(y) = 0. Calculate y.
1
Let z(x) be the first derivative of -x**6/3 + 16*x**5/5 - 6*x**4 - 4*x**3/3 + 13*x**2 - 12*x - 37. Factor z(s).
-2*(s - 6)*(s - 1)**3*(s + 1)
Let f(k) be the first derivative of 5/3*k**3 - 10*k - 15/2*k**2 - 22 + 15/4*k**4 + k**5. Factor f(i).
5*(i - 1)*(i + 1)**2*(i + 2)
Suppose -3*l + 10 = -11. Let j = -5 + l. Factor 12 - 12*q + 0*q**2 + 0*q + 3*q**j.
3*(q - 2)**2
Suppose 55 = -t + 3*o - 58, 2*t + 240 = -o. Let v = t - -121. Suppose -16/5 - 4/5*z**v + 16/5*z = 0. What is z?
2
Let i = -510 - -234. Let r = i + 278. Determine s, given that 1/3*s**r + 1/3*s**4 - s + s**3 - 2/3 = 0.
-2, -1, 1
Let y(u) be the first derivative of u**9/1512 - u**8/420 + u**6/90 - u**5/60 + 2*u**3/3 - 11. Let a(z) be the third derivative of y(z). Let a(c) = 0. What is c?
-1, 0, 1
Let q(d) = d**2 + 24*d + 128. Let v be q(-16). Let b(j) be the second derivative of -11*j + 5/12*j**4 + 0*j**3 - 5/2*j**2 + v. Factor b(c).
5*(c - 1)*(c + 1)
Let z(x) = -x**2 + x + 1. Let b(a) = 4 - 2*a**2 - 4*a**2 - 10 + 34*a**2 + 12*a. Let y(s) = -2*b(s) - 20*z(s). Find h such that y(h) = 0.
-1, -2/9
Let p(z) be the second derivative of z**7/4200 - z**6/1800 - z**5/600 + z**4/120 - 13*z**3/6 - 14*z. Let t(f) be the second derivative of p(f). Solve t(h) = 0.
-1, 1
Let o = 114 - 110. Let j(b) be the third derivative of -1/36*b**o + 1/180*b**6 + 0*b**5 + 0*b + 1/18*b**3 - 4*b**2 - 1/630*b**7 + 0. Factor j(g).
-(g - 1)**3*(g + 1)/3
Let b(j) be the first derivative of 3/4*j - 1/4*j**2 + 1 - 1/12*j**3. Suppose b(l) = 0. What is l?
-3, 1
Let x(j) = 15*j**2 - 36*j + 39. Let a(q) be the third derivative of -7*q**5/60 + 3*q**4/4 - 10*q**3/3 - 20*q**2. Let l(b) = -9*a(b) - 4*x(b). Factor l(n).
3*(n - 4)*(n - 2)
Let a(y) = y**4 + y**2 - y. Let r(f) = -3*f**3 + f**2 + 3*f. Let o be -3 + (-2 - 1 - 3). Let z be (-3)/2*(-6)/o. Let w(b) = z*a(b) + r(b). Factor w(x).
-x*(x - 1)*(x + 2)**2
Factor -8*o**2 - 73*o**4 - 2*o**2 + 15*o**3 + 147*o**4 - 79*o**4.
-5*o**2*(o - 2)*(o - 1)
Let x = 1201/2 + -600. Let u(r) be the first derivative of -1/10*r**5 + r**2 + x*r**4 - r**3 - 5 - 1/2*r. Find z, given that u(z) = 0.
1
Let k = -1970 + 1974. Determine z so that -2/5*z**k + 0*z**2 + 2/15*z**5 + 4/15*z**3 + 0*z + 0 = 0.
0, 1, 2
Let h(j) be the third derivative of 0 - 1/120*j**4 - 6*j**2 + 0*j**3 + 0*j + 1/300*j**5. Factor h(a).
a*(a - 1)/5
Let m(j) = 2*j**3 - 13*j**2 + 6*j + 4. Let p be m(6). Factor 0 + 0*c - 6*c - 1 - c**2 - p.
-(c + 1)*(c + 5)
Suppose -84*a + 42*a = -53*a. Factor -4/21*j**4 + 0*j + 2/21*j**3 + a*j**2 + 2/21*j**5 + 0.
2*j**3*(j - 1)**2/21
Let p(c) be the third derivative of 5*c**2 - c**3 + 0 + 1/3*c**4 - 1/30*c**5 + 0*c. Factor p(l).
-2*(l - 3)*(l - 1)
Let v(m) be the second derivative of -m**6/6 + 33*m**5/4 - 425*m**4/4 - 1445*m**3/6 - 74*m. Factor v(l).
-5*l*(l - 17)**2*(l + 1)
Let p = 370 - 367. Let f(i) be the first derivative of 3/8*i**2 + 0*i + 8 - 1/4*i**p. Factor f(q).
-3*q*(q - 1)/4
Let k = 884 + -7059/8. Let m(u) be the second derivative of 0 + 3*u**2 + k*u**4 + 3*u + 9/20*u**5 + 3*u**3 + 1/20*u**6. Factor m(y).
3*(y + 1)**2*(y + 2)**2/2
Let y be (-1)/4 - 22/(-56). Let h = 4147 + -4147. Solve -1/7*l - 3/7*l**3 - 3/7*l**2 - y*l**4 + h = 0 for l.
-1, 0
Let d(r) be the first derivative of -5/9*r**2 + 8/27*r**3 + 4/9*r - 1/18*r**4 - 13. Factor d(v).
-2*(v - 2)*(v - 1)**2/9
Let m(q) = 4*q + 4. Let o be m(-3). Let s be 3/o + (-152)/(-64). Suppose -s*d**3 + 4*d + 0*d**3 + 6*d - 8*d = 0. What is d?
-1, 0, 1
Let p(t) be the second derivative of -1/105*t**7 - 1/10*t**5 + 4/75*t**6 + 0*t**2 + 1/15*t**4 + 0*t**3 + 0 - 36*t. Factor p(b).
-2*b**2*(b - 2)*(b - 1)**2/5
Let h(b) be the first derivative of -b**8/420 - b**7/210 + b**6/90 + b**5/30 + b**3/3 + 7. Let i(k) be the third derivative of h(k). Factor i(s).
-4*s*(s - 1)*(s + 1)**2
Let n(b) = b**3 - 7*b**2 + 8*b + 6. Let w be n(6). Let d be (-2)/4 - (-63)/w. Find x, given that -5*x**2 + d*x + 6 + 0*x**2 + 3*x**4 - 3*x**3 - 4*x**2 = 0.
-1, 1, 2
Let s = 22/79 + 206/395. Suppose -2*l + j = 0, 0*j = -3*l + 2*j - 2. Factor l*g**2 + 6/5*g - s.
2*(g + 1)*(5*g - 2)/5
Let k(o) = -13*o + 249. Let q be k(19). Let c be 8/30 + 4/10. What is p in 0*p - c*p**3 + 2/3*p**q + 0 = 0?
0, 1
Let k(g) = -3*g**3 - 20*g**2 + 3*g + 15. Let i(a) = -3*a**3 - 21*a**2 + 3*a + 15. Let s(r) = 5*i(r) - 6*k(r). What is l in s(l) = 0?
-5, -1, 1
Let n be 115/138*(-8)/(-60). Let r(f) be the second derivative of -n*f**4 - 4/9*f**3 - 2*f + 0 - 2/3*f**2. Let r(x) = 0. Calculate x.
-1
Suppose 49*v + 23*v = 8*v. Factor -4/5*t**5 - 4/5*t**4 + v*t + 0*t**2 + 0*t**3 + 0.
-4*t**4*(t + 1)/5
Suppose -5*q + 2*p = -0*p - 11, 4*p + 12 = 0. Let s be ((-21)/35)/(q/(-5)). Solve 8*u**4 + s*u - 81*u**2 + 4 + 69*u**2 - 4*u**3 + u = 0.
-1, -1/2, 1
Let a(r) be the first derivative of r**5/100 - r**4/5 + 8*r**3/5 - 5*r**2 - 13. Let l(m) be the second derivative of a(m). Factor l(y).
3*(y - 4)**2/5
Let m be ((-34)/24 - -2)*198/1232. Let q(f) be the third derivative of -1/8*f**3 - 1/40*f**5 + 0*f - 2*f**2 + 0 + m*f**4. Factor q(r).
-3*(r - 1)*(2*r - 1)/4
Let z = -3928 + 74694/19. Factor -z*r + 8/19*r**2 - 16/19.
2*(r - 8)*(4*r + 1)/19
Let r(b) be the third derivative of -16 + 0*b**4 + 0*b**5 + 0*b**3 - 1/245*b**7 + 1/784*b**8 - 2*b**2 + 0*b + 0*b**6. Factor r(v).
3*v**4*(v - 2)/7
Find v, given that 72/5 + 84/5*v - 4/5*v**3 + 8/5*v**2 = 0.
-3, -1, 6
Suppose 860 = -0*c - 5*c - 2*h, -c + 5*h - 172 = 0. Let p = 176 + c. Suppose 6*s**3 + 0 + 0*s - 3/2*s**2 - 6*s**p = 0. Calculate s.
0, 1/2
Let g(j) be the second derivative of -j**4/72 - 4*j**3/9 - 16*j**2/3 + 146*j. Suppose g(n) = 0. What is n?
-8
Find k, given that -3/4*k**3 - 3/4*k**2 + 9/2*k + 0 = 0.
-3, 0, 2
Solve 10*d**3 - 287 - 69*d - 39*d + 255 - 66*d**2 = 0 for d.
-1, -2/5, 8
Let x(f) be the second derivative of -f**7/21 + f**6/3 - 9*f**5/10 + 7*f**4/6 - 2*f**3/3 + 146*f. Factor x(l).
-2*l*(l - 2)*(l - 1)**3
Let n(v) be the first derivative of -v**4/30 + 12*v + 11. Let m(d) be the first derivative of n(d). Factor m(f).
-2*f**2/5
Let y = -13 + 25. Let j be (1 - -2)*8/y. Factor -2*b - 2*b - j*b - 3*b**2 - 3*b.
-3*b*(b + 3)
Let w = 1003 + -998. Let j(y) be the first derivative of 0*y + 9 + 1/15*y**3 - 1/25*y**w - 1/10*y**4 + 1/5*y**2. Suppose j(i) = 0. What is i?
-2, -1, 0, 1
Let s be 32/24 - 28/22. Let g(b) be the third derivative of -5/132*b**4 + 0 + s*b**3 + 0*b - 4*b**2 + 2/165*b**5 - 1/660*b**6. Factor g(y).
-2*(y - 2)*(y - 1)**2/11
Suppose -3*u + 6*u = -78. Let y(b) = -6*b**3 - b**2 + 9*b + 1. Let i(x) = 24*x**3 + 3*x**2 - 37*x - 3. Let t(s) = u*y(s) - 6*i(s). Factor t(f).
4*(f - 1)*(f + 1)*(3*f + 2)
Let i(n) = -n + 7 + 0*n**2 - n**2 + 5*n. Let o be i(5). Factor 3*v**3 + 8*v**o - 2*v**2 - 9*v**2.
3*v**2*(v - 1)
Let o = -169 - -2536/15. Let x(j) be the first derivative of 4 - o*j**3 + 0*j**2 + 4/5*j. Factor x(y).
-(y - 2)*(y + 2)/5
Suppose l = 2*f - 33, -5*l + 2*l = 3*f - 63. Factor 10*u - 6*u**2 + 4 + 4 + f*u**3 - 26*u.
2*(u + 1)*(3*u - 2)**2
Let x be ((-9)/60)/((-48)/40). Let d(r) be the first derivative of -1/20*r**5 + 0*r + 3/16*r**4 - 1/4*r**3 + x*r**2 - 3. Suppose d(w) = 0. What is w?
0, 1
Find g such that -6*g**3 - g**5 - 46*g**2 - 15*g**4 + 81*g**2 - 30*g + 10*g**3 + 11*g**3 - 4*g**5 = 0.
-3, -2, 0, 1
Suppose -t - 4*k = 14, 7 = 4*t + 5*k + 19. Let u be (-14)/(-42)*1*t. Factor 0 + u*r + 8/3*r**2.
2*r*(4*r + 1)/3
Let x(f) be the second derivative of f**6/75 - 2*f**4/15 + 3*f - 11. Solve x(u) = 0 for u.
-2, 0, 2
Let k(i) be the second derivative of 13/30*i**4 + 4/5*i**3 + 3/25*i**5 + 1/75*i**6 + 4/5*i**2 + 0 - 37*i. Factor k(j).
2*(j + 1)**2*(j + 2)**2/5
Let d be (2/(-45))/(9/(-45)). Let s(o) be the third derivative of 1/180*o**6 + 0*o + d*o**4 - 5*o**2 + 4/9*o**3 + 1/18*o**5 + 0. Factor s(y).
2*(y + 1)*(y + 2)**2/3
Factor -3/5*z**3 + 0 - 6/5*z**2 - 3/5*z.
-3*z*(z + 1)**2/5
Suppose -2*b - 1 - 3 = 0, -q + 2*b = -4. Suppose 2*v + 12 = 16. Let -3*f - 6*f**v + 5*f**2 + q*f = 0. What is f?
-3, 0
Let w(a) be the second derivative of a**5/180 - a**4/108 - a**3/27 + 5*a - 35. Factor w(q).
q*(q - 2)*(q + 1)/9
Let r be (18/(-81) - 707/(-225)) + (-4)/(-50). Suppose 0 - 1/3*x + 3/2*x**2 + 11/6*x**4 - 1/2*x**5 - 5/2*x**r = 0. Calculate x.
0, 2/3, 1
Suppose 22 = 10*d + 12. Let q(k) = k**3 + k**2 - k + 3. Let l be q(0). Solve -d - 8*r + 6 