4 + 0*j + 0*j**2. Factor o(f).
f**2*(f - 1)/5
Let s(j) be the first derivative of j**2/2 + 4*j + 1. Let w be s(-2). What is z in -w*z**4 + 4*z**4 - z**3 - 2*z**2 - z**3 + 2*z = 0?
-1, 0, 1
Factor -2/3*p**2 - 2 + 2/3*p**3 - 10/3*p.
2*(p - 3)*(p + 1)**2/3
Let p(l) = 3*l**2 + 6*l + 2. Let u(z) be the first derivative of z - 1. Let o(b) = -p(b) + 2*u(b). Solve o(k) = 0 for k.
-2, 0
Suppose 21 = 10*d + 1. Let u(f) be the second derivative of 0*f**d + 3*f + 0 + 1/6*f**4 - 1/3*f**3. Find q such that u(q) = 0.
0, 1
Let i = 733 + -2198/3. Solve 1/6*b**2 + i*b + 1/6 = 0 for b.
-1
Let l(v) = v**2 - 5*v + 3. Let w be l(5). Let p(k) = -3*k + 38. Let h be p(12). Factor 0*q**w + 0 - 6*q + 2*q**4 + 2 + 12*q**h - 8*q**3 - 2*q.
2*(q - 1)**4
Let n(l) be the first derivative of l**3/3 - l**2/2 - 8. Determine v, given that n(v) = 0.
0, 1
Factor -2/13 - 2/13*z**2 - 4/13*z.
-2*(z + 1)**2/13
Let g(k) = 1. Let n(u) = 2*u**2 + 2*u + 4. Let c = 23 + -13. Let z = c + -9. Let h(f) = z*n(f) - 8*g(f). Factor h(p).
2*(p - 1)*(p + 2)
Suppose -u - 2 = -0*u - 3*d, 0 = 4*u + 2*d + 22. Let m be (2 + 9/u)*1. Factor -1/5*b**4 + 4/5*b + 4/5*b**3 - 6/5*b**2 - m.
-(b - 1)**4/5
Let a(z) = 9*z**3 - 47*z**2 + 29*z + 13. Let t(u) = u**3 + u**2 + u + 1. Let i(j) = a(j) + 3*t(j). Factor i(w).
4*(w - 2)**2*(3*w + 1)
Let o = 5 - 5. Let h(s) be the third derivative of -3*s**2 + 0*s + o + 0*s**3 + 1/180*s**5 + 0*s**4. Determine v so that h(v) = 0.
0
Find y such that 1/7*y**3 + 24/7*y + 16/7 + 9/7*y**2 = 0.
-4, -1
Suppose -6 = 3*q - 3*w, 4*w - 9 = 5*q - 4. Solve -3*k - 1/4*k**q - 3/2*k**2 - 2 = 0.
-2
Suppose -1 = -b, 2*a + 4*b - 10 = -0*b. Factor -a*n - 4*n**3 - n - 8*n**2 + 0*n.
-4*n*(n + 1)**2
Solve -64/9*q - 4/3 - 95/9*q**2 - 25/9*q**3 = 0 for q.
-3, -2/5
Factor 38*z**3 - 3*z**2 + z + 0*z**4 - 35*z**3 - z**4.
-z*(z - 1)**3
Let v be 3 - 0/(0 - 2). Let q(x) be the second derivative of 2/21*x**4 + 0 + 1/105*x**6 - x + 0*x**v + 2/35*x**5 + 0*x**2. Determine y, given that q(y) = 0.
-2, 0
Let l(h) be the third derivative of 2*h**7/35 + h**6/8 + h**5/20 + 15*h**2. Suppose l(y) = 0. What is y?
-1, -1/4, 0
Let o = -5/22 - -47/110. Let y(u) be the second derivative of u**2 + u**3 - 1/5*u**5 - 1/21*u**7 + 2*u + 1/3*u**4 - o*u**6 + 0. Find i, given that y(i) = 0.
-1, 1
Let v(h) be the first derivative of 25*h**3/3 - 30*h**2 + 20*h + 3. Find i, given that v(i) = 0.
2/5, 2
Let w = -480 - -480. Find k, given that w - 10/7*k**2 + 4/7*k + 10/7*k**4 - 4/7*k**3 = 0.
-1, 0, 2/5, 1
Suppose 3*p**3 - 4 - 15*p - 2 + 6*p = 0. What is p?
-1, 2
Let k(l) be the second derivative of l**5/10 - l**4/2 + 2*l**3/3 + 16*l. Factor k(b).
2*b*(b - 2)*(b - 1)
Let g be 5*(12/10 - 0). Suppose 4*x = g*x. Factor 2 - 2*z**2 + 2*z**3 - 2*z + x*z**3 + 0*z**3.
2*(z - 1)**2*(z + 1)
Let o(m) be the first derivative of 0*m - 5 - 1/3*m**2 - 2/9*m**3. Factor o(r).
-2*r*(r + 1)/3
Determine k so that -8 + 26*k**2 - 8*k - 10*k**3 + 3 - 3 = 0.
-2/5, 1, 2
Let c(i) be the second derivative of 5*i**7/126 + i**6/5 + i**5/5 - 2*i**4/9 + 5*i. Suppose c(o) = 0. What is o?
-2, 0, 2/5
Let i = -6 + 14. Let -i*n**4 - n**2 + 3*n**2 + n**2 + 5*n**4 = 0. Calculate n.
-1, 0, 1
Let j(m) be the third derivative of m**7/210 - m**6/20 + 13*m**5/60 - m**4/2 + 2*m**3/3 + 7*m**2. Factor j(i).
(i - 2)**2*(i - 1)**2
Let g be ((-2)/60)/((-7)/4). Let b(n) be the second derivative of 1/6*n**4 + 0 - g*n**7 - 2*n + 1/10*n**6 - 1/10*n**2 + 0*n**3 - 1/5*n**5. Factor b(x).
-(x - 1)**4*(4*x + 1)/5
Suppose 4*s - 3*h - 891 = 2*h, -5*s - 5*h = -1125. Let t be s/(-462) + (-2)/(-3). Find n such that -4/11*n + 2/11 + t*n**2 = 0.
1
Suppose -4*s - 3*p = -s + 9, 4*p + 20 = 0. Factor 2*o + 3/2*o**2 - s.
(o + 2)*(3*o - 2)/2
Suppose 0 = 4*w + 3 + 1, -2*j - 5*w + 1 = 0. Let b(k) = 4*k**3 - k - 3. Let z(c) = 3*c**3 - c - 2. Let o(u) = j*z(u) - 2*b(u). Factor o(a).
a*(a - 1)*(a + 1)
Let d(q) be the first derivative of q**6/2 - 6*q**5/5 + 3*q**4/4 - 5. Solve d(g) = 0 for g.
0, 1
Let s(t) be the first derivative of -3 - 1/20*t**5 + 0*t**2 - 1/8*t**4 + 0*t**3 + 0*t + 1/24*t**6. Solve s(i) = 0.
-1, 0, 2
Let t(j) be the second derivative of j**7/2940 + j**6/1260 - j**5/420 - j**4/84 + j**3/3 + j. Let r(u) be the second derivative of t(u). Factor r(c).
2*(c - 1)*(c + 1)**2/7
Let x(u) be the third derivative of -u**7/2520 + u**6/480 - u**5/240 - 5*u**4/24 - 4*u**2. Let l(m) be the second derivative of x(m). Find i such that l(i) = 0.
1/2, 1
Let h(f) be the third derivative of f**6/720 + f**5/90 + 5*f**4/144 + f**3/18 - 6*f**2. Factor h(t).
(t + 1)**2*(t + 2)/6
Suppose -3*h + 0 = -4*d + 2, 4 = -2*d + 4*h. Factor -d*q**3 - 13 + 13 - 6*q**2.
-2*q**2*(q + 3)
Let x(n) be the second derivative of 12*n**7/49 + 13*n**6/15 + 59*n**5/70 - 3*n**4/14 - 11*n**3/21 + 2*n**2/7 - 18*n. Solve x(h) = 0 for h.
-1, 2/9, 1/4
Let n(b) = -47*b**3 - 58*b**2 - 60*b + 2. Let h(t) = -16*t**3 - 19*t**2 - 20*t + 1. Let q(v) = -17*h(v) + 6*n(v). Factor q(m).
-5*(m + 1)**2*(2*m + 1)
Let g be -2*((-2)/4 + -2). Let q(w) = 2*w**4 - 8*w**2 - 6. Let a(l) = 2*l**4 - 7*l**2 - 5. Let d(h) = g*q(h) - 6*a(h). Factor d(s).
-2*s**2*(s - 1)*(s + 1)
Let c(p) be the first derivative of p**6/20 + 7*p**5/20 + p**4 + 3*p**3/2 - p**2/2 - 11. Let w(h) be the second derivative of c(h). Factor w(t).
3*(t + 1)**2*(2*t + 3)
Let o(t) be the third derivative of t**5/12 - 5*t**4/24 - 5*t**3/3 - 40*t**2. Determine b, given that o(b) = 0.
-1, 2
Suppose -5*d = 0, 0 = 2*l + 3*l - 4*d + 135. Let q = l - -137/5. Factor q*g + 0 - 2/5*g**2.
-2*g*(g - 1)/5
Let d(h) be the first derivative of -3*h**5/40 + 3*h**4/32 + 1. Find j, given that d(j) = 0.
0, 1
Let n(p) be the second derivative of -2/21*p**3 - 5/42*p**4 - 5*p + 1/21*p**6 - 1/70*p**5 + 1/49*p**7 + 0 + 0*p**2. Let n(i) = 0. What is i?
-1, -2/3, 0, 1
Let c(f) = -f**2 - 2*f + 2. Let x be c(-2). Let a**4 + a**2 + a**2 - 3*a**x = 0. Calculate a.
-1, 0, 1
Let n(l) be the third derivative of -l**8/784 - l**7/490 + l**6/280 + l**5/140 - 9*l**2. Suppose n(y) = 0. What is y?
-1, 0, 1
Let k(r) be the second derivative of 0*r**6 - 1/30*r**5 + 0*r**4 + 0*r**3 + 1/63*r**7 + 0 + 0*r**2 + r. Factor k(q).
2*q**3*(q - 1)*(q + 1)/3
Let o be 9 - (234/27 + -1). Let o*z**2 + 0 + 32/3*z**4 + 0*z + 14/3*z**5 + 22/3*z**3 = 0. Calculate z.
-1, -2/7, 0
Let y be 162/(-30) - (-3)/(-5). Let f be 222/4 + (-18)/y. Let 2 - 20*a - 81/2*a**3 + f*a**2 = 0. What is a?
2/9, 1
Let z(d) be the third derivative of 1/945*d**7 + 1/540*d**6 - 1/270*d**5 - 1/108*d**4 + 0*d**3 + 3*d**2 + 0 + 0*d. Find c such that z(c) = 0.
-1, 0, 1
Let r(y) be the third derivative of -3*y**2 - 1/60*y**5 + 0*y + 0 - 1/12*y**4 - 1/6*y**3. Factor r(o).
-(o + 1)**2
Let a = 5 + -27. Let g be (a/55)/(2/(-10)). Suppose -2/11*n + 0*n**3 + 4/11*n**4 + 2/11*n**5 + 0 - 4/11*n**g = 0. What is n?
-1, 0, 1
Let f be (-9 - -10)/((-2)/(-22)). Let c = 11 - f. Factor c*i - 4/3*i**2 + 0 + 40/3*i**4 + 2*i**3.
2*i**2*(4*i - 1)*(5*i + 2)/3
Let w(c) = c**4 + c**3 + c**2 - 9*c + 2. Let q(v) = v**4 + v**3 - 8*v + 1. Let k(l) = 4*q(l) - 3*w(l). Factor k(a).
(a - 2)*(a + 1)**3
Let k(u) be the second derivative of -u**4/42 + 2*u**3/3 - 7*u**2 + u - 2. Factor k(z).
-2*(z - 7)**2/7
Let u be (30 - (3 + -2))*1. Let j = u + -24. Let 1/3*n + 2/3*n**2 + 0*n**3 - 2/3*n**4 - 1/3*n**j + 0 = 0. What is n?
-1, 0, 1
Let f(j) be the third derivative of j**5/80 + j**4/24 + 40*j**2. Let f(n) = 0. What is n?
-4/3, 0
Suppose 0 = -14*g + 17*g + 5*z - 37, z = -g + 9. Factor 1/2*i**g + 1/2*i + 0 - 1/2*i**3 - 1/2*i**2.
i*(i - 1)**2*(i + 1)/2
Determine d so that 4/13*d**2 + 0 + 2/13*d**5 - 2/13*d + 0*d**3 - 4/13*d**4 = 0.
-1, 0, 1
Let y = -1142 + 1144. Let z = 49/3 + -15. Determine f, given that 0 + 2/3*f**3 + 0*f + z*f**y = 0.
-2, 0
Let x be -4*2/(-8)*2. Suppose -2*d + 1 + 4 = 3*z, -x*d + z + 9 = 0. Factor 2*n**2 - d*n**3 - 4*n**2 + 3*n**3.
-n**2*(n + 2)
Let c = 119 - 115. Let r(s) be the second derivative of 0*s**c + 0*s**2 + 0*s**3 + 0 - 2*s - 1/40*s**5. Solve r(d) = 0.
0
Let c(i) be the third derivative of 0*i**5 + 0*i + 0 - i**2 + 1/480*i**6 - 1/32*i**4 + 1/12*i**3. Factor c(w).
(w - 1)**2*(w + 2)/4
Let n(l) = -15*l**3 + 5*l**2 + 55*l + 25. Let u(d) = 8*d**3 - 2*d**2 - 28*d - 12. Let v(a) = 3*n(a) + 5*u(a). Solve v(m) = 0.
-1, 3
Let r be (-23)/(-6)*(-1)/(-7). Let w = r - 1/21. Factor w*m**2 - m + 1/2.
(m - 1)**2