se 15 = 5*g - 2*w, -7*w = -11*w. Let r(n) be the third derivative of 3*n**2 + 0 - 2/3*n**g - 1/30*n**5 - 1/4*n**4 + 0*n. Factor r(x).
-2*(x + 1)*(x + 2)
Let m(h) be the second derivative of 2*h**6/35 + 3*h**5/140 - h**4/7 - h**3/14 + 15*h + 3. Solve m(c) = 0 for c.
-1, -1/4, 0, 1
Let f(y) be the first derivative of -y**3 + 3*y**2/2 + 6*y + 24. Factor f(i).
-3*(i - 2)*(i + 1)
Suppose 3*d**2 - 165*d + 206*d + 15 + 30 - 101*d + 12 = 0. Calculate d.
1, 19
Let q = -6/469 + 20/67. Solve q*k - 2/7*k**2 + 4/7 = 0 for k.
-1, 2
Let h be (-12 - -6) + (-4 - -16). Let m(w) be the first derivative of -1/7*w**4 - 4/35*w**5 + 7 + 0*w + 2/21*w**h + 4/21*w**3 + 0*w**2. Factor m(s).
4*s**2*(s - 1)**2*(s + 1)/7
Let z(g) = 47*g**3 + 510*g**2 - 435*g + 94. Let v(y) = 283*y**3 + 3060*y**2 - 2609*y + 562. Let r(f) = -6*v(f) + 34*z(f). Suppose r(o) = 0. Calculate o.
-11, 2/5
Find z, given that -4/3*z**2 - 1/3*z**3 + 7/3*z + 10/3 = 0.
-5, -1, 2
Let z(w) = w**3 + w**2 + w. Let g(t) = -3*t**3 + 4*t**2 + 3*t + 17. Let k(d) = g(d) + 2*z(d). Let y be k(7). Factor m + y*m**2 - 4*m**2 + 3*m**2 - 3*m.
2*m*(m - 1)
Let k(w) = w**2 + 1. Let a(h) = -h + 4 - h + 3*h**2 - 5 - 4*h**2. Let g(s) = -3*a(s) - 6*k(s). Factor g(r).
-3*(r - 1)**2
Let f(p) = -4*p**2 - 15*p - 78. Suppose 107*q + 3 = 106*q. Let g(j) = 5*j**2 + 14*j + 77. Let t(k) = q*g(k) - 4*f(k). Suppose t(s) = 0. Calculate s.
-9
Let q(u) = -5*u**3 - 6*u**2 + 3*u - 8. Let h(j) = 3*j**3 + 4*j**2 - 2*j + 5. Let b = -28 + 36. Let o(r) = b*h(r) + 5*q(r). Suppose o(a) = 0. What is a?
0, 1
Factor 145 - 145 + 26*x**4 - 17*x**4 - 4*x + 11*x**3 + 2*x**5.
x*(x + 1)*(x + 2)**2*(2*x - 1)
Let q(b) = -b**3 + 11*b**2 - 8*b - 13. Let m be q(10). Suppose 0 = -c + 2*n - 1 - m, 2*c + 21 = 5*n. Solve 0*k**2 - 3*k**2 - 2*k**2 + 6*k**3 + 2*k**c - 3*k = 0.
-1/2, 0, 1
Let d(g) be the second derivative of 0 - 23*g + 2*g**2 + 5/12*g**4 - 1/20*g**5 - 4/3*g**3. Determine b, given that d(b) = 0.
1, 2
Let o(w) be the third derivative of -w**7/2100 - w**6/900 + w**5/150 + 7*w**3/6 - 4*w**2. Let i(v) be the first derivative of o(v). Let i(a) = 0. Calculate a.
-2, 0, 1
Suppose -4*j + 11 = 3. Factor 2*h + 4*h**4 - 8*h**3 - 4*h**2 + 2 - j + 6*h.
4*h*(h - 2)*(h - 1)*(h + 1)
Let m be (18/105)/((-2)/(-10)). Let q = 91 - 87. Factor -2/7*s**2 - m*s**3 - 2/7*s**5 - 6/7*s**q + 0*s + 0.
-2*s**2*(s + 1)**3/7
Suppose 4*c = -2*z - 12, -5*z + c + 0 = -25. What is k in 134*k**2 + 2*k**4 - 10*k**4 + z*k**5 - 126*k**2 - 4*k = 0?
-1, 0, 1
Suppose 0 = 8*i - i - 98. Let j be (5/(-4))/((-35)/i). Factor 2*b + j*b**2 + 2.
(b + 2)**2/2
Let y = -31 + 43. Let q = y + -8. Solve -q*l**3 + 4 + 0*l**3 + 18*l - 4*l**2 - 14*l = 0 for l.
-1, 1
Let o = 31 + -28. Suppose -o*g = -5*d + g + 32, -2 = -2*d - 2*g. Factor -10*h**2 + 14*h**2 - h**d - 3*h**4.
-4*h**2*(h - 1)*(h + 1)
Let i(c) be the second derivative of c**5/50 - c**4/5 + 3*c**3/5 + 27*c + 3. Find b, given that i(b) = 0.
0, 3
Let 3/2*d**3 + 30 + 39/2*d**2 + 48*d = 0. Calculate d.
-10, -2, -1
Let l be ((-14)/56)/((-12)/96). Factor 7/9*y**l + 0 - 1/3*y**3 - 2/9*y.
-y*(y - 2)*(3*y - 1)/9
Let w(x) be the first derivative of 2*x**3/3 - 2*x**2 - 16*x - 88. Let w(h) = 0. Calculate h.
-2, 4
Let d = -18 + 24. Let n be 14/d + (-1)/3 + 0. Factor 2/11*j - 4/11 + 2/11*j**n.
2*(j - 1)*(j + 2)/11
Let h be 28/15 - 6*(-11)/1650*-5. Factor -h*c**2 + 0 + c**3 + 2/3*c.
c*(c - 1)*(3*c - 2)/3
Let -4/7 + 6/7*v**2 + 2/7*v = 0. Calculate v.
-1, 2/3
Let y be 3*(2 + (-48)/(-18)). Suppose y = -8*m + 15*m. Determine o so that 2*o + 10/7*o**3 - 2/7*o**4 - 18/7*o**m - 4/7 = 0.
1, 2
Let p(w) = -236*w**2 + 1655*w - 19. Let c be p(7). Factor -578/9*f**3 + 442/9*f**c + 128/9*f + 8/9.
-2*(f - 1)*(17*f + 2)**2/9
Factor -21/4*x**2 + 1/4*x**3 + 0 + 5*x.
x*(x - 20)*(x - 1)/4
Let d = -2793/2 - -1397. Let z(b) be the second derivative of 9/8*b**2 + 0 - d*b**3 - 4*b + 1/16*b**4. Determine q so that z(q) = 0.
1, 3
Suppose 160*d = 80*d. Factor 1/4 - 1/4*p**2 + d*p.
-(p - 1)*(p + 1)/4
Let d(j) be the second derivative of j**4/60 - 2*j**3/15 - 6*j**2/5 + j + 35. Factor d(t).
(t - 6)*(t + 2)/5
Suppose 439*u = 444*u - 3 - 12. Determine v so that -3*v + 5*v**2 + 1/3 - 7/3*v**u = 0.
1/7, 1
Let z(c) = 7*c**5 - 8*c**4 - 4*c**2 - 7*c. Let j(t) = 13*t**5 - 15*t**4 - 7*t**2 - 13*t. Let p = 0 + 6. Let y(r) = p*j(r) - 11*z(r). Factor y(m).
m*(m - 1)**3*(m + 1)
Suppose 4*q - 187 - 113 = 0. Let h = q - 224/3. What is s in -1/3 - 1/3*s**3 + 1/3*s**2 + h*s = 0?
-1, 1
Let -20/7*g + 4/7*g**2 - 24/7 = 0. What is g?
-1, 6
Let v(i) be the first derivative of 1/9*i**3 - 8 + 1/3*i - 1/3*i**2. Suppose v(f) = 0. What is f?
1
Suppose -2*m - 2*i = -2, 960*m = 962*m - 5*i - 9. Factor 0*n**2 + 7/3*n - 1/3*n**3 + m.
-(n - 3)*(n + 1)*(n + 2)/3
Let y(q) = -8*q**3 - 14*q**2 + 8*q + 29. Let b(p) = -15*p**3 - 30*p**2 + 15*p + 57. Let m(f) = -5*b(f) + 9*y(f). Factor m(z).
3*(z - 1)*(z + 1)*(z + 8)
Let z = -127 - -130. Find f, given that -4*f + 4*f**z - 2*f**4 + 25 - 16 - 7 = 0.
-1, 1
Let z(m) be the second derivative of -m**7/2520 + m**6/240 - m**5/60 - 2*m**4/3 - 18*m. Let x(i) be the third derivative of z(i). Factor x(g).
-(g - 2)*(g - 1)
Let q(r) = 17*r - 22. Let w be q(2). Suppose -6 + w = 3*o. Factor 0 + 3/7*i**3 + 9/7*i**o + 0*i.
3*i**2*(i + 3)/7
Suppose 0 = -8*w + 3*w + 10. Factor -q**2 - 6*q**2 + 8*q**w + 0*q**2.
q**2
Let q(m) be the third derivative of -m**7/280 - m**6/30 - 3*m**5/40 + 7*m**3/6 + 12*m**2. Let w(d) be the first derivative of q(d). Factor w(x).
-3*x*(x + 1)*(x + 3)
Factor 0*l - 2/19*l**3 + 0 - 78/19*l**2.
-2*l**2*(l + 39)/19
Let y be (-6 + 3)/(9/294). Let t be (12/15)/(y/(-35)). Factor -t*u + 0 - 2/7*u**2.
-2*u*(u + 1)/7
Factor -29 - 2*i**2 - 1 - 5 + 7*i**2 - 30*i.
5*(i - 7)*(i + 1)
Suppose -3*x + 4*l = -20, -4*x = -x - 3*l - 18. Suppose -3*q + x*q + 4*m - 2 = 0, -2*m = -4*q + 8. Factor -1/4*c**q - 3/4 + c.
-(c - 3)*(c - 1)/4
Let b(i) = -29*i**2 - 144*i - 46. Let d(x) = -320*x**2 - 378 - 127 - 1800*x + 215*x. Let h(t) = 65*b(t) - 6*d(t). Factor h(v).
5*(v + 4)*(7*v + 2)
Let d be 1*2/(-4) - -2. Suppose 294*n - 290*n - 8 = 0. Find q such that -1/2*q**2 + n*q - d = 0.
1, 3
Let b(p) be the second derivative of 96*p**2 + 7*p - 3/20*p**5 - 24*p**3 + 3*p**4 + 0. Factor b(w).
-3*(w - 4)**3
Suppose -g - 48 = -43. Let i(n) = -10*n**2 + 15*n + 5. Let x(p) = -p**2 + p + 1. Let o(z) = g*x(z) + i(z). What is d in o(d) = 0?
0, 2
Factor -216/13*v**4 - 2/13*v**5 + 0*v - 93312/13*v**2 - 7776/13*v**3 + 0.
-2*v**2*(v + 36)**3/13
Let d(x) be the third derivative of -x**6/120 + x**5/12 - x**4/12 - x**3 + x**2. Let g be d(4). Factor -5*l**3 - l**2 - 5*l**2 - g*l**2 + l**3.
-4*l**2*(l + 2)
Let w(u) be the third derivative of -5*u**8/336 - 5*u**7/42 + u**6/24 + 5*u**5/12 - 651*u**2. Let w(k) = 0. What is k?
-5, -1, 0, 1
Let o be 588/(-1470) - 9/(-15). Factor 1/5*d + 1/5*d**4 - o*d**2 - 1/5*d**3 + 0.
d*(d - 1)**2*(d + 1)/5
Let f(j) be the third derivative of -j**6/600 - 3*j**5/100 - 9*j**4/40 + 11*j**3/6 + 12*j**2. Let a(h) be the first derivative of f(h). Factor a(g).
-3*(g + 3)**2/5
Suppose 3 = 5*b + 3*s - 12, 3 = b + s. Suppose 26*o + 2 + 24*o**2 + 26*o**3 + 16*o**2 + 2 - 8*o**b = 0. What is o?
-1, -2/9
Let v(z) be the first derivative of -z**5/25 + z**4/10 - z**2/5 + z/5 + 16. Find r, given that v(r) = 0.
-1, 1
Find a such that 1/6*a**5 + 3950/3*a - 2179/3*a**2 - 2500/3 - 28/3*a**4 + 937/6*a**3 = 0.
2, 25
Let s(z) be the third derivative of z**10/201600 - z**9/40320 + z**8/26880 + z**5/60 + 7*z**2. Let n(a) be the third derivative of s(a). Factor n(k).
3*k**2*(k - 1)**2/4
Suppose -10*f**5 - 126 + 146 + 270*f + 30 + 85 - 100*f**3 - 65*f**4 + 90*f**2 = 0. What is f?
-3, -1, 3/2
Let d = 8 - 0. Let q = d - 7. Let p(j) = 4*j**4 + 6*j**2 + 2*j. Let w(a) = a**4 + a**3 + a**2 + a. Let g(r) = q*p(r) - 3*w(r). Suppose g(h) = 0. Calculate h.
0, 1
Let c = 266 - 264. Let k(x) be the first derivative of 0*x + 1/10*x**4 + 0*x**c + 4 + 0*x**3 - 1/25*x**5. Factor k(a).
-a**3*(a - 2)/5
Let a = -5 + 7. Suppose 3*u - 7 = a. Factor -2*x**4 - x**5 + u*x**4 + 0*x**4.
-x**4*(x - 1)
Let p(c) be the first derivative of -c**4 + 0*c + 14/3*c**3 - 3*c**2 + 11. Factor p(n).
-2*n*(n - 3)*(2*n - 1)
Suppose -y = -2 + 6. Let u be (-1)/(-1 - y/8). Factor 4*i**3 - i**4 + i**4 + i**4 + i**4 + 2*i**u.
2*i**2*(i + 1)**2
Let c(p) = p**3 + 10*p**2