(m - 2)*(m - 1)*(m + 3)/7
Suppose 204*b - 52*b + 30*b = 364. Factor b*y + 2/3*y**2 - 8/3.
2*(y - 1)*(y + 4)/3
Let i = -2044 + 2047. Factor -3/2*h**3 + i*h**4 + 0*h + 0*h**2 + 0 - 3/2*h**5.
-3*h**3*(h - 1)**2/2
Let k = 19 + -14. What is n in -1 - 47 - 3*n**4 - k*n**3 - 3*n**2 + 72*n - 5*n**3 - 8*n**3 = 0?
-4, 1
Let z(g) = 9*g**2 - 32*g + 20. Let p(t) = 110*t**2 - 385*t + 240. Let k(j) = 3*p(j) - 35*z(j). Let k(v) = 0. What is v?
1, 4/3
Let j = -112645/9 + 12478. Let a = j + 39. Let -32/9*d - 14/9*d**4 + 2/3*d**2 + a + 32/9*d**3 = 0. Calculate d.
-1, 2/7, 1, 2
Let u(s) be the first derivative of s**4/5 + 4*s**3 + 54*s**2/5 + 52*s/5 - 453. Solve u(y) = 0 for y.
-13, -1
Suppose -3*r = -5*r + 10. Let x be (-10)/(-2) + (r - 8). Factor 8 - 6 + 0*w + 0*w - x*w**2.
-2*(w - 1)*(w + 1)
Suppose 0 = 4*h + 8, -2*h - 46 = 3*b + 3*h. Let c(g) = 3*g**2 + 2*g - 4. Let f(u) = -u**2 + 1. Let j(x) = b*f(x) - 3*c(x). Solve j(v) = 0 for v.
0, 2
Let j = 473 + -473. Solve 1/3*o**5 + 0 + 2/3*o**4 + j*o - 2/3*o**2 - 1/3*o**3 = 0.
-2, -1, 0, 1
Let q(d) = d**2 + 4*d - 9. Let b(n) = -5*n + 1. Let z(r) = 6*r - 1. Let f(w) = 5*b(w) + 4*z(w). Let i(p) = 6*f(p) + q(p). Solve i(o) = 0.
-1, 3
Let a(n) = n**4 + n**3 + n. Let u = -29 - -32. Let h(z) = 3*z**3 + 5*z**2 + z. Let q be (6/4)/(2/4). Let f(o) = q*h(o) + u*a(o). Factor f(l).
3*l*(l + 1)**2*(l + 2)
Let t(s) be the third derivative of 13*s**2 - 1/1140*s**6 + 0 - 50/57*s**3 + 4/285*s**5 + 2*s - 5/228*s**4. Factor t(f).
-2*(f - 5)**2*(f + 2)/19
Let k be (-93)/(-15) - (-180)/(-150). Solve -z**4 + 1/2*z - 1 + 2*z**2 - z**3 + 1/2*z**k = 0 for z.
-1, 1, 2
Let d(g) be the first derivative of -2*g**2 + 8/5*g + 6/5*g**3 + 41 - 7/20*g**4 + 1/25*g**5. Find h such that d(h) = 0.
1, 2
Let u(b) be the second derivative of b**4/66 - 178*b**3/33 + 7921*b**2/11 - 18*b - 4. Factor u(q).
2*(q - 89)**2/11
Let z(x) be the first derivative of -x**5/210 + x**4/21 - 8*x**2 + 6. Let h(y) be the second derivative of z(y). Factor h(t).
-2*t*(t - 4)/7
Suppose -5*r = -4*l + 23, -3*l + 7 = r + 4. Let d be (-4)/96*-6 + 2/8. Factor -d*w**3 + w + 1/2*w**l + 0.
-w*(w - 2)*(w + 1)/2
Suppose o + 74 = -5*b + 215, -2*b + 3*o + 53 = 0. Suppose 0 = 20*h - 6*h - b. Solve 0 + 4/5*c + 14/5*c**3 - 18/5*c**h = 0 for c.
0, 2/7, 1
Find t such that -2*t**3 + 26/5 + 46/5*t**2 - 62/5*t = 0.
1, 13/5
Let a = -2 + 4. Let z = 364/3 + -121. Solve -1/3*h**a - h**3 + 0 + h**5 + z*h**4 + 0*h = 0.
-1, -1/3, 0, 1
Let a(k) = -50*k**3 - 170*k**2 - 85*k. Let f(q) = q**2 - 2*q. Let p be f(7). Let m(d) = 3*d**3 + 10*d**2 + 5*d. Let o(u) = p*m(u) + 2*a(u). Factor o(t).
5*t*(t + 1)**2
Let a(f) be the second derivative of f**4/90 + 4*f**3/45 + f**2/5 + 537*f. Factor a(o).
2*(o + 1)*(o + 3)/15
Let m(j) be the third derivative of -j**7/42 - 5*j**6/24 - 3*j**5/4 - 35*j**4/24 - 5*j**3/3 - 4*j**2 + 2*j. Factor m(p).
-5*(p + 1)**3*(p + 2)
Let b(n) be the first derivative of -n**3/9 - 7*n**2/6 + 10*n - 117. Factor b(d).
-(d - 3)*(d + 10)/3
Suppose 0 = -5*r - 81*r - 85*r. Let -3/4*s**2 + 3/4*s**4 - 3/2*s + 3/2*s**3 + r = 0. What is s?
-2, -1, 0, 1
Let f(k) be the third derivative of -k**8/110880 - k**7/13860 + 11*k**5/30 + 19*k**2. Let o(j) be the third derivative of f(j). Factor o(w).
-2*w*(w + 2)/11
Let j(s) = -11*s**4 + 2*s**2 - 8*s**4 + 24*s**4. Let m(h) = h**2. Let c(f) = -j(f) + 2*m(f). Factor c(a).
-5*a**4
Let g be (-2)/(-12) + (-4275)/(-6750). Factor -2/5*l**2 - g - 6/5*l.
-2*(l + 1)*(l + 2)/5
Let j(w) be the first derivative of -7*w**4/24 + w**3/6 + 17*w - 11. Let i(v) be the first derivative of j(v). Factor i(x).
-x*(7*x - 2)/2
Let r be ((-8)/(-14))/(20/350). Factor -22*j**4 + 15*j**5 - 20*j**3 + r*j**5 - 18*j**4.
5*j**3*(j - 2)*(5*j + 2)
Let h = 4160 + -16639/4. Solve 0 - 1/2*g**4 + 2*g**5 + 0*g + 0*g**2 - h*g**3 = 0 for g.
-1/4, 0, 1/2
Let p(l) = l**3 + 4*l**2 - 5*l - 22. Let o be p(-3). Suppose -3*b + o*b + 9*b = 0. Factor -2/3*v**3 + b + 0*v**2 + 0*v.
-2*v**3/3
Let f = 5960 + -5955. Suppose 1 = -b + 4. Find p, given that -p - 2/3 + 2*p**b - 2/3*p**4 + 4/3*p**2 - p**f = 0.
-1, -2/3, 1
Let c(j) = j - 6. Let d be c(9). Factor -3*z**3 - 18*z - 8*z**d + 2*z**3 - 33*z**2.
-3*z*(z + 3)*(3*z + 2)
Let l(o) be the first derivative of 8*o**5/105 - 95*o**4/42 + 40*o**3/21 + 205*o**2/21 + 92*o/21 + 453. What is h in l(h) = 0?
-1, -1/4, 2, 23
Suppose 4*a + 104 = 8*a. Determine i, given that 4*i**3 - a*i**2 + 17*i**2 + 13*i**2 = 0.
-1, 0
Let t(s) = 10*s**2 + 272*s - 255. Let y(u) = -16*u**2 - 408*u + 382. Let f(v) = -14*t(v) - 9*y(v). Suppose f(p) = 0. What is p?
1, 33
Let d = 734/69 + -960944/90321. Let h = 160/187 - d. Solve -2/7*w**2 + 8/7*w - h = 0.
1, 3
Let v(a) be the first derivative of -2*a**5/25 + a**4/2 - 2*a**3/5 - 9*a**2/5 + 316. Suppose v(c) = 0. Calculate c.
-1, 0, 3
Let b be (-18)/81*(-60)/34. Let v = b + -1/17. Factor -1/6*t**3 + 0*t**2 + 1/2*t - v.
-(t - 1)**2*(t + 2)/6
Let t = 365/488 - 121/488. Let x be ((-4)/(-3) + -1)/1. What is d in t*d + 1/6*d**2 + x = 0?
-2, -1
Let t be ((-187)/51)/(-1 - 2). Suppose 2/9*s + 0 - t*s**2 = 0. What is s?
0, 2/11
Let o be -1 - 113/(-28) - 156/208. Find q, given that -256/7*q + 1024/7 + o*q**3 + 32/7*q**4 - 320/7*q**2 + 4/7*q**5 = 0.
-4, 2
Let 3195 + 3192 + 56*k**3 + 76*k - 9*k**4 - 111*k**2 - 6399 = 0. What is k?
2/9, 1, 2, 3
Let i(j) be the first derivative of 2 - 12/5*j**2 + 1/5*j**3 + 48/5*j. Let i(u) = 0. Calculate u.
4
Let f be (-183)/(-2) + -1 + -4 + 4. Let n = f - 89. Factor -3/2*a**2 + n*a - 1/2 + 1/2*a**3.
(a - 1)**3/2
Find p such that -665858/15*p**2 - 8/15 + 4616/15*p = 0.
2/577
Let u(w) be the second derivative of -5*w**3 - 15/4*w**4 + 0 - 7*w - 5/2*w**2 - w**5. Solve u(o) = 0.
-1, -1/4
Suppose n = a + 3, 3*a - 5*a - 2 = 0. Factor -4*w**n - 55*w - 6 + 10 + 14*w**2 + 21.
5*(w - 5)*(2*w - 1)
Let s(x) be the first derivative of x**4/4 - 10*x**3/3 + 6. Let s(o) = 0. What is o?
0, 10
Let o be 3 + (2 - 3) - 0. Suppose o*h = d - 13, 0 = -d + 2*d - 3*h - 10. Factor -5 - d + 5*l**2 - 15*l + 4.
5*(l - 4)*(l + 1)
Let r be (-222)/(-72) + (-72)/864. Factor 5/6*p**2 - 4/3*p - 1/6*p**r + 2/3.
-(p - 2)**2*(p - 1)/6
Let 25/3*x**4 + 5/3*x**5 + 20/3*x**3 + 0*x + 0*x**2 + 0 = 0. What is x?
-4, -1, 0
Let a be 8 + (-1 - (-1 + -2)). Let u be (a/(-25))/(12/(-20)). Determine j, given that 0 + 4*j**3 - 6*j**2 - u*j**4 + 0*j = 0.
0, 3
Let a(d) be the third derivative of -d**8/336 + 3*d**7/70 - d**6/4 + 11*d**5/15 - d**4 - 27*d**2. Factor a(p).
-p*(p - 3)*(p - 2)**3
Let n(b) = 15*b**3 - 39*b**2 + 25*b - 5. Let k(t) = 31*t**3 - 76*t**2 + 49*t - 10. Let d(g) = -6*k(g) + 13*n(g). Determine p, given that d(p) = 0.
1/3, 5
Suppose 8/7*y**2 - 23/7*y + 2 = 0. Calculate y.
7/8, 2
Find a such that 108 - 4*a**2 - 32*a + 0*a**2 - 72*a = 0.
-27, 1
Solve -6 + m + 3*m - 2 + 25*m**2 - 21*m**2 = 0.
-2, 1
Suppose -3*l + 1 + 8 = 0. Let q(s) be the second derivative of 0 - 2*s + 1/70*s**5 - 1/7*s**2 + 1/42*s**4 - 1/21*s**l. Factor q(z).
2*(z - 1)*(z + 1)**2/7
Let g = -9681/2 + 4990. Let f = g + -149. Factor 1/4*x - 1/4*x**2 + f.
-(x - 2)*(x + 1)/4
Suppose 5*h = 3*w + h + 1, 0 = -3*w - 2*h - 13. Let z be 69/18 - (0 - w/18). Factor q**3 + 8/3*q + z*q**2 - 4/3.
(q + 2)**2*(3*q - 1)/3
Let z(j) be the first derivative of -2 - 9/2*j**2 - j**3 - 3/5*j**5 + 6*j + 9/4*j**4. Factor z(x).
-3*(x - 2)*(x - 1)**2*(x + 1)
Let x(j) be the first derivative of -j**5/15 - j**4/2 + 8*j**3/3 + j**2/2 + 2. Let f(m) be the second derivative of x(m). Let f(c) = 0. What is c?
-4, 1
Solve -400 + 122*b + 774 - 126*b**2 - 370 = 0.
-2/63, 1
Let n = 63 + -38. Let d = 28 - n. Factor 0 - 1/3*u**2 - 1/3*u**d + 0*u.
-u**2*(u + 1)/3
Let l(y) be the first derivative of 3/4*y**4 + 0*y - 9/5*y**5 + 3*y**3 + 1/2*y**6 - 3*y**2 + 2. Factor l(n).
3*n*(n - 2)*(n - 1)**2*(n + 1)
Let l(o) = -o**2 + o. Let y(q) = -28*q**2 - 48*q + 24. Let x(d) = 44*l(d) - 2*y(d). Factor x(a).
4*(a + 12)*(3*a - 1)
Let p be 63/6*12/9. Suppose -9*m**3 + 75*m + 45 + 0*m**3 + 35*m**2 + p*m**3 = 0. What is m?
-3, -1
Let w(j) be the third derivative of -1/10*j**5 + 0*j**3 + 1/8*j**4 + 0*j + 11*j**2 + 0 + 1/40*j**6. Factor w(a).
3*a*(a - 1)**2
Let g(z) = -z**3 - 7*z**2 + 7*z - 5. Let b be g(-8). Factor -5*v - 2*v - 5*v**b + 13*v - v.
-5*v*(v - 1)*(v + 1)
Let i(q) = 5*q**2 - 30*q + 40. Let b(w) = -w**2 + 2*w. Let l(v) = -14*b(v) - 2*i(v). Factor l(