 Let i(w) = m*p(w) - 2*h(w). Solve i(u) = 0 for u.
-1, 1
Suppose 3*t + 26 = 35. Suppose -18*q**4 + 32*q**2 - q + 9*q - q**3 - 9*q**t - 12*q**3 = 0. What is q?
-2, -2/9, 0, 1
Determine m, given that -4/3*m**3 + 8/3*m**2 + 0*m - 2/3*m**4 + 0 + 1/3*m**5 = 0.
-2, 0, 2
Let k = -88 - -92. Factor 3*m - k*m + 4*m + 3*m**2.
3*m*(m + 1)
Let c = 47 + -42. Let o(h) be the first derivative of -2*h**3 + 0*h + 3/8*h**4 + 3*h**2 - c. Solve o(a) = 0.
0, 2
Let z = 274 + -247. Let b be 5 - (57/(-8))/(z/(-18)). Determine n so that 0 - 3/4*n - b*n**2 = 0.
-3, 0
Suppose 5*b - 6*b + 2*j + 1 = 0, -4*b = -3*j - 9. Suppose 0 - 3/7*l**2 + b*l = 0. Calculate l.
0, 7
Let a be ((-2728)/96)/(-31) + 2/(-3). Let o(q) be the first derivative of -6 + 1/16*q**4 + 1/4*q + 1/10*q**5 - 1/8*q**2 - a*q**3. Factor o(u).
(u - 1)*(u + 1)**2*(2*u - 1)/4
Let r = 5377 + -26883/5. Factor 4/5*z**2 + 0 - 2/5*z**3 - r*z.
-2*z*(z - 1)**2/5
Let s = 170/9 + -18. Find n, given that -4/3*n**2 + 8/9*n - 2/9 - 2/9*n**4 + s*n**3 = 0.
1
Suppose -6*l = -4*j - 48, 7 - 35 = -l + 4*j. Find x such that 0 + 0*x - 4/3*x**2 + 4/3*x**l + 0*x**3 = 0.
-1, 0, 1
Let f(r) be the first derivative of -3/4*r - 3/32*r**4 + 1/4*r**3 - 3 + 3/16*r**2. Factor f(b).
-3*(b - 2)*(b - 1)*(b + 1)/8
Let o(k) be the third derivative of -k**6/660 + 2*k**5/33 + 43*k**4/132 + 2*k**3/3 + 3*k**2 - 13. Factor o(a).
-2*(a - 22)*(a + 1)**2/11
Let t(n) = -2*n**3 - 86*n**2 + 262*n + 94. Let r(c) = -2*c**3 - c**2 - c - 1. Let o(f) = 4*r(f) - t(f). Suppose o(d) = 0. Calculate d.
-1/3, 7
Let u(m) = 7*m**3 + 15*m**2 - 54*m - 77. Let l(j) = 11*j**3 + 22*j**2 - 81*j - 116. Let b(a) = -5*l(a) + 8*u(a). Factor b(s).
(s - 3)*(s + 1)*(s + 12)
Let z(q) be the first derivative of q**3/2 + 15*q**2 + 150*q - 8. Suppose z(j) = 0. Calculate j.
-10
Let 69*h**4 - 130*h**4 + 60*h**4 + h**3 = 0. What is h?
0, 1
Let j(r) be the first derivative of -r**3 + 6*r**2 - 305. Find q such that j(q) = 0.
0, 4
Let u(p) be the second derivative of p**5/100 - p**4/30 - 2*p**3/15 + 4*p**2/5 + 438*p. Determine l, given that u(l) = 0.
-2, 2
Let m(k) be the first derivative of k**5/20 - k**4/4 - k**3/4 + 5*k**2/4 + 2*k - 27. Suppose m(q) = 0. Calculate q.
-1, 2, 4
Let q be (-110)/(-55)*(-1)/(-3). Determine s so that -q*s**2 + 0*s**3 + 0 + 0*s + 2/3*s**4 = 0.
-1, 0, 1
Suppose -1 = 5*g + s, g = 9*s - 5*s + 4. Factor 177*j**2 + g*j**4 - 2*j**5 - 3*j**5 - 8*j**4 - j**3 - 175*j**2.
-j**2*(j + 1)**2*(5*j - 2)
Let w(n) be the second derivative of -25*n**6/6 - n**5/2 + 307*n. Factor w(c).
-5*c**3*(25*c + 2)
Factor -81/4*o**2 - 39/2*o - 3/4*o**3 + 0.
-3*o*(o + 1)*(o + 26)/4
Let y(h) be the first derivative of 12 - 3/4*h**5 + 3/4*h**3 - 21/8*h**2 + 21/16*h**4 + 3/2*h. Determine m, given that y(m) = 0.
-1, 2/5, 1
Let w(b) be the third derivative of -b**7/210 - b**6/90 - 11*b**3/6 + 12*b**2. Let h(d) be the first derivative of w(d). Factor h(y).
-4*y**2*(y + 1)
Let l(f) = 4*f + 32. Let p be l(-7). Suppose 2 = -5*j - x + 7, p*j = -5*x - 17. Factor 0*k**j + 8 - 8*k + 2*k**3 - 1/2*k**4.
-(k - 2)**3*(k + 2)/2
Suppose -z - 295 = -4*q, 0*z = -q - z + 80. Let s = 75 - q. Solve 0*v**2 - 1/3*v**4 + 2/3*v**3 - 1/3*v**5 + 0 + s*v = 0.
-2, 0, 1
Factor -2/9*x**2 + 64/9 - 28/9*x.
-2*(x - 2)*(x + 16)/9
Let o(v) be the second derivative of -1/30*v**5 + 0*v**2 + 2/9*v**4 - 4/9*v**3 + 0 + 16*v. Find n such that o(n) = 0.
0, 2
Determine t so that 7290 - 61*t**3 - 918*t + 71*t**2 + 59*t**3 - 169*t**2 = 0.
-27, 5
Let d = -8584 - -8587. Find k such that -3/5*k + 2/5*k**d + 2/5*k**2 - 3/5*k**4 + 1/5*k**5 + 1/5 = 0.
-1, 1
Factor o**2 - 3*o - 7*o + 20*o**4 + 20*o**3 + 9*o**2 + 15*o - 55*o**3.
5*o*(o - 1)**2*(4*o + 1)
Let a(k) be the third derivative of -k**5/660 + 8*k**4/11 - 1536*k**3/11 + 239*k**2. Let a(s) = 0. What is s?
96
Suppose 0 = 3*k + 4*k - 28. Let i(n) be the second derivative of -5*n + 1/18*n**3 + 1/36*n**k - 1/3*n**2 + 0. Suppose i(b) = 0. Calculate b.
-2, 1
Suppose -89 - 65 = -42*s - 28. Factor 0*u + 2/5*u**2 + 0*u**4 + 3/5*u**s + 0 - 1/5*u**5.
-u**2*(u - 2)*(u + 1)**2/5
Suppose 2*w + 5*l + 26 = 0, 0 = l + 4. Let c = w + 3. Factor -2 + c - a**2 + a + 2*a**2.
(a - 1)*(a + 2)
Solve 2/13*w**4 + 8/13 + 12/13*w**3 + 24/13*w + 2*w**2 = 0 for w.
-2, -1
Find f, given that 10*f**3 + 0*f + 4*f**5 + 0*f - 24*f**4 + 6*f**3 - 16*f**2 + 20*f**3 = 0.
0, 1, 4
Let m(w) = -3*w + 2. Let u be m(-6). Suppose 0 = 4*s + 5*v - 36, -4*v + u = 3*s - 2*v. Factor 2/11*z**s + 2/11*z**5 + 0*z**2 + 0*z + 0*z**3 + 0.
2*z**4*(z + 1)/11
Let z(w) be the second derivative of 2*w**6/15 - 31*w**5/20 - 11*w**4/3 - 3*w**3/2 + 23*w + 2. Factor z(s).
s*(s - 9)*(s + 1)*(4*s + 1)
Determine j, given that 0 + 66/5*j**3 + 2/5*j**5 + 8*j + 4*j**4 + 88/5*j**2 = 0.
-5, -2, -1, 0
Factor -7 - 32*v**2 + 35*v**4 + 142*v**2 - 119*v + 22 + 5*v**5 - 12*v**3 + 102*v**3 + 184*v.
5*(v + 1)**4*(v + 3)
Let j(n) = -8*n**4 + 2*n**3 + 4*n**2 - 6. Let m(x) = 7*x**4 - 2*x**3 - 4*x**2 + 5. Let l(c) = -5*j(c) - 6*m(c). Factor l(d).
-2*d**2*(d - 2)*(d + 1)
Suppose -3/7*l**2 - 21 + 150/7*l = 0. Calculate l.
1, 49
Let w(o) be the third derivative of o**7/420 - o**6/240 - o**5/20 + o**4/12 + 2*o**3/3 - 2*o**2 - 531. Find l such that w(l) = 0.
-2, -1, 2
Let b be 25 - 23 - 8/5. Let c(t) be the first derivative of 2*t**2 - b*t**5 - t**4 + 0*t**3 + 2*t + 1. Factor c(j).
-2*(j - 1)*(j + 1)**3
Suppose -2*o - 5 = 3. Let g be (-22)/o - (4 + 0). Factor -1/2*l**5 - g*l**4 + 0*l + 0*l**2 + 0 - l**3.
-l**3*(l + 1)*(l + 2)/2
Let k(h) be the second derivative of -h**5/20 - h**4/12 + 4*h**3/3 + 6*h**2 + 3*h + 17. Determine r so that k(r) = 0.
-2, 3
Let t(k) be the first derivative of -k**4 - 248*k**3/3 + 254*k**2 - 256*k + 576. Suppose t(g) = 0. Calculate g.
-64, 1
Suppose -5*f - 2 - 12 = -o, -4*o = f + 7. Let p be (-7 - -6) + o/1*-3. Let -4*q**3 + 0 + 2/5*q + 2/5*q**p + 16/5*q**4 = 0. What is q?
-1/4, 0, 1/2, 1
Suppose -3*a + 12 = -3*q, 3*a + 1 = -5*q - 19. Let o(v) = -5*v - 18. Let r be o(q). Let 5/4*n**2 + 1/4*n**3 + r*n + 1 = 0. What is n?
-2, -1
Let y(c) = c**2 + 6*c - 5. Let u be y(-7). Suppose f**2 + 3 + f**2 - 7*f**u + 6*f**3 - 4*f**2 = 0. Calculate f.
-1/2, 1
Let z = 32 - 24. Factor 10*u**2 - 8 + 2*u**3 + 2*u - 10*u - z*u**2.
2*(u - 2)*(u + 1)*(u + 2)
Let a be 4/(-230) + (0 - 2) + 2. Let j = 244/805 + a. Factor -j*t**2 - 2/7*t**3 + 0 + 4/7*t.
-2*t*(t - 1)*(t + 2)/7
Let a(s) be the second derivative of s**6/6 + s**5/4 - 5*s**4/4 - 5*s**3/6 + 5*s**2 + 4*s - 12. Determine f, given that a(f) = 0.
-2, -1, 1
Let a(r) be the second derivative of -25/24*r**4 + 0 + 5*r**3 + 10*r + 1/12*r**5 - 2*r**2. Let s(y) be the first derivative of a(y). Factor s(f).
5*(f - 3)*(f - 2)
Let t(u) = -200*u**3 + 3640*u**2 + 3013*u + 603. Let c(g) = 300*g**3 - 5460*g**2 - 4520*g - 904. Let s(v) = -5*c(v) - 8*t(v). Determine l so that s(l) = 0.
-2/5, 19
Let a(z) be the third derivative of -117649*z**6/180 + 9604*z**5/15 - 784*z**4/3 + 512*z**3/9 - 916*z**2. Solve a(t) = 0 for t.
8/49
Let z(r) be the first derivative of -r**6/33 + 12*r**5/55 - 9*r**4/22 + 8*r**3/33 - 123. Determine a, given that z(a) = 0.
0, 1, 4
Let r = -349 + 1048/3. Factor -1/3*i**2 + r*i + 0.
-i*(i - 1)/3
Let v be ((0 - -3)/(-18))/(12/(-36)). Suppose w - 2 = 5*w - 2*d, -2*d = 4*w - 2. Factor -1/4*s**3 - v*s**2 + 0 + w*s.
-s**2*(s + 2)/4
Let u be 6/18*1248/65. Determine q so that 4/5 + 46/5*q**2 - 6*q - u*q**4 + 48/5*q**3 = 0.
-1, 1/4, 2
Let l(o) = 2*o**3 + 9*o**2 - o + 5. Suppose d + 25 = 5*x, 0 = x + 4*x - 20. Let j(q) = -3*q**3 - 9*q**2 - 6. Let z(s) = d*j(s) - 6*l(s). Factor z(g).
3*g*(g - 2)*(g - 1)
Let y = -699/2 + 350. Suppose 0*l**3 - y*l**5 - l**4 + 0 + 1/2*l + l**2 = 0. Calculate l.
-1, 0, 1
Let b(l) be the first derivative of -l**4/20 - 2*l**3/15 - l**2/10 + 73. Let b(t) = 0. Calculate t.
-1, 0
Let q(u) be the third derivative of 0*u**4 - 11*u**2 + 0*u**5 + 0*u**3 + 0*u**6 - 1/210*u**7 + 0*u + 0. Let q(b) = 0. Calculate b.
0
Let w(b) be the first derivative of b**2 - 2*b + 2/3*b**3 - 18 - 1/2*b**4. Factor w(t).
-2*(t - 1)**2*(t + 1)
Suppose -9*a - 29 = -83. Suppose 0 = a*n + 3*n. Factor -1/4*f - 1/4*f**2 + n.
-f*(f + 1)/4
Let z = 2212 + -4421/2. Factor -z*h - 3/2*h**2 + 0 + 3*h**3.
3*h*(h - 1)*(2*h + 1)/2
Let t(s) be the second derivative of s**4/60 - 4*s**3/3 + 474*s. Factor t(m).
m*(m - 40)/5
Let k be 5 - (-128)/(-40)