) + 1/(-3) - 0. Let m(z) be the first derivative of -4/5*z**2 + 8/5*z + 7 + 2/15*z**n. Let m(r) = 0. What is r?
2
Suppose 11*w - 285 + 108 = -133. Factor 4/3*m**2 - 8*m + 8/3*m**3 - 6 - 2/3*m**w.
-2*(m - 3)**2*(m + 1)**2/3
Let l(w) be the first derivative of w**3/3 + w**2 - 8*w - 47. Let x be l(2). Factor 0*z**3 + 2/3*z**4 + x*z - 4/3*z**2 + 2/3.
2*(z - 1)**2*(z + 1)**2/3
Let t be (((-2)/24)/1)/(374/(-561)). Let x(k) be the third derivative of 3/20*k**5 + 7*k**2 + 0 + 0*k + 3/2*k**4 - t*k**6 + 2*k**3. Factor x(p).
-3*(p - 2)*(p + 1)*(5*p + 2)
Let 3*i**4 - 14001*i**2 + 15*i + 13980*i**2 + 3*i = 0. What is i?
-3, 0, 1, 2
Let i(p) be the first derivative of -p**4/2 - 2*p**3/3 + 10*p**2 - 16*p + 9. Solve i(l) = 0.
-4, 1, 2
What is t in 0 + 2/3*t**2 + 2/3*t**3 + 0*t = 0?
-1, 0
Let p = -250 - -2252/9. Let q(a) be the first derivative of 2/27*a**3 + 1/18*a**4 - 10 + 0*a - p*a**2. Factor q(s).
2*s*(s - 1)*(s + 2)/9
Let i(w) = 2*w - 14. Let u be i(8). Suppose -6*k + 5 = 5*j - k, 5*j - u = -2*k. Solve 2/7*y**3 + j + 0*y + 0*y**2 + 2/7*y**4 = 0.
-1, 0
Let d(j) = 12 - 2*j**3 - 5*j + 4*j - 4 + 12*j**2. Let h be d(6). Let -18*u + 4*u**h - 4*u + 64 + 10*u - 20*u = 0. Calculate u.
4
Let q(r) = -2*r**2 + 3*r - 1. Let g(v) = 10*v**2 - 30*v + 20. Let a(p) = -g(p) - 4*q(p). Solve a(s) = 0 for s.
1, 8
Factor 5*x**2 - 3*x**4 - 96 + 879*x - 1783*x + 15*x**3 + 808*x + 13*x**2.
-3*(x - 4)**2*(x + 1)*(x + 2)
Let q(l) be the second derivative of 0 + 9/20*l**5 + 0*l**2 - 1/20*l**6 - 5/8*l**4 + 0*l**3 + 13*l. Factor q(x).
-3*x**2*(x - 5)*(x - 1)/2
Let t(m) be the second derivative of -m**4/66 - 2*m**3/33 + 15*m**2/11 - 2*m - 2. What is v in t(v) = 0?
-5, 3
Let i(o) = 18*o**2 + 4*o - 1. Let b be i(2). Suppose -19*n - 409*n**2 + 414*n**2 + 180 + b*n = 0. Calculate n.
-6
Suppose -8 = -0*v + v + 4*h, 0 = -4*v + 4*h + 28. Let y be (7/v - 2)/(2 + -3). Factor -1/4*g**2 + 1/2 + y*g.
-(g - 2)*(g + 1)/4
Let n(h) be the first derivative of -4/21*h**3 - 18 + 0*h + 2/7*h**2. Find u, given that n(u) = 0.
0, 1
Let i(u) = -2*u**4 - 12*u**3 + 29*u**2 - 12*u - 3. Let d(s) = s**4 + 11*s**3 - 27*s**2 + 13*s + 2. Let l(b) = 3*d(b) + 2*i(b). Factor l(f).
-f*(f - 5)*(f - 3)*(f - 1)
Let r be (56/(-70))/((-16)/30). Factor -2*v**2 + r*v**4 + 2*v**3 + 0*v + 0.
v**2*(v + 2)*(3*v - 2)/2
Let q(t) be the second derivative of -7*t + 0*t**2 + t**3 - 2/5*t**5 + 1/6*t**4 - 1. Suppose q(c) = 0. What is c?
-3/4, 0, 1
Solve 154 - 62 - 2*j**2 - 2*j - 52 = 0 for j.
-5, 4
Suppose 0 = -2*c - 4 + 8. Factor 4 - 5 - 2*i + 5 + 2*i**2 - 4*i**c.
-2*(i - 1)*(i + 2)
What is t in 2*t**4 + 7 + 19*t**2 - 22*t - 6*t**4 + 28*t**3 + 7*t**2 - 23*t**2 = 0?
-1, 1/2, 7
Suppose -17*n = -3*z - 14*n + 15, z + 5*n + 13 = 0. Factor -1/5*j**z + 0 - 1/5*j.
-j*(j + 1)/5
Suppose 529/8 + 1/8*x**2 + 23/4*x = 0. What is x?
-23
Let b(r) = 2*r**2 - 15*r + 9. Let t be b(7). Factor t*g**3 + g**5 + 4*g**2 + 1 - 4*g - 5*g**4 + 12*g**5 - 11*g**5.
(g - 1)**3*(g + 1)*(2*g - 1)
Let h(y) be the third derivative of y**7/1260 + y**6/180 + y**5/60 - y**4/3 - 9*y**2. Let x(l) be the second derivative of h(l). Factor x(b).
2*(b + 1)**2
Factor -1/4*s**3 - 3/2*s**2 - 2*s + 0.
-s*(s + 2)*(s + 4)/4
Let b = 65 - 40. Factor 32*j - 35 + 20*j**2 + b + j**3 + 26 + 3*j**3.
4*(j + 1)*(j + 2)**2
Let j be (-3)/4 + (-123)/12. Let w = j + 15. What is n in -11 - w*n + 11 - 2*n**2 = 0?
-2, 0
Let u(w) be the second derivative of -w**6/45 - w**5/2 + 17*w**4/18 + 5*w**3/3 - 16*w**2/3 + w + 3. Suppose u(l) = 0. Calculate l.
-16, -1, 1
Factor -619520/13*n**3 - 9595125760/13*n + 109035520/13*n**2 + 1760/13*n**4 + 337748426752/13 - 2/13*n**5.
-2*(n - 176)**5/13
Suppose -155 = -3*x - 149. Suppose 4*z = -u - 18, x*u = 3*z - 10 + 29. Let 1/2*l**2 + u + 2*l = 0. Calculate l.
-2
Let t = 337 - 330. Let q(r) be the third derivative of 0*r**4 + 1/10*r**5 + 0*r + 0 + 0*r**6 - 1/2*r**3 - 3*r**2 - 1/70*r**t. Suppose q(a) = 0. What is a?
-1, 1
Let 5*o**4 - 75*o + 64 - 44*o**2 - 17*o**3 - o**5 + 43*o + 25*o**3 = 0. Calculate o.
-2, 1, 4
Let o(t) be the first derivative of t**4/14 - 2*t**3/21 - 4*t**2/7 + 8*t/7 - 237. Factor o(p).
2*(p - 2)*(p - 1)*(p + 2)/7
Let f be (43 - (8 - 5 - 1)) + -2. Suppose 63*x - f = 50*x. Factor 0 + 1/6*k**2 - 1/3*k - 1/6*k**4 + 1/3*k**x.
-k*(k - 2)*(k - 1)*(k + 1)/6
Let n(f) be the third derivative of 0 + 13/20*f**5 - 2*f**3 + 49*f**2 - 9/70*f**7 + 2*f**4 - 2/5*f**6 + 0*f. What is u in n(u) = 0?
-2, -1, 2/9, 1
Let t(b) = 13*b**3 - 84*b**2 - 171*b + 70. Let n(c) = 28*c**3 - 168*c**2 - 342*c + 142. Let d(j) = -2*n(j) + 5*t(j). Determine p so that d(p) = 0.
-2, 1/3, 11
Let z(l) be the second derivative of l**9/9072 - l**7/756 + l**5/72 - l**4/3 - 31*l. Let f(u) be the third derivative of z(u). Factor f(j).
5*(j - 1)**2*(j + 1)**2/3
Let p(z) be the first derivative of -7*z**3/3 - 10*z**2 - 12*z + 122. Suppose p(f) = 0. Calculate f.
-2, -6/7
Suppose -53*x - 168 = -60*x. Let o be 80/(-22) + 96/x. Factor 2/11*l**4 + 2/11 + 0*l - o*l**2 + 0*l**3.
2*(l - 1)**2*(l + 1)**2/11
Factor -192/7 - 3/7*z**4 + 48*z - 6*z**3 - 99/7*z**2.
-3*(z - 1)**2*(z + 8)**2/7
Suppose 0 = -0*n + 6*n + 24. Let k(t) = 2*t**2 + 2*t - 4. Let o(y) = 5*y**2 + 4*y - 9. Let h(d) = n*o(d) + 9*k(d). Find m such that h(m) = 0.
0, 1
Let f(b) be the third derivative of 3*b**7/350 + 67*b**6/200 + 29*b**5/20 + 101*b**4/40 + 2*b**3 + 4*b**2 - 7. Solve f(z) = 0 for z.
-20, -1, -1/3
Suppose 5 = d + d - w, 5*w + 5 = 0. Suppose 4*n = 13*n - 18. Factor d*y + 0*y - 4*y**n - 2*y**3 + 4*y**3.
2*y*(y - 1)**2
Let d be (4/80*4)/((-4)/(-5)). Factor d + 1/2*z + 1/4*z**2.
(z + 1)**2/4
Let x(w) = -26*w**5 - 30*w**4 + 14*w**3 + 10*w**2 + 2*w. Let y(n) = 105*n**5 + 122*n**4 - 58*n**3 - 39*n**2 - 9*n. Let d(g) = 9*x(g) + 2*y(g). Solve d(c) = 0.
-1, -3/4, 0, 2/3
Let n be 0/1*(-2 + 3). Let h be 2 + 2 - n/(-8). Factor 6*y**3 + h - 21*y**2 + 0*y**3 + 6*y + 9*y**4 - 4.
3*y*(y - 1)*(y + 2)*(3*y - 1)
Suppose -2*d - 18*d**4 + 2*d**3 - 4/3 + 58/3*d**2 = 0. What is d?
-1, -2/9, 1/3, 1
Let s(l) = l**3 - 29*l**2 - 44*l + 244. Let p(j) = -30*j**2 - 45*j + 245. Let h(x) = 4*p(x) - 5*s(x). Solve h(b) = 0.
-3, 4
Let r be (29 - 671/22)/((-6)/26). Factor -r*f**2 - 8 + 3/4*f**3 + 16*f.
(f - 4)**2*(3*f - 2)/4
Let 59*r**2 - 39*r**4 - 189*r**3 - 156*r**2 - 3*r**5 - 226*r**2 + 45*r**2 - 127*r**2 - 324*r = 0. Calculate r.
-4, -3, 0
Let c(s) = 3*s**3 + 234*s**2 - 481*s + 240. Let d(x) = -5*x**3 - 470*x**2 + 965*x - 480. Let p(i) = -5*c(i) - 2*d(i). Factor p(y).
-5*(y - 1)**2*(y + 48)
Factor -15*a**2 + 187 - 12*a**2 + 3*a**3 - 223 + 60*a.
3*(a - 6)*(a - 2)*(a - 1)
Let z(l) = -6*l + 86. Let k be z(14). Solve 8/3*v + 4*v**k + 0*v**3 + 0 - 4/3*v**4 = 0 for v.
-1, 0, 2
Find g, given that 0 + 5/2*g**3 + 30*g + 20*g**2 = 0.
-6, -2, 0
Suppose 0*t - 5*t + 145 = 0. Let n = t - 29. Let -2/7*j + n + 2/7*j**2 = 0. What is j?
0, 1
Determine v, given that -168 + 106*v - 18*v - 133*v**2 + 215*v**2 - 2*v**3 = 0.
-2, 1, 42
Let s(u) be the first derivative of -u**6/21 - 2*u**5/35 + 3*u**4/14 + 10*u**3/21 + 2*u**2/7 - 210. Factor s(j).
-2*j*(j - 2)*(j + 1)**3/7
Let r(c) be the second derivative of 1/8*c**4 - 3/4*c**3 + 3/2*c**2 + 0 + 28*c. Factor r(w).
3*(w - 2)*(w - 1)/2
Factor 0 + 4/3*t + 2/3*t**2.
2*t*(t + 2)/3
Let k(r) = 8*r**4 + 12*r**3 - 20*r**2 - 54*r. Let g(o) = -15*o**4 - 25*o**3 + 40*o**2 + 110*o. Let p(h) = -3*g(h) - 5*k(h). Let p(y) = 0. Calculate y.
-3, -2, 0, 2
Suppose 0 = 2*s - x - 45, 2*s - 6*s + 95 = -3*x. Let j = -14 + s. Determine p, given that -5*p**2 - 2*p**2 - 8*p + 4*p**2 - p - j = 0.
-2, -1
Let u be (-479)/9101 + (-39)/(-19). Determine z so that -1/2 + 1/2*z**u + 1/2*z - 1/2*z**3 = 0.
-1, 1
Let y be -1 - 1 - 21/(-10). Let v(q) = -8*q + 66. Let r be v(8). Solve -y*w**5 + 1/2*w**4 - 7/10*w**3 - 1/10*w**r - 2/5 + 4/5*w = 0.
-1, 1, 2
Let y be (-2 - (-25)/8)/((375/20)/25). What is f in y*f + 3/2*f**2 + 0 = 0?
-1, 0
Let a(z) be the first derivative of -z**4/22 + 2*z**3/11 + 18*z**2/11 - 80*z/11 + 425. Let a(p) = 0. Calculate p.
-4, 2, 5
Let x(b) be the first derivative of -16 + 1/6*b**3 - 1/2*b**2 + 1/2*b. Determine u so that x(u) = 0.
1
Let r be -1*5 - (-354)/(-210)*-3. Let n(o) be the first derivative of 2/7*o**2 + 9 + 2/21*o**3 - 1/7*o**4 + 0*o - r*o**5. Solve n(h) = 0 for h.
-2, -1, 0, 1
Let n(y) be the second derivative of 3*y**5/20 - 6*y**4 + 65*y*