i) - y(i). What is m in k(m) = 0?
-1, 0, 1
Let m = 37 - 34. Factor -2/3*g**m + 0*g**4 + 0 + 2/3*g**5 + 0*g**2 + 0*g.
2*g**3*(g - 1)*(g + 1)/3
Let n be (-16)/2*(-26)/(-2). Let x = -518/5 - n. Let -x*r**2 - r**4 + 0*r + 7/5*r**3 + 0 = 0. Calculate r.
0, 2/5, 1
Let t(v) be the first derivative of -v**4/8 - v**3/2 - v**2/2 + 37. Factor t(q).
-q*(q + 1)*(q + 2)/2
Solve 4*m + 3*m**2 + m**4 - 4*m - 4*m**2 = 0 for m.
-1, 0, 1
Let c(g) = -2*g**3 + 3*g**2 + g - 2. Let d be c(-1). Let -2/7 - 6/7*r**d - 4/7*r**3 + r - 3/7*r**5 + 8/7*r**4 = 0. What is r?
-1, 2/3, 1
Let i(f) be the third derivative of 1/45*f**5 + 0*f + 0*f**6 + 2*f**2 - 1/36*f**4 + 0*f**3 + 0 - 2/315*f**7 + 1/504*f**8. Factor i(h).
2*h*(h - 1)**3*(h + 1)/3
Let o be 1/((-2)/2) - (-6 + 3). Find d such that 0*d**o - 1/5*d**4 + 0 + 1/5*d**3 + 0*d = 0.
0, 1
Let j = -102 - -102. Let r(m) be the third derivative of 0*m + 0 + 0*m**4 + 1/1008*m**8 + j*m**3 - 1/180*m**5 + 1/120*m**6 + 3*m**2 - 1/210*m**7. Factor r(k).
k**2*(k - 1)**3/3
Let l(r) = -8*r**3 - 20*r**2 - 25*r - 7. Let n(p) = -55*p**3 - 140*p**2 - 175*p - 50. Let t(c) = -20*l(c) + 3*n(c). Let t(k) = 0. What is k?
-2, -1
Let k(y) be the second derivative of 1/16*y**3 + 3/8*y**2 - 3/160*y**5 + 0 + 1/80*y**6 + 6*y - 3/32*y**4. Factor k(c).
3*(c - 2)*(c - 1)*(c + 1)**2/8
Let k(y) = -4*y**2 + 2*y. Let d = 8 - 9. Let q(h) = -h**2. Let o(c) = d*k(c) + 2*q(c). Factor o(a).
2*a*(a - 1)
Let c(r) be the third derivative of r**8/504 - r**7/315 - r**6/36 - r**5/30 - 12*r**2 + 3. Find l, given that c(l) = 0.
-1, 0, 3
Let h(f) be the first derivative of 2*f**6/21 - 16*f**5/35 + 6*f**4/7 - 16*f**3/21 + 2*f**2/7 + 16. Suppose h(t) = 0. Calculate t.
0, 1
Let a(s) be the third derivative of 0*s**5 + 0*s**4 + 0*s**3 + 0*s + 3*s**2 - 1/42*s**7 + 0 - 1/112*s**8 - 1/60*s**6. Solve a(w) = 0.
-1, -2/3, 0
Let l(i) be the second derivative of i**6/1440 + i**5/480 + i**3/2 - 6*i. Let p(k) be the second derivative of l(k). Factor p(v).
v*(v + 1)/4
Suppose 0 = 5*g - 25, -3*j = g + 4*g - 19. Let i be 6/j*2/(-3). Let -3*p**2 + p**2 + 2*p**i + 2*p**3 = 0. What is p?
0
Suppose 16*b**2 - 2*b - 26*b**2 + 10*b**4 - 3*b + 5*b**5 = 0. What is b?
-1, 0, 1
Let w(x) be the third derivative of -25*x**8/3192 + 2*x**7/133 + 11*x**6/1140 - 2*x**5/95 - x**4/57 - 4*x**2. Let w(j) = 0. What is j?
-2/5, 0, 1
Let 3/7*w**3 + 6/7*w - 9/7*w**2 + 0 = 0. Calculate w.
0, 1, 2
Let u(y) be the first derivative of 0*y**2 - 1/6*y**6 - 2 - 4/5*y**5 + 0*y**3 + 0*y - y**4. Factor u(p).
-p**3*(p + 2)**2
Let p(a) = a**3 - 9*a**2 + 5*a + 3. Let c(o) = -o**2 + 1. Let n(v) = 5*c(v) - p(v). Factor n(y).
-(y - 2)*(y - 1)**2
Let u(i) = i**3 - 4*i**2 + i - 2. Let t be u(4). Factor 6*w**3 - t*w**2 - 6*w**4 + 32 + 0*w**5 + 2*w**5 - 32.
2*w**2*(w - 1)**3
Suppose 7*d + 5 = 19. What is f in -1 - 1/4*f**d - f = 0?
-2
Suppose 0 = -3*i + i + 22. Suppose -5*p + i = 1. Factor 3*s**p - 2*s**2 - 3*s**2.
-2*s**2
Factor 0 - 13/8*z**2 + 1/4*z.
-z*(13*z - 2)/8
Suppose 7*c - 3 = 6*c. Let m(l) be the first derivative of -2*l**3 + 4/3*l - 7/3*l**2 + c. Factor m(h).
-2*(h + 1)*(9*h - 2)/3
Suppose 7*a = 6*a + 5. Let v be (a - 7) + (-9)/(-4). Determine f, given that f**2 - 5/4*f + v = 0.
1/4, 1
Let p(v) = v**2 - 1. Let z(d) = -4*d**2 - 3*d + 8. Let f(t) = -3*p(t) - z(t). Let h(w) = w - 1. Let l(b) = -2*f(b) + 10*h(b). What is i in l(i) = 0?
0, 2
Let g(u) = -u**3 + 5*u**2 + 6*u + 1. Let h be g(6). Let f = 2 + h. Factor 6*c + 2*c**2 + 3*c**3 - 4*c**3 - 5*c**f - 2.
-2*(c - 1)*(c + 1)*(3*c - 1)
Let 0 + 6/7*q**5 - 6*q**3 - 12/7*q**4 - 72/7*q + 120/7*q**2 = 0. What is q?
-3, 0, 1, 2
Let d be -6 - (-10 - -3) - (-1)/(-5). Factor -4/5*b**2 + d*b**4 + 0 - 4/5*b + 3/5*b**3 + 1/5*b**5.
b*(b - 1)*(b + 1)*(b + 2)**2/5
Let l(p) be the third derivative of 0*p - 1/840*p**8 + 1/150*p**6 - 4/75*p**5 - 2/15*p**3 - 5*p**2 + 7/60*p**4 + 2/525*p**7 + 0. Determine w so that l(w) = 0.
-2, 1
Let u(z) be the second derivative of z**6/45 - z**5/15 - z**4/18 + 2*z**3/9 + 3*z. Factor u(x).
2*x*(x - 2)*(x - 1)*(x + 1)/3
Let v(y) = -6*y**2 + 7*y - 1. Let u(x) = -x**2 + x. Let o(h) = -21*u(h) + 3*v(h). Suppose o(i) = 0. Calculate i.
-1, 1
Let y(p) be the third derivative of -4*p**2 - 1/120*p**5 + 0*p**4 + 0*p**3 + 0 + 1/96*p**6 + 0*p. Factor y(t).
t**2*(5*t - 2)/4
Let i(v) be the first derivative of -v**3/9 + v**2/6 + 4*v + 41. Factor i(x).
-(x - 4)*(x + 3)/3
Let z(b) = -3*b**2 - 2*b + 5. Let m(j) = 2*j**2 + j - 4. Let i be (-3 - -2)*-1 - 10. Let q be (24/i)/((-2)/3). Let v(o) = q*m(o) + 3*z(o). Solve v(k) = 0 for k.
-1
Suppose 0*j - 2/9*j**4 + 2/9*j**5 + 0 + 0*j**2 + 0*j**3 = 0. What is j?
0, 1
Let m(w) be the second derivative of w**9/68040 - w**7/11340 - w**4/4 - w. Let x(h) be the third derivative of m(h). Factor x(c).
2*c**2*(c - 1)*(c + 1)/9
Let 0*a - 1/6*a**2 + 0 = 0. Calculate a.
0
Let m(o) be the second derivative of o**9/15120 + o**8/3360 + o**7/2520 - o**4/4 - 3*o. Let a(y) be the third derivative of m(y). Factor a(h).
h**2*(h + 1)**2
Let c(k) = k**2 + k + 1. Let d(o) = 172*o - 1760. Let s(g) = 4*c(g) - d(g). Suppose s(a) = 0. Calculate a.
21
Suppose 0 = 4*r + 16 - 32. Let c(p) be the second derivative of 1/3*p**r + 0*p**3 + 3*p - p**2 + 0*p**5 - 1/15*p**6 + 0. Factor c(k).
-2*(k - 1)**2*(k + 1)**2
Let q = -2/15 + 23/60. Let f = -5/28 + 3/7. Factor f*l + q*l**2 + 0.
l*(l + 1)/4
Let 0 + 0*s + 0*s**3 + 2/13*s**4 - 2/13*s**2 = 0. Calculate s.
-1, 0, 1
Let w = 26 + -37. Let f = w - -15. Find z such that 2*z**3 + 16*z**f + z + 0*z**3 - 7*z**2 + 6*z**3 = 0.
-1, 0, 1/4
Let d(v) = -v + 7. Suppose -2*l + 3*l - 13 = -2*s, -3*s + 4*l = -3. Let m be d(s). Factor 3*f**m + 2 + 7*f**3 - 5*f**4 - f**2 - 7*f + f**2.
-(f - 1)**2*(f + 1)*(5*f - 2)
Suppose 0 = -0*l - 4*l + 4. Let g be l - (-2 + 3)*-1. Solve 6 - 2*x**2 - g*x - x**2 - 2*x + 7*x = 0 for x.
-1, 2
Let w(t) be the third derivative of -1/18*t**4 - 6*t**2 + 0*t**3 + 0*t + 0 - 1/90*t**5. Factor w(z).
-2*z*(z + 2)/3
Let q = -92 - -200. Let x be (-384)/q*(-3)/4. Find z, given that 6*z**3 + 0 + x*z + 8*z**2 = 0.
-2/3, 0
Let k(n) be the first derivative of -11*n**4/12 + 8*n**3/3 - 5*n**2/2 + 2*n/3 - 1. Determine p, given that k(p) = 0.
2/11, 1
Let d(a) be the first derivative of -a**6/1080 + a**5/90 - a**4/24 + 2*a**3/3 - 6. Let n(i) be the third derivative of d(i). Factor n(m).
-(m - 3)*(m - 1)/3
Let t(i) be the second derivative of 1/24*i**4 + 1/12*i**3 + 0 - 2*i + 0*i**2. Factor t(n).
n*(n + 1)/2
Solve 26 - 15 - 155*q - 9 - 55*q**2 + 28 = 0.
-3, 2/11
Factor 0 - 2/19*s + 2/19*s**5 - 4/19*s**2 + 4/19*s**4 + 0*s**3.
2*s*(s - 1)*(s + 1)**3/19
Suppose 5*d + 3*g = g - 5, 0 = -5*d + g + 10. What is z in z**2 - 6 + 4 + d = 0?
-1, 1
Let q(k) be the second derivative of -k**6/225 - k**5/50 - k**4/30 - k**3/45 - 19*k. Determine f so that q(f) = 0.
-1, 0
Let i be -2*(-2)/12*6. Suppose 2*r**2 + 2*r**i + 10*r**4 - 4*r - 24*r**3 + 4*r**2 + 10*r**2 = 0. Calculate r.
0, 2/5, 1
Suppose 7 = -4*d - 1. Let r be 2*2 + d + 0. Suppose 4 - 9*k**2 + 2*k**2 - 2*k - k**r + 4*k**3 + 4*k**4 - 2*k**5 = 0. Calculate k.
-1, 1, 2
Let k(p) be the third derivative of -p**2 + 0 - 1/3*p**4 + 0*p - 1/30*p**5 - 4/3*p**3. Factor k(l).
-2*(l + 2)**2
Let a = 4 - 7. Let p be 4*a/(-12)*2. Factor -4*s**2 + 0*s**2 + 3*s**p + s.
-s*(s - 1)
Let z(g) be the first derivative of 3*g**6/40 + g**5/20 - g**2 - 4. Let r(u) be the second derivative of z(u). Factor r(m).
3*m**2*(3*m + 1)
Let o = -60 + 62. Determine n so that 0*n**o + 0*n + 1/5*n**4 + 0 + 0*n**3 = 0.
0
Let m(y) be the second derivative of 1/20*y**5 + 0 - 1/24*y**4 + 3*y + 3/2*y**2 - 1/3*y**3. Let g(a) be the first derivative of m(a). Let g(v) = 0. Calculate v.
-2/3, 1
Suppose 4*k + 13 = -3*l, -5*l - k = 2 - 3. Suppose l + 7 = 4*v. Factor 0 - 1/4*m**v - 11/4*m**4 + 9/4*m**3 + m**5 - 1/4*m.
m*(m - 1)**3*(4*m + 1)/4
Let i(v) be the first derivative of 5*v**4/4 - 20*v**3/3 + 5*v**2/2 + 30*v - 58. Let i(g) = 0. Calculate g.
-1, 2, 3
Let w(p) be the third derivative of -p**5/360 - p**4/48 - p**3/18 - 29*p**2. Factor w(h).
-(h + 1)*(h + 2)/6
Let s(q) = 2*q**2 - 4*q + 4. Let r(c) = 4*c**2 - 8*c + 9. Suppose 3*m + 8 = 2. Let p(a) = m*r(a) + 5*s(a). Suppose p(o) = 0. What is o?
1
Let z(r) be the first derivative of 4*r**3/3 + 6*r**2 - 4*r + 2. Let a(s) = 4*s**2 + 11*s - 3. Let m(f) = 4*a(f) - 3*z(f). Let m(x) = 0