*2. Suppose j(l) = 0. Calculate l.
-1/8, 0
Suppose 2*k = 6 - 2. Factor 2*r + k + 1/2*r**2.
(r + 2)**2/2
Let d(m) be the third derivative of m**7/525 - m**5/75 + m**3/15 + 4*m**2. Let d(x) = 0. What is x?
-1, 1
Let x = 21899/2086 - -2/1043. Suppose 0 = 83*g - 72*g - 33. Find h, given that 3*h + 0 + 27/2*h**2 + x*h**g = 0.
-1, -2/7, 0
Let z be (-3)/((4 - 2)/(-2)). Let h**2 + 8 - 2*h**z - h**2 - 6*h**2 = 0. Calculate h.
-2, 1
Let j = 4 + -11. Let r be ((-4)/j)/(-2 + 4). Suppose 0 + 2/7*n**2 + 0*n**3 - r*n**4 + 0*n = 0. What is n?
-1, 0, 1
Let h be (13/(-6))/(1/9). Let q = h - -20. Factor 1/2*y**2 + y + q.
(y + 1)**2/2
Let u(j) be the first derivative of j**4 - 4*j**3/3 - 2*j**2 + 4*j - 18. Factor u(l).
4*(l - 1)**2*(l + 1)
Let x(r) be the first derivative of -3*r**5/5 + 3*r**4/4 + 5*r**3 + 9*r**2/2 - 9. Factor x(y).
-3*y*(y - 3)*(y + 1)**2
Let k(h) be the second derivative of -h**5/200 + h**3/20 - h**2/10 - 9*h. Factor k(x).
-(x - 1)**2*(x + 2)/10
Let r = 28 + -13. Find d such that r + 2*d**2 - 15 = 0.
0
Let u(i) = -3*i**3 - 9*i**2 - 21*i - 3. Let g(l) = -2*l**3 - 8*l**2 - 20*l - 4. Let q(r) = 6*g(r) - 5*u(r). Solve q(x) = 0 for x.
-1, 3
Let o(y) be the third derivative of -y**7/210 + y**6/120 + y**5/12 + y**4/8 - 6*y**2. Find z, given that o(z) = 0.
-1, 0, 3
Let h(g) be the first derivative of 0*g + 1/4*g**2 + 1/8*g**4 + 1/3*g**3 - 4. Suppose h(i) = 0. Calculate i.
-1, 0
Let f(g) be the second derivative of -g**5/10 + g**4/6 + 5*g**3/3 + 3*g**2 + 4*g. Factor f(m).
-2*(m - 3)*(m + 1)**2
Solve -3*t**2 + 0 + 3*t**4 - 6*t**3 + 9/2*t**5 + 3/2*t = 0.
-1, 0, 1/3, 1
Let i(g) be the third derivative of 2*g**2 - 1/9*g**3 + 0 + 0*g + 1/36*g**4 - 1/360*g**5. Factor i(o).
-(o - 2)**2/6
Factor 4/11*n + 2/11*n**2 + 2/11.
2*(n + 1)**2/11
Let c(u) be the third derivative of 1/8*u**4 - 1/70*u**7 - 1/40*u**6 - 4*u**2 + 1/20*u**5 + 0 + 0*u**3 + 0*u. Factor c(y).
-3*y*(y - 1)*(y + 1)**2
Solve 0 + 0*w - 2/11*w**2 = 0 for w.
0
Suppose -2 = -2*q + 2. Factor j**3 + 2*j**5 - j**5 - q*j**3.
j**3*(j - 1)*(j + 1)
Solve 3*m**4 + 15*m**3 - 3 + 21*m**2 + 6*m**2 + 14*m + 7*m + 9 = 0 for m.
-2, -1
Suppose -3*r + 9*q - 13 = 4*q, -2*q - 2 = 0. Let d be ((-10)/(-4))/((-3)/r). Factor 1/5 + 2/5*l**2 - 3/5*l**4 - 1/5*l**d + 3/5*l - 2/5*l**3.
-(l - 1)*(l + 1)**4/5
Let g(k) = 5*k**3 + 5*k**2 - 19*k + 15. Let i(t) = -5*t**3 - 5*t**2 + 18*t - 15. Let a(s) = 7*g(s) + 6*i(s). Let a(f) = 0. What is f?
-3, 1
Let -2/9*i**4 - 2/9*i**2 - 2/3*i + 2/3*i**3 + 4/9 = 0. Calculate i.
-1, 1, 2
Factor -5/4 - g + 1/4*g**2.
(g - 5)*(g + 1)/4
Let s(n) be the second derivative of -n**6/105 + n**5/70 + n**4/42 - n**3/21 - 5*n. Let s(g) = 0. What is g?
-1, 0, 1
What is d in 8/15 + 0*d + 2/15*d**3 - 2/5*d**2 = 0?
-1, 2
Let t(f) = -3*f**2 + 4*f + 2. Let y(l) = 2*l**2 - 2*l - 1. Let x(w) = w**3 + 4*w**2 + 4*w + 3. Let k be x(-2). Let r(d) = k*t(d) + 5*y(d). Factor r(u).
(u + 1)**2
Let c(p) = 7*p - 2. Let i be c(1). Suppose -5*j = -4*t + 23, 2*t - 12 = 3*j - j. Determine v, given that 2*v**3 + i*v**2 - t*v**2 - 3*v**3 = 0.
-2, 0
Let o(i) be the second derivative of 5*i**7/252 - i**6/60 - i**5/24 + i**4/24 - 42*i. Determine t so that o(t) = 0.
-1, 0, 3/5, 1
Let l(i) be the first derivative of 2 + 1/120*i**5 + 0*i**4 + 0*i + 0*i**3 + 1/240*i**6 + 1/2*i**2. Let r(p) be the second derivative of l(p). Factor r(w).
w**2*(w + 1)/2
Let q(j) be the second derivative of j**5/20 + j**4/12 - j**3/3 + j. Factor q(g).
g*(g - 1)*(g + 2)
Suppose 0 = u + q + 1, 7*q - 5*q + 2 = 0. Determine w so that u - 1/2*w**2 + w = 0.
0, 2
Let v(x) be the first derivative of 5*x**4/4 - 35*x**3/3 + 40*x**2 - 60*x - 3. Factor v(o).
5*(o - 3)*(o - 2)**2
Suppose 0 - 3/5*z**2 - 1/5*z**4 - 1/5*z - 3/5*z**3 = 0. Calculate z.
-1, 0
Suppose 5*o - n + 3*n = 35, 10 = 2*n. Suppose o*h - 1 = -2*t + 1, 0 = 2*h - 5*t - 24. Let -2/7*k**3 - 2/7*k**4 + 0*k**h + 0*k + 0 = 0. Calculate k.
-1, 0
Let n(o) = 3*o**3 + 37*o**2 + 97*o + 63. Let x(i) = -i**3 + i**2 + i - 1. Let f(b) = -n(b) + x(b). Factor f(l).
-4*(l + 1)*(l + 4)**2
Let u = 949/5 - 3593/10. Let b = u - -173. Factor 1 - b*w**2 + 5/2*w.
-(w - 1)*(7*w + 2)/2
Let b(l) = 5*l**4 - 35*l**3 + 65*l**2 - 40*l + 5. Let q(v) = -5*v**4 + 34*v**3 - 64*v**2 + 40*v - 4. Let m(a) = -4*b(a) - 5*q(a). Find t, given that m(t) = 0.
0, 2
Let o = 119/264 - -19/88. Let -4/3 - o*v + 2/3*v**3 + 4/3*v**2 = 0. Calculate v.
-2, -1, 1
Let r(g) be the third derivative of -g**10/10080 + g**8/2240 - g**4/12 - 3*g**2. Let v(m) be the second derivative of r(m). Factor v(n).
-3*n**3*(n - 1)*(n + 1)
Let w(n) = -3*n**3 - 2*n**2 - 2*n - 3. Let t(j) = 3*j**3 + 3*j**2 + 3*j + 3. Let q = 10 - 15. Let m(g) = q*t(g) - 6*w(g). Factor m(u).
3*(u - 1)**2*(u + 1)
Let r(v) = -5*v - 3*v**2 + v**3 + v + 0*v**3. Let j(f) = f**2 + f. Let z(t) = 6*j(t) + 2*r(t). Suppose z(s) = 0. What is s?
-1, 0, 1
Let i(n) be the third derivative of 0*n**5 + 0 - 4*n**2 + 0*n**3 - 1/960*n**6 + 1/2688*n**8 + 0*n**4 + 0*n**7 + 0*n. Solve i(p) = 0.
-1, 0, 1
Let l(w) be the second derivative of -3*w**5/80 + 11*w. Solve l(u) = 0.
0
Let v(s) be the third derivative of s**6/48 - s**5/4 + 3*s**2. What is w in v(w) = 0?
0, 6
Let y(m) be the second derivative of 5*m**4/12 - 5*m**3/3 - 15*m**2/2 + 4*m. Factor y(u).
5*(u - 3)*(u + 1)
Let v(i) be the first derivative of i**6/360 - i**5/30 + i**4/6 + 5*i**3/3 + 5. Let o(h) be the third derivative of v(h). Factor o(c).
(c - 2)**2
Let s = -5 - -14. Let g be (4/6)/(2/s). Determine v so that 0 + 1/3*v**g - 1/3*v**5 + 1/3*v**2 - 1/3*v**4 + 0*v = 0.
-1, 0, 1
Let d be -14 - -19 - ((-52)/(-9) + -1). Suppose -4/9*n**2 - d*n + 4/9 + 2/9*n**3 = 0. Calculate n.
-1, 1, 2
Let s(a) = 3 - 4 - 4 + 4. Let x(z) = -z**2 + 2*z + 4. Let u(q) = 10*s(q) + 2*x(q). Find p such that u(p) = 0.
1
Let r(a) be the third derivative of -a**5/20 + 3*a**4 - 72*a**3 + 6*a**2. Factor r(z).
-3*(z - 12)**2
Suppose -g = 141 - 145. Solve -g - 191/2*b**3 + 7*b**4 + 147/2*b**5 - 3*b**2 + 22*b = 0.
-1, -2/3, 2/7, 1
Let z(x) be the first derivative of -x**4/2 + 2*x**3/5 + 2*x**2/5 + 2. Determine r so that z(r) = 0.
-2/5, 0, 1
Let k(b) be the second derivative of -b**4/16 - b**3/4 - 2*b. Factor k(o).
-3*o*(o + 2)/4
Let x(t) = -t. Let c(z) = -4*z**2 + 7*z + 2. Let k(w) = 3*w**2 - 6*w - 1. Let j(i) = -2*c(i) - 3*k(i). Let p(h) = -3*j(h) - 6*x(h). Find f, given that p(f) = 0.
1
Let a be (-60)/(-72) + 25/6. Let x(w) be the third derivative of 0*w - 1/20*w**a + 1/2*w**3 - 4*w**2 + 0 + 0*w**4. Determine v so that x(v) = 0.
-1, 1
Let d be 0*(-2)/12*2/(-4). Suppose 12 = -0*j + 3*j. What is i in 0*i - 2/7*i**j + d*i**3 - 2/7 + 4/7*i**2 = 0?
-1, 1
Let d = -254/105 - -55/21. Let t(n) = -n - 4. Let y be t(-4). Factor y + d*x**2 + 0*x + 1/5*x**3.
x**2*(x + 1)/5
Let f = 1 + 1. Suppose -7*y + 2*y**3 + 5*y + 3*y**2 - 5*y**4 - 2*y**4 + 4*y**f = 0. Calculate y.
-1, 0, 2/7, 1
Let j be (-13)/5 - (-9)/3*1. Solve -j - 2/5*h**2 + 4/5*h = 0 for h.
1
Let y(f) be the third derivative of -4*f**2 + 0*f**4 + 1/224*f**8 + 0*f**3 + 1/28*f**7 + 0 + 0*f + 1/10*f**6 + 1/10*f**5. Suppose y(m) = 0. What is m?
-2, -1, 0
Let s(w) be the first derivative of -w**5/20 - w**4/4 - 4*w**2 - 3. Let h(n) be the second derivative of s(n). Find a such that h(a) = 0.
-2, 0
Suppose 2 = -3*f + 14. Suppose 4*t + 2 = 5*l, 3*l - f*t + 2 = -0. Let 2/3*s**2 + 4/3 - l*s = 0. What is s?
1, 2
Determine g, given that 10 + 52*g**2 + 9*g - 49*g**2 - 10 = 0.
-3, 0
Suppose 5*b - 2 = -0*i + 2*i, -20 = -4*b - 3*i. Suppose 2*u = 3*g - g, -b*u = -2. Factor -g - 2*d - d**2 + 5*d - d.
-(d - 1)**2
Let i be 6 - (3 + 0) - -1. Let y be ((-1)/(4/(-3)))/3. Let 1/4*z**5 - y*z**i + 0*z - 1/4*z**3 + 0 + 1/4*z**2 = 0. What is z?
-1, 0, 1
Let j(b) be the third derivative of b**8/504 + 4*b**7/315 + b**6/45 - b**5/45 - 5*b**4/36 - 2*b**3/9 - b**2. What is a in j(a) = 0?
-2, -1, 1
Find o, given that -2/5*o**4 - 24/5*o**2 - 16/5*o + 0 - 12/5*o**3 = 0.
-2, 0
Let g(v) = -6*v**5 - 4*v**4 - 6*v**3 - 4*v**2 + 4*v + 5. Suppose 0 + 2 = -m. Let l(x) = -x**5 + x + 1. Let b(h) = m*g(h) + 10*l(h). Factor b(z).
2*z*(z + 1)**4
Let z be ((-5)/(-4))/((-14)/56)*-1. Factor -2/5 + 2/5*y**z + 2/5*y - 2/5*y**4 + 4/5*y**2 - 4/5*y**3.
2*(y - 1)**3*(y + 1)**2/5
Let n(i) = i**3 - 3*i**2 - 6*i + 8. Suppose 6*j - 16 = 2*j. Let s be n(j). Factor s - 1/2*v - 1/2*v**2.
-v*(v + 1)/2
Let n