(w) = -138*w - 143. Let r(n) = a(n) + j(n). Factor r(v).
2*(v - 71)*(v + 1)
Let a(z) = z**2 + z - 1. Let y(r) = r**3 - 7*r**2 - 14*r + 4. Let o(v) = -4*a(v) - y(v). Factor o(i).
-i*(i - 5)*(i + 2)
Let r = 37 - 25. Suppose -33*a = -27*a - r. Let 2/7*v**a + 18/7 + 12/7*v = 0. Calculate v.
-3
Suppose 10*b = -0*b + 30. Factor 41*m - 2*m + 45*m**2 + 3*m**4 - 1137 + 1149 + 21*m**b.
3*(m + 1)**3*(m + 4)
Suppose 65 = 54*f - 45 + 2. Let 6*k + 18 + 1/2*k**f = 0. What is k?
-6
What is f in 80*f**2 - 6*f**3 + 720 + 7*f**3 - 2*f**3 - 492*f - 4*f**3 + 72*f = 0?
4, 6
Let b(l) be the third derivative of l**5/120 + 7*l**4/48 + l**3/2 + 23*l**2 - 2. Factor b(q).
(q + 1)*(q + 6)/2
Let h = 12 + -3. Suppose i - 118 = -i - 2*u, -h = -3*u. Factor 58*s**2 + 22 - 12*s - i*s**2 - 4.
2*(s - 3)**2
Let j be -12 + (-423)/(-81) + (7 - 0). Factor 10/9*u**2 + 4/9*u + j*u**4 + 0 + 8/9*u**3.
2*u*(u + 1)**2*(u + 2)/9
Solve 18*o**5 + 180*o**3 + 24*o**4 + o - 184*o**3 - 8*o**2 + o = 0.
-1, 0, 1/3
Suppose 2*g - b = 1, -6*g - 3*b = -g - 19. Factor 12*h**g + 16*h**2 + 20*h**3 - 5*h**4 + 6*h + h**4 - 26*h - 24.
-4*(h - 6)*(h - 1)*(h + 1)**2
Let r be (0 - (2 - -1))*(-5 - -2). What is j in -21 - r*j**2 - 37*j + 6 + 10*j + 3*j**3 = 0?
-1, 5
Find d such that 3 - 1/4*d**3 + 7/4*d**2 - 4*d = 0.
2, 3
Let a(q) = q**3 + 4*q**2 - 22*q - 2. Let n be a(-7). Factor 3*y**2 + 3*y - n*y**2 + 3*y**3 - y**5 - 3*y.
-y**2*(y - 1)**2*(y + 2)
Let i be ((-21)/(-98)*7)/((-1218)/(-243) + -5). Factor -48*v + i*v**3 - 135/2*v**2 - 6.
3*(v - 1)*(9*v + 2)**2/2
Factor 9*t**3 - 10*t**2 - 49*t**3 - 60*t**5 - 47*t**5 - 10*t**4 + 20 + 165*t**5 + 35*t - 53*t**5.
5*(t - 4)*(t - 1)*(t + 1)**3
Let j(k) be the third derivative of -3*k**6/20 + 3*k**5/4 - 25*k**4/16 + 125*k**3/72 - 99*k**2. Factor j(f).
-(6*f - 5)**3/12
Factor -1/8*f**2 + 11/8 - 5/4*f.
-(f - 1)*(f + 11)/8
Let g(t) be the first derivative of -t**3/12 - 105*t**2/4 - 11025*t/4 + 280. Let g(o) = 0. Calculate o.
-105
Suppose -j + 6*j + 58 = -4*r, -10 = 5*r. Let l be (-18)/(-10) - 2/j. Find s such that -s**4 - 2*s**3 + 2*s**3 + l*s - 2*s**3 + 3*s**4 - 2*s**2 = 0.
-1, 0, 1
Let v(w) be the first derivative of 8*w**6/3 + 66*w**5/5 + 14*w**4 - 58*w**3/3 - 36*w**2 - 8*w + 138. Solve v(t) = 0 for t.
-2, -1, -1/8, 1
Find d such that -20/3*d + 4/3*d**2 + 8 = 0.
2, 3
Suppose 9 = 2*n + 47. Let t = -16 - n. Suppose -7*u + 0*u - 3 - 4*u**3 - 5*u**2 + t*u**3 = 0. Calculate u.
-3, -1
Let h(o) be the third derivative of -o**2 - o**4 - 27 + 0*o + 12*o**3 + 1/30*o**5. Determine j, given that h(j) = 0.
6
Factor -48/5*p**2 - 4/5*p**4 + 24/5*p**3 + 0 + 32/5*p.
-4*p*(p - 2)**3/5
Let u(p) = p**2 + 26*p - 51. Let d be u(-28). Let j(z) be the second derivative of 1/75*z**6 + 0*z**2 + 0*z**4 + 0 - 1/50*z**d + 3*z + 0*z**3. Factor j(l).
2*l**3*(l - 1)/5
Let g(f) be the second derivative of -f**6/75 + f**5/10 + f**4/30 - f**3/3 - 149*f. Factor g(l).
-2*l*(l - 5)*(l - 1)*(l + 1)/5
Let -480*s - s**4 - 81 - 83*s**2 + 624*s + 16*s**3 + 5*s**2 = 0. What is s?
1, 3, 9
Let y(l) be the third derivative of l**6/210 + l**5/21 - 13*l**4/42 + 2*l**3/3 + 18*l**2. Factor y(b).
4*(b - 1)**2*(b + 7)/7
Suppose 2*d + 3*p - 15 = 0, -d - 2*p = -3*d. Suppose 6*i**2 - 4*i**3 + 6*i**2 + i + 0*i**d + 3*i - 12 = 0. What is i?
-1, 1, 3
Determine y so that 16*y**3 + 372*y + 12*y**3 - 144 - 112*y**2 + 15*y**3 + 14*y**3 - 48*y**3 = 0.
4/9, 6
Let u = 54 + -52. Suppose -3*f**4 + 6*f**2 + 2*f**2 - 5*f**u - 3*f**3 + 3*f = 0. Calculate f.
-1, 0, 1
Suppose 14 = 4*p - 3*l, 11*p + 3*l = 10*p - 4. Factor 4/3*b - 1/6*b**p - 8/3.
-(b - 4)**2/6
Let u(r) be the second derivative of -24*r + 0 - 8/21*r**3 + 0*r**2 - 1/21*r**4. Suppose u(w) = 0. Calculate w.
-4, 0
Suppose -3/2*u**4 + 27*u + 27/2*u**2 + 0 - 3*u**3 = 0. Calculate u.
-3, -2, 0, 3
Let q(y) be the second derivative of y**7/4200 - y**6/300 + y**5/75 + 25*y**3/6 + 3*y + 1. Let k(l) be the second derivative of q(l). Factor k(t).
t*(t - 4)*(t - 2)/5
Let y be 952/189 - 24/648. Solve 5/3*g**3 - 2/3*g**2 + 0 - 4/3*g**4 + 1/3*g**y + 0*g = 0.
0, 1, 2
Let j(i) be the third derivative of i**7/1155 + 2*i**6/165 - i**5/10 + 147*i**2. Factor j(p).
2*p**2*(p - 3)*(p + 11)/11
Let c(j) be the first derivative of 8 + 27*j - 39 + 102*j**3 + 9*j**2 - 101*j**3. Suppose c(x) = 0. Calculate x.
-3
Let i(q) = -q**3 + 7*q**2 - 10*q + 73. Let d be i(7). Factor 8/3 + 3/2*l**2 + 4*l + 1/6*l**d.
(l + 1)*(l + 4)**2/6
Let h(f) = -9*f**3 + f**2 + 20*f - 56. Let r(k) = 100*k**3 - 10*k**2 - 215*k + 615. Let d(q) = -45*h(q) - 4*r(q). Factor d(p).
5*(p - 2)**2*(p + 3)
Let o = -13 - -16. Suppose 2 = -3*p - o*d - 1, 0 = d + 3. Suppose 3*m + 9/2*m**3 + 0 - 15/2*m**p = 0. Calculate m.
0, 2/3, 1
Let r be -6 + ((-539)/8)/(-11). Let v(f) be the third derivative of -r*f**4 + 1/40*f**6 + 1/20*f**5 + f**2 - 1/2*f**3 + 0 + 0*f. Suppose v(p) = 0. Calculate p.
-1, 1
Let l(t) be the first derivative of -2*t**5/15 + 38*t**4/3 - 2732*t**3/9 - 988*t**2 - 1014*t - 914. Suppose l(j) = 0. What is j?
-1, 39
Let o(y) be the first derivative of -34/3*y**2 + 4 + 32/3*y + 40/9*y**3 - 1/3*y**4. Solve o(j) = 0.
1, 8
Let a = 48 + -54. Let i = a - -8. Factor h**i + 5/2*h - 5/2*h**3 - 1.
-(h - 1)*(h + 1)*(5*h - 2)/2
Let h(x) be the third derivative of x**6/200 - 7*x**5/100 + 2*x**4/5 - 6*x**3/5 - 95*x**2. Factor h(u).
3*(u - 3)*(u - 2)**2/5
Let r(q) = q + 8. Let p be r(-6). Suppose -7*k**p + 9*k + 3*k**2 - k = 0. What is k?
0, 2
Let w(f) be the second derivative of f**7/210 - f**6/150 - 3*f**5/50 - 444*f. Find b, given that w(b) = 0.
-2, 0, 3
Suppose 53*m - 226 = -120. Factor 4/13 + 2/13*w - 2/13*w**m.
-2*(w - 2)*(w + 1)/13
Let w(h) = 2*h**3 - 8*h**2 + 26*h + 4. Let s(z) = z**3 - 3*z**2 + 9*z + 1. Let r(f) = 8*s(f) - 3*w(f). Solve r(q) = 0.
-1, 2
Let v(b) be the third derivative of 2*b**7/525 + 23*b**6/75 + 481*b**5/75 - 184*b**4/5 + 384*b**3/5 - 211*b**2. Solve v(p) = 0 for p.
-24, 1
Suppose 2*t + 3*v = -v - 8, -v = 3*t + 2. Let g be (-1512)/(-195) + (-10)/(-25) + -8. Factor t*z + g*z**3 + 0 - 4/13*z**2.
2*z**2*(z - 2)/13
Suppose -3*q - 10 = -16. Let v(m) be the third derivative of 0*m**5 + m**q + 0*m + 1/6*m**3 - 1/60*m**6 + 0 + 1/12*m**4 - 1/210*m**7. Factor v(s).
-(s - 1)*(s + 1)**3
Suppose 3*d - 4*x = 185, 251 = 4*d - 258*x + 257*x. Factor 204/7*n - 78*n**2 - 24/7 + d*n**3.
3*(3*n - 2)*(7*n - 2)**2/7
Let m(f) be the first derivative of 6/5*f**5 + 0*f**2 + f**4 + 0*f + 19 + 1/3*f**6 + 0*f**3. Suppose m(a) = 0. Calculate a.
-2, -1, 0
Let u(p) be the second derivative of -p**7/42 + 23*p**6/150 - 3*p**5/20 - 7*p**4/12 + 2*p**3/3 + 6*p**2/5 + 20*p + 1. Let u(c) = 0. Calculate c.
-1, -2/5, 1, 2, 3
Suppose -2*q + 5*h = 0, 12 = 2*q - 4*h + 2*h. Suppose q*y - 5*y = 0. Factor y*w + 2/5 - 2/5*w**2.
-2*(w - 1)*(w + 1)/5
Suppose -1 = -6*p + 17. Factor -p*q**4 - 72*q**5 - 10*q**2 - 17*q**4 + 67*q**5 - 25*q**3.
-5*q**2*(q + 1)**2*(q + 2)
Let x(h) be the first derivative of -h**6/33 - 34*h**5/55 - 15*h**4/11 + 4*h**3/33 + 31*h**2/11 + 30*h/11 + 412. Find t, given that x(t) = 0.
-15, -1, 1
Suppose 7*i - 3*u - 12 = 4*i, 0 = -5*i - 3*u + 12. Let n be (3*(-3)/54)/(i/(-24)). Let 8/3*r + n + 4/3*r**2 = 0. Calculate r.
-1
Find v, given that 1/2*v**3 + 60*v - 72 + 23/2*v**2 = 0.
-12, 1
Let a(y) be the first derivative of -16*y**2 - 4/5*y**5 + 12*y + 0*y**4 - 1 + 8*y**3. Factor a(h).
-4*(h - 1)**3*(h + 3)
Let n(r) be the first derivative of -r**6/30 + r**5/5 - 3*r**4/10 - 2*r**3/15 + 7*r**2/10 - 3*r/5 + 38. Factor n(g).
-(g - 3)*(g - 1)**3*(g + 1)/5
Let f be 16/3*12/8. Factor m**2 + 3*m**2 + 16*m - f*m.
4*m*(m + 2)
Let m(h) be the first derivative of 1/2*h**4 + 0*h**3 + 14 + 3/5*h**5 + 0*h + 0*h**2. Let m(c) = 0. What is c?
-2/3, 0
Suppose -a + 2 + 2 = 0. Suppose a*q - 4 = 2*q. Let v**2 - v - q*v + v = 0. Calculate v.
0, 2
Let y(x) be the first derivative of 2*x**5/5 + x**4/2 - 10*x**3 + 23*x**2 - 20*x - 97. Factor y(u).
2*(u - 2)*(u - 1)**2*(u + 5)
Let m = -18178/9 + 2020. Let k(d) be the first derivative of -1/18*d**4 + 2/27*d**3 + 7 + 0*d + m*d**2. Solve k(i) = 0.
-1, 0, 2
Let v(q) = 4*q + q - 6*q - q**2 + 9 + 2*q. Let n be v(0). Factor 2*m - 13*m**2 + 2 - n*m**2 - 3*m + 19*m**2.
-(m + 1)*(3*m - 2)
Let i(s) be the third derivative of s**6/40 - 3*s**5/5 - 7*s**4/2 + 53*s**2. Find d, given that i(d) = 0.
-2, 0, 14
Let x(c) be the second derivative of -