 6*k**4 - 2*k**4 = 0. Calculate k.
-1, 2
Let l(h) be the third derivative of h**5/15 - 49*h**4/6 - 100*h**3/3 + h**2 + 21. Factor l(p).
4*(p - 50)*(p + 1)
Suppose -5*h - 5*d = -2*d - 13, 5*d - 5 = 0. Let b(c) be the third derivative of 0 + 5*c**h + 2/7*c**3 + 0*c - 19/84*c**4 + 1/14*c**5. Factor b(m).
2*(3*m - 2)*(5*m - 3)/7
Let k(q) be the first derivative of -q**4/4 + 22*q**3/9 - 37*q**2/6 + 10*q/3 - 498. Factor k(f).
-(f - 5)*(f - 2)*(3*f - 1)/3
Let m(c) be the third derivative of c**5/120 + 13*c**4/48 + 11*c**3/6 - 47*c**2 + 4*c. Solve m(h) = 0.
-11, -2
Suppose -4*j = -2*i + 20, 45 = 4*i - 4*j + 5. Suppose -i*m + 6*m = 0. Factor 0*z**2 + 1/4*z**3 + m*z - 1/2*z**4 + 1/4*z**5 + 0.
z**3*(z - 1)**2/4
Let p be ((-18)/90)/(3/(-110)) + -7. Let 2/3*g**2 - 3 + 4/3*g**3 - 4*g - p*g**4 = 0. Calculate g.
-1, 3
Let w be (-6)/6 + 5/(-4 + 5). Find b, given that 0 - 1/2*b**3 + b**w + 1/2*b**5 + 0*b - b**2 = 0.
-2, -1, 0, 1
Let y(s) = 11*s**2 + 44*s - 10. Let i(o) = -7*o**2 - o - 1. Let m(w) = 4*i(w) + 4*y(w). Suppose m(p) = 0. What is p?
-11, 1/4
Let h be ((-3)/(-2))/((-87)/58) - -5. Let c(y) be the first derivative of -4/33*y**3 + 0*y + 1/11*y**2 - 13 + 1/22*y**h. Factor c(i).
2*i*(i - 1)**2/11
Let g(w) = 2*w**2 + 26*w + 24. Let r(a) = -11 + 3*a**2 - 13*a - 4*a**2 + 4*a + 3. Let f(h) = -5*g(h) - 14*r(h). Factor f(z).
4*(z - 2)*(z + 1)
Find v such that -20*v**5 - 4*v + 1573*v**2 - 1542*v**2 - v**3 - 35*v**3 - 91*v**4 = 0.
-4, -1, 0, 1/5, 1/4
Let q(f) = -3*f**2 - 3*f + 6. Let o be (-120)/(-8)*2/(-6). Let l(k) = -4*k**2 - 3*k + 7. Let s(w) = o*q(w) + 4*l(w). Solve s(v) = 0 for v.
1, 2
Suppose -54 + 39 = -5*q. Solve -31*k**4 + 15*k**4 + 84*k**q - 16 - 148*k**2 + 127*k - 31*k = 0.
1/4, 1, 2
What is g in 8/5*g**5 + 0 + 4/5*g - 24/5*g**3 - 2*g**2 - 2/5*g**4 = 0?
-1, 0, 1/4, 2
Let p(i) be the second derivative of 25*i + 0 - 2/3*i**4 - 1/4*i**2 - 2/3*i**3. Find q such that p(q) = 0.
-1/4
Let m be (-6)/(-12)*-6*5/(-225). Let n(h) be the first derivative of -1/3*h + 1/3*h**2 + 0*h**3 + m*h**5 + 3 - 1/6*h**4. Find p, given that n(p) = 0.
-1, 1
Suppose -59*z + 67 = -51. Find m, given that 1/2*m**z - m**3 + 0 - 1/2*m**4 + m = 0.
-2, -1, 0, 1
Let u = -1885/21 + 271/3. Factor 0*m - 8/7*m**2 + u*m**3 + 0.
4*m**2*(m - 2)/7
Let n(g) be the third derivative of g**5/90 - 11*g**4/6 + 121*g**3 - 41*g**2. Find j, given that n(j) = 0.
33
Suppose -7*d + 7 = -3 - 4. Find q, given that 0 + 0*q - 2*q**3 + 4/7*q**d = 0.
0, 2/7
Factor -4*b**4 - 59*b**3 - 17*b**3 + 20*b**4 - 24*b**3 - 2*b**5 + 6*b**5 - 112*b**2.
4*b**2*(b - 4)*(b + 1)*(b + 7)
Let q(v) = v**3 + 6*v**2 + 2*v + 12. Let y be q(-6). Factor -2*j + 3*j**3 + y*j + j**2 + 3*j**3 - 5*j**3.
j*(j - 1)*(j + 2)
Let q(w) = 141*w**4 - 4*w + 0*w + 4 - 142*w**4 + 2*w**3 + 3*w**5. Let a(d) = 4*d**5 - 2*d**4 + 3*d**3 - 5*d + 5. Let u(z) = 4*a(z) - 5*q(z). Factor u(s).
s**3*(s - 2)*(s - 1)
Let s(z) be the second derivative of -z**5/60 - 31*z**4/36 + 65*z**3/18 - 11*z**2/2 + 2*z - 131. Suppose s(a) = 0. What is a?
-33, 1
Let d(f) be the first derivative of -f**3 - 48*f**2 + 133. Factor d(g).
-3*g*(g + 32)
Let z(o) be the second derivative of -o**8/2240 - o**7/420 - o**6/240 + 5*o**4/6 - 8*o. Let b(a) be the third derivative of z(a). Factor b(m).
-3*m*(m + 1)**2
Let q(u) = 2*u**2 + 3. Let l(v) = 12*v**2 + 16*v - 51. Let c(z) = -l(z) + 5*q(z). Factor c(f).
-2*(f - 3)*(f + 11)
Let b(p) be the first derivative of -53*p**5/15 - 211*p**4/12 - 208*p**3/9 + 2*p**2/3 + 102. Factor b(a).
-a*(a + 2)**2*(53*a - 1)/3
Let n(s) = 4*s**2 - 20*s + 16. Let f(r) = 2*r**2 - 10*r + 8. Let d(q) = 2*q**2 - 2*q - 1. Let j be d(3). Let y(c) = j*f(c) - 6*n(c). Find w such that y(w) = 0.
1, 4
Let t = 22/135 + 1/27. Suppose -3*f + 2*u + 17 = 0, -f + 7*u - 2*u = -23. Factor t*m**4 + 1/5*m**f + 0*m**2 + 0 + 0*m.
m**3*(m + 1)/5
Solve -3/2*k**3 - 30*k**2 + 129/2*k - 33 = 0.
-22, 1
Suppose 4*b + 16 = 4*l, 3*b = 4*b + 2. Let j be (3/(-9))/(4 + (-84)/20). What is k in 1/3*k**3 - 4/3*k**l + j*k - 2/3 = 0?
1, 2
Let k(j) = 20*j**2 - 68*j**2 + 22*j**2 + j**3 + 16*j**2. Let m be k(10). Factor 0 + m*h - 3/8*h**3 - 3/4*h**2.
-3*h**2*(h + 2)/8
Suppose -2*t + 9 + 3 = 0. Suppose -f - 20 = -t*f. Factor 12*a**3 + f*a**4 + 4*a**2 - 8*a**2 + 12*a**2.
4*a**2*(a + 1)*(a + 2)
Factor 0*g + 1/5*g**4 + 0 - 6/5*g**2 + 1/5*g**3.
g**2*(g - 2)*(g + 3)/5
Let u = -403 - -807/2. Let d(s) = s - 1. Let k be d(3). Find l such that -1/2*l**3 + 0*l**k + u*l + 0 = 0.
-1, 0, 1
Suppose 0 = 2356*w - 2134*w. Factor 2/3*i**3 + 2/3*i**2 + 2/9*i**4 + w + 2/9*i.
2*i*(i + 1)**3/9
Let a = -858 + 860. Determine h so that 20/7*h + 4/7*h**a + 16/7 = 0.
-4, -1
Let s(w) be the first derivative of w**5/20 - w**3/3 + 27. Factor s(h).
h**2*(h - 2)*(h + 2)/4
Suppose 97850 + 6*f**2 + 7*f**2 + 118470 - 4*f**2 - 4*f**2 - 2080*f = 0. What is f?
208
Let g = 319 + -313. Let p(a) be the third derivative of 0*a + 3/20*a**5 + 0 + 0*a**3 - 1/20*a**g - 2*a**2 + 0*a**4 + 1/210*a**7. Find t such that p(t) = 0.
0, 3
Let q(v) = -94*v**3 - 180*v**2 - 148*v - 6. Let i(t) = -19*t**3 - 36*t**2 - 30*t - 1. Let f(m) = 14*i(m) - 3*q(m). Factor f(u).
4*(u + 1)**2*(4*u + 1)
Let u(i) = 4*i**2 + 7*i + 7. Let v(r) = 2*r**2 + 4*r + 4. Let m = -18 + 20. Let c = -6 + m. Let z(j) = c*u(j) + 7*v(j). Find x such that z(x) = 0.
0
Let x = -14039/5 + 2808. Factor 9/5*q**3 + 4/5*q**5 - x*q + 1/5*q**2 + 11/5*q**4 + 0.
q*(q + 1)**3*(4*q - 1)/5
Suppose 3*f = -4*u + 2*f + 2, -u + 4*f + 9 = 0. Let k(g) = -3*g**2 + 5*g. Let q be k(u). Let 1/4 + 0*y - 1/4*y**q = 0. Calculate y.
-1, 1
Suppose 2/13*g**3 - 288/13 + 336/13*g - 50/13*g**2 = 0. Calculate g.
1, 12
Let u(j) be the third derivative of -j**8/30240 + j**7/2520 - j**6/540 + j**5/5 - 9*j**2. Let d(i) be the third derivative of u(i). Suppose d(a) = 0. What is a?
1, 2
Let z(n) = -n**3 + 10*n**2 - 15*n - 28. Let i(t) = 3*t**3 - 18*t**2 + 29*t + 55. Let a(r) = 2*i(r) + 5*z(r). Determine u so that a(u) = 0.
-15, -1, 2
Let b = 110 - 60. Suppose -5*z = 5*c - b, 2 = 3*c - c. Factor -z - 2 - 35*l - 5*l**4 - 2*l**3 + 1 - 23*l**3 - 45*l**2.
-5*(l + 1)**3*(l + 2)
Suppose 10 + 18 - 1 + 3*u**3 + 33*u - 17 + 8 + 18*u**2 = 0. Calculate u.
-3, -2, -1
Let z be (-4)/112*2*-7. Factor 1/4*h**3 - 3/4*h**2 + 1/4 + z*h**4 - 1/4*h.
(h - 1)*(h + 1)**2*(2*h - 1)/4
Suppose 3 - 11 = p. Let u = 17/2 + p. Factor u*w - 1/2*w**3 + 1/2*w**2 - 1/2.
-(w - 1)**2*(w + 1)/2
Let x(o) be the first derivative of -o**3/3 - 9*o**2/2 + 12*o + 4. Let n be x(-10). Let 5*p**3 + p**3 - 2*p**3 - n*p**4 = 0. Calculate p.
0, 2
Let l(q) = -2*q + 22. Let k be l(9). Suppose -2*o + 3*b = -6*o - k, 0 = -3*b - 12. Let 1/2*n**4 - 1/4*n - n**o + 1/2 - 1/4*n**5 + 1/2*n**3 = 0. Calculate n.
-1, 1, 2
Let 36 + 5*x - 21 + 11*x**2 + x**4 - 15 + 7*x**3 = 0. What is x?
-5, -1, 0
Let j(b) = 6*b + 20*b**2 + 2 - 2*b - 2. Let k(f) = -f**2 - f. Let i(s) = 95*s**2 + 14*s. Let m(d) = i(d) - 6*k(d). Let c(a) = -11*j(a) + 2*m(a). Factor c(p).
-2*p*(9*p + 2)
Let x(p) = p**2 - 12*p + 2. Let g be x(12). Suppose -3*u = n - 5, -5*u - 11 + 1 = -g*n. Find o such that 3*o**3 - o**2 + u*o**3 - 3*o + 3*o**4 - 2*o**2 = 0.
-1, 0, 1
Determine y so that 16 - 100/3*y**4 + 8*y**5 - 68/3*y**2 - 256/3*y**3 + 112/3*y = 0.
-1, -1/2, 2/3, 6
Let l(s) be the third derivative of s**5/90 + 211*s**4/18 + 44521*s**3/9 - 607*s**2. Let l(x) = 0. What is x?
-211
Find y, given that -107811/7 - 297/7*y**2 - 3/7*y**3 - 9801/7*y = 0.
-33
Let m(v) be the second derivative of -1/57*v**3 + 0 + 0*v**4 + 0*v**2 - 11*v + 1/190*v**5. Factor m(x).
2*x*(x - 1)*(x + 1)/19
Let n = 83 + 19. Let f be (n/12)/(3/6). Find j such that 6*j + 34*j**2 - 19*j**2 - f*j**2 = 0.
0, 3
Let p be ((-6)/5)/(14/(-35)). Suppose -6*o**4 + 184 - p*o**5 - 184 + 6*o**2 + 3*o = 0. Calculate o.
-1, 0, 1
Let z(d) be the second derivative of -d**5/120 + d**4/18 + 11*d**3/36 + d**2/2 + 3*d - 4. Factor z(f).
-(f - 6)*(f + 1)**2/6
Suppose 0 = 3*j + 5*h - 14, -2*j - j - 2*h = -11. Let n = j - 1. What is m in 0*m + 3/4*m**3 + 0 - 3/4*m**n = 0?
0, 1
Let s(m) be the first derivative of -11/18*m**3 + 0*m - 1/6*m**2 - 3. Suppose s(n) = 0. Calculate n.
-2/11, 0
Let s(x) be the first derivative of -x**4/78 - x**3/39 - x + 20. Let b(m) be the first derivative of s(m). Factor b(g).
-2*g*(g + 1)/13
Let z(l) be the second derivative of -l**4/60 - 92*l**3/15 - 4232*l**2/5 