*v(b) + 4*w(b). Factor j(h).
4*(h - 2)**4
Factor 18/17*t + 40/17 + 2/17*t**2.
2*(t + 4)*(t + 5)/17
Find p such that -37*p**2 + 4*p**5 + 10*p**4 - p**4 + 5*p**2 - p**4 - 16*p**3 = 0.
-2, 0, 2
Let d = -10 - -12. Suppose 4*v = 5*w, 3*v + 5 - 12 = d*w. Solve -2*b**5 + b**5 + 8*b**2 - 8*b**w + 6*b**5 + 4*b - 9*b**3 = 0 for b.
-1, -2/5, 0, 1, 2
Factor -353*i**2 - 20 + 374*i**2 + 6*i**3 + 26 + 21*i.
3*(i + 1)*(i + 2)*(2*i + 1)
Suppose 1 = -v + 6*p - 3*p, -3*v + 1 = -5*p. Factor u**v + 2574 - 2574 - 3*u + u.
u*(u - 2)
Factor -5 - 60*b**2 + 117*b**2 + 115*b + 5 + 93*b**2 + 35*b**3.
5*b*(b + 1)*(7*b + 23)
Let n = -29/40 + 17/8. Factor -2/5*c**3 - 7/5*c**4 + 2/5*c + n*c**2 + 0.
-c*(c - 1)*(c + 1)*(7*c + 2)/5
Let p be (-320)/96*(-6)/4. Let a(j) be the third derivative of 0*j**4 + 0*j + 1/20*j**p + 0 + 0*j**3 - 3*j**2. Let a(w) = 0. Calculate w.
0
Let l(z) be the third derivative of z**7/2520 - z**6/180 + z**5/40 - z**3/6 + 8*z**2. Let x(g) be the first derivative of l(g). Factor x(j).
j*(j - 3)**2/3
Let r(n) = 6*n**2 - 19*n - 3. Let p be r(3). Let g be -2 - (p/27 - 2). Factor 0 - 8/9*q**2 + g*q**3 + 2/3*q.
2*q*(q - 3)*(q - 1)/9
Let p(t) = 2*t**4 + 5*t**3 - 8*t**2 + t. Let q(o) = o**3 - 2*o**2 + o. Let f(n) = -2*p(n) + 6*q(n). Solve f(k) = 0.
-1, 0, 1
Let i(o) be the first derivative of -2*o**3/7 + 34*o**2/7 + 48*o/7 - 14. Suppose i(v) = 0. What is v?
-2/3, 12
Solve 5/6*f**4 + 0 - 5/2*f**3 + 0*f**2 + 10/3*f = 0.
-1, 0, 2
Factor 2/13*y**2 + 6/13*y**4 + 6/13*y**3 + 0 + 0*y + 2/13*y**5.
2*y**2*(y + 1)**3/13
Let f(b) be the second derivative of -b**4/15 + 2*b**2/5 + 98*b. Factor f(z).
-4*(z - 1)*(z + 1)/5
Let q(j) be the first derivative of -4*j**3/21 - 48*j**2 - 668*j/7 + 392. Solve q(p) = 0.
-167, -1
Let w be (11 + -11)*(5 - 9)/(-4). Let b(r) be the first derivative of 2 + 3/2*r**4 + 0*r**3 - 1/2*r**6 + w*r + 3/5*r**5 + 0*r**2. Factor b(a).
-3*a**3*(a - 2)*(a + 1)
Let s(q) be the second derivative of q**7/21 - 3*q**5/10 + q**4/3 - 197*q. Factor s(j).
2*j**2*(j - 1)**2*(j + 2)
Let r = -8198 + 16397/2. Factor 0*j - r*j**2 + 3*j**3 + 0 + 2*j**5 - 9/2*j**4.
j**2*(j - 1)**2*(4*j - 1)/2
Let f be 0 + -7 - 203*7/(-196). Determine m so that 1/4*m**3 + 0*m + 0 + 1/4*m**4 - f*m**5 - 1/4*m**2 = 0.
-1, 0, 1
Let r(q) be the third derivative of q**6/360 - 7*q**5/180 - q**4/72 + 7*q**3/18 + 46*q**2. What is u in r(u) = 0?
-1, 1, 7
Let i(f) be the third derivative of 1/6*f**4 + 13*f**2 + 0*f + 0 - 1/2*f**3 - 1/60*f**5. Solve i(b) = 0.
1, 3
Let y(c) be the first derivative of 4*c**3/3 - 36*c - 40. Factor y(t).
4*(t - 3)*(t + 3)
Let k = 10625 - 116873/11. Solve 0 + 18/11*h + k*h**2 = 0.
-9, 0
Let x(g) = g**2 + 6*g - 21. Let f be x(-9). Determine t so that 1 - 2 - 2*t**3 + 2*t**4 - f*t**2 + 2*t - 3 + 8*t = 0.
-2, 1
Solve 2*r + 8*r**2 + 12 + r - 48 - 15*r = 0 for r.
-3/2, 3
Let c(j) be the third derivative of 3*j**8/112 + 2*j**7/35 - j**6/8 - j**5/10 - 2*j**2 - 35*j. What is r in c(r) = 0?
-2, -1/3, 0, 1
Let c(z) = 73*z**3 + z**2 + 4*z - 5. Let h be c(1). Let q = h + -71. Determine u, given that 4/3*u**5 - 2/3*u - u**q + 0 + 16/3*u**3 - 5*u**4 = 0.
-1/4, 0, 1, 2
Suppose 36*a = 78*a - 84. Let j(k) be the second derivative of -1/45*k**4 - 4/45*k**3 - 1/15*k**a + 1/75*k**6 + 0 + 2/75*k**5 + 12*k. Find s such that j(s) = 0.
-1, -1/3, 1
Let c be (-4)/70*(31/(-24) + 1). Let x(i) be the second derivative of 0*i**2 + 0*i**3 - 2*i + 0 + 1/20*i**5 + c*i**6 + 1/24*i**4. Solve x(z) = 0.
-1, 0
Factor 12*v + 4*v**3 + 12 - 19 + 3 - 12*v**2.
4*(v - 1)**3
Let x(q) = q**4 + q**3 - q. Suppose 3 - 1 = o. Let r(s) = 2*s**5 - 8*s**4 - 14*s**3 - 8*s**2 + 14*s. Let k = 42 + -14. Let f(l) = k*x(l) + o*r(l). Factor f(z).
4*z**2*(z - 1)*(z + 2)**2
Let g = -37 + 82. Let f be (80/g)/(-8) - (-28)/45. Solve 2/5*p**3 + f - 2/5*p**2 - 2/5*p = 0 for p.
-1, 1
Let v(x) be the second derivative of 0 + 11*x - 3/8*x**4 + 3/2*x**2 - 5/4*x**3. Factor v(j).
-3*(j + 2)*(3*j - 1)/2
Let p(l) be the first derivative of -5/48*l**4 - 1/3*l**3 - 1/80*l**5 - l + 5 - 1/2*l**2. Let i(o) be the first derivative of p(o). Factor i(t).
-(t + 1)*(t + 2)**2/4
Let b = 860/1287 - 2/1287. Factor b + 2/21*l**2 + 16/21*l.
2*(l + 1)*(l + 7)/21
Let v(q) be the second derivative of -q**7/63 + q**5/10 - q**4/9 + 2*q + 2. Suppose v(i) = 0. Calculate i.
-2, 0, 1
Let s(w) = -w**2 - 8*w - 9. Let u be 7/21 + (-77)/(-3). Let i = 24 - u. Let f(o) = 2*o + 2. Let t(y) = i*s(y) - 9*f(y). Factor t(m).
2*m*(m - 1)
Let m(p) be the first derivative of p**3 - 114*p**2 + 4332*p + 186. Factor m(l).
3*(l - 38)**2
Let -f**3 - 18*f - 3*f**2 + 4*f**3 - 42*f - 2*f**2 + 2*f**2 = 0. What is f?
-4, 0, 5
Let l(b) be the third derivative of b**6/540 + 11*b**5/135 + 35*b**4/27 + 200*b**3/27 + b**2 + 125. Let l(x) = 0. Calculate x.
-10, -2
Factor -30*i - 8*i**3 - 15*i**3 + 12*i**3 - 16*i**3 - 63*i**2 - 78*i**2.
-3*i*(i + 5)*(9*i + 2)
Let u(d) be the second derivative of -d**7/525 + d**6/100 + 2*d**5/75 - 13*d**2 - 17*d. Let k(x) be the first derivative of u(x). Factor k(o).
-2*o**2*(o - 4)*(o + 1)/5
Factor 0*r**3 - 3/8*r**4 + 9/8 + 9/4*r**2 + 3*r.
-3*(r - 3)*(r + 1)**3/8
Solve -21*p**2 - 14 - 16*p**2 - 6 + 42*p**2 = 0 for p.
-2, 2
Let h(a) = -a**5 - a**4 - a**3 + 1. Let i(y) = 8*y**4 + 8*y**3 + 4*y**2 + 4. Let j be (2 + (-6)/5)*-5. Let s(b) = j*h(b) + i(b). Factor s(z).
4*z**2*(z + 1)**3
Let w be (12/(-5))/(-3) + 560/4550. Determine d so that -16/13*d**3 - 6/13*d**4 + 2/13 + 0*d - w*d**2 = 0.
-1, 1/3
Let s be 10*(-2)/(-4) + -1 + 2. Let l(j) be the first derivative of 0*j**2 - 4/3*j**s + 2/3*j**3 - 14/5*j**5 + 3 - j**4 + 0*j. Let l(k) = 0. Calculate k.
-1, 0, 1/4
Let m(n) = 3*n - 13. Let a be m(6). Let k be 51/15 + (-2)/a. What is f in -4*f**3 + f**2 + f**2 + 3*f**k = 0?
0, 2
Let l(j) be the third derivative of j**7/1470 - j**6/70 + j**5/20 - 5*j**4/84 - 26*j**2. Factor l(u).
u*(u - 10)*(u - 1)**2/7
Let h(q) be the second derivative of 0*q**3 + 2*q + 0 - 1/38*q**4 + 1/190*q**5 + 4/19*q**2. Factor h(k).
2*(k - 2)**2*(k + 1)/19
Let y(v) be the third derivative of v**5/12 - 5*v**4/24 - 5*v**3/3 - 19*v**2 + 4*v. Factor y(w).
5*(w - 2)*(w + 1)
Let k(q) be the first derivative of 35/3*q**3 + 1 - 80*q + 20*q**2 + 5/4*q**4. Factor k(y).
5*(y - 1)*(y + 4)**2
Factor 0*f**2 + 6*f**2 - 18*f**2 + 2*f**2 - 16*f + 2*f**3 + 24.
2*(f - 6)*(f - 1)*(f + 2)
What is x in -48/5 - 532*x**2 - 2024/5*x**4 - 242/5*x**5 - 3858/5*x**3 - 632/5*x = 0?
-6, -1, -2/11
Let k be 624/273 - (-6)/(3 + -6). Determine c so that -4/7*c**3 - k*c**4 + 0*c + 6/7*c**2 + 0 = 0.
-3, 0, 1
Let w(i) be the first derivative of i**4 - 2/5*i**5 - 2/3*i**3 + 0*i**2 - 6 + 0*i. Determine u so that w(u) = 0.
0, 1
Let z(i) = -i**2 - 6*i - 2. Let p be z(-5). Let j(d) be the first derivative of 2/15*d**p + 1/5*d**2 - 1/10*d**4 - 2/5*d + 6. Solve j(o) = 0.
-1, 1
Let l(g) be the first derivative of -g**3/5 + 63*g**2/10 + 66*g/5 - 70. Factor l(a).
-3*(a - 22)*(a + 1)/5
Let w(f) be the third derivative of -5*f**8/336 - 89*f**7/42 - 175*f**6/24 - 29*f**5/4 - 17*f**2 - 5. Factor w(s).
-5*s**2*(s + 1)**2*(s + 87)
Let x be ((-364)/(-98))/(-13) + (-34)/(-70). Factor 0 + 2/5*s - 1/5*s**2 - x*s**3.
-s*(s - 1)*(s + 2)/5
Let o = 118/9 - 1177/90. Let a(v) be the first derivative of -5 + 0*v**2 + 0*v + 1/25*v**5 + o*v**6 - 1/20*v**4 - 1/15*v**3. Factor a(l).
l**2*(l - 1)*(l + 1)**2/5
Let n(b) be the third derivative of 1/1620*b**6 - 8*b**2 + 0*b + 0 + 1/270*b**5 + 0*b**4 - 2/3*b**3. Let p(a) be the first derivative of n(a). Factor p(d).
2*d*(d + 2)/9
Let s(h) be the first derivative of 3*h**5 - 55*h**4/4 - 95*h**3/3 - 25*h**2/2 - 217. Let s(x) = 0. What is x?
-1, -1/3, 0, 5
Let n(c) be the first derivative of c**6/2 + 12*c**5/5 + 3*c**4/4 - 10*c**3 - 6*c**2 + 24*c + 50. Find z, given that n(z) = 0.
-2, 1
Let j(q) be the third derivative of -q**6/240 + 3*q**5/20 + q**4/48 - 3*q**3/2 + 2*q**2 + 76*q. Factor j(o).
-(o - 18)*(o - 1)*(o + 1)/2
Factor -7/6*p**2 + 1/2*p**4 - 1/2*p**3 + p + 0 + 1/6*p**5.
p*(p - 1)**2*(p + 2)*(p + 3)/6
Let r = 2 + -2. Suppose 25 - 3 = 2*j + s, 3*j + s - 32 = r. Factor 866 - 5*l**3 - 866 - j*l**4 - 5*l**5.
-5*l**3*(l + 1)**2
Let p(t) = 2*t**2 - 6*t - 6. Let w(z) = -5*z**2 + 17*z + 17. Let c be (-1 + 35)*(-3 + (-35)/(-10)). Let x(s) = c*p(s) + 6*w(s). Suppose x(a) = 0. Calculate a.
0
Let b(t) be the first derivative of 