**3/21 + 2*p**2/7 - 89. Factor k(w).
2*w*(17*w + 2)/7
Suppose -213*z + 214*z - 2 = 0. Let v(g) be the second derivative of 1/80*g**5 + 0 + 1/60*g**6 - 1/4*g**z - 1/8*g**4 + 10*g - 7/24*g**3. Solve v(w) = 0 for w.
-1, -1/2, 2
Let f(p) = -p - 5. Let k be f(-7). Suppose k + 18 = 5*n. Factor -17*v**5 - 9*v**3 + 10*v**5 + 3*v**2 + 9*v**4 + n*v**5.
-3*v**2*(v - 1)**3
Suppose 0 = 35*u - 148 - 132. Solve 4*j - u - 1/2*j**2 = 0.
4
Let i(y) be the first derivative of -3*y + 15/4*y**4 + 3 - 5/3*y**3 + 0*y**2. Let h(r) be the first derivative of i(r). Let h(w) = 0. Calculate w.
0, 2/9
Factor -2*d**4 + 366 - 31*d - 11*d - 366 + 8*d - 38*d**3 - 70*d**2.
-2*d*(d + 1)**2*(d + 17)
Let c(k) = 511*k - 1517. Let w be c(3). Factor 26/3*o + 6*o**3 - w*o**2 - 4/3.
2*(o - 2)*(3*o - 1)**2/3
Let j(w) = -6*w**5 + 66*w**4 + 36*w**3 - 184*w**2 - 288*w. Let s(t) = t**5 - 13*t**4 - 7*t**3 + 37*t**2 + 57*t. Let h(f) = -3*j(f) - 16*s(f). Factor h(g).
2*g*(g - 2)*(g + 2)**2*(g + 3)
Let x = -9823/3066 + 107/73. Let j = x - -19/6. Factor -j*u**3 + 18/7*u + 0 + 2/7*u**4 + 6/7*u**2.
2*u*(u - 3)**2*(u + 1)/7
Let z(j) be the first derivative of 3*j + 16 - 9/4*j**4 - 3/2*j**2 - 5*j**3. Factor z(a).
-3*(a + 1)**2*(3*a - 1)
Factor -8/11*c + 8/11 + 4/11*c**3 + 2/11*c**4 - 6/11*c**2.
2*(c - 1)**2*(c + 2)**2/11
Let u = 11585 - 11582. Factor 6/7*w**u + 0*w**4 + 3/7*w - 8/7*w**2 - 1/7*w**5 + 0.
-w*(w - 1)**3*(w + 3)/7
Let s = 7712 - 7712. Factor s + 0*p - 2*p**2 + 1/4*p**3.
p**2*(p - 8)/4
Let s be (-8)/(-16) + 3/2. Suppose s = -u + 4. Factor 0 - u*b**2 + 8*b**3 - 8*b**4 + 0 + 2*b**4.
-2*b**2*(b - 1)*(3*b - 1)
Suppose -4*r = -r - 45. Let g be 2/(-12)*r/(-10). Let 0*z + 0 + 0*z**3 - 1/4*z**2 + g*z**4 = 0. Calculate z.
-1, 0, 1
Let b(n) = 10*n + 1. Suppose 5*a = 8*x - 4*x, 0 = -5*a. Let s be b(x). Factor -1/4*h + 5/4*h**2 - s.
(h - 1)*(5*h + 4)/4
Let c(k) = 2*k**5 - 16*k**4 + 6*k**3 - 2*k**2. Let q(b) be the second derivative of b**7/42 + b**5/20 - 29*b. Let g(i) = -2*c(i) - 10*q(i). Factor g(v).
-2*v**2*(v - 1)**2*(7*v - 2)
Factor 213/4*m**2 - 3/2*m + 0.
3*m*(71*m - 2)/4
Suppose -r + 5*r - r = 0. Suppose -d - 5*d + 2*d = r. What is t in d - 4/11*t + 2/11*t**2 = 0?
0, 2
Let m(f) be the first derivative of 10 + 49/12*f**4 - 26/3*f**2 - 8/3*f - 70/9*f**3. Find t such that m(t) = 0.
-2/7, 2
Let q(f) be the third derivative of f**6/30 - 2*f**5/15 + f**4/6 + 107*f**2. Factor q(r).
4*r*(r - 1)**2
Factor 4 - 5/3*t**2 - 28/3*t.
-(t + 6)*(5*t - 2)/3
Suppose -3*p - 2*o - 26 = -7*p, 0 = -p + 3*o + 19. Let u(d) = 5*d**2 + 2*d - 3. Let s(f) = -11*f**2 - 5*f + 7. Let j(v) = p*s(v) + 9*u(v). Factor j(z).
(z - 1)**2
Find u such that -51*u + 99*u - 42*u + 1 - 7*u**2 = 0.
-1/7, 1
Let g(t) be the second derivative of -5*t**4/12 - 175*t**3/3 - 6125*t**2/2 - 105*t. Suppose g(j) = 0. Calculate j.
-35
Let o(n) be the third derivative of -n**8/168 + n**7/35 + 103*n**2. Factor o(r).
-2*r**4*(r - 3)
Let y be (-111)/(-18) - (-2)/(-12). Let 3*x + 29 - 3*x**3 - 13 - y*x**2 - 10 = 0. Calculate x.
-2, -1, 1
Let x(c) be the second derivative of c**4/6 - 244*c**3/33 + 4*c**2 + 172*c. Find h, given that x(h) = 0.
2/11, 22
Suppose -29*p = -348 + 116. Let c(v) be the first derivative of p - 1/5*v - 3/20*v**4 + 1/15*v**3 + 3/10*v**2. Factor c(m).
-(m - 1)*(m + 1)*(3*m - 1)/5
Factor -400/7 + 1720/7*d + 18/7*d**3 + 356/7*d**2.
2*(d + 10)**2*(9*d - 2)/7
Let d(k) be the first derivative of -k**5/55 + 16*k**4/11 - 42*k**3 + 5292*k**2/11 - 9261*k/11 + 85. Solve d(u) = 0.
1, 21
Suppose -10*f - f - 220 = 0. Let l be 6 + (12/f - (-14)/(-10)). What is m in 64/3*m - 28/3*m**3 + 68/3*m**2 + 16/3 - 12*m**5 - 28*m**l = 0?
-1, -2/3, 1
Let b be (-4)/((-6)/(-3) + -4). What is c in -3 - c**4 + 7*c**3 - 13*c**2 + c**b - c**3 + 9*c + c = 0?
1, 3
Let l be 0*9/270*10*1. Factor l - 2/3*t - 1/3*t**2.
-t*(t + 2)/3
Let i(u) be the first derivative of -u**4/10 + 38*u**3/15 + 41*u**2/5 + 42*u/5 - 529. Factor i(p).
-2*(p - 21)*(p + 1)**2/5
Let z(g) = -9*g**2 + 2. Let w(o) = -19*o**2 + o + 5. Suppose -4*p - 5 = -25. Let n(c) = p*z(c) - 2*w(c). Factor n(i).
-i*(7*i + 2)
Let v be ((-4)/12)/(1/(-57)). Let o = -22 + v. Let r(u) = 9*u**2 + 10*u - 3. Let j(n) = -10*n**2 - 11*n + 3. Let l(h) = o*j(h) - 4*r(h). Factor l(p).
-(2*p + 3)*(3*p - 1)
Let w(l) = 2*l**3 + 4*l**2 - 5*l - 4. Let x = 16 + -19. Let v(s) = 6*s**3 + 12*s**2 - 14*s - 12. Let z(j) = x*v(j) + 8*w(j). Find m such that z(m) = 0.
-2, -1, 1
Let g = 15684 + -15681. Suppose 48*c + 128 + 1/4*c**g + 6*c**2 = 0. What is c?
-8
Suppose -3*h - 5*t - 9 = 0, 2*h + 3*h - 22 = 4*t. Suppose -h*v = 5*j - 6, -v + 1 = -j - 2. Suppose -657*a - v*a**2 + 4 + 657*a + a**3 = 0. What is a?
-1, 2
Let g(r) be the second derivative of 3*r + 1/20*r**4 + 3*r**3 + 135/2*r**2 - 6. Factor g(o).
3*(o + 15)**2/5
Let t be 2/41 - 40/(-5904). Let d(v) be the first derivative of -1/27*v**6 + 13 + 4/45*v**5 + 0*v + 0*v**2 - t*v**4 + 0*v**3. Factor d(s).
-2*s**3*(s - 1)**2/9
Let n(u) = -u**2 - 2*u - 3. Let j be n(-4). Let l(b) = -b**2 - 10*b + 13. Let f be l(j). Factor 9*h + h**5 + h**3 - 6*h - 2 - 5*h**3 + h**2 + h**f.
(h - 1)**3*(h + 1)*(h + 2)
Let g(h) be the third derivative of -h**6/450 + h**5/25 - h**4/6 - 25*h**3/6 - 14*h**2. Let x(a) be the first derivative of g(a). Factor x(p).
-4*(p - 5)*(p - 1)/5
Let -3648/11*a - 9238/11*a**3 - 3390/11*a**4 - 9026/11*a**2 - 50/11*a**5 - 520/11 = 0. Calculate a.
-65, -1, -2/5
Solve -90*c - 255 + 590 + 5*c**2 - 250 = 0.
1, 17
Suppose 128/3*f**2 + 230/3*f - 100 - 2/3*f**5 - 12*f**3 - 20/3*f**4 = 0. What is f?
-5, -3, 1, 2
Let x(u) = -u**2 + 11*u - 7. Let g(k) = -k**2 + 16*k - 5. Let y be g(15). Let c be x(y). Let 2*n - 18*n**3 + 21*n**c - 5*n = 0. Calculate n.
-1, 0, 1
Let n = -1/800 + 401/800. Factor 1/2*f**5 - 2*f**3 - n*f**4 + 0*f + 0 + 2*f**2.
f**2*(f - 2)*(f - 1)*(f + 2)/2
Let l(x) be the second derivative of x**6/360 + 7*x**5/120 + 49*x**4/96 + 10*x**3/3 - 6*x. Let i(r) be the second derivative of l(r). Solve i(g) = 0 for g.
-7/2
Let y(r) = 3*r**2 - 952*r - 46076. Let j(a) = 20*a**2 - 5710*a - 276455. Let l(u) = 4*j(u) - 25*y(u). What is x in l(x) = 0?
-96
Let n(h) = h**3 + 5*h**2 + 8*h + 6. Let s(i) = 2*i**3 + 10*i**2 + 16*i + 13. Let r(w) = -5*n(w) + 2*s(w). Factor r(b).
-(b + 1)*(b + 2)**2
Let a(y) be the second derivative of y**5/190 - 5*y**4/114 + 2*y**3/57 + 8*y**2/19 + 167*y. What is r in a(r) = 0?
-1, 2, 4
Let j(f) be the third derivative of -f**5/210 + 19*f**4/21 - 1444*f**3/21 - 10*f**2 - 6*f. Determine p, given that j(p) = 0.
38
Let j(i) be the second derivative of 9*i + 0 + 0*i**4 + 0*i**3 + 1/40*i**6 + 3/80*i**5 + 0*i**2. Suppose j(v) = 0. What is v?
-1, 0
Let p be 2 - 1 - (-7)/(966/(-132)). Let h = p + 67/46. Let -1/2*s**4 + 0 - h*s**5 + 3/2*s**3 + 0*s + 1/2*s**2 = 0. What is s?
-1, -1/3, 0, 1
Let a(i) = -i**3 + i**2 + i + 2. Let x be a(0). Suppose -4 = -2*o + x. Find r such that 3*r**5 - r**5 - 4*r**5 + 2*r**o - 5*r**4 + 5*r**5 = 0.
0, 2/3, 1
Let p(m) be the third derivative of m**7/630 + m**6/180 - m**5/15 + m**4/4 + 11*m**2. Let z(b) be the second derivative of p(b). Suppose z(w) = 0. What is w?
-2, 1
Suppose 0 = 4*u - 5*u. Let g(o) be the second derivative of 1/60*o**4 + 3*o - 3/10*o**2 - 1/15*o**3 + u. Factor g(p).
(p - 3)*(p + 1)/5
Suppose 0 = 4*f - 5*h + 4057, 4*f - 2021 = 6*f - h. Let s be 80/f - 2/(-9). What is u in s*u**2 + 1/7*u + 0 = 0?
-1, 0
Suppose -3 = x, -12 = -3*t + 2*x - 3*x. Let m(o) be the first derivative of -3*o**2 - 2 + 1/2*o**6 + t*o**3 + 0*o - 9/4*o**4 - 3/5*o**5. Factor m(d).
3*d*(d - 1)**3*(d + 2)
Let s(z) be the second derivative of -z**4/3 - 4*z**3 - 16*z**2 - 56*z - 2. Suppose s(h) = 0. Calculate h.
-4, -2
Let m be (-23)/(-2) + -2 + 3/6. Suppose c - 6*c = -m. Factor -2/3*v**c + 2/3 + 0*v.
-2*(v - 1)*(v + 1)/3
Let z(i) be the third derivative of -i**5/30 + i**4/12 + 2*i**3/3 + 74*i**2. Factor z(l).
-2*(l - 2)*(l + 1)
Suppose n + 10 = 13. What is f in -4*f**4 - 65*f**2 + 22*f**3 - 26*f**n + 4*f + 69*f**2 = 0?
-1, 0, 1
Let y(b) be the first derivative of -2*b**5/15 - 11*b**4/18 - 10*b**3/9 - b**2 - 4*b/9 + 690. Let y(p) = 0. What is p?
-1, -2/3
Let g(v) be the first derivative of -3*v**5/10 - 9*v**4/4 + 12*v**3 - 39*v**2/2 + 27*v/2 - 43. Factor g(f).
-3*(f - 1)**3*(f + 9)/2
Let a(l) be the third derivative of -l**7/735 - l**6/105 - l**5/42 - l**4/42