= 2/225 - -436/1575. Factor m*t + 30/7*t**3 + 18/7*t**4 + 0 + 2*t**2.
2*t*(t + 1)*(3*t + 1)**2/7
Suppose b = -13 + 15. Let w(q) be the first derivative of 2 + 8/9*q**3 - 1/6*q**4 - 5/3*q**b + 4/3*q. Determine d, given that w(d) = 0.
1, 2
Let z(j) = 2*j**2 - 4*j**2 + 3*j**2 - 1. Let y(n) be the second derivative of n**5/5 - n**4/12 - 7*n**3/6 + 2*n**2 - 3*n. Let d(o) = y(o) + 6*z(o). Factor d(i).
(i - 1)*(i + 2)*(4*i + 1)
Solve -4*h**2 - 2*h**2 - 177*h**4 - 3*h + 183*h**4 + 3*h**5 = 0 for h.
-1, 0, 1
Let r(j) be the first derivative of j**9/9072 - j**7/1260 + j**5/360 + 2*j**3/3 + 1. Let m(q) be the third derivative of r(q). Suppose m(t) = 0. Calculate t.
-1, 0, 1
Let 8 - 14/3*w**2 - 8/3*w - 2/3*w**3 = 0. Calculate w.
-6, -2, 1
Let o be (2/4)/((-1)/(-28)). Let s = -10 + o. Factor 3*z**3 - z**4 - s*z**3 - 2*z**3 - 2*z**2.
-z**2*(z + 1)*(z + 2)
Let f(a) be the first derivative of -a**6/50 + 3*a**5/100 + a**4/20 - a**3/10 - 9*a - 1. Let h(y) be the first derivative of f(y). Solve h(x) = 0 for x.
-1, 0, 1
Let f(m) = -7*m**4 + 9*m**3 + 9*m - 9. Let k(g) = -3*g**4 + 4*g**3 + 4*g - 4. Let d(t) = t**2 + 9. Let r be d(0). Let o(u) = r*k(u) - 4*f(u). Factor o(j).
j**4
Let i = 1 - -5. Let h be (i/(-10))/(1/(-5)). Factor -2/7*m**2 + 10/7*m**h - 8/7*m**4 + 0 + 0*m.
-2*m**2*(m - 1)*(4*m - 1)/7
Let g(l) be the first derivative of -l**7/210 - l**6/75 - l**5/100 - 3*l + 2. Let i(j) be the first derivative of g(j). Factor i(k).
-k**3*(k + 1)**2/5
Let m be 1/((-3)/(-6))*-1. Let a = 0 - m. What is r in -6*r**2 + 0*r**4 - 2*r**5 + 2*r + a*r**2 + 4*r**4 = 0?
-1, 0, 1
Let v(n) be the third derivative of n**6/420 - n**5/42 + 2*n**4/21 - 4*n**3/21 - 41*n**2. Factor v(k).
2*(k - 2)**2*(k - 1)/7
Let h(s) be the second derivative of -5*s**4/12 + 5*s**3/3 + 15*s**2/2 - s. Determine o so that h(o) = 0.
-1, 3
Let f = -149 - -153. Let p(i) be the second derivative of i + 0*i**5 + 0*i**3 + 0 + 1/15*i**6 - 1/6*i**f + 0*i**2. Factor p(u).
2*u**2*(u - 1)*(u + 1)
Determine d, given that -4/3*d + 2/3*d**3 + 0 - 2/3*d**2 = 0.
-1, 0, 2
Let j(n) be the first derivative of n**6/360 - n**5/60 - n**3 + 5. Let g(i) be the third derivative of j(i). Factor g(z).
z*(z - 2)
Let d(w) be the third derivative of 4*w**7/315 + 2*w**6/45 + w**5/18 + w**4/36 - 3*w**2. Factor d(u).
2*u*(u + 1)*(2*u + 1)**2/3
Let t be 15/3 - (-2 + 4). Suppose 3*r - 5*f - 3 - 3 = 0, -t*r = 5*f - 6. Factor 0*k + 2/5*k**r + 0.
2*k**2/5
Let x be (1 - 3)/(1/53). Let u = x - -956/9. Find p such that u*p - 2/9*p**4 - 2/9*p**3 + 2/9*p**2 + 0 = 0.
-1, 0, 1
Suppose -5 + 14 = -2*z + 3*n, -5*n + 15 = 0. Suppose 2/5*v + z - 2/5*v**2 = 0. What is v?
0, 1
Let d = 32 + -32. Suppose -c + 0*c = d. Factor c*s**2 + 3/4*s + 1/2 - 1/4*s**3.
-(s - 2)*(s + 1)**2/4
Suppose -20*j + 25*j = 85. Let m be 1*2 - 0/2. Factor o**3 + o**m - j + 17.
o**2*(o + 1)
Let s be (-21)/15*15/(-4). Let t = s + -5. Factor t*w**2 + 0*w + 0 - 1/4*w**3.
-w**2*(w - 1)/4
Let h(b) be the second derivative of b**6/30 + b**5/10 + b**4/12 + 4*b. Suppose h(f) = 0. Calculate f.
-1, 0
Let a(x) be the second derivative of -x**8/30240 - x**7/1890 - x**6/270 - 2*x**5/135 + x**4/3 - 3*x. Let u(y) be the third derivative of a(y). Factor u(r).
-2*(r + 2)**3/9
Suppose -5*c = -5*n + n + 1357, 2*c = 3*n - 1023. Factor 286*f**2 - 74*f + n*f**5 - 294*f**4 + 6 - 259*f**3 + 2 - 10*f.
(f - 1)*(f + 1)*(7*f - 2)**3
Let g(y) be the first derivative of -y**4/4 + y**2/2 - 5. Suppose g(f) = 0. What is f?
-1, 0, 1
Let d be (3/4)/(5/20). Solve 22*x**2 + 6*x**4 - 2*x - 4 - 16*x**3 - 3*x**3 - d*x**3 = 0.
-1/3, 1, 2
Let k(m) be the third derivative of -m**6/40 + 3*m**5/20 + m**4/8 - 3*m**3/2 + 15*m**2. Let k(i) = 0. What is i?
-1, 1, 3
Let x = 44/95 + -5/19. Let p(u) be the second derivative of 0 - 1/15*u**6 - x*u**5 + u + u**2 + 0*u**4 + 2/3*u**3. Factor p(m).
-2*(m - 1)*(m + 1)**3
Let u(n) = n**3 + 14*n**2 - 14*n + 18. Let f be u(-15). Determine l so that 6*l**2 - 7*l + l - 3*l**f + 3*l**2 = 0.
0, 1, 2
Let f be 6*(-378)/224*8/(-6). Factor 0 - f*k**4 - 6*k**5 - 9/2*k**3 + 9/2*k + 15/2*k**2.
-3*k*(k + 1)**3*(4*k - 3)/2
Let g = -1505 + 10573/7. Let w = g - 106/35. Factor -8/5*v - 8/5*v**3 - 2/5*v**4 - 2/5 - w*v**2.
-2*(v + 1)**4/5
Find z, given that z + 8*z**2 - 2*z**3 - 5*z - 1 + 5 - 6*z = 0.
1, 2
Suppose -12/7*u - 4/7*u**2 - 8/7 = 0. What is u?
-2, -1
Let b(x) be the third derivative of -x**7/1050 + x**6/100 - 3*x**5/100 - 38*x**2. Factor b(n).
-n**2*(n - 3)**2/5
Let k(f) be the second derivative of 0 + 1/10*f**5 + 0*f**2 + 0*f**3 + 1/6*f**4 - 5*f. Find y such that k(y) = 0.
-1, 0
Let d be -5 - -10*(-1)/(-2). Factor d*c - 1/3*c**3 + c**2 - 4/3.
-(c - 2)**2*(c + 1)/3
Let u be 0*((-25)/(-10))/5. Let 2/5*j**2 + 0*j + u = 0. Calculate j.
0
Let b = 1898/3297 - 2/471. Let d be -2*(-5 - 96/(-21)). Let d*f**2 - 8/7*f - 8/7 - 2/7*f**4 + b*f**3 = 0. What is f?
-1, 2
Suppose -3*j + 3 = -2*s - 3, -j = -3*s + 5. Let n(i) = -i**2 + 5*i - 4. Let q be n(s). What is h in 2*h**5 + h - h - q*h**4 = 0?
0, 1
Find n, given that -1/3*n + 0 - 2/3*n**4 + 0*n**3 + 1/3*n**5 + 2/3*n**2 = 0.
-1, 0, 1
Let r be (-3)/9*27/(-3). Factor 6*w**2 - 6 - 24*w**3 + 3*w**r + 6.
-3*w**2*(7*w - 2)
Let x(z) be the second derivative of z**6/20 + z**5/20 - 3*z. Suppose x(w) = 0. What is w?
-2/3, 0
Find h, given that 214*h**4 + 7*h**4 + 9*h + 220*h**4 - 48*h**2 - 21*h + 105*h**3 = 0.
-2/7, 0, 1/3
Let d = 106 + -106. Find m, given that 2/9*m**2 + 2/9*m**3 + d*m + 0 = 0.
-1, 0
Let o(d) be the third derivative of -8*d**7/315 - 7*d**6/90 - 2*d**5/45 + d**4/18 + 11*d**2. Factor o(x).
-4*x*(x + 1)**2*(4*x - 1)/3
Determine b so that 0 - 22/13*b**3 + 4/13*b + 18/13*b**2 = 0.
-2/11, 0, 1
Factor -16*a**2 - 120*a - 19 - 701 + 11*a**2.
-5*(a + 12)**2
Let d be 21/21*(-10)/(-4). Factor -d*r**3 - 1/2*r**4 + 2*r + 4 - 3*r**2.
-(r - 1)*(r + 2)**3/2
Let d = -2269/3 + 767. Determine r so that 16/3*r**4 + 26/3*r + 16/3*r**2 + 4/3 + d*r**5 - 94/3*r**3 = 0.
-2, -1/4, 1
Let x(j) be the third derivative of -1/18*j**4 + 0*j**3 + 0 + 1/90*j**6 - 1/90*j**5 + 1/315*j**7 + 0*j + 3*j**2. Factor x(h).
2*h*(h - 1)*(h + 1)*(h + 2)/3
Factor 0*z + 2/3*z**4 + 1/3*z**3 - 1/3*z**2 + 0.
z**2*(z + 1)*(2*z - 1)/3
Let h be ((-8)/5 + (-3 - -4))/(-1). Factor h*t + 0 + 3/5*t**2.
3*t*(t + 1)/5
Let s(o) = -o**2 + o + 1. Let i(a) = -3*a**2 + 5*a. Let d(l) = -l + 1. Let r(q) = 3*d(q) + i(q). Let y(c) = -r(c) + 2*s(c). Factor y(u).
(u - 1)*(u + 1)
Factor -1/7*r**3 + 0*r + 3/7*r**2 + 0.
-r**2*(r - 3)/7
Let i(f) be the first derivative of -f**8/5880 + f**6/315 + 2*f**3 - 2. Let o(w) be the third derivative of i(w). Determine d so that o(d) = 0.
-2, 0, 2
Let m(u) be the third derivative of u**6/240 + u**5/20 + 11*u**4/48 + u**3/2 + u**2 - 16. Find y such that m(y) = 0.
-3, -2, -1
Let y(u) = 3*u**2 - 7*u - 4. Let w(v) = -2 + 2*v**2 + 7 - 3*v - 7. Let k(p) = 11*w(p) - 6*y(p). Factor k(r).
(r + 2)*(4*r + 1)
Let z(y) = -6*y**3 + 3*y**2 - 3*y - 3. Let p(f) = 5*f**3 - 3*f**2 + 2*f + 2. Let i(l) = 3*p(l) + 2*z(l). Solve i(k) = 0 for k.
0, 1
Let t(l) = 5*l**4 - 15*l**3 + 15*l**2 - 5*l - 10. Let q(z) = -1. Let r(v) = -10*q(v) + t(v). Factor r(a).
5*a*(a - 1)**3
Let n = -7 - -16. Factor 10*h**4 + 14*h**2 + 9 + 18*h**3 + 2*h**5 + 4*h - n.
2*h*(h + 1)**3*(h + 2)
Factor -5*j + 5*j**5 + 4*j**4 + 6*j**4 - 9*j**2 - j**2.
5*j*(j - 1)*(j + 1)**3
Let b(x) be the first derivative of -2*x**5/25 + x**4/10 + 2*x**3/15 - x**2/5 - 11. Factor b(t).
-2*t*(t - 1)**2*(t + 1)/5
Let d(h) be the first derivative of 6*h + 1 - 3*h**2 + 1/2*h**3. Suppose d(c) = 0. What is c?
2
Factor 0*t**2 - 2/13*t**3 + 6/13*t - 4/13.
-2*(t - 1)**2*(t + 2)/13
Let b = -14 + 24. Suppose 4*x + 4*k = 4, -2*x + 6*x = -5*k + 2. Factor -10*v + 6*v**2 + b*v - 2 + 4*v**x.
2*(v + 1)**2*(2*v - 1)
Let t(v) be the second derivative of v**7/2520 + v**6/1080 - v**5/180 - v**3/2 - v. Let r(m) be the second derivative of t(m). Solve r(z) = 0 for z.
-2, 0, 1
Let x(a) be the first derivative of -2*a**3/9 + 4*a**2/3 - 8*a/3 + 2. Factor x(j).
-2*(j - 2)**2/3
Suppose -n - 6 = 2*n - 3*o, 2*n = -o + 8. Let l be (-2)/(1/n*-5). Suppose 21/5*p**5 - 8/5*p + 7/5*p**3 - 43/5*p**4 - l + 27/5*p**2 = 0. Calculate p.
-2/3, -2/7, 1
Let l(r) be the third derivative of 3/5*r**3 + 0*r + 1/10*r**4 + 1/150*r**5 + 0 - 3*r**2. Factor l(d).
2*(d + 3)**2/5
Let c(x) = 6*x**4 - 15*x**3 