m - 104*m.
4*(m - 82)*(m + 2)
Let x(v) = 2*v**4 + 2*v**3 + 2*v**2 + v. Let d(z) = -z**4 + z**3 + z**2. Let j(k) = d(k) + x(k). Factor j(b).
b*(b + 1)**3
Factor -h**3 - 5*h**3 - 7*h - 23*h**2 + 2 - 3*h + 37*h**2.
-2*(h - 1)**2*(3*h - 1)
Let l(a) be the second derivative of a**4/6 + 10*a**3/3 - 11*a**2 - 93*a. Factor l(w).
2*(w - 1)*(w + 11)
Let -2/3*q**3 + 32/3*q + 0 - 4*q**2 = 0. Calculate q.
-8, 0, 2
Let r be 4/16 + (-84)/(-48). Let l(n) be the first derivative of n + 1/2*n**r + 1/12*n**3 + 1. Factor l(o).
(o + 2)**2/4
Let t(j) = -6*j**5 + 8*j**4 + 20*j**3 - 12*j**2 - 20*j + 2. Let k(i) = 7*i**5 - 6*i**4 - 20*i**3 + 12*i**2 + 22*i - 3. Let q(v) = -2*k(v) - 3*t(v). Factor q(p).
4*p*(p - 4)*(p - 1)*(p + 1)**2
Suppose 0*y - 1/9*y**3 - 7/9*y**2 + 0 = 0. Calculate y.
-7, 0
Let k = -2106 - -2108. Factor -1/2*b**3 - 1/4*b**4 + 0 + 0*b + 0*b**k.
-b**3*(b + 2)/4
Let q(t) = 8*t - 14*t + t + 107 + 0*t. Let g be q(21). Find p such that 56/3*p**g + 22*p + 10/3*p**3 - 12 = 0.
-3, 2/5
Let r = -11 + 6. Let c be (-35)/14*6/r. Factor -4*f - 3*f - c*f**2 + 4*f.
-3*f*(f + 1)
Let h(i) be the first derivative of 0*i + 1/5*i**5 - 1/2*i**4 + 0*i**2 - 6 + 0*i**3. Factor h(z).
z**3*(z - 2)
Let -6*l**2 + 2354 - 3*l**5 + 3*l - 2354 + 6*l**4 = 0. Calculate l.
-1, 0, 1
Let j(t) = -2*t - 2. Let b be j(-3). Suppose 0 = 5*w - b*w. Find d, given that 1/5*d**2 + w + 1/5*d = 0.
-1, 0
Solve -1/2*i**4 - 15/2*i**3 - 73/2*i - 57/2*i**2 - 15 = 0 for i.
-10, -3, -1
Suppose 4*p = b - 6*b + 5566, 5530 = 5*b - 5*p. Let l = b + -9980/9. Factor -1/9*o**2 - l*o - 25/9.
-(o + 5)**2/9
Determine h so that -232*h + 4*h**2 - 3 + 4 + 222*h + 2*h**3 - 13 = 0.
-3, -1, 2
Determine n, given that -57*n**3 - 6*n**2 + 24*n + 3*n**2 + 36 + 54*n**3 + 0*n**2 = 0.
-2, 3
Suppose -8*c = -10*c + 82. Let m = c - 31. Determine q so that -3*q**2 + 7*q + 3*q - m*q - 3*q = 0.
-1, 0
Let o(m) be the first derivative of 2*m**6/15 - 3*m**5/10 + m**4/6 + 9*m + 4. Let u(b) be the first derivative of o(b). Factor u(j).
2*j**2*(j - 1)*(2*j - 1)
Let f be ((0 - (7 - 7))/3)/(3 + -7). Factor 0 + f*u + 0*u**2 - 18/5*u**3 - 6/5*u**4.
-6*u**3*(u + 3)/5
Let -38/3 - 25*s + 1/3*s**3 - 12*s**2 = 0. What is s?
-1, 38
Let d be (-13)/(-7) + 18/126. Determine q, given that -4*q**2 + 10*q**2 - q**3 + d*q**3 - q**4 - 4*q - 8 = 0.
-2, -1, 2
Let x(l) = l**3 - l**2. Let f(p) = -9*p**3 - 16*p**2 + 35*p + 50. Let o(a) = -f(a) - 4*x(a). Solve o(j) = 0.
-5, -1, 2
Suppose 2*q - 6*q = -24. Let r(b) be the first derivative of 4 - q*b - b**3 - 9/2*b**2. Factor r(m).
-3*(m + 1)*(m + 2)
Let m(g) be the third derivative of -5/9*g**3 + 12*g**2 + 0*g + 1/9*g**4 + 1/90*g**5 + 0. Factor m(x).
2*(x - 1)*(x + 5)/3
Let a(v) be the second derivative of 0*v**3 + 0*v**2 - 1/12*v**4 + 1/30*v**6 + 0 + 0*v**5 + 12*v. Factor a(s).
s**2*(s - 1)*(s + 1)
Let g = -900 - -900. Factor -2*v + g + 2/5*v**2.
2*v*(v - 5)/5
Let p(i) be the first derivative of i**2 - 1/3*i**3 - 3/4*i**4 + 1/6*i**6 + 1/5*i**5 - 1 + 0*i. Find m, given that p(m) = 0.
-2, -1, 0, 1
Let z(x) be the first derivative of -x**6/15 + 6*x**5/25 - 8*x**3/15 - 73. Solve z(l) = 0 for l.
-1, 0, 2
Let j(h) = 4*h**3 - 7*h**2 - 51*h - 47. Let k(u) = 5*u**3 - 5*u**2 - 50*u - 46. Let y(i) = -6*j(i) + 5*k(i). Find m such that y(m) = 0.
-13, -2
Let s(i) be the third derivative of -i**7/12600 - i**6/900 - i**5/200 - 3*i**4/2 - 45*i**2. Let h(o) be the second derivative of s(o). Factor h(m).
-(m + 1)*(m + 3)/5
Solve -207/2*l - 14283/4 - 3/4*l**2 = 0 for l.
-69
Let u = -304 + 306. Let c(t) be the first derivative of 4 + 2*t**3 + 2/3*t - u*t**2. Suppose c(h) = 0. Calculate h.
1/3
Let f(b) be the second derivative of 5*b**7/42 + 2*b**6/3 + 3*b**5/2 + 5*b**4/3 + 5*b**3/6 - 7*b + 3. Solve f(s) = 0 for s.
-1, 0
Let o(p) be the second derivative of 5*p**4/12 + 235*p**3/6 + 115*p**2 + 58*p. Solve o(f) = 0.
-46, -1
Suppose 4 = -4*i - 4*w, -6*i - 2*w = -5*i + 5. Factor -2/7*p**4 - 8/7 - 8/7*p + 4/7*p**i + 6/7*p**2.
-2*(p - 2)**2*(p + 1)**2/7
Let n(v) be the second derivative of v**6/6 + 9*v**5/4 + 15*v**4/2 - 80*v**3/3 - 240*v**2 - 105*v. Determine w, given that n(w) = 0.
-4, -3, 2
Let b = -919/206 - -614/103. Factor -3*g**3 + 3*g + 3/2*g**4 + 0 - b*g**2.
3*g*(g - 2)*(g - 1)*(g + 1)/2
Suppose -32*y - y + 94 = 14*y. Solve -5/2*q**y + 1 - 3/2*q = 0.
-1, 2/5
Let f = -24 - -31. What is q in 5*q - f*q + 8*q**2 - 6*q**2 - 4 = 0?
-1, 2
Let k(y) be the third derivative of y**6/60 - 4*y**4/3 - 40*y**2 - 2. Factor k(x).
2*x*(x - 4)*(x + 4)
Factor 4*g**2 + 3*g + 11*g - 42 + 90 + 4*g + 14*g.
4*(g + 2)*(g + 6)
Factor 40/9*w**2 + 8/3*w + 0 + 2*w**3 + 2/9*w**4.
2*w*(w + 1)*(w + 2)*(w + 6)/9
Let w(l) = -l**4 + l**3 + l**2. Let n(t) = -4*t**4 + 2*t**3 - 4*t**2 + 12*t. Suppose 0 = 2*g + 6*g - 48. Let f(d) = g*w(d) - n(d). Factor f(a).
-2*a*(a - 3)*(a - 1)*(a + 2)
Solve 36*u - 39*u**2 + 29*u**4 - 78*u**4 + 26*u**4 + 26*u**4 = 0.
-4, 0, 1, 3
Find h such that -h**5 + h + 0*h**3 + 3*h + 2*h**5 + h**3 - 6*h**3 = 0.
-2, -1, 0, 1, 2
Let r(g) be the first derivative of 8 - 10*g**2 - 25/4*g**4 + g**5 + 40/3*g**3 + 0*g. Factor r(w).
5*w*(w - 2)**2*(w - 1)
Factor -4/13 - 6/13*j + 2/13*j**3 + 0*j**2.
2*(j - 2)*(j + 1)**2/13
Let x(c) be the second derivative of c**5/4 + 15*c**4/4 + 115*c**3/6 + 75*c**2/2 + c - 82. Factor x(k).
5*(k + 1)*(k + 3)*(k + 5)
Let n(i) be the first derivative of i**5/80 + i**4/48 + 18*i - 23. Let a(u) be the first derivative of n(u). Solve a(v) = 0 for v.
-1, 0
Let l(n) = 3*n**3 - 7*n**2 - 2*n. Let q(s) = -2*s**3 + 7*s**2 + 3*s. Let f(b) = 3*l(b) + 4*q(b). Find t, given that f(t) = 0.
-6, -1, 0
Let a = 18051 - 18048. Solve -3/7*z**a - 6/7*z - 9/7*z**2 + 0 = 0.
-2, -1, 0
Factor -32 - 1987*g + 1987*g + 42*g**2 - 10*g**3.
-2*(g - 4)*(g - 1)*(5*g + 4)
Let k = 3017 + -3017. Let k + 0*z - 1/3*z**2 = 0. Calculate z.
0
Let m(c) be the third derivative of -c**6/1080 + c**5/45 - 2*c**4/9 - 5*c**3/6 + 2*c**2. Let a(z) be the first derivative of m(z). Let a(s) = 0. Calculate s.
4
Let b(n) = -9*n**2 + 32*n + 385. Let w be b(-5). Let -3/4*t**4 + 3/4*t**3 + 3/4*t**2 + w - 3/4*t = 0. Calculate t.
-1, 0, 1
Factor -202612/3 + 226/3*l**3 + 117734/3*l - 2/3*l**4 - 2886*l**2.
-2*(l - 37)**3*(l - 2)/3
Let b = 29353/5 - 5861. Solve 36/5 + b*s + 21/5*s**2 + 3/5*s**3 = 0 for s.
-3, -2
Let g(q) be the third derivative of -q**5/45 - 5*q**4/12 + 50*q**3/9 - 534*q**2. Let g(v) = 0. What is v?
-10, 5/2
Let o(x) be the second derivative of 10/3*x**4 + 5/2*x**2 + 4*x**5 - 35/6*x**3 + 7*x + 0. Find a, given that o(a) = 0.
-1, 1/4
Let y(t) be the third derivative of -t**7/1575 - t**6/900 + 2*t**5/225 + t**4/45 + 4*t**2 - 19*t. Determine l, given that y(l) = 0.
-2, -1, 0, 2
Let o(f) be the first derivative of 0*f**3 + 1/40*f**4 + 0*f + 7 - 1/5*f**2. Determine i so that o(i) = 0.
-2, 0, 2
Let c(u) be the first derivative of u**4/2 - 344*u**3 + 88752*u**2 - 10176896*u - 149. Find r such that c(r) = 0.
172
Let z be ((-63)/(-168))/((-9)/(-48)). Let 32/5*s + 4/5*s**z + 64/5 = 0. Calculate s.
-4
Suppose -c + 7 = a + 2, -a + 15 = 3*c. Find p, given that 0 - 12*p - 147/2*p**c - 357/2*p**4 - 27*p**3 + 66*p**2 = 0.
-2, -1, 0, 2/7
Find b such that 47*b + 5*b**2 - 5*b**2 - 48 - 31*b + 4*b**2 = 0.
-6, 2
Let a(p) = 16*p + 2. Let d be a(1). Let z be (6 - 111/d)*(-3 + 1). Factor -2/3*q**2 - 8/3 + 4*q + z*q**4 - q**3.
(q - 2)**2*(q - 1)*(q + 2)/3
Let k be 3 - ((-51)/(-27) + (-2)/(-2)). Let p(s) be the first derivative of 0*s + 1/15*s**5 + 2 + k*s**3 - 1/6*s**4 + 0*s**2. Factor p(i).
i**2*(i - 1)**2/3
Factor 10 - 15*x**3 + 15*x - 123*x**2 - 5*x**4 + 118*x**2 + 0*x**4.
-5*(x - 1)*(x + 1)**2*(x + 2)
Suppose -9*s + 2*w = -4*s - 181, -2*s + 67 = w. Suppose s = 4*y + 35. Factor 1/2 + x**3 + y*x**4 - 1/4*x**5 - 3/4*x - 1/2*x**2.
-(x - 1)**3*(x + 1)*(x + 2)/4
Factor 4 - 7/3*s**2 - 1/6*s**5 - 7/2*s**3 + 10/3*s - 4/3*s**4.
-(s - 1)*(s + 2)**3*(s + 3)/6
Let u(y) = 15*y**2 - 417*y - 46. Let v be u(28). Suppose -4 - 22/3*p + v*p**2 + 40/3*p**3 = 0. Calculate p.
-3, -1/4, 2/5
Let q(a) be the second derivative of -2*a**6/15 + 2*a**5/35 + a**4 + 16*a**3/21 - 8*a**2/7 - 6*a + 5. Determine n so that q(n) = 0.
-1, 2/7, 2
Find l such that -364 - 357 + 730 + 15*l + 3*l**2 - 3*l**3 = 0.
-1, 3
Let u(b) = 17*b**2 + 15*b + 25. Let v(r) = -5*r**2 - 5*r - 8. Let w(z) = -4*u(z) - 14*v(z). Suppose w(d) = 0. 