d**2 - 2*d**3 = 0?
-5, 1, 2
Suppose 0*l - 187 = -3*o + l, 2*o - 3*l = 127. Let f = o + -309/5. Factor -2/5*v**2 + 0*v**3 + 0*v + 1/5 + f*v**4.
(v - 1)**2*(v + 1)**2/5
Let z(a) = -a**2 + 2*a. Let j be z(0). Solve -8/3*l**4 + 0 - 2/3*l**3 + j*l + 2*l**5 + 4/3*l**2 = 0 for l.
-2/3, 0, 1
Let y(d) be the first derivative of -d**6/21 + 2*d**5/35 + d**4/7 - 4*d**3/21 - d**2/7 + 2*d/7 - 18. Find r, given that y(r) = 0.
-1, 1
Factor -2/25*s**4 + 0 - 6/25*s**2 - 2/5*s**3 + 18/25*s.
-2*s*(s - 1)*(s + 3)**2/25
Let g(u) be the third derivative of -u**8/1680 - u**7/420 - u**6/360 + 7*u**3/6 + 5*u**2. Let n(s) be the first derivative of g(s). Factor n(h).
-h**2*(h + 1)**2
Let x be 5/2*(-12)/(-10). Factor h**3 + h**4 + 0 - 5*h + 1 - x - 3*h**2.
(h - 2)*(h + 1)**3
Let s(i) be the third derivative of i**7/350 + i**6/25 + 11*i**5/50 + 3*i**4/5 + 9*i**3/10 - 14*i**2. Factor s(a).
3*(a + 1)**2*(a + 3)**2/5
Let w = -17 + 20. Let c(g) be the third derivative of -1/15*g**5 + 0*g + 0*g**w + 0 - g**2 - 1/60*g**6 - 1/12*g**4. Factor c(l).
-2*l*(l + 1)**2
Let u(p) = -2*p**4 + 3*p**3 - p**2 + 1. Let h(v) = v**3 + v**2 - 1. Let y(f) = h(f) + u(f). Factor y(q).
-2*q**3*(q - 2)
Let z(d) be the first derivative of -d**6/240 - d**5/120 + d**4/48 + d**3/12 + d**2/2 + 2. Let n(b) be the second derivative of z(b). Factor n(s).
-(s - 1)*(s + 1)**2/2
Factor -32/5*u + 4/5*u**3 - 192/5 + 4*u**2.
4*(u - 3)*(u + 4)**2/5
Let 0*l**2 - 3/2*l**4 - 3/2*l**3 + 0*l + 0 = 0. What is l?
-1, 0
Let k(f) be the third derivative of -f**5/120 + f**4/12 - f**3/3 + 8*f**2. Factor k(l).
-(l - 2)**2/2
Let k(p) be the first derivative of p**4/2 - 22*p**3/3 + 9*p**2 + 6*p - 6. Let r(b) = b**2 - b + 1. Let d(n) = k(n) + 12*r(n). Find o such that d(o) = 0.
-1, 3
Let g(a) be the second derivative of 2*a**6/105 + 11*a**5/140 - a**4/28 - 24*a. Find f, given that g(f) = 0.
-3, 0, 1/4
Let j = -52 - -81. Suppose -5*t = 4 - j. Factor -2*l**2 - 3*l**4 + 2*l**5 - 6*l**3 - 4*l**t - 3*l**4.
-2*l**2*(l + 1)**3
Let q(r) = -9*r**4 + 4*r**3 - 3*r**2 - 3*r. Let m(o) = -44*o**4 + 20*o**3 - 16*o**2 - 16*o. Let f(y) = 3*m(y) - 16*q(y). Factor f(d).
4*d**3*(3*d - 1)
Let f(l) = -l**2 - l - 1. Suppose -4*p - 48 + 12 = -4*a, -p + 15 = 3*a. Let i(v) = v - 2. Let m(o) = a*f(o) - 2*i(o). Solve m(q) = 0 for q.
-1, -1/3
Let u = -1/173 + 524/865. Find p such that 0 + 1/5*p**2 + p**3 - 1/5*p**4 - 2/5*p - u*p**5 = 0.
-1, 0, 2/3, 1
Let m(a) be the third derivative of a**6/20 + 11*a**5/90 + a**4/18 - a**2. Factor m(b).
2*b*(b + 1)*(9*b + 2)/3
Let g(d) = 7*d**3 + 5*d**2 + 19*d + 1. Let o(l) = 11*l**3 + 7*l**2 + 29*l + 1. Let r(q) = 8*g(q) - 5*o(q). Factor r(u).
(u + 1)**2*(u + 3)
Find w, given that 0 + 1/5*w**2 + 1/5*w - 1/5*w**4 - 1/5*w**3 = 0.
-1, 0, 1
Factor 53 - 24 - 29 - 5*r**3.
-5*r**3
Factor -s**2 - 4*s**2 + 4*s**4 - 3*s**2 + 4.
4*(s - 1)**2*(s + 1)**2
Let c(v) be the second derivative of 0*v**3 + 0*v**4 + 1/7*v**7 - 1/10*v**6 - 4*v + 0 - 3/20*v**5 + 0*v**2. Solve c(l) = 0.
-1/2, 0, 1
Let o = -5 + 12. Let n = o + -4. Factor r**2 - 5*r**2 + 4*r**4 + n*r**5 - 4*r**5 + 3*r**5 - 2*r.
2*r*(r - 1)*(r + 1)**3
Let m(l) be the second derivative of l**9/3024 - l**8/840 + l**6/180 - l**5/120 + l**3/6 + 10*l. Let r(w) be the second derivative of m(w). Factor r(i).
i*(i - 1)**3*(i + 1)
Factor 0*y - 2/13*y**2 + 2/13*y**4 - 2/13*y**5 + 0 + 2/13*y**3.
-2*y**2*(y - 1)**2*(y + 1)/13
Let c be 2/4*(7 + -3 + 2). Determine z so that 2/7 - 2/7*z**5 + 10/7*z**4 + 20/7*z**2 - 10/7*z - 20/7*z**c = 0.
1
Let c(p) = -p**3 - 10*p**2 - 9*p + 3. Let z be c(-9). Suppose 8*b - z*b = 50. Factor -17/2*j**2 + 2*j**3 + b*j - 2.
(j - 2)**2*(4*j - 1)/2
Let g(r) be the first derivative of 0*r + 0*r**3 + 0*r**2 - 2/35*r**5 - 1/21*r**6 - 6 + 0*r**4. Suppose g(u) = 0. Calculate u.
-1, 0
Let r(v) = v**2 - 2*v. Let k be r(2). Let a be 2 + -1 + -1 + k. Solve 2*i**2 + a*i**4 - 2*i**4 + 2*i**5 - i**5 - i = 0 for i.
-1, 0, 1
Let h(r) = -8*r - 118. Let b be h(-15). Let o(v) be the third derivative of -v**b + 1/72*v**4 - 1/180*v**5 + 0 + 0*v + 1/9*v**3. What is m in o(m) = 0?
-1, 2
Suppose 5*g - 48 = g. Let f = g + -8. Suppose -q**2 - 12 + f + 19*q**2 = 0. Calculate q.
-2/3, 2/3
Let n(q) be the second derivative of 0 + 1/2*q**2 - 1/12*q**4 - 3*q + 0*q**3. Determine v, given that n(v) = 0.
-1, 1
Suppose -2*b - 11 = -17. Factor 4*f**b + 2*f**3 - 2*f**3.
4*f**3
Suppose -108 = -3*b - b. Let j be (b/12)/(3/2). Factor -a**3 - 3/2*a**4 + a + 0 + j*a**2.
-a*(a - 1)*(a + 1)*(3*a + 2)/2
Suppose 2/7*x**2 - 6/7*x + 0 = 0. Calculate x.
0, 3
Let s be 2 - 5 - (11 - 13) - -3. Find k, given that s + 2/9*k**2 - 4/3*k = 0.
3
Let k(d) be the first derivative of 0*d**2 + 0*d**3 - 1/5*d**5 + 0*d + 3 - 1/2*d**4. Factor k(r).
-r**3*(r + 2)
Let u(m) be the first derivative of m**5 + 15*m**4/4 + 10*m**3/3 + 19. Let u(v) = 0. Calculate v.
-2, -1, 0
Let f be 9/2 - -1 - 48/12. Determine v so that 0 + 5/2*v**4 - 1/2*v**2 + 0*v + 1/2*v**3 + f*v**5 = 0.
-1, 0, 1/3
Let k(z) = -8*z**2 + 7*z + 12. Let s(l) = 8*l**2 - 6*l - 12. Let u(m) = 4*k(m) + 3*s(m). Determine t, given that u(t) = 0.
-3/4, 2
Suppose 3*j - 6 - 6 = 0. Suppose 0 = -j*t + 2*t + 12. Factor 6*k - 1 + t*k**2 - 2*k**3 + 3 + 4*k**3.
2*(k + 1)**3
Let y(w) be the third derivative of 0*w**4 + 0*w - 5*w**2 + 0*w**3 + 0 + 1/120*w**5. Determine j, given that y(j) = 0.
0
Suppose 5*c = -2*f + 3*c - 6, -2*c + 18 = -4*f. Let n = f + 6. Let 2*d - 5 + 5 - n*d**2 = 0. What is d?
0, 1
Let b(w) = -2*w**2 + 14*w - 10. Let c be b(6). Determine h so that 3/4*h**c + 3/2 + 9/4*h = 0.
-2, -1
Let m(k) be the third derivative of -k**9/20160 + k**8/2240 - k**7/560 + k**6/240 - k**5/30 - 3*k**2. Let o(u) be the third derivative of m(u). Factor o(g).
-3*(g - 1)**3
Let b be (1/3)/((-3)/(-9)). Let q(t) = -t**2 + t**3 - 3*t + 7*t - 3*t. Let a(w) = -3*w**3 + 7*w**2 - 9*w. Let u(m) = b*a(m) + 5*q(m). What is l in u(l) = 0?
-2, 0, 1
Factor -2*k**2 - 8*k**2 + 5*k**2 - 3*k + 2*k**2.
-3*k*(k + 1)
Let i(v) be the second derivative of v**4/32 + v**3/16 - 3*v**2/8 - 2*v. Factor i(d).
3*(d - 1)*(d + 2)/8
Suppose -7*t = -5 - 16. Solve -162/7 - 1080/7*l - 3000/7*l**t - 2700/7*l**2 - 1250/7*l**4 = 0 for l.
-3/5
Let m(a) be the second derivative of -11*a**7/126 - 13*a**6/90 + 3*a**5/20 + 13*a**4/36 + a**3/9 - 14*a. Solve m(p) = 0.
-1, -2/11, 0, 1
Let f(s) = -3*s**2 - 5*s - 6. Suppose 2*z = n + 2, n - 5*n + 3*z = 13. Let x(m) = -10*m**2 - 16*m - 17. Let r(w) = n*x(w) + 11*f(w). Find u such that r(u) = 0.
-1, -2/7
Factor 304*i + 28*i**2 + 292*i**2 - 16 - 100*i**3 + 58 + 22.
-4*(i - 4)*(5*i + 2)**2
Let z(d) be the second derivative of 1/40*d**5 - 1/4*d**2 - 1/12*d**3 - 2*d + 1/24*d**4 + 0. Let z(o) = 0. What is o?
-1, 1
Find n, given that -6*n**2 + 89*n**4 + n**5 + 4*n**2 - 3*n**3 - 89*n**4 = 0.
-1, 0, 2
Let s(x) be the third derivative of -x**5/450 - x**4/45 - x**3/15 + 8*x**2. Find w, given that s(w) = 0.
-3, -1
Let 0*j**2 + 0 - 4/7*j**5 + 4/7*j**3 + 0*j**4 + 0*j = 0. Calculate j.
-1, 0, 1
Let t(l) be the first derivative of l**3 + 9*l**2/2 + 6*l + 10. Factor t(x).
3*(x + 1)*(x + 2)
Let m(z) = 4*z**2 + 5*z + 1. Let d(i) = -16*i**2 - 20*i - 4. Let n(r) = 4*d(r) + 18*m(r). Let n(t) = 0. Calculate t.
-1, -1/4
Let f(d) = -d**5 + d**3 - 1. Let m be (-6)/4*(-132)/(-9). Let c(t) = 12*t**5 + t**4 - 12*t**3 - t**2 + 11. Let j(b) = m*f(b) - 2*c(b). Factor j(o).
-2*o**2*(o - 1)*(o + 1)**2
Factor -4*x**2 - 4*x**3 - 5 - 4 + 8*x + 9.
-4*x*(x - 1)*(x + 2)
Let k(j) be the third derivative of -j**6/100 + j**5/25 - j**4/20 + 9*j**2. Factor k(i).
-6*i*(i - 1)**2/5
Let a(g) be the first derivative of g**6/45 - g**5/6 + 4*g**4/9 - 4*g**3/9 + 4*g + 5. Let i(c) be the first derivative of a(c). Factor i(o).
2*o*(o - 2)**2*(o - 1)/3
Let b(y) = -3*y**3 - 2*y**2 - 5*y - 4. Let v be b(-3). Factor 76*x**3 - 4*x + x**2 - x**4 - v*x**3 + 2*x.
-x*(x - 2)*(x - 1)*(x + 1)
Let b(o) be the second derivative of o**4/42 - o**3/21 - 8*o. Find p, given that b(p) = 0.
0, 1
Let z(r) = -r**2 - r + 1. Let u be (3 - (-36)/(-16))*-8. Let t(s) = -7*s**5 - 12*s**4 + 4*s**3 + 6*s**2 + 6*s - 6. Let c(v) = u*z(v) - t(v). Factor c(i).
i**3*(i + 2)*(7*i - 2)
Let b(y) be the first derivative of 0*y + 2 + 1/2*y**2 + 1/3*y**3. What is j in b(j) = 0?
-1, 0
Let c be 1/5*(-10)/(-4). Let o be 30/(-20) - (-4 - -2). Factor -c + t - o*t**2.
-(t - 1)**2/2
Le