e the first derivative of 0*s + 26/3*s**3 + 2*s**2 - 10. Factor g(z).
2*z*(13*z + 2)
Factor -6 - 2/7*o**2 - 20/7*o.
-2*(o + 3)*(o + 7)/7
Let y = 4 - -11. Let k be -3 + 50/y + 2/6. Factor -2*h**4 + 2/3 + 4/3*h**2 + 4/3*h**3 + k*h**5 - 2*h.
2*(h - 1)**4*(h + 1)/3
Let k = 2/151 + 743/906. Let 0 + 1/2*l - k*l**2 + 1/6*l**3 + 1/6*l**4 = 0. What is l?
-3, 0, 1
Let w(b) be the first derivative of 0*b**4 + 0*b + 2 - 2/27*b**3 + 0*b**2 + 2/45*b**5. Solve w(i) = 0 for i.
-1, 0, 1
Let l be 115/(-6762)*3/(-30)*2. Let w(y) be the second derivative of -1/21*y**3 - 1/70*y**6 + 1/140*y**5 + 0 + l*y**7 + 0*y**2 + 5*y + 1/28*y**4. Factor w(k).
k*(k - 2)*(k - 1)**2*(k + 1)/7
Find n, given that 36/7 + 50/7*n + 12/7*n**2 - 2/7*n**3 = 0.
-2, -1, 9
Let -4/21 + 2/21*c**3 + 10/21*c - 8/21*c**2 = 0. What is c?
1, 2
Let n = 11862 + -11814. Suppose 98*i**2 + 8/3 - 28*i + n*i**5 - 359/3*i**3 + 8*i**4 = 0. What is i?
-2, 1/4, 2/3
Let k be (-32)/24 + 100/12 + -1. Let o(y) be the first derivative of -2/15*y**3 - 3/10*y**4 + 4 + 0*y**2 - 6/25*y**5 + 0*y - 1/15*y**k. Factor o(m).
-2*m**2*(m + 1)**3/5
Let t(o) = -99*o**4 - 387*o**3 + 681*o**2 - 267*o + 9. Let d(p) = 25*p**4 + 97*p**3 - 170*p**2 + 66*p - 2. Let k(w) = -9*d(w) - 2*t(w). Factor k(n).
-3*n*(n + 5)*(3*n - 2)**2
Let k = 26 + -43. Let a = -2 - k. What is w in -2*w + 2*w**3 - 4*w**3 - a*w**2 + 3*w**3 + 14*w**2 = 0?
-1, 0, 2
Factor -2/5*c**2 + 102/5 + 28/5*c.
-2*(c - 17)*(c + 3)/5
Let g(z) be the second derivative of z**5/190 - 7*z**4/114 - z**3/57 + 7*z**2/19 + 11*z - 3. What is l in g(l) = 0?
-1, 1, 7
Let h(c) be the second derivative of c**5/180 + c**4/24 + c**3/9 - 11*c**2/2 + 13*c. Let d(u) be the first derivative of h(u). Factor d(j).
(j + 1)*(j + 2)/3
Let v be 0/(-3 + -2 + 4). Suppose v = -3*s + 7*s + 2*s. Let -1/3*w**5 - 2/3*w**2 + 2/3*w**4 + 1/3*w**3 + s + 0*w = 0. Calculate w.
-1, 0, 1, 2
Let c(f) be the second derivative of -7*f**4/24 + 59*f**3/4 - 25*f**2/2 + 2*f - 2. Let c(z) = 0. What is z?
2/7, 25
Factor -2/11*h**3 + 28/11 + 2/11*h - 28/11*h**2.
-2*(h - 1)*(h + 1)*(h + 14)/11
Let i(a) = a**5 + 2*a**4 - 1. Let x(k) = -k**5 - 30*k**4 - 18*k**3 + 40*k**2 + 24*k - 5. Let z(v) = -10*i(v) + 2*x(v). Suppose z(h) = 0. Calculate h.
-6, -1, -2/3, 0, 1
Determine r, given that 6/7*r**2 + 0 + 2/7*r + 2/7*r**4 + 6/7*r**3 = 0.
-1, 0
Let q(v) be the third derivative of -22*v**7/945 - v**6/3 - 247*v**5/135 - 40*v**4/9 - 8*v**3/3 - 3*v**2 - 168. Find z, given that q(z) = 0.
-3, -2, -2/11
Let m be 5/(-25) - (-138)/(-10). Let a be 228/28 - (-2)/m. Determine z so that 2*z**2 + 2 - 4*z + a*z**3 - 9*z**4 - 2 + 3*z**4 = 0.
-2/3, 0, 1
Let d(s) = s**3 + 4*s**2 - s - 1. Let k be d(-3). Let o be (-19)/38 - k/(-14). Solve 8/7*j - o*j**2 - 8/7 = 0 for j.
2
Let i(k) = -2*k**3 + 28*k**2 - k. Let o be i(14). Let d be 35/(-98)*o/4. Factor -1/2*u**2 + 0*u + d*u**3 - u**4 + 0 + 1/4*u**5.
u**2*(u - 2)*(u - 1)**2/4
Let m = -1348/9 + 150. Suppose 5*f - 11 = -4*z, -6*z = 3*f - 2*z - 5. Factor 0 - m*i**2 + 0*i - 2/9*i**f.
-2*i**2*(i + 1)/9
Let v be ((-4)/4 - 0)*0. Let a be (5 + -6)*((-340)/55 + 6). Find k such that -2/11 + a*k**2 + v*k = 0.
-1, 1
Let z(r) be the first derivative of -12/7*r**2 - 10/7*r - 18 + 6/7*r**3. Suppose z(n) = 0. Calculate n.
-1/3, 5/3
Factor 240 - 59*l**4 - 67*l**4 + 194*l**4 - 71*l**4 - 312*l + 12*l**3 + 63*l**2.
-3*(l - 4)**2*(l - 1)*(l + 5)
Let k be 18/24*(1 + 10/6). Let g(u) be the first derivative of -8/25*u**5 + 0*u**3 - 3/10*u**4 + 1/10*u**2 - k + 0*u - 1/10*u**6. Solve g(x) = 0.
-1, 0, 1/3
Let w(z) be the first derivative of -7*z**6/120 - 4*z**5/15 - 11*z**4/24 - z**3/3 + 11*z**2/2 + 7. Let b(y) be the second derivative of w(y). Solve b(n) = 0.
-1, -2/7
Suppose 16 + 24*c + 24*c + 12*c - 28*c**2 - 12*c = 0. Calculate c.
-2/7, 2
Let m(t) = t**4 - t**2 + 1. Let p = -120 - -76. Let l(h) = h**5 + 16*h**4 + 9*h**3 - 4*h**2 + 2*h + 11. Let j(u) = p*m(u) + 4*l(u). Suppose j(k) = 0. What is k?
-2, -1, 0
Let y = 98 + -49. Determine c, given that -y*c**2 + 24*c + 14*c**2 + 20*c**2 + 48 + 18*c**2 = 0.
-4
Let w be ((-37)/37)/(5/(-15)). Factor -2/3*f - 2/3*f**4 + 2/9 + 4/9*f**2 + 4/9*f**w + 2/9*f**5.
2*(f - 1)**4*(f + 1)/9
Suppose -1/2*j + 19/6*j**2 - 11/2*j**3 + 0 + 3/2*j**4 = 0. What is j?
0, 1/3, 3
Let h = -11200 + 33604/3. Solve -h*u + 2/3*u**2 + 0 = 0 for u.
0, 2
Suppose 3*o + 0*o - 9 = 3*y, 4*y = -2*o + 6. Determine s, given that 4*s - 285*s**5 - 12*s**o + 12*s**4 + 281*s**5 + 4*s**2 - 4*s = 0.
0, 1
Let k(r) = -7*r - 18. Let l be k(-3). Let t(f) be the first derivative of 1/10*f**5 + 8 + 0*f + 1/8*f**4 + 0*f**2 - 1/6*f**l - 1/12*f**6. Factor t(w).
-w**2*(w - 1)**2*(w + 1)/2
Let l(o) be the third derivative of -o**6/960 + 7*o**5/480 - 372*o**2. Factor l(h).
-h**2*(h - 7)/8
Let y = 3364/3 + -359930/321. Let n = 196/321 + y. Factor -4/9 - n*k + 16/9*k**2 - 2/3*k**3.
-2*(k - 2)*(k - 1)*(3*k + 1)/9
Let t(a) be the second derivative of 1/9*a**4 - 2/3*a**2 + 0 - a + 0*a**3. Suppose t(p) = 0. Calculate p.
-1, 1
Let y(l) be the third derivative of -l**8/5040 - l**7/1260 + 11*l**5/20 + 19*l**2. Let z(x) be the third derivative of y(x). Factor z(u).
-4*u*(u + 1)
Determine w so that 93*w + 22*w**2 - 4*w**3 - 30*w**2 - 161*w - 40*w**2 + 120 = 0.
-10, -3, 1
Suppose -7 = -3*c + 3*f + 17, -2*c = -3*f - 20. Suppose c*z - 27 = z. Factor -z + 2*b**2 + 0*b**2 - 12*b + 2*b**2 - 7*b**2.
-3*(b + 1)*(b + 3)
Suppose 15*n - 160 = 10*n. Let -n + 2*f**2 - 3*f + f**2 + 26 = 0. What is f?
-1, 2
Let t be (-123)/12 + 1/4. Let y = 15 + t. Factor 0 + 0*z**2 - z**y - 1/3*z**3 + 0*z + 4/3*z**4.
-z**3*(z - 1)*(3*z - 1)/3
Suppose -162 = -3*l - 3*l. Factor 5*r**3 - 162*r**2 - 15*r**2 + l*r**2 - 5000 + 1500*r.
5*(r - 10)**3
Suppose 3*x = -3*k + k + 13, 0 = 5*k + 3*x - 28. Factor -300*y**3 - 750*y**4 + 4*y - k*y - 625*y**5 - 40*y**2 + y.
-5*y**2*(5*y + 2)**3
Let d(p) = -74*p - 3106. Let n be d(-42). Let 7/2*a - 1/2*a**n - 5 = 0. Calculate a.
2, 5
Let g(f) = -8*f**4 + 43*f**3 - 54*f**2 - f + 20. Let u(p) = -33*p**4 + 171*p**3 - 216*p**2 - 3*p + 81. Let j(d) = 9*g(d) - 2*u(d). Solve j(i) = 0 for i.
-1/2, 1, 6
Let j(w) be the first derivative of 2*w**3/45 - 24*w**2 + 4320*w - 165. Factor j(o).
2*(o - 180)**2/15
Let j(g) be the third derivative of g**5/30 - 37*g**4/6 + 1369*g**3/3 + 5*g**2 - 5. Factor j(x).
2*(x - 37)**2
Determine s, given that 0*s - 2/5*s**5 + 0*s**4 + 0 - 4/5*s**2 + 6/5*s**3 = 0.
-2, 0, 1
Let g(b) = -b**5 + b**4 + b**2 + b. Let j(r) = 24*r**4 + 32*r**3 + 20*r**2 + 4*r. Let m(o) = 4*g(o) - j(o). Factor m(q).
-4*q**2*(q + 1)*(q + 2)**2
Suppose 2*l - 4 + 25 = x, -3*l = 12. Suppose b + x = 5*z, b = 5*z + 4*b - 1. Factor -6*v + 8/3*v**z + 4/3.
2*(v - 2)*(4*v - 1)/3
Suppose -3*t + 24 - 90 = -4*c, 5*c + t = 73. Factor 0*v**2 + 5*v**5 + c*v**3 + 8*v**4 + 7*v**4 + 5*v**2.
5*v**2*(v + 1)**3
Let k be -7 + (4 + -15 - (2 - 20)). Find l such that k + 2/3*l**2 + 0*l = 0.
0
What is p in -10/3*p**2 + 2/3*p - 2/3*p**3 + 10/3 = 0?
-5, -1, 1
Let r(y) be the first derivative of y**7/56 - 5*y**6/36 + 3*y**5/8 - 5*y**4/12 + 12*y**3 - 33. Let f(b) be the third derivative of r(b). Factor f(i).
5*(i - 2)*(i - 1)*(3*i - 1)
Let f(k) be the third derivative of -k**7/504 + k**6/36 - k**5/6 - k**4 - 4*k**2. Let j(p) be the second derivative of f(p). Factor j(m).
-5*(m - 2)**2
Suppose -4 - 2/15*t + 2/15*t**2 = 0. Calculate t.
-5, 6
Let f(m) be the third derivative of m**7/210 + m**6/30 + m**5/15 + 8*m**3/3 - 7*m**2. Let q(g) be the first derivative of f(g). Factor q(h).
4*h*(h + 1)*(h + 2)
Let t be 1 + 3 + 0/8 + -2. Let f(o) be the third derivative of 0*o - 2/3*o**3 + 2/15*o**5 + 7/12*o**4 + 7*o**t + 0. Factor f(z).
2*(z + 2)*(4*z - 1)
Suppose -2*n + 8 + 2 = -2*b, -2*n + 5 = -b. Let o = n + 3. Find k such that 20 - 13*k**2 - 1 + 3*k**2 - 6*k - 1 - 2*k**o = 0.
-3, 1
Let k(q) be the third derivative of -15/56*q**4 + 1/20*q**5 - 1/280*q**6 + 0*q + 9/14*q**3 - 22*q**2 + 0. Find x such that k(x) = 0.
1, 3
Suppose p + 27 = -2*p. Let m be (-1)/(21/p - -2). Factor -4 - 46*i**3 + 10*i**m - 15*i - 13*i - 60*i**2.
-4*(i + 1)*(3*i + 1)**2
Let n(r) = -4*r**4 + 3*r**3 + 6*r**2 - 3*r. Let k(o) = 3 + 1 - 3 - 13*o**4 + 19*o**2 + 9*o**3 - 9*o. Let g(d) = 4*k(d) - 14*n(d). Let g(h) = 0. Calculate h.
-1, -1/2, 1, 2
Let c(p) = -2*p**2 + 17*p - 23. Let v = 4 - 2. Let u(t) = 10 - 18*t**2 + 52*t -