 = 0. Calculate y.
-6, -1
Suppose 3*h = -i - 3*i + 83, -2*i = 5*h - 157. Suppose -h*l + 12 = -27*l. Find p, given that p**l - 3/2*p - 3/2*p**4 + p**3 + 1/2 + 1/2*p**5 = 0.
-1, 1
Suppose -77*b = -80*b - 3*i + 6, 0 = i. Factor 8/5 + 2*c + 2/5*c**b.
2*(c + 1)*(c + 4)/5
Let k be ((-4)/(-30))/((-24)/(-3)). Let h(m) be the second derivative of 0 - 1/12*m**4 - 1/6*m**3 - k*m**5 - 1/6*m**2 - m. Factor h(u).
-(u + 1)**3/3
Let v(k) be the third derivative of -1/420*k**7 + 0*k**4 - 1/60*k**6 - 20*k**2 + 0*k + 0*k**3 - 1/40*k**5 + 0. Factor v(l).
-l**2*(l + 1)*(l + 3)/2
Let h(q) = 2*q**2 - 7*q - 34. Let j be h(-3). Suppose 22*r**j + 2*r**3 - 21*r**5 - 3*r**3 = 0. What is r?
-1, 0, 1
Let i be ((-1)/6)/(-12 - -9). Let n(x) be the third derivative of -1/60*x**5 - i*x**3 + 0 + 0*x - 5*x**2 - 1/360*x**6 - 1/24*x**4. Solve n(q) = 0.
-1
Let m be -3 + -7 + -10 + 20. Let r(w) be the first derivative of 5 + 3/8*w**2 - 3/32*w**4 - 1/8*w**3 + m*w. Factor r(i).
-3*i*(i - 1)*(i + 2)/8
Let x(g) be the third derivative of 1/120*g**6 - 1/60*g**5 + 0*g**3 + 0*g + 0 + 0*g**4 + 2*g**2 - 1/840*g**7. Factor x(k).
-k**2*(k - 2)**2/4
Let x(o) = o**3 - 10*o**2 + 13*o + 26. Let m be x(8). Let n be 9/(-2) + 5 - (-3)/m. Find w, given that 12/5 + 3/5*w**3 - 9/5*w**n + 0*w = 0.
-1, 2
Let j = -302/5 - -2728/45. Factor j*d**3 - 2 + 10/9*d**2 + 2/3*d.
2*(d - 1)*(d + 3)**2/9
Let i(q) = -q**2 - q. Let b(f) = -18*f**3 + 13*f**2 + 41*f + 16. Let k(h) = -2*b(h) - 2*i(h). Suppose k(l) = 0. What is l?
-2/3, 2
Suppose -4*u - 5 + 2 = -3*z, -5*u + 35 = 4*z. Solve z*o + o - 10*o**2 - o + 10*o**4 - 5*o**5 = 0 for o.
-1, 0, 1
Let i(z) = z**3 - 14*z**2 - 32*z. Let q be i(16). Let g(p) be the first derivative of q*p - 1/6*p**3 - 4 + 0*p**2 + 1/16*p**4. Determine l, given that g(l) = 0.
0, 2
Let d(x) be the third derivative of 5*x**8/448 + 13*x**7/210 + 49*x**6/480 + x**5/30 - x**4/24 - 79*x**2. Suppose d(o) = 0. Calculate o.
-2, -1, -2/3, 0, 1/5
Factor 21/2 - 1/4*a**5 + 9*a**3 + 125/4*a + 61/2*a**2 - a**4.
-(a - 6)*(a + 1)**3*(a + 7)/4
Suppose -2*o + 8 = 10. Let s(u) = 18*u**3 + 3*u**2 + 6*u - 15*u**3 - 3*u**4 - 3*u**4. Let n(p) = -p. Let y(v) = o*s(v) - 6*n(v). Factor y(l).
3*l**2*(l - 1)*(2*l + 1)
Determine n so that 2*n - 4*n**3 + 171*n**2 + 174*n**2 - 355*n**2 + 12 = 0.
-2, -3/2, 1
Let f(c) = -c**4 + c**3 - c**2 + c. Let x = 3 + -6. Let p(i) = -3*i**3 + 5*i - 6*i + i + 3*i. Let k(l) = x*f(l) + p(l). Find h such that k(h) = 0.
0, 1
Let a be ((-4)/(-6))/((-1)/64*2). Let n = -21 - a. Find s, given that -s**2 + 4/3 + 0*s + n*s**3 = 0.
-1, 2
Suppose -2*r - 3*g = 15, -21*r + 19*r = -2*g - 10. Let s(l) be the first derivative of -1/3*l**3 + 5 + r*l + 3/2*l**2. Factor s(a).
-a*(a - 3)
Let d(x) be the third derivative of -9/455*x**7 - 2/39*x**4 - 3/130*x**6 + 9/728*x**8 + 14/195*x**5 + 0*x**3 + 0 - 7*x**2 + 0*x. Factor d(r).
2*r*(r + 1)*(3*r - 2)**3/13
Let m(b) = 2*b**3 - 3*b**2 + 36*b - 35. Let y be m(1). Factor -1/4*s - 1/2*s**4 + 1/2*s**2 + 1/4*s**5 + y + 0*s**3.
s*(s - 1)**3*(s + 1)/4
Let c(d) be the second derivative of -d**4/30 - d**3/3 - 6*d**2/5 + 5*d + 1. Factor c(m).
-2*(m + 2)*(m + 3)/5
Let l = 425 - 421. Let q(f) be the third derivative of 0 + 0*f - 2*f**2 - 1/20*f**l + 2/15*f**3 + 1/150*f**5. Factor q(x).
2*(x - 2)*(x - 1)/5
Let m be 20/12 + 1 + -3 + 42/18. Find u such that 0 - 10/13*u - 2/13*u**m = 0.
-5, 0
Let p(d) be the second derivative of 0 + 0*d**3 + 1/15*d**4 + 17*d + 1/50*d**5 + 0*d**2. Let p(s) = 0. Calculate s.
-2, 0
Let f = -50 - -56. Suppose 2*l = -l + f. Find w such that -2/7*w + 0 - 6/7*w**l = 0.
-1/3, 0
Let u be 45/6*(-2)/(-3). Suppose 0*k + 25 = u*k. Determine g, given that -32*g**3 + 16*g**2 + 17*g**4 + 29*g**5 + 32*g - 3*g**4 - 31*g**k - 32 = 0.
-1, 2
Let n(j) be the first derivative of 0*j - 1/9*j**3 - 1/6*j**4 - 6 + 0*j**2 - 1/15*j**5. Find i such that n(i) = 0.
-1, 0
Let u = -26 - -43. Let i = -14 + u. Factor -2/7*w**i + 2/7*w**2 + 2/7*w - 2/7.
-2*(w - 1)**2*(w + 1)/7
Find o, given that -6241/5 - 156/5*o**3 + 12324/5*o - 1/5*o**4 - 5926/5*o**2 = 0.
-79, 1
Let u(h) = 10*h**2 - 5*h - 2. Let w be u(3). Factor -w*t + 3 - 44*t**2 + 9*t - 6*t**3 + 61.
-2*(t + 4)**2*(3*t - 2)
Suppose -q + 25 = 4*q. Let z = 7 - q. Determine n, given that -4*n**2 - 120*n**3 + 8 + 8 + 100*n**4 - 20*n**z - 20*n**2 + 48*n = 0.
-2/5, 1
Let h(i) = 13*i**2 - 17*i - 15. Let p(s) = 63*s**2 - 84*s - 75. Let c(n) = 24*h(n) - 5*p(n). Factor c(r).
-3*(r - 5)*(r + 1)
Let p(c) be the third derivative of -625/3*c**3 - 1/42*c**7 + 17/24*c**6 + 1375/24*c**4 - 36*c**2 - 35/4*c**5 + 0 + 0*c. Let p(g) = 0. Calculate g.
2, 5
Factor -d**2 + d**4 + 0 + 1/3*d**3 + 1/3*d**5 - 2/3*d.
d*(d - 1)*(d + 1)**2*(d + 2)/3
Let t(y) be the second derivative of -13*y + 0*y**3 + 0 + 0*y**2 + 1/8*y**4. What is p in t(p) = 0?
0
Let y = 13170 - 13166. What is b in 16/5*b**3 - 16/5*b + 4 - y*b**2 = 0?
-1, 1, 5/4
Suppose 27 - 72 = -9*p. Let k(j) be the third derivative of 0*j**3 + 1/12*j**4 + 1/60*j**5 + 0*j + 0 + p*j**2. What is t in k(t) = 0?
-2, 0
Let n(b) = -11*b**5 + 5*b**4 - 2*b**3 + 8*b**2 + 13*b - 7. Let o(f) = 2*f**5 - f**4 - f**2 - 2*f + 1. Let s(r) = -n(r) - 6*o(r). Factor s(q).
-(q - 1)**3*(q + 1)**2
Suppose 0 = -16*j + 7*j. Factor j - 5/3*f**3 - 5/3*f**5 + 0*f**2 + 0*f - 10/3*f**4.
-5*f**3*(f + 1)**2/3
Let l(g) be the first derivative of g**6/2 + 24*g**5/5 + 57*g**4/4 + 12*g**3 + 125. Factor l(h).
3*h**2*(h + 1)*(h + 3)*(h + 4)
Let r(g) = -137*g + 548. Let q be r(4). Determine o so that q - 12/7*o - 6/7*o**2 = 0.
-2, 0
Let b = -257 + 259. Factor 0 - 3/2*f**3 - 3/4*f**4 - 3/4*f**b + 0*f.
-3*f**2*(f + 1)**2/4
Let z(b) be the second derivative of 1/27*b**3 + 24*b + 0 - 1/90*b**5 + 1/27*b**4 - 2/9*b**2. Find v such that z(v) = 0.
-1, 1, 2
Factor 361/9 + 1/9*a**2 - 38/9*a.
(a - 19)**2/9
Let p = 2992/21 + -142. Let i(x) be the first derivative of -p*x**3 + 4/7*x - 5 + 3/7*x**2. What is s in i(s) = 0?
-2/5, 1
Suppose 375*h + 42 = 389*h. Determine l so that -2*l**4 + l**h + 0 + 2*l**2 + 1/2*l - 3/2*l**5 = 0.
-1, -1/3, 0, 1
Let y(d) = 7*d**4 + 61*d**3 + 59*d**2 - 61*d - 54. Let p(x) = -2*x**4 - x**3 + x**2 + x - 1. Let i(g) = 6*p(g) + y(g). Suppose i(o) = 0. What is o?
-1, 1, 12
Let w = -6055 - -18167/3. Factor w*m**2 + 4/3 - 2*m.
2*(m - 2)*(m - 1)/3
Let v(i) be the second derivative of -2*i**4/33 + 7*i**3/11 + 18*i**2/11 + 3*i - 9. Let v(o) = 0. Calculate o.
-3/4, 6
Let f(r) = -r**2 - 14*r + 18. Let w = 259 - 274. Let o be f(w). Suppose 1/3*m**2 - 1/3*m + 1/3*m**o - 1/3*m**4 + 0 = 0. Calculate m.
-1, 0, 1
Let q(b) be the third derivative of b**8/15120 + b**7/1260 + 7*b**5/60 - 15*b**2. Let r(i) be the third derivative of q(i). What is g in r(g) = 0?
-3, 0
Let y(k) be the third derivative of k**6/2520 + k**5/840 + k**3/6 + 18*k**2. Let s(i) be the first derivative of y(i). Determine z, given that s(z) = 0.
-1, 0
Let h(a) = a**3 + 5*a**2 - 7*a - 4. Let c be h(-6). Solve 4/17*g + 2/17*g**c + 0 = 0 for g.
-2, 0
Let g(r) = -r**3 - 7*r**2 - 2*r - 10. Let d be g(-7). Factor -14*n - d - 2 - 4*n - 27*n**2 + 3.
-3*(3*n + 1)**2
Let k(i) be the first derivative of -4*i**5/3 + 13*i**4/3 + 68*i**3/3 - 78*i**2 - 72*i + 99. Determine b so that k(b) = 0.
-3, -2/5, 3
Suppose -4*x - 12 = 2*y, -16 = 5*y - 2*y + 5*x. Let o be (1*3)/((-9)/y). Solve 2/3*p**2 + 4/3*p + o = 0 for p.
-1
Let 7/3 + 1/6*z**2 - 3/2*z = 0. Calculate z.
2, 7
Factor -64/3 + 1/3*n**3 + 4/3*n**2 - 16/3*n.
(n - 4)*(n + 4)**2/3
Let z(j) be the first derivative of 5 - 1/6*j**3 + 0*j**2 + 5*j - 1/12*j**4. Let f(i) be the first derivative of z(i). Factor f(t).
-t*(t + 1)
Let w(a) be the second derivative of 0*a**4 - 2*a + 3/80*a**5 + 0 + 0*a**2 - 1/8*a**3. Let w(u) = 0. Calculate u.
-1, 0, 1
Let h = 1733/7224 - 13/56. Let a = h - -85/129. What is d in -1/3*d**5 - 4/3*d**2 + a - 1/3*d + 2/3*d**3 + 2/3*d**4 = 0?
-1, 1, 2
Factor -30/11*c**2 + 128/11*c**4 + 2/11*c + 0 + 96/11*c**3.
2*c*(c + 1)*(8*c - 1)**2/11
Let 5*r**5 + 145*r + 140*r**2 + 645 - 150*r**3 - 645 - 140*r**4 = 0. Calculate r.
-1, 0, 1, 29
Find v, given that -54/5*v**4 + 6*v**3 + 4/5 + 10*v + 26*v**2 = 0.
-1, -1/3, -1/9, 2
Let p be 3/(126/15)*(-1)/(-15). Let s(k) be the second derivative of -5*k + 1/7*k**3 + p*k**4 + 2/7*k**2 + 0. Factor s(f).
2*(f + 1)*(f + 2)/7
Let h be ((-248)/(-24) - 11)/(4/(-24)). Factor 3/2*b**h - 3/2*b**