q + r*q**2 + 16/3 + 2/3*q**3.
2*(q + 2)**3/3
Suppose -3*x + 2*p = 5*p - 45, -x + p = -5. Factor 3*r**3 + 3*r**4 - x*r**4 + 4*r**5 - 4*r**3 + 3*r**3 + r**2.
r**2*(r - 1)**2*(4*r + 1)
Let m be 14/(-42) - 1*2/(-3). Factor -m*g**3 + 0 + 1/3*g + 1/3*g**4 - 1/3*g**2.
g*(g - 1)**2*(g + 1)/3
Let w(v) = v - 2. Suppose -a + 0 = -8. Let l be w(a). Determine p so that 2 + l*p - p**2 - 2*p**2 - 3 - 2 = 0.
1
Let l = -11 + 20. Let o(x) = -16*x**3 - 44*x**2 - 29*x - 13. Let w(d) = -32*d**3 - 89*d**2 - 57*d - 27. Let h(a) = l*o(a) - 4*w(a). What is q in h(q) = 0?
-1, -3/4
Let h(y) = 10*y + 242. Let n be h(-24). Determine x so that 3*x**n + 0 + 9/5*x = 0.
-3/5, 0
Suppose 3 = -4*t + 23. Let h(o) = o**2 - 4*o - 5. Let b be h(t). Determine c so that b + 0*c**3 - 1/4*c**5 + 1/4*c - 1/2*c**4 + 1/2*c**2 = 0.
-1, 0, 1
Let y(j) = -9*j**5 - 13*j**4 - 9*j**3 + 9*j**2 + 2*j + 6. Let d(g) = -g**5 - g**4 - g**3 + g**2 + 1. Let r(v) = -6*d(v) + y(v). Factor r(h).
-h*(h + 1)**3*(3*h - 2)
Let l(v) be the third derivative of v**6/180 - v**4/12 + 2*v**3/9 - 2*v**2. Factor l(b).
2*(b - 1)**2*(b + 2)/3
Let j(a) be the first derivative of -3 + 4/5*a - 2/15*a**3 + 1/5*a**2. Suppose j(d) = 0. Calculate d.
-1, 2
Let w(t) be the second derivative of -t**6/30 + t**5/20 + t**4/6 - 10*t. Solve w(d) = 0 for d.
-1, 0, 2
Factor -s**4 - s - 4*s**2 + 2 + 7*s**2 - 4*s - 12*s**3 + 13*s**3.
-(s - 1)**3*(s + 2)
Find n, given that -1/7*n + 4/7*n**2 - 4/7*n**4 + 1/7*n**3 + 0 = 0.
-1, 0, 1/4, 1
Suppose 4*a = 123 + 41. Factor -a*j + 21*j - 3*j**2 + 26*j.
-3*j*(j - 2)
Suppose -5*p = 4*o + 2 - 0, -p + 4*o = -14. Factor -z + z - z**p - 5*z + 3*z.
-z*(z + 2)
Let v(u) = -u**2 + 20*u - 19. Let m be v(19). Factor 1/2*l**3 + 1/2*l**2 - 1/2*l**4 - 1/2*l + m.
-l*(l - 1)**2*(l + 1)/2
Let l(g) = 2*g**2 - 2*g - 1. Let s be l(2). Suppose -5*i = -3*j - 1, 0 = -i + s*i - 4*j + 8. Factor a**5 - 2*a**3 - 2*a**4 + 1 + 2*a**i - 4*a**2 + a + 3*a**4.
(a - 1)**2*(a + 1)**3
Let a(w) be the second derivative of -2*w**6/15 - 3*w**5/5 - w**4/3 + 2*w**3 + 4*w**2 + w. Factor a(t).
-4*(t - 1)*(t + 1)**2*(t + 2)
Suppose 0 = -5*u - 3 + 13. Suppose f**3 - f**4 + 0 + 0 + 4*f**2 - 2*f**u = 0. Calculate f.
-1, 0, 2
Let f(o) = o**2 + 3*o + 2. Let c be f(-2). Suppose -y + 2 = -c*y. Factor 0*i**2 + y*i**3 - 4*i**3 + 2*i + 2*i**4 - 2*i**2.
2*i*(i - 1)**2*(i + 1)
Let d be ((-4)/(-132))/((-2)/(-18)). Let u = 13/33 + d. Find v such that u*v**2 + 2*v + 4/3 = 0.
-2, -1
Factor -2*q**3 - 2*q + 2 + 6*q**3 - 24*q**2 - q**4 + 20*q**2 + 3*q**4 - 2*q**5.
-2*(q - 1)**3*(q + 1)**2
Let i(p) = 14*p**2 + 6*p - 44. Let w(m) = -5*m**2 - 2*m + 15. Let j(h) = 3*i(h) + 8*w(h). Factor j(u).
2*(u - 2)*(u + 3)
Factor 4*l**4 + 28*l**2 + 62*l**3 + 39*l**3 - 81*l**3 + 12*l.
4*l*(l + 1)**2*(l + 3)
Suppose 13 = -2*d + 39. Let y = -13 + d. Factor 0*w + y + 1/4*w**4 + 0*w**3 - 1/4*w**5 + 0*w**2.
-w**4*(w - 1)/4
Let a(o) = -5*o + 1. Let s be a(-1). Suppose 0*q**4 - q**4 - 4*q**3 - q**2 + s*q**3 = 0. What is q?
0, 1
Find m such that -m**3 + 1 - 2*m + 3*m - 7 + 6*m = 0.
-3, 1, 2
Let p = 227 - 224. Determine k so that 0 - 24/7*k**2 - 6/7*k**4 - 8/7*k - 22/7*k**p = 0.
-2, -1, -2/3, 0
Factor -l**2 + 2*l - 4*l + 0*l**2.
-l*(l + 2)
Let s(f) = -f + 6. Let g be s(6). Let x(h) be the first derivative of 0*h**2 - 1/4*h**4 + g*h - 1 + 1/3*h**3. Determine t so that x(t) = 0.
0, 1
Let w(o) be the first derivative of 2 - o**6 - 7*o**4 + o**2 - 4*o**3 + 2*o - 22/5*o**5. Factor w(a).
-2*(a + 1)**4*(3*a - 1)
Let d(x) be the third derivative of -x**8/448 + x**7/140 + 3*x**6/160 - x**5/20 - x**4/8 + 26*x**2. Solve d(l) = 0.
-1, 0, 2
Let p be 2 - 3 - (3 + -1). Let k(z) = -3*z**3 + 2*z**2 + 9*z + 4. Let d(n) = 3*n**3 - 3*n**2 - 9*n - 3. Let q(a) = p*k(a) - 2*d(a). Let q(b) = 0. What is b?
-1, 2
Let y(s) be the first derivative of -2*s**3/39 + 2*s/13 + 4. Factor y(g).
-2*(g - 1)*(g + 1)/13
Let c(s) = s**2 - 1. Let h be c(2). Let g(y) = -y - 4. Let t be g(-4). Factor t - 4/5*b**h + 0*b + 2/5*b**4 + 2/5*b**2.
2*b**2*(b - 1)**2/5
Suppose -15*r**4 + 3*r + 248*r**2 + 3*r + 2*r**3 - 251*r**2 - 26*r**3 = 0. What is r?
-1, 0, 2/5
Let m(w) be the third derivative of 1/360*w**6 + w**2 + 1/36*w**4 + 0 + 1/60*w**5 + 0*w + 0*w**3. Determine s, given that m(s) = 0.
-2, -1, 0
Let n be (42 - 46)*2/(-10). Find y such that -n*y**2 - 2/5*y**3 + 4/5 + 2/5*y = 0.
-2, -1, 1
Suppose -2/7 - 8/7*q**4 + 10/7*q**2 - 6/7*q + 6/7*q**3 = 0. What is q?
-1, -1/4, 1
Let o(r) be the second derivative of r + 0 - 2/7*r**2 - 1/70*r**5 + 1/21*r**3 + 1/21*r**4. Let o(w) = 0. Calculate w.
-1, 1, 2
Let n be (6/(-15))/(2/(-10)). Suppose n = 7*y - 6*y. Factor y*b**2 + 1 + 2*b - b**2 + 0*b**2.
(b + 1)**2
Suppose -9*j + 8*j = -4*f + 7, -4*j = -20. Determine q so that -1/3*q**f + q + 0*q**2 - 2/3 = 0.
-2, 1
Suppose 2 = -4*b + 10. Let t(y) be the first derivative of -3 - 3/4*y**4 + 14/3*y**3 + 8*y - 10*y**b. Factor t(h).
-(h - 2)**2*(3*h - 2)
Let q(p) = -p**3 - 9*p**2 - 8*p. Let h(x) = 4*x**2 + 4*x. Let o(y) = -9*h(y) - 4*q(y). Factor o(l).
4*l*(l - 1)*(l + 1)
Let z(s) = s**2 - s + 1. Let h be (2/(-8))/(7/28). Let l(f) = -2*f**3 - 8*f**2 + 10*f - 10. Let c(b) = h*l(b) - 10*z(b). Factor c(d).
2*d**2*(d - 1)
Let t = 2353/10 - 235. Let m(n) be the first derivative of 0*n**2 + 0*n**4 - n**3 - 2 + t*n**5 + 3/2*n. Determine q, given that m(q) = 0.
-1, 1
Let m(s) = s + 2*s**3 + 6*s**2 - 6*s**2. Let a be m(1). Determine v so that -v**3 - 3*v**3 + 4*v**2 + a*v**3 - 4*v = 0.
0, 2
Let s(f) be the first derivative of 2/15*f**5 + 0*f - 1/6*f**4 - 2/9*f**3 + 1/3*f**2 + 4. Factor s(g).
2*g*(g - 1)**2*(g + 1)/3
Suppose -35*q**3 + 62 - 40*q - 82 + 146*q**2 - 51*q**2 = 0. Calculate q.
-2/7, 1, 2
Suppose 4*t + 0*j = -5*j, 3*j = -5*t. Let p(x) be the second derivative of 1/18*x**3 - 1/60*x**5 + t*x**2 - 1/90*x**6 + 0 + 1/36*x**4 - x. Factor p(g).
-g*(g - 1)*(g + 1)**2/3
Let b(y) be the second derivative of y**8/336 - y**7/140 + y**5/120 + y**2/2 - y. Let j(n) be the first derivative of b(n). Suppose j(q) = 0. Calculate q.
-1/2, 0, 1
Factor -22*m**2 - 9*m**3 - 20*m**2 + 48*m**2 - 6*m**4.
-3*m**2*(m + 2)*(2*m - 1)
Let j(i) be the third derivative of i**8/336 - i**7/210 - i**6/120 + i**5/60 + 35*i**2. Suppose j(z) = 0. Calculate z.
-1, 0, 1
Let b = 12 - 9. Let l(h) be the first derivative of -1/3*h + 1 + 0*h**2 + 1/9*h**b. Factor l(y).
(y - 1)*(y + 1)/3
Let x(c) be the first derivative of -c**3/3 - 7*c**2/2 + 8*c - 56. Factor x(u).
-(u - 1)*(u + 8)
Let q be (-1)/5 - 44/(-20). Suppose 0*n = -q*n + 6. Factor -h**4 - 6*h**2 + 2 - h + 5*h - 3 + 4*h**n.
-(h - 1)**4
Let v(d) be the second derivative of 1/120*d**6 - 7/24*d**3 + 1/4*d**2 + 5*d + 3/16*d**4 - 1/16*d**5 + 0. What is y in v(y) = 0?
1, 2
Find y, given that -14/3*y**3 - 2*y**4 + 4/3*y + 10/3*y**5 + 2*y**2 + 0 = 0.
-1, -2/5, 0, 1
Suppose -5*q + 3*w + 5 = 0, 0 = -3*q - 4*w + 3. Let t = q + 3. Solve 4/3*z - 16/3*z**3 + 0 - 2/3*z**2 - 10/3*z**t = 0 for z.
-1, 0, 2/5
Suppose -7*p + 23 = 2. Let s(y) be the second derivative of y**2 + 1/10*y**5 + y**p + 1/2*y**4 - y + 0. Factor s(g).
2*(g + 1)**3
Determine j so that 3*j - 5 - j**2 + 3 + 0 = 0.
1, 2
Let f(u) be the third derivative of -u**5/540 - u**4/54 - u**3/18 + 14*u**2. Factor f(v).
-(v + 1)*(v + 3)/9
Let m = 6 + -4. Let y be 0 - -1 - (-1 - m). Factor y*s**4 - s**3 + 6*s**4 + 5*s**3.
2*s**3*(5*s + 2)
Let c(d) be the second derivative of d**6/105 - 2*d**5/35 + d**4/7 - 4*d**3/21 + d**2/7 + 3*d. Factor c(f).
2*(f - 1)**4/7
Let r(y) = y + 75. Let m be r(0). Factor -8*l + 35*l + m*l**3 + 45*l - 10 - 2 - 135*l**2.
3*(l - 1)*(5*l - 2)**2
Let k be (-2)/6*7/((-140)/15). Factor 1/4*y**3 + k + 3/4*y**2 + 3/4*y.
(y + 1)**3/4
Let d(k) be the third derivative of k**7/525 + k**6/60 + 7*k**5/150 + k**4/20 + 14*k**2. Determine y so that d(y) = 0.
-3, -1, 0
Let j(a) be the third derivative of 0*a + 0*a**5 + 0*a**3 + 0 - 2*a**2 + 0*a**4 + 1/300*a**6 + 1/525*a**7. Solve j(s) = 0.
-1, 0
Let u be 3 + 2 + 8/((-8)/5). What is a in u*a**2 + 0*a - 3/5*a**3 - 3/5*a**4 + 0 = 0?
-1, 0
Let l(j) be the second derivative of j**7/1260 + j**6/270 + j**5/180 + j**3/6 + 2*j. Let g(x) be the second derivative of l(x). Solve g(s) = 0 for s.
-1, 0
Let k(r) be the first derivative of 4*r**3 + 15*r**2/2 + 3*r - 3. Solve k(m) = 0.
-1, -1/4
Let j be 2/9 + (-68)/(-18). Suppose 6*c**3 - 2*c**3 - 2*c**4