 + 34*u = 0.
-1, 0, 2/3
Let c = -96037/630 + 1372/9. Let l(j) be the third derivative of 1/28*j**4 + 0*j**3 + c*j**5 + 0 - 2*j**2 + 0*j. Let l(u) = 0. Calculate u.
-3, 0
Let g(w) = -w**3 + 17*w**2 + 37*w + 21. Let i be g(19). Factor -23*a**2 + 3*a + a**3 - 2 + 2 + 19*a**i.
a*(a - 3)*(a - 1)
Suppose 0 + 8 = 4*y. Factor -12*d + 2*d**y - 8*d + 15*d + 3*d**2.
5*d*(d - 1)
Let s(x) = -3*x**4 + 183*x**3 + 150*x**2 - 18. Let y(m) = -m**4 + 52*m**3 + 43*m**2 - 5. Let o(i) = -5*s(i) + 18*y(i). Find d such that o(d) = 0.
-1, 0, 8
Let v(q) be the first derivative of -q**6/720 - q**5/60 - q**4/16 - 7*q**3 - 27. Let x(p) be the third derivative of v(p). Determine g, given that x(g) = 0.
-3, -1
Let g(p) be the third derivative of -p**6/30 + 7*p**5/15 - 5*p**4/2 + 6*p**3 + p**2 - 130. Find h such that g(h) = 0.
1, 3
Let c(p) be the third derivative of -p**7/70 + 21*p**6/40 - 19*p**5/20 - 21*p**4/8 + 10*p**3 - 192*p**2. Factor c(s).
-3*(s - 20)*(s - 1)**2*(s + 1)
Let c(b) = b**3 - 7*b**2 - 8. Let s be c(7). Let h = 11 + s. Let 2*v**2 - 18*v**3 - h*v**2 - v**4 + 20*v**3 = 0. Calculate v.
0, 1
Let a = 138 + -263. Let c be ((-510)/a)/(4/20) + 2. Determine k, given that -16/5*k - 7*k**2 + 4/5 + c*k**4 - 196/5*k**5 + 131/5*k**3 = 0.
-1/2, 2/7, 1
Let v(o) = -7*o**3 + 2*o**2 + 20*o + 6. Let u(y) = -20*y**3 + 6*y**2 + 58*y + 18. Let d(g) = 5*u(g) - 14*v(g). Let d(t) = 0. What is t?
-1, 3
Let a(t) be the third derivative of -2*t**7/105 + 2*t**6/5 - 2*t**5 + 14*t**4/3 - 6*t**3 - 438*t**2 - 1. Find g, given that a(g) = 0.
1, 9
Let t be 2*1*(1 + 3 - 3). Factor 100*k**3 - 10*k**2 - 36*k**4 - 23*k**t - 15*k**2 - 16*k.
-4*k*(k - 2)*(k - 1)*(9*k + 2)
Let o be 10/(-4)*(-1 - 1). What is l in -o - 5*l + 3*l**3 - 4*l - 1 = 0?
-1, 2
Let h(l) be the first derivative of -l**6/36 + l**5/3 - 5*l**4/4 + 45*l**2/4 - 27*l - 62. Let h(m) = 0. Calculate m.
-2, 3
Find t such that 2/17*t**3 + 38/17*t + 24/17 + 16/17*t**2 = 0.
-4, -3, -1
Factor 11/7*x**3 + 1/7 - 3*x**2 + 9/7*x.
(x - 1)**2*(11*x + 1)/7
Suppose -2037*d**2 + 772*d + 705*d**2 + 52*d**2 + 68*d + 1540*d**3 - 242*d**4 - 72 - 1434*d**2 = 0. Calculate d.
2/11, 3
Suppose -2*m = 3*m - 3*h - 23, -5*m - h + 19 = 0. Suppose -m*y**2 + 2*y + 18*y + 5*y - 16 - 5*y = 0. What is y?
1, 4
Let m be (2/(-5))/((2904/(-1065))/11). Let a = m + -5/4. Factor -2/11*p**5 - 16/11*p**2 + 14/11*p + 4/11*p**3 - 4/11 + a*p**4.
-2*(p - 1)**4*(p + 2)/11
Factor 2/9*y**2 + 2/3*y + 4/9.
2*(y + 1)*(y + 2)/9
Let f(b) be the first derivative of b**6/27 - 4*b**5/45 - 2*b**4/9 + 4*b**3/27 + b**2/3 + 79. What is m in f(m) = 0?
-1, 0, 1, 3
Let o = -17371 - -17373. Determine h so that 0 - 1/4*h**o - 1/4*h = 0.
-1, 0
Let a(l) be the second derivative of 1/4*l**2 + 0 + 1/12*l**4 + 1/80*l**5 + 28*l + 5/24*l**3. Factor a(v).
(v + 1)**2*(v + 2)/4
Let q be 3/((-1)/1) - -2. Let f(v) = 0 + 11*v + 0 - v**2 - 12*v. Let k(m) = -m**2 + 2*m. Let z(x) = q*k(x) - 2*f(x). Let z(r) = 0. What is r?
0
Let i(r) be the second derivative of r**7/525 + r**6/150 - r**4/30 - r**3/15 + 2*r**2 - 3*r. Let n(c) be the first derivative of i(c). Factor n(t).
2*(t - 1)*(t + 1)**3/5
Let z(g) be the third derivative of g**10/264600 + g**9/52920 + g**8/35280 + 7*g**5/12 - 4*g**2. Let u(f) be the third derivative of z(f). Factor u(r).
4*r**2*(r + 1)**2/7
Let g(w) be the third derivative of w**5/30 + 13*w**4/12 - 14*w**3/3 - 2*w**2 + 53. Determine t, given that g(t) = 0.
-14, 1
Let k be (204/476)/((-156)/56 + 3). Factor 2/9*q**k + 0 + 2/9*q.
2*q*(q + 1)/9
Let m be -1 + -19 + (2 - 3). Let r = 30 + m. Suppose -2 + 2*z + 4*z + 2*z**3 + 3*z**2 - r*z**2 = 0. What is z?
1
Suppose -75 = -19*n + 4*n. Suppose n = -5*o - 5*x, -12 = -x + 4*x. Factor 0 - 2/7*k - 10/7*k**2 - 8/7*k**o.
-2*k*(k + 1)*(4*k + 1)/7
Let j = 1 - -2. Let n be (-1 - (2 + -3))*(-1067)/(-3201). Factor 0*v**2 + 0 - 1/8*v**5 + n*v + 0*v**j - 1/4*v**4.
-v**4*(v + 2)/8
Let q be (-1)/(1/(-17))*(-12 + -4). Let g = q + 274. Factor -16/15*v**g + 2/15*v**5 - 4/15 - 14/15*v + 4/15*v**4 - 4/15*v**3.
2*(v - 2)*(v + 1)**4/15
Let c(f) be the second derivative of f**4/6 - 102*f**3 + 23409*f**2 + 3*f - 12. Factor c(l).
2*(l - 153)**2
Let h be ((-35)/14)/(1/2). Let i(y) = y + 9. Let p be i(h). Let 0*w**4 - w**2 - 3*w**3 - w - 2*w**p - 2*w**2 + w**4 = 0. Calculate w.
-1, 0
Suppose -8*p + 8 = 16. Let a(k) = -k**2. Let z(f) = -20*f**3 - 71*f**2 - 15*f. Let d(u) = p*z(u) + 6*a(u). Factor d(l).
5*l*(l + 3)*(4*l + 1)
Determine z so that 18 - 7*z**2 + 100*z**3 + 53*z**2 + 70*z - 106*z**3 = 0.
-1, -1/3, 9
Let w(k) be the third derivative of k**6/180 + k**5/5 + 17*k**4/36 - 80*k**2. Determine o so that w(o) = 0.
-17, -1, 0
Let b be 5 + 4*(-4)/8. Find z, given that -36 + b*z**2 - 19*z**2 - 37*z - 2*z**3 - 5*z = 0.
-3, -2
Let c = 268 + -265. Let d(y) be the third derivative of 1/300*y**5 - 1/120*y**4 - 1/1050*y**7 + c*y**2 + 0*y + 1/600*y**6 + 0*y**3 + 0. Factor d(x).
-x*(x - 1)**2*(x + 1)/5
Let n be (-6)/(-15)*(1 - 11) - -8. Factor 2/5*u - 2/5*u**3 - 1/10*u**n - 1/5*u**2 + 3/10.
-(u - 1)*(u + 1)**2*(u + 3)/10
Find z, given that 2*z + 4*z + 3*z**4 - 10*z**2 + 2*z**3 - 5*z**4 - 2*z + 6*z**3 = 0.
0, 1, 2
Let o(a) be the first derivative of -2 + 2/15*a**3 + 40*a - 4*a**2. Let o(d) = 0. What is d?
10
Determine s, given that -14/19*s + 18/19*s**4 + 14/19*s**3 - 22/19*s**2 + 4/19 = 0.
-1, 2/9, 1
Factor -148*y**2 - 644*y**2 - 458*y**2 - 304*y - 16 - 194*y**2.
-4*(19*y + 2)**2
Let w = 798 - 796. Let j = 1499/7 - 213. Factor -j*x + 16/7 + 1/7*x**w.
(x - 4)**2/7
Let q = -36846/7 + 5254. Let r = q + 10. Factor 0 - 2/7*i + r*i**2.
2*i*(i - 1)/7
Let y(a) be the first derivative of 2/3*a**3 + 1/3*a**4 - 8/3*a - 4 - 2/15*a**5 - 4/3*a**2. Suppose y(b) = 0. Calculate b.
-1, 2
Let f(c) be the first derivative of -17 - 1/6*c**4 + 0*c - 1/9*c**3 + 0*c**2 - 1/15*c**5. Factor f(m).
-m**2*(m + 1)**2/3
Let r(y) = -y**2 - 10*y + 13. Let q be r(-11). Suppose q*u = 8 + 2. Let u*f + 18*f**2 - 2*f**2 + 8*f**3 - f - 12*f**5 - 16*f**4 = 0. Calculate f.
-1, -1/3, 0, 1
Let l be 1 - ((2 - (7 - 3)) + -1). Factor -3*a**2 - 3 + 6 + l + 5.
-3*(a - 2)*(a + 2)
Let m(g) be the first derivative of -g**4/26 - 22*g**3/39 + 57*g**2/13 - 90*g/13 - 262. Determine b so that m(b) = 0.
-15, 1, 3
Let x(n) = -81*n**2 - 6*n - 21. Let g(i) = 16*i**2 + i + 4. Let h(m) = -m**2 - 7*m + 9. Let t be h(3). Let f(v) = t*g(v) - 4*x(v). Factor f(w).
-3*w*(4*w - 1)
Solve 0 + 6/11*n**4 + 0*n + 2/11*n**2 + 2/11*n**5 + 6/11*n**3 = 0 for n.
-1, 0
Let q(y) be the second derivative of 3*y**5/20 + 7*y**4/4 - 4*y**3 + 107*y. Factor q(p).
3*p*(p - 1)*(p + 8)
Suppose 0 = -3*x - 2*q - 728, -3*x = -0*q + 3*q + 726. Let c = x + 247. Suppose -1/7*t**5 + 3/7*t**4 + 0*t + 1/7*t**c + 0 - 3/7*t**2 = 0. Calculate t.
-1, 0, 1, 3
Let a be (1/35)/((-6)/(-7)). Let k(o) be the third derivative of 0*o**3 - a*o**5 + 0*o + 1/6*o**4 + 2*o**2 + 0. Suppose k(x) = 0. Calculate x.
0, 2
Let s(c) = -c**2 - 11*c + 1. Let m be s(-11). Let n(w) = -w**2 + w + 1. Let o(d) = -3*d**2 + 6*d + 3. Let p(i) = m*o(i) - 6*n(i). Factor p(y).
3*(y - 1)*(y + 1)
What is r in 4/7*r + 10/7*r**2 - 40/7 - 1/7*r**3 = 0?
-2, 2, 10
Let c = -546 + 546. Let b(n) be the second derivative of -2*n + 2/21*n**3 + 0*n**2 + 1/42*n**4 + c - 4/35*n**5 + 1/21*n**6. Factor b(g).
2*g*(g - 1)**2*(5*g + 2)/7
Let q(z) be the second derivative of -z**5/10 - 2*z**4 - 15*z**3 - 54*z**2 - 2*z + 18. Find v, given that q(v) = 0.
-6, -3
Let y(a) be the second derivative of a**4/30 - a**3/15 - 42*a**2/5 + 151*a. Factor y(q).
2*(q - 7)*(q + 6)/5
Determine i so that -448/17*i - 1108/17*i**2 - 40/17*i**5 - 376/17*i**4 - 64/17 - 1114/17*i**3 = 0.
-4, -1/2, -2/5
Factor -308*n**2 - 100*n**4 + 721 - 721 + 141*n**5 - 103*n - 306*n**3 - 140*n**5.
n*(n - 103)*(n + 1)**3
Let x(z) be the third derivative of 5*z**8/336 + 2*z**7/21 + z**6/8 - z**5/3 - 5*z**4/6 - 71*z**2. Factor x(c).
5*c*(c - 1)*(c + 1)*(c + 2)**2
Let p = -2215/4 + 554. Let p*q**3 + 0 + 9/4*q - 3/2*q**2 = 0. Calculate q.
0, 3
Let w = -44/67 + 3922/871. Let i = w + -524/143. Factor -2/11 + 4/11*x - i*x**2.
-2*(x - 1)**2/11
Let z be (-4)/(-6)*-1*27/(-6). Let 2/7*w**4 + 4/7*w**5 + 4/7*w - 4/7*w**2 - 8/7*w**z + 2/7 = 0. Calculate w.
-1, -1/2, 1
Let z(k) = -k**3 - 8*k**2 + 10*k + 11. Let s be z(-9). Factor j**2 + 10*j**s - 13*j**2 + 4*j**3 + 2*j**4 - 4*j.
2*j*(j - 1)*(