ate l.
-3, -1, 2/7, 5
Suppose -4*a + 10*m = 14*m - 8, 3*m - 6 = 0. Let d(x) be the first derivative of -4/33*x**3 - 9 + a*x - 1/22*x**4 - 1/11*x**2. Factor d(n).
-2*n*(n + 1)**2/11
Let k(s) = s**4 - 10*s**3 + s**2 + 30*s - 22. Let c(w) = -2*w**4 + 10*w**3 - 31*w + 23. Let b(t) = 2*c(t) + 3*k(t). Factor b(o).
-(o - 1)**2*(o + 2)*(o + 10)
Let u be (-1 + 3)*(-7)/(-7). Let l = 839/9 + -93. Factor l*z**u + 2/9*z - 4/9.
2*(z - 1)*(z + 2)/9
Let w be -1 + 44/36 - 5455/45. Let k = w + 128. Solve -15/2*h**4 - k*h**3 + 9/2*h**5 + 0 + 6*h**2 + 4*h = 0.
-2/3, 0, 1, 2
Let d(v) be the second derivative of v**7/420 + v**6/72 + v**5/40 - 13*v**3/6 + 5*v. Let m(n) be the second derivative of d(n). Solve m(r) = 0.
-3/2, -1, 0
Suppose 108*x = 105*x - 3*f + 24, 3*x - 34 = -5*f. Factor x*q + 3/4 - 15/4*q**2.
-3*(q - 1)*(5*q + 1)/4
Let g(a) = 9*a**3 + 399*a**2 - 252*a + 12. Let t(r) = -9*r**3 - 393*r**2 + 251*r - 10. Let i(n) = 5*g(n) + 6*t(n). Factor i(k).
-3*k*(k + 41)*(3*k - 2)
Let -7/3*u**4 + 6*u + 1/3*u**5 + 9*u**2 + 0 + 1/3*u**3 = 0. What is u?
-1, 0, 3, 6
Let y(j) = 2*j**2 + 2*j + 1. Let v(w) = 20*w**2 + 1136*w + 78408. Let l(q) = v(q) - 8*y(q). Factor l(f).
4*(f + 140)**2
Let v be 1/(15*(-4)/(-6) + -1). Let z(p) be the first derivative of 4/27*p**3 + 1 - v*p**2 - 4/45*p**5 + 1/27*p**6 + 0*p**4 + 0*p. Find q, given that z(q) = 0.
-1, 0, 1
Let r(a) be the third derivative of 2*a**3 + 0 + 1/3*a**5 + 0*a + 1/30*a**6 + 7/6*a**4 - 4*a**2. Factor r(v).
4*(v + 1)**2*(v + 3)
Let q(x) = -108*x**3 + 324*x**2 + 368*x - 88. Let f(j) = -72*j**3 + 217*j**2 + 245*j - 59. Let i(r) = 8*f(r) - 5*q(r). Suppose i(l) = 0. Calculate l.
-1, 2/9, 4
Let s(q) = -q - 5. Let h be s(-9). Let a(b) = -3*b**3 + 4*b**2 - 5*b. Let g(m) = -4*m**3 + 5*m**2 - 6*m. Let k(n) = h*g(n) - 5*a(n). Solve k(i) = 0 for i.
-1, 0, 1
Let u(d) be the second derivative of d**4/30 - 13*d**3/3 - 66*d**2/5 + 80*d. Let u(f) = 0. Calculate f.
-1, 66
Suppose 0 = -0*x + 3*x. Let b be -2 + x - 972/(-459). Factor 0 + 0*k + 2/17*k**3 + b*k**2 - 2/17*k**5 - 2/17*k**4.
-2*k**2*(k - 1)*(k + 1)**2/17
Let p(v) be the first derivative of -v**5 + 5*v**4 - 5*v**3 + 220. What is a in p(a) = 0?
0, 1, 3
Let v be (1/(-36))/((-2)/100)*(-125 - -129). Factor 2/9*q**4 + v + 4/3*q**2 + 16/9*q**3 - 80/9*q.
2*(q - 1)**2*(q + 5)**2/9
Let u(n) be the first derivative of n**6/5 - n**5/2 + n**4/3 + 12*n + 13. Let t(b) be the first derivative of u(b). Factor t(w).
2*w**2*(w - 1)*(3*w - 2)
Let u(z) = 7*z**2 + z + 2*z**2 - 44 + 3*z**3 + 39. Let j(s) = -2*s**3 - 8*s**2 - 2*s + 4. Let a(c) = 5*j(c) + 4*u(c). Let a(m) = 0. Calculate m.
-1, 0, 3
Let n(f) = -8*f**2 - 46*f - 18. Let r be n(-5). Let a(x) be the first derivative of -18*x**2 - 8*x - r - 16/3*x**3. Let a(o) = 0. What is o?
-2, -1/4
Let f(x) be the second derivative of -x**5/80 + 31*x**4/48 - 59*x**3/24 + 29*x**2/8 - x - 54. What is q in f(q) = 0?
1, 29
Let w(r) be the second derivative of r**4/36 - 7*r**3/18 + 2*r**2 + 2*r - 50. Suppose w(g) = 0. Calculate g.
3, 4
Let v(x) = -90*x**2 - 105*x + 129. Let s(b) = 18*b**2 + 21*b - 26. Let l(d) = 21*s(d) + 4*v(d). Determine w, given that l(w) = 0.
-2, 5/6
Let w(p) be the first derivative of p**6/10 + p**5/20 - p**4/4 - p**3/6 + 25*p - 16. Let i(r) be the first derivative of w(r). Determine z so that i(z) = 0.
-1, -1/3, 0, 1
Suppose 3*p = t + t + 10, 5*t = p - 25. Suppose 5 + p = v. Find w, given that 4*w**2 + 5 - 4*w - w + 1 - v = 0.
1/4, 1
Let o be 4/(3 - 4)*(-3)/4. Let d be (-279)/(-189) - o/9. Factor -d + 6/7*q**2 + 2/7*q**3 + 0*q.
2*(q - 1)*(q + 2)**2/7
Suppose -4 = -0*g - 2*g. Let l be (0 - (3 + -4))*g. Let 3*p**2 - p**l - 3*p**4 + p**2 = 0. What is p?
-1, 0, 1
Solve 276/7*s**2 + 194672/7 + 2/7*s**3 + 12696/7*s = 0 for s.
-46
Let l(u) be the third derivative of 0 + 0*u + 2/15*u**3 - 1/12*u**4 - 13*u**2 - 7/150*u**5. Factor l(f).
-2*(f + 1)*(7*f - 2)/5
Let y be (2 + 1/(-2))*(0 + 32). Let d be y/780*5/2. Find m such that d*m**2 - 2/13 + 0*m = 0.
-1, 1
What is w in -6/5*w**3 + 6 + 6/5*w - 6*w**2 = 0?
-5, -1, 1
Let c(y) = 3*y**5 - 30*y**4 - 123*y**3 - 90*y**2 - 15*y + 15. Let t(b) = 2*b**4 + 2*b**3 + b - 1. Let a(g) = c(g) + 15*t(g). Factor a(h).
3*h**2*(h - 6)*(h + 1)*(h + 5)
Let k be (-35 + 29)*7/(-21). Determine p, given that 0*p**k - 4/3*p**3 + 8/3*p**4 + 0*p - 4/3*p**5 + 0 = 0.
0, 1
Suppose 4*v - 70 = 6*v. Let a = 141/4 + v. Factor -a*p + 1/4*p**2 + 1/4*p**3 - 1/4.
(p - 1)*(p + 1)**2/4
Let o(m) = -11*m**2 + 11*m. Let s be o(1). Let -2/7*c**4 + 0 + 2/7*c**2 + s*c + 0*c**3 = 0. What is c?
-1, 0, 1
Let w be (-4)/(39/26 + (-18)/4). Determine y so that 0 + 2/3*y**3 + 0*y + w*y**2 = 0.
-2, 0
Suppose 3*b - 4*b = -5. What is c in 7*c**3 - c - b*c**5 - 3*c**4 - c - 2*c**2 + 5*c**2 = 0?
-1, 0, 2/5, 1
Let n be (-6)/7*1 + (-552)/(-644). Suppose n + 3*y**3 - 3/2*y**4 + 0*y - 3/2*y**2 = 0. What is y?
0, 1
Let j = -3 - 1. Let n be (-28)/(-8)*j/(-7). Suppose 1/6*s + 0 + s**3 - 2/3*s**n - 2/3*s**4 + 1/6*s**5 = 0. Calculate s.
0, 1
Let l(f) be the first derivative of -1/10*f**5 + 1/8*f**4 - 1/40*f**6 + 7 + 7/2*f**2 + f**3 + 0*f. Let g(z) be the second derivative of l(z). Factor g(y).
-3*(y - 1)*(y + 1)*(y + 2)
Suppose -2*b + s = 3*b - 579, -5*s = 2*b - 210. Factor -15*m**2 + 3*m**2 - 47 - 23*m**2 + b*m + 17.
-5*(m - 3)*(7*m - 2)
Let n be (5 - 1)*(-7)/(-14). Suppose -4*f + 2*h = 0, -h = -0*h - 4. Suppose 3*m**3 + m**2 - n*m**f - 5*m**2 + m + 6 - 4*m = 0. Calculate m.
-1, 1, 2
Let y = 79 + -73. Suppose -3*m - 2*s + 25 = -y*s, 5*m - 31 = 4*s. Solve f**2 + 1/3*f**m + f + 1/3 = 0 for f.
-1
Let l be 524/76 + (-20)/(-190). Let m(a) be the first derivative of -3/28*a**4 - 3/7*a**3 + 3/35*a**5 - l + 6/7*a + 3/14*a**2. Find n, given that m(n) = 0.
-1, 1, 2
Let k(m) be the third derivative of m**7/168 - 97*m**6/480 + 533*m**5/240 - 201*m**4/32 + 27*m**3/4 - 163*m**2. Let k(v) = 0. What is v?
2/5, 1, 9
Let z = 2/13 - 4/195. Let n(r) be the second derivative of 0 + 0*r**3 + z*r**6 - r**4 + 0*r**2 - 2/5*r**5 + r. Let n(p) = 0. What is p?
-1, 0, 3
Let f be (5 - (-43)/(-8))/(6/(-20)). Let k(s) be the first derivative of -f*s**4 - 5/4*s**2 + 1/2*s**5 - 3 - 1/12*s**6 + 5/3*s**3 + 1/2*s. Factor k(n).
-(n - 1)**5/2
Let r(u) be the third derivative of -u**5/10 + 35*u**4/18 + 16*u**3/9 - 5*u**2 + 5*u. Solve r(t) = 0 for t.
-2/9, 8
Let p(n) = n**3 - 26*n**2 + 98*n - 1823. Let b be p(25). Let 14/11*i + 2/11*i**b + 20/11 = 0. What is i?
-5, -2
Suppose 5*y + 2*k + 2 = 55, 3*k = -4*y + 41. Suppose -3*m = -13 - y. Factor -o - 8 + m*o + o - 2*o**2.
-2*(o - 2)**2
Let n(s) be the first derivative of 3*s**4/20 - 26*s**3/5 + 507*s**2/10 + 349. Determine z, given that n(z) = 0.
0, 13
Let x = -414/107 - -36417/535. Let l = x - 64. Factor -3/5*k - l*k**2 + 0.
-k*(k + 3)/5
Let z(r) = r**4 + r**3 + r + 1. Let d(n) = 7*n**4 - 3*n**3 + 12*n**2 - 3*n + 7. Let a(p) = -4*p + 7. Let c be a(3). Let q(y) = c*z(y) + d(y). Factor q(k).
2*(k - 1)**4
Factor -5/3*z - 3/2*z**2 + 1/6*z**3 + 0.
z*(z - 10)*(z + 1)/6
Let z(w) be the third derivative of -w**6/24 - 7*w**5/6 - 125*w**4/24 - 10*w**3 - 38*w**2. Factor z(v).
-5*(v + 1)**2*(v + 12)
Let o(w) be the third derivative of w**8/1848 - 4*w**7/385 + w**6/66 + 2*w**5/55 - w**4/12 - 9*w**2 + 18*w. Suppose o(g) = 0. Calculate g.
-1, 0, 1, 11
Let t(b) = 6*b**2 + 2*b + 5. Let g(p) be the first derivative of p**3/3 + p + 52. Let y be (-1)/2 - 14/(-4). Let o(a) = y*t(a) - 15*g(a). Solve o(m) = 0.
-2, 0
Let p(y) be the third derivative of 0 - 1/105*y**7 + 2/15*y**5 + 0*y**3 - 1/120*y**6 + 0*y - 3*y**2 + 1/6*y**4. Solve p(z) = 0 for z.
-2, -1/2, 0, 2
Let v(g) be the second derivative of -8*g**6/15 - 31*g**5 - 519*g**4 - 2090*g**3/3 + 722*g**2 - 807*g. Solve v(o) = 0 for o.
-19, -1, 1/4
Let k(r) be the third derivative of 7*r**6/24 - 5*r**5/2 + 145*r**4/24 - 5*r**3 - 528*r**2. Suppose k(c) = 0. Calculate c.
2/7, 1, 3
Let x(q) = 20*q**4 - 46*q**3 + 220*q**2 - 178*q. Let g(a) = 7*a**4 - 15*a**3 + 74*a**2 - 59*a. Let n(i) = 14*g(i) - 5*x(i). Factor n(w).
-2*w*(w - 4)**2*(w - 2)
Let w(m) = -2*m + 22. Let s be w(11). Suppose -9*l + 4*l + 15 = s. Solve -28*h**5 - 19*h**2 - 17*h**2 + 8*h + 21*h**l - h**3 + 36*h**4 = 0.
-1, 0, 2/7, 1
Let z(g) = -102*g**3 + 319*g**2 - 240*g - 2. Let r(y) = -49*y**3 + 160*y**2 - 119*y - 2. Let d(i) = 10*r(i) - 4*z(i). Factor d(m).
-2*(m - 