 -2/9*i + 2/9*i**2 + j.
2*i*(i - 1)/9
Let u(w) be the first derivative of -5*w**6/4 + w**5/10 + 3*w**4/2 - 2*w**3/3 - 58. Solve u(x) = 0 for x.
-1, 0, 2/5, 2/3
Factor -83*x**4 + 30 + 70*x**2 - 85*x - x**5 + x**5 + 5*x**5 + 43*x**4 + 20*x**4.
5*(x - 3)*(x - 1)**3*(x + 2)
Let n be 1 + (23 - 7) - 15. Factor 9/2*b**4 - 1 + 13/2*b**3 + b**5 - 3/2*b + 5/2*b**n.
(b + 1)**3*(b + 2)*(2*b - 1)/2
Let o(c) be the first derivative of -c**5/15 - 5*c**4/3 - 118*c**3/9 - 30*c**2 - 27*c + 171. Find g such that o(g) = 0.
-9, -1
Let h(j) = j**2 - j + 1. Let u(z) = 4*z**2 + 2*z - 1. Let q(r) = -5*h(r) + u(r). Factor q(d).
-(d - 6)*(d - 1)
Let r(c) be the first derivative of -8*c**4 - 48*c**2 + 32 - 88/3*c**3 - 4/5*c**5 - 36*c. Factor r(p).
-4*(p + 1)**2*(p + 3)**2
Let 2/3*b**5 + 8/3*b - 2*b**4 + 0 - 10/3*b**3 + 2*b**2 = 0. Calculate b.
-1, 0, 1, 4
Suppose -15*k + 33*k = -13*k. Let h(s) be the second derivative of 1/18*s**4 - 1/15*s**6 + 2*s + k + 2/15*s**5 + 0*s**2 - 2/9*s**3. Factor h(p).
-2*p*(p - 1)**2*(3*p + 2)/3
Let t be (0/(-2))/(21 + -20). Let n(u) be the third derivative of 0*u**3 + 6*u**2 + t*u + 0 + 1/15*u**5 + 1/3*u**4. What is w in n(w) = 0?
-2, 0
Let c(v) be the first derivative of v**4/3 - 6*v**3 + 4*v**2 + 26*v/3 - 389. Solve c(f) = 0 for f.
-1/2, 1, 13
Let p be 2/(-186)*-8*216/96. Let b = p - -144/217. Factor 4/7 + b*h + 2/7*h**2.
2*(h + 1)*(h + 2)/7
Suppose 11*o + 27*o = 114. Factor 3/7*l**4 + 3/7 + 0*l - 6/7*l**2 + 0*l**o.
3*(l - 1)**2*(l + 1)**2/7
Let c = 1592 + -1590. Factor 3/2*j**c + 27/2 + 9*j.
3*(j + 3)**2/2
Suppose 0 = 4*z + 6*z + 5*i, 4*z + i = 0. Let f(o) be the second derivative of -1/4*o**2 + z - o + 1/8*o**3 + 5/48*o**4. Find h, given that f(h) = 0.
-1, 2/5
Let i(w) = 52*w + 58. Let y(q) = -q**2 - 206*q - 232. Let u(v) = 18*i(v) + 4*y(v). Let u(s) = 0. Calculate s.
-1, 29
Let y(k) = k**3 + 62*k**2 + 67*k**2 + 3*k - 133*k**2. Let m be y(3). What is w in 0*w + m - 4/3*w**3 + 0*w**2 - 25/3*w**5 - 20/3*w**4 = 0?
-2/5, 0
Let p be 7 + (-7 - -3) + 0. Determine b so that 0*b**4 + b**4 - 2*b**3 + p*b**3 - 2*b**2 + 0*b**3 = 0.
-2, 0, 1
Let v(g) be the second derivative of 1/77*g**7 + 9/110*g**5 + 3/55*g**6 + 0 + 0*g**2 + 0*g**3 + 1/22*g**4 + 15*g. Factor v(y).
6*y**2*(y + 1)**3/11
Factor 2/7*p**2 - 32/7*p + 0.
2*p*(p - 16)/7
Let g(x) = -3*x**2 - 397*x + 2. Let k be g(0). Factor 2/5*s**k + 14/5 - 16/5*s.
2*(s - 7)*(s - 1)/5
Let s be ((-21)/(-14))/(27/12 + 0). Let g(n) be the third derivative of -5*n**2 + s*n**3 + 3/4*n**4 + 0 + 2/15*n**5 + 0*n. Suppose g(w) = 0. What is w?
-2, -1/4
Let o(l) = -2*l**3 - 4*l**2 - 2. Let z be o(-3). Factor -z*c**2 - 221 + 221 + 12*c + 4*c**3.
4*c*(c - 3)*(c - 1)
Let x(n) = -n**2 + 12*n - 8. Let s be x(11). Let k be (7 - 7) + s/1. Factor h**2 + 12*h - 10*h + 0*h**2 - k.
(h - 1)*(h + 3)
Let g(s) be the first derivative of s**4/12 - s + 2. Let y(j) be the first derivative of g(j). Factor y(f).
f**2
Let m(q) be the third derivative of 0 + q**3 + 1/24*q**4 + 0*q + 21*q**2 - 1/60*q**5. Factor m(w).
-(w - 3)*(w + 2)
Let q(x) be the third derivative of x**8/1680 - x**7/105 + 11*x**6/600 + 41*x**5/150 - x**4/10 - 12*x**3/5 - 2*x**2 + 185*x. Let q(a) = 0. Calculate a.
-2, -1, 1, 6
Let b(s) be the third derivative of -s**7/70 - s**6/8 - 7*s**5/20 - 3*s**4/8 - 163*s**2. Determine y so that b(y) = 0.
-3, -1, 0
Let s = -15 + 17. Let b(o) be the first derivative of 0*o**3 - 1/13*o**s - 3 + 0*o + 1/26*o**4. What is y in b(y) = 0?
-1, 0, 1
Let k(g) be the first derivative of g**3 - 132*g**2 + 261*g - 280. What is m in k(m) = 0?
1, 87
Let z(p) be the first derivative of p**4/42 - 4*p**3/21 + 3*p**2/7 + 8*p - 13. Let k(u) be the first derivative of z(u). Factor k(a).
2*(a - 3)*(a - 1)/7
Let s(m) be the third derivative of -m**8/1344 + 17*m**7/420 + 9*m**6/40 + 11*m**5/24 + 37*m**4/96 - 234*m**2 + 2*m. Find y such that s(y) = 0.
-1, 0, 37
Let s(q) be the first derivative of 3*q**4/20 + 27*q**3/5 + 252*q**2/5 - 588*q/5 - 81. Factor s(n).
3*(n - 1)*(n + 14)**2/5
Let x(v) = -v**2 + 45*v - 620. Let y(j) = -j + 1. Let u(i) = x(i) - 5*y(i). Factor u(l).
-(l - 25)**2
Let w be -1*((-38)/14 + 3) + 456/665. What is s in -w*s**2 + 1/5*s**5 + 0 + s**3 - 4/5*s**4 + 0*s = 0?
0, 1, 2
Let y(c) be the second derivative of 1/12*c**4 - 1/2*c**2 + 0 + 6*c - 1/12*c**3 + 1/40*c**5. Suppose y(k) = 0. Calculate k.
-2, -1, 1
Let d(x) be the first derivative of 28125*x**4/2 - 200*x**3 + 4*x**2/5 + 896. Solve d(f) = 0 for f.
0, 2/375
Find m, given that -8/11*m**3 + 2/11*m**4 + 0 + 20/11*m - 14/11*m**2 = 0.
-2, 0, 1, 5
Let d(v) be the second derivative of 0 + 1/6*v**4 + 2*v**2 + 0*v**3 - 5*v + 1/30*v**5. Let z(b) be the first derivative of d(b). Solve z(g) = 0 for g.
-2, 0
Let s(m) = -5*m**3 - 52*m**2 + 145*m - 53. Let i(v) = 2*v**3 - v + 1. Let c(u) = -5*i(u) - s(u). Factor c(q).
-(q - 6)*(q - 4)*(5*q - 2)
Solve 3/5*r**4 - 318/5*r - 9/5*r**2 + 108/5*r**3 + 216/5 = 0.
-36, -2, 1
Let t(f) be the third derivative of -f**5/60 - f**4/4 - f**3 - 4*f**2. Let s be t(-4). Factor -4*z**s + 8*z + 4*z**2 - 4*z**2.
-4*z*(z - 2)
Suppose 33 + 93 = -3*f. Let v be f/(-10)*4/14. Let -6/5*w**2 + 2/5*w**3 - 2/5 + v*w = 0. Calculate w.
1
Let t(k) be the first derivative of 2/35*k**5 - 2/3*k**3 + 4/7*k**2 + 1/7*k**4 - 24 + 0*k. Solve t(h) = 0.
-4, 0, 1
Let i(t) = -13*t**2 + 9*t - 39. Let j(v) = -13 + 4*v - 6 - 37*v**2 + 30*v**2. Let x(g) = -6*i(g) + 11*j(g). Let x(d) = 0. What is d?
5
Let x(o) be the third derivative of o**6/60 + o**5/30 - o**4 - o**2 - 173*o. What is p in x(p) = 0?
-4, 0, 3
Suppose -3*v = -8*v + 10. What is q in -5*q**3 - 8*q**2 + q**2 - 5*q + 17*q**v = 0?
0, 1
Suppose 3*g + 14 = 26. Let j(w) be the second derivative of 8/3*w**3 + 0 - w**g + 8*w**2 + 2*w. Factor j(s).
-4*(s - 2)*(3*s + 2)
Let y(k) = 21*k - 271. Let u be y(13). Factor -d - 1/2*d**3 + 0 + 3/2*d**u.
-d*(d - 2)*(d - 1)/2
Determine z, given that -45/2*z**2 + 0 - 1/4*z**3 - 89/4*z = 0.
-89, -1, 0
Let p(y) be the second derivative of -y**6/80 - 3*y**5/40 - y**4/8 - 3*y**2 + 10*y. Let n(z) be the first derivative of p(z). Solve n(x) = 0 for x.
-2, -1, 0
Suppose x - 6 = -2*x. Let o = -198 - -596/3. Solve o - 8/9*s + 2/9*s**x = 0.
1, 3
Let h(t) be the first derivative of t**4/34 + 28*t**3/51 + 49*t**2/17 + 128. Factor h(z).
2*z*(z + 7)**2/17
Factor -8025 - 2*a**2 + 10*a + 8025.
-2*a*(a - 5)
Let l(w) be the third derivative of -w**6/240 + 5*w**5/8 - 57*w**4/2 - 361*w**3/3 - 171*w**2. Let l(q) = 0. What is q?
-1, 38
Let a(v) = -v**3 - 6*v**2 - 113*v - 538. Let l be a(-5). Determine r so that 0*r**3 - 4*r**l + 8/3*r + 0 + 4/3*r**4 = 0.
-2, 0, 1
Let v(q) be the third derivative of -q**6/40 - q**5/2 - 4*q**4 - 16*q**3 - 29*q**2. Let v(g) = 0. Calculate g.
-4, -2
Let l(k) be the third derivative of -3/5*k**3 + 0*k + 0 + 4*k**2 + 1/8*k**4 + 1/100*k**5. Factor l(v).
3*(v - 1)*(v + 6)/5
Factor 3346*w - 20 + 20*w**2 - 55*w**2 - 3246*w - 45*w**3.
-5*(w - 1)*(w + 2)*(9*w - 2)
Find v such that -4*v + 0 + 6*v**4 - 172/5*v**3 + 114/5*v**2 = 0.
0, 1/3, 2/5, 5
Let o(p) be the second derivative of 31*p + 0*p**2 + 0 + 8/33*p**3 - 1/11*p**4 + 1/110*p**5. Find g, given that o(g) = 0.
0, 2, 4
Suppose 6*y**3 + 3 + 6*y**5 + 12*y**2 + 31*y**4 - 12*y - 24*y**4 - 12*y**4 - 10*y**4 = 0. Calculate y.
-1, 1/2, 1
Let l(d) = -8*d**2 - 171*d - 63. Let b be l(-21). Factor b*s**2 - 6/5*s + 2/5*s**3 + 4/5.
2*(s - 1)**2*(s + 2)/5
Let u(d) be the third derivative of -10*d**2 + 0*d + 1/30*d**6 + 1/84*d**8 - 2/3*d**5 - 2/3*d**4 + 8/105*d**7 + 16/3*d**3 + 0. Factor u(v).
4*(v - 1)**2*(v + 2)**3
Let t be 5 - ((-8)/(-6) - (-4 + 1)). What is b in 0 - 2/3*b + 8/3*b**2 + 8/3*b**4 - 4*b**3 - t*b**5 = 0?
0, 1
Solve 104/9 - 2/9*d**5 - 110/9*d**3 - 34/9*d**4 - 70/9*d**2 + 112/9*d = 0.
-13, -2, -1, 1
Let x be 80/(-8) - (-225)/21. Suppose -3/7*c**2 - 2/7 - 1/7*c**3 + 1/7*c**4 + x*c = 0. Calculate c.
-2, 1
Let p be (5 - 27) + 22 - ((-4)/3 - -1). Let 0*n**2 - p*n + 1/3*n**3 + 0 = 0. Calculate n.
-1, 0, 1
Let m = -41/290 - -7/29. Let p(f) be the second derivative of -f**4 + m*f**6 + 0*f**3 + 0 - 3/5*f**5 + 0*f**2 - 6*f + 1/14*f**7. Let p(l) = 0. Calculate l.
-2, -1, 0, 2
Let h(x) be the first derivative of -x**6/720 + x**5/60 + 5*x**4/48 - 26*x**3/3 + 11. Let b(g) be the third derivative of h(g). Factor b(m).
-(m - 5)*(m + 1)/2
Let y(b) be the first deriva