z + n*z**2 + y = 0 for z.
7
Let q(o) be the second derivative of -o**7/273 + 11*o**6/195 - 21*o**5/65 + 34*o**4/39 - 40*o**3/39 - 316*o. Find i, given that q(i) = 0.
0, 2, 5
Let d(z) be the second derivative of -1/231*z**7 + 3/11*z**4 - 4/165*z**6 + 0*z**2 + 3/110*z**5 + 0 + 0*z**3 + 47*z. Factor d(n).
-2*n**2*(n - 2)*(n + 3)**2/11
Let t(x) be the first derivative of 1/3*x**4 + 41 + 170*x**2 - 44/3*x**3 + 1156/3*x. Factor t(y).
4*(y - 17)**2*(y + 1)/3
Let b(v) be the third derivative of -v**8/1344 - 3*v**7/140 - 31*v**6/480 + 3*v**5/40 + v**4/3 + 2*v**2 + 75*v. Solve b(w) = 0 for w.
-16, -2, -1, 0, 1
Suppose 815*j = 809*j. Let s(p) be the third derivative of -23*p**2 - 1/90*p**5 + 0 + 1/9*p**4 + j*p**3 + 0*p. Determine w, given that s(w) = 0.
0, 4
Let u be -2*(9 - (-70)/(-7)). Factor -2*a**u + 24084 + 4*a**2 - 11284 - 320*a.
2*(a - 80)**2
Let x(r) be the third derivative of r**5/480 + 27*r**4/16 + 161*r**3/12 - 2070*r**2 - 2. Determine i so that x(i) = 0.
-322, -2
Let c(f) = -5*f**2 - 125*f - 40. Let q(v) = -v + 2. Let j(g) = -c(g) - 20*q(g). Let j(p) = 0. What is p?
-29, 0
Let l(t) be the first derivative of 5*t**6/3 + 1756*t**5/35 + 3153*t**4/14 + 6308*t**3/21 + 76*t**2/7 - 48*t - 795. Find n, given that l(n) = 0.
-21, -2, -2/7, 1/5
Let y(t) be the second derivative of -5/12*t**4 - 17*t - 2 + 55/2*t**2 - 25/3*t**3. Suppose y(z) = 0. Calculate z.
-11, 1
Let s(j) = 2*j**3 - 32*j**2 + 285*j - 264. Let o(x) = 3*x**3 - 31*x**2 + 284*x - 268. Let y(w) = -3*o(w) + 4*s(w). Factor y(q).
-(q - 6)*(q - 1)*(q + 42)
Let v be (-3614)/13*9 - -12. Let a = v - -2494. Find h, given that 7/5 - 34/5*h**2 + 3/5*h**a + 16/5*h**3 + 8/5*h = 0.
-7, -1/3, 1
Let h = 103178 - 103176. Let 32/7*q**4 + 48/7*q**3 - 12/7*q + 2/7 + 2/7*q**h = 0. What is q?
-1, 1/4
Let s(z) = 4 + 6*z + 2 + 7*z**2 - 9*z**2 + 4*z**2. Let o be s(-2). Let -q**3 - 12*q**5 - 9*q**5 - 3*q**4 + 20*q**5 + 3*q**o + 2*q = 0. Calculate q.
-2, -1, 0, 1
Let h(w) be the first derivative of -91*w**3/15 - 44*w**2/5 + 3*w/5 - 9825. Factor h(t).
-(t + 1)*(91*t - 3)/5
Let 5117*q**2 - 3702*q**2 + 120319 - 20914 + 100815*q + 5*q**3 = 0. Calculate q.
-141, -1
Let b(n) be the second derivative of -2*n**7/315 + 2*n**5/45 - 2*n**3/9 - 31*n**2/2 + 15*n - 1. Let z(x) be the first derivative of b(x). What is v in z(v) = 0?
-1, 1
Let a = 667/30 + -137/6. Let q = -13/30 - a. Factor 1/3*r + 0 - q*r**2.
-r*(r - 2)/6
Let r be 3/(-21)*(-28 + 28). Let q(h) be the third derivative of 0*h**6 + 16*h**2 + 0*h + 0*h**4 - 1/45*h**5 + 1/315*h**7 + r + 1/9*h**3. Solve q(o) = 0.
-1, 1
Let l be ((-157486)/(-28926))/((-14)/(-12)). Factor -4/3*v**3 + 0 + 0*v + 0*v**2 + l*v**4 - 10/3*v**5.
-2*v**3*(v - 1)*(5*v - 2)/3
Let h(w) = 2*w**2 - w - 1. Let f(y) = -7*y**2 - y - 2. Suppose 33 = -14*n + 19. Let x(j) = n*f(j) - 4*h(j). Factor x(k).
-(k - 6)*(k + 1)
Suppose 6*v + 145 = 175. Factor -19*g - 38*g + 12*g + 21 + 49 + v*g**2.
5*(g - 7)*(g - 2)
Let q = -231305 + 925223/4. Factor -q*b**3 + 27/4*b + 21/2 - 9/2*b**2.
-3*(b - 2)*(b + 1)*(b + 7)/4
Let w(a) be the third derivative of a**8/80640 + a**7/20160 + 13*a**5/30 + 2*a**2 + 64. Let r(b) be the third derivative of w(b). Factor r(d).
d*(d + 1)/4
Let t(p) = -16*p**2 - 11*p. Let g(v) = 15*v**2 + 12*v. Let x(l) = -23*l - 17*l + 43*l - 12. Let m be x(6). Let s(y) = m*t(y) + 5*g(y). Factor s(z).
-3*z*(7*z + 2)
Let l = 70 + -67. Let g be (-2)/9 + 418/99. Factor -l + n**5 + n - 946*n**2 + 6*n**3 + 3 + g*n**4 + 950*n**2.
n*(n + 1)**4
Suppose 2763*l = 3234*l - 942. Factor 0 - 4*r - 2/3*r**4 + 4/3*r**3 + 10/3*r**l.
-2*r*(r - 3)*(r - 1)*(r + 2)/3
Suppose -9*g + 16 + 2 = 0. Factor -1 + 3 + 3*r - 7*r**2 + 1 + 3*r**4 - 6*r**3 + 3*r**5 + r**g.
3*(r - 1)**2*(r + 1)**3
Let l(v) = -6*v**2 - 68*v + 41. Let d(k) = -21*k + 18. Let r(a) = a**2 - 41*a + 38. Let c(s) = -5*d(s) + 2*r(s). Let w(g) = 11*c(g) + 4*l(g). Factor w(b).
-(b + 10)*(2*b - 1)
Let d be (36/15)/(26 + 196/(-14)). Determine j, given that -d*j**2 + 4/5 + 0*j = 0.
-2, 2
Solve 4/5*t**2 + 1008/5 - 132/5*t = 0.
12, 21
Let x(u) be the third derivative of -u**7/42 - 49*u**6/24 - 176*u**5/3 - 3025*u**4/6 - 365*u**2 - 3. Factor x(y).
-5*y*(y + 5)*(y + 22)**2
Let v(k) = -k**4 + 3*k**3 - k**2 - k - 1. Let b(d) = d**4 + 75*d**3 - 234*d**2 + 158*d + 2. Let p(o) = -5*b(o) - 10*v(o). Solve p(f) = 0.
0, 1, 2, 78
Let m be (-441)/(-476) + 402/1608. Find t, given that -22/17 - m*t + 2/17*t**2 = 0.
-1, 11
Let i be (12 - ((-464)/(-36) - 3)) + 3/(-3). Let l(m) = -m + 1. Let c be l(-1). Find a, given that i*a + 2/9*a**3 + 4/9 + 8/9*a**c = 0.
-2, -1
Let y = -108 - -114. Suppose 15*g**3 - 6*g**4 - 2*g**5 + y*g**2 - 18*g**5 + 8*g**5 - 3*g**5 = 0. Calculate g.
-1, -2/5, 0, 1
Let i(k) be the second derivative of k**8/26880 + k**7/10080 - k**6/720 - k**5/120 - 19*k**4/2 + 2*k + 7. Let c(h) be the third derivative of i(h). Factor c(a).
(a - 2)*(a + 1)*(a + 2)/4
Let u(v) be the first derivative of v**3/5 + 705*v**2 + 828375*v - 1758. Factor u(d).
3*(d + 1175)**2/5
Find y, given that y**2 + 0 + 271/2*y = 0.
-271/2, 0
Let n(k) be the first derivative of 14*k**3/9 - 10*k**2/3 - 48*k + 3049. Let n(x) = 0. What is x?
-18/7, 4
Suppose 0 = 3*y - 15, -2*n = 3*y - 36 + 13. Let f(c) be the third derivative of 1/2*c**3 - 5*c**2 + 1/40*c**5 - 3/16*c**n + 0 + 0*c. Solve f(p) = 0.
1, 2
Suppose -85*p = -28*p - 684. Factor -p*x**3 + 6*x + 28*x + 10*x - 30 - 2*x**4.
-2*(x - 1)**2*(x + 3)*(x + 5)
Let f(w) be the second derivative of w**7/14 - w**6/30 - 3*w**5/4 + 5*w**4/12 + 2*w**3 - 2*w**2 + 104*w + 1. Let f(a) = 0. Calculate a.
-2, -1, 1/3, 1, 2
Suppose -3/2*b**4 + 1863/2*b - 2343/2*b**2 + 165/2*b**3 + 2187 = 0. Calculate b.
-1, 2, 27
Suppose -n + 4*c = c - 39, 3*n + 3*c - 69 = 0. Suppose 4*q + 10 = 4*m - 18, n = m - 5*q. Factor 8*p**2 - 5*p - 1102 + m*p**2 + 1072.
5*(p - 2)*(2*p + 3)
Let w = 4147 + -2401. Let u = 1748 - w. Factor 32/3*g + 2/3*g**u + 128/3.
2*(g + 8)**2/3
Let k(a) = 6*a**3 - a**2 - a. Let y be k(2). Let c = -39 + y. Factor 20*j**3 - 17*j**3 - 20 - 12*j**4 + 9 + 30*j**2 - 13 - 12*j + c*j**5.
3*(j - 2)**3*(j + 1)**2
Let h = 1509/262 + 1204971/3406. Let a = 360 - h. Let -2/13*x**2 - a + 8/13*x = 0. What is x?
1, 3
Let t be 105/(-140)*(-32)/(-30) - 82/(-65). Suppose 0 = -x, 4*d - 3*d - 4*x = 2. Factor t - 2/13*n**d - 4/13*n.
-2*(n - 1)*(n + 3)/13
Let d(t) = 2*t**2 - 28*t. Suppose x + 4*c = -x + 28, 7 = -2*x + 3*c. Let l(p) = -p**2 + 15*p. Let g(j) = x*d(j) + 7*l(j). Factor g(r).
r*(r - 7)
Let s be (-15 + 627/38)/(0 - (-3)/54). Let i(g) be the first derivative of -5/6*g**3 + 0*g + 1/8*g**4 + g**2 + s. Factor i(b).
b*(b - 4)*(b - 1)/2
What is c in 654165538/9 + 1378/3*c**2 + 2/9*c**3 + 949442/3*c = 0?
-689
Let r(t) be the first derivative of -2*t**5/55 - 16*t**4/11 - 350*t**3/33 + 1476*t**2/11 + 3240*t/11 - 79. Solve r(o) = 0 for o.
-18, -1, 5
Suppose -18*h + 5 = -17*h. Let l(v) = 138*v - 690. Let z be l(h). Factor z*u + 2/3 - 2/3*u**2.
-2*(u - 1)*(u + 1)/3
Let g be ((-20)/(-15))/((-4)/(-558)). Suppose -13*s - 30 = -g. Factor 14 - 6 - 5 - 8*o**2 - 7 + s*o.
-4*(o - 1)*(2*o - 1)
Let z(i) be the first derivative of i**3/3 + 1050*i**2 + 1102500*i + 7935. Factor z(j).
(j + 1050)**2
Let t be 30/(-231) - (-297)/1089. Factor -t*p + 2/7 - 1/7*p**2.
-(p - 1)*(p + 2)/7
Let s = -301/2 - -3319/22. Let c(h) = -8*h - 86. Let i be c(-11). Factor 6/11*u**i - 10/11 + s*u.
2*(u - 1)*(3*u + 5)/11
Let v(p) = 151*p**2 - 4*p - 69. Let t be v(-7). Find o such that -16*o - 4*o**3 - 54*o - 7310 + t + 6*o + 28*o**2 = 0.
2, 3
Let c(k) = -k**3 + 22*k**2 + 86*k - 77. Let y be c(26). Let l = -3811/7 - y. Factor 0*i - l*i**3 - 2/7*i**2 - 2/7*i**4 + 0.
-2*i**2*(i + 1)**2/7
Let q(o) be the first derivative of -5*o**6/18 + 137*o**5/6 + 585*o**4/8 + 1415*o**3/18 + 355*o**2/12 - 2407. Let q(s) = 0. What is s?
-1, -1/2, 0, 71
Let k(q) be the second derivative of -q**4/28 - 47*q**3/14 + 81*q**2 + 2*q - 2054. Determine n, given that k(n) = 0.
-54, 7
Let r(u) be the second derivative of u**4/42 - 2*u**3/7 + 8*u**2/7 - 262*u - 2. Factor r(f).
2*(f - 4)*(f - 2)/7
Let c be ((-2268)/(-1470))/(45/42). Let t(l) be the first derivative of 2 + 3/5*l - c*l**5 - 13/5*l**3 + 15/4*l**4 - 3/10*l**2. Solve t(q) = 0.
-1/4, 1/3, 1
Let t(i) = -22*i**2 + 3258*i + 3052. Let y(x) = 47*x**2 - 6549*x - 6102. Let r(u) = -13*t(u) - 6*y(u). Suppo