+ 2. Let p be j(3). Let r be ((-20)/100)/(-1 + p - -1). Factor -r*s + 1/5*s**2 - 1/5*s**4 + 0 + 1/5*s**3.
-s*(s - 1)**2*(s + 1)/5
Let f = 1/37600 - -46999/37600. Factor 1/4*i**2 - f + i.
(i - 1)*(i + 5)/4
Let l(s) be the first derivative of -2*s**6/3 + 32*s**5/5 - 13*s**4 + 8*s**3 - 7. Solve l(v) = 0 for v.
0, 1, 6
Let l = 131 + -139. Let o(h) = -h**3 - 13*h**2 - 41*h - 4. Let b be o(l). Factor 18/7*x**3 + 0 - 10/7*x**b - 2*x**2 + 4/7*x + 2/7*x**5.
2*x*(x - 2)*(x - 1)**3/7
Let x(z) be the first derivative of -1/20*z**5 + 0*z + 1/6*z**4 + 2/3*z**3 + 0*z**2 + 1/180*z**6 + 4. Let g(i) be the third derivative of x(i). Factor g(v).
2*(v - 2)*(v - 1)
Let f(j) be the first derivative of 2*j**3 - 6*j**2 + 8*j - 5 - 1/4*j**4. Factor f(u).
-(u - 2)**3
Let m(b) be the second derivative of -7*b**6/25 + 3*b**5/4 + 29*b**4/20 - b**3 - b. Solve m(z) = 0 for z.
-1, 0, 2/7, 5/2
What is w in 0 - 228/7*w + 146/7*w**2 + 2/7*w**4 + 80/7*w**3 = 0?
-38, -3, 0, 1
Let -1/2*v**3 + 7/2*v**5 + 27/4*v**4 + 1/4 - 3*v - 7*v**2 = 0. Calculate v.
-1, 1/14, 1
Let x(h) be the third derivative of -3/52*h**4 + 2/39*h**3 + 2/195*h**5 + 0 + 0*h + 20*h**2. Solve x(u) = 0.
1/4, 2
Let p(b) be the second derivative of b**7/231 + b**6/55 + b**5/55 - 69*b. Factor p(q).
2*q**3*(q + 1)*(q + 2)/11
Let l(c) be the first derivative of 5*c**6/18 - 8*c**5/3 + 20*c**4/3 - 702. Factor l(j).
5*j**3*(j - 4)**2/3
Let q be (-22)/(-10) - (-3)/(-15). Let y(f) = -3*f - 39. Let c be y(-14). Determine r, given that -4*r**2 + 9*r - c*r + q*r + 8*r - 16 = 0.
2
Let t = 1470/7163 - -2/377. Factor 0 + 2/19*z**3 + t*z**2 + 0*z.
2*z**2*(z + 2)/19
Let h = 22 - 28. Let s(q) = -2*q + 12. Let z be s(h). Factor -36*d**3 + 20 + 58*d + z*d**2 + 12 + 22*d.
-4*(d - 2)*(3*d + 2)**2
Let j be 3/20 - (-72)/288. Let l(r) be the first derivative of 2*r + r**2 + 1/3*r**6 - 4/3*r**3 - 2 - r**4 + j*r**5. Factor l(u).
2*(u - 1)**2*(u + 1)**3
Let o(g) be the second derivative of g**6/48 - g**5/8 + 5*g**3/3 - 7*g**2/2 + 15*g. Let v(r) be the first derivative of o(r). Determine a, given that v(a) = 0.
-1, 2
Factor -2/19*r**3 + 0 - 2/19*r**2 + 0*r.
-2*r**2*(r + 1)/19
What is u in -54*u**4 - 64*u**3 - 311*u**3 - 864*u**2 - 2*u**5 - 57*u**3 = 0?
-12, -3, 0
Let m(s) be the first derivative of -s**5/5 + 3*s**4/2 + s**3 - 8*s**2 - 12*s - 164. Factor m(d).
-(d - 6)*(d - 2)*(d + 1)**2
Let s(t) be the third derivative of t**6/30 - t**5/3 - 4*t**4/3 + 32*t**3 + 20*t**2. Factor s(j).
4*(j - 4)**2*(j + 3)
Factor 1 + 16/3*a**2 + 19/3*a.
(a + 1)*(16*a + 3)/3
Let s be 702/102 + 95/85 + -1. Let g(x) be the first derivative of -1/12*x**3 + 0*x + 0*x**2 - 1/20*x**5 - s + 1/8*x**4. Determine u, given that g(u) = 0.
0, 1
Suppose 4*p - 7*p = -2076. Factor 0*u**2 - 697 + 10*u + p - 5*u**2.
-5*(u - 1)**2
Suppose 2*k = 4*l + 422, 5*k - 277 = -2*l + 790. Let t = 1499/7 - k. Factor t*q**2 - 8/7 + 4/7*q - 4/7*q**3.
-4*(q - 2)*(q - 1)*(q + 1)/7
Let m(q) = 136*q**3 + 380*q**2 - 156*q + 8. Let z(s) = 410*s**3 + 1141*s**2 - 464*s + 25. Let w(u) = 11*m(u) - 4*z(u). Factor w(x).
-4*(x + 3)*(6*x - 1)**2
Let t = -685 + 6167/9. Factor t*d + 4/3*d**3 + 8/9*d**2 + 2/9*d**5 + 8/9*d**4 + 0.
2*d*(d + 1)**4/9
Factor -3/5*t**3 + 24/5 - 24/5*t**2 + 3/5*t.
-3*(t - 1)*(t + 1)*(t + 8)/5
Factor 22*j**3 + 123*j + 170 + 160*j**2 + 182*j + 26*j**3 - 23*j**3.
5*(j + 1)*(j + 2)*(5*j + 17)
Let p(d) = -104*d**4 + 76*d**3 - 12*d**2 - 4. Let j(v) = -8*v**2 - 105*v**4 + 75*v**3 - 4 - v**2 - 2*v**2 - 1. Let l(g) = 4*j(g) - 5*p(g). Factor l(f).
4*f**2*(5*f - 2)**2
Let q(p) be the second derivative of 0 + 2/39*p**3 - 1/78*p**4 + 0*p**2 + p. Solve q(t) = 0 for t.
0, 2
Let v(k) be the second derivative of k**4/4 + 121*k**3/8 + 45*k**2/4 - 23*k + 3. Suppose v(p) = 0. Calculate p.
-30, -1/4
Let g(q) = -q + 7. Let d be g(-3). Let 28*l**5 - 5*l**2 + 33*l**3 - 19*l**5 + 2*l - 29*l**4 - d*l**2 = 0. Calculate l.
0, 2/9, 1
Let z(q) = q**2 + q - 4. Let f be z(-3). Let s(y) = y**2 - 13*y + 24. Let l be s(11). Factor -4*x**f + 10*x**4 + 0 - 4*x**4 - 5 + 6*x - l*x**5 + 3 - 4*x**3.
-2*(x - 1)**4*(x + 1)
Solve -80*q**2 + 35*q**3 + 60*q + 25*q**2 - 40*q**3 = 0.
-12, 0, 1
Suppose -y - 5*w - 3 = 0, 3*y + 2*w + 8 = 6*y. Let j(b) be the second derivative of 0*b**y + 0 + 0*b**3 + 1/66*b**4 + 4*b. Factor j(t).
2*t**2/11
Let h(q) = -q**3 + 6*q**2 + 3. Let k be h(6). Let n(u) = u**2 - 26*u - 728. Let m be n(43). Determine s, given that 9/2*s + 0*s**2 - m - 3/2*s**k = 0.
-2, 1
Let w(z) = z**2 - z. Let c(t) = t**2 - 37*t + 78. Let v(m) = -c(m) + 4*w(m). Suppose v(r) = 0. What is r?
-13, 2
Let l(i) = -i**3 + i**2 - i - 1. Let a = 51 + -38. Let h(s) = -s**3 + 11 + 2*s**2 - a + s**2 - 2*s. Let y(g) = -h(g) + 2*l(g). Factor y(r).
-r**2*(r + 1)
Suppose -15/4*g + 0 - 1/4*g**4 - 1/4*g**3 + 17/4*g**2 = 0. Calculate g.
-5, 0, 1, 3
Let f(t) be the second derivative of -1/10*t**5 + 4/3*t**3 + 0 + 0*t**2 + 1/90*t**6 - 2*t + 1/3*t**4. Let g(w) be the second derivative of f(w). Factor g(j).
4*(j - 2)*(j - 1)
Suppose -3*s = 3*d + 201, 0 = -4*s - 5*d - 110 - 157. Let w(q) = -2*q**2 - 13*q + 21. Let p(a) = 22*a**2 + 142*a - 232. Let l(i) = s*w(i) - 6*p(i). Factor l(y).
4*(y - 1)*(y + 9)
Let r be 3 + 3 + -2 - 112. Let v = -106 - r. What is k in 3*k - 1/2*k**v - 9/2 = 0?
3
Let v(s) be the first derivative of s**6/39 - 246*s**5/65 + 3963*s**4/26 - 22322*s**3/39 + 840*s**2 - 7200*s/13 - 557. Find b such that v(b) = 0.
1, 60
Factor 69/2*q + 183/2*q**3 - 30*q**4 - 3/2 - 189/2*q**2.
-3*(q - 1)**3*(20*q - 1)/2
Determine q, given that 2/9*q**3 - 8/9*q**2 + 0 + 2/3*q = 0.
0, 1, 3
Let o(a) = -5*a - 1. Let s be o(-7). Suppose -28*l + 23*l + 170 = 0. Let -2 - 34*m**3 - 29*m**4 - 2*m**5 - 3*m**4 + 2*m + l*m**5 + s*m**2 = 0. Calculate m.
-1, -1/4, 1/4, 1
Suppose -g + 2*s = -8, -4*g + 3*s = 8*s + 20. Suppose g*j = -j + 3*j. Suppose 2/3*u**2 + 0*u + 2/3*u**4 - 4/3*u**3 + j = 0. What is u?
0, 1
Let q(b) be the second derivative of 0*b**2 - 1/2*b**6 - 1/4*b**5 + 0 + 5/6*b**4 + 0*b**3 - 31*b. Factor q(j).
-5*j**2*(j + 1)*(3*j - 2)
Let a be (432/30)/12 + 0/(-4) + 0. Factor -4/5*h**3 - a*h**4 + 4/5*h**2 + 2/5 + 6/5*h - 2/5*h**5.
-2*(h - 1)*(h + 1)**4/5
Solve -28/5*z**2 - 6/5*z**3 - 26/5*z + 12/5 = 0 for z.
-3, -2, 1/3
Let h(p) = 9*p**3 + 15*p**2 - 28*p - 56. Let m(z) = 8*z**3 + 15*z**2 - 26*z - 57. Let s(c) = -3*h(c) + 4*m(c). Factor s(i).
5*(i - 2)*(i + 2)*(i + 3)
Suppose 511 + 577 = 34*w + 986. Let 0*y**w + 2/11*y**5 + 0*y**2 - 4/11*y**4 + 0*y + 0 = 0. Calculate y.
0, 2
Let a(v) be the first derivative of 0*v - 3/20*v**4 + 1/10*v**2 - 16 + 2/15*v**3. Factor a(w).
-w*(w - 1)*(3*w + 1)/5
Let j(b) be the third derivative of b**7/350 + b**6/200 - 9*b**5/100 + 11*b**4/40 - 2*b**3/5 + 13*b**2. Let j(y) = 0. Calculate y.
-4, 1
Let c = -2/1395 - -2513/1395. Let w(p) be the first derivative of 0*p + 9/4*p**4 + c*p**5 + 0*p**2 + p**3 + 7 + 1/2*p**6. Determine s so that w(s) = 0.
-1, 0
Factor 0 - 1/5*a**3 - 2*a + 7/5*a**2.
-a*(a - 5)*(a - 2)/5
Let j(a) = -6*a + 376. Let g be j(62). Let x(t) be the third derivative of -1/36*t**g + 0*t**3 + 1/60*t**6 - 1/45*t**5 + 0*t + 0 - 9*t**2. Factor x(y).
2*y*(y - 1)*(3*y + 1)/3
Let g(h) be the third derivative of -h**5/90 + 5*h**4/36 + 35*h**2 - h. Find r such that g(r) = 0.
0, 5
Let t(i) be the first derivative of -5*i**3/6 - 15*i**2/4 + 45*i + 128. Find x such that t(x) = 0.
-6, 3
Let l(v) be the first derivative of -5*v**3/3 + 40*v**2 - 75*v + 35. Factor l(a).
-5*(a - 15)*(a - 1)
Let m(z) = z**3 - 17*z**2 + 78*z - 504. Let x be m(14). Let 1/3*b**2 - 2/3*b + x = 0. What is b?
0, 2
Let y be (-14)/14*(-3)/(3/(-4)*-2). Find p, given that 9/7*p**y + 3*p**3 + 3/7*p**5 + 15/7*p**4 + 0*p + 0 = 0.
-3, -1, 0
Let w(c) be the first derivative of -42 + 1/7*c**3 + 0*c + 0*c**2 + 3/28*c**4. Factor w(j).
3*j**2*(j + 1)/7
Suppose -4*o + 4 = 0, 45 = 4*m - 4*o + 13. Determine q so that -6*q - 9 - 2*q**3 + m - 6*q**2 - 2 = 0.
-1
Let r(g) = -7*g**2. Suppose v + v = 20. Let n = v - 16. Let m(y) = -2*y**2. Let l(f) = n*r(f) + 22*m(f). Factor l(c).
-2*c**2
Let b(p) be the first derivative of -p**6/3 - 26*p**5/5 + 15*p**4 - 4*p**3/3 - 29*p**2 + 30*p - 172. Factor b(q).
-2*(q - 1)**3*(q + 1)*(q + 15)
Let n = 11132/39011 + 2/5573. Suppose 2/7*j**2 - 4/7 - n*j = 0. Calculate j.
-1, 2
Let m be (-4)/6 + 178/267. Let z(i) be the third derivative of -3