3). Suppose z**w + 2*z - 3*z + 6 + 0*z**2 - 7 + z**3 = 0. What is z?
-1, 1
Let p be 1/2*(-2)/(-3). Suppose 34*s - 36*s = 0. Let -p + 1/3*l**2 + s*l = 0. Calculate l.
-1, 1
Suppose 0 = i - 17*b + 12*b - 12, 4*i - 4*b - 16 = 0. Find t, given that -4/7*t + 0 + 2*t**i + 18/7*t**3 = 0.
-1, 0, 2/9
Suppose -2*l + 5 = -11. Suppose 4*r + l = 20. Find w such that w**r - 3*w**2 + 4*w**2 - 2*w**2 = 0.
0, 1
Let k be (-6)/9 - (-17)/3. Let b be (-14)/35*k/(-3). Factor -2*v - b*v**2 - 4/3.
-2*(v + 1)*(v + 2)/3
Let y(m) be the second derivative of -m**4/12 + m**3/6 + m**2/2 - 4*m. Let d(r) = r**2 - r. Let i(p) = 3*d(p) + 6*y(p). Factor i(g).
-3*(g - 2)*(g + 1)
Factor 10*h**2 + 16*h + 2*h**3 + 0*h**3 - 4 + 0*h**3 + 12.
2*(h + 1)*(h + 2)**2
Let g(w) be the third derivative of -w**7/525 + w**6/100 + w**5/150 - w**4/20 + 39*w**2. Factor g(z).
-2*z*(z - 3)*(z - 1)*(z + 1)/5
Let i(r) = -2*r - 15. Let a be i(-10). Suppose 3*q**a + 0*q**3 - 4*q**3 - q**5 + 2*q**3 = 0. Calculate q.
-1, 0, 1
Let w = -3 - -5. Factor x + x**2 + w*x**2 - 2 - 2*x**2.
(x - 1)*(x + 2)
Suppose 0 = 3*x + 5*f - 21, -15*x + 14*x - 7 = -3*f. Solve 1/5*s**5 + 0*s**x + 0 + 0*s**3 - 2/5*s**4 + 0*s = 0 for s.
0, 2
Factor 0 + 3/4*j**3 + 9/4*j**4 - j - 2*j**2.
j*(j - 1)*(3*j + 2)**2/4
Let c = 0 - -1. Suppose -w + 1 + 1 = 0. Factor 1/2*m + c - 1/2*m**w.
-(m - 2)*(m + 1)/2
Let o(t) = -t**2 + 4*t + 2. Let k(i) = i + 2. Let y be k(2). Let f be o(y). Solve -6*z**2 - 4*z**2 + 24*z + 0*z**f - 8 = 0 for z.
2/5, 2
Let x be (1 - 0)*(2 - 0). Let r = x - 2. Find p such that -p**4 + p**5 + p**2 + 4*p**3 - 5*p**3 + r*p**2 = 0.
-1, 0, 1
Let k be 9/(8/56 - (-19)/14). Let s(z) be the third derivative of 9/70*z**7 + 1/20*z**5 - 4*z**2 + 0 + 0*z + 3/20*z**k + 0*z**3 + 0*z**4. Solve s(u) = 0.
-1/3, 0
Suppose l + 26 = 4*k, l + k + 1 = -0*k. Let d(f) = f**3 + 7*f**2 + 7*f + 8. Let h be d(l). Suppose 3/4*c + 0 - 3/4*c**3 + 0*c**h = 0. Calculate c.
-1, 0, 1
Solve 0 + 1/2*i**2 + 1/2*i = 0 for i.
-1, 0
Suppose -4*m = m - 40. Suppose 4*w = 4*r - 16, -3*r + 2*w + 3 = -m. Find g, given that g**4 + 2*g**2 + 0*g**4 - 4*g**r + g**4 = 0.
0, 1
Let m(k) be the second derivative of 3*k**5/50 - k**4/30 - k**3/5 + k**2/5 - 14*k. Factor m(s).
2*(s - 1)*(s + 1)*(3*s - 1)/5
Factor 77*y + 14 - 4 - 65*y + 2*y**2.
2*(y + 1)*(y + 5)
Let t = 37/2 + -18. Let b(z) be the first derivative of -1 + 0*z**3 + 1/2*z**2 + t*z - 1/10*z**5 - 1/4*z**4. Factor b(w).
-(w - 1)*(w + 1)**3/2
Let b be (-3 + 0)*1/(-3). Let d = b + 2. Factor -d*v + 0*v**3 + v**3 + 2*v.
v*(v - 1)*(v + 1)
Let r(n) be the third derivative of -1/672*n**8 + 0*n**4 + 0*n + 0 + 1/420*n**7 + 0*n**3 - 3*n**2 + 1/240*n**6 - 1/120*n**5. Factor r(t).
-t**2*(t - 1)**2*(t + 1)/2
Let i be 3 + (-2)/1 - 7. Let w be (-2 - 1)/(i/10). Factor 2/9*z**4 - 2/9*z**2 + 2/9*z**w + 0*z - 2/9*z**3 + 0.
2*z**2*(z - 1)*(z + 1)**2/9
Let m(c) = 33*c**4 - 103*c**3 - c**2 + 89*c - 39. Let g(o) = 16*o**4 - 52*o**3 + 44*o - 20. Let d(z) = 7*g(z) - 4*m(z). Find k, given that d(k) = 0.
-1, 2/5, 1, 2
Let b(q) be the second derivative of 0*q**3 + 2*q + 1/12*q**4 + 0 - 1/2*q**2. What is c in b(c) = 0?
-1, 1
Let v(c) be the second derivative of c**8/23520 + c**7/8820 + 5*c**4/12 + 4*c. Let n(a) be the third derivative of v(a). Suppose n(x) = 0. What is x?
-1, 0
Let i be (2 + (-13)/3)*3. Let k = i + 11. Determine z so that 4*z**5 + z**3 + 8*z**2 - z**4 - 3*z**3 - 2*z - 1 - 6*z**k = 0.
-1, -1/4, 1
Let g be ((-3)/6)/(2/(-16)). Find h such that 0*h + 4*h**5 - 3*h**g - h**5 - 3*h**3 + 3*h**2 + 0*h = 0.
-1, 0, 1
Let c(a) = -2*a**2 - 2*a. Let d be c(-1). Let 0*g**2 + d*g**4 + 2/5*g**5 + 2/5*g + 0 - 4/5*g**3 = 0. What is g?
-1, 0, 1
Let d be 14/49 - (-2 + 2). Let k be 4 - -3*3/(-9). Factor 2/7*n**k - d*n**2 + 0*n + 0.
2*n**2*(n - 1)/7
Let h(j) be the first derivative of j**3/15 - 3*j**2/10 + 17. Factor h(v).
v*(v - 3)/5
Let x(b) be the second derivative of -b**7/70 + 8*b**6/25 - 72*b**5/25 + 64*b**4/5 - 128*b**3/5 + 12*b. Factor x(y).
-3*y*(y - 4)**4/5
Let f(n) = n**3 - 8*n**2 - 1. Let z be f(8). Let a be z - -2 - -1*2. Solve -a*j**3 - 5*j**2 + 3*j - j + 6*j**3 = 0.
0, 2/3, 1
Let h(c) be the second derivative of c**7/21 + c**6/5 + c**5/10 - c**4/2 - 2*c**3/3 + 4*c. Solve h(a) = 0 for a.
-2, -1, 0, 1
Let g = 49 + -47. Let 3/4*j**g + 0 + 1/4*j = 0. What is j?
-1/3, 0
Let u be (-4)/6*-6 + 0. Factor 19*v**2 - 7*v - 12*v**3 + 3*v**4 + v - u*v**2.
3*v*(v - 2)*(v - 1)**2
Let k = 61 - 110. Let n be k/(-28) + 2/8. Factor 4/5 + 4/5*y**3 - 6/5*y - 6/5*y**n.
2*(y - 2)*(y + 1)*(2*y - 1)/5
Let g(l) be the second derivative of -l**6/480 - 4*l**3/3 + l. Let f(h) be the second derivative of g(h). Suppose f(o) = 0. What is o?
0
Suppose 15 = y + 2*y. Factor 0 + 2/5*k - 2/5*k**y - 4/5*k**4 + 0*k**3 + 4/5*k**2.
-2*k*(k - 1)*(k + 1)**3/5
Let p be (-91)/(-140) - (-1)/(-8)*2. Determine k so that -p*k**2 + 2/5*k + 0 = 0.
0, 1
Let t(i) be the third derivative of i**7/105 + i**6/30 + i**5/30 - 10*i**2. Factor t(o).
2*o**2*(o + 1)**2
Let b(m) = 5*m**5 + 5*m**4 + 145*m**3 - 60*m**2 - 150*m + 55. Let t(g) = g**5 + g**4 + 24*g**3 - 10*g**2 - 25*g + 9. Let f(z) = -6*b(z) + 35*t(z). Factor f(d).
5*(d - 1)**3*(d + 1)*(d + 3)
Let k(v) = 2*v**2 - 3*v + 1. Let s(l) = l**2 - l. Let d(y) = 2*k(y) + 2*s(y). Find z such that d(z) = 0.
1/3, 1
Suppose -2*y + 2*j = -6, 4*y - 2 + 14 = -4*j. Suppose -2/9*u**4 + 0*u**3 + y*u + 2/9*u**2 + 0 = 0. What is u?
-1, 0, 1
Let d(v) be the first derivative of -2/5*v**5 - 1/2*v**2 + 4 - 4/3*v**3 + 0*v - 5/4*v**4. Solve d(x) = 0.
-1, -1/2, 0
Let k(m) be the third derivative of m**2 + 1/240*m**6 + 0*m**3 + 0*m + 0*m**4 + 1/672*m**8 + 1/210*m**7 + 0 + 0*m**5. Suppose k(u) = 0. Calculate u.
-1, 0
Let i(o) be the second derivative of 15*o**4/4 + 5*o**3 + 5*o**2/2 + 16*o. Factor i(l).
5*(3*l + 1)**2
Let q = 8 + -6. What is l in -l**q - 5*l**4 - 3*l**4 + 6*l**4 + 2*l**3 + 5*l**2 = 0?
-1, 0, 2
Let x be (0 - (-38)/9) + -4. Suppose -2/9*k**2 - x*k**3 + 0 + 0*k = 0. Calculate k.
-1, 0
Suppose 8*x = -18 + 50. Suppose 1/4*j - 3/4*j**2 - 1/4*j**3 + 3/4*j**x + 0 = 0. Calculate j.
-1, 0, 1/3, 1
Suppose 0 = 146*l - 143*l. Let 11/2*p**3 - 17/6*p**4 + 1/2*p**5 - 23/6*p**2 + l*p + 2/3 = 0. What is p?
-1/3, 1, 2
Suppose -1/9*j**4 + 5/9*j**3 + 0*j**2 + 0 + 0*j = 0. What is j?
0, 5
Let 2*a**4 - 14/3*a**2 + 8/3*a - 8/3*a**3 + 8/3 = 0. What is a?
-1, -2/3, 1, 2
Let j(t) be the first derivative of -t**5/5 + 2*t**3/3 - t - 14. Factor j(r).
-(r - 1)**2*(r + 1)**2
Let q be (-5 - -5)/(4/6*-3). Let z(o) be the third derivative of 2*o**2 + 1/20*o**6 + q*o - 1/4*o**4 + 1/2*o**3 - 1/20*o**5 + 0. Find k, given that z(k) = 0.
-1, 1/2, 1
Let r(o) be the third derivative of o**9/1512 + o**8/420 - o**7/420 - o**6/90 + o**3/3 - o**2. Let d(i) be the first derivative of r(i). Factor d(p).
2*p**2*(p - 1)*(p + 1)*(p + 2)
Factor 7*f**2 - 1 - 12*f + 1 - 4.
(f - 2)*(7*f + 2)
Let u(q) = -10*q - 64. Let o be u(-7). Let m(x) be the third derivative of -3/40*x**o - 7/8*x**4 - x**3 - 2/5*x**5 + 0*x - 3*x**2 + 0. Factor m(p).
-3*(p + 1)**2*(3*p + 2)
Let c(m) be the second derivative of -m**9/4032 + m**8/1680 - m**7/3360 + m**3/6 - m. Let r(f) be the second derivative of c(f). Factor r(d).
-d**3*(d - 1)*(3*d - 1)/4
Let m = 6 - -7. Let a = 15 - m. Factor 8/9 + 0*q + 2/9*q**3 - 2/3*q**a.
2*(q - 2)**2*(q + 1)/9
Let b(c) = -c**4 + 12*c**3 + 3*c**2 - 5*c. Let g(x) = x**4 + x**2 + x. Let l(k) = b(k) + 5*g(k). Find q such that l(q) = 0.
-2, -1, 0
Let k = 344 + 148. Let p = k + -3426/7. Factor 66/7*n**4 + 92/7*n**3 + p*n + 18/7*n**5 + 2/7 + 60/7*n**2.
2*(n + 1)**3*(3*n + 1)**2/7
Let z(g) be the third derivative of -g**5/20 - 7*g**4/4 - 49*g**3/2 + 8*g**2 - 2. Factor z(r).
-3*(r + 7)**2
Let i = -13 - -13. Determine q so that -3/4 + 0*q - 3/4*q**4 + i*q**3 + 3/2*q**2 = 0.
-1, 1
Let a(k) be the first derivative of 2*k**5/35 + k**4/7 - 8*k**3/21 - 8*k**2/7 + 22. Factor a(w).
2*w*(w - 2)*(w + 2)**2/7
Let -2/3*i - 1/6*i**2 + 0 = 0. What is i?
-4, 0
What is g in 0*g**3 + 3/4*g**2 + 0 - 1/4*g**4 + 1/2*g = 0?
-1, 0, 2
Factor 0 + 16 + 0*x**4 - 48*x + 44*x**2 - 4*x**3 - 12*x**4 + 8*x**5 - 4*x**5.
4*(x - 2)*(x - 1)**3*(x + 2)
Suppose 18 = 6*z + 3*z. Suppose 0 - 1/4*t**3 + 0*t + 0*t**z = 0. Calculate t.
0
Let i be 27/12 - 3/12. Find z such that -3*z**4 + 2*z**2 - 2*z**2 - i*z**2 + z**4 + 4*z**3 = 0.
0, 1
Let 