 5*h + 15*h**4 - 9*h + 59*h**4 + 24*h**2 + 76*h**3 - i = 0.
-1, -1/3, 1/4
Suppose 48*d - 23*d**2 + 145*d**3 - 142*d**3 - d**2 = 0. What is d?
0, 4
Let u(f) = 240*f**4 + 165*f**3 - 560*f**2 - 10*f - 30. Let k(i) = 22*i**4 + 15*i**3 - 51*i**2 - i - 3. Let j(g) = -65*k(g) + 6*u(g). Find b such that j(b) = 0.
-3, -1/2, 1
Let u = 68 + -127/2. Let p = -77/18 + u. Determine o so that 0*o + 0 + 2/9*o**2 + p*o**5 + 2/3*o**4 + 2/3*o**3 = 0.
-1, 0
Let s(f) = -6*f**2 + f. Let p(u) = u**2 - 2*u - 3. Let g be p(-5). Let n = 15 - g. Let x(y) = 2*y**2. Let m(r) = n*x(r) - 6*s(r). Let m(l) = 0. What is l?
0, 3
Factor -5 + 77/6*l + 20/3*l**2 - 1/2*l**3.
-(l - 15)*(l + 2)*(3*l - 1)/6
Determine r, given that -21*r**2 - r**3 - 66*r - 54*r - 88 - 1 - 43 + 4*r**3 = 0.
-2, 11
Let g be 32 - 30 - 7/4. Let t(f) be the first derivative of -g*f**2 + 1/4*f - 2 + 1/12*f**3. Factor t(p).
(p - 1)**2/4
Let z(l) be the third derivative of -l**7/1155 - l**6/132 - l**5/55 - 297*l**2. Factor z(y).
-2*y**2*(y + 2)*(y + 3)/11
Let f(s) = -1 - 47*s**3 + 47*s**3 + s - s**5 + s**4 - s**2. Let d(y) = -5*y**5 + 6*y**4 + 4*y**3 - 6*y**2 + y - 4. Let i(c) = -d(c) + 4*f(c). Solve i(z) = 0.
-1, 0, 1, 3
Let b(r) = r**2 - 18*r + 18. Let y be b(17). Suppose 0 = 5*z - 5*w - 10, 2*w + 0 = z - y. Determine f, given that -8/3 - 28/3*f + 9*f**z - 6*f**2 + 9*f**4 = 0.
-2/3, 1
Let q(h) be the second derivative of h**6/21 + 33*h**5/70 - h**4/3 - 415*h. Factor q(p).
2*p**2*(p + 7)*(5*p - 2)/7
Let f(c) = 2*c**2 + 19*c + 13. Let g be f(-9). Factor x**4 - 3 + 7*x**2 - 2*x**2 + g*x + x**2 + 4 + 4*x**3.
(x + 1)**4
Let h(s) be the first derivative of s**5/80 + 7*s**4/16 + 49*s**3/8 - 21*s**2/2 - 19. Let r(q) be the second derivative of h(q). Factor r(k).
3*(k + 7)**2/4
Let s(f) be the second derivative of -f**8/11200 + f**7/700 - 4*f**5/25 - 7*f**4/3 + 6*f + 4. Let v(a) be the third derivative of s(a). Let v(r) = 0. What is r?
-2, 4
Suppose 3*s - 2 = 2*s. Suppose -4 = -s*t - 0. Suppose -4*v**2 + 20*v**2 - t*v**2 - 4*v = 0. Calculate v.
0, 2/7
Factor 513*c**2 - 217*c**2 + 516*c + 3*c**3 - 158*c**2 + 517 - 13.
3*(c + 2)**2*(c + 42)
Let i(k) be the third derivative of 0*k**3 - 1/120*k**6 - 1/2016*k**8 - 1/90*k**5 + 0 - 1/315*k**7 + 0*k - 1/144*k**4 - 8*k**2. Factor i(s).
-s*(s + 1)**4/6
Let o(k) = -3*k + 37. Let v(t) = -t + 19. Let j(c) = -2*o(c) + 5*v(c). Let z be j(0). Factor -z*f + 4*f**2 - 2*f**3 - 19*f + 40*f.
-2*f**2*(f - 2)
Let i(b) be the first derivative of b**5/35 - b**4/14 - b**3/7 + 106. Find j such that i(j) = 0.
-1, 0, 3
Let q(d) be the second derivative of -d**6/30 - d**5/2 - 37*d**4/12 - 10*d**3 - 18*d**2 + 2*d - 3. Factor q(h).
-(h + 2)**2*(h + 3)**2
Let k be 6/(-20)*15/(-36). Let h be (27/42)/((-6)/7) - -1. Factor k + 3/8*g + h*g**2.
(g + 1)*(2*g + 1)/8
Let w(h) be the second derivative of h**9/3024 - h**7/168 + h**6/72 - 7*h**4/12 + 12*h. Let l(r) be the third derivative of w(r). Suppose l(d) = 0. What is d?
-2, 0, 1
Let j(r) be the third derivative of -r**6/660 + 79*r**5/330 - 380*r**4/33 - 1600*r**3/33 - 9*r**2 - 14. Let j(a) = 0. What is a?
-1, 40
Determine i, given that -65/4 - 5/4*i**2 + 35/2*i = 0.
1, 13
Let b(w) be the first derivative of 0*w + 0*w**2 - 36 - 1/35*w**5 + 2/7*w**3 - 1/28*w**4. Factor b(u).
-u**2*(u - 2)*(u + 3)/7
Let p(w) be the third derivative of w**7/1260 + 7*w**6/540 + 2*w**5/45 - 4*w**4/9 - 13*w**3/6 - 22*w**2. Let z(l) be the first derivative of p(l). Factor z(t).
2*(t - 1)*(t + 4)**2/3
Factor -32*f**2 - 101*f + 57*f + 219 - 147 + 4*f**3.
4*(f - 9)*(f - 1)*(f + 2)
Let q(r) be the first derivative of 0*r + 2/3*r**3 - 1/2*r**2 - 1/4*r**4 + 9. Factor q(b).
-b*(b - 1)**2
Let l = 132 - 128. Let b be (0/(-16))/(l/2). Find p, given that 3*p**2 - 3/2*p**4 + b*p + 0*p**3 - 3/2 = 0.
-1, 1
Suppose 10 = -2*y, 4*r + 5*y - 158 = -83. Factor r + 5*w + 1/4*w**2.
(w + 10)**2/4
Let b be 45/25*20/6. Factor 1 - 5*o**2 + o + 4 + 0*o - b*o + 5*o**3.
5*(o - 1)**2*(o + 1)
Let k(w) be the first derivative of -w**4/28 + 12*w**3/7 - 51*w**2/2 + 578*w/7 - 324. Determine s so that k(s) = 0.
2, 17
Let w(c) = 8*c**4 + 27*c**3 + 69*c**2 + 44*c + 12. Let u = 127 - 118. Let d(o) = 2*o**4 + 7*o**3 + 17*o**2 + 11*o + 3. Let j(i) = u*d(i) - 2*w(i). Factor j(n).
(n + 1)**3*(2*n + 3)
Let l(r) be the second derivative of -r**6/10 + 9*r**5/5 - 11*r**4/4 + r + 70. Factor l(t).
-3*t**2*(t - 11)*(t - 1)
Let i(v) be the third derivative of 0*v + 0*v**4 + 0 + 1/120*v**6 + 0*v**3 + 2*v**2 + 1/60*v**5. Factor i(n).
n**2*(n + 1)
Let p be -3 + (-8)/(-2) + 2. Solve -5*k**3 + 8*k**p + 4*k**4 + 5*k**3 = 0.
-2, 0
Let f(p) be the second derivative of 0 + 0*p**4 + 1/8*p**3 - 1/80*p**5 + 1/4*p**2 + 6*p. Factor f(k).
-(k - 2)*(k + 1)**2/4
Suppose 0 = t + 2 + 3. Let x = t - -7. Let 3*k + k**3 - 4*k**3 + 2*k**3 + x = 0. What is k?
-1, 2
Let j(h) be the third derivative of -27*h**6/40 + 15*h**5/4 + 53*h**4/24 + h**3/2 - 79*h**2 + 3*h. Factor j(d).
-(d - 3)*(9*d + 1)**2
Let r(s) be the first derivative of 3/5*s**5 + 9/4*s**4 + 0*s**3 - 13 + 0*s**2 + 0*s. Suppose r(b) = 0. Calculate b.
-3, 0
Let a(u) = -5*u**3 - 83*u**2 - 506*u + 588. Let p(r) = -r**3 - r**2 - r. Let y(n) = a(n) - 2*p(n). Factor y(q).
-3*(q - 1)*(q + 14)**2
Suppose -5*n - 2 = 3*k, 3*n - 2*n = 4*k + 18. Suppose 3*s - 3*s = 3*s. What is a in 0 - 3/2*a**n + s*a = 0?
0
Let w(x) be the third derivative of x**5/330 - 3*x**4/44 + 8*x**3/33 - 105*x**2. Factor w(q).
2*(q - 8)*(q - 1)/11
Let l = 887 - 882. Let h(g) be the first derivative of -6 + 1/5*g**l - 1/8*g**2 + 1/16*g**4 - 1/3*g**3 + 0*g. Find m, given that h(m) = 0.
-1, -1/4, 0, 1
Let s be 0/(4 - 9/3). Let q(u) be the first derivative of -1/9*u**6 + 1/9*u**3 + s*u**4 + 0*u + 0*u**2 - 1/5*u**5 + 4. Factor q(b).
-b**2*(b + 1)**2*(2*b - 1)/3
Suppose -4*v + 12 = 2*v. Suppose -14*n**v - 4*n**3 - 5*n - 14*n**2 - 27*n - 6 + 70 = 0. What is n?
-4, 1
Let v(z) be the third derivative of 1/360*z**6 + 0*z**5 + 0 - 5*z**2 + 1/6*z**3 + 0*z**4 + 0*z. Let s(t) be the first derivative of v(t). Factor s(o).
o**2
Let v(c) be the third derivative of 1/30*c**6 + 0*c**4 + 15*c**2 + 0 - 2/105*c**7 + 0*c**3 + 0*c**5 + 0*c. Let v(x) = 0. What is x?
0, 1
Let w be 2 + (1 - 2) + 6. Suppose -26*s**2 + 20 - 40*s + 6*s**2 - w*s**2 + 2*s**2 = 0. What is s?
-2, 2/5
Let f be 3 + 63/15 + (-9)/15*1. Factor 6*z**2 + 3/5 + f*z.
3*(z + 1)*(10*z + 1)/5
Find f such that -1/2*f**3 - 1/2*f - 1/8*f**4 - 3/4*f**2 - 1/8 = 0.
-1
Suppose 15/4 + 5/2*x**2 + 15/2*x**3 - 25/4*x**4 + 5/4*x**5 - 35/4*x = 0. What is x?
-1, 1, 3
Let z(m) be the third derivative of 1/150*m**6 + 15*m**2 + 1/15*m**4 + 0*m**3 + 0*m - 1/25*m**5 + 0. Suppose z(v) = 0. What is v?
0, 1, 2
Let b(v) be the third derivative of -v**8/112 - 3*v**7/35 - 3*v**6/10 - v**5/2 - 3*v**4/8 - 13*v**2 - 35. Factor b(q).
-3*q*(q + 1)**3*(q + 3)
Suppose i - 9 = -2*i, -8 = -x + i. Suppose -6 = 8*n - x*n. Factor 3/2*c + 3/4 + 3/4*c**n.
3*(c + 1)**2/4
Suppose -23*b + 38 = -8. Let v(w) be the third derivative of 2*w**b - 1/15*w**5 + 0 + 0*w + 0*w**3 - 1/6*w**4 - 1/120*w**6. Factor v(m).
-m*(m + 2)**2
Solve -5*g**5 + 170*g**2 - 93*g - 20*g**4 + 90 + 17*g**3 - 2*g**3 + 318*g + 5*g**3 = 0 for g.
-3, -2, -1, 3
Let v(c) = c**2 - 4*c - 5. Let t be v(-2). What is q in t*q**2 - 4*q**2 + 8 + q**2 - 2*q + 14*q = 0?
-2, -1
Let t(l) = -7*l**5 + 4*l**4 + 5*l**3 - 22*l**2 - 8. Let b(g) = -g**5 + g**3 - g**2 + g - 1. Let v(u) = -40*b(u) + 5*t(u). Factor v(a).
5*a*(a - 2)*(a + 1)**2*(a + 4)
Let o(h) = h**3 - 5*h**2 - 3*h. Let w(z) = z**2 + z. Let i be (5 + (-99)/18)*(-1 + -5). Let c(s) = i*w(s) + o(s). Let c(n) = 0. Calculate n.
0, 2
Let g be ((3/12)/((-3)/(-4)))/2. Let z(p) be the second derivative of 3/10*p**5 + 0 + 1/3*p**4 + 0*p**2 + 1/42*p**7 + 3*p + 2/15*p**6 + g*p**3. Factor z(t).
t*(t + 1)**4
Let l(a) be the second derivative of a + 0*a**4 + 0*a**2 - 1/20*a**5 + 0*a**3 + 0. What is m in l(m) = 0?
0
Let b(m) = 16*m**4 - 42*m**3 - 6*m**2 + 47*m - 10. Let n(a) = -7*a**4 + 21*a**3 + 3*a**2 - 23*a + 4. Let p(r) = -2*b(r) - 5*n(r). Factor p(j).
3*j*(j - 7)*(j - 1)*(j + 1)
Suppose 3*u - 129 = -4*w, -5*w + 141 = -0*u - 3*u. Let r = w + -27. Let 1/5*y**r + 1/5*y**5 - 2/5*y**4 + 0*y + 0*y**2 + 0 = 0. Calculate y.
0, 1
Let b(z) be the third derivative of -z**8/672 + z**7/60 - z**6/40 - 11*z**5/60 + 7*z**4/48 + 5*z**3/4 + 44*z**