 Let d(o) be the third derivative of m(o). Factor d(t).
t**2/4
Solve 10*j**5 - 2*j**3 - 44*j**4 + 10 + 12*j**2 - 42*j**3 + 38*j - 4*j**5 + 22*j**4 = 0 for j.
-1, -1/3, 1, 5
Let l be 104/(-390) + 0 + 2/3. Factor -3/5*x**2 + 4/5 + 1/5*x**4 - 4/5*x + l*x**3.
(x - 1)**2*(x + 2)**2/5
Let a(j) be the second derivative of -j**4/84 - j**3/42 + 4*j. Factor a(f).
-f*(f + 1)/7
Let i(t) = -6*t**2 - 2*t - 2. Let b(j) = j**3 - 19*j**2 - 6*j - 7. Let p(c) = 4*b(c) - 14*i(c). Solve p(m) = 0.
-1, 0
Let m(a) be the second derivative of 5*a**4/48 + 5*a**3/12 - 8*a. Factor m(f).
5*f*(f + 2)/4
Let y(m) = -m**5 - 2*m**2 - 3*m - 2. Suppose 14 - 6 = -4*n. Let s(d) = d**3 + d**2 + d + 1. Let z(k) = n*y(k) - 4*s(k). Factor z(u).
2*u*(u - 1)**2*(u + 1)**2
Let z = -22 - -44. Let x be (-4)/z + (-26)/(-143). Let -1/4*j + x - 1/4*j**3 - 1/2*j**2 = 0. What is j?
-1, 0
Suppose 110 = -3*h + 119. Factor -1 + 1/2*z**h + 5/2*z - 2*z**2.
(z - 2)*(z - 1)**2/2
Let g(w) be the third derivative of w**2 + 0*w + 0 + 0*w**3 + 1/48*w**4 + 1/80*w**5 - 1/840*w**7 + 0*w**6. Determine c so that g(c) = 0.
-1, 0, 2
Let a(q) be the first derivative of q**7/1680 + q**6/720 - 2*q**3/3 + 2. Let m(w) be the third derivative of a(w). Factor m(b).
b**2*(b + 1)/2
Let v(g) = 4*g**2 + 24*g + 8. Let s(a) = -a**3 - a - 1. Let o(z) = 12*s(z) + v(z). Determine j, given that o(j) = 0.
-1, 1/3, 1
Let z = -1061/2 - -510. Let n = z - -21. Let -n - k**2 + 9/4*k = 0. What is k?
1/4, 2
Let g(k) be the second derivative of -k**5/10 + k**4/6 + k**3/3 - k**2 + 10*k. Factor g(r).
-2*(r - 1)**2*(r + 1)
Let r be (-2*7)/((-6)/(-9)). Let p(n) = -3*n**2 + 2*n + 5. Let t(a) = 12*a**2 - 9*a - 21. Let g(i) = r*p(i) - 5*t(i). Let g(h) = 0. Calculate h.
-1, 0
Let z(c) be the first derivative of c**7/56 - c**6/40 - 3*c**5/80 + c**4/16 - 3*c - 3. Let u(d) be the first derivative of z(d). Factor u(a).
3*a**2*(a - 1)**2*(a + 1)/4
Let i(t) = -3*t - 4. Let s(c) = 4*c + 4. Let z(p) = -5*i(p) - 4*s(p). Let r be z(2). Find f, given that 2*f**r - 4/3 - 10/3*f = 0.
-1/3, 2
Let j be (3/(-2) - -2)*0. Suppose j = -0*m + 2*m. Suppose m + 1/2*a + 1/2*a**2 = 0. Calculate a.
-1, 0
Let v be -2*1 - (-13 + 5). Let -6*m**3 + 5*m**3 - 5*m**4 - v*m**3 + 0*m + 2 + 7*m + 3*m**2 = 0. What is m?
-1, -2/5, 1
Let w(b) = b**2 + b - 1. Let q(x) = -9*x**2 - 8*x + 9. Let z(y) = 5*q(y) + 40*w(y). Determine i, given that z(i) = 0.
-1, 1
Let q(l) = -8*l**3 + 24*l**2 - 24*l + 8. Let c(h) = -14 + 7*h**2 + 16 - 8*h - 2*h**3 + 2*h - h**2. Let g(x) = 9*c(x) - 2*q(x). Factor g(d).
-2*(d - 1)**3
Find g such that 0 - 1/3*g**3 + 2/3*g**4 - 2/3*g**2 + 0*g + 1/3*g**5 = 0.
-2, -1, 0, 1
Let z(x) be the first derivative of 7*x**4/2 + 4*x**3/3 - 7*x**2 - 4*x + 7. Let z(d) = 0. Calculate d.
-1, -2/7, 1
Suppose 3*g = -25 + 7. Let d be g/(-15) + 3/(-15). Factor 1/5*s**2 + d - 2/5*s.
(s - 1)**2/5
Suppose 5*w - 8 = w. Let k(p) be the second derivative of 0 - 1/3*p**3 - 2*p + 1/2*p**w + 1/12*p**4. Find l, given that k(l) = 0.
1
Let n(f) be the second derivative of 0*f**3 - 1/6*f**4 + 3*f + 1/2*f**2 + 1/30*f**6 + 0*f**5 + 0. Solve n(j) = 0 for j.
-1, 1
Determine d so that 3*d - 9/5*d**2 - 6/5 = 0.
2/3, 1
Let s(k) be the second derivative of -k**6/30 - k**5/10 - k**4/12 - 5*k. Determine h so that s(h) = 0.
-1, 0
Let r = -2 - -4. Factor -r*f**4 + 3*f + f - 6*f + 2*f**2 + 2*f**3.
-2*f*(f - 1)**2*(f + 1)
What is n in 19 - 399*n**2 + 402*n**2 + 36 + 53 - 36*n = 0?
6
Let w be (8/(-5))/((-2)/10). Let a be (1/6)/(4/w). Solve -a*m**4 - 2*m**2 - 4/3*m**3 - 1/3 - 4/3*m = 0 for m.
-1
Let x be 36/30 + (-1 + 0)/1. Let s(r) be the first derivative of -1/5*r**3 + 0*r + 2 - 1/20*r**4 - x*r**2. Factor s(p).
-p*(p + 1)*(p + 2)/5
Let b = -7 + 9. Let -7*s**b - 2 + s**2 + 4*s**2 + 4*s = 0. Calculate s.
1
Let x(i) = -i - 1. Let p(g) = -15*g**2 - 39*g - 15. Let m(s) = p(s) - 3*x(s). Factor m(k).
-3*(k + 2)*(5*k + 2)
Let k(t) be the third derivative of -t**10/151200 + t**9/30240 - t**5/30 + 3*t**2. Let l(x) be the third derivative of k(x). Suppose l(p) = 0. What is p?
0, 2
Let t be (-2)/5 + 134/135. Let j = 2/27 + t. Solve -2/3*d**3 - 2/3*d**2 + j + 2/3*d = 0 for d.
-1, 1
Let v be (-58)/(-10) + 1/5. Suppose 2*i = -3*i - 3*x + 23, -i = 4*x - 8. Factor i*d - 8 + 6*d**2 + 2*d**4 - 5*d + 8*d**3 - v*d - d.
2*(d - 1)*(d + 1)*(d + 2)**2
Let z = -68 + 1021/15. Let h(u) be the second derivative of -u + 0*u**2 + 1/9*u**3 - 1/90*u**6 - 5/36*u**4 + 0 + z*u**5. Suppose h(i) = 0. What is i?
0, 1, 2
Let g(w) be the first derivative of -w**5/20 + w**4/16 + w**3/6 + 1. Suppose g(z) = 0. Calculate z.
-1, 0, 2
Let a(x) be the third derivative of -1/80*x**5 + 0 + 0*x - 4*x**2 + 1/16*x**4 + 3/8*x**3. Suppose a(f) = 0. Calculate f.
-1, 3
Let p(g) be the second derivative of -g**6/120 + g**5/20 - 2*g**3/3 - 4*g**2 - g. Let l(r) be the first derivative of p(r). Factor l(y).
-(y - 2)**2*(y + 1)
Let f(j) be the third derivative of -j**8/112 - 3*j**7/70 - j**6/20 + j**5/10 + 3*j**4/8 + j**3/2 - 12*j**2. Suppose f(p) = 0. Calculate p.
-1, 1
Let j = 6 - 4. Suppose 0*b - j = -b. Determine h, given that -h**2 + h**b + h**2 - h = 0.
0, 1
Let p(i) be the second derivative of -i**6/180 - i**5/60 + i**4/6 - i**3/2 - 3*i. Let h(a) be the second derivative of p(a). Factor h(m).
-2*(m - 1)*(m + 2)
Let a(i) = 4*i - 10. Let j be a(3). Let o(q) be the second derivative of 0*q**3 + 0*q**2 - 1/20*q**5 + j*q - 1/42*q**7 + 1/15*q**6 + 0 + 0*q**4. Factor o(p).
-p**3*(p - 1)**2
Let n = -2 + 2. Let t be (0/3 - 2)/(-1). Suppose n - 2/7*v**t + 2/7*v = 0. Calculate v.
0, 1
Let w be (-20)/(-30)*9/16. Let b(a) be the first derivative of -5/6*a**3 - w*a**4 + 1/2*a - 1/4*a**2 + 2. Factor b(h).
-(h + 1)**2*(3*h - 1)/2
Factor 0*d**3 - 2*d - 4*d**3 - d**2 + 2*d**3 + 5*d**2.
-2*d*(d - 1)**2
Suppose 4*s - 3*s = 19. Let j = -55/3 + s. Factor 2*i - j - 2*i**2 + 2/3*i**3.
2*(i - 1)**3/3
Let v = 15 + -9. Let q(y) be the third derivative of 0*y**5 + 0*y**3 + 0 + 1/30*y**v + 1/15*y**7 + 0*y**4 + 0*y - 3*y**2. Factor q(d).
2*d**3*(7*d + 2)
Suppose 2*q - 4*f - 9 = -3, q + 4*f = -3. Let c be (0 - 0)*q/1. Suppose -2/3*s**3 + c + 0*s**2 + 2/3*s = 0. Calculate s.
-1, 0, 1
Let a(z) = -z + 7. Let o be a(4). Let f(k) be the first derivative of -1/4*k**4 - 1/2*k**2 - 1 + 0*k + 2/3*k**o. Factor f(y).
-y*(y - 1)**2
Let a be ((-4)/10)/(4 - 6). Let m(p) be the first derivative of 1 + 1/15*p**3 - a*p**2 + 0*p. Factor m(h).
h*(h - 2)/5
Let t be 36/84 + (-3)/7. Factor 0*j**3 + 0*j**4 + t*j**2 - 1/2*j**5 + 0 + 0*j.
-j**5/2
Let s = 63 + -104. Let j = s - -46. Factor 2/3*a + 0*a**3 - 2/3*a**j + 4/3*a**4 - 4/3*a**2 + 0.
-2*a*(a - 1)**3*(a + 1)/3
Factor 4/7*l**4 - 12/7*l**2 - 2/7 - 11/7*l + 1/7*l**3.
(l - 2)*(l + 1)**2*(4*l + 1)/7
Let n(b) = b**3 - 3*b**2 + b + 5. Let t(s) = s**3 - 5*s**2 + s + 7. Let q(h) = 7*n(h) - 5*t(h). Factor q(j).
2*j*(j + 1)**2
Let o(p) = -3*p**2 - p + 4. Let s be o(4). Let u = -30 - s. Factor -u*y**2 + 18*y**2 - y**3.
-y**3
Let a = 7/60 - -2/15. Let s be 5 + ((-27)/(-6))/(-1). Find g, given that -7/4*g + 1/2*g**4 - 1/2 - s*g**3 - 2*g**2 + a*g**5 = 0.
-1, 2
Suppose -5 = -5*z, -2*m + 2*z - 2 = 3*m. Solve -9 + m*y**2 - 2*y - y**4 + 9 + 3*y**2 = 0.
-2, 0, 1
Let a(c) = 57*c - 340. Let y be a(6). Factor 1/5*d**y + 2/5*d - 1/5 - 2/5*d**3.
-(d - 1)*(d + 1)*(2*d - 1)/5
Let d(y) be the third derivative of -2*y**2 + 0 + 0*y + 1/240*y**5 + 1/96*y**4 - 1/12*y**3. Solve d(f) = 0 for f.
-2, 1
Let u be (15/10)/(2/12). Let v(r) = r - 7. Let g be v(u). Find i, given that -1 + i**2 - 2*i - 5*i**2 + 3*i**g = 0.
-1
Let f(v) be the first derivative of -2*v**3/21 - 3*v**2/7 + 8*v/7 - 16. Find p, given that f(p) = 0.
-4, 1
Factor 0 + 5/6*x + 1/6*x**3 + x**2.
x*(x + 1)*(x + 5)/6
Let d(s) = 51*s**3 - 69*s**2 + 69*s - 9. Let c(u) = 5*u**3 - 7*u**2 + 7*u - 1. Let o be (-4)/6 + 32/12. Let f(n) = o*d(n) - 21*c(n). Factor f(b).
-3*(b - 1)**3
Let i(b) be the first derivative of 2*b**5/35 - 4*b**3/21 + 2*b/7 + 1. Suppose i(g) = 0. Calculate g.
-1, 1
Let i be 10/(-24) + 2/3. Let t be ((-5)/40)/(2/(-4)). Find j such that t*j**3 - i*j + 1/4 - 1/4*j**2 = 0.
-1, 1
Let v(n) be the third derivative of -n**6/210 + 2*n**5/105 + n**4/14 - 55*n**2. Factor v(l).
-4*l*(l - 3)*(l + 1)/7
Let w(d) = d - 1. Let u be w(5). Factor q**2 + 6 - u + 0*q - 3*q.
(q - 2)*(q - 1)
Let t(v) = -2*v - 4. Let m be t(-4). Factor -3