6/5*h.
3*(h - 3)*(h + 1)/5
Suppose 4*r = 8*y - 7*y + 16, -4*y = -r + 4. Let w(f) be the first derivative of -1/12*f**4 + 0*f**3 + y*f - 2 + 1/6*f**2. Find l such that w(l) = 0.
-1, 0, 1
Suppose 0 = 5*w, -5*w - 50 = -3*z - 2*z. Find m such that -15*m**4 - 12*m**2 - 11*m**3 - 15*m**3 - z*m**3 = 0.
-2, -2/5, 0
Let n(k) be the first derivative of 0*k**2 - 1/1080*k**6 + 0*k - k**3 - 1/360*k**5 + 7 + 1/36*k**4. Let p(y) be the third derivative of n(y). Factor p(u).
-(u - 1)*(u + 2)/3
Let t = 57 + -34. Let f = 25 - t. Factor 0*g - 2/5*g**3 + 2/5*g**f - 2/5*g**4 + 0 + 2/5*g**5.
2*g**2*(g - 1)**2*(g + 1)/5
Let f = -2533/90 - -141/5. Let a(d) be the first derivative of -3 + 2/9*d + f*d**4 - 1/9*d**2 - 2/27*d**3. Let a(j) = 0. What is j?
-1, 1
Let k(o) be the first derivative of -3*o**5/5 - 3*o**4/4 + 5*o**3 - 9*o**2/2 - 74. Factor k(l).
-3*l*(l - 1)**2*(l + 3)
Let g(y) be the second derivative of 14/15*y**6 - 8/21*y**7 - 10*y - 1/4*y**2 + 23/24*y**3 - 83/48*y**4 + 17/20*y**5 + 0. Find x such that g(x) = 0.
-1, 1/4, 2
Let i(n) be the first derivative of -3/20*n**2 - 1/15*n**3 + 12 - 1/10*n. Factor i(q).
-(q + 1)*(2*q + 1)/10
Determine u so that -4/5 + 2/5*u + 4/5*u**2 - 2/5*u**3 = 0.
-1, 1, 2
Let m be 10*(10426/(-455) - -23). Factor m*f**2 + 3/7*f**3 + 0*f + 0.
3*f**2*(f + 2)/7
Let o = 43 + -23. Let h be 3/(-5)*o/8 + 2. Solve -h - 1/2*v**2 - v = 0.
-1
Let m = 2 - 2. Suppose 0 = v - m - 2. Factor 3*u - 3 + 7*u**3 - 10*u**3 - u**v + 4.
-(u - 1)*(u + 1)*(3*u + 1)
Let i = -96/17 - -497/85. Let n(p) be the first derivative of -p**2 + i*p**5 + 4 + 5/3*p**3 + 0*p - p**4. Factor n(v).
v*(v - 2)*(v - 1)**2
Let -1085*u**2 + 15 - 6*u**3 - 4*u**3 - 12*u + 1060*u**2 + 32*u = 0. Calculate u.
-3, -1/2, 1
Let z = 264 + -184. Let u = 408/5 - z. Factor u*c**2 + 8/5*c - 6/5*c**3 + 0.
-2*c*(c - 2)*(3*c + 2)/5
Let a = -100 - -152. Let n = 52 - a. Factor 0 - 1/2*f**3 + 0*f**2 + n*f + 0*f**4 + 1/2*f**5.
f**3*(f - 1)*(f + 1)/2
Suppose 0*b = 3*b - 6. Find s, given that 4*s**4 + b*s - 12*s**3 + 7*s + 7*s = 0.
-1, 0, 2
Let k = -1447 - -1447. Let r = -47/14 - -41/7. Factor 0*v + k*v**2 + 0 + 5/2*v**4 - r*v**3.
5*v**3*(v - 1)/2
Find f such that 18/7 + 24/7*f**3 + 60/7*f**2 + 8*f + 2/7*f**4 = 0.
-9, -1
Factor 185*h**2 - 377*h**2 + 76*h**2 - 784 - 896*h - 4*h**3.
-4*(h + 1)*(h + 14)**2
Let l(v) be the second derivative of -v**5/4 - 125*v**4/12 - 715*v**3/6 + 845*v**2/2 - 119*v + 1. Let l(z) = 0. What is z?
-13, 1
Let h(c) be the third derivative of -c**5/120 + 3*c**4/4 - 27*c**3 + 3*c**2 - c. Find i, given that h(i) = 0.
18
Solve 51/7*h**4 - 3/7*h**5 - 186/7*h**3 - 42*h**2 + 27*h + 243/7 = 0 for h.
-1, 1, 9
Find m such that 6*m - 109*m**2 - 121*m**2 + 228*m**2 = 0.
0, 3
Let o = 395/3 + -131. Let s(c) be the first derivative of 4*c**2 + 8 + 6*c + o*c**3. Factor s(u).
2*(u + 1)*(u + 3)
Let r(s) be the second derivative of -1/2*s**5 + 0 + 0*s**2 + 10*s + 2/3*s**4 + 2/15*s**6 - 1/3*s**3. Factor r(m).
2*m*(m - 1)**2*(2*m - 1)
Let y(m) be the third derivative of m**9/15120 + m**8/720 + 2*m**7/315 - 4*m**6/45 + m**5/30 - 3*m**2. Let r(z) be the third derivative of y(z). Factor r(k).
4*(k - 1)*(k + 4)**2
Let d(s) = 41*s + 3 - 23*s**2 + 28*s**2 + 33. Let b(a) = -3*a**2 - 27*a - 24. Let m(z) = -7*b(z) - 5*d(z). Suppose m(n) = 0. What is n?
-3, -1
Let c be 7 - 3 - 5 - -3. Let v(p) be the second derivative of 1/6*p**4 + 1/3*p**3 + 3*p + 0*p**c + 0. Find x, given that v(x) = 0.
-1, 0
Let g(d) be the third derivative of -d**5/420 + 17*d**4/168 - 26*d**3/21 - 2*d**2 + 99*d. Factor g(n).
-(n - 13)*(n - 4)/7
Let z(j) be the third derivative of -23*j**5/105 - 71*j**4/42 - 4*j**3/7 + 22*j**2. Determine o so that z(o) = 0.
-3, -2/23
Suppose 3*c - 96 + 18 = 0. Let m be (-24 + c)*(-6)/(-4). Factor -2*o**m - 18/7*o**2 - 4/7*o**4 - 2/7 - 10/7*o.
-2*(o + 1)**3*(2*o + 1)/7
Let l(a) be the third derivative of a**8/43680 - a**7/1820 + a**6/195 - 4*a**5/195 - 7*a**4/8 + 6*a**2. Let y(d) be the second derivative of l(d). Factor y(t).
2*(t - 4)**2*(t - 1)/13
Let h(j) be the first derivative of -3*j**4/4 - 6*j**3 + 81*j**2/2 + 27. Determine a, given that h(a) = 0.
-9, 0, 3
Suppose -208/17*p - 5408/17 - 2/17*p**2 = 0. What is p?
-52
Let k(u) be the second derivative of -u**8/8400 + u**6/900 - u**4/120 - 5*u**3/6 + 16*u. Let j(a) be the second derivative of k(a). Let j(g) = 0. Calculate g.
-1, 1
Let n(z) = -2*z**3 + 80*z**2 - 4. Let s(a) = -a**3 + 79*a**2 - 3. Let r(b) = 3*n(b) - 4*s(b). Determine d, given that r(d) = 0.
-38, 0
Suppose 0 = 10*t - 9*t + 5. Let x(g) = -g**2 - 6*g - 1. Let u be x(t). Determine m, given that -3*m**2 - m**2 - 28*m + 13*m + 11*m + 4*m**4 + u*m**3 = 0.
-1, 0, 1
Factor 104/5*g + 52/5*g**2 + 32/5 - 4*g**3.
-4*(g - 4)*(g + 1)*(5*g + 2)/5
Let i(g) be the third derivative of 1/48*g**4 + 0 - 1/210*g**7 + 2*g**2 + 0*g + 0*g**6 - 1/672*g**8 + 0*g**3 + 1/60*g**5. Find j, given that i(j) = 0.
-1, 0, 1
Suppose 0 = 4*z + 3*i - 7 - 8, -3*i = -6*z - 15. Let 0*u**2 + z*u + 2/5*u**3 - 2/5*u**5 + 0*u**4 + 0 = 0. Calculate u.
-1, 0, 1
Let g = 7285/8316 - -25/756. Factor 2/11*s**3 + 40/11 - g*s**2 - 8/11*s.
2*(s - 5)*(s - 2)*(s + 2)/11
Let k = -140 - -146. Suppose 15*l - 6 + k = 0. Find p such that -2/13*p**3 + l*p + 6/13*p**2 + 0 = 0.
0, 3
Let s(l) be the second derivative of 5/12*l**4 + 25/3*l**3 + 125/2*l**2 + 6*l + 0. Suppose s(h) = 0. Calculate h.
-5
Let y(x) = 7*x**5 - 14*x**4 + x**3 + 3*x**2 + 3. Let v(r) = -24*r**5 + 44*r**4 - 4*r**3 - 8*r**2 - 8. Let z(s) = 3*v(s) + 8*y(s). Factor z(o).
-4*o**3*(o - 1)*(4*o - 1)
Let k = 1629 - 1629. Factor k*b**2 - 1/4*b**3 + 0 + 1/4*b.
-b*(b - 1)*(b + 1)/4
Let t(g) = 2*g**4 + 8*g**3 + 6*g**2. Let h(c) = 7*c**4 + 31*c**3 + 24*c**2 + c + 1. Let q be -18*(8 - 3)/(-10). Let f(l) = q*t(l) - 2*h(l). Factor f(u).
2*(u + 1)**3*(2*u - 1)
Let u be 3/6*(-2 - 12). Let w = u + 10. Factor -6*m**2 + w*m + 9*m**2 + 0*m.
3*m*(m + 1)
Let v(f) be the second derivative of -f**7/420 + f**6/60 - f**5/24 + f**4/24 - 3*f**2/2 + 11*f. Let r(y) be the first derivative of v(y). Solve r(h) = 0 for h.
0, 1, 2
Let s(p) = p**3 + 10*p**2. Let m be s(-10). Suppose 4*x - x = -2*v + 10, m = v - 2. Factor 4/3 + 10/3*h - 2/3*h**3 - 2/3*h**4 + x*h**2.
-2*(h - 2)*(h + 1)**3/3
Let f(n) be the first derivative of 7/9*n**4 + 1/9*n**6 + 2/9*n + 15 - 22/45*n**5 - 4/9*n**3 - 1/9*n**2. Factor f(u).
2*(u - 1)**4*(3*u + 1)/9
Suppose 38*x - 39*x + 26 = 0. Factor 39*h**3 - 7*h**2 + 6*h - x*h**2 - 36*h**4 + 24*h**4.
-3*h*(h - 2)*(h - 1)*(4*h - 1)
Let i = -41 - -41. Let g be ((-11)/(-11))/(3 + i). Factor 2/3 - 1/3*s - 2/3*s**2 + g*s**3.
(s - 2)*(s - 1)*(s + 1)/3
Let l be (-2)/(-3)*30/5. Solve 0*h**l - 11*h**4 - 20*h**2 - 14*h**4 + 60*h**3 = 0 for h.
0, 2/5, 2
Let a(f) be the second derivative of -1/40*f**5 + 0 - 23*f + 0*f**2 + 1/24*f**4 + 0*f**3. Factor a(q).
-q**2*(q - 1)/2
Let v(s) = -5*s**4 - 9*s**3 + 125*s**2 - 243*s + 144. Let p(h) = 4*h**4 + 10*h**3 - 124*h**2 + 246*h - 144. Let d(b) = -6*p(b) - 4*v(b). What is j in d(j) = 0?
-12, 1, 2, 3
Let h(o) be the second derivative of o**5/20 + o**4/6 - o**3/6 - o**2 + 538*o. Let h(l) = 0. Calculate l.
-2, -1, 1
Let z(n) = -n**2 - 57*n - 112. Let h(u) = 3*u**2 + 60*u + 111. Let d(y) = 2*h(y) + 3*z(y). Factor d(p).
3*(p - 19)*(p + 2)
Suppose 0 = 6*c - c. Let t(m) = -193*m - 2119. Let i be t(-11). Factor c*b**2 - 4/9*b**3 + 4/9*b - 2/9*b**i + 2/9.
-2*(b - 1)*(b + 1)**3/9
Let c = 1 + -4. Let b(p) = p**2 - 2*p - 5. Let v be b(c). Suppose -4*g**3 + 7*g - 3*g + v*g**4 - 6*g**4 - 4*g**2 = 0. Calculate g.
-1, 0, 1
Let o(m) be the second derivative of -m**4/3 + 5*m**3/3 - 6*m**2 - 39*m. Let v(k) = -8*k**2 + 19*k - 26. Let s(x) = 5*o(x) - 2*v(x). Factor s(w).
-4*(w - 2)*(w - 1)
Suppose -n + 11 = -4*q + 21, -4*n = 3*q - 17. Let d(f) be the third derivative of 0 + f**n + 5/3*f**3 + 5/8*f**4 + 1/12*f**5 + 0*f. Factor d(w).
5*(w + 1)*(w + 2)
Suppose 24 - 1 + 29 = 13*m. Find k such that -4/3*k**5 + 4/3*k**2 - 4*k**3 + m*k**4 + 0 + 0*k = 0.
0, 1
Let u(x) be the third derivative of 0*x**4 + 1/40*x**5 + 0*x**3 + 3/140*x**7 + 0 - 8*x**2 + 0*x - 1/224*x**8 - 3/80*x**6. What is r in u(r) = 0?
0, 1
Suppose -291*i = -153*i - 147*i. Let v be (-2)/(-5) + (-38)/(-5). Factor i*x - v*x**2 + 0*x**3 - 5*x - 4 - 2*x**3 - 5*x.
-2*(x + 1)**2*(x + 2)
Determine h, given that 6/5*h**3 - 8/5*h**2 + 9/5