 54*j - 12*j**2 = 0 for j.
-4, -2, 0
Let m be 38000/(-4400) + ((-6)/3 - -11). Let -2/11*f**2 + m - 2/11*f = 0. What is f?
-2, 1
Suppose 2*d + 0*d - 18 = 0. Let t(s) = -s**2 + 9*s + 3. Let z be t(d). Solve 0*g**2 + 2*g**2 + 1 - z + 0 = 0.
-1, 1
Suppose 17*w + 5*w = 5*w + 68. Let -2/3*r**5 + 0*r + 0*r**2 - 2/3*r**w + 0 + 0*r**3 = 0. Calculate r.
-1, 0
Let q(z) be the first derivative of 3*z**4/8 + 5*z**3/2 + 9*z**2/4 - 27*z/2 + 418. Factor q(r).
3*(r - 1)*(r + 3)**2/2
Let i(w) be the first derivative of -27*w**6/2 + 486*w**5/5 + 27*w**4/2 - 100*w**3 - 141*w**2/2 - 18*w - 34. Let i(a) = 0. Calculate a.
-1/3, 1, 6
Suppose 4*z + z + 4*p - 128 = 0, 5*z + 3*p = 126. Suppose 23*h = z*h - 2. Factor 1/4*g - 1/4*g**h + 0.
-g*(g - 1)/4
Let i be 21/((-945)/(-18)) + 4/(-10). Let v(n) be the first derivative of i*n + 9 + 1/4*n**3 + 1/8*n**2. Let v(g) = 0. What is g?
-1/3, 0
Let g(i) = -3*i**2 + 162*i - 2025. Let t(y) = 3*y**2 - 160*y + 2026. Let a(p) = -2*g(p) - 3*t(p). Suppose a(u) = 0. Calculate u.
26
Let n be 2/((-90)/43) + 1. Let t(u) be the first derivative of 2 + 1/9*u**4 + 0*u**2 + 0*u - 2/27*u**3 - n*u**5. Factor t(g).
-2*g**2*(g - 1)**2/9
Let t = -21/281 - -18173/2529. Let z be (-13394)/(-1332) + (-26)/4. Let z*b**3 - t*b**2 + 4/9 - 2/9*b = 0. What is b?
-1/4, 1/4, 2
Let h(g) be the first derivative of -2*g**3/33 + 127*g**2/11 - 252*g/11 - 289. Let h(p) = 0. What is p?
1, 126
Let g = -168650834483/2228 - -75696067. Let a = g + -2/557. Factor -1/4*j**4 - 2*j**2 + 0 + a*j**3 + j.
-j*(j - 2)**2*(j - 1)/4
Let b(p) be the third derivative of -13*p**2 - 1/12*p**5 + 5/12*p**4 - 1/24*p**6 + 0*p + 0 + 0*p**3. Solve b(a) = 0 for a.
-2, 0, 1
Let v(w) = -8*w**3 - 40*w**2 + 828*w - 820. Let t(z) = -z**3 - 6*z**2 + 118*z - 117. Let j(y) = 20*t(y) - 3*v(y). Let j(g) = 0. Calculate g.
-6, 1, 5
Let r(d) be the third derivative of -d**7/840 - d**6/480 + 13*d**5/240 + d**4/96 - d**3/2 - 9*d**2 + 6*d. Find m such that r(m) = 0.
-4, -1, 1, 3
Factor -3/2*h**3 + 6*h**2 + 0 - 9/2*h.
-3*h*(h - 3)*(h - 1)/2
Let p be (-1 + 4)/12 - 78/(-8). Determine b so that 13 + 7*b**4 - 6*b**2 - p - 4*b**4 = 0.
-1, 1
Suppose -2*i - 60 = 2*a, 0*i - 5*a - 98 = 3*i. Let n = 46 + i. Let 24*k - k**2 - n*k - k**2 = 0. What is k?
0, 2
Let l(i) = -2*i**5 - 10*i**4 + 4*i**3 + 4*i**2 - 4*i. Let m(p) = -8*p**5 - 42*p**4 + 17*p**3 + 15*p**2 - 18*p. Let z(x) = -9*l(x) + 2*m(x). Factor z(j).
2*j**2*(j - 1)*(j + 1)*(j + 3)
Let x(s) be the first derivative of 4*s**5/5 - 6*s**4 + 12*s**3 - 8*s**2 + 43. Factor x(f).
4*f*(f - 4)*(f - 1)**2
Suppose 375 = -6*h - 255. Let r = h - -110. Suppose 0 + 0*k**4 + 0*k + 0*k**2 + 1/4*k**3 - 1/4*k**r = 0. Calculate k.
-1, 0, 1
Find k, given that -176473 - 12*k**2 + 176473 - 96*k**3 + 243*k**5 - 135*k**4 = 0.
-2/9, 0, 1
Suppose 0 = -o + m - 228, -3*o - 2*o + 2*m = 1131. Let n be 2/5 - 60/o. Determine a so that -2/3*a - n - 5/6*a**3 + 13/6*a**2 = 0.
-2/5, 1, 2
Suppose 5*l - 2*w - 15 = -3*w, 5*l + 2*w = 15. Factor 5*p**2 - 10*p + 7*p**l - 2 + 0*p**2 + 3*p**3 - 3.
5*(p - 1)*(p + 1)*(2*p + 1)
Let z = 43/25 + -253/150. Let m(r) be the third derivative of z*r**5 + 0*r - 1/140*r**7 - 4*r**2 + 0 - 1/48*r**6 + 0*r**3 + 1/12*r**4. Factor m(w).
-w*(w - 1)*(w + 2)*(3*w + 2)/2
Let s be 0*-4*1/4. Let n(v) be the third derivative of 0*v**3 + s*v + 1/60*v**4 + 0 - 1/75*v**5 - 5*v**2 + 1/300*v**6. Let n(p) = 0. What is p?
0, 1
Let l(c) be the third derivative of c**6/24 - c**5/3 - 75*c**4/8 + c**2 - 201. Determine n, given that l(n) = 0.
-5, 0, 9
Let v(z) be the second derivative of -z**9/2352 - z**8/3920 + z**7/980 - 5*z**3/2 + 41*z. Let i(c) be the second derivative of v(c). Factor i(k).
-3*k**3*(k + 1)*(3*k - 2)/7
Let x = -106 - -108. Let m be 1*((-3)/(-4) - x/8). Factor -1/4*r**2 + 0 + 1/4*r**3 - m*r.
r*(r - 2)*(r + 1)/4
Suppose 22*n - 1 + 1 = -19*n. Solve n - 4/7*z**4 + 0*z + 8/7*z**3 - 4/7*z**2 = 0 for z.
0, 1
Let b(m) = -9*m**3 - 22*m**2 + 18*m + 31. Let n(d) = d**3 + 1. Let w(q) = -b(q) + 3*n(q). Factor w(c).
2*(c + 1)*(c + 2)*(6*c - 7)
Let o(u) be the second derivative of u**7/630 - u**6/45 + 2*u**5/15 - 7*u**4/4 + 16*u. Let r(j) be the third derivative of o(j). Suppose r(l) = 0. Calculate l.
2
Let n be 890*(-3)/(-408) + -6. Let d = n - -12/17. Determine h so that -d*h**4 + 5/2 - 25/4*h + 5/4*h**3 + 15/4*h**2 = 0.
-2, 1
Let f(j) be the first derivative of j**6/3 - 28*j**5/5 - 8*j**4 + 28*j**3/3 + 15*j**2 - 298. What is z in f(z) = 0?
-1, 0, 1, 15
Suppose 9 + 66 = 15*x. Suppose 2*w - x*w = -9. Determine t, given that 0 + 1/2*t**w + t + 3/2*t**2 = 0.
-2, -1, 0
Let c be 72/28 + -11 + 4 + 5. Factor 16/7 - 2/7*l**2 + c*l.
-2*(l - 4)*(l + 2)/7
Let h = -2488 + 2492. Factor 3/8*l**h + 9/8 - 9/4*l**3 - 15/4*l + 9/2*l**2.
3*(l - 3)*(l - 1)**3/8
Let k = -5 - -3. Let s(x) = x**2 + x - 1. Let b(a) = -a**2 - 2*a + 2. Let l be 1/(-8) - (-5)/((-80)/14). Let o(d) = k*s(d) + l*b(d). Let o(r) = 0. What is r?
0
Let t be (10/(-3))/(235/(-141)). Let o(w) be the first derivative of -9 + 5*w**3 + 0*w + 5/2*w**t. Let o(d) = 0. Calculate d.
-1/3, 0
Let s be 10/(-4)*104/(-65). Factor -22*g**4 - 16*g + 0*g + 9 + s*g**3 + 23*g**4 - 2*g**2 + 4*g.
(g - 1)**2*(g + 3)**2
Let f(q) be the third derivative of 0*q**4 - 4*q**2 - 1/21*q**3 + 1/210*q**5 + 0*q + 0. Factor f(o).
2*(o - 1)*(o + 1)/7
Let s be (-1180)/15 - 3/9. Let u = 241/3 + s. Factor 2/3 + u*h - 2*h**2.
-2*(h - 1)*(3*h + 1)/3
Let h = -2 + 2. Suppose 62*m - 284 + 40 = m. What is c in -4/13*c**m - 14/13*c**2 + 4/13*c + 14/13*c**3 + h = 0?
0, 1/2, 1, 2
Let j = -84 + 104. Factor 2 - 6*n - n**4 + 2*n + 12*n**2 - j + 2 - n**3.
-(n - 2)**2*(n + 1)*(n + 4)
Let s be (5 + 112/(-21))/(0/3 + -1). Suppose 2/3*f**3 - s*f**4 + 0*f**2 - 2/3*f + 1/3 = 0. Calculate f.
-1, 1
Find b, given that -16*b**3 - 4*b**4 - 13*b**3 + 10*b**3 - 36*b**2 + 40 + 28*b - 9*b**3 = 0.
-5, -2, -1, 1
Let y be (-8)/40*(0 + -1). Let r(d) be the third derivative of -1/100*d**5 + 0 + y*d**3 - 8*d**2 + 0*d + 1/40*d**4. Let r(q) = 0. Calculate q.
-1, 2
Let i be (-7 + 5)*10/(-4). Let a be 6/(i/(5/2)). Factor -2*h + h - h - h**3 + 5*h**a - 2*h**5.
-2*h*(h - 1)**2*(h + 1)**2
Let -2 + 2/11*s**3 - 18/11*s**2 - 42/11*s = 0. Calculate s.
-1, 11
Let q(m) be the first derivative of 4*m**5/25 + 4*m**4/5 + 4*m**3/5 - 8*m**2/5 - 16*m/5 - 83. Factor q(s).
4*(s - 1)*(s + 1)*(s + 2)**2/5
Factor 46/3*x**4 + 2/9*x**5 - 7346/9*x**2 + 848*x + 722/3*x**3 - 288.
2*(x - 1)**3*(x + 36)**2/9
Let g(r) be the third derivative of -r**6/480 + r**5/80 - r**3/6 - 16*r**2 - 7*r. Let g(t) = 0. Calculate t.
-1, 2
Solve -12*m**3 - 5*m**5 + 9*m**5 - 4*m**4 + 4*m**2 + 10*m - 2*m = 0.
-1, 0, 1, 2
Suppose 0*j - 2*j - 2*z = 102, -4*j = -3*z + 183. Let o be (j/(-10))/(14/105). Find q such that 3*q**4 + 5 + 5*q**2 - o*q + 34*q**2 + 7 - 10*q**3 - 8*q**3 = 0.
1, 2
Let y(k) be the second derivative of -k**4/3 + 12*k**3 + 38*k**2 + 218*k. Factor y(f).
-4*(f - 19)*(f + 1)
Let l(v) be the second derivative of 0 - 3/2*v**3 + 27/4*v**2 + 1/8*v**4 - 9*v. Factor l(p).
3*(p - 3)**2/2
Let t(j) be the third derivative of -3/560*j**8 + 1/100*j**5 + 0 + 0*j**3 + 0*j**4 - 1/200*j**6 + 0*j - 1/70*j**7 + 13*j**2. Factor t(a).
-3*a**2*(a + 1)**2*(3*a - 1)/5
Let t(f) be the second derivative of -7*f**6/6 + 121*f**5/4 - 85*f**4/6 + 17*f - 1. Factor t(x).
-5*x**2*(x - 17)*(7*x - 2)
Let t be (-1)/((-329)/141*(-6)/(-4)). Solve 0 + 6/7*k**3 + 0*k + 2/7*k**5 + t*k**2 + 6/7*k**4 = 0.
-1, 0
Let o(f) = 12*f**4 - 3*f**3 - 39*f**2 - 51*f - 27. Let x = -1 - 0. Let c(l) = l**4 + 3*l - l - 3*l + 8 - 9 + l**3. Let u(d) = x*o(d) + 15*c(d). Factor u(n).
3*(n + 1)**2*(n + 2)**2
Let l be 11 - 8 - (-9 + 0). Suppose -l = -6*i + 144. Suppose 10*v**5 + 26*v**2 + i*v**3 + 46*v**3 + 24 - 88*v**4 + 38*v**2 - 92*v + 10*v**5 = 0. Calculate v.
-1, 2/5, 1, 3
Let g(j) be the second derivative of -4*j**7/231 + j**6/165 + 7*j**5/110 - j**4/66 - j**3/11 - 258*j. Suppose g(a) = 0. Calculate a.
-1, -3/4, 0, 1
Let a be 138/(-30) + (-9)/(-15) + 5. Suppose 0 = -4*b - 4*l - 7 - a, 0 = 4*b + l + 2. Determine g so that 3/2*g**2 + b + 1/2*g = 0.
-1/3, 0
Let h(x) be the first derivative of 0*x - 7/4*x**2 - 36 - 1/6*x**3. Find s, given that h(s) = 0.
-7, 0
Let z be (-3 - 1)/((-3)/3). Suppose -3*l + z*d = -0*d - 8, 3*l - 10 = 2*d. Solve 48*k**3 + 3*k**4 + 2*k**4 - 4*k**4 - 51*k**3 + l*k = 0 for k.
-