 third derivative of o(k). Let y(i) = 0. What is i?
1, 2
Let p = 43 + -40. Let q(n) be the first derivative of 2/33*n**p - 3/11*n**2 - 1 + 4/11*n. Factor q(c).
2*(c - 2)*(c - 1)/11
Determine d, given that -d**4 + 2*d**2 + 4*d**3 + 6*d**4 + d**4 - 4*d**4 = 0.
-1, 0
Let l(h) = h**3 - h**2 + 5*h - 2. Let v = 0 - 5. Let i(m) = m**3 - m**2 + 9*m - 4. Let p(o) = v*l(o) + 3*i(o). Suppose p(w) = 0. What is w?
-1, 1
Let a be (-12)/2*(-2*2)/8. Let i = -55/2 - -28. Factor -2*z**4 + i + 1/2*z - 9/2*z**2 + 11/2*z**a.
-(z - 1)**3*(4*z + 1)/2
Let b(t) = t**3 - t**2 + t. Let d(y) = -3*y**3 + 8*y**2 - 8*y + 5. Let j(m) = 4*b(m) + d(m). Let k be j(-5). Factor 2*g**2 + 2*g**4 + k*g**2 + 4*g**3 + 0*g**3.
2*g**2*(g + 1)**2
Suppose -5*n = 2*s - 19, 14*s - 19*s + 13 = n. Let 16/13*w - 8/13 - 10/13*w**s + 2/13*w**3 = 0. Calculate w.
1, 2
Suppose 2*z + 5 = 3*l, -6*z - 3*l = -z - 40. Let p be 3/30*(z - -1). Factor 0*w**2 + 9/5*w - p*w**3 + 6/5.
-3*(w - 2)*(w + 1)**2/5
Let u(n) = -4*n + 30. Let d be u(7). Factor 2/7*f**d + 4/7 - 6/7*f.
2*(f - 2)*(f - 1)/7
Let n(x) be the third derivative of 0 + 0*x**3 + 2*x**2 - 1/60*x**5 - 1/70*x**7 + 0*x - 1/336*x**8 - 1/40*x**6 + 0*x**4. Determine q, given that n(q) = 0.
-1, 0
Let f = -7 + 10. Suppose -k = -3*k. Suppose 2*n**4 + 3*n + 2*n**3 + k*n**3 - f*n = 0. What is n?
-1, 0
Let g(j) be the first derivative of 1/12*j**3 + 3 - 3/8*j**2 + 1/2*j. Let g(t) = 0. What is t?
1, 2
Let x(f) be the first derivative of f**4/2 + 4*f**3/3 + f**2 + 19. Factor x(g).
2*g*(g + 1)**2
Suppose -17*x = -22 - 12. Let -x*q**4 + 0 + 4/5*q - 4/5*q**5 + 2*q**2 + 0*q**3 = 0. Calculate q.
-2, -1, -1/2, 0, 1
Factor -15*t + 1 + 8 + 1 - 5*t**2 - 5*t**4 + 22*t**3 - 7*t**3.
-5*(t - 2)*(t - 1)**2*(t + 1)
Let l(o) be the first derivative of -o**3/12 + o/4 - 2. Factor l(t).
-(t - 1)*(t + 1)/4
Let f = 188 - 1313/7. What is v in 12/7*v**3 + 12/7*v + 3/7*v**4 + 18/7*v**2 + f = 0?
-1
Let u(f) = 9*f**2 + 3*f. Let l be (1 + -2)*(-6 + 11). Let z(i) = 9*i**2 + 3*i - 1. Let h(y) = l*u(y) + 6*z(y). Suppose h(p) = 0. Calculate p.
-1, 2/3
Suppose -1435*c**3 - 147*c**5 + 828*c**2 + 966*c**4 - 86*c - 404*c**3 - 22*c = 0. Calculate c.
0, 2/7, 3
Let n(f) be the second derivative of f**7/21 + f**6/5 - 3*f**5/10 - 11*f**4/6 - 2*f**3 - 60*f. Factor n(v).
2*v*(v - 2)*(v + 1)**2*(v + 3)
Let s(c) = c**2 - 2. Let a(q) = 7*q**2 - 2*q - 17. Let w(l) = 3*a(l) - 24*s(l). Solve w(k) = 0.
-1
Let l(u) be the first derivative of -u**6/14 - 12*u**5/35 + 3*u**4/28 + 4*u**3/7 + 36. Find p, given that l(p) = 0.
-4, -1, 0, 1
Let o = -79/10 - -8. Let d(k) be the second derivative of 0*k**3 - o*k**5 + 0*k**2 + 1/5*k**6 + 0 + 2*k - 1/3*k**4. Factor d(z).
2*z**2*(z - 1)*(3*z + 2)
Let w(v) be the first derivative of 1/3*v**3 + 1/180*v**5 + 1/180*v**6 + 0*v + 0*v**2 - 3 + 0*v**4. Let b(f) be the third derivative of w(f). Factor b(x).
2*x*(3*x + 1)/3
Let x = 201/704 - -5/64. Factor -2/11*r + 0 + x*r**2 - 2/11*r**3.
-2*r*(r - 1)**2/11
Let k(u) be the third derivative of 0*u + 0*u**6 - u**2 + 1/30*u**5 + 0 + 0*u**4 - 1/210*u**7 - 1/6*u**3. Solve k(t) = 0.
-1, 1
Let y be ((-6)/(-4))/(12/32). Let k = y - 2. Solve 4*x**k + 0 - 4 + 4*x - 5*x**2 = 0 for x.
2
Suppose -2*y + 15 = y. Find d, given that 4*d**y - d**5 - 6*d**3 - 3*d**4 + 3*d + 6*d**2 - 3 + 0 = 0.
-1, 1
Factor 29*y - 4*y**2 + 30*y - y**2 - 39*y - 15.
-5*(y - 3)*(y - 1)
Let d(j) be the first derivative of -5*j**3/3 + 45*j**2 - 405*j + 32. Factor d(v).
-5*(v - 9)**2
Let a(z) be the first derivative of -7*z**4/3 + 20*z**3/9 + 4*z**2/3 + 8. Factor a(y).
-4*y*(y - 1)*(7*y + 2)/3
Let q(s) be the second derivative of -s**4/36 + s**3/9 - s**2/6 + 9*s. Factor q(z).
-(z - 1)**2/3
Let b = -22/13 + 136/65. Factor -8/5*h**2 - 8/5*h**4 - 2/5*h - b*h**5 - 12/5*h**3 + 0.
-2*h*(h + 1)**4/5
Let k = -30 - -9. Let x be 3/4 + k/(-14). Solve 0*t + 1/2*t**2 + 0 - x*t**3 = 0 for t.
0, 2/9
Factor -2*t**2 + 0*t**3 + 4/3*t + 0 + 2/3*t**4.
2*t*(t - 1)**2*(t + 2)/3
Let q(y) = 32*y**4 + 26*y**3 - 14*y**2 - 8*y + 10. Let z(p) = -p**3 + p - 1. Let s(d) = q(d) + 10*z(d). What is o in s(o) = 0?
-1, 0, 1/4
Let i = -53 - -53. Suppose -1/5*b**2 + i*b + 0 - 1/5*b**3 = 0. Calculate b.
-1, 0
Let d = 91 + -453/5. Factor 0 + 2/5*q**4 - 4/5*q**3 + d*q**2 + 0*q.
2*q**2*(q - 1)**2/5
Let w(a) = 8*a**2 + 8*a - 7. Let l(s) be the first derivative of -s**3/3 - s**2/2 + s + 1. Suppose 0 = 3*g - 22 - 32. Let z(q) = g*l(q) + 2*w(q). Factor z(t).
-2*(t - 1)*(t + 2)
Let j(u) = 2*u**4 - 6*u**3 + 4*u - 4. Let n(g) = 11 - 8*g**4 + 2*g**4 + 19*g**3 - 2*g**3 - 11*g. Let o(c) = 11*j(c) + 4*n(c). Suppose o(l) = 0. Calculate l.
0, 1
Let g(i) = 3*i**4 - 33*i**3 - 111*i**2 - 102*i - 27. Let v(x) = x**4 - 17*x**3 - 55*x**2 - 51*x - 14. Let a(p) = 4*g(p) - 9*v(p). Suppose a(n) = 0. What is n?
-3, -2, -1
Let w be (-10)/(-2) - (4 + -1). What is g in 0*g - 11*g + w + 1 - 9*g**2 - 5 = 0?
-1, -2/9
Let u(s) be the third derivative of s**5/270 - 5*s**4/108 - 2*s**3/9 - 4*s**2. Factor u(l).
2*(l - 6)*(l + 1)/9
Let o(p) be the first derivative of p**5/15 - 5*p**4/12 + 8*p**3/9 - 2*p**2/3 - 1. Factor o(w).
w*(w - 2)**2*(w - 1)/3
Let c(x) = -x**4 - 4*x**3 + 2*x**2 + 6*x + 3. Let z(w) = -9*w**4 - 39*w**3 + 21*w**2 + 60*w + 30. Let p(g) = -21*c(g) + 2*z(g). Factor p(a).
3*(a - 1)*(a + 1)**3
Suppose 0*l - 15 = -l. Suppose 0 = 4*v - l - 1. Let 2*s**2 + s**2 - 2*s**3 - s**v - 8 + 4 + 4*s = 0. Calculate s.
-2, 1
Let o be 4/2 - 60/36. Suppose 5/6*v + 1/6*v**3 - 2/3*v**2 - o = 0. What is v?
1, 2
Let w = -3 + 7. Let -5*r**4 - 3*r**5 + 6*r**5 + 2*r**w = 0. What is r?
0, 1
Let s(q) = -q**2 + 6*q + 4. Let u(y) = 6*y + 4. Suppose 0 = f - 2*b - b + 7, -2*b + 12 = 3*f. Let d(t) = f*s(t) - 3*u(t). Solve d(r) = 0.
-2, -1
Let y = 38 + -36. Let l(s) be the second derivative of 2*s**y + 1/3*s**3 - 2/3*s**4 - 3/10*s**5 - s + 0. Factor l(u).
-2*(u + 1)**2*(3*u - 2)
Solve -3*o**2 + 14 - 30 - 15*o + 4 = 0.
-4, -1
Let i(t) be the first derivative of 16*t**6/21 + 16*t**5/35 - 15*t**4/14 - 16*t**3/21 - t**2/7 + 3. What is n in i(n) = 0?
-1, -1/4, 0, 1
Suppose 2*k - 1 = -m - 0, 5*m = 5. Factor 18/7*c**2 - 2*c**3 - 4/7*c + k.
-2*c*(c - 1)*(7*c - 2)/7
Let m = 55/6 + -9. Factor 1/3*d**2 + 1/6*d - m*d**3 - 1/3.
-(d - 2)*(d - 1)*(d + 1)/6
Let d(z) be the first derivative of z**6/60 - z**5/15 + z**4/12 - z**2 - 2. Let y(c) be the second derivative of d(c). Determine j, given that y(j) = 0.
0, 1
Factor 55*u**2 + 7*u - 9 - 3 + 2 + 38*u.
5*(u + 1)*(11*u - 2)
Let k be ((-250)/(-1125))/(2/3). Solve k*o**4 - 2/3*o**2 + 1/3*o**5 - 2/3*o**3 + 1/3 + 1/3*o = 0 for o.
-1, 1
Let s(v) = 3*v**3 - 12*v**2 + 30*v - 30. Let a(b) = b**2 - b - 1. Let k(n) = -6*a(n) + s(n). Let k(p) = 0. What is p?
2
Let b(y) be the second derivative of 4*y + 1/9*y**4 + 0 + 0*y**2 + 4/9*y**3. What is q in b(q) = 0?
-2, 0
Suppose -3/2*t**2 + 1/2*t**3 - 1/2 + 3/2*t = 0. Calculate t.
1
Let i be (5 - 5) + 6/2. Factor 2*g**3 + 2*g**i - 2*g**4 - 2*g**3.
-2*g**3*(g - 1)
Find h such that -h**2 - 32*h - 15*h**2 + 4*h**4 + 22 + 8*h**3 - 22 = 0.
-2, 0, 2
Let c(b) be the second derivative of -4/21*b**3 - 4/7*b**2 + 2/35*b**5 - 6*b + 1/105*b**6 + 0 + 1/14*b**4. Let c(p) = 0. Calculate p.
-2, -1, 1
Let d(u) = 16*u**3 + 3*u**2 + 6*u + 5. Let i(y) = y**2 - y - 1. Let t be (-1*(-1)/1)/(-1). Let w(s) = t*d(s) - 5*i(s). Determine j so that w(j) = 0.
-1/4, 0
Let z(o) be the second derivative of 5*o + 0 - 1/18*o**4 + 1/45*o**6 + 0*o**5 - 1/126*o**7 + 1/18*o**3 + 0*o**2. Factor z(b).
-b*(b - 1)**3*(b + 1)/3
Let j(i) be the second derivative of -1/42*i**4 - 3*i + 0 + 1/7*i**2 + 0*i**3. Solve j(b) = 0.
-1, 1
Suppose 2*c - q = -1 + 5, -5*q + 8 = 4*c. Solve -8/9*f + 8/9 + 2/9*f**c = 0 for f.
2
Let g(s) be the third derivative of s**8/112 + 6*s**2. Determine w so that g(w) = 0.
0
Let y(m) = m**2 + 2*m - 5. Let j be y(-4). Suppose j*r - s + 0*s - 3 = 0, r = -4*s + 14. Factor r*p**2 + 0 + 3 - 2 - p**2 + 2*p.
(p + 1)**2
Let n(u) be the first derivative of -u**4/2 + 8*u**3/5 + 11*u**2/5 - 12*u/5 - 8. Let n(p) = 0. Calculate p.
-1, 2/5, 3
Let s be 1/(1/4) + -1. Suppose 12 = -4*h, -r + s*h = -0*r - 58. Factor -2*w - r*w**4 - 32*w**2 - 2*w**3 + 3*w + 79*w**3 + 3*w.
-w*(w - 1)*(7*w - 2)**2
What is r in -3 - 9*r + 9*r**3 + 33/4*r**2 - 21/4*r**4 = 0?
-1, -2/7, 1, 2
Let n(z) be the first derivative of 0*z**2 + 2/15*z**3 - 1/5*z**4 