u**2. Let y(i) = 0. What is i?
-2, -1
Suppose -3*y - a + 8 = -8, 5 = 5*a. Suppose -2*q**2 - 5 - 2 + y + 4*q = 0. What is q?
1
Let a(n) be the third derivative of -n**5/120 - n**4/6 - n**3 + 2*n**2 + 2. Factor a(c).
-(c + 2)*(c + 6)/2
Suppose 0 + 1/3*d - 1/3*d**3 + 0*d**2 = 0. Calculate d.
-1, 0, 1
Let k(a) = -167*a**3 + 833*a**2 + 840*a + 134. Let v(h) = -417*h**3 + 2082*h**2 + 2100*h + 336. Let z(t) = 12*k(t) - 5*v(t). Factor z(o).
3*(o - 6)*(3*o + 2)*(9*o + 2)
Suppose -127*j = -165*j + 114. Let d(g) be the third derivative of 0*g**4 + 0*g**j + 1/420*g**6 + 0 + 1/735*g**7 + 0*g - 1/105*g**5 - 2*g**2. Factor d(c).
2*c**2*(c - 1)*(c + 2)/7
Factor -4/5*k**2 + 142/5*k**3 + 0 + 0*k.
2*k**2*(71*k - 2)/5
Factor 4/5*m**3 + 8*m**2 + 144/5 + 132/5*m.
4*(m + 3)**2*(m + 4)/5
Let b(y) be the first derivative of -169/2*y - 13/2*y**2 - 1/6*y**3 - 40. Factor b(z).
-(z + 13)**2/2
Let r(b) be the first derivative of b**7/14 - b**6/10 - 3*b**5/10 + b**4/2 + b**3/2 - 3*b**2/2 - 3*b - 2. Let a(s) be the first derivative of r(s). Factor a(o).
3*(o - 1)**3*(o + 1)**2
Let f(w) be the third derivative of -w**6/30 - 29*w**5/15 - 65*w**4/2 + 150*w**3 - 170*w**2. Suppose f(d) = 0. Calculate d.
-15, 1
Let o(l) be the first derivative of -16 + 6/5*l**3 + 8/5*l - 4*l**2. Determine j so that o(j) = 0.
2/9, 2
Let v(o) = o**3 + 6*o**2 + 5*o. Let l be v(-5). Suppose -4*a + 8*a - 16 = l. Factor 4*u**3 - 7*u**3 + 2*u**a - 3*u**4 - 2*u**4.
-3*u**3*(u + 1)
Let v(m) be the third derivative of 0*m**3 - 1/15*m**6 + 0 - 5*m**2 + 2/105*m**7 + 0*m + 0*m**4 + 0*m**5. Factor v(w).
4*w**3*(w - 2)
Let r(b) be the third derivative of -16*b**5/15 + 26*b**4 - 507*b**3/2 + 983*b**2. Factor r(i).
-(8*i - 39)**2
Factor 36 + 16*u + 4/3*u**2.
4*(u + 3)*(u + 9)/3
Let f(j) = 7*j**2 + 3*j + 4. Let b(a) = -13*a**2 - 6*a - 7. Let p = 5 + 8. Let w = 6 - p. Let m(g) = w*f(g) - 4*b(g). Determine u, given that m(u) = 0.
-1, 0
Let p(q) = -q**2 + 7. Let x(h) = 4*h**2 - 12*h - 28. Let s(f) = 6*p(f) + x(f). Suppose s(k) = 0. What is k?
-7, 1
Let l(t) = -4*t**3 + 6*t**2 + 8*t - 2. Let u(x) = x**2 - 1. Let d(h) = l(h) - 2*u(h). Suppose d(c) = 0. What is c?
-1, 0, 2
Let h(c) be the third derivative of 3*c**6/70 - 2*c**5/105 - 3*c**4/14 + 4*c**3/21 - 9*c**2 - 23. Let h(q) = 0. Calculate q.
-1, 2/9, 1
Factor 28/3*u - 16 - 4/3*u**2.
-4*(u - 4)*(u - 3)/3
Let m(b) = 2*b**4 + 26*b**3 + 96*b**2 + 128*b. Let i(h) = 16*h**3 - 33*h**3 - 192*h**2 - 4*h**4 - 36*h**3 - 256*h. Let s(v) = -2*i(v) - 5*m(v). Factor s(g).
-2*g*(g + 4)**3
Let u(c) be the third derivative of 1/300*c**5 + 0*c**3 + 0*c + 0 - 3*c**2 - 1/120*c**4. Factor u(f).
f*(f - 1)/5
Let o(z) be the first derivative of -5*z**5/12 - 55*z**4/8 + 35*z**3/3 - z**2/2 + 13*z + 33. Let c(l) be the second derivative of o(l). Factor c(m).
-5*(m + 7)*(5*m - 2)
Let t = -31 + 37. Find p such that 4*p + 15*p**2 - 14*p**4 - 6*p**5 - 9*p**2 - t*p**3 + 0*p = 0.
-1, 0, 2/3
Let r(q) = -q**4. Let j(n) = 9*n**4 + 18*n**3 - 36*n**2 + 30*n - 9. Let x(w) = j(w) + 12*r(w). Factor x(h).
-3*(h - 3)*(h - 1)**3
Let k(a) be the second derivative of a**6/6 + a**5 + 5*a**4/12 - 5*a**3 + 72*a + 2. Factor k(l).
5*l*(l - 1)*(l + 2)*(l + 3)
Suppose -18*v**4 - 3*v**5 - 14*v + 470*v**2 - 10*v - 63*v**3 - 536*v**2 - 6*v**4 = 0. What is v?
-4, -2, -1, 0
Factor -32/5 + 8/5*r**2 - 4/5*r**3 + 16/5*r.
-4*(r - 2)**2*(r + 2)/5
Suppose 3*k - 16 = -5*f, f + 0*f + 3*k = -4. Factor 5*l**f - 15*l**5 + 6*l**5 - 24*l**3 - 4*l + 16*l**4 + 16*l**2.
-4*l*(l - 1)**4
Let a be (-4*91/(-28))/5 + 1*-1. Determine o, given that -2/5*o**3 - a - 16/5*o - 2*o**2 = 0.
-2, -1
Let n(u) be the second derivative of -u**7/14 - u**6/2 - 9*u**5/20 + 9*u**4/4 + 79*u. Determine g so that n(g) = 0.
-3, 0, 1
Let h = -52 + 61. Let k(j) = j**2 - 7*j - 15. Let y be k(h). Factor -2/7*o**4 + 0 - 8/7*o**y - 8/7*o**2 + 0*o.
-2*o**2*(o + 2)**2/7
Let r be (-24)/21*(5 - 21/4)/1. Factor 2/7 - 2/7*m**3 + 2/7*m - r*m**2.
-2*(m - 1)*(m + 1)**2/7
Let a(o) = -o**2 + o - 6. Let c(l) = l + 1. Suppose 26 = 4*p + 5*v, p - 3*v - 3 + 5 = 0. Let n(f) = p*a(f) + 12*c(f). Find d, given that n(d) = 0.
1, 3
Let y(p) be the first derivative of 4*p**5/75 + 7*p**4/10 + 58*p**3/45 - 28*p**2/5 + 64*p/15 + 542. Suppose y(f) = 0. What is f?
-8, -4, 1/2, 1
Let x(u) be the first derivative of u + 10 + 2/3*u**2 + 1/9*u**3. Determine n, given that x(n) = 0.
-3, -1
Let u = -9903 + 9905. Determine s, given that 190*s**3 + 584/5*s + 50*s**4 - 16 - 276*s**u = 0.
-5, 2/5
Suppose 1631 + 52*f**2 - 31*f - 12*f**4 - 3*f**3 - 13*f**3 - 1631 + 7*f = 0. Calculate f.
-3, 0, 2/3, 1
Let -8/11*p**2 + 6/11*p**4 + 0 + 0*p**3 + 0*p - 2/11*p**5 = 0. What is p?
-1, 0, 2
Suppose 4*v - 9 = 3*r, 4*v - 17 = -v - 2*r. Factor -36*y + 3*y**v + 34*y - 2*y**3 + y**3.
2*y*(y - 1)*(y + 1)
Suppose 4*m - 4*h = 640, 2*m - 5*h - 58 = 256. Let a = m + -482/3. Determine o, given that -10/3*o**2 - 14/3*o**5 + 6*o**3 + 0 - a*o + 10/3*o**4 = 0.
-1, -2/7, 0, 1
Let y(p) be the second derivative of -2*p**6/15 - p**5/5 + p**4 + 2*p**3/3 - 4*p**2 + 64*p. Suppose y(x) = 0. Calculate x.
-2, -1, 1
Let p(r) be the third derivative of -r**5/80 + 33*r**4/32 + 17*r**2 - 6. Suppose p(w) = 0. What is w?
0, 33
Let k be 68/20 - 2/5. Let u = -15 - -18. What is l in -l**u - l**3 + 8*l**3 + k*l**4 = 0?
-2, 0
Let c(q) be the first derivative of -q**4/4 - 26*q**3/21 - 13*q**2/14 + 6*q/7 + 64. Factor c(b).
-(b + 1)*(b + 3)*(7*b - 2)/7
Let k be -3 + 1 + -2 + 103. What is r in -5*r**3 + 3*r**3 - k*r**2 + r**3 + 96*r**2 = 0?
-3, 0
Let d(h) = h**3 + 17*h**2 + 15*h - 14. Let z be d(-16). Let p be -4 - (8 + -14)*z/3. Let 2/3*x**4 + p + 2*x**2 - 2/3*x - 2*x**3 = 0. Calculate x.
0, 1
Let g be (-6)/(-2)*-47 + -4. Let v = g - -149. Factor 0 + 2/5*m + 2/5*m**v + 6/5*m**2 + 6/5*m**3.
2*m*(m + 1)**3/5
Determine w so that 7*w + w + 9 - 269*w**2 + 268*w**2 = 0.
-1, 9
Let m(a) = a - 7. Let r be m(3). Let f be (34/(-8) - -2)*r. Factor -2*z**4 - 2*z - 2*z**2 + 4*z**4 - f + 2*z**3 + 9.
2*z*(z - 1)*(z + 1)**2
Let d(n) be the first derivative of n**4/36 + n**3/18 - 14*n - 2. Let q(z) be the first derivative of d(z). Factor q(j).
j*(j + 1)/3
Suppose -18 = -2*g + 2*k, -3*k = -4*g + 50 - 19. Factor 4*q**3 - 3*q + 3*q**4 - 2 + 0*q**4 + q**2 - q**3 - 2*q**g.
(q - 1)*(q + 1)**2*(q + 2)
Factor 2/3*i - 1/2 - 1/6*i**2.
-(i - 3)*(i - 1)/6
Factor 4*d**2 + 4*d**2 - 426*d - 5*d**2 + 2588 + 10789 + 1746.
3*(d - 71)**2
Let z(f) be the second derivative of -121*f**6/90 + 22*f**5/15 + 194*f**4/9 - 16*f**3 - 216*f**2 - 436*f. Factor z(m).
-(m - 2)**2*(11*m + 18)**2/3
Let z = -47274 + 94553/2. Determine t, given that -z*t**4 + 2 - 1/2*t**5 + 1/2*t**2 - 7/2*t**3 + 4*t = 0.
-2, -1, 1
Let t(v) = 6*v**2 + 2*v. Let o(w) = w - w + 3*w + 25*w**2 + 4*w. Let l(d) = -2*o(d) + 9*t(d). Suppose l(j) = 0. Calculate j.
-1, 0
Let i = -25 - -29. Let b be (3 - 2)/(4/8). Factor -i*m**3 + 20*m**b - 16*m**2 + 2*m**3.
-2*m**2*(m - 2)
Let a(q) = -q**2 - 4*q - 5. Let d(u) = -u**2 - 3*u - 4. Let h(c) = c. Let g(v) = -d(v) + h(v). Let s(x) = -4*a(x) - 5*g(x). Factor s(k).
-k*(k + 4)
Let j(r) be the second derivative of -r**8/336 + r**7/168 + r**6/36 - 7*r**3/2 + 25*r. Let u(b) be the second derivative of j(b). Factor u(a).
-5*a**2*(a - 2)*(a + 1)
Let y(n) = -6*n - 50. Let h be y(-8). Let s be ((-6)/60)/(h/12). Find f such that 2/5*f**2 - 1/5*f**4 - 1/5 - 6/5*f**3 + s*f**5 + 3/5*f = 0.
-1, 1/3, 1
Let z(f) be the third derivative of -1/315*f**7 + 0 + 1/9*f**4 - 1/15*f**5 + 1/45*f**6 - 6*f**2 + 0*f - 1/9*f**3. Factor z(v).
-2*(v - 1)**4/3
Suppose 2/19*f**5 + 252/19*f**2 + 24/19*f**4 + 112/19*f**3 + 270/19*f + 108/19 = 0. Calculate f.
-3, -2, -1
Determine t, given that 16/7*t**2 - 12/7 + 8/7*t - 8/7*t**3 - 4/7*t**4 = 0.
-3, -1, 1
Factor -14/5*l**4 - 2/5*l**5 + 0 - 234/5*l**2 + 0*l + 138/5*l**3.
-2*l**2*(l - 3)**2*(l + 13)/5
Let v(c) = -5*c**2 - 26*c + 6. Let z(h) = -8*h**2 - 53*h + 10. Let m(k) = -5*v(k) + 3*z(k). Suppose m(r) = 0. What is r?
0, 29
Let m be (48/21)/(512/2688). Factor m*f - 24 - 3/2*f**2.
-3*(f - 4)**2/2
Let i(m) be the first derivative of -5*m**3/6 + 5*m**2/4 + 5*m - 198. Factor i(g).
-5*(g - 2)*(g + 1)/2
Suppose -3*m = 2*r - 59, -4*r + 4 = -2*m + 38. Let j = m + -14. What is t in -2*t**4 + 8*t**j - 3*t**3 - 5*t**5 + 3*t**2 - t**4 = 0?
-1, 0, 1
Factor -27 + 87/2*v - 31/2*v**2 - v**3.
-(v