the first derivative of -f**5/25 - 5*f**4/4 + 82*f**3/15 - 28*f**2/5 - 10855. Determine b, given that z(b) = 0.
-28, 0, 1, 2
Let y = 260 + -109. What is o in -4*o**2 + y - 283 + 14*o + 42*o = 0?
3, 11
Let y(q) be the second derivative of -q**5/4 - 1175*q**4/12 - 6895*q**3/6 - 5725*q**2/2 + 11495*q. Factor y(t).
-5*(t + 1)*(t + 5)*(t + 229)
Let y(g) be the second derivative of g**7/210 + g**6/30 + g**5/100 - 17*g**4/60 - 11*g**3/15 - 4*g**2/5 - 412*g. Factor y(c).
(c - 2)*(c + 1)**3*(c + 4)/5
Let b(o) be the first derivative of -o**8/1260 + o**6/45 + 4*o**5/45 + o**4/6 + 37*o**3/3 + 9. Let x(m) be the third derivative of b(m). Factor x(a).
-4*(a - 3)*(a + 1)**3/3
Let j(r) = -r**3 - 2*r**2 + 2. Let u(x) = x**4 - x**3 - 3*x**2 + 3. Let g be -6 + (-1 - 1/(5/(-20))). Let b(l) = g*j(l) + 2*u(l). Let b(d) = 0. Calculate d.
-1/2, 0
Let f(t) = -34*t**3 + 92*t**2 + 94*t - 20. Let a = 105 + -102. Let c(v) = 2 - 47*v**3 + v + 25*v**3 + 21*v**a. Let b(p) = 6*c(p) - f(p). Factor b(x).
4*(x - 4)*(x + 1)*(7*x - 2)
Let m = -1806807 - -9034139/5. Suppose 1/5*p**2 + 2704/5 + m*p = 0. Calculate p.
-52
Let q(r) be the first derivative of r**5/2 + 55*r**4/2 + 545*r**3 + 4675*r**2 + 36125*r/2 + 420. Factor q(y).
5*(y + 5)**2*(y + 17)**2/2
Let 1597/3*i**2 + 615*i - 27*i**3 + 1/3*i**4 - 3362/3 = 0. Calculate i.
-2, 1, 41
Find v such that -54/5 - 177/5*v + 43/5*v**3 - 118/5*v**2 + 6/5*v**4 = 0.
-9, -2/3, -1/2, 3
Let b be 8 + (-22 + 29 - (0 - -15)). Let l = 7532/2095 + 2/419. Factor l*a + b - 6/5*a**2.
-6*a*(a - 3)/5
Let b = 11344/9451 - 14/47255. Solve -14/5*t + b*t**3 + 6/5*t**2 - 12/5 - 2/5*t**4 = 0 for t.
-1, 2, 3
Let m(q) = q**4 - 2*q**3 + q**2 + 6*q + 6. Let c(r) = 4*r**4 - 6*r**3 + 2*r**2 + 17*r + 19. Suppose -4*k = 4*k + 32. Let u(w) = k*c(w) + 14*m(w). Factor u(y).
-2*(y - 2)*(y + 1)**2*(y + 2)
Let o be (386/12159)/(7/441). What is a in 1156/3*a**o + 167042/9 + 39304/9*a + 136/9*a**3 + 2/9*a**4 = 0?
-17
Su