(h) = h + 1. Suppose -6 = -6*u - 0. Let n(f) = -2*f**3 + 6*f**2 - 3*f - 11. Let x(l) = u*n(l) + 5*k(l). Factor x(d).
-2*(d - 3)*(d - 1)*(d + 1)
Factor 14*d + 6/5*d**2 + 44/5.
2*(d + 11)*(3*d + 2)/5
Let d be (0 - (4 - 4)) + 6/4. Suppose -6 = 5*t - 2*s + 4, -5*s = 4*t - 25. Factor d*i**2 - 3/2*i**3 + t + 3*i.
-3*i*(i - 2)*(i + 1)/2
Let g(t) be the third derivative of t**5/210 - 5*t**4/14 - 64*t**3/21 + 201*t**2 - 2. Factor g(u).
2*(u - 32)*(u + 2)/7
Let a(k) = k. Let l(y) = y**2 - 8*y + 4. Let u be 3/((-2 - 0) + 0 + 3). Let s(n) = u*a(n) + l(n). Suppose s(w) = 0. Calculate w.
1, 4
Let a = -1 + 1. Suppose a = -4*b - 5*h + 7, 3*h - 12 = -5*b - 0*b. Factor i**5 + b*i**4 - 2*i**4 - 4*i**5 + 5*i**4.
-3*i**4*(i - 2)
Let q be (171/6)/(-19)*(-2)/24. Let t(x) be the first derivative of 1/12*x**3 + q*x**2 + 0*x + 1. Suppose t(r) = 0. What is r?
-1, 0
Let l(b) = 2*b**4 - 6*b**3 + 14*b**2 - 14*b - 20. Let d(a) = a**4 - 5*a**3 + 14*a**2 - 10*a - 18. Let q(k) = 4*d(k) - 3*l(k). What is p in q(p) = 0?
-3, -1, 1, 2
Let -4*c - 30*c**2 + 28*c**2 - 2*c + 7 - 11 = 0. What is c?
-2, -1
Let c = -27903/28 + 6981/7. Find d such that 0 + 3/2*d + c*d**2 = 0.
-2, 0
Suppose 48*w = 24*w - 103*w. Let w + 0*g - 3/2*g**4 + 0*g**2 - 3/8*g**5 - 3/2*g**3 = 0. Calculate g.
-2, 0
Let d(s) be the third derivative of -4/3*s**6 + 2/15*s**7 - s**2 + 0*s - 5/3*s**4 + 0 + 17/5*s**5 - 16/3*s**3. Determine h, given that d(h) = 0.
-2/7, 1, 4
Factor 4/9 + 1/9*d**2 + 5/9*d.
(d + 1)*(d + 4)/9
Let k(l) = -4*l - 20. Let j be k(-11). Let d be (j/80)/((-6)/(-10)). Factor 2 + 4*z + 5/2*z**2 + d*z**3.
(z + 1)*(z + 2)**2/2
Let l(p) be the third derivative of p**8/1344 - p**7/252 - 5*p**6/144 + p**5/4 - 13*p**4/12 + 6*p**2. Let z(b) be the second derivative of l(b). Factor z(m).
5*(m - 3)*(m - 1)*(m + 2)
Suppose -4*f - 5*y - 15 + 51 = 0, f = 3*y - 8. What is o in 5*o**5 - 5*o**f - 10*o**5 + 21*o**3 + 0*o**2 + 5*o**2 - 6*o**3 - 10*o = 0?
-2, -1, 0, 1
Let k(x) be the third derivative of -5*x**8/336 - 6*x**7/7 - 18*x**6 - 144*x**5 + x**2 + 187. Find a such that k(a) = 0.
-12, 0
Factor 3/5*a**3 + 0*a - 24/5*a**2 + 0.
3*a**2*(a - 8)/5
Let r(z) be the third derivative of z**8/1008 + z**7/630 - 7*z**6/180 - 7*z**5/45 + z**4/9 + 16*z**3/9 + 2*z**2 + 18. Factor r(v).
(v - 4)*(v - 1)*(v + 2)**3/3
Let b(f) be the first derivative of -f**4/32 - f**3/16 - 15*f - 28. Let r(d) be the first derivative of b(d). Find x such that r(x) = 0.
-1, 0
Let 25*m**2 + 5*m - 31*m + m**3 - 215 + 163 - 2*m = 0. Calculate m.
-26, -1, 2
Suppose b - 5*r - 15 = -4*b, 3*r = 5*b - 15. Let k(i) = i**2 + 13*i + 9. Let t(w) = w**2 + w + 1. Let d(x) = b*t(x) + k(x). Let d(o) = 0. What is o?
-3, -1
Let b(m) be the second derivative of m**4 + 4/3*m**3 + 0 - 8*m + 1/15*m**6 + 2/5*m**5 + m**2. Factor b(j).
2*(j + 1)**4
Let k = 0 - -2. Let m = -620/3 + 207. Find g, given that m*g**5 + 0*g - 1/3*g**3 + 0 - 1/3*g**k + 1/3*g**4 = 0.
-1, 0, 1
Suppose 0 + 1 = 5*t + 3*p, -4*t - 2*p + 2 = 0. Let a be (-16)/(-10) + (-2)/(-5). Suppose -4*y**3 + y + 4*y**3 + 0 - 2 + t*y**a - y**3 = 0. Calculate y.
-1, 1, 2
Let x(g) be the second derivative of g**4/90 - 13*g**3/45 + 22*g**2/15 + 196*g. Factor x(c).
2*(c - 11)*(c - 2)/15
Let a(i) = 658*i - 1316. Let y be a(2). Factor 0 + 2/13*l**3 + y*l**2 - 2/13*l.
2*l*(l - 1)*(l + 1)/13
Let m(d) be the second derivative of d**6/90 + d**5/15 + d**4/12 - 2*d + 86. Factor m(k).
k**2*(k + 1)*(k + 3)/3
Let u be (-7)/(-42)*3*0. Suppose 3*l - 5*l - 9*l = u. Suppose 3/4 + 3/2*m - 3/2*m**3 + l*m**2 - 3/4*m**4 = 0. What is m?
-1, 1
Let d(l) = 20*l**4 - 109*l**3 + 11*l**2 + 429*l + 300. Let c(a) = -4*a**4 + 22*a**3 - 2*a**2 - 86*a - 60. Let n(i) = 11*c(i) + 2*d(i). Solve n(g) = 0.
-1, 3, 5
Let n = -56 - -7. Let h = n + 52. Suppose 0*f**h + 1/3 + 1/3*f**4 - 2/3*f**2 + 0*f = 0. Calculate f.
-1, 1
Let r be (-43)/129 + (-2)/(-4). Factor 2/3*v**2 - r*v**4 + 0 + 4/3*v - 1/3*v**3.
-v*(v - 2)*(v + 2)**2/6
Let h(i) be the third derivative of i**5/30 - 32*i**4 + 12288*i**3 + 480*i**2 + 1. Factor h(t).
2*(t - 192)**2
Let b(o) = -3*o**3 + 61*o**2 - 16*o - 77. Let c be b(20). Let f(g) be the first derivative of -1/4*g**4 + 0*g**c + 0*g + 0*g**2 + 9. Find l such that f(l) = 0.
0
Let g(l) be the second derivative of l**6/10 + l**5/20 - l**4 - 2*l**3/3 - 365*l. Solve g(i) = 0.
-2, -1/3, 0, 2
Let r(l) = -4*l**2 + 11*l. Let t(c) = 5*c + 6*c - 10*c. Let w(b) = r(b) - 3*t(b). Factor w(q).
-4*q*(q - 2)
Let w(y) = 7*y**3 + 35*y**2 + 12*y - 5. Let v(n) = -3*n**3 - 17*n**2 - 6*n + 3. Let s = -132 + 129. Let o(a) = s*w(a) - 5*v(a). Find j, given that o(j) = 0.
-3, -1/3, 0
Suppose 2*j + 64*m - 68*m - 42 = 0, 0 = 3*j - 4*m - 45. Suppose 21/2*o**2 - 6*o**j - 6 + 6*o - 9/2*o**4 = 0. What is o?
-2, -1, 2/3, 1
Let s(c) be the second derivative of 5/12*c**4 + 0 + c + 245/2*c**2 + 35/3*c**3. Factor s(d).
5*(d + 7)**2
Let q = -97 + 101. Let y(h) be the third derivative of -2/3*h**3 + 0 + 0*h - 1/3*h**q - 3*h**2 + 2/105*h**7 + 1/15*h**6 + 0*h**5. Suppose y(s) = 0. What is s?
-1, 1
Let v(d) = d**2 + 31. Let l(q) = -2*q**2 - 30. Let c(p) = 5*l(p) + 6*v(p). Let c(y) = 0. What is y?
-3, 3
Suppose -2*n - 11 = 1. Let s be (-2)/(-4)*(-2 - n). Let 0 + 0*a + 2/5*a**s = 0. What is a?
0
Let h(l) be the first derivative of -l**6/18 + 7*l**5/15 + l**4/12 - 7*l**3/9 - 210. Determine o, given that h(o) = 0.
-1, 0, 1, 7
Let h(k) be the second derivative of -k**6/15 + 7*k**5/20 - k**4/4 + k + 86. Factor h(b).
-b**2*(b - 3)*(2*b - 1)
Let k(h) be the second derivative of 11/3*h**3 - 4*h**2 + 29*h + 0 + 1/15*h**6 + 1/10*h**5 - 3/2*h**4. Find v, given that k(v) = 0.
-4, 1
Suppose -5*o + 61 = 3*h, 4*o = 3*o - h + 13. Suppose -3*p - 4*r = o, r - 6*r = -p + 28. Suppose -1/6*w**2 + 1/3*w - 1/6*w**p + 0 = 0. Calculate w.
-2, 0, 1
Let o(k) be the second derivative of 23*k**6/2340 - 5*k**5/156 + k**4/78 - 17*k**3/6 + 2*k. Let z(c) be the second derivative of o(c). Factor z(q).
2*(q - 1)*(23*q - 2)/13
Suppose -70*k + 64*k + 444 = 0. Solve -230*t**2 - 28*t**3 + 24 - k*t + 126*t**2 + 22*t = 0 for t.
-3, -1, 2/7
Let t = -70 + 73. Factor -113*k**4 + 6*k**t - 6*k + 122*k**4 + 0 - 9*k**2 + 0.
3*k*(k - 1)*(k + 1)*(3*k + 2)
Let l(b) be the first derivative of 1/3*b**3 - 4 + 3*b - 9/2*b**2. Let g(p) = -2*p**2 + 14*p - 4. Let z(x) = -5*g(x) - 8*l(x). Find d, given that z(d) = 0.
-2, 1
Factor 0 - 1/10*g**2 + 3/5*g.
-g*(g - 6)/10
Let y(v) = 55*v**5 - 40*v**4 + 30*v**2 + 30*v. Let d(k) = k**5 - k**4 + k**2 + k. Let x(u) = 30*d(u) - y(u). Factor x(t).
-5*t**4*(5*t - 2)
Let m = 1961/8 + -1939/8. Factor -1/4*u**4 + 3/2*u**3 + 3/2*u + 0 - m*u**2.
-u*(u - 3)*(u - 2)*(u - 1)/4
Let l be (-3 + 2)/(6/24). Let d be (-12)/(-18)*(1/l - -1). Solve 3/4*p**5 + 0 + 7/4*p**3 + 0*p + 2*p**4 + d*p**2 = 0 for p.
-1, -2/3, 0
Suppose 18 = -m + 4*m. Determine p so that 24*p**4 + 7*p**5 - 4*p**5 - 24*p**4 - 9*p**3 - m*p**2 = 0.
-1, 0, 2
Suppose 122/3*k - 2/3*k**3 - 62/3 - 58/3*k**2 = 0. What is k?
-31, 1
Let i(v) be the second derivative of -v**7/90 - 23*v**6/1080 + v**5/45 + v**4/24 + 2*v**3/3 + 6*v. Let m(j) be the second derivative of i(j). Factor m(d).
-(d + 1)*(4*d + 1)*(7*d - 3)/3
Let v = 17 - 9. Suppose 4*y = v*y. Factor y*c + c**2 - 9*c + c - 16 - 2*c**2.
-(c + 4)**2
Let d(i) be the second derivative of -i**5/140 - 9*i**4/7 - 648*i**3/7 - 23328*i**2/7 - 2*i - 38. Determine m, given that d(m) = 0.
-36
Let g(f) be the third derivative of -f**8/336 - 4*f**7/315 - f**6/360 + 2*f**5/45 + f**4/18 - 6*f**2 - 1. Find c, given that g(c) = 0.
-2, -1, -2/3, 0, 1
Let z = 30 + -28. Determine q, given that q**2 - q**5 + q**2 + 3*q**4 - 5*q**2 + 3*q**3 - z*q**5 = 0.
-1, 0, 1
Let f(t) be the first derivative of -t**8/8400 + t**7/4200 + t**6/900 - 14*t**3/3 - 6. Let s(z) be the third derivative of f(z). Solve s(b) = 0.
-1, 0, 2
Let j(c) be the first derivative of -c**4/7 - 236*c**3/7 - 20886*c**2/7 - 821516*c/7 + 409. Factor j(n).
-4*(n + 59)**3/7
Let w = 2536 - 2534. Factor 3/7*p**w + 3/7*p**3 + 0 - 6/7*p.
3*p*(p - 1)*(p + 2)/7
Suppose 19*h - 30*h - 40 = -31*h. Factor 1 + 2/3*p + 1/9*p**h.
(p + 3)**2/9
Let y = -25/8 + 149/40. Factor -6/5*b + 0 + 3/5*b**3 + y*b**2.
3*b*(b - 1)*(b + 2)/5
Let v be (-7)/(-49)*(1 + 1). Let q(b) be the first derivative of 1/14*b**4 - 2/21*b**3 - 7 + v*b**5 + 1/7*b**6 + 0*b + 0*b**2. Determine o so that q(o) 