*3.
2*u*(u - 1)**2/9
Let l(i) be the third derivative of i**7/350 - 3*i**6/100 + 3*i**5/25 - i**4/4 + 3*i**3/10 - 138*i**2. Find x such that l(x) = 0.
1, 3
Let y(i) be the first derivative of -5*i**4/4 - 10*i**3 - 45*i**2/2 - 20*i - 38. Solve y(q) = 0 for q.
-4, -1
Factor 15/2*d**2 + 9/4*d - 3/4*d**3 - 81.
-3*(d - 9)*(d - 4)*(d + 3)/4
Let v(l) be the first derivative of -5*l**4/4 + 230*l**3/3 - 1430*l**2 + 4840*l + 351. What is d in v(d) = 0?
2, 22
Let i(w) be the first derivative of 0*w**5 + 0*w**4 + 0*w**2 + w**3 + 1/1440*w**6 + 3 + 0*w. Let r(u) be the third derivative of i(u). Factor r(k).
k**2/4
Let o(z) be the second derivative of -z**5/60 + 7*z**4/18 - 35*z**3/18 + 11*z**2/3 - 10*z. Factor o(g).
-(g - 11)*(g - 2)*(g - 1)/3
Let v(o) = -25*o**2 + 872*o - 491. Let d(r) = -13*r**2 + 436*r - 243. Let x(q) = 10*d(q) - 6*v(q). Determine g, given that x(g) = 0.
3/5, 43
Let g(z) be the second derivative of 3/4*z**4 + 0 - 15*z - 1/2*z**3 - 3*z**2. Suppose g(d) = 0. What is d?
-2/3, 1
Let o = 178 - 168. Let r = o + -8. What is l in -2/3*l**r + 0*l - 6*l**4 + 0 - 4*l**3 = 0?
-1/3, 0
Suppose -6 = -4*d + 3*n - 7, -3*d - 3*n = -15. Let c = -4 - -7. What is z in -3*z**2 + 8*z**2 + 6*z + z**d - c*z**2 = 0?
-2, 0
Let x(o) be the second derivative of -o**7/10080 + o**6/1440 - o**5/480 + o**4/6 - o. Let k(a) be the third derivative of x(a). Find i such that k(i) = 0.
1
Let f(z) be the first derivative of 2/5*z**5 + 4*z**3 - 4*z**2 - 2*z**4 - 3 + 2*z. Factor f(k).
2*(k - 1)**4
Let a(j) = j**3 + 5*j**2 + 5. Let c be a(-4). Suppose 4*d + 5 = c. Let 0*q**3 - 9*q**4 - d*q - 9*q**4 + 18*q**2 + 8*q**3 - 4*q**3 = 0. What is q?
-1, 0, 2/9, 1
Let q = -15429 + 15432. Solve -14/5*t**5 + 0 + 4/5*t - 38/5*t**4 - 2/5*t**2 - 6*t**q = 0 for t.
-1, 0, 2/7
Let g be 8/(-28) - (226/(-7) - 2). Let d be g/(-6) + (23 - 17). Find j, given that -4*j**2 - 64/3 - 16*j - d*j**3 = 0.
-4
Let l(t) be the third derivative of 0 + 1/28*t**4 + 1/210*t**5 + 11*t**2 + 0*t**3 + 0*t. Factor l(d).
2*d*(d + 3)/7
Let x(k) be the third derivative of -7*k**6/540 - k**5/30 + k**4/9 + 4*k**3/27 + 147*k**2. Solve x(t) = 0 for t.
-2, -2/7, 1
Let r be (-26)/2 + 2106/156. Suppose -4*p - r*p**2 + 0 = 0. Calculate p.
-8, 0
Let v(n) = -n**4 + 9*n**3 - 11*n + 1. Let s(x) = x**4 - x**3 - 2*x**2 - x + 1. Let b(h) = -s(h) + v(h). Factor b(k).
-2*k*(k - 5)*(k - 1)*(k + 1)
Let o(k) = 13*k**2 - 4*k + 6. Let c be o(2). Suppose c = 30*f - 5*f. Solve -1/4*j**4 - 1/4*j + 1/4*j**3 + 1/4*j**f + 0 = 0 for j.
-1, 0, 1
Suppose -2*b = -4*w - 20, -2*b + 2*w + 7 = -3. Let t be (-1)/(4/(-24) - b). Let 3/8*i**2 - 3*i + t = 0. Calculate i.
4
Let s(y) = y**2 + y + 1. Let l(j) = 0 - 7*j - j + 2. Let o be (-7)/(56/(-12)) - (-1)/2. Let k(z) = o*s(z) + l(z). Determine g, given that k(g) = 0.
1, 2
Let k(n) be the second derivative of -n**7/840 + n**6/24 - 5*n**5/8 + 125*n**4/24 + n**3/6 - n. Let g(r) be the second derivative of k(r). Factor g(w).
-(w - 5)**3
Let v(y) = 5*y**3 - 35*y**2 - 1. Let z be v(7). Let k be (-6 - 161/(-28))/z. Factor 3/4*s**3 - 1/4*s**4 + k*s - 3/4*s**2 + 0.
-s*(s - 1)**3/4
Suppose 17 = 3*k - 19. Factor 22 + k*j - 3*j**2 - 46 + 15.
-3*(j - 3)*(j - 1)
Let z(p) = -p**2 - p + 1. Let k(y) = 2*y**2 - 54*y + 171. Let f(a) = 2*k(a) - 4*z(a). Factor f(c).
2*(2*c - 13)**2
Let p = -3645/8 - -34709/72. Determine t so that -20/9*t + 14/9*t**5 + p*t**2 - 32/9 - 274/9*t**3 + 74/9*t**4 = 0.
-8, -2/7, 1
Find n such that 7/2*n - 4 + 1/2*n**2 = 0.
-8, 1
Suppose 2*l - 10*w + 12*w = 14, 0 = 3*l - 3*w + 21. Determine x, given that 4/9*x**3 + 0 + l*x - 4/9*x**2 = 0.
0, 1
Let a(d) = 59*d**3 + 32*d**2 - d. Let o(v) = 29*v**3 + 16*v**2 - v. Suppose 20 = -2*u + 10. Let j(f) = u*o(f) + 3*a(f). Suppose j(m) = 0. What is m?
-1/4, 0
Let g(o) = 2*o**4 + o**2 - 2*o. Let p(j) = -5*j**4 - 38*j**3 + 501*j**2 - 2586*j + 3456. Let s(a) = 3*g(a) + p(a). Factor s(v).
(v - 12)**3*(v - 2)
Suppose -3*a + 12*a = 36. Suppose 2*q - 4*q = -a, 0 = 4*h - q - 6. Factor 6*v**4 + 0*v**4 - v**h - 3*v**4 - 2*v**2.
3*v**2*(v - 1)*(v + 1)
Factor -60/7*d**2 + 0 + 8/7*d - 68/7*d**3.
-4*d*(d + 1)*(17*d - 2)/7
Factor 696*i**4 - 971*i**2 - 5*i**3 + 6048*i + i**5 - 673*i**4 - 6912 - 496*i**2.
(i - 3)**3*(i + 16)**2
Suppose 5*k - 18 = -4*k. Solve 0*d + 10*d**k - 4*d - 24 - 6*d**2 = 0.
-2, 3
Let o = 134 - 124. Factor -o + 19*a + 3*a**3 + 1 - 11*a**2 - 4*a**2 + 2*a.
3*(a - 3)*(a - 1)**2
Let g(h) = -h**2 + 10*h - 6. Suppose 0 = 5*u - y - 50, -2*u - 2*y + 35 = 3*u. Let i be g(u). Factor 2*l**2 + 0 - 14/5*l**i + 4/5*l.
-2*l*(l - 1)*(7*l + 2)/5
Let y be ((-9)/(-7))/(((-25839)/(-378))/29). Factor 0 + 0*z - y*z**3 + 2/11*z**2.
-2*z**2*(3*z - 1)/11
Let l(p) be the first derivative of 7 + 4/15*p**5 + 0*p + 2*p**2 + 28/9*p**3 + 5/3*p**4. Factor l(s).
4*s*(s + 1)**2*(s + 3)/3
Let u(t) be the second derivative of t**7/42 - t**6/30 - 13*t - 2. Factor u(o).
o**4*(o - 1)
Let r(l) = 2*l**2 - 10. Let p(x) be the first derivative of -2*x**3/3 + 11*x - 18. Let b(j) = 2*p(j) + 3*r(j). Factor b(g).
2*(g - 2)*(g + 2)
Solve -14*v**4 - 19 + 3 - 14*v**4 - 5*v**3 + 48*v - 43*v**3 + 44*v**2 = 0.
-2, -1, 2/7, 1
Suppose 6*g = -2*j + 18, 5*g - 17 = -7. Solve -16/3 - 8*v + 2/3*v**4 + 2*v**j - 4/3*v**2 = 0.
-2, -1, 2
Let q(k) be the third derivative of -k**7/105 + 43*k**6/300 - 19*k**5/50 + k**4/12 + 14*k**3/15 + 132*k**2. What is i in q(i) = 0?
-2/5, 1, 7
Let g be 12198/107*(1 - (-10)/(-4)). Let p = 858/5 + g. Factor 3/5*s + 0 - 6/5*s**2 + p*s**3.
3*s*(s - 1)**2/5
Let j(s) be the first derivative of s**3/7 + 45*s**2/7 + 24*s - 157. Factor j(d).
3*(d + 2)*(d + 28)/7
Let i(j) = -8*j + 107. Let f be i(13). Factor -5/8*u**f + 0 + 1/8*u**4 + 0*u + 1/8*u**5 + 3/8*u**2.
u**2*(u - 1)**2*(u + 3)/8
Let n(d) = 3*d**3 - d**2 - 3*d - 1. Let y(l) = -1 + 3 - 6*l**3 + 3*l**3 + 7*l + 3*l**2 - 4*l**3. Let k = 7 - 12. Let v(s) = k*n(s) - 2*y(s). Factor v(q).
-(q - 1)*(q + 1)**2
Let b(m) be the second derivative of -27*m**8/2240 + 11*m**7/140 - 19*m**6/180 + m**5/15 + m**4/4 - 16*m. Let n(o) be the third derivative of b(o). Factor n(l).
-(l - 2)*(9*l - 2)**2
Let o = -4 + 6. Let j(w) = w**2 - 2. Let b be j(2). Solve 3*l**b + l**4 - o*l**2 - 2*l**4 = 0.
-1, 0, 1
Find z, given that 1/2*z**3 - 5/2*z**2 - 3/2 + 7/2*z = 0.
1, 3
Solve 100/7*r**2 - 4/7*r**3 - 352/7*r + 48 = 0 for r.
2, 21
Let 35*t + 37*t**2 - 5*t**2 + 15 - 12*t**2 = 0. What is t?
-1, -3/4
Let x(y) be the third derivative of 0*y**4 + 0*y + 0 + 0*y**3 + 1/24*y**6 - 12*y**2 - 1/12*y**5. Let x(f) = 0. Calculate f.
0, 1
Let s(m) = m - 5. Let u be s(7). Solve -18*r + 2*r**3 - 8 - 12*r**3 + 8*r**3 - 12*r**u = 0 for r.
-4, -1
Let u(c) be the first derivative of -3*c**5/140 + c**4/7 - 2*c**3/7 + 8*c**2 + 38. Let y(f) be the second derivative of u(f). Solve y(s) = 0.
2/3, 2
Let l(n) be the first derivative of -n**4/4 - 5*n**3/3 - 3*n**2 - 5*n - 1. Let x be l(-4). Factor 0*j**2 + 2/5*j**4 + 4/5*j**x + 0 + 0*j.
2*j**3*(j + 2)/5
Let y be (4 + (-216)/50)/((-6)/5). Solve 0*u + 0 + 2/15*u**3 - 2/15*u**4 + y*u**2 = 0.
-1, 0, 2
Factor 10*f**2 + 228 + 126*f - 10*f**2 - 4*f**2 + 98*f + 0*f**2.
-4*(f - 57)*(f + 1)
Let c(t) be the third derivative of t**5/60 + t**4/4 + 3*t**3/2 + 322*t**2. Solve c(u) = 0 for u.
-3
Let h(u) be the second derivative of u**8/80640 - 7*u**6/8640 - u**5/240 - u**4/4 - 11*u. Let n(w) be the third derivative of h(w). Factor n(a).
(a - 3)*(a + 1)*(a + 2)/12
Let z(m) be the third derivative of m**5/60 + 3*m**2 - 4*m. Let v be z(2). Find j such that -8/5*j**v + 0*j + 0 + 2*j**3 - 2/5*j**2 = 0.
0, 1/4, 1
Let z(l) = 2*l**2 - 4*l - 3. Let f be z(3). Factor 27*v + v**3 - 5*v**3 + 3*v**4 + 2*v**2 + 7*v**2 - 11*v**f.
3*v*(v - 3)**2*(v + 1)
Let q(h) be the first derivative of h**6/27 - 4*h**5/45 - h**4/6 + 8*h**3/27 + 4*h**2/9 + 14. Solve q(w) = 0 for w.
-1, 0, 2
Let a(r) be the first derivative of -r**4/14 + 8*r**3/21 - 3*r**2/7 + 96. Solve a(z) = 0 for z.
0, 1, 3
Factor -2/7*x**4 - 2/7*x**3 + 0 + 24/7*x + 16/7*x**2.
-2*x*(x - 3)*(x + 2)**2/7
Let q(n) be the third derivative of n**6/30 - 7*n**5/15 + 7*n**4/3 - 16*n**3/3 - n**2 + 11*n. Let q(i) = 0. What is i?
1, 2, 4
Let i(o) = -70*o - 3147. Let a be i(-45). Factor -5/6*t**a - 35/6*t + 5/2 + 25/6*t**2.
-5*(t - 3)*(t - 1)**2/6
Let j = 2/25437 + -6308386/127185. Let t = j + 50. Factor t - 6/5*o - 8/5*o**2.
-2*(o + 1)