. Find v, given that z(v) = 0.
-1, -1/3, 2/3
Let k(v) be the third derivative of 0*v + 1/240*v**5 - 1/12*v**4 + 4*v**2 + 0 + 2/3*v**3. Determine c so that k(c) = 0.
4
Let w be 5 + 20/(16/(-4)). Factor 0*d - 1/6*d**4 - 1/6*d**3 + w + 0*d**2.
-d**3*(d + 1)/6
Let x(r) be the third derivative of -r**5/80 - r**4/32 + 15*r**2. Factor x(z).
-3*z*(z + 1)/4
Suppose 3*k - 5*k + 16 = 0. Let i = k + -6. Solve 0*q**i + 0*q + 2*q**2 + 0*q = 0 for q.
0
Let w(b) be the third derivative of -b**5/48 + 5*b**4/32 - 5*b**3/12 - 16*b**2. Solve w(d) = 0.
1, 2
Let p be 106/26 - (-14)/(-182). Find x, given that 2/9*x**p + 8/9 - 2/3*x**2 + 8/9*x - 4/9*x**3 = 0.
-1, 2
Let m(i) be the second derivative of i**6/15 - i**5/10 - 2*i**4/3 + 4*i**3/3 - 10*i. Determine y so that m(y) = 0.
-2, 0, 1, 2
Let r(a) be the first derivative of 2/15*a**3 + 0*a**2 - 2/5*a**4 + 0*a + 6 + 6/25*a**5. Let r(p) = 0. What is p?
0, 1/3, 1
Let x(s) be the first derivative of -4*s**3/3 - 4*s**2 - 4*s - 4. Factor x(w).
-4*(w + 1)**2
Let p be (204/(-85))/(14/(-15)). Find m, given that -12/7*m + 2/7*m**2 + p = 0.
3
Let l be ((-16)/12)/((-2)/6). Let z = l - 2. Factor -3*d + d - 2*d + 6*d**2 - z*d + 2 - 2*d**3.
-2*(d - 1)**3
Solve 3*h**3 - h**3 - h**3 + h + 8*h**2 - 6*h**2 = 0 for h.
-1, 0
Let h(m) be the first derivative of m**4/12 + 2*m**3/9 - 8. Let h(q) = 0. Calculate q.
-2, 0
Let v be 0 + 1 + -3 + (-2 - -6). Let f(z) be the third derivative of 0 + 0*z - 1/12*z**3 + 1/420*z**7 + 1/24*z**4 + 0*z**5 - 1/120*z**6 - v*z**2. Factor f(x).
(x - 1)**3*(x + 1)/2
Let z(y) be the second derivative of -6*y + 0*y**3 + 0*y**2 + 1/18*y**4 + 0. Solve z(a) = 0.
0
Let w(l) = -5 + 4*l**2 - 3*l**2 + 2 - 2 - l. Let i(z) = -3*z**2 + z + 11. Let o(m) = -3*i(m) - 7*w(m). Suppose o(h) = 0. Calculate h.
-1
Let a = 292/3 - 97. Factor 2/3 + a*r - 1/3*r**2.
-(r - 2)*(r + 1)/3
Let v(c) be the third derivative of c**5/15 + 2*c**4/3 + 2*c**3 - 8*c**2. Find p, given that v(p) = 0.
-3, -1
Let x = -228 + 228. Determine t, given that 3/7*t**2 - 2/7*t + x - 1/7*t**3 = 0.
0, 1, 2
Let z be 0 + (0 - -3) - (-25)/(-9). What is a in -2/9*a - z*a**2 + 0 = 0?
-1, 0
Suppose 0 = -3*g + g + 10. Suppose -3 = -4*t + 3*r, -g*t = -4*r + r - 3. Factor t + 8/9*i**2 + 2/9*i.
2*i*(4*i + 1)/9
Let n(u) be the first derivative of -u**6/16 + 3*u**5/8 - 27*u**4/32 + 7*u**3/8 - 3*u**2/8 - 27. Factor n(m).
-3*m*(m - 2)*(m - 1)**3/8
Let u(t) = 5*t**3 + 12*t**2 + 9*t + 2. Let i(m) = 6*m**3 + 13*m**2 + 8*m + 1. Let c(w) = -4*i(w) + 5*u(w). Solve c(p) = 0 for p.
-6, -1
Let c(x) be the first derivative of x**5/60 + x**4/12 + x**3/6 - x**2 + 4. Let h(j) be the second derivative of c(j). Factor h(b).
(b + 1)**2
Let i(y) be the third derivative of y**8/1344 + y**7/168 + y**6/60 + y**5/60 - 21*y**2. Factor i(b).
b**2*(b + 1)*(b + 2)**2/4
Let i(f) be the first derivative of -f**5/210 + f**3/21 - f**2/2 + 3. Let t(u) be the second derivative of i(u). Find s, given that t(s) = 0.
-1, 1
Let y = -142 + 145. Determine m so that 10/7*m**y - 10/7*m + 4/7 + 2*m**4 - 18/7*m**2 = 0.
-1, 2/7, 1
Let i be ((-6)/4)/((-45)/12). Suppose 0 = 5*j + u - 14, 7*u - 12 = 4*j + 2*u. Let i*k**4 + 4/5*k**5 + 2/5*k**j - 14/5*k**3 - 4/5 + 2*k = 0. Calculate k.
-2, -1, 1/2, 1
Let r(k) = 6*k**4 + 11*k**3 - 3*k**2 - 5*k + 3. Let b(n) = 30*n**4 + 54*n**3 - 16*n**2 - 24*n + 16. Let v(x) = 3*b(x) - 16*r(x). Factor v(p).
-2*p*(p + 1)*(p + 2)*(3*p - 2)
Factor -3*l - 14*l**3 - 13*l**3 - 6*l**4 + 36*l**3.
-3*l*(l - 1)**2*(2*l + 1)
Suppose 10*j**3 - 20*j - 6*j**3 - 2*j**4 + 11*j**3 + 7*j**4 = 0. What is j?
-2, 0, 1
Let c(w) be the third derivative of w**6/840 - w**5/210 + w**4/168 - w**3 + 10*w**2. Let s(a) be the first derivative of c(a). Factor s(g).
(g - 1)*(3*g - 1)/7
Let o(a) be the second derivative of -25*a**5 - 175*a**4/4 - 30*a**3 - 10*a**2 - 8*a. Factor o(g).
-5*(4*g + 1)*(5*g + 2)**2
Let k(y) be the second derivative of -y**6/255 + 3*y**5/85 - 2*y**4/51 - 2*y**3/17 + 5*y**2/17 + 2*y - 1. Let k(t) = 0. Calculate t.
-1, 1, 5
Let j be 7 + -2 + 4 + -4. Let z be (-198)/(-120) - (-3)/j. Factor -21/4*o**3 - 3/4*o + 15/4*o**2 + 0 + z*o**4.
3*o*(o - 1)**2*(3*o - 1)/4
Let k = -3/31 - -43/124. Factor -k*t**2 - 1/2*t + 3/4.
-(t - 1)*(t + 3)/4
Suppose 0*x + 0 - 8/5*x**3 + 2/5*x**2 = 0. Calculate x.
0, 1/4
Let m(h) = -h**2 - 1. Let o(r) = 3*r + 7. Let z(w) = -5*m(w) - o(w). Let c be z(-2). Find b, given that -24*b + 3*b**3 + c*b + 0*b**3 = 0.
0
Let d(g) = -g**2 - 2*g - 3. Let v be d(-2). Let i be ((-2)/v)/(3/9). Factor 1/2*y**i + 1 + 3/2*y.
(y + 1)*(y + 2)/2
Let l(k) be the third derivative of k**6/480 - k**5/120 - 9*k**2. Factor l(z).
z**2*(z - 2)/4
Let k(i) = 15*i**2 - 39*i - 13. Let f(o) = -o - 9. Let q be f(-4). Let d(a) = -1. Let z(x) = q*d(x) - k(x). Find w such that z(w) = 0.
-2/5, 3
Suppose 0*x = 5*x. Factor -2/9*k + x + 0*k**2 + 2/9*k**3.
2*k*(k - 1)*(k + 1)/9
Let t(f) be the third derivative of f**5/15 + 14*f**4/3 + 392*f**3/3 + 2*f**2 + 41*f. Factor t(u).
4*(u + 14)**2
Let x = 307/555 - 18/37. Let n(y) be the second derivative of 1/63*y**7 - 1/15*y**6 - 1/3*y**3 + x*y**5 + 1/3*y**2 + 1/9*y**4 + 0 + 2*y. Factor n(g).
2*(g - 1)**4*(g + 1)/3
Let r = 195 + -584/3. Factor 2/3*s**3 - r*s + 1/3 - 2/3*s**2 + 1/3*s**4 - 1/3*s**5.
-(s - 1)**3*(s + 1)**2/3
Let j be ((-6)/30)/(1 + -2). Suppose 1/5*r + j*r**2 + 0 = 0. What is r?
-1, 0
Let s(d) be the first derivative of 2*d**6 + 24*d**5/5 - 33*d**4/4 + 3*d**3 - 36. Find w such that s(w) = 0.
-3, 0, 1/2
Determine c, given that 2/5*c**4 - 4/5*c**2 + 2/5 + 2/5*c**5 - 4/5*c**3 + 2/5*c = 0.
-1, 1
Let z(f) be the third derivative of -f**4 + 3/20*f**5 + 2*f**2 + 0 + 2*f**3 + 0*f. What is o in z(o) = 0?
2/3, 2
Let c(w) be the first derivative of -4*w**3/3 + 8*w**2 + 28. Let c(k) = 0. Calculate k.
0, 4
Let o(c) = 2*c**2 + 1. Let r be o(-2). Factor -3*l - 3*l**2 - 12*l + 3*l - r.
-3*(l + 1)*(l + 3)
Suppose 0 = -0*p - 5*p + 15. Factor 54*u**2 + 0*u**p + 12*u**3 + 0*u**3 + 81 + u**4 + 108*u.
(u + 3)**4
Let v(u) = -u**2 + u + 2. Let f be v(-2). Let j(i) = 3*i + 0*i - i. Let m(o) = -o**2 + 2*o. Let h(t) = f*j(t) + 5*m(t). Suppose h(s) = 0. What is s?
0, 2/5
Let p(v) = -4*v**2 + 40*v. Let y(o) = o**2 - 2*o. Let b(q) = p(q) + 8*y(q). Find a such that b(a) = 0.
-6, 0
Let m(a) = -a**3 - 3*a**2 + 3. Let u be m(-3). Let d be 1*0*u/9. Suppose d + 8/7*r**2 - 8/7*r - 2/7*r**3 = 0. What is r?
0, 2
Let s be 7/(-28)*12/(-93). Let x = s - -121/93. Suppose -14/3*h**5 - x*h**4 + 8/3*h**2 - 4/3 - 14/3*h + 28/3*h**3 = 0. Calculate h.
-1, -2/7, 1
Let n(m) be the third derivative of -m**9/7056 + 3*m**7/1960 - m**6/420 - 5*m**3/6 - 5*m**2. Let c(y) be the first derivative of n(y). Factor c(j).
-3*j**2*(j - 1)**2*(j + 2)/7
Factor -15/4 + 5/2*o + 5/4*o**2.
5*(o - 1)*(o + 3)/4
Let q(f) be the third derivative of f**7/945 - f**6/270 - f**5/270 + f**4/54 + 13*f**2. Find d, given that q(d) = 0.
-1, 0, 1, 2
Let t(w) be the first derivative of -w**6/15 + w**5/5 - 2*w**3/3 + w**2 + 2*w - 3. Let x(i) be the first derivative of t(i). Suppose x(m) = 0. Calculate m.
-1, 1
Let v be 644/(-208) - -3 - 7/(-28). Determine l, given that -2/13*l + v*l**2 + 2/13*l**3 - 2/13 = 0.
-1, 1
Let o = 56 - 22. Suppose 3*a = 3*m + 90, -4*m + o = 2*a + 4. Find b, given that -8*b + 48*b**4 + 47*b**4 + 0*b**5 - a*b**5 - 114*b**3 + 52*b**2 = 0.
0, 2/5, 1, 2
Let z(g) be the third derivative of -g**7/14 + 13*g**6/120 + g**5/30 - 7*g**2. Find b, given that z(b) = 0.
-2/15, 0, 1
Let r(v) = -3*v**3 - 7*v**2 - v. Let b(i) = -i**2. Let c(w) = -6*b(w) + r(w). Let f be c(-1). Factor -2*h**f + 3*h**3 + h**3.
2*h**3
What is m in 1/4 - 1/4*m**2 + 0*m = 0?
-1, 1
Suppose -2*h = 4*l - 22, -2*h + 0 = -4*l + 18. Let a(s) be the first derivative of 4/3*s**3 - s**2 + 0*s - 1/2*s**4 - h. Factor a(c).
-2*c*(c - 1)**2
Let w(h) = -3*h**3 - 16*h**2 - 83*h. Let j(v) = -7*v**3 - 31*v**2 - 167*v. Let c(s) = -6*j(s) + 15*w(s). Factor c(g).
-3*g*(g + 9)**2
Let y be (-50)/(-8) - 4/16. Factor -3*c + 3*c + y - 2*c**3 - 6*c**2 + 2.
-2*(c - 1)*(c + 2)**2
Factor 64/5*g**2 - 28/5*g**3 - 16/5*g + 0.
-4*g*(g - 2)*(7*g - 2)/5
Suppose 26*p = 6*p - 24*p. Let p*g**4 + 0 + 0*g**2 + 2/7*g**3 - 2/7*g**5 + 0*g = 0. Calculate g.
-1, 0, 1
Factor 9/7 + 9/7*f**2 + 30/7*f.
3*(f + 3)*(3*f + 1)/7
Let q(i) = -i**3 + i**2 + i + 2. Let p be q(2). Suppose 4*k + 3*o - 5 = 0, 4*k -